Finite Group Databasebeta

← D59×#2589 #28758980

Subgroups — D59×#2589 #28758980

Order 15104.

2334 conjugacy classes of subgroups.

The subgroup lattice has 1504 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21429554C211yesmaximal, characteristic, complemented
2#21429553C211yesmaximal, characteristic, complemented
3#21429552C211yesmaximal, characteristic, complemented
4#21429551C211yesmaximal, characteristic, complemented
5#21429550C211yesmaximal, characteristic, complemented
6#21429549C211yesmaximal, characteristic, complemented
7#21429548C211yesmaximal, characteristic, complemented
8#21429547C211yesmaximal, characteristic, complemented
9#21429546C211yesmaximal, characteristic, complemented
10#21429545C211yesmaximal, characteristic, complemented
11#21429544C211yesmaximal, characteristic, complemented
12#21429543C211yesmaximal, characteristic, complemented
13#21429542C211yesmaximal, characteristic, complemented
14#21429541C211yesmaximal, characteristic, complemented
15#21429540C211yesmaximal, characteristic, complemented
16#400×D59C211yesmaximal, characteristic, complemented
17#399×D59C211yesmaximal, characteristic
18#398×D59C211yesmaximal, characteristic, complemented
19#393×D59C211yesmaximal, characteristic
20#391×D59C211yesmaximal, characteristic, complemented
21#391×D59C211yesmaximal, characteristic, complemented
22#389×D59C211yesmaximal, characteristic, complemented
23#388×D59C211yesmaximal, characteristic
24#388×D59C211yesmaximal, characteristic
25#387×D59C211yesmaximal, characteristic, complemented
26#387×D59C211yesmaximal, characteristic, complemented
27#385×D59C211yesmaximal, characteristic
28#385×D59C211yesmaximal, characteristic
29C4×C4⋊C4×D59C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D59C211yesmaximal, characteristic
31C59×#2589C211yesmaximal, characteristic, complemented
32C22×Q8×D59C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34C2×C4⋊C4×D59C2211yescharacteristic
35C2×C4⋊C4×D59C2211yescharacteristic
36C2×C4⋊C4×D59C2211yescharacteristic
37C2×C4⋊C4×D59C2211yescharacteristic
38C2×C4⋊C4×D59C2211yescharacteristic
39C2×C4⋊C4×D59C2211yescharacteristic
40C2×C4⋊C4×D59C2211yescharacteristic
41C2×C4⋊C4×D59C2211yescharacteristic
42C2×C4⋊C4×D59C2211yescharacteristic
43C2×C22⋊C4×D59C2211yescharacteristic
44C2×C22⋊C4×D59C2211yescharacteristic
45C2×C22⋊C4×D59C2211yescharacteristic
46C2×C22⋊C4×D59C2211yescharacteristic
47C2×C22⋊C4×D59C2211yescharacteristic
48C2×C22⋊C4×D59C2211yescharacteristic
49C2×C42×D59C2211yescharacteristic
50C2×C42×D59C2211yescharacteristic
51C2×C42×D59C2211yescharacteristic
52C2×C42×D59C2211yescharacteristic
53#16837344C2211yescharacteristic, complemented
54#16837344C2211yescharacteristic, complemented
55#16837343C2211yescharacteristic, complemented
56#16837343C2211yescharacteristic, complemented
57#16837342C2211yescharacteristic, complemented
58#16837341C2211yescharacteristic, complemented
59#16837340C2211yescharacteristic, complemented
60#16837339C2211yescharacteristic
61#16837338C2211yescharacteristic
62#16837338C2211yescharacteristic
63#16837338C2211yescharacteristic
64#16837337C2211yescharacteristic
65#16837337C2211yescharacteristic
66#16837337C2211yescharacteristic
67#16837336C2211yescharacteristic, complemented
68#16837336C2211yescharacteristic, complemented
69#16837335C2211yescharacteristic, complemented
70#16837335C2211yescharacteristic, complemented
71#16837334C2211yescharacteristic, complemented
72#16837333C2211yescharacteristic, complemented
73#16837332C2211yescharacteristic, complemented
74#16837315C2211yescharacteristic
75#16837315C2211yescharacteristic
76#16837315C2211yescharacteristic
77#16837314C2211yescharacteristic
78#16837314C2211yescharacteristic
79#16837314C2211yescharacteristic
80#16837313C2211yescharacteristic
81#16837309C2211yescharacteristic, complemented
82#16837309C2211yescharacteristic, complemented
83#16837308C2211yescharacteristic, complemented
84#16837308C2211yescharacteristic, complemented
85#16837307C2211yescharacteristic, complemented
86#16837307C2211yescharacteristic, complemented
87#16837306C2211yescharacteristic, complemented
88#16837306C2211yescharacteristic, complemented
89#16837306C2211yescharacteristic, complemented
90#16837306C2211yescharacteristic, complemented
91#16837306C2211yescharacteristic, complemented
92#16837306C2211yescharacteristic, complemented
93#16837306C2211yescharacteristic, complemented
94#16837306C2211yescharacteristic, complemented
95#16837301C2211yescharacteristic, complemented
96#16837300C2211yescharacteristic, complemented
97#16837299C2211yescharacteristic, complemented
98#16837299C2211yescharacteristic, complemented
99#16837298C2211yescharacteristic, complemented
100#16837297C2211yescharacteristic, complemented
101#16837297C2211yescharacteristic, complemented
102#16837296C2211yescharacteristic
103#16837296C2211yescharacteristic
104#16837295C2211yescharacteristic
105#16837295C2211yescharacteristic
106#16837294C2211yescharacteristic
107#16837294C2211yescharacteristic
108#16837293C2211yescharacteristic
109#16837293C2211yescharacteristic
110#16837292C2211yescharacteristic
111#16837292C2211yescharacteristic
112#16837291C2211yescharacteristic
113#16837291C2211yescharacteristic
114#16837290C2211yescharacteristic
115#16837290C2211yescharacteristic
116#16837289C2211yescharacteristic, complemented
117#16837289C2211yescharacteristic, complemented
118#16837288C2211yescharacteristic, complemented
119#16837288C2211yescharacteristic, complemented
120#16837287C2211yescharacteristic, complemented
121#16837287C2211yescharacteristic, complemented
122#16837286C2211yescharacteristic, complemented
123#16837286C2211yescharacteristic, complemented
124#16837285C2211yescharacteristic, complemented
125#16837285C2211yescharacteristic, complemented
126#16837284C2211yescharacteristic, complemented
127#16837284C2211yescharacteristic, complemented
128#16837283C2211yescharacteristic, complemented
129#16837283C2211yescharacteristic, complemented
130#16837277C2211yescharacteristic
131#16837277C2211yescharacteristic
132#16837276C2211yescharacteristic
133#16837276C2211yescharacteristic
134#16837276C2211yescharacteristic
135#16837276C2211yescharacteristic
136#16837275C2211yescharacteristic
137#16837275C2211yescharacteristic
138#16837274C2211yescharacteristic
139#16837274C2211yescharacteristic
140#16837273C2211yescharacteristic
141#16837273C2211yescharacteristic
142#16837273C2211yescharacteristic
143#16837273C2211yescharacteristic
144C4⋊C4×Dic59C2211yescharacteristic, complemented
145C4⋊C4×Dic59C2211yescharacteristic, complemented
146C4×Dic59⋊C4C2211yescharacteristic, complemented
147C4×Dic59⋊C4C2211yescharacteristic, complemented
148C4×C4⋊Dic59C2211yescharacteristic, complemented
149#16837253C2211yescharacteristic, complemented
150#16837253C2211yescharacteristic, complemented
151C22⋊C4×Dic59C2211yescharacteristic
152C22⋊C4×Dic59C2211yescharacteristic
153C4×(C2×D59)⋊C4C2211yescharacteristic
154C4×(C2×D59)⋊C4C2211yescharacteristic
155C4×C22⋊Dic59C2211yescharacteristic
156#16837249C2211yescharacteristic
157#16837249C2211yescharacteristic
158#95×D59C2211yescharacteristic
159#95×D59C2211yescharacteristic
160#95×D59C2211yescharacteristic
161#95×D59C2211yescharacteristic
162#95×D59C2211yescharacteristic
163#95×D59C2211yescharacteristic
164#95×D59C2211yescharacteristic
165#95×D59C2211yescharacteristic
166#95×D59C2211yescharacteristic
167#95×D59C2211yescharacteristic
168#95×D59C2211yescharacteristic
169#95×D59C2211yescharacteristic
170#95×D59C2211yescharacteristic
171#95×D59C2211yescharacteristic
172C59×#400C2211yescharacteristic, complemented
173C59×#399C2211yescharacteristic
174C59×#398C2211yescharacteristic, complemented
175C59×#393C2211yescharacteristic
176C59×#391C2211yescharacteristic, complemented
177C59×#391C2211yescharacteristic, complemented
178C59×#389C2211yescharacteristic, complemented
179C59×#388C2211yescharacteristic
180C59×#388C2211yescharacteristic
181C59×#387C2211yescharacteristic, complemented
182C59×#387C2211yescharacteristic, complemented
183C59×#385C2211yescharacteristic
184C59×#385C2211yescharacteristic
185C4×C4⋊C4×C59C2211yescharacteristic, complemented
186C4×C22⋊C4×C59C2211yescharacteristic
187C24×D59C2311yescharacteristic
188C22×Dic118C2311yescharacteristic
189C22×Dic118C2311yescharacteristic
190C22×Dic118C2311yescharacteristic
191C2×Q8×D59—24no—
192C2×Q8×D59—24no—
193C2×Q8×D59—42no—
194C23×Dic59C2311yescharacteristic
195C22×C4×D59—24no—
196C22×C4×D59—42no—
197C22×C4×D59—42no—
198C22×C4×D59C2311yescharacteristic
199C22×C4×D59C2311yescharacteristic
200C22×C4×D59C2311yescharacteristic
201C22×C4×D59C2311yescharacteristic
202C22×C4×D59C2311yescharacteristic
203C22×C4×D59C2311yescharacteristic
204C22×C4×D59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214C2×C4⋊Dic59C2311yescharacteristic
215C2×C4⋊Dic59C2311yescharacteristic
216C2×C4⋊Dic59C2311yescharacteristic
217C2×C4⋊Dic59C2311yescharacteristic
218C2×C4⋊Dic59C2311yescharacteristic
219C2×C4⋊Dic59C2311yescharacteristic
220C2×C4⋊Dic59C2311yescharacteristic
221C2×C4⋊Dic59C2311yescharacteristic
222C2×C4⋊Dic59C2311yescharacteristic
223C2×Dic59⋊C4C2311yescharacteristic
224C2×Dic59⋊C4C2311yescharacteristic
225C2×Dic59⋊C4C2311yescharacteristic
226C2×Dic59⋊C4C2311yescharacteristic
227C2×Dic59⋊C4C2311yescharacteristic
228C2×Dic59⋊C4C2311yescharacteristic
229C2×Dic59⋊C4C2311yescharacteristic
230C2×Dic59⋊C4C2311yescharacteristic
231C2×Dic59⋊C4C2311yescharacteristic
232C2×Dic59⋊C4C2311yescharacteristic
233C2×Dic59⋊C4C2311yescharacteristic
234C2×Dic59⋊C4C2311yescharacteristic
235C2×Dic59⋊C4C2311yescharacteristic
236C2×Dic59⋊C4C2311yescharacteristic
237C2×Dic59⋊C4C2311yescharacteristic
238C2×Dic59⋊C4C2311yescharacteristic
239C2×Dic59⋊C4C2311yescharacteristic
240C2×Dic59⋊C4C2311yescharacteristic
241C4⋊C4×D59—24no—
242C4⋊C4×D59—24no—
243C4⋊C4×D59—24no—
244C4⋊C4×D59—24no—
245C4⋊C4×D59—24no—
246C4⋊C4×D59—42no—
247C4⋊C4×D59—42no—
248C4⋊C4×D59—42no—
249C4⋊C4×D59—42no—
250C2×C22⋊Dic59C2311yescharacteristic
251C2×C22⋊Dic59C2311yescharacteristic
252C2×C22⋊Dic59C2311yescharacteristic
253C2×C22⋊Dic59C2311yescharacteristic
254C2×C22⋊Dic59C2311yescharacteristic
255C2×C22⋊Dic59C2311yescharacteristic
256C2×(C2×D59)⋊C4C2311yescharacteristic
257C2×(C2×D59)⋊C4C2311yescharacteristic
258C2×(C2×D59)⋊C4C2311yescharacteristic
259C2×(C2×D59)⋊C4C2311yescharacteristic
260C2×(C2×D59)⋊C4C2311yescharacteristic
261C2×(C2×D59)⋊C4C2311yescharacteristic
262C2×(C2×D59)⋊C4C2311yescharacteristic
263C2×(C2×D59)⋊C4C2311yescharacteristic
264C2×(C2×D59)⋊C4C2311yescharacteristic
265C2×(C2×D59)⋊C4C2311yescharacteristic
266C2×(C2×D59)⋊C4C2311yescharacteristic
267C2×(C2×D59)⋊C4C2311yescharacteristic
268C22⋊C4×D59—24no—
269C22⋊C4×D59—24no—
270C22⋊C4×D59—24no—
271C22⋊C4×D59—42no—
272C22⋊C4×D59—42no—
273C22⋊C4×D59Q818yescomplemented
274C2×C4×Dic59C2311yescharacteristic
275C2×C4×Dic59C2311yescharacteristic
276C2×C4×Dic59C2311yescharacteristic
277C2×C4×Dic59C2311yescharacteristic
278C2×C4×Dic59C2311yescharacteristic
279C2×C4×Dic59C2311yescharacteristic
280C2×C4×Dic59C2311yescharacteristic
281C2×C4×Dic59C2311yescharacteristic
282C2×C4×Dic59C2311yescharacteristic
283C2×C4×Dic59C2311yescharacteristic
284C2×C4×Dic59C2311yescharacteristic
285C2×C4×Dic59C2311yescharacteristic
286C42×D59—24no—
287C42×D59—42no—
288C42×D59—42no—
289C42×D59—42no—
290C59⋊#95C2311yescharacteristic
291C59⋊#95C2311yescharacteristic
292C59⋊#95C2311yescharacteristic
293C59⋊#95C2311yescharacteristic
294C59⋊#95C2311yescharacteristic
295C59⋊#95C2311yescharacteristic
296C59⋊#95C2311yescharacteristic
297C59⋊#95C2311yescharacteristic
298C59⋊#95C2311yescharacteristic
299C59⋊#95C2311yescharacteristic
300C59⋊#95C2311yescharacteristic
301C59⋊#95C2311yescharacteristic
302C59⋊#95C2311yescharacteristic
303C59⋊#95C2311yescharacteristic
304C59⋊#95C2311yescharacteristic
305C59⋊#95C2311yescharacteristic
306C59⋊#95C2311yescharacteristic
307C59⋊#95C2311yescharacteristic
308C59⋊#95C2311yescharacteristic
309C59⋊#95C2311yescharacteristic
310C59⋊#95C2311yescharacteristic
311C59⋊#95C2311yescharacteristic
312C59⋊#95C2311yescharacteristic
313C59⋊#95C2311yescharacteristic
314C59⋊#95C2311yescharacteristic
315C59⋊#95C2311yescharacteristic
316C59⋊#95C2311yescharacteristic
317C59⋊#95C2311yescharacteristic
318C59⋊#95C2311yescharacteristic
319C59⋊#95C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C22×Q8×C59C2311yescharacteristic
333C23×C4×C59C2311yescharacteristic
334C2×C4⋊C4×C59C2311yescharacteristic
335C2×C4⋊C4×C59C2311yescharacteristic
336C2×C4⋊C4×C59C2311yescharacteristic
337C2×C4⋊C4×C59C2311yescharacteristic
338C2×C4⋊C4×C59C2311yescharacteristic
339C2×C4⋊C4×C59C2311yescharacteristic
340C2×C4⋊C4×C59C2311yescharacteristic
341C2×C4⋊C4×C59C2311yescharacteristic
342C2×C4⋊C4×C59C2311yescharacteristic
343C2×C22⋊C4×C59C2311yescharacteristic
344C2×C22⋊C4×C59C2311yescharacteristic
345C2×C22⋊C4×C59C2311yescharacteristic
346C2×C22⋊C4×C59C2311yescharacteristic
347C2×C22⋊C4×C59C2311yescharacteristic
348C2×C22⋊C4×C59C2311yescharacteristic
349C2×C42×C59C2311yescharacteristic
350C2×C42×C59C2311yescharacteristic
351C2×C42×C59C2311yescharacteristic
352C2×C42×C59C2311yescharacteristic
353#95×C59C2311yescharacteristic
354#95×C59C2311yescharacteristic
355#95×C59C2311yescharacteristic
356#95×C59C2311yescharacteristic
357#95×C59C2311yescharacteristic
358#95×C59C2311yescharacteristic
359#95×C59C2311yescharacteristic
360#95×C59C2311yescharacteristic
361#95×C59C2311yescharacteristic
362#95×C59C2311yescharacteristic
363#95×C59C2311yescharacteristic
364#95×C59C2311yescharacteristic
365#95×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367C24×C59C2411yescharacteristic
368C23×D59—22no—
369C23×D59—22no—
370C23×D59—22no—
371C23×D59—22no—
372C23×D59—22no—
373C23×D59—22no—
374C23×D59C2×Q814yes—
375C23×D59C2411yescharacteristic
376C23×D59C2411yescharacteristic
377C2×Q8×C59—22no—
378C2×Q8×C59—22no—
379C2×Q8×C59—41no—
380C22×C4×C59—22no—
381C22×C4×C59—41no—
382C22×C4×C59—41no—
383C22×C4×C59C2411yescharacteristic
384C22×C4×C59C2411yescharacteristic
385C22×C4×C59C2411yescharacteristic
386C22×C4×C59C2411yescharacteristic
387C22×C4×C59C2411yescharacteristic
388C22×C4×C59C2411yescharacteristic
389C22×C4×C59C2411yescharacteristic
390C22×C4×C59C2411yescharacteristic
391C22×C4×C59C2411yescharacteristic
392C22×C4×C59C2411yescharacteristic
393C22×C4×C59C2411yescharacteristic
394C22×C4×C59C2411yescharacteristic
395C22×C4×C59C2411yescharacteristic
396C22×C4×C59C2411yescharacteristic
397C22×Dic59—22no—
398C22×Dic59—41no—
399C22×Dic59—41no—
400C22×Dic59C2411yescharacteristic
401C22×Dic59C2411yescharacteristic
402C22×Dic59C2411yescharacteristic
403C22×Dic59C2411yescharacteristic
404C22×Dic59C2411yescharacteristic
405C22×Dic59C2411yescharacteristic
406C22×Dic59C2411yescharacteristic
407C22×Dic59C2411yescharacteristic
408C22×Dic59C2411yescharacteristic
409C22×Dic59C2411yescharacteristic
410C22×Dic59C2411yescharacteristic
411C22×Dic59C2411yescharacteristic
412C22×Dic59C2411yescharacteristic
413C22×Dic59C2411yescharacteristic
414Q8×D59—416no—
415C2×C4×D59—22no—
416C2×C4×D59—22no—
417C2×C4×D59—22no—
418C2×C4×D59—22no—
419C2×C4×D59—22no—
420C2×C4×D59—22no—
421C2×C4×D59—22no—
422C2×C4×D59—22no—
423C2×C4×D59—22no—
424C2×C4×D59—22no—
425C2×C4×D59—22no—
426C2×C4×D59—22no—
427C2×C4×D59—22no—
428C2×C4×D59—22no—
429C2×C4×D59—22no—
430C2×C4×D59—22no—
431C2×C4×D59—22no—
432C2×C4×D59—22no—
433C2×C4×D59—22no—
434C2×C4×D59—22no—
435C2×C4×D59—22no—
436C2×C4×D59—22no—
437C2×C4×D59—22no—
438C2×C4×D59—22no—
439C2×C4×D59—22no—
440C2×C4×D59—22no—
441C2×C4×D59—22no—
442C2×C4×D59—22no—
443C2×C4×D59—22no—
444C2×C4×D59—22no—
445C2×C4×D59—22no—
446C2×C4×D59—22no—
447C2×C4×D59—22no—
448C2×C4×D59—22no—
449C2×C4×D59—22no—
450C2×C4×D59—22no—
451C2×C4×D59—22no—
452C2×C4×D59—22no—
453C2×C4×D59—416no—
454C2×C4×D59—41no—
455C2×C4×D59—41no—
456C2×C4×D59—41no—
457C2×C4×D59—41no—
458C2×C4×D59C2×Q814yes—
459C2×C4×D59C2×Q814yes—
460C2×C4×D59#4114yes—
461C2×C4×D59#4114yes—
462C2×C4×D59#4114yes—
463C2×C4×D59#4114yes—
464C2×Dic118—22no—
465C2×Dic118—22no—
466C2×Dic118—22no—
467C2×Dic118—22no—
468C2×Dic118—22no—
469C2×Dic118—22no—
470C2×Dic118—41no—
471C2×Dic118—41no—
472C2×Dic118—41no—
473C4⋊C4×C59—22no—
474C4⋊C4×C59—22no—
475C4⋊C4×C59—22no—
476C4⋊C4×C59—22no—
477C4⋊C4×C59—22no—
478C4⋊C4×C59—41no—
479C4⋊C4×C59—41no—
480C4⋊C4×C59—41no—
481C4⋊C4×C59—41no—
482C22⋊C4×C59—22no—
483C22⋊C4×C59—22no—
484C22⋊C4×C59—22no—
485C22⋊C4×C59—41no—
486C22⋊C4×C59—41no—
487C22⋊C4×C59C2×Q814yescomplemented
488C42×C59—22no—
489C42×C59—41no—
490C42×C59—41no—
491C42×C59—41no—
492C22⋊Dic59—22no—
493C22⋊Dic59—22no—
494C22⋊Dic59—22no—
495C22⋊Dic59—41no—
496C22⋊Dic59—41no—
497C22⋊Dic59C2×Q814yescomplemented
498(C2×D59)⋊C4—22no—
499(C2×D59)⋊C4—22no—
500(C2×D59)⋊C4—22no—
501(C2×D59)⋊C4—22no—
502(C2×D59)⋊C4—22no—
503(C2×D59)⋊C4—22no—
504(C2×D59)⋊C4—41no—
505(C2×D59)⋊C4—41no—
506(C2×D59)⋊C4—41no—
507(C2×D59)⋊C4—41no—
508(C2×D59)⋊C4C2×Q814yescomplemented
509(C2×D59)⋊C4C2×Q814yescomplemented
510C4⋊Dic59—22no—
511C4⋊Dic59—22no—
512C4⋊Dic59—22no—
513C4⋊Dic59—22no—
514C4⋊Dic59—22no—
515C4⋊Dic59—41no—
516C4⋊Dic59—41no—
517C4⋊Dic59—41no—
518C4⋊Dic59—41no—
519Dic59⋊C4—22no—
520Dic59⋊C4—22no—
521Dic59⋊C4—22no—
522Dic59⋊C4—22no—
523Dic59⋊C4—22no—
524Dic59⋊C4—22no—
525Dic59⋊C4—22no—
526Dic59⋊C4—22no—
527Dic59⋊C4—22no—
528Dic59⋊C4—22no—
529Dic59⋊C4—41no—
530Dic59⋊C4—41no—
531Dic59⋊C4—41no—
532Dic59⋊C4—41no—
533Dic59⋊C4—41no—
534Dic59⋊C4—41no—
535Dic59⋊C4—41no—
536Dic59⋊C4—41no—
537C4×Dic59—22no—
538C4×Dic59—22no—
539C4×Dic59—22no—
540C4×Dic59—41no—
541C4×Dic59—41no—
542C4×Dic59—41no—
543C4×Dic59—41no—
544C4×Dic59—41no—
545C4×Dic59—41no—
546C4×Dic59—41no—
547C4×Dic59—41no—
548C4×Dic59—41no—
549C23×C59—21no—
550C23×C59—21no—
551C23×C59—21no—
552C23×C59—21no—
553C23×C59—21no—
554C23×C59—21no—
555C23×C59C22×Q812yes—
556C23×C59C2511yescharacteristic
557C22×D59—21no—
558C22×D59—21no—
559C22×D59—21no—
560C22×D59—21no—
561C22×D59—21no—
562C22×D59—21no—
563C22×D59—28no—
564C22×D59—28no—
565C22×D59—28no—
566C22×D59—44no—
567C22×D59—44no—
568C22×D59—44no—
569C22×D59—44no—
570C22×D59C22×Q812yes—
571C22×D59C22×Q812yes—
572C22×D59C2×#4112yes—
573C22×D59C2×#4112yes—
574C22×D59C2×#4112yes—
575C22×D59C2×#4112yes—
576C22×D59H(5,𝔽2)12yes—
577C22×D59H(5,𝔽2)12yes—
578Q8×C59—44no—
579C2×C4×C59—21no—
580C2×C4×C59—21no—
581C2×C4×C59—21no—
582C2×C4×C59—21no—
583C2×C4×C59—21no—
584C2×C4×C59—21no—
585C2×C4×C59—21no—
586C2×C4×C59—21no—
587C2×C4×C59—21no—
588C2×C4×C59—21no—
589C2×C4×C59—21no—
590C2×C4×C59—21no—
591C2×C4×C59—21no—
592C2×C4×C59—21no—
593C2×C4×C59—21no—
594C2×C4×C59—21no—
595C2×C4×C59—21no—
596C2×C4×C59—21no—
597C2×C4×C59—21no—
598C2×C4×C59—21no—
599C2×C4×C59—21no—
600C2×C4×C59—21no—
601C2×C4×C59—21no—
602C2×C4×C59—21no—
603C2×C4×C59—21no—
604C2×C4×C59—21no—
605C2×C4×C59—21no—
606C2×C4×C59—21no—
607C2×C4×C59—21no—
608C2×C4×C59—21no—
609C2×C4×C59—21no—
610C2×C4×C59—21no—
611C2×C4×C59—21no—
612C2×C4×C59—21no—
613C2×C4×C59—21no—
614C2×C4×C59—21no—
615C2×C4×C59—44no—
616C2×C4×C59C22×Q812yes—
617C2×C4×C59C22×Q812yes—
618C2×C4×C59C2×#4112yes—
619C2×C4×C59C2×#4112yes—
620C2×C4×C59C2×#4112yes—
621C2×C4×C59C2×#4112yes—
622C2×Dic59—21no—
623C2×Dic59—21no—
624C2×Dic59—21no—
625C2×Dic59—21no—
626C2×Dic59—21no—
627C2×Dic59—21no—
628C2×Dic59—21no—
629C2×Dic59—21no—
630C2×Dic59—21no—
631C2×Dic59—21no—
632C2×Dic59—21no—
633C2×Dic59—21no—
634C2×Dic59—21no—
635C2×Dic59—21no—
636C2×Dic59—21no—
637C2×Dic59—21no—
638C2×Dic59—21no—
639C2×Dic59—21no—
640C2×Dic59—21no—
641C2×Dic59—21no—
642C2×Dic59—21no—
643C2×Dic59—21no—
644C2×Dic59—21no—
645C2×Dic59—21no—
646C2×Dic59—21no—
647C2×Dic59—21no—
648C2×Dic59—21no—
649C2×Dic59—21no—
650C2×Dic59—21no—
651C2×Dic59—21no—
652C2×Dic59—21no—
653C2×Dic59—21no—
654C2×Dic59—21no—
655C2×Dic59—21no—
656C2×Dic59—21no—
657C2×Dic59—21no—
658C2×Dic59—44no—
659C2×Dic59C22×Q812yes—
660C2×Dic59C22×Q812yes—
661C2×Dic59C2×#4112yes—
662C2×Dic59C2×#4112yes—
663C2×Dic59C2×#4112yes—
664C2×Dic59C2×#4112yes—
665C4×D59—28no—
666C4×D59—28no—
667C4×D59—28no—
668C4×D59—28no—
669C4×D59—28no—
670C4×D59—28no—
671C4×D59—44no—
672C4×D59—44no—
673C4×D59—44no—
674C4×D59—44no—
675C4×D59—44no—
676C4×D59—44no—
677C4×D59—44no—
678C4×D59—44no—
679C4×D59—44no—
680C4×D59—44no—
681Dic118—44no—
682Dic118—44no—
683Dic118—44no—
684C2×#2589—591nomaximal, Sylow
685C22×C59—22no—
686C22×C59—22no—
687C22×C59—22no—
688C22×C59—41no—
689C22×C59—41no—
690C22×C59—41no—
691C22×C59—41no—
692C22×C59C23×Q811yescharacteristic
693C22×C59C22×#4111yescharacteristic
694C22×C59C22×#4111yescharacteristic
695C22×C59C22×#4111yescharacteristic
696C22×C59C22×#4111yescharacteristic
697C22×C59C2×H(5,𝔽2)11yescharacteristic
698C22×C59C2×H(5,𝔽2)11yescharacteristic
699C2×D59—22no—
700C2×D59—22no—
701C2×D59—22no—
702C2×D59—41no—
703C2×D59—41no—
704C2×D59—41no—
705C2×D59—41no—
706C2×D59—416no—
707C2×D59#52914yes—
708C2×D59#53314yes—
709C2×D59#53814yes—
710C2×D59#55114yes—
711C2×D59#55414yes—
712C2×D59#55414yes—
713C2×D59#55914yes—
714C4×C59—22no—
715C4×C59—22no—
716C4×C59—22no—
717C4×C59—22no—
718C4×C59—22no—
719C4×C59—22no—
720C4×C59—41no—
721C4×C59—41no—
722C4×C59—41no—
723C4×C59—41no—
724C4×C59—41no—
725C4×C59—41no—
726C4×C59—41no—
727C4×C59—41no—
728Dic59—22no—
729Dic59—22no—
730Dic59—22no—
731Dic59—22no—
732Dic59—22no—
733Dic59—22no—
734Dic59—41no—
735Dic59—41no—
736Dic59—41no—
737Dic59—41no—
738Dic59—41no—
739Dic59—41no—
740Dic59—41no—
741Dic59—41no—
742#2589—591no—
743#2589—591no—
744#2589—591no—
745#2589—591no—
746#2589—591no—
747#2589—591no—
748#2589—591no—
749#2589—591no—
750#2589—591no—
751#2589—591no—
752#2589—591no—
753#2589—591no—
754#2589—591no—
755#2589—591no—
756#2589—591no—
757#2589D5911yescharacteristic, direct product factor
758C2×#400—591no—
759C2×#399—591no—
760C2×#398—591no—
761C2×#393—591no—
762C2×#391—591no—
763C2×#391—591no—
764C2×#389—591no—
765C2×#388—591no—
766C2×#388—591no—
767C2×#387—591no—
768C2×#387—591no—
769C2×#385—591no—
770C2×#385—591no—
771C2×C4×C4⋊C4—591no—
772C2×C4×C22⋊C4—591no—
773C2×C59—42no—
774C2×C59C2×#52911yescharacteristic
775C2×C59C2×#53311yescharacteristic
776C2×C59C2×#53811yescharacteristic
777C2×C59C2×#55111yescharacteristic
778C2×C59C2×#55411yescharacteristic
779C2×C59C2×#55411yescharacteristic
780C2×C59C2×#55911yescharacteristic
781D59—42no—
782D59#258918yesdirect product factor
783C23×Q8—591no—
784C24×C4—591no—
785C22×C4⋊C4—591no—
786C22×C4⋊C4—591no—
787C22×C4⋊C4—591no—
788C22×C4⋊C4—591no—
789C22×C4⋊C4—591no—
790C22×C4⋊C4—591no—
791C22×C4⋊C4—591no—
792C22×C4⋊C4—591no—
793C22×C4⋊C4—591no—
794C22×C22⋊C4—591no—
795C22×C22⋊C4—591no—
796C22×C22⋊C4—591no—
797C22×C22⋊C4—591no—
798C22×C22⋊C4—591no—
799C22×C22⋊C4—591no—
800C22×C42—591no—
801C22×C42—591no—
802C22×C42—591no—
803C22×C42—591no—
804#400—591no—
805#400—591no—
806#400—591no—
807#400—591no—
808#400—591no—
809#400—591no—
810#400—591no—
811#400C2×D5911yescharacteristic, complemented
812#399—591no—
813#399—591no—
814#399—591no—
815#399—591no—
816#399—591no—
817#399—591no—
818#399—591no—
819#399C2×D5911yescharacteristic
820#398—591no—
821#398—591no—
822#398—591no—
823#398—591no—
824#398—591no—
825#398—591no—
826#398—591no—
827#398C2×D5911yescharacteristic, complemented
828#393—591no—
829#393—591no—
830#393—591no—
831#393—591no—
832#393—591no—
833#393—591no—
834#393—591no—
835#393C2×D5911yescharacteristic
836#391—591no—
837#391—591no—
838#391—591no—
839#391—591no—
840#391—591no—
841#391—591no—
842#391—591no—
843#391—591no—
844#391—591no—
845#391—591no—
846#391—591no—
847#391—591no—
848#391—591no—
849#391—591no—
850#391C2×D5911yescharacteristic, complemented
851#391C2×D5911yescharacteristic, complemented
852#389—591no—
853#389—591no—
854#389—591no—
855#389—591no—
856#389—591no—
857#389—591no—
858#389—591no—
859#389C2×D5911yescharacteristic, complemented
860#388—591no—
861#388—591no—
862#388—591no—
863#388—591no—
864#388—591no—
865#388—591no—
866#388—591no—
867#388—591no—
868#388—591no—
869#388—591no—
870#388—591no—
871#388—591no—
872#388—591no—
873#388—591no—
874#388C2×D5911yescharacteristic
875#388C2×D5911yescharacteristic
876#387—591no—
877#387—591no—
878#387—591no—
879#387—591no—
880#387—591no—
881#387—591no—
882#387—591no—
883#387—591no—
884#387—591no—
885#387—591no—
886#387—591no—
887#387—591no—
888#387—591no—
889#387—591no—
890#387C2×D5911yescharacteristic, complemented
891#387C2×D5911yescharacteristic, complemented
892#385—591no—
893#385—591no—
894#385—591no—
895#385—591no—
896#385—591no—
897#385—591no—
898#385—591no—
899#385—591no—
900#385—591no—
901#385—591no—
902#385—591no—
903#385—591no—
904#385—591no—
905#385—591no—
906#385C2×D5911yescharacteristic
907#385C2×D5911yescharacteristic
908C4×C4⋊C4—591no—
909C4×C4⋊C4—591no—
910C4×C4⋊C4—591no—
911C4×C4⋊C4—591no—
912C4×C4⋊C4—591no—
913C4×C4⋊C4—591no—
914C4×C4⋊C4—591no—
915C4×C4⋊C4C2×D5911yescharacteristic, complemented
916C4×C22⋊C4—591no—
917C4×C22⋊C4—591no—
918C4×C22⋊C4—591no—
919C4×C22⋊C4—591no—
920C4×C22⋊C4—591no—
921C4×C22⋊C4—591no—
922C4×C22⋊C4—591no—
923C4×C22⋊C4C2×D5911yescharacteristic
924C2×#95—591no—
925C2×#95—591no—
926C2×#95—591no—
927C2×#95—591no—
928C2×#95—591no—
929C2×#95—591no—
930C2×#95—591no—
931C2×#95—591no—
932C2×#95—591no—
933C2×#95—591no—
934C2×#95—591no—
935C2×#95—591no—
936C2×#95—591no—
937C2×#95—591no—
938C59C2×#258911yescharacteristic, complemented, Sylow
939C25—591no—
940C22×Q8—591no—
941C22×Q8—591no—
942C22×Q8—591no—
943C22×Q8—1184no—
944C22×Q8—1184no—
945C22×Q8—2362no—
946C22×Q8C22×D5911yescharacteristic
947C23×C4—591no—
948C23×C4—591no—
949C23×C4—591no—
950C23×C4—591no—
951C23×C4—591no—
952C23×C4—591no—
953C23×C4—591no—
954C23×C4—591no—
955C23×C4—591no—
956C23×C4—591no—
957C23×C4—591no—
958C23×C4—591no—
959C23×C4—591no—
960C23×C4—591no—
961C23×C4—591no—
962C23×C4—591no—
963C23×C4—591no—
964C23×C4—1184no—
965C23×C4—2362no—
966C23×C4—2362no—
967C23×C4C22×D5911yescharacteristic
968C2×C4⋊C4—591no—
969C2×C4⋊C4—591no—
970C2×C4⋊C4—591no—
971C2×C4⋊C4—591no—
972C2×C4⋊C4—591no—
973C2×C4⋊C4—591no—
974C2×C4⋊C4—591no—
975C2×C4⋊C4—591no—
976C2×C4⋊C4—591no—
977C2×C4⋊C4—591no—
978C2×C4⋊C4—591no—
979C2×C4⋊C4—591no—
980C2×C4⋊C4—591no—
981C2×C4⋊C4—591no—
982C2×C4⋊C4—591no—
983C2×C4⋊C4—591no—
984C2×C4⋊C4—591no—
985C2×C4⋊C4—591no—
986C2×C4⋊C4—591no—
987C2×C4⋊C4—591no—
988C2×C4⋊C4—591no—
989C2×C4⋊C4—591no—
990C2×C4⋊C4—591no—
991C2×C4⋊C4—591no—
992C2×C4⋊C4—591no—
993C2×C4⋊C4—591no—
994C2×C4⋊C4—591no—
995C2×C4⋊C4—1184no—
996C2×C4⋊C4—1184no—
997C2×C4⋊C4—1184no—
998C2×C4⋊C4—1184no—
999C2×C4⋊C4—1184no—
1000C2×C4⋊C4—2362no—
1001C2×C4⋊C4—2362no—
1002C2×C4⋊C4—2362no—
1003C2×C4⋊C4—2362no—
1004C2×C4⋊C4C22×D5911yescharacteristic
1005C2×C4⋊C4C22×D5911yescharacteristic
1006C2×C4⋊C4C22×D5911yescharacteristic
1007C2×C4⋊C4C22×D5911yescharacteristic
1008C2×C4⋊C4C22×D5911yescharacteristic
1009C2×C4⋊C4C22×D5911yescharacteristic
1010C2×C4⋊C4C22×D5911yescharacteristic
1011C2×C4⋊C4C22×D5911yescharacteristic
1012C2×C4⋊C4C22×D5911yescharacteristic
1013C2×C22⋊C4—591no—
1014C2×C22⋊C4—591no—
1015C2×C22⋊C4—591no—
1016C2×C22⋊C4—598no—
1017C2×C22⋊C4—591no—
1018C2×C22⋊C4—591no—
1019C2×C22⋊C4—591no—
1020C2×C22⋊C4—591no—
1021C2×C22⋊C4—591no—
1022C2×C22⋊C4—591no—
1023C2×C22⋊C4—591no—
1024C2×C22⋊C4—591no—
1025C2×C22⋊C4—591no—
1026C2×C22⋊C4—591no—
1027C2×C22⋊C4—591no—
1028C2×C22⋊C4—591no—
1029C2×C22⋊C4—591no—
1030C2×C22⋊C4—591no—
1031C2×C22⋊C4—591no—
1032C2×C22⋊C4—1184no—
1033C2×C22⋊C4—1184no—
1034C2×C22⋊C4—1184no—
1035C2×C22⋊C4—2362no—
1036C2×C22⋊C4—2362no—
1037C2×C22⋊C4C22×D5911yescharacteristic
1038C2×C22⋊C4C22×D5911yescharacteristic
1039C2×C22⋊C4C22×D5911yescharacteristic
1040C2×C22⋊C4C22×D5911yescharacteristic
1041C2×C22⋊C4C22×D5911yescharacteristic
1042C2×C22⋊C4C22×D5911yescharacteristic
1043C2×C42—591no—
1044C2×C42—591no—
1045C2×C42—591no—
1046C2×C42—591no—
1047C2×C42—591no—
1048C2×C42—591no—
1049C2×C42—591no—
1050C2×C42—591no—
1051C2×C42—591no—
1052C2×C42—591no—
1053C2×C42—591no—
1054C2×C42—591no—
1055C2×C42—1184no—
1056C2×C42—2362no—
1057C2×C42—2362no—
1058C2×C42—2362no—
1059C2×C42C22×D5911yescharacteristic
1060C2×C42C22×D5911yescharacteristic
1061C2×C42C22×D5911yescharacteristic
1062C2×C42C22×D5911yescharacteristic
1063#95—591no—
1064#95—591no—
1065#95—591no—
1066#95—591no—
1067#95—591no—
1068#95—591no—
1069#95—591no—
1070#95—591no—
1071#95—591no—
1072#95—591no—
1073#95—591no—
1074#95—591no—
1075#95—591no—
1076#95—591no—
1077#95—591no—
1078#95—591no—
1079#95—591no—
1080#95—591no—
1081#95—591no—
1082#95—591no—
1083#95—591no—
1084#95—591no—
1085#95—591no—
1086#95—591no—
1087#95—591no—
1088#95—591no—
1089#95—591no—
1090#95—591no—
1091#95—591no—
1092#95—591no—
1093#95—591no—
1094#95—591no—
1095#95—591no—
1096#95—591no—
1097#95—591no—
1098#95—591no—
1099#95—591no—
1100#95—591no—
1101#95—591no—
1102#95—591no—
1103#95—591no—
1104#95—591no—
1105#95C22×D5911yescharacteristic
1106#95C22×D5911yescharacteristic
1107#95C22×D5911yescharacteristic
1108#95C22×D5911yescharacteristic
1109#95C22×D5911yescharacteristic
1110#95C22×D5911yescharacteristic
1111#95C22×D5911yescharacteristic
1112#95C22×D5911yescharacteristic
1113#95C22×D5911yescharacteristic
1114#95C22×D5911yescharacteristic
1115#95C22×D5911yescharacteristic
1116#95C22×D5911yescharacteristic
1117#95C22×D5911yescharacteristic
1118#95C22×D5911yescharacteristic
1119C24—591no—
1120C24—594no—
1121C24—591no—
1122C24—1182no—
1123C24—1182no—
1124C24—1182no—
1125C24—1182no—
1126C24—1182no—
1127C24—1182no—
1128C24C23×D5911yescharacteristic
1129C2×Q8—22no—
1130C2×Q8—22no—
1131C2×Q8—41no—
1132C2×Q8—1182no—
1133C2×Q8—1182no—
1134C2×Q8—1182no—
1135C2×Q8—1182no—
1136C2×Q8—1182no—
1137C2×Q8—1182no—
1138C2×Q8—2361no—
1139C2×Q8—2361no—
1140C2×Q8—2361no—
1141C2×Q8—23616no—
1142C22×C4—22no—
1143C22×C4—41no—
1144C22×C4—41no—
1145C22×C4—591no—
1146C22×C4—591no—
1147C22×C4—591no—
1148C22×C4—591no—
1149C22×C4—591no—
1150C22×C4—591no—
1151C22×C4—594no—
1152C22×C4—594no—
1153C22×C4—594no—
1154C22×C4—594no—
1155C22×C4—594no—
1156C22×C4—594no—
1157C22×C4—591no—
1158C22×C4—591no—
1159C22×C4—591no—
1160C22×C4—591no—
1161C22×C4—591no—
1162C22×C4—591no—
1163C22×C4—591no—
1164C22×C4—591no—
1165C22×C4—1182no—
1166C22×C4—1182no—
1167C22×C4—1182no—
1168C22×C4—1182no—
1169C22×C4—1182no—
1170C22×C4—1182no—
1171C22×C4—1182no—
1172C22×C4—1182no—
1173C22×C4—1182no—
1174C22×C4—1182no—
1175C22×C4—1182no—
1176C22×C4—1182no—
1177C22×C4—1182no—
1178C22×C4—1182no—
1179C22×C4—1182no—
1180C22×C4—1182no—
1181C22×C4—1182no—
1182C22×C4—1182no—
1183C22×C4—1182no—
1184C22×C4—1182no—
1185C22×C4—1182no—
1186C22×C4—1182no—
1187C22×C4—1182no—
1188C22×C4—1182no—
1189C22×C4—1182no—
1190C22×C4—1182no—
1191C22×C4—1182no—
1192C22×C4—1182no—
1193C22×C4—1182no—
1194C22×C4—1182no—
1195C22×C4—1182no—
1196C22×C4—1182no—
1197C22×C4—1182no—
1198C22×C4—1182no—
1199C22×C4—1182no—
1200C22×C4—1182no—
1201C22×C4—1182no—
1202C22×C4—1182no—
1203C22×C4—1182no—
1204C22×C4—2361no—
1205C22×C4—2361no—
1206C22×C4—2361no—
1207C22×C4—2361no—
1208C22×C4—23616no—
1209C22×C4—2361no—
1210C22×C4—2361no—
1211C22×C4C23×D5911yescharacteristic
1212C22×C4C23×D5911yescharacteristic
1213C22×C4C23×D5911yescharacteristic
1214C22×C4C23×D5911yescharacteristic
1215C22×C4C23×D5911yescharacteristic
1216C22×C4C23×D5911yescharacteristic
1217C22×C4C23×D5911yescharacteristic
1218C22×C4C23×D5911yescharacteristic
1219C22×C4C23×D5911yescharacteristic
1220C22×C4C23×D5911yescharacteristic
1221C22×C4C23×D5911yescharacteristic
1222C22×C4C23×D5911yescharacteristic
1223C22×C4C23×D5911yescharacteristic
1224C22×C4C23×D5911yescharacteristic
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—1182no—
1235C4⋊C4—1182no—
1236C4⋊C4—1182no—
1237C4⋊C4—1182no—
1238C4⋊C4—1182no—
1239C4⋊C4—1182no—
1240C4⋊C4—1182no—
1241C4⋊C4—1182no—
1242C4⋊C4—1182no—
1243C4⋊C4—1182no—
1244C4⋊C4—1182no—
1245C4⋊C4—1182no—
1246C4⋊C4—1182no—
1247C4⋊C4—1182no—
1248C4⋊C4—1182no—
1249C4⋊C4—2361no—
1250C4⋊C4—2361no—
1251C4⋊C4—2361no—
1252C4⋊C4—2361no—
1253C4⋊C4—2361no—
1254C4⋊C4—2361no—
1255C4⋊C4—2361no—
1256C4⋊C4—2361no—
1257C4⋊C4—2361no—
1258C4⋊C4—2361no—
1259C4⋊C4—2361no—
1260C4⋊C4—2361no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C22⋊C4—594no—
1267C22⋊C4—594no—
1268C22⋊C4—594no—
1269C22⋊C4—1182no—
1270C22⋊C4—1182no—
1271C22⋊C4—1182no—
1272C22⋊C4—1182no—
1273C22⋊C4—1182no—
1274C22⋊C4—1182no—
1275C22⋊C4—1182no—
1276C22⋊C4—1182no—
1277C22⋊C4—1182no—
1278C22⋊C4—2361no—
1279C22⋊C4—2361no—
1280C22⋊C4—2361no—
1281C22⋊C4—2361no—
1282C22⋊C4—2361no—
1283C22⋊C4—2361no—
1284C22⋊C4Q8×D5914yescomplemented
1285C42—22no—
1286C42—41no—
1287C42—41no—
1288C42—41no—
1289C42—1182no—
1290C42—1182no—
1291C42—1182no—
1292C42—2361no—
1293C42—2361no—
1294C42—2361no—
1295C42—2361no—
1296C42—2361no—
1297C42—2361no—
1298C42—2361no—
1299C42—2361no—
1300C42—2361no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—592no—
1308C23—592no—
1309C23—592no—
1310C23—592no—
1311C23—592no—
1312C23—592no—
1313C23—592no—
1314C23—592no—
1315C23—1188no—
1316C23—1188no—
1317C23—1188no—
1318C23—1181no—
1319C23—1181no—
1320C23—1181no—
1321C23—1181no—
1322C23—1181no—
1323C23—1181no—
1324C23—2364no—
1325C23—2364no—
1326C23—2364no—
1327C23—2364no—
1328C23C2×Q8×D5912yes—
1329C23C24×D5911yescharacteristic
1330Q8—44no—
1331Q8—2364no—
1332Q8—2364no—
1333Q8—2364no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—44no—
1371C2×C4—592no—
1372C2×C4—592no—
1373C2×C4—592no—
1374C2×C4—592no—
1375C2×C4—592no—
1376C2×C4—592no—
1377C2×C4—1188no—
1378C2×C4—1188no—
1379C2×C4—1188no—
1380C2×C4—1188no—
1381C2×C4—1188no—
1382C2×C4—1188no—
1383C2×C4—1181no—
1384C2×C4—1181no—
1385C2×C4—1181no—
1386C2×C4—1181no—
1387C2×C4—1181no—
1388C2×C4—1181no—
1389C2×C4—1181no—
1390C2×C4—1181no—
1391C2×C4—1181no—
1392C2×C4—1181no—
1393C2×C4—1181no—
1394C2×C4—1181no—
1395C2×C4—1181no—
1396C2×C4—1181no—
1397C2×C4—1181no—
1398C2×C4—1181no—
1399C2×C4—1181no—
1400C2×C4—1181no—
1401C2×C4—1181no—
1402C2×C4—1181no—
1403C2×C4—1181no—
1404C2×C4—1181no—
1405C2×C4—1181no—
1406C2×C4—1181no—
1407C2×C4—1181no—
1408C2×C4—1181no—
1409C2×C4—1181no—
1410C2×C4—1181no—
1411C2×C4—1181no—
1412C2×C4—1181no—
1413C2×C4—1181no—
1414C2×C4—1181no—
1415C2×C4—1181no—
1416C2×C4—1181no—
1417C2×C4—1181no—
1418C2×C4—1181no—
1419C2×C4—2364no—
1420C2×C4—2364no—
1421C2×C4—2364no—
1422C2×C4—2364no—
1423C2×C4—2364no—
1424C2×C4—2364no—
1425C2×C4—2364no—
1426C2×C4—2364no—
1427C2×C4—2364no—
1428C2×C4—2364no—
1429C2×C4—2364no—
1430C2×C4C2×Q8×D5912yes—
1431C2×C4C2×Q8×D5912yes—
1432C2×C4#41×D5912yes—
1433C2×C4#41×D5912yes—
1434C2×C4#41×D5912yes—
1435C2×C4#41×D5912yes—
1436C22—22no—
1437C22—22no—
1438C22—22no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—41no—
1443C22—594no—
1444C22—594no—
1445C22—594no—
1446C22—594no—
1447C22—594no—
1448C22—594no—
1449C22—594no—
1450C22—1182no—
1451C22—1182no—
1452C22—1182no—
1453C22—23616no—
1454C22—2361no—
1455C22—2361no—
1456C22—2361no—
1457C22—2361no—
1458C22C22×Q8×D5911yescharacteristic
1459C22C2×#41×D5911yescharacteristic
1460C22C2×#41×D5911yescharacteristic
1461C22C2×#41×D5911yescharacteristic
1462C22C2×#41×D5911yescharacteristic
1463C22H(5,𝔽2)×D5911yescharacteristic
1464C22H(5,𝔽2)×D5911yescharacteristic
1465C4—22no—
1466C4—22no—
1467C4—22no—
1468C4—22no—
1469C4—22no—
1470C4—22no—
1471C4—41no—
1472C4—41no—
1473C4—41no—
1474C4—41no—
1475C4—41no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—1182no—
1480C4—1182no—
1481C4—1182no—
1482C4—1182no—
1483C4—1182no—
1484C4—1182no—
1485C4—2361no—
1486C4—2361no—
1487C4—2361no—
1488C4—2361no—
1489C4—2361no—
1490C4—2361no—
1491C4—2361no—
1492C4—2361no—
1493C2—42no—
1494C2—598no—
1495C2—2362no—
1496C2#529×D5911yescharacteristic
1497C2#533×D5911yescharacteristic
1498C2#538×D5911yescharacteristic
1499C2#551×D5911yescharacteristic
1500C2#554×D5911yescharacteristic
1501C2#554×D5911yescharacteristic
1502C2#559×D5911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2589C2
prime radicalC24×D59C23
hypercenter#2589D59
hypocenterC59C2×#2589
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2589

Complements

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

NH ≅ G/Ntype
1. #21429554C2semidirect
2. #21429553C2semidirect
3. #21429552C2semidirect
4. #21429551C2semidirect
5. #21429550C2semidirect
6. #21429549C2semidirect
7. #21429548C2semidirect
8. #21429547C2semidirect
9. #21429546C2semidirect
10. #21429545C2semidirect
11. #21429544C2semidirect
12. #21429543C2semidirect
13. #21429542C2semidirect
14. #21429541C2semidirect
15. #21429540C2semidirect
16. #400×D59C2semidirect
18. #398×D59C2semidirect
20. #391×D59C2semidirect
21. #391×D59C2semidirect
22. #389×D59C2semidirect
25. #387×D59C2semidirect
26. #387×D59C2semidirect
29. C4×C4⋊C4×D59C2semidirect
31. C59×#2589C2semidirect
53. #16837344C22semidirect
54. #16837344C22semidirect
55. #16837343C22semidirect
56. #16837343C22semidirect
57. #16837342C22semidirect
58. #16837341C22semidirect
59. #16837340C22semidirect
67. #16837336C22semidirect
68. #16837336C22semidirect
69. #16837335C22semidirect
70. #16837335C22semidirect
71. #16837334C22semidirect
72. #16837333C22semidirect
73. #16837332C22semidirect
81. #16837309C22semidirect
82. #16837309C22semidirect
83. #16837308C22semidirect
84. #16837308C22semidirect
85. #16837307C22semidirect
86. #16837307C22semidirect
87. #16837306C22semidirect
88. #16837306C22semidirect
89. #16837306C22semidirect
90. #16837306C22semidirect
91. #16837306C22semidirect
92. #16837306C22semidirect
93. #16837306C22semidirect
94. #16837306C22semidirect
95. #16837301C22semidirect
96. #16837300C22semidirect
97. #16837299C22semidirect
98. #16837299C22semidirect
99. #16837298C22semidirect
100. #16837297C22semidirect
101. #16837297C22semidirect
116. #16837289C22semidirect
117. #16837289C22semidirect
118. #16837288C22semidirect
119. #16837288C22semidirect
120. #16837287C22semidirect
121. #16837287C22semidirect
122. #16837286C22semidirect
123. #16837286C22semidirect
124. #16837285C22semidirect
125. #16837285C22semidirect
126. #16837284C22semidirect
127. #16837284C22semidirect
128. #16837283C22semidirect
129. #16837283C22semidirect
144. C4⋊C4×Dic59C22semidirect
145. C4⋊C4×Dic59C22semidirect
146. C4×Dic59⋊C4C22semidirect
147. C4×Dic59⋊C4C22semidirect
148. C4×C4⋊Dic59C22semidirect
149. #16837253C22semidirect
150. #16837253C22semidirect
172. C59×#400C22semidirect
174. C59×#398C22semidirect
176. C59×#391C22semidirect
177. C59×#391C22semidirect
178. C59×#389C22semidirect
181. C59×#387C22semidirect
182. C59×#387C22semidirect
185. C4×C4⋊C4×C59C22semidirect
273. C22⋊C4×D59Q8semidirect
487. C22⋊C4×C59C2×Q8semidirect
497. C22⋊Dic59C2×Q8semidirect
508. (C2×D59)⋊C4C2×Q8semidirect
509. (C2×D59)⋊C4C2×Q8semidirect
757. #2589D59direct (N × H)
782. D59#2589direct (N × H)
811. #400C2×D59semidirect
827. #398C2×D59semidirect
850. #391C2×D59semidirect
851. #391C2×D59semidirect
859. #389C2×D59semidirect
890. #387C2×D59semidirect
891. #387C2×D59semidirect
915. C4×C4⋊C4C2×D59semidirect
938. C59C2×#2589semidirect
1284. C22⋊C4Q8×D59semidirect

Maximal subgroups

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

subgroupindex
#214295542
#214295532
#214295522
#214295512
#214295502
#214295492
#214295482
#214295472
#214295462
#214295452
#214295442
#214295432
#214295422
#214295412
#214295402
#400×D592
#399×D592
#398×D592
#393×D592
#391×D592
#389×D592
#388×D592
#387×D592
#385×D592
C4×C4⋊C4×D592
C4×C22⋊C4×D592
C59×#25892
C2×#258959