Finite Group Databasebeta

← C3×#10589714 #13152815

Subgroups — C3×#10589714 #13152815

Order 1728.

1096 conjugacy classes of subgroups.

The subgroup lattice has 606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D4×D9C211yesmaximal, characteristic, complemented
2C2×C3×#3697C211yesmaximal, characteristic, complemented
3C3×C9×#121C211yesmaximal, characteristic, complemented
4C3×#63500C212yesmaximal, complemented
5C3×#63499C212yesmaximal, complemented
6C3×#63498C211yesmaximal, characteristic, complemented
7C3×C4×#611C211yesmaximal, characteristic, complemented
8C3×#63459C211yesmaximal, characteristic, complemented
9C3×#63455C211yesmaximal, characteristic, complemented
10C3×#63445C212yesmaximal, complemented
11C3×C22⋊C4×D9C212yesmaximal, complemented
12C3×#5612—31nomaximal
13#10589714C311yesmaximal, characteristic, direct product factor
14C23×C3×D9C2212yes—
15C2×C3×D4×C9C2211yescharacteristic
16C2×C3×D4×C9C2212yescomplemented
17C22×C3×C4×C9C2211yescharacteristic, complemented
18C2×C3×#611C2212yes—
19C2×C3×#611C2211yescharacteristic
20C2×C3×#611C2212yescomplemented
21C3×D4×D9—24no—
22C3×#3697—24no—
23C2×C3×D36C2211yescharacteristic
24C2×C3×C4×D9C2211yescharacteristic
25C2×C3×C4×D9C2212yescomplemented
26C2×C3×C4×D9C2212yescomplemented
27C2×C3×Dic18C2211yescharacteristic, complemented
28C3×C9×C4⋊C4C2211yescharacteristic, complemented
29C3×C9×C22⋊C4C2212yescomplemented
30C3×#3676C2211yescharacteristic, complemented
31C3×#3676C2212yescomplemented
32C3×#3676C2212yescomplemented
33C3×(C2×D9)⋊C4C2211yescharacteristic
34C3×(C2×D9)⋊C4C2212yes—
35C3×(C2×D9)⋊C4C2212yescomplemented
36C3×C4⋊Dic9C2212yescomplemented
37C3×Dic9⋊C4C2211yescharacteristic, complemented
38C3×C4×Dic9C2211yescharacteristic, complemented
39C2×C3×D3×D4—31no—
40C2×C3×#235—31no—
41C32×#121D311yescharacteristic
42C3×#938—32no—
43C3×#937—32no—
44C3×#936—31no—
45C3×C4×#67—31no—
46C3×#897—31no—
47C3×#893—31no—
48C3×#883—32no—
49C3×D3×C22⋊C4—32no—
50C2×D4×D9C2×C311yescharacteristic, complemented
51C2×#3697C2×C311yescharacteristic, complemented
52C9×#121—21no—
53C9×#121C2×C311yescharacteristic, complemented
54#63500C2×C312yescomplemented
55#63499C2×C312yescomplemented
56#63498C2×C311yescharacteristic, complemented
57C4×#611C2×C311yescharacteristic, complemented
58#63459C2×C311yescharacteristic, complemented
59#63455C2×C311yescharacteristic, complemented
60#63445C2×C312yescomplemented
61C22⋊C4×D9C2×C312yescomplemented
62C23×C3×C9C2312yes—
63C23×C3×C9C2311yescharacteristic
64C22×C3×D9—24no—
65C22×C3×D9—24no—
66C22×C3×D9—42no—
67C22×C3×D9C2312yes—
68C22×C3×D9C2311yescharacteristic
69C3×D4×C9—22no—
70C3×D4×C9—42no—
71C2×C3×C4×C9—22no—
72C2×C3×C4×C9C2311yescharacteristic
73C2×C3×C4×C9C2312yes—
74C2×C3×C4×C9C2311yescharacteristic
75C3×#611—24no—
76C3×#611—24no—
77C3×#611—22no—
78C2×C3×Dic9C2312yes—
79C2×C3×Dic9C2311yescharacteristic
80C2×C3×Dic9C2311yescharacteristic
81C2×C3×Dic9C2311yescharacteristic
82C3×D36D414yescomplemented
83C3×C4×D9—24no—
84C3×C4×D9—22no—
85C3×C4×D9—42no—
86C3×Dic18—22no—
87C3×#546—91no—
88#5612—31no—
89C23×C3×D3—32no—
90C2×C32×D4C2×D311yescharacteristic
91C2×C32×D4C2×D312yes—
92C22×C32×C4C2×D311yescharacteristic
93C2×C3×#67—32no—
94C2×C3×#67—31no—
95C2×C3×#67—32no—
96C3×D3×D4—64no—
97C3×#235—64no—
98C2×C3×D12—31no—
99C2×C3×C4×D3—32no—
100C2×C3×C4×D3—31no—
101C2×C3×C4×D3—32no—
102C2×C3×Dic6—31no—
103C23×D9C22×C312yes—
104C32×C4⋊C4C2×D311yescharacteristic
105C32×C22⋊C4C2×D312yes—
106C3×#217—32no—
107C3×#217—32no—
108C3×#217—31no—
109C3×(C2×D3)⋊C4—31no—
110C3×(C2×D3)⋊C4—32no—
111C3×(C2×D3)⋊C4—32no—
112C3×C4⋊Dic3—32no—
113C3×Dic3⋊C4—31no—
114C3×C4×Dic3—31no—
115C2×D4×C9—21no—
116C2×D4×C9—22no—
117C2×D4×C9C22×C311yescharacteristic
118C2×D4×C9C22×C312yescomplemented
119C22×C4×C9—21no—
120C22×C4×C9C22×C311yescharacteristic, complemented
121C2×#611C22×C311yescharacteristic
122C2×#611C22×C312yes—
123C2×#611C22×C312yescomplemented
124D4×D9—24no—
125#3697—24no—
126C2×D36C22×C311yescharacteristic
127C2×C4×D9C22×C311yescharacteristic
128C2×C4×D9C22×C312yescomplemented
129C2×C4×D9C22×C312yescomplemented
130C2×Dic18C22×C311yescharacteristic, complemented
131C9×C4⋊C4—21no—
132C9×C4⋊C4C22×C311yescharacteristic, complemented
133C9×C22⋊C4—22no—
134C9×C22⋊C4C22×C312yescomplemented
135#3676C22×C311yescharacteristic, complemented
136#3676C22×C312yescomplemented
137#3676C22×C312yescomplemented
138(C2×D9)⋊C4C22×C311yescharacteristic
139(C2×D9)⋊C4C22×C312yes—
140(C2×D9)⋊C4C22×C312yescomplemented
141C4⋊Dic9C22×C312yescomplemented
142Dic9⋊C4C22×C311yescharacteristic, complemented
143C4×Dic9C22×C311yescharacteristic, complemented
144C22×C3×C9—21no—
145C22×C3×C9—22no—
146C22×C3×C9—21no—
147C22×C3×C9—22no—
148C22×C3×C9—21no—
149C22×C3×C9—22no—
150C22×C3×C9C2411yescharacteristic
151C2×C3×D9—21no—
152C2×C3×D9—22no—
153C2×C3×D9—22no—
154C2×C3×D9—21no—
155C2×C3×D9—48no—
156C2×C3×D9C2×D414yes—
157C2×C3×D9#4112yescomplemented
158C3×C4×C9—21no—
159C3×C4×C9—22no—
160C3×C4×C9C2×D412yes—
161C3×Dic9—22no—
162C3×Dic9—21no—
163C3×Dic9—21no—
164C3×Dic9—21no—
165C2×C3×#41—91no—
166C22×C3×D4—91no—
167C2×D3×D4—31no—
168C2×#235—31no—
169C3×#124—91no—
170C3×#123—92no—
171C3×C22⋊Q8—91no—
172C3×#121—21no—
173C3×#121—92no—
174C3×#121D911yescharacteristic, complemented
175C3×#121C3×D311yescharacteristic
176C3×#120—92no—
177C3×C4×D4—91no—
178C3×C4×D4—91no—
179C2×C3×C22⋊C4—92no—
180#938—32no—
181#937—32no—
182#936—31no—
183C4×#67—31no—
184#897—31no—
185#893—31no—
186#883—32no—
187D3×C22⋊C4—32no—
188C23×C32C22×D312yes—
189C23×C32C22×D311yescharacteristic
190C22×C3×D3—31no—
191C22×C3×D3—32no—
192C22×C3×D3—64no—
193C22×C3×D3—64no—
194C22×C3×D3—122no—
195C32×D4—22no—
196C32×D4—42no—
197C2×C32×C4—22no—
198C2×C32×C4C22×D311yescharacteristic
199C2×C32×C4C22×D312yes—
200C2×C32×C4C22×D311yescharacteristic
201C3×#67—64no—
202C3×#67—64no—
203C3×#67—62no—
204C2×C3×Dic3—31no—
205C2×C3×Dic3—31no—
206C2×C3×Dic3—31no—
207C2×C3×Dic3—32no—
208C3×D12—34no—
209C3×C4×D3—64no—
210C3×C4×D3—62no—
211C3×C4×D3—122no—
212C3×Dic6—62no—
213C23×C9—21no—
214C23×C9—22no—
215C23×C9C23×C312yes—
216C23×C9C23×C311yescharacteristic
217C22×D9—24no—
218C22×D9—24no—
219C22×D9—42no—
220C22×D9C23×C312yes—
221C22×D9C23×C311yescharacteristic
222D4×C9—22no—
223D4×C9—42no—
224D4×C9—42no—
225D4×C9—44no—
226C2×C4×C9—22no—
227C2×C4×C9—21no—
228C2×C4×C9—21no—
229C2×C4×C9—22no—
230C2×C4×C9—42no—
231C2×C4×C9C23×C311yescharacteristic
232C2×C4×C9C23×C312yes—
233C2×C4×C9C23×C311yescharacteristic
234#611—24no—
235#611—24no—
236#611—22no—
237C2×Dic9C23×C311yescharacteristic
238C2×Dic9C23×C311yescharacteristic
239C2×Dic9C23×C311yescharacteristic
240C2×Dic9C23×C312yes—
241D36C3×D414yescomplemented
242C4×D9—24no—
243C4×D9—22no—
244C4×D9—42no—
245Dic18—22no—
246#546—91noSylow
247C2×C3×C9—41no—
248C2×C3×C9—42no—
249C2×C3×C9C22×D411yescharacteristic
250C2×C3×C9C2×#4111yescharacteristic
251C2×C3×C9H(5,𝔽2)11yescharacteristic
252C3×D9—22no—
253C3×D9—24no—
254C24×C3—92no—
255C23×D3—32no—
256C3×#41—184no—
257C2×C3×Q8—91no—
258C2×C3×D4—21no—
259C2×C3×D4—22no—
260C2×C3×D4—91no—
261C2×C3×D4—92no—
262C2×C3×D4—92no—
263C2×C3×D4—91no—
264C2×C3×D4—184no—
265C2×C3×D4C2×D911yescharacteristic
266C2×C3×D4C2×D912yescomplemented
267C2×C3×D4C2×C3×D311yescharacteristic
268C2×C3×D4C2×C3×D312yes—
269C22×C3×C4—21no—
270C22×C3×C4—92no—
271C22×C3×C4—91no—
272C22×C3×C4—92no—
273C22×C3×C4C2×D911yescharacteristic, complemented
274C22×C3×C4C2×C3×D311yescharacteristic
275C2×#67—32no—
276C2×#67—31no—
277C2×#67—32no—
278D3×D4—64no—
279#235—64no—
280C2×D12—31no—
281C2×C4×D3—31no—
282C2×C4×D3—32no—
283C2×C4×D3—32no—
284C2×Dic6—31no—
285C3×C4⋊C4—21no—
286C3×C4⋊C4—91no—
287C3×C4⋊C4—92no—
288C3×C4⋊C4C2×D911yescharacteristic, complemented
289C3×C4⋊C4C2×C3×D311yescharacteristic
290C3×C22⋊C4—22no—
291C3×C22⋊C4—92no—
292C3×C22⋊C4—91no—
293C3×C22⋊C4—92no—
294C3×C22⋊C4—91no—
295C3×C22⋊C4—92no—
296C3×C22⋊C4—92no—
297C3×C22⋊C4C2×D912yescomplemented
298C3×C22⋊C4C2×C3×D312yes—
299C3×C42—91no—
300#217—32no—
301#217—32no—
302#217—31no—
303(C2×D3)⋊C4—31no—
304(C2×D3)⋊C4—32no—
305(C2×D3)⋊C4—32no—
306C4⋊Dic3—32no—
307Dic3⋊C4—31no—
308C4×Dic3—31no—
309C22×C32—21no—
310C22×C32—21no—
311C22×C32—22no—
312C22×C32—22no—
313C22×C32—21no—
314C22×C32—22no—
315C22×C32C23×D311yescharacteristic
316C2×C3×D3—34no—
317C2×C3×D3—32no—
318C2×C3×D3—61no—
319C2×C3×D3—62no—
320C2×C3×D3—61no—
321C2×C3×D3—62no—
322C2×C3×D3—128no—
323C32×C4—21no—
324C32×C4—22no—
325C32×C4D3×D412yes—
326C3×Dic3—62no—
327C3×Dic3—61no—
328C3×Dic3—61no—
329C3×Dic3—61no—
330C22×C9—22no—
331C22×C9—21no—
332C22×C9—22no—
333C22×C9—21no—
334C22×C9—22no—
335C22×C9—21no—
336C22×C9—22no—
337C22×C9—21no—
338C22×C9—41no—
339C22×C9—41no—
340C22×C9—42no—
341C22×C9—42no—
342C22×C9—42no—
343C22×C9C24×C311yescharacteristic
344C2×D9—21no—
345C2×D9—22no—
346C2×D9—22no—
347C2×D9—21no—
348C2×D9—48no—
349C2×D9C2×C3×D414yes—
350C2×D9C3×#4112yescomplemented
351C4×C9—21no—
352C4×C9—22no—
353C4×C9—22no—
354C4×C9—41no—
355C4×C9—42no—
356C4×C9C2×C3×D412yes—
357Dic9—22no—
358Dic9—21no—
359Dic9—21no—
360Dic9—21no—
361C2×#41—91no—
362C22×D4—91no—
363#124—91no—
364#123—92no—
365C22⋊Q8—91no—
366#121—92no—
367#121C3×D911yescharacteristic, complemented
368#120—92no—
369C4×D4—91no—
370C4×D4—91no—
371C2×C22⋊C4—92no—
372C3×C9#54611yescharacteristic, complemented, Sylow
373C23×C3—21no—
374C23×C3—22no—
375C23×C3—91no—
376C23×C3—92no—
377C23×C3—184no—
378C23×C3—184no—
379C23×C3—362no—
380C23×C3C22×D912yes—
381C23×C3C22×D911yescharacteristic
382C23×C3C22×C3×D312yes—
383C23×C3C22×C3×D311yescharacteristic
384C22×D3—31no—
385C22×D3—32no—
386C22×D3—64no—
387C22×D3—64no—
388C22×D3—122no—
389C3×Q8—182no—
390C3×D4—22no—
391C3×D4—22no—
392C3×D4—42no—
393C3×D4—42no—
394C3×D4—42no—
395C3×D4—44no—
396C3×D4—94no—
397C3×D4—182no—
398C3×D4—184no—
399C3×D4—184no—
400C2×C3×C4—22no—
401C2×C3×C4—22no—
402C2×C3×C4—21no—
403C2×C3×C4—21no—
404C2×C3×C4—22no—
405C2×C3×C4—42no—
406C2×C3×C4—91no—
407C2×C3×C4—91no—
408C2×C3×C4—92no—
409C2×C3×C4—91no—
410C2×C3×C4—184no—
411C2×C3×C4—182no—
412C2×C3×C4—362no—
413C2×C3×C4C22×D912yes—
414C2×C3×C4C22×D911yescharacteristic
415C2×C3×C4C22×D911yescharacteristic
416C2×C3×C4C22×C3×D311yescharacteristic
417C2×C3×C4C22×C3×D312yes—
418C2×C3×C4C22×C3×D311yescharacteristic
419#67—64no—
420#67—64no—
421#67—62no—
422C2×Dic3—31no—
423C2×Dic3—31no—
424C2×Dic3—31no—
425C2×Dic3—32no—
426D12—34no—
427C4×D3—64no—
428C4×D3—62no—
429C4×D3—122no—
430Dic6—62no—
431C2×C32—41no—
432C2×C32—42no—
433C2×C32C2×D3×D411yescharacteristic
434C2×C32#100411yescharacteristic
435C2×C32D3×#4111yescharacteristic
436C3×D3—64no—
437C3×D3—62no—
438C2×C9—21no—
439C2×C9—21no—
440C2×C9—21no—
441C2×C9—42no—
442C2×C9—42no—
443C2×C9—41no—
444C2×C9—82no—
445C2×C9C22×C3×D411yescharacteristic
446C2×C9C2×C3×#4111yescharacteristic
447C2×C9C3×H(5,𝔽2)11yescharacteristic
448D9—22no—
449D9—24no—
450C24—92no—
451#41—184no—
452C2×Q8—91no—
453C2×D4—91no—
454C2×D4—92no—
455C2×D4—92no—
456C2×D4—91no—
457C2×D4—184no—
458C2×D4C2×C3×D911yescharacteristic
459C2×D4C2×C3×D912yescomplemented
460C22×C4—92no—
461C22×C4—91no—
462C22×C4—92no—
463C22×C4C2×C3×D911yescharacteristic, complemented
464C4⋊C4—91no—
465C4⋊C4—92no—
466C4⋊C4C2×C3×D911yescharacteristic, complemented
467C22⋊C4—92no—
468C22⋊C4—91no—
469C22⋊C4—92no—
470C22⋊C4—91no—
471C22⋊C4—92no—
472C22⋊C4—92no—
473C22⋊C4C2×C3×D912yescomplemented
474C42—91no—
475C22×C3—22no—
476C22×C3—21no—
477C22×C3—22no—
478C22×C3—21no—
479C22×C3—22no—
480C22×C3—21no—
481C22×C3—22no—
482C22×C3—21no—
483C22×C3—22no—
484C22×C3—21no—
485C22×C3—22no—
486C22×C3—21no—
487C22×C3—22no—
488C22×C3—21no—
489C22×C3—41no—
490C22×C3—41no—
491C22×C3—42no—
492C22×C3—42no—
493C22×C3—42no—
494C22×C3—94no—
495C22×C3—92no—
496C22×C3—181no—
497C22×C3—182no—
498C22×C3—181no—
499C22×C3—182no—
500C22×C3—368no—
501C22×C3C23×D911yescharacteristic
502C22×C3C23×C3×D311yescharacteristic
503C2×D3—34no—
504C2×D3—32no—
505C2×D3—61no—
506C2×D3—62no—
507C2×D3—61no—
508C2×D3—62no—
509C2×D3—128no—
510C3×C4—21no—
511C3×C4—22no—
512C3×C4—21no—
513C3×C4—22no—
514C3×C4—22no—
515C3×C4—41no—
516C3×C4—42no—
517C3×C4—181no—
518C3×C4—182no—
519C3×C4—181no—
520C3×C4—181no—
521C3×C4D4×D912yes—
522C3×C4C3×D3×D412yes—
523Dic3—62no—
524Dic3—61no—
525Dic3—61no—
526Dic3—61no—
527C32#561211yescharacteristic
528C9—21no—
529C9C3×#54611yescharacteristic, complemented
530C23—91no—
531C23—92no—
532C23—184no—
533C23—184no—
534C23—362no—
535C23C22×C3×D912yes—
536C23C22×C3×D911yescharacteristic
537Q8—182no—
538D4—22no—
539D4—42no—
540D4—94no—
541D4—184no—
542D4—184no—
543D4—182no—
544C2×C4—22no—
545C2×C4—91no—
546C2×C4—91no—
547C2×C4—92no—
548C2×C4—91no—
549C2×C4—184no—
550C2×C4—182no—
551C2×C4—362no—
552C2×C4C22×C3×D912yes—
553C2×C4C22×C3×D911yescharacteristic
554C2×C4C22×C3×D911yescharacteristic
555C2×C3—21no—
556C2×C3—21no—
557C2×C3—21no—
558C2×C3—42no—
559C2×C3—42no—
560C2×C3—41no—
561C2×C3—42no—
562C2×C3—41no—
563C2×C3—82no—
564C2×C3—182no—
565C2×C3—184no—
566C2×C3C2×D4×D911yescharacteristic
567C2×C3#6371011yescharacteristic
568C2×C3#41×D911yescharacteristic
569C2×C3C2×C3×D3×D411yescharacteristic
570C2×C3C3×#100411yescharacteristic
571C2×C3C3×D3×#4111yescharacteristic
572D3—62no—
573D3—64no—
574C22—21no—
575C22—22no—
576C22—21no—
577C22—22no—
578C22—21no—
579C22—22no—
580C22—94no—
581C22—92no—
582C22—181no—
583C22—182no—
584C22—181no—
585C22—182no—
586C22—368no—
587C22C23×C3×D911yescharacteristic
588C4—21no—
589C4—22no—
590C4—181no—
591C4—182no—
592C4—181no—
593C4—181no—
594C4C3×D4×D912yes—
595C3—21no—
596C3#1058971411yescharacteristic, direct product factor
597C3C3×#561211yescharacteristic
598C2—42no—
599C2—41no—
600C2—182no—
601C2—184no—
602C2C2×C3×D4×D911yescharacteristic
603C2C3×#6371011yescharacteristic
604C2C3×#41×D911yescharacteristic
subgroupG/H
centerC22×C3C23×D9
commutator, cosocleC22×C9C24×C3
FrattiniC22×C3C23×C3×D3
FittingC3×C9×#121C2
socleC22×C32C23×D3
hypercenterC3×#121D9
hypocenterC9C3×#546
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×D4×D9C2semidirect
2. C2×C3×#3697C2semidirect
3. C3×C9×#121C2semidirect
4. C3×#63500C2semidirect
5. C3×#63499C2semidirect
6. C3×#63498C2semidirect
7. C3×C4×#611C2semidirect
8. C3×#63459C2semidirect
9. C3×#63455C2semidirect
10. C3×#63445C2semidirect
11. C3×C22⋊C4×D9C2semidirect
13. #10589714C3direct (N × H)
16. C2×C3×D4×C9C22semidirect
17. C22×C3×C4×C9C22semidirect
20. C2×C3×#611C22semidirect
25. C2×C3×C4×D9C22semidirect
26. C2×C3×C4×D9C22semidirect
27. C2×C3×Dic18C22semidirect
28. C3×C9×C4⋊C4C22semidirect
29. C3×C9×C22⋊C4C22semidirect
30. C3×#3676C22semidirect
31. C3×#3676C22semidirect
32. C3×#3676C22semidirect
35. C3×(C2×D9)⋊C4C22semidirect
36. C3×C4⋊Dic9C22semidirect
37. C3×Dic9⋊C4C22semidirect
38. C3×C4×Dic9C22semidirect
50. C2×D4×D9C2×C3semidirect
51. C2×#3697C2×C3semidirect
53. C9×#121C2×C3semidirect
54. #63500C2×C3semidirect
55. #63499C2×C3semidirect
56. #63498C2×C3semidirect
57. C4×#611C2×C3semidirect
58. #63459C2×C3semidirect
59. #63455C2×C3semidirect
60. #63445C2×C3semidirect
61. C22⋊C4×D9C2×C3semidirect
82. C3×D36D4semidirect
118. C2×D4×C9C22×C3semidirect
120. C22×C4×C9C22×C3semidirect
123. C2×#611C22×C3semidirect
128. C2×C4×D9C22×C3semidirect
129. C2×C4×D9C22×C3semidirect
130. C2×Dic18C22×C3semidirect
132. C9×C4⋊C4C22×C3semidirect
134. C9×C22⋊C4C22×C3semidirect
135. #3676C22×C3semidirect
136. #3676C22×C3semidirect
137. #3676C22×C3semidirect
140. (C2×D9)⋊C4C22×C3semidirect
141. C4⋊Dic9C22×C3semidirect
142. Dic9⋊C4C22×C3semidirect
143. C4×Dic9C22×C3semidirect
157. C2×C3×D9#41semidirect
174. C3×#121D9semidirect
241. D36C3×D4semidirect
266. C2×C3×D4C2×D9semidirect
273. C22×C3×C4C2×D9semidirect
288. C3×C4⋊C4C2×D9semidirect
297. C3×C22⋊C4C2×D9semidirect
350. C2×D9C3×#41semidirect
367. #121C3×D9semidirect
372. C3×C9#546semidirect
459. C2×D4C2×C3×D9semidirect
463. C22×C4C2×C3×D9semidirect
466. C4⋊C4C2×C3×D9semidirect
473. C22⋊C4C2×C3×D9semidirect
529. C9C3×#546semidirect
596. C3#10589714direct (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
C2×C3×#36972
C3×C9×#1212
C3×#635002
C3×#634992
C3×#634982
C3×C4×#6112
C3×#634592
C3×#634552
C3×#634452
C3×C22⋊C4×D92
C3×#56123
#105897143