Finite Group Databasebeta

← #13150874

Subgroups — #13150874

Order 1728.

1275 conjugacy classes of subgroups.

The subgroup lattice has 675 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×(C3⋊D3)⋊C3C211yesmaximal, characteristic, complemented
2C2×#88676C211yesmaximal, characteristic
3#11721829C211yesmaximal, characteristic, complemented
4#64138⋊C3C211yesmaximal, characteristic, complemented
5#11721310C211yesmaximal, characteristic, complemented
6#11721306C211yesmaximal, characteristic, complemented
7#11721301C211yesmaximal, characteristic, complemented
8#11721160C212yesmaximal, complemented
9#11721139C212yesmaximal, complemented
10#11721119C212yesmaximal, complemented
11#11721100C212yesmaximal, complemented
12#10595079—31nomaximal
13D3×#929—31nomaximal
14C23×(C3⋊D3)⋊C3C2211yescharacteristic
15C22×((C3⋊D3)⋊C3)⋊C2C2211yescharacteristic
16C22×C4×H(3,𝔽3)C2211yescharacteristic, complemented
17C2×#6235C2211yescharacteristic
18C2×#638⋊C3C2211yescharacteristic
19C22×(C3⋊Dic3)⋊C3C2211yescharacteristic, complemented
20C2×C4×(C3⋊D3)⋊C3—24no—
21C2×C4×(C3⋊D3)⋊C3C2212yes—
22C2×C4×(C3⋊D3)⋊C3C2212yescomplemented
23#88676—24no—
24C2×#6200C2211yescharacteristic
25C2×#6198C2211yescharacteristic
26C2×((C3⋊D3)⋊C3)⋊C4C2211yescharacteristic
27C2×((C3⋊D3)⋊C3)⋊C4C2212yes—
28#88552C2211yescharacteristic, complemented
29#88542C2212yescomplemented
30#88540C2212yescomplemented
31#3757⋊C3C2211yescharacteristic, complemented
32#3752⋊C3C2212yescomplemented
33#3750⋊C3C2212yescomplemented
34#88451C2212yescomplemented
35#88450C2212yescomplemented
36#88450C2212yescomplemented
37#88449C2212yescomplemented
38#88448C2212yescomplemented
39C22×C4×C3⋊D3D311yescharacteristic, complemented
40C22×C3×C4×D3—31no—
41C2×#3811—31no—
42C2×D3×#67—31no—
43#64138D311yescharacteristic, complemented
44C3×#929—31no—
45C3×#929—31no—
46C3×#929—31no—
47C3×#929—61no—
48#63974—31no—
49D3×#217—31no—
50#63966—31no—
51#63962—31no—
52#63962—31no—
53#63961—31no—
54#63921—32no—
55D3×(C2×D3)⋊C4—32no—
56#63905—32no—
57#63883—32no—
58D3×Dic3⋊C4—32no—
59#63853—32no—
60#63853—32no—
61#63850—32no—
62C23×H(3,𝔽3)C2311yescharacteristic
63C22×#272C2311yescharacteristic
64C22×(C3⋊D3)⋊C3—24no—
65C22×(C3⋊D3)⋊C3D414yes—
66C22×(C3⋊D3)⋊C3C2311yescharacteristic
67C22×(C3⋊D3)⋊C3C2311yescharacteristic
68C22×(C3⋊D3)⋊C3C2311yescharacteristic
69C2×((C3⋊D3)⋊C3)⋊C2—22no—
70C2×((C3⋊D3)⋊C3)⋊C2—24no—
71C2×C4×H(3,𝔽3)—22no—
72C2×C4×H(3,𝔽3)C2312yes—
73#6235—22no—
74C2×#1084C2311yescharacteristic
75C2×#1084C2312yes—
76#638⋊C3—22no—
77C2×(C3⋊Dic3)⋊C3—22no—
78C2×(C3⋊Dic3)⋊C3C2311yescharacteristic
79C2×(C3⋊Dic3)⋊C3C2312yes—
80C2×(C3⋊Dic3)⋊C3C2312yes—
81C4×(C3⋊D3)⋊C3—24no—
82C4×(C3⋊D3)⋊C3—24no—
83#6200—22no—
84#6198—22no—
85((C3⋊D3)⋊C3)⋊C4—22no—
86((C3⋊D3)⋊C3)⋊C4—24no—
87C2×#929—91no—
88D3×#123—91no—
89D3×#123—91no—
90C23×C3⋊D3C2×D311yescharacteristic
91C23×C3×D3—31no—
92C22×D32—31no—
93C22×D32—31no—
94C22×C32×C4—21no—
95C22×C32×C4C2×D311yescharacteristic, complemented
96C22×C32×C4C2×D311yescharacteristic, complemented
97C2×#638C2×D311yescharacteristic
98C22×C3⋊Dic3C2×D311yescharacteristic, complemented
99C2×C4×C3⋊D3—24no—
100C2×C4×C3⋊D3C2×D312yes—
101C2×C4×C3⋊D3C2×D312yescomplemented
102C2×C3×#67—31no—
103C2×C3×#67—31no—
104C2×C3×#67—31no—
105C2×C3×#67—61no—
106C22×C3×Dic3—31no—
107C2×C3×C4×D3—32no—
108C2×C3×C4×D3—32no—
109C2×C3×C4×D3—64no—
110#3811—64no—
111D3×#67—64no—
112C2×#626—31no—
113C2×#626—31no—
114C2×#626—31no—
115C2×#625—31no—
116C2×#624—31no—
117C2×#624—32no—
118C2×D3×Dic3—31no—
119C2×D3×Dic3—32no—
120#3757C2×D311yescharacteristic, complemented
121#3752C2×D312yescomplemented
122#3750C2×D312yescomplemented
123C3×#217—31no—
124C3×#217—31no—
125C3×#217—31no—
126C3×#217—61no—
127C3×(C2×D3)⋊C4—32no—
128C3×(C2×D3)⋊C4—32no—
129C3×(C2×D3)⋊C4—32no—
130C3×(C2×D3)⋊C4—62no—
131C3×Dic3⋊C4—32no—
132C3×Dic3⋊C4—32no—
133C3×Dic3⋊C4—32no—
134C3×Dic3⋊C4—62no—
135#3724—32no—
136Dic3⋊Dic3—32no—
137Dic3⋊Dic3—32no—
138Dic3⋊Dic3—32no—
139#3722—32no—
140#3722—32no—
141(C2×D3)⋊Dic3—32no—
142(C2×D3)⋊Dic3—32no—
143(C2×D3)⋊Dic3—32no—
144(C2×D3)⋊Dic3—32no—
145C22×H(3,𝔽3)—22no—
146C22×H(3,𝔽3)C2×D412yes—
147C22×H(3,𝔽3)C2411yescharacteristic
148C2×#272—21no—
149C2×#272—22no—
150C2×(C3⋊D3)⋊C3—22no—
151C2×(C3⋊D3)⋊C3—28no—
152C2×(C3⋊D3)⋊C3—21no—
153C2×(C3⋊D3)⋊C3—22no—
154C2×(C3⋊D3)⋊C3C2×D412yes—
155C2×(C3⋊D3)⋊C3C2×D412yes—
156C2×(C3⋊D3)⋊C3#4114yes—
157((C3⋊D3)⋊C3)⋊C2—44no—
158C4×H(3,𝔽3)—22no—
159#1084—21no—
160#1084—22no—
161(C3⋊Dic3)⋊C3—21no—
162(C3⋊Dic3)⋊C3—22no—
163(C3⋊Dic3)⋊C3—22no—
164C23×C3×C4—91no—
165C22×#67—91no—
166C2×D3×D4—91no—
167C2×D3×D4—91no—
168C22×C4×D3—31no—
169C22×C4×D3—91no—
170C3×#123—91no—
171C3×#123—91no—
172C2×#217—91no—
173#935—91no—
174#935—91no—
175#929—31no—
176#929—31no—
177#929—31no—
178#929—61no—
179#929—91no—
180#929—92no—
181#929—92no—
182#929—91no—
183#929—91no—
184C2×(C2×D3)⋊C4—92no—
185C2×Dic3⋊C4—92no—
186#894—92no—
187#894—92no—
188D3×C4⋊C4—92no—
189D3×C4⋊C4—92no—
190#886—91no—
191#886—91no—
192#883—92no—
193#883—92no—
194D3×C22⋊C4—92no—
195D3×C22⋊C4—92no—
196D3×C22⋊C4—91no—
197D3×C22⋊C4—91no—
198C23×C32—21no—
199C23×C32C22×D311yescharacteristic
200C23×C32C22×D311yescharacteristic
201C22×C3⋊D3—24no—
202C22×C3⋊D3#6714yes—
203C22×C3⋊D3C22×D311yescharacteristic
204C22×C3⋊D3C22×D311yescharacteristic
205C22×C3⋊D3C22×D311yescharacteristic
206C22×C3×D3—31no—
207C22×C3×D3—34no—
208C22×C3×D3—31no—
209C22×C3×D3—31no—
210C22×C3×D3—31no—
211C22×C3×D3—31no—
212C22×C3×D3—61no—
213C22×C3×D3—64no—
214C2×D32—64no—
215C2×D32—62no—
216C2×D32—64no—
217C2×D32—62no—
218C2×C32×C4—22no—
219C2×C32×C4—22no—
220C2×C32×C4—22no—
221C2×C32×C4—42no—
222C2×C32×C4C22×D312yes—
223C2×C32×C4C22×D312yes—
224#638—22no—
225C2×C3⋊Dic3—22no—
226C2×C3⋊Dic3C22×D312yes—
227C2×C3⋊Dic3C22×D312yes—
228C2×C3⋊Dic3C22×D311yescharacteristic
229C4×C3⋊D3—24no—
230C4×C3⋊D3—24no—
231C3×#67—62no—
232C3×#67—62no—
233C3×#67—62no—
234C3×#67—122no—
235C2×C3×Dic3—32no—
236C2×C3×Dic3—32no—
237C2×C3×Dic3—31no—
238C2×C3×Dic3—32no—
239C2×C3×Dic3—32no—
240C2×C3×Dic3—31no—
241C2×C3×Dic3—31no—
242C2×C3×Dic3—61no—
243C2×C3×Dic3—62no—
244C2×C3×Dic3—62no—
245C3×C4×D3—64no—
246C3×C4×D3—64no—
247#626—62no—
248#626—62no—
249#626—62no—
250#625—62no—
251#624—64no—
252#624—62no—
253D3×Dic3—64no—
254D3×Dic3—62no—
255C2×#123—271noSylow
256C2×H(3,𝔽3)—22no—
257C2×H(3,𝔽3)C22×D411yescharacteristic
258C2×H(3,𝔽3)C2×#4112yes—
259#272—41no—
260(C3⋊D3)⋊C3—22no—
261(C3⋊D3)⋊C3—41no—
262(C3⋊D3)⋊C3#12314yescomplemented
263C24×C3—91no—
264C23×D3—31no—
265C23×D3—91no—
266C23×D3—91no—
267C23×D3—91no—
268C23×D3—91no—
269C2×C3×D4—91no—
270C2×C3×D4—91no—
271C22×C3×C4—31no—
272C22×C3×C4—31no—
273C22×C3×C4—61no—
274C22×C3×C4—92no—
275C22×C3×C4—92no—
276C22×C3×C4—91no—
277C22×C3×C4—184no—
278C22×C3×C4D3211yescharacteristic
279C2×#67—31no—
280C2×#67—31no—
281C2×#67—31no—
282C2×#67—61no—
283C2×#67—91no—
284C2×#67—91no—
285C2×#67—91no—
286C2×#67—91no—
287C2×#67—91no—
288C2×#67—184no—
289C22×Dic3—31no—
290C22×Dic3—91no—
291C22×Dic3—91no—
292C22×Dic3—92no—
293D3×D4—184no—
294D3×D4—184no—
295C2×D12—91no—
296C2×D12—91no—
297C2×C4×D3—32no—
298C2×C4×D3—32no—
299C2×C4×D3—64no—
300C2×C4×D3—92no—
301C2×C4×D3—92no—
302C2×C4×D3—92no—
303C2×C4×D3—91no—
304C2×C4×D3—92no—
305C2×C4×D3—91no—
306C2×C4×D3—184no—
307C3×C4⋊C4—92no—
308C3×C4⋊C4—92no—
309C3×C22⋊C4—92no—
310C3×C22⋊C4—91no—
311C3×C22⋊C4—91no—
312C3×C22⋊C4—92no—
313#217—31no—
314#217—31no—
315#217—31no—
316#217—61no—
317#217—91no—
318#217—92no—
319#217—92no—
320#217—92no—
321(C2×D3)⋊C4—32no—
322(C2×D3)⋊C4—32no—
323(C2×D3)⋊C4—32no—
324(C2×D3)⋊C4—62no—
325(C2×D3)⋊C4—92no—
326(C2×D3)⋊C4—92no—
327(C2×D3)⋊C4—92no—
328(C2×D3)⋊C4—92no—
329(C2×D3)⋊C4—92no—
330(C2×D3)⋊C4—92no—
331(C2×D3)⋊C4—92no—
332C4⋊Dic3—92no—
333C4⋊Dic3—92no—
334Dic3⋊C4—32no—
335Dic3⋊C4—32no—
336Dic3⋊C4—32no—
337Dic3⋊C4—62no—
338Dic3⋊C4—92no—
339Dic3⋊C4—92no—
340Dic3⋊C4—92no—
341Dic3⋊C4—92no—
342Dic3⋊C4—92no—
343C22×C32—22no—
344C22×C32—22no—
345C22×C32—21no—
346C22×C32—22no—
347C22×C32—42no—
348C22×C32D3×D412yes—
349C22×C32C2×#6712yes—
350C22×C32C23×D311yescharacteristic
351C22×C32C23×D311yescharacteristic
352C2×C3⋊D3—22no—
353C2×C3⋊D3—28no—
354C2×C3⋊D3—21no—
355C2×C3⋊D3—22no—
356C2×C3⋊D3#23514yes—
357C2×C3⋊D3C2×#6712yes—
358C2×C3⋊D3C2×#6712yes—
359C2×C3×D3—32no—
360C2×C3×D3—34no—
361C2×C3×D3—32no—
362C2×C3×D3—68no—
363C2×C3×D3—62no—
364C2×C3×D3—62no—
365C2×C3×D3—62no—
366C2×C3×D3—61no—
367C2×C3×D3—62no—
368C2×C3×D3—61no—
369C2×C3×D3—61no—
370C2×C3×D3—121no—
371C2×C3×D3—122no—
372D32—124no—
373D32—124no—
374C32×C4—22no—
375C32×C4—22no—
376C32×C4—42no—
377C3⋊Dic3—21no—
378C3⋊Dic3—22no—
379C3⋊Dic3—22no—
380C3×Dic3—62no—
381C3×Dic3—62no—
382C3×Dic3—62no—
383C3×Dic3—61no—
384C3×Dic3—62no—
385C3×Dic3—61no—
386C3×Dic3—61no—
387C3×Dic3—122no—
388C3×Dic3—121no—
389C22×D4—271no—
390C23×C4—91no—
391#123—91no—
392#123—91no—
393#123—272no—
394#123—272no—
395#123—271no—
396#123—271no—
397C2×C4⋊C4—272no—
398C2×C22⋊C4—272no—
399C2×C22⋊C4—271no—
400H(3,𝔽3)C2×#12311yescharacteristic, complemented, Sylow
401C23×C3—31no—
402C23×C3—31no—
403C23×C3—61no—
404C23×C3—91no—
405C23×C3—91no—
406C23×C3—94no—
407C23×C3—91no—
408C23×C3—91no—
409C23×C3—184no—
410C23×C3C2×D3211yescharacteristic
411C22×D3—31no—
412C22×D3—31no—
413C22×D3—34no—
414C22×D3—31no—
415C22×D3—31no—
416C22×D3—31no—
417C22×D3—61no—
418C22×D3—64no—
419C22×D3—91no—
420C22×D3—94no—
421C22×D3—91no—
422C22×D3—91no—
423C22×D3—184no—
424C22×D3—182no—
425C22×D3—184no—
426C22×D3—182no—
427C22×D3—184no—
428C22×D3—182no—
429C22×D3—184no—
430C3×D4—182no—
431C3×D4—182no—
432C2×C3×C4—22no—
433C2×C3×C4—32no—
434C2×C3×C4—32no—
435C2×C3×C4—62no—
436C2×C3×C4—62no—
437C2×C3×C4—62no—
438C2×C3×C4—92no—
439C2×C3×C4—91no—
440C2×C3×C4—92no—
441C2×C3×C4—91no—
442C2×C3×C4—92no—
443C2×C3×C4—122no—
444C2×C3×C4—184no—
445C2×C3×C4—184no—
446C2×C3×C4—182no—
447C2×C3×C4C2×D3212yes—
448#67—62no—
449#67—62no—
450#67—62no—
451#67—122no—
452#67—182no—
453#67—182no—
454#67—182no—
455#67—182no—
456#67—182no—
457C2×Dic3—31no—
458C2×Dic3—31no—
459C2×Dic3—32no—
460C2×Dic3—32no—
461C2×Dic3—31no—
462C2×Dic3—32no—
463C2×Dic3—32no—
464C2×Dic3—61no—
465C2×Dic3—62no—
466C2×Dic3—62no—
467C2×Dic3—91no—
468C2×Dic3—92no—
469C2×Dic3—92no—
470C2×Dic3—182no—
471C2×Dic3—184no—
472C2×Dic3—182no—
473D12—182no—
474D12—182no—
475C4×D3—64no—
476C4×D3—64no—
477C4×D3—184no—
478C4×D3—184no—
479C4×D3—184no—
480C4×D3—182no—
481C4×D3—184no—
482C4×D3—182no—
483C2×C32—22no—
484C2×C32—22no—
485C2×C32—22no—
486C2×C32—21no—
487C2×C32—42no—
488C2×C32C2×#23512yes—
489C2×C32C2×D3×D411yescharacteristic
490C2×C32D3×#4112yes—
491C2×C32C22×#6711yescharacteristic
492C3⋊D3—22no—
493C3⋊D3—41no—
494C3⋊D3#92914yescomplemented
495C3×D3—34no—
496C3×D3—62no—
497C3×D3—121no—
498C3×D3—121no—
499C3×D3—121no—
500C3×D3—241no—
501C24—91no—
502C24—271no—
503C2×D4—91no—
504C2×D4—91no—
505C2×D4—271no—
506C2×D4—271no—
507C2×D4—544no—
508C22×C4—91no—
509C22×C4—92no—
510C22×C4—92no—
511C22×C4—184no—
512C22×C4—272no—
513C22×C4—271no—
514C22×C4((C3⋊D3)⋊C3)⋊C211yescharacteristic, complemented
515C4⋊C4—92no—
516C4⋊C4—92no—
517C4⋊C4—272no—
518C4⋊C4—272no—
519C22⋊C4—91no—
520C22⋊C4—91no—
521C22⋊C4—92no—
522C22⋊C4—92no—
523C22⋊C4—272no—
524C22⋊C4—272no—
525C22⋊C4—272no—
526C22×C3—22no—
527C22×C3—31no—
528C22×C3—31no—
529C22×C3—32no—
530C22×C3—32no—
531C22×C3—62no—
532C22×C3—62no—
533C22×C3—61no—
534C22×C3—62no—
535C22×C3—92no—
536C22×C3—94no—
537C22×C3—92no—
538C22×C3—122no—
539C22×C3—182no—
540C22×C3—181no—
541C22×C3—182no—
542C22×C3—188no—
543C22×C3—182no—
544C22×C3—181no—
545C22×C3D3×#6712yes—
546C22×C3C22×D3211yescharacteristic
547C2×D3—34no—
548C2×D3—32no—
549C2×D3—32no—
550C2×D3—68no—
551C2×D3—62no—
552C2×D3—61no—
553C2×D3—61no—
554C2×D3—62no—
555C2×D3—62no—
556C2×D3—62no—
557C2×D3—61no—
558C2×D3—92no—
559C2×D3—94no—
560C2×D3—92no—
561C2×D3—121no—
562C2×D3—122no—
563C2×D3—188no—
564C2×D3—182no—
565C2×D3—181no—
566C2×D3—182no—
567C2×D3—364no—
568C2×D3—364no—
569C2×D3—364no—
570C3×C4—22no—
571C3×C4—62no—
572C3×C4—62no—
573C3×C4—122no—
574C3×C4—181no—
575C3×C4—182no—
576C3×C4—182no—
577C3×C4—182no—
578C3×C4—181no—
579Dic3—61no—
580Dic3—62no—
581Dic3—61no—
582Dic3—62no—
583Dic3—62no—
584Dic3—62no—
585Dic3—61no—
586Dic3—121no—
587Dic3—122no—
588Dic3—182no—
589Dic3—181no—
590Dic3—182no—
591C32—21no—
592C32D3×#12311yescharacteristic, complemented
593C32C2×#92911yescharacteristic, complemented
594C23—91no—
595C23—91no—
596C23—94no—
597C23—91no—
598C23—91no—
599C23—184no—
600C23—542no—
601C23—544no—
602C23C2×((C3⋊D3)⋊C3)⋊C211yescharacteristic
603D4—182no—
604D4—182no—
605D4—542no—
606D4—542no—
607C2×C4—22no—
608C2×C4—92no—
609C2×C4—92no—
610C2×C4—92no—
611C2×C4—91no—
612C2×C4—91no—
613C2×C4—184no—
614C2×C4—184no—
615C2×C4—182no—
616C2×C4—542no—
617C2×C4—544no—
618C2×C4C2×((C3⋊D3)⋊C3)⋊C212yes—
619C2×C3—22no—
620C2×C3—31no—
621C2×C3—31no—
622C2×C3—32no—
623C2×C3—32no—
624C2×C3—62no—
625C2×C3—62no—
626C2×C3—61no—
627C2×C3—62no—
628C2×C3—94no—
629C2×C3—122no—
630C2×C3—182no—
631C2×C3—361no—
632C2×C3—361no—
633C2×C3D3×#23512yes—
634C2×C3C2×D3×#6711yescharacteristic
635D3—34no—
636D3—62no—
637D3—94no—
638D3—121no—
639D3—121no—
640D3—121no—
641D3—182no—
642D3—241no—
643D3—361no—
644C22—22no—
645C22—92no—
646C22—94no—
647C22—92no—
648C22—188no—
649C22—182no—
650C22—181no—
651C22—181no—
652C22—182no—
653C22—182no—
654C22—1084no—
655C22#8867612yes—
656C22C22×((C3⋊D3)⋊C3)⋊C211yescharacteristic
657C4—22no—
658C4—182no—
659C4—181no—
660C4—181no—
661C4—182no—
662C4—182no—
663C3—31no—
664C3—31no—
665C3—61no—
666C3D3×#92911yescharacteristic
667C2—22no—
668C2—94no—
669C2—182no—
670C2—361no—
671C2—361no—
672C2#1172249012yes—
673C2C2×#8867611yescharacteristic
subgroupG/H
centerC22C22×((C3⋊D3)⋊C3)⋊C2
commutator, cosocleC22×H(3,𝔽3)C24
Frattini, socleC22×C3C22×D32
FittingC22×C4×H(3,𝔽3)C22
prime radicalC2×#88676C2
hypercenterC22×C4((C3⋊D3)⋊C3)⋊C2
hypocenterH(3,𝔽3)C2×#123
LCSG ▷ C22×H(3,𝔽3) ▷ H(3,𝔽3)
UCSC1 ◁ C22 ◁ C22×C4

Complements

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

NH ≅ G/Ntype
1. C22×C4×(C3⋊D3)⋊C3C2semidirect
3. #11721829C2semidirect
4. #64138⋊C3C2semidirect
5. #11721310C2semidirect
6. #11721306C2semidirect
7. #11721301C2semidirect
8. #11721160C2semidirect
9. #11721139C2semidirect
10. #11721119C2semidirect
11. #11721100C2semidirect
16. C22×C4×H(3,𝔽3)C22semidirect
19. C22×(C3⋊Dic3)⋊C3C22semidirect
22. C2×C4×(C3⋊D3)⋊C3C22semidirect
28. #88552C22semidirect
29. #88542C22semidirect
30. #88540C22semidirect
31. #3757⋊C3C22semidirect
32. #3752⋊C3C22semidirect
33. #3750⋊C3C22semidirect
34. #88451C22semidirect
35. #88450C22semidirect
36. #88450C22semidirect
37. #88449C22semidirect
38. #88448C22semidirect
39. C22×C4×C3⋊D3D3semidirect
43. #64138D3semidirect
95. C22×C32×C4C2×D3semidirect
96. C22×C32×C4C2×D3semidirect
98. C22×C3⋊Dic3C2×D3semidirect
101. C2×C4×C3⋊D3C2×D3semidirect
120. #3757C2×D3semidirect
121. #3752C2×D3semidirect
122. #3750C2×D3semidirect
262. (C3⋊D3)⋊C3#123semidirect
400. H(3,𝔽3)C2×#123semidirect
494. C3⋊D3#929semidirect
514. C22×C4((C3⋊D3)⋊C3)⋊C2semidirect
592. C32D3×#123semidirect
593. C32C2×#929semidirect

Maximal subgroups

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

subgroupindex
C22×C4×(C3⋊D3)⋊C32
C2×#886762
#117218292
#64138⋊C32
#117213102
#117213062
#117213012
#117211602
#117211392
#117211192
#117211002
#105950793
D3×#9293