Finite Group Databasebeta

← #28797490

Subgroups — #28797490

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#21432375C211yesmaximal, characteristic, complemented
3#21432037C211yesmaximal, characteristic, complemented
4#21431946C211yesmaximal, characteristic, complemented
5#21431836C211yesmaximal, characteristic, complemented
6#21431799C211yesmaximal, characteristic, complemented
7#21431740C211yesmaximal, characteristic, complemented
8#21431712C211yesmaximal, characteristic, complemented
9#21431351C211yesmaximal, characteristic, complemented
10#21431328C211yesmaximal, characteristic, complemented
11#21431265C211yesmaximal, characteristic, complemented
12#21430897C211yesmaximal, characteristic, complemented
13#21430832C211yesmaximal, characteristic, complemented
14#21430816C211yesmaximal, characteristic, complemented
15#21430812C211yesmaximal, characteristic, complemented
16#21430635C211yesmaximal, characteristic, complemented
17#21430457C211yesmaximal, characteristic, complemented
18#21430048C211yesmaximal, characteristic, complemented
19#21430025C211yesmaximal, characteristic, complemented
20#21428355C211yesmaximal, characteristic, complemented
21#21428218C211yesmaximal, characteristic, complemented
22#21427824C211yesmaximal, characteristic, complemented
23#21427765C211yesmaximal, characteristic, complemented
24#21427703C211yesmaximal, characteristic, complemented
25#21427633C211yesmaximal, characteristic, complemented
26#21427474C211yesmaximal, characteristic, complemented
27#21427413C211yesmaximal, characteristic, complemented
28#21426766C211yesmaximal, characteristic, complemented
29#21426685C211yesmaximal, characteristic, complemented
30#385×D59C211yesmaximal, characteristic, complemented
31C59×#2686C211yesmaximal, characteristic, complemented
32C22×#11745685C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34C2×#14273722C2211yescharacteristic, complemented
35C2×#14273711C2211yescharacteristic
36C2×#14273710C2211yescharacteristic
37C2×#14273709C2211yescharacteristic
38C2×#14273708C2211yescharacteristic, complemented
39C2×#14273703C2211yescharacteristic
40C2×#14273700C2211yescharacteristic
41C2×#14273699C2211yescharacteristic
42C2×#14273698C2211yescharacteristic
43C2×#14273698C2211yescharacteristic
44C2×#14273697C2211yescharacteristic
45C2×#14273695C2211yescharacteristic
46C2×#14273695C2211yescharacteristic
47C2×(C22⋊D59)⋊C4C2211yescharacteristic
48C2×#14273685C2211yescharacteristic
49C2×C4⋊C4×D59C2211yescharacteristic
50C2×C4⋊C4×D59C2211yescharacteristic
51C2×C22⋊C4×D59C2211yescharacteristic
52C2×C22⋊C4×D59C2211yescharacteristic
53C59⋊#401C2211yescharacteristic, complemented
54#16837344C2211yescharacteristic, complemented
55#16837344C2211yescharacteristic, complemented
56#16837343C2211yescharacteristic, complemented
57#16837343C2211yescharacteristic, complemented
58#16837343C2211yescharacteristic, complemented
59#16837342C2211yescharacteristic, complemented
60#16837342C2211yescharacteristic, complemented
61#16837341C2211yescharacteristic, complemented
62#16837338C2211yescharacteristic, complemented
63#16837335C2211yescharacteristic, complemented
64#16837335C2211yescharacteristic, complemented
65#16837334C2211yescharacteristic, complemented
66#16837330C2211yescharacteristic
67#16837330C2211yescharacteristic, complemented
68#16837330C2211yescharacteristic, complemented
69#16837329C2211yescharacteristic, complemented
70#16837329C2211yescharacteristic, complemented
71#16837327C2211yescharacteristic, complemented
72#16837327C2211yescharacteristic, complemented
73#16837326C2211yescharacteristic
74#16837325C2211yescharacteristic
75#16837325C2211yescharacteristic, complemented
76#16837324C2211yescharacteristic
77#16837324C2211yescharacteristic, complemented
78#16837323C2211yescharacteristic, complemented
79#16837318C2211yescharacteristic
80#16837318C2211yescharacteristic
81#16837318C2211yescharacteristic, complemented
82#16837317C2211yescharacteristic
83#16837317C2211yescharacteristic, complemented
84#16837317C2211yescharacteristic, complemented
85#16837316C2211yescharacteristic
86#16837315C2211yescharacteristic
87#16837314C2211yescharacteristic
88#16837314C2211yescharacteristic, complemented
89#16837313C2211yescharacteristic
90#16837313C2211yescharacteristic, complemented
91#16837311C2211yescharacteristic
92#16837311C2211yescharacteristic
93#16837310C2211yescharacteristic
94#16837310C2211yescharacteristic, complemented
95#16837309C2211yescharacteristic, complemented
96#16837306C2211yescharacteristic, complemented
97#16837306C2211yescharacteristic, complemented
98#16837305C2211yescharacteristic
99#16837303C2211yescharacteristic
100#16837302C2211yescharacteristic
101#16837302C2211yescharacteristic
102#16837302C2211yescharacteristic, complemented
103#16837302C2211yescharacteristic, complemented
104#16837300C2211yescharacteristic, complemented
105#16837297C2211yescharacteristic, complemented
106#16837297C2211yescharacteristic, complemented
107#16837296C2211yescharacteristic, complemented
108#16837295C2211yescharacteristic
109#16837295C2211yescharacteristic
110#16837295C2211yescharacteristic, complemented
111#16837294C2211yescharacteristic
112#16837293C2211yescharacteristic
113#16837293C2211yescharacteristic, complemented
114#16837290C2211yescharacteristic
115#16837289C2211yescharacteristic, complemented
116#16837289C2211yescharacteristic, complemented
117#16837288C2211yescharacteristic, complemented
118#16837287C2211yescharacteristic, complemented
119#16837287C2211yescharacteristic, complemented
120#16837285C2211yescharacteristic, complemented
121#16837282C2211yescharacteristic
122#16837282C2211yescharacteristic
123#16837281C2211yescharacteristic
124#16837280C2211yescharacteristic
125#16837280C2211yescharacteristic
126#16837280C2211yescharacteristic
127#16837280C2211yescharacteristic
128#16837280C2211yescharacteristic
129#16837280C2211yescharacteristic
130#16837280C2211yescharacteristic
131#16837279C2211yescharacteristic
132#16837278C2211yescharacteristic
133#16837278C2211yescharacteristic
134#16837278C2211yescharacteristic
135#16837278C2211yescharacteristic
136#16837278C2211yescharacteristic
137#16837278C2211yescharacteristic
138#16837278C2211yescharacteristic
139#16837278C2211yescharacteristic
140#16837278C2211yescharacteristic
141#16837278C2211yescharacteristic, complemented
142#16837277C2211yescharacteristic
143#16837277C2211yescharacteristic, complemented
144#16837277C2211yescharacteristic, complemented
145#16837276C2211yescharacteristic
146#16837276C2211yescharacteristic
147#16837276C2211yescharacteristic
148#16837276C2211yescharacteristic
149#16837276C2211yescharacteristic
150#16837276C2211yescharacteristic
151#16837276C2211yescharacteristic
152#16837276C2211yescharacteristic, complemented
153#16837275C2211yescharacteristic
154#16837275C2211yescharacteristic, complemented
155#16837274C2211yescharacteristic
156#16837274C2211yescharacteristic, complemented
157#16837273C2211yescharacteristic
158#16837273C2211yescharacteristic
159#16837273C2211yescharacteristic
160#16837264C2211yescharacteristic
161#16837263C2211yescharacteristic
162#16837262C2211yescharacteristic
163#16837262C2211yescharacteristic, complemented
164#16837259C2211yescharacteristic
165#16837259C2211yescharacteristic
166#16837259C2211yescharacteristic, complemented
167#16837259C2211yescharacteristic, complemented
168#16837257C2211yescharacteristic
169C4×(C2×D59)⋊C4C2211yescharacteristic
170#95×D59C2211yescharacteristic
171#95×D59C2211yescharacteristic
172C2×#124×C59C2211yescharacteristic
173C2×#121×C59C2211yescharacteristic
174C59×#397C2211yescharacteristic, complemented
175C59×#395C2211yescharacteristic, complemented
176C59×#394C2211yescharacteristic
177C59×#394C2211yescharacteristic
178C59×#394C2211yescharacteristic, complemented
179C59×#393C2211yescharacteristic, complemented
180C59×#388C2211yescharacteristic, complemented
181C59×#387C2211yescharacteristic, complemented
182C59×#386C2211yescharacteristic
183C59×#386C2211yescharacteristic, complemented
184C59×#385C2211yescharacteristic
185C59×#381C2211yescharacteristic
186C59×#380C2211yescharacteristic, complemented
187C24×D59C2311yescharacteristic
188C2×#11745685—24no—
189C2×#11745685—42no—
190C2×#11745685—42no—
191C22×Dic118C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C23×Dic59C2311yescharacteristic
202C23×Dic59C2311yescharacteristic
203C22×C4×D59—42no—
204C22×C4×D59—42no—
205C22×C4×D59—42no—
206C22×C4×D59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215#14273722—42no—
216#14273711—42no—
217#14273710—42no—
218#14273709—24no—
219#14273708—42no—
220#14273703—42no—
221#14273700—42no—
222#14273699—42no—
223#14273698—42no—
224#14273698—42no—
225#14273697—42no—
226#14273695—42no—
227#14273695—42no—
228(C22⋊D59)⋊C4—42no—
229#14273685—42no—
230C2×C4⋊Dic59C2311yescharacteristic
231C2×C4⋊Dic59C2311yescharacteristic
232C2×C4⋊Dic59C2311yescharacteristic
233C2×C4⋊Dic59C2311yescharacteristic
234C2×C4⋊Dic59C2311yescharacteristic
235C2×C4⋊Dic59C2311yescharacteristic
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
253C4⋊C4×D59—42no—
254C4⋊C4×D59—42no—
255C2×C22⋊Dic59C2311yescharacteristic
256C2×C22⋊Dic59C2311yescharacteristic
257C2×C22⋊Dic59C2311yescharacteristic
258C2×C22⋊Dic59C2311yescharacteristic
259C2×C22⋊Dic59C2311yescharacteristic
260C2×C22⋊Dic59C2311yescharacteristic
261C2×C22⋊Dic59C2311yescharacteristic
262C2×C22⋊Dic59C2311yescharacteristic
263C2×C22⋊Dic59C2311yescharacteristic
264C2×C22⋊Dic59C2311yescharacteristic
265C2×C22⋊Dic59C2311yescharacteristic
266C2×C22⋊Dic59C2311yescharacteristic
267C2×C22⋊Dic59C2311yescharacteristic
268C2×C22⋊Dic59C2311yescharacteristic
269C2×(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
292C22⋊C4×D59—24no—
293C22⋊C4×D59—42no—
294C2×C4×Dic59C2311yescharacteristic
295C2×C4×Dic59C2311yescharacteristic
296C2×C4×Dic59C2311yescharacteristic
297C2×C4×Dic59C2311yescharacteristic
298C59⋊#95C2311yescharacteristic
299C59⋊#95C2311yescharacteristic
300C59⋊#95C2311yescharacteristic
301C59⋊#95C2311yescharacteristic
302C59⋊#95C2311yescharacteristic
303C59⋊#95C2311yescharacteristic
304C59⋊#95C2311yescharacteristic
305C59⋊#95C2311yescharacteristic
306C59⋊#95C2311yescharacteristic
307C59⋊#95C2311yescharacteristic
308C59⋊#95C2311yescharacteristic
309C59⋊#95C2311yescharacteristic
310C59⋊#95C2311yescharacteristic
311C59⋊#95C2311yescharacteristic
312C59⋊#95C2311yescharacteristic
313C59⋊#95C2311yescharacteristic
314C59⋊#95C2311yescharacteristic
315C59⋊#95C2311yescharacteristic
316C59⋊#95C2311yescharacteristic
317C59⋊#95C2311yescharacteristic
318C59⋊#95C2311yescharacteristic
319C59⋊#95C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C22×Q8×C59C2311yescharacteristic
333C22×D4×C59C2311yescharacteristic
334C22×D4×C59C2311yescharacteristic
335C22×D4×C59C2311yescharacteristic
336C23×C4×C59C2311yescharacteristic
337C23×C4×C59C2311yescharacteristic
338#124×C59—42no—
339#121×C59—42no—
340C2×C4⋊C4×C59C2311yescharacteristic
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×C22⋊C4×C59C2311yescharacteristic
357C2×C22⋊C4×C59C2311yescharacteristic
358C2×C42×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
382C2×Q8×C59—41no—
383C2×Q8×C59—41no—
384C2×Q8×C59—41no—
385C2×D4×C59—22no—
386C2×D4×C59—22no—
387C2×D4×C59—22no—
388C2×D4×C59—41no—
389C2×D4×C59—41no—
390C2×D4×C59—41no—
391C2×D4×C59—41no—
392C2×D4×C59—41no—
393C2×D4×C59—41no—
394C22×C4×C59—22no—
395C22×C4×C59—22no—
396C22×C4×C59—22no—
397C22×C4×C59—41no—
398C22×C4×C59—41no—
399C22×C4×C59—41no—
400C22×C4×C59C2411yescharacteristic
401C22×C4×C59C2411yescharacteristic
402C22×C4×C59C2411yescharacteristic
403C22×C4×C59C2411yescharacteristic
404C22×C4×C59C2411yescharacteristic
405C22×C4×C59C2411yescharacteristic
406C22×C4×C59C2411yescharacteristic
407C22×C4×C59C2411yescharacteristic
408C22×C4×C59C2411yescharacteristic
409C22×C4×C59C2411yescharacteristic
410C22×C4×C59C2411yescharacteristic
411C22×C4×C59C2411yescharacteristic
412C2×C22⋊D59—22no—
413C2×C22⋊D59—22no—
414C2×C22⋊D59—22no—
415C2×C22⋊D59—22no—
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—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—
431C2×C22⋊D59—41no—
432C2×C22⋊D59—41no—
433C22×Dic59—22no—
434C22×Dic59—41no—
435C22×Dic59—41no—
436C22×Dic59—41no—
437C22×Dic59—41no—
438C22×Dic59—41no—
439C22×Dic59C2411yescharacteristic
440C22×Dic59C2411yescharacteristic
441C22×Dic59C2411yescharacteristic
442C22×Dic59C2411yescharacteristic
443C22×Dic59C2411yescharacteristic
444C22×Dic59C2411yescharacteristic
445C22×Dic59C2411yescharacteristic
446C22×Dic59C2411yescharacteristic
447C22×Dic59C2411yescharacteristic
448C22×Dic59C2411yescharacteristic
449C22×Dic59C2411yescharacteristic
450C22×Dic59C2411yescharacteristic
451C22×Dic59C2411yescharacteristic
452#11745685—416no—
453C2×D236—22no—
454C2×D236—22no—
455C2×D236—22no—
456C2×D236—22no—
457C2×D236—41no—
458C2×D236—41no—
459C2×C4×D59—22no—
460C2×C4×D59—22no—
461C2×C4×D59—22no—
462C2×C4×D59—22no—
463C2×C4×D59—22no—
464C2×C4×D59—22no—
465C2×C4×D59—22no—
466C2×C4×D59—22no—
467C2×C4×D59—22no—
468C2×C4×D59—22no—
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—41no—
479C2×C4×D59—41no—
480C2×C4×D59—41no—
481C2×C4×D59—416no—
482C2×C4×D59—41no—
483C2×C4×D59—41no—
484C2×C4×D59—41no—
485C2×C4×D59—41no—
486C2×C4×D59#4114yes—
487C2×Dic118—22no—
488C2×Dic118—41no—
489C2×Dic118—41no—
490C4⋊C4×C59—22no—
491C4⋊C4×C59—41no—
492C4⋊C4×C59—41no—
493C4⋊C4×C59—41no—
494C4⋊C4×C59—41no—
495C22⋊C4×C59—22no—
496C22⋊C4×C59—22no—
497C22⋊C4×C59—22no—
498C22⋊C4×C59—22no—
499C22⋊C4×C59—41no—
500C22⋊C4×C59—41no—
501C22⋊C4×C59—41no—
502C22⋊C4×C59—41no—
503C22⋊C4×C59—41no—
504C22⋊C4×C59—41no—
505C22⋊C4×C59—41no—
506C22⋊C4×C59—41no—
507C22⋊C4×C59—41no—
508C42×C59—41no—
509C22⋊Dic59—22no—
510C22⋊Dic59—22no—
511C22⋊Dic59—22no—
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—
521C22⋊Dic59—41no—
522C22⋊Dic59—41no—
523(C2×D59)⋊C4—22no—
524(C2×D59)⋊C4—22no—
525(C2×D59)⋊C4—22no—
526(C2×D59)⋊C4—22no—
527(C2×D59)⋊C4—22no—
528(C2×D59)⋊C4—22no—
529(C2×D59)⋊C4—22no—
530(C2×D59)⋊C4—22no—
531(C2×D59)⋊C4—22no—
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—
546C4⋊Dic59—22no—
547C4⋊Dic59—22no—
548C4⋊Dic59—41no—
549C4⋊Dic59—41no—
550C4⋊Dic59—41no—
551C4⋊Dic59—41no—
552C4⋊Dic59—41no—
553C4⋊Dic59—41no—
554C4⋊Dic59—41no—
555C4⋊Dic59—41no—
556Dic59⋊C4—22no—
557Dic59⋊C4—22no—
558Dic59⋊C4—22no—
559Dic59⋊C4—41no—
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—
569C4×Dic59—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×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—21no—
591C23×C59—21no—
592C23×C59—21no—
593C23×C59H(5,𝔽2)12yes—
594C23×C59C2511yescharacteristic
595C22×D59—21no—
596C22×D59—21no—
597C22×D59—21no—
598C22×D59—21no—
599C22×D59—28no—
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—82no—
624D4×C59—82no—
625D4×C59—82no—
626D4×C59—82no—
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—44no—
662C2×C4×C59—44no—
663C2×C4×C59C2×#4112yes—
664C2×C4×C59H(5,𝔽2)12yes—
665C22⋊D59—44no—
666C22⋊D59—44no—
667C22⋊D59—44no—
668C22⋊D59—82no—
669C22⋊D59—82no—
670C22⋊D59—82no—
671C22⋊D59—82no—
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—21no—
703C2×Dic59—21no—
704C2×Dic59—21no—
705C2×Dic59—21no—
706C2×Dic59—21no—
707C2×Dic59—21no—
708C2×Dic59—21no—
709C2×Dic59—21no—
710C2×Dic59—44no—
711C2×Dic59—82no—
712C2×Dic59C2×#4112yes—
713D236—44no—
714D236—82no—
715C4×D59—28no—
716C4×D59—44no—
717C4×D59—44no—
718C4×D59—44no—
719C4×D59—44no—
720C4×D59—44no—
721C4×D59—44no—
722C4×D59—82no—
723C4×D59—82no—
724Dic118—44no—
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×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—41no—
742C22×C59—41no—
743C22×C59—41no—
744C22×C59—41no—
745C22×C59—41no—
746C22×C59—41no—
747C22×C59C22×#4111yescharacteristic
748C22×C59C2×H(5,𝔽2)11yescharacteristic
749C22×C59C2×H(5,𝔽2)11yescharacteristic
750C22×C59C2×H(5,𝔽2)11yescharacteristic
751C22×C59C2×H(5,𝔽2)11yescharacteristic
752C22×C59C2×2−1+411yescharacteristic
753C22×C59#58511yescharacteristic
754C2×D59—22no—
755C2×D59—22no—
756C2×D59—22no—
757C2×D59—22no—
758C2×D59—22no—
759C2×D59—22no—
760C2×D59—22no—
761C2×D59—22no—
762C2×D59—22no—
763C2×D59—416no—
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—
788Dic59—22no—
789Dic59—41no—
790Dic59—41no—
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#2745—591no—
812#2714—591no—
813#2710—591no—
814#2708—591no—
815#2708—591no—
816#2695—591no—
817#2686D5911yescharacteristic, complemented
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×C59—81no—
834C2×C59—81no—
835C2×C59C2×#53811yescharacteristic
836C2×C59#349211yescharacteristic
837C2×C59#350611yescharacteristic
838C2×C59#353211yescharacteristic
839C2×C59#353411yescharacteristic
840C2×C59#353511yescharacteristic
841C2×C59#353611yescharacteristic
842D59—24no—
843D59—42no—
844D59—81no—
845C22×#41—591no—
846C24×C4—591no—
847C2×#126—591no—
848C2×#124C2×D5911yescharacteristic
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×#121C2×D5911yescharacteristic
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#401—591no—
869#400—591no—
870#400—591no—
871#400—591no—
872#400—591no—
873#400—591no—
874#400—591no—
875#400—591no—
876#400—591no—
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, complemented
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#394C2×D5911yescharacteristic
904#394C2×D5911yescharacteristic
905#394C2×D5911yescharacteristic, complemented
906#393—591no—
907#393—591no—
908#393—591no—
909#393—591no—
910#393—591no—
911#393C2×D5911yescharacteristic, complemented
912#392—591no—
913#392—591no—
914#392—591no—
915#392—591no—
916#391—591no—
917#391—591no—
918#391—591no—
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#388—591no—
936#388C2×D5911yescharacteristic, complemented
937#387—591no—
938#387—591no—
939#387—591no—
940#387—591no—
941#387—591no—
942#387—591no—
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#386C2×D5911yescharacteristic
966#386C2×D5911yescharacteristic, complemented
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, complemented
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×D4C22×D5911yescharacteristic
1017C22×D4C22×D5911yescharacteristic
1018C22×D4C22×D5911yescharacteristic
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—2362no—
1031C23×C4—2362no—
1032C23×C4—2362no—
1033C23×C4C22×D5911yescharacteristic
1034C23×C4C22×D5911yescharacteristic
1035#126—2362no—
1036#124—42no—
1037#123—1184no—
1038#123—2362no—
1039#123—2362no—
1040#123—2362no—
1041C22⋊Q8—2362no—
1042#121—42no—
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—591no—
1074C2×C4⋊C4—591no—
1075C2×C4⋊C4—2362no—
1076C2×C4⋊C4—2362no—
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—1184no—
1120C2×C22⋊C4—2362no—
1121C2×C22⋊C4C22×D5911yescharacteristic
1122C2×C22⋊C4C22×D5911yescharacteristic
1123C2×C22⋊C4C22×D5911yescharacteristic
1124C2×C22⋊C4C22×D5911yescharacteristic
1125C2×C22⋊C4C22×D5911yescharacteristic
1126C2×C22⋊C4C22×D5911yescharacteristic
1127C2×C22⋊C4C22×D5911yescharacteristic
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×C42—591no—
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#95—591no—
1166#95—591no—
1167#95—591no—
1168#95—591no—
1169#95—591no—
1170#95—591no—
1171#95—591no—
1172#95—591no—
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—1182no—
1187C24—1182no—
1188C24—1182no—
1189C24—1182no—
1190C24—1182no—
1191C24—2361no—
1192C24—2361no—
1193C24C23×D5911yescharacteristic
1194C24C23×D5911yescharacteristic
1195C24C23×D5911yescharacteristic
1196#41—23616no—
1197C2×Q8—41no—
1198C2×Q8—41no—
1199C2×Q8—41no—
1200C2×Q8—1182no—
1201C2×Q8—2361no—
1202C2×Q8—2361no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
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—1182no—
1221C2×D4—1182no—
1222C2×D4—1182no—
1223C2×D4—1182no—
1224C2×D4—1182no—
1225C2×D4—1182no—
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—22no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—591no—
1246C22×C4—594no—
1247C22×C4—591no—
1248C22×C4—591no—
1249C22×C4—591no—
1250C22×C4—591no—
1251C22×C4—591no—
1252C22×C4—591no—
1253C22×C4—591no—
1254C22×C4—591no—
1255C22×C4—591no—
1256C22×C4—591no—
1257C22×C4—591no—
1258C22×C4—591no—
1259C22×C4—1182no—
1260C22×C4—1182no—
1261C22×C4—1182no—
1262C22×C4—1182no—
1263C22×C4—1182no—
1264C22×C4—1182no—
1265C22×C4—1182no—
1266C22×C4—1182no—
1267C22×C4—1182no—
1268C22×C4—1182no—
1269C22×C4—1182no—
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—23616no—
1287C22×C4—2361no—
1288C22×C4—2361no—
1289C22×C4—2361no—
1290C22×C4—2361no—
1291C22×C4—2361no—
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—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—1182no—
1310C4⋊C4—1182no—
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—22no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—1182no—
1346C22⋊C4—1182no—
1347C22⋊C4—1182no—
1348C22⋊C4—1182no—
1349C22⋊C4—1182no—
1350C22⋊C4—1182no—
1351C22⋊C4—1182no—
1352C22⋊C4—1182no—
1353C22⋊C4—1182no—
1354C22⋊C4—1182no—
1355C22⋊C4—1182no—
1356C22⋊C4—1182no—
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—2361no—
1384C42—2361no—
1385C42—2361no—
1386C42—2361no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—592no—
1408C23—592no—
1409C23—592no—
1410C23—592no—
1411C23—1188no—
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#1427377212yes—
1436C23C24×D5911yescharacteristic
1437Q8—82no—
1438Q8—2364no—
1439D4—82no—
1440D4—82no—
1441D4—82no—
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—44no—
1486C2×C4—44no—
1487C2×C4—592no—
1488C2×C4—1188no—
1489C2×C4—1181no—
1490C2×C4—1181no—
1491C2×C4—1181no—
1492C2×C4—1181no—
1493C2×C4—1181no—
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—1181no—
1527C2×C4—4722no—
1528C2×C4—4722no—
1529C2×C4—4722no—
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—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—594no—
1561C22—1182no—
1562C22—1182no—
1563C22—1182no—
1564C22—1182no—
1565C22—1182no—
1566C22—1182no—
1567C22—1182no—
1568C22—1182no—
1569C22—1182no—
1570C22—23616no—
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×#1427377211yescharacteristic
1586C22C2×#1427377311yescharacteristic
1587C222−1+4×D5911yescharacteristic
1588C22#1683823711yescharacteristic
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—1182no—
1602C4—2361no—
1603C4—2361no—
1604C4—2361no—
1605C4—2361no—
1606C4—2361no—
1607C4—2361no—
1608C4—2361no—
1609C4—2361no—
1610C4—2361no—
1611C4—2361no—
1612C4—2361no—
1613C4—2361no—
1614C2—42no—
1615C2—81no—
1616C2—81no—
1617C2—1184no—
1618C2—4721no—
1619C2—2362no—
1620C2#538×D5911yescharacteristic
1621C2#2143779811yescharacteristic
1622C2#2143793811yescharacteristic
1623C2#2143824511yescharacteristic
1624C2#2143827611yescharacteristic
1625C2#2143829611yescharacteristic
1626C2#2143832111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2686C2
hypercenter#2686D59
hypocenterC59#36791
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2686

Complements

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

NH ≅ G/Ntype
1. #21432389C2semidirect
2. #21432375C2semidirect
3. #21432037C2semidirect
4. #21431946C2semidirect
5. #21431836C2semidirect
6. #21431799C2semidirect
7. #21431740C2semidirect
8. #21431712C2semidirect
9. #21431351C2semidirect
10. #21431328C2semidirect
11. #21431265C2semidirect
12. #21430897C2semidirect
13. #21430832C2semidirect
14. #21430816C2semidirect
15. #21430812C2semidirect
16. #21430635C2semidirect
17. #21430457C2semidirect
18. #21430048C2semidirect
19. #21430025C2semidirect
20. #21428355C2semidirect
21. #21428218C2semidirect
22. #21427824C2semidirect
23. #21427765C2semidirect
24. #21427703C2semidirect
25. #21427633C2semidirect
26. #21427474C2semidirect
27. #21427413C2semidirect
28. #21426766C2semidirect
29. #21426685C2semidirect
30. #385×D59C2semidirect
31. C59×#2686C2semidirect
34. C2×#14273722C22semidirect
38. C2×#14273708C22semidirect
53. C59⋊#401C22semidirect
54. #16837344C22semidirect
55. #16837344C22semidirect
56. #16837343C22semidirect
57. #16837343C22semidirect
58. #16837343C22semidirect
59. #16837342C22semidirect
60. #16837342C22semidirect
61. #16837341C22semidirect
62. #16837338C22semidirect
63. #16837335C22semidirect
64. #16837335C22semidirect
65. #16837334C22semidirect
67. #16837330C22semidirect
68. #16837330C22semidirect
69. #16837329C22semidirect
70. #16837329C22semidirect
71. #16837327C22semidirect
72. #16837327C22semidirect
75. #16837325C22semidirect
77. #16837324C22semidirect
78. #16837323C22semidirect
81. #16837318C22semidirect
83. #16837317C22semidirect
84. #16837317C22semidirect
88. #16837314C22semidirect
90. #16837313C22semidirect
94. #16837310C22semidirect
95. #16837309C22semidirect
96. #16837306C22semidirect
97. #16837306C22semidirect
102. #16837302C22semidirect
103. #16837302C22semidirect
104. #16837300C22semidirect
105. #16837297C22semidirect
106. #16837297C22semidirect
107. #16837296C22semidirect
110. #16837295C22semidirect
113. #16837293C22semidirect
115. #16837289C22semidirect
116. #16837289C22semidirect
117. #16837288C22semidirect
118. #16837287C22semidirect
119. #16837287C22semidirect
120. #16837285C22semidirect
141. #16837278C22semidirect
143. #16837277C22semidirect
144. #16837277C22semidirect
152. #16837276C22semidirect
154. #16837275C22semidirect
156. #16837274C22semidirect
163. #16837262C22semidirect
166. #16837259C22semidirect
167. #16837259C22semidirect
174. C59×#397C22semidirect
175. C59×#395C22semidirect
178. C59×#394C22semidirect
179. C59×#393C22semidirect
180. C59×#388C22semidirect
181. C59×#387C22semidirect
183. C59×#386C22semidirect
186. C59×#380C22semidirect
817. #2686D59semidirect
888. #397C2×D59semidirect
895. #395C2×D59semidirect
905. #394C2×D59semidirect
911. #393C2×D59semidirect
936. #388C2×D59semidirect
943. #387C2×D59semidirect
966. #386C2×D59semidirect
995. #380C2×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
#214323752
#214320372
#214319462
#214318362
#214317992
#214317402
#214317122
#214313512
#214313282
#214312652
#214308972
#214308322
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