Finite Group Databasebeta

← #12308244

Subgroups — #12308244

Order 1280.

1714 conjugacy classes of subgroups.

The subgroup lattice has 1452 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2795C211yesmaximal, characteristic, complemented
2#10610073C211yesmaximal, characteristic, complemented
3#10610030C211yesmaximal, characteristic, complemented
4#10609155C211yesmaximal, characteristic, complemented
5#10609151C211yesmaximal, characteristic, complemented
6#10609123C211yesmaximal, characteristic, complemented
7#10609099C211yesmaximal, characteristic, complemented
8#10608856C211yesmaximal, characteristic
9#10608842C211yesmaximal, characteristic
10#10608840C211yesmaximal, characteristic
11#10608814C211yesmaximal, characteristic, complemented
12#10608771C211yesmaximal, characteristic, complemented
13#10608746C211yesmaximal, characteristic, complemented
14#10607689C211yesmaximal, characteristic, complemented
15#10607600C211yesmaximal, characteristic, complemented
16#10607597C211yesmaximal, characteristic, complemented
17#10607559C211yesmaximal, characteristic, complemented
18D5×#388C211yesmaximal, characteristic, complemented
19#10607526C211yesmaximal, characteristic, complemented
20#10607512C211yesmaximal, characteristic, complemented
21#10607510C211yesmaximal, characteristic, complemented
22#10607505C211yesmaximal, characteristic, complemented
23#10607496C211yesmaximal, characteristic, complemented
24#10607491C211yesmaximal, characteristic, complemented
25#10607272C211yesmaximal, characteristic, complemented
26#10607176C211yesmaximal, characteristic, complemented
27#10607071C211yesmaximal, characteristic, complemented
28#10607000C211yesmaximal, characteristic, complemented
29#10606966C211yesmaximal, characteristic, complemented
30#10606090C211yesmaximal, characteristic, complemented
31#10606079C211yesmaximal, characteristic, complemented
32C2×#4083C2211yescharacteristic
33C2×#4081C2211yescharacteristic
34C2×#4044C2211yescharacteristic
35C2×#4042C2211yescharacteristic
36C2×#4038C2211yescharacteristic
37C2×D5×C4⋊C4C2211yescharacteristic
38C2×#4035C2211yescharacteristic, complemented
39C2×#4029C2211yescharacteristic
40C2×#4027C2211yescharacteristic
41C2×D5×C22⋊C4C2211yescharacteristic
42C2×D5×C22⋊C4C2211yescharacteristic
43C2×D5×C22⋊C4C2211yescharacteristic
44C2×#4025C2211yescharacteristic, complemented
45C2×#4018C2211yescharacteristic
46C2×C42×D5C2211yescharacteristic
47C5×#400C2211yescharacteristic, complemented
48C5×#396C2211yescharacteristic
49C5×#396C2211yescharacteristic, complemented
50C5×#394C2211yescharacteristic
51C5×#394C2211yescharacteristic
52C5×#394C2211yescharacteristic
53C5×#388C2211yescharacteristic
54C5×#388C2211yescharacteristic
55C5×#388C2211yescharacteristic
56C5×#388C2211yescharacteristic, complemented
57C5×#388C2211yescharacteristic, complemented
58C5×#388C2211yescharacteristic, complemented
59C5×#387C2211yescharacteristic, complemented
60C5×#387C2211yescharacteristic, complemented
61C5×#384C2211yescharacteristic, complemented
62#65511C2211yescharacteristic
63#65510C2211yescharacteristic
64#65283C2211yescharacteristic
65#65283C2211yescharacteristic
66#65283C2211yescharacteristic
67#65282C2211yescharacteristic
68#65281C2211yescharacteristic
69#65281C2211yescharacteristic
70#65281C2211yescharacteristic
71#65279C2211yescharacteristic
72#65278C2211yescharacteristic
73#65278C2211yescharacteristic
74#65278C2211yescharacteristic
75#65278C2211yescharacteristic
76#65278C2211yescharacteristic
77#65276C2211yescharacteristic
78#65273C2211yescharacteristic, complemented
79#65273C2211yescharacteristic, complemented
80#65271C2211yescharacteristic, complemented
81#65270C2211yescharacteristic, complemented
82#65270C2211yescharacteristic, complemented
83#65269C2211yescharacteristic, complemented
84#65267C2211yescharacteristic, complemented
85#65266C2211yescharacteristic, complemented
86#65265C2211yescharacteristic, complemented
87#65263C2211yescharacteristic, complemented
88#65262C2211yescharacteristic, complemented
89#65261C2211yescharacteristic, complemented
90#65261C2211yescharacteristic, complemented
91#65261C2211yescharacteristic, complemented
92#65261C2211yescharacteristic, complemented
93#65261C2211yescharacteristic, complemented
94#65261C2211yescharacteristic, complemented
95#65250C2211yescharacteristic
96#65250C2211yescharacteristic
97#65248C2211yescharacteristic
98#65248C2211yescharacteristic
99#65247C2211yescharacteristic
100#65246C2211yescharacteristic
101#65245C2211yescharacteristic
102#65245C2211yescharacteristic
103#65245C2211yescharacteristic
104#65245C2211yescharacteristic
105#65244C2211yescharacteristic
106#65244C2211yescharacteristic
107#65244C2211yescharacteristic
108#65242C2211yescharacteristic
109#65241C2211yescharacteristic
110#65241C2211yescharacteristic
111#65241C2211yescharacteristic
112#65241C2211yescharacteristic
113#65241C2211yescharacteristic, complemented
114#65240C2211yescharacteristic
115#65240C2211yescharacteristic
116#65240C2211yescharacteristic, complemented
117#65239C2211yescharacteristic, complemented
118#65238C2211yescharacteristic
119#65238C2211yescharacteristic
120#65238C2211yescharacteristic, complemented
121#65237C2211yescharacteristic
122#65237C2211yescharacteristic
123#65237C2211yescharacteristic
124#65236C2211yescharacteristic
125#65236C2211yescharacteristic, complemented
126#65235C2211yescharacteristic, complemented
127#65235C2211yescharacteristic, complemented
128#65234C2211yescharacteristic
129#65234C2211yescharacteristic
130#65234C2211yescharacteristic, complemented
131#65234C2211yescharacteristic, complemented
132#65233C2211yescharacteristic
133#65233C2211yescharacteristic
134#65233C2211yescharacteristic
135#65233C2211yescharacteristic, complemented
136#65231C2211yescharacteristic, complemented
137#65229C2211yescharacteristic
138#65229C2211yescharacteristic
139#65229C2211yescharacteristic
140C4×#685C2211yescharacteristic
141#65225C2211yescharacteristic, complemented
142#65225C2211yescharacteristic, complemented
143#65222C2211yescharacteristic, complemented
144#65222C2211yescharacteristic, complemented
145#65222C2211yescharacteristic, complemented
146#65217C2211yescharacteristic, complemented
147#64964C2211yescharacteristic
148#64964C2211yescharacteristic
149#64964C2211yescharacteristic
150#64964C2211yescharacteristic
151#64962C2211yescharacteristic
152#64959C2211yescharacteristic
153#64959C2211yescharacteristic
154#64959C2211yescharacteristic
155#64958C2211yescharacteristic
156#64958C2211yescharacteristic
157#64957C2211yescharacteristic
158#64957C2211yescharacteristic
159#64957C2211yescharacteristic
160#64957C2211yescharacteristic
161#64957C2211yescharacteristic
162#64956C2211yescharacteristic
163#64956C2211yescharacteristic
164#64953C2211yescharacteristic
165D5×#95C2211yescharacteristic
166D5×#95C2211yescharacteristic
167#64950C2211yescharacteristic, complemented
168#64949C2211yescharacteristic, complemented
169#64949C2211yescharacteristic, complemented
170#64947C2211yescharacteristic, complemented
171#64947C2211yescharacteristic, complemented
172#64946C2211yescharacteristic, complemented
173#64945C2211yescharacteristic, complemented
174#64944C2211yescharacteristic, complemented
175#64944C2211yescharacteristic, complemented
176#64943C2211yescharacteristic, complemented
177#64943C2211yescharacteristic, complemented
178#64943C2211yescharacteristic, complemented
179#64942C2211yescharacteristic, complemented
180#64942C2211yescharacteristic, complemented
181#64941C2211yescharacteristic, complemented
182#64940C2211yescharacteristic, complemented
183#64939C2211yescharacteristic, complemented
184#64936C2211yescharacteristic, complemented
185#64936C2211yescharacteristic, complemented
186#64935C2211yescharacteristic, complemented
187#36796—51nomaximal, Sylow
188C24×D5C2311yescharacteristic
189C22×C5×D4C2311yescharacteristic
190C22×C22⋊D5C2311yescharacteristic
191C22×C22⋊D5C2311yescharacteristic
192C23×Dic5C2311yescharacteristic
193C22×C4×D5C2311yescharacteristic
194C22×C4×D5C2311yescharacteristic
195C22×C4×D5C2311yescharacteristic
196C22×C4×D5C2311yescharacteristic
197C22×C4×D5C2311yescharacteristic
198C22×C4×D5C2311yescharacteristic
199C22×Dic10C2311yescharacteristic
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×C4⋊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×C42×C5C2311yescharacteristic
224C2×C22⋊Dic5C2311yescharacteristic
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
236#4083—42no—
237#4081—42no—
238C2×#685C2311yescharacteristic
239C2×#685C2311yescharacteristic
240C2×#685C2311yescharacteristic
241C2×#685C2311yescharacteristic
242C2×#685C2311yescharacteristic
243C2×#685C2311yescharacteristic
244C2×#685C2311yescharacteristic
245C2×#685C2311yescharacteristic
246C2×#685C2311yescharacteristic
247C2×#685C2311yescharacteristic
248C2×#685C2311yescharacteristic
249C2×#685C2311yescharacteristic
250C2×#685C2311yescharacteristic
251C2×#685C2311yescharacteristic
252C2×#685C2311yescharacteristic
253C2×#685C2311yescharacteristic
254C2×#685C2311yescharacteristic
255C2×#685C2311yescharacteristic
256C2×#685C2311yescharacteristic
257C2×#685C2311yescharacteristic
258C2×C4⋊Dic5C2311yescharacteristic
259C2×C4⋊Dic5C2311yescharacteristic
260C2×C4⋊Dic5C2311yescharacteristic
261C2×C4⋊Dic5C2311yescharacteristic
262C2×C4⋊Dic5C2311yescharacteristic
263C2×C4⋊Dic5C2311yescharacteristic
264C2×C4⋊Dic5C2311yescharacteristic
265C2×C4⋊Dic5C2311yescharacteristic
266C2×C4⋊Dic5C2311yescharacteristic
267C2×#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×#683C2311yescharacteristic
287C2×#683C2311yescharacteristic
288C2×#683C2311yescharacteristic
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#4044—42no—
298#4042—42no—
299#4038—42no—
300D5×C4⋊C4—42no—
301#4035—42no—
302#4029—24no—
303#4027—42no—
304D5×C22⋊C4—24no—
305D5×C22⋊C4—42no—
306D5×C22⋊C4—42no—
307#4025—42no—
308#4018—24no—
309C42×D5—42no—
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#2852—51no—
359#2851—51no—
360#2808—51no—
361#2798—51no—
362#2796—51no—
363#2795D511yescharacteristic, complemented
364#2793—51no—
365#2785—51no—
366#2783—51no—
367#2783—51no—
368#2781—51no—
369#2777—51no—
370#2775—51no—
371#2773—51no—
372#2727—51no—
373#2721—51no—
374#2718—51no—
375#2694—51no—
376#2626—51no—
377#2622—51no—
378#2505—51no—
379#2498—51no—
380#2482—51no—
381#2480—51no—
382#2450—51no—
383#2438—51no—
384#2418—51no—
385#2411—51no—
386#2322—51no—
387#2317—51no—
388C2×#388—51no—
389C24×C5C2411yescharacteristic
390C24×C5C2411yescharacteristic
391C23×D5—22no—
392C23×D5—22no—
393C23×D5—22no—
394C23×D5—41no—
395C23×D5—41no—
396C23×D5—41no—
397C23×D5—41no—
398C23×D5C2411yescharacteristic
399C23×D5C2411yescharacteristic
400C2×C5×D4—41no—
401C2×C5×D4—41no—
402C2×C5×D4—41no—
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
415C22×C4×C5C2411yescharacteristic
416C2×C22⋊D5—22no—
417C2×C22⋊D5—22no—
418C2×C22⋊D5—22no—
419C2×C22⋊D5—41no—
420C2×C22⋊D5—41no—
421C2×C22⋊D5—41no—
422C22×Dic5—41no—
423C22×Dic5—41no—
424C22×Dic5—41no—
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—41no—
448C2×C4×D5—41no—
449C2×C4×D5—41no—
450C2×C4×D5—41no—
451C2×C4×D5—41no—
452C2×C4×D5—41no—
453C2×C4×D5—41no—
454C2×C4×D5—41no—
455C2×C4×D5—41no—
456C2×C4×D5#4114yes—
457C2×Dic10—41no—
458C2×Dic10—41no—
459C2×Dic10—41no—
460C5×C4⋊C4—41no—
461C5×C4⋊C4—41no—
462C5×C4⋊C4—41no—
463C5×C4⋊C4—41no—
464C5×C4⋊C4—41no—
465C5×C4⋊C4—41no—
466C5×C4⋊C4—41no—
467C5×C4⋊C4—41no—
468C5×C4⋊C4—41no—
469C5×C22⋊C4—22no—
470C5×C22⋊C4—22no—
471C5×C22⋊C4—41no—
472C5×C22⋊C4—41no—
473C5×C22⋊C4—41no—
474C5×C22⋊C4—41no—
475C5×C22⋊C4—41no—
476C5×C22⋊C4—41no—
477C5×C22⋊C4—41no—
478C5×C22⋊C4—41no—
479C5×C22⋊C4—41no—
480C5×C22⋊C4—41no—
481C42×C5—22no—
482C42×C5—41no—
483C42×C5—41no—
484C22⋊Dic5—22no—
485C22⋊Dic5—22no—
486C22⋊Dic5—22no—
487C22⋊Dic5—22no—
488C22⋊Dic5—41no—
489C22⋊Dic5—41no—
490C22⋊Dic5—41no—
491C22⋊Dic5—41no—
492C22⋊Dic5—41no—
493C22⋊Dic5—41no—
494C22⋊Dic5—41no—
495C22⋊Dic5—41no—
496#685—22no—
497#685—22no—
498#685—22no—
499#685—22no—
500#685—22no—
501#685—22no—
502#685—22no—
503#685—22no—
504#685—22no—
505#685—22no—
506#685—41no—
507#685—41no—
508#685—41no—
509#685—41no—
510#685—41no—
511#685—41no—
512#685—41no—
513#685—41no—
514#685—41no—
515#685—41no—
516C4⋊Dic5—22no—
517C4⋊Dic5—22no—
518C4⋊Dic5—41no—
519C4⋊Dic5—41no—
520C4⋊Dic5—41no—
521C4⋊Dic5—41no—
522C4⋊Dic5—41no—
523C4⋊Dic5—41no—
524C4⋊Dic5—41no—
525#683—22no—
526#683—22no—
527#683—22no—
528#683—22no—
529#683—22no—
530#683—41no—
531#683—41no—
532#683—41no—
533#683—41no—
534#683—41no—
535#683—41no—
536#683—41no—
537#683—41no—
538#683—41no—
539#683—41no—
540#683—41no—
541#683—41no—
542#683—41no—
543#683—41no—
544#683—41no—
545#683—41no—
546#683—41no—
547C4×Dic5—22no—
548C4×Dic5—22no—
549C4×Dic5—22no—
550C4×Dic5—41no—
551C4×Dic5—41no—
552C4×Dic5—41no—
553C4×Dic5—41no—
554C4×Dic5—41no—
555C2×#126—51no—
556C2×#126—51no—
557C2×#125—51no—
558C2×#123—51no—
559C2×#123—51no—
560C2×C22⋊Q8—51no—
561C2×#120—51no—
562C2×C4×D4—51no—
563C2×#117—51no—
564C2×#117—51no—
565C22×C4⋊C4—51no—
566C22×C22⋊C4—51no—
567C22×C22⋊C4—51no—
568C22×C22⋊C4—51no—
569C22×C42—51no—
570#400—51no—
571#400—51no—
572#400—51no—
573#400—51no—
574#400—51no—
575#400C2×D511yescharacteristic, complemented
576#399—51no—
577#399—51no—
578#399—51no—
579#399—51no—
580#399—51no—
581#399—51no—
582#398—51no—
583#398—51no—
584#398—51no—
585#398—51no—
586#398—51no—
587#397—51no—
588#397—51no—
589#397—51no—
590#397—51no—
591#397—51no—
592#397—51no—
593#397—51no—
594#397—51no—
595#397—51no—
596#397—51no—
597#397—51no—
598#396—51no—
599#396—51no—
600#396—51no—
601#396—51no—
602#396—51no—
603#396—51no—
604#396C2×D511yescharacteristic
605#396C2×D511yescharacteristic, complemented
606#395—51no—
607#394—51no—
608#394—51no—
609#394—51no—
610#394—51no—
611#394—51no—
612#394C2×D511yescharacteristic
613#394C2×D511yescharacteristic
614#394C2×D511yescharacteristic
615#393—51no—
616#393—51no—
617#393—51no—
618#391—51no—
619#391—51no—
620#390—51no—
621#390—51no—
622#389—51no—
623#389—51no—
624#389—51no—
625#389—51no—
626#389—51no—
627#389—51no—
628#389—51no—
629#389—51no—
630#389—51no—
631#389—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#388—51no—
647#388—51no—
648#388—51no—
649#388—51no—
650#388—51no—
651#388—51no—
652#388C2×D511yescharacteristic
653#388C2×D511yescharacteristic
654#388C2×D511yescharacteristic
655#388C2×D511yescharacteristic, complemented
656#388C2×D511yescharacteristic, complemented
657#388C2×D511yescharacteristic, complemented
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#387—51no—
669#387—51no—
670#387—51no—
671#387—51no—
672#387C2×D511yescharacteristic, complemented
673#387C2×D511yescharacteristic, complemented
674#386—51no—
675#386—51no—
676#386—51no—
677#386—51no—
678#386—51no—
679#385—51no—
680#385—51no—
681#385—51no—
682#385—51no—
683#385—51no—
684#385—51no—
685#385—51no—
686#385—51no—
687#385—51no—
688#385—51no—
689#385—51no—
690#385—51no—
691#385—51no—
692#384—51no—
693#384C2×D511yescharacteristic, complemented
694#383—51no—
695#382—51no—
696#382—51no—
697#382—51no—
698#382—51no—
699#381—51no—
700#380—51no—
701#380—51no—
702#380—51no—
703#380—51no—
704#379—51no—
705#379—51no—
706#379—51no—
707C4×C22⋊C4—51no—
708C2×#95—51no—
709C2×#95—51no—
710C23×C5—21no—
711C23×C5—21no—
712C23×C5—21no—
713C23×C5—21no—
714C23×C5—21no—
715C23×C5—21no—
716C23×C5—21no—
717C23×C5—21no—
718C23×C5—21no—
719C23×C5—21no—
720C23×C5—21no—
721C23×C5—21no—
722C23×C5—21no—
723C23×C5—21no—
724C23×C5C2511yescharacteristic
725C22×D5—21no—
726C22×D5—21no—
727C22×D5—21no—
728C22×D5—21no—
729C22×D5—21no—
730C22×D5—21no—
731C22×D5—21no—
732C22×D5—21no—
733C22×D5—21no—
734C22×D5—21no—
735C22×D5—21no—
736C22×D5—44no—
737C22×D5—44no—
738C22×D5—44no—
739C22×D5—82no—
740C22×D5—82no—
741C22×D5—82no—
742C22×D5—82no—
743C22×D5C2×#4112yes—
744C22×D5H(5,𝔽2)12yes—
745C22×D52−1+412yes—
746C5×D4—82no—
747C2×C4×C5—21no—
748C2×C4×C5—21no—
749C2×C4×C5—21no—
750C2×C4×C5—21no—
751C2×C4×C5—21no—
752C2×C4×C5—21no—
753C2×C4×C5—21no—
754C2×C4×C5—21no—
755C2×C4×C5—21no—
756C2×C4×C5—21no—
757C2×C4×C5—21no—
758C2×C4×C5—21no—
759C2×C4×C5—21no—
760C2×C4×C5—21no—
761C2×C4×C5—21no—
762C2×C4×C5—21no—
763C2×C4×C5—21no—
764C2×C4×C5—21no—
765C2×C4×C5—21no—
766C2×C4×C5—21no—
767C2×C4×C5—21no—
768C2×C4×C5—21no—
769C2×C4×C5—21no—
770C2×C4×C5—21no—
771C2×C4×C5—21no—
772C2×C4×C5—21no—
773C2×C4×C5—21no—
774C2×C4×C5—21no—
775C2×C4×C5—21no—
776C2×C4×C5—21no—
777C2×C4×C5—21no—
778C2×C4×C5—21no—
779C2×C4×C5—21no—
780C2×C4×C5—21no—
781C2×C4×C5—21no—
782C2×C4×C5—21no—
783C2×C4×C5—21no—
784C2×C4×C5—21no—
785C2×C4×C5C2×#4112yes—
786C22⋊D5—44no—
787C22⋊D5—82no—
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×Dic5—21no—
815C2×Dic5—21no—
816C2×Dic5—21no—
817C2×Dic5—21no—
818C2×Dic5—21no—
819C2×Dic5—21no—
820C2×Dic5—21no—
821C2×Dic5—21no—
822C2×Dic5—21no—
823C2×Dic5—21no—
824C2×Dic5—21no—
825C2×Dic5—21no—
826C2×Dic5—21no—
827C2×Dic5—21no—
828C2×Dic5—82no—
829C2×Dic5C2×#4112yes—
830C2×Dic5H(5,𝔽2)12yes—
831C4×D5—28no—
832C4×D5—44no—
833C4×D5—44no—
834C4×D5—44no—
835C4×D5—82no—
836C4×D5—82no—
837Dic10—82no—
838C25—51no—
839C22×Q8—51no—
840C22×D4—51no—
841C22×D4—51no—
842C22×D4C22×D511yescharacteristic
843C23×C4—51no—
844C23×C4—51no—
845C23×C4—51no—
846C23×C4—51no—
847C23×C4—51no—
848C23×C4—51no—
849C23×C4—51no—
850#126—202no—
851#126—202no—
852#125—202no—
853#123—104no—
854#123—202no—
855C22⋊Q8—202no—
856#120—202no—
857C4×D4—202no—
858#117—104no—
859#117—202no—
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—51no—
891C2×C4⋊C4—202no—
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⋊C4—51no—
914C2×C22⋊C4—51no—
915C2×C22⋊C4—51no—
916C2×C22⋊C4—51no—
917C2×C22⋊C4—51no—
918C2×C22⋊C4—51no—
919C2×C22⋊C4—51no—
920C2×C22⋊C4—51no—
921C2×C22⋊C4—51no—
922C2×C22⋊C4—51no—
923C2×C22⋊C4—51no—
924C2×C22⋊C4—51no—
925C2×C22⋊C4—51no—
926C2×C22⋊C4—51no—
927C2×C22⋊C4—51no—
928C2×C22⋊C4—51no—
929C2×C22⋊C4—51no—
930C2×C22⋊C4—51no—
931C2×C22⋊C4—51no—
932C2×C22⋊C4—51no—
933C2×C22⋊C4—104no—
934C2×C22⋊C4—202no—
935C2×C22⋊C4—202no—
936C2×C22⋊C4C22×D511yescharacteristic
937C2×C22⋊C4C22×D511yescharacteristic
938C2×C22⋊C4C22×D511yescharacteristic
939C2×C22⋊C4C22×D511yescharacteristic
940C2×C22⋊C4C22×D511yescharacteristic
941C2×C22⋊C4C22×D511yescharacteristic
942C2×C22⋊C4C22×D511yescharacteristic
943C2×C22⋊C4C22×D511yescharacteristic
944C2×C22⋊C4C22×D511yescharacteristic
945C2×C22⋊C4C22×D511yescharacteristic
946C2×C22⋊C4C22×D511yescharacteristic
947C2×C22⋊C4C22×D511yescharacteristic
948C2×C42—51no—
949C2×C42—51no—
950C2×C42—51no—
951C2×C42—51no—
952C2×C42—51no—
953C2×C42—51no—
954C2×C42—51no—
955C2×C42—51no—
956C2×C42—202no—
957C2×C42C22×D511yescharacteristic
958C2×C42C22×D511yescharacteristic
959C2×C42C22×D511yescharacteristic
960#95—51no—
961#95—51no—
962#95—51no—
963#95—51no—
964#95—51no—
965#95—51no—
966#95—51no—
967#95—51no—
968#95—51no—
969#95—51no—
970#95—51no—
971#95—51no—
972#95—51no—
973#95—51no—
974#95—51no—
975#95—51no—
976#95—51no—
977#95—51no—
978#95—51no—
979#95—51no—
980#95—51no—
981#95—51no—
982#95—51no—
983#95—51no—
984#95—51no—
985#95—51no—
986#95—51no—
987#95—51no—
988#95—51no—
989#95—51no—
990#95—51no—
991#95—51no—
992#95—51no—
993#95—51no—
994#95—51no—
995#95—51no—
996#95—51no—
997#95—51no—
998#95C22×D511yescharacteristic
999#95C22×D511yescharacteristic
1000#95C22×D511yescharacteristic
1001#95C22×D511yescharacteristic
1002#95C22×D511yescharacteristic
1003#95C22×D511yescharacteristic
1004#95C22×D511yescharacteristic
1005#95C22×D511yescharacteristic
1006#95C22×D511yescharacteristic
1007#95C22×D511yescharacteristic
1008C22×C5—41no—
1009C22×C5—41no—
1010C22×C5—41no—
1011C22×C5—41no—
1012C22×C5—41no—
1013C22×C5—41no—
1014C22×C5—41no—
1015C22×C5—41no—
1016C22×C5—41no—
1017C22×C5—41no—
1018C22×C5—41no—
1019C22×C5—41no—
1020C22×C5—41no—
1021C22×C5—41no—
1022C22×C5C22×#4111yescharacteristic
1023C22×C5C2×H(5,𝔽2)11yescharacteristic
1024C22×C5C2×H(5,𝔽2)11yescharacteristic
1025C22×C5C2×2−1+411yescharacteristic
1026C22×C5#58511yescharacteristic
1027C22×C5#58511yescharacteristic
1028C22×C5#58511yescharacteristic
1029C2×D5—22no—
1030C2×D5—22no—
1031C2×D5—22no—
1032C2×D5—22no—
1033C2×D5—22no—
1034C2×D5—22no—
1035C2×D5—41no—
1036C2×D5—41no—
1037C2×D5—41no—
1038C2×D5—41no—
1039C2×D5—41no—
1040C2×D5—41no—
1041C2×D5—41no—
1042C2×D5—88no—
1043C2×D5#53914yes—
1044C4×C5—22no—
1045C4×C5—41no—
1046C4×C5—41no—
1047C4×C5—41no—
1048C4×C5—41no—
1049C4×C5—41no—
1050C4×C5—41no—
1051C4×C5—41no—
1052C4×C5—41no—
1053C4×C5—41no—
1054C4×C5—41no—
1055C4×C5—41no—
1056C4×C5—41no—
1057Dic5—22no—
1058Dic5—22no—
1059Dic5—41no—
1060Dic5—41no—
1061Dic5—41no—
1062Dic5—41no—
1063Dic5—41no—
1064Dic5—41no—
1065Dic5—41no—
1066Dic5—41no—
1067Dic5—41no—
1068Dic5—41no—
1069Dic5—41no—
1070Dic5—41no—
1071C24—51no—
1072C24—51no—
1073C24—102no—
1074C24—102no—
1075C24—102no—
1076C24—201no—
1077C24—201no—
1078C24—201no—
1079C24—201no—
1080C24C23×D511yescharacteristic
1081C24C23×D511yescharacteristic
1082C2×Q8—201no—
1083C2×Q8—201no—
1084C2×Q8—201no—
1085C2×D4—41no—
1086C2×D4—41no—
1087C2×D4—41no—
1088C2×D4—102no—
1089C2×D4—102no—
1090C2×D4—102no—
1091C2×D4—201no—
1092C2×D4—201no—
1093C2×D4—201no—
1094C22×C4—51no—
1095C22×C4—51no—
1096C22×C4—54no—
1097C22×C4—51no—
1098C22×C4—51no—
1099C22×C4—51no—
1100C22×C4—51no—
1101C22×C4—51no—
1102C22×C4—51no—
1103C22×C4—51no—
1104C22×C4—51no—
1105C22×C4—51no—
1106C22×C4—51no—
1107C22×C4—51no—
1108C22×C4—51no—
1109C22×C4—102no—
1110C22×C4—102no—
1111C22×C4—102no—
1112C22×C4—102no—
1113C22×C4—102no—
1114C22×C4—102no—
1115C22×C4—102no—
1116C22×C4—102no—
1117C22×C4—201no—
1118C22×C4—201no—
1119C22×C4—201no—
1120C22×C4—201no—
1121C22×C4—201no—
1122C22×C4—201no—
1123C22×C4—201no—
1124C22×C4—201no—
1125C22×C4—201no—
1126C22×C4—201no—
1127C22×C4—201no—
1128C22×C4—201no—
1129C22×C4C23×D511yescharacteristic
1130C22×C4C23×D511yescharacteristic
1131C22×C4C23×D511yescharacteristic
1132C22×C4C23×D511yescharacteristic
1133C22×C4C23×D511yescharacteristic
1134C22×C4C23×D511yescharacteristic
1135C22×C4C23×D511yescharacteristic
1136C22×C4C23×D511yescharacteristic
1137C22×C4C23×D511yescharacteristic
1138C22×C4C23×D511yescharacteristic
1139C22×C4C23×D511yescharacteristic
1140C22×C4C23×D511yescharacteristic
1141C22×C4C23×D511yescharacteristic
1142C4⋊C4—41no—
1143C4⋊C4—41no—
1144C4⋊C4—41no—
1145C4⋊C4—41no—
1146C4⋊C4—41no—
1147C4⋊C4—41no—
1148C4⋊C4—41no—
1149C4⋊C4—41no—
1150C4⋊C4—41no—
1151C4⋊C4—102no—
1152C4⋊C4—102no—
1153C4⋊C4—102no—
1154C4⋊C4—102no—
1155C4⋊C4—102no—
1156C4⋊C4—102no—
1157C4⋊C4—102no—
1158C4⋊C4—201no—
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—
1169C4⋊C4—201no—
1170C4⋊C4—201no—
1171C4⋊C4—201no—
1172C4⋊C4—201no—
1173C4⋊C4—201no—
1174C4⋊C4—201no—
1175C4⋊C4—201no—
1176C4⋊C4—201no—
1177C4⋊C4—201no—
1178C4⋊C4—201no—
1179C4⋊C4—201no—
1180C4⋊C4—201no—
1181C4⋊C4—201no—
1182C22⋊C4—22no—
1183C22⋊C4—22no—
1184C22⋊C4—41no—
1185C22⋊C4—41no—
1186C22⋊C4—41no—
1187C22⋊C4—41no—
1188C22⋊C4—41no—
1189C22⋊C4—41no—
1190C22⋊C4—41no—
1191C22⋊C4—41no—
1192C22⋊C4—41no—
1193C22⋊C4—41no—
1194C22⋊C4—102no—
1195C22⋊C4—102no—
1196C22⋊C4—102no—
1197C22⋊C4—102no—
1198C22⋊C4—102no—
1199C22⋊C4—102no—
1200C22⋊C4—102no—
1201C22⋊C4—102no—
1202C22⋊C4—102no—
1203C22⋊C4—102no—
1204C22⋊C4—102no—
1205C22⋊C4—102no—
1206C22⋊C4—102no—
1207C22⋊C4—102no—
1208C22⋊C4—201no—
1209C22⋊C4—201no—
1210C22⋊C4—201no—
1211C22⋊C4—201no—
1212C22⋊C4—201no—
1213C22⋊C4—201no—
1214C22⋊C4—201no—
1215C22⋊C4—201no—
1216C22⋊C4—201no—
1217C22⋊C4—201no—
1218C22⋊C4—201no—
1219C22⋊C4—201no—
1220C22⋊C4—201no—
1221C22⋊C4—201no—
1222C22⋊C4—201no—
1223C22⋊C4—201no—
1224C22⋊C4—201no—
1225C22⋊C4—201no—
1226C42—22no—
1227C42—41no—
1228C42—41no—
1229C42—102no—
1230C42—102no—
1231C42—102no—
1232C42—201no—
1233C42—201no—
1234C42—201no—
1235C42—201no—
1236C42—201no—
1237C2×C5—81no—
1238C2×C5—81no—
1239C2×C5C2×#53911yescharacteristic
1240C2×C5#349311yescharacteristic
1241C2×C5#350611yescharacteristic
1242C2×C5#353511yescharacteristic
1243C2×C5#354211yescharacteristic
1244C2×C5#354511yescharacteristic
1245C2×C5#356411yescharacteristic
1246D5—24no—
1247D5—81no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—52no—
1263C23—52no—
1264C23—52no—
1265C23—101no—
1266C23—101no—
1267C23—101no—
1268C23—101no—
1269C23—101no—
1270C23—101no—
1271C23—101no—
1272C23—101no—
1273C23—101no—
1274C23—101no—
1275C23—101no—
1276C23—204no—
1277C23—204no—
1278C23—204no—
1279C23—402no—
1280C23—402no—
1281C23—402no—
1282C23—402no—
1283C23C24×D511yescharacteristic
1284Q8—402no—
1285D4—82no—
1286D4—204no—
1287D4—402no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—52no—
1327C2×C4—52no—
1328C2×C4—108no—
1329C2×C4—101no—
1330C2×C4—101no—
1331C2×C4—101no—
1332C2×C4—101no—
1333C2×C4—101no—
1334C2×C4—101no—
1335C2×C4—101no—
1336C2×C4—101no—
1337C2×C4—101no—
1338C2×C4—101no—
1339C2×C4—101no—
1340C2×C4—101no—
1341C2×C4—101no—
1342C2×C4—101no—
1343C2×C4—101no—
1344C2×C4—101no—
1345C2×C4—101no—
1346C2×C4—101no—
1347C2×C4—101no—
1348C2×C4—101no—
1349C2×C4—101no—
1350C2×C4—101no—
1351C2×C4—101no—
1352C2×C4—101no—
1353C2×C4—101no—
1354C2×C4—101no—
1355C2×C4—101no—
1356C2×C4—101no—
1357C2×C4—101no—
1358C2×C4—101no—
1359C2×C4—101no—
1360C2×C4—101no—
1361C2×C4—101no—
1362C2×C4—101no—
1363C2×C4—101no—
1364C2×C4—101no—
1365C2×C4—101no—
1366C2×C4—101no—
1367C2×C4—101no—
1368C2×C4—101no—
1369C2×C4—204no—
1370C2×C4—204no—
1371C2×C4—204no—
1372C2×C4—402no—
1373C2×C4—402no—
1374C2×C4—402no—
1375C2×C4D5×#4112yes—
1376C5#3679611yescharacteristic, complemented, Sylow
1377C22—41no—
1378C22—41no—
1379C22—41no—
1380C22—41no—
1381C22—41no—
1382C22—41no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—54no—
1392C22—102no—
1393C22—102no—
1394C22—102no—
1395C22—102no—
1396C22—102no—
1397C22—102no—
1398C22—201no—
1399C22—201no—
1400C22—201no—
1401C22—201no—
1402C22—201no—
1403C22—201no—
1404C22—201no—
1405C22—408no—
1406C22C2×D5×#4111yescharacteristic
1407C22#6628311yescharacteristic
1408C22#6628311yescharacteristic
1409C22D5×H(5,𝔽2)11yescharacteristic
1410C22D5×H(5,𝔽2)11yescharacteristic
1411C22#6628511yescharacteristic
1412C22D5×2−1+411yescharacteristic
1413C4—22no—
1414C4—41no—
1415C4—41no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—102no—
1427C4—102no—
1428C4—201no—
1429C4—201no—
1430C4—201no—
1431C4—201no—
1432C4—201no—
1433C4—201no—
1434C4—201no—
1435C4—201no—
1436C4—201no—
1437C4—201no—
1438C4—201no—
1439C4—201no—
1440C2—81no—
1441C2—81no—
1442C2—104no—
1443C2—401no—
1444C2D5×#53911yescharacteristic
1445C2#1061846111yescharacteristic
1446C2#1061847111yescharacteristic
1447C2#1061881111yescharacteristic
1448C2#1061881411yescharacteristic
1449C2#1061887711yescharacteristic
1450C2#1061897511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2795C2
prime radicalC2×#4083C22
hypercenter#2795D5
hypocenterC5#36796
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2795

Complements

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

NH ≅ G/Ntype
1. C5×#2795C2semidirect
2. #10610073C2semidirect
3. #10610030C2semidirect
4. #10609155C2semidirect
5. #10609151C2semidirect
6. #10609123C2semidirect
7. #10609099C2semidirect
11. #10608814C2semidirect
12. #10608771C2semidirect
13. #10608746C2semidirect
14. #10607689C2semidirect
15. #10607600C2semidirect
16. #10607597C2semidirect
17. #10607559C2semidirect
18. D5×#388C2semidirect
19. #10607526C2semidirect
20. #10607512C2semidirect
21. #10607510C2semidirect
22. #10607505C2semidirect
23. #10607496C2semidirect
24. #10607491C2semidirect
25. #10607272C2semidirect
26. #10607176C2semidirect
27. #10607071C2semidirect
28. #10607000C2semidirect
29. #10606966C2semidirect
30. #10606090C2semidirect
31. #10606079C2semidirect
38. C2×#4035C22semidirect
44. C2×#4025C22semidirect
47. C5×#400C22semidirect
49. C5×#396C22semidirect
56. C5×#388C22semidirect
57. C5×#388C22semidirect
58. C5×#388C22semidirect
59. C5×#387C22semidirect
60. C5×#387C22semidirect
61. C5×#384C22semidirect
78. #65273C22semidirect
79. #65273C22semidirect
80. #65271C22semidirect
81. #65270C22semidirect
82. #65270C22semidirect
83. #65269C22semidirect
84. #65267C22semidirect
85. #65266C22semidirect
86. #65265C22semidirect
87. #65263C22semidirect
88. #65262C22semidirect
89. #65261C22semidirect
90. #65261C22semidirect
91. #65261C22semidirect
92. #65261C22semidirect
93. #65261C22semidirect
94. #65261C22semidirect
113. #65241C22semidirect
116. #65240C22semidirect
117. #65239C22semidirect
120. #65238C22semidirect
125. #65236C22semidirect
126. #65235C22semidirect
127. #65235C22semidirect
130. #65234C22semidirect
131. #65234C22semidirect
135. #65233C22semidirect
136. #65231C22semidirect
141. #65225C22semidirect
142. #65225C22semidirect
143. #65222C22semidirect
144. #65222C22semidirect
145. #65222C22semidirect
146. #65217C22semidirect
167. #64950C22semidirect
168. #64949C22semidirect
169. #64949C22semidirect
170. #64947C22semidirect
171. #64947C22semidirect
172. #64946C22semidirect
173. #64945C22semidirect
174. #64944C22semidirect
175. #64944C22semidirect
176. #64943C22semidirect
177. #64943C22semidirect
178. #64943C22semidirect
179. #64942C22semidirect
180. #64942C22semidirect
181. #64941C22semidirect
182. #64940C22semidirect
183. #64939C22semidirect
184. #64936C22semidirect
185. #64936C22semidirect
186. #64935C22semidirect
363. #2795D5semidirect
575. #400C2×D5semidirect
605. #396C2×D5semidirect
655. #388C2×D5semidirect
656. #388C2×D5semidirect
657. #388C2×D5semidirect
672. #387C2×D5semidirect
673. #387C2×D5semidirect
693. #384C2×D5semidirect
1376. C5#36796semidirect

Maximal subgroups

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

subgroupindex
C5×#27952
#106100732
#106100302
#106091552
#106091512
#106091232
#106090992
#106088562
#106088422
#106088402
#106088142
#106087712
#106087462
#106076892
#106076002
#106075972
#106075592
D5×#3882
#106075262
#106075122
#106075102
#106075052
#106074962
#106074912
#106072722
#106071762
#106070712
#106070002
#106069662
#106060902
#106060792
#367965