Finite Group Databasebeta

← #12307144

Subgroups — #12307144

Order 1280.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1542 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2473C211yesmaximal, characteristic, complemented
2#10614801C211yesmaximal, characteristic, complemented
3#10614799C211yesmaximal, characteristic, complemented
4#10613926C211yesmaximal, characteristic, complemented
5C2×#65278C211yesmaximal, characteristic, complemented
6#10610122C211yesmaximal, characteristic, complemented
7#10610021C211yesmaximal, characteristic, complemented
8#10609733C211yesmaximal, characteristic, complemented
9#10609726C211yesmaximal, characteristic, complemented
10#10609713C211yesmaximal, characteristic, complemented
11#10609701C211yesmaximal, characteristic, complemented
12#10609610C211yesmaximal, characteristic, complemented
13#10609601C211yesmaximal, characteristic, complemented
14#10608011C211yesmaximal, characteristic, complemented
15#10607852C211yesmaximal, characteristic, complemented
16#10607150C211yesmaximal, characteristic, complemented
17#10606973C211yesmaximal, characteristic, complemented
18#10606947C211yesmaximal, characteristic, complemented
19#10606881C211yesmaximal, characteristic, complemented
20#10606386C211yesmaximal, characteristic, complemented
21#10606350C211yesmaximal, characteristic, complemented
22#10606350C211yesmaximal, characteristic, complemented
23#10606323C211yesmaximal, characteristic, complemented
24#10606196C211yesmaximal, characteristic, complemented
25#10606155C211yesmaximal, characteristic, complemented
26#10606152C211yesmaximal, characteristic, complemented
27#10606150C211yesmaximal, characteristic, complemented
28#10605779C211yesmaximal, characteristic
29#10605658C211yesmaximal, characteristic, complemented
30#10605300C211yesmaximal, characteristic, complemented
31#10605234C211yesmaximal, characteristic, complemented
32C23×C4×D5C2211yescharacteristic
33C2×C5×#125C2211yescharacteristic, complemented
34C22×C5×C4⋊C4C2211yescharacteristic
35C2×#4076C2211yescharacteristic
36C2×C4×C22⋊D5C2211yescharacteristic
37C22×#685C2211yescharacteristic
38C22×#685C2211yescharacteristic
39C22×#683C2211yescharacteristic
40C2×#4042C2211yescharacteristic
41C2×#4042C2211yescharacteristic
42C2×#4042C2211yescharacteristic, complemented
43C2×#4041C2211yescharacteristic
44C2×#4041C2211yescharacteristic
45C2×#4040C2211yescharacteristic, complemented
46C2×#4028C2211yescharacteristic
47C2×#4028C2211yescharacteristic
48C2×#4027C2211yescharacteristic
49C2×#4024C2211yescharacteristic
50C2×#4022C2211yescharacteristic, complemented
51C5×#400C2211yescharacteristic, complemented
52C5×#398C2211yescharacteristic, complemented
53C5×#398C2211yescharacteristic, complemented
54C5×#398C2211yescharacteristic, complemented
55C5×#389C2211yescharacteristic, complemented
56C5×#387C2211yescharacteristic, complemented
57C5×#387C2211yescharacteristic, complemented
58C5×#385C2211yescharacteristic
59C5×#385C2211yescharacteristic
60C5×#385C2211yescharacteristic
61C5×#385C2211yescharacteristic
62C5×#380C2211yescharacteristic
63C4×C5×C22⋊C4C2211yescharacteristic
64#65502C2211yescharacteristic
65#65502C2211yescharacteristic
66#65502C2211yescharacteristic
67#65499C2211yescharacteristic
68C2×#3963C2211yescharacteristic
69C2×#3963C2211yescharacteristic
70#65283C2211yescharacteristic, complemented
71#65282C2211yescharacteristic
72#65282C2211yescharacteristic
73#65282C2211yescharacteristic
74#65282C2211yescharacteristic
75#65282C2211yescharacteristic, complemented
76#65282C2211yescharacteristic, complemented
77#65282C2211yescharacteristic, complemented
78#65281C2211yescharacteristic, complemented
79#65281C2211yescharacteristic, complemented
80#65280C2211yescharacteristic
81#65280C2211yescharacteristic
82#65280C2211yescharacteristic
83#65280C2211yescharacteristic
84#65280C2211yescharacteristic, complemented
85#65280C2211yescharacteristic, complemented
86#65279C2211yescharacteristic
87#65279C2211yescharacteristic
88#65279C2211yescharacteristic, complemented
89#65279C2211yescharacteristic, complemented
90#65279C2211yescharacteristic, complemented
91#65278C2211yescharacteristic
92#65278C2211yescharacteristic
93#65278C2211yescharacteristic
94#65278C2211yescharacteristic
95#65278C2211yescharacteristic
96#65278C2211yescharacteristic
97#65278C2211yescharacteristic
98#65278C2211yescharacteristic
99#65278C2211yescharacteristic
100#65278C2211yescharacteristic
101#65278C2211yescharacteristic, complemented
102#65277C2211yescharacteristic
103#65277C2211yescharacteristic
104#65276C2211yescharacteristic
105#65276C2211yescharacteristic
106#65276C2211yescharacteristic, complemented
107#65273C2211yescharacteristic, complemented
108#65273C2211yescharacteristic, complemented
109#65272C2211yescharacteristic, complemented
110#65271C2211yescharacteristic, complemented
111#65271C2211yescharacteristic, complemented
112#65270C2211yescharacteristic, complemented
113#65270C2211yescharacteristic, complemented
114#65270C2211yescharacteristic, complemented
115#65268C2211yescharacteristic, complemented
116#65267C2211yescharacteristic, complemented
117#65263C2211yescharacteristic, complemented
118#65261C2211yescharacteristic, complemented
119#65261C2211yescharacteristic, complemented
120#65247C2211yescharacteristic
121#65247C2211yescharacteristic
122#65247C2211yescharacteristic
123#65247C2211yescharacteristic
124#65247C2211yescharacteristic
125#65244C2211yescharacteristic
126#65244C2211yescharacteristic
127#65239C2211yescharacteristic
128#65235C2211yescharacteristic
129#65235C2211yescharacteristic
130#65231C2211yescharacteristic
131C22⋊C4×Dic5C2211yescharacteristic
132#65229C2211yescharacteristic
133#65229C2211yescharacteristic
134#65229C2211yescharacteristic, complemented
135#65228C2211yescharacteristic
136#65228C2211yescharacteristic
137#65222C2211yescharacteristic, complemented
138#65222C2211yescharacteristic, complemented
139#64965C2211yescharacteristic, complemented
140#64965C2211yescharacteristic, complemented
141#64964C2211yescharacteristic
142#64964C2211yescharacteristic
143#64964C2211yescharacteristic
144#64964C2211yescharacteristic
145#64964C2211yescharacteristic, complemented
146#64964C2211yescharacteristic, complemented
147#64964C2211yescharacteristic, complemented
148#64962C2211yescharacteristic, complemented
149#64961C2211yescharacteristic
150#64961C2211yescharacteristic
151#64961C2211yescharacteristic
152#64961C2211yescharacteristic
153#64959C2211yescharacteristic
154#64959C2211yescharacteristic
155#64958C2211yescharacteristic
156#64958C2211yescharacteristic
157#64958C2211yescharacteristic, complemented
158#64957C2211yescharacteristic
159#64957C2211yescharacteristic
160#64957C2211yescharacteristic, complemented
161#64957C2211yescharacteristic, complemented
162#64956C2211yescharacteristic
163#64956C2211yescharacteristic
164#64954C2211yescharacteristic
165#64954C2211yescharacteristic
166#64954C2211yescharacteristic
167#64954C2211yescharacteristic
168#64954C2211yescharacteristic
169#64954C2211yescharacteristic
170#64954C2211yescharacteristic
171#64954C2211yescharacteristic
172#64954C2211yescharacteristic, complemented
173#64953C2211yescharacteristic, complemented
174C5⋊#401C2211yescharacteristic, complemented
175#64949C2211yescharacteristic, complemented
176#64948C2211yescharacteristic, complemented
177#64948C2211yescharacteristic, complemented
178#64947C2211yescharacteristic, complemented
179#64947C2211yescharacteristic, complemented
180#64947C2211yescharacteristic, complemented
181#64946C2211yescharacteristic, complemented
182#64942C2211yescharacteristic, complemented
183#64942C2211yescharacteristic, complemented
184#64941C2211yescharacteristic, complemented
185#64940C2211yescharacteristic, complemented
186#64939C2211yescharacteristic, complemented
187#36757—51nomaximal, Sylow
188C24×D5C2311yescharacteristic
189C23×C4×C5C2311yescharacteristic
190C23×C4×C5C2311yescharacteristic
191C23×C4×C5C2311yescharacteristic
192C22×C22⋊D5C2311yescharacteristic
193C22×C22⋊D5C2311yescharacteristic
194C23×Dic5C2311yescharacteristic
195C23×Dic5C2311yescharacteristic
196C23×Dic5C2311yescharacteristic
197C22×D20C2311yescharacteristic
198C22×D20C2311yescharacteristic
199C22×D20C2311yescharacteristic
200C22×D20C2311yescharacteristic
201C22×D20C2311yescharacteristic
202C22×C4×D5—42no—
203C22×C4×D5—42no—
204C22×C4×D5—42no—
205C22×C4×D5C2311yescharacteristic
206C22×C4×D5C2311yescharacteristic
207C22×C4×D5C2311yescharacteristic
208C22×C4×D5C2311yescharacteristic
209C22×C4×D5C2311yescharacteristic
210C22×C4×D5C2311yescharacteristic
211C22×Dic10C2311yescharacteristic
212C5×#125—42no—
213C2×C5×C4⋊C4—42no—
214C2×C5×C4⋊C4C2311yescharacteristic
215C2×C5×C4⋊C4C2311yescharacteristic
216C2×C5×C4⋊C4C2311yescharacteristic
217C2×C5×C4⋊C4C2311yescharacteristic
218C2×C5×C4⋊C4C2311yescharacteristic
219C2×C5×C4⋊C4C2311yescharacteristic
220C2×C5×C4⋊C4C2311yescharacteristic
221C2×C5×C4⋊C4C2311yescharacteristic
222C2×C5×C4⋊C4C2311yescharacteristic
223C2×C5×C4⋊C4C2311yescharacteristic
224C2×C5×C4⋊C4C2311yescharacteristic
225C2×C5×C4⋊C4C2311yescharacteristic
226C2×C5×C4⋊C4C2311yescharacteristic
227C2×C5×C4⋊C4C2311yescharacteristic
228C2×C5×C22⋊C4C2311yescharacteristic
229C2×C5×C22⋊C4C2311yescharacteristic
230C2×C5×C22⋊C4C2311yescharacteristic
231C2×C5×C22⋊C4C2311yescharacteristic
232C2×C42×C5C2311yescharacteristic
233C2×C42×C5C2311yescharacteristic
234C2×C22⋊Dic5C2311yescharacteristic
235C2×C22⋊Dic5C2311yescharacteristic
236#4076—42no—
237C4×C22⋊D5—42no—
238C2×#685—24no—
239C2×#685—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×#685C2311yescharacteristic
259C2×#685C2311yescharacteristic
260C2×#685C2311yescharacteristic
261C2×#685C2311yescharacteristic
262C2×#685C2311yescharacteristic
263C2×#685C2311yescharacteristic
264C2×#685C2311yescharacteristic
265C2×#685C2311yescharacteristic
266C2×#685C2311yescharacteristic
267C2×#685C2311yescharacteristic
268C2×#685C2311yescharacteristic
269C2×#685C2311yescharacteristic
270C2×#685C2311yescharacteristic
271C2×#685C2311yescharacteristic
272C2×#685C2311yescharacteristic
273C2×#685C2311yescharacteristic
274C2×#685C2311yescharacteristic
275C2×#685C2311yescharacteristic
276C2×#685C2311yescharacteristic
277C2×#685C2311yescharacteristic
278C2×#685C2311yescharacteristic
279C2×#685C2311yescharacteristic
280C2×C4⋊Dic5C2311yescharacteristic
281C2×C4⋊Dic5C2311yescharacteristic
282C2×C4⋊Dic5C2311yescharacteristic
283C2×C4⋊Dic5C2311yescharacteristic
284C2×#683—42no—
285C2×#683C2311yescharacteristic
286C2×#683C2311yescharacteristic
287C2×#683C2311yescharacteristic
288C2×#683C2311yescharacteristic
289C2×#683C2311yescharacteristic
290C2×#683C2311yescharacteristic
291C2×#683C2311yescharacteristic
292C2×#683C2311yescharacteristic
293C2×#683C2311yescharacteristic
294C2×#683C2311yescharacteristic
295C2×#683C2311yescharacteristic
296C2×#683C2311yescharacteristic
297C2×#683C2311yescharacteristic
298C2×#683C2311yescharacteristic
299C2×#683C2311yescharacteristic
300C2×#683C2311yescharacteristic
301C2×C4×Dic5C2311yescharacteristic
302C2×C4×Dic5C2311yescharacteristic
303C2×C4×Dic5C2311yescharacteristic
304C2×C4×Dic5C2311yescharacteristic
305#4042—42no—
306#4042—42no—
307#4042—42no—
308#4041—42no—
309#4041—42no—
310#4040—42no—
311#4028—24no—
312#4028—24no—
313#4027—42no—
314#4024—42no—
315#4022—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#2848—51no—
365#2847—51no—
366#2796—51no—
367#2787—51no—
368#2786—51no—
369#2782—51no—
370#2770—51no—
371#2757—51no—
372#2750—51no—
373#2747—51no—
374#2746—51no—
375#2728—51no—
376#2723—51no—
377#2711—51no—
378#2708—51no—
379#2691—51no—
380#2690—51no—
381#2681—51no—
382#2622—51no—
383#2622—51no—
384#2510—51no—
385#2505—51no—
386#2481—51no—
387#2473D511yescharacteristic, complemented
388#2450—51no—
389#2449—51no—
390#2444—51no—
391#2443—51no—
392#2321—51no—
393#2321—51no—
394C2×#385—51no—
395C24×C5C2411yescharacteristic
396C23×D5—22no—
397C23×D5—22no—
398C23×D5—41no—
399C23×D5—41no—
400C23×D5—41no—
401C23×D5—41no—
402C23×D5#4114yes—
403C23×D5C2411yescharacteristic
404C23×D5C2411yescharacteristic
405C23×D5C2411yescharacteristic
406C23×D5C2411yescharacteristic
407C22×C4×C5—22no—
408C22×C4×C5—22no—
409C22×C4×C5—22no—
410C22×C4×C5—22no—
411C22×C4×C5—41no—
412C22×C4×C5—41no—
413C22×C4×C5—41no—
414C22×C4×C5—41no—
415C22×C4×C5—41no—
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
425C22×C4×C5C2411yescharacteristic
426C22×C4×C5C2411yescharacteristic
427C22×C4×C5C2411yescharacteristic
428C22×C4×C5C2411yescharacteristic
429C22×C4×C5C2411yescharacteristic
430C2×C22⋊D5—22no—
431C2×C22⋊D5—22no—
432C2×C22⋊D5—22no—
433C2×C22⋊D5—22no—
434C2×C22⋊D5—22no—
435C2×C22⋊D5—22no—
436C22×Dic5—22no—
437C22×Dic5—22no—
438C22×Dic5—22no—
439C22×Dic5—22no—
440C22×Dic5—41no—
441C22×Dic5—41no—
442C22×Dic5—41no—
443C22×Dic5—41no—
444C22×Dic5—41no—
445C22×Dic5C2411yescharacteristic
446C22×Dic5C2411yescharacteristic
447C22×Dic5C2411yescharacteristic
448C22×Dic5C2411yescharacteristic
449C22×Dic5C2411yescharacteristic
450C22×Dic5C2411yescharacteristic
451C22×Dic5C2411yescharacteristic
452C22×Dic5C2411yescharacteristic
453C22×Dic5C2411yescharacteristic
454C22×Dic5C2411yescharacteristic
455C22×Dic5C2411yescharacteristic
456C22×Dic5C2411yescharacteristic
457C2×D20—22no—
458C2×D20—22no—
459C2×D20—22no—
460C2×D20—22no—
461C2×D20—22no—
462C2×D20—41no—
463C2×D20—41no—
464C2×D20—41no—
465C2×D20—41no—
466C2×D20—41no—
467C2×D20—41no—
468C2×D20—41no—
469C2×D20—41no—
470C2×D20—41no—
471C2×D20—41no—
472C2×C4×D5—22no—
473C2×C4×D5—22no—
474C2×C4×D5—22no—
475C2×C4×D5—22no—
476C2×C4×D5—41no—
477C2×C4×D5—41no—
478C2×C4×D5—41no—
479C2×C4×D5—41no—
480C2×C4×D5—41no—
481C2×C4×D5—41no—
482C2×C4×D5—41no—
483C2×C4×D5—41no—
484C2×C4×D5—416no—
485C2×C4×D5—41no—
486C2×C4×D5—41no—
487C2×C4×D5—41no—
488C2×C4×D5—41no—
489C2×C4×D5—41no—
490C2×C4×D5—41no—
491C2×Dic10—22no—
492C2×Dic10—41no—
493C2×Dic10—41no—
494C5×C4⋊C4—22no—
495C5×C4⋊C4—22no—
496C5×C4⋊C4—22no—
497C5×C4⋊C4—22no—
498C5×C4⋊C4—41no—
499C5×C4⋊C4—41no—
500C5×C4⋊C4—41no—
501C5×C4⋊C4—41no—
502C5×C4⋊C4—41no—
503C5×C4⋊C4—41no—
504C5×C4⋊C4—41no—
505C5×C4⋊C4—41no—
506C5×C4⋊C4—41no—
507C5×C4⋊C4—41no—
508C5×C22⋊C4—22no—
509C5×C22⋊C4—22no—
510C5×C22⋊C4—22no—
511C5×C22⋊C4—22no—
512C42×C5—41no—
513C42×C5—41no—
514C22⋊Dic5—22no—
515C22⋊Dic5—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—22no—
526#685—41no—
527#685—41no—
528#685—41no—
529#685—41no—
530#685—41no—
531#685—41no—
532#685—41no—
533#685—41no—
534#685—41no—
535#685—41no—
536#685—41no—
537#685—41no—
538#685—41no—
539#685—41no—
540#685—41no—
541#685—41no—
542#685—41no—
543#685—41no—
544#685—41no—
545#685—41no—
546#685—41no—
547#685—41no—
548#685—41no—
549#685—41no—
550#685—41no—
551#685—41no—
552#685—41no—
553#685—41no—
554#685—41no—
555#685—41no—
556C4⋊Dic5—41no—
557C4⋊Dic5—41no—
558C4⋊Dic5—41no—
559C4⋊Dic5—41no—
560#683—22no—
561#683—22no—
562#683—22no—
563#683—22no—
564#683—41no—
565#683—41no—
566#683—41no—
567#683—41no—
568#683—41no—
569#683—41no—
570#683—41no—
571#683—41no—
572#683—41no—
573#683—41no—
574#683—41no—
575#683—41no—
576C4×Dic5—41no—
577C4×Dic5—41no—
578C4×Dic5—41no—
579C4×Dic5—41no—
580C24×C4—51no—
581C2×#126—51no—
582C2×#125C2×D511yescharacteristic, complemented
583C2×#123—51no—
584C2×C22⋊Q8—51no—
585C2×C22⋊Q8—51no—
586C2×C22⋊Q8—51no—
587C2×C22⋊Q8—51no—
588C2×#121—51no—
589C2×#121—51no—
590C2×#121—51no—
591C2×#120—51no—
592C2×#120—51no—
593C2×C4×D4—51no—
594C2×C4×D4—51no—
595C22×C4⋊C4—51no—
596C22×C4⋊C4C2×D511yescharacteristic
597C22×C22⋊C4—51no—
598C22×C22⋊C4—51no—
599#401—51no—
600#400—51no—
601#400—51no—
602#400—51no—
603#400—51no—
604#400—51no—
605#400—51no—
606#400—51no—
607#400—51no—
608#400C2×D511yescharacteristic, complemented
609#399—51no—
610#399—51no—
611#398—51no—
612#398—51no—
613#398—51no—
614#398—51no—
615#398C2×D511yescharacteristic, complemented
616#398C2×D511yescharacteristic, complemented
617#398C2×D511yescharacteristic, complemented
618#397—51no—
619#397—51no—
620#397—51no—
621#397—51no—
622#397—51no—
623#397—51no—
624#397—51no—
625#397—51no—
626#397—51no—
627#397—51no—
628#397—51no—
629#397—51no—
630#397—51no—
631#397—51no—
632#396—51no—
633#396—51no—
634#396—51no—
635#395—51no—
636#394—51no—
637#394—51no—
638#394—51no—
639#394—51no—
640#394—51no—
641#394—51no—
642#394—51no—
643#394—51no—
644#394—51no—
645#394—51no—
646#393—51no—
647#391—51no—
648#390—51no—
649#390—51no—
650#390—51no—
651#390—51no—
652#389—51no—
653#389—51no—
654#389C2×D511yescharacteristic, complemented
655#388—51no—
656#388—51no—
657#388—51no—
658#388—51no—
659#388—51no—
660#388—51no—
661#388—51no—
662#388—51no—
663#388—51no—
664#388—51no—
665#388—51no—
666#388—51no—
667#388—51no—
668#387—51no—
669#387—51no—
670#387—51no—
671#387—51no—
672#387—51no—
673#387—51no—
674#387—51no—
675#387—51no—
676#387—51no—
677#387C2×D511yescharacteristic, complemented
678#387C2×D511yescharacteristic, complemented
679#386—51no—
680#386—51no—
681#386—51no—
682#386—51no—
683#386—51no—
684#386—51no—
685#386—51no—
686#386—51no—
687#386—51no—
688#386—51no—
689#386—51no—
690#386—51no—
691#386—51no—
692#386—51no—
693#386—51no—
694#386—51no—
695#386—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#385—51no—
706#385—51no—
707#385—51no—
708#385—51no—
709#385—51no—
710#385—51no—
711#385—51no—
712#385—51no—
713#385—51no—
714#385—51no—
715#385C2×D511yescharacteristic
716#385C2×D511yescharacteristic
717#385C2×D511yescharacteristic
718#385C2×D511yescharacteristic
719#383—51no—
720#382—51no—
721#381—51no—
722#380—51no—
723#380—51no—
724#380—51no—
725#380—51no—
726#380—51no—
727#380—51no—
728#380C2×D511yescharacteristic
729#379—51no—
730#379—51no—
731C4×C22⋊C4—51no—
732C4×C22⋊C4C2×D511yescharacteristic
733C2×#95—51no—
734C2×#95—51no—
735C23×C5—21no—
736C23×C5—21no—
737C23×C5—21no—
738C23×C5—21no—
739C23×C5C2×#4112yes—
740C23×C5H(5,𝔽2)12yes—
741C23×C52−1+412yes—
742C23×C5C2511yescharacteristic
743C22×D5—28no—
744C22×D5—21no—
745C22×D5—21no—
746C22×D5—21no—
747C22×D5—21no—
748C22×D5—21no—
749C22×D5—21no—
750C22×D5—21no—
751C22×D5—21no—
752C22×D5—21no—
753C22×D5—21no—
754C22×D5—21no—
755C22×D5—21no—
756C22×D5—21no—
757C22×D5—21no—
758C22×D5—21no—
759C22×D5—21no—
760C22×D5—21no—
761C22×D5—21no—
762C22×D5—21no—
763C22×D5—21no—
764C22×D5—21no—
765C22×D5—21no—
766C22×D5—21no—
767C22×D5—21no—
768C22×D5—21no—
769C22×D5—21no—
770C22×D5—44no—
771C22×D5—44no—
772C22×D5—44no—
773C22×D5—44no—
774C22×D5—44no—
775C22×D5—44no—
776C22×D5C2×#4112yes—
777C22×D5C2×#4112yes—
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—21no—
801C2×C4×C5—21no—
802C2×C4×C5—21no—
803C2×C4×C5—21no—
804C2×C4×C5—21no—
805C2×C4×C5—21no—
806C2×C4×C5—21no—
807C2×C4×C5—21no—
808C2×C4×C5—21no—
809C2×C4×C5—21no—
810C2×C4×C5—21no—
811C2×C4×C5—21no—
812C2×C4×C5—21no—
813C2×C4×C5—21no—
814C2×C4×C5—21no—
815C2×C4×C5—21no—
816C2×C4×C5—21no—
817C2×C4×C5—21no—
818C2×C4×C5—21no—
819C2×C4×C5—44no—
820C2×C4×C5—44no—
821C2×C4×C5—82no—
822C2×C4×C5H(5,𝔽2)12yes—
823C22⋊D5—44no—
824C22⋊D5—44no—
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—21no—
845C2×Dic5—21no—
846C2×Dic5—21no—
847C2×Dic5—21no—
848C2×Dic5—21no—
849C2×Dic5—21no—
850C2×Dic5—21no—
851C2×Dic5—21no—
852C2×Dic5—21no—
853C2×Dic5—21no—
854C2×Dic5—21no—
855C2×Dic5—21no—
856C2×Dic5—21no—
857C2×Dic5—21no—
858C2×Dic5—21no—
859C2×Dic5—21no—
860C2×Dic5—44no—
861C2×Dic5—44no—
862C2×Dic5—82no—
863C2×Dic5H(5,𝔽2)12yes—
864D20—82no—
865D20—82no—
866D20—82no—
867D20—82no—
868D20—82no—
869C4×D5—44no—
870C4×D5—44no—
871C4×D5—44no—
872C4×D5—44no—
873C4×D5—82no—
874C4×D5—82no—
875Dic10—82no—
876C25—51no—
877C22×Q8—51no—
878C22×D4—51no—
879C22×D4—51no—
880C22×D4—51no—
881C22×D4—51no—
882C22×D4—51no—
883C22×D4—51no—
884C22×D4—51no—
885C23×C4—51no—
886C23×C4—51no—
887C23×C4—51no—
888C23×C4—51no—
889C23×C4—51no—
890C23×C4—51no—
891C23×C4—51no—
892C23×C4—51no—
893C23×C4—51no—
894C23×C4—202no—
895C23×C4—202no—
896C23×C4—202no—
897C23×C4C22×D511yescharacteristic
898C23×C4C22×D511yescharacteristic
899C23×C4C22×D511yescharacteristic
900#126—202no—
901#125—42no—
902#123—202no—
903C22⋊Q8—202no—
904C22⋊Q8—202no—
905C22⋊Q8—202no—
906C22⋊Q8—202no—
907#121—202no—
908#121—202no—
909#121—202no—
910#120—104no—
911#120—104no—
912C4×D4—202no—
913C4×D4—202no—
914C2×C4⋊C4—42no—
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—51no—
927C2×C4⋊C4—51no—
928C2×C4⋊C4—51no—
929C2×C4⋊C4—51no—
930C2×C4⋊C4—51no—
931C2×C4⋊C4—51no—
932C2×C4⋊C4—51no—
933C2×C4⋊C4—51no—
934C2×C4⋊C4—51no—
935C2×C4⋊C4—202no—
936C2×C4⋊C4C22×D511yescharacteristic
937C2×C4⋊C4C22×D511yescharacteristic
938C2×C4⋊C4C22×D511yescharacteristic
939C2×C4⋊C4C22×D511yescharacteristic
940C2×C4⋊C4C22×D511yescharacteristic
941C2×C4⋊C4C22×D511yescharacteristic
942C2×C4⋊C4C22×D511yescharacteristic
943C2×C4⋊C4C22×D511yescharacteristic
944C2×C4⋊C4C22×D511yescharacteristic
945C2×C4⋊C4C22×D511yescharacteristic
946C2×C4⋊C4C22×D511yescharacteristic
947C2×C4⋊C4C22×D511yescharacteristic
948C2×C4⋊C4C22×D511yescharacteristic
949C2×C4⋊C4C22×D511yescharacteristic
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—51no—
966C2×C22⋊C4—51no—
967C2×C22⋊C4—51no—
968C2×C22⋊C4—51no—
969C2×C22⋊C4—51no—
970C2×C22⋊C4—51no—
971C2×C22⋊C4—51no—
972C2×C22⋊C4—51no—
973C2×C22⋊C4—51no—
974C2×C22⋊C4—51no—
975C2×C22⋊C4—51no—
976C2×C22⋊C4—51no—
977C2×C22⋊C4—51no—
978C2×C22⋊C4—51no—
979C2×C22⋊C4—51no—
980C2×C22⋊C4—51no—
981C2×C22⋊C4—51no—
982C2×C22⋊C4—51no—
983C2×C22⋊C4—51no—
984C2×C22⋊C4—51no—
985C2×C22⋊C4—51no—
986C2×C22⋊C4—51no—
987C2×C22⋊C4—51no—
988C2×C22⋊C4—51no—
989C2×C22⋊C4—51no—
990C2×C22⋊C4—51no—
991C2×C22⋊C4—51no—
992C2×C22⋊C4—104no—
993C2×C22⋊C4—202no—
994C2×C22⋊C4C22×D511yescharacteristic
995C2×C22⋊C4C22×D511yescharacteristic
996C2×C22⋊C4C22×D511yescharacteristic
997C2×C22⋊C4C22×D511yescharacteristic
998C2×C42—51no—
999C2×C42—51no—
1000C2×C42—51no—
1001C2×C42—51no—
1002C2×C42C22×D511yescharacteristic
1003C2×C42C22×D511yescharacteristic
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#95—51no—
1022#95—51no—
1023#95—51no—
1024#95—51no—
1025#95—51no—
1026#95—51no—
1027#95—51no—
1028#95—51no—
1029#95—51no—
1030#95—51no—
1031#95—51no—
1032#95—51no—
1033#95—51no—
1034#95—51no—
1035#95—51no—
1036#95—51no—
1037#95—51no—
1038#95—51no—
1039#95—51no—
1040#95C22×D511yescharacteristic
1041#95C22×D511yescharacteristic
1042#95C22×D511yescharacteristic
1043#95C22×D511yescharacteristic
1044#95C22×D511yescharacteristic
1045#95C22×D511yescharacteristic
1046#95C22×D511yescharacteristic
1047#95C22×D511yescharacteristic
1048#95C22×D511yescharacteristic
1049#95C22×D511yescharacteristic
1050#95C22×D511yescharacteristic
1051#95C22×D511yescharacteristic
1052C22×C5—22no—
1053C22×C5—22no—
1054C22×C5—22no—
1055C22×C5—22no—
1056C22×C5—22no—
1057C22×C5—22no—
1058C22×C5#53914yes—
1059C22×C5C22×#4111yescharacteristic
1060C22×C5C2×H(5,𝔽2)11yescharacteristic
1061C22×C5C2×H(5,𝔽2)11yescharacteristic
1062C22×C5C2×H(5,𝔽2)11yescharacteristic
1063C22×C5C2×2−1+411yescharacteristic
1064C22×C5#58511yescharacteristic
1065C22×C5#58511yescharacteristic
1066C2×D5—22no—
1067C2×D5—22no—
1068C2×D5—22no—
1069C2×D5—22no—
1070C2×D5—22no—
1071C2×D5—22no—
1072C2×D5—416no—
1073C2×D5—41no—
1074C2×D5—41no—
1075C2×D5—41no—
1076C2×D5—41no—
1077C2×D5—41no—
1078C2×D5—41no—
1079C2×D5—41no—
1080C2×D5—41no—
1081C2×D5—41no—
1082C2×D5—41no—
1083C2×D5—41no—
1084C2×D5—41no—
1085C2×D5—41no—
1086C2×D5—41no—
1087C2×D5—41no—
1088C2×D5—41no—
1089C2×D5—41no—
1090C2×D5—41no—
1091C2×D5—41no—
1092C2×D5—41no—
1093C2×D5—41no—
1094C2×D5—41no—
1095C4×C5—22no—
1096C4×C5—41no—
1097C4×C5—41no—
1098C4×C5—41no—
1099C4×C5—41no—
1100C4×C5—41no—
1101C4×C5—41no—
1102C4×C5—41no—
1103C4×C5—41no—
1104C4×C5—41no—
1105C4×C5—41no—
1106C4×C5—41no—
1107C4×C5—41no—
1108C4×C5—41no—
1109Dic5—22no—
1110Dic5—41no—
1111Dic5—41no—
1112Dic5—41no—
1113Dic5—41no—
1114Dic5—41no—
1115Dic5—41no—
1116Dic5—41no—
1117Dic5—41no—
1118Dic5—41no—
1119Dic5—41no—
1120Dic5—41no—
1121C24—51no—
1122C24—51no—
1123C24—54no—
1124C24—51no—
1125C24—51no—
1126C24—102no—
1127C24—102no—
1128C24—201no—
1129C24—201no—
1130C24—201no—
1131C24—201no—
1132C24C23×D511yescharacteristic
1133C2×Q8—102no—
1134C2×Q8—201no—
1135C2×Q8—201no—
1136C2×D4—102no—
1137C2×D4—102no—
1138C2×D4—102no—
1139C2×D4—102no—
1140C2×D4—102no—
1141C2×D4—102no—
1142C2×D4—102no—
1143C2×D4—102no—
1144C2×D4—102no—
1145C2×D4—102no—
1146C2×D4—102no—
1147C2×D4—201no—
1148C2×D4—201no—
1149C2×D4—201no—
1150C2×D4—201no—
1151C2×D4—201no—
1152C2×D4—201no—
1153C2×D4—201no—
1154C2×D4—201no—
1155C2×D4—201no—
1156C2×D4—201no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—51no—
1167C22×C4—51no—
1168C22×C4—51no—
1169C22×C4—51no—
1170C22×C4—51no—
1171C22×C4—51no—
1172C22×C4—51no—
1173C22×C4—51no—
1174C22×C4—51no—
1175C22×C4—51no—
1176C22×C4—51no—
1177C22×C4—51no—
1178C22×C4—102no—
1179C22×C4—102no—
1180C22×C4—102no—
1181C22×C4—102no—
1182C22×C4—102no—
1183C22×C4—102no—
1184C22×C4—102no—
1185C22×C4—102no—
1186C22×C4—201no—
1187C22×C4—201no—
1188C22×C4—201no—
1189C22×C4—201no—
1190C22×C4—201no—
1191C22×C4—201no—
1192C22×C4—201no—
1193C22×C4—201no—
1194C22×C4—201no—
1195C22×C4—201no—
1196C22×C4—201no—
1197C22×C4—201no—
1198C22×C4—201no—
1199C22×C4—201no—
1200C22×C4—2016no—
1201C22×C4—201no—
1202C22×C4—201no—
1203C22×C4—201no—
1204C22×C4—201no—
1205C22×C4—201no—
1206C22×C4C23×D511yescharacteristic
1207C22×C4C23×D511yescharacteristic
1208C22×C4C23×D511yescharacteristic
1209C22×C4C23×D511yescharacteristic
1210C22×C4C23×D511yescharacteristic
1211C22×C4C23×D511yescharacteristic
1212C22×C4C23×D511yescharacteristic
1213C22×C4C23×D511yescharacteristic
1214C22×C4C23×D511yescharacteristic
1215C22×C4C23×D511yescharacteristic
1216C22×C4C23×D511yescharacteristic
1217C22×C4C23×D511yescharacteristic
1218C22×C4C23×D511yescharacteristic
1219C22×C4C23×D511yescharacteristic
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—41no—
1225C4⋊C4—41no—
1226C4⋊C4—41no—
1227C4⋊C4—41no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—102no—
1235C4⋊C4—102no—
1236C4⋊C4—102no—
1237C4⋊C4—102no—
1238C4⋊C4—201no—
1239C4⋊C4—201no—
1240C4⋊C4—201no—
1241C4⋊C4—201no—
1242C4⋊C4—201no—
1243C4⋊C4—201no—
1244C4⋊C4—201no—
1245C4⋊C4—201no—
1246C4⋊C4—201no—
1247C4⋊C4—201no—
1248C4⋊C4—201no—
1249C4⋊C4—201no—
1250C4⋊C4—201no—
1251C4⋊C4—201no—
1252C4⋊C4—201no—
1253C4⋊C4—201no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—102no—
1259C22⋊C4—102no—
1260C22⋊C4—102no—
1261C22⋊C4—102no—
1262C22⋊C4—102no—
1263C22⋊C4—102no—
1264C22⋊C4—102no—
1265C22⋊C4—102no—
1266C22⋊C4—102no—
1267C22⋊C4—102no—
1268C22⋊C4—102no—
1269C22⋊C4—102no—
1270C22⋊C4—201no—
1271C22⋊C4—201no—
1272C22⋊C4—201no—
1273C22⋊C4—201no—
1274C22⋊C4—201no—
1275C22⋊C4—201no—
1276C22⋊C4—201no—
1277C22⋊C4—201no—
1278C22⋊C4—201no—
1279C22⋊C4—201no—
1280C22⋊C4—201no—
1281C22⋊C4—201no—
1282C22⋊C4—201no—
1283C22⋊C4—201no—
1284C22⋊C4—201no—
1285C22⋊C4—201no—
1286C22⋊C4—201no—
1287C22⋊C4—201no—
1288C22⋊C4—201no—
1289C22⋊C4—201no—
1290C22⋊C4—201no—
1291C22⋊C4—201no—
1292C22⋊C4—201no—
1293C22⋊C4—201no—
1294C22⋊C4—201no—
1295C22⋊C4—201no—
1296C22⋊C4—201no—
1297C22⋊C4—201no—
1298C22⋊C4—201no—
1299C22⋊C4—201no—
1300C42—41no—
1301C42—41no—
1302C42—201no—
1303C42—201no—
1304C42—201no—
1305C42—201no—
1306C2×C5—24no—
1307C2×C5C2×#53911yescharacteristic
1308C2×C5#350511yescharacteristic
1309C2×C5#350511yescharacteristic
1310C2×C5#353211yescharacteristic
1311C2×C5#353311yescharacteristic
1312C2×C5#354111yescharacteristic
1313C2×C5#354111yescharacteristic
1314D5—42no—
1315D5—42no—
1316D5—81no—
1317D5—81no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—52no—
1323C23—52no—
1324C23—101no—
1325C23—101no—
1326C23—101no—
1327C23—101no—
1328C23—101no—
1329C23—101no—
1330C23—108no—
1331C23—101no—
1332C23—101no—
1333C23—101no—
1334C23—101no—
1335C23—101no—
1336C23—101no—
1337C23—101no—
1338C23—101no—
1339C23—101no—
1340C23—101no—
1341C23—101no—
1342C23—101no—
1343C23—101no—
1344C23—101no—
1345C23—101no—
1346C23—101no—
1347C23—101no—
1348C23—101no—
1349C23—101no—
1350C23—101no—
1351C23—204no—
1352C23—204no—
1353C23—204no—
1354C23—204no—
1355C23—204no—
1356C23—204no—
1357C23#414712yes—
1358C23D5×#4112yes—
1359C23#414912yes—
1360C23C24×D511yescharacteristic
1361Q8—402no—
1362D4—204no—
1363D4—204no—
1364D4—402no—
1365D4—402no—
1366D4—402no—
1367D4—402no—
1368D4—402no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—44no—
1411C2×C4—44no—
1412C2×C4—52no—
1413C2×C4—82no—
1414C2×C4—101no—
1415C2×C4—101no—
1416C2×C4—101no—
1417C2×C4—101no—
1418C2×C4—101no—
1419C2×C4—101no—
1420C2×C4—101no—
1421C2×C4—101no—
1422C2×C4—101no—
1423C2×C4—101no—
1424C2×C4—101no—
1425C2×C4—101no—
1426C2×C4—101no—
1427C2×C4—101no—
1428C2×C4—101no—
1429C2×C4—101no—
1430C2×C4—101no—
1431C2×C4—101no—
1432C2×C4—101no—
1433C2×C4—101no—
1434C2×C4—101no—
1435C2×C4—101no—
1436C2×C4—101no—
1437C2×C4—101no—
1438C2×C4—101no—
1439C2×C4—101no—
1440C2×C4—101no—
1441C2×C4—101no—
1442C2×C4—101no—
1443C2×C4—101no—
1444C2×C4—101no—
1445C2×C4—101no—
1446C2×C4—101no—
1447C2×C4—101no—
1448C2×C4—101no—
1449C2×C4—204no—
1450C2×C4—204no—
1451C2×C4—204no—
1452C2×C4—204no—
1453C2×C4—204no—
1454C2×C4—204no—
1455C2×C4—402no—
1456C2×C4—402no—
1457C2×C4—402no—
1458C2×C4#414412yes—
1459C5#3675711yescharacteristic, complemented, Sylow
1460C22—22no—
1461C22—22no—
1462C22—22no—
1463C22—22no—
1464C22—22no—
1465C22—22no—
1466C22—102no—
1467C22—102no—
1468C22—102no—
1469C22—102no—
1470C22—102no—
1471C22—102no—
1472C22—2016no—
1473C22—201no—
1474C22—201no—
1475C22—201no—
1476C22—201no—
1477C22—201no—
1478C22—201no—
1479C22—201no—
1480C22—201no—
1481C22—201no—
1482C22—201no—
1483C22—201no—
1484C22—201no—
1485C22—201no—
1486C22—201no—
1487C22—201no—
1488C22—201no—
1489C22—201no—
1490C22—201no—
1491C22—201no—
1492C22—201no—
1493C22—201no—
1494C22—201no—
1495C22#6602614yes—
1496C22C2×#414411yescharacteristic
1497C22C2×#414711yescharacteristic
1498C22C2×D5×#4111yescharacteristic
1499C22C2×#414911yescharacteristic
1500C22#6628311yescharacteristic
1501C22D5×H(5,𝔽2)11yescharacteristic
1502C22#6628711yescharacteristic
1503C4—22no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—102no—
1518C4—201no—
1519C4—201no—
1520C4—201no—
1521C4—201no—
1522C4—201no—
1523C4—201no—
1524C4—201no—
1525C4—201no—
1526C4—201no—
1527C4—201no—
1528C4—201no—
1529C2—24no—
1530C2—202no—
1531C2—202no—
1532C2—401no—
1533C2—401no—
1534C2#1061794511yescharacteristic
1535C2C2×#6602611yescharacteristic
1536C2#1061835511yescharacteristic
1537C2#1061856811yescharacteristic
1538C2#1061865511yescharacteristic
1539C2#1061876511yescharacteristic
1540C2#1061883911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2473C2
prime radical#10605779C2
hypercenter#2473D5
hypocenterC5#36757
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2473

Complements

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

NH ≅ G/Ntype
1. C5×#2473C2semidirect
2. #10614801C2semidirect
3. #10614799C2semidirect
4. #10613926C2semidirect
5. C2×#65278C2semidirect
6. #10610122C2semidirect
7. #10610021C2semidirect
8. #10609733C2semidirect
9. #10609726C2semidirect
10. #10609713C2semidirect
11. #10609701C2semidirect
12. #10609610C2semidirect
13. #10609601C2semidirect
14. #10608011C2semidirect
15. #10607852C2semidirect
16. #10607150C2semidirect
17. #10606973C2semidirect
18. #10606947C2semidirect
19. #10606881C2semidirect
20. #10606386C2semidirect
21. #10606350C2semidirect
22. #10606350C2semidirect
23. #10606323C2semidirect
24. #10606196C2semidirect
25. #10606155C2semidirect
26. #10606152C2semidirect
27. #10606150C2semidirect
29. #10605658C2semidirect
30. #10605300C2semidirect
31. #10605234C2semidirect
33. C2×C5×#125C22semidirect
42. C2×#4042C22semidirect
45. C2×#4040C22semidirect
50. C2×#4022C22semidirect
51. C5×#400C22semidirect
52. C5×#398C22semidirect
53. C5×#398C22semidirect
54. C5×#398C22semidirect
55. C5×#389C22semidirect
56. C5×#387C22semidirect
57. C5×#387C22semidirect
70. #65283C22semidirect
75. #65282C22semidirect
76. #65282C22semidirect
77. #65282C22semidirect
78. #65281C22semidirect
79. #65281C22semidirect
84. #65280C22semidirect
85. #65280C22semidirect
88. #65279C22semidirect
89. #65279C22semidirect
90. #65279C22semidirect
101. #65278C22semidirect
106. #65276C22semidirect
107. #65273C22semidirect
108. #65273C22semidirect
109. #65272C22semidirect
110. #65271C22semidirect
111. #65271C22semidirect
112. #65270C22semidirect
113. #65270C22semidirect
114. #65270C22semidirect
115. #65268C22semidirect
116. #65267C22semidirect
117. #65263C22semidirect
118. #65261C22semidirect
119. #65261C22semidirect
134. #65229C22semidirect
137. #65222C22semidirect
138. #65222C22semidirect
139. #64965C22semidirect
140. #64965C22semidirect
145. #64964C22semidirect
146. #64964C22semidirect
147. #64964C22semidirect
148. #64962C22semidirect
157. #64958C22semidirect
160. #64957C22semidirect
161. #64957C22semidirect
172. #64954C22semidirect
173. #64953C22semidirect
174. C5⋊#401C22semidirect
175. #64949C22semidirect
176. #64948C22semidirect
177. #64948C22semidirect
178. #64947C22semidirect
179. #64947C22semidirect
180. #64947C22semidirect
181. #64946C22semidirect
182. #64942C22semidirect
183. #64942C22semidirect
184. #64941C22semidirect
185. #64940C22semidirect
186. #64939C22semidirect
387. #2473D5semidirect
582. C2×#125C2×D5semidirect
608. #400C2×D5semidirect
615. #398C2×D5semidirect
616. #398C2×D5semidirect
617. #398C2×D5semidirect
654. #389C2×D5semidirect
677. #387C2×D5semidirect
678. #387C2×D5semidirect
1459. C5#36757semidirect

Maximal subgroups

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

subgroupindex
C5×#24732
#106148012
#106147992
#106139262
C2×#652782
#106101222
#106100212
#106097332
#106097262
#106097132
#106097012
#106096102
#106096012
#106080112
#106078522
#106071502
#106069732
#106069472
#106068812
#106063862
#106063502
#106063232
#106061962
#106061552
#106061522
#106061502
#106057792
#106056582
#106053002
#106052342
#367575