Finite Group Databasebeta

← D12×#611 #13150543

Subgroups — D12×#611 #13150543

Order 1728.

1378 conjugacy classes of subgroups.

The subgroup lattice has 666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C9×D12C211yesmaximal, characteristic, complemented
2C2×D3×#611C212yesmaximal, complemented
3C2×D9×D12C211yesmaximal, characteristic, complemented
4#11721819C211yesmaximal, characteristic, complemented
5C3×C4×#611C211yesmaximal, characteristic, complemented
6#11721287C212yesmaximal, complemented
7#11721050C212yesmaximal, complemented
8#11721040C211yesmaximal, characteristic, complemented
9#11721036C211yesmaximal, characteristic, complemented
10D12×Dic9C211yesmaximal, characteristic, complemented
11#11721017C212yesmaximal, complemented
12D12×#67—31nomaximal
13D4×#611—31nomaximal
14C23×D3×C9C2212yescomplemented
15C22×D3×D9C2212yescomplemented
16C22×C3×C4×C9C2211yescharacteristic, complemented
17C2×#6233C2212yescomplemented
18C2×C4⋊(C3⋊D9)C2211yescharacteristic, complemented
19C2×C3×#611C2211yescharacteristic
20C2×C9×D12—24no—
21C2×C9×D12C2211yescharacteristic
22C2×C9×D12C2212yescomplemented
23C2×C9×D12C2211yescharacteristic, complemented
24C2×C3×C4×D9C2211yescharacteristic, complemented
25D3×#611—28no—
26C2×#6195C2212yescomplemented
27C2×#6195C2212yescomplemented
28C2×#6195C2212yescomplemented
29C2×#6194C2212yescomplemented
30C2×D3×Dic9C2212yescomplemented
31D9×D12—24no—
32#88536C2212yescomplemented
33C4⋊(C3⋊Dic9)C2211yescharacteristic, complemented
34C3×#3676C2211yescharacteristic, complemented
35C3×(C2×D9)⋊C4C2211yescharacteristic, complemented
36C3×Dic9⋊C4C2211yescharacteristic, complemented
37C3×C4×Dic9C2211yescharacteristic, complemented
38(C2×D3)⋊Dic9C2212yescomplemented
39(C2×D3)⋊Dic9C2212yescomplemented
40C22×C3×D12D311yescharacteristic
41C2×D3×#67—32no—
42C2×D3×D12—31no—
43#64139—31no—
44C3×C4×#67—31no—
45#63977—32no—
46#63922—32no—
47#63911—31no—
48#63908—31no—
49Dic3×D12—31no—
50#63886—32no—
51C22×D4×C9—31no—
52C22×#611—32no—
53C2×D4×D9—31no—
54#63515—32no—
55#63502—31no—
56#63501—32no—
57#63500—31no—
58#63499—32no—
59D4×Dic9—31no—
60#63492—31no—
61#63492—61no—
62C4×#611D311yescharacteristic, complemented
63C23×C3×C9C2311yescharacteristic
64C22×C3⋊D9C2312yes—
65C22×D3×C9—24no—
66C22×D3×C9—24no—
67C22×D3×C9—42no—
68C22×D3×C9C2312yes—
69C22×D3×C9C2312yes—
70C22×C3×D9C2311yescharacteristic
71C2×D3×D9—24no—
72C2×D3×D9—24no—
73C2×D3×D9—42no—
74C2×C3×C4×C9—22no—
75C2×C3×C4×C9C2311yescharacteristic
76C2×C3×C4×C9C2311yescharacteristic
77#6233—24no—
78C2×C3⋊Dic9C2312yes—
79C4⋊(C3⋊D9)—22no—
80C3×#611D414yescomplemented
81C2×C3×Dic9C2311yescharacteristic
82C2×C3×Dic9C2311yescharacteristic
83C2×C3×Dic9C2311yescharacteristic
84C9×D12—24no—
85C9×D12—22no—
86C9×D12D414yescomplemented
87C3×C4×D9—22no—
88#6195—24no—
89#6195—24no—
90#6195—42no—
91#6194—24no—
92D3×Dic9—24no—
93D4×#67—91no—
94D4×D12—91no—
95C23×C3×D3C2×D312yes—
96C22×D32—32no—
97C22×C32×C4C2×D311yescharacteristic
98C2×#638—32no—
99C2×C4⋊(C3⋊D3)—31no—
100C2×C3×#67—31no—
101C2×C3×D12—24no—
102C2×C3×D12C2×D312yes—
103C2×C3×D12C2×D311yescharacteristic
104C2×C3×D12C2×D311yescharacteristic
105C2×C3×C4×D3—31no—
106D3×#67—68no—
107C2×#626—32no—
108C2×#626—32no—
109C2×#626—32no—
110C2×#625—32no—
111C2×D3×Dic3—32no—
112D3×D12—64no—
113C24×C9—32no—
114C23×D9—32no—
115#3752—32no—
116C4⋊(C3⋊Dic3)—31no—
117C3×#217—31no—
118C3×(C2×D3)⋊C4—31no—
119C3×Dic3⋊C4—31no—
120C3×C4×Dic3—31no—
121(C2×D3)⋊Dic3—32no—
122(C2×D3)⋊Dic3—32no—
123C2×D4×C9—31no—
124C2×D4×C9—32no—
125C2×D4×C9—31no—
126C2×D4×C9—64no—
127C22×C4×C9—21no—
128C22×C4×C9C2×D311yescharacteristic, complemented
129C2×#611—32no—
130C2×#611—32no—
131C2×#611—32no—
132C2×#611—32no—
133C2×#611—32no—
134C2×#611—68no—
135C2×#611—62no—
136C2×#611C2×D311yescharacteristic
137C22×Dic9—32no—
138D4×D9—64no—
139C2×D36—31no—
140C2×D36—61no—
141C2×C4×D9C2×D311yescharacteristic, complemented
142#3676—32no—
143#3676—32no—
144#3676C2×D311yescharacteristic, complemented
145(C2×D9)⋊C4—32no—
146(C2×D9)⋊C4—62no—
147(C2×D9)⋊C4C2×D311yescharacteristic, complemented
148C4⋊Dic9—31no—
149C4⋊Dic9—61no—
150Dic9⋊C4C2×D311yescharacteristic, complemented
151C4×Dic9C2×D311yescharacteristic, complemented
152C22×C3×C9—21no—
153C22×C3×C9—21no—
154C22×C3×C9C2×D412yescomplemented
155C22×C3×C9C2411yescharacteristic
156C2×C3⋊D9—22no—
157C2×C3⋊D9—22no—
158C2×C3⋊D9—22no—
159C2×D3×C9—22no—
160C2×D3×C9—22no—
161C2×D3×C9—22no—
162C2×D3×C9—22no—
163C2×D3×C9—22no—
164C2×D3×C9—48no—
165C2×D3×C9C2×D414yescomplemented
166C2×C3×D9—21no—
167C2×C3×D9—21no—
168C2×C3×D9C2×D412yescomplemented
169D3×D9—48no—
170C3×C4×C9—21no—
171C3×C4×C9C2×D412yescomplemented
172C3⋊Dic9—22no—
173C3×Dic9—21no—
174C3×Dic9—21no—
175C3×Dic9C2×D412yescomplemented
176C22×C3×D4—31no—
177C22×#67—92no—
178C2×D3×D4—91no—
179C2×D3×D4—92no—
180C22×D12—91no—
181C22×D12D911yescharacteristic, complemented
182C3×C4×D4—91no—
183#953—92no—
184#940—91no—
185#939—92no—
186#938—91no—
187#937—92no—
188D4×Dic3—91no—
189#930—91no—
190#930—91no—
191#930—91no—
192#930—181no—
193C4×#67—31no—
194#895—92no—
195#882—92no—
196#882—92no—
197#874—91no—
198C4×D12—91no—
199C23×C32C22×D311yescharacteristic
200C22×C3⋊D3—32no—
201C22×C3×D3—24no—
202C22×C3×D3—24no—
203C22×C3×D3—31no—
204C22×C3×D3—42no—
205C22×C3×D3C22×D312yes—
206C22×C3×D3C22×D312yes—
207C2×D32—64no—
208C2×D32—64no—
209C2×D32—122no—
210C2×C32×C4—22no—
211C2×C32×C4C22×D311yescharacteristic
212C2×C32×C4C22×D311yescharacteristic
213#638—64no—
214C2×C3⋊Dic3—32no—
215C4⋊(C3⋊D3)—62no—
216C3×#67—34no—
217C2×C3×Dic3—31no—
218C2×C3×Dic3—31no—
219C2×C3×Dic3—31no—
220C3×D12—24no—
221C3×D12—22no—
222C3×D12#6714yes—
223C3×C4×D3—62no—
224#626—64no—
225#626—64no—
226#626—122no—
227#625—64no—
228D3×Dic3—64no—
229C23×C9—21no—
230C23×C9—32no—
231C23×C9—32no—
232C23×C9—64no—
233C23×C9—64no—
234C23×C9—122no—
235C23×C9C22×D311yescharacteristic
236C22×D9—32no—
237C22×D9—62no—
238C22×D9—64no—
239C22×D9—64no—
240C22×D9—122no—
241C22×D9C22×D311yescharacteristic
242D4×C9—34no—
243D4×C9—64no—
244D4×C9—62no—
245C2×C4×C9—22no—
246C2×C4×C9—21no—
247C2×C4×C9—21no—
248C2×C4×C9—42no—
249C2×C4×C9C22×D311yescharacteristic
250C2×C4×C9C22×D311yescharacteristic
251#611—64no—
252#611—64no—
253#611—64no—
254#611—64no—
255#611—124no—
256#611—122no—
257#611D1214yesdirect product factor
258C2×Dic9—32no—
259C2×Dic9—62no—
260C2×Dic9—64no—
261C2×Dic9C22×D311yescharacteristic
262C2×Dic9C22×D311yescharacteristic
263C2×Dic9C22×D311yescharacteristic
264D36—62no—
265D36—122no—
266C4×D9—22no—
267D42—271noSylow
268C2×C3×C9—22no—
269C2×C3×C9C22×D411yescharacteristic
270C2×C3×C9C22×D411yescharacteristic
271C2×C3×C9H(5,𝔽2)11yescharacteristic
272C3⋊D9—42no—
273D3×C9—24no—
274D3×C9—42no—
275C3×D9—22no—
276C24×C3—32no—
277C23×D3—92no—
278C23×D3—92no—
279C23×D3C2×D912yescomplemented
280C2×C3×D4—31no—
281C2×C3×D4—32no—
282C2×C3×D4—31no—
283C2×C3×D4—64no—
284C2×C3×D4—91no—
285C22×C3×C4—21no—
286C22×C3×C4—91no—
287C22×C3×C4C2×D911yescharacteristic, complemented
288C22×C3×C4D3211yescharacteristic
289C2×#67—31no—
290C2×#67—92no—
291C2×#67—92no—
292C2×#67—92no—
293C2×#67—92no—
294C2×#67—92no—
295C2×#67—92no—
296C2×#67—92no—
297C2×#67—182no—
298C2×#67—188no—
299C22×Dic3—92no—
300D3×D4—184no—
301D3×D4—188no—
302C2×D12—24no—
303C2×D12—92no—
304C2×D12—92no—
305C2×D12—91no—
306C2×D12—91no—
307C2×D12—92no—
308C2×D12—181no—
309C2×D12—184no—
310C2×D12C2×D911yescharacteristic
311C2×D12C2×D911yescharacteristic, complemented
312C2×D12C2×D912yescomplemented
313C2×C4×D3—31no—
314C2×C4×D3—92no—
315C3×C4⋊C4—91no—
316C3×C22⋊C4—91no—
317C3×C22⋊C4—91no—
318C3×C42—91no—
319#217—31no—
320#217—92no—
321#217—92no—
322(C2×D3)⋊C4—31no—
323(C2×D3)⋊C4—92no—
324(C2×D3)⋊C4—92no—
325(C2×D3)⋊C4—92no—
326(C2×D3)⋊C4—92no—
327(C2×D3)⋊C4—182no—
328C4⋊Dic3—91no—
329C4⋊Dic3—91no—
330C4⋊Dic3—181no—
331Dic3⋊C4—31no—
332C4×Dic3—31no—
333C22×C32—21no—
334C22×C32—21no—
335C22×C32D3×D412yes—
336C22×C32C23×D311yescharacteristic
337C2×C3⋊D3—62no—
338C2×C3⋊D3—62no—
339C2×C3⋊D3—62no—
340C2×C3×D3—22no—
341C2×C3×D3—22no—
342C2×C3×D3—22no—
343C2×C3×D3—22no—
344C2×C3×D3—22no—
345C2×C3×D3—32no—
346C2×C3×D3—48no—
347C2×C3×D3—61no—
348C2×C3×D3—61no—
349C2×C3×D3C2×#6714yes—
350D32—128no—
351C32×C4—21no—
352C32×C4C2×#6712yes—
353C3⋊Dic3—62no—
354C3×Dic3—32no—
355C3×Dic3—61no—
356C3×Dic3—61no—
357C22×C9—21no—
358C22×C9—21no—
359C22×C9—21no—
360C22×C9—22no—
361C22×C9—34no—
362C22×C9—41no—
363C22×C9—41no—
364C22×C9—62no—
365C22×C9—62no—
366C22×C9—62no—
367C22×C9—62no—
368C22×C9—62no—
369C22×C9—128no—
370C22×C9C2×D1212yescomplemented
371C22×C9C23×D311yescharacteristic
372C2×D9—21no—
373C2×D9—21no—
374C2×D9—62no—
375C2×D9—62no—
376C2×D9—62no—
377C2×D9—122no—
378C2×D9—122no—
379C2×D9—122no—
380C2×D9—128no—
381C2×D9C2×D1212yescomplemented
382C4×C9—21no—
383C4×C9—22no—
384C4×C9—41no—
385C4×C9D3×D412yescomplemented
386Dic9—21no—
387Dic9—21no—
388Dic9—62no—
389Dic9—122no—
390Dic9C2×D1212yescomplemented
391C22×D4—31no—
392C22×D4—271no—
393C22×D4—272no—
394#127—271no—
395#121—272no—
396#121—271no—
397#121—271no—
398#120—272no—
399#120—272no—
400C4×D4—91no—
401C4×D4—271no—
402C3×C9D4211yescharacteristic, complemented, Sylow
403C23×C3—21no—
404C23×C3—32no—
405C23×C3—32no—
406C23×C3—64no—
407C23×C3—64no—
408C23×C3—91no—
409C23×C3—122no—
410C23×C3C22×D911yescharacteristic
411C23×C3C2×D3211yescharacteristic
412C22×D3—24no—
413C22×D3—24no—
414C22×D3—31no—
415C22×D3—42no—
416C22×D3—92no—
417C22×D3—92no—
418C22×D3—182no—
419C22×D3—184no—
420C22×D3—184no—
421C22×D3—184no—
422C22×D3—184no—
423C22×D3—362no—
424C22×D3—362no—
425C22×D3C22×D912yes—
426C22×D3C22×D912yes—
427C3×D4—34no—
428C3×D4—64no—
429C3×D4—62no—
430C3×D4—94no—
431C2×C3×C4—22no—
432C2×C3×C4—22no—
433C2×C3×C4—21no—
434C2×C3×C4—21no—
435C2×C3×C4—42no—
436C2×C3×C4—91no—
437C2×C3×C4—91no—
438C2×C3×C4—91no—
439C2×C3×C4—182no—
440C2×C3×C4C22×D911yescharacteristic
441C2×C3×C4C22×D911yescharacteristic
442C2×C3×C4C2×D3211yescharacteristic
443C2×C3×C4C2×D3211yescharacteristic
444#67—34no—
445#67—184no—
446#67—184no—
447#67—184no—
448#67—184no—
449#67—184no—
450#67—184no—
451#67—364no—
452#67—362no—
453C2×Dic3—31no—
454C2×Dic3—31no—
455C2×Dic3—31no—
456C2×Dic3—92no—
457C2×Dic3—92no—
458C2×Dic3—182no—
459C2×Dic3—184no—
460D12—24no—
461D12—22no—
462D12—184no—
463D12—184no—
464D12—182no—
465D12—182no—
466D12—362no—
467D12—362no—
468D12#61114yesdirect product factor
469C4×D3—62no—
470C4×D3—184no—
471C2×C32—22no—
472C2×C32C2×D3×D411yescharacteristic
473C2×C32#100411yescharacteristic
474C2×C32C22×#6711yescharacteristic
475C3⋊D3—122no—
476C3×D3—24no—
477C3×D3—42no—
478C3×D3—62no—
479C2×C9—22no—
480C2×C9—21no—
481C2×C9—21no—
482C2×C9—21no—
483C2×C9—42no—
484C2×C9—64no—
485C2×C9—122no—
486C2×C9C22×D1211yescharacteristic
487C2×C9C2×D3×D411yescharacteristic
488C2×C9#100911yescharacteristic
489D9—22no—
490D9—122no—
491D9—242no—
492C24—32no—
493C24—272no—
494C2×D4—31no—
495C2×D4—32no—
496C2×D4—31no—
497C2×D4—64no—
498C2×D4—91no—
499C2×D4—272no—
500C2×D4—272no—
501C2×D4—272no—
502C2×D4—272no—
503C2×D4—272no—
504C2×D4—271no—
505C2×D4—544no—
506C2×D4—548no—
507C22×C4—91no—
508C22×C4—272no—
509C22×C4D3×D911yescharacteristic, complemented
510C4⋊C4—91no—
511C4⋊C4—271no—
512C22⋊C4—91no—
513C22⋊C4—91no—
514C22⋊C4—272no—
515C22⋊C4—272no—
516C22⋊C4—272no—
517C42—91no—
518C22×C3—21no—
519C22×C3—21no—
520C22×C3—21no—
521C22×C3—21no—
522C22×C3—21no—
523C22×C3—22no—
524C22×C3—34no—
525C22×C3—41no—
526C22×C3—41no—
527C22×C3—62no—
528C22×C3—62no—
529C22×C3—62no—
530C22×C3—62no—
531C22×C3—62no—
532C22×C3—92no—
533C22×C3—128no—
534C22×C3—181no—
535C22×C3—181no—
536C22×C3D4×D912yescomplemented
537C22×C3C23×D911yescharacteristic
538C22×C3D3×D1212yes—
539C22×C3C22×D3211yescharacteristic
540C2×D3—22no—
541C2×D3—22no—
542C2×D3—22no—
543C2×D3—22no—
544C2×D3—22no—
545C2×D3—32no—
546C2×D3—48no—
547C2×D3—61no—
548C2×D3—61no—
549C2×D3—182no—
550C2×D3—182no—
551C2×D3—182no—
552C2×D3—182no—
553C2×D3—182no—
554C2×D3—182no—
555C2×D3—362no—
556C2×D3—362no—
557C2×D3—362no—
558C2×D3—368no—
559C2×D3—368no—
560C2×D3C2×#61114yescomplemented
561C3×C4—21no—
562C3×C4—21no—
563C3×C4—22no—
564C3×C4—41no—
565C3×C4—92no—
566C3×C4—181no—
567C3×C4—181no—
568C3×C4C2×#61112yescomplemented
569C3×C4D3×#6712yes—
570Dic3—32no—
571Dic3—61no—
572Dic3—61no—
573Dic3—182no—
574Dic3—182no—
575Dic3—362no—
576C32D4×#6711yescharacteristic
577C9—21no—
578C9D4×D1211yescharacteristic, complemented
579C23—32no—
580C23—32no—
581C23—64no—
582C23—64no—
583C23—91no—
584C23—122no—
585C23—272no—
586C23—544no—
587C23—544no—
588C23—1082no—
589C23C2×D3×D911yescharacteristic
590D4—34no—
591D4—64no—
592D4—62no—
593D4—94no—
594D4—544no—
595D4—544no—
596D4—544no—
597D4—544no—
598D4—542no—
599D4—1082no—
600C2×C4—22no—
601C2×C4—91no—
602C2×C4—91no—
603C2×C4—91no—
604C2×C4—182no—
605C2×C4—272no—
606C2×C4—544no—
607C2×C4C2×D3×D911yescharacteristic
608C2×C4C2×D3×D911yescharacteristic
609C2×C3—22no—
610C2×C3—22no—
611C2×C3—21no—
612C2×C3—21no—
613C2×C3—21no—
614C2×C3—42no—
615C2×C3—64no—
616C2×C3—122no—
617C2×C3—182no—
618C2×C3C2×D4×D911yescharacteristic
619C2×C3#6371011yescharacteristic
620C2×C3C22×#61111yescharacteristic
621C2×C3C2×D3×D1211yescharacteristic
622C2×C3#6430711yescharacteristic
623C2×C3C2×D3×#6711yescharacteristic
624D3—24no—
625D3—42no—
626D3—62no—
627D3—362no—
628D3—362no—
629D3—722no—
630C22—21no—
631C22—21no—
632C22—34no—
633C22—62no—
634C22—62no—
635C22—62no—
636C22—62no—
637C22—62no—
638C22—92no—
639C22—128no—
640C22—181no—
641C22—181no—
642C22—542no—
643C22—542no—
644C22—542no—
645C22—1088no—
646C22D9×D1212yescomplemented
647C22C22×D3×D911yescharacteristic
648C4—21no—
649C4—92no—
650C4—181no—
651C4—181no—
652C4—542no—
653C4D3×#61112yescomplemented
654C3—21no—
655C3D4×#61111yescharacteristic, complemented
656C3D12×#6711yescharacteristic
657C2—22no—
658C2—64no—
659C2—122no—
660C2—182no—
661C2—1082no—
662C2C2×D9×D1211yescharacteristic
663C2#1172247611yescharacteristic
664C2C2×D3×#61111yescharacteristic
subgroupG/H
centerC22C22×D3×D9
commutator, cosocleC22×C3×C9C24
FrattiniC22×C3C22×D32
FittingC22×C3×C4×C9C22
socleC22×C32C23×D3
hypercenterC22×C4D3×D9
hypocenterC3×C9D42
LCSG ▷ C22×C3×C9 ▷ C3×C9
UCSC1 ◁ C22 ◁ C22×C4

Complements

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

NH ≅ G/Ntype
1. C22×C9×D12C2semidirect
2. C2×D3×#611C2semidirect
3. C2×D9×D12C2semidirect
4. #11721819C2semidirect
5. C3×C4×#611C2semidirect
6. #11721287C2semidirect
7. #11721050C2semidirect
8. #11721040C2semidirect
9. #11721036C2semidirect
10. D12×Dic9C2semidirect
11. #11721017C2semidirect
14. C23×D3×C9C22semidirect
15. C22×D3×D9C22semidirect
16. C22×C3×C4×C9C22semidirect
17. C2×#6233C22semidirect
18. C2×C4⋊(C3⋊D9)C22semidirect
22. C2×C9×D12C22semidirect
23. C2×C9×D12C22semidirect
24. C2×C3×C4×D9C22semidirect
26. C2×#6195C22semidirect
27. C2×#6195C22semidirect
28. C2×#6195C22semidirect
29. C2×#6194C22semidirect
30. C2×D3×Dic9C22semidirect
32. #88536C22semidirect
33. C4⋊(C3⋊Dic9)C22semidirect
34. C3×#3676C22semidirect
35. C3×(C2×D9)⋊C4C22semidirect
36. C3×Dic9⋊C4C22semidirect
37. C3×C4×Dic9C22semidirect
38. (C2×D3)⋊Dic9C22semidirect
39. (C2×D3)⋊Dic9C22semidirect
62. C4×#611D3semidirect
80. C3×#611D4semidirect
86. C9×D12D4semidirect
128. C22×C4×C9C2×D3semidirect
141. C2×C4×D9C2×D3semidirect
144. #3676C2×D3semidirect
147. (C2×D9)⋊C4C2×D3semidirect
150. Dic9⋊C4C2×D3semidirect
151. C4×Dic9C2×D3semidirect
154. C22×C3×C9C2×D4semidirect
165. C2×D3×C9C2×D4semidirect
168. C2×C3×D9C2×D4semidirect
171. C3×C4×C9C2×D4semidirect
175. C3×Dic9C2×D4semidirect
181. C22×D12D9semidirect
257. #611D12direct (N × H)
279. C23×D3C2×D9semidirect
287. C22×C3×C4C2×D9semidirect
311. C2×D12C2×D9semidirect
312. C2×D12C2×D9semidirect
370. C22×C9C2×D12semidirect
381. C2×D9C2×D12semidirect
385. C4×C9D3×D4semidirect
390. Dic9C2×D12semidirect
402. C3×C9D42semidirect
468. D12#611direct (N × H)
509. C22×C4D3×D9semidirect
536. C22×C3D4×D9semidirect
560. C2×D3C2×#611semidirect
568. C3×C4C2×#611semidirect
578. C9D4×D12semidirect
646. C22D9×D12semidirect
653. C4D3×#611semidirect
655. C3D4×#611semidirect

Maximal subgroups

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

subgroupindex
C22×C9×D122
C2×D3×#6112
C2×D9×D122
#117218192
C3×C4×#6112
#117212872
#117210502
#117210402
#117210362
D12×Dic92
#117210172
D12×#673
D4×#6113