Finite Group Databasebeta

← #12307208

Subgroups — #12307208

Order 1280.

1662 conjugacy classes of subgroups.

The subgroup lattice has 1404 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2716C211yesmaximal, characteristic, complemented
2#10615000C211yesmaximal, characteristic, complemented
3#10614979C211yesmaximal, characteristic, complemented
4#10614832C211yesmaximal, characteristic, complemented
5#10614812C211yesmaximal, characteristic
6#10610083C211yesmaximal, characteristic, complemented
7#10609980C211yesmaximal, characteristic, complemented
8#10609597C211yesmaximal, characteristic, complemented
9#10609489C211yesmaximal, characteristic, complemented
10#10609349C211yesmaximal, characteristic, complemented
11#10609212C211yesmaximal, characteristic
12#10609097C211yesmaximal, characteristic, complemented
13#10609034C211yesmaximal, characteristic
14#10608602C211yesmaximal, characteristic
15#10608602C211yesmaximal, characteristic
16#10608581C211yesmaximal, characteristic, complemented
17#10608570C211yesmaximal, characteristic, complemented
18#10608343C211yesmaximal, characteristic, complemented
19#10608343C211yesmaximal, characteristic, complemented
20#10608323C211yesmaximal, characteristic, complemented
21#10608306C211yesmaximal, characteristic, complemented
22D5×#388C211yesmaximal, characteristic
23#10607509C211yesmaximal, characteristic, complemented
24#10607430C211yesmaximal, characteristic, complemented
25#10607271C211yesmaximal, characteristic
26#10607176C211yesmaximal, characteristic, complemented
27#10607071C211yesmaximal, characteristic, complemented
28#10606971C211yesmaximal, characteristic, complemented
29#10606948C211yesmaximal, characteristic, complemented
30#10606902C211yesmaximal, characteristic, complemented
31#10606740C211yesmaximal, characteristic, complemented
32C2×C5×C4⋊Q8C2211yescharacteristic, complemented
33C2×C5×#126C2211yescharacteristic
34C2×#4092C2211yescharacteristic
35C2×#4092C2211yescharacteristic
36C2×#4044C2211yescharacteristic
37C2×#4044C2211yescharacteristic
38C2×D5×C4⋊C4C2211yescharacteristic
39C2×#4036C2211yescharacteristic, complemented
40C2×#4035C2211yescharacteristic, complemented
41C2×#4035C2211yescharacteristic, complemented
42C2×D5×C22⋊C4C2211yescharacteristic
43C2×D5×C22⋊C4C2211yescharacteristic
44C2×D5×C22⋊C4C2211yescharacteristic
45C2×#4025C2211yescharacteristic
46C2×C42×D5C2211yescharacteristic
47C5×#400C2211yescharacteristic, complemented
48C5×#398C2211yescharacteristic, complemented
49C5×#397C2211yescharacteristic
50C5×#396C2211yescharacteristic
51C5×#393C2211yescharacteristic
52C5×#393C2211yescharacteristic
53C5×#391C2211yescharacteristic, complemented
54C5×#391C2211yescharacteristic, complemented
55C5×#388C2211yescharacteristic
56C5×#388C2211yescharacteristic
57C5×#387C2211yescharacteristic, complemented
58C5×#387C2211yescharacteristic, complemented
59C5×#387C2211yescharacteristic, complemented
60#65520C2211yescharacteristic
61#65520C2211yescharacteristic
62#65519C2211yescharacteristic, complemented
63#65519C2211yescharacteristic, complemented
64#65519C2211yescharacteristic, complemented
65#65519C2211yescharacteristic, complemented
66#65283C2211yescharacteristic
67#65283C2211yescharacteristic
68#65282C2211yescharacteristic
69#65282C2211yescharacteristic
70#65279C2211yescharacteristic
71#65279C2211yescharacteristic
72#65279C2211yescharacteristic
73#65278C2211yescharacteristic
74#65278C2211yescharacteristic
75#65278C2211yescharacteristic
76#65278C2211yescharacteristic
77#65276C2211yescharacteristic
78#65276C2211yescharacteristic
79#65276C2211yescharacteristic
80#65276C2211yescharacteristic
81#65274C2211yescharacteristic, complemented
82#65273C2211yescharacteristic, complemented
83#65272C2211yescharacteristic, complemented
84#65272C2211yescharacteristic, complemented
85#65271C2211yescharacteristic, complemented
86#65270C2211yescharacteristic, complemented
87#65270C2211yescharacteristic, complemented
88#65267C2211yescharacteristic, complemented
89#65262C2211yescharacteristic, complemented
90#65262C2211yescharacteristic, complemented
91#65262C2211yescharacteristic, complemented
92#65262C2211yescharacteristic, complemented
93#65261C2211yescharacteristic, complemented
94#65261C2211yescharacteristic, complemented
95#65261C2211yescharacteristic, complemented
96#65244C2211yescharacteristic
97#65244C2211yescharacteristic
98#65244C2211yescharacteristic
99#65244C2211yescharacteristic
100#65242C2211yescharacteristic
101#65242C2211yescharacteristic
102#65242C2211yescharacteristic
103#65241C2211yescharacteristic
104#65241C2211yescharacteristic
105#65240C2211yescharacteristic
106#65240C2211yescharacteristic
107#65240C2211yescharacteristic
108#65240C2211yescharacteristic
109#65238C2211yescharacteristic
110#65238C2211yescharacteristic
111#65237C2211yescharacteristic
112#65237C2211yescharacteristic
113#65237C2211yescharacteristic
114#65237C2211yescharacteristic
115#65237C2211yescharacteristic
116#65234C2211yescharacteristic
117#65234C2211yescharacteristic
118#65233C2211yescharacteristic
119#65233C2211yescharacteristic
120#65229C2211yescharacteristic
121#65229C2211yescharacteristic
122#65229C2211yescharacteristic
123C4×#685C2211yescharacteristic
124C4×#685C2211yescharacteristic
125#65225C2211yescharacteristic, complemented
126#65224C2211yescharacteristic, complemented
127#65222C2211yescharacteristic, complemented
128#65222C2211yescharacteristic, complemented
129#65222C2211yescharacteristic, complemented
130#65217C2211yescharacteristic, complemented
131#64966C2211yescharacteristic
132#64966C2211yescharacteristic
133#64965C2211yescharacteristic
134#64965C2211yescharacteristic
135#64965C2211yescharacteristic
136#64965C2211yescharacteristic
137#64964C2211yescharacteristic
138#64964C2211yescharacteristic
139#64963C2211yescharacteristic
140#64963C2211yescharacteristic
141#64959C2211yescharacteristic
142#64959C2211yescharacteristic
143#64959C2211yescharacteristic
144#64958C2211yescharacteristic
145#64957C2211yescharacteristic
146#64957C2211yescharacteristic
147#64957C2211yescharacteristic
148#64957C2211yescharacteristic
149#64957C2211yescharacteristic
150#64957C2211yescharacteristic
151#64957C2211yescharacteristic
152#64957C2211yescharacteristic
153#64956C2211yescharacteristic
154#64956C2211yescharacteristic
155#64955C2211yescharacteristic
156#64955C2211yescharacteristic
157D5×#95C2211yescharacteristic
158D5×#95C2211yescharacteristic
159#64950C2211yescharacteristic, 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#64946C2211yescharacteristic, complemented
169#64944C2211yescharacteristic, complemented
170#64944C2211yescharacteristic, complemented
171#64943C2211yescharacteristic, complemented
172#64943C2211yescharacteristic, complemented
173#64943C2211yescharacteristic, complemented
174#64943C2211yescharacteristic, complemented
175#64942C2211yescharacteristic, complemented
176#64942C2211yescharacteristic, complemented
177#64942C2211yescharacteristic, complemented
178#64941C2211yescharacteristic, complemented
179#64941C2211yescharacteristic, complemented
180#64939C2211yescharacteristic, complemented
181#64939C2211yescharacteristic, complemented
182#64936C2211yescharacteristic, complemented
183#64936C2211yescharacteristic, complemented
184#64936C2211yescharacteristic, complemented
185#64936C2211yescharacteristic, complemented
186#64936C2211yescharacteristic, complemented
187#36760—51nomaximal, Sylow
188C24×D5C2311yescharacteristic
189C22×C5×Q8C2311yescharacteristic
190C22×C5×Q8C2311yescharacteristic
191C22×C4×D5C2311yescharacteristic
192C22×C4×D5C2311yescharacteristic
193C22×C4×D5C2311yescharacteristic
194C22×C4×D5C2311yescharacteristic
195C22×C4×D5C2311yescharacteristic
196C22×C4×D5C2311yescharacteristic
197C5×C4⋊Q8—42no—
198C5×#126—42no—
199C2×C5×C4⋊C4C2311yescharacteristic
200C2×C5×C4⋊C4C2311yescharacteristic
201C2×C5×C4⋊C4C2311yescharacteristic
202C2×C5×C4⋊C4C2311yescharacteristic
203C2×C5×C4⋊C4C2311yescharacteristic
204C2×C5×C4⋊C4C2311yescharacteristic
205C2×C5×C4⋊C4C2311yescharacteristic
206C2×C5×C4⋊C4C2311yescharacteristic
207C2×C5×C4⋊C4C2311yescharacteristic
208C2×C5×C22⋊C4C2311yescharacteristic
209C2×C5×C22⋊C4C2311yescharacteristic
210C2×C5×C22⋊C4C2311yescharacteristic
211C2×C5×C22⋊C4C2311yescharacteristic
212C2×C5×C22⋊C4C2311yescharacteristic
213C2×C5×C22⋊C4C2311yescharacteristic
214C2×C5×C22⋊C4C2311yescharacteristic
215C2×C42×C5C2311yescharacteristic
216C2×C42×C5C2311yescharacteristic
217C2×C42×C5C2311yescharacteristic
218C2×C22⋊Dic5C2311yescharacteristic
219C2×C22⋊Dic5C2311yescharacteristic
220C2×C22⋊Dic5C2311yescharacteristic
221C2×C22⋊Dic5C2311yescharacteristic
222C2×C22⋊Dic5C2311yescharacteristic
223C2×C22⋊Dic5C2311yescharacteristic
224C2×C22⋊Dic5C2311yescharacteristic
225#4092—24no—
226#4092—24no—
227C2×#685C2311yescharacteristic
228C2×#685C2311yescharacteristic
229C2×#685C2311yescharacteristic
230C2×#685C2311yescharacteristic
231C2×#685C2311yescharacteristic
232C2×#685C2311yescharacteristic
233C2×#685C2311yescharacteristic
234C2×#685C2311yescharacteristic
235C2×#685C2311yescharacteristic
236C2×#685C2311yescharacteristic
237C2×#685C2311yescharacteristic
238C2×#685C2311yescharacteristic
239C2×#685C2311yescharacteristic
240C2×#685C2311yescharacteristic
241C2×#685C2311yescharacteristic
242C2×#685C2311yescharacteristic
243C2×#685C2311yescharacteristic
244C2×#685C2311yescharacteristic
245C2×#685C2311yescharacteristic
246C2×#685C2311yescharacteristic
247C2×#685C2311yescharacteristic
248C2×#685C2311yescharacteristic
249C2×C4⋊Dic5C2311yescharacteristic
250C2×C4⋊Dic5C2311yescharacteristic
251C2×C4⋊Dic5C2311yescharacteristic
252C2×C4⋊Dic5C2311yescharacteristic
253C2×C4⋊Dic5C2311yescharacteristic
254C2×C4⋊Dic5C2311yescharacteristic
255C2×C4⋊Dic5C2311yescharacteristic
256C2×C4⋊Dic5C2311yescharacteristic
257C2×C4⋊Dic5C2311yescharacteristic
258C2×C4⋊Dic5C2311yescharacteristic
259C2×C4⋊Dic5C2311yescharacteristic
260C2×C4⋊Dic5C2311yescharacteristic
261C2×C4⋊Dic5C2311yescharacteristic
262C2×C4⋊Dic5C2311yescharacteristic
263C2×C4⋊Dic5C2311yescharacteristic
264C2×#683C2311yescharacteristic
265C2×#683C2311yescharacteristic
266C2×#683C2311yescharacteristic
267C2×#683C2311yescharacteristic
268C2×#683C2311yescharacteristic
269C2×#683C2311yescharacteristic
270C2×#683C2311yescharacteristic
271C2×#683C2311yescharacteristic
272C2×#683C2311yescharacteristic
273C2×#683C2311yescharacteristic
274C2×#683C2311yescharacteristic
275C2×#683C2311yescharacteristic
276C2×#683C2311yescharacteristic
277C2×#683C2311yescharacteristic
278C2×#683C2311yescharacteristic
279C2×#683C2311yescharacteristic
280C2×#683C2311yescharacteristic
281C2×#683C2311yescharacteristic
282C2×#683C2311yescharacteristic
283C2×#683C2311yescharacteristic
284C2×#683C2311yescharacteristic
285C2×#683C2311yescharacteristic
286C2×C4×Dic5C2311yescharacteristic
287C2×C4×Dic5C2311yescharacteristic
288C2×C4×Dic5C2311yescharacteristic
289C2×C4×Dic5C2311yescharacteristic
290C2×C4×Dic5C2311yescharacteristic
291C2×C4×Dic5C2311yescharacteristic
292C2×C4×Dic5C2311yescharacteristic
293C2×C4×Dic5C2311yescharacteristic
294C2×C4×Dic5C2311yescharacteristic
295#4044—42no—
296#4044—42no—
297D5×C4⋊C4—42no—
298#4036—42no—
299#4035—42no—
300#4035—42no—
301D5×C22⋊C4—24no—
302D5×C22⋊C4—42no—
303D5×C22⋊C4—42no—
304#4025—42no—
305C42×D5—42no—
306C5×#95C2311yescharacteristic
307C5×#95C2311yescharacteristic
308C5×#95C2311yescharacteristic
309C5×#95C2311yescharacteristic
310C5×#95C2311yescharacteristic
311C5×#95C2311yescharacteristic
312C5×#95C2311yescharacteristic
313C5×#95C2311yescharacteristic
314C5×#95C2311yescharacteristic
315C5×#95C2311yescharacteristic
316C5×#95C2311yescharacteristic
317C5×#95C2311yescharacteristic
318C5×#95C2311yescharacteristic
319C5×#95C2311yescharacteristic
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#2857—51no—
359#2851—51no—
360#2798—51no—
361#2798—51no—
362#2783—51no—
363#2783—51no—
364#2772—51no—
365#2772—51no—
366#2754—51no—
367#2754—51no—
368#2725—51no—
369#2725—51no—
370#2725—51no—
371#2725—51no—
372#2721—51no—
373#2721—51no—
374#2716—51no—
375#2716D511yescharacteristic, complemented
376#2626—51no—
377#2626—51no—
378#2505—51no—
379#2505—51no—
380#2480—51no—
381#2480—51no—
382#2480—51no—
383#2480—51no—
384#2473—51no—
385#2473—51no—
386#2329—51no—
387#2329—51no—
388C2×#388—51no—
389C24×C5C2411yescharacteristic
390C23×D5—22no—
391C23×D5—22no—
392C23×D5—22no—
393C23×D5—41no—
394C23×D5—41no—
395C23×D5—41no—
396C23×D5—41no—
397C23×D5C2411yescharacteristic
398C23×D5C2411yescharacteristic
399C2×C5×Q8—22no—
400C2×C5×Q8—22no—
401C2×C5×Q8—41no—
402C2×C5×Q8—41no—
403C2×C5×Q8—41no—
404C2×C5×Q8—41no—
405C22×C4×C5C2411yescharacteristic
406C22×C4×C5C2411yescharacteristic
407C22×C4×C5C2411yescharacteristic
408C22×C4×C5C2411yescharacteristic
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×Dic5C2411yescharacteristic
420C22×Dic5C2411yescharacteristic
421C22×Dic5C2411yescharacteristic
422C22×Dic5C2411yescharacteristic
423C22×Dic5C2411yescharacteristic
424C22×Dic5C2411yescharacteristic
425C22×Dic5C2411yescharacteristic
426C22×Dic5C2411yescharacteristic
427C22×Dic5C2411yescharacteristic
428C22×Dic5C2411yescharacteristic
429C22×Dic5C2411yescharacteristic
430C22×Dic5C2411yescharacteristic
431C22×Dic5C2411yescharacteristic
432C22×Dic5C2411yescharacteristic
433C2×C4×D5—22no—
434C2×C4×D5—22no—
435C2×C4×D5—22no—
436C2×C4×D5—22no—
437C2×C4×D5—22no—
438C2×C4×D5—22no—
439C2×C4×D5—22no—
440C2×C4×D5—41no—
441C2×C4×D5—41no—
442C2×C4×D5—41no—
443C2×C4×D5—41no—
444C2×C4×D5—41no—
445C2×C4×D5—41no—
446C2×C4×D5—41no—
447C2×C4×D5—41no—
448C2×C4×D5—41no—
449C2×C4×D5—41no—
450C2×C4×D5#4114yes—
451C5×C4⋊C4—22no—
452C5×C4⋊C4—22no—
453C5×C4⋊C4—22no—
454C5×C4⋊C4—22no—
455C5×C4⋊C4—22no—
456C5×C4⋊C4—41no—
457C5×C4⋊C4—41no—
458C5×C4⋊C4—41no—
459C5×C4⋊C4—41no—
460C5×C22⋊C4—22no—
461C5×C22⋊C4—22no—
462C5×C22⋊C4—22no—
463C5×C22⋊C4—41no—
464C5×C22⋊C4—41no—
465C5×C22⋊C4—41no—
466C5×C22⋊C4—41no—
467C42×C5—22no—
468C42×C5—41no—
469C42×C5—41no—
470C22⋊Dic5—22no—
471C22⋊Dic5—41no—
472C22⋊Dic5—41no—
473C22⋊Dic5—41no—
474C22⋊Dic5—41no—
475C22⋊Dic5—41no—
476C22⋊Dic5—41no—
477#685—22no—
478#685—22no—
479#685—22no—
480#685—22no—
481#685—22no—
482#685—22no—
483#685—22no—
484#685—22no—
485#685—22no—
486#685—22no—
487#685—22no—
488#685—22no—
489#685—41no—
490#685—41no—
491#685—41no—
492#685—41no—
493#685—41no—
494#685—41no—
495#685—41no—
496#685—41no—
497#685—41no—
498#685—41no—
499C4⋊Dic5—22no—
500C4⋊Dic5—22no—
501C4⋊Dic5—22no—
502C4⋊Dic5—22no—
503C4⋊Dic5—41no—
504C4⋊Dic5—41no—
505C4⋊Dic5—41no—
506C4⋊Dic5—41no—
507C4⋊Dic5—41no—
508C4⋊Dic5—41no—
509C4⋊Dic5—41no—
510C4⋊Dic5—41no—
511C4⋊Dic5—41no—
512C4⋊Dic5—41no—
513C4⋊Dic5—41no—
514#683—22no—
515#683—22no—
516#683—22no—
517#683—22no—
518#683—22no—
519#683—22no—
520#683—22no—
521#683—41no—
522#683—41no—
523#683—41no—
524#683—41no—
525#683—41no—
526#683—41no—
527#683—41no—
528#683—41no—
529#683—41no—
530#683—41no—
531#683—41no—
532#683—41no—
533#683—41no—
534#683—41no—
535#683—41no—
536C4×Dic5—22no—
537C4×Dic5—41no—
538C4×Dic5—41no—
539C4×Dic5—41no—
540C4×Dic5—41no—
541C4×Dic5—41no—
542C4×Dic5—41no—
543C4×Dic5—41no—
544C4×Dic5—41no—
545C2×C4⋊Q8C2×D511yescharacteristic, complemented
546C2×#126—51no—
547C2×#126—51no—
548C2×#126—51no—
549C2×#126C2×D511yescharacteristic
550C2×#125—51no—
551C2×#125—51no—
552C2×#125—51no—
553C2×C22⋊Q8—51no—
554C2×C22⋊Q8—51no—
555C22×C4⋊C4—51no—
556C22×C22⋊C4—51no—
557C22×C22⋊C4—51no—
558C22×C22⋊C4—51no—
559C22×C42—51no—
560#400—51no—
561#400—51no—
562#400—51no—
563#400—51no—
564#400—51no—
565#400—51no—
566#400—51no—
567#400C2×D511yescharacteristic, complemented
568#399—51no—
569#399—51no—
570#399—51no—
571#399—51no—
572#398—51no—
573#398—51no—
574#398—51no—
575#398—51no—
576#398—51no—
577#398—51no—
578#398—51no—
579#398C2×D511yescharacteristic, complemented
580#397—51no—
581#397—51no—
582#397—51no—
583#397—51no—
584#397—51no—
585#397—51no—
586#397—51no—
587#397—51no—
588#397—51no—
589#397—51no—
590#397—51no—
591#397C2×D511yescharacteristic
592#396—51no—
593#396—51no—
594#396—51no—
595#396—51no—
596#396—51no—
597#396—51no—
598#396—51no—
599#396—51no—
600#396—51no—
601#396—51no—
602#396—51no—
603#396C2×D511yescharacteristic
604#393—51no—
605#393—51no—
606#393C2×D511yescharacteristic
607#393C2×D511yescharacteristic
608#391—51no—
609#391—51no—
610#391—51no—
611#391—51no—
612#391C2×D511yescharacteristic, complemented
613#391C2×D511yescharacteristic, complemented
614#389—51no—
615#389—51no—
616#389—51no—
617#389—51no—
618#389—51no—
619#389—51no—
620#389—51no—
621#389—51no—
622#389—51no—
623#389—51no—
624#389—51no—
625#389—51no—
626#389—51no—
627#389—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#388—51no—
640#388—51no—
641#388—51no—
642#388—51no—
643#388—51no—
644#388—51no—
645#388—51no—
646#388C2×D511yescharacteristic
647#388C2×D511yescharacteristic
648#387—51no—
649#387—51no—
650#387—51no—
651#387—51no—
652#387—51no—
653#387—51no—
654#387—51no—
655#387—51no—
656#387—51no—
657#387—51no—
658#387—51no—
659#387—51no—
660#387—51no—
661#387—51no—
662#387—51no—
663#387—51no—
664#387—51no—
665#387C2×D511yescharacteristic, complemented
666#387C2×D511yescharacteristic, complemented
667#387C2×D511yescharacteristic, complemented
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#384—51no—
681#382—51no—
682#382—51no—
683#382—51no—
684#380—51no—
685#380—51no—
686#380—51no—
687#380—51no—
688#380—51no—
689#380—51no—
690#379—51no—
691#379—51no—
692#379—51no—
693#379—51no—
694C4×C22⋊C4—51no—
695C4×C22⋊C4—51no—
696C4×C22⋊C4—51no—
697C4×C22⋊C4—51no—
698C2×#95—51no—
699C2×#95—51no—
700C23×C5—21no—
701C23×C5—21no—
702C23×C5—21no—
703C23×C5—21no—
704C23×C5—21no—
705C23×C5—21no—
706C23×C5—21no—
707C23×C5C2511yescharacteristic
708C22×D5—21no—
709C22×D5—21no—
710C22×D5—21no—
711C22×D5—21no—
712C22×D5—21no—
713C22×D5—21no—
714C22×D5—21no—
715C22×D5—21no—
716C22×D5—21no—
717C22×D5—21no—
718C22×D5—21no—
719C22×D5—44no—
720C22×D5—44no—
721C22×D5—44no—
722C22×D5—82no—
723C22×D5—82no—
724C22×D5—82no—
725C22×D5—82no—
726C22×D5C2×#4112yes—
727C22×D52−1+412yes—
728C22×D52−1+412yes—
729C5×Q8—82no—
730C5×Q8—82no—
731C2×C4×C5—21no—
732C2×C4×C5—21no—
733C2×C4×C5—21no—
734C2×C4×C5—21no—
735C2×C4×C5—21no—
736C2×C4×C5—21no—
737C2×C4×C5—21no—
738C2×C4×C5—21no—
739C2×C4×C5—21no—
740C2×C4×C5—21no—
741C2×C4×C5—21no—
742C2×C4×C5—21no—
743C2×C4×C5—21no—
744C2×C4×C5—21no—
745C2×C4×C5—21no—
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×C5C2×#4112yes—
771C2×C4×C5H(5,𝔽2)12yes—
772C2×C4×C5H(5,𝔽2)12yes—
773C2×Dic5—21no—
774C2×Dic5—21no—
775C2×Dic5—21no—
776C2×Dic5—21no—
777C2×Dic5—21no—
778C2×Dic5—21no—
779C2×Dic5—21no—
780C2×Dic5—21no—
781C2×Dic5—21no—
782C2×Dic5—21no—
783C2×Dic5—21no—
784C2×Dic5—21no—
785C2×Dic5—21no—
786C2×Dic5—21no—
787C2×Dic5—21no—
788C2×Dic5—21no—
789C2×Dic5—21no—
790C2×Dic5—21no—
791C2×Dic5—21no—
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×Dic5C2×#4112yes—
815C4×D5—44no—
816C4×D5—44no—
817C4×D5—44no—
818C4×D5—44no—
819C4×D5—82no—
820C4×D5—82no—
821C25—51no—
822C22×Q8C22×D511yescharacteristic
823C22×Q8C22×D511yescharacteristic
824C23×C4—51no—
825C23×C4—51no—
826C23×C4—51no—
827C23×C4—51no—
828C23×C4—51no—
829C23×C4—51no—
830C4⋊Q8—42no—
831#126—42no—
832#126—202no—
833#126—202no—
834#126—202no—
835#125—202no—
836#125—202no—
837#125—202no—
838C22⋊Q8—104no—
839C22⋊Q8—104no—
840C2×C4⋊C4—51no—
841C2×C4⋊C4—51no—
842C2×C4⋊C4—51no—
843C2×C4⋊C4—51no—
844C2×C4⋊C4—51no—
845C2×C4⋊C4—51no—
846C2×C4⋊C4—51no—
847C2×C4⋊C4—51no—
848C2×C4⋊C4—51no—
849C2×C4⋊C4—51no—
850C2×C4⋊C4—51no—
851C2×C4⋊C4—51no—
852C2×C4⋊C4—51no—
853C2×C4⋊C4—51no—
854C2×C4⋊C4—51no—
855C2×C4⋊C4—51no—
856C2×C4⋊C4—51no—
857C2×C4⋊C4—51no—
858C2×C4⋊C4—51no—
859C2×C4⋊C4—51no—
860C2×C4⋊C4—51no—
861C2×C4⋊C4—51no—
862C2×C4⋊C4—51no—
863C2×C4⋊C4—51no—
864C2×C4⋊C4—51no—
865C2×C4⋊C4—51no—
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—202no—
878C2×C4⋊C4C22×D511yescharacteristic
879C2×C4⋊C4C22×D511yescharacteristic
880C2×C4⋊C4C22×D511yescharacteristic
881C2×C4⋊C4C22×D511yescharacteristic
882C2×C4⋊C4C22×D511yescharacteristic
883C2×C4⋊C4C22×D511yescharacteristic
884C2×C4⋊C4C22×D511yescharacteristic
885C2×C4⋊C4C22×D511yescharacteristic
886C2×C4⋊C4C22×D511yescharacteristic
887C2×C22⋊C4—51no—
888C2×C22⋊C4—51no—
889C2×C22⋊C4—51no—
890C2×C22⋊C4—51no—
891C2×C22⋊C4—51no—
892C2×C22⋊C4—51no—
893C2×C22⋊C4—51no—
894C2×C22⋊C4—51no—
895C2×C22⋊C4—51no—
896C2×C22⋊C4—51no—
897C2×C22⋊C4—51no—
898C2×C22⋊C4—51no—
899C2×C22⋊C4—51no—
900C2×C22⋊C4—51no—
901C2×C22⋊C4—51no—
902C2×C22⋊C4—51no—
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—104no—
917C2×C22⋊C4—202no—
918C2×C22⋊C4—202no—
919C2×C22⋊C4C22×D511yescharacteristic
920C2×C22⋊C4C22×D511yescharacteristic
921C2×C22⋊C4C22×D511yescharacteristic
922C2×C22⋊C4C22×D511yescharacteristic
923C2×C22⋊C4C22×D511yescharacteristic
924C2×C22⋊C4C22×D511yescharacteristic
925C2×C22⋊C4C22×D511yescharacteristic
926C2×C42—51no—
927C2×C42—51no—
928C2×C42—51no—
929C2×C42—51no—
930C2×C42—51no—
931C2×C42—51no—
932C2×C42—51no—
933C2×C42—51no—
934C2×C42—51no—
935C2×C42—202no—
936C2×C42C22×D511yescharacteristic
937C2×C42C22×D511yescharacteristic
938C2×C42C22×D511yescharacteristic
939#95—51no—
940#95—51no—
941#95—51no—
942#95—51no—
943#95—51no—
944#95—51no—
945#95—51no—
946#95—51no—
947#95—51no—
948#95—51no—
949#95—51no—
950#95—51no—
951#95—51no—
952#95—51no—
953#95—51no—
954#95—51no—
955#95—51no—
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#95C22×D511yescharacteristic
978#95C22×D511yescharacteristic
979#95C22×D511yescharacteristic
980#95C22×D511yescharacteristic
981#95C22×D511yescharacteristic
982#95C22×D511yescharacteristic
983#95C22×D511yescharacteristic
984#95C22×D511yescharacteristic
985#95C22×D511yescharacteristic
986#95C22×D511yescharacteristic
987#95C22×D511yescharacteristic
988#95C22×D511yescharacteristic
989#95C22×D511yescharacteristic
990#95C22×D511yescharacteristic
991C22×C5—41no—
992C22×C5—41no—
993C22×C5—41no—
994C22×C5—41no—
995C22×C5—41no—
996C22×C5—41no—
997C22×C5—41no—
998C22×C5C22×#4111yescharacteristic
999C22×C5C2×H(5,𝔽2)11yescharacteristic
1000C22×C5C2×H(5,𝔽2)11yescharacteristic
1001C22×C5C2×2−1+411yescharacteristic
1002C22×C5C2×2−1+411yescharacteristic
1003C22×C5#58511yescharacteristic
1004C22×C5#58511yescharacteristic
1005C2×D5—22no—
1006C2×D5—22no—
1007C2×D5—22no—
1008C2×D5—22no—
1009C2×D5—22no—
1010C2×D5—22no—
1011C2×D5—41no—
1012C2×D5—41no—
1013C2×D5—41no—
1014C2×D5—41no—
1015C2×D5—41no—
1016C2×D5—41no—
1017C2×D5—41no—
1018C2×D5—88no—
1019C2×D5#54114yes—
1020C4×C5—22no—
1021C4×C5—22no—
1022C4×C5—22no—
1023C4×C5—41no—
1024C4×C5—41no—
1025C4×C5—41no—
1026C4×C5—41no—
1027C4×C5—41no—
1028C4×C5—41no—
1029C4×C5—41no—
1030C4×C5—41no—
1031C4×C5—41no—
1032C4×C5—41no—
1033C4×C5—41no—
1034Dic5—22no—
1035Dic5—41no—
1036Dic5—41no—
1037Dic5—41no—
1038Dic5—41no—
1039Dic5—41no—
1040Dic5—41no—
1041Dic5—41no—
1042Dic5—41no—
1043Dic5—41no—
1044Dic5—41no—
1045Dic5—41no—
1046Dic5—41no—
1047Dic5—41no—
1048C24—51no—
1049C24—51no—
1050C24—102no—
1051C24—102no—
1052C24—102no—
1053C24—201no—
1054C24—201no—
1055C24—201no—
1056C24—201no—
1057C24C23×D511yescharacteristic
1058C2×Q8—22no—
1059C2×Q8—22no—
1060C2×Q8—41no—
1061C2×Q8—41no—
1062C2×Q8—41no—
1063C2×Q8—41no—
1064C22×C4—51no—
1065C22×C4—54no—
1066C22×C4—51no—
1067C22×C4—51no—
1068C22×C4—51no—
1069C22×C4—51no—
1070C22×C4—51no—
1071C22×C4—51no—
1072C22×C4—51no—
1073C22×C4—51no—
1074C22×C4—51no—
1075C22×C4—51no—
1076C22×C4—51no—
1077C22×C4—51no—
1078C22×C4—51no—
1079C22×C4—102no—
1080C22×C4—102no—
1081C22×C4—102no—
1082C22×C4—102no—
1083C22×C4—102no—
1084C22×C4—102no—
1085C22×C4—102no—
1086C22×C4—201no—
1087C22×C4—201no—
1088C22×C4—201no—
1089C22×C4—201no—
1090C22×C4—201no—
1091C22×C4—201no—
1092C22×C4—201no—
1093C22×C4—201no—
1094C22×C4—201no—
1095C22×C4—201no—
1096C22×C4C23×D511yescharacteristic
1097C22×C4C23×D511yescharacteristic
1098C22×C4C23×D511yescharacteristic
1099C22×C4C23×D511yescharacteristic
1100C22×C4C23×D511yescharacteristic
1101C22×C4C23×D511yescharacteristic
1102C22×C4C23×D511yescharacteristic
1103C22×C4C23×D511yescharacteristic
1104C22×C4C23×D511yescharacteristic
1105C22×C4C23×D511yescharacteristic
1106C22×C4C23×D511yescharacteristic
1107C22×C4C23×D511yescharacteristic
1108C22×C4C23×D511yescharacteristic
1109C22×C4C23×D511yescharacteristic
1110C4⋊C4—22no—
1111C4⋊C4—22no—
1112C4⋊C4—22no—
1113C4⋊C4—22no—
1114C4⋊C4—22no—
1115C4⋊C4—41no—
1116C4⋊C4—41no—
1117C4⋊C4—41no—
1118C4⋊C4—41no—
1119C4⋊C4—102no—
1120C4⋊C4—102no—
1121C4⋊C4—102no—
1122C4⋊C4—102no—
1123C4⋊C4—102no—
1124C4⋊C4—102no—
1125C4⋊C4—102no—
1126C4⋊C4—102no—
1127C4⋊C4—102no—
1128C4⋊C4—102no—
1129C4⋊C4—102no—
1130C4⋊C4—201no—
1131C4⋊C4—201no—
1132C4⋊C4—201no—
1133C4⋊C4—201no—
1134C4⋊C4—201no—
1135C4⋊C4—201no—
1136C4⋊C4—201no—
1137C4⋊C4—201no—
1138C4⋊C4—201no—
1139C4⋊C4—201no—
1140C4⋊C4—201no—
1141C4⋊C4—201no—
1142C4⋊C4—201no—
1143C4⋊C4—201no—
1144C4⋊C4—201no—
1145C4⋊C4—201no—
1146C4⋊C4—201no—
1147C4⋊C4—201no—
1148C4⋊C4—201no—
1149C4⋊C4—201no—
1150C4⋊C4—201no—
1151C4⋊C4—201no—
1152C4⋊C4—201no—
1153C4⋊C4—201no—
1154C4⋊C4—201no—
1155C4⋊C4—201no—
1156C22⋊C4—22no—
1157C22⋊C4—22no—
1158C22⋊C4—22no—
1159C22⋊C4—41no—
1160C22⋊C4—41no—
1161C22⋊C4—41no—
1162C22⋊C4—41no—
1163C22⋊C4—102no—
1164C22⋊C4—102no—
1165C22⋊C4—102no—
1166C22⋊C4—102no—
1167C22⋊C4—102no—
1168C22⋊C4—102no—
1169C22⋊C4—102no—
1170C22⋊C4—102no—
1171C22⋊C4—102no—
1172C22⋊C4—102no—
1173C22⋊C4—102no—
1174C22⋊C4—102no—
1175C22⋊C4—102no—
1176C22⋊C4—201no—
1177C22⋊C4—201no—
1178C22⋊C4—201no—
1179C22⋊C4—201no—
1180C22⋊C4—201no—
1181C22⋊C4—201no—
1182C22⋊C4—201no—
1183C22⋊C4—201no—
1184C22⋊C4—201no—
1185C22⋊C4—201no—
1186C22⋊C4—201no—
1187C22⋊C4—201no—
1188C22⋊C4—201no—
1189C22⋊C4—201no—
1190C22⋊C4—201no—
1191C22⋊C4—201no—
1192C42—22no—
1193C42—41no—
1194C42—41no—
1195C42—102no—
1196C42—201no—
1197C42—201no—
1198C42—201no—
1199C42—201no—
1200C42—201no—
1201C42—201no—
1202C42—201no—
1203C42—201no—
1204C2×C5—81no—
1205C2×C5C2×#54111yescharacteristic
1206C2×C5#350511yescharacteristic
1207C2×C5#350611yescharacteristic
1208C2×C5#353511yescharacteristic
1209C2×C5#353611yescharacteristic
1210C2×C5#356111yescharacteristic
1211C2×C5#356411yescharacteristic
1212D5—24no—
1213D5—81no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—52no—
1222C23—52no—
1223C23—52no—
1224C23—101no—
1225C23—101no—
1226C23—101no—
1227C23—101no—
1228C23—101no—
1229C23—101no—
1230C23—101no—
1231C23—101no—
1232C23—101no—
1233C23—101no—
1234C23—101no—
1235C23—204no—
1236C23—204no—
1237C23—204no—
1238C23—402no—
1239C23—402no—
1240C23—402no—
1241C23—402no—
1242C23C24×D511yescharacteristic
1243Q8—82no—
1244Q8—82no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—52no—
1285C2×C4—101no—
1286C2×C4—101no—
1287C2×C4—101no—
1288C2×C4—101no—
1289C2×C4—101no—
1290C2×C4—101no—
1291C2×C4—101no—
1292C2×C4—101no—
1293C2×C4—101no—
1294C2×C4—101no—
1295C2×C4—101no—
1296C2×C4—101no—
1297C2×C4—101no—
1298C2×C4—101no—
1299C2×C4—101no—
1300C2×C4—101no—
1301C2×C4—101no—
1302C2×C4—101no—
1303C2×C4—101no—
1304C2×C4—101no—
1305C2×C4—101no—
1306C2×C4—101no—
1307C2×C4—101no—
1308C2×C4—101no—
1309C2×C4—101no—
1310C2×C4—101no—
1311C2×C4—101no—
1312C2×C4—101no—
1313C2×C4—101no—
1314C2×C4—101no—
1315C2×C4—101no—
1316C2×C4—101no—
1317C2×C4—101no—
1318C2×C4—101no—
1319C2×C4—101no—
1320C2×C4—101no—
1321C2×C4—101no—
1322C2×C4—101no—
1323C2×C4—101no—
1324C2×C4—101no—
1325C2×C4—101no—
1326C2×C4—204no—
1327C2×C4—204no—
1328C2×C4—204no—
1329C2×C4—204no—
1330C2×C4—402no—
1331C2×C4—402no—
1332C2×C4#414412yes—
1333C2×C4D5×#4112yes—
1334C2×C4#414912yes—
1335C5#3676011yescharacteristic, complemented, Sylow
1336C22—41no—
1337C22—41no—
1338C22—41no—
1339C22—41no—
1340C22—41no—
1341C22—41no—
1342C22—41no—
1343C22—54no—
1344C22—102no—
1345C22—102no—
1346C22—102no—
1347C22—102no—
1348C22—102no—
1349C22—102no—
1350C22—201no—
1351C22—201no—
1352C22—201no—
1353C22—201no—
1354C22—201no—
1355C22—201no—
1356C22—201no—
1357C22—408no—
1358C22C2×#414411yescharacteristic
1359C22C2×D5×#4111yescharacteristic
1360C22C2×#414911yescharacteristic
1361C22#6628511yescharacteristic
1362C22D5×2−1+411yescharacteristic
1363C22D5×2−1+411yescharacteristic
1364C22#6628711yescharacteristic
1365C4—22no—
1366C4—22no—
1367C4—22no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—41no—
1373C4—41no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—102no—
1380C4—201no—
1381C4—201no—
1382C4—201no—
1383C4—201no—
1384C4—201no—
1385C4—201no—
1386C4—201no—
1387C4—201no—
1388C4—201no—
1389C4—201no—
1390C4—201no—
1391C4—201no—
1392C4—201no—
1393C2—81no—
1394C2—104no—
1395C2—401no—
1396C2#1061825911yescharacteristic
1397C2D5×#54111yescharacteristic
1398C2#1061847011yescharacteristic
1399C2#1061856711yescharacteristic
1400C2#1061864011yescharacteristic
1401C2#1061890611yescharacteristic
1402C2#1061903811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2716C2
prime radicalC24×D5C23
hypercenter#2716D5
hypocenterC5#36760
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2716

Complements

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

NH ≅ G/Ntype
1. C5×#2716C2semidirect
2. #10615000C2semidirect
3. #10614979C2semidirect
4. #10614832C2semidirect
6. #10610083C2semidirect
7. #10609980C2semidirect
8. #10609597C2semidirect
9. #10609489C2semidirect
10. #10609349C2semidirect
12. #10609097C2semidirect
16. #10608581C2semidirect
17. #10608570C2semidirect
18. #10608343C2semidirect
19. #10608343C2semidirect
20. #10608323C2semidirect
21. #10608306C2semidirect
23. #10607509C2semidirect
24. #10607430C2semidirect
26. #10607176C2semidirect
27. #10607071C2semidirect
28. #10606971C2semidirect
29. #10606948C2semidirect
30. #10606902C2semidirect
31. #10606740C2semidirect
32. C2×C5×C4⋊Q8C22semidirect
39. C2×#4036C22semidirect
40. C2×#4035C22semidirect
41. C2×#4035C22semidirect
47. C5×#400C22semidirect
48. C5×#398C22semidirect
53. C5×#391C22semidirect
54. C5×#391C22semidirect
57. C5×#387C22semidirect
58. C5×#387C22semidirect
59. C5×#387C22semidirect
62. #65519C22semidirect
63. #65519C22semidirect
64. #65519C22semidirect
65. #65519C22semidirect
81. #65274C22semidirect
82. #65273C22semidirect
83. #65272C22semidirect
84. #65272C22semidirect
85. #65271C22semidirect
86. #65270C22semidirect
87. #65270C22semidirect
88. #65267C22semidirect
89. #65262C22semidirect
90. #65262C22semidirect
91. #65262C22semidirect
92. #65262C22semidirect
93. #65261C22semidirect
94. #65261C22semidirect
95. #65261C22semidirect
125. #65225C22semidirect
126. #65224C22semidirect
127. #65222C22semidirect
128. #65222C22semidirect
129. #65222C22semidirect
130. #65217C22semidirect
159. #64950C22semidirect
160. #64950C22semidirect
161. #64950C22semidirect
162. #64949C22semidirect
163. #64949C22semidirect
164. #64949C22semidirect
165. #64948C22semidirect
166. #64948C22semidirect
167. #64947C22semidirect
168. #64946C22semidirect
169. #64944C22semidirect
170. #64944C22semidirect
171. #64943C22semidirect
172. #64943C22semidirect
173. #64943C22semidirect
174. #64943C22semidirect
175. #64942C22semidirect
176. #64942C22semidirect
177. #64942C22semidirect
178. #64941C22semidirect
179. #64941C22semidirect
180. #64939C22semidirect
181. #64939C22semidirect
182. #64936C22semidirect
183. #64936C22semidirect
184. #64936C22semidirect
185. #64936C22semidirect
186. #64936C22semidirect
375. #2716D5semidirect
545. C2×C4⋊Q8C2×D5semidirect
567. #400C2×D5semidirect
579. #398C2×D5semidirect
612. #391C2×D5semidirect
613. #391C2×D5semidirect
665. #387C2×D5semidirect
666. #387C2×D5semidirect
667. #387C2×D5semidirect
1335. C5#36760semidirect

Maximal subgroups

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

subgroupindex
C5×#27162
#106150002
#106149792
#106148322
#106148122
#106100832
#106099802
#106095972
#106094892
#106093492
#106092122
#106090972
#106090342
#106086022
#106085812
#106085702
#106083432
#106083232
#106083062
D5×#3882
#106075092
#106074302
#106072712
#106071762
#106070712
#106069712
#106069482
#106069022
#106067402
#367605