Finite Group Databasebeta

← #13150311

Subgroups — #13150311

Order 1728.

746 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4⋊(C3⋊Dic9)C211yesmaximal, characteristic, complemented
2C9×#929C211yesmaximal, characteristic, complemented
3C3×#63491C211yesmaximal, characteristic, complemented
4#11721290C211yesmaximal, characteristic
5#67⋊Dic9C211yesmaximal, characteristic, complemented
6#611⋊Dic3C211yesmaximal, characteristic, complemented
7#11721267C211yesmaximal, characteristic, complemented
8#11721023C211yesmaximal, characteristic, complemented
9#11721021C211yesmaximal, characteristic, complemented
10#11720991C211yesmaximal, characteristic, complemented
11#11720989C211yesmaximal, characteristic, complemented
12#11720965C211yesmaximal, characteristic, complemented
13#11720949C211yesmaximal, characteristic, complemented
14#11720915C211yesmaximal, characteristic, complemented
15#11720914C211yesmaximal, characteristic, complemented
16#10594994—31nomaximal
17#10589767—31nomaximal
18C22×C3×C4×C9C2211yescharacteristic
19C22×C3⋊Dic9C2211yescharacteristic
20C22×C3⋊Dic9C2211yescharacteristic
21C2×C9×#67C2211yescharacteristic
22C2×C3×#611C2211yescharacteristic
23C2×#6194C2211yescharacteristic
24C2×D3×Dic9C2211yescharacteristic
25C2×Dic3×D9C2211yescharacteristic
26C2×#6189C2211yescharacteristic
27C4⋊(C3⋊Dic9)C2211yescharacteristic
28C4⋊(C3⋊Dic9)C2211yescharacteristic
29C4⋊(C3⋊Dic9)C2211yescharacteristic
30C4⋊(C3⋊Dic9)C2211yescharacteristic
31C9×#217C2211yescharacteristic
32C3×#3676C2211yescharacteristic
33C9×(C2×D3)⋊C4C2211yescharacteristic
34C9×(C2×D3)⋊C4C2211yescharacteristic
35C3×(C2×D9)⋊C4C2211yescharacteristic
36C3×(C2×D9)⋊C4C2211yescharacteristic
37C9×Dic3⋊C4C2211yescharacteristic
38C9×Dic3⋊C4C2211yescharacteristic
39C3×Dic9⋊C4C2211yescharacteristic
40C3×Dic9⋊C4C2211yescharacteristic
41(C2×D3)⋊Dic9C2211yescharacteristic
42(C2×D3)⋊Dic9C2211yescharacteristic
43(C2×D9)⋊Dic3C2211yescharacteristic
44(C2×D9)⋊Dic3C2211yescharacteristic
45Dic3⋊Dic9C2211yescharacteristic
46Dic3⋊Dic9C2211yescharacteristic
47#88442C2211yescharacteristic
48#88442C2211yescharacteristic
49Dic9⋊Dic3C2211yescharacteristic
50Dic9⋊Dic3C2211yescharacteristic
51Dic3×Dic9C2211yescharacteristic
52Dic3×Dic9C2211yescharacteristic
53C2×C4⋊(C3⋊Dic3)—31no—
54C3×#929—31no—
55C3×#929D311yescharacteristic
56#63982—31no—
57#63980—31no—
58#67⋊Dic3—31no—
59#67⋊Dic3—31no—
60#63893—31no—
61#63893—31no—
62#63891—31no—
63#63891—31no—
64#63861—31no—
65#63861—31no—
66#63845—31no—
67#63845—31no—
68C9×#123—31no—
69#63501—31no—
70D4×Dic9—31no—
71#63491D311yescharacteristic, complemented
72C2×C4⋊Dic9—31no—
73C2×C4⋊Dic9—61no—
74#63460—31no—
75#63459—31no—
76#63452—31no—
77#63451—31no—
78#63448—31no—
79#63445—31no—
80#611⋊C4—31no—
81#63441—31no—
82#63440—31no—
83#63440—31no—
84C23×C3×C9C2311yescharacteristic
85C22×D3×C9C2311yescharacteristic
86C22×C3×D9C2311yescharacteristic
87C2×C3×C4×C9—22no—
88C2×C3×C4×C9C2311yescharacteristic
89C2×C3×C4×C9C2311yescharacteristic
90C2×C3⋊Dic9—41no—
91C2×C3⋊Dic9—41no—
92C2×C3⋊Dic9C2311yescharacteristic
93C2×C3⋊Dic9C2311yescharacteristic
94C2×C3⋊Dic9C2311yescharacteristic
95C2×C3⋊Dic9C2311yescharacteristic
96C9×#67—22no—
97C3×#611—22no—
98C2×C9×Dic3C2311yescharacteristic
99C2×C9×Dic3C2311yescharacteristic
100C2×C9×Dic3C2311yescharacteristic
101C2×C3×Dic9C2311yescharacteristic
102C2×C3×Dic9C2311yescharacteristic
103C2×C3×Dic9C2311yescharacteristic
104#6194—41no—
105D3×Dic9—41no—
106Dic3×D9—41no—
107#6189—41no—
108#5665—91no—
109#5665—91no—
110C22×C32×C4C2×D311yescharacteristic
111C22×C3⋊Dic3—31no—
112C22×C3⋊Dic3—31no—
113C2×C3×#67—31no—
114C2×C3×#67C2×D311yescharacteristic
115C2×#627—31no—
116C2×#625—31no—
117C2×D3×Dic3—31no—
118C2×D3×Dic3—31no—
119C4⋊(C3⋊Dic3)—31no—
120C4⋊(C3⋊Dic3)—31no—
121C4⋊(C3⋊Dic3)—31no—
122C4⋊(C3⋊Dic3)—31no—
123C3×#217—31no—
124C3×#217C2×D311yescharacteristic
125C3×(C2×D3)⋊C4—31no—
126C3×(C2×D3)⋊C4—31no—
127C3×(C2×D3)⋊C4C2×D311yescharacteristic
128C3×(C2×D3)⋊C4C2×D311yescharacteristic
129C3×Dic3⋊C4—31no—
130C3×Dic3⋊C4—31no—
131C3×Dic3⋊C4C2×D311yescharacteristic
132C3×Dic3⋊C4C2×D311yescharacteristic
133#3724—31no—
134#3724—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—
143Dic32—31no—
144Dic32—31no—
145C2×D4×C9—31no—
146C22×C4×C9—21no—
147C22×C4×C9C2×D311yescharacteristic
148C2×#611—31no—
149C2×#611C2×D311yescharacteristic
150C22×Dic9—31no—
151C22×Dic9—31no—
152C22×Dic9—31no—
153C22×Dic9—61no—
154C22×Dic9—61no—
155C2×C4×D9—31no—
156C2×Dic18—31no—
157C9×C4⋊C4—31no—
158C9×C4⋊C4—31no—
159C9×C22⋊C4—31no—
160C9×C22⋊C4—31no—
161C9×C22⋊C4—31no—
162#3676—31no—
163#3676—31no—
164#3676C2×D311yescharacteristic
165(C2×D9)⋊C4—31no—
166(C2×D9)⋊C4—31no—
167(C2×D9)⋊C4C2×D311yescharacteristic
168(C2×D9)⋊C4C2×D311yescharacteristic
169C4⋊Dic9—31no—
170C4⋊Dic9—31no—
171C4⋊Dic9—31no—
172C4⋊Dic9—31no—
173C4⋊Dic9—31no—
174C4⋊Dic9—31no—
175C4⋊Dic9—61no—
176C4⋊Dic9—61no—
177C4⋊Dic9—61no—
178C4⋊Dic9—61no—
179Dic9⋊C4—31no—
180Dic9⋊C4—31no—
181Dic9⋊C4—31no—
182Dic9⋊C4—31no—
183Dic9⋊C4C2×D311yescharacteristic
184Dic9⋊C4C2×D311yescharacteristic
185C4×Dic9—31no—
186C4×Dic9—31no—
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×#123—91no—
211#939—91no—
212#939—91no—
213D4×Dic3—91no—
214D4×Dic3—91no—
215#929—31no—
216#929D911yescharacteristic, complemented
217C2×C4⋊Dic3—91no—
218C2×C4⋊Dic3—91no—
219C2×C4⋊Dic3—181no—
220#898—91no—
221#898—91no—
222#897—91no—
223#897—91no—
224#890—91no—
225#890—91no—
226#889—91no—
227#889—91no—
228#886—91no—
229#886—91no—
230#883—91no—
231#883—91no—
232#67⋊C4—91no—
233#67⋊C4—91no—
234#879—91no—
235#879—91no—
236#878—91no—
237#878—91no—
238#878—91no—
239#878—91no—
240C23×C32C22×D311yescharacteristic
241C22×C3×D3—31no—
242C22×C3×D3C22×D311yescharacteristic
243C2×C32×C4—22no—
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—121no—
251C2×C3⋊Dic3—121no—
252C3×#67—22no—
253C3×#67—62no—
254C2×C3×Dic3—31no—
255C2×C3×Dic3—31no—
256C2×C3×Dic3—31no—
257C2×C3×Dic3C22×D311yescharacteristic
258C2×C3×Dic3C22×D311yescharacteristic
259C2×C3×Dic3C22×D311yescharacteristic
260#627—121no—
261#625—121no—
262D3×Dic3—121no—
263D3×Dic3—121no—
264C23×C9—21no—
265C23×C9—31no—
266C23×C9C22×D311yescharacteristic
267C22×D9C22×D311yescharacteristic
268D4×C9—62no—
269C2×C4×C9—24no—
270C2×C4×C9—22no—
271C2×C4×C9—21no—
272C2×C4×C9—21no—
273C2×C4×C9—31no—
274C2×C4×C9—31no—
275C2×C4×C9—31no—
276C2×C4×C9C22×D311yescharacteristic
277C2×C4×C9C22×D311yescharacteristic
278#611—22no—
279#611—121no—
280C2×Dic9—31no—
281C2×Dic9—31no—
282C2×Dic9—31no—
283C2×Dic9—31no—
284C2×Dic9—61no—
285C2×Dic9—61no—
286C2×Dic9—61no—
287C2×Dic9—61no—
288C2×Dic9—121no—
289C2×Dic9—121no—
290C2×Dic9—121no—
291C2×Dic9—122no—
292C2×Dic9—122no—
293C2×Dic9C22×D311yescharacteristic
294C2×Dic9C22×D311yescharacteristic
295C2×Dic9C22×D311yescharacteristic
296C4×D9—121no—
297Dic18—121no—
298#539—271noSylow
299C2×C3×C9—22no—
300C2×C3×C9C2×#4111yescharacteristic
301C2×C3×C9H(5,𝔽2)11yescharacteristic
302C2×C3×C92−1+411yescharacteristic
303D3×C9—41no—
304C3×D9—41no—
305C2×C3×D4—31no—
306C2×C3×D4—91no—
307C22×C3×C4—21no—
308C22×C3×C4C2×D911yescharacteristic
309C22×C3×C4D3211yescharacteristic
310C2×#67—31no—
311C2×#67—91no—
312C2×#67—91no—
313C2×#67C2×D911yescharacteristic
314C22×Dic3—91no—
315C22×Dic3—91no—
316C22×Dic3—91no—
317C22×Dic3—91no—
318C22×Dic3—91no—
319C22×Dic3—91no—
320C22×Dic3—181no—
321C22×Dic3—181no—
322C2×C4×D3—91no—
323C2×C4×D3—91no—
324C2×Dic6—91no—
325C2×Dic6—91no—
326C3×C4⋊C4—31no—
327C3×C4⋊C4—31no—
328C3×C4⋊C4—91no—
329C3×C4⋊C4—91no—
330C3×C22⋊C4—31no—
331C3×C22⋊C4—31no—
332C3×C22⋊C4—31no—
333C3×C22⋊C4—91no—
334C3×C22⋊C4—91no—
335C3×C22⋊C4—91no—
336#217—31no—
337#217—91no—
338#217—91no—
339#217—91no—
340#217—91no—
341#217C2×D911yescharacteristic
342(C2×D3)⋊C4—31no—
343(C2×D3)⋊C4—31no—
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—91no—
358C4⋊Dic3—91no—
359C4⋊Dic3—91no—
360C4⋊Dic3—91no—
361C4⋊Dic3—91no—
362C4⋊Dic3—181no—
363C4⋊Dic3—181no—
364C4⋊Dic3—181no—
365C4⋊Dic3—181no—
366Dic3⋊C4—31no—
367Dic3⋊C4—31no—
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⋊C4C2×D911yescharacteristic
377Dic3⋊C4C2×D911yescharacteristic
378C4×Dic3—91no—
379C4×Dic3—91no—
380C4×Dic3—91no—
381C4×Dic3—91no—
382C22×C32—21no—
383C22×C32—21no—
384C22×C32#23712yes—
385C22×C32C23×D311yescharacteristic
386C2×C3×D3—21no—
387C2×C3×D3—21no—
388C2×C3×D3—21no—
389C2×C3×D3—61no—
390C2×C3×D3—61no—
391C2×C3×D3—61no—
392C32×C4—21no—
393C32×C4—21no—
394C3⋊Dic3—61no—
395C3⋊Dic3—61no—
396C3⋊Dic3—61no—
397C3⋊Dic3—61no—
398C3×Dic3—21no—
399C3×Dic3—21no—
400C3×Dic3—21no—
401C3×Dic3—61no—
402C3×Dic3—61no—
403C3×Dic3—61no—
404C22×C9—22no—
405C22×C9—22no—
406C22×C9—21no—
407C22×C9—21no—
408C22×C9—21no—
409C22×C9—22no—
410C22×C9—61no—
411C22×C9—61no—
412C22×C9—61no—
413C22×C9#23712yes—
414C22×C9C23×D311yescharacteristic
415C2×D9—21no—
416C2×D9—21no—
417C2×D9—21no—
418C4×C9—22no—
419C4×C9—22no—
420C4×C9—21no—
421C4×C9—21no—
422C4×C9—61no—
423C4×C9—61no—
424C4×C9—61no—
425Dic9—21no—
426Dic9—21no—
427Dic9—21no—
428Dic9—61no—
429Dic9—61no—
430Dic9—61no—
431Dic9—61no—
432Dic9—121no—
433Dic9—121no—
434Dic9—121no—
435Dic9—121no—
436#126—271no—
437#126—271no—
438#125—271no—
439#125—271no—
440#123—31no—
441#123—91no—
442#123—271no—
443#123—271no—
444C22⋊Q8—271no—
445C22⋊Q8—271no—
446C22⋊Q8—271no—
447#121—271no—
448C4×D4—271no—
449C4×D4—271no—
450C2×C4⋊C4—271no—
451C3×C9#53911yescharacteristic, complemented, Sylow
452C23×C3—21no—
453C23×C3—31no—
454C23×C3—91no—
455C23×C3C22×D911yescharacteristic
456C23×C3C2×D3211yescharacteristic
457C22×D3—31no—
458C22×D3C22×D911yescharacteristic
459C3×D4—62no—
460C3×D4—182no—
461C2×C3×C4—24no—
462C2×C3×C4—22no—
463C2×C3×C4—22no—
464C2×C3×C4—21no—
465C2×C3×C4—21no—
466C2×C3×C4—31no—
467C2×C3×C4—31no—
468C2×C3×C4—31no—
469C2×C3×C4—91no—
470C2×C3×C4—91no—
471C2×C3×C4—91no—
472C2×C3×C4C22×D911yescharacteristic
473C2×C3×C4C22×D911yescharacteristic
474C2×C3×C4C2×D3211yescharacteristic
475C2×C3×C4C2×D3211yescharacteristic
476#67—22no—
477#67—62no—
478#67—361no—
479#67—361no—
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—181no—
492C2×Dic3—181no—
493C2×Dic3—181no—
494C2×Dic3—181no—
495C2×Dic3—361no—
496C2×Dic3—361no—
497C2×Dic3—361no—
498C2×Dic3—361no—
499C2×Dic3—361no—
500C2×Dic3—361no—
501C2×Dic3—362no—
502C2×Dic3—362no—
503C2×Dic3C22×D911yescharacteristic
504C2×Dic3C22×D911yescharacteristic
505C2×Dic3C22×D911yescharacteristic
506C4×D3—361no—
507C4×D3—361no—
508Dic6—361no—
509Dic6—361no—
510C2×C32—22no—
511C2×C32C2×#23711yescharacteristic
512C2×C32#100911yescharacteristic
513C2×C32#101011yescharacteristic
514C3×D3—41no—
515C3×D3—121no—
516C2×C9—24no—
517C2×C9—22no—
518C2×C9—21no—
519C2×C9—21no—
520C2×C9—21no—
521C2×C9—121no—
522C2×C9C2×#23711yescharacteristic
523C2×C9#100911yescharacteristic
524C2×C9#101011yescharacteristic
525D9—41no—
526C2×Q8—271no—
527C2×D4—31no—
528C2×D4—91no—
529C2×D4—271no—
530C22×C4—271no—
531C22×C4—271no—
532C22×C4—271no—
533C22×C4—271no—
534C22×C4D3×D911yescharacteristic
535C4⋊C4—31no—
536C4⋊C4—31no—
537C4⋊C4—91no—
538C4⋊C4—91no—
539C4⋊C4—271no—
540C4⋊C4—271no—
541C4⋊C4—271no—
542C4⋊C4—271no—
543C4⋊C4—271no—
544C4⋊C4—271no—
545C4⋊C4—271no—
546C4⋊C4—271no—
547C4⋊C4—271no—
548C4⋊C4—271no—
549C22⋊C4—31no—
550C22⋊C4—31no—
551C22⋊C4—31no—
552C22⋊C4—91no—
553C22⋊C4—91no—
554C22⋊C4—91no—
555C22⋊C4—271no—
556C22⋊C4—271no—
557C22⋊C4—271no—
558C22⋊C4—271no—
559C42—271no—
560C42—271no—
561C22×C3—22no—
562C22×C3—22no—
563C22×C3—21no—
564C22×C3—21no—
565C22×C3—21no—
566C22×C3—21no—
567C22×C3—21no—
568C22×C3—22no—
569C22×C3—61no—
570C22×C3—61no—
571C22×C3—61no—
572C22×C3—181no—
573C22×C3—181no—
574C22×C3—181no—
575C22×C3#369912yes—
576C22×C3C23×D911yescharacteristic
577C22×C3#380512yes—
578C22×C3C22×D3211yescharacteristic
579C2×D3—21no—
580C2×D3—21no—
581C2×D3—21no—
582C2×D3—61no—
583C2×D3—61no—
584C2×D3—61no—
585C3×C4—22no—
586C3×C4—22no—
587C3×C4—21no—
588C3×C4—21no—
589C3×C4—21no—
590C3×C4—21no—
591C3×C4—61no—
592C3×C4—61no—
593C3×C4—61no—
594C3×C4—181no—
595C3×C4—181no—
596C3×C4—181no—
597Dic3—21no—
598Dic3—21no—
599Dic3—21no—
600Dic3—61no—
601Dic3—61no—
602Dic3—61no—
603Dic3—181no—
604Dic3—181no—
605Dic3—181no—
606Dic3—181no—
607Dic3—181no—
608Dic3—181no—
609Dic3—181no—
610Dic3—181no—
611Dic3—361no—
612Dic3—361no—
613Dic3—361no—
614Dic3—361no—
615C32#566511yescharacteristic
616C9—21no—
617C9#566511yescharacteristic, complemented
618C23—31no—
619C23—91no—
620C23C2×D3×D911yescharacteristic
621Q8—1081no—
622D4—62no—
623D4—182no—
624D4—1081no—
625C2×C4—22no—
626C2×C4—31no—
627C2×C4—31no—
628C2×C4—31no—
629C2×C4—91no—
630C2×C4—91no—
631C2×C4—91no—
632C2×C4—271no—
633C2×C4—271no—
634C2×C4—271no—
635C2×C4—271no—
636C2×C4—1081no—
637C2×C4—1081no—
638C2×C4—1081no—
639C2×C4—1081no—
640C2×C4C2×D3×D911yescharacteristic
641C2×C4C2×D3×D911yescharacteristic
642C2×C3—24no—
643C2×C3—22no—
644C2×C3—22no—
645C2×C3—21no—
646C2×C3—21no—
647C2×C3—21no—
648C2×C3—121no—
649C2×C3—361no—
650C2×C3C2×#369911yescharacteristic
651C2×C3#6371511yescharacteristic
652C2×C3#6371611yescharacteristic
653C2×C3#6429811yescharacteristic
654C2×C3#6430811yescharacteristic
655C2×C3C2×#380511yescharacteristic
656D3—41no—
657D3—121no—
658C22—21no—
659C22—21no—
660C22—61no—
661C22—61no—
662C22—61no—
663C22—181no—
664C22—181no—
665C22—181no—
666C22#8866312yes—
667C22C22×D3×D911yescharacteristic
668C4—21no—
669C4—21no—
670C4—61no—
671C4—61no—
672C4—61no—
673C4—181no—
674C4—181no—
675C4—181no—
676C4—541no—
677C4—541no—
678C4—541no—
679C4—541no—
680C3—21no—
681C3#1058976711yescharacteristic, complemented
682C3#1059499411yescharacteristic
683C2—22no—
684C2—121no—
685C2—361no—
686C2#1172246511yescharacteristic
687C2#1172247811yescharacteristic
688C2C2×#8866311yescharacteristic
subgroupG/H
centerC22C22×D3×D9
commutator, cosocleC22×C3×C9C24
FrattiniC22×C3C22×D32
FittingC22×C3×C4×C9C22
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. C2×C4⋊(C3⋊Dic9)C2semidirect
2. C9×#929C2semidirect
3. C3×#63491C2semidirect
5. #67⋊Dic9C2semidirect
6. #611⋊Dic3C2semidirect
7. #11721267C2semidirect
8. #11721023C2semidirect
9. #11721021C2semidirect
10. #11720991C2semidirect
11. #11720989C2semidirect
12. #11720965C2semidirect
13. #11720949C2semidirect
14. #11720915C2semidirect
15. #11720914C2semidirect
71. #63491D3semidirect
216. #929D9semidirect
451. C3×C9#539semidirect
617. C9#5665semidirect
681. C3#10589767semidirect

Maximal subgroups

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

subgroupindex
C2×C4⋊(C3⋊Dic9)2
C9×#9292
C3×#634912
#117212902
#67⋊Dic92
#611⋊Dic32
#117212672
#117210232
#117210212
#117209912
#117209892
#117209652
#117209492
#117209152
#117209142
#105949943
#105897673