Finite Group Databasebeta

← #28796216

Subgroups — #28796216

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×#16838019C211yesmaximal, characteristic, complemented
2C2×#16837987C211yesmaximal, characteristic, complemented
3#21432422C211yesmaximal, characteristic, complemented
4#21432393C211yesmaximal, characteristic, complemented
5#21431018C211yesmaximal, characteristic, complemented
6#21430929C211yesmaximal, characteristic, complemented
7#21430902C211yesmaximal, characteristic, complemented
8#21430861C211yesmaximal, characteristic, complemented
9#21430700C211yesmaximal, characteristic, complemented
10#21430672C211yesmaximal, characteristic, complemented
11#21430647C211yesmaximal, characteristic, complemented
12#21430576C211yesmaximal, characteristic, complemented
13#21430526C211yesmaximal, characteristic, complemented
14#21430500C211yesmaximal, characteristic, complemented
15#21430491C211yesmaximal, characteristic, complemented
16#21430474C211yesmaximal, characteristic, complemented
17#21430391C211yesmaximal, characteristic, complemented
18#21430382C211yesmaximal, characteristic, complemented
19#21430318C211yesmaximal, characteristic, complemented
20#21430243C211yesmaximal, characteristic, complemented
21#21430221C211yesmaximal, characteristic, complemented
22#21429779C211yesmaximal, characteristic, complemented
23#21429735C211yesmaximal, characteristic, complemented
24#21429711C211yesmaximal, characteristic, complemented
25#21429689C211yesmaximal, characteristic, complemented
26#21429580C211yesmaximal, characteristic, complemented
27#21429251C211yesmaximal, characteristic, complemented
28#21427520C211yesmaximal, characteristic, complemented
29#21427477C211yesmaximal, characteristic, complemented
30#21426536C211yesmaximal, characteristic, complemented
31C59×#2668C211yesmaximal, characteristic, complemented
32#16838019—28no—
33#16837987—28no—
34C2×#14273726C2211yescharacteristic, complemented
35C2×#14273720C2211yescharacteristic
36C2×#14273720C2211yescharacteristic
37C2×#14273720C2211yescharacteristic
38C2×#14273720C2211yescharacteristic, complemented
39C2×#14273714C2211yescharacteristic
40C2×#14273714C2211yescharacteristic
41C2×#14273714C2211yescharacteristic
42C2×#14273714C2211yescharacteristic, complemented
43C2×#14273713C2211yescharacteristic
44C2×#14273713C2211yescharacteristic
45C2×#14273709C2211yescharacteristic
46C2×#14273708C2211yescharacteristic
47C2×#14273708C2211yescharacteristic
48C2×#14273708C2211yescharacteristic, complemented
49C2×#14273706C2211yescharacteristic, complemented
50C2×#14273705C2211yescharacteristic, complemented
51C2×#14273704C2211yescharacteristic
52C2×#14273704C2211yescharacteristic
53C2×#14273704C2211yescharacteristic, complemented
54C2×#14273699C2211yescharacteristic
55C2×#14273699C2211yescharacteristic
56C2×#14273698C2211yescharacteristic
57C2×#14273696C2211yescharacteristic
58C2×#14273692C2211yescharacteristic, complemented
59C2×D4×Dic59C2211yescharacteristic
60C2×(C22⋊D59)⋊C4C2211yescharacteristic
61C2×#14273686C2211yescharacteristic, complemented
62C2×#14273683C2211yescharacteristic
63C22×C22⋊Dic59C2211yescharacteristic
64C22×C4×Dic59C2211yescharacteristic, complemented
65#16837343C2211yescharacteristic, complemented
66#16837340C2211yescharacteristic, complemented
67#16837338C2211yescharacteristic
68#16837336C2211yescharacteristic, complemented
69#16837334C2211yescharacteristic, complemented
70#16837330C2211yescharacteristic
71#16837330C2211yescharacteristic
72#16837330C2211yescharacteristic
73#16837330C2211yescharacteristic
74#16837330C2211yescharacteristic, complemented
75#16837330C2211yescharacteristic, complemented
76#16837328C2211yescharacteristic, complemented
77#16837327C2211yescharacteristic, complemented
78#16837325C2211yescharacteristic
79#16837325C2211yescharacteristic
80#16837325C2211yescharacteristic
81#16837325C2211yescharacteristic, complemented
82#16837323C2211yescharacteristic, complemented
83#16837323C2211yescharacteristic, complemented
84#16837322C2211yescharacteristic, complemented
85#16837318C2211yescharacteristic
86#16837318C2211yescharacteristic
87#16837318C2211yescharacteristic
88#16837318C2211yescharacteristic, complemented
89#16837317C2211yescharacteristic
90#16837317C2211yescharacteristic
91#16837316C2211yescharacteristic
92#16837316C2211yescharacteristic
93#16837316C2211yescharacteristic
94#16837316C2211yescharacteristic
95#16837316C2211yescharacteristic
96#16837315C2211yescharacteristic, complemented
97#16837314C2211yescharacteristic
98#16837314C2211yescharacteristic
99#16837314C2211yescharacteristic
100#16837314C2211yescharacteristic
101#16837314C2211yescharacteristic
102#16837314C2211yescharacteristic, complemented
103#16837310C2211yescharacteristic
104#16837310C2211yescharacteristic
105#16837310C2211yescharacteristic
106#16837310C2211yescharacteristic, complemented
107#16837306C2211yescharacteristic, complemented
108#16837306C2211yescharacteristic, complemented
109#16837306C2211yescharacteristic, complemented
110#16837306C2211yescharacteristic, complemented
111#16837305C2211yescharacteristic
112#16837305C2211yescharacteristic
113#16837305C2211yescharacteristic
114#16837302C2211yescharacteristic
115#16837302C2211yescharacteristic
116#16837302C2211yescharacteristic
117#16837302C2211yescharacteristic, complemented
118#16837299C2211yescharacteristic, complemented
119#16837299C2211yescharacteristic, complemented
120#16837298C2211yescharacteristic, complemented
121#16837298C2211yescharacteristic, complemented
122#16837298C2211yescharacteristic, complemented
123#16837296C2211yescharacteristic
124#16837295C2211yescharacteristic
125#16837295C2211yescharacteristic
126#16837295C2211yescharacteristic
127#16837295C2211yescharacteristic
128#16837295C2211yescharacteristic, complemented
129#16837294C2211yescharacteristic, complemented
130#16837294C2211yescharacteristic, complemented
131#16837291C2211yescharacteristic, complemented
132#16837291C2211yescharacteristic, complemented
133#16837290C2211yescharacteristic
134#16837290C2211yescharacteristic
135#16837290C2211yescharacteristic
136#16837290C2211yescharacteristic
137#16837290C2211yescharacteristic
138#16837290C2211yescharacteristic
139#16837290C2211yescharacteristic
140#16837290C2211yescharacteristic
141#16837290C2211yescharacteristic, complemented
142#16837290C2211yescharacteristic, complemented
143#16837288C2211yescharacteristic, complemented
144#16837288C2211yescharacteristic, complemented
145#16837287C2211yescharacteristic, complemented
146#16837287C2211yescharacteristic, complemented
147#16837285C2211yescharacteristic, complemented
148#16837284C2211yescharacteristic, complemented
149#16837282C2211yescharacteristic
150#16837282C2211yescharacteristic
151#16837282C2211yescharacteristic
152#16837282C2211yescharacteristic
153#16837282C2211yescharacteristic, complemented
154#16837281C2211yescharacteristic, complemented
155#16837281C2211yescharacteristic, complemented
156#16837279C2211yescharacteristic, complemented
157#16837278C2211yescharacteristic, complemented
158#16837277C2211yescharacteristic
159#16837275C2211yescharacteristic, complemented
160#16837275C2211yescharacteristic, complemented
161#16837274C2211yescharacteristic, complemented
162#16837273C2211yescharacteristic, complemented
163#16837266C2211yescharacteristic, complemented
164#16837263C2211yescharacteristic
165#16837263C2211yescharacteristic
166#16837262C2211yescharacteristic, complemented
167#16837261C2211yescharacteristic, complemented
168#16837258C2211yescharacteristic
169#16837258C2211yescharacteristic
170#16837253C2211yescharacteristic, complemented
171C22⋊C4×Dic59C2211yescharacteristic
172C22⋊C4×Dic59C2211yescharacteristic, complemented
173#16837247C2211yescharacteristic, complemented
174C2×#121×C59C2211yescharacteristic
175C2×#121×C59C2211yescharacteristic
176C2×#120×C59C2211yescharacteristic
177C2×#120×C59C2211yescharacteristic
178C59×#399C2211yescharacteristic
179C59×#397C2211yescharacteristic
180C59×#397C2211yescharacteristic
181C59×#394C2211yescharacteristic
182C59×#394C2211yescharacteristic
183C59×#392C2211yescharacteristic
184C59×#386C2211yescharacteristic
185C59×#386C2211yescharacteristic
186C59×#386C2211yescharacteristic
187C59×#386C2211yescharacteristic
188C59×#379C2211yescharacteristic
189C22×Dic118C2311yescharacteristic
190C22×Dic118C2311yescharacteristic
191C22×Dic118C2311yescharacteristic
192C22×Dic118C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C23×Dic59C2311yescharacteristic
199C23×Dic59C2311yescharacteristic
200C23×Dic59C2311yescharacteristic
201C23×Dic59C2311yescharacteristic
202C22×C4×D59C2311yescharacteristic
203#14273726—24no—
204#14273720—24no—
205#14273720—24no—
206#14273720—24no—
207#14273720—24no—
208#14273714—24no—
209#14273714—24no—
210#14273714—24no—
211#14273714—24no—
212#14273713—24no—
213#14273713—42no—
214#14273709—24no—
215#14273708—24no—
216#14273708—24no—
217#14273708—24no—
218#14273706—24no—
219#14273705—42no—
220#14273704—24no—
221#14273704—24no—
222#14273704—24no—
223#14273699—24no—
224#14273699—24no—
225#14273698—24no—
226#14273696—24no—
227#14273692—24no—
228D4×Dic59D418yescomplemented
229(C22⋊D59)⋊C4—24no—
230#14273686—24no—
231#14273683—42no—
232C2×C4⋊Dic59C2311yescharacteristic
233C2×C4⋊Dic59C2311yescharacteristic
234C2×C4⋊Dic59C2311yescharacteristic
235C2×C4⋊Dic59C2311yescharacteristic
236C2×C4⋊Dic59C2311yescharacteristic
237C2×C4⋊Dic59C2311yescharacteristic
238C2×C4⋊Dic59C2311yescharacteristic
239C2×C4⋊Dic59C2311yescharacteristic
240C2×Dic59⋊C4C2311yescharacteristic
241C2×Dic59⋊C4C2311yescharacteristic
242C2×Dic59⋊C4C2311yescharacteristic
243C2×Dic59⋊C4C2311yescharacteristic
244C2×Dic59⋊C4C2311yescharacteristic
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×C22⋊Dic59—24no—
258C2×C22⋊Dic59C2311yescharacteristic
259C2×C22⋊Dic59C2311yescharacteristic
260C2×C22⋊Dic59C2311yescharacteristic
261C2×C22⋊Dic59C2311yescharacteristic
262C2×C22⋊Dic59C2311yescharacteristic
263C2×C22⋊Dic59C2311yescharacteristic
264C2×C22⋊Dic59C2311yescharacteristic
265C2×C22⋊Dic59C2311yescharacteristic
266C2×C22⋊Dic59C2311yescharacteristic
267C2×C22⋊Dic59C2311yescharacteristic
268C2×C22⋊Dic59C2311yescharacteristic
269C2×C22⋊Dic59C2311yescharacteristic
270C2×C22⋊Dic59C2311yescharacteristic
271C2×C22⋊Dic59C2311yescharacteristic
272C2×C22⋊Dic59C2311yescharacteristic
273C2×C22⋊Dic59C2311yescharacteristic
274C2×C22⋊Dic59C2311yescharacteristic
275C2×C22⋊Dic59C2311yescharacteristic
276C2×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×(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×Dic59—42no—
299C2×C4×Dic59C2311yescharacteristic
300C2×C4×Dic59C2311yescharacteristic
301C2×C4×Dic59C2311yescharacteristic
302C2×C4×Dic59C2311yescharacteristic
303C2×C4×Dic59C2311yescharacteristic
304C2×C4×Dic59C2311yescharacteristic
305C2×C4×Dic59C2311yescharacteristic
306C2×C4×Dic59C2311yescharacteristic
307C2×C4×Dic59C2311yescharacteristic
308C2×C4×Dic59C2311yescharacteristic
309C2×C4×Dic59C2311yescharacteristic
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
344C22×D4×C59C2311yescharacteristic
345C22×D4×C59C2311yescharacteristic
346C22×D4×C59C2311yescharacteristic
347C22×D4×C59C2311yescharacteristic
348C23×C4×C59C2311yescharacteristic
349C23×C4×C59C2311yescharacteristic
350#121×C59—24no—
351#121×C59—42no—
352#120×C59—24no—
353#120×C59—42no—
354C2×C4⋊C4×C59C2311yescharacteristic
355C2×C4⋊C4×C59C2311yescharacteristic
356C2×C4⋊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
373#95×C59C2311yescharacteristic
374#95×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
390C24×C59C2411yescharacteristic
391C23×D59C2411yescharacteristic
392C2×D4×C59—22no—
393C2×D4×C59—22no—
394C2×D4×C59—22no—
395C2×D4×C59—22no—
396C2×D4×C59—22no—
397C2×D4×C59—41no—
398C2×D4×C59—41no—
399C2×D4×C59—41no—
400C2×D4×C59—41no—
401C2×D4×C59—41no—
402C2×D4×C59—41no—
403C2×D4×C59—41no—
404C2×D4×C59—41no—
405C2×D4×C59—41no—
406C2×D4×C59—41no—
407C2×D4×C59—41no—
408C2×D4×C59—41no—
409C2×D4×C59—41no—
410C2×D4×C59—41no—
411C2×D4×C59—41no—
412C2×D4×C59C2×D414yes—
413C22×C4×C59—22no—
414C22×C4×C59—22no—
415C22×C4×C59—41no—
416C22×C4×C59—41no—
417C22×C4×C59—41no—
418C22×C4×C59—41no—
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
428C22×C4×C59C2411yescharacteristic
429C2×C22⋊D59—22no—
430C2×C22⋊D59—22no—
431C2×C22⋊D59—22no—
432C2×C22⋊D59—22no—
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⋊D59—41no—
442C2×C22⋊D59—41no—
443C2×C22⋊D59—41no—
444C22×Dic59—22no—
445C22×Dic59—41no—
446C22×Dic59—41no—
447C22×Dic59—41no—
448C22×Dic59—41no—
449C22×Dic59—41no—
450C22×Dic59—41no—
451C22×Dic59—41no—
452C22×Dic59—41no—
453C22×Dic59—41no—
454C22×Dic59C2×D414yes—
455C22×Dic59C2×D414yes—
456C22×Dic59C2411yescharacteristic
457C22×Dic59C2411yescharacteristic
458C22×Dic59C2411yescharacteristic
459C22×Dic59C2411yescharacteristic
460C22×Dic59C2411yescharacteristic
461C22×Dic59C2411yescharacteristic
462C22×Dic59C2411yescharacteristic
463C22×Dic59C2411yescharacteristic
464C22×Dic59C2411yescharacteristic
465C22×Dic59C2411yescharacteristic
466C22×Dic59C2411yescharacteristic
467C22×Dic59C2411yescharacteristic
468C22×Dic59C2411yescharacteristic
469C22×Dic59C2411yescharacteristic
470C22×Dic59C2411yescharacteristic
471C2×C4×D59—22no—
472C2×C4×D59—41no—
473C2×C4×D59—41no—
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—41no—
489C22⋊C4×C59—22no—
490C22⋊C4×C59—22no—
491C22⋊C4×C59—22no—
492C22⋊C4×C59—22no—
493C22⋊C4×C59—22no—
494C22⋊C4×C59—22no—
495C22⋊C4×C59—22no—
496C22⋊C4×C59—41no—
497C22⋊C4×C59—41no—
498C22⋊C4×C59—41no—
499C22⋊C4×C59—41no—
500C22⋊C4×C59—41no—
501C22⋊C4×C59—41no—
502C22⋊C4×C59—41no—
503C22⋊C4×C59—41no—
504C22⋊C4×C59—41no—
505C22⋊Dic59—22no—
506C22⋊Dic59—22no—
507C22⋊Dic59—22no—
508C22⋊Dic59—22no—
509C22⋊Dic59—22no—
510C22⋊Dic59—22no—
511C22⋊Dic59—22no—
512C22⋊Dic59—22no—
513C22⋊Dic59—22no—
514C22⋊Dic59—22no—
515C22⋊Dic59—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⋊Dic59—41no—
534C22⋊Dic59C2×D414yes—
535C22⋊Dic59C2×D414yes—
536(C2×D59)⋊C4—22no—
537(C2×D59)⋊C4—22no—
538(C2×D59)⋊C4—22no—
539(C2×D59)⋊C4—41no—
540(C2×D59)⋊C4—41no—
541(C2×D59)⋊C4—41no—
542(C2×D59)⋊C4—41no—
543(C2×D59)⋊C4—41no—
544(C2×D59)⋊C4—41no—
545C4⋊Dic59—22no—
546C4⋊Dic59—22no—
547C4⋊Dic59—22no—
548C4⋊Dic59—41no—
549C4⋊Dic59—41no—
550C4⋊Dic59—41no—
551C4⋊Dic59—41no—
552C4⋊Dic59C2×D414yes—
553Dic59⋊C4—22no—
554Dic59⋊C4—22no—
555Dic59⋊C4—22no—
556Dic59⋊C4—22no—
557Dic59⋊C4—22no—
558Dic59⋊C4—22no—
559Dic59⋊C4—22no—
560Dic59⋊C4—22no—
561Dic59⋊C4—22no—
562Dic59⋊C4—22no—
563Dic59⋊C4—22no—
564Dic59⋊C4—41no—
565Dic59⋊C4—41no—
566Dic59⋊C4—41no—
567Dic59⋊C4—41no—
568Dic59⋊C4—41no—
569Dic59⋊C4—41no—
570C4×Dic59—22no—
571C4×Dic59—22no—
572C4×Dic59—22no—
573C4×Dic59—22no—
574C4×Dic59—22no—
575C4×Dic59—22no—
576C4×Dic59—41no—
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—21no—
609C23×C59—21no—
610C23×C59—21no—
611C23×C59—21no—
612C23×C59—21no—
613C23×C59—21no—
614C23×C59—44no—
615C23×C59—82no—
616C23×C59—82no—
617C23×C59—82no—
618C23×C59—82no—
619C23×C59—82no—
620C23×C59—82no—
621C23×C59C22×D412yes—
622C23×C59C22×D412yes—
623C23×C59C2511yescharacteristic
624C22×D59—21no—
625C22×D59—21no—
626C22×D59—21no—
627C22×D59—21no—
628C22×D59—21no—
629C22×D59—21no—
630C22×D59—21no—
631D4×C59—44no—
632D4×C59—82no—
633D4×C59—82no—
634D4×C59—82no—
635D4×C59—82no—
636D4×C59—82no—
637D4×C59—82no—
638C2×C4×C59—21no—
639C2×C4×C59—21no—
640C2×C4×C59—21no—
641C2×C4×C59—21no—
642C2×C4×C59—21no—
643C2×C4×C59—21no—
644C2×C4×C59—21no—
645C2×C4×C59—21no—
646C2×C4×C59—21no—
647C2×C4×C59—21no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—21no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59—21no—
665C2×C4×C59—21no—
666C2×C4×C59—44no—
667C2×C4×C59—44no—
668C2×C4×C59C22×D412yes—
669C2×C4×C59H(5,𝔽2)12yes—
670C22⋊D59—44no—
671C22⋊D59—82no—
672C22⋊D59—82no—
673C22⋊D59—82no—
674C22⋊D59—82no—
675C2×Dic59—21no—
676C2×Dic59—21no—
677C2×Dic59—21no—
678C2×Dic59—21no—
679C2×Dic59—21no—
680C2×Dic59—21no—
681C2×Dic59—21no—
682C2×Dic59—21no—
683C2×Dic59—21no—
684C2×Dic59—21no—
685C2×Dic59—21no—
686C2×Dic59—21no—
687C2×Dic59—21no—
688C2×Dic59—21no—
689C2×Dic59—21no—
690C2×Dic59—21no—
691C2×Dic59—21no—
692C2×Dic59—21no—
693C2×Dic59—21no—
694C2×Dic59—21no—
695C2×Dic59—21no—
696C2×Dic59—21no—
697C2×Dic59—21no—
698C2×Dic59—21no—
699C2×Dic59—21no—
700C2×Dic59—21no—
701C2×Dic59—21no—
702C2×Dic59—21no—
703C2×Dic59—21no—
704C2×Dic59—21no—
705C2×Dic59—21no—
706C2×Dic59—21no—
707C2×Dic59—21no—
708C2×Dic59—21no—
709C2×Dic59—21no—
710C2×Dic59—21no—
711C2×Dic59—21no—
712C2×Dic59—21no—
713C2×Dic59—21no—
714C2×Dic59—21no—
715C2×Dic59—21no—
716C2×Dic59—44no—
717C2×Dic59—44no—
718C2×Dic59—44no—
719C2×Dic59—82no—
720C2×Dic59C22×D412yes—
721C2×Dic59C22×D412yes—
722C2×Dic59C22×D412yes—
723C2×Dic59C22×D412yes—
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—22no—
734C22×C59—22no—
735C22×C59—22no—
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—41no—
759C22×C59—41no—
760C22×C59—41no—
761C22×C59—41no—
762C22×C59—41no—
763C22×C59—41no—
764C22×C59—41no—
765C22×C59—88no—
766C22×C59C23×D411yescharacteristic
767C22×C59C2×H(5,𝔽2)11yescharacteristic
768C22×C59#58511yescharacteristic
769C22×C59#58511yescharacteristic
770C22×C59#58511yescharacteristic
771C22×C59#58511yescharacteristic
772C22×C59#58511yescharacteristic
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—41no—
783C4×C59—41no—
784C4×C59—41no—
785C4×C59—41no—
786C4×C59—41no—
787C4×C59—41no—
788C4×C59—41no—
789C4×C59—41no—
790Dic59—22no—
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#2668D5911yescharacteristic, complemented
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#2411—591no—
835#2290—591no—
836C2×C59—42no—
837C2×C59—42no—
838C2×C59—81no—
839C2×C59—81no—
840C2×C59—81no—
841C2×C59#344911yescharacteristic
842C2×C59#349611yescharacteristic
843C2×C59#350011yescharacteristic
844C2×C59#353311yescharacteristic
845C2×C59#354011yescharacteristic
846C2×C59#356611yescharacteristic
847C2×C59#356811yescharacteristic
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×#123—591no—
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×#121C2×D5911yescharacteristic
875C2×#121C2×D5911yescharacteristic
876C2×#120—591no—
877C2×#120C2×D5911yescharacteristic
878C2×#120C2×D5911yescharacteristic
879C2×C4×Q8—591no—
880C2×C4×D4—591no—
881C2×C4×D4—591no—
882C2×#117—591no—
883C2×#117—591no—
884C22×C22⋊C4—591no—
885C22×C42—591no—
886#400—591no—
887#400—591no—
888#399—591no—
889#399C2×D5911yescharacteristic
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#397C2×D5911yescharacteristic
901#397C2×D5911yescharacteristic
902#396—591no—
903#396—591no—
904#396—591no—
905#396—591no—
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#392C2×D5911yescharacteristic
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#390—591no—
944#390—591no—
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#388—591no—
969#388—591no—
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#386C2×D5911yescharacteristic
986#386C2×D5911yescharacteristic
987#386C2×D5911yescharacteristic
988#386C2×D5911yescharacteristic
989#385—591no—
990#385—591no—
991#385—591no—
992#385—591no—
993#385—591no—
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×D4C22×D5911yescharacteristic
1018C22×D4C22×D5911yescharacteristic
1019C22×D4C22×D5911yescharacteristic
1020C22×D4C22×D5911yescharacteristic
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—1184no—
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—24no—
1052#121—42no—
1053#121—1184no—
1054#121—1184no—
1055#121—1184no—
1056#120—24no—
1057#120—42no—
1058#120—1184no—
1059C4×Q8—1184no—
1060C4×D4—598no—
1061C4×D4—1184no—
1062#117—1184no—
1063#117—2362no—
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⋊C4—591no—
1087C2×C4⋊C4—591no—
1088C2×C4⋊C4—591no—
1089C2×C4⋊C4C22×D5911yescharacteristic
1090C2×C4⋊C4C22×D5911yescharacteristic
1091C2×C4⋊C4C22×D5911yescharacteristic
1092C2×C22⋊C4—591no—
1093C2×C22⋊C4—591no—
1094C2×C22⋊C4—591no—
1095C2×C22⋊C4—591no—
1096C2×C22⋊C4—591no—
1097C2×C22⋊C4—591no—
1098C2×C22⋊C4—591no—
1099C2×C22⋊C4—591no—
1100C2×C22⋊C4—591no—
1101C2×C22⋊C4—591no—
1102C2×C22⋊C4—591no—
1103C2×C22⋊C4—591no—
1104C2×C22⋊C4—591no—
1105C2×C22⋊C4—591no—
1106C2×C22⋊C4—591no—
1107C2×C22⋊C4—591no—
1108C2×C22⋊C4—591no—
1109C2×C22⋊C4—591no—
1110C2×C22⋊C4—591no—
1111C2×C22⋊C4—591no—
1112C2×C22⋊C4—591no—
1113C2×C22⋊C4—591no—
1114C2×C22⋊C4—591no—
1115C2×C22⋊C4—591no—
1116C2×C22⋊C4—591no—
1117C2×C22⋊C4—591no—
1118C2×C22⋊C4—591no—
1119C2×C22⋊C4—591no—
1120C2×C22⋊C4—591no—
1121C2×C22⋊C4—591no—
1122C2×C22⋊C4—591no—
1123C2×C22⋊C4—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⋊C4—1184no—
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—591no—
1159C2×C42—591no—
1160C2×C42—2362no—
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#95C22×D5911yescharacteristic
1192#95C22×D5911yescharacteristic
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—
1205C24C23×D5911yescharacteristic
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—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—1182no—
1243C2×D4—1182no—
1244C2×D4—1182no—
1245C2×D4—1182no—
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×D4D4×D5914yes—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—591no—
1265C22×C4—591no—
1266C22×C4—591no—
1267C22×C4—591no—
1268C22×C4—594no—
1269C22×C4—594no—
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—591no—
1279C22×C4—591no—
1280C22×C4—591no—
1281C22×C4—1182no—
1282C22×C4—1182no—
1283C22×C4—2361no—
1284C22×C4—2361no—
1285C22×C4—2361no—
1286C22×C4—2361no—
1287C22×C4—2361no—
1288C22×C4—2361no—
1289C22×C4—2361no—
1290C22×C4—2361no—
1291C22×C4—2361no—
1292C22×C4—2361no—
1293C22×C4—2361no—
1294C22×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—41no—
1307C4⋊C4—594no—
1308C4⋊C4—1182no—
1309C4⋊C4—1182no—
1310C4⋊C4—1182no—
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—2361no—
1323C4⋊C4—2361no—
1324C4⋊C4—2361no—
1325C4⋊C4—2361no—
1326C4⋊C4—2361no—
1327C4⋊C4—2361no—
1328C4⋊C4—2361no—
1329C4⋊C4—2361no—
1330C4⋊C4—2361no—
1331C4⋊C4—2361no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—594no—
1349C22⋊C4—594no—
1350C22⋊C4—1182no—
1351C22⋊C4—1182no—
1352C22⋊C4—1182no—
1353C22⋊C4—1182no—
1354C22⋊C4—1182no—
1355C22⋊C4—1182no—
1356C22⋊C4—1182no—
1357C22⋊C4—1182no—
1358C22⋊C4—1182no—
1359C22⋊C4—1182no—
1360C22⋊C4—1182no—
1361C22⋊C4—1182no—
1362C22⋊C4—1182no—
1363C22⋊C4—1182no—
1364C22⋊C4—1182no—
1365C22⋊C4—1182no—
1366C22⋊C4—1182no—
1367C22⋊C4—1182no—
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—594no—
1389C42—1182no—
1390C42—1182no—
1391C42—1182no—
1392C42—1182no—
1393C42—1182no—
1394C42—1182no—
1395C42—2361no—
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—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—44no—
1433C23—82no—
1434C23—82no—
1435C23—82no—
1436C23—82no—
1437C23—82no—
1438C23—82no—
1439C23—1181no—
1440C23—1181no—
1441C23—1181no—
1442C23—1181no—
1443C23—1181no—
1444C23—1181no—
1445C23—1181no—
1446C23C2×D4×D5912yes—
1447C23C2×D4×D5912yes—
1448C23C24×D5911yescharacteristic
1449Q8—4722no—
1450Q8—4722no—
1451Q8—4722no—
1452Q8—2364no—
1453D4—44no—
1454D4—82no—
1455D4—82no—
1456D4—82no—
1457D4—82no—
1458D4—82no—
1459D4—82no—
1460D4—4722no—
1461D4—4722no—
1462D4—4722no—
1463D4—4722no—
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—44no—
1494C2×C4—44no—
1495C2×C4—592no—
1496C2×C4—592no—
1497C2×C4—592no—
1498C2×C4—592no—
1499C2×C4—1181no—
1500C2×C4—1181no—
1501C2×C4—1181no—
1502C2×C4—1181no—
1503C2×C4—1181no—
1504C2×C4—1181no—
1505C2×C4—1181no—
1506C2×C4—1181no—
1507C2×C4—1181no—
1508C2×C4—1181no—
1509C2×C4—1181no—
1510C2×C4—1181no—
1511C2×C4—1181no—
1512C2×C4—1181no—
1513C2×C4—1181no—
1514C2×C4—1181no—
1515C2×C4—1181no—
1516C2×C4—1181no—
1517C2×C4—1181no—
1518C2×C4—1181no—
1519C2×C4—1181no—
1520C2×C4—1181no—
1521C2×C4—1181no—
1522C2×C4—1181no—
1523C2×C4—1181no—
1524C2×C4—1181no—
1525C2×C4—1181no—
1526C2×C4—1181no—
1527C2×C4—1181no—
1528C2×C4—1181no—
1529C2×C4—1181no—
1530C2×C4—1181no—
1531C2×C4—1181no—
1532C2×C4—1181no—
1533C2×C4—1181no—
1534C2×C4—1181no—
1535C2×C4—1181no—
1536C2×C4—1181no—
1537C2×C4—1181no—
1538C2×C4—1181no—
1539C2×C4—1181no—
1540C2×C4—4722no—
1541C2×C4—4722no—
1542C2×C4—2364no—
1543C2×C4—2364no—
1544C2×C4—2364no—
1545C2×C4C2×D4×D5912yes—
1546C2×C4#1427377212yes—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
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—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—88no—
1583C22—2361no—
1584C22—2361no—
1585C22—2361no—
1586C22—2361no—
1587C22—2361no—
1588C22—2361no—
1589C22—2361no—
1590C22C22×D4×D5911yescharacteristic
1591C22C2×#1427377211yescharacteristic
1592C22#1683823711yescharacteristic
1593C22#1683823711yescharacteristic
1594C22#1683823711yescharacteristic
1595C22#1683823711yescharacteristic
1596C22#1683823811yescharacteristic
1597C4—22no—
1598C4—22no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—1182no—
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—42no—
1624C2—81no—
1625C2—81no—
1626C2—81no—
1627C2—4721no—
1628C2#2143742211yescharacteristic
1629C2#2143785211yescharacteristic
1630C2#2143788211yescharacteristic
1631C2#2143825711yescharacteristic
1632C2#2143836011yescharacteristic
1633C2#2143875311yescharacteristic
1634C2#2143878911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2668C2
hypercenter#2668D59
hypocenterC59#36745
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2668

Complements

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

NH ≅ G/Ntype
1. C2×#16838019C2semidirect
2. C2×#16837987C2semidirect
3. #21432422C2semidirect
4. #21432393C2semidirect
5. #21431018C2semidirect
6. #21430929C2semidirect
7. #21430902C2semidirect
8. #21430861C2semidirect
9. #21430700C2semidirect
10. #21430672C2semidirect
11. #21430647C2semidirect
12. #21430576C2semidirect
13. #21430526C2semidirect
14. #21430500C2semidirect
15. #21430491C2semidirect
16. #21430474C2semidirect
17. #21430391C2semidirect
18. #21430382C2semidirect
19. #21430318C2semidirect
20. #21430243C2semidirect
21. #21430221C2semidirect
22. #21429779C2semidirect
23. #21429735C2semidirect
24. #21429711C2semidirect
25. #21429689C2semidirect
26. #21429580C2semidirect
27. #21429251C2semidirect
28. #21427520C2semidirect
29. #21427477C2semidirect
30. #21426536C2semidirect
31. C59×#2668C2semidirect
34. C2×#14273726C22semidirect
38. C2×#14273720C22semidirect
42. C2×#14273714C22semidirect
48. C2×#14273708C22semidirect
49. C2×#14273706C22semidirect
50. C2×#14273705C22semidirect
53. C2×#14273704C22semidirect
58. C2×#14273692C22semidirect
61. C2×#14273686C22semidirect
64. C22×C4×Dic59C22semidirect
65. #16837343C22semidirect
66. #16837340C22semidirect
68. #16837336C22semidirect
69. #16837334C22semidirect
74. #16837330C22semidirect
75. #16837330C22semidirect
76. #16837328C22semidirect
77. #16837327C22semidirect
81. #16837325C22semidirect
82. #16837323C22semidirect
83. #16837323C22semidirect
84. #16837322C22semidirect
88. #16837318C22semidirect
96. #16837315C22semidirect
102. #16837314C22semidirect
106. #16837310C22semidirect
107. #16837306C22semidirect
108. #16837306C22semidirect
109. #16837306C22semidirect
110. #16837306C22semidirect
117. #16837302C22semidirect
118. #16837299C22semidirect
119. #16837299C22semidirect
120. #16837298C22semidirect
121. #16837298C22semidirect
122. #16837298C22semidirect
128. #16837295C22semidirect
129. #16837294C22semidirect
130. #16837294C22semidirect
131. #16837291C22semidirect
132. #16837291C22semidirect
141. #16837290C22semidirect
142. #16837290C22semidirect
143. #16837288C22semidirect
144. #16837288C22semidirect
145. #16837287C22semidirect
146. #16837287C22semidirect
147. #16837285C22semidirect
148. #16837284C22semidirect
153. #16837282C22semidirect
154. #16837281C22semidirect
155. #16837281C22semidirect
156. #16837279C22semidirect
157. #16837278C22semidirect
159. #16837275C22semidirect
160. #16837275C22semidirect
161. #16837274C22semidirect
162. #16837273C22semidirect
163. #16837266C22semidirect
166. #16837262C22semidirect
167. #16837261C22semidirect
170. #16837253C22semidirect
172. C22⋊C4×Dic59C22semidirect
173. #16837247C22semidirect
228. D4×Dic59D4semidirect
824. #2668D59semidirect
1006. C59#36745semidirect

Maximal subgroups

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

subgroupindex
C2×#168380192
C2×#168379872
#214324222
#214323932
#214310182
#214309292
#214309022
#214308612
#214307002
#214306722
#214306472
#214305762
#214305262
#214305002
#214304912
#214304742
#214303912
#214303822
#214303182
#214302432
#214302212
#214297792
#214297352
#214297112
#214296892
#214295802
#214292512
#214275202
#214274772
#214265362
C59×#26682
#3674559