Finite Group Databasebeta

← #12306464

Subgroups — #12306464

Order 1280.

1854 conjugacy classes of subgroups.

The subgroup lattice has 1442 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2747C211yesmaximal, characteristic, complemented
2#10610099C211yesmaximal, characteristic, complemented
3#10610094C211yesmaximal, characteristic, complemented
4#10609968C211yesmaximal, characteristic, complemented
5#10609872C211yesmaximal, characteristic, complemented
6#10609697C211yesmaximal, characteristic, complemented
7#10609596C211yesmaximal, characteristic, complemented
8#10609595C211yesmaximal, characteristic, complemented
9#10609489C211yesmaximal, characteristic, complemented
10#10609334C211yesmaximal, characteristic, complemented
11#10609333C211yesmaximal, characteristic, complemented
12#10609212C211yesmaximal, characteristic
13#10609212C211yesmaximal, characteristic
14#10607416C211yesmaximal, characteristic, complemented
15#10607415C211yesmaximal, characteristic, complemented
16#10607272C211yesmaximal, characteristic
17#10607270C211yesmaximal, characteristic
18#10607124C211yesmaximal, characteristic, complemented
19#10607031C211yesmaximal, characteristic, complemented
20#10607030C211yesmaximal, characteristic, complemented
21#10606904C211yesmaximal, characteristic, complemented
22#10606904C211yesmaximal, characteristic, complemented
23#10606880C211yesmaximal, characteristic, complemented
24#10606740C211yesmaximal, characteristic, complemented
25#10606739C211yesmaximal, characteristic, complemented
26#10606386C211yesmaximal, characteristic
27#10606254C211yesmaximal, characteristic, complemented
28#10605780C211yesmaximal, characteristic
29D5×#380C211yesmaximal, characteristic
30#10605715C211yesmaximal, characteristic, complemented
31#10605698C211yesmaximal, characteristic, complemented
32C23×C4×D5C2211yescharacteristic
33C2×#4070C2211yescharacteristic
34C2×#4044C2211yescharacteristic
35C2×#4044C2211yescharacteristic
36C2×#4044C2211yescharacteristic
37C2×#4043C2211yescharacteristic
38C2×#4043C2211yescharacteristic
39C2×#4042C2211yescharacteristic
40C2×#4042C2211yescharacteristic
41C2×D5×C4⋊C4C2211yescharacteristic
42C2×D5×C4⋊C4C2211yescharacteristic
43C2×#4036C2211yescharacteristic, complemented
44C2×#4036C2211yescharacteristic, complemented
45C2×#4035C2211yescharacteristic, complemented
46C2×D5×C22⋊C4C2211yescharacteristic
47C2×D5×C22⋊C4C2211yescharacteristic
48C2×#4024C2211yescharacteristic
49C2×#4022C2211yescharacteristic
50C2×#4016C2211yescharacteristic, complemented
51C5×#400C2211yescharacteristic, complemented
52C5×#400C2211yescharacteristic, complemented
53C5×#398C2211yescharacteristic, complemented
54C5×#398C2211yescharacteristic, complemented
55C5×#397C2211yescharacteristic
56C5×#397C2211yescharacteristic
57C5×#388C2211yescharacteristic
58C5×#388C2211yescharacteristic
59C5×#387C2211yescharacteristic, complemented
60C5×#387C2211yescharacteristic, complemented
61C5×#387C2211yescharacteristic, complemented
62C5×#387C2211yescharacteristic, complemented
63C5×#385C2211yescharacteristic
64C5×#380C2211yescharacteristic
65C5×#380C2211yescharacteristic
66#65501C2211yescharacteristic
67#65499C2211yescharacteristic
68#65282C2211yescharacteristic
69#65278C2211yescharacteristic
70#65278C2211yescharacteristic
71#65278C2211yescharacteristic
72#65278C2211yescharacteristic
73#65276C2211yescharacteristic
74#65276C2211yescharacteristic
75#65276C2211yescharacteristic
76#65276C2211yescharacteristic
77#65276C2211yescharacteristic
78#65276C2211yescharacteristic
79#65275C2211yescharacteristic, complemented
80#65274C2211yescharacteristic, complemented
81#65273C2211yescharacteristic, complemented
82#65273C2211yescharacteristic, complemented
83#65273C2211yescharacteristic, complemented
84#65273C2211yescharacteristic, complemented
85#65273C2211yescharacteristic, complemented
86#65272C2211yescharacteristic, complemented
87#65272C2211yescharacteristic, complemented
88#65270C2211yescharacteristic, complemented
89#65269C2211yescharacteristic, complemented
90#65269C2211yescharacteristic, complemented
91#65268C2211yescharacteristic, complemented
92#65267C2211yescharacteristic, complemented
93#65267C2211yescharacteristic, complemented
94#65262C2211yescharacteristic, complemented
95#65261C2211yescharacteristic, complemented
96#65244C2211yescharacteristic
97#65244C2211yescharacteristic
98#65244C2211yescharacteristic
99#65244C2211yescharacteristic
100#65241C2211yescharacteristic
101#65241C2211yescharacteristic
102#65240C2211yescharacteristic
103#65240C2211yescharacteristic
104#65240C2211yescharacteristic
105#65240C2211yescharacteristic
106#65239C2211yescharacteristic
107#65239C2211yescharacteristic
108#65237C2211yescharacteristic
109#65237C2211yescharacteristic
110#65237C2211yescharacteristic
111#65237C2211yescharacteristic
112#65234C2211yescharacteristic
113#65233C2211yescharacteristic
114#65231C2211yescharacteristic
115#65231C2211yescharacteristic
116#65231C2211yescharacteristic
117#65229C2211yescharacteristic
118C4×#685C2211yescharacteristic
119C4×#685C2211yescharacteristic
120#65218C2211yescharacteristic, complemented
121#65217C2211yescharacteristic, complemented
122#65217C2211yescharacteristic, complemented
123#64964C2211yescharacteristic
124#64964C2211yescharacteristic
125#64964C2211yescharacteristic
126#64964C2211yescharacteristic
127#64963C2211yescharacteristic
128#64963C2211yescharacteristic
129#64963C2211yescharacteristic
130#64959C2211yescharacteristic
131#64959C2211yescharacteristic
132#64958C2211yescharacteristic
133#64957C2211yescharacteristic
134#64957C2211yescharacteristic
135#64957C2211yescharacteristic
136#64957C2211yescharacteristic
137#64957C2211yescharacteristic
138#64957C2211yescharacteristic
139#64957C2211yescharacteristic
140#64957C2211yescharacteristic
141#64957C2211yescharacteristic
142#64957C2211yescharacteristic
143#64957C2211yescharacteristic
144#64957C2211yescharacteristic
145#64956C2211yescharacteristic
146#64956C2211yescharacteristic
147#64956C2211yescharacteristic
148#64956C2211yescharacteristic
149#64956C2211yescharacteristic
150#64956C2211yescharacteristic
151#64955C2211yescharacteristic
152#64955C2211yescharacteristic
153D5×#95C2211yescharacteristic
154D5×#95C2211yescharacteristic
155#64950C2211yescharacteristic, complemented
156#64950C2211yescharacteristic, complemented
157#64950C2211yescharacteristic, complemented
158#64950C2211yescharacteristic, complemented
159#64949C2211yescharacteristic, complemented
160#64949C2211yescharacteristic, complemented
161#64948C2211yescharacteristic, complemented
162#64948C2211yescharacteristic, complemented
163#64947C2211yescharacteristic, complemented
164#64946C2211yescharacteristic, complemented
165#64946C2211yescharacteristic, complemented
166#64946C2211yescharacteristic, complemented
167#64946C2211yescharacteristic, complemented
168#64946C2211yescharacteristic, complemented
169#64945C2211yescharacteristic, complemented
170#64945C2211yescharacteristic, complemented
171#64945C2211yescharacteristic, complemented
172#64944C2211yescharacteristic, complemented
173#64944C2211yescharacteristic, complemented
174#64943C2211yescharacteristic, complemented
175#64943C2211yescharacteristic, complemented
176#64942C2211yescharacteristic, complemented
177#64942C2211yescharacteristic, complemented
178#64942C2211yescharacteristic, complemented
179#64941C2211yescharacteristic, complemented
180#64941C2211yescharacteristic, complemented
181#64936C2211yescharacteristic, complemented
182#64936C2211yescharacteristic, complemented
183#64936C2211yescharacteristic, complemented
184#64935C2211yescharacteristic, complemented
185#64935C2211yescharacteristic, complemented
186#64935C2211yescharacteristic, complemented
187#36728—51nomaximal, Sylow
188C24×D5C2311yescharacteristic
189C23×C4×C5C2311yescharacteristic
190C23×Dic5C2311yescharacteristic
191C22×C4×D5—24no—
192C22×C4×D5—42no—
193C22×C4×D5—42no—
194C22×C4×D5C2311yescharacteristic
195C22×C4×D5C2311yescharacteristic
196C22×C4×D5C2311yescharacteristic
197C22×C4×D5C2311yescharacteristic
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×C5×C22⋊C4C2311yescharacteristic
219C2×C5×C22⋊C4C2311yescharacteristic
220C2×C42×C5C2311yescharacteristic
221C2×C42×C5C2311yescharacteristic
222C2×C22⋊Dic5C2311yescharacteristic
223C2×C22⋊Dic5C2311yescharacteristic
224C2×C22⋊Dic5C2311yescharacteristic
225C2×C22⋊Dic5C2311yescharacteristic
226C2×C22⋊Dic5C2311yescharacteristic
227C2×C22⋊Dic5C2311yescharacteristic
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×C4⋊Dic5C2311yescharacteristic
249C2×C4⋊Dic5C2311yescharacteristic
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×C4⋊Dic5C2311yescharacteristic
259C2×C4⋊Dic5C2311yescharacteristic
260C2×C4⋊Dic5C2311yescharacteristic
261C2×C4⋊Dic5C2311yescharacteristic
262C2×C4⋊Dic5C2311yescharacteristic
263C2×C4⋊Dic5C2311yescharacteristic
264#4070—42no—
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×#683C2311yescharacteristic
283C2×#683C2311yescharacteristic
284C2×#683C2311yescharacteristic
285C2×#683C2311yescharacteristic
286C2×#683C2311yescharacteristic
287C2×#683C2311yescharacteristic
288C2×#683C2311yescharacteristic
289C2×C4×Dic5C2311yescharacteristic
290C2×C4×Dic5C2311yescharacteristic
291C2×C4×Dic5C2311yescharacteristic
292C2×C4×Dic5C2311yescharacteristic
293C2×C4×Dic5C2311yescharacteristic
294C2×C4×Dic5C2311yescharacteristic
295#4044—42no—
296#4044—42no—
297#4044—42no—
298#4043—24no—
299#4043—42no—
300#4042—24no—
301#4042—42no—
302D5×C4⋊C4—42no—
303D5×C4⋊C4—42no—
304#4036—42no—
305#4036—42no—
306#4035—42no—
307D5×C22⋊C4—42no—
308D5×C22⋊C4—42no—
309#4024—42no—
310#4022—42no—
311#4016—42no—
312C5×#95C2311yescharacteristic
313C5×#95C2311yescharacteristic
314C5×#95C2311yescharacteristic
315C5×#95C2311yescharacteristic
316C5×#95C2311yescharacteristic
317C5×#95C2311yescharacteristic
318C5×#95C2311yescharacteristic
319C5×#95C2311yescharacteristic
320C5×#95C2311yescharacteristic
321C5×#95C2311yescharacteristic
322C5×#95C2311yescharacteristic
323C5×#95C2311yescharacteristic
324C5×#95C2311yescharacteristic
325C5×#95C2311yescharacteristic
326C5×#95C2311yescharacteristic
327C5×#95C2311yescharacteristic
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#3963C2311yescharacteristic
359#3963C2311yescharacteristic
360#3963C2311yescharacteristic
361#3963C2311yescharacteristic
362#3963C2311yescharacteristic
363#3963C2311yescharacteristic
364#2848—51no—
365#2848—51no—
366#2747—51no—
367#2747—51no—
368#2747—51no—
369#2747D511yescharacteristic, complemented
370#2722—51no—
371#2722—51no—
372#2722—51no—
373#2722—51no—
374#2704—51no—
375#2704—51no—
376#2704—51no—
377#2704—51no—
378#2690—51no—
379#2690—51no—
380#2690—51no—
381#2690—51no—
382#2659—51no—
383#2646—51no—
384#2480—51no—
385#2480—51no—
386#2480—51no—
387#2480—51no—
388#2473—51no—
389#2473—51no—
390#2473—51no—
391#2473—51no—
392#2329—51no—
393#2329—51no—
394C2×#380—51no—
395C24×C5C2411yescharacteristic
396C23×D5—22no—
397C23×D5—22no—
398C23×D5—22no—
399C23×D5—22no—
400C23×D5—22no—
401C23×D5—41no—
402C23×D5—41no—
403C23×D5C2411yescharacteristic
404C23×D5C2411yescharacteristic
405C22×C4×C5—22no—
406C22×C4×C5—22no—
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×Dic5C2411yescharacteristic
426C22×Dic5C2411yescharacteristic
427C22×Dic5C2411yescharacteristic
428C22×Dic5C2411yescharacteristic
429C22×Dic5C2411yescharacteristic
430C22×Dic5C2411yescharacteristic
431C22×Dic5C2411yescharacteristic
432C22×Dic5C2411yescharacteristic
433C22×Dic5C2411yescharacteristic
434C22×Dic5C2411yescharacteristic
435C22×Dic5C2411yescharacteristic
436C22×Dic5C2411yescharacteristic
437C22×Dic5C2411yescharacteristic
438C22×Dic5C2411yescharacteristic
439C2×C4×D5—22no—
440C2×C4×D5—22no—
441C2×C4×D5—22no—
442C2×C4×D5—22no—
443C2×C4×D5—22no—
444C2×C4×D5—22no—
445C2×C4×D5—22no—
446C2×C4×D5—22no—
447C2×C4×D5—22no—
448C2×C4×D5—22no—
449C2×C4×D5—22no—
450C2×C4×D5—416no—
451C2×C4×D5—41no—
452C2×C4×D5—41no—
453C2×C4×D5—41no—
454C2×C4×D5—41no—
455C2×C4×D5—41no—
456C2×C4×D5—41no—
457C2×C4×D5—41no—
458C2×C4×D5—41no—
459C2×C4×D5—41no—
460C2×C4×D5—41no—
461C2×C4×D5—41no—
462C2×C4×D5—41no—
463C2×C4×D5#4114yes—
464C2×Dic10—22no—
465C2×Dic10—22no—
466C2×Dic10—41no—
467C2×Dic10—41no—
468C2×Dic10—41no—
469C2×Dic10—41no—
470C5×C4⋊C4—22no—
471C5×C4⋊C4—22no—
472C5×C4⋊C4—22no—
473C5×C4⋊C4—22no—
474C5×C4⋊C4—41no—
475C5×C4⋊C4—41no—
476C5×C4⋊C4—41no—
477C5×C4⋊C4—41no—
478C5×C4⋊C4—41no—
479C5×C4⋊C4—41no—
480C5×C22⋊C4—22no—
481C5×C22⋊C4—22no—
482C5×C22⋊C4—22no—
483C5×C22⋊C4—41no—
484C5×C22⋊C4—41no—
485C5×C22⋊C4—41no—
486C42×C5—41no—
487C42×C5—41no—
488C22⋊Dic5—22no—
489C22⋊Dic5—41no—
490C22⋊Dic5—41no—
491C22⋊Dic5—41no—
492C22⋊Dic5—41no—
493C22⋊Dic5—41no—
494#685—22no—
495#685—22no—
496#685—22no—
497#685—22no—
498#685—22no—
499#685—22no—
500#685—22no—
501#685—22no—
502#685—22no—
503#685—22no—
504#685—22no—
505#685—22no—
506#685—22no—
507#685—22no—
508#685—22no—
509#685—22no—
510#685—41no—
511#685—41no—
512#685—41no—
513#685—41no—
514C4⋊Dic5—22no—
515C4⋊Dic5—22no—
516C4⋊Dic5—22no—
517C4⋊Dic5—22no—
518C4⋊Dic5—22no—
519C4⋊Dic5—22no—
520C4⋊Dic5—41no—
521C4⋊Dic5—41no—
522C4⋊Dic5—41no—
523C4⋊Dic5—41no—
524C4⋊Dic5—41no—
525C4⋊Dic5—41no—
526C4⋊Dic5—41no—
527C4⋊Dic5—41no—
528C4⋊Dic5—41no—
529C4⋊Dic5—41no—
530#683—22no—
531#683—22no—
532#683—22no—
533#683—22no—
534#683—22no—
535#683—22no—
536#683—22no—
537#683—22no—
538#683—41no—
539#683—41no—
540#683—41no—
541#683—41no—
542#683—41no—
543#683—41no—
544#683—41no—
545#683—41no—
546#683—41no—
547#683—41no—
548#683—41no—
549#683—41no—
550#683—41no—
551#683—41no—
552#683—41no—
553#683—41no—
554C4×Dic5—41no—
555C4×Dic5—41no—
556C4×Dic5—41no—
557C4×Dic5—41no—
558C4×Dic5—41no—
559C4×Dic5—41no—
560C24×C4—51no—
561C2×#126—51no—
562C2×#126—51no—
563C2×#126—51no—
564C2×#126—51no—
565C2×#125—51no—
566C2×#125—51no—
567C2×#125—51no—
568C2×#125—51no—
569C2×C22⋊Q8—51no—
570C2×C22⋊Q8—51no—
571C2×C22⋊Q8—51no—
572C2×C22⋊Q8—51no—
573C2×C22⋊Q8—51no—
574C2×C22⋊Q8—51no—
575C22×C4⋊C4—51no—
576C22×C4⋊C4—51no—
577C22×C22⋊C4—51no—
578C22×C22⋊C4—51no—
579#400—51no—
580#400—51no—
581#400—51no—
582#400—51no—
583#400—51no—
584#400—51no—
585#400C2×D511yescharacteristic, complemented
586#400C2×D511yescharacteristic, complemented
587#398—51no—
588#398—51no—
589#398—51no—
590#398—51no—
591#398—51no—
592#398—51no—
593#398—51no—
594#398—51no—
595#398—51no—
596#398—51no—
597#398—51no—
598#398—51no—
599#398—51no—
600#398—51no—
601#398—51no—
602#398—51no—
603#398—51no—
604#398—51no—
605#398C2×D511yescharacteristic, complemented
606#398C2×D511yescharacteristic, complemented
607#397—51no—
608#397—51no—
609#397—51no—
610#397—51no—
611#397—51no—
612#397—51no—
613#397—51no—
614#397—51no—
615#397—51no—
616#397—51no—
617#397C2×D511yescharacteristic
618#397C2×D511yescharacteristic
619#396—51no—
620#396—51no—
621#396—51no—
622#396—51no—
623#395—51no—
624#395—51no—
625#395—51no—
626#395—51no—
627#391—51no—
628#391—51no—
629#391—51no—
630#391—51no—
631#389—51no—
632#389—51no—
633#389—51no—
634#389—51no—
635#389—51no—
636#389—51no—
637#389—51no—
638#389—51no—
639#388—51no—
640#388—51no—
641#388—51no—
642#388—51no—
643#388—51no—
644#388—51no—
645#388—51no—
646#388—51no—
647#388—51no—
648#388—51no—
649#388C2×D511yescharacteristic
650#388C2×D511yescharacteristic
651#387—51no—
652#387—51no—
653#387—51no—
654#387—51no—
655#387—51no—
656#387—51no—
657#387—51no—
658#387—51no—
659#387—51no—
660#387—51no—
661#387—51no—
662#387—51no—
663#387C2×D511yescharacteristic, complemented
664#387C2×D511yescharacteristic, complemented
665#387C2×D511yescharacteristic, complemented
666#387C2×D511yescharacteristic, complemented
667#385—51no—
668#385—51no—
669#385—51no—
670#385—51no—
671#385—51no—
672#385—51no—
673#385—51no—
674#385—51no—
675#385—51no—
676#385—51no—
677#385—51no—
678#385—51no—
679#385—51no—
680#385—51no—
681#385—51no—
682#385—51no—
683#385—51no—
684#385—51no—
685#385—51no—
686#385C2×D511yescharacteristic
687#380—51no—
688#380—51no—
689#380—51no—
690#380—51no—
691#380—51no—
692#380—51no—
693#380—51no—
694#380—51no—
695#380—51no—
696#380—51no—
697#380—51no—
698#380—51no—
699#380—51no—
700#380—51no—
701#380—51no—
702#380—51no—
703#380C2×D511yescharacteristic
704#380C2×D511yescharacteristic
705#379—51no—
706#379—51no—
707#379—51no—
708#379—51no—
709C4×C22⋊C4—51no—
710C4×C22⋊C4—51no—
711C4×C22⋊C4—51no—
712C4×C22⋊C4—51no—
713C2×#95—51no—
714C2×#95—51no—
715C23×C5—21no—
716C23×C5—21no—
717C23×C5—21no—
718C23×C5—21no—
719C23×C5—21no—
720C23×C5—21no—
721C23×C52−1+412yes—
722C23×C5C2511yescharacteristic
723C22×D5—21no—
724C22×D5—21no—
725C22×D5—21no—
726C22×D5—21no—
727C22×D5—28no—
728C22×D5—21no—
729C22×D5—21no—
730C22×D5—21no—
731C22×D5—21no—
732C22×D5—21no—
733C22×D5—21no—
734C22×D5—44no—
735C22×D5—44no—
736C22×D5—44no—
737C22×D5—44no—
738C22×D5—44no—
739C22×D5—44no—
740C22×D5C2×#4112yes—
741C22×D5H(5,𝔽2)12yes—
742C22×D52−1+412yes—
743C22×D52−1+412yes—
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—21no—
773C2×C4×C5—21no—
774C2×C4×C5—21no—
775C2×C4×C5—21no—
776C2×C4×C5—21no—
777C2×C4×C5—21no—
778C2×C4×C5—21no—
779C2×C4×C5—21no—
780C2×C4×C5—21no—
781C2×C4×C5—21no—
782C2×C4×C5—21no—
783C2×C4×C5—21no—
784C2×C4×C5—44no—
785C2×C4×C5C2×#4112yes—
786C2×C4×C5H(5,𝔽2)12yes—
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—21no—
816C2×Dic5—21no—
817C2×Dic5—21no—
818C2×Dic5—21no—
819C2×Dic5—21no—
820C2×Dic5—21no—
821C2×Dic5—21no—
822C2×Dic5—21no—
823C2×Dic5—21no—
824C2×Dic5—21no—
825C2×Dic5—21no—
826C2×Dic5—21no—
827C2×Dic5—44no—
828C2×Dic5C2×#4112yes—
829C2×Dic5H(5,𝔽2)12yes—
830C4×D5—28no—
831C4×D5—44no—
832C4×D5—44no—
833C4×D5—44no—
834C4×D5—82no—
835C4×D5—82no—
836C4×D5—82no—
837C4×D5—82no—
838Dic10—82no—
839Dic10—82no—
840C25—51no—
841C22×Q8—51no—
842C22×Q8—51no—
843C23×C4—51no—
844C23×C4—51no—
845C23×C4—51no—
846C23×C4—51no—
847C23×C4—51no—
848C23×C4—51no—
849C23×C4—51no—
850C23×C4—51no—
851C23×C4—51no—
852C23×C4—104no—
853C23×C4—202no—
854C23×C4—202no—
855C23×C4C22×D511yescharacteristic
856#126—202no—
857#126—202no—
858#126—202no—
859#126—202no—
860#125—202no—
861#125—202no—
862#125—202no—
863#125—202no—
864C22⋊Q8—104no—
865C22⋊Q8—104no—
866C22⋊Q8—202no—
867C22⋊Q8—202no—
868C22⋊Q8—202no—
869C22⋊Q8—202no—
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⋊C4—51no—
885C2×C4⋊C4—51no—
886C2×C4⋊C4—51no—
887C2×C4⋊C4—51no—
888C2×C4⋊C4—51no—
889C2×C4⋊C4—51no—
890C2×C4⋊C4—51no—
891C2×C4⋊C4—51no—
892C2×C4⋊C4—51no—
893C2×C4⋊C4—51no—
894C2×C4⋊C4—51no—
895C2×C4⋊C4—51no—
896C2×C4⋊C4—51no—
897C2×C4⋊C4—51no—
898C2×C4⋊C4—51no—
899C2×C4⋊C4—51no—
900C2×C4⋊C4—51no—
901C2×C4⋊C4—51no—
902C2×C4⋊C4—51no—
903C2×C4⋊C4—51no—
904C2×C4⋊C4—51no—
905C2×C4⋊C4—51no—
906C2×C4⋊C4—51no—
907C2×C4⋊C4—51no—
908C2×C4⋊C4—51no—
909C2×C4⋊C4—51no—
910C2×C4⋊C4—202no—
911C2×C4⋊C4—202no—
912C2×C4⋊C4C22×D511yescharacteristic
913C2×C4⋊C4C22×D511yescharacteristic
914C2×C4⋊C4C22×D511yescharacteristic
915C2×C4⋊C4C22×D511yescharacteristic
916C2×C4⋊C4C22×D511yescharacteristic
917C2×C4⋊C4C22×D511yescharacteristic
918C2×C4⋊C4C22×D511yescharacteristic
919C2×C4⋊C4C22×D511yescharacteristic
920C2×C4⋊C4C22×D511yescharacteristic
921C2×C4⋊C4C22×D511yescharacteristic
922C2×C22⋊C4—51no—
923C2×C22⋊C4—51no—
924C2×C22⋊C4—51no—
925C2×C22⋊C4—51no—
926C2×C22⋊C4—51no—
927C2×C22⋊C4—51no—
928C2×C22⋊C4—51no—
929C2×C22⋊C4—51no—
930C2×C22⋊C4—51no—
931C2×C22⋊C4—51no—
932C2×C22⋊C4—51no—
933C2×C22⋊C4—51no—
934C2×C22⋊C4—51no—
935C2×C22⋊C4—51no—
936C2×C22⋊C4—51no—
937C2×C22⋊C4—51no—
938C2×C22⋊C4—51no—
939C2×C22⋊C4—51no—
940C2×C22⋊C4—51no—
941C2×C22⋊C4—51no—
942C2×C22⋊C4—51no—
943C2×C22⋊C4—51no—
944C2×C22⋊C4—51no—
945C2×C22⋊C4—51no—
946C2×C22⋊C4—51no—
947C2×C22⋊C4—51no—
948C2×C22⋊C4—202no—
949C2×C22⋊C4—202no—
950C2×C22⋊C4C22×D511yescharacteristic
951C2×C22⋊C4C22×D511yescharacteristic
952C2×C22⋊C4C22×D511yescharacteristic
953C2×C22⋊C4C22×D511yescharacteristic
954C2×C22⋊C4C22×D511yescharacteristic
955C2×C22⋊C4C22×D511yescharacteristic
956C2×C42—51no—
957C2×C42—51no—
958C2×C42—51no—
959C2×C42—51no—
960C2×C42—51no—
961C2×C42—51no—
962C2×C42C22×D511yescharacteristic
963C2×C42C22×D511yescharacteristic
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#95—51no—
981#95—51no—
982#95—51no—
983#95—51no—
984#95—51no—
985#95—51no—
986#95—51no—
987#95—51no—
988#95—51no—
989#95—51no—
990#95—51no—
991#95—51no—
992#95—51no—
993#95—51no—
994#95—51no—
995#95—51no—
996#95—51no—
997#95—51no—
998#95—51no—
999#95—51no—
1000#95C22×D511yescharacteristic
1001#95C22×D511yescharacteristic
1002#95C22×D511yescharacteristic
1003#95C22×D511yescharacteristic
1004#95C22×D511yescharacteristic
1005#95C22×D511yescharacteristic
1006#95C22×D511yescharacteristic
1007#95C22×D511yescharacteristic
1008#95C22×D511yescharacteristic
1009#95C22×D511yescharacteristic
1010#95C22×D511yescharacteristic
1011#95C22×D511yescharacteristic
1012#95C22×D511yescharacteristic
1013#95C22×D511yescharacteristic
1014#95C22×D511yescharacteristic
1015#95C22×D511yescharacteristic
1016C22×C5—22no—
1017C22×C5—22no—
1018C22×C5—22no—
1019C22×C5—41no—
1020C22×C5—41no—
1021C22×C5—41no—
1022C22×C5—41no—
1023C22×C5C22×#4111yescharacteristic
1024C22×C5C2×H(5,𝔽2)11yescharacteristic
1025C22×C5C2×H(5,𝔽2)11yescharacteristic
1026C22×C5C2×H(5,𝔽2)11yescharacteristic
1027C22×C5C2×2−1+411yescharacteristic
1028C22×C5C2×2−1+411yescharacteristic
1029C22×C5C2×2−1+411yescharacteristic
1030C2×D5—22no—
1031C2×D5—22no—
1032C2×D5—22no—
1033C2×D5—22no—
1034C2×D5—22no—
1035C2×D5—22no—
1036C2×D5—22no—
1037C2×D5—22no—
1038C2×D5—22no—
1039C2×D5—416no—
1040C2×D5—41no—
1041C2×D5—41no—
1042C2×D5—41no—
1043C2×D5—41no—
1044C2×D5#54114yes—
1045C4×C5—22no—
1046C4×C5—22no—
1047C4×C5—41no—
1048C4×C5—41no—
1049C4×C5—41no—
1050C4×C5—41no—
1051C4×C5—41no—
1052C4×C5—41no—
1053C4×C5—41no—
1054C4×C5—41no—
1055C4×C5—41no—
1056C4×C5—41no—
1057C4×C5—41no—
1058C4×C5—41no—
1059Dic5—22no—
1060Dic5—22no—
1061Dic5—41no—
1062Dic5—41no—
1063Dic5—41no—
1064Dic5—41no—
1065Dic5—41no—
1066Dic5—41no—
1067Dic5—41no—
1068Dic5—41no—
1069Dic5—41no—
1070Dic5—41no—
1071Dic5—41no—
1072Dic5—41no—
1073C24—51no—
1074C24—51no—
1075C24—102no—
1076C24—102no—
1077C24—102no—
1078C24—102no—
1079C24—102no—
1080C24—201no—
1081C24—201no—
1082C24C23×D511yescharacteristic
1083C2×Q8—102no—
1084C2×Q8—102no—
1085C2×Q8—201no—
1086C2×Q8—201no—
1087C2×Q8—201no—
1088C2×Q8—201no—
1089C22×C4—22no—
1090C22×C4—22no—
1091C22×C4—41no—
1092C22×C4—51no—
1093C22×C4—51no—
1094C22×C4—54no—
1095C22×C4—51no—
1096C22×C4—51no—
1097C22×C4—51no—
1098C22×C4—51no—
1099C22×C4—51no—
1100C22×C4—51no—
1101C22×C4—51no—
1102C22×C4—51no—
1103C22×C4—51no—
1104C22×C4—51no—
1105C22×C4—51no—
1106C22×C4—51no—
1107C22×C4—102no—
1108C22×C4—102no—
1109C22×C4—102no—
1110C22×C4—102no—
1111C22×C4—102no—
1112C22×C4—102no—
1113C22×C4—102no—
1114C22×C4—102no—
1115C22×C4—102no—
1116C22×C4—102no—
1117C22×C4—102no—
1118C22×C4—102no—
1119C22×C4—102no—
1120C22×C4—201no—
1121C22×C4—201no—
1122C22×C4—201no—
1123C22×C4—201no—
1124C22×C4—201no—
1125C22×C4—201no—
1126C22×C4—201no—
1127C22×C4—201no—
1128C22×C4—201no—
1129C22×C4—201no—
1130C22×C4—201no—
1131C22×C4—201no—
1132C22×C4—2016no—
1133C22×C4—201no—
1134C22×C4C23×D511yescharacteristic
1135C22×C4C23×D511yescharacteristic
1136C22×C4C23×D511yescharacteristic
1137C22×C4C23×D511yescharacteristic
1138C22×C4C23×D511yescharacteristic
1139C22×C4C23×D511yescharacteristic
1140C22×C4C23×D511yescharacteristic
1141C22×C4C23×D511yescharacteristic
1142C22×C4C23×D511yescharacteristic
1143C22×C4C23×D511yescharacteristic
1144C22×C4C23×D511yescharacteristic
1145C22×C4C23×D511yescharacteristic
1146C22×C4C23×D511yescharacteristic
1147C22×C4C23×D511yescharacteristic
1148C4⋊C4—22no—
1149C4⋊C4—22no—
1150C4⋊C4—22no—
1151C4⋊C4—22no—
1152C4⋊C4—41no—
1153C4⋊C4—41no—
1154C4⋊C4—41no—
1155C4⋊C4—41no—
1156C4⋊C4—41no—
1157C4⋊C4—41no—
1158C4⋊C4—102no—
1159C4⋊C4—102no—
1160C4⋊C4—102no—
1161C4⋊C4—102no—
1162C4⋊C4—102no—
1163C4⋊C4—102no—
1164C4⋊C4—102no—
1165C4⋊C4—102no—
1166C4⋊C4—102no—
1167C4⋊C4—102no—
1168C4⋊C4—102no—
1169C4⋊C4—102no—
1170C4⋊C4—102no—
1171C4⋊C4—102no—
1172C4⋊C4—201no—
1173C4⋊C4—201no—
1174C4⋊C4—201no—
1175C4⋊C4—201no—
1176C4⋊C4—201no—
1177C4⋊C4—201no—
1178C4⋊C4—201no—
1179C4⋊C4—201no—
1180C4⋊C4—201no—
1181C4⋊C4—201no—
1182C4⋊C4—201no—
1183C4⋊C4—201no—
1184C4⋊C4—201no—
1185C4⋊C4—201no—
1186C4⋊C4—201no—
1187C4⋊C4—201no—
1188C4⋊C4—201no—
1189C4⋊C4—201no—
1190C4⋊C4—201no—
1191C4⋊C4—201no—
1192C4⋊C4—201no—
1193C4⋊C4—201no—
1194C4⋊C4—201no—
1195C4⋊C4—201no—
1196C4⋊C4—201no—
1197C4⋊C4—201no—
1198C22⋊C4—22no—
1199C22⋊C4—22no—
1200C22⋊C4—22no—
1201C22⋊C4—41no—
1202C22⋊C4—41no—
1203C22⋊C4—41no—
1204C22⋊C4—102no—
1205C22⋊C4—102no—
1206C22⋊C4—102no—
1207C22⋊C4—102no—
1208C22⋊C4—102no—
1209C22⋊C4—102no—
1210C22⋊C4—102no—
1211C22⋊C4—102no—
1212C22⋊C4—102no—
1213C22⋊C4—102no—
1214C22⋊C4—102no—
1215C22⋊C4—102no—
1216C22⋊C4—102no—
1217C22⋊C4—102no—
1218C22⋊C4—102no—
1219C22⋊C4—102no—
1220C22⋊C4—102no—
1221C22⋊C4—201no—
1222C22⋊C4—201no—
1223C22⋊C4—201no—
1224C22⋊C4—201no—
1225C22⋊C4—201no—
1226C22⋊C4—201no—
1227C22⋊C4—201no—
1228C22⋊C4—201no—
1229C22⋊C4—201no—
1230C42—41no—
1231C42—41no—
1232C42—201no—
1233C42—201no—
1234C42—201no—
1235C42—201no—
1236C42—201no—
1237C42—201no—
1238C2×C5—42no—
1239C2×C5C2×#54111yescharacteristic
1240C2×C5#349011yescharacteristic
1241C2×C5#349211yescharacteristic
1242C2×C5#353611yescharacteristic
1243C2×C5#353611yescharacteristic
1244C2×C5#353811yescharacteristic
1245C2×C5#353811yescharacteristic
1246D5—24no—
1247D5—42no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—52no—
1255C23—52no—
1256C23—52no—
1257C23—52no—
1258C23—108no—
1259C23—101no—
1260C23—101no—
1261C23—101no—
1262C23—101no—
1263C23—101no—
1264C23—101no—
1265C23—101no—
1266C23—101no—
1267C23—101no—
1268C23—101no—
1269C23—204no—
1270C23—204no—
1271C23—204no—
1272C23—204no—
1273C23—204no—
1274C23—204no—
1275C23#415012yes—
1276C23C24×D511yescharacteristic
1277Q8—402no—
1278Q8—402no—
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—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—44no—
1320C2×C4—52no—
1321C2×C4—52no—
1322C2×C4—108no—
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—101no—
1339C2×C4—101no—
1340C2×C4—101no—
1341C2×C4—101no—
1342C2×C4—101no—
1343C2×C4—101no—
1344C2×C4—101no—
1345C2×C4—101no—
1346C2×C4—101no—
1347C2×C4—101no—
1348C2×C4—101no—
1349C2×C4—101no—
1350C2×C4—101no—
1351C2×C4—101no—
1352C2×C4—101no—
1353C2×C4—101no—
1354C2×C4—101no—
1355C2×C4—101no—
1356C2×C4—101no—
1357C2×C4—101no—
1358C2×C4—101no—
1359C2×C4—101no—
1360C2×C4—101no—
1361C2×C4—101no—
1362C2×C4—101no—
1363C2×C4—204no—
1364C2×C4—204no—
1365C2×C4—204no—
1366C2×C4—204no—
1367C2×C4—402no—
1368C2×C4—402no—
1369C2×C4—402no—
1370C2×C4—402no—
1371C2×C4D5×#4112yes—
1372C2×C4#414912yes—
1373C5#3672811yescharacteristic, complemented, Sylow
1374C22—22no—
1375C22—22no—
1376C22—22no—
1377C22—41no—
1378C22—41no—
1379C22—41no—
1380C22—41no—
1381C22—54no—
1382C22—102no—
1383C22—102no—
1384C22—102no—
1385C22—102no—
1386C22—102no—
1387C22—102no—
1388C22—102no—
1389C22—102no—
1390C22—102no—
1391C22—2016no—
1392C22—201no—
1393C22—201no—
1394C22—201no—
1395C22—201no—
1396C22C2×D5×#4111yescharacteristic
1397C22C2×#414911yescharacteristic
1398C22C2×#415011yescharacteristic
1399C22D5×H(5,𝔽2)11yescharacteristic
1400C22D5×H(5,𝔽2)11yescharacteristic
1401C22D5×2−1+411yescharacteristic
1402C22D5×2−1+411yescharacteristic
1403C4—22no—
1404C4—22no—
1405C4—41no—
1406C4—41no—
1407C4—41no—
1408C4—41no—
1409C4—41no—
1410C4—41no—
1411C4—41no—
1412C4—41no—
1413C4—41no—
1414C4—41no—
1415C4—41no—
1416C4—41no—
1417C4—102no—
1418C4—102no—
1419C4—201no—
1420C4—201no—
1421C4—201no—
1422C4—201no—
1423C4—201no—
1424C4—201no—
1425C4—201no—
1426C4—201no—
1427C4—201no—
1428C4—201no—
1429C4—201no—
1430C4—201no—
1431C2—42no—
1432C2—104no—
1433C2—202no—
1434C2#1061833611yescharacteristic
1435C2D5×#54111yescharacteristic
1436C2#1061846211yescharacteristic
1437C2#1061871611yescharacteristic
1438C2#1061876611yescharacteristic
1439C2#1061881011yescharacteristic
1440C2#1061899611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2747C2
prime radicalC24×D5C23
hypercenter#2747D5
hypocenterC5#36728
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2747

Complements

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

NH ≅ G/Ntype
1. C5×#2747C2semidirect
2. #10610099C2semidirect
3. #10610094C2semidirect
4. #10609968C2semidirect
5. #10609872C2semidirect
6. #10609697C2semidirect
7. #10609596C2semidirect
8. #10609595C2semidirect
9. #10609489C2semidirect
10. #10609334C2semidirect
11. #10609333C2semidirect
14. #10607416C2semidirect
15. #10607415C2semidirect
18. #10607124C2semidirect
19. #10607031C2semidirect
20. #10607030C2semidirect
21. #10606904C2semidirect
22. #10606904C2semidirect
23. #10606880C2semidirect
24. #10606740C2semidirect
25. #10606739C2semidirect
27. #10606254C2semidirect
30. #10605715C2semidirect
31. #10605698C2semidirect
43. C2×#4036C22semidirect
44. C2×#4036C22semidirect
45. C2×#4035C22semidirect
50. C2×#4016C22semidirect
51. C5×#400C22semidirect
52. C5×#400C22semidirect
53. C5×#398C22semidirect
54. C5×#398C22semidirect
59. C5×#387C22semidirect
60. C5×#387C22semidirect
61. C5×#387C22semidirect
62. C5×#387C22semidirect
79. #65275C22semidirect
80. #65274C22semidirect
81. #65273C22semidirect
82. #65273C22semidirect
83. #65273C22semidirect
84. #65273C22semidirect
85. #65273C22semidirect
86. #65272C22semidirect
87. #65272C22semidirect
88. #65270C22semidirect
89. #65269C22semidirect
90. #65269C22semidirect
91. #65268C22semidirect
92. #65267C22semidirect
93. #65267C22semidirect
94. #65262C22semidirect
95. #65261C22semidirect
120. #65218C22semidirect
121. #65217C22semidirect
122. #65217C22semidirect
155. #64950C22semidirect
156. #64950C22semidirect
157. #64950C22semidirect
158. #64950C22semidirect
159. #64949C22semidirect
160. #64949C22semidirect
161. #64948C22semidirect
162. #64948C22semidirect
163. #64947C22semidirect
164. #64946C22semidirect
165. #64946C22semidirect
166. #64946C22semidirect
167. #64946C22semidirect
168. #64946C22semidirect
169. #64945C22semidirect
170. #64945C22semidirect
171. #64945C22semidirect
172. #64944C22semidirect
173. #64944C22semidirect
174. #64943C22semidirect
175. #64943C22semidirect
176. #64942C22semidirect
177. #64942C22semidirect
178. #64942C22semidirect
179. #64941C22semidirect
180. #64941C22semidirect
181. #64936C22semidirect
182. #64936C22semidirect
183. #64936C22semidirect
184. #64935C22semidirect
185. #64935C22semidirect
186. #64935C22semidirect
369. #2747D5semidirect
585. #400C2×D5semidirect
586. #400C2×D5semidirect
605. #398C2×D5semidirect
606. #398C2×D5semidirect
663. #387C2×D5semidirect
664. #387C2×D5semidirect
665. #387C2×D5semidirect
666. #387C2×D5semidirect
1373. C5#36728semidirect

Maximal subgroups

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

subgroupindex
C5×#27472
#106100992
#106100942
#106099682
#106098722
#106096972
#106095962
#106095952
#106094892
#106093342
#106093332
#106092122
#106074162
#106074152
#106072722
#106072702
#106071242
#106070312
#106070302
#106069042
#106068802
#106067402
#106067392
#106063862
#106062542
#106057802
D5×#3802
#106057152
#106056982
#367285