Finite Group Databasebeta

← #14302050

Subgroups — #14302050

Order 1920.

1196 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#6763C211yesmaximal, characteristic, complemented
2C2×C3×#4083C211yesmaximal, characteristic
3#11752459C211yesmaximal, characteristic, complemented
4C2×#91240C212yesmaximal, complemented
5#11746788C212yesmaximal, complemented
6#10604943—31nomaximal, Hall
7C24×C3×D5C2211yescharacteristic
8C23×ΓL(1,𝔽16)—21no—
9C22×C3×C5×D4C411yescharacteristic, complemented
10C22×C3×C22⋊D5C411yescharacteristic, complemented
11C22×C3×C22⋊D5C2211yescharacteristic
12C2×#6763—21no—
13C2×#6763—24no—
14C2×#6763—21no—
15C2×#6763—21no—
16C2×#6763C2212yes—
17C2×#6763C2212yes—
18C2×C3×C22⋊Dic5C411yescharacteristic, complemented
19C3×#4083—21no—
20C3×#4083—21no—
21C3×#4083—21no—
22C3×#4083—21no—
23C2×C3×#685C411yescharacteristic, complemented
24C2×C3×#685C2211yescharacteristic
25#91240—24no—
26#71670—51nomaximal, Hall
27C22×C22⋊AGL(1,𝔽5)—31no—
28C2×#4083D311yescharacteristic
29#65800—31no—
30C2×#4011—32no—
31#64917—32no—
32C24×C3×C5C2×C411yescharacteristic
33C24×C3×C5C2×C411yescharacteristic, complemented
34C23×C3×D5—22no—
35C23×C3×D5—22no—
36C23×C3×D5—42no—
37C23×C3×D5—42no—
38C23×C3×D5C2×C411yescharacteristic
39C23×C3×D5D411yescharacteristic
40C23×C3×D5D411yescharacteristic
41C23×C3×D5D411yescharacteristic
42C23×C3×D5D411yescharacteristic
43C23×C3×D5C2311yescharacteristic
44C22×ΓL(1,𝔽16)—24no—
45C22×ΓL(1,𝔽16)—22no—
46C22×ΓL(1,𝔽16)—22no—
47C22×ΓL(1,𝔽16)—42no—
48C22×ΓL(1,𝔽16)—42no—
49C2×C3×C5×D4—21no—
50C2×C3×C5×D4—21no—
51C2×C3×C5×D4—42no—
52C22×C3×C4×C5C2×C411yescharacteristic, complemented
53C2×C3×C22⋊D5—21no—
54C2×C3×C22⋊D5—21no—
55C2×C3×C22⋊D5—21no—
56C2×C3×C22⋊D5—21no—
57C2×C3×C22⋊D5—22no—
58C2×C3×C22⋊D5—22no—
59C2×C3×C22⋊D5—42no—
60C22×C3×Dic5C2×C411yescharacteristic, complemented
61C22×C3×Dic5C2×C411yescharacteristic, complemented
62#6763—24no—
63#6763—22no—
64#6763—22no—
65#6763—22no—
66#6763—42no—
67#6763—42no—
68#6763D414yescomplemented
69C3×C22⋊Dic5—21no—
70C3×C22⋊Dic5—21no—
71C3×#685—21no—
72C3×#685—21no—
73C3×#685—21no—
74C3×#685—21no—
75C2×C3×#120—51no—
76C22×#217—51no—
77#5247—51no—
78C2×#834—52no—
79#4526—52no—
80C24×D5C2×D311yescharacteristic
81C23×AGL(1,𝔽5)—61no—
82C22×C5×D4Dic311yescharacteristic, complemented
83C22×C22⋊D5Dic311yescharacteristic, complemented
84C22×C22⋊D5C2×D311yescharacteristic
85C2×C22⋊AGL(1,𝔽5)—32no—
86C2×C22⋊AGL(1,𝔽5)—32no—
87C2×C22⋊AGL(1,𝔽5)—64no—
88C2×C22⋊AGL(1,𝔽5)—61no—
89C2×C22⋊AGL(1,𝔽5)—61no—
90C2×C22⋊AGL(1,𝔽5)—61no—
91C2×C22⋊Dic5Dic311yescharacteristic, complemented
92#4083—21no—
93#4083—21no—
94#4083—21no—
95#4083—21no—
96C2×#685Dic311yescharacteristic, complemented
97C2×#685C2×D311yescharacteristic
98#4011—64no—
99#1898—151noSylow
100C23×C3×C5—22no—
101C23×C3×C5—22no—
102C23×C3×C5—21no—
103C23×C3×C5—22no—
104C23×C3×C5—41no—
105C23×C3×C5—41no—
106C23×C3×C5—41no—
107C23×C3×C5C22⋊C411yescharacteristic
108C23×C3×C5C22⋊C411yescharacteristic
109C23×C3×C5C22×C411yescharacteristic
110C22×C3×D5—22no—
111C22×C3×D5—22no—
112C22×C3×D5—21no—
113C22×C3×D5—21no—
114C22×C3×D5—22no—
115C22×C3×D5—22no—
116C22×C3×D5—22no—
117C22×C3×D5—22no—
118C22×C3×D5—21no—
119C22×C3×D5—22no—
120C22×C3×D5—22no—
121C22×C3×D5—21no—
122C22×C3×D5—41no—
123C22×C3×D5—41no—
124C22×C3×D5—41no—
125C22×C3×D5—41no—
126C22×C3×D5—41no—
127C22×C3×D5—41no—
128C22×C3×D5—41no—
129C22×C3×D5—48no—
130C22×C3×D5—48no—
131C22×C3×D5C22⋊C411yescharacteristic
132C22×C3×D5C22⋊C411yescharacteristic
133C22×C3×D5C2×D411yescharacteristic
134C22×C3×D5C2×D411yescharacteristic
135C22×C3×D5C2×D412yes—
136C22×C3×D5#4112yes—
137C2×ΓL(1,𝔽16)—24no—
138C2×ΓL(1,𝔽16)—48no—
139C2×ΓL(1,𝔽16)—42no—
140C2×ΓL(1,𝔽16)—42no—
141C2×ΓL(1,𝔽16)—42no—
142C2×ΓL(1,𝔽16)—42no—
143C2×ΓL(1,𝔽16)—42no—
144C3×C5×D4—42no—
145C3×C5×D4—42no—
146C2×C3×C4×C5—21no—
147C2×C3×C4×C5—41no—
148C3×C22⋊D5—42no—
149C3×C22⋊D5—42no—
150C3×C22⋊D5—41no—
151C3×C22⋊D5—42no—
152C3×C22⋊D5—41no—
153C2×C3×Dic5—21no—
154C2×C3×Dic5—21no—
155C2×C3×Dic5—22no—
156C2×C3×Dic5—41no—
157C25×C3—51no—
158C22×C3×D4—51no—
159C22×C3×D4—51no—
160C22×C3×D4AGL(1,𝔽5)11yescharacteristic, complemented
161C23×Dic3—101no—
162C3×#120—101no—
163C3×#120—101no—
164C3×#120—101no—
165C3×#120—101no—
166C2×C3×C22⋊C4—51no—
167C2×C3×C22⋊C4—51no—
168C2×C3×C22⋊C4—51no—
169C2×#217—52no—
170C2×#217—52no—
171C2×#217—104no—
172C2×#217—101no—
173C2×#217—101no—
174C2×#217—101no—
175#834—104no—
176C24×C5C2×Dic311yescharacteristic
177C24×C5C2×Dic311yescharacteristic, complemented
178C23×D5—22no—
179C23×D5—22no—
180C23×D5—42no—
181C23×D5—42no—
182C23×D5C2×Dic311yescharacteristic
183C23×D5#6711yescharacteristic
184C23×D5#6711yescharacteristic
185C23×D5#6711yescharacteristic
186C23×D5#6711yescharacteristic
187C23×D5C22×D311yescharacteristic
188C22×AGL(1,𝔽5)—64no—
189C22×AGL(1,𝔽5)—62no—
190C22×AGL(1,𝔽5)—62no—
191C22×AGL(1,𝔽5)—122no—
192C22×AGL(1,𝔽5)—122no—
193C2×C5×D4—21no—
194C2×C5×D4—21no—
195C2×C5×D4—42no—
196C22×C4×C5C2×Dic311yescharacteristic, complemented
197C2×C22⋊D5—21no—
198C2×C22⋊D5—21no—
199C2×C22⋊D5—22no—
200C2×C22⋊D5—22no—
201C2×C22⋊D5—21no—
202C2×C22⋊D5—21no—
203C2×C22⋊D5—42no—
204C22×Dic5C2×Dic311yescharacteristic, complemented
205C22×Dic5C2×Dic311yescharacteristic, complemented
206C22⋊AGL(1,𝔽5)—34no—
207C22⋊AGL(1,𝔽5)—64no—
208C22⋊AGL(1,𝔽5)—62no—
209C22⋊AGL(1,𝔽5)—62no—
210C22⋊AGL(1,𝔽5)—62no—
211C22⋊AGL(1,𝔽5)—122no—
212C22⋊AGL(1,𝔽5)—122no—
213C22⋊Dic5—21no—
214C22⋊Dic5—21no—
215#685—21no—
216#685—21no—
217#685—21no—
218#685—21no—
219C2×#120—51no—
220C22×C22⋊C4—151no—
221C2×#99—152no—
222#379—151no—
223#342—152no—
224C22×C3×C5—21no—
225C22×C3×C5—21no—
226C22×C3×C5—21no—
227C22×C3×C5—21no—
228C22×C3×C5—21no—
229C22×C3×C5—21no—
230C22×C3×C5—21no—
231C22×C3×C5—44no—
232C22×C3×C5—41no—
233C22×C3×C5—41no—
234C22×C3×C5—41no—
235C22×C3×C5—82no—
236C22×C3×C5#9912yescomplemented
237C22×C3×C5C2×C22⋊C411yescharacteristic
238C22×C3×C5C4×D412yes—
239C2×C3×D5—24no—
240C2×C3×D5—24no—
241C2×C3×D5—21no—
242C2×C3×D5—21no—
243C2×C3×D5—21no—
244C2×C3×D5—21no—
245C2×C3×D5—21no—
246C2×C3×D5—21no—
247C2×C3×D5—21no—
248C2×C3×D5—21no—
249C2×C3×D5—21no—
250C2×C3×D5—42no—
251C2×C3×D5—42no—
252C2×C3×D5—44no—
253C2×C3×D5—44no—
254C2×C3×D5—44no—
255C2×C3×D5—42no—
256C2×C3×D5—42no—
257C2×C3×D5#9912yescomplemented
258C2×C3×D5#12011yescharacteristic
259C2×C3×D5#12112yes—
260C2×C3×D5#12311yescharacteristic
261ΓL(1,𝔽16)—44no—
262ΓL(1,𝔽16)—82no—
263C3×C4×C5—41no—
264C3×Dic5—41no—
265C3×Dic5—41no—
266C24×C3—51no—
267C24×C3—51no—
268C24×C3—51no—
269C24×C3—51no—
270C24×C3—51no—
271C24×C3—51no—
272C24×C3—102no—
273C24×C3—102no—
274C24×C3—202no—
275C24×C3—202no—
276C24×C3C2×AGL(1,𝔽5)11yescharacteristic
277C24×C3C2×AGL(1,𝔽5)11yescharacteristic, complemented
278C2×C3×D4—21no—
279C2×C3×D4—21no—
280C2×C3×D4—42no—
281C2×C3×D4—102no—
282C2×C3×D4—101no—
283C2×C3×D4—101no—
284C2×C3×D4—101no—
285C2×C3×D4—101no—
286C2×C3×D4—102no—
287C2×C3×D4—202no—
288C22×C3×C4—51no—
289C22×C3×C4—51no—
290C22×C3×C4C2×AGL(1,𝔽5)11yescharacteristic, complemented
291C22×Dic3—102no—
292C22×Dic3—104no—
293C22×Dic3—102no—
294C22×Dic3—202no—
295C22×Dic3—202no—
296C3×C22⋊C4—101no—
297C3×C22⋊C4—101no—
298C3×C22⋊C4—101no—
299C3×C22⋊C4—101no—
300C3×C22⋊C4—101no—
301C3×C22⋊C4—101no—
302#217—54no—
303#217—102no—
304#217—104no—
305#217—102no—
306#217—102no—
307#217—202no—
308#217—202no—
309C23×C5—22no—
310C23×C5—22no—
311C23×C5—21no—
312C23×C5—22no—
313C23×C5—41no—
314C23×C5—41no—
315C23×C5—41no—
316C23×C5#21711yescharacteristic
317C23×C5#21711yescharacteristic
318C23×C5C22×Dic311yescharacteristic
319C22×D5—22no—
320C22×D5—22no—
321C22×D5—21no—
322C22×D5—21no—
323C22×D5—22no—
324C22×D5—22no—
325C22×D5—22no—
326C22×D5—22no—
327C22×D5—21no—
328C22×D5—21no—
329C22×D5—22no—
330C22×D5—22no—
331C22×D5—41no—
332C22×D5—41no—
333C22×D5—41no—
334C22×D5—41no—
335C22×D5—41no—
336C22×D5—41no—
337C22×D5—41no—
338C22×D5—48no—
339C22×D5—48no—
340C22×D5#21711yescharacteristic
341C22×D5#21711yescharacteristic
342C22×D5D3×D412yes—
343C22×D5#23712yes—
344C22×D5C2×#6711yescharacteristic
345C22×D5C2×#6711yescharacteristic
346C2×AGL(1,𝔽5)—64no—
347C2×AGL(1,𝔽5)—128no—
348C2×AGL(1,𝔽5)—122no—
349C2×AGL(1,𝔽5)—122no—
350C2×AGL(1,𝔽5)—122no—
351C2×AGL(1,𝔽5)—122no—
352C2×AGL(1,𝔽5)—122no—
353C5×D4—42no—
354C5×D4—42no—
355C2×C4×C5—21no—
356C2×C4×C5—41no—
357C22⋊D5—42no—
358C22⋊D5—42no—
359C22⋊D5—41no—
360C22⋊D5—41no—
361C22⋊D5—42no—
362C2×Dic5—22no—
363C2×Dic5—21no—
364C2×Dic5—21no—
365C2×Dic5—41no—
366C25—51no—
367C22×D4—51no—
368C22×D4—51no—
369C22×D4ΓL(1,𝔽16)11yescharacteristic, complemented
370C23×C4—301no—
371#120—101no—
372#120—101no—
373#120—101no—
374#120—101no—
375C2×C22⋊C4—51no—
376C2×C22⋊C4—51no—
377C2×C22⋊C4—51no—
378C2×C22⋊C4—152no—
379C2×C22⋊C4—152no—
380C2×C22⋊C4—304no—
381C2×C22⋊C4—301no—
382C2×C22⋊C4—301no—
383C2×C22⋊C4—301no—
384#99—304no—
385C2×C3×C5—22no—
386C2×C3×C5—22no—
387C2×C3×C5—41no—
388C2×C3×C5—81no—
389C2×C3×C5#38611yescharacteristic
390C2×C3×C5C2×#9911yescharacteristic
391C2×C3×C5C2×#9911yescharacteristic
392C3×D5—21no—
393C3×D5—22no—
394C3×D5—22no—
395C3×D5—21no—
396C3×D5—41no—
397C23×C3—22no—
398C23×C3—22no—
399C23×C3—21no—
400C23×C3—22no—
401C23×C3—41no—
402C23×C3—41no—
403C23×C3—41no—
404C23×C3—51no—
405C23×C3—51no—
406C23×C3—51no—
407C23×C3—52no—
408C23×C3—52no—
409C23×C3—51no—
410C23×C3—101no—
411C23×C3—102no—
412C23×C3—101no—
413C23×C3—101no—
414C23×C3—102no—
415C23×C3—102no—
416C23×C3—102no—
417C23×C3—102no—
418C23×C3—101no—
419C23×C3—102no—
420C23×C3—102no—
421C23×C3—102no—
422C23×C3—201no—
423C23×C3—201no—
424C23×C3—201no—
425C23×C3—201no—
426C23×C3—201no—
427C23×C3—201no—
428C23×C3—201no—
429C23×C3—208no—
430C23×C3—208no—
431C23×C3C22⋊AGL(1,𝔽5)11yescharacteristic
432C23×C3C22⋊AGL(1,𝔽5)11yescharacteristic
433C23×C3C22×AGL(1,𝔽5)11yescharacteristic
434C3×D4—42no—
435C3×D4—42no—
436C3×D4—201no—
437C3×D4—202no—
438C3×D4—201no—
439C3×D4—202no—
440C3×D4—202no—
441C2×C3×C4—21no—
442C2×C3×C4—41no—
443C2×C3×C4—102no—
444C2×C3×C4—101no—
445C2×C3×C4—101no—
446C2×C3×C4—201no—
447C2×Dic3—104no—
448C2×Dic3—208no—
449C2×Dic3—202no—
450C2×Dic3—202no—
451C2×Dic3—202no—
452C2×Dic3—202no—
453C2×Dic3—202no—
454C22×C5—21no—
455C22×C5—21no—
456C22×C5—21no—
457C22×C5—21no—
458C22×C5—21no—
459C22×C5—21no—
460C22×C5—21no—
461C22×C5—44no—
462C22×C5—41no—
463C22×C5—41no—
464C22×C5—41no—
465C22×C5—82no—
466C22×C5#83412yescomplemented
467C22×C5D4×Dic312yes—
468C22×C5C2×#21711yescharacteristic
469C2×D5—24no—
470C2×D5—24no—
471C2×D5—21no—
472C2×D5—21no—
473C2×D5—21no—
474C2×D5—21no—
475C2×D5—21no—
476C2×D5—21no—
477C2×D5—21no—
478C2×D5—21no—
479C2×D5—21no—
480C2×D5—42no—
481C2×D5—42no—
482C2×D5—44no—
483C2×D5—44no—
484C2×D5—44no—
485C2×D5—42no—
486C2×D5—42no—
487C2×D5#83412yescomplemented
488C2×D5#93511yescharacteristic
489C2×D5#93711yescharacteristic
490C2×D5#93912yes—
491AGL(1,𝔽5)—124no—
492AGL(1,𝔽5)—242no—
493C4×C5—41no—
494Dic5—41no—
495Dic5—41no—
496C24—51no—
497C24—51no—
498C24—51no—
499C24—51no—
500C24—51no—
501C24—51no—
502C24—102no—
503C24—102no—
504C24—202no—
505C24—202no—
506C24C2×ΓL(1,𝔽16)11yescharacteristic
507C24C2×ΓL(1,𝔽16)11yescharacteristic, complemented
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—42no—
511C2×D4—102no—
512C2×D4—101no—
513C2×D4—101no—
514C2×D4—101no—
515C2×D4—101no—
516C2×D4—102no—
517C2×D4—202no—
518C22×C4—51no—
519C22×C4—51no—
520C22×C4—302no—
521C22×C4—304no—
522C22×C4—302no—
523C22×C4—602no—
524C22×C4—602no—
525C22×C4C2×ΓL(1,𝔽16)11yescharacteristic, complemented
526C22⋊C4—101no—
527C22⋊C4—101no—
528C22⋊C4—101no—
529C22⋊C4—101no—
530C22⋊C4—101no—
531C22⋊C4—101no—
532C22⋊C4—154no—
533C22⋊C4—302no—
534C22⋊C4—304no—
535C22⋊C4—302no—
536C22⋊C4—302no—
537C22⋊C4—602no—
538C22⋊C4—602no—
539C3×C5#189811yescharacteristic, complemented, Hall
540C22×C3—21no—
541C22×C3—21no—
542C22×C3—21no—
543C22×C3—21no—
544C22×C3—21no—
545C22×C3—21no—
546C22×C3—21no—
547C22×C3—44no—
548C22×C3—41no—
549C22×C3—41no—
550C22×C3—41no—
551C22×C3—52no—
552C22×C3—51no—
553C22×C3—52no—
554C22×C3—51no—
555C22×C3—82no—
556C22×C3—104no—
557C22×C3—104no—
558C22×C3—101no—
559C22×C3—101no—
560C22×C3—101no—
561C22×C3—101no—
562C22×C3—101no—
563C22×C3—101no—
564C22×C3—101no—
565C22×C3—101no—
566C22×C3—101no—
567C22×C3—202no—
568C22×C3—202no—
569C22×C3—204no—
570C22×C3—204no—
571C22×C3—204no—
572C22×C3—202no—
573C22×C3—202no—
574C22×C3#401112yescomplemented
575C22×C3D4×AGL(1,𝔽5)12yes—
576C22×C3C2×C22⋊AGL(1,𝔽5)11yescharacteristic
577C3×C4—41no—
578C3×C4—201no—
579C3×C4—201no—
580Dic3—204no—
581Dic3—402no—
582C2×C5—22no—
583C2×C5—22no—
584C2×C5—41no—
585C2×C5—81no—
586C2×C5C2×#83411yescharacteristic
587C2×C5C2×#83411yescharacteristic
588C2×C5#522011yescharacteristic
589D5—21no—
590D5—22no—
591D5—22no—
592D5—21no—
593D5—41no—
594C23—22no—
595C23—22no—
596C23—21no—
597C23—22no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—51no—
602C23—51no—
603C23—51no—
604C23—52no—
605C23—52no—
606C23—51no—
607C23—101no—
608C23—102no—
609C23—101no—
610C23—101no—
611C23—102no—
612C23—102no—
613C23—102no—
614C23—102no—
615C23—101no—
616C23—102no—
617C23—102no—
618C23—102no—
619C23—201no—
620C23—201no—
621C23—201no—
622C23—201no—
623C23—201no—
624C23—201no—
625C23—201no—
626C23—208no—
627C23—208no—
628C23#676311yescharacteristic
629C23#676311yescharacteristic
630C23C22×ΓL(1,𝔽16)11yescharacteristic
631D4—42no—
632D4—42no—
633D4—201no—
634D4—202no—
635D4—201no—
636D4—202no—
637D4—202no—
638C2×C4—21no—
639C2×C4—41no—
640C2×C4—102no—
641C2×C4—101no—
642C2×C4—101no—
643C2×C4—201no—
644C2×C4—304no—
645C2×C4—608no—
646C2×C4—602no—
647C2×C4—602no—
648C2×C4—602no—
649C2×C4—602no—
650C2×C4—602no—
651C2×C3—22no—
652C2×C3—22no—
653C2×C3—41no—
654C2×C3—81no—
655C2×C3—101no—
656C2×C3—102no—
657C2×C3—102no—
658C2×C3—101no—
659C2×C3—201no—
660C2×C3D5⋊#9911yescharacteristic
661C2×C3#6577911yescharacteristic
662C2×C3C2×#401111yescharacteristic
663C5#7167011yescharacteristic, complemented, Sylow
664C22—21no—
665C22—21no—
666C22—21no—
667C22—21no—
668C22—21no—
669C22—21no—
670C22—21no—
671C22—44no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—52no—
676C22—51no—
677C22—52no—
678C22—51no—
679C22—82no—
680C22—104no—
681C22—104no—
682C22—101no—
683C22—101no—
684C22—101no—
685C22—101no—
686C22—101no—
687C22—101no—
688C22—101no—
689C22—101no—
690C22—101no—
691C22—202no—
692C22—202no—
693C22—204no—
694C22—204no—
695C22—204no—
696C22—202no—
697C22—202no—
698C22#9124012yescomplemented
699C22D4×ΓL(1,𝔽16)12yes—
700C22C2×#676311yescharacteristic
701C4—41no—
702C4—201no—
703C4—201no—
704C4—604no—
705C4—1202no—
706C3#1060494311yescharacteristic, complemented, Sylow
707C2—22no—
708C2—22no—
709C2—41no—
710C2—81no—
711C2—101no—
712C2—102no—
713C2—102no—
714C2—101no—
715C2—201no—
716C2D5⋊#83411yescharacteristic
717C2#1175243811yescharacteristic
718C2C2×#9124011yescharacteristic
subgroupG/H
centerC22C2×#6763
commutatorC23×C3×C5C22×C4
FrattiniC23C22×ΓL(1,𝔽16)
FittingC22×C3×C5×D4C4
socleC22×C3×C5C2×C22⋊C4
prime radicalC2×C3×#4083C2
cosocleC23×C3×D5C23
hypercenterC22×D4ΓL(1,𝔽16)
hypocenterC3×C5#1898
LCSG ▷ C23×C3×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C24 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
1. C22×#6763C2semidirect
3. #11752459C2semidirect
4. C2×#91240C2semidirect
5. #11746788C2semidirect
9. C22×C3×C5×D4C4semidirect
10. C22×C3×C22⋊D5C4semidirect
18. C2×C3×C22⋊Dic5C4semidirect
23. C2×C3×#685C4semidirect
33. C24×C3×C5C2×C4semidirect
52. C22×C3×C4×C5C2×C4semidirect
60. C22×C3×Dic5C2×C4semidirect
61. C22×C3×Dic5C2×C4semidirect
68. #6763D4semidirect
82. C22×C5×D4Dic3semidirect
83. C22×C22⋊D5Dic3semidirect
91. C2×C22⋊Dic5Dic3semidirect
96. C2×#685Dic3semidirect
160. C22×C3×D4AGL(1,𝔽5)semidirect
177. C24×C5C2×Dic3semidirect
196. C22×C4×C5C2×Dic3semidirect
204. C22×Dic5C2×Dic3semidirect
205. C22×Dic5C2×Dic3semidirect
236. C22×C3×C5#99semidirect
257. C2×C3×D5#99semidirect
277. C24×C3C2×AGL(1,𝔽5)semidirect
290. C22×C3×C4C2×AGL(1,𝔽5)semidirect
369. C22×D4ΓL(1,𝔽16)semidirect
466. C22×C5#834semidirect
487. C2×D5#834semidirect
507. C24C2×ΓL(1,𝔽16)semidirect
525. C22×C4C2×ΓL(1,𝔽16)semidirect
539. C3×C5#1898semidirect
574. C22×C3#4011semidirect
663. C5#71670semidirect
698. C22#91240semidirect
706. C3#10604943semidirect

Maximal subgroups

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

subgroupindex
C22×#67632
C2×C3×#40832
#117524592
C2×#912402
#117467882
#106049433
#716705