Finite Group Databasebeta

← #28795672

Subgroups — #28795672

Order 15104.

2490 conjugacy classes of subgroups.

The subgroup lattice has 1656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837993C211yesmaximal, characteristic, complemented
2C2×C22⋊Q8×D59C211yesmaximal, characteristic, complemented
3#21432384C211yesmaximal, characteristic, complemented
4#21432377C211yesmaximal, characteristic
5#21430757C211yesmaximal, characteristic, complemented
6#21430755C211yesmaximal, characteristic, complemented
7#21430753C211yesmaximal, characteristic, complemented
8#21430751C211yesmaximal, characteristic, complemented
9#21430726C211yesmaximal, characteristic, complemented
10#21430724C211yesmaximal, characteristic, complemented
11#21430718C211yesmaximal, characteristic, complemented
12#21430469C211yesmaximal, characteristic, complemented
13#21430467C211yesmaximal, characteristic, complemented
14#21430466C211yesmaximal, characteristic, complemented
15#21430465C211yesmaximal, characteristic, complemented
16#21430455C211yesmaximal, characteristic, complemented
17#21430454C211yesmaximal, characteristic, complemented
18#21430447C211yesmaximal, characteristic, complemented
19#21430446C211yesmaximal, characteristic, complemented
20#21429910C211yesmaximal, characteristic, complemented
21#21429843C211yesmaximal, characteristic, complemented
22#21428990C211yesmaximal, characteristic, complemented
23#21428981C211yesmaximal, characteristic, complemented
24#21427502C211yesmaximal, characteristic, complemented
25#21427496C211yesmaximal, characteristic, complemented
26#21427480C211yesmaximal, characteristic, complemented
27#21427474C211yesmaximal, characteristic, complemented
28#21427459C211yesmaximal, characteristic, complemented
29#21427454C211yesmaximal, characteristic, complemented
30#21426711C211yesmaximal, characteristic, complemented
31C59×#2702C211yesmaximal, characteristic, complemented
32C22×Q8×D59C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34#16837993—28no—
35C2×#14273722C2211yescharacteristic, complemented
36C2×#14273719C2211yescharacteristic, complemented
37C2×#14273718C2211yescharacteristic, complemented
38C2×#14273712C2211yescharacteristic
39C2×#14273712C2211yescharacteristic
40C2×#14273711C2211yescharacteristic, complemented
41C2×#14273709C2211yescharacteristic
42C2×#14273709C2211yescharacteristic
43C2×#14273709C2211yescharacteristic, complemented
44C2×#14273707C2211yescharacteristic
45C2×#14273707C2211yescharacteristic
46C2×#14273707C2211yescharacteristic
47C2×#14273707C2211yescharacteristic, complemented
48C2×#14273706C2211yescharacteristic
49C2×#14273706C2211yescharacteristic
50C2×#14273705C2211yescharacteristic
51C2×#14273705C2211yescharacteristic
52C2×#14273705C2211yescharacteristic, complemented
53C2×#14273704C2211yescharacteristic
54C2×#14273704C2211yescharacteristic
55C2×#14273704C2211yescharacteristic, complemented
56C2×#14273704C2211yescharacteristic, complemented
57C2×#14273704C2211yescharacteristic, complemented
58C2×#14273703C2211yescharacteristic
59C2×#14273703C2211yescharacteristic, complemented
60C22⋊Q8×D59—28no—
61C2×#14273700C2211yescharacteristic
62C2×#14273700C2211yescharacteristic
63C2×#14273699C2211yescharacteristic
64C2×#14273697C2211yescharacteristic
65C2×#14273695C2211yescharacteristic
66C2×C4×D236C2211yescharacteristic
67C2×(C22⋊D59)⋊C4C2211yescharacteristic
68C2×#14273685C2211yescharacteristic
69C2×#14273684C2211yescharacteristic
70C2×C4⋊C4×D59C2211yescharacteristic
71C2×C4⋊C4×D59C2211yescharacteristic
72C2×C4⋊C4×D59C2211yescharacteristic
73C2×C22⋊C4×D59C2211yescharacteristic
74C2×C22⋊C4×D59C2211yescharacteristic
75#16837340C2211yescharacteristic, complemented
76#16837336C2211yescharacteristic, complemented
77#16837336C2211yescharacteristic, complemented
78#16837336C2211yescharacteristic, complemented
79#16837336C2211yescharacteristic, complemented
80#16837335C2211yescharacteristic, complemented
81#16837335C2211yescharacteristic, complemented
82#16837334C2211yescharacteristic, complemented
83#16837334C2211yescharacteristic, complemented
84#16837334C2211yescharacteristic, complemented
85#16837326C2211yescharacteristic
86#16837325C2211yescharacteristic
87#16837325C2211yescharacteristic
88#16837325C2211yescharacteristic
89#16837325C2211yescharacteristic
90#16837325C2211yescharacteristic, complemented
91#16837325C2211yescharacteristic, complemented
92#16837325C2211yescharacteristic, complemented
93#16837324C2211yescharacteristic
94#16837324C2211yescharacteristic
95#16837324C2211yescharacteristic
96#16837324C2211yescharacteristic, complemented
97#16837324C2211yescharacteristic, complemented
98#16837324C2211yescharacteristic, complemented
99#16837324C2211yescharacteristic, complemented
100#16837323C2211yescharacteristic, complemented
101#16837323C2211yescharacteristic, complemented
102#16837323C2211yescharacteristic, complemented
103#16837323C2211yescharacteristic, complemented
104#16837322C2211yescharacteristic, complemented
105#16837321C2211yescharacteristic, complemented
106#16837320C2211yescharacteristic
107#16837320C2211yescharacteristic
108#16837318C2211yescharacteristic
109#16837318C2211yescharacteristic
110#16837318C2211yescharacteristic, complemented
111#16837317C2211yescharacteristic
112#16837317C2211yescharacteristic
113#16837317C2211yescharacteristic, complemented
114#16837315C2211yescharacteristic, complemented
115#16837315C2211yescharacteristic, complemented
116#16837314C2211yescharacteristic, complemented
117#16837308C2211yescharacteristic, complemented
118#16837306C2211yescharacteristic, complemented
119#16837306C2211yescharacteristic, complemented
120#16837305C2211yescharacteristic
121#16837304C2211yescharacteristic
122#16837302C2211yescharacteristic
123#16837302C2211yescharacteristic
124#16837301C2211yescharacteristic, complemented
125#16837300C2211yescharacteristic, complemented
126#16837300C2211yescharacteristic, complemented
127#16837299C2211yescharacteristic, complemented
128#16837299C2211yescharacteristic, complemented
129#16837299C2211yescharacteristic, complemented
130#16837298C2211yescharacteristic, complemented
131#16837298C2211yescharacteristic, complemented
132#16837297C2211yescharacteristic, complemented
133#16837297C2211yescharacteristic, complemented
134#16837297C2211yescharacteristic, complemented
135#16837296C2211yescharacteristic, complemented
136#16837295C2211yescharacteristic
137#16837295C2211yescharacteristic
138#16837294C2211yescharacteristic
139#16837294C2211yescharacteristic, complemented
140#16837293C2211yescharacteristic
141#16837292C2211yescharacteristic
142#16837291C2211yescharacteristic
143#16837291C2211yescharacteristic, complemented
144#16837282C2211yescharacteristic
145#16837281C2211yescharacteristic
146#16837280C2211yescharacteristic
147#16837280C2211yescharacteristic
148#16837280C2211yescharacteristic
149#16837280C2211yescharacteristic
150#16837279C2211yescharacteristic
151#16837278C2211yescharacteristic
152#16837278C2211yescharacteristic
153#16837278C2211yescharacteristic
154#16837278C2211yescharacteristic
155#16837277C2211yescharacteristic
156#16837277C2211yescharacteristic
157#16837276C2211yescharacteristic
158#16837276C2211yescharacteristic
159#16837276C2211yescharacteristic
160#16837276C2211yescharacteristic
161#16837276C2211yescharacteristic
162#16837276C2211yescharacteristic
163#16837264C2211yescharacteristic
164#16837264C2211yescharacteristic
165#16837261C2211yescharacteristic
166#16837261C2211yescharacteristic
167#16837261C2211yescharacteristic
168#16837260C2211yescharacteristic
169#16837259C2211yescharacteristic
170#16837259C2211yescharacteristic
171#16837259C2211yescharacteristic
172#16837257C2211yescharacteristic
173#16837257C2211yescharacteristic
174C2×#126×C59C2211yescharacteristic, complemented
175C2×C22⋊Q8×C59C2211yescharacteristic
176C59×#400C2211yescharacteristic, complemented
177C59×#398C2211yescharacteristic, complemented
178C59×#396C2211yescharacteristic, complemented
179C59×#394C2211yescharacteristic
180C59×#394C2211yescharacteristic
181C59×#393C2211yescharacteristic, complemented
182C59×#391C2211yescharacteristic, complemented
183C59×#389C2211yescharacteristic, complemented
184C59×#388C2211yescharacteristic
185C59×#388C2211yescharacteristic
186C59×#388C2211yescharacteristic, complemented
187C59×#386C2211yescharacteristic
188C59×#380C2211yescharacteristic
189C24×D59C2311yescharacteristic
190C22×Dic118C2311yescharacteristic
191C22×Dic118C2311yescharacteristic
192C22×Dic118C2311yescharacteristic
193C22×Dic118C2311yescharacteristic
194C2×Q8×D59—24no—
195C2×Q8×D59—42no—
196C2×Q8×D59—42no—
197C22×D236C2311yescharacteristic
198C22×D236C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C23×Dic59C2311yescharacteristic
204C23×Dic59C2311yescharacteristic
205C22×C4×D59—24no—
206C22×C4×D59—42no—
207C22×C4×D59—42no—
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215C22×C4×D59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217#14273722—24no—
218#14273719—24no—
219#14273718—24no—
220#14273712—24no—
221#14273712—42no—
222#14273711—24no—
223#14273709—24no—
224#14273709—24no—
225#14273709—42no—
226#14273707—24no—
227#14273707—24no—
228#14273707—42no—
229#14273707—42no—
230#14273706—24no—
231#14273706—42no—
232#14273705—24no—
233#14273705—24no—
234#14273705—24no—
235#14273704—24no—
236#14273704—24no—
237#14273704—24no—
238#14273704—42no—
239#14273704—42no—
240#14273703—24no—
241#14273703—42no—
242#14273700—24no—
243#14273700—42no—
244#14273699—42no—
245#14273697—42no—
246#14273695—42no—
247C4×D236—24no—
248(C22⋊D59)⋊C4—24no—
249#14273685—42no—
250#14273684—42no—
251C2×C4⋊Dic59C2311yescharacteristic
252C2×C4⋊Dic59C2311yescharacteristic
253C2×C4⋊Dic59C2311yescharacteristic
254C2×C4⋊Dic59C2311yescharacteristic
255C2×C4⋊Dic59C2311yescharacteristic
256C2×C4⋊Dic59C2311yescharacteristic
257C2×C4⋊Dic59C2311yescharacteristic
258C2×C4⋊Dic59C2311yescharacteristic
259C2×C4⋊Dic59C2311yescharacteristic
260C2×C4⋊Dic59C2311yescharacteristic
261C2×C4⋊Dic59C2311yescharacteristic
262C2×C4⋊Dic59C2311yescharacteristic
263C2×C4⋊Dic59C2311yescharacteristic
264C2×C4⋊Dic59C2311yescharacteristic
265C2×C4⋊Dic59C2311yescharacteristic
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×Dic59⋊C4C2311yescharacteristic
277C2×Dic59⋊C4C2311yescharacteristic
278C2×Dic59⋊C4C2311yescharacteristic
279C2×Dic59⋊C4C2311yescharacteristic
280C2×Dic59⋊C4C2311yescharacteristic
281C2×Dic59⋊C4C2311yescharacteristic
282C2×Dic59⋊C4C2311yescharacteristic
283C2×Dic59⋊C4C2311yescharacteristic
284C2×Dic59⋊C4C2311yescharacteristic
285C2×Dic59⋊C4C2311yescharacteristic
286C2×Dic59⋊C4C2311yescharacteristic
287C2×Dic59⋊C4C2311yescharacteristic
288C4⋊C4×D59—24no—
289C4⋊C4×D59—24no—
290C4⋊C4×D59D418yescomplemented
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×(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×(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×(C2×D59)⋊C4C2311yescharacteristic
319C2×(C2×D59)⋊C4C2311yescharacteristic
320C2×(C2×D59)⋊C4C2311yescharacteristic
321C2×(C2×D59)⋊C4C2311yescharacteristic
322C2×(C2×D59)⋊C4C2311yescharacteristic
323C2×(C2×D59)⋊C4C2311yescharacteristic
324C2×(C2×D59)⋊C4C2311yescharacteristic
325C2×(C2×D59)⋊C4C2311yescharacteristic
326C22⋊C4×D59—24no—
327C22⋊C4×D59—24no—
328C2×C4×Dic59C2311yescharacteristic
329C2×C4×Dic59C2311yescharacteristic
330C2×C4×Dic59C2311yescharacteristic
331C2×C4×Dic59C2311yescharacteristic
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
348C59⋊#95C2311yescharacteristic
349C59⋊#95C2311yescharacteristic
350C59⋊#95C2311yescharacteristic
351C59⋊#95C2311yescharacteristic
352C59⋊#95C2311yescharacteristic
353C59⋊#95C2311yescharacteristic
354C22×Q8×C59C2311yescharacteristic
355C22×D4×C59C2311yescharacteristic
356C23×C4×C59C2311yescharacteristic
357#126×C59—24no—
358C22⋊Q8×C59—24no—
359C2×C4⋊C4×C59C2311yescharacteristic
360C2×C4⋊C4×C59C2311yescharacteristic
361C2×C4⋊C4×C59C2311yescharacteristic
362C2×C4⋊C4×C59C2311yescharacteristic
363C2×C4⋊C4×C59C2311yescharacteristic
364C2×C4⋊C4×C59C2311yescharacteristic
365C2×C4⋊C4×C59C2311yescharacteristic
366C2×C4⋊C4×C59C2311yescharacteristic
367C2×C4⋊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
377C2×C22⋊C4×C59C2311yescharacteristic
378C2×C22⋊C4×C59C2311yescharacteristic
379C2×C42×C59C2311yescharacteristic
380C2×C42×C59C2311yescharacteristic
381#95×C59C2311yescharacteristic
382#95×C59C2311yescharacteristic
383#95×C59C2311yescharacteristic
384#95×C59C2311yescharacteristic
385#95×C59C2311yescharacteristic
386#95×C59C2311yescharacteristic
387#95×C59C2311yescharacteristic
388#95×C59C2311yescharacteristic
389#95×C59C2311yescharacteristic
390#95×C59C2311yescharacteristic
391C24×C59C2411yescharacteristic
392C24×C59C2411yescharacteristic
393C23×D59—22no—
394C23×D59—22no—
395C23×D59—22no—
396C23×D59—22no—
397C23×D59—22no—
398C23×D59—41no—
399C23×D59—41no—
400C23×D59C2411yescharacteristic
401C23×D59C2411yescharacteristic
402C23×D59C2411yescharacteristic
403C2×Q8×C59—22no—
404C2×Q8×C59—22no—
405C2×Q8×C59—41no—
406C2×D4×C59—22no—
407C2×D4×C59—41no—
408C2×D4×C59—41no—
409C22×C4×C59—22no—
410C22×C4×C59—22no—
411C22×C4×C59—41no—
412C22×C4×C59C2411yescharacteristic
413C22×C4×C59C2411yescharacteristic
414C22×C4×C59C2411yescharacteristic
415C22×C4×C59C2411yescharacteristic
416C22×C4×C59C2411yescharacteristic
417C22×C4×C59C2411yescharacteristic
418C22×C4×C59C2411yescharacteristic
419C22×C4×C59C2411yescharacteristic
420C22×C4×C59C2411yescharacteristic
421C22×C4×C59C2411yescharacteristic
422C22×C4×C59C2411yescharacteristic
423C22×C4×C59C2411yescharacteristic
424C22×C4×C59C2411yescharacteristic
425C2×C22⋊D59—22no—
426C2×C22⋊D59—22no—
427C2×C22⋊D59—22no—
428C2×C22⋊D59—22no—
429C2×C22⋊D59—22no—
430C2×C22⋊D59—22no—
431C2×C22⋊D59—41no—
432C2×C22⋊D59—41no—
433C2×C22⋊D59—41no—
434C2×C22⋊D59—41no—
435C2×C22⋊D59—41no—
436C2×C22⋊D59—41no—
437C22×Dic59—22no—
438C22×Dic59—22no—
439C22×Dic59—22no—
440C22×Dic59—41no—
441C22×Dic59—41no—
442C22×Dic59—41no—
443C22×Dic59C2411yescharacteristic
444C22×Dic59C2411yescharacteristic
445C22×Dic59C2411yescharacteristic
446C22×Dic59C2411yescharacteristic
447C22×Dic59C2411yescharacteristic
448C22×Dic59C2411yescharacteristic
449C22×Dic59C2411yescharacteristic
450C22×Dic59C2411yescharacteristic
451C22×Dic59C2411yescharacteristic
452C22×Dic59C2411yescharacteristic
453C22×Dic59C2411yescharacteristic
454C22×Dic59C2411yescharacteristic
455C22×Dic59C2411yescharacteristic
456Q8×D59—416no—
457C2×D236—22no—
458C2×D236—22no—
459C2×D236—22no—
460C2×D236—22no—
461C2×D236—41no—
462C2×D236—41no—
463C2×C4×D59—22no—
464C2×C4×D59—22no—
465C2×C4×D59—22no—
466C2×C4×D59—22no—
467C2×C4×D59—22no—
468C2×C4×D59—22no—
469C2×C4×D59—22no—
470C2×C4×D59—22no—
471C2×C4×D59—22no—
472C2×C4×D59—22no—
473C2×C4×D59—22no—
474C2×C4×D59—22no—
475C2×C4×D59—22no—
476C2×C4×D59—22no—
477C2×C4×D59—416no—
478C2×C4×D59—41no—
479C2×C4×D59—41no—
480C2×C4×D59—41no—
481C2×C4×D59—41no—
482C2×C4×D59—41no—
483C2×C4×D59—41no—
484C2×C4×D59—41no—
485C2×C4×D59—41no—
486C2×C4×D59—41no—
487C2×C4×D59—41no—
488C2×C4×D59C2×D414yes—
489C2×C4×D59C2×D414yes—
490C2×C4×D59C2×D414yes—
491C2×Dic118—22no—
492C2×Dic118—22no—
493C2×Dic118—22no—
494C2×Dic118—22no—
495C2×Dic118—22no—
496C2×Dic118—22no—
497C2×Dic118—22no—
498C2×Dic118—41no—
499C2×Dic118—41no—
500C2×Dic118—41no—
501C2×Dic118—41no—
502C2×Dic118—41no—
503C4⋊C4×C59—22no—
504C4⋊C4×C59—22no—
505C4⋊C4×C59—22no—
506C4⋊C4×C59—22no—
507C4⋊C4×C59—41no—
508C4⋊C4×C59—41no—
509C4⋊C4×C59—41no—
510C4⋊C4×C59—41no—
511C4⋊C4×C59C2×D414yes—
512C22⋊C4×C59—22no—
513C22⋊C4×C59—22no—
514C22⋊C4×C59—22no—
515C22⋊C4×C59—22no—
516C22⋊C4×C59—22no—
517C22⋊C4×C59—22no—
518C22⋊C4×C59—22no—
519C22⋊C4×C59—22no—
520C22⋊C4×C59—41no—
521C22⋊C4×C59—41no—
522C22⋊C4×C59—41no—
523C42×C59—22no—
524C42×C59—41no—
525C22⋊Dic59—22no—
526C22⋊Dic59—22no—
527C22⋊Dic59—22no—
528C22⋊Dic59—22no—
529C22⋊Dic59—41no—
530C22⋊Dic59—41no—
531C22⋊Dic59—41no—
532C22⋊Dic59—41no—
533C22⋊Dic59—41no—
534(C2×D59)⋊C4—22no—
535(C2×D59)⋊C4—22no—
536(C2×D59)⋊C4—22no—
537(C2×D59)⋊C4—22no—
538(C2×D59)⋊C4—22no—
539(C2×D59)⋊C4—22no—
540(C2×D59)⋊C4—22no—
541(C2×D59)⋊C4—22no—
542(C2×D59)⋊C4—22no—
543(C2×D59)⋊C4—22no—
544(C2×D59)⋊C4—22no—
545(C2×D59)⋊C4—22no—
546(C2×D59)⋊C4—22no—
547(C2×D59)⋊C4—22no—
548(C2×D59)⋊C4—22no—
549(C2×D59)⋊C4—22no—
550(C2×D59)⋊C4—22no—
551(C2×D59)⋊C4—22no—
552(C2×D59)⋊C4—41no—
553(C2×D59)⋊C4—41no—
554(C2×D59)⋊C4—41no—
555(C2×D59)⋊C4—41no—
556(C2×D59)⋊C4—41no—
557(C2×D59)⋊C4—41no—
558(C2×D59)⋊C4—41no—
559(C2×D59)⋊C4—41no—
560C4⋊Dic59—22no—
561C4⋊Dic59—22no—
562C4⋊Dic59—22no—
563C4⋊Dic59—22no—
564C4⋊Dic59—22no—
565C4⋊Dic59—22no—
566C4⋊Dic59—22no—
567C4⋊Dic59—22no—
568C4⋊Dic59—41no—
569C4⋊Dic59—41no—
570C4⋊Dic59—41no—
571C4⋊Dic59—41no—
572C4⋊Dic59—41no—
573C4⋊Dic59—41no—
574C4⋊Dic59C2×D414yes—
575Dic59⋊C4—22no—
576Dic59⋊C4—22no—
577Dic59⋊C4—22no—
578Dic59⋊C4—22no—
579Dic59⋊C4—22no—
580Dic59⋊C4—22no—
581Dic59⋊C4—22no—
582Dic59⋊C4—22no—
583Dic59⋊C4—22no—
584Dic59⋊C4—22no—
585Dic59⋊C4—41no—
586Dic59⋊C4—41no—
587Dic59⋊C4—41no—
588Dic59⋊C4—41no—
589Dic59⋊C4—41no—
590Dic59⋊C4—41no—
591Dic59⋊C4—41no—
592Dic59⋊C4—41no—
593Dic59⋊C4—41no—
594Dic59⋊C4—41no—
595Dic59⋊C4C2×D414yes—
596Dic59⋊C4C2×D414yes—
597C4×Dic59—22no—
598C4×Dic59—41no—
599C4×Dic59—41no—
600C4×Dic59—41no—
601C23×C59—21no—
602C23×C59—21no—
603C23×C59—21no—
604C23×C59—21no—
605C23×C59—21no—
606C23×C59—21no—
607C23×C59—21no—
608C23×C59—21no—
609C23×C59—21no—
610C23×C59—21no—
611C23×C59—21no—
612C23×C59—21no—
613C23×C59—21no—
614C23×C592−1+412yes—
615C23×C59C2511yescharacteristic
616C22×D59—21no—
617C22×D59—21no—
618C22×D59—21no—
619C22×D59—21no—
620C22×D59—28no—
621C22×D59—21no—
622C22×D59—21no—
623C22×D59—21no—
624C22×D59—21no—
625C22×D59—21no—
626C22×D59—21no—
627C22×D59—21no—
628C22×D59—21no—
629C22×D59—21no—
630C22×D59—21no—
631C22×D59—21no—
632C22×D59—21no—
633C22×D59—21no—
634C22×D59—44no—
635C22×D59—44no—
636C22×D59—44no—
637C22×D59—44no—
638C22×D59—44no—
639C22×D59—44no—
640C22×D59C22×D412yes—
641C22×D59H(5,𝔽2)12yes—
642C22×D592−1+412yes—
643C22×D592−1+412yes—
644Q8×C59—44no—
645D4×C59—82no—
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—21no—
664C2×C4×C59—21no—
665C2×C4×C59—21no—
666C2×C4×C59—21no—
667C2×C4×C59—21no—
668C2×C4×C59—21no—
669C2×C4×C59—21no—
670C2×C4×C59—21no—
671C2×C4×C59—21no—
672C2×C4×C59—21no—
673C2×C4×C59—21no—
674C2×C4×C59—21no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—21no—
679C2×C4×C59—21no—
680C2×C4×C59—21no—
681C2×C4×C59—44no—
682C2×C4×C59C22×D412yes—
683C2×C4×C59C22×D412yes—
684C2×C4×C59C22×D412yes—
685C2×C4×C59H(5,𝔽2)12yes—
686C22⋊D59—44no—
687C22⋊D59—82no—
688C22⋊D59—82no—
689C22⋊D59—82no—
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—21no—
713C2×Dic59—21no—
714C2×Dic59—21no—
715C2×Dic59—21no—
716C2×Dic59—21no—
717C2×Dic59—21no—
718C2×Dic59—21no—
719C2×Dic59—21no—
720C2×Dic59—21no—
721C2×Dic59—21no—
722C2×Dic59—21no—
723C2×Dic59—21no—
724C2×Dic59—21no—
725C2×Dic59—44no—
726C2×Dic59—82no—
727C2×Dic59C22×D412yes—
728C2×Dic59C22×D412yes—
729C2×Dic59C22×D412yes—
730C2×Dic59H(5,𝔽2)12yes—
731D236—44no—
732D236—82no—
733C4×D59—28no—
734C4×D59—28no—
735C4×D59—44no—
736C4×D59—44no—
737C4×D59—44no—
738C4×D59—44no—
739C4×D59—44no—
740C4×D59—44no—
741C4×D59—82no—
742Dic118—44no—
743Dic118—44no—
744Dic118—44no—
745Dic118—82no—
746#36719—591nomaximal, Sylow
747C22×C59—22no—
748C22×C59—22no—
749C22×C59—22no—
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—41no—
759C22×C59—41no—
760C22×C59—41no—
761C22×C59C23×D411yescharacteristic
762C22×C59C2×H(5,𝔽2)11yescharacteristic
763C22×C59C2×H(5,𝔽2)11yescharacteristic
764C22×C59C2×H(5,𝔽2)11yescharacteristic
765C22×C59C2×2−1+411yescharacteristic
766C22×C59C2×2−1+411yescharacteristic
767C22×C59C2×2−1+411yescharacteristic
768C2×D59—22no—
769C2×D59—22no—
770C2×D59—22no—
771C2×D59—22no—
772C2×D59—22no—
773C2×D59—22no—
774C2×D59—22no—
775C2×D59—22no—
776C2×D59—22no—
777C2×D59—416no—
778C2×D59—41no—
779C2×D59—41no—
780C2×D59—41no—
781C2×D59—41no—
782C2×D59—41no—
783C2×D59—41no—
784C2×D59—41no—
785C2×D59—41no—
786C2×D59—41no—
787C2×D59—41no—
788C2×D59—41no—
789C2×D59#53714yes—
790C4×C59—22no—
791C4×C59—22no—
792C4×C59—22no—
793C4×C59—22no—
794C4×C59—41no—
795C4×C59—41no—
796C4×C59—41no—
797C4×C59—41no—
798C4×C59—41no—
799C4×C59—41no—
800C4×C59—41no—
801C4×C59—41no—
802C4×C59—41no—
803Dic59—22no—
804Dic59—22no—
805Dic59—22no—
806Dic59—22no—
807Dic59—41no—
808Dic59—41no—
809Dic59—41no—
810Dic59—41no—
811Dic59—41no—
812Dic59—41no—
813Dic59—41no—
814Dic59—41no—
815Dic59—41no—
816C2×#539—591no—
817C22×C22⋊Q8—591no—
818#2848—591no—
819#2847—591no—
820#2704—591no—
821#2704—591no—
822#2704—591no—
823#2704—591no—
824#2702—591no—
825#2702—591no—
826#2702—591no—
827#2702D5911yescharacteristic, complemented
828#2683—591no—
829#2683—591no—
830#2683—591no—
831#2683—591no—
832#2681—591no—
833#2681—591no—
834#2681—591no—
835#2681—591no—
836#2627—591no—
837#2618—591no—
838#2534—591no—
839#2534—591no—
840#2413—591no—
841#2413—591no—
842#2411—591no—
843#2411—591no—
844#2409—591no—
845#2409—591no—
846#2316—591no—
847C2×C59—42no—
848C2×C59—81no—
849C2×C59C2×#53711yescharacteristic
850C2×C59#348411yescharacteristic
851C2×C59#348611yescharacteristic
852C2×C59#353611yescharacteristic
853C2×C59#353611yescharacteristic
854C2×C59#353811yescharacteristic
855C2×C59#353811yescharacteristic
856D59—24no—
857D59—42no—
858D59—81no—
859C23×Q8—591no—
860C24×C4—591no—
861#539—1188no—
862C2×#126—591no—
863C2×#126C2×D5911yescharacteristic, complemented
864C2×#125—591no—
865C2×#125—591no—
866C2×#123—591no—
867C2×#123—591no—
868C2×#123—591no—
869C2×#123—591no—
870C2×#123—591no—
871C2×#123—591no—
872C2×C22⋊Q8—591no—
873C2×C22⋊Q8—591no—
874C2×C22⋊Q8—591no—
875C2×C22⋊Q8—591no—
876C2×C22⋊Q8—591no—
877C2×C22⋊Q8—591no—
878C2×C22⋊Q8—591no—
879C2×C22⋊Q8—591no—
880C2×C22⋊Q8—591no—
881C2×C22⋊Q8—591no—
882C2×C22⋊Q8—591no—
883C2×C22⋊Q8—591no—
884C2×C22⋊Q8—591no—
885C2×C22⋊Q8—591no—
886C2×C22⋊Q8—591no—
887C2×C22⋊Q8—591no—
888C2×C22⋊Q8—1188no—
889C2×C22⋊Q8C2×D5911yescharacteristic
890C2×#121—591no—
891C2×#121—591no—
892C2×#121—591no—
893C2×#120—591no—
894C2×#120—591no—
895C2×C4×D4—591no—
896C2×C4×D4—591no—
897C2×#117—591no—
898C2×#117—591no—
899C22×C4⋊C4—591no—
900C22×C4⋊C4—591no—
901C22×C4⋊C4—591no—
902C22×C22⋊C4—591no—
903C22×C22⋊C4—591no—
904#400—591no—
905#400C2×D5911yescharacteristic, complemented
906#398—591no—
907#398—591no—
908#398—591no—
909#398—591no—
910#398—591no—
911#398—591no—
912#398—591no—
913#398—591no—
914#398—591no—
915#398C2×D5911yescharacteristic, complemented
916#396—591no—
917#396—591no—
918#396—591no—
919#396—591no—
920#396—591no—
921#396—591no—
922#396—591no—
923#396—591no—
924#396—591no—
925#396—591no—
926#396—591no—
927#396—591no—
928#396—591no—
929#396—591no—
930#396—591no—
931#396C2×D5911yescharacteristic, complemented
932#395—591no—
933#395—591no—
934#395—591no—
935#395—591no—
936#395—591no—
937#395—591no—
938#394—591no—
939#394—591no—
940#394—591no—
941#394—591no—
942#394—591no—
943#394—591no—
944#394—591no—
945#394—591no—
946#394C2×D5911yescharacteristic
947#394C2×D5911yescharacteristic
948#393—591no—
949#393—591no—
950#393—591no—
951#393C2×D5911yescharacteristic, complemented
952#391—591no—
953#391—591no—
954#391—591no—
955#391C2×D5911yescharacteristic, complemented
956#390—591no—
957#390—591no—
958#390—591no—
959#390—591no—
960#389—591no—
961#389—591no—
962#389—591no—
963#389—591no—
964#389—591no—
965#389—591no—
966#389—591no—
967#389—591no—
968#389—591no—
969#389—591no—
970#389—591no—
971#389C2×D5911yescharacteristic, complemented
972#388—591no—
973#388—591no—
974#388—591no—
975#388—591no—
976#388—591no—
977#388—591no—
978#388—591no—
979#388—591no—
980#388—591no—
981#388C2×D5911yescharacteristic
982#388C2×D5911yescharacteristic
983#388C2×D5911yescharacteristic, complemented
984#386—591no—
985#386—591no—
986#386—591no—
987#386—591no—
988#386—591no—
989#386—591no—
990#386—591no—
991#386—591no—
992#386—591no—
993#386—591no—
994#386—591no—
995#386C2×D5911yescharacteristic
996#385—591no—
997#385—591no—
998#385—591no—
999#385—591no—
1000#385—591no—
1001#385—591no—
1002#385—591no—
1003#385—591no—
1004#381—591no—
1005#381—591no—
1006#380—591no—
1007#380—591no—
1008#380—591no—
1009#380—591no—
1010#380—591no—
1011#380—591no—
1012#380—591no—
1013#380C2×D5911yescharacteristic
1014#379—591no—
1015#379—591no—
1016C59#3671911yescharacteristic, complemented, Sylow
1017C25—591no—
1018C22×Q8—591no—
1019C22×Q8—591no—
1020C22×Q8—591no—
1021C22×Q8—591no—
1022C22×Q8—1184no—
1023C22×Q8—2362no—
1024C22×Q8—2362no—
1025C22×Q8C22×D5911yescharacteristic
1026C22×D4—591no—
1027C22×D4—591no—
1028C22×D4—591no—
1029C22×D4—591no—
1030C22×D4—591no—
1031C22×D4—591no—
1032C22×D4C22×D5911yescharacteristic
1033C23×C4—591no—
1034C23×C4—591no—
1035C23×C4—591no—
1036C23×C4—591no—
1037C23×C4—591no—
1038C23×C4—591no—
1039C23×C4—591no—
1040C23×C4—591no—
1041C23×C4—591no—
1042C23×C4—591no—
1043C23×C4—591no—
1044C23×C4—1184no—
1045C23×C4—2362no—
1046C23×C4—2362no—
1047C23×C4C22×D5911yescharacteristic
1048#126—24no—
1049#126—1184no—
1050#125—1184no—
1051#125—1184no—
1052#123—1184no—
1053#123—1184no—
1054#123—1184no—
1055#123—1184no—
1056#123—2362no—
1057#123—2362no—
1058C22⋊Q8—24no—
1059C22⋊Q8—1184no—
1060C22⋊Q8—1184no—
1061C22⋊Q8—1184no—
1062C22⋊Q8—1184no—
1063C22⋊Q8—1184no—
1064C22⋊Q8—1184no—
1065C22⋊Q8—1184no—
1066C22⋊Q8—1184no—
1067C22⋊Q8—1184no—
1068C22⋊Q8—1184no—
1069C22⋊Q8—2362no—
1070C22⋊Q8—2362no—
1071C22⋊Q8—2362no—
1072C22⋊Q8—2362no—
1073C22⋊Q8—2362no—
1074C22⋊Q8—2362no—
1075#121—1184no—
1076#121—2362no—
1077#121—2362no—
1078#120—2362no—
1079#120—2362no—
1080C4×D4—1184no—
1081C4×D4—1184no—
1082#117—2362no—
1083#117—2362no—
1084C2×C4⋊C4—591no—
1085C2×C4⋊C4—591no—
1086C2×C4⋊C4—591no—
1087C2×C4⋊C4—598no—
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—591no—
1095C2×C4⋊C4—591no—
1096C2×C4⋊C4—591no—
1097C2×C4⋊C4—591no—
1098C2×C4⋊C4—591no—
1099C2×C4⋊C4—591no—
1100C2×C4⋊C4—591no—
1101C2×C4⋊C4—591no—
1102C2×C4⋊C4—591no—
1103C2×C4⋊C4—591no—
1104C2×C4⋊C4—591no—
1105C2×C4⋊C4—591no—
1106C2×C4⋊C4—591no—
1107C2×C4⋊C4—591no—
1108C2×C4⋊C4—591no—
1109C2×C4⋊C4—591no—
1110C2×C4⋊C4—591no—
1111C2×C4⋊C4—591no—
1112C2×C4⋊C4—591no—
1113C2×C4⋊C4—591no—
1114C2×C4⋊C4—591no—
1115C2×C4⋊C4—591no—
1116C2×C4⋊C4—591no—
1117C2×C4⋊C4—591no—
1118C2×C4⋊C4—591no—
1119C2×C4⋊C4—591no—
1120C2×C4⋊C4—591no—
1121C2×C4⋊C4—591no—
1122C2×C4⋊C4—1184no—
1123C2×C4⋊C4—1184no—
1124C2×C4⋊C4C22×D5911yescharacteristic
1125C2×C4⋊C4C22×D5911yescharacteristic
1126C2×C4⋊C4C22×D5911yescharacteristic
1127C2×C4⋊C4C22×D5911yescharacteristic
1128C2×C4⋊C4C22×D5911yescharacteristic
1129C2×C4⋊C4C22×D5911yescharacteristic
1130C2×C4⋊C4C22×D5911yescharacteristic
1131C2×C4⋊C4C22×D5911yescharacteristic
1132C2×C4⋊C4C22×D5911yescharacteristic
1133C2×C22⋊C4—591no—
1134C2×C22⋊C4—591no—
1135C2×C22⋊C4—591no—
1136C2×C22⋊C4—591no—
1137C2×C22⋊C4—591no—
1138C2×C22⋊C4—591no—
1139C2×C22⋊C4—591no—
1140C2×C22⋊C4—591no—
1141C2×C22⋊C4—591no—
1142C2×C22⋊C4—591no—
1143C2×C22⋊C4—591no—
1144C2×C22⋊C4—591no—
1145C2×C22⋊C4—591no—
1146C2×C22⋊C4—591no—
1147C2×C22⋊C4—591no—
1148C2×C22⋊C4—591no—
1149C2×C22⋊C4—591no—
1150C2×C22⋊C4—591no—
1151C2×C22⋊C4—591no—
1152C2×C22⋊C4—591no—
1153C2×C22⋊C4—591no—
1154C2×C22⋊C4—591no—
1155C2×C22⋊C4—591no—
1156C2×C22⋊C4—591no—
1157C2×C22⋊C4—591no—
1158C2×C22⋊C4—591no—
1159C2×C22⋊C4—591no—
1160C2×C22⋊C4—591no—
1161C2×C22⋊C4—591no—
1162C2×C22⋊C4—591no—
1163C2×C22⋊C4—591no—
1164C2×C22⋊C4—591no—
1165C2×C22⋊C4—591no—
1166C2×C22⋊C4—591no—
1167C2×C22⋊C4—591no—
1168C2×C22⋊C4—1184no—
1169C2×C22⋊C4—1184no—
1170C2×C22⋊C4C22×D5911yescharacteristic
1171C2×C22⋊C4C22×D5911yescharacteristic
1172C2×C22⋊C4C22×D5911yescharacteristic
1173C2×C22⋊C4C22×D5911yescharacteristic
1174C2×C22⋊C4C22×D5911yescharacteristic
1175C2×C22⋊C4C22×D5911yescharacteristic
1176C2×C22⋊C4C22×D5911yescharacteristic
1177C2×C22⋊C4C22×D5911yescharacteristic
1178C2×C22⋊C4C22×D5911yescharacteristic
1179C2×C22⋊C4C22×D5911yescharacteristic
1180C2×C22⋊C4C22×D5911yescharacteristic
1181C2×C42—591no—
1182C2×C42—591no—
1183C2×C42—591no—
1184C2×C42—591no—
1185C2×C42C22×D5911yescharacteristic
1186C2×C42C22×D5911yescharacteristic
1187#95—591no—
1188#95—591no—
1189#95—591no—
1190#95—591no—
1191#95—591no—
1192#95—591no—
1193#95—591no—
1194#95—591no—
1195#95—591no—
1196#95—591no—
1197#95—591no—
1198#95—591no—
1199#95—591no—
1200#95—591no—
1201#95—591no—
1202#95—591no—
1203#95—591no—
1204#95—591no—
1205#95—591no—
1206#95—591no—
1207#95—591no—
1208#95—591no—
1209#95C22×D5911yescharacteristic
1210#95C22×D5911yescharacteristic
1211#95C22×D5911yescharacteristic
1212#95C22×D5911yescharacteristic
1213#95C22×D5911yescharacteristic
1214#95C22×D5911yescharacteristic
1215#95C22×D5911yescharacteristic
1216#95C22×D5911yescharacteristic
1217#95C22×D5911yescharacteristic
1218#95C22×D5911yescharacteristic
1219C24—591no—
1220C24—591no—
1221C24—591no—
1222C24—1182no—
1223C24—1182no—
1224C24—1182no—
1225C24—1182no—
1226C24—1182no—
1227C24—2361no—
1228C24—2361no—
1229C24C23×D5911yescharacteristic
1230C24C23×D5911yescharacteristic
1231C2×Q8—22no—
1232C2×Q8—22no—
1233C2×Q8—41no—
1234C2×Q8—1182no—
1235C2×Q8—1182no—
1236C2×Q8—1182no—
1237C2×Q8—1182no—
1238C2×Q8—1182no—
1239C2×Q8—1182no—
1240C2×Q8—1182no—
1241C2×Q8—2361no—
1242C2×Q8—2361no—
1243C2×Q8—2361no—
1244C2×Q8—2361no—
1245C2×Q8—2361no—
1246C2×Q8—23616no—
1247C2×D4—22no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—1182no—
1251C2×D4—1182no—
1252C2×D4—1182no—
1253C2×D4—1182no—
1254C2×D4—1182no—
1255C2×D4—1182no—
1256C2×D4—1182no—
1257C2×D4—1182no—
1258C2×D4—1182no—
1259C2×D4—1182no—
1260C2×D4—2361no—
1261C2×D4—2361no—
1262C2×D4—2361no—
1263C2×D4—2361no—
1264C2×D4—2361no—
1265C2×D4—2361no—
1266C2×D4—2361no—
1267C2×D4—2361no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—41no—
1271C22×C4—591no—
1272C22×C4—591no—
1273C22×C4—591no—
1274C22×C4—591no—
1275C22×C4—594no—
1276C22×C4—594no—
1277C22×C4—594no—
1278C22×C4—591no—
1279C22×C4—591no—
1280C22×C4—591no—
1281C22×C4—591no—
1282C22×C4—591no—
1283C22×C4—591no—
1284C22×C4—591no—
1285C22×C4—591no—
1286C22×C4—591no—
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—2361no—
1305C22×C4—2361no—
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—23616no—
1315C22×C4—2361no—
1316C22×C4—2361no—
1317C22×C4—2361no—
1318C22×C4C23×D5911yescharacteristic
1319C22×C4C23×D5911yescharacteristic
1320C22×C4C23×D5911yescharacteristic
1321C22×C4C23×D5911yescharacteristic
1322C22×C4C23×D5911yescharacteristic
1323C22×C4C23×D5911yescharacteristic
1324C22×C4C23×D5911yescharacteristic
1325C22×C4C23×D5911yescharacteristic
1326C22×C4C23×D5911yescharacteristic
1327C22×C4C23×D5911yescharacteristic
1328C22×C4C23×D5911yescharacteristic
1329C22×C4C23×D5911yescharacteristic
1330C22×C4C23×D5911yescharacteristic
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—41no—
1336C4⋊C4—41no—
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—594no—
1340C4⋊C4—594no—
1341C4⋊C4—594no—
1342C4⋊C4—1182no—
1343C4⋊C4—1182no—
1344C4⋊C4—1182no—
1345C4⋊C4—1182no—
1346C4⋊C4—1182no—
1347C4⋊C4—1182no—
1348C4⋊C4—1182no—
1349C4⋊C4—1182no—
1350C4⋊C4—1182no—
1351C4⋊C4—1182no—
1352C4⋊C4—1182no—
1353C4⋊C4—1182no—
1354C4⋊C4—1182no—
1355C4⋊C4—1182no—
1356C4⋊C4—1182no—
1357C4⋊C4—1182no—
1358C4⋊C4—1182no—
1359C4⋊C4—1182no—
1360C4⋊C4—2361no—
1361C4⋊C4—2361no—
1362C4⋊C4—2361no—
1363C4⋊C4—2361no—
1364C4⋊C4—2361no—
1365C4⋊C4—2361no—
1366C4⋊C4—2361no—
1367C4⋊C4—2361no—
1368C4⋊C4—2361no—
1369C4⋊C4—2361no—
1370C4⋊C4—2361no—
1371C4⋊C4—2361no—
1372C4⋊C4—2361no—
1373C4⋊C4—2361no—
1374C4⋊C4—2361no—
1375C4⋊C4—2361no—
1376C4⋊C4D4×D5914yes—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—1182no—
1389C22⋊C4—1182no—
1390C22⋊C4—1182no—
1391C22⋊C4—1182no—
1392C22⋊C4—1182no—
1393C22⋊C4—1182no—
1394C22⋊C4—1182no—
1395C22⋊C4—1182no—
1396C22⋊C4—1182no—
1397C22⋊C4—1182no—
1398C22⋊C4—1182no—
1399C22⋊C4—1182no—
1400C22⋊C4—1182no—
1401C22⋊C4—1182no—
1402C22⋊C4—1182no—
1403C22⋊C4—1182no—
1404C22⋊C4—1182no—
1405C22⋊C4—1182no—
1406C22⋊C4—1182no—
1407C22⋊C4—1182no—
1408C22⋊C4—1182no—
1409C22⋊C4—1182no—
1410C22⋊C4—2361no—
1411C22⋊C4—2361no—
1412C22⋊C4—2361no—
1413C22⋊C4—2361no—
1414C22⋊C4—2361no—
1415C22⋊C4—2361no—
1416C22⋊C4—2361no—
1417C22⋊C4—2361no—
1418C22⋊C4—2361no—
1419C22⋊C4—2361no—
1420C22⋊C4—2361no—
1421C22⋊C4—2361no—
1422C22⋊C4—2361no—
1423C42—22no—
1424C42—41no—
1425C42—1182no—
1426C42—2361no—
1427C42—2361no—
1428C42—2361no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—592no—
1443C23—592no—
1444C23—592no—
1445C23—592no—
1446C23—1188no—
1447C23—1181no—
1448C23—1181no—
1449C23—1181no—
1450C23—1181no—
1451C23—1181no—
1452C23—1181no—
1453C23—1181no—
1454C23—1181no—
1455C23—1181no—
1456C23—1181no—
1457C23—1181no—
1458C23—1181no—
1459C23—1181no—
1460C23—1181no—
1461C23—1181no—
1462C23—1181no—
1463C23—1181no—
1464C23—2364no—
1465C23—2364no—
1466C23—2364no—
1467C23—2364no—
1468C23—2364no—
1469C23—2364no—
1470C23#1427377412yes—
1471C23C24×D5911yescharacteristic
1472Q8—44no—
1473Q8—4722no—
1474Q8—2364no—
1475Q8—2364no—
1476Q8—2364no—
1477D4—82no—
1478D4—4722no—
1479D4—4722no—
1480D4—4722no—
1481D4—4722no—
1482D4—2364no—
1483D4—2364no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—44no—
1520C2×C4—592no—
1521C2×C4—592no—
1522C2×C4—592no—
1523C2×C4—592no—
1524C2×C4—1188no—
1525C2×C4—1188no—
1526C2×C4—1181no—
1527C2×C4—1181no—
1528C2×C4—1181no—
1529C2×C4—1181no—
1530C2×C4—1181no—
1531C2×C4—1181no—
1532C2×C4—1181no—
1533C2×C4—1181no—
1534C2×C4—1181no—
1535C2×C4—1181no—
1536C2×C4—1181no—
1537C2×C4—1181no—
1538C2×C4—1181no—
1539C2×C4—1181no—
1540C2×C4—1181no—
1541C2×C4—1181no—
1542C2×C4—1181no—
1543C2×C4—1181no—
1544C2×C4—1181no—
1545C2×C4—1181no—
1546C2×C4—1181no—
1547C2×C4—1181no—
1548C2×C4—1181no—
1549C2×C4—1181no—
1550C2×C4—1181no—
1551C2×C4—1181no—
1552C2×C4—1181no—
1553C2×C4—1181no—
1554C2×C4—1181no—
1555C2×C4—1181no—
1556C2×C4—1181no—
1557C2×C4—1181no—
1558C2×C4—1181no—
1559C2×C4—1181no—
1560C2×C4—1181no—
1561C2×C4—4722no—
1562C2×C4—4722no—
1563C2×C4—2364no—
1564C2×C4—2364no—
1565C2×C4—2364no—
1566C2×C4—2364no—
1567C2×C4—2364no—
1568C2×C4—2364no—
1569C2×C4—2364no—
1570C2×C4C2×D4×D5912yes—
1571C2×C4C2×D4×D5912yes—
1572C2×C4C2×D4×D5912yes—
1573C2×C4#1427377312yes—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—594no—
1589C22—1182no—
1590C22—1182no—
1591C22—1182no—
1592C22—1182no—
1593C22—1182no—
1594C22—1182no—
1595C22—1182no—
1596C22—1182no—
1597C22—1182no—
1598C22—23616no—
1599C22—2361no—
1600C22—2361no—
1601C22—2361no—
1602C22—2361no—
1603C22—2361no—
1604C22—2361no—
1605C22—2361no—
1606C22—2361no—
1607C22—2361no—
1608C22—2361no—
1609C22—2361no—
1610C22C22×D4×D5911yescharacteristic
1611C22H(5,𝔽2)×D5911yescharacteristic
1612C22H(5,𝔽2)×D5911yescharacteristic
1613C22C2×#1427377311yescharacteristic
1614C222−1+4×D5911yescharacteristic
1615C222−1+4×D5911yescharacteristic
1616C22C2×#1427377411yescharacteristic
1617C4—22no—
1618C4—22no—
1619C4—22no—
1620C4—22no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—41no—
1630C4—1182no—
1631C4—1182no—
1632C4—1182no—
1633C4—1182no—
1634C4—2361no—
1635C4—2361no—
1636C4—2361no—
1637C4—2361no—
1638C4—2361no—
1639C4—2361no—
1640C4—2361no—
1641C4—2361no—
1642C4—2361no—
1643C2—42no—
1644C2—81no—
1645C2—1184no—
1646C2—4721no—
1647C2—2362no—
1648C2#537×D5911yescharacteristic
1649C2#2143772611yescharacteristic
1650C2#2143774211yescharacteristic
1651C2#2143831711yescharacteristic
1652C2#2143832111yescharacteristic
1653C2#2143834011yescharacteristic
1654C2#2143834211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2702C2
prime radical#21432377C2
hypercenter#2702D59
hypocenterC59#36719
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2702

Complements

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

NH ≅ G/Ntype
1. C2×#16837993C2semidirect
2. C2×C22⋊Q8×D59C2semidirect
3. #21432384C2semidirect
5. #21430757C2semidirect
6. #21430755C2semidirect
7. #21430753C2semidirect
8. #21430751C2semidirect
9. #21430726C2semidirect
10. #21430724C2semidirect
11. #21430718C2semidirect
12. #21430469C2semidirect
13. #21430467C2semidirect
14. #21430466C2semidirect
15. #21430465C2semidirect
16. #21430455C2semidirect
17. #21430454C2semidirect
18. #21430447C2semidirect
19. #21430446C2semidirect
20. #21429910C2semidirect
21. #21429843C2semidirect
22. #21428990C2semidirect
23. #21428981C2semidirect
24. #21427502C2semidirect
25. #21427496C2semidirect
26. #21427480C2semidirect
27. #21427474C2semidirect
28. #21427459C2semidirect
29. #21427454C2semidirect
30. #21426711C2semidirect
31. C59×#2702C2semidirect
35. C2×#14273722C22semidirect
36. C2×#14273719C22semidirect
37. C2×#14273718C22semidirect
40. C2×#14273711C22semidirect
43. C2×#14273709C22semidirect
47. C2×#14273707C22semidirect
52. C2×#14273705C22semidirect
55. C2×#14273704C22semidirect
56. C2×#14273704C22semidirect
57. C2×#14273704C22semidirect
59. C2×#14273703C22semidirect
75. #16837340C22semidirect
76. #16837336C22semidirect
77. #16837336C22semidirect
78. #16837336C22semidirect
79. #16837336C22semidirect
80. #16837335C22semidirect
81. #16837335C22semidirect
82. #16837334C22semidirect
83. #16837334C22semidirect
84. #16837334C22semidirect
90. #16837325C22semidirect
91. #16837325C22semidirect
92. #16837325C22semidirect
96. #16837324C22semidirect
97. #16837324C22semidirect
98. #16837324C22semidirect
99. #16837324C22semidirect
100. #16837323C22semidirect
101. #16837323C22semidirect
102. #16837323C22semidirect
103. #16837323C22semidirect
104. #16837322C22semidirect
105. #16837321C22semidirect
110. #16837318C22semidirect
113. #16837317C22semidirect
114. #16837315C22semidirect
115. #16837315C22semidirect
116. #16837314C22semidirect
117. #16837308C22semidirect
118. #16837306C22semidirect
119. #16837306C22semidirect
124. #16837301C22semidirect
125. #16837300C22semidirect
126. #16837300C22semidirect
127. #16837299C22semidirect
128. #16837299C22semidirect
129. #16837299C22semidirect
130. #16837298C22semidirect
131. #16837298C22semidirect
132. #16837297C22semidirect
133. #16837297C22semidirect
134. #16837297C22semidirect
135. #16837296C22semidirect
139. #16837294C22semidirect
143. #16837291C22semidirect
174. C2×#126×C59C22semidirect
176. C59×#400C22semidirect
177. C59×#398C22semidirect
178. C59×#396C22semidirect
181. C59×#393C22semidirect
182. C59×#391C22semidirect
183. C59×#389C22semidirect
186. C59×#388C22semidirect
290. C4⋊C4×D59D4semidirect
827. #2702D59semidirect
863. C2×#126C2×D59semidirect
905. #400C2×D59semidirect
915. #398C2×D59semidirect
931. #396C2×D59semidirect
951. #393C2×D59semidirect
955. #391C2×D59semidirect
971. #389C2×D59semidirect
983. #388C2×D59semidirect
1016. C59#36719semidirect

Maximal subgroups

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

subgroupindex
C2×#168379932
C2×C22⋊Q8×D592
#214323842
#214323772
#214307572
#214307552
#214307532
#214307512
#214307262
#214307242
#214307182
#214304692
#214304672
#214304662
#214304652
#214304552
#214304542
#214304472
#214304462
#214299102
#214298432
#214289902
#214289812
#214275022
#214274962
#214274802
#214274742
#214274592
#214274542
#214267112
C59×#27022
#3671959