Finite Group Databasebeta

← C3×#10589755 #13153012

Subgroups — C3×#10589755 #13153012

Order 1728.

1116 conjugacy classes of subgroups.

The subgroup lattice has 628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D4×D9C211yesmaximal, characteristic, complemented
2C22×C3×D36C211yesmaximal, characteristic, complemented
3C3×C9×#123C211yesmaximal, characteristic, complemented
4C3×#63499C211yesmaximal, characteristic, complemented
5C3×#63491C211yesmaximal, characteristic, complemented
6C3×#63457C212yesmaximal, complemented
7C3×#63456C212yesmaximal, complemented
8C3×#63446C212yesmaximal, complemented
9C3×#63444C212yesmaximal, complemented
10C3×#63444C211yesmaximal, characteristic, complemented
11C3×C22⋊C4×D9C211yesmaximal, characteristic, complemented
12C3×#5653—31nomaximal
13#10589755C311yesmaximal, characteristic, direct product factor
14C23×C3×D9C2211yescharacteristic
15C23×C3×D9C2211yescharacteristic, complemented
16C23×C3×D9C2211yescharacteristic, complemented
17C2×C3×D4×C9C2211yescharacteristic
18C22×C3×C4×C9C2211yescharacteristic, complemented
19C2×C3×#611C2211yescharacteristic
20C2×C3×#611C2211yescharacteristic, complemented
21C2×C3×#611C2212yescomplemented
22C3×D4×D9—24no—
23C2×C3×D36—24no—
24C2×C3×D36C2212yes—
25C2×C3×D36C2212yescomplemented
26C2×C3×D36C2211yescharacteristic, complemented
27C2×C3×D36C2212yescomplemented
28C2×C3×C4×D9C2211yescharacteristic, complemented
29C2×C3×C4×D9C2212yescomplemented
30C3×C9×C4⋊C4C2212yescomplemented
31C3×C9×C22⋊C4C2211yescharacteristic, complemented
32C3×C9×C22⋊C4C2212yescomplemented
33C3×#3676C2211yescharacteristic, complemented
34C3×(C2×D9)⋊C4C2212yescomplemented
35C3×(C2×D9)⋊C4C2212yescomplemented
36C3×(C2×D9)⋊C4C2212yescomplemented
37C3×(C2×D9)⋊C4C2212yescomplemented
38C3×Dic9⋊C4C2212yescomplemented
39C2×C3×D3×D4—31no—
40C22×C3×D12—31no—
41C32×#123D311yescharacteristic
42C3×#937—31no—
43C3×#929—31no—
44C3×#895—32no—
45C3×#894—32no—
46C3×#884—32no—
47C3×#882—32no—
48C3×#882—31no—
49C3×D3×C22⋊C4—31no—
50C2×D4×D9C2×C311yescharacteristic, complemented
51C22×D36C2×C311yescharacteristic, complemented
52C9×#123—21no—
53C9×#123C2×C311yescharacteristic, complemented
54#63499C2×C311yescharacteristic, complemented
55#63491C2×C311yescharacteristic, complemented
56#63457C2×C312yescomplemented
57#63456C2×C312yescomplemented
58#63446C2×C312yescomplemented
59#63444C2×C312yescomplemented
60#63444C2×C311yescharacteristic, complemented
61C22⋊C4×D9C2×C311yescharacteristic, complemented
62C23×C3×C9C2311yescharacteristic
63C23×C3×C9C2311yescharacteristic
64C22×C3×D9—22no—
65C22×C3×D9—22no—
66C22×C3×D9—42no—
67C22×C3×D9—42no—
68C22×C3×D9—42no—
69C22×C3×D9D414yescomplemented
70C22×C3×D9C2312yes—
71C22×C3×D9C2311yescharacteristic
72C22×C3×D9C2311yescharacteristic
73C22×C3×D9C2311yescharacteristic
74C3×D4×C9—22no—
75C2×C3×C4×C9—22no—
76C2×C3×C4×C9C2311yescharacteristic
77C2×C3×C4×C9C2312yes—
78C2×C3×C4×C9C2312yes—
79C3×#611—22no—
80C3×#611—22no—
81C3×#611—42no—
82C2×C3×Dic9C2311yescharacteristic
83C2×C3×Dic9C2312yes—
84C3×D36—24no—
85C3×D36—24no—
86C3×D36—22no—
87C3×D36—42no—
88C3×C4×D9—22no—
89C3×C4×D9—42no—
90C3×#534—91no—
91#5653—31no—
92C23×C3×D3—31no—
93C23×C3×D3—31no—
94C23×C3×D3—31no—
95C2×C32×D4C2×D311yescharacteristic
96C22×C32×C4C2×D311yescharacteristic
97C2×C3×#67—31no—
98C2×C3×#67—31no—
99C2×C3×#67—32no—
100C3×D3×D4—64no—
101C2×C3×D12—32no—
102C2×C3×D12—32no—
103C2×C3×D12—31no—
104C2×C3×D12—32no—
105C2×C3×D12—64no—
106C2×C3×C4×D3—31no—
107C2×C3×C4×D3—32no—
108C23×D9C22×C311yescharacteristic
109C23×D9C22×C311yescharacteristic, complemented
110C23×D9C22×C311yescharacteristic, complemented
111C32×C4⋊C4C2×D312yes—
112C32×C22⋊C4C2×D311yescharacteristic
113C32×C22⋊C4C2×D312yes—
114C3×#217—31no—
115C3×(C2×D3)⋊C4—32no—
116C3×(C2×D3)⋊C4—32no—
117C3×(C2×D3)⋊C4—32no—
118C3×(C2×D3)⋊C4—32no—
119C3×Dic3⋊C4—32no—
120C2×D4×C9—21no—
121C2×D4×C9C22×C311yescharacteristic
122C22×C4×C9—21no—
123C22×C4×C9C22×C311yescharacteristic, complemented
124C2×#611C22×C311yescharacteristic
125C2×#611C22×C311yescharacteristic, complemented
126C2×#611C22×C312yescomplemented
127D4×D9—24no—
128C2×D36—24no—
129C2×D36C22×C312yes—
130C2×D36C22×C312yescomplemented
131C2×D36C22×C311yescharacteristic, complemented
132C2×D36C22×C312yescomplemented
133C2×C4×D9C22×C311yescharacteristic, complemented
134C2×C4×D9C22×C312yescomplemented
135C9×C4⋊C4—22no—
136C9×C4⋊C4C22×C312yescomplemented
137C9×C22⋊C4—21no—
138C9×C22⋊C4—22no—
139C9×C22⋊C4C22×C311yescharacteristic, complemented
140C9×C22⋊C4C22×C312yescomplemented
141#3676C22×C311yescharacteristic, complemented
142(C2×D9)⋊C4C22×C312yescomplemented
143(C2×D9)⋊C4C22×C312yescomplemented
144(C2×D9)⋊C4C22×C312yescomplemented
145(C2×D9)⋊C4C22×C312yescomplemented
146Dic9⋊C4C22×C312yescomplemented
147C22×C3×C9—22no—
148C22×C3×C9—21no—
149C22×C3×C9—22no—
150C22×C3×C9C2×D412yes—
151C22×C3×C9C2411yescharacteristic
152C2×C3×D9—22no—
153C2×C3×D9—22no—
154C2×C3×D9—22no—
155C2×C3×D9—21no—
156C2×C3×D9—22no—
157C2×C3×D9—22no—
158C2×C3×D9—22no—
159C2×C3×D9—44no—
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×C4×C9—22no—
167C3×Dic9—21no—
168C3×Dic9—22no—
169C22×C3×D4—91no—
170C22×C3×D4—91no—
171C2×D3×D4—31no—
172C22×D12—31no—
173C3×#123—21no—
174C3×#123—91no—
175C3×#123—92no—
176C3×#123D911yescharacteristic, complemented
177C3×#123C3×D311yescharacteristic
178C3×#121—92no—
179C3×#121—92no—
180C3×#120—91no—
181C3×#120—92no—
182C3×#120—91no—
183C2×C3×C22⋊C4—91no—
184#937—31no—
185#929—31no—
186#895—32no—
187#894—32no—
188#884—32no—
189#882—32no—
190#882—31no—
191D3×C22⋊C4—31no—
192C23×C32C22×D311yescharacteristic
193C23×C32C22×D311yescharacteristic
194C22×C3×D3—31no—
195C22×C3×D3—31no—
196C22×C3×D3—34no—
197C22×C3×D3—32no—
198C22×C3×D3—31no—
199C22×C3×D3—62no—
200C22×C3×D3—62no—
201C22×C3×D3—122no—
202C22×C3×D3—122no—
203C22×C3×D3—122no—
204C32×D4—22no—
205C2×C32×C4—22no—
206C2×C32×C4C22×D312yes—
207C2×C32×C4C22×D312yes—
208C2×C32×C4C22×D311yescharacteristic
209C3×#67—62no—
210C3×#67—62no—
211C3×#67—122no—
212C2×C3×Dic3—31no—
213C2×C3×Dic3—32no—
214C3×D12—64no—
215C3×D12—64no—
216C3×D12—62no—
217C3×D12—122no—
218C3×C4×D3—62no—
219C3×C4×D3—122no—
220C23×C9—21no—
221C23×C9—21no—
222C23×C9C23×C311yescharacteristic
223C23×C9C23×C311yescharacteristic
224C22×D9—22no—
225C22×D9—22no—
226C22×D9—42no—
227C22×D9—42no—
228C22×D9—42no—
229C22×D9C3×D414yescomplemented
230C22×D9C23×C312yes—
231C22×D9C23×C311yescharacteristic
232C22×D9C23×C311yescharacteristic
233C22×D9C23×C311yescharacteristic
234D4×C9—22no—
235D4×C9—42no—
236C2×C4×C9—22no—
237C2×C4×C9—22no—
238C2×C4×C9—22no—
239C2×C4×C9—21no—
240C2×C4×C9—42no—
241C2×C4×C9C23×C312yes—
242C2×C4×C9C23×C312yes—
243C2×C4×C9C23×C311yescharacteristic
244#611—22no—
245#611—22no—
246#611—42no—
247C2×Dic9C23×C311yescharacteristic
248C2×Dic9C23×C312yes—
249D36—24no—
250D36—24no—
251D36—22no—
252D36—42no—
253C4×D9—22no—
254C4×D9—42no—
255#534—91noSylow
256C2×C3×C9—22no—
257C2×C3×C9—41no—
258C2×C3×C9C22×D411yescharacteristic
259C2×C3×C9H(5,𝔽2)12yes—
260C3×D9—22no—
261C3×D9—22no—
262C3×D9—42no—
263C3×D9—41no—
264C24×C3—91no—
265C24×C3—91no—
266C24×C3—91no—
267C23×D3—31no—
268C23×D3—31no—
269C23×D3—31no—
270C2×C3×D4—21no—
271C2×C3×D4—91no—
272C2×C3×D4—91no—
273C2×C3×D4—92no—
274C2×C3×D4—92no—
275C2×C3×D4—91no—
276C2×C3×D4—92no—
277C2×C3×D4—92no—
278C2×C3×D4—184no—
279C2×C3×D4—184no—
280C2×C3×D4C2×D911yescharacteristic
281C2×C3×D4C2×C3×D311yescharacteristic
282C22×C3×C4—21no—
283C22×C3×C4—91no—
284C22×C3×C4—92no—
285C22×C3×C4C2×D911yescharacteristic, complemented
286C22×C3×C4C2×C3×D311yescharacteristic
287C2×#67—31no—
288C2×#67—31no—
289C2×#67—32no—
290D3×D4—64no—
291C2×D12—32no—
292C2×D12—32no—
293C2×D12—31no—
294C2×D12—32no—
295C2×D12—64no—
296C2×C4×D3—31no—
297C2×C4×D3—32no—
298C3×C4⋊C4—22no—
299C3×C4⋊C4—92no—
300C3×C4⋊C4C2×D912yescomplemented
301C3×C4⋊C4C2×C3×D312yes—
302C3×C22⋊C4—21no—
303C3×C22⋊C4—22no—
304C3×C22⋊C4—91no—
305C3×C22⋊C4—92no—
306C3×C22⋊C4—92no—
307C3×C22⋊C4—92no—
308C3×C22⋊C4—92no—
309C3×C22⋊C4C2×D911yescharacteristic, complemented
310C3×C22⋊C4C2×D912yescomplemented
311C3×C22⋊C4C2×C3×D311yescharacteristic
312C3×C22⋊C4C2×C3×D312yes—
313#217—31no—
314(C2×D3)⋊C4—32no—
315(C2×D3)⋊C4—32no—
316(C2×D3)⋊C4—32no—
317(C2×D3)⋊C4—32no—
318Dic3⋊C4—32no—
319C22×C32—22no—
320C22×C32—21no—
321C22×C32—22no—
322C22×C32D3×D412yes—
323C22×C32C23×D311yescharacteristic
324C2×C3×D3—32no—
325C2×C3×D3—32no—
326C2×C3×D3—62no—
327C2×C3×D3—62no—
328C2×C3×D3—62no—
329C2×C3×D3—61no—
330C2×C3×D3—62no—
331C2×C3×D3—62no—
332C2×C3×D3—62no—
333C2×C3×D3—124no—
334C2×C3×D3—124no—
335C2×C3×D3—124no—
336C32×C4—21no—
337C32×C4—22no—
338C32×C4—22no—
339C3×Dic3—61no—
340C3×Dic3—62no—
341C22×C9—22no—
342C22×C9—21no—
343C22×C9—22no—
344C22×C9—21no—
345C22×C9—22no—
346C22×C9—42no—
347C22×C9—41no—
348C22×C9—42no—
349C22×C9C2×C3×D412yes—
350C22×C9C24×C311yescharacteristic
351C2×D9—22no—
352C2×D9—22no—
353C2×D9—22no—
354C2×D9—21no—
355C2×D9—22no—
356C2×D9—22no—
357C2×D9—22no—
358C2×D9—44no—
359C2×D9—44no—
360C2×D9—44no—
361C2×D9C2×C3×D412yes—
362C2×D9C2×C3×D412yes—
363C4×C9—21no—
364C4×C9—22no—
365C4×C9—22no—
366C4×C9—42no—
367C4×C9—42no—
368C4×C9—41no—
369Dic9—21no—
370Dic9—22no—
371C22×D4—91no—
372C22×D4—91no—
373#123—91no—
374#123—92no—
375#123C3×D911yescharacteristic, complemented
376#121—92no—
377#121—92no—
378#120—91no—
379#120—92no—
380#120—91no—
381C2×C22⋊C4—91no—
382C3×C9#53411yescharacteristic, complemented, Sylow
383C23×C3—21no—
384C23×C3—21no—
385C23×C3—91no—
386C23×C3—91no—
387C23×C3—94no—
388C23×C3—91no—
389C23×C3—92no—
390C23×C3—182no—
391C23×C3—182no—
392C23×C3—362no—
393C23×C3—362no—
394C23×C3—362no—
395C23×C3C22×D911yescharacteristic
396C23×C3C22×D911yescharacteristic
397C23×C3C22×C3×D311yescharacteristic
398C23×C3C22×C3×D311yescharacteristic
399C22×D3—31no—
400C22×D3—31no—
401C22×D3—34no—
402C22×D3—32no—
403C22×D3—31no—
404C22×D3—62no—
405C22×D3—62no—
406C22×D3—122no—
407C22×D3—122no—
408C22×D3—122no—
409C3×D4—22no—
410C3×D4—22no—
411C3×D4—42no—
412C3×D4—184no—
413C3×D4—184no—
414C3×D4—182no—
415C3×D4—182no—
416C3×D4—182no—
417C3×D4—362no—
418C3×D4—362no—
419C2×C3×C4—22no—
420C2×C3×C4—22no—
421C2×C3×C4—22no—
422C2×C3×C4—22no—
423C2×C3×C4—21no—
424C2×C3×C4—42no—
425C2×C3×C4—92no—
426C2×C3×C4—91no—
427C2×C3×C4—182no—
428C2×C3×C4—362no—
429C2×C3×C4C22×D912yes—
430C2×C3×C4C22×D911yescharacteristic
431C2×C3×C4C22×D912yes—
432C2×C3×C4C22×C3×D312yes—
433C2×C3×C4C22×C3×D312yes—
434C2×C3×C4C22×C3×D311yescharacteristic
435#67—62no—
436#67—62no—
437#67—122no—
438C2×Dic3—31no—
439C2×Dic3—32no—
440D12—64no—
441D12—64no—
442D12—62no—
443D12—122no—
444C4×D3—62no—
445C4×D3—122no—
446C2×C32—22no—
447C2×C32—41no—
448C2×C32C2×D3×D411yescharacteristic
449C2×C32#100912yes—
450C3×D3—62no—
451C3×D3—62no—
452C3×D3—122no—
453C3×D3—121no—
454C2×C9—22no—
455C2×C9—21no—
456C2×C9—22no—
457C2×C9—42no—
458C2×C9—41no—
459C2×C9—81no—
460C2×C9C22×C3×D411yescharacteristic
461C2×C9C3×H(5,𝔽2)12yes—
462D9—22no—
463D9—22no—
464D9—42no—
465D9—41no—
466C24—91no—
467C24—91no—
468C24—91no—
469C2×D4—91no—
470C2×D4—91no—
471C2×D4—92no—
472C2×D4—92no—
473C2×D4—91no—
474C2×D4—92no—
475C2×D4—92no—
476C2×D4—184no—
477C2×D4—184no—
478C2×D4C2×C3×D911yescharacteristic
479C22×C4—91no—
480C22×C4—92no—
481C22×C4C2×C3×D911yescharacteristic, complemented
482C4⋊C4—92no—
483C4⋊C4C2×C3×D912yescomplemented
484C22⋊C4—91no—
485C22⋊C4—92no—
486C22⋊C4—92no—
487C22⋊C4—92no—
488C22⋊C4—92no—
489C22⋊C4C2×C3×D911yescharacteristic, complemented
490C22⋊C4C2×C3×D912yescomplemented
491C22×C3—22no—
492C22×C3—22no—
493C22×C3—21no—
494C22×C3—22no—
495C22×C3—21no—
496C22×C3—22no—
497C22×C3—21no—
498C22×C3—22no—
499C22×C3—42no—
500C22×C3—41no—
501C22×C3—42no—
502C22×C3—92no—
503C22×C3—92no—
504C22×C3—182no—
505C22×C3—182no—
506C22×C3—182no—
507C22×C3—181no—
508C22×C3—182no—
509C22×C3—182no—
510C22×C3—182no—
511C22×C3—364no—
512C22×C3—364no—
513C22×C3—364no—
514C22×C3D4×D912yes—
515C22×C3C23×D911yescharacteristic
516C22×C3C3×D3×D412yes—
517C22×C3C23×C3×D311yescharacteristic
518C2×D3—32no—
519C2×D3—32no—
520C2×D3—62no—
521C2×D3—62no—
522C2×D3—62no—
523C2×D3—61no—
524C2×D3—62no—
525C2×D3—62no—
526C2×D3—62no—
527C2×D3—124no—
528C2×D3—124no—
529C2×D3—124no—
530C3×C4—21no—
531C3×C4—22no—
532C3×C4—22no—
533C3×C4—22no—
534C3×C4—21no—
535C3×C4—22no—
536C3×C4—42no—
537C3×C4—41no—
538C3×C4—42no—
539C3×C4—181no—
540C3×C4—182no—
541Dic3—61no—
542Dic3—62no—
543C32#565311yescharacteristic
544C9—21no—
545C9C3×#53411yescharacteristic, complemented
546C23—91no—
547C23—91no—
548C23—94no—
549C23—91no—
550C23—92no—
551C23—182no—
552C23—182no—
553C23—362no—
554C23—362no—
555C23—362no—
556C23C22×C3×D911yescharacteristic
557C23C22×C3×D911yescharacteristic
558D4—22no—
559D4—184no—
560D4—184no—
561D4—182no—
562D4—182no—
563D4—182no—
564D4—362no—
565D4—362no—
566C2×C4—22no—
567C2×C4—92no—
568C2×C4—91no—
569C2×C4—182no—
570C2×C4—362no—
571C2×C4C22×C3×D912yes—
572C2×C4C22×C3×D911yescharacteristic
573C2×C4C22×C3×D912yes—
574C2×C3—22no—
575C2×C3—22no—
576C2×C3—21no—
577C2×C3—22no—
578C2×C3—42no—
579C2×C3—41no—
580C2×C3—41no—
581C2×C3—81no—
582C2×C3—182no—
583C2×C3—182no—
584C2×C3—362no—
585C2×C3—361no—
586C2×C3C2×D4×D911yescharacteristic
587C2×C3#6371512yes—
588C2×C3C2×C3×D3×D411yescharacteristic
589C2×C3C3×#100912yes—
590D3—62no—
591D3—62no—
592D3—122no—
593D3—121no—
594C22—22no—
595C22—21no—
596C22—22no—
597C22—92no—
598C22—92no—
599C22—182no—
600C22—182no—
601C22—182no—
602C22—181no—
603C22—182no—
604C22—182no—
605C22—182no—
606C22—364no—
607C22—364no—
608C22—364no—
609C22C3×D4×D912yes—
610C22C23×C3×D911yescharacteristic
611C4—22no—
612C4—21no—
613C4—22no—
614C4—181no—
615C4—182no—
616C3—21no—
617C3#1058975511yescharacteristic, direct product factor
618C3C3×#565311yescharacteristic
619C2—22no—
620C2—41no—
621C2—182no—
622C2—182no—
623C2—362no—
624C2—361no—
625C2C2×C3×D4×D911yescharacteristic
626C2C3×#6371512yes—
subgroupG/H
centerC22×C3C23×D9
commutator, cosocleC22×C9C24×C3
FrattiniC22×C3C23×C3×D3
FittingC3×C9×#123C2
socleC22×C32C23×D3
hypercenterC3×#123D9
hypocenterC9C3×#534
LCSG ▷ C22×C9 ▷ C9
UCSC1 ◁ C22×C3 ◁ C3×#123

Complements

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

NH ≅ G/Ntype
1. C2×C3×D4×D9C2semidirect
2. C22×C3×D36C2semidirect
3. C3×C9×#123C2semidirect
4. C3×#63499C2semidirect
5. C3×#63491C2semidirect
6. C3×#63457C2semidirect
7. C3×#63456C2semidirect
8. C3×#63446C2semidirect
9. C3×#63444C2semidirect
10. C3×#63444C2semidirect
11. C3×C22⋊C4×D9C2semidirect
13. #10589755C3direct (N × H)
15. C23×C3×D9C22semidirect
16. C23×C3×D9C22semidirect
18. C22×C3×C4×C9C22semidirect
20. C2×C3×#611C22semidirect
21. C2×C3×#611C22semidirect
25. C2×C3×D36C22semidirect
26. C2×C3×D36C22semidirect
27. C2×C3×D36C22semidirect
28. C2×C3×C4×D9C22semidirect
29. C2×C3×C4×D9C22semidirect
30. C3×C9×C4⋊C4C22semidirect
31. C3×C9×C22⋊C4C22semidirect
32. C3×C9×C22⋊C4C22semidirect
33. C3×#3676C22semidirect
34. C3×(C2×D9)⋊C4C22semidirect
35. C3×(C2×D9)⋊C4C22semidirect
36. C3×(C2×D9)⋊C4C22semidirect
37. C3×(C2×D9)⋊C4C22semidirect
38. C3×Dic9⋊C4C22semidirect
50. C2×D4×D9C2×C3semidirect
51. C22×D36C2×C3semidirect
53. C9×#123C2×C3semidirect
54. #63499C2×C3semidirect
55. #63491C2×C3semidirect
56. #63457C2×C3semidirect
57. #63456C2×C3semidirect
58. #63446C2×C3semidirect
59. #63444C2×C3semidirect
60. #63444C2×C3semidirect
61. C22⋊C4×D9C2×C3semidirect
69. C22×C3×D9D4semidirect
109. C23×D9C22×C3semidirect
110. C23×D9C22×C3semidirect
123. C22×C4×C9C22×C3semidirect
125. C2×#611C22×C3semidirect
126. C2×#611C22×C3semidirect
130. C2×D36C22×C3semidirect
131. C2×D36C22×C3semidirect
132. C2×D36C22×C3semidirect
133. C2×C4×D9C22×C3semidirect
134. C2×C4×D9C22×C3semidirect
136. C9×C4⋊C4C22×C3semidirect
139. C9×C22⋊C4C22×C3semidirect
140. C9×C22⋊C4C22×C3semidirect
141. #3676C22×C3semidirect
142. (C2×D9)⋊C4C22×C3semidirect
143. (C2×D9)⋊C4C22×C3semidirect
144. (C2×D9)⋊C4C22×C3semidirect
145. (C2×D9)⋊C4C22×C3semidirect
146. Dic9⋊C4C22×C3semidirect
176. C3×#123D9semidirect
229. C22×D9C3×D4semidirect
285. C22×C3×C4C2×D9semidirect
300. C3×C4⋊C4C2×D9semidirect
309. C3×C22⋊C4C2×D9semidirect
310. C3×C22⋊C4C2×D9semidirect
375. #123C3×D9semidirect
382. C3×C9#534semidirect
481. C22×C4C2×C3×D9semidirect
483. C4⋊C4C2×C3×D9semidirect
489. C22⋊C4C2×C3×D9semidirect
490. C22⋊C4C2×C3×D9semidirect
545. C9C3×#534semidirect
617. C3#10589755direct (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
C22×C3×D362
C3×C9×#1232
C3×#634992
C3×#634912
C3×#634572
C3×#634562
C3×#634462
C3×#634442
C3×C22⋊C4×D92
C3×#56533
#105897553