Finite Group Databasebeta

← #123×AGL(1,ℤ/9) #13153063

Subgroups — #123×AGL(1,ℤ/9) #13153063

Order 1728.

1065 conjugacy classes of subgroups.

The subgroup lattice has 560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×AGL(1,ℤ/9)C211yesmaximal, characteristic
2C22×C4×AGL(1,ℤ/9)C211yesmaximal, characteristic, complemented
33−1+2×#123C211yesmaximal, characteristic, complemented
4#63497⋊C3C211yesmaximal, characteristic, complemented
5#63491⋊C3C211yesmaximal, characteristic, complemented
6#63456⋊C3C212yesmaximal, complemented
7C4⋊C4×AGL(1,ℤ/9)C212yesmaximal, complemented
8#63448⋊C3C211yesmaximal, characteristic, complemented
9#63445⋊C3C212yesmaximal, complemented
10C22⋊C4×AGL(1,ℤ/9)C212yesmaximal, complemented
11C22⋊C4×AGL(1,ℤ/9)C211yesmaximal, characteristic, complemented
12C3×D3×#123—31nomaximal
13D9×#123C311yesmaximal, characteristic, complemented
14C23×AGL(1,ℤ/9)C2211yescharacteristic
15C23×AGL(1,ℤ/9)C2211yescharacteristic
16C2×D4×3−1+2C2211yescharacteristic
17C22×C4×3−1+2C2211yescharacteristic, complemented
18C2×#611⋊C3C2211yescharacteristic
19C2×#611⋊C3C2211yescharacteristic
20C22×3−1+2⋊C4C2211yescharacteristic, complemented
21D4×AGL(1,ℤ/9)—24no—
22C2×C4⋊AGL(1,ℤ/9)C2211yescharacteristic
23C2×C4×AGL(1,ℤ/9)—24no—
24C2×C4×AGL(1,ℤ/9)C2211yescharacteristic
25C2×C4×AGL(1,ℤ/9)C2212yes—
26C2×C4×AGL(1,ℤ/9)C2212yes—
27C2×C4×AGL(1,ℤ/9)C2212yescomplemented
28C4⋊C4×3−1+2C2212yescomplemented
29C22⋊C4×3−1+2C2212yescomplemented
30C22⋊C4×3−1+2C2211yescharacteristic, complemented
31#3676⋊C3C2211yescharacteristic, complemented
32#3676⋊C3C2212yescomplemented
33(C2×AGL(1,ℤ/9))⋊C4C2212yescomplemented
34(C2×AGL(1,ℤ/9))⋊C4C2212yescomplemented
35(C2×AGL(1,ℤ/9))⋊C4C2212yescomplemented
36C4⋊(3−1+2⋊C4)C2212yescomplemented
37(3−1+2⋊C4)⋊C4C2212yescomplemented
38(3−1+2⋊C4)⋊C4C2212yescomplemented
39C2×C3×D3×D4—31no—
40C22×C3×C4×D3—31no—
41C32×#123D311yescharacteristic
42C3×#935—31no—
43C3×#929—31no—
44C3×#894—32no—
45C3×D3×C4⋊C4—32no—
46C3×#886—31no—
47C3×#883—32no—
48C3×D3×C22⋊C4—31no—
49C3×D3×C22⋊C4—32no—
50C2×D4×D9C2×C311yescharacteristic
51C22×C4×D9C2×C311yescharacteristic, complemented
52C9×#123—21no—
53C9×#123C2×C311yescharacteristic, complemented
54#63497C2×C311yescharacteristic, complemented
55#63491C2×C311yescharacteristic, complemented
56#63456C2×C312yescomplemented
57C4⋊C4×D9C2×C312yescomplemented
58#63448C2×C311yescharacteristic, complemented
59#63445C2×C312yescomplemented
60C22⋊C4×D9C2×C312yescomplemented
61C22⋊C4×D9C2×C311yescharacteristic, complemented
62C23×3−1+2C2311yescharacteristic
63C23×3−1+2C2311yescharacteristic
64C22×AGL(1,ℤ/9)—24no—
65C22×AGL(1,ℤ/9)—22no—
66C22×AGL(1,ℤ/9)—24no—
67C22×AGL(1,ℤ/9)D414yes—
68C22×AGL(1,ℤ/9)C2311yescharacteristic
69C22×AGL(1,ℤ/9)C2311yescharacteristic
70C22×AGL(1,ℤ/9)C2311yescharacteristic
71D4×3−1+2—22no—
72C2×C4×3−1+2—22no—
73C2×C4×3−1+2C2312yes—
74C2×C4×3−1+2C2311yescharacteristic
75C2×C4×3−1+2C2312yes—
76#611⋊C3—22no—
77#611⋊C3—22no—
78C2×3−1+2⋊C4—22no—
79C2×3−1+2⋊C4C2312yes—
80C2×3−1+2⋊C4C2311yescharacteristic
81C2×3−1+2⋊C4C2312yes—
82C4⋊AGL(1,ℤ/9)—22no—
83C4×AGL(1,ℤ/9)—24no—
84C4×AGL(1,ℤ/9)—24no—
85C4×AGL(1,ℤ/9)—22no—
86C4×AGL(1,ℤ/9)—24no—
87C2×C3×#123—91no—
88D3×#123—31no—
89C23×C3×D3—31no—
90C23×C3×D3—31no—
91C2×C32×D4C2×D311yescharacteristic
92C22×C32×C4C2×D311yescharacteristic
93C2×C3×#67—31no—
94C2×C3×#67—31no—
95C22×C3×Dic3—31no—
96C3×D3×D4—64no—
97C2×C3×D12—31no—
98C2×C3×C4×D3—32no—
99C2×C3×C4×D3—32no—
100C2×C3×C4×D3—32no—
101C2×C3×C4×D3—31no—
102C2×C3×C4×D3—64no—
103C23×D9C22×C311yescharacteristic
104C23×D9C22×C311yescharacteristic
105C32×C4⋊C4C2×D312yes—
106C32×C22⋊C4C2×D312yes—
107C32×C22⋊C4C2×D311yescharacteristic
108C3×#217—32no—
109C3×#217—31no—
110C3×(C2×D3)⋊C4—32no—
111C3×(C2×D3)⋊C4—32no—
112C3×(C2×D3)⋊C4—32no—
113C3×C4⋊Dic3—32no—
114C3×Dic3⋊C4—32no—
115C3×Dic3⋊C4—32no—
116C2×D4×C9—21no—
117C2×D4×C9C22×C311yescharacteristic
118C22×C4×C9—21no—
119C22×C4×C9C22×C311yescharacteristic, complemented
120C2×#611C22×C311yescharacteristic
121C2×#611C22×C311yescharacteristic
122C22×Dic9C22×C311yescharacteristic, complemented
123D4×D9—24no—
124C2×D36C22×C311yescharacteristic
125C2×C4×D9—24no—
126C2×C4×D9C22×C312yes—
127C2×C4×D9C22×C312yes—
128C2×C4×D9C22×C311yescharacteristic
129C2×C4×D9C22×C312yescomplemented
130C9×C4⋊C4—22no—
131C9×C4⋊C4C22×C312yescomplemented
132C9×C22⋊C4—21no—
133C9×C22⋊C4—22no—
134C9×C22⋊C4C22×C312yescomplemented
135C9×C22⋊C4C22×C311yescharacteristic, complemented
136#3676C22×C311yescharacteristic, complemented
137#3676C22×C312yescomplemented
138(C2×D9)⋊C4C22×C312yescomplemented
139(C2×D9)⋊C4C22×C312yescomplemented
140(C2×D9)⋊C4C22×C312yescomplemented
141C4⋊Dic9C22×C312yescomplemented
142Dic9⋊C4C22×C312yescomplemented
143Dic9⋊C4C22×C312yescomplemented
144C22×3−1+2—22no—
145C22×3−1+2—21no—
146C22×3−1+2—22no—
147C22×3−1+2C2×D412yes—
148C22×3−1+2C2411yescharacteristic
149C2×AGL(1,ℤ/9)—22no—
150C2×AGL(1,ℤ/9)—28no—
151C2×AGL(1,ℤ/9)—21no—
152C2×AGL(1,ℤ/9)—22no—
153C2×AGL(1,ℤ/9)—44no—
154C2×AGL(1,ℤ/9)C2×D412yes—
155C2×AGL(1,ℤ/9)C2×D412yes—
156C2×AGL(1,ℤ/9)#4114yes—
157C4×3−1+2—22no—
158C4×3−1+2—21no—
159C4×3−1+2—22no—
1603−1+2⋊C4—22no—
1613−1+2⋊C4—21no—
1623−1+2⋊C4—22no—
163C22×C3×D4—91no—
164C23×C3×C4—91no—
165C2×D3×D4—31no—
166C22×C4×D3—31no—
167C3×#123—31no—
168C3×#123—92no—
169C3×#123—91no—
170C3×#123—92no—
171C3×#123—91no—
172C3×#123—91no—
173C3×#123C3×D311yescharacteristic
174C2×C3×C4⋊C4—92no—
175C2×C3×C22⋊C4—91no—
176C2×C3×C22⋊C4—92no—
177#935—31no—
178#929—31no—
179#894—32no—
180D3×C4⋊C4—32no—
181#886—31no—
182#883—32no—
183D3×C22⋊C4—31no—
184D3×C22⋊C4—32no—
185C23×C32C22×D311yescharacteristic
186C23×C32C22×D311yescharacteristic
187C22×C3×D3—31no—
188C22×C3×D3—34no—
189C22×C3×D3—31no—
190C22×C3×D3—31no—
191C22×C3×D3—64no—
192C22×C3×D3—64no—
193C22×C3×D3—62no—
194C32×D4—22no—
195C2×C32×C4—22no—
196C2×C32×C4C22×D311yescharacteristic
197C2×C32×C4C22×D312yes—
198C2×C32×C4C22×D312yes—
199C3×#67—62no—
200C3×#67—62no—
201C2×C3×Dic3—31no—
202C2×C3×Dic3—32no—
203C2×C3×Dic3—32no—
204C2×C3×Dic3—62no—
205C3×D12—62no—
206C3×C4×D3—64no—
207C3×C4×D3—64no—
208C3×C4×D3—64no—
209C3×C4×D3—62no—
210C23×C9—21no—
211C23×C9—21no—
212C23×C9C23×C311yescharacteristic
213C23×C9C23×C311yescharacteristic
214C22×D9—24no—
215C22×D9—22no—
216C22×D9—24no—
217C22×D9C3×D414yes—
218C22×D9C23×C311yescharacteristic
219C22×D9C23×C311yescharacteristic
220C22×D9C23×C311yescharacteristic
221D4×C9—22no—
222D4×C9—42no—
223C2×C4×C9—22no—
224C2×C4×C9—22no—
225C2×C4×C9—22no—
226C2×C4×C9—21no—
227C2×C4×C9—42no—
228C2×C4×C9C23×C311yescharacteristic
229C2×C4×C9C23×C312yes—
230C2×C4×C9C23×C312yes—
231#611—22no—
232#611—22no—
233C2×Dic9—22no—
234C2×Dic9C23×C311yescharacteristic
235C2×Dic9C23×C312yes—
236C2×Dic9C23×C312yes—
237D36—22no—
238C4×D9—24no—
239C4×D9—24no—
240C4×D9—22no—
241C4×D9—24no—
242C2×#123—91noSylow
243C2×3−1+2—22no—
244C2×3−1+2—41no—
245C2×3−1+2C22×D411yescharacteristic
246C2×3−1+2C2×#4112yes—
247AGL(1,ℤ/9)—22no—
248AGL(1,ℤ/9)—41no—
249AGL(1,ℤ/9)#12314yesdirect product factor
250C24×C3—91no—
251C24×C3—91no—
252C23×D3—31no—
253C23×D3—31no—
254C2×C3×D4—31no—
255C2×C3×D4—91no—
256C2×C3×D4—91no—
257C2×C3×D4—91no—
258C2×C3×D4—184no—
259C2×C3×D4C2×C3×D311yescharacteristic
260C22×C3×C4—31no—
261C22×C3×C4—92no—
262C22×C3×C4—92no—
263C22×C3×C4—91no—
264C22×C3×C4—92no—
265C22×C3×C4—91no—
266C22×C3×C4—184no—
267C22×C3×C4C2×C3×D311yescharacteristic
268C2×#67—31no—
269C2×#67—31no—
270C22×Dic3—31no—
271D3×D4—64no—
272C2×D12—31no—
273C2×C4×D3—32no—
274C2×C4×D3—32no—
275C2×C4×D3—31no—
276C2×C4×D3—32no—
277C2×C4×D3—64no—
278C3×C4⋊C4—32no—
279C3×C4⋊C4—92no—
280C3×C4⋊C4—92no—
281C3×C4⋊C4—92no—
282C3×C4⋊C4C2×C3×D312yes—
283C3×C22⋊C4—31no—
284C3×C22⋊C4—32no—
285C3×C22⋊C4—92no—
286C3×C22⋊C4—92no—
287C3×C22⋊C4—92no—
288C3×C22⋊C4—91no—
289C3×C22⋊C4—92no—
290C3×C22⋊C4C2×C3×D312yes—
291C3×C22⋊C4C2×C3×D311yescharacteristic
292#217—32no—
293#217—31no—
294(C2×D3)⋊C4—32no—
295(C2×D3)⋊C4—32no—
296(C2×D3)⋊C4—32no—
297C4⋊Dic3—32no—
298Dic3⋊C4—32no—
299Dic3⋊C4—32no—
300C22×C32—22no—
301C22×C32—21no—
302C22×C32—22no—
303C22×C32D3×D412yes—
304C22×C32C23×D311yescharacteristic
305C2×C3×D3—32no—
306C2×C3×D3—34no—
307C2×C3×D3—32no—
308C2×C3×D3—68no—
309C2×C3×D3—62no—
310C2×C3×D3—61no—
311C2×C3×D3—62no—
312C2×C3×D3—124no—
313C32×C4—22no—
314C32×C4—21no—
315C32×C4—22no—
316C3×Dic3—62no—
317C3×Dic3—61no—
318C3×Dic3—62no—
319C22×C9—22no—
320C22×C9—21no—
321C22×C9—22no—
322C22×C9—21no—
323C22×C9—22no—
324C22×C9—42no—
325C22×C9—41no—
326C22×C9—42no—
327C22×C9C2×C3×D412yes—
328C22×C9C24×C311yescharacteristic
329C2×D9—22no—
330C2×D9—28no—
331C2×D9—21no—
332C2×D9—22no—
333C2×D9—44no—
334C2×D9C2×C3×D412yes—
335C2×D9C2×C3×D412yes—
336C2×D9C3×#4114yes—
337C4×C9—22no—
338C4×C9—21no—
339C4×C9—22no—
340C4×C9—42no—
341C4×C9—42no—
342C4×C9—41no—
343Dic9—22no—
344Dic9—21no—
345Dic9—22no—
346C22×D4—91no—
347C23×C4—91no—
348#123—91no—
349#123—91no—
350#123—92no—
351#123—92no—
352#123—91no—
353#123AGL(1,ℤ/9)11yescharacteristic, direct product factor
354C2×C4⋊C4—92no—
355C2×C22⋊C4—91no—
356C2×C22⋊C4—92no—
3573−1+2C2×#12311yescharacteristic, complemented, Sylow
358C23×C3—31no—
359C23×C3—31no—
360C23×C3—91no—
361C23×C3—91no—
362C23×C3—94no—
363C23×C3—91no—
364C23×C3—184no—
365C23×C3—182no—
366C23×C3—184no—
367C23×C3C22×C3×D311yescharacteristic
368C23×C3C22×C3×D311yescharacteristic
369C22×D3—31no—
370C22×D3—31no—
371C22×D3—34no—
372C22×D3—31no—
373C22×D3—64no—
374C22×D3—62no—
375C22×D3—64no—
376C3×D4—22no—
377C3×D4—62no—
378C3×D4—182no—
379C3×D4—182no—
380C3×D4—182no—
381C2×C3×C4—22no—
382C2×C3×C4—32no—
383C2×C3×C4—32no—
384C2×C3×C4—31no—
385C2×C3×C4—62no—
386C2×C3×C4—92no—
387C2×C3×C4—92no—
388C2×C3×C4—91no—
389C2×C3×C4—184no—
390C2×C3×C4—184no—
391C2×C3×C4—184no—
392C2×C3×C4—182no—
393C2×C3×C4—182no—
394C2×C3×C4C22×C3×D311yescharacteristic
395C2×C3×C4C22×C3×D312yes—
396C2×C3×C4C22×C3×D312yes—
397#67—62no—
398#67—62no—
399C2×Dic3—31no—
400C2×Dic3—32no—
401C2×Dic3—32no—
402C2×Dic3—62no—
403D12—62no—
404C4×D3—64no—
405C4×D3—64no—
406C4×D3—64no—
407C4×D3—62no—
408C2×C32—22no—
409C2×C32—41no—
410C2×C32C2×D3×D411yescharacteristic
411C2×C32D3×#4112yes—
412C3×D3—34no—
413C3×D3—62no—
414C3×D3—121no—
415C2×C9—22no—
416C2×C9—21no—
417C2×C9—22no—
418C2×C9—42no—
419C2×C9—41no—
420C2×C9—81no—
421C2×C9C22×C3×D411yescharacteristic
422C2×C9C2×C3×#4112yes—
423D9—22no—
424D9—41no—
425D9C3×#12314yescomplemented
426C24—91no—
427C24—91no—
428C2×D4—91no—
429C2×D4—91no—
430C2×D4—91no—
431C2×D4—184no—
432C2×D4C2×AGL(1,ℤ/9)11yescharacteristic
433C22×C4—91no—
434C22×C4—92no—
435C22×C4—92no—
436C22×C4—91no—
437C22×C4—92no—
438C22×C4—184no—
439C22×C4C2×AGL(1,ℤ/9)11yescharacteristic, complemented
440C4⋊C4—92no—
441C4⋊C4—92no—
442C4⋊C4—92no—
443C4⋊C4C2×AGL(1,ℤ/9)12yescomplemented
444C22⋊C4—91no—
445C22⋊C4—92no—
446C22⋊C4—92no—
447C22⋊C4—92no—
448C22⋊C4—92no—
449C22⋊C4C2×AGL(1,ℤ/9)11yescharacteristic, complemented
450C22⋊C4C2×AGL(1,ℤ/9)12yescomplemented
451C22×C3—22no—
452C22×C3—21no—
453C22×C3—22no—
454C22×C3—31no—
455C22×C3—32no—
456C22×C3—62no—
457C22×C3—61no—
458C22×C3—62no—
459C22×C3—92no—
460C22×C3—94no—
461C22×C3—92no—
462C22×C3—182no—
463C22×C3—181no—
464C22×C3—182no—
465C22×C3—188no—
466C22×C3—364no—
467C22×C3C3×D3×D412yes—
468C22×C3C23×C3×D311yescharacteristic
469C2×D3—32no—
470C2×D3—34no—
471C2×D3—32no—
472C2×D3—68no—
473C2×D3—62no—
474C2×D3—61no—
475C2×D3—62no—
476C2×D3—124no—
477C3×C4—22no—
478C3×C4—21no—
479C3×C4—22no—
480C3×C4—62no—
481C3×C4—61no—
482C3×C4—62no—
483C3×C4—182no—
484C3×C4—181no—
485C3×C4—182no—
486Dic3—62no—
487Dic3—61no—
488Dic3—62no—
489C32D3×#12311yescharacteristic
490C9—21no—
491C9C2×C3×#12311yescharacteristic, complemented
492C23—91no—
493C23—91no—
494C23—94no—
495C23—91no—
496C23—184no—
497C23—182no—
498C23—184no—
499C23C22×AGL(1,ℤ/9)11yescharacteristic
500C23C22×AGL(1,ℤ/9)11yescharacteristic
501D4—22no—
502D4—182no—
503D4—182no—
504D4—182no—
505C2×C4—22no—
506C2×C4—92no—
507C2×C4—92no—
508C2×C4—91no—
509C2×C4—184no—
510C2×C4—184no—
511C2×C4—182no—
512C2×C4—184no—
513C2×C4—182no—
514C2×C4C22×AGL(1,ℤ/9)12yes—
515C2×C4C22×AGL(1,ℤ/9)12yes—
516C2×C4C22×AGL(1,ℤ/9)11yescharacteristic
517C2×C3—22no—
518C2×C3—31no—
519C2×C3—32no—
520C2×C3—41no—
521C2×C3—62no—
522C2×C3—94no—
523C2×C3—121no—
524C2×C3—182no—
525C2×C3—361no—
526C2×C3C2×C3×D3×D411yescharacteristic
527C2×C3C3×D3×#4112yes—
528D3—34no—
529D3—62no—
530D3—121no—
531C22—22no—
532C22—21no—
533C22—22no—
534C22—92no—
535C22—94no—
536C22—92no—
537C22—188no—
538C22—182no—
539C22—181no—
540C22—182no—
541C22—364no—
542C22D4×AGL(1,ℤ/9)12yes—
543C22C23×AGL(1,ℤ/9)11yescharacteristic
544C4—22no—
545C4—21no—
546C4—22no—
547C4—182no—
548C4—181no—
549C4—182no—
550C3—31no—
551C3C3×D3×#12311yescharacteristic
552C2—22no—
553C2—41no—
554C2—94no—
555C2—182no—
556C2—361no—
557C2C2×D4×AGL(1,ℤ/9)11yescharacteristic
558C2#41×AGL(1,ℤ/9)12yes—
subgroupG/H
centerC22C23×AGL(1,ℤ/9)
commutator, cosocleC22×C9C24×C3
Frattini, socleC22×C3C23×C3×D3
Fitting3−1+2×#123C2
prime radicalC2×D4×AGL(1,ℤ/9)C2
hypercenter#123AGL(1,ℤ/9)
hypocenterC9C2×C3×#123
LCSG ▷ C22×C9 ▷ C9
UCSC1 ◁ C22 ◁ #123

Complements

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

NH ≅ G/Ntype
2. C22×C4×AGL(1,ℤ/9)C2semidirect
3. 3−1+2×#123C2semidirect
4. #63497⋊C3C2semidirect
5. #63491⋊C3C2semidirect
6. #63456⋊C3C2semidirect
7. C4⋊C4×AGL(1,ℤ/9)C2semidirect
8. #63448⋊C3C2semidirect
9. #63445⋊C3C2semidirect
10. C22⋊C4×AGL(1,ℤ/9)C2semidirect
11. C22⋊C4×AGL(1,ℤ/9)C2semidirect
13. D9×#123C3semidirect
17. C22×C4×3−1+2C22semidirect
20. C22×3−1+2⋊C4C22semidirect
27. C2×C4×AGL(1,ℤ/9)C22semidirect
28. C4⋊C4×3−1+2C22semidirect
29. C22⋊C4×3−1+2C22semidirect
30. C22⋊C4×3−1+2C22semidirect
31. #3676⋊C3C22semidirect
32. #3676⋊C3C22semidirect
33. (C2×AGL(1,ℤ/9))⋊C4C22semidirect
34. (C2×AGL(1,ℤ/9))⋊C4C22semidirect
35. (C2×AGL(1,ℤ/9))⋊C4C22semidirect
36. C4⋊(3−1+2⋊C4)C22semidirect
37. (3−1+2⋊C4)⋊C4C22semidirect
38. (3−1+2⋊C4)⋊C4C22semidirect
51. C22×C4×D9C2×C3semidirect
53. C9×#123C2×C3semidirect
54. #63497C2×C3semidirect
55. #63491C2×C3semidirect
56. #63456C2×C3semidirect
57. C4⋊C4×D9C2×C3semidirect
58. #63448C2×C3semidirect
59. #63445C2×C3semidirect
60. C22⋊C4×D9C2×C3semidirect
61. C22⋊C4×D9C2×C3semidirect
119. C22×C4×C9C22×C3semidirect
122. C22×Dic9C22×C3semidirect
129. C2×C4×D9C22×C3semidirect
131. C9×C4⋊C4C22×C3semidirect
134. C9×C22⋊C4C22×C3semidirect
135. C9×C22⋊C4C22×C3semidirect
136. #3676C22×C3semidirect
137. #3676C22×C3semidirect
138. (C2×D9)⋊C4C22×C3semidirect
139. (C2×D9)⋊C4C22×C3semidirect
140. (C2×D9)⋊C4C22×C3semidirect
141. C4⋊Dic9C22×C3semidirect
142. Dic9⋊C4C22×C3semidirect
143. Dic9⋊C4C22×C3semidirect
249. AGL(1,ℤ/9)#123direct (N × H)
353. #123AGL(1,ℤ/9)direct (N × H)
357. 3−1+2C2×#123semidirect
425. D9C3×#123semidirect
439. C22×C4C2×AGL(1,ℤ/9)semidirect
443. C4⋊C4C2×AGL(1,ℤ/9)semidirect
449. C22⋊C4C2×AGL(1,ℤ/9)semidirect
450. C22⋊C4C2×AGL(1,ℤ/9)semidirect
491. C9C2×C3×#123semidirect

Maximal subgroups

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

subgroupindex
C2×D4×AGL(1,ℤ/9)2
C22×C4×AGL(1,ℤ/9)2
3−1+2×#1232
#63497⋊C32
#63491⋊C32
#63456⋊C32
C4⋊C4×AGL(1,ℤ/9)2
#63448⋊C32
#63445⋊C32
C22⋊C4×AGL(1,ℤ/9)2
C3×D3×#1233
D9×#1233