Finite Group Databasebeta

← #28795836

Subgroups — #28795836

Order 15104.

2214 conjugacy classes of subgroups.

The subgroup lattice has 1706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432379C211yesmaximal, characteristic, complemented
2#21432377C211yesmaximal, characteristic, complemented
3#21431310C211yesmaximal, characteristic, complemented
4#21431308C211yesmaximal, characteristic, complemented
5#21431304C211yesmaximal, characteristic, complemented
6#21431304C211yesmaximal, characteristic, complemented
7#21431212C211yesmaximal, characteristic, complemented
8#21431208C211yesmaximal, characteristic, complemented
9#21431207C211yesmaximal, characteristic, complemented
10#21430741C211yesmaximal, characteristic, complemented
11#21430738C211yesmaximal, characteristic, complemented
12#21430737C211yesmaximal, characteristic, complemented
13#21430734C211yesmaximal, characteristic, complemented
14#21430331C211yesmaximal, characteristic, complemented
15#21430330C211yesmaximal, characteristic, complemented
16#21430329C211yesmaximal, characteristic, complemented
17#21430325C211yesmaximal, characteristic, complemented
18#21430199C211yesmaximal, characteristic, complemented
19#21430067C211yesmaximal, characteristic, complemented
20#21427838C211yesmaximal, characteristic, complemented
21#21427836C211yesmaximal, characteristic, complemented
22#21427832C211yesmaximal, characteristic, complemented
23#21427826C211yesmaximal, characteristic, complemented
24#21427637C211yesmaximal, characteristic, complemented
25#21427637C211yesmaximal, characteristic, complemented
26#21427633C211yesmaximal, characteristic, complemented
27#21427625C211yesmaximal, characteristic, complemented
28#21426800C211yesmaximal, characteristic, complemented
29#21426795C211yesmaximal, characteristic, complemented
30#380×D59C211yesmaximal, characteristic, complemented
31C59×#2741C211yesmaximal, characteristic, complemented
32C23×C4×D59C2211yescharacteristic
33C2×#14273712C2211yescharacteristic, complemented
34C2×#14273712C2211yescharacteristic, complemented
35C2×#14273711C2211yescharacteristic, complemented
36C2×#14273709C2211yescharacteristic, complemented
37C2×#14273702C2211yescharacteristic
38C2×#14273702C2211yescharacteristic
39C2×#14273702C2211yescharacteristic
40C2×#14273702C2211yescharacteristic
41C2×#14273701C2211yescharacteristic
42C2×#14273700C2211yescharacteristic
43C2×#14273700C2211yescharacteristic
44C2×#14273700C2211yescharacteristic
45C2×#14273700C2211yescharacteristic
46C2×#14273700C2211yescharacteristic
47C2×#14273700C2211yescharacteristic
48C2×#14273699C2211yescharacteristic
49C2×#14273699C2211yescharacteristic
50C2×#14273698C2211yescharacteristic
51C2×#14273697C2211yescharacteristic
52C2×#14273697C2211yescharacteristic
53C2×#14273697C2211yescharacteristic
54C2×#14273695C2211yescharacteristic
55C2×C4×D236C2211yescharacteristic
56C2×C4×D236C2211yescharacteristic
57C2×#14273689C2211yescharacteristic
58C2×(C22⋊D59)⋊C4C2211yescharacteristic
59C2×C4⋊C4×D59C2211yescharacteristic
60C2×C4⋊C4×D59C2211yescharacteristic
61C2×C22⋊C4×D59C2211yescharacteristic
62C2×C22⋊C4×D59C2211yescharacteristic
63#16837343C2211yescharacteristic, complemented
64#16837342C2211yescharacteristic, complemented
65#16837341C2211yescharacteristic, complemented
66#16837339C2211yescharacteristic, complemented
67#16837338C2211yescharacteristic, complemented
68#16837337C2211yescharacteristic, complemented
69#16837337C2211yescharacteristic, complemented
70#16837337C2211yescharacteristic, complemented
71#16837337C2211yescharacteristic, complemented
72#16837337C2211yescharacteristic, complemented
73#16837336C2211yescharacteristic, complemented
74#16837336C2211yescharacteristic, complemented
75#16837336C2211yescharacteristic, complemented
76#16837335C2211yescharacteristic, complemented
77#16837334C2211yescharacteristic, complemented
78#16837334C2211yescharacteristic, complemented
79#16837332C2211yescharacteristic, complemented
80#16837331C2211yescharacteristic, complemented
81#16837331C2211yescharacteristic, complemented
82#16837329C2211yescharacteristic, complemented
83#16837326C2211yescharacteristic
84#16837324C2211yescharacteristic
85#16837324C2211yescharacteristic
86#16837324C2211yescharacteristic
87#16837320C2211yescharacteristic, complemented
88#16837319C2211yescharacteristic, complemented
89#16837318C2211yescharacteristic
90#16837318C2211yescharacteristic
91#16837318C2211yescharacteristic
92#16837318C2211yescharacteristic
93#16837318C2211yescharacteristic, complemented
94#16837317C2211yescharacteristic
95#16837317C2211yescharacteristic
96#16837317C2211yescharacteristic, complemented
97#16837312C2211yescharacteristic
98#16837312C2211yescharacteristic
99#16837312C2211yescharacteristic, complemented
100#16837311C2211yescharacteristic
101#16837311C2211yescharacteristic
102#16837311C2211yescharacteristic, complemented
103#16837311C2211yescharacteristic, complemented
104#16837311C2211yescharacteristic, complemented
105#16837304C2211yescharacteristic
106#16837304C2211yescharacteristic
107#16837303C2211yescharacteristic
108#16837302C2211yescharacteristic
109#16837296C2211yescharacteristic
110#16837294C2211yescharacteristic, complemented
111#16837293C2211yescharacteristic, complemented
112#16837293C2211yescharacteristic, complemented
113#16837292C2211yescharacteristic, complemented
114#16837291C2211yescharacteristic, complemented
115#16837291C2211yescharacteristic, complemented
116#16837290C2211yescharacteristic
117#16837289C2211yescharacteristic, complemented
118#16837288C2211yescharacteristic, complemented
119#16837286C2211yescharacteristic, complemented
120#16837286C2211yescharacteristic, complemented
121#16837285C2211yescharacteristic, complemented
122#16837283C2211yescharacteristic, complemented
123#16837281C2211yescharacteristic
124#16837280C2211yescharacteristic
125#16837280C2211yescharacteristic
126#16837280C2211yescharacteristic
127#16837280C2211yescharacteristic
128#16837280C2211yescharacteristic
129#16837280C2211yescharacteristic
130#16837280C2211yescharacteristic
131#16837280C2211yescharacteristic
132#16837280C2211yescharacteristic
133#16837280C2211yescharacteristic
134#16837280C2211yescharacteristic
135#16837280C2211yescharacteristic
136#16837280C2211yescharacteristic, complemented
137#16837280C2211yescharacteristic, complemented
138#16837279C2211yescharacteristic
139#16837279C2211yescharacteristic
140#16837279C2211yescharacteristic
141#16837279C2211yescharacteristic, complemented
142#16837278C2211yescharacteristic
143#16837278C2211yescharacteristic
144#16837278C2211yescharacteristic
145#16837278C2211yescharacteristic, complemented
146#16837277C2211yescharacteristic, complemented
147#16837276C2211yescharacteristic
148#16837276C2211yescharacteristic
149#16837276C2211yescharacteristic
150#16837276C2211yescharacteristic, complemented
151#16837276C2211yescharacteristic, complemented
152#16837276C2211yescharacteristic, complemented
153#16837276C2211yescharacteristic, complemented
154#16837274C2211yescharacteristic, complemented
155#16837273C2211yescharacteristic
156#16837273C2211yescharacteristic, complemented
157#16837273C2211yescharacteristic, complemented
158#16837262C2211yescharacteristic
159#16837261C2211yescharacteristic
160#16837261C2211yescharacteristic
161#16837261C2211yescharacteristic
162#16837261C2211yescharacteristic
163#16837260C2211yescharacteristic
164#16837260C2211yescharacteristic
165#16837260C2211yescharacteristic
166#16837259C2211yescharacteristic
167#16837259C2211yescharacteristic
168#16837259C2211yescharacteristic
169#16837259C2211yescharacteristic
170#95×D59C2211yescharacteristic
171#95×D59C2211yescharacteristic
172C59×#400C2211yescharacteristic, complemented
173C59×#399C2211yescharacteristic, complemented
174C59×#398C2211yescharacteristic, complemented
175C59×#397C2211yescharacteristic, complemented
176C59×#394C2211yescharacteristic
177C59×#394C2211yescharacteristic
178C59×#388C2211yescharacteristic
179C59×#388C2211yescharacteristic
180C59×#388C2211yescharacteristic, complemented
181C59×#388C2211yescharacteristic, complemented
182C59×#387C2211yescharacteristic, complemented
183C59×#387C2211yescharacteristic, complemented
184C59×#386C2211yescharacteristic
185C59×#380C2211yescharacteristic
186C59×#380C2211yescharacteristic
187C24×D59C2311yescharacteristic
188C22×D236C2311yescharacteristic
189C22×D236C2311yescharacteristic
190C22×D236C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C22×C22⋊D59C2311yescharacteristic
205C23×Dic59C2311yescharacteristic
206C23×Dic59C2311yescharacteristic
207C22×C4×D59—24no—
208C22×C4×D59—42no—
209C22×C4×D59—42no—
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215C22×C4×D59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219C22×C4×D59C2311yescharacteristic
220C22×C4×D59C2311yescharacteristic
221#14273712—42no—
222#14273712—42no—
223#14273711—42no—
224#14273709—42no—
225#14273702—24no—
226#14273702—42no—
227#14273702—42no—
228#14273702—42no—
229#14273701—42no—
230#14273700—24no—
231#14273700—42no—
232#14273700—42no—
233#14273700—42no—
234#14273700—42no—
235#14273700—42no—
236#14273699—42no—
237#14273699—42no—
238#14273698—42no—
239#14273697—42no—
240#14273697—42no—
241#14273697—42no—
242#14273695—42no—
243C4×D236—42no—
244C4×D236—42no—
245#14273689—42no—
246(C22⋊D59)⋊C4—42no—
247C2×C4⋊Dic59C2311yescharacteristic
248C2×C4⋊Dic59C2311yescharacteristic
249C2×C4⋊Dic59C2311yescharacteristic
250C2×C4⋊Dic59C2311yescharacteristic
251C2×C4⋊Dic59C2311yescharacteristic
252C2×C4⋊Dic59C2311yescharacteristic
253C2×C4⋊Dic59C2311yescharacteristic
254C2×C4⋊Dic59C2311yescharacteristic
255C2×Dic59⋊C4C2311yescharacteristic
256C2×Dic59⋊C4C2311yescharacteristic
257C2×Dic59⋊C4C2311yescharacteristic
258C2×Dic59⋊C4C2311yescharacteristic
259C2×Dic59⋊C4C2311yescharacteristic
260C2×Dic59⋊C4C2311yescharacteristic
261C2×Dic59⋊C4C2311yescharacteristic
262C2×Dic59⋊C4C2311yescharacteristic
263C2×Dic59⋊C4C2311yescharacteristic
264C2×Dic59⋊C4C2311yescharacteristic
265C2×Dic59⋊C4C2311yescharacteristic
266C2×Dic59⋊C4C2311yescharacteristic
267C2×Dic59⋊C4C2311yescharacteristic
268C2×Dic59⋊C4C2311yescharacteristic
269C4⋊C4×D59—42no—
270C4⋊C4×D59—42no—
271C2×C22⋊Dic59C2311yescharacteristic
272C2×C22⋊Dic59C2311yescharacteristic
273C2×C22⋊Dic59C2311yescharacteristic
274C2×C22⋊Dic59C2311yescharacteristic
275C2×C22⋊Dic59C2311yescharacteristic
276C2×(C2×D59)⋊C4C2311yescharacteristic
277C2×(C2×D59)⋊C4C2311yescharacteristic
278C2×(C2×D59)⋊C4C2311yescharacteristic
279C2×(C2×D59)⋊C4C2311yescharacteristic
280C2×(C2×D59)⋊C4C2311yescharacteristic
281C2×(C2×D59)⋊C4C2311yescharacteristic
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×(C2×D59)⋊C4C2311yescharacteristic
299C2×(C2×D59)⋊C4C2311yescharacteristic
300C2×(C2×D59)⋊C4C2311yescharacteristic
301C2×(C2×D59)⋊C4C2311yescharacteristic
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C2×(C2×D59)⋊C4C2311yescharacteristic
304C2×(C2×D59)⋊C4C2311yescharacteristic
305C2×(C2×D59)⋊C4C2311yescharacteristic
306C2×(C2×D59)⋊C4C2311yescharacteristic
307C2×(C2×D59)⋊C4C2311yescharacteristic
308C2×(C2×D59)⋊C4C2311yescharacteristic
309C2×(C2×D59)⋊C4C2311yescharacteristic
310C2×(C2×D59)⋊C4C2311yescharacteristic
311C2×(C2×D59)⋊C4C2311yescharacteristic
312C22⋊C4×D59—42no—
313C22⋊C4×D59—42no—
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
340C22×D4×C59C2311yescharacteristic
341C23×C4×C59C2311yescharacteristic
342C2×C4⋊C4×C59C2311yescharacteristic
343C2×C4⋊C4×C59C2311yescharacteristic
344C2×C4⋊C4×C59C2311yescharacteristic
345C2×C4⋊C4×C59C2311yescharacteristic
346C2×C4⋊C4×C59C2311yescharacteristic
347C2×C4⋊C4×C59C2311yescharacteristic
348C2×C4⋊C4×C59C2311yescharacteristic
349C2×C4⋊C4×C59C2311yescharacteristic
350C2×C22⋊C4×C59C2311yescharacteristic
351C2×C22⋊C4×C59C2311yescharacteristic
352C2×C22⋊C4×C59C2311yescharacteristic
353C2×C22⋊C4×C59C2311yescharacteristic
354C2×C22⋊C4×C59C2311yescharacteristic
355C2×C22⋊C4×C59C2311yescharacteristic
356C2×C22⋊C4×C59C2311yescharacteristic
357C2×C22⋊C4×C59C2311yescharacteristic
358C2×C22⋊C4×C59C2311yescharacteristic
359C2×C22⋊C4×C59C2311yescharacteristic
360C2×C22⋊C4×C59C2311yescharacteristic
361C2×C42×C59C2311yescharacteristic
362C2×C42×C59C2311yescharacteristic
363#95×C59C2311yescharacteristic
364#95×C59C2311yescharacteristic
365#95×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369#95×C59C2311yescharacteristic
370#95×C59C2311yescharacteristic
371#95×C59C2311yescharacteristic
372#95×C59C2311yescharacteristic
373#95×C59C2311yescharacteristic
374#95×C59C2311yescharacteristic
375C24×C59C2411yescharacteristic
376C24×C59C2411yescharacteristic
377C23×D59—22no—
378C23×D59—22no—
379C23×D59—22no—
380C23×D59—22no—
381C23×D59—22no—
382C23×D59—41no—
383C23×D59—41no—
384C23×D59C2411yescharacteristic
385C23×D59C2411yescharacteristic
386C23×D59C2411yescharacteristic
387C23×D59C2411yescharacteristic
388C23×D59C2411yescharacteristic
389C2×D4×C59—22no—
390C2×D4×C59—41no—
391C2×D4×C59—41no—
392C22×C4×C59—22no—
393C22×C4×C59—22no—
394C22×C4×C59—41no—
395C22×C4×C59C2411yescharacteristic
396C22×C4×C59C2411yescharacteristic
397C22×C4×C59C2411yescharacteristic
398C22×C4×C59C2411yescharacteristic
399C22×C4×C59C2411yescharacteristic
400C22×C4×C59C2411yescharacteristic
401C22×C4×C59C2411yescharacteristic
402C22×C4×C59C2411yescharacteristic
403C22×C4×C59C2411yescharacteristic
404C22×C4×C59C2411yescharacteristic
405C22×C4×C59C2411yescharacteristic
406C22×C4×C59C2411yescharacteristic
407C22×C4×C59C2411yescharacteristic
408C2×C22⋊D59—22no—
409C2×C22⋊D59—22no—
410C2×C22⋊D59—22no—
411C2×C22⋊D59—22no—
412C2×C22⋊D59—22no—
413C2×C22⋊D59—22no—
414C2×C22⋊D59—22no—
415C2×C22⋊D59—22no—
416C2×C22⋊D59—41no—
417C2×C22⋊D59—41no—
418C2×C22⋊D59—41no—
419C2×C22⋊D59—41no—
420C2×C22⋊D59—41no—
421C2×C22⋊D59—41no—
422C2×C22⋊D59—41no—
423C2×C22⋊D59—41no—
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—
432C22×Dic59—22no—
433C22×Dic59—22no—
434C22×Dic59—41no—
435C22×Dic59—41no—
436C22×Dic59—41no—
437C22×Dic59—41no—
438C22×Dic59C2411yescharacteristic
439C22×Dic59C2411yescharacteristic
440C22×Dic59C2411yescharacteristic
441C22×Dic59C2411yescharacteristic
442C22×Dic59C2411yescharacteristic
443C22×Dic59C2411yescharacteristic
444C22×Dic59C2411yescharacteristic
445C22×Dic59C2411yescharacteristic
446C22×Dic59C2411yescharacteristic
447C22×Dic59C2411yescharacteristic
448C22×Dic59C2411yescharacteristic
449C2×D236—22no—
450C2×D236—22no—
451C2×D236—22no—
452C2×D236—22no—
453C2×D236—22no—
454C2×D236—22no—
455C2×D236—22no—
456C2×D236—22no—
457C2×D236—22no—
458C2×D236—22no—
459C2×D236—22no—
460C2×D236—22no—
461C2×D236—22no—
462C2×D236—41no—
463C2×D236—41no—
464C2×D236—41no—
465C2×D236—41no—
466C2×D236—41no—
467C2×D236—41no—
468C2×D236—41no—
469C2×D236—41no—
470C2×D236—41no—
471C2×D236—41no—
472C2×D236—41no—
473C2×D236—41no—
474C2×D236—41no—
475C2×D236—41no—
476C2×C4×D59—22no—
477C2×C4×D59—22no—
478C2×C4×D59—22no—
479C2×C4×D59—22no—
480C2×C4×D59—22no—
481C2×C4×D59—22no—
482C2×C4×D59—22no—
483C2×C4×D59—22no—
484C2×C4×D59—22no—
485C2×C4×D59—22no—
486C2×C4×D59—22no—
487C2×C4×D59—416no—
488C2×C4×D59—41no—
489C2×C4×D59—41no—
490C2×C4×D59—41no—
491C2×C4×D59—41no—
492C2×C4×D59—41no—
493C2×C4×D59—41no—
494C2×C4×D59—41no—
495C2×C4×D59—41no—
496C2×C4×D59—41no—
497C2×C4×D59—41no—
498C2×C4×D59—41no—
499C2×C4×D59—41no—
500C2×C4×D59—41no—
501C2×C4×D59—41no—
502C2×C4×D59—41no—
503C2×C4×D59—41no—
504C2×C4×D59—41no—
505C2×C4×D59—41no—
506C2×C4×D59—41no—
507C2×C4×D59—41no—
508C2×C4×D59—41no—
509C2×C4×D59#4114yes—
510C4⋊C4×C59—22no—
511C4⋊C4×C59—22no—
512C4⋊C4×C59—41no—
513C4⋊C4×C59—41no—
514C4⋊C4×C59—41no—
515C4⋊C4×C59—41no—
516C4⋊C4×C59—41no—
517C4⋊C4×C59—41no—
518C22⋊C4×C59—22no—
519C22⋊C4×C59—22no—
520C22⋊C4×C59—22no—
521C22⋊C4×C59—22no—
522C22⋊C4×C59—41no—
523C22⋊C4×C59—41no—
524C22⋊C4×C59—41no—
525C22⋊C4×C59—41no—
526C22⋊C4×C59—41no—
527C22⋊C4×C59—41no—
528C22⋊C4×C59—41no—
529C42×C59—41no—
530C42×C59—41no—
531C22⋊Dic59—22no—
532C22⋊Dic59—22no—
533C22⋊Dic59—22no—
534C22⋊Dic59—41no—
535C22⋊Dic59—41no—
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—22no—
542(C2×D59)⋊C4—22no—
543(C2×D59)⋊C4—22no—
544(C2×D59)⋊C4—22no—
545(C2×D59)⋊C4—22no—
546(C2×D59)⋊C4—22no—
547(C2×D59)⋊C4—22no—
548(C2×D59)⋊C4—22no—
549(C2×D59)⋊C4—41no—
550(C2×D59)⋊C4—41no—
551(C2×D59)⋊C4—41no—
552(C2×D59)⋊C4—41no—
553(C2×D59)⋊C4—41no—
554(C2×D59)⋊C4—41no—
555(C2×D59)⋊C4—41no—
556(C2×D59)⋊C4—41no—
557(C2×D59)⋊C4—41no—
558(C2×D59)⋊C4—41no—
559(C2×D59)⋊C4—41no—
560(C2×D59)⋊C4—41no—
561(C2×D59)⋊C4—41no—
562(C2×D59)⋊C4—41no—
563(C2×D59)⋊C4—41no—
564(C2×D59)⋊C4—41no—
565(C2×D59)⋊C4—41no—
566(C2×D59)⋊C4—41no—
567(C2×D59)⋊C4—41no—
568(C2×D59)⋊C4—41no—
569(C2×D59)⋊C4—41no—
570(C2×D59)⋊C4—41no—
571(C2×D59)⋊C4—41no—
572C4⋊Dic59—22no—
573C4⋊Dic59—41no—
574C4⋊Dic59—41no—
575C4⋊Dic59—41no—
576C4⋊Dic59—41no—
577C4⋊Dic59—41no—
578C4⋊Dic59—41no—
579C4⋊Dic59—41no—
580Dic59⋊C4—22no—
581Dic59⋊C4—22no—
582Dic59⋊C4—22no—
583Dic59⋊C4—41no—
584Dic59⋊C4—41no—
585Dic59⋊C4—41no—
586Dic59⋊C4—41no—
587Dic59⋊C4—41no—
588Dic59⋊C4—41no—
589Dic59⋊C4—41no—
590Dic59⋊C4—41no—
591Dic59⋊C4—41no—
592Dic59⋊C4—41no—
593Dic59⋊C4—41no—
594C4×Dic59—41no—
595C4×Dic59—41no—
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×C59H(5,𝔽2)12yes—
610C23×C59C2511yescharacteristic
611C22×D59—21no—
612C22×D59—21no—
613C22×D59—21no—
614C22×D59—21no—
615C22×D59—28no—
616C22×D59—21no—
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×D59—21no—
631C22×D59—21no—
632C22×D59—21no—
633C22×D59—21no—
634C22×D59—21no—
635C22×D59—21no—
636C22×D59—21no—
637C22×D59—21no—
638C22×D59—21no—
639C22×D59—21no—
640C22×D59—21no—
641C22×D59—21no—
642C22×D59—21no—
643C22×D59—44no—
644C22×D59—44no—
645C22×D59—44no—
646C22×D59—44no—
647C22×D59—44no—
648C22×D59—44no—
649C22×D59C2×#4112yes—
650C22×D59H(5,𝔽2)12yes—
651C22×D59H(5,𝔽2)12yes—
652C22×D592−1+412yes—
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—21no—
684C2×C4×C59—21no—
685C2×C4×C59—21no—
686C2×C4×C59—21no—
687C2×C4×C59—21no—
688C2×C4×C59—21no—
689C2×C4×C59—21no—
690C2×C4×C59—21no—
691C2×C4×C59—44no—
692C2×C4×C59C2×#4112yes—
693C2×C4×C59H(5,𝔽2)12yes—
694C22⋊D59—44no—
695C22⋊D59—82no—
696C22⋊D59—82no—
697C22⋊D59—82no—
698C22⋊D59—82no—
699C22⋊D59—82no—
700C22⋊D59—82no—
701C22⋊D59—82no—
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—21no—
733C2×Dic59—44no—
734C2×Dic59—82no—
735C2×Dic59C2×#4112yes—
736C2×Dic59H(5,𝔽2)12yes—
737D236—44no—
738D236—44no—
739D236—44no—
740D236—82no—
741D236—82no—
742D236—82no—
743D236—82no—
744D236—82no—
745D236—82no—
746C4×D59—28no—
747C4×D59—44no—
748C4×D59—44no—
749C4×D59—44no—
750C4×D59—82no—
751C4×D59—82no—
752C4×D59—82no—
753C4×D59—82no—
754C4×D59—82no—
755C4×D59—82no—
756C4×D59—82no—
757#36727—591nomaximal, Sylow
758C22×C59—22no—
759C22×C59—22no—
760C22×C59—22no—
761C22×C59—41no—
762C22×C59—41no—
763C22×C59—41no—
764C22×C59—41no—
765C22×C59—41no—
766C22×C59—41no—
767C22×C59—41no—
768C22×C59—41no—
769C22×C59—41no—
770C22×C59—41no—
771C22×C59—41no—
772C22×C59C22×#4111yescharacteristic
773C22×C59C2×H(5,𝔽2)11yescharacteristic
774C22×C59C2×H(5,𝔽2)11yescharacteristic
775C22×C59C2×H(5,𝔽2)11yescharacteristic
776C22×C59C2×H(5,𝔽2)11yescharacteristic
777C22×C59C2×H(5,𝔽2)11yescharacteristic
778C22×C59C2×2−1+411yescharacteristic
779C2×D59—22no—
780C2×D59—22no—
781C2×D59—22no—
782C2×D59—22no—
783C2×D59—22no—
784C2×D59—22no—
785C2×D59—22no—
786C2×D59—22no—
787C2×D59—22no—
788C2×D59—416no—
789C2×D59—41no—
790C2×D59—41no—
791C2×D59—41no—
792C2×D59—41no—
793C2×D59—41no—
794C2×D59—41no—
795C2×D59—41no—
796C2×D59—41no—
797C2×D59—41no—
798C2×D59—41no—
799C2×D59—41no—
800C2×D59—41no—
801C2×D59—41no—
802C2×D59—41no—
803C2×D59—41no—
804C2×D59—41no—
805C2×D59—41no—
806C2×D59—41no—
807C2×D59—41no—
808C2×D59—41no—
809C2×D59—41no—
810C2×D59—41no—
811C2×D59—41no—
812C2×D59—41no—
813C2×D59—41no—
814C2×D59#54014yes—
815C4×C59—22no—
816C4×C59—22no—
817C4×C59—41no—
818C4×C59—41no—
819C4×C59—41no—
820C4×C59—41no—
821C4×C59—41no—
822C4×C59—41no—
823C4×C59—41no—
824C4×C59—41no—
825C4×C59—41no—
826C4×C59—41no—
827C4×C59—41no—
828Dic59—22no—
829Dic59—22no—
830Dic59—41no—
831Dic59—41no—
832Dic59—41no—
833Dic59—41no—
834Dic59—41no—
835Dic59—41no—
836Dic59—41no—
837Dic59—41no—
838Dic59—41no—
839#2847—591no—
840#2847—591no—
841#2748—591no—
842#2748—591no—
843#2748—591no—
844#2748—591no—
845#2741—591no—
846#2741—591no—
847#2741—591no—
848#2741D5911yescharacteristic, complemented
849#2703—591no—
850#2703—591no—
851#2703—591no—
852#2703—591no—
853#2671—591no—
854#2671—591no—
855#2671—591no—
856#2671—591no—
857#2656—591no—
858#2646—591no—
859#2443—591no—
860#2443—591no—
861#2443—591no—
862#2443—591no—
863#2424—591no—
864#2424—591no—
865#2424—591no—
866#2424—591no—
867#2325—591no—
868#2325—591no—
869C2×#380—591no—
870C2×C59—42no—
871C2×C59—81no—
872C2×C59C2×#54011yescharacteristic
873C2×C59#349011yescharacteristic
874C2×C59#349211yescharacteristic
875C2×C59#353611yescharacteristic
876C2×C59#353611yescharacteristic
877C2×C59#353711yescharacteristic
878C2×C59#353711yescharacteristic
879D59—24no—
880D59—42no—
881D59—81no—
882D59—81no—
883D59—81no—
884C24×C4—591no—
885C2×#123—591no—
886C2×#123—591no—
887C2×#123—591no—
888C2×#123—591no—
889C2×#121—591no—
890C2×#121—591no—
891C2×#121—591no—
892C2×#121—591no—
893C2×#121—591no—
894C2×#121—591no—
895C2×#121—591no—
896C2×#121—591no—
897C2×#121—591no—
898C2×#121—591no—
899C2×#121—591no—
900C2×#121—591no—
901C2×#121—591no—
902C2×#121—591no—
903C2×#120—591no—
904C2×#120—591no—
905C2×#120—591no—
906C2×#120—591no—
907C2×C4×D4—591no—
908C2×C4×D4—591no—
909C2×C4×D4—591no—
910C2×C4×D4—591no—
911C22×C4⋊C4—591no—
912C22×C4⋊C4—591no—
913C22×C22⋊C4—591no—
914C22×C22⋊C4—591no—
915#400—591no—
916#400—591no—
917#400—591no—
918#400C2×D5911yescharacteristic, complemented
919#399—591no—
920#399—591no—
921#399—591no—
922#399—591no—
923#399—591no—
924#399—591no—
925#399—591no—
926#399C2×D5911yescharacteristic, complemented
927#398—591no—
928#398—591no—
929#398—591no—
930#398—591no—
931#398—591no—
932#398—591no—
933#398—591no—
934#398C2×D5911yescharacteristic, complemented
935#397—591no—
936#397—591no—
937#397—591no—
938#397C2×D5911yescharacteristic, complemented
939#396—591no—
940#396—591no—
941#396—591no—
942#396—591no—
943#394—591no—
944#394—591no—
945#394—591no—
946#394—591no—
947#394—591no—
948#394—591no—
949#394—591no—
950#394—591no—
951#394—591no—
952#394—591no—
953#394C2×D5911yescharacteristic
954#394C2×D5911yescharacteristic
955#392—591no—
956#392—591no—
957#392—591no—
958#392—591no—
959#392—591no—
960#392—591no—
961#392—591no—
962#392—591no—
963#390—591no—
964#390—591no—
965#390—591no—
966#390—591no—
967#388—591no—
968#388—591no—
969#388—591no—
970#388—591no—
971#388—591no—
972#388—591no—
973#388—591no—
974#388—591no—
975#388C2×D5911yescharacteristic
976#388C2×D5911yescharacteristic
977#388C2×D5911yescharacteristic, complemented
978#388C2×D5911yescharacteristic, complemented
979#387—591no—
980#387—591no—
981#387—591no—
982#387—591no—
983#387—591no—
984#387—591no—
985#387C2×D5911yescharacteristic, complemented
986#387C2×D5911yescharacteristic, complemented
987#386—591no—
988#386—591no—
989#386—591no—
990#386—591no—
991#386—591no—
992#386—591no—
993#386—591no—
994#386—591no—
995#386—591no—
996#386—591no—
997#386—591no—
998#386—591no—
999#386—591no—
1000#386—591no—
1001#386—591no—
1002#386—591no—
1003#386—591no—
1004#386—591no—
1005#386—591no—
1006#386—591no—
1007#386—591no—
1008#386—591no—
1009#386—591no—
1010#386C2×D5911yescharacteristic
1011#385—591no—
1012#385—591no—
1013#385—591no—
1014#385—591no—
1015#385—591no—
1016#385—591no—
1017#385—591no—
1018#385—591no—
1019#385—591no—
1020#385—591no—
1021#385—591no—
1022#385—591no—
1023#380—591no—
1024#380—591no—
1025#380—591no—
1026#380—591no—
1027#380—591no—
1028#380—591no—
1029#380—591no—
1030#380—591no—
1031#380—591no—
1032#380—591no—
1033#380—591no—
1034#380—591no—
1035#380C2×D5911yescharacteristic
1036#380C2×D5911yescharacteristic
1037C2×#95—591no—
1038C2×#95—591no—
1039C59#3672711yescharacteristic, complemented, Sylow
1040C25—591no—
1041C22×D4—591no—
1042C22×D4—591no—
1043C22×D4—591no—
1044C22×D4—591no—
1045C22×D4—591no—
1046C22×D4—591no—
1047C22×D4—591no—
1048C22×D4—591no—
1049C22×D4—591no—
1050C22×D4—591no—
1051C22×D4—591no—
1052C22×D4—591no—
1053C22×D4—591no—
1054C22×D4—591no—
1055C22×D4—591no—
1056C22×D4—591no—
1057C22×D4—591no—
1058C22×D4C22×D5911yescharacteristic
1059C23×C4—591no—
1060C23×C4—591no—
1061C23×C4—591no—
1062C23×C4—591no—
1063C23×C4—591no—
1064C23×C4—591no—
1065C23×C4—591no—
1066C23×C4—591no—
1067C23×C4—591no—
1068C23×C4—591no—
1069C23×C4—591no—
1070C23×C4—591no—
1071C23×C4—591no—
1072C23×C4—1184no—
1073C23×C4—2362no—
1074C23×C4—2362no—
1075C23×C4C22×D5911yescharacteristic
1076#123—2362no—
1077#123—2362no—
1078#123—2362no—
1079#123—2362no—
1080#121—1184no—
1081#121—1184no—
1082#121—2362no—
1083#121—2362no—
1084#121—2362no—
1085#121—2362no—
1086#121—2362no—
1087#121—2362no—
1088#121—2362no—
1089#121—2362no—
1090#121—2362no—
1091#121—2362no—
1092#121—2362no—
1093#121—2362no—
1094#120—2362no—
1095#120—2362no—
1096#120—2362no—
1097#120—2362no—
1098C4×D4—2362no—
1099C4×D4—2362no—
1100C4×D4—2362no—
1101C4×D4—2362no—
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—2362no—
1125C2×C4⋊C4—2362no—
1126C2×C4⋊C4C22×D5911yescharacteristic
1127C2×C4⋊C4C22×D5911yescharacteristic
1128C2×C4⋊C4C22×D5911yescharacteristic
1129C2×C4⋊C4C22×D5911yescharacteristic
1130C2×C4⋊C4C22×D5911yescharacteristic
1131C2×C4⋊C4C22×D5911yescharacteristic
1132C2×C4⋊C4C22×D5911yescharacteristic
1133C2×C4⋊C4C22×D5911yescharacteristic
1134C2×C22⋊C4—591no—
1135C2×C22⋊C4—591no—
1136C2×C22⋊C4—591no—
1137C2×C22⋊C4—591no—
1138C2×C22⋊C4—591no—
1139C2×C22⋊C4—591no—
1140C2×C22⋊C4—591no—
1141C2×C22⋊C4—591no—
1142C2×C22⋊C4—591no—
1143C2×C22⋊C4—591no—
1144C2×C22⋊C4—591no—
1145C2×C22⋊C4—591no—
1146C2×C22⋊C4—591no—
1147C2×C22⋊C4—591no—
1148C2×C22⋊C4—591no—
1149C2×C22⋊C4—591no—
1150C2×C22⋊C4—591no—
1151C2×C22⋊C4—591no—
1152C2×C22⋊C4—591no—
1153C2×C22⋊C4—591no—
1154C2×C22⋊C4—591no—
1155C2×C22⋊C4—591no—
1156C2×C22⋊C4—591no—
1157C2×C22⋊C4—591no—
1158C2×C22⋊C4—591no—
1159C2×C22⋊C4—591no—
1160C2×C22⋊C4—591no—
1161C2×C22⋊C4—591no—
1162C2×C22⋊C4—591no—
1163C2×C22⋊C4—591no—
1164C2×C22⋊C4—591no—
1165C2×C22⋊C4—591no—
1166C2×C22⋊C4—591no—
1167C2×C22⋊C4—591no—
1168C2×C22⋊C4—591no—
1169C2×C22⋊C4—591no—
1170C2×C22⋊C4—591no—
1171C2×C22⋊C4—591no—
1172C2×C22⋊C4—591no—
1173C2×C22⋊C4—591no—
1174C2×C22⋊C4—591no—
1175C2×C22⋊C4—2362no—
1176C2×C22⋊C4—2362no—
1177C2×C22⋊C4C22×D5911yescharacteristic
1178C2×C22⋊C4C22×D5911yescharacteristic
1179C2×C22⋊C4C22×D5911yescharacteristic
1180C2×C22⋊C4C22×D5911yescharacteristic
1181C2×C22⋊C4C22×D5911yescharacteristic
1182C2×C22⋊C4C22×D5911yescharacteristic
1183C2×C22⋊C4C22×D5911yescharacteristic
1184C2×C22⋊C4C22×D5911yescharacteristic
1185C2×C22⋊C4C22×D5911yescharacteristic
1186C2×C22⋊C4C22×D5911yescharacteristic
1187C2×C22⋊C4C22×D5911yescharacteristic
1188C2×C42—591no—
1189C2×C42—591no—
1190C2×C42C22×D5911yescharacteristic
1191C2×C42C22×D5911yescharacteristic
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#95C22×D5911yescharacteristic
1217#95C22×D5911yescharacteristic
1218#95C22×D5911yescharacteristic
1219#95C22×D5911yescharacteristic
1220#95C22×D5911yescharacteristic
1221#95C22×D5911yescharacteristic
1222#95C22×D5911yescharacteristic
1223#95C22×D5911yescharacteristic
1224#95C22×D5911yescharacteristic
1225#95C22×D5911yescharacteristic
1226#95C22×D5911yescharacteristic
1227#95C22×D5911yescharacteristic
1228C24—591no—
1229C24—591no—
1230C24—591no—
1231C24—591no—
1232C24—591no—
1233C24—1182no—
1234C24—1182no—
1235C24—1182no—
1236C24—1182no—
1237C24—1182no—
1238C24—2361no—
1239C24—2361no—
1240C24C23×D5911yescharacteristic
1241C24C23×D5911yescharacteristic
1242C2×D4—22no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—1182no—
1246C2×D4—1182no—
1247C2×D4—1182no—
1248C2×D4—1182no—
1249C2×D4—1182no—
1250C2×D4—1182no—
1251C2×D4—1182no—
1252C2×D4—1182no—
1253C2×D4—1182no—
1254C2×D4—1182no—
1255C2×D4—1182no—
1256C2×D4—1182no—
1257C2×D4—1182no—
1258C2×D4—1182no—
1259C2×D4—1182no—
1260C2×D4—1182no—
1261C2×D4—1182no—
1262C2×D4—1182no—
1263C2×D4—1182no—
1264C2×D4—1182no—
1265C2×D4—1182no—
1266C2×D4—2361no—
1267C2×D4—2361no—
1268C2×D4—2361no—
1269C2×D4—2361no—
1270C2×D4—2361no—
1271C2×D4—2361no—
1272C2×D4—2361no—
1273C2×D4—2361no—
1274C2×D4—2361no—
1275C2×D4—2361no—
1276C2×D4—2361no—
1277C2×D4—2361no—
1278C2×D4—2361no—
1279C2×D4—2361no—
1280C2×D4—2361no—
1281C2×D4—2361no—
1282C2×D4—2361no—
1283C2×D4—2361no—
1284C2×D4—2361no—
1285C2×D4—2361no—
1286C2×D4—2361no—
1287C2×D4—2361no—
1288C2×D4—2361no—
1289C2×D4—2361no—
1290C2×D4—2361no—
1291C2×D4—2361no—
1292C2×D4—2361no—
1293C2×D4—2361no—
1294C2×D4—2361no—
1295C2×D4—2361no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—41no—
1299C22×C4—591no—
1300C22×C4—591no—
1301C22×C4—594no—
1302C22×C4—591no—
1303C22×C4—591no—
1304C22×C4—591no—
1305C22×C4—591no—
1306C22×C4—591no—
1307C22×C4—591no—
1308C22×C4—591no—
1309C22×C4—591no—
1310C22×C4—591no—
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—1182no—
1320C22×C4—1182no—
1321C22×C4—1182no—
1322C22×C4—1182no—
1323C22×C4—1182no—
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—2361no—
1334C22×C4—2361no—
1335C22×C4—2361no—
1336C22×C4—2361no—
1337C22×C4—2361no—
1338C22×C4—2361no—
1339C22×C4—2361no—
1340C22×C4—2361no—
1341C22×C4—2361no—
1342C22×C4—2361no—
1343C22×C4—2361no—
1344C22×C4—2361no—
1345C22×C4—23616no—
1346C22×C4—2361no—
1347C22×C4—2361no—
1348C22×C4—2361no—
1349C22×C4—2361no—
1350C22×C4C23×D5911yescharacteristic
1351C22×C4C23×D5911yescharacteristic
1352C22×C4C23×D5911yescharacteristic
1353C22×C4C23×D5911yescharacteristic
1354C22×C4C23×D5911yescharacteristic
1355C22×C4C23×D5911yescharacteristic
1356C22×C4C23×D5911yescharacteristic
1357C22×C4C23×D5911yescharacteristic
1358C22×C4C23×D5911yescharacteristic
1359C22×C4C23×D5911yescharacteristic
1360C22×C4C23×D5911yescharacteristic
1361C22×C4C23×D5911yescharacteristic
1362C22×C4C23×D5911yescharacteristic
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—41no—
1366C4⋊C4—41no—
1367C4⋊C4—41no—
1368C4⋊C4—41no—
1369C4⋊C4—41no—
1370C4⋊C4—41no—
1371C4⋊C4—1182no—
1372C4⋊C4—1182no—
1373C4⋊C4—1182no—
1374C4⋊C4—1182no—
1375C4⋊C4—2361no—
1376C4⋊C4—2361no—
1377C4⋊C4—2361no—
1378C4⋊C4—2361no—
1379C4⋊C4—2361no—
1380C4⋊C4—2361no—
1381C4⋊C4—2361no—
1382C4⋊C4—2361no—
1383C4⋊C4—2361no—
1384C4⋊C4—2361no—
1385C4⋊C4—2361no—
1386C4⋊C4—2361no—
1387C4⋊C4—2361no—
1388C4⋊C4—2361no—
1389C4⋊C4—2361no—
1390C4⋊C4—2361no—
1391C4⋊C4—2361no—
1392C4⋊C4—2361no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—1182no—
1405C22⋊C4—1182no—
1406C22⋊C4—1182no—
1407C22⋊C4—1182no—
1408C22⋊C4—1182no—
1409C22⋊C4—1182no—
1410C22⋊C4—1182no—
1411C22⋊C4—1182no—
1412C22⋊C4—1182no—
1413C22⋊C4—1182no—
1414C22⋊C4—1182no—
1415C22⋊C4—1182no—
1416C22⋊C4—1182no—
1417C22⋊C4—1182no—
1418C22⋊C4—1182no—
1419C22⋊C4—1182no—
1420C22⋊C4—2361no—
1421C22⋊C4—2361no—
1422C22⋊C4—2361no—
1423C22⋊C4—2361no—
1424C22⋊C4—2361no—
1425C22⋊C4—2361no—
1426C22⋊C4—2361no—
1427C22⋊C4—2361no—
1428C22⋊C4—2361no—
1429C22⋊C4—2361no—
1430C22⋊C4—2361no—
1431C22⋊C4—2361no—
1432C22⋊C4—2361no—
1433C22⋊C4—2361no—
1434C22⋊C4—2361no—
1435C22⋊C4—2361no—
1436C22⋊C4—2361no—
1437C22⋊C4—2361no—
1438C22⋊C4—2361no—
1439C22⋊C4—2361no—
1440C22⋊C4—2361no—
1441C22⋊C4—2361no—
1442C22⋊C4—2361no—
1443C22⋊C4—2361no—
1444C22⋊C4—2361no—
1445C42—41no—
1446C42—41no—
1447C42—2361no—
1448C42—2361no—
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—592no—
1463C23—592no—
1464C23—592no—
1465C23—592no—
1466C23—1188no—
1467C23—1181no—
1468C23—1181no—
1469C23—1181no—
1470C23—1181no—
1471C23—1181no—
1472C23—1181no—
1473C23—1181no—
1474C23—1181no—
1475C23—1181no—
1476C23—1181no—
1477C23—1181no—
1478C23—1181no—
1479C23—1181no—
1480C23—1181no—
1481C23—1181no—
1482C23—1181no—
1483C23—1181no—
1484C23—1181no—
1485C23—1181no—
1486C23—1181no—
1487C23—1181no—
1488C23—1181no—
1489C23—1181no—
1490C23—1181no—
1491C23—1181no—
1492C23—1181no—
1493C23—1181no—
1494C23—1181no—
1495C23—1181no—
1496C23—1181no—
1497C23—1181no—
1498C23—2364no—
1499C23—2364no—
1500C23—2364no—
1501C23—2364no—
1502C23—2364no—
1503C23—2364no—
1504C23#1427377312yes—
1505C23C24×D5911yescharacteristic
1506D4—82no—
1507D4—4722no—
1508D4—4722no—
1509D4—4722no—
1510D4—4722no—
1511D4—4722no—
1512D4—4722no—
1513D4—4722no—
1514D4—4722no—
1515D4—4722no—
1516D4—4722no—
1517D4—4722no—
1518D4—4722no—
1519D4—4722no—
1520D4—2364no—
1521D4—2364no—
1522D4—2364no—
1523D4—2364no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—44no—
1562C2×C4—592no—
1563C2×C4—592no—
1564C2×C4—1188no—
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—1181no—
1579C2×C4—1181no—
1580C2×C4—1181no—
1581C2×C4—1181no—
1582C2×C4—1181no—
1583C2×C4—1181no—
1584C2×C4—1181no—
1585C2×C4—1181no—
1586C2×C4—1181no—
1587C2×C4—1181no—
1588C2×C4—1181no—
1589C2×C4—1181no—
1590C2×C4—1181no—
1591C2×C4—1181no—
1592C2×C4—1181no—
1593C2×C4—1181no—
1594C2×C4—1181no—
1595C2×C4—1181no—
1596C2×C4—4722no—
1597C2×C4—4722no—
1598C2×C4—4722no—
1599C2×C4—4722no—
1600C2×C4—4722no—
1601C2×C4—4722no—
1602C2×C4—4722no—
1603C2×C4—4722no—
1604C2×C4—2364no—
1605C2×C4—2364no—
1606C2×C4—2364no—
1607C2×C4—2364no—
1608C2×C4#41×D5912yes—
1609C2×C4#1427377312yes—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—594no—
1625C22—1182no—
1626C22—1182no—
1627C22—1182no—
1628C22—1182no—
1629C22—1182no—
1630C22—1182no—
1631C22—1182no—
1632C22—1182no—
1633C22—1182no—
1634C22—23616no—
1635C22—2361no—
1636C22—2361no—
1637C22—2361no—
1638C22—2361no—
1639C22—2361no—
1640C22—2361no—
1641C22—2361no—
1642C22—2361no—
1643C22—2361no—
1644C22—2361no—
1645C22—2361no—
1646C22—2361no—
1647C22—2361no—
1648C22—2361no—
1649C22—2361no—
1650C22—2361no—
1651C22—2361no—
1652C22—2361no—
1653C22—2361no—
1654C22—2361no—
1655C22—2361no—
1656C22—2361no—
1657C22—2361no—
1658C22—2361no—
1659C22—2361no—
1660C22C2×#41×D5911yescharacteristic
1661C22H(5,𝔽2)×D5911yescharacteristic
1662C22H(5,𝔽2)×D5911yescharacteristic
1663C22H(5,𝔽2)×D5911yescharacteristic
1664C22C2×#1427377311yescharacteristic
1665C22C2×#1427377311yescharacteristic
1666C222−1+4×D5911yescharacteristic
1667C4—22no—
1668C4—22no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—1182no—
1681C4—1182no—
1682C4—2361no—
1683C4—2361no—
1684C4—2361no—
1685C4—2361no—
1686C4—2361no—
1687C4—2361no—
1688C4—2361no—
1689C4—2361no—
1690C4—2361no—
1691C2—42no—
1692C2—81no—
1693C2—1184no—
1694C2—4721no—
1695C2—4721no—
1696C2—4721no—
1697C2—2362no—
1698C2#540×D5911yescharacteristic
1699C2#2143778011yescharacteristic
1700C2#2143779611yescharacteristic
1701C2#2143831511yescharacteristic
1702C2#2143832111yescharacteristic
1703C2#2143832811yescharacteristic
1704C2#2143833211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2741C2
hypercenter#2741D59
hypocenterC59#36727
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2741

Complements

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

NH ≅ G/Ntype
1. #21432379C2semidirect
2. #21432377C2semidirect
3. #21431310C2semidirect
4. #21431308C2semidirect
5. #21431304C2semidirect
6. #21431304C2semidirect
7. #21431212C2semidirect
8. #21431208C2semidirect
9. #21431207C2semidirect
10. #21430741C2semidirect
11. #21430738C2semidirect
12. #21430737C2semidirect
13. #21430734C2semidirect
14. #21430331C2semidirect
15. #21430330C2semidirect
16. #21430329C2semidirect
17. #21430325C2semidirect
18. #21430199C2semidirect
19. #21430067C2semidirect
20. #21427838C2semidirect
21. #21427836C2semidirect
22. #21427832C2semidirect
23. #21427826C2semidirect
24. #21427637C2semidirect
25. #21427637C2semidirect
26. #21427633C2semidirect
27. #21427625C2semidirect
28. #21426800C2semidirect
29. #21426795C2semidirect
30. #380×D59C2semidirect
31. C59×#2741C2semidirect
33. C2×#14273712C22semidirect
34. C2×#14273712C22semidirect
35. C2×#14273711C22semidirect
36. C2×#14273709C22semidirect
63. #16837343C22semidirect
64. #16837342C22semidirect
65. #16837341C22semidirect
66. #16837339C22semidirect
67. #16837338C22semidirect
68. #16837337C22semidirect
69. #16837337C22semidirect
70. #16837337C22semidirect
71. #16837337C22semidirect
72. #16837337C22semidirect
73. #16837336C22semidirect
74. #16837336C22semidirect
75. #16837336C22semidirect
76. #16837335C22semidirect
77. #16837334C22semidirect
78. #16837334C22semidirect
79. #16837332C22semidirect
80. #16837331C22semidirect
81. #16837331C22semidirect
82. #16837329C22semidirect
87. #16837320C22semidirect
88. #16837319C22semidirect
93. #16837318C22semidirect
96. #16837317C22semidirect
99. #16837312C22semidirect
102. #16837311C22semidirect
103. #16837311C22semidirect
104. #16837311C22semidirect
110. #16837294C22semidirect
111. #16837293C22semidirect
112. #16837293C22semidirect
113. #16837292C22semidirect
114. #16837291C22semidirect
115. #16837291C22semidirect
117. #16837289C22semidirect
118. #16837288C22semidirect
119. #16837286C22semidirect
120. #16837286C22semidirect
121. #16837285C22semidirect
122. #16837283C22semidirect
136. #16837280C22semidirect
137. #16837280C22semidirect
141. #16837279C22semidirect
145. #16837278C22semidirect
146. #16837277C22semidirect
150. #16837276C22semidirect
151. #16837276C22semidirect
152. #16837276C22semidirect
153. #16837276C22semidirect
154. #16837274C22semidirect
156. #16837273C22semidirect
157. #16837273C22semidirect
172. C59×#400C22semidirect
173. C59×#399C22semidirect
174. C59×#398C22semidirect
175. C59×#397C22semidirect
180. C59×#388C22semidirect
181. C59×#388C22semidirect
182. C59×#387C22semidirect
183. C59×#387C22semidirect
848. #2741D59semidirect
918. #400C2×D59semidirect
926. #399C2×D59semidirect
934. #398C2×D59semidirect
938. #397C2×D59semidirect
977. #388C2×D59semidirect
978. #388C2×D59semidirect
985. #387C2×D59semidirect
986. #387C2×D59semidirect
1039. C59#36727semidirect

Maximal subgroups

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

subgroupindex
#214323792
#214323772
#214313102
#214313082
#214313042
#214312122
#214312082
#214312072
#214307412
#214307382
#214307372
#214307342
#214303312
#214303302
#214303292
#214303252
#214301992
#214300672
#214278382
#214278362
#214278322
#214278262
#214276372
#214276332
#214276252
#214268002
#214267952
#380×D592
C59×#27412
#3672759