Finite Group Databasebeta

← #13177572

Subgroups — #13177572

Order 1728.

3020 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×C3⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
2C22×#6292C211yesmaximal, characteristic, complemented
3C3×#64146C211yesmaximal, characteristic, complemented
4C32×#935C211yesmaximal, characteristic, complemented
5#11723639C212yesmaximal, complemented
6#11723636C211yesmaximal, characteristic, complemented
7#11723627C211yesmaximal, characteristic, complemented
8#11723623C212yesmaximal, complemented
9#11723612C211yesmaximal, characteristic, complemented
10#11723486C212yesmaximal, complemented
11#11723421C212yesmaximal, complemented
12#10596124—31nomaximal
13#10595242—34nomaximal
14C23×C3⋊(C3⋊D3)C2211yescharacteristic
15C23×C3⋊(C3⋊D3)C2211yescharacteristic, complemented
16C23×C3×C3⋊D3C2211yescharacteristic, complemented
17C2×C33×D4C2211yescharacteristic
18C2×#6312C2211yescharacteristic
19C2×#6312C2211yescharacteristic, complemented
20D4×C3⋊(C3⋊D3)—24no—
21C2×C4⋊(C3⋊(C3⋊D3))C2211yescharacteristic, complemented
22C2×C4×C3⋊(C3⋊D3)C2211yescharacteristic, complemented
23C2×C3×#638C2212yescomplemented
24C22×C32×Dic3C2211yescharacteristic, complemented
25C2×#6292—24no—
26C2×#6292C2212yes—
27C2×#6292C2212yescomplemented
28C2×#6292C2212yescomplemented
29C2×#6289C2212yescomplemented
30C3×#3757C2211yescharacteristic, complemented
31C3×#3752C2212yescomplemented
32C32×#217C2212yescomplemented
33C32×#217C2211yescharacteristic, complemented
34C32×Dic3⋊C4C2212yescomplemented
35#88807C2212yescomplemented
36#88804C2212yescomplemented
37#88804C2212yescomplemented
38#88803C2212yescomplemented
39C2×D4×C3⋊D3—31no—
40C2×D4×C3⋊D3—34no—
41C2×D4×C3⋊D3—64no—
42C22×C4⋊(C3⋊D3)—31no—
43C22×#626—34no—
44C32×#123—31no—
45#64146D311yescharacteristic, complemented
46#64138—31no—
47#64104—32no—
48#64103—32no—
49#64093—32no—
50#64091—32no—
51#64091—31no—
52C22⋊C4×C3⋊D3—31no—
53C3×#937—34no—
54C3×#935D314yescomplemented
55#63981—38no—
56#63977—34no—
57#63974—34no—
58#63966—34no—
59#63958—38no—
60#63910—38no—
61#63853—38no—
62C23×C33C2311yescharacteristic
63C23×C33C2311yescharacteristic
64C22×C3⋊(C3⋊D3)—22no—
65C22×C3⋊(C3⋊D3)—42no—
66C22×C3⋊(C3⋊D3)—42no—
67C22×C3⋊(C3⋊D3)D414yescomplemented
68C22×C3⋊(C3⋊D3)C2311yescharacteristic
69C22×C3⋊(C3⋊D3)C2311yescharacteristic
70C22×C3⋊(C3⋊D3)C2311yescharacteristic
71C22×C3×C3⋊D3—22no—
72C22×C3×C3⋊D3—42no—
73C22×C3×C3⋊D3C2312yes—
74C33×D4—22no—
75C2×C33×C4C2311yescharacteristic
76#6312—22no—
77#6312—22no—
78C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
79C4⋊(C3⋊(C3⋊D3))—22no—
80C4×C3⋊(C3⋊D3)—22no—
81C3×#638—42no—
82C2×C3×C3⋊Dic3C2312yes—
83C2×C32×Dic3—22no—
84C2×C32×Dic3C2312yes—
85C2×C32×Dic3C2312yes—
86#6292—24no—
87#6292—24no—
88#6292—42no—
89#6289—42no—
90#5653—94no—
91#5589—91no—
92C23×C3⋊D3—31no—
93C23×C3⋊D3—34no—
94C23×C3⋊D3—31no—
95C23×C3⋊D3—34no—
96C23×C3⋊D3—64no—
97C23×C3⋊D3—64no—
98C23×C3⋊D3C2×D311yescharacteristic, complemented
99C23×C3×D3—34no—
100C2×C32×D4—24no—
101C2×C32×D4C2×D314yes—
102C2×C32×D4C2×D311yescharacteristic
103C22×C32×C4—31no—
104C2×#638—31no—
105C2×#638—31no—
106C2×#638—34no—
107C2×#638—34no—
108C2×#638—64no—
109C2×#638—64no—
110C2×#638C2×D312yescomplemented
111D4×C3⋊D3—64no—
112D4×C3⋊D3—616no—
113D4×C3⋊D3—632no—
114C2×C4⋊(C3⋊D3)—32no—
115C2×C4⋊(C3⋊D3)—32no—
116C2×C4⋊(C3⋊D3)—31no—
117C2×C4⋊(C3⋊D3)—34no—
118C2×C4⋊(C3⋊D3)—32no—
119C2×C4⋊(C3⋊D3)—64no—
120C2×C4⋊(C3⋊D3)—64no—
121C2×C4×C3⋊D3—31no—
122C2×C4×C3⋊D3—34no—
123C2×C4×C3⋊D3—32no—
124C2×C4×C3⋊D3—64no—
125C2×C3×#67—38no—
126C22×C3×Dic3C2×D314yescomplemented
127C2×#626—38no—
128C2×#626—38no—
129C2×#626—38no—
130C2×#626—616no—
131C2×#624—38no—
132C32×C4⋊C4—32no—
133C32×C22⋊C4—31no—
134C32×C22⋊C4—32no—
135#3757C2×D311yescharacteristic, complemented
136#3752—32no—
137#3752—32no—
138#3752—32no—
139#3752C2×D312yescomplemented
140#3750—32no—
141C3×#217—34no—
142C3×#217C2×D318yescomplemented
143C3×#217C2×D314yescomplemented
144C3×(C2×D3)⋊C4—38no—
145C3×Dic3⋊C4C2×D318yescomplemented
146Dic3⋊Dic3—38no—
147#3722—38no—
148#3722—38no—
149(C2×D3)⋊Dic3—38no—
150C22×C33—22no—
151C22×C33—21no—
152C22×C33—22no—
153C22×C33C2×D412yes—
154C22×C33C2411yescharacteristic
155C2×C3⋊(C3⋊D3)—22no—
156C2×C3⋊(C3⋊D3)—22no—
157C2×C3⋊(C3⋊D3)—21no—
158C2×C3⋊(C3⋊D3)—22no—
159C2×C3⋊(C3⋊D3)—44no—
160C2×C3⋊(C3⋊D3)—44no—
161C2×C3⋊(C3⋊D3)C2×D412yes—
162C2×C3⋊(C3⋊D3)C2×D412yes—
163C2×C3×C3⋊D3—22no—
164C2×C3×C3⋊D3—22no—
165C2×C3×C3⋊D3—22no—
166C2×C3×C3⋊D3—44no—
167C33×C4—21no—
168C3⋊(C3⋊Dic3)—21no—
169C3×C3⋊Dic3—22no—
170C32×Dic3—22no—
171C32×Dic3—22no—
172C22×#67—91no—
173C2×D3×D4—94no—
174C2×D3×D4—91no—
175C2×D3×D4—184no—
176C22×D12—94no—
177C3×#123—34no—
178C3×#120—91no—
179#953—91no—
180#938—92no—
181#937—34no—
182#937—92no—
183#935C3⋊D311yescharacteristic, complemented
184#929—94no—
185#895—98no—
186#894—98no—
187#886—91no—
188#884—98no—
189#884—92no—
190#883—92no—
191#882—98no—
192#882—94no—
193D3×C22⋊C4—94no—
194D3×C22⋊C4—91no—
195C23×C32—24no—
196C23×C32—24no—
197C23×C32C22×D314yes—
198C23×C32C22×D314yes—
199C23×C32C22×D311yescharacteristic
200C23×C32C22×D311yescharacteristic
201C22×C3⋊D3—22no—
202C22×C3⋊D3—31no—
203C22×C3⋊D3—31no—
204C22×C3⋊D3—34no—
205C22×C3⋊D3—31no—
206C22×C3⋊D3—34no—
207C22×C3⋊D3—34no—
208C22×C3⋊D3—316no—
209C22×C3⋊D3—34no—
210C22×C3⋊D3—42no—
211C22×C3⋊D3—64no—
212C22×C3⋊D3—616no—
213C22×C3⋊D3—64no—
214C22×C3⋊D3—64no—
215C22×C3⋊D3—62no—
216C22×C3⋊D3—68no—
217C22×C3⋊D3—616no—
218C22×C3⋊D3—122no—
219C22×C3⋊D3—122no—
220C22×C3⋊D3—128no—
221C22×C3⋊D3—128no—
222C22×C3⋊D3—1216no—
223C22×C3⋊D3—1216no—
224C22×C3⋊D3C22×D312yes—
225C22×C3×D3—38no—
226C22×C3×D3—68no—
227C22×C3×D3—128no—
228C32×D4—216no—
229C32×D4—28no—
230C32×D4—22no—
231C2×C32×C4—24no—
232C2×C32×C4—32no—
233C2×C32×C4—32no—
234C2×C32×C4—62no—
235C2×C32×C4C22×D314yes—
236C2×C32×C4C22×D311yescharacteristic
237#638—42no—
238#638—62no—
239#638—68no—
240#638—616no—
241#638—616no—
242#638—68no—
243#638—62no—
244C2×C3⋊Dic3—31no—
245C2×C3⋊Dic3—34no—
246C2×C3⋊Dic3—64no—
247C2×C3⋊Dic3C22×D312yes—
248C4⋊(C3⋊D3)—62no—
249C4⋊(C3⋊D3)—68no—
250C4⋊(C3⋊D3)—616no—
251C4⋊(C3⋊D3)—64no—
252C4⋊(C3⋊D3)—64no—
253C4⋊(C3⋊D3)—122no—
254C4×C3⋊D3—62no—
255C4×C3⋊D3—68no—
256C4×C3⋊D3—616no—
257C4×C3⋊D3—122no—
258C3×#67—128no—
259C2×C3×Dic3—28no—
260C2×C3×Dic3—38no—
261C2×C3×Dic3C22×D318yes—
262C2×C3×Dic3C22×D318yes—
263#626—616no—
264#626—616no—
265#626—128no—
266#624—128no—
267#534—271noSylow
268C2×C33—22no—
269C2×C33—41no—
270C2×C33C22×D411yescharacteristic
271C2×C33H(5,𝔽2)12yes—
272C3⋊(C3⋊D3)—22no—
273C3⋊(C3⋊D3)—22no—
274C3⋊(C3⋊D3)—41no—
275C3×C3⋊D3—42no—
276C24×C3—91no—
277C23×D3—34no—
278C23×D3—94no—
279C23×D3—91no—
280C23×D3—94no—
281C23×D3—91no—
282C23×D3—184no—
283C23×D3—184no—
284C2×C3×D4—24no—
285C2×C3×D4—92no—
286C2×C3×D4D3214yes—
287C2×C3×D4C2×C3⋊D311yescharacteristic
288C22×C3×C4—34no—
289C2×#67—38no—
290C2×#67—94no—
291C2×#67—94no—
292C2×#67—91no—
293C2×#67—91no—
294C2×#67—92no—
295C2×#67—92no—
296C2×#67—92no—
297C2×#67—184no—
298C2×#67—184no—
299C2×#67—184no—
300C22×Dic3C2×C3⋊D311yescharacteristic, complemented
301D3×D4—1816no—
302D3×D4—184no—
303D3×D4—1832no—
304C2×D12—98no—
305C2×D12—98no—
306C2×D12—94no—
307C2×D12—91no—
308C2×D12—98no—
309C2×D12—184no—
310C2×D12—1816no—
311C2×C4×D3—94no—
312C2×C4×D3—91no—
313C2×C4×D3—98no—
314C2×C4×D3—92no—
315C2×C4×D3—184no—
316C3×C4⋊C4—38no—
317C3×C22⋊C4—34no—
318C3×C22⋊C4—38no—
319C3×C22⋊C4—91no—
320C3×C22⋊C4—92no—
321#217—34no—
322#217—92no—
323#217C2×C3⋊D311yescharacteristic, complemented
324#217C2×C3⋊D312yescomplemented
325(C2×D3)⋊C4—38no—
326(C2×D3)⋊C4—98no—
327(C2×D3)⋊C4—98no—
328(C2×D3)⋊C4—98no—
329(C2×D3)⋊C4—92no—
330(C2×D3)⋊C4—92no—
331C4⋊Dic3—92no—
332Dic3⋊C4—98no—
333Dic3⋊C4C2×C3⋊D312yescomplemented
334C22×C32—22no—
335C22×C32—28no—
336C22×C32—24no—
337C22×C32—21no—
338C22×C32—22no—
339C22×C32—24no—
340C22×C32—28no—
341C22×C32—28no—
342C22×C32—28no—
343C22×C32—48no—
344C22×C32—48no—
345C22×C32D3×D418yes—
346C22×C32D3×D412yes—
347C22×C32C23×D314yes—
348C22×C32C23×D311yescharacteristic
349C2×C3⋊D3—22no—
350C2×C3⋊D3—22no—
351C2×C3⋊D3—22no—
352C2×C3⋊D3—32no—
353C2×C3⋊D3—32no—
354C2×C3⋊D3—38no—
355C2×C3⋊D3—38no—
356C2×C3⋊D3—44no—
357C2×C3⋊D3—68no—
358C2×C3⋊D3—68no—
359C2×C3⋊D3—616no—
360C2×C3⋊D3—62no—
361C2×C3⋊D3—62no—
362C2×C3⋊D3—68no—
363C2×C3⋊D3—68no—
364C2×C3⋊D3—64no—
365C2×C3⋊D3—61no—
366C2×C3⋊D3—62no—
367C2×C3⋊D3—68no—
368C2×C3⋊D3—68no—
369C2×C3⋊D3—128no—
370C2×C3⋊D3—128no—
371C2×C3⋊D3—124no—
372C2×C3⋊D3—1216no—
373C2×C3⋊D3—1232no—
374C2×C3⋊D3—1232no—
375C2×C3⋊D3—1216no—
376C2×C3⋊D3—124no—
377C2×C3×D3—68no—
378C2×C3×D3—68no—
379C2×C3×D3—68no—
380C2×C3×D3—1216no—
381C32×C4—28no—
382C32×C4—24no—
383C32×C4—21no—
384C32×C4—62no—
385C32×C4—62no—
386C3⋊Dic3—22no—
387C3⋊Dic3—68no—
388C3⋊Dic3—64no—
389C3⋊Dic3—61no—
390C3×Dic3—28no—
391C3×Dic3—28no—
392C3×Dic3—68no—
393C22×D4—271no—
394C22×D4—271no—
395#123—31no—
396#123—272no—
397#123—271no—
398#121—272no—
399#121—272no—
400#120—91no—
401#120—272no—
402#120—271no—
403C2×C22⋊C4—271no—
404C33#53411yescharacteristic, complemented, Sylow
405C23×C3—24no—
406C23×C3—24no—
407C23×C3—92no—
408C23×C3—182no—
409C23×C3—362no—
410C23×C3C2×D3214yes—
411C23×C3C2×D3214yes—
412C23×C3C22×C3⋊D311yescharacteristic
413C23×C3C22×C3⋊D311yescharacteristic
414C22×D3—38no—
415C22×D3—68no—
416C22×D3—94no—
417C22×D3—94no—
418C22×D3—91no—
419C22×D3—91no—
420C22×D3—916no—
421C22×D3—94no—
422C22×D3—94no—
423C22×D3—91no—
424C22×D3—128no—
425C22×D3—184no—
426C22×D3—184no—
427C22×D3—184no—
428C22×D3—1816no—
429C22×D3—188no—
430C22×D3—182no—
431C22×D3—1816no—
432C22×D3—368no—
433C22×D3—368no—
434C22×D3—362no—
435C22×D3—362no—
436C22×D3—3616no—
437C22×D3—3616no—
438C3×D4—216no—
439C3×D4—28no—
440C3×D4—22no—
441C3×D4—362no—
442C2×C3×C4—24no—
443C2×C3×C4—38no—
444C2×C3×C4—38no—
445C2×C3×C4—68no—
446C2×C3×C4—92no—
447C2×C3×C4C2×D3214yes—
448C2×C3×C4C22×C3⋊D311yescharacteristic
449#67—128no—
450#67—184no—
451#67—184no—
452#67—188no—
453#67—182no—
454#67—1816no—
455#67—1816no—
456#67—188no—
457#67—182no—
458#67—362no—
459C2×Dic3—22no—
460C2×Dic3—38no—
461C2×Dic3—94no—
462C2×Dic3—91no—
463C2×Dic3—184no—
464C2×Dic3C22×C3⋊D312yes—
465C2×Dic3C22×C3⋊D312yes—
466D12—188no—
467D12—182no—
468D12—1816no—
469D12—1816no—
470D12—1816no—
471D12—368no—
472C4×D3—188no—
473C4×D3—182no—
474C4×D3—1816no—
475C4×D3—362no—
476C4×D3—368no—
477C2×C32—22no—
478C2×C32—28no—
479C2×C32—24no—
480C2×C32—28no—
481C2×C32—48no—
482C2×C32—48no—
483C2×C32—44no—
484C2×C32—41no—
485C2×C32C2×D3×D414yes—
486C2×C32C2×D3×D411yescharacteristic
487C2×C32#100412yes—
488C2×C32#100918yes—
489C3⋊D3—42no—
490C3⋊D3—616no—
491C3⋊D3—68no—
492C3⋊D3—62no—
493C3⋊D3—62no—
494C3⋊D3—68no—
495C3⋊D3—128no—
496C3⋊D3—128no—
497C3⋊D3—124no—
498C3⋊D3—121no—
499C3×D3—128no—
500C24—91no—
501C24—271no—
502C24—271no—
503C2×D4—92no—
504C2×D4—272no—
505C2×D4—272no—
506C2×D4—272no—
507C2×D4—271no—
508C2×D4—271no—
509C2×D4—271no—
510C2×D4—544no—
511C2×D4—544no—
512C2×D4D3×C3⋊D311yescharacteristic
513C22×C4—31no—
514C22×C4—272no—
515C22×C4—271no—
516C4⋊C4—32no—
517C4⋊C4—272no—
518C22⋊C4—31no—
519C22⋊C4—32no—
520C22⋊C4—91no—
521C22⋊C4—92no—
522C22⋊C4—272no—
523C22⋊C4—272no—
524C22⋊C4—272no—
525C22×C3—28no—
526C22×C3—22no—
527C22×C3—28no—
528C22×C3—28no—
529C22×C3—24no—
530C22×C3—21no—
531C22×C3—22no—
532C22×C3—24no—
533C22×C3—28no—
534C22×C3—48no—
535C22×C3—48no—
536C22×C3—182no—
537C22×C3—182no—
538C22×C3—182no—
539C22×C3—364no—
540C22×C3#381118yes—
541C22×C3D4×C3⋊D312yes—
542C22×C3C22×D3214yes—
543C22×C3C23×C3⋊D311yescharacteristic
544C2×D3—68no—
545C2×D3—68no—
546C2×D3—68no—
547C2×D3—98no—
548C2×D3—98no—
549C2×D3—92no—
550C2×D3—92no—
551C2×D3—1216no—
552C2×D3—188no—
553C2×D3—188no—
554C2×D3—1816no—
555C2×D3—188no—
556C2×D3—188no—
557C2×D3—182no—
558C2×D3—182no—
559C2×D3—188no—
560C2×D3—188no—
561C2×D3—184no—
562C2×D3—181no—
563C2×D3—182no—
564C2×D3—368no—
565C2×D3—368no—
566C2×D3—364no—
567C2×D3—3616no—
568C2×D3—3632no—
569C2×D3—3632no—
570C2×D3—364no—
571C2×D3—3616no—
572C3×C4—28no—
573C3×C4—24no—
574C3×C4—21no—
575C3×C4—68no—
576C3×C4—68no—
577C3×C4—182no—
578Dic3—22no—
579Dic3—22no—
580Dic3—68no—
581Dic3—188no—
582Dic3—184no—
583Dic3—181no—
584C32—24no—
585C32#558911yescharacteristic, complemented
586C32#565314yescomplemented
587C23—92no—
588C23—182no—
589C23—271no—
590C23—271no—
591C23—274no—
592C23—271no—
593C23—362no—
594C23—542no—
595C23—1082no—
596C23—1082no—
597C23C2×D3×C3⋊D311yescharacteristic
598C23C2×D3×C3⋊D311yescharacteristic
599D4—22no—
600D4—362no—
601D4—542no—
602D4—544no—
603D4—544no—
604D4—542no—
605D4—542no—
606D4—1082no—
607C2×C4—32no—
608C2×C4—32no—
609C2×C4—62no—
610C2×C4—92no—
611C2×C4—271no—
612C2×C4—542no—
613C2×C4—1082no—
614C2×C4C2×D3×C3⋊D311yescharacteristic
615C2×C3—22no—
616C2×C3—28no—
617C2×C3—28no—
618C2×C3—24no—
619C2×C3—48no—
620C2×C3—48no—
621C2×C3—41no—
622C2×C3—44no—
623C2×C3—362no—
624C2×C3#6431418yes—
625C2×C3C2×#381114yes—
626C2×C3C2×D4×C3⋊D311yescharacteristic
627C2×C3#6436612yes—
628D3—128no—
629D3—1816no—
630D3—182no—
631D3—182no—
632D3—188no—
633D3—188no—
634D3—368no—
635D3—368no—
636D3—361no—
637D3—364no—
638C22—22no—
639C22—22no—
640C22—21no—
641C22—182no—
642C22—182no—
643C22—182no—
644C22—272no—
645C22—272no—
646C22—364no—
647C22—542no—
648C22—542no—
649C22—542no—
650C22—541no—
651C22—1084no—
652C22—1084no—
653C22#8903912yes—
654C22C22×D3×C3⋊D311yescharacteristic
655C4—21no—
656C4—62no—
657C4—62no—
658C4—182no—
659C4—541no—
660C3—24no—
661C3#1059524214yescomplemented
662C3#1059612411yescharacteristic, complemented
663C2—22no—
664C2—41no—
665C2—362no—
666C2—542no—
667C2—542no—
668C2—1081no—
669C2#1172458912yes—
670C2C2×#8903911yescharacteristic
subgroupG/H
center, FrattiniC22C22×D3×C3⋊D3
commutator, socle, cosocleC22×C33C24
FittingC2×C33×D4C22
hypercenterC2×D4D3×C3⋊D3
hypocenterC33#534
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. C22×#6292C2semidirect
3. C3×#64146C2semidirect
4. C32×#935C2semidirect
5. #11723639C2semidirect
6. #11723636C2semidirect
7. #11723627C2semidirect
8. #11723623C2semidirect
9. #11723612C2semidirect
10. #11723486C2semidirect
11. #11723421C2semidirect
15. C23×C3⋊(C3⋊D3)C22semidirect
16. C23×C3×C3⋊D3C22semidirect
19. C2×#6312C22semidirect
21. C2×C4⋊(C3⋊(C3⋊D3))C22semidirect
22. C2×C4×C3⋊(C3⋊D3)C22semidirect
23. C2×C3×#638C22semidirect
24. C22×C32×Dic3C22semidirect
27. C2×#6292C22semidirect
28. C2×#6292C22semidirect
29. C2×#6289C22semidirect
30. C3×#3757C22semidirect
31. C3×#3752C22semidirect
32. C32×#217C22semidirect
33. C32×#217C22semidirect
34. C32×Dic3⋊C4C22semidirect
35. #88807C22semidirect
36. #88804C22semidirect
37. #88804C22semidirect
38. #88803C22semidirect
45. #64146D3semidirect
54. C3×#935D3semidirect
67. C22×C3⋊(C3⋊D3)D4semidirect
98. C23×C3⋊D3C2×D3semidirect
110. C2×#638C2×D3semidirect
126. C22×C3×Dic3C2×D3semidirect
135. #3757C2×D3semidirect
139. #3752C2×D3semidirect
142. C3×#217C2×D3semidirect
143. C3×#217C2×D3semidirect
145. C3×Dic3⋊C4C2×D3semidirect
183. #935C3⋊D3semidirect
300. C22×Dic3C2×C3⋊D3semidirect
323. #217C2×C3⋊D3semidirect
324. #217C2×C3⋊D3semidirect
333. Dic3⋊C4C2×C3⋊D3semidirect
404. C33#534semidirect
585. C32#5589semidirect
586. C32#5653semidirect
661. C3#10595242semidirect
662. C3#10596124semidirect

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
C22×#62922
C3×#641462
C32×#9352
#117236392
#117236362
#117236272
#117236232
#117236122
#117234862
#117234212
#105961243
#105952423