Finite Group Databasebeta

← #28797599

Subgroups — #28797599

Order 15104.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432413C211yesmaximal, characteristic, complemented
2#21432393C211yesmaximal, characteristic, complemented
3#21432072C211yesmaximal, characteristic, complemented
4#21432034C211yesmaximal, characteristic, complemented
5#21432032C211yesmaximal, characteristic, complemented
6#21431805C211yesmaximal, characteristic, complemented
7#21431766C211yesmaximal, characteristic, complemented
8#21431730C211yesmaximal, characteristic, complemented
9#21431721C211yesmaximal, characteristic, complemented
10#21431665C211yesmaximal, characteristic, complemented
11#21431470C211yesmaximal, characteristic, complemented
12#21431414C211yesmaximal, characteristic, complemented
13#21431413C211yesmaximal, characteristic, complemented
14#21431342C211yesmaximal, characteristic, complemented
15#21431123C211yesmaximal, characteristic, complemented
16#21430910C211yesmaximal, characteristic, complemented
17#21430891C211yesmaximal, characteristic, complemented
18#21430495C211yesmaximal, characteristic, complemented
19#21429873C211yesmaximal, characteristic, complemented
20#21429833C211yesmaximal, characteristic, complemented
21#21428222C211yesmaximal, characteristic, complemented
22#21427846C211yesmaximal, characteristic, complemented
23#21427778C211yesmaximal, characteristic, complemented
24#21427704C211yesmaximal, characteristic, complemented
25#21427634C211yesmaximal, characteristic, complemented
26#21427479C211yesmaximal, characteristic, complemented
27#21427414C211yesmaximal, characteristic, complemented
28#21426767C211yesmaximal, characteristic, complemented
29#21426683C211yesmaximal, characteristic, complemented
30C2×#16837291C211yesmaximal, characteristic, complemented
31C59×#2510C211yesmaximal, characteristic, complemented
32C22×#11745687C2211yescharacteristic
33C2×#14273722C2211yescharacteristic, complemented
34C2×#14273715C2211yescharacteristic
35C2×#14273713C2211yescharacteristic, complemented
36C2×#14273711C2211yescharacteristic
37C2×#14273704C2211yescharacteristic
38C2×#14273701C2211yescharacteristic
39C2×#14273700C2211yescharacteristic
40C2×#14273699C2211yescharacteristic
41C2×#14273697C2211yescharacteristic
42C2×#14273697C2211yescharacteristic
43C2×#14273695C2211yescharacteristic
44C2×C4×C22⋊D59C2211yescharacteristic
45C2×#14273683C2211yescharacteristic
46C22×Dic59⋊C4C2211yescharacteristic
47C22×(C2×D59)⋊C4C2211yescharacteristic
48C22×(C2×D59)⋊C4C2211yescharacteristic
49C22×(C2×D59)⋊C4C2211yescharacteristic
50C22×C4×Dic59C2211yescharacteristic
51#16837344C2211yescharacteristic, complemented
52#16837343C2211yescharacteristic, complemented
53#16837336C2211yescharacteristic, complemented
54#16837333C2211yescharacteristic, complemented
55#16837331C2211yescharacteristic
56#16837331C2211yescharacteristic
57#16837331C2211yescharacteristic, complemented
58#16837331C2211yescharacteristic, complemented
59#16837329C2211yescharacteristic
60#16837329C2211yescharacteristic
61#16837329C2211yescharacteristic
62#16837329C2211yescharacteristic
63#16837329C2211yescharacteristic
64#16837326C2211yescharacteristic
65#16837324C2211yescharacteristic
66#16837324C2211yescharacteristic
67#16837323C2211yescharacteristic, complemented
68#16837322C2211yescharacteristic, complemented
69#16837320C2211yescharacteristic
70#16837320C2211yescharacteristic
71#16837320C2211yescharacteristic
72#16837320C2211yescharacteristic
73#16837320C2211yescharacteristic
74#16837320C2211yescharacteristic, complemented
75#16837319C2211yescharacteristic
76#16837319C2211yescharacteristic
77#16837319C2211yescharacteristic
78#16837319C2211yescharacteristic
79#16837318C2211yescharacteristic
80#16837318C2211yescharacteristic
81#16837318C2211yescharacteristic, complemented
82#16837317C2211yescharacteristic
83#16837317C2211yescharacteristic
84#16837317C2211yescharacteristic
85#16837315C2211yescharacteristic
86#16837315C2211yescharacteristic
87#16837315C2211yescharacteristic
88#16837315C2211yescharacteristic, complemented
89#16837312C2211yescharacteristic
90#16837312C2211yescharacteristic
91#16837311C2211yescharacteristic
92#16837311C2211yescharacteristic
93#16837311C2211yescharacteristic
94#16837311C2211yescharacteristic, complemented
95#16837306C2211yescharacteristic, complemented
96#16837306C2211yescharacteristic, complemented
97#16837306C2211yescharacteristic, complemented
98#16837306C2211yescharacteristic, complemented
99#16837304C2211yescharacteristic
100#16837303C2211yescharacteristic
101#16837303C2211yescharacteristic
102#16837302C2211yescharacteristic
103#16837302C2211yescharacteristic, complemented
104#16837302C2211yescharacteristic, complemented
105#16837302C2211yescharacteristic, complemented
106#16837300C2211yescharacteristic, complemented
107#16837300C2211yescharacteristic, complemented
108#16837297C2211yescharacteristic, complemented
109#16837295C2211yescharacteristic, complemented
110#16837294C2211yescharacteristic
111#16837294C2211yescharacteristic
112#16837294C2211yescharacteristic, complemented
113#16837294C2211yescharacteristic, complemented
114#16837293C2211yescharacteristic
115#16837293C2211yescharacteristic
116#16837293C2211yescharacteristic, complemented
117#16837293C2211yescharacteristic, complemented
118#16837292C2211yescharacteristic, complemented
119#16837291C2211yescharacteristic
120#16837291C2211yescharacteristic
121#16837291C2211yescharacteristic
122#16837291C2211yescharacteristic
123#16837291C2211yescharacteristic
124#16837291C2211yescharacteristic
125#16837291C2211yescharacteristic
126#16837291C2211yescharacteristic
127#16837291C2211yescharacteristic
128#16837291C2211yescharacteristic, complemented
129#16837291C2211yescharacteristic, complemented
130#16837291C2211yescharacteristic, complemented
131#16837290C2211yescharacteristic, complemented
132#16837289C2211yescharacteristic, complemented
133#16837288C2211yescharacteristic, complemented
134#16837288C2211yescharacteristic, complemented
135#16837287C2211yescharacteristic, complemented
136#16837287C2211yescharacteristic, complemented
137#16837285C2211yescharacteristic, complemented
138#16837284C2211yescharacteristic, complemented
139#16837283C2211yescharacteristic, complemented
140#16837282C2211yescharacteristic
141#16837281C2211yescharacteristic
142#16837281C2211yescharacteristic
143#16837281C2211yescharacteristic
144#16837280C2211yescharacteristic
145#16837280C2211yescharacteristic
146#16837280C2211yescharacteristic
147#16837280C2211yescharacteristic, complemented
148#16837280C2211yescharacteristic, complemented
149#16837279C2211yescharacteristic
150#16837279C2211yescharacteristic
151#16837279C2211yescharacteristic
152#16837279C2211yescharacteristic
153#16837279C2211yescharacteristic
154#16837279C2211yescharacteristic, complemented
155#16837277C2211yescharacteristic
156#16837277C2211yescharacteristic, complemented
157#16837276C2211yescharacteristic, complemented
158#16837276C2211yescharacteristic, complemented
159#16837276C2211yescharacteristic, complemented
160#16837275C2211yescharacteristic
161#16837274C2211yescharacteristic
162#16837269C2211yescharacteristic, complemented
163#16837266C2211yescharacteristic, complemented
164#16837264C2211yescharacteristic, complemented
165#16837263C2211yescharacteristic
166#16837261C2211yescharacteristic, complemented
167#16837261C2211yescharacteristic, complemented
168#16837260C2211yescharacteristic, complemented
169#16837260C2211yescharacteristic, complemented
170#16837257C2211yescharacteristic
171C2×C59⋊#95C2211yescharacteristic
172C59×#401C2211yescharacteristic, complemented
173C59×#400C2211yescharacteristic, complemented
174C59×#397C2211yescharacteristic, complemented
175C59×#397C2211yescharacteristic, complemented
176C59×#388C2211yescharacteristic, complemented
177C59×#388C2211yescharacteristic, complemented
178C59×#387C2211yescharacteristic, complemented
179C59×#386C2211yescharacteristic
180C59×#386C2211yescharacteristic
181C59×#386C2211yescharacteristic
182C59×#385C2211yescharacteristic
183C59×#383C2211yescharacteristic, complemented
184C59×#380C2211yescharacteristic
185C4×C22⋊C4×C59C2211yescharacteristic
186C2×#95×C59C2211yescharacteristic
187C24×D59C2311yescharacteristic
188C2×#11745687—24no—
189C2×#11745687—42no—
190C2×#11745687—42no—
191C22×Dic118C2311yescharacteristic
192C22×Dic118C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×D236C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C23×Dic59C2311yescharacteristic
205C23×Dic59C2311yescharacteristic
206C23×Dic59C2311yescharacteristic
207C23×Dic59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210#14273722—42no—
211#14273715—42no—
212#14273713—42no—
213#14273711—24no—
214#14273704—42no—
215#14273701—42no—
216#14273700—42no—
217#14273699—42no—
218#14273697—42no—
219#14273697—42no—
220#14273695—42no—
221C4×C22⋊D59—42no—
222#14273683—42no—
223C2×C4⋊Dic59C2311yescharacteristic
224C2×C4⋊Dic59C2311yescharacteristic
225C2×C4⋊Dic59C2311yescharacteristic
226C2×C4⋊Dic59C2311yescharacteristic
227C2×C4⋊Dic59C2311yescharacteristic
228C2×C4⋊Dic59C2311yescharacteristic
229C2×Dic59⋊C4—42no—
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×Dic59⋊C4C2311yescharacteristic
242C2×Dic59⋊C4C2311yescharacteristic
243C2×Dic59⋊C4C2311yescharacteristic
244C2×C22⋊Dic59C2311yescharacteristic
245C2×C22⋊Dic59C2311yescharacteristic
246C2×C22⋊Dic59C2311yescharacteristic
247C2×C22⋊Dic59C2311yescharacteristic
248C2×C22⋊Dic59C2311yescharacteristic
249C2×(C2×D59)⋊C4—24no—
250C2×(C2×D59)⋊C4—42no—
251C2×(C2×D59)⋊C4—42no—
252C2×(C2×D59)⋊C4C2311yescharacteristic
253C2×(C2×D59)⋊C4C2311yescharacteristic
254C2×(C2×D59)⋊C4C2311yescharacteristic
255C2×(C2×D59)⋊C4C2311yescharacteristic
256C2×(C2×D59)⋊C4C2311yescharacteristic
257C2×(C2×D59)⋊C4C2311yescharacteristic
258C2×(C2×D59)⋊C4C2311yescharacteristic
259C2×(C2×D59)⋊C4C2311yescharacteristic
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×C4×Dic59—42no—
293C2×C4×Dic59C2311yescharacteristic
294C2×C4×Dic59C2311yescharacteristic
295C2×C4×Dic59C2311yescharacteristic
296C2×C4×Dic59C2311yescharacteristic
297C2×C4×Dic59C2311yescharacteristic
298C2×C4×Dic59C2311yescharacteristic
299C2×C4×Dic59C2311yescharacteristic
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
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C22×D4×C59C2311yescharacteristic
329C23×C4×C59C2311yescharacteristic
330C23×C4×C59C2311yescharacteristic
331C23×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×C42×C59C2311yescharacteristic
346C2×C42×C59C2311yescharacteristic
347#95×C59C2311yescharacteristic
348#95×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—22no—
378C2×D4×C59—22no—
379C22×C4×C59—22no—
380C22×C4×C59—22no—
381C22×C4×C59—22no—
382C22×C4×C59—41no—
383C22×C4×C59—41no—
384C22×C4×C59—41no—
385C22×C4×C59—41no—
386C22×C4×C59—41no—
387C22×C4×C59—41no—
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
398C22×C4×C59C2411yescharacteristic
399C22×C4×C59C2411yescharacteristic
400C22×C4×C59C2411yescharacteristic
401C2×C22⋊D59—22no—
402C2×C22⋊D59—22no—
403C2×C22⋊D59—22no—
404C2×C22⋊D59—22no—
405C2×C22⋊D59—22no—
406C2×C22⋊D59—22no—
407C2×C22⋊D59—22no—
408C2×C22⋊D59—22no—
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—
416C2×C22⋊D59—41no—
417C2×C22⋊D59—41no—
418C2×C22⋊D59—41no—
419C22×Dic59—22no—
420C22×Dic59—22no—
421C22×Dic59—22no—
422C22×Dic59—22no—
423C22×Dic59—22no—
424C22×Dic59—22no—
425C22×Dic59—41no—
426C22×Dic59—41no—
427C22×Dic59—41no—
428C22×Dic59—41no—
429C22×Dic59—41no—
430C22×Dic59#4114yes—
431C22×Dic59C2411yescharacteristic
432C22×Dic59C2411yescharacteristic
433C22×Dic59C2411yescharacteristic
434C22×Dic59C2411yescharacteristic
435C22×Dic59C2411yescharacteristic
436C22×Dic59C2411yescharacteristic
437C22×Dic59C2411yescharacteristic
438C22×Dic59C2411yescharacteristic
439C22×Dic59C2411yescharacteristic
440C22×Dic59C2411yescharacteristic
441C22×Dic59C2411yescharacteristic
442C22×Dic59C2411yescharacteristic
443#11745687—416no—
444C2×D236—41no—
445C2×D236—41no—
446C2×D236—41no—
447C2×D236—41no—
448C2×D236—41no—
449C2×D236—41no—
450C2×D236—41no—
451C2×D236—41no—
452C2×D236—41no—
453C2×D236—41no—
454C2×D236—41no—
455C2×D236—41no—
456C2×D236—41no—
457C2×D236—41no—
458C2×D236—41no—
459C2×C4×D59—22no—
460C2×C4×D59—41no—
461C2×C4×D59—41no—
462C2×C4×D59—41no—
463C2×C4×D59—41no—
464C2×C4×D59—41no—
465C2×Dic118—22no—
466C2×Dic118—22no—
467C2×Dic118—41no—
468C2×Dic118—41no—
469C2×Dic118—41no—
470C2×Dic118—41no—
471C4⋊C4×C59—41no—
472C4⋊C4×C59—41no—
473C4⋊C4×C59—41no—
474C4⋊C4×C59—41no—
475C22⋊C4×C59—22no—
476C22⋊C4×C59—22no—
477C22⋊C4×C59—22no—
478C22⋊C4×C59—41no—
479C22⋊C4×C59—41no—
480C22⋊C4×C59—41no—
481C22⋊C4×C59—41no—
482C22⋊C4×C59—41no—
483C22⋊C4×C59—41no—
484C42×C59—41no—
485C42×C59—41no—
486C22⋊Dic59—22no—
487C22⋊Dic59—22no—
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—
527(C2×D59)⋊C4—41no—
528(C2×D59)⋊C4—41no—
529(C2×D59)⋊C4—41no—
530(C2×D59)⋊C4—41no—
531C4⋊Dic59—22no—
532C4⋊Dic59—22no—
533C4⋊Dic59—41no—
534C4⋊Dic59—41no—
535C4⋊Dic59—41no—
536C4⋊Dic59—41no—
537Dic59⋊C4—22no—
538Dic59⋊C4—41no—
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—
551C4×Dic59—22no—
552C4×Dic59—22no—
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×C59C2×#4112yes—
570C23×C59H(5,𝔽2)12yes—
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—21no—
600C22×D59—21no—
601C22×D59—44no—
602C22×D59—44no—
603C22×D59—44no—
604C22×D59—82no—
605C22×D59—82no—
606C22×D59—82no—
607C22×D59—82no—
608D4×C59—44no—
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—21no—
648C2×C4×C59—44no—
649C2×C4×C59—82no—
650C2×C4×C59—82no—
651C22⋊D59—44no—
652C22⋊D59—44no—
653C22⋊D59—44no—
654C22⋊D59—82no—
655C22⋊D59—82no—
656C22⋊D59—82no—
657C2×Dic59—28no—
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—21no—
691C2×Dic59—44no—
692C2×Dic59—44no—
693C2×Dic59—44no—
694C2×Dic59C2×#4112yes—
695C2×Dic59C2×#4112yes—
696C2×Dic59H(5,𝔽2)12yes—
697D236—82no—
698D236—82no—
699D236—82no—
700D236—82no—
701D236—82no—
702C4×D59—44no—
703C4×D59—82no—
704Dic118—44no—
705Dic118—82no—
706#36795—591nomaximal, Sylow
707C22×C59—22no—
708C22×C59—22no—
709C22×C59—22no—
710C22×C59—22no—
711C22×C59—22no—
712C22×C59—22no—
713C22×C59—41no—
714C22×C59—41no—
715C22×C59—41no—
716C22×C59—41no—
717C22×C59—41no—
718C22×C59—41no—
719C22×C59—41no—
720C22×C59#53814yes—
721C22×C59C22×#4111yescharacteristic
722C22×C59C2×H(5,𝔽2)11yescharacteristic
723C22×C59C2×H(5,𝔽2)11yescharacteristic
724C22×C59C2×H(5,𝔽2)11yescharacteristic
725C22×C59#58511yescharacteristic
726C22×C59#58511yescharacteristic
727C22×C59#58511yescharacteristic
728C2×D59—41no—
729C2×D59—41no—
730C2×D59—41no—
731C2×D59—41no—
732C2×D59—41no—
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—
755C2×D59—41no—
756C2×D59—88no—
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—
768C4×C59—41no—
769C4×C59—41no—
770Dic59—22no—
771Dic59—22no—
772Dic59—22no—
773Dic59—41no—
774Dic59—41no—
775Dic59—41no—
776Dic59—41no—
777Dic59—41no—
778Dic59—41no—
779Dic59—41no—
780Dic59—41no—
781Dic59—41no—
782#2852—591no—
783#2850—591no—
784#2808—591no—
785#2803—591no—
786#2803—591no—
787#2786—591no—
788#2781—591no—
789#2779—591no—
790#2778—591no—
791#2775—591no—
792#2759—591no—
793#2756—591no—
794#2756—591no—
795#2751—591no—
796#2733—591no—
797#2715—591no—
798#2714—591no—
799#2686—591no—
800#2622—591no—
801#2617—591no—
802#2510D5911yescharacteristic, complemented
803#2472—591no—
804#2444—591no—
805#2438—591no—
806#2430—591no—
807#2424—591no—
808#2411—591no—
809#2404—591no—
810#2322—591no—
811#2311—591no—
812C2×#388—591no—
813C2×C59—24no—
814C2×C59—81no—
815C2×C59C2×#53811yescharacteristic
816C2×C59#349311yescharacteristic
817C2×C59#350611yescharacteristic
818C2×C59#353411yescharacteristic
819C2×C59#354211yescharacteristic
820C2×C59#354511yescharacteristic
821C2×C59#356011yescharacteristic
822D59—81no—
823D59—81no—
824D59—81no—
825D59—81no—
826C22×#41—591no—
827C2×#126—591no—
828C2×#124—591no—
829C2×#124—591no—
830C2×#123—591no—
831C2×C22⋊Q8—591no—
832C2×#121—591no—
833C2×#121—591no—
834C2×#121—591no—
835C2×#120—591no—
836C2×#120—591no—
837C2×#120—591no—
838C2×C4×D4—591no—
839C2×#117—591no—
840C22×C4⋊C4—591no—
841C22×C22⋊C4—591no—
842C22×C22⋊C4—591no—
843C22×C22⋊C4—591no—
844C22×C42—591no—
845#401C2×D5911yescharacteristic, complemented
846#400—591no—
847#400—591no—
848#400C2×D5911yescharacteristic, complemented
849#398—591no—
850#398—591no—
851#397—591no—
852#397—591no—
853#397—591no—
854#397—591no—
855#397—591no—
856#397—591no—
857#397—591no—
858#397—591no—
859#397—591no—
860#397C2×D5911yescharacteristic, complemented
861#397C2×D5911yescharacteristic, complemented
862#396—591no—
863#396—591no—
864#396—591no—
865#395—591no—
866#395—591no—
867#394—591no—
868#394—591no—
869#394—591no—
870#394—591no—
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#393—591no—
884#393—591no—
885#393—591no—
886#393—591no—
887#392—591no—
888#392—591no—
889#392—591no—
890#392—591no—
891#392—591no—
892#392—591no—
893#391—591no—
894#391—591no—
895#391—591no—
896#391—591no—
897#390—591no—
898#390—591no—
899#390—591no—
900#390—591no—
901#390—591no—
902#390—591no—
903#390—591no—
904#389—591no—
905#389—591no—
906#389—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#388—591no—
919#388—591no—
920#388—591no—
921#388—591no—
922#388—591no—
923#388—591no—
924#388—591no—
925#388—591no—
926#388—591no—
927#388—591no—
928#388—591no—
929#388—591no—
930#388C2×D5911yescharacteristic, complemented
931#388C2×D5911yescharacteristic, complemented
932#387—591no—
933#387—591no—
934#387—591no—
935#387—591no—
936#387—591no—
937#387—591no—
938#387—591no—
939#387—591no—
940#387C2×D5911yescharacteristic, complemented
941#386—591no—
942#386—591no—
943#386—591no—
944#386—591no—
945#386—591no—
946#386—591no—
947#386—591no—
948#386—591no—
949#386—591no—
950#386—591no—
951#386—591no—
952#386—591no—
953#386—591no—
954#386—591no—
955#386—591no—
956#386C2×D5911yescharacteristic
957#386C2×D5911yescharacteristic
958#386C2×D5911yescharacteristic
959#385—591no—
960#385—591no—
961#385—591no—
962#385—591no—
963#385—591no—
964#385—591no—
965#385—591no—
966#385C2×D5911yescharacteristic
967#383—591no—
968#383C2×D5911yescharacteristic, complemented
969#382—591no—
970#381—591no—
971#381—591no—
972#380—591no—
973#380—591no—
974#380—591no—
975#380—591no—
976#380C2×D5911yescharacteristic
977#379—591no—
978C4×C22⋊C4C2×D5911yescharacteristic
979C2×#95—591no—
980C2×#95C2×D5911yescharacteristic
981C59#3679511yescharacteristic, complemented, Sylow
982C25—591no—
983C2×#41—1184no—
984C2×#41—2362no—
985C2×#41—2362no—
986C22×Q8—591no—
987C22×Q8—591no—
988C22×D4—591no—
989C22×D4—591no—
990C22×D4—591no—
991C22×D4—591no—
992C22×D4—591no—
993C22×D4—591no—
994C22×D4—591no—
995C22×D4—591no—
996C22×D4—591no—
997C22×D4—591no—
998C22×D4—591no—
999C22×D4C22×D5911yescharacteristic
1000C23×C4—591no—
1001C23×C4—591no—
1002C23×C4—591no—
1003C23×C4—591no—
1004C23×C4—591no—
1005C23×C4—591no—
1006C23×C4C22×D5911yescharacteristic
1007C23×C4C22×D5911yescharacteristic
1008C23×C4C22×D5911yescharacteristic
1009#126—2362no—
1010#124—2362no—
1011#124—2362no—
1012#123—1184no—
1013C22⋊Q8—2362no—
1014#121—2362no—
1015#121—2362no—
1016#121—2362no—
1017#120—2362no—
1018#120—2362no—
1019#120—2362no—
1020C4×D4—2362no—
1021#117—2362no—
1022C2×C4⋊C4—591no—
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—2362no—
1043C2×C4⋊C4C22×D5911yescharacteristic
1044C2×C4⋊C4C22×D5911yescharacteristic
1045C2×C4⋊C4C22×D5911yescharacteristic
1046C2×C4⋊C4C22×D5911yescharacteristic
1047C2×C22⋊C4—591no—
1048C2×C22⋊C4—591no—
1049C2×C22⋊C4—591no—
1050C2×C22⋊C4—591no—
1051C2×C22⋊C4—591no—
1052C2×C22⋊C4—591no—
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—1184no—
1093C2×C22⋊C4—2362no—
1094C2×C22⋊C4—2362no—
1095C2×C22⋊C4C22×D5911yescharacteristic
1096C2×C22⋊C4C22×D5911yescharacteristic
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×C42—591no—
1105C2×C42—591no—
1106C2×C42—591no—
1107C2×C42—591no—
1108C2×C42—591no—
1109C2×C42—591no—
1110C2×C42—591no—
1111C2×C42—2362no—
1112C2×C42C22×D5911yescharacteristic
1113C2×C42C22×D5911yescharacteristic
1114#95—591no—
1115#95—591no—
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
1156#95C22×D5911yescharacteristic
1157#95C22×D5911yescharacteristic
1158C24—591no—
1159C24—591no—
1160C24—591no—
1161C24—591no—
1162C24—1182no—
1163C24—1182no—
1164C24—1182no—
1165C24—2361no—
1166C24—2361no—
1167C24—2361no—
1168C24—2361no—
1169C24C23×D5911yescharacteristic
1170C24C23×D5911yescharacteristic
1171#41—23616no—
1172C2×Q8—1182no—
1173C2×Q8—1182no—
1174C2×Q8—2361no—
1175C2×Q8—2361no—
1176C2×Q8—2361no—
1177C2×Q8—2361no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—1182no—
1182C2×D4—1182no—
1183C2×D4—1182no—
1184C2×D4—1182no—
1185C2×D4—1182no—
1186C2×D4—1182no—
1187C2×D4—1182no—
1188C2×D4—1182no—
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—
1205C2×D4—2361no—
1206C2×D4—2361no—
1207C2×D4—2361no—
1208C2×D4—2361no—
1209C2×D4—2361no—
1210C2×D4—2361no—
1211C2×D4—2361no—
1212C2×D4—2361no—
1213C2×D4—2361no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—594no—
1224C22×C4—591no—
1225C22×C4—591no—
1226C22×C4—591no—
1227C22×C4—591no—
1228C22×C4—591no—
1229C22×C4—591no—
1230C22×C4—591no—
1231C22×C4—591no—
1232C22×C4—591no—
1233C22×C4—591no—
1234C22×C4—591no—
1235C22×C4—591no—
1236C22×C4—1182no—
1237C22×C4—1182no—
1238C22×C4—1182no—
1239C22×C4—1182no—
1240C22×C4—1182no—
1241C22×C4—1182no—
1242C22×C4—1182no—
1243C22×C4—2361no—
1244C22×C4—2361no—
1245C22×C4—2361no—
1246C22×C4—2361no—
1247C22×C4—2361no—
1248C22×C4—2361no—
1249C22×C4—2361no—
1250C22×C4—2361no—
1251C22×C4—2361no—
1252C22×C4—2361no—
1253C22×C4C23×D5911yescharacteristic
1254C22×C4C23×D5911yescharacteristic
1255C22×C4C23×D5911yescharacteristic
1256C22×C4C23×D5911yescharacteristic
1257C22×C4C23×D5911yescharacteristic
1258C22×C4C23×D5911yescharacteristic
1259C22×C4C23×D5911yescharacteristic
1260C22×C4C23×D5911yescharacteristic
1261C22×C4C23×D5911yescharacteristic
1262C22×C4C23×D5911yescharacteristic
1263C22×C4C23×D5911yescharacteristic
1264C22×C4C23×D5911yescharacteristic
1265C22×C4C23×D5911yescharacteristic
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—1182no—
1271C4⋊C4—1182no—
1272C4⋊C4—1182no—
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—
1288C4⋊C4—2361no—
1289C4⋊C4—2361no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
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—2361no—
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—
1342C22⋊C4—2361no—
1343C22⋊C4—2361no—
1344C42—41no—
1345C42—41no—
1346C42—1182no—
1347C42—1182no—
1348C42—2361no—
1349C42—2361no—
1350C42—2361no—
1351C42—2361no—
1352C42—2361no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—1181no—
1365C23—1181no—
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—4722no—
1393C23—4722no—
1394C23—4722no—
1395C23—4722no—
1396C23—2364no—
1397C23—2364no—
1398C23—2364no—
1399C23#41×D5912yes—
1400C23#1427377312yes—
1401C23#1427377312yes—
1402C23C24×D5911yescharacteristic
1403Q8—4722no—
1404Q8—2364no—
1405D4—44no—
1406D4—4722no—
1407D4—4722no—
1408D4—4722no—
1409D4—4722no—
1410D4—4722no—
1411D4—4722no—
1412D4—4722no—
1413D4—4722no—
1414D4—2364no—
1415D4—2364no—
1416D4—2364no—
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—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—44no—
1457C2×C4—82no—
1458C2×C4—82no—
1459C2×C4—592no—
1460C2×C4—592no—
1461C2×C4—592no—
1462C2×C4—1181no—
1463C2×C4—1181no—
1464C2×C4—1181no—
1465C2×C4—1181no—
1466C2×C4—1181no—
1467C2×C4—1181no—
1468C2×C4—1188no—
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—1181no—
1491C2×C4—1181no—
1492C2×C4—1181no—
1493C2×C4—1181no—
1494C2×C4—1181no—
1495C2×C4—1181no—
1496C2×C4—4722no—
1497C2×C4—2364no—
1498C2×C4—2364no—
1499C2×C4—2364no—
1500C2×C4—2364no—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—4728no—
1515C22—2361no—
1516C22—2361no—
1517C22—2361no—
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—
1540C22—2361no—
1541C22—2361no—
1542C22—2361no—
1543C22#1683799114yes—
1544C22C2×#41×D5911yescharacteristic
1545C22H(5,𝔽2)×D5911yescharacteristic
1546C22C2×#1427377311yescharacteristic
1547C22C2×#1427377311yescharacteristic
1548C22#1683823711yescharacteristic
1549C22#1683823811yescharacteristic
1550C22#1683823811yescharacteristic
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—1182no—
1565C4—1182no—
1566C4—1182no—
1567C4—2361no—
1568C4—2361no—
1569C4—2361no—
1570C4—2361no—
1571C4—2361no—
1572C4—2361no—
1573C4—2361no—
1574C4—2361no—
1575C4—2361no—
1576C2—24no—
1577C2—81no—
1578C2—4721no—
1579C2—4721no—
1580C2—4721no—
1581C2—4721no—
1582C2C2×#1683799111yescharacteristic
1583C2#2143780811yescharacteristic
1584C2#2143794311yescharacteristic
1585C2#2143827311yescharacteristic
1586C2#2143840511yescharacteristic
1587C2#2143845211yescharacteristic
1588C2#2143864711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2510C2
hypercenter#2510D59
hypocenterC59#36795
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2510

Complements

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

NH ≅ G/Ntype
1. #21432413C2semidirect
2. #21432393C2semidirect
3. #21432072C2semidirect
4. #21432034C2semidirect
5. #21432032C2semidirect
6. #21431805C2semidirect
7. #21431766C2semidirect
8. #21431730C2semidirect
9. #21431721C2semidirect
10. #21431665C2semidirect
11. #21431470C2semidirect
12. #21431414C2semidirect
13. #21431413C2semidirect
14. #21431342C2semidirect
15. #21431123C2semidirect
16. #21430910C2semidirect
17. #21430891C2semidirect
18. #21430495C2semidirect
19. #21429873C2semidirect
20. #21429833C2semidirect
21. #21428222C2semidirect
22. #21427846C2semidirect
23. #21427778C2semidirect
24. #21427704C2semidirect
25. #21427634C2semidirect
26. #21427479C2semidirect
27. #21427414C2semidirect
28. #21426767C2semidirect
29. #21426683C2semidirect
30. C2×#16837291C2semidirect
31. C59×#2510C2semidirect
33. C2×#14273722C22semidirect
35. C2×#14273713C22semidirect
51. #16837344C22semidirect
52. #16837343C22semidirect
53. #16837336C22semidirect
54. #16837333C22semidirect
57. #16837331C22semidirect
58. #16837331C22semidirect
67. #16837323C22semidirect
68. #16837322C22semidirect
74. #16837320C22semidirect
81. #16837318C22semidirect
88. #16837315C22semidirect
94. #16837311C22semidirect
95. #16837306C22semidirect
96. #16837306C22semidirect
97. #16837306C22semidirect
98. #16837306C22semidirect
103. #16837302C22semidirect
104. #16837302C22semidirect
105. #16837302C22semidirect
106. #16837300C22semidirect
107. #16837300C22semidirect
108. #16837297C22semidirect
109. #16837295C22semidirect
112. #16837294C22semidirect
113. #16837294C22semidirect
116. #16837293C22semidirect
117. #16837293C22semidirect
118. #16837292C22semidirect
128. #16837291C22semidirect
129. #16837291C22semidirect
130. #16837291C22semidirect
131. #16837290C22semidirect
132. #16837289C22semidirect
133. #16837288C22semidirect
134. #16837288C22semidirect
135. #16837287C22semidirect
136. #16837287C22semidirect
137. #16837285C22semidirect
138. #16837284C22semidirect
139. #16837283C22semidirect
147. #16837280C22semidirect
148. #16837280C22semidirect
154. #16837279C22semidirect
156. #16837277C22semidirect
157. #16837276C22semidirect
158. #16837276C22semidirect
159. #16837276C22semidirect
162. #16837269C22semidirect
163. #16837266C22semidirect
164. #16837264C22semidirect
166. #16837261C22semidirect
167. #16837261C22semidirect
168. #16837260C22semidirect
169. #16837260C22semidirect
172. C59×#401C22semidirect
173. C59×#400C22semidirect
174. C59×#397C22semidirect
175. C59×#397C22semidirect
176. C59×#388C22semidirect
177. C59×#388C22semidirect
178. C59×#387C22semidirect
183. C59×#383C22semidirect
802. #2510D59semidirect
845. #401C2×D59semidirect
848. #400C2×D59semidirect
860. #397C2×D59semidirect
861. #397C2×D59semidirect
930. #388C2×D59semidirect
931. #388C2×D59semidirect
940. #387C2×D59semidirect
968. #383C2×D59semidirect
981. C59#36795semidirect

Maximal subgroups

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

subgroupindex
#214324132
#214323932
#214320722
#214320342
#214320322
#214318052
#214317662
#214317302
#214317212
#214316652
#214314702
#214314142
#214314132
#214313422
#214311232
#214309102
#214308912
#214304952
#214298732
#214298332
#214282222
#214278462
#214277782
#214277042
#214276342
#214274792
#214274142
#214267672
#214266832
C2×#168372912
C59×#25102
#3679559