Finite Group Databasebeta

← C3×#10603957 #14299949

Subgroups — C3×#10603957 #14299949

Order 1920.

724 conjugacy classes of subgroups.

The subgroup lattice has 560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D4×AGL(1,𝔽5)C211yesmaximal, characteristic
2C2×C3×#4007C211yesmaximal, characteristic
3C2×C3×#3994C211yesmaximal, characteristic, complemented
4C3×#65712C211yesmaximal, characteristic, complemented
5C3×D5×#102C211yesmaximal, characteristic
6C3×(C2×AGL(1,𝔽5))⋊C8C211yesmaximal, characteristic, complemented
7C3×#64874C211yesmaximal, characteristic, complemented
8#10603957C311yesmaximal, characteristic, direct product factor, Hall
9C23×C3×AGL(1,𝔽5)—21no—
10C2×C3×D4×D5C2211yescharacteristic
11C2×C3×C22⋊AGL(1,𝔽5)—21no—
12C3×D4×AGL(1,𝔽5)—22no—
13C3×D4×AGL(1,𝔽5)—22no—
14C2×C3×C4⋊AGL(1,𝔽5)—21no—
15C2×C3×C4⋊AGL(1,𝔽5)C2211yescharacteristic
16C2×C3×C4⋊AGL(1,𝔽5)C2211yescharacteristic
17C2×C3×C4×AGL(1,𝔽5)C2211yescharacteristic
18C2×C3×D5⋊C8C2211yescharacteristic
19C2×C3×C8×D5C2211yescharacteristic
20C3×D5×C4⋊C4C2211yescharacteristic
21C3×#4007—22no—
22C3×(C2×AGL(1,𝔽5))⋊C4—21no—
23C3×#3994—22no—
24C3×C5×#102C411yescharacteristic, complemented
25C3×#3964C411yescharacteristic, complemented
26C3×#3953C411yescharacteristic, complemented
27C3×#3941C411yescharacteristic, complemented
28C3×#1862—51nomaximal, Hall
29C2×D4×AGL(1,𝔽5)C2×C311yescharacteristic
30C2×#4007C2×C311yescharacteristic
31C2×#3994C2×C311yescharacteristic, complemented
32#65712C2×C311yescharacteristic, complemented
33D5×#102C2×C311yescharacteristic
34(C2×AGL(1,𝔽5))⋊C8C2×C311yescharacteristic, complemented
35#64874C2×C311yescharacteristic, complemented
36C23×C3×D5—21no—
37C22×C3×AGL(1,𝔽5)—24no—
38C22×C3×AGL(1,𝔽5)—21no—
39C22×C3×AGL(1,𝔽5)—21no—
40C22×C3×AGL(1,𝔽5)—42no—
41C22×C3×AGL(1,𝔽5)—42no—
42C22×C3×AGL(1,𝔽5)D411yescharacteristic
43C22×C3×AGL(1,𝔽5)D411yescharacteristic
44C2×C3×C5×D4C2×C411yescharacteristic
45C2×C3×C22⋊D5—21no—
46C3×D4×D5—21no—
47C3×D4×D5—21no—
48C3×D4×D5D412yes—
49C3×D4×D5Q812yes—
50C2×C3×D20C2×C411yescharacteristic
51C2×C3×C4×D5—21no—
52C2×C3×C4×D5C2311yescharacteristic
53C3×C22⋊AGL(1,𝔽5)—24no—
54C2×C3×#170—21no—
55C3×C4⋊AGL(1,𝔽5)—21no—
56C3×C4⋊AGL(1,𝔽5)—21no—
57C3×C4⋊AGL(1,𝔽5)—21no—
58C3×C4⋊AGL(1,𝔽5)—42no—
59C3×C4⋊AGL(1,𝔽5)D412yes—
60C3×C4×AGL(1,𝔽5)—21no—
61C3×C4×AGL(1,𝔽5)—21no—
62C3×D5⋊C8—21no—
63C3×D5⋊C8—21no—
64C2×C3×C5×C8C2×C411yescharacteristic, complemented
65C3×C5×C4⋊C4C2×C411yescharacteristic, complemented
66C3×C4⋊Dic5C2×C411yescharacteristic, complemented
67C3×#683—21no—
68C2×C3×#168C2×C411yescharacteristic, complemented
69C3×C8×D5—21no—
70C3×C8×D5—21no—
71C2×C3×C4×D4—51no—
72C2×C3×#107—51no—
73C2×C3×#102—51no—
74C2×C3×#102—51no—
75C3×#389—51no—
76C3×#340—51no—
77C3×#336—51no—
78C23×AGL(1,𝔽5)—21no—
79C2×D4×D5C22×C311yescharacteristic
80C2×C22⋊AGL(1,𝔽5)—21no—
81D4×AGL(1,𝔽5)—22no—
82D4×AGL(1,𝔽5)—22no—
83C2×C4⋊AGL(1,𝔽5)—21no—
84C2×C4⋊AGL(1,𝔽5)C22×C311yescharacteristic
85C2×C4⋊AGL(1,𝔽5)C22×C311yescharacteristic
86C2×C4×AGL(1,𝔽5)C22×C311yescharacteristic
87C2×D5⋊C8C22×C311yescharacteristic
88C2×C8×D5C22×C311yescharacteristic
89D5×C4⋊C4C22×C311yescharacteristic
90#4007—22no—
91(C2×AGL(1,𝔽5))⋊C4—21no—
92#3994—22no—
93C5×#102C3×C411yescharacteristic, complemented
94#3964C3×C411yescharacteristic, complemented
95#3953C3×C411yescharacteristic, complemented
96#3941C3×C411yescharacteristic, complemented
97#1862—51noSylow
98C23×C3×C5—21no—
99C22×C3×D5—21no—
100C22×C3×D5—22no—
101C22×C3×D5—22no—
102C22×C3×D5—41no—
103C22×C3×D5—41no—
104C22×C3×D5—41no—
105C22×C3×D5—41no—
106C22×C3×D5C2×D411yescharacteristic
107C2×C3×AGL(1,𝔽5)—21no—
108C2×C3×AGL(1,𝔽5)—21no—
109C2×C3×AGL(1,𝔽5)—21no—
110C2×C3×AGL(1,𝔽5)—22no—
111C2×C3×AGL(1,𝔽5)—21no—
112C2×C3×AGL(1,𝔽5)—21no—
113C2×C3×AGL(1,𝔽5)—48no—
114C2×C3×AGL(1,𝔽5)—41no—
115C2×C3×AGL(1,𝔽5)—41no—
116C2×C3×AGL(1,𝔽5)—41no—
117C2×C3×AGL(1,𝔽5)—41no—
118C2×C3×AGL(1,𝔽5)—41no—
119C2×C3×AGL(1,𝔽5)D812yes—
120C3×C5×D4—21no—
121C3×C5×D4C4⋊C412yescomplemented
122C2×C3×C4×C5—21no—
123C2×C3×C4×C5C22×C411yescharacteristic
124C3×C22⋊D5—22no—
125C3×C22⋊D5—22no—
126C2×C3×Dic5—21no—
127C2×C3×Dic5#4111yescharacteristic
128C3×D20—21no—
129C3×D20C4⋊C412yescomplemented
130C3×C4×D5—41no—
131C3×C4×D5—41no—
132C3×C4×D5C2×D411yescharacteristic
133C3×C4×D5C2×D411yescharacteristic
134C3×C4×D5C2×Q811yescharacteristic
135C3×C4×D5#4111yescharacteristic
136C3×#170—41no—
137C3×C5×C8—21no—
138C3×#168—21no—
139C22×C3×D4—51no—
140C23×C3×C4—101no—
141C22×C3×C8—51no—
142C22×C3×C8—51no—
143C3×C4×D4—102no—
144C3×C4×D4—102no—
145C2×C3×C4⋊C4—51no—
146C2×C3×C4⋊C4—51no—
147C2×C3×C4⋊C4—51no—
148C2×C3×C4⋊C4—101no—
149C2×C3×C22⋊C4—101no—
150C2×C3×C42—51no—
151C3×#107—102no—
152C3×#102—51no—
153C3×#102—51no—
154C3×#102—51no—
155C3×#102—102no—
156C3×#102AGL(1,𝔽5)11yescharacteristic, complemented
157C3×#95—101no—
158C23×D5—21no—
159C22×AGL(1,𝔽5)—24no—
160C22×AGL(1,𝔽5)—21no—
161C22×AGL(1,𝔽5)—21no—
162C22×AGL(1,𝔽5)—42no—
163C22×AGL(1,𝔽5)—42no—
164C22×AGL(1,𝔽5)C3×D411yescharacteristic
165C22×AGL(1,𝔽5)C3×D411yescharacteristic
166C2×C5×D4C2×C3×C411yescharacteristic
167C2×C22⋊D5—21no—
168D4×D5—21no—
169D4×D5—21no—
170D4×D5C3×D412yes—
171D4×D5C3×Q812yes—
172C2×D20C2×C3×C411yescharacteristic
173C2×C4×D5—21no—
174C2×C4×D5C23×C311yescharacteristic
175C22⋊AGL(1,𝔽5)—24no—
176C2×#170—21no—
177C4⋊AGL(1,𝔽5)—21no—
178C4⋊AGL(1,𝔽5)—21no—
179C4⋊AGL(1,𝔽5)—21no—
180C4⋊AGL(1,𝔽5)—42no—
181C4⋊AGL(1,𝔽5)C3×D412yes—
182C4×AGL(1,𝔽5)—21no—
183C4×AGL(1,𝔽5)—21no—
184D5⋊C8—21no—
185D5⋊C8—21no—
186C2×C5×C8C2×C3×C411yescharacteristic, complemented
187C5×C4⋊C4C2×C3×C411yescharacteristic, complemented
188C4⋊Dic5C2×C3×C411yescharacteristic, complemented
189#683—21no—
190C2×#168C2×C3×C411yescharacteristic, complemented
191C8×D5—21no—
192C8×D5—21no—
193C2×C4×D4—51no—
194C2×#107—51no—
195C2×#102—51no—
196C2×#102—51no—
197#389—51no—
198#340—51no—
199#336—51no—
200C22×C3×C5—22no—
201C22×C3×C5—41no—
202C22×C3×C5—41no—
203C22×C3×C5C4×D411yescharacteristic
204C2×C3×D5—22no—
205C2×C3×D5—41no—
206C2×C3×D5—41no—
207C2×C3×D5—42no—
208C2×C3×D5—42no—
209C2×C3×D5—42no—
210C2×C3×D5—42no—
211C2×C3×D5#12011yescharacteristic
212C2×C3×D5C22⋊Q811yescharacteristic
213C2×C3×D5C2×D811yescharacteristic
214C2×C3×D5#13511yescharacteristic
215C2×C3×D5AGL(1,ℤ/8)11yescharacteristic
216C2×C3×D5#13711yescharacteristic
217C3×AGL(1,𝔽5)—22no—
218C3×AGL(1,𝔽5)—42no—
219C3×AGL(1,𝔽5)—41no—
220C3×AGL(1,𝔽5)—81no—
221C3×C4×C5—41no—
222C3×C4×C5C2×C4⋊C411yescharacteristic
223C3×C4×C5C4×D411yescharacteristic
224C3×Dic5—41no—
225C3×Dic5C22⋊Q811yescharacteristic
226C3×Dic5#12311yescharacteristic
227C24×C3—101no—
228C2×C3×D4—52no—
229C2×C3×D4—52no—
230C2×C3×D4—51no—
231C2×C3×D4—101no—
232C2×C3×D4—101no—
233C2×C3×D4—101no—
234C2×C3×D4C2×AGL(1,𝔽5)11yescharacteristic
235C22×C3×C4—51no—
236C22×C3×C4—51no—
237C22×C3×C4—51no—
238C22×C3×C4—101no—
239C22×C3×C4—101no—
240C22×C3×C4—104no—
241C22×C3×C4—101no—
242C22×C3×C4—202no—
243C22×C3×C4—202no—
244C2×C3×C8—51no—
245C2×C3×C8—101no—
246C2×C3×C8—101no—
247C2×C3×C8—101no—
248C2×C3×C8—101no—
249C2×C3×C8—101no—
250C2×C3×C8C2×AGL(1,𝔽5)11yescharacteristic, complemented
251C3×C4⋊C4—52no—
252C3×C4⋊C4—51no—
253C3×C4⋊C4—101no—
254C3×C4⋊C4—101no—
255C3×C4⋊C4—101no—
256C3×C4⋊C4—101no—
257C3×C4⋊C4—202no—
258C3×C4⋊C4C2×AGL(1,𝔽5)11yescharacteristic, complemented
259C3×C22⋊C4—104no—
260C3×C42—101no—
261C3×C42—101no—
262C23×C5—21no—
263C22×D5—21no—
264C22×D5—22no—
265C22×D5—22no—
266C22×D5—41no—
267C22×D5—41no—
268C22×D5—41no—
269C22×D5—41no—
270C22×D5C2×C3×D411yescharacteristic
271C2×AGL(1,𝔽5)—21no—
272C2×AGL(1,𝔽5)—21no—
273C2×AGL(1,𝔽5)—21no—
274C2×AGL(1,𝔽5)—22no—
275C2×AGL(1,𝔽5)—21no—
276C2×AGL(1,𝔽5)—21no—
277C2×AGL(1,𝔽5)—48no—
278C2×AGL(1,𝔽5)—41no—
279C2×AGL(1,𝔽5)—41no—
280C2×AGL(1,𝔽5)—41no—
281C2×AGL(1,𝔽5)—41no—
282C2×AGL(1,𝔽5)—41no—
283C2×AGL(1,𝔽5)C3×D812yes—
284C5×D4—21no—
285C5×D4C3×C4⋊C412yescomplemented
286C2×C4×C5—21no—
287C2×C4×C5C22×C3×C411yescharacteristic
288C22⋊D5—22no—
289C22⋊D5—22no—
290C2×Dic5—21no—
291C2×Dic5C3×#4111yescharacteristic
292D20—21no—
293D20C3×C4⋊C412yescomplemented
294C4×D5—41no—
295C4×D5—41no—
296C4×D5C2×C3×D411yescharacteristic
297C4×D5C2×C3×D411yescharacteristic
298C4×D5C2×C3×Q811yescharacteristic
299C4×D5C3×#4111yescharacteristic
300#170—41no—
301C5×C8—21no—
302#168—21no—
303C22×D4—51no—
304C23×C4—101no—
305C22×C8—51no—
306C22×C8—51no—
307C4×D4—102no—
308C4×D4—102no—
309C2×C4⋊C4—51no—
310C2×C4⋊C4—51no—
311C2×C4⋊C4—51no—
312C2×C4⋊C4—101no—
313C2×C22⋊C4—101no—
314C2×C42—51no—
315#107—102no—
316#102—51no—
317#102—51no—
318#102—51no—
319#102—102no—
320#102C3×AGL(1,𝔽5)11yescharacteristic, complemented
321#95—101no—
322C2×C3×C5—42no—
323C2×C3×C5#38511yescharacteristic
324C2×C3×C5C4×D811yescharacteristic
325C2×C3×C5#44011yescharacteristic
326C3×D5—42no—
327C3×D5#44711yescharacteristic
328C3×D5#45211yescharacteristic
329C3×D5#47411yescharacteristic
330C3×D5#47811yescharacteristic
331C23×C3—21no—
332C23×C3—51no—
333C23×C3—102no—
334C23×C3—102no—
335C23×C3—101no—
336C23×C3—201no—
337C23×C3—201no—
338C23×C3—201no—
339C23×C3—201no—
340C3×D4—21no—
341C3×D4—52no—
342C3×D4—102no—
343C3×D4—102no—
344C3×D4—101no—
345C3×D4C4⋊AGL(1,𝔽5)12yescomplemented
346C2×C3×C4—21no—
347C2×C3×C4—51no—
348C2×C3×C4—51no—
349C2×C3×C4—51no—
350C2×C3×C4—51no—
351C2×C3×C4—51no—
352C2×C3×C4—52no—
353C2×C3×C4—101no—
354C2×C3×C4—101no—
355C2×C3×C4—101no—
356C2×C3×C4—102no—
357C2×C3×C4—101no—
358C2×C3×C4—101no—
359C2×C3×C4—101no—
360C2×C3×C4—201no—
361C2×C3×C4—201no—
362C2×C3×C4—208no—
363C2×C3×C4—201no—
364C2×C3×C4—201no—
365C2×C3×C4—201no—
366C2×C3×C4—201no—
367C2×C3×C4—201no—
368C2×C3×C4C22×AGL(1,𝔽5)11yescharacteristic
369C3×C8—21no—
370C3×C8—101no—
371C3×C8—201no—
372C22×C5—22no—
373C22×C5—41no—
374C22×C5—41no—
375C22×C5C3×C4×D411yescharacteristic
376C2×D5—22no—
377C2×D5—41no—
378C2×D5—41no—
379C2×D5—42no—
380C2×D5—42no—
381C2×D5—42no—
382C2×D5—42no—
383C2×D5C3×#12011yescharacteristic
384C2×D5C3×C22⋊Q811yescharacteristic
385C2×D5C2×C3×D811yescharacteristic
386C2×D5C3×#13511yescharacteristic
387C2×D5C3×AGL(1,ℤ/8)11yescharacteristic
388C2×D5C3×#13711yescharacteristic
389AGL(1,𝔽5)—22no—
390AGL(1,𝔽5)—42no—
391AGL(1,𝔽5)—41no—
392AGL(1,𝔽5)—81no—
393C4×C5—41no—
394C4×C5C2×C3×C4⋊C411yescharacteristic
395C4×C5C3×C4×D411yescharacteristic
396Dic5—41no—
397Dic5C3×C22⋊Q811yescharacteristic
398Dic5C3×#12311yescharacteristic
399C24—101no—
400C2×D4—52no—
401C2×D4—52no—
402C2×D4—51no—
403C2×D4—101no—
404C2×D4—101no—
405C2×D4—101no—
406C2×D4C2×C3×AGL(1,𝔽5)11yescharacteristic
407C22×C4—51no—
408C22×C4—51no—
409C22×C4—51no—
410C22×C4—101no—
411C22×C4—101no—
412C22×C4—104no—
413C22×C4—101no—
414C22×C4—202no—
415C22×C4—202no—
416C2×C8—51no—
417C2×C8—101no—
418C2×C8—101no—
419C2×C8—101no—
420C2×C8—101no—
421C2×C8—101no—
422C2×C8C2×C3×AGL(1,𝔽5)11yescharacteristic, complemented
423C4⋊C4—52no—
424C4⋊C4—51no—
425C4⋊C4—101no—
426C4⋊C4—101no—
427C4⋊C4—101no—
428C4⋊C4—101no—
429C4⋊C4—202no—
430C4⋊C4C2×C3×AGL(1,𝔽5)11yescharacteristic, complemented
431C22⋊C4—104no—
432C42—101no—
433C42—101no—
434C3×C5#186211yescharacteristic, complemented, Hall
435C22×C3—22no—
436C22×C3—41no—
437C22×C3—41no—
438C22×C3—51no—
439C22×C3—51no—
440C22×C3—51no—
441C22×C3—51no—
442C22×C3—51no—
443C22×C3—51no—
444C22×C3—102no—
445C22×C3—202no—
446C22×C3—202no—
447C22×C3—202no—
448C22×C3—202no—
449C22×C3—201no—
450C22×C3—201no—
451C22×C3D4×AGL(1,𝔽5)11yescharacteristic
452C3×C4—41no—
453C3×C4—51no—
454C3×C4—51no—
455C3×C4—102no—
456C3×C4—201no—
457C3×C4—202no—
458C3×C4—201no—
459C3×C4—401no—
460C3×C4C2×C4⋊AGL(1,𝔽5)11yescharacteristic
461C3×C4D4×AGL(1,𝔽5)11yescharacteristic
462C2×C5—42no—
463C2×C5C3×#38511yescharacteristic
464C2×C5C3×C4×D811yescharacteristic
465C2×C5C3×#44011yescharacteristic
466D5—42no—
467D5C3×#44711yescharacteristic
468D5C3×#45211yescharacteristic
469D5C3×#47411yescharacteristic
470D5C3×#47811yescharacteristic
471C23—21no—
472C23—51no—
473C23—102no—
474C23—102no—
475C23—101no—
476C23—201no—
477C23—201no—
478C23—201no—
479C23—201no—
480D4—21no—
481D4—52no—
482D4—102no—
483D4—102no—
484D4—101no—
485D4C3×C4⋊AGL(1,𝔽5)12yescomplemented
486C2×C4—21no—
487C2×C4—51no—
488C2×C4—51no—
489C2×C4—51no—
490C2×C4—51no—
491C2×C4—51no—
492C2×C4—52no—
493C2×C4—101no—
494C2×C4—101no—
495C2×C4—101no—
496C2×C4—102no—
497C2×C4—101no—
498C2×C4—101no—
499C2×C4—101no—
500C2×C4—201no—
501C2×C4—201no—
502C2×C4—208no—
503C2×C4—201no—
504C2×C4—201no—
505C2×C4—201no—
506C2×C4—201no—
507C2×C4—201no—
508C2×C4C22×C3×AGL(1,𝔽5)11yescharacteristic
509C8—21no—
510C8—101no—
511C8—201no—
512C2×C3—42no—
513C2×C3—51no—
514C2×C3—51no—
515C2×C3—51no—
516C2×C3—51no—
517C2×C3—202no—
518C2×C3#6569911yescharacteristic
519C2×C3D8×AGL(1,𝔽5)11yescharacteristic
520C2×C3#6573511yescharacteristic
521C5C3×#186211yescharacteristic, complemented, Sylow
522C22—22no—
523C22—41no—
524C22—41no—
525C22—51no—
526C22—51no—
527C22—51no—
528C22—51no—
529C22—51no—
530C22—51no—
531C22—102no—
532C22—202no—
533C22—202no—
534C22—202no—
535C22—202no—
536C22—201no—
537C22—201no—
538C22C3×D4×AGL(1,𝔽5)11yescharacteristic
539C4—41no—
540C4—51no—
541C4—51no—
542C4—102no—
543C4—201no—
544C4—202no—
545C4—201no—
546C4—401no—
547C4C2×C3×C4⋊AGL(1,𝔽5)11yescharacteristic
548C4C3×D4×AGL(1,𝔽5)11yescharacteristic
549C3#1060395711yescharacteristic, direct product factor, Sylow
550C2—42no—
551C2—51no—
552C2—51no—
553C2—51no—
554C2—51no—
555C2—202no—
556C2C3×#6569911yescharacteristic
557C2C3×D8×AGL(1,𝔽5)11yescharacteristic
558C2C3×#6573511yescharacteristic
subgroupG/H
centerC22×C3D4×AGL(1,𝔽5)
commutatorC2×C4×C5C22×C3×C4
FrattiniC2×C4C22×C3×AGL(1,𝔽5)
FittingC3×C5×#102C4
socleC22×C3×C5C4×D4
prime radicalC2×C3×D4×D5C22
cosocleC2×C4×D5C23×C3
hypercenterC3×#102AGL(1,𝔽5)
hypocenterC5C3×#1862
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C22×C3 ◁ C2×C3×C4 ◁ C3×#102

Complements

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

NH ≅ G/Ntype
3. C2×C3×#3994C2semidirect
4. C3×#65712C2semidirect
6. C3×(C2×AGL(1,𝔽5))⋊C8C2semidirect
7. C3×#64874C2semidirect
8. #10603957C3direct (N × H)
24. C3×C5×#102C4semidirect
25. C3×#3964C4semidirect
26. C3×#3953C4semidirect
27. C3×#3941C4semidirect
31. C2×#3994C2×C3semidirect
32. #65712C2×C3semidirect
34. (C2×AGL(1,𝔽5))⋊C8C2×C3semidirect
35. #64874C2×C3semidirect
64. C2×C3×C5×C8C2×C4semidirect
65. C3×C5×C4⋊C4C2×C4semidirect
66. C3×C4⋊Dic5C2×C4semidirect
68. C2×C3×#168C2×C4semidirect
93. C5×#102C3×C4semidirect
94. #3964C3×C4semidirect
95. #3953C3×C4semidirect
96. #3941C3×C4semidirect
121. C3×C5×D4C4⋊C4semidirect
129. C3×D20C4⋊C4semidirect
156. C3×#102AGL(1,𝔽5)semidirect
186. C2×C5×C8C2×C3×C4semidirect
187. C5×C4⋊C4C2×C3×C4semidirect
188. C4⋊Dic5C2×C3×C4semidirect
190. C2×#168C2×C3×C4semidirect
250. C2×C3×C8C2×AGL(1,𝔽5)semidirect
258. C3×C4⋊C4C2×AGL(1,𝔽5)semidirect
285. C5×D4C3×C4⋊C4semidirect
293. D20C3×C4⋊C4semidirect
320. #102C3×AGL(1,𝔽5)semidirect
345. C3×D4C4⋊AGL(1,𝔽5)semidirect
422. C2×C8C2×C3×AGL(1,𝔽5)semidirect
430. C4⋊C4C2×C3×AGL(1,𝔽5)semidirect
434. C3×C5#1862semidirect
485. D4C3×C4⋊AGL(1,𝔽5)semidirect
521. C5C3×#1862semidirect
549. C3#10603957direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×D4×AGL(1,𝔽5)2
C2×C3×#40072
C2×C3×#39942
C3×#657122
C3×D5×#1022
C3×(C2×AGL(1,𝔽5))⋊C82
C3×#648742
#106039573
C3×#18625