Finite Group Databasebeta

← C3×D3×#953 #13175120

Subgroups — C3×D3×#953 #13175120

Order 1728.

3790 conjugacy classes of subgroups.

The subgroup lattice has 648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C24×C32×D3C211yesmaximal, characteristic, complemented
2C2×C3×D3×#67C213yesmaximal, complemented
3C3×#64162C211yesmaximal, characteristic, complemented
4C32×#953C211yesmaximal, characteristic, complemented
5C3×#63977C213yesmaximal, complemented
6C3×#63976C213yesmaximal, complemented
7C3×D3×#217C213yesmaximal, complemented
8C2×C3×#953—31nomaximal
9C3×D3×#120—31nomaximal
10D3×#953C311yesmaximal, characteristic, direct product factor
11C24×C33C2211yescharacteristic, complemented
12C23×C32×D3—212no—
13C23×C32×D3C2213yes—
14C23×C32×D3C2213yescomplemented
15C22×C3×D32C2211yescharacteristic, complemented
16C2×C3×#638C2213yescomplemented
17C2×C32×#67C2213yescomplemented
18C3×D3×#67—212no—
19C2×C3×#626C2213yescomplemented
20C2×C3×#625C2213yescomplemented
21C2×C3×D3×Dic3C2213yescomplemented
22C3×#3757C2213yescomplemented
23C32×#217C2213yescomplemented
24C3×(C2×D3)⋊Dic3C2216yescomplemented
25C25×C32—31no—
26C24×C3×D3—21no—
27C24×C3×D3D311yescharacteristic, complemented
28C24×C3×D3C2×C311yescharacteristic, complemented
29C22×C3×#67—33no—
30C2×C3×D3×D4—33no—
31C2×D3×#67C2×C313yescomplemented
32C32×#120—31no—
33#64162C2×C311yescharacteristic, complemented
34C3×#953—21no—
35C3×#953—33no—
36C3×#953—33no—
37C3×#953—31no—
38C3×#953—31no—
39C3×#953—61no—
40C3×#953D311yescharacteristic, direct product factor
41C3×#953C2×C311yescharacteristic, complemented
42C2×C3×#217—33no—
43C3×#937—33no—
44C3×#882—33no—
45C3×D3×C22⋊C4—33no—
46#63977C2×C313yescomplemented
47#63976C2×C313yescomplemented
48D3×#217C2×C313yescomplemented
49C23×C33—26no—
50C23×C33C2313yes—
51C22×C3×C3⋊D3C2311yescharacteristic, complemented
52C22×C32×D3—232no—
53C22×C32×D3—26no—
54C22×C32×D3—212no—
55C22×C32×D3—212no—
56C22×C32×D3D4112yescomplemented
57C22×C32×D3C2313yes—
58C22×C32×D3C2311yescharacteristic
59C22×C32×D3C2311yescharacteristic, complemented
60C2×C3×D32—26no—
61C3×#638—26no—
62C2×C3×C3⋊Dic3C2313yescomplemented
63C32×#67—26no—
64C2×C32×Dic3C2313yescomplemented
65C3×#626—26no—
66C3×#625—26no—
67C3×D3×Dic3—26no—
68C2×C3×#120—91no—
69C2×#953—31no—
70D3×#120—31no—
71C24×C32—21no—
72C24×C32—21no—
73C24×C32—21no—
74C24×C32—33no—
75C24×C32—33no—
76C24×C32—41no—
77C24×C32—612no—
78C24×C32C2×D311yescharacteristic, complemented
79C24×C32C2×D311yescharacteristic, complemented
80C24×C32C22×C311yescharacteristic, complemented
81C23×C3×D3—224no—
82C23×C3×D3—23no—
83C23×C3×D3—23no—
84C23×C3×D3—212no—
85C23×C3×D3—212no—
86C23×C3×D3—31no—
87C23×C3×D3—31no—
88C23×C3×D3C2×D313yes—
89C23×C3×D3C2×D313yescomplemented
90C23×C3×D3C22×C313yes—
91C23×C3×D3C22×C313yescomplemented
92C22×D32C22×C311yescharacteristic, complemented
93C2×C32×D4—33no—
94C2×#638C22×C313yescomplemented
95C2×C3×#67—23no—
96C2×C3×#67—33no—
97C2×C3×#67—33no—
98C2×C3×#67—33no—
99C2×C3×#67—33no—
100C2×C3×#67—33no—
101C2×C3×#67—612no—
102C2×C3×#67—63no—
103C2×C3×#67C2×D313yescomplemented
104C2×C3×#67C22×C313yescomplemented
105C22×C3×Dic3—33no—
106C3×D3×D4—612no—
107C2×C3×D12—33no—
108C2×C3×C4×D3—33no—
109D3×#67—212no—
110C2×#626C22×C313yescomplemented
111C2×#625C22×C313yescomplemented
112C2×D3×Dic3C22×C313yescomplemented
113C32×C22⋊C4—33no—
114#3757C22×C313yescomplemented
115C3×#217—23no—
116C3×#217—33no—
117C3×#217—33no—
118C3×#217—36no—
119C3×#217—63no—
120C3×#217C2×D313yescomplemented
121C3×#217C22×C313yescomplemented
122C3×(C2×D3)⋊C4—36no—
123(C2×D3)⋊Dic3C22×C316yescomplemented
124C22×C33—28no—
125C22×C33—26no—
126C22×C33C2×D416yescomplemented
127C22×C33C2411yescharacteristic
128C2×C3×C3⋊D3—23no—
129C2×C32×D3—224no—
130C2×C32×D3—26no—
131C2×C32×D3—224no—
132C2×C32×D3—23no—
133C2×C32×D3C2×D416yes—
134C2×C32×D3C2×D416yescomplemented
135C3×D32—44no—
136C3×C3⋊Dic3—23no—
137C32×Dic3—23no—
138C25×C3—31no—
139C25×C3—31no—
140C25×C3—61no—
141C24×D3C3×D311yescharacteristic, complemented
142C22×C3×D4—93no—
143C22×#67—33no—
144C2×D3×D4—33no—
145C3×#120—31no—
146C3×#120—31no—
147C3×#120—61no—
148C3×#120—93no—
149C3×#120—93no—
150C3×#120—91no—
151C2×C3×C22⋊C4—93no—
152#953—31no—
153#953—31no—
154#953—33no—
155#953—33no—
156#953—61no—
157#953C3×D311yescharacteristic, direct product factor
158C2×#217—33no—
159#937—33no—
160#882—33no—
161D3×C22⋊C4—33no—
162C23×C32—26no—
163C23×C32—212no—
164C23×C32—26no—
165C23×C32—26no—
166C23×C32—23no—
167C23×C32—23no—
168C23×C32—23no—
169C23×C32—31no—
170C23×C32—312no—
171C23×C32—33no—
172C23×C32—31no—
173C23×C32—43no—
174C23×C32—46no—
175C23×C32—46no—
176C23×C32—412no—
177C23×C32—612no—
178C23×C32—612no—
179C23×C32—632no—
180C23×C32—66no—
181C23×C32C22×D313yes—
182C23×C32C22×D313yes—
183C23×C32C23×C313yes—
184C22×C3⋊D3C23×C311yescharacteristic, complemented
185C22×C3×D3—264no—
186C22×C3×D3—232no—
187C22×C3×D3—232no—
188C22×C3×D3—212no—
189C22×C3×D3—224no—
190C22×C3×D3—224no—
191C22×C3×D3—26no—
192C22×C3×D3—26no—
193C22×C3×D3—212no—
194C22×C3×D3—212no—
195C22×C3×D3—212no—
196C22×C3×D3—212no—
197C22×C3×D3—212no—
198C22×C3×D3—23no—
199C22×C3×D3—21no—
200C22×C3×D3—21no—
201C22×C3×D3—31no—
202C22×C3×D3—31no—
203C22×C3×D3—61no—
204C22×C3×D3—66no—
205C22×C3×D3—66no—
206C22×C3×D3#67112yescomplemented
207C22×C3×D3C3×D4112yescomplemented
208C22×C3×D3C22×D313yes—
209C22×C3×D3C22×D311yescharacteristic
210C22×C3×D3C22×D311yescharacteristic, complemented
211C22×C3×D3C23×C313yes—
212C22×C3×D3C23×C311yescharacteristic
213C22×C3×D3C23×C311yescharacteristic, complemented
214C2×D32—26no—
215C32×D4—66no—
216C2×C32×C4—33no—
217#638—26no—
218C2×C3⋊Dic3C23×C313yescomplemented
219C3×#67—26no—
220C3×#67—26no—
221C3×#67—46no—
222C3×#67—66no—
223C3×#67—66no—
224C3×#67—66no—
225C3×#67—66no—
226C3×#67—66no—
227C3×#67—126no—
228C2×C3×Dic3—23no—
229C2×C3×Dic3—33no—
230C2×C3×Dic3—33no—
231C2×C3×Dic3—63no—
232C2×C3×Dic3—66no—
233C2×C3×Dic3C22×D313yescomplemented
234C2×C3×Dic3C23×C313yescomplemented
235C3×D12—66no—
236C3×C4×D3—66no—
237#626—26no—
238#625—26no—
239D3×Dic3—26no—
240C2×#120—91noSylow
241C2×C33—26no—
242C2×C33C22×D413yes—
243C3×C3⋊D3—41no—
244C32×D3—26no—
245C32×D3—41no—
246C32×D3#12014yescomplemented
247C24×C3—21no—
248C24×C3—21no—
249C24×C3—21no—
250C24×C3—33no—
251C24×C3—33no—
252C24×C3—33no—
253C24×C3—33no—
254C24×C3—41no—
255C24×C3—63no—
256C24×C3—63no—
257C24×C3—612no—
258C24×C3—612no—
259C24×C3—624no—
260C24×C3—91no—
261C24×C3D3211yescharacteristic, complemented
262C24×C3C2×C3×D311yescharacteristic, complemented
263C24×C3C2×C3×D311yescharacteristic, complemented
264C23×D3—212no—
265C23×D3—31no—
266C23×D3—31no—
267C23×D3C2×C3×D313yes—
268C23×D3C2×C3×D313yescomplemented
269C2×C3×D4—33no—
270C2×C3×D4—33no—
271C2×C3×D4—63no—
272C2×C3×D4—93no—
273C2×C3×D4—93no—
274C2×C3×D4—93no—
275C2×C3×D4—1812no—
276C22×C3×C4—93no—
277C2×#67—33no—
278C2×#67—33no—
279C2×#67—33no—
280C2×#67—33no—
281C2×#67—33no—
282C2×#67—63no—
283C2×#67—612no—
284C2×#67C2×C3×D313yescomplemented
285C22×Dic3—33no—
286D3×D4—612no—
287C2×D12—33no—
288C2×C4×D3—33no—
289C3×C22⋊C4—33no—
290C3×C22⋊C4—33no—
291C3×C22⋊C4—63no—
292C3×C22⋊C4—96no—
293C3×C22⋊C4—93no—
294#217—33no—
295#217—33no—
296#217—36no—
297#217—63no—
298#217C2×C3×D313yescomplemented
299(C2×D3)⋊C4—36no—
300C22×C32—28no—
301C22×C32—26no—
302C22×C32—216no—
303C22×C32—28no—
304C22×C32—28no—
305C22×C32—212no—
306C22×C32—26no—
307C22×C32—26no—
308C22×C32—21no—
309C22×C32—21no—
310C22×C32—21no—
311C22×C32—26no—
312C22×C32—26no—
313C22×C32—26no—
314C22×C32—36no—
315C22×C32—36no—
316C22×C32—46no—
317C22×C32—41no—
318C22×C32—46no—
319C22×C32—46no—
320C22×C32—412no—
321C22×C32—48no—
322C22×C32—48no—
323C22×C32—416no—
324C22×C32—624no—
325C22×C32—624no—
326C22×C32—66no—
327C22×C32—63no—
328C22×C32D3×D416yescomplemented
329C22×C32C2×#6716yescomplemented
330C22×C32C2×C3×D416yescomplemented
331C22×C32C23×D311yescharacteristic
332C22×C32C23×D311yescharacteristic
333C22×C32C24×C311yescharacteristic
334C2×C3⋊D3—23no—
335C2×C3×D3—248no—
336C2×C3×D3—224no—
337C2×C3×D3—224no—
338C2×C3×D3—212no—
339C2×C3×D3—248no—
340C2×C3×D3—26no—
341C2×C3×D3—26no—
342C2×C3×D3—224no—
343C2×C3×D3—224no—
344C2×C3×D3—23no—
345C2×C3×D3—23no—
346C2×C3×D3—26no—
347C2×C3×D3—26no—
348C2×C3×D3—43no—
349C2×C3×D3—63no—
350C2×C3×D3—63no—
351C2×C3×D3—123no—
352C2×C3×D3—124no—
353C2×C3×D3—124no—
354C2×C3×D3C2×#6716yes—
355C2×C3×D3C2×#6716yescomplemented
356C2×C3×D3C2×C3×D416yes—
357C2×C3×D3C2×C3×D416yescomplemented
358D32—44no—
359C32×C4—63no—
360C3⋊Dic3—23no—
361C3×Dic3—23no—
362C3×Dic3—23no—
363C3×Dic3—43no—
364C3×Dic3—63no—
365C3×Dic3—63no—
366C3×Dic3—123no—
367C25—31no—
368C22×D4—93no—
369#120—31no—
370#120—93no—
371#120—93no—
372#120—91no—
373C2×C22⋊C4—93no—
374C33C2×#12011yescharacteristic, complemented, Sylow
375C23×C3—212no—
376C23×C3—26no—
377C23×C3—26no—
378C23×C3—26no—
379C23×C3—23no—
380C23×C3—23no—
381C23×C3—23no—
382C23×C3—31no—
383C23×C3—31no—
384C23×C3—33no—
385C23×C3—33no—
386C23×C3—312no—
387C23×C3—312no—
388C23×C3—31no—
389C23×C3—31no—
390C23×C3—46no—
391C23×C3—46no—
392C23×C3—412no—
393C23×C3—43no—
394C23×C3—61no—
395C23×C3—63no—
396C23×C3—612no—
397C23×C3—61no—
398C23×C3—612no—
399C23×C3—612no—
400C23×C3—612no—
401C23×C3—612no—
402C23×C3—624no—
403C23×C3—624no—
404C23×C3—632no—
405C23×C3—632no—
406C23×C3—664no—
407C23×C3—612no—
408C23×C3—66no—
409C23×C3—66no—
410C23×C3—91no—
411C23×C3—186no—
412C23×C3C2×D3213yes—
413C23×C3C22×C3×D313yes—
414C23×C3C22×C3×D313yes—
415C22×D3—232no—
416C22×D3—26no—
417C22×D3—212no—
418C22×D3—212no—
419C22×D3—31no—
420C22×D3—31no—
421C22×D3—61no—
422C22×D3—66no—
423C22×D3—66no—
424C22×D3C3×#67112yescomplemented
425C22×D3C22×C3×D313yes—
426C22×D3C22×C3×D311yescharacteristic
427C22×D3C22×C3×D311yescharacteristic, complemented
428C3×D4—66no—
429C3×D4—66no—
430C3×D4—126no—
431C3×D4—186no—
432C3×D4—186no—
433C3×D4—186no—
434C2×C3×C4—33no—
435C2×C3×C4—33no—
436C2×C3×C4—63no—
437C2×C3×C4—93no—
438C2×C3×C4—186no—
439#67—26no—
440#67—66no—
441#67—66no—
442#67—66no—
443#67—66no—
444#67—66no—
445#67—126no—
446C2×Dic3—33no—
447C2×Dic3—33no—
448C2×Dic3—63no—
449C2×Dic3—66no—
450C2×Dic3C22×C3×D313yescomplemented
451D12—66no—
452C4×D3—66no—
453C2×C32—26no—
454C2×C32—212no—
455C2×C32—26no—
456C2×C32—26no—
457C2×C32—23no—
458C2×C32—23no—
459C2×C32—23no—
460C2×C32—34no—
461C2×C32—43no—
462C2×C32—46no—
463C2×C32—46no—
464C2×C32—412no—
465C2×C32—66no—
466C2×C32—121no—
467C2×C32C2×D3×D413yes—
468C2×C32C22×#6713yes—
469C2×C32C22×C3×D413yes—
470C3⋊D3—41no—
471C3×D3—212no—
472C3×D3—26no—
473C3×D3—26no—
474C3×D3—24no—
475C3×D3—41no—
476C3×D3—41no—
477C3×D3—81no—
478C3×D3—121no—
479C3×D3—121no—
480C3×D3—241no—
481C3×D3#95314yesdirect product factor
482C3×D3C3×#12014yescomplemented
483C24—33no—
484C24—33no—
485C24—612no—
486C24—91no—
487C24C3×D3211yescharacteristic, complemented
488C2×D4—33no—
489C2×D4—93no—
490C2×D4—93no—
491C2×D4—93no—
492C2×D4—1812no—
493C22×C4—93no—
494C22⋊C4—33no—
495C22⋊C4—96no—
496C22⋊C4—93no—
497C22×C3—28no—
498C22×C3—216no—
499C22×C3—28no—
500C22×C3—28no—
501C22×C3—212no—
502C22×C3—26no—
503C22×C3—26no—
504C22×C3—26no—
505C22×C3—21no—
506C22×C3—21no—
507C22×C3—21no—
508C22×C3—26no—
509C22×C3—26no—
510C22×C3—26no—
511C22×C3—36no—
512C22×C3—36no—
513C22×C3—36no—
514C22×C3—36no—
515C22×C3—46no—
516C22×C3—46no—
517C22×C3—48no—
518C22×C3—48no—
519C22×C3—416no—
520C22×C3—412no—
521C22×C3—41no—
522C22×C3—46no—
523C22×C3—66no—
524C22×C3—66no—
525C22×C3—624no—
526C22×C3—624no—
527C22×C3—648no—
528C22×C3—648no—
529C22×C3—624no—
530C22×C3—624no—
531C22×C3—612no—
532C22×C3—66no—
533C22×C3—66no—
534C22×C3—63no—
535C22×C3—63no—
536C22×C3—123no—
537C22×C3—183no—
538C22×C3—364no—
539C22×C3D3×#6716yescomplemented
540C22×C3C3×D3×D416yescomplemented
541C22×C3C2×C3×#6716yescomplemented
542C22×C3C22×D3211yescharacteristic
543C22×C3C23×C3×D311yescharacteristic
544C22×C3C23×C3×D311yescharacteristic
545C2×D3—224no—
546C2×D3—26no—
547C2×D3—224no—
548C2×D3—23no—
549C2×D3—63no—
550C2×D3—63no—
551C2×D3—123no—
552C2×D3—124no—
553C2×D3—124no—
554C2×D3C2×C3×#6716yes—
555C2×D3C2×C3×#6716yescomplemented
556C3×C4—63no—
557C3×C4—63no—
558C3×C4—123no—
559C3×C4—183no—
560Dic3—23no—
561Dic3—63no—
562Dic3—63no—
563Dic3—123no—
564C32—21no—
565C32—21no—
566C32—21no—
567C32—41no—
568C32D3×#12011yescharacteristic, complemented
569C32C2×#95311yescharacteristic, complemented
570C32C2×C3×#12011yescharacteristic, complemented
571C23—26no—
572C23—31no—
573C23—33no—
574C23—312no—
575C23—31no—
576C23—612no—
577C23—612no—
578C23—632no—
579C23—66no—
580C23—91no—
581C23—186no—
582C23C2×C3×D3213yes—
583D4—66no—
584D4—186no—
585D4—186no—
586D4—186no—
587C2×C4—33no—
588C2×C4—93no—
589C2×C4—186no—
590C2×C3—212no—
591C2×C3—26no—
592C2×C3—26no—
593C2×C3—26no—
594C2×C3—23no—
595C2×C3—23no—
596C2×C3—23no—
597C2×C3—34no—
598C2×C3—34no—
599C2×C3—46no—
600C2×C3—46no—
601C2×C3—412no—
602C2×C3—43no—
603C2×C3—64no—
604C2×C3—612no—
605C2×C3—66no—
606C2×C3—66no—
607C2×C3—121no—
608C2×C3—121no—
609C2×C3—241no—
610C2×C3—361no—
611C2×C3C2×D3×#6713yes—
612C2×C3C2×C3×D3×D413yes—
613C2×C3C22×C3×#6713yes—
614D3—26no—
615D3—41no—
616D3—121no—
617D3—121no—
618D3—241no—
619D3C3×#95314yesdirect product factor
620C22—28no—
621C22—26no—
622C22—36no—
623C22—36no—
624C22—624no—
625C22—624no—
626C22—66no—
627C22—63no—
628C22—183no—
629C22—364no—
630C22C3×D3×#6716yescomplemented
631C22C22×C3×D3211yescharacteristic
632C4—63no—
633C4—183no—
634C3—21no—
635C3—21no—
636C3—21no—
637C3—41no—
638C3D3×#95311yescharacteristic, direct product factor
639C3C3×D3×#12011yescharacteristic, complemented
640C3C2×C3×#95311yescharacteristic, complemented
641C2—26no—
642C2—34no—
643C2—66no—
644C2—121no—
645C2—361no—
646C2C2×C3×D3×#6713yes—
subgroupG/H
centerC22×C3C22×D32
commutator, cosocleC22×C32C24×C3
FrattiniC22C22×C3×D32
FittingC24×C33C22
socleC22×C33C24
hypercenterC24×C3D32
hypocenterC32C2×C3×#120
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22×C3 ◁ C24×C3

Complements

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

NH ≅ G/Ntype
1. C24×C32×D3C2semidirect
2. C2×C3×D3×#67C2semidirect
3. C3×#64162C2semidirect
4. C32×#953C2semidirect
5. C3×#63977C2semidirect
6. C3×#63976C2semidirect
7. C3×D3×#217C2semidirect
10. D3×#953C3direct (N × H)
11. C24×C33C22semidirect
14. C23×C32×D3C22semidirect
15. C22×C3×D32C22semidirect
16. C2×C3×#638C22semidirect
17. C2×C32×#67C22semidirect
19. C2×C3×#626C22semidirect
20. C2×C3×#625C22semidirect
21. C2×C3×D3×Dic3C22semidirect
22. C3×#3757C22semidirect
23. C32×#217C22semidirect
24. C3×(C2×D3)⋊Dic3C22semidirect
27. C24×C3×D3D3semidirect
28. C24×C3×D3C2×C3semidirect
31. C2×D3×#67C2×C3semidirect
33. #64162C2×C3semidirect
40. C3×#953D3direct (N × H)
41. C3×#953C2×C3semidirect
46. #63977C2×C3semidirect
47. #63976C2×C3semidirect
48. D3×#217C2×C3semidirect
51. C22×C3×C3⋊D3C23semidirect
56. C22×C32×D3D4semidirect
59. C22×C32×D3C23semidirect
62. C2×C3×C3⋊Dic3C23semidirect
64. C2×C32×Dic3C23semidirect
78. C24×C32C2×D3semidirect
79. C24×C32C2×D3semidirect
80. C24×C32C22×C3semidirect
89. C23×C3×D3C2×D3semidirect
91. C23×C3×D3C22×C3semidirect
92. C22×D32C22×C3semidirect
94. C2×#638C22×C3semidirect
103. C2×C3×#67C2×D3semidirect
104. C2×C3×#67C22×C3semidirect
110. C2×#626C22×C3semidirect
111. C2×#625C22×C3semidirect
112. C2×D3×Dic3C22×C3semidirect
114. #3757C22×C3semidirect
120. C3×#217C2×D3semidirect
121. C3×#217C22×C3semidirect
123. (C2×D3)⋊Dic3C22×C3semidirect
126. C22×C33C2×D4semidirect
134. C2×C32×D3C2×D4semidirect
141. C24×D3C3×D3semidirect
157. #953C3×D3direct (N × H)
184. C22×C3⋊D3C23×C3semidirect
206. C22×C3×D3#67semidirect
207. C22×C3×D3C3×D4semidirect
210. C22×C3×D3C22×D3semidirect
213. C22×C3×D3C23×C3semidirect
218. C2×C3⋊Dic3C23×C3semidirect
233. C2×C3×Dic3C22×D3semidirect
234. C2×C3×Dic3C23×C3semidirect
246. C32×D3#120semidirect
261. C24×C3D32semidirect
262. C24×C3C2×C3×D3semidirect
263. C24×C3C2×C3×D3semidirect
268. C23×D3C2×C3×D3semidirect
284. C2×#67C2×C3×D3semidirect
298. #217C2×C3×D3semidirect
328. C22×C32D3×D4semidirect
329. C22×C32C2×#67semidirect
330. C22×C32C2×C3×D4semidirect
355. C2×C3×D3C2×#67semidirect
357. C2×C3×D3C2×C3×D4semidirect
374. C33C2×#120semidirect
424. C22×D3C3×#67semidirect
427. C22×D3C22×C3×D3semidirect
450. C2×Dic3C22×C3×D3semidirect
481. C3×D3#953direct (N × H)
482. C3×D3C3×#120semidirect
487. C24C3×D32semidirect
539. C22×C3D3×#67semidirect
540. C22×C3C3×D3×D4semidirect
541. C22×C3C2×C3×#67semidirect
555. C2×D3C2×C3×#67semidirect
568. C32D3×#120semidirect
569. C32C2×#953semidirect
570. C32C2×C3×#120semidirect
619. D3C3×#953direct (N × H)
630. C22C3×D3×#67semidirect
638. C3D3×#953direct (N × H)
639. C3C3×D3×#120semidirect
640. C3C2×C3×#953semidirect

Maximal subgroups

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

subgroupindex
C24×C32×D32
C2×C3×D3×#672
C3×#641622
C32×#9532
C3×#639772
C3×#639762
C3×D3×#2172
C2×C3×#9533
C3×D3×#1203
D3×#9533