Finite Group Databasebeta

← #13178199

Subgroups — #13178199

Order 1728.

1270 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×C22⋊C4×C3⋊D3C211yesmaximal, characteristic
2C3×#64088C212yesmaximal, complemented
3#11723723C211yesmaximal, characteristic
4#11723723C211yesmaximal, characteristic
5#11723716C212yesmaximal, complemented
6#11723689C211yesmaximal, characteristic, complemented
7#11723682C211yesmaximal, characteristic, complemented
8#11723682C211yesmaximal, characteristic, complemented
9C4×#6294C211yesmaximal, characteristic, complemented
10#11723676C212yesmaximal, complemented
11#11723675C212yesmaximal, complemented
12#10594154—31nomaximal
13D3×#879—32nomaximal
14C23×C3×C3⋊D3C2211yescharacteristic
15C2×C3×C4×C3⋊D3C2211yescharacteristic
16C2×C3×C4×C3⋊D3C2211yescharacteristic
17C2×#6294C2211yescharacteristic
18C2×#6294C2211yescharacteristic
19C2×#6294C2211yescharacteristic
20C2×#6294C2211yescharacteristic
21C33×C22⋊C4C2211yescharacteristic
22C3×#3757C2212yes—
23C3×#3757C2212yes—
24C3×#3757C2211yescharacteristic
25C3×#3752C2211yescharacteristic
26C3×#3752C2211yescharacteristic
27C3×C4⋊(C3⋊Dic3)C2212yescomplemented
28C3×#3750C2212yescomplemented
29C3×#3750C2212yescomplemented
30C3×C4×C3⋊Dic3C2212yescomplemented
31#88815C2212yescomplemented
32#88815C2212yescomplemented
33#88815C2212yescomplemented
34#88814C2212yes—
35#88814C2212yes—
36#88813C2212yescomplemented
37C22⋊C4×C3⋊D3D311yescharacteristic
38#64088D312yescomplemented
39C3×D3×C22⋊C4—32no—
40C3×D3×C22⋊C4—61no—
41C3×#879—32no—
42C3×#879—32no—
43C3×#879—62no—
44#63974—31no—
45#63974—31no—
46D3×#217—32no—
47D3×#217—32no—
48#63956—32no—
49#63956—32no—
50#63956—32no—
51#63900—31no—
52D3×C4⋊Dic3—32no—
53#63883—31no—
54#63883—31no—
55C4×#624—31no—
56D3×Dic3⋊C4—32no—
57D3×Dic3⋊C4—32no—
58C4×D3×Dic3—32no—
59#63868—32no—
60#63862—32no—
61#63861—32no—
62#63859—32no—
63#63858—32no—
64#63848—32no—
65C23×C33C2311yescharacteristic
66C22×C3×C3⋊D3—22no—
67C22×C3×C3⋊D3—22no—
68C22×C3×C3⋊D3—22no—
69C22×C3×C3⋊D3C2311yescharacteristic
70C22×C3×C3⋊D3C2311yescharacteristic
71C2×C33×C4C2311yescharacteristic
72C2×C33×C4C2311yescharacteristic
73C2×C3×C3⋊Dic3C2312yes—
74C2×C3×C3⋊Dic3C2312yes—
75C2×C3×C3⋊Dic3C2312yes—
76C2×C3×C3⋊Dic3C2312yes—
77C2×C3×C3⋊Dic3C2311yescharacteristic
78C2×C3×C3⋊Dic3C2311yescharacteristic
79C3×C4×C3⋊D3—22no—
80C3×C4×C3⋊D3—22no—
81#6294—22no—
82#6294—22no—
83#6294—22no—
84#6294—22no—
85D3×#126—92no—
86C2×#879—91no—
87C23×C3⋊D3C2×D311yescharacteristic
88C23×C3×D3—32no—
89C23×C3×D3—61no—
90C2×C4×C3⋊D3C2×D311yescharacteristic
91C2×C4×C3⋊D3C2×D311yescharacteristic
92C2×C3×C4×D3—32no—
93C2×C3×C4×D3—32no—
94C2×C3×C4×D3—61no—
95C2×C3×C4×D3—61no—
96C2×#624—31no—
97C2×#624—31no—
98C2×#624—31no—
99C2×#624—31no—
100C2×D3×Dic3—32no—
101C2×D3×Dic3—32no—
102C2×D3×Dic3—32no—
103C2×D3×Dic3—32no—
104C32×C22⋊C4—22no—
105C32×C22⋊C4—21no—
106C32×C22⋊C4—41no—
107C32×C22⋊C4C2×D311yescharacteristic
108C32×C22⋊C4C2×D312yes—
109#3757C2×D312yes—
110#3757C2×D312yes—
111#3757C2×D311yescharacteristic
112#3752C2×D311yescharacteristic
113#3752C2×D311yescharacteristic
114C4⋊(C3⋊Dic3)C2×D312yescomplemented
115#3750C2×D312yescomplemented
116#3750C2×D312yescomplemented
117C4×C3⋊Dic3C2×D312yescomplemented
118C3×#217—32no—
119C3×#217—32no—
120C3×#217—32no—
121C3×#217—32no—
122C3×#217—32no—
123C3×#217—62no—
124C3×#217—62no—
125C3×#217—61no—
126C3×(C2×D3)⋊C4—32no—
127C3×(C2×D3)⋊C4—32no—
128C3×(C2×D3)⋊C4—61no—
129C3×(C2×D3)⋊C4—61no—
130C3×C4⋊Dic3—32no—
131C3×C4⋊Dic3—32no—
132C3×C4⋊Dic3—62no—
133C3×Dic3⋊C4—32no—
134C3×Dic3⋊C4—32no—
135C3×Dic3⋊C4—32no—
136C3×Dic3⋊C4—32no—
137C3×Dic3⋊C4—62no—
138C3×Dic3⋊C4—62no—
139C3×C4×Dic3—32no—
140C3×C4×Dic3—32no—
141C3×C4×Dic3—62no—
142#3724—32no—
143#3724—32no—
144#3724—32no—
145Dic3⋊Dic3—32no—
146Dic3⋊Dic3—32no—
147Dic3⋊Dic3—32no—
148Dic3⋊Dic3—32no—
149Dic3⋊Dic3—32no—
150Dic3⋊Dic3—32no—
151#3722—32no—
152#3722—32no—
153(C2×D3)⋊Dic3—32no—
154(C2×D3)⋊Dic3—32no—
155(C2×D3)⋊Dic3—32no—
156(C2×D3)⋊Dic3—32no—
157Dic32—32no—
158Dic32—32no—
159Dic32—32no—
160C22×C33—21no—
161C22×C33—21no—
162C22×C33—21no—
163C22×C33C2411yescharacteristic
164C2×C3×C3⋊D3—21no—
165C2×C3×C3⋊D3—21no—
166C2×C3×C3⋊D3—21no—
167C2×C3×C3⋊D3—44no—
168C2×C3×C3⋊D3#4112yes—
169C2×C3×C3⋊D3#4112yes—
170C2×C3×C3⋊D3#4112yes—
171C33×C4—21no—
172C33×C4—21no—
173C3×C3⋊Dic3—22no—
174C3×C3⋊Dic3—22no—
175C3×C3⋊Dic3—22no—
176C3×C3⋊Dic3—22no—
177C3×C3⋊Dic3—21no—
178C3×C3⋊Dic3—21no—
179C3×#126—92no—
180C2×C3×C22⋊C4—91no—
181C2×#217—91no—
182C2×#217—91no—
183C2×C4⋊Dic3—91no—
184C2×Dic3⋊C4—91no—
185C2×Dic3⋊C4—91no—
186C2×C4×Dic3—91no—
187#898—92no—
188#898—92no—
189#898—92no—
190D3×C4⋊C4—92no—
191D3×C4⋊C4—92no—
192D3×C4⋊C4—92no—
193D3×C22⋊C4—32no—
194D3×C22⋊C4—61no—
195D3×C22⋊C4—92no—
196D3×C22⋊C4—92no—
197#879—32no—
198#879—32no—
199#879—62no—
200#879—92no—
201#879—92no—
202#879—92no—
203#879—92no—
204#879—92no—
205#876—92no—
206C42×D3—92no—
207C23×C32—21no—
208C23×C32—22no—
209C23×C32—41no—
210C23×C32C22×D312yes—
211C23×C32C22×D311yescharacteristic
212C22×C3⋊D3—22no—
213C22×C3⋊D3—22no—
214C22×C3⋊D3—22no—
215C22×C3⋊D3C22×D311yescharacteristic
216C22×C3⋊D3C22×D311yescharacteristic
217C22×C3×D3—32no—
218C22×C3×D3—32no—
219C22×C3×D3—61no—
220C22×C3×D3—61no—
221C22×C3×D3—64no—
222C22×C3×D3—64no—
223C22×C3×D3—64no—
224C22×C3×D3—64no—
225C22×C3×D3—122no—
226C22×C3×D3—122no—
227C2×C32×C4—22no—
228C2×C32×C4—22no—
229C2×C32×C4—21no—
230C2×C32×C4—21no—
231C2×C32×C4—41no—
232C2×C32×C4—41no—
233C2×C32×C4C22×D311yescharacteristic
234C2×C32×C4C22×D312yes—
235C2×C32×C4C22×D311yescharacteristic
236C2×C32×C4C22×D312yes—
237C2×C3⋊Dic3C22×D311yescharacteristic
238C2×C3⋊Dic3C22×D312yes—
239C2×C3⋊Dic3C22×D312yes—
240C2×C3⋊Dic3C22×D312yes—
241C2×C3⋊Dic3C22×D312yes—
242C2×C3⋊Dic3C22×D311yescharacteristic
243C4×C3⋊D3—22no—
244C4×C3⋊D3—22no—
245C2×C3×Dic3—32no—
246C2×C3×Dic3—32no—
247C2×C3×Dic3—32no—
248C2×C3×Dic3—32no—
249C2×C3×Dic3—32no—
250C2×C3×Dic3—32no—
251C2×C3×Dic3—32no—
252C2×C3×Dic3—32no—
253C2×C3×Dic3—32no—
254C2×C3×Dic3—32no—
255C2×C3×Dic3—62no—
256C2×C3×Dic3—62no—
257C2×C3×Dic3—62no—
258C2×C3×Dic3—62no—
259C2×C3×Dic3—61no—
260C2×C3×Dic3—61no—
261C3×C4×D3—64no—
262C3×C4×D3—64no—
263C3×C4×D3—122no—
264C3×C4×D3—122no—
265#624—62no—
266#624—62no—
267#624—62no—
268#624—62no—
269D3×Dic3—64no—
270D3×Dic3—64no—
271D3×Dic3—64no—
272D3×Dic3—64no—
273C2×#126—271noSylow
274C2×C33—41no—
275C2×C33C2×#4111yescharacteristic
276C2×C33C2×#4111yescharacteristic
277C2×C33C2×#4111yescharacteristic
278C3×C3⋊D3—41no—
279C3×C3⋊D3#12614yescomplemented
280C24×C3—91no—
281C23×D3—32no—
282C23×D3—61no—
283C22×C3×C4—91no—
284C22×C3×C4—91no—
285C22×Dic3—91no—
286C22×Dic3—91no—
287C22×Dic3—91no—
288C22×Dic3—91no—
289C2×C4×D3—32no—
290C2×C4×D3—32no—
291C2×C4×D3—61no—
292C2×C4×D3—61no—
293C2×C4×D3—92no—
294C2×C4×D3—92no—
295C2×C4×D3—92no—
296C2×C4×D3—92no—
297C3×C4⋊C4—92no—
298C3×C4⋊C4—92no—
299C3×C4⋊C4—92no—
300C3×C22⋊C4—22no—
301C3×C22⋊C4—21no—
302C3×C22⋊C4—41no—
303C3×C22⋊C4—91no—
304C3×C22⋊C4—92no—
305C3×C22⋊C4—92no—
306C3×C22⋊C4—91no—
307C3×C22⋊C4—91no—
308C3×C22⋊C4D3211yescharacteristic
309C3×C22⋊C4D3212yes—
310C3×C42—92no—
311#217—32no—
312#217—32no—
313#217—32no—
314#217—32no—
315#217—32no—
316#217—62no—
317#217—62no—
318#217—61no—
319#217—92no—
320#217—92no—
321(C2×D3)⋊C4—32no—
322(C2×D3)⋊C4—32no—
323(C2×D3)⋊C4—61no—
324(C2×D3)⋊C4—61no—
325(C2×D3)⋊C4—92no—
326(C2×D3)⋊C4—92no—
327(C2×D3)⋊C4—92no—
328(C2×D3)⋊C4—92no—
329C4⋊Dic3—32no—
330C4⋊Dic3—32no—
331C4⋊Dic3—62no—
332C4⋊Dic3—92no—
333C4⋊Dic3—92no—
334C4⋊Dic3—92no—
335Dic3⋊C4—32no—
336Dic3⋊C4—32no—
337Dic3⋊C4—32no—
338Dic3⋊C4—32no—
339Dic3⋊C4—62no—
340Dic3⋊C4—62no—
341Dic3⋊C4—92no—
342Dic3⋊C4—92no—
343Dic3⋊C4—92no—
344Dic3⋊C4—92no—
345Dic3⋊C4—92no—
346Dic3⋊C4—92no—
347C4×Dic3—32no—
348C4×Dic3—32no—
349C4×Dic3—62no—
350C4×Dic3—92no—
351C4×Dic3—92no—
352C4×Dic3—92no—
353C22×C32—21no—
354C22×C32—22no—
355C22×C32—21no—
356C22×C32—21no—
357C22×C32—22no—
358C22×C32—22no—
359C22×C32—22no—
360C22×C32—22no—
361C22×C32—21no—
362C22×C32—41no—
363C22×C32—42no—
364C22×C32—42no—
365C22×C32—41no—
366C22×C32—41no—
367C22×C32—42no—
368C22×C32—42no—
369C22×C32—81no—
370C22×C32—81no—
371C22×C32C23×D311yescharacteristic
372C22×C32C23×D312yes—
373C2×C3⋊D3—21no—
374C2×C3⋊D3—21no—
375C2×C3⋊D3—21no—
376C2×C3⋊D3—44no—
377C2×C3⋊D3#23512yes—
378C2×C3⋊D3#23712yes—
379C2×C3⋊D3#23712yes—
380C2×C3×D3—34no—
381C2×C3×D3—34no—
382C2×C3×D3—34no—
383C2×C3×D3—62no—
384C2×C3×D3—62no—
385C2×C3×D3—62no—
386C2×C3×D3—62no—
387C2×C3×D3—62no—
388C2×C3×D3—62no—
389C2×C3×D3—62no—
390C2×C3×D3—121no—
391C2×C3×D3—121no—
392C2×C3×D3—128no—
393C2×C3×D3—128no—
394C32×C4—21no—
395C32×C4—21no—
396C32×C4—22no—
397C32×C4—22no—
398C32×C4—41no—
399C32×C4—41no—
400C32×C4—42no—
401C32×C4—42no—
402C32×C4—81no—
403C32×C4—81no—
404C3⋊Dic3—21no—
405C3⋊Dic3—21no—
406C3⋊Dic3—22no—
407C3⋊Dic3—22no—
408C3⋊Dic3—22no—
409C3⋊Dic3—22no—
410C3×Dic3—62no—
411C3×Dic3—62no—
412C3×Dic3—62no—
413C3×Dic3—62no—
414C3×Dic3—62no—
415C3×Dic3—62no—
416C3×Dic3—62no—
417C3×Dic3—62no—
418C3×Dic3—62no—
419C3×Dic3—62no—
420C3×Dic3—121no—
421C3×Dic3—121no—
422C3×Dic3—122no—
423C3×Dic3—122no—
424C3×Dic3—122no—
425C3×Dic3—122no—
426#126—92no—
427#126—272no—
428#126—272no—
429#126—272no—
430C2×C4⋊C4—271no—
431C2×C4⋊C4—271no—
432C2×C4⋊C4—271no—
433C2×C22⋊C4—91no—
434C2×C22⋊C4—271no—
435C2×C22⋊C4—271no—
436C2×C42—271no—
437C33C2×#12611yescharacteristic, complemented, Sylow
438C23×C3—21no—
439C23×C3—22no—
440C23×C3—41no—
441C23×C3—91no—
442C23×C3—91no—
443C23×C3—182no—
444C23×C3—182no—
445C23×C3—182no—
446C23×C3C2×D3211yescharacteristic
447C23×C3C2×D3212yes—
448C22×D3—32no—
449C22×D3—32no—
450C22×D3—61no—
451C22×D3—61no—
452C22×D3—64no—
453C22×D3—64no—
454C22×D3—64no—
455C22×D3—64no—
456C22×D3—122no—
457C22×D3—122no—
458C2×C3×C4—22no—
459C2×C3×C4—22no—
460C2×C3×C4—21no—
461C2×C3×C4—21no—
462C2×C3×C4—41no—
463C2×C3×C4—41no—
464C2×C3×C4—91no—
465C2×C3×C4—92no—
466C2×C3×C4—92no—
467C2×C3×C4—91no—
468C2×C3×C4—92no—
469C2×C3×C4—92no—
470C2×C3×C4—182no—
471C2×C3×C4—182no—
472C2×C3×C4C2×D3211yescharacteristic
473C2×C3×C4C2×D3212yes—
474C2×C3×C4C2×D3211yescharacteristic
475C2×C3×C4C2×D3212yes—
476C2×Dic3—32no—
477C2×Dic3—32no—
478C2×Dic3—32no—
479C2×Dic3—32no—
480C2×Dic3—32no—
481C2×Dic3—32no—
482C2×Dic3—32no—
483C2×Dic3—32no—
484C2×Dic3—32no—
485C2×Dic3—32no—
486C2×Dic3—62no—
487C2×Dic3—62no—
488C2×Dic3—62no—
489C2×Dic3—62no—
490C2×Dic3—61no—
491C2×Dic3—61no—
492C2×Dic3—182no—
493C2×Dic3—182no—
494C2×Dic3—182no—
495C2×Dic3—182no—
496C4×D3—64no—
497C4×D3—64no—
498C4×D3—122no—
499C4×D3—122no—
500C4×D3—184no—
501C4×D3—184no—
502C4×D3—184no—
503C4×D3—184no—
504C2×C32—22no—
505C2×C32—21no—
506C2×C32—22no—
507C2×C32—22no—
508C2×C32—21no—
509C2×C32—21no—
510C2×C32—41no—
511C2×C32—41no—
512C2×C32—41no—
513C2×C32—41no—
514C2×C32—42no—
515C2×C32—42no—
516C2×C32—82no—
517C2×C32—82no—
518C2×C32C2×#23511yescharacteristic
519C2×C32C2×#23711yescharacteristic
520C2×C32C2×#23711yescharacteristic
521C2×C32D3×#4112yes—
522C2×C32D3×#4112yes—
523C2×C32D3×#4112yes—
524C3⋊D3—41no—
525C3⋊D3#87914yescomplemented
526C3×D3—38no—
527C3×D3—64no—
528C3×D3—122no—
529C3×D3—122no—
530C24—91no—
531C22×C4—91no—
532C22×C4—91no—
533C22×C4—271no—
534C22×C4—271no—
535C22×C4—271no—
536C22×C4—271no—
537C4⋊C4—92no—
538C4⋊C4—92no—
539C4⋊C4—92no—
540C4⋊C4—272no—
541C4⋊C4—272no—
542C4⋊C4—272no—
543C22⋊C4—91no—
544C22⋊C4—92no—
545C22⋊C4—92no—
546C22⋊C4—91no—
547C22⋊C4—91no—
548C22⋊C4—272no—
549C22⋊C4—272no—
550C22⋊C4#111311yescharacteristic
551C42—92no—
552C42—272no—
553C22×C3—22no—
554C22×C3—22no—
555C22×C3—21no—
556C22×C3—22no—
557C22×C3—22no—
558C22×C3—21no—
559C22×C3—21no—
560C22×C3—22no—
561C22×C3—21no—
562C22×C3—41no—
563C22×C3—41no—
564C22×C3—42no—
565C22×C3—42no—
566C22×C3—42no—
567C22×C3—42no—
568C22×C3—41no—
569C22×C3—81no—
570C22×C3—81no—
571C22×C3—92no—
572C22×C3—92no—
573C22×C3—92no—
574C22×C3—181no—
575C22×C3—181no—
576C22×C3—181no—
577C22×C3—364no—
578C22×C3C22×D3212yes—
579C22×C3C22×D3211yescharacteristic
580C2×D3—34no—
581C2×D3—34no—
582C2×D3—34no—
583C2×D3—62no—
584C2×D3—62no—
585C2×D3—62no—
586C2×D3—62no—
587C2×D3—62no—
588C2×D3—62no—
589C2×D3—62no—
590C2×D3—121no—
591C2×D3—121no—
592C2×D3—128no—
593C2×D3—128no—
594C3×C4—22no—
595C3×C4—22no—
596C3×C4—21no—
597C3×C4—21no—
598C3×C4—41no—
599C3×C4—41no—
600C3×C4—42no—
601C3×C4—42no—
602C3×C4—81no—
603C3×C4—81no—
604C3×C4—182no—
605C3×C4—182no—
606C3×C4—182no—
607C3×C4—182no—
608C3×C4—181no—
609C3×C4—181no—
610Dic3—62no—
611Dic3—62no—
612Dic3—62no—
613Dic3—62no—
614Dic3—62no—
615Dic3—62no—
616Dic3—62no—
617Dic3—62no—
618Dic3—62no—
619Dic3—62no—
620Dic3—121no—
621Dic3—121no—
622Dic3—122no—
623Dic3—122no—
624Dic3—122no—
625Dic3—122no—
626C32—22no—
627C32—21no—
628C32—41no—
629C32C2×#87911yescharacteristic, complemented
630C32D3×#12612yescomplemented
631C23—91no—
632C23—91no—
633C23—182no—
634C23—182no—
635C23—182no—
636C23C2×#111311yescharacteristic
637C2×C4—92no—
638C2×C4—92no—
639C2×C4—91no—
640C2×C4—91no—
641C2×C4—92no—
642C2×C4—92no—
643C2×C4—182no—
644C2×C4—182no—
645C2×C4—542no—
646C2×C4—542no—
647C2×C4—542no—
648C2×C4—542no—
649C2×C4C2×#111311yescharacteristic
650C2×C4C2×#111311yescharacteristic
651C2×C3—22no—
652C2×C3—21no—
653C2×C3—21no—
654C2×C3—21no—
655C2×C3—22no—
656C2×C3—22no—
657C2×C3—42no—
658C2×C3—42no—
659C2×C3—41no—
660C2×C3—41no—
661C2×C3—41no—
662C2×C3—41no—
663C2×C3—82no—
664C2×C3—82no—
665C2×C3—94no—
666C2×C3—361no—
667C2×C3D3×#23512yes—
668C2×C3#6430611yescharacteristic
669C2×C3D3×#23712yes—
670C2×C3D3×#23712yes—
671C2×C3#6431211yescharacteristic
672C2×C3#6431211yescharacteristic
673D3—38no—
674D3—64no—
675D3—122no—
676D3—122no—
677C22—21no—
678C22—21no—
679C22—21no—
680C22—92no—
681C22—92no—
682C22—92no—
683C22—181no—
684C22—181no—
685C22—181no—
686C22—364no—
687C22C22×#111311yescharacteristic
688C4—21no—
689C4—21no—
690C4—182no—
691C4—182no—
692C4—181no—
693C4—181no—
694C4—182no—
695C4—182no—
696C3—21no—
697C3—22no—
698C3—41no—
699C3D3×#87912yescomplemented
700C3#1059415411yescharacteristic, complemented
701C2—41no—
702C2—94no—
703C2—361no—
704C2#1172461811yescharacteristic
705C2#1172462211yescharacteristic
706C2#1172462211yescharacteristic
subgroupG/H
center, FrattiniC22C22×#1113
commutator, socle, cosocleC22×C33C24
FittingC33×C22⋊C4C22
prime radicalC23×C3×C3⋊D3C22
hypercenterC22⋊C4#1113
hypocenterC33C2×#126
LCSG ▷ C22×C33 ▷ C33
UCSC1 ◁ C22 ◁ C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C3×#64088C2semidirect
5. #11723716C2semidirect
6. #11723689C2semidirect
7. #11723682C2semidirect
8. #11723682C2semidirect
9. C4×#6294C2semidirect
10. #11723676C2semidirect
11. #11723675C2semidirect
27. C3×C4⋊(C3⋊Dic3)C22semidirect
28. C3×#3750C22semidirect
29. C3×#3750C22semidirect
30. C3×C4×C3⋊Dic3C22semidirect
31. #88815C22semidirect
32. #88815C22semidirect
33. #88815C22semidirect
36. #88813C22semidirect
38. #64088D3semidirect
114. C4⋊(C3⋊Dic3)C2×D3semidirect
115. #3750C2×D3semidirect
116. #3750C2×D3semidirect
117. C4×C3⋊Dic3C2×D3semidirect
279. C3×C3⋊D3#126semidirect
437. C33C2×#126semidirect
525. C3⋊D3#879semidirect
629. C32C2×#879semidirect
630. C32D3×#126semidirect
699. C3D3×#879semidirect
700. C3#10594154semidirect

Maximal subgroups

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

subgroupindex
C3×C22⋊C4×C3⋊D32
C3×#640882
#117237232
#117237162
#117236892
#117236822
C4×#62942
#117236762
#117236752
#105941543
D3×#8793