Finite Group Databasebeta

← #28798269

Subgroups — #28798269

Order 15104.

2056 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432394C211yesmaximal, characteristic, complemented
2#21432392C211yesmaximal, characteristic, complemented
3#21431392C211yesmaximal, characteristic, complemented
4#21431386C211yesmaximal, characteristic, complemented
5#21431099C211yesmaximal, characteristic, complemented
6#21431089C211yesmaximal, characteristic, complemented
7#21430869C211yesmaximal, characteristic, complemented
8#21430862C211yesmaximal, characteristic, complemented
9#21430791C211yesmaximal, characteristic, complemented
10#21430779C211yesmaximal, characteristic, complemented
11#21430653C211yesmaximal, characteristic, complemented
12#21430641C211yesmaximal, characteristic, complemented
13#21430367C211yesmaximal, characteristic, complemented
14#21430364C211yesmaximal, characteristic, complemented
15#21430318C211yesmaximal, characteristic, complemented
16#21430304C211yesmaximal, characteristic, complemented
17#21430300C211yesmaximal, characteristic, complemented
18#21430085C211yesmaximal, characteristic, complemented
19#21430077C211yesmaximal, characteristic, complemented
20#21429756C211yesmaximal, characteristic, complemented
21#21429193C211yesmaximal, characteristic, complemented
22#21429188C211yesmaximal, characteristic, complemented
23#21429024C211yesmaximal, characteristic, complemented
24#21428288C211yesmaximal, characteristic, complemented
25#21428283C211yesmaximal, characteristic, complemented
26#21427710C211yesmaximal, characteristic, complemented
27#21427412C211yesmaximal, characteristic, complemented
28#21426855C211yesmaximal, characteristic, complemented
29#21426692C211yesmaximal, characteristic, complemented
30#21426583C211yesmaximal, characteristic, complemented
31C59×#2670C211yesmaximal, characteristic, complemented
32C22×#11745687C2211yescharacteristic
33C2×#14273723C2211yescharacteristic, complemented
34C2×#14273714C2211yescharacteristic
35C2×#14273713C2211yescharacteristic
36C2×#14273713C2211yescharacteristic, complemented
37C2×#14273711C2211yescharacteristic
38C2×#14273709C2211yescharacteristic, complemented
39C2×#14273708C2211yescharacteristic
40C2×#14273708C2211yescharacteristic, complemented
41C2×#14273705C2211yescharacteristic, complemented
42C2×#14273703C2211yescharacteristic, complemented
43C2×#14273700C2211yescharacteristic
44C2×#14273700C2211yescharacteristic
45C2×#14273699C2211yescharacteristic
46C2×#14273699C2211yescharacteristic
47C2×#14273698C2211yescharacteristic
48C2×#14273696C2211yescharacteristic
49C2×#14273696C2211yescharacteristic
50C2×#14273685C2211yescharacteristic, complemented
51C22×C22⋊Dic59C2211yescharacteristic
52C2×C42×D59C2211yescharacteristic, complemented
53#16837344C2211yescharacteristic, complemented
54#16837340C2211yescharacteristic, complemented
55#16837338C2211yescharacteristic
56#16837338C2211yescharacteristic
57#16837338C2211yescharacteristic
58#16837338C2211yescharacteristic
59#16837336C2211yescharacteristic, complemented
60#16837335C2211yescharacteristic, complemented
61#16837331C2211yescharacteristic, complemented
62#16837330C2211yescharacteristic
63#16837330C2211yescharacteristic
64#16837330C2211yescharacteristic
65#16837330C2211yescharacteristic, complemented
66#16837330C2211yescharacteristic, complemented
67#16837327C2211yescharacteristic
68#16837327C2211yescharacteristic, complemented
69#16837325C2211yescharacteristic, complemented
70#16837325C2211yescharacteristic, complemented
71#16837320C2211yescharacteristic, complemented
72#16837318C2211yescharacteristic
73#16837318C2211yescharacteristic
74#16837318C2211yescharacteristic
75#16837317C2211yescharacteristic
76#16837317C2211yescharacteristic, complemented
77#16837317C2211yescharacteristic, complemented
78#16837316C2211yescharacteristic
79#16837316C2211yescharacteristic
80#16837316C2211yescharacteristic, complemented
81#16837314C2211yescharacteristic
82#16837314C2211yescharacteristic
83#16837314C2211yescharacteristic
84#16837314C2211yescharacteristic, complemented
85#16837313C2211yescharacteristic, complemented
86#16837311C2211yescharacteristic
87#16837310C2211yescharacteristic
88#16837310C2211yescharacteristic
89#16837310C2211yescharacteristic
90#16837310C2211yescharacteristic
91#16837310C2211yescharacteristic
92#16837310C2211yescharacteristic
93#16837310C2211yescharacteristic
94#16837310C2211yescharacteristic
95#16837309C2211yescharacteristic, complemented
96#16837309C2211yescharacteristic, complemented
97#16837308C2211yescharacteristic, complemented
98#16837307C2211yescharacteristic, complemented
99#16837306C2211yescharacteristic, complemented
100#16837306C2211yescharacteristic, complemented
101#16837306C2211yescharacteristic, complemented
102#16837305C2211yescharacteristic
103#16837305C2211yescharacteristic
104#16837305C2211yescharacteristic
105#16837302C2211yescharacteristic
106#16837302C2211yescharacteristic
107#16837302C2211yescharacteristic
108#16837302C2211yescharacteristic, complemented
109#16837296C2211yescharacteristic
110#16837296C2211yescharacteristic
111#16837296C2211yescharacteristic
112#16837296C2211yescharacteristic
113#16837295C2211yescharacteristic
114#16837294C2211yescharacteristic, complemented
115#16837293C2211yescharacteristic, complemented
116#16837293C2211yescharacteristic, complemented
117#16837292C2211yescharacteristic, complemented
118#16837290C2211yescharacteristic
119#16837290C2211yescharacteristic
120#16837290C2211yescharacteristic
121#16837290C2211yescharacteristic
122#16837290C2211yescharacteristic
123#16837290C2211yescharacteristic, complemented
124#16837290C2211yescharacteristic, complemented
125#16837287C2211yescharacteristic, complemented
126#16837287C2211yescharacteristic, complemented
127#16837286C2211yescharacteristic, complemented
128#16837286C2211yescharacteristic, complemented
129#16837285C2211yescharacteristic, complemented
130#16837284C2211yescharacteristic, complemented
131#16837284C2211yescharacteristic, complemented
132#16837283C2211yescharacteristic, complemented
133#16837282C2211yescharacteristic
134#16837282C2211yescharacteristic
135#16837282C2211yescharacteristic
136#16837282C2211yescharacteristic
137#16837282C2211yescharacteristic
138#16837282C2211yescharacteristic, complemented
139#16837280C2211yescharacteristic, complemented
140#16837280C2211yescharacteristic, complemented
141#16837279C2211yescharacteristic
142#16837279C2211yescharacteristic, complemented
143#16837279C2211yescharacteristic, complemented
144#16837278C2211yescharacteristic
145#16837278C2211yescharacteristic
146#16837278C2211yescharacteristic
147#16837278C2211yescharacteristic
148#16837278C2211yescharacteristic
149#16837278C2211yescharacteristic
150#16837278C2211yescharacteristic
151#16837278C2211yescharacteristic
152#16837278C2211yescharacteristic, complemented
153#16837278C2211yescharacteristic, complemented
154#16837278C2211yescharacteristic, complemented
155#16837278C2211yescharacteristic, complemented
156#16837278C2211yescharacteristic, complemented
157#16837277C2211yescharacteristic, complemented
158#16837273C2211yescharacteristic, complemented
159#16837268C2211yescharacteristic, complemented
160#16837266C2211yescharacteristic, complemented
161#16837263C2211yescharacteristic
162#16837260C2211yescharacteristic
163#16837260C2211yescharacteristic
164#16837258C2211yescharacteristic
165C22⋊C4×Dic59C2211yescharacteristic
166C22⋊C4×Dic59C2211yescharacteristic
167C22⋊C4×Dic59C2211yescharacteristic
168C22⋊C4×Dic59C2211yescharacteristic, complemented
169C22⋊C4×Dic59C2211yescharacteristic, complemented
170C22⋊C4×Dic59C2211yescharacteristic, complemented
171C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
172C2×#124×C59C2211yescharacteristic
173C2×#124×C59C2211yescharacteristic
174C2×#120×C59C2211yescharacteristic
175C2×#120×C59C2211yescharacteristic
176C59×#394C2211yescharacteristic
177C59×#394C2211yescharacteristic
178C59×#393C2211yescharacteristic
179C59×#392C2211yescharacteristic
180C59×#392C2211yescharacteristic
181C59×#392C2211yescharacteristic
182C59×#390C2211yescharacteristic
183C59×#390C2211yescharacteristic
184C59×#388C2211yescharacteristic
185C59×#388C2211yescharacteristic
186C59×#379C2211yescharacteristic
187C2×#11745687—24no—
188C2×#11745687—42no—
189C2×#11745687—42no—
190C22×Dic118C2311yescharacteristic
191C22×Dic118C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C23×Dic59C2311yescharacteristic
204C23×Dic59C2311yescharacteristic
205C23×Dic59C2311yescharacteristic
206C23×Dic59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211#14273723—42no—
212#14273714—42no—
213#14273713—42no—
214#14273713—42no—
215#14273711—42no—
216#14273709—42no—
217#14273708—42no—
218#14273708—42no—
219#14273705—42no—
220#14273703—42no—
221#14273700—42no—
222#14273700—42no—
223#14273699—24no—
224#14273699—42no—
225#14273698—42no—
226#14273696—42no—
227#14273696—42no—
228#14273685—42no—
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×C22⋊Dic59—24no—
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×C22⋊Dic59C2311yescharacteristic
272C2×C22⋊Dic59C2311yescharacteristic
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
293C2×C4×Dic59C2311yescharacteristic
294C2×C4×Dic59C2311yescharacteristic
295C42×D59—42no—
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
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C25×C59C2311yescharacteristic
331C22×Q8×C59C2311yescharacteristic
332C22×D4×C59C2311yescharacteristic
333C22×D4×C59C2311yescharacteristic
334C22×D4×C59C2311yescharacteristic
335C22×D4×C59C2311yescharacteristic
336C22×D4×C59C2311yescharacteristic
337C22×D4×C59C2311yescharacteristic
338C22×D4×C59C2311yescharacteristic
339#124×C59—42no—
340#124×C59—42no—
341#120×C59—42no—
342#120×C59—42no—
343C2×C4⋊C4×C59C2311yescharacteristic
344C2×C4⋊C4×C59C2311yescharacteristic
345C2×C22⋊C4×C59C2311yescharacteristic
346C2×C22⋊C4×C59C2311yescharacteristic
347C2×C22⋊C4×C59C2311yescharacteristic
348C2×C22⋊C4×C59C2311yescharacteristic
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
361C2×C22⋊C4×C59C2311yescharacteristic
362C2×C22⋊C4×C59C2311yescharacteristic
363C2×C42×C59C2311yescharacteristic
364C2×C42×C59C2311yescharacteristic
365#95×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369C24×C59—22no—
370C24×C59—41no—
371C24×C59—41no—
372C24×C59—41no—
373C24×C59—41no—
374C24×C59—41no—
375C24×C59—41no—
376C24×C59C2411yescharacteristic
377C24×C59C2411yescharacteristic
378C24×C59C2411yescharacteristic
379C24×C59C2411yescharacteristic
380C24×C59C2411yescharacteristic
381C23×D59C2411yescharacteristic
382C23×D59C2411yescharacteristic
383C2×Q8×C59—22no—
384C2×Q8×C59—41no—
385C2×Q8×C59—41no—
386C2×D4×C59—22no—
387C2×D4×C59—22no—
388C2×D4×C59—22no—
389C2×D4×C59—22no—
390C2×D4×C59—41no—
391C2×D4×C59—41no—
392C2×D4×C59—41no—
393C2×D4×C59—41no—
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—41no—
403C2×D4×C59—41no—
404C2×D4×C59—41no—
405C2×D4×C59—41no—
406C2×D4×C59—41no—
407C22×C4×C59C2411yescharacteristic
408C22×C4×C59C2411yescharacteristic
409C22×C4×C59C2411yescharacteristic
410C22×C4×C59C2411yescharacteristic
411C22×C4×C59C2411yescharacteristic
412C22×C4×C59C2411yescharacteristic
413C22×C4×C59C2411yescharacteristic
414C22×C4×C59C2411yescharacteristic
415C22×C4×C59C2411yescharacteristic
416C22×C4×C59C2411yescharacteristic
417C2×C22⋊D59—22no—
418C2×C22⋊D59—22no—
419C2×C22⋊D59—22no—
420C2×C22⋊D59—22no—
421C2×C22⋊D59—22no—
422C2×C22⋊D59—22no—
423C2×C22⋊D59—22no—
424C2×C22⋊D59—22no—
425C2×C22⋊D59—22no—
426C2×C22⋊D59—22no—
427C2×C22⋊D59—41no—
428C2×C22⋊D59—41no—
429C2×C22⋊D59—41no—
430C2×C22⋊D59—41no—
431C2×C22⋊D59—41no—
432C2×C22⋊D59—41no—
433C2×C22⋊D59—41no—
434C2×C22⋊D59—41no—
435C2×C22⋊D59—41no—
436C2×C22⋊D59—41no—
437C2×C22⋊D59—41no—
438C2×C22⋊D59—41no—
439C2×C22⋊D59—41no—
440C2×C22⋊D59—41no—
441C2×C22⋊D59—41no—
442C2×C22⋊D59—41no—
443C2×C22⋊D59—41no—
444C2×C22⋊D59—41no—
445C2×C22⋊D59—41no—
446C2×C22⋊D59—41no—
447C22×Dic59—22no—
448C22×Dic59—22no—
449C22×Dic59—41no—
450C22×Dic59—41no—
451C22×Dic59—41no—
452C22×Dic59—41no—
453C22×Dic59—41no—
454C22×Dic59—41no—
455C22×Dic59—41no—
456C22×Dic59—41no—
457C22×Dic59—41no—
458C22×Dic59#4114yes—
459C22×Dic59C2411yescharacteristic
460C22×Dic59C2411yescharacteristic
461C22×Dic59C2411yescharacteristic
462C22×Dic59C2411yescharacteristic
463C22×Dic59C2411yescharacteristic
464C22×Dic59C2411yescharacteristic
465C22×Dic59C2411yescharacteristic
466C22×Dic59C2411yescharacteristic
467C22×Dic59C2411yescharacteristic
468C22×Dic59C2411yescharacteristic
469C22×Dic59C2411yescharacteristic
470C22×Dic59C2411yescharacteristic
471C22×Dic59C2411yescharacteristic
472C22×Dic59C2411yescharacteristic
473#11745687—416no—
474C2×D236—22no—
475C2×D236—41no—
476C2×D236—41no—
477C2×C4×D59—22no—
478C2×C4×D59—22no—
479C2×C4×D59—22no—
480C2×C4×D59—22no—
481C2×C4×D59—22no—
482C2×C4×D59—41no—
483C2×C4×D59—41no—
484C2×C4×D59—41no—
485C2×C4×D59—41no—
486C2×C4×D59—41no—
487C2×C4×D59—41no—
488C2×C4×D59—41no—
489C2×Dic118—22no—
490C2×Dic118—22no—
491C2×Dic118—22no—
492C2×Dic118—41no—
493C2×Dic118—41no—
494C2×Dic118—41no—
495C4⋊C4×C59—41no—
496C4⋊C4×C59—41no—
497C22⋊C4×C59—22no—
498C22⋊C4×C59—22no—
499C22⋊C4×C59—22no—
500C22⋊C4×C59—22no—
501C22⋊C4×C59—22no—
502C22⋊C4×C59—22no—
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⋊C4×C59—41no—
510C22⋊C4×C59—41no—
511C22⋊C4×C59—41no—
512C22⋊C4×C59—41no—
513C22⋊C4×C59—41no—
514C22⋊C4×C59—41no—
515C42×C59—22no—
516C42×C59—41no—
517C22⋊Dic59—22no—
518C22⋊Dic59—22no—
519C22⋊Dic59—22no—
520C22⋊Dic59—22no—
521C22⋊Dic59—22no—
522C22⋊Dic59—22no—
523C22⋊Dic59—22no—
524C22⋊Dic59—22no—
525C22⋊Dic59—22no—
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—
539C22⋊Dic59—41no—
540C22⋊Dic59—41no—
541C22⋊Dic59—41no—
542C22⋊Dic59—41no—
543(C2×D59)⋊C4—22no—
544(C2×D59)⋊C4—22no—
545(C2×D59)⋊C4—22no—
546(C2×D59)⋊C4—22no—
547(C2×D59)⋊C4—22no—
548(C2×D59)⋊C4—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—
555(C2×D59)⋊C4—41no—
556(C2×D59)⋊C4—41no—
557C4⋊Dic59—22no—
558C4⋊Dic59—22no—
559C4⋊Dic59—41no—
560C4⋊Dic59—41no—
561C4⋊Dic59—41no—
562Dic59⋊C4—22no—
563Dic59⋊C4—22no—
564Dic59⋊C4—22no—
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—
574C4×Dic59—22no—
575C4×Dic59—41no—
576C4×Dic59—41no—
577C4×Dic59—41no—
578C4×Dic59—41no—
579C4×Dic59—41no—
580C4×Dic59—41no—
581C4×Dic59—41no—
582C23×C59—21no—
583C23×C59—21no—
584C23×C59—21no—
585C23×C59—21no—
586C23×C59—21no—
587C23×C59—21no—
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—21no—
615C23×C59—21no—
616C23×C59—44no—
617C23×C59—82no—
618C23×C59—82no—
619C23×C59—82no—
620C23×C59—82no—
621C23×C59—82no—
622C23×C59—82no—
623C23×C59C2×#4112yes—
624C23×C59C2511yescharacteristic
625C22×D59—21no—
626C22×D59—21no—
627C22×D59—21no—
628C22×D59—21no—
629C22×D59—21no—
630C22×D59—21no—
631C22×D59—21no—
632C22×D59—21no—
633C22×D59—21no—
634C22×D59—21no—
635C22×D59—21no—
636C22×D59—21no—
637C22×D59—21no—
638C22×D59H(5,𝔽2)12yes—
639Q8×C59—82no—
640D4×C59—44no—
641D4×C59—82no—
642D4×C59—82no—
643D4×C59—82no—
644D4×C59—82no—
645D4×C59—82no—
646D4×C59—82no—
647C2×C4×C59—21no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
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×C59H(5,𝔽2)12yes—
676C2×C4×C59H(5,𝔽2)12yes—
677C22⋊D59—44no—
678C22⋊D59—44no—
679C22⋊D59—82no—
680C22⋊D59—82no—
681C22⋊D59—82no—
682C22⋊D59—82no—
683C22⋊D59—82no—
684C22⋊D59—82no—
685C22⋊D59—82no—
686C22⋊D59—82no—
687C2×Dic59—21no—
688C2×Dic59—21no—
689C2×Dic59—21no—
690C2×Dic59—21no—
691C2×Dic59—21no—
692C2×Dic59—21no—
693C2×Dic59—21no—
694C2×Dic59—21no—
695C2×Dic59—21no—
696C2×Dic59—21no—
697C2×Dic59—21no—
698C2×Dic59—21no—
699C2×Dic59—21no—
700C2×Dic59—21no—
701C2×Dic59—21no—
702C2×Dic59—21no—
703C2×Dic59—21no—
704C2×Dic59—21no—
705C2×Dic59—21no—
706C2×Dic59—21no—
707C2×Dic59—21no—
708C2×Dic59—21no—
709C2×Dic59—21no—
710C2×Dic59—21no—
711C2×Dic59—21no—
712C2×Dic59—21no—
713C2×Dic59—21no—
714C2×Dic59—21no—
715C2×Dic59—21no—
716C2×Dic59—21no—
717C2×Dic59—21no—
718C2×Dic59—21no—
719C2×Dic59—21no—
720C2×Dic59—21no—
721C2×Dic59—21no—
722C2×Dic59—21no—
723C2×Dic59—21no—
724C2×Dic59—21no—
725C2×Dic59—21no—
726C2×Dic59—44no—
727C2×Dic59—44no—
728C2×Dic59—82no—
729C2×Dic59—82no—
730C2×Dic59C2×#4112yes—
731C2×Dic59C2×#4112yes—
732C2×Dic59H(5,𝔽2)12yes—
733D236—82no—
734C4×D59—28no—
735C4×D59—44no—
736C4×D59—44no—
737C4×D59—82no—
738Dic118—44no—
739Dic118—82no—
740#36818—591nomaximal, Sylow
741C22×C59—22no—
742C22×C59—22no—
743C22×C59—22no—
744C22×C59—41no—
745C22×C59—41no—
746C22×C59—41no—
747C22×C59—41no—
748C22×C59—41no—
749C22×C59—41no—
750C22×C59—41no—
751C22×C59—41no—
752C22×C59—41no—
753C22×C59—41no—
754C22×C59—41no—
755C22×C59—41no—
756C22×C59—41no—
757C22×C59—41no—
758C22×C59—41no—
759C22×C59—41no—
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—88no—
777C22×C59C22×#4111yescharacteristic
778C22×C59C2×H(5,𝔽2)11yescharacteristic
779C22×C59C2×H(5,𝔽2)11yescharacteristic
780C22×C59C2×H(5,𝔽2)11yescharacteristic
781C22×C59C2×H(5,𝔽2)11yescharacteristic
782C22×C59#58511yescharacteristic
783C22×C59#58511yescharacteristic
784C2×D59—22no—
785C2×D59—22no—
786C2×D59—22no—
787C2×D59—41no—
788C2×D59—41no—
789C2×D59—41no—
790C2×D59—41no—
791C2×D59—41no—
792C2×D59—41no—
793C2×D59—41no—
794C2×D59—41no—
795C2×D59—41no—
796C2×D59—41no—
797C2×D59—41no—
798C4×C59—22no—
799C4×C59—22no—
800C4×C59—41no—
801C4×C59—41no—
802C4×C59—41no—
803C4×C59—41no—
804C4×C59—41no—
805C4×C59—41no—
806C4×C59—41no—
807C4×C59—41no—
808Dic59—22no—
809Dic59—22no—
810Dic59—22no—
811Dic59—41no—
812Dic59—41no—
813Dic59—41no—
814Dic59—41no—
815Dic59—41no—
816Dic59—41no—
817Dic59—41no—
818Dic59—41no—
819Dic59—41no—
820Dic59—41no—
821Dic59—41no—
822#2850—591no—
823#2850—591no—
824#2754—591no—
825#2754—591no—
826#2730—591no—
827#2730—591no—
828#2712—591no—
829#2712—591no—
830#2706—591no—
831#2706—591no—
832#2696—591no—
833#2696—591no—
834#2673—591no—
835#2673—591no—
836#2670—591no—
837#2670D5911yescharacteristic, complemented
838#2668—591no—
839#2668—591no—
840#2648—591no—
841#2648—591no—
842#2607—591no—
843#2557—591no—
844#2557—591no—
845#2539—591no—
846#2476—591no—
847#2476—591no—
848#2431—591no—
849#2404—591no—
850#2333—591no—
851#2312—591no—
852#2297—591no—
853C2×C59—42no—
854C2×C59—81no—
855C2×C59—81no—
856C2×C59—81no—
857C2×C59—81no—
858C2×C59#345511yescharacteristic
859C2×C59#349011yescharacteristic
860C2×C59#350811yescharacteristic
861C2×C59#354211yescharacteristic
862C2×C59#354211yescharacteristic
863C2×C59#355811yescharacteristic
864C2×C59#355811yescharacteristic
865D59—42no—
866D59—81no—
867C22×#41—591no—
868C2×#127—591no—
869C2×#124—591no—
870C2×#124—591no—
871C2×#124—591no—
872C2×#124C2×D5911yescharacteristic
873C2×#124C2×D5911yescharacteristic
874C2×#123—591no—
875C2×#123—591no—
876C2×#123—591no—
877C2×#123—591no—
878C2×C22⋊Q8—591no—
879C2×C22⋊Q8—591no—
880C2×#121—591no—
881C2×#121—591no—
882C2×#121—591no—
883C2×#121—591no—
884C2×#121—591no—
885C2×#120—591no—
886C2×#120—591no—
887C2×#120C2×D5911yescharacteristic
888C2×#120C2×D5911yescharacteristic
889C2×#117—591no—
890C22×C22⋊C4—591no—
891C22×C42—591no—
892#400—591no—
893#400—591no—
894#399—591no—
895#399—591no—
896#399—591no—
897#399—591no—
898#398—591no—
899#398—591no—
900#397—591no—
901#397—591no—
902#397—591no—
903#397—591no—
904#397—591no—
905#397—591no—
906#397—591no—
907#397—591no—
908#396—591no—
909#396—591no—
910#394—591no—
911#394—591no—
912#394—591no—
913#394—591no—
914#394—591no—
915#394—591no—
916#394—591no—
917#394—591no—
918#394—591no—
919#394—591no—
920#394C2×D5911yescharacteristic
921#394C2×D5911yescharacteristic
922#393—591no—
923#393—591no—
924#393—591no—
925#393—591no—
926#393—591no—
927#393C2×D5911yescharacteristic
928#392—591no—
929#392—591no—
930#392—591no—
931#392—591no—
932#392—591no—
933#392—591no—
934#392—591no—
935#392—591no—
936#392—591no—
937#392C2×D5911yescharacteristic
938#392C2×D5911yescharacteristic
939#392C2×D5911yescharacteristic
940#391—591no—
941#391—591no—
942#391—591no—
943#391—591no—
944#391—591no—
945#391—591no—
946#391—591no—
947#390—591no—
948#390—591no—
949#390—591no—
950#390—591no—
951#390—591no—
952#390—591no—
953#390—591no—
954#390C2×D5911yescharacteristic
955#390C2×D5911yescharacteristic
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#388C2×D5911yescharacteristic
973#388C2×D5911yescharacteristic
974#387—591no—
975#387—591no—
976#387—591no—
977#387—591no—
978#387—591no—
979#387—591no—
980#387—591no—
981#387—591no—
982#386—591no—
983#386—591no—
984#386—591no—
985#386—591no—
986#386—591no—
987#386—591no—
988#386—591no—
989#386—591no—
990#386—591no—
991#386—591no—
992#386—591no—
993#386—591no—
994#386—591no—
995#386—591no—
996#386—591no—
997#386—591no—
998#386—591no—
999#386—591no—
1000#386—591no—
1001#386—591no—
1002#386—591no—
1003#386—591no—
1004#386—591no—
1005#386—591no—
1006#385—591no—
1007#385—591no—
1008#382—591no—
1009#382—591no—
1010#381—591no—
1011#380—591no—
1012#380—591no—
1013#379—591no—
1014#379C2×D5911yescharacteristic
1015C4×C22⋊C4—591no—
1016C4×C22⋊C4—591no—
1017C4×C22⋊C4—591no—
1018C4×C22⋊C4—591no—
1019C4×C22⋊C4—591no—
1020C4×C22⋊C4—591no—
1021C4×C22⋊C4—591no—
1022C59#3681811yescharacteristic, complemented, Sylow
1023C25C22×D5911yescharacteristic
1024C2×#41—1184no—
1025C2×#41—2362no—
1026C2×#41—2362no—
1027C22×Q8—591no—
1028C22×Q8—591no—
1029C22×Q8C22×D5911yescharacteristic
1030C22×D4—591no—
1031C22×D4—591no—
1032C22×D4—591no—
1033C22×D4—591no—
1034C22×D4—591no—
1035C22×D4—591no—
1036C22×D4—591no—
1037C22×D4—591no—
1038C22×D4—591no—
1039C22×D4—591no—
1040C22×D4—591no—
1041C22×D4C22×D5911yescharacteristic
1042C22×D4C22×D5911yescharacteristic
1043C22×D4C22×D5911yescharacteristic
1044C22×D4C22×D5911yescharacteristic
1045C22×D4C22×D5911yescharacteristic
1046C22×D4C22×D5911yescharacteristic
1047C22×D4C22×D5911yescharacteristic
1048C23×C4—591no—
1049C23×C4—591no—
1050C23×C4—591no—
1051C23×C4—591no—
1052C23×C4—591no—
1053C23×C4—591no—
1054C23×C4—591no—
1055C23×C4—591no—
1056#127—2362no—
1057#124—42no—
1058#124—42no—
1059#124—2362no—
1060#124—2362no—
1061#124—2362no—
1062#123—2362no—
1063#123—2362no—
1064#123—2362no—
1065#123—2362no—
1066C22⋊Q8—2362no—
1067C22⋊Q8—2362no—
1068#121—1184no—
1069#121—2362no—
1070#121—2362no—
1071#121—2362no—
1072#121—2362no—
1073#120—42no—
1074#120—42no—
1075#120—2362no—
1076#120—2362no—
1077#117—2362no—
1078C2×C4⋊C4—591no—
1079C2×C4⋊C4—591no—
1080C2×C4⋊C4—591no—
1081C2×C4⋊C4—591no—
1082C2×C4⋊C4—591no—
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⋊C4C22×D5911yescharacteristic
1096C2×C4⋊C4C22×D5911yescharacteristic
1097C2×C22⋊C4—591no—
1098C2×C22⋊C4—591no—
1099C2×C22⋊C4—591no—
1100C2×C22⋊C4—591no—
1101C2×C22⋊C4—591no—
1102C2×C22⋊C4—591no—
1103C2×C22⋊C4—591no—
1104C2×C22⋊C4—591no—
1105C2×C22⋊C4—591no—
1106C2×C22⋊C4—591no—
1107C2×C22⋊C4—591no—
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—1184no—
1138C2×C22⋊C4C22×D5911yescharacteristic
1139C2×C22⋊C4C22×D5911yescharacteristic
1140C2×C22⋊C4C22×D5911yescharacteristic
1141C2×C22⋊C4C22×D5911yescharacteristic
1142C2×C22⋊C4C22×D5911yescharacteristic
1143C2×C22⋊C4C22×D5911yescharacteristic
1144C2×C22⋊C4C22×D5911yescharacteristic
1145C2×C22⋊C4C22×D5911yescharacteristic
1146C2×C22⋊C4C22×D5911yescharacteristic
1147C2×C22⋊C4C22×D5911yescharacteristic
1148C2×C22⋊C4C22×D5911yescharacteristic
1149C2×C22⋊C4C22×D5911yescharacteristic
1150C2×C22⋊C4C22×D5911yescharacteristic
1151C2×C22⋊C4C22×D5911yescharacteristic
1152C2×C22⋊C4C22×D5911yescharacteristic
1153C2×C22⋊C4C22×D5911yescharacteristic
1154C2×C22⋊C4C22×D5911yescharacteristic
1155C2×C22⋊C4C22×D5911yescharacteristic
1156C2×C42—591no—
1157C2×C42—591no—
1158C2×C42—591no—
1159C2×C42—591no—
1160C2×C42—591no—
1161C2×C42—591no—
1162C2×C42—591no—
1163C2×C42—591no—
1164C2×C42—2362no—
1165C2×C42C22×D5911yescharacteristic
1166C2×C42C22×D5911yescharacteristic
1167#95—591no—
1168#95—591no—
1169#95—591no—
1170#95—591no—
1171#95—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#95C22×D5911yescharacteristic
1202#95C22×D5911yescharacteristic
1203#95C22×D5911yescharacteristic
1204#95C22×D5911yescharacteristic
1205C24—22no—
1206C24—41no—
1207C24—41no—
1208C24—41no—
1209C24—41no—
1210C24—41no—
1211C24—41no—
1212C24—591no—
1213C24—591no—
1214C24C23×D5911yescharacteristic
1215C24C23×D5911yescharacteristic
1216C24C23×D5911yescharacteristic
1217C24C23×D5911yescharacteristic
1218C24C23×D5911yescharacteristic
1219#41—23616no—
1220C2×Q8—22no—
1221C2×Q8—41no—
1222C2×Q8—41no—
1223C2×Q8—1182no—
1224C2×Q8—1182no—
1225C2×Q8—1182no—
1226C2×Q8—2361no—
1227C2×Q8—2361no—
1228C2×Q8—2361no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
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—41no—
1249C2×D4—41no—
1250C2×D4—1182no—
1251C2×D4—1182no—
1252C2×D4—1182no—
1253C2×D4—1182no—
1254C2×D4—1182no—
1255C2×D4—1182no—
1256C2×D4—1182no—
1257C2×D4—1182no—
1258C2×D4—1182no—
1259C2×D4—1182no—
1260C2×D4—1182no—
1261C2×D4—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—
1282C2×D4—2361no—
1283C22×C4—591no—
1284C22×C4—591no—
1285C22×C4—591no—
1286C22×C4—594no—
1287C22×C4—591no—
1288C22×C4—591no—
1289C22×C4—591no—
1290C22×C4—591no—
1291C22×C4—591no—
1292C22×C4—591no—
1293C22×C4—591no—
1294C22×C4—591no—
1295C22×C4—591no—
1296C22×C4—591no—
1297C22×C4—591no—
1298C22×C4—1182no—
1299C22×C4—1182no—
1300C22×C4—1182no—
1301C22×C4—1182no—
1302C22×C4—1182no—
1303C22×C4—1182no—
1304C22×C4—1182no—
1305C22×C4—2361no—
1306C22×C4—2361no—
1307C22×C4—2361no—
1308C22×C4—2361no—
1309C22×C4—2361no—
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×C4C23×D5911yescharacteristic
1322C22×C4C23×D5911yescharacteristic
1323C22×C4C23×D5911yescharacteristic
1324C22×C4C23×D5911yescharacteristic
1325C22×C4C23×D5911yescharacteristic
1326C22×C4C23×D5911yescharacteristic
1327C22×C4C23×D5911yescharacteristic
1328C22×C4C23×D5911yescharacteristic
1329C22×C4C23×D5911yescharacteristic
1330C22×C4C23×D5911yescharacteristic
1331C4⋊C4—41no—
1332C4⋊C4—41no—
1333C4⋊C4—1182no—
1334C4⋊C4—1182no—
1335C4⋊C4—1182no—
1336C4⋊C4—1182no—
1337C4⋊C4—1182no—
1338C4⋊C4—2361no—
1339C4⋊C4—2361no—
1340C4⋊C4—2361no—
1341C4⋊C4—2361no—
1342C4⋊C4—2361no—
1343C4⋊C4—2361no—
1344C4⋊C4—2361no—
1345C4⋊C4—2361no—
1346C4⋊C4—2361no—
1347C4⋊C4—2361no—
1348C4⋊C4—2361no—
1349C4⋊C4—2361no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—1182no—
1369C22⋊C4—1182no—
1370C22⋊C4—1182no—
1371C22⋊C4—1182no—
1372C22⋊C4—1182no—
1373C22⋊C4—1182no—
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—2361no—
1383C22⋊C4—2361no—
1384C22⋊C4—2361no—
1385C22⋊C4—2361no—
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—
1408C42—22no—
1409C42—41no—
1410C42—1182no—
1411C42—2361no—
1412C42—2361no—
1413C42—2361no—
1414C42—2361no—
1415C42—2361no—
1416C42—2361no—
1417C42—2361no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
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—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—44no—
1453C23—82no—
1454C23—82no—
1455C23—82no—
1456C23—82no—
1457C23—82no—
1458C23—82no—
1459C23—592no—
1460C23—1181no—
1461C23—1181no—
1462C23—1181no—
1463C23—1181no—
1464C23—1181no—
1465C23—1181no—
1466C23—1181no—
1467C23—1181no—
1468C23—1181no—
1469C23—1181no—
1470C23—1181no—
1471C23—1181no—
1472C23—1181no—
1473C23#41×D5912yes—
1474C23C24×D5911yescharacteristic
1475Q8—82no—
1476Q8—4722no—
1477Q8—2364no—
1478D4—44no—
1479D4—82no—
1480D4—82no—
1481D4—82no—
1482D4—82no—
1483D4—82no—
1484D4—82no—
1485D4—4722no—
1486D4—4722no—
1487D4—4722no—
1488D4—4722no—
1489D4—4722no—
1490D4—4722no—
1491D4—4722no—
1492D4—4722no—
1493D4—4722no—
1494D4—2364no—
1495D4—2364no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—592no—
1525C2×C4—592no—
1526C2×C4—592no—
1527C2×C4—1188no—
1528C2×C4—1181no—
1529C2×C4—1181no—
1530C2×C4—1181no—
1531C2×C4—1181no—
1532C2×C4—1181no—
1533C2×C4—1181no—
1534C2×C4—1181no—
1535C2×C4—1181no—
1536C2×C4—1181no—
1537C2×C4—1181no—
1538C2×C4—1181no—
1539C2×C4—1181no—
1540C2×C4—1181no—
1541C2×C4—1181no—
1542C2×C4—1181no—
1543C2×C4—1181no—
1544C2×C4—1181no—
1545C2×C4—1181no—
1546C2×C4—1181no—
1547C2×C4—1181no—
1548C2×C4—1181no—
1549C2×C4—1181no—
1550C2×C4—1181no—
1551C2×C4—1181no—
1552C2×C4—1181no—
1553C2×C4—1181no—
1554C2×C4—1181no—
1555C2×C4—1181no—
1556C2×C4—1181no—
1557C2×C4—1181no—
1558C2×C4—1181no—
1559C2×C4—1181no—
1560C2×C4—1181no—
1561C2×C4—1181no—
1562C2×C4—1181no—
1563C2×C4—1181no—
1564C2×C4—1181no—
1565C2×C4—1181no—
1566C2×C4—1181no—
1567C2×C4—4722no—
1568C2×C4—4722no—
1569C2×C4—4722no—
1570C2×C4—2364no—
1571C2×C4—2364no—
1572C2×C4—2364no—
1573C2×C4—2364no—
1574C2×C4#1427377212yes—
1575C2×C4#1427377212yes—
1576C22—22no—
1577C22—22no—
1578C22—22no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—88no—
1612C22—1182no—
1613C22—1182no—
1614C22—1182no—
1615C22—2361no—
1616C22—2361no—
1617C22—2361no—
1618C22—2361no—
1619C22—2361no—
1620C22—2361no—
1621C22—2361no—
1622C22—2361no—
1623C22—2361no—
1624C22—2361no—
1625C22—2361no—
1626C22C2×#41×D5911yescharacteristic
1627C22H(5,𝔽2)×D5911yescharacteristic
1628C22H(5,𝔽2)×D5911yescharacteristic
1629C22C2×#1427377211yescharacteristic
1630C22C2×#1427377211yescharacteristic
1631C22#1683823711yescharacteristic
1632C22#1683823711yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—1182no—
1644C4—1182no—
1645C4—1182no—
1646C4—2361no—
1647C4—2361no—
1648C4—2361no—
1649C4—2361no—
1650C4—2361no—
1651C4—2361no—
1652C4—2361no—
1653C4—2361no—
1654C4—2361no—
1655C4—2361no—
1656C4—2361no—
1657C2—42no—
1658C2—81no—
1659C2—81no—
1660C2—81no—
1661C2—81no—
1662C2—4721no—
1663C2—2362no—
1664C2#2143747811yescharacteristic
1665C2#2143777811yescharacteristic
1666C2#2143796411yescharacteristic
1667C2#2143841411yescharacteristic
1668C2#2143841711yescharacteristic
1669C2#2143860911yescharacteristic
1670C2#2143861411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2670C2
hypercenter#2670D59
hypocenterC59#36818
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2670

Complements

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

NH ≅ G/Ntype
1. #21432394C2semidirect
2. #21432392C2semidirect
3. #21431392C2semidirect
4. #21431386C2semidirect
5. #21431099C2semidirect
6. #21431089C2semidirect
7. #21430869C2semidirect
8. #21430862C2semidirect
9. #21430791C2semidirect
10. #21430779C2semidirect
11. #21430653C2semidirect
12. #21430641C2semidirect
13. #21430367C2semidirect
14. #21430364C2semidirect
15. #21430318C2semidirect
16. #21430304C2semidirect
17. #21430300C2semidirect
18. #21430085C2semidirect
19. #21430077C2semidirect
20. #21429756C2semidirect
21. #21429193C2semidirect
22. #21429188C2semidirect
23. #21429024C2semidirect
24. #21428288C2semidirect
25. #21428283C2semidirect
26. #21427710C2semidirect
27. #21427412C2semidirect
28. #21426855C2semidirect
29. #21426692C2semidirect
30. #21426583C2semidirect
31. C59×#2670C2semidirect
33. C2×#14273723C22semidirect
36. C2×#14273713C22semidirect
38. C2×#14273709C22semidirect
40. C2×#14273708C22semidirect
41. C2×#14273705C22semidirect
42. C2×#14273703C22semidirect
50. C2×#14273685C22semidirect
52. C2×C42×D59C22semidirect
53. #16837344C22semidirect
54. #16837340C22semidirect
59. #16837336C22semidirect
60. #16837335C22semidirect
61. #16837331C22semidirect
65. #16837330C22semidirect
66. #16837330C22semidirect
68. #16837327C22semidirect
69. #16837325C22semidirect
70. #16837325C22semidirect
71. #16837320C22semidirect
76. #16837317C22semidirect
77. #16837317C22semidirect
80. #16837316C22semidirect
84. #16837314C22semidirect
85. #16837313C22semidirect
95. #16837309C22semidirect
96. #16837309C22semidirect
97. #16837308C22semidirect
98. #16837307C22semidirect
99. #16837306C22semidirect
100. #16837306C22semidirect
101. #16837306C22semidirect
108. #16837302C22semidirect
114. #16837294C22semidirect
115. #16837293C22semidirect
116. #16837293C22semidirect
117. #16837292C22semidirect
123. #16837290C22semidirect
124. #16837290C22semidirect
125. #16837287C22semidirect
126. #16837287C22semidirect
127. #16837286C22semidirect
128. #16837286C22semidirect
129. #16837285C22semidirect
130. #16837284C22semidirect
131. #16837284C22semidirect
132. #16837283C22semidirect
138. #16837282C22semidirect
139. #16837280C22semidirect
140. #16837280C22semidirect
142. #16837279C22semidirect
143. #16837279C22semidirect
152. #16837278C22semidirect
153. #16837278C22semidirect
154. #16837278C22semidirect
155. #16837278C22semidirect
156. #16837278C22semidirect
157. #16837277C22semidirect
158. #16837273C22semidirect
159. #16837268C22semidirect
160. #16837266C22semidirect
168. C22⋊C4×Dic59C22semidirect
169. C22⋊C4×Dic59C22semidirect
170. C22⋊C4×Dic59C22semidirect
171. C4×(C2×D59)⋊C4C22semidirect
837. #2670D59semidirect
1022. C59#36818semidirect

Maximal subgroups

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

subgroupindex
#214323942
#214323922
#214313922
#214313862
#214310992
#214310892
#214308692
#214308622
#214307912
#214307792
#214306532
#214306412
#214303672
#214303642
#214303182
#214303042
#214303002
#214300852
#214300772
#214297562
#214291932
#214291882
#214290242
#214282882
#214282832
#214277102
#214274122
#214268552
#214266922
#214265832
C59×#26702
#3681859