Finite Group Databasebeta

← #13155847

Subgroups — #13155847

Order 1728.

1000 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D3×D12C211yesmaximal, characteristic
2#11723426C211yesmaximal, characteristic, complemented
3C2×#88796C211yesmaximal, characteristic, complemented
4C2×#88794C211yesmaximal, characteristic, complemented
5#11722075C211yesmaximal, characteristic, complemented
6C3×#63563C211yesmaximal, characteristic, complemented
7C3×(C2×D3)⋊(C3⋊C8)C211yesmaximal, characteristic, complemented
8#10591459—31nomaximal
9#10591172—31nomaximal
10#10590946—31nomaximal
11C22×C3×D32—21no—
12C2×#6308C2211yescharacteristic, complemented
13C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
14C2×C32×D12C2211yescharacteristic
15C2×C32×C4×D3C2211yescharacteristic
16C2×C3×#626—21no—
17C3×D3×D12—22no—
18C3×D3×D12—22no—
19C3×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
20C2×C3×C3⋊(C3⋊C8)C2211yescharacteristic, complemented
21C2×C32×C3⋊C8C2211yescharacteristic, complemented
22#88807—21no—
23(C2×D3)⋊(C3⋊Dic3)—21no—
24#88796—22no—
25#88794—22no—
26C2×C3×D3×D4—31no—
27C22×C3×D12—31no—
28C2×D3×D12D311yescharacteristic
29C2×#3754—31no—
30#64133—31no—
31C2×#3744—31no—
32#63857—31no—
33#63857—31no—
34#63857—61no—
35C2×#3716—31no—
36C2×#3716—31no—
37C2×#3716—31no—
38C2×#3716—31no—
39C2×#3716—61no—
40C2×#3716—61no—
41C3×#832—31no—
42C3×#830—31no—
43C3×#821—31no—
44C3×(C2×D3)⋊C8—31no—
45#63564—31no—
46#63563—31no—
47#63563D311yescharacteristic, complemented
48#63562—31no—
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—
58#6308—21no—
59#6308—21no—
60C2×C3×C3⋊Dic3—21no—
61C3×C4⋊(C3⋊D3)—21no—
62C3×C4⋊(C3⋊D3)D412yes—
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#4776—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×#634—31no—
81C2×#634—31no—
82C2×#634—31no—
83C2×#634—61no—
84C2×#634—61no—
85C2×#634—61no—
86C2×#634—121no—
87C2×C3×#67—61no—
88C3×D3×D4—62no—
89C3×D3×D4—62no—
90C2×C3×D12—21no—
91C2×C3×D12—31no—
92C2×C3×D12—31no—
93C2×C3×D12—62no—
94C2×C3×D12—61no—
95C2×C3×D12—62no—
96C2×C3×D12—61no—
97C2×C3×D12C2×D311yescharacteristic
98C2×C3×D12C2×D311yescharacteristic
99C2×C3×C4×D3—21no—
100C2×C3×C4×D3C2×D311yescharacteristic
101C2×C3×C4×D3C2×D311yescharacteristic
102C2×#626—21no—
103D3×D12—22no—
104D3×D12—22no—
105C2×C32×C8—31no—
106#3757—61no—
107#3754—62no—
108C4⋊(C3⋊Dic3)C2×D311yescharacteristic, complemented
109#3750—61no—
110C2×C3⋊(C3⋊C8)C2×D311yescharacteristic, complemented
111#3744—62no—
112C3×C4⋊Dic3—31no—
113C3×C4⋊Dic3—31no—
114C3×C4⋊Dic3—61no—
115C2×C3×C3⋊C8—21no—
116C2×C3×C3⋊C8—31no—
117C2×C3×C3⋊C8—31no—
118C2×C3×C3⋊C8—61no—
119C2×C3×C3⋊C8C2×D311yescharacteristic, complemented
120C2×C3×C3⋊C8C2×D311yescharacteristic, complemented
121Dic3⋊Dic3—62no—
122Dic3⋊Dic3—61no—
123Dic3⋊Dic3—61no—
124(C2×D3)⋊Dic3—62no—
125(C2×D3)⋊Dic3—61no—
126(C2×D3)⋊Dic3—61no—
127#3716—62no—
128#3716—62no—
129#3716—64no—
130#3716—64no—
131#3716—62no—
132#3716—62no—
133C22×C33C2×D411yescharacteristic
134C2×C3×C3⋊D3—22no—
135C2×C3×C3⋊D3—41no—
136C2×C3×C3⋊D3—41no—
137C2×C32×D3—21no—
138C2×C32×D3—21no—
139C2×C32×D3—22no—
140C2×C32×D3—41no—
141C2×C32×D3—41no—
142C2×C32×D3SD1612yescomplemented
143C3×D32—48no—
144C33×C4C2×D411yescharacteristic
145C33×C4C2×D411yescharacteristic
146C3⋊(C3⋊Dic3)—41no—
147C3×C3⋊Dic3—41no—
148C32×Dic3—21no—
149C22×C3×D4—91no—
150C2×D3×D4—31no—
151C22×D12—31no—
152C2×#214—91no—
153C2×#214—91no—
154C2×#214—91no—
155C2×#214—181no—
156#924—91no—
157#924—91no—
158#924—181no—
159C2×#204—91no—
160C2×#204—91no—
161C2×#204—91no—
162C2×#204—181no—
163#897—91no—
164C3×#102—91no—
165C3×C22⋊C8—91no—
166#832—31no—
167#832—91no—
168#830—31no—
169#821—31no—
170#821—91no—
171(C2×D3)⋊C8—31no—
172#809—91no—
173C23×C32—31no—
174C23×C32—61no—
175C22×C3⋊D3—21no—
176C22×C3×D3—21no—
177C22×C3×D3—21no—
178C22×C3×D3—21no—
179C22×C3×D3—41no—
180C22×C3×D3—64no—
181C22×C3×D3—64no—
182C22×C3×D3—61no—
183C22×C3×D3—61no—
184C22×C3×D3—121no—
185C22×C3×D3—122no—
186C22×C3×D3—122no—
187C22×C3×D3—122no—
188C22×C3×D3—122no—
189C22×C3×D3D1211yescharacteristic
190C22×C3×D3#6711yescharacteristic
191C2×D32—24no—
192C2×D32—42no—
193C2×D32—42no—
194C32×D4—32no—
195C32×D4—61no—
196C2×C32×C4—21no—
197C2×C32×C4—21no—
198C2×C32×C4—21no—
199C2×C32×C4—31no—
200C2×C32×C4—41no—
201C2×C32×C4—61no—
202C2×C32×C4—61no—
203C2×C32×C4C22×D311yescharacteristic
204C2×C32×C4C22×D311yescharacteristic
205C2×C32×C4C22×D311yescharacteristic
206C2×C3⋊Dic3—21no—
207C2×C3⋊Dic3—61no—
208C2×C3⋊Dic3—62no—
209C2×C3⋊Dic3—61no—
210C2×C3⋊Dic3—61no—
211C2×C3⋊Dic3—121no—
212C2×C3⋊Dic3—121no—
213C2×C3⋊Dic3—122no—
214C4⋊(C3⋊D3)—21no—
215C4⋊(C3⋊D3)#6712yes—
216#634—61no—
217#634—61no—
218#634—62no—
219#634—62no—
220#634—61no—
221#634—61no—
222#634—61no—
223#634—61no—
224#634—121no—
225#634—121no—
226#634—121no—
227#634—121no—
228#634—122no—
229#634—122no—
230C3×#67—64no—
231C2×C3×Dic3—21no—
232C2×C3×Dic3—62no—
233C2×C3×Dic3—61no—
234C2×C3×Dic3—61no—
235C2×C3×Dic3D1211yescharacteristic
236C2×C3×Dic3#6711yescharacteristic
237C3×D12—21no—
238C3×D12—21no—
239C3×D12—22no—
240C3×D12—32no—
241C3×D12—32no—
242C3×D12—41no—
243C3×D12—62no—
244C3×D12—64no—
245C3×D12—61no—
246C3×D12—61no—
247C3×D12—121no—
248C3×D12D1212yes—
249C3×D12#6712yes—
250C3×C4×D3—21no—
251C3×C4×D3—21no—
252C3×C4×D3—21no—
253C3×C4×D3—21no—
254C3×C4×D3—41no—
255C3×C4×D3—41no—
256#626—24no—
257C32×C8—61no—
258C3⋊(C3⋊C8)—21no—
259C3×C3⋊C8—22no—
260C3×C3⋊C8—21no—
261C3×C3⋊C8—21no—
262C3×C3⋊C8—62no—
263C3×C3⋊C8—61no—
264C3×C3⋊C8—61no—
265#450—271noSylow
266C2×C33#12011yescharacteristic
267C2×C33C2×SD1611yescharacteristic
268C2×C33AGL(1,ℤ/8)11yescharacteristic
269C3×C3⋊D3—42no—
270C32×D3—22no—
271C32×D3—42no—
272C24×C3—181no—
273C23×D3—61no—
274C23×D3—61no—
275C2×C3×D4—31no—
276C2×C3×D4—31no—
277C2×C3×D4—61no—
278C2×C3×D4—91no—
279C2×C3×D4—181no—
280C2×C3×D4—182no—
281C2×C3×D4—182no—
282C22×C3×C4—31no—
283C22×C3×C4—31no—
284C22×C3×C4—61no—
285C2×#67—61no—
286D3×D4—62no—
287D3×D4—62no—
288C2×D12—31no—
289C2×D12—31no—
290C2×D12—61no—
291C2×D12—62no—
292C2×D12—61no—
293C2×D12—62no—
294C2×D12D3211yescharacteristic
295C2×C4×D3D3211yescharacteristic
296C2×Dic6—91no—
297C2×Dic6—91no—
298C2×Dic6—91no—
299C2×Dic6—181no—
300C2×Dic6—181no—
301C2×Dic6—181no—
302C2×Dic6—361no—
303C2×C3×C8—31no—
304C2×C3×C8—31no—
305C2×C3×C8—61no—
306C2×C3×C8—91no—
307C3×C4⋊C4—91no—
308#217—181no—
309#217—181no—
310#217—182no—
311#214—182no—
312#214—182no—
313#214—182no—
314#214—184no—
315(C2×D3)⋊C4—181no—
316C4⋊Dic3—31no—
317C4⋊Dic3—31no—
318C4⋊Dic3—61no—
319C4⋊Dic3—181no—
320Dic3⋊C4—181no—
321Dic3⋊C4—181no—
322Dic3⋊C4—182no—
323C2×C3⋊C8—31no—
324C2×C3⋊C8—31no—
325C2×C3⋊C8—61no—
326C2×C3⋊C8D3211yescharacteristic, complemented
327#204—182no—
328#204—182no—
329#204—184no—
330#204—182no—
331C22×C32—21no—
332C22×C32—21no—
333C22×C32—21no—
334C22×C32—32no—
335C22×C32—41no—
336C22×C32—61no—
337C22×C32—61no—
338C22×C32—62no—
339C22×C32—121no—
340C22×C32—121no—
341C22×C32C2×D1211yescharacteristic
342C22×C32D3×D411yescharacteristic
343C22×C32C2×#6711yescharacteristic
344C2×C3⋊D3—22no—
345C2×C3⋊D3—41no—
346C2×C3⋊D3—41no—
347C2×C3×D3—21no—
348C2×C3×D3—21no—
349C2×C3×D3—21no—
350C2×C3×D3—21no—
351C2×C3×D3—22no—
352C2×C3×D3—22no—
353C2×C3×D3—22no—
354C2×C3×D3—41no—
355C2×C3×D3—41no—
356C2×C3×D3—42no—
357C2×C3×D3—41no—
358C2×C3×D3—41no—
359C2×C3×D3—41no—
360C2×C3×D3—41no—
361C2×C3×D3—62no—
362C2×C3×D3—62no—
363C2×C3×D3—81no—
364C2×C3×D3—81no—
365C2×C3×D3—122no—
366C2×C3×D3—128no—
367C2×C3×D3—128no—
368C2×C3×D3—121no—
369C2×C3×D3—121no—
370C2×C3×D3—121no—
371C2×C3×D3—121no—
372C2×C3×D3—241no—
373C2×C3×D3—241no—
374C2×C3×D3#20412yescomplemented
375C2×C3×D3#21412yescomplemented
376D32—48no—
377C32×C4—21no—
378C32×C4—21no—
379C32×C4—21no—
380C32×C4—21no—
381C32×C4—21no—
382C32×C4—21no—
383C32×C4—41no—
384C32×C4—41no—
385C32×C4—61no—
386C32×C4C2×D1211yescharacteristic
387C32×C4D3×D411yescharacteristic
388C32×C4D3×D411yescharacteristic
389C32×C4D3×D411yescharacteristic
390C32×C4C2×#6711yescharacteristic
391C32×C4C2×#6711yescharacteristic
392C3⋊Dic3—41no—
393C3⋊Dic3—122no—
394C3⋊Dic3—122no—
395C3⋊Dic3—122no—
396C3⋊Dic3—124no—
397C3⋊Dic3—121no—
398C3⋊Dic3—121no—
399C3⋊Dic3—121no—
400C3×Dic3—21no—
401C3×Dic3—21no—
402C3×Dic3—41no—
403C3×Dic3—122no—
404C3×Dic3—121no—
405C3×Dic3—121no—
406C22×D4—91no—
407C2×SD16—271no—
408C2×SD16—271no—
409C22⋊Q8—271no—
410#102—91no—
411#102—271no—
412C22⋊C8—91no—
413C33#45011yescharacteristic, complemented, Sylow
414C23×C3—31no—
415C23×C3—31no—
416C23×C3—61no—
417C23×C3—61no—
418C23×C3—61no—
419C23×C3—121no—
420C23×C3—184no—
421C23×C3—181no—
422C23×C3—362no—
423C23×C3—362no—
424C22×D3—21no—
425C22×D3—64no—
426C22×D3—64no—
427C22×D3—61no—
428C22×D3—61no—
429C22×D3—121no—
430C22×D3—122no—
431C22×D3—122no—
432C22×D3—122no—
433C22×D3—122no—
434C22×D3#62611yescharacteristic
435C3×D4—32no—
436C3×D4—32no—
437C3×D4—62no—
438C3×D4—61no—
439C3×D4—61no—
440C3×D4—92no—
441C3×D4—121no—
442C3×D4—184no—
443C3×D4—181no—
444C2×C3×C4—21no—
445C2×C3×C4—21no—
446C2×C3×C4—21no—
447C2×C3×C4—31no—
448C2×C3×C4—31no—
449C2×C3×C4—41no—
450C2×C3×C4—61no—
451C2×C3×C4—61no—
452C2×C3×C4—61no—
453C2×C3×C4—61no—
454C2×C3×C4—61no—
455C2×C3×C4—121no—
456C2×C3×C4—121no—
457C2×C3×C4—181no—
458C2×C3×C4C2×D3211yescharacteristic
459C2×C3×C4C2×D3211yescharacteristic
460C2×C3×C4C2×D3211yescharacteristic
461#67—64no—
462C2×Dic3—62no—
463C2×Dic3—61no—
464C2×Dic3—61no—
465C2×Dic3—182no—
466C2×Dic3—181no—
467C2×Dic3—181no—
468C2×Dic3—181no—
469C2×Dic3—361no—
470C2×Dic3—361no—
471C2×Dic3—362no—
472C2×Dic3#62611yescharacteristic
473D12—21no—
474D12—32no—
475D12—32no—
476D12—62no—
477D12—64no—
478D12—61no—
479D12—61no—
480D12—121no—
481D12#62612yes—
482C4×D3—21no—
483C4×D3—21no—
484Dic6—182no—
485Dic6—182no—
486Dic6—181no—
487Dic6—181no—
488Dic6—181no—
489Dic6—181no—
490Dic6—181no—
491Dic6—181no—
492Dic6—361no—
493Dic6—361no—
494Dic6—361no—
495Dic6—361no—
496Dic6—362no—
497Dic6—362no—
498C3×C8—62no—
499C3×C8—61no—
500C3×C8—61no—
501C3×C8—181no—
502C3⋊C8—21no—
503C3⋊C8—62no—
504C3⋊C8—61no—
505C3⋊C8—61no—
506C2×C32—21no—
507C2×C32—21no—
508C2×C32—21no—
509C2×C32—21no—
510C2×C32—21no—
511C2×C32—21no—
512C2×C32—21no—
513C2×C32—21no—
514C2×C32—21no—
515C2×C32—41no—
516C2×C32—41no—
517C2×C32—41no—
518C2×C32—62no—
519C2×C32—122no—
520C2×C32#88211yescharacteristic
521C2×C32#88211yescharacteristic
522C2×C32C2×#20411yescharacteristic
523C2×C32#90811yescharacteristic
524C2×C32#91111yescharacteristic
525C2×C32D3×SD1611yescharacteristic
526C2×C32#93211yescharacteristic
527C2×C32C2×#21411yescharacteristic
528C2×C32#95311yescharacteristic
529C3⋊D3—42no—
530C3×D3—22no—
531C3×D3—22no—
532C3×D3—42no—
533C3×D3—42no—
534C3×D3—42no—
535C3×D3—82no—
536C3×D3—122no—
537C3×D3—122no—
538C3×D3—242no—
539C24—181no—
540C2×Q8—271no—
541C2×D4—31no—
542C2×D4—91no—
543C2×D4—181no—
544C2×D4—182no—
545C2×D4—182no—
546C22×C4—31no—
547SD16—542no—
548SD16—542no—
549C2×C8—31no—
550C2×C8—91no—
551C4⋊C4—91no—
552C4⋊C4—541no—
553C22⋊C4—541no—
554C22×C3—21no—
555C22×C3—21no—
556C22×C3—21no—
557C22×C3—32no—
558C22×C3—32no—
559C22×C3—41no—
560C22×C3—62no—
561C22×C3—61no—
562C22×C3—61no—
563C22×C3—61no—
564C22×C3—61no—
565C22×C3—62no—
566C22×C3—62no—
567C22×C3—121no—
568C22×C3—121no—
569C22×C3—122no—
570C22×C3—121no—
571C22×C3—121no—
572C22×C3—121no—
573C22×C3—121no—
574C22×C3—182no—
575C22×C3—241no—
576C22×C3—241no—
577C22×C3—368no—
578C22×C3—361no—
579C22×C3—361no—
580C22×C3D3×D1211yescharacteristic
581C22×C3C2×#62611yescharacteristic
582C22×C3D3×#6711yescharacteristic
583C2×D3—21no—
584C2×D3—21no—
585C2×D3—22no—
586C2×D3—41no—
587C2×D3—41no—
588C2×D3—62no—
589C2×D3—62no—
590C2×D3—122no—
591C2×D3—128no—
592C2×D3—128no—
593C2×D3—121no—
594C2×D3—121no—
595C2×D3—121no—
596C2×D3—121no—
597C2×D3—241no—
598C2×D3—241no—
599C2×D3#371612yescomplemented
600C3×C4—21no—
601C3×C4—21no—
602C3×C4—21no—
603C3×C4—21no—
604C3×C4—21no—
605C3×C4—21no—
606C3×C4—41no—
607C3×C4—41no—
608C3×C4—61no—
609C3×C4—61no—
610C3×C4—121no—
611C3×C4—361no—
612C3×C4D3×D1211yescharacteristic
613C3×C4C2×#62611yescharacteristic
614C3×C4D3×#6711yescharacteristic
615C3×C4D3×#6711yescharacteristic
616C3×C4D3×#6711yescharacteristic
617C3×C4#381111yescharacteristic
618Dic3—21no—
619Dic3—122no—
620Dic3—121no—
621Dic3—121no—
622Dic3—362no—
623Dic3—362no—
624Dic3—362no—
625Dic3—364no—
626Dic3—361no—
627Dic3—361no—
628Dic3—361no—
629C32—21no—
630C32—21no—
631C32—21no—
632C32—41no—
633C32#473111yescharacteristic, complemented
634C32#477611yescharacteristic, complemented
635C32#521811yescharacteristic, complemented
636C23—31no—
637C23—61no—
638C23—184no—
639C23—181no—
640C23—362no—
641C23—362no—
642Q8—541no—
643Q8—541no—
644D4—32no—
645D4—61no—
646D4—92no—
647D4—184no—
648D4—181no—
649C2×C4—31no—
650C2×C4—61no—
651C2×C4—61no—
652C2×C4—181no—
653C2×C4—541no—
654C2×C4D3311yescharacteristic
655C8—61no—
656C8—181no—
657C2×C3—21no—
658C2×C3—21no—
659C2×C3—21no—
660C2×C3—21no—
661C2×C3—21no—
662C2×C3—21no—
663C2×C3—21no—
664C2×C3—21no—
665C2×C3—21no—
666C2×C3—41no—
667C2×C3—41no—
668C2×C3—41no—
669C2×C3—62no—
670C2×C3—62no—
671C2×C3—122no—
672C2×C3—122no—
673C2×C3—122no—
674C2×C3—242no—
675C2×C3—362no—
676C2×C3D3×#20411yescharacteristic
677C2×C3#6379511yescharacteristic
678C2×C3C2×#371611yescharacteristic
679C2×C3#6383011yescharacteristic
680C2×C3#6392311yescharacteristic
681C2×C3D3×#21411yescharacteristic
682C2×C3#6393211yescharacteristic
683C2×C3#6397711yescharacteristic
684C2×C3#6397711yescharacteristic
685D3—22no—
686D3—42no—
687D3—122no—
688D3—122no—
689D3—242no—
690C22—32no—
691C22—61no—
692C22—61no—
693C22—62no—
694C22—121no—
695C22—121no—
696C22—182no—
697C22—368no—
698C22—361no—
699C22—361no—
700C22D3×#62611yescharacteristic
701C4—61no—
702C4—361no—
703C4—1081no—
704C4D3×#62611yescharacteristic
705C4#8895211yescharacteristic
706C3—21no—
707C3—21no—
708C3—21no—
709C3—41no—
710C3#1059094611yescharacteristic, complemented
711C3#1059117211yescharacteristic, complemented
712C3#1059145911yescharacteristic, complemented
713C2—62no—
714C2—122no—
715C2—362no—
716C2D3×#371611yescharacteristic
717C2#1172286911yescharacteristic
718C2#1172294811yescharacteristic
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. #11723426C2semidirect
3. C2×#88796C2semidirect
4. C2×#88794C2semidirect
5. #11722075C2semidirect
6. C3×#63563C2semidirect
7. C3×(C2×D3)⋊(C3⋊C8)C2semidirect
12. C2×#6308C22semidirect
19. C3×C4⋊(C3⋊Dic3)C22semidirect
20. C2×C3×C3⋊(C3⋊C8)C22semidirect
21. C2×C32×C3⋊C8C22semidirect
47. #63563D3semidirect
49. (C2×D3)⋊(C3⋊C8)D3semidirect
108. C4⋊(C3⋊Dic3)C2×D3semidirect
110. C2×C3⋊(C3⋊C8)C2×D3semidirect
119. C2×C3×C3⋊C8C2×D3semidirect
120. C2×C3×C3⋊C8C2×D3semidirect
142. C2×C32×D3SD16semidirect
326. C2×C3⋊C8D32semidirect
374. C2×C3×D3#204semidirect
375. C2×C3×D3#214semidirect
413. C33#450semidirect
599. C2×D3#3716semidirect
633. C32#4731semidirect
634. C32#4776semidirect
635. C32#5218semidirect
710. C3#10590946semidirect
711. C3#10591172semidirect
712. 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
#117234262
C2×#887962
C2×#887942
#117220752
C3×#635632
C3×(C2×D3)⋊(C3⋊C8)2
#105914593
#105911723
#105909463