Finite Group Databasebeta

← #28795948

Subgroups — #28795948

Order 15104.

1954 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432391C211yesmaximal, characteristic, complemented
2#21432377C211yesmaximal, characteristic, complemented
3#21431273C211yesmaximal, characteristic, complemented
4#21431273C211yesmaximal, characteristic, complemented
5#21431251C211yesmaximal, characteristic, complemented
6#21431232C211yesmaximal, characteristic, complemented
7#21431212C211yesmaximal, characteristic, complemented
8#21430999C211yesmaximal, characteristic, complemented
9#21430781C211yesmaximal, characteristic, complemented
10#21430774C211yesmaximal, characteristic, complemented
11#21430702C211yesmaximal, characteristic, complemented
12#21430683C211yesmaximal, characteristic, complemented
13#21430574C211yesmaximal, characteristic, complemented
14#21430493C211yesmaximal, characteristic, complemented
15#21430485C211yesmaximal, characteristic, complemented
16#21430420C211yesmaximal, characteristic, complemented
17#21430331C211yesmaximal, characteristic, complemented
18#21430302C211yesmaximal, characteristic, complemented
19#21430296C211yesmaximal, characteristic, complemented
20#21430228C211yesmaximal, characteristic, complemented
21#21429614C211yesmaximal, characteristic, complemented
22#21429224C211yesmaximal, characteristic, complemented
23#21429219C211yesmaximal, characteristic, complemented
24#21428332C211yesmaximal, characteristic, complemented
25#21428282C211yesmaximal, characteristic, complemented
26#21428214C211yesmaximal, characteristic, complemented
27#21428194C211yesmaximal, characteristic, complemented
28#21426892C211yesmaximal, characteristic, complemented
29#21426856C211yesmaximal, characteristic, complemented
30#21426477C211yesmaximal, characteristic, complemented
31C59×#2576C211yesmaximal, characteristic, complemented
32C23×C4×D59C2211yescharacteristic
33C2×#14273720C2211yescharacteristic
34C2×#14273720C2211yescharacteristic
35C2×#14273720C2211yescharacteristic, complemented
36C2×#14273712C2211yescharacteristic
37C2×#14273712C2211yescharacteristic
38C2×#14273712C2211yescharacteristic
39C2×#14273712C2211yescharacteristic, complemented
40C2×#14273701C2211yescharacteristic
41C2×#14273700C2211yescharacteristic
42C2×#14273700C2211yescharacteristic
43C2×#14273700C2211yescharacteristic
44C2×#14273699C2211yescharacteristic
45C2×#14273698C2211yescharacteristic
46C2×#14273697C2211yescharacteristic
47C2×#14273697C2211yescharacteristic
48C2×#14273695C2211yescharacteristic
49C2×#14273684C2211yescharacteristic
50C2×#14273684C2211yescharacteristic
51#16837344C2211yescharacteristic, complemented
52#16837344C2211yescharacteristic, complemented
53#16837343C2211yescharacteristic, complemented
54#16837342C2211yescharacteristic, complemented
55#16837339C2211yescharacteristic
56#16837339C2211yescharacteristic
57#16837338C2211yescharacteristic, complemented
58#16837337C2211yescharacteristic
59#16837337C2211yescharacteristic, complemented
60#16837336C2211yescharacteristic, complemented
61#16837336C2211yescharacteristic, complemented
62#16837336C2211yescharacteristic, complemented
63#16837336C2211yescharacteristic, complemented
64#16837336C2211yescharacteristic, complemented
65#16837335C2211yescharacteristic, complemented
66#16837332C2211yescharacteristic, complemented
67#16837331C2211yescharacteristic, complemented
68#16837331C2211yescharacteristic, complemented
69#16837329C2211yescharacteristic
70#16837328C2211yescharacteristic, complemented
71#16837327C2211yescharacteristic
72#16837326C2211yescharacteristic
73#16837326C2211yescharacteristic, complemented
74#16837324C2211yescharacteristic
75#16837324C2211yescharacteristic
76#16837320C2211yescharacteristic
77#16837320C2211yescharacteristic
78#16837320C2211yescharacteristic
79#16837320C2211yescharacteristic, complemented
80#16837318C2211yescharacteristic
81#16837318C2211yescharacteristic
82#16837318C2211yescharacteristic
83#16837318C2211yescharacteristic
84#16837318C2211yescharacteristic
85#16837317C2211yescharacteristic
86#16837317C2211yescharacteristic
87#16837317C2211yescharacteristic, complemented
88#16837317C2211yescharacteristic, complemented
89#16837317C2211yescharacteristic, complemented
90#16837316C2211yescharacteristic
91#16837312C2211yescharacteristic
92#16837312C2211yescharacteristic
93#16837311C2211yescharacteristic
94#16837311C2211yescharacteristic, complemented
95#16837304C2211yescharacteristic
96#16837304C2211yescharacteristic, complemented
97#16837303C2211yescharacteristic
98#16837303C2211yescharacteristic
99#16837302C2211yescharacteristic
100#16837302C2211yescharacteristic
101#16837302C2211yescharacteristic
102#16837302C2211yescharacteristic, complemented
103#16837300C2211yescharacteristic, complemented
104#16837299C2211yescharacteristic, complemented
105#16837297C2211yescharacteristic, complemented
106#16837297C2211yescharacteristic, complemented
107#16837296C2211yescharacteristic, complemented
108#16837295C2211yescharacteristic, complemented
109#16837294C2211yescharacteristic
110#16837294C2211yescharacteristic, complemented
111#16837294C2211yescharacteristic, complemented
112#16837293C2211yescharacteristic
113#16837293C2211yescharacteristic, complemented
114#16837293C2211yescharacteristic, complemented
115#16837292C2211yescharacteristic, complemented
116#16837291C2211yescharacteristic
117#16837291C2211yescharacteristic
118#16837291C2211yescharacteristic
119#16837291C2211yescharacteristic, complemented
120#16837291C2211yescharacteristic, complemented
121#16837290C2211yescharacteristic
122#16837289C2211yescharacteristic, complemented
123#16837289C2211yescharacteristic, complemented
124#16837289C2211yescharacteristic, complemented
125#16837289C2211yescharacteristic, complemented
126#16837286C2211yescharacteristic, complemented
127#16837284C2211yescharacteristic, complemented
128#16837283C2211yescharacteristic, complemented
129#16837281C2211yescharacteristic
130#16837281C2211yescharacteristic
131#16837281C2211yescharacteristic
132#16837281C2211yescharacteristic, complemented
133#16837280C2211yescharacteristic
134#16837280C2211yescharacteristic
135#16837280C2211yescharacteristic
136#16837280C2211yescharacteristic
137#16837280C2211yescharacteristic
138#16837280C2211yescharacteristic
139#16837280C2211yescharacteristic
140#16837279C2211yescharacteristic
141#16837278C2211yescharacteristic
142#16837278C2211yescharacteristic
143#16837278C2211yescharacteristic, complemented
144#16837276C2211yescharacteristic, complemented
145#16837276C2211yescharacteristic, complemented
146#16837276C2211yescharacteristic, complemented
147#16837276C2211yescharacteristic, complemented
148#16837275C2211yescharacteristic, complemented
149#16837274C2211yescharacteristic
150#16837273C2211yescharacteristic
151#16837273C2211yescharacteristic
152#16837264C2211yescharacteristic
153#16837264C2211yescharacteristic
154#16837264C2211yescharacteristic
155#16837264C2211yescharacteristic
156#16837261C2211yescharacteristic
157#16837261C2211yescharacteristic
158#16837261C2211yescharacteristic
159#16837261C2211yescharacteristic
160#16837260C2211yescharacteristic
161#16837260C2211yescharacteristic
162#16837260C2211yescharacteristic
163#16837257C2211yescharacteristic
164#16837257C2211yescharacteristic
165#16837257C2211yescharacteristic
166C4⋊C4×Dic59C2211yescharacteristic, complemented
167C4×(C2×D59)⋊C4C2211yescharacteristic
168C4×(C2×D59)⋊C4C2211yescharacteristic
169C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
170C4×C22⋊Dic59C2211yescharacteristic
171#16837249C2211yescharacteristic, complemented
172C59×#401C2211yescharacteristic, complemented
173C59×#397C2211yescharacteristic
174C59×#396C2211yescharacteristic, complemented
175C59×#394C2211yescharacteristic
176C59×#388C2211yescharacteristic
177C59×#388C2211yescharacteristic, complemented
178C59×#387C2211yescharacteristic, complemented
179C59×#387C2211yescharacteristic, complemented
180C59×#386C2211yescharacteristic
181C59×#386C2211yescharacteristic
182C59×#385C2211yescharacteristic
183C59×#382C2211yescharacteristic, complemented
184C59×#381C2211yescharacteristic, complemented
185C4×C22⋊C4×C59C2211yescharacteristic
186C4×C22⋊C4×C59C2211yescharacteristic, complemented
187C24×D59C2311yescharacteristic
188C22×D236C2311yescharacteristic
189C22×D236C2311yescharacteristic
190C22×D236C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C23×Dic59C2311yescharacteristic
200C22×C4×D59—24no—
201C22×C4×D59—42no—
202C22×C4×D59—42no—
203C22×C4×D59C2311yescharacteristic
204C22×C4×D59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209#14273720—42no—
210#14273720—42no—
211#14273720—42no—
212#14273712—24no—
213#14273712—42no—
214#14273712—42no—
215#14273712—42no—
216#14273701—42no—
217#14273700—24no—
218#14273700—42no—
219#14273700—42no—
220#14273699—42no—
221#14273698—42no—
222#14273697—42no—
223#14273697—42no—
224#14273695—42no—
225#14273684—42no—
226#14273684—42no—
227C2×C4⋊Dic59C2311yescharacteristic
228C2×C4⋊Dic59C2311yescharacteristic
229C2×C4⋊Dic59C2311yescharacteristic
230C2×C4⋊Dic59C2311yescharacteristic
231C2×C4⋊Dic59C2311yescharacteristic
232C2×C4⋊Dic59C2311yescharacteristic
233C2×C4⋊Dic59C2311yescharacteristic
234C2×Dic59⋊C4C2311yescharacteristic
235C2×Dic59⋊C4C2311yescharacteristic
236C2×Dic59⋊C4C2311yescharacteristic
237C2×Dic59⋊C4C2311yescharacteristic
238C2×Dic59⋊C4C2311yescharacteristic
239C2×Dic59⋊C4C2311yescharacteristic
240C2×Dic59⋊C4C2311yescharacteristic
241C2×Dic59⋊C4C2311yescharacteristic
242C2×Dic59⋊C4C2311yescharacteristic
243C2×Dic59⋊C4C2311yescharacteristic
244C2×Dic59⋊C4C2311yescharacteristic
245C2×Dic59⋊C4C2311yescharacteristic
246C2×Dic59⋊C4C2311yescharacteristic
247C2×Dic59⋊C4C2311yescharacteristic
248C2×Dic59⋊C4C2311yescharacteristic
249C2×Dic59⋊C4C2311yescharacteristic
250C2×Dic59⋊C4C2311yescharacteristic
251C2×Dic59⋊C4C2311yescharacteristic
252C2×C22⋊Dic59C2311yescharacteristic
253C2×C22⋊Dic59C2311yescharacteristic
254C2×C22⋊Dic59C2311yescharacteristic
255C2×C22⋊Dic59C2311yescharacteristic
256C2×C22⋊Dic59C2311yescharacteristic
257C2×C22⋊Dic59C2311yescharacteristic
258C2×C22⋊Dic59C2311yescharacteristic
259C2×C22⋊Dic59C2311yescharacteristic
260C2×(C2×D59)⋊C4C2311yescharacteristic
261C2×(C2×D59)⋊C4C2311yescharacteristic
262C2×(C2×D59)⋊C4C2311yescharacteristic
263C2×(C2×D59)⋊C4C2311yescharacteristic
264C2×(C2×D59)⋊C4C2311yescharacteristic
265C2×(C2×D59)⋊C4C2311yescharacteristic
266C2×(C2×D59)⋊C4C2311yescharacteristic
267C2×(C2×D59)⋊C4C2311yescharacteristic
268C2×(C2×D59)⋊C4C2311yescharacteristic
269C2×(C2×D59)⋊C4C2311yescharacteristic
270C2×(C2×D59)⋊C4C2311yescharacteristic
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×(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×C4×Dic59C2311yescharacteristic
297C2×C4×Dic59C2311yescharacteristic
298C2×C4×Dic59C2311yescharacteristic
299C2×C4×Dic59C2311yescharacteristic
300C2×C4×Dic59C2311yescharacteristic
301C2×C4×Dic59C2311yescharacteristic
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
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C22×D4×C59C2311yescharacteristic
329C23×C4×C59C2311yescharacteristic
330C23×C4×C59C2311yescharacteristic
331C2×C4⋊C4×C59C2311yescharacteristic
332C2×C4⋊C4×C59C2311yescharacteristic
333C2×C4⋊C4×C59C2311yescharacteristic
334C2×C4⋊C4×C59C2311yescharacteristic
335C2×C4⋊C4×C59C2311yescharacteristic
336C2×C22⋊C4×C59C2311yescharacteristic
337C2×C22⋊C4×C59C2311yescharacteristic
338C2×C22⋊C4×C59C2311yescharacteristic
339C2×C22⋊C4×C59C2311yescharacteristic
340C2×C22⋊C4×C59C2311yescharacteristic
341C2×C22⋊C4×C59C2311yescharacteristic
342C2×C22⋊C4×C59C2311yescharacteristic
343C2×C22⋊C4×C59C2311yescharacteristic
344C2×C22⋊C4×C59C2311yescharacteristic
345C2×C22⋊C4×C59C2311yescharacteristic
346C2×C42×C59C2311yescharacteristic
347C2×C42×C59C2311yescharacteristic
348C2×C42×C59C2311yescharacteristic
349#95×C59C2311yescharacteristic
350#95×C59C2311yescharacteristic
351#95×C59C2311yescharacteristic
352#95×C59C2311yescharacteristic
353#95×C59C2311yescharacteristic
354#95×C59C2311yescharacteristic
355#95×C59C2311yescharacteristic
356#95×C59C2311yescharacteristic
357#95×C59C2311yescharacteristic
358#95×C59C2311yescharacteristic
359#95×C59C2311yescharacteristic
360#95×C59C2311yescharacteristic
361#95×C59C2311yescharacteristic
362#95×C59C2311yescharacteristic
363C24×C59C2411yescharacteristic
364C24×C59C2411yescharacteristic
365C23×D59—22no—
366C23×D59—22no—
367C23×D59—22no—
368C23×D59—41no—
369C23×D59—41no—
370C23×D59—41no—
371C23×D59—41no—
372C23×D59C2411yescharacteristic
373C23×D59C2411yescharacteristic
374C23×D59C2411yescharacteristic
375C23×D59C2411yescharacteristic
376C2×D4×C59—22no—
377C2×D4×C59—41no—
378C2×D4×C59—41no—
379C22×C4×C59—22no—
380C22×C4×C59—41no—
381C22×C4×C59—41no—
382C22×C4×C59—41no—
383C22×C4×C59—41no—
384C22×C4×C59—41no—
385C22×C4×C59C2411yescharacteristic
386C22×C4×C59C2411yescharacteristic
387C22×C4×C59C2411yescharacteristic
388C22×C4×C59C2411yescharacteristic
389C22×C4×C59C2411yescharacteristic
390C22×C4×C59C2411yescharacteristic
391C22×C4×C59C2411yescharacteristic
392C22×C4×C59C2411yescharacteristic
393C22×C4×C59C2411yescharacteristic
394C22×C4×C59C2411yescharacteristic
395C22×C4×C59C2411yescharacteristic
396C22×C4×C59C2411yescharacteristic
397C22×C4×C59C2411yescharacteristic
398C2×C22⋊D59—22no—
399C2×C22⋊D59—22no—
400C2×C22⋊D59—22no—
401C2×C22⋊D59—22no—
402C2×C22⋊D59—22no—
403C2×C22⋊D59—41no—
404C2×C22⋊D59—41no—
405C2×C22⋊D59—41no—
406C2×C22⋊D59—41no—
407C2×C22⋊D59—41no—
408C2×C22⋊D59—41no—
409C2×C22⋊D59—41no—
410C2×C22⋊D59—41no—
411C2×C22⋊D59—41no—
412C2×C22⋊D59—41no—
413C2×C22⋊D59—41no—
414C2×C22⋊D59—41no—
415C2×C22⋊D59—41no—
416C22×Dic59—22no—
417C22×Dic59—22no—
418C22×Dic59—41no—
419C22×Dic59C2411yescharacteristic
420C22×Dic59C2411yescharacteristic
421C22×Dic59C2411yescharacteristic
422C22×Dic59C2411yescharacteristic
423C22×Dic59C2411yescharacteristic
424C22×Dic59C2411yescharacteristic
425C22×Dic59C2411yescharacteristic
426C22×Dic59C2411yescharacteristic
427C22×Dic59C2411yescharacteristic
428C22×Dic59C2411yescharacteristic
429C22×Dic59C2411yescharacteristic
430C22×Dic59C2411yescharacteristic
431C2×D236—22no—
432C2×D236—22no—
433C2×D236—22no—
434C2×D236—22no—
435C2×D236—41no—
436C2×D236—41no—
437C2×D236—41no—
438C2×D236—41no—
439C2×D236—41no—
440C2×D236—41no—
441C2×D236—41no—
442C2×D236—41no—
443C2×D236—41no—
444C2×D236—41no—
445C2×D236—41no—
446C2×C4×D59—22no—
447C2×C4×D59—22no—
448C2×C4×D59—22no—
449C2×C4×D59—22no—
450C2×C4×D59—22no—
451C2×C4×D59—22no—
452C2×C4×D59—22no—
453C2×C4×D59—416no—
454C2×C4×D59—41no—
455C2×C4×D59—41no—
456C2×C4×D59—41no—
457C2×C4×D59—41no—
458C2×C4×D59—41no—
459C2×C4×D59—41no—
460C2×C4×D59—41no—
461C2×C4×D59—41no—
462C2×C4×D59—41no—
463C2×C4×D59—41no—
464C2×C4×D59#4114yes—
465C4⋊C4×C59—22no—
466C4⋊C4×C59—41no—
467C4⋊C4×C59—41no—
468C4⋊C4×C59—41no—
469C4⋊C4×C59—41no—
470C22⋊C4×C59—22no—
471C22⋊C4×C59—22no—
472C22⋊C4×C59—22no—
473C22⋊C4×C59—41no—
474C22⋊C4×C59—41no—
475C22⋊C4×C59—41no—
476C22⋊C4×C59—41no—
477C22⋊C4×C59—41no—
478C22⋊C4×C59—41no—
479C22⋊C4×C59—41no—
480C42×C59—41no—
481C42×C59—41no—
482C42×C59—41no—
483C22⋊Dic59—22no—
484C22⋊Dic59—22no—
485C22⋊Dic59—22no—
486C22⋊Dic59—22no—
487C22⋊Dic59—41no—
488C22⋊Dic59—41no—
489C22⋊Dic59—41no—
490C22⋊Dic59—41no—
491(C2×D59)⋊C4—22no—
492(C2×D59)⋊C4—22no—
493(C2×D59)⋊C4—22no—
494(C2×D59)⋊C4—22no—
495(C2×D59)⋊C4—22no—
496(C2×D59)⋊C4—22no—
497(C2×D59)⋊C4—22no—
498(C2×D59)⋊C4—22no—
499(C2×D59)⋊C4—22no—
500(C2×D59)⋊C4—41no—
501(C2×D59)⋊C4—41no—
502(C2×D59)⋊C4—41no—
503(C2×D59)⋊C4—41no—
504(C2×D59)⋊C4—41no—
505(C2×D59)⋊C4—41no—
506(C2×D59)⋊C4—41no—
507(C2×D59)⋊C4—41no—
508(C2×D59)⋊C4—41no—
509(C2×D59)⋊C4—41no—
510(C2×D59)⋊C4—41no—
511(C2×D59)⋊C4—41no—
512(C2×D59)⋊C4—41no—
513(C2×D59)⋊C4—41no—
514(C2×D59)⋊C4—41no—
515(C2×D59)⋊C4—41no—
516(C2×D59)⋊C4—41no—
517(C2×D59)⋊C4—41no—
518(C2×D59)⋊C4—41no—
519(C2×D59)⋊C4—41no—
520(C2×D59)⋊C4—41no—
521(C2×D59)⋊C4—41no—
522(C2×D59)⋊C4—41no—
523(C2×D59)⋊C4—41no—
524(C2×D59)⋊C4—41no—
525(C2×D59)⋊C4—41no—
526(C2×D59)⋊C4—41no—
527C4⋊Dic59—41no—
528C4⋊Dic59—41no—
529C4⋊Dic59—41no—
530C4⋊Dic59—41no—
531C4⋊Dic59—41no—
532C4⋊Dic59—41no—
533C4⋊Dic59—41no—
534Dic59⋊C4—22no—
535Dic59⋊C4—22no—
536Dic59⋊C4—22no—
537Dic59⋊C4—22no—
538Dic59⋊C4—22no—
539Dic59⋊C4—41no—
540Dic59⋊C4—41no—
541Dic59⋊C4—41no—
542Dic59⋊C4—41no—
543Dic59⋊C4—41no—
544Dic59⋊C4—41no—
545Dic59⋊C4—41no—
546Dic59⋊C4—41no—
547Dic59⋊C4—41no—
548Dic59⋊C4—41no—
549Dic59⋊C4—41no—
550Dic59⋊C4—41no—
551Dic59⋊C4—41no—
552C4×Dic59—41no—
553C4×Dic59—41no—
554C4×Dic59—41no—
555C4×Dic59—41no—
556C4×Dic59—41no—
557C4×Dic59—41no—
558C23×C59—21no—
559C23×C59—21no—
560C23×C59—21no—
561C23×C59—21no—
562C23×C59—21no—
563C23×C59—21no—
564C23×C59—21no—
565C23×C59—21no—
566C23×C59—21no—
567C23×C59—21no—
568C23×C59—21no—
569C23×C59—21no—
570C23×C59—21no—
571C23×C59H(5,𝔽2)12yes—
572C23×C59C2511yescharacteristic
573C22×D59—21no—
574C22×D59—21no—
575C22×D59—21no—
576C22×D59—21no—
577C22×D59—21no—
578C22×D59—21no—
579C22×D59—21no—
580C22×D59—21no—
581C22×D59—21no—
582C22×D59—21no—
583C22×D59—21no—
584C22×D59—21no—
585C22×D59—21no—
586C22×D59—21no—
587C22×D59—21no—
588C22×D59—21no—
589C22×D59—21no—
590C22×D59—21no—
591C22×D59—21no—
592C22×D59—21no—
593C22×D59—21no—
594C22×D59—21no—
595C22×D59—21no—
596C22×D59—21no—
597C22×D59—21no—
598C22×D59—21no—
599C22×D59—44no—
600C22×D59—44no—
601C22×D59—44no—
602C22×D59—44no—
603C22×D59—44no—
604C22×D59—44no—
605C22×D59—44no—
606C22×D59C2×#4112yes—
607C22×D59H(5,𝔽2)12yes—
608D4×C59—82no—
609C2×C4×C59—21no—
610C2×C4×C59—21no—
611C2×C4×C59—21no—
612C2×C4×C59—21no—
613C2×C4×C59—21no—
614C2×C4×C59—21no—
615C2×C4×C59—21no—
616C2×C4×C59—21no—
617C2×C4×C59—21no—
618C2×C4×C59—21no—
619C2×C4×C59—21no—
620C2×C4×C59—21no—
621C2×C4×C59—21no—
622C2×C4×C59—21no—
623C2×C4×C59—21no—
624C2×C4×C59—21no—
625C2×C4×C59—21no—
626C2×C4×C59—21no—
627C2×C4×C59—21no—
628C2×C4×C59—21no—
629C2×C4×C59—21no—
630C2×C4×C59—21no—
631C2×C4×C59—21no—
632C2×C4×C59—21no—
633C2×C4×C59—21no—
634C2×C4×C59—21no—
635C2×C4×C59—21no—
636C2×C4×C59—21no—
637C2×C4×C59—21no—
638C2×C4×C59—21no—
639C2×C4×C59—21no—
640C2×C4×C59—21no—
641C2×C4×C59—21no—
642C2×C4×C59—21no—
643C2×C4×C59—21no—
644C2×C4×C59—21no—
645C2×C4×C59—21no—
646C2×C4×C59—21no—
647C2×C4×C59—44no—
648C2×C4×C59—82no—
649C2×C4×C59C2×#4112yes—
650C22⋊D59—82no—
651C22⋊D59—82no—
652C22⋊D59—82no—
653C22⋊D59—82no—
654C22⋊D59—82no—
655C22⋊D59—82no—
656C2×Dic59—21no—
657C2×Dic59—21no—
658C2×Dic59—21no—
659C2×Dic59—21no—
660C2×Dic59—21no—
661C2×Dic59—21no—
662C2×Dic59—21no—
663C2×Dic59—21no—
664C2×Dic59—21no—
665C2×Dic59—21no—
666C2×Dic59—21no—
667C2×Dic59—21no—
668C2×Dic59—21no—
669C2×Dic59—21no—
670C2×Dic59—21no—
671C2×Dic59—21no—
672C2×Dic59—21no—
673C2×Dic59—21no—
674C2×Dic59—21no—
675C2×Dic59—21no—
676C2×Dic59—21no—
677C2×Dic59—21no—
678C2×Dic59—21no—
679C2×Dic59—21no—
680C2×Dic59—21no—
681C2×Dic59—21no—
682C2×Dic59—21no—
683C2×Dic59—21no—
684C2×Dic59—21no—
685C2×Dic59—21no—
686C2×Dic59—21no—
687C2×Dic59—21no—
688C2×Dic59—21no—
689C2×Dic59—21no—
690C2×Dic59—44no—
691C2×Dic59C2×#4112yes—
692C2×Dic59H(5,𝔽2)12yes—
693D236—82no—
694D236—82no—
695D236—82no—
696D236—82no—
697D236—82no—
698C4×D59—28no—
699C4×D59—44no—
700C4×D59—44no—
701C4×D59—44no—
702C4×D59—82no—
703C4×D59—82no—
704#36734—591nomaximal, Sylow
705C22×C59—22no—
706C22×C59—22no—
707C22×C59—22no—
708C22×C59—41no—
709C22×C59—41no—
710C22×C59—41no—
711C22×C59—41no—
712C22×C59—41no—
713C22×C59—41no—
714C22×C59—41no—
715C22×C59—41no—
716C22×C59—41no—
717C22×C59—41no—
718C22×C59—41no—
719C22×C59C22×#4111yescharacteristic
720C22×C59C2×H(5,𝔽2)11yescharacteristic
721C22×C59C2×H(5,𝔽2)11yescharacteristic
722C22×C59C2×H(5,𝔽2)11yescharacteristic
723C22×C59#58511yescharacteristic
724C22×C59#58511yescharacteristic
725C22×C59#58511yescharacteristic
726C2×D59—22no—
727C2×D59—22no—
728C2×D59—22no—
729C2×D59—22no—
730C2×D59—22no—
731C2×D59—22no—
732C2×D59—416no—
733C2×D59—41no—
734C2×D59—41no—
735C2×D59—41no—
736C2×D59—41no—
737C2×D59—41no—
738C2×D59—41no—
739C2×D59—41no—
740C2×D59—41no—
741C2×D59—41no—
742C2×D59—41no—
743C2×D59—41no—
744C2×D59—41no—
745C2×D59—41no—
746C2×D59—41no—
747C2×D59—41no—
748C2×D59—41no—
749C2×D59—41no—
750C2×D59—41no—
751C2×D59—41no—
752C2×D59—41no—
753C2×D59—41no—
754C2×D59—41no—
755C4×C59—22no—
756C4×C59—41no—
757C4×C59—41no—
758C4×C59—41no—
759C4×C59—41no—
760C4×C59—41no—
761C4×C59—41no—
762C4×C59—41no—
763C4×C59—41no—
764C4×C59—41no—
765C4×C59—41no—
766C4×C59—41no—
767C4×C59—41no—
768Dic59—22no—
769Dic59—22no—
770Dic59—41no—
771Dic59—41no—
772Dic59—41no—
773Dic59—41no—
774Dic59—41no—
775Dic59—41no—
776Dic59—41no—
777Dic59—41no—
778Dic59—41no—
779Dic59—41no—
780#2849—591no—
781#2847—591no—
782#2746—591no—
783#2746—591no—
784#2744—591no—
785#2743—591no—
786#2741—591no—
787#2722—591no—
788#2706—591no—
789#2705—591no—
790#2701—591no—
791#2699—591no—
792#2691—591no—
793#2685—591no—
794#2685—591no—
795#2678—591no—
796#2671—591no—
797#2668—591no—
798#2667—591no—
799#2661—591no—
800#2595—591no—
801#2576D5911yescharacteristic, complemented
802#2559—591no—
803#2559—591no—
804#2479—591no—
805#2476—591no—
806#2471—591no—
807#2470—591no—
808#2335—591no—
809#2333—591no—
810#2280—591no—
811C2×C59—42no—
812C2×C59—81no—
813C2×C59#345511yescharacteristic
814C2×C59#349011yescharacteristic
815C2×C59#349411yescharacteristic
816C2×C59#353311yescharacteristic
817C2×C59#353411yescharacteristic
818C2×C59#353911yescharacteristic
819C2×C59#354211yescharacteristic
820D59—42no—
821D59—42no—
822D59—81no—
823D59—81no—
824C24×C4—591no—
825C2×#126—591no—
826C2×#126—591no—
827C2×#126—591no—
828C2×#123—591no—
829C2×#123—591no—
830C2×#123—591no—
831C2×#123—591no—
832C2×#121—591no—
833C2×#121—591no—
834C2×#121—591no—
835C2×#121—591no—
836C2×#121—591no—
837C2×#121—591no—
838C2×#120—591no—
839C2×#120—591no—
840C2×#120—591no—
841C2×#117—591no—
842C2×#117—591no—
843#401C2×D5911yescharacteristic, complemented
844#400—591no—
845#400—591no—
846#400—591no—
847#400—591no—
848#399—591no—
849#399—591no—
850#399—591no—
851#399—591no—
852#399—591no—
853#398—591no—
854#398—591no—
855#398—591no—
856#398—591no—
857#398—591no—
858#398—591no—
859#398—591no—
860#397—591no—
861#397—591no—
862#397—591no—
863#397—591no—
864#397—591no—
865#397C2×D5911yescharacteristic
866#396—591no—
867#396—591no—
868#396—591no—
869#396—591no—
870#396C2×D5911yescharacteristic, complemented
871#394—591no—
872#394—591no—
873#394—591no—
874#394—591no—
875#394—591no—
876#394—591no—
877#394—591no—
878#394—591no—
879#394—591no—
880#394—591no—
881#394—591no—
882#394—591no—
883#394—591no—
884#394—591no—
885#394—591no—
886#394C2×D5911yescharacteristic
887#392—591no—
888#392—591no—
889#392—591no—
890#392—591no—
891#390—591no—
892#390—591no—
893#390—591no—
894#390—591no—
895#390—591no—
896#390—591no—
897#390—591no—
898#390—591no—
899#389—591no—
900#389—591no—
901#389—591no—
902#389—591no—
903#388—591no—
904#388—591no—
905#388—591no—
906#388—591no—
907#388—591no—
908#388—591no—
909#388—591no—
910#388—591no—
911#388—591no—
912#388—591no—
913#388—591no—
914#388—591no—
915#388—591no—
916#388—591no—
917#388—591no—
918#388C2×D5911yescharacteristic
919#388C2×D5911yescharacteristic, complemented
920#387—591no—
921#387—591no—
922#387—591no—
923#387—591no—
924#387—591no—
925#387—591no—
926#387—591no—
927#387C2×D5911yescharacteristic, complemented
928#387C2×D5911yescharacteristic, complemented
929#386—591no—
930#386—591no—
931#386—591no—
932#386—591no—
933#386—591no—
934#386—591no—
935#386—591no—
936#386—591no—
937#386—591no—
938#386—591no—
939#386—591no—
940#386—591no—
941#386—591no—
942#386—591no—
943#386—591no—
944#386C2×D5911yescharacteristic
945#386C2×D5911yescharacteristic
946#385—591no—
947#385—591no—
948#385—591no—
949#385—591no—
950#385—591no—
951#385—591no—
952#385—591no—
953#385—591no—
954#385C2×D5911yescharacteristic
955#382C2×D5911yescharacteristic, complemented
956#381—591no—
957#381—591no—
958#381—591no—
959#381—591no—
960#381C2×D5911yescharacteristic, complemented
961#380—591no—
962#380—591no—
963#380—591no—
964#380—591no—
965#380—591no—
966#380—591no—
967#380—591no—
968#379—591no—
969#379—591no—
970#379—591no—
971C4×C4⋊C4—591no—
972C4×C22⋊C4—591no—
973C4×C22⋊C4—591no—
974C4×C22⋊C4—591no—
975C4×C22⋊C4—591no—
976C4×C22⋊C4—591no—
977C4×C22⋊C4C2×D5911yescharacteristic
978C4×C22⋊C4C2×D5911yescharacteristic, complemented
979C59#3673411yescharacteristic, complemented, Sylow
980C25—591no—
981C22×D4—591no—
982C22×D4—591no—
983C22×D4—591no—
984C22×D4—591no—
985C22×D4—591no—
986C22×D4—591no—
987C22×D4—591no—
988C22×D4—591no—
989C22×D4—591no—
990C22×D4—591no—
991C22×D4—591no—
992C22×D4C22×D5911yescharacteristic
993C23×C4—591no—
994C23×C4—591no—
995C23×C4—591no—
996C23×C4—591no—
997C23×C4—591no—
998C23×C4—591no—
999C23×C4—591no—
1000C23×C4—1184no—
1001C23×C4—2362no—
1002C23×C4—2362no—
1003C23×C4C22×D5911yescharacteristic
1004C23×C4C22×D5911yescharacteristic
1005#126—2362no—
1006#126—2362no—
1007#126—2362no—
1008#123—1184no—
1009#123—2362no—
1010#123—2362no—
1011#123—2362no—
1012#121—1184no—
1013#121—2362no—
1014#121—2362no—
1015#121—2362no—
1016#121—2362no—
1017#121—2362no—
1018#120—2362no—
1019#120—2362no—
1020#120—2362no—
1021#117—2362no—
1022#117—2362no—
1023C2×C4⋊C4—591no—
1024C2×C4⋊C4—591no—
1025C2×C4⋊C4—591no—
1026C2×C4⋊C4—591no—
1027C2×C4⋊C4—591no—
1028C2×C4⋊C4—591no—
1029C2×C4⋊C4—591no—
1030C2×C4⋊C4—591no—
1031C2×C4⋊C4—591no—
1032C2×C4⋊C4—591no—
1033C2×C4⋊C4—591no—
1034C2×C4⋊C4—591no—
1035C2×C4⋊C4—591no—
1036C2×C4⋊C4—591no—
1037C2×C4⋊C4—591no—
1038C2×C4⋊C4—591no—
1039C2×C4⋊C4—591no—
1040C2×C4⋊C4—591no—
1041C2×C4⋊C4—591no—
1042C2×C4⋊C4—591no—
1043C2×C4⋊C4—591no—
1044C2×C4⋊C4—591no—
1045C2×C4⋊C4—591no—
1046C2×C4⋊C4—591no—
1047C2×C4⋊C4—591no—
1048C2×C4⋊C4C22×D5911yescharacteristic
1049C2×C4⋊C4C22×D5911yescharacteristic
1050C2×C4⋊C4C22×D5911yescharacteristic
1051C2×C4⋊C4C22×D5911yescharacteristic
1052C2×C4⋊C4C22×D5911yescharacteristic
1053C2×C22⋊C4—591no—
1054C2×C22⋊C4—591no—
1055C2×C22⋊C4—591no—
1056C2×C22⋊C4—591no—
1057C2×C22⋊C4—591no—
1058C2×C22⋊C4—591no—
1059C2×C22⋊C4—591no—
1060C2×C22⋊C4—591no—
1061C2×C22⋊C4—591no—
1062C2×C22⋊C4—591no—
1063C2×C22⋊C4—591no—
1064C2×C22⋊C4—591no—
1065C2×C22⋊C4—591no—
1066C2×C22⋊C4—591no—
1067C2×C22⋊C4—591no—
1068C2×C22⋊C4—591no—
1069C2×C22⋊C4—591no—
1070C2×C22⋊C4—591no—
1071C2×C22⋊C4—591no—
1072C2×C22⋊C4—591no—
1073C2×C22⋊C4—591no—
1074C2×C22⋊C4—591no—
1075C2×C22⋊C4—591no—
1076C2×C22⋊C4—591no—
1077C2×C22⋊C4—591no—
1078C2×C22⋊C4—591no—
1079C2×C22⋊C4—591no—
1080C2×C22⋊C4—591no—
1081C2×C22⋊C4—591no—
1082C2×C22⋊C4—591no—
1083C2×C22⋊C4—591no—
1084C2×C22⋊C4—591no—
1085C2×C22⋊C4—591no—
1086C2×C22⋊C4—591no—
1087C2×C22⋊C4—591no—
1088C2×C22⋊C4—591no—
1089C2×C22⋊C4—591no—
1090C2×C22⋊C4—591no—
1091C2×C22⋊C4—591no—
1092C2×C22⋊C4—591no—
1093C2×C22⋊C4—591no—
1094C2×C22⋊C4—591no—
1095C2×C22⋊C4—591no—
1096C2×C22⋊C4—591no—
1097C2×C22⋊C4C22×D5911yescharacteristic
1098C2×C22⋊C4C22×D5911yescharacteristic
1099C2×C22⋊C4C22×D5911yescharacteristic
1100C2×C22⋊C4C22×D5911yescharacteristic
1101C2×C22⋊C4C22×D5911yescharacteristic
1102C2×C22⋊C4C22×D5911yescharacteristic
1103C2×C22⋊C4C22×D5911yescharacteristic
1104C2×C22⋊C4C22×D5911yescharacteristic
1105C2×C22⋊C4C22×D5911yescharacteristic
1106C2×C22⋊C4C22×D5911yescharacteristic
1107C2×C42—591no—
1108C2×C42—591no—
1109C2×C42—591no—
1110C2×C42—591no—
1111C2×C42—591no—
1112C2×C42—591no—
1113C2×C42C22×D5911yescharacteristic
1114C2×C42C22×D5911yescharacteristic
1115C2×C42C22×D5911yescharacteristic
1116#95—591no—
1117#95—591no—
1118#95—591no—
1119#95—591no—
1120#95—591no—
1121#95—591no—
1122#95—591no—
1123#95—591no—
1124#95—591no—
1125#95—591no—
1126#95—591no—
1127#95—591no—
1128#95—591no—
1129#95—591no—
1130#95—591no—
1131#95—591no—
1132#95—591no—
1133#95—591no—
1134#95—591no—
1135#95—591no—
1136#95—591no—
1137#95—591no—
1138#95—591no—
1139#95—591no—
1140#95—591no—
1141#95—591no—
1142#95C22×D5911yescharacteristic
1143#95C22×D5911yescharacteristic
1144#95C22×D5911yescharacteristic
1145#95C22×D5911yescharacteristic
1146#95C22×D5911yescharacteristic
1147#95C22×D5911yescharacteristic
1148#95C22×D5911yescharacteristic
1149#95C22×D5911yescharacteristic
1150#95C22×D5911yescharacteristic
1151#95C22×D5911yescharacteristic
1152#95C22×D5911yescharacteristic
1153#95C22×D5911yescharacteristic
1154#95C22×D5911yescharacteristic
1155#95C22×D5911yescharacteristic
1156C24—591no—
1157C24—591no—
1158C24—591no—
1159C24—591no—
1160C24—1182no—
1161C24—1182no—
1162C24—1182no—
1163C24—2361no—
1164C24—2361no—
1165C24—2361no—
1166C24—2361no—
1167C24C23×D5911yescharacteristic
1168C24C23×D5911yescharacteristic
1169C2×D4—22no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—1182no—
1173C2×D4—1182no—
1174C2×D4—1182no—
1175C2×D4—1182no—
1176C2×D4—1182no—
1177C2×D4—1182no—
1178C2×D4—1182no—
1179C2×D4—1182no—
1180C2×D4—1182no—
1181C2×D4—2361no—
1182C2×D4—2361no—
1183C2×D4—2361no—
1184C2×D4—2361no—
1185C2×D4—2361no—
1186C2×D4—2361no—
1187C2×D4—2361no—
1188C2×D4—2361no—
1189C2×D4—2361no—
1190C2×D4—2361no—
1191C2×D4—2361no—
1192C2×D4—2361no—
1193C2×D4—2361no—
1194C2×D4—2361no—
1195C2×D4—2361no—
1196C2×D4—2361no—
1197C2×D4—2361no—
1198C2×D4—2361no—
1199C2×D4—2361no—
1200C2×D4—2361no—
1201C2×D4—2361no—
1202C2×D4—2361no—
1203C2×D4—2361no—
1204C2×D4—2361no—
1205C22×C4—22no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—591no—
1212C22×C4—591no—
1213C22×C4—594no—
1214C22×C4—591no—
1215C22×C4—591no—
1216C22×C4—591no—
1217C22×C4—591no—
1218C22×C4—591no—
1219C22×C4—591no—
1220C22×C4—591no—
1221C22×C4—591no—
1222C22×C4—591no—
1223C22×C4—591no—
1224C22×C4—1182no—
1225C22×C4—1182no—
1226C22×C4—1182no—
1227C22×C4—1182no—
1228C22×C4—1182no—
1229C22×C4—1182no—
1230C22×C4—1182no—
1231C22×C4—1182no—
1232C22×C4—1182no—
1233C22×C4—2361no—
1234C22×C4—2361no—
1235C22×C4—2361no—
1236C22×C4—2361no—
1237C22×C4—2361no—
1238C22×C4—2361no—
1239C22×C4—2361no—
1240C22×C4—2361no—
1241C22×C4—2361no—
1242C22×C4—2361no—
1243C22×C4—23616no—
1244C22×C4—2361no—
1245C22×C4C23×D5911yescharacteristic
1246C22×C4C23×D5911yescharacteristic
1247C22×C4C23×D5911yescharacteristic
1248C22×C4C23×D5911yescharacteristic
1249C22×C4C23×D5911yescharacteristic
1250C22×C4C23×D5911yescharacteristic
1251C22×C4C23×D5911yescharacteristic
1252C22×C4C23×D5911yescharacteristic
1253C22×C4C23×D5911yescharacteristic
1254C22×C4C23×D5911yescharacteristic
1255C22×C4C23×D5911yescharacteristic
1256C22×C4C23×D5911yescharacteristic
1257C22×C4C23×D5911yescharacteristic
1258C4⋊C4—22no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—1182no—
1264C4⋊C4—1182no—
1265C4⋊C4—1182no—
1266C4⋊C4—1182no—
1267C4⋊C4—1182no—
1268C4⋊C4—2361no—
1269C4⋊C4—2361no—
1270C4⋊C4—2361no—
1271C4⋊C4—2361no—
1272C4⋊C4—2361no—
1273C4⋊C4—2361no—
1274C4⋊C4—2361no—
1275C4⋊C4—2361no—
1276C4⋊C4—2361no—
1277C4⋊C4—2361no—
1278C4⋊C4—2361no—
1279C4⋊C4—2361no—
1280C4⋊C4—2361no—
1281C4⋊C4—2361no—
1282C4⋊C4—2361no—
1283C4⋊C4—2361no—
1284C4⋊C4—2361no—
1285C4⋊C4—2361no—
1286C4⋊C4—2361no—
1287C4⋊C4—2361no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—1182no—
1299C22⋊C4—1182no—
1300C22⋊C4—1182no—
1301C22⋊C4—1182no—
1302C22⋊C4—1182no—
1303C22⋊C4—1182no—
1304C22⋊C4—1182no—
1305C22⋊C4—1182no—
1306C22⋊C4—1182no—
1307C22⋊C4—1182no—
1308C22⋊C4—1182no—
1309C22⋊C4—1182no—
1310C22⋊C4—1182no—
1311C22⋊C4—2361no—
1312C22⋊C4—2361no—
1313C22⋊C4—2361no—
1314C22⋊C4—2361no—
1315C22⋊C4—2361no—
1316C22⋊C4—2361no—
1317C22⋊C4—2361no—
1318C22⋊C4—2361no—
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—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—
1342C42—41no—
1343C42—41no—
1344C42—41no—
1345C42—2361no—
1346C42—2361no—
1347C42—2361no—
1348C42—2361no—
1349C42—2361no—
1350C42—2361no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—592no—
1365C23—592no—
1366C23—1181no—
1367C23—1181no—
1368C23—1181no—
1369C23—1181no—
1370C23—1181no—
1371C23—1181no—
1372C23—1181no—
1373C23—1181no—
1374C23—1181no—
1375C23—1181no—
1376C23—1181no—
1377C23—1181no—
1378C23—1181no—
1379C23—1181no—
1380C23—1181no—
1381C23—1181no—
1382C23—1181no—
1383C23—1181no—
1384C23—1181no—
1385C23—1181no—
1386C23—1181no—
1387C23—1181no—
1388C23—1181no—
1389C23—1181no—
1390C23—1181no—
1391C23—1181no—
1392C23—2364no—
1393C23—2364no—
1394C23—2364no—
1395C23—2364no—
1396C23—2364no—
1397C23—2364no—
1398C23—2364no—
1399C23#1427377312yes—
1400C23C24×D5911yescharacteristic
1401D4—82no—
1402D4—4722no—
1403D4—4722no—
1404D4—4722no—
1405D4—4722no—
1406D4—4722no—
1407D4—4722no—
1408D4—4722no—
1409D4—4722no—
1410D4—4722no—
1411D4—4722no—
1412D4—4722no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—44no—
1452C2×C4—82no—
1453C2×C4—592no—
1454C2×C4—592no—
1455C2×C4—1188no—
1456C2×C4—1181no—
1457C2×C4—1181no—
1458C2×C4—1181no—
1459C2×C4—1181no—
1460C2×C4—1181no—
1461C2×C4—1181no—
1462C2×C4—1181no—
1463C2×C4—1181no—
1464C2×C4—1181no—
1465C2×C4—1181no—
1466C2×C4—1181no—
1467C2×C4—1181no—
1468C2×C4—1181no—
1469C2×C4—1181no—
1470C2×C4—1181no—
1471C2×C4—1181no—
1472C2×C4—1181no—
1473C2×C4—1181no—
1474C2×C4—1181no—
1475C2×C4—1181no—
1476C2×C4—1181no—
1477C2×C4—1181no—
1478C2×C4—1181no—
1479C2×C4—1181no—
1480C2×C4—1181no—
1481C2×C4—1181no—
1482C2×C4—1181no—
1483C2×C4—1181no—
1484C2×C4—1181no—
1485C2×C4—1181no—
1486C2×C4—1181no—
1487C2×C4—1181no—
1488C2×C4—1181no—
1489C2×C4—1181no—
1490C2×C4—4722no—
1491C2×C4—4722no—
1492C2×C4—2364no—
1493C2×C4—2364no—
1494C2×C4—2364no—
1495C2×C4—2364no—
1496C2×C4#41×D5912yes—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—1182no—
1512C22—1182no—
1513C22—1182no—
1514C22—1182no—
1515C22—1182no—
1516C22—1182no—
1517C22—23616no—
1518C22—2361no—
1519C22—2361no—
1520C22—2361no—
1521C22—2361no—
1522C22—2361no—
1523C22—2361no—
1524C22—2361no—
1525C22—2361no—
1526C22—2361no—
1527C22—2361no—
1528C22—2361no—
1529C22—2361no—
1530C22—2361no—
1531C22—2361no—
1532C22—2361no—
1533C22—2361no—
1534C22—2361no—
1535C22—2361no—
1536C22—2361no—
1537C22—2361no—
1538C22—2361no—
1539C22—2361no—
1540C22C2×#41×D5911yescharacteristic
1541C22H(5,𝔽2)×D5911yescharacteristic
1542C22H(5,𝔽2)×D5911yescharacteristic
1543C22C2×#1427377311yescharacteristic
1544C22#1683823811yescharacteristic
1545C22#1683823811yescharacteristic
1546C22#1683823811yescharacteristic
1547C4—22no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—1182no—
1561C4—1182no—
1562C4—2361no—
1563C4—2361no—
1564C4—2361no—
1565C4—2361no—
1566C4—2361no—
1567C4—2361no—
1568C4—2361no—
1569C4—2361no—
1570C4—2361no—
1571C4—2361no—
1572C2—42no—
1573C2—81no—
1574C2—4721no—
1575C2—4721no—
1576C2—2362no—
1577C2—2362no—
1578C2#2143747911yescharacteristic
1579C2#2143778211yescharacteristic
1580C2#2143781911yescharacteristic
1581C2#2143826111yescharacteristic
1582C2#2143827311yescharacteristic
1583C2#2143834611yescharacteristic
1584C2#2143840511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2576C2
hypercenter#2576D59
hypocenterC59#36734
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2576

Complements

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

NH ≅ G/Ntype
1. #21432391C2semidirect
2. #21432377C2semidirect
3. #21431273C2semidirect
4. #21431273C2semidirect
5. #21431251C2semidirect
6. #21431232C2semidirect
7. #21431212C2semidirect
8. #21430999C2semidirect
9. #21430781C2semidirect
10. #21430774C2semidirect
11. #21430702C2semidirect
12. #21430683C2semidirect
13. #21430574C2semidirect
14. #21430493C2semidirect
15. #21430485C2semidirect
16. #21430420C2semidirect
17. #21430331C2semidirect
18. #21430302C2semidirect
19. #21430296C2semidirect
20. #21430228C2semidirect
21. #21429614C2semidirect
22. #21429224C2semidirect
23. #21429219C2semidirect
24. #21428332C2semidirect
25. #21428282C2semidirect
26. #21428214C2semidirect
27. #21428194C2semidirect
28. #21426892C2semidirect
29. #21426856C2semidirect
30. #21426477C2semidirect
31. C59×#2576C2semidirect
35. C2×#14273720C22semidirect
39. C2×#14273712C22semidirect
51. #16837344C22semidirect
52. #16837344C22semidirect
53. #16837343C22semidirect
54. #16837342C22semidirect
57. #16837338C22semidirect
59. #16837337C22semidirect
60. #16837336C22semidirect
61. #16837336C22semidirect
62. #16837336C22semidirect
63. #16837336C22semidirect
64. #16837336C22semidirect
65. #16837335C22semidirect
66. #16837332C22semidirect
67. #16837331C22semidirect
68. #16837331C22semidirect
70. #16837328C22semidirect
73. #16837326C22semidirect
79. #16837320C22semidirect
87. #16837317C22semidirect
88. #16837317C22semidirect
89. #16837317C22semidirect
94. #16837311C22semidirect
96. #16837304C22semidirect
102. #16837302C22semidirect
103. #16837300C22semidirect
104. #16837299C22semidirect
105. #16837297C22semidirect
106. #16837297C22semidirect
107. #16837296C22semidirect
108. #16837295C22semidirect
110. #16837294C22semidirect
111. #16837294C22semidirect
113. #16837293C22semidirect
114. #16837293C22semidirect
115. #16837292C22semidirect
119. #16837291C22semidirect
120. #16837291C22semidirect
122. #16837289C22semidirect
123. #16837289C22semidirect
124. #16837289C22semidirect
125. #16837289C22semidirect
126. #16837286C22semidirect
127. #16837284C22semidirect
128. #16837283C22semidirect
132. #16837281C22semidirect
143. #16837278C22semidirect
144. #16837276C22semidirect
145. #16837276C22semidirect
146. #16837276C22semidirect
147. #16837276C22semidirect
148. #16837275C22semidirect
166. C4⋊C4×Dic59C22semidirect
169. C4×(C2×D59)⋊C4C22semidirect
171. #16837249C22semidirect
172. C59×#401C22semidirect
174. C59×#396C22semidirect
177. C59×#388C22semidirect
178. C59×#387C22semidirect
179. C59×#387C22semidirect
183. C59×#382C22semidirect
184. C59×#381C22semidirect
186. C4×C22⋊C4×C59C22semidirect
801. #2576D59semidirect
843. #401C2×D59semidirect
870. #396C2×D59semidirect
919. #388C2×D59semidirect
927. #387C2×D59semidirect
928. #387C2×D59semidirect
955. #382C2×D59semidirect
960. #381C2×D59semidirect
978. C4×C22⋊C4C2×D59semidirect
979. C59#36734semidirect

Maximal subgroups

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

subgroupindex
#214323912
#214323772
#214312732
#214312512
#214312322
#214312122
#214309992
#214307812
#214307742
#214307022
#214306832
#214305742
#214304932
#214304852
#214304202
#214303312
#214303022
#214302962
#214302282
#214296142
#214292242
#214292192
#214283322
#214282822
#214282142
#214281942
#214268922
#214268562
#214264772
C59×#25762
#3673459