Finite Group Databasebeta

← #28796066

Subgroups — #28796066

Order 15104.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837987C211yesmaximal, characteristic, complemented
2C2×#16837987C211yesmaximal, characteristic, complemented
3#21432378C211yesmaximal, characteristic, complemented
4#21431001C211yesmaximal, characteristic, complemented
5#21430904C211yesmaximal, characteristic, complemented
6#21430902C211yesmaximal, characteristic, complemented
7#21430863C211yesmaximal, characteristic, complemented
8#21430628C211yesmaximal, characteristic, complemented
9#21430626C211yesmaximal, characteristic, complemented
10#21430602C211yesmaximal, characteristic, complemented
11#21430574C211yesmaximal, characteristic, complemented
12#21430572C211yesmaximal, characteristic, complemented
13#21430398C211yesmaximal, characteristic, complemented
14#21430391C211yesmaximal, characteristic, complemented
15#21430386C211yesmaximal, characteristic, complemented
16#21430348C211yesmaximal, characteristic, complemented
17#21430341C211yesmaximal, characteristic, complemented
18#21430333C211yesmaximal, characteristic, complemented
19#21430326C211yesmaximal, characteristic, complemented
20#21429834C211yesmaximal, characteristic, complemented
21#21429834C211yesmaximal, characteristic, complemented
22#21429280C211yesmaximal, characteristic, complemented
23#21429274C211yesmaximal, characteristic, complemented
24#21429060C211yesmaximal, characteristic, complemented
25#21429054C211yesmaximal, characteristic, complemented
26#21427546C211yesmaximal, characteristic, complemented
27#21427544C211yesmaximal, characteristic, complemented
28#21427535C211yesmaximal, characteristic, complemented
29#21427533C211yesmaximal, characteristic, complemented
30C2×#16837275C211yesmaximal, characteristic, complemented
31C59×#2847C211yesmaximal, characteristic, complemented
32#16837987—28no—
33#16837987—28no—
34C2×#14273720C2211yescharacteristic
35C2×#14273720C2211yescharacteristic
36C2×#14273720C2211yescharacteristic
37C2×#14273720C2211yescharacteristic
38C2×#14273714C2211yescharacteristic
39C2×#14273714C2211yescharacteristic
40C2×#14273713C2211yescharacteristic
41C2×#14273713C2211yescharacteristic
42C2×#14273709C2211yescharacteristic
43C2×#14273709C2211yescharacteristic
44C2×#14273708C2211yescharacteristic
45C2×#14273708C2211yescharacteristic
46C2×#14273705C2211yescharacteristic, complemented
47C2×#14273704C2211yescharacteristic
48C2×#14273704C2211yescharacteristic
49C2×#14273704C2211yescharacteristic, complemented
50C2×#14273701C2211yescharacteristic
51C2×#14273701C2211yescharacteristic
52C2×#14273701C2211yescharacteristic
53C2×#14273700C2211yescharacteristic, complemented
54C2×#14273699C2211yescharacteristic
55C2×#14273699C2211yescharacteristic
56C2×#14273699C2211yescharacteristic
57C2×#14273699C2211yescharacteristic
58C2×#14273699C2211yescharacteristic
59C2×#14273699C2211yescharacteristic
60C2×#14273699C2211yescharacteristic, complemented
61C2×#14273698C2211yescharacteristic
62C2×#14273698C2211yescharacteristic
63C2×#14273696C2211yescharacteristic
64C2×#14273696C2211yescharacteristic
65C2×D4×Dic59C2211yescharacteristic
66C2×D4×Dic59C2211yescharacteristic
67C2×(C22⋊D59)⋊C4C2211yescharacteristic
68C2×(C22⋊D59)⋊C4C2211yescharacteristic
69C22×Dic59⋊C4C2211yescharacteristic
70C22×Dic59⋊C4C2211yescharacteristic
71C22×C22⋊Dic59C2211yescharacteristic
72C22×C22⋊Dic59C2211yescharacteristic
73#16837344C2211yescharacteristic, complemented
74#16837343C2211yescharacteristic, complemented
75#16837338C2211yescharacteristic, complemented
76#16837337C2211yescharacteristic, complemented
77#16837336C2211yescharacteristic, complemented
78#16837336C2211yescharacteristic, complemented
79#16837336C2211yescharacteristic, complemented
80#16837335C2211yescharacteristic, complemented
81#16837334C2211yescharacteristic, complemented
82#16837333C2211yescharacteristic, complemented
83#16837331C2211yescharacteristic, complemented
84#16837330C2211yescharacteristic
85#16837330C2211yescharacteristic
86#16837330C2211yescharacteristic
87#16837330C2211yescharacteristic
88#16837330C2211yescharacteristic, complemented
89#16837326C2211yescharacteristic, complemented
90#16837326C2211yescharacteristic, complemented
91#16837325C2211yescharacteristic, complemented
92#16837325C2211yescharacteristic, complemented
93#16837325C2211yescharacteristic, complemented
94#16837325C2211yescharacteristic, complemented
95#16837324C2211yescharacteristic, complemented
96#16837324C2211yescharacteristic, complemented
97#16837323C2211yescharacteristic, complemented
98#16837322C2211yescharacteristic, complemented
99#16837320C2211yescharacteristic, complemented
100#16837318C2211yescharacteristic, complemented
101#16837317C2211yescharacteristic
102#16837317C2211yescharacteristic
103#16837317C2211yescharacteristic
104#16837317C2211yescharacteristic
105#16837317C2211yescharacteristic, complemented
106#16837317C2211yescharacteristic, complemented
107#16837317C2211yescharacteristic, complemented
108#16837316C2211yescharacteristic
109#16837316C2211yescharacteristic
110#16837316C2211yescharacteristic
111#16837316C2211yescharacteristic
112#16837316C2211yescharacteristic, complemented
113#16837315C2211yescharacteristic, complemented
114#16837314C2211yescharacteristic, complemented
115#16837311C2211yescharacteristic, complemented
116#16837310C2211yescharacteristic
117#16837310C2211yescharacteristic
118#16837310C2211yescharacteristic
119#16837310C2211yescharacteristic
120#16837310C2211yescharacteristic, complemented
121#16837306C2211yescharacteristic, complemented
122#16837306C2211yescharacteristic, complemented
123#16837302C2211yescharacteristic, complemented
124#16837302C2211yescharacteristic, complemented
125#16837299C2211yescharacteristic, complemented
126#16837299C2211yescharacteristic, complemented
127#16837297C2211yescharacteristic, complemented
128#16837297C2211yescharacteristic, complemented
129#16837296C2211yescharacteristic, complemented
130#16837295C2211yescharacteristic, complemented
131#16837292C2211yescharacteristic, complemented
132#16837291C2211yescharacteristic, complemented
133#16837289C2211yescharacteristic, complemented
134#16837288C2211yescharacteristic, complemented
135#16837285C2211yescharacteristic, complemented
136#16837284C2211yescharacteristic, complemented
137#16837282C2211yescharacteristic
138#16837282C2211yescharacteristic
139#16837282C2211yescharacteristic, complemented
140#16837281C2211yescharacteristic
141#16837281C2211yescharacteristic
142#16837281C2211yescharacteristic
143#16837281C2211yescharacteristic
144#16837281C2211yescharacteristic
145#16837281C2211yescharacteristic
146#16837280C2211yescharacteristic, complemented
147#16837279C2211yescharacteristic
148#16837279C2211yescharacteristic
149#16837279C2211yescharacteristic, complemented
150#16837278C2211yescharacteristic, complemented
151#16837277C2211yescharacteristic, complemented
152#16837276C2211yescharacteristic, complemented
153#16837275C2211yescharacteristic
154#16837275C2211yescharacteristic
155#16837275C2211yescharacteristic
156#16837275C2211yescharacteristic
157#16837275C2211yescharacteristic
158#16837275C2211yescharacteristic
159#16837275C2211yescharacteristic
160#16837275C2211yescharacteristic
161#16837274C2211yescharacteristic, complemented
162#16837273C2211yescharacteristic, complemented
163#16837262C2211yescharacteristic
164#16837262C2211yescharacteristic
165#16837262C2211yescharacteristic
166#16837261C2211yescharacteristic, complemented
167#16837261C2211yescharacteristic, complemented
168#16837260C2211yescharacteristic
169#16837260C2211yescharacteristic
170#16837260C2211yescharacteristic, complemented
171#16837260C2211yescharacteristic, complemented
172C2×C59⋊#95C2211yescharacteristic
173C2×C59⋊#95C2211yescharacteristic
174C24×C4×C59C2211yescharacteristic
175C2×#121×C59C2211yescharacteristic
176C2×#121×C59C2211yescharacteristic
177C2×#121×C59C2211yescharacteristic
178C2×#120×C59C2211yescharacteristic
179C2×#120×C59C2211yescharacteristic
180C59×#386C2211yescharacteristic
181C59×#386C2211yescharacteristic
182C59×#386C2211yescharacteristic
183C59×#386C2211yescharacteristic
184C59×#386C2211yescharacteristic
185C59×#386C2211yescharacteristic
186C59×#380C2211yescharacteristic
187C59×#380C2211yescharacteristic
188C59×#380C2211yescharacteristic
189C22×Dic118C2311yescharacteristic
190C22×Dic118C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C23×Dic59C2311yescharacteristic
203C23×Dic59C2311yescharacteristic
204C23×Dic59C2311yescharacteristic
205C23×Dic59C2311yescharacteristic
206C23×Dic59C2311yescharacteristic
207C23×Dic59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210#14273720—24no—
211#14273720—24no—
212#14273720—24no—
213#14273720—24no—
214#14273714—24no—
215#14273714—24no—
216#14273713—24no—
217#14273713—24no—
218#14273709—24no—
219#14273709—24no—
220#14273708—24no—
221#14273708—24no—
222#14273705—42no—
223#14273704—24no—
224#14273704—24no—
225#14273704—42no—
226#14273701—42no—
227#14273701—42no—
228#14273701—42no—
229#14273700—42no—
230#14273699—24no—
231#14273699—24no—
232#14273699—24no—
233#14273699—24no—
234#14273699—42no—
235#14273699—42no—
236#14273699—42no—
237#14273698—24no—
238#14273698—24no—
239#14273696—24no—
240#14273696—24no—
241D4×Dic59—24no—
242D4×Dic59—24no—
243(C22⋊D59)⋊C4—24no—
244(C22⋊D59)⋊C4—24no—
245C2×C4⋊Dic59C2311yescharacteristic
246C2×C4⋊Dic59C2311yescharacteristic
247C2×C4⋊Dic59C2311yescharacteristic
248C2×C4⋊Dic59C2311yescharacteristic
249C2×C4⋊Dic59C2311yescharacteristic
250C2×C4⋊Dic59C2311yescharacteristic
251C2×C4⋊Dic59C2311yescharacteristic
252C2×Dic59⋊C4—42no—
253C2×Dic59⋊C4—42no—
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×Dic59⋊C4C2311yescharacteristic
274C2×Dic59⋊C4C2311yescharacteristic
275C2×Dic59⋊C4C2311yescharacteristic
276C2×C22⋊Dic59—42no—
277C2×C22⋊Dic59D418yescomplemented
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×C22⋊Dic59C2311yescharacteristic
298C2×C22⋊Dic59C2311yescharacteristic
299C2×C22⋊Dic59C2311yescharacteristic
300C2×C22⋊Dic59C2311yescharacteristic
301C2×C22⋊Dic59C2311yescharacteristic
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C2×(C2×D59)⋊C4C2311yescharacteristic
304C2×(C2×D59)⋊C4C2311yescharacteristic
305C2×(C2×D59)⋊C4C2311yescharacteristic
306C2×(C2×D59)⋊C4C2311yescharacteristic
307C2×(C2×D59)⋊C4C2311yescharacteristic
308C2×(C2×D59)⋊C4C2311yescharacteristic
309C2×(C2×D59)⋊C4C2311yescharacteristic
310C2×(C2×D59)⋊C4C2311yescharacteristic
311C2×(C2×D59)⋊C4C2311yescharacteristic
312C2×(C2×D59)⋊C4C2311yescharacteristic
313C2×(C2×D59)⋊C4C2311yescharacteristic
314C2×(C2×D59)⋊C4C2311yescharacteristic
315C2×(C2×D59)⋊C4C2311yescharacteristic
316C2×(C2×D59)⋊C4C2311yescharacteristic
317C2×(C2×D59)⋊C4C2311yescharacteristic
318C2×C4×Dic59C2311yescharacteristic
319C2×C4×Dic59C2311yescharacteristic
320C2×C4×Dic59C2311yescharacteristic
321C2×C4×Dic59C2311yescharacteristic
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
346C59⋊#95C2311yescharacteristic
347C59⋊#95C2311yescharacteristic
348C25×C59C2311yescharacteristic
349C22×D4×C59C2311yescharacteristic
350C22×D4×C59C2311yescharacteristic
351C22×D4×C59C2311yescharacteristic
352C22×D4×C59C2311yescharacteristic
353C22×D4×C59C2311yescharacteristic
354C22×D4×C59C2311yescharacteristic
355C22×D4×C59C2311yescharacteristic
356C23×C4×C59—42no—
357C23×C4×C59—42no—
358C23×C4×C59—42no—
359C23×C4×C59C2311yescharacteristic
360C23×C4×C59C2311yescharacteristic
361C23×C4×C59C2311yescharacteristic
362C23×C4×C59C2311yescharacteristic
363C23×C4×C59C2311yescharacteristic
364C23×C4×C59C2311yescharacteristic
365#121×C59—42no—
366#121×C59—42no—
367#121×C59—42no—
368#120×C59—24no—
369#120×C59—24no—
370C2×C4⋊C4×C59C2311yescharacteristic
371C2×C4⋊C4×C59C2311yescharacteristic
372C2×C4⋊C4×C59C2311yescharacteristic
373C2×C22⋊C4×C59C2311yescharacteristic
374C2×C22⋊C4×C59C2311yescharacteristic
375C2×C22⋊C4×C59C2311yescharacteristic
376C2×C22⋊C4×C59C2311yescharacteristic
377C2×C22⋊C4×C59C2311yescharacteristic
378C2×C22⋊C4×C59C2311yescharacteristic
379C2×C22⋊C4×C59C2311yescharacteristic
380C2×C22⋊C4×C59C2311yescharacteristic
381C2×C22⋊C4×C59C2311yescharacteristic
382C2×C22⋊C4×C59C2311yescharacteristic
383C2×C22⋊C4×C59C2311yescharacteristic
384C2×C22⋊C4×C59C2311yescharacteristic
385#95×C59C2311yescharacteristic
386#95×C59C2311yescharacteristic
387#95×C59C2311yescharacteristic
388#95×C59C2311yescharacteristic
389#95×C59C2311yescharacteristic
390#95×C59C2311yescharacteristic
391C24×C59—22no—
392C24×C59—22no—
393C24×C59—41no—
394C24×C59—41no—
395C24×C59—41no—
396C24×C59—41no—
397C24×C59C2×D414yes—
398C24×C59C2411yescharacteristic
399C24×C59C2411yescharacteristic
400C24×C59C2411yescharacteristic
401C24×C59C2411yescharacteristic
402C24×C59C2411yescharacteristic
403C23×D59C2411yescharacteristic
404C23×D59C2411yescharacteristic
405C2×D4×C59—22no—
406C2×D4×C59—22no—
407C2×D4×C59—22no—
408C2×D4×C59—22no—
409C2×D4×C59—22no—
410C2×D4×C59—22no—
411C2×D4×C59—22no—
412C2×D4×C59—22no—
413C2×D4×C59—22no—
414C2×D4×C59—22no—
415C2×D4×C59—22no—
416C2×D4×C59—41no—
417C2×D4×C59—41no—
418C2×D4×C59—41no—
419C2×D4×C59—41no—
420C2×D4×C59—41no—
421C2×D4×C59—41no—
422C2×D4×C59—41no—
423C2×D4×C59—41no—
424C2×D4×C59—41no—
425C2×D4×C59—41no—
426C22×C4×C59—22no—
427C22×C4×C59—22no—
428C22×C4×C59—22no—
429C22×C4×C59—22no—
430C22×C4×C59—22no—
431C22×C4×C59—22no—
432C22×C4×C59—22no—
433C22×C4×C59—22no—
434C22×C4×C59—41no—
435C22×C4×C59—41no—
436C22×C4×C59—41no—
437C22×C4×C59—41no—
438C22×C4×C59—41no—
439C22×C4×C59—41no—
440C22×C4×C59—41no—
441C22×C4×C59—41no—
442C22×C4×C59—41no—
443C22×C4×C59—41no—
444C22×C4×C59—416no—
445C22×C4×C59C2411yescharacteristic
446C22×C4×C59C2411yescharacteristic
447C22×C4×C59C2411yescharacteristic
448C22×C4×C59C2411yescharacteristic
449C22×C4×C59C2411yescharacteristic
450C22×C4×C59C2411yescharacteristic
451C22×C4×C59C2411yescharacteristic
452C22×C4×C59C2411yescharacteristic
453C22×C4×C59C2411yescharacteristic
454C22×C4×C59C2411yescharacteristic
455C2×C22⋊D59—22no—
456C2×C22⋊D59—22no—
457C2×C22⋊D59—22no—
458C2×C22⋊D59—22no—
459C2×C22⋊D59—22no—
460C2×C22⋊D59—22no—
461C2×C22⋊D59—22no—
462C2×C22⋊D59—22no—
463C2×C22⋊D59—22no—
464C2×C22⋊D59—22no—
465C2×C22⋊D59—22no—
466C2×C22⋊D59—22no—
467C2×C22⋊D59—41no—
468C2×C22⋊D59—41no—
469C2×C22⋊D59—41no—
470C2×C22⋊D59—41no—
471C2×C22⋊D59—41no—
472C2×C22⋊D59—41no—
473C2×C22⋊D59—41no—
474C2×C22⋊D59—41no—
475C2×C22⋊D59—41no—
476C2×C22⋊D59—41no—
477C2×C22⋊D59—41no—
478C2×C22⋊D59—41no—
479C2×C22⋊D59—41no—
480C2×C22⋊D59—41no—
481C2×C22⋊D59—41no—
482C2×C22⋊D59—41no—
483C2×C22⋊D59—41no—
484C2×C22⋊D59—41no—
485C22×Dic59—22no—
486C22×Dic59—22no—
487C22×Dic59—22no—
488C22×Dic59—22no—
489C22×Dic59—41no—
490C22×Dic59—41no—
491C22×Dic59—41no—
492C22×Dic59—41no—
493C22×Dic59—41no—
494C22×Dic59—41no—
495C22×Dic59—41no—
496C22×Dic59—41no—
497C22×Dic59—41no—
498C22×Dic59—41no—
499C22×Dic59—41no—
500C22×Dic59—41no—
501C22×Dic59C2×D414yes—
502C22×Dic59C2×D414yes—
503C22×Dic59C2411yescharacteristic
504C22×Dic59C2411yescharacteristic
505C22×Dic59C2411yescharacteristic
506C22×Dic59C2411yescharacteristic
507C22×Dic59C2411yescharacteristic
508C22×Dic59C2411yescharacteristic
509C22×Dic59C2411yescharacteristic
510C22×Dic59C2411yescharacteristic
511C22×Dic59C2411yescharacteristic
512C22×Dic59C2411yescharacteristic
513C22×Dic59C2411yescharacteristic
514C22×Dic59C2411yescharacteristic
515C22×Dic59C2411yescharacteristic
516C22×Dic59C2411yescharacteristic
517C2×D236—22no—
518C2×D236—41no—
519C2×D236—41no—
520C2×C4×D59—22no—
521C2×C4×D59—22no—
522C2×C4×D59—41no—
523C2×C4×D59—41no—
524C2×C4×D59—41no—
525C2×C4×D59—41no—
526C2×Dic118—22no—
527C2×Dic118—22no—
528C2×Dic118—41no—
529C2×Dic118—41no—
530C2×Dic118—41no—
531C2×Dic118—41no—
532C4⋊C4×C59—22no—
533C4⋊C4×C59—41no—
534C4⋊C4×C59—41no—
535C22⋊C4×C59—22no—
536C22⋊C4×C59—22no—
537C22⋊C4×C59—22no—
538C22⋊C4×C59—22no—
539C22⋊C4×C59—22no—
540C22⋊C4×C59—22no—
541C22⋊C4×C59—22no—
542C22⋊C4×C59—22no—
543C22⋊C4×C59—41no—
544C22⋊C4×C59—41no—
545C22⋊C4×C59—41no—
546C22⋊C4×C59—41no—
547C22⋊Dic59—22no—
548C22⋊Dic59—22no—
549C22⋊Dic59—22no—
550C22⋊Dic59—22no—
551C22⋊Dic59—22no—
552C22⋊Dic59—22no—
553C22⋊Dic59—22no—
554C22⋊Dic59—22no—
555C22⋊Dic59—22no—
556C22⋊Dic59—22no—
557C22⋊Dic59—41no—
558C22⋊Dic59—41no—
559C22⋊Dic59—41no—
560C22⋊Dic59—41no—
561C22⋊Dic59—41no—
562C22⋊Dic59—41no—
563C22⋊Dic59—41no—
564C22⋊Dic59—41no—
565C22⋊Dic59—41no—
566C22⋊Dic59—41no—
567C22⋊Dic59C2×D414yes—
568C22⋊Dic59C2×D414yes—
569C22⋊Dic59C2×D414yes—
570C22⋊Dic59C2×D414yes—
571(C2×D59)⋊C4—22no—
572(C2×D59)⋊C4—22no—
573(C2×D59)⋊C4—22no—
574(C2×D59)⋊C4—22no—
575(C2×D59)⋊C4—22no—
576(C2×D59)⋊C4—22no—
577(C2×D59)⋊C4—41no—
578(C2×D59)⋊C4—41no—
579(C2×D59)⋊C4—41no—
580(C2×D59)⋊C4—41no—
581(C2×D59)⋊C4—41no—
582(C2×D59)⋊C4—41no—
583(C2×D59)⋊C4—41no—
584(C2×D59)⋊C4—41no—
585(C2×D59)⋊C4—41no—
586(C2×D59)⋊C4—41no—
587C4⋊Dic59—22no—
588C4⋊Dic59—22no—
589C4⋊Dic59—22no—
590C4⋊Dic59—22no—
591C4⋊Dic59—22no—
592C4⋊Dic59—41no—
593C4⋊Dic59—41no—
594Dic59⋊C4—22no—
595Dic59⋊C4—22no—
596Dic59⋊C4—22no—
597Dic59⋊C4—22no—
598Dic59⋊C4—22no—
599Dic59⋊C4—22no—
600Dic59⋊C4—22no—
601Dic59⋊C4—22no—
602Dic59⋊C4—22no—
603Dic59⋊C4—22no—
604Dic59⋊C4—22no—
605Dic59⋊C4—22no—
606Dic59⋊C4—41no—
607Dic59⋊C4—41no—
608Dic59⋊C4—41no—
609Dic59⋊C4—41no—
610Dic59⋊C4—41no—
611Dic59⋊C4—41no—
612Dic59⋊C4—41no—
613Dic59⋊C4—41no—
614Dic59⋊C4—41no—
615Dic59⋊C4—41no—
616C4×Dic59—22no—
617C4×Dic59—22no—
618C4×Dic59—22no—
619C4×Dic59—22no—
620C23×C59—21no—
621C23×C59—21no—
622C23×C59—21no—
623C23×C59—21no—
624C23×C59—28no—
625C23×C59—21no—
626C23×C59—21no—
627C23×C59—21no—
628C23×C59—21no—
629C23×C59—21no—
630C23×C59—21no—
631C23×C59—21no—
632C23×C59—21no—
633C23×C59—21no—
634C23×C59—21no—
635C23×C59—21no—
636C23×C59—21no—
637C23×C59—21no—
638C23×C59—21no—
639C23×C59—21no—
640C23×C59—21no—
641C23×C59—21no—
642C23×C59—21no—
643C23×C59—21no—
644C23×C59—21no—
645C23×C59—21no—
646C23×C59—21no—
647C23×C59—21no—
648C23×C59—21no—
649C23×C59—21no—
650C23×C59—21no—
651C23×C59—44no—
652C23×C59—44no—
653C23×C59—44no—
654C23×C59—44no—
655C23×C59—44no—
656C23×C59—44no—
657C23×C59C22×D412yes—
658C23×C59C22×D412yes—
659C23×C59C22×D412yes—
660C23×C59H(5,𝔽2)12yes—
661C23×C592−1+412yes—
662C23×C59C2511yescharacteristic
663C22×D59—21no—
664C22×D59—21no—
665C22×D59—21no—
666C22×D59—21no—
667C22×D59—21no—
668C22×D59—21no—
669C22×D59—21no—
670C22×D59—21no—
671C22×D59—21no—
672C22×D59—21no—
673C22×D59—21no—
674C22×D59—21no—
675C22×D59—21no—
676C22×D59—21no—
677D4×C59—44no—
678D4×C59—44no—
679D4×C59—82no—
680D4×C59—82no—
681D4×C59—82no—
682D4×C59—82no—
683D4×C59—82no—
684C2×C4×C59—21no—
685C2×C4×C59—21no—
686C2×C4×C59—21no—
687C2×C4×C59—21no—
688C2×C4×C59—21no—
689C2×C4×C59—21no—
690C2×C4×C59—21no—
691C2×C4×C59—21no—
692C2×C4×C59—21no—
693C2×C4×C59—21no—
694C2×C4×C59—21no—
695C2×C4×C59—21no—
696C2×C4×C59—21no—
697C2×C4×C59—21no—
698C2×C4×C59—21no—
699C2×C4×C59—21no—
700C2×C4×C59—21no—
701C2×C4×C59—21no—
702C2×C4×C59—21no—
703C2×C4×C59—21no—
704C2×C4×C59—21no—
705C2×C4×C59—21no—
706C2×C4×C59—21no—
707C2×C4×C59—21no—
708C2×C4×C59—21no—
709C2×C4×C59—21no—
710C2×C4×C59—21no—
711C2×C4×C59—21no—
712C2×C4×C59—44no—
713C2×C4×C59—44no—
714C2×C4×C59—44no—
715C2×C4×C59—44no—
716C2×C4×C59—44no—
717C2×C4×C59—44no—
718C2×C4×C59H(5,𝔽2)12yes—
719C2×C4×C59H(5,𝔽2)12yes—
720C22⋊D59—44no—
721C22⋊D59—44no—
722C22⋊D59—82no—
723C22⋊D59—82no—
724C22⋊D59—82no—
725C22⋊D59—82no—
726C22⋊D59—82no—
727C22⋊D59—82no—
728C22⋊D59—82no—
729C22⋊D59—82no—
730C2×Dic59—21no—
731C2×Dic59—21no—
732C2×Dic59—21no—
733C2×Dic59—21no—
734C2×Dic59—21no—
735C2×Dic59—21no—
736C2×Dic59—21no—
737C2×Dic59—21no—
738C2×Dic59—21no—
739C2×Dic59—21no—
740C2×Dic59—21no—
741C2×Dic59—21no—
742C2×Dic59—21no—
743C2×Dic59—21no—
744C2×Dic59—21no—
745C2×Dic59—21no—
746C2×Dic59—21no—
747C2×Dic59—21no—
748C2×Dic59—21no—
749C2×Dic59—21no—
750C2×Dic59—21no—
751C2×Dic59—21no—
752C2×Dic59—21no—
753C2×Dic59—21no—
754C2×Dic59—21no—
755C2×Dic59—21no—
756C2×Dic59—21no—
757C2×Dic59—21no—
758C2×Dic59—21no—
759C2×Dic59—21no—
760C2×Dic59—21no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—44no—
769C2×Dic59—44no—
770C2×Dic59—82no—
771C2×Dic59—82no—
772C2×Dic59—82no—
773C2×Dic59—82no—
774C2×Dic59C22×D412yes—
775C2×Dic59C22×D412yes—
776C2×Dic59C22×D412yes—
777C2×Dic59C22×D412yes—
778D236—82no—
779C4×D59—82no—
780C4×D59—82no—
781Dic118—82no—
782Dic118—82no—
783#36738—591nomaximal, Sylow
784C22×C59—22no—
785C22×C59—22no—
786C22×C59—22no—
787C22×C59—22no—
788C22×C59—22no—
789C22×C59—22no—
790C22×C59—22no—
791C22×C59—22no—
792C22×C59—22no—
793C22×C59—22no—
794C22×C59—22no—
795C22×C59—22no—
796C22×C59—416no—
797C22×C59—41no—
798C22×C59—41no—
799C22×C59—41no—
800C22×C59—41no—
801C22×C59—41no—
802C22×C59—41no—
803C22×C59—41no—
804C22×C59—41no—
805C22×C59—41no—
806C22×C59—41no—
807C22×C59—41no—
808C22×C59—41no—
809C22×C59—41no—
810C22×C59—41no—
811C22×C59—41no—
812C22×C59—41no—
813C22×C59—41no—
814C22×C59—41no—
815C22×C59—41no—
816C22×C59—41no—
817C22×C59—41no—
818C22×C59—41no—
819C22×C59#53714yes—
820C22×C59C23×D411yescharacteristic
821C22×C59C2×H(5,𝔽2)11yescharacteristic
822C22×C59C2×H(5,𝔽2)11yescharacteristic
823C22×C59C2×H(5,𝔽2)11yescharacteristic
824C22×C59C2×2−1+411yescharacteristic
825C22×C59#58511yescharacteristic
826C22×C59#58511yescharacteristic
827C2×D59—41no—
828C2×D59—41no—
829C2×D59—41no—
830C2×D59—41no—
831C2×D59—41no—
832C2×D59—41no—
833C2×D59—41no—
834C2×D59—41no—
835C2×D59—41no—
836C2×D59—41no—
837C2×D59—41no—
838C2×D59—41no—
839C2×D59—41no—
840C2×D59—41no—
841C4×C59—22no—
842C4×C59—22no—
843C4×C59—41no—
844C4×C59—41no—
845C4×C59—41no—
846C4×C59—41no—
847C4×C59—41no—
848C4×C59—41no—
849C4×C59—41no—
850C4×C59—41no—
851Dic59—22no—
852Dic59—22no—
853Dic59—22no—
854Dic59—22no—
855Dic59—41no—
856Dic59—41no—
857Dic59—41no—
858Dic59—41no—
859Dic59—41no—
860Dic59—41no—
861Dic59—41no—
862Dic59—41no—
863Dic59—41no—
864Dic59—41no—
865C2×#538—591no—
866C2×#538—591no—
867#2847—591no—
868#2847D5911yescharacteristic, complemented
869#2722—591no—
870#2715—591no—
871#2715—591no—
872#2712—591no—
873#2695—591no—
874#2695—591no—
875#2693—591no—
876#2691—591no—
877#2691—591no—
878#2676—591no—
879#2676—591no—
880#2675—591no—
881#2672—591no—
882#2672—591no—
883#2671—591no—
884#2671—591no—
885#2617—591no—
886#2617—591no—
887#2564—591no—
888#2564—591no—
889#2543—591no—
890#2543—591no—
891#2417—591no—
892#2417—591no—
893#2416—591no—
894#2416—591no—
895C2×#385—591no—
896C2×C59—24no—
897C2×C59—42no—
898C2×C59—42no—
899C2×C59—81no—
900C2×C59—81no—
901C2×C59C2×#53711yescharacteristic
902C2×C59#349611yescharacteristic
903C2×C59#349611yescharacteristic
904C2×C59#353211yescharacteristic
905C2×C59#353311yescharacteristic
906C2×C59#354111yescharacteristic
907C2×C59#354111yescharacteristic
908D59—81no—
909D59—81no—
910C24×C4C2×D5911yescharacteristic
911#538—1188no—
912#538—1188no—
913C2×#126—591no—
914C2×#126—591no—
915C2×#126—591no—
916C2×#126—591no—
917C2×#124—591no—
918C2×#124—591no—
919C2×#124—591no—
920C2×#124—591no—
921C2×#123—591no—
922C2×#123—591no—
923C2×#123—591no—
924C2×#123—591no—
925C2×C22⋊Q8—591no—
926C2×C22⋊Q8—591no—
927C2×C22⋊Q8—591no—
928C2×C22⋊Q8—591no—
929C2×#121—591no—
930C2×#121—591no—
931C2×#121—591no—
932C2×#121—591no—
933C2×#121—591no—
934C2×#121—591no—
935C2×#121—591no—
936C2×#121—591no—
937C2×#121—591no—
938C2×#121—591no—
939C2×#121—591no—
940C2×#121—591no—
941C2×#121—591no—
942C2×#121C2×D5911yescharacteristic
943C2×#121C2×D5911yescharacteristic
944C2×#121C2×D5911yescharacteristic
945C2×#120—591no—
946C2×#120—591no—
947C2×#120C2×D5911yescharacteristic
948C2×#120C2×D5911yescharacteristic
949C2×C4×D4—591no—
950C2×C4×D4—591no—
951C2×C4×D4—591no—
952C2×C4×D4—591no—
953C22×C4⋊C4—591no—
954C22×C4⋊C4—591no—
955C22×C22⋊C4—591no—
956C22×C22⋊C4—591no—
957#400—591no—
958#400—591no—
959#399—591no—
960#399—591no—
961#398—591no—
962#398—591no—
963#398—591no—
964#398—591no—
965#398—591no—
966#398—591no—
967#397—591no—
968#397—591no—
969#397—591no—
970#397—591no—
971#397—591no—
972#397—591no—
973#396—591no—
974#396—591no—
975#396—591no—
976#396—591no—
977#396—591no—
978#396—591no—
979#396—591no—
980#396—591no—
981#395—591no—
982#395—591no—
983#394—591no—
984#394—591no—
985#394—591no—
986#394—591no—
987#394—591no—
988#394—591no—
989#394—591no—
990#394—591no—
991#394—591no—
992#394—591no—
993#394—591no—
994#394—591no—
995#394—591no—
996#394—591no—
997#393—591no—
998#393—591no—
999#392—591no—
1000#392—591no—
1001#392—591no—
1002#392—591no—
1003#392—591no—
1004#392—591no—
1005#391—591no—
1006#391—591no—
1007#390—591no—
1008#390—591no—
1009#389—591no—
1010#389—591no—
1011#389—591no—
1012#389—591no—
1013#388—591no—
1014#388—591no—
1015#388—591no—
1016#388—591no—
1017#387—591no—
1018#387—591no—
1019#387—591no—
1020#387—591no—
1021#386—591no—
1022#386—591no—
1023#386—591no—
1024#386—591no—
1025#386—591no—
1026#386—591no—
1027#386—591no—
1028#386—591no—
1029#386—591no—
1030#386—591no—
1031#386—591no—
1032#386—591no—
1033#386—591no—
1034#386—591no—
1035#386C2×D5911yescharacteristic
1036#386C2×D5911yescharacteristic
1037#386C2×D5911yescharacteristic
1038#386C2×D5911yescharacteristic
1039#386C2×D5911yescharacteristic
1040#386C2×D5911yescharacteristic
1041#385—591no—
1042#385—591no—
1043#385—591no—
1044#385—591no—
1045#385—591no—
1046#385—591no—
1047#385—591no—
1048#385—591no—
1049#385—591no—
1050#385—591no—
1051#385—591no—
1052#385—591no—
1053#380—591no—
1054#380—591no—
1055#380—591no—
1056#380—591no—
1057#380—591no—
1058#380—591no—
1059#380—591no—
1060#380—591no—
1061#380—591no—
1062#380C2×D5911yescharacteristic
1063#380C2×D5911yescharacteristic
1064#380C2×D5911yescharacteristic
1065C2×#95—591no—
1066C2×#95—591no—
1067C59#3673811yescharacteristic, complemented, Sylow
1068C25C22×D5911yescharacteristic
1069C22×Q8—591no—
1070C22×Q8—591no—
1071C22×D4—591no—
1072C22×D4—591no—
1073C22×D4—591no—
1074C22×D4—591no—
1075C22×D4—591no—
1076C22×D4—591no—
1077C22×D4—591no—
1078C22×D4—591no—
1079C22×D4—591no—
1080C22×D4—591no—
1081C22×D4—591no—
1082C22×D4C22×D5911yescharacteristic
1083C22×D4C22×D5911yescharacteristic
1084C22×D4C22×D5911yescharacteristic
1085C22×D4C22×D5911yescharacteristic
1086C22×D4C22×D5911yescharacteristic
1087C22×D4C22×D5911yescharacteristic
1088C22×D4C22×D5911yescharacteristic
1089C23×C4—42no—
1090C23×C4—42no—
1091C23×C4—42no—
1092C23×C4—591no—
1093C23×C4—591no—
1094C23×C4—591no—
1095C23×C4—591no—
1096C23×C4—591no—
1097C23×C4—591no—
1098C23×C4—591no—
1099C23×C4—591no—
1100C23×C4C22×D5911yescharacteristic
1101C23×C4C22×D5911yescharacteristic
1102C23×C4C22×D5911yescharacteristic
1103C23×C4C22×D5911yescharacteristic
1104C23×C4C22×D5911yescharacteristic
1105C23×C4C22×D5911yescharacteristic
1106#126—1184no—
1107#126—1184no—
1108#126—1184no—
1109#126—1184no—
1110#124—1184no—
1111#124—1184no—
1112#124—1184no—
1113#124—1184no—
1114#123—1184no—
1115#123—1184no—
1116#123—1184no—
1117#123—1184no—
1118C22⋊Q8—1184no—
1119C22⋊Q8—1184no—
1120C22⋊Q8—2362no—
1121C22⋊Q8—2362no—
1122#121—42no—
1123#121—42no—
1124#121—42no—
1125#121—1184no—
1126#121—1184no—
1127#121—1184no—
1128#121—1184no—
1129#121—1184no—
1130#121—1184no—
1131#121—2362no—
1132#121—2362no—
1133#121—2362no—
1134#121—2362no—
1135#121—2362no—
1136#121—2362no—
1137#121—2362no—
1138#120—24no—
1139#120—24no—
1140#120—1184no—
1141#120—1184no—
1142C4×D4—1184no—
1143C4×D4—1184no—
1144C4×D4—1184no—
1145C4×D4—1184no—
1146C2×C4⋊C4—591no—
1147C2×C4⋊C4—591no—
1148C2×C4⋊C4—591no—
1149C2×C4⋊C4—591no—
1150C2×C4⋊C4—591no—
1151C2×C4⋊C4—591no—
1152C2×C4⋊C4—591no—
1153C2×C4⋊C4—591no—
1154C2×C4⋊C4—591no—
1155C2×C4⋊C4—591no—
1156C2×C4⋊C4—591no—
1157C2×C4⋊C4—591no—
1158C2×C4⋊C4—591no—
1159C2×C4⋊C4—591no—
1160C2×C4⋊C4—591no—
1161C2×C4⋊C4—591no—
1162C2×C4⋊C4—591no—
1163C2×C4⋊C4—591no—
1164C2×C4⋊C4—591no—
1165C2×C4⋊C4—591no—
1166C2×C4⋊C4—591no—
1167C2×C4⋊C4—591no—
1168C2×C4⋊C4—591no—
1169C2×C4⋊C4—591no—
1170C2×C4⋊C4—591no—
1171C2×C4⋊C4—591no—
1172C2×C4⋊C4—591no—
1173C2×C4⋊C4—591no—
1174C2×C4⋊C4—591no—
1175C2×C4⋊C4—2362no—
1176C2×C4⋊C4—2362no—
1177C2×C4⋊C4C22×D5911yescharacteristic
1178C2×C4⋊C4C22×D5911yescharacteristic
1179C2×C4⋊C4C22×D5911yescharacteristic
1180C2×C22⋊C4—598no—
1181C2×C22⋊C4—591no—
1182C2×C22⋊C4—591no—
1183C2×C22⋊C4—591no—
1184C2×C22⋊C4—591no—
1185C2×C22⋊C4—591no—
1186C2×C22⋊C4—591no—
1187C2×C22⋊C4—591no—
1188C2×C22⋊C4—591no—
1189C2×C22⋊C4—591no—
1190C2×C22⋊C4—591no—
1191C2×C22⋊C4—591no—
1192C2×C22⋊C4—591no—
1193C2×C22⋊C4—591no—
1194C2×C22⋊C4—591no—
1195C2×C22⋊C4—591no—
1196C2×C22⋊C4—591no—
1197C2×C22⋊C4—591no—
1198C2×C22⋊C4—591no—
1199C2×C22⋊C4—591no—
1200C2×C22⋊C4—591no—
1201C2×C22⋊C4—591no—
1202C2×C22⋊C4—591no—
1203C2×C22⋊C4—591no—
1204C2×C22⋊C4—591no—
1205C2×C22⋊C4—591no—
1206C2×C22⋊C4—591no—
1207C2×C22⋊C4—591no—
1208C2×C22⋊C4—591no—
1209C2×C22⋊C4—591no—
1210C2×C22⋊C4—591no—
1211C2×C22⋊C4—591no—
1212C2×C22⋊C4—591no—
1213C2×C22⋊C4—591no—
1214C2×C22⋊C4—591no—
1215C2×C22⋊C4—591no—
1216C2×C22⋊C4—591no—
1217C2×C22⋊C4—591no—
1218C2×C22⋊C4—591no—
1219C2×C22⋊C4—591no—
1220C2×C22⋊C4—591no—
1221C2×C22⋊C4—2362no—
1222C2×C22⋊C4C22×D5911yescharacteristic
1223C2×C22⋊C4C22×D5911yescharacteristic
1224C2×C22⋊C4C22×D5911yescharacteristic
1225C2×C22⋊C4C22×D5911yescharacteristic
1226C2×C22⋊C4C22×D5911yescharacteristic
1227C2×C22⋊C4C22×D5911yescharacteristic
1228C2×C22⋊C4C22×D5911yescharacteristic
1229C2×C22⋊C4C22×D5911yescharacteristic
1230C2×C22⋊C4C22×D5911yescharacteristic
1231C2×C22⋊C4C22×D5911yescharacteristic
1232C2×C22⋊C4C22×D5911yescharacteristic
1233C2×C22⋊C4C22×D5911yescharacteristic
1234C2×C42—591no—
1235C2×C42—591no—
1236C2×C42—591no—
1237C2×C42—591no—
1238#95—591no—
1239#95—591no—
1240#95—591no—
1241#95—591no—
1242#95—591no—
1243#95—591no—
1244#95—591no—
1245#95—591no—
1246#95—591no—
1247#95—591no—
1248#95—591no—
1249#95—591no—
1250#95—591no—
1251#95—591no—
1252#95—591no—
1253#95—591no—
1254#95—591no—
1255#95—591no—
1256#95—591no—
1257#95—591no—
1258#95—591no—
1259#95—591no—
1260#95—591no—
1261#95—591no—
1262#95—591no—
1263#95—591no—
1264#95C22×D5911yescharacteristic
1265#95C22×D5911yescharacteristic
1266#95C22×D5911yescharacteristic
1267#95C22×D5911yescharacteristic
1268#95C22×D5911yescharacteristic
1269#95C22×D5911yescharacteristic
1270C24—22no—
1271C24—22no—
1272C24—41no—
1273C24—41no—
1274C24—41no—
1275C24—41no—
1276C24—591no—
1277C24—591no—
1278C24D4×D5914yes—
1279C24C23×D5911yescharacteristic
1280C24C23×D5911yescharacteristic
1281C24C23×D5911yescharacteristic
1282C24C23×D5911yescharacteristic
1283C24C23×D5911yescharacteristic
1284C2×Q8—1182no—
1285C2×Q8—1182no—
1286C2×Q8—2361no—
1287C2×Q8—2361no—
1288C2×Q8—2361no—
1289C2×Q8—2361no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—1182no—
1312C2×D4—1182no—
1313C2×D4—1182no—
1314C2×D4—1182no—
1315C2×D4—1182no—
1316C2×D4—1182no—
1317C2×D4—1182no—
1318C2×D4—1182no—
1319C2×D4—1182no—
1320C2×D4—1182no—
1321C2×D4—1182no—
1322C2×D4—1182no—
1323C2×D4—1182no—
1324C2×D4—2361no—
1325C2×D4—2361no—
1326C2×D4—2361no—
1327C2×D4—2361no—
1328C2×D4—2361no—
1329C2×D4—2361no—
1330C2×D4—2361no—
1331C2×D4—2361no—
1332C2×D4—2361no—
1333C2×D4—2361no—
1334C2×D4—2361no—
1335C2×D4—2361no—
1336C2×D4—2361no—
1337C2×D4—2361no—
1338C2×D4—2361no—
1339C2×D4—2361no—
1340C2×D4—2361no—
1341C2×D4—2361no—
1342C2×D4—2361no—
1343C2×D4—2361no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—41no—
1356C22×C4—41no—
1357C22×C4—41no—
1358C22×C4—41no—
1359C22×C4—41no—
1360C22×C4—41no—
1361C22×C4—41no—
1362C22×C4—416no—
1363C22×C4—591no—
1364C22×C4—591no—
1365C22×C4—591no—
1366C22×C4—591no—
1367C22×C4—594no—
1368C22×C4—594no—
1369C22×C4—591no—
1370C22×C4—591no—
1371C22×C4—591no—
1372C22×C4—591no—
1373C22×C4—591no—
1374C22×C4—591no—
1375C22×C4—591no—
1376C22×C4—591no—
1377C22×C4—591no—
1378C22×C4—591no—
1379C22×C4—1182no—
1380C22×C4—1182no—
1381C22×C4—1182no—
1382C22×C4—1182no—
1383C22×C4—1182no—
1384C22×C4—1182no—
1385C22×C4—2361no—
1386C22×C4—2361no—
1387C22×C4—2361no—
1388C22×C4—2361no—
1389C22×C4—2361no—
1390C22×C4—2361no—
1391C22×C4—2361no—
1392C22×C4—2361no—
1393C22×C4—2361no—
1394C22×C4—2361no—
1395C22×C4—2361no—
1396C22×C4—2361no—
1397C22×C4—2361no—
1398C22×C4—2361no—
1399C22×C4—2361no—
1400C22×C4—2361no—
1401C22×C4C23×D5911yescharacteristic
1402C22×C4C23×D5911yescharacteristic
1403C22×C4C23×D5911yescharacteristic
1404C22×C4C23×D5911yescharacteristic
1405C22×C4C23×D5911yescharacteristic
1406C22×C4C23×D5911yescharacteristic
1407C22×C4C23×D5911yescharacteristic
1408C22×C4C23×D5911yescharacteristic
1409C22×C4C23×D5911yescharacteristic
1410C22×C4C23×D5911yescharacteristic
1411C4⋊C4—22no—
1412C4⋊C4—41no—
1413C4⋊C4—41no—
1414C4⋊C4—1182no—
1415C4⋊C4—1182no—
1416C4⋊C4—1182no—
1417C4⋊C4—1182no—
1418C4⋊C4—1182no—
1419C4⋊C4—1182no—
1420C4⋊C4—1182no—
1421C4⋊C4—1182no—
1422C4⋊C4—1182no—
1423C4⋊C4—1182no—
1424C4⋊C4—1182no—
1425C4⋊C4—1182no—
1426C4⋊C4—1182no—
1427C4⋊C4—1182no—
1428C4⋊C4—1182no—
1429C4⋊C4—1182no—
1430C4⋊C4—1182no—
1431C4⋊C4—2361no—
1432C4⋊C4—2361no—
1433C4⋊C4—2361no—
1434C4⋊C4—2361no—
1435C4⋊C4—2361no—
1436C4⋊C4—2361no—
1437C4⋊C4—2361no—
1438C4⋊C4—2361no—
1439C4⋊C4—2361no—
1440C4⋊C4—2361no—
1441C4⋊C4—2361no—
1442C4⋊C4—2361no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—594no—
1456C22⋊C4—594no—
1457C22⋊C4—594no—
1458C22⋊C4—594no—
1459C22⋊C4—1182no—
1460C22⋊C4—1182no—
1461C22⋊C4—1182no—
1462C22⋊C4—1182no—
1463C22⋊C4—1182no—
1464C22⋊C4—1182no—
1465C22⋊C4—1182no—
1466C22⋊C4—1182no—
1467C22⋊C4—1182no—
1468C22⋊C4—1182no—
1469C22⋊C4—1182no—
1470C22⋊C4—1182no—
1471C22⋊C4—1182no—
1472C22⋊C4—1182no—
1473C22⋊C4—1182no—
1474C22⋊C4—1182no—
1475C22⋊C4—2361no—
1476C22⋊C4—2361no—
1477C22⋊C4—2361no—
1478C22⋊C4—2361no—
1479C22⋊C4—2361no—
1480C22⋊C4—2361no—
1481C22⋊C4—2361no—
1482C22⋊C4—2361no—
1483C22⋊C4—2361no—
1484C22⋊C4—2361no—
1485C22⋊C4—2361no—
1486C22⋊C4—2361no—
1487C22⋊C4—2361no—
1488C22⋊C4—2361no—
1489C22⋊C4—2361no—
1490C22⋊C4—2361no—
1491C22⋊C4—2361no—
1492C22⋊C4—2361no—
1493C22⋊C4—2361no—
1494C22⋊C4—2361no—
1495C42—1182no—
1496C42—1182no—
1497C42—1182no—
1498C42—1182no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—28no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—44no—
1531C23—44no—
1532C23—44no—
1533C23—44no—
1534C23—44no—
1535C23—44no—
1536C23—1181no—
1537C23—1181no—
1538C23—1181no—
1539C23—1181no—
1540C23—1181no—
1541C23—1181no—
1542C23—1181no—
1543C23—1181no—
1544C23—1181no—
1545C23—1181no—
1546C23—1181no—
1547C23—1181no—
1548C23—1181no—
1549C23—1181no—
1550C23C2×D4×D5912yes—
1551C23C2×D4×D5912yes—
1552C23C2×D4×D5912yes—
1553C23#1427377212yes—
1554C23#1427377412yes—
1555C23C24×D5911yescharacteristic
1556Q8—4722no—
1557Q8—4722no—
1558D4—44no—
1559D4—44no—
1560D4—82no—
1561D4—82no—
1562D4—82no—
1563D4—82no—
1564D4—82no—
1565D4—4722no—
1566D4—4722no—
1567D4—4722no—
1568D4—4722no—
1569D4—4722no—
1570D4—4722no—
1571D4—4722no—
1572D4—4722no—
1573D4—4722no—
1574D4—2364no—
1575D4—2364no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—44no—
1605C2×C4—44no—
1606C2×C4—44no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—44no—
1610C2×C4—592no—
1611C2×C4—592no—
1612C2×C4—592no—
1613C2×C4—592no—
1614C2×C4—1181no—
1615C2×C4—1181no—
1616C2×C4—1181no—
1617C2×C4—1181no—
1618C2×C4—1181no—
1619C2×C4—1181no—
1620C2×C4—1181no—
1621C2×C4—1181no—
1622C2×C4—1181no—
1623C2×C4—1181no—
1624C2×C4—1181no—
1625C2×C4—1181no—
1626C2×C4—1181no—
1627C2×C4—1181no—
1628C2×C4—1181no—
1629C2×C4—1181no—
1630C2×C4—1181no—
1631C2×C4—1181no—
1632C2×C4—1181no—
1633C2×C4—1181no—
1634C2×C4—1181no—
1635C2×C4—1181no—
1636C2×C4—1181no—
1637C2×C4—1181no—
1638C2×C4—1181no—
1639C2×C4—1181no—
1640C2×C4—1181no—
1641C2×C4—1181no—
1642C2×C4—1181no—
1643C2×C4—1181no—
1644C2×C4—1181no—
1645C2×C4—1181no—
1646C2×C4—1181no—
1647C2×C4—1181no—
1648C2×C4—1181no—
1649C2×C4—1181no—
1650C2×C4—1181no—
1651C2×C4—1181no—
1652C2×C4—4722no—
1653C2×C4—4722no—
1654C2×C4—4722no—
1655C2×C4—4722no—
1656C2×C4—4722no—
1657C2×C4—4722no—
1658C2×C4—2364no—
1659C2×C4—2364no—
1660C2×C4#1427377212yes—
1661C2×C4#1427377212yes—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—416no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—2361no—
1698C22—2361no—
1699C22—2361no—
1700C22—2361no—
1701C22—2361no—
1702C22—2361no—
1703C22—2361no—
1704C22—2361no—
1705C22—2361no—
1706C22—2361no—
1707C22—2361no—
1708C22—2361no—
1709C22—2361no—
1710C22—2361no—
1711C22#1683797914yes—
1712C22C22×D4×D5911yescharacteristic
1713C22C2×#1427377211yescharacteristic
1714C22C2×#1427377211yescharacteristic
1715C22C2×#1427377211yescharacteristic
1716C22C2×#1427377411yescharacteristic
1717C22#1683823811yescharacteristic
1718C22#1683823811yescharacteristic
1719C4—22no—
1720C4—22no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—1182no—
1730C4—1182no—
1731C4—1182no—
1732C4—1182no—
1733C4—2361no—
1734C4—2361no—
1735C4—2361no—
1736C4—2361no—
1737C4—2361no—
1738C4—2361no—
1739C4—2361no—
1740C4—2361no—
1741C4—2361no—
1742C4—2361no—
1743C2—24no—
1744C2—42no—
1745C2—42no—
1746C2—81no—
1747C2—81no—
1748C2—4721no—
1749C2—4721no—
1750C2C2×#1683797911yescharacteristic
1751C2#2143785311yescharacteristic
1752C2#2143785311yescharacteristic
1753C2#2143825111yescharacteristic
1754C2#2143826011yescharacteristic
1755C2#2143838111yescharacteristic
1756C2#2143838911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2847C2
hypercenter#2847D59
hypocenterC59#36738
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2847

Complements

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

NH ≅ G/Ntype
1. C2×#16837987C2semidirect
2. C2×#16837987C2semidirect
3. #21432378C2semidirect
4. #21431001C2semidirect
5. #21430904C2semidirect
6. #21430902C2semidirect
7. #21430863C2semidirect
8. #21430628C2semidirect
9. #21430626C2semidirect
10. #21430602C2semidirect
11. #21430574C2semidirect
12. #21430572C2semidirect
13. #21430398C2semidirect
14. #21430391C2semidirect
15. #21430386C2semidirect
16. #21430348C2semidirect
17. #21430341C2semidirect
18. #21430333C2semidirect
19. #21430326C2semidirect
20. #21429834C2semidirect
21. #21429834C2semidirect
22. #21429280C2semidirect
23. #21429274C2semidirect
24. #21429060C2semidirect
25. #21429054C2semidirect
26. #21427546C2semidirect
27. #21427544C2semidirect
28. #21427535C2semidirect
29. #21427533C2semidirect
30. C2×#16837275C2semidirect
31. C59×#2847C2semidirect
46. C2×#14273705C22semidirect
49. C2×#14273704C22semidirect
53. C2×#14273700C22semidirect
60. C2×#14273699C22semidirect
73. #16837344C22semidirect
74. #16837343C22semidirect
75. #16837338C22semidirect
76. #16837337C22semidirect
77. #16837336C22semidirect
78. #16837336C22semidirect
79. #16837336C22semidirect
80. #16837335C22semidirect
81. #16837334C22semidirect
82. #16837333C22semidirect
83. #16837331C22semidirect
88. #16837330C22semidirect
89. #16837326C22semidirect
90. #16837326C22semidirect
91. #16837325C22semidirect
92. #16837325C22semidirect
93. #16837325C22semidirect
94. #16837325C22semidirect
95. #16837324C22semidirect
96. #16837324C22semidirect
97. #16837323C22semidirect
98. #16837322C22semidirect
99. #16837320C22semidirect
100. #16837318C22semidirect
105. #16837317C22semidirect
106. #16837317C22semidirect
107. #16837317C22semidirect
112. #16837316C22semidirect
113. #16837315C22semidirect
114. #16837314C22semidirect
115. #16837311C22semidirect
120. #16837310C22semidirect
121. #16837306C22semidirect
122. #16837306C22semidirect
123. #16837302C22semidirect
124. #16837302C22semidirect
125. #16837299C22semidirect
126. #16837299C22semidirect
127. #16837297C22semidirect
128. #16837297C22semidirect
129. #16837296C22semidirect
130. #16837295C22semidirect
131. #16837292C22semidirect
132. #16837291C22semidirect
133. #16837289C22semidirect
134. #16837288C22semidirect
135. #16837285C22semidirect
136. #16837284C22semidirect
139. #16837282C22semidirect
146. #16837280C22semidirect
149. #16837279C22semidirect
150. #16837278C22semidirect
151. #16837277C22semidirect
152. #16837276C22semidirect
161. #16837274C22semidirect
162. #16837273C22semidirect
166. #16837261C22semidirect
167. #16837261C22semidirect
170. #16837260C22semidirect
171. #16837260C22semidirect
277. C2×C22⋊Dic59D4semidirect
868. #2847D59semidirect
1067. C59#36738semidirect

Maximal subgroups

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

subgroupindex
C2×#168379872
#214323782
#214310012
#214309042
#214309022
#214308632
#214306282
#214306262
#214306022
#214305742
#214305722
#214303982
#214303912
#214303862
#214303482
#214303412
#214303332
#214303262
#214298342
#214292802
#214292742
#214290602
#214290542
#214275462
#214275442
#214275352
#214275332
C2×#168372752
C59×#28472
#3673859