Finite Group Databasebeta

← #28796041

Subgroups — #28796041

Order 15104.

2954 conjugacy classes of subgroups.

The subgroup lattice has 1924 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837967C211yesmaximal, characteristic, complemented
2C2×#16837961C211yesmaximal, characteristic, complemented
3#21432377C211yesmaximal, characteristic, complemented
4#21432375C211yesmaximal, characteristic, complemented
5#21430935C211yesmaximal, characteristic, complemented
6#21430827C211yesmaximal, characteristic, complemented
7#21430818C211yesmaximal, characteristic, complemented
8#21430814C211yesmaximal, characteristic, complemented
9#21430538C211yesmaximal, characteristic, complemented
10#21430534C211yesmaximal, characteristic, complemented
11#21430508C211yesmaximal, characteristic, complemented
12#21430504C211yesmaximal, characteristic, complemented
13#21430476C211yesmaximal, characteristic, complemented
14#21430368C211yesmaximal, characteristic, complemented
15#21430364C211yesmaximal, characteristic, complemented
16#21430338C211yesmaximal, characteristic, complemented
17#21430334C211yesmaximal, characteristic, complemented
18#21430310C211yesmaximal, characteristic, complemented
19#21430304C211yesmaximal, characteristic, complemented
20#21430300C211yesmaximal, characteristic, complemented
21#21429836C211yesmaximal, characteristic, complemented
22#21429832C211yesmaximal, characteristic, complemented
23#21428538C211yesmaximal, characteristic, complemented
24#21428538C211yesmaximal, characteristic, complemented
25#21427702C211yesmaximal, characteristic, complemented
26#21427702C211yesmaximal, characteristic, complemented
27#21427493C211yesmaximal, characteristic, complemented
28#21427486C211yesmaximal, characteristic, complemented
29#21427470C211yesmaximal, characteristic, complemented
30C2×#16837278C211yesmaximal, characteristic, complemented
31C59×#2410C211yesmaximal, characteristic, complemented
32C22×#11745687C2211yescharacteristic, complemented
33C23×C22⋊D59C2211yescharacteristic
34C23×C4×D59C2211yescharacteristic, complemented
35#16837967—28no—
36#16837961—28no—
37C2×#14273723C2211yescharacteristic
38C2×#14273723C2211yescharacteristic, complemented
39C2×#14273713C2211yescharacteristic
40C2×#14273713C2211yescharacteristic, complemented
41C2×#14273711C2211yescharacteristic, complemented
42C2×#14273710C2211yescharacteristic
43C2×#14273710C2211yescharacteristic
44C2×#14273708C2211yescharacteristic
45C2×#14273708C2211yescharacteristic
46C2×#14273708C2211yescharacteristic, complemented
47C2×#14273700C2211yescharacteristic
48C2×#14273700C2211yescharacteristic, complemented
49C2×#14273700C2211yescharacteristic, complemented
50C2×#14273700C2211yescharacteristic, complemented
51C2×#14273699C2211yescharacteristic
52C2×#14273699C2211yescharacteristic
53C2×#14273699C2211yescharacteristic
54C2×#14273699C2211yescharacteristic
55C2×#14273699C2211yescharacteristic
56C2×#14273699C2211yescharacteristic
57C2×#14273699C2211yescharacteristic
58C2×#14273699C2211yescharacteristic, complemented
59C2×#14273698C2211yescharacteristic, complemented
60C2×#14273698C2211yescharacteristic, complemented
61C2×#14273697C2211yescharacteristic, complemented
62C2×#14273696C2211yescharacteristic
63C2×#14273696C2211yescharacteristic
64C2×#14273696C2211yescharacteristic
65C2×#14273696C2211yescharacteristic, complemented
66C2×#14273695C2211yescharacteristic
67C2×#14273695C2211yescharacteristic
68C2×#14273695C2211yescharacteristic, complemented
69C2×#14273683C2211yescharacteristic, complemented
70C22×C22⋊Dic59C2211yescharacteristic
71C22×C22⋊Dic59C2211yescharacteristic
72C22×(C2×D59)⋊C4C2211yescharacteristic, complemented
73#16837343C2211yescharacteristic, complemented
74#16837343C2211yescharacteristic, complemented
75#16837338C2211yescharacteristic, complemented
76#16837338C2211yescharacteristic, complemented
77#16837336C2211yescharacteristic, complemented
78#16837336C2211yescharacteristic, complemented
79#16837331C2211yescharacteristic, complemented
80#16837331C2211yescharacteristic, complemented
81#16837330C2211yescharacteristic, complemented
82#16837330C2211yescharacteristic, complemented
83#16837330C2211yescharacteristic, complemented
84#16837330C2211yescharacteristic, complemented
85#16837328C2211yescharacteristic, complemented
86#16837328C2211yescharacteristic, complemented
87#16837327C2211yescharacteristic, complemented
88#16837327C2211yescharacteristic, complemented
89#16837322C2211yescharacteristic, complemented
90#16837322C2211yescharacteristic, complemented
91#16837320C2211yescharacteristic, complemented
92#16837320C2211yescharacteristic, complemented
93#16837318C2211yescharacteristic, complemented
94#16837318C2211yescharacteristic, complemented
95#16837318C2211yescharacteristic, complemented
96#16837318C2211yescharacteristic, complemented
97#16837318C2211yescharacteristic, complemented
98#16837318C2211yescharacteristic, complemented
99#16837317C2211yescharacteristic, complemented
100#16837317C2211yescharacteristic, complemented
101#16837317C2211yescharacteristic, complemented
102#16837317C2211yescharacteristic, complemented
103#16837316C2211yescharacteristic, complemented
104#16837316C2211yescharacteristic, complemented
105#16837316C2211yescharacteristic, complemented
106#16837316C2211yescharacteristic, complemented
107#16837314C2211yescharacteristic, complemented
108#16837314C2211yescharacteristic, complemented
109#16837311C2211yescharacteristic, complemented
110#16837311C2211yescharacteristic, complemented
111#16837310C2211yescharacteristic, complemented
112#16837310C2211yescharacteristic, complemented
113#16837310C2211yescharacteristic, complemented
114#16837310C2211yescharacteristic, complemented
115#16837310C2211yescharacteristic, complemented
116#16837310C2211yescharacteristic, complemented
117#16837296C2211yescharacteristic, complemented
118#16837296C2211yescharacteristic, complemented
119#16837295C2211yescharacteristic, complemented
120#16837295C2211yescharacteristic, complemented
121#16837285C2211yescharacteristic, complemented
122#16837285C2211yescharacteristic, complemented
123#16837284C2211yescharacteristic, complemented
124#16837284C2211yescharacteristic, complemented
125#16837282C2211yescharacteristic
126#16837282C2211yescharacteristic
127#16837282C2211yescharacteristic, complemented
128#16837282C2211yescharacteristic, complemented
129#16837282C2211yescharacteristic, complemented
130#16837282C2211yescharacteristic, complemented
131#16837282C2211yescharacteristic, complemented
132#16837281C2211yescharacteristic, complemented
133#16837281C2211yescharacteristic, complemented
134#16837281C2211yescharacteristic, complemented
135#16837280C2211yescharacteristic, complemented
136#16837280C2211yescharacteristic, complemented
137#16837279C2211yescharacteristic, complemented
138#16837278C2211yescharacteristic
139#16837278C2211yescharacteristic
140#16837278C2211yescharacteristic
141#16837278C2211yescharacteristic
142#16837278C2211yescharacteristic, complemented
143#16837278C2211yescharacteristic, complemented
144#16837278C2211yescharacteristic, complemented
145#16837278C2211yescharacteristic, complemented
146#16837278C2211yescharacteristic, complemented
147#16837278C2211yescharacteristic, complemented
148#16837278C2211yescharacteristic, complemented
149#16837278C2211yescharacteristic, complemented
150#16837278C2211yescharacteristic, complemented
151#16837278C2211yescharacteristic, complemented
152#16837278C2211yescharacteristic, complemented
153#16837278C2211yescharacteristic, complemented
154#16837277C2211yescharacteristic, complemented
155#16837275C2211yescharacteristic, complemented
156#16837274C2211yescharacteristic, complemented
157#16837274C2211yescharacteristic, complemented
158#16837274C2211yescharacteristic, complemented
159#16837273C2211yescharacteristic, complemented
160#16837273C2211yescharacteristic, complemented
161#16837263C2211yescharacteristic, complemented
162#16837263C2211yescharacteristic, complemented
163#16837262C2211yescharacteristic, complemented
164#16837262C2211yescharacteristic, complemented
165#16837261C2211yescharacteristic, complemented
166#16837261C2211yescharacteristic, complemented
167#16837260C2211yescharacteristic, complemented
168#16837260C2211yescharacteristic, complemented
169#16837259C2211yescharacteristic, complemented
170#16837259C2211yescharacteristic, complemented
171#16837258C2211yescharacteristic, complemented
172C2×C59⋊#95C2211yescharacteristic, complemented
173C2×C59⋊#95C2211yescharacteristic, complemented
174C23×D4×C59C2211yescharacteristic
175C2×#121×C59C2211yescharacteristic
176C2×#121×C59C2211yescharacteristic
177C2×#120×C59C2211yescharacteristic
178C2×#120×C59C2211yescharacteristic, complemented
179C22×C22⋊C4×C59C2211yescharacteristic
180C59×#394C2211yescharacteristic, complemented
181C59×#394C2211yescharacteristic, complemented
182C59×#392C2211yescharacteristic, complemented
183C59×#392C2211yescharacteristic, complemented
184C59×#386C2211yescharacteristic
185C59×#386C2211yescharacteristic
186C59×#386C2211yescharacteristic, complemented
187C59×#385C2211yescharacteristic, complemented
188C59×#379C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C2×#11745687—24no—
191C2×#11745687—42no—
192C2×#11745687—42no—
193C22×Dic118C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×C22⋊D59—42no—
197C22×C22⋊D59—42no—
198C22×C22⋊D59D418yescomplemented
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C22×C22⋊D59C2311yescharacteristic
205C22×C22⋊D59C2311yescharacteristic
206C22×C22⋊D59C2311yescharacteristic
207C22×C22⋊D59C2311yescharacteristic
208C22×C22⋊D59C2311yescharacteristic
209C22×C22⋊D59C2311yescharacteristic
210C22×C22⋊D59C2311yescharacteristic
211C22×C22⋊D59C2311yescharacteristic
212C22×C22⋊D59C2311yescharacteristic
213C22×C22⋊D59C2311yescharacteristic
214C22×C22⋊D59C2311yescharacteristic
215C23×Dic59C2311yescharacteristic
216C23×Dic59C2311yescharacteristic
217C23×Dic59C2311yescharacteristic
218C23×Dic59C2311yescharacteristic
219C23×Dic59C2311yescharacteristic
220C23×Dic59C2311yescharacteristic
221C22×C4×D59—42no—
222C22×C4×D59—42no—
223C22×C4×D59—42no—
224C22×C4×D59C2311yescharacteristic
225C22×C4×D59C2311yescharacteristic
226C22×C4×D59C2311yescharacteristic
227C22×C4×D59C2311yescharacteristic
228C22×C4×D59C2311yescharacteristic
229#14273723—24no—
230#14273723—24no—
231#14273713—24no—
232#14273713—24no—
233#14273711—42no—
234#14273710—24no—
235#14273710—24no—
236#14273708—24no—
237#14273708—24no—
238#14273708—42no—
239#14273700—24no—
240#14273700—24no—
241#14273700—42no—
242#14273700—42no—
243#14273699—24no—
244#14273699—24no—
245#14273699—24no—
246#14273699—24no—
247#14273699—24no—
248#14273699—24no—
249#14273699—42no—
250#14273699—42no—
251#14273698—42no—
252#14273698—42no—
253#14273697—24no—
254#14273696—24no—
255#14273696—24no—
256#14273696—24no—
257#14273696—42no—
258#14273695—24no—
259#14273695—24no—
260#14273695—24no—
261#14273683—24no—
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×C22⋊Dic59—24no—
279C2×C22⋊Dic59—42no—
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×C22⋊Dic59C2311yescharacteristic
303C2×C22⋊Dic59C2311yescharacteristic
304C2×C22⋊Dic59C2311yescharacteristic
305C2×(C2×D59)⋊C4—42no—
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×C4×Dic59C2311yescharacteristic
325C2×C4×Dic59C2311yescharacteristic
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
348C59⋊#95C2311yescharacteristic
349C59⋊#95C2311yescharacteristic
350C59⋊#95C2311yescharacteristic
351C59⋊#95C2311yescharacteristic
352C59⋊#95C2311yescharacteristic
353C59⋊#95C2311yescharacteristic
354C25×C59C2311yescharacteristic
355C25×C59C2311yescharacteristic
356C22×D4×C59—24no—
357C22×D4×C59—42no—
358C22×D4×C59—42no—
359C22×D4×C59C2311yescharacteristic
360C22×D4×C59C2311yescharacteristic
361C22×D4×C59C2311yescharacteristic
362C22×D4×C59C2311yescharacteristic
363C22×D4×C59C2311yescharacteristic
364C22×D4×C59C2311yescharacteristic
365C22×D4×C59C2311yescharacteristic
366C22×D4×C59C2311yescharacteristic
367C22×D4×C59C2311yescharacteristic
368C23×C4×C59C2311yescharacteristic
369C23×C4×C59C2311yescharacteristic
370C23×C4×C59C2311yescharacteristic
371#121×C59—42no—
372#121×C59—42no—
373#120×C59—24no—
374#120×C59—42no—
375C2×C4⋊C4×C59C2311yescharacteristic
376C2×C4⋊C4×C59C2311yescharacteristic
377C2×C22⋊C4×C59—42no—
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
385C2×C22⋊C4×C59C2311yescharacteristic
386C2×C22⋊C4×C59C2311yescharacteristic
387C2×C22⋊C4×C59C2311yescharacteristic
388C2×C22⋊C4×C59C2311yescharacteristic
389C2×C22⋊C4×C59C2311yescharacteristic
390C2×C22⋊C4×C59C2311yescharacteristic
391C2×C22⋊C4×C59C2311yescharacteristic
392C2×C22⋊C4×C59C2311yescharacteristic
393#95×C59C2311yescharacteristic
394#95×C59C2311yescharacteristic
395#95×C59C2311yescharacteristic
396#95×C59C2311yescharacteristic
397C24×C59—22no—
398C24×C59—22no—
399C24×C59—22no—
400C24×C59—41no—
401C24×C59—41no—
402C24×C59—41no—
403C24×C59—41no—
404C24×C59—41no—
405C24×C59—41no—
406C24×C59—41no—
407C24×C59—41no—
408C24×C59—41no—
409C24×C59—41no—
410C24×C59C2×D414yes—
411C24×C59C2411yescharacteristic
412C24×C59C2411yescharacteristic
413C24×C59C2411yescharacteristic
414C24×C59C2411yescharacteristic
415C24×C59C2411yescharacteristic
416C24×C59C2411yescharacteristic
417C23×D59—22no—
418C23×D59—22no—
419C23×D59—41no—
420C23×D59—41no—
421C23×D59—41no—
422C23×D59—41no—
423C23×D59C2×D414yes—
424C23×D59C2411yescharacteristic
425C23×D59C2411yescharacteristic
426C23×D59C2411yescharacteristic
427C2×D4×C59—22no—
428C2×D4×C59—22no—
429C2×D4×C59—22no—
430C2×D4×C59—22no—
431C2×D4×C59—22no—
432C2×D4×C59—22no—
433C2×D4×C59—22no—
434C2×D4×C59—22no—
435C2×D4×C59—22no—
436C2×D4×C59—22no—
437C2×D4×C59—22no—
438C2×D4×C59—22no—
439C2×D4×C59—22no—
440C2×D4×C59—22no—
441C2×D4×C59—41no—
442C2×D4×C59—41no—
443C2×D4×C59—41no—
444C2×D4×C59—41no—
445C2×D4×C59—41no—
446C2×D4×C59—41no—
447C2×D4×C59—41no—
448C2×D4×C59—41no—
449C2×D4×C59—41no—
450C2×D4×C59—41no—
451C2×D4×C59—41no—
452C2×D4×C59—41no—
453C2×D4×C59—41no—
454C2×D4×C59—416no—
455C22×C4×C59—22no—
456C22×C4×C59—22no—
457C22×C4×C59—22no—
458C22×C4×C59—22no—
459C22×C4×C59—41no—
460C22×C4×C59—41no—
461C22×C4×C59—41no—
462C22×C4×C59—41no—
463C22×C4×C59—41no—
464C22×C4×C59C2411yescharacteristic
465C22×C4×C59C2411yescharacteristic
466C22×C4×C59C2411yescharacteristic
467C22×C4×C59C2411yescharacteristic
468C22×C4×C59C2411yescharacteristic
469C22×C4×C59C2411yescharacteristic
470C22×C4×C59C2411yescharacteristic
471C22×C4×C59C2411yescharacteristic
472C22×C4×C59C2411yescharacteristic
473C2×C22⋊D59—22no—
474C2×C22⋊D59—22no—
475C2×C22⋊D59—22no—
476C2×C22⋊D59—22no—
477C2×C22⋊D59—22no—
478C2×C22⋊D59—22no—
479C2×C22⋊D59—22no—
480C2×C22⋊D59—22no—
481C2×C22⋊D59—22no—
482C2×C22⋊D59—22no—
483C2×C22⋊D59—22no—
484C2×C22⋊D59—22no—
485C2×C22⋊D59—22no—
486C2×C22⋊D59—416no—
487C2×C22⋊D59—41no—
488C2×C22⋊D59—41no—
489C2×C22⋊D59—41no—
490C2×C22⋊D59—41no—
491C2×C22⋊D59—41no—
492C2×C22⋊D59—41no—
493C2×C22⋊D59—41no—
494C2×C22⋊D59—41no—
495C2×C22⋊D59—41no—
496C2×C22⋊D59—41no—
497C2×C22⋊D59—41no—
498C2×C22⋊D59—41no—
499C2×C22⋊D59—41no—
500C2×C22⋊D59—41no—
501C2×C22⋊D59—41no—
502C2×C22⋊D59—41no—
503C2×C22⋊D59—41no—
504C2×C22⋊D59—41no—
505C2×C22⋊D59—41no—
506C2×C22⋊D59—41no—
507C2×C22⋊D59—41no—
508C2×C22⋊D59—41no—
509C2×C22⋊D59—41no—
510C2×C22⋊D59—41no—
511C2×C22⋊D59—41no—
512C2×C22⋊D59—41no—
513C2×C22⋊D59—41no—
514C2×C22⋊D59—41no—
515C2×C22⋊D59—41no—
516C2×C22⋊D59—41no—
517C2×C22⋊D59—41no—
518C2×C22⋊D59C2×D414yes—
519C2×C22⋊D59C2×D414yes—
520C2×C22⋊D59C2×D414yes—
521C2×C22⋊D59C2×D414yes—
522C22×Dic59—22no—
523C22×Dic59—22no—
524C22×Dic59—22no—
525C22×Dic59—22no—
526C22×Dic59—22no—
527C22×Dic59—22no—
528C22×Dic59—22no—
529C22×Dic59—22no—
530C22×Dic59—41no—
531C22×Dic59—41no—
532C22×Dic59—41no—
533C22×Dic59—41no—
534C22×Dic59—41no—
535C22×Dic59—41no—
536C22×Dic59—41no—
537C22×Dic59—41no—
538C22×Dic59—41no—
539C22×Dic59C2×D414yes—
540C22×Dic59C2411yescharacteristic
541C22×Dic59C2411yescharacteristic
542C22×Dic59C2411yescharacteristic
543C22×Dic59C2411yescharacteristic
544C22×Dic59C2411yescharacteristic
545C22×Dic59C2411yescharacteristic
546C22×Dic59C2411yescharacteristic
547C22×Dic59C2411yescharacteristic
548C22×Dic59C2411yescharacteristic
549C22×Dic59C2411yescharacteristic
550C22×Dic59C2411yescharacteristic
551C22×Dic59C2411yescharacteristic
552C22×Dic59C2411yescharacteristic
553#11745687—416no—
554C2×D236—22no—
555C2×D236—22no—
556C2×D236—41no—
557C2×D236—41no—
558C2×D236—41no—
559C2×D236—41no—
560C2×C4×D59—22no—
561C2×C4×D59—22no—
562C2×C4×D59—22no—
563C2×C4×D59—22no—
564C2×C4×D59—22no—
565C2×C4×D59—41no—
566C2×C4×D59—41no—
567C2×C4×D59—41no—
568C2×C4×D59—41no—
569C2×C4×D59—41no—
570C2×C4×D59—41no—
571C2×C4×D59—41no—
572C2×C4×D59—41no—
573C2×C4×D59—41no—
574C2×C4×D59—41no—
575C2×C4×D59—416no—
576C2×Dic118—22no—
577C2×Dic118—41no—
578C2×Dic118—41no—
579C4⋊C4×C59—41no—
580C4⋊C4×C59—41no—
581C22⋊C4×C59—22no—
582C22⋊C4×C59—22no—
583C22⋊C4×C59—22no—
584C22⋊C4×C59—22no—
585C22⋊C4×C59—22no—
586C22⋊C4×C59—22no—
587C22⋊C4×C59—41no—
588C22⋊C4×C59—41no—
589C22⋊C4×C59—41no—
590C22⋊C4×C59—41no—
591C22⋊C4×C59—41no—
592C22⋊C4×C59—41no—
593C22⋊C4×C59—41no—
594C22⋊C4×C59—41no—
595C22⋊C4×C59—41no—
596C22⋊Dic59—22no—
597C22⋊Dic59—22no—
598C22⋊Dic59—22no—
599C22⋊Dic59—22no—
600C22⋊Dic59—22no—
601C22⋊Dic59—22no—
602C22⋊Dic59—22no—
603C22⋊Dic59—22no—
604C22⋊Dic59—22no—
605C22⋊Dic59—22no—
606C22⋊Dic59—22no—
607C22⋊Dic59—22no—
608C22⋊Dic59—22no—
609C22⋊Dic59—22no—
610C22⋊Dic59—22no—
611C22⋊Dic59—41no—
612C22⋊Dic59—41no—
613C22⋊Dic59—41no—
614C22⋊Dic59—41no—
615C22⋊Dic59—41no—
616C22⋊Dic59—41no—
617C22⋊Dic59—41no—
618C22⋊Dic59—41no—
619C22⋊Dic59—41no—
620C22⋊Dic59—41no—
621(C2×D59)⋊C4—22no—
622(C2×D59)⋊C4—22no—
623(C2×D59)⋊C4—22no—
624(C2×D59)⋊C4—22no—
625(C2×D59)⋊C4—22no—
626(C2×D59)⋊C4—22no—
627(C2×D59)⋊C4—22no—
628(C2×D59)⋊C4—22no—
629(C2×D59)⋊C4—22no—
630(C2×D59)⋊C4—41no—
631(C2×D59)⋊C4—41no—
632(C2×D59)⋊C4—41no—
633(C2×D59)⋊C4—41no—
634(C2×D59)⋊C4—41no—
635(C2×D59)⋊C4—41no—
636(C2×D59)⋊C4—41no—
637(C2×D59)⋊C4—41no—
638(C2×D59)⋊C4—41no—
639C4⋊Dic59—22no—
640C4⋊Dic59—41no—
641C4⋊Dic59—41no—
642C4⋊Dic59—41no—
643Dic59⋊C4—22no—
644Dic59⋊C4—22no—
645Dic59⋊C4—22no—
646Dic59⋊C4—22no—
647Dic59⋊C4—22no—
648Dic59⋊C4—22no—
649Dic59⋊C4—22no—
650Dic59⋊C4—41no—
651Dic59⋊C4—41no—
652Dic59⋊C4—41no—
653Dic59⋊C4—41no—
654Dic59⋊C4—41no—
655C4×Dic59—22no—
656C4×Dic59—22no—
657C23×C59—21no—
658C23×C59—21no—
659C23×C59—21no—
660C23×C59—21no—
661C23×C59—21no—
662C23×C59—21no—
663C23×C59—21no—
664C23×C59—21no—
665C23×C59—21no—
666C23×C59—21no—
667C23×C59—21no—
668C23×C59—21no—
669C23×C59—21no—
670C23×C59—21no—
671C23×C59—21no—
672C23×C59—21no—
673C23×C59—28no—
674C23×C59—21no—
675C23×C59—21no—
676C23×C59—21no—
677C23×C59—21no—
678C23×C59—21no—
679C23×C59—21no—
680C23×C59—21no—
681C23×C59—21no—
682C23×C59—21no—
683C23×C59—21no—
684C23×C59—21no—
685C23×C59—21no—
686C23×C59—21no—
687C23×C59—21no—
688C23×C59—21no—
689C23×C59—21no—
690C23×C59—21no—
691C23×C59—21no—
692C23×C59—21no—
693C23×C59—21no—
694C23×C59—21no—
695C23×C59—44no—
696C23×C59—44no—
697C23×C59—44no—
698C23×C59—82no—
699C23×C59—82no—
700C23×C59—82no—
701C23×C59—82no—
702C23×C59—82no—
703C23×C59—82no—
704C23×C59—82no—
705C23×C59—82no—
706C23×C59—82no—
707C23×C59—82no—
708C23×C59C22×D412yes—
709C23×C59C22×D412yes—
710C23×C59C22×D412yes—
711C23×C59H(5,𝔽2)12yes—
712C23×C59H(5,𝔽2)12yes—
713C23×C59C2511yescharacteristic
714C22×D59—28no—
715C22×D59—21no—
716C22×D59—21no—
717C22×D59—21no—
718C22×D59—21no—
719C22×D59—21no—
720C22×D59—21no—
721C22×D59—21no—
722C22×D59—21no—
723C22×D59—21no—
724C22×D59—21no—
725C22×D59—21no—
726C22×D59—21no—
727C22×D59—21no—
728C22×D59—21no—
729C22×D59—21no—
730C22×D59—21no—
731C22×D59—21no—
732C22×D59—21no—
733C22×D59—21no—
734C22×D59—44no—
735C22×D59—44no—
736C22×D59—44no—
737C22×D59—44no—
738C22×D59—44no—
739C22×D59—44no—
740C22×D59C22×D412yes—
741C22×D59C22×D412yes—
742D4×C59—44no—
743D4×C59—44no—
744D4×C59—44no—
745D4×C59—44no—
746D4×C59—44no—
747D4×C59—82no—
748D4×C59—82no—
749D4×C59—82no—
750D4×C59—82no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—21no—
760C2×C4×C59—21no—
761C2×C4×C59—21no—
762C2×C4×C59—21no—
763C2×C4×C59—21no—
764C2×C4×C59—21no—
765C2×C4×C59—21no—
766C2×C4×C59—21no—
767C2×C4×C59—21no—
768C2×C4×C59—21no—
769C2×C4×C59—21no—
770C2×C4×C59—21no—
771C2×C4×C59—21no—
772C2×C4×C59—21no—
773C2×C4×C59—21no—
774C2×C4×C59—21no—
775C2×C4×C59—21no—
776C2×C4×C59—21no—
777C2×C4×C59—44no—
778C2×C4×C59—44no—
779C2×C4×C59—82no—
780C2×C4×C59H(5,𝔽2)12yes—
781C22⋊D59—44no—
782C22⋊D59—44no—
783C22⋊D59—44no—
784C22⋊D59—44no—
785C22⋊D59—44no—
786C22⋊D59—44no—
787C22⋊D59—82no—
788C22⋊D59—82no—
789C22⋊D59—82no—
790C22⋊D59—82no—
791C22⋊D59—82no—
792C22⋊D59—82no—
793C22⋊D59—82no—
794C22⋊D59—82no—
795C22⋊D59—82no—
796C22⋊D59—82no—
797C2×Dic59—28no—
798C2×Dic59—21no—
799C2×Dic59—21no—
800C2×Dic59—21no—
801C2×Dic59—21no—
802C2×Dic59—21no—
803C2×Dic59—21no—
804C2×Dic59—21no—
805C2×Dic59—21no—
806C2×Dic59—21no—
807C2×Dic59—21no—
808C2×Dic59—21no—
809C2×Dic59—21no—
810C2×Dic59—21no—
811C2×Dic59—21no—
812C2×Dic59—21no—
813C2×Dic59—21no—
814C2×Dic59—21no—
815C2×Dic59—21no—
816C2×Dic59—21no—
817C2×Dic59—21no—
818C2×Dic59—21no—
819C2×Dic59—21no—
820C2×Dic59—21no—
821C2×Dic59—21no—
822C2×Dic59—21no—
823C2×Dic59—21no—
824C2×Dic59—21no—
825C2×Dic59—21no—
826C2×Dic59—21no—
827C2×Dic59—21no—
828C2×Dic59—21no—
829C2×Dic59—21no—
830C2×Dic59—21no—
831C2×Dic59—21no—
832C2×Dic59—21no—
833C2×Dic59—21no—
834C2×Dic59—44no—
835C2×Dic59—44no—
836C2×Dic59—82no—
837C2×Dic59—82no—
838C2×Dic59—82no—
839C2×Dic59C22×D412yes—
840C2×Dic59C22×D412yes—
841C2×Dic59H(5,𝔽2)12yes—
842D236—82no—
843D236—82no—
844C4×D59—44no—
845C4×D59—44no—
846C4×D59—44no—
847C4×D59—44no—
848C4×D59—44no—
849Dic118—44no—
850#36737—591nomaximal, Sylow
851C22×C59—22no—
852C22×C59—22no—
853C22×C59—22no—
854C22×C59—22no—
855C22×C59—22no—
856C22×C59—22no—
857C22×C59—22no—
858C22×C59—22no—
859C22×C59—22no—
860C22×C59—22no—
861C22×C59—22no—
862C22×C59—22no—
863C22×C59—41no—
864C22×C59—41no—
865C22×C59—41no—
866C22×C59—41no—
867C22×C59—41no—
868C22×C59—41no—
869C22×C59—41no—
870C22×C59—41no—
871C22×C59—41no—
872C22×C59—41no—
873C22×C59—41no—
874C22×C59—41no—
875C22×C59—41no—
876C22×C59—41no—
877C22×C59—41no—
878C22×C59—41no—
879C22×C59—41no—
880C22×C59—41no—
881C22×C59—41no—
882C22×C59—41no—
883C22×C59—41no—
884C22×C59—41no—
885C22×C59—41no—
886C22×C59—41no—
887C22×C59—41no—
888C22×C59—41no—
889C22×C59—41no—
890C22×C59—41no—
891C22×C59—41no—
892C22×C59—88no—
893C22×C59—88no—
894C22×C59#53414yes—
895C22×C59C23×D411yescharacteristic
896C22×C59C2×H(5,𝔽2)11yescharacteristic
897C22×C59C2×H(5,𝔽2)11yescharacteristic
898C22×C59C2×H(5,𝔽2)11yescharacteristic
899C22×C59C2×H(5,𝔽2)11yescharacteristic
900C22×C59#58511yescharacteristic
901C22×C59#58511yescharacteristic
902C2×D59—22no—
903C2×D59—22no—
904C2×D59—22no—
905C2×D59—22no—
906C2×D59—22no—
907C2×D59—22no—
908C2×D59—416no—
909C2×D59—41no—
910C2×D59—41no—
911C2×D59—41no—
912C2×D59—41no—
913C2×D59—41no—
914C2×D59—41no—
915C2×D59—41no—
916C2×D59—41no—
917C2×D59—41no—
918C2×D59—41no—
919C2×D59—41no—
920C2×D59—41no—
921C2×D59—41no—
922C2×D59—41no—
923C2×D59—41no—
924C4×C59—22no—
925C4×C59—41no—
926C4×C59—41no—
927C4×C59—41no—
928C4×C59—41no—
929C4×C59—41no—
930C4×C59—41no—
931C4×C59—41no—
932C4×C59—41no—
933Dic59—22no—
934Dic59—22no—
935Dic59—22no—
936Dic59—41no—
937Dic59—41no—
938Dic59—41no—
939Dic59—41no—
940Dic59—41no—
941Dic59—41no—
942Dic59—41no—
943Dic59—41no—
944Dic59—41no—
945Dic59—41no—
946C2×#535—591no—
947C2×#534—591no—
948#2847—591no—
949#2847—591no—
950#2717—591no—
951#2709—591no—
952#2708—591no—
953#2708—591no—
954#2688—591no—
955#2688—591no—
956#2686—591no—
957#2686—591no—
958#2684—591no—
959#2673—591no—
960#2673—591no—
961#2671—591no—
962#2671—591no—
963#2669—591no—
964#2668—591no—
965#2668—591no—
966#2617—591no—
967#2617—591no—
968#2498—591no—
969#2498—591no—
970#2430—591no—
971#2430—591no—
972#2412—591no—
973#2412—591no—
974#2410—591no—
975#2410D5911yescharacteristic, complemented
976C2×#386—591no—
977C2×C59—24no—
978C2×C59—42no—
979C2×C59—42no—
980C2×C59—81no—
981C2×C59—81no—
982C2×C59—81no—
983C2×C59C2×#53411yescharacteristic
984C2×C59#349611yescharacteristic
985C2×C59#349611yescharacteristic
986C2×C59#353211yescharacteristic
987C2×C59#353311yescharacteristic
988C2×C59#354211yescharacteristic
989C2×C59#354211yescharacteristic
990D59—42no—
991D59—42no—
992D59—81no—
993C22×#41—591no—
994C23×D4—591no—
995C23×D4C2×D5911yescharacteristic
996C24×C4—591no—
997#535—1188no—
998#534—1188no—
999C2×#127—591no—
1000C2×#127—591no—
1001C2×#124—591no—
1002C2×#124—591no—
1003C2×#123—591no—
1004C2×#123—591no—
1005C2×#123—591no—
1006C2×#123—591no—
1007C2×#123—591no—
1008C2×#123—591no—
1009C2×#121—591no—
1010C2×#121—591no—
1011C2×#121—591no—
1012C2×#121—591no—
1013C2×#121—591no—
1014C2×#121—591no—
1015C2×#121—591no—
1016C2×#121—591no—
1017C2×#121—591no—
1018C2×#121—591no—
1019C2×#121—591no—
1020C2×#121—591no—
1021C2×#121—591no—
1022C2×#121—591no—
1023C2×#121C2×D5911yescharacteristic
1024C2×#121C2×D5911yescharacteristic
1025C2×#120—591no—
1026C2×#120—591no—
1027C2×#120—591no—
1028C2×#120—591no—
1029C2×#120—591no—
1030C2×#120—591no—
1031C2×#120—591no—
1032C2×#120—591no—
1033C2×#120C2×D5911yescharacteristic
1034C2×#120C2×D5911yescharacteristic, complemented
1035C2×#117—591no—
1036C22×C22⋊C4—591no—
1037C22×C22⋊C4—591no—
1038C22×C22⋊C4—591no—
1039C22×C22⋊C4C2×D5911yescharacteristic
1040#400—591no—
1041#400—591no—
1042#399—591no—
1043#399—591no—
1044#398—591no—
1045#398—591no—
1046#397—591no—
1047#397—591no—
1048#397—591no—
1049#397—591no—
1050#397—591no—
1051#397—591no—
1052#397—591no—
1053#397—591no—
1054#397—591no—
1055#397—591no—
1056#395—591no—
1057#395—591no—
1058#394—591no—
1059#394—591no—
1060#394—591no—
1061#394—591no—
1062#394—591no—
1063#394—591no—
1064#394—591no—
1065#394—591no—
1066#394—591no—
1067#394—591no—
1068#394—591no—
1069#394—591no—
1070#394—591no—
1071#394—591no—
1072#394—591no—
1073#394—591no—
1074#394C2×D5911yescharacteristic, complemented
1075#394C2×D5911yescharacteristic, complemented
1076#393—591no—
1077#393—591no—
1078#392—591no—
1079#392—591no—
1080#392—591no—
1081#392—591no—
1082#392—591no—
1083#392—591no—
1084#392—591no—
1085#392—591no—
1086#392C2×D5911yescharacteristic, complemented
1087#392C2×D5911yescharacteristic, complemented
1088#388—591no—
1089#388—591no—
1090#388—591no—
1091#388—591no—
1092#387—591no—
1093#387—591no—
1094#387—591no—
1095#387—591no—
1096#386—591no—
1097#386—591no—
1098#386—591no—
1099#386—591no—
1100#386—591no—
1101#386—591no—
1102#386—591no—
1103#386—591no—
1104#386—591no—
1105#386—591no—
1106#386—591no—
1107#386—591no—
1108#386—591no—
1109#386—591no—
1110#386—591no—
1111#386—591no—
1112#386—591no—
1113#386—591no—
1114#386—591no—
1115#386—591no—
1116#386—591no—
1117#386—591no—
1118#386—591no—
1119#386—591no—
1120#386—591no—
1121#386—591no—
1122#386—591no—
1123#386—591no—
1124#386—591no—
1125#386C2×D5911yescharacteristic
1126#386C2×D5911yescharacteristic
1127#386C2×D5911yescharacteristic, complemented
1128#385—591no—
1129#385—591no—
1130#385—591no—
1131#385—591no—
1132#385—591no—
1133#385—591no—
1134#385—591no—
1135#385C2×D5911yescharacteristic, complemented
1136#381—591no—
1137#381—591no—
1138#380—591no—
1139#380—591no—
1140#380—591no—
1141#380—591no—
1142#380—591no—
1143#380—591no—
1144#380—591no—
1145#380—591no—
1146#379—591no—
1147#379C2×D5911yescharacteristic, complemented
1148C2×#95—591no—
1149C2×#95—591no—
1150C59#3673711yescharacteristic, complemented, Sylow
1151C25—591no—
1152C25C22×D5911yescharacteristic
1153C25C22×D5911yescharacteristic
1154C2×#41—1184no—
1155C2×#41—2362no—
1156C2×#41—2362no—
1157C22×Q8—591no—
1158C22×D4—24no—
1159C22×D4—42no—
1160C22×D4—42no—
1161C22×D4—598no—
1162C22×D4—591no—
1163C22×D4—591no—
1164C22×D4—591no—
1165C22×D4—591no—
1166C22×D4—591no—
1167C22×D4—591no—
1168C22×D4—591no—
1169C22×D4—591no—
1170C22×D4—591no—
1171C22×D4—591no—
1172C22×D4—591no—
1173C22×D4—591no—
1174C22×D4—591no—
1175C22×D4—591no—
1176C22×D4—591no—
1177C22×D4—591no—
1178C22×D4—591no—
1179C22×D4—591no—
1180C22×D4—2362no—
1181C22×D4—2362no—
1182C22×D4C22×D5911yescharacteristic
1183C22×D4C22×D5911yescharacteristic
1184C22×D4C22×D5911yescharacteristic
1185C22×D4C22×D5911yescharacteristic
1186C22×D4C22×D5911yescharacteristic
1187C22×D4C22×D5911yescharacteristic
1188C22×D4C22×D5911yescharacteristic
1189C22×D4C22×D5911yescharacteristic
1190C22×D4C22×D5911yescharacteristic
1191C23×C4—591no—
1192C23×C4—591no—
1193C23×C4—591no—
1194C23×C4—591no—
1195C23×C4—591no—
1196C23×C4—591no—
1197C23×C4—591no—
1198C23×C4—591no—
1199C23×C4—591no—
1200C23×C4—591no—
1201C23×C4—591no—
1202C23×C4—2362no—
1203C23×C4—2362no—
1204C23×C4—2362no—
1205C23×C4C22×D5911yescharacteristic
1206C23×C4C22×D5911yescharacteristic
1207C23×C4C22×D5911yescharacteristic
1208#127—1184no—
1209#127—1184no—
1210#124—1184no—
1211#124—1184no—
1212#123—1184no—
1213#123—1184no—
1214#123—1184no—
1215#123—1184no—
1216#123—2362no—
1217#123—2362no—
1218#121—42no—
1219#121—42no—
1220#121—1184no—
1221#121—1184no—
1222#121—1184no—
1223#121—1184no—
1224#121—1184no—
1225#121—1184no—
1226#121—1184no—
1227#121—1184no—
1228#121—2362no—
1229#121—2362no—
1230#121—2362no—
1231#121—2362no—
1232#121—2362no—
1233#121—2362no—
1234#120—24no—
1235#120—42no—
1236#120—1184no—
1237#120—1184no—
1238#120—1184no—
1239#120—1184no—
1240#120—1184no—
1241#120—1184no—
1242#120—1184no—
1243#120—2362no—
1244#117—1184no—
1245C2×C4⋊C4—591no—
1246C2×C4⋊C4—591no—
1247C2×C4⋊C4—591no—
1248C2×C4⋊C4—591no—
1249C2×C4⋊C4—591no—
1250C2×C4⋊C4—591no—
1251C2×C4⋊C4—591no—
1252C2×C4⋊C4—591no—
1253C2×C4⋊C4—591no—
1254C2×C4⋊C4—591no—
1255C2×C4⋊C4—591no—
1256C2×C4⋊C4—591no—
1257C2×C4⋊C4—591no—
1258C2×C4⋊C4—591no—
1259C2×C4⋊C4—591no—
1260C2×C4⋊C4—591no—
1261C2×C4⋊C4C22×D5911yescharacteristic
1262C2×C4⋊C4C22×D5911yescharacteristic
1263C2×C22⋊C4—42no—
1264C2×C22⋊C4—591no—
1265C2×C22⋊C4—591no—
1266C2×C22⋊C4—591no—
1267C2×C22⋊C4—591no—
1268C2×C22⋊C4—591no—
1269C2×C22⋊C4—591no—
1270C2×C22⋊C4—591no—
1271C2×C22⋊C4—591no—
1272C2×C22⋊C4—591no—
1273C2×C22⋊C4—591no—
1274C2×C22⋊C4—591no—
1275C2×C22⋊C4—591no—
1276C2×C22⋊C4—591no—
1277C2×C22⋊C4—591no—
1278C2×C22⋊C4—591no—
1279C2×C22⋊C4—591no—
1280C2×C22⋊C4—591no—
1281C2×C22⋊C4—591no—
1282C2×C22⋊C4—591no—
1283C2×C22⋊C4—591no—
1284C2×C22⋊C4—591no—
1285C2×C22⋊C4—591no—
1286C2×C22⋊C4—591no—
1287C2×C22⋊C4—591no—
1288C2×C22⋊C4—591no—
1289C2×C22⋊C4—591no—
1290C2×C22⋊C4—591no—
1291C2×C22⋊C4—591no—
1292C2×C22⋊C4—591no—
1293C2×C22⋊C4—591no—
1294C2×C22⋊C4—591no—
1295C2×C22⋊C4—591no—
1296C2×C22⋊C4—591no—
1297C2×C22⋊C4—591no—
1298C2×C22⋊C4—591no—
1299C2×C22⋊C4—591no—
1300C2×C22⋊C4—591no—
1301C2×C22⋊C4—591no—
1302C2×C22⋊C4—591no—
1303C2×C22⋊C4—591no—
1304C2×C22⋊C4—591no—
1305C2×C22⋊C4—591no—
1306C2×C22⋊C4—591no—
1307C2×C22⋊C4—1184no—
1308C2×C22⋊C4—2362no—
1309C2×C22⋊C4—2362no—
1310C2×C22⋊C4C22×D5911yescharacteristic
1311C2×C22⋊C4C22×D5911yescharacteristic
1312C2×C22⋊C4C22×D5911yescharacteristic
1313C2×C22⋊C4C22×D5911yescharacteristic
1314C2×C22⋊C4C22×D5911yescharacteristic
1315C2×C22⋊C4C22×D5911yescharacteristic
1316C2×C22⋊C4C22×D5911yescharacteristic
1317C2×C22⋊C4C22×D5911yescharacteristic
1318C2×C22⋊C4C22×D5911yescharacteristic
1319C2×C22⋊C4C22×D5911yescharacteristic
1320C2×C22⋊C4C22×D5911yescharacteristic
1321C2×C22⋊C4C22×D5911yescharacteristic
1322C2×C22⋊C4C22×D5911yescharacteristic
1323C2×C22⋊C4C22×D5911yescharacteristic
1324C2×C22⋊C4C22×D5911yescharacteristic
1325C2×C42—591no—
1326C2×C42—591no—
1327#95—591no—
1328#95—591no—
1329#95—591no—
1330#95—591no—
1331#95—591no—
1332#95—591no—
1333#95—591no—
1334#95—591no—
1335#95—591no—
1336#95—591no—
1337#95—591no—
1338#95—591no—
1339#95—591no—
1340#95—591no—
1341#95—591no—
1342#95—591no—
1343#95—591no—
1344#95—591no—
1345#95—591no—
1346#95—591no—
1347#95—591no—
1348#95—591no—
1349#95—591no—
1350#95—591no—
1351#95—591no—
1352#95—591no—
1353#95—591no—
1354#95—591no—
1355#95C22×D5911yescharacteristic
1356#95C22×D5911yescharacteristic
1357#95C22×D5911yescharacteristic
1358#95C22×D5911yescharacteristic
1359C24—22no—
1360C24—22no—
1361C24—22no—
1362C24—41no—
1363C24—41no—
1364C24—41no—
1365C24—41no—
1366C24—41no—
1367C24—41no—
1368C24—41no—
1369C24—41no—
1370C24—41no—
1371C24—41no—
1372C24—591no—
1373C24—591no—
1374C24—594no—
1375C24—591no—
1376C24—1182no—
1377C24—1182no—
1378C24—2361no—
1379C24—2361no—
1380C24—2361no—
1381C24—2361no—
1382C24D4×D5914yes—
1383C24C23×D5911yescharacteristic
1384C24C23×D5911yescharacteristic
1385C24C23×D5911yescharacteristic
1386C24C23×D5911yescharacteristic
1387C24C23×D5911yescharacteristic
1388C24C23×D5911yescharacteristic
1389#41—23616no—
1390C2×Q8—1182no—
1391C2×Q8—2361no—
1392C2×Q8—2361no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—22no—
1397C2×D4—22no—
1398C2×D4—22no—
1399C2×D4—22no—
1400C2×D4—22no—
1401C2×D4—22no—
1402C2×D4—22no—
1403C2×D4—22no—
1404C2×D4—22no—
1405C2×D4—22no—
1406C2×D4—22no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—41no—
1410C2×D4—41no—
1411C2×D4—41no—
1412C2×D4—41no—
1413C2×D4—41no—
1414C2×D4—41no—
1415C2×D4—41no—
1416C2×D4—41no—
1417C2×D4—41no—
1418C2×D4—41no—
1419C2×D4—41no—
1420C2×D4—416no—
1421C2×D4—594no—
1422C2×D4—594no—
1423C2×D4—594no—
1424C2×D4—594no—
1425C2×D4—1182no—
1426C2×D4—1182no—
1427C2×D4—1182no—
1428C2×D4—1182no—
1429C2×D4—1182no—
1430C2×D4—1182no—
1431C2×D4—1182no—
1432C2×D4—1182no—
1433C2×D4—1182no—
1434C2×D4—1182no—
1435C2×D4—1182no—
1436C2×D4—1182no—
1437C2×D4—1182no—
1438C2×D4—1182no—
1439C2×D4—1182no—
1440C2×D4—2361no—
1441C2×D4—2361no—
1442C2×D4—2361no—
1443C2×D4—2361no—
1444C2×D4—2361no—
1445C2×D4—2361no—
1446C2×D4—2361no—
1447C2×D4—2361no—
1448C2×D4—2361no—
1449C2×D4—2361no—
1450C2×D4—2361no—
1451C2×D4—2361no—
1452C2×D4—2361no—
1453C2×D4—2361no—
1454C2×D4—2361no—
1455C2×D4—2361no—
1456C2×D4—2361no—
1457C2×D4—2361no—
1458C2×D4—2361no—
1459C2×D4—2361no—
1460C2×D4—2361no—
1461C2×D4—2361no—
1462C2×D4—2361no—
1463C2×D4—2361no—
1464C2×D4—2361no—
1465C2×D4—23616no—
1466C2×D4—2361no—
1467C2×D4—2361no—
1468C2×D4—2361no—
1469C2×D4—2361no—
1470C2×D4—2361no—
1471C2×D4—2361no—
1472C2×D4—2361no—
1473C2×D4—2361no—
1474C2×D4—2361no—
1475C2×D4—2361no—
1476C22×C4—22no—
1477C22×C4—22no—
1478C22×C4—22no—
1479C22×C4—22no—
1480C22×C4—41no—
1481C22×C4—41no—
1482C22×C4—41no—
1483C22×C4—41no—
1484C22×C4—41no—
1485C22×C4—594no—
1486C22×C4—591no—
1487C22×C4—591no—
1488C22×C4—591no—
1489C22×C4—591no—
1490C22×C4—591no—
1491C22×C4—591no—
1492C22×C4—591no—
1493C22×C4—591no—
1494C22×C4—591no—
1495C22×C4—591no—
1496C22×C4—591no—
1497C22×C4—591no—
1498C22×C4—591no—
1499C22×C4—1182no—
1500C22×C4—1182no—
1501C22×C4—1182no—
1502C22×C4—1182no—
1503C22×C4—1182no—
1504C22×C4—1182no—
1505C22×C4—1182no—
1506C22×C4—1182no—
1507C22×C4—1182no—
1508C22×C4—1182no—
1509C22×C4—1182no—
1510C22×C4—1182no—
1511C22×C4—1182no—
1512C22×C4—2361no—
1513C22×C4—2361no—
1514C22×C4—2361no—
1515C22×C4—2361no—
1516C22×C4—2361no—
1517C22×C4—2361no—
1518C22×C4—2361no—
1519C22×C4—2361no—
1520C22×C4—2361no—
1521C22×C4—2361no—
1522C22×C4—23616no—
1523C22×C4—2361no—
1524C22×C4—2361no—
1525C22×C4—2361no—
1526C22×C4—2361no—
1527C22×C4—2361no—
1528C22×C4—2361no—
1529C22×C4—2361no—
1530C22×C4—2361no—
1531C22×C4—2361no—
1532C22×C4C23×D5911yescharacteristic
1533C22×C4C23×D5911yescharacteristic
1534C22×C4C23×D5911yescharacteristic
1535C22×C4C23×D5911yescharacteristic
1536C22×C4C23×D5911yescharacteristic
1537C22×C4C23×D5911yescharacteristic
1538C22×C4C23×D5911yescharacteristic
1539C22×C4C23×D5911yescharacteristic
1540C22×C4C23×D5911yescharacteristic
1541C4⋊C4—41no—
1542C4⋊C4—41no—
1543C4⋊C4—1182no—
1544C4⋊C4—1182no—
1545C4⋊C4—1182no—
1546C4⋊C4—1182no—
1547C4⋊C4—1182no—
1548C4⋊C4—1182no—
1549C4⋊C4—1182no—
1550C4⋊C4—1182no—
1551C4⋊C4—2361no—
1552C4⋊C4—2361no—
1553C4⋊C4—2361no—
1554C4⋊C4—2361no—
1555C4⋊C4—2361no—
1556C4⋊C4—2361no—
1557C4⋊C4—2361no—
1558C4⋊C4—2361no—
1559C22⋊C4—22no—
1560C22⋊C4—22no—
1561C22⋊C4—22no—
1562C22⋊C4—22no—
1563C22⋊C4—22no—
1564C22⋊C4—22no—
1565C22⋊C4—41no—
1566C22⋊C4—41no—
1567C22⋊C4—41no—
1568C22⋊C4—41no—
1569C22⋊C4—41no—
1570C22⋊C4—41no—
1571C22⋊C4—41no—
1572C22⋊C4—41no—
1573C22⋊C4—41no—
1574C22⋊C4—1182no—
1575C22⋊C4—1182no—
1576C22⋊C4—1182no—
1577C22⋊C4—1182no—
1578C22⋊C4—1182no—
1579C22⋊C4—1182no—
1580C22⋊C4—1182no—
1581C22⋊C4—1182no—
1582C22⋊C4—1182no—
1583C22⋊C4—1182no—
1584C22⋊C4—1182no—
1585C22⋊C4—1182no—
1586C22⋊C4—1182no—
1587C22⋊C4—1182no—
1588C22⋊C4—1182no—
1589C22⋊C4—1182no—
1590C22⋊C4—1182no—
1591C22⋊C4—1182no—
1592C22⋊C4—1182no—
1593C22⋊C4—1182no—
1594C22⋊C4—1182no—
1595C22⋊C4—1182no—
1596C22⋊C4—1182no—
1597C22⋊C4—1182no—
1598C22⋊C4—2361no—
1599C22⋊C4—2361no—
1600C22⋊C4—2361no—
1601C22⋊C4—2361no—
1602C22⋊C4—2361no—
1603C22⋊C4—2361no—
1604C22⋊C4—2361no—
1605C22⋊C4—2361no—
1606C22⋊C4—2361no—
1607C22⋊C4—2361no—
1608C22⋊C4—2361no—
1609C22⋊C4—2361no—
1610C22⋊C4—2361no—
1611C22⋊C4—2361no—
1612C22⋊C4—2361no—
1613C22⋊C4—2361no—
1614C22⋊C4—2361no—
1615C22⋊C4—2361no—
1616C22⋊C4—2361no—
1617C42—1182no—
1618C42—1182no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—28no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—21no—
1655C23—21no—
1656C23—21no—
1657C23—44no—
1658C23—44no—
1659C23—44no—
1660C23—82no—
1661C23—82no—
1662C23—82no—
1663C23—82no—
1664C23—82no—
1665C23—82no—
1666C23—82no—
1667C23—82no—
1668C23—82no—
1669C23—82no—
1670C23—592no—
1671C23—592no—
1672C23—1188no—
1673C23—1181no—
1674C23—1181no—
1675C23—1181no—
1676C23—1181no—
1677C23—1181no—
1678C23—1181no—
1679C23—1181no—
1680C23—1181no—
1681C23—1181no—
1682C23—1181no—
1683C23—1181no—
1684C23—1181no—
1685C23—1181no—
1686C23—1181no—
1687C23—1181no—
1688C23—1181no—
1689C23—1181no—
1690C23—1181no—
1691C23—1181no—
1692C23—2364no—
1693C23—2364no—
1694C23—2364no—
1695C23—2364no—
1696C23—2364no—
1697C23—2364no—
1698C23C2×D4×D5912yes—
1699C23C2×D4×D5912yes—
1700C23C2×D4×D5912yes—
1701C23#1427377212yes—
1702C23#1427377212yes—
1703C23C24×D5911yescharacteristic
1704Q8—2364no—
1705D4—44no—
1706D4—44no—
1707D4—44no—
1708D4—44no—
1709D4—44no—
1710D4—82no—
1711D4—82no—
1712D4—82no—
1713D4—82no—
1714D4—4722no—
1715D4—4722no—
1716D4—4722no—
1717D4—4722no—
1718D4—4722no—
1719D4—4722no—
1720D4—4722no—
1721D4—4722no—
1722D4—4722no—
1723D4—4722no—
1724D4—4722no—
1725D4—4722no—
1726D4—2364no—
1727D4—2364no—
1728D4—2364no—
1729D4—2364no—
1730D4—2364no—
1731D4—2364no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—44no—
1759C2×C4—44no—
1760C2×C4—82no—
1761C2×C4—592no—
1762C2×C4—592no—
1763C2×C4—592no—
1764C2×C4—1188no—
1765C2×C4—1181no—
1766C2×C4—1181no—
1767C2×C4—1181no—
1768C2×C4—1181no—
1769C2×C4—1181no—
1770C2×C4—1181no—
1771C2×C4—1181no—
1772C2×C4—1181no—
1773C2×C4—1181no—
1774C2×C4—1181no—
1775C2×C4—1181no—
1776C2×C4—1181no—
1777C2×C4—1181no—
1778C2×C4—1181no—
1779C2×C4—1181no—
1780C2×C4—1181no—
1781C2×C4—1181no—
1782C2×C4—1181no—
1783C2×C4—1181no—
1784C2×C4—1181no—
1785C2×C4—1181no—
1786C2×C4—1181no—
1787C2×C4—1181no—
1788C2×C4—1181no—
1789C2×C4—1181no—
1790C2×C4—1181no—
1791C2×C4—1181no—
1792C2×C4—1181no—
1793C2×C4—1181no—
1794C2×C4—1181no—
1795C2×C4—1181no—
1796C2×C4—1181no—
1797C2×C4—1181no—
1798C2×C4—1181no—
1799C2×C4—1181no—
1800C2×C4—1181no—
1801C2×C4—4722no—
1802C2×C4—4722no—
1803C2×C4—4722no—
1804C2×C4—2364no—
1805C2×C4—2364no—
1806C2×C4—2364no—
1807C2×C4—2364no—
1808C2×C4—2364no—
1809C2×C4—2364no—
1810C2×C4—2364no—
1811C2×C4#1427377212yes—
1812C22—22no—
1813C22—22no—
1814C22—22no—
1815C22—22no—
1816C22—22no—
1817C22—22no—
1818C22—22no—
1819C22—22no—
1820C22—22no—
1821C22—22no—
1822C22—22no—
1823C22—22no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—88no—
1854C22—88no—
1855C22—1182no—
1856C22—1182no—
1857C22—1182no—
1858C22—1182no—
1859C22—1182no—
1860C22—1182no—
1861C22—23616no—
1862C22—2361no—
1863C22—2361no—
1864C22—2361no—
1865C22—2361no—
1866C22—2361no—
1867C22—2361no—
1868C22—2361no—
1869C22—2361no—
1870C22—2361no—
1871C22—2361no—
1872C22—2361no—
1873C22—2361no—
1874C22—2361no—
1875C22—2361no—
1876C22—2361no—
1877C22#1683796214yes—
1878C22C22×D4×D5911yescharacteristic
1879C22H(5,𝔽2)×D5911yescharacteristic
1880C22C2×#1427377211yescharacteristic
1881C22C2×#1427377211yescharacteristic
1882C22C2×#1427377211yescharacteristic
1883C22#1683823711yescharacteristic
1884C22#1683823811yescharacteristic
1885C4—22no—
1886C4—41no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—41no—
1893C4—41no—
1894C4—1182no—
1895C4—1182no—
1896C4—1182no—
1897C4—2361no—
1898C4—2361no—
1899C4—2361no—
1900C4—2361no—
1901C4—2361no—
1902C4—2361no—
1903C4—2361no—
1904C4—2361no—
1905C4—2361no—
1906C4—2361no—
1907C2—24no—
1908C2—42no—
1909C2—42no—
1910C2—81no—
1911C2—81no—
1912C2—81no—
1913C2—4721no—
1914C2—2362no—
1915C2—2362no—
1916C2C2×#1683796211yescharacteristic
1917C2#2143785311yescharacteristic
1918C2#2143785711yescharacteristic
1919C2#2143824611yescharacteristic
1920C2#2143825511yescharacteristic
1921C2#2143839711yescharacteristic
1922C2#2143841711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2410C2
hypercenter#2410D59
hypocenterC59#36737
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2410

Complements

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

NH ≅ G/Ntype
1. C2×#16837967C2semidirect
2. C2×#16837961C2semidirect
3. #21432377C2semidirect
4. #21432375C2semidirect
5. #21430935C2semidirect
6. #21430827C2semidirect
7. #21430818C2semidirect
8. #21430814C2semidirect
9. #21430538C2semidirect
10. #21430534C2semidirect
11. #21430508C2semidirect
12. #21430504C2semidirect
13. #21430476C2semidirect
14. #21430368C2semidirect
15. #21430364C2semidirect
16. #21430338C2semidirect
17. #21430334C2semidirect
18. #21430310C2semidirect
19. #21430304C2semidirect
20. #21430300C2semidirect
21. #21429836C2semidirect
22. #21429832C2semidirect
23. #21428538C2semidirect
24. #21428538C2semidirect
25. #21427702C2semidirect
26. #21427702C2semidirect
27. #21427493C2semidirect
28. #21427486C2semidirect
29. #21427470C2semidirect
30. C2×#16837278C2semidirect
31. C59×#2410C2semidirect
32. C22×#11745687C22semidirect
34. C23×C4×D59C22semidirect
38. C2×#14273723C22semidirect
40. C2×#14273713C22semidirect
41. C2×#14273711C22semidirect
46. C2×#14273708C22semidirect
48. C2×#14273700C22semidirect
49. C2×#14273700C22semidirect
50. C2×#14273700C22semidirect
58. C2×#14273699C22semidirect
59. C2×#14273698C22semidirect
60. C2×#14273698C22semidirect
61. C2×#14273697C22semidirect
65. C2×#14273696C22semidirect
68. C2×#14273695C22semidirect
69. C2×#14273683C22semidirect
72. C22×(C2×D59)⋊C4C22semidirect
73. #16837343C22semidirect
74. #16837343C22semidirect
75. #16837338C22semidirect
76. #16837338C22semidirect
77. #16837336C22semidirect
78. #16837336C22semidirect
79. #16837331C22semidirect
80. #16837331C22semidirect
81. #16837330C22semidirect
82. #16837330C22semidirect
83. #16837330C22semidirect
84. #16837330C22semidirect
85. #16837328C22semidirect
86. #16837328C22semidirect
87. #16837327C22semidirect
88. #16837327C22semidirect
89. #16837322C22semidirect
90. #16837322C22semidirect
91. #16837320C22semidirect
92. #16837320C22semidirect
93. #16837318C22semidirect
94. #16837318C22semidirect
95. #16837318C22semidirect
96. #16837318C22semidirect
97. #16837318C22semidirect
98. #16837318C22semidirect
99. #16837317C22semidirect
100. #16837317C22semidirect
101. #16837317C22semidirect
102. #16837317C22semidirect
103. #16837316C22semidirect
104. #16837316C22semidirect
105. #16837316C22semidirect
106. #16837316C22semidirect
107. #16837314C22semidirect
108. #16837314C22semidirect
109. #16837311C22semidirect
110. #16837311C22semidirect
111. #16837310C22semidirect
112. #16837310C22semidirect
113. #16837310C22semidirect
114. #16837310C22semidirect
115. #16837310C22semidirect
116. #16837310C22semidirect
117. #16837296C22semidirect
118. #16837296C22semidirect
119. #16837295C22semidirect
120. #16837295C22semidirect
121. #16837285C22semidirect
122. #16837285C22semidirect
123. #16837284C22semidirect
124. #16837284C22semidirect
127. #16837282C22semidirect
128. #16837282C22semidirect
129. #16837282C22semidirect
130. #16837282C22semidirect
131. #16837282C22semidirect
132. #16837281C22semidirect
133. #16837281C22semidirect
134. #16837281C22semidirect
135. #16837280C22semidirect
136. #16837280C22semidirect
137. #16837279C22semidirect
142. #16837278C22semidirect
143. #16837278C22semidirect
144. #16837278C22semidirect
145. #16837278C22semidirect
146. #16837278C22semidirect
147. #16837278C22semidirect
148. #16837278C22semidirect
149. #16837278C22semidirect
150. #16837278C22semidirect
151. #16837278C22semidirect
152. #16837278C22semidirect
153. #16837278C22semidirect
154. #16837277C22semidirect
155. #16837275C22semidirect
156. #16837274C22semidirect
157. #16837274C22semidirect
158. #16837274C22semidirect
159. #16837273C22semidirect
160. #16837273C22semidirect
161. #16837263C22semidirect
162. #16837263C22semidirect
163. #16837262C22semidirect
164. #16837262C22semidirect
165. #16837261C22semidirect
166. #16837261C22semidirect
167. #16837260C22semidirect
168. #16837260C22semidirect
169. #16837259C22semidirect
170. #16837259C22semidirect
171. #16837258C22semidirect
172. C2×C59⋊#95C22semidirect
173. C2×C59⋊#95C22semidirect
178. C2×#120×C59C22semidirect
180. C59×#394C22semidirect
181. C59×#394C22semidirect
182. C59×#392C22semidirect
183. C59×#392C22semidirect
186. C59×#386C22semidirect
187. C59×#385C22semidirect
188. C59×#379C22semidirect
198. C22×C22⋊D59D4semidirect
975. #2410D59semidirect
1034. C2×#120C2×D59semidirect
1074. #394C2×D59semidirect
1075. #394C2×D59semidirect
1086. #392C2×D59semidirect
1087. #392C2×D59semidirect
1127. #386C2×D59semidirect
1135. #385C2×D59semidirect
1147. #379C2×D59semidirect
1150. C59#36737semidirect

Maximal subgroups

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

subgroupindex
C2×#168379672
C2×#168379612
#214323772
#214323752
#214309352
#214308272
#214308182
#214308142
#214305382
#214305342
#214305082
#214305042
#214304762
#214303682
#214303642
#214303382
#214303342
#214303102
#214303042
#214303002
#214298362
#214298322
#214285382
#214277022
#214274932
#214274862
#214274702
C2×#168372782
C59×#24102
#3673759