Finite Group Databasebeta

← #28796562

Subgroups — #28796562

Order 15104.

2210 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432383C211yesmaximal, characteristic, complemented
2#21432378C211yesmaximal, characteristic, complemented
3#21431949C211yesmaximal, characteristic, complemented
4#21431762C211yesmaximal, characteristic, complemented
5#21431733C211yesmaximal, characteristic, complemented
6#21431718C211yesmaximal, characteristic, complemented
7#21431717C211yesmaximal, characteristic, complemented
8#21431421C211yesmaximal, characteristic, complemented
9#21431376C211yesmaximal, characteristic, complemented
10#21431322C211yesmaximal, characteristic, complemented
11#21431215C211yesmaximal, characteristic, complemented
12#21431096C211yesmaximal, characteristic, complemented
13#21430895C211yesmaximal, characteristic, complemented
14#21430743C211yesmaximal, characteristic, complemented
15#21430728C211yesmaximal, characteristic, complemented
16#21430647C211yesmaximal, characteristic, complemented
17#21430533C211yesmaximal, characteristic, complemented
18#21430401C211yesmaximal, characteristic, complemented
19#21429808C211yesmaximal, characteristic, complemented
20#21429808C211yesmaximal, characteristic, complemented
21#21428481C211yesmaximal, characteristic, complemented
22#21428422C211yesmaximal, characteristic, complemented
23#21428336C211yesmaximal, characteristic, complemented
24#21428216C211yesmaximal, characteristic, complemented
25#21427647C211yesmaximal, characteristic, complemented
26#21427632C211yesmaximal, characteristic, complemented
27#21427573C211yesmaximal, characteristic, complemented
28#21427558C211yesmaximal, characteristic, complemented
29#21426754C211yesmaximal, characteristic, complemented
30#21426754C211yesmaximal, characteristic, complemented
31C2×C59×#386C211yesmaximal, characteristic, complemented
32C2×#14273720C2211yescharacteristic, complemented
33C2×#14273713C2211yescharacteristic, complemented
34C2×#14273710C2211yescharacteristic
35C2×#14273710C2211yescharacteristic
36C2×#14273709C2211yescharacteristic, complemented
37C2×#14273706C2211yescharacteristic
38C2×#14273706C2211yescharacteristic, complemented
39C2×#14273706C2211yescharacteristic, complemented
40C2×#14273701C2211yescharacteristic
41C2×#14273701C2211yescharacteristic, complemented
42C2×#14273701C2211yescharacteristic, complemented
43C2×#14273700C2211yescharacteristic, complemented
44C2×#14273696C2211yescharacteristic
45C2×#14273696C2211yescharacteristic
46C2×#14273696C2211yescharacteristic
47C2×#14273696C2211yescharacteristic
48C2×C4×C22⋊D59C2211yescharacteristic
49C2×C4×C22⋊D59C2211yescharacteristic
50C59⋊#401C2211yescharacteristic, complemented
51#16837344C2211yescharacteristic, complemented
52#16837344C2211yescharacteristic, complemented
53#16837343C2211yescharacteristic, complemented
54#16837343C2211yescharacteristic, complemented
55#16837343C2211yescharacteristic, complemented
56#16837342C2211yescharacteristic, complemented
57#16837338C2211yescharacteristic, complemented
58#16837336C2211yescharacteristic, complemented
59#16837336C2211yescharacteristic, complemented
60#16837331C2211yescharacteristic, complemented
61#16837331C2211yescharacteristic, complemented
62#16837331C2211yescharacteristic, complemented
63#16837330C2211yescharacteristic, complemented
64#16837330C2211yescharacteristic, complemented
65#16837330C2211yescharacteristic, complemented
66#16837330C2211yescharacteristic, complemented
67#16837329C2211yescharacteristic, complemented
68#16837327C2211yescharacteristic, complemented
69#16837326C2211yescharacteristic, complemented
70#16837325C2211yescharacteristic, complemented
71#16837325C2211yescharacteristic, complemented
72#16837320C2211yescharacteristic, complemented
73#16837318C2211yescharacteristic, complemented
74#16837318C2211yescharacteristic, complemented
75#16837317C2211yescharacteristic, complemented
76#16837317C2211yescharacteristic, complemented
77#16837317C2211yescharacteristic, complemented
78#16837317C2211yescharacteristic, complemented
79#16837316C2211yescharacteristic
80#16837316C2211yescharacteristic
81#16837316C2211yescharacteristic
82#16837316C2211yescharacteristic
83#16837316C2211yescharacteristic
84#16837316C2211yescharacteristic
85#16837316C2211yescharacteristic
86#16837316C2211yescharacteristic
87#16837315C2211yescharacteristic, complemented
88#16837314C2211yescharacteristic, complemented
89#16837311C2211yescharacteristic, complemented
90#16837310C2211yescharacteristic
91#16837310C2211yescharacteristic
92#16837310C2211yescharacteristic
93#16837310C2211yescharacteristic
94#16837310C2211yescharacteristic
95#16837310C2211yescharacteristic
96#16837310C2211yescharacteristic
97#16837310C2211yescharacteristic
98#16837306C2211yescharacteristic, complemented
99#16837302C2211yescharacteristic, complemented
100#16837302C2211yescharacteristic, complemented
101#16837302C2211yescharacteristic, complemented
102#16837302C2211yescharacteristic, complemented
103#16837302C2211yescharacteristic, complemented
104#16837302C2211yescharacteristic, complemented
105#16837299C2211yescharacteristic, complemented
106#16837296C2211yescharacteristic, complemented
107#16837296C2211yescharacteristic, complemented
108#16837296C2211yescharacteristic, complemented
109#16837296C2211yescharacteristic, complemented
110#16837296C2211yescharacteristic, complemented
111#16837296C2211yescharacteristic, complemented
112#16837295C2211yescharacteristic, complemented
113#16837295C2211yescharacteristic, complemented
114#16837295C2211yescharacteristic, complemented
115#16837295C2211yescharacteristic, complemented
116#16837294C2211yescharacteristic, complemented
117#16837291C2211yescharacteristic, complemented
118#16837291C2211yescharacteristic, complemented
119#16837290C2211yescharacteristic, complemented
120#16837290C2211yescharacteristic, complemented
121#16837290C2211yescharacteristic, complemented
122#16837290C2211yescharacteristic, complemented
123#16837290C2211yescharacteristic, complemented
124#16837290C2211yescharacteristic, complemented
125#16837289C2211yescharacteristic, complemented
126#16837287C2211yescharacteristic, complemented
127#16837285C2211yescharacteristic, complemented
128#16837284C2211yescharacteristic, complemented
129#16837284C2211yescharacteristic, complemented
130#16837281C2211yescharacteristic
131#16837281C2211yescharacteristic
132#16837281C2211yescharacteristic
133#16837281C2211yescharacteristic
134#16837281C2211yescharacteristic, complemented
135#16837281C2211yescharacteristic, complemented
136#16837281C2211yescharacteristic, complemented
137#16837281C2211yescharacteristic, complemented
138#16837280C2211yescharacteristic, complemented
139#16837278C2211yescharacteristic, complemented
140#16837278C2211yescharacteristic, complemented
141#16837278C2211yescharacteristic, complemented
142#16837278C2211yescharacteristic, complemented
143#16837278C2211yescharacteristic, complemented
144#16837278C2211yescharacteristic, complemented
145#16837276C2211yescharacteristic, complemented
146#16837275C2211yescharacteristic
147#16837275C2211yescharacteristic
148#16837275C2211yescharacteristic
149#16837275C2211yescharacteristic
150#16837275C2211yescharacteristic, complemented
151#16837275C2211yescharacteristic, complemented
152#16837275C2211yescharacteristic, complemented
153#16837275C2211yescharacteristic, complemented
154#16837269C2211yescharacteristic, complemented
155#16837266C2211yescharacteristic, complemented
156#16837265C2211yescharacteristic
157#16837265C2211yescharacteristic
158#16837264C2211yescharacteristic, complemented
159#16837262C2211yescharacteristic
160#16837262C2211yescharacteristic
161#16837262C2211yescharacteristic, complemented
162#16837262C2211yescharacteristic, complemented
163#16837262C2211yescharacteristic, complemented
164#16837262C2211yescharacteristic, complemented
165#16837261C2211yescharacteristic, complemented
166#16837258C2211yescharacteristic
167#16837258C2211yescharacteristic
168#16837258C2211yescharacteristic
169#16837258C2211yescharacteristic
170C4×C22⋊Dic59C2211yescharacteristic
171C4×C22⋊Dic59C2211yescharacteristic
172C23×D4×C59C2211yescharacteristic
173C24×C4×C59C2211yescharacteristic
174C22×C22⋊C4×C59C2211yescharacteristic
175C22×C22⋊C4×C59C2211yescharacteristic
176C22×C22⋊C4×C59C2211yescharacteristic
177C59×#386C2211yescharacteristic
178C59×#386C2211yescharacteristic
179C59×#386C2211yescharacteristic
180C59×#386C2211yescharacteristic
181C59×#386C2211yescharacteristic
182C59×#386C2211yescharacteristic
183C59×#386C2211yescharacteristic
184C59×#386C2211yescharacteristic
185C2×#95×C59C2211yescharacteristic
186C2×#95×C59C2211yescharacteristic
187C22×Dic118C2311yescharacteristic
188C22×D236C2311yescharacteristic
189C22×C22⋊D59C2311yescharacteristic
190C22×C22⋊D59C2311yescharacteristic
191C22×C22⋊D59C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C4×D59C2311yescharacteristic
200C22×C4×D59C2311yescharacteristic
201#14273720—42no—
202#14273713—42no—
203#14273710—42no—
204#14273710—42no—
205#14273709—42no—
206#14273706—42no—
207#14273706—42no—
208#14273706—42no—
209#14273701—42no—
210#14273701—42no—
211#14273701—42no—
212#14273700—42no—
213#14273696—24no—
214#14273696—24no—
215#14273696—42no—
216#14273696—42no—
217C4×C22⋊D59—42no—
218C4×C22⋊D59—42no—
219C2×C4⋊Dic59C2311yescharacteristic
220C2×C4⋊Dic59C2311yescharacteristic
221C2×C4⋊Dic59C2311yescharacteristic
222C2×C4⋊Dic59C2311yescharacteristic
223C2×C4⋊Dic59C2311yescharacteristic
224C2×C4⋊Dic59C2311yescharacteristic
225C2×Dic59⋊C4C2311yescharacteristic
226C2×Dic59⋊C4C2311yescharacteristic
227C2×Dic59⋊C4C2311yescharacteristic
228C2×Dic59⋊C4C2311yescharacteristic
229C2×Dic59⋊C4C2311yescharacteristic
230C2×Dic59⋊C4C2311yescharacteristic
231C2×Dic59⋊C4C2311yescharacteristic
232C2×Dic59⋊C4C2311yescharacteristic
233C2×Dic59⋊C4C2311yescharacteristic
234C2×Dic59⋊C4C2311yescharacteristic
235C2×Dic59⋊C4C2311yescharacteristic
236C2×Dic59⋊C4C2311yescharacteristic
237C2×Dic59⋊C4C2311yescharacteristic
238C2×Dic59⋊C4C2311yescharacteristic
239C2×Dic59⋊C4C2311yescharacteristic
240C2×Dic59⋊C4C2311yescharacteristic
241C2×C22⋊Dic59C2311yescharacteristic
242C2×C22⋊Dic59C2311yescharacteristic
243C2×C22⋊Dic59C2311yescharacteristic
244C2×C22⋊Dic59C2311yescharacteristic
245C2×C22⋊Dic59C2311yescharacteristic
246C2×C22⋊Dic59C2311yescharacteristic
247C2×C22⋊Dic59C2311yescharacteristic
248C2×C22⋊Dic59C2311yescharacteristic
249C2×C22⋊Dic59C2311yescharacteristic
250C2×C22⋊Dic59C2311yescharacteristic
251C2×C22⋊Dic59C2311yescharacteristic
252C2×C22⋊Dic59C2311yescharacteristic
253C2×C22⋊Dic59C2311yescharacteristic
254C2×C22⋊Dic59C2311yescharacteristic
255C2×C22⋊Dic59C2311yescharacteristic
256C2×C22⋊Dic59C2311yescharacteristic
257C2×C22⋊Dic59C2311yescharacteristic
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×(C2×D59)⋊C4C2311yescharacteristic
272C2×(C2×D59)⋊C4C2311yescharacteristic
273C2×(C2×D59)⋊C4C2311yescharacteristic
274C2×(C2×D59)⋊C4C2311yescharacteristic
275C2×(C2×D59)⋊C4C2311yescharacteristic
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×C4×Dic59C2311yescharacteristic
288C2×C4×Dic59C2311yescharacteristic
289C2×C4×Dic59C2311yescharacteristic
290C2×C4×Dic59C2311yescharacteristic
291C2×C4×Dic59C2311yescharacteristic
292C2×C4×Dic59C2311yescharacteristic
293C59⋊#95C2311yescharacteristic
294C59⋊#95C2311yescharacteristic
295C59⋊#95C2311yescharacteristic
296C59⋊#95C2311yescharacteristic
297C59⋊#95C2311yescharacteristic
298C59⋊#95C2311yescharacteristic
299C59⋊#95C2311yescharacteristic
300C59⋊#95C2311yescharacteristic
301C59⋊#95C2311yescharacteristic
302C59⋊#95C2311yescharacteristic
303C59⋊#95C2311yescharacteristic
304C59⋊#95C2311yescharacteristic
305C59⋊#95C2311yescharacteristic
306C59⋊#95C2311yescharacteristic
307C59⋊#95C2311yescharacteristic
308C59⋊#95C2311yescharacteristic
309C59⋊#95C2311yescharacteristic
310C59⋊#95C2311yescharacteristic
311C59⋊#95C2311yescharacteristic
312C59⋊#95C2311yescharacteristic
313C59⋊#95C2311yescharacteristic
314C59⋊#95C2311yescharacteristic
315C59⋊#95C2311yescharacteristic
316C59⋊#95C2311yescharacteristic
317C59⋊#95C2311yescharacteristic
318C59⋊#95C2311yescharacteristic
319C59⋊#95C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C25×C59C2311yescharacteristic
326C25×C59C2311yescharacteristic
327C22×D4×C59—24no—
328C22×D4×C59—42no—
329C22×D4×C59—42no—
330C22×D4×C59C2311yescharacteristic
331C22×D4×C59C2311yescharacteristic
332C22×D4×C59C2311yescharacteristic
333C22×D4×C59C2311yescharacteristic
334C23×C4×C59—42no—
335C23×C4×C59—42no—
336C23×C4×C59—42no—
337C23×C4×C59C2311yescharacteristic
338C23×C4×C59C2311yescharacteristic
339C23×C4×C59C2311yescharacteristic
340C23×C4×C59C2311yescharacteristic
341C23×C4×C59C2311yescharacteristic
342C23×C4×C59C2311yescharacteristic
343C23×C4×C59C2311yescharacteristic
344C23×C4×C59C2311yescharacteristic
345C23×C4×C59C2311yescharacteristic
346C2×C22⋊C4×C59—42no—
347C2×C22⋊C4×C59—42no—
348C2×C22⋊C4×C59—42no—
349C2×C22⋊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
361#95×C59C2311yescharacteristic
362#95×C59C2311yescharacteristic
363#95×C59C2311yescharacteristic
364#95×C59C2311yescharacteristic
365#95×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369C24×C59—22no—
370C24×C59—22no—
371C24×C59—22no—
372C24×C59—22no—
373C24×C59—22no—
374C24×C59—41no—
375C24×C59—41no—
376C24×C59—41no—
377C24×C59—41no—
378C24×C59—41no—
379C24×C59—41no—
380C24×C59—41no—
381C24×C59—41no—
382C24×C59#4114yes—
383C24×C59C2411yescharacteristic
384C24×C59C2411yescharacteristic
385C24×C59C2411yescharacteristic
386C24×C59C2411yescharacteristic
387C24×C59C2411yescharacteristic
388C23×D59C2411yescharacteristic
389C23×D59C2411yescharacteristic
390C2×D4×C59—22no—
391C2×D4×C59—22no—
392C2×D4×C59—22no—
393C2×D4×C59—22no—
394C2×D4×C59—41no—
395C2×D4×C59—41no—
396C2×D4×C59—41no—
397C2×D4×C59—41no—
398C2×D4×C59—41no—
399C2×D4×C59—41no—
400C2×D4×C59—41no—
401C2×D4×C59—41no—
402C2×D4×C59—416no—
403C22×C4×C59—22no—
404C22×C4×C59—22no—
405C22×C4×C59—22no—
406C22×C4×C59—22no—
407C22×C4×C59—22no—
408C22×C4×C59—22no—
409C22×C4×C59—22no—
410C22×C4×C59—22no—
411C22×C4×C59—22no—
412C22×C4×C59—22no—
413C22×C4×C59—22no—
414C22×C4×C59—22no—
415C22×C4×C59—22no—
416C22×C4×C59—41no—
417C22×C4×C59—41no—
418C22×C4×C59—41no—
419C22×C4×C59—41no—
420C22×C4×C59—41no—
421C22×C4×C59—41no—
422C22×C4×C59—41no—
423C22×C4×C59—41no—
424C22×C4×C59—41no—
425C22×C4×C59—41no—
426C22×C4×C59—41no—
427C22×C4×C59—41no—
428C22×C4×C59—41no—
429C22×C4×C59—41no—
430C22×C4×C59—416no—
431C22×C4×C59C2411yescharacteristic
432C22×C4×C59C2411yescharacteristic
433C22×C4×C59C2411yescharacteristic
434C22×C4×C59C2411yescharacteristic
435C22×C4×C59C2411yescharacteristic
436C22×C4×C59C2411yescharacteristic
437C22×C4×C59C2411yescharacteristic
438C22×C4×C59C2411yescharacteristic
439C22×C4×C59C2411yescharacteristic
440C22×C4×C59C2411yescharacteristic
441C2×C22⋊D59—22no—
442C2×C22⋊D59—22no—
443C2×C22⋊D59—22no—
444C2×C22⋊D59—22no—
445C2×C22⋊D59—22no—
446C2×C22⋊D59—22no—
447C2×C22⋊D59—22no—
448C2×C22⋊D59—22no—
449C2×C22⋊D59—22no—
450C2×C22⋊D59—22no—
451C2×C22⋊D59—41no—
452C2×C22⋊D59—41no—
453C2×C22⋊D59—41no—
454C2×C22⋊D59—41no—
455C2×C22⋊D59—41no—
456C2×C22⋊D59—41no—
457C2×C22⋊D59—41no—
458C2×C22⋊D59—41no—
459C2×C22⋊D59—41no—
460C2×C22⋊D59—41no—
461C2×C22⋊D59—41no—
462C2×C22⋊D59—41no—
463C2×C22⋊D59—41no—
464C2×C22⋊D59—41no—
465C2×C22⋊D59—41no—
466C2×C22⋊D59—41no—
467C2×C22⋊D59—41no—
468C2×C22⋊D59—41no—
469C2×C22⋊D59—41no—
470C2×C22⋊D59—41no—
471C22×Dic59C2411yescharacteristic
472C22×Dic59C2411yescharacteristic
473C22×Dic59C2411yescharacteristic
474C22×Dic59C2411yescharacteristic
475C22×Dic59C2411yescharacteristic
476C22×Dic59C2411yescharacteristic
477C22×Dic59C2411yescharacteristic
478C22×Dic59C2411yescharacteristic
479C22×Dic59C2411yescharacteristic
480C22×Dic59C2411yescharacteristic
481C22×Dic59C2411yescharacteristic
482C22×Dic59C2411yescharacteristic
483C22×Dic59C2411yescharacteristic
484C22×Dic59C2411yescharacteristic
485C2×D236—22no—
486C2×D236—41no—
487C2×D236—41no—
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×Dic118—22no—
495C2×Dic118—41no—
496C2×Dic118—41no—
497C22⋊C4×C59—22no—
498C22⋊C4×C59—22no—
499C22⋊C4×C59—22no—
500C22⋊C4×C59—22no—
501C22⋊C4×C59—41no—
502C22⋊C4×C59—41no—
503C22⋊C4×C59—41no—
504C22⋊C4×C59—41no—
505C22⋊C4×C59—41no—
506C22⋊C4×C59—41no—
507C22⋊C4×C59—41no—
508C22⋊C4×C59—41no—
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—41no—
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⋊Dic59—41no—
535C22⋊Dic59—41no—
536C22⋊Dic59—41no—
537C22⋊Dic59—41no—
538C22⋊Dic59—41no—
539(C2×D59)⋊C4—22no—
540(C2×D59)⋊C4—22no—
541(C2×D59)⋊C4—41no—
542(C2×D59)⋊C4—41no—
543(C2×D59)⋊C4—41no—
544(C2×D59)⋊C4—41no—
545(C2×D59)⋊C4—41no—
546(C2×D59)⋊C4—41no—
547(C2×D59)⋊C4—41no—
548(C2×D59)⋊C4—41no—
549(C2×D59)⋊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—
555C4⋊Dic59—22no—
556C4⋊Dic59—22no—
557C4⋊Dic59—41no—
558C4⋊Dic59—41no—
559C4⋊Dic59—41no—
560C4⋊Dic59—41no—
561Dic59⋊C4—22no—
562Dic59⋊C4—22no—
563Dic59⋊C4—41no—
564Dic59⋊C4—41no—
565Dic59⋊C4—41no—
566Dic59⋊C4—41no—
567Dic59⋊C4—41no—
568Dic59⋊C4—41no—
569Dic59⋊C4—41no—
570Dic59⋊C4—41no—
571Dic59⋊C4—41no—
572Dic59⋊C4—41no—
573Dic59⋊C4—41no—
574Dic59⋊C4—41no—
575Dic59⋊C4—41no—
576Dic59⋊C4—41no—
577C4×Dic59—41no—
578C4×Dic59—41no—
579C4×Dic59—41no—
580C4×Dic59—41no—
581C4×Dic59—41no—
582C4×Dic59—41no—
583C23×C59—21no—
584C23×C59—21no—
585C23×C59—21no—
586C23×C59—21no—
587C23×C59—28no—
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—44no—
616C23×C59—44no—
617C23×C59—44no—
618C23×C59—44no—
619C23×C59—44no—
620C23×C59—44no—
621C23×C59—44no—
622C23×C59—44no—
623C23×C59—82no—
624C23×C59—82no—
625C23×C59—82no—
626C23×C59—82no—
627C23×C59C2×#4112yes—
628C23×C59C2×#4112yes—
629C23×C59C2×#4112yes—
630C23×C59H(5,𝔽2)12yes—
631C23×C59H(5,𝔽2)12yes—
632C23×C59C2511yescharacteristic
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—21no—
644C22×D59—21no—
645C22×D59—21no—
646C22×D59—21no—
647D4×C59—44no—
648D4×C59—44no—
649D4×C59—44no—
650D4×C59—44no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—21no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59—21no—
665C2×C4×C59—21no—
666C2×C4×C59—21no—
667C2×C4×C59—21no—
668C2×C4×C59—21no—
669C2×C4×C59—21no—
670C2×C4×C59—21no—
671C2×C4×C59—21no—
672C2×C4×C59—21no—
673C2×C4×C59—21no—
674C2×C4×C59—21no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—21no—
679C2×C4×C59—44no—
680C2×C4×C59—44no—
681C2×C4×C59—44no—
682C2×C4×C59—44no—
683C2×C4×C59—44no—
684C2×C4×C59—44no—
685C2×C4×C59—44no—
686C2×C4×C59—82no—
687C2×C4×C59—82no—
688C2×C4×C59H(5,𝔽2)12yes—
689C2×C4×C59H(5,𝔽2)12yes—
690C22⋊D59—44no—
691C22⋊D59—44no—
692C22⋊D59—82no—
693C22⋊D59—82no—
694C22⋊D59—82no—
695C22⋊D59—82no—
696C22⋊D59—82no—
697C22⋊D59—82no—
698C22⋊D59—82no—
699C22⋊D59—82no—
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—21no—
733C2×Dic59—21no—
734C2×Dic59—21no—
735C2×Dic59—21no—
736C2×Dic59—21no—
737C2×Dic59—21no—
738C2×Dic59—21no—
739C2×Dic59—21no—
740C2×Dic59—21no—
741C2×Dic59—21no—
742D236—82no—
743C4×D59—82no—
744C4×D59—82no—
745Dic118—82no—
746#36758—591nomaximal, Sylow
747C22×C59—22no—
748C22×C59—22no—
749C22×C59—22no—
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—416no—
760C22×C59—41no—
761C22×C59—41no—
762C22×C59—41no—
763C22×C59—41no—
764C22×C59—41no—
765C22×C59—41no—
766C22×C59—41no—
767C22×C59—41no—
768C22×C59—41no—
769C22×C59—41no—
770C22×C59—41no—
771C22×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—88no—
783C22×C59#53814yes—
784C22×C59C22×#4111yescharacteristic
785C22×C59C2×H(5,𝔽2)11yescharacteristic
786C22×C59C2×H(5,𝔽2)11yescharacteristic
787C22×C59C2×H(5,𝔽2)11yescharacteristic
788C22×C59C2×H(5,𝔽2)11yescharacteristic
789C22×C59#58511yescharacteristic
790C22×C59#58511yescharacteristic
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—
805C4×C59—22no—
806C4×C59—22no—
807C4×C59—41no—
808C4×C59—41no—
809C4×C59—41no—
810C4×C59—41no—
811C4×C59—41no—
812C4×C59—41no—
813C4×C59—41no—
814C4×C59—41no—
815Dic59—41no—
816Dic59—41no—
817Dic59—41no—
818Dic59—41no—
819Dic59—41no—
820Dic59—41no—
821Dic59—41no—
822Dic59—41no—
823Dic59—41no—
824Dic59—41no—
825Dic59—41no—
826Dic59—41no—
827Dic59—41no—
828Dic59—41no—
829#2848—591no—
830#2847—591no—
831#2797—591no—
832#2781—591no—
833#2779—591no—
834#2778—591no—
835#2778—591no—
836#2756—591no—
837#2753—591no—
838#2749—591no—
839#2741—591no—
840#2730—591no—
841#2714—591no—
842#2703—591no—
843#2702—591no—
844#2696—591no—
845#2688—591no—
846#2676—591no—
847#2613—591no—
848#2613—591no—
849#2493—591no—
850#2488—591no—
851#2480—591no—
852#2472—591no—
853#2425—591no—
854#2424—591no—
855#2419—591no—
856#2418—591no—
857#2321—591no—
858#2321—591no—
859C2×#386D5911yescharacteristic, complemented
860C2×C59—24no—
861C2×C59—42no—
862C2×C59—42no—
863C2×C59—81no—
864C2×C59—81no—
865C2×C59C2×#53811yescharacteristic
866C2×C59#350511yescharacteristic
867C2×C59#350511yescharacteristic
868C2×C59#353211yescharacteristic
869C2×C59#353311yescharacteristic
870C2×C59#354211yescharacteristic
871C2×C59#354211yescharacteristic
872D59—81no—
873D59—81no—
874C23×D4C2×D5911yescharacteristic
875C24×C4C2×D5911yescharacteristic
876C2×#126—591no—
877C2×#124—591no—
878C2×#123—591no—
879C2×#123—591no—
880C2×#123—591no—
881C2×C22⋊Q8—591no—
882C2×C22⋊Q8—591no—
883C2×C22⋊Q8—591no—
884C2×#121—591no—
885C2×#121—591no—
886C2×#121—591no—
887C2×#121—591no—
888C2×#120—591no—
889C2×#120—591no—
890C2×#120—591no—
891C2×#120—591no—
892C2×C4×D4—591no—
893C2×C4×D4—591no—
894C22×C22⋊C4C2×D5911yescharacteristic
895C22×C22⋊C4C2×D5911yescharacteristic
896C22×C22⋊C4C2×D5911yescharacteristic
897#401—591no—
898#400—591no—
899#400—591no—
900#400—591no—
901#400—591no—
902#400—591no—
903#400—591no—
904#399—591no—
905#398—591no—
906#398—591no—
907#397—591no—
908#397—591no—
909#397—591no—
910#397—591no—
911#397—591no—
912#397—591no—
913#397—591no—
914#397—591no—
915#397—591no—
916#396—591no—
917#396—591no—
918#396—591no—
919#394—591no—
920#394—591no—
921#394—591no—
922#394—591no—
923#394—591no—
924#394—591no—
925#394—591no—
926#394—591no—
927#394—591no—
928#394—591no—
929#394—591no—
930#394—591no—
931#394—591no—
932#394—591no—
933#394—591no—
934#393—591no—
935#393—591no—
936#392—591no—
937#392—591no—
938#392—591no—
939#392—591no—
940#392—591no—
941#392—591no—
942#392—591no—
943#392—591no—
944#392—591no—
945#391—591no—
946#390—591no—
947#390—591no—
948#390—591no—
949#390—591no—
950#390—591no—
951#390—591no—
952#389—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#388—591no—
971#388—591no—
972#387—591no—
973#387—591no—
974#387—591no—
975#387—591no—
976#387—591no—
977#386—591no—
978#386—591no—
979#386—591no—
980#386—591no—
981#386—591no—
982#386—591no—
983#386—591no—
984#386—591no—
985#386—591no—
986#386—591no—
987#386—591no—
988#386—591no—
989#386—591no—
990#386—591no—
991#386—591no—
992#386C2×D5911yescharacteristic
993#386C2×D5911yescharacteristic
994#386C2×D5911yescharacteristic
995#386C2×D5911yescharacteristic
996#386C2×D5911yescharacteristic
997#386C2×D5911yescharacteristic
998#386C2×D5911yescharacteristic
999#386C2×D5911yescharacteristic
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#383—591no—
1010#382—591no—
1011#381—591no—
1012#381—591no—
1013#381—591no—
1014#380—591no—
1015#380—591no—
1016#380—591no—
1017#380—591no—
1018#380—591no—
1019#380—591no—
1020#380—591no—
1021#379—591no—
1022#379—591no—
1023#379—591no—
1024#379—591no—
1025C4×C22⋊C4—591no—
1026C4×C22⋊C4—591no—
1027C2×#95C2×D5911yescharacteristic
1028C2×#95C2×D5911yescharacteristic
1029C59#3675811yescharacteristic, complemented, Sylow
1030C25C22×D5911yescharacteristic
1031C25C22×D5911yescharacteristic
1032C22×Q8—591no—
1033C22×D4—24no—
1034C22×D4—42no—
1035C22×D4—42no—
1036C22×D4—591no—
1037C22×D4—591no—
1038C22×D4—591no—
1039C22×D4—591no—
1040C22×D4—591no—
1041C22×D4—591no—
1042C22×D4—591no—
1043C22×D4—591no—
1044C22×D4—591no—
1045C22×D4—591no—
1046C22×D4—591no—
1047C22×D4C22×D5911yescharacteristic
1048C22×D4C22×D5911yescharacteristic
1049C22×D4C22×D5911yescharacteristic
1050C22×D4C22×D5911yescharacteristic
1051C23×C4—42no—
1052C23×C4—42no—
1053C23×C4—42no—
1054C23×C4—591no—
1055C23×C4—591no—
1056C23×C4C22×D5911yescharacteristic
1057C23×C4C22×D5911yescharacteristic
1058C23×C4C22×D5911yescharacteristic
1059C23×C4C22×D5911yescharacteristic
1060C23×C4C22×D5911yescharacteristic
1061C23×C4C22×D5911yescharacteristic
1062C23×C4C22×D5911yescharacteristic
1063C23×C4C22×D5911yescharacteristic
1064C23×C4C22×D5911yescharacteristic
1065#126—2362no—
1066#124—2362no—
1067#123—2362no—
1068#123—2362no—
1069#123—2362no—
1070C22⋊Q8—2362no—
1071C22⋊Q8—2362no—
1072C22⋊Q8—2362no—
1073#121—2362no—
1074#121—2362no—
1075#121—2362no—
1076#121—2362no—
1077#120—1184no—
1078#120—1184no—
1079#120—2362no—
1080#120—2362no—
1081C4×D4—2362no—
1082C4×D4—2362no—
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⋊C4—591no—
1090C2×C4⋊C4—591no—
1091C2×C4⋊C4—591no—
1092C2×C4⋊C4—591no—
1093C2×C4⋊C4—591no—
1094C2×C4⋊C4—591no—
1095C2×C4⋊C4—591no—
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×C22⋊C4—42no—
1106C2×C22⋊C4—42no—
1107C2×C22⋊C4—42no—
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—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⋊C4C22×D5911yescharacteristic
1155C2×C22⋊C4C22×D5911yescharacteristic
1156C2×C22⋊C4C22×D5911yescharacteristic
1157C2×C22⋊C4C22×D5911yescharacteristic
1158C2×C22⋊C4C22×D5911yescharacteristic
1159C2×C22⋊C4C22×D5911yescharacteristic
1160C2×C22⋊C4C22×D5911yescharacteristic
1161C2×C22⋊C4C22×D5911yescharacteristic
1162C2×C22⋊C4C22×D5911yescharacteristic
1163C2×C22⋊C4C22×D5911yescharacteristic
1164C2×C22⋊C4C22×D5911yescharacteristic
1165C2×C22⋊C4C22×D5911yescharacteristic
1166C2×C42—591no—
1167C2×C42—591no—
1168C2×C42—591no—
1169C2×C42—591no—
1170C2×C42—591no—
1171C2×C42—591no—
1172#95—591no—
1173#95—591no—
1174#95—591no—
1175#95—591no—
1176#95—591no—
1177#95—591no—
1178#95—591no—
1179#95—591no—
1180#95—591no—
1181#95—591no—
1182#95—591no—
1183#95—591no—
1184#95—591no—
1185#95—591no—
1186#95—591no—
1187#95—591no—
1188#95—591no—
1189#95—591no—
1190#95—591no—
1191#95—591no—
1192#95—591no—
1193#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#95C22×D5911yescharacteristic
1205#95C22×D5911yescharacteristic
1206#95C22×D5911yescharacteristic
1207#95C22×D5911yescharacteristic
1208#95C22×D5911yescharacteristic
1209#95C22×D5911yescharacteristic
1210#95C22×D5911yescharacteristic
1211#95C22×D5911yescharacteristic
1212C24—22no—
1213C24—22no—
1214C24—22no—
1215C24—22no—
1216C24—22no—
1217C24—41no—
1218C24—41no—
1219C24—41no—
1220C24—41no—
1221C24—41no—
1222C24—41no—
1223C24—41no—
1224C24—41no—
1225C24—591no—
1226C24—591no—
1227C24#1174568514yes—
1228C24C23×D5911yescharacteristic
1229C24C23×D5911yescharacteristic
1230C24C23×D5911yescharacteristic
1231C24C23×D5911yescharacteristic
1232C24C23×D5911yescharacteristic
1233C2×Q8—1182no—
1234C2×Q8—2361no—
1235C2×Q8—2361no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—416no—
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—2361no—
1261C2×D4—2361no—
1262C2×D4—2361no—
1263C2×D4—2361no—
1264C2×D4—2361no—
1265C2×D4—2361no—
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—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—416no—
1310C22×C4—591no—
1311C22×C4—591no—
1312C22×C4—591no—
1313C22×C4—591no—
1314C22×C4—591no—
1315C22×C4—591no—
1316C22×C4—591no—
1317C22×C4—591no—
1318C22×C4—591no—
1319C22×C4—591no—
1320C22×C4—591no—
1321C22×C4—591no—
1322C22×C4—591no—
1323C22×C4—591no—
1324C22×C4—2361no—
1325C22×C4—2361no—
1326C22×C4—2361no—
1327C22×C4—2361no—
1328C22×C4—2361no—
1329C22×C4—2361no—
1330C22×C4C23×D5911yescharacteristic
1331C22×C4C23×D5911yescharacteristic
1332C22×C4C23×D5911yescharacteristic
1333C22×C4C23×D5911yescharacteristic
1334C22×C4C23×D5911yescharacteristic
1335C22×C4C23×D5911yescharacteristic
1336C22×C4C23×D5911yescharacteristic
1337C22×C4C23×D5911yescharacteristic
1338C22×C4C23×D5911yescharacteristic
1339C22×C4C23×D5911yescharacteristic
1340C4⋊C4—1182no—
1341C4⋊C4—1182no—
1342C4⋊C4—1182no—
1343C4⋊C4—1182no—
1344C4⋊C4—2361no—
1345C4⋊C4—2361no—
1346C4⋊C4—2361no—
1347C4⋊C4—2361no—
1348C4⋊C4—2361no—
1349C4⋊C4—2361no—
1350C4⋊C4—2361no—
1351C4⋊C4—2361no—
1352C4⋊C4—2361no—
1353C4⋊C4—2361no—
1354C4⋊C4—2361no—
1355C4⋊C4—2361no—
1356C4⋊C4—2361no—
1357C4⋊C4—2361no—
1358C4⋊C4—2361no—
1359C4⋊C4—2361no—
1360C4⋊C4—2361no—
1361C4⋊C4—2361no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—1182no—
1375C22⋊C4—1182no—
1376C22⋊C4—1182no—
1377C22⋊C4—1182no—
1378C22⋊C4—1182no—
1379C22⋊C4—1182no—
1380C22⋊C4—1182no—
1381C22⋊C4—1182no—
1382C22⋊C4—1182no—
1383C22⋊C4—1182no—
1384C22⋊C4—1182no—
1385C22⋊C4—1182no—
1386C22⋊C4—2361no—
1387C22⋊C4—2361no—
1388C22⋊C4—2361no—
1389C22⋊C4—2361no—
1390C22⋊C4—2361no—
1391C22⋊C4—2361no—
1392C22⋊C4—2361no—
1393C22⋊C4—2361no—
1394C22⋊C4—2361no—
1395C22⋊C4—2361no—
1396C22⋊C4—2361no—
1397C22⋊C4—2361no—
1398C22⋊C4—2361no—
1399C22⋊C4—2361no—
1400C22⋊C4—2361no—
1401C22⋊C4—2361no—
1402C22⋊C4—2361no—
1403C22⋊C4—2361no—
1404C22⋊C4—2361no—
1405C22⋊C4—2361no—
1406C22⋊C4—2361no—
1407C22⋊C4—2361no—
1408C22⋊C4—2361no—
1409C22⋊C4—2361no—
1410C22⋊C4—2361no—
1411C22⋊C4—2361no—
1412C22⋊C4—2361no—
1413C22⋊C4—2361no—
1414C22⋊C4—2361no—
1415C22⋊C4—2361no—
1416C22⋊C4—2361no—
1417C22⋊C4—2361no—
1418C22⋊C4—2361no—
1419C22⋊C4—2361no—
1420C42—2361no—
1421C42—2361no—
1422C42—2361no—
1423C42—2361no—
1424C42—2361no—
1425C42—2361no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—28no—
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—44no—
1458C23—44no—
1459C23—44no—
1460C23—44no—
1461C23—44no—
1462C23—44no—
1463C23—44no—
1464C23—44no—
1465C23—44no—
1466C23—82no—
1467C23—82no—
1468C23—82no—
1469C23—82no—
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—
1484C23C2×#1174568512yes—
1485C23C2×#1174568512yes—
1486C23C2×#1174568512yes—
1487C23#1427377212yes—
1488C23#1427377212yes—
1489C23C24×D5911yescharacteristic
1490Q8—4722no—
1491D4—44no—
1492D4—44no—
1493D4—44no—
1494D4—44no—
1495D4—4722no—
1496D4—4722no—
1497D4—4722no—
1498D4—4722no—
1499D4—4722no—
1500D4—4722no—
1501D4—4722no—
1502D4—4722no—
1503D4—4722no—
1504D4—2364no—
1505D4—2364no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—44no—
1535C2×C4—44no—
1536C2×C4—44no—
1537C2×C4—44no—
1538C2×C4—44no—
1539C2×C4—44no—
1540C2×C4—44no—
1541C2×C4—82no—
1542C2×C4—82no—
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—1181no—
1579C2×C4—1181no—
1580C2×C4—1181no—
1581C2×C4—1181no—
1582C2×C4—1181no—
1583C2×C4—1181no—
1584C2×C4—1181no—
1585C2×C4—4722no—
1586C2×C4—4722no—
1587C2×C4#1427377212yes—
1588C2×C4#1427377212yes—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—416no—
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—41no—
1624C22—88no—
1625C22—2361no—
1626C22—2361no—
1627C22—2361no—
1628C22—2361no—
1629C22—2361no—
1630C22—2361no—
1631C22—2361no—
1632C22—2361no—
1633C22—2361no—
1634C22—2361no—
1635C22—2361no—
1636C22—2361no—
1637C22—2361no—
1638C22—2361no—
1639C22#1683799014yes—
1640C22C22×#1174568511yescharacteristic
1641C22C2×#1427377211yescharacteristic
1642C22C2×#1427377211yescharacteristic
1643C22C2×#1427377211yescharacteristic
1644C22C2×#1427377211yescharacteristic
1645C22#1683823811yescharacteristic
1646C22#1683823811yescharacteristic
1647C4—22no—
1648C4—22no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—2361no—
1658C4—2361no—
1659C4—2361no—
1660C4—2361no—
1661C4—2361no—
1662C4—2361no—
1663C4—2361no—
1664C4—2361no—
1665C4—2361no—
1666C4—2361no—
1667C4—2361no—
1668C4—2361no—
1669C4—2361no—
1670C4—2361no—
1671C2—24no—
1672C2—42no—
1673C2—42no—
1674C2—81no—
1675C2—81no—
1676C2—4721no—
1677C2—4721no—
1678C2C2×#1683799011yescharacteristic
1679C2#2143793511yescharacteristic
1680C2#2143793511yescharacteristic
1681C2#2143825111yescharacteristic
1682C2#2143826711yescharacteristic
1683C2#2143841611yescharacteristic
1684C2#2143841611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC2×C59×#386C2
hypercenterC2×#386D59
hypocenterC59#36758
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
1. #21432383C2semidirect
2. #21432378C2semidirect
3. #21431949C2semidirect
4. #21431762C2semidirect
5. #21431733C2semidirect
6. #21431718C2semidirect
7. #21431717C2semidirect
8. #21431421C2semidirect
9. #21431376C2semidirect
10. #21431322C2semidirect
11. #21431215C2semidirect
12. #21431096C2semidirect
13. #21430895C2semidirect
14. #21430743C2semidirect
15. #21430728C2semidirect
16. #21430647C2semidirect
17. #21430533C2semidirect
18. #21430401C2semidirect
19. #21429808C2semidirect
20. #21429808C2semidirect
21. #21428481C2semidirect
22. #21428422C2semidirect
23. #21428336C2semidirect
24. #21428216C2semidirect
25. #21427647C2semidirect
26. #21427632C2semidirect
27. #21427573C2semidirect
28. #21427558C2semidirect
29. #21426754C2semidirect
30. #21426754C2semidirect
31. C2×C59×#386C2semidirect
32. C2×#14273720C22semidirect
33. C2×#14273713C22semidirect
36. C2×#14273709C22semidirect
38. C2×#14273706C22semidirect
39. C2×#14273706C22semidirect
41. C2×#14273701C22semidirect
42. C2×#14273701C22semidirect
43. C2×#14273700C22semidirect
50. C59⋊#401C22semidirect
51. #16837344C22semidirect
52. #16837344C22semidirect
53. #16837343C22semidirect
54. #16837343C22semidirect
55. #16837343C22semidirect
56. #16837342C22semidirect
57. #16837338C22semidirect
58. #16837336C22semidirect
59. #16837336C22semidirect
60. #16837331C22semidirect
61. #16837331C22semidirect
62. #16837331C22semidirect
63. #16837330C22semidirect
64. #16837330C22semidirect
65. #16837330C22semidirect
66. #16837330C22semidirect
67. #16837329C22semidirect
68. #16837327C22semidirect
69. #16837326C22semidirect
70. #16837325C22semidirect
71. #16837325C22semidirect
72. #16837320C22semidirect
73. #16837318C22semidirect
74. #16837318C22semidirect
75. #16837317C22semidirect
76. #16837317C22semidirect
77. #16837317C22semidirect
78. #16837317C22semidirect
87. #16837315C22semidirect
88. #16837314C22semidirect
89. #16837311C22semidirect
98. #16837306C22semidirect
99. #16837302C22semidirect
100. #16837302C22semidirect
101. #16837302C22semidirect
102. #16837302C22semidirect
103. #16837302C22semidirect
104. #16837302C22semidirect
105. #16837299C22semidirect
106. #16837296C22semidirect
107. #16837296C22semidirect
108. #16837296C22semidirect
109. #16837296C22semidirect
110. #16837296C22semidirect
111. #16837296C22semidirect
112. #16837295C22semidirect
113. #16837295C22semidirect
114. #16837295C22semidirect
115. #16837295C22semidirect
116. #16837294C22semidirect
117. #16837291C22semidirect
118. #16837291C22semidirect
119. #16837290C22semidirect
120. #16837290C22semidirect
121. #16837290C22semidirect
122. #16837290C22semidirect
123. #16837290C22semidirect
124. #16837290C22semidirect
125. #16837289C22semidirect
126. #16837287C22semidirect
127. #16837285C22semidirect
128. #16837284C22semidirect
129. #16837284C22semidirect
134. #16837281C22semidirect
135. #16837281C22semidirect
136. #16837281C22semidirect
137. #16837281C22semidirect
138. #16837280C22semidirect
139. #16837278C22semidirect
140. #16837278C22semidirect
141. #16837278C22semidirect
142. #16837278C22semidirect
143. #16837278C22semidirect
144. #16837278C22semidirect
145. #16837276C22semidirect
150. #16837275C22semidirect
151. #16837275C22semidirect
152. #16837275C22semidirect
153. #16837275C22semidirect
154. #16837269C22semidirect
155. #16837266C22semidirect
158. #16837264C22semidirect
161. #16837262C22semidirect
162. #16837262C22semidirect
163. #16837262C22semidirect
164. #16837262C22semidirect
165. #16837261C22semidirect
859. C2×#386D59semidirect
1029. C59#36758semidirect

Maximal subgroups

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

subgroupindex
#214323832
#214323782
#214319492
#214317622
#214317332
#214317182
#214317172
#214314212
#214313762
#214313222
#214312152
#214310962
#214308952
#214307432
#214307282
#214306472
#214305332
#214304012
#214298082
#214284812
#214284222
#214283362
#214282162
#214276472
#214276322
#214275732
#214275582
#214267542
C2×C59×#3862
#3675859