Finite Group Databasebeta

← C3×#10589691 #13152754

Subgroups — C3×#10589691 #13152754

Order 1728.

1168 conjugacy classes of subgroups.

The subgroup lattice has 640 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#611C211yesmaximal, characteristic, complemented
2C2×C3×D4×D9C211yesmaximal, characteristic, complemented
3C3×C9×#120C211yesmaximal, characteristic, complemented
4C3×#63515C211yesmaximal, characteristic, complemented
5C3×#63500C212yesmaximal, complemented
6C3×#63499C212yesmaximal, complemented
7C3×#63497C211yesmaximal, characteristic, complemented
8C3×#63448C211yesmaximal, characteristic, complemented
9C3×#63446C212yesmaximal, complemented
10C3×#63445C212yesmaximal, complemented
11C3×C22⋊C4×D9C211yesmaximal, characteristic, complemented
12C3×#5589—31nomaximal
13#10589691C311yesmaximal, characteristic, direct product factor
14C24×C3×C9C2211yescharacteristic, complemented
15C23×C3×D9C2211yescharacteristic
16C23×C3×D9C2211yescharacteristic, complemented
17C2×C3×D4×C9C2211yescharacteristic
18C2×C3×D4×C9C2212yescomplemented
19C2×C3×#611—24no—
20C2×C3×#611C2211yescharacteristic
21C2×C3×#611C2212yes—
22C2×C3×#611C2211yescharacteristic, complemented
23C2×C3×#611C2212yescomplemented
24C2×C3×#611C2212yescomplemented
25C22×C3×Dic9C2211yescharacteristic, complemented
26C3×D4×D9—24no—
27C2×C3×D36C2211yescharacteristic, complemented
28C2×C3×C4×D9C2211yescharacteristic, complemented
29C2×C3×C4×D9C2212yescomplemented
30C3×C9×C22⋊C4C2211yescharacteristic, complemented
31C3×C9×C22⋊C4C2212yescomplemented
32C3×#3676C2212yescomplemented
33C3×#3676C2211yescharacteristic, complemented
34C3×#3676C2212yescomplemented
35C3×(C2×D9)⋊C4C2212yescomplemented
36C3×(C2×D9)⋊C4C2212yescomplemented
37C3×C4⋊Dic9C2212yescomplemented
38C3×Dic9⋊C4C2212yescomplemented
39C22×C3×#67—31no—
40C2×C3×D3×D4—31no—
41C32×#120D311yescharacteristic
42C3×#953—31no—
43C3×#938—32no—
44C3×#937—32no—
45C3×#935—31no—
46C3×#886—31no—
47C3×#884—32no—
48C3×#883—32no—
49C3×D3×C22⋊C4—31no—
50C22×#611C2×C311yescharacteristic, complemented
51C2×D4×D9C2×C311yescharacteristic, complemented
52C9×#120—21no—
53C9×#120C2×C311yescharacteristic, complemented
54#63515C2×C311yescharacteristic, complemented
55#63500C2×C312yescomplemented
56#63499C2×C312yescomplemented
57#63497C2×C311yescharacteristic, complemented
58#63448C2×C311yescharacteristic, complemented
59#63446C2×C312yescomplemented
60#63445C2×C312yescomplemented
61C22⋊C4×D9C2×C311yescharacteristic, complemented
62C23×C3×C9—22no—
63C23×C3×C9—42no—
64C23×C3×C9C2311yescharacteristic
65C23×C3×C9C2312yes—
66C23×C3×C9C2311yescharacteristic
67C22×C3×D9—22no—
68C22×C3×D9—42no—
69C22×C3×D9—42no—
70C22×C3×D9D414yescomplemented
71C22×C3×D9C2311yescharacteristic
72C22×C3×D9C2311yescharacteristic
73C22×C3×D9C2311yescharacteristic
74C3×D4×C9—22no—
75C3×D4×C9—42no—
76C2×C3×C4×C9C2311yescharacteristic
77C2×C3×C4×C9C2312yes—
78C3×#611—22no—
79C3×#611—22no—
80C3×#611—24no—
81C3×#611—24no—
82C3×#611—42no—
83C2×C3×Dic9—22no—
84C2×C3×Dic9C2311yescharacteristic
85C2×C3×Dic9C2312yes—
86C2×C3×Dic9C2312yes—
87C3×D36—22no—
88C3×C4×D9—22no—
89C3×C4×D9—42no—
90C3×#534—91no—
91#5589—31no—
92C24×C32C2×D311yescharacteristic
93C23×C3×D3—31no—
94C23×C3×D3—31no—
95C2×C32×D4C2×D311yescharacteristic
96C2×C32×D4C2×D312yes—
97C2×C3×#67—32no—
98C2×C3×#67—32no—
99C2×C3×#67—31no—
100C2×C3×#67—31no—
101C2×C3×#67—32no—
102C2×C3×#67—64no—
103C22×C3×Dic3—31no—
104C3×D3×D4—64no—
105C2×C3×D12—31no—
106C2×C3×C4×D3—31no—
107C2×C3×C4×D3—32no—
108C24×C9—21no—
109C24×C9C22×C311yescharacteristic, complemented
110C23×D9C22×C311yescharacteristic
111C23×D9C22×C311yescharacteristic, complemented
112C32×C22⋊C4C2×D311yescharacteristic
113C32×C22⋊C4C2×D312yes—
114C3×#217—31no—
115C3×#217—32no—
116C3×#217—32no—
117C3×(C2×D3)⋊C4—32no—
118C3×(C2×D3)⋊C4—32no—
119C3×C4⋊Dic3—32no—
120C3×Dic3⋊C4—32no—
121C2×D4×C9—21no—
122C2×D4×C9—22no—
123C2×D4×C9C22×C311yescharacteristic
124C2×D4×C9C22×C312yescomplemented
125C2×#611—24no—
126C2×#611C22×C312yes—
127C2×#611C22×C311yescharacteristic
128C2×#611C22×C311yescharacteristic, complemented
129C2×#611C22×C312yescomplemented
130C2×#611C22×C312yescomplemented
131C22×Dic9C22×C311yescharacteristic, complemented
132D4×D9—24no—
133C2×D36C22×C311yescharacteristic, complemented
134C2×C4×D9C22×C311yescharacteristic, complemented
135C2×C4×D9C22×C312yescomplemented
136C9×C22⋊C4—21no—
137C9×C22⋊C4—22no—
138C9×C22⋊C4C22×C311yescharacteristic, complemented
139C9×C22⋊C4C22×C312yescomplemented
140#3676C22×C312yescomplemented
141#3676C22×C311yescharacteristic, complemented
142#3676C22×C312yescomplemented
143(C2×D9)⋊C4C22×C312yescomplemented
144(C2×D9)⋊C4C22×C312yescomplemented
145C4⋊Dic9C22×C312yescomplemented
146Dic9⋊C4C22×C312yescomplemented
147C22×C3×C9—22no—
148C22×C3×C9—22no—
149C22×C3×C9—21no—
150C22×C3×C9—22no—
151C22×C3×C9—22no—
152C22×C3×C9—22no—
153C22×C3×C9—44no—
154C22×C3×C9C2×D412yes—
155C22×C3×C9C2411yescharacteristic
156C2×C3×D9—22no—
157C2×C3×D9—22no—
158C2×C3×D9—21no—
159C2×C3×D9—22no—
160C2×C3×D9—44no—
161C2×C3×D9—44no—
162C2×C3×D9C2×D412yes—
163C2×C3×D9C2×D412yes—
164C3×C4×C9—21no—
165C3×C4×C9—22no—
166C3×Dic9—21no—
167C3×Dic9—22no—
168C3×Dic9—22no—
169C22×C3×D4—91no—
170C22×C3×D4—91no—
171C22×#67—31no—
172C2×D3×D4—31no—
173C3×#123—91no—
174C3×#123—92no—
175C3×#123—91no—
176C3×#121—92no—
177C3×#121—92no—
178C3×#120—21no—
179C3×#120—91no—
180C3×#120—92no—
181C3×#120D911yescharacteristic, complemented
182C3×#120C3×D311yescharacteristic
183C2×C3×C22⋊C4—91no—
184#953—31no—
185#938—32no—
186#937—32no—
187#935—31no—
188#886—31no—
189#884—32no—
190#883—32no—
191D3×C22⋊C4—31no—
192C23×C32—22no—
193C23×C32—42no—
194C23×C32C22×D311yescharacteristic
195C23×C32C22×D312yes—
196C23×C32C22×D311yescharacteristic
197C22×C3×D3—31no—
198C22×C3×D3—31no—
199C22×C3×D3—34no—
200C22×C3×D3—31no—
201C22×C3×D3—62no—
202C22×C3×D3—122no—
203C22×C3×D3—122no—
204C32×D4—22no—
205C32×D4—42no—
206C2×C32×C4C22×D311yescharacteristic
207C2×C32×C4C22×D312yes—
208C3×#67—62no—
209C3×#67—64no—
210C3×#67—64no—
211C3×#67—62no—
212C3×#67—122no—
213C2×C3×Dic3—32no—
214C2×C3×Dic3—32no—
215C2×C3×Dic3—31no—
216C2×C3×Dic3—62no—
217C3×D12—62no—
218C3×C4×D3—62no—
219C3×C4×D3—122no—
220C23×C9—22no—
221C23×C9—22no—
222C23×C9—21no—
223C23×C9—21no—
224C23×C9—42no—
225C23×C9—42no—
226C23×C9—44no—
227C23×C9C23×C311yescharacteristic
228C23×C9C23×C312yes—
229C23×C9C23×C311yescharacteristic
230C22×D9—22no—
231C22×D9—42no—
232C22×D9—42no—
233C22×D9C3×D414yescomplemented
234C22×D9C23×C311yescharacteristic
235C22×D9C23×C311yescharacteristic
236C22×D9C23×C311yescharacteristic
237D4×C9—22no—
238D4×C9—42no—
239D4×C9—42no—
240D4×C9—44no—
241C2×C4×C9—21no—
242C2×C4×C9—22no—
243C2×C4×C9C23×C311yescharacteristic
244C2×C4×C9C23×C312yes—
245#611—22no—
246#611—22no—
247#611—24no—
248#611—24no—
249#611—42no—
250C2×Dic9—22no—
251C2×Dic9C23×C312yes—
252C2×Dic9C23×C312yes—
253C2×Dic9C23×C311yescharacteristic
254D36—22no—
255C4×D9—22no—
256C4×D9—42no—
257#534—91noSylow
258C2×C3×C9—22no—
259C2×C3×C9—42no—
260C2×C3×C9—41no—
261C2×C3×C9C22×D411yescharacteristic
262C2×C3×C9H(5,𝔽2)12yes—
263C3×D9—22no—
264C3×D9—22no—
265C3×D9—41no—
266C24×C3—21no—
267C24×C3—91no—
268C24×C3—91no—
269C24×C3C2×D911yescharacteristic, complemented
270C24×C3C2×C3×D311yescharacteristic
271C23×D3—31no—
272C23×D3—31no—
273C2×C3×D4—21no—
274C2×C3×D4—22no—
275C2×C3×D4—92no—
276C2×C3×D4—91no—
277C2×C3×D4—91no—
278C2×C3×D4—92no—
279C2×C3×D4—92no—
280C2×C3×D4—91no—
281C2×C3×D4—184no—
282C2×C3×D4—184no—
283C2×C3×D4C2×D911yescharacteristic
284C2×C3×D4C2×D912yescomplemented
285C2×C3×D4C2×C3×D311yescharacteristic
286C2×C3×D4C2×C3×D312yes—
287C22×C3×C4—91no—
288C22×C3×C4—91no—
289C22×C3×C4—92no—
290C2×#67—32no—
291C2×#67—32no—
292C2×#67—31no—
293C2×#67—31no—
294C2×#67—32no—
295C2×#67—64no—
296C22×Dic3—31no—
297D3×D4—64no—
298C2×D12—31no—
299C2×C4×D3—31no—
300C2×C4×D3—32no—
301C3×C4⋊C4—92no—
302C3×C4⋊C4—92no—
303C3×C22⋊C4—21no—
304C3×C22⋊C4—22no—
305C3×C22⋊C4—91no—
306C3×C22⋊C4—92no—
307C3×C22⋊C4—92no—
308C3×C22⋊C4—92no—
309C3×C22⋊C4—92no—
310C3×C22⋊C4C2×D911yescharacteristic, complemented
311C3×C22⋊C4C2×D912yescomplemented
312C3×C22⋊C4C2×C3×D311yescharacteristic
313C3×C22⋊C4C2×C3×D312yes—
314#217—31no—
315#217—32no—
316#217—32no—
317(C2×D3)⋊C4—32no—
318(C2×D3)⋊C4—32no—
319C4⋊Dic3—32no—
320Dic3⋊C4—32no—
321C22×C32—22no—
322C22×C32—22no—
323C22×C32—22no—
324C22×C32—21no—
325C22×C32—22no—
326C22×C32—22no—
327C22×C32—44no—
328C22×C32D3×D412yes—
329C22×C32C23×D311yescharacteristic
330C2×C3×D3—32no—
331C2×C3×D3—32no—
332C2×C3×D3—62no—
333C2×C3×D3—62no—
334C2×C3×D3—61no—
335C2×C3×D3—62no—
336C2×C3×D3—124no—
337C2×C3×D3—124no—
338C32×C4—21no—
339C32×C4—22no—
340C3×Dic3—61no—
341C3×Dic3—62no—
342C3×Dic3—62no—
343C22×C9—22no—
344C22×C9—24no—
345C22×C9—22no—
346C22×C9—21no—
347C22×C9—22no—
348C22×C9—22no—
349C22×C9—22no—
350C22×C9—21no—
351C22×C9—22no—
352C22×C9—42no—
353C22×C9—42no—
354C22×C9—42no—
355C22×C9—41no—
356C22×C9—42no—
357C22×C9—44no—
358C22×C9—48no—
359C22×C9C2×C3×D412yes—
360C22×C9C24×C311yescharacteristic
361C2×D9—22no—
362C2×D9—22no—
363C2×D9—21no—
364C2×D9—22no—
365C2×D9—44no—
366C2×D9—44no—
367C2×D9C2×C3×D412yes—
368C2×D9C2×C3×D412yes—
369C4×C9—21no—
370C4×C9—22no—
371C4×C9—41no—
372C4×C9—42no—
373Dic9—21no—
374Dic9—22no—
375Dic9—22no—
376C22×D4—91no—
377C22×D4—91no—
378#123—91no—
379#123—92no—
380#123—91no—
381#121—92no—
382#121—92no—
383#120—91no—
384#120—92no—
385#120C3×D911yescharacteristic, complemented
386C2×C22⋊C4—91no—
387C3×C9#53411yescharacteristic, complemented, Sylow
388C23×C3—22no—
389C23×C3—22no—
390C23×C3—22no—
391C23×C3—21no—
392C23×C3—21no—
393C23×C3—42no—
394C23×C3—42no—
395C23×C3—42no—
396C23×C3—44no—
397C23×C3—91no—
398C23×C3—91no—
399C23×C3—94no—
400C23×C3—91no—
401C23×C3—182no—
402C23×C3—362no—
403C23×C3—362no—
404C23×C3C22×D911yescharacteristic
405C23×C3C22×D912yes—
406C23×C3C22×D911yescharacteristic
407C23×C3C22×C3×D311yescharacteristic
408C23×C3C22×C3×D312yes—
409C23×C3C22×C3×D311yescharacteristic
410C22×D3—31no—
411C22×D3—31no—
412C22×D3—34no—
413C22×D3—31no—
414C22×D3—62no—
415C22×D3—122no—
416C22×D3—122no—
417C3×D4—22no—
418C3×D4—22no—
419C3×D4—42no—
420C3×D4—42no—
421C3×D4—42no—
422C3×D4—44no—
423C3×D4—182no—
424C3×D4—182no—
425C3×D4—184no—
426C3×D4—184no—
427C3×D4—182no—
428C3×D4—362no—
429C2×C3×C4—22no—
430C2×C3×C4—21no—
431C2×C3×C4—92no—
432C2×C3×C4—92no—
433C2×C3×C4—91no—
434C2×C3×C4—182no—
435C2×C3×C4—182no—
436C2×C3×C4—362no—
437C2×C3×C4C22×D912yes—
438C2×C3×C4C22×D911yescharacteristic
439C2×C3×C4C22×C3×D311yescharacteristic
440C2×C3×C4C22×C3×D312yes—
441#67—62no—
442#67—64no—
443#67—64no—
444#67—62no—
445#67—122no—
446C2×Dic3—32no—
447C2×Dic3—32no—
448C2×Dic3—31no—
449C2×Dic3—62no—
450D12—62no—
451C4×D3—62no—
452C4×D3—122no—
453C2×C32—22no—
454C2×C32—42no—
455C2×C32—41no—
456C2×C32C2×D3×D411yescharacteristic
457C2×C32#100412yes—
458C3×D3—62no—
459C3×D3—62no—
460C3×D3—121no—
461C2×C9—22no—
462C2×C9—21no—
463C2×C9—22no—
464C2×C9—42no—
465C2×C9—44no—
466C2×C9—41no—
467C2×C9—42no—
468C2×C9—81no—
469C2×C9C22×C3×D411yescharacteristic
470C2×C9C3×H(5,𝔽2)12yes—
471D9—22no—
472D9—22no—
473D9—41no—
474C24—91no—
475C24—91no—
476C24C2×C3×D911yescharacteristic, complemented
477C2×D4—92no—
478C2×D4—91no—
479C2×D4—91no—
480C2×D4—92no—
481C2×D4—92no—
482C2×D4—91no—
483C2×D4—184no—
484C2×D4—184no—
485C2×D4C2×C3×D911yescharacteristic
486C2×D4C2×C3×D912yescomplemented
487C22×C4—91no—
488C22×C4—91no—
489C22×C4—92no—
490C4⋊C4—92no—
491C4⋊C4—92no—
492C22⋊C4—91no—
493C22⋊C4—92no—
494C22⋊C4—92no—
495C22⋊C4—92no—
496C22⋊C4—92no—
497C22⋊C4C2×C3×D911yescharacteristic, complemented
498C22⋊C4C2×C3×D912yescomplemented
499C22×C3—22no—
500C22×C3—22no—
501C22×C3—24no—
502C22×C3—22no—
503C22×C3—21no—
504C22×C3—22no—
505C22×C3—22no—
506C22×C3—22no—
507C22×C3—21no—
508C22×C3—22no—
509C22×C3—22no—
510C22×C3—22no—
511C22×C3—22no—
512C22×C3—21no—
513C22×C3—22no—
514C22×C3—42no—
515C22×C3—42no—
516C22×C3—42no—
517C22×C3—41no—
518C22×C3—42no—
519C22×C3—44no—
520C22×C3—44no—
521C22×C3—48no—
522C22×C3—92no—
523C22×C3—92no—
524C22×C3—182no—
525C22×C3—182no—
526C22×C3—181no—
527C22×C3—182no—
528C22×C3—364no—
529C22×C3—364no—
530C22×C3D4×D912yes—
531C22×C3C23×D911yescharacteristic
532C22×C3C3×D3×D412yes—
533C22×C3C23×C3×D311yescharacteristic
534C2×D3—32no—
535C2×D3—32no—
536C2×D3—62no—
537C2×D3—62no—
538C2×D3—61no—
539C2×D3—62no—
540C2×D3—124no—
541C2×D3—124no—
542C3×C4—21no—
543C3×C4—22no—
544C3×C4—21no—
545C3×C4—22no—
546C3×C4—41no—
547C3×C4—42no—
548C3×C4—181no—
549C3×C4—182no—
550C3×C4—182no—
551Dic3—61no—
552Dic3—62no—
553Dic3—62no—
554C32#558911yescharacteristic
555C9—21no—
556C9C3×#53411yescharacteristic, complemented
557C23—22no—
558C23—42no—
559C23—91no—
560C23—91no—
561C23—94no—
562C23—91no—
563C23—182no—
564C23—362no—
565C23—362no—
566C23C22×C3×D911yescharacteristic
567C23C22×C3×D912yes—
568C23C22×C3×D911yescharacteristic
569D4—22no—
570D4—42no—
571D4—182no—
572D4—182no—
573D4—184no—
574D4—184no—
575D4—182no—
576D4—362no—
577C2×C4—92no—
578C2×C4—91no—
579C2×C4—92no—
580C2×C4—182no—
581C2×C4—182no—
582C2×C4—362no—
583C2×C4C22×C3×D912yes—
584C2×C4C22×C3×D911yescharacteristic
585C2×C3—22no—
586C2×C3—22no—
587C2×C3—21no—
588C2×C3—22no—
589C2×C3—42no—
590C2×C3—44no—
591C2×C3—41no—
592C2×C3—42no—
593C2×C3—42no—
594C2×C3—41no—
595C2×C3—81no—
596C2×C3—182no—
597C2×C3—182no—
598C2×C3—361no—
599C2×C3C2×D4×D911yescharacteristic
600C2×C3#6371012yes—
601C2×C3C2×C3×D3×D411yescharacteristic
602C2×C3C3×#100412yes—
603D3—62no—
604D3—62no—
605D3—121no—
606C22—22no—
607C22—21no—
608C22—22no—
609C22—22no—
610C22—22no—
611C22—22no—
612C22—44no—
613C22—92no—
614C22—92no—
615C22—182no—
616C22—182no—
617C22—181no—
618C22—182no—
619C22—364no—
620C22—364no—
621C22C3×D4×D912yes—
622C22C23×C3×D911yescharacteristic
623C4—21no—
624C4—22no—
625C4—181no—
626C4—182no—
627C4—182no—
628C3—21no—
629C3#1058969111yescharacteristic, direct product factor
630C3C3×#558911yescharacteristic
631C2—22no—
632C2—42no—
633C2—41no—
634C2—182no—
635C2—182no—
636C2—361no—
637C2C2×C3×D4×D911yescharacteristic
638C2C3×#6371012yes—
subgroupG/H
centerC22×C3C23×D9
commutator, cosocleC22×C9C24×C3
FrattiniC22×C3C23×C3×D3
FittingC3×C9×#120C2
socleC22×C32C23×D3
hypercenterC3×#120D9
hypocenterC9C3×#534
LCSG ▷ C22×C9 ▷ C9
UCSC1 ◁ C22×C3 ◁ C3×#120

Complements

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

NH ≅ G/Ntype
1. C22×C3×#611C2semidirect
2. C2×C3×D4×D9C2semidirect
3. C3×C9×#120C2semidirect
4. C3×#63515C2semidirect
5. C3×#63500C2semidirect
6. C3×#63499C2semidirect
7. C3×#63497C2semidirect
8. C3×#63448C2semidirect
9. C3×#63446C2semidirect
10. C3×#63445C2semidirect
11. C3×C22⋊C4×D9C2semidirect
13. #10589691C3direct (N × H)
14. C24×C3×C9C22semidirect
16. C23×C3×D9C22semidirect
18. C2×C3×D4×C9C22semidirect
22. C2×C3×#611C22semidirect
23. C2×C3×#611C22semidirect
24. C2×C3×#611C22semidirect
25. C22×C3×Dic9C22semidirect
27. C2×C3×D36C22semidirect
28. C2×C3×C4×D9C22semidirect
29. C2×C3×C4×D9C22semidirect
30. C3×C9×C22⋊C4C22semidirect
31. C3×C9×C22⋊C4C22semidirect
32. C3×#3676C22semidirect
33. C3×#3676C22semidirect
34. C3×#3676C22semidirect
35. C3×(C2×D9)⋊C4C22semidirect
36. C3×(C2×D9)⋊C4C22semidirect
37. C3×C4⋊Dic9C22semidirect
38. C3×Dic9⋊C4C22semidirect
50. C22×#611C2×C3semidirect
51. C2×D4×D9C2×C3semidirect
53. C9×#120C2×C3semidirect
54. #63515C2×C3semidirect
55. #63500C2×C3semidirect
56. #63499C2×C3semidirect
57. #63497C2×C3semidirect
58. #63448C2×C3semidirect
59. #63446C2×C3semidirect
60. #63445C2×C3semidirect
61. C22⋊C4×D9C2×C3semidirect
70. C22×C3×D9D4semidirect
109. C24×C9C22×C3semidirect
111. C23×D9C22×C3semidirect
124. C2×D4×C9C22×C3semidirect
128. C2×#611C22×C3semidirect
129. C2×#611C22×C3semidirect
130. C2×#611C22×C3semidirect
131. C22×Dic9C22×C3semidirect
133. C2×D36C22×C3semidirect
134. C2×C4×D9C22×C3semidirect
135. C2×C4×D9C22×C3semidirect
138. C9×C22⋊C4C22×C3semidirect
139. C9×C22⋊C4C22×C3semidirect
140. #3676C22×C3semidirect
141. #3676C22×C3semidirect
142. #3676C22×C3semidirect
143. (C2×D9)⋊C4C22×C3semidirect
144. (C2×D9)⋊C4C22×C3semidirect
145. C4⋊Dic9C22×C3semidirect
146. Dic9⋊C4C22×C3semidirect
181. C3×#120D9semidirect
233. C22×D9C3×D4semidirect
269. C24×C3C2×D9semidirect
284. C2×C3×D4C2×D9semidirect
310. C3×C22⋊C4C2×D9semidirect
311. C3×C22⋊C4C2×D9semidirect
385. #120C3×D9semidirect
387. C3×C9#534semidirect
476. C24C2×C3×D9semidirect
486. C2×D4C2×C3×D9semidirect
497. C22⋊C4C2×C3×D9semidirect
498. C22⋊C4C2×C3×D9semidirect
556. C9C3×#534semidirect
629. C3#10589691direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×#6112
C2×C3×D4×D92
C3×C9×#1202
C3×#635152
C3×#635002
C3×#634992
C3×#634972
C3×#634482
C3×#634462
C3×#634452
C3×C22⋊C4×D92
C3×#55893
#105896913