Finite Group Databasebeta

← D3×#120×C11⋊C5 #72217543

Subgroups — D3×#120×C11⋊C5 #72217543

Order 10560.

2648 conjugacy classes of subgroups.

The subgroup lattice has 496 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D3×C11×#120C511yesmaximal, characteristic, complemented, Hall
2C11⋊C5×#882C213yesmaximal, complemented
3C11⋊C5×#937C213yesmaximal, complemented
4C11⋊C5×#953C211yesmaximal, characteristic, complemented
5C3×#120×C11⋊C5C211yesmaximal, characteristic, complemented
6C24×D3×C11⋊C5C211yesmaximal, characteristic, complemented
7D3×C22⋊C4×C11⋊C5C213yesmaximal, complemented
8C24×C3×C11⋊C5C2211yescharacteristic, complemented
9(C2×D3)⋊C4×C11⋊C5C2216yescomplemented
10#217×C11⋊C5C2213yescomplemented
11C3×C22⋊C4×C11⋊C5C2213yescomplemented
12C2×D3×D4×C11⋊C5C213yesmaximal, complemented
13C2×#67×C11⋊C5C2213yescomplemented
14C2×#67×C11⋊C5C2213yescomplemented
15C2×D12×C11⋊C5C2213yescomplemented
16C2×C3×D4×C11⋊C5C2213yescomplemented
17D3×D4×C11⋊C5—212no—
18C2×C4×D3×C11⋊C5C2213yescomplemented
19C23×D3×C11⋊C5—212no—
20C23×D3×C11⋊C5C2213yes—
21C23×D3×C11⋊C5C2213yescomplemented
22C23×D3×C11⋊C5C2211yescharacteristic, complemented
23C2×#120×C11⋊C5—31nomaximal, Hall
24C25×C11⋊C5—31no—
25C22×D4×C11⋊C5—33no—
26#120×C11⋊C5—31no—
27#120×C11⋊C5—33no—
28#120×C11⋊C5—33no—
29#120×C11⋊C5D311yescharacteristic, direct product factor
30C2×C22⋊C4×C11⋊C5—33no—
31C23×C3×C11⋊C5—26no—
32C23×C3×C11⋊C5C2313yes—
33C23×C3×C11⋊C5C2311yescharacteristic, complemented
34C22×D3×C11⋊C5—232no—
35C22×D3×C11⋊C5—26no—
36C22×D3×C11⋊C5—212no—
37C22×D3×C11⋊C5—212no—
38C22×D3×C11⋊C5—26no—
39C22×D3×C11⋊C5D4112yescomplemented
40C22×D3×C11⋊C5C2313yes—
41C22×D3×C11⋊C5C2311yescharacteristic
42C22×D3×C11⋊C5C2311yescharacteristic, complemented
43C3×D4×C11⋊C5—26no—
44C2×C3×C4×C11⋊C5C2313yescomplemented
45#67×C11⋊C5—26no—
46#67×C11⋊C5—26no—
47C2×Dic3×C11⋊C5C2313yescomplemented
48D12×C11⋊C5—26no—
49C4×D3×C11⋊C5—26no—
50C24×D3×C11C2×C511yescharacteristic, complemented
51C2×D3×D4×C11C2×C513yescomplemented
52C3×C11×#120C2×C511yescharacteristic, complemented
53C11×#953C2×C511yescharacteristic, complemented
54C11×#937C2×C513yescomplemented
55C11×#882C2×C513yescomplemented
56D3×C11×C22⋊C4C2×C513yescomplemented
57C5×D3×#120—111nomaximal, Hall
58C24×C11⋊C5—33no—
59C24×C11⋊C5—33no—
60C24×C11⋊C5—31no—
61C24×C11⋊C5—612no—
62C24×C11⋊C5C2×D311yescharacteristic, complemented
63C2×D4×C11⋊C5—33no—
64C2×D4×C11⋊C5—33no—
65C2×D4×C11⋊C5—33no—
66C2×D4×C11⋊C5—612no—
67C2×D4×C11⋊C5C2×D313yescomplemented
68C22×C4×C11⋊C5—33no—
69C22⋊C4×C11⋊C5—33no—
70C22⋊C4×C11⋊C5—36no—
71C22⋊C4×C11⋊C5C2×D313yescomplemented
72C2×C11×#120—31noHall
73C22×C3×C11⋊C5—28no—
74C22×C3×C11⋊C5—26no—
75C22×C3×C11⋊C5—23no—
76C22×C3×C11⋊C5C2×D416yescomplemented
77C22×C3×C11⋊C5C2411yescharacteristic
78C2×D3×C11⋊C5—224no—
79C2×D3×C11⋊C5—26no—
80C2×D3×C11⋊C5—224no—
81C2×D3×C11⋊C5—23no—
82C2×D3×C11⋊C5—44no—
83C2×D3×C11⋊C5C2×D416yes—
84C2×D3×C11⋊C5C2×D416yescomplemented
85C3×C4×C11⋊C5—23no—
86Dic3×C11⋊C5—23no—
87C24×C3×C11C22×C511yescharacteristic, complemented
88C23×D3×C11—212no—
89C23×D3×C11C22×C513yes—
90C23×D3×C11C22×C513yescomplemented
91C23×D3×C11C22×C511yescharacteristic, complemented
92C2×C3×D4×C11C22×C513yescomplemented
93C2×C11×#67C22×C513yescomplemented
94C2×C11×#67C22×C513yescomplemented
95D3×D4×C11—212no—
96C2×C11×D12C22×C513yescomplemented
97C2×C4×D3×C11C22×C513yescomplemented
98C3×C11×C22⋊C4C22×C513yescomplemented
99C11×#217C22×C513yescomplemented
100C11×(C2×D3)⋊C4C22×C516yescomplemented
101C24×C5×D3—111no—
102C2×C5×D3×D4—113no—
103C3×C5×#120—111no—
104C5×#953—111no—
105C5×#937—113no—
106C5×#882—113no—
107C5×D3×C22⋊C4—113no—
108C23×C11⋊C5—26no—
109C23×C11⋊C5—31no—
110C23×C11⋊C5—312no—
111C23×C11⋊C5—33no—
112C23×C11⋊C5—31no—
113C23×C11⋊C5—612no—
114C23×C11⋊C5—612no—
115C23×C11⋊C5—66no—
116C23×C11⋊C5—632no—
117C23×C11⋊C5—66no—
118C23×C11⋊C5C22×D313yes—
119C23×C11⋊C5C22×D311yescharacteristic, complemented
120D4×C11⋊C5—26no—
121D4×C11⋊C5—66no—
122D4×C11⋊C5—66no—
123D4×C11⋊C5—66no—
124C2×C4×C11⋊C5—33no—
125C2×C4×C11⋊C5—66no—
126C2×C4×C11⋊C5C22×D313yescomplemented
127C25×C11—31no—
128C22×D4×C11—33no—
129C11×#120—31no—
130C11×#120—33no—
131C11×#120—33no—
132C11×#120C5×D311yescharacteristic, complemented
133C2×C11×C22⋊C4—33no—
134C2×C3×C11⋊C5—26no—
135C2×C3×C11⋊C5—41no—
136C2×C3×C11⋊C5C22×D413yes—
137D3×C11⋊C5—26no—
138D3×C11⋊C5—41no—
139D3×C11⋊C5#12014yesdirect product factor
140C2×C5×#120—331noHall
141C23×C3×C11—26no—
142C23×C3×C11C23×C513yes—
143C23×C3×C11C23×C511yescharacteristic, complemented
144C22×D3×C11—232no—
145C22×D3×C11—26no—
146C22×D3×C11—212no—
147C22×D3×C11—212no—
148C22×D3×C11—26no—
149C22×D3×C11C5×D4112yescomplemented
150C22×D3×C11C23×C513yes—
151C22×D3×C11C23×C511yescharacteristic
152C22×D3×C11C23×C511yescharacteristic, complemented
153C3×D4×C11—26no—
154C2×C3×C4×C11C23×C513yescomplemented
155C11×#67—26no—
156C11×#67—26no—
157C2×C11×Dic3C23×C513yescomplemented
158C11×D12—26no—
159C4×D3×C11—26no—
160C24×C3×C5—111no—
161C23×C5×D3—113no—
162C23×C5×D3—113no—
163C23×C5×D3—111no—
164C23×C5×D3—2212no—
165C2×C3×C5×D4—113no—
166C2×C5×#67—113no—
167C2×C5×#67—113no—
168C5×D3×D4—2212no—
169C2×C5×D12—113no—
170C2×C4×C5×D3—113no—
171C3×C5×C22⋊C4—113no—
172C5×#217—113no—
173C5×(C2×D3)⋊C4—116no—
174C22×C11⋊C5—28no—
175C22×C11⋊C5—26no—
176C22×C11⋊C5—23no—
177C22×C11⋊C5—36no—
178C22×C11⋊C5—36no—
179C22×C11⋊C5—624no—
180C22×C11⋊C5—624no—
181C22×C11⋊C5—66no—
182C22×C11⋊C5—63no—
183C22×C11⋊C5—124no—
184C22×C11⋊C5D3×D416yescomplemented
185C22×C11⋊C5C23×D311yescharacteristic
186C4×C11⋊C5—23no—
187C4×C11⋊C5—63no—
188D3×#120C11⋊C511yescharacteristic, direct product factor, Hall
189C24×C11—33no—
190C24×C11—33no—
191C24×C11—31no—
192C24×C11—612no—
193C24×C11C2×C5×D311yescharacteristic, complemented
194C2×D4×C11—33no—
195C2×D4×C11—33no—
196C2×D4×C11—33no—
197C2×D4×C11—612no—
198C2×D4×C11C2×C5×D313yescomplemented
199C22×C4×C11—33no—
200C11×C22⋊C4—33no—
201C11×C22⋊C4—36no—
202C11×C22⋊C4C2×C5×D313yescomplemented
203C3×C11⋊C5C2×#12011yescharacteristic, complemented, Hall
204C25×C5—331no—
205C22×C5×D4—333no—
206C5×#120—111no—
207C5×#120—333no—
208C5×#120—333no—
209C5×#120—331no—
210C2×C5×C22⋊C4—333no—
211C22×C3×C11—28no—
212C22×C3×C11—26no—
213C22×C3×C11—23no—
214C22×C3×C11C2×C5×D416yescomplemented
215C22×C3×C11C24×C511yescharacteristic
216C2×D3×C11—224no—
217C2×D3×C11—26no—
218C2×D3×C11—224no—
219C2×D3×C11—23no—
220C2×D3×C11—44no—
221C2×D3×C11C2×C5×D416yes—
222C2×D3×C11C2×C5×D416yescomplemented
223C3×C4×C11—23no—
224C11×Dic3—23no—
225C23×C3×C5—113no—
226C23×C3×C5—111no—
227C23×C3×C5—226no—
228C22×C5×D3—111no—
229C22×C5×D3—1112no—
230C22×C5×D3—113no—
231C22×C5×D3—111no—
232C22×C5×D3—2212no—
233C22×C5×D3—2212no—
234C22×C5×D3—226no—
235C22×C5×D3—226no—
236C22×C5×D3—2232no—
237C3×C5×D4—226no—
238C2×C3×C4×C5—113no—
239C5×#67—226no—
240C5×#67—226no—
241C2×C5×Dic3—113no—
242C5×D12—226no—
243C4×C5×D3—226no—
244C2×C11⋊C5—26no—
245C2×C11⋊C5—34no—
246C2×C11⋊C5—41no—
247C2×C11⋊C5—66no—
248C2×C11⋊C5—121no—
249C2×C11⋊C5C2×D3×D413yes—
250C24×D3C2×C11⋊C511yescharacteristic, complemented
251C2×D3×D4C2×C11⋊C513yescomplemented
252C3×#120C2×C11⋊C511yescharacteristic, complemented
253#953C2×C11⋊C511yescharacteristic, complemented
254#937C2×C11⋊C513yescomplemented
255#882C2×C11⋊C513yescomplemented
256D3×C22⋊C4C2×C11⋊C513yescomplemented
257C23×C11—26no—
258C23×C11—31no—
259C23×C11—312no—
260C23×C11—33no—
261C23×C11—31no—
262C23×C11—612no—
263C23×C11—612no—
264C23×C11—66no—
265C23×C11—632no—
266C23×C11—66no—
267C23×C11C22×C5×D313yes—
268C23×C11C22×C5×D311yescharacteristic, complemented
269D4×C11—26no—
270D4×C11—66no—
271D4×C11—66no—
272D4×C11—66no—
273C2×C4×C11—33no—
274C2×C4×C11—66no—
275C2×C4×C11C22×C5×D313yescomplemented
276C24×C5—111no—
277C24×C5—333no—
278C24×C5—333no—
279C24×C5—331no—
280C24×C5—6612no—
281C2×C5×D4—113no—
282C2×C5×D4—333no—
283C2×C5×D4—333no—
284C2×C5×D4—333no—
285C2×C5×D4—6612no—
286C22×C4×C5—333no—
287C5×C22⋊C4—113no—
288C5×C22⋊C4—336no—
289C5×C22⋊C4—333no—
290C2×C3×C11—26no—
291C2×C3×C11—41no—
292C2×C3×C11C22×C5×D413yes—
293D3×C11—26no—
294D3×C11—41no—
295D3×C11C5×#12014yescomplemented
296C2×#120—31noSylow
297C22×C3×C5—116no—
298C22×C3×C5—111no—
299C22×C3×C5—226no—
300C22×C3×C5—223no—
301C22×C3×C5—228no—
302C2×C5×D3—116no—
303C2×C5×D3—116no—
304C2×C5×D3—2224no—
305C2×C5×D3—226no—
306C2×C5×D3—2224no—
307C2×C5×D3—223no—
308C2×C5×D3—444no—
309C3×C4×C5—223no—
310C5×Dic3—223no—
311C11⋊C5D3×#12011yescharacteristic, direct product factor, Hall
312C24×C3C22×C11⋊C511yescharacteristic, complemented
313C23×D3—212no—
314C23×D3C22×C11⋊C513yes—
315C23×D3C22×C11⋊C513yescomplemented
316C23×D3C22×C11⋊C511yescharacteristic, complemented
317C2×C3×D4C22×C11⋊C513yescomplemented
318C2×#67C22×C11⋊C513yescomplemented
319C2×#67C22×C11⋊C513yescomplemented
320D3×D4—212no—
321C2×D12C22×C11⋊C513yescomplemented
322C2×C4×D3C22×C11⋊C513yescomplemented
323C3×C22⋊C4C22×C11⋊C513yescomplemented
324#217C22×C11⋊C513yescomplemented
325(C2×D3)⋊C4C22×C11⋊C516yescomplemented
326C22×C11—28no—
327C22×C11—26no—
328C22×C11—23no—
329C22×C11—36no—
330C22×C11—36no—
331C22×C11—624no—
332C22×C11—624no—
333C22×C11—66no—
334C22×C11—63no—
335C22×C11—124no—
336C22×C11C5×D3×D416yescomplemented
337C22×C11C23×C5×D311yescharacteristic
338C4×C11—23no—
339C4×C11—63no—
340C23×C5—113no—
341C23×C5—111no—
342C23×C5—226no—
343C23×C5—331no—
344C23×C5—333no—
345C23×C5—3312no—
346C23×C5—331no—
347C23×C5—666no—
348C23×C5—6612no—
349C23×C5—6612no—
350C23×C5—666no—
351C23×C5—6632no—
352C5×D4—226no—
353C5×D4—666no—
354C5×D4—666no—
355C5×D4—666no—
356C2×C4×C5—113no—
357C2×C4×C5—333no—
358C2×C4×C5—666no—
359C3×C11C2×C5×#12011yescharacteristic, complemented, Hall
360C25—31no—
361C22×D4—33no—
362#120—31no—
363#120—33no—
364#120—33no—
365#120D3×C11⋊C511yescharacteristic, direct product factor
366C2×C22⋊C4—33no—
367C2×C3×C5—113no—
368C2×C3×C5—226no—
369C2×C3×C5—441no—
370C5×D3—114no—
371C5×D3—226no—
372C5×D3—441no—
373C23×C3—26no—
374C23×C3C23×C11⋊C513yes—
375C23×C3C23×C11⋊C511yescharacteristic, complemented
376C22×D3—232no—
377C22×D3—26no—
378C22×D3—212no—
379C22×D3—212no—
380C22×D3—26no—
381C22×D3D4×C11⋊C5112yescomplemented
382C22×D3C23×C11⋊C513yes—
383C22×D3C23×C11⋊C511yescharacteristic
384C22×D3C23×C11⋊C511yescharacteristic, complemented
385C3×D4—26no—
386C2×C3×C4C23×C11⋊C513yescomplemented
387#67—26no—
388#67—26no—
389C2×Dic3C23×C11⋊C513yescomplemented
390D12—26no—
391C4×D3—26no—
392C2×C11—26no—
393C2×C11—34no—
394C2×C11—41no—
395C2×C11—66no—
396C2×C11—121no—
397C2×C11C2×C5×D3×D413yes—
398C22×C5—111no—
399C22×C5—116no—
400C22×C5—226no—
401C22×C5—223no—
402C22×C5—228no—
403C22×C5—336no—
404C22×C5—336no—
405C22×C5—666no—
406C22×C5—663no—
407C22×C5—6624no—
408C22×C5—6624no—
409C22×C5—1324no—
410C4×C5—223no—
411C4×C5—663no—
412C24—33no—
413C24—33no—
414C24—31no—
415C24—612no—
416C24C2×D3×C11⋊C511yescharacteristic, complemented
417C2×D4—33no—
418C2×D4—33no—
419C2×D4—33no—
420C2×D4—612no—
421C2×D4C2×D3×C11⋊C513yescomplemented
422C22×C4—33no—
423C22⋊C4—33no—
424C22⋊C4—36no—
425C22⋊C4C2×D3×C11⋊C513yescomplemented
426C3×C5—111noHall
427C22×C3—28no—
428C22×C3—26no—
429C22×C3—23no—
430C22×C3C2×D4×C11⋊C516yescomplemented
431C22×C3C24×C11⋊C511yescharacteristic
432C2×D3—224no—
433C2×D3—26no—
434C2×D3—224no—
435C2×D3—23no—
436C2×D3—44no—
437C2×D3C2×D4×C11⋊C516yes—
438C2×D3C2×D4×C11⋊C516yescomplemented
439C3×C4—23no—
440Dic3—23no—
441C11C5×D3×#12011yescharacteristic, complemented, Sylow
442C2×C5—113no—
443C2×C5—226no—
444C2×C5—334no—
445C2×C5—441no—
446C2×C5—666no—
447C2×C5—1321no—
448C23—26no—
449C23—31no—
450C23—33no—
451C23—312no—
452C23—31no—
453C23—612no—
454C23—612no—
455C23—66no—
456C23—632no—
457C23—66no—
458C23C22×D3×C11⋊C513yes—
459C23C22×D3×C11⋊C511yescharacteristic, complemented
460D4—26no—
461D4—66no—
462D4—66no—
463D4—66no—
464C2×C4—33no—
465C2×C4—66no—
466C2×C4C22×D3×C11⋊C513yescomplemented
467C2×C3—26no—
468C2×C3—41no—
469C2×C3C22×D4×C11⋊C513yes—
470D3—26no—
471D3—41no—
472D3#120×C11⋊C514yesdirect product factor
473C5—111noSylow
474C22—28no—
475C22—26no—
476C22—23no—
477C22—36no—
478C22—36no—
479C22—624no—
480C22—624no—
481C22—66no—
482C22—63no—
483C22—124no—
484C22C23×D3×C11⋊C511yescharacteristic
485C22D3×D4×C11⋊C516yescomplemented
486C4—23no—
487C4—63no—
488C3C2×#120×C11⋊C511yescharacteristic, complemented, Sylow
489C2—26no—
490C2—34no—
491C2—41no—
492C2—66no—
493C2—121no—
494C2C2×D3×D4×C11⋊C513yes—
subgroupG/H
center, FrattiniC22C23×D3×C11⋊C5
commutator, socle, cosocleC22×C3×C11C24×C5
FittingC3×C11×#120C2×C5
hypercenter#120D3×C11⋊C5
hypocenterC3×C11C2×C5×#120
LCSG ▷ C22×C3×C11 ▷ C3×C11
UCSC1 ◁ C22 ◁ #120

Complements

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

NH ≅ G/Ntype
1. D3×C11×#120C5semidirect
2. C11⋊C5×#882C2semidirect
3. C11⋊C5×#937C2semidirect
4. C11⋊C5×#953C2semidirect
5. C3×#120×C11⋊C5C2semidirect
6. C24×D3×C11⋊C5C2semidirect
7. D3×C22⋊C4×C11⋊C5C2semidirect
8. C24×C3×C11⋊C5C22semidirect
9. (C2×D3)⋊C4×C11⋊C5C22semidirect
10. #217×C11⋊C5C22semidirect
11. C3×C22⋊C4×C11⋊C5C22semidirect
12. C2×D3×D4×C11⋊C5C2semidirect
13. C2×#67×C11⋊C5C22semidirect
14. C2×#67×C11⋊C5C22semidirect
15. C2×D12×C11⋊C5C22semidirect
16. C2×C3×D4×C11⋊C5C22semidirect
18. C2×C4×D3×C11⋊C5C22semidirect
21. C23×D3×C11⋊C5C22semidirect
22. C23×D3×C11⋊C5C22semidirect
29. #120×C11⋊C5D3direct (N × H)
33. C23×C3×C11⋊C5C23semidirect
39. C22×D3×C11⋊C5D4semidirect
42. C22×D3×C11⋊C5C23semidirect
44. C2×C3×C4×C11⋊C5C23semidirect
47. C2×Dic3×C11⋊C5C23semidirect
50. C24×D3×C11C2×C5semidirect
51. C2×D3×D4×C11C2×C5semidirect
52. C3×C11×#120C2×C5semidirect
53. C11×#953C2×C5semidirect
54. C11×#937C2×C5semidirect
55. C11×#882C2×C5semidirect
56. D3×C11×C22⋊C4C2×C5semidirect
62. C24×C11⋊C5C2×D3semidirect
67. C2×D4×C11⋊C5C2×D3semidirect
71. C22⋊C4×C11⋊C5C2×D3semidirect
76. C22×C3×C11⋊C5C2×D4semidirect
84. C2×D3×C11⋊C5C2×D4semidirect
87. C24×C3×C11C22×C5semidirect
90. C23×D3×C11C22×C5semidirect
91. C23×D3×C11C22×C5semidirect
92. C2×C3×D4×C11C22×C5semidirect
93. C2×C11×#67C22×C5semidirect
94. C2×C11×#67C22×C5semidirect
96. C2×C11×D12C22×C5semidirect
97. C2×C4×D3×C11C22×C5semidirect
98. C3×C11×C22⋊C4C22×C5semidirect
99. C11×#217C22×C5semidirect
100. C11×(C2×D3)⋊C4C22×C5semidirect
119. C23×C11⋊C5C22×D3semidirect
126. C2×C4×C11⋊C5C22×D3semidirect
132. C11×#120C5×D3semidirect
139. D3×C11⋊C5#120direct (N × H)
143. C23×C3×C11C23×C5semidirect
149. C22×D3×C11C5×D4semidirect
152. C22×D3×C11C23×C5semidirect
154. C2×C3×C4×C11C23×C5semidirect
157. C2×C11×Dic3C23×C5semidirect
184. C22×C11⋊C5D3×D4semidirect
188. D3×#120C11⋊C5direct (N × H)
193. C24×C11C2×C5×D3semidirect
198. C2×D4×C11C2×C5×D3semidirect
202. C11×C22⋊C4C2×C5×D3semidirect
203. C3×C11⋊C5C2×#120semidirect
214. C22×C3×C11C2×C5×D4semidirect
222. C2×D3×C11C2×C5×D4semidirect
250. C24×D3C2×C11⋊C5semidirect
251. C2×D3×D4C2×C11⋊C5semidirect
252. C3×#120C2×C11⋊C5semidirect
253. #953C2×C11⋊C5semidirect
254. #937C2×C11⋊C5semidirect
255. #882C2×C11⋊C5semidirect
256. D3×C22⋊C4C2×C11⋊C5semidirect
268. C23×C11C22×C5×D3semidirect
275. C2×C4×C11C22×C5×D3semidirect
295. D3×C11C5×#120semidirect
311. C11⋊C5D3×#120direct (N × H)
312. C24×C3C22×C11⋊C5semidirect
315. C23×D3C22×C11⋊C5semidirect
316. C23×D3C22×C11⋊C5semidirect
317. C2×C3×D4C22×C11⋊C5semidirect
318. C2×#67C22×C11⋊C5semidirect
319. C2×#67C22×C11⋊C5semidirect
321. C2×D12C22×C11⋊C5semidirect
322. C2×C4×D3C22×C11⋊C5semidirect
323. C3×C22⋊C4C22×C11⋊C5semidirect
324. #217C22×C11⋊C5semidirect
325. (C2×D3)⋊C4C22×C11⋊C5semidirect
336. C22×C11C5×D3×D4semidirect
359. C3×C11C2×C5×#120semidirect
365. #120D3×C11⋊C5direct (N × H)
375. C23×C3C23×C11⋊C5semidirect
381. C22×D3D4×C11⋊C5semidirect
384. C22×D3C23×C11⋊C5semidirect
386. C2×C3×C4C23×C11⋊C5semidirect
389. C2×Dic3C23×C11⋊C5semidirect
416. C24C2×D3×C11⋊C5semidirect
421. C2×D4C2×D3×C11⋊C5semidirect
425. C22⋊C4C2×D3×C11⋊C5semidirect
430. C22×C3C2×D4×C11⋊C5semidirect
438. C2×D3C2×D4×C11⋊C5semidirect
441. C11C5×D3×#120semidirect
459. C23C22×D3×C11⋊C5semidirect
466. C2×C4C22×D3×C11⋊C5semidirect
472. D3#120×C11⋊C5direct (N × H)
485. C22D3×D4×C11⋊C5semidirect
488. C3C2×#120×C11⋊C5semidirect

Maximal subgroups

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

subgroupindex
D3×C11×#1205
C11⋊C5×#8822
C11⋊C5×#9372
C11⋊C5×#9532
C3×#120×C11⋊C52
C24×D3×C11⋊C52
D3×C22⋊C4×C11⋊C52
C2×D3×D4×C11⋊C52
C2×#120×C11⋊C53
C5×D3×#12011