Finite Group Databasebeta

← #12271868

Subgroups — #12271868

Order 1280.

3038 conjugacy classes of subgroups.

The subgroup lattice has 1792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65987C211yesmaximal, characteristic
2C2×C4×D4×D5C211yesmaximal, characteristic, complemented
3C5×#2419C211yesmaximal, characteristic, complemented
4#10614575C211yesmaximal, characteristic, complemented
5#10614135C211yesmaximal, characteristic, complemented
6#10610090C211yesmaximal, characteristic, complemented
7#10610074C211yesmaximal, characteristic, complemented
8#10609694C211yesmaximal, characteristic, complemented
9#10609682C211yesmaximal, characteristic, complemented
10#10609416C211yesmaximal, characteristic, complemented
11#10609416C211yesmaximal, characteristic, complemented
12#10609405C211yesmaximal, characteristic, complemented
13#10609404C211yesmaximal, characteristic, complemented
14#10607178C211yesmaximal, characteristic, complemented
15#10607178C211yesmaximal, characteristic, complemented
16#10607051C211yesmaximal, characteristic, complemented
17#10607050C211yesmaximal, characteristic, complemented
18#10606622C211yesmaximal, characteristic, complemented
19#10606605C211yesmaximal, characteristic, complemented
20#10606387C211yesmaximal, characteristic, complemented
21#10606339C211yesmaximal, characteristic, complemented
22#10606334C211yesmaximal, characteristic, complemented
23D5×#385C211yesmaximal, characteristic, complemented
24#10605877C211yesmaximal, characteristic, complemented
25#10605859C211yesmaximal, characteristic, complemented
26#10605850C211yesmaximal, characteristic, complemented
27#10605796C211yesmaximal, characteristic, complemented
28#10605752C211yesmaximal, characteristic, complemented
29#10605736C211yesmaximal, characteristic, complemented
30#10605106C211yesmaximal, characteristic, complemented
31C2×#64954C211yesmaximal, characteristic, complemented
32C22×D4×D5C2211yescharacteristic
33C23×D20C2211yescharacteristic
34C23×C4×D5C2211yescharacteristic
35C23×C4×D5C2211yescharacteristic, complemented
36C2×C5×#123C2211yescharacteristic
37C2×C4×C5×D4C2211yescharacteristic
38C2×#4083C2211yescharacteristic
39C2×D4×Dic5C2211yescharacteristic
40C2×#4075C2211yescharacteristic
41C2×#4075C2211yescharacteristic, complemented
42C2×C4×C22⋊D5C2211yescharacteristic
43C2×C4×C22⋊D5C2211yescharacteristic, complemented
44C22×#685C2211yescharacteristic
45C22×#685C2211yescharacteristic, complemented
46C22×#685C2211yescharacteristic, complemented
47#65987—28no—
48C4×D4×D5—28no—
49C2×#4041C2211yescharacteristic
50C2×#4041C2211yescharacteristic
51C2×#4040C2211yescharacteristic
52C2×#4040C2211yescharacteristic
53C2×#4040C2211yescharacteristic, complemented
54C2×#4040C2211yescharacteristic, complemented
55C2×#4039C2211yescharacteristic, complemented
56C2×D5×C4⋊C4C2211yescharacteristic, complemented
57C2×D5×C4⋊C4C2211yescharacteristic, complemented
58C2×D5×C4⋊C4C2211yescharacteristic, complemented
59C2×#4032C2211yescharacteristic, complemented
60C2×#4030C2211yescharacteristic
61C2×#4030C2211yescharacteristic
62C2×#4028C2211yescharacteristic
63C2×#4028C2211yescharacteristic
64C2×#4028C2211yescharacteristic
65C2×#4027C2211yescharacteristic
66C2×#4027C2211yescharacteristic, complemented
67C2×D5×C22⋊C4C2211yescharacteristic
68C2×D5×C22⋊C4C2211yescharacteristic
69C2×D5×C22⋊C4C2211yescharacteristic
70C2×D5×C22⋊C4C2211yescharacteristic, complemented
71C2×C4×D20C2211yescharacteristic, complemented
72C2×C42×D5C2211yescharacteristic, complemented
73C5×#400C2211yescharacteristic, complemented
74C5×#398C2211yescharacteristic, complemented
75C5×#397C2211yescharacteristic, complemented
76C5×#397C2211yescharacteristic, complemented
77C5×#387C2211yescharacteristic, complemented
78C5×#387C2211yescharacteristic, complemented
79C5×#386C2211yescharacteristic
80C5×#385C2211yescharacteristic, complemented
81C5×#385C2211yescharacteristic, complemented
82C5×#381C2211yescharacteristic, complemented
83C5×#381C2211yescharacteristic, complemented
84C5×#380C2211yescharacteristic, complemented
85C2×C5×#95C2211yescharacteristic, complemented
86#65509C2211yescharacteristic
87#65502C2211yescharacteristic
88#65502C2211yescharacteristic, complemented
89#65501C2211yescharacteristic, complemented
90#65500C2211yescharacteristic, complemented
91#65499C2211yescharacteristic, complemented
92C2×#3963C2211yescharacteristic, complemented
93#65282C2211yescharacteristic, complemented
94#65281C2211yescharacteristic, complemented
95#65281C2211yescharacteristic, complemented
96#65281C2211yescharacteristic, complemented
97#65280C2211yescharacteristic, complemented
98#65280C2211yescharacteristic, complemented
99#65279C2211yescharacteristic, complemented
100#65279C2211yescharacteristic, complemented
101#65278C2211yescharacteristic, complemented
102#65278C2211yescharacteristic, complemented
103#65278C2211yescharacteristic, complemented
104#65278C2211yescharacteristic, complemented
105#65278C2211yescharacteristic, complemented
106#65278C2211yescharacteristic, complemented
107#65275C2211yescharacteristic, complemented
108#65272C2211yescharacteristic, complemented
109#65267C2211yescharacteristic, complemented
110#65267C2211yescharacteristic, complemented
111#65250C2211yescharacteristic, complemented
112#65250C2211yescharacteristic, complemented
113#65248C2211yescharacteristic, complemented
114#65248C2211yescharacteristic, complemented
115#65247C2211yescharacteristic
116#65247C2211yescharacteristic, complemented
117#65245C2211yescharacteristic, complemented
118#65245C2211yescharacteristic, complemented
119#65244C2211yescharacteristic, complemented
120#65244C2211yescharacteristic, complemented
121#65244C2211yescharacteristic, complemented
122#65244C2211yescharacteristic, complemented
123#65241C2211yescharacteristic, complemented
124#65241C2211yescharacteristic, complemented
125#65239C2211yescharacteristic, complemented
126#65235C2211yescharacteristic, complemented
127#65235C2211yescharacteristic, complemented
128#65232C2211yescharacteristic, complemented
129#65231C2211yescharacteristic, complemented
130#65231C2211yescharacteristic, complemented
131#65229C2211yescharacteristic, complemented
132#65229C2211yescharacteristic, complemented
133#64966C2211yescharacteristic, complemented
134#64964C2211yescharacteristic, complemented
135#64964C2211yescharacteristic, complemented
136#64964C2211yescharacteristic, complemented
137#64964C2211yescharacteristic, complemented
138#64963C2211yescharacteristic, complemented
139#64963C2211yescharacteristic, complemented
140#64963C2211yescharacteristic, complemented
141#64961C2211yescharacteristic, complemented
142#64961C2211yescharacteristic, complemented
143#64959C2211yescharacteristic, complemented
144#64959C2211yescharacteristic, complemented
145#64958C2211yescharacteristic, complemented
146#64958C2211yescharacteristic, complemented
147#64957C2211yescharacteristic, complemented
148#64957C2211yescharacteristic, complemented
149#64957C2211yescharacteristic, complemented
150#64957C2211yescharacteristic, complemented
151#64957C2211yescharacteristic, complemented
152#64957C2211yescharacteristic, complemented
153#64957C2211yescharacteristic, complemented
154#64957C2211yescharacteristic, complemented
155#64954C2211yescharacteristic
156#64954C2211yescharacteristic
157#64954C2211yescharacteristic
158#64954C2211yescharacteristic
159#64954C2211yescharacteristic
160#64954C2211yescharacteristic
161#64954C2211yescharacteristic
162#64954C2211yescharacteristic
163#64954C2211yescharacteristic, complemented
164#64954C2211yescharacteristic, complemented
165#64954C2211yescharacteristic, complemented
166#64954C2211yescharacteristic, complemented
167#64954C2211yescharacteristic, complemented
168#64954C2211yescharacteristic, complemented
169#64954C2211yescharacteristic, complemented
170#64954C2211yescharacteristic, complemented
171#64954C2211yescharacteristic, complemented
172#64954C2211yescharacteristic, complemented
173#64954C2211yescharacteristic, complemented
174#64954C2211yescharacteristic, complemented
175#64953C2211yescharacteristic, complemented
176#64953C2211yescharacteristic, complemented
177#64953C2211yescharacteristic, complemented
178#64953C2211yescharacteristic, complemented
179D5×#95C2211yescharacteristic, complemented
180D5×#95C2211yescharacteristic, complemented
181#64947C2211yescharacteristic, complemented
182#64947C2211yescharacteristic, complemented
183#64946C2211yescharacteristic, complemented
184#64946C2211yescharacteristic, complemented
185#64943C2211yescharacteristic, complemented
186#64943C2211yescharacteristic, complemented
187#64941C2211yescharacteristic, complemented
188#64941C2211yescharacteristic, complemented
189#34983—51nomaximal, Sylow
190C24×D5C2311yescharacteristic
191C24×D5C2311yescharacteristic
192C24×D5C2311yescharacteristic
193C22×C5×D4C2311yescharacteristic
194C23×C4×C5C2311yescharacteristic
195C23×C4×C5C2311yescharacteristic
196C23×C4×C5C2311yescharacteristic
197C23×C4×C5C2311yescharacteristic
198C22×C22⋊D5C2311yescharacteristic
199C22×C22⋊D5C2311yescharacteristic
200C22×C22⋊D5C2311yescharacteristic
201C22×C22⋊D5C2311yescharacteristic
202C23×Dic5C2311yescharacteristic
203C23×Dic5C2311yescharacteristic
204C23×Dic5C2311yescharacteristic
205C2×D4×D5—24no—
206C2×D4×D5—24no—
207C2×D4×D5D418yes—
208C22×D20—24no—
209C22×D20—24no—
210C22×D20—24no—
211C22×D20C2311yescharacteristic
212C22×D20C2311yescharacteristic
213C22×D20C2311yescharacteristic
214C22×D20C2311yescharacteristic
215C22×D20C2311yescharacteristic
216C22×D20C2311yescharacteristic
217C22×D20C2311yescharacteristic
218C22×C4×D5—24no—
219C22×C4×D5—24no—
220C22×C4×D5—42no—
221C22×C4×D5—42no—
222C22×C4×D5—42no—
223C22×C4×D5—42no—
224C22×C4×D5C2311yescharacteristic
225C22×C4×D5C2311yescharacteristic
226C22×C4×D5C2311yescharacteristic
227C22×C4×D5C2311yescharacteristic
228C22×C4×D5C2311yescharacteristic
229C22×C4×D5C2311yescharacteristic
230C22×C4×D5C2311yescharacteristic
231C22×C4×D5C2311yescharacteristic
232C22×C4×D5C2311yescharacteristic
233C22×C4×D5C2311yescharacteristic
234C22×C4×D5C2311yescharacteristic
235C22×C4×D5C2311yescharacteristic
236C22×C4×D5C2311yescharacteristic
237C5×#123—24no—
238C4×C5×D4—24no—
239C2×C5×C4⋊C4C2311yescharacteristic
240C2×C5×C4⋊C4C2311yescharacteristic
241C2×C5×C4⋊C4C2311yescharacteristic
242C2×C5×C4⋊C4C2311yescharacteristic
243C2×C5×C4⋊C4C2311yescharacteristic
244C2×C5×C4⋊C4C2311yescharacteristic
245C2×C5×C4⋊C4C2311yescharacteristic
246C2×C5×C22⋊C4C2311yescharacteristic
247C2×C5×C22⋊C4C2311yescharacteristic
248C2×C5×C22⋊C4C2311yescharacteristic
249C2×C5×C22⋊C4C2311yescharacteristic
250C2×C5×C22⋊C4C2311yescharacteristic
251C2×C5×C22⋊C4C2311yescharacteristic
252C2×C5×C22⋊C4C2311yescharacteristic
253C2×C5×C22⋊C4C2311yescharacteristic
254C2×C42×C5C2311yescharacteristic
255C2×C22⋊Dic5C2311yescharacteristic
256C2×C22⋊Dic5C2311yescharacteristic
257C2×C22⋊Dic5C2311yescharacteristic
258C2×C22⋊Dic5C2311yescharacteristic
259C2×C22⋊Dic5C2311yescharacteristic
260C2×C22⋊Dic5C2311yescharacteristic
261#4083—24no—
262D4×Dic5—24no—
263#4075—24no—
264#4075—42no—
265C4×C22⋊D5—24no—
266C4×C22⋊D5—24no—
267C2×#685—24no—
268C2×#685—42no—
269C2×#685—42no—
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×#685C2311yescharacteristic
287C2×#685C2311yescharacteristic
288C2×#685C2311yescharacteristic
289C2×#685C2311yescharacteristic
290C2×#685C2311yescharacteristic
291C2×#685C2311yescharacteristic
292C2×#685C2311yescharacteristic
293C2×#685C2311yescharacteristic
294C2×#685C2311yescharacteristic
295C2×#685C2311yescharacteristic
296C2×#685C2311yescharacteristic
297C2×#685C2311yescharacteristic
298C2×#685C2311yescharacteristic
299C2×#685C2311yescharacteristic
300C2×#685C2311yescharacteristic
301C2×#685C2311yescharacteristic
302C2×#685C2311yescharacteristic
303C2×#685C2311yescharacteristic
304C2×#685C2311yescharacteristic
305C2×#685C2311yescharacteristic
306C2×#685C2311yescharacteristic
307C2×#685C2311yescharacteristic
308C2×C4⋊Dic5C2311yescharacteristic
309C2×C4⋊Dic5C2311yescharacteristic
310C2×C4⋊Dic5C2311yescharacteristic
311C2×C4⋊Dic5C2311yescharacteristic
312C2×C4⋊Dic5C2311yescharacteristic
313C2×#683C2311yescharacteristic
314C2×#683C2311yescharacteristic
315C2×#683C2311yescharacteristic
316C2×#683C2311yescharacteristic
317C2×#683C2311yescharacteristic
318C2×#683C2311yescharacteristic
319C2×#683C2311yescharacteristic
320C2×#683C2311yescharacteristic
321C2×#683C2311yescharacteristic
322C2×#683C2311yescharacteristic
323C2×#683C2311yescharacteristic
324C2×#683C2311yescharacteristic
325C2×C4×Dic5C2311yescharacteristic
326C2×C4×Dic5C2311yescharacteristic
327C2×C4×Dic5C2311yescharacteristic
328#4041—24no—
329#4041—24no—
330#4040—24no—
331#4040—24no—
332#4040—42no—
333#4040—42no—
334#4039—24no—
335D5×C4⋊C4—24no—
336D5×C4⋊C4—42no—
337D5×C4⋊C4—42no—
338#4032—42no—
339#4030—24no—
340#4030—24no—
341#4028—24no—
342#4028—24no—
343#4028—24no—
344#4027—24no—
345#4027—24no—
346D5×C22⋊C4—24no—
347D5×C22⋊C4—24no—
348D5×C22⋊C4—24no—
349D5×C22⋊C4—24no—
350C4×D20—24no—
351C42×D5—24no—
352C5×#95C2311yescharacteristic
353C5×#95C2311yescharacteristic
354C5×#95C2311yescharacteristic
355C5×#95C2311yescharacteristic
356C5×#95C2311yescharacteristic
357C5×#95C2311yescharacteristic
358C5×#95C2311yescharacteristic
359C5×#95C2311yescharacteristic
360C5×#95C2311yescharacteristic
361C5×#95C2311yescharacteristic
362C5×#95C2311yescharacteristic
363C5×#95C2311yescharacteristic
364C5×#95C2311yescharacteristic
365C5×#95C2311yescharacteristic
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×#534—51no—
393C22×C4×D4—51no—
394#2853—51no—
395#2853—51no—
396#2849—51no—
397#2849—51no—
398#2623—51no—
399#2623—51no—
400#2622—51no—
401#2622—51no—
402#2444—51no—
403#2444—51no—
404#2444—51no—
405#2444—51no—
406#2443—51no—
407#2443—51no—
408#2443—51no—
409#2443—51no—
410#2419—51no—
411#2419—51no—
412#2419—51no—
413#2419D511yescharacteristic, complemented
414#2418—51no—
415#2418—51no—
416#2418—51no—
417#2418—51no—
418#2315—51no—
419#2308—51no—
420#2308—51no—
421C2×#386—51no—
422C2×#385—51no—
423C24×C5C2411yescharacteristic
424C24×C5C2411yescharacteristic
425C23×D5—22no—
426C23×D5—22no—
427C23×D5—22no—
428C23×D5—22no—
429C23×D5—22no—
430C23×D5—41no—
431C23×D5—41no—
432C23×D5—41no—
433C23×D5—41no—
434C23×D5—41no—
435C23×D5—41no—
436C23×D5—41no—
437C23×D5—41no—
438C23×D5—41no—
439C23×D5—41no—
440C23×D5—41no—
441C23×D5—41no—
442C23×D5C2×D414yes—
443C23×D5C2×D414yes—
444C23×D5#4114yes—
445C23×D5#4114yes—
446C23×D5C2411yescharacteristic
447C23×D5C2411yescharacteristic
448C23×D5C2411yescharacteristic
449C23×D5C2411yescharacteristic
450C23×D5C2411yescharacteristic
451C2×C5×D4—22no—
452C2×C5×D4—22no—
453C2×C5×D4C2×D414yes—
454C22×C4×C5—22no—
455C22×C4×C5—22no—
456C22×C4×C5—22no—
457C22×C4×C5—22no—
458C22×C4×C5—22no—
459C22×C4×C5—22no—
460C22×C4×C5—22no—
461C22×C4×C5—22no—
462C22×C4×C5—41no—
463C22×C4×C5—41no—
464C22×C4×C5—41no—
465C22×C4×C5—41no—
466C22×C4×C5C2411yescharacteristic
467C22×C4×C5C2411yescharacteristic
468C22×C4×C5C2411yescharacteristic
469C22×C4×C5C2411yescharacteristic
470C22×C4×C5C2411yescharacteristic
471C22×C4×C5C2411yescharacteristic
472C22×C4×C5C2411yescharacteristic
473C22×C4×C5C2411yescharacteristic
474C22×C4×C5C2411yescharacteristic
475C22×C4×C5C2411yescharacteristic
476C22×C4×C5C2411yescharacteristic
477C22×C4×C5C2411yescharacteristic
478C22×C4×C5C2411yescharacteristic
479C2×C22⋊D5—22no—
480C2×C22⋊D5—22no—
481C2×C22⋊D5—22no—
482C2×C22⋊D5—22no—
483C2×C22⋊D5—22no—
484C2×C22⋊D5—22no—
485C2×C22⋊D5—41no—
486C2×C22⋊D5—41no—
487C2×C22⋊D5—41no—
488C2×C22⋊D5—41no—
489C2×C22⋊D5C2×D414yes—
490C2×C22⋊D5C2×D414yes—
491C22×Dic5—22no—
492C22×Dic5—22no—
493C22×Dic5—22no—
494C22×Dic5—22no—
495C22×Dic5—22no—
496C22×Dic5—41no—
497C22×Dic5—41no—
498C22×Dic5—41no—
499C22×Dic5—41no—
500C22×Dic5C2411yescharacteristic
501C22×Dic5C2411yescharacteristic
502C22×Dic5C2411yescharacteristic
503C22×Dic5C2411yescharacteristic
504C22×Dic5C2411yescharacteristic
505C22×Dic5C2411yescharacteristic
506C22×Dic5C2411yescharacteristic
507C22×Dic5C2411yescharacteristic
508C22×Dic5C2411yescharacteristic
509C22×Dic5C2411yescharacteristic
510C22×Dic5C2411yescharacteristic
511D4×D5—232no—
512C2×D20—22no—
513C2×D20—22no—
514C2×D20—22no—
515C2×D20—22no—
516C2×D20—22no—
517C2×D20—22no—
518C2×D20—22no—
519C2×D20—22no—
520C2×D20—22no—
521C2×D20—22no—
522C2×D20—22no—
523C2×D20—22no—
524C2×D20—22no—
525C2×D20—22no—
526C2×D20—22no—
527C2×D20—22no—
528C2×D20—416no—
529C2×D20—41no—
530C2×D20—41no—
531C2×D20—41no—
532C2×D20—41no—
533C2×D20C2×D414yes—
534C2×C4×D5—22no—
535C2×C4×D5—22no—
536C2×C4×D5—22no—
537C2×C4×D5—22no—
538C2×C4×D5—22no—
539C2×C4×D5—22no—
540C2×C4×D5—22no—
541C2×C4×D5—22no—
542C2×C4×D5—22no—
543C2×C4×D5—22no—
544C2×C4×D5—22no—
545C2×C4×D5—22no—
546C2×C4×D5—22no—
547C2×C4×D5—22no—
548C2×C4×D5—22no—
549C2×C4×D5—22no—
550C2×C4×D5—22no—
551C2×C4×D5—22no—
552C2×C4×D5—22no—
553C2×C4×D5—22no—
554C2×C4×D5—416no—
555C2×C4×D5—416no—
556C2×C4×D5—41no—
557C2×C4×D5—41no—
558C2×C4×D5—41no—
559C2×C4×D5—41no—
560C2×C4×D5—41no—
561C2×C4×D5—41no—
562C2×C4×D5—41no—
563C2×C4×D5—41no—
564C2×C4×D5—41no—
565C2×C4×D5—41no—
566C2×C4×D5—41no—
567C2×C4×D5—41no—
568C2×C4×D5—41no—
569C2×C4×D5—41no—
570C2×C4×D5—41no—
571C2×C4×D5—41no—
572C2×C4×D5—41no—
573C2×C4×D5—41no—
574C2×C4×D5C2×D414yes—
575C5×C4⋊C4—22no—
576C5×C4⋊C4—22no—
577C5×C4⋊C4—22no—
578C5×C4⋊C4—22no—
579C5×C4⋊C4—41no—
580C5×C4⋊C4—41no—
581C5×C4⋊C4—41no—
582C5×C22⋊C4—22no—
583C5×C22⋊C4—22no—
584C5×C22⋊C4—22no—
585C5×C22⋊C4—22no—
586C5×C22⋊C4—22no—
587C5×C22⋊C4—22no—
588C5×C22⋊C4—41no—
589C5×C22⋊C4—41no—
590C42×C5—22no—
591C22⋊Dic5—22no—
592C22⋊Dic5—22no—
593C22⋊Dic5—22no—
594C22⋊Dic5—22no—
595C22⋊Dic5—41no—
596C22⋊Dic5—41no—
597#685—22no—
598#685—22no—
599#685—22no—
600#685—22no—
601#685—22no—
602#685—22no—
603#685—22no—
604#685—22no—
605#685—22no—
606#685—22no—
607#685—22no—
608#685—22no—
609#685—22no—
610#685—22no—
611#685—22no—
612#685—22no—
613#685—22no—
614#685—22no—
615#685—22no—
616#685—22no—
617#685—22no—
618#685—22no—
619#685—41no—
620#685—41no—
621#685—41no—
622#685—41no—
623#685—41no—
624#685—41no—
625#685—41no—
626#685—41no—
627#685—41no—
628#685—41no—
629#685—41no—
630#685—41no—
631#685—41no—
632#685—41no—
633#685—41no—
634#685—41no—
635C4⋊Dic5—22no—
636C4⋊Dic5—22no—
637C4⋊Dic5—41no—
638C4⋊Dic5—41no—
639C4⋊Dic5—41no—
640#683—22no—
641#683—22no—
642#683—22no—
643#683—22no—
644#683—22no—
645#683—22no—
646#683—41no—
647#683—41no—
648#683—41no—
649#683—41no—
650#683—41no—
651#683—41no—
652C4×Dic5—22no—
653C4×Dic5—22no—
654C4×Dic5—22no—
655C23×D4—51no—
656C23×D4—51no—
657C24×C4—51no—
658C24×C4—51no—
659#534—108no—
660C2×#123—51no—
661C2×#123—51no—
662C2×#123—51no—
663C2×#123—51no—
664C2×#123—51no—
665C2×#123—51no—
666C2×#123—51no—
667C2×#123C2×D511yescharacteristic
668C2×#121—51no—
669C2×#121—51no—
670C2×#121—51no—
671C2×#121—51no—
672C2×#120—51no—
673C2×#120—51no—
674C2×#120—51no—
675C2×#120—51no—
676C2×C4×D4—51no—
677C2×C4×D4—51no—
678C2×C4×D4—51no—
679C2×C4×D4—51no—
680C2×C4×D4—51no—
681C2×C4×D4—51no—
682C2×C4×D4—51no—
683C2×C4×D4—108no—
684C2×C4×D4C2×D511yescharacteristic
685C22×C4⋊C4—51no—
686C22×C4⋊C4—51no—
687C22×C4⋊C4—51no—
688C22×C22⋊C4—51no—
689C22×C22⋊C4—51no—
690C22×C22⋊C4—51no—
691C22×C22⋊C4—51no—
692C22×C22⋊C4—51no—
693C22×C22⋊C4—51no—
694C22×C22⋊C4—51no—
695C22×C42—51no—
696#400—51no—
697#400—51no—
698#400—51no—
699#400C2×D511yescharacteristic, complemented
700#399—51no—
701#399—51no—
702#399—51no—
703#399—51no—
704#398—51no—
705#398—51no—
706#398—51no—
707#398C2×D511yescharacteristic, complemented
708#397—51no—
709#397—51no—
710#397—51no—
711#397—51no—
712#397—51no—
713#397—51no—
714#397—51no—
715#397—51no—
716#397—51no—
717#397—51no—
718#397C2×D511yescharacteristic, complemented
719#397C2×D511yescharacteristic, complemented
720#394—51no—
721#394—51no—
722#394—51no—
723#394—51no—
724#394—51no—
725#394—51no—
726#394—51no—
727#394—51no—
728#388—51no—
729#388—51no—
730#388—51no—
731#388—51no—
732#388—51no—
733#388—51no—
734#388—51no—
735#388—51no—
736#387—51no—
737#387—51no—
738#387—51no—
739#387—51no—
740#387—51no—
741#387—51no—
742#387C2×D511yescharacteristic, complemented
743#387C2×D511yescharacteristic, complemented
744#386—51no—
745#386—51no—
746#386—51no—
747#386—51no—
748#386—51no—
749#386—51no—
750#386—51no—
751#386—51no—
752#386—51no—
753#386—51no—
754#386—51no—
755#386—51no—
756#386—51no—
757#386—51no—
758#386—51no—
759#386—51no—
760#386—51no—
761#386—51no—
762#386—51no—
763#386—51no—
764#386—51no—
765#386—51no—
766#386—51no—
767#386—51no—
768#386—51no—
769#386—51no—
770#386—51no—
771#386C2×D511yescharacteristic
772#385—51no—
773#385—51no—
774#385—51no—
775#385—51no—
776#385—51no—
777#385—51no—
778#385—51no—
779#385—51no—
780#385—51no—
781#385—51no—
782#385—51no—
783#385—51no—
784#385—51no—
785#385—51no—
786#385—51no—
787#385—51no—
788#385—51no—
789#385—51no—
790#385C2×D511yescharacteristic, complemented
791#385C2×D511yescharacteristic, complemented
792#381—51no—
793#381—51no—
794#381—51no—
795#381—51no—
796#381—51no—
797#381—51no—
798#381C2×D511yescharacteristic, complemented
799#381C2×D511yescharacteristic, complemented
800#380—51no—
801#380—51no—
802#380—51no—
803#380C2×D511yescharacteristic, complemented
804#379—51no—
805#379—51no—
806#379—51no—
807#379—51no—
808C2×#95—51no—
809C2×#95—51no—
810C2×#95—51no—
811C2×#95C2×D511yescharacteristic, complemented
812C23×C5—21no—
813C23×C5—21no—
814C23×C5—21no—
815C23×C5—21no—
816C23×C5—21no—
817C23×C5—21no—
818C23×C5—21no—
819C23×C5—21no—
820C23×C5—21no—
821C23×C5—21no—
822C23×C5C22×D412yes—
823C23×C5C22×D412yes—
824C23×C5C2×#4112yes—
825C23×C5C2×#4112yes—
826C23×C5C2511yescharacteristic
827C22×D5—21no—
828C22×D5—21no—
829C22×D5—21no—
830C22×D5—21no—
831C22×D5—21no—
832C22×D5—21no—
833C22×D5—21no—
834C22×D5—21no—
835C22×D5—21no—
836C22×D5—21no—
837C22×D5—21no—
838C22×D5—21no—
839C22×D5—21no—
840C22×D5—21no—
841C22×D5—28no—
842C22×D5—21no—
843C22×D5—21no—
844C22×D5—21no—
845C22×D5—21no—
846C22×D5—21no—
847C22×D5—21no—
848C22×D5—21no—
849C22×D5—21no—
850C22×D5—21no—
851C22×D5—21no—
852C22×D5—21no—
853C22×D5—21no—
854C22×D5—21no—
855C22×D5—21no—
856C22×D5—44no—
857C22×D5—44no—
858C22×D5—44no—
859C22×D5—44no—
860C22×D5—44no—
861C22×D5—44no—
862C22×D5—44no—
863C22×D5—44no—
864C22×D5—44no—
865C22×D5—44no—
866C22×D5—44no—
867C22×D5—44no—
868C22×D5—44no—
869C22×D5—44no—
870C22×D5—44no—
871C22×D5—82no—
872C22×D5—82no—
873C22×D5—82no—
874C22×D5—82no—
875C22×D5#123116yescomplemented
876C22×D5C22×D412yes—
877C22×D5C22×D412yes—
878C22×D5C22×D412yes—
879C22×D5C2×#4112yes—
880C22×D5C2×#4112yes—
881C22×D5C2×#4112yes—
882C22×D5C2×#4112yes—
883C5×D4—28no—
884C2×C4×C5—21no—
885C2×C4×C5—21no—
886C2×C4×C5—21no—
887C2×C4×C5—21no—
888C2×C4×C5—21no—
889C2×C4×C5—21no—
890C2×C4×C5—21no—
891C2×C4×C5—21no—
892C2×C4×C5—21no—
893C2×C4×C5—21no—
894C2×C4×C5—21no—
895C2×C4×C5—21no—
896C2×C4×C5—21no—
897C2×C4×C5—21no—
898C2×C4×C5—21no—
899C2×C4×C5—21no—
900C2×C4×C5—21no—
901C2×C4×C5—21no—
902C2×C4×C5—21no—
903C2×C4×C5—21no—
904C2×C4×C5—21no—
905C2×C4×C5—21no—
906C2×C4×C5—21no—
907C2×C4×C5—21no—
908C2×C4×C5—21no—
909C2×C4×C5—21no—
910C2×C4×C5—21no—
911C2×C4×C5—21no—
912C2×C4×C5—21no—
913C2×C4×C5—21no—
914C2×C4×C5—21no—
915C2×C4×C5—21no—
916C2×C4×C5—21no—
917C2×C4×C5—21no—
918C2×C4×C5—21no—
919C2×C4×C5—21no—
920C2×C4×C5—21no—
921C2×C4×C5—44no—
922C2×C4×C5—44no—
923C2×C4×C5—44no—
924C2×C4×C5—82no—
925C2×C4×C5C22×D412yes—
926C2×C4×C5H(5,𝔽2)12yes—
927C22⋊D5—28no—
928C22⋊D5—28no—
929C22⋊D5—82no—
930C22⋊D5—82no—
931C2×Dic5—21no—
932C2×Dic5—21no—
933C2×Dic5—21no—
934C2×Dic5—21no—
935C2×Dic5—21no—
936C2×Dic5—21no—
937C2×Dic5—21no—
938C2×Dic5—21no—
939C2×Dic5—21no—
940C2×Dic5—21no—
941C2×Dic5—21no—
942C2×Dic5—21no—
943C2×Dic5—21no—
944C2×Dic5—21no—
945C2×Dic5—21no—
946C2×Dic5—21no—
947C2×Dic5—21no—
948C2×Dic5—21no—
949C2×Dic5—21no—
950C2×Dic5—21no—
951C2×Dic5—21no—
952C2×Dic5—21no—
953C2×Dic5—21no—
954C2×Dic5—21no—
955C2×Dic5—21no—
956C2×Dic5—21no—
957C2×Dic5—21no—
958C2×Dic5—21no—
959C2×Dic5—21no—
960C2×Dic5—21no—
961C2×Dic5—21no—
962C2×Dic5—44no—
963C2×Dic5—44no—
964C2×Dic5—82no—
965C2×Dic5C22×D412yes—
966C2×Dic5H(5,𝔽2)12yes—
967D20—28no—
968D20—44no—
969D20—44no—
970D20—44no—
971D20—44no—
972D20—82no—
973D20—82no—
974C4×D5—28no—
975C4×D5—28no—
976C4×D5—44no—
977C4×D5—44no—
978C4×D5—44no—
979C4×D5—44no—
980C4×D5—44no—
981C4×D5—44no—
982C4×D5—44no—
983C4×D5—44no—
984C4×D5—44no—
985C4×D5—82no—
986C4×D5—82no—
987C25—51no—
988C25—51no—
989C25—51no—
990C22×D4—51no—
991C22×D4—51no—
992C22×D4—58no—
993C22×D4—51no—
994C22×D4—51no—
995C22×D4—51no—
996C22×D4—51no—
997C22×D4—51no—
998C22×D4—51no—
999C22×D4—51no—
1000C22×D4—51no—
1001C22×D4—51no—
1002C22×D4—104no—
1003C22×D4—104no—
1004C22×D4—104no—
1005C22×D4—104no—
1006C22×D4—104no—
1007C22×D4C22×D511yescharacteristic
1008C23×C4—51no—
1009C23×C4—51no—
1010C23×C4—51no—
1011C23×C4—51no—
1012C23×C4—51no—
1013C23×C4—51no—
1014C23×C4—51no—
1015C23×C4—51no—
1016C23×C4—51no—
1017C23×C4—51no—
1018C23×C4—51no—
1019C23×C4—51no—
1020C23×C4—51no—
1021C23×C4—51no—
1022C23×C4—51no—
1023C23×C4—51no—
1024C23×C4—104no—
1025C23×C4—104no—
1026C23×C4—202no—
1027C23×C4—202no—
1028C23×C4—202no—
1029C23×C4—202no—
1030C23×C4C22×D511yescharacteristic
1031C23×C4C22×D511yescharacteristic
1032C23×C4C22×D511yescharacteristic
1033C23×C4C22×D511yescharacteristic
1034#123—24no—
1035#123—104no—
1036#123—104no—
1037#123—104no—
1038#123—202no—
1039#123—202no—
1040#123—202no—
1041#123—202no—
1042#121—104no—
1043#121—104no—
1044#121—104no—
1045#121—104no—
1046#120—104no—
1047#120—104no—
1048#120—104no—
1049#120—104no—
1050C4×D4—24no—
1051C4×D4—104no—
1052C4×D4—104no—
1053C4×D4—104no—
1054C4×D4—104no—
1055C4×D4—104no—
1056C4×D4—104no—
1057C4×D4—104no—
1058C2×C4⋊C4—51no—
1059C2×C4⋊C4—51no—
1060C2×C4⋊C4—51no—
1061C2×C4⋊C4—51no—
1062C2×C4⋊C4—51no—
1063C2×C4⋊C4—51no—
1064C2×C4⋊C4—51no—
1065C2×C4⋊C4—51no—
1066C2×C4⋊C4—51no—
1067C2×C4⋊C4—51no—
1068C2×C4⋊C4—51no—
1069C2×C4⋊C4—51no—
1070C2×C4⋊C4—51no—
1071C2×C4⋊C4—51no—
1072C2×C4⋊C4—51no—
1073C2×C4⋊C4—51no—
1074C2×C4⋊C4—51no—
1075C2×C4⋊C4—104no—
1076C2×C4⋊C4—202no—
1077C2×C4⋊C4—202no—
1078C2×C4⋊C4C22×D511yescharacteristic
1079C2×C4⋊C4C22×D511yescharacteristic
1080C2×C4⋊C4C22×D511yescharacteristic
1081C2×C4⋊C4C22×D511yescharacteristic
1082C2×C4⋊C4C22×D511yescharacteristic
1083C2×C4⋊C4C22×D511yescharacteristic
1084C2×C4⋊C4C22×D511yescharacteristic
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⋊C4—51no—
1093C2×C22⋊C4—51no—
1094C2×C22⋊C4—51no—
1095C2×C22⋊C4—51no—
1096C2×C22⋊C4—51no—
1097C2×C22⋊C4—51no—
1098C2×C22⋊C4—51no—
1099C2×C22⋊C4—51no—
1100C2×C22⋊C4—51no—
1101C2×C22⋊C4—51no—
1102C2×C22⋊C4—51no—
1103C2×C22⋊C4—51no—
1104C2×C22⋊C4—51no—
1105C2×C22⋊C4—51no—
1106C2×C22⋊C4—51no—
1107C2×C22⋊C4—51no—
1108C2×C22⋊C4—51no—
1109C2×C22⋊C4—51no—
1110C2×C22⋊C4—51no—
1111C2×C22⋊C4—51no—
1112C2×C22⋊C4—51no—
1113C2×C22⋊C4—51no—
1114C2×C22⋊C4—51no—
1115C2×C22⋊C4—51no—
1116C2×C22⋊C4—51no—
1117C2×C22⋊C4—51no—
1118C2×C22⋊C4—51no—
1119C2×C22⋊C4—51no—
1120C2×C22⋊C4—51no—
1121C2×C22⋊C4—51no—
1122C2×C22⋊C4—51no—
1123C2×C22⋊C4—51no—
1124C2×C22⋊C4—51no—
1125C2×C22⋊C4—51no—
1126C2×C22⋊C4—51no—
1127C2×C22⋊C4—51no—
1128C2×C22⋊C4—51no—
1129C2×C22⋊C4—104no—
1130C2×C22⋊C4—104no—
1131C2×C22⋊C4—104no—
1132C2×C22⋊C4—104no—
1133C2×C22⋊C4—104no—
1134C2×C22⋊C4—202no—
1135C2×C22⋊C4—202no—
1136C2×C22⋊C4C22×D511yescharacteristic
1137C2×C22⋊C4C22×D511yescharacteristic
1138C2×C22⋊C4C22×D511yescharacteristic
1139C2×C22⋊C4C22×D511yescharacteristic
1140C2×C22⋊C4C22×D511yescharacteristic
1141C2×C22⋊C4C22×D511yescharacteristic
1142C2×C22⋊C4C22×D511yescharacteristic
1143C2×C22⋊C4C22×D511yescharacteristic
1144C2×C42—51no—
1145C2×C42—51no—
1146C2×C42—51no—
1147C2×C42—104no—
1148C2×C42C22×D511yescharacteristic
1149#95—51no—
1150#95—51no—
1151#95—51no—
1152#95—51no—
1153#95—51no—
1154#95—51no—
1155#95—51no—
1156#95—51no—
1157#95—51no—
1158#95—51no—
1159#95—51no—
1160#95—51no—
1161#95—51no—
1162#95—51no—
1163#95—51no—
1164#95—51no—
1165#95—51no—
1166#95—51no—
1167#95—51no—
1168#95—51no—
1169#95—51no—
1170#95—51no—
1171#95—51no—
1172#95—51no—
1173#95—51no—
1174#95—51no—
1175#95C22×D511yescharacteristic
1176#95C22×D511yescharacteristic
1177#95C22×D511yescharacteristic
1178#95C22×D511yescharacteristic
1179#95C22×D511yescharacteristic
1180#95C22×D511yescharacteristic
1181#95C22×D511yescharacteristic
1182#95C22×D511yescharacteristic
1183#95C22×D511yescharacteristic
1184#95C22×D511yescharacteristic
1185#95C22×D511yescharacteristic
1186#95C22×D511yescharacteristic
1187#95C22×D511yescharacteristic
1188#95C22×D511yescharacteristic
1189C22×C5—22no—
1190C22×C5—22no—
1191C22×C5—22no—
1192C22×C5—22no—
1193C22×C5—22no—
1194C22×C5—22no—
1195C22×C5—22no—
1196C22×C5—22no—
1197C22×C5—22no—
1198C22×C5—41no—
1199C22×C5—41no—
1200C22×C5—41no—
1201C22×C5—41no—
1202C22×C5C2×#12314yes—
1203C22×C5C23×D411yescharacteristic
1204C22×C5C22×#4111yescharacteristic
1205C22×C5C22×#4111yescharacteristic
1206C22×C5C2×H(5,𝔽2)11yescharacteristic
1207C22×C5C2×H(5,𝔽2)11yescharacteristic
1208C22×C5#58511yescharacteristic
1209C22×C5#58511yescharacteristic
1210C2×D5—22no—
1211C2×D5—22no—
1212C2×D5—22no—
1213C2×D5—22no—
1214C2×D5—22no—
1215C2×D5—22no—
1216C2×D5—22no—
1217C2×D5—22no—
1218C2×D5—22no—
1219C2×D5—22no—
1220C2×D5—22no—
1221C2×D5—22no—
1222C2×D5—22no—
1223C2×D5—22no—
1224C2×D5—22no—
1225C2×D5—416no—
1226C2×D5—416no—
1227C2×D5—41no—
1228C2×D5—41no—
1229C2×D5—41no—
1230C2×D5—41no—
1231C2×D5—41no—
1232C2×D5—41no—
1233C2×D5—41no—
1234C2×D5—41no—
1235C2×D5—41no—
1236C2×D5—41no—
1237C2×D5—41no—
1238C2×D5—41no—
1239C2×D5—41no—
1240C2×D5—41no—
1241C2×D5—41no—
1242C2×D5—41no—
1243C2×D5—41no—
1244C2×D5—41no—
1245C2×D5—88no—
1246C2×D5C2×#12314yes—
1247C2×D5C2×#12314yes—
1248C4×C5—22no—
1249C4×C5—22no—
1250C4×C5—41no—
1251C4×C5—41no—
1252C4×C5—41no—
1253C4×C5—41no—
1254C4×C5—41no—
1255C4×C5—41no—
1256C4×C5—41no—
1257C4×C5—41no—
1258C4×C5—41no—
1259C4×C5—41no—
1260C4×C5—41no—
1261Dic5—22no—
1262Dic5—22no—
1263Dic5—41no—
1264Dic5—41no—
1265Dic5—41no—
1266Dic5—41no—
1267Dic5—41no—
1268Dic5—41no—
1269Dic5—41no—
1270Dic5—41no—
1271Dic5—41no—
1272C24—51no—
1273C24—51no—
1274C24—54no—
1275C24—54no—
1276C24—54no—
1277C24—51no—
1278C24—54no—
1279C24—51no—
1280C24—51no—
1281C24—102no—
1282C24—102no—
1283C24—102no—
1284C24—102no—
1285C24—102no—
1286C24—201no—
1287C24—201no—
1288C24—201no—
1289C24—201no—
1290C24—201no—
1291C24—201no—
1292C24—201no—
1293C24—201no—
1294C24—201no—
1295C24—201no—
1296C24—201no—
1297C24—201no—
1298C24C23×D511yescharacteristic
1299C24C23×D511yescharacteristic
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—54no—
1303C2×D4—54no—
1304C2×D4—54no—
1305C2×D4—102no—
1306C2×D4—102no—
1307C2×D4—102no—
1308C2×D4—102no—
1309C2×D4—102no—
1310C2×D4—102no—
1311C2×D4—102no—
1312C2×D4—102no—
1313C2×D4—102no—
1314C2×D4—102no—
1315C2×D4—102no—
1316C2×D4—102no—
1317C2×D4—102no—
1318C2×D4—102no—
1319C2×D4—102no—
1320C2×D4—102no—
1321C2×D4—1032no—
1322C2×D4—102no—
1323C2×D4—102no—
1324C2×D4—102no—
1325C2×D4—102no—
1326C2×D4—102no—
1327C2×D4—102no—
1328C2×D4—201no—
1329C2×D4—201no—
1330C2×D4—201no—
1331C2×D4—201no—
1332C2×D4—2016no—
1333C2×D4—201no—
1334C2×D4—201no—
1335C2×D4—201no—
1336C2×D4—201no—
1337C2×D4D4×D514yes—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—51no—
1351C22×C4—51no—
1352C22×C4—54no—
1353C22×C4—51no—
1354C22×C4—51no—
1355C22×C4—51no—
1356C22×C4—51no—
1357C22×C4—51no—
1358C22×C4—51no—
1359C22×C4—51no—
1360C22×C4—51no—
1361C22×C4—51no—
1362C22×C4—102no—
1363C22×C4—102no—
1364C22×C4—102no—
1365C22×C4—102no—
1366C22×C4—102no—
1367C22×C4—102no—
1368C22×C4—102no—
1369C22×C4—102no—
1370C22×C4—102no—
1371C22×C4—102no—
1372C22×C4—102no—
1373C22×C4—102no—
1374C22×C4—102no—
1375C22×C4—102no—
1376C22×C4—102no—
1377C22×C4—102no—
1378C22×C4—102no—
1379C22×C4—102no—
1380C22×C4—102no—
1381C22×C4—102no—
1382C22×C4—102no—
1383C22×C4—102no—
1384C22×C4—102no—
1385C22×C4—102no—
1386C22×C4—102no—
1387C22×C4—201no—
1388C22×C4—201no—
1389C22×C4—201no—
1390C22×C4—201no—
1391C22×C4—201no—
1392C22×C4—201no—
1393C22×C4—201no—
1394C22×C4—201no—
1395C22×C4—201no—
1396C22×C4—201no—
1397C22×C4—201no—
1398C22×C4—201no—
1399C22×C4—201no—
1400C22×C4—201no—
1401C22×C4—201no—
1402C22×C4—201no—
1403C22×C4—201no—
1404C22×C4—201no—
1405C22×C4—2016no—
1406C22×C4—2016no—
1407C22×C4—201no—
1408C22×C4—201no—
1409C22×C4—201no—
1410C22×C4—201no—
1411C22×C4C23×D511yescharacteristic
1412C22×C4C23×D511yescharacteristic
1413C22×C4C23×D511yescharacteristic
1414C22×C4C23×D511yescharacteristic
1415C22×C4C23×D511yescharacteristic
1416C22×C4C23×D511yescharacteristic
1417C22×C4C23×D511yescharacteristic
1418C22×C4C23×D511yescharacteristic
1419C22×C4C23×D511yescharacteristic
1420C22×C4C23×D511yescharacteristic
1421C22×C4C23×D511yescharacteristic
1422C22×C4C23×D511yescharacteristic
1423C22×C4C23×D511yescharacteristic
1424C4⋊C4—22no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—41no—
1429C4⋊C4—41no—
1430C4⋊C4—41no—
1431C4⋊C4—102no—
1432C4⋊C4—102no—
1433C4⋊C4—102no—
1434C4⋊C4—102no—
1435C4⋊C4—102no—
1436C4⋊C4—102no—
1437C4⋊C4—102no—
1438C4⋊C4—102no—
1439C4⋊C4—201no—
1440C4⋊C4—201no—
1441C4⋊C4—201no—
1442C4⋊C4—201no—
1443C4⋊C4—201no—
1444C4⋊C4—201no—
1445C4⋊C4—201no—
1446C4⋊C4—201no—
1447C4⋊C4—201no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—22no—
1453C22⋊C4—22no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—102no—
1457C22⋊C4—102no—
1458C22⋊C4—102no—
1459C22⋊C4—102no—
1460C22⋊C4—102no—
1461C22⋊C4—102no—
1462C22⋊C4—102no—
1463C22⋊C4—102no—
1464C22⋊C4—102no—
1465C22⋊C4—102no—
1466C22⋊C4—102no—
1467C22⋊C4—102no—
1468C22⋊C4—102no—
1469C22⋊C4—102no—
1470C22⋊C4—102no—
1471C22⋊C4—102no—
1472C22⋊C4—102no—
1473C22⋊C4—102no—
1474C22⋊C4—102no—
1475C22⋊C4—102no—
1476C22⋊C4—102no—
1477C22⋊C4—102no—
1478C22⋊C4—102no—
1479C22⋊C4—102no—
1480C22⋊C4—102no—
1481C22⋊C4—102no—
1482C22⋊C4—201no—
1483C22⋊C4—201no—
1484C22⋊C4—201no—
1485C22⋊C4—201no—
1486C22⋊C4—201no—
1487C22⋊C4—201no—
1488C22⋊C4—201no—
1489C22⋊C4—201no—
1490C22⋊C4—201no—
1491C22⋊C4—201no—
1492C22⋊C4—201no—
1493C22⋊C4—201no—
1494C22⋊C4—201no—
1495C22⋊C4—201no—
1496C22⋊C4—201no—
1497C22⋊C4—201no—
1498C22⋊C4—201no—
1499C22⋊C4—201no—
1500C42—22no—
1501C42—102no—
1502C42—102no—
1503C42—102no—
1504C2×C5—24no—
1505C2×C5—42no—
1506C2×C5C22×#12311yescharacteristic
1507C2×C5#345911yescharacteristic
1508C2×C5#345911yescharacteristic
1509C2×C5#348411yescharacteristic
1510C2×C5#348511yescharacteristic
1511C2×C5#350511yescharacteristic
1512C2×C5#350511yescharacteristic
1513D5—24no—
1514D5—24no—
1515D5—42no—
1516D5—81no—
1517D5—81no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—52no—
1529C23—52no—
1530C23—52no—
1531C23—52no—
1532C23—52no—
1533C23—52no—
1534C23—516no—
1535C23—52no—
1536C23—108no—
1537C23—101no—
1538C23—101no—
1539C23—101no—
1540C23—101no—
1541C23—101no—
1542C23—101no—
1543C23—101no—
1544C23—101no—
1545C23—101no—
1546C23—101no—
1547C23—101no—
1548C23—101no—
1549C23—101no—
1550C23—101no—
1551C23—101no—
1552C23—101no—
1553C23—101no—
1554C23—101no—
1555C23—101no—
1556C23—101no—
1557C23—101no—
1558C23—101no—
1559C23—101no—
1560C23—101no—
1561C23—101no—
1562C23—101no—
1563C23—101no—
1564C23—101no—
1565C23—204no—
1566C23—204no—
1567C23—204no—
1568C23—204no—
1569C23—204no—
1570C23—204no—
1571C23—204no—
1572C23—204no—
1573C23—204no—
1574C23—204no—
1575C23—204no—
1576C23—204no—
1577C23—204no—
1578C23—204no—
1579C23—204no—
1580C23—402no—
1581C23—402no—
1582C23—402no—
1583C23—402no—
1584C23C2×D4×D512yes—
1585C23C2×D4×D512yes—
1586C23D5×#4112yes—
1587C23D5×#4112yes—
1588C23C24×D511yescharacteristic
1589D4—28no—
1590D4—108no—
1591D4—108no—
1592D4—108no—
1593D4—204no—
1594D4—204no—
1595D4—204no—
1596D4—204no—
1597D4—402no—
1598D4—402no—
1599D4—402no—
1600D4—402no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—44no—
1639C2×C4—44no—
1640C2×C4—44no—
1641C2×C4—52no—
1642C2×C4—52no—
1643C2×C4—82no—
1644C2×C4—108no—
1645C2×C4—108no—
1646C2×C4—101no—
1647C2×C4—101no—
1648C2×C4—101no—
1649C2×C4—101no—
1650C2×C4—101no—
1651C2×C4—101no—
1652C2×C4—101no—
1653C2×C4—101no—
1654C2×C4—101no—
1655C2×C4—101no—
1656C2×C4—101no—
1657C2×C4—101no—
1658C2×C4—101no—
1659C2×C4—101no—
1660C2×C4—101no—
1661C2×C4—101no—
1662C2×C4—101no—
1663C2×C4—101no—
1664C2×C4—101no—
1665C2×C4—101no—
1666C2×C4—101no—
1667C2×C4—101no—
1668C2×C4—101no—
1669C2×C4—101no—
1670C2×C4—101no—
1671C2×C4—101no—
1672C2×C4—101no—
1673C2×C4—101no—
1674C2×C4—101no—
1675C2×C4—101no—
1676C2×C4—101no—
1677C2×C4—204no—
1678C2×C4—204no—
1679C2×C4—204no—
1680C2×C4—204no—
1681C2×C4—204no—
1682C2×C4—204no—
1683C2×C4—204no—
1684C2×C4—204no—
1685C2×C4—204no—
1686C2×C4—204no—
1687C2×C4—204no—
1688C2×C4—402no—
1689C2×C4—402no—
1690C2×C4—402no—
1691C2×C4C2×D4×D512yes—
1692C2×C4#414912yes—
1693C5#3498311yescharacteristic, complemented, Sylow
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—54no—
1708C22—54no—
1709C22—102no—
1710C22—102no—
1711C22—102no—
1712C22—102no—
1713C22—102no—
1714C22—102no—
1715C22—102no—
1716C22—102no—
1717C22—102no—
1718C22—102no—
1719C22—102no—
1720C22—102no—
1721C22—102no—
1722C22—102no—
1723C22—102no—
1724C22—2016no—
1725C22—2016no—
1726C22—201no—
1727C22—201no—
1728C22—201no—
1729C22—201no—
1730C22—201no—
1731C22—201no—
1732C22—201no—
1733C22—201no—
1734C22—201no—
1735C22—201no—
1736C22—201no—
1737C22—201no—
1738C22—201no—
1739C22—201no—
1740C22—201no—
1741C22—201no—
1742C22—201no—
1743C22—201no—
1744C22—408no—
1745C22D5×#12314yes—
1746C22C22×D4×D511yescharacteristic
1747C22C2×D5×#4111yescharacteristic
1748C22C2×D5×#4111yescharacteristic
1749C22C2×#414911yescharacteristic
1750C22#6628311yescharacteristic
1751C22D5×H(5,𝔽2)11yescharacteristic
1752C22#6628711yescharacteristic
1753C4—22no—
1754C4—22no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—41no—
1766C4—102no—
1767C4—102no—
1768C4—201no—
1769C4—201no—
1770C4—201no—
1771C4—201no—
1772C4—201no—
1773C4—201no—
1774C4—201no—
1775C4—201no—
1776C4—201no—
1777C2—24no—
1778C2—42no—
1779C2—104no—
1780C2—104no—
1781C2—202no—
1782C2—401no—
1783C2—401no—
1784C2C2×D5×#12311yescharacteristic
1785C2#1061804811yescharacteristic
1786C2#1061832911yescharacteristic
1787C2#1061856311yescharacteristic
1788C2#1061860111yescharacteristic
1789C2#1061871811yescharacteristic
1790C2#1061876311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2419C2
prime radicalC2×#65987C2
hypercenter#2419D5
hypocenterC5#34983
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2419

Complements

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

NH ≅ G/Ntype
2. C2×C4×D4×D5C2semidirect
3. C5×#2419C2semidirect
4. #10614575C2semidirect
5. #10614135C2semidirect
6. #10610090C2semidirect
7. #10610074C2semidirect
8. #10609694C2semidirect
9. #10609682C2semidirect
10. #10609416C2semidirect
11. #10609416C2semidirect
12. #10609405C2semidirect
13. #10609404C2semidirect
14. #10607178C2semidirect
15. #10607178C2semidirect
16. #10607051C2semidirect
17. #10607050C2semidirect
18. #10606622C2semidirect
19. #10606605C2semidirect
20. #10606387C2semidirect
21. #10606339C2semidirect
22. #10606334C2semidirect
23. D5×#385C2semidirect
24. #10605877C2semidirect
25. #10605859C2semidirect
26. #10605850C2semidirect
27. #10605796C2semidirect
28. #10605752C2semidirect
29. #10605736C2semidirect
30. #10605106C2semidirect
31. C2×#64954C2semidirect
35. C23×C4×D5C22semidirect
41. C2×#4075C22semidirect
43. C2×C4×C22⋊D5C22semidirect
45. C22×#685C22semidirect
46. C22×#685C22semidirect
53. C2×#4040C22semidirect
54. C2×#4040C22semidirect
55. C2×#4039C22semidirect
56. C2×D5×C4⋊C4C22semidirect
57. C2×D5×C4⋊C4C22semidirect
58. C2×D5×C4⋊C4C22semidirect
59. C2×#4032C22semidirect
66. C2×#4027C22semidirect
70. C2×D5×C22⋊C4C22semidirect
71. C2×C4×D20C22semidirect
72. C2×C42×D5C22semidirect
73. C5×#400C22semidirect
74. C5×#398C22semidirect
75. C5×#397C22semidirect
76. C5×#397C22semidirect
77. C5×#387C22semidirect
78. C5×#387C22semidirect
80. C5×#385C22semidirect
81. C5×#385C22semidirect
82. C5×#381C22semidirect
83. C5×#381C22semidirect
84. C5×#380C22semidirect
85. C2×C5×#95C22semidirect
88. #65502C22semidirect
89. #65501C22semidirect
90. #65500C22semidirect
91. #65499C22semidirect
92. C2×#3963C22semidirect
93. #65282C22semidirect
94. #65281C22semidirect
95. #65281C22semidirect
96. #65281C22semidirect
97. #65280C22semidirect
98. #65280C22semidirect
99. #65279C22semidirect
100. #65279C22semidirect
101. #65278C22semidirect
102. #65278C22semidirect
103. #65278C22semidirect
104. #65278C22semidirect
105. #65278C22semidirect
106. #65278C22semidirect
107. #65275C22semidirect
108. #65272C22semidirect
109. #65267C22semidirect
110. #65267C22semidirect
111. #65250C22semidirect
112. #65250C22semidirect
113. #65248C22semidirect
114. #65248C22semidirect
116. #65247C22semidirect
117. #65245C22semidirect
118. #65245C22semidirect
119. #65244C22semidirect
120. #65244C22semidirect
121. #65244C22semidirect
122. #65244C22semidirect
123. #65241C22semidirect
124. #65241C22semidirect
125. #65239C22semidirect
126. #65235C22semidirect
127. #65235C22semidirect
128. #65232C22semidirect
129. #65231C22semidirect
130. #65231C22semidirect
131. #65229C22semidirect
132. #65229C22semidirect
133. #64966C22semidirect
134. #64964C22semidirect
135. #64964C22semidirect
136. #64964C22semidirect
137. #64964C22semidirect
138. #64963C22semidirect
139. #64963C22semidirect
140. #64963C22semidirect
141. #64961C22semidirect
142. #64961C22semidirect
143. #64959C22semidirect
144. #64959C22semidirect
145. #64958C22semidirect
146. #64958C22semidirect
147. #64957C22semidirect
148. #64957C22semidirect
149. #64957C22semidirect
150. #64957C22semidirect
151. #64957C22semidirect
152. #64957C22semidirect
153. #64957C22semidirect
154. #64957C22semidirect
163. #64954C22semidirect
164. #64954C22semidirect
165. #64954C22semidirect
166. #64954C22semidirect
167. #64954C22semidirect
168. #64954C22semidirect
169. #64954C22semidirect
170. #64954C22semidirect
171. #64954C22semidirect
172. #64954C22semidirect
173. #64954C22semidirect
174. #64954C22semidirect
175. #64953C22semidirect
176. #64953C22semidirect
177. #64953C22semidirect
178. #64953C22semidirect
179. D5×#95C22semidirect
180. D5×#95C22semidirect
181. #64947C22semidirect
182. #64947C22semidirect
183. #64946C22semidirect
184. #64946C22semidirect
185. #64943C22semidirect
186. #64943C22semidirect
187. #64941C22semidirect
188. #64941C22semidirect
413. #2419D5semidirect
699. #400C2×D5semidirect
707. #398C2×D5semidirect
718. #397C2×D5semidirect
719. #397C2×D5semidirect
742. #387C2×D5semidirect
743. #387C2×D5semidirect
790. #385C2×D5semidirect
791. #385C2×D5semidirect
798. #381C2×D5semidirect
799. #381C2×D5semidirect
803. #380C2×D5semidirect
811. C2×#95C2×D5semidirect
875. C22×D5#123semidirect
1693. C5#34983semidirect

Maximal subgroups

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

subgroupindex
C2×#659872
C2×C4×D4×D52
C5×#24192
#106145752
#106141352
#106100902
#106100742
#106096942
#106096822
#106094162
#106094052
#106094042
#106071782
#106070512
#106070502
#106066222
#106066052
#106063872
#106063392
#106063342
D5×#3852
#106058772
#106058592
#106058502
#106057962
#106057522
#106057362
#106051062
C2×#649542
#349835