Finite Group Databasebeta

← #13177673

Subgroups — #13177673

Order 1728.

1716 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11723976C211yesmaximal, characteristic, complemented
2C3×#64148C211yesmaximal, characteristic
3C32×D4×Dic3C211yesmaximal, characteristic, complemented
4#11723641C211yesmaximal, characteristic, complemented
5Dic3×#638C211yesmaximal, characteristic, complemented
6Dic3×#638C211yesmaximal, characteristic, complemented
7#11723609C211yesmaximal, characteristic, complemented
8#11723596C211yesmaximal, characteristic, complemented
9#11723594C211yesmaximal, characteristic, complemented
10C2×Dic3×C3⋊Dic3C211yesmaximal, characteristic, complemented
11#11723591C211yesmaximal, characteristic, complemented
12#11723464C211yesmaximal, characteristic, complemented
13#11723412C211yesmaximal, characteristic, complemented
14#11723407C211yesmaximal, characteristic, complemented
15#11723389C211yesmaximal, characteristic, complemented
16#10596009—31nomaximal
17#10595187—34nomaximal
18C2×C33×D4C2211yescharacteristic
19C22×C3⋊(C3⋊Dic3)C2211yescharacteristic
20C2×C3×#638C2211yescharacteristic
21C2×C3×#638C2211yescharacteristic
22C22×C3×C3⋊Dic3C2211yescharacteristic
23C22×C32×Dic3C2211yescharacteristic
24C22×C32×Dic3C2211yescharacteristic
25C2×#6293C2211yescharacteristic
26C2×Dic3×C3⋊D3C2211yescharacteristic
27#88864C2211yescharacteristic
28#88864C2211yescharacteristic
29#88864C2211yescharacteristic
30#88857C2211yescharacteristic
31#88857C2211yescharacteristic
32C3×#3757C2211yescharacteristic
33C3×#3752C2211yescharacteristic
34C3×#3750C2211yescharacteristic
35C32×#217C2211yescharacteristic
36C32×#217C2211yescharacteristic
37C32×C4⋊Dic3C2211yescharacteristic
38C32×C4×Dic3C2211yescharacteristic
39#88807C2211yescharacteristic
40#88807C2211yescharacteristic
41#88806C2211yescharacteristic
42Dic3⋊(C3⋊Dic3)C2211yescharacteristic
43Dic3⋊(C3⋊Dic3)C2211yescharacteristic
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×C4×D4—31no—
54#64148D311yescharacteristic
55#64144—31no—
56#64144—34no—
57#64144—64no—
58C4×#638—31no—
59C4×#638—31no—
60#64135—31no—
61C2×C4×C3⋊Dic3—31no—
62#64107—31no—
63#64098—31no—
64#64095—31no—
65#64094—31no—
66#64088—31no—
67#64087—31no—
68#64081—31no—
69C4×#634—31no—
70C3×#939—34no—
71C3×D4×Dic3D314yescomplemented
72Dic3×#67—34no—
73Dic3×#67—34no—
74#63964—34no—
75#63962—34no—
76#63959—34no—
77#63956—34no—
78#63955—34no—
79C2×Dic32—34no—
80#63877—34no—
81#63858—34no—
82#63846—34no—
83#63837—34no—
84C23×C33C2311yescharacteristic
85C23×C33C2311yescharacteristic
86C22×C3×C3⋊D3C2311yescharacteristic
87C33×D4—22no—
88C2×C33×C4C2311yescharacteristic
89C2×C3⋊(C3⋊Dic3)—22no—
90C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
91C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
92C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
93C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
94C3×#638—22no—
95C3×#638—22no—
96C2×C3×C3⋊Dic3—22no—
97C2×C3×C3⋊Dic3C2311yescharacteristic
98C2×C3×C3⋊Dic3C2311yescharacteristic
99C2×C3×C3⋊Dic3C2311yescharacteristic
100C2×C32×Dic3—22no—
101C2×C32×Dic3—22no—
102C2×C32×Dic3C2311yescharacteristic
103C2×C32×Dic3C2311yescharacteristic
104C2×C32×Dic3C2311yescharacteristic
105C2×C32×Dic3C2311yescharacteristic
106#6293—22no—
107Dic3×C3⋊D3—22no—
108#5600—91no—
109#5538—94no—
110C2×C32×D4—24no—
111C2×C32×D4C2×D314yes—
112C2×C32×D4C2×D311yescharacteristic
113C22×C32×C4—31no—
114C22×C32×C4—31no—
115C2×#638C2×D311yescharacteristic
116C2×#638C2×D311yescharacteristic
117C22×C3⋊Dic3—31no—
118C22×C3⋊Dic3—34no—
119C22×C3⋊Dic3—64no—
120C22×C3⋊Dic3C2×D311yescharacteristic
121C2×C4×C3⋊D3—31no—
122C2×#634—31no—
123C2×C3×#67—34no—
124C2×C3×#67—34no—
125C22×C3×Dic3—34no—
126C22×C3×Dic3C2×D314yes—
127C22×C3×Dic3C2×D314yes—
128C2×#627—34no—
129C2×D3×Dic3—34no—
130C32×C4⋊C4—31no—
131C32×C22⋊C4—31no—
132C32×C22⋊C4—31no—
133C32×C42—31no—
134#3757—31no—
135#3757—31no—
136#3757—31no—
137#3757—34no—
138#3757—34no—
139#3757—34no—
140#3757—64no—
141#3757—64no—
142#3757—64no—
143#3757C2×D311yescharacteristic
144#3752—31no—
145#3752—31no—
146#3752—31no—
147#3752C2×D311yescharacteristic
148C4⋊(C3⋊Dic3)—31no—
149C4⋊(C3⋊Dic3)—31no—
150C4⋊(C3⋊Dic3)—31no—
151#3750—31no—
152#3750—31no—
153#3750—34no—
154#3750—34no—
155#3750—31no—
156#3750—31no—
157#3750—31no—
158#3750—64no—
159#3750—64no—
160#3750C2×D311yescharacteristic
161C4×C3⋊Dic3—31no—
162C4×C3⋊Dic3—31no—
163C4×C3⋊Dic3—31no—
164C4×C3⋊Dic3—31no—
165C4×C3⋊Dic3—31no—
166C3×#217—34no—
167C3×#217C2×D314yes—
168C3×#217C2×D314yes—
169C3×(C2×D3)⋊C4—34no—
170C3×C4⋊Dic3C2×D314yes—
171C3×Dic3⋊C4—34no—
172C3×C4×Dic3C2×D314yes—
173#3724—34no—
174Dic3⋊Dic3—34no—
175Dic3⋊Dic3—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)—21no—
202C3×C3⋊Dic3—21no—
203C3×C3⋊Dic3—21no—
204C3×C3⋊Dic3#4112yes—
205C32×Dic3—21no—
206C32×Dic3—21no—
207C32×Dic3—21no—
208C32×Dic3#4112yes—
209C3×#121—91no—
210C3×C4×D4—34no—
211#939—34no—
212#936—91no—
213#935—94no—
214#935—91no—
215#935—91no—
216#935—184no—
217D4×Dic3—91no—
218D4×Dic3—91no—
219D4×Dic3C3⋊D311yescharacteristic, complemented
220C4×#67—94no—
221C4×#67—94no—
222#926—94no—
223#924—91no—
224C2×C4×Dic3—94no—
225C2×C4×Dic3—91no—
226#898—94no—
227#890—91no—
228#889—94no—
229#887—91no—
230#886—94no—
231#885—94no—
232#879—94no—
233#879—91no—
234#879—91no—
235#878—94no—
236#877—91no—
237#877—91no—
238#872—94no—
239C4×Dic6—94no—
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—22no—
249C32×D4—28no—
250C32×D4—48no—
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×C4—62no—
258C2×C32×C4C22×D314yes—
259C2×C32×C4C22×D311yescharacteristic
260#638—22no—
261#638—22no—
262C2×C3⋊Dic3—22no—
263C2×C3⋊Dic3—31no—
264C2×C3⋊Dic3—31no—
265C2×C3⋊Dic3—31no—
266C2×C3⋊Dic3—31no—
267C2×C3⋊Dic3—34no—
268C2×C3⋊Dic3—34no—
269C2×C3⋊Dic3—34no—
270C2×C3⋊Dic3—34no—
271C2×C3⋊Dic3—64no—
272C2×C3⋊Dic3—64no—
273C2×C3⋊Dic3—64no—
274C2×C3⋊Dic3—64no—
275C2×C3⋊Dic3—62no—
276C2×C3⋊Dic3—68no—
277C2×C3⋊Dic3—128no—
278C2×C3⋊Dic3C22×D311yescharacteristic
279C2×C3⋊Dic3C22×D311yescharacteristic
280C2×C3⋊Dic3C22×D311yescharacteristic
281C4×C3⋊D3—62no—
282#634—62no—
283C3×#67—68no—
284C3×#67—68no—
285C2×C3×Dic3—28no—
286C2×C3×Dic3—28no—
287C2×C3×Dic3—34no—
288C2×C3×Dic3—34no—
289C2×C3×Dic3—34no—
290C2×C3×Dic3—68no—
291C2×C3×Dic3C22×D314yes—
292C2×C3×Dic3C22×D314yes—
293C2×C3×Dic3C22×D314yes—
294C2×C3×Dic3C22×D314yes—
295#627—68no—
296D3×Dic3—68no—
297#529—271noSylow
298C2×C33—22no—
299C2×C33—41no—
300C2×C33C2×#4111yescharacteristic
301C2×C33C2×#4111yescharacteristic
302C2×C33C2×#4111yescharacteristic
303C3×C3⋊D3—41no—
304C2×C3×D4—24no—
305C2×C3×D4—91no—
306C2×C3×D4—91no—
307C2×C3×D4D3214yes—
308C2×C3×D4C2×C3⋊D311yescharacteristic
309C22×C3×C4—34no—
310C22×C3×C4—34no—
311C22×C3×C4—91no—
312C2×#67—34no—
313C2×#67—34no—
314C22×Dic3—34no—
315C22×Dic3—94no—
316C22×Dic3—91no—
317C22×Dic3—91no—
318C22×Dic3—184no—
319C22×Dic3C2×C3⋊D311yescharacteristic
320C22×Dic3C2×C3⋊D311yescharacteristic
321C2×C4×D3—94no—
322C2×Dic6—94no—
323C2×Dic6—91no—
324C3×C4⋊C4—34no—
325C3×C4⋊C4—91no—
326C3×C22⋊C4—34no—
327C3×C22⋊C4—34no—
328C3×C22⋊C4—91no—
329C3×C22⋊C4—91no—
330C3×C42—34no—
331#217—34no—
332#217—94no—
333#217—94no—
334#217—94no—
335#217—91no—
336#217—91no—
337#217—91no—
338#217—91no—
339#217—91no—
340#217—91no—
341#217—184no—
342#217—184no—
343#217—184no—
344#217C2×C3⋊D311yescharacteristic
345#217C2×C3⋊D311yescharacteristic
346(C2×D3)⋊C4—34no—
347(C2×D3)⋊C4—94no—
348(C2×D3)⋊C4—94no—
349(C2×D3)⋊C4—94no—
350C4⋊Dic3—94no—
351C4⋊Dic3—94no—
352C4⋊Dic3—94no—
353C4⋊Dic3—91no—
354C4⋊Dic3—91no—
355C4⋊Dic3C2×C3⋊D311yescharacteristic
356Dic3⋊C4—34no—
357Dic3⋊C4—94no—
358Dic3⋊C4—94no—
359Dic3⋊C4—94no—
360Dic3⋊C4—94no—
361Dic3⋊C4—94no—
362Dic3⋊C4—91no—
363Dic3⋊C4—91no—
364Dic3⋊C4—91no—
365Dic3⋊C4—91no—
366Dic3⋊C4—91no—
367Dic3⋊C4—91no—
368Dic3⋊C4—184no—
369Dic3⋊C4—184no—
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×Dic3C2×C3⋊D311yescharacteristic
381C22×C32—21no—
382C22×C32—21no—
383C22×C32—21no—
384C22×C32—21no—
385C22×C32—21no—
386C22×C32—24no—
387C22×C32—28no—
388C22×C32—24no—
389C22×C32—24no—
390C22×C32—24no—
391C22×C32—24no—
392C22×C32—24no—
393C22×C32—44no—
394C22×C32—44no—
395C22×C32—44no—
396C22×C32—44no—
397C22×C32—44no—
398C22×C32#23518yes—
399C22×C32#23712yes—
400C22×C32C23×D314yes—
401C22×C32C23×D311yescharacteristic
402C2×C3⋊D3—21no—
403C2×C3⋊D3—21no—
404C2×C3⋊D3—21no—
405C2×C3×D3—64no—
406C2×C3×D3—64no—
407C2×C3×D3—64no—
408C32×C4—21no—
409C32×C4—24no—
410C32×C4—32no—
411C32×C4—44no—
412C32×C4—61no—
413C32×C4—61no—
414C32×C4—61no—
415C3⋊Dic3—21no—
416C3⋊Dic3—21no—
417C3⋊Dic3—61no—
418C3⋊Dic3—61no—
419C3⋊Dic3—61no—
420C3⋊Dic3—61no—
421C3⋊Dic3—64no—
422C3⋊Dic3—64no—
423C3⋊Dic3—64no—
424C3⋊Dic3—64no—
425C3⋊Dic3—124no—
426C3⋊Dic3—124no—
427C3⋊Dic3—124no—
428C3⋊Dic3—124no—
429C3⋊Dic3#23712yes—
430C3×Dic3—24no—
431C3×Dic3—24no—
432C3×Dic3—24no—
433C3×Dic3—38no—
434C3×Dic3—64no—
435C3×Dic3—64no—
436C3×Dic3#23718yes—
437#126—271no—
438#126—271no—
439#125—271no—
440#124—271no—
441#123—271no—
442#123—271no—
443C22⋊Q8—271no—
444#121—91no—
445C4×Q8—271no—
446C4×D4—31no—
447C4×D4—271no—
448C4×D4—271no—
449#117—271no—
450#117—271no—
451C2×C42—271no—
452C33#52911yescharacteristic, complemented, Sylow
453C23×C3—24no—
454C23×C3—24no—
455C23×C3—91no—
456C23×C3C2×D3214yes—
457C23×C3C2×D3214yes—
458C23×C3C22×C3⋊D311yescharacteristic
459C23×C3C22×C3⋊D311yescharacteristic
460C22×D3—34no—
461C3×D4—28no—
462C3×D4—22no—
463C3×D4—48no—
464C3×D4—182no—
465C3×D4—182no—
466C2×C3×C4—24no—
467C2×C3×C4—34no—
468C2×C3×C4—34no—
469C2×C3×C4—34no—
470C2×C3×C4—34no—
471C2×C3×C4—68no—
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—22no—
483C2×Dic3—34no—
484C2×Dic3—34no—
485C2×Dic3—34no—
486C2×Dic3—68no—
487C2×Dic3—94no—
488C2×Dic3—94no—
489C2×Dic3—94no—
490C2×Dic3—94no—
491C2×Dic3—91no—
492C2×Dic3—91no—
493C2×Dic3—91no—
494C2×Dic3—91no—
495C2×Dic3—184no—
496C2×Dic3—184no—
497C2×Dic3—184no—
498C2×Dic3—184no—
499C2×Dic3—188no—
500C2×Dic3—182no—
501C2×Dic3—182no—
502C2×Dic3—368no—
503C2×Dic3C22×C3⋊D311yescharacteristic
504C2×Dic3C22×C3⋊D311yescharacteristic
505C2×Dic3C22×C3⋊D311yescharacteristic
506C2×Dic3C22×C3⋊D311yescharacteristic
507C4×D3—188no—
508Dic6—182no—
509Dic6—188no—
510C2×C32—22no—
511C2×C32—24no—
512C2×C32—24no—
513C2×C32—24no—
514C2×C32—28no—
515C2×C32—48no—
516C2×C32—41no—
517C2×C32—44no—
518C2×C32—84no—
519C2×C32C2×#23514yes—
520C2×C32C2×#23714yes—
521C2×C32C2×#23711yescharacteristic
522C2×C32C2×#23711yescharacteristic
523C2×C32D3×#4114yes—
524C2×C32D3×#4111yescharacteristic
525C3⋊D3—41no—
526C3×D3—124no—
527C2×Q8—271no—
528C2×D4—91no—
529C2×D4—91no—
530C2×D4D3×C3⋊D311yescharacteristic
531C22×C4—31no—
532C22×C4—31no—
533C22×C4—91no—
534C22×C4—271no—
535C22×C4—271no—
536C4⋊C4—31no—
537C4⋊C4—91no—
538C4⋊C4—271no—
539C4⋊C4—271no—
540C4⋊C4—271no—
541C4⋊C4—271no—
542C4⋊C4—271no—
543C4⋊C4—271no—
544C4⋊C4—271no—
545C4⋊C4—271no—
546C22⋊C4—31no—
547C22⋊C4—31no—
548C22⋊C4—91no—
549C22⋊C4—91no—
550C22⋊C4—271no—
551C22⋊C4—271no—
552C22⋊C4—271no—
553C22⋊C4—271no—
554C22⋊C4—271no—
555C22⋊C4—271no—
556C42—31no—
557C42—271no—
558C42—271no—
559C42—271no—
560C42—271no—
561C42—271no—
562C22×C3—24no—
563C22×C3—24no—
564C22×C3—21no—
565C22×C3—21no—
566C22×C3—24no—
567C22×C3—24no—
568C22×C3—24no—
569C22×C3—21no—
570C22×C3—21no—
571C22×C3—21no—
572C22×C3—24no—
573C22×C3—28no—
574C22×C3—44no—
575C22×C3—44no—
576C22×C3—44no—
577C22×C3—44no—
578C22×C3—44no—
579C22×C3—181no—
580C22×C3—181no—
581C22×C3—181no—
582C22×C3#380418yes—
583C22×C3#382812yes—
584C22×C3C22×D3214yes—
585C22×C3C23×C3⋊D311yescharacteristic
586C2×D3—64no—
587C2×D3—64no—
588C2×D3—64no—
589C3×C4—24no—
590C3×C4—21no—
591C3×C4—38no—
592C3×C4—44no—
593C3×C4—64no—
594C3×C4—64no—
595C3×C4—64no—
596C3×C4—92no—
597C3×C4—181no—
598C3×C4—181no—
599Dic3—21no—
600Dic3—21no—
601Dic3—21no—
602Dic3—38no—
603Dic3—64no—
604Dic3—64no—
605Dic3—184no—
606Dic3—184no—
607Dic3—184no—
608Dic3—184no—
609Dic3—181no—
610Dic3—181no—
611Dic3—181no—
612Dic3—181no—
613Dic3—364no—
614Dic3—364no—
615Dic3—364no—
616Dic3—364no—
617Dic3#383012yes—
618C32—24no—
619C32#553814yescomplemented
620C32#560011yescharacteristic, complemented
621C23—91no—
622C23C2×D3×C3⋊D311yescharacteristic
623C23C2×D3×C3⋊D311yescharacteristic
624Q8—542no—
625D4—22no—
626D4—182no—
627D4—182no—
628C2×C4—31no—
629C2×C4—31no—
630C2×C4—31no—
631C2×C4—31no—
632C2×C4—62no—
633C2×C4—62no—
634C2×C4—91no—
635C2×C4—91no—
636C2×C4—91no—
637C2×C4—182no—
638C2×C4—271no—
639C2×C4—271no—
640C2×C4—271no—
641C2×C4—271no—
642C2×C4—542no—
643C2×C4—542no—
644C2×C4C2×D3×C3⋊D311yescharacteristic
645C2×C3—28no—
646C2×C3—22no—
647C2×C3—24no—
648C2×C3—24no—
649C2×C3—24no—
650C2×C3—48no—
651C2×C3—44no—
652C2×C3—41no—
653C2×C3—84no—
654C2×C3—361no—
655C2×C3D3×#23714yes—
656C2×C3D3×#23714yes—
657C2×C3C2×#380414yes—
658C2×C3C2×#382811yescharacteristic
659C2×C3C2×#383011yescharacteristic
660C2×C3#41×C3⋊D311yescharacteristic
661D3—124no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—21no—
666C22—21no—
667C22—181no—
668C22—181no—
669C22—181no—
670C22#8903112yes—
671C22C22×D3×C3⋊D311yescharacteristic
672C4—21no—
673C4—32no—
674C4—61no—
675C4—61no—
676C4—61no—
677C4—92no—
678C4—181no—
679C4—181no—
680C4—541no—
681C4—541no—
682C4—541no—
683C4—541no—
684C3—24no—
685C3#1059518714yescomplemented
686C3#1059600911yescharacteristic, complemented
687C2—22no—
688C2—41no—
689C2—361no—
690C2D3×#383011yescharacteristic
691C2C3⋊D3×#23711yescharacteristic
692C2C2×#8903111yescharacteristic
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. #11723976C2semidirect
3. C32×D4×Dic3C2semidirect
4. #11723641C2semidirect
5. Dic3×#638C2semidirect
6. Dic3×#638C2semidirect
7. #11723609C2semidirect
8. #11723596C2semidirect
9. #11723594C2semidirect
10. C2×Dic3×C3⋊Dic3C2semidirect
11. #11723591C2semidirect
12. #11723464C2semidirect
13. #11723412C2semidirect
14. #11723407C2semidirect
15. #11723389C2semidirect
71. C3×D4×Dic3D3semidirect
219. D4×Dic3C3⋊D3semidirect
452. C33#529semidirect
619. C32#5538semidirect
620. C32#5600semidirect
685. C3#10595187semidirect
686. C3#10596009semidirect

Maximal subgroups

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

subgroupindex
#117239762
C3×#641482
C32×D4×Dic32
#117236412
Dic3×#6382
#117236092
#117235962
#117235942
C2×Dic3×C3⋊Dic32
#117235912
#117234642
#117234122
#117234072
#117233892
#105960093
#105951873