Finite Group Databasebeta

← C3×D3×#544 #11901880

Subgroups — C3×D3×#544 #11901880

Order 1152.

2263 conjugacy classes of subgroups.

The subgroup lattice has 613 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C32×#544C211yesmaximal, characteristic, complemented
2C3×#5729C214yesmaximal, complemented
3C3×D3×C4⋊Q8C214yesmaximal, complemented
4C3×#5689C214yesmaximal, complemented
5C3×D3×#125C214yesmaximal, complemented
6C3×D3×C22⋊Q8C214yesmaximal
7C3×#5623C214yesmaximal, complemented
8C3×D3×#117C212yesmaximal
9C3×#5519C212yesmaximal, complemented
10C2×C3×D3×C4⋊C4C211yesmaximal, characteristic
11C3×#5500C211yesmaximal, characteristic, complemented
12C2×C3×#544—31nomaximal
13D3×#544C311yesmaximal, characteristic, direct product factor
14C2×C3×D3×Q8C2214yes—
15C22×C3×C4×D3C2212yes—
16C22×C3×C4×D3C2211yescharacteristic
17C32×C4⋊Q8C2214yescomplemented
18C32×#125C2214yescomplemented
19C32×C22⋊Q8C2214yes—
20C32×#117C2212yes—
21C2×C32×C4⋊C4C2211yescharacteristic
22C3×#946C2214yes—
23C3×#944C2218yescomplemented
24C3×#926C2212yes—
25C2×C3×C4⋊Dic3C2211yescharacteristic
26C3×#924C2214yes—
27C2×C3×Dic3⋊C4C2212yes—
28C3×#897C2214yes—
29C3×#896C2218yes—
30C3×#892C2212yes—
31C3×#892C2212yes—
32C3×D3×C4⋊C4C2214yes—
33C3×D3×C4⋊C4C2214yes—
34C3×D3×C4⋊C4C2212yes—
35C3×D3×C4⋊C4C2212yes—
36C3×D3×C4⋊C4C2214yes—
37C3×D3×C4⋊C4C2218yes—
38C3×#890C2214yescomplemented
39C3×#890C2214yescomplemented
40C3×#889C2218yescomplemented
41C3×#889C2218yescomplemented
42C3×#888C2214yescomplemented
43C3×#888C2214yescomplemented
44C3×#888C2218yescomplemented
45C3×D3×C22⋊C4C2214yes—
46C3×#878C2218yes—
47C3×#877C2214yes—
48C3×#872C2214yes—
49C3×C42×D3C2214yes—
50C3×#870C2214yescomplemented
51C3×#869C2214yescomplemented
52C3×#544—21no—
53C3×#544—34no—
54C3×#544—34no—
55C3×#544—34no—
56C3×#544—32no—
57C3×#544—31no—
58C3×#544D311yescharacteristic, direct product factor
59C3×#544C2×C311yescharacteristic, complemented
60C2×C3×C4⋊Q8—34no—
61C2×C3×#125—34no—
62C2×C3×C22⋊Q8—34no—
63C2×C3×#117—32no—
64C22×C3×C4⋊C4—31no—
65#5729C2×C314yescomplemented
66D3×C4⋊Q8C2×C314yescomplemented
67#5689C2×C314yescomplemented
68D3×#125C2×C314yescomplemented
69D3×C22⋊Q8C2×C314yes—
70#5623C2×C314yescomplemented
71D3×#117C2×C312yes—
72#5519C2×C312yescomplemented
73C2×D3×C4⋊C4C2×C311yescharacteristic
74#5500C2×C311yescharacteristic, complemented
75C23×C3×D3C2311yescharacteristic
76C2×C32×Q8C2314yes—
77C22×C32×C4C2312yes—
78C22×C32×C4C2311yescharacteristic
79C22×C3×Dic3C2312yes—
80C22×C3×Dic3C2311yescharacteristic
81C3×D3×Q8—48no—
82C2×C3×C4×D3—44no—
83C2×C3×C4×D3Q818yescomplemented
84C2×C3×C4×D3C2314yes—
85C2×C3×C4×D3C2314yes—
86C2×C3×C4×D3C2314yes—
87C2×C3×C4×D3C2314yes—
88C2×C3×C4×D3C2312yes—
89C2×C3×C4×D3C2312yes—
90C2×C3×Dic6C2318yes—
91C2×C3×Dic6C2314yes—
92C32×C4⋊C4C2312yes—
93C32×C4⋊C4C2318yes—
94C32×C4⋊C4C2314yes—
95C32×C4⋊C4C2314yes—
96C32×C4⋊C4C2312yes—
97C32×C22⋊C4C2314yes—
98C32×C42C2314yes—
99C3×#217C2314yes—
100C3×(C2×D3)⋊C4C2314yes—
101C3×(C2×D3)⋊C4C2314yes—
102C3×C4⋊Dic3C2318yes—
103C3×C4⋊Dic3C2312yes—
104C3×C4⋊Dic3C2314yes—
105C3×C4⋊Dic3C2314yes—
106C3×C4⋊Dic3C2312yes—
107C3×Dic3⋊C4C2314yes—
108C3×Dic3⋊C4C2314yes—
109C3×Dic3⋊C4C2318yes—
110C3×Dic3⋊C4C2318yes—
111C3×Dic3⋊C4C2318yes—
112C3×Dic3⋊C4C2318yes—
113C3×C4×Dic3C2314yes—
114C3×C4×Dic3C2314yes—
115C3×C4×Dic3C2314yes—
116C2×#544—31noSylow
117C22×C3×Q8—34no—
118C23×C3×C4—31no—
119C23×C3×C4—32no—
120C2×D3×Q8C22×C314yes—
121C22×C4×D3C22×C312yes—
122C22×C4×D3C22×C311yescharacteristic
123C3×C4⋊Q8—24no—
124C3×C4⋊Q8—38no—
125C3×C4⋊Q8—38no—
126C3×C4⋊Q8—34no—
127C3×C4⋊Q8—34no—
128C3×C4⋊Q8—34no—
129C3×C4⋊Q8C2×D314yescomplemented
130C3×C4⋊Q8C22×C314yescomplemented
131C3×#125—24no—
132C3×#125—38no—
133C3×#125—38no—
134C3×#125—34no—
135C3×#125—34no—
136C3×#125—34no—
137C3×#125C2×D314yescomplemented
138C3×#125C22×C314yescomplemented
139C3×C22⋊Q8—24no—
140C3×C22⋊Q8—34no—
141C3×C22⋊Q8—34no—
142C3×C22⋊Q8—38no—
143C3×C22⋊Q8—34no—
144C3×C22⋊Q8—38no—
145C3×C22⋊Q8C2×D314yes—
146C3×C22⋊Q8C22×C314yes—
147C3×#117—22no—
148C3×#117—32no—
149C3×#117—32no—
150C3×#117—32no—
151C3×#117—34no—
152C3×#117—34no—
153C3×#117C2×D312yes—
154C3×#117C22×C312yes—
155C2×C3×C4⋊C4—21no—
156C2×C3×C4⋊C4—32no—
157C2×C3×C4⋊C4—31no—
158C2×C3×C4⋊C4—34no—
159C2×C3×C4⋊C4—34no—
160C2×C3×C4⋊C4—32no—
161C2×C3×C4⋊C4—32no—
162C2×C3×C4⋊C4—34no—
163C2×C3×C4⋊C4—38no—
164C2×C3×C4⋊C4C2×D311yescharacteristic
165C2×C3×C4⋊C4C22×C311yescharacteristic
166C2×C3×C22⋊C4—34no—
167C2×C3×C42—34no—
168#946C22×C314yes—
169#944C22×C318yescomplemented
170#926C22×C312yes—
171C2×C4⋊Dic3C22×C311yescharacteristic
172#924C22×C314yes—
173C2×Dic3⋊C4C22×C312yes—
174#897C22×C314yes—
175#896C22×C318yes—
176#892C22×C312yes—
177#892C22×C312yes—
178D3×C4⋊C4C22×C312yes—
179D3×C4⋊C4C22×C314yes—
180D3×C4⋊C4C22×C314yes—
181D3×C4⋊C4C22×C318yes—
182D3×C4⋊C4C22×C314yes—
183D3×C4⋊C4C22×C312yes—
184#890C22×C314yescomplemented
185#890C22×C314yescomplemented
186#889C22×C318yescomplemented
187#889C22×C318yescomplemented
188#888C22×C314yescomplemented
189#888C22×C318yescomplemented
190#888C22×C314yescomplemented
191D3×C22⋊C4C22×C314yes—
192#878C22×C318yes—
193#877C22×C314yes—
194#872C22×C314yes—
195C42×D3C22×C314yes—
196#870C22×C314yescomplemented
197#869C22×C314yescomplemented
198C23×C32C2411yescharacteristic
199C22×C3×D3—22no—
200C22×C3×D3—22no—
201C22×C3×D3C2×Q814yes—
202C22×C3×D3C2411yescharacteristic
203C22×C3×D3C2411yescharacteristic
204C32×Q8—44no—
205C2×C32×C4—42no—
206C2×C32×C4C2×Q814yescomplemented
207C2×C32×C4C2414yes—
208C2×C32×C4C2414yes—
209C2×C32×C4C2414yes—
210C2×C32×C4C2412yes—
211C2×C3×Dic3—42no—
212C2×C3×Dic3C2×Q814yescomplemented
213C2×C3×Dic3C2414yes—
214C2×C3×Dic3C2414yes—
215C2×C3×Dic3C2414yes—
216C2×C3×Dic3C2412yes—
217C3×C4×D3—28no—
218C3×C4×D3—28no—
219C3×C4×D3—28no—
220C3×C4×D3—44no—
221C3×C4×D3C2×Q818yes—
222C3×C4×D3C2×Q818yescomplemented
223C3×Dic6—44no—
224C3×Dic6—48no—
225#544—34no—
226#544—34no—
227#544—34no—
228#544—32no—
229#544—31no—
230#544C3×D311yescharacteristic, direct product factor
231C2×C4⋊Q8—34no—
232C2×#125—34no—
233C2×C22⋊Q8—34no—
234C2×#117—32no—
235C22×C4⋊C4—31no—
236C24×C3—31no—
237C23×D3C23×C311yescharacteristic
238C2×C3×Q8—24no—
239C2×C3×Q8—34no—
240C2×C3×Q8—38no—
241C2×C3×Q8—128no—
242C2×C3×Q8C22×D314yes—
243C2×C3×Q8C23×C314yes—
244C22×C3×C4—21no—
245C22×C3×C4—22no—
246C22×C3×C4—31no—
247C22×C3×C4—38no—
248C22×C3×C4—32no—
249C22×C3×C4—32no—
250C22×C3×C4—32no—
251C22×C3×C4—34no—
252C22×C3×C4—34no—
253C22×C3×C4—34no—
254C22×C3×C4—34no—
255C22×C3×C4—124no—
256C22×C3×C4C22×D312yes—
257C22×C3×C4C22×D311yescharacteristic
258C22×C3×C4C23×C312yes—
259C22×C3×C4C23×C311yescharacteristic
260C22×Dic3C23×C312yes—
261C22×Dic3C23×C311yescharacteristic
262D3×Q8—48no—
263C2×C4×D3—44no—
264C2×C4×D3C3×Q818yescomplemented
265C2×C4×D3C23×C314yes—
266C2×C4×D3C23×C314yes—
267C2×C4×D3C23×C314yes—
268C2×C4×D3C23×C314yes—
269C2×C4×D3C23×C312yes—
270C2×C4×D3C23×C312yes—
271C2×Dic6C23×C318yes—
272C2×Dic6C23×C314yes—
273C3×C4⋊C4—24no—
274C3×C4⋊C4—22no—
275C3×C4⋊C4—22no—
276C3×C4⋊C4—24no—
277C3×C4⋊C4—28no—
278C3×C4⋊C4—38no—
279C3×C4⋊C4—34no—
280C3×C4⋊C4—34no—
281C3×C4⋊C4—38no—
282C3×C4⋊C4—38no—
283C3×C4⋊C4—38no—
284C3×C4⋊C4—34no—
285C3×C4⋊C4—32no—
286C3×C4⋊C4—32no—
287C3×C4⋊C4—34no—
288C3×C4⋊C4—38no—
289C3×C4⋊C4C22×D314yes—
290C3×C4⋊C4C22×D312yes—
291C3×C4⋊C4C22×D312yes—
292C3×C4⋊C4C22×D314yes—
293C3×C4⋊C4C22×D318yes—
294C3×C4⋊C4C23×C312yes—
295C3×C4⋊C4C23×C318yes—
296C3×C4⋊C4C23×C314yes—
297C3×C4⋊C4C23×C314yes—
298C3×C4⋊C4C23×C312yes—
299C3×C22⋊C4—24no—
300C3×C22⋊C4—34no—
301C3×C22⋊C4—34no—
302C3×C22⋊C4—34no—
303C3×C22⋊C4C22×D314yes—
304C3×C22⋊C4C23×C314yes—
305C3×C42—24no—
306C3×C42—34no—
307C3×C42—34no—
308C3×C42—34no—
309C3×C42C22×D314yes—
310C3×C42C23×C314yes—
311#217C23×C314yes—
312(C2×D3)⋊C4C23×C314yes—
313(C2×D3)⋊C4C23×C314yes—
314C4⋊Dic3C23×C312yes—
315C4⋊Dic3C23×C314yes—
316C4⋊Dic3C23×C318yes—
317C4⋊Dic3C23×C312yes—
318C4⋊Dic3C23×C314yes—
319Dic3⋊C4C23×C318yes—
320Dic3⋊C4C23×C318yes—
321Dic3⋊C4C23×C314yes—
322Dic3⋊C4C23×C314yes—
323Dic3⋊C4C23×C318yes—
324Dic3⋊C4C23×C318yes—
325C4×Dic3C23×C314yes—
326C4×Dic3C23×C314yes—
327C4×Dic3C23×C314yes—
328C22×C32—21no—
329C22×C32—21no—
330C22×C32C22×Q812yes—
331C22×C32C2511yescharacteristic
332C2×C3×D3—21no—
333C2×C3×D3—21no—
334C2×C3×D3—28no—
335C2×C3×D3C22×Q812yes—
336C2×C3×D3C22×Q812yes—
337C2×C3×D3H(5,𝔽2)12yes—
338C2×C3×D32−1+412yes—
339C32×C4—24no—
340C32×C4—24no—
341C32×C4—24no—
342C32×C4C22×Q814yes—
343C3×Dic3—24no—
344C3×Dic3—24no—
345C3×Dic3—24no—
346C3×Dic3C22×Q814yes—
347C22×Q8—34no—
348C23×C4—31no—
349C23×C4—32no—
350C4⋊Q8—38no—
351C4⋊Q8—38no—
352C4⋊Q8—34no—
353C4⋊Q8—34no—
354C4⋊Q8—34no—
355C4⋊Q8C2×C3×D314yescomplemented
356#125—38no—
357#125—38no—
358#125—34no—
359#125—34no—
360#125—34no—
361#125C2×C3×D314yescomplemented
362C22⋊Q8—34no—
363C22⋊Q8—34no—
364C22⋊Q8—38no—
365C22⋊Q8—34no—
366C22⋊Q8—38no—
367C22⋊Q8C2×C3×D314yes—
368#117—32no—
369#117—32no—
370#117—32no—
371#117—34no—
372#117—34no—
373#117C2×C3×D312yes—
374C2×C4⋊C4—32no—
375C2×C4⋊C4—31no—
376C2×C4⋊C4—34no—
377C2×C4⋊C4—34no—
378C2×C4⋊C4—32no—
379C2×C4⋊C4—32no—
380C2×C4⋊C4—34no—
381C2×C4⋊C4—38no—
382C2×C4⋊C4C2×C3×D311yescharacteristic
383C2×C22⋊C4—34no—
384C2×C42—34no—
385C23×C3—21no—
386C23×C3—31no—
387C23×C3—34no—
388C23×C3—31no—
389C23×C3—62no—
390C23×C3—62no—
391C23×C3C23×D311yescharacteristic
392C23×C3C24×C311yescharacteristic
393C22×D3—22no—
394C22×D3—22no—
395C22×D3C2×C3×Q814yes—
396C22×D3C24×C311yescharacteristic
397C22×D3C24×C311yescharacteristic
398C3×Q8—44no—
399C3×Q8—44no—
400C3×Q8—84no—
401C3×Q8—124no—
402C3×Q8—128no—
403C2×C3×C4—22no—
404C2×C3×C4—24no—
405C2×C3×C4—24no—
406C2×C3×C4—24no—
407C2×C3×C4—24no—
408C2×C3×C4—34no—
409C2×C3×C4—32no—
410C2×C3×C4—38no—
411C2×C3×C4—38no—
412C2×C3×C4—34no—
413C2×C3×C4—34no—
414C2×C3×C4—34no—
415C2×C3×C4—42no—
416C2×C3×C4—42no—
417C2×C3×C4—68no—
418C2×C3×C4—68no—
419C2×C3×C4—68no—
420C2×C3×C4—82no—
421C2×C3×C4—124no—
422C2×C3×C4—122no—
423C2×C3×C4D3×Q814yescomplemented
424C2×C3×C4C2×C3×Q814yescomplemented
425C2×C3×C4C23×D314yes—
426C2×C3×C4C23×D314yes—
427C2×C3×C4C23×D314yes—
428C2×C3×C4C23×D312yes—
429C2×C3×C4C24×C314yes—
430C2×C3×C4C24×C314yes—
431C2×C3×C4C24×C314yes—
432C2×C3×C4C24×C312yes—
433C2×Dic3—42no—
434C2×Dic3C2×C3×Q814yescomplemented
435C2×Dic3C24×C314yes—
436C2×Dic3C24×C314yes—
437C2×Dic3C24×C314yes—
438C2×Dic3C24×C312yes—
439C4×D3—28no—
440C4×D3—28no—
441C4×D3—28no—
442C4×D3—44no—
443C4×D3C2×C3×Q818yes—
444C4×D3C2×C3×Q818yescomplemented
445Dic6—44no—
446Dic6—48no—
447C2×C32—22no—
448C2×C32C23×Q811yescharacteristic
449C2×C32C2×H(5,𝔽2)11yescharacteristic
450C2×C32C2×2−1+411yescharacteristic
451C3×D3—22no—
452C3×D3#54414yesdirect product factor
453C24—31no—
454C2×Q8—34no—
455C2×Q8—38no—
456C2×Q8—128no—
457C2×Q8C22×C3×D314yes—
458C22×C4—31no—
459C22×C4—32no—
460C22×C4—32no—
461C22×C4—38no—
462C22×C4—32no—
463C22×C4—34no—
464C22×C4—34no—
465C22×C4—34no—
466C22×C4—34no—
467C22×C4—124no—
468C22×C4C22×C3×D312yes—
469C22×C4C22×C3×D311yescharacteristic
470C4⋊C4—38no—
471C4⋊C4—34no—
472C4⋊C4—34no—
473C4⋊C4—32no—
474C4⋊C4—34no—
475C4⋊C4—32no—
476C4⋊C4—38no—
477C4⋊C4—34no—
478C4⋊C4—38no—
479C4⋊C4—38no—
480C4⋊C4—38no—
481C4⋊C4C22×C3×D314yes—
482C4⋊C4C22×C3×D312yes—
483C4⋊C4C22×C3×D312yes—
484C4⋊C4C22×C3×D314yes—
485C4⋊C4C22×C3×D318yes—
486C22⋊C4—34no—
487C22⋊C4—34no—
488C22⋊C4—34no—
489C22⋊C4C22×C3×D314yes—
490C42—34no—
491C42—34no—
492C42—34no—
493C42C22×C3×D314yes—
494C22×C3—21no—
495C22×C3—21no—
496C22×C3—21no—
497C22×C3—21no—
498C22×C3—22no—
499C22×C3—21no—
500C22×C3—32no—
501C22×C3—32no—
502C22×C3—32no—
503C22×C3—32no—
504C22×C3—41no—
505C22×C3—41no—
506C22×C3—68no—
507C22×C3—61no—
508C22×C3—61no—
509C22×C3C2×D3×Q812yes—
510C22×C3C22×C3×Q812yes—
511C22×C3C24×D311yescharacteristic
512C22×C3C25×C311yescharacteristic
513C2×D3—21no—
514C2×D3—21no—
515C2×D3—28no—
516C2×D3C22×C3×Q812yes—
517C2×D3C22×C3×Q812yes—
518C2×D3C3×H(5,𝔽2)12yes—
519C2×D3C3×2−1+412yes—
520C3×C4—24no—
521C3×C4—24no—
522C3×C4—24no—
523C3×C4—24no—
524C3×C4—24no—
525C3×C4—24no—
526C3×C4—24no—
527C3×C4—34no—
528C3×C4—44no—
529C3×C4—44no—
530C3×C4—44no—
531C3×C4—64no—
532C3×C4—64no—
533C3×C4—64no—
534C3×C4C2×D3×Q814yes—
535C3×C4C22×C3×Q814yes—
536Dic3—24no—
537Dic3—24no—
538Dic3—24no—
539Dic3C22×C3×Q814yes—
540C32C2×#54411yescharacteristic, complemented, Sylow
541C23—31no—
542C23—34no—
543C23—31no—
544C23—62no—
545C23—62no—
546C23C23×C3×D311yescharacteristic
547Q8—44no—
548Q8—124no—
549Q8—128no—
550C2×C4—34no—
551C2×C4—32no—
552C2×C4—38no—
553C2×C4—38no—
554C2×C4—34no—
555C2×C4—34no—
556C2×C4—34no—
557C2×C4—42no—
558C2×C4—68no—
559C2×C4—68no—
560C2×C4—68no—
561C2×C4—124no—
562C2×C4—122no—
563C2×C4C3×D3×Q814yescomplemented
564C2×C4C23×C3×D314yes—
565C2×C4C23×C3×D314yes—
566C2×C4C23×C3×D314yes—
567C2×C4C23×C3×D312yes—
568C2×C3—22no—
569C2×C3—22no—
570C2×C3—21no—
571C2×C3—21no—
572C2×C3—21no—
573C2×C3—34no—
574C2×C3—42no—
575C2×C3—62no—
576C2×C3C22×D3×Q811yescharacteristic
577C2×C3D3×H(5,𝔽2)11yescharacteristic
578C2×C3D3×2−1+411yescharacteristic
579C2×C3C23×C3×Q811yescharacteristic
580C2×C3C2×C3×H(5,𝔽2)11yescharacteristic
581C2×C3C2×C3×2−1+411yescharacteristic
582D3—22no—
583D3C3×#54414yesdirect product factor
584C22—21no—
585C22—21no—
586C22—32no—
587C22—32no—
588C22—32no—
589C22—32no—
590C22—68no—
591C22—61no—
592C22—61no—
593C22C2×C3×D3×Q812yes—
594C22C24×C3×D311yescharacteristic
595C4—24no—
596C4—24no—
597C4—24no—
598C4—34no—
599C4—64no—
600C4—64no—
601C4—64no—
602C4C2×C3×D3×Q814yes—
603C3—21no—
604C3D3×#54411yescharacteristic, direct product factor
605C3C2×C3×#54411yescharacteristic, complemented
606C2—22no—
607C2—34no—
608C2—62no—
609C2C22×C3×D3×Q811yescharacteristic
610C2C3×D3×H(5,𝔽2)11yescharacteristic
611C2C3×D3×2−1+411yescharacteristic
subgroupG/H
centerC22×C3C24×D3
commutator, cosocleC22×C3C25×C3
FrattiniC22C24×C3×D3
FittingC32×#544C2
socleC22×C32C25
prime radicalC23×C3×D3C23
hypercenterC3×#544D3
hypocenterC3C2×C3×#544
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C22×C3 ◁ C3×#544

Complements

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

NH ≅ G/Ntype
1. C32×#544C2semidirect
2. C3×#5729C2semidirect
3. C3×D3×C4⋊Q8C2semidirect
4. C3×#5689C2semidirect
5. C3×D3×#125C2semidirect
7. C3×#5623C2semidirect
9. C3×#5519C2semidirect
11. C3×#5500C2semidirect
13. D3×#544C3direct (N × H)
17. C32×C4⋊Q8C22semidirect
18. C32×#125C22semidirect
23. C3×#944C22semidirect
38. C3×#890C22semidirect
39. C3×#890C22semidirect
40. C3×#889C22semidirect
41. C3×#889C22semidirect
42. C3×#888C22semidirect
43. C3×#888C22semidirect
44. C3×#888C22semidirect
50. C3×#870C22semidirect
51. C3×#869C22semidirect
58. C3×#544D3direct (N × H)
59. C3×#544C2×C3semidirect
65. #5729C2×C3semidirect
66. D3×C4⋊Q8C2×C3semidirect
67. #5689C2×C3semidirect
68. D3×#125C2×C3semidirect
70. #5623C2×C3semidirect
72. #5519C2×C3semidirect
74. #5500C2×C3semidirect
83. C2×C3×C4×D3Q8semidirect
129. C3×C4⋊Q8C2×D3semidirect
130. C3×C4⋊Q8C22×C3semidirect
137. C3×#125C2×D3semidirect
138. C3×#125C22×C3semidirect
169. #944C22×C3semidirect
184. #890C22×C3semidirect
185. #890C22×C3semidirect
186. #889C22×C3semidirect
187. #889C22×C3semidirect
188. #888C22×C3semidirect
189. #888C22×C3semidirect
190. #888C22×C3semidirect
196. #870C22×C3semidirect
197. #869C22×C3semidirect
206. C2×C32×C4C2×Q8semidirect
212. C2×C3×Dic3C2×Q8semidirect
222. C3×C4×D3C2×Q8semidirect
230. #544C3×D3direct (N × H)
264. C2×C4×D3C3×Q8semidirect
355. C4⋊Q8C2×C3×D3semidirect
361. #125C2×C3×D3semidirect
423. C2×C3×C4D3×Q8semidirect
424. C2×C3×C4C2×C3×Q8semidirect
434. C2×Dic3C2×C3×Q8semidirect
444. C4×D3C2×C3×Q8semidirect
452. C3×D3#544direct (N × H)
540. C32C2×#544semidirect
563. C2×C4C3×D3×Q8semidirect
583. D3C3×#544direct (N × H)
604. C3D3×#544direct (N × H)
605. C3C2×C3×#544semidirect

Maximal subgroups

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

subgroupindex
C32×#5442
C3×#57292
C3×D3×C4⋊Q82
C3×#56892
C3×D3×#1252
C3×D3×C22⋊Q82
C3×#56232
C3×D3×#1172
C3×#55192
C2×C3×D3×C4⋊C42
C3×#55002
C2×C3×#5443
D3×#5443