Finite Group Databasebeta

← #12307757

Subgroups — #12307757

Order 1280.

1742 conjugacy classes of subgroups.

The subgroup lattice has 1460 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2493C211yesmaximal, characteristic, complemented
2#10610165C211yesmaximal, characteristic, complemented
3#10610164C211yesmaximal, characteristic, complemented
4#10610114C211yesmaximal, characteristic, complemented
5#10610107C211yesmaximal, characteristic, complemented
6#10610020C211yesmaximal, characteristic, complemented
7#10609982C211yesmaximal, characteristic, complemented
8#10609970C211yesmaximal, characteristic, complemented
9#10609968C211yesmaximal, characteristic, complemented
10#10607165C211yesmaximal, characteristic, complemented
11#10607146C211yesmaximal, characteristic, complemented
12#10607144C211yesmaximal, characteristic, complemented
13#10606946C211yesmaximal, characteristic, complemented
14#10606905C211yesmaximal, characteristic, complemented
15#10606882C211yesmaximal, characteristic, complemented
16#10606322C211yesmaximal, characteristic, complemented
17#10606318C211yesmaximal, characteristic, complemented
18#10606154C211yesmaximal, characteristic, complemented
19#10606144C211yesmaximal, characteristic, complemented
20#10606042C211yesmaximal, characteristic, complemented
21#10606018C211yesmaximal, characteristic, complemented
22#10605867C211yesmaximal, characteristic, complemented
23#10605861C211yesmaximal, characteristic, complemented
24#10605857C211yesmaximal, characteristic
25#10605821C211yesmaximal, characteristic, complemented
26#10605749C211yesmaximal, characteristic
27#10605729C211yesmaximal, characteristic, complemented
28#10605300C211yesmaximal, characteristic
29#10605251C211yesmaximal, characteristic, complemented
30#10605106C211yesmaximal, characteristic, complemented
31C2×#64959C211yesmaximal, characteristic, complemented
32C2×#4075C2211yescharacteristic
33C2×C4×C22⋊D5C2211yescharacteristic
34C22×#685C2211yescharacteristic
35C22×#685C2211yescharacteristic
36C22×#685C2211yescharacteristic
37C22×C4⋊Dic5C2211yescharacteristic
38C22×C4×Dic5C2211yescharacteristic
39C2×#4044C2211yescharacteristic, complemented
40C2×#4043C2211yescharacteristic
41C2×#4040C2211yescharacteristic
42C2×#4036C2211yescharacteristic, complemented
43C2×#4028C2211yescharacteristic
44C2×D5×C22⋊C4C2211yescharacteristic
45C2×D5×C22⋊C4C2211yescharacteristic
46C2×#4024C2211yescharacteristic
47C5×#401C2211yescharacteristic, complemented
48C5×#400C2211yescharacteristic, complemented
49C5×#400C2211yescharacteristic, complemented
50C5×#400C2211yescharacteristic, complemented
51C5×#387C2211yescharacteristic, complemented
52C5×#387C2211yescharacteristic, complemented
53C5×#387C2211yescharacteristic, complemented
54C5×#385C2211yescharacteristic
55C5×#385C2211yescharacteristic
56C5×#383C2211yescharacteristic, complemented
57C5×#381C2211yescharacteristic
58C5×#381C2211yescharacteristic
59C5×#380C2211yescharacteristic
60C4×C5×C22⋊C4C2211yescharacteristic
61C2×C5×#95C2211yescharacteristic
62#65502C2211yescharacteristic
63#65501C2211yescharacteristic
64#65500C2211yescharacteristic
65#65499C2211yescharacteristic
66C2×#3963C2211yescharacteristic
67#65283C2211yescharacteristic
68#65283C2211yescharacteristic
69#65283C2211yescharacteristic, complemented
70#65282C2211yescharacteristic
71#65280C2211yescharacteristic
72#65279C2211yescharacteristic, complemented
73#65278C2211yescharacteristic
74#65278C2211yescharacteristic
75#65278C2211yescharacteristic
76#65278C2211yescharacteristic, complemented
77#65276C2211yescharacteristic
78#65276C2211yescharacteristic
79#65276C2211yescharacteristic
80#65274C2211yescharacteristic, complemented
81#65270C2211yescharacteristic, complemented
82#65270C2211yescharacteristic, complemented
83#65269C2211yescharacteristic, complemented
84#65267C2211yescharacteristic, complemented
85#65266C2211yescharacteristic, complemented
86#65262C2211yescharacteristic, complemented
87#65247C2211yescharacteristic
88#65247C2211yescharacteristic
89#65247C2211yescharacteristic
90#65244C2211yescharacteristic
91#65239C2211yescharacteristic
92#65239C2211yescharacteristic
93#65239C2211yescharacteristic
94#65239C2211yescharacteristic
95#65235C2211yescharacteristic
96#65235C2211yescharacteristic
97#65235C2211yescharacteristic
98#65231C2211yescharacteristic
99#65229C2211yescharacteristic
100#65229C2211yescharacteristic
101#65228C2211yescharacteristic
102#65228C2211yescharacteristic
103#65225C2211yescharacteristic, complemented
104#65222C2211yescharacteristic, complemented
105#65222C2211yescharacteristic, complemented
106#65217C2211yescharacteristic, complemented
107#64966C2211yescharacteristic
108#64966C2211yescharacteristic, complemented
109#64966C2211yescharacteristic, complemented
110#64964C2211yescharacteristic
111#64964C2211yescharacteristic
112#64964C2211yescharacteristic
113#64964C2211yescharacteristic
114#64964C2211yescharacteristic
115#64964C2211yescharacteristic, complemented
116#64963C2211yescharacteristic
117#64963C2211yescharacteristic
118#64963C2211yescharacteristic, complemented
119#64963C2211yescharacteristic, complemented
120#64963C2211yescharacteristic, complemented
121#64962C2211yescharacteristic
122#64962C2211yescharacteristic, complemented
123#64961C2211yescharacteristic
124#64961C2211yescharacteristic
125#64961C2211yescharacteristic
126#64959C2211yescharacteristic
127#64959C2211yescharacteristic
128#64959C2211yescharacteristic
129#64959C2211yescharacteristic
130#64959C2211yescharacteristic
131#64959C2211yescharacteristic
132#64959C2211yescharacteristic
133#64959C2211yescharacteristic
134#64959C2211yescharacteristic
135#64959C2211yescharacteristic
136#64959C2211yescharacteristic, complemented
137#64958C2211yescharacteristic, complemented
138#64957C2211yescharacteristic
139#64957C2211yescharacteristic
140#64957C2211yescharacteristic
141#64957C2211yescharacteristic
142#64957C2211yescharacteristic
143#64957C2211yescharacteristic
144#64957C2211yescharacteristic, complemented
145#64956C2211yescharacteristic
146#64956C2211yescharacteristic
147#64956C2211yescharacteristic
148#64956C2211yescharacteristic
149#64956C2211yescharacteristic, complemented
150#64954C2211yescharacteristic
151#64954C2211yescharacteristic
152#64954C2211yescharacteristic
153#64954C2211yescharacteristic
154#64954C2211yescharacteristic
155#64953C2211yescharacteristic
156#64953C2211yescharacteristic
157#64953C2211yescharacteristic
158#64953C2211yescharacteristic, complemented
159#64950C2211yescharacteristic, complemented
160#64950C2211yescharacteristic, complemented
161#64950C2211yescharacteristic, complemented
162#64950C2211yescharacteristic, complemented
163#64949C2211yescharacteristic, complemented
164#64949C2211yescharacteristic, complemented
165#64949C2211yescharacteristic, complemented
166#64949C2211yescharacteristic, complemented
167#64949C2211yescharacteristic, complemented
168#64948C2211yescharacteristic, complemented
169#64948C2211yescharacteristic, complemented
170#64947C2211yescharacteristic, complemented
171#64947C2211yescharacteristic, complemented
172#64946C2211yescharacteristic, complemented
173#64946C2211yescharacteristic, complemented
174#64946C2211yescharacteristic, complemented
175#64946C2211yescharacteristic, complemented
176#64945C2211yescharacteristic, complemented
177#64945C2211yescharacteristic, complemented
178#64944C2211yescharacteristic, complemented
179#64944C2211yescharacteristic, complemented
180#64943C2211yescharacteristic, complemented
181#64943C2211yescharacteristic, complemented
182#64943C2211yescharacteristic, complemented
183#64943C2211yescharacteristic, complemented
184#64941C2211yescharacteristic, complemented
185#64940C2211yescharacteristic, complemented
186#64935C2211yescharacteristic, complemented
187#36780—51nomaximal, Sylow
188C24×D5C2311yescharacteristic
189C23×C4×C5C2311yescharacteristic
190C23×C4×C5C2311yescharacteristic
191C23×C4×C5C2311yescharacteristic
192C22×C22⋊D5C2311yescharacteristic
193C23×Dic5C2311yescharacteristic
194C23×Dic5C2311yescharacteristic
195C23×Dic5C2311yescharacteristic
196C22×D20C2311yescharacteristic
197C22×D20C2311yescharacteristic
198C22×C4×D5C2311yescharacteristic
199C22×C4×D5C2311yescharacteristic
200C22×C4×D5C2311yescharacteristic
201C22×C4×D5C2311yescharacteristic
202C22×C4×D5C2311yescharacteristic
203C22×Dic10C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
211C2×C5×C22⋊C4C2311yescharacteristic
212C2×C5×C22⋊C4C2311yescharacteristic
213C2×C5×C22⋊C4C2311yescharacteristic
214C2×C42×C5C2311yescharacteristic
215C2×C42×C5C2311yescharacteristic
216C2×C22⋊Dic5C2311yescharacteristic
217C2×C22⋊Dic5C2311yescharacteristic
218C2×C22⋊Dic5C2311yescharacteristic
219#4075—42no—
220C4×C22⋊D5—42no—
221C2×#685—24no—
222C2×#685—42no—
223C2×#685—42no—
224C2×#685C2311yescharacteristic
225C2×#685C2311yescharacteristic
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×#685C2311yescharacteristic
255C2×#685C2311yescharacteristic
256C2×#685C2311yescharacteristic
257C2×C4⋊Dic5—42no—
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×C4⋊Dic5C2311yescharacteristic
271C2×C4⋊Dic5C2311yescharacteristic
272C2×C4⋊Dic5C2311yescharacteristic
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×C4×Dic5—42no—
289C2×C4×Dic5C2311yescharacteristic
290C2×C4×Dic5C2311yescharacteristic
291C2×C4×Dic5C2311yescharacteristic
292C2×C4×Dic5C2311yescharacteristic
293C2×C4×Dic5C2311yescharacteristic
294#4044—42no—
295#4043—42no—
296#4040—42no—
297#4036—42no—
298#4028—24no—
299D5×C22⋊C4—24no—
300D5×C22⋊C4—42no—
301#4024—42no—
302C5×#95C2311yescharacteristic
303C5×#95C2311yescharacteristic
304C5×#95C2311yescharacteristic
305C5×#95C2311yescharacteristic
306C5×#95C2311yescharacteristic
307C5×#95C2311yescharacteristic
308C5×#95C2311yescharacteristic
309C5×#95C2311yescharacteristic
310C5×#95C2311yescharacteristic
311C5×#95C2311yescharacteristic
312C5×#95C2311yescharacteristic
313C5×#95C2311yescharacteristic
314C5×#95C2311yescharacteristic
315C5×#95C2311yescharacteristic
316C5×#95C2311yescharacteristic
317C5×#95C2311yescharacteristic
318C5×#95C2311yescharacteristic
319C5×#95C2311yescharacteristic
320C5×#95C2311yescharacteristic
321C5×#95C2311yescharacteristic
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#2786—51no—
361#2782—51no—
362#2770—51no—
363#2770—51no—
364#2747—51no—
365#2746—51no—
366#2745—51no—
367#2744—51no—
368#2744—51no—
369#2743—51no—
370#2738—51no—
371#2737—51no—
372#2723—51no—
373#2695—51no—
374#2694—51no—
375#2690—51no—
376#2627—51no—
377#2623—51no—
378#2505—51no—
379#2493D511yescharacteristic, complemented
380#2483—51no—
381#2450—51no—
382#2437—51no—
383#2419—51no—
384#2412—51no—
385#2412—51no—
386#2321—51no—
387#2315—51no—
388C2×#388—51no—
389C24×C5C2411yescharacteristic
390C23×D5—22no—
391C23×D5—22no—
392C23×D5—41no—
393C23×D5—41no—
394C23×D5—41no—
395C23×D5—41no—
396C23×D5#4114yes—
397C23×D5C2411yescharacteristic
398C23×D5C2411yescharacteristic
399C23×D5C2411yescharacteristic
400C22×C4×C5—22no—
401C22×C4×C5—22no—
402C22×C4×C5—22no—
403C22×C4×C5—22no—
404C22×C4×C5—22no—
405C22×C4×C5—22no—
406C22×C4×C5—41no—
407C22×C4×C5—41no—
408C22×C4×C5—41no—
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×C4×C5C2411yescharacteristic
423C2×C22⋊D5—22no—
424C2×C22⋊D5—22no—
425C2×C22⋊D5—22no—
426C22×Dic5—22no—
427C22×Dic5—22no—
428C22×Dic5—22no—
429C22×Dic5—41no—
430C22×Dic5—41no—
431C22×Dic5—41no—
432C22×Dic5—41no—
433C22×Dic5—41no—
434C22×Dic5—41no—
435C22×Dic5C2411yescharacteristic
436C22×Dic5C2411yescharacteristic
437C22×Dic5C2411yescharacteristic
438C22×Dic5C2411yescharacteristic
439C22×Dic5C2411yescharacteristic
440C22×Dic5C2411yescharacteristic
441C22×Dic5C2411yescharacteristic
442C22×Dic5C2411yescharacteristic
443C22×Dic5C2411yescharacteristic
444C22×Dic5C2411yescharacteristic
445C22×Dic5C2411yescharacteristic
446C22×Dic5C2411yescharacteristic
447C22×Dic5C2411yescharacteristic
448C2×D20—22no—
449C2×D20—22no—
450C2×D20—41no—
451C2×D20—41no—
452C2×D20—41no—
453C2×D20—41no—
454C2×C4×D5—22no—
455C2×C4×D5—22no—
456C2×C4×D5—41no—
457C2×C4×D5—41no—
458C2×C4×D5—41no—
459C2×C4×D5—41no—
460C2×C4×D5—41no—
461C2×C4×D5—41no—
462C2×C4×D5—41no—
463C2×C4×D5—41no—
464C2×C4×D5—41no—
465C2×C4×D5—41no—
466C2×C4×D5—41no—
467C2×C4×D5—41no—
468C2×C4×D5—41no—
469C2×Dic10—41no—
470C2×Dic10—41no—
471C2×Dic10—41no—
472C5×C4⋊C4—22no—
473C5×C4⋊C4—22no—
474C5×C4⋊C4—41no—
475C5×C4⋊C4—41no—
476C5×C4⋊C4—41no—
477C5×C4⋊C4—41no—
478C5×C22⋊C4—22no—
479C5×C22⋊C4—22no—
480C5×C22⋊C4—22no—
481C5×C22⋊C4—22no—
482C42×C5—41no—
483C42×C5—41no—
484C22⋊Dic5—22no—
485C22⋊Dic5—22no—
486C22⋊Dic5—22no—
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—41no—
499#685—41no—
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—
518#685—41no—
519#685—41no—
520C4⋊Dic5—22no—
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—
530C4⋊Dic5—41no—
531C4⋊Dic5—41no—
532C4⋊Dic5—41no—
533C4⋊Dic5—41no—
534C4⋊Dic5—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—
547#683—41no—
548#683—41no—
549#683—41no—
550C4×Dic5—22no—
551C4×Dic5—22no—
552C4×Dic5—41no—
553C4×Dic5—41no—
554C4×Dic5—41no—
555C2×#126—51no—
556C2×#125—51no—
557C2×#123—51no—
558C2×#123—51no—
559C2×C22⋊Q8—51no—
560C2×C22⋊Q8—51no—
561C2×#120—51no—
562C2×C4×D4—51no—
563C22×C4⋊C4—51no—
564C22×C22⋊C4—51no—
565C22×C22⋊C4—51no—
566C22×C22⋊C4—51no—
567C22×C22⋊C4—51no—
568C22×C22⋊C4—51no—
569C22×C42—51no—
570#401C2×D511yescharacteristic, complemented
571#400—51no—
572#400—51no—
573#400—51no—
574#400—51no—
575#400—51no—
576#400—51no—
577#400—51no—
578#400—51no—
579#400—51no—
580#400C2×D511yescharacteristic, complemented
581#400C2×D511yescharacteristic, complemented
582#400C2×D511yescharacteristic, complemented
583#399—51no—
584#399—51no—
585#399—51no—
586#398—51no—
587#398—51no—
588#398—51no—
589#398—51no—
590#398—51no—
591#398—51no—
592#398—51no—
593#398—51no—
594#398—51no—
595#397—51no—
596#397—51no—
597#397—51no—
598#397—51no—
599#397—51no—
600#397—51no—
601#397—51no—
602#397—51no—
603#397—51no—
604#397—51no—
605#397—51no—
606#397—51no—
607#396—51no—
608#396—51no—
609#396—51no—
610#395—51no—
611#395—51no—
612#394—51no—
613#394—51no—
614#394—51no—
615#394—51no—
616#393—51no—
617#393—51no—
618#391—51no—
619#390—51no—
620#390—51no—
621#389—51no—
622#389—51no—
623#389—51no—
624#388—51no—
625#388—51no—
626#388—51no—
627#388—51no—
628#388—51no—
629#388—51no—
630#388—51no—
631#388—51no—
632#388—51no—
633#388—51no—
634#388—51no—
635#388—51no—
636#388—51no—
637#388—51no—
638#388—51no—
639#387—51no—
640#387—51no—
641#387—51no—
642#387—51no—
643#387—51no—
644#387—51no—
645#387—51no—
646#387—51no—
647#387—51no—
648#387—51no—
649#387—51no—
650#387—51no—
651#387C2×D511yescharacteristic, complemented
652#387C2×D511yescharacteristic, complemented
653#387C2×D511yescharacteristic, complemented
654#386—51no—
655#386—51no—
656#386—51no—
657#386—51no—
658#386—51no—
659#386—51no—
660#386—51no—
661#386—51no—
662#386—51no—
663#385—51no—
664#385—51no—
665#385—51no—
666#385—51no—
667#385—51no—
668#385—51no—
669#385—51no—
670#385—51no—
671#385—51no—
672#385—51no—
673#385—51no—
674#385—51no—
675#385—51no—
676#385—51no—
677#385—51no—
678#385—51no—
679#385—51no—
680#385—51no—
681#385—51no—
682#385C2×D511yescharacteristic
683#385C2×D511yescharacteristic
684#383—51no—
685#383C2×D511yescharacteristic, complemented
686#382—51no—
687#382—51no—
688#381—51no—
689#381—51no—
690#381—51no—
691#381—51no—
692#381—51no—
693#381C2×D511yescharacteristic
694#381C2×D511yescharacteristic
695#380—51no—
696#380—51no—
697#380—51no—
698#380—51no—
699#380—51no—
700#380—51no—
701#380—51no—
702#380—51no—
703#380—51no—
704#380—51no—
705#380C2×D511yescharacteristic
706#379—51no—
707C4×C22⋊C4C2×D511yescharacteristic
708C2×#95—51no—
709C2×#95C2×D511yescharacteristic
710C23×C5—21no—
711C23×C5—21no—
712C23×C5—21no—
713C23×C5—21no—
714C23×C5C2×#4112yes—
715C23×C5H(5,𝔽2)12yes—
716C23×C52−1+412yes—
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—28no—
731C22×D5—21no—
732C22×D5—21no—
733C22×D5—21no—
734C22×D5—21no—
735C22×D5—21no—
736C22×D5—21no—
737C22×D5—21no—
738C22×D5—44no—
739C22×D5—44no—
740C22×D5—82no—
741C22×D5—82no—
742C22×D5—82no—
743C22×D5—82no—
744C22×D5C2×#4112yes—
745C22×D5C2×#4112yes—
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×C5—21no—
787C2×C4×C5—44no—
788C2×C4×C5—44no—
789C2×C4×C5—82no—
790C2×C4×C5H(5,𝔽2)12yes—
791C22⋊D5—44no—
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—21no—
829C2×Dic5—21no—
830C2×Dic5—21no—
831C2×Dic5—44no—
832C2×Dic5—44no—
833C2×Dic5—82no—
834D20—82no—
835D20—82no—
836C4×D5—82no—
837C4×D5—82no—
838C4×D5—82no—
839C4×D5—82no—
840C4×D5—82no—
841Dic10—82no—
842C25—51no—
843C22×Q8—51no—
844C22×D4—51no—
845C22×D4—51no—
846C22×D4—51no—
847C23×C4—51no—
848C23×C4—51no—
849C23×C4—51no—
850C23×C4—51no—
851C23×C4—51no—
852C23×C4—51no—
853C23×C4—51no—
854C23×C4—51no—
855C23×C4C22×D511yescharacteristic
856C23×C4C22×D511yescharacteristic
857C23×C4C22×D511yescharacteristic
858#126—202no—
859#125—202no—
860#123—202no—
861#123—202no—
862C22⋊Q8—202no—
863C22⋊Q8—202no—
864#120—104no—
865C4×D4—202no—
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—51no—
892C2×C4⋊C4—51no—
893C2×C4⋊C4—51no—
894C2×C4⋊C4—51no—
895C2×C4⋊C4—51no—
896C2×C4⋊C4—202no—
897C2×C4⋊C4C22×D511yescharacteristic
898C2×C4⋊C4C22×D511yescharacteristic
899C2×C4⋊C4C22×D511yescharacteristic
900C2×C4⋊C4C22×D511yescharacteristic
901C2×C4⋊C4C22×D511yescharacteristic
902C2×C4⋊C4C22×D511yescharacteristic
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—51no—
939C2×C22⋊C4—104no—
940C2×C22⋊C4—104no—
941C2×C22⋊C4—202no—
942C2×C22⋊C4—202no—
943C2×C22⋊C4—202no—
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—202no—
954C2×C42C22×D511yescharacteristic
955C2×C42C22×D511yescharacteristic
956#95—51no—
957#95—51no—
958#95—51no—
959#95—51no—
960#95—51no—
961#95—51no—
962#95—51no—
963#95—51no—
964#95—51no—
965#95—51no—
966#95—51no—
967#95—51no—
968#95—51no—
969#95—51no—
970#95—51no—
971#95—51no—
972#95—51no—
973#95—51no—
974#95—51no—
975#95—51no—
976#95—51no—
977#95—51no—
978#95—51no—
979#95—51no—
980#95—51no—
981#95—51no—
982#95—51no—
983#95—51no—
984#95—51no—
985#95—51no—
986#95—51no—
987#95—51no—
988#95—51no—
989#95—51no—
990#95—51no—
991#95—51no—
992#95C22×D511yescharacteristic
993#95C22×D511yescharacteristic
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
1008#95C22×D511yescharacteristic
1009#95C22×D511yescharacteristic
1010#95C22×D511yescharacteristic
1011#95C22×D511yescharacteristic
1012C22×C5—22no—
1013C22×C5—22no—
1014C22×C5—22no—
1015C22×C5—22no—
1016C22×C5—22no—
1017C22×C5—22no—
1018C22×C5#53914yes—
1019C22×C5C22×#4111yescharacteristic
1020C22×C5C2×H(5,𝔽2)11yescharacteristic
1021C22×C5C2×H(5,𝔽2)11yescharacteristic
1022C22×C5C2×2−1+411yescharacteristic
1023C22×C5#58511yescharacteristic
1024C22×C5#58511yescharacteristic
1025C22×C5#58511yescharacteristic
1026C2×D5—22no—
1027C2×D5—22no—
1028C2×D5—22no—
1029C2×D5—22no—
1030C2×D5—22no—
1031C2×D5—22no—
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—41no—
1043C2×D5—41no—
1044C2×D5—41no—
1045C2×D5—41no—
1046C2×D5—41no—
1047C2×D5—88no—
1048C4×C5—22no—
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—
1058C4×C5—41no—
1059C4×C5—41no—
1060C4×C5—41no—
1061C4×C5—41no—
1062Dic5—41no—
1063Dic5—41no—
1064Dic5—41no—
1065Dic5—41no—
1066Dic5—41no—
1067Dic5—41no—
1068Dic5—41no—
1069Dic5—41no—
1070Dic5—41no—
1071Dic5—41no—
1072Dic5—41no—
1073Dic5—41no—
1074Dic5—41no—
1075C24—51no—
1076C24—51no—
1077C24—54no—
1078C24—51no—
1079C24—102no—
1080C24—102no—
1081C24—201no—
1082C24—201no—
1083C24—201no—
1084C24—201no—
1085C24C23×D511yescharacteristic
1086C2×Q8—201no—
1087C2×Q8—201no—
1088C2×Q8—201no—
1089C2×D4—102no—
1090C2×D4—102no—
1091C2×D4—102no—
1092C2×D4—102no—
1093C2×D4—102no—
1094C2×D4—201no—
1095C2×D4—201no—
1096C2×D4—201no—
1097C2×D4—201no—
1098C22×C4—22no—
1099C22×C4—22no—
1100C22×C4—22no—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—22no—
1104C22×C4—41no—
1105C22×C4—41no—
1106C22×C4—41no—
1107C22×C4—51no—
1108C22×C4—51no—
1109C22×C4—51no—
1110C22×C4—51no—
1111C22×C4—51no—
1112C22×C4—51no—
1113C22×C4—51no—
1114C22×C4—51no—
1115C22×C4—51no—
1116C22×C4—51no—
1117C22×C4—51no—
1118C22×C4—51no—
1119C22×C4—51no—
1120C22×C4—102no—
1121C22×C4—102no—
1122C22×C4—102no—
1123C22×C4—102no—
1124C22×C4—102no—
1125C22×C4—201no—
1126C22×C4—201no—
1127C22×C4—201no—
1128C22×C4—201no—
1129C22×C4—201no—
1130C22×C4—201no—
1131C22×C4—201no—
1132C22×C4—201no—
1133C22×C4—201no—
1134C22×C4—201no—
1135C22×C4—201no—
1136C22×C4—201no—
1137C22×C4—201no—
1138C22×C4—201no—
1139C22×C4—201no—
1140C22×C4—201no—
1141C22×C4—201no—
1142C22×C4—201no—
1143C22×C4—201no—
1144C22×C4C23×D511yescharacteristic
1145C22×C4C23×D511yescharacteristic
1146C22×C4C23×D511yescharacteristic
1147C22×C4C23×D511yescharacteristic
1148C22×C4C23×D511yescharacteristic
1149C22×C4C23×D511yescharacteristic
1150C22×C4C23×D511yescharacteristic
1151C22×C4C23×D511yescharacteristic
1152C22×C4C23×D511yescharacteristic
1153C22×C4C23×D511yescharacteristic
1154C22×C4C23×D511yescharacteristic
1155C22×C4C23×D511yescharacteristic
1156C22×C4C23×D511yescharacteristic
1157C22×C4C23×D511yescharacteristic
1158C4⋊C4—22no—
1159C4⋊C4—22no—
1160C4⋊C4—41no—
1161C4⋊C4—41no—
1162C4⋊C4—41no—
1163C4⋊C4—41no—
1164C4⋊C4—102no—
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—
1182C4⋊C4—201no—
1183C4⋊C4—201no—
1184C4⋊C4—201no—
1185C4⋊C4—201no—
1186C4⋊C4—201no—
1187C4⋊C4—201no—
1188C4⋊C4—201no—
1189C4⋊C4—201no—
1190C4⋊C4—201no—
1191C4⋊C4—201no—
1192C4⋊C4—201no—
1193C4⋊C4—201no—
1194C22⋊C4—22no—
1195C22⋊C4—22no—
1196C22⋊C4—22no—
1197C22⋊C4—22no—
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—102no—
1209C22⋊C4—102no—
1210C22⋊C4—102no—
1211C22⋊C4—102no—
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—
1226C22⋊C4—201no—
1227C22⋊C4—201no—
1228C22⋊C4—201no—
1229C22⋊C4—201no—
1230C22⋊C4—201no—
1231C22⋊C4—201no—
1232C22⋊C4—201no—
1233C22⋊C4—201no—
1234C42—41no—
1235C42—41no—
1236C42—102no—
1237C42—102no—
1238C42—201no—
1239C42—201no—
1240C42—201no—
1241C2×C5—24no—
1242C2×C5C2×#53911yescharacteristic
1243C2×C5#349111yescharacteristic
1244C2×C5#350511yescharacteristic
1245C2×C5#353511yescharacteristic
1246C2×C5#354211yescharacteristic
1247C2×C5#354511yescharacteristic
1248C2×C5#356411yescharacteristic
1249D5—42no—
1250D5—42no—
1251D5—81no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
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—108no—
1271C23—101no—
1272C23—101no—
1273C23—101no—
1274C23—101no—
1275C23—101no—
1276C23—101no—
1277C23—101no—
1278C23—204no—
1279C23—204no—
1280C23—402no—
1281C23—402no—
1282C23—402no—
1283C23—402no—
1284C23D5×#4112yes—
1285C23#414912yes—
1286C23#415012yes—
1287C23C24×D511yescharacteristic
1288Q8—402no—
1289D4—204no—
1290D4—402no—
1291D4—402no—
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—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—44no—
1334C2×C4—44no—
1335C2×C4—82no—
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—101no—
1370C2×C4—101no—
1371C2×C4—101no—
1372C2×C4—101no—
1373C2×C4—101no—
1374C2×C4—101no—
1375C2×C4—204no—
1376C2×C4—204no—
1377C2×C4—402no—
1378C2×C4—402no—
1379C2×C4—402no—
1380C2×C4—402no—
1381C2×C4—402no—
1382C2×C4—402no—
1383C2×C4#414912yes—
1384C5#3678011yescharacteristic, complemented, Sylow
1385C22—22no—
1386C22—22no—
1387C22—22no—
1388C22—22no—
1389C22—22no—
1390C22—22no—
1391C22—102no—
1392C22—102no—
1393C22—102no—
1394C22—102no—
1395C22—102no—
1396C22—102no—
1397C22—201no—
1398C22—201no—
1399C22—201no—
1400C22—201no—
1401C22—201no—
1402C22—201no—
1403C22—201no—
1404C22—201no—
1405C22—201no—
1406C22—201no—
1407C22—201no—
1408C22—201no—
1409C22—201no—
1410C22—201no—
1411C22—201no—
1412C22—408no—
1413C22#6604114yes—
1414C22C2×D5×#4111yescharacteristic
1415C22C2×#414911yescharacteristic
1416C22C2×#414911yescharacteristic
1417C22C2×#415011yescharacteristic
1418C22#6628311yescharacteristic
1419C22#6628511yescharacteristic
1420C22#6628711yescharacteristic
1421C4—22no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C4—41no—
1435C4—201no—
1436C4—201no—
1437C4—201no—
1438C4—201no—
1439C4—201no—
1440C4—201no—
1441C4—201no—
1442C4—201no—
1443C4—201no—
1444C4—201no—
1445C4—201no—
1446C4—201no—
1447C4—201no—
1448C2—24no—
1449C2—202no—
1450C2—202no—
1451C2—401no—
1452C2C2×#6604111yescharacteristic
1453C2#1061805911yescharacteristic
1454C2#1061835411yescharacteristic
1455C2#1061870311yescharacteristic
1456C2#1061870711yescharacteristic
1457C2#1061874711yescharacteristic
1458C2#1061875411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2493C2
prime radicalC2×#4028C22
hypercenter#2493D5
hypocenterC5#36780
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2493

Complements

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

NH ≅ G/Ntype
1. C5×#2493C2semidirect
2. #10610165C2semidirect
3. #10610164C2semidirect
4. #10610114C2semidirect
5. #10610107C2semidirect
6. #10610020C2semidirect
7. #10609982C2semidirect
8. #10609970C2semidirect
9. #10609968C2semidirect
10. #10607165C2semidirect
11. #10607146C2semidirect
12. #10607144C2semidirect
13. #10606946C2semidirect
14. #10606905C2semidirect
15. #10606882C2semidirect
16. #10606322C2semidirect
17. #10606318C2semidirect
18. #10606154C2semidirect
19. #10606144C2semidirect
20. #10606042C2semidirect
21. #10606018C2semidirect
22. #10605867C2semidirect
23. #10605861C2semidirect
25. #10605821C2semidirect
27. #10605729C2semidirect
29. #10605251C2semidirect
30. #10605106C2semidirect
31. C2×#64959C2semidirect
39. C2×#4044C22semidirect
42. C2×#4036C22semidirect
47. C5×#401C22semidirect
48. C5×#400C22semidirect
49. C5×#400C22semidirect
50. C5×#400C22semidirect
51. C5×#387C22semidirect
52. C5×#387C22semidirect
53. C5×#387C22semidirect
56. C5×#383C22semidirect
69. #65283C22semidirect
72. #65279C22semidirect
76. #65278C22semidirect
80. #65274C22semidirect
81. #65270C22semidirect
82. #65270C22semidirect
83. #65269C22semidirect
84. #65267C22semidirect
85. #65266C22semidirect
86. #65262C22semidirect
103. #65225C22semidirect
104. #65222C22semidirect
105. #65222C22semidirect
106. #65217C22semidirect
108. #64966C22semidirect
109. #64966C22semidirect
115. #64964C22semidirect
118. #64963C22semidirect
119. #64963C22semidirect
120. #64963C22semidirect
122. #64962C22semidirect
136. #64959C22semidirect
137. #64958C22semidirect
144. #64957C22semidirect
149. #64956C22semidirect
158. #64953C22semidirect
159. #64950C22semidirect
160. #64950C22semidirect
161. #64950C22semidirect
162. #64950C22semidirect
163. #64949C22semidirect
164. #64949C22semidirect
165. #64949C22semidirect
166. #64949C22semidirect
167. #64949C22semidirect
168. #64948C22semidirect
169. #64948C22semidirect
170. #64947C22semidirect
171. #64947C22semidirect
172. #64946C22semidirect
173. #64946C22semidirect
174. #64946C22semidirect
175. #64946C22semidirect
176. #64945C22semidirect
177. #64945C22semidirect
178. #64944C22semidirect
179. #64944C22semidirect
180. #64943C22semidirect
181. #64943C22semidirect
182. #64943C22semidirect
183. #64943C22semidirect
184. #64941C22semidirect
185. #64940C22semidirect
186. #64935C22semidirect
379. #2493D5semidirect
570. #401C2×D5semidirect
580. #400C2×D5semidirect
581. #400C2×D5semidirect
582. #400C2×D5semidirect
651. #387C2×D5semidirect
652. #387C2×D5semidirect
653. #387C2×D5semidirect
685. #383C2×D5semidirect
1384. C5#36780semidirect

Maximal subgroups

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

subgroupindex
C5×#24932
#106101652
#106101642
#106101142
#106101072
#106100202
#106099822
#106099702
#106099682
#106071652
#106071462
#106071442
#106069462
#106069052
#106068822
#106063222
#106063182
#106061542
#106061442
#106060422
#106060182
#106058672
#106058612
#106058572
#106058212
#106057492
#106057292
#106053002
#106052512
#106051062
C2×#649592
#367805