Finite Group Databasebeta

← #28795776

Subgroups — #28795776

Order 15104.

2644 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837984C211yesmaximal, characteristic, complemented
2C2×#16837913C211yesmaximal, characteristic, complemented
3#21432388C211yesmaximal, characteristic, complemented
4#21430769C211yesmaximal, characteristic, complemented
5#21430724C211yesmaximal, characteristic, complemented
6#21430698C211yesmaximal, characteristic, complemented
7#21430685C211yesmaximal, characteristic, complemented
8#21430518C211yesmaximal, characteristic, complemented
9#21430457C211yesmaximal, characteristic, complemented
10#21430452C211yesmaximal, characteristic, complemented
11#21430442C211yesmaximal, characteristic, complemented
12#21430430C211yesmaximal, characteristic, complemented
13#21430424C211yesmaximal, characteristic, complemented
14#21430422C211yesmaximal, characteristic, complemented
15#21430417C211yesmaximal, characteristic, complemented
16#21430348C211yesmaximal, characteristic, complemented
17#21430318C211yesmaximal, characteristic, complemented
18#21430313C211yesmaximal, characteristic, complemented
19#21430308C211yesmaximal, characteristic, complemented
20#21429981C211yesmaximal, characteristic, complemented
21#21429937C211yesmaximal, characteristic, complemented
22#21429779C211yesmaximal, characteristic, complemented
23#21429720C211yesmaximal, characteristic, complemented
24#21429689C211yesmaximal, characteristic, complemented
25#21429680C211yesmaximal, characteristic, complemented
26#21429065C211yesmaximal, characteristic, complemented
27#21428984C211yesmaximal, characteristic, complemented
28#21427438C211yesmaximal, characteristic, complemented
29#21427413C211yesmaximal, characteristic, complemented
30#21426738C211yesmaximal, characteristic, complemented
31C59×#2847C211yesmaximal, characteristic, complemented
32C22×#11745685C2211yescharacteristic
33#16837984—28no—
34C2×#14273723C2211yescharacteristic
35C2×#14273722C2211yescharacteristic, complemented
36C2×#14273720C2211yescharacteristic, complemented
37C2×#14273714C2211yescharacteristic
38C2×#14273713C2211yescharacteristic, complemented
39C2×#14273713C2211yescharacteristic, complemented
40#16837913—28no—
41C2×#14273710C2211yescharacteristic
42C2×#14273710C2211yescharacteristic
43C2×#14273710C2211yescharacteristic
44C2×#14273710C2211yescharacteristic, complemented
45C2×#14273709C2211yescharacteristic
46C2×#14273708C2211yescharacteristic, complemented
47C2×#14273706C2211yescharacteristic, complemented
48C2×#14273706C2211yescharacteristic, complemented
49C2×#14273705C2211yescharacteristic, complemented
50C2×#14273704C2211yescharacteristic, complemented
51C2×#14273701C2211yescharacteristic
52C2×#14273701C2211yescharacteristic
53C2×#14273699C2211yescharacteristic
54C2×#14273699C2211yescharacteristic, complemented
55C2×#14273698C2211yescharacteristic
56C2×#14273697C2211yescharacteristic, complemented
57C2×#14273696C2211yescharacteristic
58C2×#14273696C2211yescharacteristic
59C2×#14273696C2211yescharacteristic, complemented
60C2×#14273695C2211yescharacteristic
61C2×#14273695C2211yescharacteristic
62C2×#14273695C2211yescharacteristic
63C2×#14273695C2211yescharacteristic, complemented
64C2×C4×C22⋊D59C2211yescharacteristic
65C2×C4×C22⋊D59C2211yescharacteristic
66C2×C4×C22⋊D59C2211yescharacteristic, complemented
67C2×C4×C22⋊D59C2211yescharacteristic, complemented
68C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
69C2×#14273686C2211yescharacteristic, complemented
70C2×C22⋊C4×D59C2211yescharacteristic, complemented
71#16837340C2211yescharacteristic, complemented
72#16837337C2211yescharacteristic, complemented
73#16837336C2211yescharacteristic, complemented
74#16837334C2211yescharacteristic, complemented
75#16837332C2211yescharacteristic, complemented
76#16837331C2211yescharacteristic, complemented
77#16837330C2211yescharacteristic, complemented
78#16837327C2211yescharacteristic, complemented
79#16837326C2211yescharacteristic, complemented
80#16837325C2211yescharacteristic, complemented
81#16837325C2211yescharacteristic, complemented
82#16837325C2211yescharacteristic, complemented
83#16837324C2211yescharacteristic, complemented
84#16837324C2211yescharacteristic, complemented
85#16837323C2211yescharacteristic, complemented
86#16837320C2211yescharacteristic, complemented
87#16837320C2211yescharacteristic, complemented
88#16837319C2211yescharacteristic, complemented
89#16837318C2211yescharacteristic
90#16837318C2211yescharacteristic
91#16837318C2211yescharacteristic, complemented
92#16837318C2211yescharacteristic, complemented
93#16837318C2211yescharacteristic, complemented
94#16837317C2211yescharacteristic
95#16837317C2211yescharacteristic
96#16837317C2211yescharacteristic
97#16837317C2211yescharacteristic, complemented
98#16837317C2211yescharacteristic, complemented
99#16837316C2211yescharacteristic
100#16837316C2211yescharacteristic
101#16837316C2211yescharacteristic
102#16837316C2211yescharacteristic, complemented
103#16837316C2211yescharacteristic, complemented
104#16837316C2211yescharacteristic, complemented
105#16837315C2211yescharacteristic, complemented
106#16837314C2211yescharacteristic, complemented
107#16837314C2211yescharacteristic, complemented
108#16837311C2211yescharacteristic
109#16837311C2211yescharacteristic
110#16837311C2211yescharacteristic, complemented
111#16837310C2211yescharacteristic
112#16837310C2211yescharacteristic
113#16837310C2211yescharacteristic
114#16837310C2211yescharacteristic
115#16837310C2211yescharacteristic
116#16837310C2211yescharacteristic
117#16837310C2211yescharacteristic, complemented
118#16837310C2211yescharacteristic, complemented
119#16837306C2211yescharacteristic, complemented
120#16837306C2211yescharacteristic, complemented
121#16837305C2211yescharacteristic
122#16837305C2211yescharacteristic
123#16837305C2211yescharacteristic, complemented
124#16837302C2211yescharacteristic
125#16837302C2211yescharacteristic
126#16837302C2211yescharacteristic
127#16837302C2211yescharacteristic, complemented
128#16837302C2211yescharacteristic, complemented
129#16837302C2211yescharacteristic, complemented
130#16837299C2211yescharacteristic, complemented
131#16837297C2211yescharacteristic, complemented
132#16837297C2211yescharacteristic, complemented
133#16837295C2211yescharacteristic, complemented
134#16837295C2211yescharacteristic, complemented
135#16837295C2211yescharacteristic, complemented
136#16837295C2211yescharacteristic, complemented
137#16837294C2211yescharacteristic, complemented
138#16837294C2211yescharacteristic, complemented
139#16837294C2211yescharacteristic, complemented
140#16837292C2211yescharacteristic, complemented
141#16837292C2211yescharacteristic, complemented
142#16837290C2211yescharacteristic, complemented
143#16837290C2211yescharacteristic, complemented
144#16837290C2211yescharacteristic, complemented
145#16837290C2211yescharacteristic, complemented
146#16837290C2211yescharacteristic, complemented
147#16837287C2211yescharacteristic, complemented
148#16837284C2211yescharacteristic, complemented
149#16837282C2211yescharacteristic, complemented
150#16837281C2211yescharacteristic
151#16837281C2211yescharacteristic
152#16837281C2211yescharacteristic
153#16837281C2211yescharacteristic
154#16837280C2211yescharacteristic, complemented
155#16837280C2211yescharacteristic, complemented
156#16837278C2211yescharacteristic
157#16837278C2211yescharacteristic, complemented
158#16837278C2211yescharacteristic, complemented
159#16837276C2211yescharacteristic, complemented
160#16837275C2211yescharacteristic, complemented
161#16837275C2211yescharacteristic, complemented
162#16837275C2211yescharacteristic, complemented
163#16837275C2211yescharacteristic, complemented
164#16837274C2211yescharacteristic, complemented
165#16837265C2211yescharacteristic, complemented
166#16837265C2211yescharacteristic, complemented
167#16837264C2211yescharacteristic, complemented
168#16837264C2211yescharacteristic, complemented
169#16837261C2211yescharacteristic, complemented
170#16837258C2211yescharacteristic, complemented
171#16837257C2211yescharacteristic, complemented
172#16837253C2211yescharacteristic, complemented
173#16837247C2211yescharacteristic, complemented
174C24×C4×C59C2211yescharacteristic, complemented
175C2×#121×C59C2211yescharacteristic
176C2×#121×C59C2211yescharacteristic
177C2×#121×C59C2211yescharacteristic
178C2×#120×C59C2211yescharacteristic
179C2×#120×C59C2211yescharacteristic, complemented
180C59×#386C2211yescharacteristic
181C59×#386C2211yescharacteristic
182C59×#386C2211yescharacteristic
183C59×#386C2211yescharacteristic, complemented
184C59×#386C2211yescharacteristic, complemented
185C59×#386C2211yescharacteristic, complemented
186C59×#380C2211yescharacteristic, complemented
187C59×#380C2211yescharacteristic, complemented
188C59×#380C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C2×#11745685—24no—
191C2×#11745685—42no—
192C2×#11745685—42no—
193C22×Dic118C2311yescharacteristic
194C22×Dic118C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C22×C22⋊D59C2311yescharacteristic
205C22×C22⋊D59C2311yescharacteristic
206C22×C22⋊D59C2311yescharacteristic
207C22×C22⋊D59C2311yescharacteristic
208C22×C22⋊D59C2311yescharacteristic
209C22×C22⋊D59C2311yescharacteristic
210C23×Dic59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214#14273723—42no—
215#14273722—24no—
216#14273720—24no—
217#14273714—24no—
218#14273713—24no—
219#14273713—42no—
220#14273710—24no—
221#14273710—24no—
222#14273710—24no—
223#14273710—42no—
224#14273709—42no—
225#14273708—24no—
226#14273706—24no—
227#14273706—24no—
228#14273705—24no—
229#14273704—42no—
230#14273701—24no—
231#14273701—24no—
232#14273699—24no—
233#14273699—42no—
234#14273698—24no—
235#14273697—42no—
236#14273696—24no—
237#14273696—24no—
238#14273696—42no—
239#14273695—24no—
240#14273695—24no—
241#14273695—42no—
242#14273695—42no—
243C4×C22⋊D59—24no—
244C4×C22⋊D59—24no—
245C4×C22⋊D59—24no—
246C4×C22⋊D59D418yescomplemented
247(C22⋊D59)⋊C4—24no—
248#14273686—24no—
249C2×C4⋊Dic59C2311yescharacteristic
250C2×C4⋊Dic59C2311yescharacteristic
251C2×C4⋊Dic59C2311yescharacteristic
252C2×C4⋊Dic59C2311yescharacteristic
253C2×C4⋊Dic59C2311yescharacteristic
254C2×C4⋊Dic59C2311yescharacteristic
255C2×Dic59⋊C4C2311yescharacteristic
256C2×Dic59⋊C4C2311yescharacteristic
257C2×Dic59⋊C4C2311yescharacteristic
258C2×Dic59⋊C4C2311yescharacteristic
259C2×Dic59⋊C4C2311yescharacteristic
260C2×Dic59⋊C4C2311yescharacteristic
261C2×Dic59⋊C4C2311yescharacteristic
262C2×Dic59⋊C4C2311yescharacteristic
263C2×Dic59⋊C4C2311yescharacteristic
264C2×Dic59⋊C4C2311yescharacteristic
265C2×Dic59⋊C4C2311yescharacteristic
266C2×Dic59⋊C4C2311yescharacteristic
267C2×Dic59⋊C4C2311yescharacteristic
268C2×Dic59⋊C4C2311yescharacteristic
269C2×Dic59⋊C4C2311yescharacteristic
270C2×C22⋊Dic59C2311yescharacteristic
271C2×C22⋊Dic59C2311yescharacteristic
272C2×C22⋊Dic59C2311yescharacteristic
273C2×C22⋊Dic59C2311yescharacteristic
274C2×C22⋊Dic59C2311yescharacteristic
275C2×C22⋊Dic59C2311yescharacteristic
276C2×C22⋊Dic59C2311yescharacteristic
277C2×C22⋊Dic59C2311yescharacteristic
278C2×C22⋊Dic59C2311yescharacteristic
279C2×C22⋊Dic59C2311yescharacteristic
280C2×C22⋊Dic59C2311yescharacteristic
281C2×C22⋊Dic59C2311yescharacteristic
282C2×C22⋊Dic59C2311yescharacteristic
283C2×C22⋊Dic59C2311yescharacteristic
284C2×C22⋊Dic59C2311yescharacteristic
285C2×C22⋊Dic59C2311yescharacteristic
286C2×C22⋊Dic59C2311yescharacteristic
287C2×C22⋊Dic59C2311yescharacteristic
288C2×C22⋊Dic59C2311yescharacteristic
289C2×C22⋊Dic59C2311yescharacteristic
290C2×C22⋊Dic59C2311yescharacteristic
291C2×C22⋊Dic59C2311yescharacteristic
292C2×C22⋊Dic59C2311yescharacteristic
293C2×C22⋊Dic59C2311yescharacteristic
294C2×C22⋊Dic59C2311yescharacteristic
295C2×(C2×D59)⋊C4C2311yescharacteristic
296C2×(C2×D59)⋊C4C2311yescharacteristic
297C2×(C2×D59)⋊C4C2311yescharacteristic
298C2×(C2×D59)⋊C4C2311yescharacteristic
299C2×(C2×D59)⋊C4C2311yescharacteristic
300C2×(C2×D59)⋊C4C2311yescharacteristic
301C2×(C2×D59)⋊C4C2311yescharacteristic
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C2×(C2×D59)⋊C4C2311yescharacteristic
304C2×(C2×D59)⋊C4C2311yescharacteristic
305C2×(C2×D59)⋊C4C2311yescharacteristic
306C2×(C2×D59)⋊C4C2311yescharacteristic
307C2×(C2×D59)⋊C4C2311yescharacteristic
308C2×(C2×D59)⋊C4C2311yescharacteristic
309C2×(C2×D59)⋊C4C2311yescharacteristic
310C2×(C2×D59)⋊C4C2311yescharacteristic
311C2×(C2×D59)⋊C4C2311yescharacteristic
312C2×(C2×D59)⋊C4C2311yescharacteristic
313C2×(C2×D59)⋊C4C2311yescharacteristic
314C2×(C2×D59)⋊C4C2311yescharacteristic
315C2×(C2×D59)⋊C4C2311yescharacteristic
316C2×(C2×D59)⋊C4C2311yescharacteristic
317C2×(C2×D59)⋊C4C2311yescharacteristic
318C22⋊C4×D59—24no—
319C2×C4×Dic59C2311yescharacteristic
320C2×C4×Dic59C2311yescharacteristic
321C2×C4×Dic59C2311yescharacteristic
322C2×C4×Dic59C2311yescharacteristic
323C2×C4×Dic59C2311yescharacteristic
324C2×C4×Dic59C2311yescharacteristic
325C2×C4×Dic59C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C59⋊#95C2311yescharacteristic
339C59⋊#95C2311yescharacteristic
340C59⋊#95C2311yescharacteristic
341C59⋊#95C2311yescharacteristic
342C59⋊#95C2311yescharacteristic
343C59⋊#95C2311yescharacteristic
344C59⋊#95C2311yescharacteristic
345C59⋊#95C2311yescharacteristic
346C59⋊#95C2311yescharacteristic
347C59⋊#95C2311yescharacteristic
348C25×C59C2311yescharacteristic
349C22×D4×C59C2311yescharacteristic
350C22×D4×C59C2311yescharacteristic
351C22×D4×C59C2311yescharacteristic
352C22×D4×C59C2311yescharacteristic
353C22×D4×C59C2311yescharacteristic
354C22×D4×C59C2311yescharacteristic
355C22×D4×C59C2311yescharacteristic
356C23×C4×C59—24no—
357C23×C4×C59—42no—
358C23×C4×C59—42no—
359C23×C4×C59C2311yescharacteristic
360C23×C4×C59C2311yescharacteristic
361C23×C4×C59C2311yescharacteristic
362C23×C4×C59C2311yescharacteristic
363C23×C4×C59C2311yescharacteristic
364C23×C4×C59C2311yescharacteristic
365#121×C59—24no—
366#121×C59—42no—
367#121×C59—42no—
368#120×C59—42no—
369#120×C59—42no—
370C2×C4⋊C4×C59C2311yescharacteristic
371C2×C4⋊C4×C59C2311yescharacteristic
372C2×C4⋊C4×C59C2311yescharacteristic
373C2×C22⋊C4×C59C2311yescharacteristic
374C2×C22⋊C4×C59C2311yescharacteristic
375C2×C22⋊C4×C59C2311yescharacteristic
376C2×C22⋊C4×C59C2311yescharacteristic
377C2×C22⋊C4×C59C2311yescharacteristic
378C2×C22⋊C4×C59C2311yescharacteristic
379C2×C22⋊C4×C59C2311yescharacteristic
380C2×C22⋊C4×C59C2311yescharacteristic
381C2×C22⋊C4×C59C2311yescharacteristic
382C2×C22⋊C4×C59C2311yescharacteristic
383C2×C22⋊C4×C59C2311yescharacteristic
384C2×C22⋊C4×C59C2311yescharacteristic
385#95×C59C2311yescharacteristic
386#95×C59C2311yescharacteristic
387#95×C59C2311yescharacteristic
388#95×C59C2311yescharacteristic
389#95×C59C2311yescharacteristic
390#95×C59C2311yescharacteristic
391C24×C59—22no—
392C24×C59—22no—
393C24×C59—22no—
394C24×C59—41no—
395C24×C59—41no—
396C24×C59—41no—
397C24×C59—41no—
398C24×C59C2411yescharacteristic
399C24×C59C2411yescharacteristic
400C24×C59C2411yescharacteristic
401C24×C59C2411yescharacteristic
402C24×C59C2411yescharacteristic
403C23×D59—22no—
404C23×D59—41no—
405C23×D59—41no—
406C23×D59—41no—
407C23×D59—41no—
408C23×D59—41no—
409C23×D59—41no—
410C23×D59C2411yescharacteristic
411C23×D59C2411yescharacteristic
412C23×D59C2411yescharacteristic
413C2×D4×C59—22no—
414C2×D4×C59—22no—
415C2×D4×C59—22no—
416C2×D4×C59—22no—
417C2×D4×C59—22no—
418C2×D4×C59—22no—
419C2×D4×C59—22no—
420C2×D4×C59—41no—
421C2×D4×C59—41no—
422C2×D4×C59—41no—
423C2×D4×C59—41no—
424C2×D4×C59—41no—
425C2×D4×C59—41no—
426C2×D4×C59—41no—
427C2×D4×C59—41no—
428C2×D4×C59—41no—
429C2×D4×C59—41no—
430C2×D4×C59—41no—
431C2×D4×C59—41no—
432C2×D4×C59—41no—
433C2×D4×C59—41no—
434C22×C4×C59—22no—
435C22×C4×C59—22no—
436C22×C4×C59—22no—
437C22×C4×C59—22no—
438C22×C4×C59—22no—
439C22×C4×C59—22no—
440C22×C4×C59—22no—
441C22×C4×C59—22no—
442C22×C4×C59—22no—
443C22×C4×C59—22no—
444C22×C4×C59—41no—
445C22×C4×C59—41no—
446C22×C4×C59—41no—
447C22×C4×C59—41no—
448C22×C4×C59—41no—
449C22×C4×C59—41no—
450C22×C4×C59—41no—
451C22×C4×C59—416no—
452C22×C4×C59C2×D414yes—
453C22×C4×C59C2411yescharacteristic
454C22×C4×C59C2411yescharacteristic
455C22×C4×C59C2411yescharacteristic
456C22×C4×C59C2411yescharacteristic
457C22×C4×C59C2411yescharacteristic
458C22×C4×C59C2411yescharacteristic
459C22×C4×C59C2411yescharacteristic
460C22×C4×C59C2411yescharacteristic
461C22×C4×C59C2411yescharacteristic
462C22×C4×C59C2411yescharacteristic
463C2×C22⋊D59—22no—
464C2×C22⋊D59—22no—
465C2×C22⋊D59—22no—
466C2×C22⋊D59—22no—
467C2×C22⋊D59—22no—
468C2×C22⋊D59—22no—
469C2×C22⋊D59—22no—
470C2×C22⋊D59—22no—
471C2×C22⋊D59—22no—
472C2×C22⋊D59—22no—
473C2×C22⋊D59—22no—
474C2×C22⋊D59—22no—
475C2×C22⋊D59—22no—
476C2×C22⋊D59—22no—
477C2×C22⋊D59—41no—
478C2×C22⋊D59—41no—
479C2×C22⋊D59—41no—
480C2×C22⋊D59—41no—
481C2×C22⋊D59—41no—
482C2×C22⋊D59—41no—
483C2×C22⋊D59—41no—
484C2×C22⋊D59—41no—
485C2×C22⋊D59—41no—
486C2×C22⋊D59—41no—
487C2×C22⋊D59—41no—
488C2×C22⋊D59—41no—
489C2×C22⋊D59—41no—
490C2×C22⋊D59—41no—
491C2×C22⋊D59—41no—
492C2×C22⋊D59—41no—
493C2×C22⋊D59—41no—
494C2×C22⋊D59—41no—
495C2×C22⋊D59—41no—
496C2×C22⋊D59—41no—
497C2×C22⋊D59—41no—
498C2×C22⋊D59—41no—
499C2×C22⋊D59—41no—
500C2×C22⋊D59—41no—
501C2×C22⋊D59C2×D414yes—
502C22×Dic59—22no—
503C22×Dic59—41no—
504C22×Dic59—41no—
505C22×Dic59C2411yescharacteristic
506C22×Dic59C2411yescharacteristic
507C22×Dic59C2411yescharacteristic
508C22×Dic59C2411yescharacteristic
509C22×Dic59C2411yescharacteristic
510C22×Dic59C2411yescharacteristic
511C22×Dic59C2411yescharacteristic
512C22×Dic59C2411yescharacteristic
513C22×Dic59C2411yescharacteristic
514C22×Dic59C2411yescharacteristic
515C22×Dic59C2411yescharacteristic
516C22×Dic59C2411yescharacteristic
517C22×Dic59C2411yescharacteristic
518#11745685—416no—
519C2×D236—22no—
520C2×D236—22no—
521C2×D236—41no—
522C2×D236—41no—
523C2×D236—41no—
524C2×D236—41no—
525C2×C4×D59—22no—
526C2×C4×D59—22no—
527C2×C4×D59—41no—
528C2×C4×D59—41no—
529C2×C4×D59—41no—
530C2×C4×D59—41no—
531C2×C4×D59—41no—
532C2×C4×D59—41no—
533C2×C4×D59C2×D414yes—
534C2×Dic118—22no—
535C2×Dic118—22no—
536C2×Dic118—22no—
537C2×Dic118—41no—
538C2×Dic118—41no—
539C2×Dic118—41no—
540C4⋊C4×C59—22no—
541C4⋊C4×C59—41no—
542C4⋊C4×C59—41no—
543C22⋊C4×C59—22no—
544C22⋊C4×C59—22no—
545C22⋊C4×C59—22no—
546C22⋊C4×C59—22no—
547C22⋊C4×C59—22no—
548C22⋊C4×C59—22no—
549C22⋊C4×C59—41no—
550C22⋊C4×C59—41no—
551C22⋊C4×C59—41no—
552C22⋊C4×C59—41no—
553C22⋊C4×C59—41no—
554C22⋊C4×C59—41no—
555C22⋊Dic59—22no—
556C22⋊Dic59—22no—
557C22⋊Dic59—22no—
558C22⋊Dic59—22no—
559C22⋊Dic59—22no—
560C22⋊Dic59—22no—
561C22⋊Dic59—22no—
562C22⋊Dic59—22no—
563C22⋊Dic59—22no—
564C22⋊Dic59—22no—
565C22⋊Dic59—22no—
566C22⋊Dic59—22no—
567C22⋊Dic59—41no—
568C22⋊Dic59—41no—
569C22⋊Dic59—41no—
570C22⋊Dic59—41no—
571C22⋊Dic59—41no—
572C22⋊Dic59—41no—
573C22⋊Dic59—41no—
574C22⋊Dic59—41no—
575C22⋊Dic59—41no—
576C22⋊Dic59—41no—
577C22⋊Dic59—41no—
578C22⋊Dic59—41no—
579C22⋊Dic59C2×D414yes—
580(C2×D59)⋊C4—22no—
581(C2×D59)⋊C4—22no—
582(C2×D59)⋊C4—22no—
583(C2×D59)⋊C4—22no—
584(C2×D59)⋊C4—22no—
585(C2×D59)⋊C4—22no—
586(C2×D59)⋊C4—22no—
587(C2×D59)⋊C4—22no—
588(C2×D59)⋊C4—22no—
589(C2×D59)⋊C4—41no—
590(C2×D59)⋊C4—41no—
591(C2×D59)⋊C4—41no—
592(C2×D59)⋊C4—41no—
593(C2×D59)⋊C4—41no—
594(C2×D59)⋊C4—41no—
595(C2×D59)⋊C4—41no—
596(C2×D59)⋊C4—41no—
597(C2×D59)⋊C4—41no—
598(C2×D59)⋊C4—41no—
599(C2×D59)⋊C4—41no—
600(C2×D59)⋊C4—41no—
601(C2×D59)⋊C4—41no—
602(C2×D59)⋊C4C2×D414yes—
603C4⋊Dic59—22no—
604C4⋊Dic59—22no—
605C4⋊Dic59—22no—
606C4⋊Dic59—41no—
607C4⋊Dic59—41no—
608C4⋊Dic59—41no—
609Dic59⋊C4—22no—
610Dic59⋊C4—22no—
611Dic59⋊C4—22no—
612Dic59⋊C4—22no—
613Dic59⋊C4—22no—
614Dic59⋊C4—22no—
615Dic59⋊C4—22no—
616Dic59⋊C4—41no—
617Dic59⋊C4—41no—
618Dic59⋊C4—41no—
619Dic59⋊C4—41no—
620Dic59⋊C4—41no—
621Dic59⋊C4—41no—
622Dic59⋊C4—41no—
623Dic59⋊C4C2×D414yes—
624C4×Dic59—22no—
625C4×Dic59—22no—
626C4×Dic59—41no—
627C4×Dic59—41no—
628C4×Dic59—41no—
629C4×Dic59—41no—
630C4×Dic59C2×D414yes—
631C23×C59—21no—
632C23×C59—21no—
633C23×C59—21no—
634C23×C59—21no—
635C23×C59—21no—
636C23×C59—21no—
637C23×C59—21no—
638C23×C59—21no—
639C23×C59—21no—
640C23×C59—21no—
641C23×C59—21no—
642C23×C59—21no—
643C23×C59—21no—
644C23×C59—21no—
645C23×C59—21no—
646C23×C59—21no—
647C23×C59—21no—
648C23×C59—21no—
649C23×C59—21no—
650C23×C59—21no—
651C23×C59—21no—
652C23×C59—21no—
653C23×C59—21no—
654C23×C59—21no—
655C23×C59—21no—
656C23×C59—21no—
657C23×C59—21no—
658C23×C59—21no—
659C23×C59—21no—
660C23×C59—21no—
661C23×C59—21no—
662C23×C59—21no—
663C23×C59—44no—
664C23×C59—44no—
665C23×C59—44no—
666C23×C59—44no—
667C23×C59—44no—
668C23×C59—44no—
669C23×C59—44no—
670C23×C59C22×D412yes—
671C23×C59H(5,𝔽2)12yes—
672C23×C59H(5,𝔽2)12yes—
673C23×C59C2511yescharacteristic
674C22×D59—21no—
675C22×D59—21no—
676C22×D59—21no—
677C22×D59—21no—
678C22×D59—21no—
679C22×D59—21no—
680C22×D59—21no—
681C22×D59—21no—
682C22×D59—21no—
683C22×D59—21no—
684C22×D59—21no—
685C22×D59—21no—
686C22×D59—21no—
687C22×D59—21no—
688C22×D59—21no—
689C22×D59—21no—
690C22×D59—21no—
691C22×D59—21no—
692C22×D59—21no—
693C22×D59—21no—
694C22×D59—44no—
695C22×D59—82no—
696C22×D59—82no—
697C22×D59—82no—
698C22×D59—82no—
699C22×D59—82no—
700C22×D59—82no—
701C22×D59C22×D412yes—
702D4×C59—82no—
703D4×C59—82no—
704D4×C59—82no—
705D4×C59—82no—
706D4×C59—82no—
707D4×C59—82no—
708D4×C59—82no—
709C2×C4×C59—28no—
710C2×C4×C59—21no—
711C2×C4×C59—21no—
712C2×C4×C59—21no—
713C2×C4×C59—21no—
714C2×C4×C59—21no—
715C2×C4×C59—21no—
716C2×C4×C59—21no—
717C2×C4×C59—21no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—21no—
728C2×C4×C59—21no—
729C2×C4×C59—21no—
730C2×C4×C59—21no—
731C2×C4×C59—21no—
732C2×C4×C59—21no—
733C2×C4×C59—21no—
734C2×C4×C59—21no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—44no—
738C2×C4×C59—44no—
739C2×C4×C59—44no—
740C2×C4×C59—44no—
741C2×C4×C59—44no—
742C2×C4×C59C22×D412yes—
743C2×C4×C59C22×D412yes—
744C2×C4×C59H(5,𝔽2)12yes—
745C22⋊D59—44no—
746C22⋊D59—44no—
747C22⋊D59—44no—
748C22⋊D59—44no—
749C22⋊D59—44no—
750C22⋊D59—44no—
751C22⋊D59—44no—
752C22⋊D59—82no—
753C22⋊D59—82no—
754C22⋊D59—82no—
755C22⋊D59—82no—
756C22⋊D59—82no—
757C22⋊D59—82no—
758C2×Dic59—21no—
759C2×Dic59—21no—
760C2×Dic59—21no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—21no—
771C2×Dic59—21no—
772C2×Dic59—21no—
773C2×Dic59—21no—
774C2×Dic59—21no—
775C2×Dic59—21no—
776C2×Dic59—21no—
777C2×Dic59—21no—
778C2×Dic59—21no—
779C2×Dic59—21no—
780C2×Dic59—21no—
781C2×Dic59—21no—
782C2×Dic59—21no—
783C2×Dic59—21no—
784C2×Dic59—21no—
785C2×Dic59—21no—
786C2×Dic59—21no—
787C2×Dic59—21no—
788C2×Dic59—21no—
789C2×Dic59—21no—
790C2×Dic59—21no—
791C2×Dic59—21no—
792C2×Dic59—21no—
793C2×Dic59—21no—
794C2×Dic59—82no—
795C2×Dic59C22×D412yes—
796C2×Dic59C22×D412yes—
797C2×Dic59C22×D412yes—
798D236—44no—
799D236—82no—
800C4×D59—44no—
801C4×D59—44no—
802C4×D59—82no—
803Dic118—44no—
804Dic118—82no—
805#36724—591nomaximal, Sylow
806C22×C59—22no—
807C22×C59—22no—
808C22×C59—22no—
809C22×C59—22no—
810C22×C59—22no—
811C22×C59—22no—
812C22×C59—22no—
813C22×C59—22no—
814C22×C59—22no—
815C22×C59—416no—
816C22×C59—41no—
817C22×C59—41no—
818C22×C59—41no—
819C22×C59—41no—
820C22×C59—41no—
821C22×C59—41no—
822C22×C59—41no—
823C22×C59—41no—
824C22×C59—41no—
825C22×C59—41no—
826C22×C59—41no—
827C22×C59—41no—
828C22×C59—41no—
829C22×C59—41no—
830C22×C59—41no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59—41no—
837C22×C59—41no—
838C22×C59—41no—
839C22×C59—41no—
840C22×C59—41no—
841C22×C59—41no—
842C22×C59C23×D411yescharacteristic
843C22×C59C2×H(5,𝔽2)11yescharacteristic
844C22×C59C2×H(5,𝔽2)11yescharacteristic
845C22×C59C2×H(5,𝔽2)11yescharacteristic
846C22×C59#58511yescharacteristic
847C22×C59#58511yescharacteristic
848C22×C59#58511yescharacteristic
849C2×D59—22no—
850C2×D59—22no—
851C2×D59—22no—
852C2×D59—41no—
853C2×D59—41no—
854C2×D59—41no—
855C2×D59—41no—
856C2×D59—41no—
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—41no—
866C2×D59—41no—
867C2×D59—41no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—88no—
871C4×C59—22no—
872C4×C59—22no—
873C4×C59—22no—
874C4×C59—41no—
875C4×C59—41no—
876C4×C59—41no—
877C4×C59—41no—
878C4×C59—41no—
879C4×C59—41no—
880C4×C59—41no—
881Dic59—22no—
882Dic59—22no—
883Dic59—22no—
884Dic59—41no—
885Dic59—41no—
886Dic59—41no—
887Dic59—41no—
888Dic59—41no—
889Dic59—41no—
890Dic59—41no—
891Dic59—41no—
892Dic59—41no—
893Dic59—41no—
894C2×#538—591no—
895C2×#525—591no—
896#2849—591no—
897#2847D5911yescharacteristic, complemented
898#2705—591no—
899#2702—591no—
900#2700—591no—
901#2699—591no—
902#2687—591no—
903#2682—591no—
904#2681—591no—
905#2681—591no—
906#2679—591no—
907#2678—591no—
908#2678—591no—
909#2678—591no—
910#2672—591no—
911#2670—591no—
912#2669—591no—
913#2669—591no—
914#2635—591no—
915#2630—591no—
916#2610—591no—
917#2603—591no—
918#2601—591no—
919#2600—591no—
920#2544—591no—
921#2534—591no—
922#2407—591no—
923#2404—591no—
924#2319—591no—
925C2×C59—42no—
926C2×C59—42no—
927C2×C59—42no—
928C2×C59—81no—
929C2×C59—81no—
930C2×C59#344911yescharacteristic
931C2×C59#348411yescharacteristic
932C2×C59#348811yescharacteristic
933C2×C59#353311yescharacteristic
934C2×C59#353411yescharacteristic
935C2×C59#354011yescharacteristic
936C2×C59#354211yescharacteristic
937D59—42no—
938D59—81no—
939D59—81no—
940C22×#41—591no—
941C24×C4C2×D5911yescharacteristic, complemented
942#538—1188no—
943C2×#127—591no—
944C2×#126—591no—
945C2×#126—591no—
946C2×#124—591no—
947C2×#124—591no—
948C2×#124—591no—
949#525—1188no—
950C2×#123—591no—
951C2×#123—591no—
952C2×#123—591no—
953C2×#123—591no—
954C2×#123—591no—
955C2×#123—591no—
956C2×C22⋊Q8—591no—
957C2×C22⋊Q8—591no—
958C2×C22⋊Q8—591no—
959C2×C22⋊Q8—591no—
960C2×#121—591no—
961C2×#121—591no—
962C2×#121—591no—
963C2×#121—591no—
964C2×#121—591no—
965C2×#121C2×D5911yescharacteristic
966C2×#121C2×D5911yescharacteristic
967C2×#121C2×D5911yescharacteristic
968C2×#120—591no—
969C2×#120—591no—
970C2×#120—591no—
971C2×#120—591no—
972C2×#120—591no—
973C2×#120—591no—
974C2×#120—591no—
975C2×#120—591no—
976C2×#120C2×D5911yescharacteristic
977C2×#120C2×D5911yescharacteristic, complemented
978C2×C4×D4—591no—
979C2×C4×D4—591no—
980C2×C4×D4—591no—
981C2×C4×D4—591no—
982C2×C4×D4—591no—
983C2×#117—591no—
984C22×C22⋊C4—591no—
985#400—591no—
986#399—591no—
987#398—591no—
988#398—591no—
989#398—591no—
990#397—591no—
991#397—591no—
992#397—591no—
993#396—591no—
994#396—591no—
995#396—591no—
996#396—591no—
997#396—591no—
998#396—591no—
999#395—591no—
1000#394—591no—
1001#394—591no—
1002#394—591no—
1003#394—591no—
1004#394—591no—
1005#394—591no—
1006#394—591no—
1007#394—591no—
1008#394—591no—
1009#394—591no—
1010#394—591no—
1011#394—591no—
1012#394—591no—
1013#394—591no—
1014#394—591no—
1015#394—591no—
1016#394—591no—
1017#394—591no—
1018#394—591no—
1019#393—591no—
1020#393—591no—
1021#393—591no—
1022#392—591no—
1023#392—591no—
1024#392—591no—
1025#392—591no—
1026#392—591no—
1027#392—591no—
1028#392—591no—
1029#392—591no—
1030#392—591no—
1031#392—591no—
1032#392—591no—
1033#391—591no—
1034#391—591no—
1035#390—591no—
1036#390—591no—
1037#390—591no—
1038#390—591no—
1039#390—591no—
1040#390—591no—
1041#390—591no—
1042#390—591no—
1043#390—591no—
1044#389—591no—
1045#389—591no—
1046#389—591no—
1047#388—591no—
1048#388—591no—
1049#388—591no—
1050#388—591no—
1051#388—591no—
1052#388—591no—
1053#388—591no—
1054#388—591no—
1055#388—591no—
1056#388—591no—
1057#388—591no—
1058#388—591no—
1059#388—591no—
1060#388—591no—
1061#387—591no—
1062#387—591no—
1063#386—591no—
1064#386—591no—
1065#386—591no—
1066#386—591no—
1067#386—591no—
1068#386—591no—
1069#386—591no—
1070#386—591no—
1071#386—591no—
1072#386—591no—
1073#386C2×D5911yescharacteristic
1074#386C2×D5911yescharacteristic
1075#386C2×D5911yescharacteristic
1076#386C2×D5911yescharacteristic, complemented
1077#386C2×D5911yescharacteristic, complemented
1078#386C2×D5911yescharacteristic, complemented
1079#385—591no—
1080#385—591no—
1081#385—591no—
1082#385—591no—
1083#385—591no—
1084#385—591no—
1085#381—591no—
1086#381—591no—
1087#381—591no—
1088#381—591no—
1089#380—591no—
1090#380C2×D5911yescharacteristic, complemented
1091#380C2×D5911yescharacteristic, complemented
1092#380C2×D5911yescharacteristic, complemented
1093#379—591no—
1094#379—591no—
1095C4×C4⋊C4—591no—
1096#376—591no—
1097C59#3672411yescharacteristic, complemented, Sylow
1098C25—591no—
1099C25C22×D5911yescharacteristic
1100C2×#41—1184no—
1101C2×#41—2362no—
1102C2×#41—2362no—
1103C22×Q8—591no—
1104C22×Q8—591no—
1105C22×D4—591no—
1106C22×D4—591no—
1107C22×D4—591no—
1108C22×D4—591no—
1109C22×D4—591no—
1110C22×D4—591no—
1111C22×D4—591no—
1112C22×D4—591no—
1113C22×D4—591no—
1114C22×D4—591no—
1115C22×D4—591no—
1116C22×D4—591no—
1117C22×D4—591no—
1118C22×D4—591no—
1119C22×D4—591no—
1120C22×D4C22×D5911yescharacteristic
1121C22×D4C22×D5911yescharacteristic
1122C22×D4C22×D5911yescharacteristic
1123C22×D4C22×D5911yescharacteristic
1124C22×D4C22×D5911yescharacteristic
1125C22×D4C22×D5911yescharacteristic
1126C22×D4C22×D5911yescharacteristic
1127C23×C4—24no—
1128C23×C4—42no—
1129C23×C4—42no—
1130C23×C4—591no—
1131C23×C4—591no—
1132C23×C4—591no—
1133C23×C4—591no—
1134C23×C4C22×D5911yescharacteristic
1135C23×C4C22×D5911yescharacteristic
1136C23×C4C22×D5911yescharacteristic
1137C23×C4C22×D5911yescharacteristic
1138C23×C4C22×D5911yescharacteristic
1139C23×C4C22×D5911yescharacteristic
1140#127—2362no—
1141#126—1184no—
1142#126—1184no—
1143#124—1184no—
1144#124—1184no—
1145#124—2362no—
1146#123—1184no—
1147#123—1184no—
1148#123—1184no—
1149#123—1184no—
1150#123—2362no—
1151#123—2362no—
1152C22⋊Q8—1184no—
1153C22⋊Q8—1184no—
1154C22⋊Q8—1184no—
1155C22⋊Q8—2362no—
1156#121—24no—
1157#121—42no—
1158#121—42no—
1159#121—1184no—
1160#121—1184no—
1161#121—1184no—
1162#121—1184no—
1163#121—2362no—
1164#120—42no—
1165#120—42no—
1166#120—1184no—
1167#120—1184no—
1168#120—1184no—
1169#120—1184no—
1170#120—2362no—
1171#120—2362no—
1172#120—2362no—
1173#120—2362no—
1174C4×D4—598no—
1175C4×D4—1184no—
1176C4×D4—1184no—
1177C4×D4—1184no—
1178C4×D4—1184no—
1179#117—1184no—
1180C2×C4⋊C4—591no—
1181C2×C4⋊C4—591no—
1182C2×C4⋊C4—591no—
1183C2×C4⋊C4—591no—
1184C2×C4⋊C4—591no—
1185C2×C4⋊C4—591no—
1186C2×C4⋊C4—591no—
1187C2×C4⋊C4—591no—
1188C2×C4⋊C4—591no—
1189C2×C4⋊C4—591no—
1190C2×C4⋊C4—591no—
1191C2×C4⋊C4—591no—
1192C2×C4⋊C4—591no—
1193C2×C4⋊C4—591no—
1194C2×C4⋊C4—591no—
1195C2×C4⋊C4—591no—
1196C2×C4⋊C4—591no—
1197C2×C4⋊C4—591no—
1198C2×C4⋊C4—591no—
1199C2×C4⋊C4—591no—
1200C2×C4⋊C4—591no—
1201C2×C4⋊C4C22×D5911yescharacteristic
1202C2×C4⋊C4C22×D5911yescharacteristic
1203C2×C4⋊C4C22×D5911yescharacteristic
1204C2×C22⋊C4—591no—
1205C2×C22⋊C4—591no—
1206C2×C22⋊C4—591no—
1207C2×C22⋊C4—591no—
1208C2×C22⋊C4—591no—
1209C2×C22⋊C4—591no—
1210C2×C22⋊C4—591no—
1211C2×C22⋊C4—591no—
1212C2×C22⋊C4—591no—
1213C2×C22⋊C4—591no—
1214C2×C22⋊C4—591no—
1215C2×C22⋊C4—591no—
1216C2×C22⋊C4—591no—
1217C2×C22⋊C4—591no—
1218C2×C22⋊C4—591no—
1219C2×C22⋊C4—591no—
1220C2×C22⋊C4—591no—
1221C2×C22⋊C4—591no—
1222C2×C22⋊C4—591no—
1223C2×C22⋊C4—591no—
1224C2×C22⋊C4—591no—
1225C2×C22⋊C4—591no—
1226C2×C22⋊C4—591no—
1227C2×C22⋊C4—591no—
1228C2×C22⋊C4—591no—
1229C2×C22⋊C4—591no—
1230C2×C22⋊C4—591no—
1231C2×C22⋊C4—591no—
1232C2×C22⋊C4—591no—
1233C2×C22⋊C4—591no—
1234C2×C22⋊C4—591no—
1235C2×C22⋊C4—591no—
1236C2×C22⋊C4—591no—
1237C2×C22⋊C4—591no—
1238C2×C22⋊C4—591no—
1239C2×C22⋊C4—591no—
1240C2×C22⋊C4—591no—
1241C2×C22⋊C4—591no—
1242C2×C22⋊C4—591no—
1243C2×C22⋊C4—591no—
1244C2×C22⋊C4—591no—
1245C2×C22⋊C4—591no—
1246C2×C22⋊C4—591no—
1247C2×C22⋊C4—591no—
1248C2×C22⋊C4—591no—
1249C2×C22⋊C4—591no—
1250C2×C22⋊C4—591no—
1251C2×C22⋊C4—591no—
1252C2×C22⋊C4—1184no—
1253C2×C22⋊C4C22×D5911yescharacteristic
1254C2×C22⋊C4C22×D5911yescharacteristic
1255C2×C22⋊C4C22×D5911yescharacteristic
1256C2×C22⋊C4C22×D5911yescharacteristic
1257C2×C22⋊C4C22×D5911yescharacteristic
1258C2×C22⋊C4C22×D5911yescharacteristic
1259C2×C22⋊C4C22×D5911yescharacteristic
1260C2×C22⋊C4C22×D5911yescharacteristic
1261C2×C22⋊C4C22×D5911yescharacteristic
1262C2×C22⋊C4C22×D5911yescharacteristic
1263C2×C22⋊C4C22×D5911yescharacteristic
1264C2×C22⋊C4C22×D5911yescharacteristic
1265C2×C42—591no—
1266C2×C42—591no—
1267C2×C42—591no—
1268C2×C42—591no—
1269C2×C42—591no—
1270C2×C42—591no—
1271C2×C42—591no—
1272#95—591no—
1273#95—591no—
1274#95—591no—
1275#95—591no—
1276#95—591no—
1277#95—591no—
1278#95—591no—
1279#95—591no—
1280#95—591no—
1281#95—591no—
1282#95—591no—
1283#95—591no—
1284#95—591no—
1285#95—591no—
1286#95—591no—
1287#95—591no—
1288#95—591no—
1289#95—591no—
1290#95—591no—
1291#95—591no—
1292#95—591no—
1293#95—591no—
1294#95C22×D5911yescharacteristic
1295#95C22×D5911yescharacteristic
1296#95C22×D5911yescharacteristic
1297#95C22×D5911yescharacteristic
1298#95C22×D5911yescharacteristic
1299#95C22×D5911yescharacteristic
1300C24—22no—
1301C24—22no—
1302C24—22no—
1303C24—41no—
1304C24—41no—
1305C24—41no—
1306C24—41no—
1307C24—591no—
1308C24—591no—
1309C24—591no—
1310C24—1182no—
1311C24—2361no—
1312C24—2361no—
1313C24—2361no—
1314C24—2361no—
1315C24—2361no—
1316C24—2361no—
1317C24C23×D5911yescharacteristic
1318C24C23×D5911yescharacteristic
1319C24C23×D5911yescharacteristic
1320C24C23×D5911yescharacteristic
1321C24C23×D5911yescharacteristic
1322#41—23616no—
1323C2×Q8—1182no—
1324C2×Q8—1182no—
1325C2×Q8—1182no—
1326C2×Q8—2361no—
1327C2×Q8—2361no—
1328C2×Q8—2361no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—41no—
1350C2×D4—594no—
1351C2×D4—1182no—
1352C2×D4—1182no—
1353C2×D4—1182no—
1354C2×D4—1182no—
1355C2×D4—1182no—
1356C2×D4—1182no—
1357C2×D4—1182no—
1358C2×D4—1182no—
1359C2×D4—1182no—
1360C2×D4—1182no—
1361C2×D4—1182no—
1362C2×D4—1182no—
1363C2×D4—1182no—
1364C2×D4—1182no—
1365C2×D4—1182no—
1366C2×D4—1182no—
1367C2×D4—2361no—
1368C2×D4—2361no—
1369C2×D4—2361no—
1370C2×D4—2361no—
1371C2×D4—2361no—
1372C2×D4—2361no—
1373C2×D4—2361no—
1374C2×D4—2361no—
1375C2×D4—2361no—
1376C2×D4—2361no—
1377C2×D4—2361no—
1378C2×D4—2361no—
1379C2×D4—2361no—
1380C2×D4—2361no—
1381C2×D4—2361no—
1382C2×D4—2361no—
1383C2×D4—2361no—
1384C2×D4—2361no—
1385C2×D4—2361no—
1386C2×D4—2361no—
1387C2×D4—2361no—
1388C2×D4—2361no—
1389C2×D4—2361no—
1390C2×D4—2361no—
1391C2×D4—2361no—
1392C2×D4—2361no—
1393C2×D4—2361no—
1394C2×D4—2361no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—41no—
1406C22×C4—41no—
1407C22×C4—41no—
1408C22×C4—41no—
1409C22×C4—41no—
1410C22×C4—41no—
1411C22×C4—41no—
1412C22×C4—416no—
1413C22×C4—591no—
1414C22×C4—591no—
1415C22×C4—591no—
1416C22×C4—594no—
1417C22×C4—591no—
1418C22×C4—591no—
1419C22×C4—591no—
1420C22×C4—591no—
1421C22×C4—591no—
1422C22×C4—591no—
1423C22×C4—591no—
1424C22×C4—591no—
1425C22×C4—591no—
1426C22×C4—591no—
1427C22×C4—1182no—
1428C22×C4—1182no—
1429C22×C4—1182no—
1430C22×C4—2361no—
1431C22×C4—2361no—
1432C22×C4—2361no—
1433C22×C4—2361no—
1434C22×C4—2361no—
1435C22×C4—2361no—
1436C22×C4—2361no—
1437C22×C4—2361no—
1438C22×C4D4×D5914yes—
1439C22×C4C23×D5911yescharacteristic
1440C22×C4C23×D5911yescharacteristic
1441C22×C4C23×D5911yescharacteristic
1442C22×C4C23×D5911yescharacteristic
1443C22×C4C23×D5911yescharacteristic
1444C22×C4C23×D5911yescharacteristic
1445C22×C4C23×D5911yescharacteristic
1446C22×C4C23×D5911yescharacteristic
1447C22×C4C23×D5911yescharacteristic
1448C22×C4C23×D5911yescharacteristic
1449C4⋊C4—22no—
1450C4⋊C4—41no—
1451C4⋊C4—41no—
1452C4⋊C4—594no—
1453C4⋊C4—1182no—
1454C4⋊C4—1182no—
1455C4⋊C4—1182no—
1456C4⋊C4—1182no—
1457C4⋊C4—1182no—
1458C4⋊C4—1182no—
1459C4⋊C4—1182no—
1460C4⋊C4—1182no—
1461C4⋊C4—1182no—
1462C4⋊C4—1182no—
1463C4⋊C4—2361no—
1464C4⋊C4—2361no—
1465C4⋊C4—2361no—
1466C4⋊C4—2361no—
1467C4⋊C4—2361no—
1468C4⋊C4—2361no—
1469C4⋊C4—2361no—
1470C4⋊C4—2361no—
1471C4⋊C4—2361no—
1472C4⋊C4—2361no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—594no—
1486C22⋊C4—594no—
1487C22⋊C4—1182no—
1488C22⋊C4—1182no—
1489C22⋊C4—1182no—
1490C22⋊C4—1182no—
1491C22⋊C4—1182no—
1492C22⋊C4—1182no—
1493C22⋊C4—1182no—
1494C22⋊C4—1182no—
1495C22⋊C4—1182no—
1496C22⋊C4—1182no—
1497C22⋊C4—1182no—
1498C22⋊C4—1182no—
1499C22⋊C4—1182no—
1500C22⋊C4—1182no—
1501C22⋊C4—1182no—
1502C22⋊C4—1182no—
1503C22⋊C4—1182no—
1504C22⋊C4—1182no—
1505C22⋊C4—1182no—
1506C22⋊C4—1182no—
1507C22⋊C4—1182no—
1508C22⋊C4—2361no—
1509C22⋊C4—2361no—
1510C22⋊C4—2361no—
1511C22⋊C4—2361no—
1512C22⋊C4—2361no—
1513C22⋊C4—2361no—
1514C22⋊C4—2361no—
1515C22⋊C4—2361no—
1516C22⋊C4—2361no—
1517C22⋊C4—2361no—
1518C22⋊C4—2361no—
1519C22⋊C4—2361no—
1520C22⋊C4—2361no—
1521C22⋊C4—2361no—
1522C22⋊C4—2361no—
1523C22⋊C4—2361no—
1524C22⋊C4—2361no—
1525C22⋊C4—2361no—
1526C22⋊C4—2361no—
1527C22⋊C4—2361no—
1528C22⋊C4—2361no—
1529C22⋊C4—2361no—
1530C22⋊C4—2361no—
1531C22⋊C4—2361no—
1532C22⋊C4—2361no—
1533C42—594no—
1534C42—1182no—
1535C42—1182no—
1536C42—2361no—
1537C42—2361no—
1538C42—2361no—
1539C42—2361no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—44no—
1573C23—44no—
1574C23—44no—
1575C23—44no—
1576C23—44no—
1577C23—44no—
1578C23—44no—
1579C23—592no—
1580C23—1181no—
1581C23—1181no—
1582C23—1181no—
1583C23—1181no—
1584C23—1181no—
1585C23—1181no—
1586C23—1181no—
1587C23—1181no—
1588C23—1181no—
1589C23—1181no—
1590C23—1181no—
1591C23—1181no—
1592C23—1181no—
1593C23—1181no—
1594C23—1181no—
1595C23—1181no—
1596C23—1181no—
1597C23—1181no—
1598C23—1181no—
1599C23—1181no—
1600C23—4722no—
1601C23—4722no—
1602C23—4722no—
1603C23—4722no—
1604C23—4722no—
1605C23—4722no—
1606C23—2364no—
1607C23C2×D4×D5912yes—
1608C23#1427377212yes—
1609C23#1427377212yes—
1610C23C24×D5911yescharacteristic
1611Q8—4722no—
1612Q8—2364no—
1613D4—82no—
1614D4—82no—
1615D4—82no—
1616D4—82no—
1617D4—82no—
1618D4—82no—
1619D4—82no—
1620D4—4722no—
1621D4—4722no—
1622D4—4722no—
1623D4—4722no—
1624D4—4722no—
1625D4—4722no—
1626D4—4722no—
1627D4—2364no—
1628D4—2364no—
1629D4—2364no—
1630D4—2364no—
1631D4—2364no—
1632D4—2364no—
1633D4—2364no—
1634D4—2364no—
1635C2×C4—28no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—44no—
1664C2×C4—44no—
1665C2×C4—44no—
1666C2×C4—44no—
1667C2×C4—44no—
1668C2×C4—592no—
1669C2×C4—592no—
1670C2×C4—592no—
1671C2×C4—1181no—
1672C2×C4—1181no—
1673C2×C4—1181no—
1674C2×C4—1181no—
1675C2×C4—1181no—
1676C2×C4—1181no—
1677C2×C4—1181no—
1678C2×C4—1181no—
1679C2×C4—1181no—
1680C2×C4—1181no—
1681C2×C4—1181no—
1682C2×C4—1181no—
1683C2×C4—1181no—
1684C2×C4—1181no—
1685C2×C4—1181no—
1686C2×C4—1181no—
1687C2×C4—1181no—
1688C2×C4—1181no—
1689C2×C4—1181no—
1690C2×C4—1181no—
1691C2×C4—1181no—
1692C2×C4—1181no—
1693C2×C4—1181no—
1694C2×C4—1181no—
1695C2×C4—1181no—
1696C2×C4—1181no—
1697C2×C4—1181no—
1698C2×C4—1181no—
1699C2×C4—1181no—
1700C2×C4—1181no—
1701C2×C4—1181no—
1702C2×C4—1181no—
1703C2×C4—1181no—
1704C2×C4—1181no—
1705C2×C4—1181no—
1706C2×C4—1181no—
1707C2×C4—4722no—
1708C2×C4—4722no—
1709C2×C4—2364no—
1710C2×C4—2364no—
1711C2×C4C2×D4×D5912yes—
1712C2×C4C2×D4×D5912yes—
1713C2×C4#1427377212yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—416no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—1182no—
1751C22—1182no—
1752C22—1182no—
1753C22—4728no—
1754C22—2361no—
1755C22—2361no—
1756C22—2361no—
1757C22—2361no—
1758C22—2361no—
1759C22—2361no—
1760C22—2361no—
1761C22—2361no—
1762C22—2361no—
1763C22—2361no—
1764C22—2361no—
1765C22—2361no—
1766C22—2361no—
1767C22—2361no—
1768C22—2361no—
1769C22—2361no—
1770C22—2361no—
1771C22—2361no—
1772C22C22×D4×D5911yescharacteristic
1773C22C2×#1427377211yescharacteristic
1774C22C2×#1427377211yescharacteristic
1775C22C2×#1427377211yescharacteristic
1776C22#1683823811yescharacteristic
1777C22#1683823811yescharacteristic
1778C22#1683823811yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—1182no—
1790C4—1182no—
1791C4—1182no—
1792C4—2361no—
1793C4—2361no—
1794C4—2361no—
1795C4—2361no—
1796C4—2361no—
1797C4—2361no—
1798C4—2361no—
1799C4—2361no—
1800C4—2361no—
1801C4—2361no—
1802C2—42no—
1803C2—42no—
1804C2—42no—
1805C2—81no—
1806C2—81no—
1807C2—4721no—
1808C2—4721no—
1809C2—2362no—
1810C2#2143742611yescharacteristic
1811C2#2143772511yescharacteristic
1812C2#2143776111yescharacteristic
1813C2#2143826011yescharacteristic
1814C2#2143828611yescharacteristic
1815C2#2143837111yescharacteristic
1816C2#2143841611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2847C2
hypercenter#2847D59
hypocenterC59#36724
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2847

Complements

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

NH ≅ G/Ntype
1. C2×#16837984C2semidirect
2. C2×#16837913C2semidirect
3. #21432388C2semidirect
4. #21430769C2semidirect
5. #21430724C2semidirect
6. #21430698C2semidirect
7. #21430685C2semidirect
8. #21430518C2semidirect
9. #21430457C2semidirect
10. #21430452C2semidirect
11. #21430442C2semidirect
12. #21430430C2semidirect
13. #21430424C2semidirect
14. #21430422C2semidirect
15. #21430417C2semidirect
16. #21430348C2semidirect
17. #21430318C2semidirect
18. #21430313C2semidirect
19. #21430308C2semidirect
20. #21429981C2semidirect
21. #21429937C2semidirect
22. #21429779C2semidirect
23. #21429720C2semidirect
24. #21429689C2semidirect
25. #21429680C2semidirect
26. #21429065C2semidirect
27. #21428984C2semidirect
28. #21427438C2semidirect
29. #21427413C2semidirect
30. #21426738C2semidirect
31. C59×#2847C2semidirect
35. C2×#14273722C22semidirect
36. C2×#14273720C22semidirect
38. C2×#14273713C22semidirect
39. C2×#14273713C22semidirect
44. C2×#14273710C22semidirect
46. C2×#14273708C22semidirect
47. C2×#14273706C22semidirect
48. C2×#14273706C22semidirect
49. C2×#14273705C22semidirect
50. C2×#14273704C22semidirect
54. C2×#14273699C22semidirect
56. C2×#14273697C22semidirect
59. C2×#14273696C22semidirect
63. C2×#14273695C22semidirect
66. C2×C4×C22⋊D59C22semidirect
67. C2×C4×C22⋊D59C22semidirect
68. C2×(C22⋊D59)⋊C4C22semidirect
69. C2×#14273686C22semidirect
70. C2×C22⋊C4×D59C22semidirect
71. #16837340C22semidirect
72. #16837337C22semidirect
73. #16837336C22semidirect
74. #16837334C22semidirect
75. #16837332C22semidirect
76. #16837331C22semidirect
77. #16837330C22semidirect
78. #16837327C22semidirect
79. #16837326C22semidirect
80. #16837325C22semidirect
81. #16837325C22semidirect
82. #16837325C22semidirect
83. #16837324C22semidirect
84. #16837324C22semidirect
85. #16837323C22semidirect
86. #16837320C22semidirect
87. #16837320C22semidirect
88. #16837319C22semidirect
91. #16837318C22semidirect
92. #16837318C22semidirect
93. #16837318C22semidirect
97. #16837317C22semidirect
98. #16837317C22semidirect
102. #16837316C22semidirect
103. #16837316C22semidirect
104. #16837316C22semidirect
105. #16837315C22semidirect
106. #16837314C22semidirect
107. #16837314C22semidirect
110. #16837311C22semidirect
117. #16837310C22semidirect
118. #16837310C22semidirect
119. #16837306C22semidirect
120. #16837306C22semidirect
123. #16837305C22semidirect
127. #16837302C22semidirect
128. #16837302C22semidirect
129. #16837302C22semidirect
130. #16837299C22semidirect
131. #16837297C22semidirect
132. #16837297C22semidirect
133. #16837295C22semidirect
134. #16837295C22semidirect
135. #16837295C22semidirect
136. #16837295C22semidirect
137. #16837294C22semidirect
138. #16837294C22semidirect
139. #16837294C22semidirect
140. #16837292C22semidirect
141. #16837292C22semidirect
142. #16837290C22semidirect
143. #16837290C22semidirect
144. #16837290C22semidirect
145. #16837290C22semidirect
146. #16837290C22semidirect
147. #16837287C22semidirect
148. #16837284C22semidirect
149. #16837282C22semidirect
154. #16837280C22semidirect
155. #16837280C22semidirect
157. #16837278C22semidirect
158. #16837278C22semidirect
159. #16837276C22semidirect
160. #16837275C22semidirect
161. #16837275C22semidirect
162. #16837275C22semidirect
163. #16837275C22semidirect
164. #16837274C22semidirect
165. #16837265C22semidirect
166. #16837265C22semidirect
167. #16837264C22semidirect
168. #16837264C22semidirect
169. #16837261C22semidirect
170. #16837258C22semidirect
171. #16837257C22semidirect
172. #16837253C22semidirect
173. #16837247C22semidirect
174. C24×C4×C59C22semidirect
179. C2×#120×C59C22semidirect
183. C59×#386C22semidirect
184. C59×#386C22semidirect
185. C59×#386C22semidirect
186. C59×#380C22semidirect
187. C59×#380C22semidirect
188. C59×#380C22semidirect
246. C4×C22⋊D59D4semidirect
897. #2847D59semidirect
941. C24×C4C2×D59semidirect
977. C2×#120C2×D59semidirect
1076. #386C2×D59semidirect
1077. #386C2×D59semidirect
1078. #386C2×D59semidirect
1090. #380C2×D59semidirect
1091. #380C2×D59semidirect
1092. #380C2×D59semidirect
1097. C59#36724semidirect

Maximal subgroups

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

subgroupindex
C2×#168379842
C2×#168379132
#214323882
#214307692
#214307242
#214306982
#214306852
#214305182
#214304572
#214304522
#214304422
#214304302
#214304242
#214304222
#214304172
#214303482
#214303182
#214303132
#214303082
#214299812
#214299372
#214297792
#214297202
#214296892
#214296802
#214290652
#214289842
#214274382
#214274132
#214267382
C59×#28472
#3672459