Finite Group Databasebeta

← #72230335

Subgroups — #72230335

Order 2880.

1548 conjugacy classes of subgroups.

The subgroup lattice has 540 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3⋊D3×AGL(1,𝔽5)C211yesmaximal, characteristic
2C2×C4×C3⋊ΓL(1,𝔽16)C211yesmaximal, characteristic, complemented
3C2×(C2×AGL(1,𝔽5))⋊(C3⋊D3)C211yesmaximal, characteristic
4C2×AGL(1,𝔽5)×C3⋊Dic3C211yesmaximal, characteristic, complemented
5D5×#3752C211yesmaximal, characteristic
6C32×(C2×AGL(1,𝔽5))⋊C4C211yesmaximal, characteristic, complemented
7(C2×AGL(1,𝔽5))⋊(C3⋊Dic3)C211yesmaximal, characteristic, complemented
8#11751931—34nomaximal
9C22×D5×C3⋊D3C2211yescharacteristic
10C22×C3⋊ΓL(1,𝔽16)C2211yescharacteristic
11C22×C3⋊ΓL(1,𝔽16)C2211yescharacteristic
12C22×C32×AGL(1,𝔽5)C2211yescharacteristic
13C22×C32×AGL(1,𝔽5)C2211yescharacteristic
14C2×C3⋊D3×AGL(1,𝔽5)—22no—
15C2×C3⋊D3×AGL(1,𝔽5)—22no—
16C2×C3⋊D3×AGL(1,𝔽5)C414yescomplemented
17C2×C32×C4×D5C2211yescharacteristic
18C2×D5×C3⋊Dic3C2211yescharacteristic
19C4×C3⋊ΓL(1,𝔽16)—22no—
20(C2×AGL(1,𝔽5))⋊(C3⋊D3)C414yescomplemented
21AGL(1,𝔽5)×C3⋊Dic3—22no—
22#10623908C411yescharacteristic, complemented
23C5×#3752C411yescharacteristic, complemented
24#10623772C411yescharacteristic, complemented
25#10623771C411yescharacteristic, complemented
26#10592365—51nomaximal, Hall
27C22×D3×AGL(1,𝔽5)—34no—
28C2×C4×ΓL(1,𝔽16)—34no—
29C2×(C2×D3)⋊AGL(1,𝔽5)—34no—
30C2×Dic3×AGL(1,𝔽5)—34no—
31D5×(C2×D3)⋊C4—34no—
32C3×(C2×AGL(1,𝔽5))⋊C4D314yescomplemented
33(C2×AGL(1,𝔽5))⋊Dic3—34no—
34C22×C3⋊D15C2×C411yescharacteristic
35C22×C5×C3⋊D3C2×C411yescharacteristic
36C22×C32×D5C2311yescharacteristic
37C2×D5×C3⋊D3—21no—
38C2×D5×C3⋊D3—21no—
39C2×D5×C3⋊D3—21no—
40C2×D5×C3⋊D3—21no—
41C2×D5×C3⋊D3C2×C412yes—
42C2×D5×C3⋊D3C2×C412yes—
43C2×C3⋊ΓL(1,𝔽16)—21no—
44C2×C3⋊ΓL(1,𝔽16)—21no—
45C2×C3⋊ΓL(1,𝔽16)C2×C412yes—
46C2×C3⋊ΓL(1,𝔽16)C2×C412yescomplemented
47C2×C3⋊ΓL(1,𝔽16)D412yes—
48C2×C3⋊ΓL(1,𝔽16)D412yes—
49C2×C32×AGL(1,𝔽5)—21no—
50C2×C32×AGL(1,𝔽5)—21no—
51C2×C32×AGL(1,𝔽5)—21no—
52C2×C32×AGL(1,𝔽5)—21no—
53C2×C32×AGL(1,𝔽5)C2×C412yes—
54C2×C32×AGL(1,𝔽5)C2×C412yescomplemented
55C3⋊D3×AGL(1,𝔽5)—28no—
56C2×C32×C4×C5C2×C411yescharacteristic, complemented
57C2×C3⋊Dic15C2×C411yescharacteristic, complemented
58C2×C5×C3⋊Dic3C2×C411yescharacteristic, complemented
59C2×C32×Dic5C2×C411yescharacteristic, complemented
60C32×C4×D5—21no—
61C32×C4×D5—21no—
62D5×C3⋊Dic3—21no—
63D5×C3⋊Dic3—21no—
64C22⋊C4×AGL(1,𝔽5)—91noHall
65C22×C4×C3⋊D3—51no—
66C2×#3752—51no—
67C2×#3752—51no—
68C2×C4×C3⋊Dic3—51no—
69C2×C4×C3⋊Dic3—51no—
70C32×#95—51no—
71#63658—51no—
72C22×D3×D5—34no—
73C22×ΓL(1,𝔽16)—34no—
74C22×ΓL(1,𝔽16)—34no—
75C22×C3×AGL(1,𝔽5)C2×D314yes—
76C22×C3×AGL(1,𝔽5)C2×D314yes—
77C2×D3×AGL(1,𝔽5)—316no—
78C2×D3×AGL(1,𝔽5)—68no—
79C2×D3×AGL(1,𝔽5)—68no—
80C2×C3×C4×D5C2×D314yes—
81C2×D5×Dic3—34no—
82C4×ΓL(1,𝔽16)—68no—
83(C2×D3)⋊AGL(1,𝔽5)—316no—
84Dic3×AGL(1,𝔽5)—68no—
85#6714—34no—
86C5×(C2×D3)⋊C4—34no—
87#6667—34no—
88(C2×D3)⋊Dic5—34no—
89#4666—154no—
90C22×C32×C5C22×C411yescharacteristic
91C2×C3⋊D15—21no—
92C2×C3⋊D15—21no—
93C2×C3⋊D15C4212yescomplemented
94C2×C5×C3⋊D3—21no—
95C2×C5×C3⋊D3—21no—
96C2×C5×C3⋊D3C4212yescomplemented
97C2×C32×D5C22×C411yescharacteristic
98C2×C32×D5C22×C411yescharacteristic
99C2×C32×D5C2×D411yescharacteristic
100C2×C32×D5C2×D411yescharacteristic
101C2×C32×D5#4111yescharacteristic
102C2×C32×D5#4111yescharacteristic
103D5×C3⋊D3—22no—
104D5×C3⋊D3—22no—
105D5×C3⋊D3—22no—
106D5×C3⋊D3—22no—
107C3⋊ΓL(1,𝔽16)—22no—
108C3⋊ΓL(1,𝔽16)C22⋊C414yescomplemented
109C32×AGL(1,𝔽5)—22no—
110C32×AGL(1,𝔽5)—22no—
111C32×C4×C5—21no—
112C3⋊Dic15—21no—
113C5×C3⋊Dic3—21no—
114C32×Dic5—21no—
115C23×AGL(1,𝔽5)—91no—
116C2×C22⋊AGL(1,𝔽5)—91no—
117C2×C4×AGL(1,𝔽5)—91no—
118C2×C4×AGL(1,𝔽5)—91no—
119D5×C22⋊C4—91no—
120(C2×AGL(1,𝔽5))⋊C4—91no—
121(C2×AGL(1,𝔽5))⋊C4C3⋊D311yescharacteristic, complemented
122C23×C3⋊D3—51no—
123C22×C32×C4—51no—
124C22×C32×C4—51no—
125C22×C32×C4—51no—
126C22×C3⋊Dic3—51no—
127C22×C3⋊Dic3—51no—
128C22×C3⋊Dic3—51no—
129C2×C4×C3⋊D3—54no—
130C2×C4×C3⋊D3—102no—
131C2×C4×C3⋊D3—102no—
132#3752—54no—
133#3752—51no—
134#3752—51no—
135#3752—51no—
136#3752AGL(1,𝔽5)11yescharacteristic, complemented
137C4×C3⋊Dic3—102no—
138C4×C3⋊Dic3—102no—
139C22×D15—34no—
140C22×C5×D3—34no—
141C22×C3×D5C22×D314yes—
142C2×D3×D5—38no—
143C2×D3×D5—38no—
144C2×D3×D5—64no—
145C2×D3×D5—64no—
146C2×D3×D5—64no—
147C2×D3×D5—64no—
148C2×ΓL(1,𝔽16)—38no—
149C2×ΓL(1,𝔽16)—38no—
150C2×ΓL(1,𝔽16)—38no—
151C2×ΓL(1,𝔽16)—38no—
152C2×ΓL(1,𝔽16)—64no—
153C2×ΓL(1,𝔽16)—64no—
154C2×C3×AGL(1,𝔽5)—24no—
155C2×C3×AGL(1,𝔽5)—24no—
156C2×C3×AGL(1,𝔽5)—24no—
157C2×C3×AGL(1,𝔽5)—24no—
158C2×C3×AGL(1,𝔽5)C4×D318yes—
159C2×C3×AGL(1,𝔽5)C4×D318yescomplemented
160D3×AGL(1,𝔽5)—632no—
161C2×C3×C4×C5C4×D314yescomplemented
162C2×Dic15—34no—
163C2×C5×Dic3—34no—
164C2×C3×Dic5C4×D314yescomplemented
165C3×C4×D5—24no—
166C3×C4×D5—24no—
167D5×Dic3—64no—
168D5×Dic3—64no—
169C22×C4×D3—154no—
170C2×(C2×D3)⋊C4—154no—
171C2×(C2×D3)⋊C4—154no—
172C2×C4×Dic3—154no—
173C2×C4×Dic3—154no—
174C3×#95—54no—
175C3⋊#95—154no—
176C2×C32×C5C2×C4211yescharacteristic
177C2×C32×C5C4×D411yescharacteristic
178C2×C32×C5C4×D411yescharacteristic
179C3⋊D15—22no—
180C5×C3⋊D3—22no—
181C32×D5C2×C22⋊C411yescharacteristic
182C32×D5#11711yescharacteristic
183C32×D5C4×D411yescharacteristic
184C32×D5C4×D411yescharacteristic
185C23×D5—91no—
186C22×AGL(1,𝔽5)—91no—
187C22×AGL(1,𝔽5)—91no—
188C22×AGL(1,𝔽5)—94no—
189C22×AGL(1,𝔽5)—182no—
190C22×AGL(1,𝔽5)—182no—
191C22×AGL(1,𝔽5)C2×C3⋊D311yescharacteristic
192C22×AGL(1,𝔽5)C2×C3⋊D311yescharacteristic
193C2×C4×D5—91no—
194C2×C4×D5C2×C3⋊D311yescharacteristic
195C22⋊AGL(1,𝔽5)—94no—
196C4×AGL(1,𝔽5)—182no—
197C4×AGL(1,𝔽5)—182no—
198C5×C22⋊C4—91no—
199C22⋊Dic5—91no—
200#685—91no—
201#685—91no—
202C23×C32—51no—
203C22×C3⋊D3—51no—
204C22×C3⋊D3—52no—
205C22×C3⋊D3—52no—
206C22×C3⋊D3—101no—
207C22×C3⋊D3—101no—
208C22×C3⋊D3—101no—
209C22×C3⋊D3—101no—
210C22×C3⋊D3C2×AGL(1,𝔽5)11yescharacteristic
211C2×C32×C4—52no—
212C2×C32×C4—52no—
213C2×C32×C4—51no—
214C2×C32×C4—101no—
215C2×C32×C4—101no—
216C2×C32×C4—101no—
217C2×C32×C4—101no—
218C2×C32×C4—101no—
219C2×C32×C4—101no—
220C2×C32×C4C2×AGL(1,𝔽5)11yescharacteristic, complemented
221C2×C3⋊Dic3—52no—
222C2×C3⋊Dic3—52no—
223C2×C3⋊Dic3—52no—
224C2×C3⋊Dic3—52no—
225C2×C3⋊Dic3—51no—
226C2×C3⋊Dic3—101no—
227C2×C3⋊Dic3—101no—
228C2×C3⋊Dic3—101no—
229C2×C3⋊Dic3—101no—
230C2×C3⋊Dic3C2×AGL(1,𝔽5)11yescharacteristic, complemented
231C4×C3⋊D3—108no—
232C4×C22⋊C4—451noSylow
233C22×C3×C5C2×C4×D314yes—
234C2×D15—38no—
235C2×D15—64no—
236C2×D15—64no—
237C2×C5×D3—38no—
238C2×C5×D3—64no—
239C2×C5×D3—64no—
240C2×C3×D5C2×C4×D314yes—
241C2×C3×D5C2×C4×D314yes—
242C2×C3×D5D3×D414yes—
243C2×C3×D5D3×D414yes—
244C2×C3×D5#23714yes—
245C2×C3×D5#23914yes—
246D3×D5—68no—
247D3×D5—68no—
248D3×D5—68no—
249D3×D5—68no—
250ΓL(1,𝔽16)—316no—
251ΓL(1,𝔽16)—68no—
252C3×AGL(1,𝔽5)—28no—
253C3×AGL(1,𝔽5)—28no—
254C3×C4×C5—24no—
255Dic15—64no—
256C3×Dic5—24no—
257C5×Dic3—64no—
258C23×D3—154no—
259C22×C3×C4—54no—
260C22×C3×C4—54no—
261C22×C3×C4—54no—
262C22×Dic3—154no—
263C22×Dic3—154no—
264C22×Dic3—154no—
265C2×C4×D3—1516no—
266C2×C4×D3—308no—
267C2×C4×D3—308no—
268(C2×D3)⋊C4—34no—
269(C2×D3)⋊C4—154no—
270(C2×D3)⋊C4—154no—
271(C2×D3)⋊C4—1516no—
272(C2×D3)⋊C4—154no—
273C4×Dic3—308no—
274C4×Dic3—308no—
275C32×C5C4×C22⋊C411yescharacteristic, complemented, Hall
276C23×C5—91no—
277C22×D5—91no—
278C22×D5—92no—
279C22×D5—92no—
280C22×D5—181no—
281C22×D5—181no—
282C22×D5—181no—
283C22×D5—181no—
284C22×D5C22×C3⋊D311yescharacteristic
285C2×AGL(1,𝔽5)—21no—
286C2×AGL(1,𝔽5)—21no—
287C2×AGL(1,𝔽5)—21no—
288C2×AGL(1,𝔽5)—21no—
289C2×AGL(1,𝔽5)—92no—
290C2×AGL(1,𝔽5)—92no—
291C2×AGL(1,𝔽5)—92no—
292C2×AGL(1,𝔽5)—92no—
293C2×AGL(1,𝔽5)—188no—
294C2×AGL(1,𝔽5)—181no—
295C2×AGL(1,𝔽5)—181no—
296C2×AGL(1,𝔽5)C4×C3⋊D312yes—
297C2×AGL(1,𝔽5)C4×C3⋊D312yescomplemented
298C2×C4×C5—91no—
299C2×C4×C5C4×C3⋊D311yescharacteristic, complemented
300C2×Dic5—91no—
301C2×Dic5C4×C3⋊D311yescharacteristic, complemented
302C4×D5—21no—
303C4×D5—21no—
304C4×D5—181no—
305C4×D5—181no—
306C22×C32—51no—
307C22×C32—51no—
308C22×C32—51no—
309C22×C32—51no—
310C22×C32—51no—
311C22×C32—51no—
312C22×C32C22×AGL(1,𝔽5)11yescharacteristic
313C2×C3⋊D3—21no—
314C2×C3⋊D3—21no—
315C2×C3⋊D3—52no—
316C2×C3⋊D3—102no—
317C2×C3⋊D3—102no—
318C2×C3⋊D3—102no—
319C2×C3⋊D3—102no—
320C2×C3⋊D3—101no—
321C2×C3⋊D3—101no—
322C2×C3⋊D3C4×AGL(1,𝔽5)12yescomplemented
323C32×C4—21no—
324C32×C4—102no—
325C32×C4—102no—
326C32×C4—101no—
327C3⋊Dic3—21no—
328C3⋊Dic3—54no—
329C3⋊Dic3—102no—
330C3⋊Dic3—101no—
331C23×C4—451no—
332C2×C22⋊C4—451no—
333C2×C22⋊C4—451no—
334C2×C42—451no—
335C2×C42—451no—
336#95—51no—
337#95—451no—
338C2×C3×C5C42×D314yes—
339C2×C3×C5#67⋊C414yes—
340C2×C3×C5#89314yes—
341D15—68no—
342C3×D5D3×C22⋊C414yes—
343C3×D5#67⋊C414yes—
344C3×D5#89214yes—
345C3×D5#89314yes—
346C5×D3—68no—
347C23×C3—54no—
348C22×D3—34no—
349C22×D3—158no—
350C22×D3—158no—
351C22×D3—154no—
352C22×D3—304no—
353C22×D3—304no—
354C22×D3—304no—
355C22×D3—304no—
356C2×C3×C4—58no—
357C2×C3×C4—58no—
358C2×C3×C4—54no—
359C2×C3×C4—104no—
360C2×C3×C4—104no—
361C2×C3×C4—104no—
362C2×C3×C4—104no—
363C2×C3×C4—104no—
364C2×C3×C4—104no—
365C2×C3×C4D3×AGL(1,𝔽5)14yescomplemented
366C2×Dic3—34no—
367C2×Dic3—158no—
368C2×Dic3—158no—
369C2×Dic3—158no—
370C2×Dic3—158no—
371C2×Dic3—154no—
372C2×Dic3—304no—
373C2×Dic3—304no—
374C2×Dic3—304no—
375C2×Dic3—304no—
376C4×D3—3032no—
377C22×C5—92no—
378C22×C5—181no—
379C22×C5—181no—
380C22×C5C2×C4×C3⋊D311yescharacteristic
381C2×D5—92no—
382C2×D5—181no—
383C2×D5—181no—
384C2×D5—182no—
385C2×D5—182no—
386C2×D5—182no—
387C2×D5—182no—
388C2×D5C2×C4×C3⋊D311yescharacteristic
389C2×D5C2×C4×C3⋊D311yescharacteristic
390C2×D5D4×C3⋊D311yescharacteristic
391C2×D5D4×C3⋊D311yescharacteristic
392C2×D5#383011yescharacteristic
393C2×D5#383211yescharacteristic
394AGL(1,𝔽5)—22no—
395AGL(1,𝔽5)—22no—
396AGL(1,𝔽5)—94no—
397AGL(1,𝔽5)—182no—
398C4×C5—21no—
399C4×C5—181no—
400Dic5—21no—
401Dic5—181no—
402C2×C32—51no—
403C2×C32—51no—
404C2×C32—51no—
405C2×C32—51no—
406C2×C32C2×C4×AGL(1,𝔽5)11yescharacteristic
407C2×C32D4×AGL(1,𝔽5)11yescharacteristic
408C2×C32D4×AGL(1,𝔽5)11yescharacteristic
409C3⋊D3—22no—
410C3⋊D3—102no—
411C24—451no—
412C22×C4—51no—
413C22×C4—51no—
414C22×C4—51no—
415C22×C4—454no—
416C22×C4—451no—
417C22×C4—451no—
418C22×C4—451no—
419C22×C4—902no—
420C22×C4—902no—
421C22⋊C4—91no—
422C22⋊C4—451no—
423C22⋊C4—451no—
424C22⋊C4—454no—
425C22⋊C4—451no—
426C42—902no—
427C42—902no—
428C3×C5#466614yescomplemented
429C22×C3—54no—
430C22×C3—54no—
431C22×C3—54no—
432C22×C3—54no—
433C22×C3—54no—
434C22×C3—54no—
435C22×C3C2×D3×AGL(1,𝔽5)14yes—
436C2×D3—38no—
437C2×D3—64no—
438C2×D3—64no—
439C2×D3—158no—
440C2×D3—308no—
441C2×D3—308no—
442C2×D3—308no—
443C2×D3—308no—
444C2×D3—304no—
445C2×D3—304no—
446C3×C4—24no—
447C3×C4—108no—
448C3×C4—108no—
449C3×C4—104no—
450Dic3—64no—
451Dic3—1516no—
452Dic3—308no—
453Dic3—304no—
454C2×C5—182no—
455C2×C5C42×C3⋊D311yescharacteristic
456C2×C5#6409011yescharacteristic
457C2×C5#6410211yescharacteristic
458D5—182no—
459D5C22⋊C4×C3⋊D311yescharacteristic
460D5#6409011yescharacteristic
461D5#6410111yescharacteristic
462D5#6410211yescharacteristic
463C32C22⋊C4×AGL(1,𝔽5)11yescharacteristic, complemented, Sylow
464C23—51no—
465C23—91no—
466C23—452no—
467C23—452no—
468C23—451no—
469C23—901no—
470C23—901no—
471C23—901no—
472C23—901no—
473C2×C4—52no—
474C2×C4—52no—
475C2×C4—51no—
476C2×C4—91no—
477C2×C4—101no—
478C2×C4—101no—
479C2×C4—101no—
480C2×C4—101no—
481C2×C4—101no—
482C2×C4—101no—
483C2×C4—452no—
484C2×C4—452no—
485C2×C4—452no—
486C2×C4—452no—
487C2×C4—451no—
488C2×C4—908no—
489C2×C4—901no—
490C2×C4—901no—
491C2×C4—901no—
492C2×C4—901no—
493C2×C4C3⋊D3×AGL(1,𝔽5)11yescharacteristic, complemented
494C2×C3—54no—
495C2×C3—54no—
496C2×C3—54no—
497C2×C3—54no—
498C2×C3C4×D3×AGL(1,𝔽5)14yes—
499C2×C3#9192114yes—
500C2×C3#67⋊AGL(1,𝔽5)14yes—
501D3—68no—
502D3—308no—
503C5#1059236511yescharacteristic, complemented, Sylow
504C22—51no—
505C22—51no—
506C22—51no—
507C22—51no—
508C22—51no—
509C22—51no—
510C22—92no—
511C22—181no—
512C22—181no—
513C22—452no—
514C22—902no—
515C22—902no—
516C22—902no—
517C22—902no—
518C22—901no—
519C22—901no—
520C22C2×C3⋊D3×AGL(1,𝔽5)11yescharacteristic
521C4—21no—
522C4—102no—
523C4—102no—
524C4—101no—
525C4—181no—
526C4—454no—
527C4—902no—
528C4—901no—
529C3#1175193114yescomplemented
530C2—51no—
531C2—51no—
532C2—51no—
533C2—51no—
534C2—182no—
535C2—902no—
536C2C4×C3⋊D3×AGL(1,𝔽5)11yescharacteristic
537C2#1308867511yescharacteristic
538C2#1308869011yescharacteristic
subgroupG/H
center, FrattiniC22C2×C3⋊D3×AGL(1,𝔽5)
commutatorC2×C32×C5C2×C42
FittingC2×C32×C4×C5C2×C4
socleC22×C32×C5C22×C4
prime radicalC22×D5×C3⋊D3C22
cosocleC22×C32×D5C23
hypercenterC2×C4C3⋊D3×AGL(1,𝔽5)
hypocenterC32×C5C4×C22⋊C4
LCSG ▷ C2×C32×C5 ▷ C32×C5
UCSC1 ◁ C22 ◁ C2×C4

Complements

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

NH ≅ G/Ntype
2. C2×C4×C3⋊ΓL(1,𝔽16)C2semidirect
4. C2×AGL(1,𝔽5)×C3⋊Dic3C2semidirect
6. C32×(C2×AGL(1,𝔽5))⋊C4C2semidirect
7. (C2×AGL(1,𝔽5))⋊(C3⋊Dic3)C2semidirect
16. C2×C3⋊D3×AGL(1,𝔽5)C4semidirect
20. (C2×AGL(1,𝔽5))⋊(C3⋊D3)C4semidirect
22. #10623908C4semidirect
23. C5×#3752C4semidirect
24. #10623772C4semidirect
25. #10623771C4semidirect
32. C3×(C2×AGL(1,𝔽5))⋊C4D3semidirect
46. C2×C3⋊ΓL(1,𝔽16)C2×C4semidirect
54. C2×C32×AGL(1,𝔽5)C2×C4semidirect
56. C2×C32×C4×C5C2×C4semidirect
57. C2×C3⋊Dic15C2×C4semidirect
58. C2×C5×C3⋊Dic3C2×C4semidirect
59. C2×C32×Dic5C2×C4semidirect
93. C2×C3⋊D15C42semidirect
96. C2×C5×C3⋊D3C42semidirect
108. C3⋊ΓL(1,𝔽16)C22⋊C4semidirect
121. (C2×AGL(1,𝔽5))⋊C4C3⋊D3semidirect
136. #3752AGL(1,𝔽5)semidirect
159. C2×C3×AGL(1,𝔽5)C4×D3semidirect
161. C2×C3×C4×C5C4×D3semidirect
164. C2×C3×Dic5C4×D3semidirect
220. C2×C32×C4C2×AGL(1,𝔽5)semidirect
230. C2×C3⋊Dic3C2×AGL(1,𝔽5)semidirect
275. C32×C5C4×C22⋊C4semidirect
297. C2×AGL(1,𝔽5)C4×C3⋊D3semidirect
299. C2×C4×C5C4×C3⋊D3semidirect
301. C2×Dic5C4×C3⋊D3semidirect
322. C2×C3⋊D3C4×AGL(1,𝔽5)semidirect
365. C2×C3×C4D3×AGL(1,𝔽5)semidirect
428. C3×C5#4666semidirect
463. C32C22⋊C4×AGL(1,𝔽5)semidirect
493. C2×C4C3⋊D3×AGL(1,𝔽5)semidirect
503. C5#10592365semidirect
529. C3#11751931semidirect

Maximal subgroups

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

subgroupindex
C22×C3⋊D3×AGL(1,𝔽5)2
C2×C4×C3⋊ΓL(1,𝔽16)2
C2×(C2×AGL(1,𝔽5))⋊(C3⋊D3)2
C2×AGL(1,𝔽5)×C3⋊Dic32
D5×#37522
C32×(C2×AGL(1,𝔽5))⋊C42
(C2×AGL(1,𝔽5))⋊(C3⋊Dic3)2
#117519313
#105923655