Finite Group Databasebeta

← #13150508

Subgroups — #13150508

Order 1728.

748 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×#6233C211yesmaximal, characteristic, complemented
2C4×C9×#67C211yesmaximal, characteristic, complemented
3C2×C3×Dic9⋊C4C211yesmaximal, characteristic, complemented
4#11721288C211yesmaximal, characteristic
5#11721265C211yesmaximal, characteristic, complemented
6#11721255C211yesmaximal, characteristic, complemented
7#11721253C211yesmaximal, characteristic, complemented
8#11720966C211yesmaximal, characteristic, complemented
9#11720957C211yesmaximal, characteristic, complemented
10#11720955C211yesmaximal, characteristic, complemented
11#11720954C211yesmaximal, characteristic, complemented
12#11720928C211yesmaximal, characteristic, complemented
13#11720926C211yesmaximal, characteristic, complemented
14#11720925C211yesmaximal, characteristic, complemented
15#11720923C211yesmaximal, characteristic, complemented
16#10594842—31nomaximal
17#10589666—31nomaximal
18C22×C3×C4×C9C2211yescharacteristic
19C2×#6233C2211yescharacteristic
20C2×C4×C3⋊D9C2211yescharacteristic
21C2×C9×#67C2211yescharacteristic
22C22×C3×Dic9C2211yescharacteristic
23C22×C3×Dic9C2211yescharacteristic
24C2×C4×D3×C9C2211yescharacteristic
25C2×#6195C2211yescharacteristic
26C2×#6189C2211yescharacteristic
27#88551C2211yescharacteristic
28#88536C2211yescharacteristic
29#88534C2211yescharacteristic
30C4×C3⋊Dic9C2211yescharacteristic
31C9×#217C2211yescharacteristic
32C9×(C2×D3)⋊C4C2211yescharacteristic
33C9×Dic3⋊C4C2211yescharacteristic
34C4×C9×Dic3C2211yescharacteristic
35C3×Dic9⋊C4C2211yescharacteristic
36C3×Dic9⋊C4C2211yescharacteristic
37C3×Dic9⋊C4C2211yescharacteristic
38C3×Dic9⋊C4C2211yescharacteristic
39(C2×D3)⋊Dic9C2211yescharacteristic
40(C2×D3)⋊Dic9C2211yescharacteristic
41(C2×D3)⋊Dic9C2211yescharacteristic
42#88445C2211yescharacteristic
43#88445C2211yescharacteristic
44#88445C2211yescharacteristic
45Dic3⋊Dic9C2211yescharacteristic
46Dic3⋊Dic9C2211yescharacteristic
47Dic3⋊Dic9C2211yescharacteristic
48#88442C2211yescharacteristic
49#88442C2211yescharacteristic
50#88442C2211yescharacteristic
51Dic9⋊Dic3C2211yescharacteristic
52Dic9⋊Dic3C2211yescharacteristic
53C4×#638—31no—
54C3×C4×#67D311yescharacteristic
55C2×C3×Dic3⋊C4—31no—
56#63978—31no—
57#63966—31no—
58#63964—31no—
59#63961—31no—
60#63870—31no—
61#63868—31no—
62#63867—31no—
63#63865—31no—
64#63862—31no—
65#63853—31no—
66#63851—31no—
67#63850—31no—
68C4×D4×C9—31no—
69#63501—31no—
70#63497—31no—
71#63491—31no—
72C4×#611—31no—
73C4×#611—61no—
74#63486—31no—
75C2×Dic9⋊C4D311yescharacteristic, complemented
76#63458—31no—
77#63451—31no—
78#63448—31no—
79#63445—31no—
80#63441—31no—
81#63440—31no—
82#63438—31no—
83#63432—31no—
84C23×C3×C9C2311yescharacteristic
85C22×C3⋊D9C2311yescharacteristic
86C22×D3×C9C2311yescharacteristic
87C2×C3×C4×C9—41no—
88C2×C3×C4×C9C2311yescharacteristic
89C2×C3×C4×C9C2311yescharacteristic
90#6233—22no—
91C2×C3⋊Dic9C2311yescharacteristic
92C2×C3⋊Dic9C2311yescharacteristic
93C2×C3⋊Dic9C2311yescharacteristic
94C4×C3⋊D9—41no—
95C9×#67—22no—
96C2×C9×Dic3C2311yescharacteristic
97C2×C9×Dic3C2311yescharacteristic
98C2×C9×Dic3C2311yescharacteristic
99C2×C3×Dic9—22no—
100C2×C3×Dic9—41no—
101C2×C3×Dic9C2311yescharacteristic
102C2×C3×Dic9C2311yescharacteristic
103C2×C3×Dic9C2311yescharacteristic
104C2×C3×Dic9C2311yescharacteristic
105C4×D3×C9—41no—
106#6195—41no—
107#6189—41no—
108#5564—91no—
109#5515—91no—
110C22×C32×C4C2×D311yescharacteristic
111C2×#638—31no—
112C2×C4×C3⋊D3—31no—
113C2×C3×#67C2×D311yescharacteristic
114C22×C3×Dic3—31no—
115C22×C3×Dic3—31no—
116C2×C3×C4×D3C2×D311yescharacteristic
117C2×#627—31no—
118C2×#626—31no—
119#3757—31no—
120#3752—31no—
121#3750—31no—
122C4×C3⋊Dic3—31no—
123C3×#217C2×D311yescharacteristic
124C3×(C2×D3)⋊C4C2×D311yescharacteristic
125C3×Dic3⋊C4—31no—
126C3×Dic3⋊C4—31no—
127C3×Dic3⋊C4—31no—
128C3×Dic3⋊C4—31no—
129C3×Dic3⋊C4C2×D311yescharacteristic
130C3×C4×Dic3C2×D311yescharacteristic
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#3722—31no—
140#3722—31no—
141#3722—31no—
142(C2×D3)⋊Dic3—31no—
143(C2×D3)⋊Dic3—31no—
144(C2×D3)⋊Dic3—31no—
145C2×D4×C9—31no—
146C22×C4×C9—21no—
147C22×C4×C9—31no—
148C22×C4×C9C2×D311yescharacteristic
149C2×#611—31no—
150C2×#611—31no—
151C2×#611—61no—
152C22×Dic9C2×D311yescharacteristic
153C22×Dic9C2×D311yescharacteristic
154C2×C4×D9—31no—
155C2×C4×D9—61no—
156C2×Dic18—31no—
157C9×C4⋊C4—31no—
158C9×C22⋊C4—31no—
159C9×C22⋊C4—31no—
160C42×C9—31no—
161#3676—31no—
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)⋊C4—31no—
170(C2×D9)⋊C4—61no—
171C4⋊Dic9—31no—
172C4⋊Dic9—31no—
173C4⋊Dic9—31no—
174Dic9⋊C4—31no—
175Dic9⋊C4—31no—
176Dic9⋊C4—31no—
177Dic9⋊C4—31no—
178Dic9⋊C4—31no—
179Dic9⋊C4—31no—
180Dic9⋊C4—61no—
181Dic9⋊C4C2×D311yescharacteristic
182Dic9⋊C4C2×D311yescharacteristic
183Dic9⋊C4C2×D311yescharacteristic
184Dic9⋊C4C2×D311yescharacteristic
185C4×Dic9—31no—
186C4×Dic9—61no—
187C22×C3×C9—21no—
188C22×C3×C9—21no—
189C22×C3×C9#4112yes—
190C22×C3×C9C2411yescharacteristic
191C2×C3⋊D9—21no—
192C2×C3⋊D9—21no—
193C2×C3⋊D9—21no—
194C2×D3×C9—21no—
195C2×D3×C9—21no—
196C2×D3×C9—21no—
197C3×C4×C9—21no—
198C3×C4×C9—21no—
199C3⋊Dic9—21no—
200C3⋊Dic9—21no—
201C3⋊Dic9—21no—
202C9×Dic3—21no—
203C9×Dic3—21no—
204C9×Dic3—21no—
205C3×Dic9—21no—
206C3×Dic9—21no—
207C3×Dic9—21no—
208C3×Dic9—21no—
209C3×C4×D4—31no—
210C2×C3×C4⋊C4—91no—
211#939—91no—
212#935—91no—
213#930—91no—
214#929—91no—
215#929—91no—
216#929—91no—
217C4×#67—91no—
218C4×#67—91no—
219C4×#67—181no—
220C4×#67D911yescharacteristic, complemented
221#924—91no—
222#924—91no—
223C2×Dic3⋊C4—31no—
224#898—91no—
225#898—91no—
226#896—91no—
227#896—91no—
228#896—91no—
229#894—91no—
230#894—91no—
231#889—91no—
232#889—91no—
233#889—91no—
234#886—91no—
235#883—91no—
236#879—91no—
237#878—91no—
238#876—91no—
239#870—91no—
240C23×C32C22×D311yescharacteristic
241C22×C3⋊D3—31no—
242C22×C3×D3C22×D311yescharacteristic
243C2×C32×C4—41no—
244C2×C32×C4C22×D311yescharacteristic
245C2×C32×C4C22×D311yescharacteristic
246#638—62no—
247C2×C3⋊Dic3—31no—
248C2×C3⋊Dic3—31no—
249C2×C3⋊Dic3—31no—
250C4×C3⋊D3—121no—
251C3×#67—22no—
252C2×C3×Dic3—31no—
253C2×C3×Dic3—31no—
254C2×C3×Dic3—31no—
255C2×C3×Dic3—31no—
256C2×C3×Dic3—62no—
257C2×C3×Dic3—121no—
258C2×C3×Dic3C22×D311yescharacteristic
259C2×C3×Dic3C22×D311yescharacteristic
260C2×C3×Dic3C22×D311yescharacteristic
261C3×C4×D3—41no—
262#627—121no—
263#626—121no—
264C23×C9—21no—
265C23×C9—31no—
266C23×C9C22×D311yescharacteristic
267C22×D9—31no—
268C22×D9—61no—
269D4×C9—62no—
270C2×C4×C9—21no—
271C2×C4×C9—21no—
272C2×C4×C9—31no—
273C2×C4×C9—31no—
274C2×C4×C9—31no—
275C2×C4×C9—41no—
276C2×C4×C9—42no—
277C2×C4×C9—121no—
278C2×C4×C9C22×D311yescharacteristic
279C2×C4×C9C22×D311yescharacteristic
280#611—64no—
281#611—62no—
282#611—121no—
283C2×Dic9—22no—
284C2×Dic9—31no—
285C2×Dic9—31no—
286C2×Dic9—31no—
287C2×Dic9—41no—
288C2×Dic9—61no—
289C2×Dic9—61no—
290C2×Dic9—61no—
291C2×Dic9C22×D311yescharacteristic
292C2×Dic9C22×D311yescharacteristic
293C2×Dic9C22×D311yescharacteristic
294C2×Dic9C22×D311yescharacteristic
295C4×D9—121no—
296C4×D9—122no—
297Dic18—121no—
298#539—271noSylow
299C2×C3×C9—22no—
300C2×C3×C9C2×#4111yescharacteristic
301C2×C3×C9H(5,𝔽2)11yescharacteristic
302C2×C3×C92−1+411yescharacteristic
303C3⋊D9—41no—
304D3×C9—41no—
305C2×C3×D4—31no—
306C22×C3×C4—21no—
307C22×C3×C4—31no—
308C22×C3×C4—91no—
309C22×C3×C4—91no—
310C22×C3×C4C2×D911yescharacteristic
311C22×C3×C4D3211yescharacteristic
312C2×#67—91no—
313C2×#67—91no—
314C2×#67—91no—
315C2×#67—181no—
316C2×#67C2×D911yescharacteristic
317C22×Dic3—31no—
318C22×Dic3—31no—
319C2×D12—91no—
320C2×C4×D3—91no—
321C2×C4×D3—91no—
322C2×C4×D3—181no—
323C2×C4×D3C2×D911yescharacteristic
324C2×Dic6—91no—
325C2×Dic6—91no—
326C3×C4⋊C4—31no—
327C3×C4⋊C4—91no—
328C3×C4⋊C4—91no—
329C3×C4⋊C4—91no—
330C3×C4⋊C4—91no—
331C3×C22⋊C4—31no—
332C3×C22⋊C4—31no—
333C3×C42—31no—
334#217—91no—
335#217—91no—
336#217—91no—
337#217—91no—
338#217—91no—
339#217—181no—
340#217C2×D911yescharacteristic
341(C2×D3)⋊C4—91no—
342(C2×D3)⋊C4—91no—
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)⋊C4—91no—
349(C2×D3)⋊C4—91no—
350(C2×D3)⋊C4—91no—
351(C2×D3)⋊C4—91no—
352(C2×D3)⋊C4—181no—
353(C2×D3)⋊C4C2×D911yescharacteristic
354C4⋊Dic3—91no—
355C4⋊Dic3—91no—
356C4⋊Dic3—91no—
357C4⋊Dic3—91no—
358C4⋊Dic3—91no—
359Dic3⋊C4—31no—
360Dic3⋊C4—31no—
361Dic3⋊C4—31no—
362Dic3⋊C4—31no—
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⋊C4C2×D911yescharacteristic
378C4×Dic3—91no—
379C4×Dic3—91no—
380C4×Dic3—181no—
381C4×Dic3C2×D911yescharacteristic
382C22×C32—21no—
383C22×C32—21no—
384C22×C32#23512yes—
385C22×C32C23×D311yescharacteristic
386C2×C3⋊D3—61no—
387C2×C3⋊D3—61no—
388C2×C3⋊D3—61no—
389C2×C3×D3—21no—
390C2×C3×D3—21no—
391C2×C3×D3—21no—
392C32×C4—21no—
393C32×C4—21no—
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—
403C3×Dic3—61no—
404C22×C9—21no—
405C22×C9—21no—
406C22×C9—21no—
407C22×C9—22no—
408C22×C9—41no—
409C22×C9—41no—
410C22×C9—61no—
411C22×C9—61no—
412C22×C9—61no—
413C22×C9#23512yes—
414C22×C9C23×D311yescharacteristic
415C2×D9—62no—
416C2×D9—61no—
417C2×D9—61no—
418C2×D9—61no—
419C2×D9—121no—
420C2×D9—121no—
421C4×C9—22no—
422C4×C9—21no—
423C4×C9—21no—
424C4×C9—41no—
425C4×C9—61no—
426C4×C9—61no—
427C4×C9—61no—
428Dic9—21no—
429Dic9—21no—
430Dic9—21no—
431Dic9—21no—
432Dic9—62no—
433Dic9—61no—
434Dic9—61no—
435Dic9—61no—
436Dic9—121no—
437Dic9—121no—
438#126—271no—
439#126—271no—
440#125—271no—
441#125—271no—
442#123—271no—
443#123—271no—
444#123—271no—
445#123—271no—
446C22⋊Q8—271no—
447C22⋊Q8—271no—
448C22⋊Q8—271no—
449#121—271no—
450C4×D4—31no—
451C4×D4—271no—
452C2×C4⋊C4—91no—
453C3×C9#53911yescharacteristic, complemented, Sylow
454C23×C3—21no—
455C23×C3—31no—
456C23×C3C22×D911yescharacteristic
457C23×C3C2×D3211yescharacteristic
458C22×D3—91no—
459C22×D3—91no—
460C22×D3—181no—
461C22×D3C22×D911yescharacteristic
462C3×D4—62no—
463C2×C3×C4—21no—
464C2×C3×C4—21no—
465C2×C3×C4—31no—
466C2×C3×C4—31no—
467C2×C3×C4—31no—
468C2×C3×C4—41no—
469C2×C3×C4—41no—
470C2×C3×C4—42no—
471C2×C3×C4—91no—
472C2×C3×C4—91no—
473C2×C3×C4—91no—
474C2×C3×C4—91no—
475C2×C3×C4—121no—
476C2×C3×C4—182no—
477C2×C3×C4—361no—
478C2×C3×C4C22×D911yescharacteristic
479C2×C3×C4C22×D911yescharacteristic
480C2×C3×C4C2×D3211yescharacteristic
481C2×C3×C4C2×D3211yescharacteristic
482#67—22no—
483#67—184no—
484#67—182no—
485#67—182no—
486#67—361no—
487C2×Dic3—31no—
488C2×Dic3—31no—
489C2×Dic3—31no—
490C2×Dic3—31no—
491C2×Dic3—62no—
492C2×Dic3—91no—
493C2×Dic3—91no—
494C2×Dic3—91no—
495C2×Dic3—91no—
496C2×Dic3—91no—
497C2×Dic3—91no—
498C2×Dic3—121no—
499C2×Dic3—181no—
500C2×Dic3—181no—
501C2×Dic3—181no—
502C2×Dic3C22×D911yescharacteristic
503C2×Dic3C22×D911yescharacteristic
504C2×Dic3C22×D911yescharacteristic
505D12—361no—
506C4×D3—41no—
507C4×D3—361no—
508C4×D3—361no—
509C4×D3—362no—
510Dic6—361no—
511Dic6—361no—
512C2×C32—22no—
513C2×C32C2×#23511yescharacteristic
514C2×C32#100411yescharacteristic
515C2×C32#101011yescharacteristic
516C3⋊D3—121no—
517C3×D3—41no—
518C2×C9—22no—
519C2×C9—21no—
520C2×C9—21no—
521C2×C9—21no—
522C2×C9—42no—
523C2×C9—121no—
524C2×C9C2×#23511yescharacteristic
525C2×C9#100411yescharacteristic
526C2×C9#100711yescharacteristic
527D9—122no—
528D9—121no—
529C2×Q8—271no—
530C2×D4—31no—
531C2×D4—271no—
532C2×D4—271no—
533C22×C4—31no—
534C22×C4—91no—
535C22×C4—91no—
536C22×C4—271no—
537C22×C4D3×D911yescharacteristic
538C4⋊C4—31no—
539C4⋊C4—91no—
540C4⋊C4—91no—
541C4⋊C4—91no—
542C4⋊C4—91no—
543C4⋊C4—271no—
544C4⋊C4—271no—
545C4⋊C4—271no—
546C4⋊C4—271no—
547C4⋊C4—271no—
548C4⋊C4—271no—
549C4⋊C4—271no—
550C4⋊C4—271no—
551C4⋊C4—271no—
552C22⋊C4—31no—
553C22⋊C4—31no—
554C22⋊C4—271no—
555C22⋊C4—271no—
556C22⋊C4—271no—
557C22⋊C4—271no—
558C22⋊C4—271no—
559C22⋊C4—271no—
560C22⋊C4—271no—
561C22⋊C4—271no—
562C42—31no—
563C42—271no—
564C22×C3—21no—
565C22×C3—21no—
566C22×C3—21no—
567C22×C3—21no—
568C22×C3—22no—
569C22×C3—21no—
570C22×C3—41no—
571C22×C3—41no—
572C22×C3—61no—
573C22×C3—61no—
574C22×C3—61no—
575C22×C3#369712yes—
576C22×C3C23×D911yescharacteristic
577C22×C3#379812yes—
578C22×C3C22×D3211yescharacteristic
579C2×D3—21no—
580C2×D3—21no—
581C2×D3—21no—
582C2×D3—182no—
583C2×D3—181no—
584C2×D3—181no—
585C2×D3—181no—
586C2×D3—181no—
587C2×D3—181no—
588C2×D3—181no—
589C2×D3—361no—
590C2×D3—361no—
591C3×C4—22no—
592C3×C4—21no—
593C3×C4—21no—
594C3×C4—21no—
595C3×C4—21no—
596C3×C4—41no—
597C3×C4—61no—
598C3×C4—61no—
599C3×C4—61no—
600C3×C4—181no—
601C3×C4—181no—
602C3×C4—181no—
603C3×C4—181no—
604Dic3—21no—
605Dic3—21no—
606Dic3—21no—
607Dic3—61no—
608Dic3—61no—
609Dic3—61no—
610Dic3—61no—
611Dic3—182no—
612Dic3—181no—
613Dic3—181no—
614Dic3—181no—
615Dic3—181no—
616Dic3—181no—
617Dic3—181no—
618Dic3—361no—
619Dic3—361no—
620C32#556411yescharacteristic
621C9—21no—
622C9#551511yescharacteristic, complemented
623C23—31no—
624C23—271no—
625C23C2×D3×D911yescharacteristic
626Q8—1081no—
627D4—62no—
628D4—542no—
629D4—1081no—
630C2×C4—31no—
631C2×C4—31no—
632C2×C4—31no—
633C2×C4—41no—
634C2×C4—91no—
635C2×C4—91no—
636C2×C4—91no—
637C2×C4—91no—
638C2×C4—121no—
639C2×C4—182no—
640C2×C4—271no—
641C2×C4—271no—
642C2×C4—271no—
643C2×C4—361no—
644C2×C4—1081no—
645C2×C4C2×D3×D911yescharacteristic
646C2×C4C2×D3×D911yescharacteristic
647C2×C3—22no—
648C2×C3—22no—
649C2×C3—21no—
650C2×C3—21no—
651C2×C3—21no—
652C2×C3—42no—
653C2×C3—121no—
654C2×C3C2×#369711yescharacteristic
655C2×C3#6371011yescharacteristic
656C2×C3#6371611yescharacteristic
657C2×C3#6429711yescharacteristic
658C2×C3C2×#379811yescharacteristic
659C2×C3#6433011yescharacteristic
660D3—41no—
661D3—362no—
662D3—361no—
663D3—361no—
664C22—21no—
665C22—21no—
666C22—61no—
667C22—61no—
668C22—61no—
669C22—541no—
670C22—541no—
671C22—541no—
672C22#8864012yes—
673C22C22×D3×D911yescharacteristic
674C4—21no—
675C4—21no—
676C4—61no—
677C4—61no—
678C4—61no—
679C4—181no—
680C4—181no—
681C4—181no—
682C4—181no—
683C4—541no—
684C4—541no—
685C4—541no—
686C3—21no—
687C3#1058966611yescharacteristic, complemented
688C3#1059484211yescharacteristic
689C2—22no—
690C2—121no—
691C2—1081no—
692C2#1172246411yescharacteristic
693C2C2×#8864011yescharacteristic
694C2#1172253511yescharacteristic
subgroupG/H
centerC22C22×D3×D9
commutator, cosocleC22×C3×C9C24
FrattiniC22×C3C22×D32
FittingC22×C3×C4×C9C22
socleC22×C32C23×D3
prime radical#11721288C2
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. C4×#6233C2semidirect
2. C4×C9×#67C2semidirect
3. C2×C3×Dic9⋊C4C2semidirect
5. #11721265C2semidirect
6. #11721255C2semidirect
7. #11721253C2semidirect
8. #11720966C2semidirect
9. #11720957C2semidirect
10. #11720955C2semidirect
11. #11720954C2semidirect
12. #11720928C2semidirect
13. #11720926C2semidirect
14. #11720925C2semidirect
15. #11720923C2semidirect
75. C2×Dic9⋊C4D3semidirect
220. C4×#67D9semidirect
453. C3×C9#539semidirect
622. C9#5515semidirect
687. C3#10589666semidirect

Maximal subgroups

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

subgroupindex
C4×#62332
C4×C9×#672
C2×C3×Dic9⋊C42
#117212882
#117212652
#117212552
#117212532
#117209662
#117209572
#117209552
#117209542
#117209282
#117209262
#117209252
#117209232
#105948423
#105896663