Finite Group Databasebeta

← #28761969

Subgroups — #28761969

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#21430132C211yesmaximal, characteristic, complemented
6#21430130C211yesmaximal, characteristic, complemented
7#21430083C211yesmaximal, characteristic, complemented
8#21430081C211yesmaximal, characteristic, complemented
9#21429587C211yesmaximal, characteristic, complemented
10#21429158C211yesmaximal, characteristic, complemented
11#21429150C211yesmaximal, characteristic, complemented
12#21428690C211yesmaximal, characteristic, complemented
13#21428447C211yesmaximal, characteristic, complemented
14#21428348C211yesmaximal, characteristic, complemented
15#21428340C211yesmaximal, characteristic, complemented
16#21427891C211yesmaximal, characteristic, complemented
17#21427813C211yesmaximal, characteristic, complemented
18#21427742C211yesmaximal, characteristic, complemented
19#21427661C211yesmaximal, characteristic, complemented
20#21427565C211yesmaximal, characteristic, complemented
21#21427563C211yesmaximal, characteristic, complemented
22#21427542C211yesmaximal, characteristic, complemented
23#21427447C211yesmaximal, characteristic
24#21426749C211yesmaximal, characteristic, complemented
25#21426749C211yesmaximal, characteristic, complemented
26#21426690C211yesmaximal, characteristic, complemented
27#21426690C211yesmaximal, characteristic, complemented
28C4×#14273705C211yesmaximal, characteristic, complemented
29#390×D59C211yesmaximal, characteristic, complemented
30C4×#14273689C211yesmaximal, characteristic, complemented
31C59×#2593C211yesmaximal, characteristic, complemented
32C22×D4×D59C2211yescharacteristic
33C2×#14273722C2211yescharacteristic, complemented
34C2×#14273720C2211yescharacteristic, complemented
35C2×#14273717C2211yescharacteristic, complemented
36C2×#14273713C2211yescharacteristic
37C2×#14273713C2211yescharacteristic
38C2×#14273712C2211yescharacteristic, complemented
39C2×#14273709C2211yescharacteristic, complemented
40C2×#14273705C2211yescharacteristic
41C2×#14273705C2211yescharacteristic, complemented
42C2×#14273700C2211yescharacteristic
43C2×#14273700C2211yescharacteristic
44C2×#14273697C2211yescharacteristic
45C2×#14273697C2211yescharacteristic
46C2×C4×Dic118C2211yescharacteristic, complemented
47C2×C4×D236C2211yescharacteristic
48C2×#14273689C2211yescharacteristic
49C2×#14273689C2211yescharacteristic
50C2×C4⋊C4×D59C2211yescharacteristic
51C2×C22⋊C4×D59C2211yescharacteristic
52C2×C22⋊C4×D59C2211yescharacteristic
53C2×C22⋊C4×D59C2211yescharacteristic
54C2×C22⋊C4×D59C2211yescharacteristic
55C2×C42×D59C2211yescharacteristic
56C2×C42×D59C2211yescharacteristic, complemented
57#16837344C2211yescharacteristic, complemented
58#16837339C2211yescharacteristic, complemented
59#16837338C2211yescharacteristic, complemented
60#16837335C2211yescharacteristic, complemented
61#16837335C2211yescharacteristic, complemented
62#16837334C2211yescharacteristic, complemented
63#16837331C2211yescharacteristic, complemented
64#16837331C2211yescharacteristic, complemented
65#16837330C2211yescharacteristic, complemented
66#16837329C2211yescharacteristic, complemented
67#16837329C2211yescharacteristic, complemented
68#16837327C2211yescharacteristic, complemented
69#16837327C2211yescharacteristic, complemented
70#16837327C2211yescharacteristic, complemented
71#16837325C2211yescharacteristic, complemented
72#16837324C2211yescharacteristic, complemented
73#16837324C2211yescharacteristic, complemented
74#16837324C2211yescharacteristic, complemented
75#16837320C2211yescharacteristic
76#16837320C2211yescharacteristic, complemented
77#16837319C2211yescharacteristic
78#16837319C2211yescharacteristic
79#16837319C2211yescharacteristic, complemented
80#16837318C2211yescharacteristic, complemented
81#16837317C2211yescharacteristic, complemented
82#16837316C2211yescharacteristic
83#16837312C2211yescharacteristic
84#16837310C2211yescharacteristic
85#16837306C2211yescharacteristic, complemented
86#16837306C2211yescharacteristic, complemented
87#16837305C2211yescharacteristic
88#16837304C2211yescharacteristic
89#16837304C2211yescharacteristic, complemented
90#16837304C2211yescharacteristic, complemented
91#16837303C2211yescharacteristic
92#16837302C2211yescharacteristic
93#16837302C2211yescharacteristic
94#16837302C2211yescharacteristic
95#16837302C2211yescharacteristic
96#16837302C2211yescharacteristic
97#16837302C2211yescharacteristic
98#16837302C2211yescharacteristic
99#16837302C2211yescharacteristic
100#16837302C2211yescharacteristic, complemented
101#16837302C2211yescharacteristic, complemented
102#16837299C2211yescharacteristic, complemented
103#16837299C2211yescharacteristic, complemented
104#16837299C2211yescharacteristic, complemented
105#16837297C2211yescharacteristic, complemented
106#16837296C2211yescharacteristic, complemented
107#16837296C2211yescharacteristic, complemented
108#16837295C2211yescharacteristic, complemented
109#16837295C2211yescharacteristic, complemented
110#16837295C2211yescharacteristic, complemented
111#16837295C2211yescharacteristic, complemented
112#16837294C2211yescharacteristic, complemented
113#16837294C2211yescharacteristic, complemented
114#16837294C2211yescharacteristic, complemented
115#16837293C2211yescharacteristic, complemented
116#16837293C2211yescharacteristic, complemented
117#16837293C2211yescharacteristic, complemented
118#16837293C2211yescharacteristic, complemented
119#16837293C2211yescharacteristic, complemented
120#16837293C2211yescharacteristic, complemented
121#16837292C2211yescharacteristic, complemented
122#16837292C2211yescharacteristic, complemented
123#16837292C2211yescharacteristic, complemented
124#16837292C2211yescharacteristic, complemented
125#16837291C2211yescharacteristic, complemented
126#16837291C2211yescharacteristic, complemented
127#16837291C2211yescharacteristic, complemented
128#16837291C2211yescharacteristic, complemented
129#16837290C2211yescharacteristic, complemented
130#16837290C2211yescharacteristic, complemented
131#16837290C2211yescharacteristic, complemented
132#16837288C2211yescharacteristic, complemented
133#16837284C2211yescharacteristic, complemented
134#16837280C2211yescharacteristic
135#16837280C2211yescharacteristic
136#16837280C2211yescharacteristic, complemented
137#16837280C2211yescharacteristic, complemented
138#16837280C2211yescharacteristic, complemented
139#16837278C2211yescharacteristic, complemented
140#16837278C2211yescharacteristic, complemented
141#16837278C2211yescharacteristic, complemented
142#16837276C2211yescharacteristic
143#16837276C2211yescharacteristic
144#16837276C2211yescharacteristic
145#16837273C2211yescharacteristic
146#16837266C2211yescharacteristic, complemented
147#16837261C2211yescharacteristic
148#16837261C2211yescharacteristic
149#16837261C2211yescharacteristic
150#16837261C2211yescharacteristic, complemented
151#16837259C2211yescharacteristic
152#16837259C2211yescharacteristic
153#16837257C2211yescharacteristic
154#16837257C2211yescharacteristic
155#16837257C2211yescharacteristic
156#16837257C2211yescharacteristic
157#16837257C2211yescharacteristic
158#16837257C2211yescharacteristic
159C4⋊C4×Dic59C2211yescharacteristic, complemented
160C4⋊C4×Dic59C2211yescharacteristic, complemented
161C4×Dic59⋊C4C2211yescharacteristic, complemented
162C4×Dic59⋊C4C2211yescharacteristic, complemented
163C4×(C2×D59)⋊C4C2211yescharacteristic
164C4×(C2×D59)⋊C4C2211yescharacteristic
165C4×(C2×D59)⋊C4C2211yescharacteristic
166C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
167#16837249C2211yescharacteristic
168#16837249C2211yescharacteristic
169#16837249C2211yescharacteristic, complemented
170#16837249C2211yescharacteristic, complemented
171C42×Dic59C2211yescharacteristic, complemented
172C59×#400C2211yescharacteristic, complemented
173C59×#398C2211yescharacteristic, complemented
174C59×#394C2211yescharacteristic
175C59×#394C2211yescharacteristic
176C59×#390C2211yescharacteristic
177C59×#388C2211yescharacteristic, complemented
178C59×#388C2211yescharacteristic, complemented
179C59×#388C2211yescharacteristic, complemented
180C59×#388C2211yescharacteristic, complemented
181C59×#388C2211yescharacteristic, complemented
182C59×#388C2211yescharacteristic, complemented
183C59×#388C2211yescharacteristic, complemented
184C59×#388C2211yescharacteristic, complemented
185C4×C4⋊C4×C59C2211yescharacteristic, complemented
186C4×C4⋊C4×C59C2211yescharacteristic, complemented
187C24×D59C2311yescharacteristic
188C24×D59C2311yescharacteristic
189C22×Dic118C2311yescharacteristic
190C22×D236C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C2×D4×D59—24no—
199C2×D4×D59—42no—
200C2×D4×D59—42no—
201C22×C4×D59C2311yescharacteristic
202C22×C4×D59C2311yescharacteristic
203C22×C4×D59C2311yescharacteristic
204C22×C4×D59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209#14273722—42no—
210#14273720—42no—
211#14273717—42no—
212#14273713—42no—
213#14273713—42no—
214#14273712—42no—
215#14273709—42no—
216#14273705—24no—
217#14273705—42no—
218#14273700—42no—
219#14273700—42no—
220#14273697—24no—
221#14273697—24no—
222C4×Dic118—42no—
223C4×D236—24no—
224#14273689—24no—
225#14273689—24no—
226C2×C4⋊Dic59C2311yescharacteristic
227C2×C4⋊Dic59C2311yescharacteristic
228C2×C4⋊Dic59C2311yescharacteristic
229C2×C4⋊Dic59C2311yescharacteristic
230C2×C4⋊Dic59C2311yescharacteristic
231C2×C4⋊Dic59C2311yescharacteristic
232C2×C4⋊Dic59C2311yescharacteristic
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
247C4⋊C4×D59—42no—
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×(C2×D59)⋊C4C2311yescharacteristic
259C2×(C2×D59)⋊C4C2311yescharacteristic
260C2×(C2×D59)⋊C4C2311yescharacteristic
261C2×(C2×D59)⋊C4C2311yescharacteristic
262C2×(C2×D59)⋊C4C2311yescharacteristic
263C2×(C2×D59)⋊C4C2311yescharacteristic
264C2×(C2×D59)⋊C4C2311yescharacteristic
265C2×(C2×D59)⋊C4C2311yescharacteristic
266C2×(C2×D59)⋊C4C2311yescharacteristic
267C2×(C2×D59)⋊C4C2311yescharacteristic
268C2×(C2×D59)⋊C4C2311yescharacteristic
269C2×(C2×D59)⋊C4C2311yescharacteristic
270C2×(C2×D59)⋊C4C2311yescharacteristic
271C2×(C2×D59)⋊C4C2311yescharacteristic
272C2×(C2×D59)⋊C4C2311yescharacteristic
273C2×(C2×D59)⋊C4C2311yescharacteristic
274C2×(C2×D59)⋊C4C2311yescharacteristic
275C2×(C2×D59)⋊C4C2311yescharacteristic
276C2×(C2×D59)⋊C4C2311yescharacteristic
277C2×(C2×D59)⋊C4C2311yescharacteristic
278C2×(C2×D59)⋊C4C2311yescharacteristic
279C2×(C2×D59)⋊C4C2311yescharacteristic
280C2×(C2×D59)⋊C4C2311yescharacteristic
281C2×(C2×D59)⋊C4C2311yescharacteristic
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×(C2×D59)⋊C4C2311yescharacteristic
284C2×(C2×D59)⋊C4C2311yescharacteristic
285C2×(C2×D59)⋊C4C2311yescharacteristic
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C2×(C2×D59)⋊C4C2311yescharacteristic
288C2×(C2×D59)⋊C4C2311yescharacteristic
289C2×(C2×D59)⋊C4C2311yescharacteristic
290C2×(C2×D59)⋊C4C2311yescharacteristic
291C2×(C2×D59)⋊C4C2311yescharacteristic
292C2×(C2×D59)⋊C4C2311yescharacteristic
293C2×(C2×D59)⋊C4C2311yescharacteristic
294C22⋊C4×D59—24no—
295C22⋊C4×D59—24no—
296C22⋊C4×D59—42no—
297C22⋊C4×D59—42no—
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
310C42×D59—42no—
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
335C2×C4⋊C4×C59C2311yescharacteristic
336C2×C4⋊C4×C59C2311yescharacteristic
337C2×C4⋊C4×C59C2311yescharacteristic
338C2×C4⋊C4×C59C2311yescharacteristic
339C2×C4⋊C4×C59C2311yescharacteristic
340C2×C4⋊C4×C59C2311yescharacteristic
341C2×C4⋊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×C42×C59C2311yescharacteristic
355C2×C42×C59C2311yescharacteristic
356C2×C42×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
371C23×D59—22no—
372C23×D59—22no—
373C23×D59—22no—
374C23×D59—22no—
375C23×D59—22no—
376C23×D59—22no—
377C23×D59—41no—
378C23×D59—41no—
379C23×D59—41no—
380C23×D59—41no—
381C23×D59—41no—
382C23×D59—41no—
383C23×D59—41no—
384C23×D59—41no—
385C23×D59C2411yescharacteristic
386C23×D59C2411yescharacteristic
387C23×D59C2411yescharacteristic
388C23×D59C2411yescharacteristic
389C2×D4×C59—22no—
390C2×D4×C59—41no—
391C2×D4×C59—41no—
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
402C22×C4×C59C2411yescharacteristic
403C22×C4×C59C2411yescharacteristic
404C22×C4×C59C2411yescharacteristic
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—41no—
414C2×C22⋊D59—41no—
415C2×C22⋊D59—41no—
416C2×C22⋊D59—41no—
417C22×Dic59C2411yescharacteristic
418C22×Dic59C2411yescharacteristic
419C22×Dic59C2411yescharacteristic
420C22×Dic59C2411yescharacteristic
421C22×Dic59C2411yescharacteristic
422C22×Dic59C2411yescharacteristic
423C22×Dic59C2411yescharacteristic
424C22×Dic59C2411yescharacteristic
425C22×Dic59C2411yescharacteristic
426C22×Dic59C2411yescharacteristic
427C22×Dic59C2411yescharacteristic
428C22×Dic59C2411yescharacteristic
429D4×D59—416no—
430C2×D236—22no—
431C2×D236—22no—
432C2×D236—22no—
433C2×D236—22no—
434C2×D236—22no—
435C2×D236—41no—
436C2×D236—41no—
437C2×D236—41no—
438C2×D236—41no—
439C2×D236—41no—
440C2×D236—41no—
441C2×D236#4114yes—
442C2×C4×D59—22no—
443C2×C4×D59—22no—
444C2×C4×D59—22no—
445C2×C4×D59—22no—
446C2×C4×D59—22no—
447C2×C4×D59—22no—
448C2×C4×D59—22no—
449C2×C4×D59—22no—
450C2×C4×D59—22no—
451C2×C4×D59—22no—
452C2×C4×D59—22no—
453C2×C4×D59—22no—
454C2×C4×D59—41no—
455C2×C4×D59—41no—
456C2×C4×D59—41no—
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—22no—
471C4⋊C4×C59—22no—
472C4⋊C4×C59—22no—
473C4⋊C4×C59—41no—
474C4⋊C4×C59—41no—
475C4⋊C4×C59—41no—
476C22⋊C4×C59—22no—
477C22⋊C4×C59—22no—
478C22⋊C4×C59—22no—
479C22⋊C4×C59—22no—
480C22⋊C4×C59—22no—
481C22⋊C4×C59—22no—
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—22no—
489C42×C59—41no—
490C42×C59—41no—
491C42×C59—41no—
492C42×C59—41no—
493C22⋊Dic59—22no—
494C22⋊Dic59—22no—
495C22⋊Dic59—41no—
496C22⋊Dic59—41no—
497C22⋊Dic59—41no—
498C22⋊Dic59—41no—
499C22⋊Dic59—41no—
500C22⋊Dic59—41no—
501C22⋊Dic59—41no—
502C22⋊Dic59—41no—
503(C2×D59)⋊C4—22no—
504(C2×D59)⋊C4—22no—
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—22no—
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—
535(C2×D59)⋊C4—41no—
536(C2×D59)⋊C4—41no—
537(C2×D59)⋊C4—41no—
538(C2×D59)⋊C4—41no—
539C4⋊Dic59—22no—
540C4⋊Dic59—41no—
541C4⋊Dic59—41no—
542C4⋊Dic59—41no—
543C4⋊Dic59—41no—
544C4⋊Dic59—41no—
545C4⋊Dic59—41no—
546Dic59⋊C4—22no—
547Dic59⋊C4—22no—
548Dic59⋊C4—22no—
549Dic59⋊C4—22no—
550Dic59⋊C4—22no—
551Dic59⋊C4—22no—
552Dic59⋊C4—22no—
553Dic59⋊C4—41no—
554Dic59⋊C4—41no—
555Dic59⋊C4—41no—
556Dic59⋊C4—41no—
557Dic59⋊C4—41no—
558Dic59⋊C4—41no—
559Dic59⋊C4—41no—
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×C59C2511yescharacteristic
587C22×D59—21no—
588C22×D59—21no—
589C22×D59—21no—
590C22×D59—21no—
591C22×D59—21no—
592C22×D59—21no—
593C22×D59—21no—
594C22×D59—21no—
595C22×D59—21no—
596C22×D59—21no—
597C22×D59—21no—
598C22×D59—21no—
599C22×D59—21no—
600C22×D59—21no—
601C22×D59—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—44no—
612C22×D59—44no—
613C22×D59—44no—
614C22×D59—44no—
615C22×D59—44no—
616C22×D59—44no—
617C22×D59—82no—
618C22×D59—82no—
619C22×D59—82no—
620C22×D59—82no—
621C22×D59—82no—
622C22×D59—82no—
623C22×D59—82no—
624C22×D59—82no—
625C22×D59C2×#4112yes—
626C22×D59C2×#4112yes—
627C22×D59C2×#4112yes—
628C22×D59C2×#4112yes—
629D4×C59—44no—
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—21no—
664C2×C4×C59—21no—
665C2×C4×C59C2×#4112yes—
666C2×C4×C59C2×#4112yes—
667C2×C4×C59C2×#4112yes—
668C2×C4×C59H(5,𝔽2)12yes—
669C22⋊D59—44no—
670C22⋊D59—44no—
671C22⋊D59—82no—
672C22⋊D59—82no—
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—21no—
703C2×Dic59—21no—
704C2×Dic59—21no—
705C2×Dic59C2×#4112yes—
706C2×Dic59C2×#4112yes—
707C2×Dic59H(5,𝔽2)12yes—
708C2×Dic59H(5,𝔽2)12yes—
709D236—28no—
710D236—44no—
711D236—82no—
712D236—82no—
713C4×D59—28no—
714C4×D59—44no—
715C4×D59—44no—
716C4×D59—44no—
717C4×D59—44no—
718C4×D59—44no—
719C4×D59—82no—
720C4×D59—82no—
721Dic118—44no—
722#35025—591nomaximal, Sylow
723C22×C59—41no—
724C22×C59—41no—
725C22×C59—41no—
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×C59C22×#4111yescharacteristic
738C22×C59C22×#4111yescharacteristic
739C22×C59C22×#4111yescharacteristic
740C22×C59C2×H(5,𝔽2)11yescharacteristic
741C22×C59C2×H(5,𝔽2)11yescharacteristic
742C22×C59C2×H(5,𝔽2)11yescharacteristic
743C22×C59#58511yescharacteristic
744C2×D59—22no—
745C2×D59—22no—
746C2×D59—22no—
747C2×D59—22no—
748C2×D59—22no—
749C2×D59—22no—
750C2×D59—22no—
751C2×D59—22no—
752C2×D59—22no—
753C2×D59—41no—
754C2×D59—41no—
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—88no—
772C2×D59—88no—
773C2×D59#52914yes—
774C4×C59—22no—
775C4×C59—22no—
776C4×C59—22no—
777C4×C59—22no—
778C4×C59—41no—
779C4×C59—41no—
780C4×C59—41no—
781C4×C59—41no—
782C4×C59—41no—
783C4×C59—41no—
784C4×C59—41no—
785C4×C59—41no—
786C4×C59—41no—
787Dic59—22no—
788Dic59—41no—
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#2593D5911yescharacteristic, complemented
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—81no—
831C2×C59—81no—
832C2×C59C2×#52911yescharacteristic
833C2×C59C2×#53811yescharacteristic
834C2×C59#346011yescharacteristic
835C2×C59#350511yescharacteristic
836C2×C59#350811yescharacteristic
837C2×C59#351411yescharacteristic
838C2×C59#351911yescharacteristic
839D59—24no—
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⋊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#398C2×D5911yescharacteristic, complemented
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#394C2×D5911yescharacteristic
897#394C2×D5911yescharacteristic
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#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#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#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⋊C4C2×D5911yescharacteristic, complemented
988C4×C4⋊C4C2×D5911yescharacteristic, complemented
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⋊C4—591no—
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—591no—
1009C22×D4—591no—
1010C22×D4—1184no—
1011C22×D4—2362no—
1012C22×D4—2362no—
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×C4—591no—
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—2362no—
1061C2×C4⋊C4C22×D5911yescharacteristic
1062C2×C4⋊C4C22×D5911yescharacteristic
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—591no—
1113C2×C22⋊C4—591no—
1114C2×C22⋊C4—1184no—
1115C2×C22⋊C4—1184no—
1116C2×C22⋊C4—2362no—
1117C2×C22⋊C4—2362no—
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—2362no—
1143C2×C42—2362no—
1144C2×C42C22×D5911yescharacteristic
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#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—591no—
1185C24—1182no—
1186C24—1182no—
1187C24—1182no—
1188C24—1182no—
1189C24—1182no—
1190C24—1182no—
1191C24—2361no—
1192C24—2361no—
1193C24—2361no—
1194C24—2361no—
1195C24—2361no—
1196C24—2361no—
1197C24—2361no—
1198C24—2361no—
1199C24C23×D5911yescharacteristic
1200C24C23×D5911yescharacteristic
1201C2×Q8—1182no—
1202C2×Q8—1182no—
1203C2×Q8—1182no—
1204C2×D4—22no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—594no—
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—1182no—
1220C2×D4—1182no—
1221C2×D4—2361no—
1222C2×D4—2361no—
1223C2×D4—2361no—
1224C2×D4—2361no—
1225C2×D4—2361no—
1226C2×D4—2361no—
1227C2×D4—23616no—
1228C2×D4—2361no—
1229C2×D4—2361no—
1230C2×D4—2361no—
1231C2×D4—2361no—
1232C22×C4—591no—
1233C22×C4—591no—
1234C22×C4—594no—
1235C22×C4—594no—
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—591no—
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—2361no—
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×C4C23×D5911yescharacteristic
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—22no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
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—2361no—
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—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—1182no—
1322C22⋊C4—1182no—
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—2361no—
1342C22⋊C4—2361no—
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—22no—
1368C42—41no—
1369C42—41no—
1370C42—41no—
1371C42—41no—
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—592no—
1399C23—592no—
1400C23—592no—
1401C23—592no—
1402C23—1181no—
1403C23—1181no—
1404C23—1181no—
1405C23—1181no—
1406C23—1181no—
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—1181no—
1426C23—4722no—
1427C23—4722no—
1428C23—4722no—
1429C23—4722no—
1430C23—4722no—
1431C23—4722no—
1432C23—4722no—
1433C23—4722no—
1434C23—2364no—
1435C23—2364no—
1436C23—2364no—
1437C23—2364no—
1438C23—2364no—
1439C23—2364no—
1440C23C24×D5911yescharacteristic
1441Q8—2364no—
1442D4—44no—
1443D4—1188no—
1444D4—4722no—
1445D4—4722no—
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—21no—
1486C2×C4—592no—
1487C2×C4—592no—
1488C2×C4—592no—
1489C2×C4—592no—
1490C2×C4—1188no—
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—1181no—
1519C2×C4—1181no—
1520C2×C4—1181no—
1521C2×C4—1181no—
1522C2×C4—1181no—
1523C2×C4—4722no—
1524C2×C4—4722no—
1525C2×C4—2364no—
1526C2×C4—2364no—
1527C2×C4—2364no—
1528C2×C4—2364no—
1529C2×C4—2364no—
1530C2×C4#41×D5912yes—
1531C2×C4#41×D5912yes—
1532C2×C4#41×D5912yes—
1533C2×C4#1427377312yes—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—594no—
1549C22—1182no—
1550C22—1182no—
1551C22—1182no—
1552C22—1182no—
1553C22—1182no—
1554C22—1182no—
1555C22—1182no—
1556C22—1182no—
1557C22—1182no—
1558C22—4728no—
1559C22—4728no—
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—2361no—
1578C22C2×#41×D5911yescharacteristic
1579C22C2×#41×D5911yescharacteristic
1580C22C2×#41×D5911yescharacteristic
1581C22H(5,𝔽2)×D5911yescharacteristic
1582C22H(5,𝔽2)×D5911yescharacteristic
1583C22C2×#1427377311yescharacteristic
1584C22#1683823811yescharacteristic
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—22no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—594no—
1599C4—1182no—
1600C4—2361no—
1601C4—2361no—
1602C4—2361no—
1603C4—2361no—
1604C4—2361no—
1605C4—2361no—
1606C4—2361no—
1607C4—2361no—
1608C4—2361no—
1609C4—2361no—
1610C2—81no—
1611C2—81no—
1612C2—1184no—
1613C2—4721no—
1614C2—4721no—
1615C2—2362no—
1616C2#529×D5911yescharacteristic
1617C2#538×D5911yescharacteristic
1618C2#2143751711yescharacteristic
1619C2#2143792911yescharacteristic
1620C2#2143796911yescharacteristic
1621C2#2143805311yescharacteristic
1622C2#2143812411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2593C2
prime radical#21427447C2
hypercenter#2593D59
hypocenterC59#35025
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2593

Complements

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

NH ≅ G/Ntype
1. #21432465C2semidirect
2. #21432462C2semidirect
3. #21432423C2semidirect
4. #21432394C2semidirect
5. #21430132C2semidirect
6. #21430130C2semidirect
7. #21430083C2semidirect
8. #21430081C2semidirect
9. #21429587C2semidirect
10. #21429158C2semidirect
11. #21429150C2semidirect
12. #21428690C2semidirect
13. #21428447C2semidirect
14. #21428348C2semidirect
15. #21428340C2semidirect
16. #21427891C2semidirect
17. #21427813C2semidirect
18. #21427742C2semidirect
19. #21427661C2semidirect
20. #21427565C2semidirect
21. #21427563C2semidirect
22. #21427542C2semidirect
24. #21426749C2semidirect
25. #21426749C2semidirect
26. #21426690C2semidirect
27. #21426690C2semidirect
28. C4×#14273705C2semidirect
29. #390×D59C2semidirect
30. C4×#14273689C2semidirect
31. C59×#2593C2semidirect
33. C2×#14273722C22semidirect
34. C2×#14273720C22semidirect
35. C2×#14273717C22semidirect
38. C2×#14273712C22semidirect
39. C2×#14273709C22semidirect
41. C2×#14273705C22semidirect
46. C2×C4×Dic118C22semidirect
56. C2×C42×D59C22semidirect
57. #16837344C22semidirect
58. #16837339C22semidirect
59. #16837338C22semidirect
60. #16837335C22semidirect
61. #16837335C22semidirect
62. #16837334C22semidirect
63. #16837331C22semidirect
64. #16837331C22semidirect
65. #16837330C22semidirect
66. #16837329C22semidirect
67. #16837329C22semidirect
68. #16837327C22semidirect
69. #16837327C22semidirect
70. #16837327C22semidirect
71. #16837325C22semidirect
72. #16837324C22semidirect
73. #16837324C22semidirect
74. #16837324C22semidirect
76. #16837320C22semidirect
79. #16837319C22semidirect
80. #16837318C22semidirect
81. #16837317C22semidirect
85. #16837306C22semidirect
86. #16837306C22semidirect
89. #16837304C22semidirect
90. #16837304C22semidirect
100. #16837302C22semidirect
101. #16837302C22semidirect
102. #16837299C22semidirect
103. #16837299C22semidirect
104. #16837299C22semidirect
105. #16837297C22semidirect
106. #16837296C22semidirect
107. #16837296C22semidirect
108. #16837295C22semidirect
109. #16837295C22semidirect
110. #16837295C22semidirect
111. #16837295C22semidirect
112. #16837294C22semidirect
113. #16837294C22semidirect
114. #16837294C22semidirect
115. #16837293C22semidirect
116. #16837293C22semidirect
117. #16837293C22semidirect
118. #16837293C22semidirect
119. #16837293C22semidirect
120. #16837293C22semidirect
121. #16837292C22semidirect
122. #16837292C22semidirect
123. #16837292C22semidirect
124. #16837292C22semidirect
125. #16837291C22semidirect
126. #16837291C22semidirect
127. #16837291C22semidirect
128. #16837291C22semidirect
129. #16837290C22semidirect
130. #16837290C22semidirect
131. #16837290C22semidirect
132. #16837288C22semidirect
133. #16837284C22semidirect
136. #16837280C22semidirect
137. #16837280C22semidirect
138. #16837280C22semidirect
139. #16837278C22semidirect
140. #16837278C22semidirect
141. #16837278C22semidirect
146. #16837266C22semidirect
150. #16837261C22semidirect
159. C4⋊C4×Dic59C22semidirect
160. C4⋊C4×Dic59C22semidirect
161. C4×Dic59⋊C4C22semidirect
162. C4×Dic59⋊C4C22semidirect
166. C4×(C2×D59)⋊C4C22semidirect
169. #16837249C22semidirect
170. #16837249C22semidirect
171. C42×Dic59C22semidirect
172. C59×#400C22semidirect
173. C59×#398C22semidirect
177. C59×#388C22semidirect
178. C59×#388C22semidirect
179. C59×#388C22semidirect
180. C59×#388C22semidirect
181. C59×#388C22semidirect
182. C59×#388C22semidirect
183. C59×#388C22semidirect
184. C59×#388C22semidirect
185. C4×C4⋊C4×C59C22semidirect
186. C4×C4⋊C4×C59C22semidirect
808. #2593D59semidirect
869. #400C2×D59semidirect
875. #398C2×D59semidirect
948. #388C2×D59semidirect
949. #388C2×D59semidirect
950. #388C2×D59semidirect
951. #388C2×D59semidirect
952. #388C2×D59semidirect
953. #388C2×D59semidirect
954. #388C2×D59semidirect
955. #388C2×D59semidirect
987. C4×C4⋊C4C2×D59semidirect
988. C4×C4⋊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
#214324232
#214323942
#214301322
#214301302
#214300832
#214300812
#214295872
#214291582
#214291502
#214286902
#214284472
#214283482
#214283402
#214278912
#214278132
#214277422
#214276612
#214275652
#214275632
#214275422
#214274472
#214267492
#214266902
C4×#142737052
#390×D592
C4×#142736892
C59×#25932
#3502559