Finite Group Databasebeta

← #13177237

Subgroups — #13177237

Order 1728.

1684 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
1C4×#6312C211yesmaximal, characteristic, complemented
2C3×C4×#638C211yesmaximal, characteristic, complemented
3C2×C32×Dic3⋊C4C211yesmaximal, characteristic, complemented
4#11723640C211yesmaximal, characteristic, complemented
5#11723632C211yesmaximal, characteristic
6#11723612C211yesmaximal, characteristic, complemented
7#11723605C211yesmaximal, characteristic, complemented
8#11723448C211yesmaximal, characteristic, complemented
9#11723446C211yesmaximal, characteristic, complemented
10#11723445C211yesmaximal, characteristic, complemented
11#11723442C211yesmaximal, characteristic, complemented
12#11723433C211yesmaximal, characteristic, complemented
13#11723421C211yesmaximal, characteristic, complemented
14#11723418C211yesmaximal, characteristic, complemented
15#11723417C211yesmaximal, characteristic, complemented
16#10595986—31nomaximal
17#10594842—34nomaximal
18C22×C33×C4C2211yescharacteristic
19C2×#6312C2211yescharacteristic
20C2×C4×C3⋊(C3⋊D3)C2211yescharacteristic
21C2×C3×#638C2211yescharacteristic
22C2×C3×C4×C3⋊D3C2211yescharacteristic
23C22×C32×Dic3C2211yescharacteristic
24C22×C32×Dic3C2211yescharacteristic
25C2×#6293C2211yescharacteristic
26C2×#6292C2211yescharacteristic
27#88864C2211yescharacteristic
28#88859C2211yescharacteristic
29#88857C2211yescharacteristic
30C4×C3⋊(C3⋊Dic3)C2211yescharacteristic
31C3×#3757C2211yescharacteristic
32C3×#3752C2211yescharacteristic
33C3×#3750C2211yescharacteristic
34C3×C4×C3⋊Dic3C2211yescharacteristic
35C32×Dic3⋊C4C2211yescharacteristic
36C32×Dic3⋊C4C2211yescharacteristic
37C32×Dic3⋊C4C2211yescharacteristic
38C32×Dic3⋊C4C2211yescharacteristic
39#88807C2211yescharacteristic
40#88807C2211yescharacteristic
41#88807C2211yescharacteristic
42#88806C2211yescharacteristic
43#88806C2211yescharacteristic
44#88806C2211yescharacteristic
45Dic3⋊(C3⋊Dic3)C2211yescharacteristic
46Dic3⋊(C3⋊Dic3)C2211yescharacteristic
47#88804C2211yescharacteristic
48#88804C2211yescharacteristic
49#88804C2211yescharacteristic
50#88803C2211yescharacteristic
51#88803C2211yescharacteristic
52#88803C2211yescharacteristic
53C2×C32×C4⋊C4—31no—
54#64139—31no—
55#64138—31no—
56#64138—31no—
57C4×#638—31no—
58C4×#638—34no—
59C4×#638—64no—
60C4×#638D311yescharacteristic, complemented
61#64133—31no—
62#64107—31no—
63#64107—31no—
64#64105—31no—
65#64105—31no—
66#64103—31no—
67#64103—31no—
68#64098—31no—
69#64098—31no—
70C3×C4×#67—34no—
71C2×C3×Dic3⋊C4D314yescomplemented
72#63978—34no—
73#63966—34no—
74#63964—34no—
75#63961—34no—
76#63870—34no—
77#63868—34no—
78#63867—34no—
79#63865—34no—
80#63862—34no—
81#63853—34no—
82#63851—34no—
83#63850—34no—
84C23×C33C2311yescharacteristic
85C22×C3⋊(C3⋊D3)C2311yescharacteristic
86C22×C3×C3⋊D3C2311yescharacteristic
87C2×C33×C4—41no—
88C2×C33×C4C2311yescharacteristic
89C2×C33×C4C2311yescharacteristic
90#6312—22no—
91C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
92C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
93C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
94C4×C3⋊(C3⋊D3)—41no—
95C3×#638—22no—
96C2×C3×C3⋊Dic3C2311yescharacteristic
97C2×C3×C3⋊Dic3C2311yescharacteristic
98C2×C3×C3⋊Dic3C2311yescharacteristic
99C3×C4×C3⋊D3—41no—
100C2×C32×Dic3—22no—
101C2×C32×Dic3—41no—
102C2×C32×Dic3C2311yescharacteristic
103C2×C32×Dic3C2311yescharacteristic
104C2×C32×Dic3C2311yescharacteristic
105C2×C32×Dic3C2311yescharacteristic
106#6293—41no—
107#6292—41no—
108#5564—91no—
109#5515—94no—
110C22×C32×C4—24no—
111C22×C32×C4—31no—
112C22×C32×C4—31no—
113C22×C32×C4C2×D314yes—
114C22×C32×C4C2×D311yescharacteristic
115C2×#638—31no—
116C2×#638—34no—
117C2×#638—64no—
118C2×#638C2×D311yescharacteristic
119C2×C4⋊(C3⋊D3)—31no—
120C2×C4×C3⋊D3—31no—
121C2×C4×C3⋊D3—34no—
122C2×C4×C3⋊D3—64no—
123C2×C4×C3⋊D3C2×D311yescharacteristic
124C2×#634—31no—
125C2×C3×#67—34no—
126C22×C3×Dic3C2×D314yes—
127C22×C3×Dic3C2×D314yes—
128C2×C3×C4×D3—34no—
129C2×#627—34no—
130C2×#626—34no—
131C32×C4⋊C4—31no—
132C32×C4⋊C4—31no—
133C32×C4⋊C4—31no—
134C32×C4⋊C4—31no—
135#3757—31no—
136#3757—34no—
137#3757—64no—
138#3757C2×D311yescharacteristic
139#3752—31no—
140#3752—31no—
141#3752—31no—
142#3752—31no—
143#3752—34no—
144#3752—31no—
145#3752—31no—
146#3752—31no—
147#3752—64no—
148#3752C2×D311yescharacteristic
149C4⋊(C3⋊Dic3)—31no—
150C4⋊(C3⋊Dic3)—31no—
151#3750—31no—
152#3750—34no—
153#3750—31no—
154#3750—31no—
155#3750—31no—
156#3750—31no—
157#3750—31no—
158#3750—31no—
159#3750—64no—
160#3750C2×D311yescharacteristic
161C4×C3⋊Dic3—31no—
162C4×C3⋊Dic3—34no—
163C4×C3⋊Dic3—64no—
164C4×C3⋊Dic3C2×D311yescharacteristic
165C3×#217—34no—
166C3×(C2×D3)⋊C4—34no—
167C3×Dic3⋊C4—34no—
168C3×Dic3⋊C4C2×D314yes—
169C3×Dic3⋊C4C2×D314yes—
170C3×Dic3⋊C4C2×D314yes—
171C3×Dic3⋊C4C2×D314yes—
172C3×C4×Dic3—34no—
173#3724—34no—
174#3724—34no—
175#3724—34no—
176Dic3⋊Dic3—34no—
177Dic3⋊Dic3—34no—
178Dic3⋊Dic3—34no—
179Dic3⋊Dic3—34no—
180Dic3⋊Dic3—34no—
181#3722—34no—
182#3722—34no—
183#3722—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×C3×C3⋊D3—21no—
195C2×C3×C3⋊D3—21no—
196C2×C3×C3⋊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—
205C32×Dic3—21no—
206C32×Dic3—21no—
207C32×Dic3—21no—
208C32×Dic3—21no—
209C3×C4×D4—91no—
210C2×C3×C4⋊C4—34no—
211#939—91no—
212#935—91no—
213#930—94no—
214#929—94no—
215#929—94no—
216#929—91no—
217C4×#67—34no—
218C4×#67—94no—
219C4×#67—91no—
220C4×#67—184no—
221#924—94no—
222#924—91no—
223C2×Dic3⋊C4C3⋊D311yescharacteristic, complemented
224#898—94no—
225#898—94no—
226#896—94no—
227#896—94no—
228#896—91no—
229#894—94no—
230#894—94no—
231#889—94no—
232#889—94no—
233#889—91no—
234#886—91no—
235#883—91no—
236#879—91no—
237#878—91no—
238#876—91no—
239#870—91no—
240C23×C32—24no—
241C23×C32C22×D314yes—
242C23×C32C22×D311yescharacteristic
243C22×C3⋊D3—31no—
244C22×C3⋊D3—34no—
245C22×C3⋊D3—64no—
246C22×C3⋊D3C22×D311yescharacteristic
247C22×C3×D3—34no—
248C2×C32×C4—24no—
249C2×C32×C4—24no—
250C2×C32×C4—31no—
251C2×C32×C4—31no—
252C2×C32×C4—31no—
253C2×C32×C4—31no—
254C2×C32×C4—41no—
255C2×C32×C4—44no—
256C2×C32×C4—48no—
257C2×C32×C4—62no—
258C2×C32×C4—121no—
259C2×C32×C4C22×D314yes—
260C2×C32×C4C22×D314yes—
261C2×C32×C4C22×D311yescharacteristic
262C2×C32×C4C22×D311yescharacteristic
263#638—22no—
264#638—616no—
265#638—68no—
266#638—62no—
267C2×C3⋊Dic3—31no—
268C2×C3⋊Dic3—31no—
269C2×C3⋊Dic3—31no—
270C2×C3⋊Dic3—34no—
271C2×C3⋊Dic3—34no—
272C2×C3⋊Dic3—34no—
273C2×C3⋊Dic3—64no—
274C2×C3⋊Dic3—64no—
275C2×C3⋊Dic3—64no—
276C2×C3⋊Dic3C22×D311yescharacteristic
277C2×C3⋊Dic3C22×D311yescharacteristic
278C2×C3⋊Dic3C22×D311yescharacteristic
279C4⋊(C3⋊D3)—121no—
280C4×C3⋊D3—41no—
281C4×C3⋊D3—121no—
282C4×C3⋊D3—124no—
283C4×C3⋊D3—128no—
284#634—121no—
285C3×#67—68no—
286C2×C3×Dic3—28no—
287C2×C3×Dic3—34no—
288C2×C3×Dic3—34no—
289C2×C3×Dic3—34no—
290C2×C3×Dic3—44no—
291C2×C3×Dic3C22×D314yes—
292C2×C3×Dic3C22×D314yes—
293C2×C3×Dic3C22×D314yes—
294C2×C3×Dic3C22×D314yes—
295C3×C4×D3—124no—
296#627—124no—
297#626—124no—
298#539—271noSylow
299C2×C33—22no—
300C2×C33C2×#4111yescharacteristic
301C2×C33H(5,𝔽2)11yescharacteristic
302C2×C332−1+411yescharacteristic
303C3⋊(C3⋊D3)—41no—
304C3×C3⋊D3—41no—
305C2×C3×D4—91no—
306C22×C3×C4—24no—
307C22×C3×C4—34no—
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×#67—91no—
316C2×#67—184no—
317C22×Dic3C2×C3⋊D311yescharacteristic
318C22×Dic3C2×C3⋊D311yescharacteristic
319C2×D12—94no—
320C2×C4×D3—34no—
321C2×C4×D3—94no—
322C2×C4×D3—91no—
323C2×C4×D3—184no—
324C2×Dic6—94no—
325C2×Dic6—91no—
326C3×C4⋊C4—34no—
327C3×C4⋊C4—34no—
328C3×C4⋊C4—34no—
329C3×C4⋊C4—34no—
330C3×C4⋊C4—91no—
331C3×C22⋊C4—91no—
332C3×C22⋊C4—91no—
333C3×C42—91no—
334#217—34no—
335#217—94no—
336#217—91no—
337#217—91no—
338#217—91no—
339#217—91no—
340#217—184no—
341(C2×D3)⋊C4—34no—
342(C2×D3)⋊C4—94no—
343(C2×D3)⋊C4—94no—
344(C2×D3)⋊C4—94no—
345(C2×D3)⋊C4—94no—
346(C2×D3)⋊C4—94no—
347(C2×D3)⋊C4—94no—
348(C2×D3)⋊C4—94no—
349(C2×D3)⋊C4—91no—
350(C2×D3)⋊C4—91no—
351(C2×D3)⋊C4—91no—
352(C2×D3)⋊C4—91no—
353(C2×D3)⋊C4—184no—
354C4⋊Dic3—94no—
355C4⋊Dic3—94no—
356C4⋊Dic3—91no—
357C4⋊Dic3—91no—
358C4⋊Dic3—91no—
359Dic3⋊C4—34no—
360Dic3⋊C4—94no—
361Dic3⋊C4—94no—
362Dic3⋊C4—94no—
363Dic3⋊C4—94no—
364Dic3⋊C4—94no—
365Dic3⋊C4—94no—
366Dic3⋊C4—94no—
367Dic3⋊C4—91no—
368Dic3⋊C4—91no—
369Dic3⋊C4—91no—
370Dic3⋊C4—91no—
371Dic3⋊C4—91no—
372Dic3⋊C4—91no—
373Dic3⋊C4—184no—
374Dic3⋊C4C2×C3⋊D311yescharacteristic
375Dic3⋊C4C2×C3⋊D311yescharacteristic
376Dic3⋊C4C2×C3⋊D311yescharacteristic
377Dic3⋊C4C2×C3⋊D311yescharacteristic
378C4×Dic3—34no—
379C4×Dic3—94no—
380C4×Dic3—91no—
381C4×Dic3—184no—
382C22×C32—21no—
383C22×C32—21no—
384C22×C32—24no—
385C22×C32—28no—
386C22×C32—24no—
387C22×C32—24no—
388C22×C32—44no—
389C22×C32—44no—
390C22×C32#23518yes—
391C22×C32#23512yes—
392C22×C32C23×D314yes—
393C22×C32C23×D311yescharacteristic
394C2×C3⋊D3—21no—
395C2×C3⋊D3—21no—
396C2×C3⋊D3—21no—
397C2×C3⋊D3—68no—
398C2×C3⋊D3—64no—
399C2×C3⋊D3—61no—
400C2×C3⋊D3—61no—
401C2×C3⋊D3—61no—
402C2×C3⋊D3—64no—
403C2×C3⋊D3—64no—
404C2×C3⋊D3—124no—
405C2×C3⋊D3—124no—
406C2×C3×D3—64no—
407C2×C3×D3—64no—
408C2×C3×D3—64no—
409C32×C4—28no—
410C32×C4—21no—
411C32×C4—24no—
412C32×C4—21no—
413C32×C4—24no—
414C32×C4—44no—
415C32×C4—61no—
416C32×C4—61no—
417C32×C4—61no—
418C32×C4—61no—
419C3⋊Dic3—21no—
420C3⋊Dic3—21no—
421C3⋊Dic3—21no—
422C3⋊Dic3—68no—
423C3⋊Dic3—64no—
424C3⋊Dic3—61no—
425C3⋊Dic3—61no—
426C3⋊Dic3—61no—
427C3⋊Dic3—64no—
428C3⋊Dic3—64no—
429C3⋊Dic3—124no—
430C3⋊Dic3—124no—
431C3×Dic3—24no—
432C3×Dic3—24no—
433C3×Dic3—24no—
434C3×Dic3—24no—
435C3×Dic3—64no—
436C3×Dic3—64no—
437C3×Dic3—64no—
438#126—271no—
439#126—271no—
440#125—271no—
441#125—271no—
442#123—271no—
443#123—271no—
444#123—271no—
445#123—271no—
446C22⋊Q8—271no—
447C22⋊Q8—271no—
448C22⋊Q8—271no—
449#121—271no—
450C4×D4—91no—
451C4×D4—271no—
452C2×C4⋊C4—31no—
453C33#53911yescharacteristic, complemented, Sylow
454C23×C3—24no—
455C23×C3—91no—
456C23×C3C2×D3214yes—
457C23×C3C22×C3⋊D311yescharacteristic
458C22×D3—34no—
459C22×D3—94no—
460C22×D3—91no—
461C22×D3—184no—
462C3×D4—182no—
463C2×C3×C4—24no—
464C2×C3×C4—24no—
465C2×C3×C4—34no—
466C2×C3×C4—34no—
467C2×C3×C4—34no—
468C2×C3×C4—34no—
469C2×C3×C4—44no—
470C2×C3×C4—41no—
471C2×C3×C4—48no—
472C2×C3×C4—68no—
473C2×C3×C4—91no—
474C2×C3×C4—91no—
475C2×C3×C4—91no—
476C2×C3×C4—124no—
477C2×C3×C4—361no—
478C2×C3×C4C2×D3214yes—
479C2×C3×C4C2×D3214yes—
480C2×C3×C4C22×C3⋊D311yescharacteristic
481C2×C3×C4C22×C3⋊D311yescharacteristic
482#67—68no—
483#67—1816no—
484#67—188no—
485#67—182no—
486#67—361no—
487C2×Dic3—22no—
488C2×Dic3—34no—
489C2×Dic3—34no—
490C2×Dic3—34no—
491C2×Dic3—41no—
492C2×Dic3—94no—
493C2×Dic3—94no—
494C2×Dic3—94no—
495C2×Dic3—91no—
496C2×Dic3—91no—
497C2×Dic3—91no—
498C2×Dic3—184no—
499C2×Dic3—184no—
500C2×Dic3—184no—
501C2×Dic3C22×C3⋊D311yescharacteristic
502C2×Dic3C22×C3⋊D311yescharacteristic
503C2×Dic3C22×C3⋊D311yescharacteristic
504C2×Dic3C22×C3⋊D311yescharacteristic
505D12—364no—
506C4×D3—124no—
507C4×D3—364no—
508C4×D3—361no—
509C4×D3—368no—
510Dic6—361no—
511Dic6—364no—
512C2×C32—22no—
513C2×C32—24no—
514C2×C32—24no—
515C2×C32—24no—
516C2×C32—28no—
517C2×C32—48no—
518C2×C32C2×#23514yes—
519C2×C32C2×#23511yescharacteristic
520C2×C32#100414yes—
521C2×C32#100411yescharacteristic
522C2×C32#100714yes—
523C2×C32#101011yescharacteristic
524C3⋊D3—41no—
525C3⋊D3—128no—
526C3⋊D3—124no—
527C3⋊D3—121no—
528C3×D3—124no—
529C2×Q8—271no—
530C2×D4—91no—
531C2×D4—271no—
532C2×D4—271no—
533C22×C4—31no—
534C22×C4—31no—
535C22×C4—91no—
536C22×C4—271no—
537C22×C4D3×C3⋊D311yescharacteristic
538C4⋊C4—31no—
539C4⋊C4—31no—
540C4⋊C4—31no—
541C4⋊C4—31no—
542C4⋊C4—91no—
543C4⋊C4—271no—
544C4⋊C4—271no—
545C4⋊C4—271no—
546C4⋊C4—271no—
547C4⋊C4—271no—
548C4⋊C4—271no—
549C4⋊C4—271no—
550C4⋊C4—271no—
551C4⋊C4—271no—
552C22⋊C4—91no—
553C22⋊C4—91no—
554C22⋊C4—271no—
555C22⋊C4—271no—
556C22⋊C4—271no—
557C22⋊C4—271no—
558C22⋊C4—271no—
559C22⋊C4—271no—
560C22⋊C4—271no—
561C22⋊C4—271no—
562C42—91no—
563C42—271no—
564C22×C3—24no—
565C22×C3—24no—
566C22×C3—21no—
567C22×C3—21no—
568C22×C3—24no—
569C22×C3—28no—
570C22×C3—44no—
571C22×C3—44no—
572C22×C3—181no—
573C22×C3—181no—
574C22×C3—181no—
575C22×C3#379818yes—
576C22×C3#382812yes—
577C22×C3C22×D3214yes—
578C22×C3C23×C3⋊D311yescharacteristic
579C2×D3—64no—
580C2×D3—64no—
581C2×D3—64no—
582C2×D3—188no—
583C2×D3—184no—
584C2×D3—184no—
585C2×D3—184no—
586C2×D3—181no—
587C2×D3—181no—
588C2×D3—181no—
589C2×D3—364no—
590C2×D3—364no—
591C3×C4—28no—
592C3×C4—24no—
593C3×C4—24no—
594C3×C4—21no—
595C3×C4—21no—
596C3×C4—44no—
597C3×C4—64no—
598C3×C4—64no—
599C3×C4—64no—
600C3×C4—64no—
601C3×C4—181no—
602C3×C4—181no—
603C3×C4—181no—
604Dic3—21no—
605Dic3—21no—
606Dic3—21no—
607Dic3—21no—
608Dic3—64no—
609Dic3—64no—
610Dic3—64no—
611Dic3—188no—
612Dic3—184no—
613Dic3—184no—
614Dic3—184no—
615Dic3—181no—
616Dic3—181no—
617Dic3—181no—
618Dic3—364no—
619Dic3—364no—
620C32—24no—
621C32#551514yescomplemented
622C32#556411yescharacteristic, complemented
623C23—91no—
624C23—271no—
625C23C2×D3×C3⋊D311yescharacteristic
626Q8—1081no—
627D4—182no—
628D4—542no—
629D4—1081no—
630C2×C4—31no—
631C2×C4—31no—
632C2×C4—31no—
633C2×C4—31no—
634C2×C4—41no—
635C2×C4—62no—
636C2×C4—91no—
637C2×C4—91no—
638C2×C4—91no—
639C2×C4—121no—
640C2×C4—271no—
641C2×C4—271no—
642C2×C4—271no—
643C2×C4—361no—
644C2×C4—1081no—
645C2×C4C2×D3×C3⋊D311yescharacteristic
646C2×C4C2×D3×C3⋊D311yescharacteristic
647C2×C3—28no—
648C2×C3—22no—
649C2×C3—24no—
650C2×C3—24no—
651C2×C3—24no—
652C2×C3—48no—
653C2×C3—361no—
654C2×C3#6429714yes—
655C2×C3C2×#379814yes—
656C2×C3#6433014yes—
657C2×C3C2×#382811yescharacteristic
658C2×C3#6436111yescharacteristic
659C2×C3#6436411yescharacteristic
660D3—124no—
661D3—368no—
662D3—364no—
663D3—361no—
664C22—21no—
665C22—21no—
666C22—181no—
667C22—181no—
668C22—181no—
669C22—541no—
670C22—541no—
671C22—541no—
672C22#8902012yes—
673C22C22×D3×C3⋊D311yescharacteristic
674C4—21no—
675C4—21no—
676C4—61no—
677C4—61no—
678C4—61no—
679C4—61no—
680C4—181no—
681C4—181no—
682C4—181no—
683C4—541no—
684C4—541no—
685C4—541no—
686C3—24no—
687C3#1059484214yescomplemented
688C3#1059598611yescharacteristic, complemented
689C2—22no—
690C2—361no—
691C2—1081no—
692C2#1172456611yescharacteristic
693C2C2×#8902011yescharacteristic
694C2#1172461111yescharacteristic
subgroupG/H
center, FrattiniC22C22×D3×C3⋊D3
commutator, socle, cosocleC22×C33C24
FittingC22×C33×C4C22
prime radical#11723632C2
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. C4×#6312C2semidirect
2. C3×C4×#638C2semidirect
3. C2×C32×Dic3⋊C4C2semidirect
4. #11723640C2semidirect
6. #11723612C2semidirect
7. #11723605C2semidirect
8. #11723448C2semidirect
9. #11723446C2semidirect
10. #11723445C2semidirect
11. #11723442C2semidirect
12. #11723433C2semidirect
13. #11723421C2semidirect
14. #11723418C2semidirect
15. #11723417C2semidirect
60. C4×#638D3semidirect
71. C2×C3×Dic3⋊C4D3semidirect
223. C2×Dic3⋊C4C3⋊D3semidirect
453. C33#539semidirect
621. C32#5515semidirect
622. C32#5564semidirect
687. C3#10594842semidirect
688. C3#10595986semidirect

Maximal subgroups

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

subgroupindex
C4×#63122
C3×C4×#6382
C2×C32×Dic3⋊C42
#117236402
#117236322
#117236122
#117236052
#117234482
#117234462
#117234452
#117234422
#117234332
#117234212
#117234182
#117234172
#105959863
#105948423