Finite Group Databasebeta

← #29451753

Subgroups — #29451753

Order 15104.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21430487C211yesmaximal, characteristic, complemented
2#21430476C211yesmaximal, characteristic, complemented
3#21430310C211yesmaximal, characteristic
4#21429719C211yesmaximal, characteristic, complemented
5#21429718C211yesmaximal, characteristic, complemented
6#21429681C211yesmaximal, characteristic, complemented
7#21429679C211yesmaximal, characteristic, complemented
8#21429623C211yesmaximal, characteristic, complemented
9#21429621C211yesmaximal, characteristic, complemented
10#21429545C211yesmaximal, characteristic, complemented
11#21429540C211yesmaximal, characteristic, complemented
12#21429438C211yesmaximal, characteristic, complemented
13#21429223C211yesmaximal, characteristic, complemented
14#21429220C211yesmaximal, characteristic, complemented
15#21429062C211yesmaximal, characteristic, complemented
16#21428150C211yesmaximal, characteristic, complemented
17#21428148C211yesmaximal, characteristic, complemented
18#21428135C211yesmaximal, characteristic, complemented
19#21428125C211yesmaximal, characteristic, complemented
20#21428034C211yesmaximal, characteristic, complemented
21#21428026C211yesmaximal, characteristic, complemented
22#21427220C211yesmaximal, characteristic, complemented
23#21427214C211yesmaximal, characteristic, complemented
24#21427203C211yesmaximal, characteristic, complemented
25#21427157C211yesmaximal, characteristic, complemented
26#21427117C211yesmaximal, characteristic, complemented
27#21427109C211yesmaximal, characteristic, complemented
28#120×Dic59C211yesmaximal, characteristic, complemented
29#21426595C211yesmaximal, characteristic, complemented
30#21426595C211yesmaximal, characteristic, complemented
31C59×#2685C211yesmaximal, characteristic, complemented
32C24×Dic59C2211yescharacteristic
33C2×#14273723C2211yescharacteristic
34C2×#14273722C2211yescharacteristic, complemented
35C2×#14273720C2211yescharacteristic
36C2×#14273720C2211yescharacteristic, complemented
37C2×#14273713C2211yescharacteristic
38C2×#14273713C2211yescharacteristic, complemented
39C2×#14273700C2211yescharacteristic
40C2×#14273698C2211yescharacteristic
41C2×#14273696C2211yescharacteristic
42C2×#14273696C2211yescharacteristic
43C2×C4×D236C2211yescharacteristic, complemented
44C2×D4×Dic59C2211yescharacteristic
45C2×D4×Dic59C2211yescharacteristic
46C2×D4×Dic59C2211yescharacteristic
47C2×(C22⋊D59)⋊C4C2211yescharacteristic
48C2×(C22⋊D59)⋊C4C2211yescharacteristic
49C2×(C22⋊D59)⋊C4C2211yescharacteristic
50C2×(C22⋊D59)⋊C4C2211yescharacteristic
51C2×(C22⋊D59)⋊C4C2211yescharacteristic
52C2×(C22⋊D59)⋊C4C2211yescharacteristic
53C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
54C2×C4⋊C4×D59C2211yescharacteristic, complemented
55#16837344C2211yescharacteristic, complemented
56#16837340C2211yescharacteristic, complemented
57#16837338C2211yescharacteristic
58#16837335C2211yescharacteristic, complemented
59#16837332C2211yescharacteristic, complemented
60#16837330C2211yescharacteristic
61#16837330C2211yescharacteristic, complemented
62#16837329C2211yescharacteristic, complemented
63#16837327C2211yescharacteristic
64#16837325C2211yescharacteristic
65#16837319C2211yescharacteristic, complemented
66#16837318C2211yescharacteristic
67#16837318C2211yescharacteristic
68#16837318C2211yescharacteristic
69#16837318C2211yescharacteristic
70#16837318C2211yescharacteristic, complemented
71#16837317C2211yescharacteristic
72#16837317C2211yescharacteristic
73#16837317C2211yescharacteristic
74#16837316C2211yescharacteristic
75#16837314C2211yescharacteristic
76#16837314C2211yescharacteristic
77#16837311C2211yescharacteristic
78#16837310C2211yescharacteristic
79#16837310C2211yescharacteristic
80#16837310C2211yescharacteristic
81#16837307C2211yescharacteristic, complemented
82#16837306C2211yescharacteristic, complemented
83#16837306C2211yescharacteristic, complemented
84#16837303C2211yescharacteristic, complemented
85#16837302C2211yescharacteristic
86#16837302C2211yescharacteristic
87#16837302C2211yescharacteristic, complemented
88#16837302C2211yescharacteristic, complemented
89#16837301C2211yescharacteristic, complemented
90#16837299C2211yescharacteristic, complemented
91#16837298C2211yescharacteristic, complemented
92#16837297C2211yescharacteristic, complemented
93#16837296C2211yescharacteristic
94#16837296C2211yescharacteristic
95#16837296C2211yescharacteristic
96#16837296C2211yescharacteristic, complemented
97#16837295C2211yescharacteristic
98#16837295C2211yescharacteristic
99#16837295C2211yescharacteristic
100#16837295C2211yescharacteristic, complemented
101#16837294C2211yescharacteristic, complemented
102#16837293C2211yescharacteristic, complemented
103#16837292C2211yescharacteristic, complemented
104#16837292C2211yescharacteristic, complemented
105#16837292C2211yescharacteristic, complemented
106#16837291C2211yescharacteristic, complemented
107#16837290C2211yescharacteristic
108#16837290C2211yescharacteristic, complemented
109#16837290C2211yescharacteristic, complemented
110#16837289C2211yescharacteristic, complemented
111#16837288C2211yescharacteristic, complemented
112#16837288C2211yescharacteristic, complemented
113#16837288C2211yescharacteristic, complemented
114#16837288C2211yescharacteristic, complemented
115#16837286C2211yescharacteristic, complemented
116#16837285C2211yescharacteristic, complemented
117#16837284C2211yescharacteristic, complemented
118#16837284C2211yescharacteristic, complemented
119#16837283C2211yescharacteristic, complemented
120#16837282C2211yescharacteristic
121#16837282C2211yescharacteristic
122#16837282C2211yescharacteristic
123#16837280C2211yescharacteristic, complemented
124#16837279C2211yescharacteristic
125#16837279C2211yescharacteristic
126#16837279C2211yescharacteristic
127#16837279C2211yescharacteristic
128#16837279C2211yescharacteristic
129#16837279C2211yescharacteristic
130#16837279C2211yescharacteristic, complemented
131#16837278C2211yescharacteristic
132#16837278C2211yescharacteristic
133#16837278C2211yescharacteristic
134#16837278C2211yescharacteristic
135#16837278C2211yescharacteristic, complemented
136#16837278C2211yescharacteristic, complemented
137#16837277C2211yescharacteristic
138#16837277C2211yescharacteristic
139#16837277C2211yescharacteristic
140#16837276C2211yescharacteristic, complemented
141#16837274C2211yescharacteristic
142#16837274C2211yescharacteristic
143#16837274C2211yescharacteristic
144#16837274C2211yescharacteristic
145#16837274C2211yescharacteristic
146#16837274C2211yescharacteristic
147#16837274C2211yescharacteristic, complemented
148#16837273C2211yescharacteristic, complemented
149#16837273C2211yescharacteristic, complemented
150#16837264C2211yescharacteristic, complemented
151#16837263C2211yescharacteristic, complemented
152#16837259C2211yescharacteristic, complemented
153#16837258C2211yescharacteristic
154C4⋊C4×Dic59C2211yescharacteristic, complemented
155C4⋊C4×Dic59C2211yescharacteristic, complemented
156C4×Dic59⋊C4C2211yescharacteristic, complemented
157C4×Dic59⋊C4C2211yescharacteristic, complemented
158C4×C4⋊Dic59C2211yescharacteristic, complemented
159C22⋊C4×Dic59C2211yescharacteristic
160C22⋊C4×Dic59C2211yescharacteristic
161C22⋊C4×Dic59C2211yescharacteristic
162C22⋊C4×Dic59C2211yescharacteristic
163C22⋊C4×Dic59C2211yescharacteristic
164C22⋊C4×Dic59C2211yescharacteristic
165C22⋊C4×Dic59C2211yescharacteristic
166C22⋊C4×Dic59C2211yescharacteristic
167C22⋊C4×Dic59C2211yescharacteristic
168C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
169#16837249C2211yescharacteristic, complemented
170#16837248C2211yescharacteristic, complemented
171#16837247C2211yescharacteristic, complemented
172C2×#126×C59C2211yescharacteristic
173C2×#120×C59C2211yescharacteristic
174C59×#399C2211yescharacteristic
175C59×#396C2211yescharacteristic
176C59×#394C2211yescharacteristic
177C59×#394C2211yescharacteristic
178C59×#394C2211yescharacteristic
179C59×#394C2211yescharacteristic
180C59×#390C2211yescharacteristic
181C59×#390C2211yescharacteristic
182C59×#388C2211yescharacteristic
183C59×#388C2211yescharacteristic
184C59×#388C2211yescharacteristic
185C59×#379C2211yescharacteristic
186C59×#379C2211yescharacteristic
187C22×Dic118C2311yescharacteristic
188C22×D236C2311yescharacteristic
189C22×C22⋊D59C2311yescharacteristic
190C22×C22⋊D59C2311yescharacteristic
191C22×C22⋊D59C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C23×Dic59—42no—
198C23×Dic59—42no—
199C23×Dic59—42no—
200C23×Dic59C2311yescharacteristic
201C23×Dic59C2311yescharacteristic
202C23×Dic59C2311yescharacteristic
203C23×Dic59C2311yescharacteristic
204C23×Dic59C2311yescharacteristic
205C23×Dic59C2311yescharacteristic
206C23×Dic59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211#14273723—24no—
212#14273722—42no—
213#14273720—24no—
214#14273720—42no—
215#14273713—24no—
216#14273713—42no—
217#14273700—24no—
218#14273698—24no—
219#14273696—24no—
220#14273696—24no—
221C4×D236—42no—
222D4×Dic59—42no—
223D4×Dic59—42no—
224D4×Dic59—42no—
225(C22⋊D59)⋊C4—42no—
226(C22⋊D59)⋊C4—42no—
227(C22⋊D59)⋊C4—42no—
228(C22⋊D59)⋊C4—42no—
229(C22⋊D59)⋊C4—42no—
230(C22⋊D59)⋊C4—42no—
231(C22⋊D59)⋊C4—42no—
232C2×C4⋊Dic59C2311yescharacteristic
233C2×C4⋊Dic59C2311yescharacteristic
234C2×C4⋊Dic59C2311yescharacteristic
235C2×C4⋊Dic59C2311yescharacteristic
236C2×C4⋊Dic59C2311yescharacteristic
237C2×C4⋊Dic59C2311yescharacteristic
238C2×C4⋊Dic59C2311yescharacteristic
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
251C4⋊C4×D59—42no—
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×(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×C4×Dic59C2311yescharacteristic
286C2×C4×Dic59C2311yescharacteristic
287C2×C4×Dic59C2311yescharacteristic
288C2×C4×Dic59C2311yescharacteristic
289C2×C4×Dic59C2311yescharacteristic
290C2×C4×Dic59C2311yescharacteristic
291C2×C4×Dic59C2311yescharacteristic
292C2×C4×Dic59C2311yescharacteristic
293C2×C4×Dic59C2311yescharacteristic
294C2×C4×Dic59C2311yescharacteristic
295C2×C4×Dic59C2311yescharacteristic
296C2×C4×Dic59C2311yescharacteristic
297C2×C4×Dic59C2311yescharacteristic
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
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C25×C59C2311yescharacteristic
333C22×D4×C59C2311yescharacteristic
334C22×D4×C59C2311yescharacteristic
335C22×D4×C59C2311yescharacteristic
336#126×C59—24no—
337#120×C59—24no—
338C2×C4⋊C4×C59C2311yescharacteristic
339C2×C4⋊C4×C59C2311yescharacteristic
340C2×C4⋊C4×C59C2311yescharacteristic
341C2×C4⋊C4×C59C2311yescharacteristic
342C2×C4⋊C4×C59C2311yescharacteristic
343C2×C4⋊C4×C59C2311yescharacteristic
344C2×C22⋊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—22no—
371C24×C59—22no—
372C24×C59—41no—
373C24×C59—41no—
374C24×C59—41no—
375C24×C59—41no—
376C24×C59C2411yescharacteristic
377C24×C59C2411yescharacteristic
378C24×C59C2411yescharacteristic
379C24×C59C2411yescharacteristic
380C23×D59C2411yescharacteristic
381C23×D59C2411yescharacteristic
382C2×D4×C59—22no—
383C2×D4×C59—22no—
384C2×D4×C59—22no—
385C2×D4×C59—22no—
386C2×D4×C59—22no—
387C2×D4×C59—41no—
388C2×D4×C59—41no—
389C2×D4×C59—41no—
390C2×D4×C59—41no—
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
401C22×C4×C59C2411yescharacteristic
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—22no—
410C2×C22⋊D59—22no—
411C2×C22⋊D59—22no—
412C2×C22⋊D59—22no—
413C2×C22⋊D59—22no—
414C2×C22⋊D59—41no—
415C2×C22⋊D59—41no—
416C2×C22⋊D59—41no—
417C2×C22⋊D59—41no—
418C2×C22⋊D59—41no—
419C2×C22⋊D59—41no—
420C2×C22⋊D59—41no—
421C2×C22⋊D59—41no—
422C2×C22⋊D59—41no—
423C2×C22⋊D59—41no—
424C2×C22⋊D59—41no—
425C2×C22⋊D59#4114yes—
426C22×Dic59—22no—
427C22×Dic59—22no—
428C22×Dic59—22no—
429C22×Dic59—22no—
430C22×Dic59—22no—
431C22×Dic59—22no—
432C22×Dic59—22no—
433C22×Dic59—22no—
434C22×Dic59—22no—
435C22×Dic59—22no—
436C22×Dic59—41no—
437C22×Dic59—41no—
438C22×Dic59—41no—
439C22×Dic59—41no—
440C22×Dic59—41no—
441C22×Dic59—41no—
442C22×Dic59—41no—
443C22×Dic59—41no—
444C22×Dic59—41no—
445C22×Dic59—41no—
446C22×Dic59—41no—
447C22×Dic59—416no—
448C22×Dic59C2411yescharacteristic
449C22×Dic59C2411yescharacteristic
450C22×Dic59C2411yescharacteristic
451C22×Dic59C2411yescharacteristic
452C22×Dic59C2411yescharacteristic
453C22×Dic59C2411yescharacteristic
454C22×Dic59C2411yescharacteristic
455C22×Dic59C2411yescharacteristic
456C22×Dic59C2411yescharacteristic
457C22×Dic59C2411yescharacteristic
458C22×Dic59C2411yescharacteristic
459C22×Dic59C2411yescharacteristic
460C22×Dic59C2411yescharacteristic
461C22×Dic59C2411yescharacteristic
462C2×D236—22no—
463C2×D236—22no—
464C2×D236—41no—
465C2×C4×D59—22no—
466C2×C4×D59—22no—
467C2×C4×D59—22no—
468C2×C4×D59—22no—
469C2×C4×D59—41no—
470C2×C4×D59—41no—
471C2×C4×D59—41no—
472C2×C4×D59—41no—
473C2×C4×D59—41no—
474C2×C4×D59—41no—
475C2×C4×D59—41no—
476C2×C4×D59—41no—
477C2×Dic118—22no—
478C2×Dic118—41no—
479C2×Dic118—41no—
480C4⋊C4×C59—22no—
481C4⋊C4×C59—22no—
482C4⋊C4×C59—22no—
483C4⋊C4×C59—41no—
484C4⋊C4×C59—41no—
485C4⋊C4×C59—41no—
486C22⋊C4×C59—22no—
487C22⋊C4×C59—22no—
488C22⋊C4×C59—22no—
489C22⋊C4×C59—22no—
490C22⋊C4×C59—22no—
491C22⋊C4×C59—22no—
492C22⋊C4×C59—41no—
493C22⋊C4×C59—41no—
494C22⋊C4×C59—41no—
495C22⋊C4×C59—41no—
496C22⋊C4×C59—41no—
497C22⋊C4×C59—41no—
498C22⋊C4×C59—41no—
499C22⋊C4×C59—41no—
500C22⋊C4×C59—41no—
501C22⋊C4×C59—41no—
502C22⋊C4×C59—41no—
503C22⋊C4×C59—41no—
504C22⋊C4×C59#4114yes—
505C42×C59—22no—
506C42×C59—41no—
507C22⋊Dic59—22no—
508C22⋊Dic59—22no—
509C22⋊Dic59—22no—
510C22⋊Dic59—22no—
511C22⋊Dic59—22no—
512C22⋊Dic59—22no—
513C22⋊Dic59—22no—
514C22⋊Dic59—22no—
515C22⋊Dic59—22no—
516C22⋊Dic59—22no—
517C22⋊Dic59—41no—
518C22⋊Dic59—41no—
519C22⋊Dic59—41no—
520C22⋊Dic59—41no—
521C22⋊Dic59—41no—
522C22⋊Dic59—41no—
523C22⋊Dic59#4114yes—
524(C2×D59)⋊C4—22no—
525(C2×D59)⋊C4—22no—
526(C2×D59)⋊C4—22no—
527(C2×D59)⋊C4—22no—
528(C2×D59)⋊C4—22no—
529(C2×D59)⋊C4—22no—
530(C2×D59)⋊C4—22no—
531(C2×D59)⋊C4—41no—
532(C2×D59)⋊C4—41no—
533(C2×D59)⋊C4—41no—
534(C2×D59)⋊C4—41no—
535(C2×D59)⋊C4—41no—
536(C2×D59)⋊C4—41no—
537(C2×D59)⋊C4—41no—
538(C2×D59)⋊C4—41no—
539(C2×D59)⋊C4—41no—
540C4⋊Dic59—22no—
541C4⋊Dic59—22no—
542C4⋊Dic59—22no—
543C4⋊Dic59—22no—
544C4⋊Dic59—41no—
545C4⋊Dic59—41no—
546C4⋊Dic59—41no—
547Dic59⋊C4—22no—
548Dic59⋊C4—22no—
549Dic59⋊C4—22no—
550Dic59⋊C4—22no—
551Dic59⋊C4—22no—
552Dic59⋊C4—22no—
553Dic59⋊C4—22no—
554Dic59⋊C4—41no—
555Dic59⋊C4—41no—
556Dic59⋊C4—41no—
557Dic59⋊C4—41no—
558Dic59⋊C4—41no—
559C4×Dic59—22no—
560C4×Dic59—22no—
561C4×Dic59—22no—
562C4×Dic59—22no—
563C4×Dic59—22no—
564C4×Dic59—22no—
565C4×Dic59—41no—
566C4×Dic59—41no—
567C4×Dic59—41no—
568C4×Dic59—41no—
569C4×Dic59—41no—
570C4×Dic59—41no—
571C4×Dic59—41no—
572C23×C59—21no—
573C23×C59—21no—
574C23×C59—21no—
575C23×C59—21no—
576C23×C59—21no—
577C23×C59—21no—
578C23×C59—21no—
579C23×C59—21no—
580C23×C59—21no—
581C23×C59—21no—
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—44no—
598C23×C59—44no—
599C23×C59—44no—
600C23×C59—44no—
601C23×C59—44no—
602C23×C59—44no—
603C23×C59—44no—
604C23×C59C2×#4112yes—
605C23×C59C2×#4112yes—
606C23×C59C2×#4112yes—
607C23×C59C2511yescharacteristic
608C22×D59—21no—
609C22×D59—21no—
610C22×D59—21no—
611C22×D59—21no—
612C22×D59—21no—
613C22×D59—21no—
614C22×D59—21no—
615C22×D59—21no—
616C22×D59—21no—
617C22×D59—21no—
618C22×D59—21no—
619C22×D59—21no—
620C22×D59—21no—
621C22×D59C2×#4112yes—
622D4×C59—44no—
623D4×C59—44no—
624D4×C59—44no—
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—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×C59C2×#4112yes—
657C2×C4×C59C2×#4112yes—
658C22⋊D59—44no—
659C22⋊D59—44no—
660C22⋊D59—44no—
661C22⋊D59—44no—
662C22⋊D59—44no—
663C22⋊D59—44no—
664C22⋊D59—44no—
665C22⋊D59—82no—
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—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—44no—
703C2×Dic59—44no—
704C2×Dic59—44no—
705C2×Dic59—44no—
706C2×Dic59—44no—
707C2×Dic59—44no—
708C2×Dic59—82no—
709C2×Dic59C2×#4112yes—
710C2×Dic59C2×#4112yes—
711C2×Dic59C2×#4112yes—
712C2×Dic59H(5,𝔽2)12yes—
713C2×Dic59H(5,𝔽2)12yes—
714C2×Dic59H(5,𝔽2)12yes—
715D236—44no—
716C4×D59—44no—
717C4×D59—82no—
718C4×D59—82no—
719C4×D59—82no—
720Dic118—82no—
721#60031—591nomaximal, Sylow
722C22×C59—22no—
723C22×C59—22no—
724C22×C59—22no—
725C22×C59—22no—
726C22×C59—22no—
727C22×C59—22no—
728C22×C59—22no—
729C22×C59—22no—
730C22×C59—22no—
731C22×C59—416no—
732C22×C59—41no—
733C22×C59—41no—
734C22×C59—41no—
735C22×C59—41no—
736C22×C59—41no—
737C22×C59—41no—
738C22×C59—41no—
739C22×C59—41no—
740C22×C59—41no—
741C22×C59—41no—
742C22×C59—41no—
743C22×C59—41no—
744C22×C59—41no—
745C22×C59—41no—
746C22×C59—41no—
747C22×C59—41no—
748C22×C59—41no—
749C22×C59—41no—
750C22×C59—41no—
751C22×C59C22×#4111yescharacteristic
752C22×C59C22×#4111yescharacteristic
753C22×C59C22×#4111yescharacteristic
754C22×C59C2×H(5,𝔽2)11yescharacteristic
755C22×C59C2×H(5,𝔽2)11yescharacteristic
756C22×C59C2×H(5,𝔽2)11yescharacteristic
757C22×C59#58511yescharacteristic
758C2×D59—22no—
759C2×D59—22no—
760C2×D59—22no—
761C2×D59—41no—
762C2×D59—41no—
763C2×D59—41no—
764C2×D59—41no—
765C2×D59—41no—
766C2×D59—41no—
767C2×D59—41no—
768C2×D59—41no—
769C2×D59—41no—
770C2×D59—41no—
771C2×D59—41no—
772C4×C59—22no—
773C4×C59—22no—
774C4×C59—41no—
775C4×C59—41no—
776C4×C59—41no—
777C4×C59—41no—
778C4×C59—41no—
779C4×C59—41no—
780C4×C59—41no—
781C4×C59—41no—
782C4×C59—41no—
783Dic59—22no—
784Dic59—22no—
785Dic59—22no—
786Dic59—22no—
787Dic59—22no—
788Dic59—22no—
789Dic59—41no—
790Dic59—41no—
791Dic59—41no—
792Dic59—41no—
793Dic59—41no—
794Dic59—41no—
795Dic59—41no—
796Dic59—41no—
797#2685—591no—
798#2685D5911yescharacteristic, complemented
799#2684—591no—
800#2669—591no—
801#2603—591no—
802#2603—591no—
803#2600—591no—
804#2600—591no—
805#2595—591no—
806#2595—591no—
807#2589—591no—
808#2589—591no—
809#2579—591no—
810#2559—591no—
811#2559—591no—
812#2544—591no—
813#2467—591no—
814#2467—591no—
815#2466—591no—
816#2466—591no—
817#2459—591no—
818#2459—591no—
819#2373—591no—
820#2373—591no—
821#2372—591no—
822#2366—591no—
823#2361—591no—
824#2361—591no—
825C4×#120—591no—
826C4×#120—591no—
827C4×#120—591no—
828C2×C59—42no—
829C2×C59—42no—
830C2×C59—42no—
831C2×C59—81no—
832C2×C59#348111yescharacteristic
833C2×C59#348111yescharacteristic
834C2×C59#348111yescharacteristic
835C2×C59#350511yescharacteristic
836C2×C59#350611yescharacteristic
837C2×C59#350611yescharacteristic
838C2×C59#353211yescharacteristic
839D59—42no—
840D59—81no—
841C24×C4—591no—
842C2×#127—591no—
843C2×#126—591no—
844C2×#126—591no—
845C2×#126—591no—
846C2×#126C2×D5911yescharacteristic
847C2×#124—591no—
848C2×#124—591no—
849C2×#121—591no—
850C2×#121—591no—
851C2×#120—591no—
852C2×#120—591no—
853C2×#120C2×D5911yescharacteristic
854C2×C4×D4—591no—
855C2×C4×D4—591no—
856C2×C4×D4—591no—
857C2×C4×D4—591no—
858C2×C4×D4—591no—
859C2×C4×D4—591no—
860C2×C4×D4—591no—
861C2×C4×D4—591no—
862C2×C4×D4—591no—
863C2×C4×D4—591no—
864C2×C4×D4—591no—
865C22×C4⋊C4—591no—
866#400—591no—
867#400—591no—
868#399—591no—
869#399C2×D5911yescharacteristic
870#398—591no—
871#398—591no—
872#397—591no—
873#397—591no—
874#397—591no—
875#397—591no—
876#396—591no—
877#396C2×D5911yescharacteristic
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#394—591no—
887#394—591no—
888#394C2×D5911yescharacteristic
889#394C2×D5911yescharacteristic
890#394C2×D5911yescharacteristic
891#394C2×D5911yescharacteristic
892#393—591no—
893#393—591no—
894#392—591no—
895#392—591no—
896#392—591no—
897#392—591no—
898#391—591no—
899#391—591no—
900#391—591no—
901#390—591no—
902#390—591no—
903#390—591no—
904#390—591no—
905#390—591no—
906#390C2×D5911yescharacteristic
907#390C2×D5911yescharacteristic
908#389—591no—
909#389—591no—
910#389—591no—
911#389—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#388C2×D5911yescharacteristic
930#388C2×D5911yescharacteristic
931#388C2×D5911yescharacteristic
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#387—591no—
941#387—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#386—591no—
957#386—591no—
958#386—591no—
959#385—591no—
960#385—591no—
961#385—591no—
962#385—591no—
963#385—591no—
964#385—591no—
965#385—591no—
966#385—591no—
967#385—591no—
968#385—591no—
969#385—591no—
970#385—591no—
971#385—591no—
972#381—591no—
973#381—591no—
974#380—591no—
975#379—591no—
976#379C2×D5911yescharacteristic
977#379C2×D5911yescharacteristic
978C4×C4⋊C4—591no—
979C4×C4⋊C4—591no—
980C4×C4⋊C4—591no—
981C4×C4⋊C4—591no—
982C4×C4⋊C4—591no—
983C4×C22⋊C4—591no—
984C4×C22⋊C4—591no—
985C4×C22⋊C4—591no—
986C4×C22⋊C4—591no—
987C4×C22⋊C4—591no—
988C4×C22⋊C4—591no—
989C4×C22⋊C4—591no—
990C4×C22⋊C4—591no—
991C4×C22⋊C4—591no—
992C4×C22⋊C4—591no—
993C4×C22⋊C4—591no—
994#376—591no—
995#376—591no—
996C59#6003111yescharacteristic, complemented, Sylow
997C25C22×D5911yescharacteristic
998C22×Q8—591no—
999C22×D4—591no—
1000C22×D4—591no—
1001C22×D4—591no—
1002C22×D4—591no—
1003C22×D4—591no—
1004C22×D4—591no—
1005C22×D4—591no—
1006C22×D4—591no—
1007C22×D4—591no—
1008C22×D4C22×D5911yescharacteristic
1009C22×D4C22×D5911yescharacteristic
1010C22×D4C22×D5911yescharacteristic
1011C23×C4—591no—
1012C23×C4—591no—
1013C23×C4—591no—
1014C23×C4—591no—
1015C23×C4—591no—
1016C23×C4—591no—
1017C23×C4—591no—
1018C23×C4—591no—
1019C23×C4—591no—
1020C23×C4—591no—
1021C23×C4—591no—
1022C23×C4—2362no—
1023C23×C4—2362no—
1024C23×C4—2362no—
1025#127—1184no—
1026#126—24no—
1027#126—1184no—
1028#126—2362no—
1029#126—2362no—
1030#124—1184no—
1031#124—2362no—
1032#121—1184no—
1033#121—1184no—
1034#120—24no—
1035#120—1184no—
1036#120—1184no—
1037C4×D4—2362no—
1038C4×D4—2362no—
1039C4×D4—2362no—
1040C4×D4—2362no—
1041C4×D4—2362no—
1042C4×D4—2362no—
1043C4×D4—2362no—
1044C4×D4—2362no—
1045C4×D4—2362no—
1046C4×D4—2362no—
1047C4×D4—2362no—
1048C2×C4⋊C4—591no—
1049C2×C4⋊C4—591no—
1050C2×C4⋊C4—591no—
1051C2×C4⋊C4—591no—
1052C2×C4⋊C4—591no—
1053C2×C4⋊C4—591no—
1054C2×C4⋊C4—591no—
1055C2×C4⋊C4—591no—
1056C2×C4⋊C4—591no—
1057C2×C4⋊C4—591no—
1058C2×C4⋊C4—591no—
1059C2×C4⋊C4—591no—
1060C2×C4⋊C4—591no—
1061C2×C4⋊C4—591no—
1062C2×C4⋊C4—591no—
1063C2×C4⋊C4—591no—
1064C2×C4⋊C4—591no—
1065C2×C4⋊C4—591no—
1066C2×C4⋊C4—591no—
1067C2×C4⋊C4—2362no—
1068C2×C4⋊C4C22×D5911yescharacteristic
1069C2×C4⋊C4C22×D5911yescharacteristic
1070C2×C4⋊C4C22×D5911yescharacteristic
1071C2×C4⋊C4C22×D5911yescharacteristic
1072C2×C4⋊C4C22×D5911yescharacteristic
1073C2×C4⋊C4C22×D5911yescharacteristic
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⋊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⋊C4C22×D5911yescharacteristic
1108C2×C22⋊C4C22×D5911yescharacteristic
1109C2×C22⋊C4C22×D5911yescharacteristic
1110C2×C22⋊C4C22×D5911yescharacteristic
1111C2×C22⋊C4C22×D5911yescharacteristic
1112C2×C22⋊C4C22×D5911yescharacteristic
1113C2×C22⋊C4C22×D5911yescharacteristic
1114C2×C22⋊C4C22×D5911yescharacteristic
1115C2×C22⋊C4C22×D5911yescharacteristic
1116C2×C22⋊C4C22×D5911yescharacteristic
1117C2×C22⋊C4C22×D5911yescharacteristic
1118C2×C22⋊C4C22×D5911yescharacteristic
1119C2×C22⋊C4C22×D5911yescharacteristic
1120C2×C22⋊C4C22×D5911yescharacteristic
1121C2×C22⋊C4C22×D5911yescharacteristic
1122C2×C22⋊C4C22×D5911yescharacteristic
1123C2×C22⋊C4C22×D5911yescharacteristic
1124C2×C22⋊C4C22×D5911yescharacteristic
1125C2×C22⋊C4C22×D5911yescharacteristic
1126C2×C42—591no—
1127C2×C42—591no—
1128C2×C42—591no—
1129C2×C42—591no—
1130C2×C42—591no—
1131C2×C42—591no—
1132C2×C42—591no—
1133C2×C42—591no—
1134C2×C42—591no—
1135C2×C42—591no—
1136C2×C42—591no—
1137C2×C42—591no—
1138C2×C42—591no—
1139C2×C42C22×D5911yescharacteristic
1140C2×C42C22×D5911yescharacteristic
1141#95—591no—
1142#95—591no—
1143#95—591no—
1144#95—591no—
1145#95—591no—
1146#95—591no—
1147#95—591no—
1148#95—591no—
1149#95—591no—
1150#95—591no—
1151#95—591no—
1152#95—591no—
1153#95—591no—
1154#95—591no—
1155#95—591no—
1156#95—591no—
1157#95—591no—
1158#95—591no—
1159#95—591no—
1160#95—591no—
1161#95—591no—
1162#95—591no—
1163#95—591no—
1164#95—591no—
1165#95—591no—
1166#95—591no—
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#95C22×D5911yescharacteristic
1176#95C22×D5911yescharacteristic
1177#95C22×D5911yescharacteristic
1178#95C22×D5911yescharacteristic
1179C24—22no—
1180C24—22no—
1181C24—22no—
1182C24—41no—
1183C24—41no—
1184C24—41no—
1185C24—41no—
1186C24—591no—
1187C24—591no—
1188C24C23×D5911yescharacteristic
1189C24C23×D5911yescharacteristic
1190C24C23×D5911yescharacteristic
1191C24C23×D5911yescharacteristic
1192C2×Q8—1182no—
1193C2×Q8—2361no—
1194C2×Q8—2361no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—594no—
1205C2×D4—1182no—
1206C2×D4—1182no—
1207C2×D4—1182no—
1208C2×D4—1182no—
1209C2×D4—1182no—
1210C2×D4—1182no—
1211C2×D4—1182no—
1212C2×D4—1182no—
1213C2×D4—1182no—
1214C2×D4—1182no—
1215C2×D4—1182no—
1216C2×D4—1182no—
1217C2×D4—1182no—
1218C2×D4—1182no—
1219C2×D4—2361no—
1220C2×D4—2361no—
1221C2×D4—2361no—
1222C2×D4—2361no—
1223C2×D4—2361no—
1224C2×D4—2361no—
1225C2×D4—2361no—
1226C2×D4—2361no—
1227C2×D4—2361no—
1228C2×D4—2361no—
1229C2×D4—2361no—
1230C2×D4—2361no—
1231C22×C4—591no—
1232C22×C4—591no—
1233C22×C4—591no—
1234C22×C4—591no—
1235C22×C4—591no—
1236C22×C4—591no—
1237C22×C4—591no—
1238C22×C4—591no—
1239C22×C4—591no—
1240C22×C4—591no—
1241C22×C4—591no—
1242C22×C4—591no—
1243C22×C4—591no—
1244C22×C4—591no—
1245C22×C4—1182no—
1246C22×C4—1182no—
1247C22×C4—1182no—
1248C22×C4—1182no—
1249C22×C4—1182no—
1250C22×C4—1182no—
1251C22×C4—1182no—
1252C22×C4—1182no—
1253C22×C4—1182no—
1254C22×C4—1182no—
1255C22×C4—1182no—
1256C22×C4—1182no—
1257C22×C4—1182no—
1258C22×C4—1182no—
1259C22×C4—2361no—
1260C22×C4—2361no—
1261C22×C4—2361no—
1262C22×C4—2361no—
1263C22×C4—2361no—
1264C22×C4—2361no—
1265C22×C4—2361no—
1266C22×C4—2361no—
1267C22×C4—2361no—
1268C22×C4—2361no—
1269C22×C4—2361no—
1270C22×C4—2361no—
1271C22×C4—2361no—
1272C22×C4—2361no—
1273C22×C4—2361no—
1274C22×C4—2361no—
1275C22×C4—2361no—
1276C22×C4—2361no—
1277C22×C4—2361no—
1278C22×C4—23616no—
1279C22×C4C23×D5911yescharacteristic
1280C22×C4C23×D5911yescharacteristic
1281C22×C4C23×D5911yescharacteristic
1282C22×C4C23×D5911yescharacteristic
1283C22×C4C23×D5911yescharacteristic
1284C22×C4C23×D5911yescharacteristic
1285C22×C4C23×D5911yescharacteristic
1286C22×C4C23×D5911yescharacteristic
1287C22×C4C23×D5911yescharacteristic
1288C22×C4C23×D5911yescharacteristic
1289C22×C4C23×D5911yescharacteristic
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—1182no—
1297C4⋊C4—1182no—
1298C4⋊C4—1182no—
1299C4⋊C4—1182no—
1300C4⋊C4—1182no—
1301C4⋊C4—1182no—
1302C4⋊C4—1182no—
1303C4⋊C4—1182no—
1304C4⋊C4—1182no—
1305C4⋊C4—1182no—
1306C4⋊C4—1182no—
1307C4⋊C4—2361no—
1308C4⋊C4—2361no—
1309C4⋊C4—2361no—
1310C4⋊C4—2361no—
1311C4⋊C4—2361no—
1312C4⋊C4—2361no—
1313C4⋊C4—2361no—
1314C4⋊C4—2361no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—594no—
1334C22⋊C4—1182no—
1335C22⋊C4—1182no—
1336C22⋊C4—1182no—
1337C22⋊C4—1182no—
1338C22⋊C4—1182no—
1339C22⋊C4—1182no—
1340C22⋊C4—1182no—
1341C22⋊C4—1182no—
1342C22⋊C4—1182no—
1343C22⋊C4—1182no—
1344C22⋊C4—1182no—
1345C22⋊C4—1182no—
1346C22⋊C4—1182no—
1347C22⋊C4—1182no—
1348C22⋊C4—1182no—
1349C22⋊C4—1182no—
1350C22⋊C4—1182no—
1351C22⋊C4—2361no—
1352C22⋊C4—2361no—
1353C22⋊C4—2361no—
1354C22⋊C4—2361no—
1355C22⋊C4—2361no—
1356C22⋊C4—2361no—
1357C22⋊C4—2361no—
1358C22⋊C4—2361no—
1359C22⋊C4—2361no—
1360C22⋊C4—2361no—
1361C22⋊C4—2361no—
1362C22⋊C4—2361no—
1363C22⋊C4—2361no—
1364C22⋊C4—2361no—
1365C22⋊C4—2361no—
1366C22⋊C4#1174568714yes—
1367C42—22no—
1368C42—41no—
1369C42—1182no—
1370C42—1182no—
1371C42—1182no—
1372C42—1182no—
1373C42—1182no—
1374C42—1182no—
1375C42—2361no—
1376C42—2361no—
1377C42—2361no—
1378C42—2361no—
1379C42—2361no—
1380C42—2361no—
1381C42—2361no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—44no—
1408C23—44no—
1409C23—44no—
1410C23—44no—
1411C23—44no—
1412C23—44no—
1413C23—44no—
1414C23—592no—
1415C23—1181no—
1416C23—1181no—
1417C23—1181no—
1418C23—1181no—
1419C23—1181no—
1420C23—1181no—
1421C23—1181no—
1422C23—1181no—
1423C23—1181no—
1424C23—1181no—
1425C23—1181no—
1426C23—1181no—
1427C23—1181no—
1428C23#41×D5912yes—
1429C23#41×D5912yes—
1430C23C2×#1174568712yes—
1431C23C24×D5911yescharacteristic
1432Q8—4722no—
1433D4—44no—
1434D4—44no—
1435D4—44no—
1436D4—4722no—
1437D4—2364no—
1438D4—2364no—
1439D4—2364no—
1440D4—2364no—
1441D4—2364no—
1442D4—2364no—
1443D4—2364no—
1444D4—2364no—
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—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—592no—
1477C2×C4—592no—
1478C2×C4—592no—
1479C2×C4—592no—
1480C2×C4—592no—
1481C2×C4—592no—
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—1181no—
1497C2×C4—1181no—
1498C2×C4—1181no—
1499C2×C4—1181no—
1500C2×C4—1181no—
1501C2×C4—1181no—
1502C2×C4—1181no—
1503C2×C4—1181no—
1504C2×C4—1181no—
1505C2×C4—1181no—
1506C2×C4—1181no—
1507C2×C4—1181no—
1508C2×C4—1181no—
1509C2×C4—1181no—
1510C2×C4—1181no—
1511C2×C4—1181no—
1512C2×C4—1181no—
1513C2×C4—1181no—
1514C2×C4—1181no—
1515C2×C4—1181no—
1516C2×C4—1181no—
1517C2×C4—1181no—
1518C2×C4—4722no—
1519C2×C4—4722no—
1520C2×C4—4722no—
1521C2×C4—4722no—
1522C2×C4—2364no—
1523C2×C4—2364no—
1524C2×C4—2364no—
1525C2×C4—2364no—
1526C2×C4—2364no—
1527C2×C4—2364no—
1528C2×C4—2364no—
1529C2×C4C2×#1174568712yes—
1530C2×C4C2×#1174568712yes—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—416no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—1182no—
1561C22—1182no—
1562C22—1182no—
1563C22—2361no—
1564C22—2361no—
1565C22—2361no—
1566C22—2361no—
1567C22—2361no—
1568C22—2361no—
1569C22—2361no—
1570C22—2361no—
1571C22—2361no—
1572C22—2361no—
1573C22—2361no—
1574C22C2×#41×D5911yescharacteristic
1575C22C2×#41×D5911yescharacteristic
1576C22C22×#1174568711yescharacteristic
1577C22H(5,𝔽2)×D5911yescharacteristic
1578C22H(5,𝔽2)×D5911yescharacteristic
1579C22H(5,𝔽2)×D5911yescharacteristic
1580C22#1683823711yescharacteristic
1581C4—22no—
1582C4—22no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—1182no—
1593C4—1182no—
1594C4—1182no—
1595C4—1182no—
1596C4—1182no—
1597C4—1182no—
1598C4—2361no—
1599C4—2361no—
1600C4—2361no—
1601C4—2361no—
1602C4—2361no—
1603C4—2361no—
1604C4—2361no—
1605C4—2361no—
1606C2—42no—
1607C2—42no—
1608C2—42no—
1609C2—81no—
1610C2—4721no—
1611C2—2362no—
1612C2#2143769911yescharacteristic
1613C2#2143770111yescharacteristic
1614C2#2143770111yescharacteristic
1615C2#2143793411yescharacteristic
1616C2#2143794311yescharacteristic
1617C2#2143794711yescharacteristic
1618C2#2143824911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2685C2
prime radical#21430310C2
hypercenter#2685D59
hypocenterC59#60031
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2685

Complements

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

NH ≅ G/Ntype
1. #21430487C2semidirect
2. #21430476C2semidirect
4. #21429719C2semidirect
5. #21429718C2semidirect
6. #21429681C2semidirect
7. #21429679C2semidirect
8. #21429623C2semidirect
9. #21429621C2semidirect
10. #21429545C2semidirect
11. #21429540C2semidirect
12. #21429438C2semidirect
13. #21429223C2semidirect
14. #21429220C2semidirect
15. #21429062C2semidirect
16. #21428150C2semidirect
17. #21428148C2semidirect
18. #21428135C2semidirect
19. #21428125C2semidirect
20. #21428034C2semidirect
21. #21428026C2semidirect
22. #21427220C2semidirect
23. #21427214C2semidirect
24. #21427203C2semidirect
25. #21427157C2semidirect
26. #21427117C2semidirect
27. #21427109C2semidirect
28. #120×Dic59C2semidirect
29. #21426595C2semidirect
30. #21426595C2semidirect
31. C59×#2685C2semidirect
34. C2×#14273722C22semidirect
36. C2×#14273720C22semidirect
38. C2×#14273713C22semidirect
43. C2×C4×D236C22semidirect
53. C2×(C22⋊D59)⋊C4C22semidirect
54. C2×C4⋊C4×D59C22semidirect
55. #16837344C22semidirect
56. #16837340C22semidirect
58. #16837335C22semidirect
59. #16837332C22semidirect
61. #16837330C22semidirect
62. #16837329C22semidirect
65. #16837319C22semidirect
70. #16837318C22semidirect
81. #16837307C22semidirect
82. #16837306C22semidirect
83. #16837306C22semidirect
84. #16837303C22semidirect
87. #16837302C22semidirect
88. #16837302C22semidirect
89. #16837301C22semidirect
90. #16837299C22semidirect
91. #16837298C22semidirect
92. #16837297C22semidirect
96. #16837296C22semidirect
100. #16837295C22semidirect
101. #16837294C22semidirect
102. #16837293C22semidirect
103. #16837292C22semidirect
104. #16837292C22semidirect
105. #16837292C22semidirect
106. #16837291C22semidirect
108. #16837290C22semidirect
109. #16837290C22semidirect
110. #16837289C22semidirect
111. #16837288C22semidirect
112. #16837288C22semidirect
113. #16837288C22semidirect
114. #16837288C22semidirect
115. #16837286C22semidirect
116. #16837285C22semidirect
117. #16837284C22semidirect
118. #16837284C22semidirect
119. #16837283C22semidirect
123. #16837280C22semidirect
130. #16837279C22semidirect
135. #16837278C22semidirect
136. #16837278C22semidirect
140. #16837276C22semidirect
147. #16837274C22semidirect
148. #16837273C22semidirect
149. #16837273C22semidirect
150. #16837264C22semidirect
151. #16837263C22semidirect
152. #16837259C22semidirect
154. C4⋊C4×Dic59C22semidirect
155. C4⋊C4×Dic59C22semidirect
156. C4×Dic59⋊C4C22semidirect
157. C4×Dic59⋊C4C22semidirect
158. C4×C4⋊Dic59C22semidirect
168. C4×(C2×D59)⋊C4C22semidirect
169. #16837249C22semidirect
170. #16837248C22semidirect
171. #16837247C22semidirect
798. #2685D59semidirect
996. C59#60031semidirect

Maximal subgroups

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

subgroupindex
#214304872
#214304762
#214303102
#214297192
#214297182
#214296812
#214296792
#214296232
#214296212
#214295452
#214295402
#214294382
#214292232
#214292202
#214290622
#214281502
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