Finite Group Databasebeta

← #28797034

Subgroups — #28797034

Order 15104.

2454 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432386C211yesmaximal, characteristic, complemented
2#21432376C211yesmaximal, characteristic, complemented
3#21431719C211yesmaximal, characteristic, complemented
4#21431709C211yesmaximal, characteristic, complemented
5#21431472C211yesmaximal, characteristic, complemented
6#21431329C211yesmaximal, characteristic, complemented
7#21431325C211yesmaximal, characteristic, complemented
8#21431312C211yesmaximal, characteristic, complemented
9#21431241C211yesmaximal, characteristic, complemented
10#21430746C211yesmaximal, characteristic, complemented
11#21430658C211yesmaximal, characteristic, complemented
12#21430641C211yesmaximal, characteristic, complemented
13#21430530C211yesmaximal, characteristic, complemented
14#21430528C211yesmaximal, characteristic, complemented
15#21430471C211yesmaximal, characteristic, complemented
16#21430423C211yesmaximal, characteristic, complemented
17#21430399C211yesmaximal, characteristic, complemented
18#21430299C211yesmaximal, characteristic, complemented
19#21430052C211yesmaximal, characteristic, complemented
20#21430029C211yesmaximal, characteristic, complemented
21#21428658C211yesmaximal, characteristic, complemented
22#21428216C211yesmaximal, characteristic, complemented
23#21427840C211yesmaximal, characteristic, complemented
24#21427761C211yesmaximal, characteristic, complemented
25#21427467C211yesmaximal, characteristic, complemented
26#21427466C211yesmaximal, characteristic, complemented
27#21427407C211yesmaximal, characteristic, complemented
28#21426750C211yesmaximal, characteristic, complemented
29#21426670C211yesmaximal, characteristic, complemented
30C2×#16837279C211yesmaximal, characteristic, complemented
31C59×#2424C211yesmaximal, characteristic, complemented
32C23×C22⋊D59C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34C24×Dic59C2211yescharacteristic, complemented
35C2×#14273713C2211yescharacteristic, complemented
36C2×#14273708C2211yescharacteristic, complemented
37C2×#14273708C2211yescharacteristic, complemented
38C2×#14273706C2211yescharacteristic, complemented
39C2×#14273705C2211yescharacteristic, complemented
40C2×#14273699C2211yescharacteristic
41C2×#14273699C2211yescharacteristic, complemented
42C2×#14273699C2211yescharacteristic, complemented
43C2×#14273698C2211yescharacteristic, complemented
44C2×#14273698C2211yescharacteristic, complemented
45C2×#14273696C2211yescharacteristic
46C2×#14273695C2211yescharacteristic
47C2×#14273695C2211yescharacteristic
48C2×#14273695C2211yescharacteristic
49C2×#14273695C2211yescharacteristic, complemented
50C22×(C2×D59)⋊C4C2211yescharacteristic
51C22×(C2×D59)⋊C4C2211yescharacteristic
52C2×C22⋊C4×D59C2211yescharacteristic
53C59⋊#401C2211yescharacteristic, complemented
54C59⋊#401C2211yescharacteristic, complemented
55#16837344C2211yescharacteristic, complemented
56#16837342C2211yescharacteristic, complemented
57#16837341C2211yescharacteristic, complemented
58#16837340C2211yescharacteristic, complemented
59#16837340C2211yescharacteristic, complemented
60#16837340C2211yescharacteristic, complemented
61#16837340C2211yescharacteristic, complemented
62#16837337C2211yescharacteristic, complemented
63#16837331C2211yescharacteristic, complemented
64#16837330C2211yescharacteristic, complemented
65#16837330C2211yescharacteristic, complemented
66#16837330C2211yescharacteristic, complemented
67#16837329C2211yescharacteristic, complemented
68#16837328C2211yescharacteristic, complemented
69#16837328C2211yescharacteristic, complemented
70#16837327C2211yescharacteristic, complemented
71#16837327C2211yescharacteristic, complemented
72#16837327C2211yescharacteristic, complemented
73#16837326C2211yescharacteristic, complemented
74#16837324C2211yescharacteristic, complemented
75#16837324C2211yescharacteristic, complemented
76#16837319C2211yescharacteristic, complemented
77#16837318C2211yescharacteristic
78#16837318C2211yescharacteristic
79#16837318C2211yescharacteristic, complemented
80#16837317C2211yescharacteristic, complemented
81#16837317C2211yescharacteristic, complemented
82#16837317C2211yescharacteristic, complemented
83#16837316C2211yescharacteristic, complemented
84#16837316C2211yescharacteristic, complemented
85#16837315C2211yescharacteristic, complemented
86#16837314C2211yescharacteristic, complemented
87#16837314C2211yescharacteristic, complemented
88#16837314C2211yescharacteristic, complemented
89#16837311C2211yescharacteristic
90#16837311C2211yescharacteristic
91#16837311C2211yescharacteristic, complemented
92#16837310C2211yescharacteristic
93#16837310C2211yescharacteristic
94#16837310C2211yescharacteristic
95#16837310C2211yescharacteristic
96#16837310C2211yescharacteristic, complemented
97#16837302C2211yescharacteristic, complemented
98#16837302C2211yescharacteristic, complemented
99#16837302C2211yescharacteristic, complemented
100#16837295C2211yescharacteristic, complemented
101#16837295C2211yescharacteristic, complemented
102#16837293C2211yescharacteristic, complemented
103#16837293C2211yescharacteristic, complemented
104#16837293C2211yescharacteristic, complemented
105#16837292C2211yescharacteristic, complemented
106#16837292C2211yescharacteristic, complemented
107#16837290C2211yescharacteristic, complemented
108#16837290C2211yescharacteristic, complemented
109#16837289C2211yescharacteristic, complemented
110#16837286C2211yescharacteristic, complemented
111#16837282C2211yescharacteristic
112#16837282C2211yescharacteristic
113#16837282C2211yescharacteristic
114#16837282C2211yescharacteristic, complemented
115#16837282C2211yescharacteristic, complemented
116#16837282C2211yescharacteristic, complemented
117#16837282C2211yescharacteristic, complemented
118#16837282C2211yescharacteristic, complemented
119#16837282C2211yescharacteristic, complemented
120#16837281C2211yescharacteristic
121#16837281C2211yescharacteristic
122#16837281C2211yescharacteristic, complemented
123#16837281C2211yescharacteristic, complemented
124#16837281C2211yescharacteristic, complemented
125#16837280C2211yescharacteristic, complemented
126#16837280C2211yescharacteristic, complemented
127#16837279C2211yescharacteristic
128#16837279C2211yescharacteristic
129#16837279C2211yescharacteristic
130#16837279C2211yescharacteristic
131#16837279C2211yescharacteristic
132#16837279C2211yescharacteristic
133#16837279C2211yescharacteristic, complemented
134#16837279C2211yescharacteristic, complemented
135#16837279C2211yescharacteristic, complemented
136#16837279C2211yescharacteristic, complemented
137#16837279C2211yescharacteristic, complemented
138#16837279C2211yescharacteristic, complemented
139#16837278C2211yescharacteristic
140#16837278C2211yescharacteristic
141#16837278C2211yescharacteristic, complemented
142#16837278C2211yescharacteristic, complemented
143#16837278C2211yescharacteristic, complemented
144#16837278C2211yescharacteristic, complemented
145#16837278C2211yescharacteristic, complemented
146#16837277C2211yescharacteristic, complemented
147#16837276C2211yescharacteristic, complemented
148#16837274C2211yescharacteristic, complemented
149#16837274C2211yescharacteristic, complemented
150#16837274C2211yescharacteristic, complemented
151#16837274C2211yescharacteristic, complemented
152#16837273C2211yescharacteristic, complemented
153#16837273C2211yescharacteristic, complemented
154#16837269C2211yescharacteristic, complemented
155#16837265C2211yescharacteristic, complemented
156#16837264C2211yescharacteristic, complemented
157#16837264C2211yescharacteristic, complemented
158#16837263C2211yescharacteristic, complemented
159#16837263C2211yescharacteristic, complemented
160#16837261C2211yescharacteristic, complemented
161#16837260C2211yescharacteristic, complemented
162#16837260C2211yescharacteristic, complemented
163#16837260C2211yescharacteristic, complemented
164#16837258C2211yescharacteristic, complemented
165#16837257C2211yescharacteristic
166#16837257C2211yescharacteristic, complemented
167#16837257C2211yescharacteristic, complemented
168#16837257C2211yescharacteristic, complemented
169C4×C22⋊Dic59C2211yescharacteristic, complemented
170C2×C59⋊#95C2211yescharacteristic, complemented
171C2×C59⋊#95C2211yescharacteristic, complemented
172C2×#121×C59C2211yescharacteristic
173C2×#121×C59C2211yescharacteristic, complemented
174C2×#120×C59C2211yescharacteristic
175C2×#120×C59C2211yescharacteristic, complemented
176C2×C4×D4×C59C2211yescharacteristic, complemented
177C22×C22⋊C4×C59C2211yescharacteristic, complemented
178C59×#396C2211yescharacteristic, complemented
179C59×#394C2211yescharacteristic, complemented
180C59×#394C2211yescharacteristic, complemented
181C59×#392C2211yescharacteristic, complemented
182C59×#390C2211yescharacteristic, complemented
183C59×#388C2211yescharacteristic, complemented
184C59×#386C2211yescharacteristic
185C59×#386C2211yescharacteristic, complemented
186C59×#385C2211yescharacteristic, complemented
187C24×D59C2311yescharacteristic
188C24×D59C2311yescharacteristic
189C22×Dic118C2311yescharacteristic
190C22×D236C2311yescharacteristic
191C22×C22⋊D59—24no—
192C22×C22⋊D59—42no—
193C22×C22⋊D59—42no—
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C22×C22⋊D59C2311yescharacteristic
205C2×D4×D59—24no—
206C2×D4×D59—42no—
207C2×D4×D59—42no—
208C23×Dic59—42no—
209C23×Dic59—42no—
210C23×Dic59—42no—
211C23×Dic59C2311yescharacteristic
212C23×Dic59C2311yescharacteristic
213C23×Dic59C2311yescharacteristic
214C23×Dic59C2311yescharacteristic
215C23×Dic59C2311yescharacteristic
216C23×Dic59C2311yescharacteristic
217C23×Dic59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219C22×C4×D59C2311yescharacteristic
220C22×C4×D59C2311yescharacteristic
221#14273713—42no—
222#14273708—42no—
223#14273708—42no—
224#14273706—42no—
225#14273705—42no—
226#14273699—42no—
227#14273699—42no—
228#14273699—42no—
229#14273698—42no—
230#14273698—42no—
231#14273696—42no—
232#14273695—24no—
233#14273695—42no—
234#14273695—42no—
235#14273695—42no—
236C2×C4⋊Dic59C2311yescharacteristic
237C2×C4⋊Dic59C2311yescharacteristic
238C2×C4⋊Dic59C2311yescharacteristic
239C2×Dic59⋊C4C2311yescharacteristic
240C2×Dic59⋊C4C2311yescharacteristic
241C2×Dic59⋊C4C2311yescharacteristic
242C2×Dic59⋊C4C2311yescharacteristic
243C2×Dic59⋊C4C2311yescharacteristic
244C2×Dic59⋊C4C2311yescharacteristic
245C2×Dic59⋊C4C2311yescharacteristic
246C2×Dic59⋊C4C2311yescharacteristic
247C2×Dic59⋊C4C2311yescharacteristic
248C2×C22⋊Dic59C2311yescharacteristic
249C2×C22⋊Dic59C2311yescharacteristic
250C2×C22⋊Dic59C2311yescharacteristic
251C2×C22⋊Dic59C2311yescharacteristic
252C2×C22⋊Dic59C2311yescharacteristic
253C2×C22⋊Dic59C2311yescharacteristic
254C2×C22⋊Dic59C2311yescharacteristic
255C2×C22⋊Dic59C2311yescharacteristic
256C2×C22⋊Dic59C2311yescharacteristic
257C2×C22⋊Dic59C2311yescharacteristic
258C2×C22⋊Dic59C2311yescharacteristic
259C2×C22⋊Dic59C2311yescharacteristic
260C2×C22⋊Dic59C2311yescharacteristic
261C2×C22⋊Dic59C2311yescharacteristic
262C2×C22⋊Dic59C2311yescharacteristic
263C2×C22⋊Dic59C2311yescharacteristic
264C2×C22⋊Dic59C2311yescharacteristic
265C2×C22⋊Dic59C2311yescharacteristic
266C2×C22⋊Dic59C2311yescharacteristic
267C2×C22⋊Dic59C2311yescharacteristic
268C2×(C2×D59)⋊C4—42no—
269C2×(C2×D59)⋊C4—42no—
270C2×(C2×D59)⋊C4C2311yescharacteristic
271C2×(C2×D59)⋊C4C2311yescharacteristic
272C2×(C2×D59)⋊C4C2311yescharacteristic
273C2×(C2×D59)⋊C4C2311yescharacteristic
274C2×(C2×D59)⋊C4C2311yescharacteristic
275C2×(C2×D59)⋊C4C2311yescharacteristic
276C2×(C2×D59)⋊C4C2311yescharacteristic
277C2×(C2×D59)⋊C4C2311yescharacteristic
278C2×(C2×D59)⋊C4C2311yescharacteristic
279C2×(C2×D59)⋊C4C2311yescharacteristic
280C2×(C2×D59)⋊C4C2311yescharacteristic
281C2×(C2×D59)⋊C4C2311yescharacteristic
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×(C2×D59)⋊C4C2311yescharacteristic
284C2×(C2×D59)⋊C4C2311yescharacteristic
285C2×(C2×D59)⋊C4C2311yescharacteristic
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C2×(C2×D59)⋊C4C2311yescharacteristic
288C2×(C2×D59)⋊C4C2311yescharacteristic
289C2×(C2×D59)⋊C4C2311yescharacteristic
290C2×(C2×D59)⋊C4C2311yescharacteristic
291C2×(C2×D59)⋊C4C2311yescharacteristic
292C2×(C2×D59)⋊C4C2311yescharacteristic
293C2×(C2×D59)⋊C4C2311yescharacteristic
294C2×(C2×D59)⋊C4C2311yescharacteristic
295C22⋊C4×D59—42no—
296C2×C4×Dic59C2311yescharacteristic
297C2×C4×Dic59C2311yescharacteristic
298C59⋊#95C2311yescharacteristic
299C59⋊#95C2311yescharacteristic
300C59⋊#95C2311yescharacteristic
301C59⋊#95C2311yescharacteristic
302C59⋊#95C2311yescharacteristic
303C59⋊#95C2311yescharacteristic
304C59⋊#95C2311yescharacteristic
305C59⋊#95C2311yescharacteristic
306C59⋊#95C2311yescharacteristic
307C59⋊#95C2311yescharacteristic
308C59⋊#95C2311yescharacteristic
309C59⋊#95C2311yescharacteristic
310C59⋊#95C2311yescharacteristic
311C59⋊#95C2311yescharacteristic
312C59⋊#95C2311yescharacteristic
313C59⋊#95C2311yescharacteristic
314C59⋊#95C2311yescharacteristic
315C59⋊#95C2311yescharacteristic
316C59⋊#95C2311yescharacteristic
317C59⋊#95C2311yescharacteristic
318C59⋊#95C2311yescharacteristic
319C59⋊#95C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C25×C59C2311yescharacteristic
335C22×D4×C59C2311yescharacteristic
336C22×D4×C59C2311yescharacteristic
337C22×D4×C59C2311yescharacteristic
338C22×D4×C59C2311yescharacteristic
339C22×D4×C59C2311yescharacteristic
340C22×D4×C59C2311yescharacteristic
341C22×D4×C59C2311yescharacteristic
342C23×C4×C59C2311yescharacteristic
343C23×C4×C59C2311yescharacteristic
344C23×C4×C59C2311yescharacteristic
345#121×C59—42no—
346#121×C59—42no—
347#120×C59—42no—
348#120×C59—42no—
349C4×D4×C59—42no—
350C2×C4⋊C4×C59C2311yescharacteristic
351C2×C4⋊C4×C59C2311yescharacteristic
352C2×C4⋊C4×C59C2311yescharacteristic
353C2×C4⋊C4×C59C2311yescharacteristic
354C2×C22⋊C4×C59—42no—
355C2×C22⋊C4×C59C2311yescharacteristic
356C2×C22⋊C4×C59C2311yescharacteristic
357C2×C22⋊C4×C59C2311yescharacteristic
358C2×C22⋊C4×C59C2311yescharacteristic
359C2×C22⋊C4×C59C2311yescharacteristic
360C2×C22⋊C4×C59C2311yescharacteristic
361C2×C22⋊C4×C59C2311yescharacteristic
362C2×C22⋊C4×C59C2311yescharacteristic
363C2×C22⋊C4×C59C2311yescharacteristic
364C2×C22⋊C4×C59C2311yescharacteristic
365C2×C22⋊C4×C59C2311yescharacteristic
366C2×C22⋊C4×C59C2311yescharacteristic
367C2×C22⋊C4×C59C2311yescharacteristic
368C2×C22⋊C4×C59C2311yescharacteristic
369C2×C22⋊C4×C59C2311yescharacteristic
370C2×C42×C59C2311yescharacteristic
371#95×C59C2311yescharacteristic
372#95×C59C2311yescharacteristic
373#95×C59C2311yescharacteristic
374#95×C59C2311yescharacteristic
375C24×C59—22no—
376C24×C59—22no—
377C24×C59—22no—
378C24×C59—22no—
379C24×C59—22no—
380C24×C59—41no—
381C24×C59—41no—
382C24×C59C2411yescharacteristic
383C24×C59C2411yescharacteristic
384C24×C59C2411yescharacteristic
385C24×C59C2411yescharacteristic
386C24×C59C2411yescharacteristic
387C23×D59—22no—
388C23×D59—22no—
389C23×D59—22no—
390C23×D59—41no—
391C23×D59—41no—
392C23×D59—41no—
393C23×D59—41no—
394C23×D59—41no—
395C23×D59—41no—
396C23×D59—41no—
397C23×D59—41no—
398C23×D59—41no—
399C23×D59—41no—
400C23×D59#4114yes—
401C23×D59C2411yescharacteristic
402C23×D59C2411yescharacteristic
403C23×D59C2411yescharacteristic
404C2×D4×C59—22no—
405C2×D4×C59—22no—
406C2×D4×C59—22no—
407C2×D4×C59—22no—
408C2×D4×C59—22no—
409C2×D4×C59—22no—
410C2×D4×C59—22no—
411C2×D4×C59—22no—
412C2×D4×C59—22no—
413C2×D4×C59—22no—
414C2×D4×C59—41no—
415C2×D4×C59—41no—
416C2×D4×C59—41no—
417C2×D4×C59—41no—
418C2×D4×C59—41no—
419C2×D4×C59—41no—
420C2×D4×C59—41no—
421C2×D4×C59—41no—
422C2×D4×C59—41no—
423C2×D4×C59—41no—
424C2×D4×C59—41no—
425C22×C4×C59—22no—
426C22×C4×C59—22no—
427C22×C4×C59—41no—
428C22×C4×C59—41no—
429C22×C4×C59—41no—
430C22×C4×C59—41no—
431C22×C4×C59—41no—
432C22×C4×C59—41no—
433C22×C4×C59—41no—
434C22×C4×C59C2411yescharacteristic
435C22×C4×C59C2411yescharacteristic
436C22×C4×C59C2411yescharacteristic
437C22×C4×C59C2411yescharacteristic
438C22×C4×C59C2411yescharacteristic
439C22×C4×C59C2411yescharacteristic
440C22×C4×C59C2411yescharacteristic
441C22×C4×C59C2411yescharacteristic
442C22×C4×C59C2411yescharacteristic
443C22×C4×C59C2411yescharacteristic
444C2×C22⋊D59—22no—
445C2×C22⋊D59—22no—
446C2×C22⋊D59—22no—
447C2×C22⋊D59—22no—
448C2×C22⋊D59—22no—
449C2×C22⋊D59—22no—
450C2×C22⋊D59—22no—
451C2×C22⋊D59—22no—
452C2×C22⋊D59—22no—
453C2×C22⋊D59—22no—
454C2×C22⋊D59—22no—
455C2×C22⋊D59—22no—
456C2×C22⋊D59—22no—
457C2×C22⋊D59—22no—
458C2×C22⋊D59—22no—
459C2×C22⋊D59—22no—
460C2×C22⋊D59—22no—
461C2×C22⋊D59—41no—
462C2×C22⋊D59—41no—
463C2×C22⋊D59—41no—
464C2×C22⋊D59—41no—
465C2×C22⋊D59—41no—
466C2×C22⋊D59—41no—
467C2×C22⋊D59—41no—
468C2×C22⋊D59—41no—
469C2×C22⋊D59—41no—
470C2×C22⋊D59—41no—
471C2×C22⋊D59—41no—
472C2×C22⋊D59—41no—
473C2×C22⋊D59—41no—
474C2×C22⋊D59—41no—
475C2×C22⋊D59—41no—
476C2×C22⋊D59—41no—
477C2×C22⋊D59—416no—
478C22×Dic59—22no—
479C22×Dic59—22no—
480C22×Dic59—22no—
481C22×Dic59—22no—
482C22×Dic59—22no—
483C22×Dic59—22no—
484C22×Dic59—22no—
485C22×Dic59—22no—
486C22×Dic59—41no—
487C22×Dic59—41no—
488C22×Dic59—41no—
489C22×Dic59—41no—
490C22×Dic59—41no—
491C22×Dic59—41no—
492C22×Dic59—41no—
493C22×Dic59—41no—
494C22×Dic59—41no—
495C22×Dic59—41no—
496C22×Dic59—41no—
497C22×Dic59—41no—
498C22×Dic59—41no—
499C22×Dic59—416no—
500C22×Dic59C2411yescharacteristic
501C22×Dic59C2411yescharacteristic
502C22×Dic59C2411yescharacteristic
503C22×Dic59C2411yescharacteristic
504C22×Dic59C2411yescharacteristic
505C22×Dic59C2411yescharacteristic
506C22×Dic59C2411yescharacteristic
507C22×Dic59C2411yescharacteristic
508C22×Dic59C2411yescharacteristic
509C22×Dic59C2411yescharacteristic
510C22×Dic59C2411yescharacteristic
511C22×Dic59C2411yescharacteristic
512C22×Dic59C2411yescharacteristic
513D4×D59—416no—
514C2×D236—22no—
515C2×D236—41no—
516C2×D236—41no—
517C2×C4×D59—22no—
518C2×C4×D59—41no—
519C2×C4×D59—41no—
520C2×C4×D59—41no—
521C2×C4×D59—41no—
522C2×C4×D59—41no—
523C2×C4×D59—41no—
524C2×C4×D59—41no—
525C2×C4×D59—41no—
526C2×Dic118—41no—
527C2×Dic118—41no—
528C2×Dic118—41no—
529C4⋊C4×C59—41no—
530C4⋊C4×C59—41no—
531C4⋊C4×C59—41no—
532C4⋊C4×C59—41no—
533C22⋊C4×C59—22no—
534C22⋊C4×C59—22no—
535C22⋊C4×C59—22no—
536C22⋊C4×C59—22no—
537C22⋊C4×C59—41no—
538C22⋊C4×C59—41no—
539C22⋊C4×C59—41no—
540C22⋊C4×C59—41no—
541C22⋊C4×C59—41no—
542C22⋊C4×C59—41no—
543C22⋊C4×C59—41no—
544C22⋊C4×C59—41no—
545C22⋊C4×C59—41no—
546C22⋊C4×C59—41no—
547C22⋊C4×C59—41no—
548C42×C59—41no—
549C22⋊Dic59—22no—
550C22⋊Dic59—22no—
551C22⋊Dic59—22no—
552C22⋊Dic59—22no—
553C22⋊Dic59—22no—
554C22⋊Dic59—22no—
555C22⋊Dic59—41no—
556C22⋊Dic59—41no—
557C22⋊Dic59—41no—
558C22⋊Dic59—41no—
559C22⋊Dic59—41no—
560C22⋊Dic59—41no—
561C22⋊Dic59—41no—
562C22⋊Dic59—41no—
563C22⋊Dic59—41no—
564C22⋊Dic59—41no—
565C22⋊Dic59—41no—
566C22⋊Dic59—41no—
567C22⋊Dic59—41no—
568C22⋊Dic59—41no—
569(C2×D59)⋊C4—22no—
570(C2×D59)⋊C4—22no—
571(C2×D59)⋊C4—22no—
572(C2×D59)⋊C4—22no—
573(C2×D59)⋊C4—41no—
574(C2×D59)⋊C4—41no—
575(C2×D59)⋊C4—41no—
576(C2×D59)⋊C4—41no—
577(C2×D59)⋊C4—41no—
578(C2×D59)⋊C4—41no—
579(C2×D59)⋊C4—41no—
580(C2×D59)⋊C4—41no—
581(C2×D59)⋊C4—41no—
582(C2×D59)⋊C4—41no—
583(C2×D59)⋊C4—41no—
584(C2×D59)⋊C4—41no—
585(C2×D59)⋊C4—41no—
586(C2×D59)⋊C4—41no—
587(C2×D59)⋊C4—41no—
588(C2×D59)⋊C4—41no—
589(C2×D59)⋊C4—41no—
590(C2×D59)⋊C4—41no—
591(C2×D59)⋊C4—41no—
592(C2×D59)⋊C4—41no—
593(C2×D59)⋊C4—41no—
594C4⋊Dic59—41no—
595C4⋊Dic59—41no—
596C4⋊Dic59—41no—
597Dic59⋊C4—22no—
598Dic59⋊C4—22no—
599Dic59⋊C4—41no—
600Dic59⋊C4—41no—
601Dic59⋊C4—41no—
602Dic59⋊C4—41no—
603Dic59⋊C4—41no—
604Dic59⋊C4—41no—
605Dic59⋊C4—41no—
606C4×Dic59—41no—
607C4×Dic59—41no—
608C23×C59—21no—
609C23×C59—21no—
610C23×C59—21no—
611C23×C59—21no—
612C23×C59—28no—
613C23×C59—21no—
614C23×C59—21no—
615C23×C59—21no—
616C23×C59—21no—
617C23×C59—21no—
618C23×C59—21no—
619C23×C59—21no—
620C23×C59—21no—
621C23×C59—21no—
622C23×C59—21no—
623C23×C59—21no—
624C23×C59—21no—
625C23×C59—21no—
626C23×C59—21no—
627C23×C59—21no—
628C23×C59—21no—
629C23×C59—21no—
630C23×C59—21no—
631C23×C59—21no—
632C23×C59—21no—
633C23×C59—21no—
634C23×C59—21no—
635C23×C59—21no—
636C23×C59—21no—
637C23×C59—21no—
638C23×C59—21no—
639C23×C59—44no—
640C23×C59—44no—
641C23×C59—44no—
642C23×C59—44no—
643C23×C59—44no—
644C23×C59—44no—
645C23×C59C2×#4112yes—
646C23×C59H(5,𝔽2)12yes—
647C23×C59H(5,𝔽2)12yes—
648C23×C59H(5,𝔽2)12yes—
649C23×C59H(5,𝔽2)12yes—
650C23×C59C2511yescharacteristic
651C22×D59—21no—
652C22×D59—21no—
653C22×D59—21no—
654C22×D59—21no—
655C22×D59—21no—
656C22×D59—21no—
657C22×D59—21no—
658C22×D59—21no—
659C22×D59—21no—
660C22×D59—21no—
661C22×D59—21no—
662C22×D59—21no—
663C22×D59—28no—
664C22×D59—21no—
665C22×D59—21no—
666C22×D59—21no—
667C22×D59—21no—
668C22×D59—21no—
669C22×D59—21no—
670C22×D59—21no—
671C22×D59—44no—
672C22×D59—44no—
673C22×D59—44no—
674C22×D59—82no—
675C22×D59—82no—
676C22×D59—82no—
677C22×D59—82no—
678C22×D59—82no—
679C22×D59—82no—
680C22×D59—82no—
681C22×D59—82no—
682C22×D59—82no—
683C22×D59—82no—
684C22×D59C2×#4112yes—
685C22×D59C2×#4112yes—
686D4×C59—44no—
687D4×C59—44no—
688D4×C59—82no—
689D4×C59—82no—
690D4×C59—82no—
691D4×C59—82no—
692D4×C59—82no—
693C2×C4×C59—21no—
694C2×C4×C59—21no—
695C2×C4×C59—21no—
696C2×C4×C59—21no—
697C2×C4×C59—21no—
698C2×C4×C59—21no—
699C2×C4×C59—21no—
700C2×C4×C59—21no—
701C2×C4×C59—21no—
702C2×C4×C59—21no—
703C2×C4×C59—21no—
704C2×C4×C59—21no—
705C2×C4×C59—21no—
706C2×C4×C59—21no—
707C2×C4×C59—21no—
708C2×C4×C59—21no—
709C2×C4×C59—21no—
710C2×C4×C59—21no—
711C2×C4×C59—21no—
712C2×C4×C59—21no—
713C2×C4×C59—21no—
714C2×C4×C59—21no—
715C2×C4×C59—21no—
716C2×C4×C59—21no—
717C2×C4×C59—21no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
723C2×C4×C59—82no—
724C2×C4×C59—82no—
725C2×C4×C59—82no—
726C22⋊D59—44no—
727C22⋊D59—44no—
728C22⋊D59—44no—
729C22⋊D59—44no—
730C22⋊D59—44no—
731C22⋊D59—44no—
732C22⋊D59—82no—
733C22⋊D59—82no—
734C22⋊D59—82no—
735C22⋊D59—82no—
736C22⋊D59—82no—
737C2×Dic59—21no—
738C2×Dic59—21no—
739C2×Dic59—21no—
740C2×Dic59—21no—
741C2×Dic59—21no—
742C2×Dic59—21no—
743C2×Dic59—21no—
744C2×Dic59—21no—
745C2×Dic59—21no—
746C2×Dic59—21no—
747C2×Dic59—21no—
748C2×Dic59—21no—
749C2×Dic59—21no—
750C2×Dic59—21no—
751C2×Dic59—21no—
752C2×Dic59—21no—
753C2×Dic59—21no—
754C2×Dic59—21no—
755C2×Dic59—21no—
756C2×Dic59—21no—
757C2×Dic59—21no—
758C2×Dic59—21no—
759C2×Dic59—21no—
760C2×Dic59—21no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—21no—
771C2×Dic59—21no—
772C2×Dic59—21no—
773C2×Dic59—21no—
774C2×Dic59—21no—
775C2×Dic59—44no—
776C2×Dic59—44no—
777C2×Dic59—44no—
778C2×Dic59—44no—
779C2×Dic59—44no—
780C2×Dic59—44no—
781C2×Dic59—44no—
782C2×Dic59H(5,𝔽2)12yes—
783D236—44no—
784C4×D59—44no—
785C4×D59—82no—
786C4×D59—82no—
787Dic118—82no—
788#36776—591nomaximal, Sylow
789C22×C59—22no—
790C22×C59—22no—
791C22×C59—22no—
792C22×C59—22no—
793C22×C59—22no—
794C22×C59—22no—
795C22×C59—22no—
796C22×C59—22no—
797C22×C59—22no—
798C22×C59—22no—
799C22×C59—22no—
800C22×C59—22no—
801C22×C59—416no—
802C22×C59—41no—
803C22×C59—41no—
804C22×C59—41no—
805C22×C59—41no—
806C22×C59—41no—
807C22×C59—41no—
808C22×C59—41no—
809C22×C59—41no—
810C22×C59—41no—
811C22×C59—41no—
812C22×C59—41no—
813C22×C59—41no—
814C22×C59—41no—
815C22×C59—41no—
816C22×C59—41no—
817C22×C59—41no—
818C22×C59—41no—
819C22×C59—41no—
820C22×C59—41no—
821C22×C59—41no—
822C22×C59—41no—
823C22×C59—41no—
824C22×C59#53814yes—
825C22×C59C22×#4111yescharacteristic
826C22×C59C2×H(5,𝔽2)11yescharacteristic
827C22×C59C2×H(5,𝔽2)11yescharacteristic
828C22×C59C2×H(5,𝔽2)11yescharacteristic
829C22×C59C2×H(5,𝔽2)11yescharacteristic
830C22×C59C2×H(5,𝔽2)11yescharacteristic
831C22×C59#58511yescharacteristic
832C2×D59—22no—
833C2×D59—22no—
834C2×D59—22no—
835C2×D59—22no—
836C2×D59—22no—
837C2×D59—22no—
838C2×D59—41no—
839C2×D59—41no—
840C2×D59—41no—
841C2×D59—41no—
842C2×D59—41no—
843C2×D59—41no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—41no—
850C2×D59—41no—
851C2×D59—41no—
852C2×D59—41no—
853C2×D59—88no—
854C2×D59—88no—
855C4×C59—41no—
856C4×C59—41no—
857C4×C59—41no—
858C4×C59—41no—
859C4×C59—41no—
860C4×C59—41no—
861C4×C59—41no—
862C4×C59—41no—
863C4×C59—41no—
864C4×C59—41no—
865Dic59—22no—
866Dic59—41no—
867Dic59—41no—
868Dic59—41no—
869Dic59—41no—
870Dic59—41no—
871Dic59—41no—
872Dic59—41no—
873Dic59—41no—
874Dic59—41no—
875Dic59—41no—
876Dic59—41no—
877Dic59—41no—
878#2849—591no—
879#2847—591no—
880#2778—591no—
881#2778—591no—
882#2760—591no—
883#2750—591no—
884#2749—591no—
885#2749—591no—
886#2743—591no—
887#2703—591no—
888#2697—591no—
889#2696—591no—
890#2688—591no—
891#2688—591no—
892#2684—591no—
893#2678—591no—
894#2676—591no—
895#2668—591no—
896#2643—591no—
897#2639—591no—
898#2510—591no—
899#2472—591no—
900#2444—591no—
901#2437—591no—
902#2424D5911yescharacteristic, complemented
903#2410—591no—
904#2410—591no—
905#2403—591no—
906#2321—591no—
907#2308—591no—
908C2×#386—591no—
909C2×C59—24no—
910C2×C59—42no—
911C2×C59—42no—
912C2×C59—81no—
913C2×C59—81no—
914C2×C59C2×#53811yescharacteristic
915C2×C59#349011yescharacteristic
916C2×C59#350511yescharacteristic
917C2×C59#353211yescharacteristic
918C2×C59#353411yescharacteristic
919C2×C59#353411yescharacteristic
920C2×C59#353711yescharacteristic
921D59—42no—
922D59—42no—
923D59—81no—
924C23×D4—591no—
925C23×D4—591no—
926C24×C4—591no—
927C2×#124—591no—
928C2×#123—591no—
929C2×#123—591no—
930C2×C22⋊Q8—591no—
931C2×C22⋊Q8—591no—
932C2×#121—591no—
933C2×#121—591no—
934C2×#121—591no—
935C2×#121—591no—
936C2×#121—591no—
937C2×#121C2×D5911yescharacteristic
938C2×#121C2×D5911yescharacteristic, complemented
939C2×#120—591no—
940C2×#120—591no—
941C2×#120—591no—
942C2×#120—591no—
943C2×#120—591no—
944C2×#120C2×D5911yescharacteristic
945C2×#120C2×D5911yescharacteristic, complemented
946C2×C4×D4C2×D5911yescharacteristic, complemented
947C22×C22⋊C4—591no—
948C22×C22⋊C4—591no—
949C22×C22⋊C4—591no—
950C22×C22⋊C4C2×D5911yescharacteristic, complemented
951#401—591no—
952#401—591no—
953#400—591no—
954#400—591no—
955#400—591no—
956#400—591no—
957#400—591no—
958#400—591no—
959#400—591no—
960#399—591no—
961#397—591no—
962#397—591no—
963#397—591no—
964#397—591no—
965#397—591no—
966#397—591no—
967#397—591no—
968#397—591no—
969#397—591no—
970#397—591no—
971#396—591no—
972#396—591no—
973#396—591no—
974#396C2×D5911yescharacteristic, complemented
975#394—591no—
976#394—591no—
977#394—591no—
978#394—591no—
979#394—591no—
980#394—591no—
981#394—591no—
982#394—591no—
983#394—591no—
984#394C2×D5911yescharacteristic, complemented
985#394C2×D5911yescharacteristic, complemented
986#393—591no—
987#393—591no—
988#393—591no—
989#393—591no—
990#392—591no—
991#392—591no—
992#392—591no—
993#392—591no—
994#392—591no—
995#392—591no—
996#392—591no—
997#392—591no—
998#392C2×D5911yescharacteristic, complemented
999#390—591no—
1000#390—591no—
1001#390—591no—
1002#390C2×D5911yescharacteristic, complemented
1003#388—591no—
1004#388—591no—
1005#388—591no—
1006#388—591no—
1007#388—591no—
1008#388—591no—
1009#388—591no—
1010#388—591no—
1011#388—591no—
1012#388C2×D5911yescharacteristic, complemented
1013#387—591no—
1014#387—591no—
1015#386—591no—
1016#386—591no—
1017#386—591no—
1018#386—591no—
1019#386—591no—
1020#386—591no—
1021#386—591no—
1022#386—591no—
1023#386—591no—
1024#386—591no—
1025#386—591no—
1026#386—591no—
1027#386—591no—
1028#386—591no—
1029#386—591no—
1030#386—591no—
1031#386—591no—
1032#386—591no—
1033#386—591no—
1034#386—591no—
1035#386—591no—
1036#386—591no—
1037#386—591no—
1038#386—591no—
1039#386—591no—
1040#386—591no—
1041#386—591no—
1042#386—591no—
1043#386—591no—
1044#386—591no—
1045#386—591no—
1046#386—591no—
1047#386—591no—
1048#386—591no—
1049#386—591no—
1050#386C2×D5911yescharacteristic
1051#386C2×D5911yescharacteristic, complemented
1052#385—591no—
1053#385—591no—
1054#385—591no—
1055#385—591no—
1056#385—591no—
1057#385—591no—
1058#385—591no—
1059#385—591no—
1060#385C2×D5911yescharacteristic, complemented
1061#383—591no—
1062#381—591no—
1063#381—591no—
1064#381—591no—
1065#381—591no—
1066#381—591no—
1067#380—591no—
1068#380—591no—
1069#380—591no—
1070#380—591no—
1071#379—591no—
1072#379—591no—
1073#379—591no—
1074#379—591no—
1075#379—591no—
1076C4×C22⋊C4—591no—
1077C2×#95—591no—
1078C2×#95—591no—
1079C59#3677611yescharacteristic, complemented, Sylow
1080C25—591no—
1081C25—591no—
1082C25C22×D5911yescharacteristic
1083C22×Q8—591no—
1084C22×D4—591no—
1085C22×D4—591no—
1086C22×D4—591no—
1087C22×D4—591no—
1088C22×D4—591no—
1089C22×D4—591no—
1090C22×D4—591no—
1091C22×D4—591no—
1092C22×D4—591no—
1093C22×D4—591no—
1094C22×D4—591no—
1095C22×D4—591no—
1096C22×D4—1184no—
1097C22×D4—1184no—
1098C22×D4—2362no—
1099C22×D4—2362no—
1100C22×D4—2362no—
1101C22×D4—2362no—
1102C22×D4C22×D5911yescharacteristic
1103C22×D4C22×D5911yescharacteristic
1104C22×D4C22×D5911yescharacteristic
1105C22×D4C22×D5911yescharacteristic
1106C22×D4C22×D5911yescharacteristic
1107C22×D4C22×D5911yescharacteristic
1108C22×D4C22×D5911yescharacteristic
1109C23×C4—591no—
1110C23×C4—591no—
1111C23×C4—591no—
1112C23×C4—591no—
1113C23×C4—591no—
1114C23×C4—591no—
1115C23×C4—591no—
1116C23×C4—591no—
1117C23×C4—591no—
1118C23×C4—591no—
1119C23×C4—2362no—
1120C23×C4—2362no—
1121C23×C4—2362no—
1122C23×C4C22×D5911yescharacteristic
1123C23×C4C22×D5911yescharacteristic
1124C23×C4C22×D5911yescharacteristic
1125#124—2362no—
1126#123—2362no—
1127#123—2362no—
1128C22⋊Q8—2362no—
1129C22⋊Q8—2362no—
1130#121—42no—
1131#121—42no—
1132#121—2362no—
1133#121—2362no—
1134#121—2362no—
1135#121—2362no—
1136#121—2362no—
1137#120—42no—
1138#120—42no—
1139#120—1184no—
1140#120—2362no—
1141#120—2362no—
1142#120—2362no—
1143#120—2362no—
1144C4×D4—42no—
1145C2×C4⋊C4—591no—
1146C2×C4⋊C4—591no—
1147C2×C4⋊C4—591no—
1148C2×C4⋊C4—591no—
1149C2×C4⋊C4—591no—
1150C2×C4⋊C4—591no—
1151C2×C4⋊C4—591no—
1152C2×C4⋊C4—591no—
1153C2×C4⋊C4—591no—
1154C2×C4⋊C4—591no—
1155C2×C4⋊C4—591no—
1156C2×C4⋊C4—591no—
1157C2×C4⋊C4C22×D5911yescharacteristic
1158C2×C4⋊C4C22×D5911yescharacteristic
1159C2×C4⋊C4C22×D5911yescharacteristic
1160C2×C4⋊C4C22×D5911yescharacteristic
1161C2×C22⋊C4—42no—
1162C2×C22⋊C4—591no—
1163C2×C22⋊C4—591no—
1164C2×C22⋊C4—591no—
1165C2×C22⋊C4—591no—
1166C2×C22⋊C4—591no—
1167C2×C22⋊C4—591no—
1168C2×C22⋊C4—591no—
1169C2×C22⋊C4—591no—
1170C2×C22⋊C4—591no—
1171C2×C22⋊C4—591no—
1172C2×C22⋊C4—591no—
1173C2×C22⋊C4—591no—
1174C2×C22⋊C4—591no—
1175C2×C22⋊C4—591no—
1176C2×C22⋊C4—591no—
1177C2×C22⋊C4—591no—
1178C2×C22⋊C4—591no—
1179C2×C22⋊C4—591no—
1180C2×C22⋊C4—591no—
1181C2×C22⋊C4—591no—
1182C2×C22⋊C4—591no—
1183C2×C22⋊C4—591no—
1184C2×C22⋊C4—591no—
1185C2×C22⋊C4—591no—
1186C2×C22⋊C4—591no—
1187C2×C22⋊C4—591no—
1188C2×C22⋊C4—591no—
1189C2×C22⋊C4—591no—
1190C2×C22⋊C4—591no—
1191C2×C22⋊C4—591no—
1192C2×C22⋊C4—591no—
1193C2×C22⋊C4—591no—
1194C2×C22⋊C4—591no—
1195C2×C22⋊C4—591no—
1196C2×C22⋊C4—591no—
1197C2×C22⋊C4—591no—
1198C2×C22⋊C4—591no—
1199C2×C22⋊C4—591no—
1200C2×C22⋊C4—591no—
1201C2×C22⋊C4—591no—
1202C2×C22⋊C4—591no—
1203C2×C22⋊C4—591no—
1204C2×C22⋊C4—591no—
1205C2×C22⋊C4—591no—
1206C2×C22⋊C4—591no—
1207C2×C22⋊C4—2362no—
1208C2×C22⋊C4—2362no—
1209C2×C22⋊C4—2362no—
1210C2×C22⋊C4C22×D5911yescharacteristic
1211C2×C22⋊C4C22×D5911yescharacteristic
1212C2×C22⋊C4C22×D5911yescharacteristic
1213C2×C22⋊C4C22×D5911yescharacteristic
1214C2×C22⋊C4C22×D5911yescharacteristic
1215C2×C22⋊C4C22×D5911yescharacteristic
1216C2×C22⋊C4C22×D5911yescharacteristic
1217C2×C22⋊C4C22×D5911yescharacteristic
1218C2×C22⋊C4C22×D5911yescharacteristic
1219C2×C22⋊C4C22×D5911yescharacteristic
1220C2×C22⋊C4C22×D5911yescharacteristic
1221C2×C22⋊C4C22×D5911yescharacteristic
1222C2×C22⋊C4C22×D5911yescharacteristic
1223C2×C22⋊C4C22×D5911yescharacteristic
1224C2×C22⋊C4C22×D5911yescharacteristic
1225C2×C42—591no—
1226C2×C42—591no—
1227C2×C42C22×D5911yescharacteristic
1228#95—591no—
1229#95—591no—
1230#95—591no—
1231#95—591no—
1232#95—591no—
1233#95—591no—
1234#95—591no—
1235#95—591no—
1236#95—591no—
1237#95—591no—
1238#95—591no—
1239#95—591no—
1240#95—591no—
1241#95—591no—
1242#95—591no—
1243#95—591no—
1244#95—591no—
1245#95—591no—
1246#95—591no—
1247#95—591no—
1248#95—591no—
1249#95—591no—
1250#95—591no—
1251#95—591no—
1252#95—591no—
1253#95—591no—
1254#95—591no—
1255#95—591no—
1256#95—591no—
1257#95—591no—
1258#95—591no—
1259#95—591no—
1260#95—591no—
1261#95—591no—
1262#95—591no—
1263#95—591no—
1264#95C22×D5911yescharacteristic
1265#95C22×D5911yescharacteristic
1266#95C22×D5911yescharacteristic
1267#95C22×D5911yescharacteristic
1268C24—22no—
1269C24—22no—
1270C24—22no—
1271C24—22no—
1272C24—22no—
1273C24—41no—
1274C24—41no—
1275C24—591no—
1276C24—591no—
1277C24—594no—
1278C24—591no—
1279C24—1182no—
1280C24—1182no—
1281C24—1182no—
1282C24—2361no—
1283C24—2361no—
1284C24—2361no—
1285C24—2361no—
1286C24—2361no—
1287C24—2361no—
1288C24—2361no—
1289C24—2361no—
1290C24—2361no—
1291C24—2361no—
1292C24C23×D5911yescharacteristic
1293C24C23×D5911yescharacteristic
1294C24C23×D5911yescharacteristic
1295C24C23×D5911yescharacteristic
1296C24C23×D5911yescharacteristic
1297C2×Q8—2361no—
1298C2×Q8—2361no—
1299C2×Q8—2361no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—1182no—
1322C2×D4—1182no—
1323C2×D4—1182no—
1324C2×D4—1182no—
1325C2×D4—1182no—
1326C2×D4—1182no—
1327C2×D4—1182no—
1328C2×D4—1182no—
1329C2×D4—1182no—
1330C2×D4—1182no—
1331C2×D4—1182no—
1332C2×D4—1182no—
1333C2×D4—1182no—
1334C2×D4—1182no—
1335C2×D4—1182no—
1336C2×D4—1182no—
1337C2×D4—1182no—
1338C2×D4—1182no—
1339C2×D4—2361no—
1340C2×D4—2361no—
1341C2×D4—2361no—
1342C2×D4—2361no—
1343C2×D4—2361no—
1344C2×D4—2361no—
1345C2×D4—2361no—
1346C2×D4—2361no—
1347C2×D4—2361no—
1348C2×D4—2361no—
1349C2×D4—2361no—
1350C2×D4—2361no—
1351C2×D4—2361no—
1352C2×D4—2361no—
1353C2×D4—2361no—
1354C2×D4—2361no—
1355C2×D4—2361no—
1356C2×D4—2361no—
1357C2×D4—23616no—
1358C2×D4—23616no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—41no—
1366C22×C4—41no—
1367C22×C4—41no—
1368C22×C4—591no—
1369C22×C4—591no—
1370C22×C4—591no—
1371C22×C4—591no—
1372C22×C4—591no—
1373C22×C4—591no—
1374C22×C4—591no—
1375C22×C4—591no—
1376C22×C4—591no—
1377C22×C4—591no—
1378C22×C4—591no—
1379C22×C4—591no—
1380C22×C4—591no—
1381C22×C4—1182no—
1382C22×C4—1182no—
1383C22×C4—1182no—
1384C22×C4—1182no—
1385C22×C4—1182no—
1386C22×C4—1182no—
1387C22×C4—1182no—
1388C22×C4—1182no—
1389C22×C4—1182no—
1390C22×C4—2361no—
1391C22×C4—2361no—
1392C22×C4—2361no—
1393C22×C4—2361no—
1394C22×C4—2361no—
1395C22×C4—2361no—
1396C22×C4—2361no—
1397C22×C4—2361no—
1398C22×C4—2361no—
1399C22×C4—2361no—
1400C22×C4—2361no—
1401C22×C4—2361no—
1402C22×C4—2361no—
1403C22×C4—2361no—
1404C22×C4—2361no—
1405C22×C4—2361no—
1406C22×C4—2361no—
1407C22×C4—2361no—
1408C22×C4—2361no—
1409C22×C4—2361no—
1410C22×C4—2361no—
1411C22×C4—23616no—
1412C22×C4C23×D5911yescharacteristic
1413C22×C4C23×D5911yescharacteristic
1414C22×C4C23×D5911yescharacteristic
1415C22×C4C23×D5911yescharacteristic
1416C22×C4C23×D5911yescharacteristic
1417C22×C4C23×D5911yescharacteristic
1418C22×C4C23×D5911yescharacteristic
1419C22×C4C23×D5911yescharacteristic
1420C22×C4C23×D5911yescharacteristic
1421C22×C4C23×D5911yescharacteristic
1422C4⋊C4—41no—
1423C4⋊C4—41no—
1424C4⋊C4—41no—
1425C4⋊C4—41no—
1426C4⋊C4—1182no—
1427C4⋊C4—1182no—
1428C4⋊C4—2361no—
1429C4⋊C4—2361no—
1430C4⋊C4—2361no—
1431C4⋊C4—2361no—
1432C4⋊C4—2361no—
1433C4⋊C4—2361no—
1434C4⋊C4—2361no—
1435C4⋊C4—2361no—
1436C4⋊C4—2361no—
1437C4⋊C4—2361no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—1182no—
1454C22⋊C4—1182no—
1455C22⋊C4—1182no—
1456C22⋊C4—1182no—
1457C22⋊C4—1182no—
1458C22⋊C4—1182no—
1459C22⋊C4—1182no—
1460C22⋊C4—1182no—
1461C22⋊C4—1182no—
1462C22⋊C4—1182no—
1463C22⋊C4—2361no—
1464C22⋊C4—2361no—
1465C22⋊C4—2361no—
1466C22⋊C4—2361no—
1467C22⋊C4—2361no—
1468C22⋊C4—2361no—
1469C22⋊C4—2361no—
1470C22⋊C4—2361no—
1471C22⋊C4—2361no—
1472C22⋊C4—2361no—
1473C22⋊C4—2361no—
1474C22⋊C4—2361no—
1475C22⋊C4—2361no—
1476C22⋊C4—2361no—
1477C22⋊C4—2361no—
1478C22⋊C4—2361no—
1479C22⋊C4—2361no—
1480C22⋊C4—2361no—
1481C22⋊C4—2361no—
1482C22⋊C4—2361no—
1483C22⋊C4—2361no—
1484C22⋊C4—2361no—
1485C22⋊C4—2361no—
1486C22⋊C4—2361no—
1487C22⋊C4—2361no—
1488C22⋊C4—2361no—
1489C22⋊C4—2361no—
1490C22⋊C4—2361no—
1491C22⋊C4—2361no—
1492C22⋊C4—2361no—
1493C22⋊C4—2361no—
1494C22⋊C4—2361no—
1495C22⋊C4—2361no—
1496C22⋊C4—2361no—
1497C22⋊C4—2361no—
1498C42—41no—
1499C42—2361no—
1500C42—2361no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—28no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—44no—
1533C23—44no—
1534C23—44no—
1535C23—44no—
1536C23—44no—
1537C23—44no—
1538C23—592no—
1539C23—592no—
1540C23—1188no—
1541C23—1181no—
1542C23—1181no—
1543C23—1181no—
1544C23—1181no—
1545C23—1181no—
1546C23—1181no—
1547C23—1181no—
1548C23—1181no—
1549C23—1181no—
1550C23—1181no—
1551C23—1181no—
1552C23—1181no—
1553C23—1181no—
1554C23—1181no—
1555C23—1181no—
1556C23—1181no—
1557C23—1181no—
1558C23—1181no—
1559C23—1181no—
1560C23—4722no—
1561C23—4722no—
1562C23—4722no—
1563C23—4722no—
1564C23—4722no—
1565C23—4722no—
1566C23—4722no—
1567C23—4722no—
1568C23—4722no—
1569C23—4722no—
1570C23—2364no—
1571C23—2364no—
1572C23—2364no—
1573C23#41×D5912yes—
1574C23#1427377212yes—
1575C23#1427377212yes—
1576C23#1427377212yes—
1577C23#1427377312yes—
1578C23C24×D5911yescharacteristic
1579Q8—4722no—
1580D4—44no—
1581D4—44no—
1582D4—82no—
1583D4—82no—
1584D4—82no—
1585D4—82no—
1586D4—82no—
1587D4—4722no—
1588D4—4722no—
1589D4—4722no—
1590D4—4722no—
1591D4—4722no—
1592D4—2364no—
1593D4—2364no—
1594D4—2364no—
1595D4—2364no—
1596D4—2364no—
1597D4—2364no—
1598D4—2364no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—82no—
1630C2×C4—82no—
1631C2×C4—82no—
1632C2×C4—592no—
1633C2×C4—1181no—
1634C2×C4—1181no—
1635C2×C4—1181no—
1636C2×C4—1181no—
1637C2×C4—1181no—
1638C2×C4—1181no—
1639C2×C4—1181no—
1640C2×C4—1181no—
1641C2×C4—1181no—
1642C2×C4—1181no—
1643C2×C4—1181no—
1644C2×C4—1181no—
1645C2×C4—1181no—
1646C2×C4—1181no—
1647C2×C4—1181no—
1648C2×C4—1181no—
1649C2×C4—1181no—
1650C2×C4—1181no—
1651C2×C4—1181no—
1652C2×C4—1181no—
1653C2×C4—1181no—
1654C2×C4—1181no—
1655C2×C4—1181no—
1656C2×C4—1181no—
1657C2×C4—1181no—
1658C2×C4—1181no—
1659C2×C4—1181no—
1660C2×C4—1181no—
1661C2×C4—1181no—
1662C2×C4—1181no—
1663C2×C4—1181no—
1664C2×C4—1181no—
1665C2×C4—1181no—
1666C2×C4—1181no—
1667C2×C4—1181no—
1668C2×C4—1181no—
1669C2×C4—1181no—
1670C2×C4—1181no—
1671C2×C4—4722no—
1672C2×C4—4722no—
1673C2×C4—2364no—
1674C2×C4—2364no—
1675C2×C4—2364no—
1676C2×C4—2364no—
1677C2×C4—2364no—
1678C2×C4—2364no—
1679C2×C4—2364no—
1680C2×C4—2364no—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—416no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—1182no—
1717C22—1182no—
1718C22—1182no—
1719C22—1182no—
1720C22—1182no—
1721C22—1182no—
1722C22—4728no—
1723C22—4728no—
1724C22—2361no—
1725C22—2361no—
1726C22—2361no—
1727C22—2361no—
1728C22—2361no—
1729C22—2361no—
1730C22—2361no—
1731C22—2361no—
1732C22—2361no—
1733C22—2361no—
1734C22—2361no—
1735C22—2361no—
1736C22—2361no—
1737C22—2361no—
1738C22—2361no—
1739C22#1683798414yes—
1740C22C2×#41×D5911yescharacteristic
1741C22H(5,𝔽2)×D5911yescharacteristic
1742C22C2×#1427377211yescharacteristic
1743C22C2×#1427377211yescharacteristic
1744C22C2×#1427377211yescharacteristic
1745C22C2×#1427377311yescharacteristic
1746C22#1683823711yescharacteristic
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—1182no—
1758C4—2361no—
1759C4—2361no—
1760C4—2361no—
1761C4—2361no—
1762C4—2361no—
1763C4—2361no—
1764C4—2361no—
1765C4—2361no—
1766C4—2361no—
1767C4—2361no—
1768C4—2361no—
1769C4—2361no—
1770C2—24no—
1771C2—42no—
1772C2—42no—
1773C2—81no—
1774C2—81no—
1775C2—4721no—
1776C2—2362no—
1777C2—2362no—
1778C2C2×#1683798411yescharacteristic
1779C2#2143777911yescharacteristic
1780C2#2143793411yescharacteristic
1781C2#2143824511yescharacteristic
1782C2#2143827411yescharacteristic
1783C2#2143828211yescharacteristic
1784C2#2143832611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2424C2
hypercenter#2424D59
hypocenterC59#36776
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. #21432386C2semidirect
2. #21432376C2semidirect
3. #21431719C2semidirect
4. #21431709C2semidirect
5. #21431472C2semidirect
6. #21431329C2semidirect
7. #21431325C2semidirect
8. #21431312C2semidirect
9. #21431241C2semidirect
10. #21430746C2semidirect
11. #21430658C2semidirect
12. #21430641C2semidirect
13. #21430530C2semidirect
14. #21430528C2semidirect
15. #21430471C2semidirect
16. #21430423C2semidirect
17. #21430399C2semidirect
18. #21430299C2semidirect
19. #21430052C2semidirect
20. #21430029C2semidirect
21. #21428658C2semidirect
22. #21428216C2semidirect
23. #21427840C2semidirect
24. #21427761C2semidirect
25. #21427467C2semidirect
26. #21427466C2semidirect
27. #21427407C2semidirect
28. #21426750C2semidirect
29. #21426670C2semidirect
30. C2×#16837279C2semidirect
31. C59×#2424C2semidirect
34. C24×Dic59C22semidirect
35. C2×#14273713C22semidirect
36. C2×#14273708C22semidirect
37. C2×#14273708C22semidirect
38. C2×#14273706C22semidirect
39. C2×#14273705C22semidirect
41. C2×#14273699C22semidirect
42. C2×#14273699C22semidirect
43. C2×#14273698C22semidirect
44. C2×#14273698C22semidirect
49. C2×#14273695C22semidirect
53. C59⋊#401C22semidirect
54. C59⋊#401C22semidirect
55. #16837344C22semidirect
56. #16837342C22semidirect
57. #16837341C22semidirect
58. #16837340C22semidirect
59. #16837340C22semidirect
60. #16837340C22semidirect
61. #16837340C22semidirect
62. #16837337C22semidirect
63. #16837331C22semidirect
64. #16837330C22semidirect
65. #16837330C22semidirect
66. #16837330C22semidirect
67. #16837329C22semidirect
68. #16837328C22semidirect
69. #16837328C22semidirect
70. #16837327C22semidirect
71. #16837327C22semidirect
72. #16837327C22semidirect
73. #16837326C22semidirect
74. #16837324C22semidirect
75. #16837324C22semidirect
76. #16837319C22semidirect
79. #16837318C22semidirect
80. #16837317C22semidirect
81. #16837317C22semidirect
82. #16837317C22semidirect
83. #16837316C22semidirect
84. #16837316C22semidirect
85. #16837315C22semidirect
86. #16837314C22semidirect
87. #16837314C22semidirect
88. #16837314C22semidirect
91. #16837311C22semidirect
96. #16837310C22semidirect
97. #16837302C22semidirect
98. #16837302C22semidirect
99. #16837302C22semidirect
100. #16837295C22semidirect
101. #16837295C22semidirect
102. #16837293C22semidirect
103. #16837293C22semidirect
104. #16837293C22semidirect
105. #16837292C22semidirect
106. #16837292C22semidirect
107. #16837290C22semidirect
108. #16837290C22semidirect
109. #16837289C22semidirect
110. #16837286C22semidirect
114. #16837282C22semidirect
115. #16837282C22semidirect
116. #16837282C22semidirect
117. #16837282C22semidirect
118. #16837282C22semidirect
119. #16837282C22semidirect
122. #16837281C22semidirect
123. #16837281C22semidirect
124. #16837281C22semidirect
125. #16837280C22semidirect
126. #16837280C22semidirect
133. #16837279C22semidirect
134. #16837279C22semidirect
135. #16837279C22semidirect
136. #16837279C22semidirect
137. #16837279C22semidirect
138. #16837279C22semidirect
141. #16837278C22semidirect
142. #16837278C22semidirect
143. #16837278C22semidirect
144. #16837278C22semidirect
145. #16837278C22semidirect
146. #16837277C22semidirect
147. #16837276C22semidirect
148. #16837274C22semidirect
149. #16837274C22semidirect
150. #16837274C22semidirect
151. #16837274C22semidirect
152. #16837273C22semidirect
153. #16837273C22semidirect
154. #16837269C22semidirect
155. #16837265C22semidirect
156. #16837264C22semidirect
157. #16837264C22semidirect
158. #16837263C22semidirect
159. #16837263C22semidirect
160. #16837261C22semidirect
161. #16837260C22semidirect
162. #16837260C22semidirect
163. #16837260C22semidirect
164. #16837258C22semidirect
166. #16837257C22semidirect
167. #16837257C22semidirect
168. #16837257C22semidirect
169. C4×C22⋊Dic59C22semidirect
170. C2×C59⋊#95C22semidirect
171. C2×C59⋊#95C22semidirect
173. C2×#121×C59C22semidirect
175. C2×#120×C59C22semidirect
176. C2×C4×D4×C59C22semidirect
177. C22×C22⋊C4×C59C22semidirect
178. C59×#396C22semidirect
179. C59×#394C22semidirect
180. C59×#394C22semidirect
181. C59×#392C22semidirect
182. C59×#390C22semidirect
183. C59×#388C22semidirect
185. C59×#386C22semidirect
186. C59×#385C22semidirect
902. #2424D59semidirect
938. C2×#121C2×D59semidirect
945. C2×#120C2×D59semidirect
946. C2×C4×D4C2×D59semidirect
950. C22×C22⋊C4C2×D59semidirect
974. #396C2×D59semidirect
984. #394C2×D59semidirect
985. #394C2×D59semidirect
998. #392C2×D59semidirect
1002. #390C2×D59semidirect
1012. #388C2×D59semidirect
1051. #386C2×D59semidirect
1060. #385C2×D59semidirect
1079. C59#36776semidirect

Maximal subgroups

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

subgroupindex
#214323862
#214323762
#214317192
#214317092
#214314722
#214313292
#214313252
#214313122
#214312412
#214307462
#214306582
#214306412
#214305302
#214305282
#214304712
#214304232
#214303992
#214302992
#214300522
#214300292
#214286582
#214282162
#214278402
#214277612
#214274672
#214274662
#214274072
#214267502
#214266702
C2×#168372792
C59×#24242
#3677659