Finite Group Databasebeta

← #28796995

Subgroups — #28796995

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#21432390C211yesmaximal, characteristic, complemented
2#21432381C211yesmaximal, characteristic, complemented
3#21431774C211yesmaximal, characteristic, complemented
4#21431336C211yesmaximal, characteristic, complemented
5#21431284C211yesmaximal, characteristic, complemented
6#21431282C211yesmaximal, characteristic, complemented
7#21431239C211yesmaximal, characteristic, complemented
8#21431062C211yesmaximal, characteristic, complemented
9#21430816C211yesmaximal, characteristic, complemented
10#21430807C211yesmaximal, characteristic, complemented
11#21430780C211yesmaximal, characteristic, complemented
12#21430650C211yesmaximal, characteristic, complemented
13#21430627C211yesmaximal, characteristic, complemented
14#21430607C211yesmaximal, characteristic, complemented
15#21430601C211yesmaximal, characteristic, complemented
16#21430570C211yesmaximal, characteristic, complemented
17#21430511C211yesmaximal, characteristic, complemented
18#21430454C211yesmaximal, characteristic, complemented
19#21430068C211yesmaximal, characteristic, complemented
20#21430052C211yesmaximal, characteristic, complemented
21#21428603C211yesmaximal, characteristic, complemented
22#21428341C211yesmaximal, characteristic, complemented
23#21427918C211yesmaximal, characteristic, complemented
24#21427762C211yesmaximal, characteristic, complemented
25#21427562C211yesmaximal, characteristic, complemented
26#21427492C211yesmaximal, characteristic, complemented
27#21427470C211yesmaximal, characteristic
28#21426751C211yesmaximal, characteristic, complemented
29#21426710C211yesmaximal, characteristic, complemented
30C2×#16837282C211yesmaximal, characteristic, complemented
31C59×#2405C211yesmaximal, characteristic, complemented
32C24×Dic59C2211yescharacteristic
33C2×#14273720C2211yescharacteristic, complemented
34C2×#14273711C2211yescharacteristic, complemented
35C2×#14273711C2211yescharacteristic, complemented
36C2×#14273710C2211yescharacteristic, complemented
37C2×#14273709C2211yescharacteristic, complemented
38C2×#14273704C2211yescharacteristic
39C2×#14273704C2211yescharacteristic, complemented
40C2×#14273704C2211yescharacteristic, complemented
41C2×#14273704C2211yescharacteristic, complemented
42C2×#14273699C2211yescharacteristic
43C2×#14273699C2211yescharacteristic
44C2×#14273696C2211yescharacteristic
45C2×#14273696C2211yescharacteristic
46C2×(C22⋊D59)⋊C4C2211yescharacteristic
47C22×C22⋊Dic59C2211yescharacteristic
48C22×C22⋊Dic59C2211yescharacteristic
49C22×C22⋊Dic59C2211yescharacteristic
50C22×C22⋊Dic59C2211yescharacteristic
51C59⋊#401C2211yescharacteristic, complemented
52#16837344C2211yescharacteristic, complemented
53#16837344C2211yescharacteristic, complemented
54#16837344C2211yescharacteristic, complemented
55#16837343C2211yescharacteristic, complemented
56#16837343C2211yescharacteristic, complemented
57#16837342C2211yescharacteristic, complemented
58#16837342C2211yescharacteristic, complemented
59#16837341C2211yescharacteristic, complemented
60#16837341C2211yescharacteristic, complemented
61#16837340C2211yescharacteristic, complemented
62#16837340C2211yescharacteristic, complemented
63#16837338C2211yescharacteristic, complemented
64#16837338C2211yescharacteristic, complemented
65#16837336C2211yescharacteristic, complemented
66#16837335C2211yescharacteristic, complemented
67#16837335C2211yescharacteristic, complemented
68#16837333C2211yescharacteristic, complemented
69#16837332C2211yescharacteristic, complemented
70#16837332C2211yescharacteristic, complemented
71#16837331C2211yescharacteristic, complemented
72#16837330C2211yescharacteristic, complemented
73#16837330C2211yescharacteristic, complemented
74#16837330C2211yescharacteristic, complemented
75#16837330C2211yescharacteristic, complemented
76#16837330C2211yescharacteristic, complemented
77#16837329C2211yescharacteristic, complemented
78#16837328C2211yescharacteristic, complemented
79#16837327C2211yescharacteristic, complemented
80#16837325C2211yescharacteristic, complemented
81#16837325C2211yescharacteristic, complemented
82#16837325C2211yescharacteristic, complemented
83#16837324C2211yescharacteristic, complemented
84#16837324C2211yescharacteristic, complemented
85#16837318C2211yescharacteristic, complemented
86#16837317C2211yescharacteristic, complemented
87#16837317C2211yescharacteristic, complemented
88#16837317C2211yescharacteristic, complemented
89#16837316C2211yescharacteristic
90#16837316C2211yescharacteristic
91#16837315C2211yescharacteristic, complemented
92#16837314C2211yescharacteristic, complemented
93#16837310C2211yescharacteristic
94#16837310C2211yescharacteristic
95#16837307C2211yescharacteristic, complemented
96#16837302C2211yescharacteristic, complemented
97#16837302C2211yescharacteristic, complemented
98#16837298C2211yescharacteristic, complemented
99#16837296C2211yescharacteristic, complemented
100#16837296C2211yescharacteristic, complemented
101#16837296C2211yescharacteristic, complemented
102#16837296C2211yescharacteristic, complemented
103#16837295C2211yescharacteristic, complemented
104#16837295C2211yescharacteristic, complemented
105#16837290C2211yescharacteristic, complemented
106#16837290C2211yescharacteristic, complemented
107#16837290C2211yescharacteristic, complemented
108#16837289C2211yescharacteristic, complemented
109#16837287C2211yescharacteristic, complemented
110#16837285C2211yescharacteristic, complemented
111#16837282C2211yescharacteristic
112#16837282C2211yescharacteristic
113#16837282C2211yescharacteristic
114#16837282C2211yescharacteristic
115#16837282C2211yescharacteristic
116#16837282C2211yescharacteristic
117#16837282C2211yescharacteristic
118#16837282C2211yescharacteristic
119#16837282C2211yescharacteristic
120#16837282C2211yescharacteristic
121#16837281C2211yescharacteristic
122#16837281C2211yescharacteristic, complemented
123#16837279C2211yescharacteristic
124#16837279C2211yescharacteristic
125#16837279C2211yescharacteristic
126#16837279C2211yescharacteristic, complemented
127#16837279C2211yescharacteristic, complemented
128#16837278C2211yescharacteristic, complemented
129#16837278C2211yescharacteristic, complemented
130#16837278C2211yescharacteristic, complemented
131#16837277C2211yescharacteristic
132#16837277C2211yescharacteristic
133#16837277C2211yescharacteristic
134#16837277C2211yescharacteristic
135#16837277C2211yescharacteristic
136#16837277C2211yescharacteristic, complemented
137#16837277C2211yescharacteristic, complemented
138#16837277C2211yescharacteristic, complemented
139#16837277C2211yescharacteristic, complemented
140#16837277C2211yescharacteristic, complemented
141#16837277C2211yescharacteristic, complemented
142#16837277C2211yescharacteristic, complemented
143#16837277C2211yescharacteristic, complemented
144#16837277C2211yescharacteristic, complemented
145#16837276C2211yescharacteristic, complemented
146#16837275C2211yescharacteristic
147#16837275C2211yescharacteristic, complemented
148#16837274C2211yescharacteristic
149#16837274C2211yescharacteristic
150#16837274C2211yescharacteristic, complemented
151#16837274C2211yescharacteristic, complemented
152#16837274C2211yescharacteristic, complemented
153#16837267C2211yescharacteristic, complemented
154#16837265C2211yescharacteristic, complemented
155#16837263C2211yescharacteristic, complemented
156#16837263C2211yescharacteristic, complemented
157#16837262C2211yescharacteristic, complemented
158#16837262C2211yescharacteristic, complemented
159#16837262C2211yescharacteristic, complemented
160#16837262C2211yescharacteristic, complemented
161#16837260C2211yescharacteristic
162#16837260C2211yescharacteristic
163#16837260C2211yescharacteristic
164#16837260C2211yescharacteristic, complemented
165#16837260C2211yescharacteristic, complemented
166#16837260C2211yescharacteristic, complemented
167#16837259C2211yescharacteristic, complemented
168#16837258C2211yescharacteristic
169C22⋊C4×Dic59C2211yescharacteristic
170C2×C59⋊#95C2211yescharacteristic
171C2×C59⋊#95C2211yescharacteristic
172C23×D4×C59C2211yescharacteristic
173C2×#123×C59C2211yescharacteristic
174C2×#123×C59C2211yescharacteristic
175C22×C22⋊C4×C59C2211yescharacteristic
176C59×#394C2211yescharacteristic
177C59×#394C2211yescharacteristic
178C59×#394C2211yescharacteristic
179C59×#394C2211yescharacteristic
180C59×#386C2211yescharacteristic
181C59×#386C2211yescharacteristic
182C59×#385C2211yescharacteristic
183C59×#385C2211yescharacteristic
184C59×#379C2211yescharacteristic
185C59×#379C2211yescharacteristic
186C59×#379C2211yescharacteristic
187C22×Dic118C2311yescharacteristic
188C22×C22⋊D59C2311yescharacteristic
189C22×C22⋊D59C2311yescharacteristic
190C22×C22⋊D59C2311yescharacteristic
191C22×C22⋊D59C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C23×Dic59—42no—
194C23×Dic59—42no—
195C23×Dic59—42no—
196C23×Dic59C2311yescharacteristic
197C23×Dic59C2311yescharacteristic
198C23×Dic59C2311yescharacteristic
199C23×Dic59C2311yescharacteristic
200C23×Dic59C2311yescharacteristic
201C23×Dic59C2311yescharacteristic
202C23×Dic59C2311yescharacteristic
203C23×Dic59C2311yescharacteristic
204C23×Dic59C2311yescharacteristic
205C23×Dic59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207#14273720—42no—
208#14273711—42no—
209#14273711—42no—
210#14273710—42no—
211#14273709—42no—
212#14273704—42no—
213#14273704—42no—
214#14273704—42no—
215#14273704—42no—
216#14273699—42no—
217#14273699—42no—
218#14273696—24no—
219#14273696—42no—
220(C22⋊D59)⋊C4—42no—
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×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×C22⋊Dic59—42no—
248C2×C22⋊Dic59—42no—
249C2×C22⋊Dic59—42no—
250C2×C22⋊Dic59—42no—
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×C22⋊Dic59C2311yescharacteristic
268C2×C22⋊Dic59C2311yescharacteristic
269C2×C22⋊Dic59C2311yescharacteristic
270C2×C22⋊Dic59C2311yescharacteristic
271C2×C22⋊Dic59C2311yescharacteristic
272C2×C22⋊Dic59C2311yescharacteristic
273C2×C22⋊Dic59C2311yescharacteristic
274C2×C22⋊Dic59C2311yescharacteristic
275C2×C22⋊Dic59C2311yescharacteristic
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×C4×Dic59C2311yescharacteristic
286C2×C4×Dic59C2311yescharacteristic
287C2×C4×Dic59C2311yescharacteristic
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
327C59⋊#95C2311yescharacteristic
328C25×C59C2311yescharacteristic
329C25×C59C2311yescharacteristic
330C22×D4×C59—24no—
331C22×D4×C59—42no—
332C22×D4×C59—42no—
333C22×D4×C59C2311yescharacteristic
334C22×D4×C59C2311yescharacteristic
335C22×D4×C59C2311yescharacteristic
336C22×D4×C59C2311yescharacteristic
337C23×C4×C59C2311yescharacteristic
338C23×C4×C59C2311yescharacteristic
339C23×C4×C59C2311yescharacteristic
340#123×C59—42no—
341#123×C59—42no—
342C2×C4⋊C4×C59C2311yescharacteristic
343C2×C4⋊C4×C59C2311yescharacteristic
344C2×C4⋊C4×C59C2311yescharacteristic
345C2×C4⋊C4×C59C2311yescharacteristic
346C2×C22⋊C4×C59—24no—
347C2×C22⋊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
361C2×C22⋊C4×C59C2311yescharacteristic
362C2×C22⋊C4×C59C2311yescharacteristic
363C2×C22⋊C4×C59C2311yescharacteristic
364C2×C22⋊C4×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—22no—
376C24×C59—41no—
377C24×C59—41no—
378C24×C59—41no—
379C24×C59—41no—
380C24×C59—41no—
381C24×C59—41no—
382C24×C59#4114yes—
383C24×C59C2411yescharacteristic
384C24×C59C2411yescharacteristic
385C24×C59C2411yescharacteristic
386C24×C59C2411yescharacteristic
387C24×C59C2411yescharacteristic
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—22no—
395C2×D4×C59—22no—
396C2×D4×C59—22no—
397C2×D4×C59—41no—
398C2×D4×C59—41no—
399C2×D4×C59—41no—
400C2×D4×C59—41no—
401C2×D4×C59—416no—
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×C59C2411yescharacteristic
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
421C2×C22⋊D59—22no—
422C2×C22⋊D59—22no—
423C2×C22⋊D59—22no—
424C2×C22⋊D59—22no—
425C2×C22⋊D59—22no—
426C2×C22⋊D59—22no—
427C2×C22⋊D59—22no—
428C2×C22⋊D59—41no—
429C2×C22⋊D59—41no—
430C2×C22⋊D59—41no—
431C2×C22⋊D59—41no—
432C2×C22⋊D59—41no—
433C2×C22⋊D59—41no—
434C2×C22⋊D59—41no—
435C2×C22⋊D59—41no—
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—41no—
446C22×Dic59—41no—
447C22×Dic59—41no—
448C22×Dic59—41no—
449C22×Dic59—41no—
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×Dic59—41no—
460C22×Dic59—41no—
461C22×Dic59—41no—
462C22×Dic59—41no—
463C22×Dic59—41no—
464C22×Dic59—41no—
465C22×Dic59—41no—
466C22×Dic59—416no—
467C22×Dic59C2411yescharacteristic
468C22×Dic59C2411yescharacteristic
469C22×Dic59C2411yescharacteristic
470C22×Dic59C2411yescharacteristic
471C22×Dic59C2411yescharacteristic
472C22×Dic59C2411yescharacteristic
473C22×Dic59C2411yescharacteristic
474C22×Dic59C2411yescharacteristic
475C22×Dic59C2411yescharacteristic
476C22×Dic59C2411yescharacteristic
477C22×Dic59C2411yescharacteristic
478C22×Dic59C2411yescharacteristic
479C22×Dic59C2411yescharacteristic
480C22×Dic59C2411yescharacteristic
481C22×Dic59C2411yescharacteristic
482C2×C4×D59—41no—
483C2×C4×D59—41no—
484C2×C4×D59—41no—
485C2×Dic118—22no—
486C2×Dic118—41no—
487C2×Dic118—41no—
488C4⋊C4×C59—41no—
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—22no—
499C22⋊C4×C59—22no—
500C22⋊C4×C59—22no—
501C22⋊C4×C59—22no—
502C22⋊C4×C59—41no—
503C22⋊C4×C59—41no—
504C22⋊C4×C59—41no—
505C22⋊C4×C59—41no—
506C22⋊C4×C59—41no—
507C22⋊C4×C59—41no—
508C22⋊C4×C59—41no—
509C22⋊C4×C59—41no—
510C22⋊Dic59—22no—
511C22⋊Dic59—22no—
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—41no—
522C22⋊Dic59—41no—
523C22⋊Dic59—41no—
524C22⋊Dic59—41no—
525C22⋊Dic59—41no—
526C22⋊Dic59—41no—
527C22⋊Dic59—41no—
528C22⋊Dic59—41no—
529C22⋊Dic59—41no—
530C22⋊Dic59—41no—
531C22⋊Dic59—41no—
532C22⋊Dic59—41no—
533C22⋊Dic59—41no—
534C22⋊Dic59—41no—
535(C2×D59)⋊C4—22no—
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—
554C4⋊Dic59—41no—
555Dic59⋊C4—22no—
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—21no—
598C23×C59—21no—
599C23×C59—21no—
600C23×C59—21no—
601C23×C59—21no—
602C23×C59—28no—
603C23×C59—44no—
604C23×C59—44no—
605C23×C59—44no—
606C23×C59—44no—
607C23×C59—44no—
608C23×C59—44no—
609C23×C59—44no—
610C23×C59—44no—
611C23×C59—82no—
612C23×C59—82no—
613C23×C59—82no—
614C23×C59—82no—
615C23×C59C2×#4112yes—
616C23×C59C2×#4112yes—
617C23×C59C2×#4112yes—
618C23×C59H(5,𝔽2)12yes—
619C23×C59H(5,𝔽2)12yes—
620C23×C59H(5,𝔽2)12yes—
621C23×C592−1+412yes—
622C23×C59C2511yescharacteristic
623C22×D59—21no—
624C22×D59—21no—
625C22×D59—21no—
626C22×D59—21no—
627C22×D59—21no—
628C22×D59—21no—
629C22×D59—21no—
630D4×C59—44no—
631D4×C59—44no—
632D4×C59—44no—
633D4×C59—44no—
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—44no—
665C2×C4×C59—82no—
666C2×C4×C59—82no—
667C22⋊D59—44no—
668C22⋊D59—82no—
669C22⋊D59—82no—
670C22⋊D59—82no—
671C22⋊D59—82no—
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—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—44no—
717C2×Dic59—44no—
718C2×Dic59—44no—
719C2×Dic59—44no—
720C2×Dic59—44no—
721C2×Dic59—44no—
722C2×Dic59—82no—
723C2×Dic59—82no—
724C2×Dic59—82no—
725C2×Dic59—82no—
726C2×Dic59H(5,𝔽2)12yes—
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—22no—
743C22×C59—22no—
744C22×C59—22no—
745C22×C59—22no—
746C22×C59—22no—
747C22×C59—22no—
748C22×C59—416no—
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—41no—
759C22×C59—41no—
760C22×C59—41no—
761C22×C59—41no—
762C22×C59—41no—
763C22×C59—41no—
764C22×C59—41no—
765C22×C59—88no—
766C22×C59#53914yes—
767C22×C59C22×#4111yescharacteristic
768C22×C59C2×H(5,𝔽2)11yescharacteristic
769C22×C59C2×H(5,𝔽2)11yescharacteristic
770C22×C59C2×H(5,𝔽2)11yescharacteristic
771C22×C59C2×H(5,𝔽2)11yescharacteristic
772C22×C59C2×2−1+411yescharacteristic
773C22×C59#58511yescharacteristic
774C2×D59—41no—
775C2×D59—41no—
776C2×D59—41no—
777C2×D59—41no—
778C2×D59—41no—
779C2×D59—41no—
780C2×D59—41no—
781C4×C59—41no—
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—
791Dic59—22no—
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#2849—591no—
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#2405D5911yescharacteristic, complemented
834#2321—591no—
835#2315—591no—
836C2×#386—591no—
837C2×C59—24no—
838C2×C59—42no—
839C2×C59—42no—
840C2×C59—42no—
841C2×C59—42no—
842C2×C59C2×#53911yescharacteristic
843C2×C59#349011yescharacteristic
844C2×C59#350511yescharacteristic
845C2×C59#353211yescharacteristic
846C2×C59#353411yescharacteristic
847C2×C59#353511yescharacteristic
848C2×C59#353611yescharacteristic
849D59—81no—
850C23×D4C2×D5911yescharacteristic
851C24×C4—591no—
852C2×#126—591no—
853C2×#123—591no—
854C2×#123—591no—
855C2×#123—591no—
856C2×#123—591no—
857C2×#123C2×D5911yescharacteristic
858C2×#123C2×D5911yescharacteristic
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×#120—591no—
867C2×C4×D4—591no—
868C22×C22⋊C4—591no—
869C22×C22⋊C4—591no—
870C22×C22⋊C4—591no—
871C22×C22⋊C4—591no—
872C22×C22⋊C4C2×D5911yescharacteristic
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#394C2×D5911yescharacteristic
914#394C2×D5911yescharacteristic
915#394C2×D5911yescharacteristic
916#394C2×D5911yescharacteristic
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#386—591no—
956#386—591no—
957#386C2×D5911yescharacteristic
958#386C2×D5911yescharacteristic
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#385—591no—
980#385—591no—
981#385C2×D5911yescharacteristic
982#385C2×D5911yescharacteristic
983#382—591no—
984#381—591no—
985#381—591no—
986#381—591no—
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#379C2×D5911yescharacteristic
1000#379C2×D5911yescharacteristic
1001#379C2×D5911yescharacteristic
1002C4×C22⋊C4—591no—
1003C2×#95—591no—
1004C2×#95—591no—
1005C59#3677511yescharacteristic, complemented, Sylow
1006C25C22×D5911yescharacteristic
1007C25C22×D5911yescharacteristic
1008C22×Q8—591no—
1009C22×D4—24no—
1010C22×D4—42no—
1011C22×D4—42no—
1012C22×D4—591no—
1013C22×D4—591no—
1014C22×D4—591no—
1015C22×D4—591no—
1016C22×D4—591no—
1017C22×D4C22×D5911yescharacteristic
1018C22×D4C22×D5911yescharacteristic
1019C22×D4C22×D5911yescharacteristic
1020C22×D4C22×D5911yescharacteristic
1021C23×C4—591no—
1022C23×C4—591no—
1023C23×C4—591no—
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×C4—2362no—
1033C23×C4—2362no—
1034C23×C4—2362no—
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—1184no—
1052#120—2362no—
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—24no—
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—2362no—
1120C2×C22⋊C4—2362no—
1121C2×C22⋊C4—2362no—
1122C2×C22⋊C4—2362no—
1123C2×C22⋊C4C22×D5911yescharacteristic
1124C2×C22⋊C4C22×D5911yescharacteristic
1125C2×C22⋊C4C22×D5911yescharacteristic
1126C2×C22⋊C4C22×D5911yescharacteristic
1127C2×C22⋊C4C22×D5911yescharacteristic
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#95—591no—
1181#95—591no—
1182#95—591no—
1183#95—591no—
1184#95C22×D5911yescharacteristic
1185#95C22×D5911yescharacteristic
1186#95C22×D5911yescharacteristic
1187#95C22×D5911yescharacteristic
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—22no—
1192C24—22no—
1193C24—22no—
1194C24—22no—
1195C24—41no—
1196C24—41no—
1197C24—41no—
1198C24—41no—
1199C24—41no—
1200C24—41no—
1201C24—591no—
1202C24#1174568714yes—
1203C24C23×D5911yescharacteristic
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—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—416no—
1224C2×D4—1182no—
1225C2×D4—1182no—
1226C2×D4—1182no—
1227C2×D4—1182no—
1228C2×D4—1182no—
1229C2×D4—1182no—
1230C2×D4—1182no—
1231C2×D4—2361no—
1232C2×D4—2361no—
1233C2×D4—2361no—
1234C2×D4—2361no—
1235C2×D4—2361no—
1236C2×D4—2361no—
1237C2×D4—2361no—
1238C2×D4—2361no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—591no—
1249C22×C4—591no—
1250C22×C4—591no—
1251C22×C4—591no—
1252C22×C4—591no—
1253C22×C4—591no—
1254C22×C4—591no—
1255C22×C4—591no—
1256C22×C4—591no—
1257C22×C4—591no—
1258C22×C4—591no—
1259C22×C4—591no—
1260C22×C4—591no—
1261C22×C4—591no—
1262C22×C4—591no—
1263C22×C4—1182no—
1264C22×C4—1182no—
1265C22×C4—1182no—
1266C22×C4—1182no—
1267C22×C4—1182no—
1268C22×C4—1182no—
1269C22×C4—1182no—
1270C22×C4—1182no—
1271C22×C4—1182no—
1272C22×C4—2361no—
1273C22×C4—2361no—
1274C22×C4—2361no—
1275C22×C4—2361no—
1276C22×C4—2361no—
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×C4—23616no—
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—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—1182no—
1312C4⋊C4—1182no—
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—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
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—1182no—
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—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—28no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—44no—
1430C23—82no—
1431C23—82no—
1432C23—82no—
1433C23—82no—
1434C23—1181no—
1435C23—1181no—
1436C23—1181no—
1437C23—1181no—
1438C23—1181no—
1439C23—1181no—
1440C23—1181no—
1441C23C2×#1174568712yes—
1442C23C2×#1174568712yes—
1443C23C2×#1174568712yes—
1444C23#1427377212yes—
1445C23#1427377212yes—
1446C23#1427377312yes—
1447C23#1427377412yes—
1448C23C24×D5911yescharacteristic
1449Q8—4722no—
1450D4—44no—
1451D4—44no—
1452D4—44no—
1453D4—44no—
1454D4—4722no—
1455D4—4722no—
1456D4—4722no—
1457D4—4722no—
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—44no—
1490C2×C4—82no—
1491C2×C4—82no—
1492C2×C4—592no—
1493C2×C4—1181no—
1494C2×C4—1181no—
1495C2×C4—1181no—
1496C2×C4—1181no—
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—4722no—
1538C2×C4—4722no—
1539C2×C4—4722no—
1540C2×C4—4722no—
1541C2×C4—4722no—
1542C2×C4—2364no—
1543C2×C4—2364no—
1544C2×C4—2364no—
1545C2×C4—2364no—
1546C2×C4—2364no—
1547C2×C4—2364no—
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—22no—
1561C22—22no—
1562C22—22no—
1563C22—22no—
1564C22—22no—
1565C22—22no—
1566C22—416no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—88no—
1584C22—2361no—
1585C22—2361no—
1586C22—2361no—
1587C22—2361no—
1588C22—2361no—
1589C22—2361no—
1590C22—2361no—
1591C22#1683799614yes—
1592C22C22×#1174568711yescharacteristic
1593C22H(5,𝔽2)×D5911yescharacteristic
1594C22C2×#1427377211yescharacteristic
1595C22C2×#1427377211yescharacteristic
1596C22C2×#1427377311yescharacteristic
1597C22C2×#1427377411yescharacteristic
1598C22#1683823711yescharacteristic
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—1182no—
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—42no—
1628C2—42no—
1629C2—4721no—
1630C2C2×#1683799611yescharacteristic
1631C2#2143778311yescharacteristic
1632C2#2143793311yescharacteristic
1633C2#2143824511yescharacteristic
1634C2#2143828211yescharacteristic
1635C2#2143829311yescharacteristic
1636C2#2143831111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2405C2
prime radical#21427470C2
hypercenter#2405D59
hypocenterC59#36775
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2405

Complements

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

NH ≅ G/Ntype
1. #21432390C2semidirect
2. #21432381C2semidirect
3. #21431774C2semidirect
4. #21431336C2semidirect
5. #21431284C2semidirect
6. #21431282C2semidirect
7. #21431239C2semidirect
8. #21431062C2semidirect
9. #21430816C2semidirect
10. #21430807C2semidirect
11. #21430780C2semidirect
12. #21430650C2semidirect
13. #21430627C2semidirect
14. #21430607C2semidirect
15. #21430601C2semidirect
16. #21430570C2semidirect
17. #21430511C2semidirect
18. #21430454C2semidirect
19. #21430068C2semidirect
20. #21430052C2semidirect
21. #21428603C2semidirect
22. #21428341C2semidirect
23. #21427918C2semidirect
24. #21427762C2semidirect
25. #21427562C2semidirect
26. #21427492C2semidirect
28. #21426751C2semidirect
29. #21426710C2semidirect
30. C2×#16837282C2semidirect
31. C59×#2405C2semidirect
33. C2×#14273720C22semidirect
34. C2×#14273711C22semidirect
35. C2×#14273711C22semidirect
36. C2×#14273710C22semidirect
37. C2×#14273709C22semidirect
39. C2×#14273704C22semidirect
40. C2×#14273704C22semidirect
41. C2×#14273704C22semidirect
51. C59⋊#401C22semidirect
52. #16837344C22semidirect
53. #16837344C22semidirect
54. #16837344C22semidirect
55. #16837343C22semidirect
56. #16837343C22semidirect
57. #16837342C22semidirect
58. #16837342C22semidirect
59. #16837341C22semidirect
60. #16837341C22semidirect
61. #16837340C22semidirect
62. #16837340C22semidirect
63. #16837338C22semidirect
64. #16837338C22semidirect
65. #16837336C22semidirect
66. #16837335C22semidirect
67. #16837335C22semidirect
68. #16837333C22semidirect
69. #16837332C22semidirect
70. #16837332C22semidirect
71. #16837331C22semidirect
72. #16837330C22semidirect
73. #16837330C22semidirect
74. #16837330C22semidirect
75. #16837330C22semidirect
76. #16837330C22semidirect
77. #16837329C22semidirect
78. #16837328C22semidirect
79. #16837327C22semidirect
80. #16837325C22semidirect
81. #16837325C22semidirect
82. #16837325C22semidirect
83. #16837324C22semidirect
84. #16837324C22semidirect
85. #16837318C22semidirect
86. #16837317C22semidirect
87. #16837317C22semidirect
88. #16837317C22semidirect
91. #16837315C22semidirect
92. #16837314C22semidirect
95. #16837307C22semidirect
96. #16837302C22semidirect
97. #16837302C22semidirect
98. #16837298C22semidirect
99. #16837296C22semidirect
100. #16837296C22semidirect
101. #16837296C22semidirect
102. #16837296C22semidirect
103. #16837295C22semidirect
104. #16837295C22semidirect
105. #16837290C22semidirect
106. #16837290C22semidirect
107. #16837290C22semidirect
108. #16837289C22semidirect
109. #16837287C22semidirect
110. #16837285C22semidirect
122. #16837281C22semidirect
126. #16837279C22semidirect
127. #16837279C22semidirect
128. #16837278C22semidirect
129. #16837278C22semidirect
130. #16837278C22semidirect
136. #16837277C22semidirect
137. #16837277C22semidirect
138. #16837277C22semidirect
139. #16837277C22semidirect
140. #16837277C22semidirect
141. #16837277C22semidirect
142. #16837277C22semidirect
143. #16837277C22semidirect
144. #16837277C22semidirect
145. #16837276C22semidirect
147. #16837275C22semidirect
150. #16837274C22semidirect
151. #16837274C22semidirect
152. #16837274C22semidirect
153. #16837267C22semidirect
154. #16837265C22semidirect
155. #16837263C22semidirect
156. #16837263C22semidirect
157. #16837262C22semidirect
158. #16837262C22semidirect
159. #16837262C22semidirect
160. #16837262C22semidirect
164. #16837260C22semidirect
165. #16837260C22semidirect
166. #16837260C22semidirect
167. #16837259C22semidirect
833. #2405D59semidirect
1005. C59#36775semidirect

Maximal subgroups

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

subgroupindex
#214323902
#214323812
#214317742
#214313362
#214312842
#214312822
#214312392
#214310622
#214308162
#214308072
#214307802
#214306502
#214306272
#214306072
#214306012
#214305702
#214305112
#214304542
#214300682
#214300522
#214286032
#214283412
#214279182
#214277622
#214275622
#214274922
#214274702
#214267512
#214267102
C2×#168372822
C59×#24052
#3677559