Finite Group Databasebeta

← #28796221

Subgroups — #28796221

Order 15104.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16838020C211yesmaximal, characteristic, complemented
2C2×#16837990C211yesmaximal, characteristic, complemented
3#21432426C211yesmaximal, characteristic, complemented
4#21432394C211yesmaximal, characteristic, complemented
5#21431021C211yesmaximal, characteristic, complemented
6#21430928C211yesmaximal, characteristic, complemented
7#21430914C211yesmaximal, characteristic, complemented
8#21430869C211yesmaximal, characteristic, complemented
9#21430698C211yesmaximal, characteristic, complemented
10#21430674C211yesmaximal, characteristic, complemented
11#21430652C211yesmaximal, characteristic, complemented
12#21430583C211yesmaximal, characteristic, complemented
13#21430536C211yesmaximal, characteristic, complemented
14#21430506C211yesmaximal, characteristic, complemented
15#21430487C211yesmaximal, characteristic, complemented
16#21430476C211yesmaximal, characteristic, complemented
17#21430404C211yesmaximal, characteristic, complemented
18#21430384C211yesmaximal, characteristic, complemented
19#21430318C211yesmaximal, characteristic, complemented
20#21430300C211yesmaximal, characteristic, complemented
21#21430248C211yesmaximal, characteristic, complemented
22#21430226C211yesmaximal, characteristic, complemented
23#21429780C211yesmaximal, characteristic, complemented
24#21429732C211yesmaximal, characteristic, complemented
25#21429710C211yesmaximal, characteristic, complemented
26#21429690C211yesmaximal, characteristic, complemented
27#21429582C211yesmaximal, characteristic, complemented
28#21429254C211yesmaximal, characteristic, complemented
29#21427519C211yesmaximal, characteristic, complemented
30#21426533C211yesmaximal, characteristic, complemented
31C59×#2411C211yesmaximal, characteristic, complemented
32#16838020—28no—
33#16837990—28no—
34C2×#14273726C2211yescharacteristic, complemented
35C2×#14273722C2211yescharacteristic, complemented
36C2×#14273720C2211yescharacteristic
37C2×#14273720C2211yescharacteristic
38C2×#14273720C2211yescharacteristic
39C2×#14273714C2211yescharacteristic
40C2×#14273713C2211yescharacteristic
41C2×#14273713C2211yescharacteristic
42C2×#14273713C2211yescharacteristic
43C2×#14273713C2211yescharacteristic
44C2×#14273713C2211yescharacteristic, complemented
45C2×#14273709C2211yescharacteristic
46C2×#14273709C2211yescharacteristic
47C2×#14273709C2211yescharacteristic, complemented
48C2×#14273707C2211yescharacteristic, complemented
49C2×#14273706C2211yescharacteristic
50C2×#14273706C2211yescharacteristic
51C2×#14273705C2211yescharacteristic, complemented
52C2×#14273704C2211yescharacteristic, complemented
53C2×#14273701C2211yescharacteristic
54C2×#14273700C2211yescharacteristic
55C2×#14273700C2211yescharacteristic
56C2×#14273699C2211yescharacteristic
57C2×#14273698C2211yescharacteristic
58C2×#14273696C2211yescharacteristic
59C2×#14273696C2211yescharacteristic
60C2×#14273692C2211yescharacteristic, complemented
61C2×C4×C22⋊D59C2211yescharacteristic
62C2×C4×C22⋊D59C2211yescharacteristic
63C2×#14273683C2211yescharacteristic, complemented
64C2×C42×D59C2211yescharacteristic, complemented
65#16837344C2211yescharacteristic, complemented
66#16837344C2211yescharacteristic, complemented
67#16837338C2211yescharacteristic
68#16837338C2211yescharacteristic
69#16837335C2211yescharacteristic, complemented
70#16837333C2211yescharacteristic, complemented
71#16837331C2211yescharacteristic, complemented
72#16837331C2211yescharacteristic, complemented
73#16837330C2211yescharacteristic
74#16837330C2211yescharacteristic
75#16837330C2211yescharacteristic, complemented
76#16837329C2211yescharacteristic, complemented
77#16837327C2211yescharacteristic
78#16837327C2211yescharacteristic
79#16837327C2211yescharacteristic
80#16837327C2211yescharacteristic
81#16837325C2211yescharacteristic
82#16837325C2211yescharacteristic, complemented
83#16837323C2211yescharacteristic, complemented
84#16837323C2211yescharacteristic, complemented
85#16837322C2211yescharacteristic, complemented
86#16837319C2211yescharacteristic, complemented
87#16837318C2211yescharacteristic
88#16837318C2211yescharacteristic
89#16837318C2211yescharacteristic
90#16837318C2211yescharacteristic
91#16837317C2211yescharacteristic
92#16837317C2211yescharacteristic
93#16837317C2211yescharacteristic
94#16837317C2211yescharacteristic
95#16837316C2211yescharacteristic
96#16837316C2211yescharacteristic
97#16837315C2211yescharacteristic, complemented
98#16837314C2211yescharacteristic
99#16837314C2211yescharacteristic
100#16837314C2211yescharacteristic
101#16837314C2211yescharacteristic
102#16837314C2211yescharacteristic
103#16837314C2211yescharacteristic, complemented
104#16837311C2211yescharacteristic, complemented
105#16837310C2211yescharacteristic
106#16837310C2211yescharacteristic
107#16837310C2211yescharacteristic
108#16837310C2211yescharacteristic
109#16837307C2211yescharacteristic, complemented
110#16837306C2211yescharacteristic, complemented
111#16837306C2211yescharacteristic, complemented
112#16837306C2211yescharacteristic, complemented
113#16837305C2211yescharacteristic
114#16837302C2211yescharacteristic
115#16837302C2211yescharacteristic
116#16837302C2211yescharacteristic
117#16837302C2211yescharacteristic, complemented
118#16837301C2211yescharacteristic, complemented
119#16837301C2211yescharacteristic, complemented
120#16837300C2211yescharacteristic, complemented
121#16837300C2211yescharacteristic, complemented
122#16837297C2211yescharacteristic, complemented
123#16837296C2211yescharacteristic
124#16837296C2211yescharacteristic
125#16837296C2211yescharacteristic
126#16837296C2211yescharacteristic
127#16837296C2211yescharacteristic
128#16837296C2211yescharacteristic
129#16837296C2211yescharacteristic, complemented
130#16837295C2211yescharacteristic
131#16837295C2211yescharacteristic
132#16837295C2211yescharacteristic
133#16837295C2211yescharacteristic, complemented
134#16837293C2211yescharacteristic, complemented
135#16837293C2211yescharacteristic, complemented
136#16837292C2211yescharacteristic, complemented
137#16837292C2211yescharacteristic, complemented
138#16837290C2211yescharacteristic
139#16837290C2211yescharacteristic
140#16837290C2211yescharacteristic, complemented
141#16837288C2211yescharacteristic, complemented
142#16837285C2211yescharacteristic, complemented
143#16837284C2211yescharacteristic, complemented
144#16837283C2211yescharacteristic, complemented
145#16837283C2211yescharacteristic, complemented
146#16837283C2211yescharacteristic, complemented
147#16837282C2211yescharacteristic
148#16837282C2211yescharacteristic
149#16837280C2211yescharacteristic, complemented
150#16837280C2211yescharacteristic, complemented
151#16837279C2211yescharacteristic, complemented
152#16837278C2211yescharacteristic
153#16837278C2211yescharacteristic
154#16837278C2211yescharacteristic
155#16837278C2211yescharacteristic
156#16837278C2211yescharacteristic
157#16837278C2211yescharacteristic, complemented
158#16837278C2211yescharacteristic, complemented
159#16837277C2211yescharacteristic, complemented
160#16837273C2211yescharacteristic, complemented
161#16837273C2211yescharacteristic, complemented
162#16837273C2211yescharacteristic, complemented
163#16837266C2211yescharacteristic, complemented
164#16837265C2211yescharacteristic
165#16837265C2211yescharacteristic
166#16837259C2211yescharacteristic, complemented
167#16837259C2211yescharacteristic, complemented
168#16837258C2211yescharacteristic
169#16837258C2211yescharacteristic
170C4×Dic59⋊C4C2211yescharacteristic, complemented
171C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
172C4×C22⋊Dic59C2211yescharacteristic
173#16837248C2211yescharacteristic, complemented
174C2×#123×C59C2211yescharacteristic
175C2×#120×C59C2211yescharacteristic
176C2×#117×C59C2211yescharacteristic
177C22×C22⋊C4×C59C2211yescharacteristic
178C59×#396C2211yescharacteristic
179C59×#396C2211yescharacteristic
180C59×#394C2211yescharacteristic
181C59×#394C2211yescharacteristic
182C59×#390C2211yescharacteristic
183C59×#390C2211yescharacteristic
184C59×#388C2211yescharacteristic
185C59×#388C2211yescharacteristic
186C59×#386C2211yescharacteristic
187C59×#385C2211yescharacteristic
188C59×#379C2211yescharacteristic
189C22×Dic118C2311yescharacteristic
190C22×Dic118C2311yescharacteristic
191C22×Dic118C2311yescharacteristic
192C22×Dic118C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C23×Dic59C2311yescharacteristic
203C22×C4×D59C2311yescharacteristic
204C22×C4×D59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207#14273726—24no—
208#14273722—24no—
209#14273720—24no—
210#14273720—24no—
211#14273720—24no—
212#14273714—24no—
213#14273713—24no—
214#14273713—24no—
215#14273713—24no—
216#14273713—24no—
217#14273713—42no—
218#14273709—24no—
219#14273709—24no—
220#14273709—24no—
221#14273707—42no—
222#14273706—24no—
223#14273706—24no—
224#14273705—24no—
225#14273704—24no—
226#14273701—24no—
227#14273700—24no—
228#14273700—24no—
229#14273699—24no—
230#14273698—42no—
231#14273696—24no—
232#14273696—24no—
233#14273692—24no—
234C4×C22⋊D59—24no—
235C4×C22⋊D59D418yescomplemented
236#14273683—24no—
237C2×C4⋊Dic59C2311yescharacteristic
238C2×C4⋊Dic59C2311yescharacteristic
239C2×C4⋊Dic59C2311yescharacteristic
240C2×C4⋊Dic59C2311yescharacteristic
241C2×C4⋊Dic59C2311yescharacteristic
242C2×C4⋊Dic59C2311yescharacteristic
243C2×C4⋊Dic59C2311yescharacteristic
244C2×C4⋊Dic59C2311yescharacteristic
245C2×Dic59⋊C4C2311yescharacteristic
246C2×Dic59⋊C4C2311yescharacteristic
247C2×Dic59⋊C4C2311yescharacteristic
248C2×Dic59⋊C4C2311yescharacteristic
249C2×Dic59⋊C4C2311yescharacteristic
250C2×Dic59⋊C4C2311yescharacteristic
251C2×Dic59⋊C4C2311yescharacteristic
252C2×Dic59⋊C4C2311yescharacteristic
253C2×Dic59⋊C4C2311yescharacteristic
254C2×Dic59⋊C4C2311yescharacteristic
255C2×Dic59⋊C4C2311yescharacteristic
256C2×Dic59⋊C4C2311yescharacteristic
257C2×Dic59⋊C4C2311yescharacteristic
258C2×Dic59⋊C4C2311yescharacteristic
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×C22⋊Dic59C2311yescharacteristic
277C2×C22⋊Dic59C2311yescharacteristic
278C2×C22⋊Dic59C2311yescharacteristic
279C2×C22⋊Dic59C2311yescharacteristic
280C2×C22⋊Dic59C2311yescharacteristic
281C2×C22⋊Dic59C2311yescharacteristic
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×(C2×D59)⋊C4C2311yescharacteristic
284C2×(C2×D59)⋊C4C2311yescharacteristic
285C2×(C2×D59)⋊C4C2311yescharacteristic
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C2×(C2×D59)⋊C4C2311yescharacteristic
288C2×(C2×D59)⋊C4C2311yescharacteristic
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×C4×Dic59C2311yescharacteristic
299C2×C4×Dic59C2311yescharacteristic
300C2×C4×Dic59C2311yescharacteristic
301C2×C4×Dic59C2311yescharacteristic
302C2×C4×Dic59C2311yescharacteristic
303C2×C4×Dic59C2311yescharacteristic
304C2×C4×Dic59C2311yescharacteristic
305C2×C4×Dic59C2311yescharacteristic
306C2×C4×Dic59C2311yescharacteristic
307C42×D59—42no—
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
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C59⋊#95C2311yescharacteristic
339C59⋊#95C2311yescharacteristic
340C25×C59C2311yescharacteristic
341C22×D4×C59C2311yescharacteristic
342C22×D4×C59C2311yescharacteristic
343C22×D4×C59C2311yescharacteristic
344C23×C4×C59C2311yescharacteristic
345C23×C4×C59C2311yescharacteristic
346#123×C59—24no—
347#120×C59—42no—
348#117×C59—42no—
349C2×C4⋊C4×C59C2311yescharacteristic
350C2×C4⋊C4×C59C2311yescharacteristic
351C2×C4⋊C4×C59C2311yescharacteristic
352C2×C4⋊C4×C59C2311yescharacteristic
353C2×C4⋊C4×C59C2311yescharacteristic
354C2×C4⋊C4×C59C2311yescharacteristic
355C2×C22⋊C4×C59—24no—
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
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×C42×C59C2311yescharacteristic
374C2×C42×C59C2311yescharacteristic
375#95×C59C2311yescharacteristic
376#95×C59C2311yescharacteristic
377#95×C59C2311yescharacteristic
378#95×C59C2311yescharacteristic
379C24×C59—22no—
380C24×C59—41no—
381C24×C59—41no—
382C24×C59—41no—
383C24×C59—41no—
384C24×C59—41no—
385C24×C59—41no—
386C24×C59C2411yescharacteristic
387C24×C59C2411yescharacteristic
388C24×C59C2411yescharacteristic
389C24×C59C2411yescharacteristic
390C23×D59C2411yescharacteristic
391C23×D59C2411yescharacteristic
392C2×D4×C59—22no—
393C2×D4×C59—22no—
394C2×D4×C59—41no—
395C2×D4×C59—41no—
396C2×D4×C59—41no—
397C2×D4×C59—41no—
398C2×D4×C59—41no—
399C2×D4×C59—41no—
400C2×D4×C59—41no—
401C22×C4×C59—22no—
402C22×C4×C59—41no—
403C22×C4×C59—41no—
404C22×C4×C59—41no—
405C22×C4×C59—41no—
406C22×C4×C59C2×D414yes—
407C22×C4×C59C2411yescharacteristic
408C22×C4×C59C2411yescharacteristic
409C22×C4×C59C2411yescharacteristic
410C22×C4×C59C2411yescharacteristic
411C22×C4×C59C2411yescharacteristic
412C22×C4×C59C2411yescharacteristic
413C22×C4×C59C2411yescharacteristic
414C22×C4×C59C2411yescharacteristic
415C22×C4×C59C2411yescharacteristic
416C22×C4×C59C2411yescharacteristic
417C22×C4×C59C2411yescharacteristic
418C2×C22⋊D59—22no—
419C2×C22⋊D59—22no—
420C2×C22⋊D59—22no—
421C2×C22⋊D59—22no—
422C2×C22⋊D59—22no—
423C2×C22⋊D59—22no—
424C2×C22⋊D59—41no—
425C2×C22⋊D59—41no—
426C2×C22⋊D59—41no—
427C2×C22⋊D59—41no—
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—
436C2×C22⋊D59—41no—
437C2×C22⋊D59—41no—
438C2×C22⋊D59—41no—
439C2×C22⋊D59—41no—
440C2×C22⋊D59—41no—
441C2×C22⋊D59C2×D414yes—
442C22×Dic59—22no—
443C22×Dic59—41no—
444C22×Dic59—41no—
445C22×Dic59C2411yescharacteristic
446C22×Dic59C2411yescharacteristic
447C22×Dic59C2411yescharacteristic
448C22×Dic59C2411yescharacteristic
449C22×Dic59C2411yescharacteristic
450C22×Dic59C2411yescharacteristic
451C22×Dic59C2411yescharacteristic
452C22×Dic59C2411yescharacteristic
453C22×Dic59C2411yescharacteristic
454C22×Dic59C2411yescharacteristic
455C22×Dic59C2411yescharacteristic
456C22×Dic59C2411yescharacteristic
457C22×Dic59C2411yescharacteristic
458C22×Dic59C2411yescharacteristic
459C2×D236—22no—
460C2×D236—41no—
461C2×D236—41no—
462C2×C4×D59—22no—
463C2×C4×D59—22no—
464C2×C4×D59—41no—
465C2×C4×D59—41no—
466C2×C4×D59—41no—
467C2×C4×D59—41no—
468C2×C4×D59—41no—
469C2×C4×D59—41no—
470C2×C4×D59—41no—
471C2×C4×D59—41no—
472C2×C4×D59—41no—
473C2×C4×D59C2×D414yes—
474C2×Dic118—22no—
475C2×Dic118—22no—
476C2×Dic118—22no—
477C2×Dic118—22no—
478C2×Dic118—41no—
479C2×Dic118—41no—
480C2×Dic118—41no—
481C2×Dic118—41no—
482C2×Dic118—41no—
483C2×Dic118—41no—
484C2×Dic118—41no—
485C2×Dic118—41no—
486C4⋊C4×C59—22no—
487C4⋊C4×C59—22no—
488C4⋊C4×C59—22no—
489C4⋊C4×C59—41no—
490C4⋊C4×C59—41no—
491C4⋊C4×C59—41no—
492C22⋊C4×C59—22no—
493C22⋊C4×C59—22no—
494C22⋊C4×C59—22no—
495C22⋊C4×C59—22no—
496C22⋊C4×C59—22no—
497C22⋊C4×C59—22no—
498C22⋊C4×C59—22no—
499C22⋊C4×C59—22no—
500C22⋊C4×C59—22no—
501C22⋊C4×C59—41no—
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—
509C42×C59—22no—
510C42×C59—41no—
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—41no—
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⋊Dic59C2×D414yes—
534(C2×D59)⋊C4—22no—
535(C2×D59)⋊C4—22no—
536(C2×D59)⋊C4—22no—
537(C2×D59)⋊C4—22no—
538(C2×D59)⋊C4—22no—
539(C2×D59)⋊C4—22no—
540(C2×D59)⋊C4—22no—
541(C2×D59)⋊C4—41no—
542(C2×D59)⋊C4—41no—
543(C2×D59)⋊C4—41no—
544(C2×D59)⋊C4—41no—
545(C2×D59)⋊C4—41no—
546(C2×D59)⋊C4—41no—
547(C2×D59)⋊C4—41no—
548(C2×D59)⋊C4—41no—
549(C2×D59)⋊C4C2×D414yes—
550C4⋊Dic59—22no—
551C4⋊Dic59—22no—
552C4⋊Dic59—22no—
553C4⋊Dic59—22no—
554C4⋊Dic59—22no—
555C4⋊Dic59—41no—
556C4⋊Dic59—41no—
557C4⋊Dic59—41no—
558Dic59⋊C4—22no—
559Dic59⋊C4—22no—
560Dic59⋊C4—22no—
561Dic59⋊C4—22no—
562Dic59⋊C4—22no—
563Dic59⋊C4—22no—
564Dic59⋊C4—22no—
565Dic59⋊C4—22no—
566Dic59⋊C4—41no—
567Dic59⋊C4—41no—
568Dic59⋊C4—41no—
569Dic59⋊C4—41no—
570Dic59⋊C4—41no—
571Dic59⋊C4C2×D414yes—
572C4×Dic59—22no—
573C4×Dic59—22no—
574C4×Dic59—22no—
575C4×Dic59—22no—
576C4×Dic59—22no—
577C4×Dic59—41no—
578C4×Dic59—41no—
579C4×Dic59—41no—
580C4×Dic59C2×D414yes—
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—21no—
603C23×C59—21no—
604C23×C59—21no—
605C23×C59—21no—
606C23×C59—21no—
607C23×C59—21no—
608C23×C59—44no—
609C23×C59—82no—
610C23×C59—82no—
611C23×C59—82no—
612C23×C59—82no—
613C23×C59—82no—
614C23×C59—82no—
615C23×C59C22×D412yes—
616C23×C59C2511yescharacteristic
617C22×D59—21no—
618C22×D59—21no—
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×D59C22×D412yes—
631D4×C59—82no—
632D4×C59—82no—
633D4×C59—82no—
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×C59C22×D412yes—
667C2×C4×C59C22×D412yes—
668C2×C4×C59H(5,𝔽2)12yes—
669C22⋊D59—44no—
670C22⋊D59—44no—
671C22⋊D59—82no—
672C22⋊D59—82no—
673C22⋊D59—82no—
674C22⋊D59—82no—
675C22⋊D59—82no—
676C22⋊D59—82no—
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×Dic59C22×D412yes—
718C2×Dic59C22×D412yes—
719C2×Dic59C22×D412yes—
720D236—82no—
721C4×D59—44no—
722C4×D59—44no—
723C4×D59—44no—
724C4×D59—82no—
725Dic118—44no—
726Dic118—82no—
727Dic118—82no—
728Dic118—82no—
729#36745—591nomaximal, Sylow
730C22×C59—22no—
731C22×C59—22no—
732C22×C59—22no—
733C22×C59—41no—
734C22×C59—41no—
735C22×C59—41no—
736C22×C59—41no—
737C22×C59—41no—
738C22×C59—41no—
739C22×C59—41no—
740C22×C59—41no—
741C22×C59—41no—
742C22×C59—41no—
743C22×C59—41no—
744C22×C59—41no—
745C22×C59—41no—
746C22×C59—41no—
747C22×C59—41no—
748C22×C59—41no—
749C22×C59—41no—
750C22×C59—41no—
751C22×C59—41no—
752C22×C59—41no—
753C22×C59—41no—
754C22×C59—41no—
755C22×C59—41no—
756C22×C59—41no—
757C22×C59—41no—
758C22×C59—88no—
759C22×C59C23×D411yescharacteristic
760C22×C59C2×H(5,𝔽2)11yescharacteristic
761C22×C59#58511yescharacteristic
762C22×C59#58511yescharacteristic
763C22×C59#58511yescharacteristic
764C22×C59#58511yescharacteristic
765C22×C59#58511yescharacteristic
766C2×D59—22no—
767C2×D59—22no—
768C2×D59—22no—
769C2×D59—41no—
770C2×D59—41no—
771C2×D59—41no—
772C2×D59—41no—
773C2×D59—41no—
774C2×D59—41no—
775C2×D59—41no—
776C2×D59—41no—
777C2×D59—41no—
778C2×D59—41no—
779C2×D59—41no—
780C4×C59—22no—
781C4×C59—22no—
782C4×C59—22no—
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—22no—
793Dic59—22no—
794Dic59—41no—
795Dic59—41no—
796Dic59—41no—
797Dic59—41no—
798Dic59—41no—
799Dic59—41no—
800Dic59—41no—
801Dic59—41no—
802Dic59—41no—
803Dic59—41no—
804Dic59—41no—
805C2×#542—591no—
806C2×#538—591no—
807#2854—591no—
808#2850—591no—
809#2723—591no—
810#2716—591no—
811#2715—591no—
812#2712—591no—
813#2700—591no—
814#2698—591no—
815#2696—591no—
816#2691—591no—
817#2688—591no—
818#2686—591no—
819#2685—591no—
820#2684—591no—
821#2676—591no—
822#2674—591no—
823#2670—591no—
824#2668—591no—
825#2663—591no—
826#2661—591no—
827#2610—591no—
828#2604—591no—
829#2602—591no—
830#2601—591no—
831#2592—591no—
832#2561—591no—
833#2415—591no—
834#2411D5911yescharacteristic, complemented
835#2290—591no—
836C2×C59—42no—
837C2×C59—81no—
838C2×C59—81no—
839C2×C59—81no—
840C2×C59#344911yescharacteristic
841C2×C59#349611yescharacteristic
842C2×C59#350011yescharacteristic
843C2×C59#353311yescharacteristic
844C2×C59#354011yescharacteristic
845C2×C59#356611yescharacteristic
846C2×C59#356811yescharacteristic
847D59—42no—
848D59—81no—
849#542—1188no—
850#538—1188no—
851C2×C4⋊Q8—591no—
852C2×#126—591no—
853C2×#126—591no—
854C2×#126—591no—
855C2×#126—591no—
856C2×#124—591no—
857C2×#124—591no—
858C2×#124—591no—
859C2×#124—591no—
860C2×#124—591no—
861C2×#124—591no—
862C2×#123—591no—
863C2×#123—591no—
864C2×#123—591no—
865C2×#123C2×D5911yescharacteristic
866C2×C22⋊Q8—591no—
867C2×C22⋊Q8—591no—
868C2×C22⋊Q8—591no—
869C2×C22⋊Q8—591no—
870C2×C22⋊Q8—591no—
871C2×#121—591no—
872C2×#121—591no—
873C2×#121—591no—
874C2×#121—591no—
875C2×#121—591no—
876C2×#120—591no—
877C2×#120—591no—
878C2×#120C2×D5911yescharacteristic
879C2×C4×Q8—591no—
880C2×C4×D4—591no—
881C2×C4×D4—591no—
882C2×#117—591no—
883C2×#117C2×D5911yescharacteristic
884C22×C22⋊C4C2×D5911yescharacteristic
885C22×C42—591no—
886#400—591no—
887#400—591no—
888#399—591no—
889#399—591no—
890#398—591no—
891#398—591no—
892#397—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#396C2×D5911yescharacteristic
905#396C2×D5911yescharacteristic
906#395—591no—
907#395—591no—
908#395—591no—
909#394—591no—
910#394—591no—
911#394—591no—
912#394—591no—
913#394—591no—
914#394—591no—
915#394—591no—
916#394—591no—
917#394—591no—
918#394—591no—
919#394—591no—
920#394C2×D5911yescharacteristic
921#394C2×D5911yescharacteristic
922#393—591no—
923#393—591no—
924#393—591no—
925#393—591no—
926#393—591no—
927#393—591no—
928#393—591no—
929#392—591no—
930#392—591no—
931#392—591no—
932#392—591no—
933#392—591no—
934#391—591no—
935#391—591no—
936#391—591no—
937#391—591no—
938#390—591no—
939#390—591no—
940#390—591no—
941#390—591no—
942#390—591no—
943#390C2×D5911yescharacteristic
944#390C2×D5911yescharacteristic
945#389—591no—
946#389—591no—
947#389—591no—
948#389—591no—
949#389—591no—
950#388—591no—
951#388—591no—
952#388—591no—
953#388—591no—
954#388—591no—
955#388—591no—
956#388—591no—
957#388—591no—
958#388—591no—
959#388—591no—
960#388—591no—
961#388—591no—
962#388—591no—
963#388—591no—
964#388—591no—
965#388—591no—
966#388—591no—
967#388—591no—
968#388C2×D5911yescharacteristic
969#388C2×D5911yescharacteristic
970#387—591no—
971#387—591no—
972#387—591no—
973#387—591no—
974#387—591no—
975#387—591no—
976#386—591no—
977#386—591no—
978#386—591no—
979#386—591no—
980#386—591no—
981#386—591no—
982#386—591no—
983#386—591no—
984#386—591no—
985#386—591no—
986#386—591no—
987#386—591no—
988#386C2×D5911yescharacteristic
989#385—591no—
990#385—591no—
991#385—591no—
992#385—591no—
993#385C2×D5911yescharacteristic
994#382—591no—
995#381—591no—
996#381—591no—
997#380—591no—
998#380—591no—
999#379—591no—
1000#379—591no—
1001#379C2×D5911yescharacteristic
1002C4×C4⋊C4—591no—
1003C4×C22⋊C4—591no—
1004C4×C22⋊C4—591no—
1005#376—591no—
1006C59#3674511yescharacteristic, complemented, Sylow
1007C25C22×D5911yescharacteristic
1008C22×Q8—591no—
1009C22×Q8—591no—
1010C22×Q8—591no—
1011C22×Q8—591no—
1012C22×D4—591no—
1013C22×D4—591no—
1014C22×D4—591no—
1015C22×D4—591no—
1016C22×D4—591no—
1017C22×D4—591no—
1018C22×D4—591no—
1019C22×D4—591no—
1020C22×D4—591no—
1021C22×D4C22×D5911yescharacteristic
1022C22×D4C22×D5911yescharacteristic
1023C22×D4C22×D5911yescharacteristic
1024C23×C4—591no—
1025C23×C4—591no—
1026C23×C4—591no—
1027C23×C4—591no—
1028C23×C4—591no—
1029C23×C4C22×D5911yescharacteristic
1030C23×C4C22×D5911yescharacteristic
1031C4⋊Q8—1184no—
1032#126—1184no—
1033#126—1184no—
1034#126—1184no—
1035#126—1184no—
1036#124—1184no—
1037#124—1184no—
1038#124—1184no—
1039#124—1184no—
1040#124—1184no—
1041#124—2362no—
1042#123—24no—
1043#123—1184no—
1044#123—1184no—
1045#123—1184no—
1046C22⋊Q8—1184no—
1047C22⋊Q8—1184no—
1048C22⋊Q8—1184no—
1049C22⋊Q8—1184no—
1050C22⋊Q8—2362no—
1051#121—1184no—
1052#121—1184no—
1053#121—1184no—
1054#121—1184no—
1055#121—2362no—
1056#120—42no—
1057#120—1184no—
1058#120—1184no—
1059C4×Q8—1184no—
1060C4×D4—598no—
1061C4×D4—1184no—
1062#117—42no—
1063#117—1184no—
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⋊C4—591no—
1081C2×C4⋊C4—591no—
1082C2×C4⋊C4—591no—
1083C2×C4⋊C4—591no—
1084C2×C4⋊C4—591no—
1085C2×C4⋊C4—591no—
1086C2×C4⋊C4C22×D5911yescharacteristic
1087C2×C4⋊C4C22×D5911yescharacteristic
1088C2×C4⋊C4C22×D5911yescharacteristic
1089C2×C4⋊C4C22×D5911yescharacteristic
1090C2×C4⋊C4C22×D5911yescharacteristic
1091C2×C4⋊C4C22×D5911yescharacteristic
1092C2×C22⋊C4—24no—
1093C2×C22⋊C4—591no—
1094C2×C22⋊C4—591no—
1095C2×C22⋊C4—591no—
1096C2×C22⋊C4—591no—
1097C2×C22⋊C4—591no—
1098C2×C22⋊C4—591no—
1099C2×C22⋊C4—591no—
1100C2×C22⋊C4—591no—
1101C2×C22⋊C4—591no—
1102C2×C22⋊C4—591no—
1103C2×C22⋊C4—591no—
1104C2×C22⋊C4—591no—
1105C2×C22⋊C4—591no—
1106C2×C22⋊C4—591no—
1107C2×C22⋊C4—591no—
1108C2×C22⋊C4—591no—
1109C2×C22⋊C4—591no—
1110C2×C22⋊C4—591no—
1111C2×C22⋊C4—591no—
1112C2×C22⋊C4—591no—
1113C2×C22⋊C4—591no—
1114C2×C22⋊C4—591no—
1115C2×C22⋊C4—591no—
1116C2×C22⋊C4—591no—
1117C2×C22⋊C4—591no—
1118C2×C22⋊C4—591no—
1119C2×C22⋊C4—591no—
1120C2×C22⋊C4—591no—
1121C2×C22⋊C4—591no—
1122C2×C22⋊C4—591no—
1123C2×C22⋊C4—591no—
1124C2×C22⋊C4—591no—
1125C2×C22⋊C4—591no—
1126C2×C22⋊C4—591no—
1127C2×C22⋊C4—591no—
1128C2×C22⋊C4—591no—
1129C2×C22⋊C4—591no—
1130C2×C22⋊C4—591no—
1131C2×C22⋊C4—591no—
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×C22⋊C4C22×D5911yescharacteristic
1142C2×C22⋊C4C22×D5911yescharacteristic
1143C2×C22⋊C4C22×D5911yescharacteristic
1144C2×C22⋊C4C22×D5911yescharacteristic
1145C2×C22⋊C4C22×D5911yescharacteristic
1146C2×C22⋊C4C22×D5911yescharacteristic
1147C2×C22⋊C4C22×D5911yescharacteristic
1148C2×C22⋊C4C22×D5911yescharacteristic
1149C2×C42—591no—
1150C2×C42—591no—
1151C2×C42—591no—
1152C2×C42—591no—
1153C2×C42—591no—
1154C2×C42—591no—
1155C2×C42—591no—
1156C2×C42—591no—
1157C2×C42—591no—
1158C2×C42—2362no—
1159C2×C42C22×D5911yescharacteristic
1160C2×C42C22×D5911yescharacteristic
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#95—591no—
1185#95—591no—
1186#95—591no—
1187#95—591no—
1188#95—591no—
1189#95—591no—
1190#95—591no—
1191#95—591no—
1192#95—591no—
1193#95C22×D5911yescharacteristic
1194#95C22×D5911yescharacteristic
1195#95C22×D5911yescharacteristic
1196#95C22×D5911yescharacteristic
1197C24—22no—
1198C24—41no—
1199C24—41no—
1200C24—41no—
1201C24—41no—
1202C24—41no—
1203C24—41no—
1204C24—591no—
1205C24—591no—
1206C24C23×D5911yescharacteristic
1207C24C23×D5911yescharacteristic
1208C24C23×D5911yescharacteristic
1209C24C23×D5911yescharacteristic
1210C2×Q8—1182no—
1211C2×Q8—1182no—
1212C2×Q8—1182no—
1213C2×Q8—1182no—
1214C2×Q8—2361no—
1215C2×Q8—2361no—
1216C2×Q8—2361no—
1217C2×Q8—2361no—
1218C2×Q8—2361no—
1219C2×Q8—2361no—
1220C2×Q8—2361no—
1221C2×Q8—2361no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—594no—
1232C2×D4—1182no—
1233C2×D4—1182no—
1234C2×D4—1182no—
1235C2×D4—1182no—
1236C2×D4—1182no—
1237C2×D4—1182no—
1238C2×D4—1182no—
1239C2×D4—2361no—
1240C2×D4—2361no—
1241C2×D4—2361no—
1242C2×D4—2361no—
1243C2×D4—2361no—
1244C2×D4—2361no—
1245C2×D4—2361no—
1246C2×D4—2361no—
1247C2×D4—2361no—
1248C2×D4—2361no—
1249C2×D4—2361no—
1250C2×D4—2361no—
1251C2×D4—2361no—
1252C2×D4—2361no—
1253C2×D4—2361no—
1254C2×D4—2361no—
1255C2×D4—2361no—
1256C2×D4—2361no—
1257C2×D4—2361no—
1258C22×C4—22no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—591no—
1264C22×C4—591no—
1265C22×C4—591no—
1266C22×C4—594no—
1267C22×C4—591no—
1268C22×C4—591no—
1269C22×C4—591no—
1270C22×C4—591no—
1271C22×C4—591no—
1272C22×C4—591no—
1273C22×C4—591no—
1274C22×C4—591no—
1275C22×C4—591no—
1276C22×C4—591no—
1277C22×C4—591no—
1278C22×C4—1182no—
1279C22×C4—1182no—
1280C22×C4—1182no—
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×C4D4×D5914yes—
1293C22×C4C23×D5911yescharacteristic
1294C22×C4C23×D5911yescharacteristic
1295C22×C4C23×D5911yescharacteristic
1296C22×C4C23×D5911yescharacteristic
1297C22×C4C23×D5911yescharacteristic
1298C22×C4C23×D5911yescharacteristic
1299C22×C4C23×D5911yescharacteristic
1300C22×C4C23×D5911yescharacteristic
1301C22×C4C23×D5911yescharacteristic
1302C22×C4C23×D5911yescharacteristic
1303C22×C4C23×D5911yescharacteristic
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—594no—
1311C4⋊C4—1182no—
1312C4⋊C4—1182no—
1313C4⋊C4—1182no—
1314C4⋊C4—1182no—
1315C4⋊C4—1182no—
1316C4⋊C4—1182no—
1317C4⋊C4—1182no—
1318C4⋊C4—1182no—
1319C4⋊C4—1182no—
1320C4⋊C4—1182no—
1321C4⋊C4—1182no—
1322C4⋊C4—1182no—
1323C4⋊C4—1182no—
1324C4⋊C4—2361no—
1325C4⋊C4—2361no—
1326C4⋊C4—2361no—
1327C4⋊C4—2361no—
1328C4⋊C4—2361no—
1329C4⋊C4—2361no—
1330C4⋊C4—2361no—
1331C4⋊C4—2361no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—594no—
1350C22⋊C4—594no—
1351C22⋊C4—1182no—
1352C22⋊C4—1182no—
1353C22⋊C4—1182no—
1354C22⋊C4—1182no—
1355C22⋊C4—1182no—
1356C22⋊C4—1182no—
1357C22⋊C4—1182no—
1358C22⋊C4—1182no—
1359C22⋊C4—1182no—
1360C22⋊C4—1182no—
1361C22⋊C4—1182no—
1362C22⋊C4—1182no—
1363C22⋊C4—1182no—
1364C22⋊C4—1182no—
1365C22⋊C4—1182no—
1366C22⋊C4—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—
1388C42—22no—
1389C42—41no—
1390C42—594no—
1391C42—1182no—
1392C42—1182no—
1393C42—1182no—
1394C42—1182no—
1395C42—1182no—
1396C42—2361no—
1397C42—2361no—
1398C42—2361no—
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—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—44no—
1427C23—82no—
1428C23—82no—
1429C23—82no—
1430C23—82no—
1431C23—82no—
1432C23—82no—
1433C23—592no—
1434C23—1181no—
1435C23—1181no—
1436C23—1181no—
1437C23—1181no—
1438C23—1181no—
1439C23—1181no—
1440C23—1181no—
1441C23—1181no—
1442C23—1181no—
1443C23—1181no—
1444C23—1181no—
1445C23—1181no—
1446C23—1181no—
1447C23C2×D4×D5912yes—
1448C23C24×D5911yescharacteristic
1449Q8—4722no—
1450Q8—4722no—
1451Q8—4722no—
1452Q8—2364no—
1453D4—82no—
1454D4—82no—
1455D4—82no—
1456D4—4722no—
1457D4—4722no—
1458D4—4722no—
1459D4—4722no—
1460D4—4722no—
1461D4—4722no—
1462D4—4722no—
1463D4—2364no—
1464D4—2364no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—44no—
1496C2×C4—82no—
1497C2×C4—592no—
1498C2×C4—592no—
1499C2×C4—592no—
1500C2×C4—1181no—
1501C2×C4—1181no—
1502C2×C4—1181no—
1503C2×C4—1181no—
1504C2×C4—1181no—
1505C2×C4—1181no—
1506C2×C4—1181no—
1507C2×C4—1181no—
1508C2×C4—1181no—
1509C2×C4—1181no—
1510C2×C4—1181no—
1511C2×C4—1181no—
1512C2×C4—1181no—
1513C2×C4—1181no—
1514C2×C4—1181no—
1515C2×C4—1181no—
1516C2×C4—1181no—
1517C2×C4—1181no—
1518C2×C4—1181no—
1519C2×C4—1181no—
1520C2×C4—1181no—
1521C2×C4—1181no—
1522C2×C4—1181no—
1523C2×C4—1181no—
1524C2×C4—1181no—
1525C2×C4—1181no—
1526C2×C4—1181no—
1527C2×C4—1181no—
1528C2×C4—1181no—
1529C2×C4—1181no—
1530C2×C4—1181no—
1531C2×C4—1181no—
1532C2×C4—1181no—
1533C2×C4—1181no—
1534C2×C4—1181no—
1535C2×C4—1181no—
1536C2×C4—1181no—
1537C2×C4—1181no—
1538C2×C4—1181no—
1539C2×C4—4722no—
1540C2×C4—2364no—
1541C2×C4—2364no—
1542C2×C4—2364no—
1543C2×C4—2364no—
1544C2×C4C2×D4×D5912yes—
1545C2×C4C2×D4×D5912yes—
1546C2×C4#1427377212yes—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—88no—
1576C22—1182no—
1577C22—1182no—
1578C22—1182no—
1579C22—2361no—
1580C22—2361no—
1581C22—2361no—
1582C22—2361no—
1583C22—2361no—
1584C22—2361no—
1585C22—2361no—
1586C22—2361no—
1587C22—2361no—
1588C22—2361no—
1589C22—2361no—
1590C22C22×D4×D5911yescharacteristic
1591C22C2×#1427377211yescharacteristic
1592C22#1683823711yescharacteristic
1593C22#1683823711yescharacteristic
1594C22#1683823811yescharacteristic
1595C22#1683823811yescharacteristic
1596C22#1683823811yescharacteristic
1597C4—22no—
1598C4—22no—
1599C4—22no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—1182no—
1609C4—1182no—
1610C4—1182no—
1611C4—2361no—
1612C4—2361no—
1613C4—2361no—
1614C4—2361no—
1615C4—2361no—
1616C4—2361no—
1617C4—2361no—
1618C4—2361no—
1619C4—2361no—
1620C4—2361no—
1621C4—2361no—
1622C2—42no—
1623C2—81no—
1624C2—81no—
1625C2—81no—
1626C2—4721no—
1627C2—2362no—
1628C2#2143742611yescharacteristic
1629C2#2143785311yescharacteristic
1630C2#2143788811yescharacteristic
1631C2#2143825511yescharacteristic
1632C2#2143836011yescharacteristic
1633C2#2143875811yescharacteristic
1634C2#2143878711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2411C2
hypercenter#2411D59
hypocenterC59#36745
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2411

Complements

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

NH ≅ G/Ntype
1. C2×#16838020C2semidirect
2. C2×#16837990C2semidirect
3. #21432426C2semidirect
4. #21432394C2semidirect
5. #21431021C2semidirect
6. #21430928C2semidirect
7. #21430914C2semidirect
8. #21430869C2semidirect
9. #21430698C2semidirect
10. #21430674C2semidirect
11. #21430652C2semidirect
12. #21430583C2semidirect
13. #21430536C2semidirect
14. #21430506C2semidirect
15. #21430487C2semidirect
16. #21430476C2semidirect
17. #21430404C2semidirect
18. #21430384C2semidirect
19. #21430318C2semidirect
20. #21430300C2semidirect
21. #21430248C2semidirect
22. #21430226C2semidirect
23. #21429780C2semidirect
24. #21429732C2semidirect
25. #21429710C2semidirect
26. #21429690C2semidirect
27. #21429582C2semidirect
28. #21429254C2semidirect
29. #21427519C2semidirect
30. #21426533C2semidirect
31. C59×#2411C2semidirect
34. C2×#14273726C22semidirect
35. C2×#14273722C22semidirect
44. C2×#14273713C22semidirect
47. C2×#14273709C22semidirect
48. C2×#14273707C22semidirect
51. C2×#14273705C22semidirect
52. C2×#14273704C22semidirect
60. C2×#14273692C22semidirect
63. C2×#14273683C22semidirect
64. C2×C42×D59C22semidirect
65. #16837344C22semidirect
66. #16837344C22semidirect
69. #16837335C22semidirect
70. #16837333C22semidirect
71. #16837331C22semidirect
72. #16837331C22semidirect
75. #16837330C22semidirect
76. #16837329C22semidirect
82. #16837325C22semidirect
83. #16837323C22semidirect
84. #16837323C22semidirect
85. #16837322C22semidirect
86. #16837319C22semidirect
97. #16837315C22semidirect
103. #16837314C22semidirect
104. #16837311C22semidirect
109. #16837307C22semidirect
110. #16837306C22semidirect
111. #16837306C22semidirect
112. #16837306C22semidirect
117. #16837302C22semidirect
118. #16837301C22semidirect
119. #16837301C22semidirect
120. #16837300C22semidirect
121. #16837300C22semidirect
122. #16837297C22semidirect
129. #16837296C22semidirect
133. #16837295C22semidirect
134. #16837293C22semidirect
135. #16837293C22semidirect
136. #16837292C22semidirect
137. #16837292C22semidirect
140. #16837290C22semidirect
141. #16837288C22semidirect
142. #16837285C22semidirect
143. #16837284C22semidirect
144. #16837283C22semidirect
145. #16837283C22semidirect
146. #16837283C22semidirect
149. #16837280C22semidirect
150. #16837280C22semidirect
151. #16837279C22semidirect
157. #16837278C22semidirect
158. #16837278C22semidirect
159. #16837277C22semidirect
160. #16837273C22semidirect
161. #16837273C22semidirect
162. #16837273C22semidirect
163. #16837266C22semidirect
166. #16837259C22semidirect
167. #16837259C22semidirect
170. C4×Dic59⋊C4C22semidirect
171. C4×(C2×D59)⋊C4C22semidirect
173. #16837248C22semidirect
235. C4×C22⋊D59D4semidirect
834. #2411D59semidirect
1006. C59#36745semidirect

Maximal subgroups

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

subgroupindex
C2×#168380202
C2×#168379902
#214324262
#214323942
#214310212
#214309282
#214309142
#214308692
#214306982
#214306742
#214306522
#214305832
#214305362
#214305062
#214304872
#214304762
#214304042
#214303842
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