Finite Group Databasebeta

← #28796102

Subgroups — #28796102

Order 15104.

2262 conjugacy classes of subgroups.

The subgroup lattice has 1624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16838028C211yesmaximal, characteristic, complemented
2C2×#16837987C211yesmaximal, characteristic
3#21432446C211yesmaximal, characteristic, complemented
4#21432393C211yesmaximal, characteristic, complemented
5#21430698C211yesmaximal, characteristic, complemented
6#21430696C211yesmaximal, characteristic, complemented
7#21430674C211yesmaximal, characteristic, complemented
8#21430672C211yesmaximal, characteristic, complemented
9#21430553C211yesmaximal, characteristic, complemented
10#21430547C211yesmaximal, characteristic, complemented
11#21430523C211yesmaximal, characteristic, complemented
12#21430517C211yesmaximal, characteristic, complemented
13#21430452C211yesmaximal, characteristic, complemented
14#21430450C211yesmaximal, characteristic, complemented
15#21430439C211yesmaximal, characteristic, complemented
16#21430438C211yesmaximal, characteristic, complemented
17#21430383C211yesmaximal, characteristic, complemented
18#21430377C211yesmaximal, characteristic, complemented
19#21430353C211yesmaximal, characteristic, complemented
20#21430347C211yesmaximal, characteristic, complemented
21#21430213C211yesmaximal, characteristic, complemented
22#21430026C211yesmaximal, characteristic, complemented
23#21429280C211yesmaximal, characteristic, complemented
24#21429274C211yesmaximal, characteristic, complemented
25#21427546C211yesmaximal, characteristic, complemented
26#21427544C211yesmaximal, characteristic, complemented
27#21427493C211yesmaximal, characteristic, complemented
28#21427492C211yesmaximal, characteristic, complemented
29#21427486C211yesmaximal, characteristic, complemented
30C2×#16837290C211yesmaximal, characteristic, complemented
31C59×#2412C211yesmaximal, characteristic, complemented
32#16838028—28no—
33#16837987—28no—
34C2×#14273726C2211yescharacteristic, complemented
35C2×#14273720C2211yescharacteristic
36C2×#14273720C2211yescharacteristic
37C2×#14273714C2211yescharacteristic
38C2×#14273713C2211yescharacteristic
39C2×#14273713C2211yescharacteristic, complemented
40C2×#14273711C2211yescharacteristic
41C2×#14273710C2211yescharacteristic
42C2×#14273709C2211yescharacteristic
43C2×#14273708C2211yescharacteristic
44C2×#14273708C2211yescharacteristic
45C2×#14273706C2211yescharacteristic
46C2×#14273706C2211yescharacteristic
47C2×#14273706C2211yescharacteristic
48C2×#14273706C2211yescharacteristic
49C2×#14273705C2211yescharacteristic, complemented
50C2×#14273704C2211yescharacteristic
51C2×#14273704C2211yescharacteristic
52C2×#14273704C2211yescharacteristic
53C2×#14273704C2211yescharacteristic
54C2×#14273704C2211yescharacteristic
55C2×#14273704C2211yescharacteristic
56C2×#14273704C2211yescharacteristic
57C2×#14273704C2211yescharacteristic
58C2×#14273704C2211yescharacteristic
59C2×#14273704C2211yescharacteristic, complemented
60C2×#14273699C2211yescharacteristic
61C2×#14273699C2211yescharacteristic
62C2×#14273698C2211yescharacteristic
63C2×#14273696C2211yescharacteristic
64C2×D4×Dic59C2211yescharacteristic
65C2×(C22⋊D59)⋊C4C2211yescharacteristic
66C22×Dic59⋊C4C2211yescharacteristic
67C22×C22⋊Dic59C2211yescharacteristic
68C22×C22⋊Dic59C2211yescharacteristic
69C22×C22⋊Dic59C2211yescharacteristic
70C22×C4×Dic59C2211yescharacteristic
71#16837344C2211yescharacteristic, complemented
72#16837344C2211yescharacteristic, complemented
73#16837343C2211yescharacteristic, complemented
74#16837343C2211yescharacteristic, complemented
75#16837338C2211yescharacteristic, complemented
76#16837337C2211yescharacteristic, complemented
77#16837336C2211yescharacteristic, complemented
78#16837336C2211yescharacteristic, complemented
79#16837336C2211yescharacteristic, complemented
80#16837336C2211yescharacteristic, complemented
81#16837335C2211yescharacteristic, complemented
82#16837335C2211yescharacteristic, complemented
83#16837334C2211yescharacteristic, complemented
84#16837333C2211yescharacteristic, complemented
85#16837331C2211yescharacteristic, complemented
86#16837330C2211yescharacteristic
87#16837330C2211yescharacteristic
88#16837330C2211yescharacteristic
89#16837330C2211yescharacteristic
90#16837330C2211yescharacteristic, complemented
91#16837327C2211yescharacteristic
92#16837327C2211yescharacteristic
93#16837326C2211yescharacteristic, complemented
94#16837325C2211yescharacteristic, complemented
95#16837325C2211yescharacteristic, complemented
96#16837324C2211yescharacteristic, complemented
97#16837323C2211yescharacteristic, complemented
98#16837323C2211yescharacteristic, complemented
99#16837323C2211yescharacteristic, complemented
100#16837322C2211yescharacteristic, complemented
101#16837322C2211yescharacteristic, complemented
102#16837322C2211yescharacteristic, complemented
103#16837318C2211yescharacteristic
104#16837318C2211yescharacteristic
105#16837318C2211yescharacteristic, complemented
106#16837317C2211yescharacteristic
107#16837317C2211yescharacteristic
108#16837317C2211yescharacteristic, complemented
109#16837316C2211yescharacteristic
110#16837316C2211yescharacteristic
111#16837315C2211yescharacteristic, complemented
112#16837315C2211yescharacteristic, complemented
113#16837314C2211yescharacteristic, complemented
114#16837314C2211yescharacteristic, complemented
115#16837306C2211yescharacteristic, complemented
116#16837306C2211yescharacteristic, complemented
117#16837306C2211yescharacteristic, complemented
118#16837306C2211yescharacteristic, complemented
119#16837306C2211yescharacteristic, complemented
120#16837302C2211yescharacteristic, complemented
121#16837301C2211yescharacteristic, complemented
122#16837299C2211yescharacteristic, complemented
123#16837299C2211yescharacteristic, complemented
124#16837299C2211yescharacteristic, complemented
125#16837298C2211yescharacteristic, complemented
126#16837297C2211yescharacteristic, complemented
127#16837295C2211yescharacteristic, complemented
128#16837294C2211yescharacteristic, complemented
129#16837291C2211yescharacteristic, complemented
130#16837290C2211yescharacteristic
131#16837290C2211yescharacteristic
132#16837290C2211yescharacteristic
133#16837290C2211yescharacteristic
134#16837290C2211yescharacteristic
135#16837290C2211yescharacteristic
136#16837290C2211yescharacteristic
137#16837290C2211yescharacteristic
138#16837290C2211yescharacteristic, complemented
139#16837289C2211yescharacteristic, complemented
140#16837288C2211yescharacteristic, complemented
141#16837285C2211yescharacteristic, complemented
142#16837284C2211yescharacteristic, complemented
143#16837282C2211yescharacteristic
144#16837282C2211yescharacteristic
145#16837282C2211yescharacteristic
146#16837281C2211yescharacteristic
147#16837281C2211yescharacteristic
148#16837281C2211yescharacteristic
149#16837279C2211yescharacteristic
150#16837279C2211yescharacteristic
151#16837279C2211yescharacteristic
152#16837277C2211yescharacteristic
153#16837277C2211yescharacteristic, complemented
154#16837276C2211yescharacteristic, complemented
155#16837275C2211yescharacteristic
156#16837274C2211yescharacteristic
157#16837274C2211yescharacteristic, complemented
158#16837273C2211yescharacteristic, complemented
159#16837271C2211yescharacteristic, complemented
160#16837266C2211yescharacteristic, complemented
161#16837265C2211yescharacteristic
162#16837263C2211yescharacteristic
163#16837263C2211yescharacteristic
164#16837262C2211yescharacteristic
165#16837262C2211yescharacteristic
166#16837261C2211yescharacteristic, complemented
167#16837260C2211yescharacteristic
168#16837260C2211yescharacteristic
169#16837260C2211yescharacteristic
170#16837260C2211yescharacteristic
171#16837260C2211yescharacteristic, complemented
172C2×C59⋊#95C2211yescharacteristic
173C2×C59⋊#95C2211yescharacteristic
174C2×#123×C59C2211yescharacteristic
175C2×#120×C59C2211yescharacteristic
176C22×C22⋊C4×C59C2211yescharacteristic
177C22×C22⋊C4×C59C2211yescharacteristic
178C59×#397C2211yescharacteristic
179C59×#397C2211yescharacteristic
180C59×#394C2211yescharacteristic
181C59×#394C2211yescharacteristic
182C59×#386C2211yescharacteristic
183C59×#386C2211yescharacteristic
184C59×#386C2211yescharacteristic
185C59×#385C2211yescharacteristic
186C59×#381C2211yescharacteristic
187C59×#380C2211yescharacteristic
188C59×#380C2211yescharacteristic
189C22×Dic118C2311yescharacteristic
190C22×Dic118C2311yescharacteristic
191C22×Dic118C2311yescharacteristic
192C22×Dic118C2311yescharacteristic
193C22×Dic118C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C23×Dic59C2311yescharacteristic
199C23×Dic59C2311yescharacteristic
200C23×Dic59C2311yescharacteristic
201C23×Dic59C2311yescharacteristic
202C23×Dic59C2311yescharacteristic
203C23×Dic59C2311yescharacteristic
204C23×Dic59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206#14273726—42no—
207#14273720—24no—
208#14273720—24no—
209#14273714—24no—
210#14273713—24no—
211#14273713—42no—
212#14273711—42no—
213#14273710—42no—
214#14273709—24no—
215#14273708—24no—
216#14273708—42no—
217#14273706—24no—
218#14273706—24no—
219#14273706—24no—
220#14273706—24no—
221#14273705—42no—
222#14273704—24no—
223#14273704—24no—
224#14273704—24no—
225#14273704—24no—
226#14273704—24no—
227#14273704—24no—
228#14273704—24no—
229#14273704—24no—
230#14273704—24no—
231#14273704—42no—
232#14273699—24no—
233#14273699—24no—
234#14273698—24no—
235#14273696—24no—
236D4×Dic59—24no—
237(C22⋊D59)⋊C4—24no—
238C2×C4⋊Dic59C2311yescharacteristic
239C2×C4⋊Dic59C2311yescharacteristic
240C2×C4⋊Dic59C2311yescharacteristic
241C2×C4⋊Dic59C2311yescharacteristic
242C2×C4⋊Dic59C2311yescharacteristic
243C2×C4⋊Dic59C2311yescharacteristic
244C2×C4⋊Dic59C2311yescharacteristic
245C2×C4⋊Dic59C2311yescharacteristic
246C2×C4⋊Dic59C2311yescharacteristic
247C2×C4⋊Dic59C2311yescharacteristic
248C2×Dic59⋊C4—42no—
249C2×Dic59⋊C4C2311yescharacteristic
250C2×Dic59⋊C4C2311yescharacteristic
251C2×Dic59⋊C4C2311yescharacteristic
252C2×Dic59⋊C4C2311yescharacteristic
253C2×Dic59⋊C4C2311yescharacteristic
254C2×Dic59⋊C4C2311yescharacteristic
255C2×Dic59⋊C4C2311yescharacteristic
256C2×Dic59⋊C4C2311yescharacteristic
257C2×Dic59⋊C4C2311yescharacteristic
258C2×Dic59⋊C4C2311yescharacteristic
259C2×Dic59⋊C4C2311yescharacteristic
260C2×Dic59⋊C4C2311yescharacteristic
261C2×Dic59⋊C4C2311yescharacteristic
262C2×Dic59⋊C4C2311yescharacteristic
263C2×Dic59⋊C4C2311yescharacteristic
264C2×Dic59⋊C4C2311yescharacteristic
265C2×Dic59⋊C4C2311yescharacteristic
266C2×Dic59⋊C4C2311yescharacteristic
267C2×Dic59⋊C4C2311yescharacteristic
268C2×Dic59⋊C4C2311yescharacteristic
269C2×Dic59⋊C4C2311yescharacteristic
270C2×Dic59⋊C4C2311yescharacteristic
271C2×Dic59⋊C4C2311yescharacteristic
272C2×Dic59⋊C4C2311yescharacteristic
273C2×C22⋊Dic59—24no—
274C2×C22⋊Dic59—42no—
275C2×C22⋊Dic59D418yes—
276C2×C22⋊Dic59C2311yescharacteristic
277C2×C22⋊Dic59C2311yescharacteristic
278C2×C22⋊Dic59C2311yescharacteristic
279C2×C22⋊Dic59C2311yescharacteristic
280C2×C22⋊Dic59C2311yescharacteristic
281C2×C22⋊Dic59C2311yescharacteristic
282C2×C22⋊Dic59C2311yescharacteristic
283C2×C22⋊Dic59C2311yescharacteristic
284C2×C22⋊Dic59C2311yescharacteristic
285C2×C22⋊Dic59C2311yescharacteristic
286C2×C22⋊Dic59C2311yescharacteristic
287C2×C22⋊Dic59C2311yescharacteristic
288C2×C22⋊Dic59C2311yescharacteristic
289C2×C22⋊Dic59C2311yescharacteristic
290C2×C22⋊Dic59C2311yescharacteristic
291C2×C22⋊Dic59C2311yescharacteristic
292C2×C22⋊Dic59C2311yescharacteristic
293C2×C22⋊Dic59C2311yescharacteristic
294C2×C22⋊Dic59C2311yescharacteristic
295C2×C22⋊Dic59C2311yescharacteristic
296C2×C22⋊Dic59C2311yescharacteristic
297C2×(C2×D59)⋊C4C2311yescharacteristic
298C2×(C2×D59)⋊C4C2311yescharacteristic
299C2×(C2×D59)⋊C4C2311yescharacteristic
300C2×(C2×D59)⋊C4C2311yescharacteristic
301C2×(C2×D59)⋊C4C2311yescharacteristic
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C2×(C2×D59)⋊C4C2311yescharacteristic
304C2×(C2×D59)⋊C4C2311yescharacteristic
305C2×(C2×D59)⋊C4C2311yescharacteristic
306C2×(C2×D59)⋊C4C2311yescharacteristic
307C2×C4×Dic59—42no—
308C2×C4×Dic59C2311yescharacteristic
309C2×C4×Dic59C2311yescharacteristic
310C2×C4×Dic59C2311yescharacteristic
311C2×C4×Dic59C2311yescharacteristic
312C2×C4×Dic59C2311yescharacteristic
313C2×C4×Dic59C2311yescharacteristic
314C59⋊#95C2311yescharacteristic
315C59⋊#95C2311yescharacteristic
316C59⋊#95C2311yescharacteristic
317C59⋊#95C2311yescharacteristic
318C59⋊#95C2311yescharacteristic
319C59⋊#95C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C59⋊#95C2311yescharacteristic
339C59⋊#95C2311yescharacteristic
340C59⋊#95C2311yescharacteristic
341C59⋊#95C2311yescharacteristic
342C59⋊#95C2311yescharacteristic
343C59⋊#95C2311yescharacteristic
344C59⋊#95C2311yescharacteristic
345C59⋊#95C2311yescharacteristic
346C25×C59C2311yescharacteristic
347C22×D4×C59C2311yescharacteristic
348C22×D4×C59C2311yescharacteristic
349C22×D4×C59C2311yescharacteristic
350C23×C4×C59C2311yescharacteristic
351C23×C4×C59C2311yescharacteristic
352C23×C4×C59C2311yescharacteristic
353C23×C4×C59C2311yescharacteristic
354#123×C59—42no—
355#120×C59—24no—
356C2×C4⋊C4×C59C2311yescharacteristic
357C2×C4⋊C4×C59C2311yescharacteristic
358C2×C4⋊C4×C59C2311yescharacteristic
359C2×C4⋊C4×C59C2311yescharacteristic
360C2×C22⋊C4×C59—24no—
361C2×C22⋊C4×C59—42no—
362C2×C22⋊C4×C59C2311yescharacteristic
363C2×C22⋊C4×C59C2311yescharacteristic
364C2×C22⋊C4×C59C2311yescharacteristic
365C2×C22⋊C4×C59C2311yescharacteristic
366C2×C22⋊C4×C59C2311yescharacteristic
367C2×C22⋊C4×C59C2311yescharacteristic
368C2×C22⋊C4×C59C2311yescharacteristic
369C2×C22⋊C4×C59C2311yescharacteristic
370C2×C22⋊C4×C59C2311yescharacteristic
371C2×C22⋊C4×C59C2311yescharacteristic
372C2×C22⋊C4×C59C2311yescharacteristic
373C2×C22⋊C4×C59C2311yescharacteristic
374C2×C22⋊C4×C59C2311yescharacteristic
375C2×C22⋊C4×C59C2311yescharacteristic
376C2×C22⋊C4×C59C2311yescharacteristic
377#95×C59C2311yescharacteristic
378#95×C59C2311yescharacteristic
379#95×C59C2311yescharacteristic
380#95×C59C2311yescharacteristic
381#95×C59C2311yescharacteristic
382#95×C59C2311yescharacteristic
383#95×C59C2311yescharacteristic
384#95×C59C2311yescharacteristic
385C24×C59—22no—
386C24×C59—22no—
387C24×C59—41no—
388C24×C59—41no—
389C24×C59—41no—
390C24×C59—41no—
391C24×C59C2×D414yes—
392C24×C59C2411yescharacteristic
393C24×C59C2411yescharacteristic
394C24×C59C2411yescharacteristic
395C24×C59C2411yescharacteristic
396C23×D59C2411yescharacteristic
397C2×D4×C59—22no—
398C2×D4×C59—22no—
399C2×D4×C59—22no—
400C2×D4×C59—22no—
401C2×D4×C59—22no—
402C2×D4×C59—41no—
403C2×D4×C59—41no—
404C2×D4×C59—41no—
405C2×D4×C59—41no—
406C22×C4×C59—22no—
407C22×C4×C59—22no—
408C22×C4×C59—22no—
409C22×C4×C59—22no—
410C22×C4×C59—22no—
411C22×C4×C59—41no—
412C22×C4×C59—41no—
413C22×C4×C59—41no—
414C22×C4×C59—41no—
415C22×C4×C59—41no—
416C22×C4×C59—41no—
417C22×C4×C59—41no—
418C22×C4×C59C2411yescharacteristic
419C22×C4×C59C2411yescharacteristic
420C22×C4×C59C2411yescharacteristic
421C22×C4×C59C2411yescharacteristic
422C22×C4×C59C2411yescharacteristic
423C22×C4×C59C2411yescharacteristic
424C22×C4×C59C2411yescharacteristic
425C22×C4×C59C2411yescharacteristic
426C22×C4×C59C2411yescharacteristic
427C22×C4×C59C2411yescharacteristic
428C22×C4×C59C2411yescharacteristic
429C2×C22⋊D59—22no—
430C2×C22⋊D59—22no—
431C2×C22⋊D59—22no—
432C2×C22⋊D59—22no—
433C2×C22⋊D59—22no—
434C2×C22⋊D59—22no—
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—22no—
442C22×Dic59—22no—
443C22×Dic59—22no—
444C22×Dic59—22no—
445C22×Dic59—22no—
446C22×Dic59—22no—
447C22×Dic59—41no—
448C22×Dic59—41no—
449C22×Dic59—41no—
450C22×Dic59—41no—
451C22×Dic59—41no—
452C22×Dic59—41no—
453C22×Dic59—41no—
454C22×Dic59—41no—
455C22×Dic59—41no—
456C22×Dic59—41no—
457C22×Dic59—41no—
458C22×Dic59—41no—
459C22×Dic59—41no—
460C22×Dic59C2×D414yes—
461C22×Dic59C2×D414yes—
462C22×Dic59C2411yescharacteristic
463C22×Dic59C2411yescharacteristic
464C22×Dic59C2411yescharacteristic
465C22×Dic59C2411yescharacteristic
466C22×Dic59C2411yescharacteristic
467C22×Dic59C2411yescharacteristic
468C22×Dic59C2411yescharacteristic
469C22×Dic59C2411yescharacteristic
470C22×Dic59C2411yescharacteristic
471C22×Dic59C2411yescharacteristic
472C22×Dic59C2411yescharacteristic
473C22×Dic59C2411yescharacteristic
474C22×Dic59C2411yescharacteristic
475C22×Dic59C2411yescharacteristic
476C22×Dic59C2411yescharacteristic
477C2×C4×D59—22no—
478C2×C4×D59—41no—
479C2×C4×D59—41no—
480C2×Dic118—22no—
481C2×Dic118—22no—
482C2×Dic118—22no—
483C2×Dic118—22no—
484C2×Dic118—22no—
485C2×Dic118—41no—
486C2×Dic118—41no—
487C2×Dic118—41no—
488C2×Dic118—41no—
489C2×Dic118—41no—
490C2×Dic118—41no—
491C2×Dic118—41no—
492C2×Dic118—41no—
493C2×Dic118—41no—
494C2×Dic118—41no—
495C4⋊C4×C59—22no—
496C4⋊C4×C59—41no—
497C4⋊C4×C59—41no—
498C4⋊C4×C59—41no—
499C22⋊C4×C59—22no—
500C22⋊C4×C59—22no—
501C22⋊C4×C59—22no—
502C22⋊C4×C59—22no—
503C22⋊C4×C59—22no—
504C22⋊C4×C59—22no—
505C22⋊C4×C59—22no—
506C22⋊C4×C59—22no—
507C22⋊C4×C59—22no—
508C22⋊C4×C59—22no—
509C22⋊C4×C59—41no—
510C22⋊C4×C59—41no—
511C22⋊C4×C59—41no—
512C22⋊C4×C59—41no—
513C22⋊C4×C59—41no—
514C22⋊Dic59—22no—
515C22⋊Dic59—22no—
516C22⋊Dic59—22no—
517C22⋊Dic59—22no—
518C22⋊Dic59—22no—
519C22⋊Dic59—22no—
520C22⋊Dic59—22no—
521C22⋊Dic59—22no—
522C22⋊Dic59—22no—
523C22⋊Dic59—22no—
524C22⋊Dic59—22no—
525C22⋊Dic59—22no—
526C22⋊Dic59—41no—
527C22⋊Dic59—41no—
528C22⋊Dic59—41no—
529C22⋊Dic59—41no—
530C22⋊Dic59—41no—
531C22⋊Dic59C2×D414yes—
532C22⋊Dic59C2×D414yes—
533C22⋊Dic59C2×D414yes—
534C22⋊Dic59C2×D414yes—
535(C2×D59)⋊C4—22no—
536(C2×D59)⋊C4—22no—
537(C2×D59)⋊C4—22no—
538(C2×D59)⋊C4—22no—
539(C2×D59)⋊C4—41no—
540(C2×D59)⋊C4—41no—
541(C2×D59)⋊C4—41no—
542(C2×D59)⋊C4—41no—
543(C2×D59)⋊C4—41no—
544(C2×D59)⋊C4—41no—
545C4⋊Dic59—22no—
546C4⋊Dic59—22no—
547C4⋊Dic59—22no—
548C4⋊Dic59—22no—
549C4⋊Dic59—22no—
550C4⋊Dic59—22no—
551C4⋊Dic59—22no—
552C4⋊Dic59—41no—
553C4⋊Dic59—41no—
554C4⋊Dic59—41no—
555Dic59⋊C4—22no—
556Dic59⋊C4—22no—
557Dic59⋊C4—22no—
558Dic59⋊C4—22no—
559Dic59⋊C4—22no—
560Dic59⋊C4—22no—
561Dic59⋊C4—22no—
562Dic59⋊C4—22no—
563Dic59⋊C4—22no—
564Dic59⋊C4—22no—
565Dic59⋊C4—22no—
566Dic59⋊C4—22no—
567Dic59⋊C4—22no—
568Dic59⋊C4—22no—
569Dic59⋊C4—22no—
570Dic59⋊C4—22no—
571Dic59⋊C4—41no—
572Dic59⋊C4—41no—
573Dic59⋊C4—41no—
574Dic59⋊C4—41no—
575Dic59⋊C4—41no—
576Dic59⋊C4—41no—
577Dic59⋊C4—41no—
578Dic59⋊C4—41no—
579C4×Dic59—22no—
580C4×Dic59—22no—
581C4×Dic59—22no—
582C4×Dic59—22no—
583C4×Dic59—41no—
584C4×Dic59—41no—
585C23×C59—21no—
586C23×C59—21no—
587C23×C59—21no—
588C23×C59—21no—
589C23×C59—21no—
590C23×C59—21no—
591C23×C59—21no—
592C23×C59—21no—
593C23×C59—21no—
594C23×C59—21no—
595C23×C59—21no—
596C23×C59—21no—
597C23×C59—21no—
598C23×C59—21no—
599C23×C59—21no—
600C23×C59—21no—
601C23×C59—28no—
602C23×C59—21no—
603C23×C59—21no—
604C23×C59—21no—
605C23×C59—21no—
606C23×C59—21no—
607C23×C59—21no—
608C23×C59—21no—
609C23×C59—44no—
610C23×C59—44no—
611C23×C59—82no—
612C23×C59—82no—
613C23×C59—82no—
614C23×C59—82no—
615C23×C59C22×D412yes—
616C23×C59C22×D412yes—
617C23×C59C22×D412yes—
618C23×C592−1+412yes—
619C23×C592−1+412yes—
620C23×C59C2511yescharacteristic
621C22×D59—21no—
622C22×D59—21no—
623C22×D59—21no—
624C22×D59—21no—
625C22×D59—21no—
626C22×D59—21no—
627C22×D59—21no—
628D4×C59—44no—
629D4×C59—82no—
630D4×C59—82no—
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—21no—
644C2×C4×C59—21no—
645C2×C4×C59—21no—
646C2×C4×C59—21no—
647C2×C4×C59—21no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—21no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—44no—
664C2×C4×C59—82no—
665C2×C4×C59—82no—
666C2×C4×C59—82no—
667C2×C4×C59H(5,𝔽2)12yes—
668C22⋊D59—44no—
669C22⋊D59—82no—
670C22⋊D59—82no—
671C22⋊D59—82no—
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—21no—
702C2×Dic59—21no—
703C2×Dic59—21no—
704C2×Dic59—21no—
705C2×Dic59—21no—
706C2×Dic59—21no—
707C2×Dic59—21no—
708C2×Dic59—21no—
709C2×Dic59—21no—
710C2×Dic59—21no—
711C2×Dic59—21no—
712C2×Dic59—44no—
713C2×Dic59—44no—
714C2×Dic59—44no—
715C2×Dic59—82no—
716C2×Dic59—82no—
717C2×Dic59—82no—
718C2×Dic59—82no—
719C2×Dic59C22×D412yes—
720C2×Dic59C22×D412yes—
721C2×Dic59C22×D412yes—
722C2×Dic59C22×D412yes—
723C2×Dic59H(5,𝔽2)12yes—
724C4×D59—82no—
725Dic118—82no—
726Dic118—82no—
727Dic118—82no—
728Dic118—82no—
729Dic118—82no—
730#36740—591nomaximal, Sylow
731C22×C59—22no—
732C22×C59—22no—
733C22×C59—22no—
734C22×C59—22no—
735C22×C59—22no—
736C22×C59—22no—
737C22×C59—22no—
738C22×C59—22no—
739C22×C59—22no—
740C22×C59—22no—
741C22×C59—22no—
742C22×C59—22no—
743C22×C59—41no—
744C22×C59—41no—
745C22×C59—41no—
746C22×C59—41no—
747C22×C59—41no—
748C22×C59—41no—
749C22×C59—41no—
750C22×C59—41no—
751C22×C59—41no—
752C22×C59—41no—
753C22×C59—41no—
754C22×C59—41no—
755C22×C59—41no—
756C22×C59—41no—
757C22×C59—41no—
758C22×C59—88no—
759C22×C59#53614yes—
760C22×C59C23×D411yescharacteristic
761C22×C59C2×H(5,𝔽2)11yescharacteristic
762C22×C59C2×H(5,𝔽2)11yescharacteristic
763C22×C59C2×2−1+411yescharacteristic
764C22×C59C2×2−1+411yescharacteristic
765C22×C59#58511yescharacteristic
766C22×C59#58511yescharacteristic
767C2×D59—41no—
768C2×D59—41no—
769C2×D59—41no—
770C2×D59—41no—
771C2×D59—41no—
772C2×D59—41no—
773C2×D59—41no—
774C4×C59—22no—
775C4×C59—41no—
776C4×C59—41no—
777C4×C59—41no—
778C4×C59—41no—
779C4×C59—41no—
780C4×C59—41no—
781C4×C59—41no—
782C4×C59—41no—
783C4×C59—41no—
784C4×C59—41no—
785Dic59—22no—
786Dic59—22no—
787Dic59—22no—
788Dic59—22no—
789Dic59—22no—
790Dic59—41no—
791Dic59—41no—
792Dic59—41no—
793Dic59—41no—
794Dic59—41no—
795Dic59—41no—
796Dic59—41no—
797Dic59—41no—
798Dic59—41no—
799Dic59—41no—
800C2×#543—591no—
801C2×#538—591no—
802#2857—591no—
803#2850—591no—
804#2700—591no—
805#2700—591no—
806#2698—591no—
807#2698—591no—
808#2689—591no—
809#2689—591no—
810#2687—591no—
811#2687—591no—
812#2681—591no—
813#2681—591no—
814#2680—591no—
815#2680—591no—
816#2674—591no—
817#2674—591no—
818#2672—591no—
819#2672—591no—
820#2659—591no—
821#2639—591no—
822#2564—591no—
823#2564—591no—
824#2417—591no—
825#2417—591no—
826#2412—591no—
827#2412—591no—
828#2412—591no—
829#2412D5911yescharacteristic, complemented
830C2×#388—591no—
831C2×C59—24no—
832C2×C59—42no—
833C2×C59—42no—
834C2×C59—81no—
835C2×C59C2×#53611yescharacteristic
836C2×C59#349611yescharacteristic
837C2×C59#349611yescharacteristic
838C2×C59#353511yescharacteristic
839C2×C59#353611yescharacteristic
840C2×C59#356111yescharacteristic
841C2×C59#356411yescharacteristic
842D59—81no—
843#543—1188no—
844#538—1188no—
845C2×C4⋊Q8—591no—
846C2×#126—591no—
847C2×#126—591no—
848C2×#124—591no—
849C2×#124—591no—
850C2×#124—591no—
851C2×#123—591no—
852C2×#123—591no—
853C2×#123—591no—
854C2×#123—591no—
855C2×#123—591no—
856C2×#123C2×D5911yescharacteristic
857C2×C22⋊Q8—591no—
858C2×C22⋊Q8—591no—
859C2×C22⋊Q8—591no—
860C2×C22⋊Q8—591no—
861C2×C22⋊Q8—591no—
862C2×C22⋊Q8—591no—
863C2×C22⋊Q8—591no—
864C2×C22⋊Q8—591no—
865C2×C22⋊Q8—591no—
866C2×C22⋊Q8—591no—
867C2×C22⋊Q8—591no—
868C2×C22⋊Q8—591no—
869C2×C22⋊Q8—591no—
870C2×C22⋊Q8—591no—
871C2×C22⋊Q8—591no—
872C2×#121—591no—
873C2×#121—591no—
874C2×#121—591no—
875C2×#120—591no—
876C2×#120C2×D5911yescharacteristic
877C2×C4×D4—591no—
878C2×C4×D4—591no—
879C22×C4⋊C4—591no—
880C22×C22⋊C4—591no—
881C22×C22⋊C4—591no—
882C22×C22⋊C4—591no—
883C22×C22⋊C4C2×D5911yescharacteristic
884C22×C22⋊C4C2×D5911yescharacteristic
885C22×C42—591no—
886#400—591no—
887#400—591no—
888#400—591no—
889#400—591no—
890#399—591no—
891#399—591no—
892#398—591no—
893#398—591no—
894#398—591no—
895#398—591no—
896#398—591no—
897#398—591no—
898#398—591no—
899#398—591no—
900#397—591no—
901#397—591no—
902#397—591no—
903#397—591no—
904#397—591no—
905#397—591no—
906#397—591no—
907#397—591no—
908#397C2×D5911yescharacteristic
909#397C2×D5911yescharacteristic
910#396—591no—
911#396—591no—
912#396—591no—
913#396—591no—
914#395—591no—
915#395—591no—
916#395—591no—
917#395—591no—
918#395—591no—
919#395—591no—
920#394—591no—
921#394—591no—
922#394—591no—
923#394—591no—
924#394—591no—
925#394—591no—
926#394—591no—
927#394—591no—
928#394C2×D5911yescharacteristic
929#394C2×D5911yescharacteristic
930#393—591no—
931#393—591no—
932#393—591no—
933#393—591no—
934#391—591no—
935#391—591no—
936#391—591no—
937#391—591no—
938#391—591no—
939#390—591no—
940#389—591no—
941#389—591no—
942#389—591no—
943#389—591no—
944#389—591no—
945#389—591no—
946#388—591no—
947#388—591no—
948#388—591no—
949#388—591no—
950#388—591no—
951#388—591no—
952#388—591no—
953#388—591no—
954#388—591no—
955#388—591no—
956#388—591no—
957#388—591no—
958#387—591no—
959#387—591no—
960#387—591no—
961#387—591no—
962#386—591no—
963#386—591no—
964#386—591no—
965#386—591no—
966#386—591no—
967#386—591no—
968#386—591no—
969#386—591no—
970#386—591no—
971#386C2×D5911yescharacteristic
972#386C2×D5911yescharacteristic
973#386C2×D5911yescharacteristic
974#385—591no—
975#385—591no—
976#385—591no—
977#385—591no—
978#385—591no—
979#385—591no—
980#385—591no—
981#385C2×D5911yescharacteristic
982#384—591no—
983#382—591no—
984#381—591no—
985#381—591no—
986#381—591no—
987#381C2×D5911yescharacteristic
988#380—591no—
989#380—591no—
990#380—591no—
991#380—591no—
992#380—591no—
993#380—591no—
994#380—591no—
995#380—591no—
996#380C2×D5911yescharacteristic
997#380C2×D5911yescharacteristic
998C2×#95—591no—
999C2×#95—591no—
1000C59#3674011yescharacteristic, complemented, Sylow
1001C25C22×D5911yescharacteristic
1002C22×Q8—591no—
1003C22×Q8—591no—
1004C22×Q8—591no—
1005C22×Q8—591no—
1006C22×Q8—591no—
1007C22×D4—591no—
1008C22×D4—591no—
1009C22×D4—591no—
1010C22×D4—591no—
1011C22×D4C22×D5911yescharacteristic
1012C22×D4C22×D5911yescharacteristic
1013C22×D4C22×D5911yescharacteristic
1014C23×C4—591no—
1015C23×C4—591no—
1016C23×C4—591no—
1017C23×C4—591no—
1018C23×C4—591no—
1019C23×C4—591no—
1020C23×C4—591no—
1021C23×C4—591no—
1022C23×C4C22×D5911yescharacteristic
1023C23×C4C22×D5911yescharacteristic
1024C23×C4C22×D5911yescharacteristic
1025C23×C4C22×D5911yescharacteristic
1026C4⋊Q8—2362no—
1027#126—1184no—
1028#126—1184no—
1029#124—1184no—
1030#124—1184no—
1031#124—2362no—
1032#123—42no—
1033#123—1184no—
1034#123—1184no—
1035#123—2362no—
1036#123—2362no—
1037#123—2362no—
1038C22⋊Q8—1184no—
1039C22⋊Q8—1184no—
1040C22⋊Q8—1184no—
1041C22⋊Q8—1184no—
1042C22⋊Q8—1184no—
1043C22⋊Q8—1184no—
1044C22⋊Q8—1184no—
1045C22⋊Q8—1184no—
1046C22⋊Q8—1184no—
1047C22⋊Q8—1184no—
1048C22⋊Q8—1184no—
1049C22⋊Q8—1184no—
1050C22⋊Q8—1184no—
1051C22⋊Q8—2362no—
1052C22⋊Q8—2362no—
1053#121—1184no—
1054#121—1184no—
1055#121—1184no—
1056#120—24no—
1057#120—1184no—
1058C4×D4—1184no—
1059C4×D4—1184no—
1060C2×C4⋊C4—591no—
1061C2×C4⋊C4—591no—
1062C2×C4⋊C4—591no—
1063C2×C4⋊C4—591no—
1064C2×C4⋊C4—591no—
1065C2×C4⋊C4—591no—
1066C2×C4⋊C4—591no—
1067C2×C4⋊C4—591no—
1068C2×C4⋊C4—591no—
1069C2×C4⋊C4—591no—
1070C2×C4⋊C4—591no—
1071C2×C4⋊C4—591no—
1072C2×C4⋊C4—591no—
1073C2×C4⋊C4—591no—
1074C2×C4⋊C4—591no—
1075C2×C4⋊C4—591no—
1076C2×C4⋊C4—591no—
1077C2×C4⋊C4—591no—
1078C2×C4⋊C4—591no—
1079C2×C4⋊C4—591no—
1080C2×C4⋊C4—591no—
1081C2×C4⋊C4—591no—
1082C2×C4⋊C4—591no—
1083C2×C4⋊C4—591no—
1084C2×C4⋊C4—591no—
1085C2×C4⋊C4—591no—
1086C2×C4⋊C4—591no—
1087C2×C4⋊C4—591no—
1088C2×C4⋊C4—591no—
1089C2×C4⋊C4—591no—
1090C2×C4⋊C4—591no—
1091C2×C4⋊C4—591no—
1092C2×C4⋊C4—591no—
1093C2×C4⋊C4—591no—
1094C2×C4⋊C4—2362no—
1095C2×C4⋊C4C22×D5911yescharacteristic
1096C2×C4⋊C4C22×D5911yescharacteristic
1097C2×C4⋊C4C22×D5911yescharacteristic
1098C2×C4⋊C4C22×D5911yescharacteristic
1099C2×C22⋊C4—24no—
1100C2×C22⋊C4—42no—
1101C2×C22⋊C4—598no—
1102C2×C22⋊C4—591no—
1103C2×C22⋊C4—591no—
1104C2×C22⋊C4—591no—
1105C2×C22⋊C4—591no—
1106C2×C22⋊C4—591no—
1107C2×C22⋊C4—591no—
1108C2×C22⋊C4—591no—
1109C2×C22⋊C4—591no—
1110C2×C22⋊C4—591no—
1111C2×C22⋊C4—591no—
1112C2×C22⋊C4—591no—
1113C2×C22⋊C4—591no—
1114C2×C22⋊C4—591no—
1115C2×C22⋊C4—591no—
1116C2×C22⋊C4—591no—
1117C2×C22⋊C4—591no—
1118C2×C22⋊C4—591no—
1119C2×C22⋊C4—591no—
1120C2×C22⋊C4—591no—
1121C2×C22⋊C4—591no—
1122C2×C22⋊C4—591no—
1123C2×C22⋊C4—591no—
1124C2×C22⋊C4—591no—
1125C2×C22⋊C4—591no—
1126C2×C22⋊C4—591no—
1127C2×C22⋊C4—591no—
1128C2×C22⋊C4—591no—
1129C2×C22⋊C4—591no—
1130C2×C22⋊C4—591no—
1131C2×C22⋊C4—591no—
1132C2×C22⋊C4—591no—
1133C2×C22⋊C4—1184no—
1134C2×C22⋊C4—2362no—
1135C2×C22⋊C4C22×D5911yescharacteristic
1136C2×C22⋊C4C22×D5911yescharacteristic
1137C2×C22⋊C4C22×D5911yescharacteristic
1138C2×C22⋊C4C22×D5911yescharacteristic
1139C2×C22⋊C4C22×D5911yescharacteristic
1140C2×C22⋊C4C22×D5911yescharacteristic
1141C2×C22⋊C4C22×D5911yescharacteristic
1142C2×C22⋊C4C22×D5911yescharacteristic
1143C2×C22⋊C4C22×D5911yescharacteristic
1144C2×C22⋊C4C22×D5911yescharacteristic
1145C2×C22⋊C4C22×D5911yescharacteristic
1146C2×C22⋊C4C22×D5911yescharacteristic
1147C2×C22⋊C4C22×D5911yescharacteristic
1148C2×C22⋊C4C22×D5911yescharacteristic
1149C2×C22⋊C4C22×D5911yescharacteristic
1150C2×C42—591no—
1151C2×C42—591no—
1152C2×C42—591no—
1153C2×C42—591no—
1154C2×C42—591no—
1155C2×C42—591no—
1156C2×C42—2362no—
1157#95—591no—
1158#95—591no—
1159#95—591no—
1160#95—591no—
1161#95—591no—
1162#95—591no—
1163#95—591no—
1164#95—591no—
1165#95—591no—
1166#95—591no—
1167#95—591no—
1168#95—591no—
1169#95—591no—
1170#95—591no—
1171#95—591no—
1172#95—591no—
1173#95—591no—
1174#95—591no—
1175#95—591no—
1176#95—591no—
1177#95—591no—
1178#95—591no—
1179#95—591no—
1180#95—591no—
1181#95—591no—
1182#95—591no—
1183#95—591no—
1184#95—591no—
1185#95—591no—
1186#95—591no—
1187#95—591no—
1188#95—591no—
1189#95C22×D5911yescharacteristic
1190#95C22×D5911yescharacteristic
1191#95C22×D5911yescharacteristic
1192#95C22×D5911yescharacteristic
1193#95C22×D5911yescharacteristic
1194#95C22×D5911yescharacteristic
1195#95C22×D5911yescharacteristic
1196#95C22×D5911yescharacteristic
1197C24—22no—
1198C24—22no—
1199C24—41no—
1200C24—41no—
1201C24—41no—
1202C24—41no—
1203C24—591no—
1204C24D4×D5914yes—
1205C24C23×D5911yescharacteristic
1206C24C23×D5911yescharacteristic
1207C24C23×D5911yescharacteristic
1208C24C23×D5911yescharacteristic
1209C2×Q8—1182no—
1210C2×Q8—1182no—
1211C2×Q8—1182no—
1212C2×Q8—1182no—
1213C2×Q8—1182no—
1214C2×Q8—2361no—
1215C2×Q8—2361no—
1216C2×Q8—2361no—
1217C2×Q8—2361no—
1218C2×Q8—2361no—
1219C2×Q8—2361no—
1220C2×Q8—2361no—
1221C2×Q8—2361no—
1222C2×Q8—2361no—
1223C2×Q8—2361no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—1182no—
1234C2×D4—1182no—
1235C2×D4—1182no—
1236C2×D4—1182no—
1237C2×D4—1182no—
1238C2×D4—1182no—
1239C2×D4—2361no—
1240C2×D4—2361no—
1241C2×D4—2361no—
1242C2×D4—2361no—
1243C2×D4—2361no—
1244C2×D4—2361no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—591no—
1258C22×C4—591no—
1259C22×C4—591no—
1260C22×C4—591no—
1261C22×C4—591no—
1262C22×C4—594no—
1263C22×C4—594no—
1264C22×C4—591no—
1265C22×C4—591no—
1266C22×C4—591no—
1267C22×C4—591no—
1268C22×C4—591no—
1269C22×C4—591no—
1270C22×C4—591no—
1271C22×C4—591no—
1272C22×C4—591no—
1273C22×C4—591no—
1274C22×C4—1182no—
1275C22×C4—1182no—
1276C22×C4—1182no—
1277C22×C4—1182no—
1278C22×C4—1182no—
1279C22×C4—1182no—
1280C22×C4—1182no—
1281C22×C4—2361no—
1282C22×C4—2361no—
1283C22×C4—2361no—
1284C22×C4—2361no—
1285C22×C4—2361no—
1286C22×C4—2361no—
1287C22×C4—2361no—
1288C22×C4—2361no—
1289C22×C4—2361no—
1290C22×C4—2361no—
1291C22×C4—2361no—
1292C22×C4—2361no—
1293C22×C4—2361no—
1294C22×C4—2361no—
1295C22×C4—2361no—
1296C22×C4C23×D5911yescharacteristic
1297C22×C4C23×D5911yescharacteristic
1298C22×C4C23×D5911yescharacteristic
1299C22×C4C23×D5911yescharacteristic
1300C22×C4C23×D5911yescharacteristic
1301C22×C4C23×D5911yescharacteristic
1302C22×C4C23×D5911yescharacteristic
1303C22×C4C23×D5911yescharacteristic
1304C22×C4C23×D5911yescharacteristic
1305C22×C4C23×D5911yescharacteristic
1306C22×C4C23×D5911yescharacteristic
1307C4⋊C4—22no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—1182no—
1312C4⋊C4—1182no—
1313C4⋊C4—1182no—
1314C4⋊C4—1182no—
1315C4⋊C4—1182no—
1316C4⋊C4—1182no—
1317C4⋊C4—1182no—
1318C4⋊C4—1182no—
1319C4⋊C4—1182no—
1320C4⋊C4—1182no—
1321C4⋊C4—1182no—
1322C4⋊C4—1182no—
1323C4⋊C4—1182no—
1324C4⋊C4—1182no—
1325C4⋊C4—1182no—
1326C4⋊C4—1182no—
1327C4⋊C4—1182no—
1328C4⋊C4—1182no—
1329C4⋊C4—1182no—
1330C4⋊C4—1182no—
1331C4⋊C4—1182no—
1332C4⋊C4—1182no—
1333C4⋊C4—1182no—
1334C4⋊C4—2361no—
1335C4⋊C4—2361no—
1336C4⋊C4—2361no—
1337C4⋊C4—2361no—
1338C4⋊C4—2361no—
1339C4⋊C4—2361no—
1340C4⋊C4—2361no—
1341C4⋊C4—2361no—
1342C4⋊C4—2361no—
1343C4⋊C4—2361no—
1344C4⋊C4—2361no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—594no—
1361C22⋊C4—594no—
1362C22⋊C4—594no—
1363C22⋊C4—594no—
1364C22⋊C4—1182no—
1365C22⋊C4—1182no—
1366C22⋊C4—1182no—
1367C22⋊C4—1182no—
1368C22⋊C4—1182no—
1369C22⋊C4—1182no—
1370C22⋊C4—1182no—
1371C22⋊C4—1182no—
1372C22⋊C4—1182no—
1373C22⋊C4—1182no—
1374C22⋊C4—1182no—
1375C22⋊C4—1182no—
1376C22⋊C4—1182no—
1377C22⋊C4—1182no—
1378C22⋊C4—1182no—
1379C22⋊C4—1182no—
1380C22⋊C4—2361no—
1381C22⋊C4—2361no—
1382C22⋊C4—2361no—
1383C22⋊C4—2361no—
1384C22⋊C4—2361no—
1385C22⋊C4—2361no—
1386C22⋊C4—2361no—
1387C22⋊C4—2361no—
1388C22⋊C4—2361no—
1389C22⋊C4—2361no—
1390C22⋊C4—2361no—
1391C42—1182no—
1392C42—1182no—
1393C42—1182no—
1394C42—1182no—
1395C42—2361no—
1396C42—2361no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—28no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—44no—
1422C23—44no—
1423C23—82no—
1424C23—82no—
1425C23—82no—
1426C23—82no—
1427C23—1181no—
1428C23—1181no—
1429C23—1181no—
1430C23—1181no—
1431C23—1181no—
1432C23—1181no—
1433C23—1181no—
1434C23C2×D4×D5912yes—
1435C23C2×D4×D5912yes—
1436C23C2×D4×D5912yes—
1437C23#1427377412yes—
1438C23#1427377412yes—
1439C23C24×D5911yescharacteristic
1440Q8—4722no—
1441Q8—4722no—
1442Q8—4722no—
1443Q8—4722no—
1444Q8—4722no—
1445D4—44no—
1446D4—82no—
1447D4—82no—
1448D4—4722no—
1449D4—4722no—
1450D4—4722no—
1451D4—2364no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—44no—
1485C2×C4—82no—
1486C2×C4—82no—
1487C2×C4—82no—
1488C2×C4—592no—
1489C2×C4—592no—
1490C2×C4—592no—
1491C2×C4—592no—
1492C2×C4—592no—
1493C2×C4—1181no—
1494C2×C4—1181no—
1495C2×C4—1181no—
1496C2×C4—1181no—
1497C2×C4—1181no—
1498C2×C4—1181no—
1499C2×C4—1181no—
1500C2×C4—1181no—
1501C2×C4—1181no—
1502C2×C4—1181no—
1503C2×C4—1181no—
1504C2×C4—1181no—
1505C2×C4—1181no—
1506C2×C4—1181no—
1507C2×C4—1181no—
1508C2×C4—1181no—
1509C2×C4—1181no—
1510C2×C4—1181no—
1511C2×C4—1181no—
1512C2×C4—1181no—
1513C2×C4—1181no—
1514C2×C4—1181no—
1515C2×C4—1181no—
1516C2×C4—1181no—
1517C2×C4—1181no—
1518C2×C4—1181no—
1519C2×C4—1181no—
1520C2×C4—1181no—
1521C2×C4—1181no—
1522C2×C4—1181no—
1523C2×C4—1181no—
1524C2×C4—1181no—
1525C2×C4—1181no—
1526C2×C4—1181no—
1527C2×C4—1181no—
1528C2×C4—1181no—
1529C2×C4—1181no—
1530C2×C4—1181no—
1531C2×C4—1181no—
1532C2×C4—1181no—
1533C2×C4—4722no—
1534C2×C4—4722no—
1535C2×C4—4722no—
1536C2×C4—4722no—
1537C2×C4—4722no—
1538C2×C4—2364no—
1539C2×C4—2364no—
1540C2×C4—2364no—
1541C2×C4#1427377212yes—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—88no—
1570C22—2361no—
1571C22—2361no—
1572C22—2361no—
1573C22—2361no—
1574C22—2361no—
1575C22—2361no—
1576C22—2361no—
1577C22#1683797414yes—
1578C22C22×D4×D5911yescharacteristic
1579C22H(5,𝔽2)×D5911yescharacteristic
1580C22C2×#1427377211yescharacteristic
1581C22C2×#1427377411yescharacteristic
1582C22C2×#1427377411yescharacteristic
1583C22#1683823711yescharacteristic
1584C22#1683823811yescharacteristic
1585C4—22no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—1182no—
1597C4—1182no—
1598C4—1182no—
1599C4—1182no—
1600C4—1182no—
1601C4—2361no—
1602C4—2361no—
1603C4—2361no—
1604C4—2361no—
1605C4—2361no—
1606C4—2361no—
1607C4—2361no—
1608C4—2361no—
1609C4—2361no—
1610C4—2361no—
1611C2—24no—
1612C2—42no—
1613C2—42no—
1614C2—81no—
1615C2—4721no—
1616C2C2×#1683797411yescharacteristic
1617C2#2143785311yescharacteristic
1618C2#2143785711yescharacteristic
1619C2#2143829311yescharacteristic
1620C2#2143831611yescharacteristic
1621C2#2143865411yescharacteristic
1622C2#2143871211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2412C2
prime radicalC2×#16837987C2
hypercenter#2412D59
hypocenterC59#36740
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2412

Complements

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

NH ≅ G/Ntype
1. C2×#16838028C2semidirect
3. #21432446C2semidirect
4. #21432393C2semidirect
5. #21430698C2semidirect
6. #21430696C2semidirect
7. #21430674C2semidirect
8. #21430672C2semidirect
9. #21430553C2semidirect
10. #21430547C2semidirect
11. #21430523C2semidirect
12. #21430517C2semidirect
13. #21430452C2semidirect
14. #21430450C2semidirect
15. #21430439C2semidirect
16. #21430438C2semidirect
17. #21430383C2semidirect
18. #21430377C2semidirect
19. #21430353C2semidirect
20. #21430347C2semidirect
21. #21430213C2semidirect
22. #21430026C2semidirect
23. #21429280C2semidirect
24. #21429274C2semidirect
25. #21427546C2semidirect
26. #21427544C2semidirect
27. #21427493C2semidirect
28. #21427492C2semidirect
29. #21427486C2semidirect
30. C2×#16837290C2semidirect
31. C59×#2412C2semidirect
34. C2×#14273726C22semidirect
39. C2×#14273713C22semidirect
49. C2×#14273705C22semidirect
59. C2×#14273704C22semidirect
71. #16837344C22semidirect
72. #16837344C22semidirect
73. #16837343C22semidirect
74. #16837343C22semidirect
75. #16837338C22semidirect
76. #16837337C22semidirect
77. #16837336C22semidirect
78. #16837336C22semidirect
79. #16837336C22semidirect
80. #16837336C22semidirect
81. #16837335C22semidirect
82. #16837335C22semidirect
83. #16837334C22semidirect
84. #16837333C22semidirect
85. #16837331C22semidirect
90. #16837330C22semidirect
93. #16837326C22semidirect
94. #16837325C22semidirect
95. #16837325C22semidirect
96. #16837324C22semidirect
97. #16837323C22semidirect
98. #16837323C22semidirect
99. #16837323C22semidirect
100. #16837322C22semidirect
101. #16837322C22semidirect
102. #16837322C22semidirect
105. #16837318C22semidirect
108. #16837317C22semidirect
111. #16837315C22semidirect
112. #16837315C22semidirect
113. #16837314C22semidirect
114. #16837314C22semidirect
115. #16837306C22semidirect
116. #16837306C22semidirect
117. #16837306C22semidirect
118. #16837306C22semidirect
119. #16837306C22semidirect
120. #16837302C22semidirect
121. #16837301C22semidirect
122. #16837299C22semidirect
123. #16837299C22semidirect
124. #16837299C22semidirect
125. #16837298C22semidirect
126. #16837297C22semidirect
127. #16837295C22semidirect
128. #16837294C22semidirect
129. #16837291C22semidirect
138. #16837290C22semidirect
139. #16837289C22semidirect
140. #16837288C22semidirect
141. #16837285C22semidirect
142. #16837284C22semidirect
153. #16837277C22semidirect
154. #16837276C22semidirect
157. #16837274C22semidirect
158. #16837273C22semidirect
159. #16837271C22semidirect
160. #16837266C22semidirect
166. #16837261C22semidirect
171. #16837260C22semidirect
829. #2412D59semidirect
1000. C59#36740semidirect

Maximal subgroups

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

subgroupindex
C2×#168380282
C2×#168379872
#214324462
#214323932
#214306982
#214306962
#214306742
#214306722
#214305532
#214305472
#214305232
#214305172
#214304522
#214304502
#214304392
#214304382
#214303832
#214303772
#214303532
#214303472
#214302132
#214300262
#214292802
#214292742
#214275462
#214275442
#214274932
#214274922
#214274862
C2×#168372902
C59×#24122
#3674059