Finite Group Databasebeta

← #28796583

Subgroups — #28796583

Order 15104.

2022 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432439C211yesmaximal, characteristic, complemented
2#21432402C211yesmaximal, characteristic, complemented
3#21432036C211yesmaximal, characteristic, complemented
4#21432025C211yesmaximal, characteristic, complemented
5#21431960C211yesmaximal, characteristic, complemented
6#21431949C211yesmaximal, characteristic, complemented
7#21431907C211yesmaximal, characteristic, complemented
8#21431899C211yesmaximal, characteristic, complemented
9#21431375C211yesmaximal, characteristic, complemented
10#21431371C211yesmaximal, characteristic, complemented
11#21431362C211yesmaximal, characteristic, complemented
12#21431358C211yesmaximal, characteristic, complemented
13#21430859C211yesmaximal, characteristic, complemented
14#21430847C211yesmaximal, characteristic, complemented
15#21430715C211yesmaximal, characteristic, complemented
16#21430712C211yesmaximal, characteristic, complemented
17#21430367C211yesmaximal, characteristic, complemented
18#21430358C211yesmaximal, characteristic, complemented
19#21429834C211yesmaximal, characteristic, complemented
20#21429834C211yesmaximal, characteristic, complemented
21#21427850C211yesmaximal, characteristic, complemented
22#21427842C211yesmaximal, characteristic, complemented
23#21427833C211yesmaximal, characteristic, complemented
24#21427825C211yesmaximal, characteristic, complemented
25#21427636C211yesmaximal, characteristic, complemented
26#21427632C211yesmaximal, characteristic, complemented
27#21427628C211yesmaximal, characteristic, complemented
28#21426797C211yesmaximal, characteristic, complemented
29#21426794C211yesmaximal, characteristic, complemented
30C2×#16837290C211yesmaximal, characteristic, complemented
31C59×#2424C211yesmaximal, characteristic, complemented
32C2×#14273723C2211yescharacteristic, complemented
33C2×#14273717C2211yescharacteristic, complemented
34C2×#14273710C2211yescharacteristic, complemented
35C2×#14273709C2211yescharacteristic, complemented
36C2×#14273701C2211yescharacteristic
37C2×#14273700C2211yescharacteristic
38C2×#14273699C2211yescharacteristic
39C2×#14273699C2211yescharacteristic
40C2×#14273699C2211yescharacteristic
41C2×#14273699C2211yescharacteristic
42C2×#14273699C2211yescharacteristic
43C2×#14273698C2211yescharacteristic
44C2×#14273696C2211yescharacteristic
45C2×#14273696C2211yescharacteristic
46C2×D4×Dic59C2211yescharacteristic
47C2×C4×C22⋊D59C2211yescharacteristic
48C2×(C22⋊D59)⋊C4C2211yescharacteristic
49C22×Dic59⋊C4C2211yescharacteristic
50C22×C22⋊Dic59C2211yescharacteristic
51C22×C22⋊Dic59C2211yescharacteristic
52C22×C4×Dic59C2211yescharacteristic
53#16837344C2211yescharacteristic, complemented
54#16837341C2211yescharacteristic, complemented
55#16837338C2211yescharacteristic, complemented
56#16837337C2211yescharacteristic, complemented
57#16837336C2211yescharacteristic, complemented
58#16837333C2211yescharacteristic, complemented
59#16837331C2211yescharacteristic, complemented
60#16837331C2211yescharacteristic, complemented
61#16837330C2211yescharacteristic
62#16837330C2211yescharacteristic
63#16837330C2211yescharacteristic
64#16837330C2211yescharacteristic
65#16837330C2211yescharacteristic, complemented
66#16837330C2211yescharacteristic, complemented
67#16837328C2211yescharacteristic, complemented
68#16837327C2211yescharacteristic, complemented
69#16837325C2211yescharacteristic
70#16837325C2211yescharacteristic
71#16837325C2211yescharacteristic
72#16837319C2211yescharacteristic, complemented
73#16837318C2211yescharacteristic
74#16837318C2211yescharacteristic
75#16837317C2211yescharacteristic
76#16837317C2211yescharacteristic
77#16837317C2211yescharacteristic
78#16837317C2211yescharacteristic
79#16837317C2211yescharacteristic
80#16837317C2211yescharacteristic
81#16837317C2211yescharacteristic, complemented
82#16837317C2211yescharacteristic, complemented
83#16837316C2211yescharacteristic
84#16837316C2211yescharacteristic
85#16837316C2211yescharacteristic
86#16837316C2211yescharacteristic
87#16837316C2211yescharacteristic
88#16837316C2211yescharacteristic
89#16837316C2211yescharacteristic, complemented
90#16837311C2211yescharacteristic
91#16837310C2211yescharacteristic
92#16837310C2211yescharacteristic
93#16837310C2211yescharacteristic
94#16837310C2211yescharacteristic
95#16837310C2211yescharacteristic
96#16837310C2211yescharacteristic
97#16837305C2211yescharacteristic
98#16837305C2211yescharacteristic, complemented
99#16837303C2211yescharacteristic, complemented
100#16837302C2211yescharacteristic
101#16837302C2211yescharacteristic
102#16837302C2211yescharacteristic, complemented
103#16837302C2211yescharacteristic, complemented
104#16837302C2211yescharacteristic, complemented
105#16837302C2211yescharacteristic, complemented
106#16837299C2211yescharacteristic, complemented
107#16837297C2211yescharacteristic, complemented
108#16837296C2211yescharacteristic
109#16837296C2211yescharacteristic, complemented
110#16837296C2211yescharacteristic, complemented
111#16837295C2211yescharacteristic
112#16837293C2211yescharacteristic, complemented
113#16837293C2211yescharacteristic, complemented
114#16837292C2211yescharacteristic, complemented
115#16837291C2211yescharacteristic, complemented
116#16837290C2211yescharacteristic
117#16837290C2211yescharacteristic
118#16837290C2211yescharacteristic
119#16837290C2211yescharacteristic
120#16837290C2211yescharacteristic
121#16837290C2211yescharacteristic
122#16837290C2211yescharacteristic
123#16837290C2211yescharacteristic
124#16837290C2211yescharacteristic
125#16837290C2211yescharacteristic, complemented
126#16837290C2211yescharacteristic, complemented
127#16837289C2211yescharacteristic, complemented
128#16837288C2211yescharacteristic, complemented
129#16837288C2211yescharacteristic, complemented
130#16837287C2211yescharacteristic, complemented
131#16837286C2211yescharacteristic, complemented
132#16837286C2211yescharacteristic, complemented
133#16837284C2211yescharacteristic, complemented
134#16837284C2211yescharacteristic, complemented
135#16837284C2211yescharacteristic, complemented
136#16837283C2211yescharacteristic, complemented
137#16837283C2211yescharacteristic, complemented
138#16837283C2211yescharacteristic, complemented
139#16837282C2211yescharacteristic
140#16837282C2211yescharacteristic
141#16837282C2211yescharacteristic
142#16837282C2211yescharacteristic
143#16837282C2211yescharacteristic, complemented
144#16837281C2211yescharacteristic
145#16837281C2211yescharacteristic, complemented
146#16837280C2211yescharacteristic, complemented
147#16837279C2211yescharacteristic
148#16837279C2211yescharacteristic
149#16837279C2211yescharacteristic
150#16837279C2211yescharacteristic, complemented
151#16837278C2211yescharacteristic
152#16837278C2211yescharacteristic
153#16837278C2211yescharacteristic, complemented
154#16837278C2211yescharacteristic, complemented
155#16837277C2211yescharacteristic
156#16837276C2211yescharacteristic, complemented
157#16837276C2211yescharacteristic, complemented
158#16837275C2211yescharacteristic
159#16837275C2211yescharacteristic, complemented
160#16837275C2211yescharacteristic, complemented
161#16837274C2211yescharacteristic
162#16837274C2211yescharacteristic, complemented
163#16837273C2211yescharacteristic, complemented
164#16837271C2211yescharacteristic, complemented
165#16837266C2211yescharacteristic, complemented
166#16837264C2211yescharacteristic, complemented
167#16837263C2211yescharacteristic, complemented
168#16837260C2211yescharacteristic
169#16837260C2211yescharacteristic
170C2×C59⋊#95C2211yescharacteristic
171C2×C59⋊#95C2211yescharacteristic
172C2×#121×C59C2211yescharacteristic
173C2×#121×C59C2211yescharacteristic
174C2×#120×C59C2211yescharacteristic
175C2×#120×C59C2211yescharacteristic
176C2×C4×D4×C59C2211yescharacteristic
177C22×C22⋊C4×C59C2211yescharacteristic
178C59×#396C2211yescharacteristic
179C59×#394C2211yescharacteristic
180C59×#394C2211yescharacteristic
181C59×#392C2211yescharacteristic
182C59×#390C2211yescharacteristic
183C59×#388C2211yescharacteristic
184C59×#386C2211yescharacteristic
185C59×#386C2211yescharacteristic
186C59×#385C2211yescharacteristic
187C22×D236C2311yescharacteristic
188C22×C22⋊D59C2311yescharacteristic
189C22×C22⋊D59C2311yescharacteristic
190C22×C22⋊D59C2311yescharacteristic
191C22×C22⋊D59C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C23×Dic59C2311yescharacteristic
199C23×Dic59C2311yescharacteristic
200C23×Dic59C2311yescharacteristic
201C23×Dic59C2311yescharacteristic
202C23×Dic59C2311yescharacteristic
203C22×C4×D59C2311yescharacteristic
204C22×C4×D59C2311yescharacteristic
205#14273723—42no—
206#14273717—42no—
207#14273710—42no—
208#14273709—42no—
209#14273701—42no—
210#14273700—42no—
211#14273699—24no—
212#14273699—24no—
213#14273699—42no—
214#14273699—42no—
215#14273699—42no—
216#14273698—42no—
217#14273696—42no—
218#14273696—42no—
219D4×Dic59—42no—
220C4×C22⋊D59—42no—
221(C22⋊D59)⋊C4—42no—
222C2×C4⋊Dic59C2311yescharacteristic
223C2×C4⋊Dic59C2311yescharacteristic
224C2×C4⋊Dic59C2311yescharacteristic
225C2×C4⋊Dic59C2311yescharacteristic
226C2×Dic59⋊C4—42no—
227C2×Dic59⋊C4C2311yescharacteristic
228C2×Dic59⋊C4C2311yescharacteristic
229C2×Dic59⋊C4C2311yescharacteristic
230C2×Dic59⋊C4C2311yescharacteristic
231C2×Dic59⋊C4C2311yescharacteristic
232C2×Dic59⋊C4C2311yescharacteristic
233C2×Dic59⋊C4C2311yescharacteristic
234C2×Dic59⋊C4C2311yescharacteristic
235C2×Dic59⋊C4C2311yescharacteristic
236C2×Dic59⋊C4C2311yescharacteristic
237C2×Dic59⋊C4C2311yescharacteristic
238C2×Dic59⋊C4C2311yescharacteristic
239C2×Dic59⋊C4C2311yescharacteristic
240C2×Dic59⋊C4C2311yescharacteristic
241C2×Dic59⋊C4C2311yescharacteristic
242C2×Dic59⋊C4C2311yescharacteristic
243C2×Dic59⋊C4C2311yescharacteristic
244C2×Dic59⋊C4C2311yescharacteristic
245C2×C22⋊Dic59—24no—
246C2×C22⋊Dic59—42no—
247C2×C22⋊Dic59C2311yescharacteristic
248C2×C22⋊Dic59C2311yescharacteristic
249C2×C22⋊Dic59C2311yescharacteristic
250C2×C22⋊Dic59C2311yescharacteristic
251C2×C22⋊Dic59C2311yescharacteristic
252C2×C22⋊Dic59C2311yescharacteristic
253C2×C22⋊Dic59C2311yescharacteristic
254C2×C22⋊Dic59C2311yescharacteristic
255C2×C22⋊Dic59C2311yescharacteristic
256C2×C22⋊Dic59C2311yescharacteristic
257C2×C22⋊Dic59C2311yescharacteristic
258C2×C22⋊Dic59C2311yescharacteristic
259C2×C22⋊Dic59C2311yescharacteristic
260C2×C22⋊Dic59C2311yescharacteristic
261C2×C22⋊Dic59C2311yescharacteristic
262C2×C22⋊Dic59C2311yescharacteristic
263C2×C22⋊Dic59C2311yescharacteristic
264C2×C22⋊Dic59C2311yescharacteristic
265C2×C22⋊Dic59C2311yescharacteristic
266C2×C22⋊Dic59C2311yescharacteristic
267C2×C22⋊Dic59C2311yescharacteristic
268C2×C22⋊Dic59C2311yescharacteristic
269C2×C22⋊Dic59C2311yescharacteristic
270C2×C22⋊Dic59C2311yescharacteristic
271C2×C22⋊Dic59C2311yescharacteristic
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×C4×Dic59—42no—
289C2×C4×Dic59C2311yescharacteristic
290C2×C4×Dic59C2311yescharacteristic
291C2×C4×Dic59C2311yescharacteristic
292C2×C4×Dic59C2311yescharacteristic
293C2×C4×Dic59C2311yescharacteristic
294C2×C4×Dic59C2311yescharacteristic
295C2×C4×Dic59C2311yescharacteristic
296C59⋊#95C2311yescharacteristic
297C59⋊#95C2311yescharacteristic
298C59⋊#95C2311yescharacteristic
299C59⋊#95C2311yescharacteristic
300C59⋊#95C2311yescharacteristic
301C59⋊#95C2311yescharacteristic
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
328C25×C59C2311yescharacteristic
329C22×D4×C59C2311yescharacteristic
330C22×D4×C59C2311yescharacteristic
331C22×D4×C59C2311yescharacteristic
332C22×D4×C59C2311yescharacteristic
333C22×D4×C59C2311yescharacteristic
334C22×D4×C59C2311yescharacteristic
335C22×D4×C59C2311yescharacteristic
336C23×C4×C59C2311yescharacteristic
337C23×C4×C59C2311yescharacteristic
338C23×C4×C59C2311yescharacteristic
339#121×C59—42no—
340#121×C59—42no—
341#120×C59—42no—
342#120×C59—42no—
343C4×D4×C59—42no—
344C2×C4⋊C4×C59C2311yescharacteristic
345C2×C4⋊C4×C59C2311yescharacteristic
346C2×C4⋊C4×C59C2311yescharacteristic
347C2×C4⋊C4×C59C2311yescharacteristic
348C2×C22⋊C4×C59—42no—
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×C22⋊C4×C59C2311yescharacteristic
360C2×C22⋊C4×C59C2311yescharacteristic
361C2×C22⋊C4×C59C2311yescharacteristic
362C2×C22⋊C4×C59C2311yescharacteristic
363C2×C22⋊C4×C59C2311yescharacteristic
364C2×C42×C59C2311yescharacteristic
365#95×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369C24×C59—22no—
370C24×C59—22no—
371C24×C59—22no—
372C24×C59—41no—
373C24×C59—41no—
374C24×C59—41no—
375C24×C59—41no—
376C24×C59C2411yescharacteristic
377C24×C59C2411yescharacteristic
378C24×C59C2411yescharacteristic
379C24×C59C2411yescharacteristic
380C24×C59C2411yescharacteristic
381C23×D59C2411yescharacteristic
382C23×D59C2411yescharacteristic
383C2×D4×C59—22no—
384C2×D4×C59—22no—
385C2×D4×C59—22no—
386C2×D4×C59—22no—
387C2×D4×C59—22no—
388C2×D4×C59—22no—
389C2×D4×C59—22no—
390C2×D4×C59—41no—
391C2×D4×C59—41no—
392C2×D4×C59—41no—
393C2×D4×C59—41no—
394C2×D4×C59—41no—
395C2×D4×C59—41no—
396C2×D4×C59—41no—
397C2×D4×C59—41no—
398C2×D4×C59—41no—
399C2×D4×C59—41no—
400C2×D4×C59—41no—
401C2×D4×C59—41no—
402C2×D4×C59—41no—
403C2×D4×C59—41no—
404C22×C4×C59—22no—
405C22×C4×C59—22no—
406C22×C4×C59—22no—
407C22×C4×C59—41no—
408C22×C4×C59—41no—
409C22×C4×C59—41no—
410C22×C4×C59—41no—
411C22×C4×C59—41no—
412C22×C4×C59—41no—
413C22×C4×C59C2411yescharacteristic
414C22×C4×C59C2411yescharacteristic
415C22×C4×C59C2411yescharacteristic
416C22×C4×C59C2411yescharacteristic
417C22×C4×C59C2411yescharacteristic
418C22×C4×C59C2411yescharacteristic
419C22×C4×C59C2411yescharacteristic
420C22×C4×C59C2411yescharacteristic
421C22×C4×C59C2411yescharacteristic
422C22×C4×C59C2411yescharacteristic
423C2×C22⋊D59—22no—
424C2×C22⋊D59—22no—
425C2×C22⋊D59—22no—
426C2×C22⋊D59—22no—
427C2×C22⋊D59—22no—
428C2×C22⋊D59—22no—
429C2×C22⋊D59—22no—
430C2×C22⋊D59—22no—
431C2×C22⋊D59—22no—
432C2×C22⋊D59—22no—
433C2×C22⋊D59—41no—
434C2×C22⋊D59—41no—
435C2×C22⋊D59—41no—
436C2×C22⋊D59—41no—
437C2×C22⋊D59—41no—
438C2×C22⋊D59—41no—
439C2×C22⋊D59—41no—
440C2×C22⋊D59—41no—
441C2×C22⋊D59—41no—
442C2×C22⋊D59—41no—
443C2×C22⋊D59—41no—
444C2×C22⋊D59—41no—
445C2×C22⋊D59—41no—
446C2×C22⋊D59—41no—
447C2×C22⋊D59—41no—
448C2×C22⋊D59—41no—
449C2×C22⋊D59—41no—
450C2×C22⋊D59—41no—
451C2×C22⋊D59—41no—
452C2×C22⋊D59—41no—
453C22×Dic59—22no—
454C22×Dic59—22no—
455C22×Dic59—22no—
456C22×Dic59—22no—
457C22×Dic59—41no—
458C22×Dic59—41no—
459C22×Dic59—41no—
460C22×Dic59—41no—
461C22×Dic59—41no—
462C22×Dic59—41no—
463C22×Dic59—41no—
464C22×Dic59—41no—
465C22×Dic59—41no—
466C22×Dic59—41no—
467C22×Dic59#4114yes—
468C22×Dic59C2411yescharacteristic
469C22×Dic59C2411yescharacteristic
470C22×Dic59C2411yescharacteristic
471C22×Dic59C2411yescharacteristic
472C22×Dic59C2411yescharacteristic
473C22×Dic59C2411yescharacteristic
474C22×Dic59C2411yescharacteristic
475C22×Dic59C2411yescharacteristic
476C22×Dic59C2411yescharacteristic
477C22×Dic59C2411yescharacteristic
478C22×Dic59C2411yescharacteristic
479C22×Dic59C2411yescharacteristic
480C22×Dic59C2411yescharacteristic
481C22×Dic59C2411yescharacteristic
482C2×D236—22no—
483C2×D236—41no—
484C2×D236—41no—
485C2×C4×D59—41no—
486C2×C4×D59—41no—
487C2×C4×D59—41no—
488C2×C4×D59—41no—
489C2×C4×D59—41no—
490C2×C4×D59—41no—
491C4⋊C4×C59—22no—
492C4⋊C4×C59—41no—
493C4⋊C4×C59—41no—
494C4⋊C4×C59—41no—
495C22⋊C4×C59—22no—
496C22⋊C4×C59—22no—
497C22⋊C4×C59—22no—
498C22⋊C4×C59—22no—
499C22⋊C4×C59—41no—
500C22⋊C4×C59—41no—
501C22⋊C4×C59—41no—
502C22⋊C4×C59—41no—
503C22⋊C4×C59—41no—
504C22⋊C4×C59—41no—
505C22⋊C4×C59—41no—
506C22⋊C4×C59—41no—
507C22⋊C4×C59—41no—
508C22⋊C4×C59—41no—
509C22⋊C4×C59—41no—
510C42×C59—41no—
511C22⋊Dic59—22no—
512C22⋊Dic59—22no—
513C22⋊Dic59—22no—
514C22⋊Dic59—22no—
515C22⋊Dic59—22no—
516C22⋊Dic59—22no—
517C22⋊Dic59—22no—
518C22⋊Dic59—22no—
519C22⋊Dic59—22no—
520C22⋊Dic59—22no—
521C22⋊Dic59—41no—
522C22⋊Dic59—41no—
523C22⋊Dic59—41no—
524C22⋊Dic59—41no—
525C22⋊Dic59—41no—
526C22⋊Dic59—41no—
527C22⋊Dic59—41no—
528C22⋊Dic59—41no—
529C22⋊Dic59—41no—
530C22⋊Dic59—41no—
531C22⋊Dic59—41no—
532C22⋊Dic59—41no—
533C22⋊Dic59—41no—
534C22⋊Dic59—41no—
535C22⋊Dic59—41no—
536(C2×D59)⋊C4—22no—
537(C2×D59)⋊C4—22no—
538(C2×D59)⋊C4—41no—
539(C2×D59)⋊C4—41no—
540(C2×D59)⋊C4—41no—
541(C2×D59)⋊C4—41no—
542(C2×D59)⋊C4—41no—
543(C2×D59)⋊C4—41no—
544(C2×D59)⋊C4—41no—
545(C2×D59)⋊C4—41no—
546(C2×D59)⋊C4—41no—
547(C2×D59)⋊C4—41no—
548(C2×D59)⋊C4—41no—
549(C2×D59)⋊C4—41no—
550(C2×D59)⋊C4—41no—
551(C2×D59)⋊C4—41no—
552C4⋊Dic59—22no—
553C4⋊Dic59—41no—
554C4⋊Dic59—41no—
555C4⋊Dic59—41no—
556Dic59⋊C4—22no—
557Dic59⋊C4—22no—
558Dic59⋊C4—22no—
559Dic59⋊C4—22no—
560Dic59⋊C4—22no—
561Dic59⋊C4—22no—
562Dic59⋊C4—41no—
563Dic59⋊C4—41no—
564Dic59⋊C4—41no—
565Dic59⋊C4—41no—
566Dic59⋊C4—41no—
567Dic59⋊C4—41no—
568Dic59⋊C4—41no—
569Dic59⋊C4—41no—
570Dic59⋊C4—41no—
571Dic59⋊C4—41no—
572Dic59⋊C4—41no—
573Dic59⋊C4—41no—
574C4×Dic59—22no—
575C4×Dic59—22no—
576C4×Dic59—41no—
577C4×Dic59—41no—
578C4×Dic59—41no—
579C4×Dic59—41no—
580C4×Dic59—41no—
581C23×C59—21no—
582C23×C59—21no—
583C23×C59—21no—
584C23×C59—21no—
585C23×C59—21no—
586C23×C59—21no—
587C23×C59—21no—
588C23×C59—21no—
589C23×C59—21no—
590C23×C59—21no—
591C23×C59—21no—
592C23×C59—21no—
593C23×C59—21no—
594C23×C59—21no—
595C23×C59—21no—
596C23×C59—21no—
597C23×C59—21no—
598C23×C59—21no—
599C23×C59—21no—
600C23×C59—21no—
601C23×C59—21no—
602C23×C59—21no—
603C23×C59—21no—
604C23×C59—21no—
605C23×C59—21no—
606C23×C59—21no—
607C23×C59—21no—
608C23×C59—21no—
609C23×C59—21no—
610C23×C59—21no—
611C23×C59—21no—
612C23×C59—21no—
613C23×C59—44no—
614C23×C59—44no—
615C23×C59—44no—
616C23×C59—82no—
617C23×C59—82no—
618C23×C59—82no—
619C23×C59—82no—
620C23×C59C2×#4112yes—
621C23×C59H(5,𝔽2)12yes—
622C23×C59H(5,𝔽2)12yes—
623C23×C59C2511yescharacteristic
624C22×D59—21no—
625C22×D59—21no—
626C22×D59—21no—
627C22×D59—21no—
628C22×D59—21no—
629C22×D59—21no—
630C22×D59—21no—
631C22×D59—21no—
632C22×D59—21no—
633C22×D59—21no—
634C22×D59—21no—
635C22×D59—21no—
636C22×D59—21no—
637C22×D59—21no—
638D4×C59—44no—
639D4×C59—44no—
640D4×C59—82no—
641D4×C59—82no—
642D4×C59—82no—
643D4×C59—82no—
644D4×C59—82no—
645C2×C4×C59—21no—
646C2×C4×C59—21no—
647C2×C4×C59—21no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—21no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59—21no—
665C2×C4×C59—21no—
666C2×C4×C59—21no—
667C2×C4×C59—21no—
668C2×C4×C59—21no—
669C2×C4×C59—21no—
670C2×C4×C59—21no—
671C2×C4×C59—21no—
672C2×C4×C59—21no—
673C2×C4×C59—21no—
674C2×C4×C59—44no—
675C2×C4×C59—82no—
676C2×C4×C59—82no—
677C2×C4×C59H(5,𝔽2)12yes—
678C22⋊D59—44no—
679C22⋊D59—44no—
680C22⋊D59—82no—
681C22⋊D59—82no—
682C22⋊D59—82no—
683C22⋊D59—82no—
684C22⋊D59—82no—
685C22⋊D59—82no—
686C22⋊D59—82no—
687C22⋊D59—82no—
688C2×Dic59—21no—
689C2×Dic59—21no—
690C2×Dic59—21no—
691C2×Dic59—21no—
692C2×Dic59—21no—
693C2×Dic59—21no—
694C2×Dic59—21no—
695C2×Dic59—21no—
696C2×Dic59—21no—
697C2×Dic59—21no—
698C2×Dic59—21no—
699C2×Dic59—21no—
700C2×Dic59—21no—
701C2×Dic59—21no—
702C2×Dic59—21no—
703C2×Dic59—21no—
704C2×Dic59—21no—
705C2×Dic59—21no—
706C2×Dic59—21no—
707C2×Dic59—21no—
708C2×Dic59—21no—
709C2×Dic59—21no—
710C2×Dic59—21no—
711C2×Dic59—21no—
712C2×Dic59—21no—
713C2×Dic59—21no—
714C2×Dic59—21no—
715C2×Dic59—21no—
716C2×Dic59—21no—
717C2×Dic59—21no—
718C2×Dic59—21no—
719C2×Dic59—21no—
720C2×Dic59—21no—
721C2×Dic59—21no—
722C2×Dic59—21no—
723C2×Dic59—21no—
724C2×Dic59—21no—
725C2×Dic59—21no—
726C2×Dic59—21no—
727C2×Dic59—44no—
728C2×Dic59—44no—
729C2×Dic59—44no—
730C2×Dic59—82no—
731C2×Dic59—82no—
732C2×Dic59C2×#4112yes—
733C2×Dic59C2×#4112yes—
734C2×Dic59H(5,𝔽2)12yes—
735D236—82no—
736C4×D59—82no—
737C4×D59—82no—
738#36759—591nomaximal, Sylow
739C22×C59—22no—
740C22×C59—22no—
741C22×C59—22no—
742C22×C59—22no—
743C22×C59—22no—
744C22×C59—22no—
745C22×C59—41no—
746C22×C59—41no—
747C22×C59—41no—
748C22×C59—41no—
749C22×C59—41no—
750C22×C59—41no—
751C22×C59—41no—
752C22×C59—41no—
753C22×C59—41no—
754C22×C59—41no—
755C22×C59—41no—
756C22×C59—41no—
757C22×C59—41no—
758C22×C59—41no—
759C22×C59—41no—
760C22×C59—41no—
761C22×C59—41no—
762C22×C59—41no—
763C22×C59—41no—
764C22×C59—41no—
765C22×C59—41no—
766C22×C59—41no—
767C22×C59—41no—
768C22×C59—41no—
769C22×C59—41no—
770C22×C59—41no—
771C22×C59—41no—
772C22×C59—41no—
773C22×C59—88no—
774C22×C59#54014yes—
775C22×C59C22×#4111yescharacteristic
776C22×C59C2×H(5,𝔽2)11yescharacteristic
777C22×C59C2×H(5,𝔽2)11yescharacteristic
778C22×C59C2×H(5,𝔽2)11yescharacteristic
779C22×C59C2×H(5,𝔽2)11yescharacteristic
780C22×C59#58511yescharacteristic
781C22×C59#58511yescharacteristic
782C2×D59—41no—
783C2×D59—41no—
784C2×D59—41no—
785C2×D59—41no—
786C2×D59—41no—
787C2×D59—41no—
788C2×D59—41no—
789C2×D59—41no—
790C2×D59—41no—
791C2×D59—41no—
792C2×D59—41no—
793C2×D59—41no—
794C2×D59—41no—
795C2×D59—41no—
796C4×C59—22no—
797C4×C59—41no—
798C4×C59—41no—
799C4×C59—41no—
800C4×C59—41no—
801C4×C59—41no—
802C4×C59—41no—
803C4×C59—41no—
804C4×C59—41no—
805C4×C59—41no—
806Dic59—22no—
807Dic59—22no—
808Dic59—22no—
809Dic59—41no—
810Dic59—41no—
811Dic59—41no—
812Dic59—41no—
813Dic59—41no—
814Dic59—41no—
815Dic59—41no—
816Dic59—41no—
817Dic59—41no—
818Dic59—41no—
819Dic59—41no—
820#2856—591no—
821#2851—591no—
822#2803—591no—
823#2803—591no—
824#2797—591no—
825#2797—591no—
826#2793—591no—
827#2793—591no—
828#2753—591no—
829#2753—591no—
830#2752—591no—
831#2752—591no—
832#2711—591no—
833#2711—591no—
834#2701—591no—
835#2701—591no—
836#2673—591no—
837#2673—591no—
838#2617—591no—
839#2617—591no—
840#2444—591no—
841#2444—591no—
842#2443—591no—
843#2443—591no—
844#2424—591no—
845#2424—591no—
846#2424—591no—
847#2424D5911yescharacteristic, complemented
848#2325—591no—
849#2325—591no—
850C2×#388—591no—
851C2×C59—24no—
852C2×C59—81no—
853C2×C59—81no—
854C2×C59—81no—
855C2×C59—81no—
856C2×C59C2×#54011yescharacteristic
857C2×C59#350511yescharacteristic
858C2×C59#350611yescharacteristic
859C2×C59#353411yescharacteristic
860C2×C59#353711yescharacteristic
861C2×C59#355811yescharacteristic
862C2×C59#356011yescharacteristic
863D59—81no—
864D59—81no—
865C2×#127—591no—
866C2×#125—591no—
867C2×#123—591no—
868C2×#123—591no—
869C2×#121—591no—
870C2×#121—591no—
871C2×#121—591no—
872C2×#121—591no—
873C2×#121—591no—
874C2×#121—591no—
875C2×#121—591no—
876C2×#121—591no—
877C2×#121C2×D5911yescharacteristic
878C2×#121C2×D5911yescharacteristic
879C2×#120—591no—
880C2×#120—591no—
881C2×#120C2×D5911yescharacteristic
882C2×#120C2×D5911yescharacteristic
883C2×C4×D4—591no—
884C2×C4×D4—591no—
885C2×C4×D4—591no—
886C2×C4×D4C2×D5911yescharacteristic
887C22×C4⋊C4—591no—
888C22×C22⋊C4—591no—
889C22×C22⋊C4—591no—
890C22×C22⋊C4C2×D5911yescharacteristic
891C22×C42—591no—
892#400—591no—
893#400—591no—
894#399—591no—
895#399—591no—
896#398—591no—
897#398—591no—
898#397—591no—
899#397—591no—
900#397—591no—
901#397—591no—
902#397—591no—
903#397—591no—
904#397—591no—
905#397—591no—
906#397—591no—
907#397—591no—
908#396—591no—
909#396—591no—
910#396—591no—
911#396C2×D5911yescharacteristic
912#394—591no—
913#394—591no—
914#394—591no—
915#394—591no—
916#394—591no—
917#394—591no—
918#394—591no—
919#394—591no—
920#394—591no—
921#394—591no—
922#394—591no—
923#394—591no—
924#394—591no—
925#394—591no—
926#394—591no—
927#394—591no—
928#394—591no—
929#394—591no—
930#394C2×D5911yescharacteristic
931#394C2×D5911yescharacteristic
932#392—591no—
933#392—591no—
934#392—591no—
935#392—591no—
936#392—591no—
937#392—591no—
938#392—591no—
939#392C2×D5911yescharacteristic
940#390—591no—
941#390—591no—
942#390—591no—
943#390—591no—
944#390—591no—
945#390—591no—
946#390—591no—
947#390—591no—
948#390—591no—
949#390C2×D5911yescharacteristic
950#389—591no—
951#389—591no—
952#388—591no—
953#388—591no—
954#388—591no—
955#388—591no—
956#388—591no—
957#388—591no—
958#388—591no—
959#388—591no—
960#388—591no—
961#388—591no—
962#388—591no—
963#388—591no—
964#388—591no—
965#388—591no—
966#388—591no—
967#388—591no—
968#388—591no—
969#388—591no—
970#388—591no—
971#388C2×D5911yescharacteristic
972#387—591no—
973#387—591no—
974#387—591no—
975#387—591no—
976#387—591no—
977#387—591no—
978#387—591no—
979#387—591no—
980#387—591no—
981#387—591no—
982#387—591no—
983#387—591no—
984#386—591no—
985#386—591no—
986#386—591no—
987#386—591no—
988#386—591no—
989#386—591no—
990#386—591no—
991#386—591no—
992#386—591no—
993#386—591no—
994#386—591no—
995#386—591no—
996#386—591no—
997#386—591no—
998#386—591no—
999#386—591no—
1000#386C2×D5911yescharacteristic
1001#386C2×D5911yescharacteristic
1002#385—591no—
1003#385—591no—
1004#385—591no—
1005#385—591no—
1006#385—591no—
1007#385—591no—
1008#385—591no—
1009#385—591no—
1010#385—591no—
1011#385C2×D5911yescharacteristic
1012#384—591no—
1013#382—591no—
1014#381—591no—
1015#381—591no—
1016#380—591no—
1017#380—591no—
1018C2×#95—591no—
1019C2×#95—591no—
1020C59#3675911yescharacteristic, complemented, Sylow
1021C25C22×D5911yescharacteristic
1022C22×D4—591no—
1023C22×D4—591no—
1024C22×D4—591no—
1025C22×D4—591no—
1026C22×D4—591no—
1027C22×D4—591no—
1028C22×D4—591no—
1029C22×D4—591no—
1030C22×D4—591no—
1031C22×D4—591no—
1032C22×D4—591no—
1033C22×D4C22×D5911yescharacteristic
1034C22×D4C22×D5911yescharacteristic
1035C22×D4C22×D5911yescharacteristic
1036C22×D4C22×D5911yescharacteristic
1037C22×D4C22×D5911yescharacteristic
1038C22×D4C22×D5911yescharacteristic
1039C22×D4C22×D5911yescharacteristic
1040C23×C4—591no—
1041C23×C4—591no—
1042C23×C4—591no—
1043C23×C4—591no—
1044C23×C4—591no—
1045C23×C4—591no—
1046C23×C4—591no—
1047C23×C4C22×D5911yescharacteristic
1048C23×C4C22×D5911yescharacteristic
1049C23×C4C22×D5911yescharacteristic
1050#127—2362no—
1051#125—2362no—
1052#123—2362no—
1053#123—2362no—
1054#121—42no—
1055#121—42no—
1056#121—1184no—
1057#121—1184no—
1058#121—2362no—
1059#121—2362no—
1060#121—2362no—
1061#121—2362no—
1062#121—2362no—
1063#121—2362no—
1064#120—42no—
1065#120—42no—
1066#120—2362no—
1067#120—2362no—
1068C4×D4—42no—
1069C4×D4—2362no—
1070C4×D4—2362no—
1071C4×D4—2362no—
1072C2×C4⋊C4—591no—
1073C2×C4⋊C4—591no—
1074C2×C4⋊C4—591no—
1075C2×C4⋊C4—591no—
1076C2×C4⋊C4—591no—
1077C2×C4⋊C4—591no—
1078C2×C4⋊C4—591no—
1079C2×C4⋊C4—591no—
1080C2×C4⋊C4—591no—
1081C2×C4⋊C4—591no—
1082C2×C4⋊C4—591no—
1083C2×C4⋊C4—591no—
1084C2×C4⋊C4—591no—
1085C2×C4⋊C4—591no—
1086C2×C4⋊C4—591no—
1087C2×C4⋊C4—591no—
1088C2×C4⋊C4—591no—
1089C2×C4⋊C4—591no—
1090C2×C4⋊C4—591no—
1091C2×C4⋊C4—591no—
1092C2×C4⋊C4—591no—
1093C2×C4⋊C4—591no—
1094C2×C4⋊C4—2362no—
1095C2×C4⋊C4C22×D5911yescharacteristic
1096C2×C4⋊C4C22×D5911yescharacteristic
1097C2×C4⋊C4C22×D5911yescharacteristic
1098C2×C4⋊C4C22×D5911yescharacteristic
1099C2×C22⋊C4—42no—
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—591no—
1115C2×C22⋊C4—591no—
1116C2×C22⋊C4—591no—
1117C2×C22⋊C4—591no—
1118C2×C22⋊C4—591no—
1119C2×C22⋊C4—591no—
1120C2×C22⋊C4—591no—
1121C2×C22⋊C4—591no—
1122C2×C22⋊C4—591no—
1123C2×C22⋊C4—591no—
1124C2×C22⋊C4—591no—
1125C2×C22⋊C4—591no—
1126C2×C22⋊C4—591no—
1127C2×C22⋊C4—591no—
1128C2×C22⋊C4—591no—
1129C2×C22⋊C4—591no—
1130C2×C22⋊C4—591no—
1131C2×C22⋊C4—591no—
1132C2×C22⋊C4—591no—
1133C2×C22⋊C4—591no—
1134C2×C22⋊C4—591no—
1135C2×C22⋊C4—591no—
1136C2×C22⋊C4—591no—
1137C2×C22⋊C4—591no—
1138C2×C22⋊C4—591no—
1139C2×C22⋊C4—591no—
1140C2×C22⋊C4—591no—
1141C2×C22⋊C4—1184no—
1142C2×C22⋊C4—2362no—
1143C2×C22⋊C4C22×D5911yescharacteristic
1144C2×C22⋊C4C22×D5911yescharacteristic
1145C2×C22⋊C4C22×D5911yescharacteristic
1146C2×C22⋊C4C22×D5911yescharacteristic
1147C2×C22⋊C4C22×D5911yescharacteristic
1148C2×C22⋊C4C22×D5911yescharacteristic
1149C2×C22⋊C4C22×D5911yescharacteristic
1150C2×C22⋊C4C22×D5911yescharacteristic
1151C2×C22⋊C4C22×D5911yescharacteristic
1152C2×C22⋊C4C22×D5911yescharacteristic
1153C2×C22⋊C4C22×D5911yescharacteristic
1154C2×C22⋊C4C22×D5911yescharacteristic
1155C2×C22⋊C4C22×D5911yescharacteristic
1156C2×C22⋊C4C22×D5911yescharacteristic
1157C2×C22⋊C4C22×D5911yescharacteristic
1158C2×C42—591no—
1159C2×C42—591no—
1160C2×C42—591no—
1161C2×C42—591no—
1162C2×C42—591no—
1163C2×C42—591no—
1164C2×C42—591no—
1165C2×C42—2362no—
1166C2×C42C22×D5911yescharacteristic
1167#95—591no—
1168#95—591no—
1169#95—591no—
1170#95—591no—
1171#95—591no—
1172#95—591no—
1173#95—591no—
1174#95—591no—
1175#95—591no—
1176#95—591no—
1177#95—591no—
1178#95—591no—
1179#95—591no—
1180#95—591no—
1181#95—591no—
1182#95—591no—
1183#95—591no—
1184#95—591no—
1185#95—591no—
1186#95—591no—
1187#95—591no—
1188#95—591no—
1189#95—591no—
1190#95—591no—
1191#95—591no—
1192#95—591no—
1193#95—591no—
1194#95—591no—
1195#95—591no—
1196#95—591no—
1197#95—591no—
1198#95—591no—
1199#95C22×D5911yescharacteristic
1200#95C22×D5911yescharacteristic
1201#95C22×D5911yescharacteristic
1202#95C22×D5911yescharacteristic
1203C24—22no—
1204C24—22no—
1205C24—22no—
1206C24—41no—
1207C24—41no—
1208C24—41no—
1209C24—41no—
1210C24—591no—
1211C24—591no—
1212C24C23×D5911yescharacteristic
1213C24C23×D5911yescharacteristic
1214C24C23×D5911yescharacteristic
1215C24C23×D5911yescharacteristic
1216C24C23×D5911yescharacteristic
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—1182no—
1239C2×D4—1182no—
1240C2×D4—1182no—
1241C2×D4—1182no—
1242C2×D4—1182no—
1243C2×D4—1182no—
1244C2×D4—1182no—
1245C2×D4—1182no—
1246C2×D4—1182no—
1247C2×D4—1182no—
1248C2×D4—1182no—
1249C2×D4—2361no—
1250C2×D4—2361no—
1251C2×D4—2361no—
1252C2×D4—2361no—
1253C2×D4—2361no—
1254C2×D4—2361no—
1255C2×D4—2361no—
1256C2×D4—2361no—
1257C2×D4—2361no—
1258C2×D4—2361no—
1259C2×D4—2361no—
1260C2×D4—2361no—
1261C2×D4—2361no—
1262C2×D4—2361no—
1263C2×D4—2361no—
1264C2×D4—2361no—
1265C2×D4—2361no—
1266C2×D4—2361no—
1267C2×D4—2361no—
1268C2×D4—2361no—
1269C2×D4—2361no—
1270C2×D4—2361no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—591no—
1281C22×C4—591no—
1282C22×C4—591no—
1283C22×C4—594no—
1284C22×C4—591no—
1285C22×C4—591no—
1286C22×C4—591no—
1287C22×C4—591no—
1288C22×C4—591no—
1289C22×C4—591no—
1290C22×C4—591no—
1291C22×C4—591no—
1292C22×C4—591no—
1293C22×C4—591no—
1294C22×C4—591no—
1295C22×C4—1182no—
1296C22×C4—1182no—
1297C22×C4—1182no—
1298C22×C4—1182no—
1299C22×C4—2361no—
1300C22×C4—2361no—
1301C22×C4—2361no—
1302C22×C4—2361no—
1303C22×C4—2361no—
1304C22×C4—2361no—
1305C22×C4—2361no—
1306C22×C4—2361no—
1307C22×C4—2361no—
1308C22×C4—2361no—
1309C22×C4—2361no—
1310C22×C4—2361no—
1311C22×C4—2361no—
1312C22×C4—2361no—
1313C22×C4—2361no—
1314C22×C4—2361no—
1315C22×C4C23×D5911yescharacteristic
1316C22×C4C23×D5911yescharacteristic
1317C22×C4C23×D5911yescharacteristic
1318C22×C4C23×D5911yescharacteristic
1319C22×C4C23×D5911yescharacteristic
1320C22×C4C23×D5911yescharacteristic
1321C22×C4C23×D5911yescharacteristic
1322C22×C4C23×D5911yescharacteristic
1323C22×C4C23×D5911yescharacteristic
1324C22×C4C23×D5911yescharacteristic
1325C4⋊C4—22no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—1182no—
1330C4⋊C4—1182no—
1331C4⋊C4—1182no—
1332C4⋊C4—1182no—
1333C4⋊C4—1182no—
1334C4⋊C4—1182no—
1335C4⋊C4—1182no—
1336C4⋊C4—2361no—
1337C4⋊C4—2361no—
1338C4⋊C4—2361no—
1339C4⋊C4—2361no—
1340C4⋊C4—2361no—
1341C4⋊C4—2361no—
1342C4⋊C4—2361no—
1343C4⋊C4—2361no—
1344C4⋊C4—2361no—
1345C4⋊C4—2361no—
1346C4⋊C4—2361no—
1347C4⋊C4—2361no—
1348C4⋊C4—2361no—
1349C4⋊C4—2361no—
1350C4⋊C4—2361no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—1182no—
1367C22⋊C4—1182no—
1368C22⋊C4—1182no—
1369C22⋊C4—1182no—
1370C22⋊C4—1182no—
1371C22⋊C4—1182no—
1372C22⋊C4—1182no—
1373C22⋊C4—1182no—
1374C22⋊C4—1182no—
1375C22⋊C4—1182no—
1376C22⋊C4—1182no—
1377C22⋊C4—1182no—
1378C22⋊C4—2361no—
1379C22⋊C4—2361no—
1380C22⋊C4—2361no—
1381C22⋊C4—2361no—
1382C22⋊C4—2361no—
1383C22⋊C4—2361no—
1384C22⋊C4—2361no—
1385C22⋊C4—2361no—
1386C22⋊C4—2361no—
1387C22⋊C4—2361no—
1388C22⋊C4—2361no—
1389C22⋊C4—2361no—
1390C22⋊C4—2361no—
1391C22⋊C4—2361no—
1392C22⋊C4—2361no—
1393C22⋊C4—2361no—
1394C22⋊C4—2361no—
1395C22⋊C4—2361no—
1396C22⋊C4—2361no—
1397C22⋊C4—2361no—
1398C22⋊C4—2361no—
1399C22⋊C4—2361no—
1400C22⋊C4—2361no—
1401C22⋊C4—2361no—
1402C22⋊C4—2361no—
1403C22⋊C4—2361no—
1404C22⋊C4—2361no—
1405C22⋊C4—2361no—
1406C22⋊C4—2361no—
1407C42—41no—
1408C42—1182no—
1409C42—1182no—
1410C42—2361no—
1411C42—2361no—
1412C42—2361no—
1413C42—2361no—
1414C42—2361no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—44no—
1448C23—44no—
1449C23—44no—
1450C23—82no—
1451C23—82no—
1452C23—82no—
1453C23—82no—
1454C23—1181no—
1455C23—1181no—
1456C23—1181no—
1457C23—1181no—
1458C23—1181no—
1459C23—1181no—
1460C23—1181no—
1461C23—1181no—
1462C23—1181no—
1463C23—1181no—
1464C23—1181no—
1465C23—1181no—
1466C23—1181no—
1467C23—1181no—
1468C23#41×D5912yes—
1469C23#1427377212yes—
1470C23#1427377212yes—
1471C23C24×D5911yescharacteristic
1472D4—44no—
1473D4—44no—
1474D4—82no—
1475D4—82no—
1476D4—82no—
1477D4—82no—
1478D4—82no—
1479D4—4722no—
1480D4—4722no—
1481D4—4722no—
1482D4—4722no—
1483D4—4722no—
1484D4—4722no—
1485D4—4722no—
1486D4—4722no—
1487D4—4722no—
1488D4—2364no—
1489D4—2364no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—44no—
1520C2×C4—82no—
1521C2×C4—82no—
1522C2×C4—592no—
1523C2×C4—592no—
1524C2×C4—592no—
1525C2×C4—1181no—
1526C2×C4—1181no—
1527C2×C4—1181no—
1528C2×C4—1181no—
1529C2×C4—1181no—
1530C2×C4—1181no—
1531C2×C4—1181no—
1532C2×C4—1181no—
1533C2×C4—1181no—
1534C2×C4—1181no—
1535C2×C4—1181no—
1536C2×C4—1181no—
1537C2×C4—1181no—
1538C2×C4—1181no—
1539C2×C4—1181no—
1540C2×C4—1181no—
1541C2×C4—1181no—
1542C2×C4—1181no—
1543C2×C4—1181no—
1544C2×C4—1181no—
1545C2×C4—1181no—
1546C2×C4—1181no—
1547C2×C4—1181no—
1548C2×C4—1181no—
1549C2×C4—1181no—
1550C2×C4—1181no—
1551C2×C4—1181no—
1552C2×C4—1181no—
1553C2×C4—1181no—
1554C2×C4—1181no—
1555C2×C4—1181no—
1556C2×C4—1181no—
1557C2×C4—1181no—
1558C2×C4—1181no—
1559C2×C4—1181no—
1560C2×C4—1181no—
1561C2×C4—1181no—
1562C2×C4—1181no—
1563C2×C4—1181no—
1564C2×C4—4722no—
1565C2×C4—4722no—
1566C2×C4—4722no—
1567C2×C4—4722no—
1568C2×C4—2364no—
1569C2×C4—2364no—
1570C2×C4—2364no—
1571C2×C4#1427377212yes—
1572C22—22no—
1573C22—22no—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—22no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—88no—
1607C22—2361no—
1608C22—2361no—
1609C22—2361no—
1610C22—2361no—
1611C22—2361no—
1612C22—2361no—
1613C22—2361no—
1614C22—2361no—
1615C22—2361no—
1616C22—2361no—
1617C22—2361no—
1618C22—2361no—
1619C22—2361no—
1620C22—2361no—
1621C22#1683800214yes—
1622C22C2×#41×D5911yescharacteristic
1623C22H(5,𝔽2)×D5911yescharacteristic
1624C22C2×#1427377211yescharacteristic
1625C22C2×#1427377211yescharacteristic
1626C22C2×#1427377211yescharacteristic
1627C22#1683823711yescharacteristic
1628C22#1683823811yescharacteristic
1629C4—22no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—1182no—
1640C4—1182no—
1641C4—1182no—
1642C4—2361no—
1643C4—2361no—
1644C4—2361no—
1645C4—2361no—
1646C4—2361no—
1647C4—2361no—
1648C4—2361no—
1649C4—2361no—
1650C4—2361no—
1651C4—2361no—
1652C4—2361no—
1653C2—24no—
1654C2—81no—
1655C2—81no—
1656C2—81no—
1657C2—81no—
1658C2—4721no—
1659C2—4721no—
1660C2C2×#1683800211yescharacteristic
1661C2#2143792411yescharacteristic
1662C2#2143794311yescharacteristic
1663C2#2143827411yescharacteristic
1664C2#2143832711yescharacteristic
1665C2#2143860611yescharacteristic
1666C2#2143864011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2424C2
hypercenter#2424D59
hypocenterC59#36759
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. #21432439C2semidirect
2. #21432402C2semidirect
3. #21432036C2semidirect
4. #21432025C2semidirect
5. #21431960C2semidirect
6. #21431949C2semidirect
7. #21431907C2semidirect
8. #21431899C2semidirect
9. #21431375C2semidirect
10. #21431371C2semidirect
11. #21431362C2semidirect
12. #21431358C2semidirect
13. #21430859C2semidirect
14. #21430847C2semidirect
15. #21430715C2semidirect
16. #21430712C2semidirect
17. #21430367C2semidirect
18. #21430358C2semidirect
19. #21429834C2semidirect
20. #21429834C2semidirect
21. #21427850C2semidirect
22. #21427842C2semidirect
23. #21427833C2semidirect
24. #21427825C2semidirect
25. #21427636C2semidirect
26. #21427632C2semidirect
27. #21427628C2semidirect
28. #21426797C2semidirect
29. #21426794C2semidirect
30. C2×#16837290C2semidirect
31. C59×#2424C2semidirect
32. C2×#14273723C22semidirect
33. C2×#14273717C22semidirect
34. C2×#14273710C22semidirect
35. C2×#14273709C22semidirect
53. #16837344C22semidirect
54. #16837341C22semidirect
55. #16837338C22semidirect
56. #16837337C22semidirect
57. #16837336C22semidirect
58. #16837333C22semidirect
59. #16837331C22semidirect
60. #16837331C22semidirect
65. #16837330C22semidirect
66. #16837330C22semidirect
67. #16837328C22semidirect
68. #16837327C22semidirect
72. #16837319C22semidirect
81. #16837317C22semidirect
82. #16837317C22semidirect
89. #16837316C22semidirect
98. #16837305C22semidirect
99. #16837303C22semidirect
102. #16837302C22semidirect
103. #16837302C22semidirect
104. #16837302C22semidirect
105. #16837302C22semidirect
106. #16837299C22semidirect
107. #16837297C22semidirect
109. #16837296C22semidirect
110. #16837296C22semidirect
112. #16837293C22semidirect
113. #16837293C22semidirect
114. #16837292C22semidirect
115. #16837291C22semidirect
125. #16837290C22semidirect
126. #16837290C22semidirect
127. #16837289C22semidirect
128. #16837288C22semidirect
129. #16837288C22semidirect
130. #16837287C22semidirect
131. #16837286C22semidirect
132. #16837286C22semidirect
133. #16837284C22semidirect
134. #16837284C22semidirect
135. #16837284C22semidirect
136. #16837283C22semidirect
137. #16837283C22semidirect
138. #16837283C22semidirect
143. #16837282C22semidirect
145. #16837281C22semidirect
146. #16837280C22semidirect
150. #16837279C22semidirect
153. #16837278C22semidirect
154. #16837278C22semidirect
156. #16837276C22semidirect
157. #16837276C22semidirect
159. #16837275C22semidirect
160. #16837275C22semidirect
162. #16837274C22semidirect
163. #16837273C22semidirect
164. #16837271C22semidirect
165. #16837266C22semidirect
166. #16837264C22semidirect
167. #16837263C22semidirect
847. #2424D59semidirect
1020. C59#36759semidirect

Maximal subgroups

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

subgroupindex
#214324392
#214324022
#214320362
#214320252
#214319602
#214319492
#214319072
#214318992
#214313752
#214313712
#214313622
#214313582
#214308592
#214308472
#214307152
#214307122
#214303672
#214303582
#214298342
#214278502
#214278422
#214278332
#214278252
#214276362
#214276322
#214276282
#214267972
#214267942
C2×#168372902
C59×#24242
#3675959