Finite Group Databasebeta

← #12306517

Subgroups — #12306517

Order 1280.

1770 conjugacy classes of subgroups.

The subgroup lattice has 1414 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2505C211yesmaximal, characteristic, complemented
2#10610116C211yesmaximal, characteristic, complemented
3#10610115C211yesmaximal, characteristic, complemented
4#10610109C211yesmaximal, characteristic, complemented
5#10610108C211yesmaximal, characteristic, complemented
6#10610098C211yesmaximal, characteristic, complemented
7#10610097C211yesmaximal, characteristic, complemented
8#10609708C211yesmaximal, characteristic, complemented
9#10609707C211yesmaximal, characteristic, complemented
10#10607994C211yesmaximal, characteristic, complemented
11#10607993C211yesmaximal, characteristic, complemented
12#10607144C211yesmaximal, characteristic, complemented
13#10607136C211yesmaximal, characteristic, complemented
14#10607135C211yesmaximal, characteristic, complemented
15#10607126C211yesmaximal, characteristic, complemented
16#10606386C211yesmaximal, characteristic
17#10606386C211yesmaximal, characteristic
18#10606235C211yesmaximal, characteristic, complemented
19#10606195C211yesmaximal, characteristic, complemented
20#10606194C211yesmaximal, characteristic, complemented
21#10606184C211yesmaximal, characteristic
22#10606183C211yesmaximal, characteristic
23#10606118C211yesmaximal, characteristic, complemented
24#10605979C211yesmaximal, characteristic, complemented
25#10605978C211yesmaximal, characteristic, complemented
26#10605688C211yesmaximal, characteristic, complemented
27#10605640C211yesmaximal, characteristic
28#10605327C211yesmaximal, characteristic
29#10605178C211yesmaximal, characteristic, complemented
30C2×#64953C211yesmaximal, characteristic
31#10605086C211yesmaximal, characteristic, complemented
32C23×C4×D5C2211yescharacteristic
33C22×#685C2211yescharacteristic
34C22×#685C2211yescharacteristic
35C2×#4044C2211yescharacteristic
36C2×#4044C2211yescharacteristic
37C2×#4044C2211yescharacteristic
38C2×#4042C2211yescharacteristic
39C2×#4042C2211yescharacteristic
40C2×#4042C2211yescharacteristic
41C2×#4042C2211yescharacteristic
42C2×#4024C2211yescharacteristic
43C2×#4024C2211yescharacteristic
44C2×#4022C2211yescharacteristic
45C5×#400C2211yescharacteristic, complemented
46C5×#400C2211yescharacteristic, complemented
47C5×#400C2211yescharacteristic, complemented
48C5×#398C2211yescharacteristic, complemented
49C5×#389C2211yescharacteristic, complemented
50C5×#387C2211yescharacteristic, complemented
51C5×#387C2211yescharacteristic, complemented
52C5×#385C2211yescharacteristic
53C5×#385C2211yescharacteristic
54C5×#385C2211yescharacteristic
55C5×#385C2211yescharacteristic
56C5×#382C2211yescharacteristic, complemented
57C5×#380C2211yescharacteristic
58C4×C5×C22⋊C4C2211yescharacteristic
59C2×C5×#95C2211yescharacteristic
60#65501C2211yescharacteristic
61#65499C2211yescharacteristic
62#65499C2211yescharacteristic
63#65499C2211yescharacteristic
64#65499C2211yescharacteristic
65C4×C22⋊Dic5C2211yescharacteristic
66C2×#3963C2211yescharacteristic
67C2×#3963C2211yescharacteristic
68C2×#3963C2211yescharacteristic
69#65283C2211yescharacteristic
70#65283C2211yescharacteristic
71#65283C2211yescharacteristic
72#65282C2211yescharacteristic
73#65282C2211yescharacteristic
74#65282C2211yescharacteristic
75#65279C2211yescharacteristic
76#65279C2211yescharacteristic
77#65279C2211yescharacteristic
78#65278C2211yescharacteristic
79#65278C2211yescharacteristic
80#65278C2211yescharacteristic
81#65278C2211yescharacteristic
82#65275C2211yescharacteristic, complemented
83#65273C2211yescharacteristic, complemented
84#65273C2211yescharacteristic, complemented
85#65273C2211yescharacteristic, complemented
86#65273C2211yescharacteristic, complemented
87#65272C2211yescharacteristic, complemented
88#65271C2211yescharacteristic, complemented
89#65271C2211yescharacteristic, complemented
90#65269C2211yescharacteristic, complemented
91#65269C2211yescharacteristic, complemented
92#65268C2211yescharacteristic, complemented
93#65268C2211yescharacteristic, complemented
94#65267C2211yescharacteristic, complemented
95#65267C2211yescharacteristic, complemented
96#65266C2211yescharacteristic, complemented
97#65263C2211yescharacteristic, complemented
98#65262C2211yescharacteristic, complemented
99#65262C2211yescharacteristic, complemented
100#65261C2211yescharacteristic, complemented
101#65261C2211yescharacteristic, complemented
102#65244C2211yescharacteristic
103#65244C2211yescharacteristic
104#65244C2211yescharacteristic
105#65244C2211yescharacteristic
106#65239C2211yescharacteristic
107#65239C2211yescharacteristic
108#65235C2211yescharacteristic
109#65235C2211yescharacteristic
110#65231C2211yescharacteristic
111#65231C2211yescharacteristic
112#65231C2211yescharacteristic
113#65231C2211yescharacteristic
114C22⋊C4×Dic5C2211yescharacteristic
115C22⋊C4×Dic5C2211yescharacteristic
116#65229C2211yescharacteristic
117#65229C2211yescharacteristic
118#65229C2211yescharacteristic
119#65222C2211yescharacteristic, complemented
120#65222C2211yescharacteristic, complemented
121#65218C2211yescharacteristic, complemented
122#65217C2211yescharacteristic, complemented
123#64965C2211yescharacteristic
124#64964C2211yescharacteristic
125#64964C2211yescharacteristic
126#64964C2211yescharacteristic
127#64964C2211yescharacteristic
128#64964C2211yescharacteristic
129#64964C2211yescharacteristic
130#64963C2211yescharacteristic
131#64963C2211yescharacteristic
132#64963C2211yescharacteristic
133#64959C2211yescharacteristic
134#64959C2211yescharacteristic
135#64959C2211yescharacteristic
136#64958C2211yescharacteristic
137#64958C2211yescharacteristic
138#64958C2211yescharacteristic
139#64957C2211yescharacteristic
140#64957C2211yescharacteristic
141#64957C2211yescharacteristic
142#64957C2211yescharacteristic
143#64956C2211yescharacteristic
144#64956C2211yescharacteristic
145#64956C2211yescharacteristic
146#64956C2211yescharacteristic
147#64953C2211yescharacteristic
148#64953C2211yescharacteristic
149#64953C2211yescharacteristic
150#64953C2211yescharacteristic
151#64953C2211yescharacteristic
152#64953C2211yescharacteristic
153#64953C2211yescharacteristic
154#64953C2211yescharacteristic
155#64949C2211yescharacteristic, complemented
156#64949C2211yescharacteristic, complemented
157#64948C2211yescharacteristic, complemented
158#64948C2211yescharacteristic, complemented
159#64947C2211yescharacteristic, complemented
160#64947C2211yescharacteristic, complemented
161#64947C2211yescharacteristic, complemented
162#64947C2211yescharacteristic, complemented
163#64947C2211yescharacteristic, complemented
164#64947C2211yescharacteristic, complemented
165#64946C2211yescharacteristic, complemented
166#64946C2211yescharacteristic, complemented
167#64946C2211yescharacteristic, complemented
168#64946C2211yescharacteristic, complemented
169#64945C2211yescharacteristic, complemented
170#64945C2211yescharacteristic, complemented
171#64944C2211yescharacteristic, complemented
172#64944C2211yescharacteristic, complemented
173#64943C2211yescharacteristic, complemented
174#64943C2211yescharacteristic, complemented
175#64942C2211yescharacteristic, complemented
176#64942C2211yescharacteristic, complemented
177#64941C2211yescharacteristic, complemented
178#64941C2211yescharacteristic, complemented
179#64941C2211yescharacteristic, complemented
180#64941C2211yescharacteristic, complemented
181#64939C2211yescharacteristic, complemented
182#64939C2211yescharacteristic, complemented
183#64936C2211yescharacteristic, complemented
184#64936C2211yescharacteristic, complemented
185#64935C2211yescharacteristic, complemented
186#64935C2211yescharacteristic, complemented
187#36732—51nomaximal, Sylow
188C24×D5C2311yescharacteristic
189C23×C4×C5C2311yescharacteristic
190C23×C4×C5C2311yescharacteristic
191C23×C4×C5C2311yescharacteristic
192C23×Dic5C2311yescharacteristic
193C23×Dic5C2311yescharacteristic
194C23×Dic5C2311yescharacteristic
195C22×C4×D5—24no—
196C22×C4×D5—42no—
197C22×C4×D5—42no—
198C22×C4×D5C2311yescharacteristic
199C22×C4×D5C2311yescharacteristic
200C22×C4×D5C2311yescharacteristic
201C22×C4×D5C2311yescharacteristic
202C22×Dic10C2311yescharacteristic
203C22×Dic10C2311yescharacteristic
204C2×C5×C4⋊C4C2311yescharacteristic
205C2×C5×C4⋊C4C2311yescharacteristic
206C2×C5×C4⋊C4C2311yescharacteristic
207C2×C5×C4⋊C4C2311yescharacteristic
208C2×C5×C4⋊C4C2311yescharacteristic
209C2×C5×C4⋊C4C2311yescharacteristic
210C2×C5×C4⋊C4C2311yescharacteristic
211C2×C5×C4⋊C4C2311yescharacteristic
212C2×C5×C4⋊C4C2311yescharacteristic
213C2×C5×C4⋊C4C2311yescharacteristic
214C2×C5×C22⋊C4C2311yescharacteristic
215C2×C5×C22⋊C4C2311yescharacteristic
216C2×C5×C22⋊C4C2311yescharacteristic
217C2×C5×C22⋊C4C2311yescharacteristic
218C2×C42×C5C2311yescharacteristic
219C2×C42×C5C2311yescharacteristic
220C2×C22⋊Dic5C2311yescharacteristic
221C2×C22⋊Dic5C2311yescharacteristic
222C2×C22⋊Dic5C2311yescharacteristic
223C2×C22⋊Dic5C2311yescharacteristic
224C2×#685—42no—
225C2×#685—42no—
226C2×#685C2311yescharacteristic
227C2×#685C2311yescharacteristic
228C2×#685C2311yescharacteristic
229C2×#685C2311yescharacteristic
230C2×#685C2311yescharacteristic
231C2×#685C2311yescharacteristic
232C2×#685C2311yescharacteristic
233C2×#685C2311yescharacteristic
234C2×#685C2311yescharacteristic
235C2×#685C2311yescharacteristic
236C2×#685C2311yescharacteristic
237C2×#685C2311yescharacteristic
238C2×#685C2311yescharacteristic
239C2×#685C2311yescharacteristic
240C2×#685C2311yescharacteristic
241C2×#685C2311yescharacteristic
242C2×#685C2311yescharacteristic
243C2×#685C2311yescharacteristic
244C2×#685C2311yescharacteristic
245C2×#685C2311yescharacteristic
246C2×#685C2311yescharacteristic
247C2×#685C2311yescharacteristic
248C2×#685C2311yescharacteristic
249C2×#685C2311yescharacteristic
250C2×C4⋊Dic5C2311yescharacteristic
251C2×C4⋊Dic5C2311yescharacteristic
252C2×C4⋊Dic5C2311yescharacteristic
253C2×C4⋊Dic5C2311yescharacteristic
254C2×C4⋊Dic5C2311yescharacteristic
255C2×C4⋊Dic5C2311yescharacteristic
256C2×C4⋊Dic5C2311yescharacteristic
257C2×C4⋊Dic5C2311yescharacteristic
258C2×#683C2311yescharacteristic
259C2×#683C2311yescharacteristic
260C2×#683C2311yescharacteristic
261C2×#683C2311yescharacteristic
262C2×#683C2311yescharacteristic
263C2×#683C2311yescharacteristic
264C2×#683C2311yescharacteristic
265C2×#683C2311yescharacteristic
266C2×#683C2311yescharacteristic
267C2×#683C2311yescharacteristic
268C2×#683C2311yescharacteristic
269C2×#683C2311yescharacteristic
270C2×#683C2311yescharacteristic
271C2×#683C2311yescharacteristic
272C2×#683C2311yescharacteristic
273C2×#683C2311yescharacteristic
274C2×#683C2311yescharacteristic
275C2×#683C2311yescharacteristic
276C2×#683C2311yescharacteristic
277C2×#683C2311yescharacteristic
278C2×#683C2311yescharacteristic
279C2×#683C2311yescharacteristic
280C2×#683C2311yescharacteristic
281C2×#683C2311yescharacteristic
282C2×C4×Dic5C2311yescharacteristic
283C2×C4×Dic5C2311yescharacteristic
284C2×C4×Dic5C2311yescharacteristic
285C2×C4×Dic5C2311yescharacteristic
286C2×C4×Dic5C2311yescharacteristic
287C2×C4×Dic5C2311yescharacteristic
288#4044—42no—
289#4044—42no—
290#4044—42no—
291#4042—42no—
292#4042—42no—
293#4042—42no—
294#4042—42no—
295#4024—24no—
296#4024—24no—
297#4022—42no—
298C5×#95C2311yescharacteristic
299C5×#95C2311yescharacteristic
300C5×#95C2311yescharacteristic
301C5×#95C2311yescharacteristic
302C5×#95C2311yescharacteristic
303C5×#95C2311yescharacteristic
304C5×#95C2311yescharacteristic
305C5×#95C2311yescharacteristic
306C5×#95C2311yescharacteristic
307C5×#95C2311yescharacteristic
308C5×#95C2311yescharacteristic
309C5×#95C2311yescharacteristic
310C5×#95C2311yescharacteristic
311C5×#95C2311yescharacteristic
312C5×#95C2311yescharacteristic
313C5×#95C2311yescharacteristic
314#3963C2311yescharacteristic
315#3963C2311yescharacteristic
316#3963C2311yescharacteristic
317#3963C2311yescharacteristic
318#3963C2311yescharacteristic
319#3963C2311yescharacteristic
320#3963C2311yescharacteristic
321#3963C2311yescharacteristic
322#3963C2311yescharacteristic
323#3963C2311yescharacteristic
324#3963C2311yescharacteristic
325#3963C2311yescharacteristic
326#3963C2311yescharacteristic
327#3963C2311yescharacteristic
328#3963C2311yescharacteristic
329#3963C2311yescharacteristic
330#3963C2311yescharacteristic
331#3963C2311yescharacteristic
332#3963C2311yescharacteristic
333#3963C2311yescharacteristic
334#3963C2311yescharacteristic
335#3963C2311yescharacteristic
336#3963C2311yescharacteristic
337#3963C2311yescharacteristic
338#3963C2311yescharacteristic
339#3963C2311yescharacteristic
340#3963C2311yescharacteristic
341#3963C2311yescharacteristic
342#3963C2311yescharacteristic
343#3963C2311yescharacteristic
344#3963C2311yescharacteristic
345#3963C2311yescharacteristic
346#3963C2311yescharacteristic
347#3963C2311yescharacteristic
348#3963C2311yescharacteristic
349#3963C2311yescharacteristic
350#3963C2311yescharacteristic
351#3963C2311yescharacteristic
352#3963C2311yescharacteristic
353#3963C2311yescharacteristic
354#3963C2311yescharacteristic
355#3963C2311yescharacteristic
356#3963C2311yescharacteristic
357#3963C2311yescharacteristic
358#2848—51no—
359#2848—51no—
360#2744—51no—
361#2744—51no—
362#2744—51no—
363#2744—51no—
364#2739—51no—
365#2739—51no—
366#2739—51no—
367#2739—51no—
368#2698—51no—
369#2698—51no—
370#2698—51no—
371#2698—51no—
372#2689—51no—
373#2689—51no—
374#2689—51no—
375#2689—51no—
376#2659—51no—
377#2646—51no—
378#2505—51no—
379#2505—51no—
380#2505—51no—
381#2505D511yescharacteristic, complemented
382#2480—51no—
383#2480—51no—
384#2480—51no—
385#2480—51no—
386#2329—51no—
387#2329—51no—
388C2×#381—51no—
389C24×C5C2411yescharacteristic
390C23×D5—22no—
391C23×D5—22no—
392C23×D5—22no—
393C23×D5—22no—
394C23×D5—22no—
395C23×D5—41no—
396C23×D5—41no—
397C23×D5C2411yescharacteristic
398C23×D5C2411yescharacteristic
399C22×C4×C5—22no—
400C22×C4×C5—22no—
401C22×C4×C5—22no—
402C22×C4×C5—41no—
403C22×C4×C5—41no—
404C22×C4×C5—41no—
405C22×C4×C5—41no—
406C22×C4×C5—41no—
407C22×C4×C5—41no—
408C22×C4×C5C2411yescharacteristic
409C22×C4×C5C2411yescharacteristic
410C22×C4×C5C2411yescharacteristic
411C22×C4×C5C2411yescharacteristic
412C22×C4×C5C2411yescharacteristic
413C22×C4×C5C2411yescharacteristic
414C22×C4×C5C2411yescharacteristic
415C22×C4×C5C2411yescharacteristic
416C22×C4×C5C2411yescharacteristic
417C22×C4×C5C2411yescharacteristic
418C22×C4×C5C2411yescharacteristic
419C22×C4×C5C2411yescharacteristic
420C22×C4×C5C2411yescharacteristic
421C22×C4×C5C2411yescharacteristic
422C22×Dic5—22no—
423C22×Dic5—22no—
424C22×Dic5—41no—
425C22×Dic5—41no—
426C22×Dic5—41no—
427C22×Dic5—41no—
428C22×Dic5—41no—
429C22×Dic5—41no—
430C22×Dic5#4114yes—
431C22×Dic5C2411yescharacteristic
432C22×Dic5C2411yescharacteristic
433C22×Dic5C2411yescharacteristic
434C22×Dic5C2411yescharacteristic
435C22×Dic5C2411yescharacteristic
436C22×Dic5C2411yescharacteristic
437C22×Dic5C2411yescharacteristic
438C22×Dic5C2411yescharacteristic
439C22×Dic5C2411yescharacteristic
440C22×Dic5C2411yescharacteristic
441C22×Dic5C2411yescharacteristic
442C22×Dic5C2411yescharacteristic
443C22×Dic5C2411yescharacteristic
444C22×Dic5C2411yescharacteristic
445C2×C4×D5—22no—
446C2×C4×D5—22no—
447C2×C4×D5—22no—
448C2×C4×D5—22no—
449C2×C4×D5—22no—
450C2×C4×D5—22no—
451C2×C4×D5—22no—
452C2×C4×D5—22no—
453C2×C4×D5—41no—
454C2×C4×D5—41no—
455C2×C4×D5—41no—
456C2×C4×D5—41no—
457C2×C4×D5—416no—
458C2×Dic10—22no—
459C2×Dic10—22no—
460C2×Dic10—41no—
461C2×Dic10—41no—
462C2×Dic10—41no—
463C2×Dic10—41no—
464C5×C4⋊C4—41no—
465C5×C4⋊C4—41no—
466C5×C4⋊C4—41no—
467C5×C4⋊C4—41no—
468C5×C4⋊C4—41no—
469C5×C4⋊C4—41no—
470C5×C4⋊C4—41no—
471C5×C4⋊C4—41no—
472C5×C4⋊C4—41no—
473C5×C4⋊C4—41no—
474C5×C22⋊C4—22no—
475C5×C22⋊C4—22no—
476C5×C22⋊C4—22no—
477C5×C22⋊C4—22no—
478C42×C5—41no—
479C42×C5—41no—
480C22⋊Dic5—22no—
481C22⋊Dic5—22no—
482C22⋊Dic5—22no—
483C22⋊Dic5—22no—
484#685—22no—
485#685—22no—
486#685—22no—
487#685—22no—
488#685—22no—
489#685—22no—
490#685—22no—
491#685—22no—
492#685—22no—
493#685—22no—
494#685—22no—
495#685—22no—
496#685—41no—
497#685—41no—
498#685—41no—
499#685—41no—
500#685—41no—
501#685—41no—
502#685—41no—
503#685—41no—
504#685—41no—
505#685—41no—
506#685—41no—
507#685—41no—
508C4⋊Dic5—22no—
509C4⋊Dic5—22no—
510C4⋊Dic5—41no—
511C4⋊Dic5—41no—
512C4⋊Dic5—41no—
513C4⋊Dic5—41no—
514C4⋊Dic5—41no—
515C4⋊Dic5—41no—
516#683—22no—
517#683—22no—
518#683—22no—
519#683—22no—
520#683—41no—
521#683—41no—
522#683—41no—
523#683—41no—
524#683—41no—
525#683—41no—
526#683—41no—
527#683—41no—
528#683—41no—
529#683—41no—
530#683—41no—
531#683—41no—
532#683—41no—
533#683—41no—
534#683—41no—
535#683—41no—
536#683—41no—
537#683—41no—
538#683—41no—
539#683—41no—
540C4×Dic5—41no—
541C4×Dic5—41no—
542C4×Dic5—41no—
543C4×Dic5—41no—
544C4×Dic5—41no—
545C4×Dic5—41no—
546C24×C4—51no—
547C2×#126—51no—
548C2×#126—51no—
549C2×#126—51no—
550C2×#126—51no—
551C2×C22⋊Q8—51no—
552C2×C22⋊Q8—51no—
553C2×C22⋊Q8—51no—
554C2×C22⋊Q8—51no—
555C2×C22⋊Q8—51no—
556C2×C22⋊Q8—51no—
557C22×C22⋊C4—51no—
558C22×C22⋊C4—51no—
559#400—51no—
560#400—51no—
561#400—51no—
562#400—51no—
563#400—51no—
564#400—51no—
565#400—51no—
566#400—51no—
567#400—51no—
568#400—51no—
569#400—51no—
570#400—51no—
571#400—51no—
572#400C2×D511yescharacteristic, complemented
573#400C2×D511yescharacteristic, complemented
574#400C2×D511yescharacteristic, complemented
575#398—51no—
576#398—51no—
577#398—51no—
578#398—51no—
579#398—51no—
580#398—51no—
581#398—51no—
582#398—51no—
583#398—51no—
584#398—51no—
585#398—51no—
586#398C2×D511yescharacteristic, complemented
587#397—51no—
588#397—51no—
589#397—51no—
590#397—51no—
591#397—51no—
592#397—51no—
593#397—51no—
594#397—51no—
595#397—51no—
596#397—51no—
597#397—51no—
598#397—51no—
599#396—51no—
600#396—51no—
601#396—51no—
602#396—51no—
603#395—51no—
604#395—51no—
605#395—51no—
606#395—51no—
607#391—51no—
608#391—51no—
609#391—51no—
610#391—51no—
611#389—51no—
612#389—51no—
613#389—51no—
614#389—51no—
615#389—51no—
616#389—51no—
617#389—51no—
618#389C2×D511yescharacteristic, complemented
619#388—51no—
620#388—51no—
621#388—51no—
622#388—51no—
623#388—51no—
624#388—51no—
625#388—51no—
626#388—51no—
627#388—51no—
628#388—51no—
629#388—51no—
630#388—51no—
631#387—51no—
632#387—51no—
633#387—51no—
634#387—51no—
635#387—51no—
636#387—51no—
637#387—51no—
638#387—51no—
639#387—51no—
640#387—51no—
641#387—51no—
642#387—51no—
643#387—51no—
644#387—51no—
645#387C2×D511yescharacteristic, complemented
646#387C2×D511yescharacteristic, complemented
647#385—51no—
648#385—51no—
649#385—51no—
650#385—51no—
651#385—51no—
652#385—51no—
653#385—51no—
654#385—51no—
655#385—51no—
656#385—51no—
657#385—51no—
658#385—51no—
659#385—51no—
660#385—51no—
661#385—51no—
662#385—51no—
663#385C2×D511yescharacteristic
664#385C2×D511yescharacteristic
665#385C2×D511yescharacteristic
666#385C2×D511yescharacteristic
667#382—51no—
668#382—51no—
669#382—51no—
670#382C2×D511yescharacteristic, complemented
671#381—51no—
672#381—51no—
673#381—51no—
674#381—51no—
675#381—51no—
676#381—51no—
677#381—51no—
678#381—51no—
679#380—51no—
680#380—51no—
681#380—51no—
682#380—51no—
683#380—51no—
684#380—51no—
685#380—51no—
686#380—51no—
687#380—51no—
688#380C2×D511yescharacteristic
689#379—51no—
690#379—51no—
691#379—51no—
692#379—51no—
693C4×C22⋊C4—51no—
694C4×C22⋊C4—51no—
695C4×C22⋊C4—51no—
696C4×C22⋊C4C2×D511yescharacteristic
697C2×#95—51no—
698C2×#95—51no—
699C2×#95—51no—
700C2×#95C2×D511yescharacteristic
701C23×C5—21no—
702C23×C5—21no—
703C23×C5—21no—
704C23×C5—21no—
705C23×C5C2×#4112yes—
706C23×C52−1+412yes—
707C23×C52−1+412yes—
708C23×C5C2511yescharacteristic
709C22×D5—28no—
710C22×D5—21no—
711C22×D5—21no—
712C22×D5—21no—
713C22×D5—21no—
714C22×D5—21no—
715C22×D5—21no—
716C22×D5—21no—
717C22×D5—21no—
718C22×D5—21no—
719C22×D5—21no—
720C22×D5—21no—
721C22×D5—21no—
722C22×D5—44no—
723C22×D5—44no—
724C22×D5—44no—
725C22×D5—44no—
726C22×D5—44no—
727C22×D5—44no—
728C22×D5H(5,𝔽2)12yes—
729C22×D5H(5,𝔽2)12yes—
730C2×C4×C5—21no—
731C2×C4×C5—21no—
732C2×C4×C5—21no—
733C2×C4×C5—21no—
734C2×C4×C5—21no—
735C2×C4×C5—21no—
736C2×C4×C5—21no—
737C2×C4×C5—21no—
738C2×C4×C5—21no—
739C2×C4×C5—21no—
740C2×C4×C5—21no—
741C2×C4×C5—21no—
742C2×C4×C5—21no—
743C2×C4×C5—21no—
744C2×C4×C5—21no—
745C2×C4×C5—21no—
746C2×C4×C5—21no—
747C2×C4×C5—21no—
748C2×C4×C5—21no—
749C2×C4×C5—21no—
750C2×C4×C5—21no—
751C2×C4×C5—21no—
752C2×C4×C5—21no—
753C2×C4×C5—21no—
754C2×C4×C5—21no—
755C2×C4×C5—21no—
756C2×C4×C5—21no—
757C2×C4×C5—21no—
758C2×C4×C5—21no—
759C2×C4×C5—21no—
760C2×C4×C5—21no—
761C2×C4×C5—21no—
762C2×C4×C5—21no—
763C2×C4×C5—21no—
764C2×C4×C5—21no—
765C2×C4×C5—21no—
766C2×C4×C5—21no—
767C2×C4×C5—21no—
768C2×C4×C5—21no—
769C2×C4×C5—21no—
770C2×C4×C5—21no—
771C2×C4×C5—21no—
772C2×C4×C5—44no—
773C2×C4×C5—82no—
774C2×C4×C5—82no—
775C2×Dic5—21no—
776C2×Dic5—21no—
777C2×Dic5—21no—
778C2×Dic5—21no—
779C2×Dic5—21no—
780C2×Dic5—21no—
781C2×Dic5—21no—
782C2×Dic5—21no—
783C2×Dic5—21no—
784C2×Dic5—21no—
785C2×Dic5—21no—
786C2×Dic5—21no—
787C2×Dic5—21no—
788C2×Dic5—21no—
789C2×Dic5—21no—
790C2×Dic5—21no—
791C2×Dic5—21no—
792C2×Dic5—21no—
793C2×Dic5—21no—
794C2×Dic5—21no—
795C2×Dic5—21no—
796C2×Dic5—21no—
797C2×Dic5—21no—
798C2×Dic5—21no—
799C2×Dic5—21no—
800C2×Dic5—21no—
801C2×Dic5—21no—
802C2×Dic5—21no—
803C2×Dic5—21no—
804C2×Dic5—21no—
805C2×Dic5—21no—
806C2×Dic5—21no—
807C2×Dic5—21no—
808C2×Dic5—21no—
809C2×Dic5—21no—
810C2×Dic5—21no—
811C2×Dic5—21no—
812C2×Dic5—21no—
813C2×Dic5—21no—
814C2×Dic5—21no—
815C2×Dic5—44no—
816C2×Dic5—82no—
817C2×Dic5—82no—
818C2×Dic5C2×#4112yes—
819C2×Dic5C2×#4112yes—
820C4×D5—44no—
821C4×D5—44no—
822C4×D5—44no—
823C4×D5—44no—
824Dic10—82no—
825Dic10—82no—
826C25—51no—
827C22×Q8—51no—
828C22×Q8—51no—
829C23×C4—51no—
830C23×C4—51no—
831C23×C4—51no—
832C23×C4—51no—
833C23×C4—51no—
834C23×C4—51no—
835C23×C4—51no—
836C23×C4—104no—
837C23×C4—202no—
838C23×C4—202no—
839C23×C4C22×D511yescharacteristic
840C23×C4C22×D511yescharacteristic
841C23×C4C22×D511yescharacteristic
842#126—202no—
843#126—202no—
844#126—202no—
845#126—202no—
846C22⋊Q8—104no—
847C22⋊Q8—104no—
848C22⋊Q8—202no—
849C22⋊Q8—202no—
850C22⋊Q8—202no—
851C22⋊Q8—202no—
852C2×C4⋊C4—51no—
853C2×C4⋊C4—51no—
854C2×C4⋊C4—51no—
855C2×C4⋊C4—51no—
856C2×C4⋊C4—51no—
857C2×C4⋊C4—51no—
858C2×C4⋊C4—51no—
859C2×C4⋊C4—51no—
860C2×C4⋊C4—51no—
861C2×C4⋊C4—51no—
862C2×C4⋊C4—51no—
863C2×C4⋊C4—51no—
864C2×C4⋊C4—51no—
865C2×C4⋊C4—51no—
866C2×C4⋊C4—51no—
867C2×C4⋊C4—51no—
868C2×C4⋊C4—51no—
869C2×C4⋊C4—51no—
870C2×C4⋊C4—51no—
871C2×C4⋊C4—51no—
872C2×C4⋊C4—51no—
873C2×C4⋊C4—51no—
874C2×C4⋊C4—51no—
875C2×C4⋊C4—51no—
876C2×C4⋊C4—51no—
877C2×C4⋊C4—51no—
878C2×C4⋊C4—51no—
879C2×C4⋊C4—51no—
880C2×C4⋊C4—51no—
881C2×C4⋊C4—51no—
882C2×C4⋊C4—51no—
883C2×C4⋊C4—51no—
884C2×C4⋊C4C22×D511yescharacteristic
885C2×C4⋊C4C22×D511yescharacteristic
886C2×C4⋊C4C22×D511yescharacteristic
887C2×C4⋊C4C22×D511yescharacteristic
888C2×C4⋊C4C22×D511yescharacteristic
889C2×C4⋊C4C22×D511yescharacteristic
890C2×C4⋊C4C22×D511yescharacteristic
891C2×C4⋊C4C22×D511yescharacteristic
892C2×C4⋊C4C22×D511yescharacteristic
893C2×C4⋊C4C22×D511yescharacteristic
894C2×C22⋊C4—51no—
895C2×C22⋊C4—51no—
896C2×C22⋊C4—51no—
897C2×C22⋊C4—51no—
898C2×C22⋊C4—51no—
899C2×C22⋊C4—51no—
900C2×C22⋊C4—51no—
901C2×C22⋊C4—51no—
902C2×C22⋊C4—51no—
903C2×C22⋊C4—51no—
904C2×C22⋊C4—51no—
905C2×C22⋊C4—51no—
906C2×C22⋊C4—51no—
907C2×C22⋊C4—51no—
908C2×C22⋊C4—51no—
909C2×C22⋊C4—51no—
910C2×C22⋊C4—51no—
911C2×C22⋊C4—51no—
912C2×C22⋊C4—51no—
913C2×C22⋊C4—51no—
914C2×C22⋊C4—51no—
915C2×C22⋊C4—51no—
916C2×C22⋊C4—51no—
917C2×C22⋊C4—51no—
918C2×C22⋊C4—51no—
919C2×C22⋊C4—51no—
920C2×C22⋊C4—51no—
921C2×C22⋊C4—51no—
922C2×C22⋊C4—202no—
923C2×C22⋊C4—202no—
924C2×C22⋊C4C22×D511yescharacteristic
925C2×C22⋊C4C22×D511yescharacteristic
926C2×C22⋊C4C22×D511yescharacteristic
927C2×C22⋊C4C22×D511yescharacteristic
928C2×C42—51no—
929C2×C42—51no—
930C2×C42—51no—
931C2×C42—51no—
932C2×C42—51no—
933C2×C42—51no—
934C2×C42C22×D511yescharacteristic
935C2×C42C22×D511yescharacteristic
936#95—51no—
937#95—51no—
938#95—51no—
939#95—51no—
940#95—51no—
941#95—51no—
942#95—51no—
943#95—51no—
944#95—51no—
945#95—51no—
946#95—51no—
947#95—51no—
948#95—51no—
949#95—51no—
950#95—51no—
951#95—51no—
952#95—51no—
953#95—51no—
954#95—51no—
955#95—51no—
956#95—51no—
957#95—51no—
958#95—51no—
959#95—51no—
960#95—51no—
961#95—51no—
962#95—51no—
963#95—51no—
964#95—51no—
965#95—51no—
966#95—51no—
967#95—51no—
968#95—51no—
969#95—51no—
970#95—51no—
971#95—51no—
972#95—51no—
973#95—51no—
974#95—51no—
975#95—51no—
976#95—51no—
977#95—51no—
978#95—51no—
979#95—51no—
980#95C22×D511yescharacteristic
981#95C22×D511yescharacteristic
982#95C22×D511yescharacteristic
983#95C22×D511yescharacteristic
984#95C22×D511yescharacteristic
985#95C22×D511yescharacteristic
986#95C22×D511yescharacteristic
987#95C22×D511yescharacteristic
988#95C22×D511yescharacteristic
989#95C22×D511yescharacteristic
990#95C22×D511yescharacteristic
991#95C22×D511yescharacteristic
992#95C22×D511yescharacteristic
993#95C22×D511yescharacteristic
994#95C22×D511yescharacteristic
995#95C22×D511yescharacteristic
996C22×C5—22no—
997C22×C5—22no—
998C22×C5—22no—
999C22×C5—22no—
1000C22×C5—22no—
1001C22×C5—22no—
1002C22×C5#54114yes—
1003C22×C5C22×#4111yescharacteristic
1004C22×C5C2×H(5,𝔽2)11yescharacteristic
1005C22×C5C2×H(5,𝔽2)11yescharacteristic
1006C22×C5C2×2−1+411yescharacteristic
1007C22×C5C2×2−1+411yescharacteristic
1008C22×C5#58511yescharacteristic
1009C22×C5#58511yescharacteristic
1010C2×D5—22no—
1011C2×D5—22no—
1012C2×D5—22no—
1013C2×D5—22no—
1014C2×D5—22no—
1015C2×D5—22no—
1016C2×D5—416no—
1017C2×D5—41no—
1018C2×D5—41no—
1019C2×D5—41no—
1020C2×D5—41no—
1021C2×D5—41no—
1022C2×D5—41no—
1023C2×D5—41no—
1024C2×D5—41no—
1025C4×C5—41no—
1026C4×C5—41no—
1027C4×C5—41no—
1028C4×C5—41no—
1029C4×C5—41no—
1030C4×C5—41no—
1031C4×C5—41no—
1032C4×C5—41no—
1033C4×C5—41no—
1034C4×C5—41no—
1035C4×C5—41no—
1036C4×C5—41no—
1037C4×C5—41no—
1038C4×C5—41no—
1039Dic5—22no—
1040Dic5—22no—
1041Dic5—41no—
1042Dic5—41no—
1043Dic5—41no—
1044Dic5—41no—
1045Dic5—41no—
1046Dic5—41no—
1047Dic5—41no—
1048Dic5—41no—
1049Dic5—41no—
1050Dic5—41no—
1051Dic5—41no—
1052Dic5—41no—
1053C24—51no—
1054C24—51no—
1055C24—102no—
1056C24—102no—
1057C24—102no—
1058C24—102no—
1059C24—102no—
1060C24—201no—
1061C24—201no—
1062C24C23×D511yescharacteristic
1063C2×Q8—102no—
1064C2×Q8—102no—
1065C2×Q8—201no—
1066C2×Q8—201no—
1067C2×Q8—201no—
1068C2×Q8—201no—
1069C22×C4—22no—
1070C22×C4—22no—
1071C22×C4—22no—
1072C22×C4—41no—
1073C22×C4—41no—
1074C22×C4—41no—
1075C22×C4—41no—
1076C22×C4—41no—
1077C22×C4—41no—
1078C22×C4—51no—
1079C22×C4—51no—
1080C22×C4—54no—
1081C22×C4—51no—
1082C22×C4—51no—
1083C22×C4—51no—
1084C22×C4—51no—
1085C22×C4—51no—
1086C22×C4—51no—
1087C22×C4—51no—
1088C22×C4—51no—
1089C22×C4—51no—
1090C22×C4—51no—
1091C22×C4—51no—
1092C22×C4—51no—
1093C22×C4—102no—
1094C22×C4—102no—
1095C22×C4—102no—
1096C22×C4—102no—
1097C22×C4—102no—
1098C22×C4—102no—
1099C22×C4—102no—
1100C22×C4—102no—
1101C22×C4—102no—
1102C22×C4—102no—
1103C22×C4—201no—
1104C22×C4—201no—
1105C22×C4—201no—
1106C22×C4—201no—
1107C22×C4—2016no—
1108C22×C4—201no—
1109C22×C4—201no—
1110C22×C4—201no—
1111C22×C4—201no—
1112C22×C4—201no—
1113C22×C4—201no—
1114C22×C4C23×D511yescharacteristic
1115C22×C4C23×D511yescharacteristic
1116C22×C4C23×D511yescharacteristic
1117C22×C4C23×D511yescharacteristic
1118C22×C4C23×D511yescharacteristic
1119C22×C4C23×D511yescharacteristic
1120C22×C4C23×D511yescharacteristic
1121C22×C4C23×D511yescharacteristic
1122C22×C4C23×D511yescharacteristic
1123C22×C4C23×D511yescharacteristic
1124C22×C4C23×D511yescharacteristic
1125C22×C4C23×D511yescharacteristic
1126C22×C4C23×D511yescharacteristic
1127C22×C4C23×D511yescharacteristic
1128C4⋊C4—41no—
1129C4⋊C4—41no—
1130C4⋊C4—41no—
1131C4⋊C4—41no—
1132C4⋊C4—41no—
1133C4⋊C4—41no—
1134C4⋊C4—41no—
1135C4⋊C4—41no—
1136C4⋊C4—41no—
1137C4⋊C4—41no—
1138C4⋊C4—102no—
1139C4⋊C4—102no—
1140C4⋊C4—102no—
1141C4⋊C4—102no—
1142C4⋊C4—102no—
1143C4⋊C4—102no—
1144C4⋊C4—201no—
1145C4⋊C4—201no—
1146C4⋊C4—201no—
1147C4⋊C4—201no—
1148C4⋊C4—201no—
1149C4⋊C4—201no—
1150C4⋊C4—201no—
1151C4⋊C4—201no—
1152C4⋊C4—201no—
1153C4⋊C4—201no—
1154C4⋊C4—201no—
1155C4⋊C4—201no—
1156C4⋊C4—201no—
1157C4⋊C4—201no—
1158C4⋊C4—201no—
1159C4⋊C4—201no—
1160C4⋊C4—201no—
1161C4⋊C4—201no—
1162C4⋊C4—201no—
1163C4⋊C4—201no—
1164C4⋊C4—201no—
1165C4⋊C4—201no—
1166C4⋊C4—201no—
1167C4⋊C4—201no—
1168C4⋊C4—201no—
1169C4⋊C4—201no—
1170C22⋊C4—22no—
1171C22⋊C4—22no—
1172C22⋊C4—22no—
1173C22⋊C4—22no—
1174C22⋊C4—102no—
1175C22⋊C4—102no—
1176C22⋊C4—102no—
1177C22⋊C4—102no—
1178C22⋊C4—102no—
1179C22⋊C4—102no—
1180C22⋊C4—102no—
1181C22⋊C4—102no—
1182C22⋊C4—102no—
1183C22⋊C4—102no—
1184C22⋊C4—102no—
1185C22⋊C4—102no—
1186C22⋊C4—102no—
1187C22⋊C4—102no—
1188C22⋊C4—102no—
1189C22⋊C4—102no—
1190C22⋊C4—201no—
1191C22⋊C4—201no—
1192C22⋊C4—201no—
1193C22⋊C4—201no—
1194C22⋊C4—201no—
1195C22⋊C4—201no—
1196C22⋊C4—201no—
1197C22⋊C4—201no—
1198C22⋊C4—201no—
1199C22⋊C4—201no—
1200C22⋊C4—201no—
1201C22⋊C4—201no—
1202C42—41no—
1203C42—41no—
1204C42—201no—
1205C42—201no—
1206C42—201no—
1207C42—201no—
1208C42—201no—
1209C42—201no—
1210C2×C5—24no—
1211C2×C5C2×#54111yescharacteristic
1212C2×C5#349011yescharacteristic
1213C2×C5#349311yescharacteristic
1214C2×C5#353511yescharacteristic
1215C2×C5#353511yescharacteristic
1216C2×C5#353511yescharacteristic
1217C2×C5#353511yescharacteristic
1218D5—42no—
1219D5—42no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—52no—
1225C23—52no—
1226C23—108no—
1227C23—101no—
1228C23—101no—
1229C23—101no—
1230C23—101no—
1231C23—101no—
1232C23—101no—
1233C23—101no—
1234C23—101no—
1235C23—101no—
1236C23—101no—
1237C23—101no—
1238C23—101no—
1239C23—204no—
1240C23—204no—
1241C23—204no—
1242C23—204no—
1243C23—204no—
1244C23—204no—
1245C23#414712yes—
1246C23D5×#4112yes—
1247C23#415012yes—
1248C23C24×D511yescharacteristic
1249Q8—402no—
1250Q8—402no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—44no—
1294C2×C4—52no—
1295C2×C4—52no—
1296C2×C4—82no—
1297C2×C4—82no—
1298C2×C4—101no—
1299C2×C4—101no—
1300C2×C4—101no—
1301C2×C4—101no—
1302C2×C4—101no—
1303C2×C4—101no—
1304C2×C4—101no—
1305C2×C4—101no—
1306C2×C4—101no—
1307C2×C4—101no—
1308C2×C4—101no—
1309C2×C4—101no—
1310C2×C4—101no—
1311C2×C4—101no—
1312C2×C4—101no—
1313C2×C4—101no—
1314C2×C4—101no—
1315C2×C4—101no—
1316C2×C4—101no—
1317C2×C4—101no—
1318C2×C4—101no—
1319C2×C4—101no—
1320C2×C4—101no—
1321C2×C4—101no—
1322C2×C4—101no—
1323C2×C4—101no—
1324C2×C4—101no—
1325C2×C4—101no—
1326C2×C4—101no—
1327C2×C4—101no—
1328C2×C4—101no—
1329C2×C4—101no—
1330C2×C4—101no—
1331C2×C4—101no—
1332C2×C4—101no—
1333C2×C4—101no—
1334C2×C4—101no—
1335C2×C4—101no—
1336C2×C4—101no—
1337C2×C4—101no—
1338C2×C4—204no—
1339C2×C4—204no—
1340C2×C4—204no—
1341C2×C4—204no—
1342C2×C4—204no—
1343C2×C4—402no—
1344C2×C4—402no—
1345C5#3673211yescharacteristic, complemented, Sylow
1346C22—22no—
1347C22—22no—
1348C22—22no—
1349C22—22no—
1350C22—22no—
1351C22—22no—
1352C22—102no—
1353C22—102no—
1354C22—102no—
1355C22—102no—
1356C22—102no—
1357C22—102no—
1358C22—2016no—
1359C22—201no—
1360C22—201no—
1361C22—201no—
1362C22—201no—
1363C22—201no—
1364C22—201no—
1365C22—201no—
1366C22—201no—
1367C22#6603014yes—
1368C22C2×#414711yescharacteristic
1369C22C2×D5×#4111yescharacteristic
1370C22C2×#415011yescharacteristic
1371C22#6628311yescharacteristic
1372C22#6628311yescharacteristic
1373C22D5×H(5,𝔽2)11yescharacteristic
1374C22D5×H(5,𝔽2)11yescharacteristic
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C4—41no—
1382C4—41no—
1383C4—41no—
1384C4—41no—
1385C4—41no—
1386C4—41no—
1387C4—41no—
1388C4—41no—
1389C4—102no—
1390C4—102no—
1391C4—201no—
1392C4—201no—
1393C4—201no—
1394C4—201no—
1395C4—201no—
1396C4—201no—
1397C4—201no—
1398C4—201no—
1399C4—201no—
1400C4—201no—
1401C4—201no—
1402C4—201no—
1403C2—24no—
1404C2—202no—
1405C2—202no—
1406C2C2×#6603011yescharacteristic
1407C2#1061802211yescharacteristic
1408C2#1061831511yescharacteristic
1409C2#1061872211yescharacteristic
1410C2#1061872211yescharacteristic
1411C2#1061885211yescharacteristic
1412C2#1061885211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2505C2
prime radicalC24×D5C23
hypercenter#2505D5
hypocenterC5#36732
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2505

Complements

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

NH ≅ G/Ntype
1. C5×#2505C2semidirect
2. #10610116C2semidirect
3. #10610115C2semidirect
4. #10610109C2semidirect
5. #10610108C2semidirect
6. #10610098C2semidirect
7. #10610097C2semidirect
8. #10609708C2semidirect
9. #10609707C2semidirect
10. #10607994C2semidirect
11. #10607993C2semidirect
12. #10607144C2semidirect
13. #10607136C2semidirect
14. #10607135C2semidirect
15. #10607126C2semidirect
18. #10606235C2semidirect
19. #10606195C2semidirect
20. #10606194C2semidirect
23. #10606118C2semidirect
24. #10605979C2semidirect
25. #10605978C2semidirect
26. #10605688C2semidirect
29. #10605178C2semidirect
31. #10605086C2semidirect
45. C5×#400C22semidirect
46. C5×#400C22semidirect
47. C5×#400C22semidirect
48. C5×#398C22semidirect
49. C5×#389C22semidirect
50. C5×#387C22semidirect
51. C5×#387C22semidirect
56. C5×#382C22semidirect
82. #65275C22semidirect
83. #65273C22semidirect
84. #65273C22semidirect
85. #65273C22semidirect
86. #65273C22semidirect
87. #65272C22semidirect
88. #65271C22semidirect
89. #65271C22semidirect
90. #65269C22semidirect
91. #65269C22semidirect
92. #65268C22semidirect
93. #65268C22semidirect
94. #65267C22semidirect
95. #65267C22semidirect
96. #65266C22semidirect
97. #65263C22semidirect
98. #65262C22semidirect
99. #65262C22semidirect
100. #65261C22semidirect
101. #65261C22semidirect
119. #65222C22semidirect
120. #65222C22semidirect
121. #65218C22semidirect
122. #65217C22semidirect
155. #64949C22semidirect
156. #64949C22semidirect
157. #64948C22semidirect
158. #64948C22semidirect
159. #64947C22semidirect
160. #64947C22semidirect
161. #64947C22semidirect
162. #64947C22semidirect
163. #64947C22semidirect
164. #64947C22semidirect
165. #64946C22semidirect
166. #64946C22semidirect
167. #64946C22semidirect
168. #64946C22semidirect
169. #64945C22semidirect
170. #64945C22semidirect
171. #64944C22semidirect
172. #64944C22semidirect
173. #64943C22semidirect
174. #64943C22semidirect
175. #64942C22semidirect
176. #64942C22semidirect
177. #64941C22semidirect
178. #64941C22semidirect
179. #64941C22semidirect
180. #64941C22semidirect
181. #64939C22semidirect
182. #64939C22semidirect
183. #64936C22semidirect
184. #64936C22semidirect
185. #64935C22semidirect
186. #64935C22semidirect
381. #2505D5semidirect
572. #400C2×D5semidirect
573. #400C2×D5semidirect
574. #400C2×D5semidirect
586. #398C2×D5semidirect
618. #389C2×D5semidirect
645. #387C2×D5semidirect
646. #387C2×D5semidirect
670. #382C2×D5semidirect
1345. C5#36732semidirect

Maximal subgroups

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

subgroupindex
C5×#25052
#106101162
#106101152
#106101092
#106101082
#106100982
#106100972
#106097082
#106097072
#106079942
#106079932
#106071442
#106071362
#106071352
#106071262
#106063862
#106062352
#106061952
#106061942
#106061842
#106061832
#106061182
#106059792
#106059782
#106056882
#106056402
#106053272
#106051782
C2×#649532
#106050862
#367325