Finite Group Databasebeta

← #12307755

Subgroups — #12307755

Order 1280.

1742 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2627C211yesmaximal, characteristic, complemented
2#10614547C211yesmaximal, characteristic, complemented
3#10614496C211yesmaximal, characteristic, complemented
4#10613931C211yesmaximal, characteristic, complemented
5C2×#65279C211yesmaximal, characteristic, complemented
6#10610115C211yesmaximal, characteristic, complemented
7#10610113C211yesmaximal, characteristic, complemented
8#10610021C211yesmaximal, characteristic, complemented
9#10610005C211yesmaximal, characteristic, complemented
10#10609732C211yesmaximal, characteristic, complemented
11#10609725C211yesmaximal, characteristic, complemented
12#10609724C211yesmaximal, characteristic, complemented
13#10609718C211yesmaximal, characteristic, complemented
14#10609625C211yesmaximal, characteristic, complemented
15#10609604C211yesmaximal, characteristic, complemented
16#10609580C211yesmaximal, characteristic, complemented
17#10609579C211yesmaximal, characteristic, complemented
18#10609002C211yesmaximal, characteristic, complemented
19#10609000C211yesmaximal, characteristic, complemented
20#10608953C211yesmaximal, characteristic, complemented
21#10608945C211yesmaximal, characteristic, complemented
22#10606323C211yesmaximal, characteristic
23#10606322C211yesmaximal, characteristic, complemented
24#10606318C211yesmaximal, characteristic, complemented
25#10606317C211yesmaximal, characteristic, complemented
26#10605861C211yesmaximal, characteristic, complemented
27#10605857C211yesmaximal, characteristic
28#10605809C211yesmaximal, characteristic, complemented
29#10605796C211yesmaximal, characteristic, complemented
30#10605749C211yesmaximal, characteristic
31#10605658C211yesmaximal, characteristic, complemented
32C2×C5×C22⋊Q8C2211yescharacteristic
33C22×C5×C4⋊C4C2211yescharacteristic
34C2×#4092C2211yescharacteristic
35C2×#4075C2211yescharacteristic
36C22×#685C2211yescharacteristic
37C22×#685C2211yescharacteristic
38C22×#685C2211yescharacteristic
39C22×C4×Dic5C2211yescharacteristic
40C2×#4044C2211yescharacteristic, complemented
41C2×#4040C2211yescharacteristic
42C2×#4035C2211yescharacteristic, complemented
43C2×#4028C2211yescharacteristic
44C2×#4027C2211yescharacteristic
45C2×D5×C22⋊C4C2211yescharacteristic
46C2×D5×C22⋊C4C2211yescharacteristic
47C5×#400C2211yescharacteristic, complemented
48C5×#400C2211yescharacteristic, complemented
49C5×#398C2211yescharacteristic, complemented
50C5×#398C2211yescharacteristic, complemented
51C5×#398C2211yescharacteristic, complemented
52C5×#398C2211yescharacteristic, complemented
53C5×#395C2211yescharacteristic, complemented
54C5×#395C2211yescharacteristic, complemented
55C5×#385C2211yescharacteristic
56C5×#385C2211yescharacteristic
57C5×#381C2211yescharacteristic
58C5×#381C2211yescharacteristic
59C5×#380C2211yescharacteristic
60#65520C2211yescharacteristic
61#65520C2211yescharacteristic, complemented
62#65519C2211yescharacteristic, complemented
63#65502C2211yescharacteristic
64#65502C2211yescharacteristic
65#65500C2211yescharacteristic
66#65499C2211yescharacteristic
67#65499C2211yescharacteristic
68C2×#3963C2211yescharacteristic
69C2×#3963C2211yescharacteristic
70#65283C2211yescharacteristic
71#65283C2211yescharacteristic
72#65283C2211yescharacteristic, complemented
73#65282C2211yescharacteristic
74#65282C2211yescharacteristic, complemented
75#65282C2211yescharacteristic, complemented
76#65281C2211yescharacteristic
77#65281C2211yescharacteristic, complemented
78#65281C2211yescharacteristic, complemented
79#65280C2211yescharacteristic
80#65279C2211yescharacteristic
81#65279C2211yescharacteristic
82#65279C2211yescharacteristic
83#65279C2211yescharacteristic
84#65279C2211yescharacteristic
85#65279C2211yescharacteristic
86#65279C2211yescharacteristic
87#65279C2211yescharacteristic
88#65279C2211yescharacteristic
89#65279C2211yescharacteristic
90#65279C2211yescharacteristic, complemented
91#65278C2211yescharacteristic
92#65278C2211yescharacteristic
93#65278C2211yescharacteristic
94#65278C2211yescharacteristic
95#65278C2211yescharacteristic
96#65278C2211yescharacteristic, complemented
97#65277C2211yescharacteristic
98#65277C2211yescharacteristic
99#65276C2211yescharacteristic
100#65276C2211yescharacteristic
101#65276C2211yescharacteristic
102#65276C2211yescharacteristic, complemented
103#65273C2211yescharacteristic, complemented
104#65273C2211yescharacteristic, complemented
105#65271C2211yescharacteristic, complemented
106#65271C2211yescharacteristic, complemented
107#65271C2211yescharacteristic, complemented
108#65271C2211yescharacteristic, complemented
109#65270C2211yescharacteristic, complemented
110#65270C2211yescharacteristic, complemented
111#65270C2211yescharacteristic, complemented
112#65269C2211yescharacteristic, complemented
113#65269C2211yescharacteristic, complemented
114#65267C2211yescharacteristic, complemented
115#65267C2211yescharacteristic, complemented
116#65267C2211yescharacteristic, complemented
117#65261C2211yescharacteristic, complemented
118#65261C2211yescharacteristic, complemented
119#65247C2211yescharacteristic
120#65247C2211yescharacteristic
121#65244C2211yescharacteristic
122#65239C2211yescharacteristic
123#65239C2211yescharacteristic
124#65239C2211yescharacteristic
125#65235C2211yescharacteristic
126#65235C2211yescharacteristic
127#65235C2211yescharacteristic
128#65231C2211yescharacteristic
129#65231C2211yescharacteristic
130C22⋊C4×Dic5C2211yescharacteristic
131#64964C2211yescharacteristic
132#64964C2211yescharacteristic
133#64964C2211yescharacteristic
134#64964C2211yescharacteristic
135#64964C2211yescharacteristic
136#64964C2211yescharacteristic, complemented
137#64963C2211yescharacteristic
138#64963C2211yescharacteristic
139#64963C2211yescharacteristic, complemented
140#64961C2211yescharacteristic
141#64961C2211yescharacteristic
142#64961C2211yescharacteristic
143#64959C2211yescharacteristic, complemented
144#64958C2211yescharacteristic
145#64958C2211yescharacteristic
146#64958C2211yescharacteristic, complemented
147#64957C2211yescharacteristic
148#64957C2211yescharacteristic
149#64957C2211yescharacteristic
150#64957C2211yescharacteristic
151#64957C2211yescharacteristic, complemented
152#64956C2211yescharacteristic
153#64956C2211yescharacteristic
154#64956C2211yescharacteristic
155#64956C2211yescharacteristic
156#64954C2211yescharacteristic
157#64954C2211yescharacteristic
158#64954C2211yescharacteristic
159#64954C2211yescharacteristic
160#64954C2211yescharacteristic
161#64953C2211yescharacteristic
162#64953C2211yescharacteristic
163#64953C2211yescharacteristic
164#64953C2211yescharacteristic, complemented
165C5⋊#401C2211yescharacteristic, complemented
166#64949C2211yescharacteristic, complemented
167#64948C2211yescharacteristic, complemented
168#64948C2211yescharacteristic, complemented
169#64947C2211yescharacteristic, complemented
170#64947C2211yescharacteristic, complemented
171#64947C2211yescharacteristic, complemented
172#64946C2211yescharacteristic, complemented
173#64944C2211yescharacteristic, complemented
174#64943C2211yescharacteristic, complemented
175#64943C2211yescharacteristic, complemented
176#64942C2211yescharacteristic, complemented
177#64942C2211yescharacteristic, complemented
178#64942C2211yescharacteristic, complemented
179#64941C2211yescharacteristic, complemented
180#64941C2211yescharacteristic, complemented
181#64941C2211yescharacteristic, complemented
182#64940C2211yescharacteristic, complemented
183#64940C2211yescharacteristic, complemented
184#64939C2211yescharacteristic, complemented
185#64939C2211yescharacteristic, complemented
186#64936C2211yescharacteristic, complemented
187#36780—51nomaximal, Sylow
188C24×D5C2311yescharacteristic
189C22×C5×Q8C2311yescharacteristic
190C23×C4×C5C2311yescharacteristic
191C23×C4×C5C2311yescharacteristic
192C23×C4×C5C2311yescharacteristic
193C22×C22⋊D5C2311yescharacteristic
194C23×Dic5C2311yescharacteristic
195C23×Dic5C2311yescharacteristic
196C23×Dic5C2311yescharacteristic
197C22×D20C2311yescharacteristic
198C22×D20C2311yescharacteristic
199C22×C4×D5C2311yescharacteristic
200C22×C4×D5C2311yescharacteristic
201C22×C4×D5C2311yescharacteristic
202C22×C4×D5C2311yescharacteristic
203C22×C4×D5C2311yescharacteristic
204C5×C22⋊Q8—42no—
205C2×C5×C4⋊C4—42no—
206C2×C5×C4⋊C4C2311yescharacteristic
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×C4⋊C4C2311yescharacteristic
216C2×C5×C4⋊C4C2311yescharacteristic
217C2×C5×C4⋊C4C2311yescharacteristic
218C2×C5×C4⋊C4C2311yescharacteristic
219C2×C5×C22⋊C4C2311yescharacteristic
220C2×C5×C22⋊C4C2311yescharacteristic
221C2×C5×C22⋊C4C2311yescharacteristic
222C2×C5×C22⋊C4C2311yescharacteristic
223C2×C22⋊Dic5C2311yescharacteristic
224C2×C22⋊Dic5C2311yescharacteristic
225C2×C22⋊Dic5C2311yescharacteristic
226#4092—42no—
227#4075—42no—
228C2×#685—24no—
229C2×#685—42no—
230C2×#685—42no—
231C2×#685C2311yescharacteristic
232C2×#685C2311yescharacteristic
233C2×#685C2311yescharacteristic
234C2×#685C2311yescharacteristic
235C2×#685C2311yescharacteristic
236C2×#685C2311yescharacteristic
237C2×#685C2311yescharacteristic
238C2×#685C2311yescharacteristic
239C2×#685C2311yescharacteristic
240C2×#685C2311yescharacteristic
241C2×#685C2311yescharacteristic
242C2×#685C2311yescharacteristic
243C2×#685C2311yescharacteristic
244C2×#685C2311yescharacteristic
245C2×#685C2311yescharacteristic
246C2×#685C2311yescharacteristic
247C2×#685C2311yescharacteristic
248C2×#685C2311yescharacteristic
249C2×#685C2311yescharacteristic
250C2×#685C2311yescharacteristic
251C2×#685C2311yescharacteristic
252C2×#685C2311yescharacteristic
253C2×#685C2311yescharacteristic
254C2×#685C2311yescharacteristic
255C2×#685C2311yescharacteristic
256C2×#685C2311yescharacteristic
257C2×#685C2311yescharacteristic
258C2×#685C2311yescharacteristic
259C2×#685C2311yescharacteristic
260C2×#685C2311yescharacteristic
261C2×#685C2311yescharacteristic
262C2×#685C2311yescharacteristic
263C2×#685C2311yescharacteristic
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×C4×Dic5—42no—
288C2×C4×Dic5C2311yescharacteristic
289C2×C4×Dic5C2311yescharacteristic
290C2×C4×Dic5C2311yescharacteristic
291C2×C4×Dic5C2311yescharacteristic
292C2×C4×Dic5C2311yescharacteristic
293C2×C4×Dic5C2311yescharacteristic
294C2×C4×Dic5C2311yescharacteristic
295#4044—42no—
296#4040—42no—
297#4035—42no—
298#4028—24no—
299#4027—42no—
300D5×C22⋊C4—24no—
301D5×C22⋊C4—42no—
302C5×#95C2311yescharacteristic
303C5×#95C2311yescharacteristic
304C5×#95C2311yescharacteristic
305C5×#95C2311yescharacteristic
306C5×#95C2311yescharacteristic
307C5×#95C2311yescharacteristic
308C5×#95C2311yescharacteristic
309C5×#95C2311yescharacteristic
310C5×#95C2311yescharacteristic
311C5×#95C2311yescharacteristic
312C5×#95C2311yescharacteristic
313C5×#95C2311yescharacteristic
314C5×#95C2311yescharacteristic
315C5×#95C2311yescharacteristic
316#3963C2311yescharacteristic
317#3963C2311yescharacteristic
318#3963C2311yescharacteristic
319#3963C2311yescharacteristic
320#3963C2311yescharacteristic
321#3963C2311yescharacteristic
322#3963C2311yescharacteristic
323#3963C2311yescharacteristic
324#3963C2311yescharacteristic
325#3963C2311yescharacteristic
326#3963C2311yescharacteristic
327#3963C2311yescharacteristic
328#3963C2311yescharacteristic
329#3963C2311yescharacteristic
330#3963C2311yescharacteristic
331#3963C2311yescharacteristic
332#3963C2311yescharacteristic
333#3963C2311yescharacteristic
334#3963C2311yescharacteristic
335#3963C2311yescharacteristic
336#3963C2311yescharacteristic
337#3963C2311yescharacteristic
338#3963C2311yescharacteristic
339#3963C2311yescharacteristic
340#3963C2311yescharacteristic
341#3963C2311yescharacteristic
342#3963C2311yescharacteristic
343#3963C2311yescharacteristic
344#3963C2311yescharacteristic
345#3963C2311yescharacteristic
346#3963C2311yescharacteristic
347#3963C2311yescharacteristic
348#3963C2311yescharacteristic
349#3963C2311yescharacteristic
350#3963C2311yescharacteristic
351#3963C2311yescharacteristic
352#3963C2311yescharacteristic
353#3963C2311yescharacteristic
354#3963C2311yescharacteristic
355#3963C2311yescharacteristic
356#3963C2311yescharacteristic
357#3963C2311yescharacteristic
358#2852—51no—
359#2851—51no—
360#2786—51no—
361#2782—51no—
362#2770—51no—
363#2770—51no—
364#2747—51no—
365#2746—51no—
366#2745—51no—
367#2744—51no—
368#2744—51no—
369#2743—51no—
370#2738—51no—
371#2737—51no—
372#2723—51no—
373#2695—51no—
374#2694—51no—
375#2690—51no—
376#2627D511yescharacteristic, complemented
377#2623—51no—
378#2505—51no—
379#2493—51no—
380#2483—51no—
381#2450—51no—
382#2437—51no—
383#2419—51no—
384#2412—51no—
385#2412—51no—
386#2321—51no—
387#2315—51no—
388C2×#388—51no—
389C24×C5C2411yescharacteristic
390C23×D5—22no—
391C23×D5—22no—
392C23×D5—41no—
393C23×D5—41no—
394C23×D5—41no—
395C23×D5—41no—
396C23×D5#4114yes—
397C23×D5C2411yescharacteristic
398C23×D5C2411yescharacteristic
399C23×D5C2411yescharacteristic
400C2×C5×Q8—41no—
401C2×C5×Q8—41no—
402C2×C5×Q8—41no—
403C22×C4×C5—22no—
404C22×C4×C5—22no—
405C22×C4×C5—22no—
406C22×C4×C5—22no—
407C22×C4×C5—22no—
408C22×C4×C5—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
425C22×C4×C5C2411yescharacteristic
426C2×C22⋊D5—22no—
427C2×C22⋊D5—22no—
428C2×C22⋊D5—22no—
429C22×Dic5—22no—
430C22×Dic5—22no—
431C22×Dic5—22no—
432C22×Dic5—22no—
433C22×Dic5—41no—
434C22×Dic5—41no—
435C22×Dic5—41no—
436C22×Dic5—41no—
437C22×Dic5—41no—
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×D20—22no—
452C2×D20—22no—
453C2×D20—41no—
454C2×D20—41no—
455C2×D20—41no—
456C2×D20—41no—
457C2×C4×D5—22no—
458C2×C4×D5—22no—
459C2×C4×D5—41no—
460C2×C4×D5—41no—
461C2×C4×D5—41no—
462C2×C4×D5—41no—
463C2×C4×D5—41no—
464C2×C4×D5—41no—
465C2×C4×D5—41no—
466C2×C4×D5—41no—
467C2×C4×D5—41no—
468C2×C4×D5—41no—
469C2×C4×D5—41no—
470C2×C4×D5—41no—
471C2×C4×D5—41no—
472C5×C4⋊C4—41no—
473C5×C4⋊C4—41no—
474C5×C4⋊C4—41no—
475C5×C4⋊C4—41no—
476C5×C4⋊C4—41no—
477C5×C4⋊C4—41no—
478C5×C4⋊C4—41no—
479C5×C4⋊C4—41no—
480C5×C4⋊C4—41no—
481C5×C4⋊C4—41no—
482C5×C4⋊C4—41no—
483C5×C4⋊C4—41no—
484C5×C4⋊C4—41no—
485C5×C22⋊C4—22no—
486C5×C22⋊C4—22no—
487C5×C22⋊C4—22no—
488C5×C22⋊C4—22no—
489C22⋊Dic5—22no—
490C22⋊Dic5—22no—
491C22⋊Dic5—22no—
492#685—22no—
493#685—22no—
494#685—22no—
495#685—22no—
496#685—22no—
497#685—22no—
498#685—22no—
499#685—22no—
500#685—22no—
501#685—22no—
502#685—22no—
503#685—41no—
504#685—41no—
505#685—41no—
506#685—41no—
507#685—41no—
508#685—41no—
509#685—41no—
510#685—41no—
511#685—41no—
512#685—41no—
513#685—41no—
514#685—41no—
515#685—41no—
516#685—41no—
517#685—41no—
518#685—41no—
519#685—41no—
520#685—41no—
521#685—41no—
522#685—41no—
523#685—41no—
524#685—41no—
525C4⋊Dic5—22no—
526C4⋊Dic5—41no—
527C4⋊Dic5—41no—
528C4⋊Dic5—41no—
529C4⋊Dic5—41no—
530C4⋊Dic5—41no—
531#683—22no—
532#683—22no—
533#683—41no—
534#683—41no—
535#683—41no—
536#683—41no—
537#683—41no—
538#683—41no—
539#683—41no—
540#683—41no—
541#683—41no—
542#683—41no—
543#683—41no—
544#683—41no—
545#683—41no—
546#683—41no—
547#683—41no—
548C4×Dic5—22no—
549C4×Dic5—22no—
550C4×Dic5—41no—
551C4×Dic5—41no—
552C4×Dic5—41no—
553C4×Dic5—41no—
554C4×Dic5—41no—
555C2×#126—51no—
556C2×#125—51no—
557C2×#123—51no—
558C2×#123—51no—
559C2×C22⋊Q8—51no—
560C2×C22⋊Q8C2×D511yescharacteristic
561C2×#120—51no—
562C2×C4×D4—51no—
563C22×C4⋊C4C2×D511yescharacteristic
564C22×C22⋊C4—51no—
565C22×C22⋊C4—51no—
566C22×C22⋊C4—51no—
567C22×C22⋊C4—51no—
568C22×C22⋊C4—51no—
569C22×C42—51no—
570#401—51no—
571#400—51no—
572#400—51no—
573#400—51no—
574#400—51no—
575#400—51no—
576#400—51no—
577#400—51no—
578#400—51no—
579#400—51no—
580#400—51no—
581#400C2×D511yescharacteristic, complemented
582#400C2×D511yescharacteristic, complemented
583#399—51no—
584#399—51no—
585#399—51no—
586#398—51no—
587#398—51no—
588#398—51no—
589#398—51no—
590#398—51no—
591#398C2×D511yescharacteristic, complemented
592#398C2×D511yescharacteristic, complemented
593#398C2×D511yescharacteristic, complemented
594#398C2×D511yescharacteristic, complemented
595#397—51no—
596#397—51no—
597#397—51no—
598#397—51no—
599#397—51no—
600#397—51no—
601#397—51no—
602#397—51no—
603#397—51no—
604#397—51no—
605#397—51no—
606#397—51no—
607#396—51no—
608#396—51no—
609#396—51no—
610#395C2×D511yescharacteristic, complemented
611#395C2×D511yescharacteristic, complemented
612#394—51no—
613#394—51no—
614#394—51no—
615#394—51no—
616#393—51no—
617#393—51no—
618#391—51no—
619#390—51no—
620#390—51no—
621#389—51no—
622#389—51no—
623#389—51no—
624#388—51no—
625#388—51no—
626#388—51no—
627#388—51no—
628#388—51no—
629#388—51no—
630#388—51no—
631#388—51no—
632#388—51no—
633#388—51no—
634#388—51no—
635#388—51no—
636#388—51no—
637#388—51no—
638#388—51no—
639#387—51no—
640#387—51no—
641#387—51no—
642#387—51no—
643#387—51no—
644#387—51no—
645#387—51no—
646#387—51no—
647#387—51no—
648#387—51no—
649#387—51no—
650#387—51no—
651#387—51no—
652#387—51no—
653#387—51no—
654#386—51no—
655#386—51no—
656#386—51no—
657#386—51no—
658#386—51no—
659#386—51no—
660#386—51no—
661#386—51no—
662#386—51no—
663#385—51no—
664#385—51no—
665#385—51no—
666#385—51no—
667#385—51no—
668#385—51no—
669#385—51no—
670#385—51no—
671#385—51no—
672#385—51no—
673#385—51no—
674#385—51no—
675#385—51no—
676#385—51no—
677#385—51no—
678#385—51no—
679#385—51no—
680#385—51no—
681#385—51no—
682#385C2×D511yescharacteristic
683#385C2×D511yescharacteristic
684#383—51no—
685#383—51no—
686#382—51no—
687#382—51no—
688#381—51no—
689#381—51no—
690#381—51no—
691#381—51no—
692#381—51no—
693#381C2×D511yescharacteristic
694#381C2×D511yescharacteristic
695#380—51no—
696#380—51no—
697#380—51no—
698#380—51no—
699#380—51no—
700#380—51no—
701#380—51no—
702#380—51no—
703#380—51no—
704#380—51no—
705#380C2×D511yescharacteristic
706#379—51no—
707C4×C22⋊C4—51no—
708C2×#95—51no—
709C2×#95—51no—
710C23×C5—21no—
711C23×C5—21no—
712C23×C5—21no—
713C23×C5—21no—
714C23×C5C2×#4112yes—
715C23×C5H(5,𝔽2)12yes—
716C23×C52−1+412yes—
717C23×C5C2511yescharacteristic
718C22×D5—21no—
719C22×D5—21no—
720C22×D5—21no—
721C22×D5—21no—
722C22×D5—21no—
723C22×D5—21no—
724C22×D5—21no—
725C22×D5—21no—
726C22×D5—21no—
727C22×D5—21no—
728C22×D5—21no—
729C22×D5—21no—
730C22×D5—28no—
731C22×D5—21no—
732C22×D5—21no—
733C22×D5—21no—
734C22×D5—21no—
735C22×D5—21no—
736C22×D5—21no—
737C22×D5—21no—
738C22×D5—44no—
739C22×D5—44no—
740C22×D5—82no—
741C22×D5—82no—
742C22×D5—82no—
743C22×D5—82no—
744C22×D5C2×#4112yes—
745C22×D5C2×#4112yes—
746C5×Q8—82no—
747C2×C4×C5—21no—
748C2×C4×C5—21no—
749C2×C4×C5—21no—
750C2×C4×C5—21no—
751C2×C4×C5—21no—
752C2×C4×C5—21no—
753C2×C4×C5—21no—
754C2×C4×C5—21no—
755C2×C4×C5—21no—
756C2×C4×C5—21no—
757C2×C4×C5—21no—
758C2×C4×C5—21no—
759C2×C4×C5—21no—
760C2×C4×C5—21no—
761C2×C4×C5—21no—
762C2×C4×C5—21no—
763C2×C4×C5—21no—
764C2×C4×C5—21no—
765C2×C4×C5—21no—
766C2×C4×C5—21no—
767C2×C4×C5—21no—
768C2×C4×C5—21no—
769C2×C4×C5—21no—
770C2×C4×C5—21no—
771C2×C4×C5—21no—
772C2×C4×C5—21no—
773C2×C4×C5—21no—
774C2×C4×C5—21no—
775C2×C4×C5—21no—
776C2×C4×C5—21no—
777C2×C4×C5—21no—
778C2×C4×C5—21no—
779C2×C4×C5—21no—
780C2×C4×C5—21no—
781C2×C4×C5—21no—
782C2×C4×C5—21no—
783C2×C4×C5—21no—
784C2×C4×C5—21no—
785C2×C4×C5—21no—
786C2×C4×C5—21no—
787C2×C4×C5—21no—
788C2×C4×C5—21no—
789C2×C4×C5—44no—
790C2×C4×C5—44no—
791C2×C4×C5—82no—
792C22⋊D5—44no—
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×Dic5H(5,𝔽2)12yes—
835D20—82no—
836D20—82no—
837C4×D5—82no—
838C4×D5—82no—
839C4×D5—82no—
840C4×D5—82no—
841C4×D5—82no—
842C25—51no—
843C22×Q8C22×D511yescharacteristic
844C22×D4—51no—
845C22×D4—51no—
846C22×D4—51no—
847C23×C4—51no—
848C23×C4—51no—
849C23×C4—51no—
850C23×C4—51no—
851C23×C4—51no—
852C23×C4—51no—
853C23×C4—51no—
854C23×C4—51no—
855C23×C4C22×D511yescharacteristic
856C23×C4C22×D511yescharacteristic
857C23×C4C22×D511yescharacteristic
858#126—202no—
859#125—202no—
860#123—202no—
861#123—202no—
862C22⋊Q8—42no—
863C22⋊Q8—202no—
864#120—104no—
865C4×D4—202no—
866C2×C4⋊C4—42no—
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⋊C4C22×D511yescharacteristic
891C2×C4⋊C4C22×D511yescharacteristic
892C2×C4⋊C4C22×D511yescharacteristic
893C2×C4⋊C4C22×D511yescharacteristic
894C2×C4⋊C4C22×D511yescharacteristic
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×C4⋊C4C22×D511yescharacteristic
902C2×C4⋊C4C22×D511yescharacteristic
903C2×C22⋊C4—51no—
904C2×C22⋊C4—51no—
905C2×C22⋊C4—51no—
906C2×C22⋊C4—51no—
907C2×C22⋊C4—51no—
908C2×C22⋊C4—51no—
909C2×C22⋊C4—51no—
910C2×C22⋊C4—51no—
911C2×C22⋊C4—51no—
912C2×C22⋊C4—51no—
913C2×C22⋊C4—51no—
914C2×C22⋊C4—51no—
915C2×C22⋊C4—51no—
916C2×C22⋊C4—51no—
917C2×C22⋊C4—51no—
918C2×C22⋊C4—51no—
919C2×C22⋊C4—51no—
920C2×C22⋊C4—51no—
921C2×C22⋊C4—51no—
922C2×C22⋊C4—51no—
923C2×C22⋊C4—51no—
924C2×C22⋊C4—51no—
925C2×C22⋊C4—51no—
926C2×C22⋊C4—51no—
927C2×C22⋊C4—51no—
928C2×C22⋊C4—51no—
929C2×C22⋊C4—51no—
930C2×C22⋊C4—51no—
931C2×C22⋊C4—51no—
932C2×C22⋊C4—51no—
933C2×C22⋊C4—51no—
934C2×C22⋊C4—51no—
935C2×C22⋊C4—51no—
936C2×C22⋊C4—51no—
937C2×C22⋊C4—51no—
938C2×C22⋊C4—51no—
939C2×C22⋊C4—104no—
940C2×C22⋊C4—104no—
941C2×C22⋊C4—202no—
942C2×C22⋊C4—202no—
943C2×C22⋊C4—202no—
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—202no—
956#95—51no—
957#95—51no—
958#95—51no—
959#95—51no—
960#95—51no—
961#95—51no—
962#95—51no—
963#95—51no—
964#95—51no—
965#95—51no—
966#95—51no—
967#95—51no—
968#95—51no—
969#95—51no—
970#95—51no—
971#95—51no—
972#95—51no—
973#95—51no—
974#95—51no—
975#95—51no—
976#95—51no—
977#95—51no—
978#95—51no—
979#95—51no—
980#95—51no—
981#95—51no—
982#95—51no—
983#95—51no—
984#95—51no—
985#95—51no—
986#95—51no—
987#95—51no—
988#95—51no—
989#95—51no—
990#95—51no—
991#95—51no—
992#95—51no—
993#95—51no—
994#95—51no—
995#95—51no—
996#95—51no—
997#95—51no—
998#95C22×D511yescharacteristic
999#95C22×D511yescharacteristic
1000#95C22×D511yescharacteristic
1001#95C22×D511yescharacteristic
1002#95C22×D511yescharacteristic
1003#95C22×D511yescharacteristic
1004#95C22×D511yescharacteristic
1005#95C22×D511yescharacteristic
1006#95C22×D511yescharacteristic
1007#95C22×D511yescharacteristic
1008#95C22×D511yescharacteristic
1009#95C22×D511yescharacteristic
1010#95C22×D511yescharacteristic
1011#95C22×D511yescharacteristic
1012C22×C5—22no—
1013C22×C5—22no—
1014C22×C5—22no—
1015C22×C5—22no—
1016C22×C5—22no—
1017C22×C5—22no—
1018C22×C5#53914yes—
1019C22×C5C22×#4111yescharacteristic
1020C22×C5C2×H(5,𝔽2)11yescharacteristic
1021C22×C5C2×H(5,𝔽2)11yescharacteristic
1022C22×C5C2×2−1+411yescharacteristic
1023C22×C5#58511yescharacteristic
1024C22×C5#58511yescharacteristic
1025C22×C5#58511yescharacteristic
1026C2×D5—22no—
1027C2×D5—22no—
1028C2×D5—22no—
1029C2×D5—22no—
1030C2×D5—22no—
1031C2×D5—22no—
1032C2×D5—41no—
1033C2×D5—41no—
1034C2×D5—41no—
1035C2×D5—41no—
1036C2×D5—41no—
1037C2×D5—41no—
1038C2×D5—41no—
1039C2×D5—41no—
1040C2×D5—41no—
1041C2×D5—41no—
1042C2×D5—41no—
1043C2×D5—41no—
1044C2×D5—41no—
1045C2×D5—41no—
1046C2×D5—41no—
1047C2×D5—88no—
1048C4×C5—41no—
1049C4×C5—41no—
1050C4×C5—41no—
1051C4×C5—41no—
1052C4×C5—41no—
1053C4×C5—41no—
1054C4×C5—41no—
1055C4×C5—41no—
1056C4×C5—41no—
1057C4×C5—41no—
1058C4×C5—41no—
1059C4×C5—41no—
1060C4×C5—41no—
1061C4×C5—41no—
1062Dic5—22no—
1063Dic5—41no—
1064Dic5—41no—
1065Dic5—41no—
1066Dic5—41no—
1067Dic5—41no—
1068Dic5—41no—
1069Dic5—41no—
1070Dic5—41no—
1071Dic5—41no—
1072Dic5—41no—
1073Dic5—41no—
1074Dic5—41no—
1075C24—51no—
1076C24—51no—
1077C24—54no—
1078C24—51no—
1079C24—102no—
1080C24—102no—
1081C24—201no—
1082C24—201no—
1083C24—201no—
1084C24—201no—
1085C24C23×D511yescharacteristic
1086C2×Q8—41no—
1087C2×Q8—41no—
1088C2×Q8—41no—
1089C2×D4—102no—
1090C2×D4—102no—
1091C2×D4—102no—
1092C2×D4—102no—
1093C2×D4—102no—
1094C2×D4—201no—
1095C2×D4—201no—
1096C2×D4—201no—
1097C2×D4—201no—
1098C22×C4—22no—
1099C22×C4—22no—
1100C22×C4—22no—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—41no—
1104C22×C4—41no—
1105C22×C4—41no—
1106C22×C4—41no—
1107C22×C4—51no—
1108C22×C4—51no—
1109C22×C4—51no—
1110C22×C4—51no—
1111C22×C4—51no—
1112C22×C4—51no—
1113C22×C4—51no—
1114C22×C4—51no—
1115C22×C4—51no—
1116C22×C4—51no—
1117C22×C4—51no—
1118C22×C4—51no—
1119C22×C4—51no—
1120C22×C4—102no—
1121C22×C4—102no—
1122C22×C4—102no—
1123C22×C4—102no—
1124C22×C4—102no—
1125C22×C4—102no—
1126C22×C4—201no—
1127C22×C4—201no—
1128C22×C4—201no—
1129C22×C4—201no—
1130C22×C4—201no—
1131C22×C4—201no—
1132C22×C4—201no—
1133C22×C4—201no—
1134C22×C4—201no—
1135C22×C4—201no—
1136C22×C4—201no—
1137C22×C4—201no—
1138C22×C4—201no—
1139C22×C4—201no—
1140C22×C4—201no—
1141C22×C4—201no—
1142C22×C4—201no—
1143C22×C4—201no—
1144C22×C4C23×D511yescharacteristic
1145C22×C4C23×D511yescharacteristic
1146C22×C4C23×D511yescharacteristic
1147C22×C4C23×D511yescharacteristic
1148C22×C4C23×D511yescharacteristic
1149C22×C4C23×D511yescharacteristic
1150C22×C4C23×D511yescharacteristic
1151C22×C4C23×D511yescharacteristic
1152C22×C4C23×D511yescharacteristic
1153C22×C4C23×D511yescharacteristic
1154C22×C4C23×D511yescharacteristic
1155C22×C4C23×D511yescharacteristic
1156C22×C4C23×D511yescharacteristic
1157C22×C4C23×D511yescharacteristic
1158C4⋊C4—41no—
1159C4⋊C4—41no—
1160C4⋊C4—41no—
1161C4⋊C4—41no—
1162C4⋊C4—41no—
1163C4⋊C4—41no—
1164C4⋊C4—41no—
1165C4⋊C4—41no—
1166C4⋊C4—41no—
1167C4⋊C4—41no—
1168C4⋊C4—41no—
1169C4⋊C4—41no—
1170C4⋊C4—41no—
1171C4⋊C4—102no—
1172C4⋊C4—102no—
1173C4⋊C4—102no—
1174C4⋊C4—201no—
1175C4⋊C4—201no—
1176C4⋊C4—201no—
1177C4⋊C4—201no—
1178C4⋊C4—201no—
1179C4⋊C4—201no—
1180C4⋊C4—201no—
1181C4⋊C4—201no—
1182C4⋊C4—201no—
1183C4⋊C4—201no—
1184C4⋊C4—201no—
1185C4⋊C4—201no—
1186C4⋊C4—201no—
1187C4⋊C4—201no—
1188C4⋊C4—201no—
1189C4⋊C4—201no—
1190C4⋊C4—201no—
1191C4⋊C4—201no—
1192C4⋊C4—201no—
1193C4⋊C4—201no—
1194C22⋊C4—22no—
1195C22⋊C4—22no—
1196C22⋊C4—22no—
1197C22⋊C4—22no—
1198C22⋊C4—102no—
1199C22⋊C4—102no—
1200C22⋊C4—102no—
1201C22⋊C4—102no—
1202C22⋊C4—102no—
1203C22⋊C4—102no—
1204C22⋊C4—102no—
1205C22⋊C4—102no—
1206C22⋊C4—102no—
1207C22⋊C4—102no—
1208C22⋊C4—102no—
1209C22⋊C4—102no—
1210C22⋊C4—102no—
1211C22⋊C4—102no—
1212C22⋊C4—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—
1226C22⋊C4—201no—
1227C22⋊C4—201no—
1228C22⋊C4—201no—
1229C22⋊C4—201no—
1230C22⋊C4—201no—
1231C22⋊C4—201no—
1232C22⋊C4—201no—
1233C22⋊C4—201no—
1234C42—102no—
1235C42—102no—
1236C42—201no—
1237C42—201no—
1238C42—201no—
1239C42—201no—
1240C42—201no—
1241C2×C5—24no—
1242C2×C5C2×#53911yescharacteristic
1243C2×C5#349111yescharacteristic
1244C2×C5#350511yescharacteristic
1245C2×C5#353511yescharacteristic
1246C2×C5#354211yescharacteristic
1247C2×C5#354511yescharacteristic
1248C2×C5#356411yescharacteristic
1249D5—42no—
1250D5—42no—
1251D5—81no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—52no—
1257C23—52no—
1258C23—101no—
1259C23—101no—
1260C23—101no—
1261C23—101no—
1262C23—101no—
1263C23—101no—
1264C23—101no—
1265C23—101no—
1266C23—101no—
1267C23—101no—
1268C23—101no—
1269C23—101no—
1270C23—108no—
1271C23—101no—
1272C23—101no—
1273C23—101no—
1274C23—101no—
1275C23—101no—
1276C23—101no—
1277C23—101no—
1278C23—204no—
1279C23—204no—
1280C23—402no—
1281C23—402no—
1282C23—402no—
1283C23—402no—
1284C23#414412yes—
1285C23#414712yes—
1286C23D5×#4112yes—
1287C23C24×D511yescharacteristic
1288Q8—82no—
1289D4—204no—
1290D4—402no—
1291D4—402no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—44no—
1335C2×C4—44no—
1336C2×C4—52no—
1337C2×C4—82no—
1338C2×C4—101no—
1339C2×C4—101no—
1340C2×C4—101no—
1341C2×C4—101no—
1342C2×C4—101no—
1343C2×C4—101no—
1344C2×C4—101no—
1345C2×C4—101no—
1346C2×C4—101no—
1347C2×C4—101no—
1348C2×C4—101no—
1349C2×C4—101no—
1350C2×C4—101no—
1351C2×C4—101no—
1352C2×C4—101no—
1353C2×C4—101no—
1354C2×C4—101no—
1355C2×C4—101no—
1356C2×C4—101no—
1357C2×C4—101no—
1358C2×C4—101no—
1359C2×C4—101no—
1360C2×C4—101no—
1361C2×C4—101no—
1362C2×C4—101no—
1363C2×C4—101no—
1364C2×C4—101no—
1365C2×C4—101no—
1366C2×C4—101no—
1367C2×C4—101no—
1368C2×C4—101no—
1369C2×C4—101no—
1370C2×C4—101no—
1371C2×C4—101no—
1372C2×C4—101no—
1373C2×C4—101no—
1374C2×C4—101no—
1375C2×C4—101no—
1376C2×C4—204no—
1377C2×C4—204no—
1378C2×C4—402no—
1379C2×C4—402no—
1380C2×C4—402no—
1381C2×C4—402no—
1382C2×C4—402no—
1383C2×C4—402no—
1384C5#3678011yescharacteristic, complemented, Sylow
1385C22—22no—
1386C22—22no—
1387C22—22no—
1388C22—22no—
1389C22—22no—
1390C22—22no—
1391C22—102no—
1392C22—102no—
1393C22—102no—
1394C22—102no—
1395C22—102no—
1396C22—102no—
1397C22—201no—
1398C22—201no—
1399C22—201no—
1400C22—201no—
1401C22—201no—
1402C22—201no—
1403C22—201no—
1404C22—201no—
1405C22—201no—
1406C22—201no—
1407C22—201no—
1408C22—201no—
1409C22—201no—
1410C22—201no—
1411C22—201no—
1412C22—408no—
1413C22#6597214yes—
1414C22C2×#414411yescharacteristic
1415C22C2×#414711yescharacteristic
1416C22C2×D5×#4111yescharacteristic
1417C22D5×H(5,𝔽2)11yescharacteristic
1418C22#6628511yescharacteristic
1419C22#6628711yescharacteristic
1420C22#6628711yescharacteristic
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C4—41no—
1435C4—102no—
1436C4—201no—
1437C4—201no—
1438C4—201no—
1439C4—201no—
1440C4—201no—
1441C4—201no—
1442C4—201no—
1443C4—201no—
1444C4—201no—
1445C4—201no—
1446C4—201no—
1447C4—201no—
1448C2—24no—
1449C2—202no—
1450C2—202no—
1451C2—401no—
1452C2C2×#6597211yescharacteristic
1453C2#1061820311yescharacteristic
1454C2#1061824811yescharacteristic
1455C2#1061835411yescharacteristic
1456C2#1061835511yescharacteristic
1457C2#1061849311yescharacteristic
1458C2#1061850111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2627C2
prime radicalC2×#4028C22
hypercenter#2627D5
hypocenterC5#36780
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2627

Complements

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

NH ≅ G/Ntype
1. C5×#2627C2semidirect
2. #10614547C2semidirect
3. #10614496C2semidirect
4. #10613931C2semidirect
5. C2×#65279C2semidirect
6. #10610115C2semidirect
7. #10610113C2semidirect
8. #10610021C2semidirect
9. #10610005C2semidirect
10. #10609732C2semidirect
11. #10609725C2semidirect
12. #10609724C2semidirect
13. #10609718C2semidirect
14. #10609625C2semidirect
15. #10609604C2semidirect
16. #10609580C2semidirect
17. #10609579C2semidirect
18. #10609002C2semidirect
19. #10609000C2semidirect
20. #10608953C2semidirect
21. #10608945C2semidirect
23. #10606322C2semidirect
24. #10606318C2semidirect
25. #10606317C2semidirect
26. #10605861C2semidirect
28. #10605809C2semidirect
29. #10605796C2semidirect
31. #10605658C2semidirect
40. C2×#4044C22semidirect
42. C2×#4035C22semidirect
47. C5×#400C22semidirect
48. C5×#400C22semidirect
49. C5×#398C22semidirect
50. C5×#398C22semidirect
51. C5×#398C22semidirect
52. C5×#398C22semidirect
53. C5×#395C22semidirect
54. C5×#395C22semidirect
61. #65520C22semidirect
62. #65519C22semidirect
72. #65283C22semidirect
74. #65282C22semidirect
75. #65282C22semidirect
77. #65281C22semidirect
78. #65281C22semidirect
90. #65279C22semidirect
96. #65278C22semidirect
102. #65276C22semidirect
103. #65273C22semidirect
104. #65273C22semidirect
105. #65271C22semidirect
106. #65271C22semidirect
107. #65271C22semidirect
108. #65271C22semidirect
109. #65270C22semidirect
110. #65270C22semidirect
111. #65270C22semidirect
112. #65269C22semidirect
113. #65269C22semidirect
114. #65267C22semidirect
115. #65267C22semidirect
116. #65267C22semidirect
117. #65261C22semidirect
118. #65261C22semidirect
136. #64964C22semidirect
139. #64963C22semidirect
143. #64959C22semidirect
146. #64958C22semidirect
151. #64957C22semidirect
164. #64953C22semidirect
165. C5⋊#401C22semidirect
166. #64949C22semidirect
167. #64948C22semidirect
168. #64948C22semidirect
169. #64947C22semidirect
170. #64947C22semidirect
171. #64947C22semidirect
172. #64946C22semidirect
173. #64944C22semidirect
174. #64943C22semidirect
175. #64943C22semidirect
176. #64942C22semidirect
177. #64942C22semidirect
178. #64942C22semidirect
179. #64941C22semidirect
180. #64941C22semidirect
181. #64941C22semidirect
182. #64940C22semidirect
183. #64940C22semidirect
184. #64939C22semidirect
185. #64939C22semidirect
186. #64936C22semidirect
376. #2627D5semidirect
581. #400C2×D5semidirect
582. #400C2×D5semidirect
591. #398C2×D5semidirect
592. #398C2×D5semidirect
593. #398C2×D5semidirect
594. #398C2×D5semidirect
610. #395C2×D5semidirect
611. #395C2×D5semidirect
1384. C5#36780semidirect

Maximal subgroups

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

subgroupindex
C5×#26272
#106145472
#106144962
#106139312
C2×#652792
#106101152
#106101132
#106100212
#106100052
#106097322
#106097252
#106097242
#106097182
#106096252
#106096042
#106095802
#106095792
#106090022
#106090002
#106089532
#106089452
#106063232
#106063222
#106063182
#106063172
#106058612
#106058572
#106058092
#106057962
#106057492
#106056582
#367805