Finite Group Databasebeta

← #28761433

Subgroups — #28761433

Order 15104.

2214 conjugacy classes of subgroups.

The subgroup lattice has 1562 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432410C211yesmaximal, characteristic, complemented
2#21432410C211yesmaximal, characteristic, complemented
3#21432410C211yesmaximal, characteristic, complemented
4#21432408C211yesmaximal, characteristic, complemented
5#21430053C211yesmaximal, characteristic, complemented
6#21430048C211yesmaximal, characteristic, complemented
7#21430048C211yesmaximal, characteristic, complemented
8#21430048C211yesmaximal, characteristic, complemented
9#21428661C211yesmaximal, characteristic, complemented
10#21428659C211yesmaximal, characteristic, complemented
11#21428655C211yesmaximal, characteristic, complemented
12#21428649C211yesmaximal, characteristic, complemented
13#21428487C211yesmaximal, characteristic, complemented
14#21428483C211yesmaximal, characteristic, complemented
15#21428479C211yesmaximal, characteristic, complemented
16#21428475C211yesmaximal, characteristic, complemented
17#21428363C211yesmaximal, characteristic, complemented
18#21428358C211yesmaximal, characteristic, complemented
19#21428353C211yesmaximal, characteristic, complemented
20#21428352C211yesmaximal, characteristic, complemented
21#21428341C211yesmaximal, characteristic, complemented
22#21428339C211yesmaximal, characteristic, complemented
23#21428336C211yesmaximal, characteristic, complemented
24#21426709C211yesmaximal, characteristic, complemented
25#21426707C211yesmaximal, characteristic, complemented
26#21426672C211yesmaximal, characteristic
27#21426672C211yesmaximal, characteristic
28C2×#16837278C211yesmaximal, characteristic
29#385×D59C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D59C211yesmaximal, characteristic, complemented
31C59×#2480C211yesmaximal, characteristic, complemented
32C23×C22⋊D59C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34C2×#14273720C2211yescharacteristic, complemented
35C2×#14273720C2211yescharacteristic, complemented
36C2×#14273720C2211yescharacteristic, complemented
37C2×C4⋊C4×D59C2211yescharacteristic, complemented
38C2×C4⋊C4×D59C2211yescharacteristic, complemented
39C22×C22⋊Dic59C2211yescharacteristic
40C22×(C2×D59)⋊C4C2211yescharacteristic
41C2×C22⋊C4×D59C2211yescharacteristic
42C2×C22⋊C4×D59C2211yescharacteristic
43C2×C22⋊C4×D59C2211yescharacteristic
44C2×C22⋊C4×D59C2211yescharacteristic
45C2×C42×D59C2211yescharacteristic, complemented
46C2×C42×D59C2211yescharacteristic, complemented
47C59⋊#401C2211yescharacteristic, complemented
48C59⋊#401C2211yescharacteristic, complemented
49C59⋊#401C2211yescharacteristic, complemented
50C59⋊#401C2211yescharacteristic, complemented
51#16837344C2211yescharacteristic, complemented
52#16837344C2211yescharacteristic, complemented
53#16837344C2211yescharacteristic, complemented
54#16837343C2211yescharacteristic, complemented
55#16837343C2211yescharacteristic, complemented
56#16837343C2211yescharacteristic, complemented
57#16837341C2211yescharacteristic, complemented
58#16837341C2211yescharacteristic, complemented
59#16837341C2211yescharacteristic, complemented
60#16837340C2211yescharacteristic, complemented
61#16837340C2211yescharacteristic, complemented
62#16837340C2211yescharacteristic, complemented
63#16837330C2211yescharacteristic, complemented
64#16837330C2211yescharacteristic, complemented
65#16837330C2211yescharacteristic, complemented
66#16837330C2211yescharacteristic, complemented
67#16837330C2211yescharacteristic, complemented
68#16837330C2211yescharacteristic, complemented
69#16837327C2211yescharacteristic, complemented
70#16837327C2211yescharacteristic, complemented
71#16837327C2211yescharacteristic, complemented
72#16837325C2211yescharacteristic, complemented
73#16837325C2211yescharacteristic, complemented
74#16837325C2211yescharacteristic, complemented
75#16837296C2211yescharacteristic, complemented
76#16837296C2211yescharacteristic, complemented
77#16837296C2211yescharacteristic, complemented
78#16837295C2211yescharacteristic, complemented
79#16837295C2211yescharacteristic, complemented
80#16837295C2211yescharacteristic, complemented
81#16837290C2211yescharacteristic, complemented
82#16837290C2211yescharacteristic, complemented
83#16837290C2211yescharacteristic, complemented
84#16837288C2211yescharacteristic, complemented
85#16837288C2211yescharacteristic, complemented
86#16837288C2211yescharacteristic, complemented
87#16837286C2211yescharacteristic, complemented
88#16837286C2211yescharacteristic, complemented
89#16837286C2211yescharacteristic, complemented
90#16837285C2211yescharacteristic, complemented
91#16837285C2211yescharacteristic, complemented
92#16837285C2211yescharacteristic, complemented
93#16837283C2211yescharacteristic, complemented
94#16837283C2211yescharacteristic, complemented
95#16837283C2211yescharacteristic, complemented
96#16837278C2211yescharacteristic
97#16837278C2211yescharacteristic
98#16837278C2211yescharacteristic
99#16837278C2211yescharacteristic
100#16837278C2211yescharacteristic
101#16837278C2211yescharacteristic
102#16837278C2211yescharacteristic
103#16837278C2211yescharacteristic
104#16837278C2211yescharacteristic
105#16837278C2211yescharacteristic
106#16837278C2211yescharacteristic
107#16837278C2211yescharacteristic
108#16837278C2211yescharacteristic
109#16837278C2211yescharacteristic
110#16837278C2211yescharacteristic
111#16837278C2211yescharacteristic
112#16837278C2211yescharacteristic
113#16837278C2211yescharacteristic
114#16837278C2211yescharacteristic
115#16837278C2211yescharacteristic
116#16837278C2211yescharacteristic
117#16837278C2211yescharacteristic
118#16837278C2211yescharacteristic
119#16837278C2211yescharacteristic
120#16837277C2211yescharacteristic
121#16837277C2211yescharacteristic
122#16837276C2211yescharacteristic, complemented
123#16837276C2211yescharacteristic, complemented
124#16837276C2211yescharacteristic, complemented
125#16837276C2211yescharacteristic, complemented
126#16837276C2211yescharacteristic, complemented
127#16837276C2211yescharacteristic, complemented
128#16837276C2211yescharacteristic, complemented
129#16837276C2211yescharacteristic, complemented
130#16837275C2211yescharacteristic
131#16837275C2211yescharacteristic
132#16837274C2211yescharacteristic
133#16837274C2211yescharacteristic
134#16837273C2211yescharacteristic, complemented
135#16837273C2211yescharacteristic, complemented
136#16837273C2211yescharacteristic, complemented
137#16837273C2211yescharacteristic, complemented
138#16837273C2211yescharacteristic, complemented
139#16837273C2211yescharacteristic, complemented
140#16837273C2211yescharacteristic, complemented
141#16837273C2211yescharacteristic, complemented
142#16837270C2211yescharacteristic, complemented
143#16837269C2211yescharacteristic, complemented
144#16837269C2211yescharacteristic, complemented
145#16837269C2211yescharacteristic, complemented
146#16837263C2211yescharacteristic
147#16837263C2211yescharacteristic
148#16837263C2211yescharacteristic
149#16837263C2211yescharacteristic
150#16837262C2211yescharacteristic
151#16837261C2211yescharacteristic, complemented
152#16837261C2211yescharacteristic, complemented
153#16837260C2211yescharacteristic
154#16837260C2211yescharacteristic
155#16837259C2211yescharacteristic, complemented
156#16837259C2211yescharacteristic, complemented
157#16837258C2211yescharacteristic
158#16837258C2211yescharacteristic
159C22⋊C4×Dic59C2211yescharacteristic
160C22⋊C4×Dic59C2211yescharacteristic
161C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
162C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
163C4×C22⋊Dic59C2211yescharacteristic
164#16837249C2211yescharacteristic, complemented
165#16837249C2211yescharacteristic, complemented
166C2×C59⋊#95C2211yescharacteristic
167C2×C59⋊#95C2211yescharacteristic
168#95×D59C2211yescharacteristic, complemented
169#95×D59C2211yescharacteristic, complemented
170#95×D59C2211yescharacteristic, complemented
171#95×D59C2211yescharacteristic, complemented
172C2×#126×C59C2211yescharacteristic, complemented
173C22×C22⋊C4×C59C2211yescharacteristic
174C59×#397C2211yescharacteristic, complemented
175C59×#397C2211yescharacteristic, complemented
176C59×#397C2211yescharacteristic, complemented
177C59×#396C2211yescharacteristic, complemented
178C59×#388C2211yescharacteristic, complemented
179C59×#388C2211yescharacteristic, complemented
180C59×#388C2211yescharacteristic, complemented
181C59×#385C2211yescharacteristic
182C59×#385C2211yescharacteristic
183C59×#380C2211yescharacteristic
184C59×#379C2211yescharacteristic
185C59×#379C2211yescharacteristic
186C4×C22⋊C4×C59C2211yescharacteristic
187C24×D59C2311yescharacteristic
188C22×C22⋊D59—24no—
189C22×C22⋊D59—24no—
190C22×C22⋊D59—24no—
191C22×C22⋊D59C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C23×Dic59C2311yescharacteristic
196C23×Dic59C2311yescharacteristic
197C23×Dic59C2311yescharacteristic
198C22×C4×D59—24no—
199C22×C4×D59—42no—
200C22×C4×D59—42no—
201C22×C4×D59C2311yescharacteristic
202C22×C4×D59C2311yescharacteristic
203C22×C4×D59C2311yescharacteristic
204C22×C4×D59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213#14273720—42no—
214#14273720—42no—
215#14273720—42no—
216C2×C4⋊Dic59C2311yescharacteristic
217C2×C4⋊Dic59C2311yescharacteristic
218C2×C4⋊Dic59C2311yescharacteristic
219C2×C4⋊Dic59C2311yescharacteristic
220C2×C4⋊Dic59C2311yescharacteristic
221C2×C4⋊Dic59C2311yescharacteristic
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
234C4⋊C4×D59—42no—
235C4⋊C4×D59—42no—
236C2×C22⋊Dic59—42no—
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×(C2×D59)⋊C4—24no—
254C2×(C2×D59)⋊C4C2311yescharacteristic
255C2×(C2×D59)⋊C4C2311yescharacteristic
256C2×(C2×D59)⋊C4C2311yescharacteristic
257C2×(C2×D59)⋊C4C2311yescharacteristic
258C2×(C2×D59)⋊C4C2311yescharacteristic
259C2×(C2×D59)⋊C4C2311yescharacteristic
260C2×(C2×D59)⋊C4C2311yescharacteristic
261C2×(C2×D59)⋊C4C2311yescharacteristic
262C2×(C2×D59)⋊C4C2311yescharacteristic
263C2×(C2×D59)⋊C4C2311yescharacteristic
264C2×(C2×D59)⋊C4C2311yescharacteristic
265C2×(C2×D59)⋊C4C2311yescharacteristic
266C22⋊C4×D59—24no—
267C22⋊C4×D59—24no—
268C22⋊C4×D59—24no—
269C22⋊C4×D59—24no—
270C2×C4×Dic59C2311yescharacteristic
271C2×C4×Dic59C2311yescharacteristic
272C2×C4×Dic59C2311yescharacteristic
273C2×C4×Dic59C2311yescharacteristic
274C2×C4×Dic59C2311yescharacteristic
275C2×C4×Dic59C2311yescharacteristic
276C42×D59—42no—
277C42×D59—42no—
278C59⋊#95C2311yescharacteristic
279C59⋊#95C2311yescharacteristic
280C59⋊#95C2311yescharacteristic
281C59⋊#95C2311yescharacteristic
282C59⋊#95C2311yescharacteristic
283C59⋊#95C2311yescharacteristic
284C59⋊#95C2311yescharacteristic
285C59⋊#95C2311yescharacteristic
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
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C25×C59C2311yescharacteristic
327C23×C4×C59C2311yescharacteristic
328C23×C4×C59C2311yescharacteristic
329#126×C59—42no—
330C2×C4⋊C4×C59C2311yescharacteristic
331C2×C4⋊C4×C59C2311yescharacteristic
332C2×C4⋊C4×C59C2311yescharacteristic
333C2×C4⋊C4×C59C2311yescharacteristic
334C2×C4⋊C4×C59C2311yescharacteristic
335C2×C4⋊C4×C59C2311yescharacteristic
336C2×C22⋊C4×C59—42no—
337C2×C22⋊C4×C59C2311yescharacteristic
338C2×C22⋊C4×C59C2311yescharacteristic
339C2×C22⋊C4×C59C2311yescharacteristic
340C2×C22⋊C4×C59C2311yescharacteristic
341C2×C22⋊C4×C59C2311yescharacteristic
342C2×C22⋊C4×C59C2311yescharacteristic
343C2×C22⋊C4×C59C2311yescharacteristic
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×C42×C59C2311yescharacteristic
354C2×C42×C59C2311yescharacteristic
355#95×C59C2311yescharacteristic
356#95×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
373C23×D59—41no—
374C23×D59—41no—
375C23×D59—41no—
376C23×D59—41no—
377C23×D59#4114yes—
378C23×D59#4114yes—
379C23×D59#4114yes—
380C23×D59C2411yescharacteristic
381C23×D59C2411yescharacteristic
382C22×C4×C59—22no—
383C22×C4×C59—22no—
384C22×C4×C59—22no—
385C22×C4×C59—41no—
386C22×C4×C59—41no—
387C22×C4×C59—41no—
388C22×C4×C59C2411yescharacteristic
389C22×C4×C59C2411yescharacteristic
390C22×C4×C59C2411yescharacteristic
391C22×C4×C59C2411yescharacteristic
392C22×C4×C59C2411yescharacteristic
393C22×C4×C59C2411yescharacteristic
394C22×C4×C59C2411yescharacteristic
395C22×C4×C59C2411yescharacteristic
396C22×C4×C59C2411yescharacteristic
397C22×C4×C59C2411yescharacteristic
398C22×C4×C59C2411yescharacteristic
399C22×C4×C59C2411yescharacteristic
400C2×C22⋊D59—22no—
401C2×C22⋊D59—22no—
402C2×C22⋊D59—22no—
403C2×C22⋊D59—22no—
404C2×C22⋊D59—22no—
405C2×C22⋊D59—22no—
406C2×C22⋊D59—22no—
407C2×C22⋊D59—22no—
408C2×C22⋊D59—22no—
409C2×C22⋊D59—22no—
410C2×C22⋊D59—22no—
411C2×C22⋊D59—22no—
412C2×C22⋊D59—416no—
413C22×Dic59—22no—
414C22×Dic59—22no—
415C22×Dic59—22no—
416C22×Dic59—22no—
417C22×Dic59—22no—
418C22×Dic59—22no—
419C22×Dic59—41no—
420C22×Dic59—41no—
421C22×Dic59—41no—
422C22×Dic59C2411yescharacteristic
423C22×Dic59C2411yescharacteristic
424C22×Dic59C2411yescharacteristic
425C22×Dic59C2411yescharacteristic
426C22×Dic59C2411yescharacteristic
427C22×Dic59C2411yescharacteristic
428C22×Dic59C2411yescharacteristic
429C22×Dic59C2411yescharacteristic
430C22×Dic59C2411yescharacteristic
431C22×Dic59C2411yescharacteristic
432C22×Dic59C2411yescharacteristic
433C22×Dic59C2411yescharacteristic
434C22×Dic59C2411yescharacteristic
435C22×Dic59C2411yescharacteristic
436C2×C4×D59—22no—
437C2×C4×D59—22no—
438C2×C4×D59—22no—
439C2×C4×D59—22no—
440C2×C4×D59—22no—
441C2×C4×D59—22no—
442C2×C4×D59—22no—
443C2×C4×D59—22no—
444C2×C4×D59—22no—
445C2×C4×D59—22no—
446C2×C4×D59—22no—
447C2×C4×D59—22no—
448C2×C4×D59—22no—
449C2×C4×D59—22no—
450C2×C4×D59—22no—
451C2×C4×D59—22no—
452C2×C4×D59—416no—
453C2×C4×D59—41no—
454C2×C4×D59—41no—
455C2×C4×D59—41no—
456C2×C4×D59—41no—
457C2×C4×D59—41no—
458C2×C4×D59—41no—
459C2×C4×D59—41no—
460C2×C4×D59—41no—
461C2×C4×D59—41no—
462C2×C4×D59—41no—
463C2×C4×D59—41no—
464C2×C4×D59—41no—
465C2×C4×D59—41no—
466C2×C4×D59—41no—
467C2×C4×D59—41no—
468C2×C4×D59—41no—
469C2×C4×D59—41no—
470C2×C4×D59—41no—
471C2×C4×D59—41no—
472C2×C4×D59—41no—
473C4⋊C4×C59—22no—
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—41no—
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—22no—
496C42×C59—41no—
497C22⋊Dic59—22no—
498C22⋊Dic59—22no—
499C22⋊Dic59—22no—
500C22⋊Dic59—22no—
501C22⋊Dic59—22no—
502C22⋊Dic59—22no—
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—22no—
517(C2×D59)⋊C4—22no—
518(C2×D59)⋊C4—22no—
519(C2×D59)⋊C4—22no—
520(C2×D59)⋊C4—22no—
521(C2×D59)⋊C4—22no—
522(C2×D59)⋊C4—22no—
523(C2×D59)⋊C4—22no—
524(C2×D59)⋊C4—22no—
525C4⋊Dic59—22no—
526C4⋊Dic59—41no—
527C4⋊Dic59—41no—
528C4⋊Dic59—41no—
529C4⋊Dic59—41no—
530C4⋊Dic59—41no—
531Dic59⋊C4—22no—
532Dic59⋊C4—22no—
533Dic59⋊C4—41no—
534Dic59⋊C4—41no—
535Dic59⋊C4—41no—
536Dic59⋊C4—41no—
537Dic59⋊C4—41no—
538Dic59⋊C4—41no—
539Dic59⋊C4—41no—
540Dic59⋊C4—41no—
541Dic59⋊C4—41no—
542Dic59⋊C4—41no—
543C4×Dic59—22no—
544C4×Dic59—22no—
545C4×Dic59—22no—
546C4×Dic59—41no—
547C4×Dic59—41no—
548C4×Dic59—41no—
549C23×C59—21no—
550C23×C59—21no—
551C23×C59—21no—
552C23×C59—21no—
553C23×C59—21no—
554C23×C59—21no—
555C23×C59—21no—
556C23×C59—21no—
557C23×C59—21no—
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—44no—
568C23×C59—44no—
569C23×C59—44no—
570C23×C59—82no—
571C23×C59—82no—
572C23×C59—82no—
573C23×C59—82no—
574C23×C59C2×#4112yes—
575C23×C59C2×#4112yes—
576C23×C59C2×#4112yes—
577C23×C59C2511yescharacteristic
578C22×D59—21no—
579C22×D59—21no—
580C22×D59—21no—
581C22×D59—21no—
582C22×D59—21no—
583C22×D59—21no—
584C22×D59—21no—
585C22×D59—21no—
586C22×D59—44no—
587C22×D59—44no—
588C22×D59—44no—
589C22×D59—44no—
590C22×D59—44no—
591C22×D59—44no—
592C22×D59#126116yescomplemented
593C22×D59C2×#4112yes—
594C22×D59C2×#4112yes—
595C22×D59C2×#4112yes—
596C22×D59C2×#4112yes—
597C22×D59C2×#4112yes—
598C22×D59C2×#4112yes—
599C2×C4×C59—21no—
600C2×C4×C59—21no—
601C2×C4×C59—21no—
602C2×C4×C59—21no—
603C2×C4×C59—21no—
604C2×C4×C59—21no—
605C2×C4×C59—21no—
606C2×C4×C59—21no—
607C2×C4×C59—21no—
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—44no—
635C2×C4×C59—82no—
636C2×C4×C59H(5,𝔽2)12yes—
637C22⋊D59—44no—
638C22⋊D59—44no—
639C22⋊D59—44no—
640C22⋊D59—44no—
641C2×Dic59—21no—
642C2×Dic59—21no—
643C2×Dic59—21no—
644C2×Dic59—21no—
645C2×Dic59—21no—
646C2×Dic59—21no—
647C2×Dic59—21no—
648C2×Dic59—21no—
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—44no—
683C2×Dic59—44no—
684C2×Dic59—82no—
685C2×Dic59H(5,𝔽2)12yes—
686C4×D59—28no—
687C4×D59—44no—
688C4×D59—44no—
689C4×D59—44no—
690C4×D59—44no—
691C4×D59—44no—
692C4×D59—44no—
693C4×D59—44no—
694C4×D59—44no—
695C4×D59—44no—
696C4×D59—82no—
697C4×D59—82no—
698#34995—591nomaximal, Sylow
699C22×C59—22no—
700C22×C59—22no—
701C22×C59—22no—
702C22×C59—22no—
703C22×C59—22no—
704C22×C59—22no—
705C22×C59—41no—
706C22×C59—41no—
707C22×C59—41no—
708C22×C59—41no—
709C22×C59—41no—
710C22×C59—41no—
711C22×C59—41no—
712C22×C59—41no—
713C22×C59—41no—
714C22×C59—41no—
715C22×C59—41no—
716C22×C59—41no—
717C22×C59—41no—
718C22×C59—41no—
719C22×C59—88no—
720C22×C59C2×#12614yes—
721C22×C59C22×#4111yescharacteristic
722C22×C59C22×#4111yescharacteristic
723C22×C59C22×#4111yescharacteristic
724C22×C59C2×H(5,𝔽2)11yescharacteristic
725C22×C59C2×H(5,𝔽2)11yescharacteristic
726C22×C59#58511yescharacteristic
727C22×C59#58511yescharacteristic
728C2×D59—22no—
729C2×D59—22no—
730C2×D59—22no—
731C2×D59—22no—
732C2×D59—22no—
733C2×D59—22no—
734C2×D59—22no—
735C2×D59—22no—
736C2×D59—22no—
737C2×D59—22no—
738C2×D59—22no—
739C2×D59—22no—
740C2×D59—416no—
741C2×D59C2×#12614yes—
742C2×D59C2×#12614yes—
743C4×C59—22no—
744C4×C59—41no—
745C4×C59—41no—
746C4×C59—41no—
747C4×C59—41no—
748C4×C59—41no—
749C4×C59—41no—
750C4×C59—41no—
751C4×C59—41no—
752C4×C59—41no—
753C4×C59—41no—
754C4×C59—41no—
755Dic59—22no—
756Dic59—41no—
757Dic59—41no—
758Dic59—41no—
759Dic59—41no—
760Dic59—41no—
761Dic59—41no—
762Dic59—41no—
763Dic59—41no—
764Dic59—41no—
765Dic59—41no—
766Dic59—41no—
767Dic59—41no—
768Dic59—41no—
769#2852—591no—
770#2852—591no—
771#2852—591no—
772#2852—591no—
773#2643—591no—
774#2643—591no—
775#2643—591no—
776#2643—591no—
777#2510—591no—
778#2510—591no—
779#2510—591no—
780#2510—591no—
781#2493—591no—
782#2493—591no—
783#2493—591no—
784#2493—591no—
785#2481—591no—
786#2481—591no—
787#2481—591no—
788#2481—591no—
789#2480—591no—
790#2480—591no—
791#2480—591no—
792#2480D5911yescharacteristic, complemented
793#2315—591no—
794#2315—591no—
795#2308—591no—
796#2308—591no—
797C2×#386—591no—
798C2×#385—591no—
799C2×C4×C22⋊C4—591no—
800C2×C59—24no—
801C2×C59—81no—
802C2×C59—81no—
803C2×C59C22×#12611yescharacteristic
804C2×C59#345911yescharacteristic
805C2×C59#345911yescharacteristic
806C2×C59#349011yescharacteristic
807C2×C59#349111yescharacteristic
808C2×C59#350511yescharacteristic
809C2×C59#350511yescharacteristic
810D59—24no—
811D59—24no—
812C23×D4—591no—
813C24×C4—591no—
814C2×#126—591no—
815C2×#126—591no—
816C2×#126—591no—
817C2×#126C2×D5911yescharacteristic, complemented
818C22×C4⋊C4—591no—
819C22×C4⋊C4—591no—
820C22×C22⋊C4—591no—
821C22×C22⋊C4—591no—
822C22×C22⋊C4—591no—
823C22×C22⋊C4—591no—
824C22×C22⋊C4—591no—
825C22×C22⋊C4—591no—
826C22×C22⋊C4C2×D5911yescharacteristic
827C22×C42—591no—
828C22×C42—591no—
829#401—591no—
830#401—591no—
831#401—591no—
832#401—591no—
833#400—591no—
834#400—591no—
835#400—591no—
836#400—591no—
837#400—591no—
838#400—591no—
839#400—591no—
840#400—591no—
841#400—591no—
842#400—591no—
843#400—591no—
844#400—591no—
845#397—591no—
846#397—591no—
847#397—591no—
848#397—591no—
849#397—591no—
850#397—591no—
851#397—591no—
852#397—591no—
853#397—591no—
854#397C2×D5911yescharacteristic, complemented
855#397C2×D5911yescharacteristic, complemented
856#397C2×D5911yescharacteristic, complemented
857#396—591no—
858#396—591no—
859#396—591no—
860#396C2×D5911yescharacteristic, complemented
861#388—591no—
862#388—591no—
863#388—591no—
864#388—591no—
865#388—591no—
866#388—591no—
867#388—591no—
868#388—591no—
869#388—591no—
870#388C2×D5911yescharacteristic, complemented
871#388C2×D5911yescharacteristic, complemented
872#388C2×D5911yescharacteristic, complemented
873#387—591no—
874#387—591no—
875#387—591no—
876#387—591no—
877#387—591no—
878#387—591no—
879#387—591no—
880#387—591no—
881#387—591no—
882#387—591no—
883#387—591no—
884#387—591no—
885#386—591no—
886#386—591no—
887#386—591no—
888#386—591no—
889#386—591no—
890#386—591no—
891#386—591no—
892#386—591no—
893#386—591no—
894#386—591no—
895#386—591no—
896#386—591no—
897#386—591no—
898#386—591no—
899#386—591no—
900#386—591no—
901#386—591no—
902#386—591no—
903#386—591no—
904#386—591no—
905#386—591no—
906#386—591no—
907#386—591no—
908#386—591no—
909#385—591no—
910#385—591no—
911#385—591no—
912#385—591no—
913#385—591no—
914#385—591no—
915#385—591no—
916#385—591no—
917#385—591no—
918#385—591no—
919#385—591no—
920#385—591no—
921#385—591no—
922#385—591no—
923#385—591no—
924#385—591no—
925#385—591no—
926#385—591no—
927#385—591no—
928#385—591no—
929#385—591no—
930#385—591no—
931#385C2×D5911yescharacteristic
932#385C2×D5911yescharacteristic
933#383—591no—
934#383—591no—
935#383—591no—
936#383—591no—
937#381—591no—
938#381—591no—
939#381—591no—
940#381—591no—
941#380—591no—
942#380—591no—
943#380—591no—
944#380—591no—
945#380—591no—
946#380—591no—
947#380—591no—
948#380C2×D5911yescharacteristic
949#379—591no—
950#379—591no—
951#379C2×D5911yescharacteristic
952#379C2×D5911yescharacteristic
953C4×C22⋊C4—591no—
954C4×C22⋊C4—591no—
955C4×C22⋊C4—591no—
956C4×C22⋊C4—591no—
957C4×C22⋊C4—591no—
958C4×C22⋊C4—591no—
959C4×C22⋊C4—591no—
960C4×C22⋊C4C2×D5911yescharacteristic
961C2×#95—591no—
962C2×#95—591no—
963C2×#95—591no—
964C2×#95—591no—
965C2×#95—591no—
966C2×#95—591no—
967C59#3499511yescharacteristic, complemented, Sylow
968C25—591no—
969C25C22×D5911yescharacteristic
970C22×D4—591no—
971C22×D4—591no—
972C22×D4—591no—
973C22×D4—591no—
974C22×D4—1184no—
975C22×D4—1184no—
976C22×D4—1184no—
977C23×C4—591no—
978C23×C4—591no—
979C23×C4—591no—
980C23×C4—591no—
981C23×C4—591no—
982C23×C4—591no—
983C23×C4—591no—
984C23×C4—591no—
985C23×C4—591no—
986C23×C4—591no—
987C23×C4—591no—
988C23×C4—591no—
989C23×C4—591no—
990C23×C4—591no—
991C23×C4—591no—
992C23×C4—1184no—
993C23×C4—2362no—
994C23×C4—2362no—
995C23×C4C22×D5911yescharacteristic
996C23×C4C22×D5911yescharacteristic
997#126—42no—
998#126—2362no—
999#126—2362no—
1000#126—2362no—
1001C2×C4⋊C4—591no—
1002C2×C4⋊C4—591no—
1003C2×C4⋊C4—591no—
1004C2×C4⋊C4—591no—
1005C2×C4⋊C4—591no—
1006C2×C4⋊C4—591no—
1007C2×C4⋊C4—591no—
1008C2×C4⋊C4—591no—
1009C2×C4⋊C4—591no—
1010C2×C4⋊C4—591no—
1011C2×C4⋊C4—591no—
1012C2×C4⋊C4—591no—
1013C2×C4⋊C4—591no—
1014C2×C4⋊C4—591no—
1015C2×C4⋊C4—591no—
1016C2×C4⋊C4—591no—
1017C2×C4⋊C4—591no—
1018C2×C4⋊C4—591no—
1019C2×C4⋊C4—2362no—
1020C2×C4⋊C4—2362no—
1021C2×C4⋊C4C22×D5911yescharacteristic
1022C2×C4⋊C4C22×D5911yescharacteristic
1023C2×C4⋊C4C22×D5911yescharacteristic
1024C2×C4⋊C4C22×D5911yescharacteristic
1025C2×C4⋊C4C22×D5911yescharacteristic
1026C2×C4⋊C4C22×D5911yescharacteristic
1027C2×C22⋊C4—42no—
1028C2×C22⋊C4—591no—
1029C2×C22⋊C4—591no—
1030C2×C22⋊C4—591no—
1031C2×C22⋊C4—591no—
1032C2×C22⋊C4—591no—
1033C2×C22⋊C4—591no—
1034C2×C22⋊C4—591no—
1035C2×C22⋊C4—591no—
1036C2×C22⋊C4—591no—
1037C2×C22⋊C4—591no—
1038C2×C22⋊C4—591no—
1039C2×C22⋊C4—591no—
1040C2×C22⋊C4—591no—
1041C2×C22⋊C4—591no—
1042C2×C22⋊C4—591no—
1043C2×C22⋊C4—591no—
1044C2×C22⋊C4—591no—
1045C2×C22⋊C4—591no—
1046C2×C22⋊C4—591no—
1047C2×C22⋊C4—591no—
1048C2×C22⋊C4—591no—
1049C2×C22⋊C4—591no—
1050C2×C22⋊C4—591no—
1051C2×C22⋊C4—591no—
1052C2×C22⋊C4—591no—
1053C2×C22⋊C4—591no—
1054C2×C22⋊C4—591no—
1055C2×C22⋊C4—591no—
1056C2×C22⋊C4—1184no—
1057C2×C22⋊C4—1184no—
1058C2×C22⋊C4—1184no—
1059C2×C22⋊C4—1184no—
1060C2×C22⋊C4—1184no—
1061C2×C22⋊C4—2362no—
1062C2×C22⋊C4C22×D5911yescharacteristic
1063C2×C22⋊C4C22×D5911yescharacteristic
1064C2×C22⋊C4C22×D5911yescharacteristic
1065C2×C22⋊C4C22×D5911yescharacteristic
1066C2×C22⋊C4C22×D5911yescharacteristic
1067C2×C22⋊C4C22×D5911yescharacteristic
1068C2×C22⋊C4C22×D5911yescharacteristic
1069C2×C22⋊C4C22×D5911yescharacteristic
1070C2×C22⋊C4C22×D5911yescharacteristic
1071C2×C22⋊C4C22×D5911yescharacteristic
1072C2×C22⋊C4C22×D5911yescharacteristic
1073C2×C22⋊C4C22×D5911yescharacteristic
1074C2×C22⋊C4C22×D5911yescharacteristic
1075C2×C22⋊C4C22×D5911yescharacteristic
1076C2×C22⋊C4C22×D5911yescharacteristic
1077C2×C22⋊C4C22×D5911yescharacteristic
1078C2×C42—591no—
1079C2×C42—591no—
1080C2×C42—591no—
1081C2×C42—591no—
1082C2×C42—591no—
1083C2×C42—591no—
1084C2×C42—2362no—
1085C2×C42—2362no—
1086C2×C42C22×D5911yescharacteristic
1087C2×C42C22×D5911yescharacteristic
1088#95—591no—
1089#95—591no—
1090#95—591no—
1091#95—591no—
1092#95—591no—
1093#95—591no—
1094#95—591no—
1095#95—591no—
1096#95—591no—
1097#95—591no—
1098#95—591no—
1099#95—591no—
1100#95—591no—
1101#95—591no—
1102#95—591no—
1103#95—591no—
1104#95—591no—
1105#95—591no—
1106#95—591no—
1107#95—591no—
1108#95—591no—
1109#95—591no—
1110#95—591no—
1111#95—591no—
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#95C22×D5911yescharacteristic
1137#95C22×D5911yescharacteristic
1138#95C22×D5911yescharacteristic
1139#95C22×D5911yescharacteristic
1140#95C22×D5911yescharacteristic
1141#95C22×D5911yescharacteristic
1142#95C22×D5911yescharacteristic
1143#95C22×D5911yescharacteristic
1144C24—22no—
1145C24—22no—
1146C24—22no—
1147C24—41no—
1148C24—41no—
1149C24—41no—
1150C24—41no—
1151C24—591no—
1152C24—591no—
1153C24—594no—
1154C24—594no—
1155C24—594no—
1156C24—2361no—
1157C24—2361no—
1158C24—2361no—
1159C24—2361no—
1160C24C23×D5911yescharacteristic
1161C24C23×D5911yescharacteristic
1162C24C23×D5911yescharacteristic
1163C2×D4—1182no—
1164C2×D4—1182no—
1165C2×D4—1182no—
1166C2×D4—1182no—
1167C2×D4—1182no—
1168C2×D4—1182no—
1169C2×D4—1182no—
1170C2×D4—1182no—
1171C2×D4—1182no—
1172C2×D4—1182no—
1173C2×D4—1182no—
1174C2×D4—1182no—
1175C2×D4—23616no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—591no—
1183C22×C4—591no—
1184C22×C4—591no—
1185C22×C4—591no—
1186C22×C4—591no—
1187C22×C4—591no—
1188C22×C4—591no—
1189C22×C4—591no—
1190C22×C4—591no—
1191C22×C4—591no—
1192C22×C4—591no—
1193C22×C4—591no—
1194C22×C4—591no—
1195C22×C4—591no—
1196C22×C4—1182no—
1197C22×C4—1182no—
1198C22×C4—1182no—
1199C22×C4—1182no—
1200C22×C4—1182no—
1201C22×C4—1182no—
1202C22×C4—1182no—
1203C22×C4—1182no—
1204C22×C4—1182no—
1205C22×C4—1182no—
1206C22×C4—1182no—
1207C22×C4—1182no—
1208C22×C4—1182no—
1209C22×C4—1182no—
1210C22×C4—1182no—
1211C22×C4—1182no—
1212C22×C4—1182no—
1213C22×C4—1182no—
1214C22×C4—1182no—
1215C22×C4—1182no—
1216C22×C4—1182no—
1217C22×C4—1182no—
1218C22×C4—2361no—
1219C22×C4—2361no—
1220C22×C4—2361no—
1221C22×C4—2361no—
1222C22×C4—2361no—
1223C22×C4—2361no—
1224C22×C4—2361no—
1225C22×C4—2361no—
1226C22×C4—2361no—
1227C22×C4—2361no—
1228C22×C4—2361no—
1229C22×C4—2361no—
1230C22×C4—2361no—
1231C22×C4—2361no—
1232C22×C4—2361no—
1233C22×C4—2361no—
1234C22×C4—2361no—
1235C22×C4—2361no—
1236C22×C4—2361no—
1237C22×C4—2361no—
1238C22×C4—23616no—
1239C22×C4—2361no—
1240C22×C4—2361no—
1241C22×C4—2361no—
1242C22×C4C23×D5911yescharacteristic
1243C22×C4C23×D5911yescharacteristic
1244C22×C4C23×D5911yescharacteristic
1245C22×C4C23×D5911yescharacteristic
1246C22×C4C23×D5911yescharacteristic
1247C22×C4C23×D5911yescharacteristic
1248C22×C4C23×D5911yescharacteristic
1249C22×C4C23×D5911yescharacteristic
1250C22×C4C23×D5911yescharacteristic
1251C22×C4C23×D5911yescharacteristic
1252C22×C4C23×D5911yescharacteristic
1253C22×C4C23×D5911yescharacteristic
1254C4⋊C4—22no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—1182no—
1261C4⋊C4—1182no—
1262C4⋊C4—1182no—
1263C4⋊C4—2361no—
1264C4⋊C4—2361no—
1265C4⋊C4—2361no—
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—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
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—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—1182no—
1295C22⋊C4—1182no—
1296C22⋊C4—1182no—
1297C22⋊C4—1182no—
1298C22⋊C4—1182no—
1299C22⋊C4—1182no—
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—1182no—
1311C22⋊C4—1182no—
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—
1322C42—22no—
1323C42—41no—
1324C42—1182no—
1325C42—1182no—
1326C42—1182no—
1327C42—2361no—
1328C42—2361no—
1329C42—2361no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—44no—
1349C23—44no—
1350C23—44no—
1351C23—82no—
1352C23—82no—
1353C23—82no—
1354C23—82no—
1355C23—592no—
1356C23—592no—
1357C23—592no—
1358C23—592no—
1359C23—592no—
1360C23—592no—
1361C23—5916no—
1362C23—1181no—
1363C23—1181no—
1364C23—1181no—
1365C23—1181no—
1366C23—1181no—
1367C23—1181no—
1368C23—1181no—
1369C23—1181no—
1370C23—2364no—
1371C23—2364no—
1372C23—2364no—
1373C23—2364no—
1374C23—2364no—
1375C23—2364no—
1376C23#41×D5912yes—
1377C23#41×D5912yes—
1378C23#41×D5912yes—
1379C23C24×D5911yescharacteristic
1380D4—2364no—
1381D4—2364no—
1382D4—2364no—
1383D4—2364no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
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—44no—
1420C2×C4—82no—
1421C2×C4—592no—
1422C2×C4—1188no—
1423C2×C4—1181no—
1424C2×C4—1181no—
1425C2×C4—1181no—
1426C2×C4—1181no—
1427C2×C4—1181no—
1428C2×C4—1181no—
1429C2×C4—1181no—
1430C2×C4—1181no—
1431C2×C4—1181no—
1432C2×C4—1181no—
1433C2×C4—1181no—
1434C2×C4—1181no—
1435C2×C4—1181no—
1436C2×C4—1181no—
1437C2×C4—1181no—
1438C2×C4—1181no—
1439C2×C4—1181no—
1440C2×C4—1181no—
1441C2×C4—1181no—
1442C2×C4—1181no—
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—4722no—
1465C2×C4—4722no—
1466C2×C4—4722no—
1467C2×C4—2364no—
1468C2×C4—2364no—
1469C2×C4—2364no—
1470C2×C4—2364no—
1471C2×C4—2364no—
1472C2×C4—2364no—
1473C2×C4—2364no—
1474C2×C4—2364no—
1475C2×C4—2364no—
1476C2×C4—2364no—
1477C2×C4—2364no—
1478C2×C4#1427377212yes—
1479C22—22no—
1480C22—22no—
1481C22—22no—
1482C22—22no—
1483C22—22no—
1484C22—22no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—88no—
1500C22—594no—
1501C22—594no—
1502C22—1182no—
1503C22—1182no—
1504C22—1182no—
1505C22—1182no—
1506C22—1182no—
1507C22—1182no—
1508C22—1182no—
1509C22—1182no—
1510C22—1182no—
1511C22—1182no—
1512C22—1182no—
1513C22—1182no—
1514C22—23616no—
1515C22#126×D5914yes—
1516C22C2×#41×D5911yescharacteristic
1517C22C2×#41×D5911yescharacteristic
1518C22C2×#41×D5911yescharacteristic
1519C22H(5,𝔽2)×D5911yescharacteristic
1520C22C2×#1427377211yescharacteristic
1521C22#1683823711yescharacteristic
1522C22#1683823811yescharacteristic
1523C4—22no—
1524C4—41no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—1182no—
1536C4—2361no—
1537C4—2361no—
1538C4—2361no—
1539C4—2361no—
1540C4—2361no—
1541C4—2361no—
1542C4—2361no—
1543C4—2361no—
1544C4—2361no—
1545C4—2361no—
1546C4—2361no—
1547C4—2361no—
1548C4—2361no—
1549C2—24no—
1550C2—81no—
1551C2—81no—
1552C2—1184no—
1553C2—1184no—
1554C2C2×#126×D5911yescharacteristic
1555C2#2143750311yescharacteristic
1556C2#2143750711yescharacteristic
1557C2#2143777811yescharacteristic
1558C2#2143778711yescharacteristic
1559C2#2143792311yescharacteristic
1560C2#2143792711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2480C2
prime radicalC23×C22⋊D59C22
hypercenter#2480D59
hypocenterC59#34995
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2480

Complements

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

NH ≅ G/Ntype
1. #21432410C2semidirect
2. #21432410C2semidirect
3. #21432410C2semidirect
4. #21432408C2semidirect
5. #21430053C2semidirect
6. #21430048C2semidirect
7. #21430048C2semidirect
8. #21430048C2semidirect
9. #21428661C2semidirect
10. #21428659C2semidirect
11. #21428655C2semidirect
12. #21428649C2semidirect
13. #21428487C2semidirect
14. #21428483C2semidirect
15. #21428479C2semidirect
16. #21428475C2semidirect
17. #21428363C2semidirect
18. #21428358C2semidirect
19. #21428353C2semidirect
20. #21428352C2semidirect
21. #21428341C2semidirect
22. #21428339C2semidirect
23. #21428336C2semidirect
24. #21426709C2semidirect
25. #21426707C2semidirect
29. #385×D59C2semidirect
30. C4×C22⋊C4×D59C2semidirect
31. C59×#2480C2semidirect
34. C2×#14273720C22semidirect
35. C2×#14273720C22semidirect
36. C2×#14273720C22semidirect
37. C2×C4⋊C4×D59C22semidirect
38. C2×C4⋊C4×D59C22semidirect
45. C2×C42×D59C22semidirect
46. C2×C42×D59C22semidirect
47. C59⋊#401C22semidirect
48. C59⋊#401C22semidirect
49. C59⋊#401C22semidirect
50. C59⋊#401C22semidirect
51. #16837344C22semidirect
52. #16837344C22semidirect
53. #16837344C22semidirect
54. #16837343C22semidirect
55. #16837343C22semidirect
56. #16837343C22semidirect
57. #16837341C22semidirect
58. #16837341C22semidirect
59. #16837341C22semidirect
60. #16837340C22semidirect
61. #16837340C22semidirect
62. #16837340C22semidirect
63. #16837330C22semidirect
64. #16837330C22semidirect
65. #16837330C22semidirect
66. #16837330C22semidirect
67. #16837330C22semidirect
68. #16837330C22semidirect
69. #16837327C22semidirect
70. #16837327C22semidirect
71. #16837327C22semidirect
72. #16837325C22semidirect
73. #16837325C22semidirect
74. #16837325C22semidirect
75. #16837296C22semidirect
76. #16837296C22semidirect
77. #16837296C22semidirect
78. #16837295C22semidirect
79. #16837295C22semidirect
80. #16837295C22semidirect
81. #16837290C22semidirect
82. #16837290C22semidirect
83. #16837290C22semidirect
84. #16837288C22semidirect
85. #16837288C22semidirect
86. #16837288C22semidirect
87. #16837286C22semidirect
88. #16837286C22semidirect
89. #16837286C22semidirect
90. #16837285C22semidirect
91. #16837285C22semidirect
92. #16837285C22semidirect
93. #16837283C22semidirect
94. #16837283C22semidirect
95. #16837283C22semidirect
122. #16837276C22semidirect
123. #16837276C22semidirect
124. #16837276C22semidirect
125. #16837276C22semidirect
126. #16837276C22semidirect
127. #16837276C22semidirect
128. #16837276C22semidirect
129. #16837276C22semidirect
134. #16837273C22semidirect
135. #16837273C22semidirect
136. #16837273C22semidirect
137. #16837273C22semidirect
138. #16837273C22semidirect
139. #16837273C22semidirect
140. #16837273C22semidirect
141. #16837273C22semidirect
142. #16837270C22semidirect
143. #16837269C22semidirect
144. #16837269C22semidirect
145. #16837269C22semidirect
151. #16837261C22semidirect
152. #16837261C22semidirect
155. #16837259C22semidirect
156. #16837259C22semidirect
161. C4×(C2×D59)⋊C4C22semidirect
162. C4×(C2×D59)⋊C4C22semidirect
164. #16837249C22semidirect
165. #16837249C22semidirect
168. #95×D59C22semidirect
169. #95×D59C22semidirect
170. #95×D59C22semidirect
171. #95×D59C22semidirect
172. C2×#126×C59C22semidirect
174. C59×#397C22semidirect
175. C59×#397C22semidirect
176. C59×#397C22semidirect
177. C59×#396C22semidirect
178. C59×#388C22semidirect
179. C59×#388C22semidirect
180. C59×#388C22semidirect
592. C22×D59#126semidirect
792. #2480D59semidirect
817. C2×#126C2×D59semidirect
854. #397C2×D59semidirect
855. #397C2×D59semidirect
856. #397C2×D59semidirect
860. #396C2×D59semidirect
870. #388C2×D59semidirect
871. #388C2×D59semidirect
872. #388C2×D59semidirect
967. C59#34995semidirect

Maximal subgroups

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

subgroupindex
#214324102
#214324082
#214300532
#214300482
#214286612
#214286592
#214286552
#214286492
#214284872
#214284832
#214284792
#214284752
#214283632
#214283582
#214283532
#214283522
#214283412
#214283392
#214283362
#214267092
#214267072
#214266722
C2×#168372782
#385×D592
C4×C22⋊C4×D592
C59×#24802
#3499559