Finite Group Databasebeta

← #13177508

Subgroups — #13177508

Order 1728.

3000 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D4×C3⋊D3C211yesmaximal, characteristic, complemented
2C2×C3⋊D3×#67C212yesmaximal, complemented
3C2×D3×C4⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
4#11723981C211yesmaximal, characteristic, complemented
5C32×#938C211yesmaximal, characteristic, complemented
6#11723643C212yesmaximal, complemented
7#11723636C212yesmaximal, complemented
8#11723624C212yesmaximal, complemented
9#11723526C211yesmaximal, characteristic, complemented
10C4×#6290C211yesmaximal, characteristic, complemented
11#11723501C211yesmaximal, characteristic, complemented
12#10596080—31nomaximal
13#10595288—34nomaximal
14C23×C3×C3⋊D3C2212yescomplemented
15C22×D3×C3⋊D3C2212yescomplemented
16C2×C33×D4C2211yescharacteristic, complemented
17C2×#6312C2212yescomplemented
18C2×#6312C2212yescomplemented
19C2×C4⋊(C3⋊(C3⋊D3))C2211yescharacteristic, complemented
20C2×C3×#638C2212yescomplemented
21C3×D4×C3⋊D3—24no—
22C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
23C2×C3×C4×C3⋊D3C2211yescharacteristic, complemented
24C2×C32×#67C2212yescomplemented
25C2×C32×C4×D3C2211yescharacteristic, complemented
26C3⋊D3×#67—28no—
27C2×#6292C2212yescomplemented
28C2×#6292C2212yescomplemented
29C2×#6290C2211yescharacteristic
30C2×Dic3×C3⋊D3C2212yescomplemented
31D3×C4⋊(C3⋊D3)—24no—
32C4×C3⋊(C3⋊Dic3)C2211yescharacteristic, complemented
33C32×#217C2212yescomplemented
34C32×C4⋊Dic3C2211yescharacteristic, complemented
35#88806C2211yescharacteristic, complemented
36#88804C2212yescomplemented
37#88803C2211yescharacteristic, complemented
38#88803C2212yescomplemented
39(C2×D3)⋊(C3⋊Dic3)C2211yescharacteristic, complemented
40C2×D4×C3⋊D3—32no—
41C2×D4×C3⋊D3D311yescharacteristic, complemented
42C22×C4⋊(C3⋊D3)—31no—
43C2×C3×D3×D4—34no—
44C2×D3×#67—38no—
45C2×D3×D12—34no—
46C32×#121—31no—
47#64149—31no—
48#64149—34no—
49#64149—64no—
50#64146—32no—
51C4×#638—31no—
52#64104—31no—
53#64102—31no—
54#64093—32no—
55#64091—32no—
56C3×#938D314yescomplemented
57#63983—38no—
58#63977—38no—
59#63971—38no—
60#63909—34no—
61C4×#625—34no—
62#63898—34no—
63C23×C33C2312yes—
64C22×C3⋊(C3⋊D3)C2312yes—
65C22×C3×C3⋊D3—24no—
66C22×C3×C3⋊D3—24no—
67C22×C3×C3⋊D3—42no—
68C22×C3×C3⋊D3C2312yes—
69C22×C3×C3⋊D3C2311yescharacteristic
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—
77#6312—42no—
78C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
79C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
80C4⋊(C3⋊(C3⋊D3))—22no—
81C3×#638—24no—
82C2×C3×C3⋊Dic3C2311yescharacteristic
83C3×C4⋊(C3⋊D3)D414yescomplemented
84C3×C4×C3⋊D3—22no—
85C32×#67—24no—
86C2×C32×Dic3C2311yescharacteristic
87C2×C32×Dic3C2312yes—
88C32×C4×D3—22no—
89#6292—24no—
90#6292—24no—
91#6290D414yescomplemented
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—24no—
100C2×C32×D4—32no—
101C2×C32×D4C2×D314yescomplemented
102C2×C32×D4C2×D311yescharacteristic, complemented
103C22×C32×C4—31no—
104C2×#638—31no—
105C2×#638—32no—
106C2×#638—38no—
107C2×#638—32no—
108C2×#638—38no—
109C2×#638—68no—
110C2×#638—68no—
111C2×#638C2×D312yescomplemented
112D4×C3⋊D3—24no—
113D4×C3⋊D3—68no—
114C2×C4⋊(C3⋊D3)—32no—
115C2×C4⋊(C3⋊D3)—32no—
116C2×C4⋊(C3⋊D3)—31no—
117C2×C4⋊(C3⋊D3)—34no—
118C2×C4⋊(C3⋊D3)—64no—
119C2×C4⋊(C3⋊D3)—64no—
120C2×C4⋊(C3⋊D3)C2×D311yescharacteristic
121C2×C4×C3⋊D3—32no—
122C2×C4×C3⋊D3C2×D311yescharacteristic, complemented
123C2×C3×#67—38no—
124C2×C3×#67C2×D318yescomplemented
125C3×D3×D4—616no—
126C2×C3×D12—34no—
127C2×C3×C4×D3—34no—
128C2×C3×C4×D3C2×D314yescomplemented
129D3×#67—632no—
130C2×#626—38no—
131C2×#626—38no—
132C2×#625—34no—
133C2×D3×Dic3—38no—
134D3×D12—616no—
135C32×C4⋊C4—31no—
136C32×C22⋊C4—32no—
137#3757—31no—
138#3752—31no—
139#3752—32no—
140#3752—32no—
141#3750—31no—
142C4×C3⋊Dic3—31no—
143C4×C3⋊Dic3—34no—
144C4×C3⋊Dic3—64no—
145C3×#217C2×D318yescomplemented
146C3×C4⋊Dic3C2×D314yescomplemented
147#3724—34no—
148#3722—38no—
149(C2×D3)⋊Dic3—34no—
150(C2×D3)⋊Dic3—38no—
151(C2×D3)⋊Dic3—34no—
152C22×C33—22no—
153C22×C33—22no—
154C22×C33—22no—
155C22×C33C2411yescharacteristic
156C2×C3⋊(C3⋊D3)—22no—
157C2×C3⋊(C3⋊D3)—22no—
158C2×C3⋊(C3⋊D3)—22no—
159C2×C3×C3⋊D3—22no—
160C2×C3×C3⋊D3—21no—
161C2×C3×C3⋊D3—22no—
162C2×C3×C3⋊D3—21no—
163C2×C3×C3⋊D3—48no—
164C2×C3×C3⋊D3C2×D412yescomplemented
165C2×C3×C3⋊D3C2×D414yescomplemented
166C2×C32×D3—21no—
167C2×C32×D3—21no—
168C2×C32×D3C2×D412yescomplemented
169D3×C3⋊D3—48no—
170C33×C4C2×D412yescomplemented
171C3⋊(C3⋊Dic3)—21no—
172C3⋊(C3⋊Dic3)C2×D412yescomplemented
173C3×C3⋊Dic3—21no—
174C32×Dic3—22no—
175C32×Dic3—21no—
176C22×C3×D4—91no—
177C22×#67—92no—
178C2×D3×D4—34no—
179C2×D3×D4—98no—
180C2×D3×D4—91no—
181C22×D12—94no—
182C3×#121—34no—
183#953—92no—
184#940—94no—
185#940—91no—
186#940—184no—
187#939—92no—
188#938C3⋊D311yescharacteristic, complemented
189#937—98no—
190#937—92no—
191D4×Dic3—91no—
192#930—91no—
193C4×#67—94no—
194C4×#67—91no—
195#895—94no—
196#893—94no—
197#884—98no—
198#882—98no—
199C23×C32—28no—
200C23×C32—31no—
201C23×C32C22×D318yes—
202C23×C32C22×D312yes—
203C22×C3⋊D3—24no—
204C22×C3⋊D3—24no—
205C22×C3⋊D3—32no—
206C22×C3⋊D3—38no—
207C22×C3⋊D3—42no—
208C22×C3⋊D3—68no—
209C22×C3⋊D3—64no—
210C22×C3⋊D3—64no—
211C22×C3⋊D3—122no—
212C22×C3⋊D3C22×D311yescharacteristic
213C22×C3⋊D3C22×D312yes—
214C22×C3×D3—38no—
215C22×C3×D3—34no—
216C22×C3×D3—616no—
217C22×C3×D3—616no—
218C22×C3×D3—128no—
219C22×C3×D3C22×D314yes—
220C2×D32—616no—
221C2×D32—616no—
222C2×D32—128no—
223C32×D4—22no—
224C32×D4—28no—
225C32×D4—48no—
226C32×D4—64no—
227C2×C32×C4—24no—
228C2×C32×C4—31no—
229C2×C32×C4—32no—
230C2×C32×C4—62no—
231C2×C32×C4C22×D314yes—
232C2×C32×C4C22×D311yescharacteristic
233#638—24no—
234#638—34no—
235#638—64no—
236#638—616no—
237#638—1216no—
238#638—122no—
239#638—128no—
240#638—1216no—
241C2×C3⋊Dic3—31no—
242C2×C3⋊Dic3—31no—
243C2×C3⋊Dic3—34no—
244C2×C3⋊Dic3—34no—
245C2×C3⋊Dic3—64no—
246C2×C3⋊Dic3—64no—
247C2×C3⋊Dic3C22×D311yescharacteristic
248C4⋊(C3⋊D3)—64no—
249C4⋊(C3⋊D3)—64no—
250C4⋊(C3⋊D3)—62no—
251C4⋊(C3⋊D3)—68no—
252C4⋊(C3⋊D3)—128no—
253C4⋊(C3⋊D3)#6714yescomplemented
254C4×C3⋊D3—22no—
255C4×C3⋊D3—64no—
256C3×#67—216no—
257C3×#67—616no—
258C2×C3×Dic3—34no—
259C2×C3×Dic3C22×D318yes—
260C2×C3×Dic3C22×D314yes—
261C3×D12—316no—
262C3×C4×D3—28no—
263C3×C4×D3—68no—
264#626—616no—
265#626—616no—
266#625—316no—
267D3×Dic3—616no—
268D42—271noSylow
269C2×C33—42no—
270C2×C33C22×D411yescharacteristic
271C2×C33C22×D411yescharacteristic
272C2×C33H(5,𝔽2)11yescharacteristic
273C3⋊(C3⋊D3)—42no—
274C3×C3⋊D3—24no—
275C3×C3⋊D3—22no—
276C32×D3—22no—
277C24×C3—92no—
278C23×D3—38no—
279C23×D3—98no—
280C23×D3—92no—
281C2×C3×D4—24no—
282C2×C3×D4—38no—
283C2×C3×D4—92no—
284C2×C3×D4—91no—
285C2×C3×D4—184no—
286C2×C3×D4D3214yescomplemented
287C2×C3×D4C2×C3⋊D311yescharacteristic, complemented
288C22×C3×C4—34no—
289C22×C3×C4—91no—
290C2×#67—38no—
291C2×#67—94no—
292C2×#67—91no—
293C2×#67—98no—
294C2×#67—92no—
295C2×#67—98no—
296C2×#67—92no—
297C2×#67—92no—
298C2×#67—92no—
299C2×#67—188no—
300C2×#67—188no—
301C2×#67—188no—
302C2×#67C2×C3⋊D312yescomplemented
303C22×Dic3—92no—
304D3×D4—616no—
305D3×D4—184no—
306D3×D4—1832no—
307C2×D12—34no—
308C2×D12—98no—
309C2×D12—98no—
310C2×D12—94no—
311C2×D12—91no—
312C2×D12—184no—
313C2×D12—1816no—
314C2×C4×D3—34no—
315C2×C4×D3—98no—
316C2×C4×D3C2×C3⋊D311yescharacteristic, complemented
317C3×C4⋊C4—34no—
318C3×C22⋊C4—38no—
319#217—94no—
320#217—91no—
321#217—92no—
322#217C2×C3⋊D312yescomplemented
323(C2×D3)⋊C4—98no—
324(C2×D3)⋊C4—94no—
325(C2×D3)⋊C4—98no—
326(C2×D3)⋊C4—91no—
327(C2×D3)⋊C4—92no—
328C4⋊Dic3C2×C3⋊D311yescharacteristic, complemented
329Dic3⋊C4—94no—
330Dic3⋊C4—91no—
331C4×Dic3—94no—
332C4×Dic3—91no—
333C4×Dic3—184no—
334C22×C32—22no—
335C22×C32—22no—
336C22×C32—22no—
337C22×C32—24no—
338C22×C32—28no—
339C22×C32—28no—
340C22×C32—28no—
341C22×C32—32no—
342C22×C32—48no—
343C22×C32—48no—
344C22×C32—48no—
345C22×C32—61no—
346C22×C32—61no—
347C22×C32C23×D314yes—
348C22×C32C23×D311yescharacteristic
349C2×C3⋊D3—22no—
350C2×C3⋊D3—21no—
351C2×C3⋊D3—22no—
352C2×C3⋊D3—21no—
353C2×C3⋊D3—48no—
354C2×C3⋊D3—62no—
355C2×C3⋊D3—62no—
356C2×C3⋊D3—62no—
357C2×C3⋊D3—68no—
358C2×C3⋊D3—68no—
359C2×C3⋊D3—68no—
360C2×C3⋊D3—128no—
361C2×C3⋊D3—128no—
362C2×C3⋊D3—128no—
363C2×C3⋊D3—128no—
364C2×C3⋊D3D3×D412yescomplemented
365C2×C3⋊D3C2×#6714yescomplemented
366C2×C3×D3—24no—
367C2×C3×D3—24no—
368C2×C3×D3—38no—
369C2×C3×D3—316no—
370C2×C3×D3—68no—
371C2×C3×D3—64no—
372C2×C3×D3—68no—
373C2×C3×D3—64no—
374C2×C3×D3—1232no—
375C2×C3×D3D3×D418yescomplemented
376D32—1232no—
377C32×C4—28no—
378C32×C4—62no—
379C32×C4—61no—
380C32×C4D3×D418yescomplemented
381C32×C4C2×#6712yescomplemented
382C3⋊Dic3—21no—
383C3⋊Dic3—32no—
384C3⋊Dic3—38no—
385C3⋊Dic3—68no—
386C3⋊Dic3—68no—
387C3⋊Dic3—61no—
388C3⋊Dic3—64no—
389C3×Dic3—28no—
390C3×Dic3—24no—
391C3×Dic3—64no—
392C22×D4—91no—
393C22×D4—271no—
394C22×D4—272no—
395#127—271no—
396#121—31no—
397#121—272no—
398#121—271no—
399#120—272no—
400#120—272no—
401C4×D4—271no—
402C4×D4—271no—
403C33D4211yescharacteristic, complemented, Sylow
404C23×C3—28no—
405C23×C3—34no—
406C23×C3—92no—
407C23×C3—91no—
408C23×C3—184no—
409C23×C3—184no—
410C23×C3—362no—
411C23×C3C2×D3218yes—
412C23×C3C22×C3⋊D312yes—
413C22×D3—34no—
414C22×D3—38no—
415C22×D3—616no—
416C22×D3—616no—
417C22×D3—98no—
418C22×D3—92no—
419C22×D3—128no—
420C22×D3—188no—
421C22×D3—184no—
422C22×D3—1816no—
423C22×D3—1816no—
424C22×D3—184no—
425C22×D3—362no—
426C22×D3—368no—
427C22×D3C22×C3⋊D311yescharacteristic
428C3×D4—28no—
429C3×D4—22no—
430C3×D4—48no—
431C3×D4—616no—
432C3×D4—94no—
433C3×D4—184no—
434C2×C3×C4—24no—
435C2×C3×C4—34no—
436C2×C3×C4—38no—
437C2×C3×C4—68no—
438C2×C3×C4—91no—
439C2×C3×C4—182no—
440C2×C3×C4C2×D3214yes—
441C2×C3×C4C22×C3⋊D311yescharacteristic
442#67—24no—
443#67—616no—
444#67—916no—
445#67—94no—
446#67—184no—
447#67—184no—
448#67—184no—
449#67—1816no—
450#67—3616no—
451#67—368no—
452#67—362no—
453#67—3616no—
454C2×Dic3—34no—
455C2×Dic3—94no—
456C2×Dic3—91no—
457C2×Dic3—94no—
458C2×Dic3—91no—
459C2×Dic3—184no—
460C2×Dic3—184no—
461C2×Dic3—184no—
462C2×Dic3C22×C3⋊D311yescharacteristic
463C2×Dic3C22×C3⋊D312yes—
464D12—316no—
465D12—1816no—
466D12—1816no—
467D12—188no—
468D12—182no—
469D12—368no—
470C4×D3—22no—
471C4×D3—68no—
472C4×D3—1816no—
473C2×C32—24no—
474C2×C32—24no—
475C2×C32—24no—
476C2×C32—42no—
477C2×C32—48no—
478C2×C32—62no—
479C2×C32—88no—
480C2×C32C2×D3×D414yes—
481C2×C32C2×D3×D414yes—
482C2×C32C2×D3×D411yescharacteristic
483C2×C32#100411yescharacteristic
484C2×C32#100914yes—
485C2×C32C22×#6711yescharacteristic
486C3⋊D3—22no—
487C3⋊D3—24no—
488C3⋊D3—122no—
489C3⋊D3—128no—
490C3⋊D3—248no—
491C3×D3—28no—
492C3×D3—616no—
493C3×D3—68no—
494C24—92no—
495C24—272no—
496C2×D4—32no—
497C2×D4—92no—
498C2×D4—91no—
499C2×D4—184no—
500C2×D4—272no—
501C2×D4—272no—
502C2×D4—271no—
503C2×D4—272no—
504C2×D4—272no—
505C2×D4—271no—
506C2×D4—544no—
507C2×D4—548no—
508C2×D4D3×C3⋊D311yescharacteristic, complemented
509C22×C4—31no—
510C22×C4—91no—
511C22×C4—272no—
512C4⋊C4—31no—
513C4⋊C4—271no—
514C22⋊C4—32no—
515C22⋊C4—272no—
516C22⋊C4—271no—
517C22⋊C4—272no—
518C22⋊C4—271no—
519C42—271no—
520C22×C3—28no—
521C22×C3—28no—
522C22×C3—28no—
523C22×C3—22no—
524C22×C3—22no—
525C22×C3—22no—
526C22×C3—24no—
527C22×C3—38no—
528C22×C3—48no—
529C22×C3—48no—
530C22×C3—48no—
531C22×C3—64no—
532C22×C3—64no—
533C22×C3—92no—
534C22×C3—94no—
535C22×C3—182no—
536C22×C3—181no—
537C22×C3—182no—
538C22×C3—181no—
539C22×C3—368no—
540C22×C3C22×D3214yes—
541C22×C3C23×C3⋊D311yescharacteristic
542C2×D3—21no—
543C2×D3—21no—
544C2×D3—38no—
545C2×D3—316no—
546C2×D3—68no—
547C2×D3—64no—
548C2×D3—68no—
549C2×D3—64no—
550C2×D3—1232no—
551C2×D3—188no—
552C2×D3—188no—
553C2×D3—188no—
554C2×D3—182no—
555C2×D3—182no—
556C2×D3—182no—
557C2×D3—368no—
558C2×D3—368no—
559C2×D3—368no—
560C2×D3—368no—
561C2×D3—3632no—
562C2×D3D4×C3⋊D312yescomplemented
563C3×C4—28no—
564C3×C4—68no—
565C3×C4—64no—
566C3×C4—181no—
567C3×C4D3×#6718yescomplemented
568C3×C4D4×C3⋊D312yescomplemented
569Dic3—21no—
570Dic3—22no—
571Dic3—64no—
572Dic3—98no—
573Dic3—92no—
574Dic3—188no—
575Dic3—188no—
576Dic3—184no—
577Dic3—181no—
578C32—24no—
579C32#560914yescomplemented
580C32D4×#6711yescharacteristic, complemented
581C23—31no—
582C23—91no—
583C23—92no—
584C23—184no—
585C23—184no—
586C23—272no—
587C23—362no—
588C23—544no—
589C23—544no—
590C23—1082no—
591C23C2×D3×C3⋊D312yes—
592D4—22no—
593D4—64no—
594D4—94no—
595D4—184no—
596D4—274no—
597D4—544no—
598D4—544no—
599D4—544no—
600D4—542no—
601D4—1082no—
602C2×C4—31no—
603C2×C4—32no—
604C2×C4—62no—
605C2×C4—91no—
606C2×C4—182no—
607C2×C4—271no—
608C2×C4—271no—
609C2×C4—544no—
610C2×C4C2×D3×C3⋊D311yescharacteristic
611C2×C3—24no—
612C2×C3—24no—
613C2×C3—24no—
614C2×C3—48no—
615C2×C3—42no—
616C2×C3—68no—
617C2×C3—88no—
618C2×C3—184no—
619C2×C3—182no—
620C2×C3D32×D414yes—
621C2×C3#6431414yes—
622C2×C3C2×D3×#6714yes—
623C2×C3C2×D4×C3⋊D311yescharacteristic
624C2×C3C2×D4×C3⋊D311yescharacteristic
625C2×C3#6436611yescharacteristic
626D3—22no—
627D3—68no—
628D3—616no—
629D3—368no—
630D3—362no—
631D3—728no—
632C22—22no—
633C22—22no—
634C22—22no—
635C22—32no—
636C22—61no—
637C22—61no—
638C22—92no—
639C22—94no—
640C22—182no—
641C22—181no—
642C22—182no—
643C22—181no—
644C22—368no—
645C22—542no—
646C22—542no—
647C22—542no—
648C22—1088no—
649C22C22×D3×C3⋊D311yescharacteristic
650C4—62no—
651C4—61no—
652C4—181no—
653C4—272no—
654C4—541no—
655C4C3⋊D3×#6712yescomplemented
656C3—24no—
657C3#1059528814yescomplemented
658C3#1059608011yescharacteristic, complemented
659C2—42no—
660C2—62no—
661C2—182no—
662C2—184no—
663C2—1082no—
664C2D3×D4×C3⋊D311yescharacteristic
665C2#1172458911yescharacteristic
666C2C2×C3⋊D3×#6711yescharacteristic
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×C3×D4×C3⋊D3C2semidirect
2. C2×C3⋊D3×#67C2semidirect
3. C2×D3×C4⋊(C3⋊D3)C2semidirect
4. #11723981C2semidirect
5. C32×#938C2semidirect
6. #11723643C2semidirect
7. #11723636C2semidirect
8. #11723624C2semidirect
9. #11723526C2semidirect
10. C4×#6290C2semidirect
11. #11723501C2semidirect
14. C23×C3×C3⋊D3C22semidirect
15. C22×D3×C3⋊D3C22semidirect
16. C2×C33×D4C22semidirect
17. C2×#6312C22semidirect
18. C2×#6312C22semidirect
19. C2×C4⋊(C3⋊(C3⋊D3))C22semidirect
20. C2×C3×#638C22semidirect
23. C2×C3×C4×C3⋊D3C22semidirect
24. C2×C32×#67C22semidirect
25. C2×C32×C4×D3C22semidirect
27. C2×#6292C22semidirect
28. C2×#6292C22semidirect
30. C2×Dic3×C3⋊D3C22semidirect
32. C4×C3⋊(C3⋊Dic3)C22semidirect
33. C32×#217C22semidirect
34. C32×C4⋊Dic3C22semidirect
35. #88806C22semidirect
36. #88804C22semidirect
37. #88803C22semidirect
38. #88803C22semidirect
39. (C2×D3)⋊(C3⋊Dic3)C22semidirect
41. C2×D4×C3⋊D3D3semidirect
56. C3×#938D3semidirect
83. C3×C4⋊(C3⋊D3)D4semidirect
91. #6290D4semidirect
96. C23×C3⋊D3C2×D3semidirect
101. C2×C32×D4C2×D3semidirect
102. C2×C32×D4C2×D3semidirect
111. C2×#638C2×D3semidirect
122. C2×C4×C3⋊D3C2×D3semidirect
124. C2×C3×#67C2×D3semidirect
128. C2×C3×C4×D3C2×D3semidirect
145. C3×#217C2×D3semidirect
146. C3×C4⋊Dic3C2×D3semidirect
164. C2×C3×C3⋊D3C2×D4semidirect
165. C2×C3×C3⋊D3C2×D4semidirect
168. C2×C32×D3C2×D4semidirect
170. C33×C4C2×D4semidirect
172. C3⋊(C3⋊Dic3)C2×D4semidirect
188. #938C3⋊D3semidirect
253. C4⋊(C3⋊D3)#67semidirect
286. C2×C3×D4D32semidirect
287. C2×C3×D4C2×C3⋊D3semidirect
302. C2×#67C2×C3⋊D3semidirect
316. C2×C4×D3C2×C3⋊D3semidirect
322. #217C2×C3⋊D3semidirect
328. C4⋊Dic3C2×C3⋊D3semidirect
364. C2×C3⋊D3D3×D4semidirect
365. C2×C3⋊D3C2×#67semidirect
375. C2×C3×D3D3×D4semidirect
380. C32×C4D3×D4semidirect
381. C32×C4C2×#67semidirect
403. C33D42semidirect
508. C2×D4D3×C3⋊D3semidirect
562. C2×D3D4×C3⋊D3semidirect
567. C3×C4D3×#67semidirect
568. C3×C4D4×C3⋊D3semidirect
579. C32#5609semidirect
580. C32D4×#67semidirect
655. C4C3⋊D3×#67semidirect
657. C3#10595288semidirect
658. C3#10596080semidirect

Maximal subgroups

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

subgroupindex
C2×C3×D4×C3⋊D32
C2×C3⋊D3×#672
C2×D3×C4⋊(C3⋊D3)2
#117239812
C32×#9382
#117236432
#117236362
#117236242
#117235262
C4×#62902
#117235012
#105960803
#105952883