Finite Group Databasebeta

← #28796985

Subgroups — #28796985

Order 15104.

2186 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432383C211yesmaximal, characteristic, complemented
2#21431768C211yesmaximal, characteristic, complemented
3#21431330C211yesmaximal, characteristic, complemented
4#21431280C211yesmaximal, characteristic, complemented
5#21431275C211yesmaximal, characteristic, complemented
6#21431232C211yesmaximal, characteristic, complemented
7#21431069C211yesmaximal, characteristic, complemented
8#21430812C211yesmaximal, characteristic, complemented
9#21430810C211yesmaximal, characteristic, complemented
10#21430778C211yesmaximal, characteristic, complemented
11#21430647C211yesmaximal, characteristic, complemented
12#21430629C211yesmaximal, characteristic, complemented
13#21430602C211yesmaximal, characteristic, complemented
14#21430601C211yesmaximal, characteristic, complemented
15#21430572C211yesmaximal, characteristic, complemented
16#21430517C211yesmaximal, characteristic, complemented
17#21430448C211yesmaximal, characteristic, complemented
18#21430068C211yesmaximal, characteristic, complemented
19#21430051C211yesmaximal, characteristic, complemented
20#21428601C211yesmaximal, characteristic, complemented
21#21428341C211yesmaximal, characteristic, complemented
22#21427924C211yesmaximal, characteristic, complemented
23#21427761C211yesmaximal, characteristic, complemented
24#21427554C211yesmaximal, characteristic, complemented
25#21427491C211yesmaximal, characteristic, complemented
26#21427466C211yesmaximal, characteristic
27#21427421C211yesmaximal, characteristic, complemented
28#21426759C211yesmaximal, characteristic, complemented
29#21426707C211yesmaximal, characteristic, complemented
30C2×#16837281C211yesmaximal, characteristic, complemented
31C59×#2849C211yesmaximal, characteristic, complemented
32C23×C22⋊D59C2211yescharacteristic
33C2×#14273720C2211yescharacteristic, complemented
34C2×#14273709C2211yescharacteristic
35C2×#14273709C2211yescharacteristic
36C2×#14273709C2211yescharacteristic, complemented
37C2×#14273708C2211yescharacteristic, complemented
38C2×#14273706C2211yescharacteristic
39C2×#14273706C2211yescharacteristic, complemented
40C2×#14273706C2211yescharacteristic, complemented
41C2×#14273705C2211yescharacteristic, complemented
42C2×#14273698C2211yescharacteristic
43C2×#14273698C2211yescharacteristic
44C2×#14273695C2211yescharacteristic
45C2×D4×Dic59C2211yescharacteristic
46C22×C22⋊Dic59C2211yescharacteristic
47C22×(C2×D59)⋊C4C2211yescharacteristic
48C22×(C2×D59)⋊C4C2211yescharacteristic
49C2×C22⋊C4×D59C2211yescharacteristic
50C2×C22⋊C4×D59C2211yescharacteristic
51C59⋊#401C2211yescharacteristic, complemented
52#16837344C2211yescharacteristic, complemented
53#16837344C2211yescharacteristic, complemented
54#16837344C2211yescharacteristic, complemented
55#16837343C2211yescharacteristic, complemented
56#16837343C2211yescharacteristic, complemented
57#16837343C2211yescharacteristic, complemented
58#16837342C2211yescharacteristic, complemented
59#16837342C2211yescharacteristic, complemented
60#16837341C2211yescharacteristic, complemented
61#16837341C2211yescharacteristic, complemented
62#16837340C2211yescharacteristic, complemented
63#16837338C2211yescharacteristic, complemented
64#16837337C2211yescharacteristic, complemented
65#16837336C2211yescharacteristic, complemented
66#16837335C2211yescharacteristic, complemented
67#16837334C2211yescharacteristic, complemented
68#16837334C2211yescharacteristic, complemented
69#16837333C2211yescharacteristic, complemented
70#16837332C2211yescharacteristic, complemented
71#16837331C2211yescharacteristic, complemented
72#16837330C2211yescharacteristic, complemented
73#16837330C2211yescharacteristic, complemented
74#16837330C2211yescharacteristic, complemented
75#16837330C2211yescharacteristic, complemented
76#16837329C2211yescharacteristic, complemented
77#16837327C2211yescharacteristic, complemented
78#16837327C2211yescharacteristic, complemented
79#16837327C2211yescharacteristic, complemented
80#16837326C2211yescharacteristic, complemented
81#16837325C2211yescharacteristic, complemented
82#16837325C2211yescharacteristic, complemented
83#16837325C2211yescharacteristic, complemented
84#16837324C2211yescharacteristic, complemented
85#16837318C2211yescharacteristic
86#16837318C2211yescharacteristic
87#16837318C2211yescharacteristic
88#16837318C2211yescharacteristic
89#16837318C2211yescharacteristic, complemented
90#16837317C2211yescharacteristic
91#16837317C2211yescharacteristic
92#16837317C2211yescharacteristic, complemented
93#16837316C2211yescharacteristic, complemented
94#16837316C2211yescharacteristic, complemented
95#16837315C2211yescharacteristic, complemented
96#16837314C2211yescharacteristic, complemented
97#16837310C2211yescharacteristic
98#16837310C2211yescharacteristic
99#16837306C2211yescharacteristic, complemented
100#16837302C2211yescharacteristic, complemented
101#16837302C2211yescharacteristic, complemented
102#16837301C2211yescharacteristic, complemented
103#16837296C2211yescharacteristic, complemented
104#16837295C2211yescharacteristic, complemented
105#16837294C2211yescharacteristic, complemented
106#16837294C2211yescharacteristic, complemented
107#16837291C2211yescharacteristic, complemented
108#16837291C2211yescharacteristic, complemented
109#16837290C2211yescharacteristic, complemented
110#16837290C2211yescharacteristic, complemented
111#16837290C2211yescharacteristic, complemented
112#16837289C2211yescharacteristic, complemented
113#16837285C2211yescharacteristic, complemented
114#16837285C2211yescharacteristic, complemented
115#16837282C2211yescharacteristic
116#16837282C2211yescharacteristic
117#16837282C2211yescharacteristic, complemented
118#16837281C2211yescharacteristic
119#16837281C2211yescharacteristic
120#16837281C2211yescharacteristic
121#16837281C2211yescharacteristic
122#16837281C2211yescharacteristic
123#16837281C2211yescharacteristic
124#16837281C2211yescharacteristic
125#16837281C2211yescharacteristic
126#16837279C2211yescharacteristic, complemented
127#16837279C2211yescharacteristic, complemented
128#16837278C2211yescharacteristic
129#16837278C2211yescharacteristic
130#16837278C2211yescharacteristic
131#16837278C2211yescharacteristic
132#16837278C2211yescharacteristic, complemented
133#16837277C2211yescharacteristic
134#16837277C2211yescharacteristic
135#16837277C2211yescharacteristic
136#16837277C2211yescharacteristic, complemented
137#16837276C2211yescharacteristic, complemented
138#16837276C2211yescharacteristic, complemented
139#16837276C2211yescharacteristic, complemented
140#16837276C2211yescharacteristic, complemented
141#16837275C2211yescharacteristic
142#16837275C2211yescharacteristic
143#16837275C2211yescharacteristic, complemented
144#16837275C2211yescharacteristic, complemented
145#16837275C2211yescharacteristic, complemented
146#16837275C2211yescharacteristic, complemented
147#16837274C2211yescharacteristic
148#16837274C2211yescharacteristic
149#16837274C2211yescharacteristic
150#16837273C2211yescharacteristic, complemented
151#16837273C2211yescharacteristic, complemented
152#16837273C2211yescharacteristic, complemented
153#16837267C2211yescharacteristic, complemented
154#16837264C2211yescharacteristic, complemented
155#16837262C2211yescharacteristic
156#16837262C2211yescharacteristic, complemented
157#16837262C2211yescharacteristic, complemented
158#16837261C2211yescharacteristic, complemented
159#16837261C2211yescharacteristic, complemented
160#16837261C2211yescharacteristic, complemented
161#16837260C2211yescharacteristic
162#16837260C2211yescharacteristic
163#16837260C2211yescharacteristic, complemented
164#16837259C2211yescharacteristic, complemented
165#16837259C2211yescharacteristic, complemented
166#16837258C2211yescharacteristic
167#16837258C2211yescharacteristic
168#16837257C2211yescharacteristic
169C22⋊C4×Dic59C2211yescharacteristic
170C2×C59⋊#95C2211yescharacteristic
171C2×C59⋊#95C2211yescharacteristic
172C24×C4×C59C2211yescharacteristic
173C2×#123×C59C2211yescharacteristic, complemented
174C2×#123×C59C2211yescharacteristic, complemented
175C2×#120×C59C2211yescharacteristic
176C59×#386C2211yescharacteristic
177C59×#386C2211yescharacteristic
178C59×#386C2211yescharacteristic, complemented
179C59×#386C2211yescharacteristic, complemented
180C59×#385C2211yescharacteristic
181C59×#385C2211yescharacteristic
182C59×#385C2211yescharacteristic, complemented
183C59×#385C2211yescharacteristic, complemented
184C59×#381C2211yescharacteristic, complemented
185C59×#381C2211yescharacteristic, complemented
186C59×#379C2211yescharacteristic
187C24×D59C2311yescharacteristic
188C22×Dic118C2311yescharacteristic
189C22×C22⋊D59—24no—
190C22×C22⋊D59—42no—
191C22×C22⋊D59—42no—
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C23×Dic59C2311yescharacteristic
199C23×Dic59C2311yescharacteristic
200C23×Dic59C2311yescharacteristic
201C23×Dic59C2311yescharacteristic
202C22×C4×D59C2311yescharacteristic
203C22×C4×D59C2311yescharacteristic
204C22×C4×D59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206#14273720—42no—
207#14273709—42no—
208#14273709—42no—
209#14273709—42no—
210#14273708—42no—
211#14273706—42no—
212#14273706—42no—
213#14273706—42no—
214#14273705—42no—
215#14273698—42no—
216#14273698—42no—
217#14273695—24no—
218D4×Dic59—42no—
219C2×C4⋊Dic59C2311yescharacteristic
220C2×C4⋊Dic59C2311yescharacteristic
221C2×C4⋊Dic59C2311yescharacteristic
222C2×C4⋊Dic59C2311yescharacteristic
223C2×C4⋊Dic59C2311yescharacteristic
224C2×C4⋊Dic59C2311yescharacteristic
225C2×C4⋊Dic59C2311yescharacteristic
226C2×C4⋊Dic59C2311yescharacteristic
227C2×C4⋊Dic59C2311yescharacteristic
228C2×C4⋊Dic59C2311yescharacteristic
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
241C2×Dic59⋊C4C2311yescharacteristic
242C2×Dic59⋊C4C2311yescharacteristic
243C2×Dic59⋊C4C2311yescharacteristic
244C2×Dic59⋊C4C2311yescharacteristic
245C2×C22⋊Dic59—42no—
246C2×C22⋊Dic59C2311yescharacteristic
247C2×C22⋊Dic59C2311yescharacteristic
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×C22⋊Dic59C2311yescharacteristic
265C2×C22⋊Dic59C2311yescharacteristic
266C2×C22⋊Dic59C2311yescharacteristic
267C2×(C2×D59)⋊C4—42no—
268C2×(C2×D59)⋊C4—42no—
269C2×(C2×D59)⋊C4C2311yescharacteristic
270C2×(C2×D59)⋊C4C2311yescharacteristic
271C2×(C2×D59)⋊C4C2311yescharacteristic
272C2×(C2×D59)⋊C4C2311yescharacteristic
273C2×(C2×D59)⋊C4C2311yescharacteristic
274C2×(C2×D59)⋊C4C2311yescharacteristic
275C2×(C2×D59)⋊C4C2311yescharacteristic
276C2×(C2×D59)⋊C4C2311yescharacteristic
277C2×(C2×D59)⋊C4C2311yescharacteristic
278C2×(C2×D59)⋊C4C2311yescharacteristic
279C2×(C2×D59)⋊C4C2311yescharacteristic
280C2×(C2×D59)⋊C4C2311yescharacteristic
281C2×(C2×D59)⋊C4C2311yescharacteristic
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×(C2×D59)⋊C4C2311yescharacteristic
284C2×(C2×D59)⋊C4C2311yescharacteristic
285C2×(C2×D59)⋊C4C2311yescharacteristic
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C22⋊C4×D59—24no—
288C22⋊C4×D59—42no—
289C2×C4×Dic59C2311yescharacteristic
290C2×C4×Dic59C2311yescharacteristic
291C2×C4×Dic59C2311yescharacteristic
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
328C25×C59C2311yescharacteristic
329C22×D4×C59C2311yescharacteristic
330C22×D4×C59C2311yescharacteristic
331C22×D4×C59C2311yescharacteristic
332C23×C4×C59—42no—
333C23×C4×C59—42no—
334C23×C4×C59—42no—
335C23×C4×C59C2311yescharacteristic
336C23×C4×C59C2311yescharacteristic
337C23×C4×C59C2311yescharacteristic
338C23×C4×C59C2311yescharacteristic
339C23×C4×C59C2311yescharacteristic
340C23×C4×C59C2311yescharacteristic
341#123×C59—42no—
342#123×C59—42no—
343#120×C59—42no—
344C2×C4⋊C4×C59C2311yescharacteristic
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×C22⋊C4×C59C2311yescharacteristic
361#95×C59C2311yescharacteristic
362#95×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—41no—
375C24×C59—41no—
376C24×C59C2411yescharacteristic
377C24×C59C2411yescharacteristic
378C24×C59C2411yescharacteristic
379C24×C59C2411yescharacteristic
380C23×D59—22no—
381C23×D59—22no—
382C23×D59—41no—
383C23×D59—41no—
384C23×D59—41no—
385C23×D59—41no—
386C23×D59#4114yes—
387C23×D59C2411yescharacteristic
388C23×D59C2411yescharacteristic
389C2×D4×C59—22no—
390C2×D4×C59—22no—
391C2×D4×C59—22no—
392C2×D4×C59—22no—
393C2×D4×C59—22no—
394C2×D4×C59—41no—
395C2×D4×C59—41no—
396C2×D4×C59—41no—
397C2×D4×C59—41no—
398C22×C4×C59—22no—
399C22×C4×C59—22no—
400C22×C4×C59—22no—
401C22×C4×C59—22no—
402C22×C4×C59—22no—
403C22×C4×C59—22no—
404C22×C4×C59—22no—
405C22×C4×C59—41no—
406C22×C4×C59—41no—
407C22×C4×C59—41no—
408C22×C4×C59—41no—
409C22×C4×C59—41no—
410C22×C4×C59—41no—
411C22×C4×C59—41no—
412C22×C4×C59—41no—
413C22×C4×C59—41no—
414C22×C4×C59—41no—
415C22×C4×C59—41no—
416C22×C4×C59—416no—
417C22×C4×C59C2411yescharacteristic
418C22×C4×C59C2411yescharacteristic
419C22×C4×C59C2411yescharacteristic
420C22×C4×C59C2411yescharacteristic
421C22×C4×C59C2411yescharacteristic
422C22×C4×C59C2411yescharacteristic
423C22×C4×C59C2411yescharacteristic
424C22×C4×C59C2411yescharacteristic
425C22×C4×C59C2411yescharacteristic
426C22×C4×C59C2411yescharacteristic
427C22×C4×C59C2411yescharacteristic
428C2×C22⋊D59—22no—
429C2×C22⋊D59—22no—
430C2×C22⋊D59—22no—
431C2×C22⋊D59—22no—
432C2×C22⋊D59—22no—
433C2×C22⋊D59—22no—
434C2×C22⋊D59—22no—
435C2×C22⋊D59—22no—
436C2×C22⋊D59—22no—
437C2×C22⋊D59—22no—
438C2×C22⋊D59—41no—
439C2×C22⋊D59—41no—
440C2×C22⋊D59—41no—
441C2×C22⋊D59—41no—
442C2×C22⋊D59—41no—
443C2×C22⋊D59—41no—
444C2×C22⋊D59—41no—
445C2×C22⋊D59—41no—
446C2×C22⋊D59—416no—
447C22×Dic59—22no—
448C22×Dic59—22no—
449C22×Dic59—22no—
450C22×Dic59—41no—
451C22×Dic59—41no—
452C22×Dic59—41no—
453C22×Dic59—41no—
454C22×Dic59—41no—
455C22×Dic59—41no—
456C22×Dic59—41no—
457C22×Dic59—41no—
458C22×Dic59—41no—
459C22×Dic59C2411yescharacteristic
460C22×Dic59C2411yescharacteristic
461C22×Dic59C2411yescharacteristic
462C22×Dic59C2411yescharacteristic
463C22×Dic59C2411yescharacteristic
464C22×Dic59C2411yescharacteristic
465C22×Dic59C2411yescharacteristic
466C22×Dic59C2411yescharacteristic
467C22×Dic59C2411yescharacteristic
468C22×Dic59C2411yescharacteristic
469C22×Dic59C2411yescharacteristic
470C22×Dic59C2411yescharacteristic
471C22×Dic59C2411yescharacteristic
472C22×Dic59C2411yescharacteristic
473C2×C4×D59—22no—
474C2×C4×D59—22no—
475C2×C4×D59—41no—
476C2×C4×D59—41no—
477C2×C4×D59—41no—
478C2×C4×D59—41no—
479C2×C4×D59—41no—
480C2×C4×D59—41no—
481C2×C4×D59—41no—
482C2×C4×D59—41no—
483C2×C4×D59—41no—
484C2×C4×D59—41no—
485C2×Dic118—22no—
486C2×Dic118—41no—
487C2×Dic118—41no—
488C4⋊C4×C59—22no—
489C4⋊C4×C59—41no—
490C4⋊C4×C59—41no—
491C4⋊C4×C59—41no—
492C22⋊C4×C59—22no—
493C22⋊C4×C59—22no—
494C22⋊C4×C59—22no—
495C22⋊C4×C59—22no—
496C22⋊C4×C59—22no—
497C22⋊C4×C59—22no—
498C22⋊C4×C59—41no—
499C22⋊C4×C59—41no—
500C22⋊C4×C59—41no—
501C22⋊C4×C59—41no—
502C22⋊C4×C59—41no—
503C22⋊C4×C59—41no—
504C22⋊C4×C59—41no—
505C22⋊Dic59—22no—
506C22⋊Dic59—22no—
507C22⋊Dic59—22no—
508C22⋊Dic59—22no—
509C22⋊Dic59—22no—
510C22⋊Dic59—22no—
511C22⋊Dic59—22no—
512C22⋊Dic59—22no—
513C22⋊Dic59—22no—
514C22⋊Dic59—22no—
515C22⋊Dic59—41no—
516C22⋊Dic59—41no—
517C22⋊Dic59—41no—
518C22⋊Dic59—41no—
519C22⋊Dic59—41no—
520C22⋊Dic59—41no—
521C22⋊Dic59—41no—
522C22⋊Dic59—41no—
523C22⋊Dic59—41no—
524C22⋊Dic59—41no—
525C22⋊Dic59—41no—
526(C2×D59)⋊C4—22no—
527(C2×D59)⋊C4—22no—
528(C2×D59)⋊C4—22no—
529(C2×D59)⋊C4—22no—
530(C2×D59)⋊C4—22no—
531(C2×D59)⋊C4—22no—
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—
538(C2×D59)⋊C4—41no—
539(C2×D59)⋊C4—41no—
540(C2×D59)⋊C4—41no—
541(C2×D59)⋊C4—41no—
542(C2×D59)⋊C4—41no—
543(C2×D59)⋊C4—41no—
544C4⋊Dic59—22no—
545C4⋊Dic59—41no—
546C4⋊Dic59—41no—
547C4⋊Dic59—41no—
548C4⋊Dic59—41no—
549C4⋊Dic59—41no—
550C4⋊Dic59—41no—
551C4⋊Dic59—41no—
552C4⋊Dic59—41no—
553C4⋊Dic59—41no—
554Dic59⋊C4—41no—
555Dic59⋊C4—41no—
556Dic59⋊C4—41no—
557Dic59⋊C4—41no—
558Dic59⋊C4—41no—
559Dic59⋊C4—41no—
560Dic59⋊C4—41no—
561Dic59⋊C4—41no—
562Dic59⋊C4—41no—
563Dic59⋊C4—41no—
564Dic59⋊C4—41no—
565Dic59⋊C4—41no—
566Dic59⋊C4—41no—
567Dic59⋊C4—41no—
568Dic59⋊C4—41no—
569Dic59⋊C4—41no—
570C4×Dic59—41no—
571C4×Dic59—41no—
572C4×Dic59—41no—
573C23×C59—21no—
574C23×C59—21no—
575C23×C59—21no—
576C23×C59—21no—
577C23×C59—28no—
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×C59—21no—
591C23×C59—21no—
592C23×C59—21no—
593C23×C59—21no—
594C23×C59—21no—
595C23×C59—21no—
596C23×C59—21no—
597C23×C59—44no—
598C23×C59—44no—
599C23×C59—44no—
600C23×C59—44no—
601C23×C59—44no—
602C23×C59—44no—
603C23×C59C2×#4112yes—
604C23×C59H(5,𝔽2)12yes—
605C23×C59H(5,𝔽2)12yes—
606C23×C59H(5,𝔽2)12yes—
607C23×C592−1+412yes—
608C23×C59C2511yescharacteristic
609C22×D59—21no—
610C22×D59—21no—
611C22×D59—21no—
612C22×D59—21no—
613C22×D59—21no—
614C22×D59—21no—
615C22×D59—21no—
616C22×D59—21no—
617C22×D59—21no—
618C22×D59—21no—
619C22×D59—21no—
620C22×D59—21no—
621C22×D59—28no—
622C22×D59—44no—
623C22×D59—44no—
624C22×D59—82no—
625C22×D59—82no—
626C22×D59—82no—
627C22×D59—82no—
628C22×D59C2×#4112yes—
629C22×D59C2×#4112yes—
630D4×C59—44no—
631D4×C59—82no—
632D4×C59—82no—
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—21no—
642C2×C4×C59—21no—
643C2×C4×C59—21no—
644C2×C4×C59—21no—
645C2×C4×C59—21no—
646C2×C4×C59—21no—
647C2×C4×C59—21no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—21no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59—21no—
665C2×C4×C59—44no—
666C2×C4×C59—44no—
667C2×C4×C59—44no—
668C2×C4×C59—44no—
669C2×C4×C59—44no—
670C2×C4×C59—44no—
671C2×C4×C59H(5,𝔽2)12yes—
672C22⋊D59—44no—
673C22⋊D59—44no—
674C22⋊D59—44no—
675C22⋊D59—44no—
676C22⋊D59—82no—
677C22⋊D59—82no—
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—21no—
698C2×Dic59—21no—
699C2×Dic59—21no—
700C2×Dic59—21no—
701C2×Dic59—21no—
702C2×Dic59—21no—
703C2×Dic59—21no—
704C2×Dic59—21no—
705C2×Dic59—21no—
706C2×Dic59—21no—
707C2×Dic59—21no—
708C2×Dic59—21no—
709C2×Dic59—21no—
710C2×Dic59—21no—
711C2×Dic59—21no—
712C2×Dic59—21no—
713C2×Dic59—21no—
714C2×Dic59—21no—
715C2×Dic59—21no—
716C2×Dic59—21no—
717C2×Dic59—21no—
718C2×Dic59—21no—
719C2×Dic59—21no—
720C2×Dic59—44no—
721C2×Dic59—82no—
722C2×Dic59—82no—
723C2×Dic59—82no—
724C4×D59—82no—
725C4×D59—82no—
726C4×D59—82no—
727C4×D59—82no—
728Dic118—82no—
729#36775—591nomaximal, Sylow
730C22×C59—22no—
731C22×C59—22no—
732C22×C59—22no—
733C22×C59—22no—
734C22×C59—22no—
735C22×C59—22no—
736C22×C59—22no—
737C22×C59—22no—
738C22×C59—22no—
739C22×C59—22no—
740C22×C59—22no—
741C22×C59—22no—
742C22×C59—416no—
743C22×C59—41no—
744C22×C59—41no—
745C22×C59—41no—
746C22×C59—41no—
747C22×C59—41no—
748C22×C59—41no—
749C22×C59—41no—
750C22×C59—41no—
751C22×C59—41no—
752C22×C59—41no—
753C22×C59—41no—
754C22×C59—41no—
755C22×C59—41no—
756C22×C59—41no—
757C22×C59—41no—
758C22×C59#53914yes—
759C22×C59C22×#4111yescharacteristic
760C22×C59C2×H(5,𝔽2)11yescharacteristic
761C22×C59C2×H(5,𝔽2)11yescharacteristic
762C22×C59C2×H(5,𝔽2)11yescharacteristic
763C22×C59C2×H(5,𝔽2)11yescharacteristic
764C22×C59C2×2−1+411yescharacteristic
765C22×C59#58511yescharacteristic
766C2×D59—22no—
767C2×D59—22no—
768C2×D59—22no—
769C2×D59—22no—
770C2×D59—22no—
771C2×D59—22no—
772C2×D59—41no—
773C2×D59—41no—
774C2×D59—41no—
775C2×D59—41no—
776C2×D59—41no—
777C2×D59—41no—
778C2×D59—41no—
779C2×D59—41no—
780C2×D59—88no—
781C4×C59—22no—
782C4×C59—41no—
783C4×C59—41no—
784C4×C59—41no—
785C4×C59—41no—
786C4×C59—41no—
787C4×C59—41no—
788C4×C59—41no—
789C4×C59—41no—
790C4×C59—41no—
791C4×C59—41no—
792Dic59—41no—
793Dic59—41no—
794Dic59—41no—
795Dic59—41no—
796Dic59—41no—
797Dic59—41no—
798Dic59—41no—
799Dic59—41no—
800Dic59—41no—
801Dic59—41no—
802Dic59—41no—
803Dic59—41no—
804Dic59—41no—
805Dic59—41no—
806#2849D5911yescharacteristic, complemented
807#2848—591no—
808#2782—591no—
809#2750—591no—
810#2746—591no—
811#2746—591no—
812#2743—591no—
813#2728—591no—
814#2708—591no—
815#2708—591no—
816#2706—591no—
817#2696—591no—
818#2695—591no—
819#2693—591no—
820#2693—591no—
821#2691—591no—
822#2687—591no—
823#2681—591no—
824#2646—591no—
825#2643—591no—
826#2505—591no—
827#2480—591no—
828#2450—591no—
829#2437—591no—
830#2418—591no—
831#2412—591no—
832#2410—591no—
833#2405—591no—
834#2321—591no—
835#2315—591no—
836C2×#386—591no—
837C2×C59—24no—
838C2×C59—42no—
839C2×C59—42no—
840C2×C59—81no—
841C2×C59C2×#53911yescharacteristic
842C2×C59#349011yescharacteristic
843C2×C59#350511yescharacteristic
844C2×C59#353211yescharacteristic
845C2×C59#353411yescharacteristic
846C2×C59#353511yescharacteristic
847C2×C59#353611yescharacteristic
848D59—42no—
849D59—42no—
850C23×D4—591no—
851C24×C4C2×D5911yescharacteristic
852C2×#126—591no—
853C2×#123—591no—
854C2×#123—591no—
855C2×#123—591no—
856C2×#123—591no—
857C2×#123C2×D5911yescharacteristic, complemented
858C2×#123C2×D5911yescharacteristic, complemented
859C2×C22⋊Q8—591no—
860C2×C22⋊Q8—591no—
861C2×C22⋊Q8—591no—
862C2×C22⋊Q8—591no—
863C2×#121—591no—
864C2×#121—591no—
865C2×#120—591no—
866C2×#120C2×D5911yescharacteristic
867C2×C4×D4—591no—
868C22×C22⋊C4—591no—
869C22×C22⋊C4—591no—
870C22×C22⋊C4—591no—
871C22×C22⋊C4—591no—
872C22×C22⋊C4—591no—
873#401—591no—
874#400—591no—
875#400—591no—
876#400—591no—
877#400—591no—
878#400—591no—
879#400—591no—
880#400—591no—
881#400—591no—
882#400—591no—
883#400—591no—
884#400—591no—
885#399—591no—
886#399—591no—
887#398—591no—
888#398—591no—
889#398—591no—
890#398—591no—
891#398—591no—
892#398—591no—
893#397—591no—
894#397—591no—
895#397—591no—
896#397—591no—
897#397—591no—
898#397—591no—
899#397—591no—
900#397—591no—
901#397—591no—
902#396—591no—
903#396—591no—
904#396—591no—
905#396—591no—
906#396—591no—
907#394—591no—
908#394—591no—
909#394—591no—
910#394—591no—
911#394—591no—
912#394—591no—
913#394—591no—
914#394—591no—
915#394—591no—
916#394—591no—
917#393—591no—
918#393—591no—
919#392—591no—
920#392—591no—
921#391—591no—
922#390—591no—
923#390—591no—
924#389—591no—
925#388—591no—
926#388—591no—
927#388—591no—
928#388—591no—
929#388—591no—
930#388—591no—
931#388—591no—
932#388—591no—
933#388—591no—
934#387—591no—
935#387—591no—
936#387—591no—
937#386—591no—
938#386—591no—
939#386—591no—
940#386—591no—
941#386—591no—
942#386—591no—
943#386—591no—
944#386—591no—
945#386—591no—
946#386—591no—
947#386—591no—
948#386—591no—
949#386—591no—
950#386—591no—
951#386—591no—
952#386—591no—
953#386—591no—
954#386—591no—
955#386C2×D5911yescharacteristic
956#386C2×D5911yescharacteristic
957#386C2×D5911yescharacteristic, complemented
958#386C2×D5911yescharacteristic, complemented
959#385—591no—
960#385—591no—
961#385—591no—
962#385—591no—
963#385—591no—
964#385—591no—
965#385—591no—
966#385—591no—
967#385—591no—
968#385—591no—
969#385—591no—
970#385—591no—
971#385—591no—
972#385—591no—
973#385—591no—
974#385—591no—
975#385—591no—
976#385—591no—
977#385—591no—
978#385—591no—
979#385C2×D5911yescharacteristic
980#385C2×D5911yescharacteristic
981#385C2×D5911yescharacteristic, complemented
982#385C2×D5911yescharacteristic, complemented
983#382—591no—
984#381—591no—
985#381C2×D5911yescharacteristic, complemented
986#381C2×D5911yescharacteristic, complemented
987#380—591no—
988#380—591no—
989#380—591no—
990#380—591no—
991#380—591no—
992#380—591no—
993#380—591no—
994#380—591no—
995#380—591no—
996#380—591no—
997#380—591no—
998#379—591no—
999#379—591no—
1000#379—591no—
1001#379C2×D5911yescharacteristic
1002C4×C22⋊C4—591no—
1003C2×#95—591no—
1004C2×#95—591no—
1005C59#3677511yescharacteristic, complemented, Sylow
1006C25—591no—
1007C25C22×D5911yescharacteristic
1008C22×Q8—591no—
1009C22×D4—591no—
1010C22×D4—591no—
1011C22×D4—591no—
1012C22×D4—591no—
1013C22×D4—591no—
1014C22×D4—591no—
1015C22×D4—1184no—
1016C22×D4—2362no—
1017C22×D4—2362no—
1018C22×D4C22×D5911yescharacteristic
1019C22×D4C22×D5911yescharacteristic
1020C22×D4C22×D5911yescharacteristic
1021C23×C4—42no—
1022C23×C4—42no—
1023C23×C4—42no—
1024C23×C4—591no—
1025C23×C4—591no—
1026C23×C4—591no—
1027C23×C4—591no—
1028C23×C4—591no—
1029C23×C4—591no—
1030C23×C4—591no—
1031C23×C4—591no—
1032C23×C4C22×D5911yescharacteristic
1033C23×C4C22×D5911yescharacteristic
1034C23×C4C22×D5911yescharacteristic
1035C23×C4C22×D5911yescharacteristic
1036C23×C4C22×D5911yescharacteristic
1037C23×C4C22×D5911yescharacteristic
1038#126—2362no—
1039#123—42no—
1040#123—42no—
1041#123—2362no—
1042#123—2362no—
1043#123—2362no—
1044#123—2362no—
1045C22⋊Q8—2362no—
1046C22⋊Q8—2362no—
1047C22⋊Q8—2362no—
1048C22⋊Q8—2362no—
1049#121—2362no—
1050#121—2362no—
1051#120—42no—
1052#120—1184no—
1053C4×D4—2362no—
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⋊C4—591no—
1062C2×C4⋊C4—591no—
1063C2×C4⋊C4—591no—
1064C2×C4⋊C4—591no—
1065C2×C4⋊C4—591no—
1066C2×C4⋊C4—591no—
1067C2×C4⋊C4—591no—
1068C2×C4⋊C4—591no—
1069C2×C4⋊C4—591no—
1070C2×C4⋊C4—591no—
1071C2×C4⋊C4—591no—
1072C2×C4⋊C4—591no—
1073C2×C4⋊C4—591no—
1074C2×C4⋊C4—591no—
1075C2×C4⋊C4—591no—
1076C2×C4⋊C4—591no—
1077C2×C4⋊C4—591no—
1078C2×C4⋊C4—591no—
1079C2×C4⋊C4—591no—
1080C2×C4⋊C4C22×D5911yescharacteristic
1081C2×C4⋊C4C22×D5911yescharacteristic
1082C2×C4⋊C4C22×D5911yescharacteristic
1083C2×C4⋊C4C22×D5911yescharacteristic
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⋊C4—591no—
1091C2×C22⋊C4—591no—
1092C2×C22⋊C4—591no—
1093C2×C22⋊C4—591no—
1094C2×C22⋊C4—591no—
1095C2×C22⋊C4—591no—
1096C2×C22⋊C4—591no—
1097C2×C22⋊C4—591no—
1098C2×C22⋊C4—591no—
1099C2×C22⋊C4—591no—
1100C2×C22⋊C4—591no—
1101C2×C22⋊C4—591no—
1102C2×C22⋊C4—591no—
1103C2×C22⋊C4—591no—
1104C2×C22⋊C4—591no—
1105C2×C22⋊C4—591no—
1106C2×C22⋊C4—591no—
1107C2×C22⋊C4—591no—
1108C2×C22⋊C4—591no—
1109C2×C22⋊C4—591no—
1110C2×C22⋊C4—591no—
1111C2×C22⋊C4—591no—
1112C2×C22⋊C4—591no—
1113C2×C22⋊C4—591no—
1114C2×C22⋊C4—591no—
1115C2×C22⋊C4—591no—
1116C2×C22⋊C4—591no—
1117C2×C22⋊C4—591no—
1118C2×C22⋊C4—591no—
1119C2×C22⋊C4—591no—
1120C2×C22⋊C4—591no—
1121C2×C22⋊C4—591no—
1122C2×C22⋊C4—591no—
1123C2×C22⋊C4—1184no—
1124C2×C22⋊C4—2362no—
1125C2×C22⋊C4—2362no—
1126C2×C22⋊C4—2362no—
1127C2×C22⋊C4—2362no—
1128C2×C22⋊C4C22×D5911yescharacteristic
1129C2×C22⋊C4C22×D5911yescharacteristic
1130C2×C22⋊C4C22×D5911yescharacteristic
1131C2×C22⋊C4C22×D5911yescharacteristic
1132C2×C22⋊C4C22×D5911yescharacteristic
1133C2×C22⋊C4C22×D5911yescharacteristic
1134C2×C22⋊C4C22×D5911yescharacteristic
1135C2×C22⋊C4C22×D5911yescharacteristic
1136C2×C22⋊C4C22×D5911yescharacteristic
1137C2×C22⋊C4C22×D5911yescharacteristic
1138C2×C22⋊C4C22×D5911yescharacteristic
1139C2×C22⋊C4C22×D5911yescharacteristic
1140C2×C22⋊C4C22×D5911yescharacteristic
1141C2×C42—591no—
1142C2×C42—591no—
1143C2×C42—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#95—591no—
1159#95—591no—
1160#95—591no—
1161#95—591no—
1162#95—591no—
1163#95—591no—
1164#95—591no—
1165#95—591no—
1166#95—591no—
1167#95—591no—
1168#95—591no—
1169#95—591no—
1170#95—591no—
1171#95—591no—
1172#95—591no—
1173#95—591no—
1174#95—591no—
1175#95—591no—
1176#95—591no—
1177#95—591no—
1178#95—591no—
1179#95—591no—
1180#95C22×D5911yescharacteristic
1181#95C22×D5911yescharacteristic
1182#95C22×D5911yescharacteristic
1183#95C22×D5911yescharacteristic
1184#95C22×D5911yescharacteristic
1185#95C22×D5911yescharacteristic
1186#95C22×D5911yescharacteristic
1187#95C22×D5911yescharacteristic
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—22no—
1192C24—22no—
1193C24—41no—
1194C24—41no—
1195C24—591no—
1196C24—591no—
1197C24—594no—
1198C24—1182no—
1199C24—1182no—
1200C24—2361no—
1201C24—2361no—
1202C24—2361no—
1203C24—2361no—
1204C24C23×D5911yescharacteristic
1205C24C23×D5911yescharacteristic
1206C24C23×D5911yescharacteristic
1207C24C23×D5911yescharacteristic
1208C2×Q8—1182no—
1209C2×Q8—2361no—
1210C2×Q8—2361no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—1182no—
1221C2×D4—1182no—
1222C2×D4—1182no—
1223C2×D4—1182no—
1224C2×D4—1182no—
1225C2×D4—1182no—
1226C2×D4—1182no—
1227C2×D4—1182no—
1228C2×D4—1182no—
1229C2×D4—1182no—
1230C2×D4—2361no—
1231C2×D4—2361no—
1232C2×D4—2361no—
1233C2×D4—2361no—
1234C2×D4—2361no—
1235C2×D4—2361no—
1236C2×D4—2361no—
1237C2×D4—2361no—
1238C2×D4—23616no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—416no—
1258C22×C4—591no—
1259C22×C4—591no—
1260C22×C4—591no—
1261C22×C4—591no—
1262C22×C4—591no—
1263C22×C4—591no—
1264C22×C4—591no—
1265C22×C4—591no—
1266C22×C4—591no—
1267C22×C4—591no—
1268C22×C4—591no—
1269C22×C4—591no—
1270C22×C4—591no—
1271C22×C4—591no—
1272C22×C4—1182no—
1273C22×C4—1182no—
1274C22×C4—1182no—
1275C22×C4—1182no—
1276C22×C4—1182no—
1277C22×C4—2361no—
1278C22×C4—2361no—
1279C22×C4—2361no—
1280C22×C4—2361no—
1281C22×C4—2361no—
1282C22×C4—2361no—
1283C22×C4—2361no—
1284C22×C4—2361no—
1285C22×C4—2361no—
1286C22×C4—2361no—
1287C22×C4—2361no—
1288C22×C4—2361no—
1289C22×C4—2361no—
1290C22×C4—2361no—
1291C22×C4—2361no—
1292C22×C4—2361no—
1293C22×C4—2361no—
1294C22×C4—2361no—
1295C22×C4—2361no—
1296C22×C4C23×D5911yescharacteristic
1297C22×C4C23×D5911yescharacteristic
1298C22×C4C23×D5911yescharacteristic
1299C22×C4C23×D5911yescharacteristic
1300C22×C4C23×D5911yescharacteristic
1301C22×C4C23×D5911yescharacteristic
1302C22×C4C23×D5911yescharacteristic
1303C22×C4C23×D5911yescharacteristic
1304C22×C4C23×D5911yescharacteristic
1305C22×C4C23×D5911yescharacteristic
1306C22×C4C23×D5911yescharacteristic
1307C4⋊C4—22no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—1182no—
1312C4⋊C4—2361no—
1313C4⋊C4—2361no—
1314C4⋊C4—2361no—
1315C4⋊C4—2361no—
1316C4⋊C4—2361no—
1317C4⋊C4—2361no—
1318C4⋊C4—2361no—
1319C4⋊C4—2361no—
1320C4⋊C4—2361no—
1321C4⋊C4—2361no—
1322C4⋊C4—2361no—
1323C4⋊C4—2361no—
1324C4⋊C4—2361no—
1325C4⋊C4—2361no—
1326C4⋊C4—2361no—
1327C4⋊C4—2361no—
1328C4⋊C4—2361no—
1329C4⋊C4—2361no—
1330C4⋊C4—2361no—
1331C4⋊C4—2361no—
1332C4⋊C4—2361no—
1333C4⋊C4—2361no—
1334C4⋊C4—2361no—
1335C4⋊C4—2361no—
1336C4⋊C4—2361no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—1182no—
1351C22⋊C4—1182no—
1352C22⋊C4—1182no—
1353C22⋊C4—1182no—
1354C22⋊C4—1182no—
1355C22⋊C4—1182no—
1356C22⋊C4—1182no—
1357C22⋊C4—1182no—
1358C22⋊C4—1182no—
1359C22⋊C4—1182no—
1360C22⋊C4—1182no—
1361C22⋊C4—1182no—
1362C22⋊C4—1182no—
1363C22⋊C4—1182no—
1364C22⋊C4—1182no—
1365C22⋊C4—1182no—
1366C22⋊C4—2361no—
1367C22⋊C4—2361no—
1368C22⋊C4—2361no—
1369C22⋊C4—2361no—
1370C22⋊C4—2361no—
1371C22⋊C4—2361no—
1372C22⋊C4—2361no—
1373C22⋊C4—2361no—
1374C22⋊C4—2361no—
1375C22⋊C4—2361no—
1376C22⋊C4—2361no—
1377C22⋊C4—2361no—
1378C22⋊C4—2361no—
1379C22⋊C4—2361no—
1380C22⋊C4—2361no—
1381C22⋊C4—2361no—
1382C22⋊C4—2361no—
1383C22⋊C4—2361no—
1384C22⋊C4—2361no—
1385C22⋊C4—2361no—
1386C22⋊C4—2361no—
1387C22⋊C4—2361no—
1388C22⋊C4—2361no—
1389C42—2361no—
1390C42—2361no—
1391C42—2361no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—28no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—44no—
1417C23—44no—
1418C23—44no—
1419C23—44no—
1420C23—44no—
1421C23—44no—
1422C23—592no—
1423C23—592no—
1424C23—1188no—
1425C23—1181no—
1426C23—1181no—
1427C23—1181no—
1428C23—1181no—
1429C23—1181no—
1430C23—1181no—
1431C23—1181no—
1432C23—1181no—
1433C23—1181no—
1434C23—1181no—
1435C23—1181no—
1436C23—1181no—
1437C23—4722no—
1438C23—4722no—
1439C23—4722no—
1440C23—4722no—
1441C23—2364no—
1442C23—2364no—
1443C23#41×D5912yes—
1444C23#1427377212yes—
1445C23#1427377212yes—
1446C23#1427377312yes—
1447C23#1427377412yes—
1448C23C24×D5911yescharacteristic
1449Q8—4722no—
1450D4—44no—
1451D4—82no—
1452D4—82no—
1453D4—4722no—
1454D4—4722no—
1455D4—2364no—
1456D4—2364no—
1457D4—2364no—
1458D4—2364no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—44no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—44no—
1496C2×C4—44no—
1497C2×C4—1181no—
1498C2×C4—1181no—
1499C2×C4—1181no—
1500C2×C4—1181no—
1501C2×C4—1181no—
1502C2×C4—1181no—
1503C2×C4—1181no—
1504C2×C4—1181no—
1505C2×C4—1181no—
1506C2×C4—1181no—
1507C2×C4—1181no—
1508C2×C4—1181no—
1509C2×C4—1181no—
1510C2×C4—1181no—
1511C2×C4—1181no—
1512C2×C4—1181no—
1513C2×C4—1181no—
1514C2×C4—1181no—
1515C2×C4—1181no—
1516C2×C4—1181no—
1517C2×C4—1181no—
1518C2×C4—1181no—
1519C2×C4—1181no—
1520C2×C4—1181no—
1521C2×C4—1181no—
1522C2×C4—1181no—
1523C2×C4—1181no—
1524C2×C4—1181no—
1525C2×C4—1181no—
1526C2×C4—1181no—
1527C2×C4—1181no—
1528C2×C4—1181no—
1529C2×C4—1181no—
1530C2×C4—1181no—
1531C2×C4—1181no—
1532C2×C4—1181no—
1533C2×C4—1181no—
1534C2×C4—1181no—
1535C2×C4—1181no—
1536C2×C4—1181no—
1537C2×C4—1181no—
1538C2×C4—1181no—
1539C2×C4—4722no—
1540C2×C4—4722no—
1541C2×C4—4722no—
1542C2×C4—4722no—
1543C2×C4—4722no—
1544C2×C4—4722no—
1545C2×C4—4722no—
1546C2×C4—2364no—
1547C2×C4#1427377212yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—416no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—1182no—
1577C22—1182no—
1578C22—1182no—
1579C22—1182no—
1580C22—1182no—
1581C22—1182no—
1582C22—4728no—
1583C22—2361no—
1584C22—2361no—
1585C22—2361no—
1586C22—2361no—
1587C22—2361no—
1588C22—2361no—
1589C22—2361no—
1590C22—2361no—
1591C22#1683799514yes—
1592C22C2×#41×D5911yescharacteristic
1593C22C2×#1427377211yescharacteristic
1594C22C2×#1427377211yescharacteristic
1595C22C2×#1427377211yescharacteristic
1596C22C2×#1427377311yescharacteristic
1597C22C2×#1427377411yescharacteristic
1598C22#1683823811yescharacteristic
1599C4—22no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—2361no—
1611C4—2361no—
1612C4—2361no—
1613C4—2361no—
1614C4—2361no—
1615C4—2361no—
1616C4—2361no—
1617C4—2361no—
1618C4—2361no—
1619C4—2361no—
1620C4—2361no—
1621C4—2361no—
1622C4—2361no—
1623C4—2361no—
1624C2—24no—
1625C2—42no—
1626C2—42no—
1627C2—81no—
1628C2—2362no—
1629C2—2362no—
1630C2C2×#1683799511yescharacteristic
1631C2#2143777911yescharacteristic
1632C2#2143792411yescharacteristic
1633C2#2143825111yescharacteristic
1634C2#2143829011yescharacteristic
1635C2#2143829911yescharacteristic
1636C2#2143832311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2849C2
prime radical#21427466C2
hypercenter#2849D59
hypocenterC59#36775
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2849

Complements

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

NH ≅ G/Ntype
1. #21432383C2semidirect
2. #21431768C2semidirect
3. #21431330C2semidirect
4. #21431280C2semidirect
5. #21431275C2semidirect
6. #21431232C2semidirect
7. #21431069C2semidirect
8. #21430812C2semidirect
9. #21430810C2semidirect
10. #21430778C2semidirect
11. #21430647C2semidirect
12. #21430629C2semidirect
13. #21430602C2semidirect
14. #21430601C2semidirect
15. #21430572C2semidirect
16. #21430517C2semidirect
17. #21430448C2semidirect
18. #21430068C2semidirect
19. #21430051C2semidirect
20. #21428601C2semidirect
21. #21428341C2semidirect
22. #21427924C2semidirect
23. #21427761C2semidirect
24. #21427554C2semidirect
25. #21427491C2semidirect
27. #21427421C2semidirect
28. #21426759C2semidirect
29. #21426707C2semidirect
30. C2×#16837281C2semidirect
31. C59×#2849C2semidirect
33. C2×#14273720C22semidirect
36. C2×#14273709C22semidirect
37. C2×#14273708C22semidirect
39. C2×#14273706C22semidirect
40. C2×#14273706C22semidirect
41. C2×#14273705C22semidirect
51. C59⋊#401C22semidirect
52. #16837344C22semidirect
53. #16837344C22semidirect
54. #16837344C22semidirect
55. #16837343C22semidirect
56. #16837343C22semidirect
57. #16837343C22semidirect
58. #16837342C22semidirect
59. #16837342C22semidirect
60. #16837341C22semidirect
61. #16837341C22semidirect
62. #16837340C22semidirect
63. #16837338C22semidirect
64. #16837337C22semidirect
65. #16837336C22semidirect
66. #16837335C22semidirect
67. #16837334C22semidirect
68. #16837334C22semidirect
69. #16837333C22semidirect
70. #16837332C22semidirect
71. #16837331C22semidirect
72. #16837330C22semidirect
73. #16837330C22semidirect
74. #16837330C22semidirect
75. #16837330C22semidirect
76. #16837329C22semidirect
77. #16837327C22semidirect
78. #16837327C22semidirect
79. #16837327C22semidirect
80. #16837326C22semidirect
81. #16837325C22semidirect
82. #16837325C22semidirect
83. #16837325C22semidirect
84. #16837324C22semidirect
89. #16837318C22semidirect
92. #16837317C22semidirect
93. #16837316C22semidirect
94. #16837316C22semidirect
95. #16837315C22semidirect
96. #16837314C22semidirect
99. #16837306C22semidirect
100. #16837302C22semidirect
101. #16837302C22semidirect
102. #16837301C22semidirect
103. #16837296C22semidirect
104. #16837295C22semidirect
105. #16837294C22semidirect
106. #16837294C22semidirect
107. #16837291C22semidirect
108. #16837291C22semidirect
109. #16837290C22semidirect
110. #16837290C22semidirect
111. #16837290C22semidirect
112. #16837289C22semidirect
113. #16837285C22semidirect
114. #16837285C22semidirect
117. #16837282C22semidirect
126. #16837279C22semidirect
127. #16837279C22semidirect
132. #16837278C22semidirect
136. #16837277C22semidirect
137. #16837276C22semidirect
138. #16837276C22semidirect
139. #16837276C22semidirect
140. #16837276C22semidirect
143. #16837275C22semidirect
144. #16837275C22semidirect
145. #16837275C22semidirect
146. #16837275C22semidirect
150. #16837273C22semidirect
151. #16837273C22semidirect
152. #16837273C22semidirect
153. #16837267C22semidirect
154. #16837264C22semidirect
156. #16837262C22semidirect
157. #16837262C22semidirect
158. #16837261C22semidirect
159. #16837261C22semidirect
160. #16837261C22semidirect
163. #16837260C22semidirect
164. #16837259C22semidirect
165. #16837259C22semidirect
173. C2×#123×C59C22semidirect
174. C2×#123×C59C22semidirect
178. C59×#386C22semidirect
179. C59×#386C22semidirect
182. C59×#385C22semidirect
183. C59×#385C22semidirect
184. C59×#381C22semidirect
185. C59×#381C22semidirect
806. #2849D59semidirect
857. C2×#123C2×D59semidirect
858. C2×#123C2×D59semidirect
957. #386C2×D59semidirect
958. #386C2×D59semidirect
981. #385C2×D59semidirect
982. #385C2×D59semidirect
985. #381C2×D59semidirect
986. #381C2×D59semidirect
1005. C59#36775semidirect

Maximal subgroups

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

subgroupindex
#214323832
#214317682
#214313302
#214312802
#214312752
#214312322
#214310692
#214308122
#214308102
#214307782
#214306472
#214306292
#214306022
#214306012
#214305722
#214305172
#214304482
#214300682
#214300512
#214286012
#214283412
#214279242
#214277612
#214275542
#214274912
#214274662
#214274212
#214267592
#214267072
C2×#168372812
C59×#28492
#3677559