Finite Group Databasebeta

← #28761437

Subgroups — #28761437

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#21432413C211yesmaximal, characteristic, complemented
2#21432411C211yesmaximal, characteristic, complemented
3#21432409C211yesmaximal, characteristic, complemented
4#21430052C211yesmaximal, characteristic, complemented
5#21430052C211yesmaximal, characteristic, complemented
6#21430051C211yesmaximal, characteristic, complemented
7#21430051C211yesmaximal, characteristic, complemented
8#21428663C211yesmaximal, characteristic, complemented
9#21428661C211yesmaximal, characteristic, complemented
10#21428655C211yesmaximal, characteristic, complemented
11#21428653C211yesmaximal, characteristic, complemented
12#21428488C211yesmaximal, characteristic, complemented
13#21428486C211yesmaximal, characteristic, complemented
14#21428480C211yesmaximal, characteristic, complemented
15#21428478C211yesmaximal, characteristic, complemented
16#21428363C211yesmaximal, characteristic, complemented
17#21428361C211yesmaximal, characteristic, complemented
18#21428355C211yesmaximal, characteristic, complemented
19#21428353C211yesmaximal, characteristic, complemented
20#21428348C211yesmaximal, characteristic, complemented
21#21428346C211yesmaximal, characteristic, complemented
22#21428340C211yesmaximal, characteristic, complemented
23#21428338C211yesmaximal, characteristic, complemented
24#21426707C211yesmaximal, characteristic, complemented
25#21426707C211yesmaximal, characteristic, complemented
26#21426670C211yesmaximal, characteristic
27#21426670C211yesmaximal, characteristic
28#386×D59C211yesmaximal, characteristic
29#385×D59C211yesmaximal, characteristic, complemented
30C2×C4×(C2×D59)⋊C4C211yesmaximal, characteristic, complemented
31C59×#2852C211yesmaximal, characteristic, complemented
32C22×D4×D59C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34C2×#14273722C2211yescharacteristic, complemented
35C2×#14273721C2211yescharacteristic, complemented
36C2×#14273720C2211yescharacteristic, complemented
37C2×C4⋊C4×D59C2211yescharacteristic, complemented
38C2×C4⋊C4×D59C2211yescharacteristic, complemented
39C22×(C2×D59)⋊C4C2211yescharacteristic
40C22×(C2×D59)⋊C4C2211yescharacteristic
41C2×C22⋊C4×D59C2211yescharacteristic
42C2×C22⋊C4×D59C2211yescharacteristic
43C2×C22⋊C4×D59C2211yescharacteristic
44C2×C22⋊C4×D59C2211yescharacteristic
45C2×C22⋊C4×D59C2211yescharacteristic
46C22×C4×Dic59C2211yescharacteristic, complemented
47C59⋊#401C2211yescharacteristic, complemented
48C59⋊#401C2211yescharacteristic, complemented
49C59⋊#401C2211yescharacteristic, complemented
50C59⋊#401C2211yescharacteristic, complemented
51#16837344C2211yescharacteristic, complemented
52#16837344C2211yescharacteristic, complemented
53#16837344C2211yescharacteristic, complemented
54#16837344C2211yescharacteristic, complemented
55#16837343C2211yescharacteristic, complemented
56#16837343C2211yescharacteristic, complemented
57#16837342C2211yescharacteristic, complemented
58#16837342C2211yescharacteristic, complemented
59#16837341C2211yescharacteristic, complemented
60#16837341C2211yescharacteristic, complemented
61#16837340C2211yescharacteristic, complemented
62#16837340C2211yescharacteristic, complemented
63#16837331C2211yescharacteristic, complemented
64#16837331C2211yescharacteristic, complemented
65#16837330C2211yescharacteristic, complemented
66#16837330C2211yescharacteristic, complemented
67#16837330C2211yescharacteristic, complemented
68#16837330C2211yescharacteristic, complemented
69#16837329C2211yescharacteristic, complemented
70#16837329C2211yescharacteristic, complemented
71#16837328C2211yescharacteristic, complemented
72#16837328C2211yescharacteristic, complemented
73#16837327C2211yescharacteristic, complemented
74#16837327C2211yescharacteristic, complemented
75#16837325C2211yescharacteristic, complemented
76#16837325C2211yescharacteristic, complemented
77#16837324C2211yescharacteristic, complemented
78#16837324C2211yescharacteristic, complemented
79#16837296C2211yescharacteristic, complemented
80#16837295C2211yescharacteristic, complemented
81#16837294C2211yescharacteristic, complemented
82#16837293C2211yescharacteristic, complemented
83#16837293C2211yescharacteristic, complemented
84#16837293C2211yescharacteristic, complemented
85#16837292C2211yescharacteristic, complemented
86#16837291C2211yescharacteristic, complemented
87#16837290C2211yescharacteristic, complemented
88#16837289C2211yescharacteristic, complemented
89#16837288C2211yescharacteristic, complemented
90#16837287C2211yescharacteristic, complemented
91#16837286C2211yescharacteristic, complemented
92#16837286C2211yescharacteristic, complemented
93#16837286C2211yescharacteristic, complemented
94#16837285C2211yescharacteristic, complemented
95#16837284C2211yescharacteristic, complemented
96#16837283C2211yescharacteristic, complemented
97#16837282C2211yescharacteristic
98#16837282C2211yescharacteristic
99#16837282C2211yescharacteristic
100#16837281C2211yescharacteristic
101#16837281C2211yescharacteristic
102#16837281C2211yescharacteristic
103#16837280C2211yescharacteristic
104#16837280C2211yescharacteristic
105#16837280C2211yescharacteristic
106#16837280C2211yescharacteristic
107#16837280C2211yescharacteristic
108#16837280C2211yescharacteristic
109#16837279C2211yescharacteristic
110#16837279C2211yescharacteristic
111#16837279C2211yescharacteristic
112#16837278C2211yescharacteristic
113#16837278C2211yescharacteristic
114#16837278C2211yescharacteristic
115#16837278C2211yescharacteristic
116#16837278C2211yescharacteristic
117#16837278C2211yescharacteristic
118#16837277C2211yescharacteristic, complemented
119#16837277C2211yescharacteristic, complemented
120#16837277C2211yescharacteristic, complemented
121#16837276C2211yescharacteristic
122#16837276C2211yescharacteristic
123#16837276C2211yescharacteristic
124#16837276C2211yescharacteristic
125#16837276C2211yescharacteristic, complemented
126#16837276C2211yescharacteristic, complemented
127#16837275C2211yescharacteristic, complemented
128#16837275C2211yescharacteristic, complemented
129#16837275C2211yescharacteristic, complemented
130#16837274C2211yescharacteristic, complemented
131#16837274C2211yescharacteristic, complemented
132#16837274C2211yescharacteristic, complemented
133#16837273C2211yescharacteristic
134#16837273C2211yescharacteristic
135#16837273C2211yescharacteristic
136#16837273C2211yescharacteristic
137#16837273C2211yescharacteristic, complemented
138#16837273C2211yescharacteristic, complemented
139#16837270C2211yescharacteristic, complemented
140#16837269C2211yescharacteristic, complemented
141#16837269C2211yescharacteristic, complemented
142#16837264C2211yescharacteristic
143#16837264C2211yescharacteristic
144#16837264C2211yescharacteristic
145#16837264C2211yescharacteristic
146#16837261C2211yescharacteristic
147#16837261C2211yescharacteristic
148#16837261C2211yescharacteristic, complemented
149#16837261C2211yescharacteristic, complemented
150#16837259C2211yescharacteristic
151#16837259C2211yescharacteristic
152#16837259C2211yescharacteristic, complemented
153#16837259C2211yescharacteristic, complemented
154#16837257C2211yescharacteristic
155#16837257C2211yescharacteristic
156#16837257C2211yescharacteristic
157#16837257C2211yescharacteristic
158C4×(C2×D59)⋊C4C2211yescharacteristic
159C4×(C2×D59)⋊C4C2211yescharacteristic
160C4×(C2×D59)⋊C4C2211yescharacteristic
161C4×(C2×D59)⋊C4C2211yescharacteristic
162C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
163C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
164C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
165C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
166C2×C59⋊#95C2211yescharacteristic, complemented
167C2×C59⋊#95C2211yescharacteristic, complemented
168#95×D59C2211yescharacteristic
169#95×D59C2211yescharacteristic
170#95×D59C2211yescharacteristic, complemented
171#95×D59C2211yescharacteristic, complemented
172C2×#126×C59C2211yescharacteristic, complemented
173C22×C42×C59C2211yescharacteristic, complemented
174C59×#388C2211yescharacteristic, complemented
175C59×#388C2211yescharacteristic, complemented
176C59×#388C2211yescharacteristic, complemented
177C59×#387C2211yescharacteristic, complemented
178C59×#387C2211yescharacteristic, complemented
179C59×#387C2211yescharacteristic, complemented
180C59×#386C2211yescharacteristic
181C59×#386C2211yescharacteristic
182C59×#386C2211yescharacteristic
183C59×#385C2211yescharacteristic, complemented
184C59×#385C2211yescharacteristic, complemented
185C59×#385C2211yescharacteristic, complemented
186C59×#383C2211yescharacteristic, complemented
187C24×D59C2311yescharacteristic
188C24×D59C2311yescharacteristic
189C22×D236C2311yescharacteristic
190C22×C22⋊D59C2311yescharacteristic
191C22×C22⋊D59C2311yescharacteristic
192C2×D4×D59—24no—
193C2×D4×D59—24no—
194C2×D4×D59—24no—
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
212#14273722—42no—
213#14273721—42no—
214#14273720—42no—
215C2×C4⋊Dic59C2311yescharacteristic
216C2×C4⋊Dic59C2311yescharacteristic
217C2×C4⋊Dic59C2311yescharacteristic
218C2×C4⋊Dic59C2311yescharacteristic
219C2×C4⋊Dic59C2311yescharacteristic
220C2×C4⋊Dic59C2311yescharacteristic
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
233C4⋊C4×D59—42no—
234C4⋊C4×D59—42no—
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×(C2×D59)⋊C4—24no—
245C2×(C2×D59)⋊C4—24no—
246C2×(C2×D59)⋊C4C2311yescharacteristic
247C2×(C2×D59)⋊C4C2311yescharacteristic
248C2×(C2×D59)⋊C4C2311yescharacteristic
249C2×(C2×D59)⋊C4C2311yescharacteristic
250C2×(C2×D59)⋊C4C2311yescharacteristic
251C2×(C2×D59)⋊C4C2311yescharacteristic
252C2×(C2×D59)⋊C4C2311yescharacteristic
253C2×(C2×D59)⋊C4C2311yescharacteristic
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
266C2×(C2×D59)⋊C4C2311yescharacteristic
267C2×(C2×D59)⋊C4C2311yescharacteristic
268C2×(C2×D59)⋊C4C2311yescharacteristic
269C2×(C2×D59)⋊C4C2311yescharacteristic
270C2×(C2×D59)⋊C4C2311yescharacteristic
271C2×(C2×D59)⋊C4C2311yescharacteristic
272C22⋊C4×D59—24no—
273C22⋊C4×D59—24no—
274C22⋊C4×D59—24no—
275C22⋊C4×D59—42no—
276C22⋊C4×D59—42no—
277C2×C4×Dic59—42no—
278C2×C4×Dic59C2311yescharacteristic
279C2×C4×Dic59C2311yescharacteristic
280C2×C4×Dic59C2311yescharacteristic
281C2×C4×Dic59C2311yescharacteristic
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
326C22×D4×C59C2311yescharacteristic
327C23×C4×C59C2311yescharacteristic
328C23×C4×C59C2311yescharacteristic
329C23×C4×C59C2311yescharacteristic
330#126×C59—42no—
331C2×C4⋊C4×C59C2311yescharacteristic
332C2×C4⋊C4×C59C2311yescharacteristic
333C2×C4⋊C4×C59C2311yescharacteristic
334C2×C4⋊C4×C59C2311yescharacteristic
335C2×C4⋊C4×C59C2311yescharacteristic
336C2×C4⋊C4×C59C2311yescharacteristic
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×C42×C59—42no—
347C2×C42×C59C2311yescharacteristic
348C2×C42×C59C2311yescharacteristic
349C2×C42×C59C2311yescharacteristic
350C2×C42×C59C2311yescharacteristic
351#95×C59C2311yescharacteristic
352#95×C59C2311yescharacteristic
353#95×C59C2311yescharacteristic
354#95×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×C59C2411yescharacteristic
364C24×C59C2411yescharacteristic
365C23×D59—22no—
366C23×D59—22no—
367C23×D59—22no—
368C23×D59—41no—
369C23×D59—41no—
370C23×D59—41no—
371C23×D59—41no—
372C23×D59—41no—
373C23×D59—41no—
374C23×D59—41no—
375C23×D59—41no—
376C23×D59#4114yes—
377C23×D59#4114yes—
378C23×D59#4114yes—
379C23×D59C2411yescharacteristic
380C23×D59C2411yescharacteristic
381C23×D59C2411yescharacteristic
382C2×D4×C59—22no—
383C2×D4×C59—22no—
384C2×D4×C59—22no—
385C22×C4×C59—22no—
386C22×C4×C59—22no—
387C22×C4×C59—22no—
388C22×C4×C59—22no—
389C22×C4×C59—22no—
390C22×C4×C59—41no—
391C22×C4×C59—41no—
392C22×C4×C59—41no—
393C22×C4×C59—41no—
394C22×C4×C59C2411yescharacteristic
395C22×C4×C59C2411yescharacteristic
396C22×C4×C59C2411yescharacteristic
397C22×C4×C59C2411yescharacteristic
398C22×C4×C59C2411yescharacteristic
399C22×C4×C59C2411yescharacteristic
400C22×C4×C59C2411yescharacteristic
401C22×C4×C59C2411yescharacteristic
402C22×C4×C59C2411yescharacteristic
403C22×C4×C59C2411yescharacteristic
404C22×C4×C59C2411yescharacteristic
405C22×C4×C59C2411yescharacteristic
406C22×C4×C59C2411yescharacteristic
407C2×C22⋊D59—22no—
408C2×C22⋊D59—22no—
409C2×C22⋊D59—22no—
410C2×C22⋊D59—22no—
411C2×C22⋊D59—22no—
412C2×C22⋊D59—22no—
413C22×Dic59—22no—
414C22×Dic59—22no—
415C22×Dic59—22no—
416C22×Dic59—41no—
417C22×Dic59—41no—
418C22×Dic59—41no—
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
435D4×D59—416no—
436C2×D236—22no—
437C2×D236—22no—
438C2×D236—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—22no—
453C2×C4×D59—22no—
454C2×C4×D59—22no—
455C2×C4×D59—22no—
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—416no—
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—22no—
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—41no—
485C22⋊C4×C59—41no—
486C22⋊C4×C59—41no—
487C22⋊C4×C59—41no—
488C42×C59—22no—
489C42×C59—22no—
490C42×C59—41no—
491C42×C59—41no—
492C22⋊Dic59—22no—
493C22⋊Dic59—22no—
494C22⋊Dic59—22no—
495C22⋊Dic59—41no—
496C22⋊Dic59—41no—
497C22⋊Dic59—41no—
498C22⋊Dic59—41no—
499C22⋊Dic59—41no—
500C22⋊Dic59—41no—
501(C2×D59)⋊C4—22no—
502(C2×D59)⋊C4—22no—
503(C2×D59)⋊C4—22no—
504(C2×D59)⋊C4—22no—
505(C2×D59)⋊C4—22no—
506(C2×D59)⋊C4—22no—
507(C2×D59)⋊C4—22no—
508(C2×D59)⋊C4—22no—
509(C2×D59)⋊C4—22no—
510(C2×D59)⋊C4—22no—
511(C2×D59)⋊C4—22no—
512(C2×D59)⋊C4—22no—
513(C2×D59)⋊C4—22no—
514(C2×D59)⋊C4—22no—
515(C2×D59)⋊C4—22no—
516(C2×D59)⋊C4—22no—
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—
522(C2×D59)⋊C4—41no—
523(C2×D59)⋊C4—41no—
524(C2×D59)⋊C4—41no—
525(C2×D59)⋊C4—41no—
526(C2×D59)⋊C4—41no—
527C4⋊Dic59—41no—
528C4⋊Dic59—41no—
529C4⋊Dic59—41no—
530C4⋊Dic59—41no—
531C4⋊Dic59—41no—
532C4⋊Dic59—41no—
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—
545C4×Dic59—22no—
546C4×Dic59—22no—
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×C59C2×#4112yes—
561C23×C59C2×#4112yes—
562C23×C59C2×#4112yes—
563C23×C59C2511yescharacteristic
564C22×D59—21no—
565C22×D59—21no—
566C22×D59—21no—
567C22×D59—21no—
568C22×D59—21no—
569C22×D59—21no—
570C22×D59—21no—
571C22×D59—21no—
572C22×D59—21no—
573C22×D59—21no—
574C22×D59—21no—
575C22×D59—21no—
576C22×D59—21no—
577C22×D59—21no—
578C22×D59—21no—
579C22×D59—44no—
580C22×D59—44no—
581C22×D59—44no—
582C22×D59—44no—
583C22×D59—44no—
584C22×D59—44no—
585C22×D59—44no—
586C22×D59—44no—
587C22×D59—44no—
588C22×D59—82no—
589C22×D59—82no—
590C22×D59—82no—
591C22×D59—82no—
592C22×D59#126116yescomplemented
593C22×D59C2×#4112yes—
594C22×D59C2×#4112yes—
595C22×D59C2×#4112yes—
596C22×D59C2×#4112yes—
597C22×D59C2×#4112yes—
598C22×D59C2×#4112yes—
599D4×C59—44no—
600C2×C4×C59—28no—
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—21no—
635C2×C4×C59—21no—
636C2×C4×C59—21no—
637C2×C4×C59—21no—
638C2×C4×C59—44no—
639C2×C4×C59—44no—
640C2×C4×C59H(5,𝔽2)12yes—
641C2×C4×C59H(5,𝔽2)12yes—
642C22⋊D59—44no—
643C22⋊D59—44no—
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—21no—
683C2×Dic59—44no—
684C2×Dic59—44no—
685C2×Dic59—44no—
686D236—44no—
687C4×D59—44no—
688C4×D59—44no—
689C4×D59—44no—
690C4×D59—44no—
691C4×D59—44no—
692C4×D59—44no—
693C4×D59—44no—
694C4×D59—82no—
695C4×D59—82no—
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×C59C2×#12614yes—
713C22×C59C22×#4111yescharacteristic
714C22×C59C22×#4111yescharacteristic
715C22×C59C22×#4111yescharacteristic
716C22×C59C2×H(5,𝔽2)11yescharacteristic
717C22×C59C2×H(5,𝔽2)11yescharacteristic
718C22×C59#58511yescharacteristic
719C22×C59#58511yescharacteristic
720C2×D59—22no—
721C2×D59—22no—
722C2×D59—22no—
723C2×D59—22no—
724C2×D59—22no—
725C2×D59—22no—
726C2×D59—22no—
727C2×D59—22no—
728C2×D59—22no—
729C2×D59—22no—
730C2×D59—22no—
731C2×D59—22no—
732C2×D59—416no—
733C2×D59—41no—
734C2×D59—41no—
735C2×D59—41no—
736C2×D59—41no—
737C2×D59—41no—
738C2×D59—41no—
739C2×D59—41no—
740C2×D59—88no—
741C2×D59C2×#12614yes—
742C2×D59C2×#12614yes—
743C4×C59—22no—
744C4×C59—22no—
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—
755C4×C59—41no—
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#2852D5911yescharacteristic, complemented
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#2480—591no—
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×C59C22×#12611yescharacteristic
803C2×C59#345911yescharacteristic
804C2×C59#345911yescharacteristic
805C2×C59#349011yescharacteristic
806C2×C59#349111yescharacteristic
807C2×C59#350511yescharacteristic
808C2×C59#350511yescharacteristic
809D59—24no—
810D59—24no—
811D59—81no—
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⋊C4—591no—
827C22×C42—591no—
828C22×C42C2×D5911yescharacteristic, complemented
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#397—591no—
855#397—591no—
856#397—591no—
857#396—591no—
858#396—591no—
859#396—591no—
860#396—591no—
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#387C2×D5911yescharacteristic, complemented
883#387C2×D5911yescharacteristic, complemented
884#387C2×D5911yescharacteristic, complemented
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#386C2×D5911yescharacteristic
907#386C2×D5911yescharacteristic
908#386C2×D5911yescharacteristic
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#385C2×D5911yescharacteristic, complemented
931#385C2×D5911yescharacteristic, complemented
932#385C2×D5911yescharacteristic, complemented
933#383—591no—
934#383—591no—
935#383—591no—
936#383C2×D5911yescharacteristic, complemented
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#380—591no—
949#379—591no—
950#379—591no—
951#379—591no—
952#379—591no—
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⋊C4—591no—
961C2×#95—591no—
962C2×#95—591no—
963C2×#95—591no—
964C2×#95—591no—
965C2×#95—591no—
966C2×#95—591no—
967C59#3499511yescharacteristic, complemented, Sylow
968C25—591no—
969C25—591no—
970C22×D4—591no—
971C22×D4—591no—
972C22×D4—591no—
973C22×D4—1184no—
974C22×D4—1184no—
975C22×D4—1184no—
976C22×D4C22×D5911yescharacteristic
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—1184no—
992C23×C4—2362no—
993C23×C4—2362no—
994C23×C4C22×D5911yescharacteristic
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—591no—
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—591no—
1057C2×C22⋊C4—591no—
1058C2×C22⋊C4—591no—
1059C2×C22⋊C4—591no—
1060C2×C22⋊C4—591no—
1061C2×C22⋊C4—591no—
1062C2×C22⋊C4—1184no—
1063C2×C22⋊C4—1184no—
1064C2×C22⋊C4—1184no—
1065C2×C22⋊C4—1184no—
1066C2×C22⋊C4—1184no—
1067C2×C22⋊C4—2362no—
1068C2×C22⋊C4—2362no—
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—42no—
1079C2×C42—591no—
1080C2×C42—591no—
1081C2×C42—591no—
1082C2×C42—591no—
1083C2×C42—2362no—
1084C2×C42C22×D5911yescharacteristic
1085C2×C42C22×D5911yescharacteristic
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#95C22×D5911yescharacteristic
1133#95C22×D5911yescharacteristic
1134#95C22×D5911yescharacteristic
1135#95C22×D5911yescharacteristic
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—591no—
1145C24—591no—
1146C24—594no—
1147C24—594no—
1148C24—594no—
1149C24—591no—
1150C24—1182no—
1151C24—1182no—
1152C24—1182no—
1153C24—2361no—
1154C24—2361no—
1155C24—2361no—
1156C24—2361no—
1157C24—2361no—
1158C24—2361no—
1159C24—2361no—
1160C24—2361no—
1161C24C23×D5911yescharacteristic
1162C24C23×D5911yescharacteristic
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—22no—
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—22no—
1180C22×C4—22no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
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—591no—
1197C22×C4—591no—
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—23616no—
1235C22×C4—2361no—
1236C22×C4—2361no—
1237C22×C4—2361no—
1238C22×C4—2361no—
1239C22×C4—2361no—
1240C22×C4—2361no—
1241C22×C4C23×D5911yescharacteristic
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—22no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—1182no—
1261C4⋊C4—1182no—
1262C4⋊C4—2361no—
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—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—1182no—
1288C22⋊C4—1182no—
1289C22⋊C4—1182no—
1290C22⋊C4—1182no—
1291C22⋊C4—1182no—
1292C22⋊C4—1182no—
1293C22⋊C4—1182no—
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—2361no—
1307C22⋊C4—2361no—
1308C22⋊C4—2361no—
1309C22⋊C4—2361no—
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—
1322C42—22no—
1323C42—22no—
1324C42—41no—
1325C42—41no—
1326C42—1182no—
1327C42—1182no—
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—592no—
1342C23—592no—
1343C23—592no—
1344C23—592no—
1345C23—592no—
1346C23—592no—
1347C23—5916no—
1348C23—1181no—
1349C23—1181no—
1350C23—1181no—
1351C23—1181no—
1352C23—1181no—
1353C23—1181no—
1354C23—1181no—
1355C23—1181no—
1356C23—1181no—
1357C23—1181no—
1358C23—1181no—
1359C23—1181no—
1360C23—1181no—
1361C23—1181no—
1362C23—1181no—
1363C23—4722no—
1364C23—4722no—
1365C23—4722no—
1366C23—4722no—
1367C23—2364no—
1368C23—2364no—
1369C23—2364no—
1370C23—2364no—
1371C23—2364no—
1372C23—2364no—
1373C23—2364no—
1374C23—2364no—
1375C23—2364no—
1376C23#41×D5912yes—
1377C23#41×D5912yes—
1378C23#41×D5912yes—
1379C23C24×D5911yescharacteristic
1380D4—44no—
1381D4—2364no—
1382D4—2364no—
1383D4—2364no—
1384C2×C4—28no—
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—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—44no—
1423C2×C4—44no—
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—4722no—
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#1427377212yes—
1478C2×C4#1427377312yes—
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—594no—
1493C22—594no—
1494C22—1182no—
1495C22—1182no—
1496C22—1182no—
1497C22—1182no—
1498C22—1182no—
1499C22—1182no—
1500C22—1182no—
1501C22—1182no—
1502C22—1182no—
1503C22—1182no—
1504C22—1182no—
1505C22—1182no—
1506C22—4728no—
1507C22—23616no—
1508C22—2361no—
1509C22—2361no—
1510C22—2361no—
1511C22—2361no—
1512C22—2361no—
1513C22—2361no—
1514C22—2361no—
1515C22#126×D5914yes—
1516C22C2×#41×D5911yescharacteristic
1517C22C2×#41×D5911yescharacteristic
1518C22C2×#41×D5911yescharacteristic
1519C22C2×#1427377211yescharacteristic
1520C22C2×#1427377311yescharacteristic
1521C22#1683823811yescharacteristic
1522C22#1683823811yescharacteristic
1523C4—22no—
1524C4—22no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—41no—
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—1184no—
1552C2—1184no—
1553C2—4721no—
1554C2C2×#126×D5911yescharacteristic
1555C2#2143750311yescharacteristic
1556C2#2143750611yescharacteristic
1557C2#2143777911yescharacteristic
1558C2#2143778811yescharacteristic
1559C2#2143792411yescharacteristic
1560C2#2143793111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2852C2
prime radicalC22×D4×D59C22
hypercenter#2852D59
hypocenterC59#34995
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2852

Complements

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

NH ≅ G/Ntype
1. #21432413C2semidirect
2. #21432411C2semidirect
3. #21432409C2semidirect
4. #21430052C2semidirect
5. #21430052C2semidirect
6. #21430051C2semidirect
7. #21430051C2semidirect
8. #21428663C2semidirect
9. #21428661C2semidirect
10. #21428655C2semidirect
11. #21428653C2semidirect
12. #21428488C2semidirect
13. #21428486C2semidirect
14. #21428480C2semidirect
15. #21428478C2semidirect
16. #21428363C2semidirect
17. #21428361C2semidirect
18. #21428355C2semidirect
19. #21428353C2semidirect
20. #21428348C2semidirect
21. #21428346C2semidirect
22. #21428340C2semidirect
23. #21428338C2semidirect
24. #21426707C2semidirect
25. #21426707C2semidirect
29. #385×D59C2semidirect
30. C2×C4×(C2×D59)⋊C4C2semidirect
31. C59×#2852C2semidirect
34. C2×#14273722C22semidirect
35. C2×#14273721C22semidirect
36. C2×#14273720C22semidirect
37. C2×C4⋊C4×D59C22semidirect
38. C2×C4⋊C4×D59C22semidirect
46. C22×C4×Dic59C22semidirect
47. C59⋊#401C22semidirect
48. C59⋊#401C22semidirect
49. C59⋊#401C22semidirect
50. C59⋊#401C22semidirect
51. #16837344C22semidirect
52. #16837344C22semidirect
53. #16837344C22semidirect
54. #16837344C22semidirect
55. #16837343C22semidirect
56. #16837343C22semidirect
57. #16837342C22semidirect
58. #16837342C22semidirect
59. #16837341C22semidirect
60. #16837341C22semidirect
61. #16837340C22semidirect
62. #16837340C22semidirect
63. #16837331C22semidirect
64. #16837331C22semidirect
65. #16837330C22semidirect
66. #16837330C22semidirect
67. #16837330C22semidirect
68. #16837330C22semidirect
69. #16837329C22semidirect
70. #16837329C22semidirect
71. #16837328C22semidirect
72. #16837328C22semidirect
73. #16837327C22semidirect
74. #16837327C22semidirect
75. #16837325C22semidirect
76. #16837325C22semidirect
77. #16837324C22semidirect
78. #16837324C22semidirect
79. #16837296C22semidirect
80. #16837295C22semidirect
81. #16837294C22semidirect
82. #16837293C22semidirect
83. #16837293C22semidirect
84. #16837293C22semidirect
85. #16837292C22semidirect
86. #16837291C22semidirect
87. #16837290C22semidirect
88. #16837289C22semidirect
89. #16837288C22semidirect
90. #16837287C22semidirect
91. #16837286C22semidirect
92. #16837286C22semidirect
93. #16837286C22semidirect
94. #16837285C22semidirect
95. #16837284C22semidirect
96. #16837283C22semidirect
118. #16837277C22semidirect
119. #16837277C22semidirect
120. #16837277C22semidirect
125. #16837276C22semidirect
126. #16837276C22semidirect
127. #16837275C22semidirect
128. #16837275C22semidirect
129. #16837275C22semidirect
130. #16837274C22semidirect
131. #16837274C22semidirect
132. #16837274C22semidirect
137. #16837273C22semidirect
138. #16837273C22semidirect
139. #16837270C22semidirect
140. #16837269C22semidirect
141. #16837269C22semidirect
148. #16837261C22semidirect
149. #16837261C22semidirect
152. #16837259C22semidirect
153. #16837259C22semidirect
162. C4×(C2×D59)⋊C4C22semidirect
163. C4×(C2×D59)⋊C4C22semidirect
164. C4×(C2×D59)⋊C4C22semidirect
165. C4×(C2×D59)⋊C4C22semidirect
166. C2×C59⋊#95C22semidirect
167. C2×C59⋊#95C22semidirect
170. #95×D59C22semidirect
171. #95×D59C22semidirect
172. C2×#126×C59C22semidirect
173. C22×C42×C59C22semidirect
174. C59×#388C22semidirect
175. C59×#388C22semidirect
176. C59×#388C22semidirect
177. C59×#387C22semidirect
178. C59×#387C22semidirect
179. C59×#387C22semidirect
183. C59×#385C22semidirect
184. C59×#385C22semidirect
185. C59×#385C22semidirect
186. C59×#383C22semidirect
592. C22×D59#126semidirect
772. #2852D59semidirect
817. C2×#126C2×D59semidirect
828. C22×C42C2×D59semidirect
870. #388C2×D59semidirect
871. #388C2×D59semidirect
872. #388C2×D59semidirect
882. #387C2×D59semidirect
883. #387C2×D59semidirect
884. #387C2×D59semidirect
930. #385C2×D59semidirect
931. #385C2×D59semidirect
932. #385C2×D59semidirect
936. #383C2×D59semidirect
967. C59#34995semidirect

Maximal subgroups

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

subgroupindex
#214324132
#214324112
#214324092
#214300522
#214300512
#214286632
#214286612
#214286552
#214286532
#214284882
#214284862
#214284802
#214284782
#214283632
#214283612
#214283552
#214283532
#214283482
#214283462
#214283402
#214283382
#214267072
#214266702
#386×D592
#385×D592
C2×C4×(C2×D59)⋊C42
C59×#28522
#3499559