Finite Group Databasebeta

← #72230253

Subgroups — #72230253

Order 2880.

1348 conjugacy classes of subgroups.

The subgroup lattice has 632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D5×#3798C211yesmaximal, characteristic
2#13088724C211yesmaximal, characteristic, complemented
3C4×D3×ΓL(1,𝔽16)C212yesmaximal, complemented
4C4×C3⋊D3×AGL(1,𝔽5)C211yesmaximal, characteristic, complemented
5C3×#91909C212yesmaximal, complemented
6#13088420C212yesmaximal, complemented
7#13088417C214yesmaximal, complemented
8#13088416C212yesmaximal, complemented
9#11756835—32nomaximal
10C2×D3×ΓL(1,𝔽16)C2214yes—
11C2×C3⋊D3×AGL(1,𝔽5)C2212yes—
12#10624223C411yescharacteristic, complemented
13#10624199C412yescomplemented
14C5×#3798C411yescharacteristic, complemented
15C4×D5×C3⋊D3C2211yescharacteristic
16C3×C4×D3×D5C2212yes—
17C4×C3⋊ΓL(1,𝔽16)C2211yescharacteristic
18C3×C4×ΓL(1,𝔽16)C2212yes—
19C32×C4×AGL(1,𝔽5)C2211yescharacteristic
20#10624052C411yescharacteristic, complemented
21#10624049C412yescomplemented
22#10624048C411yescharacteristic, complemented
23D5×#627C2211yescharacteristic
24D5×#626C2212yes—
25D5×#625C2211yescharacteristic
26#10623979C2212yes—
27#10623978C2212yes—
28Dic3×ΓL(1,𝔽16)C2214yes—
29AGL(1,𝔽5)×C3⋊Dic3C2212yes—
30C3×Dic3⋊AGL(1,𝔽5)C2214yes—
31C3×(C2×D3)⋊AGL(1,𝔽5)C2214yes—
32#10593966—51nomaximal, Hall
33D5×#235—32no—
34C2×C4×ΓL(1,𝔽16)—32no—
35C3×#4130—32no—
36#67⋊AGL(1,𝔽5)—34no—
37#67⋊AGL(1,𝔽5)—34no—
38#91921—34no—
39C4×D3×AGL(1,𝔽5)—32no—
40C4×D3×AGL(1,𝔽5)—32no—
41C4×D3×AGL(1,𝔽5)—61no—
42#91909—32no—
43#91909D312yescomplemented
44ΓL(1,𝔽16)⋊Q8—34no—
45C2×D5×C3⋊D3C2311yescharacteristic
46C2×C3×D3×D5C2312yes—
47C2×C3⋊ΓL(1,𝔽16)C2312yes—
48C2×C3×ΓL(1,𝔽16)C2314yes—
49C2×C32×AGL(1,𝔽5)C2312yes—
50D3×ΓL(1,𝔽16)—28no—
51C3⋊D3×AGL(1,𝔽5)—24no—
52C4×C3⋊D15C2×C411yescharacteristic, complemented
53C4×C5×C3⋊D3C2×C411yescharacteristic, complemented
54C3×C4×D15C2×C412yescomplemented
55C3×C4×C5×D3C2×C412yescomplemented
56C32×C4×D5C2311yescharacteristic
57#67158C2×C411yescharacteristic, complemented
58#67157C2×C411yescharacteristic, complemented
59#67156C2×C412yescomplemented
60#67153C2×C412yescomplemented
61#67152C2×C412yescomplemented
62#67151C2×C412yescomplemented
63#67150C2×C412yescomplemented
64C5×#627C2×C411yescharacteristic, complemented
65C5×#626C2×C412yescomplemented
66C5×#625C2×C411yescharacteristic, complemented
67#67137C2×C411yescharacteristic, complemented
68C3⋊D3×Dic5C2×C411yescharacteristic, complemented
69D5×C3⋊Dic3C2311yescharacteristic
70C3×#1200C2×C412yescomplemented
71C3×D3×Dic5C2×C412yescomplemented
72C3×D5×Dic3C2312yes—
73#41×AGL(1,𝔽5)—91noHall
74C2×#3798—51no—
75C42×C3⋊D3—51no—
76C3×#872—52no—
77#63902—52no—
78#63881—54no—
79C4×D3×Dic3—52no—
80#63874—51no—
81#63838—52no—
82C22×ΓL(1,𝔽16)—34no—
83C2×D3×AGL(1,𝔽5)—34no—
84C2×D3×AGL(1,𝔽5)—34no—
85C2×D3×AGL(1,𝔽5)—62no—
86#6817—32no—
87C5×#235—32no—
88C2×C3×C4×D5—32no—
89D5×#67—32no—
90D5×#67—32no—
91#6782—32no—
92#6782—32no—
93D5×D12—32no—
94C4×D3×D5—32no—
95C4×D3×D5—61no—
96C4×D3×D5C2×D312yes—
97#6773—32no—
98#6772—32no—
99#6771—32no—
100#6771—32no—
101D5×Dic6—32no—
102C4×ΓL(1,𝔽16)—34no—
103C4×ΓL(1,𝔽16)—32no—
104C4×ΓL(1,𝔽16)—61no—
105C4×ΓL(1,𝔽16)C2×D312yes—
106C3×C22⋊AGL(1,𝔽5)—34no—
107C3×C4⋊AGL(1,𝔽5)—34no—
108C3×C4×AGL(1,𝔽5)—21no—
109C3×C4×AGL(1,𝔽5)—32no—
110C3×C4×AGL(1,𝔽5)C2×D312yes—
111Dic3⋊AGL(1,𝔽5)—34no—
112Dic3⋊AGL(1,𝔽5)C2×D314yes—
113(C2×D3)⋊AGL(1,𝔽5)—34no—
114(C2×D3)⋊AGL(1,𝔽5)C2×D314yes—
115Dic3×AGL(1,𝔽5)—34no—
116Dic3×AGL(1,𝔽5)—34no—
117Dic3×AGL(1,𝔽5)—62no—
118#5522—152no—
119C2×C3⋊D15C22×C411yescharacteristic
120C2×C5×C3⋊D3C22×C411yescharacteristic
121C2×C3×D15C22×C412yes—
122C2×C3×C5×D3C22×C412yes—
123C2×C32×D5C2411yescharacteristic
124D5×C3⋊D3—22no—
125C3×D3×D5—24no—
126C3⋊ΓL(1,𝔽16)#4114yescomplemented
127C3×ΓL(1,𝔽16)—24no—
128C32×AGL(1,𝔽5)—22no—
129C32×C4×C5C22×C411yescharacteristic
130C3⋊Dic15C22×C411yescharacteristic
131C5×C3⋊Dic3C22×C411yescharacteristic
132C3×Dic15C22×C412yes—
133C3×C5×Dic3C22×C412yes—
134C32×Dic5C22×C411yescharacteristic
135D5×#41—91no—
136Q8×AGL(1,𝔽5)—92no—
137D4×AGL(1,𝔽5)—94no—
138D4×AGL(1,𝔽5)—92no—
139#4130—32no—
140#4130—91no—
141C2×C4×AGL(1,𝔽5)—92no—
142C2×C4×AGL(1,𝔽5)—91no—
143C2×C4×C3⋊D3—51no—
144C2×C4×C3⋊D3—52no—
145C2×C3×C4×D3—52no—
146C2×#627—51no—
147C2×#626—52no—
148C2×#625—51no—
149C2×D3×Dic3—54no—
150#3798—51no—
151#3798—52no—
152#3798—51no—
153#3798—52no—
154#3798—51no—
155#3798AGL(1,𝔽5)11yescharacteristic, complemented
156C32×C42—51no—
157C4×C3⋊Dic3—51no—
158C4×C3⋊Dic3—52no—
159C3×(C2×D3)⋊C4—54no—
160C3×Dic3⋊C4—54no—
161C3×C4×Dic3—52no—
162#3724—52no—
163#3722—52no—
164Dic32—54no—
165C22×C3×D5—32no—
166C2×D3×D5—32no—
167C2×D3×D5—61no—
168C2×D3×D5C22×D312yes—
169C2×ΓL(1,𝔽16)—34no—
170C2×ΓL(1,𝔽16)—68no—
171C2×ΓL(1,𝔽16)—62no—
172C2×ΓL(1,𝔽16)C22×D314yes—
173C2×C3×AGL(1,𝔽5)—22no—
174C2×C3×AGL(1,𝔽5)—34no—
175C2×C3×AGL(1,𝔽5)C22×D314yes—
176D3×AGL(1,𝔽5)—68no—
177D3×AGL(1,𝔽5)—64no—
178D3×AGL(1,𝔽5)—64no—
179D3×AGL(1,𝔽5)—68no—
180C2×C3×C4×C5—32no—
181#1220—32no—
182#1220—32no—
183D60—32no—
184C4×D15—32no—
185C4×D15—61no—
186C4×D15C4×D312yescomplemented
187Dic30—32no—
188C5×#67—32no—
189C5×#67—32no—
190C5×D12—32no—
191C4×C5×D3—32no—
192C4×C5×D3—61no—
193C4×C5×D3C4×D312yescomplemented
194C5×Dic6—32no—
195C2×C3×Dic5—32no—
196C3×C4×D5—21no—
197C3×C4×D5—32no—
198C3×C4×D5—32no—
199C3×C4×D5—32no—
200C3×C4×D5C22×D312yes—
201#1204—32no—
202#1204—32no—
203#1203—32no—
204#1203—32no—
205#1202—32no—
206#1202—32no—
207#1201—32no—
208#1201—32no—
209#1200—32no—
210#1200—61no—
211#1200C4×D312yescomplemented
212D3×Dic5—32no—
213D3×Dic5—61no—
214D3×Dic5C4×D312yescomplemented
215D5×Dic3—32no—
216D5×Dic3—61no—
217D5×Dic3C22×D312yes—
218C2×#235—152no—
219C3×#117—152no—
220C2×C4×Dic3—152no—
221#893—154no—
222#887—154no—
223#67⋊C4—154no—
224#67⋊C4—154no—
225#872—52no—
226#872—152no—
227C42×D3—152no—
228C42×D3—152no—
229C42×D3—301no—
230C2×C32×C5C23×C411yescharacteristic
231C3⋊D15—21no—
232C5×C3⋊D3—21no—
233C3×D15—22no—
234C3×C5×D3—22no—
235C32×D5C2×#4112yes—
236C22×AGL(1,𝔽5)—94no—
237C22×AGL(1,𝔽5)—92no—
238C5×#41—91no—
239#713—91no—
240Q8×D5—91no—
241#711—92no—
242#711—91no—
243D4×D5—92no—
244D4×D5—91no—
245#709—91no—
246#709—92no—
247C2×C4×D5—32no—
248C2×C4×D5—91no—
249C22⋊AGL(1,𝔽5)—34no—
250C22⋊AGL(1,𝔽5)—92no—
251C4⋊AGL(1,𝔽5)—34no—
252C4⋊AGL(1,𝔽5)—92no—
253C4×AGL(1,𝔽5)—32no—
254C4×AGL(1,𝔽5)—94no—
255C4×AGL(1,𝔽5)—92no—
256C4×AGL(1,𝔽5)—91no—
257C4×AGL(1,𝔽5)D3211yescharacteristic
258C22×C3⋊D3—51no—
259C22×C3×D3—52no—
260C2×C32×C4—51no—
261C2×C32×C4—52no—
262C2×C3⋊Dic3—52no—
263C2×C3⋊Dic3—51no—
264C4×C3⋊D3—51no—
265C4×C3⋊D3—51no—
266C4×C3⋊D3—51no—
267C4×C3⋊D3—104no—
268C4×C3⋊D3C2×AGL(1,𝔽5)11yescharacteristic, complemented
269C2×C3×Dic3—52no—
270C2×C3×Dic3—54no—
271C3×C4×D3—52no—
272C3×C4×D3—52no—
273C3×C4×D3—52no—
274C3×C4×D3C2×AGL(1,𝔽5)12yescomplemented
275#627—51no—
276#627—52no—
277#627C2×AGL(1,𝔽5)11yescharacteristic, complemented
278#626—52no—
279#626—52no—
280#626—52no—
281#626C2×AGL(1,𝔽5)12yescomplemented
282#625—52no—
283#625—51no—
284#625C2×AGL(1,𝔽5)11yescharacteristic, complemented
285D3×Dic3—108no—
286C4×#41—451noSylow
287C22×C3×C5—32no—
288C2×D15—32no—
289C2×D15—61no—
290C2×D15C2×C4×D312yes—
291C2×C5×D3—32no—
292C2×C5×D3—61no—
293C2×C5×D3C2×C4×D312yes—
294C2×C3×D5—21no—
295C2×C3×D5—32no—
296C2×C3×D5—64no—
297C2×C3×D5C23×D312yes—
298D3×D5—24no—
299D3×D5—62no—
300D3×D5—62no—
301D3×D5—64no—
302ΓL(1,𝔽16)—24no—
303ΓL(1,𝔽16)—38no—
304ΓL(1,𝔽16)—64no—
305C3×AGL(1,𝔽5)—22no—
306C3×AGL(1,𝔽5)—22no—
307C3×AGL(1,𝔽5)—24no—
308C3×AGL(1,𝔽5)—64no—
309C3×C4×C5—21no—
310C3×C4×C5—32no—
311C3×C4×C5C2×C4×D312yes—
312Dic15—32no—
313Dic15—61no—
314Dic15C2×C4×D312yes—
315C3×Dic5—21no—
316C3×Dic5—32no—
317C3×Dic5C2×C4×D312yes—
318C5×Dic3—32no—
319C5×Dic3—61no—
320C5×Dic3C2×C4×D312yes—
321C22×C3×C4—152no—
322C2×#67—152no—
323C2×#67—152no—
324C22×Dic3—154no—
325#235—32no—
326#235—152no—
327#235—152no—
328#235—152no—
329#235—152no—
330#235—152no—
331#235—152no—
332#235—152no—
333C2×D12—152no—
334C2×C4×D3—52no—
335C2×C4×D3—152no—
336C2×C4×D3—154no—
337C2×C4×D3—154no—
338C2×C4×D3—301no—
339C2×C4×D3—302no—
340C2×Dic6—152no—
341C3×C4⋊C4—154no—
342C3×C22⋊C4—154no—
343C3×C42—52no—
344C3×C42—101no—
345C3×C42—152no—
346(C2×D3)⋊C4—54no—
347(C2×D3)⋊C4—154no—
348Dic3⋊C4—54no—
349Dic3⋊C4—154no—
350C4×Dic3—52no—
351C4×Dic3—154no—
352C4×Dic3—154no—
353C4×Dic3—154no—
354C4×Dic3—152no—
355C4×Dic3—302no—
356C4×Dic3—301no—
357C32×C5C4×#4111yescharacteristic, complemented, Hall
358C22×D5—32no—
359C22×D5—91no—
360C2×AGL(1,𝔽5)—34no—
361C2×AGL(1,𝔽5)—92no—
362C2×AGL(1,𝔽5)—184no—
363C2×AGL(1,𝔽5)—188no—
364C2×AGL(1,𝔽5)C2×D3212yes—
365C5×Q8—91no—
366C5×D4—92no—
367C5×D4—91no—
368C2×C4×C5—32no—
369C2×C4×C5—91no—
370C22⋊D5—92no—
371C22⋊D5—92no—
372C22⋊D5—92no—
373C2×Dic5—32no—
374C2×Dic5—91no—
375D20—92no—
376D20—91no—
377C4×D5—32no—
378C4×D5—32no—
379C4×D5—32no—
380C4×D5—91no—
381C4×D5—91no—
382C4×D5—91no—
383C4×D5C2×D3211yescharacteristic
384Dic10—91no—
385Dic10—92no—
386C22×C32—51no—
387C2×C3⋊D3—51no—
388C2×C3⋊D3—102no—
389C2×C3⋊D3C22×AGL(1,𝔽5)11yescharacteristic
390C2×C3×D3—52no—
391C2×C3×D3—104no—
392C2×C3×D3C22×AGL(1,𝔽5)12yes—
393C32×C4—51no—
394C32×C4—102no—
395C32×C4C22×AGL(1,𝔽5)11yescharacteristic
396C3⋊Dic3—54no—
397C3⋊Dic3—51no—
398C3⋊Dic3C22×AGL(1,𝔽5)11yescharacteristic
399C3×Dic3—52no—
400C3×Dic3—104no—
401C3×Dic3C22×AGL(1,𝔽5)12yes—
402C2×#41—451no—
403C4×Q8—452no—
404C4×D4—452no—
405C4×D4—454no—
406#117—152no—
407#117—451no—
408C2×C42—451no—
409C2×C42—452no—
410C2×C3×C5—21no—
411C2×C3×C5—62no—
412C2×C3×C5C22×C4×D312yes—
413D15—22no—
414D15—61no—
415D15—61no—
416D15—62no—
417C3×D5—22no—
418C3×D5—62no—
419C3×D5D3×#4114yes—
420C5×D3—22no—
421C5×D3—61no—
422C5×D3—61no—
423C5×D3—62no—
424C23×C3—152no—
425C22×D3—52no—
426C22×D3—152no—
427C22×D3—301no—
428C2×C3×C4—32no—
429C2×C3×C4—52no—
430C2×C3×C4—54no—
431C2×C3×C4—101no—
432C2×C3×C4—102no—
433C2×C3×C4—152no—
434C2×C3×C4—152no—
435C2×C3×C4—152no—
436C2×C3×C4—152no—
437C2×C3×C4—154no—
438#67—32no—
439#67—32no—
440#67—152no—
441#67—152no—
442#67—152no—
443#67—152no—
444#67—152no—
445#67—152no—
446C2×Dic3—52no—
447C2×Dic3—54no—
448C2×Dic3—152no—
449C2×Dic3—154no—
450C2×Dic3—301no—
451C2×Dic3—302no—
452C2×Dic3—308no—
453D12—32no—
454D12—152no—
455D12—152no—
456D12—152no—
457C4×D3—32no—
458C4×D3—52no—
459C4×D3—52no—
460C4×D3—52no—
461C4×D3—61no—
462C4×D3—152no—
463C4×D3—152no—
464C4×D3—152no—
465C4×D3—301no—
466C4×D3—301no—
467C4×D3—301no—
468C4×D3—308no—
469C4×D3—308no—
470C4×D3—304no—
471C4×D3—304no—
472C4×D3D3×AGL(1,𝔽5)12yescomplemented
473Dic6—32no—
474Dic6—152no—
475Dic6—152no—
476Dic6—152no—
477C22×C5—32no—
478C22×C5—91no—
479C2×D5—32no—
480C2×D5—64no—
481C2×D5—91no—
482C2×D5—182no—
483C2×D5C22×D3211yescharacteristic
484AGL(1,𝔽5)—22no—
485AGL(1,𝔽5)—64no—
486AGL(1,𝔽5)—94no—
487C4×C5—32no—
488C4×C5—91no—
489C4×C5C4×D3211yescharacteristic
490Dic5—32no—
491Dic5—91no—
492Dic5C4×D3211yescharacteristic
493C2×C32—52no—
494C2×C32C23×AGL(1,𝔽5)11yescharacteristic
495C3⋊D3—21no—
496C3⋊D3—101no—
497C3×D3—22no—
498C3×D3—102no—
499#41—91no—
500#41—452no—
501#41—451no—
502#41—452no—
503#41—451no—
504#41—451no—
505C2×Q8—451no—
506C2×D4—452no—
507C2×D4—451no—
508C22×C4—152no—
509C22×C4—451no—
510C22×C4—452no—
511C22×C4—454no—
512C4⋊C4—154no—
513C4⋊C4—452no—
514C22⋊C4—154no—
515C22⋊C4—452no—
516C42—51no—
517C42—152no—
518C42—451no—
519C42—452no—
520C42—454no—
521C3×C5—21no—
522C3×C5#552212yescomplemented
523C22×C3—32no—
524C22×C3—52no—
525C22×C3—101no—
526C22×C3—152no—
527C22×C3—304no—
528C2×D3—32no—
529C2×D3—52no—
530C2×D3—61no—
531C2×D3—104no—
532C2×D3—152no—
533C2×D3—301no—
534C2×D3—304no—
535C2×D3—302no—
536C2×D3—302no—
537C2×D3C2×D3×AGL(1,𝔽5)12yes—
538C3×C4—21no—
539C3×C4—32no—
540C3×C4—52no—
541C3×C4—101no—
542C3×C4—104no—
543C3×C4—102no—
544C3×C4—102no—
545C3×C4—152no—
546C3×C4—304no—
547C3×C4C2×D3×AGL(1,𝔽5)12yes—
548Dic3—32no—
549Dic3—52no—
550Dic3—61no—
551Dic3—104no—
552Dic3—158no—
553Dic3—152no—
554Dic3—301no—
555Dic3—304no—
556Dic3C2×D3×AGL(1,𝔽5)12yes—
557C2×C5—62no—
558C2×C5—181no—
559C2×C5C2×C4×D3211yescharacteristic
560D5—62no—
561D5—181no—
562D5#6430612yes—
563C32#41×AGL(1,𝔽5)11yescharacteristic, complemented, Sylow
564C23—152no—
565C23—451no—
566Q8—91no—
567Q8—452no—
568Q8—451no—
569D4—92no—
570D4—91no—
571D4—452no—
572D4—451no—
573D4—452no—
574D4—452no—
575D4—452no—
576C2×C4—32no—
577C2×C4—51no—
578C2×C4—52no—
579C2×C4—91no—
580C2×C4—152no—
581C2×C4—152no—
582C2×C4—152no—
583C2×C4—152no—
584C2×C4—154no—
585C2×C4—451no—
586C2×C4—451no—
587C2×C4—451no—
588C2×C4—452no—
589C2×C4—451no—
590C2×C4—904no—
591C2×C4—908no—
592C2×C3—21no—
593C2×C3—54no—
594C2×C3—62no—
595C2×C3—102no—
596C2×C3—302no—
597C2×C3C22×D3×AGL(1,𝔽5)12yes—
598D3—22no—
599D3—61no—
600D3—61no—
601D3—62no—
602D3—102no—
603D3—301no—
604D3—301no—
605D3—302no—
606C5#1059396611yescharacteristic, complemented, Sylow
607C22—32no—
608C22—51no—
609C22—91no—
610C22—152no—
611C22—304no—
612C22—451no—
613C22—902no—
614C4—32no—
615C4—51no—
616C4—91no—
617C4—102no—
618C4—152no—
619C4—304no—
620C4—454no—
621C4—451no—
622C4D32×AGL(1,𝔽5)11yescharacteristic
623C3—21no—
624C3#1175683512yescomplemented
625C2—52no—
626C2—62no—
627C2—181no—
628C2—302no—
629C2—901no—
630C2C2×D32×AGL(1,𝔽5)11yescharacteristic
subgroupG/H
center, hypercenterC4D32×AGL(1,𝔽5)
commutator, socleC2×C32×C5C23×C4
FrattiniC2C2×D32×AGL(1,𝔽5)
FittingC32×C4×C5C22×C4
prime radicalD5×#3798C2
cosocleC2×C32×D5C24
hypocenterC32×C5C4×#41
LCSG ▷ C2×C32×C5 ▷ C32×C5
UCSC1 ◁ C4

Complements

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

NH ≅ G/Ntype
2. #13088724C2semidirect
3. C4×D3×ΓL(1,𝔽16)C2semidirect
4. C4×C3⋊D3×AGL(1,𝔽5)C2semidirect
5. C3×#91909C2semidirect
6. #13088420C2semidirect
7. #13088417C2semidirect
8. #13088416C2semidirect
12. #10624223C4semidirect
13. #10624199C4semidirect
14. C5×#3798C4semidirect
20. #10624052C4semidirect
21. #10624049C4semidirect
22. #10624048C4semidirect
43. #91909D3semidirect
52. C4×C3⋊D15C2×C4semidirect
53. C4×C5×C3⋊D3C2×C4semidirect
54. C3×C4×D15C2×C4semidirect
55. C3×C4×C5×D3C2×C4semidirect
57. #67158C2×C4semidirect
58. #67157C2×C4semidirect
59. #67156C2×C4semidirect
60. #67153C2×C4semidirect
61. #67152C2×C4semidirect
62. #67151C2×C4semidirect
63. #67150C2×C4semidirect
64. C5×#627C2×C4semidirect
65. C5×#626C2×C4semidirect
66. C5×#625C2×C4semidirect
67. #67137C2×C4semidirect
68. C3⋊D3×Dic5C2×C4semidirect
70. C3×#1200C2×C4semidirect
71. C3×D3×Dic5C2×C4semidirect
126. C3⋊ΓL(1,𝔽16)#41semidirect
155. #3798AGL(1,𝔽5)semidirect
186. C4×D15C4×D3semidirect
193. C4×C5×D3C4×D3semidirect
211. #1200C4×D3semidirect
214. D3×Dic5C4×D3semidirect
268. C4×C3⋊D3C2×AGL(1,𝔽5)semidirect
274. C3×C4×D3C2×AGL(1,𝔽5)semidirect
277. #627C2×AGL(1,𝔽5)semidirect
281. #626C2×AGL(1,𝔽5)semidirect
284. #625C2×AGL(1,𝔽5)semidirect
357. C32×C5C4×#41semidirect
472. C4×D3D3×AGL(1,𝔽5)semidirect
522. C3×C5#5522semidirect
563. C32#41×AGL(1,𝔽5)semidirect
606. C5#10593966semidirect
624. C3#11756835semidirect

Maximal subgroups

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

subgroupindex
D5×#37982
#130887242
C4×D3×ΓL(1,𝔽16)2
C4×C3⋊D3×AGL(1,𝔽5)2
C3×#919092
#130884202
#130884172
#130884162
#117568353
#105939665