Finite Group Databasebeta

← #12021706

Subgroups — #12021706

Order 1280.

1710 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×Dic10C211yesmaximal, characteristic
2C2×#65266C211yesmaximal, characteristic
3C2×C4⋊C4×Dic5C211yesmaximal, characteristic
4C5×C4⋊#95C211yesmaximal, characteristic
5#10602356C211yesmaximal, characteristic
6#10602356C211yesmaximal, characteristic
7#10602328C211yesmaximal, characteristic
8#10600217C212yesmaximal
9#10600214C212yesmaximal
10#10600200C212yesmaximal
11#10600199C212yesmaximal
12C23×Dic10C2211yescharacteristic
13C22×C5×C4⋊C4C2211yescharacteristic
14C22×C5×C4⋊C4C2211yescharacteristic
15C22×C42×C5C2211yescharacteristic
16C22×C4⋊Dic5C2211yescharacteristic
17C22×C4⋊Dic5C2211yescharacteristic
18C22×C4⋊Dic5C2211yescharacteristic
19C22×#683C2211yescharacteristic
20C22×#683C2211yescharacteristic
21C22×C4×Dic5C2211yescharacteristic
22C22×C4×Dic5C2212yes—
23C22×C4×Dic5C2211yescharacteristic
24C2×C4×Dic10—24no—
25C2×C4×Dic10—24no—
26C2×C4×Dic10C418yescomplemented
27C2×C5×#95C2212yes—
28C2×C5×#95C2212yes—
29C2×#3963C2212yes—
30C2×#3963C2212yes—
31C2×#3963C2212yes—
32C2×#3963C2212yes—
33C2×#3963C2212yes—
34C2×#3963C2212yes—
35C2×#3963C2212yes—
36C2×#3963C2212yes—
37C2×#3963C2212yes—
38#65266—24no—
39C4⋊C4×Dic5—24no—
40#13925—51nomaximal, Sylow
41C23×C4×C5C2312yes—
42C23×C4×C5C2311yescharacteristic
43C23×C4×C5C2312yes—
44C23×C4×C5C2311yescharacteristic
45C23×C4×C5C2311yescharacteristic
46C23×Dic5C2312yes—
47C23×Dic5C2311yescharacteristic
48C23×Dic5C2312yes—
49C23×Dic5C2311yescharacteristic
50C23×Dic5C2311yescharacteristic
51C23×Dic5C2311yescharacteristic
52C22×Dic10—22no—
53C22×Dic10—22no—
54C22×Dic10—22no—
55C22×Dic10—22no—
56C22×Dic10—22no—
57C22×Dic10—22no—
58C22×Dic10C2×C414yes—
59C2×C5×C4⋊C4—22no—
60C2×C5×C4⋊C4—22no—
61C2×C5×C4⋊C4—22no—
62C2×C5×C4⋊C4—22no—
63C2×C5×C4⋊C4—22no—
64C2×C5×C4⋊C4Q814yescomplemented
65C2×C42×C5—22no—
66C2×C42×C5—22no—
67C2×C42×C5C2×C414yes—
68C2×C4⋊Dic5—22no—
69C2×C4⋊Dic5—22no—
70C2×C4⋊Dic5—22no—
71C2×C4⋊Dic5—22no—
72C2×C4⋊Dic5—22no—
73C2×C4⋊Dic5—22no—
74C2×C4⋊Dic5—22no—
75C2×C4⋊Dic5C2×C414yes—
76C2×C4⋊Dic5Q814yescomplemented
77C2×#683—22no—
78C2×#683—22no—
79C2×#683—22no—
80C2×#683—22no—
81C2×#683C2×C414yes—
82C2×#683C2×C414yes—
83C2×C4×Dic5—22no—
84C2×C4×Dic5—22no—
85C2×C4×Dic5—24no—
86C2×C4×Dic5—42no—
87C2×C4×Dic5—42no—
88C2×C4×Dic5C2×C414yes—
89C2×C4×Dic5C2×C414yes—
90C2×C4×Dic5D414yes—
91C2×C4×Dic5D414yes—
92C4×Dic10—232no—
93C5×#95—24no—
94C5×#95—42no—
95#3963—24no—
96#3963—24no—
97#3963—24no—
98#3963—24no—
99#3963—24no—
100#3963—24no—
101#3963—42no—
102#3963—42no—
103#3963—42no—
104C22×C4×Q8—51no—
105C2×#382—51no—
106C2×C4×C4⋊C4—51no—
107#1446—52no—
108#1445—52no—
109#1436—52no—
110#1436—52no—
111C4⋊#95—51no—
112C4⋊#95—51no—
113C4⋊#95—51no—
114C4⋊#95D511yescharacteristic
115C24×C5C2411yescharacteristic
116C22×C4×C5—21no—
117C22×C4×C5—21no—
118C22×C4×C5—21no—
119C22×C4×C5—21no—
120C22×C4×C5—21no—
121C22×C4×C5—21no—
122C22×C4×C5—22no—
123C22×C4×C5—22no—
124C22×C4×C5—22no—
125C22×C4×C5—22no—
126C22×C4×C5—21no—
127C22×C4×C5—22no—
128C22×C4×C5—21no—
129C22×C4×C5—22no—
130C22×C4×C5—21no—
131C22×C4×C5—21no—
132C22×C4×C5—22no—
133C22×C4×C5—22no—
134C22×C4×C5—22no—
135C22×C4×C5—22no—
136C22×C4×C5—22no—
137C22×C4×C5—22no—
138C22×C4×C5—22no—
139C22×C4×C5C22×C412yes—
140C22×C4×C5C22×C412yes—
141C22×C4×C5C22×C412yes—
142C22×C4×C5C2×D412yes—
143C22×C4×C5C2×D412yes—
144C22×C4×C5C2×Q814yes—
145C22×C4×C5C2×Q812yes—
146C22×C4×C5C2×Q812yes—
147C22×C4×C5#4112yes—
148C22×C4×C5#4112yes—
149C22×C4×C5#4112yes—
150C22×C4×C5#4112yes—
151C22×Dic5—21no—
152C22×Dic5—21no—
153C22×Dic5—21no—
154C22×Dic5—21no—
155C22×Dic5—21no—
156C22×Dic5—21no—
157C22×Dic5—21no—
158C22×Dic5—21no—
159C22×Dic5—21no—
160C22×Dic5—21no—
161C22×Dic5—21no—
162C22×Dic5—21no—
163C22×Dic5—22no—
164C22×Dic5—21no—
165C22×Dic5—21no—
166C22×Dic5—22no—
167C22×Dic5—22no—
168C22×Dic5—22no—
169C22×Dic5—21no—
170C22×Dic5—21no—
171C22×Dic5—22no—
172C22×Dic5—22no—
173C22×Dic5—21no—
174C22×Dic5—21no—
175C22×Dic5—22no—
176C22×Dic5—22no—
177C22×Dic5—22no—
178C22×Dic5—22no—
179C22×Dic5—22no—
180C22×Dic5—22no—
181C22×Dic5—22no—
182C22×Dic5C22×C412yes—
183C22×Dic5C22×C412yes—
184C22×Dic5C22×C412yes—
185C22×Dic5C22×C412yes—
186C22×Dic5C2×D412yes—
187C22×Dic5C2×D412yes—
188C22×Dic5C2×D412yes—
189C22×Dic5C2×D412yes—
190C22×Dic5C2×Q814yes—
191C22×Dic5#4112yes—
192C22×Dic5#4112yes—
193C2×Dic10—28no—
194C2×Dic10—28no—
195C2×Dic10—28no—
196C2×Dic10—28no—
197C2×Dic10—28no—
198C2×Dic10—28no—
199C2×Dic10—28no—
200C5×C4⋊C4—28no—
201C5×C4⋊C4—44no—
202C42×C5—28no—
203C4⋊Dic5—28no—
204C4⋊Dic5—28no—
205C4⋊Dic5—44no—
206#683—28no—
207#683—28no—
208C4×Dic5—28no—
209C4×Dic5—48no—
210C4×Dic5C22⋊C4116yes—
211C23×Q8—51no—
212C2×C4×Q8—58no—
213C2×C4×Q8—104no—
214C2×C4×Q8—104no—
215C22×C4⋊C4—51no—
216C22×C4⋊C4—51no—
217C22×C4⋊C4—51no—
218C22×C4⋊C4—51no—
219C22×C4⋊C4—51no—
220C22×C4⋊C4C2×D511yescharacteristic
221C22×C4⋊C4C2×D511yescharacteristic
222C22×C42—51no—
223C22×C42—51no—
224C22×C42—52no—
225C22×C42C2×D511yescharacteristic
226#382—104no—
227C4×C4⋊C4—104no—
228C2×#95—52no—
229C2×#95—52no—
230C2×#95—52no—
231C2×#95—52no—
232C2×#95—52no—
233C2×#95—52no—
234C2×#95—52no—
235C2×#95—52no—
236C2×#95—52no—
237C2×#95C2×D512yes—
238C2×#95C2×D512yes—
239C23×C5C23×C411yescharacteristic
240C23×C5C22×D411yescharacteristic
241C23×C5C22×D411yescharacteristic
242C23×C5C22×Q811yescharacteristic
243C23×C5C22×Q811yescharacteristic
244C23×C5C2×#4111yescharacteristic
245C23×C5C2×#4111yescharacteristic
246C23×C5C2×#4111yescharacteristic
247C23×C5C2×#4111yescharacteristic
248C23×C5C2×#4111yescharacteristic
249C23×C5C2×#4111yescharacteristic
250C23×C5H(5,𝔽2)11yescharacteristic
251C23×C5H(5,𝔽2)11yescharacteristic
252C23×C52−1+411yescharacteristic
253C23×C52−1+411yescharacteristic
254C2×C4×C5—22no—
255C2×C4×C5—22no—
256C2×C4×C5—22no—
257C2×C4×C5—22no—
258C2×C4×C5—22no—
259C2×C4×C5—22no—
260C2×C4×C5—22no—
261C2×C4×C5—22no—
262C2×C4×C5—22no—
263C2×C4×C5—24no—
264C2×C4×C5—24no—
265C2×C4×C5—24no—
266C2×C4×C5—42no—
267C2×C4×C5—42no—
268C2×C4×C5—41no—
269C2×C4×C5—41no—
270C2×C4×C5—41no—
271C2×C4×C5—41no—
272C2×C4×C5—42no—
273C2×C4×C5—42no—
274C2×C4×C5—42no—
275C2×C4×C5—42no—
276C2×C4×C5—42no—
277C2×C4×C5—42no—
278C2×C4×C5—42no—
279C2×C4×C5—42no—
280C2×C4×C5—42no—
281C2×C4×C5C2×C22⋊C414yes—
282C2×C4×C5#11714yes—
283C2×C4×C5C4×Q814yes—
284C2×C4×C5C4×Q814yes—
285C2×C4×C5C22⋊Q814yes—
286C2×C4×C5C22⋊Q814yes—
287C2×C4×C5#12414yes—
288C2×C4×C5C4⋊Q814yes—
289C2×Dic5—22no—
290C2×Dic5—22no—
291C2×Dic5—22no—
292C2×Dic5—22no—
293C2×Dic5—22no—
294C2×Dic5—22no—
295C2×Dic5—22no—
296C2×Dic5—22no—
297C2×Dic5—22no—
298C2×Dic5—22no—
299C2×Dic5—22no—
300C2×Dic5—22no—
301C2×Dic5—22no—
302C2×Dic5—22no—
303C2×Dic5—22no—
304C2×Dic5—22no—
305C2×Dic5—22no—
306C2×Dic5—22no—
307C2×Dic5—22no—
308C2×Dic5—22no—
309C2×Dic5—22no—
310C2×Dic5—24no—
311C2×Dic5—24no—
312C2×Dic5—24no—
313C2×Dic5—42no—
314C2×Dic5—42no—
315C2×Dic5—41no—
316C2×Dic5—41no—
317C2×Dic5—41no—
318C2×Dic5—41no—
319C2×Dic5—42no—
320C2×Dic5—42no—
321C2×Dic5—42no—
322C2×Dic5—42no—
323C2×Dic5—42no—
324C2×Dic5—42no—
325C2×Dic5—42no—
326C2×Dic5—42no—
327C2×Dic5—42no—
328C2×Dic5C2×C22⋊C414yes—
329C2×Dic5C2×C22⋊C414yes—
330C2×Dic5#11714yes—
331Dic10—232no—
332C22×Q8—54no—
333C22×Q8—102no—
334C22×Q8—102no—
335C22×Q8—102no—
336C22×Q8—102no—
337C22×Q8—102no—
338C22×Q8—102no—
339C23×C4—51no—
340C23×C4—51no—
341C23×C4—51no—
342C23×C4—51no—
343C23×C4—52no—
344C23×C4—52no—
345C23×C4C22×D512yes—
346C23×C4C22×D512yes—
347C23×C4C22×D511yescharacteristic
348C23×C4C22×D511yescharacteristic
349C23×C4C22×D511yescharacteristic
350C4×Q8—1032no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—54no—
357C2×C4⋊C4—54no—
358C2×C4⋊C4—54no—
359C2×C4⋊C4—54no—
360C2×C4⋊C4—102no—
361C2×C4⋊C4—102no—
362C2×C4⋊C4—102no—
363C2×C4⋊C4—102no—
364C2×C4⋊C4—102no—
365C2×C4⋊C4—102no—
366C2×C4⋊C4—102no—
367C2×C4⋊C4—102no—
368C2×C4⋊C4—102no—
369C2×C4⋊C4—102no—
370C2×C4⋊C4—102no—
371C2×C4⋊C4Dic1014yescomplemented
372C2×C42—22no—
373C2×C42—22no—
374C2×C42—54no—
375C2×C42—54no—
376C2×C42—54no—
377C2×C42—54no—
378C2×C42—102no—
379C2×C42—102no—
380C2×C42—104no—
381C2×C42—202no—
382C2×C42—202no—
383C2×C42C4×D514yes—
384#95—24no—
385#95—42no—
386#95—104no—
387#95—104no—
388#95—104no—
389#95—104no—
390#95—104no—
391#95—104no—
392#95—202no—
393#95—202no—
394#95—202no—
395C22×C5C22×C22⋊C411yescharacteristic
396C22×C5C2×#11711yescharacteristic
397C22×C5C2×#11711yescharacteristic
398C22×C5C2×C4×Q811yescharacteristic
399C22×C5C2×C4×Q811yescharacteristic
400C22×C5#52011yescharacteristic
401C22×C5#52011yescharacteristic
402C22×C5C2×C22⋊Q811yescharacteristic
403C22×C5C2×C22⋊Q811yescharacteristic
404C22×C5#52511yescharacteristic
405C22×C5#52511yescharacteristic
406C22×C5#52511yescharacteristic
407C22×C5#52511yescharacteristic
408C22×C5C2×#12411yescharacteristic
409C22×C5C2×C4⋊Q811yescharacteristic
410C22×C5#53511yescharacteristic
411C22×C5#53611yescharacteristic
412C22×C5#53711yescharacteristic
413C22×C5#53711yescharacteristic
414C22×C5#55411yescharacteristic
415C22×C5#55411yescharacteristic
416C22×C5#55411yescharacteristic
417C22×C5#55411yescharacteristic
418C22×C5#55611yescharacteristic
419C22×C5#55611yescharacteristic
420C22×C5#55611yescharacteristic
421C22×C5#55611yescharacteristic
422C22×C5#55711yescharacteristic
423C22×C5#55711yescharacteristic
424C22×C5#55711yescharacteristic
425C22×C5#55711yescharacteristic
426C22×C5#55911yescharacteristic
427C22×C5#55911yescharacteristic
428C22×C5#55911yescharacteristic
429C22×C5#55911yescharacteristic
430C4×C5—24no—
431C4×C5—42no—
432C4×C5—44no—
433C4×C5—82no—
434C4×C5#39118yes—
435Dic5—24no—
436Dic5—24no—
437Dic5—24no—
438Dic5—42no—
439Dic5—44no—
440Dic5—82no—
441C24C23×D511yescharacteristic
442C2×Q8—108no—
443C2×Q8—108no—
444C2×Q8—108no—
445C2×Q8—108no—
446C2×Q8—108no—
447C2×Q8—108no—
448C2×Q8—108no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—22no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—21no—
459C22×C4—22no—
460C22×C4—21no—
461C22×C4—22no—
462C22×C4—21no—
463C22×C4—22no—
464C22×C4—21no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—52no—
473C22×C4—52no—
474C22×C4—52no—
475C22×C4—52no—
476C22×C4—52no—
477C22×C4—52no—
478C22×C4—52no—
479C22×C4—52no—
480C22×C4—52no—
481C22×C4—52no—
482C22×C4—54no—
483C22×C4—101no—
484C22×C4—101no—
485C22×C4—101no—
486C22×C4—101no—
487C22×C4—101no—
488C22×C4—101no—
489C22×C4—101no—
490C22×C4—101no—
491C22×C4—101no—
492C22×C4—101no—
493C22×C4—101no—
494C22×C4—101no—
495C22×C4—102no—
496C22×C4—102no—
497C22×C4—101no—
498C22×C4—101no—
499C22×C4—101no—
500C22×C4—102no—
501C22×C4—102no—
502C22×C4—101no—
503C22×C4—102no—
504C22×C4—101no—
505C22×C4—102no—
506C22×C4—101no—
507C22×C4—102no—
508C22×C4—102no—
509C22×C4—102no—
510C22×C4—102no—
511C22×C4—102no—
512C22×C4—102no—
513C22×C4—102no—
514C22×C4C2×Dic1014yes—
515C22×C4C2×Dic1012yes—
516C22×C4C2×C4×D512yes—
517C22×C4C2×C4×D512yes—
518C22×C4C2×C4×D512yes—
519C22×C4#70912yes—
520C22×C4D4×D512yes—
521C22×C4D4×D512yes—
522C22×C4#71112yes—
523C22×C4#71112yes—
524C22×C4Q8×D512yes—
525C22×C4#71312yes—
526C4⋊C4—28no—
527C4⋊C4—44no—
528C4⋊C4—108no—
529C4⋊C4—108no—
530C4⋊C4—108no—
531C4⋊C4—108no—
532C4⋊C4—204no—
533C42—28no—
534C42—516no—
535C42—108no—
536C42—208no—
537C2×C5#228011yescharacteristic
538C2×C5C2×#39111yescharacteristic
539C2×C5#231111yescharacteristic
540C2×C5#235511yescharacteristic
541C2×C5#235511yescharacteristic
542C2×C5#235511yescharacteristic
543C2×C5#235511yescharacteristic
544C2×C5#258011yescharacteristic
545C2×C5#258011yescharacteristic
546C2×C5#258111yescharacteristic
547C2×C5#258111yescharacteristic
548C2×C5#258411yescharacteristic
549C2×C5#258411yescharacteristic
550C2×C5#259211yescharacteristic
551C2×C5#259211yescharacteristic
552C23C22×Dic1011yescharacteristic
553C23C22×C4×D511yescharacteristic
554C23C2×#70911yescharacteristic
555C23C2×D4×D511yescharacteristic
556C23C2×D4×D511yescharacteristic
557C23C2×#71111yescharacteristic
558C23C2×#71111yescharacteristic
559C23#414411yescharacteristic
560C23C2×Q8×D511yescharacteristic
561C23C2×#71311yescharacteristic
562C23#414711yescharacteristic
563C23D5×#4111yescharacteristic
564C23D5×#4111yescharacteristic
565C23#414911yescharacteristic
566C23#415011yescharacteristic
567Q8—1032no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—24no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—24no—
579C2×C4—24no—
580C2×C4—42no—
581C2×C4—42no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—42no—
587C2×C4—42no—
588C2×C4—42no—
589C2×C4—42no—
590C2×C4—42no—
591C2×C4—42no—
592C2×C4—42no—
593C2×C4—42no—
594C2×C4—42no—
595C2×C4—54no—
596C2×C4—54no—
597C2×C4—54no—
598C2×C4—102no—
599C2×C4—102no—
600C2×C4—102no—
601C2×C4—102no—
602C2×C4—102no—
603C2×C4—102no—
604C2×C4—102no—
605C2×C4—102no—
606C2×C4—102no—
607C2×C4—102no—
608C2×C4—102no—
609C2×C4—102no—
610C2×C4—102no—
611C2×C4—102no—
612C2×C4—102no—
613C2×C4—102no—
614C2×C4—102no—
615C2×C4—102no—
616C2×C4—104no—
617C2×C4—102no—
618C2×C4—102no—
619C2×C4—104no—
620C2×C4—102no—
621C2×C4—104no—
622C2×C4—202no—
623C2×C4—202no—
624C2×C4—202no—
625C2×C4—201no—
626C2×C4—201no—
627C2×C4—202no—
628C2×C4—201no—
629C2×C4—201no—
630C2×C4—202no—
631C2×C4—202no—
632C2×C4—202no—
633C2×C4—202no—
634C2×C4—202no—
635C2×C4—202no—
636C2×C4—202no—
637C2×C4C4×Dic1014yes—
638C2×C4#402414yes—
639C2×C4D5×C22⋊C414yes—
640C2×C4#403114yes—
641C2×C4#403314yes—
642C2×C4#403414yes—
643C2×C4#403814yes—
644C2×C4#404214yes—
645C5#1392511yescharacteristic, complemented, Sylow
646C22C2×C4×Dic1011yescharacteristic
647C22C2×#402411yescharacteristic
648C22C2×D5×C22⋊C411yescharacteristic
649C22C2×#403111yescharacteristic
650C22C2×#403311yescharacteristic
651C22C2×#403411yescharacteristic
652C22C2×#403811yescharacteristic
653C22#6583811yescharacteristic
654C22C2×#404211yescharacteristic
655C22D5×#11711yescharacteristic
656C22#6585711yescharacteristic
657C22#6587311yescharacteristic
658C22#6587611yescharacteristic
659C22#6587711yescharacteristic
660C22#6589311yescharacteristic
661C22#6590211yescharacteristic
662C22#6590311yescharacteristic
663C22#6590411yescharacteristic
664C22#6591911yescharacteristic
665C22#6594011yescharacteristic
666C22#6594011yescharacteristic
667C22#6594111yescharacteristic
668C22#6594211yescharacteristic
669C22#6596111yescharacteristic
670C22#6596111yescharacteristic
671C22#6596211yescharacteristic
672C22#6596311yescharacteristic
673C22#6600511yescharacteristic
674C22#6601511yescharacteristic
675C22#6601911yescharacteristic
676C22#6602411yescharacteristic
677C22#6604711yescharacteristic
678C22#6605511yescharacteristic
679C22#6606411yescharacteristic
680C22#6606611yescharacteristic
681C4—24no—
682C4—42no—
683C4—44no—
684C4—82no—
685C4—104no—
686C4—104no—
687C4—104no—
688C4—202no—
689C4—204no—
690C4—402no—
691C4#6493518yes—
692C2C2×#6493511yescharacteristic
693C2#1060537111yescharacteristic
694C2#1060537311yescharacteristic
695C2#1060559311yescharacteristic
696C2#1060573411yescharacteristic
697C2#1060588911yescharacteristic
698C2#1060605611yescharacteristic
699C2#1060780611yescharacteristic
700C2#1060780711yescharacteristic
701C2#1060780911yescharacteristic
702C2#1060781011yescharacteristic
703C2#1060809511yescharacteristic
704C2#1060809611yescharacteristic
705C2#1060827811yescharacteristic
706C2#1060828611yescharacteristic
subgroupG/H
center, FrattiniC24C23×D5
commutatorC23×C5C23×C4
FittingC5×C4⋊#95C2
socle, prime radical, cosocleC24×C5C24
hypercenterC4⋊#95D5
hypocenterC5#13925
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C24 ◁ C4⋊#95

Complements

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

NH ≅ G/Ntype
26. C2×C4×Dic10C4semidirect
64. C2×C5×C4⋊C4Q8semidirect
76. C2×C4⋊Dic5Q8semidirect
371. C2×C4⋊C4Dic10semidirect
645. C5#13925semidirect

Maximal subgroups

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

subgroupindex
C22×C4×Dic102
C2×#652662
C2×C4⋊C4×Dic52
C5×C4⋊#952
#106023562
#106023282
#106002172
#106002142
#106002002
#106001992
#139255