Finite Group Databasebeta

← C3×#10589729 #13152908

Subgroups — C3×#10589729 #13152908

Order 1728.

1064 conjugacy classes of subgroups.

The subgroup lattice has 604 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#3701C211yesmaximal, characteristic, complemented
2C22×C3×C4×D9C211yesmaximal, characteristic, complemented
3C3×C9×C22⋊Q8C211yesmaximal, characteristic, complemented
4C3×#63508C211yesmaximal, characteristic, complemented
5C3×#63492C211yesmaximal, characteristic, complemented
6C3×#63457C211yesmaximal, characteristic, complemented
7C3×#63456C212yesmaximal, complemented
8C3×#63455C212yesmaximal, complemented
9C3×#63454C211yesmaximal, characteristic, complemented
10C3×#63444C212yesmaximal, complemented
11C3×#611⋊C4C212yesmaximal, complemented
12C3×#5627—31nomaximal
13#10589729C311yesmaximal, characteristic, direct product factor
14C23×C3×D9C2211yescharacteristic
15C2×C3×Q8×C9C2211yescharacteristic, complemented
16C22×C3×C4×C9C2211yescharacteristic
17C2×C3×#611C2212yes—
18C22×C3×Dic9C2211yescharacteristic
19C3×#3701—24no—
20C2×C3×D36C2212yes—
21C2×C3×D36C2212yes—
22C2×C3×D36C2211yescharacteristic, complemented
23C2×C3×C4×D9—24no—
24C2×C3×C4×D9C2211yescharacteristic
25C2×C3×C4×D9C2211yescharacteristic
26C2×C3×C4×D9C2211yescharacteristic
27C2×C3×C4×D9C2211yescharacteristic
28C2×C3×C4×D9C2212yescomplemented
29C3×C9×C4⋊C4C2211yescharacteristic, complemented
30C3×C9×C4⋊C4C2212yescomplemented
31C3×C9×C22⋊C4C2212yes—
32C3×(C2×D9)⋊C4C2212yes—
33C3×(C2×D9)⋊C4C2212yes—
34C3×(C2×D9)⋊C4C2212yescomplemented
35C3×(C2×D9)⋊C4C2212yescomplemented
36C3×C4⋊Dic9C2211yescharacteristic, complemented
37C3×Dic9⋊C4C2212yescomplemented
38C3×C4×Dic9C2212yescomplemented
39C2×C3×#239—31no—
40C22×C3×C4×D3—31no—
41C32×C22⋊Q8D311yescharacteristic
42C3×#946—31no—
43C3×#930—31no—
44C3×#895—31no—
45C3×#894—32no—
46C3×#893—32no—
47C3×#892—31no—
48C3×#882—32no—
49C3×#67⋊C4—32no—
50C2×#3701C2×C311yescharacteristic, complemented
51C22×C4×D9C2×C311yescharacteristic, complemented
52C9×C22⋊Q8—21no—
53C9×C22⋊Q8C2×C311yescharacteristic, complemented
54#63508C2×C311yescharacteristic, complemented
55#63492C2×C311yescharacteristic, complemented
56#63457C2×C311yescharacteristic, complemented
57#63456C2×C312yescomplemented
58#63455C2×C312yescomplemented
59#63454C2×C311yescharacteristic, complemented
60#63444C2×C312yescomplemented
61#611⋊C4C2×C312yescomplemented
62C23×C3×C9C2311yescharacteristic
63C22×C3×D9—22no—
64C22×C3×D9—22no—
65C22×C3×D9—22no—
66C22×C3×D9C2312yes—
67C22×C3×D9C2311yescharacteristic
68C22×C3×D9C2311yescharacteristic
69C3×Q8×C9—22no—
70C2×C3×C4×C9—22no—
71C2×C3×C4×C9C2311yescharacteristic
72C2×C3×C4×C9C2312yes—
73C2×C3×C4×C9C2312yes—
74C2×C3×C4×C9C2311yescharacteristic
75C3×#611—24no—
76C2×C3×Dic9—22no—
77C2×C3×Dic9C2311yescharacteristic
78C2×C3×Dic9C2312yes—
79C2×C3×Dic9C2311yescharacteristic
80C3×D36—24no—
81C3×D36—24no—
82C3×D36—22no—
83C3×C4×D9—22no—
84C3×C4×D9—22no—
85C3×C4×D9—22no—
86C3×C4×D9—24no—
87C3×C4×D9D414yescomplemented
88C3×#525—91no—
89#5627—31no—
90C23×C3×D3—31no—
91C2×C32×Q8C2×D311yescharacteristic
92C22×C32×C4C2×D311yescharacteristic
93C2×C3×#67—32no—
94C22×C3×Dic3—31no—
95C3×#239—64no—
96C2×C3×D12—32no—
97C2×C3×D12—32no—
98C2×C3×D12—31no—
99C2×C3×C4×D3—31no—
100C2×C3×C4×D3—32no—
101C2×C3×C4×D3—31no—
102C2×C3×C4×D3—31no—
103C2×C3×C4×D3—31no—
104C2×C3×C4×D3—64no—
105C23×D9C22×C311yescharacteristic
106C32×C4⋊C4C2×D311yescharacteristic
107C32×C4⋊C4C2×D312yes—
108C32×C22⋊C4C2×D312yes—
109C3×(C2×D3)⋊C4—32no—
110C3×(C2×D3)⋊C4—32no—
111C3×(C2×D3)⋊C4—32no—
112C3×(C2×D3)⋊C4—32no—
113C3×C4⋊Dic3—31no—
114C3×Dic3⋊C4—32no—
115C3×C4×Dic3—32no—
116C2×Q8×C9—21no—
117C2×Q8×C9C22×C311yescharacteristic, complemented
118C22×C4×C9—21no—
119C22×C4×C9C22×C311yescharacteristic
120C2×#611C22×C312yes—
121C22×Dic9C22×C311yescharacteristic
122#3701—24no—
123C2×D36C22×C312yes—
124C2×D36C22×C312yes—
125C2×D36C22×C311yescharacteristic, complemented
126C2×C4×D9—24no—
127C2×C4×D9C22×C311yescharacteristic
128C2×C4×D9C22×C311yescharacteristic
129C2×C4×D9C22×C311yescharacteristic
130C2×C4×D9C22×C311yescharacteristic
131C2×C4×D9C22×C312yescomplemented
132C9×C4⋊C4—21no—
133C9×C4⋊C4—22no—
134C9×C4⋊C4C22×C311yescharacteristic, complemented
135C9×C4⋊C4C22×C312yescomplemented
136C9×C22⋊C4—22no—
137C9×C22⋊C4C22×C312yes—
138(C2×D9)⋊C4C22×C312yes—
139(C2×D9)⋊C4C22×C312yes—
140(C2×D9)⋊C4C22×C312yescomplemented
141(C2×D9)⋊C4C22×C312yescomplemented
142C4⋊Dic9C22×C311yescharacteristic, complemented
143Dic9⋊C4C22×C312yescomplemented
144C4×Dic9C22×C312yescomplemented
145C22×C3×C9—21no—
146C22×C3×C9—21no—
147C22×C3×C9#4112yescomplemented
148C22×C3×C9C2411yescharacteristic
149C2×C3×D9—28no—
150C2×C3×D9—21no—
151C2×C3×D9—21no—
152C2×C3×D9—21no—
153C2×C3×D9—21no—
154C2×C3×D9—22no—
155C2×C3×D9—22no—
156C2×C3×D9—22no—
157C2×C3×D9C2×D412yes—
158C2×C3×D9#4112yescomplemented
159C3×C4×C9—21no—
160C3×C4×C9—22no—
161C3×C4×C9—22no—
162C3×C4×C9C2×D412yes—
163C3×Dic9—21no—
164C3×Dic9—22no—
165C3×Dic9C2×D412yes—
166C2×C3×#41—91no—
167C23×C3×C4—91no—
168C2×#239—31no—
169C22×C4×D3—31no—
170C3×#123—92no—
171C3×C22⋊Q8—21no—
172C3×C22⋊Q8—91no—
173C3×C22⋊Q8D911yescharacteristic, complemented
174C3×C22⋊Q8C3×D311yescharacteristic
175C3×#121—91no—
176C3×#121—91no—
177C3×#120—92no—
178C3×C4×D4—92no—
179C3×C4×D4—92no—
180C3×#117—91no—
181#946—31no—
182#930—31no—
183#895—31no—
184#894—32no—
185#893—32no—
186#892—31no—
187#882—32no—
188#67⋊C4—32no—
189C23×C32C22×D311yescharacteristic
190C22×C3×D3—31no—
191C22×C3×D3—31no—
192C22×C3×D3—32no—
193C22×C3×D3—62no—
194C22×C3×D3—62no—
195C22×C3×D3—62no—
196C32×Q8—22no—
197C2×C32×C4—22no—
198C2×C32×C4C22×D312yes—
199C2×C32×C4C22×D312yes—
200C2×C32×C4C22×D311yescharacteristic
201C2×C32×C4C22×D311yescharacteristic
202C3×#67—64no—
203C2×C3×Dic3—31no—
204C2×C3×Dic3—32no—
205C2×C3×Dic3—31no—
206C2×C3×Dic3—62no—
207C3×D12—64no—
208C3×D12—64no—
209C3×D12—62no—
210C3×C4×D3—34no—
211C3×C4×D3—62no—
212C3×C4×D3—64no—
213C3×C4×D3—62no—
214C3×C4×D3—62no—
215C23×C9—21no—
216C23×C9C23×C311yescharacteristic
217C22×D9—22no—
218C22×D9—22no—
219C22×D9—22no—
220C22×D9C23×C312yes—
221C22×D9C23×C311yescharacteristic
222C22×D9C23×C311yescharacteristic
223Q8×C9—22no—
224Q8×C9—42no—
225C2×C4×C9—22no—
226C2×C4×C9—21no—
227C2×C4×C9—22no—
228C2×C4×C9—22no—
229C2×C4×C9—21no—
230C2×C4×C9—42no—
231C2×C4×C9C23×C312yes—
232C2×C4×C9C23×C312yes—
233C2×C4×C9C23×C311yescharacteristic
234C2×C4×C9C23×C311yescharacteristic
235#611—24no—
236C2×Dic9—22no—
237C2×Dic9C23×C312yes—
238C2×Dic9C23×C311yescharacteristic
239C2×Dic9C23×C311yescharacteristic
240D36—24no—
241D36—24no—
242D36—22no—
243C4×D9—22no—
244C4×D9—22no—
245C4×D9—22no—
246C4×D9—24no—
247C4×D9C3×D414yescomplemented
248#525—91noSylow
249C2×C3×C9—22no—
250C2×C3×C9C22×D411yescharacteristic
251C2×C3×C9C2×#4111yescharacteristic
252C2×C3×C9C2×#4111yescharacteristic
253C3×D9—22no—
254C3×D9—22no—
255C3×D9—42no—
256C24×C3—91no—
257C23×D3—31no—
258C3×#41—184no—
259C2×C3×Q8—21no—
260C2×C3×Q8C2×D911yescharacteristic, complemented
261C2×C3×Q8C2×C3×D311yescharacteristic
262C2×C3×D4—92no—
263C2×C3×D4—92no—
264C2×C3×D4—92no—
265C2×C3×D4—91no—
266C22×C3×C4—21no—
267C22×C3×C4—91no—
268C22×C3×C4—91no—
269C22×C3×C4—91no—
270C22×C3×C4—92no—
271C22×C3×C4—91no—
272C22×C3×C4—91no—
273C22×C3×C4—184no—
274C22×C3×C4C2×D911yescharacteristic
275C22×C3×C4C2×C3×D311yescharacteristic
276C2×#67—32no—
277C22×Dic3—31no—
278#239—64no—
279C2×D12—32no—
280C2×D12—32no—
281C2×D12—31no—
282C2×C4×D3—31no—
283C2×C4×D3—31no—
284C2×C4×D3—31no—
285C2×C4×D3—31no—
286C2×C4×D3—32no—
287C2×C4×D3—64no—
288C3×C4⋊C4—21no—
289C3×C4⋊C4—22no—
290C3×C4⋊C4—92no—
291C3×C4⋊C4—91no—
292C3×C4⋊C4C2×D911yescharacteristic, complemented
293C3×C4⋊C4C2×D912yescomplemented
294C3×C4⋊C4C2×C3×D311yescharacteristic
295C3×C4⋊C4C2×C3×D312yes—
296C3×C22⋊C4—22no—
297C3×C22⋊C4—92no—
298C3×C22⋊C4—92no—
299C3×C22⋊C4—92no—
300C3×C22⋊C4—92no—
301C3×C22⋊C4C2×D912yes—
302C3×C22⋊C4C2×C3×D312yes—
303C3×C42—92no—
304(C2×D3)⋊C4—32no—
305(C2×D3)⋊C4—32no—
306(C2×D3)⋊C4—32no—
307(C2×D3)⋊C4—32no—
308C4⋊Dic3—31no—
309Dic3⋊C4—32no—
310C4×Dic3—32no—
311C22×C32—21no—
312C22×C32—21no—
313C22×C32#23912yes—
314C22×C32C23×D311yescharacteristic
315C2×C3×D3—32no—
316C2×C3×D3—32no—
317C2×C3×D3—68no—
318C2×C3×D3—61no—
319C2×C3×D3—61no—
320C2×C3×D3—61no—
321C2×C3×D3—61no—
322C2×C3×D3—62no—
323C2×C3×D3—62no—
324C2×C3×D3—62no—
325C32×C4—21no—
326C32×C4—22no—
327C32×C4—22no—
328C32×C4D3×D412yes—
329C3×Dic3—32no—
330C3×Dic3—61no—
331C3×Dic3—62no—
332C22×C9—21no—
333C22×C9—21no—
334C22×C9—21no—
335C22×C9—22no—
336C22×C9—41no—
337C22×C9—41no—
338C22×C9C3×#4112yescomplemented
339C22×C9C24×C311yescharacteristic
340C2×D9—28no—
341C2×D9—21no—
342C2×D9—21no—
343C2×D9—21no—
344C2×D9—21no—
345C2×D9—22no—
346C2×D9—22no—
347C2×D9—22no—
348C2×D9C2×C3×D412yes—
349C2×D9C3×#4112yescomplemented
350C4×C9—21no—
351C4×C9—22no—
352C4×C9—22no—
353C4×C9—22no—
354C4×C9—42no—
355C4×C9—41no—
356C4×C9—42no—
357C4×C9C2×C3×D412yes—
358Dic9—21no—
359Dic9—22no—
360Dic9C2×C3×D412yes—
361C2×#41—91no—
362C23×C4—91no—
363#123—92no—
364C22⋊Q8—91no—
365C22⋊Q8C3×D911yescharacteristic, complemented
366#121—91no—
367#121—91no—
368#120—92no—
369C4×D4—92no—
370C4×D4—92no—
371#117—91no—
372C3×C9#52511yescharacteristic, complemented, Sylow
373C23×C3—21no—
374C23×C3—91no—
375C23×C3—91no—
376C23×C3—92no—
377C23×C3—182no—
378C23×C3—182no—
379C23×C3—182no—
380C23×C3C22×D911yescharacteristic
381C23×C3C22×C3×D311yescharacteristic
382C22×D3—31no—
383C22×D3—31no—
384C22×D3—32no—
385C22×D3—62no—
386C22×D3—62no—
387C22×D3—62no—
388C3×Q8—22no—
389C3×Q8—22no—
390C3×Q8—42no—
391C3×D4—184no—
392C3×D4—184no—
393C3×D4—184no—
394C3×D4—182no—
395C2×C3×C4—22no—
396C2×C3×C4—22no—
397C2×C3×C4—21no—
398C2×C3×C4—22no—
399C2×C3×C4—22no—
400C2×C3×C4—21no—
401C2×C3×C4—42no—
402C2×C3×C4—91no—
403C2×C3×C4—94no—
404C2×C3×C4—92no—
405C2×C3×C4—91no—
406C2×C3×C4—182no—
407C2×C3×C4—184no—
408C2×C3×C4—182no—
409C2×C3×C4—182no—
410C2×C3×C4—182no—
411C2×C3×C4C22×D912yes—
412C2×C3×C4C22×D911yescharacteristic
413C2×C3×C4C22×D912yes—
414C2×C3×C4C22×D911yescharacteristic
415C2×C3×C4C22×C3×D312yes—
416C2×C3×C4C22×C3×D312yes—
417C2×C3×C4C22×C3×D311yescharacteristic
418C2×C3×C4C22×C3×D311yescharacteristic
419#67—64no—
420C2×Dic3—31no—
421C2×Dic3—32no—
422C2×Dic3—31no—
423C2×Dic3—62no—
424D12—64no—
425D12—64no—
426D12—62no—
427C4×D3—34no—
428C4×D3—62no—
429C4×D3—64no—
430C4×D3—62no—
431C4×D3—62no—
432C2×C32—22no—
433C2×C32C2×D3×D411yescharacteristic
434C2×C32C2×#23911yescharacteristic
435C2×C32D3×#4111yescharacteristic
436C3×D3—62no—
437C3×D3—62no—
438C3×D3—122no—
439C2×C9—22no—
440C2×C9—21no—
441C2×C9—21no—
442C2×C9—21no—
443C2×C9—42no—
444C2×C9C22×C3×D411yescharacteristic
445C2×C9C2×C3×#4111yescharacteristic
446C2×C9C2×C3×#4111yescharacteristic
447D9—22no—
448D9—22no—
449D9—42no—
450C24—91no—
451#41—184no—
452C2×Q8C2×C3×D911yescharacteristic, complemented
453C2×D4—92no—
454C2×D4—92no—
455C2×D4—92no—
456C2×D4—91no—
457C22×C4—91no—
458C22×C4—91no—
459C22×C4—91no—
460C22×C4—92no—
461C22×C4—91no—
462C22×C4—91no—
463C22×C4—184no—
464C22×C4C2×C3×D911yescharacteristic
465C4⋊C4—91no—
466C4⋊C4—92no—
467C4⋊C4C2×C3×D911yescharacteristic, complemented
468C4⋊C4C2×C3×D912yescomplemented
469C22⋊C4—92no—
470C22⋊C4—92no—
471C22⋊C4—92no—
472C22⋊C4—92no—
473C22⋊C4C2×C3×D912yes—
474C42—92no—
475C22×C3—21no—
476C22×C3—21no—
477C22×C3—21no—
478C22×C3—21no—
479C22×C3—21no—
480C22×C3—22no—
481C22×C3—41no—
482C22×C3—41no—
483C22×C3—92no—
484C22×C3—92no—
485C22×C3—188no—
486C22×C3—181no—
487C22×C3—181no—
488C22×C3—181no—
489C22×C3—181no—
490C22×C3—182no—
491C22×C3—182no—
492C22×C3—182no—
493C22×C3#370112yescomplemented
494C22×C3C23×D911yescharacteristic
495C22×C3C3×#23912yes—
496C22×C3C23×C3×D311yescharacteristic
497C2×D3—32no—
498C2×D3—32no—
499C2×D3—68no—
500C2×D3—61no—
501C2×D3—61no—
502C2×D3—61no—
503C2×D3—61no—
504C2×D3—62no—
505C2×D3—62no—
506C2×D3—62no—
507C3×C4—21no—
508C3×C4—22no—
509C3×C4—22no—
510C3×C4—21no—
511C3×C4—22no—
512C3×C4—22no—
513C3×C4—22no—
514C3×C4—41no—
515C3×C4—42no—
516C3×C4—42no—
517C3×C4—92no—
518C3×C4—181no—
519C3×C4—182no—
520C3×C4D4×D912yes—
521C3×C4C3×D3×D412yes—
522Dic3—32no—
523Dic3—61no—
524Dic3—62no—
525C32#562711yescharacteristic
526C9—21no—
527C9C3×#52511yescharacteristic, complemented
528C23—91no—
529C23—91no—
530C23—92no—
531C23—182no—
532C23—182no—
533C23—182no—
534C23C22×C3×D911yescharacteristic
535Q8—22no—
536D4—184no—
537D4—184no—
538D4—184no—
539D4—182no—
540C2×C4—22no—
541C2×C4—91no—
542C2×C4—94no—
543C2×C4—92no—
544C2×C4—91no—
545C2×C4—182no—
546C2×C4—184no—
547C2×C4—182no—
548C2×C4—182no—
549C2×C4—182no—
550C2×C4C22×C3×D912yes—
551C2×C4C22×C3×D911yescharacteristic
552C2×C4C22×C3×D912yes—
553C2×C4C22×C3×D911yescharacteristic
554C2×C3—22no—
555C2×C3—22no—
556C2×C3—21no—
557C2×C3—21no—
558C2×C3—21no—
559C2×C3—42no—
560C2×C3—182no—
561C2×C3—182no—
562C2×C3—362no—
563C2×C3C2×D4×D911yescharacteristic
564C2×C3C2×#370111yescharacteristic
565C2×C3#41×D911yescharacteristic
566C2×C3C2×C3×D3×D411yescharacteristic
567C2×C3C2×C3×#23911yescharacteristic
568C2×C3C3×D3×#4111yescharacteristic
569D3—62no—
570D3—62no—
571D3—122no—
572C22—21no—
573C22—21no—
574C22—92no—
575C22—92no—
576C22—188no—
577C22—181no—
578C22—181no—
579C22—181no—
580C22—181no—
581C22—182no—
582C22—182no—
583C22—182no—
584C22C3×#370112yescomplemented
585C22C23×C3×D911yescharacteristic
586C4—21no—
587C4—22no—
588C4—22no—
589C4—92no—
590C4—181no—
591C4—182no—
592C4C3×D4×D912yes—
593C3—21no—
594C3#1058972911yescharacteristic, direct product factor
595C3C3×#562711yescharacteristic
596C2—22no—
597C2—182no—
598C2—182no—
599C2—362no—
600C2C2×C3×D4×D911yescharacteristic
601C2C2×C3×#370111yescharacteristic
602C2C3×#41×D911yescharacteristic
subgroupG/H
centerC22×C3C23×D9
commutator, cosocleC22×C9C24×C3
FrattiniC22×C3C23×C3×D3
FittingC3×C9×C22⋊Q8C2
socleC22×C32C23×D3
hypercenterC3×C22⋊Q8D9
hypocenterC9C3×#525
LCSG ▷ C22×C9 ▷ C9
UCSC1 ◁ C22×C3 ◁ C3×C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. C2×C3×#3701C2semidirect
2. C22×C3×C4×D9C2semidirect
3. C3×C9×C22⋊Q8C2semidirect
4. C3×#63508C2semidirect
5. C3×#63492C2semidirect
6. C3×#63457C2semidirect
7. C3×#63456C2semidirect
8. C3×#63455C2semidirect
9. C3×#63454C2semidirect
10. C3×#63444C2semidirect
11. C3×#611⋊C4C2semidirect
13. #10589729C3direct (N × H)
15. C2×C3×Q8×C9C22semidirect
22. C2×C3×D36C22semidirect
28. C2×C3×C4×D9C22semidirect
29. C3×C9×C4⋊C4C22semidirect
30. C3×C9×C4⋊C4C22semidirect
34. C3×(C2×D9)⋊C4C22semidirect
35. C3×(C2×D9)⋊C4C22semidirect
36. C3×C4⋊Dic9C22semidirect
37. C3×Dic9⋊C4C22semidirect
38. C3×C4×Dic9C22semidirect
50. C2×#3701C2×C3semidirect
51. C22×C4×D9C2×C3semidirect
53. C9×C22⋊Q8C2×C3semidirect
54. #63508C2×C3semidirect
55. #63492C2×C3semidirect
56. #63457C2×C3semidirect
57. #63456C2×C3semidirect
58. #63455C2×C3semidirect
59. #63454C2×C3semidirect
60. #63444C2×C3semidirect
61. #611⋊C4C2×C3semidirect
87. C3×C4×D9D4semidirect
117. C2×Q8×C9C22×C3semidirect
125. C2×D36C22×C3semidirect
131. C2×C4×D9C22×C3semidirect
134. C9×C4⋊C4C22×C3semidirect
135. C9×C4⋊C4C22×C3semidirect
140. (C2×D9)⋊C4C22×C3semidirect
141. (C2×D9)⋊C4C22×C3semidirect
142. C4⋊Dic9C22×C3semidirect
143. Dic9⋊C4C22×C3semidirect
144. C4×Dic9C22×C3semidirect
147. C22×C3×C9#41semidirect
158. C2×C3×D9#41semidirect
173. C3×C22⋊Q8D9semidirect
247. C4×D9C3×D4semidirect
260. C2×C3×Q8C2×D9semidirect
292. C3×C4⋊C4C2×D9semidirect
293. C3×C4⋊C4C2×D9semidirect
338. C22×C9C3×#41semidirect
349. C2×D9C3×#41semidirect
365. C22⋊Q8C3×D9semidirect
372. C3×C9#525semidirect
452. C2×Q8C2×C3×D9semidirect
467. C4⋊C4C2×C3×D9semidirect
468. C4⋊C4C2×C3×D9semidirect
493. C22×C3#3701semidirect
527. C9C3×#525semidirect
584. C22C3×#3701semidirect
594. C3#10589729direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#37012
C22×C3×C4×D92
C3×C9×C22⋊Q82
C3×#635082
C3×#634922
C3×#634572
C3×#634562
C3×#634552
C3×#634542
C3×#634442
C3×#611⋊C42
C3×#56273
#105897293