Finite Group Databasebeta

← #13148379

Subgroups — #13148379

Order 1728.

728 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11721724C211yesmaximal, characteristic, complemented
2C9×#886C211yesmaximal, characteristic, complemented
3C3×#611⋊C4C211yesmaximal, characteristic, complemented
4#11721290C211yesmaximal, characteristic
5#67×Dic9C211yesmaximal, characteristic, complemented
6#11721259C211yesmaximal, characteristic, complemented
7C2×Dic3⋊Dic9C211yesmaximal, characteristic, complemented
8#11721031C211yesmaximal, characteristic, complemented
9#11721024C211yesmaximal, characteristic, complemented
10#11721021C211yesmaximal, characteristic, complemented
11#11720963C211yesmaximal, characteristic, complemented
12#11720946C211yesmaximal, characteristic, complemented
13#11720945C211yesmaximal, characteristic, complemented
14#11720935C211yesmaximal, characteristic, complemented
15#11720918C211yesmaximal, characteristic, complemented
16#10594177—31nomaximal
17#10589767—31nomaximal
18C22×C3⋊Dic9C2211yescharacteristic
19C2×#6226C2211yescharacteristic
20C2×C9×#67C2211yescharacteristic
21C2×C3×#611C2211yescharacteristic
22C22×C9×Dic3C2211yescharacteristic
23C22×C3×Dic9C2211yescharacteristic
24C2×C3×C4×D9C2211yescharacteristic
25C2×#6194C2211yescharacteristic
26C2×D3×Dic9C2211yescharacteristic
27C3×C9×C22⋊C4C2211yescharacteristic
28#88551C2211yescharacteristic
29C4⋊(C3⋊Dic9)C2211yescharacteristic
30#88534C2211yescharacteristic
31#88534C2211yescharacteristic
32C9×(C2×D3)⋊C4C2211yescharacteristic
33C9×(C2×D3)⋊C4C2211yescharacteristic
34C3×(C2×D9)⋊C4C2211yescharacteristic
35C9×C4⋊Dic3C2211yescharacteristic
36C9×C4⋊Dic3C2211yescharacteristic
37C3×Dic9⋊C4C2211yescharacteristic
38C3×C4×Dic9C2211yescharacteristic
39(C2×D3)⋊Dic9C2211yescharacteristic
40(C2×D3)⋊Dic9C2211yescharacteristic
41(C2×D9)⋊Dic3C2211yescharacteristic
42(C2×D9)⋊Dic3C2211yescharacteristic
43(C2×D9)⋊Dic3C2211yescharacteristic
44Dic3⋊Dic9C2211yescharacteristic
45Dic3⋊Dic9C2211yescharacteristic
46Dic3⋊Dic9C2211yescharacteristic
47Dic3⋊Dic9C2211yescharacteristic
48Dic3⋊Dic9C2211yescharacteristic
49#88442C2211yescharacteristic
50#88442C2211yescharacteristic
51#88442C2211yescharacteristic
52Dic3×Dic9C2211yescharacteristic
53#64087—31no—
54C3×#886D311yescharacteristic
55C3×#67⋊C4—31no—
56#63980—31no—
57Dic3×#67—31no—
58C2×Dic3⋊Dic3—31no—
59#63961—31no—
60#63905—31no—
61#63896—31no—
62#63891—31no—
63#63869—31no—
64#63859—31no—
65#63858—31no—
66#63857—31no—
67#63847—31no—
68C9×#123—31no—
69#63501—31no—
70D4×Dic9—31no—
71#63491—31no—
72C2×C4⋊Dic9—31no—
73#63460—31no—
74#63459—31no—
75#63452—31no—
76#63451—31no—
77#63448—31no—
78#63445—31no—
79#611⋊C4D311yescharacteristic, complemented
80#63441—31no—
81#63440—31no—
82#63440—31no—
83#63440—61no—
84C23×C3×C9C2311yescharacteristic
85C22×D3×C9C2311yescharacteristic
86C22×C3×D9C2311yescharacteristic
87C2×C3×C4×C9C2311yescharacteristic
88C2×C3×C4×C9C2311yescharacteristic
89C2×C3⋊Dic9—41no—
90C2×C3⋊Dic9C2311yescharacteristic
91C2×C3⋊Dic9C2311yescharacteristic
92C2×C3⋊Dic9C2311yescharacteristic
93C2×C3⋊Dic9C2311yescharacteristic
94#6226—41no—
95C9×#67—22no—
96C3×#611—22no—
97C2×C9×Dic3—22no—
98C2×C9×Dic3C2311yescharacteristic
99C2×C9×Dic3C2311yescharacteristic
100C2×C9×Dic3C2311yescharacteristic
101C2×C3×Dic9—41no—
102C2×C3×Dic9C2311yescharacteristic
103C2×C3×Dic9C2311yescharacteristic
104C2×C3×Dic9C2311yescharacteristic
105C3×C4×D9—41no—
106#6194—41no—
107D3×Dic9—41no—
108#5665—91no—
109#5564—91no—
110C22×C3⋊Dic3—31no—
111C2×#634—31no—
112C2×C3×#67—31no—
113C2×C3×#67C2×D311yescharacteristic
114C22×C3×Dic3—31no—
115C22×C3×Dic3C2×D311yescharacteristic
116C2×C3×C4×D3—31no—
117C2×#625—31no—
118C2×D3×Dic3—31no—
119C32×C22⋊C4C2×D311yescharacteristic
120#3757—31no—
121C4⋊(C3⋊Dic3)—31no—
122#3750—31no—
123#3750—31no—
124C3×(C2×D3)⋊C4—31no—
125C3×(C2×D3)⋊C4C2×D311yescharacteristic
126C3×(C2×D3)⋊C4C2×D311yescharacteristic
127C3×C4⋊Dic3C2×D311yescharacteristic
128C3×C4⋊Dic3C2×D311yescharacteristic
129C3×Dic3⋊C4—31no—
130C3×C4×Dic3—31no—
131#3724—31no—
132#3724—31no—
133#3724—31no—
134Dic3⋊Dic3—31no—
135Dic3⋊Dic3—31no—
136Dic3⋊Dic3—31no—
137Dic3⋊Dic3—31no—
138Dic3⋊Dic3—31no—
139(C2×D3)⋊Dic3—31no—
140(C2×D3)⋊Dic3—31no—
141(C2×D3)⋊Dic3—31no—
142(C2×D3)⋊Dic3—31no—
143(C2×D3)⋊Dic3—31no—
144Dic32—31no—
145C2×D4×C9—31no—
146C22×C4×C9—31no—
147C2×#611—31no—
148C2×#611C2×D311yescharacteristic
149C22×Dic9—31no—
150C22×Dic9—31no—
151C22×Dic9—61no—
152C22×Dic9C2×D311yescharacteristic
153C2×C4×D9C2×D311yescharacteristic
154C2×Dic18—31no—
155C2×Dic18—61no—
156C9×C4⋊C4—31no—
157C9×C4⋊C4—31no—
158C9×C22⋊C4—21no—
159C9×C22⋊C4—31no—
160C9×C22⋊C4—31no—
161C9×C22⋊C4C2×D311yescharacteristic
162#3676—31no—
163#3676—31no—
164#3676—31no—
165#3676—61no—
166(C2×D9)⋊C4—31no—
167(C2×D9)⋊C4—31no—
168(C2×D9)⋊C4—31no—
169(C2×D9)⋊C4C2×D311yescharacteristic
170C4⋊Dic9—31no—
171C4⋊Dic9—31no—
172C4⋊Dic9—31no—
173C4⋊Dic9—31no—
174C4⋊Dic9—31no—
175C4⋊Dic9—31no—
176C4⋊Dic9—61no—
177Dic9⋊C4—31no—
178Dic9⋊C4—31no—
179Dic9⋊C4—31no—
180Dic9⋊C4—31no—
181Dic9⋊C4—31no—
182Dic9⋊C4—61no—
183Dic9⋊C4—61no—
184Dic9⋊C4C2×D311yescharacteristic
185C4×Dic9—31no—
186C4×Dic9C2×D311yescharacteristic
187C22×C3×C9—21no—
188C22×C3×C9—21no—
189C22×C3×C9#4112yes—
190C22×C3×C9C2411yescharacteristic
191C2×D3×C9—21no—
192C2×D3×C9—21no—
193C2×D3×C9—21no—
194C2×C3×D9—21no—
195C2×C3×D9—21no—
196C2×C3×D9—21no—
197C3×C4×C9—21no—
198C3×C4×C9—21no—
199C3⋊Dic9—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×#123—31no—
210C3×C4×D4—91no—
211#939—91no—
212#939—91no—
213#935—91no—
214D4×Dic3—91no—
215#929—91no—
216#929—91no—
217C4×#67—91no—
218C2×C4⋊Dic3—91no—
219#924—91no—
220C2×Dic3⋊C4—91no—
221#898—91no—
222#897—91no—
223#896—91no—
224#890—91no—
225#889—91no—
226#889—91no—
227#886—91no—
228#886D911yescharacteristic, complemented
229#883—91no—
230#883—91no—
231#67⋊C4—31no—
232#879—91no—
233#879—91no—
234#878—91no—
235#878—91no—
236#878—91no—
237#878—181no—
238#876—91no—
239#870—91no—
240C23×C32C22×D311yescharacteristic
241C22×C3×D3—31no—
242C22×C3×D3C22×D311yescharacteristic
243C2×C32×C4C22×D311yescharacteristic
244C2×C32×C4C22×D311yescharacteristic
245C2×C3⋊Dic3—31no—
246C2×C3⋊Dic3—31no—
247C2×C3⋊Dic3—31no—
248C2×C3⋊Dic3—31no—
249C2×C3⋊Dic3—121no—
250#634—121no—
251C3×#67—22no—
252C3×#67—62no—
253C2×C3×Dic3—22no—
254C2×C3×Dic3—31no—
255C2×C3×Dic3—31no—
256C2×C3×Dic3—31no—
257C2×C3×Dic3—121no—
258C2×C3×Dic3C22×D311yescharacteristic
259C2×C3×Dic3C22×D311yescharacteristic
260C2×C3×Dic3C22×D311yescharacteristic
261C3×C4×D3—121no—
262#625—121no—
263D3×Dic3—121no—
264C23×C9—21no—
265C23×C9—31no—
266C23×C9C22×D311yescharacteristic
267C22×D9C22×D311yescharacteristic
268D4×C9—62no—
269C2×C4×C9—21no—
270C2×C4×C9—21no—
271C2×C4×C9—31no—
272C2×C4×C9—31no—
273C2×C4×C9—31no—
274C2×C4×C9—62no—
275C2×C4×C9C22×D311yescharacteristic
276C2×C4×C9C22×D311yescharacteristic
277#611—22no—
278#611—121no—
279C2×Dic9—31no—
280C2×Dic9—31no—
281C2×Dic9—31no—
282C2×Dic9—31no—
283C2×Dic9—41no—
284C2×Dic9—61no—
285C2×Dic9—61no—
286C2×Dic9—61no—
287C2×Dic9—61no—
288C2×Dic9—121no—
289C2×Dic9—121no—
290C2×Dic9—122no—
291C2×Dic9C22×D311yescharacteristic
292C2×Dic9C22×D311yescharacteristic
293C2×Dic9C22×D311yescharacteristic
294C4×D9—41no—
295Dic18—121no—
296Dic18—122no—
297#539—271noSylow
298C2×C3×C9—22no—
299C2×C3×C9C2×#4111yescharacteristic
300C2×C3×C9H(5,𝔽2)11yescharacteristic
301C2×C3×C92−1+411yescharacteristic
302D3×C9—41no—
303C3×D9—41no—
304C2×C3×D4—31no—
305C2×C3×D4—91no—
306C22×C3×C4—31no—
307C22×C3×C4—91no—
308C22×C3×C4—91no—
309C2×#67—31no—
310C2×#67—91no—
311C2×#67—91no—
312C2×#67C2×D911yescharacteristic
313C22×Dic3—31no—
314C22×Dic3—91no—
315C22×Dic3—91no—
316C22×Dic3—91no—
317C22×Dic3—181no—
318C22×Dic3C2×D911yescharacteristic
319C2×C4×D3—31no—
320C2×C4×D3—91no—
321C2×Dic6—91no—
322C2×Dic6—91no—
323C2×Dic6—181no—
324C3×C4⋊C4—31no—
325C3×C4⋊C4—31no—
326C3×C4⋊C4—91no—
327C3×C22⋊C4—21no—
328C3×C22⋊C4—31no—
329C3×C22⋊C4—31no—
330C3×C22⋊C4—91no—
331C3×C22⋊C4C2×D911yescharacteristic
332C3×C22⋊C4D3211yescharacteristic
333C3×C42—91no—
334#217—91no—
335#217—91no—
336#217—91no—
337#217—91no—
338#217—91no—
339#217—91no—
340#217—91no—
341#217—181no—
342(C2×D3)⋊C4—31no—
343(C2×D3)⋊C4—91no—
344(C2×D3)⋊C4—91no—
345(C2×D3)⋊C4—91no—
346(C2×D3)⋊C4—91no—
347(C2×D3)⋊C4—91no—
348(C2×D3)⋊C4C2×D911yescharacteristic
349(C2×D3)⋊C4C2×D911yescharacteristic
350C4⋊Dic3—91no—
351C4⋊Dic3—91no—
352C4⋊Dic3—91no—
353C4⋊Dic3—91no—
354C4⋊Dic3—91no—
355C4⋊Dic3—91no—
356C4⋊Dic3—91no—
357C4⋊Dic3—181no—
358C4⋊Dic3C2×D911yescharacteristic
359C4⋊Dic3C2×D911yescharacteristic
360Dic3⋊C4—31no—
361Dic3⋊C4—91no—
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—91no—
374Dic3⋊C4—91no—
375Dic3⋊C4—91no—
376Dic3⋊C4—181no—
377Dic3⋊C4—181no—
378C4×Dic3—31no—
379C4×Dic3—91no—
380C4×Dic3—91no—
381C22×C32—21no—
382C22×C32—21no—
383C22×C32#23712yes—
384C22×C32C23×D311yescharacteristic
385C2×C3×D3—21no—
386C2×C3×D3—21no—
387C2×C3×D3—21no—
388C2×C3×D3—61no—
389C2×C3×D3—61no—
390C2×C3×D3—61no—
391C32×C4—21no—
392C32×C4—21no—
393C3⋊Dic3—61no—
394C3⋊Dic3—61no—
395C3⋊Dic3—61no—
396C3⋊Dic3—61no—
397C3×Dic3—21no—
398C3×Dic3—21no—
399C3×Dic3—21no—
400C3×Dic3—61no—
401C3×Dic3—61no—
402C3×Dic3—61no—
403C22×C9—21no—
404C22×C9—21no—
405C22×C9—21no—
406C22×C9—22no—
407C22×C9—41no—
408C22×C9—41no—
409C22×C9—61no—
410C22×C9—61no—
411C22×C9—61no—
412C22×C9#23512yes—
413C22×C9C23×D311yescharacteristic
414C2×D9—21no—
415C2×D9—21no—
416C2×D9—21no—
417C4×C9—21no—
418C4×C9—21no—
419C4×C9—41no—
420C4×C9—41no—
421C4×C9—61no—
422C4×C9—61no—
423C4×C9—61no—
424Dic9—21no—
425Dic9—21no—
426Dic9—21no—
427Dic9—62no—
428Dic9—61no—
429Dic9—61no—
430Dic9—61no—
431Dic9—61no—
432Dic9—121no—
433Dic9—121no—
434Dic9—121no—
435#126—271no—
436#126—271no—
437#125—271no—
438#125—271no—
439#123—31no—
440#123—271no—
441#123—271no—
442#123—271no—
443C22⋊Q8—271no—
444C22⋊Q8—271no—
445C22⋊Q8—271no—
446#121—271no—
447C4×D4—91no—
448C4×D4—271no—
449C2×C4⋊C4—271no—
450C3×C9#53911yescharacteristic, complemented, Sylow
451C23×C3—21no—
452C23×C3—31no—
453C23×C3—91no—
454C23×C3C22×D911yescharacteristic
455C23×C3C2×D3211yescharacteristic
456C22×D3—31no—
457C22×D3C22×D911yescharacteristic
458C3×D4—62no—
459C3×D4—182no—
460C2×C3×C4—21no—
461C2×C3×C4—21no—
462C2×C3×C4—31no—
463C2×C3×C4—31no—
464C2×C3×C4—31no—
465C2×C3×C4—62no—
466C2×C3×C4—91no—
467C2×C3×C4—91no—
468C2×C3×C4—91no—
469C2×C3×C4—361no—
470C2×C3×C4—361no—
471C2×C3×C4C22×D911yescharacteristic
472C2×C3×C4C22×D911yescharacteristic
473C2×C3×C4C2×D3211yescharacteristic
474C2×C3×C4C2×D3211yescharacteristic
475#67—22no—
476#67—62no—
477#67—361no—
478#67—361no—
479C2×Dic3—22no—
480C2×Dic3—31no—
481C2×Dic3—31no—
482C2×Dic3—31no—
483C2×Dic3—91no—
484C2×Dic3—91no—
485C2×Dic3—91no—
486C2×Dic3—91no—
487C2×Dic3—91no—
488C2×Dic3—91no—
489C2×Dic3—91no—
490C2×Dic3—91no—
491C2×Dic3—121no—
492C2×Dic3—181no—
493C2×Dic3—181no—
494C2×Dic3—181no—
495C2×Dic3—181no—
496C2×Dic3—361no—
497C2×Dic3—361no—
498C2×Dic3—361no—
499C2×Dic3—362no—
500C2×Dic3C22×D911yescharacteristic
501C2×Dic3C22×D911yescharacteristic
502C2×Dic3C22×D911yescharacteristic
503C4×D3—121no—
504C4×D3—361no—
505Dic6—361no—
506Dic6—361no—
507Dic6—362no—
508C2×C32—22no—
509C2×C32C2×#23711yescharacteristic
510C2×C32#100911yescharacteristic
511C2×C32#101011yescharacteristic
512C3×D3—41no—
513C3×D3—121no—
514C2×C9—22no—
515C2×C9—21no—
516C2×C9—21no—
517C2×C9—21no—
518C2×C9—42no—
519C2×C9—121no—
520C2×C9C2×#23511yescharacteristic
521C2×C9#100411yescharacteristic
522C2×C9#101011yescharacteristic
523D9—41no—
524C2×Q8—271no—
525C2×D4—31no—
526C2×D4—91no—
527C2×D4—271no—
528C22×C4—31no—
529C22×C4—91no—
530C22×C4—91no—
531C22×C4—271no—
532C22×C4—271no—
533C4⋊C4—31no—
534C4⋊C4—31no—
535C4⋊C4—91no—
536C4⋊C4—271no—
537C4⋊C4—271no—
538C4⋊C4—271no—
539C4⋊C4—271no—
540C4⋊C4—271no—
541C4⋊C4—271no—
542C4⋊C4—271no—
543C4⋊C4—271no—
544C4⋊C4—271no—
545C4⋊C4—271no—
546C4⋊C4—271no—
547C22⋊C4—31no—
548C22⋊C4—31no—
549C22⋊C4—91no—
550C22⋊C4—271no—
551C22⋊C4—271no—
552C22⋊C4—271no—
553C22⋊C4—271no—
554C22⋊C4—271no—
555C22⋊C4—271no—
556C22⋊C4D3×D911yescharacteristic
557C42—91no—
558C42—271no—
559C22×C3—21no—
560C22×C3—21no—
561C22×C3—21no—
562C22×C3—21no—
563C22×C3—22no—
564C22×C3—21no—
565C22×C3—41no—
566C22×C3—41no—
567C22×C3—61no—
568C22×C3—61no—
569C22×C3—61no—
570C22×C3—181no—
571C22×C3—181no—
572C22×C3—181no—
573C22×C3#369912yes—
574C22×C3C23×D911yescharacteristic
575C22×C3#379512yes—
576C22×C3C22×D3211yescharacteristic
577C2×D3—21no—
578C2×D3—21no—
579C2×D3—21no—
580C2×D3—61no—
581C2×D3—61no—
582C2×D3—61no—
583C3×C4—21no—
584C3×C4—21no—
585C3×C4—21no—
586C3×C4—21no—
587C3×C4—41no—
588C3×C4—41no—
589C3×C4—61no—
590C3×C4—61no—
591C3×C4—61no—
592C3×C4—181no—
593C3×C4—181no—
594C3×C4—181no—
595Dic3—21no—
596Dic3—21no—
597Dic3—21no—
598Dic3—61no—
599Dic3—61no—
600Dic3—61no—
601Dic3—182no—
602Dic3—181no—
603Dic3—181no—
604Dic3—181no—
605Dic3—181no—
606Dic3—181no—
607Dic3—181no—
608Dic3—181no—
609Dic3—181no—
610Dic3—361no—
611Dic3—361no—
612Dic3—361no—
613C32#566511yescharacteristic
614C9—21no—
615C9#556411yescharacteristic, complemented
616C23—31no—
617C23—91no—
618C23C2×D3×D911yescharacteristic
619Q8—1081no—
620D4—62no—
621D4—182no—
622D4—1081no—
623C2×C4—31no—
624C2×C4—31no—
625C2×C4—31no—
626C2×C4—62no—
627C2×C4—91no—
628C2×C4—91no—
629C2×C4—91no—
630C2×C4—271no—
631C2×C4—271no—
632C2×C4—271no—
633C2×C4—271no—
634C2×C4—361no—
635C2×C4—361no—
636C2×C4—1081no—
637C2×C4—1081no—
638C2×C4C2×D3×D911yescharacteristic
639C2×C4C2×D3×D911yescharacteristic
640C2×C3—22no—
641C2×C3—22no—
642C2×C3—21no—
643C2×C3—21no—
644C2×C3—21no—
645C2×C3—42no—
646C2×C3—121no—
647C2×C3—361no—
648C2×C3C2×#369911yescharacteristic
649C2×C3#6371511yescharacteristic
650C2×C3#6371611yescharacteristic
651C2×C3C2×#379511yescharacteristic
652C2×C3#6430911yescharacteristic
653C2×C3#6431411yescharacteristic
654D3—41no—
655D3—121no—
656C22—21no—
657C22—21no—
658C22—61no—
659C22—61no—
660C22—61no—
661C22—181no—
662C22—181no—
663C22—181no—
664C22#8863812yes—
665C22C22×D3×D911yescharacteristic
666C4—21no—
667C4—21no—
668C4—61no—
669C4—61no—
670C4—61no—
671C4—181no—
672C4—181no—
673C4—181no—
674C4—541no—
675C4—541no—
676C4—541no—
677C4—541no—
678C3—21no—
679C3#1058976711yescharacteristic, complemented
680C3#1059417711yescharacteristic
681C2—22no—
682C2—121no—
683C2—361no—
684C2C2×#8863811yescharacteristic
685C2#1172249411yescharacteristic
686C2#1172250111yescharacteristic
subgroupG/H
centerC22C22×D3×D9
commutator, cosocleC22×C3×C9C24
FrattiniC22×C3C22×D32
FittingC3×C9×C22⋊C4C22
socleC22×C32C23×D3
prime radical#11721290C2
hypercenterC22⋊C4D3×D9
hypocenterC3×C9#539
LCSG ▷ C22×C3×C9 ▷ C3×C9
UCSC1 ◁ C22 ◁ C22⋊C4

Complements

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

NH ≅ G/Ntype
1. #11721724C2semidirect
2. C9×#886C2semidirect
3. C3×#611⋊C4C2semidirect
5. #67×Dic9C2semidirect
6. #11721259C2semidirect
7. C2×Dic3⋊Dic9C2semidirect
8. #11721031C2semidirect
9. #11721024C2semidirect
10. #11721021C2semidirect
11. #11720963C2semidirect
12. #11720946C2semidirect
13. #11720945C2semidirect
14. #11720935C2semidirect
15. #11720918C2semidirect
79. #611⋊C4D3semidirect
228. #886D9semidirect
450. C3×C9#539semidirect
615. C9#5564semidirect
679. C3#10589767semidirect

Maximal subgroups

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

subgroupindex
#117217242
C9×#8862
C3×#611⋊C42
#117212902
#67×Dic92
#117212592
C2×Dic3⋊Dic92
#117210312
#117210242
#117210212
#117209632
#117209462
#117209452
#117209352
#117209182
#105941773
#105897673