Finite Group Databasebeta

← #12272005

Subgroups — #12272005

Order 1280.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65999C211yesmaximal, characteristic, complemented
2C2×C4×D4×D5C211yesmaximal, characteristic, complemented
3C5×#2419C211yesmaximal, characteristic, complemented
4#10614624C211yesmaximal, characteristic, complemented
5#10614087C211yesmaximal, characteristic, complemented
6#10609944C211yesmaximal, characteristic, complemented
7#10609872C211yesmaximal, characteristic, complemented
8#10609683C211yesmaximal, characteristic, complemented
9#10609553C211yesmaximal, characteristic, complemented
10#10609400C211yesmaximal, characteristic, complemented
11#10609277C211yesmaximal, characteristic, complemented
12#10609272C211yesmaximal, characteristic, complemented
13#10609213C211yesmaximal, characteristic, complemented
14#10607177C211yesmaximal, characteristic, complemented
15#10607176C211yesmaximal, characteristic, complemented
16#10607058C211yesmaximal, characteristic, complemented
17#10606723C211yesmaximal, characteristic, complemented
18#10606619C211yesmaximal, characteristic
19#10606394C211yesmaximal, characteristic, complemented
20#10606386C211yesmaximal, characteristic, complemented
21#10606342C211yesmaximal, characteristic, complemented
22#10606152C211yesmaximal, characteristic, complemented
23#10606110C211yesmaximal, characteristic, complemented
24#10605877C211yesmaximal, characteristic, complemented
25#10605857C211yesmaximal, characteristic, complemented
26#10605802C211yesmaximal, characteristic, complemented
27#10605787C211yesmaximal, characteristic, complemented
28#10605627C211yesmaximal, characteristic, complemented
29#10605604C211yesmaximal, characteristic, complemented
30C2×#64957C211yesmaximal, characteristic, complemented
31#10605080C211yesmaximal, characteristic, complemented
32C22×D4×D5C2211yescharacteristic
33C23×C4×D5C2211yescharacteristic
34C23×C4×D5C2211yescharacteristic
35C2×C5×#123C2211yescharacteristic
36C2×C4×C5×D4C2211yescharacteristic
37C2×#4085C2211yescharacteristic
38C2×D4×Dic5C2211yescharacteristic
39C2×#4076C2211yescharacteristic
40C2×#4075C2211yescharacteristic
41C2×#4075C2211yescharacteristic, complemented
42C2×#4075C2211yescharacteristic, complemented
43C2×C4×C22⋊D5C2211yescharacteristic
44C2×C4×C22⋊D5C2211yescharacteristic
45C22×#685C2211yescharacteristic
46C22×#685C2211yescharacteristic
47C22×C4⋊Dic5C2211yescharacteristic, complemented
48C22×#683C2211yescharacteristic, complemented
49#65999—28no—
50C4×D4×D5—28no—
51C2×#4044C2211yescharacteristic, complemented
52C2×#4043C2211yescharacteristic, complemented
53C2×#4042C2211yescharacteristic
54C2×#4042C2211yescharacteristic, complemented
55C2×#4039C2211yescharacteristic
56C2×#4039C2211yescharacteristic
57C2×#4039C2211yescharacteristic, complemented
58C2×D5×C4⋊C4C2211yescharacteristic
59C2×#4036C2211yescharacteristic, complemented
60C2×#4035C2211yescharacteristic, complemented
61C2×#4032C2211yescharacteristic, complemented
62C2×#4029C2211yescharacteristic, complemented
63C2×#4028C2211yescharacteristic
64C2×#4028C2211yescharacteristic
65C2×#4027C2211yescharacteristic
66C2×#4027C2211yescharacteristic
67C2×#4027C2211yescharacteristic, complemented
68C2×D5×C22⋊C4C2211yescharacteristic
69C2×D5×C22⋊C4C2211yescharacteristic
70C2×#4025C2211yescharacteristic, complemented
71C2×#4024C2211yescharacteristic, complemented
72C2×#4024C2211yescharacteristic, complemented
73C2×C4×D20C2211yescharacteristic
74C2×C42×D5C2211yescharacteristic
75C5×#400C2211yescharacteristic, complemented
76C5×#398C2211yescharacteristic, complemented
77C5×#397C2211yescharacteristic, complemented
78C5×#397C2211yescharacteristic, complemented
79C5×#387C2211yescharacteristic, complemented
80C5×#387C2211yescharacteristic, complemented
81C5×#386C2211yescharacteristic
82C5×#385C2211yescharacteristic, complemented
83C5×#385C2211yescharacteristic, complemented
84C5×#381C2211yescharacteristic, complemented
85C5×#381C2211yescharacteristic, complemented
86C5×#380C2211yescharacteristic, complemented
87C2×C5×#95C2211yescharacteristic, complemented
88#65509C2211yescharacteristic
89#65502C2211yescharacteristic, complemented
90#65499C2211yescharacteristic, complemented
91#65499C2211yescharacteristic, complemented
92C2×#3963C2211yescharacteristic, complemented
93#65283C2211yescharacteristic, complemented
94#65281C2211yescharacteristic, complemented
95#65281C2211yescharacteristic, complemented
96#65281C2211yescharacteristic, complemented
97#65280C2211yescharacteristic
98#65280C2211yescharacteristic
99#65279C2211yescharacteristic, complemented
100#65279C2211yescharacteristic, complemented
101#65278C2211yescharacteristic
102#65278C2211yescharacteristic
103#65278C2211yescharacteristic
104#65278C2211yescharacteristic
105#65278C2211yescharacteristic, complemented
106#65278C2211yescharacteristic, complemented
107#65278C2211yescharacteristic, complemented
108#65269C2211yescharacteristic, complemented
109#65268C2211yescharacteristic, complemented
110#65261C2211yescharacteristic, complemented
111#65250C2211yescharacteristic
112#65249C2211yescharacteristic
113#65248C2211yescharacteristic
114#65248C2211yescharacteristic
115#65248C2211yescharacteristic, complemented
116#65247C2211yescharacteristic
117#65247C2211yescharacteristic
118#65247C2211yescharacteristic, complemented
119#65244C2211yescharacteristic
120#65244C2211yescharacteristic
121#65244C2211yescharacteristic
122#65244C2211yescharacteristic
123#65241C2211yescharacteristic, complemented
124#65235C2211yescharacteristic, complemented
125#65235C2211yescharacteristic, complemented
126#65234C2211yescharacteristic, complemented
127#65233C2211yescharacteristic, complemented
128#65232C2211yescharacteristic, complemented
129#65231C2211yescharacteristic, complemented
130C22⋊C4×Dic5C2211yescharacteristic, complemented
131#65229C2211yescharacteristic, complemented
132#65222C2211yescharacteristic, complemented
133#64965C2211yescharacteristic, complemented
134#64965C2211yescharacteristic, complemented
135#64965C2211yescharacteristic, complemented
136#64964C2211yescharacteristic, complemented
137#64964C2211yescharacteristic, complemented
138#64964C2211yescharacteristic, complemented
139#64962C2211yescharacteristic, complemented
140#64961C2211yescharacteristic
141#64961C2211yescharacteristic, complemented
142#64961C2211yescharacteristic, complemented
143#64961C2211yescharacteristic, complemented
144#64960C2211yescharacteristic
145#64959C2211yescharacteristic, complemented
146#64959C2211yescharacteristic, complemented
147#64958C2211yescharacteristic, complemented
148#64957C2211yescharacteristic
149#64957C2211yescharacteristic
150#64957C2211yescharacteristic
151#64957C2211yescharacteristic
152#64957C2211yescharacteristic
153#64957C2211yescharacteristic
154#64957C2211yescharacteristic, complemented
155#64957C2211yescharacteristic, complemented
156#64957C2211yescharacteristic, complemented
157#64957C2211yescharacteristic, complemented
158#64957C2211yescharacteristic, complemented
159#64957C2211yescharacteristic, complemented
160#64957C2211yescharacteristic, complemented
161#64956C2211yescharacteristic
162#64956C2211yescharacteristic
163#64956C2211yescharacteristic
164#64956C2211yescharacteristic, complemented
165#64955C2211yescharacteristic
166#64955C2211yescharacteristic, complemented
167#64954C2211yescharacteristic
168#64954C2211yescharacteristic
169#64954C2211yescharacteristic
170#64954C2211yescharacteristic
171#64954C2211yescharacteristic, complemented
172#64954C2211yescharacteristic, complemented
173#64954C2211yescharacteristic, complemented
174#64954C2211yescharacteristic, complemented
175#64946C2211yescharacteristic, complemented
176#64946C2211yescharacteristic, complemented
177#64944C2211yescharacteristic, complemented
178#64944C2211yescharacteristic, complemented
179#64943C2211yescharacteristic, complemented
180#64943C2211yescharacteristic, complemented
181#64943C2211yescharacteristic, complemented
182#64942C2211yescharacteristic, complemented
183#64941C2211yescharacteristic, complemented
184#64940C2211yescharacteristic, complemented
185#64939C2211yescharacteristic, complemented
186#64936C2211yescharacteristic, complemented
187#64936C2211yescharacteristic, complemented
188#64936C2211yescharacteristic, complemented
189#34991—51nomaximal, Sylow
190C24×D5C2311yescharacteristic
191C24×D5C2311yescharacteristic
192C22×C5×D4C2311yescharacteristic
193C23×C4×C5C2311yescharacteristic
194C23×C4×C5C2311yescharacteristic
195C23×C4×C5C2311yescharacteristic
196C23×C4×C5C2311yescharacteristic
197C22×C22⋊D5C2311yescharacteristic
198C22×C22⋊D5C2311yescharacteristic
199C22×C22⋊D5C2311yescharacteristic
200C22×C22⋊D5C2311yescharacteristic
201C23×Dic5C2311yescharacteristic
202C23×Dic5C2311yescharacteristic
203C23×Dic5C2311yescharacteristic
204C23×Dic5C2311yescharacteristic
205C2×D4×D5—24no—
206C2×D4×D5—24no—
207C2×D4×D5—24no—
208C22×D20C2311yescharacteristic
209C22×D20C2311yescharacteristic
210C22×D20C2311yescharacteristic
211C22×D20C2311yescharacteristic
212C22×C4×D5—24no—
213C22×C4×D5—24no—
214C22×C4×D5—42no—
215C22×C4×D5—42no—
216C22×C4×D5—42no—
217C22×C4×D5—42no—
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×C4×D5C2311yescharacteristic
228C22×Dic10C2311yescharacteristic
229C5×#123—24no—
230C4×C5×D4—24no—
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×C22⋊C4C2311yescharacteristic
239C2×C5×C22⋊C4C2311yescharacteristic
240C2×C5×C22⋊C4C2311yescharacteristic
241C2×C5×C22⋊C4C2311yescharacteristic
242C2×C5×C22⋊C4C2311yescharacteristic
243C2×C5×C22⋊C4C2311yescharacteristic
244C2×C5×C22⋊C4C2311yescharacteristic
245C2×C5×C22⋊C4C2311yescharacteristic
246C2×C42×C5C2311yescharacteristic
247C2×C22⋊Dic5C2311yescharacteristic
248C2×C22⋊Dic5C2311yescharacteristic
249C2×C22⋊Dic5C2311yescharacteristic
250C2×C22⋊Dic5C2311yescharacteristic
251C2×C22⋊Dic5C2311yescharacteristic
252C2×C22⋊Dic5C2311yescharacteristic
253#4085—24no—
254D4×Dic5D418yescomplemented
255#4076—24no—
256#4075—24no—
257#4075—24no—
258#4075—42no—
259C4×C22⋊D5—24no—
260C4×C22⋊D5—24no—
261C2×#685—24no—
262C2×#685—42no—
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×#685C2311yescharacteristic
287C2×#685C2311yescharacteristic
288C2×#685C2311yescharacteristic
289C2×#685C2311yescharacteristic
290C2×#685C2311yescharacteristic
291C2×#685C2311yescharacteristic
292C2×#685C2311yescharacteristic
293C2×#685C2311yescharacteristic
294C2×#685C2311yescharacteristic
295C2×#685C2311yescharacteristic
296C2×#685C2311yescharacteristic
297C2×C4⋊Dic5—24no—
298C2×C4⋊Dic5C2311yescharacteristic
299C2×C4⋊Dic5C2311yescharacteristic
300C2×C4⋊Dic5C2311yescharacteristic
301C2×C4⋊Dic5C2311yescharacteristic
302C2×C4⋊Dic5C2311yescharacteristic
303C2×C4⋊Dic5C2311yescharacteristic
304C2×C4⋊Dic5C2311yescharacteristic
305C2×#683—42no—
306C2×#683C2311yescharacteristic
307C2×#683C2311yescharacteristic
308C2×#683C2311yescharacteristic
309C2×#683C2311yescharacteristic
310C2×#683C2311yescharacteristic
311C2×#683C2311yescharacteristic
312C2×#683C2311yescharacteristic
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×#683C2311yescharacteristic
326C2×C4×Dic5C2311yescharacteristic
327C2×C4×Dic5C2311yescharacteristic
328C2×C4×Dic5C2311yescharacteristic
329C2×C4×Dic5C2311yescharacteristic
330C2×C4×Dic5C2311yescharacteristic
331C2×C4×Dic5C2311yescharacteristic
332#4044—24no—
333#4043—24no—
334#4042—42no—
335#4042—42no—
336#4039—24no—
337#4039—42no—
338#4039—42no—
339D5×C4⋊C4—24no—
340#4036—24no—
341#4035—24no—
342#4032—24no—
343#4029—24no—
344#4028—24no—
345#4028—42no—
346#4027—24no—
347#4027—24no—
348#4027—24no—
349D5×C22⋊C4—24no—
350D5×C22⋊C4—24no—
351#4025—24no—
352#4024—24no—
353#4024—24no—
354C4×D20—24no—
355C42×D5—24no—
356C5×#95C2311yescharacteristic
357C5×#95C2311yescharacteristic
358C5×#95C2311yescharacteristic
359C5×#95C2311yescharacteristic
360C5×#95C2311yescharacteristic
361C5×#95C2311yescharacteristic
362C5×#95C2311yescharacteristic
363C5×#95C2311yescharacteristic
364C5×#95C2311yescharacteristic
365C5×#95C2311yescharacteristic
366C5×#95C2311yescharacteristic
367C5×#95C2311yescharacteristic
368C5×#95C2311yescharacteristic
369C5×#95C2311yescharacteristic
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—
393C22×C4×D4—51no—
394#2852—51no—
395#2851—51no—
396#2849—51no—
397#2848—51no—
398#2638—51no—
399#2636—51no—
400#2633—51no—
401#2630—51no—
402#2480—51no—
403#2473—51no—
404#2466—51no—
405#2463—51no—
406#2460—51no—
407#2455—51no—
408#2449—51no—
409#2449—51no—
410#2443—51no—
411#2437—51no—
412#2425—51no—
413#2419D511yescharacteristic, complemented
414#2418—51no—
415#2412—51no—
416#2410—51no—
417#2405—51no—
418#2325—51no—
419#2322—51no—
420#2318—51no—
421C4×#120—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—22no—
431C23×D5—22no—
432C23×D5—22no—
433C23×D5—22no—
434C23×D5—41no—
435C23×D5—41no—
436C23×D5—41no—
437C23×D5—41no—
438C23×D5#4114yes—
439C23×D5C2411yescharacteristic
440C23×D5C2411yescharacteristic
441C23×D5C2411yescharacteristic
442C23×D5C2411yescharacteristic
443C2×C5×D4—22no—
444C2×C5×D4—22no—
445C2×C5×D4C2×D414yes—
446C22×C4×C5—22no—
447C22×C4×C5—22no—
448C22×C4×C5—22no—
449C22×C4×C5—22no—
450C22×C4×C5—22no—
451C22×C4×C5—22no—
452C22×C4×C5—22no—
453C22×C4×C5—22no—
454C22×C4×C5—41no—
455C22×C4×C5—41no—
456C22×C4×C5—41no—
457C22×C4×C5—41no—
458C22×C4×C5C2411yescharacteristic
459C22×C4×C5C2411yescharacteristic
460C22×C4×C5C2411yescharacteristic
461C22×C4×C5C2411yescharacteristic
462C22×C4×C5C2411yescharacteristic
463C22×C4×C5C2411yescharacteristic
464C22×C4×C5C2411yescharacteristic
465C22×C4×C5C2411yescharacteristic
466C22×C4×C5C2411yescharacteristic
467C22×C4×C5C2411yescharacteristic
468C22×C4×C5C2411yescharacteristic
469C22×C4×C5C2411yescharacteristic
470C22×C4×C5C2411yescharacteristic
471C2×C22⋊D5—22no—
472C2×C22⋊D5—22no—
473C2×C22⋊D5—22no—
474C2×C22⋊D5—22no—
475C2×C22⋊D5—22no—
476C2×C22⋊D5—22no—
477C2×C22⋊D5—22no—
478C2×C22⋊D5—22no—
479C2×C22⋊D5—22no—
480C2×C22⋊D5—41no—
481C2×C22⋊D5—41no—
482C2×C22⋊D5#4114yes—
483C22×Dic5—22no—
484C22×Dic5—22no—
485C22×Dic5—41no—
486C22×Dic5—41no—
487C22×Dic5—41no—
488C22×Dic5—41no—
489C22×Dic5—41no—
490C22×Dic5—41no—
491C22×Dic5—41no—
492C22×Dic5—41no—
493C22×Dic5C2×D414yes—
494C22×Dic5C2×D414yes—
495C22×Dic5C2411yescharacteristic
496C22×Dic5C2411yescharacteristic
497C22×Dic5C2411yescharacteristic
498C22×Dic5C2411yescharacteristic
499C22×Dic5C2411yescharacteristic
500C22×Dic5C2411yescharacteristic
501C22×Dic5C2411yescharacteristic
502C22×Dic5C2411yescharacteristic
503C22×Dic5C2411yescharacteristic
504C22×Dic5C2411yescharacteristic
505C22×Dic5C2411yescharacteristic
506C22×Dic5C2411yescharacteristic
507D4×D5—232no—
508C2×D20—22no—
509C2×D20—22no—
510C2×D20—22no—
511C2×D20—22no—
512C2×D20—22no—
513C2×D20—22no—
514C2×D20—22no—
515C2×D20—22no—
516C2×D20—41no—
517C2×D20—41no—
518C2×D20—41no—
519C2×D20—41no—
520C2×C4×D5—22no—
521C2×C4×D5—22no—
522C2×C4×D5—22no—
523C2×C4×D5—22no—
524C2×C4×D5—22no—
525C2×C4×D5—22no—
526C2×C4×D5—22no—
527C2×C4×D5—22no—
528C2×C4×D5—22no—
529C2×C4×D5—22no—
530C2×C4×D5—22no—
531C2×C4×D5—22no—
532C2×C4×D5—22no—
533C2×C4×D5—22no—
534C2×C4×D5—22no—
535C2×C4×D5—22no—
536C2×C4×D5—22no—
537C2×C4×D5—22no—
538C2×C4×D5—22no—
539C2×C4×D5—416no—
540C2×C4×D5—416no—
541C2×C4×D5—41no—
542C2×C4×D5—41no—
543C2×C4×D5—41no—
544C2×C4×D5—41no—
545C2×C4×D5—41no—
546C2×C4×D5—41no—
547C2×C4×D5—41no—
548C2×C4×D5—41no—
549C2×C4×D5—41no—
550C2×C4×D5—41no—
551C2×C4×D5—41no—
552C2×Dic10—22no—
553C2×Dic10—41no—
554C2×Dic10—41no—
555C5×C4⋊C4—22no—
556C5×C4⋊C4—22no—
557C5×C4⋊C4—22no—
558C5×C4⋊C4—22no—
559C5×C4⋊C4—41no—
560C5×C4⋊C4—41no—
561C5×C4⋊C4—41no—
562C5×C22⋊C4—22no—
563C5×C22⋊C4—22no—
564C5×C22⋊C4—22no—
565C5×C22⋊C4—22no—
566C5×C22⋊C4—22no—
567C5×C22⋊C4—22no—
568C5×C22⋊C4—41no—
569C5×C22⋊C4—41no—
570C42×C5—22no—
571C22⋊Dic5—22no—
572C22⋊Dic5—22no—
573C22⋊Dic5—41no—
574C22⋊Dic5—41no—
575C22⋊Dic5C2×D414yes—
576C22⋊Dic5C2×D414yes—
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—22no—
595#685—22no—
596#685—22no—
597#685—22no—
598#685—22no—
599#685—22no—
600#685—41no—
601#685—41no—
602#685—41no—
603#685—41no—
604#685—41no—
605#685—41no—
606#685—41no—
607#685—41no—
608#685—41no—
609#685—41no—
610#685—41no—
611C4⋊Dic5—22no—
612C4⋊Dic5—22no—
613C4⋊Dic5—22no—
614C4⋊Dic5—22no—
615C4⋊Dic5—22no—
616C4⋊Dic5—22no—
617C4⋊Dic5C2×D414yes—
618#683—22no—
619#683—22no—
620#683—22no—
621#683—22no—
622#683—22no—
623#683—22no—
624#683—22no—
625#683—22no—
626#683—22no—
627#683—22no—
628#683—22no—
629#683—22no—
630#683—41no—
631#683—41no—
632#683—41no—
633#683—41no—
634#683—41no—
635#683—41no—
636#683—41no—
637#683—41no—
638C4×Dic5—22no—
639C4×Dic5—22no—
640C4×Dic5—22no—
641C4×Dic5—41no—
642C4×Dic5—41no—
643C4×Dic5C2×D414yes—
644C23×D4—51no—
645C24×C4—51no—
646C24×C4—51no—
647#539—108no—
648C2×#126—51no—
649C2×#126—51no—
650C2×#125—51no—
651C2×#125—51no—
652C2×#123—51no—
653C2×#123—51no—
654C2×#123—51no—
655C2×#123—51no—
656C2×#123—51no—
657C2×#123C2×D511yescharacteristic
658C2×C22⋊Q8—51no—
659C2×C22⋊Q8—51no—
660C2×C22⋊Q8—51no—
661C2×C22⋊Q8—51no—
662C2×C22⋊Q8—51no—
663C2×#121—51no—
664C2×#121—51no—
665C2×#120—51no—
666C2×#120—51no—
667C2×C4×D4—51no—
668C2×C4×D4—51no—
669C2×C4×D4—51no—
670C2×C4×D4—51no—
671C2×C4×D4—51no—
672C2×C4×D4—51no—
673C2×C4×D4—51no—
674C2×C4×D4—51no—
675C2×C4×D4—51no—
676C2×C4×D4—51no—
677C2×C4×D4—108no—
678C2×C4×D4C2×D511yescharacteristic
679C22×C4⋊C4—51no—
680C22×C4⋊C4—51no—
681C22×C4⋊C4—51no—
682C22×C22⋊C4—51no—
683C22×C22⋊C4—51no—
684C22×C22⋊C4—51no—
685C22×C22⋊C4—51no—
686C22×C42—51no—
687#400C2×D511yescharacteristic, complemented
688#399—51no—
689#399—51no—
690#399—51no—
691#398—51no—
692#398—51no—
693#398—51no—
694#398C2×D511yescharacteristic, complemented
695#397—51no—
696#397—51no—
697#397—51no—
698#397—51no—
699#397C2×D511yescharacteristic, complemented
700#397C2×D511yescharacteristic, complemented
701#396—51no—
702#396—51no—
703#396—51no—
704#396—51no—
705#395—51no—
706#394—51no—
707#394—51no—
708#394—51no—
709#394—51no—
710#394—51no—
711#394—51no—
712#394—51no—
713#394—51no—
714#394—51no—
715#394—51no—
716#393—51no—
717#392—51no—
718#392—51no—
719#389—51no—
720#389—51no—
721#389—51no—
722#389—51no—
723#388—51no—
724#388—51no—
725#388—51no—
726#388—51no—
727#388—51no—
728#388—51no—
729#388—51no—
730#388—51no—
731#387—51no—
732#387—51no—
733#387—51no—
734#387—51no—
735#387—51no—
736#387—51no—
737#387—51no—
738#387—51no—
739#387C2×D511yescharacteristic, complemented
740#387C2×D511yescharacteristic, complemented
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#386—51no—
750#386—51no—
751#386—51no—
752#386—51no—
753#386—51no—
754#386C2×D511yescharacteristic
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#385—51no—
770#385—51no—
771#385—51no—
772#385—51no—
773#385—51no—
774#385—51no—
775#385—51no—
776#385—51no—
777#385—51no—
778#385—51no—
779#385C2×D511yescharacteristic, complemented
780#385C2×D511yescharacteristic, complemented
781#383—51no—
782#382—51no—
783#381—51no—
784#381C2×D511yescharacteristic, complemented
785#381C2×D511yescharacteristic, complemented
786#380—51no—
787#380—51no—
788#380—51no—
789#380—51no—
790#380—51no—
791#380C2×D511yescharacteristic, complemented
792#379—51no—
793#379—51no—
794#379—51no—
795#379—51no—
796C4×C22⋊C4—51no—
797C4×C22⋊C4—51no—
798C4×C22⋊C4—51no—
799C2×#95—51no—
800C2×#95C2×D511yescharacteristic, complemented
801C23×C5—21no—
802C23×C5—21no—
803C23×C5—21no—
804C23×C5—21no—
805C23×C5—21no—
806C23×C5—21no—
807C23×C5—21no—
808C23×C5—21no—
809C23×C5—21no—
810C23×C5—21no—
811C23×C5C22×D412yes—
812C23×C5C22×D412yes—
813C23×C5C2×#4112yes—
814C23×C5C2×#4112yes—
815C23×C5C2511yescharacteristic
816C22×D5—21no—
817C22×D5—21no—
818C22×D5—21no—
819C22×D5—21no—
820C22×D5—28no—
821C22×D5—28no—
822C22×D5—21no—
823C22×D5—21no—
824C22×D5—21no—
825C22×D5—21no—
826C22×D5—21no—
827C22×D5—21no—
828C22×D5—21no—
829C22×D5—21no—
830C22×D5—21no—
831C22×D5—21no—
832C22×D5—21no—
833C22×D5—21no—
834C22×D5—28no—
835C22×D5—21no—
836C22×D5—21no—
837C22×D5—21no—
838C22×D5—21no—
839C22×D5—21no—
840C22×D5—21no—
841C22×D5—21no—
842C22×D5—44no—
843C22×D5—44no—
844C22×D5—44no—
845C22×D5—44no—
846C22×D5—44no—
847C22×D5—44no—
848C22×D5—44no—
849C22×D5—44no—
850C22×D5—44no—
851C22×D5—44no—
852C22×D5—44no—
853C22×D5C2×#4112yes—
854C22×D5C2×#4112yes—
855C22×D5C2×#4112yes—
856C22×D5H(5,𝔽2)12yes—
857C22×D52−1+412yes—
858C5×D4—28no—
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—21no—
874C2×C4×C5—21no—
875C2×C4×C5—21no—
876C2×C4×C5—21no—
877C2×C4×C5—21no—
878C2×C4×C5—21no—
879C2×C4×C5—21no—
880C2×C4×C5—21no—
881C2×C4×C5—21no—
882C2×C4×C5—21no—
883C2×C4×C5—21no—
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—44no—
897C2×C4×C5—44no—
898C2×C4×C5—44no—
899C2×C4×C5—82no—
900C2×C4×C5C22×D412yes—
901C2×C4×C5H(5,𝔽2)12yes—
902C22⋊D5—28no—
903C22⋊D5—28no—
904C22⋊D5—44no—
905C22⋊D5—82no—
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—21no—
915C2×Dic5—21no—
916C2×Dic5—21no—
917C2×Dic5—21no—
918C2×Dic5—21no—
919C2×Dic5—21no—
920C2×Dic5—21no—
921C2×Dic5—21no—
922C2×Dic5—21no—
923C2×Dic5—21no—
924C2×Dic5—21no—
925C2×Dic5—21no—
926C2×Dic5—21no—
927C2×Dic5—21no—
928C2×Dic5—21no—
929C2×Dic5—21no—
930C2×Dic5—21no—
931C2×Dic5—21no—
932C2×Dic5—21no—
933C2×Dic5—21no—
934C2×Dic5—21no—
935C2×Dic5—21no—
936C2×Dic5—21no—
937C2×Dic5—44no—
938C2×Dic5—44no—
939C2×Dic5—44no—
940C2×Dic5—82no—
941C2×Dic5C22×D412yes—
942C2×Dic5C22×D412yes—
943C2×Dic5C22×D412yes—
944C2×Dic5C22×D412yes—
945C2×Dic5C2×#4112yes—
946D20—28no—
947D20—44no—
948D20—44no—
949D20—82no—
950C4×D5—28no—
951C4×D5—28no—
952C4×D5—44no—
953C4×D5—44no—
954C4×D5—44no—
955C4×D5—44no—
956C4×D5—44no—
957C4×D5—44no—
958C4×D5—44no—
959C4×D5—82no—
960Dic10—82no—
961C25—51no—
962C25—51no—
963C22×Q8—51no—
964C22×D4—51no—
965C22×D4—51no—
966C22×D4—51no—
967C22×D4—51no—
968C22×D4—51no—
969C22×D4—51no—
970C22×D4—51no—
971C22×D4—51no—
972C22×D4—104no—
973C22×D4—104no—
974C22×D4—104no—
975C22×D4C22×D511yescharacteristic
976C23×C4—51no—
977C23×C4—51no—
978C23×C4—51no—
979C23×C4—51no—
980C23×C4—51no—
981C23×C4—51no—
982C23×C4—51no—
983C23×C4—51no—
984C23×C4—51no—
985C23×C4—51no—
986C23×C4—51no—
987C23×C4—51no—
988C23×C4—51no—
989C23×C4—51no—
990C23×C4—104no—
991C23×C4—104no—
992C23×C4—202no—
993C23×C4—202no—
994C23×C4—202no—
995C23×C4—202no—
996C23×C4C22×D511yescharacteristic
997C23×C4C22×D511yescharacteristic
998C23×C4C22×D511yescharacteristic
999C23×C4C22×D511yescharacteristic
1000#126—104no—
1001#126—104no—
1002#125—104no—
1003#125—104no—
1004#123—24no—
1005#123—104no—
1006#123—104no—
1007#123—104no—
1008#123—104no—
1009#123—202no—
1010C22⋊Q8—104no—
1011C22⋊Q8—104no—
1012C22⋊Q8—104no—
1013C22⋊Q8—202no—
1014C22⋊Q8—202no—
1015#121—104no—
1016#121—104no—
1017#120—104no—
1018#120—202no—
1019C4×D4—24no—
1020C4×D4—58no—
1021C4×D4—104no—
1022C4×D4—104no—
1023C4×D4—104no—
1024C4×D4—104no—
1025C4×D4—104no—
1026C4×D4—104no—
1027C4×D4—104no—
1028C4×D4—202no—
1029C4×D4—202no—
1030C2×C4⋊C4—51no—
1031C2×C4⋊C4—51no—
1032C2×C4⋊C4—51no—
1033C2×C4⋊C4—51no—
1034C2×C4⋊C4—51no—
1035C2×C4⋊C4—51no—
1036C2×C4⋊C4—51no—
1037C2×C4⋊C4—51no—
1038C2×C4⋊C4—51no—
1039C2×C4⋊C4—51no—
1040C2×C4⋊C4—51no—
1041C2×C4⋊C4—51no—
1042C2×C4⋊C4—51no—
1043C2×C4⋊C4—51no—
1044C2×C4⋊C4—51no—
1045C2×C4⋊C4—51no—
1046C2×C4⋊C4—51no—
1047C2×C4⋊C4—51no—
1048C2×C4⋊C4—51no—
1049C2×C4⋊C4—51no—
1050C2×C4⋊C4—51no—
1051C2×C4⋊C4—51no—
1052C2×C4⋊C4—51no—
1053C2×C4⋊C4—51no—
1054C2×C4⋊C4—51no—
1055C2×C4⋊C4—51no—
1056C2×C4⋊C4—51no—
1057C2×C4⋊C4—104no—
1058C2×C4⋊C4—104no—
1059C2×C4⋊C4—202no—
1060C2×C4⋊C4C22×D511yescharacteristic
1061C2×C4⋊C4C22×D511yescharacteristic
1062C2×C4⋊C4C22×D511yescharacteristic
1063C2×C4⋊C4C22×D511yescharacteristic
1064C2×C4⋊C4C22×D511yescharacteristic
1065C2×C4⋊C4C22×D511yescharacteristic
1066C2×C4⋊C4C22×D511yescharacteristic
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⋊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—104no—
1108C2×C22⋊C4—104no—
1109C2×C22⋊C4—104no—
1110C2×C22⋊C4—202no—
1111C2×C22⋊C4C22×D511yescharacteristic
1112C2×C22⋊C4C22×D511yescharacteristic
1113C2×C22⋊C4C22×D511yescharacteristic
1114C2×C22⋊C4C22×D511yescharacteristic
1115C2×C22⋊C4C22×D511yescharacteristic
1116C2×C22⋊C4C22×D511yescharacteristic
1117C2×C22⋊C4C22×D511yescharacteristic
1118C2×C22⋊C4C22×D511yescharacteristic
1119C2×C42—51no—
1120C2×C42—51no—
1121C2×C42—51no—
1122C2×C42—51no—
1123C2×C42—51no—
1124C2×C42—51no—
1125C2×C42—104no—
1126C2×C42C22×D511yescharacteristic
1127#95—51no—
1128#95—51no—
1129#95—51no—
1130#95—51no—
1131#95—51no—
1132#95—51no—
1133#95—51no—
1134#95—51no—
1135#95—51no—
1136#95—51no—
1137#95—51no—
1138#95—51no—
1139#95—51no—
1140#95—51no—
1141#95—51no—
1142#95—51no—
1143#95—51no—
1144#95—51no—
1145#95—51no—
1146#95—51no—
1147#95—51no—
1148#95—51no—
1149#95C22×D511yescharacteristic
1150#95C22×D511yescharacteristic
1151#95C22×D511yescharacteristic
1152#95C22×D511yescharacteristic
1153#95C22×D511yescharacteristic
1154#95C22×D511yescharacteristic
1155#95C22×D511yescharacteristic
1156#95C22×D511yescharacteristic
1157#95C22×D511yescharacteristic
1158#95C22×D511yescharacteristic
1159#95C22×D511yescharacteristic
1160#95C22×D511yescharacteristic
1161#95C22×D511yescharacteristic
1162#95C22×D511yescharacteristic
1163C22×C5—22no—
1164C22×C5—22no—
1165C22×C5—22no—
1166C22×C5—22no—
1167C22×C5—22no—
1168C22×C5—22no—
1169C22×C5—22no—
1170C22×C5—22no—
1171C22×C5—22no—
1172C22×C5—41no—
1173C22×C5—41no—
1174C22×C5—41no—
1175C22×C5—41no—
1176C22×C5#52514yes—
1177C22×C5C23×D411yescharacteristic
1178C22×C5C22×#4111yescharacteristic
1179C22×C5C22×#4111yescharacteristic
1180C22×C5C2×H(5,𝔽2)11yescharacteristic
1181C22×C5C2×H(5,𝔽2)11yescharacteristic
1182C22×C5C2×2−1+411yescharacteristic
1183C22×C5#58511yescharacteristic
1184C2×D5—22no—
1185C2×D5—22no—
1186C2×D5—22no—
1187C2×D5—22no—
1188C2×D5—22no—
1189C2×D5—22no—
1190C2×D5—22no—
1191C2×D5—22no—
1192C2×D5—22no—
1193C2×D5—22no—
1194C2×D5—22no—
1195C2×D5—22no—
1196C2×D5—416no—
1197C2×D5—416no—
1198C2×D5—41no—
1199C2×D5—41no—
1200C2×D5—41no—
1201C2×D5—41no—
1202C2×D5—41no—
1203C2×D5—41no—
1204C2×D5—41no—
1205C2×D5—41no—
1206C2×D5—41no—
1207C2×D5—41no—
1208C2×D5—41no—
1209C2×D5—41no—
1210C2×D5—41no—
1211C2×D5—41no—
1212C2×D5—41no—
1213C2×D5#53914yescomplemented
1214C4×C5—22no—
1215C4×C5—22no—
1216C4×C5—41no—
1217C4×C5—41no—
1218C4×C5—41no—
1219C4×C5—41no—
1220C4×C5—41no—
1221C4×C5—41no—
1222C4×C5—41no—
1223C4×C5—41no—
1224C4×C5—41no—
1225C4×C5—41no—
1226C4×C5—41no—
1227Dic5—22no—
1228Dic5—22no—
1229Dic5—22no—
1230Dic5—22no—
1231Dic5—22no—
1232Dic5—41no—
1233Dic5—41no—
1234Dic5—41no—
1235Dic5—41no—
1236Dic5—41no—
1237Dic5—41no—
1238Dic5—41no—
1239C24—51no—
1240C24—51no—
1241C24—51no—
1242C24—54no—
1243C24—51no—
1244C24—102no—
1245C24—102no—
1246C24—102no—
1247C24—102no—
1248C24—102no—
1249C24—102no—
1250C24—102no—
1251C24—102no—
1252C24—102no—
1253C24—201no—
1254C24—201no—
1255C24—201no—
1256C24—201no—
1257C24C23×D511yescharacteristic
1258C24C23×D511yescharacteristic
1259C2×Q8—102no—
1260C2×Q8—201no—
1261C2×Q8—201no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—54no—
1265C2×D4—102no—
1266C2×D4—102no—
1267C2×D4—102no—
1268C2×D4—102no—
1269C2×D4—102no—
1270C2×D4—102no—
1271C2×D4—102no—
1272C2×D4—102no—
1273C2×D4—1032no—
1274C2×D4—102no—
1275C2×D4—102no—
1276C2×D4—102no—
1277C2×D4—102no—
1278C2×D4—102no—
1279C2×D4—102no—
1280C2×D4—102no—
1281C2×D4—102no—
1282C2×D4—102no—
1283C2×D4—201no—
1284C2×D4—201no—
1285C2×D4—201no—
1286C2×D4—201no—
1287C2×D4—201no—
1288C2×D4—201no—
1289C2×D4D4×D514yes—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—51no—
1303C22×C4—51no—
1304C22×C4—51no—
1305C22×C4—51no—
1306C22×C4—51no—
1307C22×C4—54no—
1308C22×C4—54no—
1309C22×C4—51no—
1310C22×C4—51no—
1311C22×C4—51no—
1312C22×C4—51no—
1313C22×C4—51no—
1314C22×C4—51no—
1315C22×C4—51no—
1316C22×C4—102no—
1317C22×C4—102no—
1318C22×C4—102no—
1319C22×C4—102no—
1320C22×C4—102no—
1321C22×C4—102no—
1322C22×C4—102no—
1323C22×C4—102no—
1324C22×C4—102no—
1325C22×C4—102no—
1326C22×C4—102no—
1327C22×C4—102no—
1328C22×C4—102no—
1329C22×C4—102no—
1330C22×C4—102no—
1331C22×C4—102no—
1332C22×C4—102no—
1333C22×C4—102no—
1334C22×C4—102no—
1335C22×C4—102no—
1336C22×C4—102no—
1337C22×C4—201no—
1338C22×C4—201no—
1339C22×C4—201no—
1340C22×C4—201no—
1341C22×C4—201no—
1342C22×C4—201no—
1343C22×C4—201no—
1344C22×C4—201no—
1345C22×C4—201no—
1346C22×C4—201no—
1347C22×C4—201no—
1348C22×C4—2016no—
1349C22×C4—2016no—
1350C22×C4—201no—
1351C22×C4—201no—
1352C22×C4—201no—
1353C22×C4—201no—
1354C22×C4—201no—
1355C22×C4—201no—
1356C22×C4—201no—
1357C22×C4—201no—
1358C22×C4C23×D511yescharacteristic
1359C22×C4C23×D511yescharacteristic
1360C22×C4C23×D511yescharacteristic
1361C22×C4C23×D511yescharacteristic
1362C22×C4C23×D511yescharacteristic
1363C22×C4C23×D511yescharacteristic
1364C22×C4C23×D511yescharacteristic
1365C22×C4C23×D511yescharacteristic
1366C22×C4C23×D511yescharacteristic
1367C22×C4C23×D511yescharacteristic
1368C22×C4C23×D511yescharacteristic
1369C22×C4C23×D511yescharacteristic
1370C22×C4C23×D511yescharacteristic
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—41no—
1376C4⋊C4—41no—
1377C4⋊C4—41no—
1378C4⋊C4—54no—
1379C4⋊C4—102no—
1380C4⋊C4—102no—
1381C4⋊C4—102no—
1382C4⋊C4—102no—
1383C4⋊C4—102no—
1384C4⋊C4—102no—
1385C4⋊C4—102no—
1386C4⋊C4—102no—
1387C4⋊C4—102no—
1388C4⋊C4—102no—
1389C4⋊C4—102no—
1390C4⋊C4—102no—
1391C4⋊C4—102no—
1392C4⋊C4—102no—
1393C4⋊C4—102no—
1394C4⋊C4—102no—
1395C4⋊C4—102no—
1396C4⋊C4—102no—
1397C4⋊C4—201no—
1398C4⋊C4—201no—
1399C4⋊C4—201no—
1400C4⋊C4—201no—
1401C4⋊C4—201no—
1402C4⋊C4—201no—
1403C4⋊C4—201no—
1404C4⋊C4—201no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—54no—
1414C22⋊C4—54no—
1415C22⋊C4—102no—
1416C22⋊C4—102no—
1417C22⋊C4—102no—
1418C22⋊C4—102no—
1419C22⋊C4—102no—
1420C22⋊C4—102no—
1421C22⋊C4—102no—
1422C22⋊C4—102no—
1423C22⋊C4—102no—
1424C22⋊C4—102no—
1425C22⋊C4—102no—
1426C22⋊C4—102no—
1427C22⋊C4—102no—
1428C22⋊C4—102no—
1429C22⋊C4—102no—
1430C22⋊C4—102no—
1431C22⋊C4—102no—
1432C22⋊C4—102no—
1433C22⋊C4—102no—
1434C22⋊C4—102no—
1435C22⋊C4—102no—
1436C22⋊C4—102no—
1437C22⋊C4—102no—
1438C22⋊C4—102no—
1439C22⋊C4—102no—
1440C22⋊C4—201no—
1441C22⋊C4—201no—
1442C22⋊C4—201no—
1443C22⋊C4—201no—
1444C22⋊C4—201no—
1445C22⋊C4—201no—
1446C22⋊C4—201no—
1447C22⋊C4—201no—
1448C22⋊C4—201no—
1449C22⋊C4—201no—
1450C22⋊C4—201no—
1451C22⋊C4—201no—
1452C22⋊C4—201no—
1453C42—22no—
1454C42—54no—
1455C42—102no—
1456C42—102no—
1457C42—102no—
1458C42—201no—
1459C42—201no—
1460C2×C5—24no—
1461C2×C5—42no—
1462C2×C5C2×#52511yescharacteristic
1463C2×C5C2×#53911yescharacteristic
1464C2×C5#345911yescharacteristic
1465C2×C5#348411yescharacteristic
1466C2×C5#348911yescharacteristic
1467C2×C5#351311yescharacteristic
1468C2×C5#352011yescharacteristic
1469D5—24no—
1470D5—42no—
1471D5—42no—
1472D5—81no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—52no—
1484C23—52no—
1485C23—52no—
1486C23—52no—
1487C23—52no—
1488C23—108no—
1489C23—108no—
1490C23—101no—
1491C23—101no—
1492C23—101no—
1493C23—101no—
1494C23—108no—
1495C23—101no—
1496C23—101no—
1497C23—101no—
1498C23—101no—
1499C23—101no—
1500C23—101no—
1501C23—101no—
1502C23—101no—
1503C23—101no—
1504C23—101no—
1505C23—101no—
1506C23—101no—
1507C23—101no—
1508C23—101no—
1509C23—101no—
1510C23—101no—
1511C23—101no—
1512C23—101no—
1513C23—101no—
1514C23—204no—
1515C23—204no—
1516C23—204no—
1517C23—204no—
1518C23—204no—
1519C23—204no—
1520C23—204no—
1521C23—204no—
1522C23—204no—
1523C23—204no—
1524C23—204no—
1525C23C2×D4×D512yes—
1526C23C2×D4×D512yes—
1527C23D5×#4112yes—
1528C23D5×#4112yes—
1529C23C24×D511yescharacteristic
1530Q8—402no—
1531D4—28no—
1532D4—108no—
1533D4—108no—
1534D4—108no—
1535D4—204no—
1536D4—204no—
1537D4—204no—
1538D4—402no—
1539D4—402no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—44no—
1580C2×C4—52no—
1581C2×C4—52no—
1582C2×C4—52no—
1583C2×C4—52no—
1584C2×C4—52no—
1585C2×C4—82no—
1586C2×C4—108no—
1587C2×C4—108no—
1588C2×C4—101no—
1589C2×C4—101no—
1590C2×C4—101no—
1591C2×C4—101no—
1592C2×C4—101no—
1593C2×C4—101no—
1594C2×C4—101no—
1595C2×C4—101no—
1596C2×C4—101no—
1597C2×C4—101no—
1598C2×C4—101no—
1599C2×C4—101no—
1600C2×C4—101no—
1601C2×C4—101no—
1602C2×C4—101no—
1603C2×C4—101no—
1604C2×C4—101no—
1605C2×C4—101no—
1606C2×C4—101no—
1607C2×C4—101no—
1608C2×C4—101no—
1609C2×C4—101no—
1610C2×C4—101no—
1611C2×C4—101no—
1612C2×C4—101no—
1613C2×C4—101no—
1614C2×C4—101no—
1615C2×C4—101no—
1616C2×C4—101no—
1617C2×C4—101no—
1618C2×C4—101no—
1619C2×C4—204no—
1620C2×C4—204no—
1621C2×C4—204no—
1622C2×C4—204no—
1623C2×C4—204no—
1624C2×C4—204no—
1625C2×C4—204no—
1626C2×C4—204no—
1627C2×C4—204no—
1628C2×C4—204no—
1629C2×C4—402no—
1630C2×C4—402no—
1631C2×C4C2×D4×D512yes—
1632C2×C4#414912yes—
1633C5#3499111yescharacteristic, complemented, Sylow
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—54no—
1648C22—102no—
1649C22—102no—
1650C22—102no—
1651C22—102no—
1652C22—102no—
1653C22—102no—
1654C22—102no—
1655C22—102no—
1656C22—102no—
1657C22—102no—
1658C22—102no—
1659C22—102no—
1660C22—2016no—
1661C22—2016no—
1662C22—201no—
1663C22—201no—
1664C22—201no—
1665C22—201no—
1666C22—201no—
1667C22—201no—
1668C22—201no—
1669C22—201no—
1670C22—201no—
1671C22—201no—
1672C22—201no—
1673C22—201no—
1674C22—201no—
1675C22—201no—
1676C22—201no—
1677C22#6599014yes—
1678C22C22×D4×D511yescharacteristic
1679C22C2×D5×#4111yescharacteristic
1680C22C2×D5×#4111yescharacteristic
1681C22C2×#414911yescharacteristic
1682C22#6628311yescharacteristic
1683C22D5×H(5,𝔽2)11yescharacteristic
1684C22D5×2−1+411yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—102no—
1699C4—102no—
1700C4—102no—
1701C4—102no—
1702C4—102no—
1703C4—201no—
1704C4—201no—
1705C4—201no—
1706C4—201no—
1707C4—201no—
1708C4—201no—
1709C4—201no—
1710C2—24no—
1711C2—42no—
1712C2—104no—
1713C2—202no—
1714C2—202no—
1715C2—401no—
1716C2C2×#6599011yescharacteristic
1717C2#1061804811yescharacteristic
1718C2D5×#53911yescharacteristic
1719C2#1061856311yescharacteristic
1720C2#1061857811yescharacteristic
1721C2#1061869711yescharacteristic
1722C2#1061874011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2419C2
prime radical#10606619C2
hypercenter#2419D5
hypocenterC5#34991
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2419

Complements

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

NH ≅ G/Ntype
1. C2×#65999C2semidirect
2. C2×C4×D4×D5C2semidirect
3. C5×#2419C2semidirect
4. #10614624C2semidirect
5. #10614087C2semidirect
6. #10609944C2semidirect
7. #10609872C2semidirect
8. #10609683C2semidirect
9. #10609553C2semidirect
10. #10609400C2semidirect
11. #10609277C2semidirect
12. #10609272C2semidirect
13. #10609213C2semidirect
14. #10607177C2semidirect
15. #10607176C2semidirect
16. #10607058C2semidirect
17. #10606723C2semidirect
19. #10606394C2semidirect
20. #10606386C2semidirect
21. #10606342C2semidirect
22. #10606152C2semidirect
23. #10606110C2semidirect
24. #10605877C2semidirect
25. #10605857C2semidirect
26. #10605802C2semidirect
27. #10605787C2semidirect
28. #10605627C2semidirect
29. #10605604C2semidirect
30. C2×#64957C2semidirect
31. #10605080C2semidirect
41. C2×#4075C22semidirect
42. C2×#4075C22semidirect
47. C22×C4⋊Dic5C22semidirect
48. C22×#683C22semidirect
51. C2×#4044C22semidirect
52. C2×#4043C22semidirect
54. C2×#4042C22semidirect
57. C2×#4039C22semidirect
59. C2×#4036C22semidirect
60. C2×#4035C22semidirect
61. C2×#4032C22semidirect
62. C2×#4029C22semidirect
67. C2×#4027C22semidirect
70. C2×#4025C22semidirect
71. C2×#4024C22semidirect
72. C2×#4024C22semidirect
75. C5×#400C22semidirect
76. C5×#398C22semidirect
77. C5×#397C22semidirect
78. C5×#397C22semidirect
79. C5×#387C22semidirect
80. C5×#387C22semidirect
82. C5×#385C22semidirect
83. C5×#385C22semidirect
84. C5×#381C22semidirect
85. C5×#381C22semidirect
86. C5×#380C22semidirect
87. C2×C5×#95C22semidirect
89. #65502C22semidirect
90. #65499C22semidirect
91. #65499C22semidirect
92. C2×#3963C22semidirect
93. #65283C22semidirect
94. #65281C22semidirect
95. #65281C22semidirect
96. #65281C22semidirect
99. #65279C22semidirect
100. #65279C22semidirect
105. #65278C22semidirect
106. #65278C22semidirect
107. #65278C22semidirect
108. #65269C22semidirect
109. #65268C22semidirect
110. #65261C22semidirect
115. #65248C22semidirect
118. #65247C22semidirect
123. #65241C22semidirect
124. #65235C22semidirect
125. #65235C22semidirect
126. #65234C22semidirect
127. #65233C22semidirect
128. #65232C22semidirect
129. #65231C22semidirect
130. C22⋊C4×Dic5C22semidirect
131. #65229C22semidirect
132. #65222C22semidirect
133. #64965C22semidirect
134. #64965C22semidirect
135. #64965C22semidirect
136. #64964C22semidirect
137. #64964C22semidirect
138. #64964C22semidirect
139. #64962C22semidirect
141. #64961C22semidirect
142. #64961C22semidirect
143. #64961C22semidirect
145. #64959C22semidirect
146. #64959C22semidirect
147. #64958C22semidirect
154. #64957C22semidirect
155. #64957C22semidirect
156. #64957C22semidirect
157. #64957C22semidirect
158. #64957C22semidirect
159. #64957C22semidirect
160. #64957C22semidirect
164. #64956C22semidirect
166. #64955C22semidirect
171. #64954C22semidirect
172. #64954C22semidirect
173. #64954C22semidirect
174. #64954C22semidirect
175. #64946C22semidirect
176. #64946C22semidirect
177. #64944C22semidirect
178. #64944C22semidirect
179. #64943C22semidirect
180. #64943C22semidirect
181. #64943C22semidirect
182. #64942C22semidirect
183. #64941C22semidirect
184. #64940C22semidirect
185. #64939C22semidirect
186. #64936C22semidirect
187. #64936C22semidirect
188. #64936C22semidirect
254. D4×Dic5D4semidirect
413. #2419D5semidirect
687. #400C2×D5semidirect
694. #398C2×D5semidirect
699. #397C2×D5semidirect
700. #397C2×D5semidirect
739. #387C2×D5semidirect
740. #387C2×D5semidirect
779. #385C2×D5semidirect
780. #385C2×D5semidirect
784. #381C2×D5semidirect
785. #381C2×D5semidirect
791. #380C2×D5semidirect
800. C2×#95C2×D5semidirect
1213. C2×D5#539semidirect
1633. C5#34991semidirect

Maximal subgroups

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

subgroupindex
C2×#659992
C2×C4×D4×D52
C5×#24192
#106146242
#106140872
#106099442
#106098722
#106096832
#106095532
#106094002
#106092772
#106092722
#106092132
#106071772
#106071762
#106070582
#106067232
#106066192
#106063942
#106063862
#106063422
#106061522
#106061102
#106058772
#106058572
#106058022
#106057872
#106056272
#106056042
C2×#649572
#106050802
#349915