Finite Group Databasebeta

← #11804895

Subgroups — #11804895

Order 1152.

1733 conjugacy classes of subgroups.

The subgroup lattice has 669 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×D3×Q8C211yesmaximal, characteristic
2C2×#63843C211yesmaximal, characteristic, complemented
3C2×Dic3×Dic6C211yesmaximal, characteristic, complemented
4#10592928C211yesmaximal, characteristic, complemented
5C3×#5229C211yesmaximal, characteristic, complemented
6#10591313C211yesmaximal, characteristic
7#10591295C212yesmaximal
8C4×(C2×D3)⋊Dic3C211yesmaximal, characteristic
9#10591261C212yesmaximal, complemented
10#10591261C212yesmaximal, complemented
11#10591237C212yesmaximal
12Q8×#217—31nomaximal
13#76614—31nomaximal
14C22×C32×Q8C2211yescharacteristic
15C2×C3×D3×Q8—24no—
16C2×C3×D3×Q8—24no—
17C2×C3×D3×Q8C418yescomplemented
18C22×C3×C4×D3C2212yes—
19C22×C3×C4×D3C2211yescharacteristic
20C22×C3×Dic6C2212yes—
21C22×C3×Dic6C2211yescharacteristic
22C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
23C2×C4×C3⋊Dic3C2211yescharacteristic
24C2×C3×C4⋊Dic3C2211yescharacteristic
25C2×C3×C4×Dic3C2211yescharacteristic
26C2×Dic3⋊Dic3C2212yes—
27C2×Dic3⋊Dic3C2212yes—
28C2×(C2×D3)⋊Dic3C2212yes—
29C2×(C2×D3)⋊Dic3C2211yescharacteristic
30C2×(C2×D3)⋊Dic3C2211yescharacteristic
31C2×Dic32C2212yes—
32C2×Dic32C2212yes—
33#63843—24no—
34Dic3×Dic6—24no—
35#63658C2212yes—
36#63658C2212yes—
37C3×C3⋊#95C2212yes—
38C3×C3⋊#95C2212yes—
39#63579C2211yescharacteristic
40#63579C2211yescharacteristic
41#63579C2212yes—
42C23×C3×Q8—31no—
43C22×D3×Q8D311yescharacteristic
44C2×Q8×Dic3—31no—
45C2×Q8×Dic3—31no—
46C2×#887—31no—
47C2×C4×Dic6—31no—
48C3×#391—31no—
49#5229—31no—
50#5229—31no—
51#5229—32no—
52#5229—32no—
53#5229—61no—
54#5229D311yescharacteristic, complemented
55#5212—31no—
56#5212—32no—
57C4×#217—31no—
58C4×#217—32no—
59#4987—31no—
60C4×(C2×D3)⋊C4—31no—
61#4667—32no—
62#4666—32no—
63#4646—32no—
64#4646—32no—
65C23×C3×D3C2311yescharacteristic
66C2×C32×Q8—22no—
67C2×C32×Q8—22no—
68C2×C32×Q8C2×C414yes—
69C22×C32×C4C2312yes—
70C22×C32×C4C2311yescharacteristic
71C22×C3⋊Dic3C2311yescharacteristic
72C22×C3⋊Dic3C2312yes—
73C22×C3⋊Dic3C2311yescharacteristic
74C22×C3×Dic3C2311yescharacteristic
75C22×C3×Dic3C2312yes—
76C22×C3×Dic3C2311yescharacteristic
77C22×C3×Dic3C2311yescharacteristic
78C22×C3×Dic3C2312yes—
79C3×D3×Q8—232no—
80C2×C3×C4×D3—22no—
81C2×C3×C4×D3—22no—
82C2×C3×C4×D3—24no—
83C2×C3×C4×D3—24no—
84C2×C3×C4×D3C2×C414yes—
85C2×C3×C4×D3C2×C418yes—
86C2×C3×Dic6—24no—
87C2×C3×Dic6—24no—
88C2×C3×Dic6C2×C418yes—
89C2×C3×Dic6C2×C414yes—
90C2×C3×Dic6D414yes—
91C2×C3×Dic6D414yes—
92C4⋊(C3⋊Dic3)—22no—
93C4×C3⋊Dic3—22no—
94C3×C4⋊Dic3—22no—
95C3×C4×Dic3—22no—
96Dic3⋊Dic3—24no—
97Dic3⋊Dic3—24no—
98(C2×D3)⋊Dic3—24no—
99(C2×D3)⋊Dic3—22no—
100(C2×D3)⋊Dic3Q814yescomplemented
101Dic32—24no—
102Dic32—24no—
103Q8×C22⋊C4—91noSylow
104C22×C3×Q8—21no—
105C22×C3×Q8—38no—
106C22×C3×Q8—31no—
107C22×C3×Q8—32no—
108C22×C3×Q8—64no—
109C22×C3×Q8—64no—
110C22×C3×Q8C2×D311yescharacteristic
111C22×C3×Q8C2×D311yescharacteristic
112C23×C3×C4—32no—
113C23×C3×C4—31no—
114C2×D3×Q8—24no—
115C2×D3×Q8—24no—
116C2×D3×Q8Dic318yescomplemented
117C22×C4×D3C2×D312yes—
118C22×C4×D3C2×D311yescharacteristic
119C22×Dic6C2×D312yes—
120C22×Dic6C2×D311yescharacteristic
121C2×C3×C4⋊C4—31no—
122C2×C3×C42—31no—
123C2×#217—31no—
124C2×#217—32no—
125C2×#217—31no—
126Q8×Dic3—64no—
127Q8×Dic3—64no—
128C2×(C2×D3)⋊C4—31no—
129C2×(C2×D3)⋊C4—32no—
130C2×(C2×D3)⋊C4—31no—
131C2×C4⋊Dic3—31no—
132C2×C4⋊Dic3—31no—
133C2×C4⋊Dic3—32no—
134C2×C4⋊Dic3—32no—
135C2×C4⋊Dic3—61no—
136C2×C4⋊Dic3C2×D311yescharacteristic
137C2×Dic3⋊C4—32no—
138C2×Dic3⋊C4—32no—
139C2×C4×Dic3—31no—
140C2×C4×Dic3—31no—
141C2×C4×Dic3—32no—
142C2×C4×Dic3—32no—
143C2×C4×Dic3—32no—
144C2×C4×Dic3—32no—
145C2×C4×Dic3—61no—
146C2×C4×Dic3C2×D311yescharacteristic
147#887—64no—
148C4×Dic6—64no—
149C3×#95—32no—
150C3×#95—32no—
151C3⋊#95—32no—
152C3⋊#95—32no—
153C3⋊#95—32no—
154C3⋊#95—32no—
155C3⋊#95—31no—
156C3⋊#95—31no—
157C3⋊#95—32no—
158C3⋊#95—31no—
159C3⋊#95—31no—
160C3⋊#95—32no—
161C3⋊#95—62no—
162C3⋊#95—62no—
163C3⋊#95C2×D312yes—
164C3⋊#95C2×D312yes—
165C23×C32C2411yescharacteristic
166C22×C3×D3—21no—
167C22×C3×D3—21no—
168C22×C3×D3—21no—
169C22×C3×D3—21no—
170C22×C3×D3C22×C412yes—
171C22×C3×D3C2×Q812yes—
172C22×C3×D3#4112yes—
173C32×Q8—28no—
174C2×C32×C4—22no—
175C2×C32×C4—22no—
176C2×C32×C4C22×C414yes—
177C2×C32×C4C22×C412yes—
178C2×C32×C4C2×D412yes—
179C2×C32×C4C2×D412yes—
180C2×C3⋊Dic3—21no—
181C2×C3⋊Dic3—21no—
182C2×C3⋊Dic3—21no—
183C2×C3⋊Dic3—22no—
184C2×C3⋊Dic3—21no—
185C2×C3⋊Dic3—21no—
186C2×C3⋊Dic3—22no—
187C2×C3⋊Dic3—22no—
188C2×C3⋊Dic3C2×Q812yescomplemented
189C2×C3×Dic3—21no—
190C2×C3×Dic3—21no—
191C2×C3×Dic3—21no—
192C2×C3×Dic3—21no—
193C2×C3×Dic3—22no—
194C2×C3×Dic3—21no—
195C2×C3×Dic3—21no—
196C2×C3×Dic3—22no—
197C2×C3×Dic3—21no—
198C2×C3×Dic3—22no—
199C2×C3×Dic3C22×C412yes—
200C2×C3×Dic3C22×C414yes—
201C2×C3×Dic3C2×D414yes—
202C2×C3×Dic3C2×D414yes—
203C2×C3×Dic3C2×Q812yescomplemented
204C3×C4×D3—28no—
205C3×C4×D3—216no—
206C3×Dic6—216no—
207C3×Dic6C22⋊C4116yescomplemented
208C23×Q8—31no—
209C2×C4×Q8—91no—
210C2×C4×Q8—91no—
211#391—31no—
212#391—92no—
213#391—92no—
214#391—91no—
215#380—92no—
216#380—91no—
217C4×C22⋊C4—92no—
218C4×C22⋊C4—91no—
219C24×C3—31no—
220C23×D3C22×D311yescharacteristic
221C2×C3×Q8—22no—
222C2×C3×Q8—22no—
223C2×C3×Q8—22no—
224C2×C3×Q8—22no—
225C2×C3×Q8—24no—
226C2×C3×Q8—34no—
227C2×C3×Q8—38no—
228C2×C3×Q8—34no—
229C2×C3×Q8—34no—
230C2×C3×Q8—42no—
231C2×C3×Q8—42no—
232C2×C3×Q8—64no—
233C2×C3×Q8—64no—
234C2×C3×Q8—632no—
235C2×C3×Q8C4×D314yes—
236C2×C3×Q8C2×Dic314yes—
237C22×C3×C4—21no—
238C22×C3×C4—22no—
239C22×C3×C4—32no—
240C22×C3×C4—31no—
241C22×C3×C4—31no—
242C22×C3×C4—38no—
243C22×C3×C4—34no—
244C22×C3×C4—32no—
245C22×C3×C4—31no—
246C22×C3×C4—64no—
247C22×C3×C4—64no—
248C22×C3×C4—62no—
249C22×C3×C4—62no—
250C22×C3×C4C22×D312yes—
251C22×C3×C4C22×D312yes—
252C22×C3×C4C22×D311yescharacteristic
253C22×C3×C4C22×D311yescharacteristic
254C22×Dic3—31no—
255C22×Dic3—31no—
256C22×Dic3—31no—
257C22×Dic3—32no—
258C22×Dic3—32no—
259C22×Dic3—31no—
260C22×Dic3—61no—
261C22×Dic3—61no—
262C22×Dic3—62no—
263C22×Dic3C22×D312yes—
264C22×Dic3C22×D311yescharacteristic
265C22×Dic3C22×D311yescharacteristic
266C22×Dic3C22×D311yescharacteristic
267C22×Dic3C22×D312yes—
268D3×Q8—232no—
269C2×C4×D3—22no—
270C2×C4×D3—22no—
271C2×C4×D3—24no—
272C2×C4×D3—24no—
273C2×C4×D3C2×Dic314yes—
274C2×C4×D3C2×Dic318yes—
275C2×Dic6—24no—
276C2×Dic6—24no—
277C2×Dic6C2×Dic318yes—
278C2×Dic6C2×Dic314yes—
279C2×Dic6#6714yes—
280C2×Dic6#6714yes—
281C3×C4⋊C4—62no—
282C3×C42—62no—
283#217—34no—
284#217—62no—
285#217—64no—
286(C2×D3)⋊C4—34no—
287(C2×D3)⋊C4—64no—
288(C2×D3)⋊C4—62no—
289C4⋊Dic3—22no—
290C4⋊Dic3—64no—
291C4⋊Dic3—64no—
292C4⋊Dic3—62no—
293C4⋊Dic3—62no—
294C4⋊Dic3—122no—
295Dic3⋊C4—64no—
296Dic3⋊C4—64no—
297C4×Dic3—22no—
298C4×Dic3—64no—
299C4×Dic3—64no—
300C4×Dic3—62no—
301C4×Dic3—62no—
302C4×Dic3—64no—
303C4×Dic3—64no—
304C4×Dic3—122no—
305C22×C32C23×C411yescharacteristic
306C22×C32C22×D411yescharacteristic
307C22×C32C22×D411yescharacteristic
308C22×C32C22×Q811yescharacteristic
309C22×C32C2×#4111yescharacteristic
310C22×C322−1+411yescharacteristic
311C22×C322−1+411yescharacteristic
312C2×C3×D3—22no—
313C2×C3×D3—22no—
314C2×C3×D3—22no—
315C2×C3×D3—22no—
316C2×C3×D3—22no—
317C2×C3×D3—22no—
318C2×C3×D3C4×Q814yescomplemented
319C32×C4—24no—
320C32×C4C2×C22⋊C414yes—
321C3⋊Dic3—22no—
322C3⋊Dic3—41no—
323C3⋊Dic3—42no—
324C3×Dic3—22no—
325C3×Dic3—22no—
326C3×Dic3—41no—
327C3×Dic3—42no—
328C3×Dic3C2×C22⋊C418yes—
329C22×Q8—38no—
330C22×Q8—31no—
331C22×Q8—32no—
332C22×Q8—64no—
333C22×Q8—64no—
334C22×Q8D3211yescharacteristic
335C23×C4—32no—
336C23×C4—31no—
337C4×Q8—184no—
338C4×Q8—184no—
339C2×C4⋊C4—31no—
340C2×C4⋊C4—92no—
341C2×C4⋊C4—92no—
342C2×C4⋊C4—91no—
343C2×C22⋊C4—91no—
344C2×C22⋊C4—91no—
345C2×C22⋊C4—92no—
346C2×C42—31no—
347C2×C42—92no—
348C2×C42—92no—
349C2×C42—91no—
350#95—32no—
351#95—32no—
352#95—91no—
353#95—91no—
354#95—92no—
355#95—92no—
356#95—92no—
357C23×C3—21no—
358C23×C3—32no—
359C23×C3—32no—
360C23×C3—32no—
361C23×C3—61no—
362C23×C3—61no—
363C23×C3—61no—
364C23×C3—61no—
365C23×C3C23×D311yescharacteristic
366C23×C3C23×D311yescharacteristic
367C22×D3—21no—
368C22×D3—21no—
369C22×D3—21no—
370C22×D3—21no—
371C22×D3D3×Q812yes—
372C22×D3#23912yes—
373C22×D3C22×Dic312yes—
374C3×Q8—28no—
375C3×Q8—28no—
376C3×Q8—316no—
377C3×Q8—48no—
378C3×Q8—616no—
379C2×C3×C4—22no—
380C2×C3×C4—22no—
381C2×C3×C4—22no—
382C2×C3×C4—22no—
383C2×C3×C4—22no—
384C2×C3×C4—24no—
385C2×C3×C4—22no—
386C2×C3×C4—22no—
387C2×C3×C4—34no—
388C2×C3×C4—34no—
389C2×C3×C4—34no—
390C2×C3×C4—32no—
391C2×C3×C4—32no—
392C2×C3×C4—42no—
393C2×C3×C4—42no—
394C2×C3×C4—616no—
395C2×C3×C4—61no—
396C2×C3×C4—61no—
397C2×C3×C4—61no—
398C2×C3×C4—61no—
399C2×C3×C4—68no—
400C2×C3×C4—62no—
401C2×C3×C4—61no—
402C2×C3×C4—62no—
403C2×C3×C4—61no—
404C2×C3×C4—62no—
405C2×C3×C4—61no—
406C2×C3×C4C2×C4×D314yes—
407C2×C3×C4C2×C4×D312yes—
408C2×C3×C4D3×D412yes—
409C2×C3×C4D3×D412yes—
410C2×C3×C4C22×Dic314yes—
411C2×C3×C4C22×Dic312yes—
412C2×C3×C4C2×#6712yes—
413C2×C3×C4C2×#6712yes—
414C2×Dic3—21no—
415C2×Dic3—21no—
416C2×Dic3—21no—
417C2×Dic3—21no—
418C2×Dic3—21no—
419C2×Dic3—22no—
420C2×Dic3—21no—
421C2×Dic3—21no—
422C2×Dic3—22no—
423C2×Dic3—22no—
424C2×Dic3—32no—
425C2×Dic3—32no—
426C2×Dic3—62no—
427C2×Dic3—61no—
428C2×Dic3—61no—
429C2×Dic3—61no—
430C2×Dic3—61no—
431C2×Dic3—62no—
432C2×Dic3—62no—
433C2×Dic3—61no—
434C2×Dic3—61no—
435C2×Dic3—62no—
436C2×Dic3—61no—
437C2×Dic3—62no—
438C2×Dic3—62no—
439C2×Dic3—62no—
440C2×Dic3—61no—
441C2×Dic3—61no—
442C2×Dic3—61no—
443C2×Dic3—62no—
444C2×Dic3—121no—
445C2×Dic3—121no—
446C2×Dic3—121no—
447C2×Dic3—121no—
448C2×Dic3—122no—
449C2×Dic3—122no—
450C2×Dic3—122no—
451C2×Dic3D3×Q812yescomplemented
452C2×Dic3C22×Dic312yes—
453C2×Dic3C22×Dic314yes—
454C2×Dic3C2×#6714yes—
455C2×Dic3C2×#6714yes—
456C4×D3—28no—
457C4×D3—216no—
458Dic6—216no—
459Dic6#217116yescomplemented
460C2×C32C22×C22⋊C411yescharacteristic
461C2×C32C2×C4×Q811yescharacteristic
462C2×C32#51911yescharacteristic
463C2×C32#54811yescharacteristic
464C2×C32#54811yescharacteristic
465C2×C32D4×Q811yescharacteristic
466C2×C32D4×Q811yescharacteristic
467C3×D3—24no—
468C24—31no—
469C2×Q8—22no—
470C2×Q8—22no—
471C2×Q8—34no—
472C2×Q8—38no—
473C2×Q8—34no—
474C2×Q8—34no—
475C2×Q8—64no—
476C2×Q8—64no—
477C2×Q8—632no—
478C2×Q8D3×Dic314yes—
479C22×C4—32no—
480C22×C4—31no—
481C22×C4—31no—
482C22×C4—38no—
483C22×C4—34no—
484C22×C4—31no—
485C22×C4—32no—
486C22×C4—64no—
487C22×C4—64no—
488C22×C4—62no—
489C22×C4—62no—
490C22×C4—91no—
491C22×C4—91no—
492C22×C4—92no—
493C22×C4C2×D3212yes—
494C22×C4C2×D3211yescharacteristic
495C4⋊C4—62no—
496C4⋊C4—184no—
497C4⋊C4—184no—
498C4⋊C4—182no—
499C22⋊C4—94no—
500C22⋊C4—184no—
501C22⋊C4—182no—
502C42—62no—
503C42—184no—
504C42—184no—
505C42—182no—
506C22×C3—21no—
507C22×C3—21no—
508C22×C3—21no—
509C22×C3—21no—
510C22×C3—21no—
511C22×C3—21no—
512C22×C3—21no—
513C22×C3—34no—
514C22×C3—62no—
515C22×C3—62no—
516C22×C3—62no—
517C22×C3—62no—
518C22×C3—62no—
519C22×C3—62no—
520C22×C3C22×C4×D311yescharacteristic
521C22×C3C2×D3×D411yescharacteristic
522C22×C3C2×D3×D411yescharacteristic
523C22×C3C2×D3×Q811yescharacteristic
524C22×C3C2×D3×Q811yescharacteristic
525C22×C3C2×#23911yescharacteristic
526C22×C3#100711yescharacteristic
527C22×C3#100711yescharacteristic
528C22×C3#100711yescharacteristic
529C22×C3D3×#4111yescharacteristic
530C22×C3#101011yescharacteristic
531C22×C3C23×Dic311yescharacteristic
532C22×C3C22×#6711yescharacteristic
533C22×C3C22×#6711yescharacteristic
534C2×D3—22no—
535C2×D3—22no—
536C2×D3—22no—
537C2×D3—22no—
538C2×D3—22no—
539C2×D3—22no—
540C2×D3Q8×Dic314yescomplemented
541C3×C4—24no—
542C3×C4—24no—
543C3×C4—24no—
544C3×C4—38no—
545C3×C4—44no—
546C3×C4—62no—
547C3×C4—62no—
548C3×C4—122no—
549C3×C4—121no—
550C3×C4D3×C22⋊C414yes—
551C3×C4C2×#21714yes—
552Dic3—22no—
553Dic3—22no—
554Dic3—41no—
555Dic3—42no—
556Dic3—62no—
557Dic3—62no—
558Dic3—122no—
559Dic3—122no—
560Dic3—122no—
561Dic3—121no—
562Dic3—121no—
563Dic3—122no—
564Dic3—242no—
565Dic3C2×#21718yes—
566C32Q8×C22⋊C411yescharacteristic, complemented, Sylow
567C23—32no—
568C23—32no—
569C23—32no—
570C23—61no—
571C23—61no—
572C23—61no—
573C23—61no—
574C23C22×D3211yescharacteristic
575Q8—28no—
576Q8—316no—
577Q8—616no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—34no—
581C2×C4—34no—
582C2×C4—34no—
583C2×C4—32no—
584C2×C4—32no—
585C2×C4—616no—
586C2×C4—61no—
587C2×C4—61no—
588C2×C4—61no—
589C2×C4—61no—
590C2×C4—68no—
591C2×C4—62no—
592C2×C4—61no—
593C2×C4—62no—
594C2×C4—61no—
595C2×C4—61no—
596C2×C4—62no—
597C2×C4—92no—
598C2×C4—181no—
599C2×C4—181no—
600C2×C4—181no—
601C2×C4—182no—
602C2×C4—181no—
603C2×C4—182no—
604C2×C4—181no—
605C2×C4—182no—
606C2×C4C2×D3×Dic314yes—
607C2×C4C2×D3×Dic312yes—
608C2×C4D3×#6712yes—
609C2×C4D3×#6712yes—
610C2×C3—21no—
611C2×C3—21no—
612C2×C3—21no—
613C2×C3—21no—
614C2×C3—21no—
615C2×C3—21no—
616C2×C3—21no—
617C2×C3—64no—
618C2×C3C2×D3×C22⋊C411yescharacteristic
619C2×C3C4×D3×Q811yescharacteristic
620C2×C3#557211yescharacteristic
621C2×C3#563211yescharacteristic
622C2×C3#563311yescharacteristic
623C2×C3#567711yescharacteristic
624C2×C3#572711yescharacteristic
625C2×C3C2×Q8×Dic311yescharacteristic
626C2×C3#581211yescharacteristic
627C2×C3Q8×#6711yescharacteristic
628C2×C3Q8×#6711yescharacteristic
629C2×C3#581711yescharacteristic
630C2×C3#581711yescharacteristic
631C2×C3C22×#21711yescharacteristic
632D3—24no—
633C22—34no—
634C22—62no—
635C22—62no—
636C22—62no—
637C22—62no—
638C22—62no—
639C22—62no—
640C22#6431511yescharacteristic
641C22#6431611yescharacteristic
642C22D32×Q811yescharacteristic
643C22D3×#23911yescharacteristic
644C22C22×D3×Dic311yescharacteristic
645C22C2×D3×#6711yescharacteristic
646C22C2×D3×#6711yescharacteristic
647C4—24no—
648C4—38no—
649C4—62no—
650C4—62no—
651C4—122no—
652C4—121no—
653C4—182no—
654C4—361no—
655C4—362no—
656C4D3×#21714yes—
657C3—21no—
658C3#7661411yescharacteristic, complemented
659C3Q8×#21711yescharacteristic, complemented
660C2—64no—
661C2#1059534711yescharacteristic
662C2D3×Q8×Dic311yescharacteristic
663C2#1059540011yescharacteristic
664C2#1059540111yescharacteristic
665C2#1059540211yescharacteristic
666C2#1059540311yescharacteristic
667C2C2×D3×#21711yescharacteristic
subgroupG/H
center, FrattiniC23C22×D32
commutatorC22×C32C23×C4
FittingC22×C32×Q8C22
socle, cosocleC23×C32C24
prime radicalC23×C3×D3C23
hypercenterC22×Q8D32
hypocenterC32Q8×C22⋊C4
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C22×Q8

Complements

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

NH ≅ G/Ntype
2. C2×#63843C2semidirect
3. C2×Dic3×Dic6C2semidirect
4. #10592928C2semidirect
5. C3×#5229C2semidirect
9. #10591261C2semidirect
10. #10591261C2semidirect
17. C2×C3×D3×Q8C4semidirect
54. #5229D3semidirect
100. (C2×D3)⋊Dic3Q8semidirect
116. C2×D3×Q8Dic3semidirect
188. C2×C3⋊Dic3C2×Q8semidirect
203. C2×C3×Dic3C2×Q8semidirect
207. C3×Dic6C22⋊C4semidirect
318. C2×C3×D3C4×Q8semidirect
451. C2×Dic3D3×Q8semidirect
459. Dic6#217semidirect
540. C2×D3Q8×Dic3semidirect
566. C32Q8×C22⋊C4semidirect
658. C3#76614semidirect
659. C3Q8×#217semidirect

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×#638432
C2×Dic3×Dic62
#105929282
C3×#52292
#105913132
#105912952
C4×(C2×D3)⋊Dic32
#105912612
#105912372
Q8×#2173
#766143