Finite Group Databasebeta

← #12308144

Subgroups — #12308144

Order 1280.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1490 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2796C211yesmaximal, characteristic, complemented
2#10610115C211yesmaximal, characteristic, complemented
3#10610094C211yesmaximal, characteristic, complemented
4#10609849C211yesmaximal, characteristic, complemented
5#10609835C211yesmaximal, characteristic, complemented
6#10609419C211yesmaximal, characteristic, complemented
7#10609410C211yesmaximal, characteristic, complemented
8#10609407C211yesmaximal, characteristic, complemented
9#10609367C211yesmaximal, characteristic, complemented
10#10609326C211yesmaximal, characteristic, complemented
11#10609299C211yesmaximal, characteristic, complemented
12#10608843C211yesmaximal, characteristic
13#10608799C211yesmaximal, characteristic, complemented
14#10608168C211yesmaximal, characteristic
15#10608132C211yesmaximal, characteristic, complemented
16#10607994C211yesmaximal, characteristic, complemented
17#10607699C211yesmaximal, characteristic, complemented
18#10607559C211yesmaximal, characteristic, complemented
19#10607428C211yesmaximal, characteristic, complemented
20#10607405C211yesmaximal, characteristic, complemented
21#10607272C211yesmaximal, characteristic, complemented
22#10607163C211yesmaximal, characteristic, complemented
23#10607161C211yesmaximal, characteristic, complemented
24#10607049C211yesmaximal, characteristic, complemented
25#10606739C211yesmaximal, characteristic, complemented
26#10606667C211yesmaximal, characteristic
27#10606591C211yesmaximal, characteristic, complemented
28#10606386C211yesmaximal, characteristic, complemented
29D5×#385C211yesmaximal, characteristic, complemented
30#10606313C211yesmaximal, characteristic, complemented
31#10606308C211yesmaximal, characteristic, complemented
32C23×C4×D5C2211yescharacteristic
33C2×#4083C2211yescharacteristic
34C2×#4044C2211yescharacteristic
35C2×#4042C2211yescharacteristic
36C2×#4042C2211yescharacteristic
37C2×#4038C2211yescharacteristic
38C2×D5×C4⋊C4C2211yescharacteristic
39C2×D5×C4⋊C4C2211yescharacteristic
40C2×#4032C2211yescharacteristic
41C2×#4029C2211yescharacteristic
42C2×#4029C2211yescharacteristic
43C2×#4029C2211yescharacteristic
44C2×#4027C2211yescharacteristic
45C2×D5×C22⋊C4C2211yescharacteristic
46C2×D5×C22⋊C4C2211yescharacteristic
47C2×#4024C2211yescharacteristic
48C2×#4024C2211yescharacteristic, complemented
49C2×#4018C2211yescharacteristic
50C2×#4016C2211yescharacteristic, complemented
51C5×#400C2211yescharacteristic, complemented
52C5×#399C2211yescharacteristic, complemented
53C5×#397C2211yescharacteristic
54C5×#397C2211yescharacteristic, complemented
55C5×#397C2211yescharacteristic, complemented
56C5×#394C2211yescharacteristic
57C5×#390C2211yescharacteristic
58C5×#389C2211yescharacteristic, complemented
59C5×#388C2211yescharacteristic
60C5×#388C2211yescharacteristic, complemented
61C5×#387C2211yescharacteristic, complemented
62C5×#387C2211yescharacteristic, complemented
63C5×#386C2211yescharacteristic
64C5×#385C2211yescharacteristic
65C5×#385C2211yescharacteristic
66#65511C2211yescharacteristic
67#65509C2211yescharacteristic
68#65509C2211yescharacteristic
69#65499C2211yescharacteristic
70#65499C2211yescharacteristic
71#65499C2211yescharacteristic
72#65283C2211yescharacteristic
73#65282C2211yescharacteristic
74#65279C2211yescharacteristic
75#65278C2211yescharacteristic
76#65278C2211yescharacteristic
77#65278C2211yescharacteristic
78#65278C2211yescharacteristic
79#65278C2211yescharacteristic
80#65278C2211yescharacteristic
81#65276C2211yescharacteristic
82#65275C2211yescharacteristic, complemented
83#65275C2211yescharacteristic, complemented
84#65274C2211yescharacteristic, complemented
85#65273C2211yescharacteristic, complemented
86#65273C2211yescharacteristic, complemented
87#65273C2211yescharacteristic, complemented
88#65269C2211yescharacteristic, complemented
89#65269C2211yescharacteristic, complemented
90#65269C2211yescharacteristic, complemented
91#65268C2211yescharacteristic, complemented
92#65265C2211yescharacteristic, complemented
93#65265C2211yescharacteristic, complemented
94#65262C2211yescharacteristic, complemented
95#65262C2211yescharacteristic, complemented
96#65261C2211yescharacteristic, complemented
97#65261C2211yescharacteristic, complemented
98#65248C2211yescharacteristic
99#65248C2211yescharacteristic
100#65246C2211yescharacteristic
101#65245C2211yescharacteristic
102#65245C2211yescharacteristic
103#65245C2211yescharacteristic
104#65245C2211yescharacteristic
105#65244C2211yescharacteristic
106#65244C2211yescharacteristic
107#65244C2211yescharacteristic
108#65242C2211yescharacteristic, complemented
109#65241C2211yescharacteristic
110#65241C2211yescharacteristic, complemented
111#65240C2211yescharacteristic
112#65240C2211yescharacteristic
113#65240C2211yescharacteristic
114#65239C2211yescharacteristic
115#65239C2211yescharacteristic
116#65239C2211yescharacteristic, complemented
117#65238C2211yescharacteristic
118#65238C2211yescharacteristic
119#65238C2211yescharacteristic, complemented
120#65237C2211yescharacteristic
121#65237C2211yescharacteristic
122#65237C2211yescharacteristic, complemented
123#65237C2211yescharacteristic, complemented
124#65235C2211yescharacteristic
125#65235C2211yescharacteristic, complemented
126#65235C2211yescharacteristic, complemented
127#65234C2211yescharacteristic
128#65234C2211yescharacteristic, complemented
129#65234C2211yescharacteristic, complemented
130#65234C2211yescharacteristic, complemented
131#65233C2211yescharacteristic
132#65231C2211yescharacteristic
133#65229C2211yescharacteristic
134#65229C2211yescharacteristic
135C4×#685C2211yescharacteristic
136#65218C2211yescharacteristic, complemented
137#65217C2211yescharacteristic, complemented
138#65217C2211yescharacteristic, complemented
139#64966C2211yescharacteristic
140#64964C2211yescharacteristic
141#64964C2211yescharacteristic
142#64964C2211yescharacteristic
143#64958C2211yescharacteristic
144#64958C2211yescharacteristic
145#64957C2211yescharacteristic
146#64957C2211yescharacteristic
147#64957C2211yescharacteristic
148#64957C2211yescharacteristic
149#64957C2211yescharacteristic
150#64957C2211yescharacteristic
151#64957C2211yescharacteristic
152#64957C2211yescharacteristic
153#64957C2211yescharacteristic
154#64957C2211yescharacteristic
155#64956C2211yescharacteristic
156#64956C2211yescharacteristic
157#64956C2211yescharacteristic
158#64953C2211yescharacteristic
159#64953C2211yescharacteristic
160#64953C2211yescharacteristic
161D5×#95C2211yescharacteristic
162D5×#95C2211yescharacteristic
163C5⋊#401C2211yescharacteristic, complemented
164#64950C2211yescharacteristic, complemented
165#64950C2211yescharacteristic, complemented
166#64949C2211yescharacteristic, complemented
167#64949C2211yescharacteristic, complemented
168#64948C2211yescharacteristic, complemented
169#64948C2211yescharacteristic, complemented
170#64947C2211yescharacteristic, complemented
171#64947C2211yescharacteristic, complemented
172#64947C2211yescharacteristic, complemented
173#64946C2211yescharacteristic, complemented
174#64946C2211yescharacteristic, complemented
175#64946C2211yescharacteristic, complemented
176#64945C2211yescharacteristic, complemented
177#64944C2211yescharacteristic, complemented
178#64944C2211yescharacteristic, complemented
179#64944C2211yescharacteristic, complemented
180#64943C2211yescharacteristic, complemented
181#64943C2211yescharacteristic, complemented
182#64942C2211yescharacteristic, complemented
183#64941C2211yescharacteristic, complemented
184#64939C2211yescharacteristic, complemented
185#64939C2211yescharacteristic, complemented
186#64936C2211yescharacteristic, complemented
187#36792—51nomaximal, Sylow
188C24×D5C2311yescharacteristic
189C22×C5×D4C2311yescharacteristic
190C23×C4×C5C2311yescharacteristic
191C22×C22⋊D5C2311yescharacteristic
192C22×C22⋊D5C2311yescharacteristic
193C23×Dic5C2311yescharacteristic
194C23×Dic5C2311yescharacteristic
195C22×C4×D5—42no—
196C22×C4×D5—42no—
197C22×C4×D5—42no—
198C22×C4×D5C2311yescharacteristic
199C22×C4×D5C2311yescharacteristic
200C22×C4×D5C2311yescharacteristic
201C22×C4×D5C2311yescharacteristic
202C22×C4×D5C2311yescharacteristic
203C22×C4×D5C2311yescharacteristic
204C22×C4×D5C2311yescharacteristic
205C22×C4×D5C2311yescharacteristic
206C22×Dic10C2311yescharacteristic
207C2×C5×C4⋊C4C2311yescharacteristic
208C2×C5×C4⋊C4C2311yescharacteristic
209C2×C5×C4⋊C4C2311yescharacteristic
210C2×C5×C4⋊C4C2311yescharacteristic
211C2×C5×C4⋊C4C2311yescharacteristic
212C2×C5×C4⋊C4C2311yescharacteristic
213C2×C5×C4⋊C4C2311yescharacteristic
214C2×C5×C4⋊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×C5×C22⋊C4C2311yescharacteristic
225C2×C5×C22⋊C4C2311yescharacteristic
226C2×C42×C5C2311yescharacteristic
227C2×C42×C5C2311yescharacteristic
228C2×C22⋊Dic5C2311yescharacteristic
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
239#4083—42no—
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×#685C2311yescharacteristic
256C2×#685C2311yescharacteristic
257C2×#685C2311yescharacteristic
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×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×#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×Dic5C2311yescharacteristic
295C2×C4×Dic5C2311yescharacteristic
296C2×C4×Dic5C2311yescharacteristic
297C2×C4×Dic5C2311yescharacteristic
298C2×C4×Dic5C2311yescharacteristic
299#4044—42no—
300#4042—42no—
301#4042—42no—
302#4038—24no—
303D5×C4⋊C4—42no—
304D5×C4⋊C4—42no—
305#4032—42no—
306#4029—24no—
307#4029—42no—
308#4029—42no—
309#4027—42no—
310D5×C22⋊C4—24no—
311D5×C22⋊C4—42no—
312#4024—42no—
313#4024—42no—
314#4018—42no—
315#4016—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#2849—51no—
365#2848—51no—
366#2807—51no—
367#2796D511yescharacteristic, complemented
368#2790—51no—
369#2787—51no—
370#2782—51no—
371#2781—51no—
372#2771—51no—
373#2765—51no—
374#2744—51no—
375#2732—51no—
376#2724—51no—
377#2720—51no—
378#2718—51no—
379#2694—51no—
380#2689—51no—
381#2680—51no—
382#2646—51no—
383#2643—51no—
384#2498—51no—
385#2482—51no—
386#2480—51no—
387#2473—51no—
388#2449—51no—
389#2438—51no—
390#2418—51no—
391#2411—51no—
392#2322—51no—
393#2317—51no—
394C2×#385—51no—
395C24×C5C2411yescharacteristic
396C24×C5C2411yescharacteristic
397C23×D5—22no—
398C23×D5—22no—
399C23×D5—22no—
400C23×D5—22no—
401C23×D5—22no—
402C23×D5—41no—
403C23×D5—41no—
404C23×D5C2411yescharacteristic
405C23×D5C2411yescharacteristic
406C2×C5×D4—22no—
407C2×C5×D4—41no—
408C2×C5×D4—41no—
409C22×C4×C5—41no—
410C22×C4×C5—41no—
411C22×C4×C5—41no—
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
424C22×C4×C5C2411yescharacteristic
425C2×C22⋊D5—22no—
426C2×C22⋊D5—22no—
427C2×C22⋊D5—22no—
428C2×C22⋊D5—22no—
429C2×C22⋊D5—41no—
430C2×C22⋊D5—41no—
431C22×Dic5—22no—
432C22×Dic5—41no—
433C22×Dic5—41no—
434C22×Dic5—41no—
435C22×Dic5—41no—
436C22×Dic5—41no—
437C22×Dic5C2411yescharacteristic
438C22×Dic5C2411yescharacteristic
439C22×Dic5C2411yescharacteristic
440C22×Dic5C2411yescharacteristic
441C22×Dic5C2411yescharacteristic
442C22×Dic5C2411yescharacteristic
443C22×Dic5C2411yescharacteristic
444C22×Dic5C2411yescharacteristic
445C22×Dic5C2411yescharacteristic
446C22×Dic5C2411yescharacteristic
447C22×Dic5C2411yescharacteristic
448C22×Dic5C2411yescharacteristic
449C22×Dic5C2411yescharacteristic
450C22×Dic5C2411yescharacteristic
451C2×C4×D5—22no—
452C2×C4×D5—22no—
453C2×C4×D5—22no—
454C2×C4×D5—22no—
455C2×C4×D5—22no—
456C2×C4×D5—22no—
457C2×C4×D5—22no—
458C2×C4×D5—22no—
459C2×C4×D5—22no—
460C2×C4×D5—22no—
461C2×C4×D5—22no—
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×C4×D5—41no—
470C2×C4×D5—416no—
471C2×C4×D5—41no—
472C2×C4×D5—41no—
473C2×C4×D5—41no—
474C2×C4×D5—41no—
475C2×C4×D5#4114yes—
476C2×Dic10—22no—
477C2×Dic10—41no—
478C2×Dic10—41no—
479C5×C4⋊C4—22no—
480C5×C4⋊C4—41no—
481C5×C4⋊C4—41no—
482C5×C4⋊C4—41no—
483C5×C4⋊C4—41no—
484C5×C4⋊C4—41no—
485C5×C4⋊C4—41no—
486C5×C4⋊C4—41no—
487C5×C22⋊C4—22no—
488C5×C22⋊C4—22no—
489C5×C22⋊C4—22no—
490C5×C22⋊C4—22no—
491C5×C22⋊C4—41no—
492C5×C22⋊C4—41no—
493C5×C22⋊C4—41no—
494C5×C22⋊C4—41no—
495C5×C22⋊C4—41no—
496C5×C22⋊C4—41no—
497C5×C22⋊C4—41no—
498C42×C5—41no—
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—
508C22⋊Dic5—41no—
509C22⋊Dic5—41no—
510C22⋊Dic5—41no—
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—22no—
522#685—22no—
523#685—22no—
524#685—22no—
525#685—41no—
526#685—41no—
527#685—41no—
528#685—41no—
529C4⋊Dic5—22no—
530C4⋊Dic5—22no—
531C4⋊Dic5—22no—
532C4⋊Dic5—22no—
533C4⋊Dic5—41no—
534C4⋊Dic5—41no—
535C4⋊Dic5—41no—
536C4⋊Dic5—41no—
537C4⋊Dic5—41no—
538C4⋊Dic5—41no—
539C4⋊Dic5—41no—
540C4⋊Dic5—41no—
541#683—22no—
542#683—22no—
543#683—22no—
544#683—41no—
545#683—41no—
546#683—41no—
547#683—41no—
548#683—41no—
549#683—41no—
550#683—41no—
551#683—41no—
552#683—41no—
553#683—41no—
554#683—41no—
555#683—41no—
556#683—41no—
557#683—41no—
558#683—41no—
559#683—41no—
560#683—41no—
561#683—41no—
562#683—41no—
563#683—41no—
564#683—41no—
565C4×Dic5—22no—
566C4×Dic5—22no—
567C4×Dic5—41no—
568C4×Dic5—41no—
569C4×Dic5—41no—
570C24×C4—51no—
571C2×#126—51no—
572C2×#125—51no—
573C2×#123—51no—
574C2×#123—51no—
575C2×#123—51no—
576C2×#123—51no—
577C2×C22⋊Q8—51no—
578C2×C22⋊Q8—51no—
579C2×C22⋊Q8—51no—
580C2×C22⋊Q8—51no—
581C2×#120—51no—
582C2×C4×D4—51no—
583C2×#117—51no—
584C2×#117—51no—
585C22×C4⋊C4—51no—
586C22×C4⋊C4—51no—
587C22×C22⋊C4—51no—
588C22×C22⋊C4—51no—
589#401—51no—
590#400—51no—
591#400—51no—
592#400—51no—
593#400—51no—
594#400—51no—
595#400—51no—
596#400—51no—
597#400—51no—
598#400—51no—
599#400C2×D511yescharacteristic, complemented
600#399—51no—
601#399—51no—
602#399—51no—
603#399—51no—
604#399C2×D511yescharacteristic, complemented
605#398—51no—
606#398—51no—
607#398—51no—
608#398—51no—
609#398—51no—
610#398—51no—
611#398—51no—
612#398—51no—
613#398—51no—
614#398—51no—
615#398—51no—
616#397—51no—
617#397—51no—
618#397—51no—
619#397—51no—
620#397—51no—
621#397—51no—
622#397—51no—
623#397C2×D511yescharacteristic
624#397C2×D511yescharacteristic, complemented
625#397C2×D511yescharacteristic, complemented
626#396—51no—
627#396—51no—
628#396—51no—
629#396—51no—
630#396—51no—
631#395—51no—
632#395—51no—
633#394—51no—
634#394—51no—
635#394—51no—
636#394C2×D511yescharacteristic
637#391—51no—
638#390—51no—
639#390C2×D511yescharacteristic
640#389—51no—
641#389—51no—
642#389—51no—
643#389—51no—
644#389—51no—
645#389—51no—
646#389—51no—
647#389—51no—
648#389C2×D511yescharacteristic, complemented
649#388—51no—
650#388—51no—
651#388—51no—
652#388—51no—
653#388—51no—
654#388—51no—
655#388—51no—
656#388—51no—
657#388—51no—
658#388—51no—
659#388—51no—
660#388—51no—
661#388—51no—
662#388C2×D511yescharacteristic
663#388C2×D511yescharacteristic, complemented
664#387—51no—
665#387—51no—
666#387—51no—
667#387—51no—
668#387—51no—
669#387—51no—
670#387—51no—
671#387C2×D511yescharacteristic, complemented
672#387C2×D511yescharacteristic, complemented
673#386—51no—
674#386—51no—
675#386—51no—
676#386—51no—
677#386—51no—
678#386—51no—
679#386C2×D511yescharacteristic
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#385—51no—
691#385—51no—
692#385—51no—
693#385—51no—
694#385—51no—
695#385—51no—
696#385—51no—
697#385—51no—
698#385—51no—
699#385—51no—
700#385—51no—
701#385—51no—
702#385—51no—
703#385—51no—
704#385—51no—
705#385C2×D511yescharacteristic
706#385C2×D511yescharacteristic
707#384—51no—
708#384—51no—
709#382—51no—
710#382—51no—
711#381—51no—
712#381—51no—
713#381—51no—
714#380—51no—
715#380—51no—
716#380—51no—
717#380—51no—
718#380—51no—
719#379—51no—
720#379—51no—
721#379—51no—
722C4×C22⋊C4—51no—
723C2×#95—51no—
724C2×#95—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×C5—21no—
738C23×C52−1+412yes—
739C23×C5C2511yescharacteristic
740C22×D5—21no—
741C22×D5—21no—
742C22×D5—21no—
743C22×D5—21no—
744C22×D5—28no—
745C22×D5—21no—
746C22×D5—21no—
747C22×D5—21no—
748C22×D5—21no—
749C22×D5—21no—
750C22×D5—21no—
751C22×D5—44no—
752C22×D5—44no—
753C22×D5—44no—
754C22×D5—44no—
755C22×D5—44no—
756C22×D5—44no—
757C22×D5C2×#4112yes—
758C22×D5H(5,𝔽2)12yes—
759C22×D5H(5,𝔽2)12yes—
760C22×D52−1+412yes—
761C5×D4—82no—
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—21no—
792C2×C4×C5—21no—
793C2×C4×C5—21no—
794C2×C4×C5—21no—
795C2×C4×C5—21no—
796C2×C4×C5—21no—
797C2×C4×C5—21no—
798C2×C4×C5—21no—
799C2×C4×C5—21no—
800C2×C4×C5—44no—
801C2×C4×C5C2×#4112yes—
802C22⋊D5—44no—
803C22⋊D5—82no—
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—21no—
833C2×Dic5—21no—
834C2×Dic5—21no—
835C2×Dic5—21no—
836C2×Dic5—21no—
837C2×Dic5—21no—
838C2×Dic5—21no—
839C2×Dic5—21no—
840C2×Dic5—21no—
841C2×Dic5—21no—
842C2×Dic5—21no—
843C2×Dic5—21no—
844C2×Dic5—44no—
845C2×Dic5—82no—
846C2×Dic5C2×#4112yes—
847C2×Dic5H(5,𝔽2)12yes—
848C4×D5—28no—
849C4×D5—44no—
850C4×D5—44no—
851C4×D5—44no—
852C4×D5—44no—
853C4×D5—44no—
854C4×D5—82no—
855C4×D5—82no—
856Dic10—82no—
857C25—51no—
858C22×Q8—51no—
859C22×D4—51no—
860C22×D4—51no—
861C22×D4C22×D511yescharacteristic
862C23×C4—51no—
863C23×C4—51no—
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×C4—202no—
873C23×C4—202no—
874C23×C4—202no—
875C23×C4C22×D511yescharacteristic
876#126—202no—
877#125—202no—
878#123—104no—
879#123—202no—
880#123—202no—
881#123—202no—
882C22⋊Q8—202no—
883C22⋊Q8—202no—
884C22⋊Q8—202no—
885C22⋊Q8—202no—
886#120—202no—
887C4×D4—202no—
888#117—104no—
889#117—202no—
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⋊C4—51no—
910C2×C4⋊C4—51no—
911C2×C4⋊C4—51no—
912C2×C4⋊C4—51no—
913C2×C4⋊C4—51no—
914C2×C4⋊C4—51no—
915C2×C4⋊C4—51no—
916C2×C4⋊C4—51no—
917C2×C4⋊C4—51no—
918C2×C4⋊C4—51no—
919C2×C4⋊C4—51no—
920C2×C4⋊C4—51no—
921C2×C4⋊C4—51no—
922C2×C4⋊C4—51no—
923C2×C4⋊C4—51no—
924C2×C4⋊C4—51no—
925C2×C4⋊C4—51no—
926C2×C4⋊C4—202no—
927C2×C4⋊C4—202no—
928C2×C4⋊C4C22×D511yescharacteristic
929C2×C4⋊C4C22×D511yescharacteristic
930C2×C4⋊C4C22×D511yescharacteristic
931C2×C4⋊C4C22×D511yescharacteristic
932C2×C4⋊C4C22×D511yescharacteristic
933C2×C4⋊C4C22×D511yescharacteristic
934C2×C4⋊C4C22×D511yescharacteristic
935C2×C4⋊C4C22×D511yescharacteristic
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⋊C4—51no—
944C2×C22⋊C4—51no—
945C2×C22⋊C4—51no—
946C2×C22⋊C4—51no—
947C2×C22⋊C4—51no—
948C2×C22⋊C4—51no—
949C2×C22⋊C4—51no—
950C2×C22⋊C4—51no—
951C2×C22⋊C4—51no—
952C2×C22⋊C4—51no—
953C2×C22⋊C4—51no—
954C2×C22⋊C4—51no—
955C2×C22⋊C4—51no—
956C2×C22⋊C4—51no—
957C2×C22⋊C4—51no—
958C2×C22⋊C4—51no—
959C2×C22⋊C4—51no—
960C2×C22⋊C4—51no—
961C2×C22⋊C4—51no—
962C2×C22⋊C4—51no—
963C2×C22⋊C4—51no—
964C2×C22⋊C4—51no—
965C2×C22⋊C4—104no—
966C2×C22⋊C4—202no—
967C2×C22⋊C4C22×D511yescharacteristic
968C2×C22⋊C4C22×D511yescharacteristic
969C2×C22⋊C4C22×D511yescharacteristic
970C2×C22⋊C4C22×D511yescharacteristic
971C2×C22⋊C4C22×D511yescharacteristic
972C2×C22⋊C4C22×D511yescharacteristic
973C2×C22⋊C4C22×D511yescharacteristic
974C2×C22⋊C4C22×D511yescharacteristic
975C2×C22⋊C4C22×D511yescharacteristic
976C2×C22⋊C4C22×D511yescharacteristic
977C2×C22⋊C4C22×D511yescharacteristic
978C2×C42—51no—
979C2×C42—51no—
980C2×C42—51no—
981C2×C42—51no—
982C2×C42—51no—
983C2×C42C22×D511yescharacteristic
984C2×C42C22×D511yescharacteristic
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#95—51no—
1018#95—51no—
1019#95—51no—
1020#95—51no—
1021#95C22×D511yescharacteristic
1022#95C22×D511yescharacteristic
1023#95C22×D511yescharacteristic
1024#95C22×D511yescharacteristic
1025#95C22×D511yescharacteristic
1026#95C22×D511yescharacteristic
1027#95C22×D511yescharacteristic
1028#95C22×D511yescharacteristic
1029#95C22×D511yescharacteristic
1030#95C22×D511yescharacteristic
1031#95C22×D511yescharacteristic
1032#95C22×D511yescharacteristic
1033C22×C5—22no—
1034C22×C5—22no—
1035C22×C5—22no—
1036C22×C5—41no—
1037C22×C5—41no—
1038C22×C5—41no—
1039C22×C5—41no—
1040C22×C5—41no—
1041C22×C5—41no—
1042C22×C5—41no—
1043C22×C5—41no—
1044C22×C5—41no—
1045C22×C5—41no—
1046C22×C5—41no—
1047C22×C5C22×#4111yescharacteristic
1048C22×C5C2×H(5,𝔽2)11yescharacteristic
1049C22×C5C2×H(5,𝔽2)11yescharacteristic
1050C22×C5C2×H(5,𝔽2)11yescharacteristic
1051C22×C5C2×2−1+411yescharacteristic
1052C22×C5C2×2−1+411yescharacteristic
1053C22×C5#58511yescharacteristic
1054C2×D5—22no—
1055C2×D5—22no—
1056C2×D5—22no—
1057C2×D5—22no—
1058C2×D5—22no—
1059C2×D5—22no—
1060C2×D5—22no—
1061C2×D5—22no—
1062C2×D5—22no—
1063C2×D5—416no—
1064C2×D5—41no—
1065C2×D5—41no—
1066C2×D5—41no—
1067C2×D5—41no—
1068C2×D5#53914yes—
1069C4×C5—22no—
1070C4×C5—41no—
1071C4×C5—41no—
1072C4×C5—41no—
1073C4×C5—41no—
1074C4×C5—41no—
1075C4×C5—41no—
1076C4×C5—41no—
1077C4×C5—41no—
1078C4×C5—41no—
1079C4×C5—41no—
1080C4×C5—41no—
1081C4×C5—41no—
1082Dic5—22no—
1083Dic5—22no—
1084Dic5—41no—
1085Dic5—41no—
1086Dic5—41no—
1087Dic5—41no—
1088Dic5—41no—
1089Dic5—41no—
1090Dic5—41no—
1091Dic5—41no—
1092Dic5—41no—
1093Dic5—41no—
1094Dic5—41no—
1095Dic5—41no—
1096C24—51no—
1097C24—51no—
1098C24—102no—
1099C24—102no—
1100C24—102no—
1101C24—102no—
1102C24—102no—
1103C24—201no—
1104C24—201no—
1105C24C23×D511yescharacteristic
1106C24C23×D511yescharacteristic
1107C2×Q8—102no—
1108C2×Q8—201no—
1109C2×Q8—201no—
1110C2×D4—22no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—102no—
1114C2×D4—102no—
1115C2×D4—102no—
1116C2×D4—102no—
1117C2×D4—201no—
1118C2×D4—201no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—51no—
1123C22×C4—51no—
1124C22×C4—54no—
1125C22×C4—51no—
1126C22×C4—51no—
1127C22×C4—51no—
1128C22×C4—51no—
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—102no—
1138C22×C4—102no—
1139C22×C4—102no—
1140C22×C4—102no—
1141C22×C4—102no—
1142C22×C4—102no—
1143C22×C4—102no—
1144C22×C4—102no—
1145C22×C4—102no—
1146C22×C4—102no—
1147C22×C4—102no—
1148C22×C4—102no—
1149C22×C4—201no—
1150C22×C4—201no—
1151C22×C4—201no—
1152C22×C4—201no—
1153C22×C4—201no—
1154C22×C4—201no—
1155C22×C4—201no—
1156C22×C4—201no—
1157C22×C4—201no—
1158C22×C4—201no—
1159C22×C4—201no—
1160C22×C4—201no—
1161C22×C4—2016no—
1162C22×C4—201no—
1163C22×C4—201no—
1164C22×C4—201no—
1165C22×C4—201no—
1166C22×C4—201no—
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
1177C22×C4C23×D511yescharacteristic
1178C22×C4C23×D511yescharacteristic
1179C22×C4C23×D511yescharacteristic
1180C4⋊C4—22no—
1181C4⋊C4—41no—
1182C4⋊C4—41no—
1183C4⋊C4—41no—
1184C4⋊C4—41no—
1185C4⋊C4—41no—
1186C4⋊C4—41no—
1187C4⋊C4—41no—
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—201no—
1203C4⋊C4—201no—
1204C4⋊C4—201no—
1205C4⋊C4—201no—
1206C4⋊C4—201no—
1207C4⋊C4—201no—
1208C4⋊C4—201no—
1209C4⋊C4—201no—
1210C4⋊C4—201no—
1211C4⋊C4—201no—
1212C4⋊C4—201no—
1213C4⋊C4—201no—
1214C4⋊C4—201no—
1215C4⋊C4—201no—
1216C4⋊C4—201no—
1217C4⋊C4—201no—
1218C4⋊C4—201no—
1219C4⋊C4—201no—
1220C4⋊C4—201no—
1221C4⋊C4—201no—
1222C4⋊C4—201no—
1223C4⋊C4—201no—
1224C22⋊C4—22no—
1225C22⋊C4—22no—
1226C22⋊C4—22no—
1227C22⋊C4—22no—
1228C22⋊C4—41no—
1229C22⋊C4—41no—
1230C22⋊C4—41no—
1231C22⋊C4—41no—
1232C22⋊C4—41no—
1233C22⋊C4—41no—
1234C22⋊C4—41no—
1235C22⋊C4—102no—
1236C22⋊C4—102no—
1237C22⋊C4—102no—
1238C22⋊C4—102no—
1239C22⋊C4—102no—
1240C22⋊C4—102no—
1241C22⋊C4—102no—
1242C22⋊C4—102no—
1243C22⋊C4—102no—
1244C22⋊C4—102no—
1245C22⋊C4—102no—
1246C22⋊C4—102no—
1247C22⋊C4—102no—
1248C22⋊C4—102no—
1249C22⋊C4—102no—
1250C22⋊C4—102no—
1251C22⋊C4—102no—
1252C22⋊C4—102no—
1253C22⋊C4—201no—
1254C22⋊C4—201no—
1255C22⋊C4—201no—
1256C22⋊C4—201no—
1257C22⋊C4—201no—
1258C22⋊C4—201no—
1259C22⋊C4—201no—
1260C22⋊C4—201no—
1261C22⋊C4—201no—
1262C22⋊C4—201no—
1263C22⋊C4—201no—
1264C42—41no—
1265C42—41no—
1266C42—102no—
1267C42—102no—
1268C42—201no—
1269C42—201no—
1270C42—201no—
1271C2×C5—42no—
1272C2×C5—81no—
1273C2×C5C2×#53911yescharacteristic
1274C2×C5#349211yescharacteristic
1275C2×C5#350611yescharacteristic
1276C2×C5#353211yescharacteristic
1277C2×C5#353511yescharacteristic
1278C2×C5#353511yescharacteristic
1279C2×C5#353811yescharacteristic
1280D5—24no—
1281D5—42no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—52no—
1296C23—52no—
1297C23—52no—
1298C23—52no—
1299C23—108no—
1300C23—101no—
1301C23—101no—
1302C23—101no—
1303C23—101no—
1304C23—101no—
1305C23—101no—
1306C23—101no—
1307C23—101no—
1308C23—101no—
1309C23—101no—
1310C23—204no—
1311C23—204no—
1312C23—204no—
1313C23—204no—
1314C23—204no—
1315C23—204no—
1316C23#415012yes—
1317C23C24×D511yescharacteristic
1318Q8—402no—
1319D4—82no—
1320D4—204no—
1321D4—402no—
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—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—44no—
1361C2×C4—52no—
1362C2×C4—52no—
1363C2×C4—108no—
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—101no—
1395C2×C4—101no—
1396C2×C4—101no—
1397C2×C4—101no—
1398C2×C4—101no—
1399C2×C4—101no—
1400C2×C4—101no—
1401C2×C4—101no—
1402C2×C4—101no—
1403C2×C4—101no—
1404C2×C4—204no—
1405C2×C4—204no—
1406C2×C4—204no—
1407C2×C4—204no—
1408C2×C4—204no—
1409C2×C4—204no—
1410C2×C4—402no—
1411C2×C4—402no—
1412C2×C4—402no—
1413C2×C4D5×#4112yes—
1414C5#3679211yescharacteristic, complemented, Sylow
1415C22—22no—
1416C22—22no—
1417C22—22no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—54no—
1430C22—102no—
1431C22—102no—
1432C22—102no—
1433C22—102no—
1434C22—102no—
1435C22—102no—
1436C22—102no—
1437C22—102no—
1438C22—102no—
1439C22—2016no—
1440C22—201no—
1441C22—201no—
1442C22—201no—
1443C22—201no—
1444C22C2×D5×#4111yescharacteristic
1445C22C2×#415011yescharacteristic
1446C22#6628311yescharacteristic
1447C22D5×H(5,𝔽2)11yescharacteristic
1448C22D5×H(5,𝔽2)11yescharacteristic
1449C22D5×H(5,𝔽2)11yescharacteristic
1450C22D5×2−1+411yescharacteristic
1451C4—22no—
1452C4—41no—
1453C4—41no—
1454C4—41no—
1455C4—41no—
1456C4—41no—
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—102no—
1465C4—102no—
1466C4—201no—
1467C4—201no—
1468C4—201no—
1469C4—201no—
1470C4—201no—
1471C4—201no—
1472C4—201no—
1473C4—201no—
1474C4—201no—
1475C4—201no—
1476C4—201no—
1477C4—201no—
1478C2—42no—
1479C2—81no—
1480C2—104no—
1481C2—202no—
1482C2#1061833611yescharacteristic
1483C2D5×#53911yescharacteristic
1484C2#1061846111yescharacteristic
1485C2#1061872211yescharacteristic
1486C2#1061881011yescharacteristic
1487C2#1061896411yescharacteristic
1488C2#1061898111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2796C2
prime radicalC2×#4083C22
hypercenter#2796D5
hypocenterC5#36792
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2796

Complements

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

NH ≅ G/Ntype
1. C5×#2796C2semidirect
2. #10610115C2semidirect
3. #10610094C2semidirect
4. #10609849C2semidirect
5. #10609835C2semidirect
6. #10609419C2semidirect
7. #10609410C2semidirect
8. #10609407C2semidirect
9. #10609367C2semidirect
10. #10609326C2semidirect
11. #10609299C2semidirect
13. #10608799C2semidirect
15. #10608132C2semidirect
16. #10607994C2semidirect
17. #10607699C2semidirect
18. #10607559C2semidirect
19. #10607428C2semidirect
20. #10607405C2semidirect
21. #10607272C2semidirect
22. #10607163C2semidirect
23. #10607161C2semidirect
24. #10607049C2semidirect
25. #10606739C2semidirect
27. #10606591C2semidirect
28. #10606386C2semidirect
29. D5×#385C2semidirect
30. #10606313C2semidirect
31. #10606308C2semidirect
48. C2×#4024C22semidirect
50. C2×#4016C22semidirect
51. C5×#400C22semidirect
52. C5×#399C22semidirect
54. C5×#397C22semidirect
55. C5×#397C22semidirect
58. C5×#389C22semidirect
60. C5×#388C22semidirect
61. C5×#387C22semidirect
62. C5×#387C22semidirect
82. #65275C22semidirect
83. #65275C22semidirect
84. #65274C22semidirect
85. #65273C22semidirect
86. #65273C22semidirect
87. #65273C22semidirect
88. #65269C22semidirect
89. #65269C22semidirect
90. #65269C22semidirect
91. #65268C22semidirect
92. #65265C22semidirect
93. #65265C22semidirect
94. #65262C22semidirect
95. #65262C22semidirect
96. #65261C22semidirect
97. #65261C22semidirect
108. #65242C22semidirect
110. #65241C22semidirect
116. #65239C22semidirect
119. #65238C22semidirect
122. #65237C22semidirect
123. #65237C22semidirect
125. #65235C22semidirect
126. #65235C22semidirect
128. #65234C22semidirect
129. #65234C22semidirect
130. #65234C22semidirect
136. #65218C22semidirect
137. #65217C22semidirect
138. #65217C22semidirect
163. C5⋊#401C22semidirect
164. #64950C22semidirect
165. #64950C22semidirect
166. #64949C22semidirect
167. #64949C22semidirect
168. #64948C22semidirect
169. #64948C22semidirect
170. #64947C22semidirect
171. #64947C22semidirect
172. #64947C22semidirect
173. #64946C22semidirect
174. #64946C22semidirect
175. #64946C22semidirect
176. #64945C22semidirect
177. #64944C22semidirect
178. #64944C22semidirect
179. #64944C22semidirect
180. #64943C22semidirect
181. #64943C22semidirect
182. #64942C22semidirect
183. #64941C22semidirect
184. #64939C22semidirect
185. #64939C22semidirect
186. #64936C22semidirect
367. #2796D5semidirect
599. #400C2×D5semidirect
604. #399C2×D5semidirect
624. #397C2×D5semidirect
625. #397C2×D5semidirect
648. #389C2×D5semidirect
663. #388C2×D5semidirect
671. #387C2×D5semidirect
672. #387C2×D5semidirect
1414. C5#36792semidirect

Maximal subgroups

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

subgroupindex
C5×#27962
#106101152
#106100942
#106098492
#106098352
#106094192
#106094102
#106094072
#106093672
#106093262
#106092992
#106088432
#106087992
#106081682
#106081322
#106079942
#106076992
#106075592
#106074282
#106074052
#106072722
#106071632
#106071612
#106070492
#106067392
#106066672
#106065912
#106063862
D5×#3852
#106063132
#106063082
#367925