Finite Group Databasebeta

← #28795970

Subgroups — #28795970

Order 15104.

1954 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432388C211yesmaximal, characteristic, complemented
2#21431284C211yesmaximal, characteristic, complemented
3#21431276C211yesmaximal, characteristic, complemented
4#21431246C211yesmaximal, characteristic, complemented
5#21431239C211yesmaximal, characteristic, complemented
6#21431211C211yesmaximal, characteristic, complemented
7#21431001C211yesmaximal, characteristic, complemented
8#21430788C211yesmaximal, characteristic, complemented
9#21430773C211yesmaximal, characteristic, complemented
10#21430705C211yesmaximal, characteristic, complemented
11#21430679C211yesmaximal, characteristic, complemented
12#21430573C211yesmaximal, characteristic, complemented
13#21430483C211yesmaximal, characteristic, complemented
14#21430483C211yesmaximal, characteristic, complemented
15#21430421C211yesmaximal, characteristic, complemented
16#21430327C211yesmaximal, characteristic, complemented
17#21430300C211yesmaximal, characteristic, complemented
18#21430293C211yesmaximal, characteristic, complemented
19#21430225C211yesmaximal, characteristic, complemented
20#21429616C211yesmaximal, characteristic, complemented
21#21429397C211yesmaximal, characteristic, complemented
22#21429224C211yesmaximal, characteristic, complemented
23#21429222C211yesmaximal, characteristic, complemented
24#21428326C211yesmaximal, characteristic, complemented
25#21428279C211yesmaximal, characteristic, complemented
26#21428206C211yesmaximal, characteristic, complemented
27#21428189C211yesmaximal, characteristic, complemented
28#21426882C211yesmaximal, characteristic, complemented
29#21426863C211yesmaximal, characteristic, complemented
30#21426479C211yesmaximal, characteristic, complemented
31C59×#2847C211yesmaximal, characteristic, complemented
32C2×#14273720C2211yescharacteristic
33C2×#14273720C2211yescharacteristic
34C2×#14273720C2211yescharacteristic, complemented
35C2×#14273710C2211yescharacteristic
36C2×#14273710C2211yescharacteristic
37C2×#14273709C2211yescharacteristic, complemented
38C2×#14273708C2211yescharacteristic
39C2×#14273699C2211yescharacteristic
40C2×#14273699C2211yescharacteristic
41C2×#14273698C2211yescharacteristic
42C2×#14273696C2211yescharacteristic
43C2×#14273686C2211yescharacteristic
44C2×#14273686C2211yescharacteristic
45C59⋊#401C2211yescharacteristic, complemented
46#16837344C2211yescharacteristic, complemented
47#16837344C2211yescharacteristic, complemented
48#16837343C2211yescharacteristic, complemented
49#16837342C2211yescharacteristic, complemented
50#16837339C2211yescharacteristic, complemented
51#16837338C2211yescharacteristic
52#16837338C2211yescharacteristic
53#16837338C2211yescharacteristic
54#16837338C2211yescharacteristic, complemented
55#16837336C2211yescharacteristic, complemented
56#16837335C2211yescharacteristic, complemented
57#16837335C2211yescharacteristic, complemented
58#16837335C2211yescharacteristic, complemented
59#16837335C2211yescharacteristic, complemented
60#16837334C2211yescharacteristic, complemented
61#16837333C2211yescharacteristic, complemented
62#16837330C2211yescharacteristic
63#16837330C2211yescharacteristic
64#16837330C2211yescharacteristic, complemented
65#16837328C2211yescharacteristic, complemented
66#16837327C2211yescharacteristic
67#16837327C2211yescharacteristic, complemented
68#16837325C2211yescharacteristic
69#16837325C2211yescharacteristic
70#16837325C2211yescharacteristic
71#16837325C2211yescharacteristic, complemented
72#16837325C2211yescharacteristic, complemented
73#16837318C2211yescharacteristic
74#16837318C2211yescharacteristic, complemented
75#16837318C2211yescharacteristic, complemented
76#16837317C2211yescharacteristic
77#16837317C2211yescharacteristic
78#16837317C2211yescharacteristic, complemented
79#16837316C2211yescharacteristic
80#16837316C2211yescharacteristic
81#16837316C2211yescharacteristic
82#16837316C2211yescharacteristic
83#16837316C2211yescharacteristic
84#16837316C2211yescharacteristic
85#16837316C2211yescharacteristic
86#16837316C2211yescharacteristic
87#16837316C2211yescharacteristic
88#16837316C2211yescharacteristic, complemented
89#16837310C2211yescharacteristic
90#16837310C2211yescharacteristic
91#16837310C2211yescharacteristic
92#16837310C2211yescharacteristic, complemented
93#16837305C2211yescharacteristic
94#16837305C2211yescharacteristic
95#16837305C2211yescharacteristic
96#16837305C2211yescharacteristic
97#16837305C2211yescharacteristic
98#16837302C2211yescharacteristic
99#16837302C2211yescharacteristic, complemented
100#16837302C2211yescharacteristic, complemented
101#16837299C2211yescharacteristic, complemented
102#16837299C2211yescharacteristic, complemented
103#16837299C2211yescharacteristic, complemented
104#16837297C2211yescharacteristic, complemented
105#16837296C2211yescharacteristic
106#16837296C2211yescharacteristic
107#16837296C2211yescharacteristic
108#16837296C2211yescharacteristic, complemented
109#16837296C2211yescharacteristic, complemented
110#16837296C2211yescharacteristic, complemented
111#16837296C2211yescharacteristic, complemented
112#16837295C2211yescharacteristic
113#16837295C2211yescharacteristic
114#16837295C2211yescharacteristic, complemented
115#16837295C2211yescharacteristic, complemented
116#16837294C2211yescharacteristic, complemented
117#16837292C2211yescharacteristic, complemented
118#16837291C2211yescharacteristic, complemented
119#16837291C2211yescharacteristic, complemented
120#16837290C2211yescharacteristic
121#16837290C2211yescharacteristic
122#16837288C2211yescharacteristic, complemented
123#16837288C2211yescharacteristic, complemented
124#16837287C2211yescharacteristic, complemented
125#16837285C2211yescharacteristic, complemented
126#16837285C2211yescharacteristic, complemented
127#16837285C2211yescharacteristic, complemented
128#16837285C2211yescharacteristic, complemented
129#16837284C2211yescharacteristic, complemented
130#16837283C2211yescharacteristic, complemented
131#16837282C2211yescharacteristic
132#16837282C2211yescharacteristic
133#16837282C2211yescharacteristic
134#16837282C2211yescharacteristic, complemented
135#16837282C2211yescharacteristic, complemented
136#16837281C2211yescharacteristic
137#16837281C2211yescharacteristic
138#16837281C2211yescharacteristic
139#16837281C2211yescharacteristic
140#16837278C2211yescharacteristic
141#16837278C2211yescharacteristic
142#16837277C2211yescharacteristic, complemented
143#16837277C2211yescharacteristic, complemented
144#16837276C2211yescharacteristic, complemented
145#16837275C2211yescharacteristic
146#16837275C2211yescharacteristic
147#16837275C2211yescharacteristic
148#16837275C2211yescharacteristic
149#16837274C2211yescharacteristic, complemented
150#16837273C2211yescharacteristic, complemented
151#16837266C2211yescharacteristic, complemented
152#16837265C2211yescharacteristic
153#16837265C2211yescharacteristic
154#16837265C2211yescharacteristic
155#16837265C2211yescharacteristic
156#16837263C2211yescharacteristic, complemented
157#16837262C2211yescharacteristic
158#16837262C2211yescharacteristic
159#16837262C2211yescharacteristic
160#16837262C2211yescharacteristic
161#16837258C2211yescharacteristic
162#16837258C2211yescharacteristic
163#16837258C2211yescharacteristic
164#16837253C2211yescharacteristic, complemented
165C22⋊C4×Dic59C2211yescharacteristic, complemented
166C22⋊C4×Dic59C2211yescharacteristic, complemented
167C4×C22⋊Dic59C2211yescharacteristic
168C4×C22⋊Dic59C2211yescharacteristic
169C4×C22⋊Dic59C2211yescharacteristic
170C4×C22⋊Dic59C2211yescharacteristic
171#16837249C2211yescharacteristic, complemented
172C24×C4×C59C2211yescharacteristic
173C2×#121×C59C2211yescharacteristic
174C2×#121×C59C2211yescharacteristic
175C2×#121×C59C2211yescharacteristic
176C2×#120×C59C2211yescharacteristic
177C2×#120×C59C2211yescharacteristic
178C59×#386C2211yescharacteristic
179C59×#386C2211yescharacteristic
180C59×#386C2211yescharacteristic
181C59×#386C2211yescharacteristic
182C59×#386C2211yescharacteristic
183C59×#386C2211yescharacteristic
184C59×#380C2211yescharacteristic
185C59×#380C2211yescharacteristic
186C59×#380C2211yescharacteristic
187C22×C22⋊D59C2311yescharacteristic
188C22×C22⋊D59C2311yescharacteristic
189C22×C22⋊D59C2311yescharacteristic
190C22×C22⋊D59C2311yescharacteristic
191C22×C22⋊D59C2311yescharacteristic
192C23×Dic59C2311yescharacteristic
193C23×Dic59C2311yescharacteristic
194C22×C4×D59C2311yescharacteristic
195#14273720—42no—
196#14273720—42no—
197#14273720—42no—
198#14273710—24no—
199#14273710—42no—
200#14273709—42no—
201#14273708—42no—
202#14273699—42no—
203#14273699—42no—
204#14273698—42no—
205#14273696—42no—
206#14273686—42no—
207#14273686—42no—
208C2×C4⋊Dic59C2311yescharacteristic
209C2×C4⋊Dic59C2311yescharacteristic
210C2×C4⋊Dic59C2311yescharacteristic
211C2×C4⋊Dic59C2311yescharacteristic
212C2×C4⋊Dic59C2311yescharacteristic
213C2×C4⋊Dic59C2311yescharacteristic
214C2×C4⋊Dic59C2311yescharacteristic
215C2×C4⋊Dic59C2311yescharacteristic
216C2×C4⋊Dic59C2311yescharacteristic
217C2×C4⋊Dic59C2311yescharacteristic
218C2×Dic59⋊C4C2311yescharacteristic
219C2×Dic59⋊C4C2311yescharacteristic
220C2×Dic59⋊C4C2311yescharacteristic
221C2×Dic59⋊C4C2311yescharacteristic
222C2×Dic59⋊C4C2311yescharacteristic
223C2×Dic59⋊C4C2311yescharacteristic
224C2×Dic59⋊C4C2311yescharacteristic
225C2×Dic59⋊C4C2311yescharacteristic
226C2×Dic59⋊C4C2311yescharacteristic
227C2×Dic59⋊C4C2311yescharacteristic
228C2×Dic59⋊C4C2311yescharacteristic
229C2×Dic59⋊C4C2311yescharacteristic
230C2×Dic59⋊C4C2311yescharacteristic
231C2×Dic59⋊C4C2311yescharacteristic
232C2×Dic59⋊C4C2311yescharacteristic
233C2×Dic59⋊C4C2311yescharacteristic
234C2×Dic59⋊C4C2311yescharacteristic
235C2×C22⋊Dic59C2311yescharacteristic
236C2×C22⋊Dic59C2311yescharacteristic
237C2×C22⋊Dic59C2311yescharacteristic
238C2×C22⋊Dic59C2311yescharacteristic
239C2×C22⋊Dic59C2311yescharacteristic
240C2×C22⋊Dic59C2311yescharacteristic
241C2×C22⋊Dic59C2311yescharacteristic
242C2×C22⋊Dic59C2311yescharacteristic
243C2×C22⋊Dic59C2311yescharacteristic
244C2×C22⋊Dic59C2311yescharacteristic
245C2×C22⋊Dic59C2311yescharacteristic
246C2×C22⋊Dic59C2311yescharacteristic
247C2×C22⋊Dic59C2311yescharacteristic
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)⋊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×C4×Dic59C2311yescharacteristic
278C2×C4×Dic59C2311yescharacteristic
279C2×C4×Dic59C2311yescharacteristic
280C2×C4×Dic59C2311yescharacteristic
281C2×C4×Dic59C2311yescharacteristic
282C2×C4×Dic59C2311yescharacteristic
283C2×C4×Dic59C2311yescharacteristic
284C2×C4×Dic59C2311yescharacteristic
285C2×C4×Dic59C2311yescharacteristic
286C59⋊#95C2311yescharacteristic
287C59⋊#95C2311yescharacteristic
288C59⋊#95C2311yescharacteristic
289C59⋊#95C2311yescharacteristic
290C59⋊#95C2311yescharacteristic
291C59⋊#95C2311yescharacteristic
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
320C25×C59C2311yescharacteristic
321C22×D4×C59C2311yescharacteristic
322C22×D4×C59C2311yescharacteristic
323C22×D4×C59C2311yescharacteristic
324C22×D4×C59C2311yescharacteristic
325C22×D4×C59C2311yescharacteristic
326C22×D4×C59C2311yescharacteristic
327C22×D4×C59C2311yescharacteristic
328C23×C4×C59—24no—
329C23×C4×C59—42no—
330C23×C4×C59—42no—
331C23×C4×C59C2311yescharacteristic
332C23×C4×C59C2311yescharacteristic
333C23×C4×C59C2311yescharacteristic
334C23×C4×C59C2311yescharacteristic
335C23×C4×C59C2311yescharacteristic
336C23×C4×C59C2311yescharacteristic
337#121×C59—24no—
338#121×C59—42no—
339#121×C59—42no—
340#120×C59—42no—
341#120×C59—42no—
342C2×C4⋊C4×C59C2311yescharacteristic
343C2×C4⋊C4×C59C2311yescharacteristic
344C2×C4⋊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
357#95×C59C2311yescharacteristic
358#95×C59C2311yescharacteristic
359#95×C59C2311yescharacteristic
360#95×C59C2311yescharacteristic
361#95×C59C2311yescharacteristic
362#95×C59C2311yescharacteristic
363C24×C59—22no—
364C24×C59—22no—
365C24×C59—22no—
366C24×C59—41no—
367C24×C59—41no—
368C24×C59—41no—
369C24×C59—41no—
370C24×C59C2411yescharacteristic
371C24×C59C2411yescharacteristic
372C24×C59C2411yescharacteristic
373C24×C59C2411yescharacteristic
374C24×C59C2411yescharacteristic
375C23×D59C2411yescharacteristic
376C2×D4×C59—22no—
377C2×D4×C59—22no—
378C2×D4×C59—22no—
379C2×D4×C59—22no—
380C2×D4×C59—22no—
381C2×D4×C59—22no—
382C2×D4×C59—22no—
383C2×D4×C59—41no—
384C2×D4×C59—41no—
385C2×D4×C59—41no—
386C2×D4×C59—41no—
387C2×D4×C59—41no—
388C2×D4×C59—41no—
389C2×D4×C59—41no—
390C2×D4×C59—41no—
391C2×D4×C59—41no—
392C2×D4×C59—41no—
393C2×D4×C59—41no—
394C2×D4×C59—41no—
395C2×D4×C59—41no—
396C2×D4×C59—41no—
397C22×C4×C59—22no—
398C22×C4×C59—22no—
399C22×C4×C59—22no—
400C22×C4×C59—22no—
401C22×C4×C59—22no—
402C22×C4×C59—22no—
403C22×C4×C59—22no—
404C22×C4×C59—22no—
405C22×C4×C59—22no—
406C22×C4×C59—22no—
407C22×C4×C59—41no—
408C22×C4×C59—41no—
409C22×C4×C59—41no—
410C22×C4×C59—41no—
411C22×C4×C59—41no—
412C22×C4×C59—41no—
413C22×C4×C59—41no—
414C22×C4×C59—416no—
415C22×C4×C59#4114yes—
416C22×C4×C59C2411yescharacteristic
417C22×C4×C59C2411yescharacteristic
418C22×C4×C59C2411yescharacteristic
419C22×C4×C59C2411yescharacteristic
420C22×C4×C59C2411yescharacteristic
421C22×C4×C59C2411yescharacteristic
422C22×C4×C59C2411yescharacteristic
423C22×C4×C59C2411yescharacteristic
424C22×C4×C59C2411yescharacteristic
425C22×C4×C59C2411yescharacteristic
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—
441C22×Dic59—41no—
442C22×Dic59—41no—
443C22×Dic59—41no—
444C22×Dic59—41no—
445C22×Dic59—41no—
446C22×Dic59—41no—
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—
465C4⋊C4×C59—22no—
466C4⋊C4×C59—41no—
467C4⋊C4×C59—41no—
468C22⋊C4×C59—22no—
469C22⋊C4×C59—22no—
470C22⋊C4×C59—22no—
471C22⋊C4×C59—22no—
472C22⋊C4×C59—22no—
473C22⋊C4×C59—22no—
474C22⋊C4×C59—41no—
475C22⋊C4×C59—41no—
476C22⋊C4×C59—41no—
477C22⋊C4×C59—41no—
478C22⋊C4×C59—41no—
479C22⋊C4×C59—41no—
480C22⋊Dic59—22no—
481C22⋊Dic59—22no—
482C22⋊Dic59—22no—
483C22⋊Dic59—22no—
484C22⋊Dic59—22no—
485C22⋊Dic59—22no—
486C22⋊Dic59—22no—
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—41no—
500C22⋊Dic59—41no—
501C22⋊Dic59—41no—
502C22⋊Dic59—41no—
503C22⋊Dic59—41no—
504C22⋊Dic59—41no—
505C22⋊Dic59—41no—
506C22⋊Dic59—41no—
507C22⋊Dic59—41no—
508C22⋊Dic59—41no—
509C22⋊Dic59—41no—
510C22⋊Dic59—41no—
511C22⋊Dic59—41no—
512C22⋊Dic59—41no—
513(C2×D59)⋊C4—22no—
514(C2×D59)⋊C4—22no—
515(C2×D59)⋊C4—22no—
516(C2×D59)⋊C4—41no—
517(C2×D59)⋊C4—41no—
518(C2×D59)⋊C4—41no—
519(C2×D59)⋊C4—41no—
520(C2×D59)⋊C4—41no—
521(C2×D59)⋊C4—41no—
522C4⋊Dic59—22no—
523C4⋊Dic59—22no—
524C4⋊Dic59—41no—
525C4⋊Dic59—41no—
526C4⋊Dic59—41no—
527C4⋊Dic59—41no—
528C4⋊Dic59—41no—
529C4⋊Dic59—41no—
530C4⋊Dic59—41no—
531C4⋊Dic59—41no—
532Dic59⋊C4—22no—
533Dic59⋊C4—22no—
534Dic59⋊C4—22no—
535Dic59⋊C4—41no—
536Dic59⋊C4—41no—
537Dic59⋊C4—41no—
538Dic59⋊C4—41no—
539Dic59⋊C4—41no—
540Dic59⋊C4—41no—
541Dic59⋊C4—41no—
542Dic59⋊C4—41no—
543Dic59⋊C4—41no—
544Dic59⋊C4—41no—
545Dic59⋊C4—41no—
546Dic59⋊C4—41no—
547Dic59⋊C4—41no—
548Dic59⋊C4—41no—
549C4×Dic59—41no—
550C4×Dic59—41no—
551C4×Dic59—41no—
552C4×Dic59—41no—
553C4×Dic59—41no—
554C4×Dic59—41no—
555C4×Dic59—41no—
556C4×Dic59—41no—
557C4×Dic59—41no—
558C23×C59—21no—
559C23×C59—21no—
560C23×C59—21no—
561C23×C59—21no—
562C23×C59—21no—
563C23×C59—21no—
564C23×C59—21no—
565C23×C59—21no—
566C23×C59—21no—
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—21no—
587C23×C59—21no—
588C23×C59—21no—
589C23×C59—21no—
590C23×C59—44no—
591C23×C59—44no—
592C23×C59—44no—
593C23×C59—44no—
594C23×C59—44no—
595C23×C59—44no—
596C23×C59—44no—
597C23×C59C2×#4112yes—
598C23×C59H(5,𝔽2)12yes—
599C23×C59H(5,𝔽2)12yes—
600C23×C59C2511yescharacteristic
601C22×D59—21no—
602C22×D59—21no—
603C22×D59—21no—
604C22×D59—21no—
605C22×D59—21no—
606C22×D59—21no—
607C22×D59—21no—
608D4×C59—82no—
609D4×C59—82no—
610D4×C59—82no—
611D4×C59—82no—
612D4×C59—82no—
613D4×C59—82no—
614D4×C59—82no—
615C2×C4×C59—28no—
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—21no—
642C2×C4×C59—21no—
643C2×C4×C59—44no—
644C2×C4×C59—44no—
645C2×C4×C59—44no—
646C2×C4×C59—44no—
647C2×C4×C59—44no—
648C2×C4×C59C2×#4112yes—
649C2×C4×C59C2×#4112yes—
650C2×C4×C59H(5,𝔽2)12yes—
651C22⋊D59—82no—
652C22⋊D59—82no—
653C22⋊D59—82no—
654C22⋊D59—82no—
655C22⋊D59—82no—
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—21no—
691C2×Dic59—21no—
692C2×Dic59—21no—
693C2×Dic59—21no—
694C2×Dic59—21no—
695C2×Dic59—21no—
696C2×Dic59—21no—
697C2×Dic59—21no—
698C2×Dic59—21no—
699C2×Dic59—21no—
700C2×Dic59—21no—
701C2×Dic59—82no—
702C2×Dic59—82no—
703C4×D59—82no—
704#36734—591nomaximal, Sylow
705C22×C59—22no—
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—416no—
715C22×C59—41no—
716C22×C59—41no—
717C22×C59—41no—
718C22×C59—41no—
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—41no—
735C22×C59—41no—
736C22×C59—41no—
737C22×C59—41no—
738C22×C59—41no—
739C22×C59—41no—
740C22×C59—41no—
741C22×C59C22×#4111yescharacteristic
742C22×C59C2×H(5,𝔽2)11yescharacteristic
743C22×C59C2×H(5,𝔽2)11yescharacteristic
744C22×C59C2×H(5,𝔽2)11yescharacteristic
745C22×C59#58511yescharacteristic
746C22×C59#58511yescharacteristic
747C22×C59#58511yescharacteristic
748C2×D59—41no—
749C2×D59—41no—
750C2×D59—41no—
751C2×D59—41no—
752C2×D59—41no—
753C2×D59—41no—
754C2×D59—41no—
755C4×C59—22no—
756C4×C59—22no—
757C4×C59—22no—
758C4×C59—41no—
759C4×C59—41no—
760C4×C59—41no—
761C4×C59—41no—
762C4×C59—41no—
763C4×C59—41no—
764C4×C59—41no—
765Dic59—41no—
766Dic59—41no—
767Dic59—41no—
768Dic59—41no—
769Dic59—41no—
770Dic59—41no—
771Dic59—41no—
772Dic59—41no—
773Dic59—41no—
774Dic59—41no—
775Dic59—41no—
776Dic59—41no—
777Dic59—41no—
778Dic59—41no—
779Dic59—41no—
780#2849—591no—
781#2847D5911yescharacteristic, complemented
782#2746—591no—
783#2746—591no—
784#2744—591no—
785#2743—591no—
786#2741—591no—
787#2722—591no—
788#2706—591no—
789#2705—591no—
790#2701—591no—
791#2699—591no—
792#2691—591no—
793#2685—591no—
794#2685—591no—
795#2678—591no—
796#2671—591no—
797#2668—591no—
798#2667—591no—
799#2661—591no—
800#2595—591no—
801#2576—591no—
802#2559—591no—
803#2559—591no—
804#2479—591no—
805#2476—591no—
806#2471—591no—
807#2470—591no—
808#2335—591no—
809#2333—591no—
810#2280—591no—
811C2×C59—42no—
812C2×C59—42no—
813C2×C59—42no—
814C2×C59—81no—
815C2×C59—81no—
816C2×C59#345511yescharacteristic
817C2×C59#349011yescharacteristic
818C2×C59#349411yescharacteristic
819C2×C59#353311yescharacteristic
820C2×C59#353411yescharacteristic
821C2×C59#353911yescharacteristic
822C2×C59#354211yescharacteristic
823D59—81no—
824C24×C4C2×D5911yescharacteristic
825C2×#126—591no—
826C2×#126—591no—
827C2×#126—591no—
828C2×#123—591no—
829C2×#123—591no—
830C2×#123—591no—
831C2×#123—591no—
832C2×#121—591no—
833C2×#121—591no—
834C2×#121—591no—
835C2×#121C2×D5911yescharacteristic
836C2×#121C2×D5911yescharacteristic
837C2×#121C2×D5911yescharacteristic
838C2×#120—591no—
839C2×#120C2×D5911yescharacteristic
840C2×#120C2×D5911yescharacteristic
841C2×#117—591no—
842C2×#117—591no—
843#401—591no—
844#400—591no—
845#400—591no—
846#400—591no—
847#400—591no—
848#399—591no—
849#399—591no—
850#399—591no—
851#399—591no—
852#399—591no—
853#398—591no—
854#398—591no—
855#398—591no—
856#398—591no—
857#398—591no—
858#398—591no—
859#398—591no—
860#397—591no—
861#397—591no—
862#397—591no—
863#397—591no—
864#397—591no—
865#397—591no—
866#396—591no—
867#396—591no—
868#396—591no—
869#396—591no—
870#396—591no—
871#394—591no—
872#394—591no—
873#394—591no—
874#394—591no—
875#394—591no—
876#394—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#394—591no—
886#394—591no—
887#392—591no—
888#392—591no—
889#392—591no—
890#392—591no—
891#390—591no—
892#390—591no—
893#390—591no—
894#390—591no—
895#390—591no—
896#390—591no—
897#390—591no—
898#390—591no—
899#389—591no—
900#389—591no—
901#389—591no—
902#389—591no—
903#388—591no—
904#388—591no—
905#388—591no—
906#388—591no—
907#388—591no—
908#388—591no—
909#388—591no—
910#388—591no—
911#388—591no—
912#388—591no—
913#388—591no—
914#388—591no—
915#388—591no—
916#388—591no—
917#388—591no—
918#388—591no—
919#388—591no—
920#387—591no—
921#387—591no—
922#387—591no—
923#387—591no—
924#387—591no—
925#387—591no—
926#387—591no—
927#387—591no—
928#387—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#386—591no—
938#386—591no—
939#386—591no—
940#386C2×D5911yescharacteristic
941#386C2×D5911yescharacteristic
942#386C2×D5911yescharacteristic
943#386C2×D5911yescharacteristic
944#386C2×D5911yescharacteristic
945#386C2×D5911yescharacteristic
946#385—591no—
947#385—591no—
948#385—591no—
949#385—591no—
950#385—591no—
951#385—591no—
952#385—591no—
953#385—591no—
954#385—591no—
955#382—591no—
956#381—591no—
957#381—591no—
958#381—591no—
959#381—591no—
960#381—591no—
961#380—591no—
962#380—591no—
963#380—591no—
964#380—591no—
965#380C2×D5911yescharacteristic
966#380C2×D5911yescharacteristic
967#380C2×D5911yescharacteristic
968#379—591no—
969#379—591no—
970#379—591no—
971C4×C4⋊C4—591no—
972C4×C22⋊C4—591no—
973C4×C22⋊C4—591no—
974C4×C22⋊C4—591no—
975C4×C22⋊C4—591no—
976C4×C22⋊C4—591no—
977C4×C22⋊C4—591no—
978C4×C22⋊C4—591no—
979C59#3673411yescharacteristic, complemented, Sylow
980C25C22×D5911yescharacteristic
981C22×D4—591no—
982C22×D4—591no—
983C22×D4—591no—
984C22×D4—591no—
985C22×D4—591no—
986C22×D4C22×D5911yescharacteristic
987C22×D4C22×D5911yescharacteristic
988C22×D4C22×D5911yescharacteristic
989C22×D4C22×D5911yescharacteristic
990C22×D4C22×D5911yescharacteristic
991C22×D4C22×D5911yescharacteristic
992C22×D4C22×D5911yescharacteristic
993C23×C4—24no—
994C23×C4—42no—
995C23×C4—42no—
996C23×C4—591no—
997C23×C4—591no—
998C23×C4—591no—
999C23×C4C22×D5911yescharacteristic
1000C23×C4C22×D5911yescharacteristic
1001C23×C4C22×D5911yescharacteristic
1002C23×C4C22×D5911yescharacteristic
1003C23×C4C22×D5911yescharacteristic
1004C23×C4C22×D5911yescharacteristic
1005#126—2362no—
1006#126—2362no—
1007#126—2362no—
1008#123—1184no—
1009#123—2362no—
1010#123—2362no—
1011#123—2362no—
1012#121—24no—
1013#121—42no—
1014#121—42no—
1015#121—2362no—
1016#121—2362no—
1017#121—2362no—
1018#120—42no—
1019#120—42no—
1020#120—2362no—
1021#117—2362no—
1022#117—2362no—
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⋊C4C22×D5911yescharacteristic
1051C2×C4⋊C4C22×D5911yescharacteristic
1052C2×C4⋊C4C22×D5911yescharacteristic
1053C2×C22⋊C4—591no—
1054C2×C22⋊C4—591no—
1055C2×C22⋊C4—591no—
1056C2×C22⋊C4—591no—
1057C2×C22⋊C4—591no—
1058C2×C22⋊C4—591no—
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—591no—
1090C2×C22⋊C4—591no—
1091C2×C22⋊C4—591no—
1092C2×C22⋊C4—591no—
1093C2×C22⋊C4—591no—
1094C2×C22⋊C4—591no—
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×C22⋊C4C22×D5911yescharacteristic
1107C2×C42—591no—
1108C2×C42—591no—
1109C2×C42—591no—
1110C2×C42—591no—
1111C2×C42—591no—
1112C2×C42—591no—
1113C2×C42—591no—
1114C2×C42—591no—
1115C2×C42—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—41no—
1160C24—41no—
1161C24—41no—
1162C24—41no—
1163C24—591no—
1164C24C23×D5911yescharacteristic
1165C24C23×D5911yescharacteristic
1166C24C23×D5911yescharacteristic
1167C24C23×D5911yescharacteristic
1168C24C23×D5911yescharacteristic
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—1182no—
1191C2×D4—1182no—
1192C2×D4—1182no—
1193C2×D4—2361no—
1194C2×D4—2361no—
1195C2×D4—2361no—
1196C2×D4—2361no—
1197C2×D4—2361no—
1198C2×D4—2361no—
1199C2×D4—2361no—
1200C2×D4—2361no—
1201C2×D4—2361no—
1202C2×D4—2361no—
1203C2×D4—2361no—
1204C2×D4—2361no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—416no—
1223C22×C4—591no—
1224C22×C4—591no—
1225C22×C4—591no—
1226C22×C4—591no—
1227C22×C4—591no—
1228C22×C4—591no—
1229C22×C4—591no—
1230C22×C4—591no—
1231C22×C4—591no—
1232C22×C4—591no—
1233C22×C4—591no—
1234C22×C4—591no—
1235C22×C4—591no—
1236C22×C4—591no—
1237C22×C4—591no—
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#1174568714yes—
1248C22×C4C23×D5911yescharacteristic
1249C22×C4C23×D5911yescharacteristic
1250C22×C4C23×D5911yescharacteristic
1251C22×C4C23×D5911yescharacteristic
1252C22×C4C23×D5911yescharacteristic
1253C22×C4C23×D5911yescharacteristic
1254C22×C4C23×D5911yescharacteristic
1255C22×C4C23×D5911yescharacteristic
1256C22×C4C23×D5911yescharacteristic
1257C22×C4C23×D5911yescharacteristic
1258C4⋊C4—22no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—1182no—
1262C4⋊C4—1182no—
1263C4⋊C4—1182no—
1264C4⋊C4—1182no—
1265C4⋊C4—1182no—
1266C4⋊C4—2361no—
1267C4⋊C4—2361no—
1268C4⋊C4—2361no—
1269C4⋊C4—2361no—
1270C4⋊C4—2361no—
1271C4⋊C4—2361no—
1272C4⋊C4—2361no—
1273C4⋊C4—2361no—
1274C4⋊C4—2361no—
1275C4⋊C4—2361no—
1276C4⋊C4—2361no—
1277C4⋊C4—2361no—
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—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—1182no—
1301C22⋊C4—1182no—
1302C22⋊C4—1182no—
1303C22⋊C4—1182no—
1304C22⋊C4—1182no—
1305C22⋊C4—1182no—
1306C22⋊C4—1182no—
1307C22⋊C4—1182no—
1308C22⋊C4—1182no—
1309C22⋊C4—1182no—
1310C22⋊C4—2361no—
1311C22⋊C4—2361no—
1312C22⋊C4—2361no—
1313C22⋊C4—2361no—
1314C22⋊C4—2361no—
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—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—
1342C42—2361no—
1343C42—2361no—
1344C42—2361no—
1345C42—2361no—
1346C42—2361no—
1347C42—2361no—
1348C42—2361no—
1349C42—2361no—
1350C42—2361no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
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—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—44no—
1384C23—44no—
1385C23—44no—
1386C23—44no—
1387C23—44no—
1388C23—44no—
1389C23—44no—
1390C23—1181no—
1391C23—1181no—
1392C23—1181no—
1393C23—1181no—
1394C23—1181no—
1395C23—1181no—
1396C23—1181no—
1397C23C2×#1174568712yes—
1398C23#1427377212yes—
1399C23#1427377212yes—
1400C23C24×D5911yescharacteristic
1401D4—82no—
1402D4—82no—
1403D4—82no—
1404D4—82no—
1405D4—82no—
1406D4—82no—
1407D4—82no—
1408D4—4722no—
1409D4—4722no—
1410D4—4722no—
1411D4—4722no—
1412D4—4722no—
1413C2×C4—28no—
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—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—44no—
1442C2×C4—44no—
1443C2×C4—44no—
1444C2×C4—44no—
1445C2×C4—44no—
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—1181no—
1485C2×C4—1181no—
1486C2×C4—1181no—
1487C2×C4—1181no—
1488C2×C4—1181no—
1489C2×C4—1181no—
1490C2×C4—1181no—
1491C2×C4—4722no—
1492C2×C4—4722no—
1493C2×C4—4722no—
1494C2×C4C2×#1174568712yes—
1495C2×C4C2×#1174568712yes—
1496C2×C4#1427377212yes—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—416no—
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—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—2361no—
1534C22—2361no—
1535C22—2361no—
1536C22—2361no—
1537C22—2361no—
1538C22—2361no—
1539C22—2361no—
1540C22C22×#1174568711yescharacteristic
1541C22C2×#1427377211yescharacteristic
1542C22C2×#1427377211yescharacteristic
1543C22C2×#1427377211yescharacteristic
1544C22#1683823811yescharacteristic
1545C22#1683823811yescharacteristic
1546C22#1683823811yescharacteristic
1547C4—22no—
1548C4—22no—
1549C4—22no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—2361no—
1558C4—2361no—
1559C4—2361no—
1560C4—2361no—
1561C4—2361no—
1562C4—2361no—
1563C4—2361no—
1564C4—2361no—
1565C4—2361no—
1566C4—2361no—
1567C4—2361no—
1568C4—2361no—
1569C4—2361no—
1570C4—2361no—
1571C4—2361no—
1572C2—42no—
1573C2—42no—
1574C2—42no—
1575C2—81no—
1576C2—81no—
1577C2—4721no—
1578C2#2143748411yescharacteristic
1579C2#2143778311yescharacteristic
1580C2#2143782511yescharacteristic
1581C2#2143826011yescharacteristic
1582C2#2143828611yescharacteristic
1583C2#2143835611yescharacteristic
1584C2#2143841611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2847C2
hypercenter#2847D59
hypocenterC59#36734
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2847

Complements

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

NH ≅ G/Ntype
1. #21432388C2semidirect
2. #21431284C2semidirect
3. #21431276C2semidirect
4. #21431246C2semidirect
5. #21431239C2semidirect
6. #21431211C2semidirect
7. #21431001C2semidirect
8. #21430788C2semidirect
9. #21430773C2semidirect
10. #21430705C2semidirect
11. #21430679C2semidirect
12. #21430573C2semidirect
13. #21430483C2semidirect
14. #21430483C2semidirect
15. #21430421C2semidirect
16. #21430327C2semidirect
17. #21430300C2semidirect
18. #21430293C2semidirect
19. #21430225C2semidirect
20. #21429616C2semidirect
21. #21429397C2semidirect
22. #21429224C2semidirect
23. #21429222C2semidirect
24. #21428326C2semidirect
25. #21428279C2semidirect
26. #21428206C2semidirect
27. #21428189C2semidirect
28. #21426882C2semidirect
29. #21426863C2semidirect
30. #21426479C2semidirect
31. C59×#2847C2semidirect
34. C2×#14273720C22semidirect
37. C2×#14273709C22semidirect
45. C59⋊#401C22semidirect
46. #16837344C22semidirect
47. #16837344C22semidirect
48. #16837343C22semidirect
49. #16837342C22semidirect
50. #16837339C22semidirect
54. #16837338C22semidirect
55. #16837336C22semidirect
56. #16837335C22semidirect
57. #16837335C22semidirect
58. #16837335C22semidirect
59. #16837335C22semidirect
60. #16837334C22semidirect
61. #16837333C22semidirect
64. #16837330C22semidirect
65. #16837328C22semidirect
67. #16837327C22semidirect
71. #16837325C22semidirect
72. #16837325C22semidirect
74. #16837318C22semidirect
75. #16837318C22semidirect
78. #16837317C22semidirect
88. #16837316C22semidirect
92. #16837310C22semidirect
99. #16837302C22semidirect
100. #16837302C22semidirect
101. #16837299C22semidirect
102. #16837299C22semidirect
103. #16837299C22semidirect
104. #16837297C22semidirect
108. #16837296C22semidirect
109. #16837296C22semidirect
110. #16837296C22semidirect
111. #16837296C22semidirect
114. #16837295C22semidirect
115. #16837295C22semidirect
116. #16837294C22semidirect
117. #16837292C22semidirect
118. #16837291C22semidirect
119. #16837291C22semidirect
122. #16837288C22semidirect
123. #16837288C22semidirect
124. #16837287C22semidirect
125. #16837285C22semidirect
126. #16837285C22semidirect
127. #16837285C22semidirect
128. #16837285C22semidirect
129. #16837284C22semidirect
130. #16837283C22semidirect
134. #16837282C22semidirect
135. #16837282C22semidirect
142. #16837277C22semidirect
143. #16837277C22semidirect
144. #16837276C22semidirect
149. #16837274C22semidirect
150. #16837273C22semidirect
151. #16837266C22semidirect
156. #16837263C22semidirect
164. #16837253C22semidirect
165. C22⋊C4×Dic59C22semidirect
166. C22⋊C4×Dic59C22semidirect
171. #16837249C22semidirect
781. #2847D59semidirect
979. C59#36734semidirect

Maximal subgroups

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

subgroupindex
#214323882
#214312842
#214312762
#214312462
#214312392
#214312112
#214310012
#214307882
#214307732
#214307052
#214306792
#214305732
#214304832
#214304212
#214303272
#214303002
#214302932
#214302252
#214296162
#214293972
#214292242
#214292222
#214283262
#214282792
#214282062
#214281892
#214268822
#214268632
#214264792
C59×#28472
#3673459