Finite Group Databasebeta

← C3×#10617104 #14326692

Subgroups — C3×#10617104 #14326692

Order 1920.

1096 conjugacy classes of subgroups.

The subgroup lattice has 536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D5×C4⋊C4C211yesmaximal, characteristic
2C3×#65765C211yesmaximal, characteristic
3C3×#65765C212yesmaximal
4C3×C4×C22⋊AGL(1,𝔽5)C211yesmaximal, characteristic
5C3×C4×C22⋊AGL(1,𝔽5)C212yesmaximal
6C3×#65712C212yesmaximal, complemented
7C3×#65711C214yesmaximal, complemented
8C3×C4⋊C4×AGL(1,𝔽5)C212yesmaximal, complemented
9#10617104C311yesmaximal, characteristic, direct product factor, Hall
10C22×C3×C4×D5C2211yescharacteristic
11C22×C3×C4×D5C2212yes—
12C2×C3×C22⋊AGL(1,𝔽5)C2211yescharacteristic
13C2×C3×C22⋊AGL(1,𝔽5)C2212yes—
14C2×C3×C22⋊AGL(1,𝔽5)C2211yescharacteristic
15C2×C3×C4⋊AGL(1,𝔽5)C2212yes—
16C2×C3×C4⋊AGL(1,𝔽5)C2214yes—
17C2×C3×C4×AGL(1,𝔽5)C2212yes—
18C2×C3×C4×AGL(1,𝔽5)C2214yes—
19C2×C3×C5×C4⋊C4C411yescharacteristic, complemented
20C2×C3×C4⋊Dic5C411yescharacteristic, complemented
21C2×C3×#683C412yescomplemented
22C3×D5×C4⋊C4C411yescharacteristic, complemented
23C3×D5×C4⋊C4C411yescharacteristic, complemented
24C3×D5×C4⋊C4C412yescomplemented
25C3×D5×C4⋊C4C2211yescharacteristic
26C3×D5×C4⋊C4C2212yes—
27C3×D5×C4⋊C4C2211yescharacteristic
28C3×(C2×AGL(1,𝔽5))⋊C4C2214yes—
29C3×(C2×AGL(1,𝔽5))⋊C4C2212yes—
30C3×(C2×AGL(1,𝔽5))⋊C4C2212yes—
31C3×(C2×AGL(1,𝔽5))⋊C4C2214yes—
32C3×#2345—51nomaximal, Hall
33C2×D5×C4⋊C4C2×C311yescharacteristic
34#65765C2×C311yescharacteristic
35#65765C2×C312yes—
36C4×C22⋊AGL(1,𝔽5)C2×C311yescharacteristic
37C4×C22⋊AGL(1,𝔽5)C2×C312yes—
38#65712C2×C312yescomplemented
39#65711C2×C314yescomplemented
40C4⋊C4×AGL(1,𝔽5)C2×C312yescomplemented
41C23×C3×D5C2311yescharacteristic
42C22×C3×AGL(1,𝔽5)C2312yes—
43C22×C3×AGL(1,𝔽5)C2314yes—
44C22×C3×AGL(1,𝔽5)C2312yes—
45C22×C3×C4×C5C2×C411yescharacteristic
46C22×C3×C4×C5C2×C412yes—
47C22×C3×Dic5C2×C411yescharacteristic
48C22×C3×Dic5C2×C412yes—
49C2×C3×C4×D5—24no—
50C2×C3×C4×D5—44no—
51C2×C3×C4×D5C2×C411yescharacteristic
52C2×C3×C4×D5C2×C411yescharacteristic
53C2×C3×C4×D5C2×C412yes—
54C2×C3×C4×D5C2×C412yes—
55C2×C3×C4×D5C2312yes—
56C2×C3×C4×D5C2312yes—
57C2×C3×C4×D5C2311yescharacteristic
58C2×C3×C4×D5C2311yescharacteristic
59C3×C22⋊AGL(1,𝔽5)—22no—
60C3×C22⋊AGL(1,𝔽5)—24no—
61C3×C22⋊AGL(1,𝔽5)Q814yes—
62C3×C4⋊AGL(1,𝔽5)—24no—
63C3×C4⋊AGL(1,𝔽5)—44no—
64C3×C4×AGL(1,𝔽5)—24no—
65C3×C4×AGL(1,𝔽5)—44no—
66C3×C5×C4⋊C4C2×C412yes—
67C3×C5×C4⋊C4C2×C411yescharacteristic
68C3×C5×C4⋊C4C2×C411yescharacteristic
69C3×C4⋊Dic5C2×C412yes—
70C3×C4⋊Dic5C2×C411yescharacteristic
71C3×C4⋊Dic5C2×C411yescharacteristic
72C3×#683C2×C412yes—
73C3×#683C2×C412yes—
74C3×#683C2×C412yes—
75C3×#683C2×C412yes—
76C22×C3×C4⋊C4—51no—
77C3×#389—52no—
78C3×#387—54no—
79C3×#380—52no—
80C3×#380—51no—
81C3×C4×C4⋊C4—52no—
82C3×C4×C22⋊C4—51no—
83C3×C4×C22⋊C4—52no—
84C22×C4×D5C22×C311yescharacteristic
85C22×C4×D5C22×C312yes—
86C2×C22⋊AGL(1,𝔽5)C22×C311yescharacteristic
87C2×C22⋊AGL(1,𝔽5)C22×C312yes—
88C2×C22⋊AGL(1,𝔽5)C22×C311yescharacteristic
89C2×C4⋊AGL(1,𝔽5)C22×C312yes—
90C2×C4⋊AGL(1,𝔽5)C22×C314yes—
91C2×C4×AGL(1,𝔽5)C22×C312yes—
92C2×C4×AGL(1,𝔽5)C22×C314yes—
93C2×C5×C4⋊C4C3×C411yescharacteristic, complemented
94C2×C4⋊Dic5C3×C411yescharacteristic, complemented
95C2×#683C3×C412yescomplemented
96D5×C4⋊C4C3×C411yescharacteristic, complemented
97D5×C4⋊C4C3×C411yescharacteristic, complemented
98D5×C4⋊C4C3×C412yescomplemented
99D5×C4⋊C4C22×C311yescharacteristic
100D5×C4⋊C4C22×C312yes—
101D5×C4⋊C4C22×C311yescharacteristic
102(C2×AGL(1,𝔽5))⋊C4C22×C314yes—
103(C2×AGL(1,𝔽5))⋊C4C22×C312yes—
104(C2×AGL(1,𝔽5))⋊C4C22×C312yes—
105(C2×AGL(1,𝔽5))⋊C4C22×C314yes—
106#2345—51noSylow
107C23×C3×C5C22×C411yescharacteristic
108C22×C3×D5—22no—
109C22×C3×D5—22no—
110C22×C3×D5C22×C411yescharacteristic
111C22×C3×D5C2×Q812yes—
112C22×C3×D5#4112yes—
113C22×C3×D5C2411yescharacteristic
114C2×C3×AGL(1,𝔽5)—22no—
115C2×C3×AGL(1,𝔽5)—22no—
116C2×C3×AGL(1,𝔽5)—22no—
117C2×C3×AGL(1,𝔽5)—24no—
118C2×C3×AGL(1,𝔽5)—22no—
119C2×C3×AGL(1,𝔽5)—24no—
120C2×C3×AGL(1,𝔽5)—24no—
121C2×C3×AGL(1,𝔽5)—22no—
122C2×C3×AGL(1,𝔽5)C2×Q814yes—
123C2×C3×C4×C5—22no—
124C2×C3×C4×C5—42no—
125C2×C3×C4×C5C22×C412yes—
126C2×C3×C4×C5C22×C412yes—
127C2×C3×C4×C5C22×C411yescharacteristic
128C2×C3×C4×C5C22×C411yescharacteristic
129C2×C3×Dic5—22no—
130C2×C3×Dic5—42no—
131C2×C3×Dic5C22×C411yescharacteristic
132C2×C3×Dic5C22×C412yes—
133C2×C3×Dic5C22×C412yes—
134C2×C3×Dic5C22×C411yescharacteristic
135C3×C4×D5—22no—
136C3×C4×D5—24no—
137C3×C4×D5—24no—
138C3×C4×D5—22no—
139C3×C4×D5—22no—
140C3×C4×D5—42no—
141C3×C4×D5—42no—
142C3×C4×D5#4114yes—
143C23×C3×C4—51no—
144C23×C3×C4—52no—
145C2×C3×C4⋊C4—52no—
146C2×C3×C4⋊C4—51no—
147C2×C3×C4⋊C4—51no—
148C2×C3×C4⋊C4—52no—
149C2×C3×C4⋊C4—51no—
150C2×C3×C4⋊C4—52no—
151C2×C3×C4⋊C4—51no—
152C2×C3×C4⋊C4—51no—
153C2×C3×C4⋊C4—52no—
154C2×C3×C4⋊C4—54no—
155C2×C3×C4⋊C4AGL(1,𝔽5)11yescharacteristic, complemented
156C2×C3×C22⋊C4—51no—
157C2×C3×C22⋊C4—51no—
158C2×C3×C22⋊C4—52no—
159C2×C3×C42—52no—
160C2×C3×C42—54no—
161C3×#95—52no—
162C3×#95—54no—
163C3×#95—54no—
164C3×#95—52no—
165C23×D5C23×C311yescharacteristic
166C22×AGL(1,𝔽5)C23×C312yes—
167C22×AGL(1,𝔽5)C23×C314yes—
168C22×AGL(1,𝔽5)C23×C312yes—
169C22×C4×C5C2×C3×C411yescharacteristic
170C22×C4×C5C2×C3×C412yes—
171C22×Dic5C2×C3×C411yescharacteristic
172C22×Dic5C2×C3×C412yes—
173C2×C4×D5—24no—
174C2×C4×D5—44no—
175C2×C4×D5C2×C3×C411yescharacteristic
176C2×C4×D5C2×C3×C411yescharacteristic
177C2×C4×D5C2×C3×C412yes—
178C2×C4×D5C2×C3×C412yes—
179C2×C4×D5C23×C312yes—
180C2×C4×D5C23×C312yes—
181C2×C4×D5C23×C311yescharacteristic
182C2×C4×D5C23×C311yescharacteristic
183C22⋊AGL(1,𝔽5)—22no—
184C22⋊AGL(1,𝔽5)—24no—
185C22⋊AGL(1,𝔽5)C3×Q814yes—
186C4⋊AGL(1,𝔽5)—24no—
187C4⋊AGL(1,𝔽5)—44no—
188C4×AGL(1,𝔽5)—24no—
189C4×AGL(1,𝔽5)—44no—
190C5×C4⋊C4C2×C3×C412yes—
191C5×C4⋊C4C2×C3×C411yescharacteristic
192C5×C4⋊C4C2×C3×C411yescharacteristic
193C4⋊Dic5C2×C3×C412yes—
194C4⋊Dic5C2×C3×C411yescharacteristic
195C4⋊Dic5C2×C3×C411yescharacteristic
196#683C2×C3×C412yes—
197#683C2×C3×C412yes—
198#683C2×C3×C412yes—
199#683C2×C3×C412yes—
200C22×C4⋊C4—51no—
201#389—52no—
202#387—54no—
203#380—52no—
204#380—51no—
205C4×C4⋊C4—52no—
206C4×C22⋊C4—51no—
207C4×C22⋊C4—52no—
208C22×C3×C5—21no—
209C22×C3×C5—21no—
210C22×C3×C5C4×Q812yes—
211C22×C3×C5C23×C411yescharacteristic
212C2×C3×D5—21no—
213C2×C3×D5—21no—
214C2×C3×D5—24no—
215C2×C3×D5—24no—
216C2×C3×D5C4×Q812yes—
217C2×C3×D5C22×Q811yescharacteristic
218C2×C3×D5C2×#4111yescharacteristic
219C2×C3×D5C2×#4112yes—
220C2×C3×D5H(5,𝔽2)12yes—
221C3×AGL(1,𝔽5)—24no—
222C3×AGL(1,𝔽5)—42no—
223C3×AGL(1,𝔽5)—44no—
224C3×C4×C5—21no—
225C3×C4×C5—22no—
226C3×C4×C5—22no—
227C3×C4×C5#11712yes—
228C3×Dic5—21no—
229C3×Dic5—22no—
230C3×Dic5—22no—
231C3×Dic5#11712yes—
232C24×C3—51no—
233C22×C3×C4—51no—
234C22×C3×C4—52no—
235C22×C3×C4—51no—
236C22×C3×C4—52no—
237C22×C3×C4—51no—
238C22×C3×C4—52no—
239C22×C3×C4—52no—
240C22×C3×C4—51no—
241C22×C3×C4—51no—
242C22×C3×C4—52no—
243C22×C3×C4—52no—
244C22×C3×C4—52no—
245C22×C3×C4—54no—
246C22×C3×C4—104no—
247C22×C3×C4—204no—
248C22×C3×C4C2×AGL(1,𝔽5)11yescharacteristic
249C22×C3×C4C2×AGL(1,𝔽5)12yes—
250C3×C4⋊C4—52no—
251C3×C4⋊C4—52no—
252C3×C4⋊C4—52no—
253C3×C4⋊C4—52no—
254C3×C4⋊C4—52no—
255C3×C4⋊C4—51no—
256C3×C4⋊C4—51no—
257C3×C4⋊C4—104no—
258C3×C4⋊C4—204no—
259C3×C4⋊C4C2×AGL(1,𝔽5)12yes—
260C3×C4⋊C4C2×AGL(1,𝔽5)11yescharacteristic
261C3×C4⋊C4C2×AGL(1,𝔽5)11yescharacteristic
262C3×C22⋊C4—54no—
263C3×C22⋊C4—102no—
264C3×C22⋊C4—104no—
265C3×C42—104no—
266C3×C42—204no—
267C23×C5C22×C3×C411yescharacteristic
268C22×D5—22no—
269C22×D5—22no—
270C22×D5C22×C3×C411yescharacteristic
271C22×D5C2×C3×Q812yes—
272C22×D5C3×#4112yes—
273C22×D5C24×C311yescharacteristic
274C2×AGL(1,𝔽5)—22no—
275C2×AGL(1,𝔽5)—22no—
276C2×AGL(1,𝔽5)—22no—
277C2×AGL(1,𝔽5)—24no—
278C2×AGL(1,𝔽5)—22no—
279C2×AGL(1,𝔽5)—24no—
280C2×AGL(1,𝔽5)—24no—
281C2×AGL(1,𝔽5)—22no—
282C2×AGL(1,𝔽5)C2×C3×Q814yes—
283C2×C4×C5—22no—
284C2×C4×C5—42no—
285C2×C4×C5C22×C3×C412yes—
286C2×C4×C5C22×C3×C412yes—
287C2×C4×C5C22×C3×C411yescharacteristic
288C2×C4×C5C22×C3×C411yescharacteristic
289C2×Dic5—22no—
290C2×Dic5—42no—
291C2×Dic5C22×C3×C411yescharacteristic
292C2×Dic5C22×C3×C412yes—
293C2×Dic5C22×C3×C412yes—
294C2×Dic5C22×C3×C411yescharacteristic
295C4×D5—22no—
296C4×D5—24no—
297C4×D5—24no—
298C4×D5—22no—
299C4×D5—22no—
300C4×D5—42no—
301C4×D5—42no—
302C4×D5C3×#4114yes—
303C23×C4—51no—
304C23×C4—52no—
305C2×C4⋊C4—52no—
306C2×C4⋊C4—51no—
307C2×C4⋊C4—51no—
308C2×C4⋊C4—52no—
309C2×C4⋊C4—51no—
310C2×C4⋊C4—52no—
311C2×C4⋊C4—51no—
312C2×C4⋊C4—51no—
313C2×C4⋊C4—52no—
314C2×C4⋊C4—54no—
315C2×C4⋊C4C3×AGL(1,𝔽5)11yescharacteristic, complemented
316C2×C22⋊C4—51no—
317C2×C22⋊C4—51no—
318C2×C22⋊C4—52no—
319C2×C42—52no—
320C2×C42—54no—
321#95—52no—
322#95—54no—
323#95—54no—
324#95—52no—
325C2×C3×C5—22no—
326C2×C3×C5C2×#11711yescharacteristic
327C2×C3×C5C2×C4×Q811yescharacteristic
328C2×C3×C5#51811yescharacteristic
329C3×D5—22no—
330C3×D5#55312yes—
331C3×D5#55412yes—
332C23×C3—51no—
333C23×C3—52no—
334C23×C3—52no—
335C23×C3—51no—
336C23×C3—102no—
337C23×C3—102no—
338C23×C3C22×AGL(1,𝔽5)11yescharacteristic
339C2×C3×C4—22no—
340C2×C3×C4—42no—
341C2×C3×C4—51no—
342C2×C3×C4—54no—
343C2×C3×C4—54no—
344C2×C3×C4—51no—
345C2×C3×C4—52no—
346C2×C3×C4—52no—
347C2×C3×C4—102no—
348C2×C3×C4—104no—
349C2×C3×C4—104no—
350C2×C3×C4—102no—
351C2×C3×C4—102no—
352C2×C3×C4—102no—
353C2×C3×C4—102no—
354C2×C3×C4—102no—
355C2×C3×C4—102no—
356C2×C3×C4—104no—
357C2×C3×C4—102no—
358C2×C3×C4—104no—
359C2×C3×C4—104no—
360C2×C3×C4—102no—
361C2×C3×C4—202no—
362C2×C3×C4—202no—
363C2×C3×C4—202no—
364C2×C3×C4C22×AGL(1,𝔽5)11yescharacteristic
365C2×C3×C4C22×AGL(1,𝔽5)12yes—
366C2×C3×C4C22×AGL(1,𝔽5)12yes—
367C2×C3×C4C22×AGL(1,𝔽5)11yescharacteristic
368C22×C5—21no—
369C22×C5—21no—
370C22×C5C3×C4×Q812yes—
371C22×C5C23×C3×C411yescharacteristic
372C2×D5—21no—
373C2×D5—21no—
374C2×D5—24no—
375C2×D5—24no—
376C2×D5C3×C4×Q812yes—
377C2×D5C22×C3×Q811yescharacteristic
378C2×D5C2×C3×#4111yescharacteristic
379C2×D5C2×C3×#4112yes—
380C2×D5C3×H(5,𝔽2)12yes—
381AGL(1,𝔽5)—24no—
382AGL(1,𝔽5)—42no—
383AGL(1,𝔽5)—44no—
384C4×C5—21no—
385C4×C5—22no—
386C4×C5—22no—
387C4×C5C3×#11712yes—
388Dic5—21no—
389Dic5—22no—
390Dic5—22no—
391Dic5C3×#11712yes—
392C24—51no—
393C22×C4—51no—
394C22×C4—52no—
395C22×C4—51no—
396C22×C4—52no—
397C22×C4—51no—
398C22×C4—52no—
399C22×C4—52no—
400C22×C4—51no—
401C22×C4—51no—
402C22×C4—52no—
403C22×C4—52no—
404C22×C4—52no—
405C22×C4—54no—
406C22×C4—104no—
407C22×C4—204no—
408C22×C4C2×C3×AGL(1,𝔽5)11yescharacteristic
409C22×C4C2×C3×AGL(1,𝔽5)12yes—
410C4⋊C4—52no—
411C4⋊C4—52no—
412C4⋊C4—52no—
413C4⋊C4—52no—
414C4⋊C4—52no—
415C4⋊C4—51no—
416C4⋊C4—51no—
417C4⋊C4—104no—
418C4⋊C4—204no—
419C4⋊C4C2×C3×AGL(1,𝔽5)12yes—
420C4⋊C4C2×C3×AGL(1,𝔽5)11yescharacteristic
421C4⋊C4C2×C3×AGL(1,𝔽5)11yescharacteristic
422C22⋊C4—54no—
423C22⋊C4—102no—
424C22⋊C4—104no—
425C42—104no—
426C42—204no—
427C3×C5#234511yescharacteristic, complemented, Hall
428C22×C3—21no—
429C22×C3—21no—
430C22×C3—52no—
431C22×C3—52no—
432C22×C3—51no—
433C22×C3—51no—
434C22×C3—52no—
435C22×C3—104no—
436C22×C3—104no—
437C22×C3—101no—
438C22×C3—101no—
439C22×C3Q8×AGL(1,𝔽5)12yes—
440C22×C3C23×AGL(1,𝔽5)11yescharacteristic
441C3×C4—21no—
442C3×C4—22no—
443C3×C4—22no—
444C3×C4—52no—
445C3×C4—104no—
446C3×C4—101no—
447C3×C4—102no—
448C3×C4—102no—
449C3×C4—202no—
450C3×C4—204no—
451C3×C4#413012yes—
452C2×C5—22no—
453C2×C5C2×C3×#11711yescharacteristic
454C2×C5C2×C3×C4×Q811yescharacteristic
455C2×C5C3×#51811yescharacteristic
456D5—22no—
457D5C3×#55312yes—
458D5C3×#55412yes—
459C23—51no—
460C23—52no—
461C23—52no—
462C23—51no—
463C23—102no—
464C23—102no—
465C23C22×C3×AGL(1,𝔽5)11yescharacteristic
466C2×C4—22no—
467C2×C4—42no—
468C2×C4—51no—
469C2×C4—54no—
470C2×C4—54no—
471C2×C4—51no—
472C2×C4—52no—
473C2×C4—52no—
474C2×C4—102no—
475C2×C4—104no—
476C2×C4—104no—
477C2×C4—102no—
478C2×C4—102no—
479C2×C4—102no—
480C2×C4—102no—
481C2×C4—102no—
482C2×C4—102no—
483C2×C4—104no—
484C2×C4—102no—
485C2×C4—104no—
486C2×C4—104no—
487C2×C4—102no—
488C2×C4—202no—
489C2×C4—202no—
490C2×C4—202no—
491C2×C4C22×C3×AGL(1,𝔽5)11yescharacteristic
492C2×C4C22×C3×AGL(1,𝔽5)12yes—
493C2×C4C22×C3×AGL(1,𝔽5)12yes—
494C2×C4C22×C3×AGL(1,𝔽5)11yescharacteristic
495C2×C3—22no—
496C2×C3—52no—
497C2×C3—52no—
498C2×C3—102no—
499C2×C3C2×#413011yescharacteristic
500C2×C3#6625811yescharacteristic
501C2×C3C2×Q8×AGL(1,𝔽5)11yescharacteristic
502C5C3×#234511yescharacteristic, complemented, Sylow
503C22—21no—
504C22—21no—
505C22—52no—
506C22—52no—
507C22—51no—
508C22—51no—
509C22—52no—
510C22—104no—
511C22—104no—
512C22—101no—
513C22—101no—
514C22C3×Q8×AGL(1,𝔽5)12yes—
515C22C23×C3×AGL(1,𝔽5)11yescharacteristic
516C4—21no—
517C4—22no—
518C4—22no—
519C4—52no—
520C4—104no—
521C4—101no—
522C4—102no—
523C4—102no—
524C4—202no—
525C4—204no—
526C4C3×#413012yes—
527C3#1061710411yescharacteristic, direct product factor, Sylow
528C2—22no—
529C2—52no—
530C2—52no—
531C2—102no—
532C2C2×C3×#413011yescharacteristic
533C2C3×#6625811yescharacteristic
534C2C2×C3×Q8×AGL(1,𝔽5)11yescharacteristic
subgroupG/H
centerC22×C3C23×AGL(1,𝔽5)
commutatorC22×C5C23×C3×C4
FrattiniC22C23×C3×AGL(1,𝔽5)
FittingC2×C3×C5×C4⋊C4C4
socleC22×C3×C5C23×C4
prime radicalC23×C3×D5C23
cosocleC22×D5C24×C3
hypercenterC2×C3×C4⋊C4AGL(1,𝔽5)
hypocenterC5C3×#2345
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C22×C3 ◁ C2×C3×C4⋊C4

Complements

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

NH ≅ G/Ntype
6. C3×#65712C2semidirect
7. C3×#65711C2semidirect
8. C3×C4⋊C4×AGL(1,𝔽5)C2semidirect
9. #10617104C3direct (N × H)
19. C2×C3×C5×C4⋊C4C4semidirect
20. C2×C3×C4⋊Dic5C4semidirect
21. C2×C3×#683C4semidirect
22. C3×D5×C4⋊C4C4semidirect
23. C3×D5×C4⋊C4C4semidirect
24. C3×D5×C4⋊C4C4semidirect
38. #65712C2×C3semidirect
39. #65711C2×C3semidirect
40. C4⋊C4×AGL(1,𝔽5)C2×C3semidirect
93. C2×C5×C4⋊C4C3×C4semidirect
94. C2×C4⋊Dic5C3×C4semidirect
95. C2×#683C3×C4semidirect
96. D5×C4⋊C4C3×C4semidirect
97. D5×C4⋊C4C3×C4semidirect
98. D5×C4⋊C4C3×C4semidirect
155. C2×C3×C4⋊C4AGL(1,𝔽5)semidirect
315. C2×C4⋊C4C3×AGL(1,𝔽5)semidirect
427. C3×C5#2345semidirect
502. C5C3×#2345semidirect
527. C3#10617104direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×D5×C4⋊C42
C3×#657652
C3×C4×C22⋊AGL(1,𝔽5)2
C3×#657122
C3×#657112
C3×C4⋊C4×AGL(1,𝔽5)2
#106171043
C3×#23455