Finite Group Databasebeta

← #12307213

Subgroups — #12307213

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×#2480C211yesmaximal, characteristic
2#10614832C211yesmaximal, characteristic, complemented
3#10614827C211yesmaximal, characteristic, complemented
4#10613843C211yesmaximal, characteristic
5C2×#65233C211yesmaximal, characteristic
6#10609372C211yesmaximal, characteristic, complemented
7#10609361C211yesmaximal, characteristic, complemented
8#10609349C211yesmaximal, characteristic, complemented
9#10609336C211yesmaximal, characteristic, complemented
10#10609327C211yesmaximal, characteristic, complemented
11#10609319C211yesmaximal, characteristic, complemented
12#10609096C211yesmaximal, characteristic, complemented
13#10609095C211yesmaximal, characteristic, complemented
14#10607528C211yesmaximal, characteristic, complemented
15#10607510C211yesmaximal, characteristic, complemented
16#10607489C211yesmaximal, characteristic, complemented
17#10607468C211yesmaximal, characteristic, complemented
18#10607433C211yesmaximal, characteristic, complemented
19#10607431C211yesmaximal, characteristic, complemented
20#10606317C211yesmaximal, characteristic, complemented
21#10606192C211yesmaximal, characteristic, complemented
22#10606171C211yesmaximal, characteristic, complemented
23#10606118C211yesmaximal, characteristic, complemented
24#10605732C211yesmaximal, characteristic, complemented
25#10605658C211yesmaximal, characteristic, complemented
26#10605567C211yesmaximal, characteristic
27#10605567C211yesmaximal, characteristic
28#10605562C211yesmaximal, characteristic
29#10605561C211yesmaximal, characteristic
30#10605232C211yesmaximal, characteristic, complemented
31#10605178C211yesmaximal, characteristic, complemented
32C2×C5×#126C2211yescharacteristic
33C22×C5×C22⋊C4C2211yescharacteristic
34C22×C22⋊Dic5C2211yescharacteristic
35C22×C22⋊Dic5C2211yescharacteristic
36C22×#683C2211yescharacteristic
37C22×C4×Dic5C2211yescharacteristic
38C2×#4035C2211yescharacteristic, complemented
39C2×#4035C2211yescharacteristic, complemented
40C2×#4034C2211yescharacteristic, complemented
41C2×#4025C2211yescharacteristic
42C2×#4025C2211yescharacteristic
43C2×#4025C2211yescharacteristic
44C2×#4024C2211yescharacteristic
45C2×#4024C2211yescharacteristic
46C2×#4016C2211yescharacteristic, complemented
47C5×#397C2211yescharacteristic
48C5×#397C2211yescharacteristic
49C5×#397C2211yescharacteristic
50C5×#396C2211yescharacteristic
51C5×#388C2211yescharacteristic
52C5×#388C2211yescharacteristic
53C5×#388C2211yescharacteristic
54C5×#385C2211yescharacteristic
55C5×#385C2211yescharacteristic
56C5×#380C2211yescharacteristic
57C5×#379C2211yescharacteristic
58C5×#379C2211yescharacteristic
59C4×C5×C22⋊C4C2211yescharacteristic
60#65536C2211yescharacteristic
61#65536C2211yescharacteristic
62#65501C2211yescharacteristic
63#65499C2211yescharacteristic
64#65499C2211yescharacteristic
65C4×C22⋊Dic5C2211yescharacteristic
66C2×#3963C2211yescharacteristic
67C2×#3963C2211yescharacteristic
68#65275C2211yescharacteristic, complemented
69#65275C2211yescharacteristic, complemented
70#65274C2211yescharacteristic, complemented
71#65274C2211yescharacteristic, complemented
72#65273C2211yescharacteristic, complemented
73#65273C2211yescharacteristic, complemented
74#65271C2211yescharacteristic, complemented
75#65270C2211yescharacteristic, complemented
76#65270C2211yescharacteristic, complemented
77#65269C2211yescharacteristic, complemented
78#65267C2211yescharacteristic, complemented
79#65267C2211yescharacteristic, complemented
80#65266C2211yescharacteristic, complemented
81#65265C2211yescharacteristic, complemented
82#65263C2211yescharacteristic, complemented
83#65262C2211yescharacteristic, complemented
84#65262C2211yescharacteristic, complemented
85#65261C2211yescharacteristic, complemented
86#65261C2211yescharacteristic, complemented
87#65261C2211yescharacteristic, complemented
88#65261C2211yescharacteristic, complemented
89#65242C2211yescharacteristic
90#65242C2211yescharacteristic
91#65242C2211yescharacteristic
92#65241C2211yescharacteristic
93#65241C2211yescharacteristic
94#65241C2211yescharacteristic
95#65241C2211yescharacteristic
96#65241C2211yescharacteristic
97#65241C2211yescharacteristic
98#65240C2211yescharacteristic
99#65240C2211yescharacteristic
100#65240C2211yescharacteristic
101#65239C2211yescharacteristic
102#65239C2211yescharacteristic
103#65239C2211yescharacteristic
104#65239C2211yescharacteristic
105#65238C2211yescharacteristic
106#65238C2211yescharacteristic
107#65238C2211yescharacteristic
108#65238C2211yescharacteristic
109#65237C2211yescharacteristic
110#65237C2211yescharacteristic
111#65237C2211yescharacteristic
112#65237C2211yescharacteristic
113#65237C2211yescharacteristic
114#65237C2211yescharacteristic
115#65237C2211yescharacteristic
116#65237C2211yescharacteristic
117#65237C2211yescharacteristic
118#65237C2211yescharacteristic
119#65237C2211yescharacteristic
120#65236C2211yescharacteristic
121#65236C2211yescharacteristic
122#65236C2211yescharacteristic
123#65236C2211yescharacteristic
124#65235C2211yescharacteristic
125#65235C2211yescharacteristic
126#65235C2211yescharacteristic
127#65235C2211yescharacteristic
128#65234C2211yescharacteristic
129#65234C2211yescharacteristic
130#65234C2211yescharacteristic
131#65233C2211yescharacteristic
132#65233C2211yescharacteristic
133#65233C2211yescharacteristic
134#65233C2211yescharacteristic
135#65233C2211yescharacteristic
136#65233C2211yescharacteristic
137#65233C2211yescharacteristic
138#65233C2211yescharacteristic
139#65233C2211yescharacteristic
140#65233C2211yescharacteristic
141#65233C2211yescharacteristic
142#65231C2211yescharacteristic
143#65231C2211yescharacteristic
144#65231C2211yescharacteristic
145#65231C2211yescharacteristic
146C22⋊C4×Dic5C2211yescharacteristic
147C22⋊C4×Dic5C2211yescharacteristic
148#65222C2211yescharacteristic, complemented
149#65222C2211yescharacteristic, complemented
150#65222C2211yescharacteristic, complemented
151#65222C2211yescharacteristic, complemented
152#65218C2211yescharacteristic, complemented
153#65217C2211yescharacteristic, complemented
154#65217C2211yescharacteristic, complemented
155#64950C2211yescharacteristic, complemented
156#64949C2211yescharacteristic, complemented
157#64949C2211yescharacteristic, complemented
158#64948C2211yescharacteristic, complemented
159#64947C2211yescharacteristic, complemented
160#64947C2211yescharacteristic, complemented
161#64946C2211yescharacteristic, complemented
162#64946C2211yescharacteristic, complemented
163#64946C2211yescharacteristic, complemented
164#64946C2211yescharacteristic, complemented
165#64944C2211yescharacteristic, complemented
166#64944C2211yescharacteristic, complemented
167#64943C2211yescharacteristic, complemented
168#64943C2211yescharacteristic, complemented
169#64942C2211yescharacteristic, complemented
170#64942C2211yescharacteristic, complemented
171#64942C2211yescharacteristic, complemented
172#64942C2211yescharacteristic, complemented
173#64941C2211yescharacteristic, complemented
174#64941C2211yescharacteristic, complemented
175#64941C2211yescharacteristic, complemented
176#64941C2211yescharacteristic, complemented
177#64939C2211yescharacteristic, complemented
178#64939C2211yescharacteristic, complemented
179#64936C2211yescharacteristic, complemented
180#64936C2211yescharacteristic, complemented
181#64936C2211yescharacteristic, complemented
182#64936C2211yescharacteristic, complemented
183#64935C2211yescharacteristic, complemented
184#64935C2211yescharacteristic, complemented
185#64935C2211yescharacteristic, complemented
186#64935C2211yescharacteristic, complemented
187#36760—51nomaximal, Sylow
188C25×C5C2311yescharacteristic
189C23×C4×C5C2311yescharacteristic
190C23×C4×C5C2311yescharacteristic
191C23×Dic5C2311yescharacteristic
192C23×Dic5C2311yescharacteristic
193C23×Dic5C2311yescharacteristic
194C23×Dic5C2311yescharacteristic
195C22×Dic10C2311yescharacteristic
196C22×Dic10C2311yescharacteristic
197C5×#126—42no—
198C2×C5×C4⋊C4C2311yescharacteristic
199C2×C5×C4⋊C4C2311yescharacteristic
200C2×C5×C4⋊C4C2311yescharacteristic
201C2×C5×C4⋊C4C2311yescharacteristic
202C2×C5×C4⋊C4C2311yescharacteristic
203C2×C5×C4⋊C4C2311yescharacteristic
204C2×C5×C22⋊C4—42no—
205C2×C5×C22⋊C4C2311yescharacteristic
206C2×C5×C22⋊C4C2311yescharacteristic
207C2×C5×C22⋊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×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×C42×C5C2311yescharacteristic
223C2×C22⋊Dic5—24no—
224C2×C22⋊Dic5—42no—
225C2×C22⋊Dic5C2311yescharacteristic
226C2×C22⋊Dic5C2311yescharacteristic
227C2×C22⋊Dic5C2311yescharacteristic
228C2×C22⋊Dic5C2311yescharacteristic
229C2×C22⋊Dic5C2311yescharacteristic
230C2×C22⋊Dic5C2311yescharacteristic
231C2×C22⋊Dic5C2311yescharacteristic
232C2×C22⋊Dic5C2311yescharacteristic
233C2×C22⋊Dic5C2311yescharacteristic
234C2×C22⋊Dic5C2311yescharacteristic
235C2×C22⋊Dic5C2311yescharacteristic
236C2×C22⋊Dic5C2311yescharacteristic
237C2×C22⋊Dic5C2311yescharacteristic
238C2×C22⋊Dic5C2311yescharacteristic
239C2×C22⋊Dic5C2311yescharacteristic
240C2×C22⋊Dic5C2311yescharacteristic
241C2×C22⋊Dic5C2311yescharacteristic
242C2×C22⋊Dic5C2311yescharacteristic
243C2×C22⋊Dic5C2311yescharacteristic
244C2×C22⋊Dic5C2311yescharacteristic
245C2×C4⋊Dic5C2311yescharacteristic
246C2×C4⋊Dic5C2311yescharacteristic
247C2×C4⋊Dic5C2311yescharacteristic
248C2×C4⋊Dic5C2311yescharacteristic
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×#683—42no—
258C2×#683C2311yescharacteristic
259C2×#683C2311yescharacteristic
260C2×#683C2311yescharacteristic
261C2×#683C2311yescharacteristic
262C2×#683C2311yescharacteristic
263C2×#683C2311yescharacteristic
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×Dic5—42no—
287C2×C4×Dic5C2311yescharacteristic
288C2×C4×Dic5C2311yescharacteristic
289C2×C4×Dic5C2311yescharacteristic
290C2×C4×Dic5C2311yescharacteristic
291C2×C4×Dic5C2311yescharacteristic
292C2×C4×Dic5C2311yescharacteristic
293C2×C4×Dic5C2311yescharacteristic
294C2×C4×Dic5C2311yescharacteristic
295C2×C4×Dic5C2311yescharacteristic
296C2×C4×Dic5C2311yescharacteristic
297#4035—42no—
298#4035—42no—
299#4034—42no—
300#4025—42no—
301#4025—42no—
302#4025—42no—
303#4024—24no—
304#4024—24no—
305#4016—42no—
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#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#2716—51no—
376#2626—51no—
377#2626—51no—
378#2505—51no—
379#2505—51no—
380#2480—51no—
381#2480—51no—
382#2480—51no—
383#2480D511yescharacteristic
384#2473—51no—
385#2473—51no—
386#2329—51no—
387#2329—51no—
388C2×#388—51no—
389C24×C5—22no—
390C24×C5—22no—
391C24×C5—22no—
392C24×C5—41no—
393C24×C5—41no—
394C24×C5—41no—
395C24×C5—41no—
396C24×C5C2411yescharacteristic
397C24×C5C2411yescharacteristic
398C24×C5C2411yescharacteristic
399C22×C4×C5—22no—
400C22×C4×C5—22no—
401C22×C4×C5—22no—
402C22×C4×C5—41no—
403C22×C4×C5—41no—
404C22×C4×C5—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×Dic5—22no—
418C22×Dic5—22no—
419C22×Dic5—22no—
420C22×Dic5—22no—
421C22×Dic5—41no—
422C22×Dic5—41no—
423C22×Dic5—41no—
424C22×Dic5—41no—
425C22×Dic5—41no—
426C22×Dic5—41no—
427C22×Dic5—41no—
428C22×Dic5#4114yes—
429C22×Dic5C2411yescharacteristic
430C22×Dic5C2411yescharacteristic
431C22×Dic5C2411yescharacteristic
432C22×Dic5C2411yescharacteristic
433C22×Dic5C2411yescharacteristic
434C22×Dic5C2411yescharacteristic
435C22×Dic5C2411yescharacteristic
436C22×Dic5C2411yescharacteristic
437C22×Dic5C2411yescharacteristic
438C22×Dic5C2411yescharacteristic
439C22×Dic5C2411yescharacteristic
440C22×Dic5C2411yescharacteristic
441C22×Dic5C2411yescharacteristic
442C22×Dic5C2411yescharacteristic
443C22×Dic5C2411yescharacteristic
444C22×Dic5C2411yescharacteristic
445C2×Dic10—22no—
446C2×Dic10—22no—
447C2×Dic10—41no—
448C2×Dic10—41no—
449C2×Dic10—41no—
450C2×Dic10—41no—
451C5×C4⋊C4—22no—
452C5×C4⋊C4—22no—
453C5×C4⋊C4—41no—
454C5×C4⋊C4—41no—
455C5×C4⋊C4—41no—
456C5×C4⋊C4—41no—
457C5×C22⋊C4—22no—
458C5×C22⋊C4—22no—
459C5×C22⋊C4—22no—
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—
467C5×C22⋊C4—41no—
468C5×C22⋊C4—41no—
469C5×C22⋊C4—41no—
470C5×C22⋊C4—41no—
471C5×C22⋊C4—41no—
472C5×C22⋊C4—41no—
473C42×C5—41no—
474C42×C5—41no—
475C22⋊Dic5—22no—
476C22⋊Dic5—22no—
477C22⋊Dic5—22no—
478C22⋊Dic5—22no—
479C22⋊Dic5—22no—
480C22⋊Dic5—22no—
481C22⋊Dic5—22no—
482C22⋊Dic5—22no—
483C22⋊Dic5—22no—
484C22⋊Dic5—22no—
485C22⋊Dic5—41no—
486C22⋊Dic5—41no—
487C22⋊Dic5—41no—
488C22⋊Dic5—41no—
489C22⋊Dic5—41no—
490C22⋊Dic5—41no—
491C22⋊Dic5—41no—
492C22⋊Dic5—41no—
493C22⋊Dic5—41no—
494C22⋊Dic5—41no—
495C4⋊Dic5—22no—
496C4⋊Dic5—22no—
497C4⋊Dic5—22no—
498C4⋊Dic5—22no—
499C4⋊Dic5—41no—
500C4⋊Dic5—41no—
501C4⋊Dic5—41no—
502C4⋊Dic5—41no—
503C4⋊Dic5—41no—
504C4⋊Dic5—41no—
505C4⋊Dic5—41no—
506C4⋊Dic5—41no—
507#683—22no—
508#683—22no—
509#683—22no—
510#683—22no—
511#683—22no—
512#683—22no—
513#683—22no—
514#683—22no—
515#683—22no—
516#683—22no—
517#683—41no—
518#683—41no—
519#683—41no—
520#683—41no—
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—
535C4×Dic5—22no—
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⋊Q8—51no—
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⋊C4C2×D511yescharacteristic
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#400—51no—
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#398—51no—
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#397C2×D511yescharacteristic
590#397C2×D511yescharacteristic
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#393—51no—
607#393—51no—
608#391—51no—
609#391—51no—
610#391—51no—
611#391—51no—
612#391—51no—
613#391—51no—
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#388C2×D511yescharacteristic
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#387—51no—
666#387—51no—
667#387—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#385C2×D511yescharacteristic
679#385C2×D511yescharacteristic
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#380C2×D511yescharacteristic
690#379—51no—
691#379—51no—
692#379C2×D511yescharacteristic
693#379C2×D511yescharacteristic
694C4×C22⋊C4—51no—
695C4×C22⋊C4—51no—
696C4×C22⋊C4—51no—
697C4×C22⋊C4C2×D511yescharacteristic
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×C5—21no—
708C23×C5—21no—
709C23×C5—21no—
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—44no—
719C23×C5—44no—
720C23×C5—44no—
721C23×C5—82no—
722C23×C5—82no—
723C23×C5—82no—
724C23×C5—82no—
725C23×C5C2×#4112yes—
726C23×C52−1+412yes—
727C23×C52−1+412yes—
728C23×C5C2511yescharacteristic
729C2×C4×C5—21no—
730C2×C4×C5—21no—
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—44no—
765C2×C4×C5—82no—
766C2×C4×C5H(5,𝔽2)12yes—
767C2×Dic5—21no—
768C2×Dic5—21no—
769C2×Dic5—21no—
770C2×Dic5—21no—
771C2×Dic5—21no—
772C2×Dic5—21no—
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—44no—
813C2×Dic5—44no—
814C2×Dic5—44no—
815C2×Dic5—82no—
816C2×Dic5C2×#4112yes—
817C2×Dic5C2×#4112yes—
818C2×Dic5H(5,𝔽2)12yes—
819Dic10—82no—
820Dic10—82no—
821C25C22×D511yescharacteristic
822C22×Q8—51no—
823C22×Q8—51no—
824C23×C4—51no—
825C23×C4—51no—
826C23×C4—51no—
827C23×C4—51no—
828C23×C4C22×D511yescharacteristic
829C23×C4C22×D511yescharacteristic
830C4⋊Q8—202no—
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—51no—
878C2×C4⋊C4—51no—
879C2×C4⋊C4—51no—
880C2×C4⋊C4—202no—
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—42no—
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—104no—
909C2×C22⋊C4—202no—
910C2×C22⋊C4C22×D511yescharacteristic
911C2×C22⋊C4C22×D511yescharacteristic
912C2×C22⋊C4C22×D511yescharacteristic
913C2×C22⋊C4C22×D511yescharacteristic
914C2×C22⋊C4C22×D511yescharacteristic
915C2×C22⋊C4C22×D511yescharacteristic
916C2×C22⋊C4C22×D511yescharacteristic
917C2×C22⋊C4C22×D511yescharacteristic
918C2×C22⋊C4C22×D511yescharacteristic
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—51no—
936C2×C42—202no—
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#95—51no—
978#95—51no—
979#95—51no—
980#95—51no—
981#95—51no—
982#95—51no—
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—22no—
992C22×C5—22no—
993C22×C5—22no—
994C22×C5—22no—
995C22×C5—22no—
996C22×C5—22no—
997C22×C5—41no—
998C22×C5—41no—
999C22×C5—41no—
1000C22×C5—41no—
1001C22×C5—41no—
1002C22×C5—41no—
1003C22×C5—41no—
1004C22×C5—41no—
1005C22×C5—41no—
1006C22×C5—41no—
1007C22×C5—41no—
1008C22×C5—41no—
1009C22×C5—41no—
1010C22×C5—41no—
1011C22×C5—88no—
1012C22×C5#54114yes—
1013C22×C5C22×#4111yescharacteristic
1014C22×C5C2×H(5,𝔽2)11yescharacteristic
1015C22×C5C2×H(5,𝔽2)11yescharacteristic
1016C22×C5C2×2−1+411yescharacteristic
1017C22×C5C2×2−1+411yescharacteristic
1018C22×C5#58511yescharacteristic
1019C22×C5#58511yescharacteristic
1020C4×C5—22no—
1021C4×C5—41no—
1022C4×C5—41no—
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—
1032Dic5—22no—
1033Dic5—22no—
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—22no—
1049C24—22no—
1050C24—22no—
1051C24—41no—
1052C24—41no—
1053C24—41no—
1054C24—41no—
1055C24C23×D511yescharacteristic
1056C24C23×D511yescharacteristic
1057C24C23×D511yescharacteristic
1058C2×Q8—102no—
1059C2×Q8—102no—
1060C2×Q8—201no—
1061C2×Q8—201no—
1062C2×Q8—201no—
1063C2×Q8—201no—
1064C22×C4—22no—
1065C22×C4—22no—
1066C22×C4—22no—
1067C22×C4—41no—
1068C22×C4—41no—
1069C22×C4—41no—
1070C22×C4—51no—
1071C22×C4—51no—
1072C22×C4—51no—
1073C22×C4—54no—
1074C22×C4—51no—
1075C22×C4—51no—
1076C22×C4—51no—
1077C22×C4—51no—
1078C22×C4—51no—
1079C22×C4—51no—
1080C22×C4—51no—
1081C22×C4—51no—
1082C22×C4—51no—
1083C22×C4—51no—
1084C22×C4—51no—
1085C22×C4—51no—
1086C22×C4—51no—
1087C22×C4—102no—
1088C22×C4—102no—
1089C22×C4—102no—
1090C22×C4—102no—
1091C22×C4—201no—
1092C22×C4—201no—
1093C22×C4—201no—
1094C22×C4—201no—
1095C22×C4—201no—
1096C22×C4—201no—
1097C22×C4—201no—
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—41no—
1113C4⋊C4—41no—
1114C4⋊C4—41no—
1115C4⋊C4—41no—
1116C4⋊C4—102no—
1117C4⋊C4—102no—
1118C4⋊C4—102no—
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—22no—
1160C22⋊C4—22no—
1161C22⋊C4—22no—
1162C22⋊C4—41no—
1163C22⋊C4—41no—
1164C22⋊C4—41no—
1165C22⋊C4—41no—
1166C22⋊C4—41no—
1167C22⋊C4—41no—
1168C22⋊C4—41no—
1169C22⋊C4—41no—
1170C22⋊C4—41no—
1171C22⋊C4—41no—
1172C22⋊C4—102no—
1173C22⋊C4—102no—
1174C22⋊C4—102no—
1175C22⋊C4—102no—
1176C22⋊C4—102no—
1177C22⋊C4—102no—
1178C22⋊C4—102no—
1179C22⋊C4—102no—
1180C22⋊C4—102no—
1181C22⋊C4—102no—
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—41no—
1193C42—41no—
1194C42—102no—
1195C42—102no—
1196C42—201no—
1197C42—201no—
1198C42—201no—
1199C42—201no—
1200C42—201no—
1201C42—201no—
1202C42—201no—
1203C42—201no—
1204C2×C5—24no—
1205C2×C5—81no—
1206C2×C5—81no—
1207C2×C5C2×#54111yescharacteristic
1208C2×C5#350511yescharacteristic
1209C2×C5#350611yescharacteristic
1210C2×C5#353511yescharacteristic
1211C2×C5#353611yescharacteristic
1212C2×C5#356111yescharacteristic
1213C2×C5#356411yescharacteristic
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—44no—
1233C23—44no—
1234C23—44no—
1235C23—82no—
1236C23—82no—
1237C23—82no—
1238C23—82no—
1239C23D5×#4112yes—
1240C23#415012yes—
1241C23#415012yes—
1242C23C24×D511yescharacteristic
1243Q8—402no—
1244Q8—402no—
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—44no—
1281C2×C4—52no—
1282C2×C4—52no—
1283C2×C4—52no—
1284C2×C4—82no—
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—101no—
1327C2×C4—101no—
1328C2×C4—101no—
1329C2×C4—101no—
1330C2×C4—204no—
1331C2×C4—204no—
1332C2×C4—204no—
1333C2×C4—402no—
1334C2×C4#414412yes—
1335C5#3676011yescharacteristic, complemented, Sylow
1336C22—22no—
1337C22—22no—
1338C22—22no—
1339C22—22no—
1340C22—22no—
1341C22—22no—
1342C22—41no—
1343C22—41no—
1344C22—41no—
1345C22—41no—
1346C22—41no—
1347C22—41no—
1348C22—41no—
1349C22—41no—
1350C22—41no—
1351C22—41no—
1352C22—41no—
1353C22—41no—
1354C22—41no—
1355C22—41no—
1356C22—88no—
1357C22#6603514yes—
1358C22C2×#414411yescharacteristic
1359C22C2×D5×#4111yescharacteristic
1360C22C2×#415011yescharacteristic
1361C22C2×#415011yescharacteristic
1362C22#6628311yescharacteristic
1363C22D5×H(5,𝔽2)11yescharacteristic
1364C22#6628511yescharacteristic
1365C4—22no—
1366C4—41no—
1367C4—41no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—41no—
1373C4—41no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—102no—
1378C4—102no—
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—24no—
1394C2—81no—
1395C2—81no—
1396C2#1061794511yescharacteristic
1397C2C2×#6603511yescharacteristic
1398C2#1061829211yescharacteristic
1399C2#1061854711yescharacteristic
1400C2#1061857111yescharacteristic
1401C2#1061870911yescharacteristic
1402C2#1061871211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2480C2
prime radicalC25×C5C23
hypercenter#2480D5
hypocenterC5#36760
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2480

Complements

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

NH ≅ G/Ntype
2. #10614832C2semidirect
3. #10614827C2semidirect
6. #10609372C2semidirect
7. #10609361C2semidirect
8. #10609349C2semidirect
9. #10609336C2semidirect
10. #10609327C2semidirect
11. #10609319C2semidirect
12. #10609096C2semidirect
13. #10609095C2semidirect
14. #10607528C2semidirect
15. #10607510C2semidirect
16. #10607489C2semidirect
17. #10607468C2semidirect
18. #10607433C2semidirect
19. #10607431C2semidirect
20. #10606317C2semidirect
21. #10606192C2semidirect
22. #10606171C2semidirect
23. #10606118C2semidirect
24. #10605732C2semidirect
25. #10605658C2semidirect
30. #10605232C2semidirect
31. #10605178C2semidirect
38. C2×#4035C22semidirect
39. C2×#4035C22semidirect
40. C2×#4034C22semidirect
46. C2×#4016C22semidirect
68. #65275C22semidirect
69. #65275C22semidirect
70. #65274C22semidirect
71. #65274C22semidirect
72. #65273C22semidirect
73. #65273C22semidirect
74. #65271C22semidirect
75. #65270C22semidirect
76. #65270C22semidirect
77. #65269C22semidirect
78. #65267C22semidirect
79. #65267C22semidirect
80. #65266C22semidirect
81. #65265C22semidirect
82. #65263C22semidirect
83. #65262C22semidirect
84. #65262C22semidirect
85. #65261C22semidirect
86. #65261C22semidirect
87. #65261C22semidirect
88. #65261C22semidirect
148. #65222C22semidirect
149. #65222C22semidirect
150. #65222C22semidirect
151. #65222C22semidirect
152. #65218C22semidirect
153. #65217C22semidirect
154. #65217C22semidirect
155. #64950C22semidirect
156. #64949C22semidirect
157. #64949C22semidirect
158. #64948C22semidirect
159. #64947C22semidirect
160. #64947C22semidirect
161. #64946C22semidirect
162. #64946C22semidirect
163. #64946C22semidirect
164. #64946C22semidirect
165. #64944C22semidirect
166. #64944C22semidirect
167. #64943C22semidirect
168. #64943C22semidirect
169. #64942C22semidirect
170. #64942C22semidirect
171. #64942C22semidirect
172. #64942C22semidirect
173. #64941C22semidirect
174. #64941C22semidirect
175. #64941C22semidirect
176. #64941C22semidirect
177. #64939C22semidirect
178. #64939C22semidirect
179. #64936C22semidirect
180. #64936C22semidirect
181. #64936C22semidirect
182. #64936C22semidirect
183. #64935C22semidirect
184. #64935C22semidirect
185. #64935C22semidirect
186. #64935C22semidirect
1335. C5#36760semidirect

Maximal subgroups

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

subgroupindex
C5×#24802
#106148322
#106148272
#106138432
C2×#652332
#106093722
#106093612
#106093492
#106093362
#106093272
#106093192
#106090962
#106090952
#106075282
#106075102
#106074892
#106074682
#106074332
#106074312
#106063172
#106061922
#106061712
#106061182
#106057322
#106056582
#106055672
#106055622
#106055612
#106052322
#106051782
#367605