Finite Group Databasebeta

← #28796550

Subgroups — #28796550

Order 15104.

2210 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432381C211yesmaximal, characteristic, complemented
2#21432376C211yesmaximal, characteristic, complemented
3#21431951C211yesmaximal, characteristic, complemented
4#21431759C211yesmaximal, characteristic, complemented
5#21431726C211yesmaximal, characteristic, complemented
6#21431715C211yesmaximal, characteristic, complemented
7#21431709C211yesmaximal, characteristic, complemented
8#21431413C211yesmaximal, characteristic, complemented
9#21431373C211yesmaximal, characteristic, complemented
10#21431319C211yesmaximal, characteristic, complemented
11#21431208C211yesmaximal, characteristic, complemented
12#21431088C211yesmaximal, characteristic, complemented
13#21430892C211yesmaximal, characteristic, complemented
14#21430736C211yesmaximal, characteristic, complemented
15#21430725C211yesmaximal, characteristic, complemented
16#21430643C211yesmaximal, characteristic, complemented
17#21430536C211yesmaximal, characteristic, complemented
18#21430398C211yesmaximal, characteristic, complemented
19#21429811C211yesmaximal, characteristic, complemented
20#21429810C211yesmaximal, characteristic, complemented
21#21428483C211yesmaximal, characteristic, complemented
22#21428416C211yesmaximal, characteristic, complemented
23#21428342C211yesmaximal, characteristic, complemented
24#21428224C211yesmaximal, characteristic, complemented
25#21427649C211yesmaximal, characteristic, complemented
26#21427626C211yesmaximal, characteristic, complemented
27#21427567C211yesmaximal, characteristic, complemented
28#21427560C211yesmaximal, characteristic, complemented
29#21426754C211yesmaximal, characteristic, complemented
30C2×#16837279C211yesmaximal, characteristic, complemented
31C59×#2321C211yesmaximal, characteristic, complemented
32C23×C22⋊D59C2211yescharacteristic
33C24×Dic59C2211yescharacteristic
34C2×#14273721C2211yescharacteristic, complemented
35C2×#14273713C2211yescharacteristic, complemented
36C2×#14273712C2211yescharacteristic, complemented
37C2×#14273711C2211yescharacteristic
38C2×#14273708C2211yescharacteristic
39C2×#14273704C2211yescharacteristic
40C2×#14273704C2211yescharacteristic, complemented
41C2×#14273704C2211yescharacteristic, complemented
42C2×#14273701C2211yescharacteristic, complemented
43C2×#14273699C2211yescharacteristic
44C2×#14273699C2211yescharacteristic, complemented
45C2×#14273699C2211yescharacteristic, complemented
46C2×#14273697C2211yescharacteristic
47C2×#14273696C2211yescharacteristic
48C2×#14273695C2211yescharacteristic
49C2×C4×C22⋊D59C2211yescharacteristic
50C22×(C2×D59)⋊C4C2211yescharacteristic
51C22×(C2×D59)⋊C4C2211yescharacteristic
52C59⋊#401C2211yescharacteristic, complemented
53#16837344C2211yescharacteristic, complemented
54#16837342C2211yescharacteristic, complemented
55#16837342C2211yescharacteristic, complemented
56#16837341C2211yescharacteristic, complemented
57#16837340C2211yescharacteristic, complemented
58#16837340C2211yescharacteristic, complemented
59#16837337C2211yescharacteristic, complemented
60#16837336C2211yescharacteristic, complemented
61#16837333C2211yescharacteristic, complemented
62#16837331C2211yescharacteristic, complemented
63#16837331C2211yescharacteristic, complemented
64#16837331C2211yescharacteristic, complemented
65#16837331C2211yescharacteristic, complemented
66#16837331C2211yescharacteristic, complemented
67#16837331C2211yescharacteristic, complemented
68#16837330C2211yescharacteristic, complemented
69#16837330C2211yescharacteristic, complemented
70#16837329C2211yescharacteristic, complemented
71#16837326C2211yescharacteristic, complemented
72#16837325C2211yescharacteristic, complemented
73#16837324C2211yescharacteristic, complemented
74#16837320C2211yescharacteristic, complemented
75#16837319C2211yescharacteristic, complemented
76#16837319C2211yescharacteristic, complemented
77#16837318C2211yescharacteristic
78#16837318C2211yescharacteristic
79#16837318C2211yescharacteristic
80#16837318C2211yescharacteristic
81#16837318C2211yescharacteristic, complemented
82#16837318C2211yescharacteristic, complemented
83#16837317C2211yescharacteristic
84#16837317C2211yescharacteristic
85#16837317C2211yescharacteristic
86#16837317C2211yescharacteristic
87#16837317C2211yescharacteristic, complemented
88#16837317C2211yescharacteristic, complemented
89#16837315C2211yescharacteristic, complemented
90#16837315C2211yescharacteristic, complemented
91#16837311C2211yescharacteristic
92#16837311C2211yescharacteristic
93#16837311C2211yescharacteristic
94#16837311C2211yescharacteristic
95#16837311C2211yescharacteristic, complemented
96#16837310C2211yescharacteristic
97#16837310C2211yescharacteristic
98#16837310C2211yescharacteristic
99#16837310C2211yescharacteristic
100#16837308C2211yescharacteristic, complemented
101#16837304C2211yescharacteristic, complemented
102#16837302C2211yescharacteristic, complemented
103#16837302C2211yescharacteristic, complemented
104#16837302C2211yescharacteristic, complemented
105#16837299C2211yescharacteristic, complemented
106#16837296C2211yescharacteristic, complemented
107#16837296C2211yescharacteristic, complemented
108#16837295C2211yescharacteristic, complemented
109#16837294C2211yescharacteristic, complemented
110#16837293C2211yescharacteristic, complemented
111#16837293C2211yescharacteristic, complemented
112#16837293C2211yescharacteristic, complemented
113#16837293C2211yescharacteristic, complemented
114#16837293C2211yescharacteristic, complemented
115#16837293C2211yescharacteristic, complemented
116#16837292C2211yescharacteristic, complemented
117#16837291C2211yescharacteristic, complemented
118#16837291C2211yescharacteristic, complemented
119#16837290C2211yescharacteristic, complemented
120#16837290C2211yescharacteristic, complemented
121#16837288C2211yescharacteristic, complemented
122#16837286C2211yescharacteristic, complemented
123#16837286C2211yescharacteristic, complemented
124#16837285C2211yescharacteristic, complemented
125#16837283C2211yescharacteristic, complemented
126#16837282C2211yescharacteristic
127#16837282C2211yescharacteristic, complemented
128#16837282C2211yescharacteristic, complemented
129#16837281C2211yescharacteristic
130#16837281C2211yescharacteristic, complemented
131#16837280C2211yescharacteristic, complemented
132#16837279C2211yescharacteristic
133#16837279C2211yescharacteristic
134#16837279C2211yescharacteristic
135#16837279C2211yescharacteristic
136#16837279C2211yescharacteristic
137#16837279C2211yescharacteristic
138#16837279C2211yescharacteristic
139#16837279C2211yescharacteristic
140#16837279C2211yescharacteristic
141#16837279C2211yescharacteristic, complemented
142#16837279C2211yescharacteristic, complemented
143#16837278C2211yescharacteristic, complemented
144#16837278C2211yescharacteristic, complemented
145#16837278C2211yescharacteristic, complemented
146#16837277C2211yescharacteristic
147#16837277C2211yescharacteristic, complemented
148#16837277C2211yescharacteristic, complemented
149#16837275C2211yescharacteristic
150#16837275C2211yescharacteristic, complemented
151#16837274C2211yescharacteristic
152#16837274C2211yescharacteristic, complemented
153#16837274C2211yescharacteristic, complemented
154#16837269C2211yescharacteristic, complemented
155#16837268C2211yescharacteristic, complemented
156#16837265C2211yescharacteristic, complemented
157#16837263C2211yescharacteristic
158#16837263C2211yescharacteristic
159#16837261C2211yescharacteristic, complemented
160#16837260C2211yescharacteristic
161#16837260C2211yescharacteristic
162#16837260C2211yescharacteristic, complemented
163#16837260C2211yescharacteristic, complemented
164#16837260C2211yescharacteristic, complemented
165#16837260C2211yescharacteristic, complemented
166#16837258C2211yescharacteristic
167#16837257C2211yescharacteristic
168#16837257C2211yescharacteristic
169C4×C22⋊Dic59C2211yescharacteristic
170C2×C59⋊#95C2211yescharacteristic
171C2×C59⋊#95C2211yescharacteristic
172C2×#120×C59C2211yescharacteristic
173C2×C4×D4×C59C2211yescharacteristic
174C22×C22⋊C4×C59C2211yescharacteristic
175C59×#390C2211yescharacteristic, complemented
176C59×#390C2211yescharacteristic, complemented
177C59×#388C2211yescharacteristic, complemented
178C59×#388C2211yescharacteristic, complemented
179C59×#388C2211yescharacteristic, complemented
180C59×#388C2211yescharacteristic, complemented
181C59×#386C2211yescharacteristic
182C59×#386C2211yescharacteristic, complemented
183C59×#386C2211yescharacteristic, complemented
184C59×#385C2211yescharacteristic
185C59×#379C2211yescharacteristic
186C4×C22⋊C4×C59C2211yescharacteristic
187C24×D59C2311yescharacteristic
188C22×Dic118C2311yescharacteristic
189C22×D236C2311yescharacteristic
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
204C23×Dic59—42no—
205C23×Dic59—42no—
206C23×Dic59—42no—
207C23×Dic59C2311yescharacteristic
208C23×Dic59C2311yescharacteristic
209C23×Dic59C2311yescharacteristic
210C23×Dic59C2311yescharacteristic
211C23×Dic59C2311yescharacteristic
212C23×Dic59C2311yescharacteristic
213C23×Dic59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215#14273721—42no—
216#14273713—42no—
217#14273712—42no—
218#14273711—42no—
219#14273708—42no—
220#14273704—42no—
221#14273704—42no—
222#14273704—42no—
223#14273701—42no—
224#14273699—42no—
225#14273699—42no—
226#14273699—42no—
227#14273697—42no—
228#14273696—24no—
229#14273695—42no—
230C4×C22⋊D59—42no—
231C2×C4⋊Dic59C2311yescharacteristic
232C2×C4⋊Dic59C2311yescharacteristic
233C2×C4⋊Dic59C2311yescharacteristic
234C2×C4⋊Dic59C2311yescharacteristic
235C2×C4⋊Dic59C2311yescharacteristic
236C2×Dic59⋊C4C2311yescharacteristic
237C2×Dic59⋊C4C2311yescharacteristic
238C2×Dic59⋊C4C2311yescharacteristic
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×Dic59⋊C4C2311yescharacteristic
249C2×Dic59⋊C4C2311yescharacteristic
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×(C2×D59)⋊C4—42no—
265C2×(C2×D59)⋊C4—42no—
266C2×(C2×D59)⋊C4C2311yescharacteristic
267C2×(C2×D59)⋊C4C2311yescharacteristic
268C2×(C2×D59)⋊C4C2311yescharacteristic
269C2×(C2×D59)⋊C4C2311yescharacteristic
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×C4×Dic59C2311yescharacteristic
295C2×C4×Dic59C2311yescharacteristic
296C2×C4×Dic59C2311yescharacteristic
297C59⋊#95C2311yescharacteristic
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
331C25×C59C2311yescharacteristic
332C22×D4×C59C2311yescharacteristic
333C22×D4×C59C2311yescharacteristic
334C22×D4×C59C2311yescharacteristic
335C23×C4×C59C2311yescharacteristic
336C23×C4×C59C2311yescharacteristic
337C23×C4×C59C2311yescharacteristic
338#120×C59—24no—
339C4×D4×C59—42no—
340C2×C4⋊C4×C59C2311yescharacteristic
341C2×C4⋊C4×C59C2311yescharacteristic
342C2×C4⋊C4×C59C2311yescharacteristic
343C2×C22⋊C4×C59—42no—
344C2×C22⋊C4×C59C2311yescharacteristic
345C2×C22⋊C4×C59C2311yescharacteristic
346C2×C22⋊C4×C59C2311yescharacteristic
347C2×C22⋊C4×C59C2311yescharacteristic
348C2×C22⋊C4×C59C2311yescharacteristic
349C2×C22⋊C4×C59C2311yescharacteristic
350C2×C22⋊C4×C59C2311yescharacteristic
351C2×C22⋊C4×C59C2311yescharacteristic
352C2×C22⋊C4×C59C2311yescharacteristic
353C2×C22⋊C4×C59C2311yescharacteristic
354C2×C22⋊C4×C59C2311yescharacteristic
355C2×C22⋊C4×C59C2311yescharacteristic
356C2×C22⋊C4×C59C2311yescharacteristic
357C2×C22⋊C4×C59C2311yescharacteristic
358C2×C22⋊C4×C59C2311yescharacteristic
359C2×C22⋊C4×C59C2311yescharacteristic
360C2×C42×C59C2311yescharacteristic
361C2×C42×C59C2311yescharacteristic
362C2×C42×C59C2311yescharacteristic
363#95×C59C2311yescharacteristic
364#95×C59C2311yescharacteristic
365#95×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369C24×C59—22no—
370C24×C59—22no—
371C24×C59—41no—
372C24×C59—41no—
373C24×C59—41no—
374C24×C59—41no—
375C24×C59#4114yes—
376C24×C59C2411yescharacteristic
377C24×C59C2411yescharacteristic
378C24×C59C2411yescharacteristic
379C24×C59C2411yescharacteristic
380C23×D59—22no—
381C23×D59—22no—
382C23×D59—22no—
383C23×D59—41no—
384C23×D59—41no—
385C23×D59—41no—
386C23×D59—41no—
387C23×D59C2411yescharacteristic
388C23×D59C2411yescharacteristic
389C23×D59C2411yescharacteristic
390C2×D4×C59—22no—
391C2×D4×C59—22no—
392C2×D4×C59—22no—
393C2×D4×C59—22no—
394C2×D4×C59—22no—
395C2×D4×C59—41no—
396C2×D4×C59—41no—
397C2×D4×C59—41no—
398C2×D4×C59—41no—
399C22×C4×C59—22no—
400C22×C4×C59—22no—
401C22×C4×C59—41no—
402C22×C4×C59—41no—
403C22×C4×C59—41no—
404C22×C4×C59—41no—
405C22×C4×C59—41no—
406C22×C4×C59—41no—
407C22×C4×C59—41no—
408C22×C4×C59C2411yescharacteristic
409C22×C4×C59C2411yescharacteristic
410C22×C4×C59C2411yescharacteristic
411C22×C4×C59C2411yescharacteristic
412C22×C4×C59C2411yescharacteristic
413C22×C4×C59C2411yescharacteristic
414C22×C4×C59C2411yescharacteristic
415C22×C4×C59C2411yescharacteristic
416C22×C4×C59C2411yescharacteristic
417C22×C4×C59C2411yescharacteristic
418C22×C4×C59C2411yescharacteristic
419C2×C22⋊D59—22no—
420C2×C22⋊D59—22no—
421C2×C22⋊D59—22no—
422C2×C22⋊D59—22no—
423C2×C22⋊D59—22no—
424C2×C22⋊D59—22no—
425C2×C22⋊D59—22no—
426C2×C22⋊D59—22no—
427C2×C22⋊D59—22no—
428C2×C22⋊D59—22no—
429C2×C22⋊D59—41no—
430C2×C22⋊D59—41no—
431C2×C22⋊D59—41no—
432C2×C22⋊D59—41no—
433C2×C22⋊D59—41no—
434C2×C22⋊D59—41no—
435C2×C22⋊D59—41no—
436C2×C22⋊D59—41no—
437C2×C22⋊D59—41no—
438C2×C22⋊D59—41no—
439C2×C22⋊D59—41no—
440C2×C22⋊D59—41no—
441C2×C22⋊D59—41no—
442C2×C22⋊D59—41no—
443C2×C22⋊D59—41no—
444C2×C22⋊D59—41no—
445C2×C22⋊D59—41no—
446C2×C22⋊D59—41no—
447C2×C22⋊D59—41no—
448C2×C22⋊D59—41no—
449C2×C22⋊D59—416no—
450C22×Dic59—22no—
451C22×Dic59—22no—
452C22×Dic59—22no—
453C22×Dic59—22no—
454C22×Dic59—22no—
455C22×Dic59—22no—
456C22×Dic59—22no—
457C22×Dic59—22no—
458C22×Dic59—22no—
459C22×Dic59—22no—
460C22×Dic59—22no—
461C22×Dic59—41no—
462C22×Dic59—41no—
463C22×Dic59—41no—
464C22×Dic59—41no—
465C22×Dic59—41no—
466C22×Dic59—41no—
467C22×Dic59—41no—
468C22×Dic59—41no—
469C22×Dic59—41no—
470C22×Dic59—41no—
471C22×Dic59—416no—
472C22×Dic59C2411yescharacteristic
473C22×Dic59C2411yescharacteristic
474C22×Dic59C2411yescharacteristic
475C22×Dic59C2411yescharacteristic
476C22×Dic59C2411yescharacteristic
477C22×Dic59C2411yescharacteristic
478C22×Dic59C2411yescharacteristic
479C22×Dic59C2411yescharacteristic
480C22×Dic59C2411yescharacteristic
481C22×Dic59C2411yescharacteristic
482C22×Dic59C2411yescharacteristic
483C22×Dic59C2411yescharacteristic
484C22×Dic59C2411yescharacteristic
485C2×D236—41no—
486C2×D236—41no—
487C2×D236—41no—
488C2×D236—41no—
489C2×D236—41no—
490C2×D236—41no—
491C2×C4×D59—41no—
492C2×C4×D59—41no—
493C2×C4×D59—41no—
494C2×Dic118—22no—
495C2×Dic118—41no—
496C2×Dic118—41no—
497C4⋊C4×C59—41no—
498C4⋊C4×C59—41no—
499C4⋊C4×C59—41no—
500C22⋊C4×C59—22no—
501C22⋊C4×C59—22no—
502C22⋊C4×C59—22no—
503C22⋊C4×C59—22no—
504C22⋊C4×C59—22no—
505C22⋊C4×C59—41no—
506C22⋊C4×C59—41no—
507C22⋊C4×C59—41no—
508C22⋊C4×C59—41no—
509C22⋊C4×C59—41no—
510C22⋊C4×C59—41no—
511C22⋊C4×C59—41no—
512C22⋊C4×C59—41no—
513C22⋊C4×C59—41no—
514C22⋊C4×C59—41no—
515C22⋊C4×C59—41no—
516C42×C59—41no—
517C42×C59—41no—
518C42×C59—41no—
519C22⋊Dic59—22no—
520C22⋊Dic59—22no—
521C22⋊Dic59—22no—
522C22⋊Dic59—22no—
523C22⋊Dic59—22no—
524C22⋊Dic59—22no—
525C22⋊Dic59—41no—
526C22⋊Dic59—41no—
527C22⋊Dic59—41no—
528C22⋊Dic59—41no—
529C22⋊Dic59—41no—
530C22⋊Dic59—41no—
531C22⋊Dic59—41no—
532C22⋊Dic59—41no—
533(C2×D59)⋊C4—22no—
534(C2×D59)⋊C4—22no—
535(C2×D59)⋊C4—22no—
536(C2×D59)⋊C4—22no—
537(C2×D59)⋊C4—22no—
538(C2×D59)⋊C4—41no—
539(C2×D59)⋊C4—41no—
540(C2×D59)⋊C4—41no—
541(C2×D59)⋊C4—41no—
542(C2×D59)⋊C4—41no—
543(C2×D59)⋊C4—41no—
544(C2×D59)⋊C4—41no—
545(C2×D59)⋊C4—41no—
546(C2×D59)⋊C4—41no—
547(C2×D59)⋊C4—41no—
548(C2×D59)⋊C4—41no—
549(C2×D59)⋊C4—41no—
550(C2×D59)⋊C4—41no—
551(C2×D59)⋊C4—41no—
552(C2×D59)⋊C4—41no—
553(C2×D59)⋊C4—41no—
554(C2×D59)⋊C4—41no—
555(C2×D59)⋊C4—41no—
556(C2×D59)⋊C4—41no—
557(C2×D59)⋊C4—41no—
558(C2×D59)⋊C4—41no—
559(C2×D59)⋊C4—41no—
560(C2×D59)⋊C4—41no—
561C4⋊Dic59—22no—
562C4⋊Dic59—41no—
563C4⋊Dic59—41no—
564C4⋊Dic59—41no—
565C4⋊Dic59—41no—
566Dic59⋊C4—22no—
567Dic59⋊C4—22no—
568Dic59⋊C4—22no—
569Dic59⋊C4—41no—
570Dic59⋊C4—41no—
571Dic59⋊C4—41no—
572Dic59⋊C4—41no—
573Dic59⋊C4—41no—
574Dic59⋊C4—41no—
575Dic59⋊C4—41no—
576Dic59⋊C4—41no—
577Dic59⋊C4—41no—
578Dic59⋊C4—41no—
579Dic59⋊C4—41no—
580C4×Dic59—41no—
581C4×Dic59—41no—
582C4×Dic59—41no—
583C23×C59—21no—
584C23×C59—21no—
585C23×C59—21no—
586C23×C59—21no—
587C23×C59—28no—
588C23×C59—21no—
589C23×C59—21no—
590C23×C59—21no—
591C23×C59—21no—
592C23×C59—21no—
593C23×C59—21no—
594C23×C59—21no—
595C23×C59—21no—
596C23×C59—21no—
597C23×C59—21no—
598C23×C59—21no—
599C23×C59—21no—
600C23×C59—21no—
601C23×C59—21no—
602C23×C59—21no—
603C23×C59—21no—
604C23×C59—21no—
605C23×C59—21no—
606C23×C59—21no—
607C23×C59—44no—
608C23×C59—44no—
609C23×C59—44no—
610C23×C59—44no—
611C23×C59—44no—
612C23×C59—44no—
613C23×C59C2×#4112yes—
614C23×C59C2×#4112yes—
615C23×C59C2×#4112yes—
616C23×C59H(5,𝔽2)12yes—
617C23×C59H(5,𝔽2)12yes—
618C23×C59C2511yescharacteristic
619C22×D59—21no—
620C22×D59—21no—
621C22×D59—21no—
622C22×D59—21no—
623C22×D59—21no—
624C22×D59—21no—
625C22×D59—21no—
626C22×D59—21no—
627C22×D59—21no—
628C22×D59—21no—
629C22×D59—21no—
630C22×D59—21no—
631C22×D59—21no—
632C22×D59—21no—
633C22×D59—21no—
634C22×D59—21no—
635C22×D59—21no—
636C22×D59—21no—
637C22×D59—21no—
638C22×D59—21no—
639C22×D59—21no—
640C22×D59—44no—
641C22×D59—44no—
642C22×D59—44no—
643C22×D59—82no—
644C22×D59—82no—
645C22×D59—82no—
646C22×D59—82no—
647D4×C59—44no—
648D4×C59—82no—
649D4×C59—82no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—21no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59—21no—
665C2×C4×C59—21no—
666C2×C4×C59—21no—
667C2×C4×C59—21no—
668C2×C4×C59—21no—
669C2×C4×C59—21no—
670C2×C4×C59—21no—
671C2×C4×C59—21no—
672C2×C4×C59—21no—
673C2×C4×C59—21no—
674C2×C4×C59—21no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—21no—
679C2×C4×C59—21no—
680C2×C4×C59—21no—
681C2×C4×C59—21no—
682C2×C4×C59—21no—
683C2×C4×C59—82no—
684C2×C4×C59—82no—
685C2×C4×C59—82no—
686C22⋊D59—44no—
687C22⋊D59—44no—
688C22⋊D59—44no—
689C22⋊D59—44no—
690C22⋊D59—44no—
691C22⋊D59—82no—
692C22⋊D59—82no—
693C22⋊D59—82no—
694C22⋊D59—82no—
695C22⋊D59—82no—
696C2×Dic59—21no—
697C2×Dic59—21no—
698C2×Dic59—21no—
699C2×Dic59—21no—
700C2×Dic59—21no—
701C2×Dic59—21no—
702C2×Dic59—21no—
703C2×Dic59—21no—
704C2×Dic59—21no—
705C2×Dic59—21no—
706C2×Dic59—21no—
707C2×Dic59—21no—
708C2×Dic59—21no—
709C2×Dic59—21no—
710C2×Dic59—21no—
711C2×Dic59—21no—
712C2×Dic59—21no—
713C2×Dic59—21no—
714C2×Dic59—21no—
715C2×Dic59—21no—
716C2×Dic59—21no—
717C2×Dic59—21no—
718C2×Dic59—21no—
719C2×Dic59—21no—
720C2×Dic59—21no—
721C2×Dic59—21no—
722C2×Dic59—21no—
723C2×Dic59—21no—
724C2×Dic59—21no—
725C2×Dic59—21no—
726C2×Dic59—21no—
727C2×Dic59—21no—
728C2×Dic59—21no—
729C2×Dic59—21no—
730C2×Dic59—21no—
731C2×Dic59—21no—
732C2×Dic59—21no—
733C2×Dic59—44no—
734C2×Dic59—44no—
735C2×Dic59—44no—
736C2×Dic59—44no—
737C2×Dic59—44no—
738C2×Dic59—44no—
739C2×Dic59—44no—
740C2×Dic59H(5,𝔽2)12yes—
741C2×Dic59H(5,𝔽2)12yes—
742D236—82no—
743D236—82no—
744C4×D59—82no—
745Dic118—82no—
746#36758—591nomaximal, Sylow
747C22×C59—22no—
748C22×C59—22no—
749C22×C59—22no—
750C22×C59—22no—
751C22×C59—22no—
752C22×C59—22no—
753C22×C59—22no—
754C22×C59—22no—
755C22×C59—22no—
756C22×C59—22no—
757C22×C59—22no—
758C22×C59—22no—
759C22×C59—416no—
760C22×C59—41no—
761C22×C59—41no—
762C22×C59—41no—
763C22×C59—41no—
764C22×C59—41no—
765C22×C59—41no—
766C22×C59—41no—
767C22×C59—41no—
768C22×C59—41no—
769C22×C59—41no—
770C22×C59—41no—
771C22×C59—41no—
772C22×C59—41no—
773C22×C59—41no—
774C22×C59—41no—
775C22×C59#53814yes—
776C22×C59C22×#4111yescharacteristic
777C22×C59C2×H(5,𝔽2)11yescharacteristic
778C22×C59C2×H(5,𝔽2)11yescharacteristic
779C22×C59C2×H(5,𝔽2)11yescharacteristic
780C22×C59C2×H(5,𝔽2)11yescharacteristic
781C22×C59#58511yescharacteristic
782C22×C59#58511yescharacteristic
783C2×D59—41no—
784C2×D59—41no—
785C2×D59—41no—
786C2×D59—41no—
787C2×D59—41no—
788C2×D59—41no—
789C2×D59—41no—
790C2×D59—41no—
791C2×D59—41no—
792C2×D59—41no—
793C2×D59—41no—
794C2×D59—41no—
795C2×D59—41no—
796C2×D59—41no—
797C2×D59—41no—
798C2×D59—41no—
799C2×D59—41no—
800C2×D59—41no—
801C2×D59—41no—
802C2×D59—41no—
803C2×D59—41no—
804C2×D59—88no—
805C4×C59—41no—
806C4×C59—41no—
807C4×C59—41no—
808C4×C59—41no—
809C4×C59—41no—
810C4×C59—41no—
811C4×C59—41no—
812C4×C59—41no—
813C4×C59—41no—
814C4×C59—41no—
815C4×C59—41no—
816Dic59—22no—
817Dic59—22no—
818Dic59—41no—
819Dic59—41no—
820Dic59—41no—
821Dic59—41no—
822Dic59—41no—
823Dic59—41no—
824Dic59—41no—
825Dic59—41no—
826Dic59—41no—
827Dic59—41no—
828Dic59—41no—
829#2848—591no—
830#2847—591no—
831#2797—591no—
832#2781—591no—
833#2779—591no—
834#2778—591no—
835#2778—591no—
836#2756—591no—
837#2753—591no—
838#2749—591no—
839#2741—591no—
840#2730—591no—
841#2714—591no—
842#2703—591no—
843#2702—591no—
844#2696—591no—
845#2688—591no—
846#2676—591no—
847#2613—591no—
848#2613—591no—
849#2493—591no—
850#2488—591no—
851#2480—591no—
852#2472—591no—
853#2425—591no—
854#2424—591no—
855#2419—591no—
856#2418—591no—
857#2321—591no—
858#2321D5911yescharacteristic, complemented
859C2×#386—591no—
860C2×C59—24no—
861C2×C59—42no—
862C2×C59—42no—
863C2×C59—81no—
864C2×C59C2×#53811yescharacteristic
865C2×C59#350511yescharacteristic
866C2×C59#350511yescharacteristic
867C2×C59#353211yescharacteristic
868C2×C59#353311yescharacteristic
869C2×C59#354211yescharacteristic
870C2×C59#354211yescharacteristic
871D59—81no—
872D59—81no—
873D59—81no—
874C23×D4—591no—
875C24×C4—591no—
876C2×#126—591no—
877C2×#124—591no—
878C2×#123—591no—
879C2×#123—591no—
880C2×#123—591no—
881C2×C22⋊Q8—591no—
882C2×C22⋊Q8—591no—
883C2×C22⋊Q8—591no—
884C2×#121—591no—
885C2×#121—591no—
886C2×#121—591no—
887C2×#121—591no—
888C2×#120—591no—
889C2×#120—591no—
890C2×#120—591no—
891C2×#120C2×D5911yescharacteristic
892C2×C4×D4—591no—
893C2×C4×D4C2×D5911yescharacteristic
894C22×C22⋊C4—591no—
895C22×C22⋊C4—591no—
896C22×C22⋊C4C2×D5911yescharacteristic
897#401—591no—
898#400—591no—
899#400—591no—
900#400—591no—
901#400—591no—
902#400—591no—
903#400—591no—
904#399—591no—
905#398—591no—
906#398—591no—
907#397—591no—
908#397—591no—
909#397—591no—
910#397—591no—
911#397—591no—
912#397—591no—
913#397—591no—
914#397—591no—
915#397—591no—
916#396—591no—
917#396—591no—
918#396—591no—
919#394—591no—
920#394—591no—
921#394—591no—
922#394—591no—
923#394—591no—
924#394—591no—
925#394—591no—
926#394—591no—
927#394—591no—
928#394—591no—
929#394—591no—
930#394—591no—
931#394—591no—
932#394—591no—
933#394—591no—
934#393—591no—
935#393—591no—
936#392—591no—
937#392—591no—
938#392—591no—
939#392—591no—
940#392—591no—
941#392—591no—
942#392—591no—
943#392—591no—
944#392—591no—
945#391—591no—
946#390—591no—
947#390—591no—
948#390—591no—
949#390—591no—
950#390C2×D5911yescharacteristic, complemented
951#390C2×D5911yescharacteristic, complemented
952#389—591no—
953#388—591no—
954#388—591no—
955#388—591no—
956#388—591no—
957#388—591no—
958#388—591no—
959#388—591no—
960#388—591no—
961#388—591no—
962#388—591no—
963#388—591no—
964#388—591no—
965#388—591no—
966#388—591no—
967#388—591no—
968#388C2×D5911yescharacteristic, complemented
969#388C2×D5911yescharacteristic, complemented
970#388C2×D5911yescharacteristic, complemented
971#388C2×D5911yescharacteristic, complemented
972#387—591no—
973#387—591no—
974#387—591no—
975#387—591no—
976#387—591no—
977#386—591no—
978#386—591no—
979#386—591no—
980#386—591no—
981#386—591no—
982#386—591no—
983#386—591no—
984#386—591no—
985#386—591no—
986#386—591no—
987#386—591no—
988#386—591no—
989#386—591no—
990#386—591no—
991#386—591no—
992#386—591no—
993#386—591no—
994#386—591no—
995#386—591no—
996#386—591no—
997#386C2×D5911yescharacteristic
998#386C2×D5911yescharacteristic, complemented
999#386C2×D5911yescharacteristic, complemented
1000#385—591no—
1001#385—591no—
1002#385—591no—
1003#385—591no—
1004#385—591no—
1005#385—591no—
1006#385—591no—
1007#385—591no—
1008#385C2×D5911yescharacteristic
1009#383—591no—
1010#382—591no—
1011#381—591no—
1012#381—591no—
1013#381—591no—
1014#380—591no—
1015#380—591no—
1016#380—591no—
1017#380—591no—
1018#380—591no—
1019#380—591no—
1020#380—591no—
1021#379—591no—
1022#379—591no—
1023#379—591no—
1024#379C2×D5911yescharacteristic
1025C4×C22⋊C4—591no—
1026C4×C22⋊C4C2×D5911yescharacteristic
1027C2×#95—591no—
1028C2×#95—591no—
1029C59#3675811yescharacteristic, complemented, Sylow
1030C25—591no—
1031C25C22×D5911yescharacteristic
1032C22×Q8—591no—
1033C22×D4—591no—
1034C22×D4—591no—
1035C22×D4—591no—
1036C22×D4—591no—
1037C22×D4—591no—
1038C22×D4—591no—
1039C22×D4—591no—
1040C22×D4—591no—
1041C22×D4—591no—
1042C22×D4—591no—
1043C22×D4—591no—
1044C22×D4—591no—
1045C22×D4—1184no—
1046C22×D4—2362no—
1047C22×D4—2362no—
1048C22×D4C22×D5911yescharacteristic
1049C22×D4C22×D5911yescharacteristic
1050C22×D4C22×D5911yescharacteristic
1051C23×C4—591no—
1052C23×C4—591no—
1053C23×C4—591no—
1054C23×C4—591no—
1055C23×C4—591no—
1056C23×C4—591no—
1057C23×C4—591no—
1058C23×C4—591no—
1059C23×C4—2362no—
1060C23×C4—2362no—
1061C23×C4—2362no—
1062C23×C4C22×D5911yescharacteristic
1063C23×C4C22×D5911yescharacteristic
1064C23×C4C22×D5911yescharacteristic
1065#126—2362no—
1066#124—2362no—
1067#123—2362no—
1068#123—2362no—
1069#123—2362no—
1070C22⋊Q8—2362no—
1071C22⋊Q8—2362no—
1072C22⋊Q8—2362no—
1073#121—2362no—
1074#121—2362no—
1075#121—2362no—
1076#121—2362no—
1077#120—24no—
1078#120—1184no—
1079#120—2362no—
1080#120—2362no—
1081C4×D4—42no—
1082C4×D4—2362no—
1083C2×C4⋊C4—591no—
1084C2×C4⋊C4—591no—
1085C2×C4⋊C4—591no—
1086C2×C4⋊C4—591no—
1087C2×C4⋊C4—591no—
1088C2×C4⋊C4—591no—
1089C2×C4⋊C4—591no—
1090C2×C4⋊C4—591no—
1091C2×C4⋊C4—591no—
1092C2×C4⋊C4—591no—
1093C2×C4⋊C4—591no—
1094C2×C4⋊C4—591no—
1095C2×C4⋊C4—591no—
1096C2×C4⋊C4—591no—
1097C2×C4⋊C4—591no—
1098C2×C4⋊C4—591no—
1099C2×C4⋊C4—591no—
1100C2×C4⋊C4—591no—
1101C2×C4⋊C4—591no—
1102C2×C4⋊C4C22×D5911yescharacteristic
1103C2×C4⋊C4C22×D5911yescharacteristic
1104C2×C4⋊C4C22×D5911yescharacteristic
1105C2×C22⋊C4—42no—
1106C2×C22⋊C4—591no—
1107C2×C22⋊C4—591no—
1108C2×C22⋊C4—591no—
1109C2×C22⋊C4—591no—
1110C2×C22⋊C4—591no—
1111C2×C22⋊C4—591no—
1112C2×C22⋊C4—591no—
1113C2×C22⋊C4—591no—
1114C2×C22⋊C4—591no—
1115C2×C22⋊C4—591no—
1116C2×C22⋊C4—591no—
1117C2×C22⋊C4—591no—
1118C2×C22⋊C4—591no—
1119C2×C22⋊C4—591no—
1120C2×C22⋊C4—591no—
1121C2×C22⋊C4—591no—
1122C2×C22⋊C4—591no—
1123C2×C22⋊C4—591no—
1124C2×C22⋊C4—591no—
1125C2×C22⋊C4—591no—
1126C2×C22⋊C4—591no—
1127C2×C22⋊C4—591no—
1128C2×C22⋊C4—591no—
1129C2×C22⋊C4—591no—
1130C2×C22⋊C4—591no—
1131C2×C22⋊C4—591no—
1132C2×C22⋊C4—591no—
1133C2×C22⋊C4—591no—
1134C2×C22⋊C4—591no—
1135C2×C22⋊C4—591no—
1136C2×C22⋊C4—591no—
1137C2×C22⋊C4—591no—
1138C2×C22⋊C4—591no—
1139C2×C22⋊C4—591no—
1140C2×C22⋊C4—591no—
1141C2×C22⋊C4—591no—
1142C2×C22⋊C4—591no—
1143C2×C22⋊C4—591no—
1144C2×C22⋊C4—591no—
1145C2×C22⋊C4—591no—
1146C2×C22⋊C4—591no—
1147C2×C22⋊C4—591no—
1148C2×C22⋊C4—2362no—
1149C2×C22⋊C4—2362no—
1150C2×C22⋊C4C22×D5911yescharacteristic
1151C2×C22⋊C4C22×D5911yescharacteristic
1152C2×C22⋊C4C22×D5911yescharacteristic
1153C2×C22⋊C4C22×D5911yescharacteristic
1154C2×C22⋊C4C22×D5911yescharacteristic
1155C2×C22⋊C4C22×D5911yescharacteristic
1156C2×C22⋊C4C22×D5911yescharacteristic
1157C2×C22⋊C4C22×D5911yescharacteristic
1158C2×C22⋊C4C22×D5911yescharacteristic
1159C2×C22⋊C4C22×D5911yescharacteristic
1160C2×C22⋊C4C22×D5911yescharacteristic
1161C2×C22⋊C4C22×D5911yescharacteristic
1162C2×C22⋊C4C22×D5911yescharacteristic
1163C2×C22⋊C4C22×D5911yescharacteristic
1164C2×C22⋊C4C22×D5911yescharacteristic
1165C2×C22⋊C4C22×D5911yescharacteristic
1166C2×C42—591no—
1167C2×C42—591no—
1168C2×C42—591no—
1169C2×C42C22×D5911yescharacteristic
1170C2×C42C22×D5911yescharacteristic
1171C2×C42C22×D5911yescharacteristic
1172#95—591no—
1173#95—591no—
1174#95—591no—
1175#95—591no—
1176#95—591no—
1177#95—591no—
1178#95—591no—
1179#95—591no—
1180#95—591no—
1181#95—591no—
1182#95—591no—
1183#95—591no—
1184#95—591no—
1185#95—591no—
1186#95—591no—
1187#95—591no—
1188#95—591no—
1189#95—591no—
1190#95—591no—
1191#95—591no—
1192#95—591no—
1193#95—591no—
1194#95—591no—
1195#95—591no—
1196#95—591no—
1197#95—591no—
1198#95—591no—
1199#95—591no—
1200#95—591no—
1201#95—591no—
1202#95—591no—
1203#95—591no—
1204#95—591no—
1205#95—591no—
1206#95C22×D5911yescharacteristic
1207#95C22×D5911yescharacteristic
1208#95C22×D5911yescharacteristic
1209#95C22×D5911yescharacteristic
1210#95C22×D5911yescharacteristic
1211#95C22×D5911yescharacteristic
1212C24—22no—
1213C24—22no—
1214C24—41no—
1215C24—41no—
1216C24—41no—
1217C24—41no—
1218C24—591no—
1219C24—591no—
1220C24—591no—
1221C24—1182no—
1222C24—1182no—
1223C24—1182no—
1224C24—2361no—
1225C24—2361no—
1226C24—2361no—
1227C24—2361no—
1228C24#1174568514yes—
1229C24C23×D5911yescharacteristic
1230C24C23×D5911yescharacteristic
1231C24C23×D5911yescharacteristic
1232C24C23×D5911yescharacteristic
1233C2×Q8—1182no—
1234C2×Q8—2361no—
1235C2×Q8—2361no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—1182no—
1246C2×D4—1182no—
1247C2×D4—1182no—
1248C2×D4—1182no—
1249C2×D4—1182no—
1250C2×D4—1182no—
1251C2×D4—1182no—
1252C2×D4—1182no—
1253C2×D4—1182no—
1254C2×D4—1182no—
1255C2×D4—2361no—
1256C2×D4—2361no—
1257C2×D4—2361no—
1258C2×D4—2361no—
1259C2×D4—2361no—
1260C2×D4—2361no—
1261C2×D4—2361no—
1262C2×D4—2361no—
1263C2×D4—2361no—
1264C2×D4—2361no—
1265C2×D4—2361no—
1266C2×D4—2361no—
1267C2×D4—2361no—
1268C2×D4—2361no—
1269C2×D4—2361no—
1270C2×D4—2361no—
1271C2×D4—2361no—
1272C2×D4—2361no—
1273C2×D4—2361no—
1274C2×D4—2361no—
1275C2×D4—2361no—
1276C2×D4—2361no—
1277C2×D4—2361no—
1278C2×D4—2361no—
1279C2×D4—2361no—
1280C2×D4—2361no—
1281C2×D4—23616no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—591no—
1292C22×C4—591no—
1293C22×C4—591no—
1294C22×C4—591no—
1295C22×C4—591no—
1296C22×C4—591no—
1297C22×C4—591no—
1298C22×C4—591no—
1299C22×C4—591no—
1300C22×C4—591no—
1301C22×C4—591no—
1302C22×C4—591no—
1303C22×C4—591no—
1304C22×C4—1182no—
1305C22×C4—1182no—
1306C22×C4—1182no—
1307C22×C4—1182no—
1308C22×C4—1182no—
1309C22×C4—1182no—
1310C22×C4—1182no—
1311C22×C4—1182no—
1312C22×C4—1182no—
1313C22×C4—1182no—
1314C22×C4—1182no—
1315C22×C4—2361no—
1316C22×C4—2361no—
1317C22×C4—2361no—
1318C22×C4—2361no—
1319C22×C4—2361no—
1320C22×C4—2361no—
1321C22×C4—2361no—
1322C22×C4—2361no—
1323C22×C4—2361no—
1324C22×C4—2361no—
1325C22×C4—2361no—
1326C22×C4—2361no—
1327C22×C4—2361no—
1328C22×C4—23616no—
1329C22×C4C23×D5911yescharacteristic
1330C22×C4C23×D5911yescharacteristic
1331C22×C4C23×D5911yescharacteristic
1332C22×C4C23×D5911yescharacteristic
1333C22×C4C23×D5911yescharacteristic
1334C22×C4C23×D5911yescharacteristic
1335C22×C4C23×D5911yescharacteristic
1336C22×C4C23×D5911yescharacteristic
1337C22×C4C23×D5911yescharacteristic
1338C22×C4C23×D5911yescharacteristic
1339C22×C4C23×D5911yescharacteristic
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—1182no—
1344C4⋊C4—1182no—
1345C4⋊C4—1182no—
1346C4⋊C4—1182no—
1347C4⋊C4—2361no—
1348C4⋊C4—2361no—
1349C4⋊C4—2361no—
1350C4⋊C4—2361no—
1351C4⋊C4—2361no—
1352C4⋊C4—2361no—
1353C4⋊C4—2361no—
1354C4⋊C4—2361no—
1355C4⋊C4—2361no—
1356C4⋊C4—2361no—
1357C4⋊C4—2361no—
1358C4⋊C4—2361no—
1359C4⋊C4—2361no—
1360C4⋊C4—2361no—
1361C4⋊C4—2361no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—1182no—
1379C22⋊C4—1182no—
1380C22⋊C4—1182no—
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—2361no—
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—2361no—
1412C22⋊C4—2361no—
1413C22⋊C4—2361no—
1414C22⋊C4—2361no—
1415C22⋊C4—2361no—
1416C22⋊C4—2361no—
1417C22⋊C4—2361no—
1418C22⋊C4—2361no—
1419C22⋊C4—2361no—
1420C42—41no—
1421C42—41no—
1422C42—41no—
1423C42—2361no—
1424C42—2361no—
1425C42—2361no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—28no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—44no—
1451C23—44no—
1452C23—44no—
1453C23—44no—
1454C23—44no—
1455C23—44no—
1456C23—1181no—
1457C23—1181no—
1458C23—1181no—
1459C23—1181no—
1460C23—1181no—
1461C23—1181no—
1462C23—1181no—
1463C23—1181no—
1464C23—1181no—
1465C23—1181no—
1466C23—1181no—
1467C23—1181no—
1468C23—1181no—
1469C23—1181no—
1470C23—1181no—
1471C23—1181no—
1472C23—1181no—
1473C23—1181no—
1474C23—1181no—
1475C23—1181no—
1476C23—1181no—
1477C23—4722no—
1478C23—4722no—
1479C23—4722no—
1480C23—4722no—
1481C23—2364no—
1482C23—2364no—
1483C23—2364no—
1484C23C2×#1174568512yes—
1485C23C2×#1174568512yes—
1486C23C2×#1174568512yes—
1487C23#1427377212yes—
1488C23#1427377312yes—
1489C23C24×D5911yescharacteristic
1490Q8—4722no—
1491D4—44no—
1492D4—82no—
1493D4—82no—
1494D4—4722no—
1495D4—4722no—
1496D4—4722no—
1497D4—4722no—
1498D4—4722no—
1499D4—4722no—
1500D4—4722no—
1501D4—2364no—
1502D4—2364no—
1503D4—2364no—
1504D4—2364no—
1505D4—2364no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—82no—
1540C2×C4—82no—
1541C2×C4—82no—
1542C2×C4—592no—
1543C2×C4—592no—
1544C2×C4—1181no—
1545C2×C4—1181no—
1546C2×C4—1181no—
1547C2×C4—1181no—
1548C2×C4—1181no—
1549C2×C4—1181no—
1550C2×C4—1181no—
1551C2×C4—1181no—
1552C2×C4—1181no—
1553C2×C4—1181no—
1554C2×C4—1181no—
1555C2×C4—1181no—
1556C2×C4—1181no—
1557C2×C4—1181no—
1558C2×C4—1181no—
1559C2×C4—1181no—
1560C2×C4—1181no—
1561C2×C4—1181no—
1562C2×C4—1181no—
1563C2×C4—1181no—
1564C2×C4—1181no—
1565C2×C4—1181no—
1566C2×C4—1181no—
1567C2×C4—1181no—
1568C2×C4—1181no—
1569C2×C4—1181no—
1570C2×C4—1181no—
1571C2×C4—1181no—
1572C2×C4—1181no—
1573C2×C4—1181no—
1574C2×C4—1181no—
1575C2×C4—1181no—
1576C2×C4—1181no—
1577C2×C4—1181no—
1578C2×C4—1181no—
1579C2×C4—1181no—
1580C2×C4—1181no—
1581C2×C4—4722no—
1582C2×C4—2364no—
1583C2×C4—2364no—
1584C2×C4—2364no—
1585C2×C4—2364no—
1586C2×C4—2364no—
1587C2×C4—2364no—
1588C2×C4—2364no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—416no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—4728no—
1618C22—2361no—
1619C22—2361no—
1620C22—2361no—
1621C22—2361no—
1622C22—2361no—
1623C22—2361no—
1624C22—2361no—
1625C22—2361no—
1626C22—2361no—
1627C22—2361no—
1628C22—2361no—
1629C22—2361no—
1630C22—2361no—
1631C22—2361no—
1632C22—2361no—
1633C22—2361no—
1634C22—2361no—
1635C22—2361no—
1636C22—2361no—
1637C22—2361no—
1638C22—2361no—
1639C22#1683798514yes—
1640C22C22×#1174568511yescharacteristic
1641C22H(5,𝔽2)×D5911yescharacteristic
1642C22H(5,𝔽2)×D5911yescharacteristic
1643C22C2×#1427377211yescharacteristic
1644C22C2×#1427377311yescharacteristic
1645C22#1683823711yescharacteristic
1646C22#1683823711yescharacteristic
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—1182no—
1659C4—1182no—
1660C4—2361no—
1661C4—2361no—
1662C4—2361no—
1663C4—2361no—
1664C4—2361no—
1665C4—2361no—
1666C4—2361no—
1667C4—2361no—
1668C4—2361no—
1669C4—2361no—
1670C4—2361no—
1671C2—24no—
1672C2—42no—
1673C2—42no—
1674C2—81no—
1675C2—4721no—
1676C2—4721no—
1677C2—4721no—
1678C2C2×#1683798511yescharacteristic
1679C2#2143792611yescharacteristic
1680C2#2143792611yescharacteristic
1681C2#2143824711yescharacteristic
1682C2#2143826411yescharacteristic
1683C2#2143839911yescharacteristic
1684C2#2143840711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2321C2
hypercenter#2321D59
hypocenterC59#36758
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2321

Complements

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

NH ≅ G/Ntype
1. #21432381C2semidirect
2. #21432376C2semidirect
3. #21431951C2semidirect
4. #21431759C2semidirect
5. #21431726C2semidirect
6. #21431715C2semidirect
7. #21431709C2semidirect
8. #21431413C2semidirect
9. #21431373C2semidirect
10. #21431319C2semidirect
11. #21431208C2semidirect
12. #21431088C2semidirect
13. #21430892C2semidirect
14. #21430736C2semidirect
15. #21430725C2semidirect
16. #21430643C2semidirect
17. #21430536C2semidirect
18. #21430398C2semidirect
19. #21429811C2semidirect
20. #21429810C2semidirect
21. #21428483C2semidirect
22. #21428416C2semidirect
23. #21428342C2semidirect
24. #21428224C2semidirect
25. #21427649C2semidirect
26. #21427626C2semidirect
27. #21427567C2semidirect
28. #21427560C2semidirect
29. #21426754C2semidirect
30. C2×#16837279C2semidirect
31. C59×#2321C2semidirect
34. C2×#14273721C22semidirect
35. C2×#14273713C22semidirect
36. C2×#14273712C22semidirect
40. C2×#14273704C22semidirect
41. C2×#14273704C22semidirect
42. C2×#14273701C22semidirect
44. C2×#14273699C22semidirect
45. C2×#14273699C22semidirect
52. C59⋊#401C22semidirect
53. #16837344C22semidirect
54. #16837342C22semidirect
55. #16837342C22semidirect
56. #16837341C22semidirect
57. #16837340C22semidirect
58. #16837340C22semidirect
59. #16837337C22semidirect
60. #16837336C22semidirect
61. #16837333C22semidirect
62. #16837331C22semidirect
63. #16837331C22semidirect
64. #16837331C22semidirect
65. #16837331C22semidirect
66. #16837331C22semidirect
67. #16837331C22semidirect
68. #16837330C22semidirect
69. #16837330C22semidirect
70. #16837329C22semidirect
71. #16837326C22semidirect
72. #16837325C22semidirect
73. #16837324C22semidirect
74. #16837320C22semidirect
75. #16837319C22semidirect
76. #16837319C22semidirect
81. #16837318C22semidirect
82. #16837318C22semidirect
87. #16837317C22semidirect
88. #16837317C22semidirect
89. #16837315C22semidirect
90. #16837315C22semidirect
95. #16837311C22semidirect
100. #16837308C22semidirect
101. #16837304C22semidirect
102. #16837302C22semidirect
103. #16837302C22semidirect
104. #16837302C22semidirect
105. #16837299C22semidirect
106. #16837296C22semidirect
107. #16837296C22semidirect
108. #16837295C22semidirect
109. #16837294C22semidirect
110. #16837293C22semidirect
111. #16837293C22semidirect
112. #16837293C22semidirect
113. #16837293C22semidirect
114. #16837293C22semidirect
115. #16837293C22semidirect
116. #16837292C22semidirect
117. #16837291C22semidirect
118. #16837291C22semidirect
119. #16837290C22semidirect
120. #16837290C22semidirect
121. #16837288C22semidirect
122. #16837286C22semidirect
123. #16837286C22semidirect
124. #16837285C22semidirect
125. #16837283C22semidirect
127. #16837282C22semidirect
128. #16837282C22semidirect
130. #16837281C22semidirect
131. #16837280C22semidirect
141. #16837279C22semidirect
142. #16837279C22semidirect
143. #16837278C22semidirect
144. #16837278C22semidirect
145. #16837278C22semidirect
147. #16837277C22semidirect
148. #16837277C22semidirect
150. #16837275C22semidirect
152. #16837274C22semidirect
153. #16837274C22semidirect
154. #16837269C22semidirect
155. #16837268C22semidirect
156. #16837265C22semidirect
159. #16837261C22semidirect
162. #16837260C22semidirect
163. #16837260C22semidirect
164. #16837260C22semidirect
165. #16837260C22semidirect
175. C59×#390C22semidirect
176. C59×#390C22semidirect
177. C59×#388C22semidirect
178. C59×#388C22semidirect
179. C59×#388C22semidirect
180. C59×#388C22semidirect
182. C59×#386C22semidirect
183. C59×#386C22semidirect
858. #2321D59semidirect
950. #390C2×D59semidirect
951. #390C2×D59semidirect
968. #388C2×D59semidirect
969. #388C2×D59semidirect
970. #388C2×D59semidirect
971. #388C2×D59semidirect
998. #386C2×D59semidirect
999. #386C2×D59semidirect
1029. C59#36758semidirect

Maximal subgroups

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

subgroupindex
#214323812
#214323762
#214319512
#214317592
#214317262
#214317152
#214317092
#214314132
#214313732
#214313192
#214312082
#214310882
#214308922
#214307362
#214307252
#214306432
#214305362
#214303982
#214298112
#214298102
#214284832
#214284162
#214283422
#214282242
#214276492
#214276262
#214275672
#214275602
#214267542
C2×#168372792
C59×#23212
#3675859