Finite Group Databasebeta

← #12307773

Subgroups — #12307773

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×#2419C211yesmaximal, characteristic, complemented
2#10614626C211yesmaximal, characteristic
3#10614597C211yesmaximal, characteristic, complemented
4#10614126C211yesmaximal, characteristic
5#10614092C211yesmaximal, characteristic, complemented
6#10610116C211yesmaximal, characteristic, complemented
7#10610006C211yesmaximal, characteristic, complemented
8#10609723C211yesmaximal, characteristic, complemented
9#10609624C211yesmaximal, characteristic, complemented
10#10609439C211yesmaximal, characteristic, complemented
11#10609365C211yesmaximal, characteristic, complemented
12#10609324C211yesmaximal, characteristic, complemented
13#10609306C211yesmaximal, characteristic, complemented
14#10607152C211yesmaximal, characteristic, complemented
15#10607149C211yesmaximal, characteristic, complemented
16#10607133C211yesmaximal, characteristic, complemented
17#10607124C211yesmaximal, characteristic, complemented
18#10606621C211yesmaximal, characteristic
19#10606601C211yesmaximal, characteristic, complemented
20#10606322C211yesmaximal, characteristic, complemented
21#10606298C211yesmaximal, characteristic, complemented
22#10606251C211yesmaximal, characteristic, complemented
23#10606193C211yesmaximal, characteristic, complemented
24#10605871C211yesmaximal, characteristic, complemented
25#10605861C211yesmaximal, characteristic, complemented
26#10605838C211yesmaximal, characteristic, complemented
27#10605821C211yesmaximal, characteristic, complemented
28#10605729C211yesmaximal, characteristic, complemented
29#10605627C211yesmaximal, characteristic, complemented
30#10605084C211yesmaximal, characteristic, complemented
31C2×#64959C211yesmaximal, characteristic, complemented
32C2×C5×#123C2211yescharacteristic
33C2×C4×C5×D4C2211yescharacteristic
34C2×#4083C2211yescharacteristic
35C22×#685C2211yescharacteristic
36C22×#685C2211yescharacteristic
37C22×#685C2211yescharacteristic
38C22×C4⋊Dic5C2211yescharacteristic
39C22×C4×Dic5C2211yescharacteristic
40C2×#4042C2211yescharacteristic
41C2×#4036C2211yescharacteristic, complemented
42C2×#4029C2211yescharacteristic
43C2×D5×C22⋊C4C2211yescharacteristic
44C2×D5×C22⋊C4C2211yescharacteristic
45C2×#4025C2211yescharacteristic, complemented
46C2×#4024C2211yescharacteristic
47C5×#400C2211yescharacteristic, complemented
48C5×#398C2211yescharacteristic, complemented
49C5×#397C2211yescharacteristic, complemented
50C5×#397C2211yescharacteristic, complemented
51C5×#387C2211yescharacteristic, complemented
52C5×#387C2211yescharacteristic, complemented
53C5×#386C2211yescharacteristic
54C5×#385C2211yescharacteristic
55C5×#385C2211yescharacteristic, complemented
56C5×#381C2211yescharacteristic
57C5×#381C2211yescharacteristic, complemented
58C5×#380C2211yescharacteristic
59C2×C5×#95C2211yescharacteristic
60#65509C2211yescharacteristic
61#65509C2211yescharacteristic
62#65509C2211yescharacteristic
63#65502C2211yescharacteristic
64#65502C2211yescharacteristic
65#65501C2211yescharacteristic
66#65501C2211yescharacteristic, complemented
67#65500C2211yescharacteristic
68#65500C2211yescharacteristic
69#65499C2211yescharacteristic
70#65499C2211yescharacteristic
71#65499C2211yescharacteristic, complemented
72C4×C22⋊Dic5C2211yescharacteristic
73C2×#3963C2211yescharacteristic
74#65283C2211yescharacteristic
75#65282C2211yescharacteristic
76#65282C2211yescharacteristic
77#65281C2211yescharacteristic
78#65279C2211yescharacteristic
79#65279C2211yescharacteristic
80#65278C2211yescharacteristic
81#65278C2211yescharacteristic
82#65278C2211yescharacteristic
83#65276C2211yescharacteristic
84#65276C2211yescharacteristic
85#65276C2211yescharacteristic
86#65276C2211yescharacteristic
87#65275C2211yescharacteristic, complemented
88#65275C2211yescharacteristic, complemented
89#65275C2211yescharacteristic, complemented
90#65274C2211yescharacteristic, complemented
91#65273C2211yescharacteristic, complemented
92#65272C2211yescharacteristic, complemented
93#65272C2211yescharacteristic, complemented
94#65272C2211yescharacteristic, complemented
95#65271C2211yescharacteristic, complemented
96#65270C2211yescharacteristic, complemented
97#65267C2211yescharacteristic, complemented
98#65266C2211yescharacteristic, complemented
99#65262C2211yescharacteristic, complemented
100#65250C2211yescharacteristic
101#65250C2211yescharacteristic
102#65250C2211yescharacteristic
103#65248C2211yescharacteristic
104#65246C2211yescharacteristic
105#65246C2211yescharacteristic
106#65245C2211yescharacteristic
107#65245C2211yescharacteristic
108#65245C2211yescharacteristic
109#65244C2211yescharacteristic
110#65242C2211yescharacteristic, complemented
111#65242C2211yescharacteristic, complemented
112#65240C2211yescharacteristic, complemented
113#65239C2211yescharacteristic
114#65239C2211yescharacteristic
115#65239C2211yescharacteristic
116#65238C2211yescharacteristic, complemented
117#65238C2211yescharacteristic, complemented
118#65237C2211yescharacteristic, complemented
119#65236C2211yescharacteristic, complemented
120#65235C2211yescharacteristic
121#65235C2211yescharacteristic
122#65235C2211yescharacteristic
123#65235C2211yescharacteristic
124#65234C2211yescharacteristic, complemented
125#65233C2211yescharacteristic, complemented
126#65231C2211yescharacteristic
127#65229C2211yescharacteristic
128#65229C2211yescharacteristic
129#65222C2211yescharacteristic, complemented
130#65218C2211yescharacteristic, complemented
131#64965C2211yescharacteristic
132#64964C2211yescharacteristic
133#64964C2211yescharacteristic
134#64964C2211yescharacteristic
135#64963C2211yescharacteristic
136#64963C2211yescharacteristic
137#64963C2211yescharacteristic
138#64962C2211yescharacteristic
139#64959C2211yescharacteristic
140#64959C2211yescharacteristic
141#64959C2211yescharacteristic
142#64959C2211yescharacteristic
143#64959C2211yescharacteristic
144#64959C2211yescharacteristic
145#64959C2211yescharacteristic
146#64959C2211yescharacteristic
147#64957C2211yescharacteristic
148#64957C2211yescharacteristic
149#64957C2211yescharacteristic
150#64957C2211yescharacteristic
151#64957C2211yescharacteristic
152#64957C2211yescharacteristic
153#64956C2211yescharacteristic
154#64956C2211yescharacteristic
155#64956C2211yescharacteristic
156#64953C2211yescharacteristic
157#64953C2211yescharacteristic
158#64953C2211yescharacteristic
159C5⋊#401C2211yescharacteristic, complemented
160#64950C2211yescharacteristic, complemented
161#64950C2211yescharacteristic, complemented
162#64949C2211yescharacteristic, complemented
163#64949C2211yescharacteristic, complemented
164#64949C2211yescharacteristic, complemented
165#64948C2211yescharacteristic, complemented
166#64948C2211yescharacteristic, complemented
167#64947C2211yescharacteristic, complemented
168#64947C2211yescharacteristic, complemented
169#64946C2211yescharacteristic, complemented
170#64946C2211yescharacteristic, complemented
171#64945C2211yescharacteristic, complemented
172#64945C2211yescharacteristic, complemented
173#64944C2211yescharacteristic, complemented
174#64944C2211yescharacteristic, complemented
175#64944C2211yescharacteristic, complemented
176#64944C2211yescharacteristic, complemented
177#64943C2211yescharacteristic, complemented
178#64943C2211yescharacteristic, complemented
179#64942C2211yescharacteristic, complemented
180#64942C2211yescharacteristic, complemented
181#64941C2211yescharacteristic, complemented
182#64941C2211yescharacteristic, complemented
183#64940C2211yescharacteristic, complemented
184#64940C2211yescharacteristic, complemented
185#64939C2211yescharacteristic, complemented
186#64936C2211yescharacteristic, complemented
187#36780—51nomaximal, Sylow
188C24×D5C2311yescharacteristic
189C22×C5×D4C2311yescharacteristic
190C23×C4×C5C2311yescharacteristic
191C23×C4×C5C2311yescharacteristic
192C23×C4×C5C2311yescharacteristic
193C23×C4×C5C2311yescharacteristic
194C22×C22⋊D5C2311yescharacteristic
195C22×C22⋊D5C2311yescharacteristic
196C23×Dic5C2311yescharacteristic
197C23×Dic5C2311yescharacteristic
198C23×Dic5C2311yescharacteristic
199C22×C4×D5C2311yescharacteristic
200C22×C4×D5C2311yescharacteristic
201C22×C4×D5C2311yescharacteristic
202C22×C4×D5C2311yescharacteristic
203C22×Dic10C2311yescharacteristic
204C5×#123—42no—
205C4×C5×D4—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×C22⋊C4C2311yescharacteristic
214C2×C5×C22⋊C4C2311yescharacteristic
215C2×C5×C22⋊C4C2311yescharacteristic
216C2×C5×C22⋊C4C2311yescharacteristic
217C2×C5×C22⋊C4C2311yescharacteristic
218C2×C5×C22⋊C4C2311yescharacteristic
219C2×C5×C22⋊C4C2311yescharacteristic
220C2×C5×C22⋊C4C2311yescharacteristic
221C2×C42×C5C2311yescharacteristic
222C2×C22⋊Dic5C2311yescharacteristic
223C2×C22⋊Dic5C2311yescharacteristic
224C2×C22⋊Dic5C2311yescharacteristic
225C2×C22⋊Dic5C2311yescharacteristic
226C2×C22⋊Dic5C2311yescharacteristic
227C2×C22⋊Dic5C2311yescharacteristic
228C2×C22⋊Dic5C2311yescharacteristic
229C2×C22⋊Dic5C2311yescharacteristic
230C2×C22⋊Dic5C2311yescharacteristic
231C2×C22⋊Dic5C2311yescharacteristic
232#4083—24no—
233C2×#685—24no—
234C2×#685—42no—
235C2×#685—42no—
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×C4⋊Dic5—42no—
259C2×C4⋊Dic5C2311yescharacteristic
260C2×C4⋊Dic5C2311yescharacteristic
261C2×C4⋊Dic5C2311yescharacteristic
262C2×C4⋊Dic5C2311yescharacteristic
263C2×C4⋊Dic5C2311yescharacteristic
264C2×C4⋊Dic5C2311yescharacteristic
265C2×C4⋊Dic5C2311yescharacteristic
266C2×C4⋊Dic5C2311yescharacteristic
267C2×C4⋊Dic5C2311yescharacteristic
268C2×C4⋊Dic5C2311yescharacteristic
269C2×C4⋊Dic5C2311yescharacteristic
270C2×C4⋊Dic5C2311yescharacteristic
271C2×C4⋊Dic5C2311yescharacteristic
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×C4×Dic5—42no—
289C2×C4×Dic5C2311yescharacteristic
290C2×C4×Dic5C2311yescharacteristic
291C2×C4×Dic5C2311yescharacteristic
292C2×C4×Dic5C2311yescharacteristic
293C2×C4×Dic5C2311yescharacteristic
294C2×C4×Dic5C2311yescharacteristic
295#4042—42no—
296#4036—42no—
297#4029—42no—
298D5×C22⋊C4—24no—
299D5×C22⋊C4—42no—
300#4025—42no—
301#4024—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#2627—51no—
377#2623—51no—
378#2505—51no—
379#2493—51no—
380#2483—51no—
381#2450—51no—
382#2437—51no—
383#2419D511yescharacteristic, complemented
384#2412—51no—
385#2412—51no—
386#2321—51no—
387#2315—51no—
388C2×#388—51no—
389C24×C5C2411yescharacteristic
390C24×C5C2411yescharacteristic
391C23×D5—22no—
392C23×D5—22no—
393C23×D5—41no—
394C23×D5—41no—
395C23×D5—41no—
396C23×D5—41no—
397C23×D5#4114yes—
398C23×D5C2411yescharacteristic
399C23×D5C2411yescharacteristic
400C2×C5×D4—22no—
401C2×C5×D4—22no—
402C2×C5×D4—22no—
403C22×C4×C5—22no—
404C22×C4×C5—22no—
405C22×C4×C5—22no—
406C22×C4×C5—22no—
407C22×C4×C5—22no—
408C22×C4×C5—22no—
409C22×C4×C5—41no—
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
428C2×C22⋊D5—22no—
429C2×C22⋊D5—22no—
430C2×C22⋊D5—41no—
431C2×C22⋊D5—41no—
432C2×C22⋊D5—41no—
433C2×C22⋊D5—41no—
434C22×Dic5—22no—
435C22×Dic5—22no—
436C22×Dic5—22no—
437C22×Dic5—41no—
438C22×Dic5—41no—
439C22×Dic5—41no—
440C22×Dic5—41no—
441C22×Dic5—41no—
442C22×Dic5—41no—
443C22×Dic5C2411yescharacteristic
444C22×Dic5C2411yescharacteristic
445C22×Dic5C2411yescharacteristic
446C22×Dic5C2411yescharacteristic
447C22×Dic5C2411yescharacteristic
448C22×Dic5C2411yescharacteristic
449C22×Dic5C2411yescharacteristic
450C22×Dic5C2411yescharacteristic
451C22×Dic5C2411yescharacteristic
452C22×Dic5C2411yescharacteristic
453C22×Dic5C2411yescharacteristic
454C22×Dic5C2411yescharacteristic
455C22×Dic5C2411yescharacteristic
456C22×Dic5C2411yescharacteristic
457C2×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×Dic10—41no—
470C2×Dic10—41no—
471C2×Dic10—41no—
472C5×C4⋊C4—22no—
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×C22⋊C4—22no—
480C5×C22⋊C4—22no—
481C5×C22⋊C4—22no—
482C5×C22⋊C4—22no—
483C5×C22⋊C4—41no—
484C5×C22⋊C4—41no—
485C5×C22⋊C4—41no—
486C5×C22⋊C4—41no—
487C42×C5—41no—
488C22⋊Dic5—22no—
489C22⋊Dic5—22no—
490C22⋊Dic5—22no—
491C22⋊Dic5—22no—
492C22⋊Dic5—41no—
493C22⋊Dic5—41no—
494C22⋊Dic5—41no—
495C22⋊Dic5—41no—
496C22⋊Dic5—41no—
497C22⋊Dic5—41no—
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—22no—
507#685—22no—
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—
520C4⋊Dic5—22no—
521C4⋊Dic5—41no—
522C4⋊Dic5—41no—
523C4⋊Dic5—41no—
524C4⋊Dic5—41no—
525C4⋊Dic5—41no—
526C4⋊Dic5—41no—
527C4⋊Dic5—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—
549C4×Dic5—22no—
550C4×Dic5—22no—
551C4×Dic5—41no—
552C4×Dic5—41no—
553C4×Dic5—41no—
554C4×Dic5—41no—
555C2×#126—51no—
556C2×#125—51no—
557C2×#123—51no—
558C2×#123C2×D511yescharacteristic
559C2×C22⋊Q8—51no—
560C2×C22⋊Q8—51no—
561C2×#120—51no—
562C2×C4×D4C2×D511yescharacteristic
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×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#400—51no—
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#398—51no—
592#398—51no—
593#398—51no—
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#397C2×D511yescharacteristic, complemented
606#397C2×D511yescharacteristic, complemented
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#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#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#386C2×D511yescharacteristic
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, complemented
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, complemented
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×#95C2×D511yescharacteristic
710C23×C5—21no—
711C23×C5—21no—
712C23×C5—21no—
713C23×C5—21no—
714C23×C5—21no—
715C23×C5—21no—
716C23×C5—21no—
717C23×C5—21no—
718C23×C5—21no—
719C23×C5—21no—
720C23×C5—21no—
721C23×C5C2×#4112yes—
722C23×C5H(5,𝔽2)12yes—
723C23×C52−1+412yes—
724C23×C5C2511yescharacteristic
725C22×D5—21no—
726C22×D5—21no—
727C22×D5—21no—
728C22×D5—21no—
729C22×D5—21no—
730C22×D5—21no—
731C22×D5—21no—
732C22×D5—21no—
733C22×D5—21no—
734C22×D5—21no—
735C22×D5—21no—
736C22×D5—21no—
737C22×D5—28no—
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×D4—44no—
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—44no—
786C2×C4×C5—44no—
787C2×C4×C5—82no—
788C2×C4×C5—82no—
789C2×C4×C5H(5,𝔽2)12yes—
790C22⋊D5—82no—
791C22⋊D5—82no—
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—21no—
832C2×Dic5—21no—
833C2×Dic5—21no—
834C2×Dic5—44no—
835C2×Dic5—44no—
836C2×Dic5—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×D4C22×D511yescharacteristic
847C23×C4—51no—
848C23×C4—51no—
849C23×C4—51no—
850C23×C4—51no—
851C23×C4—51no—
852C23×C4—51no—
853C23×C4—51no—
854C23×C4C22×D511yescharacteristic
855C23×C4C22×D511yescharacteristic
856C23×C4C22×D511yescharacteristic
857C23×C4C22×D511yescharacteristic
858#126—202no—
859#125—202no—
860#123—42no—
861#123—202no—
862C22⋊Q8—202no—
863C22⋊Q8—202no—
864#120—104no—
865C4×D4—42no—
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—51no—
891C2×C4⋊C4—51no—
892C2×C4⋊C4—51no—
893C2×C4⋊C4—51no—
894C2×C4⋊C4—51no—
895C2×C4⋊C4—202no—
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—104no—
936C2×C22⋊C4—104no—
937C2×C22⋊C4—202no—
938C2×C22⋊C4—202no—
939C2×C22⋊C4—202no—
940C2×C22⋊C4C22×D511yescharacteristic
941C2×C22⋊C4C22×D511yescharacteristic
942C2×C22⋊C4C22×D511yescharacteristic
943C2×C22⋊C4C22×D511yescharacteristic
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—202no—
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#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—41no—
1019C22×C5—41no—
1020C22×C5—41no—
1021C22×C5—41no—
1022C22×C5—41no—
1023C22×C5—41no—
1024C22×C5—41no—
1025C22×C5#53914yes—
1026C22×C5C22×#4111yescharacteristic
1027C22×C5C2×H(5,𝔽2)11yescharacteristic
1028C22×C5C2×H(5,𝔽2)11yescharacteristic
1029C22×C5C2×2−1+411yescharacteristic
1030C22×C5#58511yescharacteristic
1031C22×C5#58511yescharacteristic
1032C22×C5#58511yescharacteristic
1033C2×D5—22no—
1034C2×D5—22no—
1035C2×D5—22no—
1036C2×D5—22no—
1037C2×D5—22no—
1038C2×D5—22no—
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—
1061Dic5—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—102no—
1079C24—102no—
1080C24—201no—
1081C24—201no—
1082C24—201no—
1083C24—201no—
1084C24C23×D511yescharacteristic
1085C24C23×D511yescharacteristic
1086C2×Q8—201no—
1087C2×Q8—201no—
1088C2×Q8—201no—
1089C2×D4—22no—
1090C2×D4—22no—
1091C2×D4—22no—
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—22no—
1104C22×C4—41no—
1105C22×C4—41no—
1106C22×C4—41no—
1107C22×C4—41no—
1108C22×C4—41no—
1109C22×C4—41no—
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—51no—
1121C22×C4—51no—
1122C22×C4—51no—
1123C22×C4—51no—
1124C22×C4—102no—
1125C22×C4—102no—
1126C22×C4—102no—
1127C22×C4—102no—
1128C22×C4—102no—
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×C4—201no—
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—41no—
1160C4⋊C4—41no—
1161C4⋊C4—41no—
1162C4⋊C4—41no—
1163C4⋊C4—41no—
1164C4⋊C4—41no—
1165C4⋊C4—102no—
1166C4⋊C4—102no—
1167C4⋊C4—201no—
1168C4⋊C4—201no—
1169C4⋊C4—201no—
1170C4⋊C4—201no—
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—41no—
1199C22⋊C4—41no—
1200C22⋊C4—41no—
1201C22⋊C4—41no—
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—102no—
1213C22⋊C4—102no—
1214C22⋊C4—102no—
1215C22⋊C4—102no—
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—41no—
1235C42—102no—
1236C42—102no—
1237C42—201no—
1238C42—201no—
1239C42—201no—
1240C42—201no—
1241C2×C5—24no—
1242C2×C5—81no—
1243C2×C5C2×#53911yescharacteristic
1244C2×C5#349111yescharacteristic
1245C2×C5#350511yescharacteristic
1246C2×C5#353511yescharacteristic
1247C2×C5#354211yescharacteristic
1248C2×C5#354511yescharacteristic
1249C2×C5#356411yescharacteristic
1250D5—42no—
1251D5—42no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—52no—
1264C23—52no—
1265C23—101no—
1266C23—101no—
1267C23—101no—
1268C23—101no—
1269C23—101no—
1270C23—101no—
1271C23—101no—
1272C23—101no—
1273C23—101no—
1274C23—101no—
1275C23—101no—
1276C23—101no—
1277C23—108no—
1278C23—204no—
1279C23—204no—
1280C23—402no—
1281C23—402no—
1282C23—402no—
1283C23—402no—
1284C23#414412yes—
1285C23D5×#4112yes—
1286C23#415012yes—
1287C23C24×D511yescharacteristic
1288Q8—402no—
1289D4—44no—
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—44no—
1331C2×C4—44no—
1332C2×C4—82no—
1333C2×C4—82no—
1334C2×C4—101no—
1335C2×C4—101no—
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—101no—
1376C2×C4—204no—
1377C2×C4—204no—
1378C2×C4—402no—
1379C2×C4—402no—
1380C2×C4—402no—
1381C2×C4—402no—
1382C2×C4—402no—
1383C2×C4#414912yes—
1384C5#3678011yescharacteristic, complemented, Sylow
1385C22—22no—
1386C22—22no—
1387C22—22no—
1388C22—22no—
1389C22—22no—
1390C22—22no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—102no—
1399C22—102no—
1400C22—102no—
1401C22—102no—
1402C22—102no—
1403C22—102no—
1404C22—201no—
1405C22—201no—
1406C22—201no—
1407C22—201no—
1408C22—201no—
1409C22—201no—
1410C22—201no—
1411C22—201no—
1412C22—408no—
1413C22#6599414yes—
1414C22C2×#414411yescharacteristic
1415C22C2×D5×#4111yescharacteristic
1416C22C2×#414911yescharacteristic
1417C22C2×#415011yescharacteristic
1418C22#6628311yescharacteristic
1419C22#6628511yescharacteristic
1420C22#6628711yescharacteristic
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—201no—
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—81no—
1450C2—202no—
1451C2—202no—
1452C2C2×#6599411yescharacteristic
1453C2#1061805911yescharacteristic
1454C2#1061835411yescharacteristic
1455C2#1061855311yescharacteristic
1456C2#1061859211yescharacteristic
1457C2#1061870311yescharacteristic
1458C2#1061875411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2419C2
prime radicalC2×#4083C22
hypercenter#2419D5
hypocenterC5#36780
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2419

Complements

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

NH ≅ G/Ntype
1. C5×#2419C2semidirect
3. #10614597C2semidirect
5. #10614092C2semidirect
6. #10610116C2semidirect
7. #10610006C2semidirect
8. #10609723C2semidirect
9. #10609624C2semidirect
10. #10609439C2semidirect
11. #10609365C2semidirect
12. #10609324C2semidirect
13. #10609306C2semidirect
14. #10607152C2semidirect
15. #10607149C2semidirect
16. #10607133C2semidirect
17. #10607124C2semidirect
19. #10606601C2semidirect
20. #10606322C2semidirect
21. #10606298C2semidirect
22. #10606251C2semidirect
23. #10606193C2semidirect
24. #10605871C2semidirect
25. #10605861C2semidirect
26. #10605838C2semidirect
27. #10605821C2semidirect
28. #10605729C2semidirect
29. #10605627C2semidirect
30. #10605084C2semidirect
31. C2×#64959C2semidirect
41. C2×#4036C22semidirect
45. C2×#4025C22semidirect
47. C5×#400C22semidirect
48. C5×#398C22semidirect
49. C5×#397C22semidirect
50. C5×#397C22semidirect
51. C5×#387C22semidirect
52. C5×#387C22semidirect
55. C5×#385C22semidirect
57. C5×#381C22semidirect
66. #65501C22semidirect
71. #65499C22semidirect
87. #65275C22semidirect
88. #65275C22semidirect
89. #65275C22semidirect
90. #65274C22semidirect
91. #65273C22semidirect
92. #65272C22semidirect
93. #65272C22semidirect
94. #65272C22semidirect
95. #65271C22semidirect
96. #65270C22semidirect
97. #65267C22semidirect
98. #65266C22semidirect
99. #65262C22semidirect
110. #65242C22semidirect
111. #65242C22semidirect
112. #65240C22semidirect
116. #65238C22semidirect
117. #65238C22semidirect
118. #65237C22semidirect
119. #65236C22semidirect
124. #65234C22semidirect
125. #65233C22semidirect
129. #65222C22semidirect
130. #65218C22semidirect
159. C5⋊#401C22semidirect
160. #64950C22semidirect
161. #64950C22semidirect
162. #64949C22semidirect
163. #64949C22semidirect
164. #64949C22semidirect
165. #64948C22semidirect
166. #64948C22semidirect
167. #64947C22semidirect
168. #64947C22semidirect
169. #64946C22semidirect
170. #64946C22semidirect
171. #64945C22semidirect
172. #64945C22semidirect
173. #64944C22semidirect
174. #64944C22semidirect
175. #64944C22semidirect
176. #64944C22semidirect
177. #64943C22semidirect
178. #64943C22semidirect
179. #64942C22semidirect
180. #64942C22semidirect
181. #64941C22semidirect
182. #64941C22semidirect
183. #64940C22semidirect
184. #64940C22semidirect
185. #64939C22semidirect
186. #64936C22semidirect
383. #2419D5semidirect
582. #400C2×D5semidirect
594. #398C2×D5semidirect
605. #397C2×D5semidirect
606. #397C2×D5semidirect
652. #387C2×D5semidirect
653. #387C2×D5semidirect
683. #385C2×D5semidirect
694. #381C2×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×#24192
#106146262
#106145972
#106141262
#106140922
#106101162
#106100062
#106097232
#106096242
#106094392
#106093652
#106093242
#106093062
#106071522
#106071492
#106071332
#106071242
#106066212
#106066012
#106063222
#106062982
#106062512
#106061932
#106058712
#106058612
#106058382
#106058212
#106057292
#106056272
#106050842
C2×#649592
#367805