Finite Group Databasebeta

← C3×D3×#555 #11903298

Subgroups — C3×D3×#555 #11903298

Order 1152.

2598 conjugacy classes of subgroups.

The subgroup lattice has 625 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C32×#555C211yesmaximal, characteristic, complemented
2C3×#5734C211yesmaximal, characteristic, complemented
3C3×D3×C4⋊Q8C211yesmaximal, characteristic, complemented
4C3×D3×#124C214yesmaximal, complemented
5C3×#5670C214yesmaximal, complemented
6C3×#5616C214yesmaximal, complemented
7C3×D3×#121C214yesmaximal, complemented
8C3×#5563C212yesmaximal, complemented
9C3×C4×D3×D4C212yesmaximal, complemented
10C3×#5532C214yesmaximal, complemented
11C3×D3×#117C214yesmaximal, complemented
12C2×C3×#555—31nomaximal
13D3×#555C311yesmaximal, characteristic, direct product factor
14C2×C3×D3×Q8C2212yes—
15C2×C3×D3×D4C2212yes—
16C2×C3×D3×D4C2214yes—
17C22×C3×C4×D3C2214yes—
18C32×C4⋊Q8C2211yescharacteristic, complemented
19C32×#124C2214yescomplemented
20C32×#121C2214yescomplemented
21C32×C4×D4C2212yescomplemented
22C32×#117C2214yescomplemented
23C3×#947C2214yescomplemented
24C3×#944C2212yescomplemented
25C3×#939C2218yescomplemented
26C3×#938C2214yescomplemented
27C3×#936C2214yescomplemented
28C3×D4×Dic3C2212yescomplemented
29C3×#930C2214yescomplemented
30C3×C4×#67C2214yescomplemented
31C3×#926C2214yescomplemented
32C3×#895C2214yescomplemented
33C3×#893C2212yescomplemented
34C3×#892C2214yescomplemented
35C3×#892C2214yescomplemented
36C3×D3×C4⋊C4C2212yes—
37C3×D3×C4⋊C4C2214yes—
38C3×#888C2214yescomplemented
39C3×#885C2218yescomplemented
40C3×#885C2218yescomplemented
41C3×#884C2218yescomplemented
42C3×#67⋊C4C2214yescomplemented
43C3×D3×C22⋊C4C2218yes—
44C3×D3×C22⋊C4C2214yes—
45C3×#877C2218yescomplemented
46C3×#875C2214yescomplemented
47C3×C4×D12C2212yescomplemented
48C3×#872C2218yescomplemented
49C3×C42×D3C2214yes—
50C3×C42×D3C2211yescharacteristic
51C3×#869C2211yescharacteristic, complemented
52C3×#555—21no—
53C3×#555—31no—
54C3×#555—34no—
55C3×#555—34no—
56C3×#555—32no—
57C3×#555—34no—
58C3×#555D311yescharacteristic, direct product factor
59C3×#555C2×C311yescharacteristic, complemented
60C2×C3×C4⋊Q8—31no—
61C2×C3×#124—34no—
62C2×C3×#121—34no—
63C2×C3×C4×D4—32no—
64C2×C3×#117—34no—
65#5734C2×C311yescharacteristic, complemented
66D3×C4⋊Q8C2×C311yescharacteristic, complemented
67D3×#124C2×C314yescomplemented
68#5670C2×C314yescomplemented
69#5616C2×C314yescomplemented
70D3×#121C2×C314yescomplemented
71#5563C2×C312yescomplemented
72C4×D3×D4C2×C312yescomplemented
73#5532C2×C314yescomplemented
74D3×#117C2×C314yescomplemented
75C23×C3×D3C2314yes—
76C2×C32×Q8C2312yes—
77C2×C32×D4C2312yes—
78C2×C32×D4C2314yes—
79C22×C32×C4C2314yes—
80C2×C3×#67C2314yes—
81C2×C3×#67C2318yes—
82C22×C3×Dic3C2314yes—
83C3×D3×Q8—44no—
84C3×D3×D4—28no—
85C3×D3×D4—48no—
86C2×C3×D12C2312yes—
87C2×C3×D12C2314yes—
88C2×C3×C4×D3—216no—
89C2×C3×C4×D3C2311yescharacteristic
90C2×C3×C4×D3C2314yes—
91C2×C3×C4×D3C2314yes—
92C2×C3×C4×D3C2314yes—
93C2×C3×C4×D3C2314yes—
94C2×C3×C4×D3C2312yes—
95C2×C3×Dic6C2312yes—
96C2×C3×Dic6C2314yes—
97C32×C4⋊C4C2314yes—
98C32×C4⋊C4C2312yes—
99C32×C22⋊C4C2318yes—
100C32×C22⋊C4C2314yes—
101C32×C42C2314yes—
102C32×C42C2311yescharacteristic
103C3×#217C2318yes—
104C3×#217C2314yes—
105C3×(C2×D3)⋊C4C2314yes—
106C3×(C2×D3)⋊C4C2318yes—
107C3×(C2×D3)⋊C4C2314yes—
108C3×(C2×D3)⋊C4C2318yes—
109C3×C4⋊Dic3C2314yes—
110C3×C4⋊Dic3C2312yes—
111C3×Dic3⋊C4C2314yes—
112C3×Dic3⋊C4C2318yes—
113C3×C4×Dic3C2314yes—
114C3×C4×Dic3C2318yes—
115C3×C4×Dic3C2311yescharacteristic
116C3×C4×Dic3C2312yes—
117C2×#555—31noSylow
118C22×C3×Q8—32no—
119C22×C3×D4—32no—
120C22×C3×D4—34no—
121C23×C3×C4—34no—
122C2×D3×Q8C22×C312yes—
123C2×D3×D4C22×C312yes—
124C2×D3×D4C22×C314yes—
125C22×C4×D3C22×C314yes—
126C3×C4⋊Q8—21no—
127C3×C4⋊Q8—32no—
128C3×C4⋊Q8—34no—
129C3×C4⋊Q8—31no—
130C3×C4⋊Q8C2×D311yescharacteristic, complemented
131C3×C4⋊Q8C22×C311yescharacteristic, complemented
132C3×#124—24no—
133C3×#124—34no—
134C3×#124—34no—
135C3×#124—38no—
136C3×#124—38no—
137C3×#124—34no—
138C3×#124C2×D314yescomplemented
139C3×#124C22×C314yescomplemented
140C3×#121—24no—
141C3×#121—34no—
142C3×#121—38no—
143C3×#121—34no—
144C3×#121—34no—
145C3×#121—38no—
146C3×#121C2×D314yescomplemented
147C3×#121C22×C314yescomplemented
148C3×C4×D4—22no—
149C3×C4×D4—32no—
150C3×C4×D4—34no—
151C3×C4×D4—32no—
152C3×C4×D4—34no—
153C3×C4×D4—32no—
154C3×C4×D4C2×D312yescomplemented
155C3×C4×D4C22×C312yescomplemented
156C3×#117—24no—
157C3×#117—34no—
158C3×#117—34no—
159C3×#117—34no—
160C3×#117—38no—
161C3×#117—38no—
162C3×#117C2×D314yescomplemented
163C3×#117C22×C314yescomplemented
164C2×C3×C4⋊C4—32no—
165C2×C3×C4⋊C4—34no—
166C2×C3×C22⋊C4—38no—
167C2×C3×C22⋊C4—34no—
168C2×C3×C42—34no—
169C2×C3×C42—31no—
170#947C22×C314yescomplemented
171#944C22×C312yescomplemented
172#939C22×C318yescomplemented
173#938C22×C314yescomplemented
174#936C22×C314yescomplemented
175D4×Dic3C22×C312yescomplemented
176#930C22×C314yescomplemented
177C4×#67C22×C314yescomplemented
178#926C22×C314yescomplemented
179#895C22×C314yescomplemented
180#893C22×C312yescomplemented
181#892C22×C314yescomplemented
182#892C22×C314yescomplemented
183D3×C4⋊C4C22×C314yes—
184D3×C4⋊C4C22×C312yes—
185#888C22×C314yescomplemented
186#885C22×C318yescomplemented
187#885C22×C318yescomplemented
188#884C22×C318yescomplemented
189#67⋊C4C22×C314yescomplemented
190D3×C22⋊C4C22×C314yes—
191D3×C22⋊C4C22×C318yes—
192#877C22×C318yescomplemented
193#875C22×C314yescomplemented
194C4×D12C22×C312yescomplemented
195#872C22×C318yescomplemented
196C42×D3C22×C314yes—
197C42×D3C22×C311yescharacteristic
198#869C22×C311yescharacteristic, complemented
199C23×C32C2414yes—
200C22×C3×D3—28no—
201C22×C3×D3—28no—
202C22×C3×D3—28no—
203C22×C3×D3C2414yes—
204C22×C3×D3C2411yescharacteristic
205C32×Q8—42no—
206C32×D4—24no—
207C32×D4—44no—
208C2×C32×C4—28no—
209C2×C32×C4C2414yes—
210C2×C32×C4C2414yes—
211C2×C32×C4C2411yescharacteristic
212C2×C32×C4C2412yes—
213C3×#67—28no—
214C3×#67—48no—
215C2×C3×Dic3—28no—
216C2×C3×Dic3C2414yes—
217C2×C3×Dic3C2414yes—
218C2×C3×Dic3C2411yescharacteristic
219C2×C3×Dic3C2412yes—
220C3×D12—24no—
221C3×D12—44no—
222C3×C4×D3—28no—
223C3×C4×D3—28no—
224C3×C4×D3—22no—
225C3×C4×D3—28no—
226C3×C4×D3—28no—
227C3×C4×D3#4118yes—
228C3×Dic6—44no—
229C3×Dic6—42no—
230#555—31no—
231#555—34no—
232#555—34no—
233#555—32no—
234#555—34no—
235#555C3×D311yescharacteristic, direct product factor
236C2×C4⋊Q8—31no—
237C2×#124—34no—
238C2×#121—34no—
239C2×C4×D4—32no—
240C2×#117—34no—
241C24×C3—34no—
242C23×D3C23×C314yes—
243C2×C3×Q8—22no—
244C2×C3×Q8—34no—
245C2×C3×Q8—32no—
246C2×C3×Q8—124no—
247C2×C3×Q8C22×D312yes—
248C2×C3×Q8C23×C312yes—
249C2×C3×D4—22no—
250C2×C3×D4—24no—
251C2×C3×D4—34no—
252C2×C3×D4—38no—
253C2×C3×D4—32no—
254C2×C3×D4—34no—
255C2×C3×D4—68no—
256C2×C3×D4—128no—
257C2×C3×D4C22×D312yes—
258C2×C3×D4C22×D314yes—
259C2×C3×D4C23×C312yes—
260C2×C3×D4C23×C314yes—
261C22×C3×C4—24no—
262C22×C3×C4—32no—
263C22×C3×C4—34no—
264C22×C3×C4—34no—
265C22×C3×C4—31no—
266C22×C3×C4—34no—
267C22×C3×C4—34no—
268C22×C3×C4—34no—
269C22×C3×C4—616no—
270C22×C3×C4C22×D314yes—
271C22×C3×C4C23×C314yes—
272C2×#67C23×C314yes—
273C2×#67C23×C318yes—
274C22×Dic3C23×C314yes—
275D3×Q8—44no—
276D3×D4—28no—
277D3×D4—48no—
278C2×D12C23×C312yes—
279C2×D12C23×C314yes—
280C2×C4×D3—216no—
281C2×C4×D3C23×C314yes—
282C2×C4×D3C23×C311yescharacteristic
283C2×C4×D3C23×C314yes—
284C2×C4×D3C23×C314yes—
285C2×C4×D3C23×C314yes—
286C2×C4×D3C23×C312yes—
287C2×Dic6C23×C312yes—
288C2×Dic6C23×C314yes—
289C3×C4⋊C4—22no—
290C3×C4⋊C4—24no—
291C3×C4⋊C4—34no—
292C3×C4⋊C4—38no—
293C3×C4⋊C4—32no—
294C3×C4⋊C4—34no—
295C3×C4⋊C4C22×D312yes—
296C3×C4⋊C4C22×D314yes—
297C3×C4⋊C4C23×C314yes—
298C3×C4⋊C4C23×C312yes—
299C3×C22⋊C4—28no—
300C3×C22⋊C4—24no—
301C3×C22⋊C4—38no—
302C3×C22⋊C4—34no—
303C3×C22⋊C4—38no—
304C3×C22⋊C4—38no—
305C3×C22⋊C4—34no—
306C3×C22⋊C4—34no—
307C3×C22⋊C4C22×D318yes—
308C3×C22⋊C4C22×D314yes—
309C3×C22⋊C4C23×C318yes—
310C3×C22⋊C4C23×C314yes—
311C3×C42—24no—
312C3×C42—21no—
313C3×C42—34no—
314C3×C42—38no—
315C3×C42—31no—
316C3×C42—32no—
317C3×C42C22×D314yes—
318C3×C42C22×D311yescharacteristic
319C3×C42C23×C311yescharacteristic
320C3×C42C23×C314yes—
321#217C23×C318yes—
322#217C23×C314yes—
323(C2×D3)⋊C4C23×C318yes—
324(C2×D3)⋊C4C23×C318yes—
325(C2×D3)⋊C4C23×C314yes—
326(C2×D3)⋊C4C23×C314yes—
327C4⋊Dic3C23×C314yes—
328C4⋊Dic3C23×C312yes—
329Dic3⋊C4C23×C314yes—
330Dic3⋊C4C23×C318yes—
331C4×Dic3C23×C318yes—
332C4×Dic3C23×C314yes—
333C4×Dic3C23×C311yescharacteristic
334C4×Dic3C23×C312yes—
335C22×C32—24no—
336C22×C32—24no—
337C22×C32—24no—
338C22×C32C2511yescharacteristic
339C2×C3×D3—24no—
340C2×C3×D3—24no—
341C2×C3×D3—24no—
342C2×C3×D3—416no—
343C2×C3×D3C2×#4114yes—
344C2×C3×D3H(5,𝔽2)12yes—
345C32×C4—24no—
346C32×C4—21no—
347C32×C4—24no—
348C32×C4C2×#4114yes—
349C3×Dic3—24no—
350C3×Dic3—21no—
351C3×Dic3—24no—
352C3×Dic3C2×#4114yes—
353C22×Q8—32no—
354C22×D4—32no—
355C22×D4—34no—
356C23×C4—34no—
357C4⋊Q8—32no—
358C4⋊Q8—34no—
359C4⋊Q8—31no—
360C4⋊Q8C2×C3×D311yescharacteristic, complemented
361#124—34no—
362#124—34no—
363#124—38no—
364#124—38no—
365#124—34no—
366#124C2×C3×D314yescomplemented
367#121—34no—
368#121—38no—
369#121—34no—
370#121—34no—
371#121—38no—
372#121C2×C3×D314yescomplemented
373C4×D4—32no—
374C4×D4—34no—
375C4×D4—32no—
376C4×D4—34no—
377C4×D4—32no—
378C4×D4C2×C3×D312yescomplemented
379#117—34no—
380#117—34no—
381#117—34no—
382#117—38no—
383#117—38no—
384#117C2×C3×D314yescomplemented
385C2×C4⋊C4—32no—
386C2×C4⋊C4—34no—
387C2×C22⋊C4—38no—
388C2×C22⋊C4—34no—
389C2×C42—34no—
390C2×C42—31no—
391C23×C3—24no—
392C23×C3—31no—
393C23×C3—34no—
394C23×C3—68no—
395C23×C3—68no—
396C23×C3—68no—
397C23×C3C23×D314yes—
398C23×C3C24×C314yes—
399C22×D3—28no—
400C22×D3—28no—
401C22×D3—28no—
402C22×D3C24×C314yes—
403C22×D3C24×C311yescharacteristic
404C3×Q8—42no—
405C3×Q8—42no—
406C3×Q8—82no—
407C3×Q8—124no—
408C3×Q8—122no—
409C3×D4—24no—
410C3×D4—24no—
411C3×D4—44no—
412C3×D4—44no—
413C3×D4—44no—
414C3×D4—68no—
415C3×D4—64no—
416C3×D4—84no—
417C3×D4—124no—
418C3×D4—128no—
419C2×C3×C4—28no—
420C2×C3×C4—28no—
421C2×C3×C4—22no—
422C2×C3×C4—24no—
423C2×C3×C4—21no—
424C2×C3×C4—24no—
425C2×C3×C4—32no—
426C2×C3×C4—38no—
427C2×C3×C4—34no—
428C2×C3×C4—31no—
429C2×C3×C4—34no—
430C2×C3×C4—48no—
431C2×C3×C4—68no—
432C2×C3×C4—68no—
433C2×C3×C4—68no—
434C2×C3×C4—62no—
435C2×C3×C4—68no—
436C2×C3×C4—68no—
437C2×C3×C4C23×D314yes—
438C2×C3×C4C23×D311yescharacteristic
439C2×C3×C4C23×D314yes—
440C2×C3×C4C23×D312yes—
441C2×C3×C4C24×C314yes—
442C2×C3×C4C24×C314yes—
443C2×C3×C4C24×C311yescharacteristic
444C2×C3×C4C24×C312yes—
445#67—28no—
446#67—48no—
447C2×Dic3—28no—
448C2×Dic3C24×C314yes—
449C2×Dic3C24×C314yes—
450C2×Dic3C24×C311yescharacteristic
451C2×Dic3C24×C312yes—
452D12—24no—
453D12—44no—
454C4×D3—28no—
455C4×D3—28no—
456C4×D3—22no—
457C4×D3—28no—
458C4×D3—28no—
459C4×D3C3×#4118yes—
460Dic6—44no—
461Dic6—42no—
462C2×C32—44no—
463C2×C32C22×#4112yes—
464C2×C32C2×H(5,𝔽2)11yescharacteristic
465C3×D3—44no—
466C3×D3#55514yesdirect product factor
467C24—34no—
468C2×Q8—34no—
469C2×Q8—32no—
470C2×Q8—124no—
471C2×Q8C22×C3×D312yes—
472C2×D4—34no—
473C2×D4—38no—
474C2×D4—32no—
475C2×D4—34no—
476C2×D4—68no—
477C2×D4—128no—
478C2×D4C22×C3×D312yes—
479C2×D4C22×C3×D314yes—
480C22×C4—32no—
481C22×C4—34no—
482C22×C4—34no—
483C22×C4—31no—
484C22×C4—34no—
485C22×C4—34no—
486C22×C4—34no—
487C22×C4—616no—
488C22×C4C22×C3×D314yes—
489C4⋊C4—34no—
490C4⋊C4—32no—
491C4⋊C4—38no—
492C4⋊C4—34no—
493C4⋊C4C22×C3×D312yes—
494C4⋊C4C22×C3×D314yes—
495C22⋊C4—38no—
496C22⋊C4—34no—
497C22⋊C4—38no—
498C22⋊C4—38no—
499C22⋊C4—34no—
500C22⋊C4—34no—
501C22⋊C4C22×C3×D318yes—
502C22⋊C4C22×C3×D314yes—
503C42—34no—
504C42—38no—
505C42—31no—
506C42—32no—
507C42C22×C3×D314yes—
508C42C22×C3×D311yescharacteristic
509C22×C3—24no—
510C22×C3—24no—
511C22×C3—24no—
512C22×C3—24no—
513C22×C3—24no—
514C22×C3—24no—
515C22×C3—21no—
516C22×C3—34no—
517C22×C3—32no—
518C22×C3—44no—
519C22×C3—44no—
520C22×C3—44no—
521C22×C3—64no—
522C22×C3—64no—
523C22×C3—64no—
524C22×C3—1216no—
525C22×C3C24×D311yescharacteristic
526C22×C3C25×C311yescharacteristic
527C2×D3—24no—
528C2×D3—24no—
529C2×D3—24no—
530C2×D3—416no—
531C2×D3C2×C3×#4114yes—
532C2×D3C3×H(5,𝔽2)12yes—
533C3×C4—24no—
534C3×C4—24no—
535C3×C4—21no—
536C3×C4—24no—
537C3×C4—21no—
538C3×C4—24no—
539C3×C4—24no—
540C3×C4—34no—
541C3×C4—44no—
542C3×C4—44no—
543C3×C4—41no—
544C3×C4—64no—
545C3×C4—64no—
546C3×C4—61no—
547C3×C4D3×#4114yes—
548C3×C4C2×C3×#4114yes—
549Dic3—24no—
550Dic3—21no—
551Dic3—24no—
552Dic3C2×C3×#4114yes—
553C32C2×#55511yescharacteristic, complemented, Sylow
554C23—31no—
555C23—34no—
556C23—68no—
557C23—68no—
558C23—68no—
559C23C23×C3×D314yes—
560Q8—42no—
561Q8—124no—
562Q8—122no—
563D4—24no—
564D4—44no—
565D4—68no—
566D4—64no—
567D4—124no—
568D4—128no—
569C2×C4—28no—
570C2×C4—32no—
571C2×C4—38no—
572C2×C4—34no—
573C2×C4—31no—
574C2×C4—34no—
575C2×C4—68no—
576C2×C4—68no—
577C2×C4—68no—
578C2×C4—62no—
579C2×C4—68no—
580C2×C4—68no—
581C2×C4C23×C3×D314yes—
582C2×C4C23×C3×D311yescharacteristic
583C2×C4C23×C3×D314yes—
584C2×C4C23×C3×D312yes—
585C2×C3—22no—
586C2×C3—21no—
587C2×C3—34no—
588C2×C3—44no—
589C2×C3—44no—
590C2×C3—84no—
591C2×C3—124no—
592C2×C3C2×D3×#4112yes—
593C2×C3D3×H(5,𝔽2)11yescharacteristic
594C2×C3C22×C3×#4112yes—
595C2×C3C2×C3×H(5,𝔽2)11yescharacteristic
596D3—44no—
597D3C3×#55514yesdirect product factor
598C22—24no—
599C22—24no—
600C22—24no—
601C22—34no—
602C22—32no—
603C22—64no—
604C22—64no—
605C22—64no—
606C22—1216no—
607C22C24×C3×D311yescharacteristic
608C4—24no—
609C4—24no—
610C4—21no—
611C4—34no—
612C4—64no—
613C4—64no—
614C4—61no—
615C4C3×D3×#4114yes—
616C3—21no—
617C3D3×#55511yescharacteristic, direct product factor
618C3C2×C3×#55511yescharacteristic, complemented
619C2—34no—
620C2—44no—
621C2—124no—
622C2C2×C3×D3×#4112yes—
623C2C3×D3×H(5,𝔽2)11yescharacteristic
subgroupG/H
centerC22×C3C24×D3
commutator, cosocleC22×C3C25×C3
FrattiniC22C24×C3×D3
FittingC32×#555C2
socleC22×C32C25
hypercenterC3×#555D3
hypocenterC3C2×C3×#555
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C22×C3 ◁ C3×#555

Complements

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

NH ≅ G/Ntype
1. C32×#555C2semidirect
2. C3×#5734C2semidirect
3. C3×D3×C4⋊Q8C2semidirect
4. C3×D3×#124C2semidirect
5. C3×#5670C2semidirect
6. C3×#5616C2semidirect
7. C3×D3×#121C2semidirect
8. C3×#5563C2semidirect
9. C3×C4×D3×D4C2semidirect
10. C3×#5532C2semidirect
11. C3×D3×#117C2semidirect
13. D3×#555C3direct (N × H)
18. C32×C4⋊Q8C22semidirect
19. C32×#124C22semidirect
20. C32×#121C22semidirect
21. C32×C4×D4C22semidirect
22. C32×#117C22semidirect
23. C3×#947C22semidirect
24. C3×#944C22semidirect
25. C3×#939C22semidirect
26. C3×#938C22semidirect
27. C3×#936C22semidirect
28. C3×D4×Dic3C22semidirect
29. C3×#930C22semidirect
30. C3×C4×#67C22semidirect
31. C3×#926C22semidirect
32. C3×#895C22semidirect
33. C3×#893C22semidirect
34. C3×#892C22semidirect
35. C3×#892C22semidirect
38. C3×#888C22semidirect
39. C3×#885C22semidirect
40. C3×#885C22semidirect
41. C3×#884C22semidirect
42. C3×#67⋊C4C22semidirect
45. C3×#877C22semidirect
46. C3×#875C22semidirect
47. C3×C4×D12C22semidirect
48. C3×#872C22semidirect
51. C3×#869C22semidirect
58. C3×#555D3direct (N × H)
59. C3×#555C2×C3semidirect
65. #5734C2×C3semidirect
66. D3×C4⋊Q8C2×C3semidirect
67. D3×#124C2×C3semidirect
68. #5670C2×C3semidirect
69. #5616C2×C3semidirect
70. D3×#121C2×C3semidirect
71. #5563C2×C3semidirect
72. C4×D3×D4C2×C3semidirect
73. #5532C2×C3semidirect
74. D3×#117C2×C3semidirect
130. C3×C4⋊Q8C2×D3semidirect
131. C3×C4⋊Q8C22×C3semidirect
138. C3×#124C2×D3semidirect
139. C3×#124C22×C3semidirect
146. C3×#121C2×D3semidirect
147. C3×#121C22×C3semidirect
154. C3×C4×D4C2×D3semidirect
155. C3×C4×D4C22×C3semidirect
162. C3×#117C2×D3semidirect
163. C3×#117C22×C3semidirect
170. #947C22×C3semidirect
171. #944C22×C3semidirect
172. #939C22×C3semidirect
173. #938C22×C3semidirect
174. #936C22×C3semidirect
175. D4×Dic3C22×C3semidirect
176. #930C22×C3semidirect
177. C4×#67C22×C3semidirect
178. #926C22×C3semidirect
179. #895C22×C3semidirect
180. #893C22×C3semidirect
181. #892C22×C3semidirect
182. #892C22×C3semidirect
185. #888C22×C3semidirect
186. #885C22×C3semidirect
187. #885C22×C3semidirect
188. #884C22×C3semidirect
189. #67⋊C4C22×C3semidirect
192. #877C22×C3semidirect
193. #875C22×C3semidirect
194. C4×D12C22×C3semidirect
195. #872C22×C3semidirect
198. #869C22×C3semidirect
235. #555C3×D3direct (N × H)
360. C4⋊Q8C2×C3×D3semidirect
366. #124C2×C3×D3semidirect
372. #121C2×C3×D3semidirect
378. C4×D4C2×C3×D3semidirect
384. #117C2×C3×D3semidirect
466. C3×D3#555direct (N × H)
553. C32C2×#555semidirect
597. D3C3×#555direct (N × H)
617. C3D3×#555direct (N × H)
618. C3C2×C3×#555semidirect

Maximal subgroups

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

subgroupindex
C32×#5552
C3×#57342
C3×D3×C4⋊Q82
C3×D3×#1242
C3×#56702
C3×#56162
C3×D3×#1212
C3×#55632
C3×C4×D3×D42
C3×#55322
C3×D3×#1172
C2×C3×#5553
D3×#5553