Finite Group Databasebeta

← C2×#10617103 #13043948

Subgroups — C2×#10617103 #13043948

Order 1280.

3526 conjugacy classes of subgroups.

The subgroup lattice has 604 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#4130C212yesmaximal
2C22×D5×C4⋊C4C211yesmaximal, characteristic
3C2×#65764C212yesmaximal
4C2×#65765C211yesmaximal, characteristic
5C2×C4×C22⋊AGL(1,𝔽5)C211yesmaximal, characteristic
6#10617103C2116yesmaximal, direct product factor
7C2×#65712C212yesmaximal, complemented
8C2×#65711C214yesmaximal, complemented
9C2×C4⋊C4×AGL(1,𝔽5)C212yesmaximal, complemented
10C23×C4×D5C2212yes—
11C23×C4×D5C2211yescharacteristic
12C22×C22⋊AGL(1,𝔽5)C2212yes—
13C22×C22⋊AGL(1,𝔽5)C2211yescharacteristic
14C22×C22⋊AGL(1,𝔽5)C2211yescharacteristic
15C2×#4130—216no—
16C2×#4130C22116yes—
17C22×C4⋊AGL(1,𝔽5)C2214yes—
18C22×C4⋊AGL(1,𝔽5)C2212yes—
19C22×C4×AGL(1,𝔽5)C2214yes—
20C22×C4×AGL(1,𝔽5)C2212yes—
21C22×C5×C4⋊C4C411yescharacteristic, complemented
22C22×C4⋊Dic5C411yescharacteristic, complemented
23C22×#683C412yescomplemented
24C2×D5×C4⋊C4C412yescomplemented
25C2×D5×C4⋊C4C411yescharacteristic, complemented
26C2×D5×C4⋊C4C411yescharacteristic, complemented
27C2×D5×C4⋊C4C418yescomplemented
28C2×D5×C4⋊C4C2211yescharacteristic
29C2×D5×C4⋊C4C2212yes—
30C2×D5×C4⋊C4C2211yescharacteristic
31C2×D5×C4⋊C4C2218yes—
32#65765C2218yes—
33#65764C22116yes—
34C4×C22⋊AGL(1,𝔽5)C2218yes—
35C2×(C2×AGL(1,𝔽5))⋊C4C2214yes—
36C2×(C2×AGL(1,𝔽5))⋊C4C2212yes—
37C2×(C2×AGL(1,𝔽5))⋊C4C2212yes—
38C2×(C2×AGL(1,𝔽5))⋊C4C2214yes—
39#65712C22116yescomplemented
40#65711C22132yescomplemented
41C4⋊C4×AGL(1,𝔽5)C22116yescomplemented
42C2×#2344—51nomaximal, Sylow
43C24×D5C2311yescharacteristic
44C23×AGL(1,𝔽5)C2314yes—
45C23×AGL(1,𝔽5)C2312yes—
46C23×AGL(1,𝔽5)C2312yes—
47C23×C4×C5C2×C412yes—
48C23×C4×C5C2×C411yescharacteristic
49C23×Dic5C2×C411yescharacteristic
50C23×Dic5C2×C412yes—
51C22×C4×D5—28no—
52C22×C4×D5—28no—
53C22×C4×D5—28no—
54C22×C4×D5C2×C418yes—
55C22×C4×D5C2×C412yes—
56C22×C4×D5C2×C412yes—
57C22×C4×D5C2×C411yescharacteristic
58C22×C4×D5C2×C411yescharacteristic
59C22×C4×D5C2×C414yes—
60C22×C4×D5C2312yes—
61C22×C4×D5C2312yes—
62C22×C4×D5C2318yes—
63C22×C4×D5C2311yescharacteristic
64C22×C4×D5C2314yes—
65C22×C4×D5C2311yescharacteristic
66C2×C22⋊AGL(1,𝔽5)—28no—
67C2×C22⋊AGL(1,𝔽5)—24no—
68C2×C22⋊AGL(1,𝔽5)D418yes—
69C2×C22⋊AGL(1,𝔽5)C2318yes—
70C2×C22⋊AGL(1,𝔽5)C2314yes—
71C2×C22⋊AGL(1,𝔽5)C2314yes—
72#4130—264no—
73C2×C4⋊AGL(1,𝔽5)—216no—
74C2×C4⋊AGL(1,𝔽5)—28no—
75C2×C4⋊AGL(1,𝔽5)C2318yes—
76C2×C4⋊AGL(1,𝔽5)C23116yes—
77C2×C4×AGL(1,𝔽5)—216no—
78C2×C4×AGL(1,𝔽5)—28no—
79C2×C4×AGL(1,𝔽5)C23116yes—
80C2×C4×AGL(1,𝔽5)C2318yes—
81C2×C5×C4⋊C4C2×C412yes—
82C2×C5×C4⋊C4C2×C411yescharacteristic
83C2×C5×C4⋊C4C2×C411yescharacteristic
84C2×C5×C4⋊C4C2×C418yescomplemented
85C2×C4⋊Dic5C2×C412yes—
86C2×C4⋊Dic5C2×C411yescharacteristic
87C2×C4⋊Dic5C2×C411yescharacteristic
88C2×C4⋊Dic5C2×C418yescomplemented
89C2×#683C2×C412yes—
90C2×#683C2×C412yes—
91C2×#683C2×C412yes—
92C2×#683C2×C412yes—
93C2×#683C2×C4116yescomplemented
94D5×C4⋊C4C2×C418yes—
95D5×C4⋊C4C2×C414yes—
96D5×C4⋊C4C2×C414yes—
97D5×C4⋊C4C2×C418yescomplemented
98D5×C4⋊C4C2×C418yescomplemented
99D5×C4⋊C4C2×C4116yescomplemented
100D5×C4⋊C4C2314yes—
101D5×C4⋊C4C2318yes—
102D5×C4⋊C4C2314yes—
103(C2×AGL(1,𝔽5))⋊C4C23116yes—
104(C2×AGL(1,𝔽5))⋊C4C2318yes—
105(C2×AGL(1,𝔽5))⋊C4C2318yes—
106(C2×AGL(1,𝔽5))⋊C4C23116yes—
107C22×#117—52no—
108C23×C4⋊C4—51no—
109#2344—516no—
110C2×#389—52no—
111C2×#387—54no—
112C2×#381—52no—
113C2×#380—51no—
114C2×C4×C4⋊C4—52no—
115C2×C4×C22⋊C4—51no—
116C24×C5C22×C411yescharacteristic
117C23×D5—24no—
118C23×D5—24no—
119C23×D5C22×C412yes—
120C23×D5C22×C411yescharacteristic
121C23×D5C2×D414yes—
122C23×D5#4114yes—
123C23×D5C2412yes—
124C23×D5C2411yescharacteristic
125C22×AGL(1,𝔽5)—24no—
126C22×AGL(1,𝔽5)—24no—
127C22×AGL(1,𝔽5)—28no—
128C22×AGL(1,𝔽5)—24no—
129C22×AGL(1,𝔽5)—28no—
130C22×AGL(1,𝔽5)—24no—
131C22×AGL(1,𝔽5)—28no—
132C22×AGL(1,𝔽5)—24no—
133C22×AGL(1,𝔽5)C2×D418yes—
134C22×AGL(1,𝔽5)C2418yes—
135C22×AGL(1,𝔽5)C2414yes—
136C22×AGL(1,𝔽5)C2414yes—
137C22×C4×C5—28no—
138C22×C4×C5—24no—
139C22×C4×C5C22×C412yes—
140C22×C4×C5C22×C412yes—
141C22×C4×C5C22×C411yescharacteristic
142C22×C4×C5C22×C418yes—
143C22×C4×C5C22×C414yes—
144C22×C4×C5C22×C411yescharacteristic
145C22×Dic5—28no—
146C22×Dic5—24no—
147C22×Dic5C22×C411yescharacteristic
148C22×Dic5C22×C412yes—
149C22×Dic5C22×C412yes—
150C22×Dic5C22×C414yes—
151C22×Dic5C22×C418yes—
152C22×Dic5C22×C411yescharacteristic
153C2×C4×D5—28no—
154C2×C4×D5—28no—
155C2×C4×D5—232no—
156C2×C4×D5—24no—
157C2×C4×D5—24no—
158C2×C4×D5—216no—
159C2×C4×D5—24no—
160C2×C4×D5—216no—
161C2×C4×D5—24no—
162C2×C4×D5—24no—
163C2×C4×D5—24no—
164C2×C4×D5—24no—
165C2×C4×D5—216no—
166C2×C4×D5—216no—
167C2×C4×D5C22×C412yes—
168C2×C4×D5C22×C414yes—
169C2×C4×D5C22×C414yes—
170C2×C4×D5C22×C418yes—
171C2×C4×D5C22×C418yes—
172C2×C4×D5C22×C414yes—
173C2×C4×D5C22×C414yes—
174C2×C4×D5C22×C412yes—
175C2×C4×D5#4118yes—
176C2×C4×D5C2414yes—
177C2×C4×D5C2414yes—
178C2×C4×D5C2412yes—
179C2×C4×D5C2412yes—
180C22⋊AGL(1,𝔽5)—216no—
181C22⋊AGL(1,𝔽5)—28no—
182C22⋊AGL(1,𝔽5)C2×D4116yes—
183C4⋊AGL(1,𝔽5)—232no—
184C4⋊AGL(1,𝔽5)—216no—
185C4×AGL(1,𝔽5)—232no—
186C4×AGL(1,𝔽5)—216no—
187C5×C4⋊C4C22×C418yes—
188C5×C4⋊C4C22×C414yes—
189C5×C4⋊C4C22×C414yes—
190C4⋊Dic5C22×C418yes—
191C4⋊Dic5C22×C414yes—
192C4⋊Dic5C22×C414yes—
193#683C22×C418yes—
194#683C22×C418yes—
195#683C22×C418yes—
196#683C22×C418yes—
197C24×C4—52no—
198C24×C4—51no—
199C2×#117—516no—
200C2×#117—1016no—
201C22×C4⋊C4—52no—
202C22×C4⋊C4—51no—
203C22×C4⋊C4—52no—
204C22×C4⋊C4—51no—
205C22×C4⋊C4—51no—
206C22×C4⋊C4—51no—
207C22×C4⋊C4—52no—
208C22×C4⋊C4—51no—
209C22×C4⋊C4—58no—
210C22×C4⋊C4—58no—
211C22×C4⋊C4—54no—
212C22×C4⋊C4—52no—
213C22×C4⋊C4AGL(1,𝔽5)11yescharacteristic, complemented
214C22×C22⋊C4—51no—
215C22×C22⋊C4—52no—
216C22×C22⋊C4—51no—
217C22×C42—54no—
218C22×C42—52no—
219#389—516no—
220#387—532no—
221#381—516no—
222#380—58no—
223C4×C4⋊C4—516no—
224C4×C22⋊C4—58no—
225C2×#95—52no—
226C2×#95—54no—
227C2×#95—52no—
228C2×#95—54no—
229C23×C5—22no—
230C23×C5—22no—
231C23×C5C4×D414yes—
232C23×C5C23×C412yes—
233C23×C5C23×C411yescharacteristic
234C22×D5—22no—
235C22×D5—22no—
236C22×D5—24no—
237C22×D5—24no—
238C22×D5—216no—
239C22×D5—216no—
240C22×D5—24no—
241C22×D5—24no—
242C22×D5C4×D414yes—
243C22×D5C4×D418yes—
244C22×D5C23×C412yes—
245C22×D5C23×C411yescharacteristic
246C22×D5C22×D414yes—
247C22×D5C22×D412yes—
248C22×D5C2×#4114yes—
249C22×D5C2×#4114yes—
250C22×D5C2×#4112yes—
251C22×D52−1+414yes—
252C22×D5C2511yescharacteristic
253C2×AGL(1,𝔽5)—216no—
254C2×AGL(1,𝔽5)—24no—
255C2×AGL(1,𝔽5)—24no—
256C2×AGL(1,𝔽5)—28no—
257C2×AGL(1,𝔽5)—24no—
258C2×AGL(1,𝔽5)—28no—
259C2×AGL(1,𝔽5)—24no—
260C2×AGL(1,𝔽5)—28no—
261C2×AGL(1,𝔽5)—24no—
262C2×AGL(1,𝔽5)—416no—
263C2×AGL(1,𝔽5)—48no—
264C2×AGL(1,𝔽5)C22×D418yes—
265C2×C4×C5—22no—
266C2×C4×C5—216no—
267C2×C4×C5—24no—
268C2×C4×C5—24no—
269C2×C4×C5—28no—
270C2×C4×C5#11714yescomplemented
271C2×C4×C5C23×C414yes—
272C2×C4×C5C23×C414yes—
273C2×C4×C5C23×C412yes—
274C2×C4×C5C23×C412yes—
275C2×Dic5—22no—
276C2×Dic5—216no—
277C2×Dic5—24no—
278C2×Dic5—24no—
279C2×Dic5—28no—
280C2×Dic5#11714yescomplemented
281C2×Dic5C23×C412yes—
282C2×Dic5C23×C414yes—
283C2×Dic5C23×C414yes—
284C2×Dic5C23×C412yes—
285C4×D5—24no—
286C4×D5—216no—
287C4×D5—216no—
288C4×D5—28no—
289C4×D5—28no—
290C4×D5—24no—
291C4×D5—24no—
292C4×D5—24no—
293C4×D5—24no—
294C4×D5—24no—
295C4×D5—28no—
296C4×D5—28no—
297C4×D5#11718yescomplemented
298C4×D5C2×#4118yes—
299C25—51no—
300C23×C4—51no—
301C23×C4—52no—
302C23×C4—51no—
303C23×C4—52no—
304C23×C4—52no—
305C23×C4—58no—
306C23×C4—51no—
307C23×C4—54no—
308C23×C4—58no—
309C23×C4—52no—
310C23×C4—52no—
311C23×C4—51no—
312C23×C4—51no—
313C23×C4—52no—
314C23×C4—54no—
315C23×C4—54no—
316C23×C4—52no—
317C23×C4—108no—
318C23×C4—108no—
319C23×C4—108no—
320C23×C4C2×AGL(1,𝔽5)12yes—
321C23×C4C2×AGL(1,𝔽5)11yescharacteristic
322#117—1064no—
323C2×C4⋊C4—52no—
324C2×C4⋊C4—52no—
325C2×C4⋊C4—52no—
326C2×C4⋊C4—52no—
327C2×C4⋊C4—516no—
328C2×C4⋊C4—52no—
329C2×C4⋊C4—51no—
330C2×C4⋊C4—51no—
331C2×C4⋊C4—58no—
332C2×C4⋊C4—54no—
333C2×C4⋊C4—58no—
334C2×C4⋊C4—54no—
335C2×C4⋊C4—54no—
336C2×C4⋊C4—54no—
337C2×C4⋊C4—58no—
338C2×C4⋊C4—516no—
339C2×C4⋊C4—58no—
340C2×C4⋊C4—58no—
341C2×C4⋊C4—516no—
342C2×C4⋊C4—58no—
343C2×C4⋊C4—1016no—
344C2×C4⋊C4—108no—
345C2×C4⋊C4C2×AGL(1,𝔽5)12yes—
346C2×C4⋊C4C2×AGL(1,𝔽5)11yescharacteristic
347C2×C4⋊C4C2×AGL(1,𝔽5)11yescharacteristic
348C2×C4⋊C4C2×AGL(1,𝔽5)18yescomplemented
349C2×C22⋊C4—54no—
350C2×C22⋊C4—58no—
351C2×C22⋊C4—58no—
352C2×C22⋊C4—54no—
353C2×C22⋊C4—108no—
354C2×C22⋊C4—104no—
355C2×C42—516no—
356C2×C42—58no—
357C2×C42—1016no—
358C2×C42—108no—
359#95—58no—
360#95—516no—
361#95—58no—
362#95—516no—
363C22×C5—28no—
364C22×C5—22no—
365C22×C5—22no—
366C22×C5C2×#11712yes—
367C22×C5C2×C4×D414yes—
368C22×C5C2×C4×D412yes—
369C22×C5#51912yes—
370C22×C5C24×C411yescharacteristic
371C2×D5—28no—
372C2×D5—22no—
373C2×D5—22no—
374C2×D5—216no—
375C2×D5—28no—
376C2×D5—28no—
377C2×D5C2×#11712yes—
378C2×D5C2×C4×D414yes—
379C2×D5C2×C4×D412yes—
380C2×D5#51912yes—
381C2×D5#54718yes—
382C2×D5#55218yes—
383C2×D5C23×D411yescharacteristic
384C2×D5C22×#4112yes—
385C2×D5C22×#4111yescharacteristic
386C2×D5C2×2−1+412yes—
387AGL(1,𝔽5)—28no—
388AGL(1,𝔽5)—48no—
389AGL(1,𝔽5)—44no—
390C4×C5—22no—
391C4×C5—24no—
392C4×C5—24no—
393C4×C5C2×#11714yescomplemented
394Dic5—22no—
395Dic5—24no—
396Dic5—24no—
397Dic5C2×#11714yescomplemented
398C24—51no—
399C24—54no—
400C24—54no—
401C24—52no—
402C24—52no—
403C24—51no—
404C24—104no—
405C24—104no—
406C24C22×AGL(1,𝔽5)11yescharacteristic
407C22×C4—28no—
408C22×C4—24no—
409C22×C4—51no—
410C22×C4—58no—
411C22×C4—52no—
412C22×C4—52no—
413C22×C4—54no—
414C22×C4—58no—
415C22×C4—54no—
416C22×C4—58no—
417C22×C4—51no—
418C22×C4—52no—
419C22×C4—52no—
420C22×C4—52no—
421C22×C4—54no—
422C22×C4—54no—
423C22×C4—54no—
424C22×C4—54no—
425C22×C4—52no—
426C22×C4—54no—
427C22×C4—58no—
428C22×C4—58no—
429C22×C4—54no—
430C22×C4—54no—
431C22×C4—58no—
432C22×C4—104no—
433C22×C4—1016no—
434C22×C4—1016no—
435C22×C4—104no—
436C22×C4—104no—
437C22×C4—1016no—
438C22×C4—104no—
439C22×C4—104no—
440C22×C4—104no—
441C22×C4—1016no—
442C22×C4—1032no—
443C22×C4—108no—
444C22×C4—108no—
445C22×C4—104no—
446C22×C4—104no—
447C22×C4—104no—
448C22×C4—108no—
449C22×C4—104no—
450C22×C4—108no—
451C22×C4—104no—
452C22×C4—104no—
453C22×C4—108no—
454C22×C4—108no—
455C22×C4—104no—
456C22×C4C22×AGL(1,𝔽5)18yes—
457C22×C4C22×AGL(1,𝔽5)14yes—
458C22×C4C22×AGL(1,𝔽5)11yescharacteristic
459C22×C4C22×AGL(1,𝔽5)12yes—
460C22×C4C22×AGL(1,𝔽5)12yes—
461C22×C4C22×AGL(1,𝔽5)11yescharacteristic
462C4⋊C4—58no—
463C4⋊C4—58no—
464C4⋊C4—58no—
465C4⋊C4—58no—
466C4⋊C4—58no—
467C4⋊C4—54no—
468C4⋊C4—54no—
469C4⋊C4—1032no—
470C4⋊C4—1016no—
471C4⋊C4C22×AGL(1,𝔽5)18yes—
472C4⋊C4C22×AGL(1,𝔽5)14yes—
473C4⋊C4C22×AGL(1,𝔽5)14yes—
474C22⋊C4—516no—
475C22⋊C4—1016no—
476C22⋊C4—108no—
477C42—1032no—
478C42—1016no—
479C2×C5—24no—
480C2×C5#234414yescomplemented
481C2×C5C22×#11711yescharacteristic
482C2×C5C22×C4×D411yescharacteristic
483C2×C5C2×#51911yescharacteristic
484D5—24no—
485D5#234414yescomplemented
486D5C2×#54712yes—
487D5C2×#55212yes—
488C23—22no—
489C23—22no—
490C23—54no—
491C23—52no—
492C23—52no—
493C23—54no—
494C23—51no—
495C23—51no—
496C23—54no—
497C23—54no—
498C23—58no—
499C23—54no—
500C23—52no—
501C23—104no—
502C23—104no—
503C23—104no—
504C23—104no—
505C23—1016no—
506C23—1016no—
507C23—102no—
508C23—102no—
509C23D4×AGL(1,𝔽5)14yes—
510C23C23×AGL(1,𝔽5)12yes—
511C23C23×AGL(1,𝔽5)11yescharacteristic
512C2×C4—22no—
513C2×C4—216no—
514C2×C4—24no—
515C2×C4—24no—
516C2×C4—28no—
517C2×C4—54no—
518C2×C4—52no—
519C2×C4—58no—
520C2×C4—58no—
521C2×C4—58no—
522C2×C4—52no—
523C2×C4—54no—
524C2×C4—54no—
525C2×C4—108no—
526C2×C4—104no—
527C2×C4—104no—
528C2×C4—104no—
529C2×C4—104no—
530C2×C4—104no—
531C2×C4—104no—
532C2×C4—108no—
533C2×C4—108no—
534C2×C4—1016no—
535C2×C4—1016no—
536C2×C4—108no—
537C2×C4—104no—
538C2×C4—104no—
539C2×C4—1016no—
540C2×C4—102no—
541C2×C4—1016no—
542C2×C4—104no—
543C2×C4—104no—
544C2×C4—108no—
545C2×C4—108no—
546C2×C4—104no—
547C2×C4—104no—
548C2×C4—108no—
549C2×C4—104no—
550C2×C4—108no—
551C2×C4—2016no—
552C2×C4—208no—
553C2×C4#413014yescomplemented
554C2×C4C23×AGL(1,𝔽5)12yes—
555C2×C4C23×AGL(1,𝔽5)14yes—
556C2×C4C23×AGL(1,𝔽5)14yes—
557C2×C4C23×AGL(1,𝔽5)12yes—
558C5C2×#234411yescharacteristic, complemented, Sylow
559C22—22no—
560C22—22no—
561C22—28no—
562C22—52no—
563C22—52no—
564C22—51no—
565C22—51no—
566C22—52no—
567C22—52no—
568C22—52no—
569C22—58no—
570C22—58no—
571C22—54no—
572C22—108no—
573C22—108no—
574C22—1016no—
575C22—102no—
576C22—102no—
577C22—108no—
578C22C2×#413012yes—
579C22C2×D4×AGL(1,𝔽5)14yes—
580C22C2×D4×AGL(1,𝔽5)12yes—
581C22#6626212yes—
582C22C24×AGL(1,𝔽5)11yescharacteristic
583C4—22no—
584C4—24no—
585C4—24no—
586C4—54no—
587C4—108no—
588C4—102no—
589C4—104no—
590C4—104no—
591C4—208no—
592C4—204no—
593C4C2×#413014yescomplemented
594C2—24no—
595C2—52no—
596C2—52no—
597C2—54no—
598C2—104no—
599C2#1061710314yesdirect product factor
600C2C22×#413011yescharacteristic
601C2C22×D4×AGL(1,𝔽5)11yescharacteristic
602C2C2×#6626211yescharacteristic
subgroupG/H
centerC23C23×AGL(1,𝔽5)
commutatorC22×C5C24×C4
FrattiniC22C24×AGL(1,𝔽5)
FittingC22×C5×C4⋊C4C4
socleC23×C5C23×C4
prime radicalC24×D5C23
cosocleC22×D5C25
hypercenterC22×C4⋊C4AGL(1,𝔽5)
hypocenterC5C2×#2344
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23 ◁ C22×C4⋊C4

Complements

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

NH ≅ G/Ntype
6. #10617103C2direct (N × H)
7. C2×#65712C2semidirect
8. C2×#65711C2semidirect
9. C2×C4⋊C4×AGL(1,𝔽5)C2semidirect
21. C22×C5×C4⋊C4C4semidirect
22. C22×C4⋊Dic5C4semidirect
23. C22×#683C4semidirect
24. C2×D5×C4⋊C4C4semidirect
25. C2×D5×C4⋊C4C4semidirect
26. C2×D5×C4⋊C4C4semidirect
27. C2×D5×C4⋊C4C4semidirect
39. #65712C22semidirect
40. #65711C22semidirect
41. C4⋊C4×AGL(1,𝔽5)C22semidirect
84. C2×C5×C4⋊C4C2×C4semidirect
88. C2×C4⋊Dic5C2×C4semidirect
93. C2×#683C2×C4semidirect
97. D5×C4⋊C4C2×C4semidirect
98. D5×C4⋊C4C2×C4semidirect
99. D5×C4⋊C4C2×C4semidirect
213. C22×C4⋊C4AGL(1,𝔽5)semidirect
270. C2×C4×C5#117semidirect
280. C2×Dic5#117semidirect
297. C4×D5#117semidirect
348. C2×C4⋊C4C2×AGL(1,𝔽5)semidirect
393. C4×C5C2×#117semidirect
397. Dic5C2×#117semidirect
480. C2×C5#2344semidirect
485. D5#2344semidirect
553. C2×C4#4130semidirect
558. C5C2×#2344semidirect
593. C4C2×#4130semidirect
599. C2#10617103direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#41302
C22×D5×C4⋊C42
C2×#657642
C2×#657652
C2×C4×C22⋊AGL(1,𝔽5)2
#106171032
C2×#657122
C2×#657112
C2×C4⋊C4×AGL(1,𝔽5)2
C2×#23445