Finite Group Databasebeta

← C2×C3×#5679 #11902886

Subgroups — C2×C3×#5679 #11902886

Order 1152.

2821 conjugacy classes of subgroups.

The subgroup lattice has 604 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×#124C211yesmaximal, characteristic, complemented
2C2×C3×#946C212yesmaximal, complemented
3C2×C3×#937C211yesmaximal, characteristic
4C2×C3×#935C211yesmaximal, characteristic, complemented
5C3×#5679C2116yesmaximal, direct product factor
6C2×C3×#883C212yesmaximal, complemented
7C2×C3×#67⋊C4C212yesmaximal, complemented
8C2×C3×D3×C22⋊C4C212yesmaximal, complemented
9C2×C3×#879C212yesmaximal, complemented
10C2×C3×#872C212yesmaximal, complemented
11C2×C3×#551—31nomaximal
12C2×#5679C311yesmaximal, characteristic, direct product factor
13C24×C3×D3C2211yescharacteristic
14C22×C32×Q8C2211yescharacteristic, complemented
15C22×C32×D4C2211yescharacteristic
16C22×C3×#67C2212yes—
17C23×C3×Dic3C2211yescharacteristic, complemented
18C22×C3×C4×D3C2212yes—
19C22×C3×C4×D3C2212yes—
20C32×#124C2218yescomplemented
21C2×C32×C22⋊C4C2212yes—
22C2×C32×C22⋊C4C2212yescomplemented
23C2×C32×C42C2211yescharacteristic, complemented
24C2×C3×#217C2212yes—
25C2×C3×#217C2211yescharacteristic
26C2×C3×#217C2211yescharacteristic, complemented
27C3×#946C22116yescomplemented
28C3×#937C2218yes—
29C3×#935C2218yescomplemented
30C2×C3×(C2×D3)⋊C4C2212yes—
31C2×C3×(C2×D3)⋊C4C2212yes—
32C2×C3×(C2×D3)⋊C4C2212yes—
33C2×C3×C4⋊Dic3C2212yescomplemented
34C2×C3×Dic3⋊C4C2212yescomplemented
35C2×C3×Dic3⋊C4C2212yescomplemented
36C2×C3×Dic3⋊C4C2212yescomplemented
37C2×C3×C4×Dic3C2212yescomplemented
38C3×#883C22116yescomplemented
39C3×#67⋊C4C22116yescomplemented
40C3×D3×C22⋊C4C22116yescomplemented
41C3×#879C22116yescomplemented
42C3×#872C22116yescomplemented
43C3×#551—316no—
44C2×C3×#126—32no—
45C2×C3×#124—21no—
46C2×C3×#124D311yescharacteristic, complemented
47C2×C3×#124C2×C311yescharacteristic, complemented
48C2×C3×#123—31no—
49C2×C3×#123—32no—
50C2×C3×C22⋊Q8—32no—
51C2×C3×#120—31no—
52C2×C3×C4×D4—32no—
53C2×C3×#117—32no—
54C22×C3×C22⋊C4—32no—
55C2×#946C2×C312yescomplemented
56C2×#937C2×C311yescharacteristic
57C2×#935C2×C311yescharacteristic, complemented
58#5679C2×C3116yesdirect product factor
59C2×#883C2×C312yescomplemented
60C2×#67⋊C4C2×C312yescomplemented
61C2×D3×C22⋊C4C2×C312yescomplemented
62C2×#879C2×C312yescomplemented
63C2×#872C2×C312yescomplemented
64C24×C32C2311yescharacteristic
65C24×C32C2311yescharacteristic
66C23×C3×D3—28no—
67C23×C3×D3—42no—
68C23×C3×D3C2314yes—
69C23×C3×D3C2312yes—
70C2×C32×Q8—42no—
71C2×C32×Q8C2314yescomplemented
72C2×C32×D4—42no—
73C2×C32×D4C2314yes—
74C22×C32×C4C2312yes—
75C22×C32×C4C2311yescharacteristic
76C22×C32×C4C2312yes—
77C2×C3×#67—28no—
78C2×C3×#67C2318yes—
79C22×C3×Dic3—42no—
80C22×C3×Dic3C2312yes—
81C22×C3×Dic3C2312yes—
82C22×C3×Dic3C2312yes—
83C22×C3×Dic3C2314yescomplemented
84C2×C3×C4×D3—28no—
85C2×C3×C4×D3—44no—
86C2×C3×C4×D3C2318yes—
87C2×C3×C4×D3C2318yes—
88C32×C22⋊C4C2318yes—
89C32×C22⋊C4C2318yescomplemented
90C32×C42C2314yescomplemented
91C3×#217C2314yes—
92C3×#217C2318yes—
93C3×#217C2314yescomplemented
94C3×(C2×D3)⋊C4C2318yes—
95C3×(C2×D3)⋊C4C2318yes—
96C3×(C2×D3)⋊C4C2318yes—
97C3×C4⋊Dic3C2318yescomplemented
98C3×Dic3⋊C4C2318yescomplemented
99C3×Dic3⋊C4C2318yescomplemented
100C3×Dic3⋊C4C2318yescomplemented
101C3×C4×Dic3C2318yescomplemented
102C2×#551—31noSylow
103C25×C3—31no—
104C24×D3C22×C311yescharacteristic
105C22×C3×Q8—21no—
106C22×C3×Q8C2×D311yescharacteristic, complemented
107C22×C3×Q8C22×C311yescharacteristic, complemented
108C22×C3×D4—21no—
109C22×C3×D4—32no—
110C22×C3×D4C2×D311yescharacteristic
111C22×C3×D4C22×C311yescharacteristic
112C23×C3×C4—31no—
113C23×C3×C4—32no—
114C23×C3×C4—32no—
115C22×#67C22×C312yes—
116C23×Dic3C22×C311yescharacteristic, complemented
117C22×C4×D3C22×C312yes—
118C22×C4×D3C22×C312yes—
119C3×#126—316no—
120C3×#124—28no—
121C3×#124C2×D318yescomplemented
122C3×#124C22×C318yescomplemented
123C3×#123—38no—
124C3×#123—316no—
125C3×C22⋊Q8—316no—
126C3×#120—38no—
127C3×C4×D4—316no—
128C3×#117—316no—
129C2×C3×C4⋊C4—32no—
130C2×C3×C4⋊C4—32no—
131C2×C3×C4⋊C4—32no—
132C2×C3×C4⋊C4—32no—
133C2×C3×C22⋊C4—22no—
134C2×C3×C22⋊C4—22no—
135C2×C3×C22⋊C4—32no—
136C2×C3×C22⋊C4—31no—
137C2×C3×C22⋊C4—31no—
138C2×C3×C22⋊C4—32no—
139C2×C3×C22⋊C4—32no—
140C2×C3×C22⋊C4—32no—
141C2×C3×C22⋊C4—316no—
142C2×C3×C22⋊C4C2×D312yes—
143C2×C3×C22⋊C4C2×D312yescomplemented
144C2×C3×C22⋊C4C22×C312yes—
145C2×C3×C22⋊C4C22×C312yescomplemented
146C2×C3×C42—21no—
147C2×C3×C42—32no—
148C2×C3×C42C2×D311yescharacteristic, complemented
149C2×C3×C42C22×C311yescharacteristic, complemented
150C2×#217C22×C311yescharacteristic
151C2×#217C22×C312yes—
152C2×#217C22×C311yescharacteristic, complemented
153#946C22×C3116yescomplemented
154#937C22×C318yes—
155#935C22×C318yescomplemented
156C2×(C2×D3)⋊C4C22×C312yes—
157C2×(C2×D3)⋊C4C22×C312yes—
158C2×(C2×D3)⋊C4C22×C312yes—
159C2×C4⋊Dic3C22×C312yescomplemented
160C2×Dic3⋊C4C22×C312yescomplemented
161C2×Dic3⋊C4C22×C312yescomplemented
162C2×Dic3⋊C4C22×C312yescomplemented
163C2×C4×Dic3C22×C312yescomplemented
164#883C22×C3116yescomplemented
165#67⋊C4C22×C3116yescomplemented
166D3×C22⋊C4C22×C3116yescomplemented
167#879C22×C3116yescomplemented
168#872C22×C3116yescomplemented
169C23×C32—24no—
170C23×C32—24no—
171C23×C32—22no—
172C23×C32—22no—
173C23×C32C2412yes—
174C23×C32C2412yes—
175C23×C32C2411yescharacteristic
176C22×C3×D3—24no—
177C22×C3×D3—24no—
178C22×C3×D3—216no—
179C22×C3×D3—44no—
180C22×C3×D3—416no—
181C22×C3×D3#4118yes—
182C22×C3×D3C2414yes—
183C32×Q8—44no—
184C32×D4—44no—
185C2×C32×C4—22no—
186C2×C32×C4—24no—
187C2×C32×C4—24no—
188C2×C32×C4C2414yes—
189C2×C32×C4C2412yes—
190C2×C32×C4C2414yes—
191C3×#67—216no—
192C2×C3×Dic3—24no—
193C2×C3×Dic3—24no—
194C2×C3×Dic3—24no—
195C2×C3×Dic3—44no—
196C2×C3×Dic3C2414yes—
197C2×C3×Dic3C2414yes—
198C2×C3×Dic3C2414yes—
199C3×C4×D3—216no—
200C3×C4×D3—48no—
201#551—316no—
202C2×#126—32no—
203C2×#124C3×D311yescharacteristic, complemented
204C2×#123—31no—
205C2×#123—32no—
206C2×C22⋊Q8—32no—
207C2×#120—31no—
208C2×C4×D4—32no—
209C2×#117—32no—
210C22×C22⋊C4—32no—
211C24×C3—21no—
212C24×C3—21no—
213C24×C3—32no—
214C24×C3—34no—
215C24×C3—68no—
216C24×C3—122no—
217C24×C3C22×D311yescharacteristic
218C24×C3C22×D311yescharacteristic
219C24×C3C23×C311yescharacteristic
220C24×C3C23×C311yescharacteristic
221C23×D3—28no—
222C23×D3—42no—
223C23×D3C23×C314yes—
224C23×D3C23×C312yes—
225C2×C3×Q8—24no—
226C2×C3×Q8—42no—
227C2×C3×Q8—42no—
228C2×C3×Q8—44no—
229C2×C3×Q8C22×D314yescomplemented
230C2×C3×Q8C23×C314yescomplemented
231C2×C3×D4—24no—
232C2×C3×D4—38no—
233C2×C3×D4—42no—
234C2×C3×D4—42no—
235C2×C3×D4—44no—
236C2×C3×D4—68no—
237C2×C3×D4C22×D314yes—
238C2×C3×D4C23×C314yes—
239C22×C3×C4—21no—
240C22×C3×C4—22no—
241C22×C3×C4—22no—
242C22×C3×C4—32no—
243C22×C3×C4—32no—
244C22×C3×C4—32no—
245C22×C3×C4—34no—
246C22×C3×C4—38no—
247C22×C3×C4—38no—
248C22×C3×C4—68no—
249C22×C3×C4—124no—
250C22×C3×C4—122no—
251C22×C3×C4C22×D312yes—
252C22×C3×C4C22×D311yescharacteristic
253C22×C3×C4C22×D312yes—
254C22×C3×C4C23×C312yes—
255C22×C3×C4C23×C311yescharacteristic
256C22×C3×C4C23×C312yes—
257C2×#67—28no—
258C2×#67C23×C318yes—
259C22×Dic3—42no—
260C22×Dic3C23×C312yes—
261C22×Dic3C23×C312yes—
262C22×Dic3C23×C312yes—
263C22×Dic3C23×C314yescomplemented
264C2×C4×D3—28no—
265C2×C4×D3—44no—
266C2×C4×D3C23×C318yes—
267C2×C4×D3C23×C318yes—
268C3×C4⋊C4—38no—
269C3×C4⋊C4—38no—
270C3×C4⋊C4—38no—
271C3×C4⋊C4—38no—
272C3×C22⋊C4—28no—
273C3×C22⋊C4—28no—
274C3×C22⋊C4—38no—
275C3×C22⋊C4—34no—
276C3×C22⋊C4—34no—
277C3×C22⋊C4—38no—
278C3×C22⋊C4—38no—
279C3×C22⋊C4—38no—
280C3×C22⋊C4C22×D318yes—
281C3×C22⋊C4C22×D318yescomplemented
282C3×C22⋊C4C23×C318yes—
283C3×C22⋊C4C23×C318yescomplemented
284C3×C42—24no—
285C3×C42—38no—
286C3×C42C22×D314yescomplemented
287C3×C42C23×C314yescomplemented
288#217C23×C314yes—
289#217C23×C318yes—
290#217C23×C314yescomplemented
291(C2×D3)⋊C4C23×C318yes—
292(C2×D3)⋊C4C23×C318yes—
293(C2×D3)⋊C4C23×C318yes—
294C4⋊Dic3C23×C318yescomplemented
295Dic3⋊C4C23×C318yescomplemented
296Dic3⋊C4C23×C318yescomplemented
297Dic3⋊C4C23×C318yescomplemented
298C4×Dic3C23×C318yescomplemented
299C22×C32—24no—
300C22×C32—24no—
301C22×C32—22no—
302C22×C32—22no—
303C22×C32—44no—
304C22×C32—44no—
305C22×C32C2×#4114yes—
306C22×C32H(5,𝔽2)12yes—
307C22×C32C2511yescharacteristic
308C2×C3×D3—216no—
309C2×C3×D3—24no—
310C2×C3×D3—24no—
311C2×C3×D3—416no—
312C2×C3×D3C2×#4118yes—
313C32×C4—22no—
314C32×C4—24no—
315C32×C4—24no—
316C3×Dic3—24no—
317C3×Dic3—24no—
318C3×Dic3—24no—
319C25—31no—
320C22×Q8C2×C3×D311yescharacteristic, complemented
321C22×D4—32no—
322C22×D4C2×C3×D311yescharacteristic
323C23×C4—31no—
324C23×C4—32no—
325C23×C4—32no—
326#126—316no—
327#124C2×C3×D318yescomplemented
328#123—38no—
329#123—316no—
330C22⋊Q8—316no—
331#120—38no—
332C4×D4—316no—
333#117—316no—
334C2×C4⋊C4—32no—
335C2×C4⋊C4—32no—
336C2×C4⋊C4—32no—
337C2×C4⋊C4—32no—
338C2×C22⋊C4—32no—
339C2×C22⋊C4—31no—
340C2×C22⋊C4—31no—
341C2×C22⋊C4—32no—
342C2×C22⋊C4—32no—
343C2×C22⋊C4—32no—
344C2×C22⋊C4—316no—
345C2×C22⋊C4C2×C3×D312yes—
346C2×C22⋊C4C2×C3×D312yescomplemented
347C2×C42—32no—
348C2×C42C2×C3×D311yescharacteristic, complemented
349C23×C3—22no—
350C23×C3—22no—
351C23×C3—24no—
352C23×C3—24no—
353C23×C3—24no—
354C23×C3—24no—
355C23×C3—22no—
356C23×C3—22no—
357C23×C3—21no—
358C23×C3—22no—
359C23×C3—22no—
360C23×C3—38no—
361C23×C3—34no—
362C23×C3—42no—
363C23×C3—42no—
364C23×C3—44no—
365C23×C3—44no—
366C23×C3—616no—
367C23×C3—64no—
368C23×C3—64no—
369C23×C3—124no—
370C23×C3—1216no—
371C23×C3C23×D312yes—
372C23×C3C23×D312yes—
373C23×C3C23×D311yescharacteristic
374C23×C3C24×C312yes—
375C23×C3C24×C312yes—
376C23×C3C24×C311yescharacteristic
377C22×D3—24no—
378C22×D3—24no—
379C22×D3—216no—
380C22×D3—44no—
381C22×D3—416no—
382C22×D3C3×#4118yes—
383C22×D3C24×C314yes—
384C3×Q8—44no—
385C3×Q8—44no—
386C3×Q8—48no—
387C3×D4—44no—
388C3×D4—44no—
389C3×D4—48no—
390C3×D4—616no—
391C2×C3×C4—24no—
392C2×C3×C4—24no—
393C2×C3×C4—22no—
394C2×C3×C4—24no—
395C2×C3×C4—24no—
396C2×C3×C4—24no—
397C2×C3×C4—22no—
398C2×C3×C4—22no—
399C2×C3×C4—24no—
400C2×C3×C4—24no—
401C2×C3×C4—34no—
402C2×C3×C4—34no—
403C2×C3×C4—34no—
404C2×C3×C4—44no—
405C2×C3×C4—44no—
406C2×C3×C4—616no—
407C2×C3×C4—64no—
408C2×C3×C4—64no—
409C2×C3×C4—64no—
410C2×C3×C4—128no—
411C2×C3×C4—124no—
412C2×C3×C4C23×D314yes—
413C2×C3×C4C23×D312yes—
414C2×C3×C4C23×D314yes—
415C2×C3×C4C24×C314yes—
416C2×C3×C4C24×C312yes—
417C2×C3×C4C24×C314yes—
418#67—216no—
419C2×Dic3—24no—
420C2×Dic3—24no—
421C2×Dic3—24no—
422C2×Dic3—44no—
423C2×Dic3C24×C314yes—
424C2×Dic3C24×C314yes—
425C2×Dic3C24×C314yes—
426C4×D3—216no—
427C4×D3—48no—
428C2×C32—42no—
429C2×C32—42no—
430C2×C32#55114yescomplemented
431C2×C32C22×#4112yes—
432C2×C32C2×H(5,𝔽2)11yescharacteristic
433C3×D3—28no—
434C24—32no—
435C24—34no—
436C24—68no—
437C24—122no—
438C24C22×C3×D311yescharacteristic
439C24C22×C3×D311yescharacteristic
440C2×Q8—42no—
441C2×Q8C22×C3×D314yescomplemented
442C2×D4—38no—
443C2×D4—42no—
444C2×D4—68no—
445C2×D4C22×C3×D314yes—
446C22×C4—32no—
447C22×C4—32no—
448C22×C4—32no—
449C22×C4—34no—
450C22×C4—38no—
451C22×C4—38no—
452C22×C4—68no—
453C22×C4—124no—
454C22×C4—122no—
455C22×C4C22×C3×D312yes—
456C22×C4C22×C3×D311yescharacteristic
457C22×C4C22×C3×D312yes—
458C4⋊C4—38no—
459C4⋊C4—38no—
460C4⋊C4—38no—
461C4⋊C4—38no—
462C22⋊C4—38no—
463C22⋊C4—34no—
464C22⋊C4—34no—
465C22⋊C4—38no—
466C22⋊C4—38no—
467C22⋊C4—38no—
468C22⋊C4C22×C3×D318yes—
469C22⋊C4C22×C3×D318yescomplemented
470C42—38no—
471C42C22×C3×D314yescomplemented
472C22×C3—22no—
473C22×C3—22no—
474C22×C3—24no—
475C22×C3—24no—
476C22×C3—24no—
477C22×C3—24no—
478C22×C3—22no—
479C22×C3—22no—
480C22×C3—22no—
481C22×C3—24no—
482C22×C3—21no—
483C22×C3—38no—
484C22×C3—42no—
485C22×C3—42no—
486C22×C3—44no—
487C22×C3—44no—
488C22×C3—44no—
489C22×C3—44no—
490C22×C3—44no—
491C22×C3—44no—
492C22×C3—616no—
493C22×C3—64no—
494C22×C3—64no—
495C22×C3—84no—
496C22×C3—84no—
497C22×C3—1216no—
498C22×C3#100412yes—
499C22×C3D3×#4114yes—
500C22×C3C2×C3×#4114yes—
501C22×C3C3×H(5,𝔽2)12yes—
502C22×C3C24×D311yescharacteristic
503C22×C3C25×C311yescharacteristic
504C2×D3—24no—
505C2×D3—24no—
506C2×D3—216no—
507C2×D3—416no—
508C2×D3C2×C3×#4118yes—
509C3×C4—24no—
510C3×C4—24no—
511C3×C4—22no—
512C3×C4—24no—
513C3×C4—24no—
514C3×C4—24no—
515C3×C4—22no—
516C3×C4—44no—
517C3×C4—44no—
518C3×C4—64no—
519C3×C4—64no—
520C3×C4—64no—
521Dic3—24no—
522Dic3—24no—
523Dic3—24no—
524C32C2×#55111yescharacteristic, complemented, Sylow
525C23—22no—
526C23—22no—
527C23—24no—
528C23—24no—
529C23—38no—
530C23—34no—
531C23—616no—
532C23—64no—
533C23—64no—
534C23—124no—
535C23—1216no—
536C23C23×C3×D312yes—
537C23C23×C3×D312yes—
538C23C23×C3×D311yescharacteristic
539Q8—44no—
540D4—44no—
541D4—616no—
542C2×C4—24no—
543C2×C4—22no—
544C2×C4—24no—
545C2×C4—34no—
546C2×C4—34no—
547C2×C4—34no—
548C2×C4—616no—
549C2×C4—64no—
550C2×C4—64no—
551C2×C4—64no—
552C2×C4—128no—
553C2×C4—124no—
554C2×C4C23×C3×D314yes—
555C2×C4C23×C3×D312yes—
556C2×C4C23×C3×D314yes—
557C2×C3—21no—
558C2×C3—22no—
559C2×C3—24no—
560C2×C3—42no—
561C2×C3—42no—
562C2×C3—42no—
563C2×C3—42no—
564C2×C3—68no—
565C2×C3—82no—
566C2×C3—82no—
567C2×C3#567914yesdirect product factor
568C2×C3C3×#55114yescomplemented
569C2×C3C2×#100411yescharacteristic
570C2×C3C2×D3×#4112yes—
571C2×C3C22×C3×#4112yes—
572C2×C3C2×C3×H(5,𝔽2)11yescharacteristic
573D3—28no—
574C22—22no—
575C22—22no—
576C22—24no—
577C22—24no—
578C22—38no—
579C22—44no—
580C22—44no—
581C22—64no—
582C22—64no—
583C22—616no—
584C22—1216no—
585C22C3×#100412yes—
586C22C3×D3×#4114yes—
587C22C24×C3×D311yescharacteristic
588C4—24no—
589C4—22no—
590C4—24no—
591C4—64no—
592C4—64no—
593C4—64no—
594C3—21no—
595C3C2×#567911yescharacteristic, direct product factor
596C3C2×C3×#55111yescharacteristic, complemented
597C2—42no—
598C2—42no—
599C2—68no—
600C2C3×#567914yesdirect product factor
601C2C2×C3×#100411yescharacteristic
602C2C2×C3×D3×#4112yes—
subgroupG/H
centerC23×C3C23×D3
commutator, cosocleC22×C3C25×C3
FrattiniC22C24×C3×D3
FittingC2×C32×#124C2
socleC23×C32C24
prime radicalC2×C3×#937C2
hypercenterC2×C3×#124D3
hypocenterC3C2×C3×#551
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23×C3 ◁ C2×C3×#124

Complements

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

NH ≅ G/Ntype
1. C2×C32×#124C2semidirect
2. C2×C3×#946C2semidirect
4. C2×C3×#935C2semidirect
5. C3×#5679C2direct (N × H)
6. C2×C3×#883C2semidirect
7. C2×C3×#67⋊C4C2semidirect
8. C2×C3×D3×C22⋊C4C2semidirect
9. C2×C3×#879C2semidirect
10. C2×C3×#872C2semidirect
12. C2×#5679C3direct (N × H)
14. C22×C32×Q8C22semidirect
17. C23×C3×Dic3C22semidirect
20. C32×#124C22semidirect
22. C2×C32×C22⋊C4C22semidirect
23. C2×C32×C42C22semidirect
26. C2×C3×#217C22semidirect
27. C3×#946C22semidirect
29. C3×#935C22semidirect
33. C2×C3×C4⋊Dic3C22semidirect
34. C2×C3×Dic3⋊C4C22semidirect
35. C2×C3×Dic3⋊C4C22semidirect
36. C2×C3×Dic3⋊C4C22semidirect
37. C2×C3×C4×Dic3C22semidirect
38. C3×#883C22semidirect
39. C3×#67⋊C4C22semidirect
40. C3×D3×C22⋊C4C22semidirect
41. C3×#879C22semidirect
42. C3×#872C22semidirect
46. C2×C3×#124D3semidirect
47. C2×C3×#124C2×C3semidirect
55. C2×#946C2×C3semidirect
57. C2×#935C2×C3semidirect
58. #5679C2×C3direct (N × H)
59. C2×#883C2×C3semidirect
60. C2×#67⋊C4C2×C3semidirect
61. C2×D3×C22⋊C4C2×C3semidirect
62. C2×#879C2×C3semidirect
63. C2×#872C2×C3semidirect
71. C2×C32×Q8C23semidirect
83. C22×C3×Dic3C23semidirect
89. C32×C22⋊C4C23semidirect
90. C32×C42C23semidirect
93. C3×#217C23semidirect
97. C3×C4⋊Dic3C23semidirect
98. C3×Dic3⋊C4C23semidirect
99. C3×Dic3⋊C4C23semidirect
100. C3×Dic3⋊C4C23semidirect
101. C3×C4×Dic3C23semidirect
106. C22×C3×Q8C2×D3semidirect
107. C22×C3×Q8C22×C3semidirect
116. C23×Dic3C22×C3semidirect
121. C3×#124C2×D3semidirect
122. C3×#124C22×C3semidirect
143. C2×C3×C22⋊C4C2×D3semidirect
145. C2×C3×C22⋊C4C22×C3semidirect
148. C2×C3×C42C2×D3semidirect
149. C2×C3×C42C22×C3semidirect
152. C2×#217C22×C3semidirect
153. #946C22×C3semidirect
155. #935C22×C3semidirect
159. C2×C4⋊Dic3C22×C3semidirect
160. C2×Dic3⋊C4C22×C3semidirect
161. C2×Dic3⋊C4C22×C3semidirect
162. C2×Dic3⋊C4C22×C3semidirect
163. C2×C4×Dic3C22×C3semidirect
164. #883C22×C3semidirect
165. #67⋊C4C22×C3semidirect
166. D3×C22⋊C4C22×C3semidirect
167. #879C22×C3semidirect
168. #872C22×C3semidirect
203. C2×#124C3×D3semidirect
229. C2×C3×Q8C22×D3semidirect
230. C2×C3×Q8C23×C3semidirect
263. C22×Dic3C23×C3semidirect
281. C3×C22⋊C4C22×D3semidirect
283. C3×C22⋊C4C23×C3semidirect
286. C3×C42C22×D3semidirect
287. C3×C42C23×C3semidirect
290. #217C23×C3semidirect
294. C4⋊Dic3C23×C3semidirect
295. Dic3⋊C4C23×C3semidirect
296. Dic3⋊C4C23×C3semidirect
297. Dic3⋊C4C23×C3semidirect
298. C4×Dic3C23×C3semidirect
320. C22×Q8C2×C3×D3semidirect
327. #124C2×C3×D3semidirect
346. C2×C22⋊C4C2×C3×D3semidirect
348. C2×C42C2×C3×D3semidirect
430. C2×C32#551semidirect
441. C2×Q8C22×C3×D3semidirect
469. C22⋊C4C22×C3×D3semidirect
471. C42C22×C3×D3semidirect
524. C32C2×#551semidirect
567. C2×C3#5679direct (N × H)
568. C2×C3C3×#551semidirect
595. C3C2×#5679direct (N × H)
596. C3C2×C3×#551semidirect
600. C2C3×#5679direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C32×#1242
C2×C3×#9462
C2×C3×#9372
C2×C3×#9352
C3×#56792
C2×C3×#8832
C2×C3×#67⋊C42
C2×C3×D3×C22⋊C42
C2×C3×#8792
C2×C3×#8722
C2×C3×#5513
C2×#56793