Finite Group Databasebeta

← #28795895

Subgroups — #28795895

Order 15104.

2130 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432377C211yesmaximal, characteristic, complemented
2#21432377C211yesmaximal, characteristic, complemented
3#21431240C211yesmaximal, characteristic, complemented
4#21431236C211yesmaximal, characteristic, complemented
5#21431232C211yesmaximal, characteristic, complemented
6#21431228C211yesmaximal, characteristic, complemented
7#21431201C211yesmaximal, characteristic, complemented
8#21431197C211yesmaximal, characteristic, complemented
9#21431193C211yesmaximal, characteristic, complemented
10#21431189C211yesmaximal, characteristic, complemented
11#21430684C211yesmaximal, characteristic, complemented
12#21430683C211yesmaximal, characteristic, complemented
13#21430680C211yesmaximal, characteristic, complemented
14#21430678C211yesmaximal, characteristic, complemented
15#21430537C211yesmaximal, characteristic, complemented
16#21430533C211yesmaximal, characteristic, complemented
17#21430529C211yesmaximal, characteristic, complemented
18#21430525C211yesmaximal, characteristic, complemented
19#21430200C211yesmaximal, characteristic, complemented
20#21430068C211yesmaximal, characteristic, complemented
21#21427852C211yesmaximal, characteristic, complemented
22#21427846C211yesmaximal, characteristic, complemented
23#21427844C211yesmaximal, characteristic, complemented
24#21427638C211yesmaximal, characteristic, complemented
25#21427634C211yesmaximal, characteristic, complemented
26#21427630C211yesmaximal, characteristic, complemented
27#21427626C211yesmaximal, characteristic, complemented
28#21426797C211yesmaximal, characteristic, complemented
29#21426794C211yesmaximal, characteristic, complemented
30C2×#16837264C211yesmaximal, characteristic, complemented
31C59×#2444C211yesmaximal, characteristic, complemented
32C23×C4×D59C2211yescharacteristic
33C2×#14273702C2211yescharacteristic
34C2×#14273701C2211yescharacteristic
35C2×#14273701C2211yescharacteristic
36C2×#14273700C2211yescharacteristic
37C2×#14273700C2211yescharacteristic
38C2×#14273700C2211yescharacteristic
39C2×#14273700C2211yescharacteristic
40C2×#14273700C2211yescharacteristic
41C2×#14273699C2211yescharacteristic
42C2×#14273699C2211yescharacteristic
43C2×#14273699C2211yescharacteristic
44C2×#14273699C2211yescharacteristic
45C2×#14273699C2211yescharacteristic
46C2×#14273697C2211yescharacteristic
47C2×#14273697C2211yescharacteristic
48C2×#14273695C2211yescharacteristic
49C2×#14273695C2211yescharacteristic
50C2×D4×Dic59C2211yescharacteristic
51C2×C4×C22⋊D59C2211yescharacteristic
52C2×(C22⋊D59)⋊C4C2211yescharacteristic
53C22×(C2×D59)⋊C4C2211yescharacteristic
54C22×(C2×D59)⋊C4C2211yescharacteristic
55#16837344C2211yescharacteristic, complemented
56#16837343C2211yescharacteristic, complemented
57#16837343C2211yescharacteristic, complemented
58#16837343C2211yescharacteristic, complemented
59#16837342C2211yescharacteristic, complemented
60#16837342C2211yescharacteristic, complemented
61#16837340C2211yescharacteristic, complemented
62#16837338C2211yescharacteristic, complemented
63#16837338C2211yescharacteristic, complemented
64#16837337C2211yescharacteristic, complemented
65#16837337C2211yescharacteristic, complemented
66#16837336C2211yescharacteristic, complemented
67#16837335C2211yescharacteristic, complemented
68#16837333C2211yescharacteristic, complemented
69#16837332C2211yescharacteristic, complemented
70#16837331C2211yescharacteristic, complemented
71#16837331C2211yescharacteristic, complemented
72#16837331C2211yescharacteristic, complemented
73#16837330C2211yescharacteristic, complemented
74#16837329C2211yescharacteristic, complemented
75#16837327C2211yescharacteristic, complemented
76#16837326C2211yescharacteristic
77#16837324C2211yescharacteristic
78#16837324C2211yescharacteristic
79#16837324C2211yescharacteristic
80#16837320C2211yescharacteristic
81#16837320C2211yescharacteristic
82#16837320C2211yescharacteristic, complemented
83#16837319C2211yescharacteristic
84#16837319C2211yescharacteristic
85#16837318C2211yescharacteristic
86#16837318C2211yescharacteristic
87#16837318C2211yescharacteristic, complemented
88#16837317C2211yescharacteristic
89#16837317C2211yescharacteristic
90#16837317C2211yescharacteristic, complemented
91#16837312C2211yescharacteristic
92#16837311C2211yescharacteristic
93#16837311C2211yescharacteristic
94#16837311C2211yescharacteristic, complemented
95#16837311C2211yescharacteristic, complemented
96#16837310C2211yescharacteristic
97#16837310C2211yescharacteristic, complemented
98#16837310C2211yescharacteristic, complemented
99#16837304C2211yescharacteristic
100#16837303C2211yescharacteristic
101#16837302C2211yescharacteristic
102#16837302C2211yescharacteristic
103#16837296C2211yescharacteristic, complemented
104#16837296C2211yescharacteristic, complemented
105#16837294C2211yescharacteristic
106#16837294C2211yescharacteristic, complemented
107#16837293C2211yescharacteristic
108#16837293C2211yescharacteristic, complemented
109#16837292C2211yescharacteristic
110#16837291C2211yescharacteristic
111#16837291C2211yescharacteristic, complemented
112#16837291C2211yescharacteristic, complemented
113#16837290C2211yescharacteristic, complemented
114#16837289C2211yescharacteristic, complemented
115#16837289C2211yescharacteristic, complemented
116#16837287C2211yescharacteristic, complemented
117#16837286C2211yescharacteristic, complemented
118#16837284C2211yescharacteristic, complemented
119#16837284C2211yescharacteristic, complemented
120#16837283C2211yescharacteristic, complemented
121#16837282C2211yescharacteristic
122#16837281C2211yescharacteristic
123#16837281C2211yescharacteristic
124#16837281C2211yescharacteristic
125#16837281C2211yescharacteristic
126#16837281C2211yescharacteristic, complemented
127#16837280C2211yescharacteristic
128#16837280C2211yescharacteristic
129#16837280C2211yescharacteristic
130#16837280C2211yescharacteristic
131#16837280C2211yescharacteristic
132#16837280C2211yescharacteristic
133#16837280C2211yescharacteristic, complemented
134#16837279C2211yescharacteristic
135#16837279C2211yescharacteristic
136#16837279C2211yescharacteristic, complemented
137#16837279C2211yescharacteristic, complemented
138#16837278C2211yescharacteristic
139#16837278C2211yescharacteristic
140#16837278C2211yescharacteristic
141#16837278C2211yescharacteristic
142#16837278C2211yescharacteristic, complemented
143#16837278C2211yescharacteristic, complemented
144#16837278C2211yescharacteristic, complemented
145#16837277C2211yescharacteristic
146#16837276C2211yescharacteristic, complemented
147#16837275C2211yescharacteristic
148#16837275C2211yescharacteristic, complemented
149#16837274C2211yescharacteristic
150#16837274C2211yescharacteristic, complemented
151#16837273C2211yescharacteristic, complemented
152#16837264C2211yescharacteristic
153#16837264C2211yescharacteristic
154#16837264C2211yescharacteristic
155#16837264C2211yescharacteristic
156#16837264C2211yescharacteristic
157#16837264C2211yescharacteristic
158#16837264C2211yescharacteristic
159#16837264C2211yescharacteristic
160#16837264C2211yescharacteristic, complemented
161#16837264C2211yescharacteristic, complemented
162#16837263C2211yescharacteristic, complemented
163#16837261C2211yescharacteristic
164#16837261C2211yescharacteristic
165#16837261C2211yescharacteristic
166#16837261C2211yescharacteristic
167#16837260C2211yescharacteristic
168#16837260C2211yescharacteristic
169C2×C59⋊#95C2211yescharacteristic
170C2×C59⋊#95C2211yescharacteristic
171C2×C59⋊#95C2211yescharacteristic
172C2×#121×C59C2211yescharacteristic
173C2×C4×D4×C59C2211yescharacteristic
174C59×#400C2211yescharacteristic, complemented
175C59×#397C2211yescharacteristic, complemented
176C59×#397C2211yescharacteristic, complemented
177C59×#394C2211yescharacteristic, complemented
178C59×#388C2211yescharacteristic, complemented
179C59×#387C2211yescharacteristic, complemented
180C59×#386C2211yescharacteristic
181C59×#386C2211yescharacteristic
182C59×#386C2211yescharacteristic
183C59×#386C2211yescharacteristic, complemented
184C59×#385C2211yescharacteristic
185C59×#381C2211yescharacteristic, complemented
186C2×#95×C59C2211yescharacteristic
187C24×D59C2311yescharacteristic
188C22×D236C2311yescharacteristic
189C22×D236C2311yescharacteristic
190C22×D236C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C23×Dic59C2311yescharacteristic
204C23×Dic59C2311yescharacteristic
205C23×Dic59C2311yescharacteristic
206C23×Dic59C2311yescharacteristic
207C22×C4×D59—24no—
208C22×C4×D59—42no—
209C22×C4×D59—42no—
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215C22×C4×D59C2311yescharacteristic
216#14273702—42no—
217#14273701—42no—
218#14273701—42no—
219#14273700—42no—
220#14273700—42no—
221#14273700—42no—
222#14273700—42no—
223#14273700—42no—
224#14273699—24no—
225#14273699—24no—
226#14273699—42no—
227#14273699—42no—
228#14273699—42no—
229#14273697—42no—
230#14273697—42no—
231#14273695—42no—
232#14273695—42no—
233D4×Dic59—42no—
234C4×C22⋊D59—42no—
235(C22⋊D59)⋊C4—42no—
236C2×C4⋊Dic59C2311yescharacteristic
237C2×C4⋊Dic59C2311yescharacteristic
238C2×C4⋊Dic59C2311yescharacteristic
239C2×C4⋊Dic59C2311yescharacteristic
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×C22⋊Dic59C2311yescharacteristic
261C2×C22⋊Dic59C2311yescharacteristic
262C2×C22⋊Dic59C2311yescharacteristic
263C2×(C2×D59)⋊C4—42no—
264C2×(C2×D59)⋊C4—42no—
265C2×(C2×D59)⋊C4C2311yescharacteristic
266C2×(C2×D59)⋊C4C2311yescharacteristic
267C2×(C2×D59)⋊C4C2311yescharacteristic
268C2×(C2×D59)⋊C4C2311yescharacteristic
269C2×(C2×D59)⋊C4C2311yescharacteristic
270C2×(C2×D59)⋊C4C2311yescharacteristic
271C2×(C2×D59)⋊C4C2311yescharacteristic
272C2×(C2×D59)⋊C4C2311yescharacteristic
273C2×(C2×D59)⋊C4C2311yescharacteristic
274C2×(C2×D59)⋊C4C2311yescharacteristic
275C2×(C2×D59)⋊C4C2311yescharacteristic
276C2×(C2×D59)⋊C4C2311yescharacteristic
277C2×(C2×D59)⋊C4C2311yescharacteristic
278C2×(C2×D59)⋊C4C2311yescharacteristic
279C2×(C2×D59)⋊C4C2311yescharacteristic
280C2×(C2×D59)⋊C4C2311yescharacteristic
281C2×(C2×D59)⋊C4C2311yescharacteristic
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×(C2×D59)⋊C4C2311yescharacteristic
284C2×(C2×D59)⋊C4C2311yescharacteristic
285C2×(C2×D59)⋊C4C2311yescharacteristic
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C2×(C2×D59)⋊C4C2311yescharacteristic
288C2×(C2×D59)⋊C4C2311yescharacteristic
289C2×(C2×D59)⋊C4C2311yescharacteristic
290C2×(C2×D59)⋊C4C2311yescharacteristic
291C2×(C2×D59)⋊C4C2311yescharacteristic
292C2×(C2×D59)⋊C4C2311yescharacteristic
293C2×(C2×D59)⋊C4C2311yescharacteristic
294C2×(C2×D59)⋊C4C2311yescharacteristic
295C2×(C2×D59)⋊C4C2311yescharacteristic
296C2×(C2×D59)⋊C4C2311yescharacteristic
297C2×C4×Dic59C2311yescharacteristic
298C2×C4×Dic59C2311yescharacteristic
299C2×C4×Dic59C2311yescharacteristic
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
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C22×D4×C59C2311yescharacteristic
333C22×D4×C59C2311yescharacteristic
334C22×D4×C59C2311yescharacteristic
335C23×C4×C59C2311yescharacteristic
336C23×C4×C59C2311yescharacteristic
337C23×C4×C59C2311yescharacteristic
338C23×C4×C59C2311yescharacteristic
339#121×C59—42no—
340C4×D4×C59—42no—
341C2×C4⋊C4×C59C2311yescharacteristic
342C2×C4⋊C4×C59C2311yescharacteristic
343C2×C4⋊C4×C59C2311yescharacteristic
344C2×C4⋊C4×C59C2311yescharacteristic
345C2×C22⋊C4×C59C2311yescharacteristic
346C2×C22⋊C4×C59C2311yescharacteristic
347C2×C22⋊C4×C59C2311yescharacteristic
348C2×C22⋊C4×C59C2311yescharacteristic
349C2×C22⋊C4×C59C2311yescharacteristic
350C2×C22⋊C4×C59C2311yescharacteristic
351C2×C22⋊C4×C59C2311yescharacteristic
352C2×C22⋊C4×C59C2311yescharacteristic
353C2×C22⋊C4×C59C2311yescharacteristic
354C2×C22⋊C4×C59C2311yescharacteristic
355C2×C22⋊C4×C59C2311yescharacteristic
356C2×C42×C59C2311yescharacteristic
357#95×C59C2311yescharacteristic
358#95×C59C2311yescharacteristic
359#95×C59C2311yescharacteristic
360#95×C59C2311yescharacteristic
361#95×C59C2311yescharacteristic
362#95×C59C2311yescharacteristic
363#95×C59C2311yescharacteristic
364#95×C59C2311yescharacteristic
365#95×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369C24×C59C2411yescharacteristic
370C24×C59C2411yescharacteristic
371C24×C59C2411yescharacteristic
372C23×D59—22no—
373C23×D59—22no—
374C23×D59—22no—
375C23×D59—22no—
376C23×D59—22no—
377C23×D59—41no—
378C23×D59—41no—
379C23×D59C2411yescharacteristic
380C23×D59C2411yescharacteristic
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—41no—
390C2×D4×C59—41no—
391C2×D4×C59—41no—
392C22×C4×C59—22no—
393C22×C4×C59—22no—
394C22×C4×C59—22no—
395C22×C4×C59—41no—
396C22×C4×C59—41no—
397C22×C4×C59—41no—
398C22×C4×C59—41no—
399C22×C4×C59—41no—
400C22×C4×C59—41no—
401C22×C4×C59—41no—
402C22×C4×C59—41no—
403C22×C4×C59—41no—
404C22×C4×C59C2411yescharacteristic
405C22×C4×C59C2411yescharacteristic
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—22no—
421C2×C22⋊D59—22no—
422C2×C22⋊D59—22no—
423C2×C22⋊D59—22no—
424C2×C22⋊D59—22no—
425C2×C22⋊D59—22no—
426C2×C22⋊D59—22no—
427C2×C22⋊D59—22no—
428C2×C22⋊D59—41no—
429C2×C22⋊D59—41no—
430C2×C22⋊D59—41no—
431C2×C22⋊D59—41no—
432C2×C22⋊D59—41no—
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—
446C22×Dic59—22no—
447C22×Dic59—22no—
448C22×Dic59—41no—
449C22×Dic59—41no—
450C22×Dic59—41no—
451C22×Dic59—41no—
452C22×Dic59—41no—
453C22×Dic59—41no—
454C22×Dic59—41no—
455C22×Dic59—41no—
456C22×Dic59—41no—
457C22×Dic59#4114yes—
458C22×Dic59C2411yescharacteristic
459C22×Dic59C2411yescharacteristic
460C22×Dic59C2411yescharacteristic
461C22×Dic59C2411yescharacteristic
462C22×Dic59C2411yescharacteristic
463C22×Dic59C2411yescharacteristic
464C22×Dic59C2411yescharacteristic
465C22×Dic59C2411yescharacteristic
466C22×Dic59C2411yescharacteristic
467C22×Dic59C2411yescharacteristic
468C22×Dic59C2411yescharacteristic
469C22×Dic59C2411yescharacteristic
470C2×D236—22no—
471C2×D236—22no—
472C2×D236—22no—
473C2×D236—22no—
474C2×D236—41no—
475C2×D236—41no—
476C2×D236—41no—
477C2×D236—41no—
478C2×D236—41no—
479C2×D236—41no—
480C2×D236—41no—
481C2×D236—41no—
482C2×D236—41no—
483C2×D236—41no—
484C2×D236—41no—
485C2×C4×D59—22no—
486C2×C4×D59—22no—
487C2×C4×D59—22no—
488C2×C4×D59—22no—
489C2×C4×D59—22no—
490C2×C4×D59—22no—
491C2×C4×D59—22no—
492C2×C4×D59—22no—
493C2×C4×D59—41no—
494C2×C4×D59—41no—
495C2×C4×D59—41no—
496C2×C4×D59—41no—
497C2×C4×D59—416no—
498C2×C4×D59—41no—
499C2×C4×D59—41no—
500C2×C4×D59—41no—
501C2×C4×D59—41no—
502C2×C4×D59—41no—
503C2×C4×D59—41no—
504C4⋊C4×C59—41no—
505C4⋊C4×C59—41no—
506C4⋊C4×C59—41no—
507C4⋊C4×C59—41no—
508C22⋊C4×C59—22no—
509C22⋊C4×C59—22no—
510C22⋊C4×C59—41no—
511C22⋊C4×C59—41no—
512C22⋊C4×C59—41no—
513C22⋊C4×C59—41no—
514C22⋊C4×C59—41no—
515C22⋊C4×C59—41no—
516C22⋊C4×C59—41no—
517C22⋊C4×C59—41no—
518C22⋊C4×C59—41no—
519C42×C59—41no—
520C22⋊Dic59—22no—
521C22⋊Dic59—22no—
522C22⋊Dic59—22no—
523C22⋊Dic59—22no—
524C22⋊Dic59—41no—
525C22⋊Dic59—41no—
526C22⋊Dic59—41no—
527C22⋊Dic59—41no—
528C22⋊Dic59—41no—
529(C2×D59)⋊C4—22no—
530(C2×D59)⋊C4—22no—
531(C2×D59)⋊C4—22no—
532(C2×D59)⋊C4—22no—
533(C2×D59)⋊C4—22no—
534(C2×D59)⋊C4—22no—
535(C2×D59)⋊C4—41no—
536(C2×D59)⋊C4—41no—
537(C2×D59)⋊C4—41no—
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—
552(C2×D59)⋊C4—41no—
553(C2×D59)⋊C4—41no—
554(C2×D59)⋊C4—41no—
555(C2×D59)⋊C4—41no—
556(C2×D59)⋊C4—41no—
557(C2×D59)⋊C4—41no—
558(C2×D59)⋊C4—41no—
559(C2×D59)⋊C4—41no—
560(C2×D59)⋊C4—41no—
561C4⋊Dic59—41no—
562C4⋊Dic59—41no—
563C4⋊Dic59—41no—
564C4⋊Dic59—41no—
565Dic59⋊C4—22no—
566Dic59⋊C4—22no—
567Dic59⋊C4—41no—
568Dic59⋊C4—41no—
569Dic59⋊C4—41no—
570Dic59⋊C4—41no—
571Dic59⋊C4—41no—
572Dic59⋊C4—41no—
573Dic59⋊C4—41no—
574Dic59⋊C4—41no—
575Dic59⋊C4—41no—
576Dic59⋊C4—41no—
577Dic59⋊C4—41no—
578Dic59⋊C4—41no—
579C4×Dic59—41no—
580C4×Dic59—41no—
581C4×Dic59—41no—
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×C59C2×#4112yes—
601C23×C59H(5,𝔽2)12yes—
602C23×C59H(5,𝔽2)12yes—
603C23×C59C2511yescharacteristic
604C22×D59—28no—
605C22×D59—21no—
606C22×D59—21no—
607C22×D59—21no—
608C22×D59—21no—
609C22×D59—21no—
610C22×D59—21no—
611C22×D59—21no—
612C22×D59—21no—
613C22×D59—21no—
614C22×D59—21no—
615C22×D59—21no—
616C22×D59—21no—
617C22×D59—21no—
618C22×D59—21no—
619C22×D59—21no—
620C22×D59—21no—
621C22×D59—21no—
622C22×D59—21no—
623C22×D59—21no—
624C22×D59—21no—
625C22×D59—21no—
626C22×D59—21no—
627C22×D59—21no—
628C22×D59—21no—
629C22×D59—21no—
630C22×D59—21no—
631C22×D59—44no—
632C22×D59—44no—
633C22×D59—44no—
634C22×D59—44no—
635C22×D59—44no—
636C22×D59—44no—
637C22×D59H(5,𝔽2)12yes—
638C22×D59H(5,𝔽2)12yes—
639D4×C59—44no—
640D4×C59—44no—
641D4×C59—82no—
642C2×C4×C59—21no—
643C2×C4×C59—21no—
644C2×C4×C59—21no—
645C2×C4×C59—21no—
646C2×C4×C59—21no—
647C2×C4×C59—21no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—21no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59—21no—
665C2×C4×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—21no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—44no—
679C2×C4×C59—82no—
680C2×C4×C59—82no—
681C2×C4×C59—82no—
682C22⋊D59—44no—
683C22⋊D59—44no—
684C22⋊D59—82no—
685C22⋊D59—82no—
686C22⋊D59—82no—
687C22⋊D59—82no—
688C22⋊D59—82no—
689C22⋊D59—82no—
690C22⋊D59—82no—
691C22⋊D59—82no—
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—44no—
727C2×Dic59—82no—
728C2×Dic59—82no—
729C2×Dic59—82no—
730C2×Dic59C2×#4112yes—
731C2×Dic59C2×#4112yes—
732D236—82no—
733D236—82no—
734D236—82no—
735D236—82no—
736D236—82no—
737C4×D59—44no—
738C4×D59—44no—
739C4×D59—44no—
740C4×D59—44no—
741C4×D59—82no—
742C4×D59—82no—
743#36731—591nomaximal, Sylow
744C22×C59—22no—
745C22×C59—22no—
746C22×C59—22no—
747C22×C59—22no—
748C22×C59—22no—
749C22×C59—22no—
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#54014yes—
765C22×C59C22×#4111yescharacteristic
766C22×C59C2×H(5,𝔽2)11yescharacteristic
767C22×C59C2×H(5,𝔽2)11yescharacteristic
768C22×C59C2×H(5,𝔽2)11yescharacteristic
769C22×C59C2×H(5,𝔽2)11yescharacteristic
770C22×C59#58511yescharacteristic
771C22×C59#58511yescharacteristic
772C2×D59—22no—
773C2×D59—22no—
774C2×D59—22no—
775C2×D59—22no—
776C2×D59—22no—
777C2×D59—22no—
778C2×D59—416no—
779C2×D59—41no—
780C2×D59—41no—
781C2×D59—41no—
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—
796C2×D59—41no—
797C2×D59—41no—
798C2×D59—41no—
799C2×D59—41no—
800C2×D59—41no—
801C4×C59—41no—
802C4×C59—41no—
803C4×C59—41no—
804C4×C59—41no—
805C4×C59—41no—
806C4×C59—41no—
807C4×C59—41no—
808C4×C59—41no—
809C4×C59—41no—
810C4×C59—41no—
811C4×C59—41no—
812C4×C59—41no—
813Dic59—22no—
814Dic59—22no—
815Dic59—41no—
816Dic59—41no—
817Dic59—41no—
818Dic59—41no—
819Dic59—41no—
820Dic59—41no—
821Dic59—41no—
822Dic59—41no—
823Dic59—41no—
824Dic59—41no—
825#2847—591no—
826#2847—591no—
827#2743—591no—
828#2743—591no—
829#2743—591no—
830#2743—591no—
831#2740—591no—
832#2740—591no—
833#2740—591no—
834#2740—591no—
835#2699—591no—
836#2699—591no—
837#2699—591no—
838#2699—591no—
839#2688—591no—
840#2688—591no—
841#2688—591no—
842#2688—591no—
843#2656—591no—
844#2646—591no—
845#2444—591no—
846#2444—591no—
847#2444—591no—
848#2444D5911yescharacteristic, complemented
849#2424—591no—
850#2424—591no—
851#2424—591no—
852#2424—591no—
853#2325—591no—
854#2325—591no—
855C2×#381—591no—
856C2×C59—24no—
857C2×C59—81no—
858C2×C59—81no—
859C2×C59C2×#54011yescharacteristic
860C2×C59#349011yescharacteristic
861C2×C59#349311yescharacteristic
862C2×C59#353411yescharacteristic
863C2×C59#353411yescharacteristic
864C2×C59#353411yescharacteristic
865C2×C59#353411yescharacteristic
866D59—42no—
867D59—42no—
868D59—81no—
869D59—81no—
870C24×C4—591no—
871C2×#121—591no—
872C2×#121—591no—
873C2×#121—591no—
874C2×#121—591no—
875C2×#121—591no—
876C2×#121—591no—
877C2×#121—591no—
878C2×#121—591no—
879C2×#121—591no—
880C2×#121—591no—
881C2×#121—591no—
882C2×#121—591no—
883C2×#121—591no—
884C2×#121C2×D5911yescharacteristic
885C2×#120—591no—
886C2×#120—591no—
887C2×#120—591no—
888C2×#120—591no—
889C2×C4×D4—591no—
890C2×C4×D4—591no—
891C2×C4×D4—591no—
892C2×C4×D4C2×D5911yescharacteristic
893C22×C22⋊C4—591no—
894C22×C22⋊C4—591no—
895#400—591no—
896#400—591no—
897#400—591no—
898#400—591no—
899#400—591no—
900#400—591no—
901#400—591no—
902#400C2×D5911yescharacteristic, complemented
903#399—591no—
904#399—591no—
905#399—591no—
906#399—591no—
907#398—591no—
908#398—591no—
909#398—591no—
910#398—591no—
911#397—591no—
912#397—591no—
913#397—591no—
914#397—591no—
915#397—591no—
916#397—591no—
917#397C2×D5911yescharacteristic, complemented
918#397C2×D5911yescharacteristic, complemented
919#396—591no—
920#396—591no—
921#396—591no—
922#396—591no—
923#394—591no—
924#394—591no—
925#394—591no—
926#394—591no—
927#394—591no—
928#394—591no—
929#394—591no—
930#394—591no—
931#394—591no—
932#394—591no—
933#394—591no—
934#394C2×D5911yescharacteristic, complemented
935#392—591no—
936#392—591no—
937#392—591no—
938#392—591no—
939#392—591no—
940#392—591no—
941#392—591no—
942#392—591no—
943#390—591no—
944#390—591no—
945#390—591no—
946#390—591no—
947#388—591no—
948#388—591no—
949#388—591no—
950#388—591no—
951#388—591no—
952#388—591no—
953#388—591no—
954#388—591no—
955#388—591no—
956#388—591no—
957#388—591no—
958#388C2×D5911yescharacteristic, complemented
959#387—591no—
960#387—591no—
961#387—591no—
962#387—591no—
963#387—591no—
964#387—591no—
965#387—591no—
966#387C2×D5911yescharacteristic, complemented
967#386—591no—
968#386—591no—
969#386—591no—
970#386—591no—
971#386—591no—
972#386—591no—
973#386—591no—
974#386—591no—
975#386—591no—
976#386—591no—
977#386—591no—
978#386—591no—
979#386—591no—
980#386—591no—
981#386—591no—
982#386—591no—
983#386—591no—
984#386—591no—
985#386—591no—
986#386—591no—
987#386—591no—
988#386—591no—
989#386—591no—
990#386—591no—
991#386C2×D5911yescharacteristic
992#386C2×D5911yescharacteristic
993#386C2×D5911yescharacteristic
994#386C2×D5911yescharacteristic, complemented
995#385—591no—
996#385—591no—
997#385—591no—
998#385—591no—
999#385—591no—
1000#385—591no—
1001#385—591no—
1002#385C2×D5911yescharacteristic
1003#381—591no—
1004#381—591no—
1005#381—591no—
1006#381—591no—
1007#381—591no—
1008#381—591no—
1009#381—591no—
1010#381—591no—
1011#381—591no—
1012#381—591no—
1013#381—591no—
1014#381C2×D5911yescharacteristic, complemented
1015#380—591no—
1016#380—591no—
1017#380—591no—
1018#380—591no—
1019#380—591no—
1020#380—591no—
1021C2×#95—591no—
1022C2×#95—591no—
1023C2×#95—591no—
1024C2×#95C2×D5911yescharacteristic
1025C59#3673111yescharacteristic, complemented, Sylow
1026C25—591no—
1027C22×D4—591no—
1028C22×D4—591no—
1029C22×D4—591no—
1030C22×D4—591no—
1031C22×D4—591no—
1032C22×D4—591no—
1033C22×D4—591no—
1034C22×D4—591no—
1035C22×D4—591no—
1036C22×D4—591no—
1037C22×D4—591no—
1038C22×D4—591no—
1039C22×D4—591no—
1040C22×D4—591no—
1041C22×D4—591no—
1042C22×D4C22×D5911yescharacteristic
1043C22×D4C22×D5911yescharacteristic
1044C22×D4C22×D5911yescharacteristic
1045C23×C4—591no—
1046C23×C4—591no—
1047C23×C4—591no—
1048C23×C4—591no—
1049C23×C4—591no—
1050C23×C4—591no—
1051C23×C4—591no—
1052C23×C4—591no—
1053C23×C4—591no—
1054C23×C4—591no—
1055C23×C4—1184no—
1056C23×C4—2362no—
1057C23×C4—2362no—
1058C23×C4C22×D5911yescharacteristic
1059C23×C4C22×D5911yescharacteristic
1060C23×C4C22×D5911yescharacteristic
1061C23×C4C22×D5911yescharacteristic
1062#121—42no—
1063#121—1184no—
1064#121—1184no—
1065#121—2362no—
1066#121—2362no—
1067#121—2362no—
1068#121—2362no—
1069#121—2362no—
1070#121—2362no—
1071#121—2362no—
1072#121—2362no—
1073#121—2362no—
1074#121—2362no—
1075#121—2362no—
1076#120—2362no—
1077#120—2362no—
1078#120—2362no—
1079#120—2362no—
1080C4×D4—42no—
1081C4×D4—2362no—
1082C4×D4—2362no—
1083C4×D4—2362no—
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—591no—
1095C2×C4⋊C4—591no—
1096C2×C4⋊C4—591no—
1097C2×C4⋊C4—591no—
1098C2×C4⋊C4—591no—
1099C2×C4⋊C4—591no—
1100C2×C4⋊C4—591no—
1101C2×C4⋊C4—591no—
1102C2×C4⋊C4C22×D5911yescharacteristic
1103C2×C4⋊C4C22×D5911yescharacteristic
1104C2×C4⋊C4C22×D5911yescharacteristic
1105C2×C4⋊C4C22×D5911yescharacteristic
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—591no—
1142C2×C22⋊C4—591no—
1143C2×C22⋊C4—591no—
1144C2×C22⋊C4—591no—
1145C2×C22⋊C4—591no—
1146C2×C22⋊C4—591no—
1147C2×C22⋊C4—2362no—
1148C2×C22⋊C4—2362no—
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×C22⋊C4C22×D5911yescharacteristic
1159C2×C22⋊C4C22×D5911yescharacteristic
1160C2×C42—591no—
1161C2×C42—591no—
1162C2×C42—591no—
1163C2×C42C22×D5911yescharacteristic
1164#95—591no—
1165#95—591no—
1166#95—591no—
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#95C22×D5911yescharacteristic
1197#95C22×D5911yescharacteristic
1198#95C22×D5911yescharacteristic
1199#95C22×D5911yescharacteristic
1200#95C22×D5911yescharacteristic
1201#95C22×D5911yescharacteristic
1202#95C22×D5911yescharacteristic
1203#95C22×D5911yescharacteristic
1204#95C22×D5911yescharacteristic
1205#95C22×D5911yescharacteristic
1206#95C22×D5911yescharacteristic
1207#95C22×D5911yescharacteristic
1208C24—591no—
1209C24—591no—
1210C24—591no—
1211C24—591no—
1212C24—1182no—
1213C24—1182no—
1214C24—1182no—
1215C24—1182no—
1216C24—1182no—
1217C24—2361no—
1218C24—2361no—
1219C24C23×D5911yescharacteristic
1220C24C23×D5911yescharacteristic
1221C24C23×D5911yescharacteristic
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—1182no—
1232C2×D4—1182no—
1233C2×D4—1182no—
1234C2×D4—1182no—
1235C2×D4—1182no—
1236C2×D4—1182no—
1237C2×D4—1182no—
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—2361no—
1248C2×D4—2361no—
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—
1271C2×D4—2361no—
1272C2×D4—2361no—
1273C2×D4—2361no—
1274C2×D4—2361no—
1275C2×D4—2361no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—591no—
1289C22×C4—591no—
1290C22×C4—594no—
1291C22×C4—591no—
1292C22×C4—591no—
1293C22×C4—591no—
1294C22×C4—591no—
1295C22×C4—591no—
1296C22×C4—591no—
1297C22×C4—591no—
1298C22×C4—591no—
1299C22×C4—591no—
1300C22×C4—591no—
1301C22×C4—1182no—
1302C22×C4—1182no—
1303C22×C4—1182no—
1304C22×C4—1182no—
1305C22×C4—1182no—
1306C22×C4—1182no—
1307C22×C4—1182no—
1308C22×C4—1182no—
1309C22×C4—1182no—
1310C22×C4—1182no—
1311C22×C4—2361no—
1312C22×C4—2361no—
1313C22×C4—2361no—
1314C22×C4—2361no—
1315C22×C4—2361no—
1316C22×C4—2361no—
1317C22×C4—2361no—
1318C22×C4—2361no—
1319C22×C4—2361no—
1320C22×C4—2361no—
1321C22×C4—23616no—
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×C4C23×D5911yescharacteristic
1332C22×C4C23×D5911yescharacteristic
1333C22×C4C23×D5911yescharacteristic
1334C22×C4C23×D5911yescharacteristic
1335C22×C4C23×D5911yescharacteristic
1336C22×C4C23×D5911yescharacteristic
1337C22×C4C23×D5911yescharacteristic
1338C22×C4C23×D5911yescharacteristic
1339C22×C4C23×D5911yescharacteristic
1340C22×C4C23×D5911yescharacteristic
1341C22×C4C23×D5911yescharacteristic
1342C22×C4C23×D5911yescharacteristic
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—1182no—
1348C4⋊C4—1182no—
1349C4⋊C4—2361no—
1350C4⋊C4—2361no—
1351C4⋊C4—2361no—
1352C4⋊C4—2361no—
1353C4⋊C4—2361no—
1354C4⋊C4—2361no—
1355C4⋊C4—2361no—
1356C4⋊C4—2361no—
1357C4⋊C4—2361no—
1358C4⋊C4—2361no—
1359C4⋊C4—2361no—
1360C4⋊C4—2361no—
1361C4⋊C4—2361no—
1362C4⋊C4—2361no—
1363C4⋊C4—2361no—
1364C4⋊C4—2361no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—1182no—
1377C22⋊C4—1182no—
1378C22⋊C4—1182no—
1379C22⋊C4—1182no—
1380C22⋊C4—1182no—
1381C22⋊C4—1182no—
1382C22⋊C4—1182no—
1383C22⋊C4—1182no—
1384C22⋊C4—1182no—
1385C22⋊C4—1182no—
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—
1407C22⋊C4—2361no—
1408C22⋊C4—2361no—
1409C22⋊C4—2361no—
1410C22⋊C4—2361no—
1411C22⋊C4—2361no—
1412C22⋊C4—2361no—
1413C22⋊C4—2361no—
1414C22⋊C4—2361no—
1415C22⋊C4—2361no—
1416C22⋊C4—2361no—
1417C42—41no—
1418C42—2361no—
1419C42—2361no—
1420C42—2361no—
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—592no—
1440C23—592no—
1441C23—1188no—
1442C23—1181no—
1443C23—1181no—
1444C23—1181no—
1445C23—1181no—
1446C23—1181no—
1447C23—1181no—
1448C23—1181no—
1449C23—1181no—
1450C23—1181no—
1451C23—1181no—
1452C23—1181no—
1453C23—1181no—
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—2364no—
1469C23—2364no—
1470C23—2364no—
1471C23—2364no—
1472C23—2364no—
1473C23—2364no—
1474C23#41×D5912yes—
1475C23#1427377212yes—
1476C23#1427377312yes—
1477C23C24×D5911yescharacteristic
1478D4—44no—
1479D4—44no—
1480D4—82no—
1481D4—4722no—
1482D4—4722no—
1483D4—4722no—
1484D4—4722no—
1485D4—4722no—
1486D4—4722no—
1487D4—4722no—
1488D4—4722no—
1489D4—4722no—
1490D4—4722no—
1491D4—4722no—
1492D4—4722no—
1493D4—4722no—
1494D4—2364no—
1495D4—2364no—
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—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—44no—
1533C2×C4—82no—
1534C2×C4—82no—
1535C2×C4—82no—
1536C2×C4—592no—
1537C2×C4—592no—
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—1181no—
1565C2×C4—1181no—
1566C2×C4—1181no—
1567C2×C4—1181no—
1568C2×C4—1181no—
1569C2×C4—1181no—
1570C2×C4—1181no—
1571C2×C4—1181no—
1572C2×C4—4722no—
1573C2×C4—4722no—
1574C2×C4—4722no—
1575C2×C4—4722no—
1576C2×C4—4722no—
1577C2×C4—2364no—
1578C2×C4—2364no—
1579C2×C4—2364no—
1580C2×C4—2364no—
1581C2×C4—2364no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
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—1182no—
1603C22—1182no—
1604C22—1182no—
1605C22—1182no—
1606C22—1182no—
1607C22—1182no—
1608C22—23616no—
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—2361no—
1622C22—2361no—
1623C22—2361no—
1624C22—2361no—
1625C22—2361no—
1626C22—2361no—
1627C22—2361no—
1628C22—2361no—
1629C22—2361no—
1630C22—2361no—
1631C22#1683800414yes—
1632C22C2×#41×D5911yescharacteristic
1633C22H(5,𝔽2)×D5911yescharacteristic
1634C22H(5,𝔽2)×D5911yescharacteristic
1635C22C2×#1427377211yescharacteristic
1636C22C2×#1427377311yescharacteristic
1637C22#1683823811yescharacteristic
1638C22#1683823811yescharacteristic
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—1182no—
1652C4—1182no—
1653C4—2361no—
1654C4—2361no—
1655C4—2361no—
1656C4—2361no—
1657C4—2361no—
1658C4—2361no—
1659C4—2361no—
1660C4—2361no—
1661C4—2361no—
1662C4—2361no—
1663C2—24no—
1664C2—81no—
1665C2—81no—
1666C2—4721no—
1667C2—4721no—
1668C2—2362no—
1669C2—2362no—
1670C2C2×#1683800411yescharacteristic
1671C2#2143778211yescharacteristic
1672C2#2143780811yescharacteristic
1673C2#2143827311yescharacteristic
1674C2#2143827311yescharacteristic
1675C2#2143828111yescharacteristic
1676C2#2143828111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2444C2
hypercenter#2444D59
hypocenterC59#36731
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2444

Complements

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

NH ≅ G/Ntype
1. #21432377C2semidirect
2. #21432377C2semidirect
3. #21431240C2semidirect
4. #21431236C2semidirect
5. #21431232C2semidirect
6. #21431228C2semidirect
7. #21431201C2semidirect
8. #21431197C2semidirect
9. #21431193C2semidirect
10. #21431189C2semidirect
11. #21430684C2semidirect
12. #21430683C2semidirect
13. #21430680C2semidirect
14. #21430678C2semidirect
15. #21430537C2semidirect
16. #21430533C2semidirect
17. #21430529C2semidirect
18. #21430525C2semidirect
19. #21430200C2semidirect
20. #21430068C2semidirect
21. #21427852C2semidirect
22. #21427846C2semidirect
23. #21427844C2semidirect
24. #21427638C2semidirect
25. #21427634C2semidirect
26. #21427630C2semidirect
27. #21427626C2semidirect
28. #21426797C2semidirect
29. #21426794C2semidirect
30. C2×#16837264C2semidirect
31. C59×#2444C2semidirect
55. #16837344C22semidirect
56. #16837343C22semidirect
57. #16837343C22semidirect
58. #16837343C22semidirect
59. #16837342C22semidirect
60. #16837342C22semidirect
61. #16837340C22semidirect
62. #16837338C22semidirect
63. #16837338C22semidirect
64. #16837337C22semidirect
65. #16837337C22semidirect
66. #16837336C22semidirect
67. #16837335C22semidirect
68. #16837333C22semidirect
69. #16837332C22semidirect
70. #16837331C22semidirect
71. #16837331C22semidirect
72. #16837331C22semidirect
73. #16837330C22semidirect
74. #16837329C22semidirect
75. #16837327C22semidirect
82. #16837320C22semidirect
87. #16837318C22semidirect
90. #16837317C22semidirect
94. #16837311C22semidirect
95. #16837311C22semidirect
97. #16837310C22semidirect
98. #16837310C22semidirect
103. #16837296C22semidirect
104. #16837296C22semidirect
106. #16837294C22semidirect
108. #16837293C22semidirect
111. #16837291C22semidirect
112. #16837291C22semidirect
113. #16837290C22semidirect
114. #16837289C22semidirect
115. #16837289C22semidirect
116. #16837287C22semidirect
117. #16837286C22semidirect
118. #16837284C22semidirect
119. #16837284C22semidirect
120. #16837283C22semidirect
126. #16837281C22semidirect
133. #16837280C22semidirect
136. #16837279C22semidirect
137. #16837279C22semidirect
142. #16837278C22semidirect
143. #16837278C22semidirect
144. #16837278C22semidirect
146. #16837276C22semidirect
148. #16837275C22semidirect
150. #16837274C22semidirect
151. #16837273C22semidirect
160. #16837264C22semidirect
161. #16837264C22semidirect
162. #16837263C22semidirect
174. C59×#400C22semidirect
175. C59×#397C22semidirect
176. C59×#397C22semidirect
177. C59×#394C22semidirect
178. C59×#388C22semidirect
179. C59×#387C22semidirect
183. C59×#386C22semidirect
185. C59×#381C22semidirect
848. #2444D59semidirect
902. #400C2×D59semidirect
917. #397C2×D59semidirect
918. #397C2×D59semidirect
934. #394C2×D59semidirect
958. #388C2×D59semidirect
966. #387C2×D59semidirect
994. #386C2×D59semidirect
1014. #381C2×D59semidirect
1025. C59#36731semidirect

Maximal subgroups

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

subgroupindex
#214323772
#214312402
#214312362
#214312322
#214312282
#214312012
#214311972
#214311932
#214311892
#214306842
#214306832
#214306802
#214306782
#214305372
#214305332
#214305292
#214305252
#214302002
#214300682
#214278522
#214278462
#214278442
#214276382
#214276342
#214276302
#214276262
#214267972
#214267942
C2×#168372642
C59×#24442
#3673159