Finite Group Databasebeta

← C2×C3×#5011 #11859205

Subgroups — C2×C3×#5011 #11859205

Order 1152.

1341 conjugacy classes of subgroups.

The subgroup lattice has 566 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×C4×D4C211yesmaximal, characteristic
2C22×C3×#208C211yesmaximal, characteristic, complemented
3C23×C3×C3⋊C8C211yesmaximal, characteristic, complemented
4C2×C3×#830C211yesmaximal, characteristic, complemented
5C2×C3×#830C211yesmaximal, characteristic, complemented
6C3×#5011C218yesmaximal, direct product factor
7C2×C3×C4⋊(C3⋊C8)C211yesmaximal, characteristic, complemented
8C2×C3×#803C211yesmaximal, characteristic, complemented
9C2×C3×#435—31nomaximal
10C2×#5011C311yesmaximal, characteristic, direct product factor
11C22×C32×D4C411yescharacteristic
12C23×C32×C4C2211yescharacteristic
13C23×C32×C4C2211yescharacteristic
14C32×C4×D4C414yes—
15C32×C4×D4C2214yes—
16C2×C32×C4⋊C4C411yescharacteristic
17C2×C32×C22⋊C4C411yescharacteristic
18C2×C32×C22⋊C4C411yescharacteristic
19C2×C32×C42C2211yescharacteristic
20C2×C3×#208—24no—
21C2×C3×#208C2214yescomplemented
22C22×C3×C3⋊C8—24no—
23C22×C3×C3⋊C8C2211yescharacteristic
24C22×C3×C3⋊C8C2211yescharacteristic
25C22×C3×C3⋊C8C2211yescharacteristic
26C22×C3×C3⋊C8C2211yescharacteristic
27C22×C3×C3⋊C8C2214yescomplemented
28C3×#830C2214yescomplemented
29C3×#830C2214yescomplemented
30C3×C4⋊(C3⋊C8)C2214yescomplemented
31C3×#803C2214yescomplemented
32C22×C3×M16—31no—
33C23×C3×C8—31no—
34C2×C3×C4×D4—21no—
35C2×C3×C4×D4D311yescharacteristic
36C2×C3×C4×D4C2×C311yescharacteristic
37C22×#208C2×C311yescharacteristic, complemented
38C23×C3⋊C8C2×C311yescharacteristic, complemented
39C3×#435—38no—
40C2×C3×C4⋊C8—31no—
41C2×C3×C22⋊C8—31no—
42C2×C3×C22⋊C8—31no—
43C2×C3×#97—31no—
44C2×#830C2×C311yescharacteristic, complemented
45C2×#830C2×C311yescharacteristic, complemented
46#5011C2×C318yesdirect product factor
47C2×C4⋊(C3⋊C8)C2×C311yescharacteristic, complemented
48C2×#803C2×C311yescharacteristic, complemented
49C24×C32C2×C411yescharacteristic
50C24×C32C2×C411yescharacteristic
51C2×C32×D4—24no—
52C2×C32×D4C2×C414yes—
53C22×C32×C4—22no—
54C22×C32×C4—22no—
55C22×C32×C4—22no—
56C22×C32×C4—22no—
57C22×C32×C4C2×C411yescharacteristic
58C22×C32×C4C2×C411yescharacteristic
59C22×C32×C4C2×C412yes—
60C22×C32×C4C2×C412yes—
61C22×C32×C4C2×C411yescharacteristic
62C22×C32×C4C2×C411yescharacteristic
63C22×C32×C4C2312yes—
64C22×C32×C4C2312yes—
65C22×C32×C4C2311yescharacteristic
66C32×C4⋊C4C2×C414yes—
67C32×C22⋊C4C2×C414yes—
68C32×C22⋊C4C2×C414yes—
69C32×C42C2×C412yes—
70C32×C42C2312yes—
71C3×#208—28no—
72C2×C3×C3⋊C8—22no—
73C2×C3×C3⋊C8—22no—
74C2×C3×C3⋊C8—22no—
75C2×C3×C3⋊C8—28no—
76C2×C3×C3⋊C8D414yescomplemented
77C2×C3×C3⋊C8C2312yes—
78C2×C3×C3⋊C8C2312yes—
79C2×C3×C3⋊C8C2312yes—
80C2×C3×C3⋊C8C2312yes—
81C2×#435—31noSylow
82C22×C3×D4—21no—
83C22×C3×D4Dic311yescharacteristic
84C22×C3×D4C3×C411yescharacteristic
85C23×C3×C4—21no—
86C23×C3×C4—21no—
87C23×C3×C4C2×D311yescharacteristic
88C23×C3×C4C2×D311yescharacteristic
89C23×C3×C4C22×C311yescharacteristic
90C23×C3×C4C22×C311yescharacteristic
91C2×C3×M16—34no—
92C2×C3×M16—64no—
93C22×C3×C8—31no—
94C22×C3×C8—34no—
95C22×C3×C8—31no—
96C22×C3×C8—31no—
97C22×C3×C8—31no—
98C22×C3×C8—64no—
99C3×C4×D4—24no—
100C3×C4×D4—24no—
101C3×C4×D4Dic314yes—
102C3×C4×D4C3×C414yes—
103C3×C4×D4C2×D314yes—
104C3×C4×D4C22×C314yes—
105C2×C3×C4⋊C4—21no—
106C2×C3×C4⋊C4Dic311yescharacteristic
107C2×C3×C4⋊C4C3×C411yescharacteristic
108C2×C3×C22⋊C4—21no—
109C2×C3×C22⋊C4—21no—
110C2×C3×C22⋊C4Dic311yescharacteristic
111C2×C3×C22⋊C4Dic311yescharacteristic
112C2×C3×C22⋊C4C3×C411yescharacteristic
113C2×C3×C22⋊C4C3×C411yescharacteristic
114C2×C3×C42—21no—
115C2×C3×C42C2×D311yescharacteristic
116C2×C3×C42C22×C311yescharacteristic
117C2×#208—24no—
118C2×#208C22×C314yescomplemented
119C22×C3⋊C8—24no—
120C22×C3⋊C8C22×C311yescharacteristic
121C22×C3⋊C8C22×C311yescharacteristic
122C22×C3⋊C8C22×C311yescharacteristic
123C22×C3⋊C8C22×C311yescharacteristic
124C22×C3⋊C8C22×C314yescomplemented
125C3×C4⋊C8—34no—
126C3×C22⋊C8—34no—
127C3×C22⋊C8—34no—
128C3×#97—34no—
129#830C22×C314yescomplemented
130#830C22×C314yescomplemented
131C4⋊(C3⋊C8)C22×C314yescomplemented
132#803C22×C314yescomplemented
133C23×C32—22no—
134C23×C32—22no—
135C23×C32—22no—
136C23×C32—22no—
137C23×C32—22no—
138C23×C32M1614yescomplemented
139C23×C32C22×C412yes—
140C23×C32C22×C412yes—
141C23×C32C22×C411yescharacteristic
142C32×D4—28no—
143C2×C32×C4—22no—
144C2×C32×C4—22no—
145C2×C32×C4—22no—
146C2×C32×C4—22no—
147C2×C32×C4—24no—
148C2×C32×C4—24no—
149C2×C32×C4—22no—
150C2×C32×C4—22no—
151C2×C32×C4—22no—
152C2×C32×C4—22no—
153C2×C32×C4C22×C412yes—
154C2×C32×C4C22×C412yes—
155C2×C32×C4C22×C412yes—
156C2×C32×C4C22×C412yes—
157C2×C32×C4C22×C411yescharacteristic
158C2×C32×C4C2×D412yes—
159C2×C32×C4#4112yes—
160C2×C32×C4C2411yescharacteristic
161C3×C3⋊C8—22no—
162C3×C3⋊C8—22no—
163C3×C3⋊C8—22no—
164C3×C3⋊C8C2×D414yescomplemented
165C22×M16—31no—
166C23×C8—31no—
167C2×C4×D4C3×D311yescharacteristic
168#435—38no—
169C2×C4⋊C8—31no—
170C2×C22⋊C8—31no—
171C2×C22⋊C8—31no—
172C2×#97—31no—
173C24×C3—21no—
174C24×C3—21no—
175C24×C3C2×Dic311yescharacteristic
176C24×C3C2×Dic311yescharacteristic
177C24×C3C2×C3×C411yescharacteristic
178C24×C3C2×C3×C411yescharacteristic
179C2×C3×D4—28no—
180C2×C3×D4—24no—
181C2×C3×D4—24no—
182C2×C3×D4—24no—
183C2×C3×D4C2×Dic314yes—
184C2×C3×D4C2×C3×C414yes—
185C22×C3×C4—22no—
186C22×C3×C4—22no—
187C22×C3×C4—22no—
188C22×C3×C4—22no—
189C22×C3×C4—22no—
190C22×C3×C4—22no—
191C22×C3×C4—22no—
192C22×C3×C4—22no—
193C22×C3×C4—21no—
194C22×C3×C4—21no—
195C22×C3×C4—21no—
196C22×C3×C4—21no—
197C22×C3×C4—22no—
198C22×C3×C4—22no—
199C22×C3×C4—21no—
200C22×C3×C4—22no—
201C22×C3×C4—22no—
202C22×C3×C4—42no—
203C22×C3×C4—42no—
204C22×C3×C4—42no—
205C22×C3×C4—42no—
206C22×C3×C4C2×Dic311yescharacteristic
207C22×C3×C4C2×Dic311yescharacteristic
208C22×C3×C4C2×Dic311yescharacteristic
209C22×C3×C4C2×Dic311yescharacteristic
210C22×C3×C4C2×Dic312yes—
211C22×C3×C4C2×Dic312yes—
212C22×C3×C4C2×C3×C411yescharacteristic
213C22×C3×C4C2×C3×C411yescharacteristic
214C22×C3×C4C2×C3×C411yescharacteristic
215C22×C3×C4C2×C3×C411yescharacteristic
216C22×C3×C4C2×C3×C412yes—
217C22×C3×C4C2×C3×C412yes—
218C22×C3×C4C22×D312yes—
219C22×C3×C4C22×D312yes—
220C22×C3×C4C22×D311yescharacteristic
221C22×C3×C4C23×C312yes—
222C22×C3×C4C23×C312yes—
223C22×C3×C4C23×C311yescharacteristic
224C3×M16—68no—
225C2×C3×C8—34no—
226C2×C3×C8—32no—
227C2×C3×C8—32no—
228C2×C3×C8—32no—
229C2×C3×C8—32no—
230C2×C3×C8—68no—
231C2×C3×C8—62no—
232C2×C3×C8—62no—
233C2×C3×C8—62no—
234C3×C4⋊C4—24no—
235C3×C4⋊C4C2×Dic314yes—
236C3×C4⋊C4C2×C3×C414yes—
237C3×C22⋊C4—24no—
238C3×C22⋊C4—24no—
239C3×C22⋊C4C2×Dic314yes—
240C3×C22⋊C4C2×Dic314yes—
241C3×C22⋊C4C2×C3×C414yes—
242C3×C22⋊C4C2×C3×C414yes—
243C3×C42—22no—
244C3×C42—22no—
245C3×C42C2×Dic312yes—
246C3×C42C2×C3×C412yes—
247C3×C42C22×D312yes—
248C3×C42C23×C312yes—
249#208—28no—
250C2×C3⋊C8—22no—
251C2×C3⋊C8—22no—
252C2×C3⋊C8—22no—
253C2×C3⋊C8—28no—
254C2×C3⋊C8C3×D414yescomplemented
255C2×C3⋊C8C23×C312yes—
256C2×C3⋊C8C23×C312yes—
257C2×C3⋊C8C23×C312yes—
258C2×C3⋊C8C23×C312yes—
259C22×C32—22no—
260C22×C32—22no—
261C22×C32—22no—
262C22×C32—28no—
263C22×C32—22no—
264C22×C32—22no—
265C22×C32—44no—
266C22×C32C4×D412yes—
267C22×C32C2×M1612yes—
268C22×C32C2×M1614yescomplemented
269C22×C32#13112yes—
270C22×C32C23×C411yescharacteristic
271C32×C4—22no—
272C32×C4—22no—
273C32×C4—22no—
274C32×C4—22no—
275C32×C4C4×D412yes—
276C32×C4C22×D411yescharacteristic
277C32×C4C2×#4111yescharacteristic
278C22×D4C3×Dic311yescharacteristic
279C23×C4C2×C3×D311yescharacteristic
280C23×C4C2×C3×D311yescharacteristic
281C2×M16—34no—
282C2×M16—64no—
283C22×C8—31no—
284C22×C8—31no—
285C22×C8—34no—
286C22×C8—31no—
287C22×C8—31no—
288C22×C8—64no—
289C4×D4C3×Dic314yes—
290C4×D4C2×C3×D314yes—
291C2×C4⋊C4C3×Dic311yescharacteristic
292C2×C22⋊C4C3×Dic311yescharacteristic
293C2×C22⋊C4C3×Dic311yescharacteristic
294C2×C42C2×C3×D311yescharacteristic
295C4⋊C8—34no—
296C22⋊C8—34no—
297C22⋊C8—34no—
298#97—34no—
299C23×C3—22no—
300C23×C3—22no—
301C23×C3—22no—
302C23×C3—22no—
303C23×C3—24no—
304C23×C3—22no—
305C23×C3—22no—
306C23×C3—22no—
307C23×C3—22no—
308C23×C3—22no—
309C23×C3—22no—
310C23×C3—24no—
311C23×C3—21no—
312C23×C3—22no—
313C23×C3—22no—
314C23×C3—42no—
315C23×C3—42no—
316C23×C3—42no—
317C23×C3—42no—
318C23×C3#20814yescomplemented
319C23×C3C3×M1614yescomplemented
320C23×C3C22×Dic312yes—
321C23×C3C22×Dic312yes—
322C23×C3C22×Dic311yescharacteristic
323C23×C3C22×C3×C412yes—
324C23×C3C22×C3×C412yes—
325C23×C3C22×C3×C411yescharacteristic
326C3×D4—216no—
327C3×D4—28no—
328C3×D4—28no—
329C2×C3×C4—24no—
330C2×C3×C4—22no—
331C2×C3×C4—22no—
332C2×C3×C4—22no—
333C2×C3×C4—22no—
334C2×C3×C4—22no—
335C2×C3×C4—22no—
336C2×C3×C4—22no—
337C2×C3×C4—22no—
338C2×C3×C4—24no—
339C2×C3×C4—24no—
340C2×C3×C4—24no—
341C2×C3×C4—24no—
342C2×C3×C4—22no—
343C2×C3×C4—22no—
344C2×C3×C4—22no—
345C2×C3×C4—22no—
346C2×C3×C4—22no—
347C2×C3×C4—22no—
348C2×C3×C4—22no—
349C2×C3×C4—22no—
350C2×C3×C4—21no—
351C2×C3×C4—22no—
352C2×C3×C4—22no—
353C2×C3×C4—22no—
354C2×C3×C4—21no—
355C2×C3×C4—22no—
356C2×C3×C4—22no—
357C2×C3×C4—22no—
358C2×C3×C4—44no—
359C2×C3×C4—44no—
360C2×C3×C4—42no—
361C2×C3×C4—42no—
362C2×C3×C4—42no—
363C2×C3×C4—42no—
364C2×C3×C4—42no—
365C2×C3×C4—42no—
366C2×C3×C4—42no—
367C2×C3×C4D3×D412yes—
368C2×C3×C4#23712yes—
369C2×C3×C4C22×Dic312yes—
370C2×C3×C4C22×Dic312yes—
371C2×C3×C4C22×Dic312yes—
372C2×C3×C4C22×Dic312yes—
373C2×C3×C4C22×Dic311yescharacteristic
374C2×C3×C4C22×C3×C412yes—
375C2×C3×C4C22×C3×C412yes—
376C2×C3×C4C22×C3×C412yes—
377C2×C3×C4C22×C3×C412yes—
378C2×C3×C4C22×C3×C411yescharacteristic
379C2×C3×C4C2×C3×D412yes—
380C2×C3×C4C3×#4112yes—
381C2×C3×C4C23×D311yescharacteristic
382C2×C3×C4C24×C311yescharacteristic
383C3×C8—34no—
384C3×C8—62no—
385C3×C8—62no—
386C3×C8—62no—
387C3⋊C8—22no—
388C3⋊C8—22no—
389C3⋊C8—22no—
390C3⋊C8C2×C3×D414yescomplemented
391C2×C32—24no—
392C2×C32—42no—
393C2×C32#43514yescomplemented
394C2×C32C2×C4×D411yescharacteristic
395C2×C32C22×M1611yescharacteristic
396C2×C32C2×#13111yescharacteristic
397C24C2×C3×Dic311yescharacteristic
398C24C2×C3×Dic311yescharacteristic
399C2×D4—24no—
400C2×D4C2×C3×Dic314yes—
401C22×C4—22no—
402C22×C4—22no—
403C22×C4—22no—
404C22×C4—22no—
405C22×C4C2×C3×Dic311yescharacteristic
406C22×C4C2×C3×Dic311yescharacteristic
407C22×C4C2×C3×Dic311yescharacteristic
408C22×C4C2×C3×Dic311yescharacteristic
409C22×C4C2×C3×Dic312yes—
410C22×C4C2×C3×Dic312yes—
411C22×C4C22×C3×D312yes—
412C22×C4C22×C3×D312yes—
413C22×C4C22×C3×D311yescharacteristic
414M16—68no—
415C2×C8—32no—
416C2×C8—34no—
417C2×C8—32no—
418C2×C8—32no—
419C2×C8—32no—
420C2×C8—68no—
421C2×C8—62no—
422C2×C8—62no—
423C2×C8—62no—
424C4⋊C4C2×C3×Dic314yes—
425C22⋊C4C2×C3×Dic314yes—
426C22⋊C4C2×C3×Dic314yes—
427C42C2×C3×Dic312yes—
428C42C22×C3×D312yes—
429C22×C3—22no—
430C22×C3—28no—
431C22×C3—22no—
432C22×C3—22no—
433C22×C3—28no—
434C22×C3—22no—
435C22×C3—24no—
436C22×C3—22no—
437C22×C3—22no—
438C22×C3—22no—
439C22×C3—22no—
440C22×C3—22no—
441C22×C3—22no—
442C22×C3—22no—
443C22×C3—24no—
444C22×C3—22no—
445C22×C3—22no—
446C22×C3—21no—
447C22×C3—42no—
448C22×C3—42no—
449C22×C3—42no—
450C22×C3—48no—
451C22×C3—42no—
452C22×C3—48no—
453C22×C3—44no—
454C22×C3—44no—
455C22×C3C2×#20812yes—
456C22×C3C2×#20814yescomplemented
457C22×C3D4×Dic312yes—
458C22×C3#94812yes—
459C22×C3C3×C4×D412yes—
460C22×C3C2×C3×M1612yes—
461C22×C3C2×C3×M1614yescomplemented
462C22×C3C3×#13112yes—
463C22×C3C23×Dic311yescharacteristic
464C22×C3C23×C3×C411yescharacteristic
465C3×C4—24no—
466C3×C4—22no—
467C3×C4—22no—
468C3×C4—22no—
469C3×C4—22no—
470C3×C4—22no—
471C3×C4—22no—
472C3×C4—22no—
473C3×C4—22no—
474C3×C4—22no—
475C3×C4—21no—
476C3×C4—21no—
477C3×C4—42no—
478C3×C4—42no—
479C3×C4—42no—
480C3×C4D4×Dic312yes—
481C3×C4C3×C4×D412yes—
482C3×C4C2×D3×D411yescharacteristic
483C3×C4C2×#23711yescharacteristic
484C3×C4C22×C3×D411yescharacteristic
485C3×C4C2×C3×#4111yescharacteristic
486C32C2×#43511yescharacteristic, complemented, Sylow
487C23—22no—
488C23—22no—
489C23—22no—
490C23—22no—
491C23—22no—
492C23C3×#20814yescomplemented
493C23C22×C3×Dic312yes—
494C23C22×C3×Dic312yes—
495C23C22×C3×Dic311yescharacteristic
496D4—28no—
497C2×C4—22no—
498C2×C4—22no—
499C2×C4—22no—
500C2×C4—22no—
501C2×C4—24no—
502C2×C4—24no—
503C2×C4—22no—
504C2×C4—22no—
505C2×C4—22no—
506C2×C4—22no—
507C2×C4C3×D3×D412yes—
508C2×C4C3×#23712yes—
509C2×C4C22×C3×Dic312yes—
510C2×C4C22×C3×Dic312yes—
511C2×C4C22×C3×Dic312yes—
512C2×C4C22×C3×Dic312yes—
513C2×C4C22×C3×Dic311yescharacteristic
514C2×C4C23×C3×D311yescharacteristic
515C8—34no—
516C8—62no—
517C8—62no—
518C8—62no—
519C2×C3—24no—
520C2×C3—24no—
521C2×C3—21no—
522C2×C3—21no—
523C2×C3—21no—
524C2×C3—24no—
525C2×C3—44no—
526C2×C3—44no—
527C2×C3—42no—
528C2×C3—42no—
529C2×C3#501114yesdirect product factor
530C2×C3C3×#43514yescomplemented
531C2×C3C22×#20811yescharacteristic
532C2×C3C2×D4×Dic311yescharacteristic
533C2×C3C2×#94811yescharacteristic
534C2×C3C2×C3×C4×D411yescharacteristic
535C2×C3C22×C3×M1611yescharacteristic
536C2×C3C2×C3×#13111yescharacteristic
537C22—22no—
538C22—22no—
539C22—28no—
540C22—22no—
541C22—22no—
542C22—22no—
543C22—44no—
544C22C2×C3×#20812yes—
545C22C2×C3×#20814yescomplemented
546C22C3×D4×Dic312yes—
547C22C3×#94812yes—
548C22C23×C3×Dic311yescharacteristic
549C4—22no—
550C4—22no—
551C4—22no—
552C4—22no—
553C4C3×D4×Dic312yes—
554C4C2×C3×D3×D411yescharacteristic
555C4C2×C3×#23711yescharacteristic
556C3—21no—
557C3C2×#501111yescharacteristic, direct product factor
558C3C2×C3×#43511yescharacteristic, complemented
559C2—24no—
560C2—42no—
561C2C3×#501114yesdirect product factor
562C2C22×C3×#20811yescharacteristic
563C2C2×C3×D4×Dic311yescharacteristic
564C2C2×C3×#94811yescharacteristic
subgroupG/H
centerC22×C3×C4C22×D3
commutatorC22×C3C23×C3×C4
FrattiniC2×C4C23×C3×D3
FittingC2×C32×C4×D4C2
socleC23×C32C22×C4
prime radicalC22×C32×D4C4
cosocleC2×C3×C4C24×C3
hypercenterC2×C3×C4×D4D3
hypocenterC3C2×C3×#435
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C22×C3×C4 ◁ C2×C3×C4×D4

Complements

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

NH ≅ G/Ntype
2. C22×C3×#208C2semidirect
3. C23×C3×C3⋊C8C2semidirect
4. C2×C3×#830C2semidirect
5. C2×C3×#830C2semidirect
6. C3×#5011C2direct (N × H)
7. C2×C3×C4⋊(C3⋊C8)C2semidirect
8. C2×C3×#803C2semidirect
10. C2×#5011C3direct (N × H)
21. C2×C3×#208C22semidirect
27. C22×C3×C3⋊C8C22semidirect
28. C3×#830C22semidirect
29. C3×#830C22semidirect
30. C3×C4⋊(C3⋊C8)C22semidirect
31. C3×#803C22semidirect
37. C22×#208C2×C3semidirect
38. C23×C3⋊C8C2×C3semidirect
44. C2×#830C2×C3semidirect
45. C2×#830C2×C3semidirect
46. #5011C2×C3direct (N × H)
47. C2×C4⋊(C3⋊C8)C2×C3semidirect
48. C2×#803C2×C3semidirect
76. C2×C3×C3⋊C8D4semidirect
118. C2×#208C22×C3semidirect
124. C22×C3⋊C8C22×C3semidirect
129. #830C22×C3semidirect
130. #830C22×C3semidirect
131. C4⋊(C3⋊C8)C22×C3semidirect
132. #803C22×C3semidirect
138. C23×C32M16semidirect
164. C3×C3⋊C8C2×D4semidirect
254. C2×C3⋊C8C3×D4semidirect
268. C22×C32C2×M16semidirect
318. C23×C3#208semidirect
319. C23×C3C3×M16semidirect
390. C3⋊C8C2×C3×D4semidirect
393. C2×C32#435semidirect
456. C22×C3C2×#208semidirect
461. C22×C3C2×C3×M16semidirect
486. C32C2×#435semidirect
492. C23C3×#208semidirect
529. C2×C3#5011direct (N × H)
530. C2×C3C3×#435semidirect
545. C22C2×C3×#208semidirect
557. C3C2×#5011direct (N × H)
558. C3C2×C3×#435semidirect
561. C2C3×#5011direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C32×C4×D42
C22×C3×#2082
C23×C3×C3⋊C82
C2×C3×#8302
C3×#50112
C2×C3×C4⋊(C3⋊C8)2
C2×C3×#8032
C2×C3×#4353
C2×#50113