Finite Group Databasebeta

← #13177533

Subgroups — #13177533

Order 1728.

3512 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×C3⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
2C2×#89039C212yesmaximal, complemented
3C2×D3×C4⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
4C3×#64149C211yesmaximal, characteristic, complemented
5C32×#938C211yesmaximal, characteristic, complemented
6#11723643C212yesmaximal, complemented
7#11723639C212yesmaximal, complemented
8#11723623C212yesmaximal, complemented
9#11723532C211yesmaximal, characteristic, complemented
10C4×#6291C211yesmaximal, characteristic, complemented
11#11723494C211yesmaximal, characteristic, complemented
12#10596080—31nomaximal
13#10595297—34nomaximal
14C23×C3⋊(C3⋊D3)C2212yescomplemented
15C22×D3×C3⋊D3C2212yescomplemented
16C2×C33×D4C2211yescharacteristic, complemented
17C2×#6312C2212yescomplemented
18D4×C3⋊(C3⋊D3)—24no—
19C2×C4⋊(C3⋊(C3⋊D3))C2211yescharacteristic
20C2×C4×C3⋊(C3⋊D3)C2211yescharacteristic, complemented
21C2×C3×#638C2212yescomplemented
22C2×C3×#638C2212yescomplemented
23C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
24C2×C32×#67C2212yescomplemented
25C2×C32×C4×D3C2211yescharacteristic, complemented
26#89039—28no—
27C2×#6292C2212yescomplemented
28C2×#6292C2212yescomplemented
29C2×#6291C2211yescharacteristic
30C2×#6289C2212yescomplemented
31D3×C4⋊(C3⋊D3)—24no—
32C3×C4×C3⋊Dic3C2211yescharacteristic, complemented
33C32×#217C2212yescomplemented
34C32×C4⋊Dic3C2211yescharacteristic, complemented
35#88807C2211yescharacteristic, complemented
36#88804C2211yescharacteristic, complemented
37#88804C2212yescomplemented
38#88803C2212yescomplemented
39(C2×D3)⋊(C3⋊Dic3)C2211yescharacteristic, complemented
40C2×D4×C3⋊D3—31no—
41C2×D4×C3⋊D3—32no—
42C2×D4×C3⋊D3—34no—
43C2×D4×C3⋊D3—64no—
44C22×C4⋊(C3⋊D3)—31no—
45C2×#3811—38no—
46C2×D3×D12—34no—
47C32×#121—31no—
48#64149D311yescharacteristic, complemented
49#64146—32no—
50C4×#638—31no—
51#64104—31no—
52#64102—31no—
53#64093—32no—
54#64091—32no—
55C3×#940—34no—
56C3×#938D314yescomplemented
57#63983—38no—
58#63981—38no—
59#63958—38no—
60#63916—34no—
61C4×#626—34no—
62#63894—34no—
63C23×C33C2312yes—
64C22×C3⋊(C3⋊D3)—24no—
65C22×C3⋊(C3⋊D3)—24no—
66C22×C3⋊(C3⋊D3)—42no—
67C22×C3⋊(C3⋊D3)C2312yes—
68C22×C3⋊(C3⋊D3)C2311yescharacteristic
69C22×C3×C3⋊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)C2311yescharacteristic
78C4⋊(C3⋊(C3⋊D3))D414yescomplemented
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
87C2×C32×Dic3C2312yes—
88C32×C4×D3—22no—
89#6292—24no—
90#6292—24no—
91#6291D414yescomplemented
92#6289—24no—
93#5717—91no—
94#5609—94no—
95C23×C3⋊D3—32no—
96C23×C3⋊D3—38no—
97C23×C3⋊D3—32no—
98C23×C3⋊D3—68no—
99C22×D32—38no—
100C2×C32×D4—24no—
101C2×C32×D4—32no—
102C2×C32×D4C2×D314yescomplemented
103C2×C32×D4C2×D311yescharacteristic, complemented
104C22×C32×C4—31no—
105C2×#638—32no—
106C2×#638—38no—
107C2×#638—31no—
108C2×#638—68no—
109C2×#638C2×D312yescomplemented
110C2×#638C2×D312yescomplemented
111D4×C3⋊D3—64no—
112D4×C3⋊D3—616no—
113D4×C3⋊D3—68no—
114D4×C3⋊D3—632no—
115C2×C4⋊(C3⋊D3)—31no—
116C2×C4⋊(C3⋊D3)—34no—
117C2×C4⋊(C3⋊D3)—32no—
118C2×C4⋊(C3⋊D3)—32no—
119C2×C4⋊(C3⋊D3)—64no—
120C2×C4⋊(C3⋊D3)—64no—
121C2×C4⋊(C3⋊D3)C2×D311yescharacteristic, complemented
122C2×C4×C3⋊D3—31no—
123C2×C4×C3⋊D3—34no—
124C2×C4×C3⋊D3—32no—
125C2×C4×C3⋊D3—64no—
126C2×C3×#67—38no—
127C2×C3×#67—38no—
128C2×C3×#67C2×D318yescomplemented
129C2×C3×D12—34no—
130C2×C3×C4×D3C2×D314yescomplemented
131#3811—632no—
132C2×#626—34no—
133C2×#626—38no—
134C2×#626—38no—
135C2×#624—38no—
136D3×D12—616no—
137C32×C4⋊C4—31no—
138C32×C22⋊C4—32no—
139#3757—31no—
140#3752—32no—
141#3752—31no—
142#3752—32no—
143#3750—31no—
144C4×C3⋊Dic3C2×D311yescharacteristic, complemented
145C3×#217C2×D318yescomplemented
146C3×C4⋊Dic3C2×D314yescomplemented
147C3×C4×Dic3—34no—
148Dic3⋊Dic3—34no—
149#3722—38no—
150#3722—34no—
151(C2×D3)⋊Dic3—34no—
152(C2×D3)⋊Dic3—38no—
153C22×C33—22no—
154C22×C33—22no—
155C22×C33—22no—
156C22×C33C2411yescharacteristic
157C2×C3⋊(C3⋊D3)—21no—
158C2×C3⋊(C3⋊D3)—22no—
159C2×C3⋊(C3⋊D3)—21no—
160C2×C3⋊(C3⋊D3)—22no—
161C2×C3⋊(C3⋊D3)—48no—
162C2×C3⋊(C3⋊D3)C2×D412yescomplemented
163C2×C3⋊(C3⋊D3)C2×D414yescomplemented
164C2×C3×C3⋊D3—22no—
165C2×C3×C3⋊D3—22no—
166C2×C3×C3⋊D3—22no—
167C2×C32×D3—21no—
168C2×C32×D3—21no—
169C2×C32×D3C2×D412yescomplemented
170D3×C3⋊D3—48no—
171C33×C4C2×D412yescomplemented
172C3⋊(C3⋊Dic3)—21no—
173C3×C3⋊Dic3—21no—
174C3×C3⋊Dic3C2×D412yescomplemented
175C32×Dic3—22no—
176C32×Dic3—21no—
177C2×D3×D4—98no—
178C2×D3×D4—94no—
179C2×D3×D4—91no—
180C2×D3×D4—92no—
181C2×D3×D4—91no—
182C2×D3×D4—184no—
183C22×D12—94no—
184C3×#127—91no—
185C3×#121—34no—
186#940—34no—
187#938—92no—
188#938—91no—
189#938C3⋊D311yescharacteristic, complemented
190#937—98no—
191#937—92no—
192#937—92no—
193C4×#67—94no—
194#895—94no—
195#893—94no—
196#884—98no—
197#882—98no—
198C4×D12—91no—
199C4×D12—91no—
200C23×C32—28no—
201C23×C32—31no—
202C23×C32C22×D318yes—
203C23×C32C22×D312yes—
204C22×C3⋊D3—32no—
205C22×C3⋊D3—31no—
206C22×C3⋊D3—38no—
207C22×C3⋊D3—34no—
208C22×C3⋊D3—64no—
209C22×C3⋊D3—68no—
210C22×C3⋊D3—64no—
211C22×C3⋊D3—64no—
212C22×C3⋊D3—64no—
213C22×C3⋊D3—616no—
214C22×C3⋊D3—64no—
215C22×C3⋊D3—632no—
216C22×C3⋊D3—616no—
217C22×C3⋊D3—1216no—
218C22×C3⋊D3—122no—
219C22×C3⋊D3—122no—
220C22×C3⋊D3—128no—
221C22×C3⋊D3—1216no—
222C22×C3⋊D3C22×D312yes—
223C22×C3×D3—38no—
224C22×C3×D3C22×D314yes—
225C2×D32—616no—
226C2×D32—616no—
227C2×D32—128no—
228C32×D4—216no—
229C32×D4—28no—
230C32×D4—22no—
231C32×D4—64no—
232C2×C32×C4—24no—
233C2×C32×C4—31no—
234C2×C32×C4—32no—
235C2×C32×C4—62no—
236C2×C32×C4C22×D314yes—
237C2×C32×C4C22×D311yescharacteristic
238#638—24no—
239#638—34no—
240#638—42no—
241#638—64no—
242#638—616no—
243#638—632no—
244C2×C3⋊Dic3—31no—
245C2×C3⋊Dic3—34no—
246C2×C3⋊Dic3—64no—
247C2×C3⋊Dic3C22×D311yescharacteristic
248C2×C3⋊Dic3C22×D311yescharacteristic
249C4⋊(C3⋊D3)—22no—
250C4⋊(C3⋊D3)—34no—
251C4⋊(C3⋊D3)—316no—
252C4⋊(C3⋊D3)—616no—
253C4⋊(C3⋊D3)—64no—
254C4⋊(C3⋊D3)—64no—
255C4×C3⋊D3—616no—
256C4×C3⋊D3—68no—
257C4×C3⋊D3—62no—
258C4×C3⋊D3—64no—
259C3×#67—216no—
260C3×#67—616no—
261C3×#67—128no—
262C2×C3×Dic3—34no—
263C2×C3×Dic3—34no—
264C2×C3×Dic3C22×D318yes—
265C2×C3×Dic3C22×D314yes—
266C3×D12—68no—
267C3×C4×D3—28no—
268#626—316no—
269#626—616no—
270#626—616no—
271#624—616no—
272D42—271noSylow
273C2×C33—42no—
274C2×C33C22×D411yescharacteristic
275C2×C33C22×D411yescharacteristic
276C2×C33H(5,𝔽2)11yescharacteristic
277C3⋊(C3⋊D3)—22no—
278C3⋊(C3⋊D3)—24no—
279C3×C3⋊D3—42no—
280C32×D3—22no—
281C23×D3—98no—
282C23×D3—98no—
283C23×D3—92no—
284C23×D3—92no—
285C23×D3—188no—
286C2×C3×D4—24no—
287C2×C3×D4—38no—
288C2×C3×D4—92no—
289C2×C3×D4—92no—
290C2×C3×D4—91no—
291C2×C3×D4D3214yescomplemented
292C2×C3×D4C2×C3⋊D311yescharacteristic, complemented
293C22×C3×C4—34no—
294C2×#67—38no—
295C2×#67—38no—
296C2×#67—94no—
297C2×#67—98no—
298C2×#67—92no—
299C2×#67—92no—
300C2×#67—92no—
301C2×#67—188no—
302C2×#67C2×C3⋊D312yescomplemented
303D3×D4—184no—
304D3×D4—188no—
305D3×D4—1816no—
306D3×D4—184no—
307D3×D4—1832no—
308D3×D4—1832no—
309C2×D12—34no—
310C2×D12—91no—
311C2×D12—94no—
312C2×D12—91no—
313C2×D12—98no—
314C2×D12—98no—
315C2×D12—184no—
316C2×D12—1816no—
317C2×C4×D3—98no—
318C2×C4×D3—94no—
319C2×C4×D3—91no—
320C2×C4×D3—92no—
321C2×C4×D3—184no—
322C2×C4×D3C2×C3⋊D311yescharacteristic, complemented
323C3×C4⋊C4—34no—
324C3×C22⋊C4—38no—
325C3×C42—91no—
326#217—94no—
327#217—92no—
328#217C2×C3⋊D312yescomplemented
329(C2×D3)⋊C4—94no—
330(C2×D3)⋊C4—98no—
331(C2×D3)⋊C4—98no—
332(C2×D3)⋊C4—91no—
333(C2×D3)⋊C4—91no—
334(C2×D3)⋊C4—92no—
335C4⋊Dic3—91no—
336C4⋊Dic3C2×C3⋊D311yescharacteristic, complemented
337Dic3⋊C4—94no—
338C4×Dic3—34no—
339C22×C32—216no—
340C22×C32—22no—
341C22×C32—28no—
342C22×C32—22no—
343C22×C32—22no—
344C22×C32—24no—
345C22×C32—28no—
346C22×C32—28no—
347C22×C32—32no—
348C22×C32—48no—
349C22×C32—48no—
350C22×C32—61no—
351C22×C32—61no—
352C22×C32C23×D314yes—
353C22×C32C23×D311yescharacteristic
354C2×C3⋊D3—22no—
355C2×C3⋊D3—22no—
356C2×C3⋊D3—22no—
357C2×C3⋊D3—34no—
358C2×C3⋊D3—32no—
359C2×C3⋊D3—38no—
360C2×C3⋊D3—316no—
361C2×C3⋊D3—68no—
362C2×C3⋊D3—616no—
363C2×C3⋊D3—68no—
364C2×C3⋊D3—68no—
365C2×C3⋊D3—64no—
366C2×C3⋊D3—62no—
367C2×C3⋊D3—61no—
368C2×C3⋊D3—61no—
369C2×C3⋊D3—62no—
370C2×C3⋊D3—64no—
371C2×C3⋊D3—68no—
372C2×C3⋊D3—68no—
373C2×C3⋊D3—128no—
374C2×C3⋊D3—128no—
375C2×C3⋊D3—128no—
376C2×C3⋊D3—128no—
377C2×C3⋊D3—1232no—
378C2×C3⋊D3—1264no—
379C2×C3×D3—24no—
380C2×C3×D3—24no—
381C2×C3×D3—68no—
382C2×C3×D3—68no—
383C2×C3×D3—68no—
384C2×C3×D3D3×D418yescomplemented
385D32—1232no—
386C32×C4—28no—
387C32×C4—62no—
388C32×C4—61no—
389C32×C4D3×D418yescomplemented
390C32×C4D3×D412yescomplemented
391C3⋊Dic3—21no—
392C3⋊Dic3—68no—
393C3⋊Dic3—64no—
394C3⋊Dic3—61no—
395C3⋊Dic3D3×D412yescomplemented
396C3×Dic3—28no—
397C3×Dic3—24no—
398C3×Dic3—38no—
399C3×Dic3—64no—
400C22×D4—271no—
401C22×D4—272no—
402C22×D4—271no—
403#127—91no—
404#121—31no—
405#121—272no—
406#121—271no—
407#120—272no—
408#120—272no—
409C4×D4—271no—
410C4×D4—271no—
411C33D4211yescharacteristic, complemented, Sylow
412C23×C3—28no—
413C23×C3—34no—
414C23×C3—92no—
415C23×C3C2×D3218yes—
416C23×C3C22×C3⋊D312yes—
417C22×D3—38no—
418C22×D3—94no—
419C22×D3—98no—
420C22×D3—92no—
421C22×D3—91no—
422C22×D3—184no—
423C22×D3—188no—
424C22×D3—184no—
425C22×D3—1816no—
426C22×D3—1816no—
427C22×D3—1816no—
428C22×D3—184no—
429C22×D3—184no—
430C22×D3—1816no—
431C22×D3—1832no—
432C22×D3—184no—
433C22×D3—3616no—
434C22×D3—362no—
435C22×D3—368no—
436C22×D3—368no—
437C22×D3—362no—
438C22×D3—3616no—
439C22×D3C22×C3⋊D311yescharacteristic
440C3×D4—216no—
441C3×D4—28no—
442C3×D4—22no—
443C3×D4—616no—
444C3×D4—184no—
445C3×D4—182no—
446C3×D4—362no—
447C2×C3×C4—24no—
448C2×C3×C4—34no—
449C2×C3×C4—38no—
450C2×C3×C4—68no—
451C2×C3×C4—91no—
452C2×C3×C4—91no—
453C2×C3×C4C2×D3214yes—
454C2×C3×C4C22×C3⋊D311yescharacteristic
455#67—24no—
456#67—616no—
457#67—916no—
458#67—128no—
459#67—184no—
460#67—184no—
461#67—1816no—
462#67—184no—
463#67—1832no—
464C2×Dic3—34no—
465C2×Dic3—34no—
466C2×Dic3—94no—
467C2×Dic3—91no—
468C2×Dic3—184no—
469C2×Dic3C22×C3⋊D311yescharacteristic
470C2×Dic3C22×C3⋊D312yes—
471D12—68no—
472D12—94no—
473D12—916no—
474D12—94no—
475D12—1816no—
476D12—1816no—
477D12—1816no—
478C4×D3—22no—
479C4×D3—184no—
480C4×D3—1816no—
481C4×D3—1816no—
482C4×D3—188no—
483C4×D3—182no—
484C2×C32—24no—
485C2×C32—24no—
486C2×C32—24no—
487C2×C32—416no—
488C2×C32—42no—
489C2×C32—48no—
490C2×C32—62no—
491C2×C32C2×D3×D414yes—
492C2×C32C2×D3×D414yes—
493C2×C32C2×D3×D411yescharacteristic
494C2×C32C2×D3×D411yescharacteristic
495C2×C32#100411yescharacteristic
496C2×C32#100914yes—
497C3⋊D3—42no—
498C3⋊D3—616no—
499C3⋊D3—62no—
500C3⋊D3—64no—
501C3⋊D3—68no—
502C3⋊D3—616no—
503C3⋊D3—1216no—
504C3×D3—28no—
505C3×D3—128no—
506C24—272no—
507C24—272no—
508C2×D4—32no—
509C2×D4—92no—
510C2×D4—92no—
511C2×D4—91no—
512C2×D4—272no—
513C2×D4—272no—
514C2×D4—271no—
515C2×D4—272no—
516C2×D4—271no—
517C2×D4—544no—
518C2×D4—544no—
519C2×D4—548no—
520C2×D4D3×C3⋊D311yescharacteristic, complemented
521C22×C4—31no—
522C22×C4—272no—
523C22×C4—271no—
524C4⋊C4—31no—
525C4⋊C4—271no—
526C22⋊C4—32no—
527C22⋊C4—271no—
528C22⋊C4—272no—
529C22⋊C4—272no—
530C22⋊C4—271no—
531C42—91no—
532C22×C3—216no—
533C22×C3—28no—
534C22×C3—28no—
535C22×C3—28no—
536C22×C3—22no—
537C22×C3—22no—
538C22×C3—22no—
539C22×C3—24no—
540C22×C3—38no—
541C22×C3—48no—
542C22×C3—48no—
543C22×C3—64no—
544C22×C3—64no—
545C22×C3—182no—
546C22×C3—182no—
547C22×C3—182no—
548C22×C3C22×D3214yes—
549C22×C3C23×C3⋊D311yescharacteristic
550C2×D3—21no—
551C2×D3—21no—
552C2×D3—68no—
553C2×D3—68no—
554C2×D3—68no—
555C2×D3—98no—
556C2×D3—916no—
557C2×D3—92no—
558C2×D3—94no—
559C2×D3—188no—
560C2×D3—1816no—
561C2×D3—188no—
562C2×D3—188no—
563C2×D3—188no—
564C2×D3—184no—
565C2×D3—188no—
566C2×D3—184no—
567C2×D3—182no—
568C2×D3—181no—
569C2×D3—181no—
570C2×D3—182no—
571C2×D3—368no—
572C2×D3—368no—
573C2×D3—368no—
574C2×D3—3632no—
575C2×D3—3632no—
576C2×D3—368no—
577C2×D3—3664no—
578C2×D3D4×C3⋊D312yescomplemented
579C3×C4—28no—
580C3×C4—68no—
581C3×C4—64no—
582C3×C4—92no—
583C3×C4—181no—
584C3×C4#381118yescomplemented
585C3×C4D4×C3⋊D312yescomplemented
586Dic3—21no—
587Dic3—22no—
588Dic3—38no—
589Dic3—64no—
590Dic3—188no—
591Dic3—184no—
592Dic3—181no—
593C32—24no—
594C32#560914yescomplemented
595C32#571711yescharacteristic, complemented
596C23—31no—
597C23—92no—
598C23—271no—
599C23—272no—
600C23—544no—
601C23—544no—
602C23—544no—
603C23—544no—
604C23—1082no—
605C23—1082no—
606C23C2×D3×C3⋊D312yes—
607D4—22no—
608D4—64no—
609D4—184no—
610D4—182no—
611D4—274no—
612D4—274no—
613D4—362no—
614D4—544no—
615D4—544no—
616D4—544no—
617C2×C4—31no—
618C2×C4—32no—
619C2×C4—62no—
620C2×C4—91no—
621C2×C4—91no—
622C2×C4—271no—
623C2×C4—544no—
624C2×C4—542no—
625C2×C4C2×D3×C3⋊D311yescharacteristic
626C2×C3—24no—
627C2×C3—24no—
628C2×C3—24no—
629C2×C3—416no—
630C2×C3—48no—
631C2×C3—42no—
632C2×C3—68no—
633C2×C3—362no—
634C2×C3D32×D414yes—
635C2×C3#6431414yes—
636C2×C3C2×#381114yes—
637C2×C3C2×D4×C3⋊D311yescharacteristic
638C2×C3C2×D4×C3⋊D311yescharacteristic
639C2×C3#6436611yescharacteristic
640D3—22no—
641D3—128no—
642D3—1816no—
643D3—188no—
644D3—1816no—
645D3—182no—
646D3—184no—
647D3—3616no—
648C22—22no—
649C22—22no—
650C22—22no—
651C22—32no—
652C22—61no—
653C22—61no—
654C22—182no—
655C22—182no—
656C22—182no—
657C22—272no—
658C22—274no—
659C22—542no—
660C22—541no—
661C22—542no—
662C22—541no—
663C22—1088no—
664C22—1088no—
665C22C22×D3×C3⋊D311yescharacteristic
666C4—62no—
667C4—61no—
668C4—92no—
669C4—181no—
670C4—541no—
671C4#8903912yescomplemented
672C3—24no—
673C3#1059529714yescomplemented
674C3#1059608011yescharacteristic, complemented
675C2—42no—
676C2—62no—
677C2—362no—
678C2—542no—
679C2—544no—
680C2D3×D4×C3⋊D311yescharacteristic
681C2#1172458911yescharacteristic
682C2C2×#8903911yescharacteristic
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×D4×C3⋊(C3⋊D3)C2semidirect
2. C2×#89039C2semidirect
3. C2×D3×C4⋊(C3⋊D3)C2semidirect
4. C3×#64149C2semidirect
5. C32×#938C2semidirect
6. #11723643C2semidirect
7. #11723639C2semidirect
8. #11723623C2semidirect
9. #11723532C2semidirect
10. C4×#6291C2semidirect
11. #11723494C2semidirect
14. C23×C3⋊(C3⋊D3)C22semidirect
15. C22×D3×C3⋊D3C22semidirect
16. C2×C33×D4C22semidirect
17. C2×#6312C22semidirect
20. C2×C4×C3⋊(C3⋊D3)C22semidirect
21. C2×C3×#638C22semidirect
22. C2×C3×#638C22semidirect
23. C2×C3×C4⋊(C3⋊D3)C22semidirect
24. C2×C32×#67C22semidirect
25. C2×C32×C4×D3C22semidirect
27. C2×#6292C22semidirect
28. C2×#6292C22semidirect
30. C2×#6289C22semidirect
32. C3×C4×C3⋊Dic3C22semidirect
33. C32×#217C22semidirect
34. C32×C4⋊Dic3C22semidirect
35. #88807C22semidirect
36. #88804C22semidirect
37. #88804C22semidirect
38. #88803C22semidirect
39. (C2×D3)⋊(C3⋊Dic3)C22semidirect
48. #64149D3semidirect
56. C3×#938D3semidirect
78. C4⋊(C3⋊(C3⋊D3))D4semidirect
91. #6291D4semidirect
102. C2×C32×D4C2×D3semidirect
103. C2×C32×D4C2×D3semidirect
109. C2×#638C2×D3semidirect
110. C2×#638C2×D3semidirect
121. C2×C4⋊(C3⋊D3)C2×D3semidirect
128. C2×C3×#67C2×D3semidirect
130. C2×C3×C4×D3C2×D3semidirect
144. C4×C3⋊Dic3C2×D3semidirect
145. C3×#217C2×D3semidirect
146. C3×C4⋊Dic3C2×D3semidirect
162. C2×C3⋊(C3⋊D3)C2×D4semidirect
163. C2×C3⋊(C3⋊D3)C2×D4semidirect
169. C2×C32×D3C2×D4semidirect
171. C33×C4C2×D4semidirect
174. C3×C3⋊Dic3C2×D4semidirect
189. #938C3⋊D3semidirect
291. C2×C3×D4D32semidirect
292. C2×C3×D4C2×C3⋊D3semidirect
302. C2×#67C2×C3⋊D3semidirect
322. C2×C4×D3C2×C3⋊D3semidirect
328. #217C2×C3⋊D3semidirect
336. C4⋊Dic3C2×C3⋊D3semidirect
384. C2×C3×D3D3×D4semidirect
389. C32×C4D3×D4semidirect
390. C32×C4D3×D4semidirect
395. C3⋊Dic3D3×D4semidirect
411. C33D42semidirect
520. C2×D4D3×C3⋊D3semidirect
578. C2×D3D4×C3⋊D3semidirect
584. C3×C4#3811semidirect
585. C3×C4D4×C3⋊D3semidirect
594. C32#5609semidirect
595. C32#5717semidirect
671. C4#89039semidirect
673. C3#10595297semidirect
674. C3#10596080semidirect

Maximal subgroups

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

subgroupindex
C2×D4×C3⋊(C3⋊D3)2
C2×#890392
C2×D3×C4⋊(C3⋊D3)2
C3×#641492
C32×#9382
#117236432
#117236392
#117236232
#117235322
C4×#62912
#117234942
#105960803
#105952973