Finite Group Databasebeta

← #12307209

Subgroups — #12307209

Order 1280.

1662 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2473C211yesmaximal, characteristic, complemented
2#10614784C211yesmaximal, characteristic, complemented
3#10614783C211yesmaximal, characteristic, complemented
4#10613905C211yesmaximal, characteristic, complemented
5C2×#65279C211yesmaximal, characteristic
6#10610036C211yesmaximal, characteristic, complemented
7#10610007C211yesmaximal, characteristic, complemented
8#10609633C211yesmaximal, characteristic, complemented
9#10609605C211yesmaximal, characteristic, complemented
10#10609597C211yesmaximal, characteristic, complemented
11#10609597C211yesmaximal, characteristic, complemented
12#10609594C211yesmaximal, characteristic, complemented
13#10609588C211yesmaximal, characteristic, complemented
14#10607901C211yesmaximal, characteristic, complemented
15#10607856C211yesmaximal, characteristic, complemented
16#10606971C211yesmaximal, characteristic, complemented
17#10606950C211yesmaximal, characteristic, complemented
18#10606915C211yesmaximal, characteristic, complemented
19#10606893C211yesmaximal, characteristic, complemented
20#10606352C211yesmaximal, characteristic
21#10606352C211yesmaximal, characteristic
22#10606317C211yesmaximal, characteristic, complemented
23#10606195C211yesmaximal, characteristic, complemented
24#10606194C211yesmaximal, characteristic, complemented
25#10606184C211yesmaximal, characteristic
26#10606183C211yesmaximal, characteristic
27#10606118C211yesmaximal, characteristic, complemented
28#10605732C211yesmaximal, characteristic, complemented
29#10605640C211yesmaximal, characteristic
30#10605327C211yesmaximal, characteristic
31#10605178C211yesmaximal, characteristic, complemented
32C2×C5×#125C2211yescharacteristic, complemented
33C22×C5×C4⋊C4C2211yescharacteristic
34C22×#685C2211yescharacteristic
35C22×#685C2211yescharacteristic
36C22×#685C2211yescharacteristic
37C22×C4×Dic5C2211yescharacteristic
38C2×#4044C2211yescharacteristic
39C2×#4044C2211yescharacteristic
40C2×#4044C2211yescharacteristic
41C2×#4035C2211yescharacteristic, complemented
42C2×#4035C2211yescharacteristic, complemented
43C2×#4034C2211yescharacteristic, complemented
44C2×#4024C2211yescharacteristic
45C2×#4024C2211yescharacteristic
46C2×#4022C2211yescharacteristic
47C5×#400C2211yescharacteristic, complemented
48C5×#398C2211yescharacteristic, complemented
49C5×#398C2211yescharacteristic, complemented
50C5×#398C2211yescharacteristic, complemented
51C5×#389C2211yescharacteristic, complemented
52C5×#387C2211yescharacteristic, complemented
53C5×#387C2211yescharacteristic, complemented
54C5×#385C2211yescharacteristic
55C5×#385C2211yescharacteristic
56C5×#385C2211yescharacteristic
57C5×#385C2211yescharacteristic
58C5×#380C2211yescharacteristic
59C4×C5×C22⋊C4C2211yescharacteristic
60#65501C2211yescharacteristic
61#65499C2211yescharacteristic
62#65499C2211yescharacteristic
63#65499C2211yescharacteristic
64#65499C2211yescharacteristic
65C4×C22⋊Dic5C2211yescharacteristic
66C2×#3963C2211yescharacteristic
67C2×#3963C2211yescharacteristic
68#65283C2211yescharacteristic
69#65283C2211yescharacteristic
70#65283C2211yescharacteristic
71#65283C2211yescharacteristic
72#65283C2211yescharacteristic
73#65283C2211yescharacteristic
74#65283C2211yescharacteristic
75#65282C2211yescharacteristic
76#65282C2211yescharacteristic
77#65282C2211yescharacteristic
78#65281C2211yescharacteristic
79#65281C2211yescharacteristic
80#65281C2211yescharacteristic
81#65281C2211yescharacteristic
82#65279C2211yescharacteristic
83#65279C2211yescharacteristic
84#65279C2211yescharacteristic
85#65279C2211yescharacteristic
86#65279C2211yescharacteristic
87#65279C2211yescharacteristic
88#65279C2211yescharacteristic
89#65279C2211yescharacteristic
90#65279C2211yescharacteristic
91#65279C2211yescharacteristic
92#65279C2211yescharacteristic
93#65275C2211yescharacteristic, complemented
94#65274C2211yescharacteristic, complemented
95#65273C2211yescharacteristic, complemented
96#65273C2211yescharacteristic, complemented
97#65272C2211yescharacteristic, complemented
98#65271C2211yescharacteristic, complemented
99#65271C2211yescharacteristic, complemented
100#65270C2211yescharacteristic, complemented
101#65270C2211yescharacteristic, complemented
102#65269C2211yescharacteristic, complemented
103#65269C2211yescharacteristic, complemented
104#65267C2211yescharacteristic, complemented
105#65267C2211yescharacteristic, complemented
106#65267C2211yescharacteristic, complemented
107#65267C2211yescharacteristic, complemented
108#65266C2211yescharacteristic, complemented
109#65265C2211yescharacteristic, complemented
110#65263C2211yescharacteristic, complemented
111#65262C2211yescharacteristic, complemented
112#65262C2211yescharacteristic, complemented
113#65262C2211yescharacteristic, complemented
114#65261C2211yescharacteristic, complemented
115#65261C2211yescharacteristic, complemented
116#65261C2211yescharacteristic, complemented
117#65261C2211yescharacteristic, complemented
118#65244C2211yescharacteristic
119#65244C2211yescharacteristic
120#65244C2211yescharacteristic
121#65244C2211yescharacteristic
122#65239C2211yescharacteristic
123#65239C2211yescharacteristic
124#65235C2211yescharacteristic
125#65235C2211yescharacteristic
126#65231C2211yescharacteristic
127#65231C2211yescharacteristic
128#65231C2211yescharacteristic
129#65231C2211yescharacteristic
130C22⋊C4×Dic5C2211yescharacteristic
131C22⋊C4×Dic5C2211yescharacteristic
132#65229C2211yescharacteristic
133#65229C2211yescharacteristic
134#65229C2211yescharacteristic
135#65222C2211yescharacteristic, complemented
136#65222C2211yescharacteristic, complemented
137#65218C2211yescharacteristic, complemented
138#65217C2211yescharacteristic, complemented
139#64965C2211yescharacteristic
140#64965C2211yescharacteristic
141#64965C2211yescharacteristic
142#64965C2211yescharacteristic
143#64965C2211yescharacteristic
144#64964C2211yescharacteristic
145#64964C2211yescharacteristic
146#64964C2211yescharacteristic
147#64964C2211yescharacteristic
148#64964C2211yescharacteristic
149#64964C2211yescharacteristic
150#64963C2211yescharacteristic
151#64963C2211yescharacteristic
152#64963C2211yescharacteristic
153#64962C2211yescharacteristic
154#64962C2211yescharacteristic
155#64962C2211yescharacteristic
156#64962C2211yescharacteristic
157#64959C2211yescharacteristic
158#64959C2211yescharacteristic
159#64959C2211yescharacteristic
160#64958C2211yescharacteristic
161#64958C2211yescharacteristic
162#64958C2211yescharacteristic
163#64949C2211yescharacteristic, complemented
164#64949C2211yescharacteristic, complemented
165#64947C2211yescharacteristic, complemented
166#64947C2211yescharacteristic, complemented
167#64944C2211yescharacteristic, complemented
168#64944C2211yescharacteristic, complemented
169#64943C2211yescharacteristic, complemented
170#64943C2211yescharacteristic, complemented
171#64942C2211yescharacteristic, complemented
172#64942C2211yescharacteristic, complemented
173#64941C2211yescharacteristic, complemented
174#64941C2211yescharacteristic, complemented
175#64941C2211yescharacteristic, complemented
176#64941C2211yescharacteristic, complemented
177#64939C2211yescharacteristic, complemented
178#64939C2211yescharacteristic, complemented
179#64936C2211yescharacteristic, complemented
180#64936C2211yescharacteristic, complemented
181#64936C2211yescharacteristic, complemented
182#64936C2211yescharacteristic, complemented
183#64935C2211yescharacteristic, complemented
184#64935C2211yescharacteristic, complemented
185#64935C2211yescharacteristic, complemented
186#64935C2211yescharacteristic, complemented
187#36760—51nomaximal, Sylow
188C24×D5C2311yescharacteristic
189C23×C4×C5C2311yescharacteristic
190C23×C4×C5C2311yescharacteristic
191C23×C4×C5C2311yescharacteristic
192C23×Dic5C2311yescharacteristic
193C23×Dic5C2311yescharacteristic
194C23×Dic5C2311yescharacteristic
195C22×Dic10C2311yescharacteristic
196C22×Dic10C2311yescharacteristic
197C5×#125—42no—
198C2×C5×C4⋊C4—42no—
199C2×C5×C4⋊C4C2311yescharacteristic
200C2×C5×C4⋊C4C2311yescharacteristic
201C2×C5×C4⋊C4C2311yescharacteristic
202C2×C5×C4⋊C4C2311yescharacteristic
203C2×C5×C4⋊C4C2311yescharacteristic
204C2×C5×C4⋊C4C2311yescharacteristic
205C2×C5×C4⋊C4C2311yescharacteristic
206C2×C5×C4⋊C4C2311yescharacteristic
207C2×C5×C4⋊C4C2311yescharacteristic
208C2×C5×C4⋊C4C2311yescharacteristic
209C2×C5×C4⋊C4C2311yescharacteristic
210C2×C5×C4⋊C4C2311yescharacteristic
211C2×C5×C4⋊C4C2311yescharacteristic
212C2×C5×C4⋊C4C2311yescharacteristic
213C2×C5×C22⋊C4C2311yescharacteristic
214C2×C5×C22⋊C4C2311yescharacteristic
215C2×C5×C22⋊C4C2311yescharacteristic
216C2×C5×C22⋊C4C2311yescharacteristic
217C2×C42×C5C2311yescharacteristic
218C2×C42×C5C2311yescharacteristic
219C2×C22⋊Dic5C2311yescharacteristic
220C2×C22⋊Dic5C2311yescharacteristic
221C2×C22⋊Dic5C2311yescharacteristic
222C2×C22⋊Dic5C2311yescharacteristic
223C2×#685—24no—
224C2×#685—42no—
225C2×#685—42no—
226C2×#685C2311yescharacteristic
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×C4⋊Dic5C2311yescharacteristic
255C2×C4⋊Dic5C2311yescharacteristic
256C2×C4⋊Dic5C2311yescharacteristic
257C2×C4⋊Dic5C2311yescharacteristic
258C2×C4⋊Dic5C2311yescharacteristic
259C2×C4⋊Dic5C2311yescharacteristic
260C2×C4⋊Dic5C2311yescharacteristic
261C2×C4⋊Dic5C2311yescharacteristic
262C2×#683C2311yescharacteristic
263C2×#683C2311yescharacteristic
264C2×#683C2311yescharacteristic
265C2×#683C2311yescharacteristic
266C2×#683C2311yescharacteristic
267C2×#683C2311yescharacteristic
268C2×#683C2311yescharacteristic
269C2×#683C2311yescharacteristic
270C2×#683C2311yescharacteristic
271C2×#683C2311yescharacteristic
272C2×#683C2311yescharacteristic
273C2×#683C2311yescharacteristic
274C2×#683C2311yescharacteristic
275C2×#683C2311yescharacteristic
276C2×#683C2311yescharacteristic
277C2×#683C2311yescharacteristic
278C2×#683C2311yescharacteristic
279C2×#683C2311yescharacteristic
280C2×#683C2311yescharacteristic
281C2×#683C2311yescharacteristic
282C2×#683C2311yescharacteristic
283C2×#683C2311yescharacteristic
284C2×#683C2311yescharacteristic
285C2×#683C2311yescharacteristic
286C2×C4×Dic5—42no—
287C2×C4×Dic5C2311yescharacteristic
288C2×C4×Dic5C2311yescharacteristic
289C2×C4×Dic5C2311yescharacteristic
290C2×C4×Dic5C2311yescharacteristic
291C2×C4×Dic5C2311yescharacteristic
292C2×C4×Dic5C2311yescharacteristic
293C2×C4×Dic5C2311yescharacteristic
294C2×C4×Dic5C2311yescharacteristic
295C2×C4×Dic5C2311yescharacteristic
296C2×C4×Dic5C2311yescharacteristic
297#4044—42no—
298#4044—42no—
299#4044—42no—
300#4035—42no—
301#4035—42no—
302#4034—42no—
303#4024—24no—
304#4024—24no—
305#4022—42no—
306C5×#95C2311yescharacteristic
307C5×#95C2311yescharacteristic
308C5×#95C2311yescharacteristic
309C5×#95C2311yescharacteristic
310C5×#95C2311yescharacteristic
311C5×#95C2311yescharacteristic
312C5×#95C2311yescharacteristic
313C5×#95C2311yescharacteristic
314C5×#95C2311yescharacteristic
315C5×#95C2311yescharacteristic
316C5×#95C2311yescharacteristic
317C5×#95C2311yescharacteristic
318#3963C2311yescharacteristic
319#3963C2311yescharacteristic
320#3963C2311yescharacteristic
321#3963C2311yescharacteristic
322#3963C2311yescharacteristic
323#3963C2311yescharacteristic
324#3963C2311yescharacteristic
325#3963C2311yescharacteristic
326#3963C2311yescharacteristic
327#3963C2311yescharacteristic
328#3963C2311yescharacteristic
329#3963C2311yescharacteristic
330#3963C2311yescharacteristic
331#3963C2311yescharacteristic
332#3963C2311yescharacteristic
333#3963C2311yescharacteristic
334#3963C2311yescharacteristic
335#3963C2311yescharacteristic
336#3963C2311yescharacteristic
337#3963C2311yescharacteristic
338#3963C2311yescharacteristic
339#3963C2311yescharacteristic
340#3963C2311yescharacteristic
341#3963C2311yescharacteristic
342#3963C2311yescharacteristic
343#3963C2311yescharacteristic
344#3963C2311yescharacteristic
345#3963C2311yescharacteristic
346#3963C2311yescharacteristic
347#3963C2311yescharacteristic
348#3963C2311yescharacteristic
349#3963C2311yescharacteristic
350#3963C2311yescharacteristic
351#3963C2311yescharacteristic
352#3963C2311yescharacteristic
353#3963C2311yescharacteristic
354#3963C2311yescharacteristic
355#3963C2311yescharacteristic
356#3963C2311yescharacteristic
357#3963C2311yescharacteristic
358#2857—51no—
359#2851—51no—
360#2798—51no—
361#2798—51no—
362#2783—51no—
363#2783—51no—
364#2772—51no—
365#2772—51no—
366#2754—51no—
367#2754—51no—
368#2725—51no—
369#2725—51no—
370#2725—51no—
371#2725—51no—
372#2721—51no—
373#2721—51no—
374#2716—51no—
375#2716—51no—
376#2626—51no—
377#2626—51no—
378#2505—51no—
379#2505—51no—
380#2480—51no—
381#2480—51no—
382#2480—51no—
383#2480—51no—
384#2473—51no—
385#2473D511yescharacteristic, complemented
386#2329—51no—
387#2329—51no—
388C2×#388—51no—
389C24×C5C2411yescharacteristic
390C23×D5—22no—
391C23×D5—22no—
392C23×D5—22no—
393C23×D5—41no—
394C23×D5—41no—
395C23×D5—41no—
396C23×D5—41no—
397C23×D5C2411yescharacteristic
398C23×D5C2411yescharacteristic
399C22×C4×C5—22no—
400C22×C4×C5—22no—
401C22×C4×C5—22no—
402C22×C4×C5—22no—
403C22×C4×C5—41no—
404C22×C4×C5—41no—
405C22×C4×C5—41no—
406C22×C4×C5—41no—
407C22×C4×C5—41no—
408C22×C4×C5C2411yescharacteristic
409C22×C4×C5C2411yescharacteristic
410C22×C4×C5C2411yescharacteristic
411C22×C4×C5C2411yescharacteristic
412C22×C4×C5C2411yescharacteristic
413C22×C4×C5C2411yescharacteristic
414C22×C4×C5C2411yescharacteristic
415C22×C4×C5C2411yescharacteristic
416C22×C4×C5C2411yescharacteristic
417C22×C4×C5C2411yescharacteristic
418C22×C4×C5C2411yescharacteristic
419C22×C4×C5C2411yescharacteristic
420C22×C4×C5C2411yescharacteristic
421C22×C4×C5C2411yescharacteristic
422C22×Dic5—22no—
423C22×Dic5—22no—
424C22×Dic5—22no—
425C22×Dic5—41no—
426C22×Dic5—41no—
427C22×Dic5—41no—
428C22×Dic5—41no—
429C22×Dic5—41no—
430C22×Dic5#4114yes—
431C22×Dic5C2411yescharacteristic
432C22×Dic5C2411yescharacteristic
433C22×Dic5C2411yescharacteristic
434C22×Dic5C2411yescharacteristic
435C22×Dic5C2411yescharacteristic
436C22×Dic5C2411yescharacteristic
437C22×Dic5C2411yescharacteristic
438C22×Dic5C2411yescharacteristic
439C22×Dic5C2411yescharacteristic
440C22×Dic5C2411yescharacteristic
441C22×Dic5C2411yescharacteristic
442C22×Dic5C2411yescharacteristic
443C22×Dic5C2411yescharacteristic
444C22×Dic5C2411yescharacteristic
445C2×Dic10—22no—
446C2×Dic10—22no—
447C2×Dic10—41no—
448C2×Dic10—41no—
449C2×Dic10—41no—
450C2×Dic10—41no—
451C5×C4⋊C4—22no—
452C5×C4⋊C4—22no—
453C5×C4⋊C4—22no—
454C5×C4⋊C4—22no—
455C5×C4⋊C4—41no—
456C5×C4⋊C4—41no—
457C5×C4⋊C4—41no—
458C5×C4⋊C4—41no—
459C5×C4⋊C4—41no—
460C5×C4⋊C4—41no—
461C5×C4⋊C4—41no—
462C5×C4⋊C4—41no—
463C5×C4⋊C4—41no—
464C5×C4⋊C4—41no—
465C5×C22⋊C4—22no—
466C5×C22⋊C4—22no—
467C5×C22⋊C4—22no—
468C5×C22⋊C4—22no—
469C42×C5—41no—
470C42×C5—41no—
471C22⋊Dic5—22no—
472C22⋊Dic5—22no—
473C22⋊Dic5—22no—
474C22⋊Dic5—22no—
475#685—22no—
476#685—22no—
477#685—22no—
478#685—22no—
479#685—22no—
480#685—22no—
481#685—22no—
482#685—22no—
483#685—41no—
484#685—41no—
485#685—41no—
486#685—41no—
487#685—41no—
488#685—41no—
489#685—41no—
490#685—41no—
491#685—41no—
492#685—41no—
493#685—41no—
494#685—41no—
495#685—41no—
496#685—41no—
497#685—41no—
498#685—41no—
499#685—41no—
500#685—41no—
501#685—41no—
502#685—41no—
503C4⋊Dic5—22no—
504C4⋊Dic5—22no—
505C4⋊Dic5—22no—
506C4⋊Dic5—22no—
507C4⋊Dic5—41no—
508C4⋊Dic5—41no—
509C4⋊Dic5—41no—
510C4⋊Dic5—41no—
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—41no—
520#683—41no—
521#683—41no—
522#683—41no—
523#683—41no—
524#683—41no—
525#683—41no—
526#683—41no—
527#683—41no—
528#683—41no—
529#683—41no—
530#683—41no—
531#683—41no—
532#683—41no—
533#683—41no—
534#683—41no—
535C4×Dic5—22no—
536C4×Dic5—22no—
537C4×Dic5—41no—
538C4×Dic5—41no—
539C4×Dic5—41no—
540C4×Dic5—41no—
541C4×Dic5—41no—
542C4×Dic5—41no—
543C4×Dic5—41no—
544C4×Dic5—41no—
545C2×C4⋊Q8—51no—
546C2×#126—51no—
547C2×#126—51no—
548C2×#126—51no—
549C2×#126—51no—
550C2×#125—51no—
551C2×#125—51no—
552C2×#125C2×D511yescharacteristic, complemented
553C2×C22⋊Q8—51no—
554C2×C22⋊Q8—51no—
555C22×C4⋊C4C2×D511yescharacteristic
556C22×C22⋊C4—51no—
557C22×C22⋊C4—51no—
558C22×C22⋊C4—51no—
559C22×C42—51no—
560#400—51no—
561#400—51no—
562#400—51no—
563#400—51no—
564#400—51no—
565#400—51no—
566#400—51no—
567#400C2×D511yescharacteristic, complemented
568#399—51no—
569#399—51no—
570#399—51no—
571#399—51no—
572#398—51no—
573#398—51no—
574#398—51no—
575#398—51no—
576#398—51no—
577#398C2×D511yescharacteristic, complemented
578#398C2×D511yescharacteristic, complemented
579#398C2×D511yescharacteristic, complemented
580#397—51no—
581#397—51no—
582#397—51no—
583#397—51no—
584#397—51no—
585#397—51no—
586#397—51no—
587#397—51no—
588#397—51no—
589#397—51no—
590#397—51no—
591#397—51no—
592#396—51no—
593#396—51no—
594#396—51no—
595#396—51no—
596#396—51no—
597#396—51no—
598#396—51no—
599#396—51no—
600#396—51no—
601#396—51no—
602#396—51no—
603#396—51no—
604#393—51no—
605#393—51no—
606#393—51no—
607#393—51no—
608#391—51no—
609#391—51no—
610#391—51no—
611#391—51no—
612#391—51no—
613#391—51no—
614#389—51no—
615#389—51no—
616#389—51no—
617#389—51no—
618#389—51no—
619#389—51no—
620#389—51no—
621#389—51no—
622#389—51no—
623#389—51no—
624#389—51no—
625#389—51no—
626#389—51no—
627#389C2×D511yescharacteristic, complemented
628#388—51no—
629#388—51no—
630#388—51no—
631#388—51no—
632#388—51no—
633#388—51no—
634#388—51no—
635#388—51no—
636#388—51no—
637#388—51no—
638#388—51no—
639#388—51no—
640#388—51no—
641#388—51no—
642#388—51no—
643#388—51no—
644#388—51no—
645#388—51no—
646#388—51no—
647#388—51no—
648#387—51no—
649#387—51no—
650#387—51no—
651#387—51no—
652#387—51no—
653#387—51no—
654#387—51no—
655#387—51no—
656#387—51no—
657#387—51no—
658#387—51no—
659#387—51no—
660#387—51no—
661#387—51no—
662#387—51no—
663#387—51no—
664#387—51no—
665#387—51no—
666#387C2×D511yescharacteristic, complemented
667#387C2×D511yescharacteristic, complemented
668#385—51no—
669#385—51no—
670#385—51no—
671#385—51no—
672#385—51no—
673#385—51no—
674#385—51no—
675#385—51no—
676#385C2×D511yescharacteristic
677#385C2×D511yescharacteristic
678#385C2×D511yescharacteristic
679#385C2×D511yescharacteristic
680#384—51no—
681#382—51no—
682#382—51no—
683#382—51no—
684#380—51no—
685#380—51no—
686#380—51no—
687#380—51no—
688#380—51no—
689#380C2×D511yescharacteristic
690#379—51no—
691#379—51no—
692#379—51no—
693#379—51no—
694C4×C22⋊C4—51no—
695C4×C22⋊C4—51no—
696C4×C22⋊C4—51no—
697C4×C22⋊C4C2×D511yescharacteristic
698C2×#95—51no—
699C2×#95—51no—
700C23×C5—21no—
701C23×C5—21no—
702C23×C5—21no—
703C23×C5—21no—
704C23×C5C2×#4112yes—
705C23×C52−1+412yes—
706C23×C52−1+412yes—
707C23×C5C2511yescharacteristic
708C22×D5—21no—
709C22×D5—21no—
710C22×D5—21no—
711C22×D5—21no—
712C22×D5—21no—
713C22×D5—21no—
714C22×D5—21no—
715C22×D5—21no—
716C22×D5—21no—
717C22×D5—21no—
718C22×D5—21no—
719C22×D5—21no—
720C22×D5—21no—
721C22×D5—21no—
722C22×D5—44no—
723C22×D5—44no—
724C22×D5—44no—
725C22×D5—82no—
726C22×D5—82no—
727C22×D5—82no—
728C22×D5—82no—
729C2×C4×C5—21no—
730C2×C4×C5—21no—
731C2×C4×C5—21no—
732C2×C4×C5—21no—
733C2×C4×C5—21no—
734C2×C4×C5—21no—
735C2×C4×C5—21no—
736C2×C4×C5—21no—
737C2×C4×C5—21no—
738C2×C4×C5—21no—
739C2×C4×C5—21no—
740C2×C4×C5—21no—
741C2×C4×C5—21no—
742C2×C4×C5—21no—
743C2×C4×C5—21no—
744C2×C4×C5—21no—
745C2×C4×C5—21no—
746C2×C4×C5—21no—
747C2×C4×C5—21no—
748C2×C4×C5—21no—
749C2×C4×C5—21no—
750C2×C4×C5—21no—
751C2×C4×C5—21no—
752C2×C4×C5—21no—
753C2×C4×C5—21no—
754C2×C4×C5—21no—
755C2×C4×C5—21no—
756C2×C4×C5—21no—
757C2×C4×C5—21no—
758C2×C4×C5—21no—
759C2×C4×C5—21no—
760C2×C4×C5—21no—
761C2×C4×C5—21no—
762C2×C4×C5—21no—
763C2×C4×C5—21no—
764C2×C4×C5—21no—
765C2×C4×C5—21no—
766C2×C4×C5—21no—
767C2×C4×C5—21no—
768C2×C4×C5—21no—
769C2×C4×C5—21no—
770C2×C4×C5—44no—
771C2×C4×C5—44no—
772C2×C4×C5—82no—
773C2×C4×C5H(5,𝔽2)12yes—
774C2×Dic5—21no—
775C2×Dic5—21no—
776C2×Dic5—21no—
777C2×Dic5—21no—
778C2×Dic5—21no—
779C2×Dic5—21no—
780C2×Dic5—21no—
781C2×Dic5—21no—
782C2×Dic5—21no—
783C2×Dic5—21no—
784C2×Dic5—21no—
785C2×Dic5—21no—
786C2×Dic5—21no—
787C2×Dic5—21no—
788C2×Dic5—21no—
789C2×Dic5—21no—
790C2×Dic5—21no—
791C2×Dic5—21no—
792C2×Dic5—21no—
793C2×Dic5—21no—
794C2×Dic5—21no—
795C2×Dic5—21no—
796C2×Dic5—21no—
797C2×Dic5—21no—
798C2×Dic5—21no—
799C2×Dic5—21no—
800C2×Dic5—21no—
801C2×Dic5—21no—
802C2×Dic5—21no—
803C2×Dic5—21no—
804C2×Dic5—21no—
805C2×Dic5—21no—
806C2×Dic5—21no—
807C2×Dic5—21no—
808C2×Dic5—21no—
809C2×Dic5—21no—
810C2×Dic5—21no—
811C2×Dic5—21no—
812C2×Dic5—21no—
813C2×Dic5—44no—
814C2×Dic5—44no—
815C2×Dic5—82no—
816C2×Dic5C2×#4112yes—
817C2×Dic5C2×#4112yes—
818C2×Dic5H(5,𝔽2)12yes—
819Dic10—82no—
820Dic10—82no—
821C25—51no—
822C22×Q8—51no—
823C22×Q8—51no—
824C23×C4—51no—
825C23×C4—51no—
826C23×C4—51no—
827C23×C4C22×D511yescharacteristic
828C23×C4C22×D511yescharacteristic
829C23×C4C22×D511yescharacteristic
830C4⋊Q8—202no—
831#126—202no—
832#126—202no—
833#126—202no—
834#126—202no—
835#125—42no—
836#125—202no—
837#125—202no—
838C22⋊Q8—104no—
839C22⋊Q8—104no—
840C2×C4⋊C4—42no—
841C2×C4⋊C4—51no—
842C2×C4⋊C4—51no—
843C2×C4⋊C4—51no—
844C2×C4⋊C4—51no—
845C2×C4⋊C4—51no—
846C2×C4⋊C4—51no—
847C2×C4⋊C4—51no—
848C2×C4⋊C4—51no—
849C2×C4⋊C4—51no—
850C2×C4⋊C4—51no—
851C2×C4⋊C4—51no—
852C2×C4⋊C4—51no—
853C2×C4⋊C4—51no—
854C2×C4⋊C4—51no—
855C2×C4⋊C4—51no—
856C2×C4⋊C4—51no—
857C2×C4⋊C4—51no—
858C2×C4⋊C4—51no—
859C2×C4⋊C4—51no—
860C2×C4⋊C4—51no—
861C2×C4⋊C4—51no—
862C2×C4⋊C4—51no—
863C2×C4⋊C4—51no—
864C2×C4⋊C4—51no—
865C2×C4⋊C4—51no—
866C2×C4⋊C4—51no—
867C2×C4⋊C4—51no—
868C2×C4⋊C4—51no—
869C2×C4⋊C4—51no—
870C2×C4⋊C4—51no—
871C2×C4⋊C4—51no—
872C2×C4⋊C4—51no—
873C2×C4⋊C4C22×D511yescharacteristic
874C2×C4⋊C4C22×D511yescharacteristic
875C2×C4⋊C4C22×D511yescharacteristic
876C2×C4⋊C4C22×D511yescharacteristic
877C2×C4⋊C4C22×D511yescharacteristic
878C2×C4⋊C4C22×D511yescharacteristic
879C2×C4⋊C4C22×D511yescharacteristic
880C2×C4⋊C4C22×D511yescharacteristic
881C2×C4⋊C4C22×D511yescharacteristic
882C2×C4⋊C4C22×D511yescharacteristic
883C2×C4⋊C4C22×D511yescharacteristic
884C2×C4⋊C4C22×D511yescharacteristic
885C2×C4⋊C4C22×D511yescharacteristic
886C2×C4⋊C4C22×D511yescharacteristic
887C2×C22⋊C4—51no—
888C2×C22⋊C4—51no—
889C2×C22⋊C4—51no—
890C2×C22⋊C4—51no—
891C2×C22⋊C4—51no—
892C2×C22⋊C4—51no—
893C2×C22⋊C4—51no—
894C2×C22⋊C4—51no—
895C2×C22⋊C4—51no—
896C2×C22⋊C4—51no—
897C2×C22⋊C4—51no—
898C2×C22⋊C4—51no—
899C2×C22⋊C4—51no—
900C2×C22⋊C4—51no—
901C2×C22⋊C4—51no—
902C2×C22⋊C4—51no—
903C2×C22⋊C4—51no—
904C2×C22⋊C4—51no—
905C2×C22⋊C4—51no—
906C2×C22⋊C4—51no—
907C2×C22⋊C4—51no—
908C2×C22⋊C4—51no—
909C2×C22⋊C4—51no—
910C2×C22⋊C4—51no—
911C2×C22⋊C4—51no—
912C2×C22⋊C4—51no—
913C2×C22⋊C4—51no—
914C2×C22⋊C4—51no—
915C2×C22⋊C4—51no—
916C2×C22⋊C4—51no—
917C2×C22⋊C4—51no—
918C2×C22⋊C4—51no—
919C2×C22⋊C4—104no—
920C2×C22⋊C4—202no—
921C2×C22⋊C4—202no—
922C2×C22⋊C4C22×D511yescharacteristic
923C2×C22⋊C4C22×D511yescharacteristic
924C2×C22⋊C4C22×D511yescharacteristic
925C2×C22⋊C4C22×D511yescharacteristic
926C2×C42—51no—
927C2×C42—51no—
928C2×C42—51no—
929C2×C42—51no—
930C2×C42—51no—
931C2×C42—51no—
932C2×C42—51no—
933C2×C42—51no—
934C2×C42—51no—
935C2×C42—51no—
936C2×C42—202no—
937C2×C42C22×D511yescharacteristic
938C2×C42C22×D511yescharacteristic
939#95—51no—
940#95—51no—
941#95—51no—
942#95—51no—
943#95—51no—
944#95—51no—
945#95—51no—
946#95—51no—
947#95—51no—
948#95—51no—
949#95—51no—
950#95—51no—
951#95—51no—
952#95—51no—
953#95—51no—
954#95—51no—
955#95—51no—
956#95—51no—
957#95—51no—
958#95—51no—
959#95—51no—
960#95—51no—
961#95—51no—
962#95—51no—
963#95—51no—
964#95—51no—
965#95—51no—
966#95—51no—
967#95—51no—
968#95—51no—
969#95—51no—
970#95—51no—
971#95—51no—
972#95—51no—
973#95—51no—
974#95—51no—
975#95—51no—
976#95—51no—
977#95—51no—
978#95—51no—
979#95C22×D511yescharacteristic
980#95C22×D511yescharacteristic
981#95C22×D511yescharacteristic
982#95C22×D511yescharacteristic
983#95C22×D511yescharacteristic
984#95C22×D511yescharacteristic
985#95C22×D511yescharacteristic
986#95C22×D511yescharacteristic
987#95C22×D511yescharacteristic
988#95C22×D511yescharacteristic
989#95C22×D511yescharacteristic
990#95C22×D511yescharacteristic
991C22×C5—22no—
992C22×C5—22no—
993C22×C5—22no—
994C22×C5—22no—
995C22×C5—22no—
996C22×C5—22no—
997C22×C5#54114yes—
998C22×C5C22×#4111yescharacteristic
999C22×C5C2×H(5,𝔽2)11yescharacteristic
1000C22×C5C2×H(5,𝔽2)11yescharacteristic
1001C22×C5C2×2−1+411yescharacteristic
1002C22×C5C2×2−1+411yescharacteristic
1003C22×C5#58511yescharacteristic
1004C22×C5#58511yescharacteristic
1005C2×D5—41no—
1006C2×D5—41no—
1007C2×D5—41no—
1008C2×D5—41no—
1009C2×D5—41no—
1010C2×D5—41no—
1011C2×D5—41no—
1012C2×D5—41no—
1013C2×D5—41no—
1014C2×D5—41no—
1015C2×D5—41no—
1016C2×D5—41no—
1017C2×D5—41no—
1018C2×D5—41no—
1019C2×D5—88no—
1020C4×C5—22no—
1021C4×C5—41no—
1022C4×C5—41no—
1023C4×C5—41no—
1024C4×C5—41no—
1025C4×C5—41no—
1026C4×C5—41no—
1027C4×C5—41no—
1028C4×C5—41no—
1029C4×C5—41no—
1030C4×C5—41no—
1031C4×C5—41no—
1032C4×C5—41no—
1033C4×C5—41no—
1034Dic5—22no—
1035Dic5—22no—
1036Dic5—22no—
1037Dic5—41no—
1038Dic5—41no—
1039Dic5—41no—
1040Dic5—41no—
1041Dic5—41no—
1042Dic5—41no—
1043Dic5—41no—
1044Dic5—41no—
1045Dic5—41no—
1046Dic5—41no—
1047Dic5—41no—
1048C24—51no—
1049C24—51no—
1050C24—102no—
1051C24—102no—
1052C24—102no—
1053C24—201no—
1054C24—201no—
1055C24—201no—
1056C24—201no—
1057C24C23×D511yescharacteristic
1058C2×Q8—102no—
1059C2×Q8—102no—
1060C2×Q8—201no—
1061C2×Q8—201no—
1062C2×Q8—201no—
1063C2×Q8—201no—
1064C22×C4—22no—
1065C22×C4—22no—
1066C22×C4—22no—
1067C22×C4—22no—
1068C22×C4—41no—
1069C22×C4—41no—
1070C22×C4—41no—
1071C22×C4—41no—
1072C22×C4—41no—
1073C22×C4—51no—
1074C22×C4—51no—
1075C22×C4—51no—
1076C22×C4—54no—
1077C22×C4—51no—
1078C22×C4—51no—
1079C22×C4—51no—
1080C22×C4—51no—
1081C22×C4—51no—
1082C22×C4—51no—
1083C22×C4—51no—
1084C22×C4—51no—
1085C22×C4—51no—
1086C22×C4—51no—
1087C22×C4—51no—
1088C22×C4—102no—
1089C22×C4—102no—
1090C22×C4—102no—
1091C22×C4—201no—
1092C22×C4—201no—
1093C22×C4—201no—
1094C22×C4—201no—
1095C22×C4—201no—
1096C22×C4C23×D511yescharacteristic
1097C22×C4C23×D511yescharacteristic
1098C22×C4C23×D511yescharacteristic
1099C22×C4C23×D511yescharacteristic
1100C22×C4C23×D511yescharacteristic
1101C22×C4C23×D511yescharacteristic
1102C22×C4C23×D511yescharacteristic
1103C22×C4C23×D511yescharacteristic
1104C22×C4C23×D511yescharacteristic
1105C22×C4C23×D511yescharacteristic
1106C22×C4C23×D511yescharacteristic
1107C22×C4C23×D511yescharacteristic
1108C22×C4C23×D511yescharacteristic
1109C22×C4C23×D511yescharacteristic
1110C4⋊C4—22no—
1111C4⋊C4—22no—
1112C4⋊C4—22no—
1113C4⋊C4—22no—
1114C4⋊C4—41no—
1115C4⋊C4—41no—
1116C4⋊C4—41no—
1117C4⋊C4—41no—
1118C4⋊C4—41no—
1119C4⋊C4—41no—
1120C4⋊C4—41no—
1121C4⋊C4—41no—
1122C4⋊C4—41no—
1123C4⋊C4—41no—
1124C4⋊C4—102no—
1125C4⋊C4—102no—
1126C4⋊C4—102no—
1127C4⋊C4—102no—
1128C4⋊C4—102no—
1129C4⋊C4—102no—
1130C4⋊C4—102no—
1131C4⋊C4—102no—
1132C4⋊C4—102no—
1133C4⋊C4—102no—
1134C4⋊C4—102no—
1135C4⋊C4—102no—
1136C4⋊C4—201no—
1137C4⋊C4—201no—
1138C4⋊C4—201no—
1139C4⋊C4—201no—
1140C4⋊C4—201no—
1141C4⋊C4—201no—
1142C4⋊C4—201no—
1143C4⋊C4—201no—
1144C4⋊C4—201no—
1145C4⋊C4—201no—
1146C4⋊C4—201no—
1147C4⋊C4—201no—
1148C4⋊C4—201no—
1149C4⋊C4—201no—
1150C4⋊C4—201no—
1151C4⋊C4—201no—
1152C4⋊C4—201no—
1153C4⋊C4—201no—
1154C4⋊C4—201no—
1155C4⋊C4—201no—
1156C22⋊C4—22no—
1157C22⋊C4—22no—
1158C22⋊C4—22no—
1159C22⋊C4—22no—
1160C22⋊C4—102no—
1161C22⋊C4—102no—
1162C22⋊C4—102no—
1163C22⋊C4—102no—
1164C22⋊C4—102no—
1165C22⋊C4—102no—
1166C22⋊C4—102no—
1167C22⋊C4—102no—
1168C22⋊C4—102no—
1169C22⋊C4—102no—
1170C22⋊C4—102no—
1171C22⋊C4—102no—
1172C22⋊C4—201no—
1173C22⋊C4—201no—
1174C22⋊C4—201no—
1175C22⋊C4—201no—
1176C22⋊C4—201no—
1177C22⋊C4—201no—
1178C22⋊C4—201no—
1179C22⋊C4—201no—
1180C22⋊C4—201no—
1181C22⋊C4—201no—
1182C22⋊C4—201no—
1183C22⋊C4—201no—
1184C22⋊C4—201no—
1185C22⋊C4—201no—
1186C22⋊C4—201no—
1187C22⋊C4—201no—
1188C22⋊C4—201no—
1189C22⋊C4—201no—
1190C22⋊C4—201no—
1191C22⋊C4—201no—
1192C42—41no—
1193C42—41no—
1194C42—102no—
1195C42—102no—
1196C42—201no—
1197C42—201no—
1198C42—201no—
1199C42—201no—
1200C42—201no—
1201C42—201no—
1202C42—201no—
1203C42—201no—
1204C2×C5—24no—
1205C2×C5C2×#54111yescharacteristic
1206C2×C5#350511yescharacteristic
1207C2×C5#350611yescharacteristic
1208C2×C5#353511yescharacteristic
1209C2×C5#353611yescharacteristic
1210C2×C5#356111yescharacteristic
1211C2×C5#356411yescharacteristic
1212D5—81no—
1213D5—81no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—101no—
1219C23—101no—
1220C23—101no—
1221C23—101no—
1222C23—101no—
1223C23—101no—
1224C23—101no—
1225C23—101no—
1226C23—101no—
1227C23—101no—
1228C23—101no—
1229C23—101no—
1230C23—101no—
1231C23—101no—
1232C23—204no—
1233C23—204no—
1234C23—204no—
1235C23—402no—
1236C23—402no—
1237C23—402no—
1238C23—402no—
1239C23#414712yes—
1240C23D5×#4112yes—
1241C23#415012yes—
1242C23C24×D511yescharacteristic
1243Q8—402no—
1244Q8—402no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—44no—
1287C2×C4—44no—
1288C2×C4—52no—
1289C2×C4—52no—
1290C2×C4—52no—
1291C2×C4—82no—
1292C2×C4—101no—
1293C2×C4—101no—
1294C2×C4—101no—
1295C2×C4—101no—
1296C2×C4—101no—
1297C2×C4—101no—
1298C2×C4—101no—
1299C2×C4—101no—
1300C2×C4—101no—
1301C2×C4—101no—
1302C2×C4—101no—
1303C2×C4—101no—
1304C2×C4—101no—
1305C2×C4—101no—
1306C2×C4—101no—
1307C2×C4—101no—
1308C2×C4—101no—
1309C2×C4—101no—
1310C2×C4—101no—
1311C2×C4—101no—
1312C2×C4—101no—
1313C2×C4—101no—
1314C2×C4—101no—
1315C2×C4—101no—
1316C2×C4—101no—
1317C2×C4—101no—
1318C2×C4—101no—
1319C2×C4—101no—
1320C2×C4—101no—
1321C2×C4—101no—
1322C2×C4—101no—
1323C2×C4—101no—
1324C2×C4—101no—
1325C2×C4—101no—
1326C2×C4—101no—
1327C2×C4—101no—
1328C2×C4—101no—
1329C2×C4—101no—
1330C2×C4—101no—
1331C2×C4—204no—
1332C2×C4—204no—
1333C2×C4—402no—
1334C2×C4#414412yes—
1335C5#3676011yescharacteristic, complemented, Sylow
1336C22—22no—
1337C22—22no—
1338C22—22no—
1339C22—22no—
1340C22—22no—
1341C22—22no—
1342C22—201no—
1343C22—201no—
1344C22—201no—
1345C22—201no—
1346C22—201no—
1347C22—201no—
1348C22—201no—
1349C22—201no—
1350C22—201no—
1351C22—201no—
1352C22—201no—
1353C22—201no—
1354C22—201no—
1355C22—201no—
1356C22—408no—
1357C22#6603014yes—
1358C22C2×#414411yescharacteristic
1359C22C2×#414711yescharacteristic
1360C22C2×D5×#4111yescharacteristic
1361C22C2×#415011yescharacteristic
1362C22#6628311yescharacteristic
1363C22D5×H(5,𝔽2)11yescharacteristic
1364C22#6628711yescharacteristic
1365C4—22no—
1366C4—41no—
1367C4—41no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—41no—
1373C4—41no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—102no—
1380C4—102no—
1381C4—102no—
1382C4—201no—
1383C4—201no—
1384C4—201no—
1385C4—201no—
1386C4—201no—
1387C4—201no—
1388C4—201no—
1389C4—201no—
1390C4—201no—
1391C4—201no—
1392C4—201no—
1393C2—24no—
1394C2—401no—
1395C2—401no—
1396C2#1061793011yescharacteristic
1397C2C2×#6603011yescharacteristic
1398C2#1061835511yescharacteristic
1399C2#1061854811yescharacteristic
1400C2#1061865811yescharacteristic
1401C2#1061875411yescharacteristic
1402C2#1061885211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2473C2
prime radicalC24×D5C23
hypercenter#2473D5
hypocenterC5#36760
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2473

Complements

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

NH ≅ G/Ntype
1. C5×#2473C2semidirect
2. #10614784C2semidirect
3. #10614783C2semidirect
4. #10613905C2semidirect
6. #10610036C2semidirect
7. #10610007C2semidirect
8. #10609633C2semidirect
9. #10609605C2semidirect
10. #10609597C2semidirect
11. #10609597C2semidirect
12. #10609594C2semidirect
13. #10609588C2semidirect
14. #10607901C2semidirect
15. #10607856C2semidirect
16. #10606971C2semidirect
17. #10606950C2semidirect
18. #10606915C2semidirect
19. #10606893C2semidirect
22. #10606317C2semidirect
23. #10606195C2semidirect
24. #10606194C2semidirect
27. #10606118C2semidirect
28. #10605732C2semidirect
31. #10605178C2semidirect
32. C2×C5×#125C22semidirect
41. C2×#4035C22semidirect
42. C2×#4035C22semidirect
43. C2×#4034C22semidirect
47. C5×#400C22semidirect
48. C5×#398C22semidirect
49. C5×#398C22semidirect
50. C5×#398C22semidirect
51. C5×#389C22semidirect
52. C5×#387C22semidirect
53. C5×#387C22semidirect
93. #65275C22semidirect
94. #65274C22semidirect
95. #65273C22semidirect
96. #65273C22semidirect
97. #65272C22semidirect
98. #65271C22semidirect
99. #65271C22semidirect
100. #65270C22semidirect
101. #65270C22semidirect
102. #65269C22semidirect
103. #65269C22semidirect
104. #65267C22semidirect
105. #65267C22semidirect
106. #65267C22semidirect
107. #65267C22semidirect
108. #65266C22semidirect
109. #65265C22semidirect
110. #65263C22semidirect
111. #65262C22semidirect
112. #65262C22semidirect
113. #65262C22semidirect
114. #65261C22semidirect
115. #65261C22semidirect
116. #65261C22semidirect
117. #65261C22semidirect
135. #65222C22semidirect
136. #65222C22semidirect
137. #65218C22semidirect
138. #65217C22semidirect
163. #64949C22semidirect
164. #64949C22semidirect
165. #64947C22semidirect
166. #64947C22semidirect
167. #64944C22semidirect
168. #64944C22semidirect
169. #64943C22semidirect
170. #64943C22semidirect
171. #64942C22semidirect
172. #64942C22semidirect
173. #64941C22semidirect
174. #64941C22semidirect
175. #64941C22semidirect
176. #64941C22semidirect
177. #64939C22semidirect
178. #64939C22semidirect
179. #64936C22semidirect
180. #64936C22semidirect
181. #64936C22semidirect
182. #64936C22semidirect
183. #64935C22semidirect
184. #64935C22semidirect
185. #64935C22semidirect
186. #64935C22semidirect
385. #2473D5semidirect
552. C2×#125C2×D5semidirect
567. #400C2×D5semidirect
577. #398C2×D5semidirect
578. #398C2×D5semidirect
579. #398C2×D5semidirect
627. #389C2×D5semidirect
666. #387C2×D5semidirect
667. #387C2×D5semidirect
1335. C5#36760semidirect

Maximal subgroups

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

subgroupindex
C5×#24732
#106147842
#106147832
#106139052
C2×#652792
#106100362
#106100072
#106096332
#106096052
#106095972
#106095942
#106095882
#106079012
#106078562
#106069712
#106069502
#106069152
#106068932
#106063522
#106063172
#106061952
#106061942
#106061842
#106061832
#106061182
#106057322
#106056402
#106053272
#106051782
#367605