Finite Group Databasebeta

← #28795864

Subgroups — #28795864

Order 15104.

2034 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432381C211yesmaximal, characteristic, complemented
2#21432376C211yesmaximal, characteristic
3#21431296C211yesmaximal, characteristic, complemented
4#21431288C211yesmaximal, characteristic, complemented
5#21431226C211yesmaximal, characteristic, complemented
6#21431222C211yesmaximal, characteristic, complemented
7#21431208C211yesmaximal, characteristic, complemented
8#21431204C211yesmaximal, characteristic, complemented
9#21430933C211yesmaximal, characteristic, complemented
10#21430930C211yesmaximal, characteristic, complemented
11#21430729C211yesmaximal, characteristic, complemented
12#21430721C211yesmaximal, characteristic, complemented
13#21430593C211yesmaximal, characteristic, complemented
14#21430585C211yesmaximal, characteristic, complemented
15#21430582C211yesmaximal, characteristic, complemented
16#21430574C211yesmaximal, characteristic, complemented
17#21430347C211yesmaximal, characteristic, complemented
18#21430340C211yesmaximal, characteristic, complemented
19#21430213C211yesmaximal, characteristic, complemented
20#21430026C211yesmaximal, characteristic, complemented
21#21428364C211yesmaximal, characteristic, complemented
22#21428362C211yesmaximal, characteristic, complemented
23#21428221C211yesmaximal, characteristic, complemented
24#21428219C211yesmaximal, characteristic, complemented
25#21427907C211yesmaximal, characteristic, complemented
26#21427899C211yesmaximal, characteristic, complemented
27#21427558C211yesmaximal, characteristic, complemented
28#21426827C211yesmaximal, characteristic, complemented
29#21426794C211yesmaximal, characteristic, complemented
30C2×#16837260C211yesmaximal, characteristic, complemented
31C59×#2418C211yesmaximal, characteristic, complemented
32C24×Dic59C2211yescharacteristic
33C2×#14273722C2211yescharacteristic, complemented
34C2×#14273720C2211yescharacteristic, complemented
35C2×#14273714C2211yescharacteristic
36C2×#14273713C2211yescharacteristic
37C2×#14273709C2211yescharacteristic
38C2×#14273706C2211yescharacteristic, complemented
39C2×#14273705C2211yescharacteristic, complemented
40C2×#14273704C2211yescharacteristic
41C2×#14273704C2211yescharacteristic
42C2×#14273704C2211yescharacteristic
43C2×#14273704C2211yescharacteristic
44C2×#14273704C2211yescharacteristic
45C2×#14273699C2211yescharacteristic
46C2×#14273699C2211yescharacteristic
47C2×#14273699C2211yescharacteristic
48C2×#14273696C2211yescharacteristic
49C2×C4×C22⋊D59C2211yescharacteristic
50C22×Dic59⋊C4C2211yescharacteristic
51C22×Dic59⋊C4C2211yescharacteristic
52C22×C22⋊Dic59C2211yescharacteristic
53#16837344C2211yescharacteristic, complemented
54#16837344C2211yescharacteristic, complemented
55#16837343C2211yescharacteristic, complemented
56#16837343C2211yescharacteristic, complemented
57#16837342C2211yescharacteristic, complemented
58#16837340C2211yescharacteristic, complemented
59#16837338C2211yescharacteristic
60#16837338C2211yescharacteristic, complemented
61#16837337C2211yescharacteristic, complemented
62#16837336C2211yescharacteristic, complemented
63#16837336C2211yescharacteristic, complemented
64#16837336C2211yescharacteristic, complemented
65#16837335C2211yescharacteristic, complemented
66#16837335C2211yescharacteristic, complemented
67#16837335C2211yescharacteristic, complemented
68#16837331C2211yescharacteristic, complemented
69#16837331C2211yescharacteristic, complemented
70#16837330C2211yescharacteristic
71#16837330C2211yescharacteristic
72#16837330C2211yescharacteristic, complemented
73#16837330C2211yescharacteristic, complemented
74#16837327C2211yescharacteristic
75#16837326C2211yescharacteristic, complemented
76#16837325C2211yescharacteristic, complemented
77#16837325C2211yescharacteristic, complemented
78#16837324C2211yescharacteristic, complemented
79#16837323C2211yescharacteristic, complemented
80#16837323C2211yescharacteristic, complemented
81#16837322C2211yescharacteristic, complemented
82#16837322C2211yescharacteristic, complemented
83#16837322C2211yescharacteristic, complemented
84#16837322C2211yescharacteristic, complemented
85#16837318C2211yescharacteristic
86#16837318C2211yescharacteristic
87#16837318C2211yescharacteristic, complemented
88#16837317C2211yescharacteristic
89#16837317C2211yescharacteristic
90#16837317C2211yescharacteristic, complemented
91#16837316C2211yescharacteristic
92#16837316C2211yescharacteristic
93#16837315C2211yescharacteristic, complemented
94#16837314C2211yescharacteristic
95#16837314C2211yescharacteristic
96#16837314C2211yescharacteristic, complemented
97#16837307C2211yescharacteristic, complemented
98#16837306C2211yescharacteristic, complemented
99#16837305C2211yescharacteristic
100#16837302C2211yescharacteristic
101#16837300C2211yescharacteristic, complemented
102#16837298C2211yescharacteristic, complemented
103#16837297C2211yescharacteristic, complemented
104#16837297C2211yescharacteristic, complemented
105#16837296C2211yescharacteristic
106#16837296C2211yescharacteristic
107#16837296C2211yescharacteristic
108#16837295C2211yescharacteristic
109#16837295C2211yescharacteristic
110#16837293C2211yescharacteristic, complemented
111#16837291C2211yescharacteristic, complemented
112#16837290C2211yescharacteristic
113#16837290C2211yescharacteristic, complemented
114#16837290C2211yescharacteristic, complemented
115#16837289C2211yescharacteristic, complemented
116#16837287C2211yescharacteristic, complemented
117#16837286C2211yescharacteristic, complemented
118#16837286C2211yescharacteristic, complemented
119#16837285C2211yescharacteristic, complemented
120#16837284C2211yescharacteristic, complemented
121#16837284C2211yescharacteristic, complemented
122#16837284C2211yescharacteristic, complemented
123#16837284C2211yescharacteristic, complemented
124#16837283C2211yescharacteristic, complemented
125#16837283C2211yescharacteristic, complemented
126#16837283C2211yescharacteristic, complemented
127#16837282C2211yescharacteristic
128#16837282C2211yescharacteristic
129#16837282C2211yescharacteristic
130#16837282C2211yescharacteristic
131#16837282C2211yescharacteristic
132#16837281C2211yescharacteristic
133#16837281C2211yescharacteristic, complemented
134#16837279C2211yescharacteristic
135#16837279C2211yescharacteristic
136#16837279C2211yescharacteristic
137#16837279C2211yescharacteristic
138#16837279C2211yescharacteristic
139#16837278C2211yescharacteristic
140#16837278C2211yescharacteristic, complemented
141#16837277C2211yescharacteristic
142#16837277C2211yescharacteristic
143#16837277C2211yescharacteristic
144#16837276C2211yescharacteristic, complemented
145#16837275C2211yescharacteristic
146#16837275C2211yescharacteristic, complemented
147#16837275C2211yescharacteristic, complemented
148#16837274C2211yescharacteristic
149#16837274C2211yescharacteristic
150#16837274C2211yescharacteristic
151#16837273C2211yescharacteristic, complemented
152#16837262C2211yescharacteristic
153#16837260C2211yescharacteristic
154#16837260C2211yescharacteristic
155#16837260C2211yescharacteristic
156#16837260C2211yescharacteristic
157#16837260C2211yescharacteristic
158#16837260C2211yescharacteristic
159#16837260C2211yescharacteristic
160#16837260C2211yescharacteristic
161#16837260C2211yescharacteristic
162#16837260C2211yescharacteristic
163#16837260C2211yescharacteristic
164#16837260C2211yescharacteristic
165#16837260C2211yescharacteristic
166#16837260C2211yescharacteristic
167#16837258C2211yescharacteristic
168C22⋊C4×Dic59C2211yescharacteristic
169C22⋊C4×Dic59C2211yescharacteristic
170C2×C59⋊#95C2211yescharacteristic
171C2×C59⋊#95C2211yescharacteristic
172C2×#123×C59C2211yescharacteristic
173C2×#120×C59C2211yescharacteristic
174C2×C4×D4×C59C2211yescharacteristic
175C22×C22⋊C4×C59C2211yescharacteristic
176C59×#399C2211yescharacteristic
177C59×#397C2211yescharacteristic
178C59×#394C2211yescharacteristic
179C59×#394C2211yescharacteristic
180C59×#388C2211yescharacteristic
181C59×#388C2211yescharacteristic
182C59×#386C2211yescharacteristic
183C59×#386C2211yescharacteristic
184C59×#385C2211yescharacteristic
185C59×#380C2211yescharacteristic
186C59×#379C2211yescharacteristic
187C22×Dic118C2311yescharacteristic
188C22×Dic118C2311yescharacteristic
189C22×Dic118C2311yescharacteristic
190C22×C22⋊D59C2311yescharacteristic
191C22×C22⋊D59C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C23×Dic59—24no—
195C23×Dic59—42no—
196C23×Dic59—42no—
197C23×Dic59C2311yescharacteristic
198C23×Dic59C2311yescharacteristic
199C23×Dic59C2311yescharacteristic
200C23×Dic59C2311yescharacteristic
201C23×Dic59C2311yescharacteristic
202C23×Dic59C2311yescharacteristic
203C23×Dic59C2311yescharacteristic
204C23×Dic59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206#14273722—42no—
207#14273720—42no—
208#14273714—42no—
209#14273713—42no—
210#14273709—42no—
211#14273706—42no—
212#14273705—42no—
213#14273704—24no—
214#14273704—42no—
215#14273704—42no—
216#14273704—42no—
217#14273704—42no—
218#14273699—24no—
219#14273699—42no—
220#14273699—42no—
221#14273696—42no—
222C4×C22⋊D59—42no—
223C2×C4⋊Dic59C2311yescharacteristic
224C2×C4⋊Dic59C2311yescharacteristic
225C2×C4⋊Dic59C2311yescharacteristic
226C2×C4⋊Dic59C2311yescharacteristic
227C2×C4⋊Dic59C2311yescharacteristic
228C2×C4⋊Dic59C2311yescharacteristic
229C2×C4⋊Dic59C2311yescharacteristic
230C2×Dic59⋊C4—42no—
231C2×Dic59⋊C4—42no—
232C2×Dic59⋊C4C2311yescharacteristic
233C2×Dic59⋊C4C2311yescharacteristic
234C2×Dic59⋊C4C2311yescharacteristic
235C2×Dic59⋊C4C2311yescharacteristic
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×Dic59⋊C4C2311yescharacteristic
251C2×Dic59⋊C4C2311yescharacteristic
252C2×Dic59⋊C4C2311yescharacteristic
253C2×Dic59⋊C4C2311yescharacteristic
254C2×Dic59⋊C4C2311yescharacteristic
255C2×Dic59⋊C4C2311yescharacteristic
256C2×C22⋊Dic59—42no—
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×C22⋊Dic59C2311yescharacteristic
269C2×C22⋊Dic59C2311yescharacteristic
270C2×C22⋊Dic59C2311yescharacteristic
271C2×C22⋊Dic59C2311yescharacteristic
272C2×C22⋊Dic59C2311yescharacteristic
273C2×C22⋊Dic59C2311yescharacteristic
274C2×C22⋊Dic59C2311yescharacteristic
275C2×C22⋊Dic59C2311yescharacteristic
276C2×C22⋊Dic59C2311yescharacteristic
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×C4×Dic59C2311yescharacteristic
288C2×C4×Dic59C2311yescharacteristic
289C2×C4×Dic59C2311yescharacteristic
290C2×C4×Dic59C2311yescharacteristic
291C2×C4×Dic59C2311yescharacteristic
292C59⋊#95C2311yescharacteristic
293C59⋊#95C2311yescharacteristic
294C59⋊#95C2311yescharacteristic
295C59⋊#95C2311yescharacteristic
296C59⋊#95C2311yescharacteristic
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
330C25×C59C2311yescharacteristic
331C22×D4×C59C2311yescharacteristic
332C22×D4×C59C2311yescharacteristic
333C22×D4×C59C2311yescharacteristic
334C23×C4×C59C2311yescharacteristic
335C23×C4×C59C2311yescharacteristic
336C23×C4×C59C2311yescharacteristic
337#123×C59—42no—
338#120×C59—42no—
339C4×D4×C59—42no—
340C2×C4⋊C4×C59C2311yescharacteristic
341C2×C4⋊C4×C59C2311yescharacteristic
342C2×C4⋊C4×C59C2311yescharacteristic
343C2×C4⋊C4×C59C2311yescharacteristic
344C2×C4⋊C4×C59C2311yescharacteristic
345C2×C22⋊C4×C59—42no—
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×C22⋊C4×C59C2311yescharacteristic
361C2×C22⋊C4×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—22no—
372C24×C59—22no—
373C24×C59—22no—
374C24×C59—41no—
375C24×C59—41no—
376C24×C59C2411yescharacteristic
377C24×C59C2411yescharacteristic
378C24×C59C2411yescharacteristic
379C24×C59C2411yescharacteristic
380C23×D59C2411yescharacteristic
381C2×D4×C59—22no—
382C2×D4×C59—22no—
383C2×D4×C59—22no—
384C2×D4×C59—22no—
385C2×D4×C59—22no—
386C2×D4×C59—41no—
387C2×D4×C59—41no—
388C2×D4×C59—41no—
389C2×D4×C59—41no—
390C22×C4×C59—22no—
391C22×C4×C59—22no—
392C22×C4×C59—41no—
393C22×C4×C59—41no—
394C22×C4×C59—41no—
395C22×C4×C59—41no—
396C22×C4×C59—41no—
397C22×C4×C59—41no—
398C22×C4×C59—41no—
399C22×C4×C59C2411yescharacteristic
400C22×C4×C59C2411yescharacteristic
401C22×C4×C59C2411yescharacteristic
402C22×C4×C59C2411yescharacteristic
403C22×C4×C59C2411yescharacteristic
404C22×C4×C59C2411yescharacteristic
405C22×C4×C59C2411yescharacteristic
406C22×C4×C59C2411yescharacteristic
407C22×C4×C59C2411yescharacteristic
408C22×C4×C59C2411yescharacteristic
409C22×C4×C59C2411yescharacteristic
410C2×C22⋊D59—22no—
411C2×C22⋊D59—22no—
412C2×C22⋊D59—22no—
413C2×C22⋊D59—22no—
414C2×C22⋊D59—22no—
415C2×C22⋊D59—22no—
416C2×C22⋊D59—41no—
417C2×C22⋊D59—41no—
418C2×C22⋊D59—41no—
419C2×C22⋊D59—41no—
420C2×C22⋊D59—41no—
421C2×C22⋊D59—41no—
422C22×Dic59—22no—
423C22×Dic59—22no—
424C22×Dic59—22no—
425C22×Dic59—22no—
426C22×Dic59—22no—
427C22×Dic59—22no—
428C22×Dic59—22no—
429C22×Dic59—22no—
430C22×Dic59—22no—
431C22×Dic59—22no—
432C22×Dic59—22no—
433C22×Dic59—22no—
434C22×Dic59—22no—
435C22×Dic59—41no—
436C22×Dic59—41no—
437C22×Dic59—41no—
438C22×Dic59—41no—
439C22×Dic59—41no—
440C22×Dic59—41no—
441C22×Dic59—41no—
442C22×Dic59—41no—
443C22×Dic59—41no—
444C22×Dic59—41no—
445C22×Dic59—416no—
446C22×Dic59#4114yes—
447C22×Dic59C2411yescharacteristic
448C22×Dic59C2411yescharacteristic
449C22×Dic59C2411yescharacteristic
450C22×Dic59C2411yescharacteristic
451C22×Dic59C2411yescharacteristic
452C22×Dic59C2411yescharacteristic
453C22×Dic59C2411yescharacteristic
454C22×Dic59C2411yescharacteristic
455C22×Dic59C2411yescharacteristic
456C22×Dic59C2411yescharacteristic
457C22×Dic59C2411yescharacteristic
458C22×Dic59C2411yescharacteristic
459C22×Dic59C2411yescharacteristic
460C22×Dic59C2411yescharacteristic
461C22×Dic59C2411yescharacteristic
462C2×C4×D59—41no—
463C2×C4×D59—41no—
464C2×C4×D59—41no—
465C2×Dic118—22no—
466C2×Dic118—41no—
467C2×Dic118—41no—
468C2×Dic118—41no—
469C2×Dic118—41no—
470C2×Dic118—41no—
471C2×Dic118—41no—
472C2×Dic118—41no—
473C2×Dic118—41no—
474C4⋊C4×C59—41no—
475C4⋊C4×C59—41no—
476C4⋊C4×C59—41no—
477C4⋊C4×C59—41no—
478C4⋊C4×C59—41no—
479C22⋊C4×C59—22no—
480C22⋊C4×C59—22no—
481C22⋊C4×C59—22no—
482C22⋊C4×C59—22no—
483C22⋊C4×C59—22no—
484C22⋊C4×C59—22no—
485C22⋊C4×C59—22no—
486C22⋊C4×C59—41no—
487C22⋊C4×C59—41no—
488C22⋊C4×C59—41no—
489C22⋊C4×C59—41no—
490C22⋊C4×C59—41no—
491C22⋊C4×C59—41no—
492C22⋊C4×C59—41no—
493C22⋊C4×C59—41no—
494C22⋊C4×C59—41no—
495C42×C59—41no—
496C22⋊Dic59—22no—
497C22⋊Dic59—22no—
498C22⋊Dic59—22no—
499C22⋊Dic59—22no—
500C22⋊Dic59—22no—
501C22⋊Dic59—22no—
502C22⋊Dic59—22no—
503C22⋊Dic59—22no—
504C22⋊Dic59—22no—
505C22⋊Dic59—22no—
506C22⋊Dic59—41no—
507C22⋊Dic59—41no—
508C22⋊Dic59—41no—
509C22⋊Dic59—41no—
510C22⋊Dic59—41no—
511C22⋊Dic59—41no—
512C22⋊Dic59—41no—
513C22⋊Dic59—41no—
514C22⋊Dic59—41no—
515C22⋊Dic59—41no—
516(C2×D59)⋊C4—22no—
517(C2×D59)⋊C4—22no—
518(C2×D59)⋊C4—22no—
519(C2×D59)⋊C4—41no—
520(C2×D59)⋊C4—41no—
521(C2×D59)⋊C4—41no—
522(C2×D59)⋊C4—41no—
523(C2×D59)⋊C4—41no—
524(C2×D59)⋊C4—41no—
525(C2×D59)⋊C4—41no—
526C4⋊Dic59—22no—
527C4⋊Dic59—22no—
528C4⋊Dic59—22no—
529C4⋊Dic59—41no—
530C4⋊Dic59—41no—
531C4⋊Dic59—41no—
532C4⋊Dic59—41no—
533Dic59⋊C4—22no—
534Dic59⋊C4—22no—
535Dic59⋊C4—22no—
536Dic59⋊C4—22no—
537Dic59⋊C4—22no—
538Dic59⋊C4—22no—
539Dic59⋊C4—22no—
540Dic59⋊C4—22no—
541Dic59⋊C4—22no—
542Dic59⋊C4—41no—
543Dic59⋊C4—41no—
544Dic59⋊C4—41no—
545Dic59⋊C4—41no—
546Dic59⋊C4—41no—
547Dic59⋊C4—41no—
548Dic59⋊C4—41no—
549Dic59⋊C4—41no—
550Dic59⋊C4—41no—
551Dic59⋊C4—41no—
552Dic59⋊C4—41no—
553Dic59⋊C4—41no—
554Dic59⋊C4—41no—
555Dic59⋊C4—41no—
556Dic59⋊C4—41no—
557C4×Dic59—41no—
558C4×Dic59—41no—
559C4×Dic59—41no—
560C4×Dic59—41no—
561C4×Dic59—41no—
562C23×C59—21no—
563C23×C59—21no—
564C23×C59—21no—
565C23×C59—21no—
566C23×C59—28no—
567C23×C59—21no—
568C23×C59—21no—
569C23×C59—21no—
570C23×C59—21no—
571C23×C59—21no—
572C23×C59—21no—
573C23×C59—21no—
574C23×C59—21no—
575C23×C59—21no—
576C23×C59—21no—
577C23×C59—21no—
578C23×C59—21no—
579C23×C59—21no—
580C23×C59—21no—
581C23×C59—21no—
582C23×C59—21no—
583C23×C59—21no—
584C23×C59—21no—
585C23×C59—21no—
586C23×C59—44no—
587C23×C59—44no—
588C23×C59—44no—
589C23×C59—44no—
590C23×C59—44no—
591C23×C59—44no—
592C23×C59C2×#4112yes—
593C23×C59H(5,𝔽2)12yes—
594C23×C59H(5,𝔽2)12yes—
595C23×C592−1+412yes—
596C23×C592−1+412yes—
597C23×C59C2511yescharacteristic
598C22×D59—21no—
599C22×D59—21no—
600C22×D59—21no—
601C22×D59—21no—
602C22×D59—21no—
603C22×D59—21no—
604C22×D59—21no—
605D4×C59—44no—
606D4×C59—82no—
607D4×C59—82no—
608C2×C4×C59—21no—
609C2×C4×C59—21no—
610C2×C4×C59—21no—
611C2×C4×C59—21no—
612C2×C4×C59—21no—
613C2×C4×C59—21no—
614C2×C4×C59—21no—
615C2×C4×C59—21no—
616C2×C4×C59—21no—
617C2×C4×C59—21no—
618C2×C4×C59—21no—
619C2×C4×C59—21no—
620C2×C4×C59—21no—
621C2×C4×C59—21no—
622C2×C4×C59—21no—
623C2×C4×C59—21no—
624C2×C4×C59—21no—
625C2×C4×C59—21no—
626C2×C4×C59—21no—
627C2×C4×C59—21no—
628C2×C4×C59—21no—
629C2×C4×C59—21no—
630C2×C4×C59—21no—
631C2×C4×C59—21no—
632C2×C4×C59—21no—
633C2×C4×C59—21no—
634C2×C4×C59—21no—
635C2×C4×C59—21no—
636C2×C4×C59—21no—
637C2×C4×C59—21no—
638C2×C4×C59—21no—
639C2×C4×C59—21no—
640C2×C4×C59—21no—
641C2×C4×C59—82no—
642C2×C4×C59—82no—
643C2×C4×C59—82no—
644C22⋊D59—44no—
645C22⋊D59—82no—
646C22⋊D59—82no—
647C22⋊D59—82no—
648C2×Dic59—28no—
649C2×Dic59—21no—
650C2×Dic59—21no—
651C2×Dic59—21no—
652C2×Dic59—21no—
653C2×Dic59—21no—
654C2×Dic59—21no—
655C2×Dic59—21no—
656C2×Dic59—21no—
657C2×Dic59—21no—
658C2×Dic59—21no—
659C2×Dic59—21no—
660C2×Dic59—21no—
661C2×Dic59—21no—
662C2×Dic59—21no—
663C2×Dic59—21no—
664C2×Dic59—21no—
665C2×Dic59—21no—
666C2×Dic59—21no—
667C2×Dic59—21no—
668C2×Dic59—21no—
669C2×Dic59—21no—
670C2×Dic59—21no—
671C2×Dic59—21no—
672C2×Dic59—21no—
673C2×Dic59—21no—
674C2×Dic59—21no—
675C2×Dic59—21no—
676C2×Dic59—21no—
677C2×Dic59—21no—
678C2×Dic59—21no—
679C2×Dic59—21no—
680C2×Dic59—21no—
681C2×Dic59—21no—
682C2×Dic59—21no—
683C2×Dic59—21no—
684C2×Dic59—21no—
685C2×Dic59—21no—
686C2×Dic59—21no—
687C2×Dic59—21no—
688C2×Dic59—21no—
689C2×Dic59—21no—
690C2×Dic59—44no—
691C2×Dic59—44no—
692C2×Dic59—44no—
693C2×Dic59—44no—
694C2×Dic59—44no—
695C2×Dic59—82no—
696C2×Dic59—82no—
697C2×Dic59C2×#4112yes—
698C2×Dic59C2×#4112yes—
699C2×Dic59H(5,𝔽2)12yes—
700C2×Dic59H(5,𝔽2)12yes—
701C4×D59—82no—
702Dic118—82no—
703Dic118—82no—
704Dic118—82no—
705#36729—591nomaximal, Sylow
706C22×C59—22no—
707C22×C59—22no—
708C22×C59—22no—
709C22×C59—22no—
710C22×C59—22no—
711C22×C59—22no—
712C22×C59—22no—
713C22×C59—22no—
714C22×C59—22no—
715C22×C59—22no—
716C22×C59—22no—
717C22×C59—22no—
718C22×C59—416no—
719C22×C59—41no—
720C22×C59—41no—
721C22×C59—41no—
722C22×C59—41no—
723C22×C59—41no—
724C22×C59—41no—
725C22×C59—41no—
726C22×C59—41no—
727C22×C59—41no—
728C22×C59—41no—
729C22×C59—41no—
730C22×C59—41no—
731C22×C59—41no—
732C22×C59—41no—
733C22×C59—41no—
734C22×C59#54214yes—
735C22×C59C22×#4111yescharacteristic
736C22×C59C2×H(5,𝔽2)11yescharacteristic
737C22×C59C2×H(5,𝔽2)11yescharacteristic
738C22×C59C2×H(5,𝔽2)11yescharacteristic
739C22×C59C2×H(5,𝔽2)11yescharacteristic
740C22×C59C2×2−1+411yescharacteristic
741C22×C59C2×2−1+411yescharacteristic
742C2×D59—41no—
743C2×D59—41no—
744C2×D59—41no—
745C2×D59—41no—
746C2×D59—41no—
747C2×D59—41no—
748C2×D59—41no—
749C4×C59—41no—
750C4×C59—41no—
751C4×C59—41no—
752C4×C59—41no—
753C4×C59—41no—
754C4×C59—41no—
755C4×C59—41no—
756C4×C59—41no—
757C4×C59—41no—
758C4×C59—41no—
759C4×C59—41no—
760Dic59—22no—
761Dic59—22no—
762Dic59—22no—
763Dic59—22no—
764Dic59—41no—
765Dic59—41no—
766Dic59—41no—
767Dic59—41no—
768Dic59—41no—
769Dic59—41no—
770Dic59—41no—
771Dic59—41no—
772Dic59—41no—
773Dic59—41no—
774Dic59—41no—
775#2848—591no—
776#2847—591no—
777#2747—591no—
778#2747—591no—
779#2742—591no—
780#2742—591no—
781#2741—591no—
782#2741—591no—
783#2717—591no—
784#2717—591no—
785#2702—591no—
786#2702—591no—
787#2692—591no—
788#2692—591no—
789#2691—591no—
790#2691—591no—
791#2672—591no—
792#2672—591no—
793#2659—591no—
794#2639—591no—
795#2481—591no—
796#2481—591no—
797#2472—591no—
798#2472—591no—
799#2449—591no—
800#2449—591no—
801#2418—591no—
802#2418D5911yescharacteristic, complemented
803#2329—591no—
804#2325—591no—
805C2×#380—591no—
806C2×C59—24no—
807C2×C59—42no—
808C2×C59—42no—
809C2×C59—81no—
810C2×C59C2×#54211yescharacteristic
811C2×C59#349011yescharacteristic
812C2×C59#349211yescharacteristic
813C2×C59#353611yescharacteristic
814C2×C59#353611yescharacteristic
815C2×C59#353711yescharacteristic
816C2×C59#353811yescharacteristic
817D59—81no—
818C24×C4—591no—
819C2×#126—591no—
820C2×#126—591no—
821C2×#124—591no—
822C2×#124—591no—
823C2×#123—591no—
824C2×#123C2×D5911yescharacteristic
825C2×C22⋊Q8—591no—
826C2×C22⋊Q8—591no—
827C2×C22⋊Q8—591no—
828C2×C22⋊Q8—591no—
829C2×C22⋊Q8—591no—
830C2×C22⋊Q8—591no—
831C2×C22⋊Q8—591no—
832C2×#121—591no—
833C2×#121—591no—
834C2×#121—591no—
835C2×#120—591no—
836C2×#120C2×D5911yescharacteristic
837C2×C4×D4—591no—
838C2×C4×D4C2×D5911yescharacteristic
839C22×C4⋊C4—591no—
840C22×C4⋊C4—591no—
841C22×C22⋊C4—591no—
842C22×C22⋊C4C2×D5911yescharacteristic
843#400—591no—
844#400—591no—
845#400—591no—
846#400—591no—
847#400—591no—
848#400—591no—
849#399—591no—
850#399—591no—
851#399—591no—
852#399C2×D5911yescharacteristic
853#398—591no—
854#398—591no—
855#398—591no—
856#398—591no—
857#398—591no—
858#398—591no—
859#397—591no—
860#397—591no—
861#397—591no—
862#397—591no—
863#397—591no—
864#397—591no—
865#397—591no—
866#397C2×D5911yescharacteristic
867#396—591no—
868#396—591no—
869#396—591no—
870#396—591no—
871#395—591no—
872#395—591no—
873#395—591no—
874#395—591no—
875#395—591no—
876#395—591no—
877#394—591no—
878#394—591no—
879#394—591no—
880#394—591no—
881#394—591no—
882#394—591no—
883#394—591no—
884#394—591no—
885#394C2×D5911yescharacteristic
886#394C2×D5911yescharacteristic
887#393—591no—
888#393—591no—
889#393—591no—
890#393—591no—
891#391—591no—
892#391—591no—
893#390—591no—
894#390—591no—
895#389—591no—
896#389—591no—
897#389—591no—
898#389—591no—
899#388—591no—
900#388—591no—
901#388—591no—
902#388—591no—
903#388—591no—
904#388—591no—
905#388—591no—
906#388—591no—
907#388—591no—
908#388—591no—
909#388C2×D5911yescharacteristic
910#388C2×D5911yescharacteristic
911#387—591no—
912#387—591no—
913#387—591no—
914#387—591no—
915#387—591no—
916#387—591no—
917#387—591no—
918#387—591no—
919#387—591no—
920#387—591no—
921#387—591no—
922#387—591no—
923#386—591no—
924#386—591no—
925#386—591no—
926#386—591no—
927#386—591no—
928#386—591no—
929#386—591no—
930#386—591no—
931#386—591no—
932#386—591no—
933#386—591no—
934#386—591no—
935#386—591no—
936#386—591no—
937#386C2×D5911yescharacteristic
938#386C2×D5911yescharacteristic
939#385—591no—
940#385—591no—
941#385—591no—
942#385—591no—
943#385—591no—
944#385—591no—
945#385—591no—
946#385—591no—
947#385—591no—
948#385—591no—
949#385—591no—
950#385C2×D5911yescharacteristic
951#380—591no—
952#380—591no—
953#380—591no—
954#380—591no—
955#380—591no—
956#380—591no—
957#380—591no—
958#380—591no—
959#380—591no—
960#380—591no—
961#380—591no—
962#380—591no—
963#380—591no—
964#380—591no—
965#380—591no—
966#380C2×D5911yescharacteristic
967#379—591no—
968#379C2×D5911yescharacteristic
969C4×C22⋊C4—591no—
970C4×C22⋊C4—591no—
971C2×#95—591no—
972C2×#95—591no—
973C59#3672911yescharacteristic, complemented, Sylow
974C25C22×D5911yescharacteristic
975C22×Q8—591no—
976C22×Q8—591no—
977C22×Q8—591no—
978C22×D4—591no—
979C22×D4—591no—
980C22×D4—591no—
981C22×D4—591no—
982C22×D4C22×D5911yescharacteristic
983C22×D4C22×D5911yescharacteristic
984C22×D4C22×D5911yescharacteristic
985C23×C4—591no—
986C23×C4—591no—
987C23×C4—591no—
988C23×C4—591no—
989C23×C4—591no—
990C23×C4—591no—
991C23×C4—591no—
992C23×C4—591no—
993C23×C4—591no—
994C23×C4—1184no—
995C23×C4—2362no—
996C23×C4—2362no—
997C23×C4C22×D5911yescharacteristic
998C23×C4C22×D5911yescharacteristic
999C23×C4C22×D5911yescharacteristic
1000#126—2362no—
1001#126—2362no—
1002#124—2362no—
1003#124—2362no—
1004#123—42no—
1005#123—2362no—
1006C22⋊Q8—1184no—
1007C22⋊Q8—2362no—
1008C22⋊Q8—2362no—
1009C22⋊Q8—2362no—
1010C22⋊Q8—2362no—
1011C22⋊Q8—2362no—
1012C22⋊Q8—2362no—
1013#121—1184no—
1014#121—2362no—
1015#121—2362no—
1016#120—42no—
1017#120—2362no—
1018C4×D4—42no—
1019C4×D4—2362no—
1020C2×C4⋊C4—591no—
1021C2×C4⋊C4—591no—
1022C2×C4⋊C4—591no—
1023C2×C4⋊C4—591no—
1024C2×C4⋊C4—591no—
1025C2×C4⋊C4—591no—
1026C2×C4⋊C4—591no—
1027C2×C4⋊C4—591no—
1028C2×C4⋊C4—591no—
1029C2×C4⋊C4—591no—
1030C2×C4⋊C4—591no—
1031C2×C4⋊C4—591no—
1032C2×C4⋊C4—591no—
1033C2×C4⋊C4—591no—
1034C2×C4⋊C4—591no—
1035C2×C4⋊C4—591no—
1036C2×C4⋊C4—591no—
1037C2×C4⋊C4—591no—
1038C2×C4⋊C4—591no—
1039C2×C4⋊C4—591no—
1040C2×C4⋊C4—591no—
1041C2×C4⋊C4—591no—
1042C2×C4⋊C4—591no—
1043C2×C4⋊C4—591no—
1044C2×C4⋊C4—591no—
1045C2×C4⋊C4—591no—
1046C2×C4⋊C4—591no—
1047C2×C4⋊C4—591no—
1048C2×C4⋊C4—591no—
1049C2×C4⋊C4—591no—
1050C2×C4⋊C4—591no—
1051C2×C4⋊C4—2362no—
1052C2×C4⋊C4—2362no—
1053C2×C4⋊C4C22×D5911yescharacteristic
1054C2×C4⋊C4C22×D5911yescharacteristic
1055C2×C4⋊C4C22×D5911yescharacteristic
1056C2×C4⋊C4C22×D5911yescharacteristic
1057C2×C4⋊C4C22×D5911yescharacteristic
1058C2×C22⋊C4—42no—
1059C2×C22⋊C4—591no—
1060C2×C22⋊C4—591no—
1061C2×C22⋊C4—591no—
1062C2×C22⋊C4—591no—
1063C2×C22⋊C4—591no—
1064C2×C22⋊C4—591no—
1065C2×C22⋊C4—591no—
1066C2×C22⋊C4—591no—
1067C2×C22⋊C4—591no—
1068C2×C22⋊C4—591no—
1069C2×C22⋊C4—591no—
1070C2×C22⋊C4—591no—
1071C2×C22⋊C4—591no—
1072C2×C22⋊C4—591no—
1073C2×C22⋊C4—591no—
1074C2×C22⋊C4—591no—
1075C2×C22⋊C4—591no—
1076C2×C22⋊C4—591no—
1077C2×C22⋊C4—591no—
1078C2×C22⋊C4—591no—
1079C2×C22⋊C4—591no—
1080C2×C22⋊C4—591no—
1081C2×C22⋊C4—591no—
1082C2×C22⋊C4—591no—
1083C2×C22⋊C4—591no—
1084C2×C22⋊C4—591no—
1085C2×C22⋊C4—591no—
1086C2×C22⋊C4—591no—
1087C2×C22⋊C4—591no—
1088C2×C22⋊C4—591no—
1089C2×C22⋊C4—2362no—
1090C2×C22⋊C4C22×D5911yescharacteristic
1091C2×C22⋊C4C22×D5911yescharacteristic
1092C2×C22⋊C4C22×D5911yescharacteristic
1093C2×C22⋊C4C22×D5911yescharacteristic
1094C2×C22⋊C4C22×D5911yescharacteristic
1095C2×C22⋊C4C22×D5911yescharacteristic
1096C2×C22⋊C4C22×D5911yescharacteristic
1097C2×C22⋊C4C22×D5911yescharacteristic
1098C2×C22⋊C4C22×D5911yescharacteristic
1099C2×C22⋊C4C22×D5911yescharacteristic
1100C2×C22⋊C4C22×D5911yescharacteristic
1101C2×C22⋊C4C22×D5911yescharacteristic
1102C2×C22⋊C4C22×D5911yescharacteristic
1103C2×C22⋊C4C22×D5911yescharacteristic
1104C2×C22⋊C4C22×D5911yescharacteristic
1105C2×C22⋊C4C22×D5911yescharacteristic
1106C2×C42—591no—
1107C2×C42—591no—
1108C2×C42—591no—
1109C2×C42—591no—
1110C2×C42—591no—
1111C2×C42C22×D5911yescharacteristic
1112#95—591no—
1113#95—591no—
1114#95—591no—
1115#95—591no—
1116#95—591no—
1117#95—591no—
1118#95—591no—
1119#95—591no—
1120#95—591no—
1121#95—591no—
1122#95—591no—
1123#95—591no—
1124#95—591no—
1125#95—591no—
1126#95—591no—
1127#95—591no—
1128#95—591no—
1129#95—591no—
1130#95—591no—
1131#95—591no—
1132#95—591no—
1133#95—591no—
1134#95—591no—
1135#95—591no—
1136#95—591no—
1137#95—591no—
1138#95—591no—
1139#95—591no—
1140#95—591no—
1141#95—591no—
1142#95—591no—
1143#95—591no—
1144#95—591no—
1145#95—591no—
1146#95—591no—
1147#95—591no—
1148#95—591no—
1149#95—591no—
1150#95C22×D5911yescharacteristic
1151#95C22×D5911yescharacteristic
1152#95C22×D5911yescharacteristic
1153#95C22×D5911yescharacteristic
1154#95C22×D5911yescharacteristic
1155#95C22×D5911yescharacteristic
1156C24—22no—
1157C24—22no—
1158C24—22no—
1159C24—22no—
1160C24—22no—
1161C24—41no—
1162C24—41no—
1163C24—591no—
1164C24C23×D5911yescharacteristic
1165C24C23×D5911yescharacteristic
1166C24C23×D5911yescharacteristic
1167C24C23×D5911yescharacteristic
1168C2×Q8—1182no—
1169C2×Q8—2361no—
1170C2×Q8—2361no—
1171C2×Q8—2361no—
1172C2×Q8—2361no—
1173C2×Q8—2361no—
1174C2×Q8—2361no—
1175C2×Q8—2361no—
1176C2×Q8—2361no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—1182no—
1187C2×D4—1182no—
1188C2×D4—1182no—
1189C2×D4—1182no—
1190C2×D4—1182no—
1191C2×D4—1182no—
1192C2×D4—2361no—
1193C2×D4—2361no—
1194C2×D4—2361no—
1195C2×D4—2361no—
1196C2×D4—2361no—
1197C2×D4—2361no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—591no—
1208C22×C4—591no—
1209C22×C4—591no—
1210C22×C4—591no—
1211C22×C4—594no—
1212C22×C4—591no—
1213C22×C4—591no—
1214C22×C4—591no—
1215C22×C4—591no—
1216C22×C4—591no—
1217C22×C4—591no—
1218C22×C4—591no—
1219C22×C4—591no—
1220C22×C4—591no—
1221C22×C4—591no—
1222C22×C4—591no—
1223C22×C4—1182no—
1224C22×C4—1182no—
1225C22×C4—1182no—
1226C22×C4—1182no—
1227C22×C4—1182no—
1228C22×C4—1182no—
1229C22×C4—1182no—
1230C22×C4—1182no—
1231C22×C4—1182no—
1232C22×C4—1182no—
1233C22×C4—1182no—
1234C22×C4—1182no—
1235C22×C4—1182no—
1236C22×C4—2361no—
1237C22×C4—2361no—
1238C22×C4—2361no—
1239C22×C4—2361no—
1240C22×C4—2361no—
1241C22×C4—2361no—
1242C22×C4—2361no—
1243C22×C4—2361no—
1244C22×C4—2361no—
1245C22×C4—2361no—
1246C22×C4—2361no—
1247C22×C4—2361no—
1248C22×C4—2361no—
1249C22×C4—23616no—
1250C22×C4C23×D5911yescharacteristic
1251C22×C4C23×D5911yescharacteristic
1252C22×C4C23×D5911yescharacteristic
1253C22×C4C23×D5911yescharacteristic
1254C22×C4C23×D5911yescharacteristic
1255C22×C4C23×D5911yescharacteristic
1256C22×C4C23×D5911yescharacteristic
1257C22×C4C23×D5911yescharacteristic
1258C22×C4C23×D5911yescharacteristic
1259C22×C4C23×D5911yescharacteristic
1260C22×C4C23×D5911yescharacteristic
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—1182no—
1267C4⋊C4—1182no—
1268C4⋊C4—1182no—
1269C4⋊C4—1182no—
1270C4⋊C4—1182no—
1271C4⋊C4—1182no—
1272C4⋊C4—1182no—
1273C4⋊C4—1182no—
1274C4⋊C4—1182no—
1275C4⋊C4—1182no—
1276C4⋊C4—1182no—
1277C4⋊C4—1182no—
1278C4⋊C4—2361no—
1279C4⋊C4—2361no—
1280C4⋊C4—2361no—
1281C4⋊C4—2361no—
1282C4⋊C4—2361no—
1283C4⋊C4—2361no—
1284C4⋊C4—2361no—
1285C4⋊C4—2361no—
1286C4⋊C4—2361no—
1287C4⋊C4—2361no—
1288C4⋊C4—2361no—
1289C4⋊C4—2361no—
1290C4⋊C4—2361no—
1291C4⋊C4—2361no—
1292C4⋊C4—2361no—
1293C4⋊C4—2361no—
1294C4⋊C4—2361no—
1295C4⋊C4—2361no—
1296C4⋊C4—2361no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—1182no—
1314C22⋊C4—1182no—
1315C22⋊C4—1182no—
1316C22⋊C4—1182no—
1317C22⋊C4—1182no—
1318C22⋊C4—1182no—
1319C22⋊C4—1182no—
1320C22⋊C4—1182no—
1321C22⋊C4—1182no—
1322C22⋊C4—1182no—
1323C22⋊C4—1182no—
1324C22⋊C4—1182no—
1325C22⋊C4—1182no—
1326C22⋊C4—2361no—
1327C22⋊C4—2361no—
1328C22⋊C4—2361no—
1329C22⋊C4—2361no—
1330C22⋊C4—2361no—
1331C22⋊C4—2361no—
1332C22⋊C4—2361no—
1333C22⋊C4—2361no—
1334C22⋊C4—2361no—
1335C22⋊C4—2361no—
1336C22⋊C4—2361no—
1337C22⋊C4—2361no—
1338C22⋊C4—2361no—
1339C22⋊C4—2361no—
1340C22⋊C4—2361no—
1341C22⋊C4—2361no—
1342C22⋊C4—2361no—
1343C42—41no—
1344C42—2361no—
1345C42—2361no—
1346C42—2361no—
1347C42—2361no—
1348C42—2361no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—28no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—44no—
1374C23—44no—
1375C23—44no—
1376C23—44no—
1377C23—44no—
1378C23—44no—
1379C23—1181no—
1380C23—1181no—
1381C23—1181no—
1382C23—1181no—
1383C23—1181no—
1384C23—1181no—
1385C23—1181no—
1386C23#41×D5912yes—
1387C23#1427377212yes—
1388C23#1427377212yes—
1389C23#1427377412yes—
1390C23#1427377412yes—
1391C23C24×D5911yescharacteristic
1392Q8—4722no—
1393Q8—4722no—
1394Q8—4722no—
1395D4—44no—
1396D4—82no—
1397D4—82no—
1398D4—4722no—
1399D4—4722no—
1400D4—4722no—
1401D4—2364no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—82no—
1436C2×C4—82no—
1437C2×C4—82no—
1438C2×C4—592no—
1439C2×C4—592no—
1440C2×C4—592no—
1441C2×C4—592no—
1442C2×C4—1188no—
1443C2×C4—1181no—
1444C2×C4—1181no—
1445C2×C4—1181no—
1446C2×C4—1181no—
1447C2×C4—1181no—
1448C2×C4—1181no—
1449C2×C4—1181no—
1450C2×C4—1181no—
1451C2×C4—1181no—
1452C2×C4—1181no—
1453C2×C4—1181no—
1454C2×C4—1181no—
1455C2×C4—1181no—
1456C2×C4—1181no—
1457C2×C4—1181no—
1458C2×C4—1181no—
1459C2×C4—1181no—
1460C2×C4—1181no—
1461C2×C4—1181no—
1462C2×C4—1181no—
1463C2×C4—1181no—
1464C2×C4—1181no—
1465C2×C4—1181no—
1466C2×C4—1181no—
1467C2×C4—1181no—
1468C2×C4—1181no—
1469C2×C4—1181no—
1470C2×C4—1181no—
1471C2×C4—1181no—
1472C2×C4—1181no—
1473C2×C4—1181no—
1474C2×C4—1181no—
1475C2×C4—1181no—
1476C2×C4—1181no—
1477C2×C4—1181no—
1478C2×C4—1181no—
1479C2×C4—1181no—
1480C2×C4—1181no—
1481C2×C4—1181no—
1482C2×C4—1181no—
1483C2×C4—1181no—
1484C2×C4—4722no—
1485C2×C4—4722no—
1486C2×C4—4722no—
1487C2×C4—2364no—
1488C2×C4—2364no—
1489C2×C4—2364no—
1490C2×C4—2364no—
1491C2×C4—2364no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—416no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—2361no—
1521C22—2361no—
1522C22—2361no—
1523C22—2361no—
1524C22—2361no—
1525C22—2361no—
1526C22—2361no—
1527C22#1683802014yes—
1528C22C2×#41×D5911yescharacteristic
1529C22H(5,𝔽2)×D5911yescharacteristic
1530C22H(5,𝔽2)×D5911yescharacteristic
1531C22C2×#1427377211yescharacteristic
1532C22C2×#1427377211yescharacteristic
1533C22C2×#1427377411yescharacteristic
1534C22C2×#1427377411yescharacteristic
1535C4—41no—
1536C4—41no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—1182no—
1547C4—1182no—
1548C4—1182no—
1549C4—1182no—
1550C4—2361no—
1551C4—2361no—
1552C4—2361no—
1553C4—2361no—
1554C4—2361no—
1555C4—2361no—
1556C4—2361no—
1557C4—2361no—
1558C4—2361no—
1559C4—2361no—
1560C4—2361no—
1561C2—24no—
1562C2—42no—
1563C2—42no—
1564C2—81no—
1565C2—4721no—
1566C2C2×#1683802011yescharacteristic
1567C2#2143778211yescharacteristic
1568C2#2143779711yescharacteristic
1569C2#2143831111yescharacteristic
1570C2#2143831111yescharacteristic
1571C2#2143832611yescharacteristic
1572C2#2143833611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2418C2
prime radical#21432376C2
hypercenter#2418D59
hypocenterC59#36729
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
1. #21432381C2semidirect
3. #21431296C2semidirect
4. #21431288C2semidirect
5. #21431226C2semidirect
6. #21431222C2semidirect
7. #21431208C2semidirect
8. #21431204C2semidirect
9. #21430933C2semidirect
10. #21430930C2semidirect
11. #21430729C2semidirect
12. #21430721C2semidirect
13. #21430593C2semidirect
14. #21430585C2semidirect
15. #21430582C2semidirect
16. #21430574C2semidirect
17. #21430347C2semidirect
18. #21430340C2semidirect
19. #21430213C2semidirect
20. #21430026C2semidirect
21. #21428364C2semidirect
22. #21428362C2semidirect
23. #21428221C2semidirect
24. #21428219C2semidirect
25. #21427907C2semidirect
26. #21427899C2semidirect
27. #21427558C2semidirect
28. #21426827C2semidirect
29. #21426794C2semidirect
30. C2×#16837260C2semidirect
31. C59×#2418C2semidirect
33. C2×#14273722C22semidirect
34. C2×#14273720C22semidirect
38. C2×#14273706C22semidirect
39. C2×#14273705C22semidirect
53. #16837344C22semidirect
54. #16837344C22semidirect
55. #16837343C22semidirect
56. #16837343C22semidirect
57. #16837342C22semidirect
58. #16837340C22semidirect
60. #16837338C22semidirect
61. #16837337C22semidirect
62. #16837336C22semidirect
63. #16837336C22semidirect
64. #16837336C22semidirect
65. #16837335C22semidirect
66. #16837335C22semidirect
67. #16837335C22semidirect
68. #16837331C22semidirect
69. #16837331C22semidirect
72. #16837330C22semidirect
73. #16837330C22semidirect
75. #16837326C22semidirect
76. #16837325C22semidirect
77. #16837325C22semidirect
78. #16837324C22semidirect
79. #16837323C22semidirect
80. #16837323C22semidirect
81. #16837322C22semidirect
82. #16837322C22semidirect
83. #16837322C22semidirect
84. #16837322C22semidirect
87. #16837318C22semidirect
90. #16837317C22semidirect
93. #16837315C22semidirect
96. #16837314C22semidirect
97. #16837307C22semidirect
98. #16837306C22semidirect
101. #16837300C22semidirect
102. #16837298C22semidirect
103. #16837297C22semidirect
104. #16837297C22semidirect
110. #16837293C22semidirect
111. #16837291C22semidirect
113. #16837290C22semidirect
114. #16837290C22semidirect
115. #16837289C22semidirect
116. #16837287C22semidirect
117. #16837286C22semidirect
118. #16837286C22semidirect
119. #16837285C22semidirect
120. #16837284C22semidirect
121. #16837284C22semidirect
122. #16837284C22semidirect
123. #16837284C22semidirect
124. #16837283C22semidirect
125. #16837283C22semidirect
126. #16837283C22semidirect
133. #16837281C22semidirect
140. #16837278C22semidirect
144. #16837276C22semidirect
146. #16837275C22semidirect
147. #16837275C22semidirect
151. #16837273C22semidirect
802. #2418D59semidirect
973. C59#36729semidirect

Maximal subgroups

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

subgroupindex
#214323812
#214323762
#214312962
#214312882
#214312262
#214312222
#214312082
#214312042
#214309332
#214309302
#214307292
#214307212
#214305932
#214305852
#214305822
#214305742
#214303472
#214303402
#214302132
#214300262
#214283642
#214283622
#214282212
#214282192
#214279072
#214278992
#214275582
#214268272
#214267942
C2×#168372602
C59×#24182
#3672959