Finite Group Databasebeta

← #13175201

Subgroups — #13175201

Order 1728.

1684 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×#6308C211yesmaximal, characteristic, complemented
2C3×C4×C4⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
3C32×#872C211yesmaximal, characteristic, complemented
4#11723528C211yesmaximal, characteristic, complemented
5#11723523C211yesmaximal, characteristic, complemented
6#11723519C211yesmaximal, characteristic
7C4×#6290C211yesmaximal, characteristic, complemented
8C4×#6290C211yesmaximal, characteristic, complemented
9#11723497C211yesmaximal, characteristic, complemented
10#11723488C211yesmaximal, characteristic, complemented
11C4×Dic3×C3⋊D3C211yesmaximal, characteristic, complemented
12#11723437C211yesmaximal, characteristic, complemented
13#11723427C211yesmaximal, characteristic, complemented
14#11723408C211yesmaximal, characteristic, complemented
15#11723402C211yesmaximal, characteristic, complemented
16#10595999—31nomaximal
17#10593910—34nomaximal
18C2×#6308C2211yescharacteristic
19C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
20C2×C3×C4×C3⋊D3C2211yescharacteristic
21C2×C3×C4×C3⋊D3C2211yescharacteristic
22C2×C32×C4×D3C2211yescharacteristic
23C2×#6290C2211yescharacteristic
24C2×#6290C2211yescharacteristic
25C2×Dic3×C3⋊D3C2211yescharacteristic
26C2×Dic3×C3⋊D3C2211yescharacteristic
27C33×C42C2211yescharacteristic
28C4⋊(C3⋊(C3⋊Dic3))C2211yescharacteristic
29#88857C2211yescharacteristic
30#88857C2211yescharacteristic
31C4×C3⋊(C3⋊Dic3)C2211yescharacteristic
32C4×C3⋊(C3⋊Dic3)C2211yescharacteristic
33C3×#3752C2211yescharacteristic
34C3×#3752C2211yescharacteristic
35C3×C4⋊(C3⋊Dic3)C2211yescharacteristic
36C32×(C2×D3)⋊C4C2211yescharacteristic
37C32×(C2×D3)⋊C4C2211yescharacteristic
38C32×Dic3⋊C4C2211yescharacteristic
39C32×Dic3⋊C4C2211yescharacteristic
40C32×C4×Dic3C2211yescharacteristic
41#88807C2211yescharacteristic
42#88807C2211yescharacteristic
43#88806C2211yescharacteristic
44#88806C2211yescharacteristic
45#88803C2211yescharacteristic
46#88803C2211yescharacteristic
47#88803C2211yescharacteristic
48#88803C2211yescharacteristic
49(C2×D3)⋊(C3⋊Dic3)C2211yescharacteristic
50(C2×D3)⋊(C3⋊Dic3)C2211yescharacteristic
51Dic3×C3⋊Dic3C2211yescharacteristic
52Dic3×C3⋊Dic3C2211yescharacteristic
53C32×#117—31no—
54C4×#638—31no—
55C4×#638—31no—
56#64107—31no—
57#64105—31no—
58#64103—31no—
59#64098—31no—
60#64094—31no—
61#64093—31no—
62#64092—31no—
63#64088—31no—
64C4×C4⋊(C3⋊D3)D311yescharacteristic, complemented
65#64081—31no—
66C42×C3⋊D3—31no—
67C4×#634—31no—
68C4×#634—34no—
69C4×#634—64no—
70C3×C4×D12—34no—
71C3×#872D314yescomplemented
72#63913—34no—
73C4×#625—34no—
74C4×#625—34no—
75#63896—34no—
76#63891—34no—
77#63885—34no—
78#63884—34no—
79C4×D3×Dic3—34no—
80#63861—34no—
81#63858—34no—
82#63855—34no—
83#63847—34no—
84C22×C3×C3⋊D3C2311yescharacteristic
85C22×C3×C3⋊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
94#6308—22no—
95C2×C3×C3⋊Dic3C2311yescharacteristic
96C2×C3×C3⋊Dic3C2311yescharacteristic
97C3×C4⋊(C3⋊D3)—22no—
98C3×C4×C3⋊D3—22no—
99C3×C4×C3⋊D3—22no—
100C2×C32×Dic3C2311yescharacteristic
101C2×C32×Dic3C2311yescharacteristic
102C2×C32×Dic3C2311yescharacteristic
103C32×C4×D3—22no—
104#6290—22no—
105#6290—22no—
106Dic3×C3⋊D3—22no—
107Dic3×C3⋊D3—22no—
108#5538—91no—
109#5528—94no—
110C22×C32×C4—31no—
111C2×#638—31no—
112C2×#638—31no—
113C2×C4⋊(C3⋊D3)C2×D311yescharacteristic
114C2×C4×C3⋊D3—31no—
115C2×C4×C3⋊D3—31no—
116C2×C4×C3⋊D3C2×D311yescharacteristic
117C2×C4×C3⋊D3C2×D311yescharacteristic
118C2×#634—31no—
119C2×#634—34no—
120C2×#634—64no—
121C2×C3×D12—34no—
122C2×C3×C4×D3—34no—
123C2×C3×C4×D3—34no—
124C2×C3×C4×D3C2×D314yes—
125C2×#625—34no—
126C2×#625—34no—
127C2×D3×Dic3—34no—
128C2×D3×Dic3—34no—
129C32×C4⋊C4—31no—
130C32×C4⋊C4—31no—
131C32×C22⋊C4—31no—
132C32×C22⋊C4—31no—
133C32×C42—24no—
134C32×C42—31no—
135C32×C42C2×D314yes—
136C32×C42C2×D311yescharacteristic
137#3757—31no—
138#3757—31no—
139#3752—31no—
140#3752—31no—
141#3752—31no—
142#3752—31no—
143#3752C2×D311yescharacteristic
144#3752C2×D311yescharacteristic
145C4⋊(C3⋊Dic3)—31no—
146C4⋊(C3⋊Dic3)—34no—
147C4⋊(C3⋊Dic3)—64no—
148C4⋊(C3⋊Dic3)C2×D311yescharacteristic
149#3750—31no—
150#3750—31no—
151#3750—34no—
152#3750—34no—
153#3750—31no—
154#3750—31no—
155#3750—31no—
156#3750—31no—
157#3750—64no—
158#3750—64no—
159C4×C3⋊Dic3—31no—
160C4×C3⋊Dic3—31no—
161C4×C3⋊Dic3—34no—
162C4×C3⋊Dic3—34no—
163C4×C3⋊Dic3—31no—
164C4×C3⋊Dic3—31no—
165C4×C3⋊Dic3—64no—
166C4×C3⋊Dic3—64no—
167C3×(C2×D3)⋊C4—34no—
168C3×(C2×D3)⋊C4—34no—
169C3×(C2×D3)⋊C4C2×D314yes—
170C3×(C2×D3)⋊C4C2×D314yes—
171C3×C4⋊Dic3—34no—
172C3×Dic3⋊C4C2×D314yes—
173C3×Dic3⋊C4C2×D314yes—
174C3×C4×Dic3C2×D314yes—
175#3724—34no—
176#3724—34no—
177Dic3⋊Dic3—34no—
178Dic3⋊Dic3—34no—
179(C2×D3)⋊Dic3—34no—
180(C2×D3)⋊Dic3—34no—
181(C2×D3)⋊Dic3—34no—
182(C2×D3)⋊Dic3—34no—
183(C2×D3)⋊Dic3—34no—
184(C2×D3)⋊Dic3—34no—
185Dic32—34no—
186Dic32—34no—
187C22×C33C2411yescharacteristic
188C2×C3×C3⋊D3—21no—
189C2×C3×C3⋊D3—21no—
190C2×C3×C3⋊D3—21no—
191C2×C3×C3⋊D3—21no—
192C2×C3×C3⋊D3—21no—
193C2×C3×C3⋊D3#4112yes—
194C2×C32×D3—21no—
195C2×C32×D3—21no—
196C2×C32×D3—21no—
197C33×C4—21no—
198C33×C4—21no—
199C33×C4#4112yes—
200C3⋊(C3⋊Dic3)—21no—
201C3⋊(C3⋊Dic3)—21no—
202C3⋊(C3⋊Dic3)—21no—
203C3⋊(C3⋊Dic3)#4112yes—
204C3×C3⋊Dic3—21no—
205C3×C3⋊Dic3—21no—
206C32×Dic3—21no—
207C32×Dic3—21no—
208C32×Dic3—21no—
209C3×C4×D4—91no—
210C3×#117—34no—
211#939—91no—
212#935—91no—
213C4×#67—94no—
214C4×#67—94no—
215C4×#67—91no—
216C4×#67—91no—
217#926—91no—
218C2×C4×Dic3—91no—
219#898—94no—
220#898—91no—
221#896—94no—
222#894—94no—
223#889—94no—
224#889—91no—
225#886—91no—
226#885—94no—
227#885—91no—
228#884—94no—
229#883—94no—
230#879—94no—
231#879—91no—
232#878—91no—
233C4×D12—34no—
234#872—94no—
235#872C3⋊D311yescharacteristic, complemented
236C42×D3—94no—
237C4×Dic6—94no—
238C4×Dic6—91no—
239C4×Dic6—184no—
240C23×C32—31no—
241C22×C3⋊D3C22×D311yescharacteristic
242C22×C3⋊D3C22×D311yescharacteristic
243C22×C3×D3—34no—
244C22×C3×D3—34no—
245C22×C3×D3C22×D314yes—
246C2×C32×C4—24no—
247C2×C32×C4—24no—
248C2×C32×C4—24no—
249C2×C32×C4—31no—
250C2×C32×C4—31no—
251C2×C32×C4—31no—
252C2×C32×C4—62no—
253C2×C32×C4C22×D314yes—
254C2×C32×C4C22×D314yes—
255C2×C32×C4C22×D314yes—
256C2×C32×C4C22×D311yescharacteristic
257C2×C32×C4C22×D311yescharacteristic
258C2×C32×C4C22×D311yescharacteristic
259#638—62no—
260#638—62no—
261C2×C3⋊Dic3—31no—
262C2×C3⋊Dic3—31no—
263C2×C3⋊Dic3—31no—
264C2×C3⋊Dic3—31no—
265C2×C3⋊Dic3—34no—
266C2×C3⋊Dic3—34no—
267C2×C3⋊Dic3—34no—
268C2×C3⋊Dic3—34no—
269C2×C3⋊Dic3—64no—
270C2×C3⋊Dic3—64no—
271C2×C3⋊Dic3—64no—
272C2×C3⋊Dic3—64no—
273C2×C3⋊Dic3C22×D311yescharacteristic
274C2×C3⋊Dic3C22×D311yescharacteristic
275C4⋊(C3⋊D3)—22no—
276C4×C3⋊D3—22no—
277C4×C3⋊D3—22no—
278C4×C3⋊D3—62no—
279C4×C3⋊D3—62no—
280#634—62no—
281#634—68no—
282#634—616no—
283C2×C3×Dic3—34no—
284C2×C3×Dic3—34no—
285C2×C3×Dic3C22×D314yes—
286C2×C3×Dic3C22×D314yes—
287C2×C3×Dic3C22×D314yes—
288C3×D12—68no—
289C3×C4×D3—28no—
290C3×C4×D3—68no—
291C3×C4×D3—68no—
292#625—68no—
293#625—68no—
294D3×Dic3—68no—
295D3×Dic3—68no—
296#529—271noSylow
297C2×C33C2×#4111yescharacteristic
298C2×C33C2×#4111yescharacteristic
299C2×C33C2×#4111yescharacteristic
300C3×C3⋊D3—22no—
301C3×C3⋊D3—41no—
302C32×D3—41no—
303C2×C3×D4—91no—
304C22×C3×C4—34no—
305C22×C3×C4—91no—
306C22×C3×C4—91no—
307C2×#67—94no—
308C2×#67—94no—
309C2×#67—91no—
310C2×#67—91no—
311C22×Dic3—91no—
312C22×Dic3—91no—
313C2×D12—34no—
314C2×C4×D3—34no—
315C2×C4×D3—34no—
316C2×C4×D3—94no—
317C2×C4×D3—94no—
318C2×C4×D3C2×C3⋊D311yescharacteristic
319C2×Dic6—94no—
320C2×Dic6—91no—
321C2×Dic6—184no—
322C3×C4⋊C4—34no—
323C3×C4⋊C4—34no—
324C3×C4⋊C4—91no—
325C3×C22⋊C4—34no—
326C3×C22⋊C4—34no—
327C3×C22⋊C4—91no—
328C3×C22⋊C4—91no—
329C3×C42—24no—
330C3×C42—34no—
331C3×C42D3214yes—
332C3×C42C2×C3⋊D311yescharacteristic
333#217—94no—
334#217—94no—
335#217—91no—
336#217—91no—
337#217—91no—
338#217—91no—
339(C2×D3)⋊C4—34no—
340(C2×D3)⋊C4—34no—
341(C2×D3)⋊C4—94no—
342(C2×D3)⋊C4—94no—
343(C2×D3)⋊C4—94no—
344(C2×D3)⋊C4—94no—
345(C2×D3)⋊C4—91no—
346(C2×D3)⋊C4—91no—
347(C2×D3)⋊C4C2×C3⋊D311yescharacteristic
348(C2×D3)⋊C4C2×C3⋊D311yescharacteristic
349C4⋊Dic3—34no—
350C4⋊Dic3—94no—
351C4⋊Dic3—91no—
352C4⋊Dic3—91no—
353C4⋊Dic3—91no—
354C4⋊Dic3—184no—
355Dic3⋊C4—94no—
356Dic3⋊C4—94no—
357Dic3⋊C4—94no—
358Dic3⋊C4—94no—
359Dic3⋊C4—94no—
360Dic3⋊C4—94no—
361Dic3⋊C4—91no—
362Dic3⋊C4—91no—
363Dic3⋊C4—91no—
364Dic3⋊C4—91no—
365Dic3⋊C4—184no—
366Dic3⋊C4—184no—
367Dic3⋊C4C2×C3⋊D311yescharacteristic
368Dic3⋊C4C2×C3⋊D311yescharacteristic
369C4×Dic3—94no—
370C4×Dic3—94no—
371C4×Dic3—94no—
372C4×Dic3—94no—
373C4×Dic3—91no—
374C4×Dic3—91no—
375C4×Dic3—91no—
376C4×Dic3—91no—
377C4×Dic3—184no—
378C4×Dic3—184no—
379C4×Dic3C2×C3⋊D311yescharacteristic
380C22×C32—24no—
381C22×C32—61no—
382C22×C32—61no—
383C22×C32—61no—
384C22×C32C23×D314yes—
385C22×C32C23×D311yescharacteristic
386C2×C3⋊D3—21no—
387C2×C3⋊D3—21no—
388C2×C3⋊D3—21no—
389C2×C3⋊D3—21no—
390C2×C3⋊D3—21no—
391C2×C3⋊D3#23512yes—
392C2×C3×D3—24no—
393C2×C3×D3—24no—
394C2×C3×D3—24no—
395C2×C3×D3—38no—
396C2×C3×D3—64no—
397C2×C3×D3—64no—
398C2×C3×D3—64no—
399C2×C3×D3—64no—
400C2×C3×D3—64no—
401C32×C4—28no—
402C32×C4—21no—
403C32×C4—24no—
404C32×C4—21no—
405C32×C4—28no—
406C32×C4—24no—
407C32×C4—44no—
408C32×C4—61no—
409C32×C4—61no—
410C32×C4—61no—
411C32×C4#23518yes—
412C32×C4#23712yes—
413C3⋊Dic3—21no—
414C3⋊Dic3—21no—
415C3⋊Dic3—32no—
416C3⋊Dic3—38no—
417C3⋊Dic3—68no—
418C3⋊Dic3—68no—
419C3⋊Dic3—61no—
420C3⋊Dic3—61no—
421C3⋊Dic3—64no—
422C3⋊Dic3—61no—
423C3⋊Dic3—64no—
424C3⋊Dic3—64no—
425C3⋊Dic3—124no—
426C3⋊Dic3—124no—
427C3×Dic3—24no—
428C3×Dic3—24no—
429C3×Dic3—24no—
430C3×Dic3—64no—
431C3×Dic3—64no—
432#126—271no—
433#126—271no—
434#125—271no—
435#124—271no—
436#123—271no—
437#123—271no—
438C22⋊Q8—271no—
439#121—271no—
440C4×Q8—271no—
441C4×D4—91no—
442C4×D4—271no—
443C4×D4—271no—
444#117—31no—
445#117—271no—
446C2×C42—271no—
447C33#52911yescharacteristic, complemented, Sylow
448C23×C3—34no—
449C23×C3—91no—
450C23×C3—91no—
451C22×D3—34no—
452C22×D3—34no—
453C22×D3C22×C3⋊D311yescharacteristic
454C3×D4—182no—
455C2×C3×C4—24no—
456C2×C3×C4—24no—
457C2×C3×C4—24no—
458C2×C3×C4—34no—
459C2×C3×C4—34no—
460C2×C3×C4—34no—
461C2×C3×C4—68no—
462C2×C3×C4—91no—
463C2×C3×C4—91no—
464C2×C3×C4—182no—
465C2×C3×C4—182no—
466C2×C3×C4C2×D3214yes—
467C2×C3×C4C2×D3214yes—
468C2×C3×C4C2×D3214yes—
469C2×C3×C4C22×C3⋊D311yescharacteristic
470C2×C3×C4C22×C3⋊D311yescharacteristic
471C2×C3×C4C22×C3⋊D311yescharacteristic
472#67—182no—
473#67—188no—
474#67—182no—
475#67—188no—
476C2×Dic3—34no—
477C2×Dic3—34no—
478C2×Dic3—94no—
479C2×Dic3—91no—
480C2×Dic3—94no—
481C2×Dic3—94no—
482C2×Dic3—94no—
483C2×Dic3—91no—
484C2×Dic3—91no—
485C2×Dic3—91no—
486C2×Dic3—184no—
487C2×Dic3—184no—
488C2×Dic3—184no—
489C2×Dic3—184no—
490C2×Dic3—182no—
491C2×Dic3—182no—
492C2×Dic3C22×C3⋊D311yescharacteristic
493C2×Dic3C22×C3⋊D311yescharacteristic
494C2×Dic3C22×C3⋊D311yescharacteristic
495D12—68no—
496C4×D3—22no—
497C4×D3—68no—
498C4×D3—68no—
499C4×D3—188no—
500C4×D3—188no—
501Dic6—188no—
502Dic6—182no—
503Dic6—1816no—
504C2×C32—24no—
505C2×C32—24no—
506C2×C32—24no—
507C2×C32—121no—
508C2×C32C2×#23514yes—
509C2×C32C2×#23511yescharacteristic
510C2×C32C2×#23711yescharacteristic
511C2×C32D3×#4114yes—
512C2×C32D3×#4114yes—
513C2×C32D3×#4111yescharacteristic
514C3⋊D3—22no—
515C3⋊D3—41no—
516C3×D3—44no—
517C3×D3—68no—
518C3×D3—124no—
519C2×Q8—271no—
520C2×D4—91no—
521C2×D4—271no—
522C2×D4—271no—
523C22×C4—31no—
524C22×C4—91no—
525C22×C4—91no—
526C22×C4—271no—
527C22×C4—271no—
528C4⋊C4—31no—
529C4⋊C4—31no—
530C4⋊C4—91no—
531C4⋊C4—271no—
532C4⋊C4—271no—
533C4⋊C4—271no—
534C4⋊C4—271no—
535C4⋊C4—271no—
536C4⋊C4—271no—
537C4⋊C4—271no—
538C22⋊C4—31no—
539C22⋊C4—31no—
540C22⋊C4—91no—
541C22⋊C4—91no—
542C22⋊C4—271no—
543C22⋊C4—271no—
544C22⋊C4—271no—
545C22⋊C4—271no—
546C22⋊C4—271no—
547C22⋊C4—271no—
548C42—31no—
549C42—271no—
550C42—271no—
551C42—271no—
552C42—271no—
553C42D3×C3⋊D311yescharacteristic
554C22×C3—24no—
555C22×C3—64no—
556C22×C3—64no—
557C22×C3—64no—
558C22×C3—92no—
559C22×C3—181no—
560C22×C3—181no—
561C22×C3—181no—
562C22×C3—181no—
563C22×C3—181no—
564C22×C3C22×D3214yes—
565C22×C3C23×C3⋊D311yescharacteristic
566C2×D3—21no—
567C2×D3—21no—
568C2×D3—21no—
569C2×D3—38no—
570C2×D3—64no—
571C2×D3—64no—
572C2×D3—64no—
573C2×D3—64no—
574C2×D3—64no—
575C3×C4—28no—
576C3×C4—24no—
577C3×C4—24no—
578C3×C4—21no—
579C3×C4—21no—
580C3×C4—28no—
581C3×C4—44no—
582C3×C4—64no—
583C3×C4—64no—
584C3×C4—64no—
585C3×C4—181no—
586C3×C4—181no—
587C3×C4#379518yes—
588C3×C4#382812yes—
589Dic3—21no—
590Dic3—21no—
591Dic3—21no—
592Dic3—64no—
593Dic3—64no—
594Dic3—98no—
595Dic3—92no—
596Dic3—188no—
597Dic3—188no—
598Dic3—184no—
599Dic3—184no—
600Dic3—184no—
601Dic3—181no—
602Dic3—181no—
603Dic3—181no—
604Dic3—364no—
605Dic3—364no—
606C32—24no—
607C32#552814yescomplemented
608C32#553811yescharacteristic, complemented
609C23—31no—
610C23—91no—
611C23—91no—
612Q8—542no—
613D4—182no—
614D4—542no—
615D4—542no—
616C2×C4—31no—
617C2×C4—31no—
618C2×C4—31no—
619C2×C4—62no—
620C2×C4—91no—
621C2×C4—91no—
622C2×C4—182no—
623C2×C4—182no—
624C2×C4—271no—
625C2×C4—271no—
626C2×C4—271no—
627C2×C4—271no—
628C2×C4—542no—
629C2×C4—542no—
630C2×C4C2×D3×C3⋊D311yescharacteristic
631C2×C4C2×D3×C3⋊D311yescharacteristic
632C2×C4C2×D3×C3⋊D311yescharacteristic
633C2×C3—24no—
634C2×C3—24no—
635C2×C3—24no—
636C2×C3—124no—
637C2×C3—182no—
638C2×C3—361no—
639C2×C3C2×#379514yes—
640C2×C3D3×#23514yes—
641C2×C3#6430614yes—
642C2×C3C2×#382811yescharacteristic
643C2×C3#41×C3⋊D311yescharacteristic
644C2×C3#41×C3⋊D311yescharacteristic
645D3—41no—
646D3—68no—
647D3—124no—
648C22—61no—
649C22—61no—
650C22—61no—
651C22—92no—
652C22—181no—
653C22—181no—
654C22—181no—
655C22—181no—
656C22—181no—
657C22C22×D3×C3⋊D311yescharacteristic
658C4—21no—
659C4—21no—
660C4—61no—
661C4—61no—
662C4—61no—
663C4—181no—
664C4—181no—
665C4—272no—
666C4—541no—
667C4—541no—
668C4—541no—
669C4#8902112yes—
670C3—24no—
671C3#1059391014yescomplemented
672C3#1059599911yescharacteristic, complemented
673C2—121no—
674C2—182no—
675C2—361no—
676C2C2×#8902111yescharacteristic
677C2C3⋊D3×#23511yescharacteristic
678C2#1172457811yescharacteristic
subgroupG/H
centerC2×C4C2×D3×C3⋊D3
commutator, socle, cosocleC22×C33C24
FrattiniC22C22×D3×C3⋊D3
FittingC33×C42C22
prime radical#11723519C2
hypercenterC42D3×C3⋊D3
hypocenterC33#529
LCSG ▷ C22×C33 ▷ C33
UCSC1 ◁ C2×C4 ◁ C42

Complements

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

NH ≅ G/Ntype
1. C4×#6308C2semidirect
2. C3×C4×C4⋊(C3⋊D3)C2semidirect
3. C32×#872C2semidirect
4. #11723528C2semidirect
5. #11723523C2semidirect
7. C4×#6290C2semidirect
8. C4×#6290C2semidirect
9. #11723497C2semidirect
10. #11723488C2semidirect
11. C4×Dic3×C3⋊D3C2semidirect
12. #11723437C2semidirect
13. #11723427C2semidirect
14. #11723408C2semidirect
15. #11723402C2semidirect
64. C4×C4⋊(C3⋊D3)D3semidirect
71. C3×#872D3semidirect
235. #872C3⋊D3semidirect
447. C33#529semidirect
607. C32#5528semidirect
608. C32#5538semidirect
671. C3#10593910semidirect
672. C3#10595999semidirect

Maximal subgroups

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

subgroupindex
C4×#63082
C3×C4×C4⋊(C3⋊D3)2
C32×#8722
#117235282
#117235232
#117235192
C4×#62902
#117234972
#117234882
C4×Dic3×C3⋊D32
#117234372
#117234272
#117234082
#117234022
#105959993
#105939103