Finite Group Databasebeta

← #28797502

Subgroups — #28797502

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#21432391C211yesmaximal, characteristic, complemented
2#21432377C211yesmaximal, characteristic, complemented
3#21431957C211yesmaximal, characteristic, complemented
4#21431847C211yesmaximal, characteristic, complemented
5#21431791C211yesmaximal, characteristic, complemented
6#21431739C211yesmaximal, characteristic, complemented
7#21431717C211yesmaximal, characteristic, complemented
8#21431348C211yesmaximal, characteristic, complemented
9#21431341C211yesmaximal, characteristic, complemented
10#21431266C211yesmaximal, characteristic, complemented
11#21430887C211yesmaximal, characteristic, complemented
12#21430833C211yesmaximal, characteristic, complemented
13#21430817C211yesmaximal, characteristic, complemented
14#21430814C211yesmaximal, characteristic, complemented
15#21430636C211yesmaximal, characteristic, complemented
16#21430507C211yesmaximal, characteristic, complemented
17#21430462C211yesmaximal, characteristic, complemented
18#21430050C211yesmaximal, characteristic, complemented
19#21430025C211yesmaximal, characteristic, complemented
20#21428350C211yesmaximal, characteristic, complemented
21#21428225C211yesmaximal, characteristic, complemented
22#21427830C211yesmaximal, characteristic, complemented
23#21427769C211yesmaximal, characteristic, complemented
24#21427709C211yesmaximal, characteristic, complemented
25#21427631C211yesmaximal, characteristic, complemented
26#21427478C211yesmaximal, characteristic, complemented
27#21427416C211yesmaximal, characteristic, complemented
28#21426763C211yesmaximal, characteristic, complemented
29#21426687C211yesmaximal, characteristic, complemented
30#385×D59C211yesmaximal, characteristic, complemented
31C59×#2804C211yesmaximal, characteristic, complemented
32C22×#11745689C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34C2×#14273722C2211yescharacteristic, complemented
35C2×#14273716C2211yescharacteristic
36C2×#14273712C2211yescharacteristic
37C2×#14273712C2211yescharacteristic
38C2×#14273710C2211yescharacteristic, complemented
39C2×#14273709C2211yescharacteristic
40C2×#14273703C2211yescharacteristic
41C2×#14273701C2211yescharacteristic
42C2×#14273700C2211yescharacteristic
43C2×#14273700C2211yescharacteristic
44C2×#14273700C2211yescharacteristic
45C2×#14273699C2211yescharacteristic
46C2×#14273697C2211yescharacteristic
47C2×#14273697C2211yescharacteristic
48C2×#14273695C2211yescharacteristic
49C2×C4×C22⋊D59C2211yescharacteristic
50C2×#14273684C2211yescharacteristic
51C2×C4⋊C4×D59C2211yescharacteristic
52C2×C4⋊C4×D59C2211yescharacteristic
53C2×C22⋊C4×D59C2211yescharacteristic
54C2×C22⋊C4×D59C2211yescharacteristic
55C59⋊#401C2211yescharacteristic, complemented
56#16837343C2211yescharacteristic, complemented
57#16837343C2211yescharacteristic, complemented
58#16837343C2211yescharacteristic, complemented
59#16837343C2211yescharacteristic, complemented
60#16837343C2211yescharacteristic, complemented
61#16837342C2211yescharacteristic, complemented
62#16837337C2211yescharacteristic, complemented
63#16837336C2211yescharacteristic, complemented
64#16837336C2211yescharacteristic, complemented
65#16837332C2211yescharacteristic, complemented
66#16837331C2211yescharacteristic
67#16837331C2211yescharacteristic, complemented
68#16837331C2211yescharacteristic, complemented
69#16837330C2211yescharacteristic, complemented
70#16837329C2211yescharacteristic, complemented
71#16837328C2211yescharacteristic, complemented
72#16837328C2211yescharacteristic, complemented
73#16837327C2211yescharacteristic, complemented
74#16837326C2211yescharacteristic, complemented
75#16837325C2211yescharacteristic
76#16837325C2211yescharacteristic
77#16837324C2211yescharacteristic
78#16837324C2211yescharacteristic, complemented
79#16837321C2211yescharacteristic, complemented
80#16837321C2211yescharacteristic, complemented
81#16837320C2211yescharacteristic
82#16837320C2211yescharacteristic
83#16837320C2211yescharacteristic, complemented
84#16837318C2211yescharacteristic
85#16837318C2211yescharacteristic, complemented
86#16837317C2211yescharacteristic
87#16837317C2211yescharacteristic
88#16837317C2211yescharacteristic, complemented
89#16837317C2211yescharacteristic, complemented
90#16837316C2211yescharacteristic
91#16837313C2211yescharacteristic
92#16837313C2211yescharacteristic, complemented
93#16837312C2211yescharacteristic
94#16837311C2211yescharacteristic
95#16837311C2211yescharacteristic, complemented
96#16837310C2211yescharacteristic
97#16837309C2211yescharacteristic, complemented
98#16837304C2211yescharacteristic, complemented
99#16837303C2211yescharacteristic, complemented
100#16837302C2211yescharacteristic
101#16837302C2211yescharacteristic
102#16837302C2211yescharacteristic
103#16837299C2211yescharacteristic, complemented
104#16837299C2211yescharacteristic, complemented
105#16837298C2211yescharacteristic, complemented
106#16837296C2211yescharacteristic
107#16837296C2211yescharacteristic
108#16837295C2211yescharacteristic, complemented
109#16837294C2211yescharacteristic
110#16837293C2211yescharacteristic
111#16837292C2211yescharacteristic, complemented
112#16837291C2211yescharacteristic
113#16837291C2211yescharacteristic, complemented
114#16837290C2211yescharacteristic, complemented
115#16837289C2211yescharacteristic, complemented
116#16837287C2211yescharacteristic, complemented
117#16837287C2211yescharacteristic, complemented
118#16837286C2211yescharacteristic, complemented
119#16837284C2211yescharacteristic, complemented
120#16837284C2211yescharacteristic, complemented
121#16837283C2211yescharacteristic, complemented
122#16837281C2211yescharacteristic
123#16837281C2211yescharacteristic
124#16837280C2211yescharacteristic
125#16837280C2211yescharacteristic
126#16837280C2211yescharacteristic
127#16837280C2211yescharacteristic
128#16837280C2211yescharacteristic
129#16837280C2211yescharacteristic
130#16837280C2211yescharacteristic
131#16837280C2211yescharacteristic
132#16837280C2211yescharacteristic
133#16837280C2211yescharacteristic
134#16837280C2211yescharacteristic
135#16837279C2211yescharacteristic
136#16837278C2211yescharacteristic
137#16837278C2211yescharacteristic
138#16837278C2211yescharacteristic
139#16837278C2211yescharacteristic
140#16837278C2211yescharacteristic
141#16837278C2211yescharacteristic, complemented
142#16837278C2211yescharacteristic, complemented
143#16837277C2211yescharacteristic
144#16837276C2211yescharacteristic
145#16837276C2211yescharacteristic
146#16837276C2211yescharacteristic
147#16837276C2211yescharacteristic, complemented
148#16837276C2211yescharacteristic, complemented
149#16837275C2211yescharacteristic
150#16837275C2211yescharacteristic, complemented
151#16837274C2211yescharacteristic
152#16837274C2211yescharacteristic
153#16837273C2211yescharacteristic
154#16837273C2211yescharacteristic
155#16837273C2211yescharacteristic
156#16837273C2211yescharacteristic
157#16837273C2211yescharacteristic
158#16837264C2211yescharacteristic
159#16837264C2211yescharacteristic
160#16837264C2211yescharacteristic
161#16837261C2211yescharacteristic
162#16837261C2211yescharacteristic
163#16837261C2211yescharacteristic, complemented
164#16837261C2211yescharacteristic, complemented
165#16837261C2211yescharacteristic, complemented
166#16837261C2211yescharacteristic, complemented
167#16837260C2211yescharacteristic
168#16837257C2211yescharacteristic
169#16837249C2211yescharacteristic
170#95×D59C2211yescharacteristic
171#95×D59C2211yescharacteristic
172C59×#400C2211yescharacteristic, complemented
173C59×#400C2211yescharacteristic, complemented
174C59×#393C2211yescharacteristic
175C59×#393C2211yescharacteristic
176C59×#393C2211yescharacteristic, complemented
177C59×#393C2211yescharacteristic, complemented
178C59×#391C2211yescharacteristic, complemented
179C59×#391C2211yescharacteristic, complemented
180C59×#390C2211yescharacteristic
181C59×#386C2211yescharacteristic
182C59×#386C2211yescharacteristic
183C59×#385C2211yescharacteristic
184C59×#385C2211yescharacteristic
185C59×#385C2211yescharacteristic, complemented
186C59×#385C2211yescharacteristic, complemented
187C24×D59C2311yescharacteristic
188C2×#11745689—24no—
189C2×#11745689—42no—
190C2×#11745689—42no—
191C22×D236C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
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
215C22×C4×D59C2311yescharacteristic
216#14273722—42no—
217#14273716—42no—
218#14273712—42no—
219#14273712—42no—
220#14273710—42no—
221#14273709—24no—
222#14273703—42no—
223#14273701—42no—
224#14273700—42no—
225#14273700—42no—
226#14273700—42no—
227#14273699—42no—
228#14273697—42no—
229#14273697—42no—
230#14273695—42no—
231C4×C22⋊D59—42no—
232#14273684—42no—
233C2×C4⋊Dic59C2311yescharacteristic
234C2×C4⋊Dic59C2311yescharacteristic
235C2×C4⋊Dic59C2311yescharacteristic
236C2×C4⋊Dic59C2311yescharacteristic
237C2×C4⋊Dic59C2311yescharacteristic
238C2×Dic59⋊C4C2311yescharacteristic
239C2×Dic59⋊C4C2311yescharacteristic
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×Dic59⋊C4C2311yescharacteristic
255C2×Dic59⋊C4C2311yescharacteristic
256C4⋊C4×D59—42no—
257C4⋊C4×D59—42no—
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×(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
298C22⋊C4×D59—24no—
299C22⋊C4×D59—42no—
300C2×C4×Dic59C2311yescharacteristic
301C2×C4×Dic59C2311yescharacteristic
302C2×C4×Dic59C2311yescharacteristic
303C2×C4×Dic59C2311yescharacteristic
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
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C22×Q8×C59C2311yescharacteristic
335C22×Q8×C59C2311yescharacteristic
336C22×D4×C59C2311yescharacteristic
337C23×C4×C59C2311yescharacteristic
338C23×C4×C59C2311yescharacteristic
339C2×C4⋊C4×C59C2311yescharacteristic
340C2×C4⋊C4×C59C2311yescharacteristic
341C2×C4⋊C4×C59C2311yescharacteristic
342C2×C4⋊C4×C59C2311yescharacteristic
343C2×C4⋊C4×C59C2311yescharacteristic
344C2×C22⋊C4×C59C2311yescharacteristic
345C2×C22⋊C4×C59C2311yescharacteristic
346C2×C22⋊C4×C59C2311yescharacteristic
347C2×C22⋊C4×C59C2311yescharacteristic
348C2×C22⋊C4×C59C2311yescharacteristic
349C2×C22⋊C4×C59C2311yescharacteristic
350C2×C22⋊C4×C59C2311yescharacteristic
351C2×C22⋊C4×C59C2311yescharacteristic
352C2×C22⋊C4×C59C2311yescharacteristic
353C2×C22⋊C4×C59C2311yescharacteristic
354C2×C42×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
370C24×C59C2411yescharacteristic
371C23×D59—22no—
372C23×D59—22no—
373C23×D59—22no—
374C23×D59—22no—
375C23×D59—22no—
376C23×D59—41no—
377C23×D59—41no—
378C23×D59C2411yescharacteristic
379C23×D59C2411yescharacteristic
380C23×D59C2411yescharacteristic
381C23×D59C2411yescharacteristic
382C2×Q8×C59—22no—
383C2×Q8×C59—41no—
384C2×Q8×C59—41no—
385C2×Q8×C59—41no—
386C2×Q8×C59—41no—
387C2×Q8×C59—41no—
388C2×D4×C59—22no—
389C2×D4×C59—41no—
390C2×D4×C59—41no—
391C22×C4×C59—41no—
392C22×C4×C59—41no—
393C22×C4×C59—41no—
394C22×C4×C59—41no—
395C22×C4×C59—41no—
396C22×C4×C59—41no—
397C22×C4×C59C2411yescharacteristic
398C22×C4×C59C2411yescharacteristic
399C22×C4×C59C2411yescharacteristic
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
410C2×C22⋊D59—22no—
411C2×C22⋊D59—22no—
412C2×C22⋊D59—22no—
413C2×C22⋊D59—22no—
414C2×C22⋊D59—22no—
415C2×C22⋊D59—22no—
416C2×C22⋊D59—22no—
417C2×C22⋊D59—41no—
418C2×C22⋊D59—41no—
419C2×C22⋊D59—41no—
420C2×C22⋊D59—41no—
421C2×C22⋊D59—41no—
422C2×C22⋊D59—41no—
423C2×C22⋊D59—41no—
424C2×C22⋊D59—41no—
425C2×C22⋊D59—41no—
426C2×C22⋊D59—41no—
427C2×C22⋊D59—41no—
428C22×Dic59—22no—
429C22×Dic59—41no—
430C22×Dic59—41no—
431C22×Dic59C2411yescharacteristic
432C22×Dic59C2411yescharacteristic
433C22×Dic59C2411yescharacteristic
434C22×Dic59C2411yescharacteristic
435C22×Dic59C2411yescharacteristic
436C22×Dic59C2411yescharacteristic
437C22×Dic59C2411yescharacteristic
438C22×Dic59C2411yescharacteristic
439C22×Dic59C2411yescharacteristic
440C22×Dic59C2411yescharacteristic
441C22×Dic59C2411yescharacteristic
442C22×Dic59C2411yescharacteristic
443#11745689—416no—
444C2×D236—22no—
445C2×D236—22no—
446C2×D236—22no—
447C2×D236—22no—
448C2×D236—22no—
449C2×D236—22no—
450C2×D236—22no—
451C2×D236—22no—
452C2×D236—22no—
453C2×D236—41no—
454C2×D236—41no—
455C2×D236—41no—
456C2×D236—41no—
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—22no—
470C2×C4×D59—22no—
471C2×C4×D59—22no—
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—41no—
482C2×C4×D59—41no—
483C2×C4×D59—41no—
484C2×C4×D59—416no—
485C2×C4×D59—41no—
486C2×C4×D59—41no—
487C2×C4×D59—41no—
488C2×C4×D59—41no—
489C2×C4×D59#4114yes—
490C4⋊C4×C59—41no—
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—41no—
498C22⋊C4×C59—41no—
499C22⋊C4×C59—41no—
500C22⋊C4×C59—41no—
501C22⋊C4×C59—41no—
502C22⋊C4×C59—41no—
503C22⋊C4×C59—41no—
504C22⋊C4×C59—41no—
505C42×C59—41no—
506C22⋊Dic59—22no—
507C22⋊Dic59—22no—
508C22⋊Dic59—22no—
509C22⋊Dic59—41no—
510C22⋊Dic59—41no—
511C22⋊Dic59—41no—
512C22⋊Dic59—41no—
513C22⋊Dic59—41no—
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—22no—
520(C2×D59)⋊C4—22no—
521(C2×D59)⋊C4—22no—
522(C2×D59)⋊C4—22no—
523(C2×D59)⋊C4—22no—
524(C2×D59)⋊C4—22no—
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—
546C4⋊Dic59—22no—
547C4⋊Dic59—22no—
548C4⋊Dic59—41no—
549C4⋊Dic59—41no—
550C4⋊Dic59—41no—
551Dic59⋊C4—22no—
552Dic59⋊C4—22no—
553Dic59⋊C4—22no—
554Dic59⋊C4—22no—
555Dic59⋊C4—41no—
556Dic59⋊C4—41no—
557Dic59⋊C4—41no—
558Dic59⋊C4—41no—
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×C592−1+412yes—
587C23×C59C2511yescharacteristic
588C22×D59—21no—
589C22×D59—21no—
590C22×D59—21no—
591C22×D59—21no—
592C22×D59—28no—
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×D59H(5,𝔽2)12yes—
623Q8×C59—44no—
624Q8×C59—82no—
625D4×C59—82no—
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×C59—82no—
666C2×C4×C59C2×#4112yes—
667C22⋊D59—44no—
668C22⋊D59—82no—
669C22⋊D59—82no—
670C22⋊D59—82no—
671C22⋊D59—82no—
672C22⋊D59—82no—
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—44no—
708C2×Dic59C2×#4112yes—
709C2×Dic59H(5,𝔽2)12yes—
710D236—44no—
711D236—44no—
712D236—44no—
713D236—82no—
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—44no—
723C4×D59—82no—
724C4×D59—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×C59—41no—
734C22×C59—41no—
735C22×C59—41no—
736C22×C59—41no—
737C22×C59—41no—
738C22×C59—41no—
739C22×C59—41no—
740C22×C59C22×#4111yescharacteristic
741C22×C59C2×H(5,𝔽2)11yescharacteristic
742C22×C59C2×H(5,𝔽2)11yescharacteristic
743C22×C59C2×H(5,𝔽2)11yescharacteristic
744C22×C59C2×H(5,𝔽2)11yescharacteristic
745C22×C59C2×2−1+411yescharacteristic
746C22×C59#58511yescharacteristic
747C2×D59—22no—
748C2×D59—22no—
749C2×D59—22no—
750C2×D59—22no—
751C2×D59—22no—
752C2×D59—22no—
753C2×D59—22no—
754C2×D59—22no—
755C2×D59—22no—
756C2×D59—416no—
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—41no—
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—
789Dic59—22no—
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#2804D5911yescharacteristic, complemented
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#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×C59—81no—
834C2×C59C2×#53811yescharacteristic
835C2×C59#349211yescharacteristic
836C2×C59#350611yescharacteristic
837C2×C59#353211yescharacteristic
838C2×C59#353411yescharacteristic
839C2×C59#353511yescharacteristic
840C2×C59#353611yescharacteristic
841D59—24no—
842D59—42no—
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#401—591no—
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#397—591no—
889#396—591no—
890#396—591no—
891#396—591no—
892#396—591no—
893#396—591no—
894#395—591no—
895#395—591no—
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#393C2×D5911yescharacteristic
909#393C2×D5911yescharacteristic
910#393C2×D5911yescharacteristic, complemented
911#393C2×D5911yescharacteristic, complemented
912#392—591no—
913#392—591no—
914#392—591no—
915#392—591no—
916#391—591no—
917#391C2×D5911yescharacteristic, complemented
918#391C2×D5911yescharacteristic, complemented
919#390—591no—
920#390—591no—
921#390—591no—
922#390—591no—
923#390—591no—
924#390C2×D5911yescharacteristic
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#388—591no—
937#387—591no—
938#387—591no—
939#387—591no—
940#387—591no—
941#387—591no—
942#387—591no—
943#387—591no—
944#386—591no—
945#386—591no—
946#386—591no—
947#386—591no—
948#386—591no—
949#386—591no—
950#386—591no—
951#386—591no—
952#386—591no—
953#386—591no—
954#386—591no—
955#386—591no—
956#386—591no—
957#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
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#385C2×D5911yescharacteristic
983#385C2×D5911yescharacteristic
984#385C2×D5911yescharacteristic, complemented
985#385C2×D5911yescharacteristic, complemented
986#381—591no—
987#381—591no—
988#381—591no—
989#380—591no—
990#380—591no—
991#380—591no—
992#380—591no—
993#380—591no—
994#380—591no—
995#380—591no—
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×Q8C22×D5911yescharacteristic
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×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—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—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—591no—
1120C2×C22⋊C4—591no—
1121C2×C22⋊C4—591no—
1122C2×C22⋊C4—1184no—
1123C2×C22⋊C4—2362no—
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#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—1182no—
1188C24—1182no—
1189C24—1182no—
1190C24—1182no—
1191C24—1182no—
1192C24—2361no—
1193C24—2361no—
1194C24C23×D5911yescharacteristic
1195C24C23×D5911yescharacteristic
1196#41—23616no—
1197C2×Q8—22no—
1198C2×Q8—41no—
1199C2×Q8—41no—
1200C2×Q8—41no—
1201C2×Q8—41no—
1202C2×Q8—41no—
1203C2×D4—22no—
1204C2×D4—41no—
1205C2×D4—41no—
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—1182no—
1221C2×D4—1182no—
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—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—591no—
1246C22×C4—591no—
1247C22×C4—594no—
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—1182no—
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—1182no—
1271C22×C4—1182no—
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—2361no—
1288C22×C4—23616no—
1289C22×C4—2361no—
1290C22×C4—2361no—
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—41no—
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—1182no—
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—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
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—1182no—
1352C22⋊C4—1182no—
1353C22⋊C4—1182no—
1354C22⋊C4—1182no—
1355C22⋊C4—1182no—
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—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—592no—
1401C23—592no—
1402C23—592no—
1403C23—592no—
1404C23—1188no—
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#1427377512yes—
1436C23C24×D5911yescharacteristic
1437Q8—44no—
1438Q8—82no—
1439D4—82no—
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—44no—
1490C2×C4—82no—
1491C2×C4—592no—
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—1181no—
1527C2×C4—1181no—
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—2364no—
1538C2×C4#41×D5912yes—
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—594no—
1554C22—1182no—
1555C22—1182no—
1556C22—1182no—
1557C22—1182no—
1558C22—1182no—
1559C22—1182no—
1560C22—1182no—
1561C22—1182no—
1562C22—1182no—
1563C22—23616no—
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
1585C22H(5,𝔽2)×D5911yescharacteristic
1586C22H(5,𝔽2)×D5911yescharacteristic
1587C22C2×#1427377511yescharacteristic
1588C22#1683823811yescharacteristic
1589C4—22no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—1182no—
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—81no—
1616C2—1184no—
1617C2—4721no—
1618C2—4721no—
1619C2—2362no—
1620C2#538×D5911yescharacteristic
1621C2#2143780411yescharacteristic
1622C2#2143794411yescharacteristic
1623C2#2143825311yescharacteristic
1624C2#2143828511yescharacteristic
1625C2#2143830011yescharacteristic
1626C2#2143832211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2804C2
hypercenter#2804D59
hypocenterC59#36791
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2804

Complements

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

NH ≅ G/Ntype
1. #21432391C2semidirect
2. #21432377C2semidirect
3. #21431957C2semidirect
4. #21431847C2semidirect
5. #21431791C2semidirect
6. #21431739C2semidirect
7. #21431717C2semidirect
8. #21431348C2semidirect
9. #21431341C2semidirect
10. #21431266C2semidirect
11. #21430887C2semidirect
12. #21430833C2semidirect
13. #21430817C2semidirect
14. #21430814C2semidirect
15. #21430636C2semidirect
16. #21430507C2semidirect
17. #21430462C2semidirect
18. #21430050C2semidirect
19. #21430025C2semidirect
20. #21428350C2semidirect
21. #21428225C2semidirect
22. #21427830C2semidirect
23. #21427769C2semidirect
24. #21427709C2semidirect
25. #21427631C2semidirect
26. #21427478C2semidirect
27. #21427416C2semidirect
28. #21426763C2semidirect
29. #21426687C2semidirect
30. #385×D59C2semidirect
31. C59×#2804C2semidirect
34. C2×#14273722C22semidirect
38. C2×#14273710C22semidirect
55. C59⋊#401C22semidirect
56. #16837343C22semidirect
57. #16837343C22semidirect
58. #16837343C22semidirect
59. #16837343C22semidirect
60. #16837343C22semidirect
61. #16837342C22semidirect
62. #16837337C22semidirect
63. #16837336C22semidirect
64. #16837336C22semidirect
65. #16837332C22semidirect
67. #16837331C22semidirect
68. #16837331C22semidirect
69. #16837330C22semidirect
70. #16837329C22semidirect
71. #16837328C22semidirect
72. #16837328C22semidirect
73. #16837327C22semidirect
74. #16837326C22semidirect
78. #16837324C22semidirect
79. #16837321C22semidirect
80. #16837321C22semidirect
83. #16837320C22semidirect
85. #16837318C22semidirect
88. #16837317C22semidirect
89. #16837317C22semidirect
92. #16837313C22semidirect
95. #16837311C22semidirect
97. #16837309C22semidirect
98. #16837304C22semidirect
99. #16837303C22semidirect
103. #16837299C22semidirect
104. #16837299C22semidirect
105. #16837298C22semidirect
108. #16837295C22semidirect
111. #16837292C22semidirect
113. #16837291C22semidirect
114. #16837290C22semidirect
115. #16837289C22semidirect
116. #16837287C22semidirect
117. #16837287C22semidirect
118. #16837286C22semidirect
119. #16837284C22semidirect
120. #16837284C22semidirect
121. #16837283C22semidirect
141. #16837278C22semidirect
142. #16837278C22semidirect
147. #16837276C22semidirect
148. #16837276C22semidirect
150. #16837275C22semidirect
163. #16837261C22semidirect
164. #16837261C22semidirect
165. #16837261C22semidirect
166. #16837261C22semidirect
172. C59×#400C22semidirect
173. C59×#400C22semidirect
176. C59×#393C22semidirect
177. C59×#393C22semidirect
178. C59×#391C22semidirect
179. C59×#391C22semidirect
185. C59×#385C22semidirect
186. C59×#385C22semidirect
803. #2804D59semidirect
875. #400C2×D59semidirect
876. #400C2×D59semidirect
910. #393C2×D59semidirect
911. #393C2×D59semidirect
917. #391C2×D59semidirect
918. #391C2×D59semidirect
984. #385C2×D59semidirect
985. #385C2×D59semidirect
1000. C59#36791semidirect

Maximal subgroups

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

subgroupindex
#214323912
#214323772
#214319572
#214318472
#214317912
#214317392
#214317172
#214313482
#214313412
#214312662
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