Finite Group Databasebeta

← C3×#10589732 #13152911

Subgroups — C3×#10589732 #13152911

Order 1728.

1076 conjugacy classes of subgroups.

The subgroup lattice has 598 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#3701C211yesmaximal, characteristic, complemented
2C22×C3×D36C211yesmaximal, characteristic, complemented
3C3×C9×C22⋊Q8C211yesmaximal, characteristic, complemented
4C3×#63509C211yesmaximal, characteristic, complemented
5C3×C4×#611C211yesmaximal, characteristic, complemented
6C3×#63457C211yesmaximal, characteristic, complemented
7C3×#63457C212yesmaximal, complemented
8C3×#63456C212yesmaximal, complemented
9C3×#63455C211yesmaximal, characteristic, complemented
10C3×#63444C212yesmaximal, complemented
11C3×C22⋊C4×D9C212yesmaximal, complemented
12C3×#5630—31nomaximal
13#10589732C311yesmaximal, characteristic, direct product factor
14C23×C3×D9C2212yes—
15C2×C3×Q8×C9C2211yescharacteristic, complemented
16C22×C3×C4×C9C2211yescharacteristic
17C2×C3×#611C2211yescharacteristic
18C3×#3701—24no—
19C2×C3×D36—24no—
20C2×C3×D36C2211yescharacteristic
21C2×C3×D36C2212yes—
22C2×C3×D36C2211yescharacteristic
23C2×C3×D36C2212yescomplemented
24C2×C3×D36C2212yescomplemented
25C2×C3×C4×D9C2211yescharacteristic, complemented
26C2×C3×C4×D9C2212yescomplemented
27C2×C3×C4×D9C2212yescomplemented
28C3×C9×C4⋊C4C2211yescharacteristic, complemented
29C3×C9×C4⋊C4C2212yescomplemented
30C3×C9×C22⋊C4C2212yes—
31C3×#3676C2211yescharacteristic
32C3×(C2×D9)⋊C4C2211yescharacteristic, complemented
33C3×(C2×D9)⋊C4C2212yescomplemented
34C3×(C2×D9)⋊C4C2212yescomplemented
35C3×(C2×D9)⋊C4C2212yescomplemented
36C3×(C2×D9)⋊C4C2212yescomplemented
37C3×Dic9⋊C4C2211yescharacteristic, complemented
38C3×C4×Dic9C2211yescharacteristic, complemented
39C2×C3×#239—31no—
40C22×C3×D12—31no—
41C32×C22⋊Q8D311yescharacteristic
42C3×#947—31no—
43C3×C4×#67—31no—
44C3×#895—31no—
45C3×#895—32no—
46C3×#894—32no—
47C3×#893—31no—
48C3×#882—32no—
49C3×D3×C22⋊C4—32no—
50C2×#3701C2×C311yescharacteristic, complemented
51C22×D36C2×C311yescharacteristic, complemented
52C9×C22⋊Q8—21no—
53C9×C22⋊Q8C2×C311yescharacteristic, complemented
54#63509C2×C311yescharacteristic, complemented
55C4×#611C2×C311yescharacteristic, complemented
56#63457C2×C312yescomplemented
57#63457C2×C311yescharacteristic, complemented
58#63456C2×C312yescomplemented
59#63455C2×C311yescharacteristic, complemented
60#63444C2×C312yescomplemented
61C22⋊C4×D9C2×C312yescomplemented
62C23×C3×C9C2311yescharacteristic
63C22×C3×D9—24no—
64C22×C3×D9—24no—
65C22×C3×D9—42no—
66C22×C3×D9C2312yes—
67C22×C3×D9C2311yescharacteristic
68C22×C3×D9C2312yes—
69C3×Q8×C9—22no—
70C2×C3×C4×C9—22no—
71C2×C3×C4×C9C2312yes—
72C2×C3×C4×C9C2312yes—
73C2×C3×C4×C9C2311yescharacteristic
74C2×C3×C4×C9C2311yescharacteristic
75C3×#611—22no—
76C2×C3×Dic9C2311yescharacteristic
77C2×C3×Dic9C2311yescharacteristic
78C2×C3×Dic9C2311yescharacteristic
79C3×D36—24no—
80C3×D36—24no—
81C3×D36—22no—
82C3×D36—42no—
83C3×D36D414yescomplemented
84C3×C4×D9—24no—
85C3×C4×D9—22no—
86C3×C4×D9—42no—
87C3×#546—91no—
88#5630—31no—
89C23×C3×D3—32no—
90C2×C32×Q8C2×D311yescharacteristic
91C22×C32×C4C2×D311yescharacteristic
92C2×C3×#67—31no—
93C3×#239—64no—
94C2×C3×D12—31no—
95C2×C3×D12—32no—
96C2×C3×D12—32no—
97C2×C3×D12—31no—
98C2×C3×D12—32no—
99C2×C3×D12—64no—
100C2×C3×C4×D3—32no—
101C2×C3×C4×D3—31no—
102C2×C3×C4×D3—32no—
103C23×D9C22×C312yes—
104C32×C4⋊C4C2×D311yescharacteristic
105C32×C4⋊C4C2×D312yes—
106C32×C22⋊C4C2×D312yes—
107C3×#217—31no—
108C3×(C2×D3)⋊C4—32no—
109C3×(C2×D3)⋊C4—32no—
110C3×(C2×D3)⋊C4—32no—
111C3×(C2×D3)⋊C4—32no—
112C3×(C2×D3)⋊C4—31no—
113C3×Dic3⋊C4—31no—
114C3×C4×Dic3—31no—
115C2×Q8×C9—21no—
116C2×Q8×C9C22×C311yescharacteristic, complemented
117C22×C4×C9—21no—
118C22×C4×C9C22×C311yescharacteristic
119C2×#611C22×C311yescharacteristic
120#3701—24no—
121C2×D36—24no—
122C2×D36C22×C311yescharacteristic
123C2×D36C22×C312yes—
124C2×D36C22×C311yescharacteristic
125C2×D36C22×C312yescomplemented
126C2×D36C22×C312yescomplemented
127C2×C4×D9C22×C311yescharacteristic, complemented
128C2×C4×D9C22×C312yescomplemented
129C2×C4×D9C22×C312yescomplemented
130C9×C4⋊C4—21no—
131C9×C4⋊C4—22no—
132C9×C4⋊C4C22×C311yescharacteristic, complemented
133C9×C4⋊C4C22×C312yescomplemented
134C9×C22⋊C4—22no—
135C9×C22⋊C4C22×C312yes—
136#3676C22×C311yescharacteristic
137(C2×D9)⋊C4C22×C311yescharacteristic, complemented
138(C2×D9)⋊C4C22×C312yescomplemented
139(C2×D9)⋊C4C22×C312yescomplemented
140(C2×D9)⋊C4C22×C312yescomplemented
141(C2×D9)⋊C4C22×C312yescomplemented
142Dic9⋊C4C22×C311yescharacteristic, complemented
143C4×Dic9C22×C311yescharacteristic, complemented
144C22×C3×C9—21no—
145C22×C3×C9—21no—
146C22×C3×C9#4112yescomplemented
147C22×C3×C9C2411yescharacteristic
148C2×C3×D9—22no—
149C2×C3×D9—22no—
150C2×C3×D9—21no—
151C2×C3×D9—22no—
152C2×C3×D9—21no—
153C2×C3×D9—22no—
154C2×C3×D9—21no—
155C2×C3×D9—22no—
156C2×C3×D9—48no—
157C2×C3×D9C2×D414yes—
158C3×C4×C9—22no—
159C3×C4×C9—21no—
160C3×C4×C9—22no—
161C3×C4×C9C2×D412yes—
162C3×Dic9—21no—
163C3×Dic9—21no—
164C3×Dic9—21no—
165C2×C3×#41—91no—
166C22×C3×D4—91no—
167C2×#239—31no—
168C22×D12—31no—
169C3×#124—91no—
170C3×#123—92no—
171C3×C22⋊Q8—21no—
172C3×C22⋊Q8D911yescharacteristic, complemented
173C3×C22⋊Q8C3×D311yescharacteristic
174C3×#121—91no—
175C3×#121—92no—
176C3×#120—92no—
177C3×C4×D4—91no—
178C3×C4×D4—91no—
179C2×C3×C22⋊C4—92no—
180#947—31no—
181C4×#67—31no—
182#895—31no—
183#895—32no—
184#894—32no—
185#893—31no—
186#882—32no—
187D3×C22⋊C4—32no—
188C23×C32C22×D311yescharacteristic
189C22×C3×D3—32no—
190C22×C3×D3—32no—
191C22×C3×D3—31no—
192C22×C3×D3—64no—
193C22×C3×D3—64no—
194C22×C3×D3—122no—
195C32×Q8—22no—
196C2×C32×C4—22no—
197C2×C32×C4C22×D311yescharacteristic
198C2×C32×C4C22×D312yes—
199C2×C32×C4C22×D312yes—
200C2×C32×C4C22×D311yescharacteristic
201C3×#67—62no—
202C2×C3×Dic3—31no—
203C2×C3×Dic3—31no—
204C2×C3×Dic3—31no—
205C3×D12—34no—
206C3×D12—64no—
207C3×D12—64no—
208C3×D12—62no—
209C3×D12—122no—
210C3×C4×D3—64no—
211C3×C4×D3—62no—
212C3×C4×D3—122no—
213C23×C9—21no—
214C23×C9C23×C311yescharacteristic
215C22×D9—24no—
216C22×D9—24no—
217C22×D9—42no—
218C22×D9C23×C312yes—
219C22×D9C23×C311yescharacteristic
220C22×D9C23×C312yes—
221Q8×C9—22no—
222Q8×C9—42no—
223C2×C4×C9—22no—
224C2×C4×C9—21no—
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—
232C2×C4×C9C23×C311yescharacteristic
233#611—22no—
234C2×Dic9C23×C311yescharacteristic
235C2×Dic9C23×C311yescharacteristic
236C2×Dic9C23×C311yescharacteristic
237D36—24no—
238D36—24no—
239D36—22no—
240D36—42no—
241D36C3×D414yescomplemented
242C4×D9—24no—
243C4×D9—22no—
244C4×D9—42no—
245#546—91noSylow
246C2×C3×C9—22no—
247C2×C3×C9C22×D411yescharacteristic
248C2×C3×C9C2×#4111yescharacteristic
249C2×C3×C9H(5,𝔽2)11yescharacteristic
250C3×D9—24no—
251C3×D9—41no—
252C3×D9—42no—
253C24×C3—92no—
254C23×D3—32no—
255C3×#41—184no—
256C2×C3×Q8—21no—
257C2×C3×Q8C2×D911yescharacteristic, complemented
258C2×C3×Q8C2×C3×D311yescharacteristic
259C2×C3×D4—91no—
260C2×C3×D4—91no—
261C2×C3×D4—92no—
262C2×C3×D4—92no—
263C2×C3×D4—91no—
264C2×C3×D4—92no—
265C2×C3×D4—184no—
266C22×C3×C4—21no—
267C22×C3×C4—92no—
268C22×C3×C4—91no—
269C22×C3×C4—92no—
270C22×C3×C4C2×D911yescharacteristic
271C22×C3×C4C2×C3×D311yescharacteristic
272C2×#67—31no—
273#239—64no—
274C2×D12—31no—
275C2×D12—32no—
276C2×D12—31no—
277C2×D12—32no—
278C2×D12—32no—
279C2×D12—64no—
280C2×C4×D3—32no—
281C2×C4×D3—31no—
282C2×C4×D3—32no—
283C3×C4⋊C4—21no—
284C3×C4⋊C4—22no—
285C3×C4⋊C4—91no—
286C3×C4⋊C4C2×D911yescharacteristic, complemented
287C3×C4⋊C4C2×D912yescomplemented
288C3×C4⋊C4C2×C3×D311yescharacteristic
289C3×C4⋊C4C2×C3×D312yes—
290C3×C22⋊C4—22no—
291C3×C22⋊C4—91no—
292C3×C22⋊C4—92no—
293C3×C22⋊C4—92no—
294C3×C22⋊C4—92no—
295C3×C22⋊C4—91no—
296C3×C22⋊C4—92no—
297C3×C22⋊C4C2×D912yes—
298C3×C22⋊C4C2×C3×D312yes—
299C3×C42—91no—
300#217—31no—
301(C2×D3)⋊C4—32no—
302(C2×D3)⋊C4—32no—
303(C2×D3)⋊C4—32no—
304(C2×D3)⋊C4—32no—
305(C2×D3)⋊C4—31no—
306Dic3⋊C4—31no—
307C4×Dic3—31no—
308C22×C32—21no—
309C22×C32—21no—
310C22×C32#23912yes—
311C22×C32C23×D311yescharacteristic
312C2×C3×D3—34no—
313C2×C3×D3—62no—
314C2×C3×D3—62no—
315C2×C3×D3—61no—
316C2×C3×D3—62no—
317C2×C3×D3—61no—
318C2×C3×D3—62no—
319C2×C3×D3—61no—
320C2×C3×D3—62no—
321C2×C3×D3—128no—
322C32×C4—22no—
323C32×C4—21no—
324C32×C4—22no—
325C32×C4D3×D412yes—
326C3×Dic3—61no—
327C3×Dic3—61no—
328C3×Dic3—61no—
329C22×C9—21no—
330C22×C9—21no—
331C22×C9—21no—
332C22×C9—22no—
333C22×C9—41no—
334C22×C9—41no—
335C22×C9C3×#4112yescomplemented
336C22×C9C24×C311yescharacteristic
337C2×D9—22no—
338C2×D9—22no—
339C2×D9—21no—
340C2×D9—22no—
341C2×D9—21no—
342C2×D9—22no—
343C2×D9—21no—
344C2×D9—22no—
345C2×D9—48no—
346C2×D9C2×C3×D414yes—
347C4×C9—22no—
348C4×C9—21no—
349C4×C9—22no—
350C4×C9—22no—
351C4×C9—42no—
352C4×C9—41no—
353C4×C9—42no—
354C4×C9C2×C3×D412yes—
355Dic9—21no—
356Dic9—21no—
357Dic9—21no—
358C2×#41—91no—
359C22×D4—91no—
360#124—91no—
361#123—92no—
362C22⋊Q8C3×D911yescharacteristic, complemented
363#121—91no—
364#121—92no—
365#120—92no—
366C4×D4—91no—
367C4×D4—91no—
368C2×C22⋊C4—92no—
369C3×C9#54611yescharacteristic, complemented, Sylow
370C23×C3—21no—
371C23×C3—92no—
372C23×C3—92no—
373C23×C3—91no—
374C23×C3—184no—
375C23×C3—184no—
376C23×C3—362no—
377C23×C3C22×D911yescharacteristic
378C23×C3C22×C3×D311yescharacteristic
379C22×D3—32no—
380C22×D3—32no—
381C22×D3—31no—
382C22×D3—64no—
383C22×D3—64no—
384C22×D3—122no—
385C3×Q8—22no—
386C3×Q8—22no—
387C3×Q8—42no—
388C3×D4—94no—
389C3×D4—184no—
390C3×D4—184no—
391C3×D4—182no—
392C3×D4—182no—
393C3×D4—362no—
394C2×C3×C4—22no—
395C2×C3×C4—22no—
396C2×C3×C4—21no—
397C2×C3×C4—22no—
398C2×C3×C4—22no—
399C2×C3×C4—21no—
400C2×C3×C4—42no—
401C2×C3×C4—91no—
402C2×C3×C4—91no—
403C2×C3×C4—91no—
404C2×C3×C4—184no—
405C2×C3×C4—182no—
406C2×C3×C4—362no—
407C2×C3×C4C22×D912yes—
408C2×C3×C4C22×D912yes—
409C2×C3×C4C22×D911yescharacteristic
410C2×C3×C4C22×D911yescharacteristic
411C2×C3×C4C22×C3×D311yescharacteristic
412C2×C3×C4C22×C3×D312yes—
413C2×C3×C4C22×C3×D312yes—
414C2×C3×C4C22×C3×D311yescharacteristic
415#67—62no—
416C2×Dic3—31no—
417C2×Dic3—31no—
418C2×Dic3—31no—
419D12—34no—
420D12—64no—
421D12—64no—
422D12—62no—
423D12—122no—
424C4×D3—64no—
425C4×D3—62no—
426C4×D3—122no—
427C2×C32—22no—
428C2×C32C2×D3×D411yescharacteristic
429C2×C32C2×#23911yescharacteristic
430C2×C32#100911yescharacteristic
431C3×D3—64no—
432C3×D3—121no—
433C3×D3—122no—
434C2×C9—22no—
435C2×C9—21no—
436C2×C9—21no—
437C2×C9—21no—
438C2×C9—42no—
439C2×C9C22×C3×D411yescharacteristic
440C2×C9C2×C3×#4111yescharacteristic
441C2×C9C3×H(5,𝔽2)11yescharacteristic
442D9—24no—
443D9—41no—
444D9—42no—
445C24—92no—
446#41—184no—
447C2×Q8C2×C3×D911yescharacteristic, complemented
448C2×D4—91no—
449C2×D4—91no—
450C2×D4—92no—
451C2×D4—92no—
452C2×D4—91no—
453C2×D4—92no—
454C2×D4—184no—
455C22×C4—92no—
456C22×C4—91no—
457C22×C4—92no—
458C22×C4C2×C3×D911yescharacteristic
459C4⋊C4—91no—
460C4⋊C4C2×C3×D911yescharacteristic, complemented
461C4⋊C4C2×C3×D912yescomplemented
462C22⋊C4—91no—
463C22⋊C4—92no—
464C22⋊C4—92no—
465C22⋊C4—92no—
466C22⋊C4—91no—
467C22⋊C4—92no—
468C22⋊C4C2×C3×D912yes—
469C42—91no—
470C22×C3—21no—
471C22×C3—21no—
472C22×C3—21no—
473C22×C3—21no—
474C22×C3—21no—
475C22×C3—22no—
476C22×C3—41no—
477C22×C3—41no—
478C22×C3—94no—
479C22×C3—182no—
480C22×C3—182no—
481C22×C3—181no—
482C22×C3—182no—
483C22×C3—181no—
484C22×C3—182no—
485C22×C3—181no—
486C22×C3—182no—
487C22×C3—368no—
488C22×C3#370112yescomplemented
489C22×C3C23×D911yescharacteristic
490C22×C3C3×#23912yes—
491C22×C3C23×C3×D311yescharacteristic
492C2×D3—34no—
493C2×D3—62no—
494C2×D3—62no—
495C2×D3—61no—
496C2×D3—62no—
497C2×D3—61no—
498C2×D3—62no—
499C2×D3—61no—
500C2×D3—62no—
501C2×D3—128no—
502C3×C4—22no—
503C3×C4—21no—
504C3×C4—22no—
505C3×C4—21no—
506C3×C4—22no—
507C3×C4—22no—
508C3×C4—22no—
509C3×C4—41no—
510C3×C4—42no—
511C3×C4—42no—
512C3×C4—181no—
513C3×C4—181no—
514C3×C4—181no—
515C3×C4D4×D912yes—
516C3×C4C3×D3×D412yes—
517Dic3—61no—
518Dic3—61no—
519Dic3—61no—
520C32#563011yescharacteristic
521C9—21no—
522C9C3×#54611yescharacteristic, complemented
523C23—92no—
524C23—92no—
525C23—91no—
526C23—184no—
527C23—184no—
528C23—362no—
529C23C22×C3×D911yescharacteristic
530Q8—22no—
531D4—94no—
532D4—184no—
533D4—184no—
534D4—182no—
535D4—182no—
536D4—362no—
537C2×C4—22no—
538C2×C4—91no—
539C2×C4—91no—
540C2×C4—91no—
541C2×C4—184no—
542C2×C4—182no—
543C2×C4—362no—
544C2×C4C22×C3×D912yes—
545C2×C4C22×C3×D912yes—
546C2×C4C22×C3×D911yescharacteristic
547C2×C4C22×C3×D911yescharacteristic
548C2×C3—22no—
549C2×C3—22no—
550C2×C3—21no—
551C2×C3—21no—
552C2×C3—21no—
553C2×C3—42no—
554C2×C3—184no—
555C2×C3—362no—
556C2×C3—361no—
557C2×C3C2×D4×D911yescharacteristic
558C2×C3C2×#370111yescharacteristic
559C2×C3#6371511yescharacteristic
560C2×C3C2×C3×D3×D411yescharacteristic
561C2×C3C2×C3×#23911yescharacteristic
562C2×C3C3×#100911yescharacteristic
563D3—64no—
564D3—122no—
565D3—121no—
566C22—21no—
567C22—21no—
568C22—94no—
569C22—182no—
570C22—182no—
571C22—181no—
572C22—182no—
573C22—181no—
574C22—182no—
575C22—181no—
576C22—182no—
577C22—368no—
578C22C3×#370112yescomplemented
579C22C23×C3×D911yescharacteristic
580C4—21no—
581C4—22no—
582C4—22no—
583C4—181no—
584C4—181no—
585C4—181no—
586C4C3×D4×D912yes—
587C3—21no—
588C3#1058973211yescharacteristic, direct product factor
589C3C3×#563011yescharacteristic
590C2—22no—
591C2—184no—
592C2—362no—
593C2—361no—
594C2C2×C3×D4×D911yescharacteristic
595C2C2×C3×#370111yescharacteristic
596C2C3×#6371511yescharacteristic
subgroupG/H
centerC22×C3C23×D9
commutator, cosocleC22×C9C24×C3
FrattiniC22×C3C23×C3×D3
FittingC3×C9×C22⋊Q8C2
socleC22×C32C23×D3
hypercenterC3×C22⋊Q8D9
hypocenterC9C3×#546
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×D36C2semidirect
3. C3×C9×C22⋊Q8C2semidirect
4. C3×#63509C2semidirect
5. C3×C4×#611C2semidirect
6. C3×#63457C2semidirect
7. C3×#63457C2semidirect
8. C3×#63456C2semidirect
9. C3×#63455C2semidirect
10. C3×#63444C2semidirect
11. C3×C22⋊C4×D9C2semidirect
13. #10589732C3direct (N × H)
15. C2×C3×Q8×C9C22semidirect
23. C2×C3×D36C22semidirect
24. C2×C3×D36C22semidirect
25. C2×C3×C4×D9C22semidirect
26. C2×C3×C4×D9C22semidirect
27. C2×C3×C4×D9C22semidirect
28. C3×C9×C4⋊C4C22semidirect
29. C3×C9×C4⋊C4C22semidirect
32. C3×(C2×D9)⋊C4C22semidirect
33. C3×(C2×D9)⋊C4C22semidirect
34. C3×(C2×D9)⋊C4C22semidirect
35. C3×(C2×D9)⋊C4C22semidirect
36. C3×(C2×D9)⋊C4C22semidirect
37. C3×Dic9⋊C4C22semidirect
38. C3×C4×Dic9C22semidirect
50. C2×#3701C2×C3semidirect
51. C22×D36C2×C3semidirect
53. C9×C22⋊Q8C2×C3semidirect
54. #63509C2×C3semidirect
55. C4×#611C2×C3semidirect
56. #63457C2×C3semidirect
57. #63457C2×C3semidirect
58. #63456C2×C3semidirect
59. #63455C2×C3semidirect
60. #63444C2×C3semidirect
61. C22⋊C4×D9C2×C3semidirect
83. C3×D36D4semidirect
116. C2×Q8×C9C22×C3semidirect
125. C2×D36C22×C3semidirect
126. C2×D36C22×C3semidirect
127. C2×C4×D9C22×C3semidirect
128. C2×C4×D9C22×C3semidirect
129. C2×C4×D9C22×C3semidirect
132. C9×C4⋊C4C22×C3semidirect
133. C9×C4⋊C4C22×C3semidirect
137. (C2×D9)⋊C4C22×C3semidirect
138. (C2×D9)⋊C4C22×C3semidirect
139. (C2×D9)⋊C4C22×C3semidirect
140. (C2×D9)⋊C4C22×C3semidirect
141. (C2×D9)⋊C4C22×C3semidirect
142. Dic9⋊C4C22×C3semidirect
143. C4×Dic9C22×C3semidirect
146. C22×C3×C9#41semidirect
172. C3×C22⋊Q8D9semidirect
241. D36C3×D4semidirect
257. C2×C3×Q8C2×D9semidirect
286. C3×C4⋊C4C2×D9semidirect
287. C3×C4⋊C4C2×D9semidirect
335. C22×C9C3×#41semidirect
362. C22⋊Q8C3×D9semidirect
369. C3×C9#546semidirect
447. C2×Q8C2×C3×D9semidirect
460. C4⋊C4C2×C3×D9semidirect
461. C4⋊C4C2×C3×D9semidirect
488. C22×C3#3701semidirect
522. C9C3×#546semidirect
578. C22C3×#3701semidirect
588. C3#10589732direct (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×D362
C3×C9×C22⋊Q82
C3×#635092
C3×C4×#6112
C3×#634572
C3×#634562
C3×#634552
C3×#634442
C3×C22⋊C4×D92
C3×#56303
#105897323