Finite Group Databasebeta

← C3×#86579 #11904855

Subgroups — C3×#86579 #11904855

Order 1152.

2777 conjugacy classes of subgroups.

The subgroup lattice has 608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C32×#543C211yesmaximal, characteristic, complemented
2C3×#5644C214yesmaximal, complemented
3C3×#5637C218yesmaximal, complemented
4C3×#5630C218yesmaximal, complemented
5C3×#5627C214yesmaximal, complemented
6C3×#5493C211yesmaximal, characteristic, complemented
7C2×C3×#882C212yesmaximal, complemented
8C3×#5486C212yesmaximal, complemented
9C2×C3×D3×C22⋊C4C211yesmaximal, characteristic, complemented
10C3×#3490—31nomaximal
11#86579C311yesmaximal, characteristic, direct product factor
12C24×C3×D3C2211yescharacteristic
13C22×C3×#67C2212yes—
14C2×C3×#239C2214yescomplemented
15C22×C3×D12C2214yescomplemented
16C22×C3×C4×D3C2212yescomplemented
17C32×C22⋊Q8C2214yescomplemented
18C32×C22⋊Q8C2218yescomplemented
19C2×C32×C22⋊C4C2212yes—
20C2×C32×C22⋊C4C2211yescharacteristic
21C2×C3×#217C2211yescharacteristic
22C3×#947C2218yescomplemented
23C3×#946C2214yescomplemented
24C3×#930C2214yescomplemented
25C3×C4×#67C2218yescomplemented
26C2×C3×(C2×D3)⋊C4C2214yescomplemented
27C2×C3×(C2×D3)⋊C4C2212yescomplemented
28C3×#898C2218yescomplemented
29C3×#895C2218yescomplemented
30C3×#895C2214yescomplemented
31C3×#894C2218yescomplemented
32C3×#894C2218yescomplemented
33C3×#893C2218yescomplemented
34C3×#892C2214yescomplemented
35C3×#886C2214yescomplemented
36C3×#882C2218yes—
37C3×#882C2214yescomplemented
38C3×#882C2214yescomplemented
39C3×#882C2214yescomplemented
40C3×#67⋊C4C2218yescomplemented
41C3×D3×C22⋊C4C2218yescomplemented
42C3×D3×C22⋊C4C2214yescomplemented
43C3×#877C2214yescomplemented
44C3×#551—38no—
45C3×#546—38no—
46C3×#543—21no—
47C3×#543D311yescharacteristic, complemented
48C3×#543C2×C311yescharacteristic, complemented
49C3×#538—34no—
50C3×#534—31no—
51C3×#525—34no—
52C2×C3×#120—32no—
53C3×#518—32no—
54C22×C3×C22⋊C4—31no—
55#5644C2×C314yescomplemented
56#5637C2×C318yescomplemented
57#5630C2×C318yescomplemented
58#5627C2×C314yescomplemented
59#5493C2×C311yescharacteristic, complemented
60C2×#882C2×C312yescomplemented
61#5486C2×C312yescomplemented
62C2×D3×C22⋊C4C2×C311yescharacteristic, complemented
63C24×C32C2311yescharacteristic
64C23×C3×D3—24no—
65C23×C3×D3—44no—
66C23×C3×D3C2311yescharacteristic
67C23×C3×D3C2314yes—
68C23×C3×D3C2312yes—
69C23×C3×D3C2311yescharacteristic
70C2×C32×Q8C2314yescomplemented
71C22×C32×C4C2314yes—
72C22×C32×C4C2312yes—
73C2×C3×#67—28no—
74C2×C3×#67C2314yes—
75C2×C3×#67C2314yes—
76C22×C3×Dic3C2312yes—
77C22×C3×Dic3C2312yes—
78C3×#239—48no—
79C2×C3×D12—48no—
80C2×C3×D12C2318yes—
81C2×C3×D12C2318yes—
82C2×C3×D12C2314yescomplemented
83C2×C3×C4×D3—44no—
84C2×C3×C4×D3C2314yes—
85C2×C3×C4×D3C2314yes—
86C2×C3×C4×D3C2318yescomplemented
87C32×C4⋊C4C2314yescomplemented
88C32×C4⋊C4C2318yescomplemented
89C32×C22⋊C4C2314yes—
90C32×C22⋊C4C2314yes—
91C32×C22⋊C4C2314yes—
92C3×#217C2314yes—
93C3×(C2×D3)⋊C4C2318yes—
94C3×(C2×D3)⋊C4C2318yes—
95C3×(C2×D3)⋊C4C2318yes—
96C3×(C2×D3)⋊C4C2318yescomplemented
97C3×(C2×D3)⋊C4C2318yescomplemented
98C3×C4⋊Dic3C2314yescomplemented
99C3×Dic3⋊C4C2318yescomplemented
100C3×C4×Dic3C2318yescomplemented
101#3490—31noSylow
102C25×C3—31no—
103C24×D3C22×C311yescharacteristic
104C2×C3×#41—34no—
105C22×C3×D4—32no—
106C22×C3×D4—34no—
107C23×C3×C4—32no—
108C22×#67C22×C312yes—
109C2×#239C22×C314yescomplemented
110C22×D12C22×C314yescomplemented
111C22×C4×D3C22×C312yescomplemented
112C3×#126—38no—
113C3×#124—38no—
114C3×#123—38no—
115C3×#123—38no—
116C3×#123—34no—
117C3×C22⋊Q8—24no—
118C3×C22⋊Q8—28no—
119C3×C22⋊Q8—34no—
120C3×C22⋊Q8C2×D314yescomplemented
121C3×C22⋊Q8C2×D318yescomplemented
122C3×C22⋊Q8C22×C318yescomplemented
123C3×C22⋊Q8C22×C314yescomplemented
124C3×#121—34no—
125C3×#121—34no—
126C3×#121—38no—
127C3×#120—38no—
128C3×#120—34no—
129C3×#120—34no—
130C3×#120—34no—
131C3×C4×D4—38no—
132C3×C4×D4—38no—
133C3×C4×D4—38no—
134C3×#117—34no—
135C3×#117—34no—
136C2×C3×C22⋊C4—21no—
137C2×C3×C22⋊C4—22no—
138C2×C3×C22⋊C4—31no—
139C2×C3×C22⋊C4—32no—
140C2×C3×C22⋊C4—34no—
141C2×C3×C22⋊C4—38no—
142C2×C3×C22⋊C4—34no—
143C2×C3×C22⋊C4C2×D311yescharacteristic
144C2×C3×C22⋊C4C2×D312yes—
145C2×C3×C22⋊C4C22×C311yescharacteristic
146C2×C3×C22⋊C4C22×C312yes—
147C2×#217C22×C311yescharacteristic
148#947C22×C318yescomplemented
149#946C22×C314yescomplemented
150#930C22×C314yescomplemented
151C4×#67C22×C318yescomplemented
152C2×(C2×D3)⋊C4C22×C314yescomplemented
153C2×(C2×D3)⋊C4C22×C312yescomplemented
154#898C22×C318yescomplemented
155#895C22×C318yescomplemented
156#895C22×C314yescomplemented
157#894C22×C318yescomplemented
158#894C22×C318yescomplemented
159#893C22×C318yescomplemented
160#892C22×C314yescomplemented
161#886C22×C314yescomplemented
162#882C22×C318yes—
163#882C22×C314yescomplemented
164#882C22×C314yescomplemented
165#882C22×C314yescomplemented
166#67⋊C4C22×C318yescomplemented
167D3×C22⋊C4C22×C318yescomplemented
168D3×C22⋊C4C22×C314yescomplemented
169#877C22×C314yescomplemented
170C23×C32—42no—
171C23×C32#4114yescomplemented
172C23×C32C2412yes—
173C23×C32C2411yescharacteristic
174C22×C3×D3—22no—
175C22×C3×D3—24no—
176C22×C3×D3—28no—
177C22×C3×D3—22no—
178C22×C3×D3—24no—
179C22×C3×D3—28no—
180C22×C3×D3—44no—
181C22×C3×D3—42no—
182C22×C3×D3—44no—
183C22×C3×D3—416no—
184C22×C3×D3C2412yes—
185C22×C3×D3C2414yes—
186C22×C3×D3C2412yes—
187C32×Q8—44no—
188C2×C32×C4—42no—
189C2×C32×C4—44no—
190C2×C32×C4C2418yes—
191C2×C32×C4C2414yes—
192C3×#67—28no—
193C3×#67—28no—
194C2×C3×Dic3—24no—
195C2×C3×Dic3—42no—
196C2×C3×Dic3C2414yes—
197C2×C3×Dic3C2414yes—
198C3×D12—216no—
199C3×D12—48no—
200C3×D12—44no—
201C3×C4×D3—28no—
202C3×C4×D3—44no—
203C3×C4×D3—48no—
204#551—38no—
205#546—38no—
206#543C3×D311yescharacteristic, complemented
207#538—34no—
208#534—31no—
209#525—34no—
210C2×#120—32no—
211#518—32no—
212C22×C22⋊C4—31no—
213C24×C3—21no—
214C24×C3—31no—
215C24×C3—34no—
216C24×C3—31no—
217C24×C3—32no—
218C24×C3—64no—
219C24×C3—124no—
220C24×C3C22×D311yescharacteristic
221C24×C3C23×C311yescharacteristic
222C23×D3—24no—
223C23×D3—44no—
224C23×D3C23×C311yescharacteristic
225C23×D3C23×C314yes—
226C23×D3C23×C312yes—
227C23×D3C23×C311yescharacteristic
228C3×#41—128no—
229C2×C3×Q8—24no—
230C2×C3×Q8C22×D314yescomplemented
231C2×C3×Q8C23×C314yescomplemented
232C2×C3×D4—34no—
233C2×C3×D4—34no—
234C2×C3×D4—38no—
235C2×C3×D4—34no—
236C2×C3×D4—38no—
237C2×C3×D4—68no—
238C2×C3×D4—128no—
239C22×C3×C4—24no—
240C22×C3×C4—22no—
241C22×C3×C4—32no—
242C22×C3×C4—32no—
243C22×C3×C4—34no—
244C22×C3×C4—34no—
245C22×C3×C4—38no—
246C22×C3×C4—124no—
247C22×C3×C4C22×D314yes—
248C22×C3×C4C22×D312yes—
249C22×C3×C4C23×C314yes—
250C22×C3×C4C23×C312yes—
251C2×#67—28no—
252C2×#67C23×C314yes—
253C2×#67C23×C314yes—
254C22×Dic3C23×C312yes—
255C22×Dic3C23×C312yes—
256#239—48no—
257C2×D12—48no—
258C2×D12C23×C318yes—
259C2×D12C23×C318yes—
260C2×D12C23×C314yescomplemented
261C2×C4×D3—44no—
262C2×C4×D3C23×C314yes—
263C2×C4×D3C23×C314yes—
264C2×C4×D3C23×C318yescomplemented
265C3×C4⋊C4—24no—
266C3×C4⋊C4—28no—
267C3×C4⋊C4—38no—
268C3×C4⋊C4—34no—
269C3×C4⋊C4C22×D314yescomplemented
270C3×C4⋊C4C22×D318yescomplemented
271C3×C4⋊C4C23×C314yescomplemented
272C3×C4⋊C4C23×C318yescomplemented
273C3×C22⋊C4—24no—
274C3×C22⋊C4—24no—
275C3×C22⋊C4—24no—
276C3×C22⋊C4—34no—
277C3×C22⋊C4—38no—
278C3×C22⋊C4—38no—
279C3×C22⋊C4—38no—
280C3×C22⋊C4—38no—
281C3×C22⋊C4—38no—
282C3×C22⋊C4C22×D314yes—
283C3×C22⋊C4C22×D314yes—
284C3×C22⋊C4C22×D314yes—
285C3×C22⋊C4C23×C314yes—
286C3×C22⋊C4C23×C314yes—
287C3×C22⋊C4C23×C314yes—
288C3×C42—38no—
289#217C23×C314yes—
290(C2×D3)⋊C4C23×C318yes—
291(C2×D3)⋊C4C23×C318yes—
292(C2×D3)⋊C4C23×C318yes—
293(C2×D3)⋊C4C23×C318yescomplemented
294(C2×D3)⋊C4C23×C318yescomplemented
295C4⋊Dic3C23×C314yescomplemented
296Dic3⋊C4C23×C318yescomplemented
297C4×Dic3C23×C318yescomplemented
298C22×C32—22no—
299C22×C32—24no—
300C22×C32—44no—
301C22×C32C2×#4114yes—
302C22×C32C2×#4112yes—
303C22×C32C2511yescharacteristic
304C2×C3×D3—28no—
305C2×C3×D3—22no—
306C2×C3×D3—22no—
307C2×C3×D3—24no—
308C2×C3×D3—22no—
309C2×C3×D3—28no—
310C2×C3×D3—24no—
311C2×C3×D3—416no—
312C2×C3×D3—44no—
313C2×C3×D3—84no—
314C2×C3×D3H(5,𝔽2)14yes—
315C32×C4—24no—
316C32×C4—28no—
317C3×Dic3—24no—
318C3×Dic3—24no—
319C25—31no—
320C2×#41—34no—
321C22×D4—32no—
322C22×D4—34no—
323C23×C4—32no—
324#126—38no—
325#124—38no—
326#123—38no—
327#123—38no—
328#123—34no—
329C22⋊Q8—34no—
330C22⋊Q8C2×C3×D314yescomplemented
331C22⋊Q8C2×C3×D318yescomplemented
332#121—34no—
333#121—34no—
334#121—38no—
335#120—34no—
336#120—34no—
337#120—38no—
338#120—34no—
339C4×D4—38no—
340C4×D4—38no—
341C4×D4—38no—
342#117—34no—
343#117—34no—
344C2×C22⋊C4—31no—
345C2×C22⋊C4—32no—
346C2×C22⋊C4—34no—
347C2×C22⋊C4—38no—
348C2×C22⋊C4—34no—
349C2×C22⋊C4C2×C3×D311yescharacteristic
350C2×C22⋊C4C2×C3×D312yes—
351C23×C3—22no—
352C23×C3—21no—
353C23×C3—24no—
354C23×C3—32no—
355C23×C3—32no—
356C23×C3—34no—
357C23×C3—42no—
358C23×C3—42no—
359C23×C3—64no—
360C23×C3—68no—
361C23×C3—62no—
362C23×C3—68no—
363C23×C3—62no—
364C23×C3—64no—
365C23×C3—82no—
366C23×C3—122no—
367C23×C3—124no—
368C23×C3—124no—
369C23×C3—1216no—
370C23×C3#23914yescomplemented
371C23×C3C3×#4114yescomplemented
372C23×C3C23×D312yes—
373C23×C3C23×D311yescharacteristic
374C23×C3C24×C312yes—
375C23×C3C24×C311yescharacteristic
376C22×D3—22no—
377C22×D3—24no—
378C22×D3—28no—
379C22×D3—22no—
380C22×D3—24no—
381C22×D3—28no—
382C22×D3—44no—
383C22×D3—42no—
384C22×D3—44no—
385C22×D3—416no—
386C22×D3C24×C312yes—
387C22×D3C24×C314yes—
388C22×D3C24×C312yes—
389C3×Q8—44no—
390C3×Q8—44no—
391C3×Q8—84no—
392C3×D4—616no—
393C3×D4—68no—
394C3×D4—68no—
395C3×D4—128no—
396C3×D4—124no—
397C2×C3×C4—28no—
398C2×C3×C4—24no—
399C2×C3×C4—34no—
400C2×C3×C4—34no—
401C2×C3×C4—42no—
402C2×C3×C4—44no—
403C2×C3×C4—42no—
404C2×C3×C4—44no—
405C2×C3×C4—68no—
406C2×C3×C4—64no—
407C2×C3×C4—82no—
408C2×C3×C4—84no—
409C2×C3×C4—124no—
410C2×C3×C4—128no—
411C2×C3×C4—122no—
412C2×C3×C4C23×D318yes—
413C2×C3×C4C23×D314yes—
414C2×C3×C4C24×C318yes—
415C2×C3×C4C24×C314yes—
416#67—28no—
417#67—28no—
418C2×Dic3—24no—
419C2×Dic3—42no—
420C2×Dic3C24×C314yes—
421C2×Dic3C24×C314yes—
422D12—216no—
423D12—48no—
424D12—44no—
425C4×D3—28no—
426C4×D3—44no—
427C4×D3—48no—
428C2×C32—22no—
429C2×C32—24no—
430C2×C32C22×#4111yescharacteristic
431C2×C32C2×H(5,𝔽2)12yes—
432C3×D3—24no—
433C3×D3—42no—
434C3×D3—44no—
435C24—31no—
436C24—34no—
437C24—31no—
438C24—32no—
439C24—64no—
440C24—124no—
441C24C22×C3×D311yescharacteristic
442#41—128no—
443C2×Q8C22×C3×D314yescomplemented
444C2×D4—34no—
445C2×D4—34no—
446C2×D4—38no—
447C2×D4—34no—
448C2×D4—38no—
449C2×D4—68no—
450C2×D4—128no—
451C22×C4—32no—
452C22×C4—32no—
453C22×C4—34no—
454C22×C4—34no—
455C22×C4—38no—
456C22×C4—124no—
457C22×C4C22×C3×D314yes—
458C22×C4C22×C3×D312yes—
459C4⋊C4—38no—
460C4⋊C4—34no—
461C4⋊C4C22×C3×D314yescomplemented
462C4⋊C4C22×C3×D318yescomplemented
463C22⋊C4—34no—
464C22⋊C4—38no—
465C22⋊C4—38no—
466C22⋊C4—38no—
467C22⋊C4—38no—
468C22⋊C4—38no—
469C22⋊C4C22×C3×D314yes—
470C22⋊C4C22×C3×D314yes—
471C22⋊C4C22×C3×D314yes—
472C42—38no—
473C22×C3—22no—
474C22×C3—24no—
475C22×C3—22no—
476C22×C3—24no—
477C22×C3—24no—
478C22×C3—22no—
479C22×C3—21no—
480C22×C3—34no—
481C22×C3—42no—
482C22×C3—44no—
483C22×C3—44no—
484C22×C3—44no—
485C22×C3—68no—
486C22×C3—62no—
487C22×C3—62no—
488C22×C3—64no—
489C22×C3—62no—
490C22×C3—68no—
491C22×C3—64no—
492C22×C3—84no—
493C22×C3—1216no—
494C22×C3—124no—
495C22×C3—244no—
496C22×C3C2×#23914yes—
497C22×C3C2×#23912yes—
498C22×C3C2×C3×#4114yes—
499C22×C3C2×C3×#4112yes—
500C22×C3C24×D311yescharacteristic
501C22×C3C25×C311yescharacteristic
502C2×D3—28no—
503C2×D3—22no—
504C2×D3—22no—
505C2×D3—24no—
506C2×D3—22no—
507C2×D3—28no—
508C2×D3—24no—
509C2×D3—416no—
510C2×D3—44no—
511C2×D3—84no—
512C2×D3C3×H(5,𝔽2)14yes—
513C3×C4—24no—
514C3×C4—28no—
515C3×C4—24no—
516C3×C4—28no—
517C3×C4—44no—
518C3×C4—48no—
519C3×C4—64no—
520C3×C4—64no—
521Dic3—24no—
522Dic3—24no—
523C32#349011yescharacteristic, complemented, Sylow
524C23—32no—
525C23—32no—
526C23—34no—
527C23—42no—
528C23—64no—
529C23—68no—
530C23—62no—
531C23—68no—
532C23—62no—
533C23—64no—
534C23—122no—
535C23—124no—
536C23—124no—
537C23—1216no—
538C23C3×#23914yescomplemented
539C23C23×C3×D312yes—
540C23C23×C3×D311yescharacteristic
541Q8—44no—
542D4—616no—
543D4—68no—
544D4—68no—
545D4—128no—
546D4—124no—
547C2×C4—34no—
548C2×C4—34no—
549C2×C4—42no—
550C2×C4—44no—
551C2×C4—68no—
552C2×C4—64no—
553C2×C4—124no—
554C2×C4—128no—
555C2×C4—122no—
556C2×C4C23×C3×D318yes—
557C2×C4C23×C3×D314yes—
558C2×C3—22no—
559C2×C3—24no—
560C2×C3—22no—
561C2×C3—24no—
562C2×C3—21no—
563C2×C3—22no—
564C2×C3—42no—
565C2×C3—44no—
566C2×C3—64no—
567C2×C3—122no—
568C2×C3—124no—
569C2×C3C22×#23911yescharacteristic
570C2×C3D3×H(5,𝔽2)12yes—
571C2×C3C22×C3×#4111yescharacteristic
572C2×C3C2×C3×H(5,𝔽2)12yes—
573D3—24no—
574D3—42no—
575D3—44no—
576C22—22no—
577C22—24no—
578C22—34no—
579C22—44no—
580C22—68no—
581C22—62no—
582C22—62no—
583C22—64no—
584C22—62no—
585C22—68no—
586C22—64no—
587C22—1216no—
588C22—124no—
589C22—244no—
590C22C2×C3×#23914yes—
591C22C2×C3×#23912yes—
592C22C24×C3×D311yescharacteristic
593C4—24no—
594C4—28no—
595C4—64no—
596C4—64no—
597C3—21no—
598C3#8657911yescharacteristic, direct product factor
599C3C3×#349011yescharacteristic, complemented
600C2—22no—
601C2—24no—
602C2—64no—
603C2—122no—
604C2—124no—
605C2C22×C3×#23911yescharacteristic
606C2C3×D3×H(5,𝔽2)12yes—
subgroupG/H
centerC22×C3C24×D3
commutator, cosocleC22×C3C25×C3
FrattiniC22C24×C3×D3
FittingC32×#543C2
socleC22×C32C25
hypercenterC3×#543D3
hypocenterC3C3×#3490
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C22×C3 ◁ C3×#543

Complements

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

NH ≅ G/Ntype
1. C32×#543C2semidirect
2. C3×#5644C2semidirect
3. C3×#5637C2semidirect
4. C3×#5630C2semidirect
5. C3×#5627C2semidirect
6. C3×#5493C2semidirect
7. C2×C3×#882C2semidirect
8. C3×#5486C2semidirect
9. C2×C3×D3×C22⋊C4C2semidirect
11. #86579C3direct (N × H)
14. C2×C3×#239C22semidirect
15. C22×C3×D12C22semidirect
16. C22×C3×C4×D3C22semidirect
17. C32×C22⋊Q8C22semidirect
18. C32×C22⋊Q8C22semidirect
22. C3×#947C22semidirect
23. C3×#946C22semidirect
24. C3×#930C22semidirect
25. C3×C4×#67C22semidirect
26. C2×C3×(C2×D3)⋊C4C22semidirect
27. C2×C3×(C2×D3)⋊C4C22semidirect
28. C3×#898C22semidirect
29. C3×#895C22semidirect
30. C3×#895C22semidirect
31. C3×#894C22semidirect
32. C3×#894C22semidirect
33. C3×#893C22semidirect
34. C3×#892C22semidirect
35. C3×#886C22semidirect
37. C3×#882C22semidirect
38. C3×#882C22semidirect
39. C3×#882C22semidirect
40. C3×#67⋊C4C22semidirect
41. C3×D3×C22⋊C4C22semidirect
42. C3×D3×C22⋊C4C22semidirect
43. C3×#877C22semidirect
47. C3×#543D3semidirect
48. C3×#543C2×C3semidirect
55. #5644C2×C3semidirect
56. #5637C2×C3semidirect
57. #5630C2×C3semidirect
58. #5627C2×C3semidirect
59. #5493C2×C3semidirect
60. C2×#882C2×C3semidirect
61. #5486C2×C3semidirect
62. C2×D3×C22⋊C4C2×C3semidirect
70. C2×C32×Q8C23semidirect
82. C2×C3×D12C23semidirect
86. C2×C3×C4×D3C23semidirect
87. C32×C4⋊C4C23semidirect
88. C32×C4⋊C4C23semidirect
96. C3×(C2×D3)⋊C4C23semidirect
97. C3×(C2×D3)⋊C4C23semidirect
98. C3×C4⋊Dic3C23semidirect
99. C3×Dic3⋊C4C23semidirect
100. C3×C4×Dic3C23semidirect
109. C2×#239C22×C3semidirect
110. C22×D12C22×C3semidirect
111. C22×C4×D3C22×C3semidirect
120. C3×C22⋊Q8C2×D3semidirect
121. C3×C22⋊Q8C2×D3semidirect
122. C3×C22⋊Q8C22×C3semidirect
123. C3×C22⋊Q8C22×C3semidirect
148. #947C22×C3semidirect
149. #946C22×C3semidirect
150. #930C22×C3semidirect
151. C4×#67C22×C3semidirect
152. C2×(C2×D3)⋊C4C22×C3semidirect
153. C2×(C2×D3)⋊C4C22×C3semidirect
154. #898C22×C3semidirect
155. #895C22×C3semidirect
156. #895C22×C3semidirect
157. #894C22×C3semidirect
158. #894C22×C3semidirect
159. #893C22×C3semidirect
160. #892C22×C3semidirect
161. #886C22×C3semidirect
163. #882C22×C3semidirect
164. #882C22×C3semidirect
165. #882C22×C3semidirect
166. #67⋊C4C22×C3semidirect
167. D3×C22⋊C4C22×C3semidirect
168. D3×C22⋊C4C22×C3semidirect
169. #877C22×C3semidirect
171. C23×C32#41semidirect
206. #543C3×D3semidirect
230. C2×C3×Q8C22×D3semidirect
231. C2×C3×Q8C23×C3semidirect
260. C2×D12C23×C3semidirect
264. C2×C4×D3C23×C3semidirect
269. C3×C4⋊C4C22×D3semidirect
270. C3×C4⋊C4C22×D3semidirect
271. C3×C4⋊C4C23×C3semidirect
272. C3×C4⋊C4C23×C3semidirect
293. (C2×D3)⋊C4C23×C3semidirect
294. (C2×D3)⋊C4C23×C3semidirect
295. C4⋊Dic3C23×C3semidirect
296. Dic3⋊C4C23×C3semidirect
297. C4×Dic3C23×C3semidirect
330. C22⋊Q8C2×C3×D3semidirect
331. C22⋊Q8C2×C3×D3semidirect
370. C23×C3#239semidirect
371. C23×C3C3×#41semidirect
443. C2×Q8C22×C3×D3semidirect
461. C4⋊C4C22×C3×D3semidirect
462. C4⋊C4C22×C3×D3semidirect
523. C32#3490semidirect
538. C23C3×#239semidirect
598. C3#86579direct (N × H)
599. C3C3×#3490semidirect

Maximal subgroups

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

subgroupindex
C32×#5432
C3×#56442
C3×#56372
C3×#56302
C3×#56272
C3×#54932
C2×C3×#8822
C3×#54862
C2×C3×D3×C22⋊C42
C3×#34903
#865793