Finite Group Databasebeta

← D3×#63863 #13168067

Subgroups — D3×#63863 #13168067

Order 1728.

1610 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D3×D12C211yesmaximal, characteristic
2C2×C3×D3×Dic6C211yesmaximal, characteristic, complemented
3#11723677C211yesmaximal, characteristic, complemented
4C4×D3×C3⋊Dic3C211yesmaximal, characteristic, complemented
5#11723436C211yesmaximal, characteristic, complemented
6#11723434C211yesmaximal, characteristic, complemented
7C3×#63863C211yesmaximal, characteristic, complemented
8#11723001C214yesmaximal, complemented
9D3×(C2×D3)⋊Dic3C214yesmaximal, complemented
10D3×#947—31nomaximal
11D3×#936—31nomaximal
12C2×#63863—31nomaximal
13C22×C3×D32C2212yes—
14C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
15C2×C3×#634C2211yescharacteristic, complemented
16C2×C32×D12C2211yescharacteristic
17C2×C32×C4×D3C2211yescharacteristic
18C2×C32×Dic6C2211yescharacteristic, complemented
19C2×D3×C3⋊Dic3C2212yes—
20C2×C3×#627C2212yescomplemented
21C2×C3×#626C2212yes—
22C2×C3×D3×Dic3C2212yes—
23C3×D3×D12—24no—
24C3×D3×Dic6—24no—
25C4×C3⋊(C3⋊Dic3)C2211yescharacteristic, complemented
26C3×C4×C3⋊Dic3C2211yescharacteristic, complemented
27#88814C2214yescomplemented
28#88803C2214yescomplemented
29(C2×D3)⋊(C3⋊Dic3)C2214yescomplemented
30Dic3×C3⋊Dic3C2212yescomplemented
31C3×(C2×D3)⋊Dic3C2214yescomplemented
32C2×C3×D3×Q8—31no—
33C2×C3×D3×D4—31no—
34C22×C3×D12—31no—
35C22×C3×Dic6—31no—
36C2×D3×D12D311yescharacteristic
37C2×D3×Dic6D311yescharacteristic, complemented
38#64156—31no—
39#64145—31no—
40C2×C4×C3⋊Dic3—31no—
41C3×#947—31no—
42C3×#936—31no—
43D3×#217—34no—
44C2×(C2×D3)⋊Dic3—34no—
45#63959—34no—
46D3×(C2×D3)⋊C4—34no—
47#63907—34no—
48C4×D3×Dic3—31no—
49C4×D3×Dic3—31no—
50C4×D3×Dic3—61no—
51#63864—31no—
52#63863—31no—
53#63863—31no—
54#63863—31no—
55#63863—31no—
56#63863—31no—
57#63863—34no—
58#63863—61no—
59#63863—61no—
60#63863D311yescharacteristic, direct product factor
61#63860—31no—
62C22×C3×C3⋊D3C2312yes—
63C22×C32×D3C2312yes—
64C22×C32×D3C2311yescharacteristic
65C2×C3×D32—24no—
66C2×C3×D32—28no—
67C2×C33×C4C2311yescharacteristic
68C2×C3⋊(C3⋊Dic3)C2312yes—
69C2×C3×C3⋊Dic3C2312yes—
70C2×C3×C3⋊Dic3C2312yes—
71C3×C4⋊(C3⋊D3)—22no—
72C3×#634—22no—
73C2×C32×Dic3C2312yes—
74C2×C32×Dic3C2311yescharacteristic
75C32×D12—22no—
76C32×C4×D3D414yes—
77C32×Dic6—22no—
78D3×C3⋊Dic3—24no—
79C3×#627—24no—
80C3×#626—24no—
81C3×D3×Dic3—24no—
82C2×#947—91no—
83C2×#936—91no—
84D3×#124—91no—
85C23×C3×D3—32no—
86C23×C3×D3—32no—
87C22×D32C2×D312yes—
88C2×C32×Q8—31no—
89C2×C32×D4—31no—
90C22×C32×C4—31no—
91C22×C3⋊Dic3—32no—
92C2×C4⋊(C3⋊D3)C2×D311yescharacteristic
93C2×#634C2×D311yescharacteristic, complemented
94C2×C3×#67—32no—
95C22×C3×Dic3—32no—
96C3×D3×Q8—64no—
97C3×D3×D4—64no—
98C2×C3×D12—21no—
99C2×C3×D12—32no—
100C2×C3×D12—31no—
101C2×C3×D12—31no—
102C2×C3×D12—64no—
103C2×C3×D12—61no—
104C2×C3×D12C2×D311yescharacteristic
105C2×C3×D12C2×D311yescharacteristic
106C2×C3×C4×D3—21no—
107C2×C3×C4×D3—32no—
108C2×C3×C4×D3C2×D311yescharacteristic
109C2×C3×C4×D3C2×D311yescharacteristic
110C2×C3×Dic6—21no—
111C2×C3×Dic6—31no—
112C2×C3×Dic6—31no—
113C2×C3×Dic6—32no—
114C2×C3×Dic6—32no—
115C2×C3×Dic6—64no—
116C2×C3×Dic6—61no—
117C2×C3×Dic6C2×D311yescharacteristic, complemented
118C2×C3×Dic6C2×D311yescharacteristic, complemented
119C2×#627C2×D312yescomplemented
120C2×#626C2×D312yes—
121C2×D3×Dic3—32no—
122C2×D3×Dic3—32no—
123C2×D3×Dic3—62no—
124C2×D3×Dic3C2×D312yes—
125D3×D12—24no—
126D3×Dic6—24no—
127#3757—34no—
128#3752—34no—
129C4×C3⋊Dic3—31no—
130C4×C3⋊Dic3—31no—
131C4×C3⋊Dic3—31no—
132C4×C3⋊Dic3—32no—
133C4×C3⋊Dic3—61no—
134C4×C3⋊Dic3—61no—
135C4×C3⋊Dic3—61no—
136C4×C3⋊Dic3—121no—
137C4×C3⋊Dic3C2×D311yescharacteristic, complemented
138C3×#217—34no—
139C3×(C2×D3)⋊C4—34no—
140C3×C4×Dic3—31no—
141C3×C4×Dic3—31no—
142C3×C4×Dic3—61no—
143#3722—34no—
144(C2×D3)⋊Dic3—34no—
145(C2×D3)⋊Dic3—34no—
146(C2×D3)⋊Dic3—34no—
147(C2×D3)⋊Dic3—34no—
148(C2×D3)⋊Dic3—34no—
149(C2×D3)⋊Dic3—34no—
150(C2×D3)⋊Dic3—64no—
151(C2×D3)⋊Dic3—64no—
152(C2×D3)⋊Dic3C2×D314yescomplemented
153Dic32—32no—
154Dic32—32no—
155Dic32—62no—
156C22×C33C2411yescharacteristic
157C2×C3×C3⋊D3—22no—
158C2×C3×C3⋊D3—24no—
159C2×C32×D3—22no—
160C2×C32×D3—24no—
161C2×C32×D3C2×D412yes—
162C2×C32×D3#4114yes—
163C3×D32—48no—
164C33×C4C2×D412yes—
165C3⋊(C3⋊Dic3)—22no—
166C3×C3⋊Dic3—22no—
167C3×C3⋊Dic3—22no—
168C32×Dic3—22no—
169C32×Dic3C2×D412yes—
170C22×C3×Q8—91no—
171C22×C3×D4—91no—
172C2×D3×Q8—31no—
173C2×D3×D4—31no—
174C22×D12—31no—
175C22×Dic6—31no—
176C3×#124—91no—
177C2×#217—94no—
178#947—31no—
179#947—91no—
180#947—94no—
181#947—91no—
182#947—91no—
183#947—91no—
184#947—181no—
185#936—31no—
186#936—91no—
187#936—94no—
188#936—91no—
189#936—91no—
190#936—91no—
191#936—181no—
192C2×(C2×D3)⋊C4—94no—
193C2×C4×Dic3—91no—
194C2×C4×Dic3—91no—
195C2×C4×Dic3—181no—
196#885—94no—
197D3×C22⋊C4—94no—
198#875—91no—
199C42×D3—91no—
200C23×C32—31no—
201C23×C32—32no—
202C22×C3⋊D3C22×D312yes—
203C22×C3×D3—21no—
204C22×C3×D3—22no—
205C22×C3×D3—32no—
206C22×C3×D3—32no—
207C22×C3×D3—62no—
208C22×C3×D3—68no—
209C22×C3×D3—64no—
210C22×C3×D3—68no—
211C22×C3×D3—64no—
212C22×C3×D3C22×D312yes—
213C22×C3×D3C22×D312yes—
214C22×C3×D3C22×D311yescharacteristic
215C22×C3×D3C22×D311yescharacteristic
216C2×D32—28no—
217C2×D32—24no—
218C32×Q8—62no—
219C32×D4—62no—
220C2×C32×C4—21no—
221C2×C32×C4—21no—
222C2×C32×C4—21no—
223C2×C32×C4—31no—
224C2×C32×C4—34no—
225C2×C32×C4—32no—
226C2×C32×C4—41no—
227C2×C32×C4C22×D311yescharacteristic
228C2×C32×C4C22×D311yescharacteristic
229C2×C32×C4C22×D311yescharacteristic
230C2×C3⋊Dic3—32no—
231C2×C3⋊Dic3—32no—
232C2×C3⋊Dic3—32no—
233C2×C3⋊Dic3—62no—
234C2×C3⋊Dic3—62no—
235C2×C3⋊Dic3—62no—
236C2×C3⋊Dic3—64no—
237C2×C3⋊Dic3—122no—
238C2×C3⋊Dic3C22×D312yes—
239C2×C3⋊Dic3C22×D312yes—
240C4⋊(C3⋊D3)—22no—
241#634—22no—
242C3×#67—64no—
243C2×C3×Dic3—21no—
244C2×C3×Dic3—22no—
245C2×C3×Dic3—32no—
246C2×C3×Dic3—32no—
247C2×C3×Dic3—32no—
248C2×C3×Dic3—32no—
249C2×C3×Dic3—62no—
250C2×C3×Dic3—62no—
251C2×C3×Dic3—64no—
252C2×C3×Dic3C22×D312yes—
253C2×C3×Dic3C22×D312yes—
254C2×C3×Dic3C22×D311yescharacteristic
255C2×C3×Dic3C22×D311yescharacteristic
256C3×D12—22no—
257C3×D12—22no—
258C3×D12—42no—
259C3×D12—64no—
260C3×D12—62no—
261C3×D12—62no—
262C3×D12—122no—
263C3×C4×D3—24no—
264C3×C4×D3—64no—
265C3×C4×D3#6714yes—
266C3×C4×D3#6714yes—
267C3×Dic6—22no—
268C3×Dic6—22no—
269C3×Dic6—42no—
270C3×Dic6—64no—
271C3×Dic6—62no—
272C3×Dic6—62no—
273C3×Dic6—64no—
274C3×Dic6—122no—
275#627—24no—
276#626—24no—
277D3×Dic3—24no—
278D3×Dic3—68no—
279D3×Dic3—64no—
280D3×Dic3—64no—
281C2×#124—271noSylow
282C2×C33C22×D411yescharacteristic
283C2×C33C2×#4112yes—
284C3×C3⋊D3—42no—
285C32×D3—42no—
286C32×D3#12414yescomplemented
287C24×C3—92no—
288C23×D3—32no—
289C23×D3—32no—
290C2×C3×Q8—31no—
291C2×C3×Q8—31no—
292C2×C3×Q8—61no—
293C2×C3×Q8—92no—
294C2×C3×Q8—91no—
295C2×C3×Q8—184no—
296C2×C3×D4—31no—
297C2×C3×D4—31no—
298C2×C3×D4—61no—
299C2×C3×D4—92no—
300C2×C3×D4—91no—
301C2×C3×D4—184no—
302C22×C3×C4—31no—
303C22×C3×C4—31no—
304C22×C3×C4—61no—
305C22×C3×C4—92no—
306C2×#67—32no—
307C22×Dic3—32no—
308C22×Dic3—92no—
309C22×Dic3—92no—
310C22×Dic3—182no—
311D3×Q8—64no—
312D3×D4—64no—
313C2×D12—32no—
314C2×D12—31no—
315C2×D12—31no—
316C2×D12—61no—
317C2×D12—64no—
318C2×D12D3211yescharacteristic
319C2×C4×D3—32no—
320C2×C4×D3—92no—
321C2×C4×D3D3211yescharacteristic
322C2×Dic6—31no—
323C2×Dic6—31no—
324C2×Dic6—32no—
325C2×Dic6—32no—
326C2×Dic6—61no—
327C2×Dic6—64no—
328C2×Dic6D3211yescharacteristic, complemented
329C3×C22⋊C4—94no—
330C3×C42—91no—
331#217—34no—
332#217—94no—
333#217—94no—
334#217—94no—
335#217—94no—
336#217—184no—
337(C2×D3)⋊C4—34no—
338(C2×D3)⋊C4—94no—
339(C2×D3)⋊C4—94no—
340(C2×D3)⋊C4—94no—
341(C2×D3)⋊C4—94no—
342(C2×D3)⋊C4—94no—
343(C2×D3)⋊C4—184no—
344C4×Dic3—31no—
345C4×Dic3—31no—
346C4×Dic3—61no—
347C4×Dic3—92no—
348C4×Dic3—92no—
349C4×Dic3—91no—
350C4×Dic3—91no—
351C4×Dic3—91no—
352C4×Dic3—92no—
353C4×Dic3—182no—
354C4×Dic3—181no—
355C4×Dic3—181no—
356C4×Dic3—181no—
357C4×Dic3—361no—
358C22×C32—21no—
359C22×C32—21no—
360C22×C32—21no—
361C22×C32—32no—
362C22×C32—34no—
363C22×C32—41no—
364C22×C32—64no—
365C22×C32—62no—
366C22×C32C23×D311yescharacteristic
367C22×C32C23×D311yescharacteristic
368C22×C32C23×D311yescharacteristic
369C2×C3⋊D3—24no—
370C2×C3⋊D3—22no—
371C2×C3×D3—22no—
372C2×C3×D3—24no—
373C2×C3×D3—24no—
374C2×C3×D3—22no—
375C2×C3×D3—24no—
376C2×C3×D3—22no—
377C2×C3×D3—42no—
378C2×C3×D3—44no—
379C2×C3×D3—62no—
380C2×C3×D3—64no—
381C2×C3×D3—64no—
382C2×C3×D3—62no—
383C2×C3×D3—122no—
384C2×C3×D3—124no—
385C2×C3×D3—128no—
386C2×C3×D3—128no—
387C2×C3×D3#23714yes—
388C2×C3×D3#23914yes—
389C2×C3×D3C2×#6712yes—
390C2×C3×D3C2×#6712yes—
391D32—48no—
392C32×C4—22no—
393C32×C4—22no—
394C32×C4—22no—
395C32×C4—32no—
396C32×C4—42no—
397C32×C4—62no—
398C32×C4D3×D412yes—
399C32×C4C2×#6712yes—
400C32×C4C2×#6712yes—
401C3⋊Dic3—22no—
402C3⋊Dic3—22no—
403C3⋊Dic3—62no—
404C3⋊Dic3—64no—
405C3⋊Dic3—62no—
406C3⋊Dic3—62no—
407C3⋊Dic3—122no—
408C3⋊Dic3—122no—
409C3⋊Dic3—124no—
410C3×Dic3—22no—
411C3×Dic3—22no—
412C3×Dic3—22no—
413C3×Dic3—42no—
414C3×Dic3—64no—
415C3×Dic3—62no—
416C3×Dic3—62no—
417C3×Dic3—62no—
418C3×Dic3—62no—
419C3×Dic3—122no—
420C3×Dic3C2×#6712yes—
421C3×Dic3C2×#6712yes—
422C22×Q8—91no—
423C22×D4—91no—
424#124—91no—
425#124—271no—
426#124—274no—
427#124—271no—
428#124—271no—
429C2×C22⋊C4—274no—
430C2×C42—271no—
431C33C2×#12411yescharacteristic, complemented, Sylow
432C23×C3—31no—
433C23×C3—31no—
434C23×C3—32no—
435C23×C3—32no—
436C23×C3—61no—
437C23×C3—62no—
438C23×C3—92no—
439C23×C3—184no—
440C23×C3—188no—
441C22×D3—32no—
442C22×D3—32no—
443C22×D3—62no—
444C22×D3—64no—
445C22×D3—68no—
446C22×D3—68no—
447C22×D3—64no—
448C22×D3C2×D3212yes—
449C22×D3C2×D3211yescharacteristic
450C3×Q8—62no—
451C3×Q8—62no—
452C3×Q8—122no—
453C3×Q8—184no—
454C3×Q8—182no—
455C3×D4—62no—
456C3×D4—62no—
457C3×D4—122no—
458C3×D4—184no—
459C3×D4—182no—
460C2×C3×C4—21no—
461C2×C3×C4—21no—
462C2×C3×C4—21no—
463C2×C3×C4—31no—
464C2×C3×C4—31no—
465C2×C3×C4—34no—
466C2×C3×C4—34no—
467C2×C3×C4—32no—
468C2×C3×C4—32no—
469C2×C3×C4—41no—
470C2×C3×C4—64no—
471C2×C3×C4—61no—
472C2×C3×C4—62no—
473C2×C3×C4—92no—
474C2×C3×C4—92no—
475C2×C3×C4—184no—
476C2×C3×C4C2×D3211yescharacteristic
477C2×C3×C4C2×D3211yescharacteristic
478C2×C3×C4C2×D3211yescharacteristic
479#67—64no—
480C2×Dic3—32no—
481C2×Dic3—32no—
482C2×Dic3—32no—
483C2×Dic3—32no—
484C2×Dic3—62no—
485C2×Dic3—62no—
486C2×Dic3—64no—
487C2×Dic3—92no—
488C2×Dic3—92no—
489C2×Dic3—92no—
490C2×Dic3—182no—
491C2×Dic3—182no—
492C2×Dic3—182no—
493C2×Dic3—184no—
494C2×Dic3—184no—
495C2×Dic3—188no—
496C2×Dic3—362no—
497C2×Dic3C2×D3212yes—
498C2×Dic3C2×D3211yescharacteristic
499D12—22no—
500D12—64no—
501D12—62no—
502D12—62no—
503D12—122no—
504C4×D3—64no—
505C4×D3—184no—
506C4×D3#62514yes—
507Dic6—22no—
508Dic6—64no—
509Dic6—62no—
510Dic6—62no—
511Dic6—64no—
512Dic6—122no—
513C2×C32—22no—
514C2×C32—22no—
515C2×C32—22no—
516C2×C32—21no—
517C2×C32—21no—
518C2×C32—21no—
519C2×C32—34no—
520C2×C32—41no—
521C2×C32—42no—
522C2×C32—122no—
523C2×C32C2×D3×D411yescharacteristic
524C2×C32C2×#23712yes—
525C2×C32C2×#23912yes—
526C2×C32D3×#4112yes—
527C2×C32C22×#6711yescharacteristic
528C2×C32C22×#6711yescharacteristic
529C3⋊D3—42no—
530C3×D3—24no—
531C3×D3—42no—
532C3×D3—42no—
533C3×D3—82no—
534C3×D3—122no—
535C3×D3—122no—
536C3×D3—242no—
537C3×D3#93614yescomplemented
538C3×D3#94714yescomplemented
539C24—92no—
540C2×Q8—31no—
541C2×Q8—92no—
542C2×Q8—91no—
543C2×Q8—184no—
544C2×D4—31no—
545C2×D4—92no—
546C2×D4—91no—
547C2×D4—184no—
548C22×C4—31no—
549C22×C4—92no—
550C22×C4—272no—
551C22⋊C4—94no—
552C22⋊C4—274no—
553C22⋊C4—274no—
554C22⋊C4—274no—
555C42—91no—
556C42—272no—
557C42—271no—
558C22×C3—21no—
559C22×C3—21no—
560C22×C3—21no—
561C22×C3—34no—
562C22×C3—34no—
563C22×C3—32no—
564C22×C3—32no—
565C22×C3—41no—
566C22×C3—64no—
567C22×C3—62no—
568C22×C3—64no—
569C22×C3—64no—
570C22×C3—62no—
571C22×C3—62no—
572C22×C3—122no—
573C22×C3—124no—
574C22×C3—184no—
575C22×C3—182no—
576C22×C3—368no—
577C22×C3C22×D3211yescharacteristic
578C22×C3C22×D3211yescharacteristic
579C22×C3C22×D3211yescharacteristic
580C2×D3—24no—
581C2×D3—22no—
582C2×D3—64no—
583C2×D3—64no—
584C2×D3—62no—
585C2×D3—62no—
586C2×D3—122no—
587C2×D3—124no—
588C2×D3—128no—
589C2×D3—128no—
590C2×D3#379614yes—
591C2×D3C2×#62512yes—
592C3×C4—22no—
593C3×C4—22no—
594C3×C4—22no—
595C3×C4—32no—
596C3×C4—32no—
597C3×C4—42no—
598C3×C4—62no—
599C3×C4—62no—
600C3×C4—62no—
601C3×C4—122no—
602C3×C4—182no—
603C3×C4—182no—
604C3×C4C2×#62512yes—
605C3×C4D3×#6712yes—
606C3×C4D3×#6712yes—
607Dic3—22no—
608Dic3—64no—
609Dic3—62no—
610Dic3—62no—
611Dic3—62no—
612Dic3—62no—
613Dic3—122no—
614Dic3—184no—
615Dic3—182no—
616Dic3—182no—
617Dic3—182no—
618Dic3—362no—
619Dic3—362no—
620Dic3—364no—
621Dic3C2×#62512yes—
622C32—21no—
623C32—21no—
624C32—21no—
625C32—41no—
626C32D3×#12411yescharacteristic, complemented
627C32C2×#93611yescharacteristic, complemented
628C32C2×#94711yescharacteristic, complemented
629C23—31no—
630C23—32no—
631C23—92no—
632C23—184no—
633C23—188no—
634Q8—62no—
635Q8—184no—
636Q8—182no—
637D4—62no—
638D4—184no—
639D4—182no—
640C2×C4—31no—
641C2×C4—34no—
642C2×C4—32no—
643C2×C4—92no—
644C2×C4—92no—
645C2×C4—184no—
646C2×C4—272no—
647C2×C4—544no—
648C2×C4D3311yescharacteristic
649C2×C3—22no—
650C2×C3—22no—
651C2×C3—22no—
652C2×C3—21no—
653C2×C3—21no—
654C2×C3—21no—
655C2×C3—34no—
656C2×C3—34no—
657C2×C3—42no—
658C2×C3—41no—
659C2×C3—64no—
660C2×C3—122no—
661C2×C3—122no—
662C2×C3—242no—
663C2×C3—362no—
664C2×C3C2×#379612yes—
665C2×C3D3×#23712yes—
666C2×C3D3×#23912yes—
667C2×C3C22×#62511yescharacteristic
668C2×C3C2×D3×#6711yescharacteristic
669C2×C3C2×D3×#6711yescharacteristic
670D3—42no—
671D3—122no—
672D3—122no—
673D3—242no—
674D3#6386314yesdirect product factor
675C22—34no—
676C22—32no—
677C22—64no—
678C22—62no—
679C22—184no—
680C22—182no—
681C22—368no—
682C22C2×D3311yescharacteristic
683C4—32no—
684C4—62no—
685C4—182no—
686C4—182no—
687C4—542no—
688C4D3×#62512yes—
689C3—21no—
690C3—21no—
691C3—21no—
692C3—41no—
693C3C2×#6386311yescharacteristic, complemented
694C3D3×#93611yescharacteristic, complemented
695C3D3×#94711yescharacteristic, complemented
696C2—34no—
697C2—122no—
698C2—362no—
699C2D3×#379612yes—
700C2C2×D3×#62511yescharacteristic
subgroupG/H
center, FrattiniC22C2×D33
commutator, socle, cosocleC22×C33C24
FittingC2×C33×C4C23
prime radicalC2×C3×D3×D12C2
hypercenterC2×C4D33
hypocenterC33C2×#124
LCSG ▷ C22×C33 ▷ C33
UCSC1 ◁ C22 ◁ C2×C4

Complements

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

NH ≅ G/Ntype
2. C2×C3×D3×Dic6C2semidirect
3. #11723677C2semidirect
4. C4×D3×C3⋊Dic3C2semidirect
5. #11723436C2semidirect
6. #11723434C2semidirect
7. C3×#63863C2semidirect
8. #11723001C2semidirect
9. D3×(C2×D3)⋊Dic3C2semidirect
15. C2×C3×#634C22semidirect
18. C2×C32×Dic6C22semidirect
20. C2×C3×#627C22semidirect
25. C4×C3⋊(C3⋊Dic3)C22semidirect
26. C3×C4×C3⋊Dic3C22semidirect
27. #88814C22semidirect
28. #88803C22semidirect
29. (C2×D3)⋊(C3⋊Dic3)C22semidirect
30. Dic3×C3⋊Dic3C22semidirect
31. C3×(C2×D3)⋊Dic3C22semidirect
37. C2×D3×Dic6D3semidirect
60. #63863D3direct (N × H)
93. C2×#634C2×D3semidirect
117. C2×C3×Dic6C2×D3semidirect
118. C2×C3×Dic6C2×D3semidirect
119. C2×#627C2×D3semidirect
137. C4×C3⋊Dic3C2×D3semidirect
152. (C2×D3)⋊Dic3C2×D3semidirect
286. C32×D3#124semidirect
328. C2×Dic6D32semidirect
431. C33C2×#124semidirect
537. C3×D3#936semidirect
538. C3×D3#947semidirect
626. C32D3×#124semidirect
627. C32C2×#936semidirect
628. C32C2×#947semidirect
674. D3#63863direct (N × H)
693. C3C2×#63863semidirect
694. C3D3×#936semidirect
695. C3D3×#947semidirect

Maximal subgroups

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

subgroupindex
C2×C3×D3×D122
C2×C3×D3×Dic62
#117236772
C4×D3×C3⋊Dic32
#117234362
#117234342
C3×#638632
#117230012
D3×(C2×D3)⋊Dic32
D3×#9473
D3×#9363
C2×#638633