Finite Group Databasebeta

← #28761970

Subgroups — #28761970

Order 15104.

2176 conjugacy classes of subgroups.

The subgroup lattice has 1624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432465C211yesmaximal, characteristic, complemented
2#21432462C211yesmaximal, characteristic, complemented
3#21432423C211yesmaximal, characteristic, complemented
4#21432394C211yesmaximal, characteristic, complemented
5#21430127C211yesmaximal, characteristic, complemented
6#21430125C211yesmaximal, characteristic, complemented
7#21430082C211yesmaximal, characteristic, complemented
8#21430080C211yesmaximal, characteristic, complemented
9#21429591C211yesmaximal, characteristic, complemented
10#21429589C211yesmaximal, characteristic, complemented
11#21429163C211yesmaximal, characteristic, complemented
12#21429155C211yesmaximal, characteristic, complemented
13#21428692C211yesmaximal, characteristic, complemented
14#21428447C211yesmaximal, characteristic, complemented
15#21428347C211yesmaximal, characteristic, complemented
16#21428339C211yesmaximal, characteristic, complemented
17#21427893C211yesmaximal, characteristic, complemented
18#21427817C211yesmaximal, characteristic, complemented
19#21427745C211yesmaximal, characteristic, complemented
20#21427661C211yesmaximal, characteristic, complemented
21#21427564C211yesmaximal, characteristic, complemented
22#21427562C211yesmaximal, characteristic, complemented
23#21427546C211yesmaximal, characteristic, complemented
24#21427451C211yesmaximal, characteristic
25#21426756C211yesmaximal, characteristic, complemented
26#21426754C211yesmaximal, characteristic, complemented
27#21426691C211yesmaximal, characteristic, complemented
28C4×#14273704C211yesmaximal, characteristic, complemented
29C2×#16837302C211yesmaximal, characteristic, complemented
30C4×(C22⋊D59)⋊C4C211yesmaximal, characteristic, complemented
31C59×#2312C211yesmaximal, characteristic, complemented
32C23×C22⋊D59C2211yescharacteristic
33C2×#14273722C2211yescharacteristic, complemented
34C2×#14273720C2211yescharacteristic, complemented
35C2×#14273717C2211yescharacteristic, complemented
36C2×#14273713C2211yescharacteristic
37C2×#14273713C2211yescharacteristic
38C2×#14273712C2211yescharacteristic, complemented
39C2×#14273709C2211yescharacteristic, complemented
40C2×#14273705C2211yescharacteristic, complemented
41C2×#14273704C2211yescharacteristic
42C2×#14273700C2211yescharacteristic
43C2×#14273700C2211yescharacteristic
44C2×#14273697C2211yescharacteristic
45C2×#14273696C2211yescharacteristic
46C2×C4×Dic118C2211yescharacteristic, complemented
47C2×C4×C22⋊D59C2211yescharacteristic
48C2×(C22⋊D59)⋊C4C2211yescharacteristic
49C2×(C22⋊D59)⋊C4C2211yescharacteristic
50C22×Dic59⋊C4C2211yescharacteristic
51C22×C22⋊Dic59C2211yescharacteristic
52C22×(C2×D59)⋊C4C2211yescharacteristic
53C22×(C2×D59)⋊C4C2211yescharacteristic
54C22×C4×Dic59C2211yescharacteristic
55C2×C42×D59C2211yescharacteristic, complemented
56#16837343C2211yescharacteristic, complemented
57#16837340C2211yescharacteristic, complemented
58#16837338C2211yescharacteristic, complemented
59#16837337C2211yescharacteristic, complemented
60#16837336C2211yescharacteristic, complemented
61#16837336C2211yescharacteristic, complemented
62#16837333C2211yescharacteristic, complemented
63#16837332C2211yescharacteristic, complemented
64#16837331C2211yescharacteristic, complemented
65#16837331C2211yescharacteristic, complemented
66#16837330C2211yescharacteristic, complemented
67#16837330C2211yescharacteristic, complemented
68#16837330C2211yescharacteristic, complemented
69#16837329C2211yescharacteristic, complemented
70#16837328C2211yescharacteristic, complemented
71#16837327C2211yescharacteristic, complemented
72#16837326C2211yescharacteristic, complemented
73#16837325C2211yescharacteristic, complemented
74#16837324C2211yescharacteristic, complemented
75#16837324C2211yescharacteristic, complemented
76#16837320C2211yescharacteristic, complemented
77#16837319C2211yescharacteristic, complemented
78#16837318C2211yescharacteristic
79#16837318C2211yescharacteristic
80#16837318C2211yescharacteristic, complemented
81#16837317C2211yescharacteristic
82#16837317C2211yescharacteristic
83#16837317C2211yescharacteristic
84#16837317C2211yescharacteristic
85#16837317C2211yescharacteristic, complemented
86#16837311C2211yescharacteristic
87#16837311C2211yescharacteristic
88#16837306C2211yescharacteristic, complemented
89#16837306C2211yescharacteristic, complemented
90#16837304C2211yescharacteristic, complemented
91#16837304C2211yescharacteristic, complemented
92#16837302C2211yescharacteristic
93#16837302C2211yescharacteristic
94#16837302C2211yescharacteristic
95#16837302C2211yescharacteristic
96#16837302C2211yescharacteristic
97#16837302C2211yescharacteristic
98#16837302C2211yescharacteristic
99#16837302C2211yescharacteristic
100#16837302C2211yescharacteristic
101#16837302C2211yescharacteristic
102#16837302C2211yescharacteristic
103#16837302C2211yescharacteristic
104#16837302C2211yescharacteristic, complemented
105#16837302C2211yescharacteristic, complemented
106#16837299C2211yescharacteristic, complemented
107#16837299C2211yescharacteristic, complemented
108#16837297C2211yescharacteristic, complemented
109#16837297C2211yescharacteristic, complemented
110#16837296C2211yescharacteristic, complemented
111#16837296C2211yescharacteristic, complemented
112#16837296C2211yescharacteristic, complemented
113#16837296C2211yescharacteristic, complemented
114#16837295C2211yescharacteristic, complemented
115#16837295C2211yescharacteristic, complemented
116#16837294C2211yescharacteristic, complemented
117#16837294C2211yescharacteristic, complemented
118#16837294C2211yescharacteristic, complemented
119#16837293C2211yescharacteristic, complemented
120#16837293C2211yescharacteristic, complemented
121#16837293C2211yescharacteristic, complemented
122#16837293C2211yescharacteristic, complemented
123#16837293C2211yescharacteristic, complemented
124#16837293C2211yescharacteristic, complemented
125#16837292C2211yescharacteristic, complemented
126#16837292C2211yescharacteristic, complemented
127#16837291C2211yescharacteristic, complemented
128#16837291C2211yescharacteristic, complemented
129#16837291C2211yescharacteristic, complemented
130#16837291C2211yescharacteristic, complemented
131#16837291C2211yescharacteristic, complemented
132#16837291C2211yescharacteristic, complemented
133#16837290C2211yescharacteristic, complemented
134#16837290C2211yescharacteristic, complemented
135#16837290C2211yescharacteristic, complemented
136#16837289C2211yescharacteristic, complemented
137#16837285C2211yescharacteristic, complemented
138#16837281C2211yescharacteristic
139#16837280C2211yescharacteristic, complemented
140#16837280C2211yescharacteristic, complemented
141#16837280C2211yescharacteristic, complemented
142#16837279C2211yescharacteristic
143#16837278C2211yescharacteristic, complemented
144#16837278C2211yescharacteristic, complemented
145#16837278C2211yescharacteristic, complemented
146#16837277C2211yescharacteristic
147#16837277C2211yescharacteristic
148#16837275C2211yescharacteristic
149#16837274C2211yescharacteristic
150#16837266C2211yescharacteristic, complemented
151#16837261C2211yescharacteristic, complemented
152#16837260C2211yescharacteristic
153#16837260C2211yescharacteristic
154#16837260C2211yescharacteristic
155#16837258C2211yescharacteristic
156#16837257C2211yescharacteristic
157#16837257C2211yescharacteristic
158#16837257C2211yescharacteristic
159C4×Dic59⋊C4C2211yescharacteristic, complemented
160C4×Dic59⋊C4C2211yescharacteristic, complemented
161C4×Dic59⋊C4C2211yescharacteristic, complemented
162C4×C4⋊Dic59C2211yescharacteristic, complemented
163#16837253C2211yescharacteristic, complemented
164#16837253C2211yescharacteristic, complemented
165C22⋊C4×Dic59C2211yescharacteristic
166C22⋊C4×Dic59C2211yescharacteristic
167C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
168C4×C22⋊Dic59C2211yescharacteristic
169#16837249C2211yescharacteristic, complemented
170#16837249C2211yescharacteristic, complemented
171C42×Dic59C2211yescharacteristic, complemented
172C22×C22⋊C4×C59C2211yescharacteristic
173C59×#388C2211yescharacteristic, complemented
174C59×#388C2211yescharacteristic, complemented
175C59×#388C2211yescharacteristic, complemented
176C59×#388C2211yescharacteristic, complemented
177C59×#388C2211yescharacteristic, complemented
178C59×#388C2211yescharacteristic, complemented
179C59×#388C2211yescharacteristic, complemented
180C59×#388C2211yescharacteristic, complemented
181C59×#380C2211yescharacteristic
182C59×#380C2211yescharacteristic
183C59×#379C2211yescharacteristic
184C59×#379C2211yescharacteristic
185C4×C22⋊C4×C59C2211yescharacteristic
186C4×C22⋊C4×C59C2211yescharacteristic
187C24×D59C2311yescharacteristic
188C22×Dic118C2311yescharacteristic
189C22×D236C2311yescharacteristic
190C22×D236C2311yescharacteristic
191C22×C22⋊D59—24no—
192C22×C22⋊D59—42no—
193C22×C22⋊D59—42no—
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C23×Dic59C2311yescharacteristic
202C23×Dic59C2311yescharacteristic
203C23×Dic59C2311yescharacteristic
204C22×C4×D59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207#14273722—42no—
208#14273720—42no—
209#14273717—42no—
210#14273713—42no—
211#14273713—42no—
212#14273712—42no—
213#14273709—42no—
214#14273705—42no—
215#14273704—24no—
216#14273700—42no—
217#14273700—42no—
218#14273697—24no—
219#14273696—24no—
220C4×Dic118—42no—
221C4×C22⋊D59—24no—
222(C22⋊D59)⋊C4—24no—
223(C22⋊D59)⋊C4—24no—
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×Dic59⋊C4C2311yescharacteristic
245C2×Dic59⋊C4C2311yescharacteristic
246C2×Dic59⋊C4C2311yescharacteristic
247C2×Dic59⋊C4C2311yescharacteristic
248C2×Dic59⋊C4C2311yescharacteristic
249C2×C22⋊Dic59—42no—
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×(C2×D59)⋊C4—24no—
264C2×(C2×D59)⋊C4—42no—
265C2×(C2×D59)⋊C4C2311yescharacteristic
266C2×(C2×D59)⋊C4C2311yescharacteristic
267C2×(C2×D59)⋊C4C2311yescharacteristic
268C2×(C2×D59)⋊C4C2311yescharacteristic
269C2×(C2×D59)⋊C4C2311yescharacteristic
270C2×(C2×D59)⋊C4C2311yescharacteristic
271C2×(C2×D59)⋊C4C2311yescharacteristic
272C2×(C2×D59)⋊C4C2311yescharacteristic
273C2×(C2×D59)⋊C4C2311yescharacteristic
274C2×(C2×D59)⋊C4C2311yescharacteristic
275C2×(C2×D59)⋊C4C2311yescharacteristic
276C2×(C2×D59)⋊C4C2311yescharacteristic
277C2×(C2×D59)⋊C4C2311yescharacteristic
278C2×(C2×D59)⋊C4C2311yescharacteristic
279C2×(C2×D59)⋊C4C2311yescharacteristic
280C2×(C2×D59)⋊C4C2311yescharacteristic
281C2×(C2×D59)⋊C4C2311yescharacteristic
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×(C2×D59)⋊C4C2311yescharacteristic
284C2×(C2×D59)⋊C4C2311yescharacteristic
285C2×(C2×D59)⋊C4C2311yescharacteristic
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C2×(C2×D59)⋊C4C2311yescharacteristic
288C2×(C2×D59)⋊C4C2311yescharacteristic
289C2×(C2×D59)⋊C4C2311yescharacteristic
290C2×(C2×D59)⋊C4C2311yescharacteristic
291C2×(C2×D59)⋊C4C2311yescharacteristic
292C2×(C2×D59)⋊C4C2311yescharacteristic
293C2×(C2×D59)⋊C4C2311yescharacteristic
294C2×C4×Dic59—42no—
295C2×C4×Dic59C2311yescharacteristic
296C2×C4×Dic59C2311yescharacteristic
297C2×C4×Dic59C2311yescharacteristic
298C2×C4×Dic59C2311yescharacteristic
299C2×C4×Dic59C2311yescharacteristic
300C2×C4×Dic59C2311yescharacteristic
301C2×C4×Dic59C2311yescharacteristic
302C2×C4×Dic59C2311yescharacteristic
303C2×C4×Dic59C2311yescharacteristic
304C2×C4×Dic59C2311yescharacteristic
305C2×C4×Dic59C2311yescharacteristic
306C2×C4×Dic59C2311yescharacteristic
307C2×C4×Dic59C2311yescharacteristic
308C42×D59—42no—
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
332C59⋊#95C2311yescharacteristic
333C25×C59C2311yescharacteristic
334C23×C4×C59C2311yescharacteristic
335C23×C4×C59C2311yescharacteristic
336C2×C4⋊C4×C59C2311yescharacteristic
337C2×C4⋊C4×C59C2311yescharacteristic
338C2×C4⋊C4×C59C2311yescharacteristic
339C2×C4⋊C4×C59C2311yescharacteristic
340C2×C22⋊C4×C59—24no—
341C2×C22⋊C4×C59C2311yescharacteristic
342C2×C22⋊C4×C59C2311yescharacteristic
343C2×C22⋊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×C42×C59C2311yescharacteristic
358C2×C42×C59C2311yescharacteristic
359C2×C42×C59C2311yescharacteristic
360C2×C42×C59C2311yescharacteristic
361#95×C59C2311yescharacteristic
362#95×C59C2311yescharacteristic
363#95×C59C2311yescharacteristic
364#95×C59C2311yescharacteristic
365#95×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369C24×C59—22no—
370C24×C59—22no—
371C24×C59—22no—
372C24×C59—41no—
373C24×C59—41no—
374C24×C59—41no—
375C24×C59—41no—
376C24×C59C2411yescharacteristic
377C24×C59C2411yescharacteristic
378C24×C59C2411yescharacteristic
379C23×D59—22no—
380C23×D59—22no—
381C23×D59—22no—
382C23×D59—41no—
383C23×D59—41no—
384C23×D59—41no—
385C23×D59—41no—
386C23×D59C2411yescharacteristic
387C23×D59C2411yescharacteristic
388C23×D59C2411yescharacteristic
389C22×C4×C59—22no—
390C22×C4×C59—41no—
391C22×C4×C59—41no—
392C22×C4×C59—41no—
393C22×C4×C59—41no—
394C22×C4×C59#4114yes—
395C22×C4×C59C2411yescharacteristic
396C22×C4×C59C2411yescharacteristic
397C22×C4×C59C2411yescharacteristic
398C22×C4×C59C2411yescharacteristic
399C22×C4×C59C2411yescharacteristic
400C22×C4×C59C2411yescharacteristic
401C22×C4×C59C2411yescharacteristic
402C22×C4×C59C2411yescharacteristic
403C22×C4×C59C2411yescharacteristic
404C22×C4×C59C2411yescharacteristic
405C22×C4×C59C2411yescharacteristic
406C22×C4×C59C2411yescharacteristic
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—22no—
415C2×C22⋊D59—22no—
416C2×C22⋊D59—22no—
417C2×C22⋊D59—22no—
418C2×C22⋊D59—22no—
419C2×C22⋊D59—41no—
420C2×C22⋊D59—41no—
421C2×C22⋊D59—41no—
422C2×C22⋊D59—41no—
423C2×C22⋊D59—416no—
424C2×C22⋊D59—41no—
425C2×C22⋊D59—41no—
426C2×C22⋊D59—41no—
427C2×C22⋊D59—41no—
428C2×C22⋊D59#4114yes—
429C22×Dic59—22no—
430C22×Dic59—22no—
431C22×Dic59—22no—
432C22×Dic59—22no—
433C22×Dic59—22no—
434C22×Dic59—41no—
435C22×Dic59—41no—
436C22×Dic59—41no—
437C22×Dic59#4114yes—
438C22×Dic59C2411yescharacteristic
439C22×Dic59C2411yescharacteristic
440C22×Dic59C2411yescharacteristic
441C22×Dic59C2411yescharacteristic
442C22×Dic59C2411yescharacteristic
443C22×Dic59C2411yescharacteristic
444C22×Dic59C2411yescharacteristic
445C22×Dic59C2411yescharacteristic
446C22×Dic59C2411yescharacteristic
447C22×Dic59C2411yescharacteristic
448C22×Dic59C2411yescharacteristic
449C22×Dic59C2411yescharacteristic
450C22×Dic59C2411yescharacteristic
451C2×D236—22no—
452C2×D236—22no—
453C2×D236—41no—
454C2×D236—41no—
455C2×D236—41no—
456C2×D236—41no—
457C2×C4×D59—22no—
458C2×C4×D59—22no—
459C2×C4×D59—22no—
460C2×C4×D59—22no—
461C2×C4×D59—22no—
462C2×C4×D59—22no—
463C2×C4×D59—41no—
464C2×C4×D59—41no—
465C2×C4×D59—41no—
466C2×Dic118—22no—
467C2×Dic118—22no—
468C2×Dic118—22no—
469C4⋊C4×C59—41no—
470C4⋊C4×C59—41no—
471C4⋊C4×C59—41no—
472C4⋊C4×C59—41no—
473C22⋊C4×C59—22no—
474C22⋊C4×C59—22no—
475C22⋊C4×C59—22no—
476C22⋊C4×C59—22no—
477C22⋊C4×C59—22no—
478C22⋊C4×C59—22no—
479C22⋊C4×C59—22no—
480C22⋊C4×C59—22no—
481C22⋊C4×C59—41no—
482C22⋊C4×C59—41no—
483C22⋊C4×C59—41no—
484C22⋊C4×C59—41no—
485C22⋊C4×C59—41no—
486C22⋊C4×C59—41no—
487C22⋊C4×C59—41no—
488C22⋊C4×C59—41no—
489C42×C59—41no—
490C42×C59—41no—
491C42×C59—41no—
492C42×C59—41no—
493C22⋊Dic59—22no—
494C22⋊Dic59—22no—
495C22⋊Dic59—22no—
496C22⋊Dic59—22no—
497C22⋊Dic59—22no—
498C22⋊Dic59—22no—
499C22⋊Dic59—22no—
500C22⋊Dic59—41no—
501C22⋊Dic59—41no—
502C22⋊Dic59—41no—
503C22⋊Dic59—41no—
504C22⋊Dic59—41no—
505C22⋊Dic59—41no—
506(C2×D59)⋊C4—22no—
507(C2×D59)⋊C4—22no—
508(C2×D59)⋊C4—22no—
509(C2×D59)⋊C4—22no—
510(C2×D59)⋊C4—22no—
511(C2×D59)⋊C4—22no—
512(C2×D59)⋊C4—22no—
513(C2×D59)⋊C4—22no—
514(C2×D59)⋊C4—22no—
515(C2×D59)⋊C4—22no—
516(C2×D59)⋊C4—22no—
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—
531(C2×D59)⋊C4—41no—
532(C2×D59)⋊C4—41no—
533(C2×D59)⋊C4—41no—
534(C2×D59)⋊C4—41no—
535C4⋊Dic59—22no—
536C4⋊Dic59—22no—
537C4⋊Dic59—41no—
538C4⋊Dic59—41no—
539C4⋊Dic59—41no—
540Dic59⋊C4—22no—
541Dic59⋊C4—22no—
542Dic59⋊C4—22no—
543Dic59⋊C4—22no—
544Dic59⋊C4—22no—
545Dic59⋊C4—22no—
546Dic59⋊C4—22no—
547Dic59⋊C4—22no—
548Dic59⋊C4—22no—
549Dic59⋊C4—22no—
550Dic59⋊C4—41no—
551Dic59⋊C4—41no—
552Dic59⋊C4—41no—
553Dic59⋊C4—41no—
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—22no—
566C4×Dic59—22no—
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—44no—
591C23×C59—44no—
592C23×C59—44no—
593C23×C59—82no—
594C23×C59—82no—
595C23×C59—82no—
596C23×C59—82no—
597C23×C59C2×#4112yes—
598C23×C59C2×#4112yes—
599C23×C59C2×#4112yes—
600C23×C59C2511yescharacteristic
601C22×D59—21no—
602C22×D59—21no—
603C22×D59—21no—
604C22×D59—21no—
605C22×D59—21no—
606C22×D59—21no—
607C22×D59—21no—
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×D59—44no—
622C22×D59—44no—
623C22×D59—44no—
624C22×D59—82no—
625C22×D59—82no—
626C22×D59—82no—
627C22×D59—82no—
628C22×D59C2×#4112yes—
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×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—44no—
664C2×C4×C59—82no—
665C2×C4×C59C2×#4112yes—
666C2×C4×C59C2×#4112yes—
667C22⋊D59—28no—
668C22⋊D59—44no—
669C22⋊D59—44no—
670C22⋊D59—44no—
671C22⋊D59—44no—
672C22⋊D59—82no—
673C22⋊D59—82no—
674C2×Dic59—21no—
675C2×Dic59—21no—
676C2×Dic59—21no—
677C2×Dic59—21no—
678C2×Dic59—21no—
679C2×Dic59—21no—
680C2×Dic59—28no—
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—21no—
703C2×Dic59—21no—
704C2×Dic59—21no—
705C2×Dic59—21no—
706C2×Dic59—21no—
707C2×Dic59—21no—
708C2×Dic59—44no—
709C2×Dic59—82no—
710C2×Dic59C2×#4112yes—
711C2×Dic59C2×#4112yes—
712C2×Dic59C2×#4112yes—
713C2×Dic59H(5,𝔽2)12yes—
714C2×Dic59H(5,𝔽2)12yes—
715C2×Dic59H(5,𝔽2)12yes—
716D236—82no—
717D236—82no—
718C4×D59—44no—
719C4×D59—44no—
720C4×D59—44no—
721Dic118—44no—
722#35025—591nomaximal, Sylow
723C22×C59—22no—
724C22×C59—22no—
725C22×C59—22no—
726C22×C59—22no—
727C22×C59—22no—
728C22×C59—22no—
729C22×C59—41no—
730C22×C59—41no—
731C22×C59—41no—
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—88no—
744C22×C59#52914yes—
745C22×C59C22×#4111yescharacteristic
746C22×C59C22×#4111yescharacteristic
747C22×C59C22×#4111yescharacteristic
748C22×C59C2×H(5,𝔽2)11yescharacteristic
749C22×C59C2×H(5,𝔽2)11yescharacteristic
750C22×C59C2×H(5,𝔽2)11yescharacteristic
751C22×C59#58511yescharacteristic
752C2×D59—22no—
753C2×D59—22no—
754C2×D59—22no—
755C2×D59—41no—
756C2×D59—41no—
757C2×D59—41no—
758C2×D59—41no—
759C2×D59—41no—
760C2×D59—41no—
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—
772C2×D59—41no—
773C2×D59—88no—
774C4×C59—22no—
775C4×C59—22no—
776C4×C59—41no—
777C4×C59—41no—
778C4×C59—41no—
779C4×C59—41no—
780C4×C59—41no—
781C4×C59—41no—
782C4×C59—41no—
783C4×C59—41no—
784C4×C59—41no—
785C4×C59—41no—
786Dic59—22no—
787Dic59—22no—
788Dic59—22no—
789Dic59—41no—
790Dic59—41no—
791Dic59—41no—
792Dic59—41no—
793Dic59—41no—
794Dic59—41no—
795Dic59—41no—
796Dic59—41no—
797Dic59—41no—
798Dic59#53814yes—
799#2861—591no—
800#2860—591no—
801#2854—591no—
802#2850—591no—
803#2651—591no—
804#2651—591no—
805#2648—591no—
806#2648—591no—
807#2593—591no—
808#2593—591no—
809#2554—591no—
810#2554—591no—
811#2513—591no—
812#2490—591no—
813#2480—591no—
814#2480—591no—
815#2448—591no—
816#2442—591no—
817#2435—591no—
818#2426—591no—
819#2418—591no—
820#2418—591no—
821#2417—591no—
822#2408—591no—
823#2321—591no—
824#2321—591no—
825#2312—591no—
826#2312D5911yescharacteristic, complemented
827C4×C22⋊Q8—591no—
828C2×#390—591no—
829C42×D4—591no—
830C2×C59—24no—
831C2×C59—81no—
832C2×C59—81no—
833C2×C59C2×#52911yescharacteristic
834C2×C59C2×#53811yescharacteristic
835C2×C59#346011yescharacteristic
836C2×C59#350511yescharacteristic
837C2×C59#350811yescharacteristic
838C2×C59#351411yescharacteristic
839C2×C59#351911yescharacteristic
840D59—42no—
841D59—81no—
842D59—81no—
843C23×D4—591no—
844C2×#126—591no—
845C2×#126—591no—
846C2×#125—591no—
847C2×#124—591no—
848C2×#124—591no—
849C2×#123—591no—
850C2×#123—591no—
851C2×C22⋊Q8—591no—
852C2×C22⋊Q8—591no—
853C2×#121—591no—
854C2×#121—591no—
855C2×#120—591no—
856C2×#120—591no—
857C2×C4×Q8—591no—
858C2×C4×D4—591no—
859C2×C4×D4—591no—
860C2×C4×D4—591no—
861C22×C4⋊C4—591no—
862C22×C22⋊C4—591no—
863C22×C22⋊C4—591no—
864C22×C22⋊C4—591no—
865C22×C22⋊C4C2×D5911yescharacteristic
866C22×C42—591no—
867C22×C42—591no—
868#400—591no—
869#400—591no—
870#399—591no—
871#399—591no—
872#398—591no—
873#398—591no—
874#398—591no—
875#398—591no—
876#397—591no—
877#397—591no—
878#397—591no—
879#397—591no—
880#397—591no—
881#397—591no—
882#397—591no—
883#397—591no—
884#396—591no—
885#396—591no—
886#396—591no—
887#396—591no—
888#394—591no—
889#394—591no—
890#394—591no—
891#394—591no—
892#394—591no—
893#394—591no—
894#394—591no—
895#394—591no—
896#394—591no—
897#394—591no—
898#392—591no—
899#392—591no—
900#391—591no—
901#391—591no—
902#390—591no—
903#390—591no—
904#390—591no—
905#390—591no—
906#390—591no—
907#390—591no—
908#390—591no—
909#390—591no—
910#390—591no—
911#390—591no—
912#390—591no—
913#390—591no—
914#390—591no—
915#390—591no—
916#390—591no—
917#390—591no—
918#389—591no—
919#389—591no—
920#389—591no—
921#389—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#388—591no—
931#388—591no—
932#388—591no—
933#388—591no—
934#388—591no—
935#388—591no—
936#388—591no—
937#388—591no—
938#388—591no—
939#388—591no—
940#388—591no—
941#388—591no—
942#388—591no—
943#388—591no—
944#388—591no—
945#388—591no—
946#388—591no—
947#388—591no—
948#388C2×D5911yescharacteristic, complemented
949#388C2×D5911yescharacteristic, complemented
950#388C2×D5911yescharacteristic, complemented
951#388C2×D5911yescharacteristic, complemented
952#388C2×D5911yescharacteristic, complemented
953#388C2×D5911yescharacteristic, complemented
954#388C2×D5911yescharacteristic, complemented
955#388C2×D5911yescharacteristic, complemented
956#387—591no—
957#387—591no—
958#386—591no—
959#386—591no—
960#386—591no—
961#386—591no—
962#386—591no—
963#386—591no—
964#386—591no—
965#386—591no—
966#385—591no—
967#385—591no—
968#385—591no—
969#385—591no—
970#382—591no—
971#380—591no—
972#380—591no—
973#380—591no—
974#380—591no—
975#380C2×D5911yescharacteristic
976#380C2×D5911yescharacteristic
977#379—591no—
978#379—591no—
979#379—591no—
980#379—591no—
981#379C2×D5911yescharacteristic
982#379C2×D5911yescharacteristic
983C4×C4⋊C4—591no—
984C4×C4⋊C4—591no—
985C4×C4⋊C4—591no—
986C4×C4⋊C4—591no—
987C4×C4⋊C4—591no—
988C4×C4⋊C4—591no—
989C4×C22⋊C4—591no—
990C4×C22⋊C4—591no—
991C4×C22⋊C4—591no—
992C4×C22⋊C4—591no—
993C4×C22⋊C4—591no—
994C4×C22⋊C4—591no—
995C4×C22⋊C4C2×D5911yescharacteristic
996C4×C22⋊C4C2×D5911yescharacteristic
997C43—591no—
998C59#3502511yescharacteristic, complemented, Sylow
999C25—591no—
1000C25C22×D5911yescharacteristic
1001C22×Q8—591no—
1002C22×D4—591no—
1003C22×D4—591no—
1004C22×D4—591no—
1005C22×D4—591no—
1006C22×D4—591no—
1007C22×D4—591no—
1008C22×D4—591no—
1009C22×D4—591no—
1010C22×D4—591no—
1011C22×D4—1184no—
1012C22×D4—2362no—
1013C22×D4—2362no—
1014C23×C4—591no—
1015C23×C4—591no—
1016C23×C4—591no—
1017C23×C4—591no—
1018C23×C4—591no—
1019C23×C4—591no—
1020C23×C4C22×D5911yescharacteristic
1021C23×C4C22×D5911yescharacteristic
1022#126—2362no—
1023#126—2362no—
1024#125—2362no—
1025#124—2362no—
1026#124—2362no—
1027#123—2362no—
1028#123—2362no—
1029C22⋊Q8—1184no—
1030C22⋊Q8—2362no—
1031#121—2362no—
1032#121—2362no—
1033#120—1184no—
1034#120—1184no—
1035C4×Q8—2362no—
1036C4×D4—1184no—
1037C4×D4—1184no—
1038C4×D4—1184no—
1039C2×C4⋊C4—591no—
1040C2×C4⋊C4—591no—
1041C2×C4⋊C4—591no—
1042C2×C4⋊C4—591no—
1043C2×C4⋊C4—591no—
1044C2×C4⋊C4—591no—
1045C2×C4⋊C4—591no—
1046C2×C4⋊C4—591no—
1047C2×C4⋊C4—591no—
1048C2×C4⋊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—2362no—
1064C2×C4⋊C4C22×D5911yescharacteristic
1065C2×C4⋊C4C22×D5911yescharacteristic
1066C2×C4⋊C4C22×D5911yescharacteristic
1067C2×C4⋊C4C22×D5911yescharacteristic
1068C2×C22⋊C4—24no—
1069C2×C22⋊C4—591no—
1070C2×C22⋊C4—591no—
1071C2×C22⋊C4—591no—
1072C2×C22⋊C4—591no—
1073C2×C22⋊C4—591no—
1074C2×C22⋊C4—591no—
1075C2×C22⋊C4—591no—
1076C2×C22⋊C4—591no—
1077C2×C22⋊C4—591no—
1078C2×C22⋊C4—591no—
1079C2×C22⋊C4—591no—
1080C2×C22⋊C4—591no—
1081C2×C22⋊C4—591no—
1082C2×C22⋊C4—591no—
1083C2×C22⋊C4—591no—
1084C2×C22⋊C4—591no—
1085C2×C22⋊C4—591no—
1086C2×C22⋊C4—591no—
1087C2×C22⋊C4—591no—
1088C2×C22⋊C4—591no—
1089C2×C22⋊C4—591no—
1090C2×C22⋊C4—591no—
1091C2×C22⋊C4—591no—
1092C2×C22⋊C4—591no—
1093C2×C22⋊C4—591no—
1094C2×C22⋊C4—591no—
1095C2×C22⋊C4—591no—
1096C2×C22⋊C4—591no—
1097C2×C22⋊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—1184no—
1112C2×C22⋊C4—2362no—
1113C2×C22⋊C4—2362no—
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×C22⋊C4C22×D5911yescharacteristic
1127C2×C22⋊C4C22×D5911yescharacteristic
1128C2×C22⋊C4C22×D5911yescharacteristic
1129C2×C22⋊C4C22×D5911yescharacteristic
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×C42—591no—
1140C2×C42—591no—
1141C2×C42—591no—
1142C2×C42—591no—
1143C2×C42—2362no—
1144C2×C42—2362no—
1145C2×C42C22×D5911yescharacteristic
1146C2×C42C22×D5911yescharacteristic
1147C2×C42C22×D5911yescharacteristic
1148C2×C42C22×D5911yescharacteristic
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#95C22×D5911yescharacteristic
1174#95C22×D5911yescharacteristic
1175#95C22×D5911yescharacteristic
1176#95C22×D5911yescharacteristic
1177#95C22×D5911yescharacteristic
1178#95C22×D5911yescharacteristic
1179#95C22×D5911yescharacteristic
1180#95C22×D5911yescharacteristic
1181C24—22no—
1182C24—22no—
1183C24—22no—
1184C24—41no—
1185C24—41no—
1186C24—41no—
1187C24—41no—
1188C24—591no—
1189C24—591no—
1190C24—591no—
1191C24—1182no—
1192C24—1182no—
1193C24—1182no—
1194C24—2361no—
1195C24—2361no—
1196C24—2361no—
1197C24—2361no—
1198C24C23×D5911yescharacteristic
1199C24C23×D5911yescharacteristic
1200C24C23×D5911yescharacteristic
1201C2×Q8—1182no—
1202C2×Q8—1182no—
1203C2×Q8—1182no—
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—
1231C2×D4—23616no—
1232C22×C4—22no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—591no—
1238C22×C4—594no—
1239C22×C4—591no—
1240C22×C4—591no—
1241C22×C4—591no—
1242C22×C4—591no—
1243C22×C4—591no—
1244C22×C4—591no—
1245C22×C4—591no—
1246C22×C4—591no—
1247C22×C4—591no—
1248C22×C4—591no—
1249C22×C4—591no—
1250C22×C4—591no—
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—1182no—
1260C22×C4—1182no—
1261C22×C4—1182no—
1262C22×C4—2361no—
1263C22×C4—2361no—
1264C22×C4—2361no—
1265C22×C4—2361no—
1266C22×C4—2361no—
1267C22×C4—2361no—
1268C22×C4#1174568514yes—
1269C22×C4C23×D5911yescharacteristic
1270C22×C4C23×D5911yescharacteristic
1271C22×C4C23×D5911yescharacteristic
1272C22×C4C23×D5911yescharacteristic
1273C22×C4C23×D5911yescharacteristic
1274C22×C4C23×D5911yescharacteristic
1275C22×C4C23×D5911yescharacteristic
1276C22×C4C23×D5911yescharacteristic
1277C22×C4C23×D5911yescharacteristic
1278C22×C4C23×D5911yescharacteristic
1279C22×C4C23×D5911yescharacteristic
1280C22×C4C23×D5911yescharacteristic
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—1182no—
1286C4⋊C4—1182no—
1287C4⋊C4—1182no—
1288C4⋊C4—1182no—
1289C4⋊C4—1182no—
1290C4⋊C4—1182no—
1291C4⋊C4—1182no—
1292C4⋊C4—1182no—
1293C4⋊C4—1182no—
1294C4⋊C4—1182no—
1295C4⋊C4—1182no—
1296C4⋊C4—1182no—
1297C4⋊C4—2361no—
1298C4⋊C4—2361no—
1299C4⋊C4—2361no—
1300C4⋊C4—2361no—
1301C4⋊C4—2361no—
1302C4⋊C4—2361no—
1303C4⋊C4—2361no—
1304C4⋊C4—2361no—
1305C4⋊C4—2361no—
1306C4⋊C4—2361no—
1307C4⋊C4—2361no—
1308C4⋊C4—2361no—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—1182no—
1326C22⋊C4—1182no—
1327C22⋊C4—1182no—
1328C22⋊C4—1182no—
1329C22⋊C4—1182no—
1330C22⋊C4—1182no—
1331C22⋊C4—1182no—
1332C22⋊C4—1182no—
1333C22⋊C4—1182no—
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—2361no—
1344C22⋊C4—2361no—
1345C22⋊C4—2361no—
1346C22⋊C4—2361no—
1347C22⋊C4—2361no—
1348C22⋊C4—2361no—
1349C22⋊C4—2361no—
1350C22⋊C4—2361no—
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—2361no—
1367C42—41no—
1368C42—41no—
1369C42—41no—
1370C42—41no—
1371C42—1182no—
1372C42—1182no—
1373C42—1182no—
1374C42—1182no—
1375C42—1182no—
1376C42—1182no—
1377C42—1182no—
1378C42—1182no—
1379C42—2361no—
1380C42—2361no—
1381C42—2361no—
1382C42—2361no—
1383C42—2361no—
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—44no—
1403C23—44no—
1404C23—44no—
1405C23—82no—
1406C23—82no—
1407C23—82no—
1408C23—82no—
1409C23—592no—
1410C23—1181no—
1411C23—1181no—
1412C23—1181no—
1413C23—1181no—
1414C23—1181no—
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—1181no—
1429C23—1181no—
1430C23—4722no—
1431C23—4722no—
1432C23—4722no—
1433C23—4722no—
1434C23—2364no—
1435C23—2364no—
1436C23—2364no—
1437C23#41×D5912yes—
1438C23#41×D5912yes—
1439C23C2×#1174568512yes—
1440C23C24×D5911yescharacteristic
1441Q8—2364no—
1442D4—1188no—
1443D4—4722no—
1444D4—4722no—
1445D4—4722no—
1446D4—4722no—
1447D4—2364no—
1448D4—2364no—
1449D4—2364no—
1450D4—2364no—
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—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—44no—
1486C2×C4—82no—
1487C2×C4—592no—
1488C2×C4—592no—
1489C2×C4—592no—
1490C2×C4—592no—
1491C2×C4—592no—
1492C2×C4—592no—
1493C2×C4—1188no—
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—1181no—
1519C2×C4—1181no—
1520C2×C4—1181no—
1521C2×C4—1181no—
1522C2×C4—1181no—
1523C2×C4—1181no—
1524C2×C4—1181no—
1525C2×C4—1181no—
1526C2×C4—1181no—
1527C2×C4—4722no—
1528C2×C4—2364no—
1529C2×C4—2364no—
1530C2×C4—2364no—
1531C2×C4—2364no—
1532C2×C4C2×#1174568512yes—
1533C2×C4C2×#1174568512yes—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—41no—
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—88no—
1555C22—1182no—
1556C22—1182no—
1557C22—1182no—
1558C22—4728no—
1559C22—2361no—
1560C22—2361no—
1561C22—2361no—
1562C22—2361no—
1563C22—2361no—
1564C22—2361no—
1565C22—2361no—
1566C22—2361no—
1567C22—2361no—
1568C22—2361no—
1569C22—2361no—
1570C22—2361no—
1571C22—2361no—
1572C22—2361no—
1573C22—2361no—
1574C22—2361no—
1575C22—2361no—
1576C22—2361no—
1577C22#1683793014yes—
1578C22C2×#41×D5911yescharacteristic
1579C22C2×#41×D5911yescharacteristic
1580C22C22×#1174568511yescharacteristic
1581C22H(5,𝔽2)×D5911yescharacteristic
1582C22H(5,𝔽2)×D5911yescharacteristic
1583C22H(5,𝔽2)×D5911yescharacteristic
1584C22#1683823711yescharacteristic
1585C4—22no—
1586C4—22no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—594no—
1598C4—1182no—
1599C4—1182no—
1600C4—1182no—
1601C4—2361no—
1602C4—2361no—
1603C4—2361no—
1604C4—2361no—
1605C4—2361no—
1606C4—2361no—
1607C4—2361no—
1608C4—2361no—
1609C4—2361no—
1610C2—24no—
1611C2—81no—
1612C2—81no—
1613C2—4721no—
1614C2—4721no—
1615C2—2362no—
1616C2C2×#1683793011yescharacteristic
1617C2#538×D5911yescharacteristic
1618C2#2143751511yescharacteristic
1619C2#2143792611yescharacteristic
1620C2#2143796711yescharacteristic
1621C2#2143804911yescharacteristic
1622C2#2143812011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2312C2
prime radical#21427451C2
hypercenter#2312D59
hypocenterC59#35025
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2312

Complements

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

NH ≅ G/Ntype
1. #21432465C2semidirect
2. #21432462C2semidirect
3. #21432423C2semidirect
4. #21432394C2semidirect
5. #21430127C2semidirect
6. #21430125C2semidirect
7. #21430082C2semidirect
8. #21430080C2semidirect
9. #21429591C2semidirect
10. #21429589C2semidirect
11. #21429163C2semidirect
12. #21429155C2semidirect
13. #21428692C2semidirect
14. #21428447C2semidirect
15. #21428347C2semidirect
16. #21428339C2semidirect
17. #21427893C2semidirect
18. #21427817C2semidirect
19. #21427745C2semidirect
20. #21427661C2semidirect
21. #21427564C2semidirect
22. #21427562C2semidirect
23. #21427546C2semidirect
25. #21426756C2semidirect
26. #21426754C2semidirect
27. #21426691C2semidirect
28. C4×#14273704C2semidirect
29. C2×#16837302C2semidirect
30. C4×(C22⋊D59)⋊C4C2semidirect
31. C59×#2312C2semidirect
33. C2×#14273722C22semidirect
34. C2×#14273720C22semidirect
35. C2×#14273717C22semidirect
38. C2×#14273712C22semidirect
39. C2×#14273709C22semidirect
40. C2×#14273705C22semidirect
46. C2×C4×Dic118C22semidirect
55. C2×C42×D59C22semidirect
56. #16837343C22semidirect
57. #16837340C22semidirect
58. #16837338C22semidirect
59. #16837337C22semidirect
60. #16837336C22semidirect
61. #16837336C22semidirect
62. #16837333C22semidirect
63. #16837332C22semidirect
64. #16837331C22semidirect
65. #16837331C22semidirect
66. #16837330C22semidirect
67. #16837330C22semidirect
68. #16837330C22semidirect
69. #16837329C22semidirect
70. #16837328C22semidirect
71. #16837327C22semidirect
72. #16837326C22semidirect
73. #16837325C22semidirect
74. #16837324C22semidirect
75. #16837324C22semidirect
76. #16837320C22semidirect
77. #16837319C22semidirect
80. #16837318C22semidirect
85. #16837317C22semidirect
88. #16837306C22semidirect
89. #16837306C22semidirect
90. #16837304C22semidirect
91. #16837304C22semidirect
104. #16837302C22semidirect
105. #16837302C22semidirect
106. #16837299C22semidirect
107. #16837299C22semidirect
108. #16837297C22semidirect
109. #16837297C22semidirect
110. #16837296C22semidirect
111. #16837296C22semidirect
112. #16837296C22semidirect
113. #16837296C22semidirect
114. #16837295C22semidirect
115. #16837295C22semidirect
116. #16837294C22semidirect
117. #16837294C22semidirect
118. #16837294C22semidirect
119. #16837293C22semidirect
120. #16837293C22semidirect
121. #16837293C22semidirect
122. #16837293C22semidirect
123. #16837293C22semidirect
124. #16837293C22semidirect
125. #16837292C22semidirect
126. #16837292C22semidirect
127. #16837291C22semidirect
128. #16837291C22semidirect
129. #16837291C22semidirect
130. #16837291C22semidirect
131. #16837291C22semidirect
132. #16837291C22semidirect
133. #16837290C22semidirect
134. #16837290C22semidirect
135. #16837290C22semidirect
136. #16837289C22semidirect
137. #16837285C22semidirect
139. #16837280C22semidirect
140. #16837280C22semidirect
141. #16837280C22semidirect
143. #16837278C22semidirect
144. #16837278C22semidirect
145. #16837278C22semidirect
150. #16837266C22semidirect
151. #16837261C22semidirect
159. C4×Dic59⋊C4C22semidirect
160. C4×Dic59⋊C4C22semidirect
161. C4×Dic59⋊C4C22semidirect
162. C4×C4⋊Dic59C22semidirect
163. #16837253C22semidirect
164. #16837253C22semidirect
167. C4×(C2×D59)⋊C4C22semidirect
169. #16837249C22semidirect
170. #16837249C22semidirect
171. C42×Dic59C22semidirect
173. C59×#388C22semidirect
174. C59×#388C22semidirect
175. C59×#388C22semidirect
176. C59×#388C22semidirect
177. C59×#388C22semidirect
178. C59×#388C22semidirect
179. C59×#388C22semidirect
180. C59×#388C22semidirect
826. #2312D59semidirect
948. #388C2×D59semidirect
949. #388C2×D59semidirect
950. #388C2×D59semidirect
951. #388C2×D59semidirect
952. #388C2×D59semidirect
953. #388C2×D59semidirect
954. #388C2×D59semidirect
955. #388C2×D59semidirect
998. C59#35025semidirect

Maximal subgroups

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

subgroupindex
#214324652
#214324622
#214324232
#214323942
#214301272
#214301252
#214300822
#214300802
#214295912
#214295892
#214291632
#214291552
#214286922
#214284472
#214283472
#214283392
#214278932
#214278172
#214277452
#214276612
#214275642
#214275622
#214275462
#214274512
#214267562
#214267542
#214266912
C4×#142737042
C2×#168373022
C4×(C22⋊D59)⋊C42
C59×#23122
#3502559