Finite Group Databasebeta

← #12308137

Subgroups — #12308137

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×#2473C211yesmaximal, characteristic, complemented
2#10614782C211yesmaximal, characteristic, complemented
3#10614777C211yesmaximal, characteristic, complemented
4C2×#65278C211yesmaximal, characteristic, complemented
5#10613904C211yesmaximal, characteristic, complemented
6#10610127C211yesmaximal, characteristic, complemented
7#10610021C211yesmaximal, characteristic, complemented
8#10609733C211yesmaximal, characteristic, complemented
9#10609724C211yesmaximal, characteristic, complemented
10#10609717C211yesmaximal, characteristic, complemented
11#10609715C211yesmaximal, characteristic, complemented
12#10609700C211yesmaximal, characteristic, complemented
13#10609637C211yesmaximal, characteristic, complemented
14#10608012C211yesmaximal, characteristic, complemented
15#10608000C211yesmaximal, characteristic, complemented
16#10607170C211yesmaximal, characteristic, complemented
17#10607161C211yesmaximal, characteristic, complemented
18#10607123C211yesmaximal, characteristic, complemented
19#10606969C211yesmaximal, characteristic, complemented
20#10606387C211yesmaximal, characteristic
21#10606356C211yesmaximal, characteristic, complemented
22#10606345C211yesmaximal, characteristic, complemented
23#10606334C211yesmaximal, characteristic
24#10606333C211yesmaximal, characteristic
25#10606235C211yesmaximal, characteristic, complemented
26#10606145C211yesmaximal, characteristic, complemented
27#10606113C211yesmaximal, characteristic, complemented
28#10605780C211yesmaximal, characteristic, complemented
29#10605657C211yesmaximal, characteristic, complemented
30#10605327C211yesmaximal, characteristic, complemented
31#10605177C211yesmaximal, characteristic, complemented
32C23×C4×D5C2211yescharacteristic
33C2×C5×#125C2211yescharacteristic, complemented
34C22×C5×C4⋊C4C2211yescharacteristic
35C2×C4×C22⋊D5C2211yescharacteristic
36C22×#685C2211yescharacteristic
37C22×#685C2211yescharacteristic
38C2×#4070C2211yescharacteristic
39C22×#683C2211yescharacteristic
40C2×#4043C2211yescharacteristic
41C2×#4043C2211yescharacteristic
42C2×#4042C2211yescharacteristic, complemented
43C2×#4040C2211yescharacteristic
44C2×#4040C2211yescharacteristic
45C2×#4040C2211yescharacteristic
46C2×#4032C2211yescharacteristic
47C2×#4028C2211yescharacteristic
48C2×#4023C2211yescharacteristic
49C2×#4023C2211yescharacteristic
50C2×#4022C2211yescharacteristic
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#65499C2211yescharacteristic
67#65499C2211yescharacteristic
68C2×#3963C2211yescharacteristic
69C2×#3963C2211yescharacteristic
70#65283C2211yescharacteristic
71#65283C2211yescharacteristic
72#65283C2211yescharacteristic, complemented
73#65283C2211yescharacteristic, complemented
74#65282C2211yescharacteristic, complemented
75#65281C2211yescharacteristic
76#65281C2211yescharacteristic
77#65281C2211yescharacteristic
78#65281C2211yescharacteristic, complemented
79#65281C2211yescharacteristic, complemented
80#65280C2211yescharacteristic
81#65279C2211yescharacteristic
82#65279C2211yescharacteristic
83#65279C2211yescharacteristic
84#65279C2211yescharacteristic, complemented
85#65278C2211yescharacteristic
86#65278C2211yescharacteristic
87#65278C2211yescharacteristic
88#65278C2211yescharacteristic
89#65278C2211yescharacteristic
90#65278C2211yescharacteristic
91#65278C2211yescharacteristic
92#65278C2211yescharacteristic
93#65278C2211yescharacteristic
94#65278C2211yescharacteristic
95#65278C2211yescharacteristic, complemented
96#65277C2211yescharacteristic
97#65277C2211yescharacteristic
98#65276C2211yescharacteristic
99#65276C2211yescharacteristic
100#65275C2211yescharacteristic, complemented
101#65273C2211yescharacteristic, complemented
102#65273C2211yescharacteristic, complemented
103#65272C2211yescharacteristic, complemented
104#65271C2211yescharacteristic, complemented
105#65271C2211yescharacteristic, complemented
106#65270C2211yescharacteristic, complemented
107#65270C2211yescharacteristic, complemented
108#65270C2211yescharacteristic, complemented
109#65269C2211yescharacteristic, complemented
110#65269C2211yescharacteristic, complemented
111#65269C2211yescharacteristic, complemented
112#65268C2211yescharacteristic, complemented
113#65268C2211yescharacteristic, complemented
114#65265C2211yescharacteristic, complemented
115#65265C2211yescharacteristic, complemented
116#65261C2211yescharacteristic, complemented
117#65261C2211yescharacteristic, complemented
118#65261C2211yescharacteristic, complemented
119#65261C2211yescharacteristic, complemented
120#65247C2211yescharacteristic
121#65247C2211yescharacteristic
122#65244C2211yescharacteristic
123#65244C2211yescharacteristic
124#65244C2211yescharacteristic
125#65239C2211yescharacteristic
126#65239C2211yescharacteristic
127#65235C2211yescharacteristic
128#65235C2211yescharacteristic
129#65232C2211yescharacteristic
130#65231C2211yescharacteristic
131#65231C2211yescharacteristic
132#65229C2211yescharacteristic
133#65229C2211yescharacteristic
134#65229C2211yescharacteristic
135#65229C2211yescharacteristic, complemented
136#65229C2211yescharacteristic, complemented
137#65217C2211yescharacteristic, complemented
138#65217C2211yescharacteristic, complemented
139#64965C2211yescharacteristic
140#64964C2211yescharacteristic
141#64964C2211yescharacteristic
142#64964C2211yescharacteristic
143#64964C2211yescharacteristic
144#64964C2211yescharacteristic
145#64964C2211yescharacteristic
146#64964C2211yescharacteristic, complemented
147#64964C2211yescharacteristic, complemented
148#64963C2211yescharacteristic, complemented
149#64961C2211yescharacteristic
150#64961C2211yescharacteristic
151#64961C2211yescharacteristic
152#64959C2211yescharacteristic
153#64959C2211yescharacteristic
154#64958C2211yescharacteristic
155#64958C2211yescharacteristic
156#64958C2211yescharacteristic
157#64958C2211yescharacteristic, complemented
158#64957C2211yescharacteristic
159#64957C2211yescharacteristic
160#64957C2211yescharacteristic
161#64957C2211yescharacteristic
162#64957C2211yescharacteristic, complemented
163#64957C2211yescharacteristic, complemented
164#64954C2211yescharacteristic
165#64954C2211yescharacteristic
166#64954C2211yescharacteristic
167#64953C2211yescharacteristic
168#64953C2211yescharacteristic
169C5⋊#401C2211yescharacteristic, complemented
170#64949C2211yescharacteristic, complemented
171#64949C2211yescharacteristic, complemented
172#64948C2211yescharacteristic, complemented
173#64947C2211yescharacteristic, complemented
174#64947C2211yescharacteristic, complemented
175#64947C2211yescharacteristic, complemented
176#64946C2211yescharacteristic, complemented
177#64946C2211yescharacteristic, complemented
178#64944C2211yescharacteristic, complemented
179#64942C2211yescharacteristic, complemented
180#64942C2211yescharacteristic, complemented
181#64941C2211yescharacteristic, complemented
182#64939C2211yescharacteristic, complemented
183#64939C2211yescharacteristic, complemented
184#64936C2211yescharacteristic, complemented
185#64936C2211yescharacteristic, complemented
186#64935C2211yescharacteristic, complemented
187#36792—51nomaximal, Sylow
188C24×D5C2311yescharacteristic
189C23×C4×C5C2311yescharacteristic
190C23×C4×C5C2311yescharacteristic
191C23×C4×C5C2311yescharacteristic
192C22×C22⋊D5C2311yescharacteristic
193C23×Dic5C2311yescharacteristic
194C23×Dic5C2311yescharacteristic
195C23×Dic5C2311yescharacteristic
196C22×D20C2311yescharacteristic
197C22×D20C2311yescharacteristic
198C22×C4×D5—42no—
199C22×C4×D5—42no—
200C22×C4×D5—42no—
201C22×C4×D5C2311yescharacteristic
202C22×C4×D5C2311yescharacteristic
203C22×C4×D5C2311yescharacteristic
204C22×C4×D5C2311yescharacteristic
205C22×C4×D5C2311yescharacteristic
206C22×Dic10C2311yescharacteristic
207C5×#125—42no—
208C2×C5×C4⋊C4—42no—
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×C4⋊C4C2311yescharacteristic
220C2×C5×C4⋊C4C2311yescharacteristic
221C2×C5×C4⋊C4C2311yescharacteristic
222C2×C5×C4⋊C4C2311yescharacteristic
223C2×C5×C22⋊C4C2311yescharacteristic
224C2×C5×C22⋊C4C2311yescharacteristic
225C2×C5×C22⋊C4C2311yescharacteristic
226C2×C5×C22⋊C4C2311yescharacteristic
227C2×C42×C5C2311yescharacteristic
228C2×C42×C5C2311yescharacteristic
229C2×C22⋊Dic5C2311yescharacteristic
230C2×C22⋊Dic5C2311yescharacteristic
231C2×C22⋊Dic5C2311yescharacteristic
232C4×C22⋊D5—42no—
233C2×#685—24no—
234C2×#685—42no—
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×#685C2311yescharacteristic
265C2×#685C2311yescharacteristic
266C2×#685C2311yescharacteristic
267C2×#685C2311yescharacteristic
268C2×C4⋊Dic5C2311yescharacteristic
269C2×C4⋊Dic5C2311yescharacteristic
270C2×C4⋊Dic5C2311yescharacteristic
271C2×C4⋊Dic5C2311yescharacteristic
272C2×C4⋊Dic5C2311yescharacteristic
273C2×C4⋊Dic5C2311yescharacteristic
274C2×C4⋊Dic5C2311yescharacteristic
275#4070—42no—
276C2×#683—42no—
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×#683C2311yescharacteristic
295C2×#683C2311yescharacteristic
296C2×#683C2311yescharacteristic
297C2×#683C2311yescharacteristic
298C2×#683C2311yescharacteristic
299C2×#683C2311yescharacteristic
300C2×C4×Dic5C2311yescharacteristic
301C2×C4×Dic5C2311yescharacteristic
302C2×C4×Dic5C2311yescharacteristic
303C2×C4×Dic5C2311yescharacteristic
304C2×C4×Dic5C2311yescharacteristic
305#4043—42no—
306#4043—42no—
307#4042—42no—
308#4040—42no—
309#4040—42no—
310#4040—42no—
311#4032—24no—
312#4028—42no—
313#4023—24no—
314#4023—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#2849—51no—
365#2848—51no—
366#2807—51no—
367#2796—51no—
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#2473D511yescharacteristic, complemented
388#2449—51no—
389#2438—51no—
390#2418—51no—
391#2411—51no—
392#2322—51no—
393#2317—51no—
394C2×#385—51no—
395C24×C5C2411yescharacteristic
396C23×D5—22no—
397C23×D5—22no—
398C23×D5—22no—
399C23×D5—22no—
400C23×D5—22no—
401C23×D5—41no—
402C23×D5—41no—
403C23×D5C2411yescharacteristic
404C23×D5C2411yescharacteristic
405C23×D5C2411yescharacteristic
406C22×C4×C5—22no—
407C22×C4×C5—22no—
408C22×C4×C5—22no—
409C22×C4×C5—22no—
410C22×C4×C5—41no—
411C22×C4×C5—41no—
412C22×C4×C5—41no—
413C22×C4×C5—41no—
414C22×C4×C5—41no—
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
426C22×C4×C5C2411yescharacteristic
427C22×C4×C5C2411yescharacteristic
428C22×C4×C5C2411yescharacteristic
429C2×C22⋊D5—22no—
430C2×C22⋊D5—22no—
431C2×C22⋊D5—22no—
432C22×Dic5—22no—
433C22×Dic5—22no—
434C22×Dic5—22no—
435C22×Dic5—22no—
436C22×Dic5—41no—
437C22×Dic5—41no—
438C22×Dic5—41no—
439C22×Dic5—41no—
440C22×Dic5#4114yes—
441C22×Dic5C2411yescharacteristic
442C22×Dic5C2411yescharacteristic
443C22×Dic5C2411yescharacteristic
444C22×Dic5C2411yescharacteristic
445C22×Dic5C2411yescharacteristic
446C22×Dic5C2411yescharacteristic
447C22×Dic5C2411yescharacteristic
448C22×Dic5C2411yescharacteristic
449C22×Dic5C2411yescharacteristic
450C22×Dic5C2411yescharacteristic
451C22×Dic5C2411yescharacteristic
452C22×Dic5C2411yescharacteristic
453C22×Dic5C2411yescharacteristic
454C2×D20—22no—
455C2×D20—22no—
456C2×D20—41no—
457C2×D20—41no—
458C2×D20—41no—
459C2×D20—41no—
460C2×C4×D5—22no—
461C2×C4×D5—22no—
462C2×C4×D5—22no—
463C2×C4×D5—22no—
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—
472C2×C4×D5—416no—
473C2×C4×D5—41no—
474C2×C4×D5—41no—
475C2×C4×D5—41no—
476C2×Dic10—22no—
477C2×Dic10—41no—
478C2×Dic10—41no—
479C5×C4⋊C4—22no—
480C5×C4⋊C4—22no—
481C5×C4⋊C4—22no—
482C5×C4⋊C4—22no—
483C5×C4⋊C4—41no—
484C5×C4⋊C4—41no—
485C5×C4⋊C4—41no—
486C5×C4⋊C4—41no—
487C5×C4⋊C4—41no—
488C5×C4⋊C4—41no—
489C5×C4⋊C4—41no—
490C5×C4⋊C4—41no—
491C5×C4⋊C4—41no—
492C5×C4⋊C4—41no—
493C5×C22⋊C4—22no—
494C5×C22⋊C4—22no—
495C5×C22⋊C4—22no—
496C5×C22⋊C4—22no—
497C42×C5—41no—
498C42×C5—41no—
499C22⋊Dic5—22no—
500C22⋊Dic5—22no—
501C22⋊Dic5—22no—
502#685—22no—
503#685—22no—
504#685—22no—
505#685—22no—
506#685—22no—
507#685—22no—
508#685—22no—
509#685—22no—
510#685—22no—
511#685—22no—
512#685—22no—
513#685—22no—
514#685—22no—
515#685—22no—
516#685—22no—
517#685—41no—
518#685—41no—
519#685—41no—
520#685—41no—
521#685—41no—
522#685—41no—
523#685—41no—
524#685—41no—
525#685—41no—
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—
535C4⋊Dic5—22no—
536C4⋊Dic5—22no—
537C4⋊Dic5—41no—
538C4⋊Dic5—41no—
539C4⋊Dic5—41no—
540C4⋊Dic5—41no—
541C4⋊Dic5—41no—
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×#125C2×D511yescharacteristic, complemented
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⋊C4C2×D511yescharacteristic
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#399—51no—
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#398C2×D511yescharacteristic, complemented
614#398C2×D511yescharacteristic, complemented
615#398C2×D511yescharacteristic, complemented
616#397—51no—
617#397—51no—
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#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#394—51no—
637#391—51no—
638#390—51no—
639#390—51no—
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#388—51no—
663#388—51no—
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#386—51no—
680#385—51no—
681#385—51no—
682#385—51no—
683#385—51no—
684#385—51no—
685#385—51no—
686#385—51no—
687#385—51no—
688#385—51no—
689#385—51no—
690#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#385C2×D511yescharacteristic
704#385C2×D511yescharacteristic
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#380C2×D511yescharacteristic
719#379—51no—
720#379—51no—
721#379—51no—
722C4×C22⋊C4C2×D511yescharacteristic
723C2×#95—51no—
724C2×#95—51no—
725C23×C5—21no—
726C23×C5—21no—
727C23×C5—21no—
728C23×C5—21no—
729C23×C5C2×#4112yes—
730C23×C5H(5,𝔽2)12yes—
731C23×C52−1+412yes—
732C23×C5C2511yescharacteristic
733C22×D5—28no—
734C22×D5—21no—
735C22×D5—21no—
736C22×D5—21no—
737C22×D5—21no—
738C22×D5—21no—
739C22×D5—21no—
740C22×D5—21no—
741C22×D5—21no—
742C22×D5—21no—
743C22×D5—21no—
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—44no—
754C22×D5—44no—
755C22×D5—44no—
756C22×D5—44no—
757C22×D5—44no—
758C22×D5—44no—
759C22×D5H(5,𝔽2)12yes—
760C22×D52−1+412yes—
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—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—44no—
803C2×C4×C5—44no—
804C2×C4×C5—82no—
805C2×C4×C5H(5,𝔽2)12yes—
806C22⋊D5—44no—
807C2×Dic5—28no—
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—21no—
845C2×Dic5—44no—
846C2×Dic5—82no—
847C2×Dic5C2×#4112yes—
848C2×Dic5C2×#4112yes—
849D20—82no—
850D20—82no—
851C4×D5—44no—
852C4×D5—44no—
853C4×D5—44no—
854C4×D5—44no—
855C4×D5—82no—
856Dic10—82no—
857C25—51no—
858C22×Q8—51no—
859C22×D4—51no—
860C22×D4—51no—
861C22×D4—51no—
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—202no—
871C23×C4—202no—
872C23×C4—202no—
873C23×C4C22×D511yescharacteristic
874C23×C4C22×D511yescharacteristic
875C23×C4C22×D511yescharacteristic
876#126—202no—
877#125—42no—
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—42no—
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—202no—
922C2×C4⋊C4C22×D511yescharacteristic
923C2×C4⋊C4C22×D511yescharacteristic
924C2×C4⋊C4C22×D511yescharacteristic
925C2×C4⋊C4C22×D511yescharacteristic
926C2×C4⋊C4C22×D511yescharacteristic
927C2×C4⋊C4C22×D511yescharacteristic
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—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—104no—
973C2×C22⋊C4—202no—
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—22no—
1037C22×C5—22no—
1038C22×C5—22no—
1039C22×C5#53914yes—
1040C22×C5C22×#4111yescharacteristic
1041C22×C5C2×H(5,𝔽2)11yescharacteristic
1042C22×C5C2×H(5,𝔽2)11yescharacteristic
1043C22×C5C2×H(5,𝔽2)11yescharacteristic
1044C22×C5C2×2−1+411yescharacteristic
1045C22×C5C2×2−1+411yescharacteristic
1046C22×C5#58511yescharacteristic
1047C2×D5—22no—
1048C2×D5—22no—
1049C2×D5—22no—
1050C2×D5—22no—
1051C2×D5—22no—
1052C2×D5—22no—
1053C2×D5—416no—
1054C2×D5—41no—
1055C2×D5—41no—
1056C2×D5—41no—
1057C2×D5—41no—
1058C2×D5—41no—
1059C2×D5—41no—
1060C2×D5—41no—
1061C2×D5—41no—
1062C2×D5—41no—
1063C2×D5—41no—
1064C2×D5—41no—
1065C2×D5—41no—
1066C2×D5—41no—
1067C2×D5—41no—
1068C2×D5—41no—
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—
1082C4×C5—41no—
1083Dic5—22no—
1084Dic5—22no—
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—51no—
1099C24—102no—
1100C24—102no—
1101C24—102no—
1102C24—102no—
1103C24—102no—
1104C24—201no—
1105C24—201no—
1106C24C23×D511yescharacteristic
1107C2×Q8—102no—
1108C2×Q8—201no—
1109C2×Q8—201no—
1110C2×D4—102no—
1111C2×D4—102no—
1112C2×D4—102no—
1113C2×D4—102no—
1114C2×D4—102no—
1115C2×D4—201no—
1116C2×D4—201no—
1117C2×D4—201no—
1118C2×D4—201no—
1119C22×C4—22no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—41no—
1127C22×C4—41no—
1128C22×C4—54no—
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—51no—
1138C22×C4—51no—
1139C22×C4—51no—
1140C22×C4—51no—
1141C22×C4—51no—
1142C22×C4—102no—
1143C22×C4—102no—
1144C22×C4—102no—
1145C22×C4—102no—
1146C22×C4—102no—
1147C22×C4—102no—
1148C22×C4—102no—
1149C22×C4—102no—
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×C4C23×D511yescharacteristic
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—22no—
1182C4⋊C4—22no—
1183C4⋊C4—22no—
1184C4⋊C4—41no—
1185C4⋊C4—41no—
1186C4⋊C4—41no—
1187C4⋊C4—41no—
1188C4⋊C4—41no—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C4⋊C4—102no—
1195C4⋊C4—102no—
1196C4⋊C4—102no—
1197C4⋊C4—102no—
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—102no—
1229C22⋊C4—102no—
1230C22⋊C4—102no—
1231C22⋊C4—102no—
1232C22⋊C4—102no—
1233C22⋊C4—102no—
1234C22⋊C4—102no—
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—201no—
1247C22⋊C4—201no—
1248C22⋊C4—201no—
1249C22⋊C4—201no—
1250C22⋊C4—201no—
1251C22⋊C4—201no—
1252C22⋊C4—201no—
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—24no—
1272C2×C5C2×#53911yescharacteristic
1273C2×C5#349211yescharacteristic
1274C2×C5#350611yescharacteristic
1275C2×C5#353211yescharacteristic
1276C2×C5#353511yescharacteristic
1277C2×C5#353511yescharacteristic
1278C2×C5#353811yescharacteristic
1279D5—42no—
1280D5—42no—
1281D5—81no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—52no—
1287C23—52no—
1288C23—108no—
1289C23—101no—
1290C23—101no—
1291C23—101no—
1292C23—101no—
1293C23—101no—
1294C23—101no—
1295C23—101no—
1296C23—101no—
1297C23—101no—
1298C23—101no—
1299C23—101no—
1300C23—101no—
1301C23—101no—
1302C23—101no—
1303C23—101no—
1304C23—101no—
1305C23—101no—
1306C23—101no—
1307C23—101no—
1308C23—204no—
1309C23—204no—
1310C23—204no—
1311C23—204no—
1312C23—204no—
1313C23—204no—
1314C23#414712yes—
1315C23D5×#4112yes—
1316C23#414912yes—
1317C23C24×D511yescharacteristic
1318Q8—402no—
1319D4—204no—
1320D4—402no—
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—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—44no—
1364C2×C4—44no—
1365C2×C4—52no—
1366C2×C4—52no—
1367C2×C4—82no—
1368C2×C4—101no—
1369C2×C4—101no—
1370C2×C4—101no—
1371C2×C4—101no—
1372C2×C4—108no—
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—101no—
1405C2×C4—101no—
1406C2×C4—204no—
1407C2×C4—204no—
1408C2×C4—204no—
1409C2×C4—204no—
1410C2×C4—204no—
1411C2×C4—402no—
1412C2×C4—402no—
1413C2×C4#414412yes—
1414C5#3679211yescharacteristic, complemented, Sylow
1415C22—22no—
1416C22—22no—
1417C22—22no—
1418C22—22no—
1419C22—22no—
1420C22—22no—
1421C22—102no—
1422C22—102no—
1423C22—102no—
1424C22—102no—
1425C22—102no—
1426C22—102no—
1427C22—2016no—
1428C22—201no—
1429C22—201no—
1430C22—201no—
1431C22—201no—
1432C22—201no—
1433C22—201no—
1434C22—201no—
1435C22—201no—
1436C22—201no—
1437C22—201no—
1438C22—201no—
1439C22—201no—
1440C22—201no—
1441C22—201no—
1442C22—201no—
1443C22#6602614yes—
1444C22C2×#414411yescharacteristic
1445C22C2×#414711yescharacteristic
1446C22C2×D5×#4111yescharacteristic
1447C22C2×#414911yescharacteristic
1448C22#6628311yescharacteristic
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—41no—
1465C4—102no—
1466C4—102no—
1467C4—201no—
1468C4—201no—
1469C4—201no—
1470C4—201no—
1471C4—201no—
1472C4—201no—
1473C4—201no—
1474C4—201no—
1475C4—201no—
1476C4—201no—
1477C4—201no—
1478C2—24no—
1479C2—202no—
1480C2—202no—
1481C2—401no—
1482C2#1061793011yescharacteristic
1483C2C2×#6602611yescharacteristic
1484C2#1061833111yescharacteristic
1485C2#1061856811yescharacteristic
1486C2#1061866311yescharacteristic
1487C2#1061874511yescharacteristic
1488C2#1061885211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2473C2
prime radicalC2×#4028C22
hypercenter#2473D5
hypocenterC5#36792
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. #10614782C2semidirect
3. #10614777C2semidirect
4. C2×#65278C2semidirect
5. #10613904C2semidirect
6. #10610127C2semidirect
7. #10610021C2semidirect
8. #10609733C2semidirect
9. #10609724C2semidirect
10. #10609717C2semidirect
11. #10609715C2semidirect
12. #10609700C2semidirect
13. #10609637C2semidirect
14. #10608012C2semidirect
15. #10608000C2semidirect
16. #10607170C2semidirect
17. #10607161C2semidirect
18. #10607123C2semidirect
19. #10606969C2semidirect
21. #10606356C2semidirect
22. #10606345C2semidirect
25. #10606235C2semidirect
26. #10606145C2semidirect
27. #10606113C2semidirect
28. #10605780C2semidirect
29. #10605657C2semidirect
30. #10605327C2semidirect
31. #10605177C2semidirect
33. C2×C5×#125C22semidirect
42. C2×#4042C22semidirect
51. C5×#400C22semidirect
52. C5×#398C22semidirect
53. C5×#398C22semidirect
54. C5×#398C22semidirect
55. C5×#389C22semidirect
56. C5×#387C22semidirect
57. C5×#387C22semidirect
72. #65283C22semidirect
73. #65283C22semidirect
74. #65282C22semidirect
78. #65281C22semidirect
79. #65281C22semidirect
84. #65279C22semidirect
95. #65278C22semidirect
100. #65275C22semidirect
101. #65273C22semidirect
102. #65273C22semidirect
103. #65272C22semidirect
104. #65271C22semidirect
105. #65271C22semidirect
106. #65270C22semidirect
107. #65270C22semidirect
108. #65270C22semidirect
109. #65269C22semidirect
110. #65269C22semidirect
111. #65269C22semidirect
112. #65268C22semidirect
113. #65268C22semidirect
114. #65265C22semidirect
115. #65265C22semidirect
116. #65261C22semidirect
117. #65261C22semidirect
118. #65261C22semidirect
119. #65261C22semidirect
135. #65229C22semidirect
136. #65229C22semidirect
137. #65217C22semidirect
138. #65217C22semidirect
146. #64964C22semidirect
147. #64964C22semidirect
148. #64963C22semidirect
157. #64958C22semidirect
162. #64957C22semidirect
163. #64957C22semidirect
169. C5⋊#401C22semidirect
170. #64949C22semidirect
171. #64949C22semidirect
172. #64948C22semidirect
173. #64947C22semidirect
174. #64947C22semidirect
175. #64947C22semidirect
176. #64946C22semidirect
177. #64946C22semidirect
178. #64944C22semidirect
179. #64942C22semidirect
180. #64942C22semidirect
181. #64941C22semidirect
182. #64939C22semidirect
183. #64939C22semidirect
184. #64936C22semidirect
185. #64936C22semidirect
186. #64935C22semidirect
387. #2473D5semidirect
572. C2×#125C2×D5semidirect
599. #400C2×D5semidirect
613. #398C2×D5semidirect
614. #398C2×D5semidirect
615. #398C2×D5semidirect
648. #389C2×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×#24732
#106147822
#106147772
C2×#652782
#106139042
#106101272
#106100212
#106097332
#106097242
#106097172
#106097152
#106097002
#106096372
#106080122
#106080002
#106071702
#106071612
#106071232
#106069692
#106063872
#106063562
#106063452
#106063342
#106063332
#106062352
#106061452
#106061132
#106057802
#106056572
#106053272
#106051772
#367925