Finite Group Databasebeta

← #28795565

Subgroups — #28795565

Order 15104.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16838021C211yesmaximal, characteristic, complemented
2C2×#16837912C211yesmaximal, characteristic, complemented
3#21432389C211yesmaximal, characteristic, complemented
4#21432382C211yesmaximal, characteristic, complemented
5#21430651C211yesmaximal, characteristic, complemented
6#21430624C211yesmaximal, characteristic, complemented
7#21430599C211yesmaximal, characteristic, complemented
8#21430572C211yesmaximal, characteristic, complemented
9#21430547C211yesmaximal, characteristic, complemented
10#21430489C211yesmaximal, characteristic, complemented
11#21430472C211yesmaximal, characteristic, complemented
12#21430409C211yesmaximal, characteristic, complemented
13#21430399C211yesmaximal, characteristic, complemented
14#21430381C211yesmaximal, characteristic, complemented
15#21430374C211yesmaximal, characteristic, complemented
16#21430348C211yesmaximal, characteristic, complemented
17#21430328C211yesmaximal, characteristic, complemented
18#21430324C211yesmaximal, characteristic, complemented
19#21430302C211yesmaximal, characteristic, complemented
20#21430012C211yesmaximal, characteristic, complemented
21#21429934C211yesmaximal, characteristic, complemented
22#21429775C211yesmaximal, characteristic, complemented
23#21429703C211yesmaximal, characteristic, complemented
24#21429668C211yesmaximal, characteristic, complemented
25#21429660C211yesmaximal, characteristic, complemented
26#21429449C211yesmaximal, characteristic, complemented
27#21429274C211yesmaximal, characteristic, complemented
28#21427719C211yesmaximal, characteristic, complemented
29#21427704C211yesmaximal, characteristic, complemented
30#21426722C211yesmaximal, characteristic, complemented
31C59×#2686C211yesmaximal, characteristic, complemented
32C22×#11745687C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34#16838021—28no—
35C2×#14273727C2211yescharacteristic, complemented
36C2×#14273726C2211yescharacteristic, complemented
37C2×#14273720C2211yescharacteristic
38C2×#14273720C2211yescharacteristic, complemented
39C2×#14273713C2211yescharacteristic
40C2×#14273713C2211yescharacteristic
41C2×#14273713C2211yescharacteristic, complemented
42#16837912—28no—
43C2×#14273711C2211yescharacteristic
44C2×#14273711C2211yescharacteristic, complemented
45C2×#14273710C2211yescharacteristic
46C2×#14273709C2211yescharacteristic
47C2×#14273709C2211yescharacteristic
48C2×#14273707C2211yescharacteristic
49C2×#14273706C2211yescharacteristic
50C2×#14273705C2211yescharacteristic
51C2×#14273705C2211yescharacteristic
52C2×#14273704C2211yescharacteristic
53C2×#14273704C2211yescharacteristic, complemented
54C2×#14273703C2211yescharacteristic, complemented
55C2×#14273701C2211yescharacteristic
56C2×#14273699C2211yescharacteristic, complemented
57C2×#14273698C2211yescharacteristic
58C2×#14273698C2211yescharacteristic
59C2×#14273697C2211yescharacteristic
60C2×#14273695C2211yescharacteristic
61C2×#14273695C2211yescharacteristic
62C2×Q8×Dic59C2211yescharacteristic, complemented
63C2×D4×Dic59C2211yescharacteristic
64C2×D4×Dic59C2211yescharacteristic
65C2×(C22⋊D59)⋊C4C2211yescharacteristic
66C2×(C22⋊D59)⋊C4C2211yescharacteristic
67C2×#14273685C2211yescharacteristic
68C2×#14273684C2211yescharacteristic, complemented
69#16837343C2211yescharacteristic, complemented
70#16837343C2211yescharacteristic, complemented
71#16837339C2211yescharacteristic
72#16837338C2211yescharacteristic, complemented
73#16837337C2211yescharacteristic
74#16837337C2211yescharacteristic, complemented
75#16837336C2211yescharacteristic, complemented
76#16837335C2211yescharacteristic, complemented
77#16837334C2211yescharacteristic, complemented
78#16837332C2211yescharacteristic, complemented
79#16837330C2211yescharacteristic
80#16837330C2211yescharacteristic
81#16837330C2211yescharacteristic, complemented
82#16837329C2211yescharacteristic
83#16837327C2211yescharacteristic
84#16837326C2211yescharacteristic
85#16837325C2211yescharacteristic, complemented
86#16837324C2211yescharacteristic, complemented
87#16837324C2211yescharacteristic, complemented
88#16837323C2211yescharacteristic, complemented
89#16837323C2211yescharacteristic, complemented
90#16837322C2211yescharacteristic, complemented
91#16837320C2211yescharacteristic
92#16837318C2211yescharacteristic
93#16837318C2211yescharacteristic
94#16837318C2211yescharacteristic
95#16837317C2211yescharacteristic
96#16837317C2211yescharacteristic
97#16837317C2211yescharacteristic
98#16837317C2211yescharacteristic, complemented
99#16837317C2211yescharacteristic, complemented
100#16837316C2211yescharacteristic
101#16837316C2211yescharacteristic, complemented
102#16837315C2211yescharacteristic
103#16837315C2211yescharacteristic, complemented
104#16837314C2211yescharacteristic, complemented
105#16837313C2211yescharacteristic
106#16837313C2211yescharacteristic
107#16837311C2211yescharacteristic
108#16837311C2211yescharacteristic
109#16837311C2211yescharacteristic
110#16837310C2211yescharacteristic
111#16837306C2211yescharacteristic, complemented
112#16837303C2211yescharacteristic
113#16837302C2211yescharacteristic
114#16837302C2211yescharacteristic
115#16837302C2211yescharacteristic
116#16837299C2211yescharacteristic, complemented
117#16837299C2211yescharacteristic, complemented
118#16837299C2211yescharacteristic, complemented
119#16837296C2211yescharacteristic
120#16837294C2211yescharacteristic
121#16837293C2211yescharacteristic
122#16837293C2211yescharacteristic
123#16837292C2211yescharacteristic
124#16837292C2211yescharacteristic
125#16837291C2211yescharacteristic, complemented
126#16837291C2211yescharacteristic, complemented
127#16837290C2211yescharacteristic
128#16837289C2211yescharacteristic, complemented
129#16837289C2211yescharacteristic, complemented
130#16837288C2211yescharacteristic, complemented
131#16837288C2211yescharacteristic, complemented
132#16837287C2211yescharacteristic, complemented
133#16837285C2211yescharacteristic, complemented
134#16837284C2211yescharacteristic, complemented
135#16837282C2211yescharacteristic
136#16837281C2211yescharacteristic
137#16837280C2211yescharacteristic
138#16837280C2211yescharacteristic
139#16837280C2211yescharacteristic
140#16837280C2211yescharacteristic
141#16837280C2211yescharacteristic
142#16837280C2211yescharacteristic
143#16837279C2211yescharacteristic
144#16837279C2211yescharacteristic
145#16837279C2211yescharacteristic, complemented
146#16837278C2211yescharacteristic, complemented
147#16837277C2211yescharacteristic, complemented
148#16837277C2211yescharacteristic, complemented
149#16837276C2211yescharacteristic
150#16837276C2211yescharacteristic
151#16837276C2211yescharacteristic
152#16837276C2211yescharacteristic
153#16837276C2211yescharacteristic
154#16837276C2211yescharacteristic
155#16837275C2211yescharacteristic
156#16837275C2211yescharacteristic, complemented
157#16837274C2211yescharacteristic, complemented
158#16837274C2211yescharacteristic, complemented
159#16837273C2211yescharacteristic
160#16837273C2211yescharacteristic
161#16837273C2211yescharacteristic, complemented
162#16837269C2211yescharacteristic, complemented
163#16837266C2211yescharacteristic, complemented
164#16837263C2211yescharacteristic
165#16837261C2211yescharacteristic
166#16837261C2211yescharacteristic
167#16837260C2211yescharacteristic
168#16837260C2211yescharacteristic, complemented
169#16837257C2211yescharacteristic
170#16837257C2211yescharacteristic
171#16837257C2211yescharacteristic
172C22⋊C4×Dic59C2211yescharacteristic, complemented
173C2×C59⋊#95C2211yescharacteristic, complemented
174C2×#124×C59C2211yescharacteristic
175C2×#121×C59C2211yescharacteristic
176C59×#397C2211yescharacteristic, complemented
177C59×#395C2211yescharacteristic, complemented
178C59×#394C2211yescharacteristic
179C59×#394C2211yescharacteristic
180C59×#394C2211yescharacteristic, complemented
181C59×#393C2211yescharacteristic, complemented
182C59×#388C2211yescharacteristic, complemented
183C59×#387C2211yescharacteristic, complemented
184C59×#386C2211yescharacteristic
185C59×#386C2211yescharacteristic, complemented
186C59×#385C2211yescharacteristic
187C59×#381C2211yescharacteristic
188C59×#380C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C2×#11745687—24no—
191C2×#11745687—42no—
192C2×#11745687—42no—
193C22×Dic118C2311yescharacteristic
194C22×Dic118C2311yescharacteristic
195C22×Dic118C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×D236C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C22×C22⋊D59C2311yescharacteristic
205C23×Dic59C2311yescharacteristic
206C23×Dic59C2311yescharacteristic
207C23×Dic59C2311yescharacteristic
208C23×Dic59C2311yescharacteristic
209C22×C4×D59—24no—
210C22×C4×D59—42no—
211C22×C4×D59—42no—
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215C22×C4×D59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217#14273727—24no—
218#14273726—42no—
219#14273720—24no—
220#14273720—24no—
221#14273713—24no—
222#14273713—24no—
223#14273713—42no—
224#14273711—24no—
225#14273711—24no—
226#14273710—42no—
227#14273709—24no—
228#14273709—24no—
229#14273707—24no—
230#14273706—24no—
231#14273705—42no—
232#14273705—42no—
233#14273704—24no—
234#14273704—24no—
235#14273703—24no—
236#14273701—42no—
237#14273699—42no—
238#14273698—24no—
239#14273698—24no—
240#14273697—42no—
241#14273695—24no—
242#14273695—24no—
243Q8×Dic59—24no—
244D4×Dic59—24no—
245D4×Dic59D418yescomplemented
246(C22⋊D59)⋊C4—24no—
247(C22⋊D59)⋊C4—24no—
248#14273685—24no—
249#14273684—24no—
250C2×C4⋊Dic59C2311yescharacteristic
251C2×C4⋊Dic59C2311yescharacteristic
252C2×C4⋊Dic59C2311yescharacteristic
253C2×C4⋊Dic59C2311yescharacteristic
254C2×C4⋊Dic59C2311yescharacteristic
255C2×C4⋊Dic59C2311yescharacteristic
256C2×C4⋊Dic59C2311yescharacteristic
257C2×C4⋊Dic59C2311yescharacteristic
258C2×C4⋊Dic59C2311yescharacteristic
259C2×C4⋊Dic59C2311yescharacteristic
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×Dic59⋊C4C2311yescharacteristic
271C2×Dic59⋊C4C2311yescharacteristic
272C2×Dic59⋊C4C2311yescharacteristic
273C2×Dic59⋊C4C2311yescharacteristic
274C2×Dic59⋊C4C2311yescharacteristic
275C2×Dic59⋊C4C2311yescharacteristic
276C2×Dic59⋊C4C2311yescharacteristic
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×(C2×D59)⋊C4C2311yescharacteristic
290C2×(C2×D59)⋊C4C2311yescharacteristic
291C2×(C2×D59)⋊C4C2311yescharacteristic
292C2×(C2×D59)⋊C4C2311yescharacteristic
293C2×(C2×D59)⋊C4C2311yescharacteristic
294C2×(C2×D59)⋊C4C2311yescharacteristic
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×C4×Dic59C2311yescharacteristic
317C2×C4×Dic59C2311yescharacteristic
318C2×C4×Dic59C2311yescharacteristic
319C2×C4×Dic59C2311yescharacteristic
320C2×C4×Dic59C2311yescharacteristic
321C2×C4×Dic59C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
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
348C22×Q8×C59C2311yescharacteristic
349C22×D4×C59C2311yescharacteristic
350C22×D4×C59C2311yescharacteristic
351C22×D4×C59C2311yescharacteristic
352C23×C4×C59C2311yescharacteristic
353C23×C4×C59C2311yescharacteristic
354#124×C59—24no—
355#121×C59—24no—
356C2×C4⋊C4×C59C2311yescharacteristic
357C2×C4⋊C4×C59C2311yescharacteristic
358C2×C4⋊C4×C59C2311yescharacteristic
359C2×C4⋊C4×C59C2311yescharacteristic
360C2×C4⋊C4×C59C2311yescharacteristic
361C2×C22⋊C4×C59C2311yescharacteristic
362C2×C22⋊C4×C59C2311yescharacteristic
363C2×C22⋊C4×C59C2311yescharacteristic
364C2×C22⋊C4×C59C2311yescharacteristic
365C2×C22⋊C4×C59C2311yescharacteristic
366C2×C22⋊C4×C59C2311yescharacteristic
367C2×C22⋊C4×C59C2311yescharacteristic
368C2×C22⋊C4×C59C2311yescharacteristic
369C2×C22⋊C4×C59C2311yescharacteristic
370C2×C22⋊C4×C59C2311yescharacteristic
371C2×C22⋊C4×C59C2311yescharacteristic
372C2×C22⋊C4×C59C2311yescharacteristic
373C2×C22⋊C4×C59C2311yescharacteristic
374C2×C42×C59C2311yescharacteristic
375#95×C59C2311yescharacteristic
376#95×C59C2311yescharacteristic
377#95×C59C2311yescharacteristic
378#95×C59C2311yescharacteristic
379#95×C59C2311yescharacteristic
380#95×C59C2311yescharacteristic
381#95×C59C2311yescharacteristic
382#95×C59C2311yescharacteristic
383#95×C59C2311yescharacteristic
384#95×C59C2311yescharacteristic
385C24×C59C2411yescharacteristic
386C24×C59C2411yescharacteristic
387C24×C59C2411yescharacteristic
388C23×D59—22no—
389C23×D59—22no—
390C23×D59—22no—
391C23×D59—41no—
392C23×D59—41no—
393C23×D59—41no—
394C23×D59—41no—
395C23×D59C2411yescharacteristic
396C23×D59C2411yescharacteristic
397C23×D59C2411yescharacteristic
398C2×Q8×C59—22no—
399C2×Q8×C59—41no—
400C2×Q8×C59—41no—
401C2×D4×C59—22no—
402C2×D4×C59—22no—
403C2×D4×C59—22no—
404C2×D4×C59—41no—
405C2×D4×C59—41no—
406C2×D4×C59—41no—
407C2×D4×C59—41no—
408C2×D4×C59—41no—
409C2×D4×C59C2×D414yes—
410C22×C4×C59—22no—
411C22×C4×C59—22no—
412C22×C4×C59—41no—
413C22×C4×C59—41no—
414C22×C4×C59—41no—
415C22×C4×C59—41no—
416C22×C4×C59C2411yescharacteristic
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—41no—
447C2×C22⋊D59—41no—
448C2×C22⋊D59—41no—
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×Dic59C2×D414yes—
460C22×Dic59C2×D414yes—
461C22×Dic59C2411yescharacteristic
462C22×Dic59C2411yescharacteristic
463C22×Dic59C2411yescharacteristic
464C22×Dic59C2411yescharacteristic
465C22×Dic59C2411yescharacteristic
466C22×Dic59C2411yescharacteristic
467C22×Dic59C2411yescharacteristic
468C22×Dic59C2411yescharacteristic
469C22×Dic59C2411yescharacteristic
470C22×Dic59C2411yescharacteristic
471C22×Dic59C2411yescharacteristic
472C22×Dic59C2411yescharacteristic
473C22×Dic59C2411yescharacteristic
474#11745687—416no—
475C2×D236—22no—
476C2×D236—22no—
477C2×D236—41no—
478C2×D236—41no—
479C2×D236—41no—
480C2×D236—41no—
481C2×C4×D59—22no—
482C2×C4×D59—22no—
483C2×C4×D59—22no—
484C2×C4×D59—22no—
485C2×C4×D59—22no—
486C2×C4×D59—22no—
487C2×C4×D59—22no—
488C2×C4×D59—22no—
489C2×C4×D59—22no—
490C2×C4×D59—416no—
491C2×C4×D59—41no—
492C2×C4×D59—41no—
493C2×C4×D59—41no—
494C2×C4×D59—41no—
495C2×C4×D59—41no—
496C2×C4×D59—41no—
497C2×Dic118—22no—
498C2×Dic118—22no—
499C2×Dic118—22no—
500C2×Dic118—22no—
501C2×Dic118—41no—
502C2×Dic118—41no—
503C2×Dic118—41no—
504C2×Dic118—41no—
505C2×Dic118—41no—
506C4⋊C4×C59—22no—
507C4⋊C4×C59—22no—
508C4⋊C4×C59—41no—
509C4⋊C4×C59—41no—
510C4⋊C4×C59—41no—
511C22⋊C4×C59—22no—
512C22⋊C4×C59—22no—
513C22⋊C4×C59—22no—
514C22⋊C4×C59—22no—
515C22⋊C4×C59—22no—
516C22⋊C4×C59—22no—
517C22⋊C4×C59—41no—
518C22⋊C4×C59—41no—
519C22⋊C4×C59—41no—
520C22⋊C4×C59—41no—
521C22⋊C4×C59—41no—
522C22⋊C4×C59—41no—
523C22⋊C4×C59—41no—
524C42×C59—22no—
525C22⋊Dic59—22no—
526C22⋊Dic59—22no—
527C22⋊Dic59—22no—
528C22⋊Dic59—22no—
529C22⋊Dic59—41no—
530C22⋊Dic59—41no—
531C22⋊Dic59—41no—
532C22⋊Dic59—41no—
533C22⋊Dic59—41no—
534C22⋊Dic59—41no—
535C22⋊Dic59C2×D414yes—
536C22⋊Dic59C2×D414yes—
537(C2×D59)⋊C4—22no—
538(C2×D59)⋊C4—22no—
539(C2×D59)⋊C4—22no—
540(C2×D59)⋊C4—22no—
541(C2×D59)⋊C4—22no—
542(C2×D59)⋊C4—22no—
543(C2×D59)⋊C4—22no—
544(C2×D59)⋊C4—22no—
545(C2×D59)⋊C4—22no—
546(C2×D59)⋊C4—22no—
547(C2×D59)⋊C4—22no—
548(C2×D59)⋊C4—22no—
549(C2×D59)⋊C4—22no—
550(C2×D59)⋊C4—41no—
551(C2×D59)⋊C4—41no—
552(C2×D59)⋊C4—41no—
553(C2×D59)⋊C4—41no—
554(C2×D59)⋊C4—41no—
555(C2×D59)⋊C4—41no—
556(C2×D59)⋊C4—41no—
557(C2×D59)⋊C4—41no—
558(C2×D59)⋊C4—41no—
559(C2×D59)⋊C4—41no—
560(C2×D59)⋊C4—41no—
561(C2×D59)⋊C4—41no—
562(C2×D59)⋊C4—41no—
563(C2×D59)⋊C4—41no—
564C4⋊Dic59—22no—
565C4⋊Dic59—22no—
566C4⋊Dic59—22no—
567C4⋊Dic59—22no—
568C4⋊Dic59—22no—
569C4⋊Dic59—22no—
570C4⋊Dic59—22no—
571C4⋊Dic59—41no—
572C4⋊Dic59—41no—
573C4⋊Dic59C2×D414yes—
574Dic59⋊C4—22no—
575Dic59⋊C4—22no—
576Dic59⋊C4—22no—
577Dic59⋊C4—22no—
578Dic59⋊C4—22no—
579Dic59⋊C4—22no—
580Dic59⋊C4—22no—
581Dic59⋊C4—22no—
582Dic59⋊C4—41no—
583Dic59⋊C4—41no—
584Dic59⋊C4—41no—
585Dic59⋊C4—41no—
586Dic59⋊C4—41no—
587Dic59⋊C4—41no—
588Dic59⋊C4—41no—
589Dic59⋊C4—41no—
590Dic59⋊C4—41no—
591C4×Dic59—22no—
592C4×Dic59—22no—
593C4×Dic59—22no—
594C4×Dic59—41no—
595C4×Dic59—41no—
596C4×Dic59C2×D414yes—
597C23×C59—21no—
598C23×C59—21no—
599C23×C59—21no—
600C23×C59—21no—
601C23×C59—21no—
602C23×C59—21no—
603C23×C59—21no—
604C23×C59—21no—
605C23×C59—21no—
606C23×C59—21no—
607C23×C59—21no—
608C23×C59—21no—
609C23×C59—21no—
610C23×C59—21no—
611C23×C59—21no—
612C23×C59—21no—
613C23×C59—21no—
614C23×C59—21no—
615C23×C59—21no—
616C23×C59C22×D412yes—
617C23×C59C22×D412yes—
618C23×C59C2511yescharacteristic
619C22×D59—21no—
620C22×D59—21no—
621C22×D59—21no—
622C22×D59—21no—
623C22×D59—21no—
624C22×D59—21no—
625C22×D59—21no—
626C22×D59—21no—
627C22×D59—21no—
628C22×D59—21no—
629C22×D59—21no—
630C22×D59—21no—
631C22×D59—21no—
632C22×D59—21no—
633C22×D59—21no—
634C22×D59—21no—
635C22×D59—21no—
636C22×D59—21no—
637C22×D59—21no—
638C22×D59—44no—
639C22×D59—44no—
640C22×D59—44no—
641C22×D59—44no—
642C22×D59—44no—
643C22×D59—44no—
644C22×D59—44no—
645C22×D59H(5,𝔽2)12yes—
646C22×D592−1+412yes—
647Q8×C59—44no—
648D4×C59—44no—
649D4×C59—44no—
650D4×C59—44no—
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—21no—
666C2×C4×C59—21no—
667C2×C4×C59—21no—
668C2×C4×C59—21no—
669C2×C4×C59—21no—
670C2×C4×C59—21no—
671C2×C4×C59—21no—
672C2×C4×C59—21no—
673C2×C4×C59—21no—
674C2×C4×C59—21no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—21no—
679C2×C4×C59—21no—
680C2×C4×C59—21no—
681C2×C4×C59—21no—
682C2×C4×C59—21no—
683C2×C4×C59—21no—
684C2×C4×C59—21no—
685C2×C4×C59—44no—
686C2×C4×C59—82no—
687C2×C4×C59C22×D412yes—
688C2×C4×C59H(5,𝔽2)12yes—
689C22⋊D59—44no—
690C22⋊D59—44no—
691C22⋊D59—44no—
692C22⋊D59—44no—
693C22⋊D59—82no—
694C22⋊D59—82no—
695C22⋊D59—82no—
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—21no—
721C2×Dic59—21no—
722C2×Dic59—21no—
723C2×Dic59—21no—
724C2×Dic59—21no—
725C2×Dic59—21no—
726C2×Dic59—21no—
727C2×Dic59—21no—
728C2×Dic59—21no—
729C2×Dic59—21no—
730C2×Dic59—21no—
731C2×Dic59—44no—
732C2×Dic59—44no—
733C2×Dic59—44no—
734C2×Dic59—82no—
735C2×Dic59C22×D412yes—
736C2×Dic59C22×D412yes—
737C2×Dic59C22×D412yes—
738C2×Dic59C22×D412yes—
739D236—82no—
740D236—82no—
741C4×D59—28no—
742C4×D59—44no—
743C4×D59—44no—
744C4×D59—44no—
745C4×D59—44no—
746Dic118—44no—
747Dic118—82no—
748Dic118—82no—
749#36712—591nomaximal, Sylow
750C22×C59—22no—
751C22×C59—22no—
752C22×C59—22no—
753C22×C59—22no—
754C22×C59—22no—
755C22×C59—22no—
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—41no—
766C22×C59—41no—
767C22×C59—41no—
768C22×C59—41no—
769C22×C59—41no—
770C22×C59—41no—
771C22×C59C23×D411yescharacteristic
772C22×C59C2×H(5,𝔽2)11yescharacteristic
773C22×C59C2×H(5,𝔽2)11yescharacteristic
774C22×C59C2×2−1+411yescharacteristic
775C22×C59#58511yescharacteristic
776C22×C59#58511yescharacteristic
777C22×C59#58511yescharacteristic
778C2×D59—22no—
779C2×D59—22no—
780C2×D59—22no—
781C2×D59—22no—
782C2×D59—22no—
783C2×D59—22no—
784C2×D59—416no—
785C2×D59—41no—
786C2×D59—41no—
787C2×D59—41no—
788C2×D59—41no—
789C2×D59—41no—
790C2×D59—41no—
791C2×D59—41no—
792C2×D59—41no—
793C2×D59—41no—
794C2×D59—41no—
795C2×D59—41no—
796C2×D59—41no—
797C2×D59—41no—
798C2×D59—41no—
799C2×D59—41no—
800C4×C59—22no—
801C4×C59—22no—
802C4×C59—41no—
803C4×C59—41no—
804C4×C59—41no—
805C4×C59—41no—
806C4×C59—41no—
807C4×C59—41no—
808C4×C59—41no—
809C4×C59—41no—
810C4×C59—41no—
811C4×C59—41no—
812Dic59—22no—
813Dic59—22no—
814Dic59—22no—
815Dic59—22no—
816Dic59—41no—
817Dic59—41no—
818Dic59—41no—
819Dic59—41no—
820Dic59—41no—
821Dic59—41no—
822Dic59—41no—
823Dic59—41no—
824Dic59—41no—
825C2×#542—591no—
826C2×#525—591no—
827#2849—591no—
828#2848—591no—
829#2696—591no—
830#2695—591no—
831#2692—591no—
832#2691—591no—
833#2689—591no—
834#2686D5911yescharacteristic, complemented
835#2685—591no—
836#2684—591no—
837#2677—591no—
838#2676—591no—
839#2674—591no—
840#2674—591no—
841#2672—591no—
842#2671—591no—
843#2670—591no—
844#2668—591no—
845#2638—591no—
846#2630—591no—
847#2609—591no—
848#2602—591no—
849#2599—591no—
850#2598—591no—
851#2580—591no—
852#2564—591no—
853#2432—591no—
854#2430—591no—
855#2318—591no—
856C2×C59—42no—
857C2×C59—42no—
858C2×C59—81no—
859C2×C59#344911yescharacteristic
860C2×C59#348411yescharacteristic
861C2×C59#348911yescharacteristic
862C2×C59#353311yescharacteristic
863C2×C59#353511yescharacteristic
864C2×C59#354011yescharacteristic
865C2×C59#354111yescharacteristic
866D59—42no—
867D59—42no—
868D59—81no—
869C22×#41—591no—
870C24×C4—591no—
871#542—1188no—
872C2×C4⋊Q8—591no—
873C2×C4⋊Q8—591no—
874C2×#126—591no—
875C2×#126—591no—
876C2×#124—591no—
877C2×#124—591no—
878C2×#124—591no—
879C2×#124C2×D5911yescharacteristic
880#525—1188no—
881C2×#123—591no—
882C2×#123—591no—
883C2×#123—591no—
884C2×#123—591no—
885C2×#123—591no—
886C2×C22⋊Q8—591no—
887C2×C22⋊Q8—591no—
888C2×C22⋊Q8—591no—
889C2×C22⋊Q8—591no—
890C2×C22⋊Q8—591no—
891C2×C22⋊Q8—591no—
892C2×C22⋊Q8—591no—
893C2×#121—591no—
894C2×#121—591no—
895C2×#121—591no—
896C2×#121—591no—
897C2×#121C2×D5911yescharacteristic
898C2×#120—591no—
899C2×#120—591no—
900C2×#120—591no—
901C2×C4×Q8—591no—
902C2×C4×D4—591no—
903C2×C4×D4—591no—
904C2×C4×D4—591no—
905C2×C4×D4—591no—
906C2×#117—591no—
907C2×#117—591no—
908#400—591no—
909#400—591no—
910#399—591no—
911#399—591no—
912#399—591no—
913#399—591no—
914#398—591no—
915#398—591no—
916#398—591no—
917#398—591no—
918#397—591no—
919#397—591no—
920#397—591no—
921#397—591no—
922#397—591no—
923#397C2×D5911yescharacteristic, complemented
924#396—591no—
925#396—591no—
926#396—591no—
927#396—591no—
928#395—591no—
929#395—591no—
930#395—591no—
931#395C2×D5911yescharacteristic, complemented
932#394—591no—
933#394—591no—
934#394—591no—
935#394—591no—
936#394—591no—
937#394—591no—
938#394—591no—
939#394—591no—
940#394—591no—
941#394—591no—
942#394—591no—
943#394C2×D5911yescharacteristic
944#394C2×D5911yescharacteristic
945#394C2×D5911yescharacteristic, complemented
946#393—591no—
947#393—591no—
948#393—591no—
949#393—591no—
950#393—591no—
951#393C2×D5911yescharacteristic, complemented
952#392—591no—
953#392—591no—
954#392—591no—
955#392—591no—
956#391—591no—
957#390—591no—
958#390—591no—
959#390—591no—
960#390—591no—
961#389—591no—
962#389—591no—
963#389—591no—
964#388—591no—
965#388—591no—
966#388—591no—
967#388—591no—
968#388—591no—
969#388—591no—
970#388—591no—
971#388—591no—
972#388—591no—
973#388C2×D5911yescharacteristic, complemented
974#387—591no—
975#387—591no—
976#387—591no—
977#387—591no—
978#387—591no—
979#387—591no—
980#387—591no—
981#387C2×D5911yescharacteristic, complemented
982#386—591no—
983#386—591no—
984#386—591no—
985#386—591no—
986#386—591no—
987#386—591no—
988#386—591no—
989#386—591no—
990#386—591no—
991#386—591no—
992#386—591no—
993#386—591no—
994#386C2×D5911yescharacteristic
995#386C2×D5911yescharacteristic, complemented
996#385—591no—
997#385—591no—
998#385—591no—
999#385—591no—
1000#385—591no—
1001#385—591no—
1002#385—591no—
1003#385—591no—
1004#385—591no—
1005#385—591no—
1006#385—591no—
1007#385—591no—
1008#385—591no—
1009#385—591no—
1010#385—591no—
1011#385C2×D5911yescharacteristic
1012#383—591no—
1013#382—591no—
1014#381—591no—
1015#381C2×D5911yescharacteristic
1016#380—591no—
1017#380—591no—
1018#380—591no—
1019#380—591no—
1020#380C2×D5911yescharacteristic, complemented
1021#379—591no—
1022#379—591no—
1023#379—591no—
1024C4×C22⋊C4—591no—
1025C2×#95—591no—
1026C59#3671211yescharacteristic, complemented, Sylow
1027C25—591no—
1028C2×#41—1184no—
1029C2×#41—2362no—
1030C2×#41—2362no—
1031C22×Q8—591no—
1032C22×Q8—591no—
1033C22×Q8—591no—
1034C22×Q8C22×D5911yescharacteristic
1035C22×D4—591no—
1036C22×D4—591no—
1037C22×D4—591no—
1038C22×D4—591no—
1039C22×D4—591no—
1040C22×D4—591no—
1041C22×D4—591no—
1042C22×D4—591no—
1043C22×D4—591no—
1044C22×D4C22×D5911yescharacteristic
1045C22×D4C22×D5911yescharacteristic
1046C22×D4C22×D5911yescharacteristic
1047C23×C4—591no—
1048C23×C4—591no—
1049C23×C4—591no—
1050C23×C4—591no—
1051C23×C4—591no—
1052C23×C4—591no—
1053C23×C4—591no—
1054C23×C4—591no—
1055C23×C4—591no—
1056C23×C4—1184no—
1057C23×C4—2362no—
1058C23×C4—2362no—
1059C23×C4C22×D5911yescharacteristic
1060C23×C4C22×D5911yescharacteristic
1061C4⋊Q8—1184no—
1062C4⋊Q8—2362no—
1063#126—1184no—
1064#126—1184no—
1065#124—24no—
1066#124—1184no—
1067#124—1184no—
1068#124—2362no—
1069#123—1184no—
1070#123—1184no—
1071#123—1184no—
1072#123—1184no—
1073#123—2362no—
1074C22⋊Q8—1184no—
1075C22⋊Q8—1184no—
1076C22⋊Q8—1184no—
1077C22⋊Q8—1184no—
1078C22⋊Q8—1184no—
1079C22⋊Q8—2362no—
1080C22⋊Q8—2362no—
1081#121—24no—
1082#121—1184no—
1083#121—1184no—
1084#121—2362no—
1085#121—2362no—
1086#120—1184no—
1087#120—1184no—
1088#120—2362no—
1089C4×Q8—1184no—
1090C4×D4—598no—
1091C4×D4—1184no—
1092C4×D4—1184no—
1093C4×D4—1184no—
1094#117—1184no—
1095#117—1184no—
1096C2×C4⋊C4—591no—
1097C2×C4⋊C4—591no—
1098C2×C4⋊C4—591no—
1099C2×C4⋊C4—591no—
1100C2×C4⋊C4—591no—
1101C2×C4⋊C4—591no—
1102C2×C4⋊C4—591no—
1103C2×C4⋊C4—591no—
1104C2×C4⋊C4—591no—
1105C2×C4⋊C4—591no—
1106C2×C4⋊C4—591no—
1107C2×C4⋊C4—591no—
1108C2×C4⋊C4—591no—
1109C2×C4⋊C4—591no—
1110C2×C4⋊C4—591no—
1111C2×C4⋊C4—591no—
1112C2×C4⋊C4—591no—
1113C2×C4⋊C4—591no—
1114C2×C4⋊C4—591no—
1115C2×C4⋊C4—591no—
1116C2×C4⋊C4—591no—
1117C2×C4⋊C4—591no—
1118C2×C4⋊C4—591no—
1119C2×C4⋊C4—591no—
1120C2×C4⋊C4—591no—
1121C2×C4⋊C4—591no—
1122C2×C4⋊C4—591no—
1123C2×C4⋊C4C22×D5911yescharacteristic
1124C2×C4⋊C4C22×D5911yescharacteristic
1125C2×C4⋊C4C22×D5911yescharacteristic
1126C2×C4⋊C4C22×D5911yescharacteristic
1127C2×C4⋊C4C22×D5911yescharacteristic
1128C2×C22⋊C4—591no—
1129C2×C22⋊C4—591no—
1130C2×C22⋊C4—591no—
1131C2×C22⋊C4—591no—
1132C2×C22⋊C4—591no—
1133C2×C22⋊C4—591no—
1134C2×C22⋊C4—591no—
1135C2×C22⋊C4—591no—
1136C2×C22⋊C4—591no—
1137C2×C22⋊C4—591no—
1138C2×C22⋊C4—591no—
1139C2×C22⋊C4—591no—
1140C2×C22⋊C4—591no—
1141C2×C22⋊C4—591no—
1142C2×C22⋊C4—591no—
1143C2×C22⋊C4—591no—
1144C2×C22⋊C4—591no—
1145C2×C22⋊C4—591no—
1146C2×C22⋊C4—591no—
1147C2×C22⋊C4—591no—
1148C2×C22⋊C4—591no—
1149C2×C22⋊C4—591no—
1150C2×C22⋊C4—591no—
1151C2×C22⋊C4—591no—
1152C2×C22⋊C4—591no—
1153C2×C22⋊C4—591no—
1154C2×C22⋊C4—591no—
1155C2×C22⋊C4—591no—
1156C2×C22⋊C4—591no—
1157C2×C22⋊C4—591no—
1158C2×C22⋊C4—591no—
1159C2×C22⋊C4—591no—
1160C2×C22⋊C4—591no—
1161C2×C22⋊C4—591no—
1162C2×C22⋊C4—591no—
1163C2×C22⋊C4—591no—
1164C2×C22⋊C4—591no—
1165C2×C22⋊C4—591no—
1166C2×C22⋊C4—591no—
1167C2×C22⋊C4C22×D5911yescharacteristic
1168C2×C22⋊C4C22×D5911yescharacteristic
1169C2×C22⋊C4C22×D5911yescharacteristic
1170C2×C22⋊C4C22×D5911yescharacteristic
1171C2×C22⋊C4C22×D5911yescharacteristic
1172C2×C22⋊C4C22×D5911yescharacteristic
1173C2×C22⋊C4C22×D5911yescharacteristic
1174C2×C22⋊C4C22×D5911yescharacteristic
1175C2×C22⋊C4C22×D5911yescharacteristic
1176C2×C22⋊C4C22×D5911yescharacteristic
1177C2×C22⋊C4C22×D5911yescharacteristic
1178C2×C22⋊C4C22×D5911yescharacteristic
1179C2×C22⋊C4C22×D5911yescharacteristic
1180C2×C42—591no—
1181C2×C42—591no—
1182C2×C42—591no—
1183C2×C42—591no—
1184C2×C42—591no—
1185C2×C42—591no—
1186C2×C42C22×D5911yescharacteristic
1187#95—591no—
1188#95—591no—
1189#95—591no—
1190#95—591no—
1191#95—591no—
1192#95—591no—
1193#95—591no—
1194#95—591no—
1195#95—591no—
1196#95—591no—
1197#95—591no—
1198#95—591no—
1199#95—591no—
1200#95—591no—
1201#95—591no—
1202#95—591no—
1203#95—591no—
1204#95—591no—
1205#95—591no—
1206#95—591no—
1207#95—591no—
1208#95—591no—
1209#95—591no—
1210#95—591no—
1211#95—591no—
1212#95—591no—
1213#95C22×D5911yescharacteristic
1214#95C22×D5911yescharacteristic
1215#95C22×D5911yescharacteristic
1216#95C22×D5911yescharacteristic
1217#95C22×D5911yescharacteristic
1218#95C22×D5911yescharacteristic
1219#95C22×D5911yescharacteristic
1220#95C22×D5911yescharacteristic
1221#95C22×D5911yescharacteristic
1222#95C22×D5911yescharacteristic
1223C24—591no—
1224C24—591no—
1225C24—591no—
1226C24—1182no—
1227C24—1182no—
1228C24—1182no—
1229C24—2361no—
1230C24—2361no—
1231C24—2361no—
1232C24—2361no—
1233C24C23×D5911yescharacteristic
1234C24C23×D5911yescharacteristic
1235C24C23×D5911yescharacteristic
1236#41—23616no—
1237C2×Q8—22no—
1238C2×Q8—41no—
1239C2×Q8—41no—
1240C2×Q8—1182no—
1241C2×Q8—1182no—
1242C2×Q8—1182no—
1243C2×Q8—1182no—
1244C2×Q8—2361no—
1245C2×Q8—2361no—
1246C2×Q8—2361no—
1247C2×Q8—2361no—
1248C2×Q8—2361no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—1182no—
1258C2×D4—1182no—
1259C2×D4—1182no—
1260C2×D4—1182no—
1261C2×D4—1182no—
1262C2×D4—1182no—
1263C2×D4—1182no—
1264C2×D4—1182no—
1265C2×D4—1182no—
1266C2×D4—1182no—
1267C2×D4—1182no—
1268C2×D4—1182no—
1269C2×D4—2361no—
1270C2×D4—2361no—
1271C2×D4—2361no—
1272C2×D4—2361no—
1273C2×D4—2361no—
1274C2×D4—2361no—
1275C2×D4—2361no—
1276C2×D4—2361no—
1277C2×D4—2361no—
1278C2×D4—2361no—
1279C2×D4—2361no—
1280C2×D4—2361no—
1281C2×D4—2361no—
1282C2×D4—2361no—
1283C2×D4—2361no—
1284C2×D4D4×D5914yes—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—591no—
1292C22×C4—591no—
1293C22×C4—591no—
1294C22×C4—591no—
1295C22×C4—594no—
1296C22×C4—594no—
1297C22×C4—591no—
1298C22×C4—591no—
1299C22×C4—591no—
1300C22×C4—591no—
1301C22×C4—591no—
1302C22×C4—591no—
1303C22×C4—591no—
1304C22×C4—591no—
1305C22×C4—591no—
1306C22×C4—1182no—
1307C22×C4—1182no—
1308C22×C4—1182no—
1309C22×C4—1182no—
1310C22×C4—1182no—
1311C22×C4—1182no—
1312C22×C4—1182no—
1313C22×C4—1182no—
1314C22×C4—1182no—
1315C22×C4—1182no—
1316C22×C4—2361no—
1317C22×C4—2361no—
1318C22×C4—2361no—
1319C22×C4—2361no—
1320C22×C4—2361no—
1321C22×C4—2361no—
1322C22×C4—23616no—
1323C22×C4—2361no—
1324C22×C4—2361no—
1325C22×C4—2361no—
1326C22×C4—2361no—
1327C22×C4—2361no—
1328C22×C4—2361no—
1329C22×C4—2361no—
1330C22×C4—2361no—
1331C22×C4—2361no—
1332C22×C4C23×D5911yescharacteristic
1333C22×C4C23×D5911yescharacteristic
1334C22×C4C23×D5911yescharacteristic
1335C22×C4C23×D5911yescharacteristic
1336C22×C4C23×D5911yescharacteristic
1337C22×C4C23×D5911yescharacteristic
1338C22×C4C23×D5911yescharacteristic
1339C22×C4C23×D5911yescharacteristic
1340C22×C4C23×D5911yescharacteristic
1341C22×C4C23×D5911yescharacteristic
1342C22×C4C23×D5911yescharacteristic
1343C22×C4C23×D5911yescharacteristic
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—594no—
1350C4⋊C4—1182no—
1351C4⋊C4—1182no—
1352C4⋊C4—1182no—
1353C4⋊C4—1182no—
1354C4⋊C4—1182no—
1355C4⋊C4—1182no—
1356C4⋊C4—1182no—
1357C4⋊C4—1182no—
1358C4⋊C4—1182no—
1359C4⋊C4—1182no—
1360C4⋊C4—1182no—
1361C4⋊C4—1182no—
1362C4⋊C4—1182no—
1363C4⋊C4—1182no—
1364C4⋊C4—1182no—
1365C4⋊C4—2361no—
1366C4⋊C4—2361no—
1367C4⋊C4—2361no—
1368C4⋊C4—2361no—
1369C4⋊C4—2361no—
1370C4⋊C4—2361no—
1371C4⋊C4—2361no—
1372C4⋊C4—2361no—
1373C4⋊C4—2361no—
1374C4⋊C4—2361no—
1375C4⋊C4—2361no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—594no—
1390C22⋊C4—594no—
1391C22⋊C4—1182no—
1392C22⋊C4—1182no—
1393C22⋊C4—1182no—
1394C22⋊C4—1182no—
1395C22⋊C4—1182no—
1396C22⋊C4—1182no—
1397C22⋊C4—1182no—
1398C22⋊C4—1182no—
1399C22⋊C4—1182no—
1400C22⋊C4—1182no—
1401C22⋊C4—1182no—
1402C22⋊C4—1182no—
1403C22⋊C4—1182no—
1404C22⋊C4—1182no—
1405C22⋊C4—1182no—
1406C22⋊C4—1182no—
1407C22⋊C4—1182no—
1408C22⋊C4—2361no—
1409C22⋊C4—2361no—
1410C22⋊C4—2361no—
1411C22⋊C4—2361no—
1412C22⋊C4—2361no—
1413C22⋊C4—2361no—
1414C22⋊C4—2361no—
1415C22⋊C4—2361no—
1416C22⋊C4—2361no—
1417C22⋊C4—2361no—
1418C22⋊C4—2361no—
1419C22⋊C4—2361no—
1420C22⋊C4—2361no—
1421C22⋊C4—2361no—
1422C22⋊C4—2361no—
1423C22⋊C4—2361no—
1424C22⋊C4—2361no—
1425C22⋊C4—2361no—
1426C22⋊C4—2361no—
1427C22⋊C4—2361no—
1428C42—22no—
1429C42—594no—
1430C42—1182no—
1431C42—1182no—
1432C42—1182no—
1433C42—2361no—
1434C42—2361no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—592no—
1455C23—592no—
1456C23—1181no—
1457C23—1181no—
1458C23—1181no—
1459C23—1181no—
1460C23—1181no—
1461C23—1181no—
1462C23—1181no—
1463C23—1181no—
1464C23—1181no—
1465C23—1181no—
1466C23—1181no—
1467C23—1181no—
1468C23—1181no—
1469C23—1181no—
1470C23—1181no—
1471C23—1181no—
1472C23—1181no—
1473C23—1181no—
1474C23—1181no—
1475C23—2364no—
1476C23—2364no—
1477C23—2364no—
1478C23—2364no—
1479C23—2364no—
1480C23—2364no—
1481C23—2364no—
1482C23C2×D4×D5912yes—
1483C23C2×D4×D5912yes—
1484C23C24×D5911yescharacteristic
1485Q8—44no—
1486Q8—4722no—
1487Q8—4722no—
1488Q8—2364no—
1489D4—44no—
1490D4—44no—
1491D4—44no—
1492D4—4722no—
1493D4—4722no—
1494D4—4722no—
1495D4—4722no—
1496D4—4722no—
1497D4—2364no—
1498D4—2364no—
1499D4—2364no—
1500D4—2364no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—44no—
1536C2×C4—82no—
1537C2×C4—592no—
1538C2×C4—592no—
1539C2×C4—592no—
1540C2×C4—592no—
1541C2×C4—1188no—
1542C2×C4—1181no—
1543C2×C4—1181no—
1544C2×C4—1181no—
1545C2×C4—1181no—
1546C2×C4—1181no—
1547C2×C4—1181no—
1548C2×C4—1181no—
1549C2×C4—1181no—
1550C2×C4—1181no—
1551C2×C4—1181no—
1552C2×C4—1181no—
1553C2×C4—1181no—
1554C2×C4—1181no—
1555C2×C4—1181no—
1556C2×C4—1181no—
1557C2×C4—1181no—
1558C2×C4—1181no—
1559C2×C4—1181no—
1560C2×C4—1181no—
1561C2×C4—1181no—
1562C2×C4—1181no—
1563C2×C4—1181no—
1564C2×C4—1181no—
1565C2×C4—1181no—
1566C2×C4—1181no—
1567C2×C4—1181no—
1568C2×C4—1181no—
1569C2×C4—1181no—
1570C2×C4—1181no—
1571C2×C4—1181no—
1572C2×C4—1181no—
1573C2×C4—1181no—
1574C2×C4—1181no—
1575C2×C4—1181no—
1576C2×C4—1181no—
1577C2×C4—4722no—
1578C2×C4—2364no—
1579C2×C4—2364no—
1580C2×C4—2364no—
1581C2×C4—2364no—
1582C2×C4—2364no—
1583C2×C4—2364no—
1584C2×C4—2364no—
1585C2×C4C2×D4×D5912yes—
1586C2×C4#1427377312yes—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—1182no—
1609C22—1182no—
1610C22—1182no—
1611C22—1182no—
1612C22—1182no—
1613C22—1182no—
1614C22—23616no—
1615C22—2361no—
1616C22—2361no—
1617C22—2361no—
1618C22—2361no—
1619C22—2361no—
1620C22—2361no—
1621C22—2361no—
1622C22—2361no—
1623C22—2361no—
1624C22—2361no—
1625C22—2361no—
1626C22—2361no—
1627C22—2361no—
1628C22—2361no—
1629C22—2361no—
1630C22C22×D4×D5911yescharacteristic
1631C22H(5,𝔽2)×D5911yescharacteristic
1632C22C2×#1427377311yescharacteristic
1633C222−1+4×D5911yescharacteristic
1634C22#1683823711yescharacteristic
1635C22#1683823711yescharacteristic
1636C22#1683823811yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—1182no—
1650C4—1182no—
1651C4—1182no—
1652C4—1182no—
1653C4—2361no—
1654C4—2361no—
1655C4—2361no—
1656C4—2361no—
1657C4—2361no—
1658C4—2361no—
1659C4—2361no—
1660C4—2361no—
1661C4—2361no—
1662C2—42no—
1663C2—42no—
1664C2—81no—
1665C2—4721no—
1666C2—2362no—
1667C2—2362no—
1668C2#2143742211yescharacteristic
1669C2#2143772611yescharacteristic
1670C2#2143777011yescharacteristic
1671C2#2143826311yescharacteristic
1672C2#2143829611yescharacteristic
1673C2#2143836611yescharacteristic
1674C2#2143838511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2686C2
hypercenter#2686D59
hypocenterC59#36712
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2686

Complements

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

NH ≅ G/Ntype
1. C2×#16838021C2semidirect
2. C2×#16837912C2semidirect
3. #21432389C2semidirect
4. #21432382C2semidirect
5. #21430651C2semidirect
6. #21430624C2semidirect
7. #21430599C2semidirect
8. #21430572C2semidirect
9. #21430547C2semidirect
10. #21430489C2semidirect
11. #21430472C2semidirect
12. #21430409C2semidirect
13. #21430399C2semidirect
14. #21430381C2semidirect
15. #21430374C2semidirect
16. #21430348C2semidirect
17. #21430328C2semidirect
18. #21430324C2semidirect
19. #21430302C2semidirect
20. #21430012C2semidirect
21. #21429934C2semidirect
22. #21429775C2semidirect
23. #21429703C2semidirect
24. #21429668C2semidirect
25. #21429660C2semidirect
26. #21429449C2semidirect
27. #21429274C2semidirect
28. #21427719C2semidirect
29. #21427704C2semidirect
30. #21426722C2semidirect
31. C59×#2686C2semidirect
35. C2×#14273727C22semidirect
36. C2×#14273726C22semidirect
38. C2×#14273720C22semidirect
41. C2×#14273713C22semidirect
44. C2×#14273711C22semidirect
53. C2×#14273704C22semidirect
54. C2×#14273703C22semidirect
56. C2×#14273699C22semidirect
62. C2×Q8×Dic59C22semidirect
68. C2×#14273684C22semidirect
69. #16837343C22semidirect
70. #16837343C22semidirect
72. #16837338C22semidirect
74. #16837337C22semidirect
75. #16837336C22semidirect
76. #16837335C22semidirect
77. #16837334C22semidirect
78. #16837332C22semidirect
81. #16837330C22semidirect
85. #16837325C22semidirect
86. #16837324C22semidirect
87. #16837324C22semidirect
88. #16837323C22semidirect
89. #16837323C22semidirect
90. #16837322C22semidirect
98. #16837317C22semidirect
99. #16837317C22semidirect
101. #16837316C22semidirect
103. #16837315C22semidirect
104. #16837314C22semidirect
111. #16837306C22semidirect
116. #16837299C22semidirect
117. #16837299C22semidirect
118. #16837299C22semidirect
125. #16837291C22semidirect
126. #16837291C22semidirect
128. #16837289C22semidirect
129. #16837289C22semidirect
130. #16837288C22semidirect
131. #16837288C22semidirect
132. #16837287C22semidirect
133. #16837285C22semidirect
134. #16837284C22semidirect
145. #16837279C22semidirect
146. #16837278C22semidirect
147. #16837277C22semidirect
148. #16837277C22semidirect
156. #16837275C22semidirect
157. #16837274C22semidirect
158. #16837274C22semidirect
161. #16837273C22semidirect
162. #16837269C22semidirect
163. #16837266C22semidirect
168. #16837260C22semidirect
172. C22⋊C4×Dic59C22semidirect
173. C2×C59⋊#95C22semidirect
176. C59×#397C22semidirect
177. C59×#395C22semidirect
180. C59×#394C22semidirect
181. C59×#393C22semidirect
182. C59×#388C22semidirect
183. C59×#387C22semidirect
185. C59×#386C22semidirect
188. C59×#380C22semidirect
245. D4×Dic59D4semidirect
834. #2686D59semidirect
923. #397C2×D59semidirect
931. #395C2×D59semidirect
945. #394C2×D59semidirect
951. #393C2×D59semidirect
973. #388C2×D59semidirect
981. #387C2×D59semidirect
995. #386C2×D59semidirect
1020. #380C2×D59semidirect
1026. C59#36712semidirect

Maximal subgroups

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

subgroupindex
C2×#168380212
C2×#168379122
#214323892
#214323822
#214306512
#214306242
#214305992
#214305722
#214305472
#214304892
#214304722
#214304092
#214303992
#214303812
#214303742
#214303482
#214303282
#214303242
#214303022
#214300122
#214299342
#214297752
#214297032
#214296682
#214296602
#214294492
#214292742
#214277192
#214277042
#214267222
C59×#26862
#3671259