Finite Group Databasebeta

← #28797603

Subgroups — #28797603

Order 15104.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432413C211yesmaximal, characteristic, complemented
2#21432395C211yesmaximal, characteristic, complemented
3#21432075C211yesmaximal, characteristic, complemented
4#21432036C211yesmaximal, characteristic, complemented
5#21432025C211yesmaximal, characteristic, complemented
6#21431809C211yesmaximal, characteristic, complemented
7#21431757C211yesmaximal, characteristic, complemented
8#21431734C211yesmaximal, characteristic, complemented
9#21431717C211yesmaximal, characteristic, complemented
10#21431668C211yesmaximal, characteristic, complemented
11#21431461C211yesmaximal, characteristic, complemented
12#21431423C211yesmaximal, characteristic, complemented
13#21431420C211yesmaximal, characteristic, complemented
14#21431349C211yesmaximal, characteristic, complemented
15#21431124C211yesmaximal, characteristic, complemented
16#21430913C211yesmaximal, characteristic, complemented
17#21430886C211yesmaximal, characteristic, complemented
18#21430498C211yesmaximal, characteristic, complemented
19#21429871C211yesmaximal, characteristic, complemented
20#21429834C211yesmaximal, characteristic, complemented
21#21428658C211yesmaximal, characteristic, complemented
22#21428216C211yesmaximal, characteristic, complemented
23#21427840C211yesmaximal, characteristic, complemented
24#21427776C211yesmaximal, characteristic, complemented
25#21427702C211yesmaximal, characteristic, complemented
26#21427477C211yesmaximal, characteristic, complemented
27#21427412C211yesmaximal, characteristic, complemented
28#21426761C211yesmaximal, characteristic, complemented
29#21426683C211yesmaximal, characteristic, complemented
30C2×#16837290C211yesmaximal, characteristic, complemented
31C59×#2424C211yesmaximal, characteristic, complemented
32C22×#11745687C2211yescharacteristic
33C2×#14273722C2211yescharacteristic, complemented
34C2×#14273714C2211yescharacteristic, complemented
35C2×#14273713C2211yescharacteristic
36C2×#14273708C2211yescharacteristic
37C2×#14273706C2211yescharacteristic
38C2×#14273699C2211yescharacteristic
39C2×#14273696C2211yescharacteristic
40C2×#14273683C2211yescharacteristic
41C22×Dic59⋊C4C2211yescharacteristic
42C22×C22⋊Dic59C2211yescharacteristic
43C22×C22⋊Dic59C2211yescharacteristic
44C22×C4×Dic59C2211yescharacteristic
45C59⋊#401C2211yescharacteristic, complemented
46#16837343C2211yescharacteristic, complemented
47#16837342C2211yescharacteristic, complemented
48#16837340C2211yescharacteristic, complemented
49#16837336C2211yescharacteristic, complemented
50#16837333C2211yescharacteristic, complemented
51#16837330C2211yescharacteristic
52#16837330C2211yescharacteristic
53#16837330C2211yescharacteristic
54#16837330C2211yescharacteristic
55#16837330C2211yescharacteristic
56#16837330C2211yescharacteristic
57#16837330C2211yescharacteristic
58#16837330C2211yescharacteristic, complemented
59#16837330C2211yescharacteristic, complemented
60#16837328C2211yescharacteristic, complemented
61#16837327C2211yescharacteristic, complemented
62#16837325C2211yescharacteristic
63#16837325C2211yescharacteristic
64#16837322C2211yescharacteristic, complemented
65#16837322C2211yescharacteristic, complemented
66#16837318C2211yescharacteristic
67#16837317C2211yescharacteristic
68#16837317C2211yescharacteristic
69#16837317C2211yescharacteristic
70#16837317C2211yescharacteristic, complemented
71#16837317C2211yescharacteristic, complemented
72#16837316C2211yescharacteristic
73#16837316C2211yescharacteristic
74#16837316C2211yescharacteristic
75#16837316C2211yescharacteristic
76#16837316C2211yescharacteristic
77#16837316C2211yescharacteristic
78#16837316C2211yescharacteristic
79#16837316C2211yescharacteristic
80#16837314C2211yescharacteristic
81#16837314C2211yescharacteristic
82#16837314C2211yescharacteristic
83#16837314C2211yescharacteristic, complemented
84#16837310C2211yescharacteristic
85#16837310C2211yescharacteristic
86#16837310C2211yescharacteristic
87#16837310C2211yescharacteristic
88#16837310C2211yescharacteristic, complemented
89#16837307C2211yescharacteristic, complemented
90#16837306C2211yescharacteristic, complemented
91#16837306C2211yescharacteristic, complemented
92#16837306C2211yescharacteristic, complemented
93#16837305C2211yescharacteristic
94#16837305C2211yescharacteristic
95#16837305C2211yescharacteristic, complemented
96#16837302C2211yescharacteristic
97#16837302C2211yescharacteristic, complemented
98#16837302C2211yescharacteristic, complemented
99#16837297C2211yescharacteristic, complemented
100#16837297C2211yescharacteristic, complemented
101#16837297C2211yescharacteristic, complemented
102#16837296C2211yescharacteristic, complemented
103#16837296C2211yescharacteristic, complemented
104#16837296C2211yescharacteristic, complemented
105#16837296C2211yescharacteristic, complemented
106#16837296C2211yescharacteristic, complemented
107#16837296C2211yescharacteristic, complemented
108#16837295C2211yescharacteristic
109#16837295C2211yescharacteristic, complemented
110#16837294C2211yescharacteristic, complemented
111#16837293C2211yescharacteristic, complemented
112#16837292C2211yescharacteristic, complemented
113#16837291C2211yescharacteristic, complemented
114#16837290C2211yescharacteristic
115#16837290C2211yescharacteristic
116#16837290C2211yescharacteristic
117#16837290C2211yescharacteristic
118#16837290C2211yescharacteristic
119#16837290C2211yescharacteristic
120#16837290C2211yescharacteristic
121#16837290C2211yescharacteristic
122#16837290C2211yescharacteristic
123#16837290C2211yescharacteristic
124#16837290C2211yescharacteristic
125#16837290C2211yescharacteristic, complemented
126#16837289C2211yescharacteristic, complemented
127#16837288C2211yescharacteristic, complemented
128#16837288C2211yescharacteristic, complemented
129#16837286C2211yescharacteristic, complemented
130#16837286C2211yescharacteristic, complemented
131#16837286C2211yescharacteristic, complemented
132#16837285C2211yescharacteristic, complemented
133#16837284C2211yescharacteristic, complemented
134#16837283C2211yescharacteristic, complemented
135#16837282C2211yescharacteristic
136#16837282C2211yescharacteristic
137#16837282C2211yescharacteristic
138#16837282C2211yescharacteristic
139#16837282C2211yescharacteristic
140#16837282C2211yescharacteristic
141#16837282C2211yescharacteristic
142#16837282C2211yescharacteristic, complemented
143#16837281C2211yescharacteristic
144#16837281C2211yescharacteristic
145#16837281C2211yescharacteristic, complemented
146#16837279C2211yescharacteristic
147#16837279C2211yescharacteristic
148#16837278C2211yescharacteristic
149#16837278C2211yescharacteristic
150#16837278C2211yescharacteristic, complemented
151#16837277C2211yescharacteristic
152#16837275C2211yescharacteristic, complemented
153#16837275C2211yescharacteristic, complemented
154#16837274C2211yescharacteristic
155#16837274C2211yescharacteristic
156#16837274C2211yescharacteristic, complemented
157#16837273C2211yescharacteristic, complemented
158#16837269C2211yescharacteristic, complemented
159#16837269C2211yescharacteristic, complemented
160#16837267C2211yescharacteristic, complemented
161#16837265C2211yescharacteristic, complemented
162#16837263C2211yescharacteristic
163#16837261C2211yescharacteristic, complemented
164#16837261C2211yescharacteristic, complemented
165#16837260C2211yescharacteristic
166#16837260C2211yescharacteristic, complemented
167#16837260C2211yescharacteristic, complemented
168#16837258C2211yescharacteristic
169C4×C22⋊Dic59C2211yescharacteristic
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
187C2×#11745687—24no—
188C2×#11745687—42no—
189C2×#11745687—42no—
190C22×Dic118C2311yescharacteristic
191C22×Dic118C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C23×Dic59C2311yescharacteristic
198C23×Dic59C2311yescharacteristic
199C23×Dic59C2311yescharacteristic
200C23×Dic59C2311yescharacteristic
201C23×Dic59C2311yescharacteristic
202C22×C4×D59C2311yescharacteristic
203#14273722—42no—
204#14273714—42no—
205#14273713—42no—
206#14273708—24no—
207#14273706—42no—
208#14273699—42no—
209#14273696—42no—
210#14273683—42no—
211C2×C4⋊Dic59C2311yescharacteristic
212C2×C4⋊Dic59C2311yescharacteristic
213C2×C4⋊Dic59C2311yescharacteristic
214C2×Dic59⋊C4—42no—
215C2×Dic59⋊C4C2311yescharacteristic
216C2×Dic59⋊C4C2311yescharacteristic
217C2×Dic59⋊C4C2311yescharacteristic
218C2×Dic59⋊C4C2311yescharacteristic
219C2×Dic59⋊C4C2311yescharacteristic
220C2×Dic59⋊C4C2311yescharacteristic
221C2×Dic59⋊C4C2311yescharacteristic
222C2×Dic59⋊C4C2311yescharacteristic
223C2×Dic59⋊C4C2311yescharacteristic
224C2×Dic59⋊C4C2311yescharacteristic
225C2×Dic59⋊C4C2311yescharacteristic
226C2×Dic59⋊C4C2311yescharacteristic
227C2×Dic59⋊C4C2311yescharacteristic
228C2×Dic59⋊C4C2311yescharacteristic
229C2×Dic59⋊C4C2311yescharacteristic
230C2×Dic59⋊C4C2311yescharacteristic
231C2×Dic59⋊C4C2311yescharacteristic
232C2×C22⋊Dic59—24no—
233C2×C22⋊Dic59—42no—
234C2×C22⋊Dic59C2311yescharacteristic
235C2×C22⋊Dic59C2311yescharacteristic
236C2×C22⋊Dic59C2311yescharacteristic
237C2×C22⋊Dic59C2311yescharacteristic
238C2×C22⋊Dic59C2311yescharacteristic
239C2×C22⋊Dic59C2311yescharacteristic
240C2×C22⋊Dic59C2311yescharacteristic
241C2×C22⋊Dic59C2311yescharacteristic
242C2×C22⋊Dic59C2311yescharacteristic
243C2×C22⋊Dic59C2311yescharacteristic
244C2×C22⋊Dic59C2311yescharacteristic
245C2×C22⋊Dic59C2311yescharacteristic
246C2×C22⋊Dic59C2311yescharacteristic
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×(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×C4×Dic59—42no—
274C2×C4×Dic59C2311yescharacteristic
275C2×C4×Dic59C2311yescharacteristic
276C2×C4×Dic59C2311yescharacteristic
277C2×C4×Dic59C2311yescharacteristic
278C2×C4×Dic59C2311yescharacteristic
279C2×C4×Dic59C2311yescharacteristic
280C2×C4×Dic59C2311yescharacteristic
281C2×C4×Dic59C2311yescharacteristic
282C59⋊#95C2311yescharacteristic
283C59⋊#95C2311yescharacteristic
284C59⋊#95C2311yescharacteristic
285C59⋊#95C2311yescharacteristic
286C59⋊#95C2311yescharacteristic
287C59⋊#95C2311yescharacteristic
288C59⋊#95C2311yescharacteristic
289C59⋊#95C2311yescharacteristic
290C59⋊#95C2311yescharacteristic
291C59⋊#95C2311yescharacteristic
292C59⋊#95C2311yescharacteristic
293C59⋊#95C2311yescharacteristic
294C59⋊#95C2311yescharacteristic
295C59⋊#95C2311yescharacteristic
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
322C25×C59C2311yescharacteristic
323C22×D4×C59C2311yescharacteristic
324C22×D4×C59C2311yescharacteristic
325C22×D4×C59C2311yescharacteristic
326C22×D4×C59C2311yescharacteristic
327C22×D4×C59C2311yescharacteristic
328C22×D4×C59C2311yescharacteristic
329C22×D4×C59C2311yescharacteristic
330C23×C4×C59C2311yescharacteristic
331C23×C4×C59C2311yescharacteristic
332C23×C4×C59C2311yescharacteristic
333#121×C59—42no—
334#121×C59—42no—
335#120×C59—42no—
336#120×C59—42no—
337C4×D4×C59—42no—
338C2×C4⋊C4×C59C2311yescharacteristic
339C2×C4⋊C4×C59C2311yescharacteristic
340C2×C4⋊C4×C59C2311yescharacteristic
341C2×C4⋊C4×C59C2311yescharacteristic
342C2×C22⋊C4×C59—42no—
343C2×C22⋊C4×C59C2311yescharacteristic
344C2×C22⋊C4×C59C2311yescharacteristic
345C2×C22⋊C4×C59C2311yescharacteristic
346C2×C22⋊C4×C59C2311yescharacteristic
347C2×C22⋊C4×C59C2311yescharacteristic
348C2×C22⋊C4×C59C2311yescharacteristic
349C2×C22⋊C4×C59C2311yescharacteristic
350C2×C22⋊C4×C59C2311yescharacteristic
351C2×C22⋊C4×C59C2311yescharacteristic
352C2×C22⋊C4×C59C2311yescharacteristic
353C2×C22⋊C4×C59C2311yescharacteristic
354C2×C22⋊C4×C59C2311yescharacteristic
355C2×C22⋊C4×C59C2311yescharacteristic
356C2×C22⋊C4×C59C2311yescharacteristic
357C2×C22⋊C4×C59C2311yescharacteristic
358C2×C42×C59C2311yescharacteristic
359#95×C59C2311yescharacteristic
360#95×C59C2311yescharacteristic
361#95×C59C2311yescharacteristic
362#95×C59C2311yescharacteristic
363C24×C59—22no—
364C24×C59—22no—
365C24×C59—22no—
366C24×C59—41no—
367C24×C59—41no—
368C24×C59—41no—
369C24×C59—41no—
370C24×C59C2411yescharacteristic
371C24×C59C2411yescharacteristic
372C24×C59C2411yescharacteristic
373C24×C59C2411yescharacteristic
374C24×C59C2411yescharacteristic
375C23×D59C2411yescharacteristic
376C2×D4×C59—22no—
377C2×D4×C59—22no—
378C2×D4×C59—22no—
379C2×D4×C59—22no—
380C2×D4×C59—22no—
381C2×D4×C59—22no—
382C2×D4×C59—22no—
383C2×D4×C59—41no—
384C2×D4×C59—41no—
385C2×D4×C59—41no—
386C2×D4×C59—41no—
387C2×D4×C59—41no—
388C2×D4×C59—41no—
389C2×D4×C59—41no—
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—
397C22×C4×C59—22no—
398C22×C4×C59—22no—
399C22×C4×C59—22no—
400C22×C4×C59—41no—
401C22×C4×C59—41no—
402C22×C4×C59—41no—
403C22×C4×C59—41no—
404C22×C4×C59—41no—
405C22×C4×C59—41no—
406C22×C4×C59C2411yescharacteristic
407C22×C4×C59C2411yescharacteristic
408C22×C4×C59C2411yescharacteristic
409C22×C4×C59C2411yescharacteristic
410C22×C4×C59C2411yescharacteristic
411C22×C4×C59C2411yescharacteristic
412C22×C4×C59C2411yescharacteristic
413C22×C4×C59C2411yescharacteristic
414C22×C4×C59C2411yescharacteristic
415C22×C4×C59C2411yescharacteristic
416C2×C22⋊D59—22no—
417C2×C22⋊D59—22no—
418C2×C22⋊D59—22no—
419C2×C22⋊D59—22no—
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—
427C2×C22⋊D59—41no—
428C2×C22⋊D59—41no—
429C2×C22⋊D59—41no—
430C2×C22⋊D59—41no—
431C22×Dic59—22no—
432C22×Dic59—22no—
433C22×Dic59—22no—
434C22×Dic59—22no—
435C22×Dic59—22no—
436C22×Dic59—22no—
437C22×Dic59—41no—
438C22×Dic59—41no—
439C22×Dic59—41no—
440C22×Dic59—41no—
441C22×Dic59—41no—
442C22×Dic59—41no—
443C22×Dic59—41no—
444C22×Dic59—41no—
445C22×Dic59#4114yes—
446C22×Dic59C2411yescharacteristic
447C22×Dic59C2411yescharacteristic
448C22×Dic59C2411yescharacteristic
449C22×Dic59C2411yescharacteristic
450C22×Dic59C2411yescharacteristic
451C22×Dic59C2411yescharacteristic
452C22×Dic59C2411yescharacteristic
453C22×Dic59C2411yescharacteristic
454C22×Dic59C2411yescharacteristic
455C22×Dic59C2411yescharacteristic
456C22×Dic59C2411yescharacteristic
457C22×Dic59C2411yescharacteristic
458C22×Dic59C2411yescharacteristic
459C22×Dic59C2411yescharacteristic
460C22×Dic59C2411yescharacteristic
461#11745687—416no—
462C2×C4×D59—22no—
463C2×C4×D59—41no—
464C2×C4×D59—41no—
465C2×Dic118—22no—
466C2×Dic118—22no—
467C2×Dic118—41no—
468C2×Dic118—41no—
469C2×Dic118—41no—
470C2×Dic118—41no—
471C4⋊C4×C59—22no—
472C4⋊C4×C59—41no—
473C4⋊C4×C59—41no—
474C4⋊C4×C59—41no—
475C22⋊C4×C59—22no—
476C22⋊C4×C59—22no—
477C22⋊C4×C59—22no—
478C22⋊C4×C59—22no—
479C22⋊C4×C59—41no—
480C22⋊C4×C59—41no—
481C22⋊C4×C59—41no—
482C22⋊C4×C59—41no—
483C22⋊C4×C59—41no—
484C22⋊C4×C59—41no—
485C22⋊C4×C59—41no—
486C22⋊C4×C59—41no—
487C22⋊C4×C59—41no—
488C22⋊C4×C59—41no—
489C22⋊C4×C59—41no—
490C42×C59—41no—
491C22⋊Dic59—22no—
492C22⋊Dic59—22no—
493C22⋊Dic59—22no—
494C22⋊Dic59—22no—
495C22⋊Dic59—22no—
496C22⋊Dic59—22no—
497C22⋊Dic59—22no—
498C22⋊Dic59—22no—
499C22⋊Dic59—22no—
500C22⋊Dic59—41no—
501C22⋊Dic59—41no—
502C22⋊Dic59—41no—
503C22⋊Dic59—41no—
504C22⋊Dic59—41no—
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—41no—
514C22⋊Dic59—41no—
515C22⋊Dic59—41no—
516C22⋊Dic59—41no—
517C22⋊Dic59—41no—
518C22⋊Dic59—41no—
519C22⋊Dic59—41no—
520C22⋊Dic59—41no—
521(C2×D59)⋊C4—22no—
522(C2×D59)⋊C4—41no—
523(C2×D59)⋊C4—41no—
524(C2×D59)⋊C4—41no—
525(C2×D59)⋊C4—41no—
526(C2×D59)⋊C4—41no—
527(C2×D59)⋊C4—41no—
528(C2×D59)⋊C4—41no—
529(C2×D59)⋊C4—41no—
530C4⋊Dic59—41no—
531C4⋊Dic59—41no—
532C4⋊Dic59—41no—
533Dic59⋊C4—22no—
534Dic59⋊C4—22no—
535Dic59⋊C4—41no—
536Dic59⋊C4—41no—
537Dic59⋊C4—41no—
538Dic59⋊C4—41no—
539Dic59⋊C4—41no—
540Dic59⋊C4—41no—
541Dic59⋊C4—41no—
542Dic59⋊C4—41no—
543Dic59⋊C4—41no—
544Dic59⋊C4—41no—
545Dic59⋊C4—41no—
546Dic59⋊C4—41no—
547Dic59⋊C4—41no—
548Dic59⋊C4—41no—
549Dic59⋊C4—41no—
550C4×Dic59—22no—
551C4×Dic59—22no—
552C4×Dic59—41no—
553C4×Dic59—41no—
554C4×Dic59—41no—
555C4×Dic59—41no—
556C4×Dic59—41no—
557C4×Dic59—41no—
558C23×C59—21no—
559C23×C59—21no—
560C23×C59—21no—
561C23×C59—21no—
562C23×C59—21no—
563C23×C59—21no—
564C23×C59—21no—
565C23×C59—21no—
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×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—44no—
591C23×C59—44no—
592C23×C59—44no—
593C23×C59—82no—
594C23×C59—82no—
595C23×C59—82no—
596C23×C59—82no—
597C23×C59C2×#4112yes—
598C23×C59H(5,𝔽2)12yes—
599C23×C59H(5,𝔽2)12yes—
600C23×C59C2511yescharacteristic
601C22×D59—21no—
602C22×D59—21no—
603C22×D59—21no—
604C22×D59—21no—
605C22×D59—21no—
606C22×D59—21no—
607C22×D59—21no—
608D4×C59—44no—
609D4×C59—44no—
610D4×C59—82no—
611D4×C59—82no—
612D4×C59—82no—
613D4×C59—82no—
614D4×C59—82no—
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—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—44no—
645C2×C4×C59—82no—
646C2×C4×C59—82no—
647C2×C4×C59H(5,𝔽2)12yes—
648C22⋊D59—44no—
649C22⋊D59—44no—
650C22⋊D59—82no—
651C22⋊D59—82no—
652C22⋊D59—82no—
653C2×Dic59—28no—
654C2×Dic59—21no—
655C2×Dic59—21no—
656C2×Dic59—21no—
657C2×Dic59—21no—
658C2×Dic59—21no—
659C2×Dic59—21no—
660C2×Dic59—21no—
661C2×Dic59—21no—
662C2×Dic59—21no—
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—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—44no—
698C2×Dic59—44no—
699C2×Dic59—44no—
700C2×Dic59—82no—
701C2×Dic59C2×#4112yes—
702C2×Dic59C2×#4112yes—
703C4×D59—44no—
704Dic118—44no—
705Dic118—82no—
706#36795—591nomaximal, Sylow
707C22×C59—22no—
708C22×C59—22no—
709C22×C59—22no—
710C22×C59—22no—
711C22×C59—22no—
712C22×C59—22no—
713C22×C59—41no—
714C22×C59—41no—
715C22×C59—41no—
716C22×C59—41no—
717C22×C59—41no—
718C22×C59—41no—
719C22×C59—41no—
720C22×C59—41no—
721C22×C59—41no—
722C22×C59—41no—
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×C59—88no—
742C22×C59#53814yes—
743C22×C59C22×#4111yescharacteristic
744C22×C59C2×H(5,𝔽2)11yescharacteristic
745C22×C59C2×H(5,𝔽2)11yescharacteristic
746C22×C59C2×H(5,𝔽2)11yescharacteristic
747C22×C59#58511yescharacteristic
748C22×C59#58511yescharacteristic
749C22×C59#58511yescharacteristic
750C2×D59—41no—
751C2×D59—41no—
752C2×D59—41no—
753C2×D59—41no—
754C2×D59—41no—
755C2×D59—41no—
756C2×D59—41no—
757C4×C59—22no—
758C4×C59—41no—
759C4×C59—41no—
760C4×C59—41no—
761C4×C59—41no—
762C4×C59—41no—
763C4×C59—41no—
764C4×C59—41no—
765C4×C59—41no—
766C4×C59—41no—
767Dic59—22no—
768Dic59—22no—
769Dic59—41no—
770Dic59—41no—
771Dic59—41no—
772Dic59—41no—
773Dic59—41no—
774Dic59—41no—
775Dic59—41no—
776Dic59—41no—
777Dic59—41no—
778Dic59—41no—
779Dic59—41no—
780Dic59—41no—
781Dic59—41no—
782#2852—591no—
783#2850—591no—
784#2808—591no—
785#2803—591no—
786#2803—591no—
787#2786—591no—
788#2781—591no—
789#2779—591no—
790#2778—591no—
791#2775—591no—
792#2759—591no—
793#2756—591no—
794#2756—591no—
795#2751—591no—
796#2733—591no—
797#2715—591no—
798#2714—591no—
799#2686—591no—
800#2622—591no—
801#2617—591no—
802#2510—591no—
803#2472—591no—
804#2444—591no—
805#2438—591no—
806#2430—591no—
807#2424D5911yescharacteristic, complemented
808#2411—591no—
809#2404—591no—
810#2322—591no—
811#2311—591no—
812C2×#388—591no—
813C2×C59—24no—
814C2×C59—81no—
815C2×C59—81no—
816C2×C59—81no—
817C2×C59—81no—
818C2×C59C2×#53811yescharacteristic
819C2×C59#349311yescharacteristic
820C2×C59#350611yescharacteristic
821C2×C59#353411yescharacteristic
822C2×C59#354211yescharacteristic
823C2×C59#354511yescharacteristic
824C2×C59#356011yescharacteristic
825D59—81no—
826C22×#41—591no—
827C2×#126—591no—
828C2×#124—591no—
829C2×#124—591no—
830C2×#123—591no—
831C2×C22⋊Q8—591no—
832C2×#121—591no—
833C2×#121C2×D5911yescharacteristic
834C2×#121C2×D5911yescharacteristic
835C2×#120—591no—
836C2×#120C2×D5911yescharacteristic
837C2×#120C2×D5911yescharacteristic
838C2×C4×D4C2×D5911yescharacteristic
839C2×#117—591no—
840C22×C4⋊C4—591no—
841C22×C22⋊C4—591no—
842C22×C22⋊C4—591no—
843C22×C22⋊C4C2×D5911yescharacteristic
844C22×C42—591no—
845#401—591no—
846#400—591no—
847#400—591no—
848#400—591no—
849#398—591no—
850#398—591no—
851#397—591no—
852#397—591no—
853#397—591no—
854#397—591no—
855#397—591no—
856#397—591no—
857#397—591no—
858#397—591no—
859#397—591no—
860#397—591no—
861#397—591no—
862#396—591no—
863#396—591no—
864#396C2×D5911yescharacteristic
865#395—591no—
866#395—591no—
867#394—591no—
868#394—591no—
869#394—591no—
870#394—591no—
871#394—591no—
872#394—591no—
873#394—591no—
874#394—591no—
875#394—591no—
876#394—591no—
877#394—591no—
878#394—591no—
879#394—591no—
880#394—591no—
881#394C2×D5911yescharacteristic
882#394C2×D5911yescharacteristic
883#393—591no—
884#393—591no—
885#393—591no—
886#393—591no—
887#392—591no—
888#392—591no—
889#392—591no—
890#392—591no—
891#392—591no—
892#392C2×D5911yescharacteristic
893#391—591no—
894#391—591no—
895#391—591no—
896#391—591no—
897#390—591no—
898#390—591no—
899#390—591no—
900#390—591no—
901#390—591no—
902#390—591no—
903#390C2×D5911yescharacteristic
904#389—591no—
905#389—591no—
906#389—591no—
907#388—591no—
908#388—591no—
909#388—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
932#387—591no—
933#387—591no—
934#387—591no—
935#387—591no—
936#387—591no—
937#387—591no—
938#387—591no—
939#387—591no—
940#387—591no—
941#386—591no—
942#386—591no—
943#386—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#386C2×D5911yescharacteristic
958#386C2×D5911yescharacteristic
959#385—591no—
960#385—591no—
961#385—591no—
962#385—591no—
963#385—591no—
964#385—591no—
965#385—591no—
966#385C2×D5911yescharacteristic
967#383—591no—
968#383—591no—
969#382—591no—
970#381—591no—
971#381—591no—
972#380—591no—
973#380—591no—
974#380—591no—
975#380—591no—
976#380—591no—
977#379—591no—
978C4×C22⋊C4—591no—
979C2×#95—591no—
980C2×#95—591no—
981C59#3679511yescharacteristic, complemented, Sylow
982C25C22×D5911yescharacteristic
983C2×#41—1184no—
984C2×#41—2362no—
985C2×#41—2362no—
986C22×Q8—591no—
987C22×Q8—591no—
988C22×D4—591no—
989C22×D4—591no—
990C22×D4—591no—
991C22×D4—591no—
992C22×D4—591no—
993C22×D4C22×D5911yescharacteristic
994C22×D4C22×D5911yescharacteristic
995C22×D4C22×D5911yescharacteristic
996C22×D4C22×D5911yescharacteristic
997C22×D4C22×D5911yescharacteristic
998C22×D4C22×D5911yescharacteristic
999C22×D4C22×D5911yescharacteristic
1000C23×C4—591no—
1001C23×C4—591no—
1002C23×C4—591no—
1003C23×C4—591no—
1004C23×C4—591no—
1005C23×C4—591no—
1006C23×C4C22×D5911yescharacteristic
1007C23×C4C22×D5911yescharacteristic
1008C23×C4C22×D5911yescharacteristic
1009#126—2362no—
1010#124—2362no—
1011#124—2362no—
1012#123—1184no—
1013C22⋊Q8—2362no—
1014#121—42no—
1015#121—42no—
1016#121—2362no—
1017#120—42no—
1018#120—42no—
1019#120—2362no—
1020C4×D4—42no—
1021#117—2362no—
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—591no—
1032C2×C4⋊C4—591no—
1033C2×C4⋊C4—591no—
1034C2×C4⋊C4—591no—
1035C2×C4⋊C4—591no—
1036C2×C4⋊C4—591no—
1037C2×C4⋊C4—591no—
1038C2×C4⋊C4—591no—
1039C2×C4⋊C4—591no—
1040C2×C4⋊C4—591no—
1041C2×C4⋊C4—591no—
1042C2×C4⋊C4—2362no—
1043C2×C4⋊C4C22×D5911yescharacteristic
1044C2×C4⋊C4C22×D5911yescharacteristic
1045C2×C4⋊C4C22×D5911yescharacteristic
1046C2×C4⋊C4C22×D5911yescharacteristic
1047C2×C22⋊C4—42no—
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⋊C4—591no—
1060C2×C22⋊C4—591no—
1061C2×C22⋊C4—591no—
1062C2×C22⋊C4—591no—
1063C2×C22⋊C4—591no—
1064C2×C22⋊C4—591no—
1065C2×C22⋊C4—591no—
1066C2×C22⋊C4—591no—
1067C2×C22⋊C4—591no—
1068C2×C22⋊C4—591no—
1069C2×C22⋊C4—591no—
1070C2×C22⋊C4—591no—
1071C2×C22⋊C4—591no—
1072C2×C22⋊C4—591no—
1073C2×C22⋊C4—591no—
1074C2×C22⋊C4—591no—
1075C2×C22⋊C4—591no—
1076C2×C22⋊C4—591no—
1077C2×C22⋊C4—591no—
1078C2×C22⋊C4—591no—
1079C2×C22⋊C4—591no—
1080C2×C22⋊C4—591no—
1081C2×C22⋊C4—591no—
1082C2×C22⋊C4—591no—
1083C2×C22⋊C4—591no—
1084C2×C22⋊C4—591no—
1085C2×C22⋊C4—591no—
1086C2×C22⋊C4—591no—
1087C2×C22⋊C4—1184no—
1088C2×C22⋊C4—2362no—
1089C2×C22⋊C4C22×D5911yescharacteristic
1090C2×C22⋊C4C22×D5911yescharacteristic
1091C2×C22⋊C4C22×D5911yescharacteristic
1092C2×C22⋊C4C22×D5911yescharacteristic
1093C2×C22⋊C4C22×D5911yescharacteristic
1094C2×C22⋊C4C22×D5911yescharacteristic
1095C2×C22⋊C4C22×D5911yescharacteristic
1096C2×C22⋊C4C22×D5911yescharacteristic
1097C2×C22⋊C4C22×D5911yescharacteristic
1098C2×C22⋊C4C22×D5911yescharacteristic
1099C2×C22⋊C4C22×D5911yescharacteristic
1100C2×C22⋊C4C22×D5911yescharacteristic
1101C2×C22⋊C4C22×D5911yescharacteristic
1102C2×C22⋊C4C22×D5911yescharacteristic
1103C2×C22⋊C4C22×D5911yescharacteristic
1104C2×C42—591no—
1105C2×C42—591no—
1106C2×C42—591no—
1107C2×C42—591no—
1108C2×C42—591no—
1109C2×C42—591no—
1110C2×C42—591no—
1111C2×C42—591no—
1112C2×C42—2362no—
1113C2×C42C22×D5911yescharacteristic
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#95—591no—
1135#95—591no—
1136#95—591no—
1137#95—591no—
1138#95—591no—
1139#95—591no—
1140#95—591no—
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#95C22×D5911yescharacteristic
1155#95C22×D5911yescharacteristic
1156#95C22×D5911yescharacteristic
1157#95C22×D5911yescharacteristic
1158C24—22no—
1159C24—22no—
1160C24—22no—
1161C24—41no—
1162C24—41no—
1163C24—41no—
1164C24—41no—
1165C24—591no—
1166C24C23×D5911yescharacteristic
1167C24C23×D5911yescharacteristic
1168C24C23×D5911yescharacteristic
1169C24C23×D5911yescharacteristic
1170C24C23×D5911yescharacteristic
1171#41—23616no—
1172C2×Q8—1182no—
1173C2×Q8—1182no—
1174C2×Q8—2361no—
1175C2×Q8—2361no—
1176C2×Q8—2361no—
1177C2×Q8—2361no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—1182no—
1200C2×D4—1182no—
1201C2×D4—1182no—
1202C2×D4—1182no—
1203C2×D4—2361no—
1204C2×D4—2361no—
1205C2×D4—2361no—
1206C2×D4—2361no—
1207C2×D4—2361no—
1208C2×D4—2361no—
1209C2×D4—2361no—
1210C2×D4—2361no—
1211C2×D4—2361no—
1212C2×D4—2361no—
1213C2×D4—2361no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—594no—
1224C22×C4—591no—
1225C22×C4—591no—
1226C22×C4—591no—
1227C22×C4—591no—
1228C22×C4—591no—
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—1182no—
1240C22×C4—1182no—
1241C22×C4—1182no—
1242C22×C4—1182no—
1243C22×C4—1182no—
1244C22×C4—1182no—
1245C22×C4—1182no—
1246C22×C4—2361no—
1247C22×C4—2361no—
1248C22×C4—2361no—
1249C22×C4—2361no—
1250C22×C4—2361no—
1251C22×C4—2361no—
1252C22×C4—2361no—
1253C22×C4—2361no—
1254C22×C4—2361no—
1255C22×C4—2361no—
1256C22×C4C23×D5911yescharacteristic
1257C22×C4C23×D5911yescharacteristic
1258C22×C4C23×D5911yescharacteristic
1259C22×C4C23×D5911yescharacteristic
1260C22×C4C23×D5911yescharacteristic
1261C22×C4C23×D5911yescharacteristic
1262C22×C4C23×D5911yescharacteristic
1263C22×C4C23×D5911yescharacteristic
1264C22×C4C23×D5911yescharacteristic
1265C22×C4C23×D5911yescharacteristic
1266C4⋊C4—22no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—1182no—
1271C4⋊C4—1182no—
1272C4⋊C4—2361no—
1273C4⋊C4—2361no—
1274C4⋊C4—2361no—
1275C4⋊C4—2361no—
1276C4⋊C4—2361no—
1277C4⋊C4—2361no—
1278C4⋊C4—2361no—
1279C4⋊C4—2361no—
1280C4⋊C4—2361no—
1281C4⋊C4—2361no—
1282C4⋊C4—2361no—
1283C4⋊C4—2361no—
1284C4⋊C4—2361no—
1285C4⋊C4—2361no—
1286C4⋊C4—2361no—
1287C4⋊C4—2361no—
1288C4⋊C4—2361no—
1289C4⋊C4—2361no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—1182no—
1306C22⋊C4—1182no—
1307C22⋊C4—1182no—
1308C22⋊C4—1182no—
1309C22⋊C4—1182no—
1310C22⋊C4—1182no—
1311C22⋊C4—1182no—
1312C22⋊C4—1182no—
1313C22⋊C4—1182no—
1314C22⋊C4—1182no—
1315C22⋊C4—2361no—
1316C22⋊C4—2361no—
1317C22⋊C4—2361no—
1318C22⋊C4—2361no—
1319C22⋊C4—2361no—
1320C22⋊C4—2361no—
1321C22⋊C4—2361no—
1322C22⋊C4—2361no—
1323C22⋊C4—2361no—
1324C22⋊C4—2361no—
1325C22⋊C4—2361no—
1326C22⋊C4—2361no—
1327C22⋊C4—2361no—
1328C22⋊C4—2361no—
1329C22⋊C4—2361no—
1330C22⋊C4—2361no—
1331C22⋊C4—2361no—
1332C22⋊C4—2361no—
1333C22⋊C4—2361no—
1334C22⋊C4—2361no—
1335C22⋊C4—2361no—
1336C22⋊C4—2361no—
1337C22⋊C4—2361no—
1338C22⋊C4—2361no—
1339C22⋊C4—2361no—
1340C22⋊C4—2361no—
1341C22⋊C4—2361no—
1342C22⋊C4—2361no—
1343C22⋊C4—2361no—
1344C42—41no—
1345C42—1182no—
1346C42—1182no—
1347C42—2361no—
1348C42—2361no—
1349C42—2361no—
1350C42—2361no—
1351C42—2361no—
1352C42—2361no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—44no—
1386C23—44no—
1387C23—44no—
1388C23—82no—
1389C23—82no—
1390C23—82no—
1391C23—82no—
1392C23—1181no—
1393C23—1181no—
1394C23—1181no—
1395C23—1181no—
1396C23—1181no—
1397C23—1181no—
1398C23—1181no—
1399C23#41×D5912yes—
1400C23#1427377212yes—
1401C23#1427377212yes—
1402C23C24×D5911yescharacteristic
1403Q8—4722no—
1404Q8—2364no—
1405D4—44no—
1406D4—44no—
1407D4—82no—
1408D4—82no—
1409D4—82no—
1410D4—82no—
1411D4—82no—
1412D4—4722no—
1413D4—4722no—
1414D4—4722no—
1415D4—2364no—
1416D4—2364no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—44no—
1447C2×C4—82no—
1448C2×C4—82no—
1449C2×C4—592no—
1450C2×C4—592no—
1451C2×C4—1181no—
1452C2×C4—1181no—
1453C2×C4—1181no—
1454C2×C4—1181no—
1455C2×C4—1188no—
1456C2×C4—1181no—
1457C2×C4—1181no—
1458C2×C4—1181no—
1459C2×C4—1181no—
1460C2×C4—1181no—
1461C2×C4—1181no—
1462C2×C4—1181no—
1463C2×C4—1181no—
1464C2×C4—1181no—
1465C2×C4—1181no—
1466C2×C4—1181no—
1467C2×C4—1181no—
1468C2×C4—1181no—
1469C2×C4—1181no—
1470C2×C4—1181no—
1471C2×C4—1181no—
1472C2×C4—1181no—
1473C2×C4—1181no—
1474C2×C4—1181no—
1475C2×C4—1181no—
1476C2×C4—1181no—
1477C2×C4—1181no—
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—4722no—
1496C2×C4—2364no—
1497C2×C4—2364no—
1498C2×C4—2364no—
1499C2×C4—2364no—
1500C2×C4#1427377212yes—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—88no—
1536C22—2361no—
1537C22—2361no—
1538C22—2361no—
1539C22—2361no—
1540C22—2361no—
1541C22—2361no—
1542C22—2361no—
1543C22#1683798414yes—
1544C22C2×#41×D5911yescharacteristic
1545C22C2×#1427377211yescharacteristic
1546C22C2×#1427377211yescharacteristic
1547C22C2×#1427377211yescharacteristic
1548C22#1683823711yescharacteristic
1549C22#1683823711yescharacteristic
1550C22#1683823811yescharacteristic
1551C4—22no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—1182no—
1562C4—1182no—
1563C4—2361no—
1564C4—2361no—
1565C4—2361no—
1566C4—2361no—
1567C4—2361no—
1568C4—2361no—
1569C4—2361no—
1570C4—2361no—
1571C4—2361no—
1572C4—2361no—
1573C4—2361no—
1574C4—2361no—
1575C4—2361no—
1576C2—24no—
1577C2—81no—
1578C2—81no—
1579C2—81no—
1580C2—81no—
1581C2—4721no—
1582C2C2×#1683798411yescharacteristic
1583C2#2143781111yescharacteristic
1584C2#2143793911yescharacteristic
1585C2#2143827411yescharacteristic
1586C2#2143841711yescharacteristic
1587C2#2143844311yescharacteristic
1588C2#2143863611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2424C2
hypercenter#2424D59
hypocenterC59#36795
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. #21432413C2semidirect
2. #21432395C2semidirect
3. #21432075C2semidirect
4. #21432036C2semidirect
5. #21432025C2semidirect
6. #21431809C2semidirect
7. #21431757C2semidirect
8. #21431734C2semidirect
9. #21431717C2semidirect
10. #21431668C2semidirect
11. #21431461C2semidirect
12. #21431423C2semidirect
13. #21431420C2semidirect
14. #21431349C2semidirect
15. #21431124C2semidirect
16. #21430913C2semidirect
17. #21430886C2semidirect
18. #21430498C2semidirect
19. #21429871C2semidirect
20. #21429834C2semidirect
21. #21428658C2semidirect
22. #21428216C2semidirect
23. #21427840C2semidirect
24. #21427776C2semidirect
25. #21427702C2semidirect
26. #21427477C2semidirect
27. #21427412C2semidirect
28. #21426761C2semidirect
29. #21426683C2semidirect
30. C2×#16837290C2semidirect
31. C59×#2424C2semidirect
33. C2×#14273722C22semidirect
34. C2×#14273714C22semidirect
45. C59⋊#401C22semidirect
46. #16837343C22semidirect
47. #16837342C22semidirect
48. #16837340C22semidirect
49. #16837336C22semidirect
50. #16837333C22semidirect
58. #16837330C22semidirect
59. #16837330C22semidirect
60. #16837328C22semidirect
61. #16837327C22semidirect
64. #16837322C22semidirect
65. #16837322C22semidirect
70. #16837317C22semidirect
71. #16837317C22semidirect
83. #16837314C22semidirect
88. #16837310C22semidirect
89. #16837307C22semidirect
90. #16837306C22semidirect
91. #16837306C22semidirect
92. #16837306C22semidirect
95. #16837305C22semidirect
97. #16837302C22semidirect
98. #16837302C22semidirect
99. #16837297C22semidirect
100. #16837297C22semidirect
101. #16837297C22semidirect
102. #16837296C22semidirect
103. #16837296C22semidirect
104. #16837296C22semidirect
105. #16837296C22semidirect
106. #16837296C22semidirect
107. #16837296C22semidirect
109. #16837295C22semidirect
110. #16837294C22semidirect
111. #16837293C22semidirect
112. #16837292C22semidirect
113. #16837291C22semidirect
125. #16837290C22semidirect
126. #16837289C22semidirect
127. #16837288C22semidirect
128. #16837288C22semidirect
129. #16837286C22semidirect
130. #16837286C22semidirect
131. #16837286C22semidirect
132. #16837285C22semidirect
133. #16837284C22semidirect
134. #16837283C22semidirect
142. #16837282C22semidirect
145. #16837281C22semidirect
150. #16837278C22semidirect
152. #16837275C22semidirect
153. #16837275C22semidirect
156. #16837274C22semidirect
157. #16837273C22semidirect
158. #16837269C22semidirect
159. #16837269C22semidirect
160. #16837267C22semidirect
161. #16837265C22semidirect
163. #16837261C22semidirect
164. #16837261C22semidirect
166. #16837260C22semidirect
167. #16837260C22semidirect
807. #2424D59semidirect
981. C59#36795semidirect

Maximal subgroups

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

subgroupindex
#214324132
#214323952
#214320752
#214320362
#214320252
#214318092
#214317572
#214317342
#214317172
#214316682
#214314612
#214314232
#214314202
#214313492
#214311242
#214309132
#214308862
#214304982
#214298712
#214298342
#214286582
#214282162
#214278402
#214277762
#214277022
#214274772
#214274122
#214267612
#214266832
C2×#168372902
C59×#24242
#3679559