Finite Group Databasebeta

← #12269661

Subgroups — #12269661

Order 1280.

1944 conjugacy classes of subgroups.

The subgroup lattice has 1398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2589C211yesmaximal, characteristic, complemented
2#10609872C211yesmaximal, characteristic, complemented
3#10609864C211yesmaximal, characteristic, complemented
4#10609835C211yesmaximal, characteristic
5#10609749C211yesmaximal, characteristic, complemented
6#10609687C211yesmaximal, characteristic, complemented
7#10609471C211yesmaximal, characteristic, complemented
8#10608597C211yesmaximal, characteristic
9#10608509C211yesmaximal, characteristic, complemented
10#10608368C211yesmaximal, characteristic, complemented
11#10608281C211yesmaximal, characteristic, complemented
12#10608210C211yesmaximal, characteristic, complemented
13#10608208C211yesmaximal, characteristic, complemented
14#10607978C211yesmaximal, characteristic, complemented
15#10607697C211yesmaximal, characteristic, complemented
16#10607338C211yesmaximal, characteristic, complemented
17#10607329C211yesmaximal, characteristic, complemented
18#10607180C211yesmaximal, characteristic
19#10607180C211yesmaximal, characteristic
20#10606834C211yesmaximal, characteristic, complemented
21#10606825C211yesmaximal, characteristic, complemented
22#10606672C211yesmaximal, characteristic, complemented
23#10606672C211yesmaximal, characteristic, complemented
24#10606347C211yesmaximal, characteristic
25#10606346C211yesmaximal, characteristic
26#10606112C211yesmaximal, characteristic, complemented
27#10606109C211yesmaximal, characteristic, complemented
28C4×D5×C4⋊C4C211yesmaximal, characteristic, complemented
29#10605464C211yesmaximal, characteristic, complemented
30#10605279C211yesmaximal, characteristic, complemented
31C4×#4027C211yesmaximal, characteristic
32C2×#4092C2211yescharacteristic
33C2×Q8×Dic5C2211yescharacteristic
34C2×C4×C22⋊D5C2211yescharacteristic
35C22×C4×Dic5C2211yescharacteristic
36C2×#4042C2211yescharacteristic
37C2×#4042C2211yescharacteristic
38C2×D5×C4⋊C4C2211yescharacteristic
39C2×D5×C4⋊C4C2211yescharacteristic
40C2×#4036C2211yescharacteristic
41C2×#4033C2211yescharacteristic
42C2×#4033C2211yescharacteristic
43C2×#4027C2211yescharacteristic
44C2×#4027C2211yescharacteristic
45C2×#4024C2211yescharacteristic
46C2×#4023C2211yescharacteristic
47C2×#4023C2211yescharacteristic
48C2×C42×D5C2211yescharacteristic
49C2×C42×D5C2211yescharacteristic
50C2×C42×D5C2211yescharacteristic
51C5×#400C2211yescharacteristic
52C5×#399C2211yescharacteristic
53C5×#398C2211yescharacteristic
54C5×#393C2211yescharacteristic
55C5×#391C2211yescharacteristic
56C5×#391C2211yescharacteristic
57C5×#389C2211yescharacteristic
58C5×#388C2211yescharacteristic
59C5×#388C2211yescharacteristic
60C5×#387C2211yescharacteristic
61C5×#387C2211yescharacteristic
62C5×#385C2211yescharacteristic
63C5×#385C2211yescharacteristic
64C4×C5×C4⋊C4C2211yescharacteristic
65C4×C5×C22⋊C4C2211yescharacteristic
66#65519C2211yescharacteristic
67#65518C2211yescharacteristic
68#65499C2211yescharacteristic
69#65499C2211yescharacteristic
70#65278C2211yescharacteristic
71#65278C2211yescharacteristic
72#65278C2211yescharacteristic
73#65278C2211yescharacteristic
74#65276C2211yescharacteristic
75#65273C2211yescharacteristic
76#65271C2211yescharacteristic
77#65269C2211yescharacteristic
78#65269C2211yescharacteristic
79#65269C2211yescharacteristic
80#65269C2211yescharacteristic
81#65268C2211yescharacteristic
82#65268C2211yescharacteristic
83#65268C2211yescharacteristic
84#65267C2211yescharacteristic
85#65267C2211yescharacteristic
86#65267C2211yescharacteristic
87#65266C2211yescharacteristic
88C4⋊C4×Dic5C2211yescharacteristic
89C4⋊C4×Dic5C2211yescharacteristic
90C4⋊C4×Dic5C2211yescharacteristic
91C4⋊C4×Dic5C2211yescharacteristic
92C4⋊C4×Dic5C2211yescharacteristic
93C4⋊C4×Dic5C2211yescharacteristic
94C4⋊C4×Dic5C2211yescharacteristic
95#65262C2211yescharacteristic
96#65261C2211yescharacteristic
97#65261C2211yescharacteristic
98#65261C2211yescharacteristic
99#65245C2211yescharacteristic
100#65245C2211yescharacteristic
101#65245C2211yescharacteristic
102#65245C2211yescharacteristic
103#65240C2211yescharacteristic
104#65240C2211yescharacteristic
105#65239C2211yescharacteristic
106#65238C2211yescharacteristic
107#65237C2211yescharacteristic
108#65237C2211yescharacteristic
109#65237C2211yescharacteristic
110#65237C2211yescharacteristic
111#65236C2211yescharacteristic
112#65235C2211yescharacteristic
113#65231C2211yescharacteristic
114C22⋊C4×Dic5C2211yescharacteristic
115C22⋊C4×Dic5C2211yescharacteristic
116C22⋊C4×Dic5C2211yescharacteristic
117C22⋊C4×Dic5C2211yescharacteristic
118C4×#685C2211yescharacteristic
119C4×C4⋊Dic5C2211yescharacteristic
120#65222C2211yescharacteristic
121#65222C2211yescharacteristic
122#65222C2211yescharacteristic
123#65222C2211yescharacteristic
124C4×#683C2211yescharacteristic
125C4×#683C2211yescharacteristic
126C4×#683C2211yescharacteristic
127C42×Dic5C2211yescharacteristic
128#65217C2211yescharacteristic
129#65217C2211yescharacteristic
130#65217C2211yescharacteristic
131#64957C2211yescharacteristic
132#64957C2211yescharacteristic
133#64957C2211yescharacteristic
134#64957C2211yescharacteristic
135#64957C2211yescharacteristic
136#64957C2211yescharacteristic
137#64956C2211yescharacteristic
138#64956C2211yescharacteristic
139#64955C2211yescharacteristic
140#64955C2211yescharacteristic
141#64955C2211yescharacteristic
142#64955C2211yescharacteristic
143D5×#95C2211yescharacteristic
144D5×#95C2211yescharacteristic
145#64949C2211yescharacteristic
146#64948C2211yescharacteristic
147#64947C2211yescharacteristic
148#64947C2211yescharacteristic
149#64946C2211yescharacteristic
150#64946C2211yescharacteristic
151#64946C2211yescharacteristic
152#64946C2211yescharacteristic
153#64946C2211yescharacteristic
154#64946C2211yescharacteristic
155#64945C2211yescharacteristic
156#64945C2211yescharacteristic
157#64944C2211yescharacteristic
158#64944C2211yescharacteristic
159#64943C2211yescharacteristic
160#64943C2211yescharacteristic
161#64942C2211yescharacteristic
162#64942C2211yescharacteristic
163#64942C2211yescharacteristic
164#64942C2211yescharacteristic
165#64942C2211yescharacteristic
166#64941C2211yescharacteristic
167#64941C2211yescharacteristic
168#64938C2211yescharacteristic
169#64938C2211yescharacteristic
170#64938C2211yescharacteristic
171#64938C2211yescharacteristic
172#64938C2211yescharacteristic
173#64938C2211yescharacteristic
174#64938C2211yescharacteristic
175#64938C2211yescharacteristic
176#64938C2211yescharacteristic
177#64938C2211yescharacteristic
178#64937C2211yescharacteristic
179#64937C2211yescharacteristic
180#64936C2211yescharacteristic
181#64936C2211yescharacteristic
182#64936C2211yescharacteristic
183#64936C2211yescharacteristic
184#64935C2211yescharacteristic
185#64935C2211yescharacteristic
186#64935C2211yescharacteristic
187#34840—51nomaximal, Sylow
188C22×C5×Q8C2311yescharacteristic
189C23×C4×C5C2311yescharacteristic
190C22×C22⋊D5C2311yescharacteristic
191C23×Dic5C2311yescharacteristic
192C23×Dic5C2311yescharacteristic
193C22×C4×D5C2311yescharacteristic
194C22×C4×D5C2311yescharacteristic
195C22×C4×D5C2311yescharacteristic
196C22×C4×D5C2311yescharacteristic
197C22×C4×D5C2311yescharacteristic
198C22×C4×D5C2311yescharacteristic
199C22×C4×D5C2311yescharacteristic
200C22×Dic10C2311yescharacteristic
201C22×Dic10C2311yescharacteristic
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×C4⋊C4C2311yescharacteristic
209C2×C5×C4⋊C4C2311yescharacteristic
210C2×C5×C4⋊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×C42×C5C2311yescharacteristic
218C2×C42×C5C2311yescharacteristic
219C2×C42×C5C2311yescharacteristic
220C2×C42×C5C2311yescharacteristic
221C2×C22⋊Dic5C2311yescharacteristic
222C2×C22⋊Dic5C2311yescharacteristic
223C2×C22⋊Dic5C2311yescharacteristic
224C2×C22⋊Dic5C2311yescharacteristic
225C2×C22⋊Dic5C2311yescharacteristic
226#4092—24no—
227Q8×Dic5—24no—
228C4×C22⋊D5—24no—
229C2×#685C2311yescharacteristic
230C2×#685C2311yescharacteristic
231C2×#685C2311yescharacteristic
232C2×#685C2311yescharacteristic
233C2×#685C2311yescharacteristic
234C2×#685C2311yescharacteristic
235C2×#685C2311yescharacteristic
236C2×C4⋊Dic5C2311yescharacteristic
237C2×C4⋊Dic5C2311yescharacteristic
238C2×C4⋊Dic5C2311yescharacteristic
239C2×C4⋊Dic5C2311yescharacteristic
240C2×C4⋊Dic5C2311yescharacteristic
241C2×C4⋊Dic5C2311yescharacteristic
242C2×C4⋊Dic5C2311yescharacteristic
243C2×C4⋊Dic5C2311yescharacteristic
244C2×C4⋊Dic5C2311yescharacteristic
245C2×C4⋊Dic5C2311yescharacteristic
246C2×#683C2311yescharacteristic
247C2×#683C2311yescharacteristic
248C2×#683C2311yescharacteristic
249C2×#683C2311yescharacteristic
250C2×#683C2311yescharacteristic
251C2×#683C2311yescharacteristic
252C2×#683C2311yescharacteristic
253C2×#683C2311yescharacteristic
254C2×#683C2311yescharacteristic
255C2×#683C2311yescharacteristic
256C2×#683C2311yescharacteristic
257C2×#683C2311yescharacteristic
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×C4×Dic5—42no—
274C2×C4×Dic5C2311yescharacteristic
275C2×C4×Dic5C2311yescharacteristic
276C2×C4×Dic5C2311yescharacteristic
277C2×C4×Dic5C2311yescharacteristic
278C2×C4×Dic5C2311yescharacteristic
279C2×C4×Dic5C2311yescharacteristic
280C2×C4×Dic5C2311yescharacteristic
281C2×C4×Dic5C2311yescharacteristic
282C2×C4×Dic5C2311yescharacteristic
283C2×C4×Dic5C2311yescharacteristic
284C2×C4×Dic5C2311yescharacteristic
285C2×C4×Dic5C2311yescharacteristic
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#4042—24no—
296#4042—24no—
297D5×C4⋊C4—24no—
298D5×C4⋊C4—24no—
299#4036—24no—
300#4033—42no—
301#4033—42no—
302#4027—24no—
303#4027Q818yescomplemented
304#4024—24no—
305#4023—24no—
306#4023—42no—
307C42×D5—24no—
308C42×D5—42no—
309C42×D5—42no—
310C5×#95C2311yescharacteristic
311C5×#95C2311yescharacteristic
312C5×#95C2311yescharacteristic
313C5×#95C2311yescharacteristic
314C5×#95C2311yescharacteristic
315C5×#95C2311yescharacteristic
316C5×#95C2311yescharacteristic
317C5×#95C2311yescharacteristic
318C5×#95C2311yescharacteristic
319C5×#95C2311yescharacteristic
320C5×#95C2311yescharacteristic
321C5×#95C2311yescharacteristic
322C5×#95C2311yescharacteristic
323C5×#95C2311yescharacteristic
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#3963C2311yescharacteristic
359#3963C2311yescharacteristic
360#3963C2311yescharacteristic
361#3963C2311yescharacteristic
362#2590—51no—
363#2589D511yescharacteristic, complemented
364#2588—51no—
365#2587—51no—
366#2586—51no—
367#2585—51no—
368#2583—51no—
369#2579—51no—
370#2574—51no—
371#2564—51no—
372#2556—51no—
373#2549—51no—
374#2505—51no—
375#2473—51no—
376#2450—51no—
377#2449—51no—
378#2402—51no—
379#2399—51no—
380#2396—51no—
381#2396—51no—
382C4×#125—51no—
383C4×C22⋊Q8—51no—
384C4×C22⋊Q8—51no—
385C4×C22⋊Q8—51no—
386C4×C22⋊Q8—51no—
387#2296—51no—
388#2295—51no—
389#2290—51no—
390#2290—51no—
391C42×D4—51no—
392C2×C4×C4⋊C4—51no—
393C24×C5C2411yescharacteristic
394C23×D5C2411yescharacteristic
395C2×C5×Q8—22no—
396C2×C5×Q8—22no—
397C2×C5×Q8—41no—
398C22×C4×C5—22no—
399C22×C4×C5—41no—
400C22×C4×C5—41no—
401C22×C4×C5C2411yescharacteristic
402C22×C4×C5C2411yescharacteristic
403C22×C4×C5C2411yescharacteristic
404C22×C4×C5C2411yescharacteristic
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
415C2×C22⋊D5—22no—
416C2×C22⋊D5—22no—
417C2×C22⋊D5C2×Q814yes—
418C22×Dic5—22no—
419C22×Dic5—22no—
420C22×Dic5—22no—
421C22×Dic5—22no—
422C22×Dic5—41no—
423C22×Dic5C2×Q814yes—
424C22×Dic5C2411yescharacteristic
425C22×Dic5C2411yescharacteristic
426C22×Dic5C2411yescharacteristic
427C22×Dic5C2411yescharacteristic
428C22×Dic5C2411yescharacteristic
429C22×Dic5C2411yescharacteristic
430C22×Dic5C2411yescharacteristic
431C22×Dic5C2411yescharacteristic
432C22×Dic5C2411yescharacteristic
433C22×Dic5C2411yescharacteristic
434C22×Dic5C2411yescharacteristic
435C22×Dic5C2411yescharacteristic
436C22×Dic5C2411yescharacteristic
437C22×Dic5C2411yescharacteristic
438C22×Dic5C2411yescharacteristic
439C2×C4×D5—22no—
440C2×C4×D5—22no—
441C2×C4×D5—22no—
442C2×C4×D5—22no—
443C2×C4×D5—22no—
444C2×C4×D5—22no—
445C2×C4×D5—22no—
446C2×C4×D5—22no—
447C2×C4×D5—22no—
448C2×C4×D5—22no—
449C2×C4×D5—22no—
450C2×C4×D5—22no—
451C2×C4×D5—41no—
452C2×C4×D5—41no—
453C2×C4×D5—41no—
454C2×C4×D5—41no—
455C2×C4×D5—41no—
456C2×C4×D5—41no—
457C2×C4×D5—41no—
458C2×C4×D5C2×Q814yes—
459C2×C4×D5#4114yes—
460C2×Dic10—22no—
461C2×Dic10—22no—
462C2×Dic10—22no—
463C2×Dic10—41no—
464C2×Dic10—41no—
465C2×Dic10—41no—
466C5×C4⋊C4—22no—
467C5×C4⋊C4—22no—
468C5×C4⋊C4—22no—
469C5×C4⋊C4—22no—
470C5×C4⋊C4—22no—
471C5×C4⋊C4—41no—
472C5×C4⋊C4—41no—
473C5×C4⋊C4—41no—
474C5×C4⋊C4—41no—
475C5×C22⋊C4—22no—
476C5×C22⋊C4—22no—
477C5×C22⋊C4—22no—
478C5×C22⋊C4—41no—
479C5×C22⋊C4—41no—
480C5×C22⋊C4C2×Q814yes—
481C42×C5—22no—
482C42×C5—41no—
483C42×C5—41no—
484C42×C5—41no—
485C22⋊Dic5—22no—
486C22⋊Dic5—22no—
487C22⋊Dic5—22no—
488C22⋊Dic5—41no—
489C22⋊Dic5—41no—
490#685—22no—
491#685—22no—
492#685—22no—
493#685—22no—
494#685—22no—
495#685C2×Q814yes—
496#685#4114yes—
497C4⋊Dic5—22no—
498C4⋊Dic5—22no—
499C4⋊Dic5—22no—
500C4⋊Dic5—22no—
501C4⋊Dic5—22no—
502C4⋊Dic5—22no—
503C4⋊Dic5—22no—
504C4⋊Dic5—41no—
505C4⋊Dic5—41no—
506C4⋊Dic5#4114yes—
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—22no—
518#683—22no—
519#683—22no—
520#683—22no—
521#683—22no—
522#683—22no—
523#683—22no—
524#683—22no—
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#683C2×Q814yes—
534C4×Dic5—22no—
535C4×Dic5—22no—
536C4×Dic5—22no—
537C4×Dic5—22no—
538C4×Dic5—22no—
539C4×Dic5—22no—
540C4×Dic5—22no—
541C4×Dic5—22no—
542C4×Dic5—22no—
543C4×Dic5—22no—
544C4×Dic5—22no—
545C4×Dic5—22no—
546C4×Dic5—22no—
547C4×Dic5—22no—
548C4×Dic5—22no—
549C4×Dic5—41no—
550C4×Dic5—41no—
551C4×Dic5—41no—
552C4×Dic5—41no—
553C4×Dic5C2×Q814yes—
554C4×Dic5#4114yes—
555C2×#125—51no—
556C2×C22⋊Q8—51no—
557C2×C22⋊Q8—51no—
558C2×C22⋊Q8—51no—
559C2×C22⋊Q8—51no—
560C2×C4×Q8—51no—
561C2×C4×Q8—51no—
562C2×C4×Q8—51no—
563C2×C4×D4—51no—
564C2×C4×D4—51no—
565C2×C4×D4—51no—
566C2×#117—51no—
567C2×#117—51no—
568C22×C4⋊C4—51no—
569C22×C4⋊C4—51no—
570C22×C42—51no—
571C22×C42—51no—
572C22×C42—51no—
573C22×C42—51no—
574#400—51no—
575#400—51no—
576#400—51no—
577#400—51no—
578#400—51no—
579#400C2×D511yescharacteristic
580#399—51no—
581#399C2×D511yescharacteristic
582#398—51no—
583#398—51no—
584#398—51no—
585#398—51no—
586#398—51no—
587#398—51no—
588#398—51no—
589#398—51no—
590#398—51no—
591#398—51no—
592#398—51no—
593#398C2×D511yescharacteristic
594#396—51no—
595#396—51no—
596#396—51no—
597#396—51no—
598#395—51no—
599#395—51no—
600#395—51no—
601#395—51no—
602#395—51no—
603#395—51no—
604#393—51no—
605#393C2×D511yescharacteristic
606#391—51no—
607#391—51no—
608#391—51no—
609#391—51no—
610#391C2×D511yescharacteristic
611#391C2×D511yescharacteristic
612#389—51no—
613#389—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#389C2×D511yescharacteristic
624#388—51no—
625#388—51no—
626#388C2×D511yescharacteristic
627#388C2×D511yescharacteristic
628#387—51no—
629#387—51no—
630#387—51no—
631#387—51no—
632#387—51no—
633#387—51no—
634#387—51no—
635#387—51no—
636#387—51no—
637#387—51no—
638#387—51no—
639#387—51no—
640#387—51no—
641#387—51no—
642#387—51no—
643#387—51no—
644#387—51no—
645#387—51no—
646#387C2×D511yescharacteristic
647#387C2×D511yescharacteristic
648#386—51no—
649#386—51no—
650#386—51no—
651#386—51no—
652#385—51no—
653#385—51no—
654#385—51no—
655#385—51no—
656#385—51no—
657#385—51no—
658#385—51no—
659#385—51no—
660#385—51no—
661#385—51no—
662#385—51no—
663#385—51no—
664#385—51no—
665#385—51no—
666#385C2×D511yescharacteristic
667#385C2×D511yescharacteristic
668#382—51no—
669#380—51no—
670#380—51no—
671#380—51no—
672#380—51no—
673C4×C4⋊C4—51no—
674C4×C4⋊C4—51no—
675C4×C4⋊C4—51no—
676C4×C4⋊C4—51no—
677C4×C4⋊C4—51no—
678C4×C4⋊C4—51no—
679C4×C4⋊C4—51no—
680C4×C4⋊C4—51no—
681C4×C4⋊C4—51no—
682C4×C4⋊C4—51no—
683C4×C4⋊C4—51no—
684C4×C4⋊C4—51no—
685C4×C4⋊C4—51no—
686C4×C4⋊C4—51no—
687C4×C4⋊C4—51no—
688C4×C4⋊C4—51no—
689C4×C4⋊C4—51no—
690C4×C4⋊C4—51no—
691C4×C4⋊C4—51no—
692C4×C4⋊C4—51no—
693C4×C4⋊C4—51no—
694C4×C4⋊C4C2×D511yescharacteristic
695C4×C22⋊C4—51no—
696C4×C22⋊C4—51no—
697C4×C22⋊C4—51no—
698C4×C22⋊C4—51no—
699C4×C22⋊C4—51no—
700C4×C22⋊C4—51no—
701C4×C22⋊C4—51no—
702C4×C22⋊C4—51no—
703C4×C22⋊C4—51no—
704C4×C22⋊C4C2×D511yescharacteristic
705#376—51no—
706#376—51no—
707C2×#95—51no—
708C2×#95—51no—
709C43—51no—
710C23×C5—21no—
711C23×C5—21no—
712C23×C5—21no—
713C23×C5—21no—
714C23×C5—21no—
715C23×C5—21no—
716C23×C5C22×Q812yes—
717C23×C5C2511yescharacteristic
718C22×D5—21no—
719C22×D5—21no—
720C22×D5—21no—
721C22×D5—21no—
722C22×D5C22×Q812yes—
723C22×D5C2×#4112yes—
724C22×D5C2×#4112yes—
725C5×Q8—44no—
726C2×C4×C5—21no—
727C2×C4×C5—21no—
728C2×C4×C5—21no—
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—44no—
763C2×C4×C5C22×Q812yes—
764C2×C4×C5C22×Q812yes—
765C2×C4×C5C2×#4112yes—
766C2×C4×C5C2×#4112yes—
767C2×C4×C5C2×#4112yes—
768C2×C4×C5C2×#4112yes—
769C22⋊D5—28no—
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—28no—
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—44no—
807C2×Dic5C22×Q812yes—
808C2×Dic5C22×Q812yes—
809C2×Dic5C22×Q812yes—
810C2×Dic5C2×#4112yes—
811C2×Dic5C2×#4112yes—
812C2×Dic5C2×#4112yes—
813C2×Dic5C2×#4112yes—
814C2×Dic5C2×#4112yes—
815C2×Dic5C2×#4112yes—
816C2×Dic5H(5,𝔽2)12yes—
817C4×D5—28no—
818C4×D5—28no—
819C4×D5—44no—
820C4×D5—44no—
821C4×D5—44no—
822C4×D5—44no—
823C4×D5—44no—
824Dic10—44no—
825Dic10—44no—
826C22×Q8—51no—
827C22×Q8—51no—
828C22×Q8C22×D511yescharacteristic
829C22×D4—51no—
830C23×C4—51no—
831C23×C4—51no—
832C23×C4—51no—
833C23×C4—51no—
834C23×C4—51no—
835C23×C4—51no—
836C23×C4—51no—
837C23×C4—51no—
838C23×C4—51no—
839C23×C4C22×D511yescharacteristic
840#125—104no—
841C22⋊Q8—104no—
842C22⋊Q8—104no—
843C22⋊Q8—104no—
844C22⋊Q8—104no—
845C4×Q8—104no—
846C4×Q8—202no—
847C4×Q8—202no—
848C4×D4—58no—
849C4×D4—104no—
850C4×D4—104no—
851#117—104no—
852#117—202no—
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—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—104no—
891C2×C4⋊C4—104no—
892C2×C4⋊C4C22×D511yescharacteristic
893C2×C4⋊C4C22×D511yescharacteristic
894C2×C4⋊C4C22×D511yescharacteristic
895C2×C4⋊C4C22×D511yescharacteristic
896C2×C4⋊C4C22×D511yescharacteristic
897C2×C4⋊C4C22×D511yescharacteristic
898C2×C4⋊C4C22×D511yescharacteristic
899C2×C4⋊C4C22×D511yescharacteristic
900C2×C4⋊C4C22×D511yescharacteristic
901C2×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⋊C4C22×D511yescharacteristic
914C2×C22⋊C4C22×D511yescharacteristic
915C2×C22⋊C4C22×D511yescharacteristic
916C2×C22⋊C4C22×D511yescharacteristic
917C2×C22⋊C4C22×D511yescharacteristic
918C2×C22⋊C4C22×D511yescharacteristic
919C2×C42—51no—
920C2×C42—51no—
921C2×C42—51no—
922C2×C42—51no—
923C2×C42—51no—
924C2×C42—51no—
925C2×C42—51no—
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—51no—
937C2×C42—51no—
938C2×C42—51no—
939C2×C42—51no—
940C2×C42—104no—
941C2×C42—202no—
942C2×C42—202no—
943C2×C42—202no—
944C2×C42C22×D511yescharacteristic
945C2×C42C22×D511yescharacteristic
946C2×C42C22×D511yescharacteristic
947C2×C42C22×D511yescharacteristic
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#95—51no—
984#95—51no—
985#95—51no—
986#95C22×D511yescharacteristic
987#95C22×D511yescharacteristic
988#95C22×D511yescharacteristic
989#95C22×D511yescharacteristic
990#95C22×D511yescharacteristic
991#95C22×D511yescharacteristic
992#95C22×D511yescharacteristic
993#95C22×D511yescharacteristic
994#95C22×D511yescharacteristic
995#95C22×D511yescharacteristic
996#95C22×D511yescharacteristic
997#95C22×D511yescharacteristic
998#95C22×D511yescharacteristic
999#95C22×D511yescharacteristic
1000C22×C5—22no—
1001C22×C5—22no—
1002C22×C5—22no—
1003C22×C5—41no—
1004C22×C5—41no—
1005C22×C5—41no—
1006C22×C5—41no—
1007C22×C5C23×Q811yescharacteristic
1008C22×C5C22×#4111yescharacteristic
1009C22×C5C22×#4111yescharacteristic
1010C22×C5C22×#4111yescharacteristic
1011C22×C5C22×#4111yescharacteristic
1012C22×C5C2×H(5,𝔽2)11yescharacteristic
1013C22×C5#58511yescharacteristic
1014C2×D5—22no—
1015C2×D5—22no—
1016C2×D5—22no—
1017C2×D5—22no—
1018C2×D5—22no—
1019C2×D5—22no—
1020C2×D5#53314yes—
1021C4×C5—22no—
1022C4×C5—22no—
1023C4×C5—22no—
1024C4×C5—22no—
1025C4×C5—22no—
1026C4×C5—22no—
1027C4×C5—41no—
1028C4×C5—41no—
1029C4×C5—41no—
1030C4×C5—41no—
1031C4×C5—41no—
1032C4×C5—41no—
1033C4×C5—41no—
1034C4×C5—41no—
1035Dic5—22no—
1036Dic5—22no—
1037Dic5—22no—
1038Dic5—22no—
1039Dic5—22no—
1040Dic5—22no—
1041Dic5—22no—
1042Dic5—41no—
1043Dic5—41no—
1044Dic5—41no—
1045Dic5—41no—
1046Dic5—41no—
1047Dic5—41no—
1048Dic5—41no—
1049Dic5#55414yes—
1050C24—51no—
1051C24C23×D511yescharacteristic
1052C2×Q8—22no—
1053C2×Q8—22no—
1054C2×Q8—41no—
1055C2×Q8—102no—
1056C2×Q8—102no—
1057C2×Q8—102no—
1058C2×Q8—201no—
1059C2×Q8—201no—
1060C2×Q8—201no—
1061C2×D4—54no—
1062C2×D4—102no—
1063C2×D4—102no—
1064C22×C4—22no—
1065C22×C4—41no—
1066C22×C4—41no—
1067C22×C4—51no—
1068C22×C4—54no—
1069C22×C4—51no—
1070C22×C4—51no—
1071C22×C4—51no—
1072C22×C4—51no—
1073C22×C4—51no—
1074C22×C4—51no—
1075C22×C4—51no—
1076C22×C4—54no—
1077C22×C4—54no—
1078C22×C4—51no—
1079C22×C4—51no—
1080C22×C4—51no—
1081C22×C4—51no—
1082C22×C4—51no—
1083C22×C4—51no—
1084C22×C4—51no—
1085C22×C4—102no—
1086C22×C4—102no—
1087C22×C4—102no—
1088C22×C4—102no—
1089C22×C4—102no—
1090C22×C4—102no—
1091C22×C4—102no—
1092C22×C4—102no—
1093C22×C4—102no—
1094C22×C4—102no—
1095C22×C4—102no—
1096C22×C4—102no—
1097C22×C4—102no—
1098C22×C4—102no—
1099C22×C4—102no—
1100C22×C4—102no—
1101C22×C4—201no—
1102C22×C4—201no—
1103C22×C4—201no—
1104C22×C4—201no—
1105C22×C4—201no—
1106C22×C4—201no—
1107C22×C4—201no—
1108C22×C4—201no—
1109C22×C4C23×D511yescharacteristic
1110C22×C4C23×D511yescharacteristic
1111C22×C4C23×D511yescharacteristic
1112C22×C4C23×D511yescharacteristic
1113C22×C4C23×D511yescharacteristic
1114C22×C4C23×D511yescharacteristic
1115C22×C4C23×D511yescharacteristic
1116C22×C4C23×D511yescharacteristic
1117C22×C4C23×D511yescharacteristic
1118C22×C4C23×D511yescharacteristic
1119C22×C4C23×D511yescharacteristic
1120C22×C4C23×D511yescharacteristic
1121C22×C4C23×D511yescharacteristic
1122C22×C4C23×D511yescharacteristic
1123C4⋊C4—22no—
1124C4⋊C4—22no—
1125C4⋊C4—22no—
1126C4⋊C4—22no—
1127C4⋊C4—22no—
1128C4⋊C4—41no—
1129C4⋊C4—41no—
1130C4⋊C4—41no—
1131C4⋊C4—41no—
1132C4⋊C4—54no—
1133C4⋊C4—54no—
1134C4⋊C4—102no—
1135C4⋊C4—102no—
1136C4⋊C4—102no—
1137C4⋊C4—102no—
1138C4⋊C4—102no—
1139C4⋊C4—102no—
1140C4⋊C4—102no—
1141C4⋊C4—102no—
1142C4⋊C4—102no—
1143C4⋊C4—102no—
1144C4⋊C4—102no—
1145C4⋊C4—102no—
1146C4⋊C4—102no—
1147C4⋊C4—102no—
1148C4⋊C4—102no—
1149C4⋊C4—102no—
1150C4⋊C4—102no—
1151C4⋊C4—102no—
1152C4⋊C4—102no—
1153C4⋊C4—102no—
1154C4⋊C4—102no—
1155C4⋊C4—102no—
1156C4⋊C4—102no—
1157C4⋊C4—102no—
1158C4⋊C4—102no—
1159C4⋊C4—201no—
1160C4⋊C4—201no—
1161C4⋊C4—201no—
1162C4⋊C4—201no—
1163C4⋊C4—201no—
1164C4⋊C4—201no—
1165C4⋊C4—201no—
1166C4⋊C4—201no—
1167C4⋊C4—201no—
1168C4⋊C4—201no—
1169C22⋊C4—22no—
1170C22⋊C4—22no—
1171C22⋊C4—22no—
1172C22⋊C4—41no—
1173C22⋊C4—41no—
1174C22⋊C4—54no—
1175C22⋊C4—54no—
1176C22⋊C4—102no—
1177C22⋊C4—102no—
1178C22⋊C4—102no—
1179C22⋊C4—102no—
1180C22⋊C4—102no—
1181C22⋊C4—102no—
1182C22⋊C4—102no—
1183C22⋊C4—102no—
1184C22⋊C4—201no—
1185C22⋊C4—201no—
1186C22⋊C4Q8×D514yes—
1187C42—22no—
1188C42—41no—
1189C42—41no—
1190C42—41no—
1191C42—54no—
1192C42—54no—
1193C42—102no—
1194C42—102no—
1195C42—102no—
1196C42—102no—
1197C42—102no—
1198C42—102no—
1199C42—102no—
1200C42—102no—
1201C42—102no—
1202C42—102no—
1203C42—102no—
1204C42—102no—
1205C42—102no—
1206C42—102no—
1207C42—102no—
1208C42—201no—
1209C42—201no—
1210C42—201no—
1211C42—201no—
1212C2×C5—42no—
1213C2×C5C2×#53311yescharacteristic
1214C2×C5#344411yescharacteristic
1215C2×C5#345911yescharacteristic
1216C2×C5C2×#55411yescharacteristic
1217C2×C5#347511yescharacteristic
1218C2×C5Q8×#4111yescharacteristic
1219C2×C5#348111yescharacteristic
1220D5—24no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—52no—
1228C23—52no—
1229C23—52no—
1230C23—101no—
1231C23—101no—
1232C23—101no—
1233C23—101no—
1234C23C2×Q8×D512yes—
1235C23C24×D511yescharacteristic
1236Q8—44no—
1237Q8—204no—
1238Q8—204no—
1239D4—108no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
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—44no—
1277C2×C4—52no—
1278C2×C4—52no—
1279C2×C4—52no—
1280C2×C4—52no—
1281C2×C4—52no—
1282C2×C4—52no—
1283C2×C4—52no—
1284C2×C4—52no—
1285C2×C4—52no—
1286C2×C4—52no—
1287C2×C4—108no—
1288C2×C4—108no—
1289C2×C4—108no—
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—204no—
1326C2×C4—204no—
1327C2×C4—204no—
1328C2×C4—204no—
1329C2×C4—204no—
1330C2×C4—204no—
1331C2×C4C2×Q8×D512yes—
1332C2×C4C2×Q8×D512yes—
1333C2×C4D5×#4112yes—
1334C2×C4D5×#4112yes—
1335C2×C4D5×#4112yes—
1336C2×C4D5×#4112yes—
1337C5#3484011yescharacteristic, complemented, Sylow
1338C22—22no—
1339C22—22no—
1340C22—22no—
1341C22—41no—
1342C22—41no—
1343C22—41no—
1344C22—41no—
1345C22—54no—
1346C22—102no—
1347C22—102no—
1348C22—102no—
1349C22—102no—
1350C22—102no—
1351C22—102no—
1352C22C22×Q8×D511yescharacteristic
1353C22C2×D5×#4111yescharacteristic
1354C22C2×D5×#4111yescharacteristic
1355C22C2×D5×#4111yescharacteristic
1356C22C2×D5×#4111yescharacteristic
1357C22D5×H(5,𝔽2)11yescharacteristic
1358C22#6628511yescharacteristic
1359C4—22no—
1360C4—22no—
1361C4—22no—
1362C4—22no—
1363C4—22no—
1364C4—22no—
1365C4—41no—
1366C4—41no—
1367C4—41no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—41no—
1373C4—54no—
1374C4—102no—
1375C4—102no—
1376C4—102no—
1377C4—102no—
1378C4—102no—
1379C4—102no—
1380C4—102no—
1381C4—201no—
1382C4—201no—
1383C4—201no—
1384C4—201no—
1385C4—201no—
1386C4—201no—
1387C4—201no—
1388C2—42no—
1389C2—104no—
1390C2#1061802011yescharacteristic
1391C2D5×#53311yescharacteristic
1392C2#1061828911yescharacteristic
1393C2#1061869111yescharacteristic
1394C2#1061882411yescharacteristic
1395C2D5×#55411yescharacteristic
1396C2#1061895111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2589C2
prime radicalC22×C22⋊D5C23
hypercenter#2589D5
hypocenterC5#34840
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2589

Complements

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

NH ≅ G/Ntype
1. C5×#2589C2semidirect
2. #10609872C2semidirect
3. #10609864C2semidirect
5. #10609749C2semidirect
6. #10609687C2semidirect
7. #10609471C2semidirect
9. #10608509C2semidirect
10. #10608368C2semidirect
11. #10608281C2semidirect
12. #10608210C2semidirect
13. #10608208C2semidirect
14. #10607978C2semidirect
15. #10607697C2semidirect
16. #10607338C2semidirect
17. #10607329C2semidirect
20. #10606834C2semidirect
21. #10606825C2semidirect
22. #10606672C2semidirect
23. #10606672C2semidirect
26. #10606112C2semidirect
27. #10606109C2semidirect
28. C4×D5×C4⋊C4C2semidirect
29. #10605464C2semidirect
30. #10605279C2semidirect
303. #4027Q8semidirect
363. #2589D5semidirect
1337. C5#34840semidirect

Maximal subgroups

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

subgroupindex
C5×#25892
#106098722
#106098642
#106098352
#106097492
#106096872
#106094712
#106085972
#106085092
#106083682
#106082812
#106082102
#106082082
#106079782
#106076972
#106073382
#106073292
#106071802
#106068342
#106068252
#106066722
#106063472
#106063462
#106061122
#106061092
C4×D5×C4⋊C42
#106054642
#106052792
C4×#40272
#348405