Finite Group Databasebeta

← C3×#86309 #11904849

Subgroups — C3×#86309 #11904849

Order 1152.

2829 conjugacy classes of subgroups.

The subgroup lattice has 620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C32×#534C211yesmaximal, characteristic, complemented
2C2×C3×#937C212yesmaximal, complemented
3C3×#5798C212yesmaximal, complemented
4C3×#5658C218yesmaximal, complemented
5C3×#5617C214yesmaximal, complemented
6C3×#5606C214yesmaximal, complemented
7C3×#5591C218yesmaximal, complemented
8C2×C3×D3×C22⋊C4C211yesmaximal, characteristic, complemented
9C3×#5483C211yesmaximal, characteristic, complemented
10C3×#3490—31nomaximal
11#86309C311yesmaximal, characteristic, direct product factor
12C24×C3×D3C2211yescharacteristic
13C22×C32×D4C2212yes—
14C22×C3×#67C2214yescomplemented
15C2×C3×#237C2214yescomplemented
16C22×C3×C4×D3C2212yescomplemented
17C32×#123C2214yescomplemented
18C32×#121C2214yescomplemented
19C32×#120C2214yescomplemented
20C2×C32×C22⋊C4C2211yescharacteristic
21C2×C3×#217C2211yescharacteristic
22C2×C3×#217C2212yes—
23C2×C3×#217C2214yescomplemented
24C3×#939C2218yescomplemented
25C3×#938C2214yescomplemented
26C3×#937C2218yes—
27C3×#937C2214yescomplemented
28C3×#937C2214yescomplemented
29C3×D4×Dic3C2218yescomplemented
30C3×D4×Dic3C2218yescomplemented
31C2×C3×(C2×D3)⋊C4C2214yescomplemented
32C2×C3×(C2×D3)⋊C4C2212yescomplemented
33C3×#926C2214yescomplemented
34C3×#924C2214yescomplemented
35C3×#898C2218yescomplemented
36C3×#897C2214yescomplemented
37C3×#892C2214yescomplemented
38C3×#886C2218yescomplemented
39C3×#885C2218yescomplemented
40C3×#883C2218yescomplemented
41C3×#67⋊C4C2218yescomplemented
42C3×D3×C22⋊C4C2218yescomplemented
43C3×#878C2218yescomplemented
44C3×#551—38no—
45C3×#546—38no—
46C3×#543—31no—
47C3×#538—34no—
48C3×#534—21no—
49C3×#534D311yescharacteristic, complemented
50C3×#534C2×C311yescharacteristic, complemented
51C3×#525—34no—
52C2×C3×#120—32no—
53C3×#518—32no—
54C22×C3×C22⋊C4—31no—
55C2×#937C2×C312yescomplemented
56#5798C2×C312yescomplemented
57#5658C2×C318yescomplemented
58#5617C2×C314yescomplemented
59#5606C2×C314yescomplemented
60#5591C2×C318yescomplemented
61C2×D3×C22⋊C4C2×C311yescharacteristic, complemented
62#5483C2×C311yescharacteristic, complemented
63C24×C32C2312yes—
64C24×C32C2311yescharacteristic
65C23×C3×D3—24no—
66C23×C3×D3—44no—
67C23×C3×D3C2311yescharacteristic
68C23×C3×D3C2314yes—
69C23×C3×D3C2311yescharacteristic
70C2×C32×D4—28no—
71C2×C32×D4C2314yes—
72C2×C32×D4C2314yes—
73C2×C32×D4C2314yescomplemented
74C22×C32×C4C2312yes—
75C22×C32×C4C2312yes—
76C2×C3×#67—48no—
77C2×C3×#67C2318yes—
78C2×C3×#67C2318yes—
79C22×C3×Dic3C2314yes—
80C22×C3×Dic3C2312yes—
81C22×C3×Dic3C2318yescomplemented
82C3×#237—48no—
83C2×C3×C4×D3—44no—
84C2×C3×C4×D3C2314yes—
85C2×C3×C4×D3C2314yes—
86C2×C3×Dic6C2314yescomplemented
87C32×C4⋊C4C2314yescomplemented
88C32×C22⋊C4C2314yes—
89C32×C22⋊C4C2318yescomplemented
90C3×#217C2314yes—
91C3×#217C2314yes—
92C3×#217C2314yes—
93C3×#217C2318yescomplemented
94C3×(C2×D3)⋊C4C2318yes—
95C3×(C2×D3)⋊C4C2318yes—
96C3×(C2×D3)⋊C4C2318yes—
97C3×C4⋊Dic3C2314yescomplemented
98C3×C4⋊Dic3C2318yescomplemented
99C3×Dic3⋊C4C2318yescomplemented
100C3×C4×Dic3C2318yescomplemented
101#3490—31noSylow
102C25×C3—31no—
103C24×D3C22×C311yescharacteristic
104C2×C3×#41—34no—
105C22×C3×D4—22no—
106C22×C3×D4—34no—
107C22×C3×D4C2×D312yes—
108C22×C3×D4C22×C312yes—
109C23×C3×C4—32no—
110C22×#67C22×C314yescomplemented
111C2×#237C22×C314yescomplemented
112C22×C4×D3C22×C312yescomplemented
113C3×#126—38no—
114C3×#124—38no—
115C3×#123—24no—
116C3×#123—38no—
117C3×#123—38no—
118C3×#123C2×D314yescomplemented
119C3×#123C22×C314yescomplemented
120C3×C22⋊Q8—34no—
121C3×C22⋊Q8—34no—
122C3×C22⋊Q8—38no—
123C3×#121—24no—
124C3×#121—34no—
125C3×#121—38no—
126C3×#121C2×D314yescomplemented
127C3×#121C22×C314yescomplemented
128C3×#120—24no—
129C3×#120—38no—
130C3×#120—34no—
131C3×#120—34no—
132C3×#120C2×D314yescomplemented
133C3×#120C22×C314yescomplemented
134C3×C4×D4—38no—
135C3×C4×D4—38no—
136C3×C4×D4—38no—
137C3×#117—34no—
138C3×#117—34no—
139C2×C3×C22⋊C4—21no—
140C2×C3×C22⋊C4—31no—
141C2×C3×C22⋊C4—32no—
142C2×C3×C22⋊C4—34no—
143C2×C3×C22⋊C4—32no—
144C2×C3×C22⋊C4—34no—
145C2×C3×C22⋊C4—38no—
146C2×C3×C22⋊C4C2×D311yescharacteristic
147C2×C3×C22⋊C4C22×C311yescharacteristic
148C2×#217C22×C312yes—
149C2×#217C22×C311yescharacteristic
150C2×#217C22×C314yescomplemented
151#939C22×C318yescomplemented
152#938C22×C314yescomplemented
153#937C22×C318yes—
154#937C22×C314yescomplemented
155#937C22×C314yescomplemented
156D4×Dic3C22×C318yescomplemented
157D4×Dic3C22×C318yescomplemented
158C2×(C2×D3)⋊C4C22×C314yescomplemented
159C2×(C2×D3)⋊C4C22×C312yescomplemented
160#926C22×C314yescomplemented
161#924C22×C314yescomplemented
162#898C22×C318yescomplemented
163#897C22×C314yescomplemented
164#892C22×C314yescomplemented
165#886C22×C318yescomplemented
166#885C22×C318yescomplemented
167#883C22×C318yescomplemented
168#67⋊C4C22×C318yescomplemented
169D3×C22⋊C4C22×C318yescomplemented
170#878C22×C318yescomplemented
171C23×C32—24no—
172C23×C32—42no—
173C23×C32—44no—
174C23×C32#4114yescomplemented
175C23×C32C2414yes—
176C23×C32C2412yes—
177C23×C32C2411yescharacteristic
178C22×C3×D3—22no—
179C22×C3×D3—24no—
180C22×C3×D3—28no—
181C22×C3×D3—22no—
182C22×C3×D3—28no—
183C22×C3×D3—44no—
184C22×C3×D3—42no—
185C22×C3×D3—416no—
186C22×C3×D3C2412yes—
187C22×C3×D3C2412yes—
188C32×D4—28no—
189C32×D4—28no—
190C32×D4—44no—
191C2×C32×C4—24no—
192C2×C32×C4—42no—
193C2×C32×C4C2414yes—
194C2×C32×C4C2414yes—
195C3×#67—216no—
196C3×#67—48no—
197C2×C3×Dic3—42no—
198C2×C3×Dic3—48no—
199C2×C3×Dic3—44no—
200C2×C3×Dic3C2414yes—
201C2×C3×Dic3C2418yes—
202C3×C4×D3—28no—
203C3×C4×D3—44no—
204C3×Dic6—44no—
205#551—38no—
206#546—38no—
207#543—31no—
208#538—34no—
209#534C3×D311yescharacteristic, complemented
210#525—34no—
211C2×#120—32no—
212#518—32no—
213C22×C22⋊C4—31no—
214C24×C3—21no—
215C24×C3—22no—
216C24×C3—31no—
217C24×C3—34no—
218C24×C3—31no—
219C24×C3—64no—
220C24×C3—124no—
221C24×C3C22×D312yes—
222C24×C3C22×D311yescharacteristic
223C24×C3C23×C312yes—
224C24×C3C23×C311yescharacteristic
225C23×D3—24no—
226C23×D3—44no—
227C23×D3C23×C311yescharacteristic
228C23×D3C23×C314yes—
229C23×D3C23×C311yescharacteristic
230C3×#41—128no—
231C2×C3×Q8—34no—
232C2×C3×D4—28no—
233C2×C3×D4—28no—
234C2×C3×D4—24no—
235C2×C3×D4—24no—
236C2×C3×D4—24no—
237C2×C3×D4—38no—
238C2×C3×D4—38no—
239C2×C3×D4—48no—
240C2×C3×D4—128no—
241C2×C3×D4C22×D314yes—
242C2×C3×D4C22×D314yes—
243C2×C3×D4C22×D314yescomplemented
244C2×C3×D4C23×C314yes—
245C2×C3×D4C23×C314yes—
246C2×C3×D4C23×C314yescomplemented
247C22×C3×C4—22no—
248C22×C3×C4—22no—
249C22×C3×C4—32no—
250C22×C3×C4—34no—
251C22×C3×C4—38no—
252C22×C3×C4—34no—
253C22×C3×C4—34no—
254C22×C3×C4—124no—
255C22×C3×C4C22×D312yes—
256C22×C3×C4C22×D312yes—
257C22×C3×C4C23×C312yes—
258C22×C3×C4C23×C312yes—
259C2×#67—48no—
260C2×#67C23×C318yes—
261C2×#67C23×C318yes—
262C22×Dic3C23×C314yes—
263C22×Dic3C23×C312yes—
264C22×Dic3C23×C318yescomplemented
265#237—48no—
266C2×C4×D3—44no—
267C2×C4×D3C23×C314yes—
268C2×C4×D3C23×C314yes—
269C2×Dic6C23×C314yescomplemented
270C3×C4⋊C4—24no—
271C3×C4⋊C4—38no—
272C3×C4⋊C4—38no—
273C3×C4⋊C4—34no—
274C3×C4⋊C4C22×D314yescomplemented
275C3×C4⋊C4C23×C314yescomplemented
276C3×C22⋊C4—24no—
277C3×C22⋊C4—28no—
278C3×C22⋊C4—34no—
279C3×C22⋊C4—34no—
280C3×C22⋊C4—34no—
281C3×C22⋊C4—38no—
282C3×C22⋊C4—38no—
283C3×C22⋊C4—38no—
284C3×C22⋊C4—38no—
285C3×C22⋊C4C22×D314yes—
286C3×C22⋊C4C22×D318yescomplemented
287C3×C22⋊C4C23×C314yes—
288C3×C22⋊C4C23×C318yescomplemented
289C3×C42—38no—
290#217C23×C314yes—
291#217C23×C314yes—
292#217C23×C314yes—
293#217C23×C318yescomplemented
294(C2×D3)⋊C4C23×C318yes—
295(C2×D3)⋊C4C23×C318yes—
296(C2×D3)⋊C4C23×C318yes—
297C4⋊Dic3C23×C314yescomplemented
298C4⋊Dic3C23×C318yescomplemented
299Dic3⋊C4C23×C318yescomplemented
300C4×Dic3C23×C318yescomplemented
301C22×C32—22no—
302C22×C32—24no—
303C22×C32—24no—
304C22×C32—28no—
305C22×C32—44no—
306C22×C32—84no—
307C22×C32C2×#4114yes—
308C22×C32C2×#4112yes—
309C22×C32C2511yescharacteristic
310C2×C3×D3—28no—
311C2×C3×D3—22no—
312C2×C3×D3—22no—
313C2×C3×D3—22no—
314C2×C3×D3—24no—
315C2×C3×D3—416no—
316C2×C3×D3—44no—
317C2×C3×D3H(5,𝔽2)14yes—
318C32×C4—24no—
319C32×C4—24no—
320C3×Dic3—28no—
321C3×Dic3—24no—
322C25—31no—
323C2×#41—34no—
324C22×D4—34no—
325C22×D4C2×C3×D312yes—
326C23×C4—32no—
327#126—38no—
328#124—38no—
329#123—38no—
330#123—38no—
331#123C2×C3×D314yescomplemented
332C22⋊Q8—34no—
333C22⋊Q8—34no—
334C22⋊Q8—38no—
335#121—34no—
336#121—38no—
337#121C2×C3×D314yescomplemented
338#120—34no—
339#120—34no—
340#120—38no—
341#120C2×C3×D314yescomplemented
342C4×D4—38no—
343C4×D4—38no—
344C4×D4—38no—
345#117—34no—
346#117—34no—
347C2×C22⋊C4—31no—
348C2×C22⋊C4—32no—
349C2×C22⋊C4—34no—
350C2×C22⋊C4—32no—
351C2×C22⋊C4—34no—
352C2×C22⋊C4—38no—
353C2×C22⋊C4C2×C3×D311yescharacteristic
354C23×C3—24no—
355C23×C3—24no—
356C23×C3—22no—
357C23×C3—21no—
358C23×C3—24no—
359C23×C3—24no—
360C23×C3—32no—
361C23×C3—32no—
362C23×C3—44no—
363C23×C3—42no—
364C23×C3—42no—
365C23×C3—44no—
366C23×C3—44no—
367C23×C3—64no—
368C23×C3—68no—
369C23×C3—62no—
370C23×C3—68no—
371C23×C3—62no—
372C23×C3—82no—
373C23×C3—84no—
374C23×C3—122no—
375C23×C3—124no—
376C23×C3—1216no—
377C23×C3#23714yescomplemented
378C23×C3C3×#4114yescomplemented
379C23×C3C23×D314yes—
380C23×C3C23×D312yes—
381C23×C3C23×D311yescharacteristic
382C23×C3C24×C314yes—
383C23×C3C24×C312yes—
384C23×C3C24×C311yescharacteristic
385C22×D3—22no—
386C22×D3—24no—
387C22×D3—28no—
388C22×D3—22no—
389C22×D3—28no—
390C22×D3—44no—
391C22×D3—42no—
392C22×D3—416no—
393C22×D3C24×C312yes—
394C22×D3C24×C312yes—
395C3×Q8—124no—
396C3×D4—28no—
397C3×D4—28no—
398C3×D4—28no—
399C3×D4—28no—
400C3×D4—48no—
401C3×D4—48no—
402C3×D4—44no—
403C3×D4—44no—
404C3×D4—616no—
405C3×D4—84no—
406C3×D4—128no—
407C2×C3×C4—24no—
408C2×C3×C4—24no—
409C2×C3×C4—24no—
410C2×C3×C4—24no—
411C2×C3×C4—34no—
412C2×C3×C4—38no—
413C2×C3×C4—44no—
414C2×C3×C4—42no—
415C2×C3×C4—42no—
416C2×C3×C4—68no—
417C2×C3×C4—82no—
418C2×C3×C4—124no—
419C2×C3×C4—122no—
420C2×C3×C4—124no—
421C2×C3×C4—128no—
422C2×C3×C4C23×D314yes—
423C2×C3×C4C23×D314yes—
424C2×C3×C4C24×C314yes—
425C2×C3×C4C24×C314yes—
426#67—216no—
427#67—48no—
428C2×Dic3—42no—
429C2×Dic3—48no—
430C2×Dic3—44no—
431C2×Dic3C24×C314yes—
432C2×Dic3C24×C318yes—
433C4×D3—28no—
434C4×D3—44no—
435Dic6—44no—
436C2×C32—22no—
437C2×C32—24no—
438C2×C32—44no—
439C2×C32C22×#4111yescharacteristic
440C2×C32C2×H(5,𝔽2)12yes—
441C3×D3—24no—
442C3×D3—42no—
443C24—31no—
444C24—34no—
445C24—31no—
446C24—64no—
447C24—124no—
448C24C22×C3×D312yes—
449C24C22×C3×D311yescharacteristic
450#41—128no—
451C2×Q8—34no—
452C2×D4—28no—
453C2×D4—38no—
454C2×D4—38no—
455C2×D4—128no—
456C2×D4C22×C3×D314yes—
457C2×D4C22×C3×D314yes—
458C2×D4C22×C3×D314yescomplemented
459C22×C4—32no—
460C22×C4—34no—
461C22×C4—38no—
462C22×C4—34no—
463C22×C4—34no—
464C22×C4—124no—
465C22×C4C22×C3×D312yes—
466C22×C4C22×C3×D312yes—
467C4⋊C4—38no—
468C4⋊C4—34no—
469C4⋊C4—38no—
470C4⋊C4C22×C3×D314yescomplemented
471C22⋊C4—34no—
472C22⋊C4—34no—
473C22⋊C4—34no—
474C22⋊C4—38no—
475C22⋊C4—38no—
476C22⋊C4—38no—
477C22⋊C4—38no—
478C22⋊C4C22×C3×D314yes—
479C22⋊C4C22×C3×D318yescomplemented
480C42—38no—
481C22×C3—22no—
482C22×C3—24no—
483C22×C3—22no—
484C22×C3—24no—
485C22×C3—24no—
486C22×C3—28no—
487C22×C3—24no—
488C22×C3—28no—
489C22×C3—24no—
490C22×C3—22no—
491C22×C3—21no—
492C22×C3—34no—
493C22×C3—42no—
494C22×C3—44no—
495C22×C3—44no—
496C22×C3—48no—
497C22×C3—44no—
498C22×C3—44no—
499C22×C3—68no—
500C22×C3—62no—
501C22×C3—62no—
502C22×C3—62no—
503C22×C3—64no—
504C22×C3—84no—
505C22×C3—84no—
506C22×C3—84no—
507C22×C3—88no—
508C22×C3—1216no—
509C22×C3—124no—
510C22×C3C2×#23714yes—
511C22×C3C2×#23712yes—
512C22×C3C2×C3×#4114yes—
513C22×C3C2×C3×#4112yes—
514C22×C3C24×D311yescharacteristic
515C22×C3C25×C311yescharacteristic
516C2×D3—28no—
517C2×D3—22no—
518C2×D3—22no—
519C2×D3—22no—
520C2×D3—24no—
521C2×D3—416no—
522C2×D3—44no—
523C2×D3C3×H(5,𝔽2)14yes—
524C3×C4—24no—
525C3×C4—24no—
526C3×C4—24no—
527C3×C4—24no—
528C3×C4—44no—
529C3×C4—44no—
530C3×C4—64no—
531C3×C4—68no—
532Dic3—28no—
533Dic3—24no—
534C32#349011yescharacteristic, complemented, Sylow
535C23—24no—
536C23—32no—
537C23—32no—
538C23—42no—
539C23—44no—
540C23—64no—
541C23—68no—
542C23—62no—
543C23—68no—
544C23—62no—
545C23—122no—
546C23—124no—
547C23—1216no—
548C23C3×#23714yescomplemented
549C23C23×C3×D314yes—
550C23C23×C3×D312yes—
551C23C23×C3×D311yescharacteristic
552Q8—124no—
553D4—28no—
554D4—28no—
555D4—44no—
556D4—616no—
557D4—128no—
558C2×C4—24no—
559C2×C4—34no—
560C2×C4—38no—
561C2×C4—42no—
562C2×C4—68no—
563C2×C4—124no—
564C2×C4—122no—
565C2×C4—124no—
566C2×C4—128no—
567C2×C4C23×C3×D314yes—
568C2×C4C23×C3×D314yes—
569C2×C3—22no—
570C2×C3—24no—
571C2×C3—22no—
572C2×C3—24no—
573C2×C3—21no—
574C2×C3—22no—
575C2×C3—44no—
576C2×C3—42no—
577C2×C3—44no—
578C2×C3—44no—
579C2×C3—64no—
580C2×C3—84no—
581C2×C3—122no—
582C2×C3C22×#23711yescharacteristic
583C2×C3D3×H(5,𝔽2)12yes—
584C2×C3C22×C3×#4111yescharacteristic
585C2×C3C2×C3×H(5,𝔽2)12yes—
586D3—24no—
587D3—42no—
588C22—22no—
589C22—24no—
590C22—24no—
591C22—28no—
592C22—34no—
593C22—44no—
594C22—68no—
595C22—62no—
596C22—62no—
597C22—62no—
598C22—64no—
599C22—84no—
600C22—1216no—
601C22—124no—
602C22C2×C3×#23714yes—
603C22C2×C3×#23712yes—
604C22C24×C3×D311yescharacteristic
605C4—24no—
606C4—24no—
607C4—64no—
608C4—68no—
609C3—21no—
610C3#8630911yescharacteristic, direct product factor
611C3C3×#349011yescharacteristic, complemented
612C2—22no—
613C2—24no—
614C2—44no—
615C2—64no—
616C2—122no—
617C2C22×C3×#23711yescharacteristic
618C2C3×D3×H(5,𝔽2)12yes—
subgroupG/H
centerC22×C3C24×D3
commutator, cosocleC22×C3C25×C3
FrattiniC22C24×C3×D3
FittingC32×#534C2
socleC22×C32C25
hypercenterC3×#534D3
hypocenterC3C3×#3490
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C22×C3 ◁ C3×#534

Complements

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

NH ≅ G/Ntype
1. C32×#534C2semidirect
2. C2×C3×#937C2semidirect
3. C3×#5798C2semidirect
4. C3×#5658C2semidirect
5. C3×#5617C2semidirect
6. C3×#5606C2semidirect
7. C3×#5591C2semidirect
8. C2×C3×D3×C22⋊C4C2semidirect
9. C3×#5483C2semidirect
11. #86309C3direct (N × H)
14. C22×C3×#67C22semidirect
15. C2×C3×#237C22semidirect
16. C22×C3×C4×D3C22semidirect
17. C32×#123C22semidirect
18. C32×#121C22semidirect
19. C32×#120C22semidirect
23. C2×C3×#217C22semidirect
24. C3×#939C22semidirect
25. C3×#938C22semidirect
27. C3×#937C22semidirect
28. C3×#937C22semidirect
29. C3×D4×Dic3C22semidirect
30. C3×D4×Dic3C22semidirect
31. C2×C3×(C2×D3)⋊C4C22semidirect
32. C2×C3×(C2×D3)⋊C4C22semidirect
33. C3×#926C22semidirect
34. C3×#924C22semidirect
35. C3×#898C22semidirect
36. C3×#897C22semidirect
37. C3×#892C22semidirect
38. C3×#886C22semidirect
39. C3×#885C22semidirect
40. C3×#883C22semidirect
41. C3×#67⋊C4C22semidirect
42. C3×D3×C22⋊C4C22semidirect
43. C3×#878C22semidirect
49. C3×#534D3semidirect
50. C3×#534C2×C3semidirect
55. C2×#937C2×C3semidirect
56. #5798C2×C3semidirect
57. #5658C2×C3semidirect
58. #5617C2×C3semidirect
59. #5606C2×C3semidirect
60. #5591C2×C3semidirect
61. C2×D3×C22⋊C4C2×C3semidirect
62. #5483C2×C3semidirect
73. C2×C32×D4C23semidirect
81. C22×C3×Dic3C23semidirect
86. C2×C3×Dic6C23semidirect
87. C32×C4⋊C4C23semidirect
89. C32×C22⋊C4C23semidirect
93. C3×#217C23semidirect
97. C3×C4⋊Dic3C23semidirect
98. C3×C4⋊Dic3C23semidirect
99. C3×Dic3⋊C4C23semidirect
100. C3×C4×Dic3C23semidirect
110. C22×#67C22×C3semidirect
111. C2×#237C22×C3semidirect
112. C22×C4×D3C22×C3semidirect
118. C3×#123C2×D3semidirect
119. C3×#123C22×C3semidirect
126. C3×#121C2×D3semidirect
127. C3×#121C22×C3semidirect
132. C3×#120C2×D3semidirect
133. C3×#120C22×C3semidirect
150. C2×#217C22×C3semidirect
151. #939C22×C3semidirect
152. #938C22×C3semidirect
154. #937C22×C3semidirect
155. #937C22×C3semidirect
156. D4×Dic3C22×C3semidirect
157. D4×Dic3C22×C3semidirect
158. C2×(C2×D3)⋊C4C22×C3semidirect
159. C2×(C2×D3)⋊C4C22×C3semidirect
160. #926C22×C3semidirect
161. #924C22×C3semidirect
162. #898C22×C3semidirect
163. #897C22×C3semidirect
164. #892C22×C3semidirect
165. #886C22×C3semidirect
166. #885C22×C3semidirect
167. #883C22×C3semidirect
168. #67⋊C4C22×C3semidirect
169. D3×C22⋊C4C22×C3semidirect
170. #878C22×C3semidirect
174. C23×C32#41semidirect
209. #534C3×D3semidirect
243. C2×C3×D4C22×D3semidirect
246. C2×C3×D4C23×C3semidirect
264. C22×Dic3C23×C3semidirect
269. C2×Dic6C23×C3semidirect
274. C3×C4⋊C4C22×D3semidirect
275. C3×C4⋊C4C23×C3semidirect
286. C3×C22⋊C4C22×D3semidirect
288. C3×C22⋊C4C23×C3semidirect
293. #217C23×C3semidirect
297. C4⋊Dic3C23×C3semidirect
298. C4⋊Dic3C23×C3semidirect
299. Dic3⋊C4C23×C3semidirect
300. C4×Dic3C23×C3semidirect
331. #123C2×C3×D3semidirect
337. #121C2×C3×D3semidirect
341. #120C2×C3×D3semidirect
377. C23×C3#237semidirect
378. C23×C3C3×#41semidirect
458. C2×D4C22×C3×D3semidirect
470. C4⋊C4C22×C3×D3semidirect
479. C22⋊C4C22×C3×D3semidirect
534. C32#3490semidirect
548. C23C3×#237semidirect
610. C3#86309direct (N × H)
611. C3C3×#3490semidirect

Maximal subgroups

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

subgroupindex
C32×#5342
C2×C3×#9372
C3×#57982
C3×#56582
C3×#56172
C3×#56062
C3×#55912
C2×C3×D3×C22⋊C42
C3×#54832
C3×#34903
#863093