Finite Group Databasebeta

← C3×#10589708 #13152809

Subgroups — C3×#10589708 #13152809

Order 1728.

1084 conjugacy classes of subgroups.

The subgroup lattice has 612 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#3699C211yesmaximal, characteristic, complemented
2C22×C3×C4×D9C211yesmaximal, characteristic, complemented
3C3×C9×#121C211yesmaximal, characteristic, complemented
4C3×#63500C211yesmaximal, characteristic, complemented
5C3×#63499C212yesmaximal, complemented
6C3×D4×Dic9C212yesmaximal, complemented
7C3×#63486C211yesmaximal, characteristic, complemented
8C3×#63459C211yesmaximal, characteristic, complemented
9C3×#63454C211yesmaximal, characteristic, complemented
10C3×#63445C212yesmaximal, complemented
11C3×#611⋊C4C212yesmaximal, complemented
12C3×#5606—31nomaximal
13#10589708C311yesmaximal, characteristic, direct product factor
14C23×C3×D9C2211yescharacteristic
15C2×C3×D4×C9C2212yes—
16C2×C3×D4×C9C2211yescharacteristic, complemented
17C22×C3×C4×C9C2211yescharacteristic
18C2×C3×#611C2212yes—
19C2×C3×#611C2212yes—
20C22×C3×Dic9C2211yescharacteristic
21C22×C3×Dic9C2212yescomplemented
22C3×#3699—24no—
23C2×C3×C4×D9—24no—
24C2×C3×C4×D9C2211yescharacteristic
25C2×C3×C4×D9C2211yescharacteristic
26C2×C3×C4×D9C2211yescharacteristic
27C2×C3×C4×D9C2211yescharacteristic
28C2×C3×Dic18C2211yescharacteristic, complemented
29C3×C9×C4⋊C4C2211yescharacteristic, complemented
30C3×C9×C22⋊C4C2212yescomplemented
31C3×#3676C2212yes—
32C3×#3676C2212yescomplemented
33C3×(C2×D9)⋊C4C2212yes—
34C3×(C2×D9)⋊C4C2212yes—
35C3×C4⋊Dic9C2211yescharacteristic, complemented
36C3×C4⋊Dic9C2212yescomplemented
37C3×Dic9⋊C4C2212yescomplemented
38C3×C4×Dic9C2212yescomplemented
39C2×C3×#237—31no—
40C22×C3×C4×D3—31no—
41C32×#121D311yescharacteristic
42C3×#938—31no—
43C3×#937—32no—
44C3×D4×Dic3—32no—
45C3×#924—31no—
46C3×#897—31no—
47C3×#892—31no—
48C3×#883—32no—
49C3×#67⋊C4—32no—
50C2×#3699C2×C311yescharacteristic, complemented
51C22×C4×D9C2×C311yescharacteristic, complemented
52C9×#121—21no—
53C9×#121C2×C311yescharacteristic, complemented
54#63500C2×C311yescharacteristic, complemented
55#63499C2×C312yescomplemented
56D4×Dic9C2×C312yescomplemented
57#63486C2×C311yescharacteristic, complemented
58#63459C2×C311yescharacteristic, complemented
59#63454C2×C311yescharacteristic, complemented
60#63445C2×C312yescomplemented
61#611⋊C4C2×C312yescomplemented
62C23×C3×C9C2312yes—
63C23×C3×C9C2311yescharacteristic
64C22×C3×D9—22no—
65C22×C3×D9—22no—
66C22×C3×D9—22no—
67C22×C3×D9C2311yescharacteristic
68C22×C3×D9C2311yescharacteristic
69C3×D4×C9—24no—
70C3×D4×C9—22no—
71C2×C3×C4×C9—22no—
72C2×C3×C4×C9C2311yescharacteristic
73C2×C3×C4×C9C2312yes—
74C2×C3×C4×C9C2311yescharacteristic
75C3×#611—24no—
76C3×#611—24no—
77C2×C3×Dic9—22no—
78C2×C3×Dic9—24no—
79C2×C3×Dic9C2312yes—
80C2×C3×Dic9C2311yescharacteristic
81C2×C3×Dic9C2312yes—
82C2×C3×Dic9C2311yescharacteristic
83C3×C4×D9—22no—
84C3×C4×D9—22no—
85C3×C4×D9—22no—
86C3×C4×D9D414yescomplemented
87C3×Dic18—22no—
88C3×#525—91no—
89#5606—31no—
90C23×C3×D3—31no—
91C2×C32×D4C2×D312yes—
92C2×C32×D4C2×D311yescharacteristic
93C22×C32×C4C2×D311yescharacteristic
94C2×C3×#67—32no—
95C2×C3×#67—32no—
96C22×C3×Dic3—32no—
97C22×C3×Dic3—31no—
98C3×#237—64no—
99C2×C3×C4×D3—31no—
100C2×C3×C4×D3—31no—
101C2×C3×C4×D3—31no—
102C2×C3×C4×D3—31no—
103C2×C3×C4×D3—64no—
104C2×C3×Dic6—31no—
105C23×D9C22×C311yescharacteristic
106C32×C4⋊C4C2×D311yescharacteristic
107C32×C22⋊C4C2×D312yes—
108C3×#217—32no—
109C3×#217—32no—
110C3×(C2×D3)⋊C4—32no—
111C3×(C2×D3)⋊C4—32no—
112C3×C4⋊Dic3—32no—
113C3×C4⋊Dic3—31no—
114C3×Dic3⋊C4—32no—
115C3×C4×Dic3—32no—
116C2×D4×C9—22no—
117C2×D4×C9—21no—
118C2×D4×C9C22×C312yes—
119C2×D4×C9C22×C311yescharacteristic, complemented
120C22×C4×C9—21no—
121C22×C4×C9C22×C311yescharacteristic
122C2×#611C22×C312yes—
123C2×#611C22×C312yes—
124C22×Dic9C22×C311yescharacteristic
125C22×Dic9C22×C312yescomplemented
126#3699—24no—
127C2×C4×D9—24no—
128C2×C4×D9C22×C311yescharacteristic
129C2×C4×D9C22×C311yescharacteristic
130C2×C4×D9C22×C311yescharacteristic
131C2×C4×D9C22×C311yescharacteristic
132C2×Dic18C22×C311yescharacteristic, complemented
133C9×C4⋊C4—21no—
134C9×C4⋊C4C22×C311yescharacteristic, complemented
135C9×C22⋊C4—22no—
136C9×C22⋊C4C22×C312yescomplemented
137#3676C22×C312yes—
138#3676C22×C312yescomplemented
139(C2×D9)⋊C4C22×C312yes—
140(C2×D9)⋊C4C22×C312yes—
141C4⋊Dic9C22×C312yescomplemented
142C4⋊Dic9C22×C311yescharacteristic, complemented
143Dic9⋊C4C22×C312yescomplemented
144C4×Dic9C22×C312yescomplemented
145C22×C3×C9—21no—
146C22×C3×C9—21no—
147C22×C3×C9—22no—
148C22×C3×C9—22no—
149C22×C3×C9—22no—
150C22×C3×C9#4112yescomplemented
151C22×C3×C9C2411yescharacteristic
152C2×C3×D9—28no—
153C2×C3×D9—21no—
154C2×C3×D9—21no—
155C2×C3×D9—21no—
156C2×C3×D9—21no—
157C2×C3×D9C2×D412yes—
158C2×C3×D9#4112yescomplemented
159C3×C4×C9—21no—
160C3×C4×C9—22no—
161C3×C4×C9C2×D412yes—
162C3×Dic9—22no—
163C3×Dic9—21no—
164C3×Dic9—22no—
165C3×Dic9C2×D412yes—
166C2×C3×#41—91no—
167C23×C3×C4—91no—
168C2×#237—31no—
169C22×C4×D3—31no—
170C3×#123—92no—
171C3×C22⋊Q8—91no—
172C3×C22⋊Q8—91no—
173C3×#121—21no—
174C3×#121—91no—
175C3×#121D911yescharacteristic, complemented
176C3×#121C3×D311yescharacteristic
177C3×#120—92no—
178C3×C4×D4—92no—
179C3×C4×D4—92no—
180C3×#117—91no—
181#938—31no—
182#937—32no—
183D4×Dic3—32no—
184#924—31no—
185#897—31no—
186#892—31no—
187#883—32no—
188#67⋊C4—32no—
189C23×C32C22×D312yes—
190C23×C32C22×D311yescharacteristic
191C22×C3×D3—31no—
192C22×C3×D3—31no—
193C22×C3×D3—62no—
194C22×C3×D3—62no—
195C22×C3×D3—62no—
196C32×D4—24no—
197C32×D4—22no—
198C2×C32×C4—22no—
199C2×C32×C4C22×D312yes—
200C2×C32×C4C22×D311yescharacteristic
201C2×C32×C4C22×D311yescharacteristic
202C3×#67—64no—
203C3×#67—64no—
204C2×C3×Dic3—31no—
205C2×C3×Dic3—32no—
206C2×C3×Dic3—32no—
207C2×C3×Dic3—31no—
208C2×C3×Dic3—62no—
209C2×C3×Dic3—64no—
210C3×C4×D3—34no—
211C3×C4×D3—62no—
212C3×C4×D3—62no—
213C3×C4×D3—62no—
214C3×Dic6—62no—
215C23×C9—21no—
216C23×C9—22no—
217C23×C9C23×C312yes—
218C23×C9C23×C311yescharacteristic
219C22×D9—22no—
220C22×D9—22no—
221C22×D9—22no—
222C22×D9C23×C311yescharacteristic
223C22×D9C23×C311yescharacteristic
224D4×C9—24no—
225D4×C9—22no—
226D4×C9—42no—
227D4×C9—44no—
228C2×C4×C9—22no—
229C2×C4×C9—21no—
230C2×C4×C9—21no—
231C2×C4×C9—22no—
232C2×C4×C9—42no—
233C2×C4×C9C23×C312yes—
234C2×C4×C9C23×C311yescharacteristic
235C2×C4×C9C23×C311yescharacteristic
236#611—24no—
237#611—24no—
238C2×Dic9—22no—
239C2×Dic9—24no—
240C2×Dic9C23×C312yes—
241C2×Dic9C23×C312yes—
242C2×Dic9C23×C311yescharacteristic
243C2×Dic9C23×C311yescharacteristic
244C4×D9—22no—
245C4×D9—22no—
246C4×D9—22no—
247C4×D9C3×D414yescomplemented
248Dic18—22no—
249#525—91noSylow
250C2×C3×C9—22no—
251C2×C3×C9—42no—
252C2×C3×C9C22×D411yescharacteristic
253C2×C3×C9C2×#4111yescharacteristic
254C2×C3×C9C2×#4111yescharacteristic
255C3×D9—22no—
256C3×D9—22no—
257C24×C3—91no—
258C23×D3—31no—
259C3×#41—184no—
260C2×C3×Q8—91no—
261C2×C3×D4—22no—
262C2×C3×D4—21no—
263C2×C3×D4—92no—
264C2×C3×D4—92no—
265C2×C3×D4C2×D912yes—
266C2×C3×D4C2×D911yescharacteristic, complemented
267C2×C3×D4C2×C3×D312yes—
268C2×C3×D4C2×C3×D311yescharacteristic
269C22×C3×C4—21no—
270C22×C3×C4—91no—
271C22×C3×C4—91no—
272C22×C3×C4—92no—
273C22×C3×C4—91no—
274C22×C3×C4—91no—
275C22×C3×C4—91no—
276C22×C3×C4—184no—
277C22×C3×C4C2×D911yescharacteristic
278C22×C3×C4C2×C3×D311yescharacteristic
279C2×#67—32no—
280C2×#67—32no—
281C22×Dic3—32no—
282C22×Dic3—31no—
283#237—64no—
284C2×C4×D3—31no—
285C2×C4×D3—31no—
286C2×C4×D3—31no—
287C2×C4×D3—31no—
288C2×C4×D3—64no—
289C2×Dic6—31no—
290C3×C4⋊C4—21no—
291C3×C4⋊C4—92no—
292C3×C4⋊C4—91no—
293C3×C4⋊C4—92no—
294C3×C4⋊C4C2×D911yescharacteristic, complemented
295C3×C4⋊C4C2×C3×D311yescharacteristic
296C3×C22⋊C4—22no—
297C3×C22⋊C4—92no—
298C3×C22⋊C4—92no—
299C3×C22⋊C4—92no—
300C3×C22⋊C4—92no—
301C3×C22⋊C4C2×D912yescomplemented
302C3×C22⋊C4C2×C3×D312yes—
303C3×C42—92no—
304#217—32no—
305#217—32no—
306(C2×D3)⋊C4—32no—
307(C2×D3)⋊C4—32no—
308C4⋊Dic3—32no—
309C4⋊Dic3—31no—
310Dic3⋊C4—32no—
311C4×Dic3—32no—
312C22×C32—21no—
313C22×C32—21no—
314C22×C32—22no—
315C22×C32—22no—
316C22×C32—22no—
317C22×C32#23712yes—
318C22×C32C23×D311yescharacteristic
319C2×C3×D3—32no—
320C2×C3×D3—32no—
321C2×C3×D3—68no—
322C2×C3×D3—61no—
323C2×C3×D3—61no—
324C2×C3×D3—61no—
325C2×C3×D3—61no—
326C32×C4—21no—
327C32×C4—22no—
328C32×C4D3×D412yes—
329C3×Dic3—32no—
330C3×Dic3—62no—
331C3×Dic3—61no—
332C3×Dic3—62no—
333C22×C9—21no—
334C22×C9—21no—
335C22×C9—22no—
336C22×C9—22no—
337C22×C9—22no—
338C22×C9—21no—
339C22×C9—22no—
340C22×C9—41no—
341C22×C9—41no—
342C22×C9—42no—
343C22×C9—42no—
344C22×C9—42no—
345C22×C9C3×#4112yescomplemented
346C22×C9C24×C311yescharacteristic
347C2×D9—28no—
348C2×D9—21no—
349C2×D9—21no—
350C2×D9—21no—
351C2×D9—21no—
352C2×D9C2×C3×D412yes—
353C2×D9C3×#4112yescomplemented
354C4×C9—21no—
355C4×C9—22no—
356C4×C9—22no—
357C4×C9—41no—
358C4×C9—42no—
359C4×C9C2×C3×D412yes—
360Dic9—22no—
361Dic9—21no—
362Dic9—22no—
363Dic9C2×C3×D412yes—
364C2×#41—91no—
365C23×C4—91no—
366#123—92no—
367C22⋊Q8—91no—
368C22⋊Q8—91no—
369#121—91no—
370#121C3×D911yescharacteristic, complemented
371#120—92no—
372C4×D4—92no—
373C4×D4—92no—
374#117—91no—
375C3×C9#52511yescharacteristic, complemented, Sylow
376C23×C3—21no—
377C23×C3—22no—
378C23×C3—91no—
379C23×C3—91no—
380C23×C3—182no—
381C23×C3—182no—
382C23×C3—182no—
383C23×C3C22×D912yes—
384C23×C3C22×D911yescharacteristic
385C23×C3C22×C3×D312yes—
386C23×C3C22×C3×D311yescharacteristic
387C22×D3—31no—
388C22×D3—31no—
389C22×D3—62no—
390C22×D3—62no—
391C22×D3—62no—
392C3×Q8—182no—
393C3×D4—24no—
394C3×D4—24no—
395C3×D4—22no—
396C3×D4—22no—
397C3×D4—42no—
398C3×D4—44no—
399C3×D4—184no—
400C3×D4—184no—
401C2×C3×C4—22no—
402C2×C3×C4—22no—
403C2×C3×C4—21no—
404C2×C3×C4—21no—
405C2×C3×C4—22no—
406C2×C3×C4—42no—
407C2×C3×C4—91no—
408C2×C3×C4—94no—
409C2×C3×C4—92no—
410C2×C3×C4—91no—
411C2×C3×C4—92no—
412C2×C3×C4—182no—
413C2×C3×C4—182no—
414C2×C3×C4—182no—
415C2×C3×C4—184no—
416C2×C3×C4—182no—
417C2×C3×C4C22×D912yes—
418C2×C3×C4C22×D911yescharacteristic
419C2×C3×C4C22×D911yescharacteristic
420C2×C3×C4C22×C3×D312yes—
421C2×C3×C4C22×C3×D311yescharacteristic
422C2×C3×C4C22×C3×D311yescharacteristic
423#67—64no—
424#67—64no—
425C2×Dic3—31no—
426C2×Dic3—32no—
427C2×Dic3—32no—
428C2×Dic3—31no—
429C2×Dic3—62no—
430C2×Dic3—64no—
431C4×D3—34no—
432C4×D3—62no—
433C4×D3—62no—
434C4×D3—62no—
435Dic6—62no—
436C2×C32—22no—
437C2×C32—42no—
438C2×C32C2×D3×D411yescharacteristic
439C2×C32C2×#23711yescharacteristic
440C2×C32D3×#4111yescharacteristic
441C3×D3—62no—
442C3×D3—62no—
443C2×C9—22no—
444C2×C9—21no—
445C2×C9—21no—
446C2×C9—21no—
447C2×C9—42no—
448C2×C9—42no—
449C2×C9—82no—
450C2×C9C22×C3×D411yescharacteristic
451C2×C9C2×C3×#4111yescharacteristic
452C2×C9C2×C3×#4111yescharacteristic
453D9—22no—
454D9—22no—
455C24—91no—
456#41—184no—
457C2×Q8—91no—
458C2×D4—92no—
459C2×D4—92no—
460C2×D4C2×C3×D912yes—
461C2×D4C2×C3×D911yescharacteristic, complemented
462C22×C4—91no—
463C22×C4—91no—
464C22×C4—92no—
465C22×C4—91no—
466C22×C4—91no—
467C22×C4—91no—
468C22×C4—184no—
469C22×C4C2×C3×D911yescharacteristic
470C4⋊C4—91no—
471C4⋊C4—92no—
472C4⋊C4—92no—
473C4⋊C4C2×C3×D911yescharacteristic, complemented
474C22⋊C4—92no—
475C22⋊C4—92no—
476C22⋊C4—92no—
477C22⋊C4—92no—
478C22⋊C4C2×C3×D912yescomplemented
479C42—92no—
480C22×C3—21no—
481C22×C3—21no—
482C22×C3—21no—
483C22×C3—21no—
484C22×C3—22no—
485C22×C3—22no—
486C22×C3—22no—
487C22×C3—22no—
488C22×C3—22no—
489C22×C3—22no—
490C22×C3—21no—
491C22×C3—22no—
492C22×C3—41no—
493C22×C3—41no—
494C22×C3—42no—
495C22×C3—42no—
496C22×C3—42no—
497C22×C3—92no—
498C22×C3—92no—
499C22×C3—188no—
500C22×C3—181no—
501C22×C3—181no—
502C22×C3—181no—
503C22×C3—181no—
504C22×C3#369912yescomplemented
505C22×C3C23×D911yescharacteristic
506C22×C3C3×#23712yes—
507C22×C3C23×C3×D311yescharacteristic
508C2×D3—32no—
509C2×D3—32no—
510C2×D3—68no—
511C2×D3—61no—
512C2×D3—61no—
513C2×D3—61no—
514C2×D3—61no—
515C3×C4—21no—
516C3×C4—22no—
517C3×C4—21no—
518C3×C4—22no—
519C3×C4—22no—
520C3×C4—41no—
521C3×C4—42no—
522C3×C4—92no—
523C3×C4—181no—
524C3×C4—182no—
525C3×C4—182no—
526C3×C4D4×D912yes—
527C3×C4C3×D3×D412yes—
528Dic3—32no—
529Dic3—62no—
530Dic3—61no—
531Dic3—62no—
532C32#560611yescharacteristic
533C9—21no—
534C9C3×#52511yescharacteristic, complemented
535C23—91no—
536C23—91no—
537C23—182no—
538C23—182no—
539C23—182no—
540C23C22×C3×D912yes—
541C23C22×C3×D911yescharacteristic
542Q8—182no—
543D4—24no—
544D4—22no—
545D4—184no—
546D4—184no—
547C2×C4—22no—
548C2×C4—91no—
549C2×C4—94no—
550C2×C4—92no—
551C2×C4—91no—
552C2×C4—92no—
553C2×C4—182no—
554C2×C4—182no—
555C2×C4—182no—
556C2×C4—184no—
557C2×C4—182no—
558C2×C4C22×C3×D912yes—
559C2×C4C22×C3×D911yescharacteristic
560C2×C4C22×C3×D911yescharacteristic
561C2×C3—22no—
562C2×C3—22no—
563C2×C3—21no—
564C2×C3—21no—
565C2×C3—21no—
566C2×C3—42no—
567C2×C3—42no—
568C2×C3—42no—
569C2×C3—82no—
570C2×C3—182no—
571C2×C3—182no—
572C2×C3C2×D4×D911yescharacteristic
573C2×C3C2×#369911yescharacteristic
574C2×C3#41×D911yescharacteristic
575C2×C3C2×C3×D3×D411yescharacteristic
576C2×C3C2×C3×#23711yescharacteristic
577C2×C3C3×D3×#4111yescharacteristic
578D3—62no—
579D3—62no—
580C22—21no—
581C22—21no—
582C22—22no—
583C22—22no—
584C22—22no—
585C22—92no—
586C22—92no—
587C22—188no—
588C22—181no—
589C22—181no—
590C22—181no—
591C22—181no—
592C22C3×#369912yescomplemented
593C22C23×C3×D911yescharacteristic
594C4—21no—
595C4—22no—
596C4—92no—
597C4—181no—
598C4—182no—
599C4—182no—
600C4C3×D4×D912yes—
601C3—21no—
602C3#1058970811yescharacteristic, direct product factor
603C3C3×#560611yescharacteristic
604C2—22no—
605C2—42no—
606C2—182no—
607C2—182no—
608C2C2×C3×D4×D911yescharacteristic
609C2C2×C3×#369911yescharacteristic
610C2C3×#41×D911yescharacteristic
subgroupG/H
centerC22×C3C23×D9
commutator, cosocleC22×C9C24×C3
FrattiniC22×C3C23×C3×D3
FittingC3×C9×#121C2
socleC22×C32C23×D3
hypercenterC3×#121D9
hypocenterC9C3×#525
LCSG ▷ C22×C9 ▷ C9
UCSC1 ◁ C22×C3 ◁ C3×#121

Complements

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

NH ≅ G/Ntype
1. C2×C3×#3699C2semidirect
2. C22×C3×C4×D9C2semidirect
3. C3×C9×#121C2semidirect
4. C3×#63500C2semidirect
5. C3×#63499C2semidirect
6. C3×D4×Dic9C2semidirect
7. C3×#63486C2semidirect
8. C3×#63459C2semidirect
9. C3×#63454C2semidirect
10. C3×#63445C2semidirect
11. C3×#611⋊C4C2semidirect
13. #10589708C3direct (N × H)
16. C2×C3×D4×C9C22semidirect
21. C22×C3×Dic9C22semidirect
28. C2×C3×Dic18C22semidirect
29. C3×C9×C4⋊C4C22semidirect
30. C3×C9×C22⋊C4C22semidirect
32. C3×#3676C22semidirect
35. C3×C4⋊Dic9C22semidirect
36. C3×C4⋊Dic9C22semidirect
37. C3×Dic9⋊C4C22semidirect
38. C3×C4×Dic9C22semidirect
50. C2×#3699C2×C3semidirect
51. C22×C4×D9C2×C3semidirect
53. C9×#121C2×C3semidirect
54. #63500C2×C3semidirect
55. #63499C2×C3semidirect
56. D4×Dic9C2×C3semidirect
57. #63486C2×C3semidirect
58. #63459C2×C3semidirect
59. #63454C2×C3semidirect
60. #63445C2×C3semidirect
61. #611⋊C4C2×C3semidirect
86. C3×C4×D9D4semidirect
119. C2×D4×C9C22×C3semidirect
125. C22×Dic9C22×C3semidirect
132. C2×Dic18C22×C3semidirect
134. C9×C4⋊C4C22×C3semidirect
136. C9×C22⋊C4C22×C3semidirect
138. #3676C22×C3semidirect
141. C4⋊Dic9C22×C3semidirect
142. C4⋊Dic9C22×C3semidirect
143. Dic9⋊C4C22×C3semidirect
144. C4×Dic9C22×C3semidirect
150. C22×C3×C9#41semidirect
158. C2×C3×D9#41semidirect
175. C3×#121D9semidirect
247. C4×D9C3×D4semidirect
266. C2×C3×D4C2×D9semidirect
294. C3×C4⋊C4C2×D9semidirect
301. C3×C22⋊C4C2×D9semidirect
345. C22×C9C3×#41semidirect
353. C2×D9C3×#41semidirect
370. #121C3×D9semidirect
375. C3×C9#525semidirect
461. C2×D4C2×C3×D9semidirect
473. C4⋊C4C2×C3×D9semidirect
478. C22⋊C4C2×C3×D9semidirect
504. C22×C3#3699semidirect
534. C9C3×#525semidirect
592. C22C3×#3699semidirect
602. C3#10589708direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#36992
C22×C3×C4×D92
C3×C9×#1212
C3×#635002
C3×#634992
C3×D4×Dic92
C3×#634862
C3×#634592
C3×#634542
C3×#634452
C3×#611⋊C42
C3×#56063
#105897083