Finite Group Databasebeta

← #13177675

Subgroups — #13177675

Order 1728.

1780 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D4×C3⋊(C3⋊Dic3)C211yesmaximal, characteristic, complemented
2C3×#64148C211yesmaximal, characteristic
3C32×#935C211yesmaximal, characteristic, complemented
4#11723641C211yesmaximal, characteristic, complemented
5#11723626C211yesmaximal, characteristic, complemented
6#11723626C211yesmaximal, characteristic, complemented
7#11723605C211yesmaximal, characteristic, complemented
8#11723598C211yesmaximal, characteristic, complemented
9#11723597C211yesmaximal, characteristic, complemented
10C2×Dic3×C3⋊Dic3C211yesmaximal, characteristic, complemented
11#11723591C211yesmaximal, characteristic, complemented
12#11723466C211yesmaximal, characteristic, complemented
13#11723409C211yesmaximal, characteristic, complemented
14#11723408C211yesmaximal, characteristic, complemented
15#11723391C211yesmaximal, characteristic, complemented
16#10596120—31nomaximal
17#10595202—34nomaximal
18C2×C33×D4C2211yescharacteristic
19C22×C3⋊(C3⋊Dic3)C2211yescharacteristic
20C22×C3⋊(C3⋊Dic3)C2211yescharacteristic
21C2×C3×#638C2211yescharacteristic
22C2×C3×#638C2211yescharacteristic
23C22×C3×C3⋊Dic3C2211yescharacteristic
24C22×C32×Dic3C2211yescharacteristic
25C2×#6293C2211yescharacteristic
26C2×Dic3×C3⋊D3C2211yescharacteristic
27#88864C2211yescharacteristic
28#88864C2211yescharacteristic
29C4⋊(C3⋊(C3⋊Dic3))C2211yescharacteristic
30C4×C3⋊(C3⋊Dic3)C2211yescharacteristic
31C3×#3757C2211yescharacteristic
32C3×#3752C2211yescharacteristic
33C3×#3750C2211yescharacteristic
34C32×#217C2211yescharacteristic
35C32×#217C2211yescharacteristic
36C32×#217C2211yescharacteristic
37C32×Dic3⋊C4C2211yescharacteristic
38C32×Dic3⋊C4C2211yescharacteristic
39#88807C2211yescharacteristic
40#88807C2211yescharacteristic
41#88806C2211yescharacteristic
42#88806C2211yescharacteristic
43#88806C2211yescharacteristic
44Dic3⋊(C3⋊Dic3)C2211yescharacteristic
45#88803C2211yescharacteristic
46#88803C2211yescharacteristic
47#88803C2211yescharacteristic
48Dic3×C3⋊Dic3C2211yescharacteristic
49Dic3×C3⋊Dic3C2211yescharacteristic
50Dic3×C3⋊Dic3C2211yescharacteristic
51Dic3×C3⋊Dic3C2211yescharacteristic
52Dic3×C3⋊Dic3C2211yescharacteristic
53C32×#123—31no—
54#64148D311yescharacteristic
55D4×C3⋊Dic3—31no—
56D4×C3⋊Dic3—34no—
57D4×C3⋊Dic3—64no—
58#64138—31no—
59C2×C4×C3⋊Dic3—31no—
60#64107—31no—
61#64101—31no—
62#64098—31no—
63#64096—31no—
64#64094—31no—
65#64090—31no—
66#64090—31no—
67#64088—31no—
68#64087—31no—
69#64086—31no—
70C3×#939—34no—
71C3×#935D314yescomplemented
72#67⋊Dic3—34no—
73#67⋊Dic3—34no—
74#63964—34no—
75#63961—34no—
76#63959—34no—
77#63957—34no—
78#63956—34no—
79C2×Dic32—34no—
80#63878—34no—
81#63861—34no—
82#63845—34no—
83#63838—34no—
84C23×C33C2311yescharacteristic
85C23×C33C2311yescharacteristic
86C22×C3×C3⋊D3C2311yescharacteristic
87C33×D4—22no—
88C2×C33×C4C2311yescharacteristic
89C2×C3⋊(C3⋊Dic3)—22no—
90C2×C3⋊(C3⋊Dic3)—22no—
91C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
92C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
93C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
94C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
95C3×#638—22no—
96C3×#638—22no—
97C2×C3×C3⋊Dic3—22no—
98C2×C3×C3⋊Dic3C2311yescharacteristic
99C2×C3×C3⋊Dic3C2311yescharacteristic
100C2×C3×C3⋊Dic3C2311yescharacteristic
101C2×C32×Dic3—22no—
102C2×C32×Dic3C2311yescharacteristic
103C2×C32×Dic3C2311yescharacteristic
104C2×C32×Dic3C2311yescharacteristic
105C2×C32×Dic3C2311yescharacteristic
106#6293—22no—
107Dic3×C3⋊D3—22no—
108#5649—94no—
109#5600—91no—
110C2×C32×D4—24no—
111C2×C32×D4C2×D314yes—
112C2×C32×D4C2×D311yescharacteristic
113C22×C32×C4—31no—
114C2×#638C2×D311yescharacteristic
115C2×#638C2×D311yescharacteristic
116C22×C3⋊Dic3—31no—
117C22×C3⋊Dic3—31no—
118C22×C3⋊Dic3—34no—
119C22×C3⋊Dic3—34no—
120C22×C3⋊Dic3—64no—
121C22×C3⋊Dic3—64no—
122C22×C3⋊Dic3C2×D311yescharacteristic
123C2×C4×C3⋊D3—31no—
124C2×#634—31no—
125C2×C3×#67—34no—
126C2×C3×#67—34no—
127C22×C3×Dic3—34no—
128C22×C3×Dic3C2×D314yes—
129C2×#627—34no—
130C2×D3×Dic3—34no—
131C32×C4⋊C4—31no—
132C32×C4⋊C4—31no—
133C32×C22⋊C4—31no—
134C32×C22⋊C4—31no—
135C32×C22⋊C4—31no—
136#3757—31no—
137#3757—31no—
138#3757—34no—
139#3757—34no—
140#3757—64no—
141#3757—64no—
142#3757C2×D311yescharacteristic
143#3752—31no—
144#3752—31no—
145#3752—31no—
146#3752C2×D311yescharacteristic
147C4⋊(C3⋊Dic3)—31no—
148C4⋊(C3⋊Dic3)—34no—
149C4⋊(C3⋊Dic3)—31no—
150C4⋊(C3⋊Dic3)—64no—
151#3750—31no—
152#3750—31no—
153#3750—31no—
154#3750—31no—
155#3750—31no—
156#3750C2×D311yescharacteristic
157C4×C3⋊Dic3—31no—
158C4×C3⋊Dic3—34no—
159C4×C3⋊Dic3—31no—
160C4×C3⋊Dic3—31no—
161C4×C3⋊Dic3—31no—
162C4×C3⋊Dic3—31no—
163C4×C3⋊Dic3—31no—
164C4×C3⋊Dic3—64no—
165C3×#217—34no—
166C3×#217C2×D314yes—
167C3×#217C2×D314yes—
168C3×#217C2×D314yes—
169C3×(C2×D3)⋊C4—34no—
170C3×Dic3⋊C4—34no—
171C3×Dic3⋊C4C2×D314yes—
172C3×Dic3⋊C4C2×D314yes—
173#3724—34no—
174#3724—34no—
175#3724—34no—
176Dic3⋊Dic3—34no—
177Dic3⋊Dic3—34no—
178Dic3⋊Dic3—34no—
179(C2×D3)⋊Dic3—34no—
180(C2×D3)⋊Dic3—34no—
181(C2×D3)⋊Dic3—34no—
182Dic32—34no—
183Dic32—34no—
184Dic32—34no—
185Dic32—34no—
186Dic32—34no—
187C22×C33—21no—
188C22×C33—21no—
189C22×C33—21no—
190C22×C33—21no—
191C22×C33—21no—
192C22×C33#4112yes—
193C22×C33C2411yescharacteristic
194C2×C3×C3⋊D3—21no—
195C2×C3×C3⋊D3—21no—
196C2×C3×C3⋊D3—21no—
197C33×C4—21no—
198C3⋊(C3⋊Dic3)—21no—
199C3⋊(C3⋊Dic3)—21no—
200C3⋊(C3⋊Dic3)—21no—
201C3⋊(C3⋊Dic3)#4112yes—
202C3×C3⋊Dic3—21no—
203C3×C3⋊Dic3—21no—
204C3×C3⋊Dic3#4112yes—
205C32×Dic3—21no—
206C32×Dic3—21no—
207C32×Dic3—21no—
208C32×Dic3—21no—
209C3×#123—34no—
210C3×#121—91no—
211#939—34no—
212#936—91no—
213#935—91no—
214#935C3⋊D311yescharacteristic, complemented
215D4×Dic3—94no—
216D4×Dic3—91no—
217D4×Dic3—91no—
218D4×Dic3—91no—
219D4×Dic3—184no—
220#929—94no—
221#924—91no—
222C2×C4×Dic3—94no—
223C2×C4×Dic3—91no—
224#898—94no—
225#892—94no—
226#890—91no—
227#889—94no—
228#887—94no—
229#887—91no—
230#885—94no—
231#67⋊C4—94no—
232#67⋊C4—94no—
233#879—94no—
234#879—91no—
235#879—91no—
236#878—94no—
237#877—94no—
238#877—91no—
239#877—91no—
240C23×C32—24no—
241C23×C32—24no—
242C23×C32C22×D314yes—
243C23×C32C22×D314yes—
244C23×C32C22×D311yescharacteristic
245C23×C32C22×D311yescharacteristic
246C22×C3⋊D3C22×D311yescharacteristic
247C22×C3×D3—34no—
248C32×D4—216no—
249C32×D4—28no—
250C32×D4—22no—
251C2×C32×C4—24no—
252C2×C32×C4—31no—
253C2×C32×C4—31no—
254C2×C32×C4—31no—
255C2×C32×C4—31no—
256C2×C32×C4—62no—
257C2×C32×C4C22×D314yes—
258C2×C32×C4C22×D311yescharacteristic
259#638—22no—
260#638—22no—
261C2×C3⋊Dic3—22no—
262C2×C3⋊Dic3—31no—
263C2×C3⋊Dic3—31no—
264C2×C3⋊Dic3—31no—
265C2×C3⋊Dic3—31no—
266C2×C3⋊Dic3—34no—
267C2×C3⋊Dic3—34no—
268C2×C3⋊Dic3—34no—
269C2×C3⋊Dic3—34no—
270C2×C3⋊Dic3—64no—
271C2×C3⋊Dic3—64no—
272C2×C3⋊Dic3—64no—
273C2×C3⋊Dic3—64no—
274C2×C3⋊Dic3—62no—
275C2×C3⋊Dic3—62no—
276C2×C3⋊Dic3—68no—
277C2×C3⋊Dic3—68no—
278C2×C3⋊Dic3—128no—
279C2×C3⋊Dic3—128no—
280C2×C3⋊Dic3C22×D311yescharacteristic
281C2×C3⋊Dic3C22×D311yescharacteristic
282C2×C3⋊Dic3C22×D311yescharacteristic
283C4×C3⋊D3—62no—
284#634—62no—
285C3×#67—68no—
286C3×#67—68no—
287C2×C3×Dic3—28no—
288C2×C3×Dic3—34no—
289C2×C3×Dic3—34no—
290C2×C3×Dic3—34no—
291C2×C3×Dic3—68no—
292C2×C3×Dic3C22×D314yes—
293C2×C3×Dic3C22×D314yes—
294C2×C3×Dic3C22×D314yes—
295C2×C3×Dic3C22×D314yes—
296#627—68no—
297D3×Dic3—68no—
298#529—271noSylow
299C2×C33—22no—
300C2×C33—41no—
301C2×C33C2×#4111yescharacteristic
302C2×C33C2×#4111yescharacteristic
303C2×C33C2×#4111yescharacteristic
304C3×C3⋊D3—41no—
305C2×C3×D4—24no—
306C2×C3×D4—91no—
307C2×C3×D4—91no—
308C2×C3×D4D3214yes—
309C2×C3×D4C2×C3⋊D311yescharacteristic
310C22×C3×C4—34no—
311C22×C3×C4—91no—
312C2×#67—34no—
313C2×#67—34no—
314C22×Dic3—34no—
315C22×Dic3—94no—
316C22×Dic3—94no—
317C22×Dic3—91no—
318C22×Dic3—91no—
319C22×Dic3—91no—
320C22×Dic3—184no—
321C22×Dic3—184no—
322C22×Dic3C2×C3⋊D311yescharacteristic
323C2×C4×D3—94no—
324C2×Dic6—94no—
325C2×Dic6—91no—
326C3×C4⋊C4—34no—
327C3×C4⋊C4—34no—
328C3×C4⋊C4—91no—
329C3×C22⋊C4—34no—
330C3×C22⋊C4—34no—
331C3×C22⋊C4—34no—
332C3×C22⋊C4—91no—
333C3×C22⋊C4—91no—
334#217—34no—
335#217—94no—
336#217—94no—
337#217—91no—
338#217—91no—
339#217—91no—
340#217—91no—
341#217—91no—
342#217—184no—
343#217—184no—
344#217C2×C3⋊D311yescharacteristic
345#217C2×C3⋊D311yescharacteristic
346#217C2×C3⋊D311yescharacteristic
347(C2×D3)⋊C4—34no—
348(C2×D3)⋊C4—94no—
349(C2×D3)⋊C4—94no—
350(C2×D3)⋊C4—94no—
351C4⋊Dic3—94no—
352C4⋊Dic3—94no—
353C4⋊Dic3—91no—
354C4⋊Dic3—91no—
355C4⋊Dic3—91no—
356C4⋊Dic3—184no—
357Dic3⋊C4—34no—
358Dic3⋊C4—94no—
359Dic3⋊C4—94no—
360Dic3⋊C4—94no—
361Dic3⋊C4—94no—
362Dic3⋊C4—94no—
363Dic3⋊C4—91no—
364Dic3⋊C4—91no—
365Dic3⋊C4—91no—
366Dic3⋊C4—91no—
367Dic3⋊C4C2×C3⋊D311yescharacteristic
368Dic3⋊C4C2×C3⋊D311yescharacteristic
369C4×Dic3—94no—
370C4×Dic3—94no—
371C4×Dic3—94no—
372C4×Dic3—94no—
373C4×Dic3—94no—
374C4×Dic3—94no—
375C4×Dic3—91no—
376C4×Dic3—91no—
377C4×Dic3—91no—
378C4×Dic3—91no—
379C4×Dic3—91no—
380C4×Dic3—91no—
381C4×Dic3—184no—
382C22×C32—21no—
383C22×C32—21no—
384C22×C32—28no—
385C22×C32—21no—
386C22×C32—24no—
387C22×C32—21no—
388C22×C32—21no—
389C22×C32—24no—
390C22×C32—28no—
391C22×C32—24no—
392C22×C32—24no—
393C22×C32—24no—
394C22×C32—24no—
395C22×C32—44no—
396C22×C32—44no—
397C22×C32—44no—
398C22×C32—44no—
399C22×C32#23718yes—
400C22×C32#23712yes—
401C22×C32C23×D314yes—
402C22×C32C23×D311yescharacteristic
403C2×C3⋊D3—21no—
404C2×C3⋊D3—21no—
405C2×C3⋊D3—21no—
406C2×C3×D3—64no—
407C2×C3×D3—64no—
408C2×C3×D3—64no—
409C32×C4—28no—
410C32×C4—24no—
411C32×C4—21no—
412C32×C4—61no—
413C32×C4—61no—
414C32×C4—61no—
415C32×C4—61no—
416C3⋊Dic3—21no—
417C3⋊Dic3—21no—
418C3⋊Dic3—32no—
419C3⋊Dic3—38no—
420C3⋊Dic3—68no—
421C3⋊Dic3—61no—
422C3⋊Dic3—61no—
423C3⋊Dic3—61no—
424C3⋊Dic3—64no—
425C3⋊Dic3—64no—
426C3⋊Dic3—64no—
427C3⋊Dic3—124no—
428C3⋊Dic3—124no—
429C3⋊Dic3—124no—
430C3⋊Dic3#23712yes—
431C3×Dic3—24no—
432C3×Dic3—24no—
433C3×Dic3—24no—
434C3×Dic3—24no—
435C3×Dic3—38no—
436C3×Dic3—64no—
437C3×Dic3—64no—
438#126—271no—
439#126—271no—
440#125—271no—
441#124—271no—
442#123—31no—
443#123—271no—
444C22⋊Q8—271no—
445#121—91no—
446C4×Q8—271no—
447C4×D4—271no—
448C4×D4—271no—
449C4×D4—271no—
450#117—271no—
451#117—271no—
452C2×C42—271no—
453C33#52911yescharacteristic, complemented, Sylow
454C23×C3—24no—
455C23×C3—24no—
456C23×C3—91no—
457C23×C3C2×D3214yes—
458C23×C3C2×D3214yes—
459C23×C3C22×C3⋊D311yescharacteristic
460C23×C3C22×C3⋊D311yescharacteristic
461C22×D3—34no—
462C3×D4—216no—
463C3×D4—28no—
464C3×D4—22no—
465C3×D4—182no—
466C3×D4—182no—
467C2×C3×C4—24no—
468C2×C3×C4—34no—
469C2×C3×C4—34no—
470C2×C3×C4—34no—
471C2×C3×C4—34no—
472C2×C3×C4—68no—
473C2×C3×C4—91no—
474C2×C3×C4—91no—
475C2×C3×C4—91no—
476C2×C3×C4—182no—
477C2×C3×C4C2×D3214yes—
478C2×C3×C4C22×C3⋊D311yescharacteristic
479#67—68no—
480#67—68no—
481C2×Dic3—22no—
482C2×Dic3—34no—
483C2×Dic3—34no—
484C2×Dic3—34no—
485C2×Dic3—68no—
486C2×Dic3—94no—
487C2×Dic3—91no—
488C2×Dic3—94no—
489C2×Dic3—94no—
490C2×Dic3—94no—
491C2×Dic3—91no—
492C2×Dic3—91no—
493C2×Dic3—91no—
494C2×Dic3—184no—
495C2×Dic3—184no—
496C2×Dic3—184no—
497C2×Dic3—184no—
498C2×Dic3—182no—
499C2×Dic3—182no—
500C2×Dic3—182no—
501C2×Dic3—188no—
502C2×Dic3—188no—
503C2×Dic3—368no—
504C2×Dic3—368no—
505C2×Dic3C22×C3⋊D311yescharacteristic
506C2×Dic3C22×C3⋊D311yescharacteristic
507C2×Dic3C22×C3⋊D311yescharacteristic
508C2×Dic3C22×C3⋊D311yescharacteristic
509C4×D3—188no—
510Dic6—182no—
511Dic6—188no—
512C2×C32—22no—
513C2×C32—24no—
514C2×C32—24no—
515C2×C32—24no—
516C2×C32—28no—
517C2×C32—48no—
518C2×C32—48no—
519C2×C32—44no—
520C2×C32—41no—
521C2×C32C2×#23714yes—
522C2×C32C2×#23711yescharacteristic
523C2×C32C2×#23711yescharacteristic
524C2×C32D3×#4114yes—
525C2×C32D3×#4114yes—
526C2×C32D3×#4111yescharacteristic
527C3⋊D3—41no—
528C3×D3—124no—
529C2×Q8—271no—
530C2×D4—91no—
531C2×D4—91no—
532C2×D4D3×C3⋊D311yescharacteristic
533C22×C4—31no—
534C22×C4—91no—
535C22×C4—271no—
536C22×C4—271no—
537C22×C4—271no—
538C4⋊C4—31no—
539C4⋊C4—31no—
540C4⋊C4—91no—
541C4⋊C4—271no—
542C4⋊C4—271no—
543C4⋊C4—271no—
544C4⋊C4—271no—
545C4⋊C4—271no—
546C4⋊C4—271no—
547C4⋊C4—271no—
548C22⋊C4—31no—
549C22⋊C4—31no—
550C22⋊C4—31no—
551C22⋊C4—91no—
552C22⋊C4—91no—
553C22⋊C4—271no—
554C22⋊C4—271no—
555C22⋊C4—271no—
556C22⋊C4—271no—
557C22⋊C4—271no—
558C42—271no—
559C42—271no—
560C42—271no—
561C42—271no—
562C42—271no—
563C42—271no—
564C22×C3—24no—
565C22×C3—24no—
566C22×C3—21no—
567C22×C3—21no—
568C22×C3—28no—
569C22×C3—24no—
570C22×C3—24no—
571C22×C3—24no—
572C22×C3—21no—
573C22×C3—21no—
574C22×C3—21no—
575C22×C3—24no—
576C22×C3—28no—
577C22×C3—44no—
578C22×C3—44no—
579C22×C3—44no—
580C22×C3—44no—
581C22×C3—181no—
582C22×C3—181no—
583C22×C3—181no—
584C22×C3#380518yes—
585C22×C3#383012yes—
586C22×C3C22×D3214yes—
587C22×C3C23×C3⋊D311yescharacteristic
588C2×D3—64no—
589C2×D3—64no—
590C2×D3—64no—
591C3×C4—28no—
592C3×C4—24no—
593C3×C4—21no—
594C3×C4—64no—
595C3×C4—64no—
596C3×C4—64no—
597C3×C4—64no—
598C3×C4—92no—
599C3×C4—181no—
600C3×C4—181no—
601Dic3—21no—
602Dic3—21no—
603Dic3—21no—
604Dic3—21no—
605Dic3—38no—
606Dic3—64no—
607Dic3—64no—
608Dic3—98no—
609Dic3—92no—
610Dic3—188no—
611Dic3—184no—
612Dic3—184no—
613Dic3—184no—
614Dic3—181no—
615Dic3—181no—
616Dic3—181no—
617Dic3—364no—
618Dic3—364no—
619Dic3—364no—
620C32—24no—
621C32#560011yescharacteristic, complemented
622C32#564914yescomplemented
623C23—91no—
624C23C2×D3×C3⋊D311yescharacteristic
625C23C2×D3×C3⋊D311yescharacteristic
626Q8—542no—
627D4—22no—
628D4—182no—
629D4—182no—
630C2×C4—31no—
631C2×C4—31no—
632C2×C4—31no—
633C2×C4—31no—
634C2×C4—62no—
635C2×C4—91no—
636C2×C4—91no—
637C2×C4—91no—
638C2×C4—182no—
639C2×C4—271no—
640C2×C4—271no—
641C2×C4—271no—
642C2×C4—271no—
643C2×C4—542no—
644C2×C4—542no—
645C2×C4—542no—
646C2×C4C2×D3×C3⋊D311yescharacteristic
647C2×C3—22no—
648C2×C3—28no—
649C2×C3—24no—
650C2×C3—24no—
651C2×C3—24no—
652C2×C3—48no—
653C2×C3—48no—
654C2×C3—41no—
655C2×C3—44no—
656C2×C3—361no—
657C2×C3D3×#23714yes—
658C2×C3#6431214yes—
659C2×C3C2×#380514yes—
660C2×C3C2×#383011yescharacteristic
661C2×C3#41×C3⋊D311yescharacteristic
662C2×C3#41×C3⋊D311yescharacteristic
663D3—124no—
664C22—21no—
665C22—21no—
666C22—21no—
667C22—21no—
668C22—21no—
669C22—181no—
670C22—181no—
671C22—181no—
672C22#8902912yes—
673C22C22×D3×C3⋊D311yescharacteristic
674C4—21no—
675C4—61no—
676C4—61no—
677C4—61no—
678C4—61no—
679C4—92no—
680C4—181no—
681C4—181no—
682C4—272no—
683C4—541no—
684C4—541no—
685C4—541no—
686C3—24no—
687C3#1059520214yescomplemented
688C3#1059612011yescharacteristic, complemented
689C2—22no—
690C2—41no—
691C2—361no—
692C2C3⋊D3×#23711yescharacteristic
693C2#1172458611yescharacteristic
694C2C2×#8902911yescharacteristic
subgroupG/H
center, FrattiniC22C22×D3×C3⋊D3
commutator, socle, cosocleC22×C33C24
FittingC2×C33×D4C22
prime radicalC3×#64148C2
hypercenterC2×D4D3×C3⋊D3
hypocenterC33#529
LCSG ▷ C22×C33 ▷ C33
UCSC1 ◁ C22 ◁ C2×D4

Complements

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

NH ≅ G/Ntype
1. D4×C3⋊(C3⋊Dic3)C2semidirect
3. C32×#935C2semidirect
4. #11723641C2semidirect
5. #11723626C2semidirect
6. #11723626C2semidirect
7. #11723605C2semidirect
8. #11723598C2semidirect
9. #11723597C2semidirect
10. C2×Dic3×C3⋊Dic3C2semidirect
11. #11723591C2semidirect
12. #11723466C2semidirect
13. #11723409C2semidirect
14. #11723408C2semidirect
15. #11723391C2semidirect
71. C3×#935D3semidirect
214. #935C3⋊D3semidirect
453. C33#529semidirect
621. C32#5600semidirect
622. C32#5649semidirect
687. C3#10595202semidirect
688. C3#10596120semidirect

Maximal subgroups

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

subgroupindex
D4×C3⋊(C3⋊Dic3)2
C3×#641482
C32×#9352
#117236412
#117236262
#117236052
#117235982
#117235972
C2×Dic3×C3⋊Dic32
#117235912
#117234662
#117234092
#117234082
#117233912
#105961203
#105952023