Finite Group Databasebeta

← #13148972

Subgroups — #13148972

Order 1728.

714 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
1#11721754C211yesmaximal, characteristic, complemented
2C9×#898C211yesmaximal, characteristic, complemented
3C3×#63459C211yesmaximal, characteristic, complemented
4#11721033C211yesmaximal, characteristic
5#11721028C211yesmaximal, characteristic, complemented
6#11721020C211yesmaximal, characteristic, complemented
7#11721018C211yesmaximal, characteristic, complemented
8#11720989C211yesmaximal, characteristic, complemented
9#11720988C211yesmaximal, characteristic, complemented
10#11720985C211yesmaximal, characteristic, complemented
11#11720977C211yesmaximal, characteristic, complemented
12D9×Dic3⋊C4C211yesmaximal, characteristic, complemented
13#11720958C211yesmaximal, characteristic, complemented
14#11720937C211yesmaximal, characteristic, complemented
15#11720927C211yesmaximal, characteristic, complemented
16#10594439—31nomaximal
17#10589809—31nomaximal
18C2×C3×C4×D9C2211yescharacteristic
19C2×C3×Dic18C2211yescharacteristic
20C2×#6195C2211yescharacteristic
21C2×#6194C2211yescharacteristic
22C2×D3×Dic9C2211yescharacteristic
23C2×#6192C2211yescharacteristic
24C2×(C3⋊D9)⋊C4C2211yescharacteristic
25C2×Dic3×D9C2211yescharacteristic
26C2×Dic3×D9C2211yescharacteristic
27C3×C9×C4⋊C4C2211yescharacteristic
28#88536C2211yescharacteristic
29#88536C2211yescharacteristic
30#88536C2211yescharacteristic
31C4⋊(C3⋊Dic9)C2211yescharacteristic
32#88534C2211yescharacteristic
33C4×C3⋊Dic9C2211yescharacteristic
34C9×(C2×D3)⋊C4C2211yescharacteristic
35C9×(C2×D3)⋊C4C2211yescharacteristic
36C9×(C2×D3)⋊C4C2211yescharacteristic
37C3×(C2×D9)⋊C4C2211yescharacteristic
38C3×(C2×D9)⋊C4C2211yescharacteristic
39C9×C4⋊Dic3C2211yescharacteristic
40C9×Dic3⋊C4C2211yescharacteristic
41C4×C9×Dic3C2211yescharacteristic
42C3×C4⋊Dic9C2211yescharacteristic
43C3×C4⋊Dic9C2211yescharacteristic
44(C2×D3)⋊Dic9C2211yescharacteristic
45#88445C2211yescharacteristic
46Dic3⋊Dic9C2211yescharacteristic
47Dic3⋊Dic9C2211yescharacteristic
48#88442C2211yescharacteristic
49#88442C2211yescharacteristic
50Dic9⋊Dic3C2211yescharacteristic
51Dic9⋊Dic3C2211yescharacteristic
52Dic9⋊Dic3C2211yescharacteristic
53#64107—31no—
54C3×#898D311yescharacteristic
55C3×#897—31no—
56#63906—31no—
57#63902—31no—
58#63891—31no—
59#63890—31no—
60#63890—31no—
61#63888—31no—
62#63887—31no—
63#63880—31no—
64D3×Dic3⋊C4—31no—
65#63872—31no—
66#63869—31no—
67#63854—31no—
68C9×#126—31no—
69#63460—31no—
70#63460—61no—
71#63459D311yescharacteristic, complemented
72#63458—31no—
73#63456—31no—
74C4⋊C4×D9—31no—
75#63452—31no—
76#63448—31no—
77#63446—31no—
78#63445—31no—
79#63445—31no—
80#611⋊C4—31no—
81#63440—31no—
82C4×D36—31no—
83#63432—31no—
84C22×C3⋊D9C2311yescharacteristic
85C22×D3×C9C2311yescharacteristic
86C22×C3×D9C2311yescharacteristic
87C2×C3×C4×C9C2311yescharacteristic
88C2×C3×C4×C9C2311yescharacteristic
89C2×C3×C4×C9C2311yescharacteristic
90C2×C3⋊Dic9C2311yescharacteristic
91C2×C3⋊Dic9C2311yescharacteristic
92C2×C3⋊Dic9C2311yescharacteristic
93C2×C9×Dic3C2311yescharacteristic
94C2×C9×Dic3C2311yescharacteristic
95C2×C9×Dic3C2311yescharacteristic
96C2×C3×Dic9C2311yescharacteristic
97C2×C3×Dic9C2311yescharacteristic
98C2×C3×Dic9C2311yescharacteristic
99C3×C4×D9—41no—
100C3×Dic18—41no—
101#6195—41no—
102#6194—22no—
103D3×Dic9—41no—
104#6192—22no—
105(C3⋊D9)⋊C4—41no—
106Dic3×D9—22no—
107Dic3×D9—41no—
108#5707—91no—
109#5645—91no—
110C2×C3×C4×D3—31no—
111C2×C3×Dic6—31no—
112C2×#626—31no—
113C2×#626—31no—
114C2×#625—31no—
115C2×#624—31no—
116C2×D3×Dic3—31no—
117C2×D3×Dic3—31no—
118C2×D3×Dic3—31no—
119C32×C4⋊C4C2×D311yescharacteristic
120#3752—31no—
121#3752—31no—
122#3752—31no—
123C4⋊(C3⋊Dic3)—31no—
124#3750—31no—
125C4×C3⋊Dic3—31no—
126C3×(C2×D3)⋊C4—31no—
127C3×(C2×D3)⋊C4—31no—
128C3×(C2×D3)⋊C4C2×D311yescharacteristic
129C3×(C2×D3)⋊C4C2×D311yescharacteristic
130C3×(C2×D3)⋊C4C2×D311yescharacteristic
131C3×C4⋊Dic3—31no—
132C3×C4⋊Dic3—31no—
133C3×C4⋊Dic3C2×D311yescharacteristic
134C3×Dic3⋊C4C2×D311yescharacteristic
135C3×C4×Dic3C2×D311yescharacteristic
136#3724—31no—
137#3724—31no—
138Dic3⋊Dic3—31no—
139Dic3⋊Dic3—31no—
140Dic3⋊Dic3—31no—
141Dic3⋊Dic3—31no—
142Dic3⋊Dic3—31no—
143#3722—31no—
144(C2×D3)⋊Dic3—31no—
145C2×#611—31no—
146C2×#611—31no—
147C22×Dic9—31no—
148C2×D36—31no—
149C2×C4×D9—31no—
150C2×C4×D9—31no—
151C2×C4×D9—31no—
152C2×C4×D9C2×D311yescharacteristic
153C2×Dic18C2×D311yescharacteristic
154C9×C4⋊C4—21no—
155C9×C4⋊C4—31no—
156C9×C4⋊C4—31no—
157C9×C4⋊C4C2×D311yescharacteristic
158C9×C22⋊C4—31no—
159C9×C22⋊C4—31no—
160C9×C22⋊C4—31no—
161C42×C9—31no—
162#3676—31no—
163(C2×D9)⋊C4—31no—
164(C2×D9)⋊C4—31no—
165(C2×D9)⋊C4—31no—
166(C2×D9)⋊C4—31no—
167(C2×D9)⋊C4—61no—
168(C2×D9)⋊C4—61no—
169(C2×D9)⋊C4—61no—
170(C2×D9)⋊C4C2×D311yescharacteristic
171(C2×D9)⋊C4C2×D311yescharacteristic
172C4⋊Dic9—31no—
173C4⋊Dic9—31no—
174C4⋊Dic9—31no—
175C4⋊Dic9—61no—
176C4⋊Dic9C2×D311yescharacteristic
177C4⋊Dic9C2×D311yescharacteristic
178Dic9⋊C4—31no—
179Dic9⋊C4—31no—
180Dic9⋊C4—31no—
181Dic9⋊C4—31no—
182Dic9⋊C4—31no—
183Dic9⋊C4—31no—
184Dic9⋊C4—61no—
185C4×Dic9—31no—
186C4×Dic9—61no—
187C22×C3×C9C2411yescharacteristic
188C2×C3⋊D9—21no—
189C2×C3⋊D9—21no—
190C2×C3⋊D9—21no—
191C2×D3×C9—21no—
192C2×D3×C9—21no—
193C2×D3×C9—21no—
194C2×C3×D9—21no—
195C2×C3×D9—21no—
196C2×C3×D9#4112yes—
197C3×C4×C9—21no—
198C3×C4×C9—21no—
199C3×C4×C9—21no—
200C3⋊Dic9—21no—
201C3⋊Dic9—21no—
202C3⋊Dic9—21no—
203C9×Dic3—21no—
204C9×Dic3—21no—
205C9×Dic3—21no—
206C3×Dic9—21no—
207C3×Dic9—21no—
208C3×Dic9—21no—
209C3×#126—31no—
210C3×C22⋊Q8—91no—
211#946—91no—
212#946—91no—
213#930—91no—
214C2×Dic3⋊C4—91no—
215#898—91no—
216#898—91no—
217#898—181no—
218#898D911yescharacteristic, complemented
219#897—31no—
220#896—91no—
221#894—91no—
222#894—91no—
223#894—91no—
224D3×C4⋊C4—91no—
225#890—91no—
226#890—91no—
227#890—91no—
228#886—91no—
229#886—91no—
230#886—91no—
231#884—91no—
232#883—91no—
233#883—91no—
234#67⋊C4—91no—
235#67⋊C4—91no—
236#67⋊C4—91no—
237#878—91no—
238C4×D12—91no—
239#870—91no—
240C22×C3⋊D3—31no—
241C22×C3×D3—31no—
242C22×C3×D3C22×D311yescharacteristic
243C2×C32×C4C22×D311yescharacteristic
244C2×C32×C4C22×D311yescharacteristic
245C2×C32×C4C22×D311yescharacteristic
246C2×C3⋊Dic3—31no—
247C2×C3⋊Dic3—31no—
248C2×C3⋊Dic3—31no—
249C2×C3×Dic3—31no—
250C2×C3×Dic3—31no—
251C2×C3×Dic3—31no—
252C2×C3×Dic3C22×D311yescharacteristic
253C2×C3×Dic3C22×D311yescharacteristic
254C2×C3×Dic3C22×D311yescharacteristic
255C3×C4×D3—121no—
256C3×Dic6—121no—
257#626—62no—
258#626—121no—
259#625—62no—
260#624—121no—
261D3×Dic3—62no—
262D3×Dic3—121no—
263D3×Dic3—121no—
264C23×C9—31no—
265C22×D9—31no—
266C22×D9—61no—
267C22×D9C22×D311yescharacteristic
268C2×C4×C9—21no—
269C2×C4×C9—21no—
270C2×C4×C9—21no—
271C2×C4×C9—31no—
272C2×C4×C9—31no—
273C2×C4×C9—31no—
274C2×C4×C9C22×D311yescharacteristic
275C2×C4×C9C22×D311yescharacteristic
276C2×C4×C9C22×D311yescharacteristic
277#611—62no—
278#611—121no—
279C2×Dic9—31no—
280C2×Dic9—31no—
281C2×Dic9—31no—
282C2×Dic9—61no—
283C2×Dic9—61no—
284C2×Dic9—61no—
285C2×Dic9—121no—
286C2×Dic9C22×D311yescharacteristic
287C2×Dic9C22×D311yescharacteristic
288C2×Dic9C22×D311yescharacteristic
289D36—62no—
290C4×D9—41no—
291C4×D9—62no—
292C4×D9—121no—
293C4×D9—121no—
294Dic18—41no—
295#539—271noSylow
296C2×C3×C9C2×#4111yescharacteristic
297C2×C3×C9H(5,𝔽2)11yescharacteristic
298C2×C3×C92−1+411yescharacteristic
299C3⋊D9—41no—
300D3×C9—41no—
301C3×D9—22no—
302C2×C3×Q8—91no—
303C22×C3×C4—91no—
304C2×#67—91no—
305C2×#67—91no—
306C2×#67—91no—
307C2×#67—91no—
308C22×Dic3—91no—
309C22×Dic3—91no—
310C22×Dic3—91no—
311C2×D12—91no—
312C2×D12—91no—
313C2×C4×D3—31no—
314C2×C4×D3—91no—
315C2×C4×D3—91no—
316C2×C4×D3—91no—
317C2×C4×D3—91no—
318C2×C4×D3—91no—
319C2×Dic6—31no—
320C3×C4⋊C4—21no—
321C3×C4⋊C4—31no—
322C3×C4⋊C4—31no—
323C3×C4⋊C4—91no—
324C3×C4⋊C4—91no—
325C3×C4⋊C4C2×D911yescharacteristic
326C3×C4⋊C4D3211yescharacteristic
327C3×C22⋊C4—31no—
328C3×C22⋊C4—31no—
329C3×C22⋊C4—31no—
330C3×C22⋊C4—91no—
331C3×C22⋊C4—91no—
332C3×C42—31no—
333#217—91no—
334(C2×D3)⋊C4—31no—
335(C2×D3)⋊C4—31no—
336(C2×D3)⋊C4—91no—
337(C2×D3)⋊C4—91no—
338(C2×D3)⋊C4—91no—
339(C2×D3)⋊C4—91no—
340(C2×D3)⋊C4—91no—
341(C2×D3)⋊C4—91no—
342(C2×D3)⋊C4—91no—
343(C2×D3)⋊C4—91no—
344(C2×D3)⋊C4—91no—
345(C2×D3)⋊C4—181no—
346(C2×D3)⋊C4—181no—
347(C2×D3)⋊C4—181no—
348(C2×D3)⋊C4C2×D911yescharacteristic
349(C2×D3)⋊C4C2×D911yescharacteristic
350(C2×D3)⋊C4C2×D911yescharacteristic
351C4⋊Dic3—31no—
352C4⋊Dic3—31no—
353C4⋊Dic3—91no—
354C4⋊Dic3—91no—
355C4⋊Dic3—91no—
356C4⋊Dic3—91no—
357C4⋊Dic3—91no—
358C4⋊Dic3—91no—
359C4⋊Dic3—91no—
360C4⋊Dic3—181no—
361C4⋊Dic3C2×D911yescharacteristic
362Dic3⋊C4—91no—
363Dic3⋊C4—91no—
364Dic3⋊C4—91no—
365Dic3⋊C4—91no—
366Dic3⋊C4—91no—
367Dic3⋊C4—91no—
368Dic3⋊C4—91no—
369Dic3⋊C4—91no—
370Dic3⋊C4—91no—
371Dic3⋊C4—91no—
372Dic3⋊C4—91no—
373Dic3⋊C4—181no—
374Dic3⋊C4C2×D911yescharacteristic
375C4×Dic3—91no—
376C4×Dic3—91no—
377C4×Dic3—181no—
378C4×Dic3C2×D911yescharacteristic
379C22×C32C23×D311yescharacteristic
380C2×C3⋊D3—61no—
381C2×C3⋊D3—61no—
382C2×C3⋊D3—61no—
383C2×C3×D3—21no—
384C2×C3×D3—21no—
385C2×C3×D3—21no—
386C2×C3×D3—32no—
387C2×C3×D3—61no—
388C2×C3×D3—61no—
389C32×C4—21no—
390C32×C4—21no—
391C32×C4—21no—
392C3⋊Dic3—61no—
393C3⋊Dic3—61no—
394C3⋊Dic3—61no—
395C3×Dic3—21no—
396C3×Dic3—21no—
397C3×Dic3—21no—
398C3×Dic3—61no—
399C3×Dic3—61no—
400C3×Dic3—61no—
401C22×C9—21no—
402C22×C9—61no—
403C22×C9—61no—
404C22×C9—61no—
405C22×C9C23×D311yescharacteristic
406C2×D9—21no—
407C2×D9—21no—
408C2×D9—61no—
409C2×D9—61no—
410C2×D9—61no—
411C2×D9—121no—
412C2×D9—121no—
413C2×D9—121no—
414C2×D9#23912yes—
415C4×C9—21no—
416C4×C9—21no—
417C4×C9—21no—
418C4×C9—41no—
419C4×C9—41no—
420C4×C9—41no—
421C4×C9—61no—
422C4×C9—61no—
423C4×C9—61no—
424Dic9—21no—
425Dic9—21no—
426Dic9—21no—
427Dic9—61no—
428Dic9—61no—
429Dic9—61no—
430Dic9—121no—
431Dic9—121no—
432Dic9—121no—
433#126—31no—
434#126—271no—
435#125—271no—
436#125—271no—
437#123—271no—
438#123—271no—
439#123—271no—
440#123—271no—
441C22⋊Q8—91no—
442C22⋊Q8—271no—
443C22⋊Q8—271no—
444#121—271no—
445C4×D4—271no—
446C4×D4—271no—
447C2×C4⋊C4—271no—
448C3×C9#53911yescharacteristic, complemented, Sylow
449C23×C3—31no—
450C23×C3—91no—
451C22×D3—31no—
452C22×D3—91no—
453C22×D3—91no—
454C22×D3—181no—
455C22×D3C22×D911yescharacteristic
456C3×Q8—361no—
457C2×C3×C4—21no—
458C2×C3×C4—21no—
459C2×C3×C4—21no—
460C2×C3×C4—31no—
461C2×C3×C4—31no—
462C2×C3×C4—31no—
463C2×C3×C4—91no—
464C2×C3×C4—91no—
465C2×C3×C4—91no—
466C2×C3×C4—361no—
467C2×C3×C4C22×D911yescharacteristic
468C2×C3×C4C22×D911yescharacteristic
469C2×C3×C4C22×D911yescharacteristic
470C2×C3×C4C2×D3211yescharacteristic
471C2×C3×C4C2×D3211yescharacteristic
472C2×C3×C4C2×D3211yescharacteristic
473#67—182no—
474#67—182no—
475#67—182no—
476#67—361no—
477C2×Dic3—31no—
478C2×Dic3—31no—
479C2×Dic3—31no—
480C2×Dic3—91no—
481C2×Dic3—91no—
482C2×Dic3—91no—
483C2×Dic3—91no—
484C2×Dic3—91no—
485C2×Dic3—91no—
486C2×Dic3—181no—
487C2×Dic3—181no—
488C2×Dic3—181no—
489C2×Dic3—182no—
490C2×Dic3—361no—
491C2×Dic3—361no—
492C2×Dic3C22×D911yescharacteristic
493C2×Dic3C22×D911yescharacteristic
494C2×Dic3C22×D911yescharacteristic
495D12—182no—
496D12—361no—
497C4×D3—121no—
498C4×D3—182no—
499C4×D3—361no—
500C4×D3—361no—
501C4×D3—361no—
502C4×D3—361no—
503Dic6—121no—
504C2×C32D3×#4111yescharacteristic
505C2×C32#100911yescharacteristic
506C2×C32#101011yescharacteristic
507C3⋊D3—121no—
508C3×D3—41no—
509C3×D3—62no—
510C2×C9—21no—
511C2×C9—21no—
512C2×C9—21no—
513C2×C9—121no—
514C2×C9#100411yescharacteristic
515C2×C9C2×#23911yescharacteristic
516C2×C9#101011yescharacteristic
517D9—22no—
518D9—121no—
519D9—241no—
520C2×Q8—91no—
521C2×D4—271no—
522C2×D4—271no—
523C2×D4—271no—
524C22×C4—91no—
525C22×C4—271no—
526C22×C4—271no—
527C22×C4—271no—
528C22×C4—271no—
529C4⋊C4—31no—
530C4⋊C4—31no—
531C4⋊C4—91no—
532C4⋊C4—91no—
533C4⋊C4—271no—
534C4⋊C4—271no—
535C4⋊C4—271no—
536C4⋊C4—271no—
537C4⋊C4—271no—
538C4⋊C4—271no—
539C4⋊C4—271no—
540C4⋊C4—271no—
541C4⋊C4—271no—
542C4⋊C4D3×D911yescharacteristic
543C22⋊C4—31no—
544C22⋊C4—31no—
545C22⋊C4—31no—
546C22⋊C4—91no—
547C22⋊C4—91no—
548C22⋊C4—271no—
549C22⋊C4—271no—
550C22⋊C4—271no—
551C22⋊C4—271no—
552C22⋊C4—271no—
553C42—31no—
554C42—271no—
555C22×C3—21no—
556C22×C3—61no—
557C22×C3—61no—
558C22×C3—61no—
559C22×C3—92no—
560C22×C3—181no—
561C22×C3—181no—
562C22×C3C23×D911yescharacteristic
563C22×C3C22×D3211yescharacteristic
564C2×D3—21no—
565C2×D3—21no—
566C2×D3—21no—
567C2×D3—32no—
568C2×D3—61no—
569C2×D3—61no—
570C2×D3—181no—
571C2×D3—181no—
572C2×D3—181no—
573C2×D3—181no—
574C2×D3—181no—
575C2×D3—181no—
576C2×D3—361no—
577C2×D3—361no—
578C2×D3—361no—
579C3×C4—21no—
580C3×C4—21no—
581C3×C4—21no—
582C3×C4—21no—
583C3×C4—21no—
584C3×C4—21no—
585C3×C4—41no—
586C3×C4—41no—
587C3×C4—41no—
588C3×C4—61no—
589C3×C4—61no—
590C3×C4—61no—
591C3×C4—181no—
592C3×C4—181no—
593C3×C4—181no—
594Dic3—21no—
595Dic3—21no—
596Dic3—21no—
597Dic3—61no—
598Dic3—61no—
599Dic3—61no—
600Dic3—181no—
601Dic3—181no—
602Dic3—181no—
603Dic3—181no—
604Dic3—181no—
605Dic3—181no—
606Dic3—361no—
607Dic3—361no—
608Dic3—361no—
609C32#570711yescharacteristic
610C9—21no—
611C9#564511yescharacteristic, complemented
612C23—31no—
613C23—91no—
614C23—271no—
615Q8—361no—
616D4—542no—
617D4—542no—
618D4—1081no—
619C2×C4—31no—
620C2×C4—31no—
621C2×C4—31no—
622C2×C4—91no—
623C2×C4—91no—
624C2×C4—91no—
625C2×C4—271no—
626C2×C4—271no—
627C2×C4—271no—
628C2×C4—361no—
629C2×C4—542no—
630C2×C4—1081no—
631C2×C4—1081no—
632C2×C4—1081no—
633C2×C4C2×D3×D911yescharacteristic
634C2×C4C2×D3×D911yescharacteristic
635C2×C4C2×D3×D911yescharacteristic
636C2×C3—21no—
637C2×C3—21no—
638C2×C3—21no—
639C2×C3—121no—
640C2×C3—182no—
641C2×C3#41×D911yescharacteristic
642C2×C3#6371511yescharacteristic
643C2×C3#6371611yescharacteristic
644C2×C3#6430711yescharacteristic
645C2×C3#6430911yescharacteristic
646C2×C3D3×#23911yescharacteristic
647D3—41no—
648D3—62no—
649D3—361no—
650D3—361no—
651D3—721no—
652C22—61no—
653C22—61no—
654C22—61no—
655C22—92no—
656C22—181no—
657C22—181no—
658C22—541no—
659C22—541no—
660C22—541no—
661C22C22×D3×D911yescharacteristic
662C4—21no—
663C4—21no—
664C4—21no—
665C4—61no—
666C4—61no—
667C4—61no—
668C4—181no—
669C4—181no—
670C4—181no—
671C4—541no—
672C4—541no—
673C4—541no—
674C3—21no—
675C3#1058980911yescharacteristic, complemented
676C3#1059443911yescharacteristic
677C2—121no—
678C2—182no—
679C2—1081no—
680C2#1172247711yescharacteristic
681C2#1172249411yescharacteristic
682C2D9×#23911yescharacteristic
subgroupG/H
centerC22C22×D3×D9
commutator, cosocleC22×C3×C9C24
FrattiniC22×C3C22×D32
FittingC3×C9×C4⋊C4C22
socleC22×C32C23×D3
prime radical#11721033C2
hypercenterC4⋊C4D3×D9
hypocenterC3×C9#539
LCSG ▷ C22×C3×C9 ▷ C3×C9
UCSC1 ◁ C22 ◁ C4⋊C4

Complements

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

NH ≅ G/Ntype
1. #11721754C2semidirect
2. C9×#898C2semidirect
3. C3×#63459C2semidirect
5. #11721028C2semidirect
6. #11721020C2semidirect
7. #11721018C2semidirect
8. #11720989C2semidirect
9. #11720988C2semidirect
10. #11720985C2semidirect
11. #11720977C2semidirect
12. D9×Dic3⋊C4C2semidirect
13. #11720958C2semidirect
14. #11720937C2semidirect
15. #11720927C2semidirect
71. #63459D3semidirect
218. #898D9semidirect
448. C3×C9#539semidirect
611. C9#5645semidirect
675. C3#10589809semidirect

Maximal subgroups

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

subgroupindex
#117217542
C9×#8982
C3×#634592
#117210332
#117210282
#117210202
#117210182
#117209892
#117209882
#117209852
#117209772
D9×Dic3⋊C42
#117209582
#117209372
#117209272
#105944393
#105898093