Finite Group Databasebeta

← C3×D3×#559 #11903800

Subgroups — C3×D3×#559 #11903800

Order 1152.

2598 conjugacy classes of subgroups.

The subgroup lattice has 608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C32×#559C211yesmaximal, characteristic, complemented
2C3×D3×#127C211yesmaximal, characteristic
3C3×#5713C211yesmaximal, characteristic, complemented
4C3×#5681C214yesmaximal, complemented
5C3×D3×#124C214yesmaximal, complemented
6C3×#5664C214yesmaximal, complemented
7C3×D3×#123C214yesmaximal, complemented
8C3×#5585C212yesmaximal, complemented
9C3×C4×D3×Q8C212yesmaximal, complemented
10C3×#5559C214yesmaximal, complemented
11C3×C4×D3×D4C214yesmaximal, complemented
12C2×C3×#559—31nomaximal
13D3×#559C311yesmaximal, characteristic, direct product factor
14C2×C3×D3×Q8C2212yes—
15C2×C3×D3×D4C2214yes—
16C2×C3×D3×D4C2212yes—
17C22×C3×C4×D3C2214yes—
18C32×#127C2211yescharacteristic
19C32×#124C2214yescomplemented
20C32×#123C2214yescomplemented
21C32×C4×Q8C2212yescomplemented
22C32×C4×D4C2214yescomplemented
23C3×#947C2214yescomplemented
24C3×Q8×Dic3C2212yescomplemented
25C3×#940C2214yes—
26C3×#940C2212yes—
27C3×#936C2214yescomplemented
28C3×#935C2214yescomplemented
29C3×D4×Dic3C2214yescomplemented
30C3×#929C2214yescomplemented
31C3×C4×#67C2218yescomplemented
32C3×#894C2218yescomplemented
33C3×#893C2214yescomplemented
34C3×D3×C4⋊C4C2212yes—
35C3×D3×C4⋊C4C2214yes—
36C3×#887C2212yescomplemented
37C3×#887C2214yescomplemented
38C3×#886C2214yescomplemented
39C3×#885C2218yescomplemented
40C3×#885C2218yescomplemented
41C3×#883C2218yescomplemented
42C3×#67⋊C4C2218yescomplemented
43C3×D3×C22⋊C4C2218yes—
44C3×D3×C22⋊C4C2214yes—
45C3×#875C2214yescomplemented
46C3×#874C2211yescharacteristic
47C3×C4×D12C2214yescomplemented
48C3×C42×D3C2214yes—
49C3×C42×D3C2211yescharacteristic
50C3×C4×Dic6C2214yescomplemented
51C3×C4×Dic6C2212yescomplemented
52C3×#559—21no—
53C3×#559—31no—
54C3×#559—34no—
55C3×#559—34no—
56C3×#559—32no—
57C3×#559—34no—
58C3×#559D311yescharacteristic, direct product factor
59C3×#559C2×C311yescharacteristic, complemented
60C2×C3×#127—31no—
61C2×C3×#124—34no—
62C2×C3×#123—34no—
63C2×C3×C4×Q8—32no—
64C2×C3×C4×D4—34no—
65D3×#127C2×C311yescharacteristic
66#5713C2×C311yescharacteristic, complemented
67#5681C2×C314yescomplemented
68D3×#124C2×C314yescomplemented
69#5664C2×C314yescomplemented
70D3×#123C2×C314yescomplemented
71#5585C2×C312yescomplemented
72C4×D3×Q8C2×C312yescomplemented
73#5559C2×C314yescomplemented
74C4×D3×D4C2×C314yescomplemented
75C23×C3×D3C2314yes—
76C2×C32×Q8C2312yes—
77C2×C32×D4C2314yes—
78C2×C32×D4C2312yes—
79C22×C32×C4C2314yes—
80C2×C3×#67C2318yes—
81C2×C3×#67C2314yes—
82C22×C3×Dic3C2314yes—
83C3×D3×Q8—28no—
84C3×D3×D4—216no—
85C3×D3×D4—44no—
86C2×C3×D12C2314yes—
87C2×C3×D12C2312yes—
88C2×C3×C4×D3—48no—
89C2×C3×C4×D3C2314yes—
90C2×C3×C4×D3C2314yes—
91C2×C3×C4×D3C2311yescharacteristic
92C2×C3×C4×D3C2318yes—
93C2×C3×C4×D3C2312yes—
94C2×C3×Dic6C2314yes—
95C2×C3×Dic6C2312yes—
96C32×C4⋊C4C2312yes—
97C32×C4⋊C4C2314yes—
98C32×C22⋊C4C2318yes—
99C32×C22⋊C4C2314yes—
100C32×C42C2314yes—
101C32×C42C2311yescharacteristic
102C3×#217C2318yes—
103C3×#217C2314yes—
104C3×(C2×D3)⋊C4C2318yes—
105C3×(C2×D3)⋊C4C2318yes—
106C3×(C2×D3)⋊C4C2318yes—
107C3×C4⋊Dic3C2314yes—
108C3×C4⋊Dic3C2312yes—
109C3×Dic3⋊C4C2314yes—
110C3×Dic3⋊C4C2314yes—
111C3×Dic3⋊C4C2314yes—
112C3×C4×Dic3C2314yes—
113C3×C4×Dic3C2314yes—
114C3×C4×Dic3C2311yescharacteristic
115C3×C4×Dic3C2312yes—
116C3×C4×Dic3C2314yes—
117C2×#559—31noSylow
118C22×C3×Q8—32no—
119C22×C3×D4—34no—
120C22×C3×D4—32no—
121C23×C3×C4—34no—
122C2×D3×Q8C22×C312yes—
123C2×D3×D4C22×C314yes—
124C2×D3×D4C22×C312yes—
125C22×C4×D3C22×C314yes—
126C3×#127—21no—
127C3×#127—32no—
128C3×#127—34no—
129C3×#127—31no—
130C3×#127C2×D311yescharacteristic
131C3×#127C22×C311yescharacteristic
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×#123—24no—
141C3×#123—34no—
142C3×#123—34no—
143C3×#123—38no—
144C3×#123—38no—
145C3×#123—34no—
146C3×#123C2×D314yescomplemented
147C3×#123C22×C314yescomplemented
148C3×C4×Q8—22no—
149C3×C4×Q8—32no—
150C3×C4×Q8—34no—
151C3×C4×Q8—32no—
152C3×C4×Q8—32no—
153C3×C4×Q8—34no—
154C3×C4×Q8C2×D312yescomplemented
155C3×C4×Q8C22×C312yescomplemented
156C3×C4×D4—24no—
157C3×C4×D4—34no—
158C3×C4×D4—38no—
159C3×C4×D4—34no—
160C3×C4×D4—38no—
161C3×C4×D4—34no—
162C3×C4×D4C2×D314yescomplemented
163C3×C4×D4C22×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
171Q8×Dic3C22×C312yescomplemented
172#940C22×C312yes—
173#940C22×C314yes—
174#936C22×C314yescomplemented
175#935C22×C314yescomplemented
176D4×Dic3C22×C314yescomplemented
177#929C22×C314yescomplemented
178C4×#67C22×C318yescomplemented
179#894C22×C318yescomplemented
180#893C22×C314yescomplemented
181D3×C4⋊C4C22×C314yes—
182D3×C4⋊C4C22×C312yes—
183#887C22×C314yescomplemented
184#887C22×C312yescomplemented
185#886C22×C314yescomplemented
186#885C22×C318yescomplemented
187#885C22×C318yescomplemented
188#883C22×C318yescomplemented
189#67⋊C4C22×C318yescomplemented
190D3×C22⋊C4C22×C314yes—
191D3×C22⋊C4C22×C318yes—
192#875C22×C314yescomplemented
193#874C22×C311yescharacteristic
194C4×D12C22×C314yescomplemented
195C42×D3C22×C314yes—
196C42×D3C22×C311yescharacteristic
197C4×Dic6C22×C314yescomplemented
198C4×Dic6C22×C312yescomplemented
199C23×C32C2414yes—
200C22×C3×D3—216no—
201C22×C3×D3—28no—
202C22×C3×D3C2414yes—
203C22×C3×D3C2411yescharacteristic
204C32×Q8—24no—
205C32×D4—28no—
206C32×D4—42no—
207C2×C32×C4—44no—
208C2×C32×C4C2411yescharacteristic
209C2×C32×C4C2414yes—
210C2×C32×C4C2414yes—
211C2×C32×C4C2412yes—
212C3×#67—216no—
213C3×#67—44no—
214C2×C3×Dic3—44no—
215C2×C3×Dic3C2411yescharacteristic
216C2×C3×Dic3C2414yes—
217C2×C3×Dic3C2414yes—
218C2×C3×Dic3C2412yes—
219C3×D12—28no—
220C3×D12—42no—
221C3×C4×D3—28no—
222C3×C4×D3—28no—
223C3×C4×D3—22no—
224C3×C4×D3—48no—
225C3×C4×D3#4118yes—
226C3×Dic6—24no—
227C3×Dic6—28no—
228#559—31no—
229#559—34no—
230#559—34no—
231#559—32no—
232#559—34no—
233#559C3×D311yescharacteristic, direct product factor
234C2×#127—31no—
235C2×#124—34no—
236C2×#123—34no—
237C2×C4×Q8—32no—
238C2×C4×D4—34no—
239C24×C3—34no—
240C23×D3C23×C314yes—
241C2×C3×Q8—22no—
242C2×C3×Q8—34no—
243C2×C3×Q8—32no—
244C2×C3×Q8—68no—
245C2×C3×Q8C22×D312yes—
246C2×C3×Q8C23×C312yes—
247C2×C3×D4—24no—
248C2×C3×D4—22no—
249C2×C3×D4—38no—
250C2×C3×D4—34no—
251C2×C3×D4—34no—
252C2×C3×D4—32no—
253C2×C3×D4—616no—
254C2×C3×D4—124no—
255C2×C3×D4C22×D314yes—
256C2×C3×D4C22×D312yes—
257C2×C3×D4C23×C314yes—
258C2×C3×D4C23×C312yes—
259C22×C3×C4—24no—
260C22×C3×C4—32no—
261C22×C3×C4—34no—
262C22×C3×C4—34no—
263C22×C3×C4—34no—
264C22×C3×C4—31no—
265C22×C3×C4—38no—
266C22×C3×C4—128no—
267C22×C3×C4C22×D314yes—
268C22×C3×C4C23×C314yes—
269C2×#67C23×C318yes—
270C2×#67C23×C314yes—
271C22×Dic3C23×C314yes—
272D3×Q8—28no—
273D3×D4—216no—
274D3×D4—44no—
275C2×D12C23×C314yes—
276C2×D12C23×C312yes—
277C2×C4×D3—48no—
278C2×C4×D3C23×C314yes—
279C2×C4×D3C23×C314yes—
280C2×C4×D3C23×C311yescharacteristic
281C2×C4×D3C23×C318yes—
282C2×C4×D3C23×C312yes—
283C2×Dic6C23×C312yes—
284C2×Dic6C23×C314yes—
285C3×C4⋊C4—22no—
286C3×C4⋊C4—24no—
287C3×C4⋊C4—34no—
288C3×C4⋊C4—34no—
289C3×C4⋊C4—34no—
290C3×C4⋊C4—32no—
291C3×C4⋊C4—34no—
292C3×C4⋊C4C22×D312yes—
293C3×C4⋊C4C22×D314yes—
294C3×C4⋊C4C23×C312yes—
295C3×C4⋊C4C23×C314yes—
296C3×C22⋊C4—28no—
297C3×C22⋊C4—24no—
298C3×C22⋊C4—38no—
299C3×C22⋊C4—34no—
300C3×C22⋊C4—38no—
301C3×C22⋊C4—38no—
302C3×C22⋊C4—38no—
303C3×C22⋊C4C22×D318yes—
304C3×C22⋊C4C22×D314yes—
305C3×C22⋊C4C23×C318yes—
306C3×C22⋊C4C23×C314yes—
307C3×C42—24no—
308C3×C42—21no—
309C3×C42—34no—
310C3×C42—34no—
311C3×C42—34no—
312C3×C42—31no—
313C3×C42—32no—
314C3×C42C22×D314yes—
315C3×C42C22×D311yescharacteristic
316C3×C42C23×C311yescharacteristic
317C3×C42C23×C314yes—
318#217C23×C318yes—
319#217C23×C314yes—
320(C2×D3)⋊C4C23×C318yes—
321(C2×D3)⋊C4C23×C318yes—
322(C2×D3)⋊C4C23×C318yes—
323C4⋊Dic3C23×C312yes—
324C4⋊Dic3C23×C314yes—
325Dic3⋊C4C23×C314yes—
326Dic3⋊C4C23×C314yes—
327Dic3⋊C4C23×C314yes—
328C4×Dic3C23×C312yes—
329C4×Dic3C23×C314yes—
330C4×Dic3C23×C314yes—
331C4×Dic3C23×C314yes—
332C4×Dic3C23×C311yescharacteristic
333C22×C32—28no—
334C22×C32—24no—
335C22×C32C2511yescharacteristic
336C2×C3×D3—28no—
337C2×C3×D3—24no—
338C2×C3×D3—416no—
339C2×C3×D3C2×#4114yes—
340C2×C3×D3H(5,𝔽2)12yes—
341C32×C4—24no—
342C32×C4—24no—
343C32×C4—21no—
344C32×C4C2×#4114yes—
345C3×Dic3—24no—
346C3×Dic3—24no—
347C3×Dic3—21no—
348C3×Dic3C2×#4114yes—
349C22×Q8—32no—
350C22×D4—34no—
351C22×D4—32no—
352C23×C4—34no—
353#127—32no—
354#127—34no—
355#127—31no—
356#127C2×C3×D311yescharacteristic
357#124—34no—
358#124—34no—
359#124—38no—
360#124—38no—
361#124—34no—
362#124C2×C3×D314yescomplemented
363#123—34no—
364#123—34no—
365#123—38no—
366#123—38no—
367#123—34no—
368#123C2×C3×D314yescomplemented
369C4×Q8—32no—
370C4×Q8—34no—
371C4×Q8—32no—
372C4×Q8—32no—
373C4×Q8—34no—
374C4×Q8C2×C3×D312yescomplemented
375C4×D4—34no—
376C4×D4—38no—
377C4×D4—34no—
378C4×D4—38no—
379C4×D4—34no—
380C4×D4C2×C3×D314yescomplemented
381C2×C4⋊C4—32no—
382C2×C4⋊C4—34no—
383C2×C22⋊C4—38no—
384C2×C22⋊C4—34no—
385C2×C42—34no—
386C2×C42—31no—
387C23×C3—24no—
388C23×C3—31no—
389C23×C3—34no—
390C23×C3—68no—
391C23×C3—616no—
392C23×C3C23×D314yes—
393C23×C3C24×C314yes—
394C22×D3—216no—
395C22×D3—28no—
396C22×D3C24×C314yes—
397C22×D3C24×C311yescharacteristic
398C3×Q8—24no—
399C3×Q8—24no—
400C3×Q8—44no—
401C3×Q8—68no—
402C3×Q8—64no—
403C3×D4—28no—
404C3×D4—28no—
405C3×D4—48no—
406C3×D4—42no—
407C3×D4—42no—
408C3×D4—616no—
409C3×D4—68no—
410C3×D4—82no—
411C3×D4—122no—
412C3×D4—124no—
413C2×C3×C4—22no—
414C2×C3×C4—24no—
415C2×C3×C4—24no—
416C2×C3×C4—21no—
417C2×C3×C4—32no—
418C2×C3×C4—38no—
419C2×C3×C4—34no—
420C2×C3×C4—34no—
421C2×C3×C4—31no—
422C2×C3×C4—44no—
423C2×C3×C4—44no—
424C2×C3×C4—68no—
425C2×C3×C4—62no—
426C2×C3×C4—68no—
427C2×C3×C4—84no—
428C2×C3×C4—128no—
429C2×C3×C4—124no—
430C2×C3×C4C23×D314yes—
431C2×C3×C4C23×D314yes—
432C2×C3×C4C23×D311yescharacteristic
433C2×C3×C4C23×D312yes—
434C2×C3×C4C24×C311yescharacteristic
435C2×C3×C4C24×C314yes—
436C2×C3×C4C24×C314yes—
437C2×C3×C4C24×C312yes—
438#67—216no—
439#67—44no—
440C2×Dic3—44no—
441C2×Dic3C24×C311yescharacteristic
442C2×Dic3C24×C314yes—
443C2×Dic3C24×C314yes—
444C2×Dic3C24×C312yes—
445D12—28no—
446D12—42no—
447C4×D3—28no—
448C4×D3—28no—
449C4×D3—22no—
450C4×D3—48no—
451C4×D3C3×#4118yes—
452Dic6—24no—
453Dic6—28no—
454C2×C32—44no—
455C2×C32C22×#4112yes—
456C2×C32C2×H(5,𝔽2)11yescharacteristic
457C3×D3—44no—
458C3×D3#55914yesdirect product factor
459C24—34no—
460C2×Q8—34no—
461C2×Q8—32no—
462C2×Q8—68no—
463C2×Q8C22×C3×D312yes—
464C2×D4—38no—
465C2×D4—34no—
466C2×D4—34no—
467C2×D4—32no—
468C2×D4—616no—
469C2×D4—124no—
470C2×D4C22×C3×D314yes—
471C2×D4C22×C3×D312yes—
472C22×C4—32no—
473C22×C4—34no—
474C22×C4—34no—
475C22×C4—34no—
476C22×C4—31no—
477C22×C4—38no—
478C22×C4—128no—
479C22×C4C22×C3×D314yes—
480C4⋊C4—34no—
481C4⋊C4—32no—
482C4⋊C4—34no—
483C4⋊C4—34no—
484C4⋊C4—34no—
485C4⋊C4C22×C3×D312yes—
486C4⋊C4C22×C3×D314yes—
487C22⋊C4—38no—
488C22⋊C4—34no—
489C22⋊C4—38no—
490C22⋊C4—38no—
491C22⋊C4—38no—
492C22⋊C4C22×C3×D318yes—
493C22⋊C4C22×C3×D314yes—
494C42—34no—
495C42—34no—
496C42—34no—
497C42—31no—
498C42—32no—
499C42C22×C3×D314yes—
500C42C22×C3×D311yescharacteristic
501C22×C3—28no—
502C22×C3—24no—
503C22×C3—28no—
504C22×C3—24no—
505C22×C3—21no—
506C22×C3—34no—
507C22×C3—32no—
508C22×C3—44no—
509C22×C3—48no—
510C22×C3—68no—
511C22×C3—64no—
512C22×C3—1216no—
513C22×C3C24×D311yescharacteristic
514C22×C3C25×C311yescharacteristic
515C2×D3—28no—
516C2×D3—24no—
517C2×D3—416no—
518C2×D3C2×C3×#4114yes—
519C2×D3C3×H(5,𝔽2)12yes—
520C3×C4—24no—
521C3×C4—24no—
522C3×C4—21no—
523C3×C4—24no—
524C3×C4—24no—
525C3×C4—21no—
526C3×C4—24no—
527C3×C4—34no—
528C3×C4—44no—
529C3×C4—41no—
530C3×C4—44no—
531C3×C4—64no—
532C3×C4—64no—
533C3×C4—61no—
534C3×C4D3×#4114yes—
535C3×C4C2×C3×#4114yes—
536Dic3—24no—
537Dic3—24no—
538Dic3—21no—
539Dic3C2×C3×#4114yes—
540C32C2×#55911yescharacteristic, complemented, Sylow
541C23—31no—
542C23—34no—
543C23—68no—
544C23—616no—
545C23C23×C3×D314yes—
546Q8—24no—
547Q8—68no—
548Q8—64no—
549D4—28no—
550D4—42no—
551D4—616no—
552D4—68no—
553D4—122no—
554D4—124no—
555C2×C4—32no—
556C2×C4—38no—
557C2×C4—34no—
558C2×C4—34no—
559C2×C4—31no—
560C2×C4—44no—
561C2×C4—68no—
562C2×C4—62no—
563C2×C4—68no—
564C2×C4—128no—
565C2×C4—124no—
566C2×C4C23×C3×D314yes—
567C2×C4C23×C3×D314yes—
568C2×C4C23×C3×D311yescharacteristic
569C2×C4C23×C3×D312yes—
570C2×C3—22no—
571C2×C3—21no—
572C2×C3—34no—
573C2×C3—44no—
574C2×C3—44no—
575C2×C3—84no—
576C2×C3—124no—
577C2×C3C2×D3×#4112yes—
578C2×C3D3×H(5,𝔽2)11yescharacteristic
579C2×C3C22×C3×#4112yes—
580C2×C3C2×C3×H(5,𝔽2)11yescharacteristic
581D3—44no—
582D3C3×#55914yesdirect product factor
583C22—28no—
584C22—24no—
585C22—34no—
586C22—32no—
587C22—68no—
588C22—64no—
589C22—1216no—
590C22C24×C3×D311yescharacteristic
591C4—24no—
592C4—24no—
593C4—21no—
594C4—34no—
595C4—64no—
596C4—64no—
597C4—61no—
598C4C3×D3×#4114yes—
599C3—21no—
600C3D3×#55911yescharacteristic, direct product factor
601C3C2×C3×#55911yescharacteristic, complemented
602C2—34no—
603C2—44no—
604C2—124no—
605C2C2×C3×D3×#4112yes—
606C2C3×D3×H(5,𝔽2)11yescharacteristic
subgroupG/H
centerC22×C3C24×D3
commutator, cosocleC22×C3C25×C3
FrattiniC22C24×C3×D3
FittingC32×#559C2
socleC22×C32C25
prime radicalC3×D3×#127C2
hypercenterC3×#559D3
hypocenterC3C2×C3×#559
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C22×C3 ◁ C3×#559

Complements

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

NH ≅ G/Ntype
1. C32×#559C2semidirect
3. C3×#5713C2semidirect
4. C3×#5681C2semidirect
5. C3×D3×#124C2semidirect
6. C3×#5664C2semidirect
7. C3×D3×#123C2semidirect
8. C3×#5585C2semidirect
9. C3×C4×D3×Q8C2semidirect
10. C3×#5559C2semidirect
11. C3×C4×D3×D4C2semidirect
13. D3×#559C3direct (N × H)
19. C32×#124C22semidirect
20. C32×#123C22semidirect
21. C32×C4×Q8C22semidirect
22. C32×C4×D4C22semidirect
23. C3×#947C22semidirect
24. C3×Q8×Dic3C22semidirect
27. C3×#936C22semidirect
28. C3×#935C22semidirect
29. C3×D4×Dic3C22semidirect
30. C3×#929C22semidirect
31. C3×C4×#67C22semidirect
32. C3×#894C22semidirect
33. C3×#893C22semidirect
36. C3×#887C22semidirect
37. C3×#887C22semidirect
38. C3×#886C22semidirect
39. C3×#885C22semidirect
40. C3×#885C22semidirect
41. C3×#883C22semidirect
42. C3×#67⋊C4C22semidirect
45. C3×#875C22semidirect
47. C3×C4×D12C22semidirect
50. C3×C4×Dic6C22semidirect
51. C3×C4×Dic6C22semidirect
58. C3×#559D3direct (N × H)
59. C3×#559C2×C3semidirect
66. #5713C2×C3semidirect
67. #5681C2×C3semidirect
68. D3×#124C2×C3semidirect
69. #5664C2×C3semidirect
70. D3×#123C2×C3semidirect
71. #5585C2×C3semidirect
72. C4×D3×Q8C2×C3semidirect
73. #5559C2×C3semidirect
74. C4×D3×D4C2×C3semidirect
138. C3×#124C2×D3semidirect
139. C3×#124C22×C3semidirect
146. C3×#123C2×D3semidirect
147. C3×#123C22×C3semidirect
154. C3×C4×Q8C2×D3semidirect
155. C3×C4×Q8C22×C3semidirect
162. C3×C4×D4C2×D3semidirect
163. C3×C4×D4C22×C3semidirect
170. #947C22×C3semidirect
171. Q8×Dic3C22×C3semidirect
174. #936C22×C3semidirect
175. #935C22×C3semidirect
176. D4×Dic3C22×C3semidirect
177. #929C22×C3semidirect
178. C4×#67C22×C3semidirect
179. #894C22×C3semidirect
180. #893C22×C3semidirect
183. #887C22×C3semidirect
184. #887C22×C3semidirect
185. #886C22×C3semidirect
186. #885C22×C3semidirect
187. #885C22×C3semidirect
188. #883C22×C3semidirect
189. #67⋊C4C22×C3semidirect
192. #875C22×C3semidirect
194. C4×D12C22×C3semidirect
197. C4×Dic6C22×C3semidirect
198. C4×Dic6C22×C3semidirect
233. #559C3×D3direct (N × H)
362. #124C2×C3×D3semidirect
368. #123C2×C3×D3semidirect
374. C4×Q8C2×C3×D3semidirect
380. C4×D4C2×C3×D3semidirect
458. C3×D3#559direct (N × H)
540. C32C2×#559semidirect
582. D3C3×#559direct (N × H)
600. C3D3×#559direct (N × H)
601. C3C2×C3×#559semidirect

Maximal subgroups

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

subgroupindex
C32×#5592
C3×D3×#1272
C3×#57132
C3×#56812
C3×D3×#1242
C3×#56642
C3×D3×#1232
C3×#55852
C3×C4×D3×Q82
C3×#55592
C3×C4×D3×D42
C2×C3×#5593
D3×#5593