Finite Group Databasebeta

← #14329816

Subgroups — #14329816

Order 1920.

1096 conjugacy classes of subgroups.

The subgroup lattice has 600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D5×#924C211yesmaximal, characteristic
2C2×#91235C211yesmaximal, characteristic
3C3×C4×C22⋊AGL(1,𝔽5)C211yesmaximal, characteristic
4#11752029C212yesmaximal
5#11752021C212yesmaximal
6#11751842C212yesmaximal, complemented
7#11751840C212yesmaximal, complemented
8AGL(1,𝔽5)×Dic3⋊C4C212yesmaximal, complemented
9#11751745C212yesmaximal, complemented
10#10617287—31nomaximal, Hall
11C23×ΓL(1,𝔽16)C2212yes—
12C22×C3×C4×D5C2211yescharacteristic
13C2×D5×Dic6C2211yescharacteristic
14C2×C3×C22⋊AGL(1,𝔽5)C2211yescharacteristic
15C2×C3×C22⋊AGL(1,𝔽5)C2211yescharacteristic
16C2×C3×C4×AGL(1,𝔽5)C2212yes—
17C2×Dic3⋊AGL(1,𝔽5)C2212yes—
18C2×Dic3⋊AGL(1,𝔽5)C2212yes—
19C2×Dic3×AGL(1,𝔽5)C2212yes—
20C2×Dic3×AGL(1,𝔽5)C2212yes—
21#91813C411yescharacteristic, complemented
22C5×#924C411yescharacteristic, complemented
23#91574C412yescomplemented
24D5×#217C2212yes—
25D5×C4⋊Dic3C2211yescharacteristic
26D5×Dic3⋊C4C2212yes—
27#91360C411yescharacteristic, complemented
28#91359C411yescharacteristic, complemented
29#91349C412yescomplemented
30#91235C2211yescharacteristic
31#91235C2211yescharacteristic
32#91235C2212yes—
33C3×(C2×AGL(1,𝔽5))⋊C4C2212yes—
34(C2×AGL(1,𝔽5))⋊Dic3C2212yes—
35(C2×AGL(1,𝔽5))⋊Dic3C2212yes—
36(C2×AGL(1,𝔽5))⋊Dic3C2212yes—
37(C2×AGL(1,𝔽5))⋊Dic3C2212yes—
38#73473—51nomaximal, Hall
39D5×C22⋊Q8—31no—
40(C2×AGL(1,𝔽5))⋊Q8—32no—
41C4×C22⋊AGL(1,𝔽5)D311yescharacteristic
42C2×(C2×AGL(1,𝔽5))⋊C4—31no—
43#65711—32no—
44#65711—32no—
45C4⋊C4×AGL(1,𝔽5)—32no—
46#65699—32no—
47C22⋊C4×AGL(1,𝔽5)—32no—
48C23×C3×D5C2311yescharacteristic
49C22×ΓL(1,𝔽16)—24no—
50C22×ΓL(1,𝔽16)—24no—
51C22×ΓL(1,𝔽16)—42no—
52C22×ΓL(1,𝔽16)C2312yes—
53C22×ΓL(1,𝔽16)C2312yes—
54C22×C3×AGL(1,𝔽5)C2312yes—
55C22×C3×AGL(1,𝔽5)C2312yes—
56C22×C3×C4×C5C2×C411yescharacteristic
57C2×Dic30C2×C411yescharacteristic, complemented
58C2×C5×Dic6C2×C411yescharacteristic, complemented
59C22×C3×Dic5C2×C411yescharacteristic
60C2×C3×C4×D5—42no—
61C2×C3×C4×D5C2×C411yescharacteristic
62C2×C3×C4×D5C2×C411yescharacteristic
63C2×C3×C4×D5C2311yescharacteristic
64C2×C3×C4×D5C2311yescharacteristic
65C2×#1204C2×C412yescomplemented
66C2×D5×Dic3C2312yes—
67C2×D5×Dic3C2312yes—
68D5×Dic6—42no—
69C3×C22⋊AGL(1,𝔽5)—22no—
70C3×C22⋊AGL(1,𝔽5)Q814yescomplemented
71C3×C4×AGL(1,𝔽5)—42no—
72Dic3⋊AGL(1,𝔽5)—24no—
73Dic3⋊AGL(1,𝔽5)—42no—
74Dic3×AGL(1,𝔽5)—24no—
75Dic3×AGL(1,𝔽5)—42no—
76#6719C2×C412yes—
77C4⋊Dic15C2×C411yescharacteristic, complemented
78#6712C2×C412yescomplemented
79C5×#217C2×C412yes—
80C5×C4⋊Dic3C2×C411yescharacteristic, complemented
81C5×Dic3⋊C4C2×C412yescomplemented
82Dic3⋊Dic5C2×C412yescomplemented
83#6669C2×C412yescomplemented
84#6668C2×C412yescomplemented
85#6665C2×C412yes—
86#6665C2×C412yes—
87C2×#924—51no—
88C3×C4×C22⋊C4—51no—
89C2×C3⋊#95—51no—
90#4946—52no—
91Dic3×C22⋊C4—52no—
92#4933—52no—
93C4×Dic3⋊C4—52no—
94#4654—52no—
95#4646—52no—
96C23×AGL(1,𝔽5)—32no—
97C2×Q8×D5—31no—
98C22×C4×D5C2×D311yescharacteristic
99C2×C22⋊AGL(1,𝔽5)C2×D311yescharacteristic
100C2×C22⋊AGL(1,𝔽5)C2×D311yescharacteristic
101C2×C4⋊AGL(1,𝔽5)—32no—
102C2×C4⋊AGL(1,𝔽5)—32no—
103C2×C4×AGL(1,𝔽5)—32no—
104C2×C4×AGL(1,𝔽5)—32no—
105C2×C4×AGL(1,𝔽5)C2×D312yes—
106C5×C22⋊Q8—31no—
107#4092—31no—
108#4070—31no—
109#4043—31no—
110#4042—32no—
111D5×C4⋊C4—32no—
112D5×C4⋊C4—31no—
113D5×C22⋊C4—32no—
114#4024—32no—
115(C2×AGL(1,𝔽5))⋊C4—32no—
116(C2×AGL(1,𝔽5))⋊C4—32no—
117(C2×AGL(1,𝔽5))⋊C4—32no—
118(C2×AGL(1,𝔽5))⋊C4—32no—
119(C2×AGL(1,𝔽5))⋊C4—31no—
120(C2×AGL(1,𝔽5))⋊C4—31no—
121(C2×AGL(1,𝔽5))⋊C4—32no—
122(C2×AGL(1,𝔽5))⋊C4C2×D312yes—
123#2368—151noSylow
124C23×C3×C5C22×C411yescharacteristic
125C22×C3×D5—22no—
126C22×C3×D5—22no—
127C22×C3×D5C22×C411yescharacteristic
128C22×C3×D5C2×Q812yes—
129C22×C3×D5#4112yes—
130C22×C3×D5C2411yescharacteristic
131C2×ΓL(1,𝔽16)—22no—
132C2×ΓL(1,𝔽16)—22no—
133C2×ΓL(1,𝔽16)—22no—
134C2×ΓL(1,𝔽16)—22no—
135C2×ΓL(1,𝔽16)—22no—
136C2×ΓL(1,𝔽16)—48no—
137C2×ΓL(1,𝔽16)#4114yes—
138C2×C3×AGL(1,𝔽5)—22no—
139C2×C3×AGL(1,𝔽5)—22no—
140C2×C3×AGL(1,𝔽5)—22no—
141C2×C3×AGL(1,𝔽5)—22no—
142C2×C3×AGL(1,𝔽5)—22no—
143C2×C3×AGL(1,𝔽5)C2×Q814yes—
144C2×C3×C4×C5—41no—
145C2×C3×C4×C5C22×C411yescharacteristic
146C2×C3×C4×C5C22×C411yescharacteristic
147C2×Dic15C22×C412yes—
148C2×Dic15C22×C412yes—
149Dic30—41no—
150C2×C5×Dic3C22×C412yes—
151C2×C5×Dic3C22×C412yes—
152C5×Dic6—41no—
153C2×C3×Dic5—41no—
154C2×C3×Dic5C22×C411yescharacteristic
155C2×C3×Dic5C22×C411yescharacteristic
156C3×C4×D5—22no—
157C3×C4×D5—22no—
158C3×C4×D5—41no—
159C3×C4×D5—41no—
160#1204—42no—
161D5×Dic3—22no—
162D5×Dic3—22no—
163D5×Dic3—22no—
164D5×Dic3—22no—
165C23×C3×C4—51no—
166C23×Dic3—52no—
167C22×Dic6—51no—
168C2×C3×C22⋊C4—51no—
169C2×C3×C22⋊C4—51no—
170C2×C3×C42—52no—
171C2×#217—52no—
172C2×C4⋊Dic3—51no—
173#924—51no—
174#924—51no—
175#924—52no—
176#924—51no—
177#924—52no—
178#924AGL(1,𝔽5)11yescharacteristic, complemented
179C2×Dic3⋊C4—52no—
180C2×Dic3⋊C4—52no—
181C2×Dic3⋊C4—52no—
182C2×C4×Dic3—52no—
183C2×C4×Dic3—52no—
184C3×#95—52no—
185C3⋊#95—52no—
186C3⋊#95—52no—
187C3⋊#95—52no—
188C3⋊#95—52no—
189C3⋊#95—52no—
190C3⋊#95—51no—
191C3⋊#95—51no—
192C23×D5C22×D311yescharacteristic
193C22×AGL(1,𝔽5)—32no—
194C22×AGL(1,𝔽5)—32no—
195C22×AGL(1,𝔽5)—64no—
196C22×AGL(1,𝔽5)—64no—
197C22×AGL(1,𝔽5)—122no—
198C22×AGL(1,𝔽5)C22×D312yes—
199C22×AGL(1,𝔽5)C22×D312yes—
200C2×C5×Q8—31no—
201C22×C4×C5C4×D311yescharacteristic
202C22×Dic5C4×D311yescharacteristic
203Q8×D5—122no—
204C2×C4×D5—32no—
205C2×C4×D5—32no—
206C2×C4×D5—42no—
207C2×C4×D5C4×D311yescharacteristic
208C2×C4×D5C4×D311yescharacteristic
209C2×C4×D5C22×D311yescharacteristic
210C2×C4×D5C22×D311yescharacteristic
211C2×Dic10—31no—
212C2×Dic10—32no—
213C22⋊AGL(1,𝔽5)—22no—
214C22⋊AGL(1,𝔽5)Dic614yescomplemented
215C4⋊AGL(1,𝔽5)—64no—
216C4⋊AGL(1,𝔽5)—122no—
217C4×AGL(1,𝔽5)—42no—
218C4×AGL(1,𝔽5)—64no—
219C4×AGL(1,𝔽5)—122no—
220C5×C4⋊C4—32no—
221C5×C4⋊C4—31no—
222C5×C22⋊C4—32no—
223C22⋊Dic5—32no—
224#685—32no—
225#685—32no—
226C4⋊Dic5—31no—
227C4⋊Dic5—32no—
228#683—32no—
229#683—32no—
230#683—32no—
231C2×C22⋊Q8—151no—
232#391—152no—
233#387—152no—
234#387—152no—
235#385—152no—
236C4×C4⋊C4—152no—
237C4×C22⋊C4—51no—
238C4×C22⋊C4—152no—
239C2×#95—151no—
240C22×C3×C5—21no—
241C22×C3×C5—21no—
242C22×C3×C5C4×Q812yes—
243C22×C3×C5C23×C411yescharacteristic
244C2×C3×D5—21no—
245C2×C3×D5—21no—
246C2×C3×D5—24no—
247C2×C3×D5—24no—
248C2×C3×D5C4×Q812yes—
249C2×C3×D5C22×Q811yescharacteristic
250C2×C3×D5C2×#4111yescharacteristic
251C2×C3×D5C2×#4112yes—
252C2×C3×D5H(5,𝔽2)12yes—
253ΓL(1,𝔽16)—24no—
254ΓL(1,𝔽16)—42no—
255C3×AGL(1,𝔽5)—24no—
256C3×AGL(1,𝔽5)—42no—
257C3×C4×C5—21no—
258C3×C4×C5—21no—
259Dic15—22no—
260Dic15—22no—
261C3×Dic5—21no—
262C3×Dic5—21no—
263C5×Dic3—22no—
264C5×Dic3—22no—
265C24×C3—51no—
266C22×C3×C4—52no—
267C22×C3×C4—51no—
268C22×C3×C4—51no—
269C22×C3×C4—51no—
270C22×C3×C4—51no—
271C22×C3×C4—51no—
272C22×C3×C4—52no—
273C22×C3×C4—202no—
274C22×C3×C4C2×AGL(1,𝔽5)11yescharacteristic
275C22×Dic3—52no—
276C22×Dic3—52no—
277C22×Dic3—52no—
278C22×Dic3—52no—
279C22×Dic3—104no—
280C22×Dic3—104no—
281C22×Dic3—202no—
282C2×Dic6—51no—
283C2×Dic6—52no—
284C2×Dic6—202no—
285C2×Dic6C2×AGL(1,𝔽5)11yescharacteristic, complemented
286C3×C22⋊C4—54no—
287C3×C22⋊C4—102no—
288C3×C42—202no—
289#217—52no—
290#217—52no—
291#217—52no—
292#217C2×AGL(1,𝔽5)12yes—
293C4⋊Dic3—51no—
294C4⋊Dic3—52no—
295C4⋊Dic3C2×AGL(1,𝔽5)11yescharacteristic, complemented
296Dic3⋊C4—52no—
297Dic3⋊C4—52no—
298Dic3⋊C4—52no—
299Dic3⋊C4—104no—
300Dic3⋊C4—202no—
301Dic3⋊C4C2×AGL(1,𝔽5)12yescomplemented
302C4×Dic3—104no—
303C4×Dic3—202no—
304C23×C5C2×C4×D311yescharacteristic
305C22×D5—22no—
306C22×D5—22no—
307C22×D5C2×Dic612yes—
308C22×D5C2×C4×D311yescharacteristic
309C22×D5#23512yes—
310C22×D5C23×D311yescharacteristic
311C2×AGL(1,𝔽5)—22no—
312C2×AGL(1,𝔽5)—22no—
313C2×AGL(1,𝔽5)—22no—
314C2×AGL(1,𝔽5)—22no—
315C2×AGL(1,𝔽5)—22no—
316C2×AGL(1,𝔽5)—34no—
317C2×AGL(1,𝔽5)—62no—
318C2×AGL(1,𝔽5)—62no—
319C2×AGL(1,𝔽5)—62no—
320C2×AGL(1,𝔽5)—62no—
321C2×AGL(1,𝔽5)—62no—
322C2×AGL(1,𝔽5)—128no—
323C2×AGL(1,𝔽5)C2×Dic614yes—
324C5×Q8—121no—
325C2×C4×C5—32no—
326C2×C4×C5—32no—
327C2×C4×C5—41no—
328C2×C4×C5C2×C4×D311yescharacteristic
329C2×C4×C5C2×C4×D311yescharacteristic
330C2×Dic5—32no—
331C2×Dic5—32no—
332C2×Dic5—41no—
333C2×Dic5C2×C4×D311yescharacteristic
334C2×Dic5C2×C4×D311yescharacteristic
335C4×D5—22no—
336C4×D5—22no—
337C4×D5—41no—
338C4×D5—41no—
339C4×D5—62no—
340C4×D5—62no—
341C4×D5—62no—
342C4×D5—62no—
343Dic10—122no—
344Dic10—121no—
345C22×Q8—151no—
346C23×C4—51no—
347C23×C4—152no—
348C22⋊Q8—31no—
349C22⋊Q8—152no—
350C22⋊Q8—152no—
351C22⋊Q8—151no—
352C22⋊Q8—151no—
353C22⋊Q8—151no—
354C2×C4⋊C4—152no—
355C2×C4⋊C4—151no—
356C2×C4⋊C4—152no—
357C2×C4⋊C4—152no—
358C2×C22⋊C4—51no—
359C2×C22⋊C4—51no—
360C2×C22⋊C4—152no—
361C2×C42—52no—
362C2×C42—152no—
363C2×C42—152no—
364#95—52no—
365#95—151no—
366#95—151no—
367#95—152no—
368#95—152no—
369#95—152no—
370#95—152no—
371#95—152no—
372C2×C3×C5—22no—
373C2×C3×C5C2×C4×Q811yescharacteristic
374C2×C3×C5C4×#4111yescharacteristic
375C2×C3×C5#51811yescharacteristic
376C3×D5—22no—
377C3×D5#55112yes—
378C3×D5#55412yes—
379C23×C3—51no—
380C23×C3—52no—
381C23×C3—52no—
382C23×C3—51no—
383C23×C3—102no—
384C23×C3—102no—
385C23×C3C22×AGL(1,𝔽5)11yescharacteristic
386C2×C3×C4—41no—
387C2×C3×C4—54no—
388C2×C3×C4—51no—
389C2×C3×C4—51no—
390C2×C3×C4—102no—
391C2×C3×C4—102no—
392C2×C3×C4—102no—
393C2×C3×C4—102no—
394C2×C3×C4—102no—
395C2×C3×C4—102no—
396C2×C3×C4—102no—
397C2×C3×C4—201no—
398C2×C3×C4—201no—
399C2×C3×C4—201no—
400C2×C3×C4C22×AGL(1,𝔽5)11yescharacteristic
401C2×C3×C4C22×AGL(1,𝔽5)11yescharacteristic
402C2×Dic3—54no—
403C2×Dic3—52no—
404C2×Dic3—52no—
405C2×Dic3—102no—
406C2×Dic3—102no—
407C2×Dic3—102no—
408C2×Dic3—102no—
409C2×Dic3—102no—
410C2×Dic3—102no—
411C2×Dic3—102no—
412C2×Dic3—102no—
413C2×Dic3—102no—
414C2×Dic3—208no—
415C2×Dic3C22×AGL(1,𝔽5)12yes—
416C2×Dic3C22×AGL(1,𝔽5)12yes—
417Dic6—41no—
418Dic6—202no—
419Dic6—201no—
420C22×C5—21no—
421C22×C5—21no—
422C22×C5C4×Dic612yes—
423C22×C5C22×C4×D311yescharacteristic
424C2×D5—21no—
425C2×D5—21no—
426C2×D5—24no—
427C2×D5—24no—
428C2×D5C4×Dic612yes—
429C2×D5C22×Dic611yescharacteristic
430C2×D5C2×#23511yescharacteristic
431C2×D5#100412yes—
432C2×D5D3×#4112yes—
433AGL(1,𝔽5)—24no—
434AGL(1,𝔽5)—42no—
435AGL(1,𝔽5)—64no—
436AGL(1,𝔽5)—122no—
437C4×C5—21no—
438C4×C5—21no—
439C4×C5—62no—
440C4×C5—62no—
441Dic5—21no—
442Dic5—21no—
443Dic5—62no—
444Dic5—62no—
445C24—51no—
446C2×Q8—31no—
447C2×Q8—152no—
448C2×Q8—151no—
449C2×Q8—602no—
450C22×C4—52no—
451C22×C4—51no—
452C22×C4—51no—
453C22×C4—51no—
454C22×C4—51no—
455C22×C4—51no—
456C22×C4—52no—
457C22×C4—152no—
458C22×C4—152no—
459C22×C4—152no—
460C22×C4—152no—
461C22×C4—202no—
462C22×C4—304no—
463C22×C4—304no—
464C22×C4—602no—
465C22×C4D3×AGL(1,𝔽5)11yescharacteristic
466C4⋊C4—32no—
467C4⋊C4—31no—
468C4⋊C4—152no—
469C4⋊C4—152no—
470C4⋊C4—152no—
471C4⋊C4—152no—
472C4⋊C4—151no—
473C4⋊C4—304no—
474C4⋊C4—602no—
475C22⋊C4—32no—
476C22⋊C4—54no—
477C22⋊C4—102no—
478C22⋊C4—152no—
479C22⋊C4—152no—
480C22⋊C4—152no—
481C42—202no—
482C42—304no—
483C42—602no—
484C3×C5#236811yescharacteristic, complemented, Hall
485C22×C3—21no—
486C22×C3—21no—
487C22×C3—52no—
488C22×C3—51no—
489C22×C3—51no—
490C22×C3—52no—
491C22×C3—52no—
492C22×C3—104no—
493C22×C3—104no—
494C22×C3—101no—
495C22×C3—101no—
496C22×C3Q8×AGL(1,𝔽5)12yes—
497C22×C3C23×AGL(1,𝔽5)11yescharacteristic
498C3×C4—21no—
499C3×C4—21no—
500C3×C4—104no—
501C3×C4—101no—
502C3×C4—101no—
503C3×C4—202no—
504Dic3—22no—
505Dic3—22no—
506Dic3—104no—
507Dic3—102no—
508Dic3—102no—
509Dic3—202no—
510C2×C5—22no—
511C2×C5C2×C4×Dic611yescharacteristic
512C2×C5#548611yescharacteristic
513C2×C5#552211yescharacteristic
514D5—22no—
515D5#553912yes—
516D5#555612yes—
517C23—51no—
518C23—52no—
519C23—52no—
520C23—51no—
521C23—102no—
522C23—102no—
523C23C2×D3×AGL(1,𝔽5)11yescharacteristic
524Q8—121no—
525Q8—601no—
526Q8—602no—
527C2×C4—32no—
528C2×C4—32no—
529C2×C4—41no—
530C2×C4—54no—
531C2×C4—51no—
532C2×C4—51no—
533C2×C4—102no—
534C2×C4—102no—
535C2×C4—102no—
536C2×C4—102no—
537C2×C4—102no—
538C2×C4—102no—
539C2×C4—102no—
540C2×C4—154no—
541C2×C4—152no—
542C2×C4—152no—
543C2×C4—201no—
544C2×C4—201no—
545C2×C4—201no—
546C2×C4—302no—
547C2×C4—302no—
548C2×C4—302no—
549C2×C4—302no—
550C2×C4—302no—
551C2×C4—302no—
552C2×C4—302no—
553C2×C4—302no—
554C2×C4—302no—
555C2×C4—608no—
556C2×C4C2×D3×AGL(1,𝔽5)11yescharacteristic
557C2×C4C2×D3×AGL(1,𝔽5)11yescharacteristic
558C2×C3—22no—
559C2×C3—52no—
560C2×C3—52no—
561C2×C3—102no—
562C2×C3#6625811yescharacteristic
563C2×C3C2×Q8×AGL(1,𝔽5)11yescharacteristic
564C2×C3#41×AGL(1,𝔽5)11yescharacteristic
565C5#7347311yescharacteristic, complemented, Sylow
566C22—21no—
567C22—21no—
568C22—51no—
569C22—51no—
570C22—52no—
571C22—52no—
572C22—52no—
573C22—104no—
574C22—104no—
575C22—101no—
576C22—101no—
577C22AGL(1,𝔽5)×Dic612yes—
578C22C22×D3×AGL(1,𝔽5)11yescharacteristic
579C4—21no—
580C4—21no—
581C4—62no—
582C4—62no—
583C4—104no—
584C4—101no—
585C4—101no—
586C4—202no—
587C4—304no—
588C4—302no—
589C4—302no—
590C4—602no—
591C3#1061728711yescharacteristic, complemented, Sylow
592C2—22no—
593C2—52no—
594C2—52no—
595C2—102no—
596C2C2×AGL(1,𝔽5)×Dic611yescharacteristic
597C2#1175683511yescharacteristic
598C2#1175687111yescharacteristic
subgroupG/H
center, FrattiniC22C22×D3×AGL(1,𝔽5)
commutator, socleC22×C3×C5C23×C4
FittingC22×C3×C4×C5C2×C4
prime radicalC23×C3×D5C23
cosocleC22×C3×D5C24
hypercenterC22×C4D3×AGL(1,𝔽5)
hypocenterC3×C5#2368
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4

Complements

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

NH ≅ G/Ntype
6. #11751842C2semidirect
7. #11751840C2semidirect
8. AGL(1,𝔽5)×Dic3⋊C4C2semidirect
9. #11751745C2semidirect
21. #91813C4semidirect
22. C5×#924C4semidirect
23. #91574C4semidirect
27. #91360C4semidirect
28. #91359C4semidirect
29. #91349C4semidirect
57. C2×Dic30C2×C4semidirect
58. C2×C5×Dic6C2×C4semidirect
65. C2×#1204C2×C4semidirect
70. C3×C22⋊AGL(1,𝔽5)Q8semidirect
77. C4⋊Dic15C2×C4semidirect
78. #6712C2×C4semidirect
80. C5×C4⋊Dic3C2×C4semidirect
81. C5×Dic3⋊C4C2×C4semidirect
82. Dic3⋊Dic5C2×C4semidirect
83. #6669C2×C4semidirect
84. #6668C2×C4semidirect
178. #924AGL(1,𝔽5)semidirect
214. C22⋊AGL(1,𝔽5)Dic6semidirect
285. C2×Dic6C2×AGL(1,𝔽5)semidirect
295. C4⋊Dic3C2×AGL(1,𝔽5)semidirect
301. Dic3⋊C4C2×AGL(1,𝔽5)semidirect
484. C3×C5#2368semidirect
565. C5#73473semidirect
591. C3#10617287semidirect

Maximal subgroups

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

subgroupindex
D5×#9242
C2×#912352
C3×C4×C22⋊AGL(1,𝔽5)2
#117520292
#117520212
#117518422
#117518402
AGL(1,𝔽5)×Dic3⋊C42
#117517452
#106172873
#734735