Finite Group Databasebeta

← #12269978

Subgroups — #12269978

Order 1280.

2062 conjugacy classes of subgroups.

The subgroup lattice has 1480 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2477C211yesmaximal, characteristic, complemented
2#10614498C211yesmaximal, characteristic, complemented
3Dic5×C22⋊Q8C211yesmaximal, characteristic, complemented
4#10614010C211yesmaximal, characteristic, complemented
5Dic5×#117C211yesmaximal, characteristic, complemented
6#10609927C211yesmaximal, characteristic, complemented
7#10609863C211yesmaximal, characteristic, complemented
8#10609263C211yesmaximal, characteristic, complemented
9#10609190C211yesmaximal, characteristic, complemented
10#10608688C211yesmaximal, characteristic, complemented
11#10608620C211yesmaximal, characteristic
12#10608528C211yesmaximal, characteristic, complemented
13#10608509C211yesmaximal, characteristic, complemented
14#10608287C211yesmaximal, characteristic, complemented
15#10608211C211yesmaximal, characteristic, complemented
16#10607378C211yesmaximal, characteristic, complemented
17#10607288C211yesmaximal, characteristic, complemented
18#10607182C211yesmaximal, characteristic, complemented
19#10607180C211yesmaximal, characteristic, complemented
20#10607082C211yesmaximal, characteristic, complemented
21#10606774C211yesmaximal, characteristic, complemented
22#10606673C211yesmaximal, characteristic, complemented
23#10606671C211yesmaximal, characteristic, complemented
24#10606506C211yesmaximal, characteristic, complemented
25#10606446C211yesmaximal, characteristic, complemented
26#10606389C211yesmaximal, characteristic, complemented
27#10606389C211yesmaximal, characteristic, complemented
28#10606229C211yesmaximal, characteristic, complemented
29#10606111C211yesmaximal, characteristic, complemented
30#10605264C211yesmaximal, characteristic, complemented
31C4×#4027C211yesmaximal, characteristic, complemented
32C22×#711C2211yescharacteristic
33C2×C5×C22⋊Q8C2211yescharacteristic
34C2×C5×#117C2211yescharacteristic
35C2×#4093C2211yescharacteristic
36C2×Q8×Dic5C2211yescharacteristic
37C2×C4×C22⋊D5C2211yescharacteristic
38C2×#4072C2211yescharacteristic
39C22×C4×Dic5C2211yescharacteristic
40C22×C4×Dic5C2211yescharacteristic
41C2×#4044C2211yescharacteristic
42C2×#4040C2211yescharacteristic
43C2×#4039C2211yescharacteristic
44C2×#4032C2211yescharacteristic
45C2×#4027C2211yescharacteristic
46C2×#4027C2211yescharacteristic
47C2×#4027C2211yescharacteristic
48C2×#4023C2211yescharacteristic
49C2×#4023C2211yescharacteristic
50C2×C42×D5C2211yescharacteristic
51C5×#400C2211yescharacteristic
52C5×#397C2211yescharacteristic
53C5×#394C2211yescharacteristic
54C5×#393C2211yescharacteristic
55C5×#391C2211yescharacteristic
56C5×#388C2211yescharacteristic
57C5×#388C2211yescharacteristic
58C5×#387C2211yescharacteristic
59C5×#387C2211yescharacteristic
60C5×#386C2211yescharacteristic
61C5×#386C2211yescharacteristic
62C5×#385C2211yescharacteristic
63C4×C5×C22⋊C4C2211yescharacteristic
64#65519C2211yescharacteristic
65#65518C2211yescharacteristic
66#65512C2211yescharacteristic
67#65509C2211yescharacteristic
68#65509C2211yescharacteristic
69#65502C2211yescharacteristic
70#65502C2211yescharacteristic
71#65502C2211yescharacteristic
72#65501C2211yescharacteristic
73#65283C2211yescharacteristic
74#65282C2211yescharacteristic
75#65281C2211yescharacteristic
76#65279C2211yescharacteristic
77#65279C2211yescharacteristic
78#65279C2211yescharacteristic
79#65278C2211yescharacteristic
80#65274C2211yescharacteristic
81#65270C2211yescharacteristic
82#65270C2211yescharacteristic
83#65268C2211yescharacteristic
84#65267C2211yescharacteristic
85#65267C2211yescharacteristic
86#65266C2211yescharacteristic
87C4⋊C4×Dic5C2211yescharacteristic
88C4⋊C4×Dic5C2211yescharacteristic
89C4⋊C4×Dic5C2211yescharacteristic
90C4⋊C4×Dic5C2211yescharacteristic
91C4⋊C4×Dic5C2211yescharacteristic
92C4⋊C4×Dic5C2211yescharacteristic
93C4⋊C4×Dic5C2211yescharacteristic
94#65250C2211yescharacteristic
95#65249C2211yescharacteristic
96#65249C2211yescharacteristic
97#65248C2211yescharacteristic
98#65248C2211yescharacteristic
99#65248C2211yescharacteristic
100#65247C2211yescharacteristic
101#65247C2211yescharacteristic
102#65246C2211yescharacteristic
103#65246C2211yescharacteristic
104#65246C2211yescharacteristic
105#65246C2211yescharacteristic
106#65245C2211yescharacteristic
107#65245C2211yescharacteristic
108#65241C2211yescharacteristic
109#65240C2211yescharacteristic
110#65240C2211yescharacteristic
111#65239C2211yescharacteristic
112#65239C2211yescharacteristic
113#65238C2211yescharacteristic
114#65237C2211yescharacteristic
115#65237C2211yescharacteristic
116#65234C2211yescharacteristic
117#65233C2211yescharacteristic
118#65232C2211yescharacteristic
119C22⋊C4×Dic5C2211yescharacteristic
120C22⋊C4×Dic5C2211yescharacteristic
121C22⋊C4×Dic5C2211yescharacteristic
122C22⋊C4×Dic5C2211yescharacteristic
123C22⋊C4×Dic5C2211yescharacteristic
124C22⋊C4×Dic5C2211yescharacteristic
125C22⋊C4×Dic5C2211yescharacteristic
126C22⋊C4×Dic5C2211yescharacteristic
127C22⋊C4×Dic5C2211yescharacteristic
128#65229C2211yescharacteristic
129#65229C2211yescharacteristic
130#65228C2211yescharacteristic
131C4×#685C2211yescharacteristic
132#65222C2211yescharacteristic
133#65222C2211yescharacteristic
134#65221C2211yescharacteristic
135#65221C2211yescharacteristic
136C4×#683C2211yescharacteristic
137C42×Dic5C2211yescharacteristic
138C42×Dic5C2211yescharacteristic
139#64964C2211yescharacteristic
140#64964C2211yescharacteristic
141#64963C2211yescharacteristic
142#64962C2211yescharacteristic
143#64959C2211yescharacteristic
144#64959C2211yescharacteristic
145#64959C2211yescharacteristic
146#64959C2211yescharacteristic
147#64959C2211yescharacteristic
148#64959C2211yescharacteristic
149#64957C2211yescharacteristic
150#64957C2211yescharacteristic
151#64955C2211yescharacteristic
152#64955C2211yescharacteristic
153#64955C2211yescharacteristic
154#64955C2211yescharacteristic
155#64955C2211yescharacteristic
156#64955C2211yescharacteristic
157#64955C2211yescharacteristic
158#64955C2211yescharacteristic
159#64955C2211yescharacteristic
160#64954C2211yescharacteristic
161#64953C2211yescharacteristic
162C5⋊#401C2211yescharacteristic
163#64949C2211yescharacteristic
164#64948C2211yescharacteristic
165#64948C2211yescharacteristic
166#64947C2211yescharacteristic
167#64946C2211yescharacteristic
168#64946C2211yescharacteristic
169#64946C2211yescharacteristic
170#64944C2211yescharacteristic
171#64944C2211yescharacteristic
172#64943C2211yescharacteristic
173#64943C2211yescharacteristic
174#64942C2211yescharacteristic
175#64941C2211yescharacteristic
176#64941C2211yescharacteristic
177#64940C2211yescharacteristic
178#64938C2211yescharacteristic
179#64938C2211yescharacteristic
180#64938C2211yescharacteristic
181#64938C2211yescharacteristic
182#64937C2211yescharacteristic
183#64935C2211yescharacteristic
184#64935C2211yescharacteristic
185#64935C2211yescharacteristic
186#64935C2211yescharacteristic
187#34861—51nomaximal, Sylow
188C22×C5×Q8C2311yescharacteristic
189C22×C5×D4C2311yescharacteristic
190C23×C4×C5C2311yescharacteristic
191C23×C4×C5C2311yescharacteristic
192C22×C22⋊D5C2311yescharacteristic
193C22×C22⋊D5C2311yescharacteristic
194C22×C22⋊D5C2311yescharacteristic
195C22×C22⋊D5C2311yescharacteristic
196C23×Dic5C2311yescharacteristic
197C23×Dic5C2311yescharacteristic
198C23×Dic5C2311yescharacteristic
199C23×Dic5C2311yescharacteristic
200C2×#711—24no—
201C2×#711—24no—
202C2×#711—42no—
203C22×D20C2311yescharacteristic
204C22×C4×D5C2311yescharacteristic
205C22×C4×D5C2311yescharacteristic
206C22×C4×D5C2311yescharacteristic
207C22×C4×D5C2311yescharacteristic
208C22×Dic10C2311yescharacteristic
209C5×C22⋊Q8—24no—
210C5×#117—24no—
211C2×C5×C4⋊C4C2311yescharacteristic
212C2×C5×C4⋊C4C2311yescharacteristic
213C2×C5×C4⋊C4C2311yescharacteristic
214C2×C5×C4⋊C4C2311yescharacteristic
215C2×C5×C4⋊C4C2311yescharacteristic
216C2×C5×C4⋊C4C2311yescharacteristic
217C2×C5×C22⋊C4C2311yescharacteristic
218C2×C5×C22⋊C4C2311yescharacteristic
219C2×C5×C22⋊C4C2311yescharacteristic
220C2×C5×C22⋊C4C2311yescharacteristic
221C2×C5×C22⋊C4C2311yescharacteristic
222C2×C5×C22⋊C4C2311yescharacteristic
223C2×C5×C22⋊C4C2311yescharacteristic
224C2×C5×C22⋊C4C2311yescharacteristic
225C2×C5×C22⋊C4C2311yescharacteristic
226C2×C5×C22⋊C4C2311yescharacteristic
227C2×C42×C5C2311yescharacteristic
228C2×C42×C5C2311yescharacteristic
229C2×C42×C5C2311yescharacteristic
230C2×C22⋊Dic5C2311yescharacteristic
231C2×C22⋊Dic5C2311yescharacteristic
232C2×C22⋊Dic5C2311yescharacteristic
233C2×C22⋊Dic5C2311yescharacteristic
234C2×C22⋊Dic5C2311yescharacteristic
235C2×C22⋊Dic5C2311yescharacteristic
236C2×C22⋊Dic5C2311yescharacteristic
237C2×C22⋊Dic5C2311yescharacteristic
238#4093—24no—
239Q8×Dic5—42no—
240C4×C22⋊D5—24no—
241C2×#685C2311yescharacteristic
242C2×#685C2311yescharacteristic
243C2×#685C2311yescharacteristic
244C2×#685C2311yescharacteristic
245C2×#685C2311yescharacteristic
246C2×#685C2311yescharacteristic
247C2×#685C2311yescharacteristic
248C2×#685C2311yescharacteristic
249C2×#685C2311yescharacteristic
250C2×#685C2311yescharacteristic
251C2×#685C2311yescharacteristic
252C2×#685C2311yescharacteristic
253C2×#685C2311yescharacteristic
254C2×#685C2311yescharacteristic
255C2×#685C2311yescharacteristic
256C2×#685C2311yescharacteristic
257C2×#685C2311yescharacteristic
258C2×#685C2311yescharacteristic
259C2×#685C2311yescharacteristic
260C2×#685C2311yescharacteristic
261#4072—24no—
262C2×C4⋊Dic5C2311yescharacteristic
263C2×C4⋊Dic5C2311yescharacteristic
264C2×C4⋊Dic5C2311yescharacteristic
265C2×C4⋊Dic5C2311yescharacteristic
266C2×C4⋊Dic5C2311yescharacteristic
267C2×C4⋊Dic5C2311yescharacteristic
268C2×C4⋊Dic5C2311yescharacteristic
269C2×C4⋊Dic5C2311yescharacteristic
270C2×#683C2311yescharacteristic
271C2×#683C2311yescharacteristic
272C2×#683C2311yescharacteristic
273C2×#683C2311yescharacteristic
274C2×#683C2311yescharacteristic
275C2×#683C2311yescharacteristic
276C2×#683C2311yescharacteristic
277C2×#683C2311yescharacteristic
278C2×#683C2311yescharacteristic
279C2×#683C2311yescharacteristic
280C2×#683C2311yescharacteristic
281C2×#683C2311yescharacteristic
282C2×C4×Dic5—24no—
283C2×C4×Dic5—42no—
284C2×C4×Dic5C2311yescharacteristic
285C2×C4×Dic5C2311yescharacteristic
286C2×C4×Dic5C2311yescharacteristic
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×C4×Dic5C2311yescharacteristic
296C2×C4×Dic5C2311yescharacteristic
297C2×C4×Dic5C2311yescharacteristic
298C2×C4×Dic5C2311yescharacteristic
299C2×C4×Dic5C2311yescharacteristic
300C2×C4×Dic5C2311yescharacteristic
301C2×C4×Dic5C2311yescharacteristic
302C2×C4×Dic5C2311yescharacteristic
303C2×C4×Dic5C2311yescharacteristic
304C2×C4×Dic5C2311yescharacteristic
305C2×C4×Dic5C2311yescharacteristic
306#4044—24no—
307#4040—24no—
308#4039—42no—
309#4032—24no—
310#4027—24no—
311#4027—24no—
312#4027—24no—
313#4023—24no—
314#4023—42no—
315C42×D5—42no—
316C5×#95C2311yescharacteristic
317C5×#95C2311yescharacteristic
318C5×#95C2311yescharacteristic
319C5×#95C2311yescharacteristic
320C5×#95C2311yescharacteristic
321C5×#95C2311yescharacteristic
322C5×#95C2311yescharacteristic
323C5×#95C2311yescharacteristic
324C5×#95C2311yescharacteristic
325C5×#95C2311yescharacteristic
326C5×#95C2311yescharacteristic
327C5×#95C2311yescharacteristic
328#3963C2311yescharacteristic
329#3963C2311yescharacteristic
330#3963C2311yescharacteristic
331#3963C2311yescharacteristic
332#3963C2311yescharacteristic
333#3963C2311yescharacteristic
334#3963C2311yescharacteristic
335#3963C2311yescharacteristic
336#3963C2311yescharacteristic
337#3963C2311yescharacteristic
338#3963C2311yescharacteristic
339#3963C2311yescharacteristic
340#3963C2311yescharacteristic
341#3963C2311yescharacteristic
342#3963C2311yescharacteristic
343#3963C2311yescharacteristic
344#3963C2311yescharacteristic
345#3963C2311yescharacteristic
346#3963C2311yescharacteristic
347#3963C2311yescharacteristic
348#3963C2311yescharacteristic
349#3963C2311yescharacteristic
350#3963C2311yescharacteristic
351#3963C2311yescharacteristic
352#3963C2311yescharacteristic
353#3963C2311yescharacteristic
354#3963C2311yescharacteristic
355#3963C2311yescharacteristic
356#3963C2311yescharacteristic
357#3963C2311yescharacteristic
358#3963C2311yescharacteristic
359#3963C2311yescharacteristic
360#3963C2311yescharacteristic
361#3963C2311yescharacteristic
362#3963C2311yescharacteristic
363#3963C2311yescharacteristic
364#2605—51no—
365#2603—51no—
366#2601—51no—
367#2598—51no—
368#2597—51no—
369#2589—51no—
370#2576—51no—
371#2557—51no—
372#2531—51no—
373#2527—51no—
374#2520—51no—
375#2516—51no—
376#2477D511yescharacteristic, complemented
377#2471—51no—
378#2461—51no—
379#2457—51no—
380#2401—51no—
381#2396—51no—
382#2395—51no—
383#2388—51no—
384C4×#126—51no—
385C4×#124—51no—
386C4×C22⋊Q8—51no—
387C4×#123—51no—
388C4×#123—51no—
389#2298—51no—
390#2297—51no—
391#2297—51no—
392#2290—51no—
393C42×D4—51no—
394C4×#117—51no—
395C24×C5C2411yescharacteristic
396C24×C5C2411yescharacteristic
397C23×D5C2411yescharacteristic
398C23×D5C2411yescharacteristic
399C2×C5×Q8—22no—
400C2×C5×Q8—22no—
401C2×C5×Q8—41no—
402C2×C5×D4—22no—
403C2×C5×D4—22no—
404C2×C5×D4—41no—
405C22×C4×C5—22no—
406C22×C4×C5—22no—
407C22×C4×C5—22no—
408C22×C4×C5—22no—
409C22×C4×C5—22no—
410C22×C4×C5—41no—
411C22×C4×C5C2411yescharacteristic
412C22×C4×C5C2411yescharacteristic
413C22×C4×C5C2411yescharacteristic
414C22×C4×C5C2411yescharacteristic
415C22×C4×C5C2411yescharacteristic
416C22×C4×C5C2411yescharacteristic
417C22×C4×C5C2411yescharacteristic
418C22×C4×C5C2411yescharacteristic
419C22×C4×C5C2411yescharacteristic
420C22×C4×C5C2411yescharacteristic
421C22×C4×C5C2411yescharacteristic
422C22×C4×C5C2411yescharacteristic
423C22×C4×C5C2411yescharacteristic
424C2×C22⋊D5—22no—
425C2×C22⋊D5—22no—
426C2×C22⋊D5—22no—
427C2×C22⋊D5—22no—
428C2×C22⋊D5—22no—
429C2×C22⋊D5—22no—
430C2×C22⋊D5—22no—
431C2×C22⋊D5—22no—
432C2×C22⋊D5—22no—
433C2×C22⋊D5—41no—
434C2×C22⋊D5—41no—
435C2×C22⋊D5—41no—
436C22×Dic5—22no—
437C22×Dic5—22no—
438C22×Dic5—22no—
439C22×Dic5—22no—
440C22×Dic5—22no—
441C22×Dic5—22no—
442C22×Dic5—22no—
443C22×Dic5—41no—
444C22×Dic5—41no—
445C22×Dic5—41no—
446C22×Dic5#4114yes—
447C22×Dic5#4114yes—
448C22×Dic5C2411yescharacteristic
449C22×Dic5C2411yescharacteristic
450C22×Dic5C2411yescharacteristic
451C22×Dic5C2411yescharacteristic
452C22×Dic5C2411yescharacteristic
453C22×Dic5C2411yescharacteristic
454C22×Dic5C2411yescharacteristic
455C22×Dic5C2411yescharacteristic
456C22×Dic5C2411yescharacteristic
457C22×Dic5C2411yescharacteristic
458C22×Dic5C2411yescharacteristic
459C22×Dic5C2411yescharacteristic
460C22×Dic5C2411yescharacteristic
461C22×Dic5C2411yescharacteristic
462#711—416no—
463C2×D20—22no—
464C2×D20—22no—
465C2×D20—41no—
466C2×C4×D5—22no—
467C2×C4×D5—22no—
468C2×C4×D5—22no—
469C2×C4×D5—22no—
470C2×C4×D5—22no—
471C2×C4×D5—22no—
472C2×C4×D5—22no—
473C2×C4×D5—22no—
474C2×C4×D5—22no—
475C2×C4×D5—41no—
476C2×C4×D5—41no—
477C2×C4×D5—41no—
478C2×Dic10—22no—
479C2×Dic10—22no—
480C2×Dic10—41no—
481C5×C4⋊C4—22no—
482C5×C4⋊C4—22no—
483C5×C4⋊C4—22no—
484C5×C4⋊C4—22no—
485C5×C4⋊C4—41no—
486C5×C4⋊C4#4114yescomplemented
487C5×C22⋊C4—22no—
488C5×C22⋊C4—22no—
489C5×C22⋊C4—22no—
490C5×C22⋊C4—22no—
491C5×C22⋊C4—22no—
492C5×C22⋊C4—22no—
493C5×C22⋊C4—22no—
494C5×C22⋊C4—22no—
495C5×C22⋊C4—22no—
496C5×C22⋊C4—41no—
497C42×C5—22no—
498C42×C5—22no—
499C42×C5—41no—
500C22⋊Dic5—22no—
501C22⋊Dic5—22no—
502C22⋊Dic5—22no—
503C22⋊Dic5—22no—
504C22⋊Dic5—41no—
505C22⋊Dic5—41no—
506C22⋊Dic5—41no—
507C22⋊Dic5—41no—
508#685—22no—
509#685—22no—
510#685—22no—
511#685—22no—
512#685—22no—
513#685—22no—
514#685—22no—
515#685—22no—
516#685—22no—
517#685—22no—
518#685—22no—
519#685—22no—
520#685—22no—
521#685—41no—
522#685—41no—
523#685—41no—
524#685—41no—
525#685—41no—
526#685—41no—
527#685#4114yescomplemented
528C4⋊Dic5—22no—
529C4⋊Dic5—22no—
530C4⋊Dic5—22no—
531C4⋊Dic5—22no—
532C4⋊Dic5—22no—
533C4⋊Dic5—41no—
534C4⋊Dic5—41no—
535C4⋊Dic5—41no—
536#683—22no—
537#683—22no—
538#683—22no—
539#683—22no—
540#683—22no—
541#683—22no—
542#683—22no—
543#683—22no—
544#683—41no—
545#683—41no—
546#683—41no—
547#683—41no—
548C4×Dic5—22no—
549C4×Dic5—22no—
550C4×Dic5—22no—
551C4×Dic5—22no—
552C4×Dic5—22no—
553C4×Dic5—22no—
554C4×Dic5—22no—
555C4×Dic5—22no—
556C4×Dic5—22no—
557C4×Dic5—22no—
558C4×Dic5—22no—
559C4×Dic5—22no—
560C4×Dic5—22no—
561C4×Dic5—22no—
562C4×Dic5—22no—
563C4×Dic5—22no—
564C4×Dic5—41no—
565C4×Dic5—41no—
566C4×Dic5—41no—
567C4×Dic5—41no—
568C4×Dic5—41no—
569C4×Dic5#4114yescomplemented
570C22×#41—51no—
571C2×#126—51no—
572C2×#124—51no—
573C2×#123—51no—
574C2×#123—51no—
575C2×C22⋊Q8C2×D511yescharacteristic
576C2×C4×Q8—51no—
577C2×C4×D4—51no—
578C2×C4×D4—51no—
579C2×C4×D4—51no—
580C2×C4×D4—51no—
581C2×C4×D4—51no—
582C2×#117—51no—
583C2×#117—51no—
584C2×#117—51no—
585C2×#117C2×D511yescharacteristic
586C22×C42—51no—
587C22×C42—51no—
588C22×C42—51no—
589#401—51no—
590#400—51no—
591#400—51no—
592#400—51no—
593#400—51no—
594#400C2×D511yescharacteristic
595#399—51no—
596#399—51no—
597#398—51no—
598#398—51no—
599#398—51no—
600#397—51no—
601#397—51no—
602#397—51no—
603#397—51no—
604#397—51no—
605#397C2×D511yescharacteristic
606#396—51no—
607#396—51no—
608#396—51no—
609#395—51no—
610#395—51no—
611#394—51no—
612#394—51no—
613#394—51no—
614#394—51no—
615#394C2×D511yescharacteristic
616#393—51no—
617#393C2×D511yescharacteristic
618#392—51no—
619#392—51no—
620#392—51no—
621#391—51no—
622#391—51no—
623#391—51no—
624#391—51no—
625#391—51no—
626#391C2×D511yescharacteristic
627#390—51no—
628#390—51no—
629#390—51no—
630#390—51no—
631#390—51no—
632#389—51no—
633#388—51no—
634#388—51no—
635#388—51no—
636#388—51no—
637#388—51no—
638#388—51no—
639#388—51no—
640#388—51no—
641#388—51no—
642#388—51no—
643#388—51no—
644#388—51no—
645#388—51no—
646#388—51no—
647#388—51no—
648#388C2×D511yescharacteristic
649#388C2×D511yescharacteristic
650#387—51no—
651#387—51no—
652#387—51no—
653#387—51no—
654#387—51no—
655#387—51no—
656#387—51no—
657#387—51no—
658#387—51no—
659#387—51no—
660#387—51no—
661#387—51no—
662#387—51no—
663#387C2×D511yescharacteristic
664#387C2×D511yescharacteristic
665#386—51no—
666#386—51no—
667#386—51no—
668#386—51no—
669#386—51no—
670#386—51no—
671#386—51no—
672#386—51no—
673#386—51no—
674#386—51no—
675#386C2×D511yescharacteristic
676#386C2×D511yescharacteristic
677#385—51no—
678#385—51no—
679#385—51no—
680#385—51no—
681#385—51no—
682#385C2×D511yescharacteristic
683#383—51no—
684#382—51no—
685#381—51no—
686#381—51no—
687#380—51no—
688C4×C4⋊C4—51no—
689C4×C4⋊C4—51no—
690C4×C4⋊C4—51no—
691C4×C4⋊C4—51no—
692C4×C4⋊C4—51no—
693C4×C4⋊C4—51no—
694C4×C4⋊C4—51no—
695C4×C4⋊C4—51no—
696C4×C4⋊C4—51no—
697C4×C4⋊C4—51no—
698C4×C4⋊C4—51no—
699C4×C4⋊C4—51no—
700C4×C22⋊C4—51no—
701C4×C22⋊C4—51no—
702C4×C22⋊C4—51no—
703C4×C22⋊C4—51no—
704C4×C22⋊C4—51no—
705C4×C22⋊C4—51no—
706C4×C22⋊C4—51no—
707C4×C22⋊C4—51no—
708C4×C22⋊C4—51no—
709C4×C22⋊C4—51no—
710C4×C22⋊C4—51no—
711C4×C22⋊C4—51no—
712C4×C22⋊C4—51no—
713C4×C22⋊C4—51no—
714C4×C22⋊C4—51no—
715C4×C22⋊C4—51no—
716C4×C22⋊C4—51no—
717C4×C22⋊C4—51no—
718C4×C22⋊C4—51no—
719C4×C22⋊C4C2×D511yescharacteristic
720#376—51no—
721#376—51no—
722#376—51no—
723C43—51no—
724C43—51no—
725C23×C5—21no—
726C23×C5—21no—
727C23×C5—21no—
728C23×C5—21no—
729C23×C5—21no—
730C23×C5—21no—
731C23×C5—21no—
732C23×C5—21no—
733C23×C5—21no—
734C23×C5—21no—
735C23×C5—21no—
736C23×C5—21no—
737C23×C5C2×#4112yes—
738C23×C5C2×#4112yes—
739C23×C5C2511yescharacteristic
740C22×D5—21no—
741C22×D5—21no—
742C22×D5—21no—
743C22×D5—21no—
744C22×D5—21no—
745C22×D5—21no—
746C22×D5—21no—
747C22×D5—21no—
748C22×D5—21no—
749C22×D5—21no—
750C22×D5—21no—
751C22×D5—21no—
752C22×D5—21no—
753C22×D5C2×#4112yes—
754C5×Q8—44no—
755C5×D4—44no—
756C2×C4×C5—28no—
757C2×C4×C5—21no—
758C2×C4×C5—21no—
759C2×C4×C5—21no—
760C2×C4×C5—21no—
761C2×C4×C5—21no—
762C2×C4×C5—21no—
763C2×C4×C5—21no—
764C2×C4×C5—21no—
765C2×C4×C5—21no—
766C2×C4×C5—21no—
767C2×C4×C5—21no—
768C2×C4×C5—21no—
769C2×C4×C5—21no—
770C2×C4×C5—21no—
771C2×C4×C5—21no—
772C2×C4×C5—21no—
773C2×C4×C5—21no—
774C2×C4×C5—21no—
775C2×C4×C5—21no—
776C2×C4×C5—21no—
777C2×C4×C5—21no—
778C2×C4×C5—21no—
779C2×C4×C5—21no—
780C2×C4×C5—21no—
781C2×C4×C5—21no—
782C2×C4×C5—21no—
783C2×C4×C5—21no—
784C2×C4×C5—21no—
785C2×C4×C5—21no—
786C2×C4×C5—21no—
787C2×C4×C5—21no—
788C2×C4×C5—21no—
789C2×C4×C5—21no—
790C2×C4×C5—21no—
791C2×C4×C5—44no—
792C2×C4×C5C2×#4112yes—
793C2×C4×C5C2×#4112yes—
794C2×C4×C5C2×#4112yes—
795C2×C4×C5C2×#4112yes—
796C2×C4×C5C2×#4112yes—
797C22⋊D5—28no—
798C22⋊D5—44no—
799C22⋊D5—44no—
800C22⋊D5—44no—
801C2×Dic5—21no—
802C2×Dic5—21no—
803C2×Dic5—21no—
804C2×Dic5—21no—
805C2×Dic5—21no—
806C2×Dic5—21no—
807C2×Dic5—21no—
808C2×Dic5—21no—
809C2×Dic5—21no—
810C2×Dic5—21no—
811C2×Dic5—28no—
812C2×Dic5—28no—
813C2×Dic5—21no—
814C2×Dic5—21no—
815C2×Dic5—21no—
816C2×Dic5—21no—
817C2×Dic5—21no—
818C2×Dic5—21no—
819C2×Dic5—21no—
820C2×Dic5—21no—
821C2×Dic5—21no—
822C2×Dic5—21no—
823C2×Dic5—21no—
824C2×Dic5—21no—
825C2×Dic5—21no—
826C2×Dic5—21no—
827C2×Dic5—21no—
828C2×Dic5—21no—
829C2×Dic5—21no—
830C2×Dic5—21no—
831C2×Dic5—21no—
832C2×Dic5—21no—
833C2×Dic5—21no—
834C2×Dic5—21no—
835C2×Dic5—21no—
836C2×Dic5—21no—
837C2×Dic5—44no—
838C2×Dic5—44no—
839C2×Dic5C2×#4112yes—
840C2×Dic5C2×#4112yes—
841C2×Dic5C2×#4112yes—
842C2×Dic5C2×#4112yes—
843C2×Dic5C2×#4112yes—
844C2×Dic5C2×#4112yes—
845C2×Dic5C2×#4112yes—
846C2×Dic5H(5,𝔽2)12yes—
847D20—44no—
848C4×D5—44no—
849C4×D5—44no—
850C4×D5—44no—
851C4×D5—44no—
852Dic10—44no—
853C2×#41—104no—
854C2×#41—104no—
855C2×#41—202no—
856C22×Q8—51no—
857C22×Q8C22×D511yescharacteristic
858C22×D4—51no—
859C22×D4—51no—
860C22×D4—51no—
861C22×D4—51no—
862C22×D4—51no—
863C22×D4C22×D511yescharacteristic
864C23×C4—51no—
865C23×C4—51no—
866C23×C4—51no—
867C23×C4—51no—
868C23×C4—51no—
869C23×C4—51no—
870C23×C4—51no—
871C23×C4—51no—
872C23×C4C22×D511yescharacteristic
873C23×C4C22×D511yescharacteristic
874#126—104no—
875#124—104no—
876#123—104no—
877#123—104no—
878C22⋊Q8—24no—
879C4×Q8—202no—
880C4×D4—104no—
881C4×D4—104no—
882C4×D4—104no—
883C4×D4—104no—
884C4×D4—202no—
885#117—24no—
886#117—104no—
887#117—104no—
888#117—202no—
889C2×C4⋊C4—51no—
890C2×C4⋊C4—51no—
891C2×C4⋊C4—51no—
892C2×C4⋊C4—51no—
893C2×C4⋊C4—51no—
894C2×C4⋊C4—51no—
895C2×C4⋊C4—51no—
896C2×C4⋊C4—51no—
897C2×C4⋊C4—51no—
898C2×C4⋊C4—51no—
899C2×C4⋊C4—51no—
900C2×C4⋊C4—51no—
901C2×C4⋊C4—51no—
902C2×C4⋊C4—51no—
903C2×C4⋊C4—51no—
904C2×C4⋊C4—51no—
905C2×C4⋊C4—51no—
906C2×C4⋊C4—51no—
907C2×C4⋊C4—51no—
908C2×C4⋊C4—51no—
909C2×C4⋊C4C22×D511yescharacteristic
910C2×C4⋊C4C22×D511yescharacteristic
911C2×C4⋊C4C22×D511yescharacteristic
912C2×C4⋊C4C22×D511yescharacteristic
913C2×C4⋊C4C22×D511yescharacteristic
914C2×C4⋊C4C22×D511yescharacteristic
915C2×C22⋊C4—51no—
916C2×C22⋊C4—51no—
917C2×C22⋊C4—51no—
918C2×C22⋊C4—51no—
919C2×C22⋊C4—51no—
920C2×C22⋊C4—51no—
921C2×C22⋊C4—51no—
922C2×C22⋊C4—51no—
923C2×C22⋊C4—51no—
924C2×C22⋊C4—51no—
925C2×C22⋊C4—51no—
926C2×C22⋊C4—51no—
927C2×C22⋊C4—51no—
928C2×C22⋊C4—51no—
929C2×C22⋊C4—51no—
930C2×C22⋊C4—51no—
931C2×C22⋊C4—51no—
932C2×C22⋊C4—51no—
933C2×C22⋊C4—51no—
934C2×C22⋊C4—51no—
935C2×C22⋊C4—51no—
936C2×C22⋊C4—51no—
937C2×C22⋊C4—51no—
938C2×C22⋊C4—51no—
939C2×C22⋊C4—51no—
940C2×C22⋊C4—51no—
941C2×C22⋊C4—51no—
942C2×C22⋊C4—51no—
943C2×C22⋊C4C22×D511yescharacteristic
944C2×C22⋊C4C22×D511yescharacteristic
945C2×C22⋊C4C22×D511yescharacteristic
946C2×C22⋊C4C22×D511yescharacteristic
947C2×C22⋊C4C22×D511yescharacteristic
948C2×C22⋊C4C22×D511yescharacteristic
949C2×C22⋊C4C22×D511yescharacteristic
950C2×C22⋊C4C22×D511yescharacteristic
951C2×C22⋊C4C22×D511yescharacteristic
952C2×C22⋊C4C22×D511yescharacteristic
953C2×C42—51no—
954C2×C42—51no—
955C2×C42—51no—
956C2×C42—51no—
957C2×C42—51no—
958C2×C42—51no—
959C2×C42—51no—
960C2×C42—51no—
961C2×C42—51no—
962C2×C42—51no—
963C2×C42—51no—
964C2×C42—51no—
965C2×C42—51no—
966C2×C42—51no—
967C2×C42—51no—
968C2×C42—51no—
969C2×C42—51no—
970C2×C42—51no—
971C2×C42—51no—
972C2×C42—51no—
973C2×C42—51no—
974C2×C42—51no—
975C2×C42—104no—
976C2×C42—202no—
977C2×C42—202no—
978C2×C42C22×D511yescharacteristic
979C2×C42C22×D511yescharacteristic
980C2×C42C22×D511yescharacteristic
981#95—51no—
982#95—51no—
983#95—51no—
984#95—51no—
985#95—51no—
986#95—51no—
987#95—51no—
988#95—51no—
989#95—51no—
990#95—51no—
991#95—51no—
992#95—51no—
993#95—51no—
994#95—51no—
995#95—51no—
996#95—51no—
997#95—51no—
998#95—51no—
999#95—51no—
1000#95—51no—
1001#95—51no—
1002#95—51no—
1003#95—51no—
1004#95—51no—
1005#95—51no—
1006#95—51no—
1007#95—51no—
1008#95—51no—
1009#95—51no—
1010#95—51no—
1011#95—51no—
1012#95—51no—
1013#95—51no—
1014#95—51no—
1015#95—51no—
1016#95—51no—
1017#95C22×D511yescharacteristic
1018#95C22×D511yescharacteristic
1019#95C22×D511yescharacteristic
1020#95C22×D511yescharacteristic
1021#95C22×D511yescharacteristic
1022#95C22×D511yescharacteristic
1023#95C22×D511yescharacteristic
1024#95C22×D511yescharacteristic
1025#95C22×D511yescharacteristic
1026#95C22×D511yescharacteristic
1027#95C22×D511yescharacteristic
1028#95C22×D511yescharacteristic
1029C22×C5—22no—
1030C22×C5—22no—
1031C22×C5—22no—
1032C22×C5—22no—
1033C22×C5—22no—
1034C22×C5—22no—
1035C22×C5—41no—
1036C22×C5—41no—
1037C22×C5—41no—
1038C22×C5—41no—
1039C22×C5—41no—
1040C22×C5—41no—
1041C22×C5—41no—
1042C22×C5—41no—
1043C22×C5C22×#4111yescharacteristic
1044C22×C5C22×#4111yescharacteristic
1045C22×C5C22×#4111yescharacteristic
1046C22×C5C22×#4111yescharacteristic
1047C22×C5C22×#4111yescharacteristic
1048C22×C5C2×H(5,𝔽2)11yescharacteristic
1049C22×C5#58511yescharacteristic
1050C2×D5—22no—
1051C2×D5—22no—
1052C2×D5—22no—
1053C2×D5—41no—
1054C2×D5—41no—
1055C2×D5—41no—
1056C2×D5—41no—
1057C2×D5—41no—
1058C2×D5—41no—
1059C2×D5—41no—
1060C2×D5—41no—
1061C2×D5—41no—
1062C2×D5—41no—
1063C2×D5—41no—
1064C4×C5—22no—
1065C4×C5—22no—
1066C4×C5—22no—
1067C4×C5—22no—
1068C4×C5—22no—
1069C4×C5—41no—
1070C4×C5—41no—
1071C4×C5—41no—
1072C4×C5—41no—
1073C4×C5—41no—
1074C4×C5—41no—
1075C4×C5—41no—
1076C4×C5—41no—
1077Dic5—22no—
1078Dic5—22no—
1079Dic5—22no—
1080Dic5—22no—
1081Dic5—22no—
1082Dic5—41no—
1083Dic5—41no—
1084Dic5—41no—
1085Dic5—41no—
1086Dic5—41no—
1087Dic5—41no—
1088Dic5—41no—
1089Dic5—41no—
1090Dic5#55114yes—
1091C24—51no—
1092C24—51no—
1093C24C23×D511yescharacteristic
1094C24C23×D511yescharacteristic
1095#41—2016no—
1096C2×Q8—22no—
1097C2×Q8—22no—
1098C2×Q8—41no—
1099C2×Q8—102no—
1100C2×Q8—102no—
1101C2×Q8—201no—
1102C2×D4—22no—
1103C2×D4—22no—
1104C2×D4—41no—
1105C2×D4—102no—
1106C2×D4—102no—
1107C2×D4—102no—
1108C2×D4—102no—
1109C2×D4—102no—
1110C2×D4—102no—
1111C2×D4—102no—
1112C2×D4—102no—
1113C2×D4—102no—
1114C2×D4—102no—
1115C2×D4—102no—
1116C2×D4—201no—
1117C2×D4—201no—
1118C2×D4—201no—
1119C2×D4—201no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—22no—
1124C22×C4—22no—
1125C22×C4—41no—
1126C22×C4—51no—
1127C22×C4—54no—
1128C22×C4—54no—
1129C22×C4—51no—
1130C22×C4—51no—
1131C22×C4—51no—
1132C22×C4—51no—
1133C22×C4—51no—
1134C22×C4—51no—
1135C22×C4—51no—
1136C22×C4—51no—
1137C22×C4—51no—
1138C22×C4—51no—
1139C22×C4—51no—
1140C22×C4—51no—
1141C22×C4—51no—
1142C22×C4—102no—
1143C22×C4—102no—
1144C22×C4—102no—
1145C22×C4—102no—
1146C22×C4—102no—
1147C22×C4—102no—
1148C22×C4—102no—
1149C22×C4—102no—
1150C22×C4—102no—
1151C22×C4—102no—
1152C22×C4—102no—
1153C22×C4—102no—
1154C22×C4—102no—
1155C22×C4—102no—
1156C22×C4—102no—
1157C22×C4—102no—
1158C22×C4—201no—
1159C22×C4—201no—
1160C22×C4—201no—
1161C22×C4—201no—
1162C22×C4—201no—
1163C22×C4—201no—
1164C22×C4C23×D511yescharacteristic
1165C22×C4C23×D511yescharacteristic
1166C22×C4C23×D511yescharacteristic
1167C22×C4C23×D511yescharacteristic
1168C22×C4C23×D511yescharacteristic
1169C22×C4C23×D511yescharacteristic
1170C22×C4C23×D511yescharacteristic
1171C22×C4C23×D511yescharacteristic
1172C22×C4C23×D511yescharacteristic
1173C22×C4C23×D511yescharacteristic
1174C22×C4C23×D511yescharacteristic
1175C22×C4C23×D511yescharacteristic
1176C22×C4C23×D511yescharacteristic
1177C4⋊C4—22no—
1178C4⋊C4—22no—
1179C4⋊C4—22no—
1180C4⋊C4—22no—
1181C4⋊C4—41no—
1182C4⋊C4—102no—
1183C4⋊C4—102no—
1184C4⋊C4—102no—
1185C4⋊C4—102no—
1186C4⋊C4—102no—
1187C4⋊C4—102no—
1188C4⋊C4—102no—
1189C4⋊C4—102no—
1190C4⋊C4—102no—
1191C4⋊C4—102no—
1192C4⋊C4—102no—
1193C4⋊C4—102no—
1194C4⋊C4—102no—
1195C4⋊C4—201no—
1196C4⋊C4—201no—
1197C4⋊C4—201no—
1198C4⋊C4—201no—
1199C4⋊C4—201no—
1200C4⋊C4—201no—
1201C4⋊C4—201no—
1202C4⋊C4#71114yescomplemented
1203C22⋊C4—22no—
1204C22⋊C4—22no—
1205C22⋊C4—22no—
1206C22⋊C4—22no—
1207C22⋊C4—22no—
1208C22⋊C4—22no—
1209C22⋊C4—22no—
1210C22⋊C4—22no—
1211C22⋊C4—22no—
1212C22⋊C4—41no—
1213C22⋊C4—54no—
1214C22⋊C4—102no—
1215C22⋊C4—102no—
1216C22⋊C4—102no—
1217C22⋊C4—102no—
1218C22⋊C4—102no—
1219C22⋊C4—102no—
1220C22⋊C4—102no—
1221C22⋊C4—102no—
1222C22⋊C4—102no—
1223C22⋊C4—102no—
1224C22⋊C4—102no—
1225C22⋊C4—102no—
1226C22⋊C4—102no—
1227C22⋊C4—102no—
1228C22⋊C4—102no—
1229C22⋊C4—102no—
1230C22⋊C4—102no—
1231C22⋊C4—201no—
1232C22⋊C4—201no—
1233C22⋊C4—201no—
1234C22⋊C4—201no—
1235C22⋊C4—201no—
1236C22⋊C4—201no—
1237C22⋊C4—201no—
1238C22⋊C4—201no—
1239C22⋊C4—201no—
1240C22⋊C4—201no—
1241C42—22no—
1242C42—22no—
1243C42—41no—
1244C42—54no—
1245C42—102no—
1246C42—102no—
1247C42—102no—
1248C42—102no—
1249C42—102no—
1250C42—102no—
1251C42—102no—
1252C42—102no—
1253C42—102no—
1254C42—102no—
1255C42—102no—
1256C42—102no—
1257C42—102no—
1258C42—102no—
1259C42—102no—
1260C42—102no—
1261C42—201no—
1262C42—201no—
1263C42—201no—
1264C42—201no—
1265C42—201no—
1266C2×C5—42no—
1267C2×C5—42no—
1268C2×C5#344411yescharacteristic
1269C2×C5#344411yescharacteristic
1270C2×C5#346011yescharacteristic
1271C2×C5C2×#55111yescharacteristic
1272C2×C5#347511yescharacteristic
1273C2×C5#348011yescharacteristic
1274C2×C5#348111yescharacteristic
1275D5—42no—
1276D5—81no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—52no—
1290C23—101no—
1291C23—101no—
1292C23—101no—
1293C23—101no—
1294C23—101no—
1295C23—101no—
1296C23—101no—
1297C23—101no—
1298C23—101no—
1299C23—101no—
1300C23—101no—
1301C23—101no—
1302C23—101no—
1303C23D5×#4112yes—
1304C23D5×#4112yes—
1305C23C24×D511yescharacteristic
1306Q8—44no—
1307Q8—204no—
1308D4—44no—
1309D4—108no—
1310D4—204no—
1311D4—204no—
1312D4—204no—
1313D4—204no—
1314C2×C4—28no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—44no—
1350C2×C4—52no—
1351C2×C4—52no—
1352C2×C4—52no—
1353C2×C4—52no—
1354C2×C4—52no—
1355C2×C4—52no—
1356C2×C4—52no—
1357C2×C4—52no—
1358C2×C4—108no—
1359C2×C4—108no—
1360C2×C4—101no—
1361C2×C4—101no—
1362C2×C4—101no—
1363C2×C4—101no—
1364C2×C4—101no—
1365C2×C4—101no—
1366C2×C4—101no—
1367C2×C4—101no—
1368C2×C4—101no—
1369C2×C4—101no—
1370C2×C4—101no—
1371C2×C4—101no—
1372C2×C4—101no—
1373C2×C4—101no—
1374C2×C4—101no—
1375C2×C4—101no—
1376C2×C4—101no—
1377C2×C4—101no—
1378C2×C4—101no—
1379C2×C4—101no—
1380C2×C4—101no—
1381C2×C4—101no—
1382C2×C4—101no—
1383C2×C4—101no—
1384C2×C4—101no—
1385C2×C4—101no—
1386C2×C4—101no—
1387C2×C4—101no—
1388C2×C4—101no—
1389C2×C4—101no—
1390C2×C4—101no—
1391C2×C4—101no—
1392C2×C4—101no—
1393C2×C4—101no—
1394C2×C4—204no—
1395C2×C4—204no—
1396C2×C4—204no—
1397C2×C4—204no—
1398C2×C4—204no—
1399C2×C4—204no—
1400C2×C4C2×#71112yes—
1401C2×C4C2×#71112yes—
1402C2×C4C2×#71112yes—
1403C2×C4D5×#4112yes—
1404C2×C4D5×#4112yes—
1405C5#3486111yescharacteristic, complemented, Sylow
1406C22—22no—
1407C22—22no—
1408C22—22no—
1409C22—22no—
1410C22—22no—
1411C22—22no—
1412C22—41no—
1413C22—41no—
1414C22—41no—
1415C22—41no—
1416C22—41no—
1417C22—41no—
1418C22—41no—
1419C22—41no—
1420C22—102no—
1421C22—102no—
1422C22—102no—
1423C22—201no—
1424C22—201no—
1425C22—201no—
1426C22—201no—
1427C22—201no—
1428C22—201no—
1429C22—201no—
1430C22—201no—
1431C22—201no—
1432C22—201no—
1433C22—201no—
1434C22C22×#71111yescharacteristic
1435C22C2×D5×#4111yescharacteristic
1436C22C2×D5×#4111yescharacteristic
1437C22C2×D5×#4111yescharacteristic
1438C22C2×D5×#4111yescharacteristic
1439C22D5×H(5,𝔽2)11yescharacteristic
1440C22#6628711yescharacteristic
1441C4—22no—
1442C4—22no—
1443C4—22no—
1444C4—22no—
1445C4—22no—
1446C4—41no—
1447C4—41no—
1448C4—41no—
1449C4—41no—
1450C4—41no—
1451C4—41no—
1452C4—41no—
1453C4—41no—
1454C4—54no—
1455C4—102no—
1456C4—102no—
1457C4—102no—
1458C4—102no—
1459C4—102no—
1460C4—201no—
1461C4—201no—
1462C4—201no—
1463C4—201no—
1464C4—201no—
1465C4—201no—
1466C4—201no—
1467C4—201no—
1468C2—42no—
1469C2—42no—
1470C2—202no—
1471C2—401no—
1472C2#1061791911yescharacteristic
1473C2#1061802011yescharacteristic
1474C2#1061842511yescharacteristic
1475C2#1061852911yescharacteristic
1476C2#1061861211yescharacteristic
1477C2D5×#55111yescharacteristic
1478C2#1061872711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2477C2
prime radical#10608620C2
hypercenter#2477D5
hypocenterC5#34861
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2477

Complements

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

NH ≅ G/Ntype
1. C5×#2477C2semidirect
2. #10614498C2semidirect
3. Dic5×C22⋊Q8C2semidirect
4. #10614010C2semidirect
5. Dic5×#117C2semidirect
6. #10609927C2semidirect
7. #10609863C2semidirect
8. #10609263C2semidirect
9. #10609190C2semidirect
10. #10608688C2semidirect
12. #10608528C2semidirect
13. #10608509C2semidirect
14. #10608287C2semidirect
15. #10608211C2semidirect
16. #10607378C2semidirect
17. #10607288C2semidirect
18. #10607182C2semidirect
19. #10607180C2semidirect
20. #10607082C2semidirect
21. #10606774C2semidirect
22. #10606673C2semidirect
23. #10606671C2semidirect
24. #10606506C2semidirect
25. #10606446C2semidirect
26. #10606389C2semidirect
27. #10606389C2semidirect
28. #10606229C2semidirect
29. #10606111C2semidirect
30. #10605264C2semidirect
31. C4×#4027C2semidirect
376. #2477D5semidirect
486. C5×C4⋊C4#41semidirect
527. #685#41semidirect
569. C4×Dic5#41semidirect
1202. C4⋊C4#711semidirect
1405. C5#34861semidirect

Maximal subgroups

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

subgroupindex
C5×#24772
#106144982
Dic5×C22⋊Q82
#106140102
Dic5×#1172
#106099272
#106098632
#106092632
#106091902
#106086882
#106086202
#106085282
#106085092
#106082872
#106082112
#106073782
#106072882
#106071822
#106071802
#106070822
#106067742
#106066732
#106066712
#106065062
#106064462
#106063892
#106062292
#106061112
#106052642
C4×#40272
#348615