Finite Group Databasebeta

← #72253807

Subgroups — #72253807

Order 2916.

673 conjugacy classes of subgroups; only the 61 normal subgroups are shown.

normal subgroups only

This group has 673 conjugacy classes of subgroups — too many to draw. Only its 61 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13091513C211yesmaximal, characteristic, complemented
23−1+2×(C3⋊D3)⋊C3C211yesmaximal, characteristic, complemented
3#13091511C211yesmaximal, characteristic, complemented
4#66431⋊C3—31nomaximal
5D3×C3⋊AGL(1,ℤ/9)—31nomaximal
6C3×((C3⋊D3)⋊C3)⋊D3—31nomaximal
7((C3⋊D3)⋊C3)⋊D9C311yesmaximal, characteristic, complemented
8(((C3⋊D3)⋊C9)⋊C2)⋊C3—31nomaximal
9(((C3⋊D3)⋊C9)⋊C2)⋊C3—31nomaximal
10H(3,𝔽3)×3−1+2C2211yescharacteristic, complemented, Sylow
11C3⋊(C3⋊AGL(1,ℤ/9))D311yescharacteristic, complemented
12C3×C3⋊#272—31no—
13C3⋊D3×3−1+2D311yescharacteristic, complemented
14C3×C3⋊AGL(1,ℤ/9)—31no—
15C3×C3⋊AGL(1,ℤ/9)—31no—
16C3×C3⋊AGL(1,ℤ/9)—31no—
17C3×C3⋊AGL(1,ℤ/9)—61no—
18C3×C3⋊((C3⋊D3)⋊C3)—31no—
19C3×D3×3−1+2—31no—
20C32×(C3⋊D3)⋊C3D311yescharacteristic
21C9⋊#272C2×C311yescharacteristic, complemented
22#92303—21no—
23#92302—31no—
24#92302—31no—
25#92302—61no—
26#92302—61no—
27#92302—61no—
28#92297C2×C311yescharacteristic, complemented
29#92262—21no—
30#92262—21no—
31#92262—21no—
32#4169⋊C3—31no—
33#4169⋊C3—31no—
34#92259D311yescharacteristic, complemented
35#92259D311yescharacteristic, complemented
36C9×(C3⋊D3)⋊C3—21no—
37C9×(C3⋊D3)⋊C3C2×C311yescharacteristic, complemented
38C3×#1113—91no—
39C3×D3×C3⋊D3—91no—
40C2×C3⋊AGL(1,ℤ/9)—91no—
41#66431—31no—
42((C3⋊D3)⋊C3)⋊D3—31no—
43D3×C3⋊D9—31no—
44D3×AGL(1,ℤ/9)—91no—
45D3×AGL(1,ℤ/9)—91no—
46D3×AGL(1,ℤ/9)—91no—
47D3×AGL(1,ℤ/9)—91no—
48C3×((C3⋊D3)⋊C3)⋊C2—91no—
49C3×((C3⋊D3)⋊C3)⋊C2—91no—
50C3×((C3⋊D3)⋊C3)⋊C2—91no—
51((C3⋊D3)⋊C9)⋊C2—31no—
52((C3⋊D3)⋊C9)⋊C2—31no—
53C32×3−1+2—21no—
54C32×3−1+2C2×D311yescharacteristic, complemented
55C32×3−1+2C2×D311yescharacteristic, complemented
56C32×H(3,𝔽3)C2×D311yescharacteristic
57C9⋊H(3,𝔽3)—21no—
58C9⋊H(3,𝔽3)—21no—
59C9⋊H(3,𝔽3)—21no—
60C9⋊H(3,𝔽3)—21no—
61C9⋊H(3,𝔽3)—41no—
62C9⋊H(3,𝔽3)—41no—
63C9⋊H(3,𝔽3)—41no—
64C9⋊H(3,𝔽3)—41no—
65#6891—21no—
66#6891—21no—
67#6891—21no—
68#6891C2×D311yescharacteristic, complemented
69#6891C2×D311yescharacteristic, complemented
70C9×H(3,𝔽3)—21no—
71C9×H(3,𝔽3)C22×C311yescharacteristic, complemented
72C3×C3⋊(C3⋊D3)—31no—
73C32×C3⋊D3—91no—
74C32×C3⋊D3—91no—
75C32×C3⋊D3—91no—
76C32×C3⋊D3—181no—
77C32×C3⋊D3C3⋊D311yescharacteristic
78C33×D3—31no—
79C2×C3×3−1+2—91no—
80C3⋊#272—31no—
81C3⋊(C3⋊D9)C3×D311yescharacteristic, complemented
82C3⋊AGL(1,ℤ/9)—31no—
83C3⋊AGL(1,ℤ/9)—31no—
84C3⋊AGL(1,ℤ/9)—31no—
85C3⋊AGL(1,ℤ/9)—31no—
86C3⋊AGL(1,ℤ/9)—31no—
87C3⋊AGL(1,ℤ/9)—61no—
88C3⋊AGL(1,ℤ/9)—61no—
89C3⋊AGL(1,ℤ/9)—61no—
90C3⋊AGL(1,ℤ/9)—61no—
91C3⋊AGL(1,ℤ/9)—61no—
92C3⋊AGL(1,ℤ/9)—61no—
93C3⋊AGL(1,ℤ/9)—181no—
94C3⋊AGL(1,ℤ/9)—181no—
95C3×#272—91no—
96C3×#272—91no—
97C3×#272—91no—
98C3×#272—181no—
99C3×#272—181no—
100C3×#272—181no—
101C3⋊((C3⋊D3)⋊C3)—31no—
102C3⋊((C3⋊D3)⋊C3)—61no—
103C9×C3⋊D3—21no—
104C9×C3⋊D3C3×D311yescharacteristic, complemented
105C3×C3⋊D9—31no—
106C3×C3⋊D9—31no—
107C3×C3⋊D9—31no—
108C3×C3⋊D9—61no—
109D3×3−1+2—31no—
110D3×3−1+2—31no—
111D3×3−1+2—31no—
112D3×3−1+2—61no—
113D3×3−1+2—61no—
114D3×3−1+2—61no—
115D3×3−1+2—91no—
116C3×AGL(1,ℤ/9)—91no—
117C3×AGL(1,ℤ/9)—91no—
118C3×AGL(1,ℤ/9)—91no—
119C3×AGL(1,ℤ/9)—91no—
120C3×AGL(1,ℤ/9)—181no—
121C3×AGL(1,ℤ/9)—181no—
122C3×AGL(1,ℤ/9)—181no—
123C3×AGL(1,ℤ/9)—181no—
124C3×(C3⋊D3)⋊C3—21no—
125C3×(C3⋊D3)⋊C3—61no—
126C3×(C3⋊D3)⋊C3—61no—
127C3×(C3⋊D3)⋊C3—61no—
128C3×(C3⋊D3)⋊C3—91no—
129C3×(C3⋊D3)⋊C3—91no—
130C3×(C3⋊D3)⋊C3—91no—
131C3×(C3⋊D3)⋊C3C3×D311yescharacteristic
132C3×D3×C9—31no—
133C3×D3×C9—61no—
134#4181—31no—
135#4181—31no—
136#4181—61no—
137#4181—61no—
138#4181—61no—
139#4169—31no—
140#4169—31no—
141#4169—61no—
142#4169—61no—
143(C3⋊D3)⋊C9—21no—
144(C3⋊D3)⋊C9—21no—
145(C3⋊D3)⋊C9C3×D311yescharacteristic, complemented
146(C3⋊D3)⋊C9C3×D311yescharacteristic, complemented
147C2×C3×C3⋊D3—271no—
148#1113—91no—
149D3×C3⋊D3—91no—
150C3×D32—271no—
151C3×D32—271no—
152C3×D32—271no—
153C3×D32—271no—
154C3×D32—271no—
155C3×D32—271no—
156C2×C3⋊D9—91no—
157C2×AGL(1,ℤ/9)—271no—
158C2×AGL(1,ℤ/9)—271no—
159C2×AGL(1,ℤ/9)—271no—
160((C3⋊D3)⋊C3)⋊C2—91no—
161((C3⋊D3)⋊C3)⋊C2—91no—
162((C3⋊D3)⋊C3)⋊C2—91no—
163D3×D9—91no—
164D3×D9—91no—
165D3×D9—91no—
166D3×D9—91no—
167C34—21no—
168C34D3211yescharacteristic
169C34C2×C3⋊D311yescharacteristic
170C3×3−1+2—21no—
171C3×3−1+2—21no—
172C3×3−1+2—21no—
173C3×3−1+2—21no—
174C3×3−1+2—21no—
175C3×3−1+2—21no—
176C3×3−1+2—21no—
177C3×3−1+2—31no—
178C3×3−1+2—41no—
179C3×3−1+2—41no—
180C3×3−1+2—41no—
181C3×3−1+2—41no—
182C3×3−1+2—61no—
183C3×3−1+2—61no—
184C3×3−1+2—61no—
185C3×3−1+2—61no—
186C3×3−1+2—121no—
187C3×3−1+2—121no—
188C3×3−1+2—121no—
189C3×3−1+2—121no—
190C3×3−1+2—121no—
191C3×3−1+2—121no—
192C3×3−1+2—121no—
193C3×3−1+2—121no—
194C3×3−1+2—121no—
195C3×3−1+2D3211yescharacteristic
196C3×3−1+2D3211yescharacteristic
197C3×3−1+2D3211yescharacteristic
198C3×H(3,𝔽3)—21no—
199C3×H(3,𝔽3)—21no—
200C3×H(3,𝔽3)—41no—
201C3×H(3,𝔽3)—61no—
202C3×H(3,𝔽3)—61no—
203C3×H(3,𝔽3)—61no—
204C3×H(3,𝔽3)—61no—
205C3×H(3,𝔽3)—121no—
206C3×H(3,𝔽3)—121no—
207C3×H(3,𝔽3)C2×C3×D311yescharacteristic
208C32×C9—21no—
209C32×C9—21no—
210C32×C9—21no—
211C32×C9—41no—
212C32×C9C2×C3×D311yescharacteristic, complemented
213C32×C9C2×C3×D311yescharacteristic, complemented
214C32⋊C9—21no—
215C32⋊C9—21no—
216C32⋊C9—21no—
217C32⋊C9—21no—
218C32⋊C9—21no—
219C32⋊C9—21no—
220C32⋊C9—21no—
221C32⋊C9—41no—
222C32⋊C9—41no—
223C32⋊C9—41no—
224C32⋊C9—41no—
225C32⋊C9—41no—
226C32⋊C9—41no—
227C32⋊C9—41no—
228C32⋊C9—41no—
229C32⋊C9—41no—
230C32⋊C9—41no—
231C32⋊C9—41no—
232C32⋊C9—41no—
233C32⋊C9—41no—
234C32⋊C9—41no—
235C32⋊C9C2×C3×D311yescharacteristic, complemented
236C32⋊C9C2×C3×D311yescharacteristic, complemented
237C2×C33—91no—
238C3⋊(C3⋊D3)—31no—
239C3×C3⋊D3—61no—
240C3×C3⋊D3—91no—
241C3×C3⋊D3—91no—
242C3×C3⋊D3—91no—
243C3×C3⋊D3—91no—
244C3×C3⋊D3—91no—
245C3×C3⋊D3—91no—
246C3×C3⋊D3—91no—
247C3×C3⋊D3—91no—
248C3×C3⋊D3—91no—
249C3×C3⋊D3—181no—
250C3×C3⋊D3—181no—
251C3×C3⋊D3—181no—
252C3×C3⋊D3—181no—
253C3×C3⋊D3—181no—
254C3×C3⋊D3—181no—
255C3×C3⋊D3—181no—
256C3×C3⋊D3—271no—
257C3×C3⋊D3—541no—
258C3×C3⋊D3C3×C3⋊D311yescharacteristic
259C32×D3—31no—
260C32×D3—31no—
261C32×D3—61no—
262C32×D3—91no—
263C32×D3—91no—
264C32×D3—181no—
265C32×D3—181no—
266C32×D3—271no—
267C32×D3—271no—
268C32×D3—271no—
269C32×D3—271no—
270C32×D3—271no—
271C32×D3—271no—
272C32×D3—271no—
273C32×D3—541no—
274C32×D3—541no—
275C32×D3—541no—
276C32×D3—541no—
277C32×D3—541no—
278C2×3−1+2—91no—
279C2×3−1+2—91no—
280C2×3−1+2—91no—
281C2×3−1+2—181no—
282C2×3−1+2—181no—
283C2×3−1+2—181no—
284C2×C3×C9—91no—
285C2×C3×C9—181no—
286#272—91no—
287#272—91no—
288#272—91no—
289#272—181no—
290#272—181no—
291#272—181no—
292C3⋊D9—31no—
293C3⋊D9—31no—
294C3⋊D9—31no—
295C3⋊D9—31no—
296C3⋊D9—31no—
297C3⋊D9—61no—
298C3⋊D9—91no—
299C3⋊D9—181no—
300AGL(1,ℤ/9)—91no—
301AGL(1,ℤ/9)—91no—
302AGL(1,ℤ/9)—91no—
303AGL(1,ℤ/9)—91no—
304AGL(1,ℤ/9)—181no—
305AGL(1,ℤ/9)—181no—
306AGL(1,ℤ/9)—181no—
307AGL(1,ℤ/9)—181no—
308AGL(1,ℤ/9)—181no—
309AGL(1,ℤ/9)—181no—
310AGL(1,ℤ/9)—181no—
311AGL(1,ℤ/9)—181no—
312AGL(1,ℤ/9)—181no—
313AGL(1,ℤ/9)—181no—
314AGL(1,ℤ/9)—181no—
315AGL(1,ℤ/9)—182no—
316AGL(1,ℤ/9)—181no—
317AGL(1,ℤ/9)—181no—
318AGL(1,ℤ/9)—181no—
319AGL(1,ℤ/9)—271no—
320AGL(1,ℤ/9)—541no—
321(C3⋊D3)⋊C3—61no—
322(C3⋊D3)⋊C3—91no—
323(C3⋊D3)⋊C3—91no—
324(C3⋊D3)⋊C3—91no—
325(C3⋊D3)⋊C3—181no—
326(C3⋊D3)⋊C3—181no—
327(C3⋊D3)⋊C3—181no—
328(C3⋊D3)⋊C3AGL(1,ℤ/9)11yescharacteristic, complemented
329(C3⋊D3)⋊C3AGL(1,ℤ/9)11yescharacteristic, complemented
330(C3⋊D3)⋊C3AGL(1,ℤ/9)11yescharacteristic, complemented
331D3×C9—31no—
332D3×C9—31no—
333D3×C9—31no—
334D3×C9—61no—
335D3×C9—61no—
336D3×C9—61no—
337D3×C9—181no—
338D3×C9—181no—
339C3×D9—91no—
340C3×D9—91no—
341C3×D9—91no—
342C3×D9—91no—
343C3×D9—181no—
344C3×D9—181no—
345C3×D9—181no—
346C3×D9—181no—
347C2×C3⋊D3—271no—
348C2×C3×D3—811no—
349C2×C3×D3—811no—
350C2×C3×D3—811no—
351C2×C3×D3—811no—
352C2×C3×D3—811no—
353C2×C3×D3—811no—
354D32—271no—
355D32—271no—
356D32—271no—
357D32—271no—
358D32—271no—
359D32—271no—
360C2×D9—271no—
361C2×D9—271no—
362C2×D9—271no—
363C33—21no—
364C33—21no—
365C33—21no—
366C33—31no—
367C33—31no—
368C33—31no—
369C33—41no—
370C33—61no—
371C33—61no—
372C33—61no—
373C33—61no—
374C33—61no—
375C33—61no—
376C33—61no—
377C33—121no—
378C33—121no—
379C33—121no—
380C33—121no—
381C33—121no—
382C33—361no—
383C33—361no—
384C33—361no—
385C33C3×D3211yescharacteristic
386C33D3×C3⋊D311yescharacteristic
387C33C2×C3×C3⋊D311yescharacteristic
3883−1+2—21no—
3893−1+2—21no—
3903−1+2—31no—
3913−1+2—41no—
3923−1+2—61no—
3933−1+2—61no—
3943−1+2—61no—
3953−1+2—61no—
3963−1+2—61no—
3973−1+2—61no—
3983−1+2—61no—
3993−1+2—121no—
4003−1+2—121no—
4013−1+2—121no—
4023−1+2—121no—
4033−1+2—121no—
4043−1+2—122no—
4053−1+2—121no—
4063−1+2—122no—
4073−1+2—121no—
4083−1+2—121no—
4093−1+2—121no—
4103−1+2—121no—
4113−1+2—122no—
4123−1+2—121no—
4133−1+2—121no—
4143−1+2—121no—
4153−1+2—121no—
4163−1+2—121no—
4173−1+2—121no—
4183−1+2—121no—
4193−1+2—121no—
4203−1+2—121no—
4213−1+2—121no—
4223−1+2((C3⋊D3)⋊C3)⋊C211yescharacteristic, complemented
423H(3,𝔽3)—21no—
424H(3,𝔽3)—21no—
425H(3,𝔽3)—21no—
426H(3,𝔽3)—61no—
427H(3,𝔽3)—61no—
428H(3,𝔽3)—121no—
429H(3,𝔽3)—121no—
430H(3,𝔽3)—121no—
431H(3,𝔽3)—121no—
432H(3,𝔽3)—121no—
433H(3,𝔽3)—121no—
434H(3,𝔽3)C2×AGL(1,ℤ/9)11yescharacteristic, complemented
435H(3,𝔽3)C2×AGL(1,ℤ/9)11yescharacteristic, complemented
436H(3,𝔽3)C2×AGL(1,ℤ/9)11yescharacteristic, complemented
437C3×C9—21no—
438C3×C9—21no—
439C3×C9—21no—
440C3×C9—21no—
441C3×C9—21no—
442C3×C9—21no—
443C3×C9—31no—
444C3×C9—41no—
445C3×C9—41no—
446C3×C9—41no—
447C3×C9—61no—
448C3×C9—61no—
449C3×C9—61no—
450C3×C9—61no—
451C3×C9—61no—
452C3×C9—121no—
453C3×C9—121no—
454C3×C9—121no—
455C3×C9—121no—
456C3×C9—121no—
457C3×C9—121no—
458C3×C9—121no—
459C3×C9C3×D3211yescharacteristic
460C3×C9C3×D3211yescharacteristic
461C3×C9C3×D3211yescharacteristic
462C2×C32—91no—
463C2×C32—91no—
464C2×C32—181no—
465C2×C32—271no—
466C2×C32—271no—
467C2×C32—541no—
468C2×C32—811no—
469C2×C32—811no—
470C3⋊D3—91no—
471C3⋊D3—91no—
472C3⋊D3—91no—
473C3⋊D3—91no—
474C3⋊D3—91no—
475C3⋊D3—91no—
476C3⋊D3—181no—
477C3⋊D3—541no—
478C3⋊D3—541no—
479C3⋊D3C3⋊AGL(1,ℤ/9)11yescharacteristic, complemented
480C3×D3—31no—
481C3×D3—31no—
482C3×D3—31no—
483C3×D3—31no—
484C3×D3—91no—
485C3×D3—181no—
486C3×D3—181no—
487C3×D3—271no—
488C3×D3—271no—
489C3×D3—271no—
490C3×D3—271no—
491C3×D3—271no—
492C3×D3—271no—
493C3×D3—271no—
494C3×D3—271no—
495C3×D3—271no—
496C3×D3—271no—
497C3×D3—271no—
498C3×D3—271no—
499C3×D3—271no—
500C3×D3—271no—
501C3×D3—541no—
502C3×D3—541no—
503C3×D3—541no—
504C3×D3—541no—
505C3×D3—541no—
506C3×D3—541no—
507C3×D3—541no—
508C3×D3—541no—
509C3×D3—541no—
510C3×D3—541no—
511C3×D3—541no—
512C3×D3—541no—
513C3×D3—541no—
514C3×D3—541no—
515C3×D3—541no—
516C3×D3—541no—
517C3×D3—541no—
518C3×D3—541no—
519C3×D3—541no—
520C3×D3—541no—
521C3×D3—541no—
522C3×D3—541no—
523C3×D3—541no—
524C3×D3—542no—
525C3×D3—541no—
526C3×D3—541no—
527C3×D3—541no—
528C3×D3—1621no—
529C3×D3—1621no—
530C3×D3—1621no—
531C2×C9—91no—
532C2×C9—91no—
533C2×C9—91no—
534C2×C9—181no—
535C2×C9—181no—
536C2×C9—181no—
537D9—91no—
538D9—91no—
539D9—91no—
540D9—91no—
541D9—181no—
542D9—181no—
543D9—181no—
544D9—181no—
545D9—271no—
546D9—271no—
547C22×C3—2431no—
548C2×D3—811no—
549C2×D3—811no—
550C2×D3—811no—
551C2×D3—811no—
552C2×D3—811no—
553C2×D3—811no—
554C32—21no—
555C32—21no—
556C32—21no—
557C32—21no—
558C32—21no—
559C32—31no—
560C32—61no—
561C32—61no—
562C32—61no—
563C32—61no—
564C32—61no—
565C32—61no—
566C32—61no—
567C32—61no—
568C32—121no—
569C32—121no—
570C32—121no—
571C32—122no—
572C32—121no—
573C32—121no—
574C32—121no—
575C32—121no—
576C32—121no—
577C32—181no—
578C32—181no—
579C32—181no—
580C32—181no—
581C32—181no—
582C32—181no—
583C32—181no—
584C32—361no—
585C32—361no—
586C32—361no—
587C32—361no—
588C32—361no—
589C32—361no—
590C32—362no—
591C32—361no—
592C32—361no—
593C32—361no—
594C32—361no—
595C32—361no—
596C32D3×AGL(1,ℤ/9)11yescharacteristic, complemented
597C32D3×AGL(1,ℤ/9)11yescharacteristic, complemented
598C32D3×AGL(1,ℤ/9)11yescharacteristic, complemented
599C32((C3⋊D3)⋊C3)⋊D311yescharacteristic
600C32C2×C3⋊AGL(1,ℤ/9)11yescharacteristic, complemented
601C32C3×D3×C3⋊D311yescharacteristic
602C9—21no—
603C9—21no—
604C9—31no—
605C9—31no—
606C9—41no—
607C9—61no—
608C9—61no—
609C9—121no—
610C9—121no—
611C9—121no—
612C9—121no—
613C9—121no—
614C9—121no—
615C9C3×((C3⋊D3)⋊C3)⋊C211yescharacteristic, complemented
616C2×C3—91no—
617C2×C3—91no—
618C2×C3—91no—
619C2×C3—91no—
620C2×C3—541no—
621C2×C3—541no—
622C2×C3—811no—
623C2×C3—811no—
624C2×C3—811no—
625C2×C3—811no—
626C2×C3—1621no—
627C2×C3—1621no—
628D3—31no—
629D3—181no—
630D3—271no—
631D3—271no—
632D3—271no—
633D3—271no—
634D3—271no—
635D3—271no—
636D3—271no—
637D3—541no—
638D3—541no—
639D3—541no—
640D3—541no—
641D3—541no—
642D3—811no—
643D3—811no—
644D3—1621no—
645C22—2431noSylow
646C3—21no—
647C3—31no—
648C3—31no—
649C3—61no—
650C3—61no—
651C3—61no—
652C3—61no—
653C3—61no—
654C3—121no—
655C3—121no—
656C3—121no—
657C3—181no—
658C3—361no—
659C3—361no—
660C3C3×((C3⋊D3)⋊C3)⋊D311yescharacteristic
661C3D3×C3⋊AGL(1,ℤ/9)11yescharacteristic
662C2—91no—
663C2—811no—
664C2—811no—
subgroupG/H
center, hypercenterC1G
commutator, cosocle, hypocenterC9×H(3,𝔽3)C22×C3
Frattini, socleC32C3×D3×C3⋊D3
FittingH(3,𝔽3)×3−1+2C22
LCSG ▷ C9×H(3,𝔽3)
UCSC1

Complements

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

NH ≅ G/Ntype
1. #13091513C2semidirect
2. 3−1+2×(C3⋊D3)⋊C3C2semidirect
3. #13091511C2semidirect
7. ((C3⋊D3)⋊C3)⋊D9C3semidirect
10. H(3,𝔽3)×3−1+2C22semidirect
11. C3⋊(C3⋊AGL(1,ℤ/9))D3semidirect
13. C3⋊D3×3−1+2D3semidirect
21. C9⋊#272C2×C3semidirect
28. #92297C2×C3semidirect
34. #92259D3semidirect
35. #92259D3semidirect
37. C9×(C3⋊D3)⋊C3C2×C3semidirect
54. C32×3−1+2C2×D3semidirect
55. C32×3−1+2C2×D3semidirect
68. #6891C2×D3semidirect
69. #6891C2×D3semidirect
71. C9×H(3,𝔽3)C22×C3semidirect
81. C3⋊(C3⋊D9)C3×D3semidirect
104. C9×C3⋊D3C3×D3semidirect
145. (C3⋊D3)⋊C9C3×D3semidirect
146. (C3⋊D3)⋊C9C3×D3semidirect
212. C32×C9C2×C3×D3semidirect
213. C32×C9C2×C3×D3semidirect
235. C32⋊C9C2×C3×D3semidirect
236. C32⋊C9C2×C3×D3semidirect
328. (C3⋊D3)⋊C3AGL(1,ℤ/9)semidirect
329. (C3⋊D3)⋊C3AGL(1,ℤ/9)semidirect
330. (C3⋊D3)⋊C3AGL(1,ℤ/9)semidirect
422. 3−1+2((C3⋊D3)⋊C3)⋊C2semidirect
434. H(3,𝔽3)C2×AGL(1,ℤ/9)semidirect
435. H(3,𝔽3)C2×AGL(1,ℤ/9)semidirect
436. H(3,𝔽3)C2×AGL(1,ℤ/9)semidirect
479. C3⋊D3C3⋊AGL(1,ℤ/9)semidirect
596. C32D3×AGL(1,ℤ/9)semidirect
597. C32D3×AGL(1,ℤ/9)semidirect
598. C32D3×AGL(1,ℤ/9)semidirect
600. C32C2×C3⋊AGL(1,ℤ/9)semidirect
615. C9C3×((C3⋊D3)⋊C3)⋊C2semidirect

Maximal subgroups

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

subgroupindex
#130915132
3−1+2×(C3⋊D3)⋊C32
#130915112
#66431⋊C33
D3×C3⋊AGL(1,ℤ/9)3
C3×((C3⋊D3)⋊C3)⋊D33
((C3⋊D3)⋊C3)⋊D93
(((C3⋊D3)⋊C9)⋊C2)⋊C33