Finite Group Databasebeta

← #28761472

Subgroups — #28761472

Order 15104.

2378 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432390C211yesmaximal, characteristic, complemented
2#21432386C211yesmaximal, characteristic, complemented
3#21432381C211yesmaximal, characteristic, complemented
4#21432376C211yesmaximal, characteristic
5#21430068C211yesmaximal, characteristic, complemented
6#21430052C211yesmaximal, characteristic, complemented
7#21430051C211yesmaximal, characteristic, complemented
8#21430026C211yesmaximal, characteristic, complemented
9#21428658C211yesmaximal, characteristic, complemented
10#21428650C211yesmaximal, characteristic, complemented
11#21428599C211yesmaximal, characteristic, complemented
12#21428591C211yesmaximal, characteristic, complemented
13#21428483C211yesmaximal, characteristic, complemented
14#21428475C211yesmaximal, characteristic, complemented
15#21428424C211yesmaximal, characteristic, complemented
16#21428416C211yesmaximal, characteristic, complemented
17#21427922C211yesmaximal, characteristic, complemented
18#21427914C211yesmaximal, characteristic, complemented
19#21427848C211yesmaximal, characteristic, complemented
20#21427840C211yesmaximal, characteristic, complemented
21#21427649C211yesmaximal, characteristic, complemented
22#21427641C211yesmaximal, characteristic, complemented
23#21427575C211yesmaximal, characteristic, complemented
24#21427567C211yesmaximal, characteristic, complemented
25#21426824C211yesmaximal, characteristic, complemented
26#21426794C211yesmaximal, characteristic, complemented
27#21426729C211yesmaximal, characteristic, complemented
28#21426723C211yesmaximal, characteristic, complemented
29C4×#14273696C211yesmaximal, characteristic, complemented
30C22×C59⋊#95C211yesmaximal, characteristic, complemented
31C4×#120×C59C211yesmaximal, characteristic, complemented
32C24×Dic59C2211yescharacteristic
33C24×Dic59C2211yescharacteristic
34C2×#14273711C2211yescharacteristic
35C2×#14273711C2211yescharacteristic
36C2×#14273708C2211yescharacteristic
37C2×#14273708C2211yescharacteristic
38C2×#14273704C2211yescharacteristic
39C2×#14273704C2211yescharacteristic
40C2×#14273704C2211yescharacteristic
41C2×#14273699C2211yescharacteristic
42C2×#14273699C2211yescharacteristic
43C2×#14273699C2211yescharacteristic
44C2×#14273696C2211yescharacteristic
45C2×C4×C22⋊D59C2211yescharacteristic
46C2×C4×C22⋊D59C2211yescharacteristic
47C2×C4×C22⋊D59C2211yescharacteristic
48C59⋊#401C2211yescharacteristic, complemented
49C59⋊#401C2211yescharacteristic, complemented
50#16837344C2211yescharacteristic, complemented
51#16837344C2211yescharacteristic, complemented
52#16837344C2211yescharacteristic, complemented
53#16837343C2211yescharacteristic, complemented
54#16837343C2211yescharacteristic, complemented
55#16837343C2211yescharacteristic, complemented
56#16837343C2211yescharacteristic, complemented
57#16837342C2211yescharacteristic, complemented
58#16837342C2211yescharacteristic, complemented
59#16837341C2211yescharacteristic, complemented
60#16837340C2211yescharacteristic, complemented
61#16837340C2211yescharacteristic, complemented
62#16837336C2211yescharacteristic, complemented
63#16837335C2211yescharacteristic, complemented
64#16837333C2211yescharacteristic, complemented
65#16837332C2211yescharacteristic, complemented
66#16837331C2211yescharacteristic, complemented
67#16837331C2211yescharacteristic, complemented
68#16837330C2211yescharacteristic, complemented
69#16837330C2211yescharacteristic, complemented
70#16837330C2211yescharacteristic, complemented
71#16837329C2211yescharacteristic, complemented
72#16837328C2211yescharacteristic, complemented
73#16837327C2211yescharacteristic, complemented
74#16837325C2211yescharacteristic, complemented
75#16837324C2211yescharacteristic, complemented
76#16837318C2211yescharacteristic, complemented
77#16837317C2211yescharacteristic, complemented
78#16837315C2211yescharacteristic, complemented
79#16837314C2211yescharacteristic, complemented
80#16837308C2211yescharacteristic, complemented
81#16837306C2211yescharacteristic, complemented
82#16837300C2211yescharacteristic, complemented
83#16837299C2211yescharacteristic, complemented
84#16837295C2211yescharacteristic, complemented
85#16837295C2211yescharacteristic, complemented
86#16837293C2211yescharacteristic, complemented
87#16837293C2211yescharacteristic, complemented
88#16837293C2211yescharacteristic, complemented
89#16837290C2211yescharacteristic, complemented
90#16837289C2211yescharacteristic, complemented
91#16837288C2211yescharacteristic, complemented
92#16837288C2211yescharacteristic, complemented
93#16837286C2211yescharacteristic, complemented
94#16837286C2211yescharacteristic, complemented
95#16837286C2211yescharacteristic, complemented
96#16837286C2211yescharacteristic, complemented
97#16837286C2211yescharacteristic, complemented
98#16837285C2211yescharacteristic, complemented
99#16837283C2211yescharacteristic, complemented
100#16837282C2211yescharacteristic
101#16837282C2211yescharacteristic
102#16837282C2211yescharacteristic
103#16837282C2211yescharacteristic
104#16837282C2211yescharacteristic
105#16837282C2211yescharacteristic
106#16837282C2211yescharacteristic
107#16837281C2211yescharacteristic
108#16837281C2211yescharacteristic
109#16837281C2211yescharacteristic
110#16837281C2211yescharacteristic, complemented
111#16837279C2211yescharacteristic
112#16837279C2211yescharacteristic
113#16837279C2211yescharacteristic
114#16837279C2211yescharacteristic
115#16837279C2211yescharacteristic
116#16837279C2211yescharacteristic
117#16837279C2211yescharacteristic
118#16837278C2211yescharacteristic, complemented
119#16837277C2211yescharacteristic
120#16837277C2211yescharacteristic
121#16837277C2211yescharacteristic
122#16837277C2211yescharacteristic
123#16837277C2211yescharacteristic
124#16837277C2211yescharacteristic
125#16837277C2211yescharacteristic
126#16837275C2211yescharacteristic
127#16837275C2211yescharacteristic
128#16837275C2211yescharacteristic
129#16837275C2211yescharacteristic, complemented
130#16837274C2211yescharacteristic
131#16837274C2211yescharacteristic
132#16837274C2211yescharacteristic
133#16837274C2211yescharacteristic
134#16837274C2211yescharacteristic
135#16837274C2211yescharacteristic
136#16837274C2211yescharacteristic
137#16837273C2211yescharacteristic, complemented
138#16837270C2211yescharacteristic, complemented
139#16837269C2211yescharacteristic, complemented
140#16837268C2211yescharacteristic, complemented
141#16837266C2211yescharacteristic, complemented
142#16837265C2211yescharacteristic, complemented
143#16837264C2211yescharacteristic, complemented
144#16837263C2211yescharacteristic
145#16837263C2211yescharacteristic
146#16837263C2211yescharacteristic
147#16837263C2211yescharacteristic
148#16837262C2211yescharacteristic, complemented
149#16837261C2211yescharacteristic, complemented
150#16837260C2211yescharacteristic
151#16837260C2211yescharacteristic
152#16837260C2211yescharacteristic
153#16837260C2211yescharacteristic
154#16837260C2211yescharacteristic
155#16837260C2211yescharacteristic
156#16837258C2211yescharacteristic
157C4×C22⋊Dic59C2211yescharacteristic
158C4×C22⋊Dic59C2211yescharacteristic
159C4×C22⋊Dic59C2211yescharacteristic
160C2×C59⋊#95C2211yescharacteristic
161C2×C59⋊#95C2211yescharacteristic
162C2×C59⋊#95C2211yescharacteristic
163C2×C59⋊#95C2211yescharacteristic
164C2×C59⋊#95C2211yescharacteristic
165C2×C59⋊#95C2211yescharacteristic
166C2×C59⋊#95C2211yescharacteristic
167C2×C59⋊#95C2211yescharacteristic
168C2×C59⋊#95C2211yescharacteristic
169C2×C59⋊#95C2211yescharacteristic
170C2×C59⋊#95C2211yescharacteristic
171C2×C59⋊#95C2211yescharacteristic
172C24×C4×C59C2211yescharacteristic
173C2×#120×C59C2211yescharacteristic
174C2×C4×D4×C59C2211yescharacteristic
175C2×C4×D4×C59C2211yescharacteristic
176C2×C4×D4×C59C2211yescharacteristic
177C59×#386C2211yescharacteristic
178C59×#386C2211yescharacteristic
179C59×#386C2211yescharacteristic
180C59×#385C2211yescharacteristic
181C59×#385C2211yescharacteristic
182C59×#385C2211yescharacteristic
183C59×#379C2211yescharacteristic
184C4×C22⋊C4×C59C2211yescharacteristic
185C4×C22⋊C4×C59C2211yescharacteristic
186C4×C22⋊C4×C59C2211yescharacteristic
187C22×Dic118C2311yescharacteristic
188C22×C22⋊D59C2311yescharacteristic
189C22×C22⋊D59C2311yescharacteristic
190C22×C22⋊D59C2311yescharacteristic
191C22×C22⋊D59C2311yescharacteristic
192C23×Dic59—24no—
193C23×Dic59—24no—
194C23×Dic59—42no—
195C23×Dic59—42no—
196C23×Dic59—42no—
197C23×Dic59—42no—
198C23×Dic59C2311yescharacteristic
199C23×Dic59C2311yescharacteristic
200C23×Dic59C2311yescharacteristic
201C23×Dic59C2311yescharacteristic
202C23×Dic59C2311yescharacteristic
203C23×Dic59C2311yescharacteristic
204C23×Dic59C2311yescharacteristic
205C23×Dic59C2311yescharacteristic
206C23×Dic59C2311yescharacteristic
207C23×Dic59C2311yescharacteristic
208C23×Dic59C2311yescharacteristic
209C23×Dic59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211#14273711—42no—
212#14273711—42no—
213#14273708—42no—
214#14273708—42no—
215#14273704—24no—
216#14273704—42no—
217#14273704—42no—
218#14273699—24no—
219#14273699—42no—
220#14273699—42no—
221#14273696—24no—
222C4×C22⋊D59—24no—
223C4×C22⋊D59—42no—
224C4×C22⋊D59—42no—
225C2×C4⋊Dic59C2311yescharacteristic
226C2×C4⋊Dic59C2311yescharacteristic
227C2×C4⋊Dic59C2311yescharacteristic
228C2×C4⋊Dic59C2311yescharacteristic
229C2×C4⋊Dic59C2311yescharacteristic
230C2×C4⋊Dic59C2311yescharacteristic
231C2×C4⋊Dic59C2311yescharacteristic
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
241C2×Dic59⋊C4C2311yescharacteristic
242C2×Dic59⋊C4C2311yescharacteristic
243C2×Dic59⋊C4C2311yescharacteristic
244C2×Dic59⋊C4C2311yescharacteristic
245C2×Dic59⋊C4C2311yescharacteristic
246C2×Dic59⋊C4C2311yescharacteristic
247C2×Dic59⋊C4C2311yescharacteristic
248C2×C22⋊Dic59C2311yescharacteristic
249C2×C22⋊Dic59C2311yescharacteristic
250C2×C22⋊Dic59C2311yescharacteristic
251C2×C22⋊Dic59C2311yescharacteristic
252C2×C22⋊Dic59C2311yescharacteristic
253C2×C22⋊Dic59C2311yescharacteristic
254C2×C22⋊Dic59C2311yescharacteristic
255C2×C22⋊Dic59C2311yescharacteristic
256C2×C22⋊Dic59C2311yescharacteristic
257C2×C22⋊Dic59C2311yescharacteristic
258C2×C22⋊Dic59C2311yescharacteristic
259C2×C22⋊Dic59C2311yescharacteristic
260C2×C22⋊Dic59C2311yescharacteristic
261C2×C22⋊Dic59C2311yescharacteristic
262C2×C22⋊Dic59C2311yescharacteristic
263C2×C22⋊Dic59C2311yescharacteristic
264C2×(C2×D59)⋊C4C2311yescharacteristic
265C2×(C2×D59)⋊C4C2311yescharacteristic
266C2×(C2×D59)⋊C4C2311yescharacteristic
267C2×(C2×D59)⋊C4C2311yescharacteristic
268C2×(C2×D59)⋊C4C2311yescharacteristic
269C2×(C2×D59)⋊C4C2311yescharacteristic
270C2×(C2×D59)⋊C4C2311yescharacteristic
271C2×(C2×D59)⋊C4C2311yescharacteristic
272C2×(C2×D59)⋊C4C2311yescharacteristic
273C2×(C2×D59)⋊C4C2311yescharacteristic
274C2×C4×Dic59C2311yescharacteristic
275C2×C4×Dic59C2311yescharacteristic
276C2×C4×Dic59C2311yescharacteristic
277C59⋊#95C2311yescharacteristic
278C59⋊#95C2311yescharacteristic
279C59⋊#95C2311yescharacteristic
280C59⋊#95C2311yescharacteristic
281C59⋊#95C2311yescharacteristic
282C59⋊#95C2311yescharacteristic
283C59⋊#95C2311yescharacteristic
284C59⋊#95C2311yescharacteristic
285C59⋊#95C2311yescharacteristic
286C59⋊#95C2311yescharacteristic
287C59⋊#95C2311yescharacteristic
288C59⋊#95C2311yescharacteristic
289C59⋊#95C2311yescharacteristic
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
327C25×C59C2311yescharacteristic
328C22×D4×C59C2311yescharacteristic
329C22×D4×C59C2311yescharacteristic
330C22×D4×C59C2311yescharacteristic
331C23×C4×C59—24no—
332C23×C4×C59—42no—
333C23×C4×C59—42no—
334C23×C4×C59C2311yescharacteristic
335C23×C4×C59C2311yescharacteristic
336C23×C4×C59C2311yescharacteristic
337C23×C4×C59C2311yescharacteristic
338C23×C4×C59C2311yescharacteristic
339C23×C4×C59C2311yescharacteristic
340C23×C4×C59C2311yescharacteristic
341#120×C59—24no—
342C4×D4×C59—24no—
343C4×D4×C59—42no—
344C4×D4×C59—42no—
345C2×C4⋊C4×C59C2311yescharacteristic
346C2×C4⋊C4×C59C2311yescharacteristic
347C2×C4⋊C4×C59C2311yescharacteristic
348C2×C22⋊C4×C59C2311yescharacteristic
349C2×C22⋊C4×C59C2311yescharacteristic
350C2×C22⋊C4×C59C2311yescharacteristic
351C2×C22⋊C4×C59C2311yescharacteristic
352C2×C22⋊C4×C59C2311yescharacteristic
353C2×C22⋊C4×C59C2311yescharacteristic
354C2×C22⋊C4×C59C2311yescharacteristic
355C2×C22⋊C4×C59C2311yescharacteristic
356C2×C22⋊C4×C59C2311yescharacteristic
357C2×C22⋊C4×C59C2311yescharacteristic
358C2×C22⋊C4×C59C2311yescharacteristic
359C2×C22⋊C4×C59C2311yescharacteristic
360C2×C42×C59C2311yescharacteristic
361C2×C42×C59C2311yescharacteristic
362C2×C42×C59C2311yescharacteristic
363#95×C59C2311yescharacteristic
364#95×C59C2311yescharacteristic
365#95×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369C24×C59—22no—
370C24×C59—22no—
371C24×C59—22no—
372C24×C59—22no—
373C24×C59—22no—
374C24×C59—22no—
375C24×C59#4114yes—
376C24×C59C2411yescharacteristic
377C24×C59C2411yescharacteristic
378C24×C59C2411yescharacteristic
379C24×C59C2411yescharacteristic
380C23×D59C2411yescharacteristic
381C2×D4×C59—22no—
382C2×D4×C59—22no—
383C2×D4×C59—22no—
384C2×D4×C59—22no—
385C2×D4×C59—22no—
386C2×D4×C59—22no—
387C2×D4×C59—22no—
388C2×D4×C59—22no—
389C2×D4×C59—22no—
390C22×C4×C59—22no—
391C22×C4×C59—22no—
392C22×C4×C59—22no—
393C22×C4×C59—22no—
394C22×C4×C59—22no—
395C22×C4×C59—22no—
396C22×C4×C59—22no—
397C22×C4×C59—22no—
398C22×C4×C59—22no—
399C22×C4×C59—22no—
400C22×C4×C59—41no—
401C22×C4×C59—41no—
402C22×C4×C59—41no—
403C22×C4×C59—41no—
404C22×C4×C59—41no—
405C22×C4×C59—41no—
406C22×C4×C59—41no—
407C22×C4×C59—41no—
408C22×C4×C59—41no—
409C22×C4×C59—41no—
410C22×C4×C59—416no—
411C22×C4×C59#4114yes—
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
423C2×C22⋊D59—22no—
424C2×C22⋊D59—22no—
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—22no—
432C2×C22⋊D59—22no—
433C2×C22⋊D59—41no—
434C2×C22⋊D59—41no—
435C22×Dic59—22no—
436C22×Dic59—22no—
437C22×Dic59—22no—
438C22×Dic59—22no—
439C22×Dic59—22no—
440C22×Dic59—22no—
441C22×Dic59—22no—
442C22×Dic59—22no—
443C22×Dic59—22no—
444C22×Dic59—22no—
445C22×Dic59—22no—
446C22×Dic59—22no—
447C22×Dic59—22no—
448C22×Dic59—22no—
449C22×Dic59—22no—
450C22×Dic59—22no—
451C22×Dic59—22no—
452C22×Dic59—22no—
453C22×Dic59—22no—
454C22×Dic59—41no—
455C22×Dic59—41no—
456C22×Dic59—41no—
457C22×Dic59—41no—
458C22×Dic59—41no—
459C22×Dic59—41no—
460C22×Dic59—41no—
461C22×Dic59—41no—
462C22×Dic59—41no—
463C22×Dic59—41no—
464C22×Dic59—41no—
465C22×Dic59—41no—
466C22×Dic59—41no—
467C22×Dic59—41no—
468C22×Dic59—41no—
469C22×Dic59—41no—
470C22×Dic59—416no—
471C22×Dic59—416no—
472C22×Dic59#4114yes—
473C22×Dic59C2411yescharacteristic
474C22×Dic59C2411yescharacteristic
475C22×Dic59C2411yescharacteristic
476C22×Dic59C2411yescharacteristic
477C22×Dic59C2411yescharacteristic
478C22×Dic59C2411yescharacteristic
479C22×Dic59C2411yescharacteristic
480C22×Dic59C2411yescharacteristic
481C22×Dic59C2411yescharacteristic
482C22×Dic59C2411yescharacteristic
483C22×Dic59C2411yescharacteristic
484C22×Dic59C2411yescharacteristic
485C22×Dic59C2411yescharacteristic
486C22×Dic59C2411yescharacteristic
487C22×Dic59C2411yescharacteristic
488C2×C4×D59—22no—
489C2×C4×D59—41no—
490C2×C4×D59—41no—
491C2×Dic118—22no—
492C2×Dic118—41no—
493C2×Dic118—41no—
494C4⋊C4×C59—22no—
495C4⋊C4×C59—41no—
496C4⋊C4×C59—41no—
497C22⋊C4×C59—22no—
498C22⋊C4×C59—22no—
499C22⋊C4×C59—22no—
500C22⋊C4×C59—22no—
501C22⋊C4×C59—22no—
502C22⋊C4×C59—22no—
503C22⋊C4×C59—22no—
504C22⋊C4×C59—22no—
505C22⋊C4×C59—22no—
506C22⋊C4×C59—22no—
507C22⋊C4×C59—41no—
508C22⋊C4×C59—41no—
509C42×C59—22no—
510C42×C59—41no—
511C42×C59—41no—
512C22⋊Dic59—22no—
513C22⋊Dic59—22no—
514C22⋊Dic59—22no—
515C22⋊Dic59—22no—
516C22⋊Dic59—22no—
517C22⋊Dic59—22no—
518C22⋊Dic59—22no—
519C22⋊Dic59—22no—
520C22⋊Dic59—22no—
521C22⋊Dic59—22no—
522C22⋊Dic59—41no—
523C22⋊Dic59—41no—
524C22⋊Dic59—41no—
525C22⋊Dic59—41no—
526C22⋊Dic59—41no—
527C22⋊Dic59—41no—
528(C2×D59)⋊C4—22no—
529(C2×D59)⋊C4—22no—
530(C2×D59)⋊C4—41no—
531(C2×D59)⋊C4—41no—
532(C2×D59)⋊C4—41no—
533(C2×D59)⋊C4—41no—
534(C2×D59)⋊C4—41no—
535(C2×D59)⋊C4—41no—
536(C2×D59)⋊C4—41no—
537(C2×D59)⋊C4—41no—
538C4⋊Dic59—22no—
539C4⋊Dic59—41no—
540C4⋊Dic59—41no—
541C4⋊Dic59—41no—
542C4⋊Dic59—41no—
543C4⋊Dic59—41no—
544C4⋊Dic59—41no—
545Dic59⋊C4—22no—
546Dic59⋊C4—22no—
547Dic59⋊C4—22no—
548Dic59⋊C4—22no—
549Dic59⋊C4—41no—
550Dic59⋊C4—41no—
551Dic59⋊C4—41no—
552Dic59⋊C4—41no—
553Dic59⋊C4—41no—
554Dic59⋊C4—41no—
555Dic59⋊C4—41no—
556Dic59⋊C4—41no—
557Dic59⋊C4—41no—
558Dic59⋊C4—41no—
559Dic59⋊C4—41no—
560Dic59⋊C4—41no—
561C4×Dic59—22no—
562C4×Dic59—41no—
563C4×Dic59—41no—
564C23×C59—28no—
565C23×C59—28no—
566C23×C59—28no—
567C23×C59—28no—
568C23×C59—28no—
569C23×C59—28no—
570C23×C59—28no—
571C23×C59—21no—
572C23×C59—21no—
573C23×C59—21no—
574C23×C59—21no—
575C23×C59—21no—
576C23×C59—21no—
577C23×C59—21no—
578C23×C59—21no—
579C23×C59—21no—
580C23×C59—21no—
581C23×C59—21no—
582C23×C59—21no—
583C23×C59—21no—
584C23×C59—21no—
585C23×C59—21no—
586C23×C59—21no—
587C23×C59—21no—
588C23×C59—21no—
589C23×C59—21no—
590C23×C59C2×#4112yes—
591C23×C59C2×#4112yes—
592C23×C59C2×#4112yes—
593C23×C59C2×#4112yes—
594C23×C59C2×#4112yes—
595C23×C59H(5,𝔽2)12yes—
596C23×C59H(5,𝔽2)12yes—
597C23×C59H(5,𝔽2)12yes—
598C23×C592−1+412yes—
599C23×C59C2511yescharacteristic
600C22×D59—21no—
601C22×D59—21no—
602C22×D59—21no—
603C22×D59—21no—
604C22×D59—21no—
605C22×D59—21no—
606C22×D59—21no—
607D4×C59—44no—
608D4×C59—44no—
609D4×C59—44no—
610C2×C4×C59—21no—
611C2×C4×C59—21no—
612C2×C4×C59—21no—
613C2×C4×C59—21no—
614C2×C4×C59—21no—
615C2×C4×C59—21no—
616C2×C4×C59—21no—
617C2×C4×C59—21no—
618C2×C4×C59—21no—
619C2×C4×C59—21no—
620C2×C4×C59—21no—
621C2×C4×C59—21no—
622C2×C4×C59—21no—
623C2×C4×C59—21no—
624C2×C4×C59—21no—
625C2×C4×C59—21no—
626C2×C4×C59—21no—
627C2×C4×C59—21no—
628C2×C4×C59—21no—
629C2×C4×C59—21no—
630C2×C4×C59—21no—
631C2×C4×C59—21no—
632C2×C4×C59—21no—
633C2×C4×C59—21no—
634C2×C4×C59—21no—
635C2×C4×C59—21no—
636C2×C4×C59—21no—
637C2×C4×C59—21no—
638C2×C4×C59—21no—
639C2×C4×C59—21no—
640C2×C4×C59—21no—
641C2×C4×C59—44no—
642C2×C4×C59—44no—
643C2×C4×C59—44no—
644C2×C4×C59—44no—
645C2×C4×C59—44no—
646C2×C4×C59—44no—
647C2×C4×C59—82no—
648C2×C4×C59C2×#4112yes—
649C2×C4×C59C2×#4112yes—
650C22⋊D59—44no—
651C22⋊D59—44no—
652C22⋊D59—44no—
653C22⋊D59—82no—
654C2×Dic59—21no—
655C2×Dic59—21no—
656C2×Dic59—21no—
657C2×Dic59—21no—
658C2×Dic59—21no—
659C2×Dic59—21no—
660C2×Dic59—21no—
661C2×Dic59—21no—
662C2×Dic59—21no—
663C2×Dic59—21no—
664C2×Dic59—21no—
665C2×Dic59—21no—
666C2×Dic59—21no—
667C2×Dic59—21no—
668C2×Dic59—21no—
669C2×Dic59—21no—
670C2×Dic59—21no—
671C2×Dic59—21no—
672C2×Dic59—21no—
673C2×Dic59—21no—
674C2×Dic59—21no—
675C2×Dic59—21no—
676C2×Dic59—21no—
677C2×Dic59—21no—
678C2×Dic59—21no—
679C2×Dic59—21no—
680C2×Dic59—21no—
681C2×Dic59—21no—
682C2×Dic59—21no—
683C2×Dic59—21no—
684C2×Dic59—21no—
685C2×Dic59—21no—
686C2×Dic59—21no—
687C2×Dic59—21no—
688C2×Dic59—21no—
689C2×Dic59—21no—
690C2×Dic59—21no—
691C2×Dic59—21no—
692C2×Dic59—21no—
693C2×Dic59—21no—
694C2×Dic59—21no—
695C2×Dic59—21no—
696C2×Dic59—21no—
697C2×Dic59—44no—
698C2×Dic59—44no—
699C2×Dic59—44no—
700C2×Dic59—44no—
701C2×Dic59—44no—
702C2×Dic59—44no—
703C2×Dic59—44no—
704C2×Dic59—44no—
705C2×Dic59—44no—
706C2×Dic59—44no—
707C2×Dic59—44no—
708C2×Dic59—44no—
709C2×Dic59C2×#4112yes—
710C2×Dic59C2×#4112yes—
711C4×D59—82no—
712Dic118—82no—
713#34997—591nomaximal, Sylow
714C22×C59—232no—
715C22×C59—22no—
716C22×C59—22no—
717C22×C59—22no—
718C22×C59—22no—
719C22×C59—22no—
720C22×C59—22no—
721C22×C59—22no—
722C22×C59—22no—
723C22×C59—22no—
724C22×C59—22no—
725C22×C59—22no—
726C22×C59—22no—
727C22×C59—22no—
728C22×C59—22no—
729C22×C59—22no—
730C22×C59—22no—
731C22×C59—22no—
732C22×C59—22no—
733C22×C59—41no—
734C22×C59—41no—
735C22×C59—41no—
736C22×C59—41no—
737C22×C59—41no—
738C22×C59—41no—
739C22×C59—41no—
740C22×C59#52914yes—
741C22×C59#53814yes—
742C22×C59#53914yes—
743C22×C59C22×#4111yescharacteristic
744C22×C59C22×#4111yescharacteristic
745C22×C59C22×#4111yescharacteristic
746C22×C59C2×H(5,𝔽2)11yescharacteristic
747C22×C59C2×H(5,𝔽2)11yescharacteristic
748C22×C59C2×H(5,𝔽2)11yescharacteristic
749C22×C59C2×2−1+411yescharacteristic
750C2×D59—41no—
751C2×D59—41no—
752C2×D59—41no—
753C2×D59—41no—
754C2×D59—41no—
755C2×D59—41no—
756C2×D59—41no—
757C4×C59—22no—
758C4×C59—22no—
759C4×C59—41no—
760C4×C59—41no—
761C4×C59—41no—
762C4×C59—41no—
763C4×C59—41no—
764C4×C59—41no—
765C4×C59—41no—
766C4×C59—41no—
767C4×C59—41no—
768Dic59—22no—
769Dic59—22no—
770Dic59—41no—
771Dic59—41no—
772Dic59—41no—
773Dic59—41no—
774Dic59—41no—
775Dic59—41no—
776Dic59—41no—
777Dic59—41no—
778Dic59—41no—
779Dic59—41no—
780Dic59—41no—
781Dic59—41no—
782Dic59—41no—
783#2849—591no—
784#2849—591no—
785#2848—591no—
786#2847—591no—
787#2646—591no—
788#2643—591no—
789#2643—591no—
790#2639—591no—
791#2510—591no—
792#2510—591no—
793#2505—591no—
794#2505—591no—
795#2493—591no—
796#2493—591no—
797#2488—591no—
798#2488—591no—
799#2450—591no—
800#2450—591no—
801#2444—591no—
802#2444—591no—
803#2425—591no—
804#2425—591no—
805#2419—591no—
806#2419—591no—
807#2329—591no—
808#2325—591no—
809#2318—591no—
810#2318—591no—
811C4×#120—591no—
812C4×#120D5911yescharacteristic, complemented
813C22×#95—591no—
814C2×C59—24no—
815C2×C59—24no—
816C2×C59—24no—
817C2×C59—81no—
818C2×C59C2×#52911yescharacteristic
819C2×C59C2×#53811yescharacteristic
820C2×C59C2×#53911yescharacteristic
821C2×C59#349011yescharacteristic
822C2×C59#349011yescharacteristic
823C2×C59#349211yescharacteristic
824C2×C59#349211yescharacteristic
825D59—81no—
826C24×C4—591no—
827C24×C4—591no—
828C24×C4C2×D5911yescharacteristic
829C2×#123—591no—
830C2×#123—591no—
831C2×#123—591no—
832C2×#123—591no—
833C2×C22⋊Q8—591no—
834C2×C22⋊Q8—591no—
835C2×C22⋊Q8—591no—
836C2×#121—591no—
837C2×#121—591no—
838C2×#121—591no—
839C2×#120—591no—
840C2×#120C2×D5911yescharacteristic
841C2×C4×D4—591no—
842C2×C4×D4—591no—
843C2×C4×D4—591no—
844C2×C4×D4C2×D5911yescharacteristic
845C2×C4×D4C2×D5911yescharacteristic
846C2×C4×D4C2×D5911yescharacteristic
847#401—591no—
848#401—591no—
849#400—591no—
850#400—591no—
851#400—591no—
852#400—591no—
853#400—591no—
854#400—591no—
855#400—591no—
856#400—591no—
857#400—591no—
858#400—591no—
859#400—591no—
860#400—591no—
861#398—591no—
862#398—591no—
863#398—591no—
864#398—591no—
865#397—591no—
866#397—591no—
867#397—591no—
868#397—591no—
869#397—591no—
870#397—591no—
871#397—591no—
872#397—591no—
873#396—591no—
874#396—591no—
875#394—591no—
876#394—591no—
877#393—591no—
878#393—591no—
879#391—591no—
880#391—591no—
881#389—591no—
882#389—591no—
883#388—591no—
884#388—591no—
885#388—591no—
886#388—591no—
887#388—591no—
888#388—591no—
889#387—591no—
890#387—591no—
891#387—591no—
892#387—591no—
893#387—591no—
894#387—591no—
895#387—591no—
896#387—591no—
897#387—591no—
898#387—591no—
899#386—591no—
900#386—591no—
901#386—591no—
902#386—591no—
903#386—591no—
904#386—591no—
905#386—591no—
906#386—591no—
907#386—591no—
908#386—591no—
909#386—591no—
910#386—591no—
911#386—591no—
912#386—591no—
913#386—591no—
914#386—591no—
915#386—591no—
916#386—591no—
917#386—591no—
918#386C2×D5911yescharacteristic
919#386C2×D5911yescharacteristic
920#386C2×D5911yescharacteristic
921#385—591no—
922#385—591no—
923#385—591no—
924#385—591no—
925#385—591no—
926#385—591no—
927#385—591no—
928#385—591no—
929#385—591no—
930#385—591no—
931#385—591no—
932#385—591no—
933#385—591no—
934#385—591no—
935#385—591no—
936#385—591no—
937#385—591no—
938#385—591no—
939#385—591no—
940#385C2×D5911yescharacteristic
941#385C2×D5911yescharacteristic
942#385C2×D5911yescharacteristic
943#383—591no—
944#383—591no—
945#382—591no—
946#382—591no—
947#381—591no—
948#381—591no—
949#381—591no—
950#381—591no—
951#381—591no—
952#381—591no—
953#380—591no—
954#380—591no—
955#380—591no—
956#380—591no—
957#380—591no—
958#380—591no—
959#380—591no—
960#380—591no—
961#379—591no—
962#379C2×D5911yescharacteristic
963C4×C22⋊C4—591no—
964C4×C22⋊C4—591no—
965C4×C22⋊C4—591no—
966C4×C22⋊C4C2×D5911yescharacteristic
967C4×C22⋊C4C2×D5911yescharacteristic
968C4×C22⋊C4C2×D5911yescharacteristic
969C2×#95—591no—
970C2×#95—591no—
971C2×#95—591no—
972C2×#95—591no—
973C2×#95—591no—
974C2×#95—591no—
975C2×#95—591no—
976C2×#95—591no—
977C2×#95—591no—
978C2×#95—591no—
979C2×#95—591no—
980C2×#95—591no—
981C59#3499711yescharacteristic, complemented, Sylow
982C25C22×D5911yescharacteristic
983C22×Q8—591no—
984C22×D4—591no—
985C22×D4—591no—
986C22×D4—591no—
987C22×D4—591no—
988C22×D4C22×D5911yescharacteristic
989C22×D4C22×D5911yescharacteristic
990C22×D4C22×D5911yescharacteristic
991C23×C4—24no—
992C23×C4—42no—
993C23×C4—42no—
994C23×C4—591no—
995C23×C4—591no—
996C23×C4—591no—
997C23×C4—591no—
998C23×C4—591no—
999C23×C4—591no—
1000C23×C4—591no—
1001C23×C4—591no—
1002C23×C4—591no—
1003C23×C4—591no—
1004C23×C4—591no—
1005C23×C4—591no—
1006C23×C4—591no—
1007C23×C4—1184no—
1008C23×C4—1184no—
1009C23×C4—2362no—
1010C23×C4—2362no—
1011C23×C4—2362no—
1012C23×C4—2362no—
1013C23×C4C22×D5911yescharacteristic
1014C23×C4C22×D5911yescharacteristic
1015C23×C4C22×D5911yescharacteristic
1016C23×C4C22×D5911yescharacteristic
1017C23×C4C22×D5911yescharacteristic
1018C23×C4C22×D5911yescharacteristic
1019C23×C4C22×D5911yescharacteristic
1020#123—2362no—
1021#123—2362no—
1022#123—2362no—
1023#123—2362no—
1024C22⋊Q8—1184no—
1025C22⋊Q8—2362no—
1026C22⋊Q8—2362no—
1027#121—1184no—
1028#121—2362no—
1029#121—2362no—
1030#120—24no—
1031#120—1184no—
1032C4×D4—24no—
1033C4×D4—42no—
1034C4×D4—42no—
1035C4×D4—1184no—
1036C4×D4—2362no—
1037C4×D4—2362no—
1038C2×C4⋊C4—591no—
1039C2×C4⋊C4—591no—
1040C2×C4⋊C4—591no—
1041C2×C4⋊C4—591no—
1042C2×C4⋊C4—591no—
1043C2×C4⋊C4—591no—
1044C2×C4⋊C4—591no—
1045C2×C4⋊C4—591no—
1046C2×C4⋊C4—591no—
1047C2×C4⋊C4—591no—
1048C2×C4⋊C4—591no—
1049C2×C4⋊C4—591no—
1050C2×C4⋊C4—591no—
1051C2×C4⋊C4—591no—
1052C2×C4⋊C4—591no—
1053C2×C4⋊C4—591no—
1054C2×C4⋊C4—591no—
1055C2×C4⋊C4—591no—
1056C2×C4⋊C4—591no—
1057C2×C4⋊C4—591no—
1058C2×C4⋊C4—591no—
1059C2×C4⋊C4—591no—
1060C2×C4⋊C4—591no—
1061C2×C4⋊C4C22×D5911yescharacteristic
1062C2×C4⋊C4C22×D5911yescharacteristic
1063C2×C4⋊C4C22×D5911yescharacteristic
1064C2×C22⋊C4—591no—
1065C2×C22⋊C4—591no—
1066C2×C22⋊C4—591no—
1067C2×C22⋊C4—591no—
1068C2×C22⋊C4—591no—
1069C2×C22⋊C4—591no—
1070C2×C22⋊C4—591no—
1071C2×C22⋊C4—591no—
1072C2×C22⋊C4—591no—
1073C2×C22⋊C4—591no—
1074C2×C22⋊C4—591no—
1075C2×C22⋊C4—591no—
1076C2×C22⋊C4—591no—
1077C2×C22⋊C4—591no—
1078C2×C22⋊C4—591no—
1079C2×C22⋊C4—591no—
1080C2×C22⋊C4—591no—
1081C2×C22⋊C4—591no—
1082C2×C22⋊C4—591no—
1083C2×C22⋊C4—591no—
1084C2×C22⋊C4—591no—
1085C2×C22⋊C4—591no—
1086C2×C22⋊C4—591no—
1087C2×C22⋊C4—591no—
1088C2×C22⋊C4—591no—
1089C2×C22⋊C4—591no—
1090C2×C22⋊C4C22×D5911yescharacteristic
1091C2×C22⋊C4C22×D5911yescharacteristic
1092C2×C22⋊C4C22×D5911yescharacteristic
1093C2×C22⋊C4C22×D5911yescharacteristic
1094C2×C22⋊C4C22×D5911yescharacteristic
1095C2×C22⋊C4C22×D5911yescharacteristic
1096C2×C22⋊C4C22×D5911yescharacteristic
1097C2×C22⋊C4C22×D5911yescharacteristic
1098C2×C22⋊C4C22×D5911yescharacteristic
1099C2×C22⋊C4C22×D5911yescharacteristic
1100C2×C22⋊C4C22×D5911yescharacteristic
1101C2×C22⋊C4C22×D5911yescharacteristic
1102C2×C42—591no—
1103C2×C42—591no—
1104C2×C42—591no—
1105C2×C42C22×D5911yescharacteristic
1106C2×C42C22×D5911yescharacteristic
1107C2×C42C22×D5911yescharacteristic
1108#95—591no—
1109#95—591no—
1110#95—591no—
1111#95—591no—
1112#95—591no—
1113#95—591no—
1114#95—591no—
1115#95—591no—
1116#95—591no—
1117#95—591no—
1118#95—591no—
1119#95—591no—
1120#95—591no—
1121#95—591no—
1122#95—591no—
1123#95—591no—
1124#95—591no—
1125#95—591no—
1126#95—591no—
1127#95—591no—
1128#95—591no—
1129#95—591no—
1130#95—591no—
1131#95—591no—
1132#95—591no—
1133#95—591no—
1134#95—591no—
1135#95—591no—
1136#95—591no—
1137#95—591no—
1138#95—591no—
1139#95—591no—
1140#95—591no—
1141#95—591no—
1142#95—591no—
1143#95—591no—
1144#95—591no—
1145#95—591no—
1146#95—591no—
1147#95—591no—
1148#95—591no—
1149#95—591no—
1150#95—591no—
1151#95—591no—
1152#95—591no—
1153#95—591no—
1154#95—591no—
1155#95—591no—
1156#95—591no—
1157#95—591no—
1158#95C22×D5911yescharacteristic
1159#95C22×D5911yescharacteristic
1160#95C22×D5911yescharacteristic
1161#95C22×D5911yescharacteristic
1162#95C22×D5911yescharacteristic
1163#95C22×D5911yescharacteristic
1164C24—22no—
1165C24—22no—
1166C24—22no—
1167C24—22no—
1168C24—22no—
1169C24—22no—
1170C24—591no—
1171C24#1174568514yes—
1172C24C23×D5911yescharacteristic
1173C24C23×D5911yescharacteristic
1174C24C23×D5911yescharacteristic
1175C24C23×D5911yescharacteristic
1176C2×Q8—1182no—
1177C2×Q8—2361no—
1178C2×Q8—2361no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—1182no—
1189C2×D4—1182no—
1190C2×D4—1182no—
1191C2×D4—1182no—
1192C2×D4—1182no—
1193C2×D4—1182no—
1194C2×D4—1182no—
1195C2×D4—1182no—
1196C2×D4—1182no—
1197C2×D4—1182no—
1198C2×D4—2361no—
1199C2×D4—2361no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—416no—
1221C22×C4—591no—
1222C22×C4—591no—
1223C22×C4—594no—
1224C22×C4—591no—
1225C22×C4—591no—
1226C22×C4—591no—
1227C22×C4—591no—
1228C22×C4—591no—
1229C22×C4—591no—
1230C22×C4—591no—
1231C22×C4—591no—
1232C22×C4—591no—
1233C22×C4—591no—
1234C22×C4—591no—
1235C22×C4—591no—
1236C22×C4—591no—
1237C22×C4—1182no—
1238C22×C4—1182no—
1239C22×C4—1182no—
1240C22×C4—1182no—
1241C22×C4—1182no—
1242C22×C4—1182no—
1243C22×C4—1182no—
1244C22×C4—1182no—
1245C22×C4—1182no—
1246C22×C4—1182no—
1247C22×C4—1182no—
1248C22×C4—1182no—
1249C22×C4—1182no—
1250C22×C4—1182no—
1251C22×C4—1182no—
1252C22×C4—1182no—
1253C22×C4—1182no—
1254C22×C4—1182no—
1255C22×C4—1182no—
1256C22×C4—1182no—
1257C22×C4—2361no—
1258C22×C4—2361no—
1259C22×C4—2361no—
1260C22×C4—2361no—
1261C22×C4—2361no—
1262C22×C4—2361no—
1263C22×C4—2361no—
1264C22×C4—2361no—
1265C22×C4—2361no—
1266C22×C4—2361no—
1267C22×C4—2361no—
1268C22×C4—2361no—
1269C22×C4—2361no—
1270C22×C4—2361no—
1271C22×C4—2361no—
1272C22×C4—2361no—
1273C22×C4—2361no—
1274C22×C4—2361no—
1275C22×C4—23616no—
1276C22×C4—23616no—
1277C22×C4#1174568714yes—
1278C22×C4C23×D5911yescharacteristic
1279C22×C4C23×D5911yescharacteristic
1280C22×C4C23×D5911yescharacteristic
1281C22×C4C23×D5911yescharacteristic
1282C22×C4C23×D5911yescharacteristic
1283C22×C4C23×D5911yescharacteristic
1284C22×C4C23×D5911yescharacteristic
1285C22×C4C23×D5911yescharacteristic
1286C22×C4C23×D5911yescharacteristic
1287C22×C4C23×D5911yescharacteristic
1288C22×C4C23×D5911yescharacteristic
1289C4⋊C4—22no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—1182no—
1293C4⋊C4—1182no—
1294C4⋊C4—1182no—
1295C4⋊C4—1182no—
1296C4⋊C4—1182no—
1297C4⋊C4—2361no—
1298C4⋊C4—2361no—
1299C4⋊C4—2361no—
1300C4⋊C4—2361no—
1301C4⋊C4—2361no—
1302C4⋊C4—2361no—
1303C4⋊C4—2361no—
1304C4⋊C4—2361no—
1305C4⋊C4—2361no—
1306C4⋊C4—2361no—
1307C4⋊C4—2361no—
1308C4⋊C4—2361no—
1309C4⋊C4—2361no—
1310C4⋊C4—2361no—
1311C4⋊C4—2361no—
1312C4⋊C4—2361no—
1313C4⋊C4—2361no—
1314C4⋊C4—2361no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—1182no—
1328C22⋊C4—1182no—
1329C22⋊C4—1182no—
1330C22⋊C4—1182no—
1331C22⋊C4—1182no—
1332C22⋊C4—1182no—
1333C22⋊C4—1182no—
1334C22⋊C4—1182no—
1335C22⋊C4—1182no—
1336C22⋊C4—1182no—
1337C22⋊C4—1182no—
1338C22⋊C4—1182no—
1339C22⋊C4—2361no—
1340C22⋊C4—2361no—
1341C22⋊C4—2361no—
1342C22⋊C4—2361no—
1343C22⋊C4—2361no—
1344C22⋊C4—2361no—
1345C22⋊C4—2361no—
1346C22⋊C4—2361no—
1347C22⋊C4—2361no—
1348C22⋊C4—2361no—
1349C22⋊C4—2361no—
1350C22⋊C4—2361no—
1351C22⋊C4—2361no—
1352C22⋊C4—2361no—
1353C42—22no—
1354C42—41no—
1355C42—41no—
1356C42—1182no—
1357C42—2361no—
1358C42—2361no—
1359C23—28no—
1360C23—28no—
1361C23—28no—
1362C23—28no—
1363C23—28no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—28no—
1377C23—28no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—1181no—
1386C23—1181no—
1387C23—1181no—
1388C23—1181no—
1389C23—1181no—
1390C23—1181no—
1391C23—1181no—
1392C23#41×D5912yes—
1393C23C2×#1174568712yes—
1394C23C2×#1174568512yes—
1395C23C2×#1174568512yes—
1396C23C2×#1174568512yes—
1397C23#1427377212yes—
1398C23#1427377212yes—
1399C23#1427377312yes—
1400C23#1427377412yes—
1401C23C24×D5911yescharacteristic
1402Q8—4722no—
1403D4—44no—
1404D4—44no—
1405D4—44no—
1406D4—4722no—
1407D4—2364no—
1408D4—2364no—
1409D4—2364no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—44no—
1442C2×C4—44no—
1443C2×C4—44no—
1444C2×C4—44no—
1445C2×C4—44no—
1446C2×C4—44no—
1447C2×C4—82no—
1448C2×C4—592no—
1449C2×C4—592no—
1450C2×C4—1181no—
1451C2×C4—1181no—
1452C2×C4—1181no—
1453C2×C4—1181no—
1454C2×C4—1181no—
1455C2×C4—1181no—
1456C2×C4—1181no—
1457C2×C4—1181no—
1458C2×C4—1181no—
1459C2×C4—1181no—
1460C2×C4—1181no—
1461C2×C4—1181no—
1462C2×C4—1181no—
1463C2×C4—1181no—
1464C2×C4—1181no—
1465C2×C4—1181no—
1466C2×C4—1181no—
1467C2×C4—1181no—
1468C2×C4—1181no—
1469C2×C4—1181no—
1470C2×C4—1181no—
1471C2×C4—1181no—
1472C2×C4—1181no—
1473C2×C4—1181no—
1474C2×C4—1181no—
1475C2×C4—1181no—
1476C2×C4—1181no—
1477C2×C4—1181no—
1478C2×C4—1181no—
1479C2×C4—1181no—
1480C2×C4—1181no—
1481C2×C4—1181no—
1482C2×C4—1181no—
1483C2×C4—1181no—
1484C2×C4—1181no—
1485C2×C4—1181no—
1486C2×C4—1181no—
1487C2×C4—1181no—
1488C2×C4—1181no—
1489C2×C4—1181no—
1490C2×C4—1181no—
1491C2×C4—1181no—
1492C2×C4—1181no—
1493C2×C4—4722no—
1494C2×C4—2364no—
1495C2×C4—2364no—
1496C2×C4—2364no—
1497C2×C4—2364no—
1498C2×C4—2364no—
1499C2×C4—2364no—
1500C2×C4—2364no—
1501C2×C4—2364no—
1502C2×C4—2364no—
1503C2×C4—2364no—
1504C2×C4—2364no—
1505C2×C4—2364no—
1506C2×C4C2×#1174568712yes—
1507C2×C4C2×#1174568712yes—
1508C22—232no—
1509C22—22no—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—22no—
1523C22—22no—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—2361no—
1535C22—2361no—
1536C22—2361no—
1537C22—2361no—
1538C22—2361no—
1539C22—2361no—
1540C22—2361no—
1541C22#1683793214yes—
1542C22#1683798514yes—
1543C22#1683799414yes—
1544C22C2×#41×D5911yescharacteristic
1545C22C22×#1174568711yescharacteristic
1546C22C22×#1174568511yescharacteristic
1547C22C2×#1427377211yescharacteristic
1548C22C2×#1427377211yescharacteristic
1549C22C2×#1427377311yescharacteristic
1550C22C2×#1427377411yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—1182no—
1563C4—1182no—
1564C4—2361no—
1565C4—2361no—
1566C4—2361no—
1567C4—2361no—
1568C4—2361no—
1569C4—2361no—
1570C4—2361no—
1571C4—2361no—
1572C4—2361no—
1573C4—2361no—
1574C4—2361no—
1575C4—2361no—
1576C4—2361no—
1577C2—24no—
1578C2—24no—
1579C2—24no—
1580C2—81no—
1581C2—4721no—
1582C2C2×#1683793211yescharacteristic
1583C2C2×#1683798511yescharacteristic
1584C2C2×#1683799411yescharacteristic
1585C2#2143777911yescharacteristic
1586C2#2143778311yescharacteristic
1587C2#2143779711yescharacteristic
1588C2#2143780211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC4×#120×C59C2
prime radical#21432376C2
hypercenterC4×#120D59
hypocenterC59#34997
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ C4×#120

Complements

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

NH ≅ G/Ntype
1. #21432390C2semidirect
2. #21432386C2semidirect
3. #21432381C2semidirect
5. #21430068C2semidirect
6. #21430052C2semidirect
7. #21430051C2semidirect
8. #21430026C2semidirect
9. #21428658C2semidirect
10. #21428650C2semidirect
11. #21428599C2semidirect
12. #21428591C2semidirect
13. #21428483C2semidirect
14. #21428475C2semidirect
15. #21428424C2semidirect
16. #21428416C2semidirect
17. #21427922C2semidirect
18. #21427914C2semidirect
19. #21427848C2semidirect
20. #21427840C2semidirect
21. #21427649C2semidirect
22. #21427641C2semidirect
23. #21427575C2semidirect
24. #21427567C2semidirect
25. #21426824C2semidirect
26. #21426794C2semidirect
27. #21426729C2semidirect
28. #21426723C2semidirect
29. C4×#14273696C2semidirect
30. C22×C59⋊#95C2semidirect
31. C4×#120×C59C2semidirect
48. C59⋊#401C22semidirect
49. C59⋊#401C22semidirect
50. #16837344C22semidirect
51. #16837344C22semidirect
52. #16837344C22semidirect
53. #16837343C22semidirect
54. #16837343C22semidirect
55. #16837343C22semidirect
56. #16837343C22semidirect
57. #16837342C22semidirect
58. #16837342C22semidirect
59. #16837341C22semidirect
60. #16837340C22semidirect
61. #16837340C22semidirect
62. #16837336C22semidirect
63. #16837335C22semidirect
64. #16837333C22semidirect
65. #16837332C22semidirect
66. #16837331C22semidirect
67. #16837331C22semidirect
68. #16837330C22semidirect
69. #16837330C22semidirect
70. #16837330C22semidirect
71. #16837329C22semidirect
72. #16837328C22semidirect
73. #16837327C22semidirect
74. #16837325C22semidirect
75. #16837324C22semidirect
76. #16837318C22semidirect
77. #16837317C22semidirect
78. #16837315C22semidirect
79. #16837314C22semidirect
80. #16837308C22semidirect
81. #16837306C22semidirect
82. #16837300C22semidirect
83. #16837299C22semidirect
84. #16837295C22semidirect
85. #16837295C22semidirect
86. #16837293C22semidirect
87. #16837293C22semidirect
88. #16837293C22semidirect
89. #16837290C22semidirect
90. #16837289C22semidirect
91. #16837288C22semidirect
92. #16837288C22semidirect
93. #16837286C22semidirect
94. #16837286C22semidirect
95. #16837286C22semidirect
96. #16837286C22semidirect
97. #16837286C22semidirect
98. #16837285C22semidirect
99. #16837283C22semidirect
110. #16837281C22semidirect
118. #16837278C22semidirect
129. #16837275C22semidirect
137. #16837273C22semidirect
138. #16837270C22semidirect
139. #16837269C22semidirect
140. #16837268C22semidirect
141. #16837266C22semidirect
142. #16837265C22semidirect
143. #16837264C22semidirect
148. #16837262C22semidirect
149. #16837261C22semidirect
812. C4×#120D59semidirect
981. C59#34997semidirect

Maximal subgroups

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

subgroupindex
#214323902
#214323862
#214323812
#214323762
#214300682
#214300522
#214300512
#214300262
#214286582
#214286502
#214285992
#214285912
#214284832
#214284752
#214284242
#214284162
#214279222
#214279142
#214278482
#214278402
#214276492
#214276412
#214275752
#214275672
#214268242
#214267942
#214267292
#214267232
C4×#142736962
C22×C59⋊#952
C4×#120×C592
#3499759