Finite Group Databasebeta

← #29451926

Subgroups — #29451926

Order 15104.

2096 conjugacy classes of subgroups.

The subgroup lattice has 1616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21431872C211yesmaximal, characteristic, complemented
2#21431868C211yesmaximal, characteristic, complemented
3#21430830C211yesmaximal, characteristic, complemented
4#21430315C211yesmaximal, characteristic
5#21429725C211yesmaximal, characteristic, complemented
6#21429719C211yesmaximal, characteristic, complemented
7#21429679C211yesmaximal, characteristic, complemented
8#21429677C211yesmaximal, characteristic, complemented
9#21429444C211yesmaximal, characteristic, complemented
10#21429158C211yesmaximal, characteristic, complemented
11#21428987C211yesmaximal, characteristic, complemented
12#21428870C211yesmaximal, characteristic, complemented
13#21428867C211yesmaximal, characteristic, complemented
14#21428284C211yesmaximal, characteristic, complemented
15#21428281C211yesmaximal, characteristic, complemented
16#21428160C211yesmaximal, characteristic, complemented
17#21428158C211yesmaximal, characteristic, complemented
18#21428001C211yesmaximal, characteristic, complemented
19#21427999C211yesmaximal, characteristic, complemented
20#21427482C211yesmaximal, characteristic, complemented
21#21427478C211yesmaximal, characteristic, complemented
22#21427225C211yesmaximal, characteristic, complemented
23#21427117C211yesmaximal, characteristic, complemented
24#21427109C211yesmaximal, characteristic, complemented
25#21427078C211yesmaximal, characteristic, complemented
26#21427077C211yesmaximal, characteristic, complemented
27#21427076C211yesmaximal, characteristic, complemented
28#21426660C211yesmaximal, characteristic, complemented
29#21426592C211yesmaximal, characteristic, complemented
30#21426589C211yesmaximal, characteristic, complemented
31C59×#2554C211yesmaximal, characteristic, complemented
32C2×#14273723C2211yescharacteristic
33C2×#14273720C2211yescharacteristic, complemented
34C2×#14273712C2211yescharacteristic
35C2×#14273709C2211yescharacteristic
36C2×#14273700C2211yescharacteristic
37C2×#14273698C2211yescharacteristic
38C2×#14273697C2211yescharacteristic
39C2×#14273695C2211yescharacteristic
40C2×#14273695C2211yescharacteristic
41C2×C4×D236C2211yescharacteristic
42C2×D4×Dic59C2211yescharacteristic
43C2×D4×Dic59C2211yescharacteristic, complemented
44C2×#14273689C2211yescharacteristic
45C2×(C22⋊D59)⋊C4C2211yescharacteristic
46C2×(C22⋊D59)⋊C4C2211yescharacteristic
47C2×(C22⋊D59)⋊C4C2211yescharacteristic
48C2×(C22⋊D59)⋊C4C2211yescharacteristic
49C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
50C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
51C2×#14273686C2211yescharacteristic
52C2×#14273684C2211yescharacteristic
53C2×C4⋊C4×D59C2211yescharacteristic, complemented
54C22×(C2×D59)⋊C4C2211yescharacteristic
55C2×C22⋊C4×D59C2211yescharacteristic
56C2×C22⋊C4×D59C2211yescharacteristic
57#16837342C2211yescharacteristic, complemented
58#16837340C2211yescharacteristic, complemented
59#16837335C2211yescharacteristic, complemented
60#16837335C2211yescharacteristic, complemented
61#16837334C2211yescharacteristic, complemented
62#16837333C2211yescharacteristic, complemented
63#16837332C2211yescharacteristic, complemented
64#16837330C2211yescharacteristic, complemented
65#16837327C2211yescharacteristic, complemented
66#16837325C2211yescharacteristic
67#16837324C2211yescharacteristic
68#16837324C2211yescharacteristic
69#16837324C2211yescharacteristic
70#16837324C2211yescharacteristic
71#16837319C2211yescharacteristic
72#16837318C2211yescharacteristic
73#16837318C2211yescharacteristic
74#16837318C2211yescharacteristic
75#16837318C2211yescharacteristic
76#16837318C2211yescharacteristic, complemented
77#16837317C2211yescharacteristic
78#16837317C2211yescharacteristic
79#16837317C2211yescharacteristic, complemented
80#16837316C2211yescharacteristic
81#16837316C2211yescharacteristic, complemented
82#16837311C2211yescharacteristic
83#16837310C2211yescharacteristic
84#16837310C2211yescharacteristic
85#16837304C2211yescharacteristic
86#16837302C2211yescharacteristic
87#16837302C2211yescharacteristic
88#16837302C2211yescharacteristic
89#16837302C2211yescharacteristic
90#16837302C2211yescharacteristic, complemented
91#16837302C2211yescharacteristic, complemented
92#16837299C2211yescharacteristic, complemented
93#16837298C2211yescharacteristic, complemented
94#16837296C2211yescharacteristic
95#16837296C2211yescharacteristic
96#16837296C2211yescharacteristic, complemented
97#16837295C2211yescharacteristic, complemented
98#16837295C2211yescharacteristic, complemented
99#16837295C2211yescharacteristic, complemented
100#16837294C2211yescharacteristic
101#16837294C2211yescharacteristic
102#16837294C2211yescharacteristic
103#16837293C2211yescharacteristic
104#16837293C2211yescharacteristic
105#16837293C2211yescharacteristic, complemented
106#16837292C2211yescharacteristic
107#16837292C2211yescharacteristic
108#16837292C2211yescharacteristic
109#16837292C2211yescharacteristic, complemented
110#16837291C2211yescharacteristic
111#16837290C2211yescharacteristic
112#16837290C2211yescharacteristic
113#16837290C2211yescharacteristic
114#16837290C2211yescharacteristic, complemented
115#16837289C2211yescharacteristic, complemented
116#16837289C2211yescharacteristic, complemented
117#16837289C2211yescharacteristic, complemented
118#16837288C2211yescharacteristic, complemented
119#16837287C2211yescharacteristic, complemented
120#16837287C2211yescharacteristic, complemented
121#16837285C2211yescharacteristic, complemented
122#16837285C2211yescharacteristic, complemented
123#16837283C2211yescharacteristic, complemented
124#16837283C2211yescharacteristic, complemented
125#16837282C2211yescharacteristic
126#16837282C2211yescharacteristic
127#16837281C2211yescharacteristic
128#16837280C2211yescharacteristic
129#16837280C2211yescharacteristic
130#16837280C2211yescharacteristic
131#16837280C2211yescharacteristic
132#16837279C2211yescharacteristic
133#16837278C2211yescharacteristic
134#16837278C2211yescharacteristic
135#16837278C2211yescharacteristic
136#16837278C2211yescharacteristic
137#16837278C2211yescharacteristic
138#16837278C2211yescharacteristic, complemented
139#16837278C2211yescharacteristic, complemented
140#16837277C2211yescharacteristic
141#16837277C2211yescharacteristic, complemented
142#16837276C2211yescharacteristic
143#16837276C2211yescharacteristic
144#16837276C2211yescharacteristic, complemented
145#16837274C2211yescharacteristic
146#16837274C2211yescharacteristic
147#16837274C2211yescharacteristic, complemented
148#16837273C2211yescharacteristic
149#16837273C2211yescharacteristic
150#16837273C2211yescharacteristic
151#16837273C2211yescharacteristic, complemented
152#16837271C2211yescharacteristic, complemented
153#16837264C2211yescharacteristic
154#16837263C2211yescharacteristic, complemented
155#16837263C2211yescharacteristic, complemented
156#16837259C2211yescharacteristic
157#16837259C2211yescharacteristic, complemented
158#16837257C2211yescharacteristic
159C4×Dic59⋊C4C2211yescharacteristic, complemented
160C4×Dic59⋊C4C2211yescharacteristic, complemented
161C4×C4⋊Dic59C2211yescharacteristic, complemented
162C4×(C2×D59)⋊C4C2211yescharacteristic
163C4×(C2×D59)⋊C4C2211yescharacteristic
164C4×(C2×D59)⋊C4C2211yescharacteristic
165C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
166C4×C22⋊Dic59C2211yescharacteristic
167#16837249C2211yescharacteristic
168#16837249C2211yescharacteristic, complemented
169#16837248C2211yescharacteristic, complemented
170#16837248C2211yescharacteristic, complemented
171C42×Dic59C2211yescharacteristic, complemented
172C2×#126×C59C2211yescharacteristic, complemented
173C2×#123×C59C2211yescharacteristic
174C59×#398C2211yescharacteristic, complemented
175C59×#396C2211yescharacteristic
176C59×#394C2211yescharacteristic, complemented
177C59×#392C2211yescharacteristic
178C59×#390C2211yescharacteristic
179C59×#390C2211yescharacteristic
180C59×#390C2211yescharacteristic, complemented
181C59×#388C2211yescharacteristic, complemented
182C59×#388C2211yescharacteristic, complemented
183C59×#388C2211yescharacteristic, complemented
184C59×#386C2211yescharacteristic
185C4×C4⋊C4×C59C2211yescharacteristic, complemented
186C4×C22⋊C4×C59C2211yescharacteristic
187C24×D59C2311yescharacteristic
188C22×D236C2311yescharacteristic
189C22×D236C2311yescharacteristic
190C22×C22⋊D59C2311yescharacteristic
191C22×C22⋊D59C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C23×Dic59C2311yescharacteristic
198C23×Dic59C2311yescharacteristic
199C23×Dic59C2311yescharacteristic
200C22×C4×D59C2311yescharacteristic
201C22×C4×D59C2311yescharacteristic
202C22×C4×D59C2311yescharacteristic
203C22×C4×D59C2311yescharacteristic
204C22×C4×D59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207#14273723—24no—
208#14273720—42no—
209#14273712—24no—
210#14273709—42no—
211#14273700—24no—
212#14273698—24no—
213#14273697—24no—
214#14273695—24no—
215#14273695—24no—
216C4×D236—42no—
217D4×Dic59—42no—
218D4×Dic59—42no—
219#14273689—42no—
220(C22⋊D59)⋊C4—42no—
221(C22⋊D59)⋊C4—42no—
222(C22⋊D59)⋊C4—42no—
223(C22⋊D59)⋊C4—42no—
224(C22⋊D59)⋊C4—42no—
225(C22⋊D59)⋊C4—42no—
226#14273686—24no—
227#14273684—24no—
228C2×C4⋊Dic59C2311yescharacteristic
229C2×C4⋊Dic59C2311yescharacteristic
230C2×C4⋊Dic59C2311yescharacteristic
231C2×C4⋊Dic59C2311yescharacteristic
232C2×C4⋊Dic59C2311yescharacteristic
233C2×C4⋊Dic59C2311yescharacteristic
234C2×C4⋊Dic59C2311yescharacteristic
235C2×C4⋊Dic59C2311yescharacteristic
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
249C4⋊C4×D59—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—42no—
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
289C22⋊C4×D59—42no—
290C22⋊C4×D59—42no—
291C2×C4×Dic59C2311yescharacteristic
292C2×C4×Dic59C2311yescharacteristic
293C2×C4×Dic59C2311yescharacteristic
294C2×C4×Dic59C2311yescharacteristic
295C2×C4×Dic59C2311yescharacteristic
296C2×C4×Dic59C2311yescharacteristic
297C2×C4×Dic59C2311yescharacteristic
298C2×C4×Dic59C2311yescharacteristic
299C2×C4×Dic59C2311yescharacteristic
300C2×C4×Dic59C2311yescharacteristic
301C2×C4×Dic59C2311yescharacteristic
302C59⋊#95C2311yescharacteristic
303C59⋊#95C2311yescharacteristic
304C59⋊#95C2311yescharacteristic
305C59⋊#95C2311yescharacteristic
306C59⋊#95C2311yescharacteristic
307C59⋊#95C2311yescharacteristic
308C59⋊#95C2311yescharacteristic
309C59⋊#95C2311yescharacteristic
310C59⋊#95C2311yescharacteristic
311C59⋊#95C2311yescharacteristic
312C59⋊#95C2311yescharacteristic
313C59⋊#95C2311yescharacteristic
314C59⋊#95C2311yescharacteristic
315C59⋊#95C2311yescharacteristic
316C59⋊#95C2311yescharacteristic
317C59⋊#95C2311yescharacteristic
318C59⋊#95C2311yescharacteristic
319C59⋊#95C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C22×D4×C59C2311yescharacteristic
333C22×D4×C59C2311yescharacteristic
334C22×D4×C59C2311yescharacteristic
335C23×C4×C59C2311yescharacteristic
336#126×C59—42no—
337#123×C59—42no—
338C2×C4⋊C4×C59C2311yescharacteristic
339C2×C4⋊C4×C59C2311yescharacteristic
340C2×C4⋊C4×C59C2311yescharacteristic
341C2×C4⋊C4×C59C2311yescharacteristic
342C2×C4⋊C4×C59C2311yescharacteristic
343C2×C4⋊C4×C59C2311yescharacteristic
344C2×C4⋊C4×C59C2311yescharacteristic
345C2×C22⋊C4×C59C2311yescharacteristic
346C2×C22⋊C4×C59C2311yescharacteristic
347C2×C22⋊C4×C59C2311yescharacteristic
348C2×C22⋊C4×C59C2311yescharacteristic
349C2×C22⋊C4×C59C2311yescharacteristic
350C2×C22⋊C4×C59C2311yescharacteristic
351C2×C22⋊C4×C59C2311yescharacteristic
352C2×C22⋊C4×C59C2311yescharacteristic
353C2×C22⋊C4×C59C2311yescharacteristic
354C2×C22⋊C4×C59C2311yescharacteristic
355C2×C22⋊C4×C59C2311yescharacteristic
356C2×C22⋊C4×C59C2311yescharacteristic
357C2×C22⋊C4×C59C2311yescharacteristic
358C2×C22⋊C4×C59C2311yescharacteristic
359C2×C42×C59C2311yescharacteristic
360C2×C42×C59C2311yescharacteristic
361C2×C42×C59C2311yescharacteristic
362C2×C42×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—41no—
376C23×D59—41no—
377C23×D59—41no—
378C23×D59—41no—
379C23×D59C2411yescharacteristic
380C23×D59C2411yescharacteristic
381C23×D59C2411yescharacteristic
382C2×D4×C59—22no—
383C2×D4×C59—22no—
384C2×D4×C59—22no—
385C2×D4×C59—22no—
386C2×D4×C59—41no—
387C2×D4×C59—41no—
388C2×D4×C59—41no—
389C2×D4×C59—41no—
390C2×D4×C59—41no—
391C22×C4×C59—22no—
392C22×C4×C59—22no—
393C22×C4×C59—41no—
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
405C22×C4×C59C2411yescharacteristic
406C2×C22⋊D59—22no—
407C2×C22⋊D59—22no—
408C2×C22⋊D59—22no—
409C2×C22⋊D59—22no—
410C2×C22⋊D59—22no—
411C2×C22⋊D59—22no—
412C2×C22⋊D59—22no—
413C2×C22⋊D59—22no—
414C2×C22⋊D59—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—41no—
424C2×C22⋊D59—41no—
425C2×C22⋊D59—41no—
426C2×C22⋊D59—41no—
427C22×Dic59—22no—
428C22×Dic59—22no—
429C22×Dic59—41no—
430C22×Dic59—41no—
431C22×Dic59—41no—
432C22×Dic59—41no—
433C22×Dic59—41no—
434C22×Dic59—41no—
435C22×Dic59—41no—
436C22×Dic59C2411yescharacteristic
437C22×Dic59C2411yescharacteristic
438C22×Dic59C2411yescharacteristic
439C22×Dic59C2411yescharacteristic
440C22×Dic59C2411yescharacteristic
441C22×Dic59C2411yescharacteristic
442C22×Dic59C2411yescharacteristic
443C22×Dic59C2411yescharacteristic
444C22×Dic59C2411yescharacteristic
445C22×Dic59C2411yescharacteristic
446C22×Dic59C2411yescharacteristic
447C22×Dic59C2411yescharacteristic
448C22×Dic59C2411yescharacteristic
449C2×D236—22no—
450C2×D236—22no—
451C2×D236—41no—
452C2×D236—41no—
453C2×D236—41no—
454C2×D236#4114yes—
455C2×C4×D59—22no—
456C2×C4×D59—22no—
457C2×C4×D59—22no—
458C2×C4×D59—22no—
459C2×C4×D59—22no—
460C2×C4×D59—22no—
461C2×C4×D59—22no—
462C2×C4×D59—41no—
463C2×C4×D59—41no—
464C2×C4×D59—41no—
465C2×C4×D59—41no—
466C2×C4×D59—41no—
467C2×C4×D59—41no—
468C2×C4×D59—41no—
469C2×C4×D59—41no—
470C2×C4×D59—41no—
471C2×C4×D59—41no—
472C2×C4×D59—41no—
473C2×C4×D59—41no—
474C2×C4×D59—41no—
475C2×C4×D59—41no—
476C4⋊C4×C59—22no—
477C4⋊C4×C59—22no—
478C4⋊C4×C59—41no—
479C4⋊C4×C59—41no—
480C4⋊C4×C59—41no—
481C4⋊C4×C59—41no—
482C4⋊C4×C59—41no—
483C22⋊C4×C59—22no—
484C22⋊C4×C59—22no—
485C22⋊C4×C59—22no—
486C22⋊C4×C59—22no—
487C22⋊C4×C59—22no—
488C22⋊C4×C59—22no—
489C22⋊C4×C59—22no—
490C22⋊C4×C59—41no—
491C22⋊C4×C59—41no—
492C22⋊C4×C59—41no—
493C22⋊C4×C59—41no—
494C22⋊C4×C59—41no—
495C22⋊C4×C59—41no—
496C22⋊C4×C59—41no—
497C42×C59—22no—
498C42×C59—22no—
499C42×C59—41no—
500C42×C59—41no—
501C22⋊Dic59—22no—
502C22⋊Dic59—22no—
503C22⋊Dic59—22no—
504C22⋊Dic59—22no—
505C22⋊Dic59—41no—
506C22⋊Dic59—41no—
507C22⋊Dic59—41no—
508C22⋊Dic59—41no—
509C22⋊Dic59—41no—
510C22⋊Dic59—41no—
511C22⋊Dic59—41no—
512C22⋊Dic59—41no—
513C22⋊Dic59#4114yes—
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—22no—
522(C2×D59)⋊C4—22no—
523(C2×D59)⋊C4—22no—
524(C2×D59)⋊C4—22no—
525(C2×D59)⋊C4—22no—
526(C2×D59)⋊C4—22no—
527(C2×D59)⋊C4—22no—
528(C2×D59)⋊C4—22no—
529(C2×D59)⋊C4—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#4114yes—
539C4⋊Dic59—22no—
540C4⋊Dic59—22no—
541C4⋊Dic59—22no—
542C4⋊Dic59—22no—
543C4⋊Dic59—41no—
544C4⋊Dic59—41no—
545C4⋊Dic59—41no—
546C4⋊Dic59—41no—
547Dic59⋊C4—22no—
548Dic59⋊C4—22no—
549Dic59⋊C4—22no—
550Dic59⋊C4—22no—
551Dic59⋊C4—22no—
552Dic59⋊C4—22no—
553Dic59⋊C4—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—22no—
568C4×Dic59—41no—
569C4×Dic59—41no—
570C4×Dic59—41no—
571C23×C59—21no—
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×C59C2×#4112yes—
592C23×C59C2511yescharacteristic
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—82no—
615C22×D59—82no—
616C22×D59—82no—
617C22×D59—82no—
618C22×D59C2×#4112yes—
619C22×D59C2×#4112yes—
620C22×D59C2×#4112yes—
621D4×C59—44no—
622D4×C59—44no—
623D4×C59—82no—
624C2×C4×C59—21no—
625C2×C4×C59—21no—
626C2×C4×C59—21no—
627C2×C4×C59—21no—
628C2×C4×C59—21no—
629C2×C4×C59—21no—
630C2×C4×C59—21no—
631C2×C4×C59—21no—
632C2×C4×C59—21no—
633C2×C4×C59—21no—
634C2×C4×C59—21no—
635C2×C4×C59—21no—
636C2×C4×C59—21no—
637C2×C4×C59—21no—
638C2×C4×C59—21no—
639C2×C4×C59—21no—
640C2×C4×C59—21no—
641C2×C4×C59—21no—
642C2×C4×C59—21no—
643C2×C4×C59—21no—
644C2×C4×C59—21no—
645C2×C4×C59—21no—
646C2×C4×C59—21no—
647C2×C4×C59—21no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—21no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—44no—
657C2×C4×C59C2×#4112yes—
658C2×C4×C59C2×#4112yes—
659C2×C4×C59H(5,𝔽2)12yes—
660C2×C4×C59H(5,𝔽2)12yes—
661C22⋊D59—44no—
662C22⋊D59—44no—
663C22⋊D59—44no—
664C22⋊D59—44no—
665C22⋊D59—44no—
666C22⋊D59—44no—
667C22⋊D59—82no—
668C2×Dic59—21no—
669C2×Dic59—21no—
670C2×Dic59—21no—
671C2×Dic59—21no—
672C2×Dic59—21no—
673C2×Dic59—21no—
674C2×Dic59—21no—
675C2×Dic59—21no—
676C2×Dic59—21no—
677C2×Dic59—21no—
678C2×Dic59—21no—
679C2×Dic59—21no—
680C2×Dic59—21no—
681C2×Dic59—21no—
682C2×Dic59—21no—
683C2×Dic59—21no—
684C2×Dic59—21no—
685C2×Dic59—21no—
686C2×Dic59—21no—
687C2×Dic59—21no—
688C2×Dic59—21no—
689C2×Dic59—21no—
690C2×Dic59—21no—
691C2×Dic59—21no—
692C2×Dic59—21no—
693C2×Dic59—21no—
694C2×Dic59—21no—
695C2×Dic59—21no—
696C2×Dic59—21no—
697C2×Dic59—21no—
698C2×Dic59—21no—
699C2×Dic59—21no—
700C2×Dic59—21no—
701C2×Dic59—21no—
702C2×Dic59—21no—
703C2×Dic59—82no—
704C2×Dic59—82no—
705C2×Dic59—82no—
706C2×Dic59C2×#4112yes—
707C2×Dic59C2×#4112yes—
708C2×Dic59C2×#4112yes—
709C2×Dic59H(5,𝔽2)12yes—
710D236—44no—
711D236—44no—
712C4×D59—44no—
713C4×D59—44no—
714C4×D59—82no—
715C4×D59—82no—
716C4×D59—82no—
717C4×D59—82no—
718C4×D59—82no—
719#60040—591nomaximal, Sylow
720C22×C59—22no—
721C22×C59—22no—
722C22×C59—22no—
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×C59—41no—
738C22×C59—41no—
739C22×C59—41no—
740C22×C59—41no—
741C22×C59C22×#4111yescharacteristic
742C22×C59C22×#4111yescharacteristic
743C22×C59C22×#4111yescharacteristic
744C22×C59C2×H(5,𝔽2)11yescharacteristic
745C22×C59C2×H(5,𝔽2)11yescharacteristic
746C22×C59C2×H(5,𝔽2)11yescharacteristic
747C22×C59#58511yescharacteristic
748C2×D59—22no—
749C2×D59—22no—
750C2×D59—22no—
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—88no—
770C4×C59—22no—
771C4×C59—22no—
772C4×C59—22no—
773C4×C59—22no—
774C4×C59—41no—
775C4×C59—41no—
776C4×C59—41no—
777C4×C59—41no—
778C4×C59—41no—
779C4×C59—41no—
780C4×C59—41no—
781C4×C59—41no—
782Dic59—22no—
783Dic59—22no—
784Dic59—22no—
785Dic59—22no—
786Dic59—41no—
787Dic59—41no—
788Dic59—41no—
789Dic59—41no—
790Dic59—41no—
791Dic59—41no—
792Dic59—41no—
793Dic59—41no—
794Dic59—41no—
795#2790—591no—
796#2790—591no—
797#2709—591no—
798#2669—591no—
799#2603—591no—
800#2603—591no—
801#2600—591no—
802#2600—591no—
803#2579—591no—
804#2554—591no—
805#2554D5911yescharacteristic, complemented
806#2534—591no—
807#2526—591no—
808#2526—591no—
809#2476—591no—
810#2476—591no—
811#2468—591no—
812#2468—591no—
813#2457—591no—
814#2457—591no—
815#2411—591no—
816#2411—591no—
817#2374—591no—
818#2361—591no—
819#2361—591no—
820#2358—591no—
821#2358—591no—
822#2358—591no—
823C4×#127—591no—
824#2298—591no—
825#2298—591no—
826C2×C59—42no—
827C2×C59—81no—
828C2×C59—81no—
829C2×C59#348111yescharacteristic
830C2×C59#348111yescharacteristic
831C2×C59#348111yescharacteristic
832C2×C59#349411yescharacteristic
833C2×C59#349411yescharacteristic
834C2×C59#350511yescharacteristic
835C2×C59#354311yescharacteristic
836D59—42no—
837D59—42no—
838D59—42no—
839C2×#127—591no—
840C2×#126—591no—
841C2×#126C2×D5911yescharacteristic, complemented
842C2×#123—591no—
843C2×#123—591no—
844C2×#123C2×D5911yescharacteristic
845C2×#121—591no—
846C2×#121—591no—
847C2×#120—591no—
848C2×#120—591no—
849C2×#120—591no—
850C2×C4×D4—591no—
851C2×C4×D4—591no—
852C2×C4×D4—591no—
853C2×C4×D4—591no—
854C2×C4×D4—591no—
855C2×C4×D4—591no—
856C2×C4×D4—591no—
857C2×C4×D4—591no—
858C2×C4×D4—591no—
859C2×C4×D4—591no—
860C2×#117—591no—
861C2×#117—591no—
862C22×C4⋊C4—591no—
863C22×C22⋊C4—591no—
864C22×C22⋊C4—591no—
865C22×C22⋊C4—591no—
866#400—591no—
867#400—591no—
868#398—591no—
869#398—591no—
870#398—591no—
871#398—591no—
872#398—591no—
873#398C2×D5911yescharacteristic, complemented
874#397—591no—
875#397—591no—
876#396—591no—
877#396—591no—
878#396—591no—
879#396—591no—
880#396—591no—
881#396C2×D5911yescharacteristic
882#394—591no—
883#394—591no—
884#394—591no—
885#394—591no—
886#394—591no—
887#394—591no—
888#394—591no—
889#394—591no—
890#394—591no—
891#394—591no—
892#394—591no—
893#394C2×D5911yescharacteristic, complemented
894#392—591no—
895#392—591no—
896#392—591no—
897#392C2×D5911yescharacteristic
898#390—591no—
899#390—591no—
900#390—591no—
901#390—591no—
902#390—591no—
903#390—591no—
904#390—591no—
905#390C2×D5911yescharacteristic
906#390C2×D5911yescharacteristic
907#390C2×D5911yescharacteristic, complemented
908#389—591no—
909#389—591no—
910#388—591no—
911#388—591no—
912#388—591no—
913#388—591no—
914#388—591no—
915#388—591no—
916#388—591no—
917#388—591no—
918#388—591no—
919#388—591no—
920#388—591no—
921#388—591no—
922#388—591no—
923#388—591no—
924#388—591no—
925#388—591no—
926#388—591no—
927#388—591no—
928#388—591no—
929#388—591no—
930#388—591no—
931#388C2×D5911yescharacteristic, complemented
932#388C2×D5911yescharacteristic, complemented
933#388C2×D5911yescharacteristic, complemented
934#387—591no—
935#387—591no—
936#387—591no—
937#387—591no—
938#387—591no—
939#387—591no—
940#387—591no—
941#387—591no—
942#387—591no—
943#387—591no—
944#386—591no—
945#386—591no—
946#386—591no—
947#386—591no—
948#386—591no—
949#386—591no—
950#386—591no—
951#386—591no—
952#386—591no—
953#386—591no—
954#386—591no—
955#386—591no—
956#386—591no—
957#386—591no—
958#386—591no—
959#386C2×D5911yescharacteristic
960#385—591no—
961#385—591no—
962#385—591no—
963#385—591no—
964#385—591no—
965#385—591no—
966#385—591no—
967#385—591no—
968#385—591no—
969#385—591no—
970#385—591no—
971#385—591no—
972#384—591no—
973#381—591no—
974#381—591no—
975#381—591no—
976#380—591no—
977#380—591no—
978#379—591no—
979C4×C4⋊C4—591no—
980C4×C4⋊C4—591no—
981C4×C4⋊C4—591no—
982C4×C4⋊C4C2×D5911yescharacteristic, complemented
983C4×C22⋊C4—591no—
984C4×C22⋊C4—591no—
985C4×C22⋊C4—591no—
986C4×C22⋊C4—591no—
987C4×C22⋊C4—591no—
988C4×C22⋊C4—591no—
989C4×C22⋊C4—591no—
990C4×C22⋊C4C2×D5911yescharacteristic
991#376—591no—
992#376—591no—
993C43—591no—
994C59#6004011yescharacteristic, complemented, Sylow
995C25—591no—
996C22×D4—591no—
997C22×D4—591no—
998C22×D4—591no—
999C22×D4—591no—
1000C22×D4—591no—
1001C22×D4—591no—
1002C22×D4—591no—
1003C22×D4—591no—
1004C22×D4—591no—
1005C22×D4C22×D5911yescharacteristic
1006C22×D4C22×D5911yescharacteristic
1007C22×D4C22×D5911yescharacteristic
1008C23×C4—591no—
1009C23×C4—591no—
1010C23×C4—591no—
1011C23×C4—591no—
1012C23×C4—591no—
1013C23×C4—591no—
1014C23×C4—591no—
1015C23×C4—591no—
1016C23×C4—591no—
1017C23×C4—591no—
1018C23×C4C22×D5911yescharacteristic
1019#127—1184no—
1020#126—42no—
1021#126—2362no—
1022#123—42no—
1023#123—1184no—
1024#123—2362no—
1025#121—1184no—
1026#121—1184no—
1027#120—1184no—
1028#120—1184no—
1029#120—1184no—
1030C4×D4—2362no—
1031C4×D4—2362no—
1032C4×D4—2362no—
1033C4×D4—2362no—
1034C4×D4—2362no—
1035C4×D4—2362no—
1036C4×D4—2362no—
1037C4×D4—2362no—
1038C4×D4—2362no—
1039C4×D4—2362no—
1040#117—1184no—
1041#117—1184no—
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×C4⋊C4C22×D5911yescharacteristic
1069C2×C4⋊C4C22×D5911yescharacteristic
1070C2×C4⋊C4C22×D5911yescharacteristic
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—2362no—
1110C2×C22⋊C4—2362no—
1111C2×C22⋊C4—2362no—
1112C2×C22⋊C4C22×D5911yescharacteristic
1113C2×C22⋊C4C22×D5911yescharacteristic
1114C2×C22⋊C4C22×D5911yescharacteristic
1115C2×C22⋊C4C22×D5911yescharacteristic
1116C2×C22⋊C4C22×D5911yescharacteristic
1117C2×C22⋊C4C22×D5911yescharacteristic
1118C2×C22⋊C4C22×D5911yescharacteristic
1119C2×C22⋊C4C22×D5911yescharacteristic
1120C2×C22⋊C4C22×D5911yescharacteristic
1121C2×C22⋊C4C22×D5911yescharacteristic
1122C2×C22⋊C4C22×D5911yescharacteristic
1123C2×C22⋊C4C22×D5911yescharacteristic
1124C2×C22⋊C4C22×D5911yescharacteristic
1125C2×C22⋊C4C22×D5911yescharacteristic
1126C2×C42—591no—
1127C2×C42—591no—
1128C2×C42—591no—
1129C2×C42—591no—
1130C2×C42—591no—
1131C2×C42—591no—
1132C2×C42—591no—
1133C2×C42—591no—
1134C2×C42—591no—
1135C2×C42—591no—
1136C2×C42—591no—
1137C2×C42C22×D5911yescharacteristic
1138C2×C42C22×D5911yescharacteristic
1139C2×C42C22×D5911yescharacteristic
1140C2×C42C22×D5911yescharacteristic
1141#95—591no—
1142#95—591no—
1143#95—591no—
1144#95—591no—
1145#95—591no—
1146#95—591no—
1147#95—591no—
1148#95—591no—
1149#95—591no—
1150#95—591no—
1151#95—591no—
1152#95—591no—
1153#95—591no—
1154#95—591no—
1155#95—591no—
1156#95—591no—
1157#95—591no—
1158#95—591no—
1159#95—591no—
1160#95—591no—
1161#95—591no—
1162#95—591no—
1163#95—591no—
1164#95—591no—
1165#95—591no—
1166#95—591no—
1167#95—591no—
1168#95—591no—
1169#95—591no—
1170#95—591no—
1171#95C22×D5911yescharacteristic
1172#95C22×D5911yescharacteristic
1173#95C22×D5911yescharacteristic
1174#95C22×D5911yescharacteristic
1175#95C22×D5911yescharacteristic
1176#95C22×D5911yescharacteristic
1177C24—591no—
1178C24—591no—
1179C24—591no—
1180C24—1182no—
1181C24—1182no—
1182C24—1182no—
1183C24—2361no—
1184C24—2361no—
1185C24—2361no—
1186C24—2361no—
1187C24C23×D5911yescharacteristic
1188C24C23×D5911yescharacteristic
1189C24C23×D5911yescharacteristic
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—594no—
1200C2×D4—1182no—
1201C2×D4—1182no—
1202C2×D4—1182no—
1203C2×D4—1182no—
1204C2×D4—1182no—
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—2361no—
1216C2×D4—2361no—
1217C2×D4—2361no—
1218C2×D4—2361no—
1219C2×D4—2361no—
1220C2×D4—2361no—
1221C2×D4—2361no—
1222C2×D4—2361no—
1223C2×D4—2361no—
1224C2×D4—2361no—
1225C2×D4—2361no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—41no—
1229C22×C4—591no—
1230C22×C4—591no—
1231C22×C4—591no—
1232C22×C4—591no—
1233C22×C4—591no—
1234C22×C4—591no—
1235C22×C4—591no—
1236C22×C4—591no—
1237C22×C4—591no—
1238C22×C4—591no—
1239C22×C4—591no—
1240C22×C4—591no—
1241C22×C4—591no—
1242C22×C4—1182no—
1243C22×C4—1182no—
1244C22×C4—1182no—
1245C22×C4—1182no—
1246C22×C4—1182no—
1247C22×C4—1182no—
1248C22×C4—1182no—
1249C22×C4—1182no—
1250C22×C4—1182no—
1251C22×C4—2361no—
1252C22×C4—2361no—
1253C22×C4—2361no—
1254C22×C4—2361no—
1255C22×C4—2361no—
1256C22×C4—2361no—
1257C22×C4—2361no—
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×C4—2361no—
1269C22×C4—2361no—
1270C22×C4—2361no—
1271C22×C4—2361no—
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
1281C22×C4C23×D5911yescharacteristic
1282C22×C4C23×D5911yescharacteristic
1283C22×C4C23×D5911yescharacteristic
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—1182no—
1292C4⋊C4—1182no—
1293C4⋊C4—1182no—
1294C4⋊C4—1182no—
1295C4⋊C4—1182no—
1296C4⋊C4—1182no—
1297C4⋊C4—1182no—
1298C4⋊C4—1182no—
1299C4⋊C4—1182no—
1300C4⋊C4—1182no—
1301C4⋊C4—2361no—
1302C4⋊C4—2361no—
1303C4⋊C4—2361no—
1304C4⋊C4—2361no—
1305C4⋊C4—2361no—
1306C4⋊C4—2361no—
1307C4⋊C4—2361no—
1308C4⋊C4—2361no—
1309C4⋊C4—2361no—
1310C4⋊C4—2361no—
1311C4⋊C4—2361no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—594no—
1327C22⋊C4—594no—
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—1182no—
1346C22⋊C4—1182no—
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—
1364C42—22no—
1365C42—22no—
1366C42—41no—
1367C42—41no—
1368C42—1182no—
1369C42—1182no—
1370C42—1182no—
1371C42—1182no—
1372C42—1182no—
1373C42—1182no—
1374C42—1182no—
1375C42—1182no—
1376C42—2361no—
1377C42—2361no—
1378C42—2361no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—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—4722no—
1421C23—4722no—
1422C23—4722no—
1423C23—4722no—
1424C23—2364no—
1425C23—2364no—
1426C23—2364no—
1427C23#41×D5912yes—
1428C23C24×D5911yescharacteristic
1429D4—44no—
1430D4—44no—
1431D4—82no—
1432D4—4722no—
1433D4—2364no—
1434D4—2364no—
1435D4—2364no—
1436D4—2364no—
1437D4—2364no—
1438D4—2364no—
1439D4—2364no—
1440D4—2364no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—44no—
1474C2×C4—592no—
1475C2×C4—592no—
1476C2×C4—592no—
1477C2×C4—592no—
1478C2×C4—1181no—
1479C2×C4—1181no—
1480C2×C4—1181no—
1481C2×C4—1181no—
1482C2×C4—1181no—
1483C2×C4—1181no—
1484C2×C4—1181no—
1485C2×C4—1181no—
1486C2×C4—1181no—
1487C2×C4—1181no—
1488C2×C4—1181no—
1489C2×C4—1181no—
1490C2×C4—1181no—
1491C2×C4—1181no—
1492C2×C4—1181no—
1493C2×C4—1181no—
1494C2×C4—1181no—
1495C2×C4—1181no—
1496C2×C4—1181no—
1497C2×C4—1181no—
1498C2×C4—1181no—
1499C2×C4—1181no—
1500C2×C4—1181no—
1501C2×C4—1181no—
1502C2×C4—1181no—
1503C2×C4—1181no—
1504C2×C4—1181no—
1505C2×C4—1181no—
1506C2×C4—1181no—
1507C2×C4—1181no—
1508C2×C4—1181no—
1509C2×C4—1181no—
1510C2×C4—1181no—
1511C2×C4—1181no—
1512C2×C4—1181no—
1513C2×C4—4722no—
1514C2×C4—4722no—
1515C2×C4—4722no—
1516C2×C4—4722no—
1517C2×C4—4722no—
1518C2×C4—4722no—
1519C2×C4—4722no—
1520C2×C4—4722no—
1521C2×C4—2364no—
1522C2×C4—2364no—
1523C2×C4#41×D5912yes—
1524C2×C4#41×D5912yes—
1525C2×C4#1427377212yes—
1526C2×C4#1427377312yes—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
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—1182no—
1549C22—1182no—
1550C22—1182no—
1551C22—1182no—
1552C22—1182no—
1553C22—1182no—
1554C22—1182no—
1555C22—1182no—
1556C22—1182no—
1557C22—4728no—
1558C22—2361no—
1559C22—2361no—
1560C22—2361no—
1561C22—2361no—
1562C22—2361no—
1563C22—2361no—
1564C22—2361no—
1565C22—2361no—
1566C22—2361no—
1567C22—2361no—
1568C22—2361no—
1569C22—2361no—
1570C22C2×#41×D5911yescharacteristic
1571C22C2×#41×D5911yescharacteristic
1572C22C2×#41×D5911yescharacteristic
1573C22H(5,𝔽2)×D5911yescharacteristic
1574C22C2×#1427377211yescharacteristic
1575C22C2×#1427377311yescharacteristic
1576C22#1683823711yescharacteristic
1577C4—22no—
1578C4—22no—
1579C4—22no—
1580C4—22no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—1182no—
1590C4—1182no—
1591C4—1182no—
1592C4—1182no—
1593C4—2361no—
1594C4—2361no—
1595C4—2361no—
1596C4—2361no—
1597C4—2361no—
1598C4—2361no—
1599C4—2361no—
1600C4—2361no—
1601C4—2361no—
1602C2—42no—
1603C2—81no—
1604C2—81no—
1605C2—2362no—
1606C2—2362no—
1607C2—2362no—
1608C2#2143769911yescharacteristic
1609C2#2143770211yescharacteristic
1610C2#2143770411yescharacteristic
1611C2#2143781811yescharacteristic
1612C2#2143782711yescharacteristic
1613C2#2143793411yescharacteristic
1614C2#2143842011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2554C2
prime radical#21430315C2
hypercenter#2554D59
hypocenterC59#60040
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2554

Complements

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

NH ≅ G/Ntype
1. #21431872C2semidirect
2. #21431868C2semidirect
3. #21430830C2semidirect
5. #21429725C2semidirect
6. #21429719C2semidirect
7. #21429679C2semidirect
8. #21429677C2semidirect
9. #21429444C2semidirect
10. #21429158C2semidirect
11. #21428987C2semidirect
12. #21428870C2semidirect
13. #21428867C2semidirect
14. #21428284C2semidirect
15. #21428281C2semidirect
16. #21428160C2semidirect
17. #21428158C2semidirect
18. #21428001C2semidirect
19. #21427999C2semidirect
20. #21427482C2semidirect
21. #21427478C2semidirect
22. #21427225C2semidirect
23. #21427117C2semidirect
24. #21427109C2semidirect
25. #21427078C2semidirect
26. #21427077C2semidirect
27. #21427076C2semidirect
28. #21426660C2semidirect
29. #21426592C2semidirect
30. #21426589C2semidirect
31. C59×#2554C2semidirect
33. C2×#14273720C22semidirect
43. C2×D4×Dic59C22semidirect
49. C2×(C22⋊D59)⋊C4C22semidirect
50. C2×(C22⋊D59)⋊C4C22semidirect
53. C2×C4⋊C4×D59C22semidirect
57. #16837342C22semidirect
58. #16837340C22semidirect
59. #16837335C22semidirect
60. #16837335C22semidirect
61. #16837334C22semidirect
62. #16837333C22semidirect
63. #16837332C22semidirect
64. #16837330C22semidirect
65. #16837327C22semidirect
76. #16837318C22semidirect
79. #16837317C22semidirect
81. #16837316C22semidirect
90. #16837302C22semidirect
91. #16837302C22semidirect
92. #16837299C22semidirect
93. #16837298C22semidirect
96. #16837296C22semidirect
97. #16837295C22semidirect
98. #16837295C22semidirect
99. #16837295C22semidirect
105. #16837293C22semidirect
109. #16837292C22semidirect
114. #16837290C22semidirect
115. #16837289C22semidirect
116. #16837289C22semidirect
117. #16837289C22semidirect
118. #16837288C22semidirect
119. #16837287C22semidirect
120. #16837287C22semidirect
121. #16837285C22semidirect
122. #16837285C22semidirect
123. #16837283C22semidirect
124. #16837283C22semidirect
138. #16837278C22semidirect
139. #16837278C22semidirect
141. #16837277C22semidirect
144. #16837276C22semidirect
147. #16837274C22semidirect
151. #16837273C22semidirect
152. #16837271C22semidirect
154. #16837263C22semidirect
155. #16837263C22semidirect
157. #16837259C22semidirect
159. C4×Dic59⋊C4C22semidirect
160. C4×Dic59⋊C4C22semidirect
161. C4×C4⋊Dic59C22semidirect
165. C4×(C2×D59)⋊C4C22semidirect
168. #16837249C22semidirect
169. #16837248C22semidirect
170. #16837248C22semidirect
171. C42×Dic59C22semidirect
172. C2×#126×C59C22semidirect
174. C59×#398C22semidirect
176. C59×#394C22semidirect
180. C59×#390C22semidirect
181. C59×#388C22semidirect
182. C59×#388C22semidirect
183. C59×#388C22semidirect
185. C4×C4⋊C4×C59C22semidirect
805. #2554D59semidirect
841. C2×#126C2×D59semidirect
873. #398C2×D59semidirect
893. #394C2×D59semidirect
907. #390C2×D59semidirect
931. #388C2×D59semidirect
932. #388C2×D59semidirect
933. #388C2×D59semidirect
982. C4×C4⋊C4C2×D59semidirect
994. C59#60040semidirect

Maximal subgroups

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

subgroupindex
#214318722
#214318682
#214308302
#214303152
#214297252
#214297192
#214296792
#214296772
#214294442
#214291582
#214289872
#214288702
#214288672
#214282842
#214282812
#214281602
#214281582
#214280012
#214279992
#214274822
#214274782
#214272252
#214271172
#214271092
#214270782
#214270772
#214270762
#214266602
#214265922
#214265892
C59×#25542
#6004059