Finite Group Databasebeta

← C3×D9×#123 #13153011

Subgroups — C3×D9×#123 #13153011

Order 1728.

1104 conjugacy classes of subgroups.

The subgroup lattice has 586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D4×D9C211yesmaximal, characteristic
2C22×C3×C4×D9C211yesmaximal, characteristic, complemented
3C3×C9×#123C211yesmaximal, characteristic, complemented
4C3×#63497C211yesmaximal, characteristic, complemented
5C3×#63491C211yesmaximal, characteristic, complemented
6C3×#63456C212yesmaximal, complemented
7C3×C4⋊C4×D9C212yesmaximal, complemented
8C3×#63448C211yesmaximal, characteristic, complemented
9C3×#63445C212yesmaximal, complemented
10C3×C22⋊C4×D9C212yesmaximal, complemented
11C3×C22⋊C4×D9C211yesmaximal, characteristic, complemented
12C3×D3×#123—31nomaximal
13D9×#123C311yesmaximal, characteristic, direct product factor
14C23×C3×D9C2211yescharacteristic
15C23×C3×D9C2211yescharacteristic
16C2×C3×D4×C9C2211yescharacteristic
17C22×C3×C4×C9C2211yescharacteristic, complemented
18C2×C3×#611C2211yescharacteristic
19C2×C3×#611C2211yescharacteristic
20C22×C3×Dic9C2211yescharacteristic, complemented
21C3×D4×D9—24no—
22C2×C3×D36C2211yescharacteristic
23C2×C3×C4×D9—24no—
24C2×C3×C4×D9C2212yes—
25C2×C3×C4×D9C2211yescharacteristic
26C2×C3×C4×D9C2212yes—
27C2×C3×C4×D9C2212yescomplemented
28C3×C9×C4⋊C4C2212yescomplemented
29C3×C9×C22⋊C4C2212yescomplemented
30C3×C9×C22⋊C4C2211yescharacteristic, complemented
31C3×#3676C2211yescharacteristic, complemented
32C3×#3676C2212yescomplemented
33C3×(C2×D9)⋊C4C2212yescomplemented
34C3×(C2×D9)⋊C4C2212yescomplemented
35C3×(C2×D9)⋊C4C2212yescomplemented
36C3×C4⋊Dic9C2212yescomplemented
37C3×Dic9⋊C4C2212yescomplemented
38C3×Dic9⋊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×C3×C9C2311yescharacteristic
63C23×C3×C9C2311yescharacteristic
64C22×C3×D9—24no—
65C22×C3×D9—22no—
66C22×C3×D9—24no—
67C22×C3×D9D414yes—
68C22×C3×D9C2311yescharacteristic
69C22×C3×D9C2311yescharacteristic
70C22×C3×D9C2311yescharacteristic
71C3×D4×C9—22no—
72C2×C3×C4×C9—22no—
73C2×C3×C4×C9C2312yes—
74C2×C3×C4×C9C2311yescharacteristic
75C2×C3×C4×C9C2312yes—
76C3×#611—22no—
77C3×#611—22no—
78C2×C3×Dic9—22no—
79C2×C3×Dic9C2312yes—
80C2×C3×Dic9C2311yescharacteristic
81C2×C3×Dic9C2312yes—
82C3×D36—22no—
83C3×C4×D9—24no—
84C3×C4×D9—24no—
85C3×C4×D9—22no—
86C3×C4×D9—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×C3×C9—22no—
145C22×C3×C9—21no—
146C22×C3×C9—22no—
147C22×C3×C9C2×D412yes—
148C22×C3×C9C2411yescharacteristic
149C2×C3×D9—22no—
150C2×C3×D9—28no—
151C2×C3×D9—21no—
152C2×C3×D9—22no—
153C2×C3×D9—44no—
154C2×C3×D9C2×D412yes—
155C2×C3×D9C2×D412yes—
156C2×C3×D9#4114yes—
157C3×C4×C9—22no—
158C3×C4×C9—21no—
159C3×C4×C9—22no—
160C3×Dic9—22no—
161C3×Dic9—21no—
162C3×Dic9—22no—
163C22×C3×D4—91no—
164C23×C3×C4—91no—
165C2×D3×D4—31no—
166C22×C4×D3—31no—
167C3×#123—21no—
168C3×#123—91no—
169C3×#123—91no—
170C3×#123—92no—
171C3×#123—92no—
172C3×#123—91no—
173C3×#123D911yescharacteristic, direct product factor
174C3×#123C3×D311yescharacteristic
175C2×C3×C4⋊C4—92no—
176C2×C3×C22⋊C4—91no—
177C2×C3×C22⋊C4—92no—
178#935—31no—
179#929—31no—
180#894—32no—
181D3×C4⋊C4—32no—
182#886—31no—
183#883—32no—
184D3×C22⋊C4—31no—
185D3×C22⋊C4—32no—
186C23×C32C22×D311yescharacteristic
187C23×C32C22×D311yescharacteristic
188C22×C3×D3—31no—
189C22×C3×D3—34no—
190C22×C3×D3—31no—
191C22×C3×D3—31no—
192C22×C3×D3—64no—
193C22×C3×D3—64no—
194C22×C3×D3—62no—
195C32×D4—22no—
196C2×C32×C4—22no—
197C2×C32×C4C22×D311yescharacteristic
198C2×C32×C4C22×D312yes—
199C2×C32×C4C22×D312yes—
200C3×#67—62no—
201C3×#67—62no—
202C2×C3×Dic3—31no—
203C2×C3×Dic3—32no—
204C2×C3×Dic3—32no—
205C2×C3×Dic3—62no—
206C3×D12—62no—
207C3×C4×D3—64no—
208C3×C4×D3—64no—
209C3×C4×D3—64no—
210C3×C4×D3—62no—
211C23×C9—21no—
212C23×C9—21no—
213C23×C9C23×C311yescharacteristic
214C23×C9C23×C311yescharacteristic
215C22×D9—24no—
216C22×D9—22no—
217C22×D9—24no—
218C22×D9C3×D414yes—
219C22×D9C23×C311yescharacteristic
220C22×D9C23×C311yescharacteristic
221C22×D9C23×C311yescharacteristic
222D4×C9—22no—
223D4×C9—42no—
224C2×C4×C9—22no—
225C2×C4×C9—22no—
226C2×C4×C9—22no—
227C2×C4×C9—21no—
228C2×C4×C9—42no—
229C2×C4×C9C23×C311yescharacteristic
230C2×C4×C9C23×C312yes—
231C2×C4×C9C23×C312yes—
232#611—22no—
233#611—22no—
234C2×Dic9—22no—
235C2×Dic9C23×C311yescharacteristic
236C2×Dic9C23×C312yes—
237C2×Dic9C23×C312yes—
238D36—22no—
239C4×D9—24no—
240C4×D9—24no—
241C4×D9—22no—
242C4×D9—24no—
243C2×#123—91noSylow
244C2×C3×C9—22no—
245C2×C3×C9—41no—
246C2×C3×C9C22×D411yescharacteristic
247C2×C3×C9C2×#4112yes—
248C3×D9—22no—
249C3×D9—41no—
250C3×D9#12314yesdirect product factor
251C24×C3—91no—
252C24×C3—91no—
253C23×D3—31no—
254C23×D3—31no—
255C2×C3×D4—21no—
256C2×C3×D4—91no—
257C2×C3×D4—91no—
258C2×C3×D4—91no—
259C2×C3×D4—184no—
260C2×C3×D4C2×D911yescharacteristic
261C2×C3×D4C2×C3×D311yescharacteristic
262C22×C3×C4—21no—
263C22×C3×C4—91no—
264C22×C3×C4—92no—
265C22×C3×C4—92no—
266C22×C3×C4—91no—
267C22×C3×C4—92no—
268C22×C3×C4—184no—
269C22×C3×C4C2×D911yescharacteristic, complemented
270C22×C3×C4C2×C3×D311yescharacteristic
271C2×#67—31no—
272C2×#67—31no—
273C22×Dic3—31no—
274D3×D4—64no—
275C2×D12—31no—
276C2×C4×D3—32no—
277C2×C4×D3—32no—
278C2×C4×D3—31no—
279C2×C4×D3—32no—
280C2×C4×D3—64no—
281C3×C4⋊C4—22no—
282C3×C4⋊C4—92no—
283C3×C4⋊C4—92no—
284C3×C4⋊C4—92no—
285C3×C4⋊C4C2×D912yescomplemented
286C3×C4⋊C4C2×C3×D312yes—
287C3×C22⋊C4—21no—
288C3×C22⋊C4—22no—
289C3×C22⋊C4—91no—
290C3×C22⋊C4—92no—
291C3×C22⋊C4—92no—
292C3×C22⋊C4—92no—
293C3×C22⋊C4—92no—
294C3×C22⋊C4C2×D911yescharacteristic, complemented
295C3×C22⋊C4C2×D912yescomplemented
296C3×C22⋊C4C2×C3×D312yes—
297C3×C22⋊C4C2×C3×D311yescharacteristic
298#217—32no—
299#217—31no—
300(C2×D3)⋊C4—32no—
301(C2×D3)⋊C4—32no—
302(C2×D3)⋊C4—32no—
303C4⋊Dic3—32no—
304Dic3⋊C4—32no—
305Dic3⋊C4—32no—
306C22×C32—22no—
307C22×C32—21no—
308C22×C32—22no—
309C22×C32D3×D412yes—
310C22×C32C23×D311yescharacteristic
311C2×C3×D3—32no—
312C2×C3×D3—34no—
313C2×C3×D3—32no—
314C2×C3×D3—68no—
315C2×C3×D3—62no—
316C2×C3×D3—61no—
317C2×C3×D3—62no—
318C2×C3×D3—124no—
319C32×C4—22no—
320C32×C4—21no—
321C32×C4—22no—
322C3×Dic3—62no—
323C3×Dic3—61no—
324C3×Dic3—62no—
325C22×C9—22no—
326C22×C9—21no—
327C22×C9—22no—
328C22×C9—21no—
329C22×C9—22no—
330C22×C9—42no—
331C22×C9—41no—
332C22×C9—42no—
333C22×C9C2×C3×D412yes—
334C22×C9C24×C311yescharacteristic
335C2×D9—22no—
336C2×D9—28no—
337C2×D9—21no—
338C2×D9—22no—
339C2×D9—44no—
340C2×D9C2×C3×D412yes—
341C2×D9C2×C3×D412yes—
342C2×D9C3×#4114yes—
343C4×C9—22no—
344C4×C9—21no—
345C4×C9—22no—
346C4×C9—42no—
347C4×C9—42no—
348C4×C9—41no—
349Dic9—22no—
350Dic9—21no—
351Dic9—22no—
352C22×D4—91no—
353C23×C4—91no—
354#123—91no—
355#123—91no—
356#123—92no—
357#123—92no—
358#123—91no—
359#123C3×D911yescharacteristic, direct product factor
360C2×C4⋊C4—92no—
361C2×C22⋊C4—91no—
362C2×C22⋊C4—92no—
363C3×C9C2×#12311yescharacteristic, complemented, Sylow
364C23×C3—21no—
365C23×C3—21no—
366C23×C3—91no—
367C23×C3—94no—
368C23×C3—91no—
369C23×C3—91no—
370C23×C3—184no—
371C23×C3—182no—
372C23×C3—184no—
373C23×C3C22×D911yescharacteristic
374C23×C3C22×D911yescharacteristic
375C23×C3C22×C3×D311yescharacteristic
376C23×C3C22×C3×D311yescharacteristic
377C22×D3—31no—
378C22×D3—31no—
379C22×D3—34no—
380C22×D3—31no—
381C22×D3—64no—
382C22×D3—62no—
383C22×D3—64no—
384C3×D4—22no—
385C3×D4—22no—
386C3×D4—42no—
387C3×D4—182no—
388C3×D4—182no—
389C3×D4—182no—
390C2×C3×C4—22no—
391C2×C3×C4—22no—
392C2×C3×C4—22no—
393C2×C3×C4—22no—
394C2×C3×C4—21no—
395C2×C3×C4—42no—
396C2×C3×C4—92no—
397C2×C3×C4—92no—
398C2×C3×C4—91no—
399C2×C3×C4—184no—
400C2×C3×C4—184no—
401C2×C3×C4—184no—
402C2×C3×C4—182no—
403C2×C3×C4—182no—
404C2×C3×C4C22×D912yes—
405C2×C3×C4C22×D912yes—
406C2×C3×C4C22×D911yescharacteristic
407C2×C3×C4C22×C3×D311yescharacteristic
408C2×C3×C4C22×C3×D312yes—
409C2×C3×C4C22×C3×D312yes—
410#67—62no—
411#67—62no—
412C2×Dic3—31no—
413C2×Dic3—32no—
414C2×Dic3—32no—
415C2×Dic3—62no—
416D12—62no—
417C4×D3—64no—
418C4×D3—64no—
419C4×D3—64no—
420C4×D3—62no—
421C2×C32—22no—
422C2×C32—41no—
423C2×C32C2×D3×D411yescharacteristic
424C2×C32D3×#4112yes—
425C3×D3—34no—
426C3×D3—62no—
427C3×D3—121no—
428C2×C9—22no—
429C2×C9—21no—
430C2×C9—22no—
431C2×C9—42no—
432C2×C9—41no—
433C2×C9—81no—
434C2×C9C22×C3×D411yescharacteristic
435C2×C9C2×C3×#4112yes—
436D9—22no—
437D9—41no—
438D9C3×#12314yesdirect product factor
439C24—91no—
440C24—91no—
441C2×D4—91no—
442C2×D4—91no—
443C2×D4—91no—
444C2×D4—184no—
445C2×D4C2×C3×D911yescharacteristic
446C22×C4—91no—
447C22×C4—92no—
448C22×C4—92no—
449C22×C4—91no—
450C22×C4—92no—
451C22×C4—184no—
452C22×C4C2×C3×D911yescharacteristic, complemented
453C4⋊C4—92no—
454C4⋊C4—92no—
455C4⋊C4—92no—
456C4⋊C4C2×C3×D912yescomplemented
457C22⋊C4—91no—
458C22⋊C4—92no—
459C22⋊C4—92no—
460C22⋊C4—92no—
461C22⋊C4—92no—
462C22⋊C4C2×C3×D911yescharacteristic, complemented
463C22⋊C4C2×C3×D912yescomplemented
464C22×C3—22no—
465C22×C3—22no—
466C22×C3—21no—
467C22×C3—22no—
468C22×C3—21no—
469C22×C3—22no—
470C22×C3—21no—
471C22×C3—22no—
472C22×C3—42no—
473C22×C3—41no—
474C22×C3—42no—
475C22×C3—92no—
476C22×C3—94no—
477C22×C3—92no—
478C22×C3—188no—
479C22×C3—182no—
480C22×C3—181no—
481C22×C3—182no—
482C22×C3—364no—
483C22×C3D4×D912yes—
484C22×C3C23×D911yescharacteristic
485C22×C3C3×D3×D412yes—
486C22×C3C23×C3×D311yescharacteristic
487C2×D3—32no—
488C2×D3—34no—
489C2×D3—32no—
490C2×D3—68no—
491C2×D3—62no—
492C2×D3—61no—
493C2×D3—62no—
494C2×D3—124no—
495C3×C4—22no—
496C3×C4—21no—
497C3×C4—22no—
498C3×C4—22no—
499C3×C4—21no—
500C3×C4—22no—
501C3×C4—42no—
502C3×C4—41no—
503C3×C4—42no—
504C3×C4—182no—
505C3×C4—181no—
506C3×C4—182no—
507Dic3—62no—
508Dic3—61no—
509Dic3—62no—
510C32D3×#12311yescharacteristic
511C9—21no—
512C9C2×C3×#12311yescharacteristic, complemented
513C23—91no—
514C23—91no—
515C23—94no—
516C23—91no—
517C23—184no—
518C23—182no—
519C23—184no—
520C23C22×C3×D911yescharacteristic
521C23C22×C3×D911yescharacteristic
522D4—22no—
523D4—182no—
524D4—182no—
525D4—182no—
526C2×C4—22no—
527C2×C4—92no—
528C2×C4—92no—
529C2×C4—91no—
530C2×C4—184no—
531C2×C4—184no—
532C2×C4—182no—
533C2×C4—184no—
534C2×C4—182no—
535C2×C4C22×C3×D912yes—
536C2×C4C22×C3×D912yes—
537C2×C4C22×C3×D911yescharacteristic
538C2×C3—22no—
539C2×C3—22no—
540C2×C3—21no—
541C2×C3—22no—
542C2×C3—42no—
543C2×C3—41no—
544C2×C3—41no—
545C2×C3—81no—
546C2×C3—94no—
547C2×C3—182no—
548C2×C3—361no—
549C2×C3C2×D4×D911yescharacteristic
550C2×C3#41×D912yes—
551C2×C3C2×C3×D3×D411yescharacteristic
552C2×C3C3×D3×#4112yes—
553D3—34no—
554D3—62no—
555D3—121no—
556C22—22no—
557C22—21no—
558C22—22no—
559C22—92no—
560C22—94no—
561C22—92no—
562C22—188no—
563C22—182no—
564C22—181no—
565C22—182no—
566C22—364no—
567C22C3×D4×D912yes—
568C22C23×C3×D911yescharacteristic
569C4—22no—
570C4—21no—
571C4—22no—
572C4—182no—
573C4—181no—
574C4—182no—
575C3—21no—
576C3D9×#12311yescharacteristic, direct product factor
577C3C3×D3×#12311yescharacteristic
578C2—22no—
579C2—41no—
580C2—94no—
581C2—182no—
582C2—361no—
583C2C2×C3×D4×D911yescharacteristic
584C2C3×#41×D912yes—
subgroupG/H
centerC22×C3C23×D9
commutator, cosocleC22×C9C24×C3
FrattiniC22×C3C23×C3×D3
FittingC3×C9×#123C2
socleC22×C32C23×D3
prime radicalC2×C3×D4×D9C2
hypercenterC3×#123D9
hypocenterC9C2×C3×#123
LCSG ▷ C22×C9 ▷ C9
UCSC1 ◁ C22×C3 ◁ C3×#123

Complements

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

NH ≅ G/Ntype
2. C22×C3×C4×D9C2semidirect
3. C3×C9×#123C2semidirect
4. C3×#63497C2semidirect
5. C3×#63491C2semidirect
6. C3×#63456C2semidirect
7. C3×C4⋊C4×D9C2semidirect
8. C3×#63448C2semidirect
9. C3×#63445C2semidirect
10. C3×C22⋊C4×D9C2semidirect
11. C3×C22⋊C4×D9C2semidirect
13. D9×#123C3direct (N × H)
17. C22×C3×C4×C9C22semidirect
20. C22×C3×Dic9C22semidirect
27. C2×C3×C4×D9C22semidirect
28. C3×C9×C4⋊C4C22semidirect
29. C3×C9×C22⋊C4C22semidirect
30. C3×C9×C22⋊C4C22semidirect
31. C3×#3676C22semidirect
32. C3×#3676C22semidirect
33. C3×(C2×D9)⋊C4C22semidirect
34. C3×(C2×D9)⋊C4C22semidirect
35. C3×(C2×D9)⋊C4C22semidirect
36. C3×C4⋊Dic9C22semidirect
37. C3×Dic9⋊C4C22semidirect
38. C3×Dic9⋊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
173. C3×#123D9direct (N × H)
250. C3×D9#123direct (N × H)
269. C22×C3×C4C2×D9semidirect
285. C3×C4⋊C4C2×D9semidirect
294. C3×C22⋊C4C2×D9semidirect
295. C3×C22⋊C4C2×D9semidirect
359. #123C3×D9direct (N × H)
363. C3×C9C2×#123semidirect
438. D9C3×#123direct (N × H)
452. C22×C4C2×C3×D9semidirect
456. C4⋊C4C2×C3×D9semidirect
462. C22⋊C4C2×C3×D9semidirect
463. C22⋊C4C2×C3×D9semidirect
512. C9C2×C3×#123semidirect
576. C3D9×#123direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×D4×D92
C22×C3×C4×D92
C3×C9×#1232
C3×#634972
C3×#634912
C3×#634562
C3×C4⋊C4×D92
C3×#634482
C3×#634452
C3×C22⋊C4×D92
C3×D3×#1233
D9×#1233