Finite Group Databasebeta

← #11784736

Subgroups — #11784736

Order 1152.

1265 conjugacy classes of subgroups.

The subgroup lattice has 670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×D3×Q8C211yesmaximal, characteristic
2C2×#63662C211yesmaximal, characteristic, complemented
3C2×C3×#835C211yesmaximal, characteristic, complemented
4#10591313C211yesmaximal, characteristic
5C2×#63566C211yesmaximal, characteristic, complemented
6C2×#63565C211yesmaximal, characteristic, complemented
7C2×(C2×D3)⋊(C3⋊C8)C211yesmaximal, characteristic
8#72132—31nomaximal
9#70266—31nomaximal
10C22×C32×Q8C2211yescharacteristic
11C2×C3×D3×Q8—22no—
12C2×C3×D3×Q8—22no—
13C2×C3×D3×Q8—22no—
14C2×C3×D3×Q8—22no—
15C2×C3×D3×Q8—22no—
16C2×C3×D3×Q8C414yescomplemented
17C22×C3×C4×D3—21no—
18C22×C3×C4×D3C2211yescharacteristic
19C22×C3×Dic6—21no—
20C22×C3×Dic6C2211yescharacteristic
21C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
22C22×C3⋊(C3⋊C8)C2211yescharacteristic
23C2×C3×C4⋊Dic3C2211yescharacteristic
24C22×C3×C3⋊C8C2211yescharacteristic
25C2×(C2×D3)⋊Dic3—21no—
26#63662—22no—
27C3×#835—22no—
28#63579—21no—
29#63566—22no—
30#63565—22no—
31(C2×D3)⋊(C3⋊C8)—22no—
32C23×C3×Q8—31no—
33C22×D3×Q8D311yescharacteristic
34C2×C3×#103—31no—
35C2×#835—31no—
36C2×#835—31no—
37C2×#835—31no—
38C2×#835—31no—
39C2×#835—61no—
40C2×#835D311yescharacteristic, complemented
41#5212—31no—
42C2×#830—31no—
43C2×(C2×D3)⋊C8—31no—
44C2×#816—31no—
45#4987—31no—
46C2×#810—31no—
47C23×C3×D3D411yescharacteristic
48C2×C32×Q8—21no—
49C2×C32×Q8—21no—
50C2×C32×Q8—21no—
51C2×C32×Q8C2×C412yes—
52C2×C32×Q8D412yes—
53C2×C32×Q8D412yes—
54C22×C32×C4—21no—
55C22×C32×C4C2311yescharacteristic
56C22×C3⋊Dic3—21no—
57C22×C3×Dic3—21no—
58C22×C3×Dic3—21no—
59C22×C3×Dic3D411yescharacteristic
60C3×D3×Q8—28no—
61C3×D3×Q8—28no—
62C3×D3×Q8—28no—
63C3×D3×Q8—28no—
64C2×C3×C4×D3—24no—
65C2×C3×C4×D3—24no—
66C2×C3×C4×D3—24no—
67C2×C3×C4×D3—21no—
68C2×C3×C4×D3—21no—
69C2×C3×C4×D3—21no—
70C2×C3×C4×D3—21no—
71C2×C3×C4×D3C2×C412yes—
72C2×C3×C4×D3D412yes—
73C2×C3×Dic6—24no—
74C2×C3×Dic6—24no—
75C2×C3×Dic6—21no—
76C2×C3×Dic6—21no—
77C2×C3×Dic6—21no—
78C2×C3×Dic6—24no—
79C2×C3×Dic6C2×C412yes—
80C2×C3×Dic6D412yes—
81C2×C3×Dic6D412yes—
82C4⋊(C3⋊Dic3)—21no—
83C4⋊(C3⋊Dic3)—21no—
84C2×C3⋊(C3⋊C8)—21no—
85C2×C3⋊(C3⋊C8)—21no—
86C2×C3⋊(C3⋊C8)—21no—
87C3×C4⋊Dic3—21no—
88C3×C4⋊Dic3—21no—
89C2×C3×C3⋊C8—21no—
90C2×C3×C3⋊C8—21no—
91C2×C3×C3⋊C8—21no—
92(C2×D3)⋊Dic3—42no—
93#1787—91noSylow
94C22×C3×Q8—21no—
95C22×C3×Q8—34no—
96C22×C3×Q8—31no—
97C22×C3×Q8—61no—
98C22×C3×Q8—62no—
99C22×C3×Q8—62no—
100C22×C3×Q8—62no—
101C22×C3×Q8—62no—
102C22×C3×Q8—62no—
103C22×C3×Q8C2×D311yescharacteristic
104C22×C3×Q8C2×D311yescharacteristic
105C23×C3×C4—31no—
106C23×C3×C4—61no—
107C2×D3×Q8—22no—
108C2×D3×Q8—22no—
109C2×D3×Q8—22no—
110C2×D3×Q8—22no—
111C2×D3×Q8—22no—
112C2×D3×Q8Dic314yescomplemented
113C22×C4×D3—21no—
114C22×C4×D3C2×D311yescharacteristic
115C22×Dic6—21no—
116C22×Dic6C2×D311yescharacteristic
117C22×C3×C8—31no—
118C2×C3×C4⋊C4—31no—
119C2×#217—61no—
120C2×(C2×D3)⋊C4—61no—
121C2×C4⋊Dic3—31no—
122C2×C4⋊Dic3—31no—
123C2×C4⋊Dic3—61no—
124C2×C4⋊Dic3C2×D311yescharacteristic
125C22×C3⋊C8—31no—
126C22×C3⋊C8—31no—
127C22×C3⋊C8—61no—
128C22×C3⋊C8C2×D311yescharacteristic
129C3×#103—62no—
130#835—22no—
131#835—62no—
132#835—62no—
133#835—64no—
134#835—62no—
135#835—62no—
136C3⋊#95—61no—
137C3⋊#95—61no—
138#830—62no—
139(C2×D3)⋊C8—62no—
140#816—62no—
141#810—62no—
142C23×C32C2×D411yescharacteristic
143C22×C3×D3—21no—
144C22×C3×D3—21no—
145C22×C3×D3—21no—
146C22×C3×D3—21no—
147C22×C3×D3C22⋊C412yes—
148C22×C3×D3SD1612yes—
149C22×C3×D3Q1612yes—
150C32×Q8—22no—
151C32×Q8—22no—
152C32×Q8—22no—
153C32×Q8C22⋊C414yescomplemented
154C2×C32×C4—22no—
155C2×C32×C4—22no—
156C2×C32×C4—22no—
157C2×C32×C4C22×C411yescharacteristic
158C2×C32×C4C2×D411yescharacteristic
159C2×C32×C4C2×D411yescharacteristic
160C2×C32×C4C2×D411yescharacteristic
161C2×C32×C4C2×D411yescharacteristic
162C2×C32×C4C2×D411yescharacteristic
163C2×C3⋊Dic3—41no—
164C2×C3⋊Dic3—41no—
165C2×C3⋊Dic3—41no—
166C2×C3×Dic3—22no—
167C2×C3×Dic3—21no—
168C2×C3×Dic3—21no—
169C2×C3×Dic3—22no—
170C2×C3×Dic3—22no—
171C2×C3×Dic3—41no—
172C2×C3×Dic3—41no—
173C2×C3×Dic3—41no—
174C2×C3×Dic3C22⋊C412yes—
175C3×C4×D3—216no—
176C3×C4×D3—22no—
177C3×C4×D3—22no—
178C3×C4×D3—22no—
179C3×C4×D3—22no—
180C3×Dic6—216no—
181C3×Dic6—22no—
182C3×Dic6—22no—
183C3×Dic6—22no—
184C3×Dic6C22⋊C414yescomplemented
185C3⋊(C3⋊C8)—41no—
186C3×C3⋊C8—41no—
187C23×Q8—31no—
188C2×#103—31no—
189C2×#103—91no—
190C2×#103—91no—
191C2×#103—91no—
192C2×C22⋊C8—91no—
193#380—91no—
194C24×C3—31no—
195C23×D3#6711yescharacteristic
196C2×C3×Q8—21no—
197C2×C3×Q8—21no—
198C2×C3×Q8—21no—
199C2×C3×Q8—21no—
200C2×C3×Q8—21no—
201C2×C3×Q8—21no—
202C2×C3×Q8—22no—
203C2×C3×Q8—22no—
204C2×C3×Q8—22no—
205C2×C3×Q8—32no—
206C2×C3×Q8—32no—
207C2×C3×Q8—32no—
208C2×C3×Q8—41no—
209C2×C3×Q8—41no—
210C2×C3×Q8—41no—
211C2×C3×Q8—64no—
212C2×C3×Q8—64no—
213C2×C3×Q8—64no—
214C2×C3×Q8—68no—
215C2×C3×Q8—68no—
216C2×C3×Q8—68no—
217C2×C3×Q8—68no—
218C2×C3×Q8—61no—
219C2×C3×Q8—61no—
220C2×C3×Q8—61no—
221C2×C3×Q8C4×D312yes—
222C2×C3×Q8D1212yes—
223C2×C3×Q8C2×Dic312yes—
224C2×C3×Q8#6712yes—
225C2×C3×Q8#6712yes—
226C2×C3×Q8#6712yes—
227C22×C3×C4—21no—
228C22×C3×C4—21no—
229C22×C3×C4—21no—
230C22×C3×C4—31no—
231C22×C3×C4—32no—
232C22×C3×C4—32no—
233C22×C3×C4—41no—
234C22×C3×C4—64no—
235C22×C3×C4—64no—
236C22×C3×C4—64no—
237C22×C3×C4—61no—
238C22×C3×C4—61no—
239C22×C3×C4—61no—
240C22×C3×C4—61no—
241C22×C3×C4—61no—
242C22×C3×C4—61no—
243C22×C3×C4C22×D311yescharacteristic
244C22×C3×C4C22×D311yescharacteristic
245C22×Dic3—21no—
246C22×Dic3—21no—
247C22×Dic3—61no—
248C22×Dic3—61no—
249C22×Dic3—121no—
250C22×Dic3#6711yescharacteristic
251D3×Q8—28no—
252D3×Q8—28no—
253D3×Q8—28no—
254D3×Q8—28no—
255C2×C4×D3—24no—
256C2×C4×D3—24no—
257C2×C4×D3—24no—
258C2×C4×D3—21no—
259C2×C4×D3—21no—
260C2×C4×D3—21no—
261C2×C4×D3—21no—
262C2×C4×D3C2×Dic312yes—
263C2×C4×D3#6712yes—
264C2×Dic6—24no—
265C2×Dic6—24no—
266C2×Dic6—21no—
267C2×Dic6—21no—
268C2×Dic6—21no—
269C2×Dic6—24no—
270C2×Dic6C2×Dic312yes—
271C2×Dic6#6712yes—
272C2×Dic6#6712yes—
273C2×C3×C8—61no—
274C2×C3×C8—61no—
275C2×C3×C8—61no—
276C3×C4⋊C4—61no—
277C3×C4⋊C4—61no—
278#217—122no—
279(C2×D3)⋊C4—122no—
280C4⋊Dic3—21no—
281C4⋊Dic3—21no—
282C4⋊Dic3—62no—
283C4⋊Dic3—61no—
284C4⋊Dic3—61no—
285C4⋊Dic3—61no—
286C4⋊Dic3—61no—
287C4⋊Dic3—121no—
288C2×C3⋊C8—21no—
289C2×C3⋊C8—21no—
290C2×C3⋊C8—21no—
291C2×C3⋊C8—62no—
292C2×C3⋊C8—61no—
293C2×C3⋊C8—61no—
294C2×C3⋊C8—61no—
295C2×C3⋊C8—61no—
296C2×C3⋊C8—61no—
297C2×C3⋊C8—61no—
298C2×C3⋊C8—121no—
299C2×C3⋊C8—121no—
300C22×C32C2×C22⋊C411yescharacteristic
301C22×C32#12011yescharacteristic
302C22×C32#12011yescharacteristic
303C22×C32C2×SD1611yescharacteristic
304C22×C32C2×Q1611yescharacteristic
305C22×C32#13711yescharacteristic
306C22×C32#13711yescharacteristic
307C2×C3×D3—22no—
308C2×C3×D3—22no—
309C2×C3×D3—22no—
310C2×C3×D3—22no—
311C2×C3×D3—22no—
312C2×C3×D3—22no—
313C2×C3×D3#10314yescomplemented
314C32×C4—24no—
315C32×C4C2×C22⋊C411yescharacteristic
316C32×C4C2×C22⋊C411yescharacteristic
317C32×C4#12011yescharacteristic
318C32×C4#12011yescharacteristic
319C3⋊Dic3—81no—
320C3×Dic3—22no—
321C3×Dic3—24no—
322C3×Dic3—81no—
323C22×Q8—34no—
324C22×Q8—31no—
325C22×Q8—61no—
326C22×Q8—62no—
327C22×Q8—62no—
328C22×Q8—62no—
329C22×Q8—62no—
330C22×Q8—62no—
331C22×Q8D3211yescharacteristic
332C23×C4—31no—
333C23×C4—61no—
334C22×C8—31no—
335C22×C8—91no—
336C2×C4⋊C4—31no—
337C2×C4⋊C4—91no—
338C2×C22⋊C4—181no—
339#103—62no—
340#103—182no—
341#103—182no—
342#103—182no—
343C22⋊C8—182no—
344#95—181no—
345C23×C3—21no—
346C23×C3—32no—
347C23×C3—32no—
348C23×C3—32no—
349C23×C3—61no—
350C23×C3—61no—
351C23×C3—61no—
352C23×C3—61no—
353C23×C3D3×D411yescharacteristic
354C23×C3C2×#6711yescharacteristic
355C22×D3—21no—
356C22×D3—21no—
357C22×D3—21no—
358C22×D3—21no—
359C22×D3#21512yes—
360C22×D3#21612yes—
361C22×D3#21712yes—
362C3×Q8—22no—
363C3×Q8—22no—
364C3×Q8—22no—
365C3×Q8—22no—
366C3×Q8—22no—
367C3×Q8—22no—
368C3×Q8—24no—
369C3×Q8—34no—
370C3×Q8—42no—
371C3×Q8—42no—
372C3×Q8—42no—
373C3×Q8—616no—
374C3×Q8—62no—
375C3×Q8—62no—
376C3×Q8—62no—
377C3×Q8(C2×D3)⋊C414yescomplemented
378C3×Q8#21714yescomplemented
379C2×C3×C4—22no—
380C2×C3×C4—22no—
381C2×C3×C4—22no—
382C2×C3×C4—22no—
383C2×C3×C4—22no—
384C2×C3×C4—22no—
385C2×C3×C4—21no—
386C2×C3×C4—21no—
387C2×C3×C4—21no—
388C2×C3×C4—21no—
389C2×C3×C4—21no—
390C2×C3×C4—21no—
391C2×C3×C4—32no—
392C2×C3×C4—42no—
393C2×C3×C4—42no—
394C2×C3×C4—42no—
395C2×C3×C4—616no—
396C2×C3×C4—62no—
397C2×C3×C4—61no—
398C2×C3×C4—62no—
399C2×C3×C4—61no—
400C2×C3×C4—62no—
401C2×C3×C4—62no—
402C2×C3×C4—62no—
403C2×C3×C4—62no—
404C2×C3×C4—62no—
405C2×C3×C4—121no—
406C2×C3×C4—121no—
407C2×C3×C4—121no—
408C2×C3×C4C2×C4×D311yescharacteristic
409C2×C3×C4C2×D1211yescharacteristic
410C2×C3×C4D3×D411yescharacteristic
411C2×C3×C4D3×D411yescharacteristic
412C2×C3×C4D3×D411yescharacteristic
413C2×C3×C4C22×Dic311yescharacteristic
414C2×C3×C4C2×#6711yescharacteristic
415C2×C3×C4C2×#6711yescharacteristic
416C2×C3×C4C2×#6711yescharacteristic
417C2×C3×C4C2×#6711yescharacteristic
418C2×C3×C4C2×#6711yescharacteristic
419C2×C3×C4C2×#6711yescharacteristic
420C2×Dic3—22no—
421C2×Dic3—21no—
422C2×Dic3—21no—
423C2×Dic3—22no—
424C2×Dic3—22no—
425C2×Dic3—41no—
426C2×Dic3—41no—
427C2×Dic3—41no—
428C2×Dic3—122no—
429C2×Dic3—121no—
430C2×Dic3—121no—
431C2×Dic3—121no—
432C2×Dic3—121no—
433C2×Dic3—121no—
434C2×Dic3—121no—
435C2×Dic3—241no—
436C2×Dic3—241no—
437C2×Dic3#21712yes—
438C4×D3—216no—
439C4×D3—22no—
440C4×D3—22no—
441C4×D3—22no—
442C4×D3—22no—
443Dic6—216no—
444Dic6—22no—
445Dic6—22no—
446Dic6—22no—
447Dic6#21714yescomplemented
448C3×C8—121no—
449C3⋊C8—41no—
450C3⋊C8—122no—
451C3⋊C8—121no—
452C3⋊C8—121no—
453C2×C32#37911yescharacteristic
454C2×C32C2×#10311yescharacteristic
455C2×C32#41911yescharacteristic
456C2×C32#44811yescharacteristic
457C2×C32#44811yescharacteristic
458C2×C32#45111yescharacteristic
459C2×C32#45111yescharacteristic
460C3×D3—24no—
461C24—31no—
462C2×Q8—21no—
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8—32no—
466C2×Q8—32no—
467C2×Q8—32no—
468C2×Q8—64no—
469C2×Q8—64no—
470C2×Q8—64no—
471C2×Q8—68no—
472C2×Q8—68no—
473C2×Q8—68no—
474C2×Q8—68no—
475C2×Q8—61no—
476C2×Q8—61no—
477C2×Q8—61no—
478C2×Q8D3×Dic312yes—
479C2×Q8#62512yes—
480C2×Q8#62612yes—
481C22×C4—21no—
482C22×C4—31no—
483C22×C4—32no—
484C22×C4—32no—
485C22×C4—64no—
486C22×C4—64no—
487C22×C4—64no—
488C22×C4—61no—
489C22×C4—61no—
490C22×C4—61no—
491C22×C4—61no—
492C22×C4—61no—
493C22×C4—61no—
494C22×C4—181no—
495C22×C4C2×D3211yescharacteristic
496C2×C8—61no—
497C2×C8—61no—
498C2×C8—61no—
499C2×C8—181no—
500C2×C8—181no—
501C2×C8—181no—
502C4⋊C4—61no—
503C4⋊C4—61no—
504C4⋊C4—181no—
505C4⋊C4—181no—
506C22⋊C4—362no—
507C22×C3—21no—
508C22×C3—21no—
509C22×C3—21no—
510C22×C3—21no—
511C22×C3—21no—
512C22×C3—21no—
513C22×C3—21no—
514C22×C3—34no—
515C22×C3—62no—
516C22×C3—62no—
517C22×C3—62no—
518C22×C3—62no—
519C22×C3—62no—
520C22×C3—62no—
521C22×C3D3×C22⋊C411yescharacteristic
522C22×C3#88211yescharacteristic
523C22×C3D3×SD1611yescharacteristic
524C22×C3#91511yescharacteristic
525C22×C3D3×Q1611yescharacteristic
526C22×C3#91811yescharacteristic
527C22×C3#93711yescharacteristic
528C22×C3C2×#21511yescharacteristic
529C22×C3#94211yescharacteristic
530C22×C3#94211yescharacteristic
531C22×C3C2×#21611yescharacteristic
532C22×C3C2×#21711yescharacteristic
533C22×C3#95311yescharacteristic
534C22×C3#95311yescharacteristic
535C2×D3—22no—
536C2×D3—22no—
537C2×D3—22no—
538C2×D3—22no—
539C2×D3—22no—
540C2×D3—22no—
541C2×D3#83514yescomplemented
542C3×C4—24no—
543C3×C4—24no—
544C3×C4—21no—
545C3×C4—21no—
546C3×C4—21no—
547C3×C4—21no—
548C3×C4—44no—
549C3×C4—62no—
550C3×C4—64no—
551C3×C4—241no—
552C3×C4D3×C22⋊C411yescharacteristic
553C3×C4#88211yescharacteristic
554C3×C4C2×(C2×D3)⋊C411yescharacteristic
555C3×C4#93711yescharacteristic
556C3×C4C2×#21711yescharacteristic
557C3×C4C2×#21711yescharacteristic
558C3×C4#95311yescharacteristic
559C3×C4#95311yescharacteristic
560Dic3—22no—
561Dic3—24no—
562Dic3—81no—
563Dic3—242no—
564Dic3—241no—
565Dic3—241no—
566C32#178711yescharacteristic, complemented, Sylow
567C23—32no—
568C23—32no—
569C23—32no—
570C23—61no—
571C23—61no—
572C23—61no—
573C23—61no—
574C23D3×#6711yescharacteristic
575Q8—22no—
576Q8—22no—
577Q8—22no—
578Q8—34no—
579Q8—616no—
580Q8—62no—
581Q8—62no—
582Q8—62no—
583Q8(C2×D3)⋊Dic314yescomplemented
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—32no—
588C2×C4—616no—
589C2×C4—62no—
590C2×C4—61no—
591C2×C4—62no—
592C2×C4—61no—
593C2×C4—62no—
594C2×C4—62no—
595C2×C4—62no—
596C2×C4—62no—
597C2×C4—62no—
598C2×C4—121no—
599C2×C4—121no—
600C2×C4—121no—
601C2×C4—361no—
602C2×C4—361no—
603C2×C4—361no—
604C2×C4C2×D3×Dic311yescharacteristic
605C2×C4C2×#62511yescharacteristic
606C2×C4C2×#62611yescharacteristic
607C2×C4D3×#6711yescharacteristic
608C2×C4D3×#6711yescharacteristic
609C2×C4D3×#6711yescharacteristic
610C8—121no—
611C8—361no—
612C2×C3—21no—
613C2×C3—21no—
614C2×C3—21no—
615C2×C3—21no—
616C2×C3—21no—
617C2×C3—21no—
618C2×C3—21no—
619C2×C3—64no—
620C2×C3D3×#10311yescharacteristic
621C2×C3#480211yescharacteristic
622C2×C3#480611yescharacteristic
623C2×C3#480911yescharacteristic
624C2×C3#495511yescharacteristic
625C2×C3#517011yescharacteristic
626C2×C3#518611yescharacteristic
627C2×C3C2×#83511yescharacteristic
628C2×C3#522511yescharacteristic
629C2×C3#522711yescharacteristic
630C2×C3#522711yescharacteristic
631C2×C3#522811yescharacteristic
632C2×C3#522811yescharacteristic
633C2×C3#524711yescharacteristic
634D3—24no—
635C22—34no—
636C22—62no—
637C22—62no—
638C22—62no—
639C22—62no—
640C22—62no—
641C22—62no—
642C22D3×#21511yescharacteristic
643C22D3×#21611yescharacteristic
644C22#6394611yescharacteristic
645C22#6394811yescharacteristic
646C22D3×#21711yescharacteristic
647C22#6397611yescharacteristic
648C22#6397711yescharacteristic
649C4—24no—
650C4—62no—
651C4—64no—
652C4—241no—
653C4—721no—
654C4C2×(C2×D3)⋊Dic311yescharacteristic
655C4D3×#21711yescharacteristic
656C4#6397611yescharacteristic
657C4#6397711yescharacteristic
658C3—21no—
659C3#7026611yescharacteristic, complemented
660C3#7213211yescharacteristic, complemented
661C2—64no—
662C2D3×#83511yescharacteristic
663C2#1059155711yescharacteristic
664C2#1059158311yescharacteristic
665C2#1059158411yescharacteristic
666C2#1059159411yescharacteristic
667C2#1059159511yescharacteristic
668C2#1059170611yescharacteristic
subgroupG/H
centerC23D3×#67
commutatorC2×C32×C4C22×C4
FrattiniC22×C4C2×D32
FittingC22×C32×Q8C22
socleC23×C32C2×D4
prime radicalC23×C3×D3D4
cosocleC22×C32×C4C23
hypercenterC22×Q8D32
hypocenterC32#1787
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C23 ◁ C22×C4 ◁ C22×Q8

Complements

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

NH ≅ G/Ntype
2. C2×#63662C2semidirect
3. C2×C3×#835C2semidirect
5. C2×#63566C2semidirect
6. C2×#63565C2semidirect
16. C2×C3×D3×Q8C4semidirect
40. C2×#835D3semidirect
112. C2×D3×Q8Dic3semidirect
153. C32×Q8C22⋊C4semidirect
184. C3×Dic6C22⋊C4semidirect
313. C2×C3×D3#103semidirect
377. C3×Q8(C2×D3)⋊C4semidirect
378. C3×Q8#217semidirect
447. Dic6#217semidirect
541. C2×D3#835semidirect
566. C32#1787semidirect
583. Q8(C2×D3)⋊Dic3semidirect
659. C3#70266semidirect
660. C3#72132semidirect

Maximal subgroups

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

subgroupindex
C22×C3×D3×Q82
C2×#636622
C2×C3×#8352
#105913132
C2×#635662
C2×#635652
C2×(C2×D3)⋊(C3⋊C8)2
#721323
#702663