Finite Group Databasebeta

← C5×#14006 #11936726

Subgroups — C5×#14006 #11936726

Order 1280.

1470 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#389C211yesmaximal, characteristic
2C2×C5×#389C211yesmaximal, characteristic
3C2×C5×#389C211yesmaximal, characteristic
4C2×C5×#382C211yesmaximal, characteristic
5C2×C4×C5×C4⋊C4C211yesmaximal, characteristic
6C5×#1442C212yesmaximal
7C5×#1441C212yesmaximal
8C5×#1436C212yesmaximal
9C5×C4⋊#95C212yesmaximal
10C5×C4⋊#95C211yesmaximal, characteristic
11C4×C5×#95C211yesmaximal, characteristic
12C22×C5×C4⋊C4C2211yescharacteristic
13C22×C5×C4⋊C4C2212yes—
14C22×C5×C4⋊C4C2212yes—
15C22×C5×C4⋊C4C2211yescharacteristic
16C22×C5×C4⋊C4C2211yescharacteristic
17C22×C5×C4⋊C4C2212yes—
18C22×C5×C4⋊C4C2211yescharacteristic
19C22×C42×C5C2211yescharacteristic
20C22×C42×C5C2212yes—
21C22×C42×C5C2211yescharacteristic
22C22×C42×C5C2211yescharacteristic
23C5×#389—24no—
24C5×#389—24no—
25C5×#389C418yescomplemented
26C5×#382—24no—
27C4×C5×C4⋊C4—24no—
28C2×C5×#95C2212yes—
29C2×C5×#95C2212yes—
30C2×C5×#95C2212yes—
31C2×C5×#95C2212yes—
32C2×C5×#95C2212yes—
33C2×C5×#95C2211yescharacteristic
34C2×C5×#95C2211yescharacteristic
35C2×C5×#95C2211yescharacteristic
36C2×C5×#95C2211yescharacteristic
37C2×C5×#95C2212yes—
38C2×C5×#95C2212yes—
39C2×C5×#95C2212yes—
40#14006C511yesmaximal, characteristic, direct product factor, Sylow
41C23×C4×C5C2312yes—
42C23×C4×C5C2311yescharacteristic
43C23×C4×C5C2311yescharacteristic
44C23×C4×C5C2312yes—
45C23×C4×C5C2312yes—
46C23×C4×C5C2311yescharacteristic
47C23×C4×C5C2311yescharacteristic
48C23×C4×C5C2311yescharacteristic
49C23×C4×C5C2312yes—
50C23×C4×C5C2311yescharacteristic
51C23×C4×C5C2311yescharacteristic
52C2×C5×C4⋊C4—22no—
53C2×C5×C4⋊C4—22no—
54C2×C5×C4⋊C4—22no—
55C2×C5×C4⋊C4—22no—
56C2×C5×C4⋊C4—22no—
57C2×C5×C4⋊C4—24no—
58C2×C5×C4⋊C4—24no—
59C2×C5×C4⋊C4—22no—
60C2×C5×C4⋊C4—24no—
61C2×C5×C4⋊C4—24no—
62C2×C5×C4⋊C4—22no—
63C2×C5×C4⋊C4—42no—
64C2×C5×C4⋊C4—42no—
65C2×C5×C4⋊C4—42no—
66C2×C5×C4⋊C4—42no—
67C2×C5×C4⋊C4C2×C414yes—
68C2×C5×C4⋊C4C2×C418yes—
69C2×C5×C4⋊C4C2×C414yes—
70C2×C5×C4⋊C4D414yes—
71C2×C5×C4⋊C4D414yes—
72C2×C5×C4⋊C4Q814yes—
73C2×C42×C5—22no—
74C2×C42×C5—22no—
75C2×C42×C5—22no—
76C2×C42×C5—22no—
77C2×C42×C5—24no—
78C2×C42×C5—22no—
79C2×C42×C5—22no—
80C2×C42×C5—24no—
81C2×C42×C5—22no—
82C2×C42×C5—42no—
83C2×C42×C5C2×C414yes—
84C2×C42×C5Q814yes—
85C5×#95—24no—
86C5×#95—24no—
87C5×#95—24no—
88C5×#95—24no—
89C5×#95—24no—
90C5×#95—22no—
91C5×#95—22no—
92C5×#95—22no—
93C5×#95—22no—
94C5×#95—24no—
95C5×#95—42no—
96C5×#95C2×C418yes—
97C2×#389C2×C511yescharacteristic
98C2×#389C2×C511yescharacteristic
99C2×#389C2×C511yescharacteristic
100C2×#382C2×C511yescharacteristic
101C2×C4×C4⋊C4C2×C511yescharacteristic
102#1442C2×C512yes—
103#1441C2×C512yes—
104#1436C2×C512yes—
105C4⋊#95C2×C511yescharacteristic
106C4⋊#95C2×C512yes—
107C4×#95C2×C511yescharacteristic
108C24×C5C2411yescharacteristic
109C22×C4×C5—21no—
110C22×C4×C5—22no—
111C22×C4×C5—21no—
112C22×C4×C5—22no—
113C22×C4×C5—21no—
114C22×C4×C5—22no—
115C22×C4×C5—22no—
116C22×C4×C5—21no—
117C22×C4×C5—21no—
118C22×C4×C5—21no—
119C22×C4×C5—22no—
120C22×C4×C5—21no—
121C22×C4×C5—21no—
122C22×C4×C5—21no—
123C22×C4×C5—21no—
124C22×C4×C5—21no—
125C22×C4×C5—22no—
126C22×C4×C5—21no—
127C22×C4×C5—21no—
128C22×C4×C5—21no—
129C22×C4×C5—21no—
130C22×C4×C5—21no—
131C22×C4×C5—22no—
132C22×C4×C5—22no—
133C22×C4×C5—22no—
134C22×C4×C5—22no—
135C22×C4×C5—22no—
136C22×C4×C5—21no—
137C22×C4×C5—21no—
138C22×C4×C5—21no—
139C22×C4×C5—21no—
140C22×C4×C5—22no—
141C22×C4×C5—21no—
142C22×C4×C5—21no—
143C22×C4×C5—21no—
144C22×C4×C5—21no—
145C22×C4×C5—22no—
146C22×C4×C5—21no—
147C22×C4×C5—21no—
148C22×C4×C5—22no—
149C22×C4×C5—21no—
150C22×C4×C5—21no—
151C22×C4×C5—22no—
152C22×C4×C5—21no—
153C22×C4×C5—21no—
154C22×C4×C5—21no—
155C22×C4×C5—21no—
156C22×C4×C5—22no—
157C22×C4×C5—21no—
158C22×C4×C5—21no—
159C22×C4×C5—22no—
160C22×C4×C5—22no—
161C22×C4×C5—22no—
162C22×C4×C5—22no—
163C22×C4×C5—22no—
164C22×C4×C5—22no—
165C22×C4×C5—22no—
166C22×C4×C5C22×C412yes—
167C22×C4×C5C22×C412yes—
168C22×C4×C5C22×C414yes—
169C22×C4×C5C22×C414yes—
170C22×C4×C5C22×C412yes—
171C22×C4×C5C2×D414yes—
172C22×C4×C5C2×D414yes—
173C22×C4×C5C2×D412yes—
174C22×C4×C5C2×D412yes—
175C22×C4×C5C2×Q812yes—
176C22×C4×C5C2×Q814yes—
177C22×C4×C5C2×Q812yes—
178C22×C4×C5C2×Q812yes—
179C22×C4×C5C2×Q812yes—
180C22×C4×C5#4112yes—
181C22×C4×C5#4112yes—
182C22×C4×C5#4112yes—
183C22×C4×C5#4112yes—
184C22×C4×C5#4112yes—
185C22×C4×C5#4112yes—
186C5×C4⋊C4—28no—
187C5×C4⋊C4—28no—
188C5×C4⋊C4—48no—
189C5×C4⋊C4—48no—
190C5×C4⋊C4—48no—
191C5×C4⋊C4—44no—
192C5×C4⋊C4C4⋊C4116yescomplemented
193C42×C5—28no—
194C42×C5—28no—
195C42×C5—48no—
196C42×C5—44no—
197C22×C4⋊C4C22×C511yescharacteristic
198C22×C4⋊C4C22×C512yes—
199C22×C4⋊C4C22×C512yes—
200C22×C4⋊C4C22×C511yescharacteristic
201C22×C4⋊C4C22×C511yescharacteristic
202C22×C4⋊C4C22×C512yes—
203C22×C4⋊C4C22×C511yescharacteristic
204C22×C42C22×C511yescharacteristic
205C22×C42C22×C512yes—
206C22×C42C22×C511yescharacteristic
207C22×C42C22×C511yescharacteristic
208#389—24no—
209#389—24no—
210#389C4×C518yescomplemented
211#382—24no—
212C4×C4⋊C4—24no—
213C2×#95C22×C511yescharacteristic
214C2×#95C22×C511yescharacteristic
215C2×#95C22×C511yescharacteristic
216C2×#95C22×C511yescharacteristic
217C2×#95C22×C512yes—
218C2×#95C22×C512yes—
219C2×#95C22×C512yes—
220C2×#95C22×C512yes—
221C2×#95C22×C512yes—
222C2×#95C22×C512yes—
223C2×#95C22×C512yes—
224C2×#95C22×C512yes—
225C23×C5C23×C411yescharacteristic
226C23×C5C22×D411yescharacteristic
227C23×C5C22×D411yescharacteristic
228C23×C5C22×Q811yescharacteristic
229C23×C5C22×Q811yescharacteristic
230C23×C5C2×#4111yescharacteristic
231C23×C5C2×#4111yescharacteristic
232C23×C5C2×#4111yescharacteristic
233C23×C5C2×#4111yescharacteristic
234C23×C5C2×#4111yescharacteristic
235C23×C5C2×#4111yescharacteristic
236C23×C5H(5,𝔽2)11yescharacteristic
237C23×C5H(5,𝔽2)11yescharacteristic
238C23×C52−1+411yescharacteristic
239C23×C52−1+411yescharacteristic
240C2×C4×C5—24no—
241C2×C4×C5—24no—
242C2×C4×C5—22no—
243C2×C4×C5—22no—
244C2×C4×C5—22no—
245C2×C4×C5—24no—
246C2×C4×C5—24no—
247C2×C4×C5—22no—
248C2×C4×C5—22no—
249C2×C4×C5—22no—
250C2×C4×C5—24no—
251C2×C4×C5—24no—
252C2×C4×C5—22no—
253C2×C4×C5—22no—
254C2×C4×C5—24no—
255C2×C4×C5—22no—
256C2×C4×C5—24no—
257C2×C4×C5—22no—
258C2×C4×C5—22no—
259C2×C4×C5—24no—
260C2×C4×C5—22no—
261C2×C4×C5—24no—
262C2×C4×C5—22no—
263C2×C4×C5—22no—
264C2×C4×C5—22no—
265C2×C4×C5—22no—
266C2×C4×C5—22no—
267C2×C4×C5—22no—
268C2×C4×C5—22no—
269C2×C4×C5—24no—
270C2×C4×C5—24no—
271C2×C4×C5—22no—
272C2×C4×C5—22no—
273C2×C4×C5—41no—
274C2×C4×C5—41no—
275C2×C4×C5—42no—
276C2×C4×C5—41no—
277C2×C4×C5—41no—
278C2×C4×C5—42no—
279C2×C4×C5—42no—
280C2×C4×C5—42no—
281C2×C4×C5—41no—
282C2×C4×C5—41no—
283C2×C4×C5—41no—
284C2×C4×C5—41no—
285C2×C4×C5—41no—
286C2×C4×C5—41no—
287C2×C4×C5—41no—
288C2×C4×C5—42no—
289C2×C4×C5—41no—
290C2×C4×C5—41no—
291C2×C4×C5—42no—
292C2×C4×C5—41no—
293C2×C4×C5—41no—
294C2×C4×C5—41no—
295C2×C4×C5—42no—
296C2×C4×C5—41no—
297C2×C4×C5—42no—
298C2×C4×C5—41no—
299C2×C4×C5—41no—
300C2×C4×C5—41no—
301C2×C4×C5—42no—
302C2×C4×C5—42no—
303C2×C4×C5—42no—
304C2×C4×C5—42no—
305C2×C4×C5—42no—
306C2×C4×C5—42no—
307C2×C4×C5—42no—
308C2×C4×C5C2×C4⋊C418yes—
309C2×C4×C5C2×C4⋊C414yes—
310C2×C4×C5C4×D414yes—
311C2×C4×C5C4×Q814yes—
312C2×C4×C5#12114yes—
313C2×C4×C5C22⋊Q814yes—
314C2×C4×C5#12514yes—
315C2×C4×C5#12514yes—
316C2×C4×C5C4⋊Q814yes—
317C23×C4C23×C512yes—
318C23×C4C23×C512yes—
319C23×C4C23×C511yescharacteristic
320C23×C4C23×C511yescharacteristic
321C23×C4C23×C512yes—
322C23×C4C23×C511yescharacteristic
323C23×C4C23×C511yescharacteristic
324C23×C4C23×C511yescharacteristic
325C23×C4C23×C512yes—
326C23×C4C23×C511yescharacteristic
327C23×C4C23×C511yescharacteristic
328C2×C4⋊C4—22no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—24no—
334C2×C4⋊C4—24no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—24no—
337C2×C4⋊C4—24no—
338C2×C4⋊C4—22no—
339C2×C4⋊C4—42no—
340C2×C4⋊C4—42no—
341C2×C4⋊C4—42no—
342C2×C4⋊C4—42no—
343C2×C4⋊C4C2×C4×C514yes—
344C2×C4⋊C4C2×C4×C518yes—
345C2×C4⋊C4C2×C4×C514yes—
346C2×C4⋊C4C5×D414yes—
347C2×C4⋊C4C5×D414yes—
348C2×C4⋊C4C5×Q814yes—
349C2×C42—22no—
350C2×C42—22no—
351C2×C42—22no—
352C2×C42—22no—
353C2×C42—24no—
354C2×C42—22no—
355C2×C42—22no—
356C2×C42—24no—
357C2×C42—22no—
358C2×C42—42no—
359C2×C42C2×C4×C514yes—
360C2×C42C5×Q814yes—
361#95—24no—
362#95—24no—
363#95—24no—
364#95—24no—
365#95—24no—
366#95—22no—
367#95—22no—
368#95—22no—
369#95—22no—
370#95—24no—
371#95—42no—
372#95C2×C4×C518yes—
373C22×C5C22×C4⋊C411yescharacteristic
374C22×C5C2×C4×D411yescharacteristic
375C22×C5C2×C4×Q811yescharacteristic
376C22×C5C4×#4111yescharacteristic
377C22×C5C4×#4111yescharacteristic
378C22×C5#51811yescharacteristic
379C22×C5#51911yescharacteristic
380C22×C5C2×#12111yescharacteristic
381C22×C5C2×C22⋊Q811yescharacteristic
382C22×C5C2×#12511yescharacteristic
383C22×C5C2×#12511yescharacteristic
384C22×C5#52911yescharacteristic
385C22×C5#52911yescharacteristic
386C22×C5C2×C4⋊Q811yescharacteristic
387C22×C5#53311yescharacteristic
388C22×C5#54211yescharacteristic
389C22×C5#54211yescharacteristic
390C22×C5#54411yescharacteristic
391C22×C5#54411yescharacteristic
392C22×C5#54611yescharacteristic
393C22×C5#54611yescharacteristic
394C22×C5#54611yescharacteristic
395C22×C5#54711yescharacteristic
396C22×C5#54811yescharacteristic
397C22×C5#54811yescharacteristic
398C22×C5#54811yescharacteristic
399C22×C5#55011yescharacteristic
400C22×C5#55211yescharacteristic
401C22×C5#55311yescharacteristic
402C22×C5#55411yescharacteristic
403C22×C5#55411yescharacteristic
404C22×C5#55511yescharacteristic
405C22×C5#55611yescharacteristic
406C22×C5#55711yescharacteristic
407C22×C5#55711yescharacteristic
408C4×C5—28no—
409C4×C5—24no—
410C4×C5—42no—
411C4×C5—42no—
412C4×C5—44no—
413C4×C5—42no—
414C4×C5—44no—
415C4×C5—42no—
416C4×C5—42no—
417C4×C5—82no—
418C4×C5#38918yes—
419C24C24×C511yescharacteristic
420C22×C4—21no—
421C22×C4—22no—
422C22×C4—21no—
423C22×C4—22no—
424C22×C4—21no—
425C22×C4—22no—
426C22×C4—22no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—21no—
432C22×C4—21no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—21no—
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—22no—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—21no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—22no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—22no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4C22×C4×C512yes—
478C22×C4C22×C4×C514yes—
479C22×C4C22×C4×C512yes—
480C22×C4C22×C4×C514yes—
481C22×C4C22×C4×C512yes—
482C22×C4C2×C5×D414yes—
483C22×C4C2×C5×D414yes—
484C22×C4C2×C5×D412yes—
485C22×C4C2×C5×D412yes—
486C22×C4C2×C5×Q812yes—
487C22×C4C2×C5×Q814yes—
488C22×C4C2×C5×Q812yes—
489C22×C4C2×C5×Q812yes—
490C22×C4C2×C5×Q812yes—
491C22×C4C5×#4112yes—
492C22×C4C5×#4112yes—
493C22×C4C5×#4112yes—
494C22×C4C5×#4112yes—
495C22×C4C5×#4112yes—
496C22×C4C5×#4112yes—
497C4⋊C4—28no—
498C4⋊C4—28no—
499C4⋊C4—48no—
500C4⋊C4—48no—
501C4⋊C4—48no—
502C4⋊C4—44no—
503C4⋊C4C5×C4⋊C4116yescomplemented
504C42—28no—
505C42—28no—
506C42—48no—
507C42—44no—
508C2×C5C2×#38911yescharacteristic
509C2×C5C4×#12511yescharacteristic
510C2×C5#233111yescharacteristic
511C2×C5#234911yescharacteristic
512C2×C5#235111yescharacteristic
513C2×C5#236211yescharacteristic
514C2×C5#236311yescharacteristic
515C2×C5#242611yescharacteristic
516C2×C5#242711yescharacteristic
517C2×C5#243911yescharacteristic
518C2×C5#244211yescharacteristic
519C2×C5#250811yescharacteristic
520C2×C5#250911yescharacteristic
521C2×C5#255011yescharacteristic
522C2×C5#255211yescharacteristic
523C23C23×C4×C511yescharacteristic
524C23C22×C5×D411yescharacteristic
525C23C22×C5×D411yescharacteristic
526C23C22×C5×Q811yescharacteristic
527C23C22×C5×Q811yescharacteristic
528C23C2×C5×#4111yescharacteristic
529C23C2×C5×#4111yescharacteristic
530C23C2×C5×#4111yescharacteristic
531C23C2×C5×#4111yescharacteristic
532C23C2×C5×#4111yescharacteristic
533C23C2×C5×#4111yescharacteristic
534C23C5×H(5,𝔽2)11yescharacteristic
535C23C5×H(5,𝔽2)11yescharacteristic
536C23C5×2−1+411yescharacteristic
537C23C5×2−1+411yescharacteristic
538C2×C4—24no—
539C2×C4—24no—
540C2×C4—22no—
541C2×C4—22no—
542C2×C4—22no—
543C2×C4—24no—
544C2×C4—24no—
545C2×C4—22no—
546C2×C4—22no—
547C2×C4—22no—
548C2×C4—24no—
549C2×C4—24no—
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—24no—
553C2×C4—22no—
554C2×C4—22no—
555C2×C4—24no—
556C2×C4—22no—
557C2×C4—24no—
558C2×C4—22no—
559C2×C4—24no—
560C2×C4—22no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—24no—
568C2×C4—24no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—42no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—42no—
577C2×C4—42no—
578C2×C4—42no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—42no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—42no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—42no—
594C2×C4—41no—
595C2×C4—42no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4C2×C5×C4⋊C418yes—
607C2×C4C2×C5×C4⋊C414yes—
608C2×C4C4×C5×D414yes—
609C2×C4C4×C5×Q814yes—
610C2×C4C5×#12114yes—
611C2×C4C5×C22⋊Q814yes—
612C2×C4C5×#12514yes—
613C2×C4C5×#12514yes—
614C2×C4C5×C4⋊Q814yes—
615C5#1400611yescharacteristic, direct product factor, Sylow
616C22C22×C5×C4⋊C411yescharacteristic
617C22C2×C4×C5×D411yescharacteristic
618C22C2×C4×C5×Q811yescharacteristic
619C22C4×C5×#4111yescharacteristic
620C22C4×C5×#4111yescharacteristic
621C22C5×#51811yescharacteristic
622C22C5×#51911yescharacteristic
623C22C2×C5×#12111yescharacteristic
624C22C2×C5×C22⋊Q811yescharacteristic
625C22C2×C5×#12511yescharacteristic
626C22C2×C5×#12511yescharacteristic
627C22C5×#52911yescharacteristic
628C22C5×#52911yescharacteristic
629C22C2×C5×C4⋊Q811yescharacteristic
630C22C5×#53311yescharacteristic
631C22C5×#54211yescharacteristic
632C22C5×#54211yescharacteristic
633C22C5×#54411yescharacteristic
634C22C5×#54411yescharacteristic
635C22C5×#54611yescharacteristic
636C22C5×#54611yescharacteristic
637C22C5×#54611yescharacteristic
638C22C5×#54711yescharacteristic
639C22C5×#54811yescharacteristic
640C22C5×#54811yescharacteristic
641C22C5×#54811yescharacteristic
642C22C5×#55011yescharacteristic
643C22C5×#55211yescharacteristic
644C22C5×#55311yescharacteristic
645C22C5×#55411yescharacteristic
646C22C5×#55411yescharacteristic
647C22C5×#55511yescharacteristic
648C22C5×#55611yescharacteristic
649C22C5×#55711yescharacteristic
650C22C5×#55711yescharacteristic
651C4—28no—
652C4—24no—
653C4—42no—
654C4—42no—
655C4—44no—
656C4—42no—
657C4—44no—
658C4—42no—
659C4—42no—
660C4—82no—
661C4C5×#38918yes—
662C2C2×C5×#38911yescharacteristic
663C2C4×C5×#12511yescharacteristic
664C2C5×#233111yescharacteristic
665C2C5×#234911yescharacteristic
666C2C5×#235111yescharacteristic
667C2C5×#236211yescharacteristic
668C2C5×#236311yescharacteristic
669C2C5×#242611yescharacteristic
670C2C5×#242711yescharacteristic
671C2C5×#243911yescharacteristic
672C2C5×#244211yescharacteristic
673C2C5×#250811yescharacteristic
674C2C5×#250911yescharacteristic
675C2C5×#255011yescharacteristic
676C2C5×#255211yescharacteristic
subgroupG/H
center, socle, prime radicalC24×C5C24
commutatorC23C23×C4×C5
Frattini, cosocleC24C24×C5
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C5 ◁ G

Complements

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

NH ≅ G/Ntype
25. C5×#389C4semidirect
40. #14006C5direct (N × H)
192. C5×C4⋊C4C4⋊C4semidirect
210. #389C4×C5semidirect
503. C4⋊C4C5×C4⋊C4semidirect
615. C5#14006direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#3892
C2×C5×#3822
C2×C4×C5×C4⋊C42
C5×#14422
C5×#14412
C5×#14362
C5×C4⋊#952
C4×C5×#952
#140065