Finite Group Databasebeta

← #28797498

Subgroups — #28797498

Order 15104.

2142 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432389C211yesmaximal, characteristic, complemented
2#21432379C211yesmaximal, characteristic, complemented
3#21432040C211yesmaximal, characteristic, complemented
4#21431954C211yesmaximal, characteristic, complemented
5#21431848C211yesmaximal, characteristic, complemented
6#21431792C211yesmaximal, characteristic, complemented
7#21431743C211yesmaximal, characteristic, complemented
8#21431721C211yesmaximal, characteristic, complemented
9#21431355C211yesmaximal, characteristic, complemented
10#21431332C211yesmaximal, characteristic, complemented
11#21430890C211yesmaximal, characteristic, complemented
12#21430836C211yesmaximal, characteristic, complemented
13#21430820C211yesmaximal, characteristic, complemented
14#21430819C211yesmaximal, characteristic, complemented
15#21430631C211yesmaximal, characteristic, complemented
16#21430502C211yesmaximal, characteristic, complemented
17#21430462C211yesmaximal, characteristic, complemented
18#21430054C211yesmaximal, characteristic, complemented
19#21430028C211yesmaximal, characteristic, complemented
20#21428360C211yesmaximal, characteristic, complemented
21#21428215C211yesmaximal, characteristic, complemented
22#21427836C211yesmaximal, characteristic, complemented
23#21427771C211yesmaximal, characteristic, complemented
24#21427707C211yesmaximal, characteristic, complemented
25#21427637C211yesmaximal, characteristic, complemented
26#21427480C211yesmaximal, characteristic, complemented
27#21427416C211yesmaximal, characteristic, complemented
28#21426769C211yesmaximal, characteristic, complemented
29#21426687C211yesmaximal, characteristic, complemented
30#385×D59C211yesmaximal, characteristic, complemented
31C59×#2745C211yesmaximal, characteristic, complemented
32C22×#11745689C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34C2×#14273722C2211yescharacteristic, complemented
35C2×#14273713C2211yescharacteristic
36C2×#14273712C2211yescharacteristic
37C2×#14273712C2211yescharacteristic, complemented
38C2×#14273711C2211yescharacteristic
39C2×#14273710C2211yescharacteristic
40C2×#14273705C2211yescharacteristic
41C2×#14273702C2211yescharacteristic
42C2×#14273702C2211yescharacteristic
43C2×#14273702C2211yescharacteristic
44C2×#14273701C2211yescharacteristic
45C2×#14273700C2211yescharacteristic
46C2×#14273697C2211yescharacteristic
47C2×#14273697C2211yescharacteristic
48C2×#14273697C2211yescharacteristic
49C2×C4×D236C2211yescharacteristic
50C2×#14273684C2211yescharacteristic
51C2×C4⋊C4×D59C2211yescharacteristic
52C2×C4⋊C4×D59C2211yescharacteristic
53C2×C22⋊C4×D59C2211yescharacteristic
54C2×C22⋊C4×D59C2211yescharacteristic
55#16837344C2211yescharacteristic, complemented
56#16837344C2211yescharacteristic, complemented
57#16837344C2211yescharacteristic, complemented
58#16837344C2211yescharacteristic, complemented
59#16837343C2211yescharacteristic, complemented
60#16837340C2211yescharacteristic, complemented
61#16837339C2211yescharacteristic, complemented
62#16837335C2211yescharacteristic, complemented
63#16837333C2211yescharacteristic, complemented
64#16837332C2211yescharacteristic, complemented
65#16837331C2211yescharacteristic, complemented
66#16837331C2211yescharacteristic, complemented
67#16837331C2211yescharacteristic, complemented
68#16837329C2211yescharacteristic, complemented
69#16837329C2211yescharacteristic, complemented
70#16837329C2211yescharacteristic, complemented
71#16837329C2211yescharacteristic, complemented
72#16837326C2211yescharacteristic
73#16837326C2211yescharacteristic, complemented
74#16837325C2211yescharacteristic
75#16837324C2211yescharacteristic
76#16837324C2211yescharacteristic, complemented
77#16837323C2211yescharacteristic, complemented
78#16837320C2211yescharacteristic
79#16837320C2211yescharacteristic
80#16837320C2211yescharacteristic, complemented
81#16837320C2211yescharacteristic, complemented
82#16837319C2211yescharacteristic, complemented
83#16837319C2211yescharacteristic, complemented
84#16837318C2211yescharacteristic
85#16837318C2211yescharacteristic
86#16837317C2211yescharacteristic
87#16837317C2211yescharacteristic
88#16837315C2211yescharacteristic
89#16837315C2211yescharacteristic, complemented
90#16837315C2211yescharacteristic, complemented
91#16837313C2211yescharacteristic
92#16837313C2211yescharacteristic, complemented
93#16837312C2211yescharacteristic
94#16837312C2211yescharacteristic
95#16837312C2211yescharacteristic, complemented
96#16837311C2211yescharacteristic
97#16837309C2211yescharacteristic, complemented
98#16837308C2211yescharacteristic, complemented
99#16837304C2211yescharacteristic
100#16837304C2211yescharacteristic
101#16837304C2211yescharacteristic, complemented
102#16837303C2211yescharacteristic
103#16837303C2211yescharacteristic, complemented
104#16837302C2211yescharacteristic
105#16837301C2211yescharacteristic, complemented
106#16837299C2211yescharacteristic, complemented
107#16837299C2211yescharacteristic, complemented
108#16837296C2211yescharacteristic
109#16837294C2211yescharacteristic, complemented
110#16837294C2211yescharacteristic, complemented
111#16837293C2211yescharacteristic, complemented
112#16837292C2211yescharacteristic
113#16837291C2211yescharacteristic
114#16837291C2211yescharacteristic, complemented
115#16837289C2211yescharacteristic, complemented
116#16837289C2211yescharacteristic, complemented
117#16837286C2211yescharacteristic, complemented
118#16837285C2211yescharacteristic, complemented
119#16837280C2211yescharacteristic
120#16837280C2211yescharacteristic
121#16837280C2211yescharacteristic
122#16837280C2211yescharacteristic
123#16837280C2211yescharacteristic
124#16837280C2211yescharacteristic
125#16837280C2211yescharacteristic
126#16837280C2211yescharacteristic
127#16837280C2211yescharacteristic
128#16837280C2211yescharacteristic
129#16837280C2211yescharacteristic
130#16837280C2211yescharacteristic
131#16837280C2211yescharacteristic
132#16837280C2211yescharacteristic
133#16837280C2211yescharacteristic
134#16837280C2211yescharacteristic
135#16837280C2211yescharacteristic
136#16837280C2211yescharacteristic, complemented
137#16837280C2211yescharacteristic, complemented
138#16837279C2211yescharacteristic
139#16837279C2211yescharacteristic
140#16837278C2211yescharacteristic
141#16837278C2211yescharacteristic
142#16837277C2211yescharacteristic
143#16837276C2211yescharacteristic
144#16837276C2211yescharacteristic
145#16837276C2211yescharacteristic
146#16837276C2211yescharacteristic
147#16837276C2211yescharacteristic
148#16837276C2211yescharacteristic
149#16837276C2211yescharacteristic
150#16837276C2211yescharacteristic
151#16837276C2211yescharacteristic, complemented
152#16837276C2211yescharacteristic, complemented
153#16837275C2211yescharacteristic
154#16837274C2211yescharacteristic
155#16837273C2211yescharacteristic
156#16837273C2211yescharacteristic
157#16837273C2211yescharacteristic, complemented
158#16837273C2211yescharacteristic, complemented
159#16837273C2211yescharacteristic, complemented
160#16837264C2211yescharacteristic
161#16837263C2211yescharacteristic
162#16837261C2211yescharacteristic, complemented
163#16837261C2211yescharacteristic, complemented
164#16837261C2211yescharacteristic, complemented
165#16837261C2211yescharacteristic, complemented
166#16837259C2211yescharacteristic
167#16837259C2211yescharacteristic
168#16837257C2211yescharacteristic
169#16837249C2211yescharacteristic
170#95×D59C2211yescharacteristic
171#95×D59C2211yescharacteristic
172C59×#401C2211yescharacteristic, complemented
173C59×#400C2211yescharacteristic, complemented
174C59×#400C2211yescharacteristic, complemented
175C59×#397C2211yescharacteristic
176C59×#395C2211yescharacteristic, complemented
177C59×#393C2211yescharacteristic
178C59×#391C2211yescharacteristic, complemented
179C59×#388C2211yescharacteristic
180C59×#388C2211yescharacteristic
181C59×#387C2211yescharacteristic, complemented
182C59×#387C2211yescharacteristic, complemented
183C59×#387C2211yescharacteristic, complemented
184C59×#385C2211yescharacteristic
185C59×#381C2211yescharacteristic
186C59×#380C2211yescharacteristic
187C24×D59C2311yescharacteristic
188C2×#11745689—24no—
189C2×#11745689—42no—
190C2×#11745689—42no—
191C22×Dic118C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×D236C2311yescharacteristic
198C22×D236C2311yescharacteristic
199C22×D236C2311yescharacteristic
200C22×D236C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C23×Dic59C2311yescharacteristic
205C22×C4×D59—42no—
206C22×C4×D59—42no—
207C22×C4×D59—42no—
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215C22×C4×D59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219#14273722—42no—
220#14273713—42no—
221#14273712—24no—
222#14273712—42no—
223#14273711—42no—
224#14273710—42no—
225#14273705—42no—
226#14273702—42no—
227#14273702—42no—
228#14273702—42no—
229#14273701—42no—
230#14273700—42no—
231#14273697—42no—
232#14273697—42no—
233#14273697—42no—
234C4×D236—42no—
235#14273684—42no—
236C2×C4⋊Dic59C2311yescharacteristic
237C2×C4⋊Dic59C2311yescharacteristic
238C2×C4⋊Dic59C2311yescharacteristic
239C2×C4⋊Dic59C2311yescharacteristic
240C2×C4⋊Dic59C2311yescharacteristic
241C2×C4⋊Dic59C2311yescharacteristic
242C2×C4⋊Dic59C2311yescharacteristic
243C2×C4⋊Dic59C2311yescharacteristic
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×Dic59⋊C4C2311yescharacteristic
255C2×Dic59⋊C4C2311yescharacteristic
256C2×Dic59⋊C4C2311yescharacteristic
257C4⋊C4×D59—42no—
258C4⋊C4×D59—42no—
259C2×C22⋊Dic59C2311yescharacteristic
260C2×C22⋊Dic59C2311yescharacteristic
261C2×C22⋊Dic59C2311yescharacteristic
262C2×(C2×D59)⋊C4C2311yescharacteristic
263C2×(C2×D59)⋊C4C2311yescharacteristic
264C2×(C2×D59)⋊C4C2311yescharacteristic
265C2×(C2×D59)⋊C4C2311yescharacteristic
266C2×(C2×D59)⋊C4C2311yescharacteristic
267C2×(C2×D59)⋊C4C2311yescharacteristic
268C2×(C2×D59)⋊C4C2311yescharacteristic
269C2×(C2×D59)⋊C4C2311yescharacteristic
270C2×(C2×D59)⋊C4C2311yescharacteristic
271C2×(C2×D59)⋊C4C2311yescharacteristic
272C2×(C2×D59)⋊C4C2311yescharacteristic
273C2×(C2×D59)⋊C4C2311yescharacteristic
274C2×(C2×D59)⋊C4C2311yescharacteristic
275C2×(C2×D59)⋊C4C2311yescharacteristic
276C2×(C2×D59)⋊C4C2311yescharacteristic
277C2×(C2×D59)⋊C4C2311yescharacteristic
278C2×(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×(C2×D59)⋊C4C2311yescharacteristic
298C2×(C2×D59)⋊C4C2311yescharacteristic
299C2×(C2×D59)⋊C4C2311yescharacteristic
300C2×(C2×D59)⋊C4C2311yescharacteristic
301C2×(C2×D59)⋊C4C2311yescharacteristic
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C22⋊C4×D59—24no—
304C22⋊C4×D59—42no—
305C2×C4×Dic59C2311yescharacteristic
306C2×C4×Dic59C2311yescharacteristic
307C2×C4×Dic59C2311yescharacteristic
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
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C22×Q8×C59C2311yescharacteristic
335C23×C4×C59C2311yescharacteristic
336C2×C4⋊C4×C59C2311yescharacteristic
337C2×C4⋊C4×C59C2311yescharacteristic
338C2×C4⋊C4×C59C2311yescharacteristic
339C2×C4⋊C4×C59C2311yescharacteristic
340C2×C4⋊C4×C59C2311yescharacteristic
341C2×C4⋊C4×C59C2311yescharacteristic
342C2×C4⋊C4×C59C2311yescharacteristic
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×C42×C59C2311yescharacteristic
350C2×C42×C59C2311yescharacteristic
351#95×C59C2311yescharacteristic
352#95×C59C2311yescharacteristic
353#95×C59C2311yescharacteristic
354#95×C59C2311yescharacteristic
355#95×C59C2311yescharacteristic
356#95×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
370C23×D59—22no—
371C23×D59—22no—
372C23×D59—22no—
373C23×D59—22no—
374C23×D59—22no—
375C23×D59—41no—
376C23×D59—41no—
377C23×D59C2411yescharacteristic
378C23×D59C2411yescharacteristic
379C23×D59C2411yescharacteristic
380C23×D59C2411yescharacteristic
381C23×D59C2411yescharacteristic
382C2×Q8×C59—22no—
383C2×Q8×C59—41no—
384C2×Q8×C59—41no—
385C22×C4×C59—22no—
386C22×C4×C59—22no—
387C22×C4×C59—41no—
388C22×C4×C59C2411yescharacteristic
389C22×C4×C59C2411yescharacteristic
390C22×C4×C59C2411yescharacteristic
391C22×C4×C59C2411yescharacteristic
392C22×C4×C59C2411yescharacteristic
393C22×C4×C59C2411yescharacteristic
394C22×C4×C59C2411yescharacteristic
395C22×C4×C59C2411yescharacteristic
396C22×C4×C59C2411yescharacteristic
397C22×C4×C59C2411yescharacteristic
398C22×C4×C59C2411yescharacteristic
399C22×C4×C59C2411yescharacteristic
400C22×C4×C59C2411yescharacteristic
401C22×C4×C59C2411yescharacteristic
402C2×C22⋊D59—22no—
403C2×C22⋊D59—22no—
404C2×C22⋊D59—22no—
405C2×C22⋊D59—41no—
406C2×C22⋊D59—41no—
407C2×C22⋊D59—41no—
408C2×C22⋊D59—41no—
409C2×C22⋊D59—41no—
410C2×C22⋊D59—41no—
411C22×Dic59—22no—
412C22×Dic59—41no—
413C22×Dic59—41no—
414C22×Dic59C2411yescharacteristic
415C22×Dic59C2411yescharacteristic
416C22×Dic59C2411yescharacteristic
417C22×Dic59C2411yescharacteristic
418C22×Dic59C2411yescharacteristic
419C22×Dic59C2411yescharacteristic
420C22×Dic59C2411yescharacteristic
421C22×Dic59C2411yescharacteristic
422C22×Dic59C2411yescharacteristic
423C22×Dic59C2411yescharacteristic
424C22×Dic59C2411yescharacteristic
425#11745689—416no—
426C2×D236—22no—
427C2×D236—22no—
428C2×D236—22no—
429C2×D236—22no—
430C2×D236—22no—
431C2×D236—22no—
432C2×D236—22no—
433C2×D236—22no—
434C2×D236—22no—
435C2×D236—22no—
436C2×D236—22no—
437C2×D236—22no—
438C2×D236—22no—
439C2×D236—22no—
440C2×D236—41no—
441C2×D236—41no—
442C2×D236—41no—
443C2×D236—41no—
444C2×D236—41no—
445C2×D236—41no—
446C2×D236—41no—
447C2×D236—41no—
448C2×D236—41no—
449C2×D236—41no—
450C2×D236—41no—
451C2×D236—41no—
452C2×D236—41no—
453C2×C4×D59—22no—
454C2×C4×D59—22no—
455C2×C4×D59—22no—
456C2×C4×D59—22no—
457C2×C4×D59—22no—
458C2×C4×D59—22no—
459C2×C4×D59—22no—
460C2×C4×D59—22no—
461C2×C4×D59—22no—
462C2×C4×D59—22no—
463C2×C4×D59—22no—
464C2×C4×D59—41no—
465C2×C4×D59—41no—
466C2×C4×D59—41no—
467C2×C4×D59—41no—
468C2×C4×D59—41no—
469C2×C4×D59—41no—
470C2×C4×D59—41no—
471C2×C4×D59—41no—
472C2×C4×D59—41no—
473C2×C4×D59—41no—
474C2×C4×D59—41no—
475C2×C4×D59—41no—
476C2×C4×D59—41no—
477C2×C4×D59—41no—
478C2×C4×D59—416no—
479C2×C4×D59—41no—
480C2×C4×D59—41no—
481C2×C4×D59—41no—
482C2×C4×D59—41no—
483C2×C4×D59—41no—
484C2×C4×D59—41no—
485C2×C4×D59—41no—
486C2×C4×D59#4114yes—
487C2×Dic118—41no—
488C2×Dic118—41no—
489C2×Dic118—41no—
490C4⋊C4×C59—22no—
491C4⋊C4×C59—22no—
492C4⋊C4×C59—22no—
493C4⋊C4×C59—41no—
494C4⋊C4×C59—41no—
495C4⋊C4×C59—41no—
496C4⋊C4×C59—41no—
497C22⋊C4×C59—22no—
498C22⋊C4×C59—22no—
499C22⋊C4×C59—22no—
500C22⋊C4×C59—41no—
501C22⋊C4×C59—41no—
502C22⋊C4×C59—41no—
503C42×C59—41no—
504C42×C59—41no—
505C22⋊Dic59—22no—
506C22⋊Dic59—22no—
507C22⋊Dic59—41no—
508(C2×D59)⋊C4—22no—
509(C2×D59)⋊C4—22no—
510(C2×D59)⋊C4—22no—
511(C2×D59)⋊C4—22no—
512(C2×D59)⋊C4—22no—
513(C2×D59)⋊C4—22no—
514(C2×D59)⋊C4—22no—
515(C2×D59)⋊C4—22no—
516(C2×D59)⋊C4—22no—
517(C2×D59)⋊C4—22no—
518(C2×D59)⋊C4—22no—
519(C2×D59)⋊C4—41no—
520(C2×D59)⋊C4—41no—
521(C2×D59)⋊C4—41no—
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—
530(C2×D59)⋊C4—41no—
531(C2×D59)⋊C4—41no—
532(C2×D59)⋊C4—41no—
533(C2×D59)⋊C4—41no—
534(C2×D59)⋊C4—41no—
535(C2×D59)⋊C4—41no—
536(C2×D59)⋊C4—41no—
537(C2×D59)⋊C4—41no—
538(C2×D59)⋊C4—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—
549C4⋊Dic59—41no—
550C4⋊Dic59—41no—
551C4⋊Dic59—41no—
552C4⋊Dic59—41no—
553C4⋊Dic59—41no—
554C4⋊Dic59—41no—
555C4⋊Dic59—41no—
556C4⋊Dic59—41no—
557Dic59⋊C4—22no—
558Dic59⋊C4—22no—
559Dic59⋊C4—22no—
560Dic59⋊C4—41no—
561Dic59⋊C4—41no—
562Dic59⋊C4—41no—
563Dic59⋊C4—41no—
564Dic59⋊C4—41no—
565Dic59⋊C4—41no—
566Dic59⋊C4—41no—
567Dic59⋊C4—41no—
568Dic59⋊C4—41no—
569Dic59⋊C4—41no—
570C4×Dic59—41no—
571C4×Dic59—41no—
572C4×Dic59—41no—
573C23×C59—21no—
574C23×C59—21no—
575C23×C59—21no—
576C23×C59—21no—
577C23×C59—21no—
578C23×C59—21no—
579C23×C59H(5,𝔽2)12yes—
580C23×C59C2511yescharacteristic
581C22×D59—21no—
582C22×D59—21no—
583C22×D59—21no—
584C22×D59—21no—
585C22×D59—28no—
586C22×D59—21no—
587C22×D59—21no—
588C22×D59—21no—
589C22×D59—21no—
590C22×D59—21no—
591C22×D59—21no—
592C22×D59—21no—
593C22×D59—21no—
594C22×D59—21no—
595C22×D59—21no—
596C22×D59—21no—
597C22×D59—21no—
598C22×D59—21no—
599C22×D59—21no—
600C22×D59—21no—
601C22×D59—21no—
602C22×D59—21no—
603C22×D59—21no—
604C22×D59—21no—
605C22×D59—21no—
606C22×D59—21no—
607C22×D59—21no—
608C22×D59—21no—
609C22×D59—21no—
610C22×D59—21no—
611C22×D59—21no—
612C22×D59—21no—
613C22×D59—44no—
614C22×D59—44no—
615C22×D59—44no—
616C22×D59—44no—
617C22×D59—44no—
618C22×D59—44no—
619C22×D59C2×#4112yes—
620C22×D59H(5,𝔽2)12yes—
621C22×D59H(5,𝔽2)12yes—
622C22×D592−1+412yes—
623Q8×C59—44no—
624C2×C4×C59—21no—
625C2×C4×C59—21no—
626C2×C4×C59—21no—
627C2×C4×C59—21no—
628C2×C4×C59—21no—
629C2×C4×C59—21no—
630C2×C4×C59—21no—
631C2×C4×C59—21no—
632C2×C4×C59—21no—
633C2×C4×C59—21no—
634C2×C4×C59—21no—
635C2×C4×C59—21no—
636C2×C4×C59—21no—
637C2×C4×C59—21no—
638C2×C4×C59—21no—
639C2×C4×C59—21no—
640C2×C4×C59—21no—
641C2×C4×C59—21no—
642C2×C4×C59—21no—
643C2×C4×C59—21no—
644C2×C4×C59—21no—
645C2×C4×C59—21no—
646C2×C4×C59—21no—
647C2×C4×C59—21no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—21no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—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—44no—
665C2×C4×C59C2×#4112yes—
666C2×C4×C59H(5,𝔽2)12yes—
667C22⋊D59—82no—
668C22⋊D59—82no—
669C22⋊D59—82no—
670C2×Dic59—21no—
671C2×Dic59—21no—
672C2×Dic59—21no—
673C2×Dic59—21no—
674C2×Dic59—21no—
675C2×Dic59—21no—
676C2×Dic59—21no—
677C2×Dic59—21no—
678C2×Dic59—21no—
679C2×Dic59—21no—
680C2×Dic59—21no—
681C2×Dic59—21no—
682C2×Dic59—21no—
683C2×Dic59—21no—
684C2×Dic59—21no—
685C2×Dic59—21no—
686C2×Dic59—21no—
687C2×Dic59—21no—
688C2×Dic59—21no—
689C2×Dic59—21no—
690C2×Dic59—21no—
691C2×Dic59—21no—
692C2×Dic59—21no—
693C2×Dic59—21no—
694C2×Dic59—21no—
695C2×Dic59—21no—
696C2×Dic59—21no—
697C2×Dic59—21no—
698C2×Dic59—21no—
699C2×Dic59—21no—
700C2×Dic59—21no—
701C2×Dic59—21no—
702C2×Dic59—44no—
703C2×Dic59C2×#4112yes—
704D236—44no—
705D236—44no—
706D236—44no—
707D236—44no—
708D236—82no—
709D236—82no—
710D236—82no—
711D236—82no—
712D236—82no—
713C4×D59—28no—
714C4×D59—44no—
715C4×D59—44no—
716C4×D59—44no—
717C4×D59—44no—
718C4×D59—44no—
719C4×D59—44no—
720C4×D59—44no—
721C4×D59—82no—
722C4×D59—82no—
723C4×D59—82no—
724Dic118—82no—
725#36791—591nomaximal, Sylow
726C22×C59—22no—
727C22×C59—22no—
728C22×C59—22no—
729C22×C59—41no—
730C22×C59—41no—
731C22×C59—41no—
732C22×C59—41no—
733C22×C59C22×#4111yescharacteristic
734C22×C59C2×H(5,𝔽2)11yescharacteristic
735C22×C59C2×H(5,𝔽2)11yescharacteristic
736C22×C59C2×H(5,𝔽2)11yescharacteristic
737C22×C59C2×H(5,𝔽2)11yescharacteristic
738C22×C59C2×2−1+411yescharacteristic
739C22×C59#58511yescharacteristic
740C2×D59—22no—
741C2×D59—22no—
742C2×D59—22no—
743C2×D59—22no—
744C2×D59—22no—
745C2×D59—22no—
746C2×D59—22no—
747C2×D59—22no—
748C2×D59—22no—
749C2×D59—416no—
750C2×D59—41no—
751C2×D59—41no—
752C2×D59—41no—
753C2×D59—41no—
754C2×D59—41no—
755C2×D59—41no—
756C2×D59—41no—
757C2×D59—41no—
758C2×D59—41no—
759C2×D59—41no—
760C2×D59—41no—
761C2×D59—41no—
762C2×D59—41no—
763C2×D59—41no—
764C2×D59—41no—
765C2×D59—41no—
766C2×D59—41no—
767C2×D59—41no—
768C2×D59—41no—
769C2×D59—41no—
770C2×D59—41no—
771C2×D59—41no—
772C2×D59—41no—
773C2×D59—41no—
774C2×D59—41no—
775C2×D59#53814yes—
776C4×C59—22no—
777C4×C59—22no—
778C4×C59—41no—
779C4×C59—41no—
780C4×C59—41no—
781C4×C59—41no—
782C4×C59—41no—
783C4×C59—41no—
784C4×C59—41no—
785C4×C59—41no—
786C4×C59—41no—
787C4×C59—41no—
788C4×C59—41no—
789C4×C59—41no—
790Dic59—22no—
791Dic59—41no—
792Dic59—41no—
793Dic59—41no—
794Dic59—41no—
795Dic59—41no—
796Dic59—41no—
797Dic59—41no—
798Dic59—41no—
799Dic59—41no—
800Dic59—41no—
801#2849—591no—
802#2847—591no—
803#2804—591no—
804#2797—591no—
805#2788—591no—
806#2784—591no—
807#2780—591no—
808#2778—591no—
809#2751—591no—
810#2750—591no—
811#2745D5911yescharacteristic, complemented
812#2714—591no—
813#2710—591no—
814#2708—591no—
815#2708—591no—
816#2695—591no—
817#2686—591no—
818#2682—591no—
819#2643—591no—
820#2639—591no—
821#2481—591no—
822#2472—591no—
823#2443—591no—
824#2438—591no—
825#2430—591no—
826#2424—591no—
827#2411—591no—
828#2404—591no—
829#2322—591no—
830#2311—591no—
831C2×#385—591no—
832C2×C59—42no—
833C2×C59C2×#53811yescharacteristic
834C2×C59#349211yescharacteristic
835C2×C59#350611yescharacteristic
836C2×C59#353211yescharacteristic
837C2×C59#353411yescharacteristic
838C2×C59#353511yescharacteristic
839C2×C59#353611yescharacteristic
840D59—24no—
841D59—42no—
842D59—81no—
843D59—81no—
844D59—81no—
845C22×#41—591no—
846C24×C4—591no—
847C2×#126—591no—
848C2×#124—591no—
849C2×#123—591no—
850C2×#123—591no—
851C2×#123—591no—
852C2×#123—591no—
853C2×C22⋊Q8—591no—
854C2×#121—591no—
855C2×#121—591no—
856C2×#121—591no—
857C2×#121—591no—
858C2×#121—591no—
859C2×#120—591no—
860C2×#120—591no—
861C2×#120—591no—
862C2×C4×D4—591no—
863C2×#117—591no—
864C22×C4⋊C4—591no—
865C22×C4⋊C4—591no—
866C22×C22⋊C4—591no—
867C22×C22⋊C4—591no—
868#401C2×D5911yescharacteristic, complemented
869#400—591no—
870#400—591no—
871#400—591no—
872#400—591no—
873#400—591no—
874#400—591no—
875#400C2×D5911yescharacteristic, complemented
876#400C2×D5911yescharacteristic, complemented
877#399—591no—
878#398—591no—
879#398—591no—
880#398—591no—
881#397—591no—
882#397—591no—
883#397—591no—
884#397—591no—
885#397—591no—
886#397—591no—
887#397—591no—
888#397C2×D5911yescharacteristic
889#396—591no—
890#396—591no—
891#396—591no—
892#396—591no—
893#396—591no—
894#395—591no—
895#395C2×D5911yescharacteristic, complemented
896#394—591no—
897#394—591no—
898#394—591no—
899#394—591no—
900#394—591no—
901#394—591no—
902#394—591no—
903#394—591no—
904#394—591no—
905#394—591no—
906#393—591no—
907#393—591no—
908#393—591no—
909#393—591no—
910#393—591no—
911#393C2×D5911yescharacteristic
912#392—591no—
913#392—591no—
914#392—591no—
915#392—591no—
916#391—591no—
917#391—591no—
918#391C2×D5911yescharacteristic, complemented
919#390—591no—
920#390—591no—
921#390—591no—
922#390—591no—
923#390—591no—
924#390—591no—
925#389—591no—
926#389—591no—
927#389—591no—
928#388—591no—
929#388—591no—
930#388—591no—
931#388—591no—
932#388—591no—
933#388—591no—
934#388—591no—
935#388C2×D5911yescharacteristic
936#388C2×D5911yescharacteristic
937#387—591no—
938#387—591no—
939#387—591no—
940#387—591no—
941#387C2×D5911yescharacteristic, complemented
942#387C2×D5911yescharacteristic, complemented
943#387C2×D5911yescharacteristic, complemented
944#386—591no—
945#386—591no—
946#386—591no—
947#386—591no—
948#386—591no—
949#386—591no—
950#386—591no—
951#386—591no—
952#386—591no—
953#386—591no—
954#386—591no—
955#386—591no—
956#386—591no—
957#386—591no—
958#386—591no—
959#386—591no—
960#386—591no—
961#386—591no—
962#386—591no—
963#386—591no—
964#386—591no—
965#386—591no—
966#386—591no—
967#385—591no—
968#385—591no—
969#385—591no—
970#385—591no—
971#385—591no—
972#385—591no—
973#385—591no—
974#385—591no—
975#385—591no—
976#385—591no—
977#385—591no—
978#385—591no—
979#385—591no—
980#385—591no—
981#385—591no—
982#385—591no—
983#385—591no—
984#385—591no—
985#385C2×D5911yescharacteristic
986#381—591no—
987#381—591no—
988#381C2×D5911yescharacteristic
989#380—591no—
990#380—591no—
991#380—591no—
992#380—591no—
993#380—591no—
994#380—591no—
995#380C2×D5911yescharacteristic
996#379—591no—
997C4×C22⋊C4—591no—
998C2×#95—591no—
999C2×#95—591no—
1000C59#3679111yescharacteristic, complemented, Sylow
1001C25—591no—
1002C2×#41—1184no—
1003C2×#41—2362no—
1004C2×#41—2362no—
1005C22×Q8—591no—
1006C22×Q8C22×D5911yescharacteristic
1007C22×D4—591no—
1008C22×D4—591no—
1009C22×D4—591no—
1010C22×D4—591no—
1011C22×D4—591no—
1012C22×D4—591no—
1013C22×D4—591no—
1014C22×D4—591no—
1015C22×D4—591no—
1016C22×D4—591no—
1017C22×D4—591no—
1018C22×D4—591no—
1019C23×C4—591no—
1020C23×C4—591no—
1021C23×C4—591no—
1022C23×C4—591no—
1023C23×C4—591no—
1024C23×C4—591no—
1025C23×C4—591no—
1026C23×C4—591no—
1027C23×C4—591no—
1028C23×C4—591no—
1029C23×C4—591no—
1030C23×C4—591no—
1031C23×C4—2362no—
1032C23×C4—2362no—
1033C23×C4—2362no—
1034C23×C4C22×D5911yescharacteristic
1035#126—2362no—
1036#124—2362no—
1037#123—1184no—
1038#123—2362no—
1039#123—2362no—
1040#123—2362no—
1041C22⋊Q8—2362no—
1042#121—2362no—
1043#121—2362no—
1044#121—2362no—
1045#121—2362no—
1046#121—2362no—
1047#120—2362no—
1048#120—2362no—
1049#120—2362no—
1050C4×D4—2362no—
1051#117—2362no—
1052C2×C4⋊C4—591no—
1053C2×C4⋊C4—591no—
1054C2×C4⋊C4—591no—
1055C2×C4⋊C4—591no—
1056C2×C4⋊C4—591no—
1057C2×C4⋊C4—591no—
1058C2×C4⋊C4—591no—
1059C2×C4⋊C4—591no—
1060C2×C4⋊C4—591no—
1061C2×C4⋊C4—591no—
1062C2×C4⋊C4—591no—
1063C2×C4⋊C4—591no—
1064C2×C4⋊C4—591no—
1065C2×C4⋊C4—591no—
1066C2×C4⋊C4—591no—
1067C2×C4⋊C4—591no—
1068C2×C4⋊C4—591no—
1069C2×C4⋊C4—591no—
1070C2×C4⋊C4—591no—
1071C2×C4⋊C4—591no—
1072C2×C4⋊C4—591no—
1073C2×C4⋊C4—2362no—
1074C2×C4⋊C4—2362no—
1075C2×C4⋊C4C22×D5911yescharacteristic
1076C2×C4⋊C4C22×D5911yescharacteristic
1077C2×C4⋊C4C22×D5911yescharacteristic
1078C2×C4⋊C4C22×D5911yescharacteristic
1079C2×C4⋊C4C22×D5911yescharacteristic
1080C2×C4⋊C4C22×D5911yescharacteristic
1081C2×C4⋊C4C22×D5911yescharacteristic
1082C2×C22⋊C4—591no—
1083C2×C22⋊C4—591no—
1084C2×C22⋊C4—591no—
1085C2×C22⋊C4—591no—
1086C2×C22⋊C4—591no—
1087C2×C22⋊C4—591no—
1088C2×C22⋊C4—591no—
1089C2×C22⋊C4—591no—
1090C2×C22⋊C4—591no—
1091C2×C22⋊C4—591no—
1092C2×C22⋊C4—591no—
1093C2×C22⋊C4—591no—
1094C2×C22⋊C4—591no—
1095C2×C22⋊C4—591no—
1096C2×C22⋊C4—591no—
1097C2×C22⋊C4—591no—
1098C2×C22⋊C4—591no—
1099C2×C22⋊C4—591no—
1100C2×C22⋊C4—591no—
1101C2×C22⋊C4—591no—
1102C2×C22⋊C4—591no—
1103C2×C22⋊C4—591no—
1104C2×C22⋊C4—591no—
1105C2×C22⋊C4—591no—
1106C2×C22⋊C4—591no—
1107C2×C22⋊C4—591no—
1108C2×C22⋊C4—591no—
1109C2×C22⋊C4—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—1184no—
1127C2×C22⋊C4—2362no—
1128C2×C22⋊C4C22×D5911yescharacteristic
1129C2×C22⋊C4C22×D5911yescharacteristic
1130C2×C22⋊C4C22×D5911yescharacteristic
1131C2×C22⋊C4C22×D5911yescharacteristic
1132C2×C22⋊C4C22×D5911yescharacteristic
1133C2×C22⋊C4C22×D5911yescharacteristic
1134C2×C42—591no—
1135C2×C42—591no—
1136C2×C42—591no—
1137C2×C42C22×D5911yescharacteristic
1138C2×C42C22×D5911yescharacteristic
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#95—591no—
1155#95—591no—
1156#95—591no—
1157#95—591no—
1158#95—591no—
1159#95—591no—
1160#95—591no—
1161#95—591no—
1162#95—591no—
1163#95—591no—
1164#95—591no—
1165#95C22×D5911yescharacteristic
1166#95C22×D5911yescharacteristic
1167#95C22×D5911yescharacteristic
1168#95C22×D5911yescharacteristic
1169#95C22×D5911yescharacteristic
1170#95C22×D5911yescharacteristic
1171#95C22×D5911yescharacteristic
1172#95C22×D5911yescharacteristic
1173#95C22×D5911yescharacteristic
1174#95C22×D5911yescharacteristic
1175#95C22×D5911yescharacteristic
1176#95C22×D5911yescharacteristic
1177#95C22×D5911yescharacteristic
1178#95C22×D5911yescharacteristic
1179#95C22×D5911yescharacteristic
1180#95C22×D5911yescharacteristic
1181#95C22×D5911yescharacteristic
1182#95C22×D5911yescharacteristic
1183C24—591no—
1184C24—591no—
1185C24—591no—
1186C24—591no—
1187C24—591no—
1188C24—1182no—
1189C24—1182no—
1190C24—1182no—
1191C24—1182no—
1192C24—1182no—
1193C24—2361no—
1194C24—2361no—
1195C24C23×D5911yescharacteristic
1196#41—23616no—
1197C2×Q8—22no—
1198C2×Q8—41no—
1199C2×Q8—41no—
1200C2×Q8—2361no—
1201C2×Q8—2361no—
1202C2×Q8—2361no—
1203C2×D4—1182no—
1204C2×D4—1182no—
1205C2×D4—1182no—
1206C2×D4—1182no—
1207C2×D4—1182no—
1208C2×D4—1182no—
1209C2×D4—1182no—
1210C2×D4—1182no—
1211C2×D4—1182no—
1212C2×D4—1182no—
1213C2×D4—1182no—
1214C2×D4—1182no—
1215C2×D4—1182no—
1216C2×D4—1182no—
1217C2×D4—1182no—
1218C2×D4—1182no—
1219C2×D4—1182no—
1220C2×D4—2361no—
1221C2×D4—2361no—
1222C2×D4—2361no—
1223C2×D4—2361no—
1224C2×D4—2361no—
1225C2×D4—2361no—
1226C2×D4—2361no—
1227C2×D4—2361no—
1228C2×D4—2361no—
1229C2×D4—2361no—
1230C2×D4—2361no—
1231C2×D4—2361no—
1232C2×D4—2361no—
1233C2×D4—2361no—
1234C2×D4—2361no—
1235C2×D4—2361no—
1236C2×D4—2361no—
1237C2×D4—2361no—
1238C2×D4—2361no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—41no—
1242C22×C4—591no—
1243C22×C4—594no—
1244C22×C4—591no—
1245C22×C4—591no—
1246C22×C4—591no—
1247C22×C4—591no—
1248C22×C4—591no—
1249C22×C4—591no—
1250C22×C4—591no—
1251C22×C4—591no—
1252C22×C4—591no—
1253C22×C4—591no—
1254C22×C4—1182no—
1255C22×C4—1182no—
1256C22×C4—1182no—
1257C22×C4—1182no—
1258C22×C4—1182no—
1259C22×C4—1182no—
1260C22×C4—1182no—
1261C22×C4—1182no—
1262C22×C4—1182no—
1263C22×C4—1182no—
1264C22×C4—1182no—
1265C22×C4—1182no—
1266C22×C4—2361no—
1267C22×C4—2361no—
1268C22×C4—2361no—
1269C22×C4—2361no—
1270C22×C4—2361no—
1271C22×C4—2361no—
1272C22×C4—2361no—
1273C22×C4—2361no—
1274C22×C4—2361no—
1275C22×C4—2361no—
1276C22×C4—2361no—
1277C22×C4—2361no—
1278C22×C4—2361no—
1279C22×C4—2361no—
1280C22×C4—2361no—
1281C22×C4—2361no—
1282C22×C4—2361no—
1283C22×C4—2361no—
1284C22×C4—2361no—
1285C22×C4—2361no—
1286C22×C4—2361no—
1287C22×C4—23616no—
1288C22×C4—2361no—
1289C22×C4—2361no—
1290C22×C4C23×D5911yescharacteristic
1291C22×C4C23×D5911yescharacteristic
1292C22×C4C23×D5911yescharacteristic
1293C22×C4C23×D5911yescharacteristic
1294C22×C4C23×D5911yescharacteristic
1295C22×C4C23×D5911yescharacteristic
1296C22×C4C23×D5911yescharacteristic
1297C22×C4C23×D5911yescharacteristic
1298C22×C4C23×D5911yescharacteristic
1299C22×C4C23×D5911yescharacteristic
1300C22×C4C23×D5911yescharacteristic
1301C22×C4C23×D5911yescharacteristic
1302C22×C4C23×D5911yescharacteristic
1303C22×C4C23×D5911yescharacteristic
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—1182no—
1312C4⋊C4—1182no—
1313C4⋊C4—1182no—
1314C4⋊C4—2361no—
1315C4⋊C4—2361no—
1316C4⋊C4—2361no—
1317C4⋊C4—2361no—
1318C4⋊C4—2361no—
1319C4⋊C4—2361no—
1320C4⋊C4—2361no—
1321C4⋊C4—2361no—
1322C4⋊C4—2361no—
1323C4⋊C4—2361no—
1324C4⋊C4—2361no—
1325C4⋊C4—2361no—
1326C4⋊C4—2361no—
1327C4⋊C4—2361no—
1328C4⋊C4—2361no—
1329C4⋊C4—2361no—
1330C4⋊C4—2361no—
1331C4⋊C4—2361no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—1182no—
1339C22⋊C4—1182no—
1340C22⋊C4—1182no—
1341C22⋊C4—1182no—
1342C22⋊C4—1182no—
1343C22⋊C4—1182no—
1344C22⋊C4—1182no—
1345C22⋊C4—1182no—
1346C22⋊C4—1182no—
1347C22⋊C4—1182no—
1348C22⋊C4—1182no—
1349C22⋊C4—1182no—
1350C22⋊C4—1182no—
1351C22⋊C4—2361no—
1352C22⋊C4—2361no—
1353C22⋊C4—2361no—
1354C22⋊C4—2361no—
1355C22⋊C4—2361no—
1356C22⋊C4—2361no—
1357C22⋊C4—2361no—
1358C22⋊C4—2361no—
1359C22⋊C4—2361no—
1360C22⋊C4—2361no—
1361C22⋊C4—2361no—
1362C22⋊C4—2361no—
1363C22⋊C4—2361no—
1364C22⋊C4—2361no—
1365C22⋊C4—2361no—
1366C22⋊C4—2361no—
1367C22⋊C4—2361no—
1368C22⋊C4—2361no—
1369C22⋊C4—2361no—
1370C22⋊C4—2361no—
1371C22⋊C4—2361no—
1372C22⋊C4—2361no—
1373C22⋊C4—2361no—
1374C22⋊C4—2361no—
1375C22⋊C4—2361no—
1376C22⋊C4—2361no—
1377C22⋊C4—2361no—
1378C22⋊C4—2361no—
1379C22⋊C4—2361no—
1380C22⋊C4—2361no—
1381C22⋊C4—2361no—
1382C42—41no—
1383C42—41no—
1384C42—2361no—
1385C42—2361no—
1386C42—2361no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—592no—
1394C23—592no—
1395C23—592no—
1396C23—592no—
1397C23—1188no—
1398C23—1181no—
1399C23—1181no—
1400C23—1181no—
1401C23—1181no—
1402C23—1181no—
1403C23—1181no—
1404C23—1181no—
1405C23—1181no—
1406C23—1181no—
1407C23—1181no—
1408C23—1181no—
1409C23—1181no—
1410C23—1181no—
1411C23—1181no—
1412C23—1181no—
1413C23—1181no—
1414C23—1181no—
1415C23—1181no—
1416C23—1181no—
1417C23—1181no—
1418C23—1181no—
1419C23—1181no—
1420C23—1181no—
1421C23—1181no—
1422C23—1181no—
1423C23—1181no—
1424C23—1181no—
1425C23—1181no—
1426C23—1181no—
1427C23—1181no—
1428C23—1181no—
1429C23—2364no—
1430C23—2364no—
1431C23—2364no—
1432C23—2364no—
1433C23—2364no—
1434C23—2364no—
1435C23#1427377312yes—
1436C23C24×D5911yescharacteristic
1437Q8—44no—
1438Q8—4722no—
1439D4—4722no—
1440D4—4722no—
1441D4—4722no—
1442D4—4722no—
1443D4—4722no—
1444D4—4722no—
1445D4—4722no—
1446D4—4722no—
1447D4—2364no—
1448D4—2364no—
1449D4—2364no—
1450D4—2364no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—44no—
1492C2×C4—592no—
1493C2×C4—1188no—
1494C2×C4—1181no—
1495C2×C4—1181no—
1496C2×C4—1181no—
1497C2×C4—1181no—
1498C2×C4—1181no—
1499C2×C4—1181no—
1500C2×C4—1181no—
1501C2×C4—1181no—
1502C2×C4—1181no—
1503C2×C4—1181no—
1504C2×C4—1181no—
1505C2×C4—1181no—
1506C2×C4—1181no—
1507C2×C4—1181no—
1508C2×C4—1181no—
1509C2×C4—1181no—
1510C2×C4—1181no—
1511C2×C4—1181no—
1512C2×C4—1181no—
1513C2×C4—1181no—
1514C2×C4—1181no—
1515C2×C4—1181no—
1516C2×C4—1181no—
1517C2×C4—1181no—
1518C2×C4—1181no—
1519C2×C4—1181no—
1520C2×C4—1181no—
1521C2×C4—1181no—
1522C2×C4—1181no—
1523C2×C4—1181no—
1524C2×C4—1181no—
1525C2×C4—1181no—
1526C2×C4—4722no—
1527C2×C4—4722no—
1528C2×C4—4722no—
1529C2×C4—2364no—
1530C2×C4—2364no—
1531C2×C4—2364no—
1532C2×C4—2364no—
1533C2×C4—2364no—
1534C2×C4—2364no—
1535C2×C4—2364no—
1536C2×C4—2364no—
1537C2×C4#41×D5912yes—
1538C2×C4#1427377312yes—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—594no—
1547C22—1182no—
1548C22—1182no—
1549C22—1182no—
1550C22—1182no—
1551C22—1182no—
1552C22—1182no—
1553C22—1182no—
1554C22—1182no—
1555C22—1182no—
1556C22—23616no—
1557C22—2361no—
1558C22—2361no—
1559C22—2361no—
1560C22—2361no—
1561C22—2361no—
1562C22—2361no—
1563C22—2361no—
1564C22—2361no—
1565C22—2361no—
1566C22—2361no—
1567C22—2361no—
1568C22—2361no—
1569C22—2361no—
1570C22—2361no—
1571C22—2361no—
1572C22—2361no—
1573C22—2361no—
1574C22—2361no—
1575C22—2361no—
1576C22—2361no—
1577C22—2361no—
1578C22—2361no—
1579C22—2361no—
1580C22—2361no—
1581C22—2361no—
1582C22C2×#41×D5911yescharacteristic
1583C22H(5,𝔽2)×D5911yescharacteristic
1584C22H(5,𝔽2)×D5911yescharacteristic
1585C22C2×#1427377311yescharacteristic
1586C22C2×#1427377311yescharacteristic
1587C222−1+4×D5911yescharacteristic
1588C22#1683823911yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—1182no—
1604C4—2361no—
1605C4—2361no—
1606C4—2361no—
1607C4—2361no—
1608C4—2361no—
1609C4—2361no—
1610C4—2361no—
1611C4—2361no—
1612C4—2361no—
1613C4—2361no—
1614C2—42no—
1615C2—1184no—
1616C2—4721no—
1617C2—4721no—
1618C2—4721no—
1619C2—2362no—
1620C2#538×D5911yescharacteristic
1621C2#2143779611yescharacteristic
1622C2#2143794911yescharacteristic
1623C2#2143825211yescharacteristic
1624C2#2143828411yescharacteristic
1625C2#2143830711yescharacteristic
1626C2#2143832111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2745C2
hypercenter#2745D59
hypocenterC59#36791
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2745

Complements

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

NH ≅ G/Ntype
1. #21432389C2semidirect
2. #21432379C2semidirect
3. #21432040C2semidirect
4. #21431954C2semidirect
5. #21431848C2semidirect
6. #21431792C2semidirect
7. #21431743C2semidirect
8. #21431721C2semidirect
9. #21431355C2semidirect
10. #21431332C2semidirect
11. #21430890C2semidirect
12. #21430836C2semidirect
13. #21430820C2semidirect
14. #21430819C2semidirect
15. #21430631C2semidirect
16. #21430502C2semidirect
17. #21430462C2semidirect
18. #21430054C2semidirect
19. #21430028C2semidirect
20. #21428360C2semidirect
21. #21428215C2semidirect
22. #21427836C2semidirect
23. #21427771C2semidirect
24. #21427707C2semidirect
25. #21427637C2semidirect
26. #21427480C2semidirect
27. #21427416C2semidirect
28. #21426769C2semidirect
29. #21426687C2semidirect
30. #385×D59C2semidirect
31. C59×#2745C2semidirect
34. C2×#14273722C22semidirect
37. C2×#14273712C22semidirect
55. #16837344C22semidirect
56. #16837344C22semidirect
57. #16837344C22semidirect
58. #16837344C22semidirect
59. #16837343C22semidirect
60. #16837340C22semidirect
61. #16837339C22semidirect
62. #16837335C22semidirect
63. #16837333C22semidirect
64. #16837332C22semidirect
65. #16837331C22semidirect
66. #16837331C22semidirect
67. #16837331C22semidirect
68. #16837329C22semidirect
69. #16837329C22semidirect
70. #16837329C22semidirect
71. #16837329C22semidirect
73. #16837326C22semidirect
76. #16837324C22semidirect
77. #16837323C22semidirect
80. #16837320C22semidirect
81. #16837320C22semidirect
82. #16837319C22semidirect
83. #16837319C22semidirect
89. #16837315C22semidirect
90. #16837315C22semidirect
92. #16837313C22semidirect
95. #16837312C22semidirect
97. #16837309C22semidirect
98. #16837308C22semidirect
101. #16837304C22semidirect
103. #16837303C22semidirect
105. #16837301C22semidirect
106. #16837299C22semidirect
107. #16837299C22semidirect
109. #16837294C22semidirect
110. #16837294C22semidirect
111. #16837293C22semidirect
114. #16837291C22semidirect
115. #16837289C22semidirect
116. #16837289C22semidirect
117. #16837286C22semidirect
118. #16837285C22semidirect
136. #16837280C22semidirect
137. #16837280C22semidirect
151. #16837276C22semidirect
152. #16837276C22semidirect
157. #16837273C22semidirect
158. #16837273C22semidirect
159. #16837273C22semidirect
162. #16837261C22semidirect
163. #16837261C22semidirect
164. #16837261C22semidirect
165. #16837261C22semidirect
172. C59×#401C22semidirect
173. C59×#400C22semidirect
174. C59×#400C22semidirect
176. C59×#395C22semidirect
178. C59×#391C22semidirect
181. C59×#387C22semidirect
182. C59×#387C22semidirect
183. C59×#387C22semidirect
811. #2745D59semidirect
868. #401C2×D59semidirect
875. #400C2×D59semidirect
876. #400C2×D59semidirect
895. #395C2×D59semidirect
918. #391C2×D59semidirect
941. #387C2×D59semidirect
942. #387C2×D59semidirect
943. #387C2×D59semidirect
1000. C59#36791semidirect

Maximal subgroups

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

subgroupindex
#214323892
#214323792
#214320402
#214319542
#214318482
#214317922
#214317432
#214317212
#214313552
#214313322
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