Finite Group Databasebeta

← #28796751

Subgroups — #28796751

Order 15104.

1650 conjugacy classes of subgroups.

The subgroup lattice has 1442 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432447C211yesmaximal, characteristic, complemented
2#21432423C211yesmaximal, characteristic, complemented
3#21432036C211yesmaximal, characteristic, complemented
4#21432010C211yesmaximal, characteristic, complemented
5#21431907C211yesmaximal, characteristic, complemented
6#21431788C211yesmaximal, characteristic, complemented
7#21431742C211yesmaximal, characteristic, complemented
8#21431302C211yesmaximal, characteristic, complemented
9#21431214C211yesmaximal, characteristic, complemented
10#21431099C211yesmaximal, characteristic, complemented
11#21431069C211yesmaximal, characteristic, complemented
12#21431015C211yesmaximal, characteristic, complemented
13#21430949C211yesmaximal, characteristic, complemented
14#21430927C211yesmaximal, characteristic, complemented
15#21430733C211yesmaximal, characteristic
16#21430648C211yesmaximal, characteristic, complemented
17#21430583C211yesmaximal, characteristic, complemented
18#21430377C211yesmaximal, characteristic, complemented
19#21429941C211yesmaximal, characteristic, complemented
20#21429939C211yesmaximal, characteristic, complemented
21#21429544C211yesmaximal, characteristic, complemented
22#21429534C211yesmaximal, characteristic, complemented
23#21429240C211yesmaximal, characteristic, complemented
24#21429194C211yesmaximal, characteristic, complemented
25#21428935C211yesmaximal, characteristic, complemented
26#21428918C211yesmaximal, characteristic, complemented
27#21428321C211yesmaximal, characteristic, complemented
28#21426892C211yesmaximal, characteristic, complemented
29#21426888C211yesmaximal, characteristic, complemented
30#21426533C211yesmaximal, characteristic, complemented
31C59×#2470C211yesmaximal, characteristic, complemented
32C2×#14273726C2211yescharacteristic
33C2×#14273722C2211yescharacteristic
34C2×#14273721C2211yescharacteristic
35C2×#14273714C2211yescharacteristic
36C2×#14273712C2211yescharacteristic
37C2×#14273709C2211yescharacteristic
38C2×#14273709C2211yescharacteristic
39C2×#14273706C2211yescharacteristic
40C2×#14273705C2211yescharacteristic
41C2×#14273705C2211yescharacteristic
42C2×#14273700C2211yescharacteristic
43C2×C4×C22⋊D59C2211yescharacteristic
44C2×C42×D59C2211yescharacteristic
45#16837344C2211yescharacteristic
46#16837343C2211yescharacteristic
47#16837342C2211yescharacteristic
48#16837341C2211yescharacteristic
49#16837341C2211yescharacteristic
50#16837340C2211yescharacteristic
51#16837338C2211yescharacteristic
52#16837338C2211yescharacteristic
53#16837337C2211yescharacteristic
54#16837336C2211yescharacteristic
55#16837336C2211yescharacteristic
56#16837336C2211yescharacteristic
57#16837334C2211yescharacteristic
58#16837333C2211yescharacteristic
59#16837333C2211yescharacteristic
60#16837333C2211yescharacteristic
61#16837331C2211yescharacteristic
62#16837330C2211yescharacteristic
63#16837330C2211yescharacteristic
64#16837330C2211yescharacteristic
65#16837329C2211yescharacteristic
66#16837328C2211yescharacteristic
67#16837328C2211yescharacteristic
68#16837327C2211yescharacteristic
69#16837326C2211yescharacteristic
70#16837325C2211yescharacteristic
71#16837325C2211yescharacteristic
72#16837325C2211yescharacteristic
73#16837325C2211yescharacteristic
74#16837322C2211yescharacteristic
75#16837319C2211yescharacteristic
76#16837318C2211yescharacteristic
77#16837318C2211yescharacteristic
78#16837317C2211yescharacteristic
79#16837317C2211yescharacteristic
80#16837317C2211yescharacteristic
81#16837317C2211yescharacteristic
82#16837316C2211yescharacteristic
83#16837315C2211yescharacteristic
84#16837315C2211yescharacteristic
85#16837314C2211yescharacteristic
86#16837311C2211yescharacteristic
87#16837310C2211yescharacteristic
88#16837310C2211yescharacteristic
89#16837306C2211yescharacteristic
90#16837306C2211yescharacteristic
91#16837306C2211yescharacteristic
92#16837306C2211yescharacteristic
93#16837303C2211yescharacteristic
94#16837302C2211yescharacteristic
95#16837302C2211yescharacteristic
96#16837302C2211yescharacteristic
97#16837302C2211yescharacteristic
98#16837300C2211yescharacteristic
99#16837300C2211yescharacteristic
100#16837299C2211yescharacteristic
101#16837297C2211yescharacteristic
102#16837297C2211yescharacteristic
103#16837297C2211yescharacteristic
104#16837297C2211yescharacteristic
105#16837296C2211yescharacteristic
106#16837296C2211yescharacteristic
107#16837295C2211yescharacteristic
108#16837295C2211yescharacteristic
109#16837294C2211yescharacteristic
110#16837294C2211yescharacteristic
111#16837294C2211yescharacteristic
112#16837294C2211yescharacteristic
113#16837293C2211yescharacteristic
114#16837293C2211yescharacteristic
115#16837293C2211yescharacteristic
116#16837291C2211yescharacteristic
117#16837291C2211yescharacteristic
118#16837290C2211yescharacteristic
119#16837290C2211yescharacteristic
120#16837290C2211yescharacteristic
121#16837290C2211yescharacteristic
122#16837290C2211yescharacteristic
123#16837290C2211yescharacteristic
124#16837290C2211yescharacteristic
125#16837289C2211yescharacteristic
126#16837289C2211yescharacteristic
127#16837288C2211yescharacteristic
128#16837288C2211yescharacteristic
129#16837287C2211yescharacteristic
130#16837287C2211yescharacteristic
131#16837286C2211yescharacteristic
132#16837285C2211yescharacteristic
133#16837284C2211yescharacteristic
134#16837284C2211yescharacteristic
135#16837284C2211yescharacteristic
136#16837284C2211yescharacteristic
137#16837283C2211yescharacteristic
138#16837283C2211yescharacteristic
139#16837283C2211yescharacteristic
140#16837283C2211yescharacteristic
141#16837283C2211yescharacteristic
142#16837281C2211yescharacteristic
143#16837281C2211yescharacteristic
144#16837281C2211yescharacteristic
145#16837280C2211yescharacteristic
146#16837280C2211yescharacteristic
147#16837278C2211yescharacteristic
148#16837278C2211yescharacteristic
149#16837278C2211yescharacteristic
150#16837278C2211yescharacteristic
151#16837276C2211yescharacteristic
152#16837275C2211yescharacteristic
153#16837275C2211yescharacteristic
154#16837273C2211yescharacteristic
155#16837273C2211yescharacteristic
156#16837273C2211yescharacteristic
157#16837271C2211yescharacteristic
158#16837266C2211yescharacteristic
159#16837261C2211yescharacteristic
160#16837261C2211yescharacteristic
161#16837261C2211yescharacteristic
162#16837259C2211yescharacteristic
163#16837259C2211yescharacteristic
164#16837259C2211yescharacteristic
165C4⋊C4×Dic59C2211yescharacteristic
166C4×Dic59⋊C4C2211yescharacteristic
167C4×Dic59⋊C4C2211yescharacteristic
168C4×(C2×D59)⋊C4C2211yescharacteristic
169C4×C22⋊Dic59C2211yescharacteristic
170#16837249C2211yescharacteristic
171#16837248C2211yescharacteristic
172C2×#123×C59C2211yescharacteristic
173C2×#117×C59C2211yescharacteristic
174C59×#400C2211yescharacteristic
175C59×#397C2211yescharacteristic
176C59×#396C2211yescharacteristic
177C59×#394C2211yescharacteristic
178C59×#389C2211yescharacteristic
179C59×#389C2211yescharacteristic
180C59×#388C2211yescharacteristic
181C59×#388C2211yescharacteristic
182C59×#387C2211yescharacteristic
183C59×#386C2211yescharacteristic
184C59×#385C2211yescharacteristic
185C59×#385C2211yescharacteristic
186C4×C22⋊C4×C59C2211yescharacteristic
187C22×Dic118C2311yescharacteristic
188C22×Dic118C2311yescharacteristic
189C22×D236C2311yescharacteristic
190C22×C22⋊D59C2311yescharacteristic
191C22×C22⋊D59C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C4×D59C2311yescharacteristic
195C22×C4×D59C2311yescharacteristic
196C22×C4×D59C2311yescharacteristic
197C22×C4×D59C2311yescharacteristic
198#14273726—42no—
199#14273722—42no—
200#14273721—42no—
201#14273714—42no—
202#14273712—24no—
203#14273709—24no—
204#14273709—42no—
205#14273706—42no—
206#14273705—42no—
207#14273705—42no—
208#14273700—42no—
209C4×C22⋊D59—24no—
210C2×C4⋊Dic59C2311yescharacteristic
211C2×C4⋊Dic59C2311yescharacteristic
212C2×C4⋊Dic59C2311yescharacteristic
213C2×C4⋊Dic59C2311yescharacteristic
214C2×C4⋊Dic59C2311yescharacteristic
215C2×C4⋊Dic59C2311yescharacteristic
216C2×C4⋊Dic59C2311yescharacteristic
217C2×Dic59⋊C4C2311yescharacteristic
218C2×Dic59⋊C4C2311yescharacteristic
219C2×Dic59⋊C4C2311yescharacteristic
220C2×Dic59⋊C4C2311yescharacteristic
221C2×Dic59⋊C4C2311yescharacteristic
222C2×Dic59⋊C4C2311yescharacteristic
223C2×Dic59⋊C4C2311yescharacteristic
224C2×Dic59⋊C4C2311yescharacteristic
225C2×Dic59⋊C4C2311yescharacteristic
226C2×Dic59⋊C4C2311yescharacteristic
227C2×Dic59⋊C4C2311yescharacteristic
228C2×Dic59⋊C4C2311yescharacteristic
229C2×Dic59⋊C4C2311yescharacteristic
230C2×Dic59⋊C4C2311yescharacteristic
231C2×Dic59⋊C4C2311yescharacteristic
232C2×Dic59⋊C4C2311yescharacteristic
233C2×Dic59⋊C4C2311yescharacteristic
234C2×Dic59⋊C4C2311yescharacteristic
235C2×Dic59⋊C4C2311yescharacteristic
236C2×Dic59⋊C4C2311yescharacteristic
237C2×Dic59⋊C4C2311yescharacteristic
238C2×Dic59⋊C4C2311yescharacteristic
239C2×C22⋊Dic59C2311yescharacteristic
240C2×C22⋊Dic59C2311yescharacteristic
241C2×C22⋊Dic59C2311yescharacteristic
242C2×C22⋊Dic59C2311yescharacteristic
243C2×C22⋊Dic59C2311yescharacteristic
244C2×C22⋊Dic59C2311yescharacteristic
245C2×C22⋊Dic59C2311yescharacteristic
246C2×C22⋊Dic59C2311yescharacteristic
247C2×C22⋊Dic59C2311yescharacteristic
248C2×C22⋊Dic59C2311yescharacteristic
249C2×C22⋊Dic59C2311yescharacteristic
250C2×C22⋊Dic59C2311yescharacteristic
251C2×(C2×D59)⋊C4C2311yescharacteristic
252C2×(C2×D59)⋊C4C2311yescharacteristic
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×C4×Dic59C2311yescharacteristic
272C2×C4×Dic59C2311yescharacteristic
273C2×C4×Dic59C2311yescharacteristic
274C2×C4×Dic59C2311yescharacteristic
275C2×C4×Dic59C2311yescharacteristic
276C2×C4×Dic59C2311yescharacteristic
277C2×C4×Dic59C2311yescharacteristic
278C2×C4×Dic59C2311yescharacteristic
279C2×C4×Dic59C2311yescharacteristic
280C2×C4×Dic59C2311yescharacteristic
281C42×D59—42no—
282C59⋊#95C2311yescharacteristic
283C59⋊#95C2311yescharacteristic
284C59⋊#95C2311yescharacteristic
285C59⋊#95C2311yescharacteristic
286C59⋊#95C2311yescharacteristic
287C59⋊#95C2311yescharacteristic
288C59⋊#95C2311yescharacteristic
289C59⋊#95C2311yescharacteristic
290C59⋊#95C2311yescharacteristic
291C59⋊#95C2311yescharacteristic
292C59⋊#95C2311yescharacteristic
293C59⋊#95C2311yescharacteristic
294C59⋊#95C2311yescharacteristic
295C59⋊#95C2311yescharacteristic
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
320C22×D4×C59C2311yescharacteristic
321C23×C4×C59C2311yescharacteristic
322C23×C4×C59C2311yescharacteristic
323#123×C59—42no—
324#117×C59—42no—
325C2×C4⋊C4×C59C2311yescharacteristic
326C2×C4⋊C4×C59C2311yescharacteristic
327C2×C4⋊C4×C59C2311yescharacteristic
328C2×C4⋊C4×C59C2311yescharacteristic
329C2×C4⋊C4×C59C2311yescharacteristic
330C2×C4⋊C4×C59C2311yescharacteristic
331C2×C4⋊C4×C59C2311yescharacteristic
332C2×C4⋊C4×C59C2311yescharacteristic
333C2×C4⋊C4×C59C2311yescharacteristic
334C2×C22⋊C4×C59C2311yescharacteristic
335C2×C22⋊C4×C59C2311yescharacteristic
336C2×C22⋊C4×C59C2311yescharacteristic
337C2×C22⋊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×C42×C59C2311yescharacteristic
345C2×C42×C59C2311yescharacteristic
346C2×C42×C59C2311yescharacteristic
347#95×C59C2311yescharacteristic
348#95×C59C2311yescharacteristic
349#95×C59C2311yescharacteristic
350#95×C59C2311yescharacteristic
351#95×C59C2311yescharacteristic
352#95×C59C2311yescharacteristic
353#95×C59C2311yescharacteristic
354#95×C59C2311yescharacteristic
355#95×C59C2311yescharacteristic
356#95×C59C2311yescharacteristic
357C24×C59C2411yescharacteristic
358C24×C59C2411yescharacteristic
359C23×D59C2411yescharacteristic
360C23×D59C2411yescharacteristic
361C2×D4×C59—41no—
362C2×D4×C59—41no—
363C2×D4×C59—41no—
364C22×C4×C59—22no—
365C22×C4×C59—41no—
366C22×C4×C59—41no—
367C22×C4×C59—41no—
368C22×C4×C59—41no—
369C22×C4×C59—41no—
370C22×C4×C59C2411yescharacteristic
371C22×C4×C59C2411yescharacteristic
372C22×C4×C59C2411yescharacteristic
373C22×C4×C59C2411yescharacteristic
374C22×C4×C59C2411yescharacteristic
375C22×C4×C59C2411yescharacteristic
376C22×C4×C59C2411yescharacteristic
377C22×C4×C59C2411yescharacteristic
378C22×C4×C59C2411yescharacteristic
379C22×C4×C59C2411yescharacteristic
380C22×C4×C59C2411yescharacteristic
381C22×C4×C59C2411yescharacteristic
382C22×C4×C59C2411yescharacteristic
383C2×C22⋊D59—22no—
384C2×C22⋊D59—22no—
385C2×C22⋊D59—22no—
386C2×C22⋊D59—41no—
387C2×C22⋊D59—41no—
388C2×C22⋊D59—41no—
389C2×C22⋊D59—41no—
390C2×C22⋊D59—41no—
391C2×C22⋊D59—41no—
392C2×C22⋊D59—41no—
393C2×C22⋊D59—41no—
394C2×C22⋊D59—41no—
395C22×Dic59C2411yescharacteristic
396C22×Dic59C2411yescharacteristic
397C22×Dic59C2411yescharacteristic
398C22×Dic59C2411yescharacteristic
399C22×Dic59C2411yescharacteristic
400C22×Dic59C2411yescharacteristic
401C22×Dic59C2411yescharacteristic
402C22×Dic59C2411yescharacteristic
403C22×Dic59C2411yescharacteristic
404C22×Dic59C2411yescharacteristic
405C22×Dic59C2411yescharacteristic
406C22×Dic59C2411yescharacteristic
407C22×Dic59C2411yescharacteristic
408C22×Dic59C2411yescharacteristic
409C2×D236—22no—
410C2×D236—41no—
411C2×D236—41no—
412C2×C4×D59—22no—
413C2×C4×D59—22no—
414C2×C4×D59—22no—
415C2×C4×D59—41no—
416C2×C4×D59—41no—
417C2×C4×D59—41no—
418C2×C4×D59—41no—
419C2×C4×D59—41no—
420C2×C4×D59—41no—
421C2×C4×D59—41no—
422C2×C4×D59—41no—
423C2×C4×D59#4114yes—
424C2×Dic118—22no—
425C2×Dic118—22no—
426C2×Dic118—41no—
427C2×Dic118—41no—
428C2×Dic118—41no—
429C2×Dic118—41no—
430C4⋊C4×C59—22no—
431C4⋊C4×C59—22no—
432C4⋊C4×C59—22no—
433C4⋊C4×C59—41no—
434C4⋊C4×C59—41no—
435C4⋊C4×C59—41no—
436C4⋊C4×C59—41no—
437C4⋊C4×C59—41no—
438C4⋊C4×C59—41no—
439C22⋊C4×C59—22no—
440C22⋊C4×C59—22no—
441C22⋊C4×C59—22no—
442C22⋊C4×C59—41no—
443C22⋊C4×C59—41no—
444C22⋊C4×C59—41no—
445C22⋊C4×C59—41no—
446C22⋊C4×C59—41no—
447C22⋊C4×C59—41no—
448C22⋊C4×C59—41no—
449C42×C59—22no—
450C42×C59—41no—
451C42×C59—41no—
452C22⋊Dic59—22no—
453C22⋊Dic59—22no—
454C22⋊Dic59—22no—
455C22⋊Dic59—22no—
456C22⋊Dic59—22no—
457C22⋊Dic59—41no—
458C22⋊Dic59—41no—
459C22⋊Dic59—41no—
460C22⋊Dic59—41no—
461C22⋊Dic59—41no—
462C22⋊Dic59—41no—
463C22⋊Dic59—41no—
464(C2×D59)⋊C4—22no—
465(C2×D59)⋊C4—22no—
466(C2×D59)⋊C4—22no—
467(C2×D59)⋊C4—22no—
468(C2×D59)⋊C4—22no—
469(C2×D59)⋊C4—22no—
470(C2×D59)⋊C4—22no—
471(C2×D59)⋊C4—41no—
472(C2×D59)⋊C4—41no—
473(C2×D59)⋊C4—41no—
474(C2×D59)⋊C4—41no—
475(C2×D59)⋊C4—41no—
476(C2×D59)⋊C4—41no—
477(C2×D59)⋊C4—41no—
478(C2×D59)⋊C4—41no—
479(C2×D59)⋊C4—41no—
480(C2×D59)⋊C4—41no—
481(C2×D59)⋊C4—41no—
482(C2×D59)⋊C4—41no—
483(C2×D59)⋊C4—41no—
484C4⋊Dic59—22no—
485C4⋊Dic59—22no—
486C4⋊Dic59—41no—
487C4⋊Dic59—41no—
488C4⋊Dic59—41no—
489C4⋊Dic59—41no—
490C4⋊Dic59—41no—
491Dic59⋊C4—22no—
492Dic59⋊C4—22no—
493Dic59⋊C4—22no—
494Dic59⋊C4—22no—
495Dic59⋊C4—22no—
496Dic59⋊C4—22no—
497Dic59⋊C4—22no—
498Dic59⋊C4—22no—
499Dic59⋊C4—41no—
500Dic59⋊C4—41no—
501Dic59⋊C4—41no—
502Dic59⋊C4—41no—
503Dic59⋊C4—41no—
504Dic59⋊C4—41no—
505Dic59⋊C4—41no—
506Dic59⋊C4—41no—
507Dic59⋊C4—41no—
508Dic59⋊C4—41no—
509Dic59⋊C4—41no—
510Dic59⋊C4—41no—
511Dic59⋊C4—41no—
512Dic59⋊C4—41no—
513C4×Dic59—22no—
514C4×Dic59—22no—
515C4×Dic59—41no—
516C4×Dic59—41no—
517C4×Dic59—41no—
518C4×Dic59—41no—
519C4×Dic59—41no—
520C4×Dic59—41no—
521C4×Dic59—41no—
522C4×Dic59—41no—
523C23×C59—21no—
524C23×C59—21no—
525C23×C59—21no—
526C23×C59—21no—
527C23×C59—21no—
528C23×C59—21no—
529C23×C59—21no—
530C23×C59—21no—
531C23×C59—21no—
532C23×C59—21no—
533C23×C59—21no—
534C23×C59—21no—
535C23×C59—21no—
536C23×C59—21no—
537C23×C59C2511yescharacteristic
538C22×D59—21no—
539C22×D59—21no—
540C22×D59—21no—
541C22×D59—21no—
542C22×D59—21no—
543C22×D59—21no—
544C22×D59—21no—
545C22×D59—21no—
546C22×D59—21no—
547C22×D59—21no—
548C22×D59—21no—
549C22×D59—21no—
550C22×D59—21no—
551C22×D59C2×#4112yes—
552D4×C59—82no—
553C2×C4×C59—21no—
554C2×C4×C59—21no—
555C2×C4×C59—21no—
556C2×C4×C59—21no—
557C2×C4×C59—21no—
558C2×C4×C59—21no—
559C2×C4×C59—21no—
560C2×C4×C59—21no—
561C2×C4×C59—21no—
562C2×C4×C59—21no—
563C2×C4×C59—21no—
564C2×C4×C59—21no—
565C2×C4×C59—21no—
566C2×C4×C59—21no—
567C2×C4×C59—21no—
568C2×C4×C59—21no—
569C2×C4×C59—21no—
570C2×C4×C59—21no—
571C2×C4×C59—21no—
572C2×C4×C59—21no—
573C2×C4×C59—21no—
574C2×C4×C59—21no—
575C2×C4×C59—21no—
576C2×C4×C59—21no—
577C2×C4×C59—21no—
578C2×C4×C59—21no—
579C2×C4×C59—21no—
580C2×C4×C59—21no—
581C2×C4×C59—21no—
582C2×C4×C59—21no—
583C2×C4×C59—21no—
584C2×C4×C59—21no—
585C2×C4×C59—21no—
586C2×C4×C59—21no—
587C2×C4×C59—21no—
588C2×C4×C59—21no—
589C2×C4×C59—21no—
590C2×C4×C59—44no—
591C2×C4×C59—82no—
592C2×C4×C59C2×#4112yes—
593C2×C4×C59H(5,𝔽2)12yes—
594C22⋊D59—44no—
595C22⋊D59—82no—
596C22⋊D59—82no—
597C22⋊D59—82no—
598C2×Dic59—21no—
599C2×Dic59—21no—
600C2×Dic59—21no—
601C2×Dic59—21no—
602C2×Dic59—21no—
603C2×Dic59—21no—
604C2×Dic59—21no—
605C2×Dic59—21no—
606C2×Dic59—21no—
607C2×Dic59—21no—
608C2×Dic59—21no—
609C2×Dic59—21no—
610C2×Dic59—21no—
611C2×Dic59—21no—
612C2×Dic59—21no—
613C2×Dic59—21no—
614C2×Dic59—21no—
615C2×Dic59—21no—
616C2×Dic59—21no—
617C2×Dic59—21no—
618C2×Dic59—21no—
619C2×Dic59—21no—
620C2×Dic59—21no—
621C2×Dic59—21no—
622C2×Dic59—21no—
623C2×Dic59—21no—
624C2×Dic59—21no—
625C2×Dic59—21no—
626C2×Dic59—21no—
627C2×Dic59—21no—
628C2×Dic59—21no—
629C2×Dic59—21no—
630C2×Dic59—21no—
631C2×Dic59—21no—
632C2×Dic59—21no—
633C2×Dic59—21no—
634C2×Dic59—21no—
635C2×Dic59—21no—
636C2×Dic59—21no—
637C2×Dic59C2×#4112yes—
638C2×Dic59H(5,𝔽2)12yes—
639C2×Dic592−1+412yes—
640D236—82no—
641C4×D59—44no—
642C4×D59—44no—
643C4×D59—44no—
644C4×D59—82no—
645Dic118—82no—
646Dic118—82no—
647#36767—591nomaximal, Sylow
648C22×C59—41no—
649C22×C59—41no—
650C22×C59—41no—
651C22×C59—41no—
652C22×C59—41no—
653C22×C59—41no—
654C22×C59—41no—
655C22×C59—41no—
656C22×C59—41no—
657C22×C59—41no—
658C22×C59—41no—
659C22×C59—41no—
660C22×C59—41no—
661C22×C59—41no—
662C22×C59C22×#4111yescharacteristic
663C22×C59C2×H(5,𝔽2)11yescharacteristic
664C22×C59C2×H(5,𝔽2)11yescharacteristic
665C22×C59C2×2−1+411yescharacteristic
666C22×C59#58511yescharacteristic
667C22×C59#58511yescharacteristic
668C22×C59#58511yescharacteristic
669C2×D59—22no—
670C2×D59—22no—
671C2×D59—22no—
672C2×D59—41no—
673C2×D59—41no—
674C2×D59—41no—
675C2×D59—41no—
676C2×D59—41no—
677C2×D59—41no—
678C2×D59—41no—
679C2×D59—41no—
680C2×D59—41no—
681C2×D59—41no—
682C2×D59—41no—
683C4×C59—22no—
684C4×C59—22no—
685C4×C59—41no—
686C4×C59—41no—
687C4×C59—41no—
688C4×C59—41no—
689C4×C59—41no—
690C4×C59—41no—
691C4×C59—41no—
692C4×C59—41no—
693C4×C59—41no—
694C4×C59—41no—
695C4×C59—41no—
696Dic59—22no—
697Dic59—22no—
698Dic59—22no—
699Dic59—41no—
700Dic59—41no—
701Dic59—41no—
702Dic59—41no—
703Dic59—41no—
704Dic59—41no—
705Dic59—41no—
706Dic59—41no—
707Dic59—41no—
708Dic59—41no—
709Dic59—41no—
710#2857—591no—
711#2854—591no—
712#2803—591no—
713#2802—591no—
714#2793—591no—
715#2783—591no—
716#2780—591no—
717#2747—591no—
718#2741—591no—
719#2730—591no—
720#2728—591no—
721#2723—591no—
722#2718—591no—
723#2716—591no—
724#2703—591no—
725#2696—591no—
726#2691—591no—
727#2674—591no—
728#2630—591no—
729#2630—591no—
730#2589—591no—
731#2588—591no—
732#2560—591no—
733#2557—591no—
734#2530—591no—
735#2529—591no—
736#2479—591no—
737#2470D5911yescharacteristic, complemented
738#2335—591no—
739#2335—591no—
740#2290—591no—
741C2×C59—81no—
742C2×C59—81no—
743C2×C59#345511yescharacteristic
744C2×C59#350511yescharacteristic
745C2×C59#351111yescharacteristic
746C2×C59#353511yescharacteristic
747C2×C59#354211yescharacteristic
748C2×C59#355711yescharacteristic
749C2×C59#356211yescharacteristic
750D59—42no—
751D59—81no—
752C2×C4⋊Q8—591no—
753C2×#126—591no—
754C2×#126—591no—
755C2×#124—591no—
756C2×#123—591no—
757C2×#123—591no—
758C2×#123—591no—
759C2×#123C2×D5911yescharacteristic
760C2×C22⋊Q8—591no—
761C2×C22⋊Q8—591no—
762C2×C22⋊Q8—591no—
763C2×#121—591no—
764C2×C4×D4—591no—
765C2×#117C2×D5911yescharacteristic
766C22×C42—591no—
767#400—591no—
768#400—591no—
769#400—591no—
770#400—591no—
771#400—591no—
772#400—591no—
773#400C2×D5911yescharacteristic
774#399—591no—
775#399—591no—
776#399—591no—
777#398—591no—
778#398—591no—
779#398—591no—
780#398—591no—
781#398—591no—
782#398—591no—
783#398—591no—
784#397—591no—
785#397—591no—
786#397—591no—
787#397—591no—
788#397—591no—
789#397—591no—
790#397—591no—
791#397—591no—
792#397C2×D5911yescharacteristic
793#396—591no—
794#396—591no—
795#396—591no—
796#396—591no—
797#396—591no—
798#396C2×D5911yescharacteristic
799#395—591no—
800#394—591no—
801#394—591no—
802#394—591no—
803#394—591no—
804#394—591no—
805#394—591no—
806#394—591no—
807#394—591no—
808#394C2×D5911yescharacteristic
809#393—591no—
810#393—591no—
811#393—591no—
812#392—591no—
813#392—591no—
814#392—591no—
815#391—591no—
816#391—591no—
817#391—591no—
818#391—591no—
819#390—591no—
820#390—591no—
821#390—591no—
822#390—591no—
823#390—591no—
824#389—591no—
825#389—591no—
826#389—591no—
827#389—591no—
828#389—591no—
829#389—591no—
830#389—591no—
831#389C2×D5911yescharacteristic
832#389C2×D5911yescharacteristic
833#388—591no—
834#388—591no—
835#388—591no—
836#388—591no—
837#388—591no—
838#388—591no—
839#388—591no—
840#388—591no—
841#388—591no—
842#388—591no—
843#388—591no—
844#388—591no—
845#388—591no—
846#388—591no—
847#388—591no—
848#388—591no—
849#388—591no—
850#388—591no—
851#388—591no—
852#388—591no—
853#388C2×D5911yescharacteristic
854#388C2×D5911yescharacteristic
855#387—591no—
856#387—591no—
857#387—591no—
858#387—591no—
859#387—591no—
860#387—591no—
861#387—591no—
862#387—591no—
863#387—591no—
864#387—591no—
865#387—591no—
866#387—591no—
867#387—591no—
868#387—591no—
869#387—591no—
870#387—591no—
871#387—591no—
872#387C2×D5911yescharacteristic
873#386—591no—
874#386—591no—
875#386—591no—
876#386—591no—
877#386—591no—
878#386—591no—
879#386—591no—
880#386—591no—
881#386—591no—
882#386C2×D5911yescharacteristic
883#385—591no—
884#385—591no—
885#385—591no—
886#385—591no—
887#385—591no—
888#385—591no—
889#385C2×D5911yescharacteristic
890#385C2×D5911yescharacteristic
891#384—591no—
892#382—591no—
893#380—591no—
894#380—591no—
895#380—591no—
896#380—591no—
897#380—591no—
898#380—591no—
899C4×C4⋊C4—591no—
900C4×C4⋊C4—591no—
901C4×C4⋊C4—591no—
902C4×C22⋊C4—591no—
903C4×C22⋊C4—591no—
904C4×C22⋊C4—591no—
905C4×C22⋊C4C2×D5911yescharacteristic
906#376—591no—
907C59#3676711yescharacteristic, complemented, Sylow
908C22×Q8—591no—
909C22×Q8—591no—
910C22×D4—591no—
911C22×D4—591no—
912C22×D4—591no—
913C22×D4—591no—
914C22×D4—591no—
915C22×D4C22×D5911yescharacteristic
916C23×C4—591no—
917C23×C4—591no—
918C23×C4—591no—
919C23×C4—591no—
920C23×C4C22×D5911yescharacteristic
921C23×C4C22×D5911yescharacteristic
922C4⋊Q8—2362no—
923#126—2362no—
924#126—2362no—
925#124—2362no—
926#123—42no—
927#123—1184no—
928#123—1184no—
929#123—2362no—
930C22⋊Q8—2362no—
931C22⋊Q8—2362no—
932C22⋊Q8—2362no—
933#121—2362no—
934C4×D4—1184no—
935#117—42no—
936C2×C4⋊C4—591no—
937C2×C4⋊C4—591no—
938C2×C4⋊C4—591no—
939C2×C4⋊C4—591no—
940C2×C4⋊C4—591no—
941C2×C4⋊C4—591no—
942C2×C4⋊C4—591no—
943C2×C4⋊C4—591no—
944C2×C4⋊C4—591no—
945C2×C4⋊C4—591no—
946C2×C4⋊C4—591no—
947C2×C4⋊C4—591no—
948C2×C4⋊C4—591no—
949C2×C4⋊C4—591no—
950C2×C4⋊C4—591no—
951C2×C4⋊C4—591no—
952C2×C4⋊C4—591no—
953C2×C4⋊C4—591no—
954C2×C4⋊C4—591no—
955C2×C4⋊C4—591no—
956C2×C4⋊C4—591no—
957C2×C4⋊C4—591no—
958C2×C4⋊C4—591no—
959C2×C4⋊C4—591no—
960C2×C4⋊C4—591no—
961C2×C4⋊C4—591no—
962C2×C4⋊C4—591no—
963C2×C4⋊C4—591no—
964C2×C4⋊C4—591no—
965C2×C4⋊C4C22×D5911yescharacteristic
966C2×C4⋊C4C22×D5911yescharacteristic
967C2×C4⋊C4C22×D5911yescharacteristic
968C2×C4⋊C4C22×D5911yescharacteristic
969C2×C4⋊C4C22×D5911yescharacteristic
970C2×C4⋊C4C22×D5911yescharacteristic
971C2×C4⋊C4C22×D5911yescharacteristic
972C2×C4⋊C4C22×D5911yescharacteristic
973C2×C4⋊C4C22×D5911yescharacteristic
974C2×C22⋊C4—591no—
975C2×C22⋊C4—591no—
976C2×C22⋊C4—591no—
977C2×C22⋊C4—591no—
978C2×C22⋊C4—591no—
979C2×C22⋊C4—591no—
980C2×C22⋊C4—591no—
981C2×C22⋊C4—591no—
982C2×C22⋊C4—591no—
983C2×C22⋊C4—591no—
984C2×C22⋊C4—591no—
985C2×C22⋊C4—591no—
986C2×C22⋊C4—591no—
987C2×C22⋊C4—591no—
988C2×C22⋊C4—591no—
989C2×C22⋊C4—591no—
990C2×C22⋊C4—591no—
991C2×C22⋊C4—591no—
992C2×C22⋊C4—591no—
993C2×C22⋊C4—591no—
994C2×C22⋊C4—591no—
995C2×C22⋊C4—591no—
996C2×C22⋊C4—591no—
997C2×C22⋊C4—591no—
998C2×C22⋊C4—591no—
999C2×C22⋊C4—591no—
1000C2×C22⋊C4—591no—
1001C2×C22⋊C4—591no—
1002C2×C22⋊C4—591no—
1003C2×C22⋊C4—591no—
1004C2×C22⋊C4—591no—
1005C2×C22⋊C4—591no—
1006C2×C22⋊C4C22×D5911yescharacteristic
1007C2×C22⋊C4C22×D5911yescharacteristic
1008C2×C22⋊C4C22×D5911yescharacteristic
1009C2×C22⋊C4C22×D5911yescharacteristic
1010C2×C22⋊C4C22×D5911yescharacteristic
1011C2×C22⋊C4C22×D5911yescharacteristic
1012C2×C22⋊C4C22×D5911yescharacteristic
1013C2×C22⋊C4C22×D5911yescharacteristic
1014C2×C22⋊C4C22×D5911yescharacteristic
1015C2×C22⋊C4C22×D5911yescharacteristic
1016C2×C42—591no—
1017C2×C42—591no—
1018C2×C42—591no—
1019C2×C42—591no—
1020C2×C42—591no—
1021C2×C42—591no—
1022C2×C42—591no—
1023C2×C42—591no—
1024C2×C42—591no—
1025C2×C42—591no—
1026C2×C42—2362no—
1027C2×C42C22×D5911yescharacteristic
1028C2×C42C22×D5911yescharacteristic
1029C2×C42C22×D5911yescharacteristic
1030#95—591no—
1031#95—591no—
1032#95—591no—
1033#95—591no—
1034#95—591no—
1035#95—591no—
1036#95—591no—
1037#95—591no—
1038#95—591no—
1039#95—591no—
1040#95—591no—
1041#95—591no—
1042#95—591no—
1043#95—591no—
1044#95—591no—
1045#95—591no—
1046#95—591no—
1047#95—591no—
1048#95—591no—
1049#95—591no—
1050#95—591no—
1051#95—591no—
1052#95—591no—
1053#95—591no—
1054#95—591no—
1055#95—591no—
1056#95—591no—
1057#95—591no—
1058#95—591no—
1059#95—591no—
1060#95—591no—
1061#95—591no—
1062#95—591no—
1063#95—591no—
1064#95—591no—
1065#95—591no—
1066#95—591no—
1067#95—591no—
1068#95C22×D5911yescharacteristic
1069#95C22×D5911yescharacteristic
1070#95C22×D5911yescharacteristic
1071#95C22×D5911yescharacteristic
1072#95C22×D5911yescharacteristic
1073#95C22×D5911yescharacteristic
1074#95C22×D5911yescharacteristic
1075#95C22×D5911yescharacteristic
1076#95C22×D5911yescharacteristic
1077#95C22×D5911yescharacteristic
1078C24—591no—
1079C24—591no—
1080C24C23×D5911yescharacteristic
1081C24C23×D5911yescharacteristic
1082C2×Q8—1182no—
1083C2×Q8—1182no—
1084C2×Q8—2361no—
1085C2×Q8—2361no—
1086C2×Q8—2361no—
1087C2×Q8—2361no—
1088C2×D4—41no—
1089C2×D4—41no—
1090C2×D4—41no—
1091C2×D4—1182no—
1092C2×D4—1182no—
1093C2×D4—1182no—
1094C2×D4—1182no—
1095C2×D4—2361no—
1096C2×D4—2361no—
1097C2×D4—2361no—
1098C2×D4—2361no—
1099C2×D4—2361no—
1100C2×D4—2361no—
1101C2×D4—2361no—
1102C2×D4—2361no—
1103C2×D4—2361no—
1104C2×D4—2361no—
1105C2×D4—2361no—
1106C22×C4—22no—
1107C22×C4—41no—
1108C22×C4—41no—
1109C22×C4—41no—
1110C22×C4—41no—
1111C22×C4—41no—
1112C22×C4—591no—
1113C22×C4—591no—
1114C22×C4—591no—
1115C22×C4—594no—
1116C22×C4—591no—
1117C22×C4—591no—
1118C22×C4—591no—
1119C22×C4—591no—
1120C22×C4—591no—
1121C22×C4—591no—
1122C22×C4—591no—
1123C22×C4—591no—
1124C22×C4—591no—
1125C22×C4—591no—
1126C22×C4—591no—
1127C22×C4—1182no—
1128C22×C4—1182no—
1129C22×C4—1182no—
1130C22×C4—2361no—
1131C22×C4—2361no—
1132C22×C4—2361no—
1133C22×C4—2361no—
1134C22×C4—2361no—
1135C22×C4—2361no—
1136C22×C4—2361no—
1137C22×C4—2361no—
1138C22×C4C23×D5911yescharacteristic
1139C22×C4C23×D5911yescharacteristic
1140C22×C4C23×D5911yescharacteristic
1141C22×C4C23×D5911yescharacteristic
1142C22×C4C23×D5911yescharacteristic
1143C22×C4C23×D5911yescharacteristic
1144C22×C4C23×D5911yescharacteristic
1145C22×C4C23×D5911yescharacteristic
1146C22×C4C23×D5911yescharacteristic
1147C22×C4C23×D5911yescharacteristic
1148C22×C4C23×D5911yescharacteristic
1149C22×C4C23×D5911yescharacteristic
1150C22×C4C23×D5911yescharacteristic
1151C4⋊C4—22no—
1152C4⋊C4—22no—
1153C4⋊C4—22no—
1154C4⋊C4—41no—
1155C4⋊C4—41no—
1156C4⋊C4—41no—
1157C4⋊C4—41no—
1158C4⋊C4—41no—
1159C4⋊C4—41no—
1160C4⋊C4—1182no—
1161C4⋊C4—1182no—
1162C4⋊C4—1182no—
1163C4⋊C4—1182no—
1164C4⋊C4—1182no—
1165C4⋊C4—1182no—
1166C4⋊C4—1182no—
1167C4⋊C4—1182no—
1168C4⋊C4—1182no—
1169C4⋊C4—1182no—
1170C4⋊C4—2361no—
1171C4⋊C4—2361no—
1172C4⋊C4—2361no—
1173C4⋊C4—2361no—
1174C4⋊C4—2361no—
1175C4⋊C4—2361no—
1176C4⋊C4—2361no—
1177C4⋊C4—2361no—
1178C4⋊C4—2361no—
1179C4⋊C4—2361no—
1180C4⋊C4—2361no—
1181C4⋊C4—2361no—
1182C4⋊C4—2361no—
1183C4⋊C4—2361no—
1184C4⋊C4—2361no—
1185C4⋊C4—2361no—
1186C4⋊C4—2361no—
1187C4⋊C4—2361no—
1188C4⋊C4—2361no—
1189C22⋊C4—22no—
1190C22⋊C4—22no—
1191C22⋊C4—22no—
1192C22⋊C4—41no—
1193C22⋊C4—41no—
1194C22⋊C4—41no—
1195C22⋊C4—41no—
1196C22⋊C4—41no—
1197C22⋊C4—41no—
1198C22⋊C4—41no—
1199C22⋊C4—1182no—
1200C22⋊C4—1182no—
1201C22⋊C4—1182no—
1202C22⋊C4—1182no—
1203C22⋊C4—1182no—
1204C22⋊C4—1182no—
1205C22⋊C4—1182no—
1206C22⋊C4—1182no—
1207C22⋊C4—1182no—
1208C22⋊C4—1182no—
1209C22⋊C4—1182no—
1210C22⋊C4—1182no—
1211C22⋊C4—2361no—
1212C22⋊C4—2361no—
1213C22⋊C4—2361no—
1214C22⋊C4—2361no—
1215C22⋊C4—2361no—
1216C22⋊C4—2361no—
1217C22⋊C4—2361no—
1218C22⋊C4—2361no—
1219C22⋊C4—2361no—
1220C22⋊C4—2361no—
1221C22⋊C4—2361no—
1222C22⋊C4—2361no—
1223C22⋊C4—2361no—
1224C22⋊C4—2361no—
1225C22⋊C4—2361no—
1226C22⋊C4—2361no—
1227C22⋊C4—2361no—
1228C22⋊C4—2361no—
1229C22⋊C4—2361no—
1230C22⋊C4—2361no—
1231C42—22no—
1232C42—41no—
1233C42—41no—
1234C42—1182no—
1235C42—1182no—
1236C42—2361no—
1237C42—2361no—
1238C42—2361no—
1239C42—2361no—
1240C42—2361no—
1241C42—2361no—
1242C42—2361no—
1243C42—2361no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—592no—
1259C23—1181no—
1260C23—1181no—
1261C23—1181no—
1262C23—1181no—
1263C23—1181no—
1264C23—1181no—
1265C23—1181no—
1266C23—1181no—
1267C23—1181no—
1268C23—1181no—
1269C23—1181no—
1270C23—1181no—
1271C23—1181no—
1272C23C24×D5911yescharacteristic
1273Q8—4722no—
1274Q8—4722no—
1275D4—82no—
1276D4—4722no—
1277D4—4722no—
1278D4—4722no—
1279D4—4722no—
1280D4—2364no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—44no—
1319C2×C4—82no—
1320C2×C4—592no—
1321C2×C4—592no—
1322C2×C4—592no—
1323C2×C4—1181no—
1324C2×C4—1181no—
1325C2×C4—1181no—
1326C2×C4—1181no—
1327C2×C4—1181no—
1328C2×C4—1181no—
1329C2×C4—1181no—
1330C2×C4—1181no—
1331C2×C4—1181no—
1332C2×C4—1181no—
1333C2×C4—1181no—
1334C2×C4—1181no—
1335C2×C4—1181no—
1336C2×C4—1181no—
1337C2×C4—1181no—
1338C2×C4—1181no—
1339C2×C4—1181no—
1340C2×C4—1181no—
1341C2×C4—1181no—
1342C2×C4—1181no—
1343C2×C4—1181no—
1344C2×C4—1181no—
1345C2×C4—1181no—
1346C2×C4—1181no—
1347C2×C4—1181no—
1348C2×C4—1181no—
1349C2×C4—1181no—
1350C2×C4—1181no—
1351C2×C4—1181no—
1352C2×C4—1181no—
1353C2×C4—1181no—
1354C2×C4—1181no—
1355C2×C4—1181no—
1356C2×C4—1181no—
1357C2×C4—1181no—
1358C2×C4—1181no—
1359C2×C4—1181no—
1360C2×C4—1181no—
1361C2×C4—1181no—
1362C2×C4—4722no—
1363C2×C4—2364no—
1364C2×C4—2364no—
1365C2×C4—2364no—
1366C2×C4#41×D5912yes—
1367C2×C4#1427377212yes—
1368C22—41no—
1369C22—41no—
1370C22—41no—
1371C22—41no—
1372C22—41no—
1373C22—41no—
1374C22—41no—
1375C22—41no—
1376C22—41no—
1377C22—41no—
1378C22—41no—
1379C22—41no—
1380C22—41no—
1381C22—41no—
1382C22—1182no—
1383C22—1182no—
1384C22—1182no—
1385C22—2361no—
1386C22—2361no—
1387C22—2361no—
1388C22—2361no—
1389C22—2361no—
1390C22—2361no—
1391C22—2361no—
1392C22—2361no—
1393C22—2361no—
1394C22—2361no—
1395C22—2361no—
1396C22C2×#41×D5911yescharacteristic
1397C22H(5,𝔽2)×D5911yescharacteristic
1398C22C2×#1427377211yescharacteristic
1399C222−1+4×D5911yescharacteristic
1400C22#1683823811yescharacteristic
1401C22#1683823811yescharacteristic
1402C22#1683823811yescharacteristic
1403C4—22no—
1404C4—22no—
1405C4—41no—
1406C4—41no—
1407C4—41no—
1408C4—41no—
1409C4—41no—
1410C4—41no—
1411C4—41no—
1412C4—41no—
1413C4—41no—
1414C4—41no—
1415C4—41no—
1416C4—1182no—
1417C4—1182no—
1418C4—1182no—
1419C4—2361no—
1420C4—2361no—
1421C4—2361no—
1422C4—2361no—
1423C4—2361no—
1424C4—2361no—
1425C4—2361no—
1426C4—2361no—
1427C4—2361no—
1428C4—2361no—
1429C4—2361no—
1430C2—81no—
1431C2—81no—
1432C2—4721no—
1433C2—2362no—
1434C2#2143747911yescharacteristic
1435C2#2143792411yescharacteristic
1436C2#2143800111yescharacteristic
1437C2#2143829711yescharacteristic
1438C2#2143841011yescharacteristic
1439C2#2143859211yescharacteristic
1440C2#2143866911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2470C2
prime radical#21430733C2
hypercenter#2470D59
hypocenterC59#36767
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2470

Complements

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

NH ≅ G/Ntype
1. #21432447C2semidirect
2. #21432423C2semidirect
3. #21432036C2semidirect
4. #21432010C2semidirect
5. #21431907C2semidirect
6. #21431788C2semidirect
7. #21431742C2semidirect
8. #21431302C2semidirect
9. #21431214C2semidirect
10. #21431099C2semidirect
11. #21431069C2semidirect
12. #21431015C2semidirect
13. #21430949C2semidirect
14. #21430927C2semidirect
16. #21430648C2semidirect
17. #21430583C2semidirect
18. #21430377C2semidirect
19. #21429941C2semidirect
20. #21429939C2semidirect
21. #21429544C2semidirect
22. #21429534C2semidirect
23. #21429240C2semidirect
24. #21429194C2semidirect
25. #21428935C2semidirect
26. #21428918C2semidirect
27. #21428321C2semidirect
28. #21426892C2semidirect
29. #21426888C2semidirect
30. #21426533C2semidirect
31. C59×#2470C2semidirect
737. #2470D59semidirect
907. C59#36767semidirect

Maximal subgroups

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

subgroupindex
#214324472
#214324232
#214320362
#214320102
#214319072
#214317882
#214317422
#214313022
#214312142
#214310992
#214310692
#214310152
#214309492
#214309272
#214307332
#214306482
#214305832
#214303772
#214299412
#214299392
#214295442
#214295342
#214292402
#214291942
#214289352
#214289182
#214283212
#214268922
#214268882
#214265332
C59×#24702
#3676759