Finite Group Databasebeta

← #12308262

Subgroups — #12308262

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×#2777C211yesmaximal, characteristic, complemented
2#10610075C211yesmaximal, characteristic, complemented
3#10610022C211yesmaximal, characteristic, complemented
4#10609832C211yesmaximal, characteristic
5#10609801C211yesmaximal, characteristic, complemented
6#10609686C211yesmaximal, characteristic, complemented
7#10609633C211yesmaximal, characteristic, complemented
8#10609453C211yesmaximal, characteristic, complemented
9#10609416C211yesmaximal, characteristic
10#10609407C211yesmaximal, characteristic, complemented
11#10609369C211yesmaximal, characteristic, complemented
12#10609155C211yesmaximal, characteristic, complemented
13#10609121C211yesmaximal, characteristic, complemented
14#10608016C211yesmaximal, characteristic, complemented
15#10608000C211yesmaximal, characteristic, complemented
16#10607927C211yesmaximal, characteristic, complemented
17#10607916C211yesmaximal, characteristic, complemented
18#10607880C211yesmaximal, characteristic, complemented
19#10607699C211yesmaximal, characteristic, complemented
20#10607573C211yesmaximal, characteristic
21D5×#388C211yesmaximal, characteristic, complemented
22#10607528C211yesmaximal, characteristic, complemented
23#10607512C211yesmaximal, characteristic, complemented
24#10607435C211yesmaximal, characteristic, complemented
25#10607271C211yesmaximal, characteristic, complemented
26#10607071C211yesmaximal, characteristic, complemented
27#10607049C211yesmaximal, characteristic, complemented
28#10606997C211yesmaximal, characteristic, complemented
29#10606882C211yesmaximal, characteristic, complemented
30#10606048C211yesmaximal, characteristic, complemented
31#10606019C211yesmaximal, characteristic, complemented
32C2×#4042C2211yescharacteristic
33C2×#4040C2211yescharacteristic
34C2×#4040C2211yescharacteristic
35C2×#4039C2211yescharacteristic
36C2×#4038C2211yescharacteristic
37C2×D5×C4⋊C4C2211yescharacteristic
38C2×#4036C2211yescharacteristic, complemented
39C2×#4028C2211yescharacteristic
40C2×D5×C22⋊C4C2211yescharacteristic
41C2×D5×C22⋊C4C2211yescharacteristic
42C2×D5×C22⋊C4C2211yescharacteristic
43C2×#4025C2211yescharacteristic
44C2×#4022C2211yescharacteristic, complemented
45C2×#4018C2211yescharacteristic
46C2×C42×D5C2211yescharacteristic
47C5×#400C2211yescharacteristic, complemented
48C5×#399C2211yescharacteristic
49C5×#398C2211yescharacteristic, complemented
50C5×#397C2211yescharacteristic
51C5×#397C2211yescharacteristic
52C5×#396C2211yescharacteristic
53C5×#389C2211yescharacteristic, complemented
54C5×#389C2211yescharacteristic, complemented
55C5×#389C2211yescharacteristic, complemented
56C5×#388C2211yescharacteristic
57C5×#388C2211yescharacteristic
58C5×#388C2211yescharacteristic
59C5×#387C2211yescharacteristic, complemented
60C5×#387C2211yescharacteristic, complemented
61C5×#383C2211yescharacteristic, complemented
62#65283C2211yescharacteristic
63#65283C2211yescharacteristic
64#65283C2211yescharacteristic
65#65282C2211yescharacteristic
66#65282C2211yescharacteristic
67#65282C2211yescharacteristic, complemented
68#65281C2211yescharacteristic
69#65280C2211yescharacteristic
70#65280C2211yescharacteristic
71#65279C2211yescharacteristic
72#65279C2211yescharacteristic
73#65279C2211yescharacteristic, complemented
74#65279C2211yescharacteristic, complemented
75#65279C2211yescharacteristic, complemented
76#65278C2211yescharacteristic
77#65278C2211yescharacteristic
78#65278C2211yescharacteristic
79#65278C2211yescharacteristic, complemented
80#65276C2211yescharacteristic
81#65276C2211yescharacteristic
82#65276C2211yescharacteristic
83#65276C2211yescharacteristic, complemented
84#65275C2211yescharacteristic, complemented
85#65274C2211yescharacteristic, complemented
86#65273C2211yescharacteristic, complemented
87#65273C2211yescharacteristic, complemented
88#65271C2211yescharacteristic, complemented
89#65270C2211yescharacteristic, complemented
90#65270C2211yescharacteristic, complemented
91#65270C2211yescharacteristic, complemented
92#65270C2211yescharacteristic, complemented
93#65269C2211yescharacteristic, complemented
94#65266C2211yescharacteristic, complemented
95#65265C2211yescharacteristic, complemented
96#65265C2211yescharacteristic, complemented
97#65262C2211yescharacteristic, complemented
98#65261C2211yescharacteristic, complemented
99#65250C2211yescharacteristic
100#65250C2211yescharacteristic
101#65248C2211yescharacteristic
102#65248C2211yescharacteristic
103#65246C2211yescharacteristic
104#65245C2211yescharacteristic
105#65244C2211yescharacteristic
106#65244C2211yescharacteristic
107#65244C2211yescharacteristic
108#65242C2211yescharacteristic
109#65242C2211yescharacteristic
110#65241C2211yescharacteristic
111#65240C2211yescharacteristic
112#65240C2211yescharacteristic
113#65240C2211yescharacteristic
114#65238C2211yescharacteristic
115#65238C2211yescharacteristic
116#65237C2211yescharacteristic
117#65237C2211yescharacteristic
118#65236C2211yescharacteristic
119#65234C2211yescharacteristic
120#65233C2211yescharacteristic
121#65233C2211yescharacteristic
122#65229C2211yescharacteristic
123#65229C2211yescharacteristic
124#65229C2211yescharacteristic, complemented
125#65228C2211yescharacteristic
126C4×#685C2211yescharacteristic
127#65225C2211yescharacteristic, complemented
128#65218C2211yescharacteristic, complemented
129#65217C2211yescharacteristic, complemented
130#65217C2211yescharacteristic, complemented
131#64966C2211yescharacteristic
132#64966C2211yescharacteristic, complemented
133#64965C2211yescharacteristic
134#64965C2211yescharacteristic, complemented
135#64964C2211yescharacteristic
136#64963C2211yescharacteristic
137#64963C2211yescharacteristic
138#64962C2211yescharacteristic
139#64962C2211yescharacteristic, complemented
140#64961C2211yescharacteristic
141#64961C2211yescharacteristic
142#64959C2211yescharacteristic
143#64959C2211yescharacteristic
144#64959C2211yescharacteristic
145#64959C2211yescharacteristic, complemented
146#64959C2211yescharacteristic, complemented
147#64959C2211yescharacteristic, complemented
148#64958C2211yescharacteristic
149#64958C2211yescharacteristic
150#64958C2211yescharacteristic
151#64957C2211yescharacteristic
152#64957C2211yescharacteristic
153#64957C2211yescharacteristic
154#64957C2211yescharacteristic
155#64957C2211yescharacteristic
156#64957C2211yescharacteristic
157#64957C2211yescharacteristic
158#64957C2211yescharacteristic, complemented
159#64957C2211yescharacteristic, complemented
160#64954C2211yescharacteristic
161#64954C2211yescharacteristic
162#64954C2211yescharacteristic
163#64954C2211yescharacteristic
164#64953C2211yescharacteristic
165D5×#95C2211yescharacteristic
166D5×#95C2211yescharacteristic
167#64950C2211yescharacteristic, complemented
168#64949C2211yescharacteristic, complemented
169#64947C2211yescharacteristic, complemented
170#64947C2211yescharacteristic, complemented
171#64945C2211yescharacteristic, complemented
172#64943C2211yescharacteristic, complemented
173#64943C2211yescharacteristic, complemented
174#64943C2211yescharacteristic, complemented
175#64943C2211yescharacteristic, complemented
176#64942C2211yescharacteristic, complemented
177#64942C2211yescharacteristic, complemented
178#64942C2211yescharacteristic, complemented
179#64941C2211yescharacteristic, complemented
180#64941C2211yescharacteristic, complemented
181#64941C2211yescharacteristic, complemented
182#64939C2211yescharacteristic, complemented
183#64939C2211yescharacteristic, complemented
184#64936C2211yescharacteristic, complemented
185#64936C2211yescharacteristic, complemented
186#64935C2211yescharacteristic, complemented
187#36796—51nomaximal, Sylow
188C24×D5C2311yescharacteristic
189C22×C22⋊D5C2311yescharacteristic
190C22×D20C2311yescharacteristic
191C22×D20C2311yescharacteristic
192C22×C4×D5C2311yescharacteristic
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×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×C5×C22⋊C4C2311yescharacteristic
218C2×C42×C5C2311yescharacteristic
219C2×C42×C5C2311yescharacteristic
220C2×C42×C5C2311yescharacteristic
221C2×C22⋊Dic5C2311yescharacteristic
222C2×C22⋊Dic5C2311yescharacteristic
223C2×C22⋊Dic5C2311yescharacteristic
224C2×C22⋊Dic5C2311yescharacteristic
225C2×C22⋊Dic5C2311yescharacteristic
226C2×C22⋊Dic5C2311yescharacteristic
227C2×#685C2311yescharacteristic
228C2×#685C2311yescharacteristic
229C2×#685C2311yescharacteristic
230C2×#685C2311yescharacteristic
231C2×#685C2311yescharacteristic
232C2×#685C2311yescharacteristic
233C2×#685C2311yescharacteristic
234C2×#685C2311yescharacteristic
235C2×#685C2311yescharacteristic
236C2×#685C2311yescharacteristic
237C2×#685C2311yescharacteristic
238C2×#685C2311yescharacteristic
239C2×#685C2311yescharacteristic
240C2×#685C2311yescharacteristic
241C2×#685C2311yescharacteristic
242C2×#685C2311yescharacteristic
243C2×#685C2311yescharacteristic
244C2×#685C2311yescharacteristic
245C2×#685C2311yescharacteristic
246C2×#685C2311yescharacteristic
247C2×#685C2311yescharacteristic
248C2×#685C2311yescharacteristic
249C2×#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×C4⋊Dic5C2311yescharacteristic
268C2×C4⋊Dic5C2311yescharacteristic
269C2×C4⋊Dic5C2311yescharacteristic
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×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—42no—
296#4040—24no—
297#4040—42no—
298#4039—42no—
299#4038—24no—
300D5×C4⋊C4—42no—
301#4036—42no—
302#4028—42no—
303D5×C22⋊C4—24no—
304D5×C22⋊C4—42no—
305D5×C22⋊C4—42no—
306#4025—42no—
307#4022—42no—
308#4018—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#2852—51no—
359#2851—51no—
360#2808—51no—
361#2798—51no—
362#2796—51no—
363#2795—51no—
364#2793—51no—
365#2785—51no—
366#2783—51no—
367#2783—51no—
368#2781—51no—
369#2777D511yescharacteristic, complemented
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
390C23×D5—22no—
391C23×D5—22no—
392C23×D5—22no—
393C23×D5—41no—
394C23×D5—41no—
395C23×D5—41no—
396C23×D5—41no—
397C23×D5C2411yescharacteristic
398C23×D5C2411yescharacteristic
399C23×D5C2411yescharacteristic
400C22×C4×C5C2411yescharacteristic
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
414C2×C22⋊D5—41no—
415C2×C22⋊D5—41no—
416C2×C22⋊D5—41no—
417C22×Dic5C2411yescharacteristic
418C22×Dic5C2411yescharacteristic
419C22×Dic5C2411yescharacteristic
420C22×Dic5C2411yescharacteristic
421C22×Dic5C2411yescharacteristic
422C22×Dic5C2411yescharacteristic
423C22×Dic5C2411yescharacteristic
424C22×Dic5C2411yescharacteristic
425C22×Dic5C2411yescharacteristic
426C22×Dic5C2411yescharacteristic
427C22×Dic5C2411yescharacteristic
428C22×Dic5C2411yescharacteristic
429C22×Dic5C2411yescharacteristic
430C2×D20—22no—
431C2×D20—22no—
432C2×D20—22no—
433C2×D20—41no—
434C2×D20—41no—
435C2×D20—41no—
436C2×C4×D5—22no—
437C2×C4×D5—22no—
438C2×C4×D5—22no—
439C2×C4×D5—22no—
440C2×C4×D5—22no—
441C2×C4×D5—22no—
442C2×C4×D5—22no—
443C2×C4×D5—22no—
444C2×C4×D5—41no—
445C2×C4×D5—41no—
446C2×C4×D5—41no—
447C2×C4×D5—41no—
448C2×C4×D5—41no—
449C2×C4×D5—41no—
450C2×C4×D5—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—22no—
461C5×C4⋊C4—22no—
462C5×C4⋊C4—22no—
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×C4⋊C4—41no—
470C5×C4⋊C4—41no—
471C5×C22⋊C4—22no—
472C5×C22⋊C4—22no—
473C5×C22⋊C4—41no—
474C5×C22⋊C4—41no—
475C5×C22⋊C4—41no—
476C5×C22⋊C4—41no—
477C5×C22⋊C4—41no—
478C42×C5—22no—
479C42×C5—41no—
480C42×C5—41no—
481C22⋊Dic5—22no—
482C22⋊Dic5—41no—
483C22⋊Dic5—41no—
484C22⋊Dic5—41no—
485C22⋊Dic5—41no—
486C22⋊Dic5—41no—
487#685—22no—
488#685—22no—
489#685—22no—
490#685—22no—
491#685—22no—
492#685—22no—
493#685—22no—
494#685—22no—
495#685—22no—
496#685—22no—
497#685—22no—
498#685—22no—
499#685—22no—
500#685—41no—
501#685—41no—
502#685—41no—
503#685—41no—
504#685—41no—
505#685—41no—
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—
516#685—41no—
517#685—41no—
518C4⋊Dic5—22no—
519C4⋊Dic5—22no—
520C4⋊Dic5—41no—
521C4⋊Dic5—41no—
522C4⋊Dic5—41no—
523C4⋊Dic5—41no—
524C4⋊Dic5—41no—
525C4⋊Dic5—41no—
526C4⋊Dic5—41no—
527C4⋊Dic5—41no—
528C4⋊Dic5—41no—
529C4⋊Dic5—41no—
530#683—22no—
531#683—22no—
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#399C2×D511yescharacteristic
582#398—51no—
583#398—51no—
584#398—51no—
585#398—51no—
586#398C2×D511yescharacteristic, complemented
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#397C2×D511yescharacteristic
597#397C2×D511yescharacteristic
598#396—51no—
599#396—51no—
600#396—51no—
601#396—51no—
602#396—51no—
603#396—51no—
604#396—51no—
605#396C2×D511yescharacteristic
606#395—51no—
607#394—51no—
608#394—51no—
609#394—51no—
610#394—51no—
611#394—51no—
612#394—51no—
613#394—51no—
614#394—51no—
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#389C2×D511yescharacteristic, complemented
630#389C2×D511yescharacteristic, complemented
631#389C2×D511yescharacteristic, complemented
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#388—51no—
653#388—51no—
654#388—51no—
655#388C2×D511yescharacteristic
656#388C2×D511yescharacteristic
657#388C2×D511yescharacteristic
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#384—51no—
694#383C2×D511yescharacteristic, complemented
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×C5C2511yescharacteristic
718C22×D5—21no—
719C22×D5—21no—
720C22×D5—21no—
721C22×D5—21no—
722C22×D5—21no—
723C22×D5—21no—
724C22×D5—21no—
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—
746C2×C4×C5—21no—
747C2×C4×C5—21no—
748C2×C4×C5—21no—
749C2×C4×C5—21no—
750C2×C4×C5—21no—
751C2×C4×C5—21no—
752C2×C4×C5—21no—
753C2×C4×C5—21no—
754C2×C4×C5—21no—
755C2×C4×C5—21no—
756C2×C4×C5—21no—
757C2×C4×C5—21no—
758C2×C4×C5—21no—
759C2×C4×C5—21no—
760C2×C4×C5—21no—
761C2×C4×C5—21no—
762C2×C4×C5—21no—
763C2×C4×C5—21no—
764C2×C4×C5—21no—
765C2×C4×C5—21no—
766C2×C4×C5—21no—
767C2×C4×C5—21no—
768C2×C4×C5—21no—
769C2×C4×C5—21no—
770C2×C4×C5—21no—
771C2×C4×C5—21no—
772C2×C4×C5—21no—
773C2×C4×C5—21no—
774C2×C4×C5—21no—
775C2×C4×C5—21no—
776C2×C4×C5—21no—
777C2×C4×C5—21no—
778C2×C4×C5—21no—
779C2×C4×C5—21no—
780C2×C4×C5—21no—
781C2×C4×C5—21no—
782C2×C4×C5—21no—
783C2×C4×C5—21no—
784C2×C4×C5—21no—
785C2×C4×C5—21no—
786C2×C4×C5C2×#4112yes—
787C2×C4×C5H(5,𝔽2)12yes—
788C22⋊D5—82no—
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×Dic5C2×#4112yes—
828D20—44no—
829D20—82no—
830C4×D5—28no—
831C4×D5—44no—
832C4×D5—44no—
833C4×D5—44no—
834C4×D5—82no—
835C4×D5—82no—
836C4×D5—82no—
837Dic10—82no—
838C25—51no—
839C22×Q8—51no—
840C22×D4—51no—
841C22×D4—51no—
842C22×D4—51no—
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—202no—
890C2×C4⋊C4C22×D511yescharacteristic
891C2×C4⋊C4C22×D511yescharacteristic
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—51no—
934C2×C22⋊C4—51no—
935C2×C22⋊C4—51no—
936C2×C22⋊C4—51no—
937C2×C22⋊C4—51no—
938C2×C22⋊C4—104no—
939C2×C22⋊C4—202no—
940C2×C22⋊C4—202no—
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#95C22×D511yescharacteristic
995#95C22×D511yescharacteristic
996#95C22×D511yescharacteristic
997#95C22×D511yescharacteristic
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×C5C22×#4111yescharacteristic
1016C22×C5C2×H(5,𝔽2)11yescharacteristic
1017C22×C5C2×H(5,𝔽2)11yescharacteristic
1018C22×C5C2×2−1+411yescharacteristic
1019C22×C5#58511yescharacteristic
1020C22×C5#58511yescharacteristic
1021C22×C5#58511yescharacteristic
1022C2×D5—22no—
1023C2×D5—22no—
1024C2×D5—22no—
1025C2×D5—22no—
1026C2×D5—22no—
1027C2×D5—22no—
1028C2×D5—41no—
1029C2×D5—41no—
1030C2×D5—41no—
1031C2×D5—41no—
1032C2×D5—41no—
1033C2×D5—41no—
1034C2×D5—41no—
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—22no—
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—
1057C4×C5—41no—
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—51no—
1074C24—102no—
1075C24—102no—
1076C24—102no—
1077C24—201no—
1078C24—201no—
1079C24—201no—
1080C24—201no—
1081C24C23×D511yescharacteristic
1082C2×Q8—201no—
1083C2×Q8—201no—
1084C2×Q8—201no—
1085C2×D4—102no—
1086C2×D4—102no—
1087C2×D4—102no—
1088C2×D4—201no—
1089C2×D4—201no—
1090C2×D4—201no—
1091C2×D4—201no—
1092C2×D4—201no—
1093C2×D4—201no—
1094C22×C4—51no—
1095C22×C4—54no—
1096C22×C4—51no—
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—102no—
1109C22×C4—102no—
1110C22×C4—102no—
1111C22×C4—102no—
1112C22×C4—102no—
1113C22×C4—102no—
1114C22×C4—102no—
1115C22×C4—102no—
1116C22×C4—201no—
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×C4C23×D511yescharacteristic
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—22no—
1143C4⋊C4—22no—
1144C4⋊C4—22no—
1145C4⋊C4—41no—
1146C4⋊C4—41no—
1147C4⋊C4—41no—
1148C4⋊C4—41no—
1149C4⋊C4—41no—
1150C4⋊C4—41no—
1151C4⋊C4—41no—
1152C4⋊C4—41no—
1153C4⋊C4—102no—
1154C4⋊C4—102no—
1155C4⋊C4—102no—
1156C4⋊C4—102no—
1157C4⋊C4—201no—
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—102no—
1190C22⋊C4—102no—
1191C22⋊C4—102no—
1192C22⋊C4—102no—
1193C22⋊C4—102no—
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—201no—
1204C22⋊C4—201no—
1205C22⋊C4—201no—
1206C22⋊C4—201no—
1207C22⋊C4—201no—
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×C5C2×#53911yescharacteristic
1239C2×C5#349311yescharacteristic
1240C2×C5#350611yescharacteristic
1241C2×C5#353511yescharacteristic
1242C2×C5#354211yescharacteristic
1243C2×C5#354511yescharacteristic
1244C2×C5#356411yescharacteristic
1245D5—24no—
1246D5—81no—
1247D5—81no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—52no—
1256C23—52no—
1257C23—52no—
1258C23—101no—
1259C23—101no—
1260C23—101no—
1261C23—101no—
1262C23—101no—
1263C23—101no—
1264C23—101no—
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—204no—
1286D4—402no—
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—21no—
1327C2×C4—21no—
1328C2×C4—52no—
1329C2×C4—108no—
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—204no—
1369C2×C4—204no—
1370C2×C4—204no—
1371C2×C4—402no—
1372C2×C4—402no—
1373C2×C4—402no—
1374C2×C4D5×#4112yes—
1375C2×C4#414912yes—
1376C5#3679611yescharacteristic, complemented, Sylow
1377C22—41no—
1378C22—41no—
1379C22—41no—
1380C22—41no—
1381C22—41no—
1382C22—41no—
1383C22—41no—
1384C22—54no—
1385C22—102no—
1386C22—102no—
1387C22—102no—
1388C22—102no—
1389C22—102no—
1390C22—102no—
1391C22—201no—
1392C22—201no—
1393C22—201no—
1394C22—201no—
1395C22—201no—
1396C22—201no—
1397C22—201no—
1398C22—201no—
1399C22—201no—
1400C22—201no—
1401C22—201no—
1402C22—201no—
1403C22—201no—
1404C22—201no—
1405C22—408no—
1406C22C2×D5×#4111yescharacteristic
1407C22C2×#414911yescharacteristic
1408C22#6628311yescharacteristic
1409C22D5×H(5,𝔽2)11yescharacteristic
1410C22#6628511yescharacteristic
1411C22D5×2−1+411yescharacteristic
1412C22#6628711yescharacteristic
1413C4—22no—
1414C4—22no—
1415C4—41no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
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—104no—
1442C2—401no—
1443C2—401no—
1444C2D5×#53911yescharacteristic
1445C2#1061839311yescharacteristic
1446C2#1061846611yescharacteristic
1447C2#1061874511yescharacteristic
1448C2#1061881111yescharacteristic
1449C2#1061890611yescharacteristic
1450C2#1061903811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2777C2
prime radicalC2×#4028C22
hypercenter#2777D5
hypocenterC5#36796
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2777

Complements

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

NH ≅ G/Ntype
1. C5×#2777C2semidirect
2. #10610075C2semidirect
3. #10610022C2semidirect
5. #10609801C2semidirect
6. #10609686C2semidirect
7. #10609633C2semidirect
8. #10609453C2semidirect
10. #10609407C2semidirect
11. #10609369C2semidirect
12. #10609155C2semidirect
13. #10609121C2semidirect
14. #10608016C2semidirect
15. #10608000C2semidirect
16. #10607927C2semidirect
17. #10607916C2semidirect
18. #10607880C2semidirect
19. #10607699C2semidirect
21. D5×#388C2semidirect
22. #10607528C2semidirect
23. #10607512C2semidirect
24. #10607435C2semidirect
25. #10607271C2semidirect
26. #10607071C2semidirect
27. #10607049C2semidirect
28. #10606997C2semidirect
29. #10606882C2semidirect
30. #10606048C2semidirect
31. #10606019C2semidirect
38. C2×#4036C22semidirect
44. C2×#4022C22semidirect
47. C5×#400C22semidirect
49. C5×#398C22semidirect
53. C5×#389C22semidirect
54. C5×#389C22semidirect
55. C5×#389C22semidirect
59. C5×#387C22semidirect
60. C5×#387C22semidirect
61. C5×#383C22semidirect
67. #65282C22semidirect
73. #65279C22semidirect
74. #65279C22semidirect
75. #65279C22semidirect
79. #65278C22semidirect
83. #65276C22semidirect
84. #65275C22semidirect
85. #65274C22semidirect
86. #65273C22semidirect
87. #65273C22semidirect
88. #65271C22semidirect
89. #65270C22semidirect
90. #65270C22semidirect
91. #65270C22semidirect
92. #65270C22semidirect
93. #65269C22semidirect
94. #65266C22semidirect
95. #65265C22semidirect
96. #65265C22semidirect
97. #65262C22semidirect
98. #65261C22semidirect
124. #65229C22semidirect
127. #65225C22semidirect
128. #65218C22semidirect
129. #65217C22semidirect
130. #65217C22semidirect
132. #64966C22semidirect
134. #64965C22semidirect
139. #64962C22semidirect
145. #64959C22semidirect
146. #64959C22semidirect
147. #64959C22semidirect
158. #64957C22semidirect
159. #64957C22semidirect
167. #64950C22semidirect
168. #64949C22semidirect
169. #64947C22semidirect
170. #64947C22semidirect
171. #64945C22semidirect
172. #64943C22semidirect
173. #64943C22semidirect
174. #64943C22semidirect
175. #64943C22semidirect
176. #64942C22semidirect
177. #64942C22semidirect
178. #64942C22semidirect
179. #64941C22semidirect
180. #64941C22semidirect
181. #64941C22semidirect
182. #64939C22semidirect
183. #64939C22semidirect
184. #64936C22semidirect
185. #64936C22semidirect
186. #64935C22semidirect
369. #2777D5semidirect
575. #400C2×D5semidirect
586. #398C2×D5semidirect
629. #389C2×D5semidirect
630. #389C2×D5semidirect
631. #389C2×D5semidirect
672. #387C2×D5semidirect
673. #387C2×D5semidirect
694. #383C2×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×#27772
#106100752
#106100222
#106098322
#106098012
#106096862
#106096332
#106094532
#106094162
#106094072
#106093692
#106091552
#106091212
#106080162
#106080002
#106079272
#106079162
#106078802
#106076992
#106075732
D5×#3882
#106075282
#106075122
#106074352
#106072712
#106070712
#106070492
#106069972
#106068822
#106060482
#106060192
#367965