Finite Group Databasebeta

← #13177233

Subgroups — #13177233

Order 1728.

1676 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#88857C211yesmaximal, characteristic, complemented
2C3×C4×#638C211yesmaximal, characteristic, complemented
3C32×C4×#67C211yesmaximal, characteristic, complemented
4#11723642C211yesmaximal, characteristic, complemented
5#11723637C211yesmaximal, characteristic
6#11723609C211yesmaximal, characteristic, complemented
7#11723603C211yesmaximal, characteristic, complemented
8#11723518C211yesmaximal, characteristic, complemented
9#11723513C211yesmaximal, characteristic, complemented
10#11723445C211yesmaximal, characteristic, complemented
11#11723444C211yesmaximal, characteristic, complemented
12#11723438C211yesmaximal, characteristic, complemented
13#11723428C211yesmaximal, characteristic, complemented
14#11723418C211yesmaximal, characteristic, complemented
15#11723415C211yesmaximal, characteristic, complemented
16#10596035—31nomaximal
17#10595037—34nomaximal
18C22×C33×C4C2211yescharacteristic
19C22×C3⋊(C3⋊Dic3)C2211yescharacteristic
20C22×C3⋊(C3⋊Dic3)C2211yescharacteristic
21C2×C3×#638C2211yescharacteristic
22C2×C3×C4×C3⋊D3C2211yescharacteristic
23C2×C32×#67C2211yescharacteristic
24C2×C32×C4×D3C2211yescharacteristic
25C2×#6293C2211yescharacteristic
26C2×#6290C2211yescharacteristic
27#88857C2211yescharacteristic
28#88857C2211yescharacteristic
29#88857C2211yescharacteristic
30#88857C2211yescharacteristic
31C3×#3757C2211yescharacteristic
32C3×#3752C2211yescharacteristic
33C3×#3750C2211yescharacteristic
34C3×C4×C3⋊Dic3C2211yescharacteristic
35C32×#217C2211yescharacteristic
36C32×(C2×D3)⋊C4C2211yescharacteristic
37C32×Dic3⋊C4C2211yescharacteristic
38C32×C4×Dic3C2211yescharacteristic
39#88807C2211yescharacteristic
40#88807C2211yescharacteristic
41#88807C2211yescharacteristic
42#88806C2211yescharacteristic
43#88806C2211yescharacteristic
44Dic3⋊(C3⋊Dic3)C2211yescharacteristic
45Dic3⋊(C3⋊Dic3)C2211yescharacteristic
46Dic3⋊(C3⋊Dic3)C2211yescharacteristic
47#88803C2211yescharacteristic
48#88803C2211yescharacteristic
49#88803C2211yescharacteristic
50(C2×D3)⋊(C3⋊Dic3)C2211yescharacteristic
51(C2×D3)⋊(C3⋊Dic3)C2211yescharacteristic
52(C2×D3)⋊(C3⋊Dic3)C2211yescharacteristic
53C32×C4×D4—31no—
54#64148—31no—
55#64144—31no—
56#64138—31no—
57C4×#638D311yescharacteristic, complemented
58#64133—31no—
59C2×#3750—31no—
60C2×#3750—34no—
61C2×#3750—64no—
62#64105—31no—
63#64098—31no—
64#64095—31no—
65#64092—31no—
66#64088—31no—
67#64087—31no—
68#64085—31no—
69#64079—31no—
70C3×C4×#67—34no—
71C3×C4×#67D314yescomplemented
72#63982—34no—
73#63980—34no—
74#63962—34no—
75#63962—34no—
76#63905—34no—
77#63905—34no—
78#63867—34no—
79#63867—34no—
80#63859—34no—
81#63859—34no—
82#63851—34no—
83#63851—34no—
84C23×C33C2311yescharacteristic
85C22×C3×C3⋊D3C2311yescharacteristic
86C22×C32×D3C2311yescharacteristic
87C2×C33×C4—41no—
88C2×C33×C4C2311yescharacteristic
89C2×C33×C4C2311yescharacteristic
90C2×C3⋊(C3⋊Dic3)—22no—
91C2×C3⋊(C3⋊Dic3)—41no—
92C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
93C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
94C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
95C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
96C3×#638—22no—
97C2×C3×C3⋊Dic3C2311yescharacteristic
98C2×C3×C3⋊Dic3C2311yescharacteristic
99C2×C3×C3⋊Dic3C2311yescharacteristic
100C3×C4×C3⋊D3—41no—
101C32×#67—22no—
102C2×C32×Dic3C2311yescharacteristic
103C2×C32×Dic3C2311yescharacteristic
104C2×C32×Dic3C2311yescharacteristic
105C32×C4×D3—41no—
106#6293—41no—
107#6290—41no—
108#5564—94no—
109#5564—91no—
110C2×C32×D4—31no—
111C22×C32×C4—24no—
112C22×C32×C4—31no—
113C22×C32×C4C2×D314yes—
114C22×C32×C4C2×D311yescharacteristic
115C2×#638—31no—
116C2×#638C2×D311yescharacteristic
117C22×C3⋊Dic3—31no—
118C22×C3⋊Dic3—34no—
119C22×C3⋊Dic3—31no—
120C22×C3⋊Dic3—34no—
121C22×C3⋊Dic3—64no—
122C22×C3⋊Dic3—64no—
123C2×C4×C3⋊D3C2×D311yescharacteristic
124C2×#634—31no—
125C2×C3×#67—34no—
126C2×C3×#67C2×D314yes—
127C2×C3×C4×D3—34no—
128C2×C3×C4×D3C2×D314yes—
129C2×#627—34no—
130C2×#625—34no—
131C32×C4⋊C4—31no—
132C32×C22⋊C4—31no—
133C32×C22⋊C4—31no—
134C32×C42—31no—
135#3757—31no—
136#3757—31no—
137#3757—31no—
138#3757C2×D311yescharacteristic
139#3752—31no—
140#3752—31no—
141#3752—31no—
142#3752C2×D311yescharacteristic
143C4⋊(C3⋊Dic3)—31no—
144C4⋊(C3⋊Dic3)—31no—
145C4⋊(C3⋊Dic3)—31no—
146#3750—31no—
147#3750—31no—
148#3750—31no—
149#3750—31no—
150#3750—34no—
151#3750—34no—
152#3750—34no—
153#3750—34no—
154#3750—31no—
155#3750—31no—
156#3750—31no—
157#3750—31no—
158#3750—31no—
159#3750—64no—
160#3750—64no—
161#3750—64no—
162#3750—64no—
163#3750C2×D311yescharacteristic
164C4×C3⋊Dic3C2×D311yescharacteristic
165C3×#217—34no—
166C3×#217C2×D314yes—
167C3×(C2×D3)⋊C4—34no—
168C3×(C2×D3)⋊C4C2×D314yes—
169C3×Dic3⋊C4—34no—
170C3×Dic3⋊C4C2×D314yes—
171C3×C4×Dic3—34no—
172C3×C4×Dic3C2×D314yes—
173#3724—34no—
174#3724—34no—
175Dic3⋊Dic3—34no—
176Dic3⋊Dic3—34no—
177Dic3⋊Dic3—34no—
178Dic3⋊Dic3—34no—
179Dic3⋊Dic3—34no—
180Dic3⋊Dic3—34no—
181(C2×D3)⋊Dic3—34no—
182(C2×D3)⋊Dic3—34no—
183(C2×D3)⋊Dic3—34no—
184(C2×D3)⋊Dic3—34no—
185(C2×D3)⋊Dic3—34no—
186(C2×D3)⋊Dic3—34no—
187C22×C33—21no—
188C22×C33—21no—
189C22×C33#4112yes—
190C22×C33C2411yescharacteristic
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—21no—
197C33×C4—21no—
198C33×C4—21no—
199C3⋊(C3⋊Dic3)—21no—
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—21no—
209C3×C4×D4—34no—
210C3×C4×D4—91no—
211#939—94no—
212#939—91no—
213#935—94no—
214#935—91no—
215#929—94no—
216#929—91no—
217C4×#67—34no—
218C4×#67C3⋊D311yescharacteristic, complemented
219#924—94no—
220#924—91no—
221C2×Dic3⋊C4—94no—
222C2×Dic3⋊C4—91no—
223C2×Dic3⋊C4—184no—
224#896—94no—
225#896—91no—
226#889—94no—
227#889—91no—
228#886—94no—
229#886—91no—
230#883—94no—
231#883—91no—
232#879—94no—
233#879—91no—
234#878—94no—
235#878—91no—
236#876—94no—
237#876—91no—
238#870—94no—
239#870—91no—
240C23×C32—24no—
241C23×C32—31no—
242C23×C32C22×D314yes—
243C23×C32C22×D311yescharacteristic
244C22×C3⋊D3C22×D311yescharacteristic
245C22×C3×D3—34no—
246C22×C3×D3C22×D314yes—
247C32×D4—62no—
248C2×C32×C4—24no—
249C2×C32×C4—24no—
250C2×C32×C4—31no—
251C2×C32×C4—31no—
252C2×C32×C4—31no—
253C2×C32×C4—41no—
254C2×C32×C4—44no—
255C2×C32×C4—48no—
256C2×C32×C4—121no—
257C2×C32×C4C22×D314yes—
258C2×C32×C4C22×D314yes—
259C2×C32×C4C22×D311yescharacteristic
260C2×C32×C4C22×D311yescharacteristic
261#638—22no—
262#638—121no—
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—616no—
276C2×C3⋊Dic3—68no—
277C2×C3⋊Dic3—62no—
278C2×C3⋊Dic3—121no—
279C2×C3⋊Dic3—124no—
280C2×C3⋊Dic3—128no—
281C2×C3⋊Dic3C22×D311yescharacteristic
282C2×C3⋊Dic3C22×D311yescharacteristic
283C2×C3⋊Dic3C22×D311yescharacteristic
284C4×C3⋊D3—41no—
285#634—121no—
286C3×#67—28no—
287C3×#67—68no—
288C2×C3×Dic3—34no—
289C2×C3×Dic3—34no—
290C2×C3×Dic3—34no—
291C2×C3×Dic3C22×D314yes—
292C2×C3×Dic3C22×D314yes—
293C2×C3×Dic3C22×D314yes—
294C3×C4×D3—44no—
295C3×C4×D3—124no—
296#627—124no—
297#625—124no—
298#539—271noSylow
299C2×C33—22no—
300C2×C33C2×#4111yescharacteristic
301C2×C33H(5,𝔽2)11yescharacteristic
302C2×C332−1+411yescharacteristic
303C3×C3⋊D3—41no—
304C32×D3—41no—
305C2×C3×D4—34no—
306C2×C3×D4—91no—
307C22×C3×C4—24no—
308C22×C3×C4—34no—
309C22×C3×C4—91no—
310C22×C3×C4D3214yes—
311C22×C3×C4C2×C3⋊D311yescharacteristic
312C2×#67—34no—
313C2×#67—94no—
314C2×#67—91no—
315C2×#67C2×C3⋊D311yescharacteristic
316C22×Dic3—94no—
317C22×Dic3—91no—
318C22×Dic3—94no—
319C22×Dic3—91no—
320C22×Dic3—184no—
321C22×Dic3—184no—
322C2×C4×D3—34no—
323C2×C4×D3C2×C3⋊D311yescharacteristic
324C2×Dic6—94no—
325C2×Dic6—91no—
326C3×C4⋊C4—34no—
327C3×C4⋊C4—91no—
328C3×C22⋊C4—34no—
329C3×C22⋊C4—34no—
330C3×C22⋊C4—91no—
331C3×C22⋊C4—91no—
332C3×C42—34no—
333C3×C42—91no—
334#217—34no—
335#217—94no—
336#217—94no—
337#217—94no—
338#217—91no—
339#217—91no—
340#217—91no—
341#217C2×C3⋊D311yescharacteristic
342(C2×D3)⋊C4—34no—
343(C2×D3)⋊C4—94no—
344(C2×D3)⋊C4—94no—
345(C2×D3)⋊C4—94no—
346(C2×D3)⋊C4—91no—
347(C2×D3)⋊C4—91no—
348(C2×D3)⋊C4—91no—
349(C2×D3)⋊C4C2×C3⋊D311yescharacteristic
350C4⋊Dic3—94no—
351C4⋊Dic3—94no—
352C4⋊Dic3—94no—
353C4⋊Dic3—91no—
354C4⋊Dic3—91no—
355C4⋊Dic3—91no—
356Dic3⋊C4—34no—
357Dic3⋊C4—94no—
358Dic3⋊C4—94no—
359Dic3⋊C4—94no—
360Dic3⋊C4—94no—
361Dic3⋊C4—94no—
362Dic3⋊C4—94no—
363Dic3⋊C4—94no—
364Dic3⋊C4—94no—
365Dic3⋊C4—94no—
366Dic3⋊C4—91no—
367Dic3⋊C4—91no—
368Dic3⋊C4—91no—
369Dic3⋊C4—91no—
370Dic3⋊C4—91no—
371Dic3⋊C4—91no—
372Dic3⋊C4—91no—
373Dic3⋊C4—91no—
374Dic3⋊C4—91no—
375Dic3⋊C4—184no—
376Dic3⋊C4—184no—
377Dic3⋊C4—184no—
378Dic3⋊C4—184no—
379Dic3⋊C4C2×C3⋊D311yescharacteristic
380C4×Dic3—34no—
381C4×Dic3C2×C3⋊D311yescharacteristic
382C22×C32—28no—
383C22×C32—28no—
384C22×C32—24no—
385C22×C32—21no—
386C22×C32—24no—
387C22×C32—21no—
388C22×C32—24no—
389C22×C32—28no—
390C22×C32—61no—
391C22×C32—61no—
392C22×C32—61no—
393C22×C32#23518yes—
394C22×C32#23512yes—
395C22×C32C23×D314yes—
396C22×C32C23×D311yescharacteristic
397C2×C3⋊D3—21no—
398C2×C3⋊D3—21no—
399C2×C3⋊D3—21no—
400C2×C3×D3—24no—
401C2×C3×D3—24no—
402C2×C3×D3—24no—
403C2×C3×D3—64no—
404C2×C3×D3—64no—
405C2×C3×D3—64no—
406C32×C4—21no—
407C32×C4—21no—
408C32×C4—24no—
409C32×C4—24no—
410C32×C4—44no—
411C32×C4—44no—
412C32×C4—61no—
413C32×C4—61no—
414C32×C4—61no—
415C3⋊Dic3—21no—
416C3⋊Dic3—21no—
417C3⋊Dic3—21no—
418C3⋊Dic3—68no—
419C3⋊Dic3—68no—
420C3⋊Dic3—64no—
421C3⋊Dic3—64no—
422C3⋊Dic3—61no—
423C3⋊Dic3—61no—
424C3⋊Dic3—61no—
425C3⋊Dic3—61no—
426C3⋊Dic3—64no—
427C3⋊Dic3—64no—
428C3⋊Dic3—124no—
429C3⋊Dic3—124no—
430C3×Dic3—24no—
431C3×Dic3—24no—
432C3×Dic3—24no—
433C3×Dic3—64no—
434C3×Dic3—64no—
435C3×Dic3—64no—
436#126—271no—
437#126—271no—
438#125—271no—
439#125—271no—
440#123—271no—
441#123—271no—
442#123—271no—
443#123—271no—
444C22⋊Q8—271no—
445C22⋊Q8—271no—
446C22⋊Q8—271no—
447#121—271no—
448C4×D4—31no—
449C4×D4—91no—
450C2×C4⋊C4—271no—
451C33#53911yescharacteristic, complemented, Sylow
452C23×C3—24no—
453C23×C3—34no—
454C23×C3—91no—
455C23×C3C2×D3214yes—
456C23×C3C22×C3⋊D311yescharacteristic
457C22×D3—34no—
458C22×D3C22×C3⋊D311yescharacteristic
459C3×D4—68no—
460C3×D4—182no—
461C2×C3×C4—24no—
462C2×C3×C4—24no—
463C2×C3×C4—34no—
464C2×C3×C4—34no—
465C2×C3×C4—34no—
466C2×C3×C4—44no—
467C2×C3×C4—41no—
468C2×C3×C4—48no—
469C2×C3×C4—91no—
470C2×C3×C4—91no—
471C2×C3×C4—91no—
472C2×C3×C4—124no—
473C2×C3×C4—361no—
474C2×C3×C4C2×D3214yes—
475C2×C3×C4C2×D3214yes—
476C2×C3×C4C22×C3⋊D311yescharacteristic
477C2×C3×C4C22×C3⋊D311yescharacteristic
478#67—22no—
479#67—68no—
480#67—361no—
481#67—364no—
482C2×Dic3—34no—
483C2×Dic3—34no—
484C2×Dic3—34no—
485C2×Dic3—94no—
486C2×Dic3—94no—
487C2×Dic3—94no—
488C2×Dic3—94no—
489C2×Dic3—91no—
490C2×Dic3—91no—
491C2×Dic3—91no—
492C2×Dic3—91no—
493C2×Dic3—184no—
494C2×Dic3—184no—
495C2×Dic3—184no—
496C2×Dic3—184no—
497C2×Dic3—1816no—
498C2×Dic3—188no—
499C2×Dic3—182no—
500C2×Dic3—364no—
501C2×Dic3—361no—
502C2×Dic3—368no—
503C2×Dic3C22×C3⋊D311yescharacteristic
504C2×Dic3C22×C3⋊D311yescharacteristic
505C2×Dic3C22×C3⋊D311yescharacteristic
506C4×D3—41no—
507C4×D3—124no—
508Dic6—361no—
509Dic6—364no—
510C2×C32—216no—
511C2×C32—28no—
512C2×C32—22no—
513C2×C32—24no—
514C2×C32—24no—
515C2×C32—24no—
516C2×C32—121no—
517C2×C32C2×#23514yes—
518C2×C32C2×#23511yescharacteristic
519C2×C32#100414yes—
520C2×C32#100411yescharacteristic
521C2×C32#101014yes—
522C2×C32#101011yescharacteristic
523C3⋊D3—41no—
524C3×D3—44no—
525C3×D3—124no—
526C2×Q8—271no—
527C2×D4—31no—
528C2×D4—91no—
529C2×D4—271no—
530C22×C4—31no—
531C22×C4—91no—
532C22×C4—271no—
533C22×C4—271no—
534C22×C4D3×C3⋊D311yescharacteristic
535C4⋊C4—31no—
536C4⋊C4—91no—
537C4⋊C4—271no—
538C4⋊C4—271no—
539C4⋊C4—271no—
540C4⋊C4—271no—
541C4⋊C4—271no—
542C4⋊C4—271no—
543C4⋊C4—271no—
544C4⋊C4—271no—
545C4⋊C4—271no—
546C4⋊C4—271no—
547C4⋊C4—271no—
548C4⋊C4—271no—
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—
558C22⋊C4—271no—
559C42—31no—
560C42—91no—
561C22×C3—28no—
562C22×C3—28no—
563C22×C3—24no—
564C22×C3—24no—
565C22×C3—21no—
566C22×C3—21no—
567C22×C3—24no—
568C22×C3—28no—
569C22×C3—64no—
570C22×C3—64no—
571C22×C3—64no—
572C22×C3—181no—
573C22×C3—181no—
574C22×C3—181no—
575C22×C3#379818yes—
576C22×C3#382812yes—
577C22×C3C22×D3214yes—
578C22×C3C23×C3⋊D311yescharacteristic
579C2×D3—21no—
580C2×D3—21no—
581C2×D3—21no—
582C2×D3—64no—
583C2×D3—64no—
584C2×D3—64no—
585C3×C4—24no—
586C3×C4—24no—
587C3×C4—21no—
588C3×C4—21no—
589C3×C4—44no—
590C3×C4—44no—
591C3×C4—64no—
592C3×C4—64no—
593C3×C4—64no—
594C3×C4—181no—
595C3×C4—181no—
596C3×C4—181no—
597Dic3—21no—
598Dic3—21no—
599Dic3—21no—
600Dic3—64no—
601Dic3—64no—
602Dic3—64no—
603Dic3—188no—
604Dic3—188no—
605Dic3—184no—
606Dic3—184no—
607Dic3—184no—
608Dic3—184no—
609Dic3—181no—
610Dic3—181no—
611Dic3—181no—
612Dic3—181no—
613Dic3—364no—
614Dic3—364no—
615C32—24no—
616C32#556414yescomplemented
617C32#556411yescharacteristic, complemented
618C23—31no—
619C23—91no—
620C23C2×D3×C3⋊D311yescharacteristic
621Q8—1081no—
622D4—62no—
623D4—182no—
624D4—1081no—
625C2×C4—31no—
626C2×C4—31no—
627C2×C4—31no—
628C2×C4—41no—
629C2×C4—91no—
630C2×C4—91no—
631C2×C4—91no—
632C2×C4—121no—
633C2×C4—271no—
634C2×C4—271no—
635C2×C4—271no—
636C2×C4—271no—
637C2×C4—361no—
638C2×C4—542no—
639C2×C4—1081no—
640C2×C4C2×D3×C3⋊D311yescharacteristic
641C2×C4C2×D3×C3⋊D311yescharacteristic
642C2×C3—216no—
643C2×C3—22no—
644C2×C3—28no—
645C2×C3—24no—
646C2×C3—24no—
647C2×C3—24no—
648C2×C3—124no—
649C2×C3—361no—
650C2×C3#6429814yes—
651C2×C3C2×#379814yes—
652C2×C3#6433014yes—
653C2×C3C2×#382811yescharacteristic
654C2×C3#6436111yescharacteristic
655C2×C3#6436711yescharacteristic
656D3—41no—
657D3—124no—
658C22—21no—
659C22—21no—
660C22—61no—
661C22—61no—
662C22—61no—
663C22—181no—
664C22—181no—
665C22—181no—
666C22#8902012yes—
667C22C22×D3×C3⋊D311yescharacteristic
668C4—21no—
669C4—21no—
670C4—61no—
671C4—61no—
672C4—61no—
673C4—181no—
674C4—181no—
675C4—181no—
676C4—541no—
677C4—541no—
678C4—541no—
679C4—541no—
680C3—24no—
681C3#1059503714yescomplemented
682C3#1059603511yescharacteristic, complemented
683C2—22no—
684C2—121no—
685C2—361no—
686C2#1172456311yescharacteristic
687C2C2×#8902011yescharacteristic
688C2#1172461111yescharacteristic
subgroupG/H
center, FrattiniC22C22×D3×C3⋊D3
commutator, socle, cosocleC22×C33C24
FittingC22×C33×C4C22
prime radical#11723637C2
hypercenterC22×C4D3×C3⋊D3
hypocenterC33#539
LCSG ▷ C22×C33 ▷ C33
UCSC1 ◁ C22 ◁ C22×C4

Complements

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

NH ≅ G/Ntype
1. C2×#88857C2semidirect
2. C3×C4×#638C2semidirect
3. C32×C4×#67C2semidirect
4. #11723642C2semidirect
6. #11723609C2semidirect
7. #11723603C2semidirect
8. #11723518C2semidirect
9. #11723513C2semidirect
10. #11723445C2semidirect
11. #11723444C2semidirect
12. #11723438C2semidirect
13. #11723428C2semidirect
14. #11723418C2semidirect
15. #11723415C2semidirect
57. C4×#638D3semidirect
71. C3×C4×#67D3semidirect
218. C4×#67C3⋊D3semidirect
451. C33#539semidirect
616. C32#5564semidirect
617. C32#5564semidirect
681. C3#10595037semidirect
682. C3#10596035semidirect

Maximal subgroups

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

subgroupindex
C2×#888572
C3×C4×#6382
C32×C4×#672
#117236422
#117236372
#117236092
#117236032
#117235182
#117235132
#117234452
#117234442
#117234382
#117234282
#117234182
#117234152
#105960353
#105950373