Finite Group Databasebeta

← #14302048

Subgroups — #14302048

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×#4028C211yesmaximal, characteristic
3#11752459C211yesmaximal, characteristic, complemented
4C2×#91228C212yesmaximal, complemented
5#11746788C212yesmaximal, complemented
6#10604220—31nomaximal, Hall
7C24×C3×D5C2211yescharacteristic
8C23×ΓL(1,𝔽16)—21no—
9C22×C3×C22⋊D5C411yescharacteristic, complemented
10C22×C3×D20C411yescharacteristic, complemented
11C22×C3×D20C2211yescharacteristic
12C2×#6763—21no—
13C2×#6763—24no—
14C2×#6763—21no—
15C2×#6763—21no—
16C2×#6763C2212yes—
17C2×#6763C2212yes—
18C2×C3×C5×C22⋊C4C411yescharacteristic, complemented
19C2×C3×#685C411yescharacteristic, complemented
20C2×C3×#685C2211yescharacteristic
21C3×#4028—21no—
22C3×#4028—21no—
23C3×#4028—21no—
24C3×#4028—21no—
25#91228—24no—
26#71670—51nomaximal, Hall
27C22×C22⋊AGL(1,𝔽5)—31no—
28C2×#4028D311yescharacteristic
29#65800—31no—
30C2×#3999—32no—
31#64917—32no—
32C24×C3×C5C2×C411yescharacteristic
33C23×C3×D5—22no—
34C23×C3×D5—22no—
35C23×C3×D5—42no—
36C23×C3×D5—42no—
37C23×C3×D5C2×C411yescharacteristic
38C23×C3×D5C2×C411yescharacteristic, complemented
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—
49C22×C3×C4×C5C2×C411yescharacteristic, complemented
50C22×C3×C4×C5C2×C411yescharacteristic, complemented
51C2×C3×C22⋊D5—21no—
52C2×C3×C22⋊D5—21no—
53C2×C3×C22⋊D5—42no—
54C22×C3×Dic5C2×C411yescharacteristic, complemented
55C2×C3×D20—21no—
56C2×C3×D20—21no—
57C2×C3×D20—22no—
58C2×C3×D20—21no—
59C2×C3×D20—21no—
60C2×C3×D20—22no—
61C2×C3×D20—42no—
62#6763—24no—
63#6763—22no—
64#6763—22no—
65#6763—22no—
66#6763—42no—
67#6763—42no—
68#6763D414yescomplemented
69C3×C5×C22⋊C4—21no—
70C3×C5×C22⋊C4—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×C22⋊D5Dic311yescharacteristic, complemented
83C22×D20Dic311yescharacteristic, complemented
84C22×D20C2×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×C5×C22⋊C4Dic311yescharacteristic, complemented
92C2×#685Dic311yescharacteristic, complemented
93C2×#685C2×D311yescharacteristic
94#4028—21no—
95#4028—21no—
96#4028—21no—
97#4028—21no—
98#3999—64no—
99#1898—151noSylow
100C23×C3×C5—22no—
101C23×C3×C5—22no—
102C23×C3×C5—41no—
103C23×C3×C5C22⋊C411yescharacteristic
104C23×C3×C5C22⋊C411yescharacteristic
105C23×C3×C5C22×C411yescharacteristic
106C22×C3×D5—22no—
107C22×C3×D5—22no—
108C22×C3×D5—21no—
109C22×C3×D5—21no—
110C22×C3×D5—22no—
111C22×C3×D5—22no—
112C22×C3×D5—22no—
113C22×C3×D5—22no—
114C22×C3×D5—21no—
115C22×C3×D5—22no—
116C22×C3×D5—22no—
117C22×C3×D5—21no—
118C22×C3×D5—21no—
119C22×C3×D5—22no—
120C22×C3×D5—41no—
121C22×C3×D5—41no—
122C22×C3×D5—41no—
123C22×C3×D5—41no—
124C22×C3×D5—41no—
125C22×C3×D5—41no—
126C22×C3×D5—41no—
127C22×C3×D5—48no—
128C22×C3×D5—48no—
129C22×C3×D5—41no—
130C22×C3×D5—41no—
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—
144C2×C3×C4×C5—21no—
145C2×C3×C4×C5—21no—
146C2×C3×C4×C5—22no—
147C2×C3×C4×C5—41no—
148C3×C22⋊D5—42no—
149C3×C22⋊D5—42no—
150C2×C3×Dic5—21no—
151C2×C3×Dic5—41no—
152C3×D20—42no—
153C3×D20—42no—
154C3×D20—41no—
155C3×D20—42no—
156C3×D20—41no—
157C25×C3—51no—
158C22×C3×D4—51no—
159C22×C3×D4—51no—
160C22×C3×D4—51no—
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⋊C4AGL(1,𝔽5)11yescharacteristic, complemented
169C2×#217—52no—
170C2×#217—52no—
171C2×#217—104no—
172C2×#217—101no—
173C2×#217—101no—
174C2×#217—101no—
175#834—104no—
176C24×C5C2×Dic311yescharacteristic
177C23×D5—22no—
178C23×D5—22no—
179C23×D5—42no—
180C23×D5—42no—
181C23×D5C2×Dic311yescharacteristic
182C23×D5C2×Dic311yescharacteristic, complemented
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—
193C22×C4×C5C2×Dic311yescharacteristic, complemented
194C22×C4×C5C2×Dic311yescharacteristic, complemented
195C2×C22⋊D5—21no—
196C2×C22⋊D5—21no—
197C2×C22⋊D5—42no—
198C22×Dic5C2×Dic311yescharacteristic, complemented
199C2×D20—21no—
200C2×D20—21no—
201C2×D20—22no—
202C2×D20—22no—
203C2×D20—21no—
204C2×D20—21no—
205C2×D20—42no—
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—
213C5×C22⋊C4—21no—
214C5×C22⋊C4—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#9912yescomplemented
233C22×C3×C5C2×C22⋊C411yescharacteristic
234C22×C3×C5C4×D412yes—
235C2×C3×D5—24no—
236C2×C3×D5—24no—
237C2×C3×D5—21no—
238C2×C3×D5—21no—
239C2×C3×D5—21no—
240C2×C3×D5—21no—
241C2×C3×D5—21no—
242C2×C3×D5—21no—
243C2×C3×D5—21no—
244C2×C3×D5—21no—
245C2×C3×D5—21no—
246C2×C3×D5—42no—
247C2×C3×D5—42no—
248C2×C3×D5—44no—
249C2×C3×D5—44no—
250C2×C3×D5—44no—
251C2×C3×D5—42no—
252C2×C3×D5—42no—
253C2×C3×D5—41no—
254C2×C3×D5—41no—
255C2×C3×D5—41no—
256C2×C3×D5—82no—
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×C4×C5—41no—
265C3×Dic5—41no—
266C24×C3—51no—
267C24×C3—51no—
268C24×C3—51no—
269C24×C3—51no—
270C24×C3—51no—
271C24×C3—51no—
272C24×C3—51no—
273C24×C3—102no—
274C24×C3—102no—
275C24×C3—202no—
276C24×C3—202no—
277C24×C3C2×AGL(1,𝔽5)11yescharacteristic
278C2×C3×D4—102no—
279C2×C3×D4—101no—
280C2×C3×D4—101no—
281C2×C3×D4—101no—
282C2×C3×D4—101no—
283C2×C3×D4—102no—
284C2×C3×D4—101no—
285C2×C3×D4—101no—
286C2×C3×D4—202no—
287C2×C3×D4—202no—
288C22×C3×C4—51no—
289C22×C3×C4C2×AGL(1,𝔽5)11yescharacteristic, complemented
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—21no—
297C3×C22⋊C4—21no—
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—41no—
312C23×C5#21711yescharacteristic
313C23×C5#21711yescharacteristic
314C23×C5C22×Dic311yescharacteristic
315C22×D5—22no—
316C22×D5—22no—
317C22×D5—21no—
318C22×D5—21no—
319C22×D5—22no—
320C22×D5—22no—
321C22×D5—22no—
322C22×D5—22no—
323C22×D5—21no—
324C22×D5—21no—
325C22×D5—22no—
326C22×D5—22no—
327C22×D5—21no—
328C22×D5—22no—
329C22×D5—41no—
330C22×D5—41no—
331C22×D5—41no—
332C22×D5—41no—
333C22×D5—41no—
334C22×D5—41no—
335C22×D5—41no—
336C22×D5—48no—
337C22×D5—48no—
338C22×D5—41no—
339C22×D5—41no—
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—
353C2×C4×C5—22no—
354C2×C4×C5—21no—
355C2×C4×C5—21no—
356C2×C4×C5—41no—
357C22⋊D5—42no—
358C22⋊D5—42no—
359C2×Dic5—21no—
360C2×Dic5—41no—
361D20—42no—
362D20—42no—
363D20—41no—
364D20—41no—
365D20—42no—
366C25—51no—
367C22×D4—51no—
368C22×D4—51no—
369C22×D4—51no—
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—152no—
378C2×C22⋊C4—152no—
379C2×C22⋊C4—304no—
380C2×C22⋊C4—301no—
381C2×C22⋊C4—301no—
382C2×C22⋊C4—301no—
383C2×C22⋊C4ΓL(1,𝔽16)11yescharacteristic, complemented
384#99—304no—
385C2×C3×C5—22no—
386C2×C3×C5—22no—
387C2×C3×C5—41no—
388C2×C3×C5#38611yescharacteristic
389C2×C3×C5C2×#9911yescharacteristic
390C2×C3×C5C2×#9911yescharacteristic
391C3×D5—21no—
392C3×D5—22no—
393C3×D5—22no—
394C3×D5—21no—
395C3×D5—41no—
396C3×D5—81no—
397C23×C3—22no—
398C23×C3—22no—
399C23×C3—41no—
400C23×C3—51no—
401C23×C3—51no—
402C23×C3—51no—
403C23×C3—52no—
404C23×C3—52no—
405C23×C3—51no—
406C23×C3—101no—
407C23×C3—102no—
408C23×C3—101no—
409C23×C3—101no—
410C23×C3—102no—
411C23×C3—102no—
412C23×C3—102no—
413C23×C3—102no—
414C23×C3—101no—
415C23×C3—102no—
416C23×C3—102no—
417C23×C3—102no—
418C23×C3—101no—
419C23×C3—102no—
420C23×C3—201no—
421C23×C3—201no—
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—201no—
435C3×D4—202no—
436C3×D4—201no—
437C3×D4—202no—
438C3×D4—202no—
439C3×D4—202no—
440C3×D4—202no—
441C2×C3×C4—22no—
442C2×C3×C4—21no—
443C2×C3×C4—21no—
444C2×C3×C4—41no—
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#83412yescomplemented
463C22×C5D4×Dic312yes—
464C22×C5C2×#21711yescharacteristic
465C2×D5—24no—
466C2×D5—24no—
467C2×D5—21no—
468C2×D5—21no—
469C2×D5—21no—
470C2×D5—21no—
471C2×D5—21no—
472C2×D5—21no—
473C2×D5—21no—
474C2×D5—21no—
475C2×D5—21no—
476C2×D5—42no—
477C2×D5—42no—
478C2×D5—44no—
479C2×D5—44no—
480C2×D5—44no—
481C2×D5—42no—
482C2×D5—42no—
483C2×D5—41no—
484C2×D5—41no—
485C2×D5—41no—
486C2×D5—82no—
487C2×D5#83412yescomplemented
488C2×D5#93511yescharacteristic
489C2×D5#93711yescharacteristic
490C2×D5#93912yes—
491AGL(1,𝔽5)—124no—
492AGL(1,𝔽5)—242no—
493C4×C5—41no—
494C4×C5—41no—
495Dic5—41no—
496C24—51no—
497C24—51no—
498C24—51no—
499C24—51no—
500C24—51no—
501C24—51no—
502C24—51no—
503C24—102no—
504C24—102no—
505C24—202no—
506C24—202no—
507C24C2×ΓL(1,𝔽16)11yescharacteristic
508C2×D4—102no—
509C2×D4—101no—
510C2×D4—101no—
511C2×D4—101no—
512C2×D4—101no—
513C2×D4—102no—
514C2×D4—101no—
515C2×D4—101no—
516C2×D4—202no—
517C2×D4—202no—
518C22×C4—51no—
519C22×C4—302no—
520C22×C4—304no—
521C22×C4—302no—
522C22×C4—602no—
523C22×C4—602no—
524C22×C4C2×ΓL(1,𝔽16)11yescharacteristic, complemented
525C22×C4C2×ΓL(1,𝔽16)11yescharacteristic, complemented
526C22⋊C4—21no—
527C22⋊C4—21no—
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—52no—
549C22×C3—51no—
550C22×C3—52no—
551C22×C3—51no—
552C22×C3—104no—
553C22×C3—104no—
554C22×C3—101no—
555C22×C3—101no—
556C22×C3—101no—
557C22×C3—101no—
558C22×C3—101no—
559C22×C3—101no—
560C22×C3—101no—
561C22×C3—101no—
562C22×C3—101no—
563C22×C3—202no—
564C22×C3—202no—
565C22×C3—204no—
566C22×C3—204no—
567C22×C3—204no—
568C22×C3—202no—
569C22×C3—202no—
570C22×C3—201no—
571C22×C3—201no—
572C22×C3—201no—
573C22×C3—402no—
574C22×C3#399912yescomplemented
575C22×C3D4×AGL(1,𝔽5)12yes—
576C22×C3C2×C22⋊AGL(1,𝔽5)11yescharacteristic
577C3×C4—41no—
578C3×C4—41no—
579C3×C4—201no—
580Dic3—204no—
581Dic3—402no—
582C2×C5—22no—
583C2×C5—22no—
584C2×C5—41no—
585C2×C5C2×#83411yescharacteristic
586C2×C5C2×#83411yescharacteristic
587C2×C5#522011yescharacteristic
588D5—21no—
589D5—22no—
590D5—22no—
591D5—21no—
592D5—41no—
593D5—81no—
594C23—22no—
595C23—22no—
596C23—41no—
597C23—51no—
598C23—51no—
599C23—51no—
600C23—52no—
601C23—52no—
602C23—51no—
603C23—101no—
604C23—102no—
605C23—101no—
606C23—101no—
607C23—102no—
608C23—102no—
609C23—102no—
610C23—102no—
611C23—101no—
612C23—102no—
613C23—102no—
614C23—102no—
615C23—101no—
616C23—102no—
617C23—201no—
618C23—201no—
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—201no—
632D4—202no—
633D4—201no—
634D4—202no—
635D4—202no—
636D4—202no—
637D4—202no—
638C2×C4—22no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—41no—
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—101no—
655C2×C3—102no—
656C2×C3—102no—
657C2×C3—101no—
658C2×C3—201no—
659C2×C3—401no—
660C2×C3C2×#399911yescharacteristic
661C2×C3D5⋊#9911yescharacteristic
662C2×C3#6577911yescharacteristic
663C5#7167011yescharacteristic, complemented, Sylow
664C22—21no—
665C22—21no—
666C22—21no—
667C22—21no—
668C22—21no—
669C22—21no—
670C22—21no—
671C22—44no—
672C22—52no—
673C22—51no—
674C22—52no—
675C22—51no—
676C22—104no—
677C22—104no—
678C22—101no—
679C22—101no—
680C22—101no—
681C22—101no—
682C22—101no—
683C22—101no—
684C22—101no—
685C22—101no—
686C22—101no—
687C22—202no—
688C22—202no—
689C22—204no—
690C22—204no—
691C22—204no—
692C22—202no—
693C22—202no—
694C22—201no—
695C22—201no—
696C22—201no—
697C22—402no—
698C22#9122812yescomplemented
699C22D4×ΓL(1,𝔽16)12yes—
700C22C2×#676311yescharacteristic
701C4—41no—
702C4—41no—
703C4—201no—
704C4—604no—
705C4—1202no—
706C3#1060422011yescharacteristic, complemented, Sylow
707C2—22no—
708C2—22no—
709C2—41no—
710C2—101no—
711C2—102no—
712C2—102no—
713C2—101no—
714C2—201no—
715C2—401no—
716C2C2×#9122811yescharacteristic
717C2D5⋊#83411yescharacteristic
718C2#1175243811yescharacteristic
subgroupG/H
centerC22C2×#6763
commutatorC23×C3×C5C22×C4
FrattiniC23C22×ΓL(1,𝔽16)
FittingC2×C3×C5×C22⋊C4C4
socleC22×C3×C5C2×C22⋊C4
prime radicalC2×C3×#4028C2
cosocleC23×C3×D5C23
hypercenterC2×C22⋊C4ΓL(1,𝔽16)
hypocenterC3×C5#1898
LCSG ▷ C23×C3×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C24 ◁ C2×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C22×#6763C2semidirect
3. #11752459C2semidirect
4. C2×#91228C2semidirect
5. #11746788C2semidirect
9. C22×C3×C22⋊D5C4semidirect
10. C22×C3×D20C4semidirect
18. C2×C3×C5×C22⋊C4C4semidirect
19. C2×C3×#685C4semidirect
38. C23×C3×D5C2×C4semidirect
49. C22×C3×C4×C5C2×C4semidirect
50. C22×C3×C4×C5C2×C4semidirect
54. C22×C3×Dic5C2×C4semidirect
68. #6763D4semidirect
82. C22×C22⋊D5Dic3semidirect
83. C22×D20Dic3semidirect
91. C2×C5×C22⋊C4Dic3semidirect
92. C2×#685Dic3semidirect
168. C2×C3×C22⋊C4AGL(1,𝔽5)semidirect
182. C23×D5C2×Dic3semidirect
193. C22×C4×C5C2×Dic3semidirect
194. C22×C4×C5C2×Dic3semidirect
198. C22×Dic5C2×Dic3semidirect
232. C22×C3×C5#99semidirect
257. C2×C3×D5#99semidirect
289. C22×C3×C4C2×AGL(1,𝔽5)semidirect
290. C22×C3×C4C2×AGL(1,𝔽5)semidirect
383. C2×C22⋊C4ΓL(1,𝔽16)semidirect
462. C22×C5#834semidirect
487. C2×D5#834semidirect
524. C22×C4C2×ΓL(1,𝔽16)semidirect
525. C22×C4C2×ΓL(1,𝔽16)semidirect
539. C3×C5#1898semidirect
574. C22×C3#3999semidirect
663. C5#71670semidirect
698. C22#91228semidirect
706. C3#10604220semidirect

Maximal subgroups

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

subgroupindex
C22×#67632
C2×C3×#40282
#117524592
C2×#912282
#117467882
#106042203
#716705