Finite Group Databasebeta

← #11817849

Subgroups — #11817849

Order 1152.

1992 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C22⋊C4×C3⋊D3C211yesmaximal, characteristic
2C2×#64088C211yesmaximal, characteristic, complemented
3C32×#397C211yesmaximal, characteristic, complemented
4#10592693C211yesmaximal, characteristic, complemented
5#10592688C211yesmaximal, characteristic, complemented
6#10592654C211yesmaximal, characteristic
7#10592654C211yesmaximal, characteristic
8#10592651C211yesmaximal, characteristic, complemented
9#10592643C211yesmaximal, characteristic, complemented
10#10592374C211yesmaximal, characteristic, complemented
11#10592368C211yesmaximal, characteristic, complemented
12#10592368C211yesmaximal, characteristic, complemented
13#10592367C211yesmaximal, characteristic, complemented
14#10592366C211yesmaximal, characteristic, complemented
15#10592365C211yesmaximal, characteristic, complemented
16#77480—34nomaximal
17C24×C3⋊D3C2211yescharacteristic
18C22×C4×C3⋊D3C2211yescharacteristic
19C22×C4×C3⋊D3C2211yescharacteristic
20C2×C32×C4⋊C4C2211yescharacteristic, complemented
21C2×C32×C22⋊C4C2211yescharacteristic
22C2×C32×C22⋊C4C2211yescharacteristic
23C2×C32×C22⋊C4C2211yescharacteristic
24C2×#3757C2211yescharacteristic
25C2×#3757C2211yescharacteristic
26C2×#3757C2211yescharacteristic
27C2×#3752C2211yescharacteristic
28C2×#3752C2211yescharacteristic
29C2×#3752C2211yescharacteristic
30C2×#3752C2211yescharacteristic
31C2×#3752C2211yescharacteristic
32C2×#3752C2211yescharacteristic
33C2×#3752C2211yescharacteristic
34C2×#3752C2211yescharacteristic
35C2×#3752C2211yescharacteristic
36C2×#3752C2211yescharacteristic
37C2×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
38C2×#3750C2211yescharacteristic, complemented
39C2×#3750C2211yescharacteristic, complemented
40C2×#3750C2211yescharacteristic, complemented
41C2×#3750C2211yescharacteristic, complemented
42C2×C4×C3⋊Dic3C2211yescharacteristic, complemented
43C2×C4×C3⋊Dic3C2211yescharacteristic, complemented
44C22⋊C4×C3⋊D3—24no—
45#64088—24no—
46C32×#95C2211yescharacteristic, complemented
47C32×#95C2211yescharacteristic, complemented
48C32×#95C2211yescharacteristic, complemented
49#63658C2211yescharacteristic, complemented
50#63658C2211yescharacteristic, complemented
51#63658C2211yescharacteristic, complemented
52#63658C2211yescharacteristic, complemented
53#63658C2211yescharacteristic, complemented
54C2×D3×C22⋊C4—34no—
55C2×#879—34no—
56C3×#397D314yescomplemented
57#4994—34no—
58#4989—34no—
59#4955—34no—
60#4955—34no—
61#4952—34no—
62#4944—34no—
63#4675—34no—
64#4669—34no—
65#4669—34no—
66#4668—34no—
67#4667—34no—
68#4666—34no—
69C24×C32C2311yescharacteristic
70C23×C3⋊D3—22no—
71C23×C3⋊D3—22no—
72C23×C3⋊D3—22no—
73C23×C3⋊D3—22no—
74C23×C3⋊D3—22no—
75C23×C3⋊D3—41no—
76C23×C3⋊D3—41no—
77C23×C3⋊D3C2311yescharacteristic
78C23×C3⋊D3C2311yescharacteristic
79C22×C32×C4C2311yescharacteristic
80C22×C32×C4C2311yescharacteristic
81C22×C32×C4C2311yescharacteristic
82C22×C32×C4C2311yescharacteristic
83C22×C32×C4C2311yescharacteristic
84C22×C32×C4C2311yescharacteristic
85C22×C3⋊Dic3C2311yescharacteristic
86C22×C3⋊Dic3C2311yescharacteristic
87C22×C3⋊Dic3C2311yescharacteristic
88C22×C3⋊Dic3C2311yescharacteristic
89C22×C3⋊Dic3C2311yescharacteristic
90C22×C3⋊Dic3C2311yescharacteristic
91C2×C4×C3⋊D3—22no—
92C2×C4×C3⋊D3—22no—
93C2×C4×C3⋊D3—22no—
94C2×C4×C3⋊D3—22no—
95C2×C4×C3⋊D3—41no—
96C2×C4×C3⋊D3—41no—
97C32×C4⋊C4—41no—
98C32×C22⋊C4—22no—
99C32×C22⋊C4—22no—
100C32×C22⋊C4—41no—
101#3757—22no—
102#3757—41no—
103#3757D414yes—
104#3752—22no—
105#3752—22no—
106#3752—22no—
107#3752—22no—
108#3752—22no—
109#3752—22no—
110#3752—22no—
111#3752—22no—
112#3752—41no—
113#3752—41no—
114C4⋊(C3⋊Dic3)—22no—
115#3750—22no—
116#3750—22no—
117#3750—41no—
118#3750—41no—
119C4×C3⋊Dic3—22no—
120C4×C3⋊Dic3—41no—
121#2480—91noSylow
122C24×D3—34no—
123C22×C4×D3—34no—
124C22×C4×D3—34no—
125C2×C3×C4⋊C4C2×D314yescomplemented
126C2×C3×C22⋊C4C2×D314yes—
127C2×C3×C22⋊C4C2×D314yes—
128C2×C3×C22⋊C4C2×D314yes—
129C2×#217—34no—
130C2×#217—34no—
131C2×#217—34no—
132C2×(C2×D3)⋊C4—34no—
133C2×(C2×D3)⋊C4—34no—
134C2×(C2×D3)⋊C4—34no—
135C2×(C2×D3)⋊C4—34no—
136C2×(C2×D3)⋊C4—34no—
137C2×(C2×D3)⋊C4—34no—
138C2×(C2×D3)⋊C4—34no—
139C2×(C2×D3)⋊C4—34no—
140C2×(C2×D3)⋊C4—34no—
141C2×(C2×D3)⋊C4—34no—
142C2×C4⋊Dic3—34no—
143C2×Dic3⋊C4—34no—
144C2×Dic3⋊C4—34no—
145C2×Dic3⋊C4—34no—
146C2×Dic3⋊C4—34no—
147C2×C4×Dic3—34no—
148C2×C4×Dic3—34no—
149D3×C22⋊C4—616no—
150#879—616no—
151C3×#95C2×D314yescomplemented
152C3×#95C2×D314yescomplemented
153C3×#95C2×D314yescomplemented
154C3⋊#95—34no—
155C3⋊#95—34no—
156C3⋊#95—34no—
157C3⋊#95—34no—
158C3⋊#95—34no—
159C23×C32—21no—
160C23×C32—21no—
161C23×C32—21no—
162C23×C32—21no—
163C23×C32—21no—
164C23×C32—21no—
165C23×C32C2×D412yes—
166C23×C32C2411yescharacteristic
167C22×C3⋊D3—21no—
168C22×C3⋊D3—21no—
169C22×C3⋊D3—21no—
170C22×C3⋊D3—21no—
171C22×C3⋊D3—28no—
172C22×C3⋊D3—21no—
173C22×C3⋊D3—21no—
174C22×C3⋊D3—21no—
175C22×C3⋊D3—21no—
176C22×C3⋊D3—21no—
177C22×C3⋊D3—21no—
178C22×C3⋊D3—44no—
179C22×C3⋊D3—44no—
180C22×C3⋊D3—44no—
181C22×C3⋊D3—44no—
182C22×C3⋊D3—44no—
183C22×C3⋊D3—44no—
184C22×C3⋊D3#4112yes—
185C22×C3⋊D3#4112yes—
186C22×C3⋊D3#4112yes—
187C22×C3⋊D3#4112yes—
188C2×C32×C4—21no—
189C2×C32×C4—21no—
190C2×C32×C4—21no—
191C2×C32×C4—21no—
192C2×C32×C4—21no—
193C2×C32×C4—21no—
194C2×C32×C4—21no—
195C2×C32×C4—21no—
196C2×C32×C4—21no—
197C2×C32×C4—21no—
198C2×C32×C4—21no—
199C2×C32×C4—21no—
200C2×C32×C4—21no—
201C2×C32×C4—21no—
202C2×C32×C4—21no—
203C2×C32×C4—21no—
204C2×C32×C4—21no—
205C2×C32×C4—21no—
206C2×C3⋊Dic3—21no—
207C2×C3⋊Dic3—21no—
208C2×C3⋊Dic3—21no—
209C2×C3⋊Dic3—21no—
210C2×C3⋊Dic3—21no—
211C2×C3⋊Dic3—21no—
212C2×C3⋊Dic3—21no—
213C2×C3⋊Dic3—21no—
214C2×C3⋊Dic3—21no—
215C2×C3⋊Dic3—21no—
216C2×C3⋊Dic3—21no—
217C2×C3⋊Dic3—21no—
218C2×C3⋊Dic3—21no—
219C2×C3⋊Dic3—21no—
220C2×C3⋊Dic3—21no—
221C2×C3⋊Dic3—21no—
222C2×C3⋊Dic3C2×D412yes—
223C2×C3⋊Dic3C2×D412yes—
224C4×C3⋊D3—44no—
225C4×C3⋊D3—44no—
226C2×#126—91no—
227C22×C22⋊C4—91no—
228#397—91no—
229#397—91no—
230#397C3⋊D311yescharacteristic, complemented
231#396—91no—
232#388—91no—
233#388—91no—
234#388—91no—
235#385—91no—
236#385—91no—
237#380—91no—
238#379—91no—
239#379—91no—
240C4×C22⋊C4—91no—
241C24×C3C22×D314yes—
242C23×D3—34no—
243C23×D3—34no—
244C23×D3—68no—
245C23×D3—68no—
246C23×D3—68no—
247C23×D3—68no—
248C23×D3—68no—
249C23×D3—124no—
250C23×D3—124no—
251C22×C3×C4C22×D314yes—
252C22×C3×C4C22×D314yes—
253C22×C3×C4C22×D314yes—
254C22×C3×C4C22×D314yes—
255C22×C3×C4C22×D314yes—
256C22×C3×C4C22×D314yes—
257C22×Dic3—34no—
258C22×Dic3—34no—
259C22×Dic3—34no—
260C22×Dic3—34no—
261C22×Dic3—34no—
262C22×Dic3—34no—
263C2×C4×D3—68no—
264C2×C4×D3—68no—
265C2×C4×D3—68no—
266C2×C4×D3—68no—
267C2×C4×D3—124no—
268C2×C4×D3—124no—
269C3×C4⋊C4—44no—
270C3×C22⋊C4—28no—
271C3×C22⋊C4—28no—
272C3×C22⋊C4—44no—
273#217—316no—
274#217—68no—
275#217—124no—
276(C2×D3)⋊C4—68no—
277(C2×D3)⋊C4—68no—
278(C2×D3)⋊C4—68no—
279(C2×D3)⋊C4—68no—
280(C2×D3)⋊C4—68no—
281(C2×D3)⋊C4—68no—
282(C2×D3)⋊C4—68no—
283(C2×D3)⋊C4—68no—
284(C2×D3)⋊C4—124no—
285(C2×D3)⋊C4—124no—
286C4⋊Dic3—68no—
287Dic3⋊C4—68no—
288Dic3⋊C4—68no—
289Dic3⋊C4—124no—
290Dic3⋊C4—124no—
291C4×Dic3—68no—
292C4×Dic3—124no—
293C22×C32—22no—
294C22×C32—22no—
295C22×C32—22no—
296C22×C32—41no—
297C22×C32—41no—
298C22×C32—41no—
299C22×C32—41no—
300C22×C32C22×D411yescharacteristic
301C22×C32C2×#4111yescharacteristic
302C22×C32C2×#4111yescharacteristic
303C22×C32C2×#4111yescharacteristic
304C22×C32C2×#4111yescharacteristic
305C22×C32H(5,𝔽2)11yescharacteristic
306C22×C32H(5,𝔽2)11yescharacteristic
307C2×C3⋊D3—22no—
308C2×C3⋊D3—22no—
309C2×C3⋊D3—22no—
310C2×C3⋊D3—22no—
311C2×C3⋊D3—22no—
312C2×C3⋊D3—22no—
313C2×C3⋊D3—22no—
314C2×C3⋊D3—22no—
315C2×C3⋊D3—22no—
316C2×C3⋊D3—416no—
317C2×C3⋊D3—41no—
318C2×C3⋊D3—41no—
319C2×C3⋊D3—41no—
320C2×C3⋊D3—41no—
321C2×C3⋊D3#12614yescomplemented
322C32×C4—41no—
323C32×C4—41no—
324C32×C4—41no—
325C32×C4—41no—
326C32×C4—41no—
327C32×C4—41no—
328C3⋊Dic3—22no—
329C3⋊Dic3—22no—
330C3⋊Dic3—41no—
331C3⋊Dic3—41no—
332C3⋊Dic3—41no—
333C3⋊Dic3—41no—
334C25—91no—
335C23×C4—91no—
336C23×C4—91no—
337#126—184no—
338C2×C4⋊C4—91no—
339C2×C4⋊C4—91no—
340C2×C4⋊C4—91no—
341C2×C4⋊C4—91no—
342C2×C4⋊C4—91no—
343C2×C4⋊C4C2×C3⋊D311yescharacteristic, complemented
344C2×C22⋊C4—91no—
345C2×C22⋊C4—91no—
346C2×C22⋊C4—91no—
347C2×C22⋊C4—91no—
348C2×C22⋊C4—91no—
349C2×C22⋊C4—91no—
350C2×C22⋊C4—91no—
351C2×C22⋊C4—91no—
352C2×C22⋊C4—91no—
353C2×C22⋊C4—91no—
354C2×C22⋊C4—91no—
355C2×C22⋊C4—91no—
356C2×C22⋊C4—91no—
357C2×C22⋊C4—184no—
358C2×C22⋊C4C2×C3⋊D311yescharacteristic
359C2×C22⋊C4C2×C3⋊D311yescharacteristic
360C2×C22⋊C4C2×C3⋊D311yescharacteristic
361C2×C42—91no—
362C2×C42—91no—
363#95—91no—
364#95—91no—
365#95—91no—
366#95—91no—
367#95—91no—
368#95C2×C3⋊D311yescharacteristic, complemented
369#95C2×C3⋊D311yescharacteristic, complemented
370#95C2×C3⋊D311yescharacteristic, complemented
371C23×C3—24no—
372C23×C3—24no—
373C23×C3—24no—
374C23×C3—24no—
375C23×C3—24no—
376C23×C3—24no—
377C23×C3D3×D418yes—
378C23×C3C23×D314yes—
379C22×D3—38no—
380C22×D3—38no—
381C22×D3—38no—
382C22×D3—38no—
383C22×D3—64no—
384C22×D3—64no—
385C22×D3—64no—
386C22×D3—64no—
387C22×D3—632no—
388C22×D3—64no—
389C22×D3—64no—
390C22×D3—64no—
391C22×D3—64no—
392C22×D3—64no—
393C22×D3—64no—
394C22×D3—1216no—
395C22×D3—1216no—
396C22×D3—1216no—
397C22×D3—1216no—
398C22×D3—1216no—
399C22×D3—1216no—
400C2×C3×C4—24no—
401C2×C3×C4—24no—
402C2×C3×C4—24no—
403C2×C3×C4—24no—
404C2×C3×C4—24no—
405C2×C3×C4—24no—
406C2×C3×C4—24no—
407C2×C3×C4—24no—
408C2×C3×C4—24no—
409C2×C3×C4—24no—
410C2×C3×C4—24no—
411C2×C3×C4—24no—
412C2×C3×C4—24no—
413C2×C3×C4—24no—
414C2×C3×C4—24no—
415C2×C3×C4—24no—
416C2×C3×C4—24no—
417C2×C3×C4—24no—
418C2×Dic3—38no—
419C2×Dic3—38no—
420C2×Dic3—64no—
421C2×Dic3—64no—
422C2×Dic3—64no—
423C2×Dic3—64no—
424C2×Dic3—64no—
425C2×Dic3—64no—
426C2×Dic3—64no—
427C2×Dic3—64no—
428C2×Dic3—64no—
429C2×Dic3—64no—
430C2×Dic3—64no—
431C2×Dic3—64no—
432C2×Dic3—64no—
433C2×Dic3—64no—
434C2×Dic3—64no—
435C2×Dic3—64no—
436C4×D3—1216no—
437C4×D3—1216no—
438C2×C32—42no—
439C2×C32#52511yescharacteristic
440C2×C32C2×#12611yescharacteristic
441C2×C32#53811yescharacteristic
442C2×C32#54611yescharacteristic
443C2×C32#54611yescharacteristic
444C2×C32#55111yescharacteristic
445C2×C32#55111yescharacteristic
446C3⋊D3—24no—
447C3⋊D3—42no—
448C24—91no—
449C24—91no—
450C24—182no—
451C24—182no—
452C24—182no—
453C24—182no—
454C24—182no—
455C24—361no—
456C24—361no—
457C24C22×C3⋊D311yescharacteristic
458C22×C4—91no—
459C22×C4—91no—
460C22×C4—91no—
461C22×C4—91no—
462C22×C4—91no—
463C22×C4—91no—
464C22×C4—182no—
465C22×C4—182no—
466C22×C4—182no—
467C22×C4—182no—
468C22×C4—361no—
469C22×C4—361no—
470C22×C4C22×C3⋊D311yescharacteristic
471C22×C4C22×C3⋊D311yescharacteristic
472C22×C4C22×C3⋊D311yescharacteristic
473C22×C4C22×C3⋊D311yescharacteristic
474C22×C4C22×C3⋊D311yescharacteristic
475C22×C4C22×C3⋊D311yescharacteristic
476C4⋊C4—41no—
477C4⋊C4—182no—
478C4⋊C4—182no—
479C4⋊C4—182no—
480C4⋊C4—361no—
481C4⋊C4—361no—
482C22⋊C4—22no—
483C22⋊C4—22no—
484C22⋊C4—41no—
485C22⋊C4—94no—
486C22⋊C4—182no—
487C22⋊C4—182no—
488C22⋊C4—182no—
489C22⋊C4—182no—
490C22⋊C4—182no—
491C22⋊C4—182no—
492C22⋊C4—182no—
493C22⋊C4—182no—
494C22⋊C4—182no—
495C22⋊C4—361no—
496C22⋊C4—361no—
497C22⋊C4—361no—
498C42—182no—
499C42—361no—
500C22×C3—28no—
501C22×C3—28no—
502C22×C3—28no—
503C22×C3—44no—
504C22×C3—44no—
505C22×C3—44no—
506C22×C3—44no—
507C22×C3C2×D3×D414yes—
508C22×C3#100414yes—
509C22×C3D3×#4114yes—
510C22×C3D3×#4114yes—
511C22×C3D3×#4114yes—
512C22×C3D3×#4114yes—
513C22×C3#100914yes—
514C2×D3—316no—
515C2×D3—68no—
516C2×D3—68no—
517C2×D3—68no—
518C2×D3—68no—
519C2×D3—68no—
520C2×D3—68no—
521C2×D3—68no—
522C2×D3—68no—
523C2×D3—68no—
524C2×D3—1264no—
525C2×D3—124no—
526C2×D3—124no—
527C2×D3—124no—
528C2×D3—124no—
529C3×C4—44no—
530C3×C4—44no—
531C3×C4—44no—
532C3×C4—44no—
533C3×C4—44no—
534C3×C4—44no—
535Dic3—68no—
536Dic3—68no—
537Dic3—124no—
538Dic3—124no—
539Dic3—124no—
540Dic3—124no—
541C32#248011yescharacteristic, complemented, Sylow
542C23—21no—
543C23—21no—
544C23—21no—
545C23—21no—
546C23—21no—
547C23—21no—
548C23—92no—
549C23—92no—
550C23—92no—
551C23—92no—
552C23—188no—
553C23—181no—
554C23—181no—
555C23—181no—
556C23—181no—
557C23—181no—
558C23—181no—
559C23—181no—
560C23—181no—
561C23—181no—
562C23—181no—
563C23—364no—
564C23—364no—
565C23—364no—
566C23—364no—
567C23—364no—
568C23—364no—
569C23D4×C3⋊D312yes—
570C23C23×C3⋊D311yescharacteristic
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—92no—
590C2×C4—92no—
591C2×C4—181no—
592C2×C4—181no—
593C2×C4—181no—
594C2×C4—181no—
595C2×C4—181no—
596C2×C4—181no—
597C2×C4—181no—
598C2×C4—181no—
599C2×C4—181no—
600C2×C4—181no—
601C2×C4—181no—
602C2×C4—181no—
603C2×C4—181no—
604C2×C4—181no—
605C2×C4—181no—
606C2×C4—181no—
607C2×C4—364no—
608C2×C4—364no—
609C2×C3—48no—
610C2×C3#561014yes—
611C2×C3#565414yes—
612C2×C3#565614yes—
613C2×C3#565714yes—
614C2×C3#567914yes—
615C2×C3D3×#12614yes—
616C2×C3#570514yes—
617D3—616no—
618D3—128no—
619C22—22no—
620C22—22no—
621C22—22no—
622C22—41no—
623C22—41no—
624C22—41no—
625C22—41no—
626C22—94no—
627C22—182no—
628C22—182no—
629C22—182no—
630C22—182no—
631C22—182no—
632C22—182no—
633C22—182no—
634C22—182no—
635C22—182no—
636C22—3616no—
637C22—361no—
638C22—361no—
639C22—361no—
640C22—361no—
641C22C2×D4×C3⋊D311yescharacteristic
642C22#6436111yescharacteristic
643C22#41×C3⋊D311yescharacteristic
644C22#41×C3⋊D311yescharacteristic
645C22#41×C3⋊D311yescharacteristic
646C22#41×C3⋊D311yescharacteristic
647C22#6436611yescharacteristic
648C4—41no—
649C4—41no—
650C4—41no—
651C4—41no—
652C4—41no—
653C4—41no—
654C4—182no—
655C4—182no—
656C4—361no—
657C4—361no—
658C4—361no—
659C4—361no—
660C3#7748014yescomplemented
661C2—42no—
662C2—184no—
663C2—362no—
664C2#1059608111yescharacteristic
665C2#1059612511yescharacteristic
666C2#1059612711yescharacteristic
667C2#1059612811yescharacteristic
668C2#1059615011yescharacteristic
669C2C3⋊D3×#12611yescharacteristic
670C2#1059617611yescharacteristic
subgroupG/H
center, FrattiniC23C23×C3⋊D3
commutator, socle, cosocleC23×C32C24
FittingC32×#397C2
prime radicalC24×C3⋊D3C22
hypercenter#397C3⋊D3
hypocenterC32#2480
LCSG ▷ C23×C32 ▷ C32
UCSC1 ◁ C23 ◁ #397

Complements

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

NH ≅ G/Ntype
2. C2×#64088C2semidirect
3. C32×#397C2semidirect
4. #10592693C2semidirect
5. #10592688C2semidirect
8. #10592651C2semidirect
9. #10592643C2semidirect
10. #10592374C2semidirect
11. #10592368C2semidirect
12. #10592368C2semidirect
13. #10592367C2semidirect
14. #10592366C2semidirect
15. #10592365C2semidirect
20. C2×C32×C4⋊C4C22semidirect
37. C2×C4⋊(C3⋊Dic3)C22semidirect
38. C2×#3750C22semidirect
39. C2×#3750C22semidirect
40. C2×#3750C22semidirect
41. C2×#3750C22semidirect
42. C2×C4×C3⋊Dic3C22semidirect
43. C2×C4×C3⋊Dic3C22semidirect
46. C32×#95C22semidirect
47. C32×#95C22semidirect
48. C32×#95C22semidirect
49. #63658C22semidirect
50. #63658C22semidirect
51. #63658C22semidirect
52. #63658C22semidirect
53. #63658C22semidirect
56. C3×#397D3semidirect
125. C2×C3×C4⋊C4C2×D3semidirect
151. C3×#95C2×D3semidirect
152. C3×#95C2×D3semidirect
153. C3×#95C2×D3semidirect
230. #397C3⋊D3semidirect
321. C2×C3⋊D3#126semidirect
343. C2×C4⋊C4C2×C3⋊D3semidirect
368. #95C2×C3⋊D3semidirect
369. #95C2×C3⋊D3semidirect
370. #95C2×C3⋊D3semidirect
541. C32#2480semidirect
660. C3#77480semidirect

Maximal subgroups

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

subgroupindex
C2×C22⋊C4×C3⋊D32
C2×#640882
C32×#3972
#105926932
#105926882
#105926542
#105926512
#105926432
#105923742
#105923682
#105923672
#105923662
#105923652
#774803