Finite Group Databasebeta

← #12271950

Subgroups — #12271950

Order 1280.

2834 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#66026C211yesmaximal, characteristic, complemented
2C22×D5×C4⋊C4C211yesmaximal, characteristic, complemented
3C5×#2473C211yesmaximal, characteristic, complemented
4#10614763C211yesmaximal, characteristic, complemented
5#10613926C211yesmaximal, characteristic, complemented
6#10610090C211yesmaximal, characteristic, complemented
7#10609875C211yesmaximal, characteristic, complemented
8#10609695C211yesmaximal, characteristic, complemented
9#10609694C211yesmaximal, characteristic, complemented
10#10609693C211yesmaximal, characteristic, complemented
11#10609683C211yesmaximal, characteristic, complemented
12#10609682C211yesmaximal, characteristic, complemented
13#10609488C211yesmaximal, characteristic, complemented
14#10607956C211yesmaximal, characteristic, complemented
15#10607927C211yesmaximal, characteristic, complemented
16#10607050C211yesmaximal, characteristic, complemented
17#10607028C211yesmaximal, characteristic, complemented
18#10607027C211yesmaximal, characteristic, complemented
19#10606750C211yesmaximal, characteristic, complemented
20#10606387C211yesmaximal, characteristic, complemented
21#10606387C211yesmaximal, characteristic, complemented
22#10606386C211yesmaximal, characteristic, complemented
23#10606185C211yesmaximal, characteristic, complemented
24#10606153C211yesmaximal, characteristic, complemented
25#10606152C211yesmaximal, characteristic, complemented
26#10606149C211yesmaximal, characteristic, complemented
27#10606110C211yesmaximal, characteristic, complemented
28#10605779C211yesmaximal, characteristic
29#10605639C211yesmaximal, characteristic, complemented
30C4×#4028C211yesmaximal, characteristic, complemented
31#10605234C211yesmaximal, characteristic, complemented
32C23×C4×D5C2211yescharacteristic
33C23×C4×D5C2211yescharacteristic
34C23×C4×D5C2211yescharacteristic
35C2×C5×#125C2211yescharacteristic, complemented
36C22×C5×C4⋊C4C2211yescharacteristic
37C2×#4076C2211yescharacteristic
38C2×C4×C22⋊D5C2211yescharacteristic
39C22×C4⋊Dic5C2211yescharacteristic
40C22×#683C2211yescharacteristic
41C22×#683C2211yescharacteristic
42#66026—28no—
43C2×#4044C2211yescharacteristic, complemented
44C2×#4043C2211yescharacteristic, complemented
45C2×#4042C2211yescharacteristic
46C2×#4042C2211yescharacteristic
47C2×#4042C2211yescharacteristic, complemented
48C2×#4041C2211yescharacteristic
49C2×#4041C2211yescharacteristic
50C2×#4040C2211yescharacteristic
51C2×#4040C2211yescharacteristic
52C2×#4040C2211yescharacteristic
53C2×#4040C2211yescharacteristic
54C2×#4040C2211yescharacteristic, complemented
55C2×#4040C2211yescharacteristic, complemented
56C2×#4039C2211yescharacteristic
57C2×#4039C2211yescharacteristic
58C2×D5×C4⋊C4—28no—
59C2×D5×C4⋊C4C2211yescharacteristic
60C2×D5×C4⋊C4C2211yescharacteristic
61C2×D5×C4⋊C4C2211yescharacteristic
62C2×D5×C4⋊C4C2211yescharacteristic
63C2×D5×C4⋊C4C2211yescharacteristic
64C2×D5×C4⋊C4C2211yescharacteristic
65C2×D5×C4⋊C4C2211yescharacteristic
66C2×D5×C4⋊C4C2211yescharacteristic
67C2×#4035C2211yescharacteristic, complemented
68C2×#4028C2211yescharacteristic
69C2×#4028C2211yescharacteristic
70C2×#4027C2211yescharacteristic
71C2×#4024C2211yescharacteristic
72C2×#4022C2211yescharacteristic, complemented
73C2×C4×D20C2211yescharacteristic
74C2×C4×D20C2211yescharacteristic
75C5×#400C2211yescharacteristic, complemented
76C5×#398C2211yescharacteristic, complemented
77C5×#398C2211yescharacteristic, complemented
78C5×#398C2211yescharacteristic, complemented
79C5×#389C2211yescharacteristic, complemented
80C5×#387C2211yescharacteristic, complemented
81C5×#387C2211yescharacteristic, complemented
82C5×#385C2211yescharacteristic
83C5×#385C2211yescharacteristic
84C5×#385C2211yescharacteristic
85C5×#385C2211yescharacteristic
86C5×#380C2211yescharacteristic
87C4×C5×C22⋊C4C2211yescharacteristic
88#65502C2211yescharacteristic
89#65502C2211yescharacteristic
90#65502C2211yescharacteristic
91#65499C2211yescharacteristic
92#65283C2211yescharacteristic, complemented
93#65283C2211yescharacteristic, complemented
94#65282C2211yescharacteristic, complemented
95#65281C2211yescharacteristic, complemented
96#65281C2211yescharacteristic, complemented
97#65281C2211yescharacteristic, complemented
98#65280C2211yescharacteristic, complemented
99#65279C2211yescharacteristic, complemented
100#65278C2211yescharacteristic
101#65278C2211yescharacteristic
102#65278C2211yescharacteristic
103#65278C2211yescharacteristic
104#65278C2211yescharacteristic
105#65278C2211yescharacteristic
106#65278C2211yescharacteristic
107#65278C2211yescharacteristic
108#65278C2211yescharacteristic, complemented
109#65278C2211yescharacteristic, complemented
110#65276C2211yescharacteristic
111#65276C2211yescharacteristic
112#65275C2211yescharacteristic, complemented
113#65274C2211yescharacteristic, complemented
114#65273C2211yescharacteristic, complemented
115#65273C2211yescharacteristic, complemented
116#65272C2211yescharacteristic, complemented
117#65272C2211yescharacteristic, complemented
118#65270C2211yescharacteristic, complemented
119#65270C2211yescharacteristic, complemented
120#65269C2211yescharacteristic, complemented
121#65268C2211yescharacteristic, complemented
122#65267C2211yescharacteristic, complemented
123#65261C2211yescharacteristic, complemented
124#65247C2211yescharacteristic
125#65247C2211yescharacteristic
126#65247C2211yescharacteristic
127#65247C2211yescharacteristic
128#65247C2211yescharacteristic
129#65244C2211yescharacteristic
130#65244C2211yescharacteristic
131#65239C2211yescharacteristic
132#65235C2211yescharacteristic
133#65235C2211yescharacteristic
134#65231C2211yescharacteristic
135C22⋊C4×Dic5C2211yescharacteristic
136#65229C2211yescharacteristic, complemented
137C4×#685C2211yescharacteristic
138C4×#685C2211yescharacteristic
139#65222C2211yescharacteristic, complemented
140#65222C2211yescharacteristic, complemented
141#64966C2211yescharacteristic, complemented
142#64965C2211yescharacteristic, complemented
143#64965C2211yescharacteristic, complemented
144#64964C2211yescharacteristic, complemented
145#64964C2211yescharacteristic, complemented
146#64963C2211yescharacteristic, complemented
147#64961C2211yescharacteristic, complemented
148#64959C2211yescharacteristic, complemented
149#64958C2211yescharacteristic, complemented
150#64957C2211yescharacteristic
151#64957C2211yescharacteristic
152#64957C2211yescharacteristic
153#64957C2211yescharacteristic
154#64957C2211yescharacteristic, complemented
155#64957C2211yescharacteristic, complemented
156#64956C2211yescharacteristic
157#64956C2211yescharacteristic
158#64955C2211yescharacteristic
159#64955C2211yescharacteristic
160#64954C2211yescharacteristic
161#64954C2211yescharacteristic
162#64954C2211yescharacteristic
163#64954C2211yescharacteristic
164#64954C2211yescharacteristic
165#64954C2211yescharacteristic
166#64954C2211yescharacteristic
167#64954C2211yescharacteristic
168#64954C2211yescharacteristic
169#64954C2211yescharacteristic
170#64954C2211yescharacteristic
171#64954C2211yescharacteristic
172#64953C2211yescharacteristic
173#64953C2211yescharacteristic
174#64953C2211yescharacteristic
175#64953C2211yescharacteristic
176#64949C2211yescharacteristic, complemented
177#64947C2211yescharacteristic, complemented
178#64947C2211yescharacteristic, complemented
179#64947C2211yescharacteristic, complemented
180#64946C2211yescharacteristic, complemented
181#64946C2211yescharacteristic, complemented
182#64945C2211yescharacteristic, complemented
183#64944C2211yescharacteristic, complemented
184#64943C2211yescharacteristic, complemented
185#64942C2211yescharacteristic, complemented
186#64941C2211yescharacteristic, complemented
187#64941C2211yescharacteristic, complemented
188#64936C2211yescharacteristic, complemented
189#34989—51nomaximal, Sylow
190C24×D5C2311yescharacteristic
191C23×C4×C5C2311yescharacteristic
192C23×C4×C5C2311yescharacteristic
193C23×C4×C5C2311yescharacteristic
194C22×C22⋊D5C2311yescharacteristic
195C22×C22⋊D5C2311yescharacteristic
196C23×Dic5C2311yescharacteristic
197C23×Dic5C2311yescharacteristic
198C23×Dic5C2311yescharacteristic
199C22×D20C2311yescharacteristic
200C22×D20C2311yescharacteristic
201C22×D20C2311yescharacteristic
202C22×D20C2311yescharacteristic
203C22×D20C2311yescharacteristic
204C22×C4×D5—24no—
205C22×C4×D5—24no—
206C22×C4×D5—24no—
207C22×C4×D5—24no—
208C22×C4×D5—24no—
209C22×C4×D5—42no—
210C22×C4×D5—42no—
211C22×C4×D5—42no—
212C22×C4×D5—42no—
213C22×C4×D5C2311yescharacteristic
214C22×C4×D5C2311yescharacteristic
215C22×C4×D5C2311yescharacteristic
216C22×C4×D5C2311yescharacteristic
217C22×C4×D5C2311yescharacteristic
218C22×C4×D5C2311yescharacteristic
219C22×C4×D5C2311yescharacteristic
220C22×C4×D5C2311yescharacteristic
221C22×C4×D5C2311yescharacteristic
222C22×C4×D5C2311yescharacteristic
223C22×C4×D5C2311yescharacteristic
224C22×C4×D5C2311yescharacteristic
225C22×C4×D5C2311yescharacteristic
226C22×C4×D5C2311yescharacteristic
227C22×Dic10C2311yescharacteristic
228C5×#125—24no—
229C2×C5×C4⋊C4—24no—
230C2×C5×C4⋊C4C2311yescharacteristic
231C2×C5×C4⋊C4C2311yescharacteristic
232C2×C5×C4⋊C4C2311yescharacteristic
233C2×C5×C4⋊C4C2311yescharacteristic
234C2×C5×C4⋊C4C2311yescharacteristic
235C2×C5×C4⋊C4C2311yescharacteristic
236C2×C5×C4⋊C4C2311yescharacteristic
237C2×C5×C4⋊C4C2311yescharacteristic
238C2×C5×C4⋊C4C2311yescharacteristic
239C2×C5×C4⋊C4C2311yescharacteristic
240C2×C5×C4⋊C4C2311yescharacteristic
241C2×C5×C4⋊C4C2311yescharacteristic
242C2×C5×C4⋊C4C2311yescharacteristic
243C2×C5×C4⋊C4C2311yescharacteristic
244C2×C5×C22⋊C4C2311yescharacteristic
245C2×C5×C22⋊C4C2311yescharacteristic
246C2×C5×C22⋊C4C2311yescharacteristic
247C2×C5×C22⋊C4C2311yescharacteristic
248C2×C42×C5C2311yescharacteristic
249C2×C42×C5C2311yescharacteristic
250C2×C22⋊Dic5C2311yescharacteristic
251C2×C22⋊Dic5C2311yescharacteristic
252#4076—42no—
253C4×C22⋊D5—42no—
254C2×#685C2311yescharacteristic
255C2×#685C2311yescharacteristic
256C2×#685C2311yescharacteristic
257C2×#685C2311yescharacteristic
258C2×#685C2311yescharacteristic
259C2×#685C2311yescharacteristic
260C2×#685C2311yescharacteristic
261C2×#685C2311yescharacteristic
262C2×#685C2311yescharacteristic
263C2×#685C2311yescharacteristic
264C2×#685C2311yescharacteristic
265C2×#685C2311yescharacteristic
266C2×#685C2311yescharacteristic
267C2×#685C2311yescharacteristic
268C2×#685C2311yescharacteristic
269C2×#685C2311yescharacteristic
270C2×#685C2311yescharacteristic
271C2×#685C2311yescharacteristic
272C2×#685C2311yescharacteristic
273C2×#685C2311yescharacteristic
274C2×#685C2311yescharacteristic
275C2×#685C2311yescharacteristic
276C2×#685C2311yescharacteristic
277C2×#685C2311yescharacteristic
278C2×#685C2311yescharacteristic
279C2×#685C2311yescharacteristic
280C2×#685C2311yescharacteristic
281C2×#685C2311yescharacteristic
282C2×#685C2311yescharacteristic
283C2×#685C2311yescharacteristic
284C2×#685C2311yescharacteristic
285C2×#685C2311yescharacteristic
286C2×C4⋊Dic5—24no—
287C2×C4⋊Dic5C2311yescharacteristic
288C2×C4⋊Dic5C2311yescharacteristic
289C2×C4⋊Dic5C2311yescharacteristic
290C2×C4⋊Dic5C2311yescharacteristic
291C2×C4⋊Dic5C2311yescharacteristic
292C2×C4⋊Dic5C2311yescharacteristic
293C2×C4⋊Dic5C2311yescharacteristic
294C2×C4⋊Dic5C2311yescharacteristic
295C2×#683—24no—
296C2×#683—24no—
297C2×#683C2311yescharacteristic
298C2×#683C2311yescharacteristic
299C2×#683C2311yescharacteristic
300C2×#683C2311yescharacteristic
301C2×#683C2311yescharacteristic
302C2×#683C2311yescharacteristic
303C2×#683C2311yescharacteristic
304C2×#683C2311yescharacteristic
305C2×#683C2311yescharacteristic
306C2×#683C2311yescharacteristic
307C2×#683C2311yescharacteristic
308C2×#683C2311yescharacteristic
309C2×#683C2311yescharacteristic
310C2×#683C2311yescharacteristic
311C2×#683C2311yescharacteristic
312C2×#683C2311yescharacteristic
313C2×#683C2311yescharacteristic
314C2×#683C2311yescharacteristic
315C2×#683C2311yescharacteristic
316C2×#683C2311yescharacteristic
317C2×C4×Dic5C2311yescharacteristic
318C2×C4×Dic5C2311yescharacteristic
319C2×C4×Dic5C2311yescharacteristic
320C2×C4×Dic5C2311yescharacteristic
321#4044—24no—
322#4043—24no—
323#4042—24no—
324#4042—24no—
325#4042—42no—
326#4041—24no—
327#4041—42no—
328#4040—24no—
329#4040—24no—
330#4040—24no—
331#4040—24no—
332#4040—24no—
333#4040—24no—
334#4039—24no—
335#4039—42no—
336D5×C4⋊C4—24no—
337D5×C4⋊C4—24no—
338D5×C4⋊C4—24no—
339D5×C4⋊C4—24no—
340D5×C4⋊C4—24no—
341D5×C4⋊C4—24no—
342D5×C4⋊C4—24no—
343D5×C4⋊C4D418yescomplemented
344#4035—24no—
345#4028—24no—
346#4028—24no—
347#4027—42no—
348#4024—42no—
349#4022—24no—
350C4×D20—24no—
351C4×D20—42no—
352C5×#95C2311yescharacteristic
353C5×#95C2311yescharacteristic
354C5×#95C2311yescharacteristic
355C5×#95C2311yescharacteristic
356C5×#95C2311yescharacteristic
357C5×#95C2311yescharacteristic
358C5×#95C2311yescharacteristic
359C5×#95C2311yescharacteristic
360C5×#95C2311yescharacteristic
361C5×#95C2311yescharacteristic
362C5×#95C2311yescharacteristic
363C5×#95C2311yescharacteristic
364#3963C2311yescharacteristic
365#3963C2311yescharacteristic
366#3963C2311yescharacteristic
367#3963C2311yescharacteristic
368#3963C2311yescharacteristic
369#3963C2311yescharacteristic
370#3963C2311yescharacteristic
371#3963C2311yescharacteristic
372#3963C2311yescharacteristic
373#3963C2311yescharacteristic
374#3963C2311yescharacteristic
375#3963C2311yescharacteristic
376#3963C2311yescharacteristic
377#3963C2311yescharacteristic
378#3963C2311yescharacteristic
379#3963C2311yescharacteristic
380#3963C2311yescharacteristic
381#3963C2311yescharacteristic
382#3963C2311yescharacteristic
383#3963C2311yescharacteristic
384#3963C2311yescharacteristic
385#3963C2311yescharacteristic
386#3963C2311yescharacteristic
387#3963C2311yescharacteristic
388#3963C2311yescharacteristic
389#3963C2311yescharacteristic
390#3963C2311yescharacteristic
391#3963C2311yescharacteristic
392C2×#539—51no—
393C23×C4⋊C4—51no—
394#2849—51no—
395#2849—51no—
396#2848—51no—
397#2847—51no—
398#2627—51no—
399#2623—51no—
400#2623—51no—
401#2618—51no—
402#2481—51no—
403#2481—51no—
404#2481—51no—
405#2481—51no—
406#2473—51no—
407#2473—51no—
408#2473—51no—
409#2473D511yescharacteristic, complemented
410#2449—51no—
411#2449—51no—
412#2449—51no—
413#2449—51no—
414#2443—51no—
415#2443—51no—
416#2443—51no—
417#2443—51no—
418#2322—51no—
419#2322—51no—
420#2313—51no—
421C4×#120—51no—
422C4×#120—51no—
423C24×C5C2411yescharacteristic
424C23×D5—22no—
425C23×D5—22no—
426C23×D5—22no—
427C23×D5—22no—
428C23×D5—22no—
429C23×D5—22no—
430C23×D5#4114yes—
431C23×D5C2411yescharacteristic
432C23×D5C2411yescharacteristic
433C23×D5C2411yescharacteristic
434C23×D5C2411yescharacteristic
435C22×C4×C5—22no—
436C22×C4×C5—22no—
437C22×C4×C5—22no—
438C22×C4×C5—22no—
439C22×C4×C5—22no—
440C22×C4×C5—22no—
441C22×C4×C5—22no—
442C22×C4×C5—41no—
443C22×C4×C5—41no—
444C22×C4×C5C2411yescharacteristic
445C22×C4×C5C2411yescharacteristic
446C22×C4×C5C2411yescharacteristic
447C22×C4×C5C2411yescharacteristic
448C22×C4×C5C2411yescharacteristic
449C22×C4×C5C2411yescharacteristic
450C22×C4×C5C2411yescharacteristic
451C22×C4×C5C2411yescharacteristic
452C22×C4×C5C2411yescharacteristic
453C22×C4×C5C2411yescharacteristic
454C22×C4×C5C2411yescharacteristic
455C22×C4×C5C2411yescharacteristic
456C22×C4×C5C2411yescharacteristic
457C22×C4×C5C2411yescharacteristic
458C2×C22⋊D5—22no—
459C2×C22⋊D5—22no—
460C2×C22⋊D5—22no—
461C2×C22⋊D5—22no—
462C2×C22⋊D5—22no—
463C2×C22⋊D5—22no—
464C22×Dic5—22no—
465C22×Dic5—22no—
466C22×Dic5—22no—
467C22×Dic5—22no—
468C22×Dic5—22no—
469C22×Dic5—22no—
470C22×Dic5—22no—
471C22×Dic5—41no—
472C22×Dic5—41no—
473C22×Dic5C2411yescharacteristic
474C22×Dic5C2411yescharacteristic
475C22×Dic5C2411yescharacteristic
476C22×Dic5C2411yescharacteristic
477C22×Dic5C2411yescharacteristic
478C22×Dic5C2411yescharacteristic
479C22×Dic5C2411yescharacteristic
480C22×Dic5C2411yescharacteristic
481C22×Dic5C2411yescharacteristic
482C22×Dic5C2411yescharacteristic
483C22×Dic5C2411yescharacteristic
484C22×Dic5C2411yescharacteristic
485C2×D20—22no—
486C2×D20—22no—
487C2×D20—22no—
488C2×D20—22no—
489C2×D20—22no—
490C2×D20—22no—
491C2×D20—22no—
492C2×D20—22no—
493C2×D20—22no—
494C2×D20—22no—
495C2×D20—22no—
496C2×D20—22no—
497C2×D20—22no—
498C2×D20—41no—
499C2×D20—41no—
500C2×C4×D5—232no—
501C2×C4×D5—22no—
502C2×C4×D5—22no—
503C2×C4×D5—22no—
504C2×C4×D5—22no—
505C2×C4×D5—22no—
506C2×C4×D5—22no—
507C2×C4×D5—22no—
508C2×C4×D5—22no—
509C2×C4×D5—22no—
510C2×C4×D5—22no—
511C2×C4×D5—22no—
512C2×C4×D5—22no—
513C2×C4×D5—22no—
514C2×C4×D5—22no—
515C2×C4×D5—22no—
516C2×C4×D5—22no—
517C2×C4×D5—22no—
518C2×C4×D5—22no—
519C2×C4×D5—22no—
520C2×C4×D5—22no—
521C2×C4×D5—22no—
522C2×C4×D5—22no—
523C2×C4×D5—41no—
524C2×C4×D5—41no—
525C2×C4×D5—41no—
526C2×C4×D5—41no—
527C2×C4×D5—41no—
528C2×C4×D5—41no—
529C2×C4×D5—41no—
530C2×C4×D5—41no—
531C2×C4×D5—41no—
532C2×C4×D5—41no—
533C2×C4×D5—41no—
534C2×C4×D5—41no—
535C2×C4×D5—416no—
536C2×C4×D5—416no—
537C2×C4×D5—41no—
538C2×C4×D5—41no—
539C2×C4×D5—41no—
540C2×C4×D5—41no—
541C2×C4×D5C2×D414yes—
542C2×C4×D5C2×D414yes—
543C2×C4×D5C2×D414yes—
544C2×C4×D5#4114yes—
545C2×Dic10—22no—
546C2×Dic10—41no—
547C2×Dic10—41no—
548C5×C4⋊C4—22no—
549C5×C4⋊C4—22no—
550C5×C4⋊C4—22no—
551C5×C4⋊C4—22no—
552C5×C4⋊C4—22no—
553C5×C4⋊C4—22no—
554C5×C4⋊C4—22no—
555C5×C4⋊C4—22no—
556C5×C4⋊C4—22no—
557C5×C4⋊C4—22no—
558C5×C4⋊C4—41no—
559C5×C4⋊C4—41no—
560C5×C4⋊C4—41no—
561C5×C4⋊C4C2×D414yes—
562C5×C22⋊C4—22no—
563C5×C22⋊C4—22no—
564C5×C22⋊C4—22no—
565C5×C22⋊C4—22no—
566C42×C5—22no—
567C42×C5—41no—
568C22⋊Dic5—22no—
569C22⋊Dic5—22no—
570#685—22no—
571#685—22no—
572#685—22no—
573#685—22no—
574#685—22no—
575#685—22no—
576#685—22no—
577#685—22no—
578#685—22no—
579#685—22no—
580#685—22no—
581#685—22no—
582#685—22no—
583#685—22no—
584#685—22no—
585#685—22no—
586#685—22no—
587#685—22no—
588#685—22no—
589#685—22no—
590#685—22no—
591#685—22no—
592#685—22no—
593#685—22no—
594#685—41no—
595#685—41no—
596#685—41no—
597#685—41no—
598#685—41no—
599#685—41no—
600#685—41no—
601#685—41no—
602C4⋊Dic5—22no—
603C4⋊Dic5—22no—
604C4⋊Dic5—22no—
605C4⋊Dic5—22no—
606C4⋊Dic5—41no—
607C4⋊Dic5—41no—
608C4⋊Dic5—41no—
609C4⋊Dic5C2×D414yes—
610#683—22no—
611#683—22no—
612#683—22no—
613#683—22no—
614#683—22no—
615#683—22no—
616#683—22no—
617#683—22no—
618#683—22no—
619#683—22no—
620#683—22no—
621#683—22no—
622#683—41no—
623#683—41no—
624#683—41no—
625#683—41no—
626#683—41no—
627#683—41no—
628#683C2×D414yes—
629#683C2×D414yes—
630C4×Dic5—22no—
631C4×Dic5—41no—
632C4×Dic5—41no—
633C4×Dic5—41no—
634C24×C4—51no—
635C24×C4—51no—
636C24×C4—51no—
637#539—108no—
638C2×#126—51no—
639C2×#126—51no—
640C2×#125—51no—
641C2×#125C2×D511yescharacteristic, complemented
642C2×#123—51no—
643C2×#123—51no—
644C2×#123—51no—
645C2×#123—51no—
646C2×#123—51no—
647C2×#123—51no—
648C2×C22⋊Q8—51no—
649C2×C22⋊Q8—51no—
650C2×C22⋊Q8—51no—
651C2×C22⋊Q8—51no—
652C2×C22⋊Q8—51no—
653C2×#121—51no—
654C2×#121—51no—
655C2×#121—51no—
656C2×#120—51no—
657C2×#120—51no—
658C2×C4×D4—51no—
659C2×C4×D4—51no—
660C2×C4×D4—51no—
661C2×C4×D4—51no—
662C2×C4×D4—51no—
663C2×C4×D4—51no—
664C22×C4⋊C4—51no—
665C22×C4⋊C4—51no—
666C22×C4⋊C4—51no—
667C22×C4⋊C4—51no—
668C22×C4⋊C4—51no—
669C22×C4⋊C4—51no—
670C22×C4⋊C4—51no—
671C22×C4⋊C4—51no—
672C22×C4⋊C4—51no—
673C22×C4⋊C4—51no—
674C22×C4⋊C4—51no—
675C22×C4⋊C4—108no—
676C22×C4⋊C4C2×D511yescharacteristic
677#400—51no—
678#400—51no—
679#400—51no—
680#400—51no—
681#400—51no—
682#400C2×D511yescharacteristic, complemented
683#399—51no—
684#399—51no—
685#399—51no—
686#399—51no—
687#398—51no—
688#398—51no—
689#398—51no—
690#398—51no—
691#398—51no—
692#398—51no—
693#398—51no—
694#398C2×D511yescharacteristic, complemented
695#398C2×D511yescharacteristic, complemented
696#398C2×D511yescharacteristic, complemented
697#397—51no—
698#397—51no—
699#397—51no—
700#397—51no—
701#396—51no—
702#396—51no—
703#396—51no—
704#396—51no—
705#395—51no—
706#395—51no—
707#394—51no—
708#394—51no—
709#389—51no—
710#389—51no—
711#389—51no—
712#389C2×D511yescharacteristic, complemented
713#388—51no—
714#388—51no—
715#388—51no—
716#388—51no—
717#387—51no—
718#387—51no—
719#387—51no—
720#387—51no—
721#387—51no—
722#387—51no—
723#387—51no—
724#387—51no—
725#387—51no—
726#387—51no—
727#387C2×D511yescharacteristic, complemented
728#387C2×D511yescharacteristic, complemented
729#386—51no—
730#386—51no—
731#386—51no—
732#386—51no—
733#386—51no—
734#386—51no—
735#386—51no—
736#386—51no—
737#386—51no—
738#386—51no—
739#386—51no—
740#386—51no—
741#386—51no—
742#386—51no—
743#386—51no—
744#386—51no—
745#386—51no—
746#386—51no—
747#386—51no—
748#386—51no—
749#385—51no—
750#385—51no—
751#385—51no—
752#385—51no—
753#385—51no—
754#385—51no—
755#385—51no—
756#385—51no—
757#385—51no—
758#385—51no—
759#385—51no—
760#385—51no—
761#385—51no—
762#385—51no—
763#385—51no—
764#385—51no—
765#385—51no—
766#385—51no—
767#385—51no—
768#385—51no—
769#385C2×D511yescharacteristic
770#385C2×D511yescharacteristic
771#385C2×D511yescharacteristic
772#385C2×D511yescharacteristic
773#381—51no—
774#381—51no—
775#381—51no—
776#381—51no—
777#380—51no—
778#380—51no—
779#380—51no—
780#380—51no—
781#380—51no—
782#380C2×D511yescharacteristic
783#379—51no—
784#379—51no—
785C4×C22⋊C4—51no—
786C4×C22⋊C4—51no—
787C4×C22⋊C4—51no—
788C4×C22⋊C4—51no—
789C4×C22⋊C4—51no—
790C4×C22⋊C4C2×D511yescharacteristic
791C23×C5—21no—
792C23×C5—21no—
793C23×C5—21no—
794C23×C5—21no—
795C23×C5C2×#4112yes—
796C23×C5H(5,𝔽2)12yes—
797C23×C52−1+412yes—
798C23×C5C2511yescharacteristic
799C22×D5—28no—
800C22×D5—28no—
801C22×D5—28no—
802C22×D5—28no—
803C22×D5—28no—
804C22×D5—21no—
805C22×D5—21no—
806C22×D5—21no—
807C22×D5—21no—
808C22×D5—21no—
809C22×D5—21no—
810C22×D5—21no—
811C22×D5—21no—
812C22×D5—28no—
813C22×D5—28no—
814C22×D5—21no—
815C22×D5—21no—
816C22×D5—21no—
817C22×D5—21no—
818C22×D5—21no—
819C22×D5—21no—
820C22×D5—21no—
821C22×D5—21no—
822C22×D5—21no—
823C22×D5—21no—
824C22×D5—21no—
825C22×D5—21no—
826C22×D5—21no—
827C22×D5—21no—
828C22×D5C22×D412yes—
829C22×D5C2×#4112yes—
830C22×D5C2×#4112yes—
831C22×D5C2×#4112yes—
832C22×D5H(5,𝔽2)12yes—
833C22×D52−1+412yes—
834C2×C4×C5—28no—
835C2×C4×C5—21no—
836C2×C4×C5—21no—
837C2×C4×C5—21no—
838C2×C4×C5—21no—
839C2×C4×C5—21no—
840C2×C4×C5—21no—
841C2×C4×C5—21no—
842C2×C4×C5—21no—
843C2×C4×C5—21no—
844C2×C4×C5—21no—
845C2×C4×C5—21no—
846C2×C4×C5—21no—
847C2×C4×C5—21no—
848C2×C4×C5—21no—
849C2×C4×C5—21no—
850C2×C4×C5—21no—
851C2×C4×C5—21no—
852C2×C4×C5—21no—
853C2×C4×C5—21no—
854C2×C4×C5—21no—
855C2×C4×C5—21no—
856C2×C4×C5—21no—
857C2×C4×C5—21no—
858C2×C4×C5—21no—
859C2×C4×C5—21no—
860C2×C4×C5—21no—
861C2×C4×C5—21no—
862C2×C4×C5—21no—
863C2×C4×C5—21no—
864C2×C4×C5—21no—
865C2×C4×C5—21no—
866C2×C4×C5—21no—
867C2×C4×C5—21no—
868C2×C4×C5—21no—
869C2×C4×C5—21no—
870C2×C4×C5—21no—
871C2×C4×C5—21no—
872C2×C4×C5—21no—
873C2×C4×C5—44no—
874C2×C4×C5—44no—
875C2×C4×C5C22×D412yes—
876C2×C4×C5C22×D412yes—
877C2×C4×C5C22×D412yes—
878C2×C4×C5C2×#4112yes—
879C22⋊D5—44no—
880C22⋊D5—44no—
881C2×Dic5—28no—
882C2×Dic5—21no—
883C2×Dic5—21no—
884C2×Dic5—21no—
885C2×Dic5—21no—
886C2×Dic5—21no—
887C2×Dic5—21no—
888C2×Dic5—21no—
889C2×Dic5—21no—
890C2×Dic5—21no—
891C2×Dic5—21no—
892C2×Dic5—21no—
893C2×Dic5—21no—
894C2×Dic5—21no—
895C2×Dic5—21no—
896C2×Dic5—21no—
897C2×Dic5—21no—
898C2×Dic5—21no—
899C2×Dic5—21no—
900C2×Dic5—21no—
901C2×Dic5—21no—
902C2×Dic5—21no—
903C2×Dic5—21no—
904C2×Dic5—21no—
905C2×Dic5—21no—
906C2×Dic5—21no—
907C2×Dic5—21no—
908C2×Dic5—21no—
909C2×Dic5—21no—
910C2×Dic5—21no—
911C2×Dic5—21no—
912C2×Dic5—21no—
913C2×Dic5—21no—
914C2×Dic5—44no—
915C2×Dic5—44no—
916C2×Dic5C22×D412yes—
917C2×Dic5C22×D412yes—
918C2×Dic5C22×D412yes—
919C2×Dic5C2×#4112yes—
920D20—44no—
921D20—44no—
922D20—44no—
923D20—44no—
924D20—82no—
925C4×D5—28no—
926C4×D5—28no—
927C4×D5—28no—
928C4×D5—28no—
929C4×D5—44no—
930C4×D5—44no—
931C4×D5—44no—
932C4×D5—44no—
933C4×D5—44no—
934C4×D5—44no—
935C4×D5—44no—
936C4×D5—44no—
937C4×D5—82no—
938C4×D5—82no—
939Dic10—82no—
940C25—51no—
941C22×Q8—51no—
942C22×D4—51no—
943C22×D4—51no—
944C22×D4—51no—
945C22×D4—51no—
946C22×D4—51no—
947C22×D4—51no—
948C22×D4—51no—
949C23×C4—51no—
950C23×C4—51no—
951C23×C4—51no—
952C23×C4—51no—
953C23×C4—51no—
954C23×C4—51no—
955C23×C4—51no—
956C23×C4—51no—
957C23×C4—51no—
958C23×C4—51no—
959C23×C4—51no—
960C23×C4—51no—
961C23×C4—51no—
962C23×C4—51no—
963C23×C4—51no—
964C23×C4—51no—
965C23×C4—51no—
966C23×C4—104no—
967C23×C4—104no—
968C23×C4—104no—
969C23×C4—104no—
970C23×C4—104no—
971C23×C4—202no—
972C23×C4—202no—
973C23×C4—202no—
974C23×C4—202no—
975C23×C4C22×D511yescharacteristic
976C23×C4C22×D511yescharacteristic
977C23×C4C22×D511yescharacteristic
978#126—104no—
979#126—104no—
980#125—24no—
981#125—104no—
982#123—104no—
983#123—104no—
984#123—104no—
985#123—104no—
986#123—104no—
987#123—104no—
988C22⋊Q8—104no—
989C22⋊Q8—104no—
990C22⋊Q8—104no—
991C22⋊Q8—202no—
992C22⋊Q8—202no—
993#121—104no—
994#121—202no—
995#121—202no—
996#120—104no—
997#120—104no—
998C4×D4—104no—
999C4×D4—104no—
1000C4×D4—202no—
1001C4×D4—202no—
1002C4×D4—202no—
1003C4×D4—202no—
1004C2×C4⋊C4—24no—
1005C2×C4⋊C4—51no—
1006C2×C4⋊C4—51no—
1007C2×C4⋊C4—51no—
1008C2×C4⋊C4—58no—
1009C2×C4⋊C4—51no—
1010C2×C4⋊C4—51no—
1011C2×C4⋊C4—51no—
1012C2×C4⋊C4—51no—
1013C2×C4⋊C4—51no—
1014C2×C4⋊C4—51no—
1015C2×C4⋊C4—51no—
1016C2×C4⋊C4—51no—
1017C2×C4⋊C4—51no—
1018C2×C4⋊C4—51no—
1019C2×C4⋊C4—51no—
1020C2×C4⋊C4—51no—
1021C2×C4⋊C4—51no—
1022C2×C4⋊C4—51no—
1023C2×C4⋊C4—51no—
1024C2×C4⋊C4—51no—
1025C2×C4⋊C4—51no—
1026C2×C4⋊C4—51no—
1027C2×C4⋊C4—51no—
1028C2×C4⋊C4—51no—
1029C2×C4⋊C4—51no—
1030C2×C4⋊C4—51no—
1031C2×C4⋊C4—51no—
1032C2×C4⋊C4—51no—
1033C2×C4⋊C4—51no—
1034C2×C4⋊C4—104no—
1035C2×C4⋊C4—104no—
1036C2×C4⋊C4—104no—
1037C2×C4⋊C4—104no—
1038C2×C4⋊C4—104no—
1039C2×C4⋊C4—104no—
1040C2×C4⋊C4—104no—
1041C2×C4⋊C4—104no—
1042C2×C4⋊C4—104no—
1043C2×C4⋊C4—104no—
1044C2×C4⋊C4C22×D511yescharacteristic
1045C2×C4⋊C4C22×D511yescharacteristic
1046C2×C4⋊C4C22×D511yescharacteristic
1047C2×C4⋊C4C22×D511yescharacteristic
1048C2×C4⋊C4C22×D511yescharacteristic
1049C2×C4⋊C4C22×D511yescharacteristic
1050C2×C4⋊C4C22×D511yescharacteristic
1051C2×C4⋊C4C22×D511yescharacteristic
1052C2×C4⋊C4C22×D511yescharacteristic
1053C2×C4⋊C4C22×D511yescharacteristic
1054C2×C4⋊C4C22×D511yescharacteristic
1055C2×C4⋊C4C22×D511yescharacteristic
1056C2×C4⋊C4C22×D511yescharacteristic
1057C2×C4⋊C4C22×D511yescharacteristic
1058C2×C22⋊C4—51no—
1059C2×C22⋊C4—51no—
1060C2×C22⋊C4—51no—
1061C2×C22⋊C4—51no—
1062C2×C22⋊C4—51no—
1063C2×C22⋊C4—51no—
1064C2×C22⋊C4—51no—
1065C2×C22⋊C4—51no—
1066C2×C22⋊C4—51no—
1067C2×C22⋊C4—51no—
1068C2×C22⋊C4—51no—
1069C2×C22⋊C4—51no—
1070C2×C22⋊C4—51no—
1071C2×C22⋊C4—51no—
1072C2×C22⋊C4—51no—
1073C2×C22⋊C4—51no—
1074C2×C22⋊C4—51no—
1075C2×C22⋊C4—51no—
1076C2×C22⋊C4—51no—
1077C2×C22⋊C4—51no—
1078C2×C22⋊C4—51no—
1079C2×C22⋊C4—51no—
1080C2×C22⋊C4—51no—
1081C2×C22⋊C4—51no—
1082C2×C22⋊C4—51no—
1083C2×C22⋊C4—51no—
1084C2×C22⋊C4—51no—
1085C2×C22⋊C4—51no—
1086C2×C22⋊C4—51no—
1087C2×C22⋊C4—51no—
1088C2×C22⋊C4—51no—
1089C2×C22⋊C4—51no—
1090C2×C22⋊C4—51no—
1091C2×C22⋊C4—51no—
1092C2×C22⋊C4C22×D511yescharacteristic
1093C2×C22⋊C4C22×D511yescharacteristic
1094C2×C22⋊C4C22×D511yescharacteristic
1095C2×C22⋊C4C22×D511yescharacteristic
1096C2×C42—51no—
1097C2×C42—51no—
1098C2×C42—51no—
1099C2×C42—51no—
1100C2×C42C22×D511yescharacteristic
1101C2×C42C22×D511yescharacteristic
1102#95—51no—
1103#95—51no—
1104#95—51no—
1105#95—51no—
1106#95—51no—
1107#95—51no—
1108#95—51no—
1109#95—51no—
1110#95—51no—
1111#95—51no—
1112#95—51no—
1113#95—51no—
1114#95—51no—
1115#95—51no—
1116#95—51no—
1117#95—51no—
1118#95—51no—
1119#95—51no—
1120#95—51no—
1121#95—51no—
1122#95—51no—
1123#95—51no—
1124#95—51no—
1125#95—51no—
1126#95—51no—
1127#95—51no—
1128#95—51no—
1129#95—51no—
1130#95C22×D511yescharacteristic
1131#95C22×D511yescharacteristic
1132#95C22×D511yescharacteristic
1133#95C22×D511yescharacteristic
1134#95C22×D511yescharacteristic
1135#95C22×D511yescharacteristic
1136#95C22×D511yescharacteristic
1137#95C22×D511yescharacteristic
1138#95C22×D511yescharacteristic
1139#95C22×D511yescharacteristic
1140#95C22×D511yescharacteristic
1141#95C22×D511yescharacteristic
1142C22×C5—22no—
1143C22×C5—22no—
1144C22×C5—22no—
1145C22×C5—22no—
1146C22×C5—22no—
1147C22×C5—22no—
1148C22×C5#53914yescomplemented
1149C22×C5C23×D411yescharacteristic
1150C22×C5C22×#4111yescharacteristic
1151C22×C5C22×#4111yescharacteristic
1152C22×C5C2×H(5,𝔽2)11yescharacteristic
1153C22×C5C2×H(5,𝔽2)11yescharacteristic
1154C22×C5C2×2−1+411yescharacteristic
1155C22×C5C2×2−1+411yescharacteristic
1156C2×D5—232no—
1157C2×D5—22no—
1158C2×D5—22no—
1159C2×D5—22no—
1160C2×D5—22no—
1161C2×D5—22no—
1162C2×D5—22no—
1163C2×D5—22no—
1164C2×D5—22no—
1165C2×D5—22no—
1166C2×D5—22no—
1167C2×D5—22no—
1168C2×D5—22no—
1169C2×D5—41no—
1170C2×D5—41no—
1171C2×D5—41no—
1172C2×D5—41no—
1173C2×D5—41no—
1174C2×D5—41no—
1175C2×D5—41no—
1176C2×D5—41no—
1177C2×D5—41no—
1178C2×D5—41no—
1179C2×D5—41no—
1180C2×D5—41no—
1181C2×D5—41no—
1182C2×D5—41no—
1183C2×D5#52514yes—
1184C2×D5#53914yescomplemented
1185C4×C5—22no—
1186C4×C5—22no—
1187C4×C5—22no—
1188C4×C5—22no—
1189C4×C5—41no—
1190C4×C5—41no—
1191C4×C5—41no—
1192C4×C5—41no—
1193C4×C5—41no—
1194C4×C5—41no—
1195C4×C5—41no—
1196C4×C5—41no—
1197C4×C5—41no—
1198C4×C5—41no—
1199Dic5—22no—
1200Dic5—22no—
1201Dic5—22no—
1202Dic5—22no—
1203Dic5—41no—
1204Dic5—41no—
1205Dic5—41no—
1206Dic5—41no—
1207Dic5—41no—
1208Dic5—41no—
1209Dic5—41no—
1210Dic5—41no—
1211C24—51no—
1212C24—51no—
1213C24—54no—
1214C24—51no—
1215C24—51no—
1216C24—102no—
1217C24—102no—
1218C24—102no—
1219C24—102no—
1220C24—102no—
1221C24—102no—
1222C24C23×D511yescharacteristic
1223C2×Q8—102no—
1224C2×Q8—201no—
1225C2×Q8—201no—
1226C2×D4—102no—
1227C2×D4—102no—
1228C2×D4—102no—
1229C2×D4—102no—
1230C2×D4—102no—
1231C2×D4—102no—
1232C2×D4—102no—
1233C2×D4—102no—
1234C2×D4—102no—
1235C2×D4—102no—
1236C2×D4—102no—
1237C2×D4—102no—
1238C2×D4—102no—
1239C2×D4—102no—
1240C2×D4—102no—
1241C2×D4—102no—
1242C2×D4—102no—
1243C2×D4—102no—
1244C2×D4—102no—
1245C2×D4—201no—
1246C2×D4—201no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—51no—
1257C22×C4—51no—
1258C22×C4—51no—
1259C22×C4—51no—
1260C22×C4—54no—
1261C22×C4—54no—
1262C22×C4—54no—
1263C22×C4—54no—
1264C22×C4—51no—
1265C22×C4—51no—
1266C22×C4—51no—
1267C22×C4—51no—
1268C22×C4—51no—
1269C22×C4—51no—
1270C22×C4—51no—
1271C22×C4—51no—
1272C22×C4—102no—
1273C22×C4—102no—
1274C22×C4—102no—
1275C22×C4—102no—
1276C22×C4—102no—
1277C22×C4—102no—
1278C22×C4—102no—
1279C22×C4—102no—
1280C22×C4—102no—
1281C22×C4—102no—
1282C22×C4—102no—
1283C22×C4—1032no—
1284C22×C4—102no—
1285C22×C4—102no—
1286C22×C4—102no—
1287C22×C4—102no—
1288C22×C4—102no—
1289C22×C4—102no—
1290C22×C4—102no—
1291C22×C4—102no—
1292C22×C4—102no—
1293C22×C4—102no—
1294C22×C4—102no—
1295C22×C4—102no—
1296C22×C4—102no—
1297C22×C4—102no—
1298C22×C4—102no—
1299C22×C4—102no—
1300C22×C4—102no—
1301C22×C4—102no—
1302C22×C4—201no—
1303C22×C4—201no—
1304C22×C4—201no—
1305C22×C4—201no—
1306C22×C4—201no—
1307C22×C4—201no—
1308C22×C4—201no—
1309C22×C4—201no—
1310C22×C4—201no—
1311C22×C4—201no—
1312C22×C4—201no—
1313C22×C4—201no—
1314C22×C4—201no—
1315C22×C4—201no—
1316C22×C4—201no—
1317C22×C4—201no—
1318C22×C4—2016no—
1319C22×C4—2016no—
1320C22×C4—201no—
1321C22×C4—201no—
1322C22×C4C23×D511yescharacteristic
1323C22×C4C23×D511yescharacteristic
1324C22×C4C23×D511yescharacteristic
1325C22×C4C23×D511yescharacteristic
1326C22×C4C23×D511yescharacteristic
1327C22×C4C23×D511yescharacteristic
1328C22×C4C23×D511yescharacteristic
1329C22×C4C23×D511yescharacteristic
1330C22×C4C23×D511yescharacteristic
1331C22×C4C23×D511yescharacteristic
1332C22×C4C23×D511yescharacteristic
1333C22×C4C23×D511yescharacteristic
1334C22×C4C23×D511yescharacteristic
1335C22×C4C23×D511yescharacteristic
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—54no—
1350C4⋊C4—54no—
1351C4⋊C4—54no—
1352C4⋊C4—102no—
1353C4⋊C4—102no—
1354C4⋊C4—102no—
1355C4⋊C4—102no—
1356C4⋊C4—102no—
1357C4⋊C4—102no—
1358C4⋊C4—102no—
1359C4⋊C4—102no—
1360C4⋊C4—102no—
1361C4⋊C4—102no—
1362C4⋊C4—102no—
1363C4⋊C4—102no—
1364C4⋊C4—102no—
1365C4⋊C4—102no—
1366C4⋊C4—102no—
1367C4⋊C4—102no—
1368C4⋊C4—201no—
1369C4⋊C4—201no—
1370C4⋊C4—201no—
1371C4⋊C4—201no—
1372C4⋊C4—201no—
1373C4⋊C4—201no—
1374C4⋊C4—201no—
1375C4⋊C4—201no—
1376C4⋊C4—201no—
1377C4⋊C4D4×D514yes—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—102no—
1383C22⋊C4—102no—
1384C22⋊C4—102no—
1385C22⋊C4—102no—
1386C22⋊C4—102no—
1387C22⋊C4—102no—
1388C22⋊C4—102no—
1389C22⋊C4—102no—
1390C22⋊C4—102no—
1391C22⋊C4—102no—
1392C22⋊C4—102no—
1393C22⋊C4—102no—
1394C22⋊C4—102no—
1395C22⋊C4—102no—
1396C22⋊C4—102no—
1397C22⋊C4—102no—
1398C22⋊C4—102no—
1399C22⋊C4—102no—
1400C22⋊C4—102no—
1401C22⋊C4—102no—
1402C22⋊C4—102no—
1403C22⋊C4—102no—
1404C22⋊C4—102no—
1405C22⋊C4—102no—
1406C22⋊C4—102no—
1407C22⋊C4—102no—
1408C22⋊C4—201no—
1409C22⋊C4—201no—
1410C22⋊C4—201no—
1411C22⋊C4—201no—
1412C22⋊C4—201no—
1413C22⋊C4—201no—
1414C22⋊C4—201no—
1415C22⋊C4—201no—
1416C42—22no—
1417C42—41no—
1418C42—102no—
1419C42—201no—
1420C42—201no—
1421C42—201no—
1422C2×C5—24no—
1423C2×C5C2×#52511yescharacteristic
1424C2×C5C2×#53911yescharacteristic
1425C2×C5C2×#53911yescharacteristic
1426C2×C5#348411yescharacteristic
1427C2×C5#348611yescharacteristic
1428C2×C5#349211yescharacteristic
1429C2×C5#349211yescharacteristic
1430D5—24no—
1431D5—24no—
1432D5—81no—
1433D5—81no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—52no—
1439C23—52no—
1440C23—52no—
1441C23—52no—
1442C23—52no—
1443C23—52no—
1444C23—108no—
1445C23—108no—
1446C23—108no—
1447C23—108no—
1448C23—108no—
1449C23—108no—
1450C23—101no—
1451C23—101no—
1452C23—101no—
1453C23—101no—
1454C23—101no—
1455C23—101no—
1456C23—108no—
1457C23—101no—
1458C23—101no—
1459C23—101no—
1460C23—101no—
1461C23—101no—
1462C23—101no—
1463C23—101no—
1464C23—101no—
1465C23—101no—
1466C23—101no—
1467C23—101no—
1468C23—101no—
1469C23—101no—
1470C23—101no—
1471C23—101no—
1472C23—101no—
1473C23#414712yes—
1474C23D5×#4112yes—
1475C23#414912yes—
1476C23C24×D511yescharacteristic
1477Q8—402no—
1478D4—204no—
1479D4—204no—
1480D4—204no—
1481D4—204no—
1482D4—204no—
1483D4—204no—
1484D4—402no—
1485C2×C4—28no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—52no—
1527C2×C4—52no—
1528C2×C4—52no—
1529C2×C4—52no—
1530C2×C4—108no—
1531C2×C4—108no—
1532C2×C4—108no—
1533C2×C4—108no—
1534C2×C4—108no—
1535C2×C4—101no—
1536C2×C4—101no—
1537C2×C4—101no—
1538C2×C4—101no—
1539C2×C4—101no—
1540C2×C4—101no—
1541C2×C4—101no—
1542C2×C4—101no—
1543C2×C4—101no—
1544C2×C4—101no—
1545C2×C4—101no—
1546C2×C4—101no—
1547C2×C4—101no—
1548C2×C4—101no—
1549C2×C4—101no—
1550C2×C4—101no—
1551C2×C4—101no—
1552C2×C4—101no—
1553C2×C4—101no—
1554C2×C4—101no—
1555C2×C4—101no—
1556C2×C4—101no—
1557C2×C4—101no—
1558C2×C4—101no—
1559C2×C4—101no—
1560C2×C4—101no—
1561C2×C4—101no—
1562C2×C4—101no—
1563C2×C4—101no—
1564C2×C4—101no—
1565C2×C4—101no—
1566C2×C4—101no—
1567C2×C4—204no—
1568C2×C4—204no—
1569C2×C4—204no—
1570C2×C4—204no—
1571C2×C4—204no—
1572C2×C4—204no—
1573C2×C4—204no—
1574C2×C4—204no—
1575C2×C4—204no—
1576C2×C4—204no—
1577C2×C4—402no—
1578C2×C4—402no—
1579C2×C4C2×D4×D512yes—
1580C2×C4C2×D4×D512yes—
1581C2×C4C2×D4×D512yes—
1582C2×C4D5×#4112yes—
1583C5#3498911yescharacteristic, complemented, Sylow
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—54no—
1591C22—54no—
1592C22—1032no—
1593C22—102no—
1594C22—102no—
1595C22—102no—
1596C22—102no—
1597C22—102no—
1598C22—102no—
1599C22—102no—
1600C22—102no—
1601C22—102no—
1602C22—102no—
1603C22—102no—
1604C22—102no—
1605C22—201no—
1606C22—201no—
1607C22—201no—
1608C22—201no—
1609C22—201no—
1610C22—201no—
1611C22—201no—
1612C22—201no—
1613C22—201no—
1614C22—201no—
1615C22—201no—
1616C22—201no—
1617C22—201no—
1618C22—201no—
1619C22#6602614yescomplemented
1620C22C22×D4×D511yescharacteristic
1621C22C2×#414711yescharacteristic
1622C22C2×D5×#4111yescharacteristic
1623C22C2×D5×#4111yescharacteristic
1624C22C2×#414911yescharacteristic
1625C22D5×H(5,𝔽2)11yescharacteristic
1626C22D5×2−1+411yescharacteristic
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—22no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—102no—
1642C4—102no—
1643C4—102no—
1644C4—102no—
1645C4—201no—
1646C4—201no—
1647C4—201no—
1648C4—201no—
1649C4—201no—
1650C4—201no—
1651C4—201no—
1652C4—201no—
1653C2—24no—
1654C2—104no—
1655C2—104no—
1656C2—401no—
1657C2—401no—
1658C2D5×#52511yescharacteristic
1659C2C2×#6602611yescharacteristic
1660C2D5×#53911yescharacteristic
1661C2#1061856311yescharacteristic
1662C2#1061866011yescharacteristic
1663C2#1061876111yescharacteristic
1664C2#1061884811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2473C2
prime radical#10605779C2
hypercenter#2473D5
hypocenterC5#34989
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2473

Complements

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

NH ≅ G/Ntype
1. C2×#66026C2semidirect
2. C22×D5×C4⋊C4C2semidirect
3. C5×#2473C2semidirect
4. #10614763C2semidirect
5. #10613926C2semidirect
6. #10610090C2semidirect
7. #10609875C2semidirect
8. #10609695C2semidirect
9. #10609694C2semidirect
10. #10609693C2semidirect
11. #10609683C2semidirect
12. #10609682C2semidirect
13. #10609488C2semidirect
14. #10607956C2semidirect
15. #10607927C2semidirect
16. #10607050C2semidirect
17. #10607028C2semidirect
18. #10607027C2semidirect
19. #10606750C2semidirect
20. #10606387C2semidirect
21. #10606387C2semidirect
22. #10606386C2semidirect
23. #10606185C2semidirect
24. #10606153C2semidirect
25. #10606152C2semidirect
26. #10606149C2semidirect
27. #10606110C2semidirect
29. #10605639C2semidirect
30. C4×#4028C2semidirect
31. #10605234C2semidirect
35. C2×C5×#125C22semidirect
43. C2×#4044C22semidirect
44. C2×#4043C22semidirect
47. C2×#4042C22semidirect
54. C2×#4040C22semidirect
55. C2×#4040C22semidirect
67. C2×#4035C22semidirect
72. C2×#4022C22semidirect
75. C5×#400C22semidirect
76. C5×#398C22semidirect
77. C5×#398C22semidirect
78. C5×#398C22semidirect
79. C5×#389C22semidirect
80. C5×#387C22semidirect
81. C5×#387C22semidirect
92. #65283C22semidirect
93. #65283C22semidirect
94. #65282C22semidirect
95. #65281C22semidirect
96. #65281C22semidirect
97. #65281C22semidirect
98. #65280C22semidirect
99. #65279C22semidirect
108. #65278C22semidirect
109. #65278C22semidirect
112. #65275C22semidirect
113. #65274C22semidirect
114. #65273C22semidirect
115. #65273C22semidirect
116. #65272C22semidirect
117. #65272C22semidirect
118. #65270C22semidirect
119. #65270C22semidirect
120. #65269C22semidirect
121. #65268C22semidirect
122. #65267C22semidirect
123. #65261C22semidirect
136. #65229C22semidirect
139. #65222C22semidirect
140. #65222C22semidirect
141. #64966C22semidirect
142. #64965C22semidirect
143. #64965C22semidirect
144. #64964C22semidirect
145. #64964C22semidirect
146. #64963C22semidirect
147. #64961C22semidirect
148. #64959C22semidirect
149. #64958C22semidirect
154. #64957C22semidirect
155. #64957C22semidirect
176. #64949C22semidirect
177. #64947C22semidirect
178. #64947C22semidirect
179. #64947C22semidirect
180. #64946C22semidirect
181. #64946C22semidirect
182. #64945C22semidirect
183. #64944C22semidirect
184. #64943C22semidirect
185. #64942C22semidirect
186. #64941C22semidirect
187. #64941C22semidirect
188. #64936C22semidirect
343. D5×C4⋊C4D4semidirect
409. #2473D5semidirect
641. C2×#125C2×D5semidirect
682. #400C2×D5semidirect
694. #398C2×D5semidirect
695. #398C2×D5semidirect
696. #398C2×D5semidirect
712. #389C2×D5semidirect
727. #387C2×D5semidirect
728. #387C2×D5semidirect
1148. C22×C5#539semidirect
1184. C2×D5#539semidirect
1583. C5#34989semidirect
1619. C22#66026semidirect

Maximal subgroups

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

subgroupindex
C2×#660262
C22×D5×C4⋊C42
C5×#24732
#106147632
#106139262
#106100902
#106098752
#106096952
#106096942
#106096932
#106096832
#106096822
#106094882
#106079562
#106079272
#106070502
#106070282
#106070272
#106067502
#106063872
#106063862
#106061852
#106061532
#106061522
#106061492
#106061102
#106057792
#106056392
C4×#40282
#106052342
#349895