Finite Group Databasebeta

← #28796002

Subgroups — #28796002

Order 15104.

1962 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432389C211yesmaximal, characteristic, complemented
2#21432377C211yesmaximal, characteristic, complemented
3#21431294C211yesmaximal, characteristic, complemented
4#21431178C211yesmaximal, characteristic, complemented
5#21431152C211yesmaximal, characteristic, complemented
6#21431151C211yesmaximal, characteristic, complemented
7#21430936C211yesmaximal, characteristic, complemented
8#21430737C211yesmaximal, characteristic, complemented
9#21430656C211yesmaximal, characteristic, complemented
10#21430646C211yesmaximal, characteristic, complemented
11#21430607C211yesmaximal, characteristic, complemented
12#21430537C211yesmaximal, characteristic, complemented
13#21430495C211yesmaximal, characteristic, complemented
14#21430471C211yesmaximal, characteristic, complemented
15#21430426C211yesmaximal, characteristic, complemented
16#21430352C211yesmaximal, characteristic, complemented
17#21430319C211yesmaximal, characteristic, complemented
18#21430267C211yesmaximal, characteristic, complemented
19#21430223C211yesmaximal, characteristic, complemented
20#21429643C211yesmaximal, characteristic, complemented
21#21429423C211yesmaximal, characteristic, complemented
22#21429201C211yesmaximal, characteristic, complemented
23#21429198C211yesmaximal, characteristic, complemented
24#21428295C211yesmaximal, characteristic, complemented
25#21428285C211yesmaximal, characteristic, complemented
26#21428258C211yesmaximal, characteristic, complemented
27#21428200C211yesmaximal, characteristic, complemented
28#21426891C211yesmaximal, characteristic, complemented
29#21426855C211yesmaximal, characteristic, complemented
30#21426478C211yesmaximal, characteristic, complemented
31C59×#2740C211yesmaximal, characteristic, complemented
32C23×C4×D59C2211yescharacteristic
33C2×#14273715C2211yescharacteristic
34C2×#14273713C2211yescharacteristic
35C2×#14273713C2211yescharacteristic
36C2×#14273712C2211yescharacteristic
37C2×#14273712C2211yescharacteristic
38C2×#14273711C2211yescharacteristic
39C2×#14273711C2211yescharacteristic, complemented
40C2×#14273710C2211yescharacteristic
41C2×#14273705C2211yescharacteristic, complemented
42C2×#14273702C2211yescharacteristic
43C2×#14273700C2211yescharacteristic
44C2×#14273700C2211yescharacteristic
45C2×#14273699C2211yescharacteristic
46C2×#14273697C2211yescharacteristic
47C2×#14273697C2211yescharacteristic
48C2×#14273695C2211yescharacteristic
49C2×#14273685C2211yescharacteristic
50C2×#14273685C2211yescharacteristic
51#16837344C2211yescharacteristic, complemented
52#16837343C2211yescharacteristic, complemented
53#16837342C2211yescharacteristic, complemented
54#16837342C2211yescharacteristic, complemented
55#16837340C2211yescharacteristic, complemented
56#16837335C2211yescharacteristic, complemented
57#16837331C2211yescharacteristic
58#16837331C2211yescharacteristic
59#16837331C2211yescharacteristic
60#16837331C2211yescharacteristic, complemented
61#16837331C2211yescharacteristic, complemented
62#16837329C2211yescharacteristic
63#16837329C2211yescharacteristic, complemented
64#16837329C2211yescharacteristic, complemented
65#16837328C2211yescharacteristic
66#16837328C2211yescharacteristic, complemented
67#16837325C2211yescharacteristic
68#16837325C2211yescharacteristic, complemented
69#16837324C2211yescharacteristic
70#16837323C2211yescharacteristic, complemented
71#16837322C2211yescharacteristic, complemented
72#16837322C2211yescharacteristic, complemented
73#16837320C2211yescharacteristic
74#16837319C2211yescharacteristic
75#16837319C2211yescharacteristic
76#16837319C2211yescharacteristic
77#16837319C2211yescharacteristic, complemented
78#16837318C2211yescharacteristic
79#16837318C2211yescharacteristic, complemented
80#16837317C2211yescharacteristic
81#16837317C2211yescharacteristic
82#16837315C2211yescharacteristic
83#16837315C2211yescharacteristic, complemented
84#16837315C2211yescharacteristic, complemented
85#16837314C2211yescharacteristic
86#16837314C2211yescharacteristic
87#16837312C2211yescharacteristic
88#16837311C2211yescharacteristic
89#16837311C2211yescharacteristic
90#16837311C2211yescharacteristic
91#16837311C2211yescharacteristic, complemented
92#16837310C2211yescharacteristic
93#16837307C2211yescharacteristic, complemented
94#16837306C2211yescharacteristic, complemented
95#16837304C2211yescharacteristic
96#16837303C2211yescharacteristic
97#16837303C2211yescharacteristic, complemented
98#16837302C2211yescharacteristic
99#16837302C2211yescharacteristic
100#16837302C2211yescharacteristic, complemented
101#16837298C2211yescharacteristic, complemented
102#16837295C2211yescharacteristic
103#16837295C2211yescharacteristic, complemented
104#16837294C2211yescharacteristic, complemented
105#16837294C2211yescharacteristic, complemented
106#16837293C2211yescharacteristic
107#16837293C2211yescharacteristic
108#16837293C2211yescharacteristic, complemented
109#16837292C2211yescharacteristic
110#16837292C2211yescharacteristic
111#16837292C2211yescharacteristic
112#16837292C2211yescharacteristic, complemented
113#16837292C2211yescharacteristic, complemented
114#16837291C2211yescharacteristic, complemented
115#16837290C2211yescharacteristic, complemented
116#16837288C2211yescharacteristic, complemented
117#16837287C2211yescharacteristic, complemented
118#16837286C2211yescharacteristic, complemented
119#16837285C2211yescharacteristic, complemented
120#16837285C2211yescharacteristic, complemented
121#16837284C2211yescharacteristic, complemented
122#16837283C2211yescharacteristic, complemented
123#16837283C2211yescharacteristic, complemented
124#16837283C2211yescharacteristic, complemented
125#16837282C2211yescharacteristic
126#16837281C2211yescharacteristic
127#16837280C2211yescharacteristic
128#16837280C2211yescharacteristic
129#16837280C2211yescharacteristic
130#16837280C2211yescharacteristic
131#16837280C2211yescharacteristic
132#16837280C2211yescharacteristic
133#16837280C2211yescharacteristic
134#16837280C2211yescharacteristic, complemented
135#16837279C2211yescharacteristic
136#16837279C2211yescharacteristic
137#16837279C2211yescharacteristic, complemented
138#16837278C2211yescharacteristic
139#16837278C2211yescharacteristic
140#16837278C2211yescharacteristic
141#16837278C2211yescharacteristic
142#16837278C2211yescharacteristic, complemented
143#16837278C2211yescharacteristic, complemented
144#16837276C2211yescharacteristic
145#16837276C2211yescharacteristic
146#16837276C2211yescharacteristic
147#16837276C2211yescharacteristic
148#16837276C2211yescharacteristic, complemented
149#16837276C2211yescharacteristic, complemented
150#16837269C2211yescharacteristic, complemented
151#16837264C2211yescharacteristic
152#16837264C2211yescharacteristic
153#16837263C2211yescharacteristic
154#16837262C2211yescharacteristic
155#16837261C2211yescharacteristic
156#16837261C2211yescharacteristic
157#16837260C2211yescharacteristic
158#16837260C2211yescharacteristic, complemented
159#16837259C2211yescharacteristic
160#16837259C2211yescharacteristic
161#16837257C2211yescharacteristic
162#16837257C2211yescharacteristic
163#16837257C2211yescharacteristic
164C4×C4⋊Dic59C2211yescharacteristic, complemented
165C22⋊C4×Dic59C2211yescharacteristic
166C22⋊C4×Dic59C2211yescharacteristic
167C22⋊C4×Dic59C2211yescharacteristic, complemented
168C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
169#16837249C2211yescharacteristic
170#16837249C2211yescharacteristic
171#16837249C2211yescharacteristic, complemented
172C59×#399C2211yescharacteristic, complemented
173C59×#398C2211yescharacteristic, complemented
174C59×#397C2211yescharacteristic, complemented
175C59×#397C2211yescharacteristic, complemented
176C59×#396C2211yescharacteristic
177C59×#394C2211yescharacteristic
178C59×#390C2211yescharacteristic
179C59×#388C2211yescharacteristic
180C59×#388C2211yescharacteristic, complemented
181C59×#387C2211yescharacteristic, complemented
182C59×#387C2211yescharacteristic, complemented
183C59×#387C2211yescharacteristic, complemented
184C59×#386C2211yescharacteristic
185C59×#381C2211yescharacteristic
186C59×#380C2211yescharacteristic
187C24×D59C2311yescharacteristic
188C22×Dic118C2311yescharacteristic
189C22×Dic118C2311yescharacteristic
190C22×D236C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
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—24no—
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
212#14273715—42no—
213#14273713—42no—
214#14273713—42no—
215#14273712—42no—
216#14273712—42no—
217#14273711—24no—
218#14273711—42no—
219#14273710—42no—
220#14273705—42no—
221#14273702—42no—
222#14273700—42no—
223#14273700—42no—
224#14273699—24no—
225#14273697—42no—
226#14273697—42no—
227#14273695—42no—
228#14273685—42no—
229#14273685—42no—
230C2×C4⋊Dic59C2311yescharacteristic
231C2×C4⋊Dic59C2311yescharacteristic
232C2×C4⋊Dic59C2311yescharacteristic
233C2×C4⋊Dic59C2311yescharacteristic
234C2×C4⋊Dic59C2311yescharacteristic
235C2×C4⋊Dic59C2311yescharacteristic
236C2×Dic59⋊C4C2311yescharacteristic
237C2×Dic59⋊C4C2311yescharacteristic
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×C22⋊Dic59C2311yescharacteristic
247C2×C22⋊Dic59C2311yescharacteristic
248C2×C22⋊Dic59C2311yescharacteristic
249C2×C22⋊Dic59C2311yescharacteristic
250C2×C22⋊Dic59C2311yescharacteristic
251C2×C22⋊Dic59C2311yescharacteristic
252C2×C22⋊Dic59C2311yescharacteristic
253C2×(C2×D59)⋊C4C2311yescharacteristic
254C2×(C2×D59)⋊C4C2311yescharacteristic
255C2×(C2×D59)⋊C4C2311yescharacteristic
256C2×(C2×D59)⋊C4C2311yescharacteristic
257C2×(C2×D59)⋊C4C2311yescharacteristic
258C2×(C2×D59)⋊C4C2311yescharacteristic
259C2×(C2×D59)⋊C4C2311yescharacteristic
260C2×(C2×D59)⋊C4C2311yescharacteristic
261C2×(C2×D59)⋊C4C2311yescharacteristic
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×C4×Dic59C2311yescharacteristic
290C2×C4×Dic59C2311yescharacteristic
291C2×C4×Dic59C2311yescharacteristic
292C2×C4×Dic59C2311yescharacteristic
293C2×C4×Dic59C2311yescharacteristic
294C2×C4×Dic59C2311yescharacteristic
295C2×C4×Dic59C2311yescharacteristic
296C59⋊#95C2311yescharacteristic
297C59⋊#95C2311yescharacteristic
298C59⋊#95C2311yescharacteristic
299C59⋊#95C2311yescharacteristic
300C59⋊#95C2311yescharacteristic
301C59⋊#95C2311yescharacteristic
302C59⋊#95C2311yescharacteristic
303C59⋊#95C2311yescharacteristic
304C59⋊#95C2311yescharacteristic
305C59⋊#95C2311yescharacteristic
306C59⋊#95C2311yescharacteristic
307C59⋊#95C2311yescharacteristic
308C59⋊#95C2311yescharacteristic
309C59⋊#95C2311yescharacteristic
310C59⋊#95C2311yescharacteristic
311C59⋊#95C2311yescharacteristic
312C59⋊#95C2311yescharacteristic
313C59⋊#95C2311yescharacteristic
314C59⋊#95C2311yescharacteristic
315C59⋊#95C2311yescharacteristic
316C59⋊#95C2311yescharacteristic
317C59⋊#95C2311yescharacteristic
318C59⋊#95C2311yescharacteristic
319C59⋊#95C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C22×D4×C59C2311yescharacteristic
329C23×C4×C59C2311yescharacteristic
330C2×C4⋊C4×C59C2311yescharacteristic
331C2×C4⋊C4×C59C2311yescharacteristic
332C2×C4⋊C4×C59C2311yescharacteristic
333C2×C4⋊C4×C59C2311yescharacteristic
334C2×C4⋊C4×C59C2311yescharacteristic
335C2×C4⋊C4×C59C2311yescharacteristic
336C2×C4⋊C4×C59C2311yescharacteristic
337C2×C4⋊C4×C59C2311yescharacteristic
338C2×C22⋊C4×C59C2311yescharacteristic
339C2×C22⋊C4×C59C2311yescharacteristic
340C2×C22⋊C4×C59C2311yescharacteristic
341C2×C22⋊C4×C59C2311yescharacteristic
342C2×C22⋊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
363C24×C59C2411yescharacteristic
364C24×C59C2411yescharacteristic
365C23×D59—22no—
366C23×D59—22no—
367C23×D59—22no—
368C23×D59—41no—
369C23×D59—41no—
370C23×D59—41no—
371C23×D59—41no—
372C23×D59C2411yescharacteristic
373C23×D59C2411yescharacteristic
374C23×D59C2411yescharacteristic
375C23×D59C2411yescharacteristic
376C2×D4×C59—22no—
377C2×D4×C59—41no—
378C2×D4×C59—41no—
379C22×C4×C59—22no—
380C22×C4×C59—22no—
381C22×C4×C59—41no—
382C22×C4×C59C2411yescharacteristic
383C22×C4×C59C2411yescharacteristic
384C22×C4×C59C2411yescharacteristic
385C22×C4×C59C2411yescharacteristic
386C22×C4×C59C2411yescharacteristic
387C22×C4×C59C2411yescharacteristic
388C22×C4×C59C2411yescharacteristic
389C22×C4×C59C2411yescharacteristic
390C22×C4×C59C2411yescharacteristic
391C22×C4×C59C2411yescharacteristic
392C22×C4×C59C2411yescharacteristic
393C22×C4×C59C2411yescharacteristic
394C22×C4×C59C2411yescharacteristic
395C2×C22⋊D59—22no—
396C2×C22⋊D59—22no—
397C2×C22⋊D59—22no—
398C2×C22⋊D59—22no—
399C2×C22⋊D59—22no—
400C2×C22⋊D59—41no—
401C2×C22⋊D59—41no—
402C2×C22⋊D59—41no—
403C2×C22⋊D59—41no—
404C2×C22⋊D59—41no—
405C2×C22⋊D59—41no—
406C2×C22⋊D59—41no—
407C2×C22⋊D59—41no—
408C2×C22⋊D59—41no—
409C2×C22⋊D59—41no—
410C2×C22⋊D59—41no—
411C2×C22⋊D59—41no—
412C2×C22⋊D59—41no—
413C22×Dic59—41no—
414C22×Dic59—41no—
415C22×Dic59—41no—
416C22×Dic59—41no—
417C22×Dic59—41no—
418C22×Dic59#4114yes—
419C22×Dic59C2411yescharacteristic
420C22×Dic59C2411yescharacteristic
421C22×Dic59C2411yescharacteristic
422C22×Dic59C2411yescharacteristic
423C22×Dic59C2411yescharacteristic
424C22×Dic59C2411yescharacteristic
425C22×Dic59C2411yescharacteristic
426C22×Dic59C2411yescharacteristic
427C22×Dic59C2411yescharacteristic
428C22×Dic59C2411yescharacteristic
429C22×Dic59C2411yescharacteristic
430C22×Dic59C2411yescharacteristic
431C2×D236—22no—
432C2×D236—22no—
433C2×D236—22no—
434C2×D236—22no—
435C2×D236—41no—
436C2×D236—41no—
437C2×D236—41no—
438C2×D236—41no—
439C2×D236—41no—
440C2×D236—41no—
441C2×D236—41no—
442C2×D236—41no—
443C2×D236—41no—
444C2×D236—41no—
445C2×D236—41no—
446C2×C4×D59—22no—
447C2×C4×D59—22no—
448C2×C4×D59—22no—
449C2×C4×D59—22no—
450C2×C4×D59—22no—
451C2×C4×D59—22no—
452C2×C4×D59—22no—
453C2×C4×D59—22no—
454C2×C4×D59—416no—
455C2×C4×D59—41no—
456C2×C4×D59—41no—
457C2×C4×D59—41no—
458C2×C4×D59—41no—
459C2×C4×D59—41no—
460C2×C4×D59—41no—
461C2×C4×D59—41no—
462C2×C4×D59—41no—
463C2×C4×D59—41no—
464C2×C4×D59—41no—
465C2×Dic118—41no—
466C2×Dic118—41no—
467C2×Dic118—41no—
468C2×Dic118—41no—
469C2×Dic118—41no—
470C2×Dic118—41no—
471C4⋊C4×C59—22no—
472C4⋊C4×C59—41no—
473C4⋊C4×C59—41no—
474C4⋊C4×C59—41no—
475C4⋊C4×C59—41no—
476C4⋊C4×C59—41no—
477C4⋊C4×C59—41no—
478C4⋊C4×C59—41no—
479C22⋊C4×C59—22no—
480C22⋊C4×C59—22no—
481C22⋊C4×C59—41no—
482C22⋊C4×C59—41no—
483C22⋊C4×C59—41no—
484C22⋊C4×C59—41no—
485C22⋊C4×C59—41no—
486C22⋊C4×C59—41no—
487C22⋊C4×C59—41no—
488C22⋊C4×C59—41no—
489C22⋊C4×C59—41no—
490C42×C59—41no—
491C42×C59—41no—
492C22⋊Dic59—22no—
493C22⋊Dic59—41no—
494C22⋊Dic59—41no—
495C22⋊Dic59—41no—
496C22⋊Dic59—41no—
497C22⋊Dic59—41no—
498C22⋊Dic59—41no—
499(C2×D59)⋊C4—22no—
500(C2×D59)⋊C4—22no—
501(C2×D59)⋊C4—22no—
502(C2×D59)⋊C4—22no—
503(C2×D59)⋊C4—22no—
504(C2×D59)⋊C4—22no—
505(C2×D59)⋊C4—22no—
506(C2×D59)⋊C4—22no—
507(C2×D59)⋊C4—22no—
508(C2×D59)⋊C4—22no—
509(C2×D59)⋊C4—22no—
510(C2×D59)⋊C4—22no—
511(C2×D59)⋊C4—22no—
512(C2×D59)⋊C4—41no—
513(C2×D59)⋊C4—41no—
514(C2×D59)⋊C4—41no—
515(C2×D59)⋊C4—41no—
516(C2×D59)⋊C4—41no—
517(C2×D59)⋊C4—41no—
518(C2×D59)⋊C4—41no—
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—
535C4⋊Dic59—22no—
536C4⋊Dic59—22no—
537C4⋊Dic59—22no—
538C4⋊Dic59—41no—
539C4⋊Dic59—41no—
540C4⋊Dic59—41no—
541Dic59⋊C4—22no—
542Dic59⋊C4—22no—
543Dic59⋊C4—41no—
544Dic59⋊C4—41no—
545Dic59⋊C4—41no—
546Dic59⋊C4—41no—
547Dic59⋊C4—41no—
548Dic59⋊C4—41no—
549Dic59⋊C4—41no—
550Dic59⋊C4—41no—
551C4×Dic59—41no—
552C4×Dic59—41no—
553C4×Dic59—41no—
554C4×Dic59—41no—
555C4×Dic59—41no—
556C4×Dic59—41no—
557C4×Dic59—41no—
558C23×C59—21no—
559C23×C59—21no—
560C23×C59—21no—
561C23×C59—21no—
562C23×C59—21no—
563C23×C59—21no—
564C23×C59—21no—
565C23×C59—21no—
566C23×C59—21no—
567C23×C59—21no—
568C23×C59—21no—
569C23×C59—21no—
570C23×C59—21no—
571C23×C59C2×#4112yes—
572C23×C59C2511yescharacteristic
573C22×D59—21no—
574C22×D59—21no—
575C22×D59—21no—
576C22×D59—21no—
577C22×D59—21no—
578C22×D59—21no—
579C22×D59—21no—
580C22×D59—21no—
581C22×D59—21no—
582C22×D59—21no—
583C22×D59—21no—
584C22×D59—21no—
585C22×D59—21no—
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—44no—
600C22×D59—44no—
601C22×D59—44no—
602C22×D59—44no—
603C22×D59—44no—
604C22×D59—44no—
605C22×D59—44no—
606C22×D59H(5,𝔽2)12yes—
607C22×D59H(5,𝔽2)12yes—
608D4×C59—82no—
609C2×C4×C59—21no—
610C2×C4×C59—21no—
611C2×C4×C59—21no—
612C2×C4×C59—21no—
613C2×C4×C59—21no—
614C2×C4×C59—21no—
615C2×C4×C59—21no—
616C2×C4×C59—21no—
617C2×C4×C59—21no—
618C2×C4×C59—21no—
619C2×C4×C59—21no—
620C2×C4×C59—21no—
621C2×C4×C59—21no—
622C2×C4×C59—21no—
623C2×C4×C59—21no—
624C2×C4×C59—21no—
625C2×C4×C59—21no—
626C2×C4×C59—21no—
627C2×C4×C59—21no—
628C2×C4×C59—21no—
629C2×C4×C59—21no—
630C2×C4×C59—21no—
631C2×C4×C59—21no—
632C2×C4×C59—21no—
633C2×C4×C59—21no—
634C2×C4×C59—21no—
635C2×C4×C59—21no—
636C2×C4×C59—21no—
637C2×C4×C59—21no—
638C2×C4×C59—21no—
639C2×C4×C59—21no—
640C2×C4×C59—21no—
641C2×C4×C59—21no—
642C2×C4×C59—21no—
643C2×C4×C59—21no—
644C2×C4×C59—21no—
645C2×C4×C59—21no—
646C2×C4×C59—21no—
647C2×C4×C59—44no—
648C2×C4×C59H(5,𝔽2)12yes—
649C22⋊D59—82no—
650C22⋊D59—82no—
651C22⋊D59—82no—
652C22⋊D59—82no—
653C22⋊D59—82no—
654C22⋊D59—82no—
655C2×Dic59—21no—
656C2×Dic59—21no—
657C2×Dic59—21no—
658C2×Dic59—21no—
659C2×Dic59—21no—
660C2×Dic59—21no—
661C2×Dic59—21no—
662C2×Dic59—21no—
663C2×Dic59—21no—
664C2×Dic59—21no—
665C2×Dic59—21no—
666C2×Dic59—21no—
667C2×Dic59—21no—
668C2×Dic59—21no—
669C2×Dic59—21no—
670C2×Dic59—21no—
671C2×Dic59—21no—
672C2×Dic59—21no—
673C2×Dic59—21no—
674C2×Dic59—21no—
675C2×Dic59—21no—
676C2×Dic59—21no—
677C2×Dic59—21no—
678C2×Dic59—21no—
679C2×Dic59—21no—
680C2×Dic59—21no—
681C2×Dic59—21no—
682C2×Dic59—21no—
683C2×Dic59—21no—
684C2×Dic59—21no—
685C2×Dic59—21no—
686C2×Dic59—21no—
687C2×Dic59—21no—
688C2×Dic59—21no—
689C2×Dic59—44no—
690C2×Dic59—82no—
691C2×Dic59C2×#4112yes—
692C2×Dic59C2×#4112yes—
693D236—82no—
694D236—82no—
695D236—82no—
696D236—82no—
697D236—82no—
698C4×D59—28no—
699C4×D59—44no—
700C4×D59—44no—
701C4×D59—44no—
702C4×D59—82no—
703C4×D59—82no—
704Dic118—82no—
705Dic118—82no—
706#36735—591nomaximal, Sylow
707C22×C59—22no—
708C22×C59—22no—
709C22×C59—22no—
710C22×C59—41no—
711C22×C59—41no—
712C22×C59—41no—
713C22×C59—41no—
714C22×C59—41no—
715C22×C59—41no—
716C22×C59—41no—
717C22×C59—41no—
718C22×C59—41no—
719C22×C59—41no—
720C22×C59—41no—
721C22×C59C22×#4111yescharacteristic
722C22×C59C2×H(5,𝔽2)11yescharacteristic
723C22×C59C2×H(5,𝔽2)11yescharacteristic
724C22×C59C2×H(5,𝔽2)11yescharacteristic
725C22×C59#58511yescharacteristic
726C22×C59#58511yescharacteristic
727C22×C59#58511yescharacteristic
728C2×D59—22no—
729C2×D59—22no—
730C2×D59—22no—
731C2×D59—22no—
732C2×D59—22no—
733C2×D59—22no—
734C2×D59—416no—
735C2×D59—41no—
736C2×D59—41no—
737C2×D59—41no—
738C2×D59—41no—
739C2×D59—41no—
740C2×D59—41no—
741C2×D59—41no—
742C2×D59—41no—
743C2×D59—41no—
744C2×D59—41no—
745C2×D59—41no—
746C2×D59—41no—
747C2×D59—41no—
748C2×D59—41no—
749C2×D59—41no—
750C2×D59—41no—
751C2×D59—41no—
752C2×D59—41no—
753C2×D59—41no—
754C2×D59—41no—
755C2×D59—41no—
756C2×D59—41no—
757C4×C59—22no—
758C4×C59—41no—
759C4×C59—41no—
760C4×C59—41no—
761C4×C59—41no—
762C4×C59—41no—
763C4×C59—41no—
764C4×C59—41no—
765C4×C59—41no—
766C4×C59—41no—
767C4×C59—41no—
768C4×C59—41no—
769C4×C59—41no—
770Dic59—22no—
771Dic59—22no—
772Dic59—41no—
773Dic59—41no—
774Dic59—41no—
775Dic59—41no—
776Dic59—41no—
777Dic59—41no—
778Dic59—41no—
779Dic59—41no—
780Dic59—41no—
781Dic59—41no—
782#2849—591no—
783#2847—591no—
784#2747—591no—
785#2740D5911yescharacteristic, complemented
786#2739—591no—
787#2737—591no—
788#2737—591no—
789#2717—591no—
790#2703—591no—
791#2697—591no—
792#2696—591no—
793#2693—591no—
794#2688—591no—
795#2686—591no—
796#2684—591no—
797#2678—591no—
798#2672—591no—
799#2670—591no—
800#2665—591no—
801#2661—591no—
802#2597—591no—
803#2578—591no—
804#2557—591no—
805#2557—591no—
806#2477—591no—
807#2476—591no—
808#2474—591no—
809#2471—591no—
810#2335—591no—
811#2333—591no—
812#2280—591no—
813C2×C59—42no—
814C2×C59—81no—
815C2×C59#345511yescharacteristic
816C2×C59#349011yescharacteristic
817C2×C59#349411yescharacteristic
818C2×C59#353311yescharacteristic
819C2×C59#353411yescharacteristic
820C2×C59#354011yescharacteristic
821C2×C59#354211yescharacteristic
822D59—42no—
823D59—42no—
824D59—81no—
825D59—81no—
826C24×C4—591no—
827C2×#124—591no—
828C2×#124—591no—
829C2×#124—591no—
830C2×#123—591no—
831C2×#123—591no—
832C2×#123—591no—
833C2×#123—591no—
834C2×#123—591no—
835C2×C22⋊Q8—591no—
836C2×#121—591no—
837C2×#121—591no—
838C2×#121—591no—
839C2×#121—591no—
840C2×#120—591no—
841C2×#120—591no—
842C2×#120—591no—
843C2×#117—591no—
844C2×#117—591no—
845#400—591no—
846#400—591no—
847#400—591no—
848#400—591no—
849#400—591no—
850#399C2×D5911yescharacteristic, complemented
851#398—591no—
852#398C2×D5911yescharacteristic, complemented
853#397—591no—
854#397—591no—
855#397—591no—
856#397—591no—
857#397—591no—
858#397—591no—
859#397—591no—
860#397—591no—
861#397—591no—
862#397—591no—
863#397C2×D5911yescharacteristic, complemented
864#397C2×D5911yescharacteristic, complemented
865#396—591no—
866#396—591no—
867#396—591no—
868#396C2×D5911yescharacteristic
869#395—591no—
870#395—591no—
871#395—591no—
872#394—591no—
873#394—591no—
874#394—591no—
875#394—591no—
876#394—591no—
877#394—591no—
878#394—591no—
879#394—591no—
880#394—591no—
881#394C2×D5911yescharacteristic
882#393—591no—
883#393—591no—
884#393—591no—
885#393—591no—
886#393—591no—
887#392—591no—
888#392—591no—
889#392—591no—
890#392—591no—
891#392—591no—
892#392—591no—
893#391—591no—
894#391—591no—
895#390—591no—
896#390—591no—
897#390—591no—
898#390—591no—
899#390—591no—
900#390—591no—
901#390C2×D5911yescharacteristic
902#389—591no—
903#388—591no—
904#388—591no—
905#388—591no—
906#388—591no—
907#388—591no—
908#388—591no—
909#388—591no—
910#388—591no—
911#388—591no—
912#388—591no—
913#388—591no—
914#388—591no—
915#388—591no—
916#388—591no—
917#388C2×D5911yescharacteristic
918#388C2×D5911yescharacteristic, complemented
919#387—591no—
920#387—591no—
921#387—591no—
922#387—591no—
923#387—591no—
924#387—591no—
925#387—591no—
926#387—591no—
927#387—591no—
928#387C2×D5911yescharacteristic, complemented
929#387C2×D5911yescharacteristic, complemented
930#387C2×D5911yescharacteristic, complemented
931#386—591no—
932#386—591no—
933#386—591no—
934#386—591no—
935#386—591no—
936#386—591no—
937#386—591no—
938#386—591no—
939#386—591no—
940#386—591no—
941#386—591no—
942#386—591no—
943#386—591no—
944#386—591no—
945#386—591no—
946#386—591no—
947#386—591no—
948#386—591no—
949#386—591no—
950#386C2×D5911yescharacteristic
951#385—591no—
952#385—591no—
953#385—591no—
954#385—591no—
955#385—591no—
956#385—591no—
957#383—591no—
958#381—591no—
959#381—591no—
960#381—591no—
961#381C2×D5911yescharacteristic
962#380—591no—
963#380—591no—
964#380—591no—
965#380—591no—
966#380—591no—
967#380—591no—
968#380—591no—
969#380C2×D5911yescharacteristic
970#379—591no—
971#379—591no—
972#379—591no—
973C4×C4⋊C4—591no—
974C4×C22⋊C4—591no—
975C4×C22⋊C4—591no—
976C4×C22⋊C4—591no—
977C4×C22⋊C4—591no—
978C4×C22⋊C4—591no—
979C4×C22⋊C4—591no—
980C4×C22⋊C4—591no—
981C59#3673511yescharacteristic, complemented, Sylow
982C25—591no—
983C22×Q8—591no—
984C22×Q8—591no—
985C22×D4—591no—
986C22×D4—591no—
987C22×D4—591no—
988C22×D4—591no—
989C22×D4—591no—
990C22×D4—591no—
991C22×D4—591no—
992C22×D4—591no—
993C22×D4—591no—
994C22×D4—591no—
995C22×D4—591no—
996C22×D4C22×D5911yescharacteristic
997C23×C4—591no—
998C23×C4—591no—
999C23×C4—591no—
1000C23×C4—591no—
1001C23×C4—591no—
1002C23×C4—591no—
1003C23×C4—591no—
1004C23×C4—591no—
1005C23×C4—1184no—
1006C23×C4—2362no—
1007C23×C4—2362no—
1008C23×C4C22×D5911yescharacteristic
1009#124—2362no—
1010#124—2362no—
1011#124—2362no—
1012#123—1184no—
1013#123—2362no—
1014#123—2362no—
1015#123—2362no—
1016#123—2362no—
1017C22⋊Q8—2362no—
1018#121—1184no—
1019#121—2362no—
1020#121—2362no—
1021#121—2362no—
1022#120—2362no—
1023#120—2362no—
1024#120—2362no—
1025#117—2362no—
1026#117—2362no—
1027C2×C4⋊C4—591no—
1028C2×C4⋊C4—591no—
1029C2×C4⋊C4—591no—
1030C2×C4⋊C4—591no—
1031C2×C4⋊C4—591no—
1032C2×C4⋊C4—591no—
1033C2×C4⋊C4—591no—
1034C2×C4⋊C4—591no—
1035C2×C4⋊C4—591no—
1036C2×C4⋊C4—591no—
1037C2×C4⋊C4—591no—
1038C2×C4⋊C4—591no—
1039C2×C4⋊C4—591no—
1040C2×C4⋊C4—591no—
1041C2×C4⋊C4—591no—
1042C2×C4⋊C4—591no—
1043C2×C4⋊C4C22×D5911yescharacteristic
1044C2×C4⋊C4C22×D5911yescharacteristic
1045C2×C4⋊C4C22×D5911yescharacteristic
1046C2×C4⋊C4C22×D5911yescharacteristic
1047C2×C4⋊C4C22×D5911yescharacteristic
1048C2×C4⋊C4C22×D5911yescharacteristic
1049C2×C4⋊C4C22×D5911yescharacteristic
1050C2×C4⋊C4C22×D5911yescharacteristic
1051C2×C22⋊C4—591no—
1052C2×C22⋊C4—591no—
1053C2×C22⋊C4—591no—
1054C2×C22⋊C4—591no—
1055C2×C22⋊C4—591no—
1056C2×C22⋊C4—591no—
1057C2×C22⋊C4—591no—
1058C2×C22⋊C4—591no—
1059C2×C22⋊C4—591no—
1060C2×C22⋊C4—591no—
1061C2×C22⋊C4—591no—
1062C2×C22⋊C4—591no—
1063C2×C22⋊C4—591no—
1064C2×C22⋊C4—591no—
1065C2×C22⋊C4—591no—
1066C2×C22⋊C4—591no—
1067C2×C22⋊C4—591no—
1068C2×C22⋊C4—591no—
1069C2×C22⋊C4—591no—
1070C2×C22⋊C4—591no—
1071C2×C22⋊C4—591no—
1072C2×C22⋊C4—591no—
1073C2×C22⋊C4—591no—
1074C2×C22⋊C4—591no—
1075C2×C22⋊C4—591no—
1076C2×C22⋊C4—591no—
1077C2×C22⋊C4—591no—
1078C2×C22⋊C4—591no—
1079C2×C22⋊C4—591no—
1080C2×C22⋊C4—591no—
1081C2×C22⋊C4—591no—
1082C2×C22⋊C4—591no—
1083C2×C22⋊C4—591no—
1084C2×C22⋊C4—591no—
1085C2×C22⋊C4—591no—
1086C2×C22⋊C4—591no—
1087C2×C22⋊C4—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⋊C4C22×D5911yescharacteristic
1095C2×C22⋊C4C22×D5911yescharacteristic
1096C2×C22⋊C4C22×D5911yescharacteristic
1097C2×C22⋊C4C22×D5911yescharacteristic
1098C2×C22⋊C4C22×D5911yescharacteristic
1099C2×C22⋊C4C22×D5911yescharacteristic
1100C2×C22⋊C4C22×D5911yescharacteristic
1101C2×C22⋊C4C22×D5911yescharacteristic
1102C2×C22⋊C4C22×D5911yescharacteristic
1103C2×C22⋊C4C22×D5911yescharacteristic
1104C2×C22⋊C4C22×D5911yescharacteristic
1105C2×C42—591no—
1106C2×C42—591no—
1107C2×C42—591no—
1108C2×C42—591no—
1109C2×C42—591no—
1110C2×C42—591no—
1111C2×C42—591no—
1112C2×C42C22×D5911yescharacteristic
1113C2×C42C22×D5911yescharacteristic
1114#95—591no—
1115#95—591no—
1116#95—591no—
1117#95—591no—
1118#95—591no—
1119#95—591no—
1120#95—591no—
1121#95—591no—
1122#95—591no—
1123#95—591no—
1124#95—591no—
1125#95—591no—
1126#95—591no—
1127#95—591no—
1128#95—591no—
1129#95—591no—
1130#95—591no—
1131#95—591no—
1132#95—591no—
1133#95—591no—
1134#95—591no—
1135#95—591no—
1136#95—591no—
1137#95—591no—
1138#95—591no—
1139#95—591no—
1140#95—591no—
1141#95—591no—
1142#95—591no—
1143#95—591no—
1144#95—591no—
1145#95—591no—
1146#95C22×D5911yescharacteristic
1147#95C22×D5911yescharacteristic
1148#95C22×D5911yescharacteristic
1149#95C22×D5911yescharacteristic
1150#95C22×D5911yescharacteristic
1151#95C22×D5911yescharacteristic
1152#95C22×D5911yescharacteristic
1153#95C22×D5911yescharacteristic
1154#95C22×D5911yescharacteristic
1155#95C22×D5911yescharacteristic
1156#95C22×D5911yescharacteristic
1157#95C22×D5911yescharacteristic
1158C24—591no—
1159C24—591no—
1160C24—591no—
1161C24—591no—
1162C24—1182no—
1163C24—1182no—
1164C24—1182no—
1165C24—2361no—
1166C24—2361no—
1167C24—2361no—
1168C24—2361no—
1169C24C23×D5911yescharacteristic
1170C24C23×D5911yescharacteristic
1171C2×Q8—2361no—
1172C2×Q8—2361no—
1173C2×Q8—2361no—
1174C2×Q8—2361no—
1175C2×Q8—2361no—
1176C2×Q8—2361no—
1177C2×D4—22no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—1182no—
1181C2×D4—1182no—
1182C2×D4—1182no—
1183C2×D4—1182no—
1184C2×D4—1182no—
1185C2×D4—1182no—
1186C2×D4—1182no—
1187C2×D4—1182no—
1188C2×D4—1182no—
1189C2×D4—2361no—
1190C2×D4—2361no—
1191C2×D4—2361no—
1192C2×D4—2361no—
1193C2×D4—2361no—
1194C2×D4—2361no—
1195C2×D4—2361no—
1196C2×D4—2361no—
1197C2×D4—2361no—
1198C2×D4—2361no—
1199C2×D4—2361no—
1200C2×D4—2361no—
1201C2×D4—2361no—
1202C2×D4—2361no—
1203C2×D4—2361no—
1204C2×D4—2361no—
1205C2×D4—2361no—
1206C2×D4—2361no—
1207C2×D4—2361no—
1208C2×D4—2361no—
1209C2×D4—2361no—
1210C2×D4—2361no—
1211C2×D4—2361no—
1212C2×D4—2361no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—41no—
1216C22×C4—591no—
1217C22×C4—591no—
1218C22×C4—594no—
1219C22×C4—591no—
1220C22×C4—591no—
1221C22×C4—591no—
1222C22×C4—591no—
1223C22×C4—591no—
1224C22×C4—591no—
1225C22×C4—591no—
1226C22×C4—591no—
1227C22×C4—591no—
1228C22×C4—591no—
1229C22×C4—1182no—
1230C22×C4—1182no—
1231C22×C4—1182no—
1232C22×C4—1182no—
1233C22×C4—1182no—
1234C22×C4—1182no—
1235C22×C4—1182no—
1236C22×C4—1182no—
1237C22×C4—2361no—
1238C22×C4—2361no—
1239C22×C4—2361no—
1240C22×C4—2361no—
1241C22×C4—2361no—
1242C22×C4—2361no—
1243C22×C4—2361no—
1244C22×C4—2361no—
1245C22×C4—2361no—
1246C22×C4—2361no—
1247C22×C4—23616no—
1248C22×C4—2361no—
1249C22×C4—2361no—
1250C22×C4—2361no—
1251C22×C4—2361no—
1252C22×C4—2361no—
1253C22×C4C23×D5911yescharacteristic
1254C22×C4C23×D5911yescharacteristic
1255C22×C4C23×D5911yescharacteristic
1256C22×C4C23×D5911yescharacteristic
1257C22×C4C23×D5911yescharacteristic
1258C22×C4C23×D5911yescharacteristic
1259C22×C4C23×D5911yescharacteristic
1260C22×C4C23×D5911yescharacteristic
1261C22×C4C23×D5911yescharacteristic
1262C22×C4C23×D5911yescharacteristic
1263C22×C4C23×D5911yescharacteristic
1264C22×C4C23×D5911yescharacteristic
1265C22×C4C23×D5911yescharacteristic
1266C4⋊C4—22no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—1182no—
1275C4⋊C4—1182no—
1276C4⋊C4—1182no—
1277C4⋊C4—1182no—
1278C4⋊C4—1182no—
1279C4⋊C4—2361no—
1280C4⋊C4—2361no—
1281C4⋊C4—2361no—
1282C4⋊C4—2361no—
1283C4⋊C4—2361no—
1284C4⋊C4—2361no—
1285C4⋊C4—2361no—
1286C4⋊C4—2361no—
1287C4⋊C4—2361no—
1288C4⋊C4—2361no—
1289C4⋊C4—2361no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—1182no—
1302C22⋊C4—1182no—
1303C22⋊C4—1182no—
1304C22⋊C4—1182no—
1305C22⋊C4—1182no—
1306C22⋊C4—1182no—
1307C22⋊C4—1182no—
1308C22⋊C4—1182no—
1309C22⋊C4—1182no—
1310C22⋊C4—1182no—
1311C22⋊C4—1182no—
1312C22⋊C4—1182no—
1313C22⋊C4—1182no—
1314C22⋊C4—1182no—
1315C22⋊C4—2361no—
1316C22⋊C4—2361no—
1317C22⋊C4—2361no—
1318C22⋊C4—2361no—
1319C22⋊C4—2361no—
1320C22⋊C4—2361no—
1321C22⋊C4—2361no—
1322C22⋊C4—2361no—
1323C22⋊C4—2361no—
1324C22⋊C4—2361no—
1325C22⋊C4—2361no—
1326C22⋊C4—2361no—
1327C22⋊C4—2361no—
1328C22⋊C4—2361no—
1329C22⋊C4—2361no—
1330C22⋊C4—2361no—
1331C22⋊C4—2361no—
1332C22⋊C4—2361no—
1333C22⋊C4—2361no—
1334C22⋊C4—2361no—
1335C22⋊C4—2361no—
1336C22⋊C4—2361no—
1337C22⋊C4—2361no—
1338C22⋊C4—2361no—
1339C22⋊C4—2361no—
1340C22⋊C4—2361no—
1341C22⋊C4—2361no—
1342C22⋊C4—2361no—
1343C22⋊C4—2361no—
1344C42—41no—
1345C42—41no—
1346C42—2361no—
1347C42—2361no—
1348C42—2361no—
1349C42—2361no—
1350C42—2361no—
1351C42—2361no—
1352C42—2361no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—592no—
1367C23—592no—
1368C23—1181no—
1369C23—1181no—
1370C23—1181no—
1371C23—1181no—
1372C23—1181no—
1373C23—1181no—
1374C23—1181no—
1375C23—1181no—
1376C23—1181no—
1377C23—1181no—
1378C23—1181no—
1379C23—1181no—
1380C23—1181no—
1381C23—1181no—
1382C23—1181no—
1383C23—1181no—
1384C23—1181no—
1385C23—1181no—
1386C23—1181no—
1387C23—1181no—
1388C23—1181no—
1389C23—1181no—
1390C23—1181no—
1391C23—1181no—
1392C23—1181no—
1393C23—1181no—
1394C23—2364no—
1395C23—2364no—
1396C23—2364no—
1397C23—2364no—
1398C23—2364no—
1399C23—2364no—
1400C23—2364no—
1401C23#41×D5912yes—
1402C23C24×D5911yescharacteristic
1403Q8—4722no—
1404Q8—4722no—
1405D4—82no—
1406D4—4722no—
1407D4—4722no—
1408D4—4722no—
1409D4—4722no—
1410D4—4722no—
1411D4—4722no—
1412D4—4722no—
1413D4—4722no—
1414D4—4722no—
1415D4—4722no—
1416D4—4722no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—44no—
1456C2×C4—592no—
1457C2×C4—592no—
1458C2×C4—1188no—
1459C2×C4—1181no—
1460C2×C4—1181no—
1461C2×C4—1181no—
1462C2×C4—1181no—
1463C2×C4—1181no—
1464C2×C4—1181no—
1465C2×C4—1181no—
1466C2×C4—1181no—
1467C2×C4—1181no—
1468C2×C4—1181no—
1469C2×C4—1181no—
1470C2×C4—1181no—
1471C2×C4—1181no—
1472C2×C4—1181no—
1473C2×C4—1181no—
1474C2×C4—1181no—
1475C2×C4—1181no—
1476C2×C4—1181no—
1477C2×C4—1181no—
1478C2×C4—1181no—
1479C2×C4—1181no—
1480C2×C4—1181no—
1481C2×C4—1181no—
1482C2×C4—1181no—
1483C2×C4—1181no—
1484C2×C4—1181no—
1485C2×C4—1181no—
1486C2×C4—1181no—
1487C2×C4—1181no—
1488C2×C4—1181no—
1489C2×C4—1181no—
1490C2×C4—1181no—
1491C2×C4—1181no—
1492C2×C4—1181no—
1493C2×C4—4722no—
1494C2×C4—4722no—
1495C2×C4—4722no—
1496C2×C4—2364no—
1497C2×C4—2364no—
1498C2×C4—2364no—
1499C2×C4—2364no—
1500C2×C4#1427377312yes—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—1182no—
1516C22—1182no—
1517C22—1182no—
1518C22—1182no—
1519C22—1182no—
1520C22—1182no—
1521C22—23616no—
1522C22—2361no—
1523C22—2361no—
1524C22—2361no—
1525C22—2361no—
1526C22—2361no—
1527C22—2361no—
1528C22—2361no—
1529C22—2361no—
1530C22—2361no—
1531C22—2361no—
1532C22—2361no—
1533C22—2361no—
1534C22—2361no—
1535C22—2361no—
1536C22—2361no—
1537C22—2361no—
1538C22—2361no—
1539C22—2361no—
1540C22—2361no—
1541C22—2361no—
1542C22—2361no—
1543C22—2361no—
1544C22C2×#41×D5911yescharacteristic
1545C22H(5,𝔽2)×D5911yescharacteristic
1546C22H(5,𝔽2)×D5911yescharacteristic
1547C22C2×#1427377311yescharacteristic
1548C22#1683823711yescharacteristic
1549C22#1683823811yescharacteristic
1550C22#1683823911yescharacteristic
1551C4—22no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—1182no—
1565C4—1182no—
1566C4—2361no—
1567C4—2361no—
1568C4—2361no—
1569C4—2361no—
1570C4—2361no—
1571C4—2361no—
1572C4—2361no—
1573C4—2361no—
1574C4—2361no—
1575C4—2361no—
1576C2—42no—
1577C2—81no—
1578C2—4721no—
1579C2—4721no—
1580C2—2362no—
1581C2—2362no—
1582C2#2143748211yescharacteristic
1583C2#2143778011yescharacteristic
1584C2#2143782211yescharacteristic
1585C2#2143825611yescharacteristic
1586C2#2143828811yescharacteristic
1587C2#2143837211yescharacteristic
1588C2#2143841811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2740C2
hypercenter#2740D59
hypocenterC59#36735
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2740

Complements

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

NH ≅ G/Ntype
1. #21432389C2semidirect
2. #21432377C2semidirect
3. #21431294C2semidirect
4. #21431178C2semidirect
5. #21431152C2semidirect
6. #21431151C2semidirect
7. #21430936C2semidirect
8. #21430737C2semidirect
9. #21430656C2semidirect
10. #21430646C2semidirect
11. #21430607C2semidirect
12. #21430537C2semidirect
13. #21430495C2semidirect
14. #21430471C2semidirect
15. #21430426C2semidirect
16. #21430352C2semidirect
17. #21430319C2semidirect
18. #21430267C2semidirect
19. #21430223C2semidirect
20. #21429643C2semidirect
21. #21429423C2semidirect
22. #21429201C2semidirect
23. #21429198C2semidirect
24. #21428295C2semidirect
25. #21428285C2semidirect
26. #21428258C2semidirect
27. #21428200C2semidirect
28. #21426891C2semidirect
29. #21426855C2semidirect
30. #21426478C2semidirect
31. C59×#2740C2semidirect
39. C2×#14273711C22semidirect
41. C2×#14273705C22semidirect
51. #16837344C22semidirect
52. #16837343C22semidirect
53. #16837342C22semidirect
54. #16837342C22semidirect
55. #16837340C22semidirect
56. #16837335C22semidirect
60. #16837331C22semidirect
61. #16837331C22semidirect
63. #16837329C22semidirect
64. #16837329C22semidirect
66. #16837328C22semidirect
68. #16837325C22semidirect
70. #16837323C22semidirect
71. #16837322C22semidirect
72. #16837322C22semidirect
77. #16837319C22semidirect
79. #16837318C22semidirect
83. #16837315C22semidirect
84. #16837315C22semidirect
91. #16837311C22semidirect
93. #16837307C22semidirect
94. #16837306C22semidirect
97. #16837303C22semidirect
100. #16837302C22semidirect
101. #16837298C22semidirect
103. #16837295C22semidirect
104. #16837294C22semidirect
105. #16837294C22semidirect
108. #16837293C22semidirect
112. #16837292C22semidirect
113. #16837292C22semidirect
114. #16837291C22semidirect
115. #16837290C22semidirect
116. #16837288C22semidirect
117. #16837287C22semidirect
118. #16837286C22semidirect
119. #16837285C22semidirect
120. #16837285C22semidirect
121. #16837284C22semidirect
122. #16837283C22semidirect
123. #16837283C22semidirect
124. #16837283C22semidirect
134. #16837280C22semidirect
137. #16837279C22semidirect
142. #16837278C22semidirect
143. #16837278C22semidirect
148. #16837276C22semidirect
149. #16837276C22semidirect
150. #16837269C22semidirect
158. #16837260C22semidirect
164. C4×C4⋊Dic59C22semidirect
167. C22⋊C4×Dic59C22semidirect
168. C4×(C2×D59)⋊C4C22semidirect
171. #16837249C22semidirect
172. C59×#399C22semidirect
173. C59×#398C22semidirect
174. C59×#397C22semidirect
175. C59×#397C22semidirect
180. C59×#388C22semidirect
181. C59×#387C22semidirect
182. C59×#387C22semidirect
183. C59×#387C22semidirect
785. #2740D59semidirect
850. #399C2×D59semidirect
852. #398C2×D59semidirect
863. #397C2×D59semidirect
864. #397C2×D59semidirect
918. #388C2×D59semidirect
928. #387C2×D59semidirect
929. #387C2×D59semidirect
930. #387C2×D59semidirect
981. C59#36735semidirect

Maximal subgroups

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

subgroupindex
#214323892
#214323772
#214312942
#214311782
#214311522
#214311512
#214309362
#214307372
#214306562
#214306462
#214306072
#214305372
#214304952
#214304712
#214304262
#214303522
#214303192
#214302672
#214302232
#214296432
#214294232
#214292012
#214291982
#214282952
#214282852
#214282582
#214282002
#214268912
#214268552
#214264782
C59×#27402
#3673559