Finite Group Databasebeta

← #28748603

Subgroups — #28748603

Order 15104.

2600 conjugacy classes of subgroups.

The subgroup lattice has 1544 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16838101C211yesmaximal, characteristic
2#21427228C211yesmaximal, characteristic, complemented
3#21427227C211yesmaximal, characteristic, complemented
4#21427216C211yesmaximal, characteristic, complemented
5#21427213C211yesmaximal, characteristic, complemented
6#21427187C211yesmaximal, characteristic, complemented
7#21427144C211yesmaximal, characteristic, complemented
8#21427143C211yesmaximal, characteristic, complemented
9#21427129C211yesmaximal, characteristic, complemented
10#21427107C211yesmaximal, characteristic, complemented
11#21427064C211yesmaximal, characteristic, complemented
12#21427030C211yesmaximal, characteristic, complemented
13#21427019C211yesmaximal, characteristic, complemented
14#21426984C211yesmaximal, characteristic, complemented
15#21426968C211yesmaximal, characteristic, complemented
16#21426653C211yesmaximal, characteristic, complemented
17#21426650C211yesmaximal, characteristic, complemented
18#21426644C211yesmaximal, characteristic, complemented
19#21426617C211yesmaximal, characteristic, complemented
20#21426613C211yesmaximal, characteristic, complemented
21#21426608C211yesmaximal, characteristic, complemented
22#21426606C211yesmaximal, characteristic, complemented
23#21426606C211yesmaximal, characteristic, complemented
24#21426602C211yesmaximal, characteristic, complemented
25C4×D4×Dic59C211yesmaximal, characteristic, complemented
26C4×(C22⋊D59)⋊C4C211yesmaximal, characteristic, complemented
27C4×(C22⋊D59)⋊C4C211yesmaximal, characteristic, complemented
28C4×(C22⋊D59)⋊C4C211yesmaximal, characteristic, complemented
29#21426435C211yesmaximal, characteristic, complemented
30C2×#16837253C211yesmaximal, characteristic, complemented
31C59×#2353C211yesmaximal, characteristic, complemented
32#16838101C4116yescomplemented
33C2×#14273721C2211yescharacteristic
34C2×#14273720C2211yescharacteristic
35C2×#14273717C2211yescharacteristic
36C2×#14273712C2211yescharacteristic
37C2×#14273710C2211yescharacteristic
38C2×#14273701C2211yescharacteristic
39C2×#14273700C2211yescharacteristic
40C2×#14273699C2211yescharacteristic
41C2×#14273699C2211yescharacteristic
42C2×D4×Dic59C2211yescharacteristic
43C2×D4×Dic59C2211yescharacteristic
44C2×#14273689C2211yescharacteristic
45C2×C4×C22⋊D59C2211yescharacteristic
46C2×C4×C22⋊D59C2211yescharacteristic
47C2×C4×C22⋊D59C2211yescharacteristic
48C2×(C22⋊D59)⋊C4C2211yescharacteristic
49C2×(C22⋊D59)⋊C4C2211yescharacteristic
50C2×(C22⋊D59)⋊C4C2211yescharacteristic
51C2×(C22⋊D59)⋊C4C2211yescharacteristic
52C2×(C22⋊D59)⋊C4C2211yescharacteristic
53C2×(C22⋊D59)⋊C4C2211yescharacteristic
54C2×(C22⋊D59)⋊C4C2211yescharacteristic
55C2×#14273684C2211yescharacteristic
56C2×#14273684C2211yescharacteristic
57C22×Dic59⋊C4C2211yescharacteristic
58C22×Dic59⋊C4C2211yescharacteristic
59C22×C4×Dic59C2211yescharacteristic
60C22×C4×Dic59C2211yescharacteristic
61C22×C4×Dic59C2211yescharacteristic
62C22×C4×Dic59C2211yescharacteristic
63C2×C42×D59C2211yescharacteristic
64C2×C42×D59C2211yescharacteristic
65#16837303C2211yescharacteristic
66#16837302C2211yescharacteristic
67#16837302C2211yescharacteristic
68#16837302C2211yescharacteristic
69#16837299C2211yescharacteristic
70#16837299C2211yescharacteristic
71#16837299C2211yescharacteristic
72#16837298C2211yescharacteristic
73#16837297C2211yescharacteristic
74#16837297C2211yescharacteristic
75#16837296C2211yescharacteristic
76#16837294C2211yescharacteristic
77#16837294C2211yescharacteristic
78#16837294C2211yescharacteristic
79#16837293C2211yescharacteristic
80#16837293C2211yescharacteristic
81#16837291C2211yescharacteristic
82#16837291C2211yescharacteristic
83#16837291C2211yescharacteristic
84#16837291C2211yescharacteristic
85#16837291C2211yescharacteristic
86#16837291C2211yescharacteristic
87#16837291C2211yescharacteristic
88#16837290C2211yescharacteristic
89#16837290C2211yescharacteristic
90#16837290C2211yescharacteristic
91#16837289C2211yescharacteristic
92#16837286C2211yescharacteristic
93#16837286C2211yescharacteristic
94#16837285C2211yescharacteristic
95#16837285C2211yescharacteristic
96#16837284C2211yescharacteristic
97#16837284C2211yescharacteristic
98#16837284C2211yescharacteristic
99#16837284C2211yescharacteristic
100#16837284C2211yescharacteristic
101#16837283C2211yescharacteristic
102#16837283C2211yescharacteristic
103#16837281C2211yescharacteristic
104#16837281C2211yescharacteristic
105#16837280C2211yescharacteristic
106#16837280C2211yescharacteristic
107#16837279C2211yescharacteristic
108#16837279C2211yescharacteristic
109#16837279C2211yescharacteristic
110#16837278C2211yescharacteristic
111#16837276C2211yescharacteristic
112#16837274C2211yescharacteristic
113#16837269C2211yescharacteristic
114#16837266C2211yescharacteristic
115#16837264C2211yescharacteristic
116#16837261C2211yescharacteristic
117#16837260C2211yescharacteristic
118#16837260C2211yescharacteristic
119C4⋊C4×Dic59C2211yescharacteristic
120C4⋊C4×Dic59C2211yescharacteristic
121C4⋊C4×Dic59C2211yescharacteristic
122C4×Dic59⋊C4C2211yescharacteristic
123C4×Dic59⋊C4C2211yescharacteristic
124C4×Dic59⋊C4C2211yescharacteristic
125C4×C4⋊Dic59C2211yescharacteristic
126#16837253C2211yescharacteristic
127#16837253C2211yescharacteristic
128#16837253C2211yescharacteristic
129#16837253C2211yescharacteristic
130#16837253C2211yescharacteristic
131#16837253C2211yescharacteristic
132#16837253C2211yescharacteristic
133#16837253C2211yescharacteristic
134#16837253C2211yescharacteristic
135#16837253C2211yescharacteristic
136#16837253C2211yescharacteristic
137#16837253C2211yescharacteristic
138#16837253C2211yescharacteristic
139#16837253C2211yescharacteristic
140#16837253C2211yescharacteristic
141#16837253C2211yescharacteristic
142#16837253C2211yescharacteristic
143C22⋊C4×Dic59C2211yescharacteristic
144C22⋊C4×Dic59C2211yescharacteristic
145C22⋊C4×Dic59C2211yescharacteristic
146C22⋊C4×Dic59C2211yescharacteristic
147C22⋊C4×Dic59C2211yescharacteristic
148C22⋊C4×Dic59C2211yescharacteristic
149C22⋊C4×Dic59C2211yescharacteristic
150C22⋊C4×Dic59C2211yescharacteristic
151C22⋊C4×Dic59C2211yescharacteristic
152C4×(C2×D59)⋊C4C2211yescharacteristic
153C4×(C2×D59)⋊C4C2211yescharacteristic
154C4×(C2×D59)⋊C4C2211yescharacteristic
155C4×C22⋊Dic59C2211yescharacteristic
156C4×C22⋊Dic59C2211yescharacteristic
157#16837249C2211yescharacteristic
158#16837249C2211yescharacteristic
159#16837249C2211yescharacteristic
160#16837249C2211yescharacteristic
161#16837249C2211yescharacteristic
162#16837249C2211yescharacteristic
163#16837249C2211yescharacteristic
164#16837249C2211yescharacteristic
165#16837249C2211yescharacteristic
166#16837249C2211yescharacteristic
167#16837249C2211yescharacteristic
168#16837248C2211yescharacteristic
169C2×C59⋊#95C2211yescharacteristic
170C42×Dic59C2211yescharacteristic
171C42×Dic59C2211yescharacteristic
172C42×Dic59C2211yescharacteristic
173C2×C4×D4×C59C2211yescharacteristic
174C59×#388C2211yescharacteristic
175C59×#388C2211yescharacteristic
176C59×#387C2211yescharacteristic
177C59×#387C2211yescharacteristic
178C59×#386C2211yescharacteristic
179C59×#386C2211yescharacteristic
180C59×#383C2211yescharacteristic
181C59×#381C2211yescharacteristic
182C59×#380C2211yescharacteristic
183C4×C22⋊C4×C59C2211yescharacteristic
184C4×C22⋊C4×C59C2211yescharacteristic
185C4×C22⋊C4×C59C2211yescharacteristic
186C59×#376C2211yescharacteristic
187C2×#95×C59C2211yescharacteristic
188C22×D236C2311yescharacteristic
189C22×C22⋊D59C2311yescharacteristic
190C22×C22⋊D59C2311yescharacteristic
191C22×C22⋊D59C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C23×Dic59C2311yescharacteristic
194C23×Dic59C2311yescharacteristic
195C23×Dic59C2311yescharacteristic
196C23×Dic59C2311yescharacteristic
197C23×Dic59C2311yescharacteristic
198C23×Dic59C2311yescharacteristic
199C22×C4×D59C2311yescharacteristic
200C22×C4×D59C2311yescharacteristic
201C22×C4×D59C2311yescharacteristic
202C22×C4×D59C2311yescharacteristic
203C22×C4×D59C2311yescharacteristic
204C22×C4×D59C2311yescharacteristic
205#14273721C2×C418yescomplemented
206#14273720C2×C418yescomplemented
207#14273717C2×C418yescomplemented
208#14273712C2×C418yescomplemented
209#14273710C2×C418yescomplemented
210#14273701C2×C418yescomplemented
211#14273700C2×C418yescomplemented
212#14273699C2×C418yescomplemented
213#14273699C2×C418yescomplemented
214D4×Dic59—24no—
215D4×Dic59—24no—
216#14273689—42no—
217C4×C22⋊D59—24no—
218C4×C22⋊D59—24no—
219C4×C22⋊D59C2×C418yescomplemented
220(C22⋊D59)⋊C4—24no—
221(C22⋊D59)⋊C4—24no—
222(C22⋊D59)⋊C4—24no—
223(C22⋊D59)⋊C4—24no—
224(C22⋊D59)⋊C4—42no—
225(C22⋊D59)⋊C4C2×C418yescomplemented
226(C22⋊D59)⋊C4C2×C418yescomplemented
227#14273684—24no—
228#14273684C2×C418yescomplemented
229C2×C4⋊Dic59C2311yescharacteristic
230C2×C4⋊Dic59C2311yescharacteristic
231C2×C4⋊Dic59C2311yescharacteristic
232C2×Dic59⋊C4—24no—
233C2×Dic59⋊C4C2×C418yescomplemented
234C2×Dic59⋊C4C2311yescharacteristic
235C2×Dic59⋊C4C2311yescharacteristic
236C2×Dic59⋊C4C2311yescharacteristic
237C2×Dic59⋊C4C2311yescharacteristic
238C2×Dic59⋊C4C2311yescharacteristic
239C2×Dic59⋊C4C2311yescharacteristic
240C2×Dic59⋊C4C2311yescharacteristic
241C2×Dic59⋊C4C2311yescharacteristic
242C2×Dic59⋊C4C2311yescharacteristic
243C2×Dic59⋊C4C2311yescharacteristic
244C2×Dic59⋊C4C2311yescharacteristic
245C2×Dic59⋊C4C2311yescharacteristic
246C2×Dic59⋊C4C2311yescharacteristic
247C2×Dic59⋊C4C2311yescharacteristic
248C2×Dic59⋊C4C2311yescharacteristic
249C2×Dic59⋊C4C2311yescharacteristic
250C2×Dic59⋊C4C2311yescharacteristic
251C2×Dic59⋊C4C2311yescharacteristic
252C2×Dic59⋊C4C2311yescharacteristic
253C2×Dic59⋊C4C2311yescharacteristic
254C2×C22⋊Dic59C2311yescharacteristic
255C2×C22⋊Dic59C2311yescharacteristic
256C2×C22⋊Dic59C2311yescharacteristic
257C2×C22⋊Dic59C2311yescharacteristic
258C2×C22⋊Dic59C2311yescharacteristic
259C2×C22⋊Dic59C2311yescharacteristic
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×C4×Dic59—24no—
279C2×C4×Dic59—42no—
280C2×C4×Dic59—42no—
281C2×C4×Dic59—42no—
282C2×C4×Dic59C2311yescharacteristic
283C2×C4×Dic59C2311yescharacteristic
284C2×C4×Dic59C2311yescharacteristic
285C2×C4×Dic59C2311yescharacteristic
286C2×C4×Dic59C2311yescharacteristic
287C2×C4×Dic59C2311yescharacteristic
288C2×C4×Dic59C2311yescharacteristic
289C2×C4×Dic59C2311yescharacteristic
290C2×C4×Dic59C2311yescharacteristic
291C2×C4×Dic59C2311yescharacteristic
292C2×C4×Dic59C2311yescharacteristic
293C2×C4×Dic59C2311yescharacteristic
294C2×C4×Dic59C2311yescharacteristic
295C2×C4×Dic59C2311yescharacteristic
296C2×C4×Dic59C2311yescharacteristic
297C2×C4×Dic59C2311yescharacteristic
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
311C2×C4×Dic59C2311yescharacteristic
312C42×D59—24no—
313C42×D59—42no—
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
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C59⋊#95C2311yescharacteristic
339C59⋊#95C2311yescharacteristic
340C22×D4×C59C2311yescharacteristic
341C23×C4×C59C2311yescharacteristic
342C23×C4×C59C2311yescharacteristic
343C23×C4×C59C2311yescharacteristic
344C23×C4×C59C2311yescharacteristic
345C4×D4×C59C2×C418yescomplemented
346C2×C4⋊C4×C59C2311yescharacteristic
347C2×C4⋊C4×C59C2311yescharacteristic
348C2×C4⋊C4×C59C2311yescharacteristic
349C2×C22⋊C4×C59C2311yescharacteristic
350C2×C22⋊C4×C59C2311yescharacteristic
351C2×C22⋊C4×C59C2311yescharacteristic
352C2×C22⋊C4×C59C2311yescharacteristic
353C2×C22⋊C4×C59C2311yescharacteristic
354C2×C22⋊C4×C59C2311yescharacteristic
355C2×C22⋊C4×C59C2311yescharacteristic
356C2×C22⋊C4×C59C2311yescharacteristic
357C2×C42×C59C2311yescharacteristic
358C2×C42×C59C2311yescharacteristic
359C2×C42×C59C2311yescharacteristic
360C2×C42×C59C2311yescharacteristic
361C2×C42×C59C2311yescharacteristic
362#95×C59C2311yescharacteristic
363#95×C59C2311yescharacteristic
364#95×C59C2311yescharacteristic
365#95×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369#95×C59C2311yescharacteristic
370#95×C59C2311yescharacteristic
371#95×C59C2311yescharacteristic
372#95×C59C2311yescharacteristic
373#95×C59C2311yescharacteristic
374#95×C59C2311yescharacteristic
375#95×C59C2311yescharacteristic
376C24×C59C2411yescharacteristic
377C24×C59C2411yescharacteristic
378C23×D59C2411yescharacteristic
379C23×D59C2411yescharacteristic
380C2×D4×C59—22no—
381C2×D4×C59—22no—
382C2×D4×C59C22×C414yes—
383C22×C4×C59—22no—
384C22×C4×C59—22no—
385C22×C4×C59—22no—
386C22×C4×C59—22no—
387C22×C4×C59—41no—
388C22×C4×C59—41no—
389C22×C4×C59—41no—
390C22×C4×C59—41no—
391C22×C4×C59—41no—
392C22×C4×C59—41no—
393C22×C4×C59C22×C414yes—
394C22×C4×C59C22×C414yes—
395C22×C4×C59C2411yescharacteristic
396C22×C4×C59C2411yescharacteristic
397C22×C4×C59C2411yescharacteristic
398C22×C4×C59C2411yescharacteristic
399C22×C4×C59C2411yescharacteristic
400C22×C4×C59C2411yescharacteristic
401C22×C4×C59C2411yescharacteristic
402C22×C4×C59C2411yescharacteristic
403C22×C4×C59C2411yescharacteristic
404C22×C4×C59C2411yescharacteristic
405C22×C4×C59C2411yescharacteristic
406C22×C4×C59C2411yescharacteristic
407C22×C4×C59C2411yescharacteristic
408C2×C22⋊D59—22no—
409C2×C22⋊D59—22no—
410C2×C22⋊D59—22no—
411C2×C22⋊D59—22no—
412C2×C22⋊D59—22no—
413C2×C22⋊D59—22no—
414C2×C22⋊D59—41no—
415C2×C22⋊D59—41no—
416C2×C22⋊D59C22×C414yes—
417C2×C22⋊D59C22×C414yes—
418C2×C22⋊D59C22×C414yes—
419C2×C22⋊D59C22×C414yes—
420C22×Dic59—22no—
421C22×Dic59—22no—
422C22×Dic59—22no—
423C22×Dic59—22no—
424C22×Dic59—22no—
425C22×Dic59—22no—
426C22×Dic59—22no—
427C22×Dic59—22no—
428C22×Dic59—22no—
429C22×Dic59—22no—
430C22×Dic59—22no—
431C22×Dic59—41no—
432C22×Dic59—41no—
433C22×Dic59—41no—
434C22×Dic59—41no—
435C22×Dic59C22×C414yes—
436C22×Dic59C22×C414yes—
437C22×Dic59#4114yes—
438C22×Dic59C2411yescharacteristic
439C22×Dic59C2411yescharacteristic
440C22×Dic59C2411yescharacteristic
441C22×Dic59C2411yescharacteristic
442C22×Dic59C2411yescharacteristic
443C22×Dic59C2411yescharacteristic
444C22×Dic59C2411yescharacteristic
445C22×Dic59C2411yescharacteristic
446C22×Dic59C2411yescharacteristic
447C22×Dic59C2411yescharacteristic
448C22×Dic59C2411yescharacteristic
449C22×Dic59C2411yescharacteristic
450C22×Dic59C2411yescharacteristic
451C22×Dic59C2411yescharacteristic
452C2×D236—41no—
453C2×D236—41no—
454C2×D236C22×C414yes—
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—22no—
463C2×C4×D59—22no—
464C2×C4×D59—22no—
465C2×C4×D59—22no—
466C2×C4×D59—22no—
467C2×C4×D59—41no—
468C2×C4×D59—41no—
469C2×C4×D59—41no—
470C2×C4×D59—41no—
471C2×C4×D59C22×C414yes—
472C2×C4×D59C22×C414yes—
473C4⋊C4×C59—41no—
474C4⋊C4×C59—41no—
475C4⋊C4×C59C22×C414yes—
476C22⋊C4×C59—22no—
477C22⋊C4×C59—22no—
478C22⋊C4×C59—22no—
479C22⋊C4×C59—22no—
480C22⋊C4×C59—41no—
481C22⋊C4×C59—41no—
482C22⋊C4×C59C22×C414yes—
483C22⋊C4×C59C22×C414yes—
484C42×C59—22no—
485C42×C59—22no—
486C42×C59—41no—
487C42×C59—41no—
488C42×C59C22×C414yes—
489C22⋊Dic59—22no—
490C22⋊Dic59—22no—
491C22⋊Dic59—22no—
492C22⋊Dic59C22×C414yes—
493C22⋊Dic59C22×C414yes—
494C22⋊Dic59#4114yes—
495(C2×D59)⋊C4—22no—
496(C2×D59)⋊C4—22no—
497(C2×D59)⋊C4—22no—
498(C2×D59)⋊C4—22no—
499(C2×D59)⋊C4—22no—
500(C2×D59)⋊C4—22no—
501(C2×D59)⋊C4—22no—
502(C2×D59)⋊C4—22no—
503(C2×D59)⋊C4—41no—
504(C2×D59)⋊C4—41no—
505(C2×D59)⋊C4—41no—
506(C2×D59)⋊C4—41no—
507(C2×D59)⋊C4C22×C414yes—
508(C2×D59)⋊C4C22×C414yes—
509(C2×D59)⋊C4C22×C414yes—
510(C2×D59)⋊C4C22×C414yes—
511(C2×D59)⋊C4C22×C414yes—
512(C2×D59)⋊C4C22×C414yes—
513C4⋊Dic59—22no—
514C4⋊Dic59—22no—
515C4⋊Dic59C22×C414yes—
516Dic59⋊C4—22no—
517Dic59⋊C4—22no—
518Dic59⋊C4—22no—
519Dic59⋊C4—22no—
520Dic59⋊C4—22no—
521Dic59⋊C4—22no—
522Dic59⋊C4—22no—
523Dic59⋊C4—22no—
524Dic59⋊C4—22no—
525Dic59⋊C4—41no—
526Dic59⋊C4—41no—
527Dic59⋊C4C22×C414yes—
528Dic59⋊C4C22×C414yes—
529Dic59⋊C4C22×C414yes—
530Dic59⋊C4C22×C414yes—
531Dic59⋊C4C22×C414yes—
532Dic59⋊C4C22×C414yes—
533Dic59⋊C4C22×C414yes—
534Dic59⋊C4C22×C414yes—
535Dic59⋊C4#4114yes—
536C4×Dic59—22no—
537C4×Dic59—22no—
538C4×Dic59—22no—
539C4×Dic59—22no—
540C4×Dic59—22no—
541C4×Dic59—22no—
542C4×Dic59—22no—
543C4×Dic59—22no—
544C4×Dic59—22no—
545C4×Dic59—22no—
546C4×Dic59—22no—
547C4×Dic59—22no—
548C4×Dic59—22no—
549C4×Dic59—22no—
550C4×Dic59—22no—
551C4×Dic59—22no—
552C4×Dic59—22no—
553C4×Dic59—22no—
554C4×Dic59—41no—
555C4×Dic59—41no—
556C4×Dic59—41no—
557C4×Dic59—41no—
558C4×Dic59—41no—
559C4×Dic59—41no—
560C4×Dic59—41no—
561C4×Dic59—41no—
562C4×Dic59—41no—
563C4×Dic59C22×C414yes—
564C4×Dic59C22×C414yes—
565C4×Dic59#4114yes—
566C23×C59—21no—
567C23×C59—21no—
568C23×C59—21no—
569C23×C59—21no—
570C23×C59—21no—
571C23×C59—21no—
572C23×C59—21no—
573C23×C59—21no—
574C23×C59—21no—
575C23×C59—21no—
576C23×C59C23×C412yes—
577C23×C59C23×C412yes—
578C23×C59C2×#4112yes—
579C23×C59C2×#4112yes—
580C23×C59C2511yescharacteristic
581C22×D59—21no—
582C22×D59—21no—
583C22×D59—21no—
584C22×D59—21no—
585C22×D59—21no—
586C22×D59—21no—
587C22×D59—21no—
588C22×D59—21no—
589C22×D59—21no—
590C22×D59—21no—
591C22×D59—21no—
592C22×D59—21no—
593C22×D59C23×C412yes—
594C22×D59C23×C412yes—
595D4×C59—28no—
596C2×C4×C59—21no—
597C2×C4×C59—21no—
598C2×C4×C59—21no—
599C2×C4×C59—21no—
600C2×C4×C59—21no—
601C2×C4×C59—21no—
602C2×C4×C59—21no—
603C2×C4×C59—21no—
604C2×C4×C59—21no—
605C2×C4×C59—21no—
606C2×C4×C59—21no—
607C2×C4×C59—21no—
608C2×C4×C59—21no—
609C2×C4×C59—21no—
610C2×C4×C59—21no—
611C2×C4×C59—21no—
612C2×C4×C59—21no—
613C2×C4×C59—21no—
614C2×C4×C59—21no—
615C2×C4×C59—21no—
616C2×C4×C59—21no—
617C2×C4×C59—21no—
618C2×C4×C59—21no—
619C2×C4×C59—21no—
620C2×C4×C59—21no—
621C2×C4×C59—21no—
622C2×C4×C59—21no—
623C2×C4×C59—21no—
624C2×C4×C59—21no—
625C2×C4×C59—21no—
626C2×C4×C59—21no—
627C2×C4×C59—21no—
628C2×C4×C59—44no—
629C2×C4×C59—44no—
630C2×C4×C59—44no—
631C2×C4×C59—44no—
632C2×C4×C59C23×C412yes—
633C2×C4×C59C23×C412yes—
634C2×C4×C59C23×C412yes—
635C2×C4×C59C23×C412yes—
636C2×C4×C59C23×C412yes—
637C2×C4×C59C2×#4112yes—
638C2×C4×C59C2×#4112yes—
639C22⋊D59—28no—
640C22⋊D59—28no—
641C22⋊D59—28no—
642C22⋊D59—44no—
643C2×Dic59—21no—
644C2×Dic59—21no—
645C2×Dic59—21no—
646C2×Dic59—21no—
647C2×Dic59—21no—
648C2×Dic59—21no—
649C2×Dic59—21no—
650C2×Dic59—21no—
651C2×Dic59—21no—
652C2×Dic59—21no—
653C2×Dic59—21no—
654C2×Dic59—21no—
655C2×Dic59—21no—
656C2×Dic59—21no—
657C2×Dic59—21no—
658C2×Dic59—21no—
659C2×Dic59—21no—
660C2×Dic59—21no—
661C2×Dic59—28no—
662C2×Dic59—28no—
663C2×Dic59—21no—
664C2×Dic59—21no—
665C2×Dic59—21no—
666C2×Dic59—21no—
667C2×Dic59—21no—
668C2×Dic59—21no—
669C2×Dic59—21no—
670C2×Dic59—21no—
671C2×Dic59—21no—
672C2×Dic59—44no—
673C2×Dic59—44no—
674C2×Dic59—44no—
675C2×Dic59—44no—
676C2×Dic59C23×C412yes—
677C2×Dic59C23×C412yes—
678C2×Dic59C23×C412yes—
679C2×Dic59C23×C412yes—
680C2×Dic59C23×C412yes—
681C2×Dic59C23×C412yes—
682C2×Dic59C2×#4112yes—
683C2×Dic59C2×#4112yes—
684C2×Dic59C2×#4112yes—
685C2×Dic59C2×#4112yes—
686C2×Dic59C2×#4112yes—
687C2×Dic59C2×#4112yes—
688C2×Dic59C2×#4112yes—
689C2×Dic59C2×#4112yes—
690C2×Dic59H(5,𝔽2)12yes—
691D236—44no—
692C4×D59—28no—
693C4×D59—44no—
694C4×D59—44no—
695C4×D59—44no—
696C4×D59—44no—
697C4×D59—44no—
698C4×#553—591nomaximal, Sylow
699C22×C59—22no—
700C22×C59—22no—
701C22×C59—22no—
702C22×C59—22no—
703C22×C59—22no—
704C22×C59—22no—
705C22×C59—22no—
706C22×C59—22no—
707C22×C59—22no—
708C22×C59—41no—
709C22×C59—41no—
710C22×C59—41no—
711C22×C59—41no—
712C22×C59C4×#4114yes—
713C22×C59C24×C411yescharacteristic
714C22×C59C22×#4111yescharacteristic
715C22×C59C22×#4111yescharacteristic
716C22×C59C22×#4111yescharacteristic
717C22×C59C22×#4111yescharacteristic
718C22×C59C2×H(5,𝔽2)11yescharacteristic
719C22×C59#58511yescharacteristic
720C2×D59—22no—
721C2×D59—22no—
722C2×D59—22no—
723C2×D59—22no—
724C2×D59—22no—
725C2×D59—22no—
726C2×D59—41no—
727C2×D59—41no—
728C2×D59—41no—
729C2×D59—41no—
730C2×D59—41no—
731C2×D59—41no—
732C2×D59—41no—
733C2×D59—41no—
734C4×C59—22no—
735C4×C59—22no—
736C4×C59—22no—
737C4×C59—22no—
738C4×C59—22no—
739C4×C59—22no—
740C4×C59—22no—
741C4×C59—41no—
742C4×C59—41no—
743C4×C59—41no—
744C4×C59—41no—
745C4×C59—41no—
746C4×C59—41no—
747Dic59—22no—
748Dic59—22no—
749Dic59—22no—
750Dic59—22no—
751Dic59—22no—
752Dic59—22no—
753Dic59—22no—
754Dic59—22no—
755Dic59—22no—
756Dic59—41no—
757Dic59—41no—
758Dic59—41no—
759Dic59C4×#4114yes—
760Dic59#55314yescomplemented
761C2×#553—591no—
762#2374—591no—
763#2374—591no—
764#2373—591no—
765#2373—591no—
766#2370—591no—
767#2364—591no—
768#2364—591no—
769#2363—591no—
770#2361—591no—
771#2357—591no—
772#2353—591no—
773#2353D5911yescharacteristic, complemented
774#2352—591no—
775#2347—591no—
776#2345—591no—
777C4×#125—591no—
778C4×#126—591no—
779C4×#126—591no—
780C4×#123—591no—
781C4×#123—591no—
782C4×#121—591no—
783C4×#121—591no—
784C4×#121—591no—
785C4×#121—591no—
786C42×D4—591no—
787C42×D4—591no—
788C42×D4—591no—
789C42×D4—591no—
790C4×#117—591no—
791C2×C4×C4⋊C4—591no—
792C2×C59—24no—
793C2×C59—42no—
794C2×C59C2×C4×#4111yescharacteristic
795C2×C59C2×C4×#4111yescharacteristic
796C2×C59C4×H(5,𝔽2)11yescharacteristic
797C2×C59C2×#55311yescharacteristic
798C2×C59#347511yescharacteristic
799C2×C59#348011yescharacteristic
800C2×C59#348111yescharacteristic
801D59—42no—
802D59—42no—
803#553—5916no—
804C2×#126—591no—
805C2×#126—591no—
806C2×#125—591no—
807C2×#123—591no—
808C2×#123—591no—
809C2×#121—591no—
810C2×#121—591no—
811C2×#121—591no—
812C2×#121—591no—
813C2×C4×D4—591no—
814C2×C4×D4—591no—
815C2×C4×D4—591no—
816C2×C4×D4—591no—
817C2×C4×D4—591no—
818C2×C4×D4—591no—
819C2×C4×D4—591no—
820C2×C4×D4—591no—
821C2×C4×D4—591no—
822C2×C4×D4—591no—
823C2×C4×D4—591no—
824C2×C4×D4—591no—
825C2×C4×D4—591no—
826C2×C4×D4C2×D5911yescharacteristic
827C2×#117—591no—
828C2×#117—591no—
829C22×C4⋊C4—591no—
830C22×C4⋊C4—591no—
831C22×C42—591no—
832C22×C42—591no—
833C22×C42—591no—
834C22×C42—591no—
835C22×C42—591no—
836C22×C42—591no—
837#390—591no—
838#390—591no—
839#390—591no—
840#390—591no—
841#389—591no—
842#389—591no—
843#389—591no—
844#389—591no—
845#389—591no—
846#389—591no—
847#388—591no—
848#388—591no—
849#388—591no—
850#388—591no—
851#388—591no—
852#388—591no—
853#388—591no—
854#388—591no—
855#388—591no—
856#388—591no—
857#388—591no—
858#388—591no—
859#388—591no—
860#388—591no—
861#388—591no—
862#388—591no—
863#388C2×D5911yescharacteristic
864#388C2×D5911yescharacteristic
865#387—591no—
866#387—591no—
867#387—591no—
868#387—591no—
869#387—591no—
870#387—591no—
871#387—591no—
872#387—591no—
873#387—591no—
874#387—591no—
875#387—591no—
876#387—591no—
877#387C2×D5911yescharacteristic
878#387C2×D5911yescharacteristic
879#386—591no—
880#386—591no—
881#386—591no—
882#386—591no—
883#386—591no—
884#386—591no—
885#386—591no—
886#386—591no—
887#386C2×D5911yescharacteristic
888#386C2×D5911yescharacteristic
889#385—591no—
890#385—591no—
891#383—591no—
892#383C2×D5911yescharacteristic
893#382—591no—
894#381—591no—
895#381C2×D5911yescharacteristic
896#380—591no—
897#380—591no—
898#380—591no—
899#380C2×D5911yescharacteristic
900C4×C4⋊C4—591no—
901C4×C4⋊C4—591no—
902C4×C4⋊C4—591no—
903C4×C4⋊C4—591no—
904C4×C4⋊C4—591no—
905C4×C4⋊C4—591no—
906C4×C4⋊C4—591no—
907C4×C4⋊C4—591no—
908C4×C4⋊C4—591no—
909C4×C4⋊C4—591no—
910C4×C4⋊C4—591no—
911C4×C4⋊C4—591no—
912C4×C4⋊C4—591no—
913C4×C4⋊C4—591no—
914C4×C4⋊C4—591no—
915C4×C4⋊C4—591no—
916C4×C4⋊C4—591no—
917C4×C4⋊C4—591no—
918C4×C4⋊C4—591no—
919C4×C4⋊C4—591no—
920C4×C4⋊C4—591no—
921C4×C4⋊C4—591no—
922C4×C4⋊C4—591no—
923C4×C4⋊C4—591no—
924C4×C22⋊C4—591no—
925C4×C22⋊C4—591no—
926C4×C22⋊C4—591no—
927C4×C22⋊C4—591no—
928C4×C22⋊C4—591no—
929C4×C22⋊C4—591no—
930C4×C22⋊C4—591no—
931C4×C22⋊C4—591no—
932C4×C22⋊C4—591no—
933C4×C22⋊C4—591no—
934C4×C22⋊C4—591no—
935C4×C22⋊C4—591no—
936C4×C22⋊C4—591no—
937C4×C22⋊C4—591no—
938C4×C22⋊C4—591no—
939C4×C22⋊C4—591no—
940C4×C22⋊C4—591no—
941C4×C22⋊C4—591no—
942C4×C22⋊C4—591no—
943C4×C22⋊C4—591no—
944C4×C22⋊C4—591no—
945C4×C22⋊C4—591no—
946C4×C22⋊C4—591no—
947C4×C22⋊C4—591no—
948C4×C22⋊C4—591no—
949C4×C22⋊C4C2×D5911yescharacteristic
950C4×C22⋊C4C2×D5911yescharacteristic
951C4×C22⋊C4C2×D5911yescharacteristic
952#376—591no—
953#376C2×D5911yescharacteristic
954C2×#95—591no—
955C2×#95C2×D5911yescharacteristic
956C43—591no—
957C43—591no—
958C43—591no—
959C59C4×#55311yescharacteristic, complemented, Sylow
960C22×D4—591no—
961C22×D4—591no—
962C22×D4—591no—
963C22×D4—591no—
964C22×D4—591no—
965C22×D4C22×D5911yescharacteristic
966C23×C4—591no—
967C23×C4—591no—
968C23×C4—591no—
969C23×C4—591no—
970C23×C4—591no—
971C23×C4—591no—
972C23×C4—591no—
973C23×C4—591no—
974C23×C4—591no—
975C23×C4—591no—
976C23×C4—591no—
977C23×C4—591no—
978C23×C4C22×D5911yescharacteristic
979C23×C4C22×D5911yescharacteristic
980C23×C4C22×D5911yescharacteristic
981C23×C4C22×D5911yescharacteristic
982#126—598no—
983#126—598no—
984#125—598no—
985#123—598no—
986#123—598no—
987#121—598no—
988#121—598no—
989#121—598no—
990#121—598no—
991C4×D4—598no—
992C4×D4—598no—
993C4×D4—598no—
994C4×D4—1184no—
995C4×D4—1184no—
996C4×D4—1184no—
997C4×D4—1184no—
998C4×D4—1184no—
999C4×D4—1184no—
1000C4×D4—1184no—
1001C4×D4—1184no—
1002C4×D4—2362no—
1003C4×D4—2362no—
1004C4×D4C4×D5918yescomplemented
1005#117—598no—
1006#117—1184no—
1007C2×C4⋊C4—598no—
1008C2×C4⋊C4—591no—
1009C2×C4⋊C4—591no—
1010C2×C4⋊C4—591no—
1011C2×C4⋊C4—591no—
1012C2×C4⋊C4—591no—
1013C2×C4⋊C4—591no—
1014C2×C4⋊C4—591no—
1015C2×C4⋊C4—591no—
1016C2×C4⋊C4—591no—
1017C2×C4⋊C4—591no—
1018C2×C4⋊C4—591no—
1019C2×C4⋊C4—591no—
1020C2×C4⋊C4—591no—
1021C2×C4⋊C4—591no—
1022C2×C4⋊C4—591no—
1023C2×C4⋊C4—591no—
1024C2×C4⋊C4—591no—
1025C2×C4⋊C4—591no—
1026C2×C4⋊C4—591no—
1027C2×C4⋊C4—591no—
1028C2×C4⋊C4—591no—
1029C2×C4⋊C4—591no—
1030C2×C4⋊C4—591no—
1031C2×C4⋊C4—1184no—
1032C2×C4⋊C4C22×D5911yescharacteristic
1033C2×C4⋊C4C22×D5911yescharacteristic
1034C2×C4⋊C4C22×D5911yescharacteristic
1035C2×C22⋊C4—591no—
1036C2×C22⋊C4—591no—
1037C2×C22⋊C4—591no—
1038C2×C22⋊C4—591no—
1039C2×C22⋊C4—591no—
1040C2×C22⋊C4—591no—
1041C2×C22⋊C4—591no—
1042C2×C22⋊C4—591no—
1043C2×C22⋊C4—591no—
1044C2×C22⋊C4—591no—
1045C2×C22⋊C4—591no—
1046C2×C22⋊C4—591no—
1047C2×C22⋊C4—591no—
1048C2×C22⋊C4—591no—
1049C2×C22⋊C4—591no—
1050C2×C22⋊C4—591no—
1051C2×C22⋊C4—591no—
1052C2×C22⋊C4—591no—
1053C2×C22⋊C4—591no—
1054C2×C22⋊C4—591no—
1055C2×C22⋊C4—591no—
1056C2×C22⋊C4—591no—
1057C2×C22⋊C4—591no—
1058C2×C22⋊C4—591no—
1059C2×C22⋊C4C22×D5911yescharacteristic
1060C2×C22⋊C4C22×D5911yescharacteristic
1061C2×C22⋊C4C22×D5911yescharacteristic
1062C2×C22⋊C4C22×D5911yescharacteristic
1063C2×C22⋊C4C22×D5911yescharacteristic
1064C2×C22⋊C4C22×D5911yescharacteristic
1065C2×C22⋊C4C22×D5911yescharacteristic
1066C2×C22⋊C4C22×D5911yescharacteristic
1067C2×C42—591no—
1068C2×C42—591no—
1069C2×C42—591no—
1070C2×C42—591no—
1071C2×C42—591no—
1072C2×C42—591no—
1073C2×C42—591no—
1074C2×C42—591no—
1075C2×C42—591no—
1076C2×C42—591no—
1077C2×C42—591no—
1078C2×C42—591no—
1079C2×C42—591no—
1080C2×C42—591no—
1081C2×C42—591no—
1082C2×C42—591no—
1083C2×C42—591no—
1084C2×C42—591no—
1085C2×C42—591no—
1086C2×C42—591no—
1087C2×C42—591no—
1088C2×C42—591no—
1089C2×C42—591no—
1090C2×C42—591no—
1091C2×C42—591no—
1092C2×C42—591no—
1093C2×C42—591no—
1094C2×C42—591no—
1095C2×C42—591no—
1096C2×C42—591no—
1097C2×C42—1184no—
1098C2×C42—1184no—
1099C2×C42—2362no—
1100C2×C42—2362no—
1101C2×C42—2362no—
1102C2×C42—2362no—
1103C2×C42C22×D5911yescharacteristic
1104C2×C42C22×D5911yescharacteristic
1105C2×C42C22×D5911yescharacteristic
1106C2×C42C22×D5911yescharacteristic
1107C2×C42C22×D5911yescharacteristic
1108#95—591no—
1109#95—591no—
1110#95—591no—
1111#95—591no—
1112#95—591no—
1113#95—591no—
1114#95—591no—
1115#95—591no—
1116#95—591no—
1117#95—591no—
1118#95—591no—
1119#95—591no—
1120#95—591no—
1121#95—591no—
1122#95—591no—
1123#95—591no—
1124#95—591no—
1125#95—591no—
1126#95—591no—
1127#95—591no—
1128#95—591no—
1129#95—591no—
1130#95—591no—
1131#95—591no—
1132#95—591no—
1133#95—591no—
1134#95C22×D5911yescharacteristic
1135#95C22×D5911yescharacteristic
1136#95C22×D5911yescharacteristic
1137#95C22×D5911yescharacteristic
1138#95C22×D5911yescharacteristic
1139#95C22×D5911yescharacteristic
1140#95C22×D5911yescharacteristic
1141#95C22×D5911yescharacteristic
1142#95C22×D5911yescharacteristic
1143#95C22×D5911yescharacteristic
1144#95C22×D5911yescharacteristic
1145#95C22×D5911yescharacteristic
1146#95C22×D5911yescharacteristic
1147#95C22×D5911yescharacteristic
1148C24—591no—
1149C24—591no—
1150C24C23×D5911yescharacteristic
1151C24C23×D5911yescharacteristic
1152C2×D4—22no—
1153C2×D4—22no—
1154C2×D4—594no—
1155C2×D4—594no—
1156C2×D4—594no—
1157C2×D4—594no—
1158C2×D4—594no—
1159C2×D4—1182no—
1160C2×D4—1182no—
1161C2×D4—1182no—
1162C2×D4—1182no—
1163C2×D4—1182no—
1164C2×D4—1182no—
1165C2×D4—2361no—
1166C2×D4—2361no—
1167C2×D4—2361no—
1168C2×D4—2361no—
1169C2×D4C2×C4×D5914yes—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—591no—
1181C22×C4—591no—
1182C22×C4—594no—
1183C22×C4—594no—
1184C22×C4—591no—
1185C22×C4—591no—
1186C22×C4—591no—
1187C22×C4—591no—
1188C22×C4—591no—
1189C22×C4—591no—
1190C22×C4—591no—
1191C22×C4—591no—
1192C22×C4—591no—
1193C22×C4—594no—
1194C22×C4—594no—
1195C22×C4—594no—
1196C22×C4—591no—
1197C22×C4—591no—
1198C22×C4—591no—
1199C22×C4—1182no—
1200C22×C4—1182no—
1201C22×C4—1182no—
1202C22×C4—1182no—
1203C22×C4—1182no—
1204C22×C4—1182no—
1205C22×C4—1182no—
1206C22×C4—1182no—
1207C22×C4—1182no—
1208C22×C4—1182no—
1209C22×C4—1182no—
1210C22×C4—1182no—
1211C22×C4—1182no—
1212C22×C4—1182no—
1213C22×C4—1182no—
1214C22×C4—1182no—
1215C22×C4—1182no—
1216C22×C4—1182no—
1217C22×C4—1182no—
1218C22×C4—1182no—
1219C22×C4—1182no—
1220C22×C4—1182no—
1221C22×C4—1182no—
1222C22×C4—2361no—
1223C22×C4—2361no—
1224C22×C4—2361no—
1225C22×C4—2361no—
1226C22×C4—2361no—
1227C22×C4—2361no—
1228C22×C4—2361no—
1229C22×C4—2361no—
1230C22×C4C2×C4×D5914yes—
1231C22×C4C2×C4×D5914yes—
1232C22×C4C23×D5911yescharacteristic
1233C22×C4C23×D5911yescharacteristic
1234C22×C4C23×D5911yescharacteristic
1235C22×C4C23×D5911yescharacteristic
1236C22×C4C23×D5911yescharacteristic
1237C22×C4C23×D5911yescharacteristic
1238C22×C4C23×D5911yescharacteristic
1239C22×C4C23×D5911yescharacteristic
1240C22×C4C23×D5911yescharacteristic
1241C22×C4C23×D5911yescharacteristic
1242C22×C4C23×D5911yescharacteristic
1243C22×C4C23×D5911yescharacteristic
1244C22×C4C23×D5911yescharacteristic
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—594no—
1248C4⋊C4—594no—
1249C4⋊C4—594no—
1250C4⋊C4—594no—
1251C4⋊C4—594no—
1252C4⋊C4—594no—
1253C4⋊C4—594no—
1254C4⋊C4—594no—
1255C4⋊C4—594no—
1256C4⋊C4—594no—
1257C4⋊C4—1182no—
1258C4⋊C4—1182no—
1259C4⋊C4—1182no—
1260C4⋊C4—1182no—
1261C4⋊C4—1182no—
1262C4⋊C4—1182no—
1263C4⋊C4—1182no—
1264C4⋊C4—1182no—
1265C4⋊C4—1182no—
1266C4⋊C4—1182no—
1267C4⋊C4—1182no—
1268C4⋊C4—2361no—
1269C4⋊C4—2361no—
1270C4⋊C4C2×C4×D5914yes—
1271C22⋊C4—22no—
1272C22⋊C4—22no—
1273C22⋊C4—22no—
1274C22⋊C4—22no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—594no—
1278C22⋊C4—594no—
1279C22⋊C4—594no—
1280C22⋊C4—594no—
1281C22⋊C4—594no—
1282C22⋊C4—594no—
1283C22⋊C4—594no—
1284C22⋊C4—594no—
1285C22⋊C4—594no—
1286C22⋊C4—1182no—
1287C22⋊C4—1182no—
1288C22⋊C4—1182no—
1289C22⋊C4—1182no—
1290C22⋊C4—1182no—
1291C22⋊C4—1182no—
1292C22⋊C4—1182no—
1293C22⋊C4—1182no—
1294C22⋊C4—1182no—
1295C22⋊C4—1182no—
1296C22⋊C4—1182no—
1297C22⋊C4—2361no—
1298C22⋊C4—2361no—
1299C22⋊C4—2361no—
1300C22⋊C4—2361no—
1301C22⋊C4C2×C4×D5914yes—
1302C22⋊C4C2×C4×D5914yes—
1303C42—22no—
1304C42—22no—
1305C42—41no—
1306C42—41no—
1307C42—594no—
1308C42—594no—
1309C42—594no—
1310C42—1182no—
1311C42—1182no—
1312C42—1182no—
1313C42—1182no—
1314C42—1182no—
1315C42—1182no—
1316C42—1182no—
1317C42—1182no—
1318C42—1182no—
1319C42—1182no—
1320C42—1182no—
1321C42—1182no—
1322C42—1182no—
1323C42—1182no—
1324C42—1182no—
1325C42—1182no—
1326C42—1182no—
1327C42—1182no—
1328C42—2361no—
1329C42—2361no—
1330C42—2361no—
1331C42—2361no—
1332C42—2361no—
1333C42—2361no—
1334C42—2361no—
1335C42—2361no—
1336C42—2361no—
1337C42C2×C4×D5914yes—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—592no—
1349C23—592no—
1350C23—1181no—
1351C23—1181no—
1352C23—1181no—
1353C23—1181no—
1354C23—1181no—
1355C23—1181no—
1356C23—1181no—
1357C23—1181no—
1358C23—1181no—
1359C23—1181no—
1360C23—1181no—
1361C23—1181no—
1362C23C22×C4×D5912yes—
1363C23C22×C4×D5912yes—
1364C23#41×D5912yes—
1365C23#41×D5912yes—
1366C23C24×D5911yescharacteristic
1367D4—28no—
1368D4—1188no—
1369D4—1188no—
1370D4—1188no—
1371D4—2364no—
1372D4—2364no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—44no—
1406C2×C4—44no—
1407C2×C4—44no—
1408C2×C4—44no—
1409C2×C4—592no—
1410C2×C4—592no—
1411C2×C4—592no—
1412C2×C4—592no—
1413C2×C4—592no—
1414C2×C4—592no—
1415C2×C4—592no—
1416C2×C4—592no—
1417C2×C4—592no—
1418C2×C4—592no—
1419C2×C4—592no—
1420C2×C4—592no—
1421C2×C4—592no—
1422C2×C4—592no—
1423C2×C4—592no—
1424C2×C4—1188no—
1425C2×C4—1188no—
1426C2×C4—1188no—
1427C2×C4—1181no—
1428C2×C4—1181no—
1429C2×C4—1181no—
1430C2×C4—1181no—
1431C2×C4—1181no—
1432C2×C4—1181no—
1433C2×C4—1181no—
1434C2×C4—1181no—
1435C2×C4—1181no—
1436C2×C4—1181no—
1437C2×C4—1181no—
1438C2×C4—1181no—
1439C2×C4—1181no—
1440C2×C4—1181no—
1441C2×C4—1181no—
1442C2×C4—1181no—
1443C2×C4—1181no—
1444C2×C4—1181no—
1445C2×C4—1181no—
1446C2×C4—1181no—
1447C2×C4—1181no—
1448C2×C4—1181no—
1449C2×C4—1181no—
1450C2×C4—1181no—
1451C2×C4—1181no—
1452C2×C4—1181no—
1453C2×C4—1181no—
1454C2×C4—2364no—
1455C2×C4—2364no—
1456C2×C4—2364no—
1457C2×C4—2364no—
1458C2×C4—2364no—
1459C2×C4—2364no—
1460C2×C4—2364no—
1461C2×C4—2364no—
1462C2×C4—2364no—
1463C2×C4C22×C4×D5912yes—
1464C2×C4C22×C4×D5912yes—
1465C2×C4C22×C4×D5912yes—
1466C2×C4C22×C4×D5912yes—
1467C2×C4C22×C4×D5912yes—
1468C2×C4#41×D5912yes—
1469C2×C4#41×D5912yes—
1470C22—22no—
1471C22—22no—
1472C22—22no—
1473C22—22no—
1474C22—22no—
1475C22—22no—
1476C22—22no—
1477C22—22no—
1478C22—22no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—1182no—
1484C22—1182no—
1485C22—1182no—
1486C22—1182no—
1487C22—1182no—
1488C22—1182no—
1489C22—2361no—
1490C22—2361no—
1491C22—2361no—
1492C22—2361no—
1493C22—2361no—
1494C22—2361no—
1495C22—2361no—
1496C22—2361no—
1497C22#1683787014yes—
1498C22C23×C4×D5911yescharacteristic
1499C22C2×#41×D5911yescharacteristic
1500C22C2×#41×D5911yescharacteristic
1501C22C2×#41×D5911yescharacteristic
1502C22C2×#41×D5911yescharacteristic
1503C22H(5,𝔽2)×D5911yescharacteristic
1504C22#1683823711yescharacteristic
1505C4—22no—
1506C4—22no—
1507C4—22no—
1508C4—22no—
1509C4—22no—
1510C4—22no—
1511C4—22no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—594no—
1519C4—594no—
1520C4—1182no—
1521C4—1182no—
1522C4—1182no—
1523C4—1182no—
1524C4—1182no—
1525C4—1182no—
1526C4—1182no—
1527C4—1182no—
1528C4—1182no—
1529C4—2361no—
1530C4—2361no—
1531C4—2361no—
1532C2—24no—
1533C2—42no—
1534C2—2362no—
1535C2—2362no—
1536C2C4×#41×D5911yescharacteristic
1537C2C2×#1683787011yescharacteristic
1538C2#2143730011yescharacteristic
1539C2#553×D5911yescharacteristic
1540C2#2143765111yescharacteristic
1541C2#2143769011yescharacteristic
1542C2#2143769911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutatorC22×C59C24×C4
FittingC59×#2353C2
socle, cosocleC23×C59C25
prime radicalC2×#16838101C2
hypercenter#2353D59
hypocenterC59C4×#553
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2353

Complements

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

NH ≅ G/Ntype
2. #21427228C2semidirect
3. #21427227C2semidirect
4. #21427216C2semidirect
5. #21427213C2semidirect
6. #21427187C2semidirect
7. #21427144C2semidirect
8. #21427143C2semidirect
9. #21427129C2semidirect
10. #21427107C2semidirect
11. #21427064C2semidirect
12. #21427030C2semidirect
13. #21427019C2semidirect
14. #21426984C2semidirect
15. #21426968C2semidirect
16. #21426653C2semidirect
17. #21426650C2semidirect
18. #21426644C2semidirect
19. #21426617C2semidirect
20. #21426613C2semidirect
21. #21426608C2semidirect
22. #21426606C2semidirect
23. #21426606C2semidirect
24. #21426602C2semidirect
25. C4×D4×Dic59C2semidirect
26. C4×(C22⋊D59)⋊C4C2semidirect
27. C4×(C22⋊D59)⋊C4C2semidirect
28. C4×(C22⋊D59)⋊C4C2semidirect
29. #21426435C2semidirect
30. C2×#16837253C2semidirect
31. C59×#2353C2semidirect
32. #16838101C4semidirect
205. #14273721C2×C4semidirect
206. #14273720C2×C4semidirect
207. #14273717C2×C4semidirect
208. #14273712C2×C4semidirect
209. #14273710C2×C4semidirect
210. #14273701C2×C4semidirect
211. #14273700C2×C4semidirect
212. #14273699C2×C4semidirect
213. #14273699C2×C4semidirect
219. C4×C22⋊D59C2×C4semidirect
225. (C22⋊D59)⋊C4C2×C4semidirect
226. (C22⋊D59)⋊C4C2×C4semidirect
228. #14273684C2×C4semidirect
233. C2×Dic59⋊C4C2×C4semidirect
345. C4×D4×C59C2×C4semidirect
760. Dic59#553semidirect
773. #2353D59semidirect
959. C59C4×#553semidirect
1004. C4×D4C4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168381012
#214272282
#214272272
#214272162
#214272132
#214271872
#214271442
#214271432
#214271292
#214271072
#214270642
#214270302
#214270192
#214269842
#214269682
#214266532
#214266502
#214266442
#214266172
#214266132
#214266082
#214266062
#214266022
C4×D4×Dic592
C4×(C22⋊D59)⋊C42
#214264352
C2×#168372532
C59×#23532
C4×#55359