Finite Group Databasebeta

← #12308249

Subgroups — #12308249

Order 1280.

1714 conjugacy classes of subgroups.

The subgroup lattice has 1452 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2482C211yesmaximal, characteristic, complemented
2#10613986C211yesmaximal, characteristic, complemented
3#10613964C211yesmaximal, characteristic, complemented
4#10613837C211yesmaximal, characteristic
5C2×#65240C211yesmaximal, characteristic, complemented
6#10609817C211yesmaximal, characteristic, complemented
7#10609814C211yesmaximal, characteristic, complemented
8#10609803C211yesmaximal, characteristic, complemented
9#10609794C211yesmaximal, characteristic, complemented
10#10609453C211yesmaximal, characteristic, complemented
11#10609376C211yesmaximal, characteristic, complemented
12#10609362C211yesmaximal, characteristic, complemented
13#10609356C211yesmaximal, characteristic, complemented
14#10607682C211yesmaximal, characteristic, complemented
15#10607662C211yesmaximal, characteristic, complemented
16#10607523C211yesmaximal, characteristic, complemented
17#10607520C211yesmaximal, characteristic, complemented
18#10607512C211yesmaximal, characteristic, complemented
19#10607509C211yesmaximal, characteristic, complemented
20#10607496C211yesmaximal, characteristic, complemented
21#10607430C211yesmaximal, characteristic, complemented
22#10606318C211yesmaximal, characteristic, complemented
23#10606317C211yesmaximal, characteristic, complemented
24#10606195C211yesmaximal, characteristic, complemented
25#10606155C211yesmaximal, characteristic, complemented
26#10605798C211yesmaximal, characteristic, complemented
27#10605787C211yesmaximal, characteristic, complemented
28#10605587C211yesmaximal, characteristic
29#10605567C211yesmaximal, characteristic, complemented
30#10605562C211yesmaximal, characteristic, complemented
31#10605557C211yesmaximal, characteristic
32C2×C5×#117C2211yescharacteristic
33C22×C5×C22⋊C4C2211yescharacteristic
34C2×#4099C2211yescharacteristic
35C22×C22⋊Dic5C2211yescharacteristic
36C22×C22⋊Dic5C2211yescharacteristic
37C2×#4075C2211yescharacteristic
38C2×#4072C2211yescharacteristic
39C22×C4⋊Dic5C2211yescharacteristic
40C22×C4×Dic5C2211yescharacteristic
41C2×#4044C2211yescharacteristic, complemented
42C2×#4035C2211yescharacteristic, complemented
43C2×#4029C2211yescharacteristic
44C2×#4027C2211yescharacteristic
45C2×#4025C2211yescharacteristic
46C2×#4024C2211yescharacteristic
47C5×#399C2211yescharacteristic
48C5×#399C2211yescharacteristic
49C5×#397C2211yescharacteristic
50C5×#397C2211yescharacteristic
51C5×#388C2211yescharacteristic
52C5×#388C2211yescharacteristic
53C5×#388C2211yescharacteristic
54C5×#388C2211yescharacteristic
55C5×#385C2211yescharacteristic
56C5×#385C2211yescharacteristic
57C5×#381C2211yescharacteristic
58C5×#379C2211yescharacteristic
59C5×#379C2211yescharacteristic
60#65536C2211yescharacteristic
61#65502C2211yescharacteristic
62#65499C2211yescharacteristic
63C2×#3963C2211yescharacteristic
64C2×#3963C2211yescharacteristic
65#65283C2211yescharacteristic, complemented
66#65282C2211yescharacteristic, complemented
67#65281C2211yescharacteristic, complemented
68#65279C2211yescharacteristic, complemented
69#65276C2211yescharacteristic, complemented
70#65275C2211yescharacteristic, complemented
71#65274C2211yescharacteristic, complemented
72#65274C2211yescharacteristic, complemented
73#65274C2211yescharacteristic, complemented
74#65274C2211yescharacteristic, complemented
75#65273C2211yescharacteristic, complemented
76#65272C2211yescharacteristic, complemented
77#65271C2211yescharacteristic, complemented
78#65270C2211yescharacteristic, complemented
79#65270C2211yescharacteristic, complemented
80#65269C2211yescharacteristic, complemented
81#65267C2211yescharacteristic, complemented
82#65267C2211yescharacteristic, complemented
83#65266C2211yescharacteristic, complemented
84#65263C2211yescharacteristic, complemented
85#65262C2211yescharacteristic, complemented
86#65261C2211yescharacteristic, complemented
87#65250C2211yescharacteristic
88#65250C2211yescharacteristic
89#65250C2211yescharacteristic
90#65250C2211yescharacteristic
91#65250C2211yescharacteristic
92#65250C2211yescharacteristic
93#65250C2211yescharacteristic
94#65248C2211yescharacteristic
95#65247C2211yescharacteristic
96#65247C2211yescharacteristic
97#65247C2211yescharacteristic
98#65246C2211yescharacteristic
99#65246C2211yescharacteristic
100#65245C2211yescharacteristic
101#65242C2211yescharacteristic
102#65242C2211yescharacteristic
103#65242C2211yescharacteristic
104#65242C2211yescharacteristic
105#65242C2211yescharacteristic
106#65241C2211yescharacteristic
107#65241C2211yescharacteristic
108#65241C2211yescharacteristic
109#65240C2211yescharacteristic
110#65240C2211yescharacteristic
111#65240C2211yescharacteristic
112#65240C2211yescharacteristic
113#65240C2211yescharacteristic
114#65240C2211yescharacteristic
115#65240C2211yescharacteristic
116#65240C2211yescharacteristic
117#65240C2211yescharacteristic
118#65240C2211yescharacteristic
119#65239C2211yescharacteristic
120#65239C2211yescharacteristic
121#65239C2211yescharacteristic
122#65239C2211yescharacteristic
123#65239C2211yescharacteristic
124#65238C2211yescharacteristic
125#65238C2211yescharacteristic
126#65238C2211yescharacteristic
127#65237C2211yescharacteristic
128#65237C2211yescharacteristic
129#65237C2211yescharacteristic
130#65237C2211yescharacteristic
131#65237C2211yescharacteristic
132#65237C2211yescharacteristic
133#65237C2211yescharacteristic
134#65236C2211yescharacteristic
135#65236C2211yescharacteristic
136#65235C2211yescharacteristic
137#65235C2211yescharacteristic
138#65234C2211yescharacteristic
139#65234C2211yescharacteristic
140#65234C2211yescharacteristic
141#65234C2211yescharacteristic
142#65233C2211yescharacteristic
143#65231C2211yescharacteristic
144#65231C2211yescharacteristic
145#65231C2211yescharacteristic
146C22⋊C4×Dic5C2211yescharacteristic
147#65229C2211yescharacteristic, complemented
148#65229C2211yescharacteristic, complemented
149#65225C2211yescharacteristic, complemented
150#65225C2211yescharacteristic, complemented
151#65224C2211yescharacteristic, complemented
152#65224C2211yescharacteristic, complemented
153#65222C2211yescharacteristic, complemented
154#65222C2211yescharacteristic, complemented
155#64962C2211yescharacteristic, complemented
156#64959C2211yescharacteristic, complemented
157#64959C2211yescharacteristic, complemented
158#64959C2211yescharacteristic, complemented
159#64958C2211yescharacteristic, complemented
160#64957C2211yescharacteristic, complemented
161#64957C2211yescharacteristic, complemented
162#64957C2211yescharacteristic, complemented
163#64950C2211yescharacteristic, complemented
164#64949C2211yescharacteristic, complemented
165#64949C2211yescharacteristic, complemented
166#64949C2211yescharacteristic, complemented
167#64948C2211yescharacteristic, complemented
168#64946C2211yescharacteristic, complemented
169#64945C2211yescharacteristic, complemented
170#64944C2211yescharacteristic, complemented
171#64944C2211yescharacteristic, complemented
172#64944C2211yescharacteristic, complemented
173#64944C2211yescharacteristic, complemented
174#64943C2211yescharacteristic, complemented
175#64943C2211yescharacteristic, complemented
176#64943C2211yescharacteristic, complemented
177#64942C2211yescharacteristic, complemented
178#64942C2211yescharacteristic, complemented
179#64941C2211yescharacteristic, complemented
180#64940C2211yescharacteristic, complemented
181#64939C2211yescharacteristic, complemented
182#64936C2211yescharacteristic, complemented
183#64936C2211yescharacteristic, complemented
184#64936C2211yescharacteristic, complemented
185#64936C2211yescharacteristic, complemented
186#64935C2211yescharacteristic, complemented
187#36796—51nomaximal, Sylow
188C25×C5C2311yescharacteristic
189C23×C4×C5C2311yescharacteristic
190C23×C4×C5C2311yescharacteristic
191C22×C22⋊D5C2311yescharacteristic
192C22×C22⋊D5C2311yescharacteristic
193C22×C22⋊D5C2311yescharacteristic
194C23×Dic5C2311yescharacteristic
195C23×Dic5C2311yescharacteristic
196C23×Dic5C2311yescharacteristic
197C23×Dic5C2311yescharacteristic
198C22×C4×D5C2311yescharacteristic
199C22×Dic10C2311yescharacteristic
200C5×#117—24no—
201C2×C5×C4⋊C4C2311yescharacteristic
202C2×C5×C4⋊C4C2311yescharacteristic
203C2×C5×C4⋊C4C2311yescharacteristic
204C2×C5×C4⋊C4C2311yescharacteristic
205C2×C5×C4⋊C4C2311yescharacteristic
206C2×C5×C4⋊C4C2311yescharacteristic
207C2×C5×C22⋊C4—24no—
208C2×C5×C22⋊C4C2311yescharacteristic
209C2×C5×C22⋊C4C2311yescharacteristic
210C2×C5×C22⋊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×C5×C22⋊C4C2311yescharacteristic
222C2×C5×C22⋊C4C2311yescharacteristic
223C2×C5×C22⋊C4C2311yescharacteristic
224C2×C42×C5C2311yescharacteristic
225C2×C42×C5C2311yescharacteristic
226#4099—42no—
227C2×C22⋊Dic5—42no—
228C2×C22⋊Dic5—42no—
229C2×C22⋊Dic5C2311yescharacteristic
230C2×C22⋊Dic5C2311yescharacteristic
231C2×C22⋊Dic5C2311yescharacteristic
232C2×C22⋊Dic5C2311yescharacteristic
233C2×C22⋊Dic5C2311yescharacteristic
234C2×C22⋊Dic5C2311yescharacteristic
235C2×C22⋊Dic5C2311yescharacteristic
236C2×C22⋊Dic5C2311yescharacteristic
237C2×C22⋊Dic5C2311yescharacteristic
238C2×C22⋊Dic5C2311yescharacteristic
239C2×C22⋊Dic5C2311yescharacteristic
240C2×C22⋊Dic5C2311yescharacteristic
241C2×C22⋊Dic5C2311yescharacteristic
242C2×C22⋊Dic5C2311yescharacteristic
243C2×C22⋊Dic5C2311yescharacteristic
244C2×C22⋊Dic5C2311yescharacteristic
245C2×C22⋊Dic5C2311yescharacteristic
246#4075—24no—
247C2×#685C2311yescharacteristic
248C2×#685C2311yescharacteristic
249C2×#685C2311yescharacteristic
250C2×#685C2311yescharacteristic
251C2×#685C2311yescharacteristic
252C2×#685C2311yescharacteristic
253C2×#685C2311yescharacteristic
254C2×#685C2311yescharacteristic
255C2×#685C2311yescharacteristic
256C2×#685C2311yescharacteristic
257C2×#685C2311yescharacteristic
258#4072—42no—
259C2×C4⋊Dic5—42no—
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×C4⋊Dic5C2311yescharacteristic
269C2×C4⋊Dic5C2311yescharacteristic
270C2×C4⋊Dic5C2311yescharacteristic
271C2×C4⋊Dic5C2311yescharacteristic
272C2×C4⋊Dic5C2311yescharacteristic
273C2×C4⋊Dic5C2311yescharacteristic
274C2×C4⋊Dic5C2311yescharacteristic
275C2×C4⋊Dic5C2311yescharacteristic
276C2×C4⋊Dic5C2311yescharacteristic
277C2×#683C2311yescharacteristic
278C2×#683C2311yescharacteristic
279C2×#683C2311yescharacteristic
280C2×#683C2311yescharacteristic
281C2×#683C2311yescharacteristic
282C2×#683C2311yescharacteristic
283C2×#683C2311yescharacteristic
284C2×#683C2311yescharacteristic
285C2×#683C2311yescharacteristic
286C2×#683C2311yescharacteristic
287C2×#683C2311yescharacteristic
288C2×#683C2311yescharacteristic
289C2×#683C2311yescharacteristic
290C2×#683C2311yescharacteristic
291C2×#683C2311yescharacteristic
292C2×#683C2311yescharacteristic
293C2×#683C2311yescharacteristic
294C2×C4×Dic5—42no—
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
304#4044—42no—
305#4035—42no—
306#4029—42no—
307#4027—42no—
308#4025—42no—
309#4024—42no—
310C5×#95C2311yescharacteristic
311C5×#95C2311yescharacteristic
312C5×#95C2311yescharacteristic
313C5×#95C2311yescharacteristic
314C5×#95C2311yescharacteristic
315C5×#95C2311yescharacteristic
316C5×#95C2311yescharacteristic
317C5×#95C2311yescharacteristic
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#2808—51no—
361#2798—51no—
362#2796—51no—
363#2795—51no—
364#2793—51no—
365#2785—51no—
366#2783—51no—
367#2783—51no—
368#2781—51no—
369#2777—51no—
370#2775—51no—
371#2773—51no—
372#2727—51no—
373#2721—51no—
374#2718—51no—
375#2694—51no—
376#2626—51no—
377#2622—51no—
378#2505—51no—
379#2498—51no—
380#2482D511yescharacteristic, complemented
381#2480—51no—
382#2450—51no—
383#2438—51no—
384#2418—51no—
385#2411—51no—
386#2322—51no—
387#2317—51no—
388C2×#388—51no—
389C24×C5—22no—
390C24×C5—22no—
391C24×C5—22no—
392C24×C5—41no—
393C24×C5—41no—
394C24×C5—41no—
395C24×C5—41no—
396C24×C5C2411yescharacteristic
397C24×C5C2411yescharacteristic
398C24×C5C2411yescharacteristic
399C23×D5C2411yescharacteristic
400C22×C4×C5—22no—
401C22×C4×C5—22no—
402C22×C4×C5—22no—
403C22×C4×C5—41no—
404C22×C4×C5—41no—
405C22×C4×C5#4114yes—
406C22×C4×C5C2411yescharacteristic
407C22×C4×C5C2411yescharacteristic
408C22×C4×C5C2411yescharacteristic
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
418C2×C22⋊D5—22no—
419C2×C22⋊D5—22no—
420C2×C22⋊D5—22no—
421C2×C22⋊D5—41no—
422C2×C22⋊D5—41no—
423C2×C22⋊D5—41no—
424C2×C22⋊D5—41no—
425C2×C22⋊D5—41no—
426C2×C22⋊D5—41no—
427C22×Dic5—22no—
428C22×Dic5—22no—
429C22×Dic5—22no—
430C22×Dic5—22no—
431C22×Dic5—22no—
432C22×Dic5—41no—
433C22×Dic5—41no—
434C22×Dic5—41no—
435C22×Dic5—41no—
436C22×Dic5—41no—
437C22×Dic5—41no—
438C22×Dic5—41no—
439C22×Dic5C2411yescharacteristic
440C22×Dic5C2411yescharacteristic
441C22×Dic5C2411yescharacteristic
442C22×Dic5C2411yescharacteristic
443C22×Dic5C2411yescharacteristic
444C22×Dic5C2411yescharacteristic
445C22×Dic5C2411yescharacteristic
446C22×Dic5C2411yescharacteristic
447C22×Dic5C2411yescharacteristic
448C22×Dic5C2411yescharacteristic
449C22×Dic5C2411yescharacteristic
450C22×Dic5C2411yescharacteristic
451C22×Dic5C2411yescharacteristic
452C22×Dic5C2411yescharacteristic
453C22×Dic5C2411yescharacteristic
454C2×C4×D5—41no—
455C2×C4×D5—41no—
456C2×C4×D5—41no—
457C2×Dic10—41no—
458C2×Dic10—41no—
459C2×Dic10—41no—
460C5×C4⋊C4—22no—
461C5×C4⋊C4—22no—
462C5×C4⋊C4—41no—
463C5×C4⋊C4—41no—
464C5×C4⋊C4—41no—
465C5×C4⋊C4—41no—
466C5×C22⋊C4—22no—
467C5×C22⋊C4—22no—
468C5×C22⋊C4—22no—
469C5×C22⋊C4—22no—
470C5×C22⋊C4—22no—
471C5×C22⋊C4—22no—
472C5×C22⋊C4—22no—
473C5×C22⋊C4—22no—
474C5×C22⋊C4—41no—
475C5×C22⋊C4—41no—
476C5×C22⋊C4—41no—
477C5×C22⋊C4—41no—
478C5×C22⋊C4—41no—
479C5×C22⋊C4—41no—
480C5×C22⋊C4—41no—
481C5×C22⋊C4—41no—
482C42×C5—22no—
483C42×C5—22no—
484C22⋊Dic5—22no—
485C22⋊Dic5—22no—
486C22⋊Dic5—22no—
487C22⋊Dic5—22no—
488C22⋊Dic5—22no—
489C22⋊Dic5—41no—
490C22⋊Dic5—41no—
491C22⋊Dic5—41no—
492C22⋊Dic5—41no—
493C22⋊Dic5—41no—
494C22⋊Dic5—41no—
495C22⋊Dic5—41no—
496C22⋊Dic5—41no—
497C22⋊Dic5—41no—
498C22⋊Dic5—41no—
499C22⋊Dic5—41no—
500C22⋊Dic5—41no—
501#685—22no—
502#685—22no—
503#685—22no—
504#685—41no—
505#685—41no—
506#685—41no—
507#685—41no—
508#685—41no—
509#685—41no—
510#685—41no—
511#685—41no—
512C4⋊Dic5—41no—
513C4⋊Dic5—41no—
514C4⋊Dic5—41no—
515C4⋊Dic5—41no—
516C4⋊Dic5—41no—
517C4⋊Dic5—41no—
518C4⋊Dic5—41no—
519C4⋊Dic5—41no—
520C4⋊Dic5—41no—
521C4⋊Dic5—41no—
522C4⋊Dic5—41no—
523C4⋊Dic5—41no—
524C4⋊Dic5—41no—
525C4⋊Dic5—41no—
526C4⋊Dic5—41no—
527C4⋊Dic5—41no—
528C4⋊Dic5—41no—
529#683—22no—
530#683—22no—
531#683—22no—
532#683—22no—
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—
546C4×Dic5—22no—
547C4×Dic5—22no—
548C4×Dic5—41no—
549C4×Dic5—41no—
550C4×Dic5—41no—
551C4×Dic5—41no—
552C4×Dic5—41no—
553C4×Dic5—41no—
554C4×Dic5—41no—
555C2×#126—51no—
556C2×#126—51no—
557C2×#125—51no—
558C2×#123—51no—
559C2×#123—51no—
560C2×C22⋊Q8—51no—
561C2×#120—51no—
562C2×C4×D4—51no—
563C2×#117—51no—
564C2×#117C2×D511yescharacteristic
565C22×C4⋊C4—51no—
566C22×C22⋊C4—51no—
567C22×C22⋊C4—51no—
568C22×C22⋊C4C2×D511yescharacteristic
569C22×C42—51no—
570#400—51no—
571#400—51no—
572#400—51no—
573#400—51no—
574#400—51no—
575#400—51no—
576#399—51no—
577#399—51no—
578#399—51no—
579#399—51no—
580#399C2×D511yescharacteristic
581#399C2×D511yescharacteristic
582#398—51no—
583#398—51no—
584#398—51no—
585#398—51no—
586#398—51no—
587#397—51no—
588#397—51no—
589#397—51no—
590#397—51no—
591#397—51no—
592#397—51no—
593#397—51no—
594#397—51no—
595#397—51no—
596#397C2×D511yescharacteristic
597#397C2×D511yescharacteristic
598#396—51no—
599#396—51no—
600#396—51no—
601#396—51no—
602#396—51no—
603#396—51no—
604#396—51no—
605#396—51no—
606#395—51no—
607#394—51no—
608#394—51no—
609#394—51no—
610#394—51no—
611#394—51no—
612#394—51no—
613#394—51no—
614#394—51no—
615#393—51no—
616#393—51no—
617#393—51no—
618#391—51no—
619#391—51no—
620#390—51no—
621#390—51no—
622#389—51no—
623#389—51no—
624#389—51no—
625#389—51no—
626#389—51no—
627#389—51no—
628#389—51no—
629#389—51no—
630#389—51no—
631#389—51no—
632#388—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#388—51no—
649#388—51no—
650#388—51no—
651#388—51no—
652#388—51no—
653#388—51no—
654#388C2×D511yescharacteristic
655#388C2×D511yescharacteristic
656#388C2×D511yescharacteristic
657#388C2×D511yescharacteristic
658#387—51no—
659#387—51no—
660#387—51no—
661#387—51no—
662#387—51no—
663#387—51no—
664#387—51no—
665#387—51no—
666#387—51no—
667#387—51no—
668#387—51no—
669#387—51no—
670#387—51no—
671#387—51no—
672#387—51no—
673#387—51no—
674#386—51no—
675#386—51no—
676#386—51no—
677#386—51no—
678#386—51no—
679#385—51no—
680#385—51no—
681#385—51no—
682#385—51no—
683#385—51no—
684#385—51no—
685#385—51no—
686#385—51no—
687#385—51no—
688#385—51no—
689#385—51no—
690#385C2×D511yescharacteristic
691#385C2×D511yescharacteristic
692#384—51no—
693#384—51no—
694#383—51no—
695#382—51no—
696#382—51no—
697#382—51no—
698#382—51no—
699#381C2×D511yescharacteristic
700#380—51no—
701#380—51no—
702#380—51no—
703#380—51no—
704#379—51no—
705#379C2×D511yescharacteristic
706#379C2×D511yescharacteristic
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×C5—21no—
724C23×C5—21no—
725C23×C5—21no—
726C23×C5—21no—
727C23×C5—21no—
728C23×C5—44no—
729C23×C5—44no—
730C23×C5—44no—
731C23×C5—82no—
732C23×C5—82no—
733C23×C5—82no—
734C23×C5—82no—
735C23×C5C2×#4112yes—
736C23×C5H(5,𝔽2)12yes—
737C23×C52−1+412yes—
738C23×C5C2511yescharacteristic
739C22×D5—21no—
740C22×D5—21no—
741C22×D5—21no—
742C22×D5—21no—
743C22×D5—21no—
744C22×D5—21no—
745C22×D5—21no—
746C2×C4×C5—28no—
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—44no—
782C2×C4×C5C2×#4112yes—
783C2×C4×C5C2×#4112yes—
784C22⋊D5—44no—
785C22⋊D5—82no—
786C22⋊D5—82no—
787C2×Dic5—21no—
788C2×Dic5—21no—
789C2×Dic5—21no—
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—44no—
832C2×Dic5—44no—
833C2×Dic5—82no—
834C2×Dic5—82no—
835C2×Dic5H(5,𝔽2)12yes—
836C4×D5—82no—
837Dic10—82no—
838C25C22×D511yescharacteristic
839C22×Q8—51no—
840C22×D4—51no—
841C22×D4—51no—
842C22×D4—51no—
843C23×C4—51no—
844C23×C4—51no—
845C23×C4—51no—
846C23×C4—51no—
847C23×C4—51no—
848C23×C4C22×D511yescharacteristic
849C23×C4C22×D511yescharacteristic
850#126—202no—
851#126—202no—
852#125—202no—
853#123—104no—
854#123—202no—
855C22⋊Q8—202no—
856#120—202no—
857C4×D4—202no—
858#117—24no—
859#117—202no—
860C2×C4⋊C4—51no—
861C2×C4⋊C4—51no—
862C2×C4⋊C4—51no—
863C2×C4⋊C4—51no—
864C2×C4⋊C4—51no—
865C2×C4⋊C4—51no—
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—202no—
895C2×C4⋊C4C22×D511yescharacteristic
896C2×C4⋊C4C22×D511yescharacteristic
897C2×C4⋊C4C22×D511yescharacteristic
898C2×C4⋊C4C22×D511yescharacteristic
899C2×C4⋊C4C22×D511yescharacteristic
900C2×C4⋊C4C22×D511yescharacteristic
901C2×C22⋊C4—24no—
902C2×C22⋊C4—51no—
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—202no—
931C2×C22⋊C4—202no—
932C2×C22⋊C4C22×D511yescharacteristic
933C2×C22⋊C4C22×D511yescharacteristic
934C2×C22⋊C4C22×D511yescharacteristic
935C2×C22⋊C4C22×D511yescharacteristic
936C2×C22⋊C4C22×D511yescharacteristic
937C2×C22⋊C4C22×D511yescharacteristic
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—51no—
955C2×C42—51no—
956C2×C42—51no—
957C2×C42—202no—
958C2×C42C22×D511yescharacteristic
959C2×C42C22×D511yescharacteristic
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#95—51no—
999#95—51no—
1000#95C22×D511yescharacteristic
1001#95C22×D511yescharacteristic
1002#95C22×D511yescharacteristic
1003#95C22×D511yescharacteristic
1004#95C22×D511yescharacteristic
1005#95C22×D511yescharacteristic
1006#95C22×D511yescharacteristic
1007#95C22×D511yescharacteristic
1008C22×C5—22no—
1009C22×C5—22no—
1010C22×C5—22no—
1011C22×C5—22no—
1012C22×C5—22no—
1013C22×C5—22no—
1014C22×C5—41no—
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×C5—41no—
1027C22×C5—41no—
1028C22×C5—88no—
1029C22×C5#53914yes—
1030C22×C5C22×#4111yescharacteristic
1031C22×C5C2×H(5,𝔽2)11yescharacteristic
1032C22×C5C2×H(5,𝔽2)11yescharacteristic
1033C22×C5C2×2−1+411yescharacteristic
1034C22×C5#58511yescharacteristic
1035C22×C5#58511yescharacteristic
1036C22×C5#58511yescharacteristic
1037C2×D5—41no—
1038C2×D5—41no—
1039C2×D5—41no—
1040C2×D5—41no—
1041C2×D5—41no—
1042C2×D5—41no—
1043C2×D5—41no—
1044C4×C5—22no—
1045C4×C5—22no—
1046C4×C5—41no—
1047C4×C5—41no—
1048C4×C5—41no—
1049C4×C5—41no—
1050C4×C5—41no—
1051C4×C5—41no—
1052C4×C5—41no—
1053C4×C5—41no—
1054C4×C5—41no—
1055C4×C5—41no—
1056Dic5—22no—
1057Dic5—41no—
1058Dic5—41no—
1059Dic5—41no—
1060Dic5—41no—
1061Dic5—41no—
1062Dic5—41no—
1063Dic5—41no—
1064Dic5—41no—
1065Dic5—41no—
1066Dic5—41no—
1067Dic5—41no—
1068Dic5—41no—
1069Dic5—41no—
1070Dic5—41no—
1071C24—22no—
1072C24—22no—
1073C24—22no—
1074C24—41no—
1075C24—41no—
1076C24—41no—
1077C24—41no—
1078C24—51no—
1079C24C23×D511yescharacteristic
1080C24C23×D511yescharacteristic
1081C24C23×D511yescharacteristic
1082C2×Q8—201no—
1083C2×Q8—201no—
1084C2×Q8—201no—
1085C2×D4—102no—
1086C2×D4—102no—
1087C2×D4—102no—
1088C2×D4—201no—
1089C2×D4—201no—
1090C2×D4—201no—
1091C2×D4—201no—
1092C2×D4—201no—
1093C2×D4—201no—
1094C22×C4—22no—
1095C22×C4—22no—
1096C22×C4—22no—
1097C22×C4—41no—
1098C22×C4—41no—
1099C22×C4—51no—
1100C22×C4—51no—
1101C22×C4—51no—
1102C22×C4—51no—
1103C22×C4—51no—
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—102no—
1115C22×C4—102no—
1116C22×C4—102no—
1117C22×C4—102no—
1118C22×C4—102no—
1119C22×C4—201no—
1120C22×C4—201no—
1121C22×C4—201no—
1122C22×C4—201no—
1123C22×C4—201no—
1124C22×C4—201no—
1125C22×C4—201no—
1126C22×C4—201no—
1127C22×C4—201no—
1128C22×C4—201no—
1129C22×C4#71114yes—
1130C22×C4C23×D511yescharacteristic
1131C22×C4C23×D511yescharacteristic
1132C22×C4C23×D511yescharacteristic
1133C22×C4C23×D511yescharacteristic
1134C22×C4C23×D511yescharacteristic
1135C22×C4C23×D511yescharacteristic
1136C22×C4C23×D511yescharacteristic
1137C22×C4C23×D511yescharacteristic
1138C22×C4C23×D511yescharacteristic
1139C22×C4C23×D511yescharacteristic
1140C22×C4C23×D511yescharacteristic
1141C22×C4C23×D511yescharacteristic
1142C4⋊C4—22no—
1143C4⋊C4—22no—
1144C4⋊C4—41no—
1145C4⋊C4—41no—
1146C4⋊C4—41no—
1147C4⋊C4—41no—
1148C4⋊C4—102no—
1149C4⋊C4—102no—
1150C4⋊C4—102no—
1151C4⋊C4—102no—
1152C4⋊C4—102no—
1153C4⋊C4—201no—
1154C4⋊C4—201no—
1155C4⋊C4—201no—
1156C4⋊C4—201no—
1157C4⋊C4—201no—
1158C4⋊C4—201no—
1159C4⋊C4—201no—
1160C4⋊C4—201no—
1161C4⋊C4—201no—
1162C4⋊C4—201no—
1163C4⋊C4—201no—
1164C4⋊C4—201no—
1165C4⋊C4—201no—
1166C4⋊C4—201no—
1167C4⋊C4—201no—
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—
1182C22⋊C4—22no—
1183C22⋊C4—22no—
1184C22⋊C4—22no—
1185C22⋊C4—22no—
1186C22⋊C4—22no—
1187C22⋊C4—22no—
1188C22⋊C4—22no—
1189C22⋊C4—22no—
1190C22⋊C4—41no—
1191C22⋊C4—41no—
1192C22⋊C4—41no—
1193C22⋊C4—41no—
1194C22⋊C4—41no—
1195C22⋊C4—41no—
1196C22⋊C4—41no—
1197C22⋊C4—41no—
1198C22⋊C4—102no—
1199C22⋊C4—102no—
1200C22⋊C4—102no—
1201C22⋊C4—102no—
1202C22⋊C4—102no—
1203C22⋊C4—102no—
1204C22⋊C4—102no—
1205C22⋊C4—102no—
1206C22⋊C4—201no—
1207C22⋊C4—201no—
1208C22⋊C4—201no—
1209C22⋊C4—201no—
1210C22⋊C4—201no—
1211C22⋊C4—201no—
1212C22⋊C4—201no—
1213C22⋊C4—201no—
1214C22⋊C4—201no—
1215C22⋊C4—201no—
1216C22⋊C4—201no—
1217C22⋊C4—201no—
1218C22⋊C4—201no—
1219C22⋊C4—201no—
1220C22⋊C4—201no—
1221C22⋊C4—201no—
1222C22⋊C4—201no—
1223C22⋊C4—201no—
1224C22⋊C4—201no—
1225C22⋊C4—201no—
1226C42—22no—
1227C42—22no—
1228C42—102no—
1229C42—102no—
1230C42—201no—
1231C42—201no—
1232C42—201no—
1233C42—201no—
1234C42—201no—
1235C42—201no—
1236C42—201no—
1237C2×C5—24no—
1238C2×C5—81no—
1239C2×C5—81no—
1240C2×C5C2×#53911yescharacteristic
1241C2×C5#349311yescharacteristic
1242C2×C5#350611yescharacteristic
1243C2×C5#353511yescharacteristic
1244C2×C5#354211yescharacteristic
1245C2×C5#354511yescharacteristic
1246C2×C5#356411yescharacteristic
1247D5—81no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
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—21no—
1266C23—44no—
1267C23—44no—
1268C23—44no—
1269C23—82no—
1270C23—82no—
1271C23—82no—
1272C23—82no—
1273C23—101no—
1274C23—101no—
1275C23—101no—
1276C23—101no—
1277C23—101no—
1278C23—101no—
1279C23—101no—
1280C23C2×#71112yes—
1281C23#414912yes—
1282C23#415012yes—
1283C23C24×D511yescharacteristic
1284Q8—402no—
1285D4—204no—
1286D4—402no—
1287D4—402no—
1288C2×C4—28no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
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—44no—
1324C2×C4—52no—
1325C2×C4—101no—
1326C2×C4—101no—
1327C2×C4—101no—
1328C2×C4—101no—
1329C2×C4—101no—
1330C2×C4—101no—
1331C2×C4—101no—
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—204no—
1370C2×C4—204no—
1371C2×C4—402no—
1372C2×C4—402no—
1373C2×C4—402no—
1374C2×C4C2×#71112yes—
1375C2×C4C2×#71112yes—
1376C5#3679611yescharacteristic, complemented, Sylow
1377C22—22no—
1378C22—22no—
1379C22—22no—
1380C22—22no—
1381C22—22no—
1382C22—22no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—88no—
1398C22—201no—
1399C22—201no—
1400C22—201no—
1401C22—201no—
1402C22—201no—
1403C22—201no—
1404C22—201no—
1405C22#6599914yes—
1406C22C22×#71111yescharacteristic
1407C22C2×#414911yescharacteristic
1408C22C2×#415011yescharacteristic
1409C22#6628311yescharacteristic
1410C22#6628311yescharacteristic
1411C22D5×H(5,𝔽2)11yescharacteristic
1412C22#6628511yescharacteristic
1413C4—22no—
1414C4—22no—
1415C4—41no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—102no—
1426C4—201no—
1427C4—201no—
1428C4—201no—
1429C4—201no—
1430C4—201no—
1431C4—201no—
1432C4—201no—
1433C4—201no—
1434C4—201no—
1435C4—201no—
1436C4—201no—
1437C4—201no—
1438C4—201no—
1439C4—201no—
1440C2—24no—
1441C2—81no—
1442C2—81no—
1443C2—401no—
1444C2C2×#6599911yescharacteristic
1445C2#1061792711yescharacteristic
1446C2#1061821911yescharacteristic
1447C2#1061870611yescharacteristic
1448C2#1061870711yescharacteristic
1449C2#1061871211yescharacteristic
1450C2#1061872211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2482C2
prime radicalC2×#4099C22
hypercenter#2482D5
hypocenterC5#36796
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2482

Complements

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

NH ≅ G/Ntype
1. C5×#2482C2semidirect
2. #10613986C2semidirect
3. #10613964C2semidirect
5. C2×#65240C2semidirect
6. #10609817C2semidirect
7. #10609814C2semidirect
8. #10609803C2semidirect
9. #10609794C2semidirect
10. #10609453C2semidirect
11. #10609376C2semidirect
12. #10609362C2semidirect
13. #10609356C2semidirect
14. #10607682C2semidirect
15. #10607662C2semidirect
16. #10607523C2semidirect
17. #10607520C2semidirect
18. #10607512C2semidirect
19. #10607509C2semidirect
20. #10607496C2semidirect
21. #10607430C2semidirect
22. #10606318C2semidirect
23. #10606317C2semidirect
24. #10606195C2semidirect
25. #10606155C2semidirect
26. #10605798C2semidirect
27. #10605787C2semidirect
29. #10605567C2semidirect
30. #10605562C2semidirect
41. C2×#4044C22semidirect
42. C2×#4035C22semidirect
65. #65283C22semidirect
66. #65282C22semidirect
67. #65281C22semidirect
68. #65279C22semidirect
69. #65276C22semidirect
70. #65275C22semidirect
71. #65274C22semidirect
72. #65274C22semidirect
73. #65274C22semidirect
74. #65274C22semidirect
75. #65273C22semidirect
76. #65272C22semidirect
77. #65271C22semidirect
78. #65270C22semidirect
79. #65270C22semidirect
80. #65269C22semidirect
81. #65267C22semidirect
82. #65267C22semidirect
83. #65266C22semidirect
84. #65263C22semidirect
85. #65262C22semidirect
86. #65261C22semidirect
147. #65229C22semidirect
148. #65229C22semidirect
149. #65225C22semidirect
150. #65225C22semidirect
151. #65224C22semidirect
152. #65224C22semidirect
153. #65222C22semidirect
154. #65222C22semidirect
155. #64962C22semidirect
156. #64959C22semidirect
157. #64959C22semidirect
158. #64959C22semidirect
159. #64958C22semidirect
160. #64957C22semidirect
161. #64957C22semidirect
162. #64957C22semidirect
163. #64950C22semidirect
164. #64949C22semidirect
165. #64949C22semidirect
166. #64949C22semidirect
167. #64948C22semidirect
168. #64946C22semidirect
169. #64945C22semidirect
170. #64944C22semidirect
171. #64944C22semidirect
172. #64944C22semidirect
173. #64944C22semidirect
174. #64943C22semidirect
175. #64943C22semidirect
176. #64943C22semidirect
177. #64942C22semidirect
178. #64942C22semidirect
179. #64941C22semidirect
180. #64940C22semidirect
181. #64939C22semidirect
182. #64936C22semidirect
183. #64936C22semidirect
184. #64936C22semidirect
185. #64936C22semidirect
186. #64935C22semidirect
380. #2482D5semidirect
1376. C5#36796semidirect

Maximal subgroups

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

subgroupindex
C5×#24822
#106139862
#106139642
#106138372
C2×#652402
#106098172
#106098142
#106098032
#106097942
#106094532
#106093762
#106093622
#106093562
#106076822
#106076622
#106075232
#106075202
#106075122
#106075092
#106074962
#106074302
#106063182
#106063172
#106061952
#106061552
#106057982
#106057872
#106055872
#106055672
#106055622
#106055572
#367965