Finite Group Databasebeta

← #13175330

Subgroups — #13175330

Order 1728.

1708 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11723913C211yesmaximal, characteristic, complemented
2C3×#64081C211yesmaximal, characteristic, complemented
3C32×C42×D3C211yesmaximal, characteristic, complemented
4C4×#6293C211yesmaximal, characteristic, complemented
5#11723514C211yesmaximal, characteristic
6#11723513C211yesmaximal, characteristic, complemented
7C4×#6292C211yesmaximal, characteristic, complemented
8C4×#6291C211yesmaximal, characteristic, complemented
9C4×#6290C211yesmaximal, characteristic, complemented
10#11723453C211yesmaximal, characteristic, complemented
11#11723444C211yesmaximal, characteristic, complemented
12#11723438C211yesmaximal, characteristic, complemented
13#11723416C211yesmaximal, characteristic, complemented
14#11723415C211yesmaximal, characteristic, complemented
15#11723414C211yesmaximal, characteristic, complemented
16#10595950—31nomaximal
17#10593973—34nomaximal
18C2×C4×C3⋊(C3⋊D3)C2211yescharacteristic
19C2×C3×C4×C3⋊D3C2211yescharacteristic
20C2×C32×C4×D3C2211yescharacteristic
21C2×C32×C4×D3C2211yescharacteristic
22C2×C32×C4×D3C2211yescharacteristic
23C2×#6293C2211yescharacteristic
24C2×#6292C2211yescharacteristic
25C2×#6291C2211yescharacteristic
26C2×#6290C2211yescharacteristic
27C33×C42C2211yescharacteristic
28#88859C2211yescharacteristic
29#88859C2211yescharacteristic
30#88857C2211yescharacteristic
31#88857C2211yescharacteristic
32C4×C3⋊(C3⋊Dic3)C2211yescharacteristic
33C3×#3752C2211yescharacteristic
34C3×#3752C2211yescharacteristic
35C3×#3750C2211yescharacteristic
36C3×#3750C2211yescharacteristic
37C3×C4×C3⋊Dic3C2211yescharacteristic
38C32×C4×Dic3C2211yescharacteristic
39C32×C4×Dic3C2211yescharacteristic
40C32×C4×Dic3C2211yescharacteristic
41#88807C2211yescharacteristic
42#88807C2211yescharacteristic
43#88806C2211yescharacteristic
44#88806C2211yescharacteristic
45Dic3⋊(C3⋊Dic3)C2211yescharacteristic
46Dic3⋊(C3⋊Dic3)C2211yescharacteristic
47#88804C2211yescharacteristic
48#88804C2211yescharacteristic
49#88803C2211yescharacteristic
50#88803C2211yescharacteristic
51(C2×D3)⋊(C3⋊Dic3)C2211yescharacteristic
52(C2×D3)⋊(C3⋊Dic3)C2211yescharacteristic
53C2×C32×C42—31no—
54#64139—31no—
55#64138—31no—
56#64138—31no—
57C4×#638—31no—
58C4×#638—31no—
59#64133—31no—
60#64085—31no—
61#64085—31no—
62#64084—31no—
63C4×C4⋊(C3⋊D3)—31no—
64#64081—31no—
65#64081—34no—
66#64081—64no—
67#64081D311yescharacteristic, complemented
68#64079—31no—
69C4×#634—31no—
70C3×#872—34no—
71C3×C42×D3D314yescomplemented
72C4×#627—34no—
73#63906—34no—
74#63905—34no—
75C4×#626—34no—
76C4×#626—34no—
77C4×#625—34no—
78#63868—34no—
79#63867—34no—
80#63859—34no—
81#63852—34no—
82#63851—34no—
83#63850—34no—
84C22×C3⋊(C3⋊D3)C2311yescharacteristic
85C22×C3×C3⋊D3C2311yescharacteristic
86C22×C32×D3C2311yescharacteristic
87C2×C33×C4C2311yescharacteristic
88C2×C33×C4C2311yescharacteristic
89C2×C33×C4C2311yescharacteristic
90C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
91C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
92C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
93C4×C3⋊(C3⋊D3)—22no—
94C2×C3×C3⋊Dic3C2311yescharacteristic
95C2×C3×C3⋊Dic3C2311yescharacteristic
96C2×C3×C3⋊Dic3C2311yescharacteristic
97C3×C4×C3⋊D3—22no—
98C2×C32×Dic3C2311yescharacteristic
99C2×C32×Dic3C2311yescharacteristic
100C2×C32×Dic3C2311yescharacteristic
101C32×C4×D3—22no—
102C32×C4×D3—22no—
103C32×C4×D3—22no—
104#6293—22no—
105#6292—22no—
106#6291—22no—
107#6290—22no—
108#5528—91no—
109#5479—94no—
110C22×C32×C4—31no—
111C22×C32×C4—31no—
112C22×C32×C4—31no—
113C2×#638—31no—
114C2×#638—31no—
115C2×C4⋊(C3⋊D3)—31no—
116C2×C4×C3⋊D3—31no—
117C2×C4×C3⋊D3—34no—
118C2×C4×C3⋊D3—64no—
119C2×C4×C3⋊D3C2×D311yescharacteristic
120C2×#634—31no—
121C2×C3×C4×D3—34no—
122C2×C3×C4×D3C2×D314yes—
123C2×C3×C4×D3C2×D314yes—
124C2×C3×C4×D3C2×D314yes—
125C2×#627—34no—
126C2×#626—34no—
127C2×#626—34no—
128C2×#625—34no—
129C32×C42—24no—
130C32×C42—31no—
131C32×C42—31no—
132C32×C42—31no—
133C32×C42C2×D314yes—
134C32×C42C2×D311yescharacteristic
135#3757—31no—
136#3757—31no—
137#3752—31no—
138#3752—31no—
139#3752—31no—
140#3752—31no—
141#3752—34no—
142#3752—34no—
143#3752—31no—
144#3752—31no—
145#3752—64no—
146#3752—64no—
147#3752C2×D311yescharacteristic
148#3752C2×D311yescharacteristic
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—31no—
159#3750—64no—
160#3750—64no—
161#3750C2×D311yescharacteristic
162#3750C2×D311yescharacteristic
163C4×C3⋊Dic3—31no—
164C4×C3⋊Dic3—34no—
165C4×C3⋊Dic3—64no—
166C4×C3⋊Dic3C2×D311yescharacteristic
167C3×(C2×D3)⋊C4—34no—
168C3×(C2×D3)⋊C4—34no—
169C3×Dic3⋊C4—34no—
170C3×Dic3⋊C4—34no—
171C3×C4×Dic3—34no—
172C3×C4×Dic3C2×D314yes—
173C3×C4×Dic3C2×D314yes—
174C3×C4×Dic3C2×D314yes—
175#3724—34no—
176#3724—34no—
177Dic3⋊Dic3—34no—
178Dic3⋊Dic3—34no—
179Dic3⋊Dic3—34no—
180Dic3⋊Dic3—34no—
181#3722—34no—
182#3722—34no—
183(C2×D3)⋊Dic3—34no—
184(C2×D3)⋊Dic3—34no—
185(C2×D3)⋊Dic3—34no—
186(C2×D3)⋊Dic3—34no—
187C22×C33C2411yescharacteristic
188C2×C3⋊(C3⋊D3)—21no—
189C2×C3⋊(C3⋊D3)—21no—
190C2×C3⋊(C3⋊D3)—21no—
191C2×C3×C3⋊D3—21no—
192C2×C3×C3⋊D3—21no—
193C2×C3×C3⋊D3—21no—
194C2×C32×D3—21no—
195C2×C32×D3—21no—
196C2×C32×D3#4112yes—
197C33×C4—21no—
198C33×C4—21no—
199C33×C4#4112yes—
200C3⋊(C3⋊Dic3)—21no—
201C3⋊(C3⋊Dic3)—21no—
202C3⋊(C3⋊Dic3)—21no—
203C3×C3⋊Dic3—21no—
204C3×C3⋊Dic3—21no—
205C3×C3⋊Dic3—21no—
206C32×Dic3—21no—
207C32×Dic3—21no—
208C32×Dic3#4112yes—
209C3×#117—91no—
210C2×C3×C42—34no—
211#930—94no—
212#929—94no—
213#929—94no—
214C4×#67—94no—
215C4×#67—94no—
216C4×#67—91no—
217C4×#67—91no—
218#924—94no—
219#898—91no—
220#896—91no—
221#894—91no—
222#889—91no—
223#885—91no—
224#884—91no—
225#883—91no—
226#879—91no—
227#876—94no—
228#876—94no—
229#875—94no—
230C4×D12—94no—
231C4×D12—91no—
232#872—34no—
233#872—94no—
234#872—91no—
235#872—184no—
236C42×D3C3⋊D311yescharacteristic, complemented
237#870—94no—
238C4×Dic6—94no—
239C4×Dic6—91no—
240C23×C32—31no—
241C22×C3⋊D3—31no—
242C22×C3⋊D3—34no—
243C22×C3⋊D3—64no—
244C22×C3⋊D3C22×D311yescharacteristic
245C22×C3×D3—34no—
246C22×C3×D3C22×D314yes—
247C2×C32×C4—24no—
248C2×C32×C4—24no—
249C2×C32×C4—24no—
250C2×C32×C4—31no—
251C2×C32×C4—31no—
252C2×C32×C4—31no—
253C2×C32×C4—62no—
254C2×C32×C4—62no—
255C2×C32×C4—62no—
256C2×C32×C4C22×D314yes—
257C2×C32×C4C22×D314yes—
258C2×C32×C4C22×D314yes—
259C2×C32×C4C22×D311yescharacteristic
260C2×C32×C4C22×D311yescharacteristic
261C2×C32×C4C22×D311yescharacteristic
262#638—62no—
263#638—62no—
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—64no—
271C2×C3⋊Dic3—64no—
272C2×C3⋊Dic3—64no—
273C2×C3⋊Dic3C22×D311yescharacteristic
274C2×C3⋊Dic3C22×D311yescharacteristic
275C2×C3⋊Dic3C22×D311yescharacteristic
276C4⋊(C3⋊D3)—62no—
277C4×C3⋊D3—22no—
278C4×C3⋊D3—616no—
279C4×C3⋊D3—68no—
280C4×C3⋊D3—62no—
281#634—62no—
282C2×C3×Dic3—34no—
283C2×C3×Dic3—34no—
284C2×C3×Dic3—34no—
285C2×C3×Dic3C22×D314yes—
286C2×C3×Dic3C22×D314yes—
287C2×C3×Dic3C22×D314yes—
288C3×C4×D3—28no—
289C3×C4×D3—28no—
290C3×C4×D3—28no—
291C3×C4×D3—68no—
292#627—68no—
293#626—68no—
294#626—68no—
295#625—68no—
296#529—271noSylow
297C2×C33C2×#4111yescharacteristic
298C2×C33C2×#4111yescharacteristic
299C2×C33C2×#4111yescharacteristic
300C3⋊(C3⋊D3)—41no—
301C3×C3⋊D3—41no—
302C32×D3—22no—
303C22×C3×C4—34no—
304C22×C3×C4—34no—
305C22×C3×C4—34no—
306C22×C3×C4—91no—
307C2×#67—94no—
308C2×#67—94no—
309C2×#67—91no—
310C2×#67—91no—
311C2×D12—94no—
312C2×D12—91no—
313C2×C4×D3—34no—
314C2×C4×D3—94no—
315C2×C4×D3—91no—
316C2×C4×D3—184no—
317C2×C4×D3C2×C3⋊D311yescharacteristic
318C2×C4×D3C2×C3⋊D311yescharacteristic
319C2×C4×D3C2×C3⋊D311yescharacteristic
320C2×Dic6—94no—
321C2×Dic6—91no—
322C3×C4⋊C4—91no—
323C3×C4⋊C4—91no—
324C3×C22⋊C4—91no—
325C3×C22⋊C4—91no—
326C3×C42—24no—
327C3×C42—34no—
328C3×C42—34no—
329C3×C42—34no—
330C3×C42—91no—
331C3×C42D3214yes—
332C3×C42C2×C3⋊D311yescharacteristic
333#217—94no—
334#217—94no—
335#217—91no—
336#217—91no—
337(C2×D3)⋊C4—34no—
338(C2×D3)⋊C4—34no—
339(C2×D3)⋊C4—94no—
340(C2×D3)⋊C4—94no—
341(C2×D3)⋊C4—94no—
342(C2×D3)⋊C4—94no—
343(C2×D3)⋊C4—91no—
344(C2×D3)⋊C4—91no—
345(C2×D3)⋊C4—94no—
346(C2×D3)⋊C4—94no—
347(C2×D3)⋊C4—91no—
348(C2×D3)⋊C4—91no—
349(C2×D3)⋊C4—91no—
350(C2×D3)⋊C4—91no—
351(C2×D3)⋊C4—184no—
352(C2×D3)⋊C4—184no—
353C4⋊Dic3—94no—
354C4⋊Dic3—94no—
355C4⋊Dic3—91no—
356C4⋊Dic3—91no—
357Dic3⋊C4—34no—
358Dic3⋊C4—34no—
359Dic3⋊C4—94no—
360Dic3⋊C4—94no—
361Dic3⋊C4—94no—
362Dic3⋊C4—94no—
363Dic3⋊C4—94no—
364Dic3⋊C4—94no—
365Dic3⋊C4—91no—
366Dic3⋊C4—91no—
367Dic3⋊C4—91no—
368Dic3⋊C4—91no—
369Dic3⋊C4—91no—
370Dic3⋊C4—91no—
371Dic3⋊C4—184no—
372Dic3⋊C4—184no—
373C4×Dic3—34no—
374C4×Dic3—94no—
375C4×Dic3—91no—
376C4×Dic3—184no—
377C4×Dic3C2×C3⋊D311yescharacteristic
378C4×Dic3C2×C3⋊D311yescharacteristic
379C4×Dic3C2×C3⋊D311yescharacteristic
380C22×C32—24no—
381C22×C32—32no—
382C22×C32—61no—
383C22×C32—61no—
384C22×C32C23×D314yes—
385C22×C32C23×D311yescharacteristic
386C2×C3⋊D3—21no—
387C2×C3⋊D3—21no—
388C2×C3⋊D3—21no—
389C2×C3⋊D3—68no—
390C2×C3⋊D3—64no—
391C2×C3⋊D3—61no—
392C2×C3⋊D3—61no—
393C2×C3⋊D3—61no—
394C2×C3⋊D3—64no—
395C2×C3⋊D3—64no—
396C2×C3⋊D3—124no—
397C2×C3⋊D3—124no—
398C2×C3×D3—24no—
399C2×C3×D3—24no—
400C2×C3×D3—64no—
401C2×C3×D3—64no—
402C2×C3×D3—64no—
403C2×C3×D3#23518yes—
404C32×C4—21no—
405C32×C4—21no—
406C32×C4—28no—
407C32×C4—24no—
408C32×C4—24no—
409C32×C4—32no—
410C32×C4—44no—
411C32×C4—44no—
412C32×C4—61no—
413C32×C4—61no—
414C32×C4#23518yes—
415C32×C4#23512yes—
416C3⋊Dic3—21no—
417C3⋊Dic3—21no—
418C3⋊Dic3—21no—
419C3⋊Dic3—68no—
420C3⋊Dic3—64no—
421C3⋊Dic3—61no—
422C3⋊Dic3—61no—
423C3⋊Dic3—61no—
424C3⋊Dic3—64no—
425C3⋊Dic3—64no—
426C3⋊Dic3—124no—
427C3⋊Dic3—124no—
428C3×Dic3—24no—
429C3×Dic3—24no—
430C3×Dic3—64no—
431C3×Dic3—64no—
432C3×Dic3—64no—
433C3×Dic3#23518yes—
434#126—271no—
435#126—271no—
436#125—271no—
437#124—271no—
438#123—271no—
439#123—271no—
440C22⋊Q8—271no—
441#121—271no—
442C4×Q8—271no—
443C4×D4—271no—
444C4×D4—271no—
445C4×D4—271no—
446#117—91no—
447#117—271no—
448C2×C42—31no—
449C33#52911yescharacteristic, complemented, Sylow
450C23×C3—34no—
451C23×C3—91no—
452C22×D3—34no—
453C22×D3—94no—
454C22×D3—91no—
455C22×D3—184no—
456C22×D3C22×C3⋊D311yescharacteristic
457C2×C3×C4—24no—
458C2×C3×C4—24no—
459C2×C3×C4—24no—
460C2×C3×C4—34no—
461C2×C3×C4—34no—
462C2×C3×C4—34no—
463C2×C3×C4—68no—
464C2×C3×C4—68no—
465C2×C3×C4—68no—
466C2×C3×C4—91no—
467C2×C3×C4—91no—
468C2×C3×C4—91no—
469C2×C3×C4—182no—
470C2×C3×C4C2×D3214yes—
471C2×C3×C4C2×D3214yes—
472C2×C3×C4C2×D3214yes—
473C2×C3×C4C22×C3⋊D311yescharacteristic
474C2×C3×C4C22×C3⋊D311yescharacteristic
475C2×C3×C4C22×C3⋊D311yescharacteristic
476#67—188no—
477#67—188no—
478#67—182no—
479#67—182no—
480C2×Dic3—34no—
481C2×Dic3—34no—
482C2×Dic3—34no—
483C2×Dic3—94no—
484C2×Dic3—94no—
485C2×Dic3—94no—
486C2×Dic3—91no—
487C2×Dic3—91no—
488C2×Dic3—91no—
489C2×Dic3—184no—
490C2×Dic3—184no—
491C2×Dic3—184no—
492C2×Dic3C22×C3⋊D311yescharacteristic
493C2×Dic3C22×C3⋊D311yescharacteristic
494C2×Dic3C22×C3⋊D311yescharacteristic
495D12—188no—
496D12—182no—
497C4×D3—22no—
498C4×D3—22no—
499C4×D3—22no—
500C4×D3—68no—
501C4×D3—1816no—
502C4×D3—188no—
503C4×D3—182no—
504Dic6—188no—
505Dic6—182no—
506C2×C32—24no—
507C2×C32—24no—
508C2×C32—24no—
509C2×C32—62no—
510C2×C32C2×#23514yes—
511C2×C32C2×#23514yes—
512C2×C32C2×#23514yes—
513C2×C32C2×#23511yescharacteristic
514C2×C32D3×#4111yescharacteristic
515C2×C32D3×#4111yescharacteristic
516C3⋊D3—41no—
517C3⋊D3—128no—
518C3⋊D3—124no—
519C3⋊D3—121no—
520C3×D3—28no—
521C3×D3—124no—
522C2×Q8—271no—
523C2×D4—271no—
524C2×D4—271no—
525C2×D4—271no—
526C22×C4—31no—
527C22×C4—31no—
528C22×C4—31no—
529C22×C4—91no—
530C22×C4—271no—
531C4⋊C4—91no—
532C4⋊C4—91no—
533C4⋊C4—271no—
534C4⋊C4—271no—
535C4⋊C4—271no—
536C4⋊C4—271no—
537C4⋊C4—271no—
538C4⋊C4—271no—
539C4⋊C4—271no—
540C4⋊C4—271no—
541C22⋊C4—91no—
542C22⋊C4—91no—
543C22⋊C4—271no—
544C22⋊C4—271no—
545C22⋊C4—271no—
546C22⋊C4—271no—
547C22⋊C4—271no—
548C22⋊C4—271no—
549C22⋊C4—271no—
550C22⋊C4—271no—
551C42—31no—
552C42—31no—
553C42—31no—
554C42—91no—
555C42—271no—
556C42D3×C3⋊D311yescharacteristic
557C22×C3—24no—
558C22×C3—38no—
559C22×C3—64no—
560C22×C3—64no—
561C22×C3—181no—
562C22×C3—181no—
563C22×C3—181no—
564C22×C3C22×D3214yes—
565C22×C3C23×C3⋊D311yescharacteristic
566C2×D3—21no—
567C2×D3—21no—
568C2×D3—64no—
569C2×D3—64no—
570C2×D3—64no—
571C2×D3—188no—
572C2×D3—184no—
573C2×D3—184no—
574C2×D3—184no—
575C2×D3—181no—
576C2×D3—181no—
577C2×D3—181no—
578C2×D3—364no—
579C2×D3—364no—
580C2×D3#382812yes—
581C3×C4—24no—
582C3×C4—24no—
583C3×C4—21no—
584C3×C4—21no—
585C3×C4—28no—
586C3×C4—38no—
587C3×C4—44no—
588C3×C4—44no—
589C3×C4—64no—
590C3×C4—64no—
591C3×C4—181no—
592C3×C4—181no—
593C3×C4—181no—
594C3×C4#379818yes—
595C3×C4#382812yes—
596Dic3—21no—
597Dic3—21no—
598Dic3—64no—
599Dic3—64no—
600Dic3—64no—
601Dic3—188no—
602Dic3—184no—
603Dic3—184no—
604Dic3—184no—
605Dic3—181no—
606Dic3—181no—
607Dic3—181no—
608Dic3—364no—
609Dic3—364no—
610Dic3#382812yes—
611C32—24no—
612C32#547914yescomplemented
613C32#552811yescharacteristic, complemented
614C23—31no—
615C23—91no—
616C23—271no—
617Q8—542no—
618D4—542no—
619D4—542no—
620D4—542no—
621C2×C4—31no—
622C2×C4—31no—
623C2×C4—31no—
624C2×C4—62no—
625C2×C4—62no—
626C2×C4—62no—
627C2×C4—91no—
628C2×C4—91no—
629C2×C4—91no—
630C2×C4—182no—
631C2×C4—271no—
632C2×C4—271no—
633C2×C4—271no—
634C2×C4—542no—
635C2×C4C2×D3×C3⋊D311yescharacteristic
636C2×C4C2×D3×C3⋊D311yescharacteristic
637C2×C4C2×D3×C3⋊D311yescharacteristic
638C2×C3—24no—
639C2×C3—24no—
640C2×C3—24no—
641C2×C3—68no—
642C2×C3—361no—
643C2×C3C2×#379814yes—
644C2×C3D3×#23514yes—
645C2×C3D3×#23514yes—
646C2×C3C2×#382811yescharacteristic
647C2×C3C2×#382811yescharacteristic
648C2×C3C2×#382811yescharacteristic
649D3—22no—
650D3—124no—
651D3—368no—
652D3—361no—
653D3—364no—
654C22—32no—
655C22—61no—
656C22—61no—
657C22—181no—
658C22—181no—
659C22—181no—
660C22—541no—
661C22—541no—
662C22—541no—
663C22C22×D3×C3⋊D311yescharacteristic
664C4—21no—
665C4—21no—
666C4—32no—
667C4—61no—
668C4—61no—
669C4—181no—
670C4—181no—
671C4—181no—
672C4—541no—
673C4—541no—
674C4—541no—
675C4#8902012yes—
676C3—24no—
677C3#1059397314yescomplemented
678C3#1059595011yescharacteristic, complemented
679C2—62no—
680C2—361no—
681C2—1081no—
682C2C2×#8902011yescharacteristic
683C2D3×#382811yescharacteristic
684C2D3×#382811yescharacteristic
subgroupG/H
centerC2×C4C2×D3×C3⋊D3
commutator, socle, cosocleC22×C33C24
FrattiniC22C22×D3×C3⋊D3
FittingC33×C42C22
prime radical#11723514C2
hypercenterC42D3×C3⋊D3
hypocenterC33#529
LCSG ▷ C22×C33 ▷ C33
UCSC1 ◁ C2×C4 ◁ C42

Complements

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

NH ≅ G/Ntype
1. #11723913C2semidirect
2. C3×#64081C2semidirect
3. C32×C42×D3C2semidirect
4. C4×#6293C2semidirect
6. #11723513C2semidirect
7. C4×#6292C2semidirect
8. C4×#6291C2semidirect
9. C4×#6290C2semidirect
10. #11723453C2semidirect
11. #11723444C2semidirect
12. #11723438C2semidirect
13. #11723416C2semidirect
14. #11723415C2semidirect
15. #11723414C2semidirect
67. #64081D3semidirect
71. C3×C42×D3D3semidirect
236. C42×D3C3⋊D3semidirect
449. C33#529semidirect
612. C32#5479semidirect
613. C32#5528semidirect
677. C3#10593973semidirect
678. C3#10595950semidirect

Maximal subgroups

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

subgroupindex
#117239132
C3×#640812
C32×C42×D32
C4×#62932
#117235142
#117235132
C4×#62922
C4×#62912
C4×#62902
#117234532
#117234442
#117234382
#117234162
#117234152
#117234142
#105959503
#105939733