Finite Group Databasebeta

← C2×C3⋊D3×(C2×D3)⋊C4 #13177288

Subgroups — C2×C3⋊D3×(C2×D3)⋊C4 #13177288

Order 1728.

4572 conjugacy classes of subgroups.

The subgroup lattice has 564 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×D3×C3⋊D3C211yesmaximal, characteristic
2C22×C3×C4×C3⋊D3C211yesmaximal, characteristic, complemented
3C22×Dic3×C3⋊D3C211yesmaximal, characteristic, complemented
4C2×#88859C211yesmaximal, characteristic, complemented
5C2×C32×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
6C2×#88804C211yesmaximal, characteristic, complemented
7C2×(C2×D3)⋊(C3⋊Dic3)C211yesmaximal, characteristic, complemented
8C3⋊D3×(C2×D3)⋊C4C218yesmaximal, direct product factor
9C2×C22⋊C4×C3⋊D3—31nomaximal
10C2×D3×(C2×D3)⋊C4—34nomaximal
11C23×C3⋊(C3⋊D3)C2211yescharacteristic
12C23×C3×C3⋊D3C2211yescharacteristic
13C23×C32×D3C2211yescharacteristic
14C22×D3×C3⋊D3—24no—
15C22×D3×C3⋊D3—24no—
16C22×D3×C3⋊D3C418yescomplemented
17C22×D3×C3⋊D3C2214yes—
18C22×C33×C4C2211yescharacteristic, complemented
19C22×C3⋊(C3⋊Dic3)C2211yescharacteristic, complemented
20C22×C3×C3⋊Dic3C2211yescharacteristic, complemented
21C2×C3×C4×C3⋊D3—24no—
22C2×C3×C4×C3⋊D3C2214yescomplemented
23C22×C32×Dic3C2211yescharacteristic, complemented
24C2×Dic3×C3⋊D3—24no—
25C2×Dic3×C3⋊D3C2214yescomplemented
26#88859C2214yescomplemented
27C32×(C2×D3)⋊C4C2214yescomplemented
28#88804C2214yescomplemented
29(C2×D3)⋊(C3⋊Dic3)C2214yescomplemented
30C24×C3⋊D3—31no—
31C23×D32—34no—
32C22×C4×C3⋊D3—31no—
33C22×C4×C3⋊D3D311yescharacteristic, complemented
34C22×C3×C4×D3—34no—
35C22×D3×Dic3—34no—
36C2×C32×C22⋊C4—31no—
37C2×#3757—31no—
38C2×#3752—31no—
39C2×#3752—31no—
40C2×#3752—34no—
41C2×#3752—64no—
42C22⋊C4×C3⋊D3—38no—
43C2×C3×(C2×D3)⋊C4D314yescomplemented
44C2×#3722—34no—
45C2×(C2×D3)⋊Dic3—34no—
46D3×(C2×D3)⋊C4—332no—
47C23×C33C2311yescharacteristic
48C22×C3⋊(C3⋊D3)—22no—
49C22×C3⋊(C3⋊D3)—22no—
50C22×C3⋊(C3⋊D3)C2×C414yescomplemented
51C22×C3⋊(C3⋊D3)C2312yes—
52C22×C3×C3⋊D3C2×C414yes—
53C22×C3×C3⋊D3D414yes—
54C22×C3×C3⋊D3D414yes—
55C22×C3×C3⋊D3C2312yes—
56C22×C32×D3—22no—
57C22×C32×D3—22no—
58C22×C32×D3C2×C414yescomplemented
59C22×C32×D3C2312yes—
60C2×D3×C3⋊D3—232no—
61C2×D3×C3⋊D3—28no—
62C2×D3×C3⋊D3—28no—
63C2×D3×C3⋊D3C2×C4116yescomplemented
64C2×C33×C4—22no—
65C2×C33×C4C2312yescomplemented
66C2×C3⋊(C3⋊Dic3)—22no—
67C2×C3⋊(C3⋊Dic3)C2312yescomplemented
68C2×C3×C3⋊Dic3—22no—
69C2×C3×C3⋊Dic3C2312yescomplemented
70C3×C4×C3⋊D3—28no—
71C2×C32×Dic3—22no—
72C2×C32×Dic3C2312yescomplemented
73Dic3×C3⋊D3—28no—
74C22×(C2×D3)⋊C4—91no—
75C2×D3×C22⋊C4—94no—
76C24×C32—31no—
77C23×C3⋊D3—31no—
78C23×C3⋊D3—34no—
79C23×C3⋊D3—38no—
80C23×C3⋊D3—34no—
81C23×C3⋊D3—64no—
82C23×C3⋊D3—64no—
83C23×C3⋊D3—64no—
84C23×C3⋊D3C2×D311yescharacteristic
85C23×C3×D3—34no—
86C23×C3×D3C2×D314yes—
87C22×D32—332no—
88C22×D32—316no—
89C22×D32—616no—
90C22×D32—616no—
91C22×C32×C4—24no—
92C22×C32×C4—31no—
93C22×C32×C4C2×D314yescomplemented
94C22×C32×C4C2×D311yescharacteristic, complemented
95C22×C3⋊Dic3—31no—
96C22×C3⋊Dic3—34no—
97C22×C3⋊Dic3—64no—
98C22×C3⋊Dic3C2×D311yescharacteristic, complemented
99C2×C4×C3⋊D3—24no—
100C2×C4×C3⋊D3—34no—
101C2×C4×C3⋊D3—64no—
102C2×C4×C3⋊D3C2×D314yescomplemented
103C22×C3×Dic3—34no—
104C22×C3×Dic3C2×D314yescomplemented
105C2×C3×C4×D3—316no—
106C2×C3×C4×D3—616no—
107C2×D3×Dic3—316no—
108C2×D3×Dic3—616no—
109C32×C22⋊C4—34no—
110#3757—34no—
111#3752—34no—
112#3752—316no—
113#3752—34no—
114#3752—616no—
115C3×(C2×D3)⋊C4C2×D3116yescomplemented
116#3722—316no—
117(C2×D3)⋊Dic3—316no—
118C22×C33C22×C412yes—
119C22×C33C2×D412yes—
120C22×C33C2×D412yes—
121C22×C33C2411yescharacteristic
122C2×C3⋊(C3⋊D3)—28no—
123C2×C3⋊(C3⋊D3)—22no—
124C2×C3⋊(C3⋊D3)—22no—
125C2×C3⋊(C3⋊D3)C22×C414yescomplemented
126C2×C3×C3⋊D3C22⋊C4116yescomplemented
127C2×C3×C3⋊D3C22×C414yes—
128C2×C3×C3⋊D3C2×D414yes—
129C2×C3×C3⋊D3C2×D414yes—
130C2×C32×D3—28no—
131C2×C32×D3—22no—
132C2×C32×D3—22no—
133C2×C32×D3C22×C414yescomplemented
134D3×C3⋊D3—232no—
135C33×C4—22no—
136C3⋊(C3⋊Dic3)—22no—
137C3×C3⋊Dic3—22no—
138C32×Dic3—22no—
139C24×D3—94no—
140C24×D3—91no—
141C23×C3×C4—91no—
142C23×Dic3—91no—
143C22×C4×D3—34no—
144C22×C4×D3—94no—
145C2×C3×C22⋊C4—34no—
146C2×#217—94no—
147C2×(C2×D3)⋊C4—94no—
148C2×(C2×D3)⋊C4—91no—
149C2×(C2×D3)⋊C4—94no—
150C2×(C2×D3)⋊C4—91no—
151C2×(C2×D3)⋊C4—91no—
152C2×(C2×D3)⋊C4—98no—
153C2×(C2×D3)⋊C4—184no—
154C2×(C2×D3)⋊C4C3⋊D311yescharacteristic, direct product factor
155D3×C22⋊C4—932no—
156C23×C32—24no—
157C23×C32—34no—
158C23×C32—32no—
159C23×C32—62no—
160C23×C32—62no—
161C23×C32C22×D314yes—
162C23×C32C22×D311yescharacteristic
163C22×C3⋊D3—34no—
164C22×C3⋊D3—32no—
165C22×C3⋊D3—316no—
166C22×C3⋊D3—316no—
167C22×C3⋊D3—38no—
168C22×C3⋊D3—68no—
169C22×C3⋊D3—616no—
170C22×C3⋊D3—62no—
171C22×C3⋊D3—62no—
172C22×C3⋊D3—632no—
173C22×C3⋊D3—68no—
174C22×C3⋊D3—68no—
175C22×C3⋊D3—68no—
176C22×C3⋊D3—68no—
177C22×C3⋊D3—128no—
178C22×C3⋊D3—128no—
179C22×C3⋊D3C4×D314yes—
180C22×C3⋊D3D1214yes—
181C22×C3⋊D3#6714yes—
182C22×C3⋊D3C22×D312yes—
183C22×C3×D3—28no—
184C22×C3×D3—28no—
185C22×C3×D3—316no—
186C22×C3×D3—316no—
187C22×C3×D3—316no—
188C22×C3×D3—38no—
189C22×C3×D3C4×D3116yescomplemented
190C22×C3×D3C22×D318yes—
191C2×D32—364no—
192C2×D32—6128no—
193C2×D32—632no—
194C2×D32—632no—
195C2×C32×C4—22no—
196C2×C32×C4—28no—
197C2×C32×C4—28no—
198C2×C32×C4—32no—
199C2×C32×C4—48no—
200C2×C32×C4—62no—
201C2×C32×C4C22×D318yescomplemented
202C2×C32×C4C22×D312yescomplemented
203C2×C3⋊Dic3—22no—
204C2×C3⋊Dic3—32no—
205C2×C3⋊Dic3—38no—
206C2×C3⋊Dic3—68no—
207C2×C3⋊Dic3—62no—
208C2×C3⋊Dic3—68no—
209C2×C3⋊Dic3—128no—
210C2×C3⋊Dic3C22×D312yescomplemented
211C4×C3⋊D3—28no—
212C4×C3⋊D3—68no—
213C2×C3×Dic3—28no—
214C2×C3×Dic3—38no—
215C2×C3×Dic3—68no—
216C2×C3×Dic3C22×D318yescomplemented
217C3×C4×D3—632no—
218D3×Dic3—632no—
219C22×C22⋊C4—271noSylow
220C2×C33C2×C22⋊C414yescomplemented
221C2×C33C23×C411yescharacteristic
222C2×C33C22×D411yescharacteristic
223C2×C33C22×D411yescharacteristic
224C3⋊(C3⋊D3)—24no—
225C3×C3⋊D3C2×C22⋊C418yescomplemented
226C32×D3—24no—
227C24×C3—34no—
228C24×C3—91no—
229C23×D3—34no—
230C23×D3—916no—
231C23×D3—932no—
232C23×D3—94no—
233C23×D3—91no—
234C23×D3—98no—
235C23×D3—94no—
236C23×D3—184no—
237C23×D3—184no—
238C23×D3—184no—
239C23×D3—1816no—
240C23×D3—1816no—
241C23×D3C2×C3⋊D311yescharacteristic
242C22×C3×C4—24no—
243C22×C3×C4—34no—
244C22×C3×C4—91no—
245C22×C3×C4—94no—
246C22×C3×C4—184no—
247C22×C3×C4D3214yescomplemented
248C22×C3×C4C2×C3⋊D311yescharacteristic, complemented
249C22×Dic3—34no—
250C22×Dic3—94no—
251C22×Dic3—91no—
252C22×Dic3—94no—
253C22×Dic3—184no—
254C22×Dic3—184no—
255C22×Dic3C2×C3⋊D311yescharacteristic, complemented
256C2×C4×D3—316no—
257C2×C4×D3—616no—
258C2×C4×D3—916no—
259C2×C4×D3—1816no—
260C3×C22⋊C4—316no—
261#217—916no—
262(C2×D3)⋊C4—916no—
263(C2×D3)⋊C4—94no—
264(C2×D3)⋊C4—916no—
265(C2×D3)⋊C4—94no—
266(C2×D3)⋊C4—94no—
267(C2×D3)⋊C4—1816no—
268(C2×D3)⋊C4C2×C3⋊D314yesdirect product factor
269C22×C32—24no—
270C22×C32—28no—
271C22×C32—28no—
272C22×C32—28no—
273C22×C32—34no—
274C22×C32—68no—
275C22×C32—62no—
276C22×C32—62no—
277C22×C32C2×C4×D318yes—
278C22×C32C2×C4×D312yes—
279C22×C32C2×D1212yes—
280C22×C32D3×D418yes—
281C22×C32D3×D418yes—
282C22×C32C2×#6712yes—
283C22×C32C23×D314yes—
284C22×C32C23×D311yescharacteristic
285C2×C3⋊D3—34no—
286C2×C3⋊D3—316no—
287C2×C3⋊D3—616no—
288C2×C3⋊D3—68no—
289C2×C3⋊D3—62no—
290C2×C3⋊D3—62no—
291C2×C3⋊D3—632no—
292C2×C3⋊D3—632no—
293C2×C3⋊D3—68no—
294C2×C3⋊D3—68no—
295C2×C3⋊D3—128no—
296C2×C3⋊D3—128no—
297C2×C3⋊D3—1232no—
298C2×C3⋊D3(C2×D3)⋊C4116yesdirect product factor
299C2×C3⋊D3C2×C4×D314yes—
300C2×C3⋊D3C2×D1214yes—
301C2×C3⋊D3C2×#6714yes—
302C2×C3×D3—232no—
303C2×C3×D3—28no—
304C2×C3×D3—28no—
305C2×C3×D3—364no—
306C2×C3×D3—316no—
307C2×C3×D3—316no—
308C2×C3×D3—316no—
309C2×C3×D3C2×C4×D3116yescomplemented
310D32—6128no—
311C32×C4—22no—
312C32×C4—28no—
313C32×C4—48no—
314C32×C4—62no—
315C3⋊Dic3—22no—
316C3⋊Dic3—62no—
317C3⋊Dic3—68no—
318C3⋊Dic3—128no—
319C3×Dic3—28no—
320C3×Dic3—68no—
321C25—271no—
322C23×C4—91no—
323C23×C4—271no—
324C2×C22⋊C4—31no—
325C2×C22⋊C4—278no—
326C2×C22⋊C4—271no—
327C2×C22⋊C4—271no—
328C2×C22⋊C4—271no—
329C33C22×C22⋊C411yescharacteristic, complemented, Sylow
330C23×C3—24no—
331C23×C3—38no—
332C23×C3—316no—
333C23×C3—68no—
334C23×C3—68no—
335C23×C3—92no—
336C23×C3—94no—
337C23×C3—94no—
338C23×C3—94no—
339C23×C3C2×D3214yes—
340C23×C3C22×C3⋊D311yescharacteristic
341C22×D3—22no—
342C22×D3—22no—
343C22×D3—38no—
344C22×D3—316no—
345C22×D3—316no—
346C22×D3—316no—
347C22×D3—964no—
348C22×D3—98no—
349C22×D3—92no—
350C22×D3—916no—
351C22×D3—94no—
352C22×D3—916no—
353C22×D3—188no—
354C22×D3—1816no—
355C22×D3—1832no—
356C22×D3—188no—
357C22×D3—188no—
358C22×D3—1832no—
359C22×D3—1832no—
360C22×D3—18128no—
361C22×D3—188no—
362C22×D3—188no—
363C22×D3—182no—
364C22×D3—182no—
365C22×D3—368no—
366C22×D3—368no—
367C22×D3C4×C3⋊D314yescomplemented
368C22×D3C22×C3⋊D312yes—
369C2×C3×C4—28no—
370C2×C3×C4—22no—
371C2×C3×C4—28no—
372C2×C3×C4—38no—
373C2×C3×C4—48no—
374C2×C3×C4—68no—
375C2×C3×C4—92no—
376C2×C3×C4—188no—
377C2×C3×C4—182no—
378C2×C3×C4C2×D3218yescomplemented
379C2×C3×C4C22×C3⋊D312yescomplemented
380C2×Dic3—22no—
381C2×Dic3—38no—
382C2×Dic3—68no—
383C2×Dic3—98no—
384C2×Dic3—92no—
385C2×Dic3—188no—
386C2×Dic3—188no—
387C2×Dic3—188no—
388C2×Dic3—182no—
389C2×Dic3—368no—
390C2×Dic3C22×C3⋊D312yescomplemented
391C4×D3—632no—
392C4×D3—1832no—
393C2×C32—24no—
394C2×C32—24no—
395C2×C32—24no—
396C2×C32—216no—
397C2×C32—64no—
398C2×C32D3×C22⋊C4116yescomplemented
399C2×C32C2×(C2×D3)⋊C414yescomplemented
400C2×C32C22×C4×D314yes—
401C2×C32C22×C4×D311yescharacteristic
402C2×C32C22×D1211yescharacteristic
403C2×C32C2×D3×D414yes—
404C2×C32C2×D3×D414yes—
405C2×C32C22×#6711yescharacteristic
406C3⋊D3—64no—
407C3⋊D3—616no—
408C3⋊D3—1216no—
409C3⋊D3C2×(C2×D3)⋊C418yesdirect product factor
410C3×D3—216no—
411C3×D3—332no—
412C24—31no—
413C24—91no—
414C24—274no—
415C24—278no—
416C24—271no—
417C24—544no—
418C24—544no—
419C22×C4—31no—
420C22×C4—91no—
421C22×C4—94no—
422C22×C4—184no—
423C22×C4—274no—
424C22×C4—271no—
425C22×C4—544no—
426C22×C4D3×C3⋊D311yescharacteristic, complemented
427C22⋊C4—34no—
428C22⋊C4—274no—
429C22⋊C4—274no—
430C22⋊C4—274no—
431C22×C3—24no—
432C22×C3—28no—
433C22×C3—28no—
434C22×C3—28no—
435C22×C3—316no—
436C22×C3—68no—
437C22×C3—68no—
438C22×C3—632no—
439C22×C3—916no—
440C22×C3—94no—
441C22×C3—94no—
442C22×C3—94no—
443C22×C3C4×D3218yes—
444C22×C3D3×D1218yes—
445C22×C3D3×#6718yes—
446C22×C3C2×C4×C3⋊D312yes—
447C22×C3D4×C3⋊D312yes—
448C22×C3D4×C3⋊D312yes—
449C22×C3C22×D3214yes—
450C22×C3C23×C3⋊D311yescharacteristic
451C2×D3—28no—
452C2×D3—22no—
453C2×D3—22no—
454C2×D3—316no—
455C2×D3—316no—
456C2×D3—316no—
457C2×D3—364no—
458C2×D3—916no—
459C2×D3—94no—
460C2×D3—1816no—
461C2×D3—1832no—
462C2×D3—18128no—
463C2×D3—188no—
464C2×D3—188no—
465C2×D3—188no—
466C2×D3—182no—
467C2×D3—182no—
468C2×D3—1832no—
469C2×D3—3632no—
470C2×D3—368no—
471C2×D3—368no—
472C2×D3C2×C4×C3⋊D314yescomplemented
473C3×C4—28no—
474C3×C4—22no—
475C3×C4—48no—
476C3×C4—68no—
477C3×C4—182no—
478Dic3—22no—
479Dic3—68no—
480Dic3—188no—
481Dic3—182no—
482Dic3—368no—
483C32—24no—
484C32C2×D3×C22⋊C414yescomplemented
485C32C22×(C2×D3)⋊C411yescharacteristic, complemented
486C23—32no—
487C23—34no—
488C23—62no—
489C23—62no—
490C23—92no—
491C23—94no—
492C23—94no—
493C23—94no—
494C23—2716no—
495C23—272no—
496C23—274no—
497C23—5432no—
498C23—548no—
499C23—548no—
500C23—542no—
501C23—542no—
502C23C2×D3×C3⋊D311yescharacteristic
503C2×C4—22no—
504C2×C4—32no—
505C2×C4—62no—
506C2×C4—92no—
507C2×C4—188no—
508C2×C4—182no—
509C2×C4—272no—
510C2×C4—548no—
511C2×C4—542no—
512C2×C4C2×D3×C3⋊D312yescomplemented
513C2×C3—216no—
514C2×C3—24no—
515C2×C3—24no—
516C2×C3—24no—
517C2×C3—616no—
518C2×C3—98no—
519C2×C3D3×(C2×D3)⋊C4116yescomplemented
520C2×C3C22⋊C4×C3⋊D314yescomplemented
521C2×C3C2×C4×D3214yes—
522C2×C3C2×D3×D1214yes—
523C2×C3C2×D3×#6714yes—
524C2×C3C22×C4×C3⋊D311yescharacteristic
525C2×C3C2×D4×C3⋊D311yescharacteristic
526C2×C3C2×D4×C3⋊D311yescharacteristic
527D3—24no—
528D3—332no—
529D3—184no—
530D3—1816no—
531D3—3616no—
532C22—34no—
533C22—68no—
534C22—62no—
535C22—62no—
536C22—916no—
537C22—94no—
538C22—94no—
539C22—94no—
540C22—274no—
541C22—5432no—
542C22—548no—
543C22—542no—
544C22—542no—
545C22C4×D3×C3⋊D312yes—
546C22C3⋊D3×D1212yes—
547C22C3⋊D3×#6712yes—
548C22C22×D3×C3⋊D311yescharacteristic
549C4—22no—
550C4—62no—
551C4—182no—
552C4—542no—
553C3—24no—
554C3C2×D3×(C2×D3)⋊C414yescomplemented
555C3C2×C22⋊C4×C3⋊D311yescharacteristic, complemented
556C2—64no—
557C2—98no—
558C2—544no—
559C2C3⋊D3×(C2×D3)⋊C414yesdirect product factor
560C2C2×C4×D3×C3⋊D311yescharacteristic
561C2C2×C3⋊D3×D1211yescharacteristic
562C2C2×C3⋊D3×#6711yescharacteristic
subgroupG/H
centerC23C2×D3×C3⋊D3
commutatorC2×C33C23×C4
FrattiniC22C22×D3×C3⋊D3
FittingC22×C33×C4C22
socleC23×C33C23
prime radicalC23×D3×C3⋊D3C2
cosocleC22×C33C24
hypercenterC22×C4D3×C3⋊D3
hypocenterC33C22×C22⋊C4
LCSG ▷ C2×C33 ▷ C33
UCSC1 ◁ C23 ◁ C22×C4

Complements

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

NH ≅ G/Ntype
2. C22×C3×C4×C3⋊D3C2semidirect
3. C22×Dic3×C3⋊D3C2semidirect
4. C2×#88859C2semidirect
5. C2×C32×(C2×D3)⋊C4C2semidirect
6. C2×#88804C2semidirect
7. C2×(C2×D3)⋊(C3⋊Dic3)C2semidirect
8. C3⋊D3×(C2×D3)⋊C4C2direct (N × H)
16. C22×D3×C3⋊D3C4semidirect
18. C22×C33×C4C22semidirect
19. C22×C3⋊(C3⋊Dic3)C22semidirect
20. C22×C3×C3⋊Dic3C22semidirect
22. C2×C3×C4×C3⋊D3C22semidirect
23. C22×C32×Dic3C22semidirect
25. C2×Dic3×C3⋊D3C22semidirect
26. #88859C22semidirect
27. C32×(C2×D3)⋊C4C22semidirect
28. #88804C22semidirect
29. (C2×D3)⋊(C3⋊Dic3)C22semidirect
33. C22×C4×C3⋊D3D3semidirect
43. C2×C3×(C2×D3)⋊C4D3semidirect
50. C22×C3⋊(C3⋊D3)C2×C4semidirect
58. C22×C32×D3C2×C4semidirect
63. C2×D3×C3⋊D3C2×C4semidirect
65. C2×C33×C4C23semidirect
67. C2×C3⋊(C3⋊Dic3)C23semidirect
69. C2×C3×C3⋊Dic3C23semidirect
72. C2×C32×Dic3C23semidirect
93. C22×C32×C4C2×D3semidirect
94. C22×C32×C4C2×D3semidirect
98. C22×C3⋊Dic3C2×D3semidirect
102. C2×C4×C3⋊D3C2×D3semidirect
104. C22×C3×Dic3C2×D3semidirect
115. C3×(C2×D3)⋊C4C2×D3semidirect
125. C2×C3⋊(C3⋊D3)C22×C4semidirect
126. C2×C3×C3⋊D3C22⋊C4semidirect
133. C2×C32×D3C22×C4semidirect
154. C2×(C2×D3)⋊C4C3⋊D3direct (N × H)
189. C22×C3×D3C4×D3semidirect
201. C2×C32×C4C22×D3semidirect
202. C2×C32×C4C22×D3semidirect
210. C2×C3⋊Dic3C22×D3semidirect
216. C2×C3×Dic3C22×D3semidirect
220. C2×C33C2×C22⋊C4semidirect
225. C3×C3⋊D3C2×C22⋊C4semidirect
247. C22×C3×C4D32semidirect
248. C22×C3×C4C2×C3⋊D3semidirect
255. C22×Dic3C2×C3⋊D3semidirect
268. (C2×D3)⋊C4C2×C3⋊D3direct (N × H)
298. C2×C3⋊D3(C2×D3)⋊C4direct (N × H)
309. C2×C3×D3C2×C4×D3semidirect
329. C33C22×C22⋊C4semidirect
367. C22×D3C4×C3⋊D3semidirect
378. C2×C3×C4C2×D32semidirect
379. C2×C3×C4C22×C3⋊D3semidirect
390. C2×Dic3C22×C3⋊D3semidirect
398. C2×C32D3×C22⋊C4semidirect
399. C2×C32C2×(C2×D3)⋊C4semidirect
409. C3⋊D3C2×(C2×D3)⋊C4direct (N × H)
426. C22×C4D3×C3⋊D3semidirect
472. C2×D3C2×C4×C3⋊D3semidirect
484. C32C2×D3×C22⋊C4semidirect
485. C32C22×(C2×D3)⋊C4semidirect
512. C2×C4C2×D3×C3⋊D3semidirect
519. C2×C3D3×(C2×D3)⋊C4semidirect
520. C2×C3C22⋊C4×C3⋊D3semidirect
554. C3C2×D3×(C2×D3)⋊C4semidirect
555. C3C2×C22⋊C4×C3⋊D3semidirect
559. C2C3⋊D3×(C2×D3)⋊C4direct (N × H)

Maximal subgroups

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

subgroupindex
C23×D3×C3⋊D32
C22×C3×C4×C3⋊D32
C22×Dic3×C3⋊D32
C2×#888592
C2×C32×(C2×D3)⋊C42
C2×#888042
C2×(C2×D3)⋊(C3⋊Dic3)2
C3⋊D3×(C2×D3)⋊C42
C2×C22⋊C4×C3⋊D33
C2×D3×(C2×D3)⋊C43