Finite Group Databasebeta

← #12307751

Subgroups — #12307751

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×#2851C211yesmaximal, characteristic, complemented
2#10614799C211yesmaximal, characteristic, complemented
3#10614777C211yesmaximal, characteristic, complemented
4#10613809C211yesmaximal, characteristic, complemented
5C2×#65229C211yesmaximal, characteristic, complemented
6#10608003C211yesmaximal, characteristic, complemented
7#10607877C211yesmaximal, characteristic, complemented
8#10607852C211yesmaximal, characteristic, complemented
9#10607842C211yesmaximal, characteristic, complemented
10#10607151C211yesmaximal, characteristic, complemented
11#10607150C211yesmaximal, characteristic, complemented
12#10607147C211yesmaximal, characteristic, complemented
13#10607145C211yesmaximal, characteristic, complemented
14#10607143C211yesmaximal, characteristic, complemented
15#10607131C211yesmaximal, characteristic, complemented
16#10606974C211yesmaximal, characteristic, complemented
17#10606947C211yesmaximal, characteristic, complemented
18#10606351C211yesmaximal, characteristic, complemented
19#10606323C211yesmaximal, characteristic
20#10606322C211yesmaximal, characteristic, complemented
21#10606233C211yesmaximal, characteristic, complemented
22#10606194C211yesmaximal, characteristic, complemented
23#10606186C211yesmaximal, characteristic, complemented
24#10606155C211yesmaximal, characteristic, complemented
25#10606137C211yesmaximal, characteristic
26#10605984C211yesmaximal, characteristic, complemented
27#10605979C211yesmaximal, characteristic, complemented
28#10605749C211yesmaximal, characteristic
29#10605648C211yesmaximal, characteristic, complemented
30#10605627C211yesmaximal, characteristic, complemented
31#10605621C211yesmaximal, characteristic, complemented
32C2×C5×#125C2211yescharacteristic, complemented
33C22×C42×C5C2211yescharacteristic
34C22×#685C2211yescharacteristic
35C22×#685C2211yescharacteristic
36C22×#685C2211yescharacteristic
37C22×#683C2211yescharacteristic
38C2×#4042C2211yescharacteristic
39C2×#4040C2211yescharacteristic
40C2×#4032C2211yescharacteristic
41C2×#4028C2211yescharacteristic
42C2×#4027C2211yescharacteristic
43C2×D5×C22⋊C4C2211yescharacteristic
44C2×D5×C22⋊C4C2211yescharacteristic
45C2×#4024C2211yescharacteristic
46C2×#4022C2211yescharacteristic, complemented
47C5×#389C2211yescharacteristic, complemented
48C5×#389C2211yescharacteristic, complemented
49C5×#387C2211yescharacteristic, complemented
50C5×#387C2211yescharacteristic, complemented
51C5×#387C2211yescharacteristic, complemented
52C5×#387C2211yescharacteristic, complemented
53C5×#385C2211yescharacteristic
54C5×#385C2211yescharacteristic
55C5×#385C2211yescharacteristic
56C5×#385C2211yescharacteristic
57C5×#382C2211yescharacteristic, complemented
58C5×#380C2211yescharacteristic
59C5×#380C2211yescharacteristic
60#65502C2211yescharacteristic
61#65502C2211yescharacteristic
62#65502C2211yescharacteristic
63#65499C2211yescharacteristic
64#65499C2211yescharacteristic
65#65499C2211yescharacteristic
66C2×#3963C2211yescharacteristic
67C2×#3963C2211yescharacteristic
68#65283C2211yescharacteristic
69#65283C2211yescharacteristic, complemented
70#65282C2211yescharacteristic
71#65282C2211yescharacteristic
72#65282C2211yescharacteristic
73#65282C2211yescharacteristic, complemented
74#65281C2211yescharacteristic
75#65281C2211yescharacteristic, complemented
76#65281C2211yescharacteristic, complemented
77#65280C2211yescharacteristic
78#65280C2211yescharacteristic
79#65280C2211yescharacteristic
80#65279C2211yescharacteristic
81#65279C2211yescharacteristic
82#65278C2211yescharacteristic
83#65278C2211yescharacteristic
84#65278C2211yescharacteristic
85#65278C2211yescharacteristic
86#65278C2211yescharacteristic
87#65278C2211yescharacteristic
88#65278C2211yescharacteristic, complemented
89#65277C2211yescharacteristic
90#65277C2211yescharacteristic
91#65276C2211yescharacteristic
92#65276C2211yescharacteristic
93#65276C2211yescharacteristic
94#65276C2211yescharacteristic
95#65276C2211yescharacteristic, complemented
96#65275C2211yescharacteristic, complemented
97#65273C2211yescharacteristic, complemented
98#65273C2211yescharacteristic, complemented
99#65273C2211yescharacteristic, complemented
100#65272C2211yescharacteristic, complemented
101#65271C2211yescharacteristic, complemented
102#65271C2211yescharacteristic, complemented
103#65270C2211yescharacteristic, complemented
104#65270C2211yescharacteristic, complemented
105#65269C2211yescharacteristic, complemented
106#65269C2211yescharacteristic, complemented
107#65269C2211yescharacteristic, complemented
108#65268C2211yescharacteristic, complemented
109#65268C2211yescharacteristic, complemented
110#65267C2211yescharacteristic, complemented
111#65267C2211yescharacteristic, complemented
112#65263C2211yescharacteristic, complemented
113#65261C2211yescharacteristic, complemented
114#65247C2211yescharacteristic
115#65244C2211yescharacteristic
116#65239C2211yescharacteristic
117#65235C2211yescharacteristic
118#65235C2211yescharacteristic
119#65232C2211yescharacteristic
120#65232C2211yescharacteristic
121#65232C2211yescharacteristic
122#65231C2211yescharacteristic
123C22⋊C4×Dic5C2211yescharacteristic
124#65229C2211yescharacteristic
125#65229C2211yescharacteristic
126#65229C2211yescharacteristic
127#65229C2211yescharacteristic
128#65229C2211yescharacteristic
129#65229C2211yescharacteristic
130#65229C2211yescharacteristic
131#65229C2211yescharacteristic
132#65229C2211yescharacteristic, complemented
133#65229C2211yescharacteristic, complemented
134#65229C2211yescharacteristic, complemented
135#65226C2211yescharacteristic, complemented
136#65222C2211yescharacteristic, complemented
137#65222C2211yescharacteristic, complemented
138#65222C2211yescharacteristic, complemented
139#64965C2211yescharacteristic
140#64964C2211yescharacteristic
141#64964C2211yescharacteristic
142#64964C2211yescharacteristic
143#64964C2211yescharacteristic, complemented
144#64964C2211yescharacteristic, complemented
145#64964C2211yescharacteristic, complemented
146#64963C2211yescharacteristic
147#64963C2211yescharacteristic
148#64962C2211yescharacteristic
149#64962C2211yescharacteristic, complemented
150#64961C2211yescharacteristic
151#64958C2211yescharacteristic
152#64958C2211yescharacteristic
153#64957C2211yescharacteristic
154#64957C2211yescharacteristic
155#64957C2211yescharacteristic
156#64957C2211yescharacteristic, complemented
157#64956C2211yescharacteristic
158#64956C2211yescharacteristic
159#64956C2211yescharacteristic
160#64954C2211yescharacteristic
161#64954C2211yescharacteristic
162#64954C2211yescharacteristic
163#64954C2211yescharacteristic
164#64954C2211yescharacteristic
165#64953C2211yescharacteristic
166#64953C2211yescharacteristic
167#64953C2211yescharacteristic
168#64953C2211yescharacteristic, complemented
169C5⋊#401C2211yescharacteristic, complemented
170#64949C2211yescharacteristic, complemented
171#64949C2211yescharacteristic, complemented
172#64949C2211yescharacteristic, complemented
173#64949C2211yescharacteristic, complemented
174#64948C2211yescharacteristic, complemented
175#64947C2211yescharacteristic, complemented
176#64947C2211yescharacteristic, complemented
177#64947C2211yescharacteristic, complemented
178#64947C2211yescharacteristic, complemented
179#64946C2211yescharacteristic, complemented
180#64946C2211yescharacteristic, complemented
181#64944C2211yescharacteristic, complemented
182#64943C2211yescharacteristic, complemented
183#64942C2211yescharacteristic, complemented
184#64941C2211yescharacteristic, complemented
185#64940C2211yescharacteristic, complemented
186#64939C2211yescharacteristic, complemented
187#36780—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×D5C2311yescharacteristic
199C22×C4×D5C2311yescharacteristic
200C22×C4×D5C2311yescharacteristic
201C22×C4×D5C2311yescharacteristic
202C22×C4×D5C2311yescharacteristic
203C22×Dic10C2311yescharacteristic
204C5×#125—42no—
205C2×C5×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
218C2×C5×C22⋊C4C2311yescharacteristic
219C2×C5×C22⋊C4C2311yescharacteristic
220C2×C5×C22⋊C4C2311yescharacteristic
221C2×C42×C5—42no—
222C2×C42×C5C2311yescharacteristic
223C2×C42×C5C2311yescharacteristic
224C2×C42×C5C2311yescharacteristic
225C2×C42×C5C2311yescharacteristic
226C2×C22⋊Dic5C2311yescharacteristic
227C2×C22⋊Dic5C2311yescharacteristic
228C2×C22⋊Dic5C2311yescharacteristic
229C2×#685—24no—
230C2×#685—42no—
231C2×#685—42no—
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×#685C2311yescharacteristic
265C2×C4⋊Dic5C2311yescharacteristic
266C2×C4⋊Dic5C2311yescharacteristic
267C2×C4⋊Dic5C2311yescharacteristic
268C2×C4⋊Dic5C2311yescharacteristic
269C2×C4⋊Dic5C2311yescharacteristic
270C2×#683—42no—
271C2×#683C2311yescharacteristic
272C2×#683C2311yescharacteristic
273C2×#683C2311yescharacteristic
274C2×#683C2311yescharacteristic
275C2×#683C2311yescharacteristic
276C2×#683C2311yescharacteristic
277C2×#683C2311yescharacteristic
278C2×#683C2311yescharacteristic
279C2×#683C2311yescharacteristic
280C2×#683C2311yescharacteristic
281C2×#683C2311yescharacteristic
282C2×#683C2311yescharacteristic
283C2×#683C2311yescharacteristic
284C2×#683C2311yescharacteristic
285C2×#683C2311yescharacteristic
286C2×#683C2311yescharacteristic
287C2×#683C2311yescharacteristic
288C2×#683C2311yescharacteristic
289C2×#683C2311yescharacteristic
290C2×C4×Dic5C2311yescharacteristic
291C2×C4×Dic5C2311yescharacteristic
292C2×C4×Dic5C2311yescharacteristic
293#4042—42no—
294#4040—42no—
295#4032—42no—
296#4028—24no—
297#4027—42no—
298D5×C22⋊C4—24no—
299D5×C22⋊C4—42no—
300#4024—42no—
301#4022—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
314#3963C2311yescharacteristic
315#3963C2311yescharacteristic
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#2851D511yescharacteristic, complemented
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#2627—51no—
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
400C22×C4×C5—22no—
401C22×C4×C5—22no—
402C22×C4×C5—22no—
403C22×C4×C5—22no—
404C22×C4×C5—41no—
405C22×C4×C5—41no—
406C22×C4×C5—41no—
407C22×C4×C5—41no—
408C22×C4×C5—41no—
409C22×C4×C5C2411yescharacteristic
410C22×C4×C5C2411yescharacteristic
411C22×C4×C5C2411yescharacteristic
412C22×C4×C5C2411yescharacteristic
413C22×C4×C5C2411yescharacteristic
414C22×C4×C5C2411yescharacteristic
415C22×C4×C5C2411yescharacteristic
416C22×C4×C5C2411yescharacteristic
417C22×C4×C5C2411yescharacteristic
418C22×C4×C5C2411yescharacteristic
419C22×C4×C5C2411yescharacteristic
420C22×C4×C5C2411yescharacteristic
421C22×C4×C5C2411yescharacteristic
422C22×C4×C5C2411yescharacteristic
423C2×C22⋊D5—22no—
424C2×C22⋊D5—22no—
425C2×C22⋊D5—22no—
426C22×Dic5—22no—
427C22×Dic5—22no—
428C22×Dic5—22no—
429C22×Dic5—22no—
430C22×Dic5—22no—
431C22×Dic5—41no—
432C22×Dic5—41no—
433C22×Dic5—41no—
434C22×Dic5—41no—
435C22×Dic5C2411yescharacteristic
436C22×Dic5C2411yescharacteristic
437C22×Dic5C2411yescharacteristic
438C22×Dic5C2411yescharacteristic
439C22×Dic5C2411yescharacteristic
440C22×Dic5C2411yescharacteristic
441C22×Dic5C2411yescharacteristic
442C22×Dic5C2411yescharacteristic
443C22×Dic5C2411yescharacteristic
444C22×Dic5C2411yescharacteristic
445C22×Dic5C2411yescharacteristic
446C22×Dic5C2411yescharacteristic
447C22×Dic5C2411yescharacteristic
448C2×D20—22no—
449C2×D20—22no—
450C2×D20—41no—
451C2×D20—41no—
452C2×D20—41no—
453C2×D20—41no—
454C2×C4×D5—22no—
455C2×C4×D5—22no—
456C2×C4×D5—41no—
457C2×C4×D5—41no—
458C2×C4×D5—41no—
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×Dic10—41no—
470C2×Dic10—41no—
471C2×Dic10—41no—
472C5×C4⋊C4—22no—
473C5×C4⋊C4—22no—
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×C22⋊C4—22no—
485C5×C22⋊C4—22no—
486C5×C22⋊C4—22no—
487C5×C22⋊C4—22no—
488C42×C5—22no—
489C42×C5—22no—
490C42×C5—41no—
491C42×C5—41no—
492C22⋊Dic5—22no—
493C22⋊Dic5—22no—
494C22⋊Dic5—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—22no—
504#685—22no—
505#685—22no—
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—
525#685—41no—
526#685—41no—
527#685—41no—
528C4⋊Dic5—41no—
529C4⋊Dic5—41no—
530C4⋊Dic5—41no—
531C4⋊Dic5—41no—
532C4⋊Dic5—41no—
533#683—22no—
534#683—41no—
535#683—41no—
536#683—41no—
537#683—41no—
538#683—41no—
539#683—41no—
540#683—41no—
541#683—41no—
542#683—41no—
543#683—41no—
544#683—41no—
545#683—41no—
546#683—41no—
547#683—41no—
548#683—41no—
549#683—41no—
550#683—41no—
551#683—41no—
552C4×Dic5—41no—
553C4×Dic5—41no—
554C4×Dic5—41no—
555C2×#126—51no—
556C2×#125C2×D511yescharacteristic, complemented
557C2×#123—51no—
558C2×#123—51no—
559C2×C22⋊Q8—51no—
560C2×C22⋊Q8—51no—
561C2×#120—51no—
562C2×C4×D4—51no—
563C22×C4⋊C4—51no—
564C22×C22⋊C4—51no—
565C22×C22⋊C4—51no—
566C22×C22⋊C4—51no—
567C22×C22⋊C4—51no—
568C22×C22⋊C4—51no—
569C22×C42C2×D511yescharacteristic
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#400—51no—
582#400—51no—
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#398—51no—
592#398—51no—
593#398—51no—
594#398—51no—
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#395—51no—
611#395—51no—
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#389C2×D511yescharacteristic, complemented
623#389C2×D511yescharacteristic, complemented
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#387C2×D511yescharacteristic, complemented
651#387C2×D511yescharacteristic, complemented
652#387C2×D511yescharacteristic, complemented
653#387C2×D511yescharacteristic, complemented
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#385C2×D511yescharacteristic
681#385C2×D511yescharacteristic
682#385C2×D511yescharacteristic
683#385C2×D511yescharacteristic
684#383—51no—
685#383—51no—
686#382—51no—
687#382C2×D511yescharacteristic, complemented
688#381—51no—
689#381—51no—
690#381—51no—
691#381—51no—
692#381—51no—
693#381—51no—
694#381—51no—
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#380C2×D511yescharacteristic
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—
746C2×C4×C5—21no—
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—44no—
788C2×C4×C5—44no—
789C2×C4×C5—44no—
790C2×C4×C5H(5,𝔽2)12yes—
791C22⋊D5—44no—
792C2×Dic5—21no—
793C2×Dic5—21no—
794C2×Dic5—21no—
795C2×Dic5—21no—
796C2×Dic5—21no—
797C2×Dic5—21no—
798C2×Dic5—21no—
799C2×Dic5—21no—
800C2×Dic5—21no—
801C2×Dic5—21no—
802C2×Dic5—21no—
803C2×Dic5—21no—
804C2×Dic5—21no—
805C2×Dic5—21no—
806C2×Dic5—21no—
807C2×Dic5—21no—
808C2×Dic5—21no—
809C2×Dic5—21no—
810C2×Dic5—21no—
811C2×Dic5—21no—
812C2×Dic5—21no—
813C2×Dic5—21no—
814C2×Dic5—21no—
815C2×Dic5—21no—
816C2×Dic5—21no—
817C2×Dic5—21no—
818C2×Dic5—21no—
819C2×Dic5—21no—
820C2×Dic5—21no—
821C2×Dic5—21no—
822C2×Dic5—21no—
823C2×Dic5—21no—
824C2×Dic5—21no—
825C2×Dic5—21no—
826C2×Dic5—21no—
827C2×Dic5—21no—
828C2×Dic5—21no—
829C2×Dic5—21no—
830C2×Dic5—21no—
831C2×Dic5—44no—
832C2×Dic5—82no—
833C2×Dic5—82no—
834D20—82no—
835D20—82no—
836C4×D5—82no—
837C4×D5—82no—
838C4×D5—82no—
839C4×D5—82no—
840C4×D5—82no—
841Dic10—82no—
842C25—51no—
843C22×Q8—51no—
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—42no—
860#123—202no—
861#123—202no—
862C22⋊Q8—202no—
863C22⋊Q8—202no—
864#120—104no—
865C4×D4—202no—
866C2×C4⋊C4—51no—
867C2×C4⋊C4—51no—
868C2×C4⋊C4—51no—
869C2×C4⋊C4—51no—
870C2×C4⋊C4—51no—
871C2×C4⋊C4—51no—
872C2×C4⋊C4—51no—
873C2×C4⋊C4—51no—
874C2×C4⋊C4—51no—
875C2×C4⋊C4—51no—
876C2×C4⋊C4—51no—
877C2×C4⋊C4—51no—
878C2×C4⋊C4—51no—
879C2×C4⋊C4—51no—
880C2×C4⋊C4—51no—
881C2×C4⋊C4—51no—
882C2×C4⋊C4—51no—
883C2×C4⋊C4—51no—
884C2×C4⋊C4—51no—
885C2×C4⋊C4—51no—
886C2×C4⋊C4—51no—
887C2×C4⋊C4—51no—
888C2×C4⋊C4—51no—
889C2×C4⋊C4—51no—
890C2×C4⋊C4—202no—
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—42no—
949C2×C42—51no—
950C2×C42—51no—
951C2×C42—51no—
952C2×C42C22×D511yescharacteristic
953C2×C42C22×D511yescharacteristic
954C2×C42C22×D511yescharacteristic
955C2×C42C22×D511yescharacteristic
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#95—51no—
999#95—51no—
1000#95C22×D511yescharacteristic
1001#95C22×D511yescharacteristic
1002#95C22×D511yescharacteristic
1003#95C22×D511yescharacteristic
1004#95C22×D511yescharacteristic
1005#95C22×D511yescharacteristic
1006#95C22×D511yescharacteristic
1007#95C22×D511yescharacteristic
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—22no—
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—41no—
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—201no—
1087C2×Q8—201no—
1088C2×Q8—201no—
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—41no—
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—102no—
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—22no—
1159C4⋊C4—22no—
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—102no—
1171C4⋊C4—201no—
1172C4⋊C4—201no—
1173C4⋊C4—201no—
1174C4⋊C4—201no—
1175C4⋊C4—201no—
1176C4⋊C4—201no—
1177C4⋊C4—201no—
1178C4⋊C4—201no—
1179C4⋊C4—201no—
1180C4⋊C4—201no—
1181C4⋊C4—201no—
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—22no—
1235C42—22no—
1236C42—41no—
1237C42—41no—
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#414712yes—
1285C23D5×#4112yes—
1286C23#414912yes—
1287C23C24×D511yescharacteristic
1288Q8—402no—
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—44no—
1334C2×C4—44no—
1335C2×C4—44no—
1336C2×C4—101no—
1337C2×C4—101no—
1338C2×C4—101no—
1339C2×C4—101no—
1340C2×C4—101no—
1341C2×C4—101no—
1342C2×C4—101no—
1343C2×C4—101no—
1344C2×C4—101no—
1345C2×C4—101no—
1346C2×C4—101no—
1347C2×C4—101no—
1348C2×C4—101no—
1349C2×C4—101no—
1350C2×C4—101no—
1351C2×C4—101no—
1352C2×C4—101no—
1353C2×C4—101no—
1354C2×C4—101no—
1355C2×C4—101no—
1356C2×C4—101no—
1357C2×C4—101no—
1358C2×C4—101no—
1359C2×C4—101no—
1360C2×C4—101no—
1361C2×C4—101no—
1362C2×C4—101no—
1363C2×C4—101no—
1364C2×C4—101no—
1365C2×C4—101no—
1366C2×C4—101no—
1367C2×C4—101no—
1368C2×C4—101no—
1369C2×C4—101no—
1370C2×C4—101no—
1371C2×C4—101no—
1372C2×C4—101no—
1373C2×C4—101no—
1374C2×C4—101no—
1375C2×C4—204no—
1376C2×C4—402no—
1377C2×C4—402no—
1378C2×C4—402no—
1379C2×C4—402no—
1380C2×C4—402no—
1381C2×C4—402no—
1382C2×C4—402no—
1383C2×C4#414412yes—
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#6602614yes—
1414C22C2×#414411yescharacteristic
1415C22C2×#414711yescharacteristic
1416C22C2×D5×#4111yescharacteristic
1417C22C2×#414911yescharacteristic
1418C22#6628311yescharacteristic
1419C22#6628311yescharacteristic
1420C22#6628311yescharacteristic
1421C4—22no—
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—201no—
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—
1452C2#1061789011yescharacteristic
1453C2#1061794511yescharacteristic
1454C2#1061795911yescharacteristic
1455C2C2×#6602611yescharacteristic
1456C2#1061805611yescharacteristic
1457C2#1061807411yescharacteristic
1458C2#1061819311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2851C2
prime radicalC2×#4028C22
hypercenter#2851D5
hypocenterC5#36780
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2851

Complements

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

NH ≅ G/Ntype
1. C5×#2851C2semidirect
2. #10614799C2semidirect
3. #10614777C2semidirect
4. #10613809C2semidirect
5. C2×#65229C2semidirect
6. #10608003C2semidirect
7. #10607877C2semidirect
8. #10607852C2semidirect
9. #10607842C2semidirect
10. #10607151C2semidirect
11. #10607150C2semidirect
12. #10607147C2semidirect
13. #10607145C2semidirect
14. #10607143C2semidirect
15. #10607131C2semidirect
16. #10606974C2semidirect
17. #10606947C2semidirect
18. #10606351C2semidirect
20. #10606322C2semidirect
21. #10606233C2semidirect
22. #10606194C2semidirect
23. #10606186C2semidirect
24. #10606155C2semidirect
26. #10605984C2semidirect
27. #10605979C2semidirect
29. #10605648C2semidirect
30. #10605627C2semidirect
31. #10605621C2semidirect
32. C2×C5×#125C22semidirect
46. C2×#4022C22semidirect
47. C5×#389C22semidirect
48. C5×#389C22semidirect
49. C5×#387C22semidirect
50. C5×#387C22semidirect
51. C5×#387C22semidirect
52. C5×#387C22semidirect
57. C5×#382C22semidirect
69. #65283C22semidirect
73. #65282C22semidirect
75. #65281C22semidirect
76. #65281C22semidirect
88. #65278C22semidirect
95. #65276C22semidirect
96. #65275C22semidirect
97. #65273C22semidirect
98. #65273C22semidirect
99. #65273C22semidirect
100. #65272C22semidirect
101. #65271C22semidirect
102. #65271C22semidirect
103. #65270C22semidirect
104. #65270C22semidirect
105. #65269C22semidirect
106. #65269C22semidirect
107. #65269C22semidirect
108. #65268C22semidirect
109. #65268C22semidirect
110. #65267C22semidirect
111. #65267C22semidirect
112. #65263C22semidirect
113. #65261C22semidirect
132. #65229C22semidirect
133. #65229C22semidirect
134. #65229C22semidirect
135. #65226C22semidirect
136. #65222C22semidirect
137. #65222C22semidirect
138. #65222C22semidirect
143. #64964C22semidirect
144. #64964C22semidirect
145. #64964C22semidirect
149. #64962C22semidirect
156. #64957C22semidirect
168. #64953C22semidirect
169. C5⋊#401C22semidirect
170. #64949C22semidirect
171. #64949C22semidirect
172. #64949C22semidirect
173. #64949C22semidirect
174. #64948C22semidirect
175. #64947C22semidirect
176. #64947C22semidirect
177. #64947C22semidirect
178. #64947C22semidirect
179. #64946C22semidirect
180. #64946C22semidirect
181. #64944C22semidirect
182. #64943C22semidirect
183. #64942C22semidirect
184. #64941C22semidirect
185. #64940C22semidirect
186. #64939C22semidirect
359. #2851D5semidirect
556. C2×#125C2×D5semidirect
622. #389C2×D5semidirect
623. #389C2×D5semidirect
650. #387C2×D5semidirect
651. #387C2×D5semidirect
652. #387C2×D5semidirect
653. #387C2×D5semidirect
687. #382C2×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×#28512
#106147992
#106147772
#106138092
C2×#652292
#106080032
#106078772
#106078522
#106078422
#106071512
#106071502
#106071472
#106071452
#106071432
#106071312
#106069742
#106069472
#106063512
#106063232
#106063222
#106062332
#106061942
#106061862
#106061552
#106061372
#106059842
#106059792
#106057492
#106056482
#106056272
#106056212
#367805