Finite Group Databasebeta

← #28796094

Subgroups — #28796094

Order 15104.

2782 conjugacy classes of subgroups.

The subgroup lattice has 1912 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837991C211yesmaximal, characteristic, complemented
2C2×#16837962C211yesmaximal, characteristic, complemented
3#21432440C211yesmaximal, characteristic, complemented
4#21432394C211yesmaximal, characteristic, complemented
5#21430940C211yesmaximal, characteristic, complemented
6#21430939C211yesmaximal, characteristic, complemented
7#21430844C211yesmaximal, characteristic, complemented
8#21430841C211yesmaximal, characteristic, complemented
9#21430790C211yesmaximal, characteristic, complemented
10#21430789C211yesmaximal, characteristic, complemented
11#21430737C211yesmaximal, characteristic, complemented
12#21430734C211yesmaximal, characteristic, complemented
13#21430482C211yesmaximal, characteristic, complemented
14#21430428C211yesmaximal, characteristic, complemented
15#21430425C211yesmaximal, characteristic, complemented
16#21430322C211yesmaximal, characteristic, complemented
17#21430319C211yesmaximal, characteristic, complemented
18#21430312C211yesmaximal, characteristic, complemented
19#21430310C211yesmaximal, characteristic, complemented
20#21430199C211yesmaximal, characteristic, complemented
21#21430027C211yesmaximal, characteristic, complemented
22#21429061C211yesmaximal, characteristic, complemented
23#21429059C211yesmaximal, characteristic, complemented
24#21427539C211yesmaximal, characteristic, complemented
25#21427531C211yesmaximal, characteristic, complemented
26#21427472C211yesmaximal, characteristic, complemented
27#21427472C211yesmaximal, characteristic, complemented
28#21427465C211yesmaximal, characteristic, complemented
29#21427465C211yesmaximal, characteristic, complemented
30#388×D59C211yesmaximal, characteristic, complemented
31C59×#2685C211yesmaximal, characteristic, complemented
32C23×C22⋊D59C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34#16837991—28no—
35#16837962—28no—
36C2×#14273723C2211yescharacteristic, complemented
37C2×#14273722C2211yescharacteristic, complemented
38C2×#14273715C2211yescharacteristic, complemented
39C2×#14273713C2211yescharacteristic, complemented
40C2×#14273713C2211yescharacteristic, complemented
41C2×#14273712C2211yescharacteristic, complemented
42C2×#14273711C2211yescharacteristic
43C2×#14273709C2211yescharacteristic
44C2×#14273709C2211yescharacteristic
45C2×#14273709C2211yescharacteristic, complemented
46C2×#14273708C2211yescharacteristic
47C2×#14273705C2211yescharacteristic, complemented
48C2×#14273702C2211yescharacteristic, complemented
49C2×#14273702C2211yescharacteristic, complemented
50C2×#14273702C2211yescharacteristic, complemented
51C2×#14273702C2211yescharacteristic, complemented
52C2×#14273700C2211yescharacteristic
53C2×#14273700C2211yescharacteristic
54C2×#14273700C2211yescharacteristic, complemented
55C2×#14273700C2211yescharacteristic, complemented
56C2×#14273700C2211yescharacteristic, complemented
57C2×#14273700C2211yescharacteristic, complemented
58C2×#14273700C2211yescharacteristic, complemented
59C2×#14273700C2211yescharacteristic, complemented
60C2×#14273700C2211yescharacteristic, complemented
61C2×#14273700C2211yescharacteristic, complemented
62C2×#14273698C2211yescharacteristic
63C2×#14273698C2211yescharacteristic
64C2×#14273698C2211yescharacteristic, complemented
65C2×#14273697C2211yescharacteristic
66C2×#14273697C2211yescharacteristic
67C2×#14273697C2211yescharacteristic, complemented
68C2×#14273697C2211yescharacteristic, complemented
69C2×#14273696C2211yescharacteristic
70C2×#14273696C2211yescharacteristic, complemented
71C2×#14273696C2211yescharacteristic, complemented
72C2×#14273695C2211yescharacteristic
73C2×#14273695C2211yescharacteristic
74C2×C4×D236C2211yescharacteristic, complemented
75C2×#14273689C2211yescharacteristic, complemented
76C2×C4⋊C4×D59C2211yescharacteristic, complemented
77C2×C22⋊C4×D59C2211yescharacteristic
78C2×C22⋊C4×D59C2211yescharacteristic
79C2×C22⋊C4×D59C2211yescharacteristic
80C2×C42×D59C2211yescharacteristic, complemented
81#16837342C2211yescharacteristic, complemented
82#16837341C2211yescharacteristic, complemented
83#16837337C2211yescharacteristic, complemented
84#16837337C2211yescharacteristic, complemented
85#16837337C2211yescharacteristic, complemented
86#16837335C2211yescharacteristic, complemented
87#16837332C2211yescharacteristic, complemented
88#16837331C2211yescharacteristic, complemented
89#16837330C2211yescharacteristic, complemented
90#16837330C2211yescharacteristic, complemented
91#16837329C2211yescharacteristic, complemented
92#16837325C2211yescharacteristic, complemented
93#16837325C2211yescharacteristic, complemented
94#16837324C2211yescharacteristic, complemented
95#16837319C2211yescharacteristic, complemented
96#16837318C2211yescharacteristic, complemented
97#16837318C2211yescharacteristic, complemented
98#16837317C2211yescharacteristic
99#16837317C2211yescharacteristic
100#16837317C2211yescharacteristic
101#16837317C2211yescharacteristic
102#16837317C2211yescharacteristic
103#16837317C2211yescharacteristic
104#16837317C2211yescharacteristic, complemented
105#16837317C2211yescharacteristic, complemented
106#16837316C2211yescharacteristic, complemented
107#16837314C2211yescharacteristic, complemented
108#16837314C2211yescharacteristic, complemented
109#16837312C2211yescharacteristic, complemented
110#16837311C2211yescharacteristic
111#16837311C2211yescharacteristic
112#16837311C2211yescharacteristic
113#16837311C2211yescharacteristic
114#16837311C2211yescharacteristic
115#16837311C2211yescharacteristic
116#16837311C2211yescharacteristic, complemented
117#16837311C2211yescharacteristic, complemented
118#16837311C2211yescharacteristic, complemented
119#16837311C2211yescharacteristic, complemented
120#16837310C2211yescharacteristic
121#16837310C2211yescharacteristic
122#16837310C2211yescharacteristic, complemented
123#16837306C2211yescharacteristic, complemented
124#16837304C2211yescharacteristic, complemented
125#16837302C2211yescharacteristic, complemented
126#16837302C2211yescharacteristic, complemented
127#16837302C2211yescharacteristic, complemented
128#16837302C2211yescharacteristic, complemented
129#16837302C2211yescharacteristic, complemented
130#16837302C2211yescharacteristic, complemented
131#16837300C2211yescharacteristic, complemented
132#16837297C2211yescharacteristic, complemented
133#16837296C2211yescharacteristic, complemented
134#16837296C2211yescharacteristic, complemented
135#16837296C2211yescharacteristic, complemented
136#16837296C2211yescharacteristic, complemented
137#16837295C2211yescharacteristic, complemented
138#16837294C2211yescharacteristic, complemented
139#16837293C2211yescharacteristic, complemented
140#16837293C2211yescharacteristic, complemented
141#16837293C2211yescharacteristic, complemented
142#16837292C2211yescharacteristic, complemented
143#16837292C2211yescharacteristic, complemented
144#16837291C2211yescharacteristic, complemented
145#16837290C2211yescharacteristic, complemented
146#16837280C2211yescharacteristic, complemented
147#16837280C2211yescharacteristic, complemented
148#16837280C2211yescharacteristic, complemented
149#16837280C2211yescharacteristic, complemented
150#16837280C2211yescharacteristic, complemented
151#16837279C2211yescharacteristic, complemented
152#16837279C2211yescharacteristic, complemented
153#16837278C2211yescharacteristic, complemented
154#16837278C2211yescharacteristic, complemented
155#16837278C2211yescharacteristic, complemented
156#16837278C2211yescharacteristic, complemented
157#16837278C2211yescharacteristic, complemented
158#16837278C2211yescharacteristic, complemented
159#16837278C2211yescharacteristic, complemented
160#16837278C2211yescharacteristic, complemented
161#16837278C2211yescharacteristic, complemented
162#16837274C2211yescharacteristic, complemented
163#16837274C2211yescharacteristic, complemented
164#16837273C2211yescharacteristic, complemented
165#16837273C2211yescharacteristic, complemented
166#16837271C2211yescharacteristic, complemented
167#16837266C2211yescharacteristic, complemented
168#16837261C2211yescharacteristic, complemented
169#16837259C2211yescharacteristic, complemented
170#16837257C2211yescharacteristic, complemented
171#16837257C2211yescharacteristic, complemented
172#95×D59C2211yescharacteristic, complemented
173#95×D59C2211yescharacteristic, complemented
174C2×#126×C59C2211yescharacteristic, complemented
175C2×#120×C59C2211yescharacteristic
176C59×#399C2211yescharacteristic, complemented
177C59×#396C2211yescharacteristic, complemented
178C59×#394C2211yescharacteristic
179C59×#394C2211yescharacteristic
180C59×#394C2211yescharacteristic, complemented
181C59×#394C2211yescharacteristic, complemented
182C59×#390C2211yescharacteristic, complemented
183C59×#390C2211yescharacteristic, complemented
184C59×#388C2211yescharacteristic, complemented
185C59×#388C2211yescharacteristic, complemented
186C59×#388C2211yescharacteristic, complemented
187C59×#379C2211yescharacteristic, complemented
188C59×#379C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C24×D59C2311yescharacteristic
191C22×Dic118C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×D236C2311yescharacteristic
198C22×D236C2311yescharacteristic
199C22×D236C2311yescharacteristic
200C22×C22⋊D59—24no—
201C22×C22⋊D59—42no—
202C22×C22⋊D59—42no—
203C22×C22⋊D59C2311yescharacteristic
204C22×C22⋊D59C2311yescharacteristic
205C22×C22⋊D59C2311yescharacteristic
206C22×C22⋊D59C2311yescharacteristic
207C22×C22⋊D59C2311yescharacteristic
208C22×C22⋊D59C2311yescharacteristic
209C22×C22⋊D59C2311yescharacteristic
210C22×C22⋊D59C2311yescharacteristic
211C22×C22⋊D59C2311yescharacteristic
212C22×C22⋊D59C2311yescharacteristic
213C22×C22⋊D59C2311yescharacteristic
214C22×C22⋊D59C2311yescharacteristic
215C22×C22⋊D59C2311yescharacteristic
216C22×C22⋊D59C2311yescharacteristic
217C22×C22⋊D59C2311yescharacteristic
218C22×C22⋊D59C2311yescharacteristic
219C2×D4×D59—24no—
220C2×D4×D59—42no—
221C2×D4×D59—42no—
222C23×Dic59C2311yescharacteristic
223C22×C4×D59C2311yescharacteristic
224C22×C4×D59C2311yescharacteristic
225C22×C4×D59C2311yescharacteristic
226C22×C4×D59C2311yescharacteristic
227C22×C4×D59C2311yescharacteristic
228C22×C4×D59C2311yescharacteristic
229C22×C4×D59C2311yescharacteristic
230C22×C4×D59C2311yescharacteristic
231C22×C4×D59C2311yescharacteristic
232#14273723—42no—
233#14273722—24no—
234#14273715—24no—
235#14273713—24no—
236#14273713—42no—
237#14273712—24no—
238#14273711—24no—
239#14273709—24no—
240#14273709—24no—
241#14273709—24no—
242#14273708—24no—
243#14273705—24no—
244#14273702—24no—
245#14273702—24no—
246#14273702—42no—
247#14273702—42no—
248#14273700—24no—
249#14273700—24no—
250#14273700—24no—
251#14273700—42no—
252#14273700—42no—
253#14273700—42no—
254#14273700—42no—
255#14273700—42no—
256#14273700—42no—
257#14273700—42no—
258#14273698—24no—
259#14273698—24no—
260#14273698—42no—
261#14273697—24no—
262#14273697—24no—
263#14273697—42no—
264#14273697—42no—
265#14273696—24no—
266#14273696—42no—
267#14273696—42no—
268#14273695—24no—
269#14273695—24no—
270C4×D236—24no—
271#14273689—24no—
272C2×C4⋊Dic59C2311yescharacteristic
273C2×C4⋊Dic59C2311yescharacteristic
274C2×C4⋊Dic59C2311yescharacteristic
275C2×C4⋊Dic59C2311yescharacteristic
276C2×Dic59⋊C4C2311yescharacteristic
277C2×Dic59⋊C4C2311yescharacteristic
278C2×Dic59⋊C4C2311yescharacteristic
279C2×Dic59⋊C4C2311yescharacteristic
280C2×Dic59⋊C4C2311yescharacteristic
281C2×Dic59⋊C4C2311yescharacteristic
282C2×Dic59⋊C4C2311yescharacteristic
283C2×Dic59⋊C4C2311yescharacteristic
284C2×Dic59⋊C4C2311yescharacteristic
285C2×Dic59⋊C4C2311yescharacteristic
286C2×Dic59⋊C4C2311yescharacteristic
287C2×Dic59⋊C4C2311yescharacteristic
288C4⋊C4×D59—42no—
289C2×C22⋊Dic59C2311yescharacteristic
290C2×C22⋊Dic59C2311yescharacteristic
291C2×C22⋊Dic59C2311yescharacteristic
292C2×C22⋊Dic59C2311yescharacteristic
293C2×C22⋊Dic59C2311yescharacteristic
294C2×C22⋊Dic59C2311yescharacteristic
295C2×C22⋊Dic59C2311yescharacteristic
296C2×C22⋊Dic59C2311yescharacteristic
297C2×C22⋊Dic59C2311yescharacteristic
298C2×C22⋊Dic59C2311yescharacteristic
299C2×C22⋊Dic59C2311yescharacteristic
300C2×C22⋊Dic59C2311yescharacteristic
301C2×C22⋊Dic59C2311yescharacteristic
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C2×(C2×D59)⋊C4C2311yescharacteristic
304C2×(C2×D59)⋊C4C2311yescharacteristic
305C2×(C2×D59)⋊C4C2311yescharacteristic
306C2×(C2×D59)⋊C4C2311yescharacteristic
307C2×(C2×D59)⋊C4C2311yescharacteristic
308C2×(C2×D59)⋊C4C2311yescharacteristic
309C2×(C2×D59)⋊C4C2311yescharacteristic
310C2×(C2×D59)⋊C4C2311yescharacteristic
311C2×(C2×D59)⋊C4C2311yescharacteristic
312C2×(C2×D59)⋊C4C2311yescharacteristic
313C2×(C2×D59)⋊C4C2311yescharacteristic
314C2×(C2×D59)⋊C4C2311yescharacteristic
315C2×(C2×D59)⋊C4C2311yescharacteristic
316C2×(C2×D59)⋊C4C2311yescharacteristic
317C2×(C2×D59)⋊C4C2311yescharacteristic
318C2×(C2×D59)⋊C4C2311yescharacteristic
319C2×(C2×D59)⋊C4C2311yescharacteristic
320C2×(C2×D59)⋊C4C2311yescharacteristic
321C2×(C2×D59)⋊C4C2311yescharacteristic
322C2×(C2×D59)⋊C4C2311yescharacteristic
323C2×(C2×D59)⋊C4C2311yescharacteristic
324C2×(C2×D59)⋊C4C2311yescharacteristic
325C2×(C2×D59)⋊C4C2311yescharacteristic
326C2×(C2×D59)⋊C4C2311yescharacteristic
327C2×(C2×D59)⋊C4C2311yescharacteristic
328C2×(C2×D59)⋊C4C2311yescharacteristic
329C2×(C2×D59)⋊C4C2311yescharacteristic
330C2×(C2×D59)⋊C4C2311yescharacteristic
331C2×(C2×D59)⋊C4C2311yescharacteristic
332C22⋊C4×D59—42no—
333C22⋊C4×D59—42no—
334C22⋊C4×D59D418yescomplemented
335C2×C4×Dic59C2311yescharacteristic
336C2×C4×Dic59C2311yescharacteristic
337C2×C4×Dic59C2311yescharacteristic
338C2×C4×Dic59C2311yescharacteristic
339C42×D59—42no—
340C59⋊#95C2311yescharacteristic
341C59⋊#95C2311yescharacteristic
342C59⋊#95C2311yescharacteristic
343C59⋊#95C2311yescharacteristic
344C59⋊#95C2311yescharacteristic
345C59⋊#95C2311yescharacteristic
346C59⋊#95C2311yescharacteristic
347C59⋊#95C2311yescharacteristic
348C59⋊#95C2311yescharacteristic
349C59⋊#95C2311yescharacteristic
350C59⋊#95C2311yescharacteristic
351C59⋊#95C2311yescharacteristic
352C59⋊#95C2311yescharacteristic
353C59⋊#95C2311yescharacteristic
354C59⋊#95C2311yescharacteristic
355C59⋊#95C2311yescharacteristic
356C59⋊#95C2311yescharacteristic
357C59⋊#95C2311yescharacteristic
358C59⋊#95C2311yescharacteristic
359C59⋊#95C2311yescharacteristic
360C25×C59C2311yescharacteristic
361C22×D4×C59C2311yescharacteristic
362C22×D4×C59C2311yescharacteristic
363C22×D4×C59C2311yescharacteristic
364#126×C59—24no—
365#120×C59—24no—
366C2×C4⋊C4×C59C2311yescharacteristic
367C2×C4⋊C4×C59C2311yescharacteristic
368C2×C4⋊C4×C59C2311yescharacteristic
369C2×C4⋊C4×C59C2311yescharacteristic
370C2×C4⋊C4×C59C2311yescharacteristic
371C2×C4⋊C4×C59C2311yescharacteristic
372C2×C22⋊C4×C59C2311yescharacteristic
373C2×C22⋊C4×C59C2311yescharacteristic
374C2×C22⋊C4×C59C2311yescharacteristic
375C2×C22⋊C4×C59C2311yescharacteristic
376C2×C22⋊C4×C59C2311yescharacteristic
377C2×C22⋊C4×C59C2311yescharacteristic
378C2×C22⋊C4×C59C2311yescharacteristic
379C2×C22⋊C4×C59C2311yescharacteristic
380C2×C22⋊C4×C59C2311yescharacteristic
381C2×C22⋊C4×C59C2311yescharacteristic
382C2×C22⋊C4×C59C2311yescharacteristic
383C2×C22⋊C4×C59C2311yescharacteristic
384C2×C22⋊C4×C59C2311yescharacteristic
385C2×C22⋊C4×C59C2311yescharacteristic
386C2×C22⋊C4×C59C2311yescharacteristic
387C2×C22⋊C4×C59C2311yescharacteristic
388C2×C22⋊C4×C59C2311yescharacteristic
389C2×C22⋊C4×C59C2311yescharacteristic
390C2×C22⋊C4×C59C2311yescharacteristic
391C2×C42×C59C2311yescharacteristic
392C2×C42×C59C2311yescharacteristic
393#95×C59C2311yescharacteristic
394#95×C59C2311yescharacteristic
395#95×C59C2311yescharacteristic
396#95×C59C2311yescharacteristic
397C24×C59—22no—
398C24×C59—41no—
399C24×C59—41no—
400C24×C59—41no—
401C24×C59—41no—
402C24×C59—41no—
403C24×C59—41no—
404C24×C59C2411yescharacteristic
405C24×C59C2411yescharacteristic
406C24×C59C2411yescharacteristic
407C24×C59C2411yescharacteristic
408C23×D59—22no—
409C23×D59—22no—
410C23×D59—22no—
411C23×D59—41no—
412C23×D59—41no—
413C23×D59—41no—
414C23×D59—41no—
415C23×D59—41no—
416C23×D59—41no—
417C23×D59—41no—
418C23×D59—41no—
419C23×D59—41no—
420C23×D59—41no—
421C23×D59C2×D414yes—
422C23×D59C2411yescharacteristic
423C23×D59C2411yescharacteristic
424C23×D59C2411yescharacteristic
425C23×D59C2411yescharacteristic
426C23×D59C2411yescharacteristic
427C2×D4×C59—22no—
428C2×D4×C59—22no—
429C2×D4×C59—22no—
430C2×D4×C59—41no—
431C2×D4×C59—41no—
432C2×D4×C59—41no—
433C2×D4×C59—41no—
434C2×D4×C59—41no—
435C2×D4×C59—41no—
436C22×C4×C59C2411yescharacteristic
437C22×C4×C59C2411yescharacteristic
438C22×C4×C59C2411yescharacteristic
439C22×C4×C59C2411yescharacteristic
440C22×C4×C59C2411yescharacteristic
441C22×C4×C59C2411yescharacteristic
442C22×C4×C59C2411yescharacteristic
443C22×C4×C59C2411yescharacteristic
444C22×C4×C59C2411yescharacteristic
445C22×C4×C59C2411yescharacteristic
446C22×C4×C59C2411yescharacteristic
447C2×C22⋊D59—22no—
448C2×C22⋊D59—22no—
449C2×C22⋊D59—22no—
450C2×C22⋊D59—22no—
451C2×C22⋊D59—22no—
452C2×C22⋊D59—22no—
453C2×C22⋊D59—22no—
454C2×C22⋊D59—22no—
455C2×C22⋊D59—22no—
456C2×C22⋊D59—22no—
457C2×C22⋊D59—22no—
458C2×C22⋊D59—22no—
459C2×C22⋊D59—22no—
460C2×C22⋊D59—22no—
461C2×C22⋊D59—22no—
462C2×C22⋊D59—22no—
463C2×C22⋊D59—22no—
464C2×C22⋊D59—22no—
465C2×C22⋊D59—22no—
466C2×C22⋊D59—22no—
467C2×C22⋊D59—41no—
468C2×C22⋊D59—41no—
469C2×C22⋊D59—41no—
470C2×C22⋊D59—41no—
471C2×C22⋊D59—41no—
472C2×C22⋊D59—41no—
473C2×C22⋊D59—41no—
474C2×C22⋊D59—41no—
475C2×C22⋊D59—41no—
476C2×C22⋊D59—41no—
477C2×C22⋊D59—41no—
478C2×C22⋊D59—41no—
479C2×C22⋊D59—41no—
480C2×C22⋊D59—41no—
481C2×C22⋊D59—41no—
482C2×C22⋊D59—41no—
483C2×C22⋊D59—41no—
484C2×C22⋊D59—41no—
485C2×C22⋊D59—41no—
486C2×C22⋊D59—41no—
487C2×C22⋊D59—41no—
488C2×C22⋊D59—41no—
489C2×C22⋊D59—41no—
490C2×C22⋊D59—41no—
491C2×C22⋊D59—41no—
492C2×C22⋊D59—41no—
493C2×C22⋊D59—41no—
494C2×C22⋊D59—41no—
495C2×C22⋊D59—416no—
496C22×Dic59—22no—
497C22×Dic59—41no—
498C22×Dic59—41no—
499C22×Dic59C2411yescharacteristic
500C22×Dic59C2411yescharacteristic
501C22×Dic59C2411yescharacteristic
502C22×Dic59C2411yescharacteristic
503C22×Dic59C2411yescharacteristic
504C22×Dic59C2411yescharacteristic
505C22×Dic59C2411yescharacteristic
506C22×Dic59C2411yescharacteristic
507C22×Dic59C2411yescharacteristic
508C22×Dic59C2411yescharacteristic
509C22×Dic59C2411yescharacteristic
510D4×D59—416no—
511C2×D236—22no—
512C2×D236—22no—
513C2×D236—22no—
514C2×D236—22no—
515C2×D236—22no—
516C2×D236—22no—
517C2×D236—22no—
518C2×D236—22no—
519C2×D236—22no—
520C2×D236—22no—
521C2×D236—22no—
522C2×D236—22no—
523C2×D236—41no—
524C2×D236—41no—
525C2×D236—41no—
526C2×D236—41no—
527C2×D236—41no—
528C2×D236—41no—
529C2×D236—41no—
530C2×D236—41no—
531C2×D236—41no—
532C2×D236—41no—
533C2×D236—41no—
534C2×D236—41no—
535C2×C4×D59—22no—
536C2×C4×D59—22no—
537C2×C4×D59—22no—
538C2×C4×D59—22no—
539C2×C4×D59—22no—
540C2×C4×D59—22no—
541C2×C4×D59—22no—
542C2×C4×D59—22no—
543C2×C4×D59—22no—
544C2×C4×D59—41no—
545C2×C4×D59—41no—
546C2×C4×D59—41no—
547C2×C4×D59—41no—
548C2×C4×D59—41no—
549C2×C4×D59—41no—
550C2×C4×D59—41no—
551C2×C4×D59—41no—
552C2×C4×D59—41no—
553C2×C4×D59—41no—
554C2×C4×D59—41no—
555C2×C4×D59—41no—
556C2×C4×D59—41no—
557C2×C4×D59—41no—
558C2×C4×D59—41no—
559C2×C4×D59—41no—
560C2×C4×D59C2×D414yes—
561C2×C4×D59C2×D414yes—
562C2×Dic118—22no—
563C2×Dic118—41no—
564C2×Dic118—41no—
565C4⋊C4×C59—22no—
566C4⋊C4×C59—22no—
567C4⋊C4×C59—22no—
568C4⋊C4×C59—41no—
569C4⋊C4×C59—41no—
570C4⋊C4×C59—41no—
571C22⋊C4×C59—22no—
572C22⋊C4×C59—22no—
573C22⋊C4×C59—22no—
574C22⋊C4×C59—22no—
575C22⋊C4×C59—41no—
576C22⋊C4×C59—41no—
577C22⋊C4×C59—41no—
578C22⋊C4×C59—41no—
579C22⋊C4×C59—41no—
580C22⋊C4×C59—41no—
581C22⋊C4×C59—41no—
582C22⋊C4×C59—41no—
583C22⋊C4×C59—41no—
584C22⋊C4×C59—41no—
585C22⋊C4×C59—41no—
586C22⋊C4×C59—41no—
587C22⋊C4×C59—41no—
588C22⋊C4×C59—41no—
589C22⋊C4×C59C2×D414yes—
590C42×C59—22no—
591C42×C59—41no—
592C22⋊Dic59—22no—
593C22⋊Dic59—22no—
594C22⋊Dic59—22no—
595C22⋊Dic59—22no—
596C22⋊Dic59—22no—
597C22⋊Dic59—22no—
598C22⋊Dic59—22no—
599C22⋊Dic59—22no—
600C22⋊Dic59—41no—
601C22⋊Dic59—41no—
602C22⋊Dic59—41no—
603C22⋊Dic59—41no—
604C22⋊Dic59C2×D414yes—
605(C2×D59)⋊C4—22no—
606(C2×D59)⋊C4—22no—
607(C2×D59)⋊C4—22no—
608(C2×D59)⋊C4—22no—
609(C2×D59)⋊C4—22no—
610(C2×D59)⋊C4—22no—
611(C2×D59)⋊C4—22no—
612(C2×D59)⋊C4—22no—
613(C2×D59)⋊C4—22no—
614(C2×D59)⋊C4—22no—
615(C2×D59)⋊C4—22no—
616(C2×D59)⋊C4—22no—
617(C2×D59)⋊C4—22no—
618(C2×D59)⋊C4—22no—
619(C2×D59)⋊C4—41no—
620(C2×D59)⋊C4—41no—
621(C2×D59)⋊C4—41no—
622(C2×D59)⋊C4—41no—
623(C2×D59)⋊C4—41no—
624(C2×D59)⋊C4—41no—
625(C2×D59)⋊C4—41no—
626(C2×D59)⋊C4—41no—
627(C2×D59)⋊C4—41no—
628(C2×D59)⋊C4—41no—
629(C2×D59)⋊C4—41no—
630(C2×D59)⋊C4—41no—
631(C2×D59)⋊C4—41no—
632(C2×D59)⋊C4—41no—
633(C2×D59)⋊C4C2×D414yes—
634(C2×D59)⋊C4C2×D414yes—
635C4⋊Dic59—22no—
636C4⋊Dic59—22no—
637C4⋊Dic59—22no—
638C4⋊Dic59—22no—
639Dic59⋊C4—22no—
640Dic59⋊C4—22no—
641Dic59⋊C4—22no—
642Dic59⋊C4—22no—
643Dic59⋊C4—22no—
644Dic59⋊C4—41no—
645Dic59⋊C4—41no—
646Dic59⋊C4—41no—
647Dic59⋊C4—41no—
648Dic59⋊C4—41no—
649Dic59⋊C4—41no—
650Dic59⋊C4—41no—
651C4×Dic59—22no—
652C4×Dic59—22no—
653C4×Dic59—22no—
654C4×Dic59—41no—
655C23×C59—21no—
656C23×C59—21no—
657C23×C59—21no—
658C23×C59—21no—
659C23×C59—21no—
660C23×C59—21no—
661C23×C59—21no—
662C23×C59—21no—
663C23×C59—21no—
664C23×C59—21no—
665C23×C59—21no—
666C23×C59—21no—
667C23×C59—21no—
668C23×C59—21no—
669C23×C59—21no—
670C23×C59—21no—
671C23×C59—21no—
672C23×C59—21no—
673C23×C59—21no—
674C23×C59—21no—
675C23×C59—21no—
676C23×C59—21no—
677C23×C59—21no—
678C23×C59—21no—
679C23×C59—21no—
680C23×C59—21no—
681C23×C59—21no—
682C23×C59—44no—
683C23×C59—82no—
684C23×C59—82no—
685C23×C59—82no—
686C23×C59—82no—
687C23×C59—82no—
688C23×C59—82no—
689C23×C59C22×D412yes—
690C23×C59C2511yescharacteristic
691C22×D59—21no—
692C22×D59—21no—
693C22×D59—21no—
694C22×D59—21no—
695C22×D59—21no—
696C22×D59—21no—
697C22×D59—21no—
698C22×D59—21no—
699C22×D59—21no—
700C22×D59—21no—
701C22×D59—28no—
702C22×D59—21no—
703C22×D59—21no—
704C22×D59—21no—
705C22×D59—21no—
706C22×D59—21no—
707C22×D59—21no—
708C22×D59—21no—
709C22×D59—21no—
710C22×D59—21no—
711C22×D59—21no—
712C22×D59—21no—
713C22×D59—21no—
714C22×D59—21no—
715C22×D59—21no—
716C22×D59—21no—
717C22×D59—21no—
718C22×D59—21no—
719C22×D59—21no—
720C22×D59—21no—
721C22×D59—21no—
722C22×D59—21no—
723C22×D59—44no—
724C22×D59—44no—
725C22×D59—44no—
726C22×D59—82no—
727C22×D59—82no—
728C22×D59—82no—
729C22×D59—82no—
730C22×D59—82no—
731C22×D59—82no—
732C22×D59—82no—
733C22×D59—82no—
734C22×D59—82no—
735C22×D59—82no—
736C22×D59C22×D412yes—
737C22×D59C22×D412yes—
738C22×D59H(5,𝔽2)12yes—
739C22×D59H(5,𝔽2)12yes—
740D4×C59—44no—
741D4×C59—82no—
742D4×C59—82no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—21no—
760C2×C4×C59—21no—
761C2×C4×C59—21no—
762C2×C4×C59—21no—
763C2×C4×C59—21no—
764C2×C4×C59—21no—
765C2×C4×C59—21no—
766C2×C4×C59—21no—
767C2×C4×C59—21no—
768C2×C4×C59—21no—
769C2×C4×C59—21no—
770C2×C4×C59—21no—
771C2×C4×C59—21no—
772C2×C4×C59—21no—
773C2×C4×C59—21no—
774C2×C4×C59C22×D412yes—
775C2×C4×C59C22×D412yes—
776C22⋊D59—44no—
777C22⋊D59—44no—
778C22⋊D59—44no—
779C22⋊D59—44no—
780C22⋊D59—44no—
781C22⋊D59—44no—
782C22⋊D59—82no—
783C22⋊D59—82no—
784C22⋊D59—82no—
785C22⋊D59—82no—
786C22⋊D59—82no—
787C22⋊D59—82no—
788C22⋊D59—82no—
789C22⋊D59—82no—
790C22⋊D59—82no—
791C22⋊D59—82no—
792C2×Dic59—21no—
793C2×Dic59—21no—
794C2×Dic59—21no—
795C2×Dic59—21no—
796C2×Dic59—21no—
797C2×Dic59—21no—
798C2×Dic59—21no—
799C2×Dic59—21no—
800C2×Dic59—21no—
801C2×Dic59—21no—
802C2×Dic59—21no—
803C2×Dic59—21no—
804C2×Dic59—21no—
805C2×Dic59—21no—
806C2×Dic59—21no—
807C2×Dic59—21no—
808C2×Dic59—21no—
809C2×Dic59—21no—
810C2×Dic59—21no—
811C2×Dic59—21no—
812C2×Dic59—21no—
813C2×Dic59—21no—
814C2×Dic59—21no—
815C2×Dic59—21no—
816C2×Dic59—21no—
817C2×Dic59—21no—
818C2×Dic59—21no—
819C2×Dic59—21no—
820C2×Dic59—21no—
821C2×Dic59—44no—
822C2×Dic59C22×D412yes—
823C2×Dic59C22×D412yes—
824C2×Dic59H(5,𝔽2)12yes—
825C2×Dic59H(5,𝔽2)12yes—
826D236—44no—
827D236—44no—
828D236—44no—
829D236—82no—
830D236—82no—
831D236—82no—
832D236—82no—
833D236—82no—
834C4×D59—44no—
835C4×D59—44no—
836C4×D59—44no—
837C4×D59—44no—
838C4×D59—44no—
839C4×D59—82no—
840C4×D59—82no—
841C4×D59—82no—
842C4×D59—82no—
843Dic118—82no—
844#36739—591nomaximal, Sylow
845C22×C59—22no—
846C22×C59—22no—
847C22×C59—22no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—41no—
854C22×C59—41no—
855C22×C59—41no—
856C22×C59—41no—
857C22×C59—41no—
858C22×C59—41no—
859C22×C59—41no—
860C22×C59—41no—
861C22×C59—41no—
862C22×C59—41no—
863C22×C59—41no—
864C22×C59—41no—
865C22×C59—41no—
866C22×C59—41no—
867C22×C59—41no—
868C22×C59—41no—
869C22×C59—41no—
870C22×C59—41no—
871C22×C59—41no—
872C22×C59—41no—
873C22×C59—88no—
874C22×C59C23×D411yescharacteristic
875C22×C59C2×H(5,𝔽2)11yescharacteristic
876C22×C59C2×H(5,𝔽2)11yescharacteristic
877C22×C59C2×H(5,𝔽2)11yescharacteristic
878C22×C59C2×H(5,𝔽2)11yescharacteristic
879C22×C59#58511yescharacteristic
880C22×C59#58511yescharacteristic
881C2×D59—22no—
882C2×D59—22no—
883C2×D59—22no—
884C2×D59—22no—
885C2×D59—22no—
886C2×D59—22no—
887C2×D59—22no—
888C2×D59—22no—
889C2×D59—22no—
890C2×D59—41no—
891C2×D59—41no—
892C2×D59—41no—
893C2×D59—41no—
894C2×D59—41no—
895C2×D59—41no—
896C2×D59—41no—
897C2×D59—41no—
898C2×D59—41no—
899C2×D59—41no—
900C2×D59—41no—
901C2×D59—41no—
902C2×D59—41no—
903C2×D59—41no—
904C2×D59—41no—
905C2×D59—41no—
906C2×D59—41no—
907C2×D59—41no—
908C2×D59—41no—
909C2×D59—41no—
910C2×D59—41no—
911C2×D59—41no—
912C2×D59—41no—
913C2×D59—41no—
914C2×D59—41no—
915C2×D59—88no—
916C2×D59—88no—
917C2×D59#53514yes—
918C4×C59—22no—
919C4×C59—22no—
920C4×C59—41no—
921C4×C59—41no—
922C4×C59—41no—
923C4×C59—41no—
924C4×C59—41no—
925C4×C59—41no—
926C4×C59—41no—
927C4×C59—41no—
928C4×C59—41no—
929Dic59—22no—
930Dic59—22no—
931Dic59—22no—
932Dic59—22no—
933Dic59—41no—
934Dic59—41no—
935Dic59—41no—
936Dic59—41no—
937Dic59—41no—
938Dic59—41no—
939Dic59—41no—
940C2×#538—591no—
941C2×#534—591no—
942#2856—591no—
943#2850—591no—
944#2718—591no—
945#2718—591no—
946#2710—591no—
947#2710—591no—
948#2706—591no—
949#2706—591no—
950#2703—591no—
951#2703—591no—
952#2685—591no—
953#2685D5911yescharacteristic, complemented
954#2678—591no—
955#2678—591no—
956#2670—591no—
957#2670—591no—
958#2669—591no—
959#2669—591no—
960#2656—591no—
961#2639—591no—
962#2543—591no—
963#2543—591no—
964#2416—591no—
965#2416—591no—
966#2410—591no—
967#2410—591no—
968#2410—591no—
969#2410—591no—
970C2×#388—591no—
971C2×C59—42no—
972C2×C59—81no—
973C2×C59—81no—
974C2×C59—81no—
975C2×C59C2×#53511yescharacteristic
976C2×C59#349611yescharacteristic
977C2×C59#349611yescharacteristic
978C2×C59#353411yescharacteristic
979C2×C59#353711yescharacteristic
980C2×C59#355811yescharacteristic
981C2×C59#356011yescharacteristic
982D59—24no—
983D59—42no—
984D59—81no—
985D59—81no—
986D59—81no—
987C23×D4—591no—
988C23×D4—591no—
989#538—1188no—
990#534—1188no—
991C2×#127—591no—
992C2×#126—591no—
993C2×#126C2×D5911yescharacteristic, complemented
994C2×#124—591no—
995C2×#124—591no—
996C2×#124—591no—
997C2×#123—591no—
998C2×#123—591no—
999C2×#123—591no—
1000C2×#123—591no—
1001C2×#123—591no—
1002C2×#123—591no—
1003C2×C22⋊Q8—591no—
1004C2×#121—591no—
1005C2×#121—591no—
1006C2×#121—591no—
1007C2×#121—591no—
1008C2×#121—591no—
1009C2×#121—591no—
1010C2×#121—591no—
1011C2×#121—591no—
1012C2×#121—591no—
1013C2×#121—591no—
1014C2×#121—591no—
1015C2×#121—591no—
1016C2×#121—591no—
1017C2×#121—591no—
1018C2×#121—591no—
1019C2×#121—591no—
1020C2×#121—591no—
1021C2×#120—591no—
1022C2×#120—591no—
1023C2×#120—591no—
1024C2×#120—591no—
1025C2×#120—591no—
1026C2×#120—591no—
1027C2×#120—591no—
1028C2×#120—591no—
1029C2×#120—591no—
1030C2×#120C2×D5911yescharacteristic
1031C2×C4×D4—591no—
1032C2×C4×D4—591no—
1033C22×C4⋊C4—591no—
1034C22×C22⋊C4—591no—
1035C22×C22⋊C4—591no—
1036C22×C22⋊C4—591no—
1037C22×C42—591no—
1038#400—591no—
1039#400—591no—
1040#399—591no—
1041#399—591no—
1042#399—591no—
1043#399C2×D5911yescharacteristic, complemented
1044#398—591no—
1045#398—591no—
1046#397—591no—
1047#397—591no—
1048#397—591no—
1049#397—591no—
1050#396—591no—
1051#396—591no—
1052#396—591no—
1053#396C2×D5911yescharacteristic, complemented
1054#394—591no—
1055#394—591no—
1056#394—591no—
1057#394—591no—
1058#394—591no—
1059#394—591no—
1060#394—591no—
1061#394—591no—
1062#394—591no—
1063#394—591no—
1064#394—591no—
1065#394—591no—
1066#394C2×D5911yescharacteristic
1067#394C2×D5911yescharacteristic
1068#394C2×D5911yescharacteristic, complemented
1069#394C2×D5911yescharacteristic, complemented
1070#393—591no—
1071#393—591no—
1072#392—591no—
1073#392—591no—
1074#392—591no—
1075#392—591no—
1076#392—591no—
1077#392—591no—
1078#392—591no—
1079#392—591no—
1080#392—591no—
1081#392—591no—
1082#392—591no—
1083#392—591no—
1084#392—591no—
1085#392—591no—
1086#391—591no—
1087#390—591no—
1088#390—591no—
1089#390—591no—
1090#390—591no—
1091#390—591no—
1092#390—591no—
1093#390—591no—
1094#390C2×D5911yescharacteristic, complemented
1095#390C2×D5911yescharacteristic, complemented
1096#389—591no—
1097#389—591no—
1098#388—591no—
1099#388—591no—
1100#388—591no—
1101#388—591no—
1102#388—591no—
1103#388—591no—
1104#388—591no—
1105#388—591no—
1106#388—591no—
1107#388—591no—
1108#388—591no—
1109#388—591no—
1110#388—591no—
1111#388C2×D5911yescharacteristic, complemented
1112#388C2×D5911yescharacteristic, complemented
1113#388C2×D5911yescharacteristic, complemented
1114#386—591no—
1115#386—591no—
1116#386—591no—
1117#386—591no—
1118#386—591no—
1119#386—591no—
1120#386—591no—
1121#386—591no—
1122#386—591no—
1123#386—591no—
1124#386—591no—
1125#386—591no—
1126#386—591no—
1127#386—591no—
1128#386—591no—
1129#386—591no—
1130#385—591no—
1131#385—591no—
1132#385—591no—
1133#385—591no—
1134#384—591no—
1135#382—591no—
1136#380—591no—
1137#380—591no—
1138#379—591no—
1139#379—591no—
1140#379C2×D5911yescharacteristic, complemented
1141#379C2×D5911yescharacteristic, complemented
1142C2×#95—591no—
1143C2×#95—591no—
1144C59#3673911yescharacteristic, complemented, Sylow
1145C25—591no—
1146C25—591no—
1147C25C22×D5911yescharacteristic
1148C22×Q8—591no—
1149C22×D4—591no—
1150C22×D4—591no—
1151C22×D4—591no—
1152C22×D4—591no—
1153C22×D4—591no—
1154C22×D4—591no—
1155C22×D4—591no—
1156C22×D4—591no—
1157C22×D4—591no—
1158C22×D4—591no—
1159C22×D4—591no—
1160C22×D4—591no—
1161C22×D4—591no—
1162C22×D4—591no—
1163C22×D4—591no—
1164C22×D4—591no—
1165C22×D4—591no—
1166C22×D4—591no—
1167C22×D4—591no—
1168C22×D4—591no—
1169C22×D4—591no—
1170C22×D4—591no—
1171C22×D4—591no—
1172C22×D4—591no—
1173C22×D4—1184no—
1174C22×D4—1184no—
1175C22×D4—2362no—
1176C22×D4—2362no—
1177C22×D4—2362no—
1178C22×D4—2362no—
1179C22×D4C22×D5911yescharacteristic
1180C22×D4C22×D5911yescharacteristic
1181C22×D4C22×D5911yescharacteristic
1182C23×C4—591no—
1183C23×C4—591no—
1184C23×C4—591no—
1185C23×C4—591no—
1186C23×C4—591no—
1187C23×C4—591no—
1188C23×C4—591no—
1189C23×C4—591no—
1190C23×C4—591no—
1191C23×C4—591no—
1192#127—2362no—
1193#126—24no—
1194#126—1184no—
1195#124—1184no—
1196#124—1184no—
1197#124—2362no—
1198#123—1184no—
1199#123—1184no—
1200#123—1184no—
1201#123—1184no—
1202#123—1184no—
1203#123—1184no—
1204C22⋊Q8—1184no—
1205#121—1184no—
1206#121—1184no—
1207#121—1184no—
1208#121—1184no—
1209#121—1184no—
1210#121—1184no—
1211#121—1184no—
1212#121—2362no—
1213#121—2362no—
1214#121—2362no—
1215#121—2362no—
1216#121—2362no—
1217#121—2362no—
1218#121—2362no—
1219#121—2362no—
1220#121—2362no—
1221#121—2362no—
1222#120—24no—
1223#120—1184no—
1224#120—1184no—
1225#120—1184no—
1226#120—1184no—
1227#120—1184no—
1228#120—2362no—
1229#120—2362no—
1230#120—2362no—
1231#120—2362no—
1232C4×D4—1184no—
1233C4×D4—1184no—
1234C2×C4⋊C4—591no—
1235C2×C4⋊C4—591no—
1236C2×C4⋊C4—591no—
1237C2×C4⋊C4—591no—
1238C2×C4⋊C4—591no—
1239C2×C4⋊C4—591no—
1240C2×C4⋊C4—591no—
1241C2×C4⋊C4—591no—
1242C2×C4⋊C4—591no—
1243C2×C4⋊C4—591no—
1244C2×C4⋊C4—591no—
1245C2×C4⋊C4—591no—
1246C2×C4⋊C4—591no—
1247C2×C4⋊C4—591no—
1248C2×C4⋊C4—591no—
1249C2×C4⋊C4—591no—
1250C2×C4⋊C4—2362no—
1251C2×C4⋊C4C22×D5911yescharacteristic
1252C2×C4⋊C4C22×D5911yescharacteristic
1253C2×C4⋊C4C22×D5911yescharacteristic
1254C2×C4⋊C4C22×D5911yescharacteristic
1255C2×C4⋊C4C22×D5911yescharacteristic
1256C2×C4⋊C4C22×D5911yescharacteristic
1257C2×C22⋊C4—591no—
1258C2×C22⋊C4—591no—
1259C2×C22⋊C4—591no—
1260C2×C22⋊C4—598no—
1261C2×C22⋊C4—591no—
1262C2×C22⋊C4—591no—
1263C2×C22⋊C4—591no—
1264C2×C22⋊C4—591no—
1265C2×C22⋊C4—591no—
1266C2×C22⋊C4—591no—
1267C2×C22⋊C4—591no—
1268C2×C22⋊C4—591no—
1269C2×C22⋊C4—591no—
1270C2×C22⋊C4—591no—
1271C2×C22⋊C4—591no—
1272C2×C22⋊C4—591no—
1273C2×C22⋊C4—591no—
1274C2×C22⋊C4—591no—
1275C2×C22⋊C4—591no—
1276C2×C22⋊C4—591no—
1277C2×C22⋊C4—591no—
1278C2×C22⋊C4—591no—
1279C2×C22⋊C4—591no—
1280C2×C22⋊C4—591no—
1281C2×C22⋊C4—591no—
1282C2×C22⋊C4—591no—
1283C2×C22⋊C4—591no—
1284C2×C22⋊C4—591no—
1285C2×C22⋊C4—591no—
1286C2×C22⋊C4—591no—
1287C2×C22⋊C4—591no—
1288C2×C22⋊C4—591no—
1289C2×C22⋊C4—591no—
1290C2×C22⋊C4—591no—
1291C2×C22⋊C4—591no—
1292C2×C22⋊C4—591no—
1293C2×C22⋊C4—591no—
1294C2×C22⋊C4—591no—
1295C2×C22⋊C4—591no—
1296C2×C22⋊C4—591no—
1297C2×C22⋊C4—591no—
1298C2×C22⋊C4—591no—
1299C2×C22⋊C4—591no—
1300C2×C22⋊C4—591no—
1301C2×C22⋊C4—2362no—
1302C2×C22⋊C4—2362no—
1303C2×C22⋊C4C22×D5911yescharacteristic
1304C2×C22⋊C4C22×D5911yescharacteristic
1305C2×C22⋊C4C22×D5911yescharacteristic
1306C2×C22⋊C4C22×D5911yescharacteristic
1307C2×C22⋊C4C22×D5911yescharacteristic
1308C2×C22⋊C4C22×D5911yescharacteristic
1309C2×C22⋊C4C22×D5911yescharacteristic
1310C2×C22⋊C4C22×D5911yescharacteristic
1311C2×C22⋊C4C22×D5911yescharacteristic
1312C2×C22⋊C4C22×D5911yescharacteristic
1313C2×C22⋊C4C22×D5911yescharacteristic
1314C2×C22⋊C4C22×D5911yescharacteristic
1315C2×C22⋊C4C22×D5911yescharacteristic
1316C2×C22⋊C4C22×D5911yescharacteristic
1317C2×C22⋊C4C22×D5911yescharacteristic
1318C2×C22⋊C4C22×D5911yescharacteristic
1319C2×C22⋊C4C22×D5911yescharacteristic
1320C2×C22⋊C4C22×D5911yescharacteristic
1321C2×C22⋊C4C22×D5911yescharacteristic
1322C2×C42—591no—
1323C2×C42—591no—
1324C2×C42—591no—
1325C2×C42—591no—
1326C2×C42—2362no—
1327C2×C42C22×D5911yescharacteristic
1328C2×C42C22×D5911yescharacteristic
1329#95—591no—
1330#95—591no—
1331#95—591no—
1332#95—591no—
1333#95—591no—
1334#95—591no—
1335#95—591no—
1336#95—591no—
1337#95—591no—
1338#95—591no—
1339#95—591no—
1340#95—591no—
1341#95—591no—
1342#95—591no—
1343#95—591no—
1344#95—591no—
1345#95—591no—
1346#95—591no—
1347#95—591no—
1348#95—591no—
1349#95C22×D5911yescharacteristic
1350#95C22×D5911yescharacteristic
1351#95C22×D5911yescharacteristic
1352#95C22×D5911yescharacteristic
1353C24—22no—
1354C24—41no—
1355C24—41no—
1356C24—41no—
1357C24—41no—
1358C24—41no—
1359C24—41no—
1360C24—591no—
1361C24—591no—
1362C24—594no—
1363C24—591no—
1364C24—591no—
1365C24—591no—
1366C24—1182no—
1367C24—1182no—
1368C24—1182no—
1369C24—2361no—
1370C24—2361no—
1371C24—2361no—
1372C24—2361no—
1373C24—2361no—
1374C24—2361no—
1375C24—2361no—
1376C24—2361no—
1377C24—2361no—
1378C24—2361no—
1379C24C23×D5911yescharacteristic
1380C24C23×D5911yescharacteristic
1381C24C23×D5911yescharacteristic
1382C24C23×D5911yescharacteristic
1383C2×Q8—1182no—
1384C2×Q8—2361no—
1385C2×Q8—2361no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—22no—
1389C2×D4—41no—
1390C2×D4—41no—
1391C2×D4—41no—
1392C2×D4—41no—
1393C2×D4—41no—
1394C2×D4—41no—
1395C2×D4—1182no—
1396C2×D4—1182no—
1397C2×D4—1182no—
1398C2×D4—1182no—
1399C2×D4—1182no—
1400C2×D4—1182no—
1401C2×D4—1182no—
1402C2×D4—1182no—
1403C2×D4—1182no—
1404C2×D4—1182no—
1405C2×D4—1182no—
1406C2×D4—1182no—
1407C2×D4—1182no—
1408C2×D4—1182no—
1409C2×D4—1182no—
1410C2×D4—1182no—
1411C2×D4—1182no—
1412C2×D4—1182no—
1413C2×D4—1182no—
1414C2×D4—1182no—
1415C2×D4—1182no—
1416C2×D4—1182no—
1417C2×D4—1182no—
1418C2×D4—1182no—
1419C2×D4—1182no—
1420C2×D4—1182no—
1421C2×D4—1182no—
1422C2×D4—1182no—
1423C2×D4—1182no—
1424C2×D4—1182no—
1425C2×D4—1182no—
1426C2×D4—1182no—
1427C2×D4—2361no—
1428C2×D4—2361no—
1429C2×D4—2361no—
1430C2×D4—2361no—
1431C2×D4—2361no—
1432C2×D4—2361no—
1433C2×D4—2361no—
1434C2×D4—2361no—
1435C2×D4—2361no—
1436C2×D4—2361no—
1437C2×D4—2361no—
1438C2×D4—2361no—
1439C2×D4—2361no—
1440C2×D4—2361no—
1441C2×D4—2361no—
1442C2×D4—2361no—
1443C2×D4—2361no—
1444C2×D4—2361no—
1445C2×D4—2361no—
1446C2×D4—2361no—
1447C2×D4—2361no—
1448C2×D4—2361no—
1449C2×D4—2361no—
1450C2×D4—2361no—
1451C2×D4—2361no—
1452C2×D4—2361no—
1453C2×D4—2361no—
1454C2×D4—2361no—
1455C2×D4—2361no—
1456C2×D4—2361no—
1457C2×D4—2361no—
1458C2×D4—2361no—
1459C2×D4—2361no—
1460C2×D4—2361no—
1461C2×D4—2361no—
1462C2×D4—2361no—
1463C2×D4—2361no—
1464C2×D4—2361no—
1465C2×D4—2361no—
1466C2×D4—2361no—
1467C2×D4—23616no—
1468C2×D4—23616no—
1469C22×C4—591no—
1470C22×C4—591no—
1471C22×C4—591no—
1472C22×C4—591no—
1473C22×C4—594no—
1474C22×C4—594no—
1475C22×C4—591no—
1476C22×C4—591no—
1477C22×C4—591no—
1478C22×C4—591no—
1479C22×C4—591no—
1480C22×C4—591no—
1481C22×C4—591no—
1482C22×C4—1182no—
1483C22×C4—1182no—
1484C22×C4—1182no—
1485C22×C4—1182no—
1486C22×C4—1182no—
1487C22×C4—1182no—
1488C22×C4—1182no—
1489C22×C4—1182no—
1490C22×C4—1182no—
1491C22×C4—1182no—
1492C22×C4—2361no—
1493C22×C4—2361no—
1494C22×C4—2361no—
1495C22×C4—2361no—
1496C22×C4—2361no—
1497C22×C4—2361no—
1498C22×C4—2361no—
1499C22×C4—2361no—
1500C22×C4—2361no—
1501C22×C4—2361no—
1502C22×C4—2361no—
1503C22×C4—2361no—
1504C22×C4—2361no—
1505C22×C4—2361no—
1506C22×C4—2361no—
1507C22×C4—2361no—
1508C22×C4—2361no—
1509C22×C4—2361no—
1510C22×C4C23×D5911yescharacteristic
1511C22×C4C23×D5911yescharacteristic
1512C22×C4C23×D5911yescharacteristic
1513C22×C4C23×D5911yescharacteristic
1514C22×C4C23×D5911yescharacteristic
1515C22×C4C23×D5911yescharacteristic
1516C22×C4C23×D5911yescharacteristic
1517C22×C4C23×D5911yescharacteristic
1518C22×C4C23×D5911yescharacteristic
1519C22×C4C23×D5911yescharacteristic
1520C22×C4C23×D5911yescharacteristic
1521C4⋊C4—22no—
1522C4⋊C4—22no—
1523C4⋊C4—22no—
1524C4⋊C4—41no—
1525C4⋊C4—41no—
1526C4⋊C4—41no—
1527C4⋊C4—1182no—
1528C4⋊C4—1182no—
1529C4⋊C4—1182no—
1530C4⋊C4—1182no—
1531C4⋊C4—1182no—
1532C4⋊C4—1182no—
1533C4⋊C4—1182no—
1534C4⋊C4—1182no—
1535C4⋊C4—1182no—
1536C4⋊C4—2361no—
1537C4⋊C4—2361no—
1538C4⋊C4—2361no—
1539C4⋊C4—2361no—
1540C4⋊C4—2361no—
1541C4⋊C4—2361no—
1542C4⋊C4—2361no—
1543C22⋊C4—22no—
1544C22⋊C4—22no—
1545C22⋊C4—22no—
1546C22⋊C4—22no—
1547C22⋊C4—41no—
1548C22⋊C4—41no—
1549C22⋊C4—41no—
1550C22⋊C4—41no—
1551C22⋊C4—41no—
1552C22⋊C4—41no—
1553C22⋊C4—41no—
1554C22⋊C4—41no—
1555C22⋊C4—41no—
1556C22⋊C4—41no—
1557C22⋊C4—41no—
1558C22⋊C4—41no—
1559C22⋊C4—41no—
1560C22⋊C4—41no—
1561C22⋊C4—594no—
1562C22⋊C4—594no—
1563C22⋊C4—594no—
1564C22⋊C4—1182no—
1565C22⋊C4—1182no—
1566C22⋊C4—1182no—
1567C22⋊C4—1182no—
1568C22⋊C4—1182no—
1569C22⋊C4—1182no—
1570C22⋊C4—1182no—
1571C22⋊C4—1182no—
1572C22⋊C4—1182no—
1573C22⋊C4—1182no—
1574C22⋊C4—1182no—
1575C22⋊C4—1182no—
1576C22⋊C4—1182no—
1577C22⋊C4—1182no—
1578C22⋊C4—1182no—
1579C22⋊C4—1182no—
1580C22⋊C4—1182no—
1581C22⋊C4—1182no—
1582C22⋊C4—1182no—
1583C22⋊C4—1182no—
1584C22⋊C4—1182no—
1585C22⋊C4—1182no—
1586C22⋊C4—2361no—
1587C22⋊C4—2361no—
1588C22⋊C4—2361no—
1589C22⋊C4—2361no—
1590C22⋊C4—2361no—
1591C22⋊C4—2361no—
1592C22⋊C4—2361no—
1593C22⋊C4—2361no—
1594C22⋊C4—2361no—
1595C22⋊C4—2361no—
1596C22⋊C4—2361no—
1597C22⋊C4—2361no—
1598C22⋊C4—2361no—
1599C22⋊C4—2361no—
1600C22⋊C4—2361no—
1601C22⋊C4—2361no—
1602C22⋊C4—2361no—
1603C22⋊C4—2361no—
1604C22⋊C4D4×D5914yes—
1605C42—22no—
1606C42—41no—
1607C42—1182no—
1608C42—1182no—
1609C42—1182no—
1610C42—2361no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—44no—
1639C23—82no—
1640C23—82no—
1641C23—82no—
1642C23—82no—
1643C23—82no—
1644C23—82no—
1645C23—592no—
1646C23—592no—
1647C23—592no—
1648C23—592no—
1649C23—1188no—
1650C23—1181no—
1651C23—1181no—
1652C23—1181no—
1653C23—1181no—
1654C23—1181no—
1655C23—1181no—
1656C23—1181no—
1657C23—1181no—
1658C23—1181no—
1659C23—1181no—
1660C23—1181no—
1661C23—1181no—
1662C23—1181no—
1663C23—1181no—
1664C23—1181no—
1665C23—1181no—
1666C23—1181no—
1667C23—1181no—
1668C23—1181no—
1669C23—1181no—
1670C23—1181no—
1671C23—1181no—
1672C23—1181no—
1673C23—1181no—
1674C23—1181no—
1675C23—1181no—
1676C23—1181no—
1677C23—1181no—
1678C23—1181no—
1679C23—1181no—
1680C23—1181no—
1681C23—4722no—
1682C23—4722no—
1683C23—4722no—
1684C23—4722no—
1685C23—4722no—
1686C23—4722no—
1687C23—4722no—
1688C23—4722no—
1689C23—4722no—
1690C23—4722no—
1691C23—2364no—
1692C23—2364no—
1693C23—2364no—
1694C23C2×D4×D5912yes—
1695C23C24×D5911yescharacteristic
1696Q8—4722no—
1697D4—44no—
1698D4—82no—
1699D4—82no—
1700D4—4722no—
1701D4—4722no—
1702D4—4722no—
1703D4—4722no—
1704D4—4722no—
1705D4—4722no—
1706D4—4722no—
1707D4—4722no—
1708D4—4722no—
1709D4—4722no—
1710D4—4722no—
1711D4—4722no—
1712D4—4722no—
1713D4—4722no—
1714D4—4722no—
1715D4—2364no—
1716D4—2364no—
1717D4—2364no—
1718D4—2364no—
1719D4—2364no—
1720D4—2364no—
1721D4—2364no—
1722D4—2364no—
1723D4—2364no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—592no—
1756C2×C4—592no—
1757C2×C4—592no—
1758C2×C4—592no—
1759C2×C4—1181no—
1760C2×C4—1181no—
1761C2×C4—1181no—
1762C2×C4—1181no—
1763C2×C4—1181no—
1764C2×C4—1181no—
1765C2×C4—1181no—
1766C2×C4—1181no—
1767C2×C4—1181no—
1768C2×C4—1181no—
1769C2×C4—1181no—
1770C2×C4—1181no—
1771C2×C4—1181no—
1772C2×C4—1181no—
1773C2×C4—1181no—
1774C2×C4—1181no—
1775C2×C4—1181no—
1776C2×C4—1181no—
1777C2×C4—1181no—
1778C2×C4—1181no—
1779C2×C4—1181no—
1780C2×C4—1181no—
1781C2×C4—1181no—
1782C2×C4—1181no—
1783C2×C4—1181no—
1784C2×C4—1181no—
1785C2×C4—1181no—
1786C2×C4—1181no—
1787C2×C4—1181no—
1788C2×C4—4722no—
1789C2×C4—4722no—
1790C2×C4—4722no—
1791C2×C4—4722no—
1792C2×C4—2364no—
1793C2×C4—2364no—
1794C2×C4—2364no—
1795C2×C4—2364no—
1796C2×C4—2364no—
1797C2×C4—2364no—
1798C2×C4C2×D4×D5912yes—
1799C2×C4C2×D4×D5912yes—
1800C22—22no—
1801C22—22no—
1802C22—22no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—88no—
1829C22—594no—
1830C22—1182no—
1831C22—1182no—
1832C22—1182no—
1833C22—1182no—
1834C22—1182no—
1835C22—1182no—
1836C22—1182no—
1837C22—1182no—
1838C22—1182no—
1839C22—4728no—
1840C22—4728no—
1841C22—2361no—
1842C22—2361no—
1843C22—2361no—
1844C22—2361no—
1845C22—2361no—
1846C22—2361no—
1847C22—2361no—
1848C22—2361no—
1849C22—2361no—
1850C22—2361no—
1851C22—2361no—
1852C22—2361no—
1853C22—2361no—
1854C22—2361no—
1855C22—2361no—
1856C22—2361no—
1857C22—2361no—
1858C22—2361no—
1859C22—2361no—
1860C22—2361no—
1861C22—2361no—
1862C22—2361no—
1863C22—2361no—
1864C22—2361no—
1865C22—2361no—
1866C22C22×D4×D5911yescharacteristic
1867C22H(5,𝔽2)×D5911yescharacteristic
1868C22H(5,𝔽2)×D5911yescharacteristic
1869C22H(5,𝔽2)×D5911yescharacteristic
1870C22H(5,𝔽2)×D5911yescharacteristic
1871C22#1683823811yescharacteristic
1872C22#1683823811yescharacteristic
1873C4—22no—
1874C4—22no—
1875C4—41no—
1876C4—41no—
1877C4—41no—
1878C4—41no—
1879C4—41no—
1880C4—41no—
1881C4—41no—
1882C4—41no—
1883C4—41no—
1884C4—1182no—
1885C4—1182no—
1886C4—1182no—
1887C4—1182no—
1888C4—2361no—
1889C4—2361no—
1890C4—2361no—
1891C4—2361no—
1892C4—2361no—
1893C4—2361no—
1894C4—2361no—
1895C2—42no—
1896C2—81no—
1897C2—81no—
1898C2—81no—
1899C2—1184no—
1900C2—4721no—
1901C2—4721no—
1902C2—4721no—
1903C2—2362no—
1904C2#535×D5911yescharacteristic
1905C2#2143785611yescharacteristic
1906C2#2143785611yescharacteristic
1907C2#2143828511yescharacteristic
1908C2#2143833011yescharacteristic
1909C2#2143860711yescharacteristic
1910C2#2143864311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2685C2
hypercenter#2685D59
hypocenterC59#36739
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2685

Complements

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

NH ≅ G/Ntype
1. C2×#16837991C2semidirect
2. C2×#16837962C2semidirect
3. #21432440C2semidirect
4. #21432394C2semidirect
5. #21430940C2semidirect
6. #21430939C2semidirect
7. #21430844C2semidirect
8. #21430841C2semidirect
9. #21430790C2semidirect
10. #21430789C2semidirect
11. #21430737C2semidirect
12. #21430734C2semidirect
13. #21430482C2semidirect
14. #21430428C2semidirect
15. #21430425C2semidirect
16. #21430322C2semidirect
17. #21430319C2semidirect
18. #21430312C2semidirect
19. #21430310C2semidirect
20. #21430199C2semidirect
21. #21430027C2semidirect
22. #21429061C2semidirect
23. #21429059C2semidirect
24. #21427539C2semidirect
25. #21427531C2semidirect
26. #21427472C2semidirect
27. #21427472C2semidirect
28. #21427465C2semidirect
29. #21427465C2semidirect
30. #388×D59C2semidirect
31. C59×#2685C2semidirect
36. C2×#14273723C22semidirect
37. C2×#14273722C22semidirect
38. C2×#14273715C22semidirect
39. C2×#14273713C22semidirect
40. C2×#14273713C22semidirect
41. C2×#14273712C22semidirect
45. C2×#14273709C22semidirect
47. C2×#14273705C22semidirect
48. C2×#14273702C22semidirect
49. C2×#14273702C22semidirect
50. C2×#14273702C22semidirect
51. C2×#14273702C22semidirect
54. C2×#14273700C22semidirect
55. C2×#14273700C22semidirect
56. C2×#14273700C22semidirect
57. C2×#14273700C22semidirect
58. C2×#14273700C22semidirect
59. C2×#14273700C22semidirect
60. C2×#14273700C22semidirect
61. C2×#14273700C22semidirect
64. C2×#14273698C22semidirect
67. C2×#14273697C22semidirect
68. C2×#14273697C22semidirect
70. C2×#14273696C22semidirect
71. C2×#14273696C22semidirect
74. C2×C4×D236C22semidirect
75. C2×#14273689C22semidirect
76. C2×C4⋊C4×D59C22semidirect
80. C2×C42×D59C22semidirect
81. #16837342C22semidirect
82. #16837341C22semidirect
83. #16837337C22semidirect
84. #16837337C22semidirect
85. #16837337C22semidirect
86. #16837335C22semidirect
87. #16837332C22semidirect
88. #16837331C22semidirect
89. #16837330C22semidirect
90. #16837330C22semidirect
91. #16837329C22semidirect
92. #16837325C22semidirect
93. #16837325C22semidirect
94. #16837324C22semidirect
95. #16837319C22semidirect
96. #16837318C22semidirect
97. #16837318C22semidirect
104. #16837317C22semidirect
105. #16837317C22semidirect
106. #16837316C22semidirect
107. #16837314C22semidirect
108. #16837314C22semidirect
109. #16837312C22semidirect
116. #16837311C22semidirect
117. #16837311C22semidirect
118. #16837311C22semidirect
119. #16837311C22semidirect
122. #16837310C22semidirect
123. #16837306C22semidirect
124. #16837304C22semidirect
125. #16837302C22semidirect
126. #16837302C22semidirect
127. #16837302C22semidirect
128. #16837302C22semidirect
129. #16837302C22semidirect
130. #16837302C22semidirect
131. #16837300C22semidirect
132. #16837297C22semidirect
133. #16837296C22semidirect
134. #16837296C22semidirect
135. #16837296C22semidirect
136. #16837296C22semidirect
137. #16837295C22semidirect
138. #16837294C22semidirect
139. #16837293C22semidirect
140. #16837293C22semidirect
141. #16837293C22semidirect
142. #16837292C22semidirect
143. #16837292C22semidirect
144. #16837291C22semidirect
145. #16837290C22semidirect
146. #16837280C22semidirect
147. #16837280C22semidirect
148. #16837280C22semidirect
149. #16837280C22semidirect
150. #16837280C22semidirect
151. #16837279C22semidirect
152. #16837279C22semidirect
153. #16837278C22semidirect
154. #16837278C22semidirect
155. #16837278C22semidirect
156. #16837278C22semidirect
157. #16837278C22semidirect
158. #16837278C22semidirect
159. #16837278C22semidirect
160. #16837278C22semidirect
161. #16837278C22semidirect
162. #16837274C22semidirect
163. #16837274C22semidirect
164. #16837273C22semidirect
165. #16837273C22semidirect
166. #16837271C22semidirect
167. #16837266C22semidirect
168. #16837261C22semidirect
169. #16837259C22semidirect
170. #16837257C22semidirect
171. #16837257C22semidirect
172. #95×D59C22semidirect
173. #95×D59C22semidirect
174. C2×#126×C59C22semidirect
176. C59×#399C22semidirect
177. C59×#396C22semidirect
180. C59×#394C22semidirect
181. C59×#394C22semidirect
182. C59×#390C22semidirect
183. C59×#390C22semidirect
184. C59×#388C22semidirect
185. C59×#388C22semidirect
186. C59×#388C22semidirect
187. C59×#379C22semidirect
188. C59×#379C22semidirect
334. C22⋊C4×D59D4semidirect
953. #2685D59semidirect
993. C2×#126C2×D59semidirect
1043. #399C2×D59semidirect
1053. #396C2×D59semidirect
1068. #394C2×D59semidirect
1069. #394C2×D59semidirect
1094. #390C2×D59semidirect
1095. #390C2×D59semidirect
1111. #388C2×D59semidirect
1112. #388C2×D59semidirect
1113. #388C2×D59semidirect
1140. #379C2×D59semidirect
1141. #379C2×D59semidirect
1144. C59#36739semidirect

Maximal subgroups

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

subgroupindex
C2×#168379912
C2×#168379622
#214324402
#214323942
#214309402
#214309392
#214308442
#214308412
#214307902
#214307892
#214307372
#214307342
#214304822
#214304282
#214304252
#214303222
#214303192
#214303122
#214303102
#214301992
#214300272
#214290612
#214290592
#214275392
#214275312
#214274722
#214274652
#388×D592
C59×#26852
#3673959