Finite Group Databasebeta

← C2×C3×#63871 #13174402

Subgroups — C2×C3×#63871 #13174402

Order 1728.

1826 conjugacy classes of subgroups.

The subgroup lattice has 592 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×C4×C3⋊D3C211yesmaximal, characteristic
2C22×C32×Dic6C211yesmaximal, characteristic, complemented
3C2×C32×C4⋊Dic3C211yesmaximal, characteristic, complemented
4C2×C3×Dic3⋊Dic3C212yesmaximal, complemented
5C2×C3×#3722C212yesmaximal
6C3×#63871C218yesmaximal, direct product factor
7C2×C3×#946—31nomaximal
8C2×C3×#897—31nomaximal
9C2×#63871C311yesmaximal, characteristic, direct product factor
10C23×C3×C3⋊D3C2211yescharacteristic
11C22×C33×C4C2211yescharacteristic
12C22×C3×C3⋊Dic3C2211yescharacteristic
13C2×C3×C4×C3⋊D3—24no—
14C2×C3×C4×C3⋊D3C2214yes—
15C22×C32×Dic3C2212yes—
16C22×C32×Dic3C2212yes—
17C2×C32×Dic6—24no—
18C2×C32×Dic6C2214yescomplemented
19C32×C4⋊Dic3C2214yescomplemented
20C3×Dic3⋊Dic3C2218yescomplemented
21C3×#3722C2218yes—
22C22×C32×Q8—31no—
23C22×C4×C3⋊D3C2×C311yescharacteristic
24C22×C3×C4×D3—31no—
25C22×C3×C4×D3—31no—
26C22×C3×C4×D3—61no—
27C22×C3×Dic6—21no—
28C22×C3×Dic6D311yescharacteristic, complemented
29C22×C3×Dic6C2×C311yescharacteristic, complemented
30C2×C32×C4⋊C4—31no—
31C3×#946—38no—
32C2×C3×(C2×D3)⋊C4—32no—
33C2×C3×(C2×D3)⋊C4—32no—
34C2×C3×C4⋊Dic3—21no—
35C2×C3×C4⋊Dic3—32no—
36C2×C3×C4⋊Dic3D311yescharacteristic, complemented
37C2×C3×C4⋊Dic3C2×C311yescharacteristic, complemented
38C2×C3×Dic3⋊C4—32no—
39C3×#897—38no—
40C2×Dic3⋊Dic3C2×C312yescomplemented
41C2×#3722C2×C312yes—
42#63871C2×C318yesdirect product factor
43C23×C33C2311yescharacteristic
44C22×C3×C3⋊D3—22no—
45C22×C3×C3⋊D3—22no—
46C22×C3×C3⋊D3Q814yescomplemented
47C22×C3×C3⋊D3C2312yes—
48C2×C33×C4D414yes—
49C2×C33×C4C2312yes—
50C2×C3×C3⋊Dic3—22no—
51C2×C3×C3⋊Dic3C2312yes—
52C3×C4×C3⋊D3—28no—
53C2×C32×Dic3—24no—
54C2×C32×Dic3—24no—
55C2×C32×Dic3C2314yes—
56C2×C32×Dic3C2314yes—
57C32×Dic6—28no—
58C2×C3×C22⋊Q8—91no—
59C2×#946—31no—
60C2×#897—31no—
61C23×C3⋊D3C22×C311yescharacteristic
62C23×C3×D3—31no—
63C23×C3×D3—31no—
64C23×C3×D3—61no—
65C2×C32×Q8—34no—
66C2×C32×Q8—64no—
67C22×C32×C4—21no—
68C22×C32×C4—21no—
69C22×C32×C4—21no—
70C22×C32×C4—32no—
71C22×C32×C4—32no—
72C22×C32×C4—41no—
73C22×C32×C4C2×D311yescharacteristic
74C22×C32×C4C2×D311yescharacteristic
75C22×C32×C4C22×C311yescharacteristic
76C22×C3⋊Dic3C22×C311yescharacteristic
77C2×C4×C3⋊D3—24no—
78C2×C4×C3⋊D3C22×C314yes—
79C22×C3×Dic3—22no—
80C22×C3×Dic3—22no—
81C22×C3×Dic3—31no—
82C22×C3×Dic3—31no—
83C22×C3×Dic3—61no—
84C22×C3×Dic3C2×D312yes—
85C22×C3×Dic3C2×D312yes—
86C22×C3×Dic3C22×C312yes—
87C22×C3×Dic3C22×C312yes—
88C2×C3×C4×D3—34no—
89C2×C3×C4×D3—34no—
90C2×C3×C4×D3—64no—
91C2×C3×C4×D3—68no—
92C2×C3×C4×D3—64no—
93C2×C3×C4×D3—64no—
94C2×C3×Dic6—28no—
95C2×C3×Dic6—24no—
96C2×C3×Dic6—24no—
97C2×C3×Dic6—24no—
98C2×C3×Dic6C2×D314yescomplemented
99C2×C3×Dic6C22×C314yescomplemented
100C32×C4⋊C4—34no—
101C3×(C2×D3)⋊C4—38no—
102C3×(C2×D3)⋊C4—38no—
103C3×C4⋊Dic3—24no—
104C3×C4⋊Dic3—38no—
105C3×C4⋊Dic3C2×D314yescomplemented
106C3×C4⋊Dic3C22×C314yescomplemented
107C3×Dic3⋊C4—38no—
108Dic3⋊Dic3C22×C318yescomplemented
109#3722C22×C318yes—
110C22×C33C2×D412yes—
111C22×C33C2×Q812yes—
112C22×C33#4112yes—
113C22×C33C2411yescharacteristic
114C2×C3×C3⋊D3—28no—
115C2×C3×C3⋊D3—22no—
116C2×C3×C3⋊D3—22no—
117C2×C3×C3⋊D3C2×Q814yescomplemented
118C33×C4C2×D414yes—
119C3×C3⋊Dic3—22no—
120C32×Dic3—24no—
121C32×Dic3—24no—
122C22×C3×Q8—31no—
123C22×C3×Q8—31no—
124C22×C3×Q8—61no—
125C23×C3×C4—91no—
126C22×C4×D3—31no—
127C22×C4×D3—31no—
128C22×C4×D3—61no—
129C22×Dic6C3×D311yescharacteristic, complemented
130C3×C22⋊Q8—98no—
131C2×C3×C4⋊C4—31no—
132C2×C3×C4⋊C4—31no—
133C2×C3×C4⋊C4—61no—
134C2×C3×C4⋊C4—92no—
135C2×C3×C22⋊C4—92no—
136#946—38no—
137C2×(C2×D3)⋊C4—32no—
138C2×(C2×D3)⋊C4—32no—
139C2×C4⋊Dic3—32no—
140C2×C4⋊Dic3C3×D311yescharacteristic, complemented
141C2×Dic3⋊C4—32no—
142#897—38no—
143C23×C32—21no—
144C23×C32—21no—
145C23×C32—21no—
146C23×C32—41no—
147C23×C32C22×D311yescharacteristic
148C23×C32C22×D311yescharacteristic
149C23×C32C23×C311yescharacteristic
150C22×C3⋊D3—22no—
151C22×C3⋊D3—22no—
152C22×C3⋊D3C3×Q814yescomplemented
153C22×C3⋊D3C23×C312yes—
154C22×C3×D3—34no—
155C22×C3×D3—34no—
156C22×C3×D3—32no—
157C22×C3×D3—32no—
158C22×C3×D3—64no—
159C22×C3×D3—62no—
160C22×C3×D3—64no—
161C22×C3×D3—64no—
162C22×C3×D3—62no—
163C22×C3×D3—62no—
164C22×C3×D3—62no—
165C22×C3×D3—62no—
166C32×Q8—68no—
167C2×C32×C4—24no—
168C2×C32×C4—24no—
169C2×C32×C4—24no—
170C2×C32×C4—22no—
171C2×C32×C4—22no—
172C2×C32×C4—22no—
173C2×C32×C4—34no—
174C2×C32×C4—34no—
175C2×C32×C4—44no—
176C2×C32×C4—42no—
177C2×C32×C4—64no—
178C2×C32×C4—64no—
179C2×C32×C4D1214yes—
180C2×C32×C4#6714yes—
181C2×C32×C4C3×D414yes—
182C2×C32×C4C22×D312yes—
183C2×C32×C4C22×D312yes—
184C2×C32×C4C23×C312yes—
185C2×C3⋊Dic3—22no—
186C2×C3⋊Dic3C23×C312yes—
187C4×C3⋊D3—28no—
188C2×C3×Dic3—28no—
189C2×C3×Dic3—24no—
190C2×C3×Dic3—24no—
191C2×C3×Dic3—24no—
192C2×C3×Dic3—24no—
193C2×C3×Dic3—24no—
194C2×C3×Dic3—24no—
195C2×C3×Dic3—32no—
196C2×C3×Dic3—32no—
197C2×C3×Dic3—44no—
198C2×C3×Dic3—62no—
199C2×C3×Dic3—64no—
200C2×C3×Dic3—62no—
201C2×C3×Dic3—62no—
202C2×C3×Dic3C22×D314yes—
203C2×C3×Dic3C22×D314yes—
204C2×C3×Dic3C23×C314yes—
205C2×C3×Dic3C23×C314yes—
206C3×C4×D3—616no—
207C3×C4×D3—68no—
208C3×C4×D3—68no—
209C3×Dic6—216no—
210C3×Dic6—28no—
211C3×Dic6—28no—
212C2×C22⋊Q8—91noSylow
213C2×C33C22⋊Q814yescomplemented
214C2×C33C22×D411yescharacteristic
215C2×C33C22×Q811yescharacteristic
216C2×C33C2×#4111yescharacteristic
217C3×C3⋊D3—24no—
218C24×C3—91no—
219C23×D3—31no—
220C23×D3—31no—
221C23×D3—61no—
222C2×C3×Q8—34no—
223C2×C3×Q8—34no—
224C2×C3×Q8—64no—
225C2×C3×Q8—68no—
226C2×C3×Q8—64no—
227C2×C3×Q8—64no—
228C22×C3×C4—21no—
229C22×C3×C4—21no—
230C22×C3×C4—21no—
231C22×C3×C4—32no—
232C22×C3×C4—32no—
233C22×C3×C4—32no—
234C22×C3×C4—32no—
235C22×C3×C4—41no—
236C22×C3×C4—62no—
237C22×C3×C4—62no—
238C22×C3×C4—91no—
239C22×C3×C4—94no—
240C22×C3×C4—184no—
241C22×C3×C4D3211yescharacteristic
242C22×C3×C4C2×C3×D311yescharacteristic
243C22×C3×C4C2×C3×D311yescharacteristic
244C22×Dic3—31no—
245C22×Dic3—31no—
246C22×Dic3—61no—
247C22×Dic3C2×C3×D312yes—
248C22×Dic3C2×C3×D312yes—
249C2×C4×D3—34no—
250C2×C4×D3—34no—
251C2×C4×D3—64no—
252C2×C4×D3—68no—
253C2×C4×D3—64no—
254C2×C4×D3—64no—
255C2×Dic6—24no—
256C2×Dic6C2×C3×D314yescomplemented
257C3×C4⋊C4—34no—
258C3×C4⋊C4—34no—
259C3×C4⋊C4—64no—
260C3×C4⋊C4—98no—
261C3×C22⋊C4—98no—
262(C2×D3)⋊C4—38no—
263(C2×D3)⋊C4—38no—
264C4⋊Dic3—38no—
265C4⋊Dic3C2×C3×D314yescomplemented
266Dic3⋊C4—38no—
267C22×C32—21no—
268C22×C32—21no—
269C22×C32—21no—
270C22×C32—22no—
271C22×C32—22no—
272C22×C32—22no—
273C22×C32—22no—
274C22×C32—22no—
275C22×C32—22no—
276C22×C32—22no—
277C22×C32—22no—
278C22×C32—22no—
279C22×C32—42no—
280C22×C32—42no—
281C22×C32—42no—
282C22×C32—41no—
283C22×C32C2×D1212yes—
284C22×C32#23712yes—
285C22×C32D3×Q812yes—
286C22×C32D3×Q812yes—
287C22×C32#23912yes—
288C22×C32C2×#6712yes—
289C22×C32C2×C3×D412yes—
290C22×C32C2×C3×Q812yes—
291C22×C32C3×#4112yes—
292C22×C32C23×D311yescharacteristic
293C22×C32C23×D311yescharacteristic
294C22×C32C24×C311yescharacteristic
295C2×C3⋊D3—28no—
296C2×C3⋊D3—22no—
297C2×C3⋊D3—22no—
298C2×C3⋊D3C2×C3×Q814yescomplemented
299C2×C3×D3—34no—
300C2×C3×D3—34no—
301C2×C3×D3—64no—
302C2×C3×D3—64no—
303C2×C3×D3—64no—
304C2×C3×D3—616no—
305C2×C3×D3—68no—
306C2×C3×D3—68no—
307C2×C3×D3—62no—
308C2×C3×D3—62no—
309C2×C3×D3—62no—
310C2×C3×D3—62no—
311C32×C4—24no—
312C32×C4—24no—
313C32×C4—24no—
314C32×C4—44no—
315C32×C4—64no—
316C32×C4—64no—
317C32×C4C2×D1214yes—
318C32×C4C2×#6714yes—
319C32×C4C2×C3×D414yes—
320C3⋊Dic3—22no—
321C3×Dic3—28no—
322C3×Dic3—24no—
323C3×Dic3—24no—
324C3×Dic3—24no—
325C3×Dic3—24no—
326C3×Dic3—44no—
327C3×Dic3—64no—
328C3×Dic3—62no—
329C3×Dic3—62no—
330C22×Q8—31no—
331C23×C4—91no—
332C22⋊Q8—98no—
333C2×C4⋊C4—31no—
334C2×C4⋊C4—92no—
335C2×C22⋊C4—92no—
336C33C2×C22⋊Q811yescharacteristic, complemented, Sylow
337C23×C3—21no—
338C23×C3—21no—
339C23×C3—21no—
340C23×C3—41no—
341C23×C3—92no—
342C23×C3—94no—
343C23×C3—182no—
344C23×C3—182no—
345C23×C3C2×D3211yescharacteristic
346C23×C3C22×C3×D311yescharacteristic
347C23×C3C22×C3×D311yescharacteristic
348C22×D3—32no—
349C22×D3—32no—
350C22×D3—34no—
351C22×D3—34no—
352C22×D3—64no—
353C22×D3—62no—
354C22×D3—64no—
355C22×D3—64no—
356C22×D3—62no—
357C22×D3—62no—
358C22×D3—62no—
359C22×D3—62no—
360C3×Q8—616no—
361C3×Q8—68no—
362C3×Q8—68no—
363C2×C3×C4—24no—
364C2×C3×C4—24no—
365C2×C3×C4—24no—
366C2×C3×C4—22no—
367C2×C3×C4—22no—
368C2×C3×C4—22no—
369C2×C3×C4—34no—
370C2×C3×C4—34no—
371C2×C3×C4—34no—
372C2×C3×C4—34no—
373C2×C3×C4—44no—
374C2×C3×C4—42no—
375C2×C3×C4—64no—
376C2×C3×C4—64no—
377C2×C3×C4—68no—
378C2×C3×C4—64no—
379C2×C3×C4—64no—
380C2×C3×C4—64no—
381C2×C3×C4—64no—
382C2×C3×C4—92no—
383C2×C3×C4—124no—
384C2×C3×C4—182no—
385C2×C3×C4—188no—
386C2×C3×C4#62614yes—
387C2×C3×C4C3×D1214yes—
388C2×C3×C4C3×#6714yes—
389C2×C3×C4C2×D3212yes—
390C2×C3×C4C22×C3×D312yes—
391C2×C3×C4C22×C3×D312yes—
392C2×Dic3—24no—
393C2×Dic3—24no—
394C2×Dic3—32no—
395C2×Dic3—32no—
396C2×Dic3—62no—
397C2×Dic3—64no—
398C2×Dic3—62no—
399C2×Dic3—62no—
400C2×Dic3C22×C3×D314yes—
401C2×Dic3C22×C3×D314yes—
402C4×D3—616no—
403C4×D3—68no—
404C4×D3—68no—
405Dic6—28no—
406C2×C32—24no—
407C2×C32—21no—
408C2×C32—21no—
409C2×C32—24no—
410C2×C32—21no—
411C2×C32—21no—
412C2×C32—21no—
413C2×C32—21no—
414C2×C32—21no—
415C2×C32—21no—
416C2×C32—21no—
417C2×C32—24no—
418C2×C32—44no—
419C2×C32—41no—
420C2×C32—41no—
421C2×C32—41no—
422C2×C32#89714yescomplemented
423C2×C32#94614yescomplemented
424C2×C32C3×C22⋊Q814yescomplemented
425C2×C32C22×D1211yescharacteristic
426C2×C32C2×#23711yescharacteristic
427C2×C32C2×D3×Q811yescharacteristic
428C2×C32C2×D3×Q811yescharacteristic
429C2×C32C2×#23911yescharacteristic
430C2×C32C22×#6711yescharacteristic
431C2×C32C22×C3×D411yescharacteristic
432C2×C32C22×C3×Q811yescharacteristic
433C2×C32C2×C3×#4111yescharacteristic
434C3⋊D3—24no—
435C3×D3—68no—
436C3×D3—64no—
437C3×D3—64no—
438C24—91no—
439C2×Q8—34no—
440C2×Q8—64no—
441C22×C4—32no—
442C22×C4—32no—
443C22×C4—91no—
444C22×C4—94no—
445C22×C4—184no—
446C22×C4C3×D3211yescharacteristic
447C4⋊C4—34no—
448C4⋊C4—98no—
449C22⋊C4—98no—
450C22×C3—21no—
451C22×C3—21no—
452C22×C3—21no—
453C22×C3—22no—
454C22×C3—22no—
455C22×C3—22no—
456C22×C3—22no—
457C22×C3—22no—
458C22×C3—22no—
459C22×C3—22no—
460C22×C3—22no—
461C22×C3—22no—
462C22×C3—41no—
463C22×C3—42no—
464C22×C3—42no—
465C22×C3—42no—
466C22×C3—94no—
467C22×C3—182no—
468C22×C3—182no—
469C22×C3—188no—
470C22×C3#379612yes—
471C22×C3#379712yes—
472C22×C3C2×#62612yes—
473C22×C3C2×C3×D1212yes—
474C22×C3C3×#23712yes—
475C22×C3C3×D3×Q812yes—
476C22×C3C3×D3×Q812yes—
477C22×C3C3×#23912yes—
478C22×C3C2×C3×#6712yes—
479C22×C3C22×D3211yescharacteristic
480C22×C3C23×C3×D311yescharacteristic
481C22×C3C23×C3×D311yescharacteristic
482C2×D3—34no—
483C2×D3—34no—
484C2×D3—64no—
485C2×D3—64no—
486C2×D3—616no—
487C2×D3—64no—
488C2×D3—68no—
489C2×D3—68no—
490C2×D3—62no—
491C2×D3—62no—
492C2×D3—62no—
493C2×D3—62no—
494C3×C4—24no—
495C3×C4—24no—
496C3×C4—24no—
497C3×C4—44no—
498C3×C4—68no—
499C3×C4—64no—
500C3×C4—64no—
501C3×C4—64no—
502C3×C4—64no—
503C3×C4—124no—
504C3×C4—182no—
505C3×C4C2×#62614yes—
506C3×C4C2×C3×D1214yes—
507C3×C4C2×C3×#6714yes—
508Dic3—24no—
509Dic3—24no—
510Dic3—64no—
511Dic3—62no—
512Dic3—62no—
513C32—21no—
514C32—21no—
515C32—21no—
516C32—41no—
517C32C2×#89711yescharacteristic, complemented
518C32C2×#94611yescharacteristic, complemented
519C32C2×C3×C22⋊Q811yescharacteristic, complemented
520C23—92no—
521C23—94no—
522C23—182no—
523C23—182no—
524C23C2×C3×D3211yescharacteristic
525Q8—68no—
526C2×C4—34no—
527C2×C4—34no—
528C2×C4—64no—
529C2×C4—64no—
530C2×C4—92no—
531C2×C4—182no—
532C2×C4—188no—
533C2×C4C3×#62614yes—
534C2×C4C2×C3×D3212yes—
535C2×C3—21no—
536C2×C3—21no—
537C2×C3—21no—
538C2×C3—24no—
539C2×C3—24no—
540C2×C3—24no—
541C2×C3—21no—
542C2×C3—21no—
543C2×C3—21no—
544C2×C3—21no—
545C2×C3—21no—
546C2×C3—21no—
547C2×C3—41no—
548C2×C3—44no—
549C2×C3—41no—
550C2×C3—41no—
551C2×C3—184no—
552C2×C3#6387114yesdirect product factor
553C2×C3C3×#89714yescomplemented
554C2×C3C3×#94614yescomplemented
555C2×C3C2×#379611yescharacteristic
556C2×C3C2×#379711yescharacteristic
557C2×C3C22×#62611yescharacteristic
558C2×C3C22×C3×D1211yescharacteristic
559C2×C3C2×C3×#23711yescharacteristic
560C2×C3C2×C3×D3×Q811yescharacteristic
561C2×C3C2×C3×D3×Q811yescharacteristic
562C2×C3C2×C3×#23911yescharacteristic
563C2×C3C22×C3×#6711yescharacteristic
564D3—68no—
565D3—64no—
566D3—64no—
567C22—94no—
568C22—182no—
569C22—188no—
570C22—182no—
571C22C3×#379612yes—
572C22C3×#379712yes—
573C22C2×C3×#62612yes—
574C22C22×C3×D3211yescharacteristic
575C4—64no—
576C4—64no—
577C4—182no—
578C4C2×C3×#62614yes—
579C3—21no—
580C3—21no—
581C3—21no—
582C3—41no—
583C3C2×#6387111yescharacteristic, direct product factor
584C3C2×C3×#89711yescharacteristic, complemented
585C3C2×C3×#94611yescharacteristic, complemented
586C2—184no—
587C2C3×#6387114yesdirect product factor
588C2C2×C3×#379611yescharacteristic
589C2C2×C3×#379711yescharacteristic
590C2C22×C3×#62611yescharacteristic
subgroupG/H
centerC23×C3C2×D32
commutator, cosocleC22×C32C24×C3
FrattiniC22C22×C3×D32
FittingC22×C33×C4C22
socleC23×C33C23
prime radicalC23×C3×C3⋊D3C22
hypercenterC22×C3×C4D32
hypocenterC32C2×C3×C22⋊Q8
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23×C3 ◁ C22×C3×C4

Complements

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

NH ≅ G/Ntype
2. C22×C32×Dic6C2semidirect
3. C2×C32×C4⋊Dic3C2semidirect
4. C2×C3×Dic3⋊Dic3C2semidirect
6. C3×#63871C2direct (N × H)
9. C2×#63871C3direct (N × H)
18. C2×C32×Dic6C22semidirect
19. C32×C4⋊Dic3C22semidirect
20. C3×Dic3⋊Dic3C22semidirect
28. C22×C3×Dic6D3semidirect
29. C22×C3×Dic6C2×C3semidirect
36. C2×C3×C4⋊Dic3D3semidirect
37. C2×C3×C4⋊Dic3C2×C3semidirect
40. C2×Dic3⋊Dic3C2×C3semidirect
42. #63871C2×C3direct (N × H)
46. C22×C3×C3⋊D3Q8semidirect
98. C2×C3×Dic6C2×D3semidirect
99. C2×C3×Dic6C22×C3semidirect
105. C3×C4⋊Dic3C2×D3semidirect
106. C3×C4⋊Dic3C22×C3semidirect
108. Dic3⋊Dic3C22×C3semidirect
117. C2×C3×C3⋊D3C2×Q8semidirect
129. C22×Dic6C3×D3semidirect
140. C2×C4⋊Dic3C3×D3semidirect
152. C22×C3⋊D3C3×Q8semidirect
213. C2×C33C22⋊Q8semidirect
256. C2×Dic6C2×C3×D3semidirect
265. C4⋊Dic3C2×C3×D3semidirect
298. C2×C3⋊D3C2×C3×Q8semidirect
336. C33C2×C22⋊Q8semidirect
422. C2×C32#897semidirect
423. C2×C32#946semidirect
424. C2×C32C3×C22⋊Q8semidirect
517. C32C2×#897semidirect
518. C32C2×#946semidirect
519. C32C2×C3×C22⋊Q8semidirect
552. C2×C3#63871direct (N × H)
553. C2×C3C3×#897semidirect
554. C2×C3C3×#946semidirect
583. C3C2×#63871direct (N × H)
584. C3C2×C3×#897semidirect
585. C3C2×C3×#946semidirect
587. C2C3×#63871direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×C4×C3⋊D32
C22×C32×Dic62
C2×C32×C4⋊Dic32
C2×C3×Dic3⋊Dic32
C2×C3×#37222
C3×#638712
C2×C3×#9463
C2×C3×#8973
C2×#638713