Finite Group Databasebeta

← D3×#4947 #11808120

Subgroups — D3×#4947 #11808120

Order 1152.

2173 conjugacy classes of subgroups.

The subgroup lattice has 721 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D3×Dic6C211yesmaximal, characteristic, complemented
2C2×C3×D3×C22⋊C4C211yesmaximal, characteristic
3C2×D3×#217C212yesmaximal
4#10592646C211yesmaximal, characteristic, complemented
5C3×#4947C211yesmaximal, characteristic, complemented
6#10591692C212yesmaximal, complemented
7D3×C3⋊#95C211yesmaximal, characteristic, complemented
8D3×C3⋊#95C212yesmaximal, complemented
9#10591322C211yesmaximal, characteristic, complemented
10#10591304C211yesmaximal, characteristic, complemented
11#10591293C212yesmaximal, complemented
12C2×#4947—31nomaximal
13D3×#393—31nomaximal
14C24×C3×D3C2211yescharacteristic
15C22×#634C2211yescharacteristic, complemented
16C22×C3×C4×D3C2211yescharacteristic
17C22×C3×C4×D3C2211yescharacteristic
18C22×C3×Dic6C2211yescharacteristic, complemented
19C22×#627C2212yescomplemented
20C22×D3×Dic3C2212yes—
21C22×D3×Dic3C2212yes—
22C2×D3×Dic6—24no—
23C2×D3×Dic6—28no—
24C2×C32×C22⋊C4C2211yescharacteristic
25C2×#3757C2212yes—
26C2×C3×#217C2212yes—
27C2×C3×#217C2211yescharacteristic
28C2×C3×(C2×D3)⋊C4C2211yescharacteristic
29C2×C3×(C2×D3)⋊C4C2211yescharacteristic
30C3×D3×C22⋊C4—24no—
31D3×#217—28no—
32C2×(C2×D3)⋊Dic3C2212yes—
33C2×(C2×D3)⋊Dic3C2212yes—
34#63658C2212yescomplemented
35#63658C2211yescharacteristic, complemented
36C3×C3⋊#95C2212yescomplemented
37C3×C3⋊#95C2211yescharacteristic, complemented
38#63579C2212yescomplemented
39#63579C2212yescomplemented
40#63579C2212yescomplemented
41C22×D3×Q8—31no—
42C23×Dic6—31no—
43C22×C3×C22⋊C4—31no—
44C22×#217—32no—
45C2×D3×C22⋊C4—32no—
46C2×D3×C22⋊C4D311yescharacteristic
47C3×#393—31no—
48#5231—31no—
49C2×C3⋊#95—32no—
50C2×C3⋊#95—31no—
51#4947—31no—
52#4947—31no—
53#4947—31no—
54#4947—32no—
55#4947—32no—
56#4947—32no—
57#4947—31no—
58#4947—61no—
59#4947D311yescharacteristic, direct product factor
60#4673—32no—
61#4673—31no—
62D3×#95—32no—
63D3×#95—31no—
64C24×C32C2311yescharacteristic
65C23×C3×D3—22no—
66C23×C3×D3—24no—
67C23×C3×D3—22no—
68C23×C3×D3—24no—
69C23×C3×D3Q814yescomplemented
70C23×C3×D3C2311yescharacteristic
71C23×C3×D3C2311yescharacteristic
72C22×C32×C4C2311yescharacteristic
73C22×C32×C4C2311yescharacteristic
74C22×C3⋊Dic3C2312yes—
75C22×C3⋊Dic3C2312yes—
76C2×#634—22no—
77C2×#634—24no—
78C22×C3×Dic3C2311yescharacteristic
79C22×C3×Dic3C2312yes—
80C22×C3×Dic3C2311yescharacteristic
81C22×C3×Dic3C2312yes—
82C2×C3×C4×D3—24no—
83C2×C3×C4×D3—22no—
84C2×C3×C4×D3—24no—
85C2×C3×C4×D3D414yes—
86C2×C3×Dic6—22no—
87C2×C3×Dic6—24no—
88C2×#627—24no—
89C2×#627—24no—
90C2×#627—24no—
91C2×D3×Dic3—24no—
92C2×D3×Dic3—24no—
93C2×D3×Dic3—24no—
94C2×D3×Dic3—24no—
95C2×D3×Dic3—24no—
96C2×D3×Dic3D418yes—
97D3×Dic6—232no—
98C32×C22⋊C4—22no—
99#3757—24no—
100C3×#217—22no—
101C3×#217—24no—
102C3×(C2×D3)⋊C4—22no—
103C3×(C2×D3)⋊C4—22no—
104(C2×D3)⋊Dic3—24no—
105(C2×D3)⋊Dic3—24no—
106C2×#393—91noSylow
107C25×C3—31no—
108C24×D3C2×D311yescharacteristic
109C22×C3×Q8—31no—
110C23×C3×C4—31no—
111C23×C3×C4—31no—
112C23×Dic3—32no—
113C23×Dic3—32no—
114C2×D3×Q8—68no—
115C2×D3×Q8—64no—
116C22×C4×D3—32no—
117C22×C4×D3—32no—
118C22×C4×D3C2×D311yescharacteristic
119C22×C4×D3C2×D311yescharacteristic
120C22×Dic6—31no—
121C22×Dic6—31no—
122C22×Dic6—32no—
123C22×Dic6—32no—
124C22×Dic6—61no—
125C22×Dic6—68no—
126C22×Dic6—64no—
127C22×Dic6C2×D311yescharacteristic, complemented
128C2×C3×C22⋊C4—21no—
129C2×C3×C22⋊C4—31no—
130C2×C3×C22⋊C4—32no—
131C2×C3×C22⋊C4—31no—
132C2×C3×C22⋊C4—31no—
133C2×C3×C22⋊C4—64no—
134C2×C3×C22⋊C4C2×D311yescharacteristic
135C2×C3×C22⋊C4C2×D311yescharacteristic
136C2×#217—32no—
137C2×#217—32no—
138C2×#217—32no—
139C2×#217—32no—
140C2×#217—62no—
141C2×#217—68no—
142C2×#217C2×D311yescharacteristic
143C2×#217C2×D312yes—
144C2×(C2×D3)⋊C4—32no—
145C2×(C2×D3)⋊C4—32no—
146C2×(C2×D3)⋊C4C2×D311yescharacteristic
147C2×(C2×D3)⋊C4C2×D311yescharacteristic
148D3×C22⋊C4—24no—
149D3×C22⋊C4—68no—
150C3×#95—32no—
151C3×#95—31no—
152C3⋊#95—32no—
153C3⋊#95—31no—
154C3⋊#95—32no—
155C3⋊#95—31no—
156C3⋊#95—32no—
157C3⋊#95—32no—
158C3⋊#95—32no—
159C3⋊#95—32no—
160C3⋊#95—32no—
161C3⋊#95—32no—
162C3⋊#95—62no—
163C3⋊#95—61no—
164C3⋊#95C2×D311yescharacteristic, complemented
165C3⋊#95C2×D312yescomplemented
166C23×C32—22no—
167C23×C32—21no—
168C23×C32—21no—
169C23×C32—22no—
170C23×C32C2×Q812yescomplemented
171C23×C32C2411yescharacteristic
172C22×C3×D3—22no—
173C22×C3×D3—21no—
174C22×C3×D3—21no—
175C22×C3×D3—22no—
176C22×C3×D3—216no—
177C22×C3×D3—28no—
178C22×C3×D3—44no—
179C22×C3×D3—48no—
180C22×C3×D3—44no—
181C22×C3×D3C2×D414yes—
182C22×C3×D3C2×D412yes—
183C22×C3×D3C2×Q812yes—
184C22×C3×D3C2×Q812yescomplemented
185C22×C3×D3#4112yes—
186C22×C3×D3#4114yes—
187C2×C32×C4—22no—
188C2×C32×C4—21no—
189C2×C32×C4—22no—
190C2×C32×C4C2×D412yes—
191C2×C3⋊Dic3—22no—
192C2×C3⋊Dic3—22no—
193C2×C3⋊Dic3—22no—
194C2×C3⋊Dic3—22no—
195C2×C3⋊Dic3—22no—
196C2×C3⋊Dic3C2×D414yes—
197#634—28no—
198C2×C3×Dic3—22no—
199C2×C3×Dic3—22no—
200C2×C3×Dic3—22no—
201C2×C3×Dic3—22no—
202C2×C3×Dic3—21no—
203C2×C3×Dic3—22no—
204C2×C3×Dic3—22no—
205C2×C3×Dic3—22no—
206C2×C3×Dic3C2×D414yes—
207C2×C3×Dic3C2×D412yes—
208C3×C4×D3—28no—
209C3×C4×D3—44no—
210C3×Dic6—28no—
211#627—216no—
212D3×Dic3—216no—
213D3×Dic3—48no—
214C23×Q8—91no—
215C22×C22⋊C4—31no—
216C22×C22⋊C4—92no—
217#393—31no—
218#393—91no—
219#393—92no—
220#393—92no—
221#393—91no—
222#393—91no—
223C2×#95—91no—
224C2×#95—92no—
225C24×C3—21no—
226C24×C3—31no—
227C24×C3—34no—
228C24×C3—31no—
229C24×C3—62no—
230C24×C3—64no—
231C24×C3—64no—
232C24×C3—62no—
233C24×C3C22×D311yescharacteristic
234C24×C3C22×D311yescharacteristic
235C23×D3—22no—
236C23×D3—24no—
237C23×D3—24no—
238C23×D3—22no—
239C23×D3Dic614yescomplemented
240C23×D3C22×D311yescharacteristic
241C23×D3C22×D311yescharacteristic
242C2×C3×Q8—64no—
243C2×C3×Q8—62no—
244C22×C3×C4—21no—
245C22×C3×C4—21no—
246C22×C3×C4—31no—
247C22×C3×C4—32no—
248C22×C3×C4—34no—
249C22×C3×C4—31no—
250C22×C3×C4—32no—
251C22×C3×C4—64no—
252C22×C3×C4—62no—
253C22×C3×C4—64no—
254C22×C3×C4C22×D311yescharacteristic
255C22×C3×C4C22×D311yescharacteristic
256C22×C3×C4C22×D311yescharacteristic
257C22×C3×C4C22×D311yescharacteristic
258C22×Dic3—32no—
259C22×Dic3—32no—
260C22×Dic3—38no—
261C22×Dic3—32no—
262C22×Dic3—32no—
263C22×Dic3—62no—
264C22×Dic3—62no—
265C22×Dic3—64no—
266C22×Dic3—64no—
267C22×Dic3—64no—
268C22×Dic3—64no—
269C22×Dic3—64no—
270C22×Dic3C22×D311yescharacteristic
271C22×Dic3C22×D312yes—
272C22×Dic3C22×D312yes—
273C22×Dic3C22×D311yescharacteristic
274D3×Q8—632no—
275C2×C4×D3—24no—
276C2×C4×D3—24no—
277C2×C4×D3—22no—
278C2×C4×D3—38no—
279C2×C4×D3—64no—
280C2×C4×D3—64no—
281C2×C4×D3—64no—
282C2×C4×D3—64no—
283C2×C4×D3—64no—
284C2×C4×D3#6714yes—
285C2×Dic6—22no—
286C2×Dic6—24no—
287C2×Dic6—632no—
288C2×Dic6—64no—
289C2×Dic6—64no—
290C2×Dic6—64no—
291C2×Dic6—64no—
292C2×Dic6—64no—
293C2×Dic6—64no—
294C2×Dic6—62no—
295C2×Dic6—62no—
296C2×Dic6—64no—
297C2×Dic6—64no—
298C2×Dic6—124no—
299C2×Dic6—122no—
300C3×C22⋊C4—22no—
301C3×C22⋊C4—22no—
302C3×C22⋊C4—42no—
303C3×C22⋊C4—62no—
304C3×C22⋊C4—64no—
305C3×C22⋊C4—62no—
306C3×C22⋊C4—62no—
307#217—24no—
308#217—22no—
309#217—64no—
310#217—64no—
311#217—64no—
312#217—64no—
313#217—124no—
314(C2×D3)⋊C4—22no—
315(C2×D3)⋊C4—22no—
316(C2×D3)⋊C4—64no—
317(C2×D3)⋊C4—64no—
318C22×C32—24no—
319C22×C32—22no—
320C22×C32—41no—
321C22×C32—42no—
322C22×C32—41no—
323C22×C32C22×D412yes—
324C22×C32C22×D411yescharacteristic
325C22×C32C22×Q811yescharacteristic
326C22×C32C2×#4111yescharacteristic
327C22×C32C2×#4112yes—
328C2×C3×D3—24no—
329C2×C3×D3—22no—
330C2×C3×D3—41no—
331C2×C3×D3—42no—
332C2×C3×D3—41no—
333C2×C3×D3—416no—
334C2×C3×D3#12014yes—
335C2×C3×D3C22⋊Q818yes—
336C2×C3×D3C22⋊Q814yes—
337C2×C3×D3#12418yes—
338C2×C3×D3#12414yes—
339C32×C4—22no—
340C32×C4—41no—
341C3⋊Dic3—24no—
342C3⋊Dic3—42no—
343C3×Dic3—24no—
344C3×Dic3—22no—
345C3×Dic3—42no—
346C3×Dic3—41no—
347C25—31no—
348C22×Q8—31no—
349C22×Q8—92no—
350C22×Q8—91no—
351C22×Q8—184no—
352C22×Q8—188no—
353C23×C4—31no—
354C23×C4—31no—
355C23×C4—92no—
356C23×C4—92no—
357C2×C22⋊C4—31no—
358C2×C22⋊C4—32no—
359C2×C22⋊C4—31no—
360C2×C22⋊C4—31no—
361C2×C22⋊C4—64no—
362C2×C22⋊C4—92no—
363C2×C22⋊C4—92no—
364C2×C22⋊C4—92no—
365C2×C22⋊C4—188no—
366C2×C22⋊C4D3211yescharacteristic
367#95—32no—
368#95—31no—
369#95—92no—
370#95—92no—
371#95—92no—
372#95—92no—
373#95—91no—
374C23×C3—21no—
375C23×C3—22no—
376C23×C3—22no—
377C23×C3—21no—
378C23×C3—22no—
379C23×C3—21no—
380C23×C3—22no—
381C23×C3—21no—
382C23×C3—21no—
383C23×C3—22no—
384C23×C3—34no—
385C23×C3—32no—
386C23×C3—32no—
387C23×C3—32no—
388C23×C3—34no—
389C23×C3—32no—
390C23×C3—42no—
391C23×C3—41no—
392C23×C3—41no—
393C23×C3—42no—
394C23×C3—616no—
395C23×C3—68no—
396C23×C3—62no—
397C23×C3—61no—
398C23×C3—61no—
399C23×C3—62no—
400C23×C3—128no—
401C23×C3—124no—
402C23×C3—124no—
403C23×C3C2×Dic612yescomplemented
404C23×C3D3×Q812yescomplemented
405C23×C3C23×D311yescharacteristic
406C23×C3C23×D311yescharacteristic
407C22×D3—21no—
408C22×D3—22no—
409C22×D3—22no—
410C22×D3—21no—
411C22×D3—216no—
412C22×D3—28no—
413C22×D3—48no—
414C22×D3—44no—
415C22×D3—44no—
416C22×D3C2×Dic612yes—
417C22×D3C2×Dic612yescomplemented
418C22×D3#23512yes—
419C22×D3D3×D414yes—
420C22×D3#23714yes—
421C22×D3C2×#6712yes—
422C3×Q8—68no—
423C2×C3×C4—22no—
424C2×C3×C4—22no—
425C2×C3×C4—21no—
426C2×C3×C4—22no—
427C2×C3×C4—22no—
428C2×C3×C4—21no—
429C2×C3×C4—22no—
430C2×C3×C4—34no—
431C2×C3×C4—32no—
432C2×C3×C4—42no—
433C2×C3×C4—41no—
434C2×C3×C4—42no—
435C2×C3×C4—68no—
436C2×C3×C4—62no—
437C2×C3×C4—62no—
438C2×C3×C4—62no—
439C2×C3×C4—62no—
440C2×C3×C4—62no—
441C2×C3×C4—61no—
442C2×C3×C4—62no—
443C2×C3×C4—62no—
444C2×C3×C4—124no—
445C2×C3×C4D3×D412yes—
446C2×C3×C4C2×#6712yes—
447C2×Dic3—22no—
448C2×Dic3—22no—
449C2×Dic3—22no—
450C2×Dic3—22no—
451C2×Dic3—22no—
452C2×Dic3—22no—
453C2×Dic3—22no—
454C2×Dic3—21no—
455C2×Dic3—34no—
456C2×Dic3—34no—
457C2×Dic3—64no—
458C2×Dic3—616no—
459C2×Dic3—62no—
460C2×Dic3—62no—
461C2×Dic3—62no—
462C2×Dic3—62no—
463C2×Dic3—62no—
464C2×Dic3—62no—
465C2×Dic3—62no—
466C2×Dic3—62no—
467C2×Dic3—62no—
468C2×Dic3—62no—
469C2×Dic3—122no—
470C2×Dic3—122no—
471C2×Dic3—122no—
472C2×Dic3—122no—
473C2×Dic3—122no—
474C2×Dic3—128no—
475C2×Dic3D3×D414yes—
476C2×Dic3C2×#6712yes—
477C4×D3—28no—
478C4×D3—44no—
479C4×D3—616no—
480C4×D3—128no—
481Dic6—28no—
482Dic6—616no—
483Dic6—616no—
484Dic6—68no—
485Dic6—68no—
486Dic6—128no—
487C2×C32—42no—
488C2×C32C2×#12011yescharacteristic
489C2×C32C2×C22⋊Q812yes—
490C2×C32C2×C22⋊Q811yescharacteristic
491C2×C32C2×#12412yes—
492C2×C32C2×#12411yescharacteristic
493C3×D3—42no—
494C3×D3#39318yescomplemented
495C24—31no—
496C24—31no—
497C24—34no—
498C24—62no—
499C24—64no—
500C24—62no—
501C24—64no—
502C24C2×D3211yescharacteristic
503C2×Q8—64no—
504C2×Q8—62no—
505C2×Q8—184no—
506C2×Q8—184no—
507C2×Q8—184no—
508C2×Q8—184no—
509C2×Q8—1832no—
510C2×Q8—182no—
511C22×C4—32no—
512C22×C4—31no—
513C22×C4—34no—
514C22×C4—32no—
515C22×C4—31no—
516C22×C4—64no—
517C22×C4—62no—
518C22×C4—64no—
519C22×C4—98no—
520C22×C4—92no—
521C22×C4—92no—
522C22×C4—184no—
523C22×C4—184no—
524C22×C4—184no—
525C22×C4—184no—
526C22×C4—184no—
527C22×C4C2×D3211yescharacteristic
528C22×C4C2×D3211yescharacteristic
529C22⋊C4—22no—
530C22⋊C4—62no—
531C22⋊C4—62no—
532C22⋊C4—64no—
533C22⋊C4—62no—
534C22⋊C4—184no—
535C22⋊C4—184no—
536C22⋊C4—184no—
537C22×C3—24no—
538C22×C3—22no—
539C22×C3—24no—
540C22×C3—22no—
541C22×C3—21no—
542C22×C3—21no—
543C22×C3—22no—
544C22×C3—22no—
545C22×C3—21no—
546C22×C3—38no—
547C22×C3—34no—
548C22×C3—34no—
549C22×C3—38no—
550C22×C3—34no—
551C22×C3—44no—
552C22×C3—42no—
553C22×C3—41no—
554C22×C3—42no—
555C22×C3—42no—
556C22×C3—41no—
557C22×C3—41no—
558C22×C3—41no—
559C22×C3—64no—
560C22×C3—62no—
561C22×C3—81no—
562C22×C3—81no—
563C22×C3—82no—
564C22×C3—1216no—
565C22×C3—121no—
566C22×C3—122no—
567C22×C3—121no—
568C22×C3C22×Dic611yescharacteristic
569C22×C3C2×#23511yescharacteristic
570C22×C3C2×D3×D412yes—
571C22×C3C2×D3×D412yes—
572C22×C3C2×D3×D411yescharacteristic
573C22×C3C2×#23712yes—
574C22×C3C2×D3×Q811yescharacteristic
575C22×C3D3×#4111yescharacteristic
576C22×C3D3×#4112yes—
577C22×C3C22×#6711yescharacteristic
578C2×D3—24no—
579C2×D3—22no—
580C2×D3—42no—
581C2×D3—41no—
582C2×D3—41no—
583C2×D3—416no—
584C2×D3#87818yes—
585C2×D3#88518yes—
586C2×D3#92414yes—
587C2×D3#93614yes—
588C2×D3#93714yes—
589C3×C4—22no—
590C3×C4—22no—
591C3×C4—42no—
592C3×C4—41no—
593C3×C4—41no—
594C3×C4—64no—
595C3×C4—62no—
596C3×C4—81no—
597C3×C4—121no—
598C3×C4—122no—
599Dic3—22no—
600Dic3—24no—
601Dic3—42no—
602Dic3—41no—
603Dic3—64no—
604Dic3—64no—
605Dic3—124no—
606Dic3—122no—
607Dic3—122no—
608Dic3—242no—
609C32C2×#39311yescharacteristic, complemented, Sylow
610C23—21no—
611C23—22no—
612C23—22no—
613C23—21no—
614C23—32no—
615C23—32no—
616C23—34no—
617C23—34no—
618C23—32no—
619C23—32no—
620C23—616no—
621C23—68no—
622C23—61no—
623C23—62no—
624C23—62no—
625C23—61no—
626C23—124no—
627C23—124no—
628C23—128no—
629C23D3×Dic612yescomplemented
630C23C22×D3211yescharacteristic
631Q8—68no—
632Q8—188no—
633Q8—1816no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—21no—
637C2×C4—34no—
638C2×C4—32no—
639C2×C4—68no—
640C2×C4—62no—
641C2×C4—62no—
642C2×C4—62no—
643C2×C4—62no—
644C2×C4—62no—
645C2×C4—62no—
646C2×C4—62no—
647C2×C4—61no—
648C2×C4—94no—
649C2×C4—124no—
650C2×C4—1816no—
651C2×C4—182no—
652C2×C4—182no—
653C2×C4—182no—
654C2×C4—182no—
655C2×C4—182no—
656C2×C4—368no—
657C2×C4D3×#6712yes—
658C2×C3—22no—
659C2×C3—21no—
660C2×C3—21no—
661C2×C3—21no—
662C2×C3—22no—
663C2×C3—38no—
664C2×C3—42no—
665C2×C3—42no—
666C2×C3—82no—
667C2×C3—122no—
668C2×C3C2×#87812yes—
669C2×C3C2×#88512yes—
670C2×C3D3×#12011yescharacteristic
671C2×C3D3×C22⋊Q812yes—
672C2×C3D3×C22⋊Q811yescharacteristic
673C2×C3D3×#12411yescharacteristic
674C2×C3D3×#12412yes—
675C2×C3C2×#92411yescharacteristic
676C2×C3C2×#93611yescharacteristic
677C2×C3C2×#93711yescharacteristic
678D3—42no—
679D3#494718yesdirect product factor
680C22—24no—
681C22—22no—
682C22—38no—
683C22—34no—
684C22—34no—
685C22—34no—
686C22—38no—
687C22—41no—
688C22—41no—
689C22—42no—
690C22—64no—
691C22—62no—
692C22—1216no—
693C22—121no—
694C22—121no—
695C22—122no—
696C22C2×D3×Dic611yescharacteristic
697C22D3×#23511yescharacteristic
698C22D32×D412yes—
699C22D3×#23712yes—
700C22C2×D3×#6711yescharacteristic
701C4—22no—
702C4—41no—
703C4—62no—
704C4—64no—
705C4—121no—
706C4—122no—
707C4—184no—
708C4—362no—
709C3—21no—
710C3D3×#39311yescharacteristic, complemented
711C3C2×#494711yescharacteristic, complemented
712C2—38no—
713C2—42no—
714C2—122no—
715C2D3×#87812yes—
716C2D3×#88512yes—
717C2D3×#92411yescharacteristic
718C2D3×#93611yescharacteristic
719C2D3×#93711yescharacteristic
subgroupG/H
center, FrattiniC23C22×D32
commutator, socle, cosocleC23×C32C24
FittingC2×C32×C22⋊C4C22
prime radicalC24×C3×D3C22
hypercenterC2×C22⋊C4D32
hypocenterC32C2×#393
LCSG ▷ C23×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C22×D3×Dic6C2semidirect
4. #10592646C2semidirect
5. C3×#4947C2semidirect
6. #10591692C2semidirect
7. D3×C3⋊#95C2semidirect
8. D3×C3⋊#95C2semidirect
9. #10591322C2semidirect
10. #10591304C2semidirect
11. #10591293C2semidirect
15. C22×#634C22semidirect
18. C22×C3×Dic6C22semidirect
19. C22×#627C22semidirect
34. #63658C22semidirect
35. #63658C22semidirect
36. C3×C3⋊#95C22semidirect
37. C3×C3⋊#95C22semidirect
38. #63579C22semidirect
39. #63579C22semidirect
40. #63579C22semidirect
59. #4947D3direct (N × H)
69. C23×C3×D3Q8semidirect
127. C22×Dic6C2×D3semidirect
164. C3⋊#95C2×D3semidirect
165. C3⋊#95C2×D3semidirect
170. C23×C32C2×Q8semidirect
184. C22×C3×D3C2×Q8semidirect
239. C23×D3Dic6semidirect
403. C23×C3C2×Dic6semidirect
404. C23×C3D3×Q8semidirect
417. C22×D3C2×Dic6semidirect
494. C3×D3#393semidirect
609. C32C2×#393semidirect
629. C23D3×Dic6semidirect
679. D3#4947direct (N × H)
710. C3D3×#393semidirect
711. C3C2×#4947semidirect

Maximal subgroups

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

subgroupindex
C22×D3×Dic62
C2×C3×D3×C22⋊C42
C2×D3×#2172
#105926462
C3×#49472
#105916922
D3×C3⋊#952
#105913222
#105913042
#105912932
C2×#49473
D3×#3933