Finite Group Databasebeta

← C3×#86599 #11906175

Subgroups — C3×#86599 #11906175

Order 1152.

2303 conjugacy classes of subgroups.

The subgroup lattice has 601 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C32×#544C211yesmaximal, characteristic, complemented
2C3×#5730C214yesmaximal, complemented
3C3×#5727C214yesmaximal, complemented
4C3×#5690C214yesmaximal, complemented
5C3×#5690C214yesmaximal, complemented
6C3×#5634C214yesmaximal, complemented
7C3×D3×C22⋊Q8C214yesmaximal, complemented
8C3×#5521C212yesmaximal
9C3×#5517C212yesmaximal, complemented
10C2×C3×#893C211yesmaximal, characteristic
11C3×#5500C211yesmaximal, characteristic, complemented
12C3×#3501—31nomaximal
13#86599C311yesmaximal, characteristic, direct product factor
14C2×C3×D3×Q8C2214yescomplemented
15C22×C3×D12C2211yescharacteristic
16C22×C3×C4×D3C2212yes—
17C32×C4⋊Q8C2214yescomplemented
18C32×#125C2214yescomplemented
19C32×C22⋊Q8C2214yes—
20C32×#117C2212yes—
21C2×C32×C4⋊C4C2211yescharacteristic
22C3×#946C2214yescomplemented
23C3×#946C2218yescomplemented
24C2×C3×(C2×D3)⋊C4C2212yes—
25C3×#926C2212yes—
26C3×#924C2214yes—
27C2×C3×C4×Dic3C2211yescharacteristic
28C3×#897C2214yescomplemented
29C3×#897C2218yescomplemented
30C3×#896C2218yescomplemented
31C3×#896C2218yescomplemented
32C3×#896C2218yescomplemented
33C3×#893C2214yes—
34C3×#893C2214yes—
35C3×#893C2214yes—
36C3×#893C2214yes—
37C3×D3×C4⋊C4C2214yescomplemented
38C3×D3×C4⋊C4C2218yescomplemented
39C3×#890C2214yescomplemented
40C3×#890C2212yescomplemented
41C3×#890C2212yescomplemented
42C3×#888C2214yescomplemented
43C3×#888C2212yescomplemented
44C3×#888C2212yescomplemented
45C3×D3×C22⋊C4C2218yes—
46C3×#878C2214yes—
47C3×#878C2214yes—
48C3×C4×D12C2214yes—
49C3×C4×D12C2214yes—
50C3×C4×Dic6C2214yescomplemented
51C3×C4×Dic6C2214yescomplemented
52C3×#554—34no—
53C3×#554—34no—
54C3×#554—34no—
55C3×D4×Q8—34no—
56C3×#544—21no—
57C3×#544—31no—
58C3×#544D311yescharacteristic, complemented
59C3×#544C2×C311yescharacteristic, complemented
60C3×#543—34no—
61C3×#533—32no—
62C2×C3×C22⋊Q8—34no—
63C3×#518—32no—
64C2×C3×C4×D4—31no—
65#5730C2×C314yescomplemented
66#5727C2×C314yescomplemented
67#5690C2×C314yescomplemented
68#5690C2×C314yescomplemented
69#5634C2×C314yescomplemented
70D3×C22⋊Q8C2×C314yescomplemented
71#5521C2×C312yes—
72#5517C2×C312yescomplemented
73C2×#893C2×C311yescharacteristic
74#5500C2×C311yescharacteristic, complemented
75C23×C3×D3C2312yes—
76C2×C32×Q8C2314yes—
77C22×C32×C4C2312yes—
78C22×C32×C4C2311yescharacteristic
79C22×C3×Dic3C2311yescharacteristic
80C22×C3×Dic3C2311yescharacteristic
81C3×D3×Q8—48no—
82C2×C3×D12Q818yescomplemented
83C2×C3×D12C2314yes—
84C2×C3×C4×D3—44no—
85C2×C3×C4×D3C2314yes—
86C2×C3×C4×D3C2318yes—
87C2×C3×C4×D3C2318yes—
88C2×C3×C4×D3C2314yes—
89C2×C3×Dic6C2314yes—
90C2×C3×Dic6C2314yes—
91C2×C3×Dic6C2314yes—
92C32×C4⋊C4C2314yes—
93C32×C4⋊C4C2312yes—
94C32×C4⋊C4C2312yes—
95C32×C4⋊C4C2314yes—
96C32×C4⋊C4C2318yes—
97C32×C22⋊C4C2314yes—
98C32×C42C2314yes—
99C3×#217C2314yes—
100C3×(C2×D3)⋊C4C2318yes—
101C3×(C2×D3)⋊C4C2318yes—
102C3×(C2×D3)⋊C4C2318yes—
103C3×C4⋊Dic3C2314yes—
104C3×C4⋊Dic3C2314yes—
105C3×C4⋊Dic3C2312yes—
106C3×C4⋊Dic3C2312yes—
107C3×C4⋊Dic3C2314yes—
108C3×Dic3⋊C4C2314yes—
109C3×Dic3⋊C4C2314yes—
110C3×Dic3⋊C4C2314yes—
111C3×Dic3⋊C4C2314yes—
112C3×Dic3⋊C4C2318yes—
113C3×C4×Dic3C2312yes—
114C3×C4×Dic3C2314yes—
115C3×C4×Dic3C2312yes—
116#3501—31noSylow
117C22×C3×Q8—34no—
118C22×C3×D4—31no—
119C23×C3×C4—32no—
120C2×D3×Q8C22×C314yescomplemented
121C22×D12C22×C311yescharacteristic
122C22×C4×D3C22×C312yes—
123C3×C4⋊Q8—24no—
124C3×C4⋊Q8—32no—
125C3×C4⋊Q8—32no—
126C3×C4⋊Q8—34no—
127C3×C4⋊Q8C2×D314yescomplemented
128C3×C4⋊Q8C22×C314yescomplemented
129C3×#125—24no—
130C3×#125—32no—
131C3×#125—32no—
132C3×#125—34no—
133C3×#125C2×D314yescomplemented
134C3×#125C22×C314yescomplemented
135C3×C22⋊Q8—24no—
136C3×C22⋊Q8—34no—
137C3×C22⋊Q8—38no—
138C3×C22⋊Q8—34no—
139C3×C22⋊Q8—38no—
140C3×C22⋊Q8—38no—
141C3×C22⋊Q8—38no—
142C3×C22⋊Q8—34no—
143C3×C22⋊Q8—38no—
144C3×C22⋊Q8—34no—
145C3×C22⋊Q8—34no—
146C3×C22⋊Q8C2×D314yes—
147C3×C22⋊Q8C22×C314yes—
148C3×C4×Q8—34no—
149C3×C4×Q8—34no—
150C3×C4×D4—34no—
151C3×C4×D4—34no—
152C3×C4×D4—34no—
153C3×C4×D4—34no—
154C3×C4×D4—34no—
155C3×C4×D4—34no—
156C3×#117—22no—
157C3×#117—32no—
158C3×#117C2×D312yes—
159C3×#117C22×C312yes—
160C2×C3×C4⋊C4—21no—
161C2×C3×C4⋊C4—38no—
162C2×C3×C4⋊C4—34no—
163C2×C3×C4⋊C4C2×D311yescharacteristic
164C2×C3×C4⋊C4C22×C311yescharacteristic
165C2×C3×C22⋊C4—32no—
166C2×C3×C22⋊C4—38no—
167C2×C3×C42—31no—
168#946C22×C318yescomplemented
169#946C22×C314yescomplemented
170C2×(C2×D3)⋊C4C22×C312yes—
171#926C22×C312yes—
172#924C22×C314yes—
173C2×C4×Dic3C22×C311yescharacteristic
174#897C22×C318yescomplemented
175#897C22×C314yescomplemented
176#896C22×C318yescomplemented
177#896C22×C318yescomplemented
178#896C22×C318yescomplemented
179#893C22×C314yes—
180#893C22×C314yes—
181#893C22×C314yes—
182#893C22×C314yes—
183D3×C4⋊C4C22×C314yescomplemented
184D3×C4⋊C4C22×C318yescomplemented
185#890C22×C312yescomplemented
186#890C22×C314yescomplemented
187#890C22×C312yescomplemented
188#888C22×C312yescomplemented
189#888C22×C314yescomplemented
190#888C22×C312yescomplemented
191D3×C22⋊C4C22×C318yes—
192#878C22×C314yes—
193#878C22×C314yes—
194C4×D12C22×C314yes—
195C4×D12C22×C314yes—
196C4×Dic6C22×C314yescomplemented
197C4×Dic6C22×C314yescomplemented
198C23×C32C2411yescharacteristic
199C22×C3×D3—42no—
200C22×C3×D3—42no—
201C22×C3×D3C2×Q818yescomplemented
202C22×C3×D3C2414yes—
203C32×Q8—44no—
204C2×C32×C4—42no—
205C2×C32×C4C2×Q814yescomplemented
206C2×C32×C4C2414yes—
207C2×C32×C4C2414yes—
208C2×C32×C4C2414yes—
209C2×C32×C4C2412yes—
210C2×C3×Dic3—22no—
211C2×C3×Dic3—41no—
212C2×C3×Dic3C2411yescharacteristic
213C2×C3×Dic3C2412yes—
214C2×C3×Dic3C2414yes—
215C2×C3×Dic3C2414yes—
216C2×C3×Dic3C2411yescharacteristic
217C3×D12C2×Q8116yescomplemented
218C3×C4×D3—28no—
219C3×C4×D3—44no—
220C3×C4×D3—48no—
221C3×C4×D3—48no—
222C3×Dic6—28no—
223C3×Dic6—44no—
224C3×Dic6—44no—
225#554—34no—
226#554—34no—
227#554—34no—
228D4×Q8—34no—
229#544—31no—
230#544C3×D311yescharacteristic, complemented
231#543—34no—
232#533—32no—
233C2×C22⋊Q8—34no—
234#518—32no—
235C2×C4×D4—31no—
236C24×C3—32no—
237C23×D3C23×C312yes—
238C2×C3×Q8—24no—
239C2×C3×Q8—34no—
240C2×C3×Q8—34no—
241C2×C3×Q8—34no—
242C2×C3×Q8—128no—
243C2×C3×Q8C22×D314yes—
244C2×C3×Q8C23×C314yes—
245C2×C3×D4—38no—
246C2×C3×D4—34no—
247C22×C3×C4—21no—
248C22×C3×C4—22no—
249C22×C3×C4—31no—
250C22×C3×C4—31no—
251C22×C3×C4—34no—
252C22×C3×C4—38no—
253C22×C3×C4—38no—
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×C311yescharacteristic
261C22×Dic3C23×C311yescharacteristic
262D3×Q8—48no—
263C2×D12C3×Q818yescomplemented
264C2×D12C23×C314yes—
265C2×C4×D3—44no—
266C2×C4×D3C23×C314yes—
267C2×C4×D3C23×C318yes—
268C2×C4×D3C23×C318yes—
269C2×C4×D3C23×C314yes—
270C2×Dic6C23×C314yes—
271C2×Dic6C23×C314yes—
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—34no—
279C3×C4⋊C4—34no—
280C3×C4⋊C4—38no—
281C3×C4⋊C4—34no—
282C3×C4⋊C4—34no—
283C3×C4⋊C4—34no—
284C3×C4⋊C4—34no—
285C3×C4⋊C4—32no—
286C3×C4⋊C4—32no—
287C3×C4⋊C4—34no—
288C3×C4⋊C4C22×D314yes—
289C3×C4⋊C4C22×D318yes—
290C3×C4⋊C4C22×D314yes—
291C3×C4⋊C4C22×D312yes—
292C3×C4⋊C4C22×D312yes—
293C3×C4⋊C4C23×C314yes—
294C3×C4⋊C4C23×C312yes—
295C3×C4⋊C4C23×C312yes—
296C3×C4⋊C4C23×C314yes—
297C3×C4⋊C4C23×C318yes—
298C3×C22⋊C4—24no—
299C3×C22⋊C4—34no—
300C3×C22⋊C4—38no—
301C3×C22⋊C4—38no—
302C3×C22⋊C4—38no—
303C3×C22⋊C4C22×D314yes—
304C3×C22⋊C4C23×C314yes—
305C3×C42—24no—
306C3×C42—32no—
307C3×C42—32no—
308C3×C42—34no—
309C3×C42C22×D314yes—
310C3×C42C23×C314yes—
311#217C23×C314yes—
312(C2×D3)⋊C4C23×C318yes—
313(C2×D3)⋊C4C23×C318yes—
314(C2×D3)⋊C4C23×C318yes—
315C4⋊Dic3C23×C314yes—
316C4⋊Dic3C23×C314yes—
317C4⋊Dic3C23×C312yes—
318C4⋊Dic3C23×C312yes—
319C4⋊Dic3C23×C314yes—
320Dic3⋊C4C23×C314yes—
321Dic3⋊C4C23×C314yes—
322Dic3⋊C4C23×C314yes—
323Dic3⋊C4C23×C314yes—
324Dic3⋊C4C23×C318yes—
325C4×Dic3C23×C312yes—
326C4×Dic3C23×C314yes—
327C4×Dic3C23×C312yes—
328C22×C32—21no—
329C22×C32—21no—
330C22×C32C22×Q812yes—
331C22×C32C2511yescharacteristic
332C2×C3×D3—24no—
333C2×C3×D3—24no—
334C2×C3×D3—48no—
335C2×C3×D3C22×Q818yes—
336C32×C4—24no—
337C32×C4—24no—
338C32×C4—24no—
339C32×C4C22×Q814yes—
340C3×Dic3—24no—
341C3×Dic3—21no—
342C3×Dic3—22no—
343C3×Dic3—24no—
344C3×Dic3H(5,𝔽2)12yes—
345C22×Q8—34no—
346C22×D4—31no—
347C23×C4—32no—
348C4⋊Q8—32no—
349C4⋊Q8—32no—
350C4⋊Q8—34no—
351C4⋊Q8C2×C3×D314yescomplemented
352#125—32no—
353#125—32no—
354#125—34no—
355#125C2×C3×D314yescomplemented
356C22⋊Q8—34no—
357C22⋊Q8—38no—
358C22⋊Q8—34no—
359C22⋊Q8—38no—
360C22⋊Q8—34no—
361C22⋊Q8—38no—
362C22⋊Q8—38no—
363C22⋊Q8—38no—
364C22⋊Q8—34no—
365C22⋊Q8—34no—
366C22⋊Q8C2×C3×D314yes—
367C4×Q8—34no—
368C4×Q8—34no—
369C4×D4—34no—
370C4×D4—34no—
371C4×D4—34no—
372C4×D4—34no—
373C4×D4—34no—
374C4×D4—34no—
375#117—32no—
376#117C2×C3×D312yes—
377C2×C4⋊C4—38no—
378C2×C4⋊C4—34no—
379C2×C4⋊C4C2×C3×D311yescharacteristic
380C2×C22⋊C4—32no—
381C2×C22⋊C4—38no—
382C2×C42—31no—
383C23×C3—21no—
384C23×C3—34no—
385C23×C3—38no—
386C23×C3—122no—
387C23×C3—122no—
388C23×C3C23×D311yescharacteristic
389C23×C3C24×C311yescharacteristic
390C22×D3—42no—
391C22×D3—42no—
392C22×D3C2×C3×Q818yescomplemented
393C22×D3C24×C314yes—
394C3×Q8—44no—
395C3×Q8—44no—
396C3×Q8—68no—
397C3×Q8—84no—
398C3×Q8—124no—
399C3×Q8—124no—
400C3×D4—316no—
401C2×C3×C4—22no—
402C2×C3×C4—24no—
403C2×C3×C4—24no—
404C2×C3×C4—24no—
405C2×C3×C4—24no—
406C2×C3×C4—31no—
407C2×C3×C4—32no—
408C2×C3×C4—31no—
409C2×C3×C4—34no—
410C2×C3×C4—34no—
411C2×C3×C4—42no—
412C2×C3×C4—42no—
413C2×C3×C4—68no—
414C2×C3×C4—62no—
415C2×C3×C4—82no—
416C2×C3×C4—128no—
417C2×C3×C4—124no—
418C2×C3×C4—128no—
419C2×C3×C4—121no—
420C2×C3×C4D3×Q814yescomplemented
421C2×C3×C4C2×C3×Q814yescomplemented
422C2×C3×C4C23×D314yes—
423C2×C3×C4C23×D314yes—
424C2×C3×C4C23×D314yes—
425C2×C3×C4C23×D312yes—
426C2×C3×C4C24×C314yes—
427C2×C3×C4C24×C314yes—
428C2×C3×C4C24×C314yes—
429C2×C3×C4C24×C312yes—
430C2×Dic3—22no—
431C2×Dic3—41no—
432C2×Dic3C24×C311yescharacteristic
433C2×Dic3C24×C312yes—
434C2×Dic3C24×C314yes—
435C2×Dic3C24×C314yes—
436C2×Dic3C24×C311yescharacteristic
437D12C2×C3×Q8116yescomplemented
438C4×D3—28no—
439C4×D3—44no—
440C4×D3—48no—
441C4×D3—48no—
442Dic6—28no—
443Dic6—44no—
444Dic6—44no—
445C2×C32—22no—
446C2×C32C23×Q811yescharacteristic
447C2×C32C2×H(5,𝔽2)11yescharacteristic
448C2×C32#58511yescharacteristic
449C3×D3—28no—
450C24—32no—
451C2×Q8—34no—
452C2×Q8—34no—
453C2×Q8—34no—
454C2×Q8—128no—
455C2×Q8C22×C3×D314yes—
456C2×D4—34no—
457C2×D4—38no—
458C22×C4—31no—
459C22×C4—31no—
460C22×C4—34no—
461C22×C4—38no—
462C22×C4—38no—
463C22×C4—34no—
464C22×C4—124no—
465C22×C4C22×C3×D312yes—
466C22×C4C22×C3×D311yescharacteristic
467C4⋊C4—34no—
468C4⋊C4—34no—
469C4⋊C4—34no—
470C4⋊C4—34no—
471C4⋊C4—38no—
472C4⋊C4—32no—
473C4⋊C4—32no—
474C4⋊C4—34no—
475C4⋊C4—34no—
476C4⋊C4—34no—
477C4⋊C4C22×C3×D314yes—
478C4⋊C4C22×C3×D318yes—
479C4⋊C4C22×C3×D314yes—
480C4⋊C4C22×C3×D312yes—
481C4⋊C4C22×C3×D312yes—
482C22⋊C4—34no—
483C22⋊C4—38no—
484C22⋊C4—38no—
485C22⋊C4—38no—
486C22⋊C4C22×C3×D314yes—
487C42—32no—
488C42—32no—
489C42—34no—
490C42C22×C3×D314yes—
491C22×C3—21no—
492C22×C3—21no—
493C22×C3—21no—
494C22×C3—21no—
495C22×C3—22no—
496C22×C3—21no—
497C22×C3—38no—
498C22×C3—41no—
499C22×C3—41no—
500C22×C3—64no—
501C22×C3—64no—
502C22×C3—128no—
503C22×C3C2×D3×Q812yes—
504C22×C3C22×C3×Q812yes—
505C22×C3C24×D311yescharacteristic
506C22×C3C25×C311yescharacteristic
507C2×D3—24no—
508C2×D3—24no—
509C2×D3—48no—
510C2×D3C22×C3×Q818yes—
511C3×C4—24no—
512C3×C4—24no—
513C3×C4—24no—
514C3×C4—24no—
515C3×C4—24no—
516C3×C4—24no—
517C3×C4—24no—
518C3×C4—32no—
519C3×C4—44no—
520C3×C4—44no—
521C3×C4—44no—
522C3×C4—61no—
523C3×C4—64no—
524C3×C4—64no—
525C3×C4—62no—
526C3×C4C2×D3×Q814yes—
527C3×C4C22×C3×Q814yes—
528Dic3—24no—
529Dic3—21no—
530Dic3—22no—
531Dic3—24no—
532Dic3C3×H(5,𝔽2)12yes—
533C32#350111yescharacteristic, complemented, Sylow
534C23—34no—
535C23—38no—
536C23—122no—
537C23—122no—
538C23C23×C3×D311yescharacteristic
539Q8—44no—
540Q8—68no—
541Q8—124no—
542Q8—124no—
543D4—316no—
544C2×C4—31no—
545C2×C4—32no—
546C2×C4—31no—
547C2×C4—34no—
548C2×C4—34no—
549C2×C4—42no—
550C2×C4—68no—
551C2×C4—62no—
552C2×C4—124no—
553C2×C4—128no—
554C2×C4—128no—
555C2×C4—121no—
556C2×C4C3×D3×Q814yescomplemented
557C2×C4C23×C3×D314yes—
558C2×C4C23×C3×D314yes—
559C2×C4C23×C3×D314yes—
560C2×C4C23×C3×D312yes—
561C2×C3—22no—
562C2×C3—22no—
563C2×C3—21no—
564C2×C3—21no—
565C2×C3—21no—
566C2×C3—42no—
567C2×C3—68no—
568C2×C3C22×D3×Q811yescharacteristic
569C2×C3D3×H(5,𝔽2)11yescharacteristic
570C2×C3#596811yescharacteristic
571C2×C3C23×C3×Q811yescharacteristic
572C2×C3C2×C3×H(5,𝔽2)11yescharacteristic
573C2×C3C3×#58511yescharacteristic
574D3—28no—
575C22—21no—
576C22—21no—
577C22—38no—
578C22—64no—
579C22—64no—
580C22—128no—
581C22C2×C3×D3×Q812yes—
582C22C24×C3×D311yescharacteristic
583C4—24no—
584C4—24no—
585C4—24no—
586C4—32no—
587C4—61no—
588C4—64no—
589C4—64no—
590C4—62no—
591C4C2×C3×D3×Q814yes—
592C3—21no—
593C3#8659911yescharacteristic, direct product factor
594C3C3×#350111yescharacteristic, complemented
595C2—22no—
596C2—68no—
597C2C22×C3×D3×Q811yescharacteristic
598C2C3×D3×H(5,𝔽2)11yescharacteristic
599C2C3×#596811yescharacteristic
subgroupG/H
centerC22×C3C24×D3
commutator, cosocleC22×C3C25×C3
FrattiniC22C24×C3×D3
FittingC32×#544C2
socleC22×C32C25
prime radicalC22×C3×D12C22
hypercenterC3×#544D3
hypocenterC3C3×#3501
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×#5730C2semidirect
3. C3×#5727C2semidirect
4. C3×#5690C2semidirect
5. C3×#5690C2semidirect
6. C3×#5634C2semidirect
7. C3×D3×C22⋊Q8C2semidirect
9. C3×#5517C2semidirect
11. C3×#5500C2semidirect
13. #86599C3direct (N × H)
14. C2×C3×D3×Q8C22semidirect
17. C32×C4⋊Q8C22semidirect
18. C32×#125C22semidirect
22. C3×#946C22semidirect
23. C3×#946C22semidirect
28. C3×#897C22semidirect
29. C3×#897C22semidirect
30. C3×#896C22semidirect
31. C3×#896C22semidirect
32. C3×#896C22semidirect
37. C3×D3×C4⋊C4C22semidirect
38. C3×D3×C4⋊C4C22semidirect
39. C3×#890C22semidirect
40. C3×#890C22semidirect
41. C3×#890C22semidirect
42. C3×#888C22semidirect
43. C3×#888C22semidirect
44. C3×#888C22semidirect
50. C3×C4×Dic6C22semidirect
51. C3×C4×Dic6C22semidirect
58. C3×#544D3semidirect
59. C3×#544C2×C3semidirect
65. #5730C2×C3semidirect
66. #5727C2×C3semidirect
67. #5690C2×C3semidirect
68. #5690C2×C3semidirect
69. #5634C2×C3semidirect
70. D3×C22⋊Q8C2×C3semidirect
72. #5517C2×C3semidirect
74. #5500C2×C3semidirect
82. C2×C3×D12Q8semidirect
120. C2×D3×Q8C22×C3semidirect
127. C3×C4⋊Q8C2×D3semidirect
128. C3×C4⋊Q8C22×C3semidirect
133. C3×#125C2×D3semidirect
134. C3×#125C22×C3semidirect
168. #946C22×C3semidirect
169. #946C22×C3semidirect
174. #897C22×C3semidirect
175. #897C22×C3semidirect
176. #896C22×C3semidirect
177. #896C22×C3semidirect
178. #896C22×C3semidirect
183. D3×C4⋊C4C22×C3semidirect
184. D3×C4⋊C4C22×C3semidirect
185. #890C22×C3semidirect
186. #890C22×C3semidirect
187. #890C22×C3semidirect
188. #888C22×C3semidirect
189. #888C22×C3semidirect
190. #888C22×C3semidirect
196. C4×Dic6C22×C3semidirect
197. C4×Dic6C22×C3semidirect
201. C22×C3×D3C2×Q8semidirect
205. C2×C32×C4C2×Q8semidirect
217. C3×D12C2×Q8semidirect
230. #544C3×D3semidirect
263. C2×D12C3×Q8semidirect
351. C4⋊Q8C2×C3×D3semidirect
355. #125C2×C3×D3semidirect
392. C22×D3C2×C3×Q8semidirect
420. C2×C3×C4D3×Q8semidirect
421. C2×C3×C4C2×C3×Q8semidirect
437. D12C2×C3×Q8semidirect
533. C32#3501semidirect
556. C2×C4C3×D3×Q8semidirect
593. C3#86599direct (N × H)
594. C3C3×#3501semidirect

Maximal subgroups

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

subgroupindex
C32×#5442
C3×#57302
C3×#57272
C3×#56902
C3×#56342
C3×D3×C22⋊Q82
C3×#55212
C3×#55172
C2×C3×#8932
C3×#55002
C3×#35013
#865993