Finite Group Databasebeta

← C3×#10596016 #13179298

Subgroups — C3×#10596016 #13179298

Order 1728.

2404 conjugacy classes of subgroups.

The subgroup lattice has 556 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D4×C3⋊D3C211yesmaximal, characteristic
2C33×C4×D4C211yesmaximal, characteristic, complemented
3C3×D4×C3⋊Dic3C211yesmaximal, characteristic, complemented
4C3×C4×#638C212yesmaximal, complemented
5C2×C3×#3752C212yesmaximal, complemented
6C3×#64102C211yesmaximal, characteristic, complemented
7C3×#64101C211yesmaximal, characteristic, complemented
8C3×#64090C212yesmaximal, complemented
9C3×C22⋊C4×C3⋊D3C212yesmaximal, complemented
10C3×C4×C4⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
11C3×#64081C211yesmaximal, characteristic, complemented
12#10596016C311yesmaximal, characteristic, direct product factor
13C3×#5545—34nomaximal
14C23×C3×C3⋊D3C2212yes—
15C2×C33×D4C2211yescharacteristic
16C22×C33×C4C2212yescomplemented
17C2×C3×#638C2212yes—
18C22×C3×C3⋊Dic3C2212yescomplemented
19C3×D4×C3⋊D3C418yescomplemented
20C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
21C2×C3×C4×C3⋊D3C2211yescharacteristic
22C2×C3×C4×C3⋊D3C2212yescomplemented
23C2×C3×C4×C3⋊D3C2212yescomplemented
24C33×C4⋊C4C2211yescharacteristic, complemented
25C33×C22⋊C4C2212yescomplemented
26C33×C42C2211yescharacteristic, complemented
27C3×#3757C2212yescomplemented
28C3×#3752C2211yescharacteristic
29C3×#3752C2211yescharacteristic
30C3×#3752C2212yes—
31C3×#3752C2212yescomplemented
32C3×#3752C2212yescomplemented
33C3×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
34C3×#3750C2211yescharacteristic, complemented
35C3×#3750C2211yescharacteristic, complemented
36C3×C4×C3⋊Dic3C2211yescharacteristic, complemented
37C3×C4×C3⋊Dic3C2212yescomplemented
38C2×D4×C3⋊D3C2×C311yescharacteristic
39C2×C3×D3×D4—34no—
40C32×C4×D4—24no—
41C32×C4×D4D314yescomplemented
42C32×C4×D4C2×C311yescharacteristic, complemented
43D4×C3⋊Dic3C2×C311yescharacteristic, complemented
44C4×#638C2×C312yescomplemented
45C2×#3752C2×C312yescomplemented
46#64102C2×C311yescharacteristic, complemented
47#64101C2×C311yescharacteristic, complemented
48#64090C2×C312yescomplemented
49C22⋊C4×C3⋊D3C2×C312yescomplemented
50C4×C4⋊(C3⋊D3)C2×C311yescharacteristic, complemented
51#64081C2×C311yescharacteristic, complemented
52C3×D4×Dic3—34no—
53C3×C4×#67—38no—
54C2×C3×(C2×D3)⋊C4—38no—
55C3×#893—34no—
56C3×#892—34no—
57C3×#67⋊C4—38no—
58C3×D3×C22⋊C4—38no—
59C3×C4×D12—34no—
60C3×#872—34no—
61C23×C33C2312yes—
62C22×C3×C3⋊D3—42no—
63C22×C3×C3⋊D3—42no—
64C22×C3×C3⋊D3C2×C418yescomplemented
65C22×C3×C3⋊D3C2311yescharacteristic
66C22×C3×C3⋊D3C2312yes—
67C33×D4C2×C414yescomplemented
68C2×C33×C4—42no—
69C2×C33×C4C2312yes—
70C2×C33×C4C2311yescharacteristic
71C2×C33×C4C2311yescharacteristic
72C2×C33×C4C2311yescharacteristic
73C3×#638C2×C418yescomplemented
74C2×C3×C3⋊Dic3—42no—
75C2×C3×C3⋊Dic3C2311yescharacteristic
76C2×C3×C3⋊Dic3C2311yescharacteristic
77C2×C3×C3⋊Dic3C2312yes—
78C2×C3×C3⋊Dic3C2311yescharacteristic
79C3×C4⋊(C3⋊D3)C2×C414yescomplemented
80C3×C4×C3⋊D3—42no—
81C3×C4×C3⋊D3—42no—
82C3×C4×C3⋊D3C2×C414yescomplemented
83C3×#518—91no—
84#5545—34no—
85C23×C3⋊D3C22×C312yes—
86C23×C3×D3—38no—
87C2×C32×D4—24no—
88C2×C32×D4C2×D314yes—
89C2×C32×D4C22×C311yescharacteristic
90C22×C32×C4—28no—
91C22×C32×C4C2×D318yescomplemented
92C22×C32×C4C22×C312yescomplemented
93C2×#638C22×C312yes—
94C22×C3⋊Dic3C22×C312yescomplemented
95D4×C3⋊D3C3×C418yescomplemented
96C2×C4⋊(C3⋊D3)C22×C311yescharacteristic
97C2×C4×C3⋊D3C22×C311yescharacteristic
98C2×C4×C3⋊D3C22×C312yescomplemented
99C2×C4×C3⋊D3C22×C312yescomplemented
100C2×C3×#67—38no—
101C22×C3×Dic3—38no—
102C3×D3×D4—332no—
103C2×C3×D12—34no—
104C2×C3×C4×D3—34no—
105C2×C3×C4×D3—38no—
106C2×C3×C4×D3—38no—
107C32×C4⋊C4—24no—
108C32×C4⋊C4C2×D314yescomplemented
109C32×C4⋊C4C22×C311yescharacteristic, complemented
110C32×C22⋊C4—28no—
111C32×C22⋊C4C2×D318yescomplemented
112C32×C22⋊C4C22×C312yescomplemented
113C32×C42—24no—
114C32×C42C2×D314yescomplemented
115C32×C42C22×C311yescharacteristic, complemented
116#3757C22×C312yescomplemented
117#3752C22×C311yescharacteristic
118#3752C22×C311yescharacteristic
119#3752C22×C312yes—
120#3752C22×C312yescomplemented
121#3752C22×C312yescomplemented
122C4⋊(C3⋊Dic3)C22×C311yescharacteristic, complemented
123#3750C22×C311yescharacteristic, complemented
124#3750C22×C311yescharacteristic, complemented
125C4×C3⋊Dic3C22×C311yescharacteristic, complemented
126C4×C3⋊Dic3C22×C312yescomplemented
127C3×#217—38no—
128C3×(C2×D3)⋊C4—34no—
129C3×(C2×D3)⋊C4—38no—
130C3×(C2×D3)⋊C4—38no—
131C3×(C2×D3)⋊C4—34no—
132C3×(C2×D3)⋊C4—38no—
133C3×C4⋊Dic3—34no—
134C3×Dic3⋊C4—34no—
135C3×Dic3⋊C4—34no—
136C3×C4×Dic3—38no—
137C3×C4×Dic3—34no—
138C22×C33—22no—
139C22×C33—22no—
140C22×C33C22×C414yes—
141C22×C33C2411yescharacteristic
142C2×C3×C3⋊D3—22no—
143C2×C3×C3⋊D3—22no—
144C2×C3×C3⋊D3—21no—
145C2×C3×C3⋊D3—21no—
146C2×C3×C3⋊D3—48no—
147C2×C3×C3⋊D3C22×C412yes—
148C2×C3×C3⋊D3C22×C414yes—
149C33×C4—21no—
150C33×C4—21no—
151C33×C4—22no—
152C33×C4C22×C412yes—
153C3×C3⋊Dic3—21no—
154C3×C3⋊Dic3—22no—
155C3×C3⋊Dic3—21no—
156C3×C3⋊Dic3C22×C412yes—
157C22×C3×D4—91no—
158C2×D3×D4—34no—
159C3×C4×D4—24no—
160C3×C4×D4—91no—
161C3×C4×D4—92no—
162C3×C4×D4—91no—
163C3×C4×D4—92no—
164C3×C4×D4—91no—
165C3×C4×D4C3×D314yescomplemented
166C3×C4×D4C3⋊D311yescharacteristic, complemented
167C3×#117—91no—
168C3×#117—91no—
169C2×C3×C22⋊C4—92no—
170C2×C3×C22⋊C4—92no—
171D4×Dic3—34no—
172C4×#67—38no—
173C2×(C2×D3)⋊C4—38no—
174#893—34no—
175#892—34no—
176#67⋊C4—38no—
177D3×C22⋊C4—38no—
178C4×D12—34no—
179#872—34no—
180C23×C32—28no—
181C23×C32C22×D318yes—
182C23×C32C23×C312yes—
183C22×C3⋊D3—42no—
184C22×C3⋊D3—42no—
185C22×C3⋊D3C2×C3×C418yescomplemented
186C22×C3⋊D3C23×C311yescharacteristic
187C22×C3⋊D3C23×C312yes—
188C22×C3×D3—34no—
189C22×C3×D3—38no—
190C22×C3×D3—332no—
191C22×C3×D3—128no—
192C22×C3×D3—128no—
193C32×D4—216no—
194C32×D4C4×D3116yescomplemented
195C32×D4C2×C3×C414yescomplemented
196C2×C32×C4—24no—
197C2×C32×C4—24no—
198C2×C32×C4—24no—
199C2×C32×C4—28no—
200C2×C32×C4—48no—
201C2×C32×C4—42no—
202C2×C32×C4—416no—
203C2×C32×C4C22×D318yes—
204C2×C32×C4C22×D314yes—
205C2×C32×C4C22×D314yes—
206C2×C32×C4C22×D314yes—
207C2×C32×C4C23×C312yes—
208C2×C32×C4C23×C311yescharacteristic
209C2×C32×C4C23×C311yescharacteristic
210C2×C32×C4C23×C311yescharacteristic
211#638C2×C3×C418yescomplemented
212C2×C3⋊Dic3—42no—
213C2×C3⋊Dic3C23×C311yescharacteristic
214C2×C3⋊Dic3C23×C311yescharacteristic
215C2×C3⋊Dic3C23×C312yes—
216C2×C3⋊Dic3C23×C311yescharacteristic
217C4⋊(C3⋊D3)C2×C3×C414yescomplemented
218C4×C3⋊D3—42no—
219C4×C3⋊D3—42no—
220C4×C3⋊D3C2×C3×C414yescomplemented
221C3×#67—332no—
222C2×C3×Dic3—34no—
223C2×C3×Dic3—34no—
224C2×C3×Dic3—34no—
225C2×C3×Dic3—38no—
226C2×C3×Dic3—128no—
227C3×D12—316no—
228C3×C4×D3—316no—
229C3×C4×D3—128no—
230C3×C4×D3—128no—
231#518—91noSylow
232C2×C33—24no—
233C2×C33C23×C411yescharacteristic
234C2×C33H(5,𝔽2)11yescharacteristic
235C2×C33H(5,𝔽2)11yescharacteristic
236C3×C3⋊D3—22no—
237C3×C3⋊D3—24no—
238C24×C3—92no—
239C23×D3—38no—
240C2×C3×D4—24no—
241C2×C3×D4—92no—
242C2×C3×D4—98no—
243C2×C3×D4—91no—
244C2×C3×D4C2×C3×D314yes—
245C2×C3×D4C2×C3⋊D311yescharacteristic
246C22×C3×C4—28no—
247C22×C3×C4—91no—
248C22×C3×C4—92no—
249C22×C3×C4—92no—
250C22×C3×C4—92no—
251C22×C3×C4C2×C3×D318yescomplemented
252C22×C3×C4C2×C3⋊D312yescomplemented
253C2×#67—38no—
254C22×Dic3—38no—
255D3×D4—332no—
256C2×D12—34no—
257C2×C4×D3—34no—
258C2×C4×D3—38no—
259C2×C4×D3—38no—
260C3×C4⋊C4—24no—
261C3×C4⋊C4—91no—
262C3×C4⋊C4—91no—
263C3×C4⋊C4—91no—
264C3×C4⋊C4C2×C3×D314yescomplemented
265C3×C4⋊C4C2×C3⋊D311yescharacteristic, complemented
266C3×C22⋊C4—28no—
267C3×C22⋊C4—92no—
268C3×C22⋊C4—92no—
269C3×C22⋊C4—91no—
270C3×C22⋊C4—91no—
271C3×C22⋊C4—92no—
272C3×C22⋊C4—92no—
273C3×C22⋊C4C2×C3×D318yescomplemented
274C3×C22⋊C4C2×C3⋊D312yescomplemented
275C3×C42—24no—
276C3×C42—92no—
277C3×C42—91no—
278C3×C42C2×C3×D314yescomplemented
279C3×C42C2×C3⋊D311yescharacteristic, complemented
280#217—38no—
281(C2×D3)⋊C4—34no—
282(C2×D3)⋊C4—34no—
283(C2×D3)⋊C4—38no—
284(C2×D3)⋊C4—38no—
285(C2×D3)⋊C4—38no—
286C4⋊Dic3—34no—
287Dic3⋊C4—34no—
288Dic3⋊C4—34no—
289C4×Dic3—34no—
290C4×Dic3—38no—
291C22×C32—22no—
292C22×C32—22no—
293C22×C32—24no—
294C22×C32—216no—
295C22×C32—28no—
296C22×C32—28no—
297C22×C32—48no—
298C22×C32—48no—
299C22×C32C2×C4×D3116yes—
300C22×C32C22×C3×C414yes—
301C22×C32C23×D314yes—
302C22×C32C24×C311yescharacteristic
303C2×C3⋊D3—22no—
304C2×C3⋊D3—22no—
305C2×C3⋊D3—21no—
306C2×C3⋊D3—21no—
307C2×C3⋊D3—48no—
308C2×C3⋊D3C22×C3×C412yes—
309C2×C3⋊D3C22×C3×C414yes—
310C2×C3×D3—38no—
311C2×C3×D3—316no—
312C2×C3×D3—68no—
313C2×C3×D3—64no—
314C2×C3×D3—68no—
315C2×C3×D3—64no—
316C2×C3×D3—1232no—
317C32×C4—28no—
318C32×C4—24no—
319C32×C4—21no—
320C32×C4—22no—
321C32×C4—21no—
322C32×C4—28no—
323C32×C4—28no—
324C32×C4—24no—
325C32×C4—44no—
326C32×C4—48no—
327C32×C4C2×C4×D318yes—
328C32×C4C22×C3×C412yes—
329C3⋊Dic3—21no—
330C3⋊Dic3—22no—
331C3⋊Dic3—21no—
332C3⋊Dic3C22×C3×C412yes—
333C3×Dic3—38no—
334C3×Dic3—64no—
335C3×Dic3—68no—
336C3×Dic3—64no—
337C22×D4—91no—
338C4×D4—91no—
339C4×D4—92no—
340C4×D4—91no—
341C4×D4—92no—
342C4×D4—91no—
343C4×D4C3×C3⋊D311yescharacteristic, complemented
344#117—91no—
345#117—91no—
346C2×C22⋊C4—92no—
347C2×C22⋊C4—92no—
348C33#51811yescharacteristic, complemented, Sylow
349C23×C3—28no—
350C23×C3—91no—
351C23×C3—92no—
352C23×C3—98no—
353C23×C3—362no—
354C23×C3—362no—
355C23×C3C22×C3×D318yes—
356C23×C3C22×C3⋊D312yes—
357C22×D3—34no—
358C22×D3—38no—
359C22×D3—332no—
360C22×D3—128no—
361C22×D3—128no—
362C3×D4—216no—
363C3×D4—98no—
364C3×D4—94no—
365C3×D4C3×C4×D3116yescomplemented
366C3×D4C4×C3⋊D314yescomplemented
367C2×C3×C4—24no—
368C2×C3×C4—24no—
369C2×C3×C4—24no—
370C2×C3×C4—28no—
371C2×C3×C4—48no—
372C2×C3×C4—42no—
373C2×C3×C4—416no—
374C2×C3×C4—91no—
375C2×C3×C4—94no—
376C2×C3×C4—91no—
377C2×C3×C4—91no—
378C2×C3×C4—92no—
379C2×C3×C4—362no—
380C2×C3×C4—362no—
381C2×C3×C4—362no—
382C2×C3×C4C22×C3×D318yes—
383C2×C3×C4C22×C3×D314yes—
384C2×C3×C4C22×C3×D314yes—
385C2×C3×C4C22×C3×D314yes—
386C2×C3×C4C22×C3⋊D312yes—
387C2×C3×C4C22×C3⋊D311yescharacteristic
388C2×C3×C4C22×C3⋊D311yescharacteristic
389C2×C3×C4C22×C3⋊D311yescharacteristic
390#67—332no—
391C2×Dic3—34no—
392C2×Dic3—34no—
393C2×Dic3—34no—
394C2×Dic3—38no—
395C2×Dic3—128no—
396D12—316no—
397C4×D3—316no—
398C4×D3—128no—
399C4×D3—128no—
400C2×C32—24no—
401C2×C32—24no—
402C2×C32—24no—
403C2×C32—24no—
404C2×C32—216no—
405C2×C32—416no—
406C2×C32C22×C4×D314yes—
407C2×C32#100414yes—
408C2×C32#100914yes—
409C2×C32C23×C3×C411yescharacteristic
410C2×C32C3×H(5,𝔽2)11yescharacteristic
411C2×C32C3×H(5,𝔽2)11yescharacteristic
412C3⋊D3—22no—
413C3⋊D3—24no—
414C3×D3—616no—
415C3×D3—68no—
416C24—92no—
417C2×D4—92no—
418C2×D4—98no—
419C2×D4—91no—
420C2×D4C2×C3×C3⋊D311yescharacteristic
421C22×C4—91no—
422C22×C4—92no—
423C22×C4—92no—
424C22×C4—92no—
425C22×C4C2×C3×C3⋊D312yescomplemented
426C4⋊C4—91no—
427C4⋊C4—91no—
428C4⋊C4—91no—
429C4⋊C4C2×C3×C3⋊D311yescharacteristic, complemented
430C22⋊C4—92no—
431C22⋊C4—92no—
432C22⋊C4—91no—
433C22⋊C4—91no—
434C22⋊C4—92no—
435C22⋊C4—92no—
436C22⋊C4C2×C3×C3⋊D312yescomplemented
437C42—92no—
438C42—91no—
439C42C2×C3×C3⋊D311yescharacteristic, complemented
440C22×C3—28no—
441C22×C3—28no—
442C22×C3—22no—
443C22×C3—22no—
444C22×C3—24no—
445C22×C3—216no—
446C22×C3—48no—
447C22×C3—48no—
448C22×C3—92no—
449C22×C3—94no—
450C22×C3—182no—
451C22×C3—181no—
452C22×C3—182no—
453C22×C3—181no—
454C22×C3—368no—
455C22×C3C2×C3×C4×D3116yes—
456C22×C3C2×C4×C3⋊D314yes—
457C22×C3C23×C3×D314yes—
458C22×C3C23×C3⋊D311yescharacteristic
459C2×D3—38no—
460C2×D3—316no—
461C2×D3—68no—
462C2×D3—64no—
463C2×D3—68no—
464C2×D3—64no—
465C2×D3—1232no—
466C3×C4—28no—
467C3×C4—28no—
468C3×C4—24no—
469C3×C4—24no—
470C3×C4—21no—
471C3×C4—22no—
472C3×C4—21no—
473C3×C4—28no—
474C3×C4—48no—
475C3×C4—44no—
476C3×C4—92no—
477C3×C4—181no—
478C3×C4—182no—
479C3×C4—181no—
480C3×C4C2×C3×C4×D318yes—
481C3×C4C2×C4×C3⋊D312yes—
482Dic3—38no—
483Dic3—64no—
484Dic3—68no—
485Dic3—64no—
486C32—24no—
487C32#554514yescomplemented
488C32C3×#51811yescharacteristic, complemented
489C23—91no—
490C23—92no—
491C23—98no—
492C23—362no—
493C23—362no—
494C23C22×C3×C3⋊D312yes—
495D4—98no—
496D4—94no—
497D4C3×C4×C3⋊D314yescomplemented
498C2×C4—42no—
499C2×C4—91no—
500C2×C4—94no—
501C2×C4—91no—
502C2×C4—92no—
503C2×C4—91no—
504C2×C4—362no—
505C2×C4—362no—
506C2×C4—362no—
507C2×C4C22×C3×C3⋊D312yes—
508C2×C4C22×C3×C3⋊D311yescharacteristic
509C2×C4C22×C3×C3⋊D311yescharacteristic
510C2×C4C22×C3×C3⋊D311yescharacteristic
511C2×C3—216no—
512C2×C3—24no—
513C2×C3—24no—
514C2×C3—24no—
515C2×C3—24no—
516C2×C3—416no—
517C2×C3—182no—
518C2×C3—184no—
519C2×C3C22×C3×C4×D314yes—
520C2×C3C3×#100414yes—
521C2×C3C3×#100914yes—
522C2×C3C22×C4×C3⋊D311yescharacteristic
523C2×C3#6436111yescharacteristic
524C2×C3#6436611yescharacteristic
525D3—68no—
526D3—616no—
527C22—22no—
528C22—22no—
529C22—92no—
530C22—94no—
531C22—182no—
532C22—181no—
533C22—182no—
534C22—181no—
535C22—368no—
536C22C2×C3×C4×C3⋊D314yes—
537C22C23×C3×C3⋊D311yescharacteristic
538C4—21no—
539C4—22no—
540C4—21no—
541C4—92no—
542C4—181no—
543C4—182no—
544C4—181no—
545C4C2×C3×C4×C3⋊D312yes—
546C3—24no—
547C3C3×#554514yescomplemented
548C3#1059601611yescharacteristic, direct product factor
549C2—24no—
550C2—182no—
551C2—184no—
552C2C22×C3×C4×C3⋊D311yescharacteristic
553C2C3×#6436111yescharacteristic
554C2C3×#6436611yescharacteristic
subgroupG/H
centerC22×C3C23×C3⋊D3
commutatorC2×C32C23×C3×C4
FrattiniC22C23×C3×C3⋊D3
FittingC33×C4×D4C2
socleC22×C33C24
prime radicalC2×C3×D4×C3⋊D3C2
cosocleC22×C32C24×C3
hypercenterC3×C4×D4C3⋊D3
hypocenterC32C3×#518
LCSG ▷ C2×C32 ▷ C32
UCSC1 ◁ C22×C3 ◁ C3×C4×D4

Complements

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

NH ≅ G/Ntype
2. C33×C4×D4C2semidirect
3. C3×D4×C3⋊Dic3C2semidirect
4. C3×C4×#638C2semidirect
5. C2×C3×#3752C2semidirect
6. C3×#64102C2semidirect
7. C3×#64101C2semidirect
8. C3×#64090C2semidirect
9. C3×C22⋊C4×C3⋊D3C2semidirect
10. C3×C4×C4⋊(C3⋊D3)C2semidirect
11. C3×#64081C2semidirect
12. #10596016C3direct (N × H)
16. C22×C33×C4C22semidirect
18. C22×C3×C3⋊Dic3C22semidirect
19. C3×D4×C3⋊D3C4semidirect
22. C2×C3×C4×C3⋊D3C22semidirect
23. C2×C3×C4×C3⋊D3C22semidirect
24. C33×C4⋊C4C22semidirect
25. C33×C22⋊C4C22semidirect
26. C33×C42C22semidirect
27. C3×#3757C22semidirect
31. C3×#3752C22semidirect
32. C3×#3752C22semidirect
33. C3×C4⋊(C3⋊Dic3)C22semidirect
34. C3×#3750C22semidirect
35. C3×#3750C22semidirect
36. C3×C4×C3⋊Dic3C22semidirect
37. C3×C4×C3⋊Dic3C22semidirect
41. C32×C4×D4D3semidirect
42. C32×C4×D4C2×C3semidirect
43. D4×C3⋊Dic3C2×C3semidirect
44. C4×#638C2×C3semidirect
45. C2×#3752C2×C3semidirect
46. #64102C2×C3semidirect
47. #64101C2×C3semidirect
48. #64090C2×C3semidirect
49. C22⋊C4×C3⋊D3C2×C3semidirect
50. C4×C4⋊(C3⋊D3)C2×C3semidirect
51. #64081C2×C3semidirect
64. C22×C3×C3⋊D3C2×C4semidirect
67. C33×D4C2×C4semidirect
73. C3×#638C2×C4semidirect
79. C3×C4⋊(C3⋊D3)C2×C4semidirect
82. C3×C4×C3⋊D3C2×C4semidirect
91. C22×C32×C4C2×D3semidirect
92. C22×C32×C4C22×C3semidirect
94. C22×C3⋊Dic3C22×C3semidirect
95. D4×C3⋊D3C3×C4semidirect
98. C2×C4×C3⋊D3C22×C3semidirect
99. C2×C4×C3⋊D3C22×C3semidirect
108. C32×C4⋊C4C2×D3semidirect
109. C32×C4⋊C4C22×C3semidirect
111. C32×C22⋊C4C2×D3semidirect
112. C32×C22⋊C4C22×C3semidirect
114. C32×C42C2×D3semidirect
115. C32×C42C22×C3semidirect
116. #3757C22×C3semidirect
120. #3752C22×C3semidirect
121. #3752C22×C3semidirect
122. C4⋊(C3⋊Dic3)C22×C3semidirect
123. #3750C22×C3semidirect
124. #3750C22×C3semidirect
125. C4×C3⋊Dic3C22×C3semidirect
126. C4×C3⋊Dic3C22×C3semidirect
165. C3×C4×D4C3×D3semidirect
166. C3×C4×D4C3⋊D3semidirect
185. C22×C3⋊D3C2×C3×C4semidirect
194. C32×D4C4×D3semidirect
195. C32×D4C2×C3×C4semidirect
211. #638C2×C3×C4semidirect
217. C4⋊(C3⋊D3)C2×C3×C4semidirect
220. C4×C3⋊D3C2×C3×C4semidirect
251. C22×C3×C4C2×C3×D3semidirect
252. C22×C3×C4C2×C3⋊D3semidirect
264. C3×C4⋊C4C2×C3×D3semidirect
265. C3×C4⋊C4C2×C3⋊D3semidirect
273. C3×C22⋊C4C2×C3×D3semidirect
274. C3×C22⋊C4C2×C3⋊D3semidirect
278. C3×C42C2×C3×D3semidirect
279. C3×C42C2×C3⋊D3semidirect
343. C4×D4C3×C3⋊D3semidirect
348. C33#518semidirect
365. C3×D4C3×C4×D3semidirect
366. C3×D4C4×C3⋊D3semidirect
425. C22×C4C2×C3×C3⋊D3semidirect
429. C4⋊C4C2×C3×C3⋊D3semidirect
436. C22⋊C4C2×C3×C3⋊D3semidirect
439. C42C2×C3×C3⋊D3semidirect
487. C32#5545semidirect
488. C32C3×#518semidirect
497. D4C3×C4×C3⋊D3semidirect
547. C3C3×#5545semidirect
548. C3#10596016direct (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×C3⋊D32
C33×C4×D42
C3×D4×C3⋊Dic32
C3×C4×#6382
C2×C3×#37522
C3×#641022
C3×#641012
C3×#640902
C3×C22⋊C4×C3⋊D32
C3×C4×C4⋊(C3⋊D3)2
C3×#640812
#105960163
C3×#55453