Finite Group Databasebeta

← #28795545

Subgroups — #28795545

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×#16838019C211yesmaximal, characteristic, complemented
2C2×#16837908C211yesmaximal, characteristic, complemented
3#21432386C211yesmaximal, characteristic, complemented
4#21432381C211yesmaximal, characteristic, complemented
5#21430649C211yesmaximal, characteristic, complemented
6#21430630C211yesmaximal, characteristic, complemented
7#21430593C211yesmaximal, characteristic, complemented
8#21430574C211yesmaximal, characteristic, complemented
9#21430553C211yesmaximal, characteristic, complemented
10#21430500C211yesmaximal, characteristic, complemented
11#21430491C211yesmaximal, characteristic, complemented
12#21430474C211yesmaximal, characteristic, complemented
13#21430412C211yesmaximal, characteristic, complemented
14#21430390C211yesmaximal, characteristic, complemented
15#21430383C211yesmaximal, characteristic, complemented
16#21430379C211yesmaximal, characteristic, complemented
17#21430341C211yesmaximal, characteristic, complemented
18#21430326C211yesmaximal, characteristic, complemented
19#21430318C211yesmaximal, characteristic, complemented
20#21430015C211yesmaximal, characteristic, complemented
21#21429936C211yesmaximal, characteristic, complemented
22#21429770C211yesmaximal, characteristic, complemented
23#21429701C211yesmaximal, characteristic, complemented
24#21429674C211yesmaximal, characteristic, complemented
25#21429658C211yesmaximal, characteristic, complemented
26#21429451C211yesmaximal, characteristic, complemented
27#21429280C211yesmaximal, characteristic, complemented
28#21427719C211yesmaximal, characteristic, complemented
29#21427702C211yesmaximal, characteristic, complemented
30#21426722C211yesmaximal, characteristic, complemented
31C59×#2668C211yesmaximal, characteristic, complemented
32C22×#11745687C2211yescharacteristic
33C24×Dic59C2211yescharacteristic
34#16838019—28no—
35C2×#14273726C2211yescharacteristic, complemented
36C2×#14273726C2211yescharacteristic, complemented
37C2×#14273720C2211yescharacteristic
38C2×#14273720C2211yescharacteristic, complemented
39C2×#14273714C2211yescharacteristic
40C2×#14273714C2211yescharacteristic
41C2×#14273714C2211yescharacteristic, complemented
42C2×#14273713C2211yescharacteristic
43#16837908—28no—
44C2×#14273711C2211yescharacteristic
45C2×#14273708C2211yescharacteristic
46C2×#14273708C2211yescharacteristic
47C2×#14273708C2211yescharacteristic
48C2×#14273708C2211yescharacteristic, complemented
49C2×#14273706C2211yescharacteristic, complemented
50C2×#14273704C2211yescharacteristic
51C2×#14273704C2211yescharacteristic
52C2×#14273704C2211yescharacteristic
53C2×#14273704C2211yescharacteristic
54C2×#14273704C2211yescharacteristic
55C2×#14273704C2211yescharacteristic, complemented
56C2×#14273699C2211yescharacteristic
57C2×#14273699C2211yescharacteristic
58C2×#14273699C2211yescharacteristic, complemented
59C2×#14273696C2211yescharacteristic
60C2×#14273692C2211yescharacteristic, complemented
61C2×D4×Dic59C2211yescharacteristic
62C2×D4×Dic59C2211yescharacteristic
63C2×(C22⋊D59)⋊C4C2211yescharacteristic
64C2×(C22⋊D59)⋊C4C2211yescharacteristic
65C2×#14273686C2211yescharacteristic, complemented
66C2×#14273683C2211yescharacteristic
67#16837344C2211yescharacteristic, complemented
68#16837344C2211yescharacteristic, complemented
69#16837338C2211yescharacteristic
70#16837338C2211yescharacteristic, complemented
71#16837337C2211yescharacteristic, complemented
72#16837336C2211yescharacteristic, complemented
73#16837336C2211yescharacteristic, complemented
74#16837333C2211yescharacteristic, complemented
75#16837333C2211yescharacteristic, complemented
76#16837331C2211yescharacteristic, complemented
77#16837330C2211yescharacteristic
78#16837330C2211yescharacteristic
79#16837327C2211yescharacteristic, complemented
80#16837326C2211yescharacteristic, complemented
81#16837325C2211yescharacteristic
82#16837325C2211yescharacteristic, complemented
83#16837325C2211yescharacteristic, complemented
84#16837323C2211yescharacteristic, complemented
85#16837323C2211yescharacteristic, complemented
86#16837322C2211yescharacteristic, complemented
87#16837322C2211yescharacteristic, complemented
88#16837318C2211yescharacteristic
89#16837318C2211yescharacteristic
90#16837318C2211yescharacteristic
91#16837318C2211yescharacteristic, complemented
92#16837317C2211yescharacteristic
93#16837317C2211yescharacteristic
94#16837317C2211yescharacteristic, complemented
95#16837317C2211yescharacteristic, complemented
96#16837316C2211yescharacteristic
97#16837316C2211yescharacteristic
98#16837316C2211yescharacteristic
99#16837316C2211yescharacteristic, complemented
100#16837315C2211yescharacteristic, complemented
101#16837315C2211yescharacteristic, complemented
102#16837314C2211yescharacteristic
103#16837314C2211yescharacteristic
104#16837314C2211yescharacteristic
105#16837314C2211yescharacteristic, complemented
106#16837310C2211yescharacteristic
107#16837310C2211yescharacteristic
108#16837310C2211yescharacteristic
109#16837306C2211yescharacteristic, complemented
110#16837305C2211yescharacteristic
111#16837302C2211yescharacteristic
112#16837302C2211yescharacteristic
113#16837302C2211yescharacteristic
114#16837299C2211yescharacteristic, complemented
115#16837297C2211yescharacteristic, complemented
116#16837297C2211yescharacteristic, complemented
117#16837296C2211yescharacteristic
118#16837296C2211yescharacteristic, complemented
119#16837295C2211yescharacteristic
120#16837295C2211yescharacteristic
121#16837295C2211yescharacteristic, complemented
122#16837294C2211yescharacteristic, complemented
123#16837290C2211yescharacteristic
124#16837290C2211yescharacteristic
125#16837290C2211yescharacteristic
126#16837290C2211yescharacteristic
127#16837289C2211yescharacteristic, complemented
128#16837287C2211yescharacteristic, complemented
129#16837287C2211yescharacteristic, complemented
130#16837285C2211yescharacteristic, complemented
131#16837285C2211yescharacteristic, complemented
132#16837285C2211yescharacteristic, complemented
133#16837284C2211yescharacteristic, complemented
134#16837284C2211yescharacteristic, complemented
135#16837282C2211yescharacteristic
136#16837282C2211yescharacteristic
137#16837282C2211yescharacteristic
138#16837282C2211yescharacteristic
139#16837282C2211yescharacteristic
140#16837282C2211yescharacteristic
141#16837282C2211yescharacteristic
142#16837281C2211yescharacteristic, complemented
143#16837281C2211yescharacteristic, complemented
144#16837278C2211yescharacteristic, complemented
145#16837277C2211yescharacteristic
146#16837277C2211yescharacteristic
147#16837277C2211yescharacteristic
148#16837276C2211yescharacteristic, complemented
149#16837275C2211yescharacteristic, complemented
150#16837275C2211yescharacteristic, complemented
151#16837274C2211yescharacteristic
152#16837274C2211yescharacteristic
153#16837274C2211yescharacteristic
154#16837274C2211yescharacteristic
155#16837274C2211yescharacteristic
156#16837274C2211yescharacteristic
157#16837274C2211yescharacteristic
158#16837274C2211yescharacteristic, complemented
159#16837273C2211yescharacteristic, complemented
160#16837273C2211yescharacteristic, complemented
161#16837269C2211yescharacteristic, complemented
162#16837266C2211yescharacteristic, complemented
163#16837263C2211yescharacteristic
164#16837263C2211yescharacteristic
165#16837262C2211yescharacteristic, complemented
166#16837260C2211yescharacteristic
167#16837260C2211yescharacteristic
168#16837260C2211yescharacteristic
169#16837260C2211yescharacteristic, complemented
170#16837258C2211yescharacteristic
171#16837258C2211yescharacteristic
172C22⋊C4×Dic59C2211yescharacteristic, complemented
173C2×C59⋊#95C2211yescharacteristic, 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
189C2×#11745687—24no—
190C2×#11745687—42no—
191C2×#11745687—42no—
192C22×Dic118C2311yescharacteristic
193C22×Dic118C2311yescharacteristic
194C22×Dic118C2311yescharacteristic
195C22×Dic118C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C23×Dic59—24no—
202C23×Dic59—42no—
203C23×Dic59—42no—
204C23×Dic59C2311yescharacteristic
205C23×Dic59C2311yescharacteristic
206C23×Dic59C2311yescharacteristic
207C23×Dic59C2311yescharacteristic
208C23×Dic59C2311yescharacteristic
209C23×Dic59C2311yescharacteristic
210C23×Dic59C2311yescharacteristic
211C23×Dic59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213#14273726—24no—
214#14273726—42no—
215#14273720—24no—
216#14273720—24no—
217#14273714—24no—
218#14273714—24no—
219#14273714—24no—
220#14273713—42no—
221#14273711—24no—
222#14273708—24no—
223#14273708—24no—
224#14273708—24no—
225#14273708—42no—
226#14273706—24no—
227#14273704—24no—
228#14273704—24no—
229#14273704—24no—
230#14273704—24no—
231#14273704—42no—
232#14273704—42no—
233#14273699—24no—
234#14273699—24no—
235#14273699—42no—
236#14273696—24no—
237#14273692—24no—
238D4×Dic59—24no—
239D4×Dic59D418yescomplemented
240(C22⋊D59)⋊C4—24no—
241(C22⋊D59)⋊C4—24no—
242#14273686—24no—
243#14273683—24no—
244C2×C4⋊Dic59C2311yescharacteristic
245C2×C4⋊Dic59C2311yescharacteristic
246C2×C4⋊Dic59C2311yescharacteristic
247C2×C4⋊Dic59C2311yescharacteristic
248C2×C4⋊Dic59C2311yescharacteristic
249C2×C4⋊Dic59C2311yescharacteristic
250C2×C4⋊Dic59C2311yescharacteristic
251C2×C4⋊Dic59C2311yescharacteristic
252C2×Dic59⋊C4C2311yescharacteristic
253C2×Dic59⋊C4C2311yescharacteristic
254C2×Dic59⋊C4C2311yescharacteristic
255C2×Dic59⋊C4C2311yescharacteristic
256C2×Dic59⋊C4C2311yescharacteristic
257C2×Dic59⋊C4C2311yescharacteristic
258C2×Dic59⋊C4C2311yescharacteristic
259C2×Dic59⋊C4C2311yescharacteristic
260C2×Dic59⋊C4C2311yescharacteristic
261C2×Dic59⋊C4C2311yescharacteristic
262C2×Dic59⋊C4C2311yescharacteristic
263C2×Dic59⋊C4C2311yescharacteristic
264C2×Dic59⋊C4C2311yescharacteristic
265C2×Dic59⋊C4C2311yescharacteristic
266C2×Dic59⋊C4C2311yescharacteristic
267C2×Dic59⋊C4C2311yescharacteristic
268C2×Dic59⋊C4C2311yescharacteristic
269C2×Dic59⋊C4C2311yescharacteristic
270C2×Dic59⋊C4C2311yescharacteristic
271C2×Dic59⋊C4C2311yescharacteristic
272C2×Dic59⋊C4C2311yescharacteristic
273C2×C22⋊Dic59C2311yescharacteristic
274C2×C22⋊Dic59C2311yescharacteristic
275C2×C22⋊Dic59C2311yescharacteristic
276C2×C22⋊Dic59C2311yescharacteristic
277C2×C22⋊Dic59C2311yescharacteristic
278C2×C22⋊Dic59C2311yescharacteristic
279C2×C22⋊Dic59C2311yescharacteristic
280C2×C22⋊Dic59C2311yescharacteristic
281C2×C22⋊Dic59C2311yescharacteristic
282C2×C22⋊Dic59C2311yescharacteristic
283C2×C22⋊Dic59C2311yescharacteristic
284C2×C22⋊Dic59C2311yescharacteristic
285C2×C22⋊Dic59C2311yescharacteristic
286C2×C22⋊Dic59C2311yescharacteristic
287C2×C22⋊Dic59C2311yescharacteristic
288C2×C22⋊Dic59C2311yescharacteristic
289C2×C22⋊Dic59C2311yescharacteristic
290C2×C22⋊Dic59C2311yescharacteristic
291C2×C22⋊Dic59C2311yescharacteristic
292C2×C22⋊Dic59C2311yescharacteristic
293C2×C22⋊Dic59C2311yescharacteristic
294C2×C22⋊Dic59C2311yescharacteristic
295C2×C22⋊Dic59C2311yescharacteristic
296C2×C22⋊Dic59C2311yescharacteristic
297C2×C22⋊Dic59C2311yescharacteristic
298C2×C22⋊Dic59C2311yescharacteristic
299C2×C22⋊Dic59C2311yescharacteristic
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×C4×Dic59C2311yescharacteristic
310C2×C4×Dic59C2311yescharacteristic
311C2×C4×Dic59C2311yescharacteristic
312C2×C4×Dic59C2311yescharacteristic
313C2×C4×Dic59C2311yescharacteristic
314C2×C4×Dic59C2311yescharacteristic
315C2×C4×Dic59C2311yescharacteristic
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
340C59⋊#95C2311yescharacteristic
341C59⋊#95C2311yescharacteristic
342C59⋊#95C2311yescharacteristic
343C59⋊#95C2311yescharacteristic
344C59⋊#95C2311yescharacteristic
345C59⋊#95C2311yescharacteristic
346C25×C59C2311yescharacteristic
347C22×D4×C59C2311yescharacteristic
348C22×D4×C59C2311yescharacteristic
349C22×D4×C59C2311yescharacteristic
350C22×D4×C59C2311yescharacteristic
351C22×D4×C59C2311yescharacteristic
352C22×D4×C59C2311yescharacteristic
353C22×D4×C59C2311yescharacteristic
354C23×C4×C59C2311yescharacteristic
355C23×C4×C59C2311yescharacteristic
356#121×C59—24no—
357#121×C59—42no—
358#120×C59—24no—
359#120×C59—42no—
360C2×C4⋊C4×C59C2311yescharacteristic
361C2×C4⋊C4×C59C2311yescharacteristic
362C2×C4⋊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×C22⋊C4×C59C2311yescharacteristic
375C2×C22⋊C4×C59C2311yescharacteristic
376C2×C22⋊C4×C59C2311yescharacteristic
377C2×C22⋊C4×C59C2311yescharacteristic
378C2×C22⋊C4×C59C2311yescharacteristic
379#95×C59C2311yescharacteristic
380#95×C59C2311yescharacteristic
381#95×C59C2311yescharacteristic
382#95×C59C2311yescharacteristic
383#95×C59C2311yescharacteristic
384#95×C59C2311yescharacteristic
385C24×C59—22no—
386C24×C59—22no—
387C24×C59—22no—
388C24×C59—41no—
389C24×C59—41no—
390C24×C59—41no—
391C24×C59—41no—
392C24×C59C2411yescharacteristic
393C24×C59C2411yescharacteristic
394C24×C59C2411yescharacteristic
395C24×C59C2411yescharacteristic
396C24×C59C2411yescharacteristic
397C23×D59C2411yescharacteristic
398C2×D4×C59—22no—
399C2×D4×C59—22no—
400C2×D4×C59—22no—
401C2×D4×C59—22no—
402C2×D4×C59—22no—
403C2×D4×C59—22no—
404C2×D4×C59—22no—
405C2×D4×C59—22no—
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×C59—41no—
413C2×D4×C59—41no—
414C2×D4×C59—41no—
415C2×D4×C59—41no—
416C2×D4×C59—41no—
417C2×D4×C59—41no—
418C2×D4×C59C2×D414yes—
419C22×C4×C59—22no—
420C22×C4×C59—41no—
421C22×C4×C59—41no—
422C22×C4×C59—41no—
423C22×C4×C59—41no—
424C22×C4×C59—41no—
425C22×C4×C59C2411yescharacteristic
426C22×C4×C59C2411yescharacteristic
427C22×C4×C59C2411yescharacteristic
428C22×C4×C59C2411yescharacteristic
429C22×C4×C59C2411yescharacteristic
430C22×C4×C59C2411yescharacteristic
431C22×C4×C59C2411yescharacteristic
432C22×C4×C59C2411yescharacteristic
433C22×C4×C59C2411yescharacteristic
434C22×C4×C59C2411yescharacteristic
435C2×C22⋊D59—22no—
436C2×C22⋊D59—22no—
437C2×C22⋊D59—22no—
438C2×C22⋊D59—22no—
439C2×C22⋊D59—22no—
440C2×C22⋊D59—22no—
441C2×C22⋊D59—22no—
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—
449C2×C22⋊D59—41no—
450C22×Dic59—22no—
451C22×Dic59—22no—
452C22×Dic59—22no—
453C22×Dic59—22no—
454C22×Dic59—22no—
455C22×Dic59—22no—
456C22×Dic59—22no—
457C22×Dic59—22no—
458C22×Dic59—22no—
459C22×Dic59—22no—
460C22×Dic59—41no—
461C22×Dic59—41no—
462C22×Dic59—41no—
463C22×Dic59—41no—
464C22×Dic59—41no—
465C22×Dic59—41no—
466C22×Dic59—41no—
467C22×Dic59—41no—
468C22×Dic59—41no—
469C22×Dic59—41no—
470C22×Dic59—41no—
471C22×Dic59—41no—
472C22×Dic59—416no—
473C22×Dic59C2×D414yes—
474C22×Dic59C2×D414yes—
475C22×Dic59C2411yescharacteristic
476C22×Dic59C2411yescharacteristic
477C22×Dic59C2411yescharacteristic
478C22×Dic59C2411yescharacteristic
479C22×Dic59C2411yescharacteristic
480C22×Dic59C2411yescharacteristic
481C22×Dic59C2411yescharacteristic
482C22×Dic59C2411yescharacteristic
483C22×Dic59C2411yescharacteristic
484C22×Dic59C2411yescharacteristic
485C22×Dic59C2411yescharacteristic
486C22×Dic59C2411yescharacteristic
487C22×Dic59C2411yescharacteristic
488C22×Dic59C2411yescharacteristic
489C22×Dic59C2411yescharacteristic
490#11745687—416no—
491C2×C4×D59—22no—
492C2×C4×D59—41no—
493C2×C4×D59—41no—
494C2×Dic118—22no—
495C2×Dic118—22no—
496C2×Dic118—22no—
497C2×Dic118—22no—
498C2×Dic118—22no—
499C2×Dic118—41no—
500C2×Dic118—41no—
501C2×Dic118—41no—
502C2×Dic118—41no—
503C2×Dic118—41no—
504C2×Dic118—41no—
505C2×Dic118—41no—
506C4⋊C4×C59—22no—
507C4⋊C4×C59—41no—
508C4⋊C4×C59—41no—
509C22⋊C4×C59—22no—
510C22⋊C4×C59—22no—
511C22⋊C4×C59—22no—
512C22⋊C4×C59—22no—
513C22⋊C4×C59—22no—
514C22⋊C4×C59—22no—
515C22⋊C4×C59—22no—
516C22⋊C4×C59—41no—
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—
524C22⋊C4×C59—41no—
525C22⋊Dic59—22no—
526C22⋊Dic59—22no—
527C22⋊Dic59—22no—
528C22⋊Dic59—22no—
529C22⋊Dic59—22no—
530C22⋊Dic59—22no—
531C22⋊Dic59—22no—
532C22⋊Dic59—22no—
533C22⋊Dic59—22no—
534C22⋊Dic59—22no—
535C22⋊Dic59—22no—
536C22⋊Dic59—22no—
537C22⋊Dic59—22no—
538C22⋊Dic59—22no—
539C22⋊Dic59—41no—
540C22⋊Dic59—41no—
541C22⋊Dic59—41no—
542C22⋊Dic59—41no—
543C22⋊Dic59—41no—
544C22⋊Dic59—41no—
545C22⋊Dic59—41no—
546C22⋊Dic59—41no—
547C22⋊Dic59—41no—
548C22⋊Dic59—41no—
549C22⋊Dic59—41no—
550C22⋊Dic59C2×D414yes—
551C22⋊Dic59C2×D414yes—
552(C2×D59)⋊C4—22no—
553(C2×D59)⋊C4—22no—
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—
561C4⋊Dic59—22no—
562C4⋊Dic59—22no—
563C4⋊Dic59—22no—
564C4⋊Dic59—22no—
565C4⋊Dic59—41no—
566C4⋊Dic59—41no—
567C4⋊Dic59—41no—
568C4⋊Dic59C2×D414yes—
569Dic59⋊C4—22no—
570Dic59⋊C4—22no—
571Dic59⋊C4—22no—
572Dic59⋊C4—22no—
573Dic59⋊C4—22no—
574Dic59⋊C4—22no—
575Dic59⋊C4—22no—
576Dic59⋊C4—22no—
577Dic59⋊C4—22no—
578Dic59⋊C4—22no—
579Dic59⋊C4—22no—
580Dic59⋊C4—22no—
581Dic59⋊C4—41no—
582Dic59⋊C4—41no—
583Dic59⋊C4—41no—
584Dic59⋊C4—41no—
585Dic59⋊C4—41no—
586Dic59⋊C4—41no—
587Dic59⋊C4—41no—
588Dic59⋊C4—41no—
589Dic59⋊C4—41no—
590C4×Dic59—22no—
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×C59—21no—
617C23×C59—21no—
618C23×C59—21no—
619C23×C59—21no—
620C23×C59—21no—
621C23×C59—21no—
622C23×C59—21no—
623C23×C59—21no—
624C23×C59—21no—
625C23×C59—21no—
626C23×C59—21no—
627C23×C59—21no—
628C23×C59—44no—
629C23×C59—44no—
630C23×C59—44no—
631C23×C59—44no—
632C23×C59—44no—
633C23×C59—44no—
634C23×C59—44no—
635C23×C59C22×D412yes—
636C23×C59C22×D412yes—
637C23×C59H(5,𝔽2)12yes—
638C23×C592−1+412yes—
639C23×C59C2511yescharacteristic
640C22×D59—21no—
641C22×D59—21no—
642C22×D59—21no—
643C22×D59—21no—
644C22×D59—21no—
645C22×D59—21no—
646C22×D59—21no—
647D4×C59—44no—
648D4×C59—44no—
649D4×C59—44no—
650D4×C59—82no—
651D4×C59—82no—
652D4×C59—82no—
653D4×C59—82no—
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—44no—
684C2×C4×C59—82no—
685C2×C4×C59C22×D412yes—
686C22⋊D59—44no—
687C22⋊D59—44no—
688C22⋊D59—44no—
689C22⋊D59—44no—
690C22⋊D59—82no—
691C2×Dic59—28no—
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—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—21no—
732C2×Dic59—44no—
733C2×Dic59—44no—
734C2×Dic59—44no—
735C2×Dic59—44no—
736C2×Dic59—44no—
737C2×Dic59—44no—
738C2×Dic59—82no—
739C2×Dic59C22×D412yes—
740C2×Dic59C22×D412yes—
741C2×Dic59C22×D412yes—
742C2×Dic59C22×D412yes—
743C2×Dic59H(5,𝔽2)12yes—
744C4×D59—44no—
745Dic118—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—22no—
757C22×C59—22no—
758C22×C59—22no—
759C22×C59—22no—
760C22×C59—22no—
761C22×C59—22no—
762C22×C59—416no—
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×C59—41no—
772C22×C59—41no—
773C22×C59—41no—
774C22×C59—41no—
775C22×C59—41no—
776C22×C59—41no—
777C22×C59—41no—
778C22×C59—41no—
779C22×C59—41no—
780C22×C59—41no—
781C22×C59—41no—
782C22×C59—41no—
783C22×C59—41no—
784C22×C59—41no—
785C22×C59—41no—
786C22×C59C23×D411yescharacteristic
787C22×C59C2×H(5,𝔽2)11yescharacteristic
788C22×C59C2×H(5,𝔽2)11yescharacteristic
789C22×C59C2×2−1+411yescharacteristic
790C22×C59#58511yescharacteristic
791C22×C59#58511yescharacteristic
792C22×C59#58511yescharacteristic
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—41no—
802C4×C59—41no—
803C4×C59—41no—
804C4×C59—41no—
805C4×C59—41no—
806C4×C59—41no—
807C4×C59—41no—
808C4×C59—41no—
809C4×C59—41no—
810Dic59—22no—
811Dic59—22no—
812Dic59—22no—
813Dic59—22no—
814Dic59—22no—
815Dic59—41no—
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#2686—591no—
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#2668D5911yescharacteristic, complemented
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—42no—
859C2×C59—42no—
860C2×C59—81no—
861C2×C59#344911yescharacteristic
862C2×C59#348411yescharacteristic
863C2×C59#348911yescharacteristic
864C2×C59#353311yescharacteristic
865C2×C59#353511yescharacteristic
866C2×C59#354011yescharacteristic
867C2×C59#354111yescharacteristic
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×#124—591no—
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×#121C2×D5911yescharacteristic
897C2×#121C2×D5911yescharacteristic
898C2×#120—591no—
899C2×#120C2×D5911yescharacteristic
900C2×#120C2×D5911yescharacteristic
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#399C2×D5911yescharacteristic
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#397C2×D5911yescharacteristic
923#397C2×D5911yescharacteristic
924#396—591no—
925#396—591no—
926#396—591no—
927#396—591no—
928#395—591no—
929#395—591no—
930#395—591no—
931#395—591no—
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#394—591no—
944#394C2×D5911yescharacteristic
945#394C2×D5911yescharacteristic
946#393—591no—
947#393—591no—
948#393—591no—
949#393—591no—
950#393—591no—
951#393—591no—
952#392—591no—
953#392—591no—
954#392—591no—
955#392C2×D5911yescharacteristic
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#388—591no—
974#387—591no—
975#387—591no—
976#387—591no—
977#387—591no—
978#387—591no—
979#387—591no—
980#387—591no—
981#387—591no—
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#386C2×D5911yescharacteristic
993#386C2×D5911yescharacteristic
994#386C2×D5911yescharacteristic
995#386C2×D5911yescharacteristic
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#385—591no—
1012#383—591no—
1013#382—591no—
1014#381—591no—
1015#381—591no—
1016#380—591no—
1017#380—591no—
1018#380—591no—
1019#380—591no—
1020#380—591no—
1021#379—591no—
1022#379—591no—
1023#379C2×D5911yescharacteristic
1024C4×C22⋊C4—591no—
1025C2×#95—591no—
1026C59#3671211yescharacteristic, complemented, Sylow
1027C25C22×D5911yescharacteristic
1028C2×#41—1184no—
1029C2×#41—2362no—
1030C2×#41—2362no—
1031C22×Q8—591no—
1032C22×Q8—591no—
1033C22×Q8—591no—
1034C22×Q8—591no—
1035C22×D4—591no—
1036C22×D4—591no—
1037C22×D4—591no—
1038C22×D4—591no—
1039C22×D4—591no—
1040C22×D4C22×D5911yescharacteristic
1041C22×D4C22×D5911yescharacteristic
1042C22×D4C22×D5911yescharacteristic
1043C22×D4C22×D5911yescharacteristic
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—1184no—
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—42no—
1083#121—1184no—
1084#121—1184no—
1085#121—2362no—
1086#120—24no—
1087#120—42no—
1088#120—1184no—
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⋊C4—591no—
1124C2×C4⋊C4—591no—
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⋊C4C22×D5911yescharacteristic
1165C2×C22⋊C4C22×D5911yescharacteristic
1166C2×C22⋊C4C22×D5911yescharacteristic
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×C42—591no—
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#95—591no—
1214#95—591no—
1215#95—591no—
1216#95—591no—
1217#95C22×D5911yescharacteristic
1218#95C22×D5911yescharacteristic
1219#95C22×D5911yescharacteristic
1220#95C22×D5911yescharacteristic
1221#95C22×D5911yescharacteristic
1222#95C22×D5911yescharacteristic
1223C24—22no—
1224C24—22no—
1225C24—22no—
1226C24—41no—
1227C24—41no—
1228C24—41no—
1229C24—41no—
1230C24—591no—
1231C24C23×D5911yescharacteristic
1232C24C23×D5911yescharacteristic
1233C24C23×D5911yescharacteristic
1234C24C23×D5911yescharacteristic
1235C24C23×D5911yescharacteristic
1236#41—23616no—
1237C2×Q8—1182no—
1238C2×Q8—1182no—
1239C2×Q8—1182no—
1240C2×Q8—1182no—
1241C2×Q8—1182no—
1242C2×Q8—2361no—
1243C2×Q8—2361no—
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—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—1182no—
1270C2×D4—1182no—
1271C2×D4—1182no—
1272C2×D4—1182no—
1273C2×D4—1182no—
1274C2×D4—1182no—
1275C2×D4—1182no—
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—41no—
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—591no—
1296C22×C4—594no—
1297C22×C4—594no—
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—591no—
1307C22×C4—591no—
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—1182no—
1317C22×C4—1182no—
1318C22×C4—1182no—
1319C22×C4—2361no—
1320C22×C4—2361no—
1321C22×C4—2361no—
1322C22×C4—2361no—
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×C4—2361no—
1333C22×C4—23616no—
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—41no—
1346C4⋊C4—41no—
1347C4⋊C4—594no—
1348C4⋊C4—1182no—
1349C4⋊C4—1182no—
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—2361no—
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—22no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—594no—
1393C22⋊C4—594no—
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—1182no—
1409C22⋊C4—1182no—
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—594no—
1429C42—1182no—
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—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—44no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23—44no—
1472C23—44no—
1473C23—1181no—
1474C23—1181no—
1475C23—1181no—
1476C23—1181no—
1477C23—1181no—
1478C23—1181no—
1479C23—1181no—
1480C23C2×D4×D5912yes—
1481C23C2×D4×D5912yes—
1482C23#1427377212yes—
1483C23#1427377412yes—
1484C23C24×D5911yescharacteristic
1485Q8—4722no—
1486Q8—4722no—
1487Q8—2364no—
1488Q8—2364no—
1489D4—44no—
1490D4—44no—
1491D4—44no—
1492D4—82no—
1493D4—82no—
1494D4—82no—
1495D4—82no—
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—44no—
1531C2×C4—82no—
1532C2×C4—592no—
1533C2×C4—592no—
1534C2×C4—592no—
1535C2×C4—592no—
1536C2×C4—592no—
1537C2×C4—1188no—
1538C2×C4—1181no—
1539C2×C4—1181no—
1540C2×C4—1181no—
1541C2×C4—1181no—
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—1181no—
1578C2×C4—4722no—
1579C2×C4—2364no—
1580C2×C4—2364no—
1581C2×C4—2364no—
1582C2×C4—2364no—
1583C2×C4—2364no—
1584C2×C4—2364no—
1585C2×C4—2364no—
1586C2×C4C2×D4×D5912yes—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—416no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—2361no—
1624C22—2361no—
1625C22—2361no—
1626C22—2361no—
1627C22—2361no—
1628C22—2361no—
1629C22—2361no—
1630C22C22×D4×D5911yescharacteristic
1631C22H(5,𝔽2)×D5911yescharacteristic
1632C22C2×#1427377211yescharacteristic
1633C22C2×#1427377411yescharacteristic
1634C22#1683823711yescharacteristic
1635C22#1683823711yescharacteristic
1636C22#1683823711yescharacteristic
1637C4—22no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—1182no—
1648C4—1182no—
1649C4—1182no—
1650C4—1182no—
1651C4—1182no—
1652C4—2361no—
1653C4—2361no—
1654C4—2361no—
1655C4—2361no—
1656C4—2361no—
1657C4—2361no—
1658C4—2361no—
1659C4—2361no—
1660C4—2361no—
1661C4—2361no—
1662C2—42no—
1663C2—42no—
1664C2—42no—
1665C2—42no—
1666C2—81no—
1667C2—4721no—
1668C2#2143742211yescharacteristic
1669C2#2143772411yescharacteristic
1670C2#2143776711yescharacteristic
1671C2#2143825711yescharacteristic
1672C2#2143829311yescharacteristic
1673C2#2143836311yescharacteristic
1674C2#2143837611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2668C2
hypercenter#2668D59
hypocenterC59#36712
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×#16837908C2semidirect
3. #21432386C2semidirect
4. #21432381C2semidirect
5. #21430649C2semidirect
6. #21430630C2semidirect
7. #21430593C2semidirect
8. #21430574C2semidirect
9. #21430553C2semidirect
10. #21430500C2semidirect
11. #21430491C2semidirect
12. #21430474C2semidirect
13. #21430412C2semidirect
14. #21430390C2semidirect
15. #21430383C2semidirect
16. #21430379C2semidirect
17. #21430341C2semidirect
18. #21430326C2semidirect
19. #21430318C2semidirect
20. #21430015C2semidirect
21. #21429936C2semidirect
22. #21429770C2semidirect
23. #21429701C2semidirect
24. #21429674C2semidirect
25. #21429658C2semidirect
26. #21429451C2semidirect
27. #21429280C2semidirect
28. #21427719C2semidirect
29. #21427702C2semidirect
30. #21426722C2semidirect
31. C59×#2668C2semidirect
35. C2×#14273726C22semidirect
36. C2×#14273726C22semidirect
38. C2×#14273720C22semidirect
41. C2×#14273714C22semidirect
48. C2×#14273708C22semidirect
49. C2×#14273706C22semidirect
55. C2×#14273704C22semidirect
58. C2×#14273699C22semidirect
60. C2×#14273692C22semidirect
65. C2×#14273686C22semidirect
67. #16837344C22semidirect
68. #16837344C22semidirect
70. #16837338C22semidirect
71. #16837337C22semidirect
72. #16837336C22semidirect
73. #16837336C22semidirect
74. #16837333C22semidirect
75. #16837333C22semidirect
76. #16837331C22semidirect
79. #16837327C22semidirect
80. #16837326C22semidirect
82. #16837325C22semidirect
83. #16837325C22semidirect
84. #16837323C22semidirect
85. #16837323C22semidirect
86. #16837322C22semidirect
87. #16837322C22semidirect
91. #16837318C22semidirect
94. #16837317C22semidirect
95. #16837317C22semidirect
99. #16837316C22semidirect
100. #16837315C22semidirect
101. #16837315C22semidirect
105. #16837314C22semidirect
109. #16837306C22semidirect
114. #16837299C22semidirect
115. #16837297C22semidirect
116. #16837297C22semidirect
118. #16837296C22semidirect
121. #16837295C22semidirect
122. #16837294C22semidirect
127. #16837289C22semidirect
128. #16837287C22semidirect
129. #16837287C22semidirect
130. #16837285C22semidirect
131. #16837285C22semidirect
132. #16837285C22semidirect
133. #16837284C22semidirect
134. #16837284C22semidirect
142. #16837281C22semidirect
143. #16837281C22semidirect
144. #16837278C22semidirect
148. #16837276C22semidirect
149. #16837275C22semidirect
150. #16837275C22semidirect
158. #16837274C22semidirect
159. #16837273C22semidirect
160. #16837273C22semidirect
161. #16837269C22semidirect
162. #16837266C22semidirect
165. #16837262C22semidirect
169. #16837260C22semidirect
172. C22⋊C4×Dic59C22semidirect
173. C2×C59⋊#95C22semidirect
239. D4×Dic59D4semidirect
844. #2668D59semidirect
1026. C59#36712semidirect

Maximal subgroups

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

subgroupindex
C2×#168380192
C2×#168379082
#214323862
#214323812
#214306492
#214306302
#214305932
#214305742
#214305532
#214305002
#214304912
#214304742
#214304122
#214303902
#214303832
#214303792
#214303412
#214303262
#214303182
#214300152
#214299362
#214297702
#214297012
#214296742
#214296582
#214294512
#214292802
#214277192
#214277022
#214267222
C59×#26682
#3671259