Finite Group Databasebeta

← #12307768

Subgroups — #12307768

Order 1280.

1742 conjugacy classes of subgroups.

The subgroup lattice has 1460 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2782C211yesmaximal, characteristic, complemented
2#10610118C211yesmaximal, characteristic, complemented
3#10610115C211yesmaximal, characteristic, complemented
4#10610107C211yesmaximal, characteristic, complemented
5#10610091C211yesmaximal, characteristic, complemented
6#10610084C211yesmaximal, characteristic, complemented
7#10610079C211yesmaximal, characteristic, complemented
8#10609438C211yesmaximal, characteristic, complemented
9#10609417C211yesmaximal, characteristic, complemented
10#10609408C211yesmaximal, characteristic, complemented
11#10609346C211yesmaximal, characteristic, complemented
12#10608841C211yesmaximal, characteristic
13#10608772C211yesmaximal, characteristic, complemented
14#10607689C211yesmaximal, characteristic, complemented
15D5×#388C211yesmaximal, characteristic, complemented
16#10607405C211yesmaximal, characteristic, complemented
17#10607403C211yesmaximal, characteristic, complemented
18#10606621C211yesmaximal, characteristic
19#10606607C211yesmaximal, characteristic
20#10606593C211yesmaximal, characteristic, complemented
21#10606567C211yesmaximal, characteristic, complemented
22#10606373C211yesmaximal, characteristic, complemented
23#10606341C211yesmaximal, characteristic, complemented
24#10606335C211yesmaximal, characteristic, complemented
25#10606322C211yesmaximal, characteristic, complemented
26#10606291C211yesmaximal, characteristic, complemented
27#10606278C211yesmaximal, characteristic, complemented
28#10606251C211yesmaximal, characteristic, complemented
29#10606144C211yesmaximal, characteristic, complemented
30#10605988C211yesmaximal, characteristic, complemented
31#10605979C211yesmaximal, characteristic, complemented
32C2×#4083C2211yescharacteristic
33C2×C4×C22⋊D5C2211yescharacteristic
34C22×#685C2211yescharacteristic
35C2×#4043C2211yescharacteristic
36C2×D5×C4⋊C4C2211yescharacteristic
37C2×#4029C2211yescharacteristic
38C2×#4029C2211yescharacteristic
39C2×D5×C22⋊C4C2211yescharacteristic
40C2×D5×C22⋊C4C2211yescharacteristic
41C2×D5×C22⋊C4C2211yescharacteristic
42C2×D5×C22⋊C4C2211yescharacteristic
43C2×#4025C2211yescharacteristic, complemented
44C2×#4024C2211yescharacteristic
45C2×C42×D5C2211yescharacteristic
46C2×#4016C2211yescharacteristic, complemented
47C5×#400C2211yescharacteristic, complemented
48C5×#400C2211yescharacteristic, complemented
49C5×#400C2211yescharacteristic, complemented
50C5×#397C2211yescharacteristic
51C5×#397C2211yescharacteristic, complemented
52C5×#394C2211yescharacteristic
53C5×#388C2211yescharacteristic
54C5×#388C2211yescharacteristic, complemented
55C5×#386C2211yescharacteristic
56C5×#386C2211yescharacteristic
57C5×#385C2211yescharacteristic
58C5×#385C2211yescharacteristic
59C5×#385C2211yescharacteristic, complemented
60C5×#385C2211yescharacteristic, complemented
61C5×#382C2211yescharacteristic, complemented
62#65511C2211yescharacteristic
63#65510C2211yescharacteristic
64#65509C2211yescharacteristic
65#65502C2211yescharacteristic
66#65501C2211yescharacteristic
67#65501C2211yescharacteristic
68#65501C2211yescharacteristic, complemented
69#65500C2211yescharacteristic, complemented
70#65499C2211yescharacteristic
71#65283C2211yescharacteristic
72#65283C2211yescharacteristic
73#65279C2211yescharacteristic
74#65278C2211yescharacteristic
75#65278C2211yescharacteristic
76#65278C2211yescharacteristic
77#65278C2211yescharacteristic
78#65278C2211yescharacteristic
79#65276C2211yescharacteristic
80#65276C2211yescharacteristic
81#65276C2211yescharacteristic
82#65276C2211yescharacteristic
83#65275C2211yescharacteristic, complemented
84#65274C2211yescharacteristic, complemented
85#65274C2211yescharacteristic, complemented
86#65273C2211yescharacteristic, complemented
87#65273C2211yescharacteristic, complemented
88#65272C2211yescharacteristic, complemented
89#65271C2211yescharacteristic, complemented
90#65270C2211yescharacteristic, complemented
91#65270C2211yescharacteristic, complemented
92#65270C2211yescharacteristic, complemented
93#65269C2211yescharacteristic, complemented
94#65268C2211yescharacteristic, complemented
95#65267C2211yescharacteristic, complemented
96#65262C2211yescharacteristic, complemented
97#65250C2211yescharacteristic
98#65248C2211yescharacteristic
99#65246C2211yescharacteristic
100#65245C2211yescharacteristic
101#65245C2211yescharacteristic
102#65245C2211yescharacteristic
103#65245C2211yescharacteristic
104#65245C2211yescharacteristic
105#65244C2211yescharacteristic
106#65242C2211yescharacteristic
107#65242C2211yescharacteristic
108#65242C2211yescharacteristic, complemented
109#65242C2211yescharacteristic, complemented
110#65241C2211yescharacteristic
111#65241C2211yescharacteristic
112#65241C2211yescharacteristic
113#65241C2211yescharacteristic, complemented
114#65240C2211yescharacteristic
115#65240C2211yescharacteristic, complemented
116#65239C2211yescharacteristic
117#65239C2211yescharacteristic
118#65238C2211yescharacteristic, complemented
119#65238C2211yescharacteristic, complemented
120#65237C2211yescharacteristic, complemented
121#65236C2211yescharacteristic, complemented
122#65235C2211yescharacteristic
123#65234C2211yescharacteristic
124#65234C2211yescharacteristic, complemented
125#65233C2211yescharacteristic
126#65233C2211yescharacteristic
127#65233C2211yescharacteristic
128#65231C2211yescharacteristic
129#65229C2211yescharacteristic
130#65222C2211yescharacteristic, complemented
131#64966C2211yescharacteristic
132#64964C2211yescharacteristic
133#64963C2211yescharacteristic
134#64962C2211yescharacteristic
135#64959C2211yescharacteristic
136#64959C2211yescharacteristic
137#64958C2211yescharacteristic
138#64958C2211yescharacteristic
139#64957C2211yescharacteristic
140#64957C2211yescharacteristic
141#64957C2211yescharacteristic
142#64957C2211yescharacteristic
143#64957C2211yescharacteristic
144#64957C2211yescharacteristic
145#64957C2211yescharacteristic
146#64957C2211yescharacteristic
147#64956C2211yescharacteristic
148#64956C2211yescharacteristic
149#64956C2211yescharacteristic
150#64955C2211yescharacteristic
151#64953C2211yescharacteristic
152#64953C2211yescharacteristic
153#64953C2211yescharacteristic
154#64953C2211yescharacteristic
155#64953C2211yescharacteristic
156#64953C2211yescharacteristic
157D5×#95C2211yescharacteristic
158D5×#95C2211yescharacteristic
159C5⋊#401C2211yescharacteristic, complemented
160#64950C2211yescharacteristic, complemented
161#64950C2211yescharacteristic, complemented
162#64950C2211yescharacteristic, complemented
163#64949C2211yescharacteristic, complemented
164#64949C2211yescharacteristic, complemented
165#64949C2211yescharacteristic, complemented
166#64948C2211yescharacteristic, complemented
167#64948C2211yescharacteristic, complemented
168#64947C2211yescharacteristic, complemented
169#64947C2211yescharacteristic, complemented
170#64946C2211yescharacteristic, complemented
171#64946C2211yescharacteristic, complemented
172#64945C2211yescharacteristic, complemented
173#64944C2211yescharacteristic, complemented
174#64944C2211yescharacteristic, complemented
175#64943C2211yescharacteristic, complemented
176#64943C2211yescharacteristic, complemented
177#64943C2211yescharacteristic, complemented
178#64942C2211yescharacteristic, complemented
179#64942C2211yescharacteristic, complemented
180#64942C2211yescharacteristic, complemented
181#64942C2211yescharacteristic, complemented
182#64941C2211yescharacteristic, complemented
183#64940C2211yescharacteristic, complemented
184#64940C2211yescharacteristic, complemented
185#64939C2211yescharacteristic, complemented
186#64935C2211yescharacteristic, complemented
187#36780—51nomaximal, Sylow
188C24×D5C2311yescharacteristic
189C22×C5×D4C2311yescharacteristic
190C23×C4×C5C2311yescharacteristic
191C23×C4×C5C2311yescharacteristic
192C22×C22⋊D5C2311yescharacteristic
193C22×C22⋊D5C2311yescharacteristic
194C23×Dic5C2311yescharacteristic
195C22×C4×D5C2311yescharacteristic
196C22×C4×D5C2311yescharacteristic
197C22×C4×D5C2311yescharacteristic
198C22×C4×D5C2311yescharacteristic
199C22×C4×D5C2311yescharacteristic
200C22×C4×D5C2311yescharacteristic
201C22×C4×D5C2311yescharacteristic
202C22×C4×D5C2311yescharacteristic
203C22×Dic10C2311yescharacteristic
204C2×C5×C4⋊C4C2311yescharacteristic
205C2×C5×C4⋊C4C2311yescharacteristic
206C2×C5×C4⋊C4C2311yescharacteristic
207C2×C5×C4⋊C4C2311yescharacteristic
208C2×C5×C4⋊C4C2311yescharacteristic
209C2×C5×C4⋊C4C2311yescharacteristic
210C2×C5×C4⋊C4C2311yescharacteristic
211C2×C5×C22⋊C4C2311yescharacteristic
212C2×C5×C22⋊C4C2311yescharacteristic
213C2×C5×C22⋊C4C2311yescharacteristic
214C2×C5×C22⋊C4C2311yescharacteristic
215C2×C5×C22⋊C4C2311yescharacteristic
216C2×C5×C22⋊C4C2311yescharacteristic
217C2×C5×C22⋊C4C2311yescharacteristic
218C2×C5×C22⋊C4C2311yescharacteristic
219C2×C5×C22⋊C4C2311yescharacteristic
220C2×C5×C22⋊C4C2311yescharacteristic
221C2×C42×C5C2311yescharacteristic
222C2×C22⋊Dic5C2311yescharacteristic
223C2×C22⋊Dic5C2311yescharacteristic
224C2×C22⋊Dic5C2311yescharacteristic
225C2×C22⋊Dic5C2311yescharacteristic
226C2×C22⋊Dic5C2311yescharacteristic
227C2×C22⋊Dic5C2311yescharacteristic
228C2×C22⋊Dic5C2311yescharacteristic
229C2×C22⋊Dic5C2311yescharacteristic
230C2×C22⋊Dic5C2311yescharacteristic
231C2×C22⋊Dic5C2311yescharacteristic
232C2×C22⋊Dic5C2311yescharacteristic
233C2×C22⋊Dic5C2311yescharacteristic
234#4083—24no—
235C4×C22⋊D5—42no—
236C2×#685—42no—
237C2×#685C2311yescharacteristic
238C2×#685C2311yescharacteristic
239C2×#685C2311yescharacteristic
240C2×#685C2311yescharacteristic
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×C4⋊Dic5C2311yescharacteristic
256C2×C4⋊Dic5C2311yescharacteristic
257C2×C4⋊Dic5C2311yescharacteristic
258C2×C4⋊Dic5C2311yescharacteristic
259C2×C4⋊Dic5C2311yescharacteristic
260C2×C4⋊Dic5C2311yescharacteristic
261C2×C4⋊Dic5C2311yescharacteristic
262C2×C4⋊Dic5C2311yescharacteristic
263C2×C4⋊Dic5C2311yescharacteristic
264C2×C4⋊Dic5C2311yescharacteristic
265C2×C4⋊Dic5C2311yescharacteristic
266C2×C4⋊Dic5C2311yescharacteristic
267C2×C4⋊Dic5C2311yescharacteristic
268C2×#683C2311yescharacteristic
269C2×#683C2311yescharacteristic
270C2×#683C2311yescharacteristic
271C2×#683C2311yescharacteristic
272C2×#683C2311yescharacteristic
273C2×#683C2311yescharacteristic
274C2×#683C2311yescharacteristic
275C2×#683C2311yescharacteristic
276C2×#683C2311yescharacteristic
277C2×#683C2311yescharacteristic
278C2×#683C2311yescharacteristic
279C2×#683C2311yescharacteristic
280C2×#683C2311yescharacteristic
281C2×#683C2311yescharacteristic
282C2×#683C2311yescharacteristic
283C2×#683C2311yescharacteristic
284C2×C4×Dic5C2311yescharacteristic
285C2×C4×Dic5C2311yescharacteristic
286C2×C4×Dic5C2311yescharacteristic
287C2×C4×Dic5C2311yescharacteristic
288C2×C4×Dic5C2311yescharacteristic
289C2×C4×Dic5C2311yescharacteristic
290#4043—42no—
291D5×C4⋊C4—42no—
292#4029—42no—
293#4029—42no—
294D5×C22⋊C4—24no—
295D5×C22⋊C4—24no—
296D5×C22⋊C4—42no—
297D5×C22⋊C4—42no—
298#4025—42no—
299#4024—42no—
300C42×D5—42no—
301#4016—42no—
302C5×#95C2311yescharacteristic
303C5×#95C2311yescharacteristic
304C5×#95C2311yescharacteristic
305C5×#95C2311yescharacteristic
306C5×#95C2311yescharacteristic
307C5×#95C2311yescharacteristic
308C5×#95C2311yescharacteristic
309C5×#95C2311yescharacteristic
310C5×#95C2311yescharacteristic
311C5×#95C2311yescharacteristic
312C5×#95C2311yescharacteristic
313C5×#95C2311yescharacteristic
314C5×#95C2311yescharacteristic
315C5×#95C2311yescharacteristic
316#3963C2311yescharacteristic
317#3963C2311yescharacteristic
318#3963C2311yescharacteristic
319#3963C2311yescharacteristic
320#3963C2311yescharacteristic
321#3963C2311yescharacteristic
322#3963C2311yescharacteristic
323#3963C2311yescharacteristic
324#3963C2311yescharacteristic
325#3963C2311yescharacteristic
326#3963C2311yescharacteristic
327#3963C2311yescharacteristic
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#2852—51no—
359#2851—51no—
360#2786—51no—
361#2782D511yescharacteristic, complemented
362#2770—51no—
363#2770—51no—
364#2747—51no—
365#2746—51no—
366#2745—51no—
367#2744—51no—
368#2744—51no—
369#2743—51no—
370#2738—51no—
371#2737—51no—
372#2723—51no—
373#2695—51no—
374#2694—51no—
375#2690—51no—
376#2627—51no—
377#2623—51no—
378#2505—51no—
379#2493—51no—
380#2483—51no—
381#2450—51no—
382#2437—51no—
383#2419—51no—
384#2412—51no—
385#2412—51no—
386#2321—51no—
387#2315—51no—
388C2×#388—51no—
389C24×C5C2411yescharacteristic
390C24×C5C2411yescharacteristic
391C23×D5—22no—
392C23×D5—22no—
393C23×D5—41no—
394C23×D5—41no—
395C23×D5—41no—
396C23×D5—41no—
397C23×D5#4114yes—
398C23×D5C2411yescharacteristic
399C23×D5C2411yescharacteristic
400C2×C5×D4—22no—
401C2×C5×D4—41no—
402C2×C5×D4—41no—
403C22×C4×C5—41no—
404C22×C4×C5—41no—
405C22×C4×C5—41no—
406C22×C4×C5—41no—
407C22×C4×C5—41no—
408C22×C4×C5—41no—
409C22×C4×C5C2411yescharacteristic
410C22×C4×C5C2411yescharacteristic
411C22×C4×C5C2411yescharacteristic
412C22×C4×C5C2411yescharacteristic
413C22×C4×C5C2411yescharacteristic
414C22×C4×C5C2411yescharacteristic
415C22×C4×C5C2411yescharacteristic
416C22×C4×C5C2411yescharacteristic
417C22×C4×C5C2411yescharacteristic
418C22×C4×C5C2411yescharacteristic
419C22×C4×C5C2411yescharacteristic
420C22×C4×C5C2411yescharacteristic
421C22×C4×C5C2411yescharacteristic
422C2×C22⋊D5—22no—
423C2×C22⋊D5—22no—
424C2×C22⋊D5—22no—
425C2×C22⋊D5—22no—
426C2×C22⋊D5—41no—
427C2×C22⋊D5—41no—
428C22×Dic5—41no—
429C22×Dic5—41no—
430C22×Dic5—41no—
431C22×Dic5C2411yescharacteristic
432C22×Dic5C2411yescharacteristic
433C22×Dic5C2411yescharacteristic
434C22×Dic5C2411yescharacteristic
435C22×Dic5C2411yescharacteristic
436C22×Dic5C2411yescharacteristic
437C22×Dic5C2411yescharacteristic
438C22×Dic5C2411yescharacteristic
439C22×Dic5C2411yescharacteristic
440C22×Dic5C2411yescharacteristic
441C22×Dic5C2411yescharacteristic
442C22×Dic5C2411yescharacteristic
443C22×Dic5C2411yescharacteristic
444C22×Dic5C2411yescharacteristic
445C2×C4×D5—22no—
446C2×C4×D5—22no—
447C2×C4×D5—22no—
448C2×C4×D5—22no—
449C2×C4×D5—22no—
450C2×C4×D5—22no—
451C2×C4×D5—22no—
452C2×C4×D5—22no—
453C2×C4×D5—22no—
454C2×C4×D5—22no—
455C2×C4×D5—22no—
456C2×C4×D5—41no—
457C2×C4×D5—41no—
458C2×C4×D5—41no—
459C2×C4×D5—41no—
460C2×C4×D5—41no—
461C2×C4×D5—41no—
462C2×C4×D5—41no—
463C2×C4×D5—41no—
464C2×C4×D5—41no—
465C2×C4×D5—41no—
466C2×C4×D5—41no—
467C2×C4×D5—41no—
468C2×C4×D5—41no—
469C2×Dic10—41no—
470C2×Dic10—41no—
471C2×Dic10—41no—
472C5×C4⋊C4—41no—
473C5×C4⋊C4—41no—
474C5×C4⋊C4—41no—
475C5×C4⋊C4—41no—
476C5×C4⋊C4—41no—
477C5×C4⋊C4—41no—
478C5×C4⋊C4—41no—
479C5×C22⋊C4—22no—
480C5×C22⋊C4—22no—
481C5×C22⋊C4—22no—
482C5×C22⋊C4—22no—
483C5×C22⋊C4—41no—
484C5×C22⋊C4—41no—
485C5×C22⋊C4—41no—
486C5×C22⋊C4—41no—
487C5×C22⋊C4—41no—
488C5×C22⋊C4—41no—
489C42×C5—22no—
490C22⋊Dic5—22no—
491C22⋊Dic5—22no—
492C22⋊Dic5—22no—
493C22⋊Dic5—41no—
494C22⋊Dic5—41no—
495C22⋊Dic5—41no—
496C22⋊Dic5—41no—
497C22⋊Dic5—41no—
498C22⋊Dic5—41no—
499C22⋊Dic5—41no—
500C22⋊Dic5—41no—
501C22⋊Dic5—41no—
502#685—22no—
503#685—22no—
504#685—22no—
505#685—22no—
506#685—22no—
507#685—22no—
508#685—22no—
509#685—22no—
510#685—22no—
511#685—22no—
512#685—22no—
513#685—41no—
514#685—41no—
515#685—41no—
516#685—41no—
517#685—41no—
518#685—41no—
519#685—41no—
520C4⋊Dic5—22no—
521C4⋊Dic5—22no—
522C4⋊Dic5—41no—
523C4⋊Dic5—41no—
524C4⋊Dic5—41no—
525C4⋊Dic5—41no—
526C4⋊Dic5—41no—
527C4⋊Dic5—41no—
528C4⋊Dic5—41no—
529C4⋊Dic5—41no—
530C4⋊Dic5—41no—
531C4⋊Dic5—41no—
532C4⋊Dic5—41no—
533#683—22no—
534#683—41no—
535#683—41no—
536#683—41no—
537#683—41no—
538#683—41no—
539#683—41no—
540#683—41no—
541#683—41no—
542#683—41no—
543#683—41no—
544#683—41no—
545#683—41no—
546#683—41no—
547#683—41no—
548#683—41no—
549C4×Dic5—22no—
550C4×Dic5—41no—
551C4×Dic5—41no—
552C4×Dic5—41no—
553C4×Dic5—41no—
554C4×Dic5—41no—
555C2×#126—51no—
556C2×#125—51no—
557C2×#123—51no—
558C2×#123—51no—
559C2×C22⋊Q8—51no—
560C2×C22⋊Q8—51no—
561C2×#120—51no—
562C2×C4×D4—51no—
563C22×C4⋊C4—51no—
564C22×C22⋊C4—51no—
565C22×C22⋊C4—51no—
566C22×C22⋊C4—51no—
567C22×C22⋊C4—51no—
568C22×C22⋊C4—51no—
569C22×C42—51no—
570#401—51no—
571#400—51no—
572#400—51no—
573#400—51no—
574#400—51no—
575#400—51no—
576#400—51no—
577#400—51no—
578#400—51no—
579#400—51no—
580#400C2×D511yescharacteristic, complemented
581#400C2×D511yescharacteristic, complemented
582#400C2×D511yescharacteristic, complemented
583#399—51no—
584#399—51no—
585#399—51no—
586#398—51no—
587#398—51no—
588#398—51no—
589#398—51no—
590#398—51no—
591#398—51no—
592#398—51no—
593#398—51no—
594#398—51no—
595#397—51no—
596#397—51no—
597#397—51no—
598#397—51no—
599#397—51no—
600#397—51no—
601#397—51no—
602#397—51no—
603#397—51no—
604#397—51no—
605#397C2×D511yescharacteristic
606#397C2×D511yescharacteristic, complemented
607#396—51no—
608#396—51no—
609#396—51no—
610#395—51no—
611#395—51no—
612#394—51no—
613#394—51no—
614#394—51no—
615#394C2×D511yescharacteristic
616#393—51no—
617#393—51no—
618#391—51no—
619#390—51no—
620#390—51no—
621#389—51no—
622#389—51no—
623#389—51no—
624#388—51no—
625#388—51no—
626#388—51no—
627#388—51no—
628#388—51no—
629#388—51no—
630#388—51no—
631#388—51no—
632#388—51no—
633#388—51no—
634#388—51no—
635#388—51no—
636#388—51no—
637#388C2×D511yescharacteristic
638#388C2×D511yescharacteristic, complemented
639#387—51no—
640#387—51no—
641#387—51no—
642#387—51no—
643#387—51no—
644#387—51no—
645#387—51no—
646#387—51no—
647#387—51no—
648#387—51no—
649#387—51no—
650#387—51no—
651#387—51no—
652#387—51no—
653#387—51no—
654#386—51no—
655#386—51no—
656#386—51no—
657#386—51no—
658#386—51no—
659#386—51no—
660#386—51no—
661#386C2×D511yescharacteristic
662#386C2×D511yescharacteristic
663#385—51no—
664#385—51no—
665#385—51no—
666#385—51no—
667#385—51no—
668#385—51no—
669#385—51no—
670#385—51no—
671#385—51no—
672#385—51no—
673#385—51no—
674#385—51no—
675#385—51no—
676#385—51no—
677#385—51no—
678#385—51no—
679#385—51no—
680#385C2×D511yescharacteristic
681#385C2×D511yescharacteristic
682#385C2×D511yescharacteristic, complemented
683#385C2×D511yescharacteristic, complemented
684#383—51no—
685#383—51no—
686#382—51no—
687#382C2×D511yescharacteristic, complemented
688#381—51no—
689#381—51no—
690#381—51no—
691#381—51no—
692#381—51no—
693#381—51no—
694#381—51no—
695#380—51no—
696#380—51no—
697#380—51no—
698#380—51no—
699#380—51no—
700#380—51no—
701#380—51no—
702#380—51no—
703#380—51no—
704#380—51no—
705#380—51no—
706#379—51no—
707C4×C22⋊C4—51no—
708C2×#95—51no—
709C2×#95—51no—
710C23×C5—21no—
711C23×C5—21no—
712C23×C5—21no—
713C23×C5—21no—
714C23×C5—21no—
715C23×C5—21no—
716C23×C5—21no—
717C23×C5—21no—
718C23×C5—21no—
719C23×C5—21no—
720C23×C5—21no—
721C23×C5—21no—
722C23×C5—21no—
723C23×C5C2×#4112yes—
724C23×C5C2511yescharacteristic
725C22×D5—21no—
726C22×D5—21no—
727C22×D5—21no—
728C22×D5—21no—
729C22×D5—21no—
730C22×D5—21no—
731C22×D5—21no—
732C22×D5—21no—
733C22×D5—21no—
734C22×D5—21no—
735C22×D5—28no—
736C22×D5—44no—
737C22×D5—44no—
738C22×D5—82no—
739C22×D5—82no—
740C22×D5—82no—
741C22×D5—82no—
742C22×D5C2×#4112yes—
743C22×D5C2×#4112yes—
744C22×D5H(5,𝔽2)12yes—
745C22×D52−1+412yes—
746C5×D4—82no—
747C2×C4×C5—21no—
748C2×C4×C5—21no—
749C2×C4×C5—21no—
750C2×C4×C5—21no—
751C2×C4×C5—21no—
752C2×C4×C5—21no—
753C2×C4×C5—21no—
754C2×C4×C5—21no—
755C2×C4×C5—21no—
756C2×C4×C5—21no—
757C2×C4×C5—21no—
758C2×C4×C5—21no—
759C2×C4×C5—21no—
760C2×C4×C5—21no—
761C2×C4×C5—21no—
762C2×C4×C5—21no—
763C2×C4×C5—21no—
764C2×C4×C5—21no—
765C2×C4×C5—21no—
766C2×C4×C5—21no—
767C2×C4×C5—21no—
768C2×C4×C5—21no—
769C2×C4×C5—21no—
770C2×C4×C5—21no—
771C2×C4×C5—21no—
772C2×C4×C5—21no—
773C2×C4×C5—21no—
774C2×C4×C5—21no—
775C2×C4×C5—21no—
776C2×C4×C5—21no—
777C2×C4×C5—21no—
778C2×C4×C5—21no—
779C2×C4×C5—21no—
780C2×C4×C5—21no—
781C2×C4×C5—21no—
782C2×C4×C5—21no—
783C2×C4×C5—21no—
784C2×C4×C5—21no—
785C2×C4×C5—82no—
786C2×C4×C5—82no—
787C2×C4×C5H(5,𝔽2)12yes—
788C22⋊D5—44no—
789C22⋊D5—82no—
790C2×Dic5—21no—
791C2×Dic5—21no—
792C2×Dic5—21no—
793C2×Dic5—21no—
794C2×Dic5—21no—
795C2×Dic5—21no—
796C2×Dic5—21no—
797C2×Dic5—21no—
798C2×Dic5—21no—
799C2×Dic5—21no—
800C2×Dic5—21no—
801C2×Dic5—21no—
802C2×Dic5—21no—
803C2×Dic5—21no—
804C2×Dic5—21no—
805C2×Dic5—21no—
806C2×Dic5—21no—
807C2×Dic5—21no—
808C2×Dic5—21no—
809C2×Dic5—21no—
810C2×Dic5—21no—
811C2×Dic5—21no—
812C2×Dic5—21no—
813C2×Dic5—21no—
814C2×Dic5—21no—
815C2×Dic5—21no—
816C2×Dic5—21no—
817C2×Dic5—21no—
818C2×Dic5—21no—
819C2×Dic5—21no—
820C2×Dic5—21no—
821C2×Dic5—21no—
822C2×Dic5—21no—
823C2×Dic5—21no—
824C2×Dic5—21no—
825C2×Dic5—21no—
826C2×Dic5—21no—
827C2×Dic5—21no—
828C2×Dic5—21no—
829C2×Dic5—21no—
830C2×Dic5—21no—
831C2×Dic5—21no—
832C2×Dic5—82no—
833C4×D5—44no—
834C4×D5—44no—
835C4×D5—44no—
836C4×D5—44no—
837C4×D5—82no—
838C4×D5—82no—
839C4×D5—82no—
840C4×D5—82no—
841Dic10—82no—
842C25—51no—
843C22×Q8—51no—
844C22×D4—51no—
845C22×D4—51no—
846C22×D4C22×D511yescharacteristic
847C23×C4—51no—
848C23×C4—51no—
849C23×C4—51no—
850C23×C4—51no—
851C23×C4—51no—
852C23×C4—51no—
853C23×C4—51no—
854C23×C4—51no—
855C23×C4—51no—
856C23×C4C22×D511yescharacteristic
857C23×C4C22×D511yescharacteristic
858#126—202no—
859#125—202no—
860#123—202no—
861#123—202no—
862C22⋊Q8—202no—
863C22⋊Q8—202no—
864#120—104no—
865C4×D4—202no—
866C2×C4⋊C4—51no—
867C2×C4⋊C4—51no—
868C2×C4⋊C4—51no—
869C2×C4⋊C4—51no—
870C2×C4⋊C4—51no—
871C2×C4⋊C4—51no—
872C2×C4⋊C4—51no—
873C2×C4⋊C4—51no—
874C2×C4⋊C4—51no—
875C2×C4⋊C4—51no—
876C2×C4⋊C4—51no—
877C2×C4⋊C4—51no—
878C2×C4⋊C4—51no—
879C2×C4⋊C4—51no—
880C2×C4⋊C4—51no—
881C2×C4⋊C4—51no—
882C2×C4⋊C4—51no—
883C2×C4⋊C4—51no—
884C2×C4⋊C4—51no—
885C2×C4⋊C4—51no—
886C2×C4⋊C4—51no—
887C2×C4⋊C4—51no—
888C2×C4⋊C4—51no—
889C2×C4⋊C4—51no—
890C2×C4⋊C4—51no—
891C2×C4⋊C4—51no—
892C2×C4⋊C4—51no—
893C2×C4⋊C4—51no—
894C2×C4⋊C4—51no—
895C2×C4⋊C4—202no—
896C2×C4⋊C4C22×D511yescharacteristic
897C2×C4⋊C4C22×D511yescharacteristic
898C2×C4⋊C4C22×D511yescharacteristic
899C2×C4⋊C4C22×D511yescharacteristic
900C2×C4⋊C4C22×D511yescharacteristic
901C2×C4⋊C4C22×D511yescharacteristic
902C2×C4⋊C4C22×D511yescharacteristic
903C2×C22⋊C4—51no—
904C2×C22⋊C4—51no—
905C2×C22⋊C4—51no—
906C2×C22⋊C4—51no—
907C2×C22⋊C4—51no—
908C2×C22⋊C4—51no—
909C2×C22⋊C4—51no—
910C2×C22⋊C4—51no—
911C2×C22⋊C4—51no—
912C2×C22⋊C4—51no—
913C2×C22⋊C4—51no—
914C2×C22⋊C4—51no—
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—104no—
934C2×C22⋊C4—104no—
935C2×C22⋊C4—202no—
936C2×C22⋊C4—202no—
937C2×C22⋊C4—202no—
938C2×C22⋊C4C22×D511yescharacteristic
939C2×C22⋊C4C22×D511yescharacteristic
940C2×C22⋊C4C22×D511yescharacteristic
941C2×C22⋊C4C22×D511yescharacteristic
942C2×C22⋊C4C22×D511yescharacteristic
943C2×C22⋊C4C22×D511yescharacteristic
944C2×C22⋊C4C22×D511yescharacteristic
945C2×C22⋊C4C22×D511yescharacteristic
946C2×C22⋊C4C22×D511yescharacteristic
947C2×C22⋊C4C22×D511yescharacteristic
948C2×C42—51no—
949C2×C42—51no—
950C2×C42—51no—
951C2×C42—51no—
952C2×C42—51no—
953C2×C42—51no—
954C2×C42—202no—
955C2×C42C22×D511yescharacteristic
956#95—51no—
957#95—51no—
958#95—51no—
959#95—51no—
960#95—51no—
961#95—51no—
962#95—51no—
963#95—51no—
964#95—51no—
965#95—51no—
966#95—51no—
967#95—51no—
968#95—51no—
969#95—51no—
970#95—51no—
971#95—51no—
972#95—51no—
973#95—51no—
974#95—51no—
975#95—51no—
976#95—51no—
977#95—51no—
978#95—51no—
979#95—51no—
980#95—51no—
981#95—51no—
982#95—51no—
983#95—51no—
984#95—51no—
985#95—51no—
986#95—51no—
987#95—51no—
988#95—51no—
989#95—51no—
990#95—51no—
991#95—51no—
992#95—51no—
993#95—51no—
994#95—51no—
995#95—51no—
996#95—51no—
997#95—51no—
998#95C22×D511yescharacteristic
999#95C22×D511yescharacteristic
1000#95C22×D511yescharacteristic
1001#95C22×D511yescharacteristic
1002#95C22×D511yescharacteristic
1003#95C22×D511yescharacteristic
1004#95C22×D511yescharacteristic
1005#95C22×D511yescharacteristic
1006#95C22×D511yescharacteristic
1007#95C22×D511yescharacteristic
1008#95C22×D511yescharacteristic
1009#95C22×D511yescharacteristic
1010#95C22×D511yescharacteristic
1011#95C22×D511yescharacteristic
1012C22×C5—22no—
1013C22×C5—22no—
1014C22×C5—22no—
1015C22×C5—41no—
1016C22×C5—41no—
1017C22×C5—41no—
1018C22×C5—41no—
1019C22×C5—41no—
1020C22×C5—41no—
1021C22×C5—41no—
1022C22×C5—41no—
1023C22×C5—41no—
1024C22×C5—41no—
1025C22×C5—41no—
1026C22×C5C22×#4111yescharacteristic
1027C22×C5C2×H(5,𝔽2)11yescharacteristic
1028C22×C5C2×H(5,𝔽2)11yescharacteristic
1029C22×C5C2×2−1+411yescharacteristic
1030C22×C5#58511yescharacteristic
1031C22×C5#58511yescharacteristic
1032C22×C5#58511yescharacteristic
1033C2×D5—22no—
1034C2×D5—22no—
1035C2×D5—22no—
1036C2×D5—22no—
1037C2×D5—22no—
1038C2×D5—22no—
1039C2×D5—22no—
1040C2×D5—22no—
1041C2×D5—22no—
1042C2×D5—41no—
1043C2×D5—41no—
1044C2×D5—41no—
1045C2×D5—41no—
1046C2×D5—88no—
1047C2×D5#53914yes—
1048C4×C5—22no—
1049C4×C5—41no—
1050C4×C5—41no—
1051C4×C5—41no—
1052C4×C5—41no—
1053C4×C5—41no—
1054C4×C5—41no—
1055C4×C5—41no—
1056C4×C5—41no—
1057C4×C5—41no—
1058C4×C5—41no—
1059C4×C5—41no—
1060C4×C5—41no—
1061Dic5—41no—
1062Dic5—41no—
1063Dic5—41no—
1064Dic5—41no—
1065Dic5—41no—
1066Dic5—41no—
1067Dic5—41no—
1068Dic5—41no—
1069Dic5—41no—
1070Dic5—41no—
1071Dic5—41no—
1072Dic5—41no—
1073Dic5—41no—
1074Dic5—41no—
1075C24—51no—
1076C24—51no—
1077C24—54no—
1078C24—102no—
1079C24—102no—
1080C24—201no—
1081C24—201no—
1082C24—201no—
1083C24—201no—
1084C24C23×D511yescharacteristic
1085C24C23×D511yescharacteristic
1086C2×Q8—201no—
1087C2×Q8—201no—
1088C2×Q8—201no—
1089C2×D4—22no—
1090C2×D4—41no—
1091C2×D4—41no—
1092C2×D4—102no—
1093C2×D4—102no—
1094C2×D4—102no—
1095C2×D4—102no—
1096C2×D4—201no—
1097C2×D4—201no—
1098C22×C4—41no—
1099C22×C4—41no—
1100C22×C4—41no—
1101C22×C4—41no—
1102C22×C4—41no—
1103C22×C4—41no—
1104C22×C4—51no—
1105C22×C4—51no—
1106C22×C4—51no—
1107C22×C4—51no—
1108C22×C4—51no—
1109C22×C4—51no—
1110C22×C4—51no—
1111C22×C4—51no—
1112C22×C4—51no—
1113C22×C4—51no—
1114C22×C4—51no—
1115C22×C4—51no—
1116C22×C4—51no—
1117C22×C4—51no—
1118C22×C4—102no—
1119C22×C4—102no—
1120C22×C4—102no—
1121C22×C4—102no—
1122C22×C4—102no—
1123C22×C4—102no—
1124C22×C4—102no—
1125C22×C4—102no—
1126C22×C4—102no—
1127C22×C4—102no—
1128C22×C4—102no—
1129C22×C4—201no—
1130C22×C4—201no—
1131C22×C4—201no—
1132C22×C4—201no—
1133C22×C4—201no—
1134C22×C4—201no—
1135C22×C4—201no—
1136C22×C4—201no—
1137C22×C4—201no—
1138C22×C4—201no—
1139C22×C4—201no—
1140C22×C4—201no—
1141C22×C4—201no—
1142C22×C4—201no—
1143C22×C4—201no—
1144C22×C4—201no—
1145C22×C4C23×D511yescharacteristic
1146C22×C4C23×D511yescharacteristic
1147C22×C4C23×D511yescharacteristic
1148C22×C4C23×D511yescharacteristic
1149C22×C4C23×D511yescharacteristic
1150C22×C4C23×D511yescharacteristic
1151C22×C4C23×D511yescharacteristic
1152C22×C4C23×D511yescharacteristic
1153C22×C4C23×D511yescharacteristic
1154C22×C4C23×D511yescharacteristic
1155C22×C4C23×D511yescharacteristic
1156C22×C4C23×D511yescharacteristic
1157C22×C4C23×D511yescharacteristic
1158C4⋊C4—41no—
1159C4⋊C4—41no—
1160C4⋊C4—41no—
1161C4⋊C4—41no—
1162C4⋊C4—41no—
1163C4⋊C4—41no—
1164C4⋊C4—41no—
1165C4⋊C4—102no—
1166C4⋊C4—102no—
1167C4⋊C4—102no—
1168C4⋊C4—201no—
1169C4⋊C4—201no—
1170C4⋊C4—201no—
1171C4⋊C4—201no—
1172C4⋊C4—201no—
1173C4⋊C4—201no—
1174C4⋊C4—201no—
1175C4⋊C4—201no—
1176C4⋊C4—201no—
1177C4⋊C4—201no—
1178C4⋊C4—201no—
1179C4⋊C4—201no—
1180C4⋊C4—201no—
1181C4⋊C4—201no—
1182C4⋊C4—201no—
1183C4⋊C4—201no—
1184C4⋊C4—201no—
1185C4⋊C4—201no—
1186C4⋊C4—201no—
1187C4⋊C4—201no—
1188C4⋊C4—201no—
1189C4⋊C4—201no—
1190C4⋊C4—201no—
1191C4⋊C4—201no—
1192C4⋊C4—201no—
1193C4⋊C4—201no—
1194C22⋊C4—22no—
1195C22⋊C4—22no—
1196C22⋊C4—22no—
1197C22⋊C4—22no—
1198C22⋊C4—41no—
1199C22⋊C4—41no—
1200C22⋊C4—41no—
1201C22⋊C4—41no—
1202C22⋊C4—41no—
1203C22⋊C4—41no—
1204C22⋊C4—102no—
1205C22⋊C4—102no—
1206C22⋊C4—102no—
1207C22⋊C4—102no—
1208C22⋊C4—102no—
1209C22⋊C4—102no—
1210C22⋊C4—102no—
1211C22⋊C4—102no—
1212C22⋊C4—102no—
1213C22⋊C4—102no—
1214C22⋊C4—102no—
1215C22⋊C4—102no—
1216C22⋊C4—102no—
1217C22⋊C4—102no—
1218C22⋊C4—201no—
1219C22⋊C4—201no—
1220C22⋊C4—201no—
1221C22⋊C4—201no—
1222C22⋊C4—201no—
1223C22⋊C4—201no—
1224C22⋊C4—201no—
1225C22⋊C4—201no—
1226C22⋊C4—201no—
1227C22⋊C4—201no—
1228C22⋊C4—201no—
1229C22⋊C4—201no—
1230C22⋊C4—201no—
1231C22⋊C4—201no—
1232C22⋊C4—201no—
1233C22⋊C4—201no—
1234C42—22no—
1235C42—102no—
1236C42—201no—
1237C42—201no—
1238C42—201no—
1239C42—201no—
1240C42—201no—
1241C2×C5—42no—
1242C2×C5—81no—
1243C2×C5C2×#53911yescharacteristic
1244C2×C5#349111yescharacteristic
1245C2×C5#350511yescharacteristic
1246C2×C5#353511yescharacteristic
1247C2×C5#354211yescharacteristic
1248C2×C5#354511yescharacteristic
1249C2×C5#356411yescharacteristic
1250D5—24no—
1251D5—42no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—52no—
1266C23—52no—
1267C23—52no—
1268C23—52no—
1269C23—108no—
1270C23—101no—
1271C23—101no—
1272C23—101no—
1273C23—101no—
1274C23—101no—
1275C23—101no—
1276C23—101no—
1277C23—101no—
1278C23—101no—
1279C23—101no—
1280C23—204no—
1281C23—204no—
1282C23—402no—
1283C23—402no—
1284C23—402no—
1285C23—402no—
1286C23D5×#4112yes—
1287C23C24×D511yescharacteristic
1288Q8—402no—
1289D4—82no—
1290D4—204no—
1291D4—402no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—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—82no—
1331C2×C4—82no—
1332C2×C4—101no—
1333C2×C4—101no—
1334C2×C4—101no—
1335C2×C4—101no—
1336C2×C4—101no—
1337C2×C4—101no—
1338C2×C4—101no—
1339C2×C4—101no—
1340C2×C4—101no—
1341C2×C4—101no—
1342C2×C4—101no—
1343C2×C4—101no—
1344C2×C4—101no—
1345C2×C4—101no—
1346C2×C4—101no—
1347C2×C4—101no—
1348C2×C4—101no—
1349C2×C4—101no—
1350C2×C4—101no—
1351C2×C4—101no—
1352C2×C4—101no—
1353C2×C4—101no—
1354C2×C4—101no—
1355C2×C4—101no—
1356C2×C4—101no—
1357C2×C4—101no—
1358C2×C4—101no—
1359C2×C4—101no—
1360C2×C4—101no—
1361C2×C4—101no—
1362C2×C4—101no—
1363C2×C4—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—204no—
1375C2×C4—204no—
1376C2×C4—204no—
1377C2×C4—204no—
1378C2×C4—402no—
1379C2×C4—402no—
1380C2×C4—402no—
1381C2×C4—402no—
1382C2×C4—402no—
1383C2×C4#414912yes—
1384C5#3678011yescharacteristic, complemented, Sylow
1385C22—22no—
1386C22—22no—
1387C22—22no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—54no—
1400C22—102no—
1401C22—102no—
1402C22—102no—
1403C22—102no—
1404C22—102no—
1405C22—102no—
1406C22—102no—
1407C22—102no—
1408C22—102no—
1409C22—201no—
1410C22—201no—
1411C22—201no—
1412C22—201no—
1413C22—408no—
1414C22C2×D5×#4111yescharacteristic
1415C22C2×#414911yescharacteristic
1416C22#6628311yescharacteristic
1417C22D5×H(5,𝔽2)11yescharacteristic
1418C22#6628511yescharacteristic
1419C22#6628511yescharacteristic
1420C22D5×2−1+411yescharacteristic
1421C4—22no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C4—201no—
1435C4—201no—
1436C4—201no—
1437C4—201no—
1438C4—201no—
1439C4—201no—
1440C4—201no—
1441C4—201no—
1442C4—201no—
1443C4—201no—
1444C4—201no—
1445C4—201no—
1446C4—201no—
1447C4—201no—
1448C2—42no—
1449C2—81no—
1450C2—104no—
1451C2—202no—
1452C2D5×#53911yescharacteristic
1453C2#1061836111yescharacteristic
1454C2#1061836711yescharacteristic
1455C2#1061871711yescharacteristic
1456C2#1061879611yescharacteristic
1457C2#1061881211yescharacteristic
1458C2#1061899211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2782C2
prime radicalC2×#4083C22
hypercenter#2782D5
hypocenterC5#36780
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2782

Complements

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

NH ≅ G/Ntype
1. C5×#2782C2semidirect
2. #10610118C2semidirect
3. #10610115C2semidirect
4. #10610107C2semidirect
5. #10610091C2semidirect
6. #10610084C2semidirect
7. #10610079C2semidirect
8. #10609438C2semidirect
9. #10609417C2semidirect
10. #10609408C2semidirect
11. #10609346C2semidirect
13. #10608772C2semidirect
14. #10607689C2semidirect
15. D5×#388C2semidirect
16. #10607405C2semidirect
17. #10607403C2semidirect
20. #10606593C2semidirect
21. #10606567C2semidirect
22. #10606373C2semidirect
23. #10606341C2semidirect
24. #10606335C2semidirect
25. #10606322C2semidirect
26. #10606291C2semidirect
27. #10606278C2semidirect
28. #10606251C2semidirect
29. #10606144C2semidirect
30. #10605988C2semidirect
31. #10605979C2semidirect
43. C2×#4025C22semidirect
46. C2×#4016C22semidirect
47. C5×#400C22semidirect
48. C5×#400C22semidirect
49. C5×#400C22semidirect
51. C5×#397C22semidirect
54. C5×#388C22semidirect
59. C5×#385C22semidirect
60. C5×#385C22semidirect
61. C5×#382C22semidirect
68. #65501C22semidirect
69. #65500C22semidirect
83. #65275C22semidirect
84. #65274C22semidirect
85. #65274C22semidirect
86. #65273C22semidirect
87. #65273C22semidirect
88. #65272C22semidirect
89. #65271C22semidirect
90. #65270C22semidirect
91. #65270C22semidirect
92. #65270C22semidirect
93. #65269C22semidirect
94. #65268C22semidirect
95. #65267C22semidirect
96. #65262C22semidirect
108. #65242C22semidirect
109. #65242C22semidirect
113. #65241C22semidirect
115. #65240C22semidirect
118. #65238C22semidirect
119. #65238C22semidirect
120. #65237C22semidirect
121. #65236C22semidirect
124. #65234C22semidirect
130. #65222C22semidirect
159. C5⋊#401C22semidirect
160. #64950C22semidirect
161. #64950C22semidirect
162. #64950C22semidirect
163. #64949C22semidirect
164. #64949C22semidirect
165. #64949C22semidirect
166. #64948C22semidirect
167. #64948C22semidirect
168. #64947C22semidirect
169. #64947C22semidirect
170. #64946C22semidirect
171. #64946C22semidirect
172. #64945C22semidirect
173. #64944C22semidirect
174. #64944C22semidirect
175. #64943C22semidirect
176. #64943C22semidirect
177. #64943C22semidirect
178. #64942C22semidirect
179. #64942C22semidirect
180. #64942C22semidirect
181. #64942C22semidirect
182. #64941C22semidirect
183. #64940C22semidirect
184. #64940C22semidirect
185. #64939C22semidirect
186. #64935C22semidirect
361. #2782D5semidirect
580. #400C2×D5semidirect
581. #400C2×D5semidirect
582. #400C2×D5semidirect
606. #397C2×D5semidirect
638. #388C2×D5semidirect
682. #385C2×D5semidirect
683. #385C2×D5semidirect
687. #382C2×D5semidirect
1384. C5#36780semidirect

Maximal subgroups

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

subgroupindex
C5×#27822
#106101182
#106101152
#106101072
#106100912
#106100842
#106100792
#106094382
#106094172
#106094082
#106093462
#106088412
#106087722
#106076892
D5×#3882
#106074052
#106074032
#106066212
#106066072
#106065932
#106065672
#106063732
#106063412
#106063352
#106063222
#106062912
#106062782
#106062512
#106061442
#106059882
#106059792
#367805