Finite Group Databasebeta

← C2×C3×#5964 #11919255

Subgroups — C2×C3×#5964 #11919255

Order 1152.

12357 conjugacy classes of subgroups.

The subgroup lattice has 494 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C32×#41C211yesmaximal, characteristic, complemented
2C3×#5964C2132yesmaximal, direct product factor
3C2×C3×#1010C214yesmaximal, complemented
4C2×C3×#1009C214yesmaximal, complemented
5C2×C3×D3×#41C218yesmaximal, complemented
6C2×C3×#1007C212yesmaximal, complemented
7C2×C3×#1004C216yesmaximal, complemented
8C22×C3×#235C216yesmaximal, complemented
9C2×C3×#585—31nomaximal
10C2×#5964C311yesmaximal, characteristic, direct product factor
11C2×C32×#41C2214yescomplemented
12C2×C32×#41C2214yescomplemented
13C2×C32×#41C22116yescomplemented
14C22×C32×Q8C2211yescharacteristic, complemented
15C22×C32×D4C2213yescomplemented
16C23×C32×C4C2213yescomplemented
17C22×C3×#67C22112yescomplemented
18C3×#1010C22164yescomplemented
19C3×#1009C22164yescomplemented
20C3×D3×#41C221128yescomplemented
21C3×#1007C22132yescomplemented
22C2×C3×#239C2218yescomplemented
23C2×C3×D3×Q8C2218yescomplemented
24C3×#1004C22196yescomplemented
25C2×C3×#237C22124yescomplemented
26C2×C3×D3×D4C22124yescomplemented
27C2×C3×#235C2214yescomplemented
28C2×C3×#235C22112yescomplemented
29C2×C3×#235C22112yescomplemented
30C2×C3×#235C22112yescomplemented
31C2×C3×#235C22196yescomplemented
32C22×C3×D12C2216yescomplemented
33C22×C3×C4×D3C22112yescomplemented
34C22×C3×Dic6C2216yescomplemented
35C3×#585—332no—
36C2×C3×2−1+4—34no—
37C2×C3×2−1+4—32no—
38C2×C3×H(5,𝔽2)—34no—
39C2×C3×H(5,𝔽2)—36no—
40C22×C3×#41—21no—
41C22×C3×#41—38no—
42C22×C3×#41—36no—
43C22×C3×#41D311yescharacteristic, complemented
44C22×C3×#41C2×C311yescharacteristic, complemented
45#5964C2×C3132yesdirect product factor
46C2×#1010C2×C314yescomplemented
47C2×#1009C2×C314yescomplemented
48C2×D3×#41C2×C318yescomplemented
49C2×#1007C2×C312yescomplemented
50C2×#1004C2×C316yescomplemented
51C22×#235C2×C316yescomplemented
52C24×C32C2313yes—
53C23×C3×D3C23112yes—
54C32×#41C23132yescomplemented
55C32×#41C23132yescomplemented
56C2×C32×Q8C2314yes—
57C2×C32×Q8C2318yescomplemented
58C2×C32×D4C23112yes—
59C2×C32×D4C23124yescomplemented
60C22×C32×C4C2316yes—
61C22×C32×C4C2316yes—
62C22×C32×C4C2311yescharacteristic
63C22×C32×C4C2313yes—
64C22×C32×C4C23124yescomplemented
65C2×C3×#67C2318yes—
66C2×C3×#67C23124yes—
67C2×C3×#67C23196yescomplemented
68C22×C3×Dic3C23112yes—
69C3×#239C23164yescomplemented
70C3×D3×Q8C23164yescomplemented
71C3×#237C231192yescomplemented
72C3×D3×D4C231192yescomplemented
73C3×#235C23132yescomplemented
74C3×#235C23196yescomplemented
75C3×#235C23196yescomplemented
76C3×#235C23196yescomplemented
77C2×C3×D12C2314yes—
78C2×C3×D12C23112yes—
79C2×C3×D12C23148yescomplemented
80C2×C3×C4×D3C2318yes—
81C2×C3×C4×D3C23124yes—
82C2×C3×C4×D3C23196yescomplemented
83C2×C3×Dic6C2314yes—
84C2×C3×Dic6C23112yes—
85C2×C3×Dic6C23148yescomplemented
86C2×#585—31noSylow
87C3×2−1+4—364no—
88C3×2−1+4—332no—
89C3×H(5,𝔽2)—364no—
90C3×H(5,𝔽2)—396no—
91C2×C3×#41—24no—
92C2×C3×#41—24no—
93C2×C3×#41—216no—
94C2×C3×#41—3128no—
95C2×C3×#41—38no—
96C2×C3×#41—324no—
97C2×C3×#41—312no—
98C2×C3×#41—34no—
99C2×C3×#41—312no—
100C2×C3×#41—312no—
101C2×C3×#41—396no—
102C2×C3×#41C2×D314yescomplemented
103C2×C3×#41C2×D314yescomplemented
104C2×C3×#41C2×D3116yescomplemented
105C2×C3×#41C22×C314yescomplemented
106C2×C3×#41C22×C314yescomplemented
107C2×C3×#41C22×C3116yescomplemented
108C22×C3×Q8—21no—
109C22×C3×Q8—38no—
110C22×C3×Q8—36no—
111C22×C3×Q8C2×D311yescharacteristic, complemented
112C22×C3×Q8C22×C311yescharacteristic, complemented
113C22×C3×D4—23no—
114C22×C3×D4—312no—
115C22×C3×D4—324no—
116C22×C3×D4—36no—
117C22×C3×D4C2×D313yescomplemented
118C22×C3×D4C22×C313yescomplemented
119C23×C3×C4—23no—
120C23×C3×C4—312no—
121C23×C3×C4C2×D313yescomplemented
122C23×C3×C4C22×C313yescomplemented
123C22×#67C22×C3112yescomplemented
124#1010C22×C3164yescomplemented
125#1009C22×C3164yescomplemented
126D3×#41C22×C31128yescomplemented
127#1007C22×C3132yescomplemented
128C2×#239C22×C318yescomplemented
129C2×D3×Q8C22×C318yescomplemented
130#1004C22×C3196yescomplemented
131C2×#237C22×C3124yescomplemented
132C2×D3×D4C22×C3124yescomplemented
133C2×#235C22×C314yescomplemented
134C2×#235C22×C3112yescomplemented
135C2×#235C22×C3112yescomplemented
136C2×#235C22×C3112yescomplemented
137C2×#235C22×C3196yescomplemented
138C22×D12C22×C316yescomplemented
139C22×C4×D3C22×C3112yescomplemented
140C22×Dic6C22×C316yescomplemented
141C23×C32—46no—
142C23×C32C2416yes—
143C23×C32C2411yescharacteristic
144C23×C32C24112yes—
145C22×C3×D3—424no—
146C22×C3×D3C2418yes—
147C22×C3×D3C24148yes—
148C32×Q8C24116yes—
149C32×D4C24148yes—
150C2×C32×C4C2411yescharacteristic
151C2×C32×C4C2416yes—
152C2×C32×C4C24124yes—
153C2×C32×C4C24124yes—
154C2×C32×C4C2414yes—
155C2×C32×C4C24112yes—
156C2×C32×C4C2411yescharacteristic
157C3×#67C24132yes—
158C3×#67C24196yes—
159C2×C3×Dic3C2418yes—
160C2×C3×Dic3C24148yes—
161C3×D12C24116yes—
162C3×D12C24148yes—
163C3×C4×D3C24132yes—
164C3×C4×D3C24196yes—
165C3×Dic6C24116yes—
166C3×Dic6C24148yes—
167#585—332no—
168C2×2−1+4—34no—
169C2×2−1+4—32no—
170C2×H(5,𝔽2)—34no—
171C2×H(5,𝔽2)—36no—
172C22×#41—38no—
173C22×#41—36no—
174C22×#41C3×D311yescharacteristic, complemented
175C24×C3—23no—
176C24×C3—312no—
177C24×C3C22×D313yes—
178C24×C3C23×C313yes—
179C23×D3C23×C3112yes—
180C3×#41—232no—
181C3×#41—232no—
182C3×#41—364no—
183C3×#41—3192no—
184C3×#41—396no—
185C3×#41—332no—
186C3×#41—396no—
187C3×#41—396no—
188C3×#41C22×D3132yescomplemented
189C3×#41C22×D3132yescomplemented
190C3×#41C23×C3132yescomplemented
191C3×#41C23×C3132yescomplemented
192C2×C3×Q8—24no—
193C2×C3×Q8—28no—
194C2×C3×Q8—364no—
195C2×C3×Q8—312no—
196C2×C3×Q8—34no—
197C2×C3×Q8—348no—
198C2×C3×Q8C22×D314yes—
199C2×C3×Q8C22×D318yescomplemented
200C2×C3×Q8C23×C314yes—
201C2×C3×Q8C23×C318yescomplemented
202C2×C3×D4—212no—
203C2×C3×D4—224no—
204C2×C3×D4—324no—
205C2×C3×D4—38no—
206C2×C3×D4—396no—
207C2×C3×D4—3192no—
208C2×C3×D4—312no—
209C2×C3×D4—34no—
210C2×C3×D4—348no—
211C2×C3×D4C22×D3112yes—
212C2×C3×D4C22×D3124yescomplemented
213C2×C3×D4C23×C3112yes—
214C2×C3×D4C23×C3124yescomplemented
215C22×C3×C4—21no—
216C22×C3×C4—23no—
217C22×C3×C4—26no—
218C22×C3×C4—26no—
219C22×C3×C4—224no—
220C22×C3×C4—312no—
221C22×C3×C4—324no—
222C22×C3×C4—396no—
223C22×C3×C4—38no—
224C22×C3×C4C22×D316yes—
225C22×C3×C4C22×D313yes—
226C22×C3×C4C22×D316yes—
227C22×C3×C4C22×D311yescharacteristic
228C22×C3×C4C22×D3124yescomplemented
229C22×C3×C4C23×C316yes—
230C22×C3×C4C23×C316yes—
231C22×C3×C4C23×C311yescharacteristic
232C22×C3×C4C23×C313yes—
233C22×C3×C4C23×C3124yescomplemented
234C2×#67C23×C318yes—
235C2×#67C23×C3124yes—
236C2×#67C23×C3196yescomplemented
237C22×Dic3C23×C3112yes—
238#239C23×C3164yescomplemented
239D3×Q8C23×C3164yescomplemented
240#237C23×C31192yescomplemented
241D3×D4C23×C31192yescomplemented
242#235C23×C3132yescomplemented
243#235C23×C3196yescomplemented
244#235C23×C3196yescomplemented
245#235C23×C3196yescomplemented
246C2×D12C23×C314yes—
247C2×D12C23×C3112yes—
248C2×D12C23×C3148yescomplemented
249C2×C4×D3C23×C318yes—
250C2×C4×D3C23×C3124yes—
251C2×C4×D3C23×C3196yescomplemented
252C2×Dic6C23×C314yes—
253C2×Dic6C23×C3112yes—
254C2×Dic6C23×C3148yescomplemented
255C22×C32—22no—
256C22×C32—212no—
257C22×C32—412no—
258C22×C32C25112yes—
259C22×C32C2512yes—
260C22×C32C2511yescharacteristic
261C2×C3×D3—216no—
262C2×C3×D3—448no—
263C2×C3×D3C25116yes—
264C32×C4C2512yes—
265C32×C4C25112yes—
266C32×C4C2512yes—
267C3×Dic3C25116yes—
2682−1+4—364no—
2692−1+4—332no—
270H(5,𝔽2)—364no—
271H(5,𝔽2)—396no—
272C2×#41—3128no—
273C2×#41—38no—
274C2×#41—324no—
275C2×#41—312no—
276C2×#41—34no—
277C2×#41—312no—
278C2×#41—312no—
279C2×#41—396no—
280C2×#41C2×C3×D314yescomplemented
281C2×#41C2×C3×D314yescomplemented
282C2×#41C2×C3×D3116yescomplemented
283C22×Q8—38no—
284C22×Q8—36no—
285C22×Q8C2×C3×D311yescharacteristic, complemented
286C22×D4—312no—
287C22×D4—324no—
288C22×D4—36no—
289C22×D4C2×C3×D313yescomplemented
290C23×C4—312no—
291C23×C4C2×C3×D313yescomplemented
292C23×C3—21no—
293C23×C3—26no—
294C23×C3—212no—
295C23×C3—38no—
296C23×C3—348no—
297C23×C3—46no—
298C23×C3—46no—
299C23×C3—412no—
300C23×C3—1224no—
301C23×C3C23×D316yes—
302C23×C3C23×D311yescharacteristic
303C23×C3C23×D3112yes—
304C23×C3C24×C316yes—
305C23×C3C24×C311yescharacteristic
306C23×C3C24×C3112yes—
307C22×D3—424no—
308C22×D3C24×C318yes—
309C22×D3C24×C3148yes—
310C3×Q8—216no—
311C3×Q8—348no—
312C3×Q8—316no—
313C3×Q8C23×D3116yes—
314C3×Q8C24×C3116yes—
315C3×D4—248no—
316C3×D4—396no—
317C3×D4—332no—
318C3×D4—348no—
319C3×D4—316no—
320C3×D4C23×D3148yes—
321C3×D4C24×C3148yes—
322C2×C3×C4—21no—
323C2×C3×C4—21no—
324C2×C3×C4—24no—
325C2×C3×C4—26no—
326C2×C3×C4—212no—
327C2×C3×C4—224no—
328C2×C3×C4—224no—
329C2×C3×C4—38no—
330C2×C3×C4—348no—
331C2×C3×C4—332no—
332C2×C3×C4—396no—
333C2×C3×C4C23×D316yes—
334C2×C3×C4C23×D3124yes—
335C2×C3×C4C23×D311yescharacteristic
336C2×C3×C4C23×D314yes—
337C2×C3×C4C23×D3124yes—
338C2×C3×C4C23×D3112yes—
339C2×C3×C4C23×D311yescharacteristic
340C2×C3×C4C24×C311yescharacteristic
341C2×C3×C4C24×C316yes—
342C2×C3×C4C24×C3124yes—
343C2×C3×C4C24×C311yescharacteristic
344C2×C3×C4C24×C3124yes—
345C2×C3×C4C24×C314yes—
346C2×C3×C4C24×C3112yes—
347#67C24×C3132yes—
348#67C24×C3196yes—
349C2×Dic3C24×C318yes—
350C2×Dic3C24×C3148yes—
351D12C24×C3116yes—
352D12C24×C3148yes—
353C4×D3C24×C3132yes—
354C4×D3C24×C3196yes—
355Dic6C24×C3116yes—
356Dic6C24×C3148yes—
357C2×C32—22no—
358C2×C32—212no—
359C2×C32#58512yescomplemented
360C2×C32C2611yescharacteristic
361C3×D3—216no—
362C24—312no—
363C24C22×C3×D313yes—
364#41—364no—
365#41—3192no—
366#41—396no—
367#41—332no—
368#41—396no—
369#41—396no—
370#41C22×C3×D3132yescomplemented
371#41C22×C3×D3132yescomplemented
372C2×Q8—364no—
373C2×Q8—312no—
374C2×Q8—34no—
375C2×Q8—348no—
376C2×Q8C22×C3×D314yes—
377C2×Q8C22×C3×D318yescomplemented
378C2×D4—324no—
379C2×D4—38no—
380C2×D4—396no—
381C2×D4—3192no—
382C2×D4—312no—
383C2×D4—34no—
384C2×D4—348no—
385C2×D4C22×C3×D3112yes—
386C2×D4C22×C3×D3124yescomplemented
387C22×C4—312no—
388C22×C4—38no—
389C22×C4—324no—
390C22×C4—396no—
391C22×C4C22×C3×D316yes—
392C22×C4C22×C3×D311yescharacteristic
393C22×C4C22×C3×D316yes—
394C22×C4C22×C3×D313yes—
395C22×C4C22×C3×D3124yescomplemented
396C22×C3—24no—
397C22×C3—22no—
398C22×C3—212no—
399C22×C3—212no—
400C22×C3—22no—
401C22×C3—22no—
402C22×C3—21no—
403C22×C3—212no—
404C22×C3—316no—
405C22×C3—412no—
406C22×C3—412no—
407C22×C3—412no—
408C22×C3—424no—
409C22×C3—616no—
410C22×C3—1248no—
411C22×C3C24×D3112yes—
412C22×C3C24×D312yes—
413C22×C3C24×D311yescharacteristic
414C22×C3C25×C3112yes—
415C22×C3C25×C312yes—
416C22×C3C25×C311yescharacteristic
417C2×D3—216no—
418C2×D3—448no—
419C2×D3C25×C3116yes—
420C3×C4—22no—
421C3×C4—22no—
422C3×C4—212no—
423C3×C4—316no—
424C3×C4C24×D312yes—
425C3×C4C24×D3112yes—
426C3×C4C24×D312yes—
427C3×C4C25×C312yes—
428C3×C4C25×C3112yes—
429C3×C4C25×C312yes—
430Dic3C25×C3116yes—
431C32C2×#58511yescharacteristic, complemented, Sylow
432C23—38no—
433C23—348no—
434C23—46no—
435C23—1224no—
436C23C23×C3×D316yes—
437C23C23×C3×D311yescharacteristic
438C23C23×C3×D3112yes—
439Q8—348no—
440Q8—316no—
441Q8C23×C3×D3116yes—
442D4—396no—
443D4—332no—
444D4—348no—
445D4—316no—
446D4C23×C3×D3148yes—
447C2×C4—38no—
448C2×C4—348no—
449C2×C4—332no—
450C2×C4—396no—
451C2×C4C23×C3×D311yescharacteristic
452C2×C4C23×C3×D316yes—
453C2×C4C23×C3×D3124yes—
454C2×C4C23×C3×D311yescharacteristic
455C2×C4C23×C3×D314yes—
456C2×C4C23×C3×D3124yes—
457C2×C4C23×C3×D3112yes—
458C2×C3—24no—
459C2×C3—22no—
460C2×C3—212no—
461C2×C3—212no—
462C2×C3—22no—
463C2×C3—22no—
464C2×C3—21no—
465C2×C3—412no—
466C2×C3—616no—
467C2×C3#596412yesdirect product factor
468C2×C3C3×#58512yescomplemented
469C2×C3C25×D311yescharacteristic
470C2×C3C26×C311yescharacteristic
471D3—216no—
472C22—22no—
473C22—212no—
474C22—316no—
475C22—412no—
476C22—616no—
477C22—1248no—
478C22C24×C3×D3112yes—
479C22C24×C3×D312yes—
480C22C24×C3×D311yescharacteristic
481C4—316no—
482C4C24×C3×D312yes—
483C4C24×C3×D3112yes—
484C4C24×C3×D312yes—
485C3—21no—
486C3C2×#596411yescharacteristic, direct product factor
487C3C2×C3×#58511yescharacteristic, complemented
488C2—22no—
489C2—212no—
490C2—616no—
491C2C3×#596412yesdirect product factor
492C2C25×C3×D311yescharacteristic
subgroupG/H
centerC2×C3×C4C23×D3
commutator, cosocleC2×C3C26×C3
FrattiniC2C25×C3×D3
FittingC22×C32×#41C2
socleC22×C32C25
hypercenterC22×C3×#41D3
hypocenterC3C2×C3×#585
LCSG ▷ C2×C3 ▷ C3
UCSC1 ◁ C2×C3×C4 ◁ C22×C3×#41

Complements

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

NH ≅ G/Ntype
1. C22×C32×#41C2semidirect
2. C3×#5964C2direct (N × H)
3. C2×C3×#1010C2semidirect
4. C2×C3×#1009C2semidirect
5. C2×C3×D3×#41C2semidirect
6. C2×C3×#1007C2semidirect
7. C2×C3×#1004C2semidirect
8. C22×C3×#235C2semidirect
10. C2×#5964C3direct (N × H)
11. C2×C32×#41C22semidirect
12. C2×C32×#41C22semidirect
13. C2×C32×#41C22semidirect
14. C22×C32×Q8C22semidirect
15. C22×C32×D4C22semidirect
16. C23×C32×C4C22semidirect
17. C22×C3×#67C22semidirect
18. C3×#1010C22semidirect
19. C3×#1009C22semidirect
20. C3×D3×#41C22semidirect
21. C3×#1007C22semidirect
22. C2×C3×#239C22semidirect
23. C2×C3×D3×Q8C22semidirect
24. C3×#1004C22semidirect
25. C2×C3×#237C22semidirect
26. C2×C3×D3×D4C22semidirect
27. C2×C3×#235C22semidirect
28. C2×C3×#235C22semidirect
29. C2×C3×#235C22semidirect
30. C2×C3×#235C22semidirect
31. C2×C3×#235C22semidirect
32. C22×C3×D12C22semidirect
33. C22×C3×C4×D3C22semidirect
34. C22×C3×Dic6C22semidirect
43. C22×C3×#41D3semidirect
44. C22×C3×#41C2×C3semidirect
45. #5964C2×C3direct (N × H)
46. C2×#1010C2×C3semidirect
47. C2×#1009C2×C3semidirect
48. C2×D3×#41C2×C3semidirect
49. C2×#1007C2×C3semidirect
50. C2×#1004C2×C3semidirect
51. C22×#235C2×C3semidirect
54. C32×#41C23semidirect
55. C32×#41C23semidirect
57. C2×C32×Q8C23semidirect
59. C2×C32×D4C23semidirect
64. C22×C32×C4C23semidirect
67. C2×C3×#67C23semidirect
69. C3×#239C23semidirect
70. C3×D3×Q8C23semidirect
71. C3×#237C23semidirect
72. C3×D3×D4C23semidirect
73. C3×#235C23semidirect
74. C3×#235C23semidirect
75. C3×#235C23semidirect
76. C3×#235C23semidirect
79. C2×C3×D12C23semidirect
82. C2×C3×C4×D3C23semidirect
85. C2×C3×Dic6C23semidirect
102. C2×C3×#41C2×D3semidirect
103. C2×C3×#41C2×D3semidirect
104. C2×C3×#41C2×D3semidirect
105. C2×C3×#41C22×C3semidirect
106. C2×C3×#41C22×C3semidirect
107. C2×C3×#41C22×C3semidirect
111. C22×C3×Q8C2×D3semidirect
112. C22×C3×Q8C22×C3semidirect
117. C22×C3×D4C2×D3semidirect
118. C22×C3×D4C22×C3semidirect
121. C23×C3×C4C2×D3semidirect
122. C23×C3×C4C22×C3semidirect
123. C22×#67C22×C3semidirect
124. #1010C22×C3semidirect
125. #1009C22×C3semidirect
126. D3×#41C22×C3semidirect
127. #1007C22×C3semidirect
128. C2×#239C22×C3semidirect
129. C2×D3×Q8C22×C3semidirect
130. #1004C22×C3semidirect
131. C2×#237C22×C3semidirect
132. C2×D3×D4C22×C3semidirect
133. C2×#235C22×C3semidirect
134. C2×#235C22×C3semidirect
135. C2×#235C22×C3semidirect
136. C2×#235C22×C3semidirect
137. C2×#235C22×C3semidirect
138. C22×D12C22×C3semidirect
139. C22×C4×D3C22×C3semidirect
140. C22×Dic6C22×C3semidirect
174. C22×#41C3×D3semidirect
188. C3×#41C22×D3semidirect
189. C3×#41C22×D3semidirect
190. C3×#41C23×C3semidirect
191. C3×#41C23×C3semidirect
199. C2×C3×Q8C22×D3semidirect
201. C2×C3×Q8C23×C3semidirect
212. C2×C3×D4C22×D3semidirect
214. C2×C3×D4C23×C3semidirect
228. C22×C3×C4C22×D3semidirect
233. C22×C3×C4C23×C3semidirect
236. C2×#67C23×C3semidirect
238. #239C23×C3semidirect
239. D3×Q8C23×C3semidirect
240. #237C23×C3semidirect
241. D3×D4C23×C3semidirect
242. #235C23×C3semidirect
243. #235C23×C3semidirect
244. #235C23×C3semidirect
245. #235C23×C3semidirect
248. C2×D12C23×C3semidirect
251. C2×C4×D3C23×C3semidirect
254. C2×Dic6C23×C3semidirect
280. C2×#41C2×C3×D3semidirect
281. C2×#41C2×C3×D3semidirect
282. C2×#41C2×C3×D3semidirect
285. C22×Q8C2×C3×D3semidirect
289. C22×D4C2×C3×D3semidirect
291. C23×C4C2×C3×D3semidirect
359. C2×C32#585semidirect
370. #41C22×C3×D3semidirect
371. #41C22×C3×D3semidirect
377. C2×Q8C22×C3×D3semidirect
386. C2×D4C22×C3×D3semidirect
395. C22×C4C22×C3×D3semidirect
431. C32C2×#585semidirect
467. C2×C3#5964direct (N × H)
468. C2×C3C3×#585semidirect
486. C3C2×#5964direct (N × H)
487. C3C2×C3×#585semidirect
491. C2C3×#5964direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C32×#412
C3×#59642
C2×C3×#10102
C2×C3×#10092
C2×C3×D3×#412
C2×C3×#10072
C2×C3×#10042
C22×C3×#2352
C2×C3×#5853
C2×#59643