Finite Group Databasebeta

← C3×#82488 #11803437

Subgroups — C3×#82488 #11803437

Order 1152.

1261 conjugacy classes of subgroups.

The subgroup lattice has 632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×C4×Q8C211yesmaximal, characteristic, complemented
2C2×C3×#946C211yesmaximal, characteristic
3C2×C3×#872C211yesmaximal, characteristic
4C3×#5229C211yesmaximal, characteristic, complemented
5C3×#4990C212yesmaximal
6C3×#4987C211yesmaximal, characteristic
7C3×#4976C212yesmaximal, complemented
8C3×#4972C211yesmaximal, characteristic, complemented
9C3×#4940C212yesmaximal
10C3×C4×C4⋊Dic3C211yesmaximal, characteristic, complemented
11C3×#4933C212yesmaximal, complemented
12C3×#2323—31nomaximal
13#82488C311yesmaximal, characteristic, direct product factor
14C22×C32×Q8C2211yescharacteristic
15C22×C3×C4×D3C2211yescharacteristic
16C32×C4×Q8—24no—
17C2×C32×C4⋊C4C2211yescharacteristic
18C2×C32×C4⋊C4C2212yes—
19C2×C32×C42C2212yes—
20C2×C32×C42C2211yescharacteristic
21C3×#946C418yescomplemented
22C2×C3×(C2×D3)⋊C4C2211yescharacteristic
23C2×C3×(C2×D3)⋊C4C2211yescharacteristic
24C2×C3×(C2×D3)⋊C4C2212yes—
25C2×C3×(C2×D3)⋊C4C2212yes—
26C2×C3×C4⋊Dic3C2211yescharacteristic
27C2×C3×C4⋊Dic3C2211yescharacteristic
28C2×C3×Dic3⋊C4C2211yescharacteristic
29C2×C3×Dic3⋊C4C2211yescharacteristic
30C2×C3×Dic3⋊C4C2212yes—
31C2×C3×Dic3⋊C4C2212yes—
32C2×C3×C4×Dic3C2211yescharacteristic
33C2×C3×C4×Dic3C2212yes—
34C3×#872—24no—
35C3×C3⋊#95C2212yes—
36C3×C3⋊#95C2212yes—
37C3×C3⋊#95C2212yes—
38C3×C3⋊#95C2212yes—
39C3×C3⋊#95C2212yes—
40C2×C3×C22⋊Q8—31no—
41C2×C3×C4×Q8—21no—
42C2×C3×C4×Q8D311yescharacteristic, complemented
43C2×C3×C4×Q8C2×C311yescharacteristic, complemented
44C2×C3×#117—31no—
45C2×#946C2×C311yescharacteristic
46C2×#872C2×C311yescharacteristic
47C3×#391—31no—
48C3×#389—31no—
49C3×#389—32no—
50C3×#388—32no—
51C3×#388—32no—
52C3×#387—32no—
53C3×#380—31no—
54C3×C4×C4⋊C4—31no—
55#5229C2×C311yescharacteristic, complemented
56#4990C2×C312yes—
57#4987C2×C311yescharacteristic
58#4976C2×C312yescomplemented
59#4972C2×C311yescharacteristic, complemented
60#4940C2×C312yes—
61C4×C4⋊Dic3C2×C311yescharacteristic, complemented
62#4933C2×C312yescomplemented
63C23×C3×D3C2311yescharacteristic
64C2×C32×Q8—22no—
65C2×C32×Q8—22no—
66C2×C32×Q8C2×C414yes—
67C22×C32×C4C2312yes—
68C22×C32×C4C2312yes—
69C22×C32×C4C2311yescharacteristic
70C22×C32×C4C2311yescharacteristic
71C22×C32×C4C2311yescharacteristic
72C22×C3×Dic3C2311yescharacteristic
73C22×C3×Dic3C2311yescharacteristic
74C22×C3×Dic3C2312yes—
75C22×C3×Dic3C2312yes—
76C22×C3×Dic3C2311yescharacteristic
77C2×C3×C4×D3—22no—
78C2×C3×C4×D3—22no—
79C2×C3×C4×D3C2×C414yes—
80C32×C4⋊C4—24no—
81C32×C4⋊C4—22no—
82C32×C42—24no—
83C32×C42D414yes—
84C3×(C2×D3)⋊C4—22no—
85C3×(C2×D3)⋊C4—22no—
86C3×(C2×D3)⋊C4—42no—
87C3×(C2×D3)⋊C4C2×C418yes—
88C3×C4⋊Dic3—22no—
89C3×C4⋊Dic3C2×C414yes—
90C3×Dic3⋊C4—22no—
91C3×Dic3⋊C4—22no—
92C3×Dic3⋊C4—42no—
93C3×Dic3⋊C4C2×C418yes—
94C3×C4×Dic3—22no—
95C3×C4×Dic3—42no—
96#2323—31noSylow
97C22×C3×Q8—21no—
98C22×C3×Q8C2×D311yescharacteristic
99C22×C3×Q8C22×C311yescharacteristic
100C23×C3×C4—31no—
101C22×C4×D3C22×C311yescharacteristic
102C3×C22⋊Q8—38no—
103C3×C4×Q8—28no—
104C3×C4×Q8—24no—
105C3×C4×Q8—24no—
106C3×#117—64no—
107C2×C3×C4⋊C4—21no—
108C2×C3×C4⋊C4—22no—
109C2×C3×C4⋊C4—32no—
110C2×C3×C4⋊C4—31no—
111C2×C3×C4⋊C4—31no—
112C2×C3×C4⋊C4—31no—
113C2×C3×C4⋊C4—31no—
114C2×C3×C4⋊C4—32no—
115C2×C3×C4⋊C4C2×D311yescharacteristic
116C2×C3×C4⋊C4C2×D312yes—
117C2×C3×C4⋊C4C22×C311yescharacteristic
118C2×C3×C4⋊C4C22×C312yes—
119C2×C3×C22⋊C4—32no—
120C2×C3×C22⋊C4—31no—
121C2×C3×C22⋊C4—31no—
122C2×C3×C22⋊C4—32no—
123C2×C3×C42—22no—
124C2×C3×C42—21no—
125C2×C3×C42—31no—
126C2×C3×C42—32no—
127C2×C3×C42C2×D312yes—
128C2×C3×C42C2×D311yescharacteristic
129C2×C3×C42C22×C312yes—
130C2×C3×C42C22×C311yescharacteristic
131#946C3×C418yescomplemented
132C2×(C2×D3)⋊C4C22×C311yescharacteristic
133C2×(C2×D3)⋊C4C22×C311yescharacteristic
134C2×(C2×D3)⋊C4C22×C312yes—
135C2×(C2×D3)⋊C4C22×C312yes—
136C2×C4⋊Dic3C22×C311yescharacteristic
137C2×C4⋊Dic3C22×C311yescharacteristic
138C2×Dic3⋊C4C22×C311yescharacteristic
139C2×Dic3⋊C4C22×C311yescharacteristic
140C2×Dic3⋊C4C22×C312yes—
141C2×Dic3⋊C4C22×C312yes—
142C2×C4×Dic3C22×C311yescharacteristic
143C2×C4×Dic3C22×C312yes—
144#872—24no—
145C3×#95—32no—
146C3×#95—32no—
147C3×#95—32no—
148C3×#95—32no—
149C3×#95—32no—
150C3⋊#95C22×C312yes—
151C3⋊#95C22×C312yes—
152C3⋊#95C22×C312yes—
153C3⋊#95C22×C312yes—
154C3⋊#95C22×C312yes—
155C23×C32C2411yescharacteristic
156C22×C3×D3—21no—
157C22×C3×D3—21no—
158C22×C3×D3—21no—
159C22×C3×D3—21no—
160C22×C3×D3—21no—
161C22×C3×D3—21no—
162C22×C3×D3C22×C412yes—
163C32×Q8—28no—
164C2×C32×C4—22no—
165C2×C32×C4—22no—
166C2×C32×C4—21no—
167C2×C32×C4—21no—
168C2×C32×C4—22no—
169C2×C32×C4—21no—
170C2×C32×C4—21no—
171C2×C32×C4—22no—
172C2×C32×C4—22no—
173C2×C32×C4C22×C414yes—
174C2×C32×C4C22×C412yes—
175C2×C32×C4C2×D412yes—
176C2×C32×C4C2×D412yes—
177C2×C32×C4C2×D412yes—
178C2×C32×C4#4112yes—
179C2×C3×Dic3—21no—
180C2×C3×Dic3—21no—
181C2×C3×Dic3—22no—
182C2×C3×Dic3—22no—
183C2×C3×Dic3—21no—
184C2×C3×Dic3—21no—
185C2×C3×Dic3—22no—
186C2×C3×Dic3—22no—
187C2×C3×Dic3—21no—
188C2×C3×Dic3—21no—
189C2×C3×Dic3—21no—
190C2×C3×Dic3—22no—
191C2×C3×Dic3—21no—
192C2×C3×Dic3C22×C412yes—
193C2×C3×Dic3C22×C414yes—
194C3×C4×D3—28no—
195C2×C22⋊Q8—31no—
196C2×C4×Q8C3×D311yescharacteristic, complemented
197C2×#117—31no—
198#391—31no—
199#389—31no—
200#389—32no—
201#388—32no—
202#388—32no—
203#387—32no—
204#380—31no—
205C4×C4⋊C4—31no—
206C24×C3—31no—
207C23×D3C23×C311yescharacteristic
208C2×C3×Q8—24no—
209C2×C3×Q8—24no—
210C2×C3×Q8—22no—
211C2×C3×Q8—22no—
212C2×C3×Q8—22no—
213C2×C3×Q8—22no—
214C2×C3×Q8—24no—
215C2×C3×Q8C4×D314yes—
216C2×C3×Q8C2×C3×C414yes—
217C22×C3×C4—21no—
218C22×C3×C4—22no—
219C22×C3×C4—21no—
220C22×C3×C4—22no—
221C22×C3×C4—21no—
222C22×C3×C4—32no—
223C22×C3×C4—31no—
224C22×C3×C4—34no—
225C22×C3×C4—32no—
226C22×C3×C4—31no—
227C22×C3×C4—31no—
228C22×C3×C4—62no—
229C22×C3×C4—62no—
230C22×C3×C4C22×D312yes—
231C22×C3×C4C22×D312yes—
232C22×C3×C4C22×D311yescharacteristic
233C22×C3×C4C22×D311yescharacteristic
234C22×C3×C4C22×D311yescharacteristic
235C22×C3×C4C23×C312yes—
236C22×C3×C4C23×C312yes—
237C22×C3×C4C23×C311yescharacteristic
238C22×C3×C4C23×C311yescharacteristic
239C22×C3×C4C23×C311yescharacteristic
240C22×Dic3C23×C311yescharacteristic
241C22×Dic3C23×C312yes—
242C22×Dic3C23×C311yescharacteristic
243C22×Dic3C23×C312yes—
244C22×Dic3C23×C311yescharacteristic
245C2×C4×D3—22no—
246C2×C4×D3—22no—
247C2×C4×D3C2×C3×C414yes—
248C3×C4⋊C4—28no—
249C3×C4⋊C4—24no—
250C3×C4⋊C4—24no—
251C3×C4⋊C4—22no—
252C3×C4⋊C4—24no—
253C3×C4⋊C4—22no—
254C3×C4⋊C4—38no—
255C3×C4⋊C4—34no—
256C3×C4⋊C4—62no—
257C3×C4⋊C4—62no—
258C3×C4⋊C4—62no—
259C3×C4⋊C4—122no—
260C3×C22⋊C4—38no—
261C3×C22⋊C4—62no—
262C3×C22⋊C4—62no—
263C3×C22⋊C4—122no—
264C3×C42—28no—
265C3×C42—24no—
266C3×C42—24no—
267C3×C42—24no—
268C3×C42—62no—
269C3×C42—122no—
270C3×C42#6714yes—
271C3×C42C3×D414yes—
272(C2×D3)⋊C4—22no—
273(C2×D3)⋊C4—22no—
274(C2×D3)⋊C4—42no—
275(C2×D3)⋊C4C2×C3×C418yes—
276C4⋊Dic3—22no—
277C4⋊Dic3C2×C3×C414yes—
278Dic3⋊C4—22no—
279Dic3⋊C4—22no—
280Dic3⋊C4—42no—
281Dic3⋊C4C2×C3×C418yes—
282C4×Dic3—22no—
283C4×Dic3—42no—
284C22×C32C23×C411yescharacteristic
285C22×C32C22×D411yescharacteristic
286C22×C32C2×#4111yescharacteristic
287C22×C32H(5,𝔽2)11yescharacteristic
288C22×C322−1+411yescharacteristic
289C22×C322−1+411yescharacteristic
290C22×C322−1+411yescharacteristic
291C2×C3×D3—22no—
292C2×C3×D3—22no—
293C2×C3×D3—22no—
294C2×C3×D3—41no—
295C2×C3×D3—41no—
296C2×C3×D3—41no—
297C2×C3×D3—41no—
298C32×C4—24no—
299C32×C4—22no—
300C32×C4—22no—
301C32×C4—42no—
302C32×C4C4×D414yes—
303C3×Dic3—22no—
304C3×Dic3—24no—
305C3×Dic3—41no—
306C3×Dic3—41no—
307C3×Dic3—42no—
308C22×Q8C2×C3×D311yescharacteristic
309C23×C4—31no—
310C22⋊Q8—38no—
311C4×Q8—24no—
312#117—64no—
313C2×C4⋊C4—31no—
314C2×C4⋊C4—32no—
315C2×C4⋊C4—31no—
316C2×C4⋊C4—31no—
317C2×C4⋊C4—31no—
318C2×C4⋊C4—32no—
319C2×C4⋊C4C2×C3×D311yescharacteristic
320C2×C4⋊C4C2×C3×D312yes—
321C2×C22⋊C4—32no—
322C2×C22⋊C4—31no—
323C2×C22⋊C4—31no—
324C2×C22⋊C4—32no—
325C2×C42—31no—
326C2×C42—32no—
327C2×C42C2×C3×D312yes—
328C2×C42C2×C3×D311yescharacteristic
329#95—32no—
330#95—32no—
331#95—32no—
332#95—32no—
333#95—32no—
334C23×C3—21no—
335C23×C3—32no—
336C23×C3—61no—
337C23×C3—61no—
338C23×C3—61no—
339C23×C3—61no—
340C23×C3—61no—
341C23×C3—61no—
342C23×C3C23×D311yescharacteristic
343C23×C3C24×C311yescharacteristic
344C22×D3—21no—
345C22×D3—21no—
346C22×D3—21no—
347C22×D3—21no—
348C22×D3—21no—
349C22×D3—21no—
350C22×D3C22×C3×C412yes—
351C3×Q8—216no—
352C3×Q8—28no—
353C3×Q8—28no—
354C2×C3×C4—24no—
355C2×C3×C4—22no—
356C2×C3×C4—22no—
357C2×C3×C4—24no—
358C2×C3×C4—22no—
359C2×C3×C4—21no—
360C2×C3×C4—21no—
361C2×C3×C4—21no—
362C2×C3×C4—21no—
363C2×C3×C4—22no—
364C2×C3×C4—22no—
365C2×C3×C4—22no—
366C2×C3×C4—21no—
367C2×C3×C4—21no—
368C2×C3×C4—21no—
369C2×C3×C4—21no—
370C2×C3×C4—24no—
371C2×C3×C4—22no—
372C2×C3×C4—22no—
373C2×C3×C4—22no—
374C2×C3×C4—22no—
375C2×C3×C4—22no—
376C2×C3×C4—22no—
377C2×C3×C4—24no—
378C2×C3×C4—22no—
379C2×C3×C4—22no—
380C2×C3×C4—22no—
381C2×C3×C4—22no—
382C2×C3×C4—22no—
383C2×C3×C4—34no—
384C2×C3×C4—32no—
385C2×C3×C4—41no—
386C2×C3×C4—41no—
387C2×C3×C4—42no—
388C2×C3×C4—42no—
389C2×C3×C4—61no—
390C2×C3×C4—62no—
391C2×C3×C4—62no—
392C2×C3×C4—61no—
393C2×C3×C4—68no—
394C2×C3×C4—62no—
395C2×C3×C4—61no—
396C2×C3×C4—61no—
397C2×C3×C4—62no—
398C2×C3×C4—62no—
399C2×C3×C4—61no—
400C2×C3×C4—61no—
401C2×C3×C4—61no—
402C2×C3×C4—61no—
403C2×C3×C4C2×C4×D314yes—
404C2×C3×C4C2×C4×D312yes—
405C2×C3×C4#23512yes—
406C2×C3×C4C2×#6712yes—
407C2×C3×C4C2×#6712yes—
408C2×C3×C4C2×#6712yes—
409C2×C3×C4C22×C3×C414yes—
410C2×C3×C4C22×C3×C412yes—
411C2×C3×C4C2×C3×D412yes—
412C2×C3×C4C2×C3×D412yes—
413C2×C3×C4C2×C3×D412yes—
414C2×C3×C4C3×#4112yes—
415C2×Dic3—21no—
416C2×Dic3—21no—
417C2×Dic3—22no—
418C2×Dic3—22no—
419C2×Dic3—21no—
420C2×Dic3—21no—
421C2×Dic3—22no—
422C2×Dic3—22no—
423C2×Dic3—21no—
424C2×Dic3—21no—
425C2×Dic3—21no—
426C2×Dic3—22no—
427C2×Dic3—21no—
428C2×Dic3C22×C3×C412yes—
429C2×Dic3C22×C3×C414yes—
430C4×D3—28no—
431C2×C32C2×C4×D411yescharacteristic
432C2×C32#51911yescharacteristic
433C2×C32#52011yescharacteristic
434C2×C32#53611yescharacteristic
435C2×C32#53711yescharacteristic
436C2×C32#54111yescharacteristic
437C2×C32#54211yescharacteristic
438C3×D3—42no—
439C24—31no—
440C2×Q8—22no—
441C2×Q8—22no—
442C2×Q8C3×C4×D314yes—
443C22×C4—32no—
444C22×C4—31no—
445C22×C4—34no—
446C22×C4—32no—
447C22×C4—31no—
448C22×C4—31no—
449C22×C4—62no—
450C22×C4—62no—
451C22×C4C22×C3×D312yes—
452C22×C4C22×C3×D312yes—
453C22×C4C22×C3×D311yescharacteristic
454C22×C4C22×C3×D311yescharacteristic
455C22×C4C22×C3×D311yescharacteristic
456C4⋊C4—24no—
457C4⋊C4—22no—
458C4⋊C4—38no—
459C4⋊C4—34no—
460C4⋊C4—62no—
461C4⋊C4—62no—
462C4⋊C4—62no—
463C4⋊C4—122no—
464C22⋊C4—38no—
465C22⋊C4—62no—
466C22⋊C4—62no—
467C22⋊C4—122no—
468C42—24no—
469C42—62no—
470C42—122no—
471C42C3×#6714yes—
472C22×C3—21no—
473C22×C3—21no—
474C22×C3—21no—
475C22×C3—21no—
476C22×C3—21no—
477C22×C3—21no—
478C22×C3—21no—
479C22×C3—62no—
480C22×C3—62no—
481C22×C3—62no—
482C22×C3—121no—
483C22×C3—121no—
484C22×C3—121no—
485C22×C3—121no—
486C22×C3C22×C4×D311yescharacteristic
487C22×C3C2×#23511yescharacteristic
488C22×C3#100711yescharacteristic
489C22×C3#100711yescharacteristic
490C22×C3#100911yescharacteristic
491C22×C3#101011yescharacteristic
492C22×C3C22×#6711yescharacteristic
493C22×C3C23×C3×C411yescharacteristic
494C22×C3C22×C3×D411yescharacteristic
495C22×C3C2×C3×#4111yescharacteristic
496C22×C3C3×H(5,𝔽2)11yescharacteristic
497C22×C3C3×2−1+411yescharacteristic
498C22×C3C3×2−1+411yescharacteristic
499C22×C3C3×2−1+411yescharacteristic
500C2×D3—22no—
501C2×D3—22no—
502C2×D3—22no—
503C2×D3—41no—
504C2×D3—41no—
505C2×D3—41no—
506C2×D3—41no—
507C3×C4—28no—
508C3×C4—24no—
509C3×C4—24no—
510C3×C4—22no—
511C3×C4—22no—
512C3×C4—24no—
513C3×C4—22no—
514C3×C4—22no—
515C3×C4—24no—
516C3×C4—42no—
517C3×C4—44no—
518C3×C4—42no—
519C3×C4—42no—
520C3×C4—62no—
521C3×C4—64no—
522C3×C4—121no—
523C3×C4—121no—
524C3×C4—122no—
525C3×C4C4×#6714yes—
526C3×C4C3×C4×D414yes—
527Dic3—22no—
528Dic3—24no—
529Dic3—41no—
530Dic3—41no—
531Dic3—42no—
532C32#232311yescharacteristic, complemented, Sylow
533C23—32no—
534C23—61no—
535C23—61no—
536C23—61no—
537C23—61no—
538C23—61no—
539C23—61no—
540C23C23×C3×D311yescharacteristic
541Q8—28no—
542C2×C4—22no—
543C2×C4—21no—
544C2×C4—21no—
545C2×C4—21no—
546C2×C4—21no—
547C2×C4—22no—
548C2×C4—22no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—34no—
552C2×C4—32no—
553C2×C4—61no—
554C2×C4—62no—
555C2×C4—62no—
556C2×C4—61no—
557C2×C4—68no—
558C2×C4—62no—
559C2×C4—61no—
560C2×C4—61no—
561C2×C4—62no—
562C2×C4—62no—
563C2×C4—61no—
564C2×C4—61no—
565C2×C4—61no—
566C2×C4—61no—
567C2×C4C2×C3×C4×D314yes—
568C2×C4C2×C3×C4×D312yes—
569C2×C4C3×#23512yes—
570C2×C4C2×C3×#6712yes—
571C2×C4C2×C3×#6712yes—
572C2×C4C2×C3×#6712yes—
573C2×C3—21no—
574C2×C3—21no—
575C2×C3—21no—
576C2×C3—21no—
577C2×C3—21no—
578C2×C3—21no—
579C2×C3—21no—
580C2×C3—122no—
581C2×C3#557211yescharacteristic
582C2×C3#557411yescharacteristic
583C2×C3#558211yescharacteristic
584C2×C3#558311yescharacteristic
585C2×C3C2×C4×#6711yescharacteristic
586C2×C3#581611yescharacteristic
587C2×C3#583311yescharacteristic
588C2×C3C2×C3×C4×D411yescharacteristic
589C2×C3C3×#51911yescharacteristic
590C2×C3C3×#52011yescharacteristic
591C2×C3C3×#53611yescharacteristic
592C2×C3C3×#53711yescharacteristic
593C2×C3C3×#54111yescharacteristic
594C2×C3C3×#54211yescharacteristic
595D3—42no—
596C22—62no—
597C22—62no—
598C22—62no—
599C22—121no—
600C22—121no—
601C22—121no—
602C22—121no—
603C22C22×C3×C4×D311yescharacteristic
604C22C2×C3×#23511yescharacteristic
605C22C3×#100711yescharacteristic
606C22C3×#100711yescharacteristic
607C22C3×#100911yescharacteristic
608C22C3×#101011yescharacteristic
609C22C22×C3×#6711yescharacteristic
610C4—24no—
611C4—22no—
612C4—22no—
613C4—42no—
614C4—62no—
615C4—64no—
616C4—121no—
617C4—121no—
618C4—122no—
619C4C3×C4×#6714yes—
620C3—21no—
621C3#8248811yescharacteristic, direct product factor
622C3C3×#232311yescharacteristic, complemented
623C2—122no—
624C2C3×#557211yescharacteristic
625C2C3×#557411yescharacteristic
626C2C3×#558211yescharacteristic
627C2C3×#558311yescharacteristic
628C2C2×C3×C4×#6711yescharacteristic
629C2C3×#581611yescharacteristic
630C2C3×#583311yescharacteristic
subgroupG/H
centerC23×C3C23×D3
commutatorC22×C3C23×C3×C4
FrattiniC23C23×C3×D3
FittingC2×C32×C4×Q8C2
socleC23×C32C24
prime radicalC23×C3×D3C23
cosocleC23×C3C24×C3
hypercenterC2×C3×C4×Q8D3
hypocenterC3C3×#2323
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23×C3 ◁ C2×C3×C4×Q8

Complements

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

NH ≅ G/Ntype
1. C2×C32×C4×Q8C2semidirect
4. C3×#5229C2semidirect
7. C3×#4976C2semidirect
8. C3×#4972C2semidirect
10. C3×C4×C4⋊Dic3C2semidirect
11. C3×#4933C2semidirect
13. #82488C3direct (N × H)
21. C3×#946C4semidirect
42. C2×C3×C4×Q8D3semidirect
43. C2×C3×C4×Q8C2×C3semidirect
55. #5229C2×C3semidirect
58. #4976C2×C3semidirect
59. #4972C2×C3semidirect
61. C4×C4⋊Dic3C2×C3semidirect
62. #4933C2×C3semidirect
131. #946C3×C4semidirect
196. C2×C4×Q8C3×D3semidirect
532. C32#2323semidirect
621. C3#82488direct (N × H)
622. C3C3×#2323semidirect

Maximal subgroups

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

subgroupindex
C2×C32×C4×Q82
C2×C3×#9462
C2×C3×#8722
C3×#52292
C3×#49902
C3×#49872
C3×#49762
C3×#49722
C3×#49402
C3×C4×C4⋊Dic32
C3×#49332
C3×#23233
#824883