Finite Group Databasebeta

← #13177531

Subgroups — #13177531

Order 1728.

2944 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
1C2×C32×D3×D4C211yesmaximal, characteristic, complemented
2C2×D3×#638C212yesmaximal, complemented
3C2×#89026C211yesmaximal, characteristic, complemented
4#11723979C211yesmaximal, characteristic, complemented
5C3×#64149C211yesmaximal, characteristic, complemented
6#11723643C212yesmaximal, complemented
7#11723629C212yesmaximal, complemented
8#11723615C212yesmaximal, complemented
9#11723515C211yesmaximal, characteristic, complemented
10C4×#6291C211yesmaximal, characteristic, complemented
11D12×C3⋊Dic3C211yesmaximal, characteristic, complemented
12D4×#638—31nomaximal
13#10595293—34nomaximal
14C23×C32×D3C2212yescomplemented
15C22×D3×C3⋊D3C2212yescomplemented
16C2×C33×D4C2211yescharacteristic, complemented
17C2×#6312C2212yescomplemented
18C2×C4×C3⋊(C3⋊D3)C2211yescharacteristic, complemented
19C2×C3×#638C2212yescomplemented
20C2×C3×#638C2212yescomplemented
21C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
22C2×C32×#67C2212yescomplemented
23C32×D3×D4—24no—
24C2×C32×D12C2211yescharacteristic
25C2×C32×C4×D3C2211yescharacteristic, complemented
26D3×#638—28no—
27C2×#6291C2211yescharacteristic
28C2×#6290C2212yescomplemented
29C2×#6290C2212yescomplemented
30C2×D3×C3⋊Dic3C2212yescomplemented
31#89026—24no—
32#88864C2212yescomplemented
33C4⋊(C3⋊(C3⋊Dic3))C2211yescharacteristic, complemented
34C3×C4×C3⋊Dic3C2211yescharacteristic, complemented
35#88807C2211yescharacteristic, complemented
36#88804C2211yescharacteristic, complemented
37#88803C2212yescomplemented
38(C2×D3)⋊(C3⋊Dic3)C2211yescharacteristic, complemented
39(C2×D3)⋊(C3⋊Dic3)C2212yescomplemented
40C22×C32×D4—31no—
41C22×#638—32no—
42C2×D4×C3⋊D3—31no—
43C2×C3×D3×D4D314yescomplemented
44C2×D3×#67—38no—
45C2×#3802—34no—
46#64162—32no—
47#64149D311yescharacteristic, complemented
48#64148—32no—
49#64147—31no—
50#64147—34no—
51#64147—64no—
52#64146—32no—
53D4×C3⋊Dic3—31no—
54#64139—31no—
55C4×#638—31no—
56C3×#940—34no—
57#63983—38no—
58#63976—38no—
59#63970—38no—
60#63908—34no—
61C4×#626—34no—
62Dic3×D12—34no—
63C23×C33C2312yes—
64C22×C3⋊(C3⋊D3)C2311yescharacteristic
65C22×C3×C3⋊D3C2312yes—
66C22×C32×D3—24no—
67C22×C32×D3—24no—
68C22×C32×D3—42no—
69C22×C32×D3C2312yes—
70C22×C32×D3C2311yescharacteristic
71C2×D3×C3⋊D3—24no—
72C2×D3×C3⋊D3—24no—
73C2×D3×C3⋊D3—42no—
74C33×D4—22no—
75C2×C33×C4C2311yescharacteristic
76#6312—24no—
77C2×C3⋊(C3⋊Dic3)C2312yes—
78C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
79C4×C3⋊(C3⋊D3)—22no—
80C3×#638—24no—
81C3×#638—42no—
82C2×C3×C3⋊Dic3C2311yescharacteristic
83C2×C3×C3⋊Dic3C2311yescharacteristic
84C3×C4⋊(C3⋊D3)—22no—
85C32×#67—24no—
86C2×C32×Dic3C2311yescharacteristic
87C32×D12D414yescomplemented
88C32×C4×D3—22no—
89#6291D414yescomplemented
90#6290—24no—
91#6290—24no—
92D3×C3⋊Dic3—24no—
93D4×#67—94no—
94#5717—91no—
95C24×C32—32no—
96C23×C3⋊D3—32no—
97C23×C3×D3C2×D318yescomplemented
98C22×D32—38no—
99C2×C32×D4—24no—
100C2×C32×D4—32no—
101C2×C32×D4—31no—
102C2×C32×D4—64no—
103C2×C32×D4C2×D314yescomplemented
104C2×C32×D4C2×D311yescharacteristic, complemented
105C22×C32×C4—31no—
106C2×#638—32no—
107C2×#638—38no—
108C2×#638—32no—
109C2×#638—32no—
110C2×#638—31no—
111C2×#638—68no—
112C2×#638—68no—
113C2×#638C2×D312yescomplemented
114C2×#638C2×D312yescomplemented
115C22×C3⋊Dic3—32no—
116D4×C3⋊D3—64no—
117C2×C4⋊(C3⋊D3)C2×D311yescharacteristic, complemented
118C2×C4×C3⋊D3—31no—
119C2×C4×C3⋊D3—34no—
120C2×C4×C3⋊D3—64no—
121C2×C3×#67—38no—
122C2×C3×#67—38no—
123C2×C3×#67C2×D318yescomplemented
124C3×D3×D4—216no—
125C2×C3×D12—34no—
126C2×C3×D12C2×D314yes—
127C2×C3×C4×D3C2×D314yescomplemented
128D3×#67—632no—
129C2×#626—34no—
130C2×#625—38no—
131C2×#625—38no—
132C2×D3×Dic3—38no—
133#3802—616no—
134#3757—32no—
135#3757—38no—
136#3757—31no—
137#3757—32no—
138#3757—68no—
139#3752—32no—
140#3752—31no—
141C4⋊(C3⋊Dic3)—31no—
142C4⋊(C3⋊Dic3)—34no—
143C4⋊(C3⋊Dic3)—64no—
144#3750—31no—
145C4×C3⋊Dic3C2×D311yescharacteristic, complemented
146C3×C4×Dic3—34no—
147Dic3⋊Dic3—34no—
148#3722—34no—
149(C2×D3)⋊Dic3—38no—
150(C2×D3)⋊Dic3—34no—
151(C2×D3)⋊Dic3—38no—
152C22×C33—22no—
153C22×C33—22no—
154C22×C33—22no—
155C22×C33C2411yescharacteristic
156C2×C3⋊(C3⋊D3)—21no—
157C2×C3⋊(C3⋊D3)—21no—
158C2×C3⋊(C3⋊D3)C2×D412yescomplemented
159C2×C3×C3⋊D3—22no—
160C2×C3×C3⋊D3—22no—
161C2×C3×C3⋊D3—22no—
162C2×C32×D3—22no—
163C2×C32×D3—21no—
164C2×C32×D3—22no—
165C2×C32×D3—21no—
166C2×C32×D3—48no—
167C2×C32×D3C2×D412yescomplemented
168C2×C32×D3C2×D414yescomplemented
169D3×C3⋊D3—48no—
170C33×C4C2×D412yescomplemented
171C3⋊(C3⋊Dic3)—22no—
172C3⋊(C3⋊Dic3)—21no—
173C3×C3⋊Dic3—21no—
174C3×C3⋊Dic3C2×D412yescomplemented
175C32×Dic3—21no—
176C22×C3×D4—34no—
177C22×#67—98no—
178C2×D3×D4—94no—
179C2×D3×D4—92no—
180C2×D3×D4—91no—
181C2×D3×D4C3⋊D311yescharacteristic, complemented
182C3×#127—91no—
183#953—98no—
184#940—34no—
185#939—98no—
186#938—94no—
187#938—91no—
188#938—92no—
189#938—91no—
190#938—184no—
191#937—98no—
192#937—92no—
193#937—92no—
194D4×Dic3—94no—
195#930—94no—
196C4×#67—94no—
197C4×D12—91no—
198C4×D12—91no—
199C23×C32—28no—
200C23×C32—32no—
201C23×C32—31no—
202C23×C32—64no—
203C23×C32—64no—
204C23×C32—122no—
205C23×C32C22×D318yes—
206C23×C32C22×D312yes—
207C22×C3⋊D3—31no—
208C22×C3⋊D3—34no—
209C22×C3⋊D3—64no—
210C22×C3⋊D3—64no—
211C22×C3⋊D3—64no—
212C22×C3⋊D3—122no—
213C22×C3⋊D3C22×D312yes—
214C22×C3×D3—216no—
215C22×C3×D3—216no—
216C22×C3×D3—38no—
217C22×C3×D3—48no—
218C22×C3×D3C22×D314yes—
219C22×C3×D3C22×D318yes—
220C2×D32—616no—
221C2×D32—616no—
222C2×D32—128no—
223C32×D4—22no—
224C32×D4—28no—
225C32×D4—34no—
226C32×D4—48no—
227C32×D4—64no—
228C2×C32×C4—24no—
229C2×C32×C4—31no—
230C2×C32×C4—62no—
231C2×C32×C4C22×D314yes—
232C2×C32×C4C22×D311yescharacteristic
233#638—24no—
234#638—34no—
235#638—42no—
236#638—64no—
237#638—64no—
238#638—64no—
239#638—616no—
240#638—1216no—
241C2×C3⋊Dic3—31no—
242C2×C3⋊Dic3—32no—
243C2×C3⋊Dic3—38no—
244C2×C3⋊Dic3—34no—
245C2×C3⋊Dic3—68no—
246C2×C3⋊Dic3—64no—
247C2×C3⋊Dic3—64no—
248C2×C3⋊Dic3C22×D311yescharacteristic
249C2×C3⋊Dic3C22×D311yescharacteristic
250C4⋊(C3⋊D3)—22no—
251C4×C3⋊D3—62no—
252C4×C3⋊D3—68no—
253C4×C3⋊D3—128no—
254C3×#67—216no—
255C3×#67—616no—
256C3×#67—128no—
257C2×C3×Dic3—34no—
258C2×C3×Dic3—34no—
259C2×C3×Dic3C22×D314yes—
260C3×D12—68no—
261C3×D12#67116yescomplemented
262C3×C4×D3—28no—
263#626—316no—
264#625—616no—
265#625—616no—
266D3×Dic3—616no—
267D42—271noSylow
268C2×C33—42no—
269C2×C33C22×D411yescharacteristic
270C2×C33C22×D411yescharacteristic
271C2×C33H(5,𝔽2)11yescharacteristic
272C3⋊(C3⋊D3)—22no—
273C3×C3⋊D3—42no—
274C32×D3—24no—
275C32×D3—22no—
276C24×C3—38no—
277C23×D3—98no—
278C23×D3—92no—
279C23×D3C2×C3⋊D312yescomplemented
280C2×C3×D4—24no—
281C2×C3×D4—38no—
282C2×C3×D4—34no—
283C2×C3×D4—616no—
284C2×C3×D4—92no—
285C2×C3×D4—92no—
286C2×C3×D4—91no—
287C2×C3×D4D3214yescomplemented
288C2×C3×D4C2×C3⋊D311yescharacteristic, complemented
289C22×C3×C4—34no—
290C2×#67—38no—
291C2×#67—38no—
292C2×#67—94no—
293C2×#67—98no—
294C2×#67—98no—
295C2×#67—98no—
296C2×#67—92no—
297C2×#67—92no—
298C2×#67—92no—
299C2×#67—188no—
300C2×#67—1832no—
301C2×#67C2×C3⋊D312yescomplemented
302C22×Dic3—98no—
303D3×D4—24no—
304D3×D4—1816no—
305D3×D4—188no—
306D3×D4—184no—
307C2×D12—34no—
308C2×D12—91no—
309C2×D12C2×C3⋊D311yescharacteristic
310C2×C4×D3—92no—
311C2×C4×D3—94no—
312C2×C4×D3—91no—
313C2×C4×D3—184no—
314C2×C4×D3C2×C3⋊D311yescharacteristic, complemented
315C3×C42—91no—
316#217—94no—
317#217—98no—
318#217—98no—
319#217—92no—
320#217—92no—
321#217—188no—
322(C2×D3)⋊C4—94no—
323(C2×D3)⋊C4—98no—
324(C2×D3)⋊C4—91no—
325(C2×D3)⋊C4—92no—
326(C2×D3)⋊C4—91no—
327C4⋊Dic3—94no—
328C4⋊Dic3—91no—
329C4⋊Dic3—91no—
330C4⋊Dic3—184no—
331Dic3⋊C4—94no—
332C4×Dic3—34no—
333C22×C32—22no—
334C22×C32—22no—
335C22×C32—22no—
336C22×C32—24no—
337C22×C32—28no—
338C22×C32—28no—
339C22×C32—28no—
340C22×C32—32no—
341C22×C32—34no—
342C22×C32—48no—
343C22×C32—48no—
344C22×C32—48no—
345C22×C32—62no—
346C22×C32—61no—
347C22×C32—62no—
348C22×C32—61no—
349C22×C32—128no—
350C22×C32C23×D314yes—
351C22×C32C23×D311yescharacteristic
352C2×C3⋊D3—22no—
353C2×C3⋊D3—22no—
354C2×C3⋊D3—22no—
355C2×C3⋊D3—32no—
356C2×C3⋊D3—38no—
357C2×C3⋊D3—68no—
358C2×C3⋊D3—61no—
359C2×C3⋊D3—61no—
360C2×C3⋊D3—64no—
361C2×C3⋊D3—64no—
362C2×C3⋊D3—124no—
363C2×C3⋊D3—124no—
364C2×C3⋊D3—128no—
365C2×C3×D3—28no—
366C2×C3×D3—28no—
367C2×C3×D3—24no—
368C2×C3×D3—24no—
369C2×C3×D3—432no—
370C2×C3×D3—68no—
371C2×C3×D3—68no—
372C2×C3×D3—68no—
373C2×C3×D3D3×D418yescomplemented
374C2×C3×D3C2×#67116yescomplemented
375D32—1232no—
376C32×C4—28no—
377C32×C4—61no—
378C32×C4D3×D412yescomplemented
379C32×C4C2×#6718yescomplemented
380C3⋊Dic3—21no—
381C3⋊Dic3—61no—
382C3⋊Dic3—62no—
383C3⋊Dic3—68no—
384C3⋊Dic3—64no—
385C3⋊Dic3—124no—
386C3⋊Dic3—128no—
387C3⋊Dic3D3×D412yescomplemented
388C3×Dic3—24no—
389C3×Dic3—38no—
390C3×Dic3—64no—
391C22×D4—31no—
392C22×D4—271no—
393C22×D4—272no—
394#127—91no—
395#121—271no—
396#121—272no—
397#121—271no—
398#120—272no—
399#120—272no—
400C4×D4—271no—
401C4×D4—271no—
402C33D4211yescharacteristic, complemented, Sylow
403C23×C3—28no—
404C23×C3—38no—
405C23×C3—34no—
406C23×C3—616no—
407C23×C3—616no—
408C23×C3—92no—
409C23×C3—128no—
410C23×C3C2×D3218yes—
411C23×C3C22×C3⋊D312yes—
412C22×D3—24no—
413C22×D3—24no—
414C22×D3—38no—
415C22×D3—42no—
416C22×D3—94no—
417C22×D3—91no—
418C22×D3—184no—
419C22×D3—184no—
420C22×D3—1816no—
421C22×D3—1816no—
422C22×D3—184no—
423C22×D3—362no—
424C22×D3—368no—
425C22×D3C22×C3⋊D311yescharacteristic
426C22×D3C22×C3⋊D312yes—
427C3×D4—28no—
428C3×D4—22no—
429C3×D4—316no—
430C3×D4—48no—
431C3×D4—616no—
432C3×D4—184no—
433C3×D4—182no—
434C3×D4—362no—
435C2×C3×C4—24no—
436C2×C3×C4—34no—
437C2×C3×C4—68no—
438C2×C3×C4—91no—
439C2×C3×C4—91no—
440C2×C3×C4C2×D3214yes—
441C2×C3×C4C22×C3⋊D311yescharacteristic
442#67—24no—
443#67—616no—
444#67—916no—
445#67—128no—
446#67—1816no—
447#67—1816no—
448#67—184no—
449#67—1816no—
450#67—184no—
451#67—184no—
452#67—3616no—
453C2×Dic3—34no—
454C2×Dic3—34no—
455C2×Dic3—94no—
456C2×Dic3—98no—
457C2×Dic3—92no—
458C2×Dic3—91no—
459C2×Dic3—188no—
460C2×Dic3—184no—
461C2×Dic3—1816no—
462C2×Dic3C22×C3⋊D311yescharacteristic
463D12—68no—
464D12—94no—
465D12#63814yescomplemented
466C4×D3—22no—
467C4×D3—184no—
468C4×D3—188no—
469C4×D3—182no—
470C4×D3—368no—
471C2×C32—24no—
472C2×C32—24no—
473C2×C32—24no—
474C2×C32—42no—
475C2×C32—48no—
476C2×C32—64no—
477C2×C32—62no—
478C2×C32—88no—
479C2×C32C2×D3×D414yes—
480C2×C32C2×D3×D411yescharacteristic
481C2×C32C2×D3×D411yescharacteristic
482C2×C32#100414yes—
483C2×C32#100411yescharacteristic
484C2×C32C22×#6714yes—
485C3⋊D3—42no—
486C3⋊D3—62no—
487C3⋊D3—68no—
488C3⋊D3—128no—
489C3×D3—216no—
490C3×D3—28no—
491C3×D3—128no—
492C24—32no—
493C24—272no—
494C2×D4—32no—
495C2×D4—31no—
496C2×D4—64no—
497C2×D4—92no—
498C2×D4—92no—
499C2×D4—91no—
500C2×D4—271no—
501C2×D4—272no—
502C2×D4—272no—
503C2×D4—272no—
504C2×D4—544no—
505C2×D4—548no—
506C2×D4D3×C3⋊D311yescharacteristic, complemented
507C22×C4—31no—
508C22×C4—272no—
509C22×C4—271no—
510C4⋊C4—271no—
511C4⋊C4—271no—
512C22⋊C4—271no—
513C22⋊C4—272no—
514C22⋊C4—271no—
515C22⋊C4—272no—
516C22⋊C4—272no—
517C42—91no—
518C22×C3—28no—
519C22×C3—28no—
520C22×C3—28no—
521C22×C3—22no—
522C22×C3—22no—
523C22×C3—22no—
524C22×C3—24no—
525C22×C3—38no—
526C22×C3—316no—
527C22×C3—48no—
528C22×C3—48no—
529C22×C3—48no—
530C22×C3—68no—
531C22×C3—68no—
532C22×C3—64no—
533C22×C3—64no—
534C22×C3—1232no—
535C22×C3—182no—
536C22×C3—182no—
537C22×C3—182no—
538C22×C3C22×D3214yes—
539C22×C3C23×C3⋊D311yescharacteristic
540C2×D3—22no—
541C2×D3—21no—
542C2×D3—22no—
543C2×D3—21no—
544C2×D3—48no—
545C2×D3—68no—
546C2×D3—68no—
547C2×D3—68no—
548C2×D3—98no—
549C2×D3—92no—
550C2×D3—188no—
551C2×D3—184no—
552C2×D3—184no—
553C2×D3—181no—
554C2×D3—181no—
555C2×D3—364no—
556C2×D3—364no—
557C2×D3—368no—
558C2×D3—3632no—
559C2×D3D4×C3⋊D312yescomplemented
560C2×D3C2×#63814yescomplemented
561C3×C4—28no—
562C3×C4—64no—
563C3×C4—92no—
564C3×C4—181no—
565C3×C4D3×#6718yescomplemented
566C3×C4C2×#63812yescomplemented
567Dic3—21no—
568Dic3—38no—
569Dic3—64no—
570Dic3—188no—
571Dic3—184no—
572Dic3—182no—
573Dic3—181no—
574Dic3—364no—
575Dic3—368no—
576C32—24no—
577C32#571711yescharacteristic, complemented
578C32D4×#6714yescomplemented
579C23—31no—
580C23—32no—
581C23—64no—
582C23—64no—
583C23—92no—
584C23—122no—
585C23—271no—
586C23—544no—
587C23—544no—
588C23—1082no—
589C23C2×D3×C3⋊D312yes—
590D4—22no—
591D4—34no—
592D4—64no—
593D4—184no—
594D4—182no—
595D4—274no—
596D4—362no—
597D4—544no—
598D4—544no—
599D4—544no—
600C2×C4—31no—
601C2×C4—62no—
602C2×C4—91no—
603C2×C4—91no—
604C2×C4—272no—
605C2×C4—271no—
606C2×C4—544no—
607C2×C4—542no—
608C2×C4C2×D3×C3⋊D311yescharacteristic
609C2×C3—24no—
610C2×C3—24no—
611C2×C3—24no—
612C2×C3—42no—
613C2×C3—48no—
614C2×C3—616no—
615C2×C3—68no—
616C2×C3—88no—
617C2×C3—362no—
618C2×C3D32×D414yes—
619C2×C3#6431314yes—
620C2×C3C2×D3×#6714yes—
621C2×C3C2×D4×C3⋊D311yescharacteristic
622C2×C3#6436111yescharacteristic
623C2×C3C22×#63811yescharacteristic
624D3—22no—
625D3—24no—
626D3—128no—
627D3—182no—
628D3—188no—
629D3—368no—
630C22—22no—
631C22—22no—
632C22—22no—
633C22—32no—
634C22—34no—
635C22—62no—
636C22—61no—
637C22—62no—
638C22—61no—
639C22—128no—
640C22—182no—
641C22—182no—
642C22—182no—
643C22—272no—
644C22—541no—
645C22—541no—
646C22—1088no—
647C22C22×D3×C3⋊D311yescharacteristic
648C4—61no—
649C4—92no—
650C4—181no—
651C4—542no—
652C4—541no—
653C4D3×#63812yescomplemented
654C3—24no—
655C3#1059529314yescomplemented
656C3D4×#63811yescharacteristic, complemented
657C2—42no—
658C2—62no—
659C2—64no—
660C2—362no—
661C2—542no—
662C2D3×D4×C3⋊D311yescharacteristic
663C2#1172458711yescharacteristic
664C2C2×D3×#63811yescharacteristic
subgroupG/H
center, FrattiniC22C22×D3×C3⋊D3
commutator, socle, cosocleC22×C33C24
FittingC2×C33×D4C22
hypercenterC2×D4D3×C3⋊D3
hypocenterC33D42
LCSG ▷ C22×C33 ▷ C33
UCSC1 ◁ C22 ◁ C2×D4

Complements

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

NH ≅ G/Ntype
1. C2×C32×D3×D4C2semidirect
2. C2×D3×#638C2semidirect
3. C2×#89026C2semidirect
4. #11723979C2semidirect
5. C3×#64149C2semidirect
6. #11723643C2semidirect
7. #11723629C2semidirect
8. #11723615C2semidirect
9. #11723515C2semidirect
10. C4×#6291C2semidirect
11. D12×C3⋊Dic3C2semidirect
14. C23×C32×D3C22semidirect
15. C22×D3×C3⋊D3C22semidirect
16. C2×C33×D4C22semidirect
17. C2×#6312C22semidirect
18. C2×C4×C3⋊(C3⋊D3)C22semidirect
19. C2×C3×#638C22semidirect
20. C2×C3×#638C22semidirect
21. C2×C3×C4⋊(C3⋊D3)C22semidirect
22. C2×C32×#67C22semidirect
25. C2×C32×C4×D3C22semidirect
28. C2×#6290C22semidirect
29. C2×#6290C22semidirect
30. C2×D3×C3⋊Dic3C22semidirect
32. #88864C22semidirect
33. C4⋊(C3⋊(C3⋊Dic3))C22semidirect
34. C3×C4×C3⋊Dic3C22semidirect
35. #88807C22semidirect
36. #88804C22semidirect
37. #88803C22semidirect
38. (C2×D3)⋊(C3⋊Dic3)C22semidirect
39. (C2×D3)⋊(C3⋊Dic3)C22semidirect
43. C2×C3×D3×D4D3semidirect
47. #64149D3semidirect
87. C32×D12D4semidirect
89. #6291D4semidirect
97. C23×C3×D3C2×D3semidirect
103. C2×C32×D4C2×D3semidirect
104. C2×C32×D4C2×D3semidirect
113. C2×#638C2×D3semidirect
114. C2×#638C2×D3semidirect
117. C2×C4⋊(C3⋊D3)C2×D3semidirect
123. C2×C3×#67C2×D3semidirect
127. C2×C3×C4×D3C2×D3semidirect
145. C4×C3⋊Dic3C2×D3semidirect
158. C2×C3⋊(C3⋊D3)C2×D4semidirect
167. C2×C32×D3C2×D4semidirect
168. C2×C32×D3C2×D4semidirect
170. C33×C4C2×D4semidirect
174. C3×C3⋊Dic3C2×D4semidirect
181. C2×D3×D4C3⋊D3semidirect
261. C3×D12#67semidirect
279. C23×D3C2×C3⋊D3semidirect
287. C2×C3×D4D32semidirect
288. C2×C3×D4C2×C3⋊D3semidirect
301. C2×#67C2×C3⋊D3semidirect
314. C2×C4×D3C2×C3⋊D3semidirect
373. C2×C3×D3D3×D4semidirect
374. C2×C3×D3C2×#67semidirect
378. C32×C4D3×D4semidirect
379. C32×C4C2×#67semidirect
387. C3⋊Dic3D3×D4semidirect
402. C33D42semidirect
465. D12#638semidirect
506. C2×D4D3×C3⋊D3semidirect
559. C2×D3D4×C3⋊D3semidirect
560. C2×D3C2×#638semidirect
565. C3×C4D3×#67semidirect
566. C3×C4C2×#638semidirect
577. C32#5717semidirect
578. C32D4×#67semidirect
653. C4D3×#638semidirect
655. C3#10595293semidirect
656. C3D4×#638semidirect

Maximal subgroups

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

subgroupindex
C2×C32×D3×D42
C2×D3×#6382
C2×#890262
#117239792
C3×#641492
#117236432
#117236292
#117236152
#117235152
C4×#62912
D12×C3⋊Dic32
D4×#6383
#105952933