Finite Group Databasebeta

← C3×D9×(C3⋊D3)⋊C3 #72244096

Subgroups — C3×D9×(C3⋊D3)⋊C3 #72244096

Order 2916.

700 conjugacy classes of subgroups; only the 86 normal subgroups are shown.

normal subgroups only

This group has 700 conjugacy classes of subgroups — too many to draw. Only its 86 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
1C3×#92297C211yesmaximal, characteristic, complemented
2C3×D9×H(3,𝔽3)C211yesmaximal, characteristic, complemented
3C3×C9×(C3⋊D3)⋊C3C211yesmaximal, characteristic, complemented
4C3×D9×C3⋊D3C311yesmaximal, characteristic, complemented
5C3×D3×(C3⋊D3)⋊C3—31nomaximal
6C32×D3×D9—31nomaximal
7D9×(C3⋊D3)⋊C3C311yesmaximal, characteristic, direct product factor
8D9×(C3⋊D3)⋊C3C311yesmaximal, characteristic, direct product factor
9D9×(C3⋊D3)⋊C3C311yesmaximal, characteristic, direct product factor
10C3×C9×H(3,𝔽3)C2211yescharacteristic, complemented, Sylow
11C3×C3⋊(C3⋊D9)C2×C311yescharacteristic, complemented
12C3×C3⋊((C3⋊D3)⋊C3)—31no—
13C3×C9×C3⋊D3C2×C311yescharacteristic, complemented
14C32×C3⋊D9—31no—
15C3×D3×H(3,𝔽3)—31no—
16C32×(C3⋊D3)⋊C3D311yescharacteristic
17C32×D3×C9—31no—
18C33×D9—21no—
19C33×D9D311yescharacteristic, complemented
20C33×D9C2×C311yescharacteristic, complemented
21#92297C2×C311yescharacteristic, complemented
22#92297C2×C311yescharacteristic, complemented
23#92297C2×C311yescharacteristic, complemented
24D9×H(3,𝔽3)—21no—
25D9×H(3,𝔽3)—21no—
26D9×H(3,𝔽3)—21no—
27D9×H(3,𝔽3)C2×C311yescharacteristic, complemented
28D9×H(3,𝔽3)C2×C311yescharacteristic, complemented
29D9×H(3,𝔽3)C2×C311yescharacteristic, complemented
30C9×(C3⋊D3)⋊C3—21no—
31C9×(C3⋊D3)⋊C3—21no—
32C9×(C3⋊D3)⋊C3—21no—
33C9×(C3⋊D3)⋊C3C2×C311yescharacteristic, complemented
34C9×(C3⋊D3)⋊C3C2×C311yescharacteristic, complemented
35C9×(C3⋊D3)⋊C3C2×C311yescharacteristic, complemented
36C3×#4169—61no—
37C3×(C3⋊D3)⋊C9—21no—
38C3×D3×C3⋊D3—31no—
39C32×D32—91no—
40C2×C3×(C3⋊D3)⋊C3—91no—
41C2×C32×D9—91no—
42D9×C3⋊D3C3211yescharacteristic, complemented
43D3×(C3⋊D3)⋊C3—31no—
44D3×(C3⋊D3)⋊C3—31no—
45D3×(C3⋊D3)⋊C3—31no—
46C3×D3×D9—31no—
47C3×D3×D9—31no—
48C3×D3×D9—31no—
49C3×D3×D9—31no—
50C3×D3×D9—91no—
51C32×H(3,𝔽3)C2×D311yescharacteristic
52C33×C9—21no—
53C33×C9C2×D311yescharacteristic, complemented
54C33×C9C22×C311yescharacteristic, complemented
55C9×H(3,𝔽3)—21no—
56C9×H(3,𝔽3)—21no—
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)C22×C311yescharacteristic, complemented
65C9×H(3,𝔽3)C22×C311yescharacteristic, complemented
66C9×H(3,𝔽3)C22×C311yescharacteristic, complemented
67C3×C32⋊C9—21no—
68C3×C32⋊C9—21no—
69C3×C32⋊C9—41no—
70C3×C3⋊(C3⋊D3)—31no—
71C32×C3⋊D3—91no—
72C32×C3⋊D3C3×D311yescharacteristic
73C33×D3—31no—
74C33×D3—31no—
75C33×D3—31no—
76C33×D3—61no—
77C2×C3×H(3,𝔽3)—91no—
78C2×C32×C9—91no—
79C3⋊(C3⋊D9)C2×C3211yescharacteristic, complemented
80C3⋊((C3⋊D3)⋊C3)—31no—
81C3⋊((C3⋊D3)⋊C3)—31no—
82C3⋊((C3⋊D3)⋊C3)—31no—
83C9×C3⋊D3—21no—
84C9×C3⋊D3C2×C3211yescharacteristic, complemented
85C3×C3⋊D9—31no—
86C3×C3⋊D9—31no—
87C3×C3⋊D9—31no—
88C3×C3⋊D9—31no—
89C3×C3⋊D9—61no—
90C3×C3⋊D9—91no—
91C3×C3⋊D9—181no—
92D3×H(3,𝔽3)—31no—
93D3×H(3,𝔽3)—31no—
94D3×H(3,𝔽3)—31no—
95D3×H(3,𝔽3)—61no—
96D3×H(3,𝔽3)—61no—
97D3×H(3,𝔽3)—61no—
98C3×(C3⋊D3)⋊C3—21no—
99C3×(C3⋊D3)⋊C3—21no—
100C3×(C3⋊D3)⋊C3—21no—
101C3×(C3⋊D3)⋊C3—21no—
102C3×(C3⋊D3)⋊C3—91no—
103C3×(C3⋊D3)⋊C3—181no—
104C3×(C3⋊D3)⋊C3D911yescharacteristic, direct product factor
105C3×(C3⋊D3)⋊C3C3×D311yescharacteristic
106C3×(C3⋊D3)⋊C3C3×D311yescharacteristic
107C3×(C3⋊D3)⋊C3C3×D311yescharacteristic
108C3×D3×C9—31no—
109C3×D3×C9—31no—
110C3×D3×C9—31no—
111C3×D3×C9—31no—
112C3×D3×C9—61no—
113C3×D3×C9—61no—
114C3×D3×C9—61no—
115C3×D3×C9—61no—
116C3×D3×C9—91no—
117C32×D9—21no—
118C32×D9—21no—
119C32×D9—21no—
120C32×D9—21no—
121C32×D9—31no—
122C32×D9—31no—
123C32×D9—61no—
124C32×D9—61no—
125C32×D9—62no—
126C32×D9—61no—
127C32×D9—91no—
128C32×D9—181no—
129C32×D9C3×D311yescharacteristic
130C32×D9C3×D311yescharacteristic, complemented
131C32×D9C3×D311yescharacteristic, complemented
132C32×D9C3×D311yescharacteristic, complemented
133C32×D9C2×C3211yescharacteristic, complemented
134#4169—61no—
135#4169—61no—
136#4169—61no—
137(C3⋊D3)⋊C9—21no—
138(C3⋊D3)⋊C9—21no—
139(C3⋊D3)⋊C9—21no—
140C2×C3×C3⋊D3—91no—
141C2×C32×D3—271no—
142C2×C32×D3—271no—
143D3×C3⋊D3—31no—
144C3×D32—91no—
145C3×D32—91no—
146C3×D32—91no—
147C3×D32—91no—
148C3×D32—271no—
149C2×(C3⋊D3)⋊C3—91no—
150C2×(C3⋊D3)⋊C3—91no—
151C2×(C3⋊D3)⋊C3—91no—
152C2×C3×D9—91no—
153C2×C3×D9—91no—
154C2×C3×D9—91no—
155C2×C3×D9—91no—
156D3×D9—31no—
157D3×D9—91no—
158C34—21no—
159C34D3211yescharacteristic
160C34C2×C3×D311yescharacteristic
161C3×H(3,𝔽3)—21no—
162C3×H(3,𝔽3)—21no—
163C3×H(3,𝔽3)—21no—
164C3×H(3,𝔽3)—21no—
165C3×H(3,𝔽3)—21no—
166C3×H(3,𝔽3)—21no—
167C3×H(3,𝔽3)—21no—
168C3×H(3,𝔽3)—21no—
169C3×H(3,𝔽3)—41no—
170C3×H(3,𝔽3)—41no—
171C3×H(3,𝔽3)—41no—
172C3×H(3,𝔽3)—41no—
173C3×H(3,𝔽3)C2×D911yescharacteristic, complemented
174C3×H(3,𝔽3)C2×C3×D311yescharacteristic
175C3×H(3,𝔽3)C2×C3×D311yescharacteristic
176C3×H(3,𝔽3)C2×C3×D311yescharacteristic
177C32×C9—21no—
178C32×C9—21no—
179C32×C9—21no—
180C32×C9—21no—
181C32×C9—21no—
182C32×C9—21no—
183C32×C9—21no—
184C32×C9—21no—
185C32×C9—21no—
186C32×C9—21no—
187C32×C9—31no—
188C32×C9—31no—
189C32×C9—41no—
190C32×C9—41no—
191C32×C9—41no—
192C32×C9—41no—
193C32×C9—41no—
194C32×C9—61no—
195C32×C9—61no—
196C32×C9—62no—
197C32×C9—61no—
198C32×C9—61no—
199C32×C9—61no—
200C32×C9—121no—
201C32×C9—121no—
202C32×C9—121no—
203C32×C9—122no—
204C32×C9C2×C3×D311yescharacteristic
205C32×C9C2×C3×D311yescharacteristic, complemented
206C32×C9C2×C3×D311yescharacteristic, complemented
207C32×C9C2×C3×D311yescharacteristic, complemented
208C32×C9C22×C3211yescharacteristic, complemented
209C32⋊C9—21no—
210C32⋊C9—21no—
211C32⋊C9—21no—
212C32⋊C9—21no—
213C32⋊C9—21no—
214C32⋊C9—21no—
215C32⋊C9—41no—
216C32⋊C9—41no—
217C32⋊C9—41no—
218C32⋊C9—41no—
219C32⋊C9—41no—
220C32⋊C9—41no—
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—
230C2×C33—91no—
231C2×C33—91no—
232C2×C33—91no—
233C2×C33—181no—
234C3⋊(C3⋊D3)—31no—
235C3×C3⋊D3—21no—
236C3×C3⋊D3—91no—
237C3×C3⋊D3—91no—
238C3×C3⋊D3—91no—
239C3×C3⋊D3—91no—
240C3×C3⋊D3—91no—
241C3×C3⋊D3—181no—
242C3×C3⋊D3—271no—
243C3×C3⋊D3—541no—
244C3×C3⋊D3C3×D911yescharacteristic, complemented
245C3×C3⋊D3C32×D311yescharacteristic
246C32×D3—31no—
247C32×D3—31no—
248C32×D3—31no—
249C32×D3—31no—
250C32×D3—31no—
251C32×D3—31no—
252C32×D3—31no—
253C32×D3—31no—
254C32×D3—31no—
255C32×D3—31no—
256C32×D3—61no—
257C32×D3—61no—
258C32×D3—61no—
259C32×D3—61no—
260C32×D3—61no—
261C32×D3—61no—
262C32×D3—61no—
263C32×D3—61no—
264C32×D3—91no—
265C32×D3—91no—
266C32×D3—91no—
267C32×D3—181no—
268C32×D3—181no—
269C32×D3—181no—
270C32×D3—182no—
271C32×D3—271no—
272C32×D3—271no—
273C32×D3—541no—
274C2×H(3,𝔽3)—91no—
275C2×H(3,𝔽3)—91no—
276C2×H(3,𝔽3)—91no—
277C2×H(3,𝔽3)—181no—
278C2×H(3,𝔽3)—181no—
279C2×H(3,𝔽3)—181no—
280C2×C3×C9—91no—
281C2×C3×C9—91no—
282C2×C3×C9—91no—
283C2×C3×C9—91no—
284C2×C3×C9—181no—
285C2×C3×C9—181no—
286C2×C3×C9—181no—
287C2×C3×C9—181no—
288C3⋊D9—31no—
289C3⋊D9—61no—
290C3⋊D9—91no—
291C3⋊D9—181no—
292(C3⋊D3)⋊C3—21no—
293(C3⋊D3)⋊C3—21no—
294(C3⋊D3)⋊C3—21no—
295(C3⋊D3)⋊C3—91no—
296(C3⋊D3)⋊C3—91no—
297(C3⋊D3)⋊C3—91no—
298(C3⋊D3)⋊C3—181no—
299(C3⋊D3)⋊C3—181no—
300(C3⋊D3)⋊C3—181no—
301(C3⋊D3)⋊C3C3×D911yescharacteristic, direct product factor
302(C3⋊D3)⋊C3C3×D911yescharacteristic, direct product factor
303(C3⋊D3)⋊C3C3×D911yescharacteristic, direct product factor
304D3×C9—31no—
305D3×C9—61no—
306D3×C9—61no—
307D3×C9—61no—
308D3×C9—61no—
309D3×C9—91no—
310D3×C9—181no—
311C3×D9—21no—
312C3×D9—31no—
313C3×D9—31no—
314C3×D9—31no—
315C3×D9—61no—
316C3×D9—61no—
317C3×D9—61no—
318C3×D9—61no—
319C3×D9—61no—
320C3×D9—91no—
321C3×D9—91no—
322C3×D9—91no—
323C3×D9—91no—
324C3×D9—181no—
325C3×D9—181no—
326C3×D9—181no—
327C3×D9—181no—
328C3×D9—541no—
329C3×D9(C3⋊D3)⋊C311yescharacteristic, direct product factor
330C3×D9C32×D311yescharacteristic
331C22×C32—811no—
332C2×C3⋊D3—91no—
333C2×C3×D3—271no—
334C2×C3×D3—271no—
335C2×C3×D3—271no—
336C2×C3×D3—271no—
337C2×C3×D3—271no—
338C2×C3×D3—271no—
339C2×C3×D3—271no—
340C2×C3×D3—271no—
341C2×C3×D3—811no—
342D32—91no—
343D32—271no—
344C2×D9—91no—
345C33—21no—
346C33—21no—
347C33—21no—
348C33—21no—
349C33—21no—
350C33—21no—
351C33—21no—
352C33—21no—
353C33—21no—
354C33—21no—
355C33—21no—
356C33—31no—
357C33—31no—
358C33—41no—
359C33—41no—
360C33—41no—
361C33—41no—
362C33—41no—
363C33—61no—
364C33—61no—
365C33—61no—
366C33—62no—
367C33—61no—
368C33—121no—
369C33—121no—
370C33—121no—
371C33—121no—
372C33—122no—
373C33D3×D911yescharacteristic, complemented
374C33C2×C3×D911yescharacteristic, complemented
375C33C3×D3211yescharacteristic
376C33C3×D3211yescharacteristic
377C33C3×D3211yescharacteristic
378C33C3×D3211yescharacteristic
379C33C2×C32×D311yescharacteristic
380H(3,𝔽3)—21no—
381H(3,𝔽3)—21no—
382H(3,𝔽3)—21no—
383H(3,𝔽3)—21no—
384H(3,𝔽3)—21no—
385H(3,𝔽3)—21no—
386H(3,𝔽3)—21no—
387H(3,𝔽3)—21no—
388H(3,𝔽3)—21no—
389H(3,𝔽3)—41no—
390H(3,𝔽3)—41no—
391H(3,𝔽3)—41no—
392H(3,𝔽3)—41no—
393H(3,𝔽3)—41no—
394H(3,𝔽3)—41no—
395H(3,𝔽3)—41no—
396H(3,𝔽3)—41no—
397H(3,𝔽3)—41no—
398H(3,𝔽3)—41no—
399H(3,𝔽3)—41no—
400H(3,𝔽3)—41no—
401H(3,𝔽3)—41no—
402H(3,𝔽3)—41no—
403H(3,𝔽3)—41no—
404H(3,𝔽3)C2×C3×D911yescharacteristic, complemented
405H(3,𝔽3)C2×C3×D911yescharacteristic, complemented
406H(3,𝔽3)C2×C3×D911yescharacteristic, complemented
407C3×C9—21no—
408C3×C9—21no—
409C3×C9—21no—
410C3×C9—21no—
411C3×C9—21no—
412C3×C9—21no—
413C3×C9—21no—
414C3×C9—31no—
415C3×C9—31no—
416C3×C9—31no—
417C3×C9—41no—
418C3×C9—41no—
419C3×C9—41no—
420C3×C9—41no—
421C3×C9—41no—
422C3×C9—61no—
423C3×C9—61no—
424C3×C9—61no—
425C3×C9—61no—
426C3×C9—61no—
427C3×C9—61no—
428C3×C9—61no—
429C3×C9—61no—
430C3×C9—61no—
431C3×C9—61no—
432C3×C9—61no—
433C3×C9—121no—
434C3×C9—121no—
435C3×C9—121no—
436C3×C9—121no—
437C3×C9—121no—
438C3×C9—121no—
439C3×C9—121no—
440C3×C9—121no—
441C3×C9—121no—
442C3×C9—121no—
443C3×C9—121no—
444C3×C9—122no—
445C3×C9—121no—
446C3×C9—121no—
447C3×C9—121no—
448C3×C9—122no—
449C3×C9—122no—
450C3×C9—122no—
451C3×C9—121no—
452C3×C9—121no—
453C3×C9—121no—
454C3×C9—122no—
455C3×C9—121no—
456C3×C9—121no—
457C3×C9C2×(C3⋊D3)⋊C311yescharacteristic, complemented
458C3×C9C2×C32×D311yescharacteristic
459C2×C32—91no—
460C2×C32—91no—
461C2×C32—91no—
462C2×C32—91no—
463C2×C32—91no—
464C2×C32—91no—
465C2×C32—91no—
466C2×C32—91no—
467C2×C32—91no—
468C2×C32—91no—
469C2×C32—181no—
470C2×C32—181no—
471C2×C32—181no—
472C2×C32—181no—
473C2×C32—181no—
474C2×C32—181no—
475C2×C32—181no—
476C2×C32—181no—
477C2×C32—271no—
478C2×C32—541no—
479C2×C32—541no—
480C2×C32—541no—
481C2×C32—541no—
482C2×C32—542no—
483C2×C32—811no—
484C3⋊D3—91no—
485C3⋊D3—91no—
486C3⋊D3—181no—
487C3⋊D3—271no—
488C3⋊D3—541no—
489C3⋊D3C32×D911yescharacteristic, complemented
490C3×D3—31no—
491C3×D3—31no—
492C3×D3—31no—
493C3×D3—31no—
494C3×D3—31no—
495C3×D3—31no—
496C3×D3—31no—
497C3×D3—61no—
498C3×D3—61no—
499C3×D3—61no—
500C3×D3—61no—
501C3×D3—61no—
502C3×D3—91no—
503C3×D3—91no—
504C3×D3—91no—
505C3×D3—91no—
506C3×D3—181no—
507C3×D3—181no—
508C3×D3—181no—
509C3×D3—181no—
510C3×D3—181no—
511C3×D3—181no—
512C3×D3—181no—
513C3×D3—271no—
514C3×D3—271no—
515C3×D3—271no—
516C3×D3—271no—
517C3×D3—271no—
518C3×D3—271no—
519C3×D3—271no—
520C3×D3—271no—
521C3×D3—541no—
522C3×D3—541no—
523C3×D3—541no—
524C3×D3—541no—
525C3×D3—811no—
526C3×D3—1621no—
527C2×C9—91no—
528C2×C9—181no—
529C2×C9—181no—
530C2×C9—181no—
531C2×C9—181no—
532D9—91no—
533D9—181no—
534D9—541no—
535D9C3×(C3⋊D3)⋊C311yescharacteristic, direct product factor
536C22×C3—811no—
537C22×C3—811no—
538C22×C3—811no—
539C22×C3—811no—
540C2×D3—271no—
541C2×D3—271no—
542C2×D3—811no—
543C32—21no—
544C32—21no—
545C32—21no—
546C32—21no—
547C32—21no—
548C32—21no—
549C32—21no—
550C32—21no—
551C32—21no—
552C32—21no—
553C32—21no—
554C32—31no—
555C32—31no—
556C32—31no—
557C32—41no—
558C32—41no—
559C32—41no—
560C32—41no—
561C32—41no—
562C32—61no—
563C32—61no—
564C32—61no—
565C32—61no—
566C32—62no—
567C32—61no—
568C32—61no—
569C32—61no—
570C32—61no—
571C32—61no—
572C32—61no—
573C32—61no—
574C32—61no—
575C32—61no—
576C32—61no—
577C32—61no—
578C32—61no—
579C32—121no—
580C32—121no—
581C32—121no—
582C32—121no—
583C32—121no—
584C32—121no—
585C32—121no—
586C32—121no—
587C32—121no—
588C32—121no—
589C32—121no—
590C32—121no—
591C32—121no—
592C32—121no—
593C32—122no—
594C32—121no—
595C32—121no—
596C32—122no—
597C32—121no—
598C32—121no—
599C32—122no—
600C32—122no—
601C32—122no—
602C32—121no—
603C32C3×D3×D911yescharacteristic
604C32C3×D3×D911yescharacteristic, complemented
605C32C3×D3×D911yescharacteristic, complemented
606C32C3×D3×D911yescharacteristic, complemented
607C32D3×(C3⋊D3)⋊C311yescharacteristic
608C32C2×C32×D911yescharacteristic, complemented
609C32C32×D3211yescharacteristic
610C9—21no—
611C9—21no—
612C9—41no—
613C9—61no—
614C9—121no—
615C9—121no—
616C9—121no—
617C9—121no—
618C9—121no—
619C9—121no—
620C9—121no—
621C9C2×C3×(C3⋊D3)⋊C311yescharacteristic, complemented
622C2×C3—91no—
623C2×C3—91no—
624C2×C3—91no—
625C2×C3—91no—
626C2×C3—91no—
627C2×C3—91no—
628C2×C3—91no—
629C2×C3—181no—
630C2×C3—181no—
631C2×C3—181no—
632C2×C3—181no—
633C2×C3—181no—
634C2×C3—271no—
635C2×C3—271no—
636C2×C3—541no—
637C2×C3—541no—
638C2×C3—541no—
639C2×C3—541no—
640C2×C3—541no—
641C2×C3—541no—
642C2×C3—811no—
643C2×C3—811no—
644C2×C3—811no—
645C2×C3—811no—
646D3—31no—
647D3—31no—
648D3—91no—
649D3—271no—
650D3—271no—
651D3—541no—
652D3—811no—
653D3—1621no—
654C22—811noSylow
655C3—21no—
656C3—21no—
657C3—21no—
658C3—31no—
659C3—31no—
660C3—41no—
661C3—61no—
662C3—61no—
663C3—61no—
664C3—61no—
665C3—61no—
666C3—61no—
667C3—61no—
668C3—121no—
669C3—121no—
670C3—121no—
671C3—121no—
672C3—121no—
673C3—121no—
674C3—121no—
675C3D9×(C3⋊D3)⋊C311yescharacteristic, direct product factor
676C3C32×D3×D911yescharacteristic
677C3C3×D3×(C3⋊D3)⋊C311yescharacteristic
678C2—91no—
679C2—91no—
680C2—811no—
subgroupG/H
center, hypercenterC3D9×(C3⋊D3)⋊C3
commutator, cosocle, hypocenterC32×C9C22×C32
FrattiniC32C32×D32
FittingC3×C9×H(3,𝔽3)C22
socleC33C3×D32
LCSG ▷ C32×C9
UCSC1 ◁ C3

Complements

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

NH ≅ G/Ntype
1. C3×#92297C2semidirect
2. C3×D9×H(3,𝔽3)C2semidirect
3. C3×C9×(C3⋊D3)⋊C3C2semidirect
4. C3×D9×C3⋊D3C3semidirect
7. D9×(C3⋊D3)⋊C3C3direct (N × H)
8. D9×(C3⋊D3)⋊C3C3direct (N × H)
9. D9×(C3⋊D3)⋊C3C3direct (N × H)
10. C3×C9×H(3,𝔽3)C22semidirect
11. C3×C3⋊(C3⋊D9)C2×C3semidirect
13. C3×C9×C3⋊D3C2×C3semidirect
19. C33×D9D3semidirect
20. C33×D9C2×C3semidirect
21. #92297C2×C3semidirect
22. #92297C2×C3semidirect
23. #92297C2×C3semidirect
27. D9×H(3,𝔽3)C2×C3semidirect
28. D9×H(3,𝔽3)C2×C3semidirect
29. D9×H(3,𝔽3)C2×C3semidirect
33. C9×(C3⋊D3)⋊C3C2×C3semidirect
34. C9×(C3⋊D3)⋊C3C2×C3semidirect
35. C9×(C3⋊D3)⋊C3C2×C3semidirect
42. D9×C3⋊D3C32semidirect
53. C33×C9C2×D3semidirect
54. C33×C9C22×C3semidirect
64. C9×H(3,𝔽3)C22×C3semidirect
65. C9×H(3,𝔽3)C22×C3semidirect
66. C9×H(3,𝔽3)C22×C3semidirect
79. C3⋊(C3⋊D9)C2×C32semidirect
84. C9×C3⋊D3C2×C32semidirect
104. C3×(C3⋊D3)⋊C3D9direct (N × H)
130. C32×D9C3×D3semidirect
131. C32×D9C3×D3semidirect
132. C32×D9C3×D3semidirect
133. C32×D9C2×C32semidirect
173. C3×H(3,𝔽3)C2×D9semidirect
205. C32×C9C2×C3×D3semidirect
206. C32×C9C2×C3×D3semidirect
207. C32×C9C2×C3×D3semidirect
208. C32×C9C22×C32semidirect
244. C3×C3⋊D3C3×D9semidirect
301. (C3⋊D3)⋊C3C3×D9direct (N × H)
302. (C3⋊D3)⋊C3C3×D9direct (N × H)
303. (C3⋊D3)⋊C3C3×D9direct (N × H)
329. C3×D9(C3⋊D3)⋊C3direct (N × H)
373. C33D3×D9semidirect
374. C33C2×C3×D9semidirect
404. H(3,𝔽3)C2×C3×D9semidirect
405. H(3,𝔽3)C2×C3×D9semidirect
406. H(3,𝔽3)C2×C3×D9semidirect
457. C3×C9C2×(C3⋊D3)⋊C3semidirect
489. C3⋊D3C32×D9semidirect
535. D9C3×(C3⋊D3)⋊C3direct (N × H)
604. C32C3×D3×D9semidirect
605. C32C3×D3×D9semidirect
606. C32C3×D3×D9semidirect
608. C32C2×C32×D9semidirect
621. C9C2×C3×(C3⋊D3)⋊C3semidirect
675. C3D9×(C3⋊D3)⋊C3direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#922972
C3×D9×H(3,𝔽3)2
C3×C9×(C3⋊D3)⋊C32
C3×D9×C3⋊D33
C3×D3×(C3⋊D3)⋊C33
C32×D3×D93
D9×(C3⋊D3)⋊C33