Finite Group Databasebeta

← #13177336

Subgroups — #13177336

Order 1728.

3020 conjugacy classes of subgroups.

The subgroup lattice has 654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4⋊(C3⋊(C3⋊D3))C211yesmaximal, characteristic, complemented
2C2×#89039C211yesmaximal, characteristic, complemented
3C3×#64138C211yesmaximal, characteristic, complemented
4C32×#929C211yesmaximal, characteristic, complemented
5#11723639C211yesmaximal, characteristic, complemented
6#11723638C211yesmaximal, characteristic, complemented
7#11723627C211yesmaximal, characteristic, complemented
8#11723542C212yesmaximal, complemented
9#11723525C212yesmaximal, complemented
10#11723498C212yesmaximal, complemented
11#11723486C212yesmaximal, complemented
12#10596124—31nomaximal
13#10595080—34nomaximal
14C23×C3⋊(C3⋊D3)C2211yescharacteristic
15C23×C3⋊(C3⋊D3)C2211yescharacteristic, complemented
16C22×D3×C3⋊D3C2211yescharacteristic, complemented
17C22×C33×C4C2211yescharacteristic, complemented
18C2×C4⋊(C3⋊(C3⋊D3))—24no—
19C2×C4⋊(C3⋊(C3⋊D3))C2212yes—
20C2×C4⋊(C3⋊(C3⋊D3))C2212yescomplemented
21C2×C3×#638C2211yescharacteristic
22C2×C32×#67C2211yescharacteristic
23#89039—24no—
24C2×#6292C2211yescharacteristic, complemented
25C2×#6292C2212yescomplemented
26C2×#6291C2211yescharacteristic, complemented
27C2×#6291C2212yescomplemented
28C2×#6289C2211yescharacteristic, complemented
29C2×#6289C2212yescomplemented
30C3×#3757C2211yescharacteristic, complemented
31C3×#3752C2212yescomplemented
32C3×#3750C2212yescomplemented
33C32×#217C2211yescharacteristic, complemented
34C32×(C2×D3)⋊C4C2212yescomplemented
35C32×Dic3⋊C4C2212yescomplemented
36#88804C2212yescomplemented
37#88804C2212yescomplemented
38#88804C2212yescomplemented
39C2×D4×C3⋊D3—31no—
40C22×C4⋊(C3⋊D3)—31no—
41C22×C4⋊(C3⋊D3)—34no—
42C22×C4⋊(C3⋊D3)—64no—
43C2×#3811—34no—
44C32×#123—31no—
45#64146—31no—
46#64138D311yescharacteristic, complemented
47#64104—32no—
48#64103—32no—
49#64093—32no—
50#64091—31no—
51#64091—32no—
52C22⋊C4×C3⋊D3—31no—
53C3×#929—34no—
54C3×#929D314yescomplemented
55#63981—34no—
56#63981—34no—
57#63974—34no—
58#63923—38no—
59#63910—38no—
60#63910—38no—
61#63897—38no—
62C23×C33C2311yescharacteristic
63C22×C3⋊(C3⋊D3)—22no—
64C22×C3⋊(C3⋊D3)—42no—
65C22×C3⋊(C3⋊D3)—42no—
66C22×C3⋊(C3⋊D3)D414yescomplemented
67C22×C3⋊(C3⋊D3)C2312yes—
68C22×C3⋊(C3⋊D3)C2311yescharacteristic
69C22×C3⋊(C3⋊D3)C2311yescharacteristic
70C22×C3×C3⋊D3C2311yescharacteristic
71C22×C32×D3C2311yescharacteristic
72C2×D3×C3⋊D3—22no—
73C2×D3×C3⋊D3—42no—
74C2×C33×C4—22no—
75C2×C33×C4C2312yes—
76C4⋊(C3⋊(C3⋊D3))—24no—
77C4⋊(C3⋊(C3⋊D3))—24no—
78C3×#638—22no—
79C2×C3×C3⋊Dic3C2311yescharacteristic
80C2×C3×C3⋊Dic3C2312yes—
81C32×#67—22no—
82C2×C32×Dic3C2312yes—
83C2×C32×Dic3C2311yescharacteristic
84#6292—22no—
85#6292—42no—
86#6291—22no—
87#6291—42no—
88#6289—22no—
89#6289—42no—
90#5653—94no—
91#5653—91no—
92C23×C3⋊D3—31no—
93C23×C3⋊D3—34no—
94C23×C3⋊D3—31no—
95C23×C3⋊D3—34no—
96C23×C3⋊D3—31no—
97C23×C3⋊D3—64no—
98C23×C3⋊D3—64no—
99C22×D32—34no—
100C2×C32×D4—31no—
101C22×C32×C4—24no—
102C22×C32×C4C2×D314yescomplemented
103C22×C32×C4C2×D311yescharacteristic, complemented
104C2×#638—31no—
105C2×#638—32no—
106C2×#638C2×D311yescharacteristic
107D4×C3⋊D3—64no—
108C2×C4⋊(C3⋊D3)—31no—
109C2×C4⋊(C3⋊D3)—32no—
110C2×C4⋊(C3⋊D3)—32no—
111C2×C4⋊(C3⋊D3)—38no—
112C2×C4⋊(C3⋊D3)—38no—
113C2×C4⋊(C3⋊D3)—32no—
114C2×C4⋊(C3⋊D3)—64no—
115C2×C4⋊(C3⋊D3)—616no—
116C2×C4⋊(C3⋊D3)—68no—
117C2×C4⋊(C3⋊D3)—68no—
118C2×C4⋊(C3⋊D3)—632no—
119C2×C4×C3⋊D3—31no—
120C2×C4×C3⋊D3—32no—
121C2×C3×#67—34no—
122C2×C3×#67C2×D314yes—
123#3811—616no—
124C2×#626—34no—
125C2×#626—34no—
126C2×#626—38no—
127C2×#626—38no—
128C2×#624—34no—
129C2×#624—38no—
130C32×C4⋊C4—32no—
131C32×C22⋊C4—31no—
132C32×C22⋊C4—32no—
133#3757C2×D311yescharacteristic, complemented
134#3752—32no—
135#3752—32no—
136#3752—32no—
137#3752C2×D312yescomplemented
138#3750C2×D312yescomplemented
139C3×#217—34no—
140C3×#217C2×D314yescomplemented
141C3×(C2×D3)⋊C4—38no—
142C3×(C2×D3)⋊C4C2×D318yescomplemented
143C3×Dic3⋊C4—38no—
144C3×Dic3⋊C4C2×D318yescomplemented
145#3722—38no—
146#3722—38no—
147#3722—38no—
148C22×C33—22no—
149C22×C33C2×D412yes—
150C22×C33C2411yescharacteristic
151C2×C3⋊(C3⋊D3)—22no—
152C2×C3⋊(C3⋊D3)—22no—
153C2×C3⋊(C3⋊D3)—22no—
154C2×C3⋊(C3⋊D3)—22no—
155C2×C3⋊(C3⋊D3)—22no—
156C2×C3⋊(C3⋊D3)—44no—
157C2×C3⋊(C3⋊D3)—44no—
158C2×C3⋊(C3⋊D3)C2×D412yes—
159C2×C3⋊(C3⋊D3)C2×D412yes—
160C2×C3×C3⋊D3—21no—
161C2×C3×C3⋊D3—22no—
162C2×C32×D3—21no—
163C2×C32×D3—22no—
164D3×C3⋊D3—44no—
165C33×C4—22no—
166C3×C3⋊Dic3—21no—
167C3×C3⋊Dic3—22no—
168C32×Dic3—21no—
169C32×Dic3—22no—
170C2×D3×D4—94no—
171C2×D3×D4—91no—
172C22×D12—94no—
173C22×D12—91no—
174C22×D12—184no—
175C3×#123—34no—
176C3×#123—91no—
177#937—94no—
178#937—91no—
179#929—34no—
180#929C3⋊D311yescharacteristic, complemented
181#895—98no—
182#895—92no—
183#894—98no—
184#894—92no—
185#884—98no—
186#884—92no—
187#882—98no—
188#882—94no—
189#882—91no—
190#882—92no—
191D3×C22⋊C4—94no—
192D3×C22⋊C4—91no—
193C23×C32—24no—
194C23×C32—31no—
195C23×C32C22×D314yes—
196C23×C32C22×D311yescharacteristic
197C22×C3⋊D3—31no—
198C22×C3⋊D3—31no—
199C22×C3⋊D3—34no—
200C22×C3⋊D3—32no—
201C22×C3⋊D3—34no—
202C22×C3⋊D3—34no—
203C22×C3⋊D3—316no—
204C22×C3⋊D3—38no—
205C22×C3⋊D3—616no—
206C22×C3⋊D3—64no—
207C22×C3⋊D3—64no—
208C22×C3⋊D3—68no—
209C22×C3⋊D3—62no—
210C22×C3⋊D3—616no—
211C22×C3⋊D3—68no—
212C22×C3⋊D3—62no—
213C22×C3⋊D3—122no—
214C22×C3⋊D3—122no—
215C22×C3⋊D3—122no—
216C22×C3⋊D3—128no—
217C22×C3⋊D3—128no—
218C22×C3⋊D3—1216no—
219C22×C3⋊D3—1216no—
220C22×C3⋊D3C22×D311yescharacteristic
221C22×C3×D3—34no—
222C22×C3×D3C22×D314yes—
223C2×D32—68no—
224C2×D32—128no—
225C32×D4—62no—
226C2×C32×C4—216no—
227C2×C32×C4—28no—
228C2×C32×C4—22no—
229C2×C32×C4—28no—
230C2×C32×C4—32no—
231C2×C32×C4—31no—
232C2×C32×C4C22×D318yes—
233C2×C32×C4C22×D312yes—
234#638—22no—
235#638—62no—
236#638—122no—
237C2×C3⋊Dic3C22×D311yescharacteristic
238C2×C3⋊Dic3C22×D312yes—
239C4⋊(C3⋊D3)—64no—
240C4⋊(C3⋊D3)—64no—
241C4⋊(C3⋊D3)—616no—
242C4⋊(C3⋊D3)—616no—
243C4⋊(C3⋊D3)—632no—
244C4⋊(C3⋊D3)—632no—
245C4⋊(C3⋊D3)—62no—
246C4⋊(C3⋊D3)—122no—
247C4×C3⋊D3—62no—
248C4×C3⋊D3—122no—
249C3×#67—28no—
250C3×#67—68no—
251C2×C3×Dic3—34no—
252C2×C3×Dic3—38no—
253C2×C3×Dic3C22×D314yes—
254C2×C3×Dic3C22×D318yes—
255#626—68no—
256#626—68no—
257#626—128no—
258#626—128no—
259#624—68no—
260#624—128no—
261#534—271noSylow
262C2×C33—22no—
263C2×C33C22×D411yescharacteristic
264C2×C33H(5,𝔽2)12yes—
265C3⋊(C3⋊D3)—22no—
266C3⋊(C3⋊D3)—22no—
267C3⋊(C3⋊D3)—42no—
268C3×C3⋊D3—41no—
269C32×D3—41no—
270C23×D3—94no—
271C23×D3—94no—
272C23×D3—91no—
273C23×D3—94no—
274C23×D3—91no—
275C23×D3—91no—
276C23×D3—184no—
277C23×D3—184no—
278C2×C3×D4—34no—
279C2×C3×D4—91no—
280C22×C3×C4—24no—
281C22×C3×C4D3214yescomplemented
282C22×C3×C4C2×C3⋊D311yescharacteristic, complemented
283C2×#67—34no—
284C2×#67—94no—
285C2×#67—98no—
286C2×#67—91no—
287C2×#67—92no—
288C2×#67C2×C3⋊D311yescharacteristic
289D3×D4—184no—
290D3×D4—1816no—
291C2×D12—94no—
292C2×D12—91no—
293C2×D12—98no—
294C2×D12—98no—
295C2×D12—92no—
296C2×D12—92no—
297C2×D12—98no—
298C2×D12—92no—
299C2×D12—188no—
300C2×D12—188no—
301C2×D12—1816no—
302C2×D12—184no—
303C2×D12—1832no—
304C2×C4×D3—94no—
305C2×C4×D3—91no—
306C2×C4×D3—98no—
307C2×C4×D3—92no—
308C3×C4⋊C4—38no—
309C3×C4⋊C4—92no—
310C3×C22⋊C4—34no—
311C3×C22⋊C4—38no—
312C3×C22⋊C4—91no—
313C3×C22⋊C4—92no—
314#217—34no—
315#217C2×C3⋊D311yescharacteristic, complemented
316(C2×D3)⋊C4—38no—
317(C2×D3)⋊C4—98no—
318(C2×D3)⋊C4—98no—
319(C2×D3)⋊C4—98no—
320(C2×D3)⋊C4—92no—
321(C2×D3)⋊C4—92no—
322(C2×D3)⋊C4—92no—
323(C2×D3)⋊C4C2×C3⋊D312yescomplemented
324Dic3⋊C4—38no—
325Dic3⋊C4C2×C3⋊D312yescomplemented
326C22×C32—216no—
327C22×C32—28no—
328C22×C32—22no—
329C22×C32—24no—
330C22×C32—28no—
331C22×C32—61no—
332C22×C32—62no—
333C22×C32D3×D418yes—
334C22×C32D3×D412yes—
335C22×C32C23×D314yes—
336C22×C32C23×D311yescharacteristic
337C2×C3⋊D3—21no—
338C2×C3⋊D3—22no—
339C2×C3⋊D3—32no—
340C2×C3⋊D3—32no—
341C2×C3⋊D3—38no—
342C2×C3⋊D3—38no—
343C2×C3⋊D3—68no—
344C2×C3⋊D3—68no—
345C2×C3⋊D3—62no—
346C2×C3⋊D3—62no—
347C2×C3⋊D3—616no—
348C2×C3⋊D3—68no—
349C2×C3⋊D3—62no—
350C2×C3⋊D3—62no—
351C2×C3⋊D3—62no—
352C2×C3⋊D3—68no—
353C2×C3⋊D3—68no—
354C2×C3⋊D3—68no—
355C2×C3⋊D3—68no—
356C2×C3⋊D3—128no—
357C2×C3⋊D3—128no—
358C2×C3⋊D3—128no—
359C2×C3⋊D3—128no—
360C2×C3⋊D3—124no—
361C2×C3⋊D3—124no—
362C2×C3⋊D3—1216no—
363C2×C3⋊D3—1232no—
364C2×C3⋊D3—1232no—
365C2×C3⋊D3—1216no—
366C2×C3⋊D3—124no—
367C2×C3×D3—24no—
368C2×C3×D3—28no—
369C2×C3×D3—64no—
370C2×C3×D3—68no—
371D32—1216no—
372C32×C4—216no—
373C32×C4—28no—
374C32×C4—22no—
375C32×C4—61no—
376C32×C4—62no—
377C3⋊Dic3—21no—
378C3⋊Dic3—22no—
379C3×Dic3—24no—
380C3×Dic3—28no—
381C3×Dic3—64no—
382C3×Dic3—68no—
383C22×D4—271no—
384C22×D4—271no—
385#123—31no—
386#123—91no—
387#123—272no—
388#121—272no—
389#121—272no—
390#120—272no—
391#120—271no—
392#120—271no—
393C2×C22⋊C4—271no—
394C33#53411yescharacteristic, complemented, Sylow
395C23×C3—24no—
396C23×C3—34no—
397C23×C3—91no—
398C23×C3C2×D3214yes—
399C23×C3C22×C3⋊D311yescharacteristic
400C22×D3—34no—
401C22×D3—94no—
402C22×D3—94no—
403C22×D3—91no—
404C22×D3—91no—
405C22×D3—916no—
406C22×D3—94no—
407C22×D3—98no—
408C22×D3—92no—
409C22×D3—184no—
410C22×D3—184no—
411C22×D3—1816no—
412C22×D3—188no—
413C22×D3—182no—
414C22×D3—188no—
415C22×D3—1816no—
416C22×D3—188no—
417C22×D3—182no—
418C22×D3—362no—
419C22×D3—368no—
420C22×D3—368no—
421C22×D3—362no—
422C22×D3—368no—
423C22×D3—362no—
424C22×D3—3616no—
425C22×D3—3616no—
426C22×D3C22×C3⋊D311yescharacteristic
427C3×D4—68no—
428C3×D4—182no—
429C2×C3×C4—216no—
430C2×C3×C4—28no—
431C2×C3×C4—22no—
432C2×C3×C4—28no—
433C2×C3×C4—38no—
434C2×C3×C4—34no—
435C2×C3×C4—92no—
436C2×C3×C4—91no—
437C2×C3×C4C2×D3218yes—
438C2×C3×C4C22×C3⋊D312yes—
439#67—22no—
440#67—68no—
441#67—182no—
442#67—188no—
443#67—362no—
444#67—368no—
445C2×Dic3—34no—
446C2×Dic3—38no—
447C2×Dic3C22×C3⋊D311yescharacteristic
448C2×Dic3C22×C3⋊D312yes—
449D12—1816no—
450D12—1816no—
451D12—184no—
452D12—184no—
453D12—1832no—
454D12—1832no—
455D12—188no—
456D12—182no—
457D12—368no—
458D12—362no—
459C4×D3—182no—
460C4×D3—188no—
461C4×D3—362no—
462C4×D3—368no—
463C2×C32—216no—
464C2×C32—28no—
465C2×C32—22no—
466C2×C32—28no—
467C2×C32—24no—
468C2×C32—121no—
469C2×C32C2×D3×D414yes—
470C2×C32C2×D3×D411yescharacteristic
471C2×C32#100918yes—
472C2×C32#100912yes—
473C3⋊D3—41no—
474C3⋊D3—62no—
475C3⋊D3—62no—
476C3⋊D3—68no—
477C3⋊D3—68no—
478C3⋊D3—128no—
479C3⋊D3—128no—
480C3⋊D3—1216no—
481C3⋊D3—128no—
482C3⋊D3—122no—
483C3×D3—44no—
484C3×D3—124no—
485C24—271no—
486C24—271no—
487C24—271no—
488C2×D4—31no—
489C2×D4—91no—
490C2×D4—271no—
491C2×D4—272no—
492C2×D4—271no—
493C2×D4—272no—
494C2×D4—272no—
495C2×D4—272no—
496C2×D4—544no—
497C2×D4—544no—
498C22×C4—271no—
499C22×C4—272no—
500C22×C4D3×C3⋊D311yescharacteristic, complemented
501C4⋊C4—32no—
502C4⋊C4—92no—
503C22⋊C4—31no—
504C22⋊C4—32no—
505C22⋊C4—91no—
506C22⋊C4—92no—
507C22⋊C4—272no—
508C22⋊C4—272no—
509C22⋊C4—272no—
510C22×C3—216no—
511C22×C3—28no—
512C22×C3—22no—
513C22×C3—24no—
514C22×C3—28no—
515C22×C3—68no—
516C22×C3—64no—
517C22×C3—181no—
518C22×C3—182no—
519C22×C3#381118yes—
520C22×C3D4×C3⋊D312yes—
521C22×C3C22×D3214yes—
522C22×C3C23×C3⋊D311yescharacteristic
523C2×D3—21no—
524C2×D3—22no—
525C2×D3—68no—
526C2×D3—64no—
527C2×D3—98no—
528C2×D3—98no—
529C2×D3—92no—
530C2×D3—92no—
531C2×D3—188no—
532C2×D3—188no—
533C2×D3—188no—
534C2×D3—188no—
535C2×D3—182no—
536C2×D3—182no—
537C2×D3—1816no—
538C2×D3—188no—
539C2×D3—188no—
540C2×D3—188no—
541C2×D3—182no—
542C2×D3—182no—
543C2×D3—182no—
544C2×D3—368no—
545C2×D3—368no—
546C2×D3—368no—
547C2×D3—368no—
548C2×D3—364no—
549C2×D3—3616no—
550C2×D3—3616no—
551C2×D3—364no—
552C2×D3—3632no—
553C2×D3—3632no—
554C2×D3—3616no—
555C2×D3—364no—
556C3×C4—216no—
557C3×C4—28no—
558C3×C4—22no—
559C3×C4—68no—
560C3×C4—64no—
561C3×C4—181no—
562C3×C4—182no—
563Dic3—21no—
564Dic3—22no—
565Dic3—68no—
566Dic3—64no—
567C32—24no—
568C32#565314yescomplemented
569C32#565311yescharacteristic, complemented
570C23—31no—
571C23—91no—
572C23—271no—
573C23—271no—
574C23—274no—
575C23—272no—
576C23—542no—
577C23—542no—
578C23—1082no—
579C23—1082no—
580C23—1082no—
581C23C2×D3×C3⋊D311yescharacteristic
582D4—62no—
583D4—182no—
584D4—544no—
585D4—544no—
586D4—542no—
587D4—542no—
588D4—1082no—
589D4—1082no—
590C2×C4—22no—
591C2×C4—32no—
592C2×C4—31no—
593C2×C4—92no—
594C2×C4—91no—
595C2×C4—542no—
596C2×C4—1082no—
597C2×C4C2×D3×C3⋊D312yes—
598C2×C3—216no—
599C2×C3—28no—
600C2×C3—22no—
601C2×C3—28no—
602C2×C3—24no—
603C2×C3—124no—
604C2×C3—361no—
605C2×C3#6430818yes—
606C2×C3C2×#381114yes—
607C2×C3C2×D4×C3⋊D311yescharacteristic
608C2×C3#6436612yes—
609D3—41no—
610D3—124no—
611D3—188no—
612D3—188no—
613D3—182no—
614D3—182no—
615D3—368no—
616D3—368no—
617D3—3616no—
618D3—368no—
619D3—362no—
620C22—22no—
621C22—62no—
622C22—61no—
623C22—182no—
624C22—181no—
625C22—272no—
626C22—272no—
627C22—542no—
628C22—542no—
629C22—542no—
630C22—542no—
631C22—542no—
632C22—1084no—
633C22—1084no—
634C22—1084no—
635C22#8903912yes—
636C22C22×D3×C3⋊D311yescharacteristic
637C4—22no—
638C4—62no—
639C4—61no—
640C4—182no—
641C4—181no—
642C3—24no—
643C3#1059508014yescomplemented
644C3#1059612411yescharacteristic, complemented
645C2—22no—
646C2—121no—
647C2—361no—
648C2—542no—
649C2—542no—
650C2—1082no—
651C2#1172458112yes—
652C2C2×#8903911yescharacteristic
subgroupG/H
center, FrattiniC22C22×D3×C3⋊D3
commutator, socle, cosocleC22×C33C24
FittingC22×C33×C4C22
hypercenterC22×C4D3×C3⋊D3
hypocenterC33#534
LCSG ▷ C22×C33 ▷ C33
UCSC1 ◁ C22 ◁ C22×C4

Complements

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

NH ≅ G/Ntype
1. C22×C4⋊(C3⋊(C3⋊D3))C2semidirect
2. C2×#89039C2semidirect
3. C3×#64138C2semidirect
4. C32×#929C2semidirect
5. #11723639C2semidirect
6. #11723638C2semidirect
7. #11723627C2semidirect
8. #11723542C2semidirect
9. #11723525C2semidirect
10. #11723498C2semidirect
11. #11723486C2semidirect
15. C23×C3⋊(C3⋊D3)C22semidirect
16. C22×D3×C3⋊D3C22semidirect
17. C22×C33×C4C22semidirect
20. C2×C4⋊(C3⋊(C3⋊D3))C22semidirect
24. C2×#6292C22semidirect
25. C2×#6292C22semidirect
26. C2×#6291C22semidirect
27. C2×#6291C22semidirect
28. C2×#6289C22semidirect
29. C2×#6289C22semidirect
30. C3×#3757C22semidirect
31. C3×#3752C22semidirect
32. C3×#3750C22semidirect
33. C32×#217C22semidirect
34. C32×(C2×D3)⋊C4C22semidirect
35. C32×Dic3⋊C4C22semidirect
36. #88804C22semidirect
37. #88804C22semidirect
38. #88804C22semidirect
46. #64138D3semidirect
54. C3×#929D3semidirect
66. C22×C3⋊(C3⋊D3)D4semidirect
102. C22×C32×C4C2×D3semidirect
103. C22×C32×C4C2×D3semidirect
133. #3757C2×D3semidirect
137. #3752C2×D3semidirect
138. #3750C2×D3semidirect
140. C3×#217C2×D3semidirect
142. C3×(C2×D3)⋊C4C2×D3semidirect
144. C3×Dic3⋊C4C2×D3semidirect
180. #929C3⋊D3semidirect
281. C22×C3×C4D32semidirect
282. C22×C3×C4C2×C3⋊D3semidirect
315. #217C2×C3⋊D3semidirect
323. (C2×D3)⋊C4C2×C3⋊D3semidirect
325. Dic3⋊C4C2×C3⋊D3semidirect
394. C33#534semidirect
500. C22×C4D3×C3⋊D3semidirect
568. C32#5653semidirect
569. C32#5653semidirect
643. C3#10595080semidirect
644. C3#10596124semidirect

Maximal subgroups

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

subgroupindex
C22×C4⋊(C3⋊(C3⋊D3))2
C2×#890392
C3×#641382
C32×#9292
#117236392
#117236382
#117236272
#117235422
#117235252
#117234982
#117234862
#105961243
#105950803