Finite Group Databasebeta

← C2×#10604343 #13027910

Subgroups — C2×#10604343 #13027910

Order 1280.

3550 conjugacy classes of subgroups.

The subgroup lattice has 630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×C4×AGL(1,𝔽5)C211yesmaximal, characteristic
2C22×D5×C4⋊C4C211yesmaximal, characteristic
3C22×(C2×AGL(1,𝔽5))⋊C4C212yesmaximal
4C22×(C2×AGL(1,𝔽5))⋊C4C211yesmaximal, characteristic
5C22×(C2×AGL(1,𝔽5))⋊C4C212yesmaximal
6#10604343C218yesmaximal, direct product factor
7C24×AGL(1,𝔽5)C2212yes—
8C24×AGL(1,𝔽5)C2212yes—
9C23×C4×D5C2211yescharacteristic
10C23×C4×D5C2211yescharacteristic
11C23×C4×D5C2211yescharacteristic
12C22×C4×AGL(1,𝔽5)—28no—
13C22×C4×AGL(1,𝔽5)—24no—
14C22×C4×AGL(1,𝔽5)C2214yes—
15C22×C5×C4⋊C4C411yescharacteristic, complemented
16C22×C4⋊Dic5C411yescharacteristic, complemented
17C22×#683C411yescharacteristic, complemented
18C22×#683C411yescharacteristic, complemented
19C2×D5×C4⋊C4—24no—
20C2×D5×C4⋊C4—24no—
21C2×D5×C4⋊C4C414yescomplemented
22C2×D5×C4⋊C4C2214yes—
23C2×(C2×AGL(1,𝔽5))⋊C4—28no—
24C2×(C2×AGL(1,𝔽5))⋊C4—24no—
25C2×(C2×AGL(1,𝔽5))⋊C4C4116yescomplemented
26C2×(C2×AGL(1,𝔽5))⋊C4C2218yes—
27C2×(C2×AGL(1,𝔽5))⋊C4C2214yes—
28C2×(C2×AGL(1,𝔽5))⋊C4C2218yes—
29C2×#1436—51nomaximal, Sylow
30C24×D5C2311yescharacteristic
31C23×AGL(1,𝔽5)—24no—
32C23×AGL(1,𝔽5)—24no—
33C23×AGL(1,𝔽5)—24no—
34C23×AGL(1,𝔽5)—24no—
35C23×AGL(1,𝔽5)—24no—
36C23×AGL(1,𝔽5)—24no—
37C23×AGL(1,𝔽5)—24no—
38C23×AGL(1,𝔽5)—24no—
39C23×AGL(1,𝔽5)—24no—
40C23×AGL(1,𝔽5)—24no—
41C23×AGL(1,𝔽5)C2×C418yes—
42C23×AGL(1,𝔽5)C2×C418yes—
43C23×AGL(1,𝔽5)D418yes—
44C23×AGL(1,𝔽5)Q818yes—
45C23×AGL(1,𝔽5)C2314yes—
46C23×AGL(1,𝔽5)C2314yes—
47C23×C4×C5C2×C411yescharacteristic
48C23×C4×C5C2×C411yescharacteristic
49C23×C4×C5C2×C411yescharacteristic
50C23×Dic5C2×C411yescharacteristic
51C23×Dic5C2×C411yescharacteristic
52C23×Dic5C2×C411yescharacteristic
53C22×C4×D5—22no—
54C22×C4×D5—22no—
55C22×C4×D5—24no—
56C22×C4×D5—24no—
57C22×C4×D5—24no—
58C22×C4×D5—22no—
59C22×C4×D5—22no—
60C22×C4×D5—24no—
61C22×C4×D5—24no—
62C22×C4×D5C2×C412yes—
63C22×C4×D5C2×C412yes—
64C22×C4×D5C2×C418yes—
65C22×C4×D5C2×C412yes—
66C22×C4×D5D414yes—
67C22×C4×D5D414yes—
68C22×C4×D5C2312yes—
69C22×C4×D5C2312yes—
70C22×C4×D5C2312yes—
71C2×C4×AGL(1,𝔽5)—232no—
72C2×C4×AGL(1,𝔽5)—216no—
73C2×C4×AGL(1,𝔽5)—28no—
74C2×C5×C4⋊C4—24no—
75C2×C5×C4⋊C4C2×C414yescomplemented
76C2×C4⋊Dic5—24no—
77C2×C4⋊Dic5C2×C414yescomplemented
78C2×#683—24no—
79C2×#683—24no—
80C2×#683C2×C414yescomplemented
81C2×#683C2×C414yescomplemented
82D5×C4⋊C4—216no—
83D5×C4⋊C4—28no—
84D5×C4⋊C4—28no—
85(C2×AGL(1,𝔽5))⋊C4—216no—
86(C2×AGL(1,𝔽5))⋊C4—28no—
87(C2×AGL(1,𝔽5))⋊C4C2×C4132yescomplemented
88C23×C4⋊C4—51no—
89C23×C42—51no—
90C22×#95—52no—
91C22×#95—52no—
92C22×#95—51no—
93#1436—58no—
94C24×C5C22×C411yescharacteristic
95C23×D5C22×C411yescharacteristic
96C23×D5C22×C414yes—
97C23×D5C2×D412yes—
98C23×D5C2×D412yes—
99C23×D5C2×D414yes—
100C23×D5C2×Q814yes—
101C23×D5#4114yes—
102C23×D5#4114yes—
103C23×D5#4114yes—
104C23×D5C2411yescharacteristic
105C22×AGL(1,𝔽5)—216no—
106C22×AGL(1,𝔽5)—216no—
107C22×AGL(1,𝔽5)—216no—
108C22×AGL(1,𝔽5)—216no—
109C22×AGL(1,𝔽5)—216no—
110C22×AGL(1,𝔽5)—216no—
111C22×AGL(1,𝔽5)—24no—
112C22×AGL(1,𝔽5)—24no—
113C22×AGL(1,𝔽5)—24no—
114C22×AGL(1,𝔽5)—24no—
115C22×AGL(1,𝔽5)—216no—
116C22×AGL(1,𝔽5)—216no—
117C22×AGL(1,𝔽5)—216no—
118C22×AGL(1,𝔽5)—24no—
119C22×AGL(1,𝔽5)—24no—
120C22×AGL(1,𝔽5)—24no—
121C22×AGL(1,𝔽5)—24no—
122C22×AGL(1,𝔽5)—24no—
123C22×AGL(1,𝔽5)—24no—
124C22×AGL(1,𝔽5)—48no—
125C22×AGL(1,𝔽5)—48no—
126C22×AGL(1,𝔽5)—48no—
127C22×AGL(1,𝔽5)—48no—
128C22×AGL(1,𝔽5)C4⋊C4132yescomplemented
129C22×AGL(1,𝔽5)C22×C418yes—
130C22×AGL(1,𝔽5)C22×C418yes—
131C22×AGL(1,𝔽5)C2×D418yes—
132C22×AGL(1,𝔽5)C2×Q818yes—
133C22×C4×C5—22no—
134C22×C4×C5—22no—
135C22×C4×C5—24no—
136C22×C4×C5—22no—
137C22×C4×C5—24no—
138C22×C4×C5C4214yescomplemented
139C22×C4×C5C22⋊C414yes—
140C22×C4×C5C22×C412yes—
141C22×C4×C5C22×C412yes—
142C22×C4×C5C22×C412yes—
143C22×Dic5—22no—
144C22×Dic5—22no—
145C22×Dic5—24no—
146C22×Dic5—22no—
147C22×Dic5—24no—
148C22×Dic5C4214yescomplemented
149C22×Dic5C22⋊C414yes—
150C22×Dic5C22×C412yes—
151C22×Dic5C22×C412yes—
152C22×Dic5C22×C412yes—
153C2×C4×D5—24no—
154C2×C4×D5—24no—
155C2×C4×D5—216no—
156C2×C4×D5—216no—
157C2×C4×D5—28no—
158C2×C4×D5—28no—
159C2×C4×D5—216no—
160C2×C4×D5—28no—
161C2×C4×D5—24no—
162C2×C4×D5—22no—
163C2×C4×D5—22no—
164C2×C4×D5—24no—
165C2×C4×D5—24no—
166C2×C4×D5—24no—
167C2×C4×D5—28no—
168C2×C4×D5—24no—
169C2×C4×D5—22no—
170C2×C4×D5—22no—
171C2×C4×D5—24no—
172C2×C4×D5—44no—
173C2×C4×D5—48no—
174C2×C4×D5—44no—
175C2×C4×D5C4218yescomplemented
176C2×C4×D5C22⋊C418yes—
177C2×C4×D5C22×C418yes—
178C2×C4×D5C2×D414yes—
179C2×C4×D5C2×D414yes—
180C4×AGL(1,𝔽5)—232no—
181C5×C4⋊C4—28no—
182C4⋊Dic5—28no—
183#683—28no—
184#683—28no—
185C24×C4—52no—
186C24×C4—51no—
187C24×C4—51no—
188C24×C4—52no—
189C24×C4—51no—
190C22×C4⋊C4—51no—
191C22×C4⋊C4—51no—
192C22×C4⋊C4—51no—
193C22×C4⋊C4—54no—
194C22×C4⋊C4—54no—
195C22×C4⋊C4—104no—
196C22×C4⋊C4—104no—
197C22×C4⋊C4AGL(1,𝔽5)11yescharacteristic, complemented
198C22×C42—54no—
199C22×C42—108no—
200C22×C42—104no—
201C2×#95—58no—
202C2×#95—516no—
203C2×#95—58no—
204C2×#95—54no—
205C2×#95—108no—
206C2×#95—104no—
207C23×C5C2×C4212yes—
208C23×C5C2×C22⋊C412yes—
209C23×C5#11712yes—
210C23×C5C4×D414yes—
211C23×C5C4×Q814yes—
212C23×C5C23×C411yescharacteristic
213C22×D5C2×C4212yes—
214C22×D5C2×C22⋊C412yes—
215C22×D5C2×C4⋊C418yes—
216C22×D5#11718yes—
217C22×D5#11712yes—
218C22×D5C4×D418yes—
219C22×D5C4×D418yes—
220C22×D5C4×D418yes—
221C22×D5C4×D414yes—
222C22×D5C4×Q818yes—
223C22×D5C4×Q814yes—
224C22×D5#12014yes—
225C22×D5#12118yes—
226C22×D5C22⋊Q818yes—
227C22×D5C22⋊Q818yes—
228C22×D5#12318yes—
229C22×D5#12314yes—
230C22×D5#12414yes—
231C22×D5#12518yes—
232C22×D5#12618yes—
233C22×D5C4⋊Q814yes—
234C22×D5C23×C412yes—
235C22×D5C22×D412yes—
236C22×D5C22×D411yescharacteristic
237C22×D5C22×D411yescharacteristic
238C22×D5C22×Q812yes—
239C22×D5C2×#4112yes—
240C22×D5C2×#4112yes—
241C22×D5C2×#4112yes—
242C2×AGL(1,𝔽5)—28no—
243C2×AGL(1,𝔽5)—28no—
244C2×AGL(1,𝔽5)—28no—
245C2×AGL(1,𝔽5)—28no—
246C2×AGL(1,𝔽5)—28no—
247C2×AGL(1,𝔽5)—28no—
248C2×AGL(1,𝔽5)—264no—
249C2×AGL(1,𝔽5)—28no—
250C2×AGL(1,𝔽5)—28no—
251C2×AGL(1,𝔽5)—28no—
252C2×AGL(1,𝔽5)—44no—
253C2×AGL(1,𝔽5)—44no—
254C2×AGL(1,𝔽5)—44no—
255C2×AGL(1,𝔽5)—44no—
256C2×AGL(1,𝔽5)—432no—
257C2×AGL(1,𝔽5)C2×C4⋊C4116yescomplemented
258C2×C4×C5—22no—
259C2×C4×C5—22no—
260C2×C4×C5—24no—
261C2×C4×C5—28no—
262C2×C4×C5—28no—
263C2×C4×C5—22no—
264C2×C4×C5—24no—
265C2×C4×C5—44no—
266C2×C4×C5C2×C4214yescomplemented
267C2×C4×C5C2×C22⋊C414yes—
268C2×Dic5—22no—
269C2×Dic5—22no—
270C2×Dic5—24no—
271C2×Dic5—28no—
272C2×Dic5—28no—
273C2×Dic5—22no—
274C2×Dic5—24no—
275C2×Dic5—44no—
276C2×Dic5C2×C4214yescomplemented
277C2×Dic5C2×C22⋊C414yes—
278C4×D5—28no—
279C4×D5—28no—
280C4×D5—24no—
281C4×D5—28no—
282C4×D5—24no—
283C4×D5—216no—
284C4×D5—216no—
285C4×D5—42no—
286C4×D5—44no—
287C4×D5—42no—
288C4×D5—48no—
289C25—51no—
290C23×C4—58no—
291C23×C4—58no—
292C23×C4—58no—
293C23×C4—54no—
294C23×C4—51no—
295C23×C4—51no—
296C23×C4—58no—
297C23×C4—54no—
298C23×C4—54no—
299C23×C4—52no—
300C23×C4—52no—
301C23×C4—52no—
302C23×C4—52no—
303C23×C4—58no—
304C23×C4—54no—
305C23×C4—51no—
306C23×C4—52no—
307C23×C4—52no—
308C23×C4—102no—
309C23×C4—102no—
310C23×C4—104no—
311C23×C4—104no—
312C23×C4—104no—
313C23×C4—102no—
314C23×C4—102no—
315C23×C4—104no—
316C23×C4—104no—
317C23×C4—104no—
318C23×C4—104no—
319C23×C4—104no—
320C23×C4—104no—
321C23×C4—104no—
322C23×C4—104no—
323C23×C4—104no—
324C23×C4—104no—
325C23×C4—104no—
326C23×C4—104no—
327C23×C4C2×AGL(1,𝔽5)11yescharacteristic
328C23×C4C2×AGL(1,𝔽5)11yescharacteristic
329C23×C4C2×AGL(1,𝔽5)11yescharacteristic
330C2×C4⋊C4—24no—
331C2×C4⋊C4—54no—
332C2×C4⋊C4—54no—
333C2×C4⋊C4—54no—
334C2×C4⋊C4—108no—
335C2×C4⋊C4—108no—
336C2×C4⋊C4—1016no—
337C2×C4⋊C4—104no—
338C2×C4⋊C4—104no—
339C2×C4⋊C4—104no—
340C2×C4⋊C4C2×AGL(1,𝔽5)14yescomplemented
341C2×C42—1016no—
342C2×C42—108no—
343C2×C42—1032no—
344#95—532no—
345#95—1016no—
346#95—108no—
347C22×C5C4×C22⋊C414yes—
348C22×C5C4×C4⋊C418yes—
349C22×C5#38614yes—
350C22×C5#38718yes—
351C22×C5#39114yes—
352C22×C5C22×C4211yescharacteristic
353C22×C5C22×C22⋊C411yescharacteristic
354C22×C5C2×#11711yescharacteristic
355C22×C5C2×C4×D412yes—
356C22×C5C2×C4×Q812yes—
357C2×D5C4×C22⋊C414yes—
358C2×D5C4×C4⋊C418yes—
359C2×D5#385116yes—
360C2×D5#38614yes—
361C2×D5#38718yes—
362C2×D5#387116yes—
363C2×D5#388116yes—
364C2×D5#389116yes—
365C2×D5#39114yes—
366C2×D5C22×C4⋊C412yes—
367C2×D5C2×#11712yes—
368C2×D5C2×C4×D412yes—
369C2×D5C2×C4×D412yes—
370C2×D5C2×C4×D412yes—
371C2×D5C2×C4×Q812yes—
372C2×D5C2×#12011yescharacteristic
373C2×D5C2×#12112yes—
374C2×D5C2×C22⋊Q812yes—
375C2×D5C2×C22⋊Q812yes—
376C2×D5C2×#12312yes—
377C2×D5C2×#12311yescharacteristic
378C2×D5C2×#12411yescharacteristic
379C2×D5C2×#12512yes—
380C2×D5C2×#12612yes—
381C2×D5C2×C4⋊Q811yescharacteristic
382AGL(1,𝔽5)—216no—
383AGL(1,𝔽5)—48no—
384C4×C5—24no—
385C4×C5—24no—
386C4×C5—42no—
387Dic5—24no—
388Dic5—24no—
389Dic5—42no—
390C24—54no—
391C24—54no—
392C24—54no—
393C24—54no—
394C24—54no—
395C24—54no—
396C24—52no—
397C24—52no—
398C24—51no—
399C24—51no—
400C24C22×AGL(1,𝔽5)11yescharacteristic
401C22×C4—22no—
402C22×C4—24no—
403C22×C4—22no—
404C22×C4—24no—
405C22×C4—22no—
406C22×C4—58no—
407C22×C4—58no—
408C22×C4—532no—
409C22×C4—58no—
410C22×C4—54no—
411C22×C4—54no—
412C22×C4—52no—
413C22×C4—52no—
414C22×C4—58no—
415C22×C4—58no—
416C22×C4—54no—
417C22×C4—54no—
418C22×C4—58no—
419C22×C4—58no—
420C22×C4—52no—
421C22×C4—104no—
422C22×C4—108no—
423C22×C4—102no—
424C22×C4—102no—
425C22×C4—104no—
426C22×C4—104no—
427C22×C4—104no—
428C22×C4—104no—
429C22×C4—108no—
430C22×C4—1016no—
431C22×C4—1016no—
432C22×C4—1016no—
433C22×C4—108no—
434C22×C4—104no—
435C22×C4—102no—
436C22×C4—102no—
437C22×C4—104no—
438C22×C4—104no—
439C22×C4—108no—
440C22×C4—104no—
441C22×C4—104no—
442C22×C4—1016no—
443C22×C4—1016no—
444C22×C4—1016no—
445C22×C4—1016no—
446C22×C4—104no—
447C22×C4—104no—
448C22×C4—1016no—
449C22×C4—1016no—
450C22×C4—102no—
451C22×C4—104no—
452C22×C4—102no—
453C22×C4—104no—
454C22×C4—104no—
455C22×C4—1016no—
456C22×C4—1016no—
457C22×C4—104no—
458C22×C4—104no—
459C22×C4—104no—
460C22×C4—104no—
461C22×C4—1016no—
462C22×C4—104no—
463C22×C4—102no—
464C22×C4—204no—
465C22×C4—208no—
466C22×C4—204no—
467C22×C4—208no—
468C22×C4—208no—
469C22×C4—208no—
470C22×C4—208no—
471C22×C4C4×AGL(1,𝔽5)14yescomplemented
472C22×C4C22⋊AGL(1,𝔽5)14yes—
473C22×C4C22×AGL(1,𝔽5)12yes—
474C22×C4C22×AGL(1,𝔽5)12yes—
475C22×C4C22×AGL(1,𝔽5)12yes—
476C4⋊C4—28no—
477C4⋊C4—108no—
478C4⋊C4—108no—
479C4⋊C4—108no—
480C42—1032no—
481C2×C5#143618yescomplemented
482C2×C5C2×C4×C22⋊C411yescharacteristic
483C2×C5C2×C4×C4⋊C412yes—
484C2×C5C2×#38611yescharacteristic
485C2×C5C2×#38712yes—
486C2×C5C2×#39111yescharacteristic
487D5#143618yescomplemented
488D5C2×#38512yes—
489D5C2×#38712yes—
490D5C2×#38812yes—
491D5C2×#38912yes—
492C23—58no—
493C23—58no—
494C23—58no—
495C23—58no—
496C23—58no—
497C23—58no—
498C23—58no—
499C23—58no—
500C23—52no—
501C23—52no—
502C23—52no—
503C23—52no—
504C23—52no—
505C23—52no—
506C23—54no—
507C23—52no—
508C23—52no—
509C23—54no—
510C23—51no—
511C23—51no—
512C23—52no—
513C23—58no—
514C23—58no—
515C23—54no—
516C23—58no—
517C23—54no—
518C23—58no—
519C23—54no—
520C23—54no—
521C23C2×C4×AGL(1,𝔽5)12yes—
522C23#413012yes—
523C23D4×AGL(1,𝔽5)14yes—
524C23Q8×AGL(1,𝔽5)14yes—
525C23C2×C22⋊AGL(1,𝔽5)12yes—
526C23C23×AGL(1,𝔽5)11yescharacteristic
527C2×C4—22no—
528C2×C4—24no—
529C2×C4—22no—
530C2×C4—28no—
531C2×C4—28no—
532C2×C4—24no—
533C2×C4—22no—
534C2×C4—44no—
535C2×C4—516no—
536C2×C4—54no—
537C2×C4—54no—
538C2×C4—104no—
539C2×C4—108no—
540C2×C4—108no—
541C2×C4—1016no—
542C2×C4—108no—
543C2×C4—104no—
544C2×C4—1016no—
545C2×C4—108no—
546C2×C4—108no—
547C2×C4—108no—
548C2×C4—108no—
549C2×C4—1064no—
550C2×C4—108no—
551C2×C4—108no—
552C2×C4—102no—
553C2×C4—104no—
554C2×C4—102no—
555C2×C4—108no—
556C2×C4—108no—
557C2×C4—108no—
558C2×C4—108no—
559C2×C4—108no—
560C2×C4—104no—
561C2×C4—102no—
562C2×C4—202no—
563C2×C4—204no—
564C2×C4—202no—
565C2×C4—208no—
566C2×C4—204no—
567C2×C4—204no—
568C2×C4—2032no—
569C2×C4—204no—
570C2×C4—204no—
571C2×C4—204no—
572C2×C4C2×C4×AGL(1,𝔽5)14yescomplemented
573C2×C4C2×C22⋊AGL(1,𝔽5)14yes—
574C5C2×#143611yescharacteristic, complemented, Sylow
575C22—52no—
576C22—52no—
577C22—52no—
578C22—52no—
579C22—58no—
580C22—52no—
581C22—52no—
582C22—52no—
583C22—52no—
584C22—58no—
585C22—516no—
586C22—516no—
587C22—516no—
588C22—516no—
589C22—52no—
590C22—52no—
591C22—54no—
592C22—51no—
593C22—52no—
594C22—51no—
595C22—54no—
596C22—52no—
597C22—51no—
598C22—51no—
599C22—54no—
600C22C4⋊C4×AGL(1,𝔽5)18yes—
601C22#6571118yes—
602C22C4×C22⋊AGL(1,𝔽5)14yes—
603C22#6577914yes—
604C22(C2×AGL(1,𝔽5))⋊Q814yes—
605C22C22×C4×AGL(1,𝔽5)11yescharacteristic
606C22C2×#413011yescharacteristic
607C22C2×D4×AGL(1,𝔽5)12yes—
608C22C2×Q8×AGL(1,𝔽5)12yes—
609C22C22×C22⋊AGL(1,𝔽5)11yescharacteristic
610C4—24no—
611C4—24no—
612C4—42no—
613C4—1016no—
614C4—104no—
615C4—104no—
616C4—208no—
617C4—202no—
618C2—52no—
619C2—52no—
620C2—58no—
621C2—52no—
622C2—52no—
623C2#1060434318yesdirect product factor
624C2C2×C4⋊C4×AGL(1,𝔽5)12yes—
625C2C2×#6571112yes—
626C2C2×C4×C22⋊AGL(1,𝔽5)11yescharacteristic
627C2C2×#6577911yescharacteristic
628C2C2×(C2×AGL(1,𝔽5))⋊Q811yescharacteristic
subgroupG/H
centerC24C22×AGL(1,𝔽5)
commutatorC22×C5C22×C42
FrattiniC23C23×AGL(1,𝔽5)
FittingC22×C5×C4⋊C4C4
socleC24×C5C22×C4
prime radicalC24×D5C23
cosocleC23×D5C24
hypercenterC22×C4⋊C4AGL(1,𝔽5)
hypocenterC5C2×#1436
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C24 ◁ C22×C4⋊C4

Complements

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

NH ≅ G/Ntype
6. #10604343C2direct (N × H)
15. C22×C5×C4⋊C4C4semidirect
16. C22×C4⋊Dic5C4semidirect
17. C22×#683C4semidirect
18. C22×#683C4semidirect
21. C2×D5×C4⋊C4C4semidirect
25. C2×(C2×AGL(1,𝔽5))⋊C4C4semidirect
75. C2×C5×C4⋊C4C2×C4semidirect
77. C2×C4⋊Dic5C2×C4semidirect
80. C2×#683C2×C4semidirect
81. C2×#683C2×C4semidirect
87. (C2×AGL(1,𝔽5))⋊C4C2×C4semidirect
128. C22×AGL(1,𝔽5)C4⋊C4semidirect
138. C22×C4×C5C42semidirect
148. C22×Dic5C42semidirect
175. C2×C4×D5C42semidirect
197. C22×C4⋊C4AGL(1,𝔽5)semidirect
257. C2×AGL(1,𝔽5)C2×C4⋊C4semidirect
266. C2×C4×C5C2×C42semidirect
276. C2×Dic5C2×C42semidirect
340. C2×C4⋊C4C2×AGL(1,𝔽5)semidirect
471. C22×C4C4×AGL(1,𝔽5)semidirect
481. C2×C5#1436semidirect
487. D5#1436semidirect
572. C2×C4C2×C4×AGL(1,𝔽5)semidirect
574. C5C2×#1436semidirect
623. C2#10604343direct (N × H)

Maximal subgroups

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

subgroupindex
C23×C4×AGL(1,𝔽5)2
C22×D5×C4⋊C42
C22×(C2×AGL(1,𝔽5))⋊C42
#106043432
C2×#14365