Finite Group Databasebeta

← #13140237

Subgroups — #13140237

Order 1728.

979 conjugacy classes of subgroups.

The subgroup lattice has 610 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×((C3⋊D3)⋊C3)⋊C4C211yesmaximal, characteristic
2C2×#3752⋊C3C211yesmaximal, characteristic
3C2×C4×(C3⋊Dic3)⋊C3C211yesmaximal, characteristic, complemented
4C2×#88450C211yesmaximal, characteristic
5C2×#88447C211yesmaximal, characteristic, complemented
6#11720574C211yesmaximal, characteristic, complemented
7#11720334C211yesmaximal, characteristic, complemented
8#10591368—31nomaximal
9#10591233—31nomaximal
10C23×(C3⋊D3)⋊C3C2211yescharacteristic
11C22×C4×H(3,𝔽3)C2211yescharacteristic
12C22×#1084C2211yescharacteristic
13C22×#1084C2211yescharacteristic
14C22×(C3⋊Dic3)⋊C3C2211yescharacteristic
15C22×(C3⋊Dic3)⋊C3C2211yescharacteristic
16C22×(C3⋊Dic3)⋊C3C2211yescharacteristic
17C2×((C3⋊D3)⋊C3)⋊C4—22no—
18C2×((C3⋊D3)⋊C3)⋊C4—22no—
19C2×((C3⋊D3)⋊C3)⋊C4C414yescomplemented
20#3752⋊C3C414yescomplemented
21C4×(C3⋊Dic3)⋊C3—22no—
22#88450C414yescomplemented
23#88447—22no—
24C22×#624—31no—
25C22×D3×Dic3—31no—
26C2×#3752D311yescharacteristic
27C2×C4×C3⋊Dic3D311yescharacteristic, complemented
28C2×C3×(C2×D3)⋊C4—31no—
29C2×C3×C4×Dic3—31no—
30C2×#3722—31no—
31C2×(C2×D3)⋊Dic3—31no—
32C2×Dic32—31no—
33C2×Dic32—31no—
34C3×C3⋊#95—31no—
35C3×C3⋊#95—31no—
36C3×C3⋊#95—61no—
37#63579—31no—
38#63579—31no—
39C23×H(3,𝔽3)C2311yescharacteristic
40C22×(C3⋊D3)⋊C3—21no—
41C22×(C3⋊D3)⋊C3—21no—
42C22×(C3⋊D3)⋊C3—21no—
43C22×(C3⋊D3)⋊C3—21no—
44C22×(C3⋊D3)⋊C3C2×C412yes—
45C22×(C3⋊D3)⋊C3C2×C412yes—
46C22×(C3⋊D3)⋊C3C2×C412yes—
47C2×C4×H(3,𝔽3)—21no—
48C2×C4×H(3,𝔽3)—21no—
49C2×C4×H(3,𝔽3)C2×C412yescomplemented
50C2×#1084—21no—
51C2×#1084—21no—
52C2×#1084—21no—
53C2×#1084—21no—
54C2×#1084C2×C412yes—
55C2×#1084C2×C412yescomplemented
56C2×(C3⋊Dic3)⋊C3—21no—
57C2×(C3⋊Dic3)⋊C3—21no—
58C2×(C3⋊Dic3)⋊C3—21no—
59C2×(C3⋊Dic3)⋊C3—21no—
60C2×(C3⋊Dic3)⋊C3C2×C412yes—
61C2×(C3⋊Dic3)⋊C3C2×C412yescomplemented
62C2×(C3⋊Dic3)⋊C3C2×C412yescomplemented
63C2×(C3⋊Dic3)⋊C3D412yes—
64C2×(C3⋊Dic3)⋊C3D412yes—
65((C3⋊D3)⋊C3)⋊C4—28no—
66Dic3×C22⋊C4—91no—
67C4×(C2×D3)⋊C4—91no—
68#4666—91no—
69C23×C3⋊D3C2×D311yescharacteristic
70C23×C3×D3—31no—
71C22×C32×C4—21no—
72C22×C32×C4C2×D311yescharacteristic
73C22×C32×C4C2×D311yescharacteristic
74C22×C3⋊Dic3C2×D311yescharacteristic
75C22×C3⋊Dic3C2×D311yescharacteristic
76C22×C3⋊Dic3C2×D311yescharacteristic
77C22×C3×Dic3—31no—
78C22×C3×Dic3—31no—
79C22×C3×Dic3—31no—
80C22×C3×Dic3—31no—
81C22×C3×Dic3—31no—
82C22×C3×Dic3—31no—
83C22×C3×Dic3—31no—
84C22×C3×Dic3—61no—
85C22×C3×Dic3—61no—
86C2×#624—34no—
87C2×#624—62no—
88C2×#624—62no—
89C2×D3×Dic3—34no—
90C2×D3×Dic3—62no—
91C2×D3×Dic3—62no—
92#3752Dic314yescomplemented
93C4×C3⋊Dic3—22no—
94C3×(C2×D3)⋊C4—34no—
95C3×C4×Dic3—62no—
96#3722—34no—
97(C2×D3)⋊Dic3—34no—
98Dic32—62no—
99Dic32—62no—
100C22×H(3,𝔽3)C22×C411yescharacteristic
101C22×H(3,𝔽3)C22×C411yescharacteristic
102C22×H(3,𝔽3)C22×C411yescharacteristic
103C22×H(3,𝔽3)C2×D411yescharacteristic
104C22×H(3,𝔽3)C2×D411yescharacteristic
105C22×H(3,𝔽3)#4111yescharacteristic
106C22×H(3,𝔽3)#4111yescharacteristic
107C2×(C3⋊D3)⋊C3—22no—
108C2×(C3⋊D3)⋊C3—22no—
109C2×(C3⋊D3)⋊C3—22no—
110C2×(C3⋊D3)⋊C3—22no—
111C2×(C3⋊D3)⋊C3—22no—
112C2×(C3⋊D3)⋊C3—22no—
113C2×(C3⋊D3)⋊C3C4214yescomplemented
114C4×H(3,𝔽3)—22no—
115#1084—22no—
116#1084—22no—
117(C3⋊Dic3)⋊C3—22no—
118(C3⋊Dic3)⋊C3—22no—
119(C3⋊Dic3)⋊C3C22⋊C414yescomplemented
120C23×Dic3—91no—
121C22×C4×D3—91no—
122C22×C4×D3—91no—
123C2×C3×C22⋊C4—91no—
124C2×C3×C42—91no—
125C2×#217—91no—
126C2×(C2×D3)⋊C4—31no—
127C2×(C2×D3)⋊C4—91no—
128C2×(C2×D3)⋊C4—91no—
129C2×(C2×D3)⋊C4—91no—
130C2×C4×Dic3—31no—
131C2×C4×Dic3—91no—
132C2×C4×Dic3—91no—
133C2×C4×Dic3—91no—
134C2×C4×Dic3—91no—
135C3×#95—91no—
136C3⋊#95—31no—
137C3⋊#95—31no—
138C3⋊#95—61no—
139C3⋊#95—91no—
140C3⋊#95—91no—
141C3⋊#95—91no—
142C23×C32—21no—
143C23×C32C22×D311yescharacteristic
144C23×C32C22×D311yescharacteristic
145C22×C3⋊D3—21no—
146C22×C3⋊D3—21no—
147C22×C3⋊D3—21no—
148C22×C3⋊D3—21no—
149C22×C3⋊D3C4×D312yes—
150C22×C3⋊D3C4×D312yes—
151C22×C3⋊D3C2×Dic312yes—
152C22×C3×D3—32no—
153C22×C3×D3—32no—
154C22×C3×D3—32no—
155C22×C3×D3—61no—
156C22×C3×D3—61no—
157C22×C3×D3—61no—
158C22×C3×D3—61no—
159C2×C32×C4—21no—
160C2×C32×C4—21no—
161C2×C32×C4—21no—
162C2×C32×C4—21no—
163C2×C32×C4—22no—
164C2×C32×C4—41no—
165C2×C32×C4—41no—
166C2×C32×C4C4×D312yescomplemented
167C2×C32×C4C2×Dic312yescomplemented
168C2×C3⋊Dic3—21no—
169C2×C3⋊Dic3—21no—
170C2×C3⋊Dic3—21no—
171C2×C3⋊Dic3—21no—
172C2×C3⋊Dic3C4×D312yes—
173C2×C3⋊Dic3C4×D312yescomplemented
174C2×C3⋊Dic3D1212yes—
175C2×C3⋊Dic3C2×Dic312yescomplemented
176C2×C3⋊Dic3#6712yes—
177C2×C3×Dic3—32no—
178C2×C3×Dic3—32no—
179C2×C3×Dic3—32no—
180C2×C3×Dic3—32no—
181C2×C3×Dic3—32no—
182C2×C3×Dic3—32no—
183C2×C3×Dic3—32no—
184C2×C3×Dic3—32no—
185C2×C3×Dic3—32no—
186C2×C3×Dic3—62no—
187C2×C3×Dic3—62no—
188C2×C3×Dic3—61no—
189C2×C3×Dic3—61no—
190C2×C3×Dic3—61no—
191C2×C3×Dic3—61no—
192C2×C3×Dic3—61no—
193C2×C3×Dic3—61no—
194C2×C3×Dic3—61no—
195C2×C3×Dic3—61no—
196C2×C3×Dic3—61no—
197C2×C3×Dic3—61no—
198C2×C3×Dic3—61no—
199C2×C3×Dic3—61no—
200C2×C3×Dic3—121no—
201C2×C3×Dic3—121no—
202C2×C3×Dic3—121no—
203C2×C3×Dic3—121no—
204#624—68no—
205D3×Dic3—68no—
206C4×C22⋊C4—271noSylow
207C2×H(3,𝔽3)C2×C4211yescharacteristic
208C2×H(3,𝔽3)C2×C22⋊C411yescharacteristic
209C2×H(3,𝔽3)#11711yescharacteristic
210C2×H(3,𝔽3)C4×D411yescharacteristic
211C2×H(3,𝔽3)C4×D411yescharacteristic
212C2×H(3,𝔽3)C4×D411yescharacteristic
213C2×H(3,𝔽3)C4×D411yescharacteristic
214(C3⋊D3)⋊C3—24no—
215C24×C3—91no—
216C23×D3—31no—
217C23×D3—91no—
218C22×C3×C4—31no—
219C22×C3×C4—31no—
220C22×C3×C4—61no—
221C22×C3×C4—91no—
222C22×C3×C4—91no—
223C22×C3×C4—91no—
224C22×C3×C4—91no—
225C22×C3×C4—91no—
226C22×C3×C4D3211yescharacteristic
227C22×Dic3—31no—
228C22×Dic3—31no—
229C22×Dic3—31no—
230C22×Dic3—31no—
231C22×Dic3—31no—
232C22×Dic3—31no—
233C22×Dic3—31no—
234C22×Dic3—61no—
235C22×Dic3—61no—
236C22×Dic3—91no—
237C22×Dic3—91no—
238C22×Dic3—91no—
239C22×Dic3—94no—
240C22×Dic3—182no—
241C22×Dic3—182no—
242C2×C4×D3—94no—
243C2×C4×D3—94no—
244C2×C4×D3—182no—
245C2×C4×D3—182no—
246C2×C4×D3—182no—
247C2×C4×D3—182no—
248C3×C22⋊C4—94no—
249C3×C42—182no—
250#217—94no—
251(C2×D3)⋊C4—34no—
252(C2×D3)⋊C4—94no—
253(C2×D3)⋊C4—94no—
254(C2×D3)⋊C4—94no—
255C4×Dic3—62no—
256C4×Dic3—182no—
257C4×Dic3—182no—
258C4×Dic3—182no—
259C4×Dic3—182no—
260C22×C32—21no—
261C22×C32—21no—
262C22×C32—21no—
263C22×C32—21no—
264C22×C32—21no—
265C22×C32—21no—
266C22×C32—21no—
267C22×C32C2×C4×D311yescharacteristic
268C22×C32C2×C4×D311yescharacteristic
269C22×C32C2×C4×D311yescharacteristic
270C22×C32C2×C4×D311yescharacteristic
271C22×C32C2×C4×D311yescharacteristic
272C22×C32C2×D1211yescharacteristic
273C22×C32#23511yescharacteristic
274C22×C32#23511yescharacteristic
275C22×C32D3×D411yescharacteristic
276C22×C32D3×D411yescharacteristic
277C22×C32#23711yescharacteristic
278C22×C32#23711yescharacteristic
279C22×C32C22×Dic311yescharacteristic
280C22×C32C2×#6711yescharacteristic
281C2×C3⋊D3—22no—
282C2×C3⋊D3—22no—
283C2×C3⋊D3—22no—
284C2×C3⋊D3—22no—
285C2×C3⋊D3—22no—
286C2×C3⋊D3—22no—
287C2×C3⋊D3C4×Dic314yescomplemented
288C2×C3×D3—34no—
289C2×C3×D3—62no—
290C2×C3×D3—62no—
291C2×C3×D3—62no—
292C2×C3×D3—62no—
293C2×C3×D3—62no—
294C2×C3×D3—62no—
295C32×C4—22no—
296C32×C4—22no—
297C32×C4—42no—
298C3⋊Dic3—22no—
299C3⋊Dic3—22no—
300C3⋊Dic3(C2×D3)⋊C414yescomplemented
301C3×Dic3—34no—
302C3×Dic3—62no—
303C3×Dic3—62no—
304C3×Dic3—62no—
305C3×Dic3—62no—
306C3×Dic3—62no—
307C3×Dic3—62no—
308C3×Dic3—122no—
309C3×Dic3—122no—
310C23×C4—271no—
311C2×C22⋊C4—91no—
312C2×C22⋊C4—271no—
313C2×C42—91no—
314C2×C42—271no—
315#95—91no—
316#95—271no—
317H(3,𝔽3)C4×C22⋊C411yescharacteristic, complemented, Sylow
318C23×C3—31no—
319C23×C3—31no—
320C23×C3—61no—
321C23×C3—92no—
322C23×C3—92no—
323C23×C3—92no—
324C23×C3—181no—
325C23×C3—181no—
326C23×C3—181no—
327C23×C3—181no—
328C23×C3C2×D3211yescharacteristic
329C22×D3—32no—
330C22×D3—32no—
331C22×D3—32no—
332C22×D3—61no—
333C22×D3—61no—
334C22×D3—61no—
335C22×D3—61no—
336C22×D3—92no—
337C22×D3—92no—
338C22×D3—92no—
339C22×D3—181no—
340C22×D3—181no—
341C22×D3—181no—
342C22×D3—181no—
343C2×C3×C4—21no—
344C2×C3×C4—21no—
345C2×C3×C4—32no—
346C2×C3×C4—32no—
347C2×C3×C4—61no—
348C2×C3×C4—61no—
349C2×C3×C4—61no—
350C2×C3×C4—61no—
351C2×C3×C4—62no—
352C2×C3×C4—92no—
353C2×C3×C4—92no—
354C2×C3×C4—92no—
355C2×C3×C4—92no—
356C2×C3×C4—92no—
357C2×C3×C4—92no—
358C2×C3×C4—92no—
359C2×C3×C4—121no—
360C2×C3×C4—121no—
361C2×C3×C4—181no—
362C2×C3×C4—181no—
363C2×C3×C4—181no—
364C2×C3×C4—181no—
365C2×C3×C4—181no—
366C2×C3×C4—181no—
367C2×C3×C4—181no—
368C2×C3×C4—181no—
369C2×C3×C4D3×Dic312yes—
370C2×Dic3—32no—
371C2×Dic3—32no—
372C2×Dic3—32no—
373C2×Dic3—32no—
374C2×Dic3—32no—
375C2×Dic3—32no—
376C2×Dic3—32no—
377C2×Dic3—32no—
378C2×Dic3—32no—
379C2×Dic3—62no—
380C2×Dic3—62no—
381C2×Dic3—61no—
382C2×Dic3—61no—
383C2×Dic3—61no—
384C2×Dic3—61no—
385C2×Dic3—61no—
386C2×Dic3—61no—
387C2×Dic3—61no—
388C2×Dic3—61no—
389C2×Dic3—61no—
390C2×Dic3—61no—
391C2×Dic3—61no—
392C2×Dic3—61no—
393C2×Dic3—92no—
394C2×Dic3—92no—
395C2×Dic3—92no—
396C2×Dic3—92no—
397C2×Dic3—92no—
398C2×Dic3—121no—
399C2×Dic3—121no—
400C2×Dic3—121no—
401C2×Dic3—121no—
402C2×Dic3—181no—
403C2×Dic3—181no—
404C2×Dic3—181no—
405C2×Dic3—181no—
406C2×Dic3—188no—
407C4×D3—188no—
408C4×D3—188no—
409C2×C32—21no—
410C2×C32—21no—
411C2×C32—21no—
412C2×C32—21no—
413C2×C32—21no—
414C2×C32—21no—
415C2×C32—21no—
416C2×C32C42×D311yescharacteristic
417C2×C32#87211yescharacteristic
418C2×C32C4×D1211yescharacteristic
419C2×C32C4×D1211yescharacteristic
420C2×C32#87711yescharacteristic
421C2×C32D3×C22⋊C411yescharacteristic
422C2×C32#67⋊C411yescharacteristic
423C2×C32#67⋊C411yescharacteristic
424C2×C32C2×C4×Dic311yescharacteristic
425C2×C32C2×(C2×D3)⋊C411yescharacteristic
426C2×C32C4×#6711yescharacteristic
427C2×C32C4×#6711yescharacteristic
428C2×C32D4×Dic311yescharacteristic
429C2×C32D4×Dic311yescharacteristic
430C3⋊D3—24no—
431C3×D3—64no—
432C24—91no—
433C22×C4—91no—
434C22×C4—91no—
435C22×C4—91no—
436C22×C4—91no—
437C22×C4—91no—
438C22×C4—274no—
439C22×C4—542no—
440C22×C4—542no—
441C22×C4((C3⋊D3)⋊C3)⋊C211yescharacteristic
442C22⋊C4—94no—
443C22⋊C4—274no—
444C42—182no—
445C42—542no—
446C22×C3—31no—
447C22×C3—31no—
448C22×C3—31no—
449C22×C3—31no—
450C22×C3—31no—
451C22×C3—31no—
452C22×C3—31no—
453C22×C3—31no—
454C22×C3—31no—
455C22×C3—31no—
456C22×C3—31no—
457C22×C3—31no—
458C22×C3—31no—
459C22×C3—31no—
460C22×C3—61no—
461C22×C3—61no—
462C22×C3—61no—
463C22×C3—61no—
464C22×C3—61no—
465C22×C3—61no—
466C22×C3—61no—
467C22×C3—94no—
468C22×C3—182no—
469C22×C3—182no—
470C22×C3—182no—
471C22×C3—182no—
472C22×C3—182no—
473C22×C3—182no—
474C22×C3#379511yescharacteristic
475C22×C3C4×D3211yescharacteristic
476C22×C3C4×D3211yescharacteristic
477C22×C3D3×D1211yescharacteristic
478C22×C3C2×D3×Dic311yescharacteristic
479C22×C3#380411yescharacteristic
480C22×C3D3×#6711yescharacteristic
481C2×D3—34no—
482C2×D3—62no—
483C2×D3—62no—
484C2×D3—62no—
485C2×D3—62no—
486C2×D3—62no—
487C2×D3—62no—
488C2×D3—94no—
489C2×D3—182no—
490C2×D3—182no—
491C2×D3—182no—
492C2×D3—182no—
493C2×D3—182no—
494C2×D3—182no—
495C3×C4—22no—
496C3×C4—62no—
497C3×C4—62no—
498C3×C4—94no—
499C3×C4—122no—
500C3×C4—182no—
501C3×C4—182no—
502C3×C4—182no—
503C3×C4—182no—
504Dic3—34no—
505Dic3—62no—
506Dic3—62no—
507Dic3—62no—
508Dic3—62no—
509Dic3—62no—
510Dic3—62no—
511Dic3—94no—
512Dic3—122no—
513Dic3—122no—
514Dic3—182no—
515Dic3—182no—
516C32—21no—
517C32C4×(C2×D3)⋊C411yescharacteristic, complemented
518C32Dic3×C22⋊C411yescharacteristic, complemented
519C23—92no—
520C23—92no—
521C23—92no—
522C23—181no—
523C23—181no—
524C23—181no—
525C23—181no—
526C23C2×((C3⋊D3)⋊C3)⋊C211yescharacteristic
527C2×C4—21no—
528C2×C4—21no—
529C2×C4—92no—
530C2×C4—92no—
531C2×C4—92no—
532C2×C4—92no—
533C2×C4—92no—
534C2×C4—92no—
535C2×C4—92no—
536C2×C4—181no—
537C2×C4—181no—
538C2×C4—181no—
539C2×C4—181no—
540C2×C4—181no—
541C2×C4—181no—
542C2×C4—181no—
543C2×C4—181no—
544C2×C4—548no—
545C2×C4((C3⋊D3)⋊C3)⋊C412yescomplemented
546C2×C3—31no—
547C2×C3—31no—
548C2×C3—31no—
549C2×C3—31no—
550C2×C3—31no—
551C2×C3—31no—
552C2×C3—31no—
553C2×C3—31no—
554C2×C3—31no—
555C2×C3—31no—
556C2×C3—31no—
557C2×C3—31no—
558C2×C3—31no—
559C2×C3—31no—
560C2×C3—61no—
561C2×C3—61no—
562C2×C3—61no—
563C2×C3—61no—
564C2×C3—61no—
565C2×C3—61no—
566C2×C3—61no—
567C2×C3—184no—
568C2×C3C4×D3×Dic311yescharacteristic
569C2×C3#6387711yescharacteristic
570C2×C3#6387911yescharacteristic
571C2×C3#6388011yescharacteristic
572C2×C3Dic3×D1211yescharacteristic
573C2×C3D3×(C2×D3)⋊C411yescharacteristic
574C2×C3Dic3×#6711yescharacteristic
575D3—64no—
576D3—184no—
577C22—94no—
578C22—182no—
579C22—182no—
580C22—182no—
581C22—182no—
582C22—182no—
583C22—182no—
584C22#8864811yescharacteristic
585C22C4×((C3⋊D3)⋊C3)⋊C211yescharacteristic
586C22C4×((C3⋊D3)⋊C3)⋊C211yescharacteristic
587C22#8865411yescharacteristic
588C22C2×((C3⋊D3)⋊C3)⋊C411yescharacteristic
589C22#8867111yescharacteristic
590C22#8867611yescharacteristic
591C4—22no—
592C4—94no—
593C4—182no—
594C4—182no—
595C4—182no—
596C4—182no—
597C3—31no—
598C3—31no—
599C3—61no—
600C3Dic3×(C2×D3)⋊C411yescharacteristic
601C2—184no—
602C2C4×((C3⋊D3)⋊C3)⋊C411yescharacteristic
603C2#1172112011yescharacteristic
604C2#1172112211yescharacteristic
605C2#1172112311yescharacteristic
606C2#1172113211yescharacteristic
607C2#1172116011yescharacteristic
608C2#1172131411yescharacteristic
subgroupG/H
centerC23C2×((C3⋊D3)⋊C3)⋊C2
commutatorC2×H(3,𝔽3)C2×C42
Frattini, socleC23×C3C2×D32
FittingC22×C4×H(3,𝔽3)C22
prime radicalC23×(C3⋊D3)⋊C3C22
cosocleC23×H(3,𝔽3)C23
hypercenterC22×C4((C3⋊D3)⋊C3)⋊C2
hypocenterH(3,𝔽3)C4×C22⋊C4
LCSG ▷ C2×H(3,𝔽3) ▷ H(3,𝔽3)
UCSC1 ◁ C23 ◁ C22×C4

Complements

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

NH ≅ G/Ntype
3. C2×C4×(C3⋊Dic3)⋊C3C2semidirect
5. C2×#88447C2semidirect
6. #11720574C2semidirect
7. #11720334C2semidirect
19. C2×((C3⋊D3)⋊C3)⋊C4C4semidirect
20. #3752⋊C3C4semidirect
22. #88450C4semidirect
27. C2×C4×C3⋊Dic3D3semidirect
49. C2×C4×H(3,𝔽3)C2×C4semidirect
55. C2×#1084C2×C4semidirect
61. C2×(C3⋊Dic3)⋊C3C2×C4semidirect
62. C2×(C3⋊Dic3)⋊C3C2×C4semidirect
92. #3752Dic3semidirect
113. C2×(C3⋊D3)⋊C3C42semidirect
119. (C3⋊Dic3)⋊C3C22⋊C4semidirect
166. C2×C32×C4C4×D3semidirect
167. C2×C32×C4C2×Dic3semidirect
173. C2×C3⋊Dic3C4×D3semidirect
175. C2×C3⋊Dic3C2×Dic3semidirect
287. C2×C3⋊D3C4×Dic3semidirect
300. C3⋊Dic3(C2×D3)⋊C4semidirect
317. H(3,𝔽3)C4×C22⋊C4semidirect
517. C32C4×(C2×D3)⋊C4semidirect
518. C32Dic3×C22⋊C4semidirect
545. C2×C4((C3⋊D3)⋊C3)⋊C4semidirect

Maximal subgroups

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

subgroupindex
C22×((C3⋊D3)⋊C3)⋊C42
C2×#3752⋊C32
C2×C4×(C3⋊Dic3)⋊C32
C2×#884502
C2×#884472
#117205742
#117203342
#105913683
#105912333