Finite Group Databasebeta

← #13175334

Subgroups — #13175334

Order 1728.

1532 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11723911C211yesmaximal, characteristic, complemented
2C3×#64085C211yesmaximal, characteristic, complemented
3C32×C4×D12C211yesmaximal, characteristic, complemented
4#11723523C211yesmaximal, characteristic, complemented
5#11723513C211yesmaximal, characteristic, complemented
6#11723506C211yesmaximal, characteristic, complemented
7#11723502C211yesmaximal, characteristic, complemented
8#11723491C211yesmaximal, characteristic, complemented
9#11723480C211yesmaximal, characteristic, complemented
10#11723474C211yesmaximal, characteristic
11#11723473C211yesmaximal, characteristic, complemented
12D3×#3750C211yesmaximal, characteristic, complemented
13#11723430C211yesmaximal, characteristic, complemented
14#11723415C211yesmaximal, characteristic, complemented
15#11723412C211yesmaximal, characteristic, complemented
16#10596035—31nomaximal
17#10593914—34nomaximal
18C2×C32×D12C2211yescharacteristic
19C2×C32×C4×D3C2211yescharacteristic
20C2×C32×C4×D3C2211yescharacteristic
21C2×#6293C2211yescharacteristic
22C2×#6290C2211yescharacteristic
23C2×#6290C2211yescharacteristic
24C2×Dic3×C3⋊D3C2211yescharacteristic
25C2×D3×C3⋊Dic3C2211yescharacteristic
26C2×D3×C3⋊Dic3C2211yescharacteristic
27C33×C42C2211yescharacteristic
28C4⋊(C3⋊(C3⋊Dic3))C2211yescharacteristic
29C4⋊(C3⋊(C3⋊Dic3))C2211yescharacteristic
30#88857C2211yescharacteristic
31#88857C2211yescharacteristic
32#88857C2211yescharacteristic
33#88857C2211yescharacteristic
34C3×#3752C2211yescharacteristic
35C3×#3752C2211yescharacteristic
36C3×#3752C2211yescharacteristic
37C3×#3750C2211yescharacteristic
38C3×#3750C2211yescharacteristic
39C3×#3750C2211yescharacteristic
40C32×(C2×D3)⋊C4C2211yescharacteristic
41C32×(C2×D3)⋊C4C2211yescharacteristic
42C32×C4⋊Dic3C2211yescharacteristic
43#88807C2211yescharacteristic
44#88807C2211yescharacteristic
45#88806C2211yescharacteristic
46Dic3⋊(C3⋊Dic3)C2211yescharacteristic
47#88803C2211yescharacteristic
48(C2×D3)⋊(C3⋊Dic3)C2211yescharacteristic
49(C2×D3)⋊(C3⋊Dic3)C2211yescharacteristic
50(C2×D3)⋊(C3⋊Dic3)C2211yescharacteristic
51(C2×D3)⋊(C3⋊Dic3)C2211yescharacteristic
52Dic3×C3⋊Dic3C2211yescharacteristic
53C32×C4×D4—31no—
54#64148—31no—
55#64144—31no—
56#64138—31no—
57C4×#638—31no—
58#64133—31no—
59C2×#3750—31no—
60#64105—31no—
61#64098—31no—
62#64095—31no—
63#64092—31no—
64#64088—31no—
65#64087—31no—
66#64085D311yescharacteristic, complemented
67#64079—31no—
68#64079—34no—
69#64079—64no—
70C3×#876—34no—
71C3×C4×D12D314yescomplemented
72#63905—34no—
73#63899—34no—
74#63893—34no—
75#63891—34no—
76#63891—34no—
77#63885—34no—
78#63884—34no—
79#63879—34no—
80D3×Dic3⋊C4—34no—
81#63861—34no—
82#63851—34no—
83#63846—34no—
84C22×C3×C3⋊D3C2311yescharacteristic
85C22×C32×D3C2311yescharacteristic
86C22×C32×D3C2311yescharacteristic
87C2×C33×C4C2311yescharacteristic
88C2×C33×C4C2311yescharacteristic
89C2×C33×C4C2311yescharacteristic
90C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
91C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
92C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
93C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
94C2×C3×C3⋊Dic3C2311yescharacteristic
95C2×C3×C3⋊Dic3C2311yescharacteristic
96C2×C3×C3⋊Dic3C2311yescharacteristic
97C2×C32×Dic3C2311yescharacteristic
98C2×C32×Dic3C2311yescharacteristic
99C32×D12—22no—
100C32×C4×D3—41no—
101C32×C4×D3—41no—
102#6293—41no—
103#6290—22no—
104#6290—41no—
105Dic3×C3⋊D3—41no—
106D3×C3⋊Dic3—22no—
107D3×C3⋊Dic3—41no—
108#5707—91no—
109#5564—94no—
110C2×C32×D4—31no—
111C22×C32×C4—31no—
112C22×C32×C4—31no—
113C2×#638—31no—
114C2×#638—31no—
115C22×C3⋊Dic3—31no—
116C22×C3⋊Dic3—31no—
117C2×C4×C3⋊D3—31no—
118C2×#634—31no—
119C2×C3×D12C2×D314yes—
120C2×C3×C4×D3C2×D314yes—
121C2×C3×C4×D3C2×D314yes—
122C2×#627—34no—
123C2×#625—34no—
124C2×#625—34no—
125C2×D3×Dic3—34no—
126C2×D3×Dic3—34no—
127C2×D3×Dic3—34no—
128C32×C4⋊C4—31no—
129C32×C22⋊C4—31no—
130C32×C22⋊C4—31no—
131C32×C42—24no—
132C32×C42C2×D314yes—
133C32×C42C2×D311yescharacteristic
134#3757—31no—
135#3757—31no—
136#3757—31no—
137#3757—31no—
138#3752—31no—
139#3752C2×D311yescharacteristic
140#3752C2×D311yescharacteristic
141#3752C2×D311yescharacteristic
142C4⋊(C3⋊Dic3)—31no—
143C4⋊(C3⋊Dic3)—31no—
144C4⋊(C3⋊Dic3)—34no—
145C4⋊(C3⋊Dic3)—34no—
146C4⋊(C3⋊Dic3)—31no—
147C4⋊(C3⋊Dic3)—64no—
148C4⋊(C3⋊Dic3)—64no—
149#3750—31no—
150#3750—31no—
151#3750—31no—
152#3750—31no—
153#3750—34no—
154#3750—34no—
155#3750—34no—
156#3750—34no—
157#3750—31no—
158#3750—31no—
159#3750—31no—
160#3750—64no—
161#3750—64no—
162#3750—64no—
163#3750—64no—
164#3750C2×D311yescharacteristic
165#3750C2×D311yescharacteristic
166#3750C2×D311yescharacteristic
167C4×C3⋊Dic3—31no—
168C3×(C2×D3)⋊C4—34no—
169C3×(C2×D3)⋊C4—34no—
170C3×(C2×D3)⋊C4—34no—
171C3×(C2×D3)⋊C4C2×D314yes—
172C3×(C2×D3)⋊C4C2×D314yes—
173C3×C4⋊Dic3C2×D314yes—
174C3×Dic3⋊C4—34no—
175C3×Dic3⋊C4—34no—
176C3×Dic3⋊C4—34no—
177#3724—34no—
178Dic3⋊Dic3—34no—
179Dic3⋊Dic3—34no—
180Dic3⋊Dic3—34no—
181(C2×D3)⋊Dic3—34no—
182(C2×D3)⋊Dic3—34no—
183(C2×D3)⋊Dic3—34no—
184(C2×D3)⋊Dic3—34no—
185(C2×D3)⋊Dic3—34no—
186Dic32—34no—
187C22×C33C2411yescharacteristic
188C2×C3×C3⋊D3—21no—
189C2×C3×C3⋊D3—21no—
190C2×C3×C3⋊D3—21no—
191C2×C32×D3—21no—
192C2×C32×D3—21no—
193C2×C32×D3—21no—
194C2×C32×D3—21no—
195C2×C32×D3—21no—
196C2×C32×D3#4112yes—
197C33×C4—21no—
198C33×C4—21no—
199C33×C4—21no—
200C3⋊(C3⋊Dic3)—21no—
201C3⋊(C3⋊Dic3)—21no—
202C3⋊(C3⋊Dic3)—21no—
203C3⋊(C3⋊Dic3)—21no—
204C3×C3⋊Dic3—21no—
205C3×C3⋊Dic3—21no—
206C3×C3⋊Dic3—21no—
207C32×Dic3—21no—
208C32×Dic3—21no—
209C3×#126—91no—
210C3×C4×D4—34no—
211#939—94no—
212#935—94no—
213#929—94no—
214C4×#67—94no—
215#924—94no—
216C2×Dic3⋊C4—94no—
217#898—91no—
218#897—91no—
219#896—94no—
220#896—91no—
221#894—91no—
222D3×C4⋊C4—91no—
223#890—91no—
224#889—94no—
225#886—94no—
226#886—91no—
227#884—91no—
228#883—94no—
229#883—91no—
230#883—91no—
231#67⋊C4—91no—
232#879—94no—
233#878—94no—
234#878—91no—
235#876—34no—
236C4×D12C3⋊D311yescharacteristic, complemented
237#870—94no—
238#870—91no—
239#870—184no—
240C23×C32—31no—
241C23×C32—31no—
242C22×C3⋊D3C22×D311yescharacteristic
243C22×C3×D3—34no—
244C22×C3×D3C22×D314yes—
245C22×C3×D3C22×D314yes—
246C32×D4—62no—
247C2×C32×C4—24no—
248C2×C32×C4—24no—
249C2×C32×C4—24no—
250C2×C32×C4—31no—
251C2×C32×C4—31no—
252C2×C32×C4—121no—
253C2×C32×C4—121no—
254C2×C32×C4C22×D314yes—
255C2×C32×C4C22×D314yes—
256C2×C32×C4C22×D314yes—
257C2×C32×C4C22×D311yescharacteristic
258C2×C32×C4C22×D311yescharacteristic
259C2×C32×C4C22×D311yescharacteristic
260#638—62no—
261#638—121no—
262C2×C3⋊Dic3—31no—
263C2×C3⋊Dic3—31no—
264C2×C3⋊Dic3—31no—
265C2×C3⋊Dic3—31no—
266C2×C3⋊Dic3—34no—
267C2×C3⋊Dic3—34no—
268C2×C3⋊Dic3—34no—
269C2×C3⋊Dic3—34no—
270C2×C3⋊Dic3—64no—
271C2×C3⋊Dic3—64no—
272C2×C3⋊Dic3—64no—
273C2×C3⋊Dic3—64no—
274C2×C3⋊Dic3—62no—
275C2×C3⋊Dic3—121no—
276C2×C3⋊Dic3C22×D311yescharacteristic
277C2×C3⋊Dic3C22×D311yescharacteristic
278C2×C3⋊Dic3C22×D311yescharacteristic
279C4×C3⋊D3—121no—
280#634—121no—
281C2×C3×Dic3—34no—
282C2×C3×Dic3—34no—
283C2×C3×Dic3—34no—
284C2×C3×Dic3C22×D314yes—
285C2×C3×Dic3C22×D314yes—
286C3×D12—28no—
287C3×C4×D3—44no—
288C3×C4×D3—44no—
289#627—124no—
290#625—68no—
291#625—124no—
292D3×Dic3—68no—
293D3×Dic3—124no—
294D3×Dic3—124no—
295#539—271noSylow
296C2×C33C2×#4111yescharacteristic
297C2×C33H(5,𝔽2)11yescharacteristic
298C2×C332−1+411yescharacteristic
299C3×C3⋊D3—41no—
300C32×D3—22no—
301C32×D3—41no—
302C2×C3×D4—34no—
303C22×C3×C4—34no—
304C22×C3×C4—34no—
305C2×#67—94no—
306C2×#67—91no—
307C2×#67—94no—
308C2×#67—91no—
309C22×Dic3—94no—
310C22×Dic3—94no—
311C22×Dic3—91no—
312C2×D12C2×C3⋊D311yescharacteristic
313C2×C4×D3—91no—
314C2×C4×D3—94no—
315C2×C4×D3—91no—
316C2×C4×D3C2×C3⋊D311yescharacteristic
317C2×C4×D3C2×C3⋊D311yescharacteristic
318C2×Dic6—94no—
319C2×Dic6—91no—
320C3×C4⋊C4—34no—
321C3×C4⋊C4—91no—
322C3×C4⋊C4—91no—
323C3×C4⋊C4—91no—
324C3×C22⋊C4—34no—
325C3×C22⋊C4—34no—
326C3×C22⋊C4—91no—
327C3×C22⋊C4—91no—
328C3×C22⋊C4—91no—
329C3×C42—24no—
330C3×C42D3214yes—
331C3×C42C2×C3⋊D311yescharacteristic
332#217—94no—
333#217—94no—
334#217—94no—
335#217—94no—
336#217—91no—
337(C2×D3)⋊C4—34no—
338(C2×D3)⋊C4—34no—
339(C2×D3)⋊C4—34no—
340(C2×D3)⋊C4—94no—
341(C2×D3)⋊C4—91no—
342(C2×D3)⋊C4—91no—
343(C2×D3)⋊C4—91no—
344(C2×D3)⋊C4—91no—
345(C2×D3)⋊C4C2×C3⋊D311yescharacteristic
346(C2×D3)⋊C4C2×C3⋊D311yescharacteristic
347C4⋊Dic3—94no—
348C4⋊Dic3—94no—
349C4⋊Dic3—94no—
350C4⋊Dic3—91no—
351C4⋊Dic3—91no—
352C4⋊Dic3—91no—
353C4⋊Dic3—91no—
354C4⋊Dic3—184no—
355C4⋊Dic3—184no—
356C4⋊Dic3C2×C3⋊D311yescharacteristic
357Dic3⋊C4—34no—
358Dic3⋊C4—34no—
359Dic3⋊C4—34no—
360Dic3⋊C4—94no—
361Dic3⋊C4—94no—
362Dic3⋊C4—94no—
363Dic3⋊C4—94no—
364Dic3⋊C4—94no—
365Dic3⋊C4—94no—
366Dic3⋊C4—94no—
367Dic3⋊C4—91no—
368Dic3⋊C4—91no—
369Dic3⋊C4—91no—
370Dic3⋊C4—91no—
371Dic3⋊C4—91no—
372Dic3⋊C4—91no—
373Dic3⋊C4—184no—
374Dic3⋊C4—184no—
375Dic3⋊C4—184no—
376Dic3⋊C4—184no—
377C4×Dic3—94no—
378C4×Dic3—91no—
379C22×C32—24no—
380C22×C32—32no—
381C22×C32—61no—
382C22×C32—61no—
383C22×C32—61no—
384C22×C32—61no—
385C22×C32—61no—
386C22×C32C23×D314yes—
387C22×C32C23×D311yescharacteristic
388C2×C3⋊D3—21no—
389C2×C3⋊D3—21no—
390C2×C3⋊D3—21no—
391C2×C3×D3—24no—
392C2×C3×D3—24no—
393C2×C3×D3—24no—
394C2×C3×D3—24no—
395C2×C3×D3—24no—
396C2×C3×D3—64no—
397C2×C3×D3—64no—
398C2×C3×D3—64no—
399C2×C3×D3#23518yes—
400C32×C4—28no—
401C32×C4—21no—
402C32×C4—21no—
403C32×C4—24no—
404C32×C4—21no—
405C32×C4—24no—
406C32×C4—24no—
407C32×C4—44no—
408C32×C4—44no—
409C32×C4—61no—
410C32×C4—61no—
411C3⋊Dic3—21no—
412C3⋊Dic3—21no—
413C3⋊Dic3—21no—
414C3⋊Dic3—61no—
415C3⋊Dic3—61no—
416C3⋊Dic3—61no—
417C3⋊Dic3—61no—
418C3⋊Dic3—64no—
419C3⋊Dic3—64no—
420C3⋊Dic3—64no—
421C3⋊Dic3—64no—
422C3⋊Dic3—124no—
423C3⋊Dic3—124no—
424C3⋊Dic3—124no—
425C3⋊Dic3—124no—
426C3×Dic3—24no—
427C3×Dic3—24no—
428C3×Dic3—64no—
429C3×Dic3—64no—
430C3×Dic3—64no—
431#126—91no—
432#126—271no—
433#125—271no—
434#125—271no—
435#123—271no—
436#123—271no—
437#123—271no—
438#123—271no—
439C22⋊Q8—271no—
440C22⋊Q8—271no—
441C22⋊Q8—271no—
442#121—271no—
443C4×D4—31no—
444C4×D4—271no—
445C2×C4⋊C4—271no—
446C33#53911yescharacteristic, complemented, Sylow
447C23×C3—34no—
448C23×C3—34no—
449C23×C3—91no—
450C22×D3—34no—
451C22×D3C22×C3⋊D311yescharacteristic
452C22×D3C22×C3⋊D311yescharacteristic
453C3×D4—68no—
454C2×C3×C4—24no—
455C2×C3×C4—24no—
456C2×C3×C4—24no—
457C2×C3×C4—34no—
458C2×C3×C4—34no—
459C2×C3×C4—91no—
460C2×C3×C4—91no—
461C2×C3×C4—91no—
462C2×C3×C4—124no—
463C2×C3×C4—124no—
464C2×C3×C4C2×D3214yes—
465C2×C3×C4C2×D3214yes—
466C2×C3×C4C2×D3214yes—
467C2×C3×C4C22×C3⋊D311yescharacteristic
468C2×C3×C4C22×C3⋊D311yescharacteristic
469C2×C3×C4C22×C3⋊D311yescharacteristic
470#67—188no—
471#67—182no—
472#67—361no—
473#67—364no—
474C2×Dic3—34no—
475C2×Dic3—34no—
476C2×Dic3—34no—
477C2×Dic3—94no—
478C2×Dic3—94no—
479C2×Dic3—94no—
480C2×Dic3—94no—
481C2×Dic3—91no—
482C2×Dic3—91no—
483C2×Dic3—91no—
484C2×Dic3—91no—
485C2×Dic3—184no—
486C2×Dic3—184no—
487C2×Dic3—184no—
488C2×Dic3—184no—
489C2×Dic3—188no—
490C2×Dic3—361no—
491C2×Dic3—364no—
492C2×Dic3C22×C3⋊D311yescharacteristic
493C2×Dic3C22×C3⋊D311yescharacteristic
494D12—22no—
495C4×D3—41no—
496C4×D3—41no—
497C4×D3—182no—
498C4×D3—364no—
499C4×D3—361no—
500Dic6—361no—
501Dic6—364no—
502C2×C32—24no—
503C2×C32—24no—
504C2×C32—24no—
505C2×C32—62no—
506C2×C32—121no—
507C2×C32C2×#23514yes—
508C2×C32#100414yes—
509C2×C32D3×#4111yescharacteristic
510C2×C32#100911yescharacteristic
511C2×C32#101014yes—
512C2×C32#101011yescharacteristic
513C3⋊D3—41no—
514C3×D3—28no—
515C3×D3—44no—
516C3×D3—124no—
517C2×Q8—271no—
518C2×D4—31no—
519C2×D4—271no—
520C2×D4—271no—
521C22×C4—31no—
522C22×C4—31no—
523C22×C4—271no—
524C22×C4—271no—
525C22×C4—271no—
526C4⋊C4—31no—
527C4⋊C4—91no—
528C4⋊C4—91no—
529C4⋊C4—91no—
530C4⋊C4—271no—
531C4⋊C4—271no—
532C4⋊C4—271no—
533C4⋊C4—271no—
534C4⋊C4—271no—
535C4⋊C4—271no—
536C4⋊C4—271no—
537C4⋊C4—271no—
538C4⋊C4—271no—
539C4⋊C4—271no—
540C22⋊C4—31no—
541C22⋊C4—31no—
542C22⋊C4—91no—
543C22⋊C4—91no—
544C22⋊C4—91no—
545C22⋊C4—271no—
546C22⋊C4—271no—
547C22⋊C4—271no—
548C22⋊C4—271no—
549C22⋊C4—271no—
550C42—271no—
551C42D3×C3⋊D311yescharacteristic
552C22×C3—24no—
553C22×C3—38no—
554C22×C3—64no—
555C22×C3—64no—
556C22×C3—64no—
557C22×C3—64no—
558C22×C3—64no—
559C22×C3—181no—
560C22×C3—181no—
561C22×C3—181no—
562C22×C3C22×D3214yes—
563C22×C3C23×C3⋊D311yescharacteristic
564C2×D3—21no—
565C2×D3—21no—
566C2×D3—21no—
567C2×D3—21no—
568C2×D3—21no—
569C2×D3—64no—
570C2×D3—64no—
571C2×D3—64no—
572C2×D3#382812yes—
573C3×C4—28no—
574C3×C4—24no—
575C3×C4—24no—
576C3×C4—24no—
577C3×C4—21no—
578C3×C4—21no—
579C3×C4—21no—
580C3×C4—44no—
581C3×C4—44no—
582C3×C4—64no—
583C3×C4—64no—
584C3×C4—181no—
585C3×C4—181no—
586C3×C4—181no—
587Dic3—21no—
588Dic3—21no—
589Dic3—64no—
590Dic3—64no—
591Dic3—64no—
592Dic3—184no—
593Dic3—184no—
594Dic3—184no—
595Dic3—184no—
596Dic3—181no—
597Dic3—181no—
598Dic3—181no—
599Dic3—181no—
600Dic3—364no—
601Dic3—364no—
602Dic3—364no—
603Dic3—364no—
604C32—24no—
605C32#556414yescomplemented
606C32#570711yescharacteristic, complemented
607C23—31no—
608C23—31no—
609C23—91no—
610Q8—1081no—
611D4—62no—
612D4—542no—
613D4—1081no—
614C2×C4—31no—
615C2×C4—31no—
616C2×C4—91no—
617C2×C4—91no—
618C2×C4—91no—
619C2×C4—121no—
620C2×C4—121no—
621C2×C4—271no—
622C2×C4—271no—
623C2×C4—271no—
624C2×C4—271no—
625C2×C4—542no—
626C2×C4—1081no—
627C2×C4—1081no—
628C2×C4C2×D3×C3⋊D311yescharacteristic
629C2×C4C2×D3×C3⋊D311yescharacteristic
630C2×C4C2×D3×C3⋊D311yescharacteristic
631C2×C3—24no—
632C2×C3—24no—
633C2×C3—24no—
634C2×C3—68no—
635C2×C3—124no—
636C2×C3—361no—
637C2×C3#6429814yes—
638C2×C3D3×#23514yes—
639C2×C3#6430714yes—
640C2×C3C2×#382811yescharacteristic
641C2×C3#6436111yescharacteristic
642C2×C3#6436711yescharacteristic
643D3—22no—
644D3—41no—
645D3—124no—
646C22—32no—
647C22—61no—
648C22—61no—
649C22—61no—
650C22—61no—
651C22—61no—
652C22—181no—
653C22—181no—
654C22—181no—
655C22C22×D3×C3⋊D311yescharacteristic
656C4—21no—
657C4—21no—
658C4—21no—
659C4—61no—
660C4—61no—
661C4—181no—
662C4—181no—
663C4—181no—
664C4—541no—
665C4—541no—
666C4—541no—
667C4—541no—
668C3—24no—
669C3#1059391414yescomplemented
670C3#1059603511yescharacteristic, complemented
671C2—62no—
672C2—121no—
673C2—361no—
674C2#1172456311yescharacteristic
675C2D3×#382811yescharacteristic
676C2#1172457911yescharacteristic
subgroupG/H
center, FrattiniC22C22×D3×C3⋊D3
commutator, socle, cosocleC22×C33C24
FittingC33×C42C22
prime radical#11723474C2
hypercenterC42D3×C3⋊D3
hypocenterC33#539
LCSG ▷ C22×C33 ▷ C33
UCSC1 ◁ C22 ◁ C42

Complements

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

NH ≅ G/Ntype
1. #11723911C2semidirect
2. C3×#64085C2semidirect
3. C32×C4×D12C2semidirect
4. #11723523C2semidirect
5. #11723513C2semidirect
6. #11723506C2semidirect
7. #11723502C2semidirect
8. #11723491C2semidirect
9. #11723480C2semidirect
11. #11723473C2semidirect
12. D3×#3750C2semidirect
13. #11723430C2semidirect
14. #11723415C2semidirect
15. #11723412C2semidirect
66. #64085D3semidirect
71. C3×C4×D12D3semidirect
236. C4×D12C3⋊D3semidirect
446. C33#539semidirect
605. C32#5564semidirect
606. C32#5707semidirect
669. C3#10593914semidirect
670. C3#10596035semidirect

Maximal subgroups

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

subgroupindex
#117239112
C3×#640852
C32×C4×D122
#117235232
#117235132
#117235062
#117235022
#117234912
#117234802
#117234742
#117234732
D3×#37502
#117234302
#117234152
#117234122
#105960353
#105939143