Finite Group Databasebeta

← #28761976

Subgroups — #28761976

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#21432424C211yesmaximal, characteristic, complemented
4#21432393C211yesmaximal, characteristic, complemented
5#21430135C211yesmaximal, characteristic, complemented
6#21430133C211yesmaximal, characteristic, complemented
7#21430078C211yesmaximal, characteristic, complemented
8#21429593C211yesmaximal, characteristic, complemented
9#21429588C211yesmaximal, characteristic, complemented
10#21429157C211yesmaximal, characteristic, complemented
11#21429149C211yesmaximal, characteristic, complemented
12#21428686C211yesmaximal, characteristic, complemented
13#21428441C211yesmaximal, characteristic, complemented
14#21428343C211yesmaximal, characteristic, complemented
15#21428335C211yesmaximal, characteristic, complemented
16#21427887C211yesmaximal, characteristic, complemented
17#21427813C211yesmaximal, characteristic, complemented
18#21427742C211yesmaximal, characteristic, complemented
19#21427655C211yesmaximal, characteristic, complemented
20#21427553C211yesmaximal, characteristic, complemented
21#21427551C211yesmaximal, characteristic, complemented
22#21427540C211yesmaximal, characteristic, complemented
23#21427445C211yesmaximal, characteristic
24#21426752C211yesmaximal, characteristic, complemented
25#21426752C211yesmaximal, characteristic, complemented
26#21426690C211yesmaximal, characteristic, complemented
27#21426690C211yesmaximal, characteristic, complemented
28#21426630C211yesmaximal, characteristic, complemented
29#390×D59C211yesmaximal, characteristic, complemented
30C4×(C22⋊D59)⋊C4C211yesmaximal, characteristic, complemented
31C59×#2648C211yesmaximal, characteristic, complemented
32C22×D4×D59C2211yescharacteristic
33C2×#14273722C2211yescharacteristic, complemented
34C2×#14273720C2211yescharacteristic, complemented
35C2×#14273717C2211yescharacteristic, complemented
36C2×#14273713C2211yescharacteristic
37C2×#14273713C2211yescharacteristic
38C2×#14273711C2211yescharacteristic, complemented
39C2×#14273708C2211yescharacteristic, complemented
40C2×#14273705C2211yescharacteristic
41C2×#14273704C2211yescharacteristic, complemented
42C2×#14273699C2211yescharacteristic
43C2×#14273699C2211yescharacteristic
44C2×#14273695C2211yescharacteristic
45C2×#14273695C2211yescharacteristic
46C2×#14273692C2211yescharacteristic, complemented
47C2×C4×C22⋊D59C2211yescharacteristic
48C2×(C22⋊D59)⋊C4C2211yescharacteristic
49C2×(C22⋊D59)⋊C4C2211yescharacteristic
50C2×C4⋊C4×D59C2211yescharacteristic
51C2×C22⋊C4×D59C2211yescharacteristic
52C2×C22⋊C4×D59C2211yescharacteristic
53C2×C22⋊C4×D59C2211yescharacteristic
54C2×C22⋊C4×D59C2211yescharacteristic
55C22×C4×Dic59C2211yescharacteristic, complemented
56C2×C42×D59C2211yescharacteristic
57#16837344C2211yescharacteristic, complemented
58#16837338C2211yescharacteristic, complemented
59#16837337C2211yescharacteristic, complemented
60#16837335C2211yescharacteristic, complemented
61#16837335C2211yescharacteristic, complemented
62#16837334C2211yescharacteristic, complemented
63#16837332C2211yescharacteristic, complemented
64#16837331C2211yescharacteristic, complemented
65#16837331C2211yescharacteristic, complemented
66#16837331C2211yescharacteristic, complemented
67#16837330C2211yescharacteristic, complemented
68#16837330C2211yescharacteristic, complemented
69#16837329C2211yescharacteristic, complemented
70#16837325C2211yescharacteristic, complemented
71#16837325C2211yescharacteristic, complemented
72#16837324C2211yescharacteristic, complemented
73#16837320C2211yescharacteristic
74#16837320C2211yescharacteristic
75#16837319C2211yescharacteristic
76#16837317C2211yescharacteristic, complemented
77#16837317C2211yescharacteristic, complemented
78#16837316C2211yescharacteristic
79#16837316C2211yescharacteristic
80#16837311C2211yescharacteristic
81#16837306C2211yescharacteristic, complemented
82#16837306C2211yescharacteristic, complemented
83#16837305C2211yescharacteristic
84#16837305C2211yescharacteristic, complemented
85#16837305C2211yescharacteristic, complemented
86#16837304C2211yescharacteristic
87#16837303C2211yescharacteristic
88#16837302C2211yescharacteristic
89#16837302C2211yescharacteristic
90#16837302C2211yescharacteristic
91#16837302C2211yescharacteristic
92#16837302C2211yescharacteristic
93#16837302C2211yescharacteristic
94#16837302C2211yescharacteristic
95#16837302C2211yescharacteristic
96#16837302C2211yescharacteristic, complemented
97#16837302C2211yescharacteristic, complemented
98#16837299C2211yescharacteristic, complemented
99#16837299C2211yescharacteristic, complemented
100#16837299C2211yescharacteristic, complemented
101#16837297C2211yescharacteristic, complemented
102#16837296C2211yescharacteristic, complemented
103#16837296C2211yescharacteristic, complemented
104#16837296C2211yescharacteristic, complemented
105#16837295C2211yescharacteristic, complemented
106#16837295C2211yescharacteristic, complemented
107#16837295C2211yescharacteristic, complemented
108#16837295C2211yescharacteristic, complemented
109#16837295C2211yescharacteristic, complemented
110#16837294C2211yescharacteristic, complemented
111#16837294C2211yescharacteristic, complemented
112#16837294C2211yescharacteristic, complemented
113#16837294C2211yescharacteristic, complemented
114#16837294C2211yescharacteristic, complemented
115#16837293C2211yescharacteristic, complemented
116#16837293C2211yescharacteristic, complemented
117#16837292C2211yescharacteristic, complemented
118#16837292C2211yescharacteristic, complemented
119#16837292C2211yescharacteristic, complemented
120#16837291C2211yescharacteristic, complemented
121#16837291C2211yescharacteristic, complemented
122#16837291C2211yescharacteristic, complemented
123#16837291C2211yescharacteristic, complemented
124#16837291C2211yescharacteristic, complemented
125#16837291C2211yescharacteristic, complemented
126#16837291C2211yescharacteristic, complemented
127#16837290C2211yescharacteristic, complemented
128#16837290C2211yescharacteristic, complemented
129#16837290C2211yescharacteristic, complemented
130#16837290C2211yescharacteristic, complemented
131#16837290C2211yescharacteristic, complemented
132#16837290C2211yescharacteristic, complemented
133#16837290C2211yescharacteristic, complemented
134#16837286C2211yescharacteristic, complemented
135#16837282C2211yescharacteristic, complemented
136#16837281C2211yescharacteristic, complemented
137#16837281C2211yescharacteristic, complemented
138#16837279C2211yescharacteristic, complemented
139#16837278C2211yescharacteristic
140#16837278C2211yescharacteristic
141#16837276C2211yescharacteristic
142#16837276C2211yescharacteristic
143#16837276C2211yescharacteristic
144#16837273C2211yescharacteristic
145#16837266C2211yescharacteristic, complemented
146#16837261C2211yescharacteristic
147#16837261C2211yescharacteristic
148#16837261C2211yescharacteristic
149#16837260C2211yescharacteristic, complemented
150#16837259C2211yescharacteristic
151#16837259C2211yescharacteristic
152#16837257C2211yescharacteristic
153#16837257C2211yescharacteristic
154#16837257C2211yescharacteristic
155#16837257C2211yescharacteristic
156#16837257C2211yescharacteristic
157#16837257C2211yescharacteristic
158C4⋊C4×Dic59C2211yescharacteristic, complemented
159C4×Dic59⋊C4C2211yescharacteristic, complemented
160#16837253C2211yescharacteristic, complemented
161#16837253C2211yescharacteristic, complemented
162#16837253C2211yescharacteristic, complemented
163#16837253C2211yescharacteristic, complemented
164C22⋊C4×Dic59C2211yescharacteristic, complemented
165C22⋊C4×Dic59C2211yescharacteristic, complemented
166C4×(C2×D59)⋊C4C2211yescharacteristic
167#16837249C2211yescharacteristic
168#16837249C2211yescharacteristic
169#16837249C2211yescharacteristic
170#16837249C2211yescharacteristic
171C42×Dic59C2211yescharacteristic, complemented
172C59×#400C2211yescharacteristic, complemented
173C59×#397C2211yescharacteristic, complemented
174C59×#397C2211yescharacteristic, complemented
175C59×#396C2211yescharacteristic, complemented
176C59×#394C2211yescharacteristic
177C59×#394C2211yescharacteristic, complemented
178C59×#394C2211yescharacteristic, complemented
179C59×#392C2211yescharacteristic
180C59×#390C2211yescharacteristic
181C59×#388C2211yescharacteristic, complemented
182C59×#388C2211yescharacteristic, complemented
183C59×#387C2211yescharacteristic, complemented
184C59×#386C2211yescharacteristic, complemented
185C59×#386C2211yescharacteristic, complemented
186C4×C22⋊C4×C59C2211yescharacteristic, complemented
187C24×D59C2311yescharacteristic
188C24×D59C2311yescharacteristic
189C22×Dic118C2311yescharacteristic
190C22×D236C2311yescharacteristic
191C22×C22⋊D59C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C2×D4×D59—24no—
197C2×D4×D59—42no—
198C2×D4×D59—42no—
199C23×Dic59C2311yescharacteristic
200C23×Dic59C2311yescharacteristic
201C22×C4×D59C2311yescharacteristic
202C22×C4×D59C2311yescharacteristic
203C22×C4×D59C2311yescharacteristic
204C22×C4×D59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206#14273722—42no—
207#14273720—42no—
208#14273717—42no—
209#14273713—42no—
210#14273713—42no—
211#14273711—42no—
212#14273708—42no—
213#14273705—24no—
214#14273704—42no—
215#14273699—42no—
216#14273699—42no—
217#14273695—24no—
218#14273695—24no—
219#14273692—42no—
220C4×C22⋊D59—24no—
221(C22⋊D59)⋊C4—24no—
222(C22⋊D59)⋊C4—24no—
223C2×C4⋊Dic59C2311yescharacteristic
224C2×C4⋊Dic59C2311yescharacteristic
225C2×C4⋊Dic59C2311yescharacteristic
226C2×C4⋊Dic59C2311yescharacteristic
227C2×C4⋊Dic59C2311yescharacteristic
228C2×C4⋊Dic59C2311yescharacteristic
229C2×Dic59⋊C4C2311yescharacteristic
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
246C4⋊C4×D59—42no—
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×(C2×D59)⋊C4C2311yescharacteristic
263C2×(C2×D59)⋊C4C2311yescharacteristic
264C2×(C2×D59)⋊C4C2311yescharacteristic
265C2×(C2×D59)⋊C4C2311yescharacteristic
266C2×(C2×D59)⋊C4C2311yescharacteristic
267C2×(C2×D59)⋊C4C2311yescharacteristic
268C2×(C2×D59)⋊C4C2311yescharacteristic
269C2×(C2×D59)⋊C4C2311yescharacteristic
270C2×(C2×D59)⋊C4C2311yescharacteristic
271C2×(C2×D59)⋊C4C2311yescharacteristic
272C2×(C2×D59)⋊C4C2311yescharacteristic
273C2×(C2×D59)⋊C4C2311yescharacteristic
274C2×(C2×D59)⋊C4C2311yescharacteristic
275C2×(C2×D59)⋊C4C2311yescharacteristic
276C2×(C2×D59)⋊C4C2311yescharacteristic
277C2×(C2×D59)⋊C4C2311yescharacteristic
278C2×(C2×D59)⋊C4C2311yescharacteristic
279C2×(C2×D59)⋊C4C2311yescharacteristic
280C2×(C2×D59)⋊C4C2311yescharacteristic
281C2×(C2×D59)⋊C4C2311yescharacteristic
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×(C2×D59)⋊C4C2311yescharacteristic
284C2×(C2×D59)⋊C4C2311yescharacteristic
285C2×(C2×D59)⋊C4C2311yescharacteristic
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C2×(C2×D59)⋊C4C2311yescharacteristic
288C2×(C2×D59)⋊C4C2311yescharacteristic
289C2×(C2×D59)⋊C4C2311yescharacteristic
290C2×(C2×D59)⋊C4C2311yescharacteristic
291C22⋊C4×D59—24no—
292C22⋊C4×D59—24no—
293C22⋊C4×D59—42no—
294C22⋊C4×D59—42no—
295C2×C4×Dic59—42no—
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
308C2×C4×Dic59C2311yescharacteristic
309C2×C4×Dic59C2311yescharacteristic
310C2×C4×Dic59C2311yescharacteristic
311C42×D59—42no—
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
333C59⋊#95C2311yescharacteristic
334C22×D4×C59C2311yescharacteristic
335C22×D4×C59C2311yescharacteristic
336C22×D4×C59C2311yescharacteristic
337C23×C4×C59C2311yescharacteristic
338C2×C4⋊C4×C59C2311yescharacteristic
339C2×C4⋊C4×C59C2311yescharacteristic
340C2×C4⋊C4×C59C2311yescharacteristic
341C2×C4⋊C4×C59C2311yescharacteristic
342C2×C4⋊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
359#95×C59C2311yescharacteristic
360#95×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×C59C2411yescharacteristic
370C24×C59C2411yescharacteristic
371C24×C59C2411yescharacteristic
372C23×D59—22no—
373C23×D59—22no—
374C23×D59—22no—
375C23×D59—22no—
376C23×D59—22no—
377C23×D59—22no—
378C23×D59—41no—
379C23×D59—41no—
380C23×D59—41no—
381C23×D59—41no—
382C23×D59—41no—
383C23×D59—41no—
384C23×D59—41no—
385C23×D59—41no—
386C23×D59C2411yescharacteristic
387C23×D59C2411yescharacteristic
388C23×D59C2411yescharacteristic
389C2×D4×C59—22no—
390C2×D4×C59—22no—
391C2×D4×C59—22no—
392C2×D4×C59—41no—
393C2×D4×C59—41no—
394C2×D4×C59—41no—
395C2×D4×C59—41no—
396C2×D4×C59—41no—
397C2×D4×C59—41no—
398C22×C4×C59—22no—
399C22×C4×C59—41no—
400C22×C4×C59—41no—
401C22×C4×C59C2411yescharacteristic
402C22×C4×C59C2411yescharacteristic
403C22×C4×C59C2411yescharacteristic
404C22×C4×C59C2411yescharacteristic
405C22×C4×C59C2411yescharacteristic
406C22×C4×C59C2411yescharacteristic
407C22×C4×C59C2411yescharacteristic
408C22×C4×C59C2411yescharacteristic
409C22×C4×C59C2411yescharacteristic
410C22×C4×C59C2411yescharacteristic
411C22×C4×C59C2411yescharacteristic
412C22×C4×C59C2411yescharacteristic
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—22no—
420C2×C22⋊D59—22no—
421C2×C22⋊D59—22no—
422C2×C22⋊D59—22no—
423C2×C22⋊D59—41no—
424C2×C22⋊D59—41no—
425C2×C22⋊D59—41no—
426C2×C22⋊D59—41no—
427C2×C22⋊D59#4114yes—
428C22×Dic59—22no—
429C22×Dic59—22no—
430C22×Dic59—22no—
431C22×Dic59—22no—
432C22×Dic59—22no—
433C22×Dic59—41no—
434C22×Dic59C2411yescharacteristic
435C22×Dic59C2411yescharacteristic
436C22×Dic59C2411yescharacteristic
437C22×Dic59C2411yescharacteristic
438C22×Dic59C2411yescharacteristic
439C22×Dic59C2411yescharacteristic
440C22×Dic59C2411yescharacteristic
441C22×Dic59C2411yescharacteristic
442C22×Dic59C2411yescharacteristic
443C22×Dic59C2411yescharacteristic
444C22×Dic59C2411yescharacteristic
445C22×Dic59C2411yescharacteristic
446C22×Dic59C2411yescharacteristic
447D4×D59—416no—
448C2×D236—22no—
449C2×D236—41no—
450C2×D236—41no—
451C2×C4×D59—22no—
452C2×C4×D59—22no—
453C2×C4×D59—22no—
454C2×C4×D59—22no—
455C2×C4×D59—22no—
456C2×C4×D59—22no—
457C2×C4×D59—41no—
458C2×C4×D59—41no—
459C2×C4×D59—41no—
460C2×C4×D59—41no—
461C2×C4×D59—41no—
462C2×C4×D59—41no—
463C2×C4×D59—41no—
464C2×C4×D59#4114yes—
465C2×C4×D59#4114yes—
466C2×Dic118—22no—
467C2×Dic118—22no—
468C2×Dic118—22no—
469C4⋊C4×C59—22no—
470C4⋊C4×C59—41no—
471C4⋊C4×C59—41no—
472C4⋊C4×C59—41no—
473C4⋊C4×C59—41no—
474C22⋊C4×C59—22no—
475C22⋊C4×C59—22no—
476C22⋊C4×C59—22no—
477C22⋊C4×C59—22no—
478C22⋊C4×C59—41no—
479C22⋊C4×C59—41no—
480C22⋊C4×C59—41no—
481C22⋊C4×C59—41no—
482C22⋊C4×C59—41no—
483C22⋊C4×C59—41no—
484C22⋊C4×C59—41no—
485C22⋊C4×C59—41no—
486C22⋊C4×C59—41no—
487C22⋊C4×C59—41no—
488C42×C59—41no—
489C42×C59—41no—
490C22⋊Dic59—22no—
491C22⋊Dic59—22no—
492C22⋊Dic59—22no—
493C22⋊Dic59—22no—
494C22⋊Dic59—22no—
495C22⋊Dic59—22no—
496C22⋊Dic59—22no—
497C22⋊Dic59—41no—
498C22⋊Dic59—41no—
499C22⋊Dic59—41no—
500C22⋊Dic59—41no—
501C22⋊Dic59—41no—
502C22⋊Dic59—41no—
503C22⋊Dic59—41no—
504C22⋊Dic59—41no—
505(C2×D59)⋊C4—22no—
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—22no—
518(C2×D59)⋊C4—22no—
519(C2×D59)⋊C4—22no—
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—
534C4⋊Dic59—22no—
535C4⋊Dic59—41no—
536C4⋊Dic59—41no—
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—
557C4×Dic59—22no—
558C4×Dic59—22no—
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×C59C2×#4112yes—
593C23×C59C2511yescharacteristic
594C22×D59—21no—
595C22×D59—21no—
596C22×D59—21no—
597C22×D59—21no—
598C22×D59—21no—
599C22×D59—21no—
600C22×D59—21no—
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—44no—
613C22×D59—44no—
614C22×D59—44no—
615C22×D59—44no—
616C22×D59—44no—
617C22×D59—44no—
618C22×D59—82no—
619C22×D59—82no—
620C22×D59—82no—
621C22×D59—82no—
622C22×D59—82no—
623C22×D59—82no—
624C22×D59—82no—
625C22×D59—82no—
626C22×D59C2×#4112yes—
627C22×D59C2×#4112yes—
628C22×D59C2×#4112yes—
629D4×C59—44no—
630D4×C59—82no—
631D4×C59—82no—
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—21no—
664C2×C4×C59—21no—
665C2×C4×C59—21no—
666C2×C4×C59—44no—
667C2×C4×C59C2×#4112yes—
668C2×C4×C59C2×#4112yes—
669C22⋊D59—28no—
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—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—21no—
703C2×Dic59—21no—
704C2×Dic59—21no—
705C2×Dic59—21no—
706C2×Dic59—21no—
707C2×Dic59—44no—
708C2×Dic59—44no—
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—28no—
717C4×D59—44no—
718C4×D59—44no—
719C4×D59—82no—
720C4×D59—82no—
721Dic118—44no—
722#35025—591nomaximal, Sylow
723C22×C59—22no—
724C22×C59—22no—
725C22×C59—22no—
726C22×C59—41no—
727C22×C59—41no—
728C22×C59—41no—
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—41no—
744C22×C59C22×#4111yescharacteristic
745C22×C59C22×#4111yescharacteristic
746C22×C59C22×#4111yescharacteristic
747C22×C59C2×H(5,𝔽2)11yescharacteristic
748C22×C59C2×H(5,𝔽2)11yescharacteristic
749C22×C59C2×H(5,𝔽2)11yescharacteristic
750C22×C59#58511yescharacteristic
751C2×D59—22no—
752C2×D59—22no—
753C2×D59—22no—
754C2×D59—22no—
755C2×D59—22no—
756C2×D59—22no—
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—88no—
772C2×D59—88no—
773C2×D59#52914yes—
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#2648D5911yescharacteristic, complemented
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#2312—591no—
827C4×C22⋊Q8—591no—
828C2×#390—591no—
829C42×D4—591no—
830C2×C59—42no—
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—24no—
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⋊C4—591no—
866C22×C42—591no—
867C22×C42—591no—
868#400—591no—
869#400C2×D5911yescharacteristic, complemented
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#397C2×D5911yescharacteristic, complemented
883#397C2×D5911yescharacteristic, complemented
884#396—591no—
885#396—591no—
886#396—591no—
887#396C2×D5911yescharacteristic, complemented
888#394—591no—
889#394—591no—
890#394—591no—
891#394—591no—
892#394—591no—
893#394—591no—
894#394—591no—
895#394C2×D5911yescharacteristic
896#394C2×D5911yescharacteristic, complemented
897#394C2×D5911yescharacteristic, complemented
898#392—591no—
899#392C2×D5911yescharacteristic
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#390C2×D5911yescharacteristic
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#388—591no—
949#388—591no—
950#388—591no—
951#388—591no—
952#388—591no—
953#388—591no—
954#388C2×D5911yescharacteristic, complemented
955#388C2×D5911yescharacteristic, complemented
956#387—591no—
957#387C2×D5911yescharacteristic, complemented
958#386—591no—
959#386—591no—
960#386—591no—
961#386—591no—
962#386—591no—
963#386—591no—
964#386C2×D5911yescharacteristic, complemented
965#386C2×D5911yescharacteristic, complemented
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#380—591no—
976#380—591no—
977#379—591no—
978#379—591no—
979#379—591no—
980#379—591no—
981#379—591no—
982#379—591no—
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⋊C4—591no—
996C4×C22⋊C4C2×D5911yescharacteristic, complemented
997C43—591no—
998C59#3502511yescharacteristic, complemented, Sylow
999C25—591no—
1000C25—591no—
1001C22×Q8—591no—
1002C22×D4—591no—
1003C22×D4—591no—
1004C22×D4—591no—
1005C22×D4—591no—
1006C22×D4—591no—
1007C22×D4—591no—
1008C22×D4—1184no—
1009C22×D4—2362no—
1010C22×D4—2362no—
1011C22×D4C22×D5911yescharacteristic
1012C22×D4C22×D5911yescharacteristic
1013C22×D4C22×D5911yescharacteristic
1014C23×C4—591no—
1015C23×C4—591no—
1016C23×C4—591no—
1017C23×C4—591no—
1018C23×C4—591no—
1019C23×C4—591no—
1020C23×C4—591no—
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—2362no—
1063C2×C4⋊C4C22×D5911yescharacteristic
1064C2×C4⋊C4C22×D5911yescharacteristic
1065C2×C4⋊C4C22×D5911yescharacteristic
1066C2×C4⋊C4C22×D5911yescharacteristic
1067C2×C4⋊C4C22×D5911yescharacteristic
1068C2×C22⋊C4—591no—
1069C2×C22⋊C4—591no—
1070C2×C22⋊C4—591no—
1071C2×C22⋊C4—591no—
1072C2×C22⋊C4—591no—
1073C2×C22⋊C4—591no—
1074C2×C22⋊C4—591no—
1075C2×C22⋊C4—591no—
1076C2×C22⋊C4—591no—
1077C2×C22⋊C4—591no—
1078C2×C22⋊C4—591no—
1079C2×C22⋊C4—591no—
1080C2×C22⋊C4—591no—
1081C2×C22⋊C4—591no—
1082C2×C22⋊C4—591no—
1083C2×C22⋊C4—591no—
1084C2×C22⋊C4—591no—
1085C2×C22⋊C4—591no—
1086C2×C22⋊C4—591no—
1087C2×C22⋊C4—591no—
1088C2×C22⋊C4—591no—
1089C2×C22⋊C4—591no—
1090C2×C22⋊C4—591no—
1091C2×C22⋊C4—591no—
1092C2×C22⋊C4—591no—
1093C2×C22⋊C4—591no—
1094C2×C22⋊C4—591no—
1095C2×C22⋊C4—591no—
1096C2×C22⋊C4—591no—
1097C2×C22⋊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—1184no—
1113C2×C22⋊C4—1184no—
1114C2×C22⋊C4—2362no—
1115C2×C22⋊C4—2362no—
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—591no—
1144C2×C42—591no—
1145C2×C42—2362no—
1146C2×C42—2362no—
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#95C22×D5911yescharacteristic
1172#95C22×D5911yescharacteristic
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—591no—
1182C24—591no—
1183C24—591no—
1184C24—1182no—
1185C24—1182no—
1186C24—1182no—
1187C24—1182no—
1188C24—1182no—
1189C24—1182no—
1190C24—2361no—
1191C24—2361no—
1192C24—2361no—
1193C24—2361no—
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—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—594no—
1214C2×D4—1182no—
1215C2×D4—1182no—
1216C2×D4—1182no—
1217C2×D4—1182no—
1218C2×D4—1182no—
1219C2×D4—1182no—
1220C2×D4—1182no—
1221C2×D4—1182no—
1222C2×D4—1182no—
1223C2×D4—1182no—
1224C2×D4—1182no—
1225C2×D4—2361no—
1226C2×D4—2361no—
1227C2×D4—23616no—
1228C2×D4—2361no—
1229C2×D4—2361no—
1230C2×D4—2361no—
1231C2×D4—2361no—
1232C22×C4—22no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—591no—
1236C22×C4—591no—
1237C22×C4—591no—
1238C22×C4—591no—
1239C22×C4—594no—
1240C22×C4—594no—
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—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—1182no—
1260C22×C4—1182no—
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×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—22no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
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—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—1182no—
1324C22⋊C4—1182no—
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—1182no—
1344C22⋊C4—1182no—
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—1182no—
1370C42—1182no—
1371C42—1182no—
1372C42—1182no—
1373C42—1182no—
1374C42—1182no—
1375C42—1182no—
1376C42—1182no—
1377C42—2361no—
1378C42—2361no—
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—21no—
1403C23—21no—
1404C23—592no—
1405C23—592no—
1406C23—592no—
1407C23—1181no—
1408C23—1181no—
1409C23—1181no—
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—4722no—
1426C23—4722no—
1427C23—4722no—
1428C23—4722no—
1429C23—4722no—
1430C23—4722no—
1431C23—4722no—
1432C23—4722no—
1433C23—2364no—
1434C23—2364no—
1435C23—2364no—
1436C23—2364no—
1437C23—2364no—
1438C23—2364no—
1439C23#41×D5912yes—
1440C23C24×D5911yescharacteristic
1441Q8—2364no—
1442D4—44no—
1443D4—82no—
1444D4—82no—
1445D4—1188no—
1446D4—4722no—
1447D4—4722no—
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—592no—
1487C2×C4—592no—
1488C2×C4—592no—
1489C2×C4—592no—
1490C2×C4—592no—
1491C2×C4—592no—
1492C2×C4—1188no—
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—1181no—
1519C2×C4—1181no—
1520C2×C4—1181no—
1521C2×C4—1181no—
1522C2×C4—1181no—
1523C2×C4—1181no—
1524C2×C4—1181no—
1525C2×C4—1181no—
1526C2×C4—4722no—
1527C2×C4—4722no—
1528C2×C4—2364no—
1529C2×C4—2364no—
1530C2×C4—2364no—
1531C2×C4—2364no—
1532C2×C4#41×D5912yes—
1533C2×C4#41×D5912yes—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
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—41no—
1555C22—594no—
1556C22—1182no—
1557C22—1182no—
1558C22—1182no—
1559C22—1182no—
1560C22—1182no—
1561C22—1182no—
1562C22—4728no—
1563C22—4728no—
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—2361no—
1578C22C2×#41×D5911yescharacteristic
1579C22C2×#41×D5911yescharacteristic
1580C22C2×#41×D5911yescharacteristic
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—42no—
1611C2—81no—
1612C2—81no—
1613C2—1184no—
1614C2—4721no—
1615C2—4721no—
1616C2#529×D5911yescharacteristic
1617C2#538×D5911yescharacteristic
1618C2#2143751111yescharacteristic
1619C2#2143793411yescharacteristic
1620C2#2143796811yescharacteristic
1621C2#2143804911yescharacteristic
1622C2#2143812011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2648C2
prime radical#21427445C2
hypercenter#2648D59
hypocenterC59#35025
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2648

Complements

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

NH ≅ G/Ntype
1. #21432465C2semidirect
2. #21432462C2semidirect
3. #21432424C2semidirect
4. #21432393C2semidirect
5. #21430135C2semidirect
6. #21430133C2semidirect
7. #21430078C2semidirect
8. #21429593C2semidirect
9. #21429588C2semidirect
10. #21429157C2semidirect
11. #21429149C2semidirect
12. #21428686C2semidirect
13. #21428441C2semidirect
14. #21428343C2semidirect
15. #21428335C2semidirect
16. #21427887C2semidirect
17. #21427813C2semidirect
18. #21427742C2semidirect
19. #21427655C2semidirect
20. #21427553C2semidirect
21. #21427551C2semidirect
22. #21427540C2semidirect
24. #21426752C2semidirect
25. #21426752C2semidirect
26. #21426690C2semidirect
27. #21426690C2semidirect
28. #21426630C2semidirect
29. #390×D59C2semidirect
30. C4×(C22⋊D59)⋊C4C2semidirect
31. C59×#2648C2semidirect
33. C2×#14273722C22semidirect
34. C2×#14273720C22semidirect
35. C2×#14273717C22semidirect
38. C2×#14273711C22semidirect
39. C2×#14273708C22semidirect
41. C2×#14273704C22semidirect
46. C2×#14273692C22semidirect
55. C22×C4×Dic59C22semidirect
57. #16837344C22semidirect
58. #16837338C22semidirect
59. #16837337C22semidirect
60. #16837335C22semidirect
61. #16837335C22semidirect
62. #16837334C22semidirect
63. #16837332C22semidirect
64. #16837331C22semidirect
65. #16837331C22semidirect
66. #16837331C22semidirect
67. #16837330C22semidirect
68. #16837330C22semidirect
69. #16837329C22semidirect
70. #16837325C22semidirect
71. #16837325C22semidirect
72. #16837324C22semidirect
76. #16837317C22semidirect
77. #16837317C22semidirect
81. #16837306C22semidirect
82. #16837306C22semidirect
84. #16837305C22semidirect
85. #16837305C22semidirect
96. #16837302C22semidirect
97. #16837302C22semidirect
98. #16837299C22semidirect
99. #16837299C22semidirect
100. #16837299C22semidirect
101. #16837297C22semidirect
102. #16837296C22semidirect
103. #16837296C22semidirect
104. #16837296C22semidirect
105. #16837295C22semidirect
106. #16837295C22semidirect
107. #16837295C22semidirect
108. #16837295C22semidirect
109. #16837295C22semidirect
110. #16837294C22semidirect
111. #16837294C22semidirect
112. #16837294C22semidirect
113. #16837294C22semidirect
114. #16837294C22semidirect
115. #16837293C22semidirect
116. #16837293C22semidirect
117. #16837292C22semidirect
118. #16837292C22semidirect
119. #16837292C22semidirect
120. #16837291C22semidirect
121. #16837291C22semidirect
122. #16837291C22semidirect
123. #16837291C22semidirect
124. #16837291C22semidirect
125. #16837291C22semidirect
126. #16837291C22semidirect
127. #16837290C22semidirect
128. #16837290C22semidirect
129. #16837290C22semidirect
130. #16837290C22semidirect
131. #16837290C22semidirect
132. #16837290C22semidirect
133. #16837290C22semidirect
134. #16837286C22semidirect
135. #16837282C22semidirect
136. #16837281C22semidirect
137. #16837281C22semidirect
138. #16837279C22semidirect
145. #16837266C22semidirect
149. #16837260C22semidirect
158. C4⋊C4×Dic59C22semidirect
159. C4×Dic59⋊C4C22semidirect
160. #16837253C22semidirect
161. #16837253C22semidirect
162. #16837253C22semidirect
163. #16837253C22semidirect
164. C22⋊C4×Dic59C22semidirect
165. C22⋊C4×Dic59C22semidirect
171. C42×Dic59C22semidirect
172. C59×#400C22semidirect
173. C59×#397C22semidirect
174. C59×#397C22semidirect
175. C59×#396C22semidirect
177. C59×#394C22semidirect
178. C59×#394C22semidirect
181. C59×#388C22semidirect
182. C59×#388C22semidirect
183. C59×#387C22semidirect
184. C59×#386C22semidirect
185. C59×#386C22semidirect
186. C4×C22⋊C4×C59C22semidirect
806. #2648D59semidirect
869. #400C2×D59semidirect
882. #397C2×D59semidirect
883. #397C2×D59semidirect
887. #396C2×D59semidirect
896. #394C2×D59semidirect
897. #394C2×D59semidirect
954. #388C2×D59semidirect
955. #388C2×D59semidirect
957. #387C2×D59semidirect
964. #386C2×D59semidirect
965. #386C2×D59semidirect
996. C4×C22⋊C4C2×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
#214324242
#214323932
#214301352
#214301332
#214300782
#214295932
#214295882
#214291572
#214291492
#214286862
#214284412
#214283432
#214283352
#214278872
#214278132
#214277422
#214276552
#214275532
#214275512
#214275402
#214274452
#214267522
#214266902
#214266302
#390×D592
C4×(C22⋊D59)⋊C42
C59×#26482
#3502559