Finite Group Databasebeta

← #13177307

Subgroups — #13177307

Order 1728.

2944 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×C4⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
2C2×C3⋊D3×#67C212yesmaximal, complemented
3C2×#89026C211yesmaximal, characteristic, complemented
4C4×#6312C211yesmaximal, characteristic, complemented
5C32×#930C211yesmaximal, characteristic, complemented
6#11723634C212yesmaximal, complemented
7#11723541C212yesmaximal, complemented
8#11723532C211yesmaximal, characteristic, complemented
9#11723529C211yesmaximal, characteristic, complemented
10#11723519C212yesmaximal, complemented
11#11723501C211yesmaximal, characteristic, complemented
12#10596080—31nomaximal
13#10595069—34nomaximal
14C23×C3×C3⋊D3C2212yescomplemented
15C22×D3×C3⋊D3C2212yescomplemented
16C22×C33×C4C2211yescharacteristic, complemented
17C2×#6312C2211yescharacteristic
18C2×C4×C3⋊(C3⋊D3)C2211yescharacteristic, complemented
19C2×C3×C4⋊(C3⋊D3)—24no—
20C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
21C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
22C2×C3×C4⋊(C3⋊D3)C2212yescomplemented
23C2×C32×#67C2212yescomplemented
24C2×C32×D12C2211yescharacteristic, complemented
25C3⋊D3×#67—28no—
26C2×#6292C2212yescomplemented
27C2×#6290C2212yescomplemented
28C2×#6290C2212yescomplemented
29C2×#6290C2212yescomplemented
30C2×Dic3×C3⋊D3C2212yescomplemented
31#89026—24no—
32#88864C2211yescharacteristic, complemented
33#88859C2211yescharacteristic, complemented
34#88857C2211yescharacteristic, complemented
35C4×C3⋊(C3⋊Dic3)C2211yescharacteristic, complemented
36C32×(C2×D3)⋊C4C2212yescomplemented
37C32×C4⋊Dic3C2211yescharacteristic, complemented
38#88803C2212yescomplemented
39#88803C2212yescomplemented
40C2×D4×C3⋊D3—31no—
41C2×D4×C3⋊D3—32no—
42C22×C4⋊(C3⋊D3)D311yescharacteristic, complemented
43C22×C3×D12—34no—
44C2×D3×#67—38no—
45C2×#3802—34no—
46C32×#121—31no—
47#64149—31no—
48#64146—32no—
49C4×#638—31no—
50C4×#638—34no—
51C4×#638—64no—
52#64104—31no—
53#64102—31no—
54#64093—32no—
55#64091—32no—
56C3×#930D314yescomplemented
57#63976—38no—
58#63922—38no—
59#63916—34no—
60#63914—34no—
61#63898—34no—
62#63885—38no—
63C23×C33C2311yescharacteristic
64C22×C3⋊(C3⋊D3)C2311yescharacteristic
65C22×C3×C3⋊D3—24no—
66C22×C3×C3⋊D3—24no—
67C22×C3×C3⋊D3—42no—
68C22×C3×C3⋊D3C2312yes—
69C22×C3×C3⋊D3C2312yes—
70C22×C32×D3C2312yes—
71C2×D3×C3⋊D3—24no—
72C2×D3×C3⋊D3—24no—
73C2×D3×C3⋊D3—42no—
74C2×C33×C4—22no—
75C2×C33×C4C2311yescharacteristic
76C2×C33×C4C2311yescharacteristic
77#6312D414yescomplemented
78C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
79C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
80C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
81C4×C3⋊(C3⋊D3)—22no—
82C3×C4⋊(C3⋊D3)—24no—
83C3×C4⋊(C3⋊D3)—22no—
84C3×C4⋊(C3⋊D3)D414yescomplemented
85C32×#67—24no—
86C2×C32×Dic3C2312yes—
87C32×D12—22no—
88#6292—24no—
89#6290—24no—
90#6290—24no—
91#6290—42no—
92Dic3×C3⋊D3—24no—
93D4×#67—91no—
94#5609—94no—
95C23×C3⋊D3—32no—
96C23×C3⋊D3C2×D312yescomplemented
97C23×C3×D3—38no—
98C22×D32—38no—
99C2×C32×D4—32no—
100C2×C32×D4—31no—
101C22×C32×C4—24no—
102C22×C32×C4C2×D314yescomplemented
103C22×C32×C4C2×D311yescharacteristic, complemented
104C2×#638—31no—
105C2×#638—34no—
106C2×#638—32no—
107C2×#638—32no—
108C2×#638—32no—
109C2×#638—64no—
110D4×C3⋊D3—68no—
111D4×C3⋊D3—64no—
112C2×C4⋊(C3⋊D3)—24no—
113C2×C4⋊(C3⋊D3)—32no—
114C2×C4⋊(C3⋊D3)C2×D311yescharacteristic
115C2×C4⋊(C3⋊D3)C2×D312yescomplemented
116C2×C4⋊(C3⋊D3)C2×D311yescharacteristic, complemented
117C2×C4×C3⋊D3—32no—
118C2×C4×C3⋊D3—31no—
119C2×C4×C3⋊D3—34no—
120C2×C4×C3⋊D3—64no—
121C2×C3×#67C2×D318yescomplemented
122C2×C3×D12—34no—
123C2×C3×D12—38no—
124C2×C3×D12—34no—
125C2×C3×D12—616no—
126C2×C3×D12C2×D314yescomplemented
127D3×#67—632no—
128C2×#626—38no—
129C2×#625—38no—
130C2×#625—38no—
131C2×#625—38no—
132C2×D3×Dic3—38no—
133#3802—616no—
134C32×C4⋊C4—31no—
135C32×C22⋊C4—32no—
136#3757—31no—
137#3757—34no—
138#3757—64no—
139#3752—32no—
140#3752—32no—
141#3752—31no—
142#3752—34no—
143#3752—64no—
144#3750—31no—
145#3750—34no—
146#3750—64no—
147C4×C3⋊Dic3—31no—
148C4×C3⋊Dic3—34no—
149C4×C3⋊Dic3—64no—
150C3×(C2×D3)⋊C4C2×D318yescomplemented
151C3×C4⋊Dic3C2×D314yescomplemented
152(C2×D3)⋊Dic3—38no—
153(C2×D3)⋊Dic3—38no—
154C22×C33—21no—
155C22×C33—21no—
156C22×C33C2×D412yescomplemented
157C22×C33C2411yescharacteristic
158C2×C3⋊(C3⋊D3)—21no—
159C2×C3⋊(C3⋊D3)—21no—
160C2×C3⋊(C3⋊D3)C2×D412yescomplemented
161C2×C3×C3⋊D3—22no—
162C2×C3×C3⋊D3—22no—
163C2×C3×C3⋊D3—22no—
164C2×C3×C3⋊D3—22no—
165C2×C3×C3⋊D3—22no—
166C2×C3×C3⋊D3—48no—
167C2×C3×C3⋊D3C2×D414yescomplemented
168C2×C32×D3—22no—
169C2×C32×D3—22no—
170C2×C32×D3—22no—
171D3×C3⋊D3—48no—
172C33×C4—21no—
173C33×C4C2×D412yescomplemented
174C3⋊(C3⋊Dic3)—21no—
175C3⋊(C3⋊Dic3)—21no—
176C3⋊(C3⋊Dic3)C2×D412yescomplemented
177C32×Dic3—22no—
178C22×C3×D4—91no—
179C22×#67—92no—
180C2×D3×D4—94no—
181C2×D3×D4—98no—
182C2×D3×D4—91no—
183C22×D12—34no—
184C3×#121—34no—
185#953—92no—
186#940—94no—
187#940—91no—
188#939—92no—
189#938—91no—
190#937—98no—
191#937—92no—
192D4×Dic3—91no—
193#930C3⋊D311yescharacteristic, complemented
194C4×#67—94no—
195C4×#67—91no—
196C4×#67—184no—
197#895—94no—
198#893—94no—
199#884—98no—
200#882—98no—
201C23×C32—24no—
202C23×C32—32no—
203C23×C32C22×D314yes—
204C23×C32C22×D311yescharacteristic
205C22×C3⋊D3—24no—
206C22×C3⋊D3—24no—
207C22×C3⋊D3—31no—
208C22×C3⋊D3—34no—
209C22×C3⋊D3—42no—
210C22×C3⋊D3—64no—
211C22×C3⋊D3—64no—
212C22×C3⋊D3—64no—
213C22×C3⋊D3—122no—
214C22×C3⋊D3C22×D312yes—
215C22×C3⋊D3C22×D312yes—
216C22×C3×D3—38no—
217C22×C3×D3—38no—
218C22×C3×D3—616no—
219C22×C3×D3—616no—
220C22×C3×D3—128no—
221C22×C3×D3C22×D318yes—
222C2×D32—616no—
223C2×D32—616no—
224C2×D32—128no—
225C32×D4—64no—
226C32×D4—62no—
227C2×C32×C4—22no—
228C2×C32×C4—24no—
229C2×C32×C4—24no—
230C2×C32×C4—28no—
231C2×C32×C4—32no—
232C2×C32×C4—48no—
233C2×C32×C4C22×D314yes—
234C2×C32×C4C22×D314yes—
235C2×C32×C4C22×D311yescharacteristic
236C2×C32×C4C22×D311yescharacteristic
237#638—34no—
238#638—316no—
239#638—616no—
240#638—64no—
241#638—64no—
242#638—122no—
243C2×C3⋊Dic3—31no—
244C2×C3⋊Dic3—31no—
245C2×C3⋊Dic3—31no—
246C2×C3⋊Dic3—34no—
247C2×C3⋊Dic3—34no—
248C2×C3⋊Dic3—34no—
249C2×C3⋊Dic3—64no—
250C2×C3⋊Dic3—64no—
251C2×C3⋊Dic3—64no—
252C4⋊(C3⋊D3)—24no—
253C4⋊(C3⋊D3)—22no—
254C4⋊(C3⋊D3)—64no—
255C4⋊(C3⋊D3)#6714yescomplemented
256C4×C3⋊D3—64no—
257C4×C3⋊D3—62no—
258C4×C3⋊D3—68no—
259C4×C3⋊D3—128no—
260C3×#67—216no—
261C2×C3×Dic3C22×D318yes—
262C3×D12—28no—
263C3×D12—316no—
264C3×D12—616no—
265C3×D12—68no—
266#626—616no—
267#625—616no—
268#625—616no—
269#625—128no—
270D3×Dic3—616no—
271D42—271noSylow
272C2×C33—22no—
273C2×C33C22×D411yescharacteristic
274C2×C33C22×D411yescharacteristic
275C2×C33H(5,𝔽2)11yescharacteristic
276C3⋊(C3⋊D3)—22no—
277C3×C3⋊D3—24no—
278C3×C3⋊D3—42no—
279C32×D3—42no—
280C24×C3—92no—
281C23×D3—38no—
282C23×D3—98no—
283C23×D3—92no—
284C2×C3×D4—38no—
285C2×C3×D4—34no—
286C2×C3×D4—91no—
287C2×C3×D4—92no—
288C2×C3×D4—91no—
289C2×C3×D4—184no—
290C22×C3×C4—24no—
291C22×C3×C4D3214yescomplemented
292C22×C3×C4C2×C3⋊D311yescharacteristic, complemented
293C2×#67—94no—
294C2×#67—91no—
295C2×#67—98no—
296C2×#67—98no—
297C2×#67—92no—
298C2×#67—92no—
299C2×#67—98no—
300C2×#67—92no—
301C2×#67—92no—
302C2×#67—184no—
303C2×#67—188no—
304C2×#67C2×C3⋊D312yescomplemented
305C22×Dic3—92no—
306D3×D4—184no—
307D3×D4—1816no—
308D3×D4—1832no—
309C2×D12—34no—
310C2×D12—38no—
311C2×D12—34no—
312C2×D12—616no—
313C2×D12—98no—
314C2×D12C2×C3⋊D311yescharacteristic, complemented
315C2×C4×D3—98no—
316C2×C4×D3—94no—
317C2×C4×D3—91no—
318C2×C4×D3—184no—
319C3×C4⋊C4—34no—
320C3×C22⋊C4—38no—
321#217—94no—
322#217—91no—
323#217—92no—
324#217—92no—
325#217—184no—
326(C2×D3)⋊C4—98no—
327(C2×D3)⋊C4—98no—
328(C2×D3)⋊C4—94no—
329(C2×D3)⋊C4—91no—
330(C2×D3)⋊C4—184no—
331(C2×D3)⋊C4C2×C3⋊D312yescomplemented
332C4⋊Dic3C2×C3⋊D311yescharacteristic, complemented
333Dic3⋊C4—94no—
334Dic3⋊C4—91no—
335Dic3⋊C4—184no—
336C4×Dic3—94no—
337C4×Dic3—91no—
338C4×Dic3—184no—
339C22×C32—21no—
340C22×C32—21no—
341C22×C32—24no—
342C22×C32—28no—
343C22×C32—24no—
344C22×C32—24no—
345C22×C32—44no—
346C22×C32—44no—
347C22×C32—62no—
348C22×C32—62no—
349C22×C32—62no—
350C22×C32D3×D418yescomplemented
351C22×C32D3×D412yescomplemented
352C22×C32C23×D314yes—
353C22×C32C23×D311yescharacteristic
354C2×C3⋊D3—22no—
355C2×C3⋊D3—22no—
356C2×C3⋊D3—22no—
357C2×C3⋊D3—22no—
358C2×C3⋊D3—22no—
359C2×C3⋊D3—32no—
360C2×C3⋊D3—38no—
361C2×C3⋊D3—48no—
362C2×C3⋊D3—68no—
363C2×C3⋊D3—61no—
364C2×C3⋊D3—61no—
365C2×C3⋊D3—64no—
366C2×C3⋊D3—64no—
367C2×C3⋊D3—124no—
368C2×C3⋊D3—124no—
369C2×C3⋊D3—128no—
370C2×C3⋊D3C2×#6714yescomplemented
371C2×C3×D3—28no—
372C2×C3×D3—28no—
373C2×C3×D3—28no—
374C2×C3×D3—316no—
375C2×C3×D3—68no—
376C2×C3×D3—68no—
377C2×C3×D3—68no—
378C2×C3×D3—68no—
379C2×C3×D3—68no—
380C2×C3×D3—1232no—
381D32—1232no—
382C32×C4—21no—
383C32×C4—28no—
384C32×C4—24no—
385C32×C4—44no—
386C32×C4—62no—
387C32×C4D3×D418yescomplemented
388C32×C4C2×#6712yescomplemented
389C3⋊Dic3—32no—
390C3⋊Dic3—38no—
391C3⋊Dic3—68no—
392C3⋊Dic3—61no—
393C3⋊Dic3—61no—
394C3⋊Dic3—64no—
395C3⋊Dic3—64no—
396C3⋊Dic3—124no—
397C3⋊Dic3—124no—
398C3×Dic3—28no—
399C22×D4—91no—
400C22×D4—271no—
401C22×D4—272no—
402#127—271no—
403#121—31no—
404#121—272no—
405#121—271no—
406#120—272no—
407#120—272no—
408C4×D4—271no—
409C4×D4—271no—
410C33D4211yescharacteristic, complemented, Sylow
411C23×C3—24no—
412C23×C3—38no—
413C23×C3—92no—
414C23×C3—92no—
415C23×C3—184no—
416C23×C3—184no—
417C23×C3—362no—
418C23×C3C2×D3214yes—
419C23×C3C22×C3⋊D311yescharacteristic
420C22×D3—38no—
421C22×D3—38no—
422C22×D3—616no—
423C22×D3—616no—
424C22×D3—94no—
425C22×D3—91no—
426C22×D3—128no—
427C22×D3—184no—
428C22×D3—184no—
429C22×D3—184no—
430C22×D3—1816no—
431C22×D3—1816no—
432C22×D3—362no—
433C22×D3—368no—
434C22×D3C22×C3⋊D312yes—
435C3×D4—616no—
436C3×D4—68no—
437C3×D4—94no—
438C3×D4—184no—
439C3×D4—182no—
440C2×C3×C4—28no—
441C2×C3×C4—22no—
442C2×C3×C4—24no—
443C2×C3×C4—24no—
444C2×C3×C4—38no—
445C2×C3×C4—48no—
446C2×C3×C4C2×D3214yes—
447C2×C3×C4C2×D3214yes—
448C2×C3×C4C22×C3⋊D311yescharacteristic
449C2×C3×C4C22×C3⋊D311yescharacteristic
450#67—24no—
451#67—916no—
452#67—94no—
453#67—1816no—
454#67—184no—
455#67—184no—
456#67—1816no—
457#67—184no—
458#67—1816no—
459#67—362no—
460#67—368no—
461C2×Dic3—94no—
462C2×Dic3—91no—
463C2×Dic3—94no—
464C2×Dic3—94no—
465C2×Dic3—91no—
466C2×Dic3—91no—
467C2×Dic3—184no—
468C2×Dic3—184no—
469C2×Dic3—184no—
470C2×Dic3—184no—
471C2×Dic3C22×C3⋊D312yes—
472D12—22no—
473D12—316no—
474D12—616no—
475D12—68no—
476D12—1816no—
477C4×D3—1816no—
478C4×D3—188no—
479C4×D3—182no—
480C4×D3—368no—
481C2×C32—22no—
482C2×C32—24no—
483C2×C32—24no—
484C2×C32—24no—
485C2×C32—28no—
486C2×C32—48no—
487C2×C32—122no—
488C2×C32C2×D3×D414yes—
489C2×C32C2×D3×D414yes—
490C2×C32C2×D3×D411yescharacteristic
491C2×C32#100411yescharacteristic
492C2×C32#100914yes—
493C2×C32C22×#6711yescharacteristic
494C3⋊D3—24no—
495C3⋊D3—42no—
496C3⋊D3—62no—
497C3⋊D3—68no—
498C3⋊D3—128no—
499C3×D3—48no—
500C3×D3—616no—
501C3×D3—128no—
502C24—92no—
503C24—272no—
504C2×D4—32no—
505C2×D4—31no—
506C2×D4—91no—
507C2×D4—92no—
508C2×D4—91no—
509C2×D4—184no—
510C2×D4—272no—
511C2×D4—271no—
512C2×D4—272no—
513C2×D4—272no—
514C2×D4—272no—
515C2×D4—544no—
516C2×D4—548no—
517C22×C4—272no—
518C22×C4—271no—
519C22×C4D3×C3⋊D311yescharacteristic, complemented
520C4⋊C4—31no—
521C4⋊C4—271no—
522C22⋊C4—32no—
523C22⋊C4—272no—
524C22⋊C4—272no—
525C22⋊C4—271no—
526C22⋊C4—271no—
527C42—271no—
528C22×C3—24no—
529C22×C3—24no—
530C22×C3—21no—
531C22×C3—21no—
532C22×C3—24no—
533C22×C3—28no—
534C22×C3—44no—
535C22×C3—44no—
536C22×C3—68no—
537C22×C3—68no—
538C22×C3—68no—
539C22×C3—94no—
540C22×C3—182no—
541C22×C3—182no—
542C22×C3—182no—
543C22×C3—182no—
544C22×C3—182no—
545C22×C3—368no—
546C22×C3#380218yescomplemented
547C22×C3D4×C3⋊D312yescomplemented
548C22×C3C22×D3214yes—
549C22×C3C23×C3⋊D311yescharacteristic
550C2×D3—22no—
551C2×D3—22no—
552C2×D3—22no—
553C2×D3—316no—
554C2×D3—68no—
555C2×D3—68no—
556C2×D3—68no—
557C2×D3—68no—
558C2×D3—68no—
559C2×D3—98no—
560C2×D3—92no—
561C2×D3—1232no—
562C2×D3—188no—
563C2×D3—184no—
564C2×D3—184no—
565C2×D3—181no—
566C2×D3—181no—
567C2×D3—364no—
568C2×D3—364no—
569C2×D3—368no—
570C2×D3—3632no—
571C3×C4—24no—
572C3×C4—21no—
573C3×C4—28no—
574C3×C4—44no—
575C3×C4—68no—
576C3×C4D3×#6718yescomplemented
577C3×C4D4×C3⋊D312yescomplemented
578Dic3—22no—
579Dic3—98no—
580Dic3—92no—
581Dic3—188no—
582Dic3—184no—
583Dic3—184no—
584Dic3—181no—
585Dic3—181no—
586Dic3—364no—
587Dic3—364no—
588C32—24no—
589C32#560914yescomplemented
590C32D4×#6711yescharacteristic, complemented
591C23—32no—
592C23—92no—
593C23—92no—
594C23—184no—
595C23—184no—
596C23—271no—
597C23—362no—
598C23—544no—
599C23—544no—
600C23—1082no—
601C23C2×D3×C3⋊D311yescharacteristic
602D4—64no—
603D4—62no—
604D4—94no—
605D4—184no—
606D4—182no—
607D4—274no—
608D4—544no—
609D4—544no—
610D4—544no—
611D4—1082no—
612C2×C4—22no—
613C2×C4—32no—
614C2×C4—271no—
615C2×C4—271no—
616C2×C4—271no—
617C2×C4—544no—
618C2×C4—542no—
619C2×C4C2×D3×C3⋊D311yescharacteristic
620C2×C4C2×D3×C3⋊D311yescharacteristic
621C2×C3—22no—
622C2×C3—28no—
623C2×C3—24no—
624C2×C3—24no—
625C2×C3—24no—
626C2×C3—48no—
627C2×C3—128no—
628C2×C3—184no—
629C2×C3—362no—
630C2×C3C2×#380214yes—
631C2×C3#6430714yes—
632C2×C3C2×D3×#6714yes—
633C2×C3C2×D4×C3⋊D311yescharacteristic
634C2×C3C2×D4×C3⋊D311yescharacteristic
635C2×C3#6436611yescharacteristic
636D3—42no—
637D3—616no—
638D3—128no—
639D3—182no—
640D3—188no—
641D3—368no—
642C22—21no—
643C22—21no—
644C22—62no—
645C22—62no—
646C22—62no—
647C22—94no—
648C22—182no—
649C22—182no—
650C22—182no—
651C22—182no—
652C22—182no—
653C22—272no—
654C22—368no—
655C22—541no—
656C22—541no—
657C22—1088no—
658C22#8902612yescomplemented
659C22C22×D3×C3⋊D311yescharacteristic
660C4—21no—
661C4—62no—
662C4—272no—
663C4—541no—
664C4—541no—
665C4C3⋊D3×#6712yescomplemented
666C3—24no—
667C3#1059506914yescomplemented
668C3#1059608011yescharacteristic, complemented
669C2—22no—
670C2—122no—
671C2—184no—
672C2—362no—
673C2—542no—
674C2C2×#8902611yescharacteristic
675C2#1172458011yescharacteristic
676C2C2×C3⋊D3×#6711yescharacteristic
subgroupG/H
center, FrattiniC22C22×D3×C3⋊D3
commutator, socle, cosocleC22×C33C24
FittingC22×C33×C4C22
hypercenterC22×C4D3×C3⋊D3
hypocenterC33D42
LCSG ▷ C22×C33 ▷ C33
UCSC1 ◁ C22 ◁ C22×C4

Complements

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

NH ≅ G/Ntype
1. C22×C3×C4⋊(C3⋊D3)C2semidirect
2. C2×C3⋊D3×#67C2semidirect
3. C2×#89026C2semidirect
4. C4×#6312C2semidirect
5. C32×#930C2semidirect
6. #11723634C2semidirect
7. #11723541C2semidirect
8. #11723532C2semidirect
9. #11723529C2semidirect
10. #11723519C2semidirect
11. #11723501C2semidirect
14. C23×C3×C3⋊D3C22semidirect
15. C22×D3×C3⋊D3C22semidirect
16. C22×C33×C4C22semidirect
18. C2×C4×C3⋊(C3⋊D3)C22semidirect
21. C2×C3×C4⋊(C3⋊D3)C22semidirect
22. C2×C3×C4⋊(C3⋊D3)C22semidirect
23. C2×C32×#67C22semidirect
24. C2×C32×D12C22semidirect
26. C2×#6292C22semidirect
27. C2×#6290C22semidirect
28. C2×#6290C22semidirect
29. C2×#6290C22semidirect
30. C2×Dic3×C3⋊D3C22semidirect
32. #88864C22semidirect
33. #88859C22semidirect
34. #88857C22semidirect
35. C4×C3⋊(C3⋊Dic3)C22semidirect
36. C32×(C2×D3)⋊C4C22semidirect
37. C32×C4⋊Dic3C22semidirect
38. #88803C22semidirect
39. #88803C22semidirect
42. C22×C4⋊(C3⋊D3)D3semidirect
56. C3×#930D3semidirect
77. #6312D4semidirect
84. C3×C4⋊(C3⋊D3)D4semidirect
96. C23×C3⋊D3C2×D3semidirect
102. C22×C32×C4C2×D3semidirect
103. C22×C32×C4C2×D3semidirect
115. C2×C4⋊(C3⋊D3)C2×D3semidirect
116. C2×C4⋊(C3⋊D3)C2×D3semidirect
121. C2×C3×#67C2×D3semidirect
126. C2×C3×D12C2×D3semidirect
150. C3×(C2×D3)⋊C4C2×D3semidirect
151. C3×C4⋊Dic3C2×D3semidirect
156. C22×C33C2×D4semidirect
160. C2×C3⋊(C3⋊D3)C2×D4semidirect
167. C2×C3×C3⋊D3C2×D4semidirect
173. C33×C4C2×D4semidirect
176. C3⋊(C3⋊Dic3)C2×D4semidirect
193. #930C3⋊D3semidirect
255. C4⋊(C3⋊D3)#67semidirect
291. C22×C3×C4D32semidirect
292. C22×C3×C4C2×C3⋊D3semidirect
304. C2×#67C2×C3⋊D3semidirect
314. C2×D12C2×C3⋊D3semidirect
331. (C2×D3)⋊C4C2×C3⋊D3semidirect
332. C4⋊Dic3C2×C3⋊D3semidirect
350. C22×C32D3×D4semidirect
351. C22×C32D3×D4semidirect
370. C2×C3⋊D3C2×#67semidirect
387. C32×C4D3×D4semidirect
388. C32×C4C2×#67semidirect
410. C33D42semidirect
519. C22×C4D3×C3⋊D3semidirect
546. C22×C3#3802semidirect
547. C22×C3D4×C3⋊D3semidirect
576. C3×C4D3×#67semidirect
577. C3×C4D4×C3⋊D3semidirect
589. C32#5609semidirect
590. C32D4×#67semidirect
658. C22#89026semidirect
665. C4C3⋊D3×#67semidirect
667. C3#10595069semidirect
668. C3#10596080semidirect

Maximal subgroups

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

subgroupindex
C22×C3×C4⋊(C3⋊D3)2
C2×C3⋊D3×#672
C2×#890262
C4×#63122
C32×#9302
#117236342
#117235412
#117235322
#117235292
#117235192
#117235012
#105960803
#105950693