Finite Group Databasebeta

← #28796082

Subgroups — #28796082

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×#16837984C211yesmaximal, characteristic, complemented
2C2×#16837963C211yesmaximal, characteristic, complemented
3#21432440C211yesmaximal, characteristic, complemented
4#21432394C211yesmaximal, characteristic, complemented
5#21430945C211yesmaximal, characteristic, complemented
6#21430942C211yesmaximal, characteristic, complemented
7#21430843C211yesmaximal, characteristic, complemented
8#21430838C211yesmaximal, characteristic, complemented
9#21430787C211yesmaximal, characteristic, complemented
10#21430784C211yesmaximal, characteristic, complemented
11#21430736C211yesmaximal, characteristic, complemented
12#21430485C211yesmaximal, characteristic, complemented
13#21430484C211yesmaximal, characteristic, complemented
14#21430423C211yesmaximal, characteristic, complemented
15#21430422C211yesmaximal, characteristic, complemented
16#21430324C211yesmaximal, characteristic, complemented
17#21430321C211yesmaximal, characteristic, complemented
18#21430308C211yesmaximal, characteristic, complemented
19#21430307C211yesmaximal, characteristic, complemented
20#21430197C211yesmaximal, characteristic, complemented
21#21430028C211yesmaximal, characteristic, complemented
22#21429055C211yesmaximal, characteristic, complemented
23#21429053C211yesmaximal, characteristic, complemented
24#21427538C211yesmaximal, characteristic, complemented
25#21427529C211yesmaximal, characteristic, complemented
26#21427473C211yesmaximal, characteristic, complemented
27#21427473C211yesmaximal, characteristic, complemented
28#21427463C211yesmaximal, characteristic, complemented
29#21427463C211yesmaximal, characteristic, complemented
30#388×D59C211yesmaximal, characteristic, complemented
31C59×#2703C211yesmaximal, characteristic, complemented
32C23×D236C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34#16837984—28no—
35#16837963—28no—
36C2×#14273723C2211yescharacteristic, complemented
37C2×#14273722C2211yescharacteristic, complemented
38C2×#14273720C2211yescharacteristic, complemented
39C2×#14273714C2211yescharacteristic, complemented
40C2×#14273713C2211yescharacteristic, complemented
41C2×#14273713C2211yescharacteristic, complemented
42C2×#14273712C2211yescharacteristic
43C2×#14273712C2211yescharacteristic
44C2×#14273710C2211yescharacteristic
45C2×#14273710C2211yescharacteristic, complemented
46C2×#14273708C2211yescharacteristic, complemented
47C2×#14273705C2211yescharacteristic, complemented
48C2×#14273702C2211yescharacteristic
49C2×#14273702C2211yescharacteristic
50C2×#14273701C2211yescharacteristic, complemented
51C2×#14273700C2211yescharacteristic
52C2×#14273700C2211yescharacteristic
53C2×#14273700C2211yescharacteristic, complemented
54C2×#14273700C2211yescharacteristic, complemented
55C2×#14273700C2211yescharacteristic, complemented
56C2×#14273700C2211yescharacteristic, complemented
57C2×#14273700C2211yescharacteristic, complemented
58C2×#14273700C2211yescharacteristic, complemented
59C2×#14273699C2211yescharacteristic, complemented
60C2×#14273699C2211yescharacteristic, complemented
61C2×#14273698C2211yescharacteristic, complemented
62C2×#14273698C2211yescharacteristic, complemented
63C2×#14273698C2211yescharacteristic, complemented
64C2×#14273697C2211yescharacteristic
65C2×#14273697C2211yescharacteristic
66C2×#14273697C2211yescharacteristic
67C2×#14273695C2211yescharacteristic
68C2×#14273695C2211yescharacteristic
69C2×#14273695C2211yescharacteristic
70C2×#14273695C2211yescharacteristic, complemented
71C2×#14273695C2211yescharacteristic, complemented
72C2×#14273695C2211yescharacteristic, complemented
73C2×#14273695C2211yescharacteristic, complemented
74C2×C4×C22⋊D59C2211yescharacteristic, complemented
75C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
76C2×C4⋊C4×D59C2211yescharacteristic, complemented
77C2×C22⋊C4×D59C2211yescharacteristic
78C2×C22⋊C4×D59C2211yescharacteristic
79C2×C22⋊C4×D59C2211yescharacteristic
80C2×C42×D59C2211yescharacteristic, complemented
81#16837340C2211yescharacteristic, complemented
82#16837339C2211yescharacteristic, complemented
83#16837338C2211yescharacteristic, complemented
84#16837338C2211yescharacteristic, complemented
85#16837338C2211yescharacteristic, complemented
86#16837336C2211yescharacteristic, complemented
87#16837333C2211yescharacteristic, complemented
88#16837331C2211yescharacteristic, complemented
89#16837331C2211yescharacteristic, complemented
90#16837330C2211yescharacteristic, complemented
91#16837326C2211yescharacteristic, complemented
92#16837326C2211yescharacteristic, complemented
93#16837325C2211yescharacteristic, complemented
94#16837324C2211yescharacteristic, complemented
95#16837320C2211yescharacteristic
96#16837320C2211yescharacteristic
97#16837320C2211yescharacteristic
98#16837320C2211yescharacteristic
99#16837320C2211yescharacteristic, complemented
100#16837320C2211yescharacteristic, complemented
101#16837319C2211yescharacteristic, complemented
102#16837318C2211yescharacteristic
103#16837318C2211yescharacteristic
104#16837318C2211yescharacteristic, complemented
105#16837317C2211yescharacteristic, complemented
106#16837317C2211yescharacteristic, complemented
107#16837317C2211yescharacteristic, complemented
108#16837316C2211yescharacteristic
109#16837316C2211yescharacteristic
110#16837315C2211yescharacteristic, complemented
111#16837315C2211yescharacteristic, complemented
112#16837311C2211yescharacteristic
113#16837311C2211yescharacteristic
114#16837311C2211yescharacteristic
115#16837311C2211yescharacteristic
116#16837311C2211yescharacteristic, complemented
117#16837310C2211yescharacteristic
118#16837310C2211yescharacteristic
119#16837310C2211yescharacteristic, complemented
120#16837310C2211yescharacteristic, complemented
121#16837310C2211yescharacteristic, complemented
122#16837310C2211yescharacteristic, complemented
123#16837306C2211yescharacteristic, complemented
124#16837304C2211yescharacteristic, complemented
125#16837303C2211yescharacteristic, complemented
126#16837302C2211yescharacteristic, complemented
127#16837302C2211yescharacteristic, complemented
128#16837302C2211yescharacteristic, complemented
129#16837302C2211yescharacteristic, complemented
130#16837302C2211yescharacteristic, complemented
131#16837302C2211yescharacteristic, complemented
132#16837299C2211yescharacteristic, complemented
133#16837298C2211yescharacteristic, complemented
134#16837296C2211yescharacteristic, complemented
135#16837296C2211yescharacteristic, complemented
136#16837295C2211yescharacteristic, complemented
137#16837294C2211yescharacteristic, complemented
138#16837294C2211yescharacteristic, complemented
139#16837293C2211yescharacteristic, complemented
140#16837293C2211yescharacteristic, complemented
141#16837292C2211yescharacteristic, complemented
142#16837292C2211yescharacteristic, complemented
143#16837291C2211yescharacteristic, complemented
144#16837291C2211yescharacteristic, complemented
145#16837291C2211yescharacteristic, complemented
146#16837290C2211yescharacteristic, complemented
147#16837290C2211yescharacteristic, complemented
148#16837281C2211yescharacteristic, complemented
149#16837280C2211yescharacteristic, complemented
150#16837280C2211yescharacteristic, complemented
151#16837280C2211yescharacteristic, complemented
152#16837280C2211yescharacteristic, complemented
153#16837280C2211yescharacteristic, complemented
154#16837280C2211yescharacteristic, complemented
155#16837279C2211yescharacteristic, complemented
156#16837279C2211yescharacteristic, complemented
157#16837278C2211yescharacteristic, complemented
158#16837278C2211yescharacteristic, complemented
159#16837278C2211yescharacteristic, complemented
160#16837278C2211yescharacteristic, complemented
161#16837276C2211yescharacteristic, complemented
162#16837276C2211yescharacteristic, complemented
163#16837275C2211yescharacteristic, complemented
164#16837275C2211yescharacteristic, complemented
165#16837271C2211yescharacteristic, complemented
166#16837266C2211yescharacteristic, complemented
167#16837260C2211yescharacteristic, complemented
168#16837257C2211yescharacteristic, complemented
169#16837257C2211yescharacteristic, complemented
170#16837257C2211yescharacteristic, complemented
171#16837257C2211yescharacteristic, complemented
172#95×D59C2211yescharacteristic, complemented
173#95×D59C2211yescharacteristic, complemented
174C2×#123×C59C2211yescharacteristic
175C2×#121×C59C2211yescharacteristic, complemented
176C59×#400C2211yescharacteristic, complemented
177C59×#397C2211yescharacteristic, complemented
178C59×#394C2211yescharacteristic, complemented
179C59×#392C2211yescharacteristic
180C59×#392C2211yescharacteristic
181C59×#392C2211yescharacteristic, complemented
182C59×#390C2211yescharacteristic, complemented
183C59×#388C2211yescharacteristic, complemented
184C59×#388C2211yescharacteristic, complemented
185C59×#386C2211yescharacteristic, complemented
186C59×#386C2211yescharacteristic, complemented
187C59×#386C2211yescharacteristic, complemented
188C59×#380C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C24×D59C2311yescharacteristic
191C24×D59C2311yescharacteristic
192C22×Dic118C2311yescharacteristic
193C22×D236—24no—
194C22×D236—42no—
195C22×D236—42no—
196C22×D236C2311yescharacteristic
197C22×D236C2311yescharacteristic
198C22×D236C2311yescharacteristic
199C22×D236C2311yescharacteristic
200C22×D236C2311yescharacteristic
201C22×D236C2311yescharacteristic
202C22×D236C2311yescharacteristic
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
217C2×D4×D59—24no—
218C2×D4×D59—42no—
219C2×D4×D59—42no—
220C23×Dic59C2311yescharacteristic
221C22×C4×D59C2311yescharacteristic
222C22×C4×D59C2311yescharacteristic
223C22×C4×D59C2311yescharacteristic
224C22×C4×D59C2311yescharacteristic
225C22×C4×D59C2311yescharacteristic
226C22×C4×D59C2311yescharacteristic
227C22×C4×D59C2311yescharacteristic
228#14273723—42no—
229#14273722—24no—
230#14273720—24no—
231#14273714—24no—
232#14273713—24no—
233#14273713—42no—
234#14273712—24no—
235#14273712—24no—
236#14273710—24no—
237#14273710—24no—
238#14273708—24no—
239#14273705—24no—
240#14273702—24no—
241#14273702—24no—
242#14273701—42no—
243#14273700—24no—
244#14273700—24no—
245#14273700—42no—
246#14273700—42no—
247#14273700—42no—
248#14273700—42no—
249#14273700—42no—
250#14273700—42no—
251#14273699—24no—
252#14273699—42no—
253#14273698—24no—
254#14273698—42no—
255#14273698—42no—
256#14273697—24no—
257#14273697—24no—
258#14273697—24no—
259#14273695—24no—
260#14273695—24no—
261#14273695—24no—
262#14273695—42no—
263#14273695—42no—
264#14273695—42no—
265#14273695—42no—
266C4×C22⋊D59—24no—
267(C22⋊D59)⋊C4—24no—
268C2×C4⋊Dic59C2311yescharacteristic
269C2×C4⋊Dic59C2311yescharacteristic
270C2×C4⋊Dic59C2311yescharacteristic
271C2×C4⋊Dic59C2311yescharacteristic
272C2×Dic59⋊C4C2311yescharacteristic
273C2×Dic59⋊C4C2311yescharacteristic
274C2×Dic59⋊C4C2311yescharacteristic
275C2×Dic59⋊C4C2311yescharacteristic
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
286C4⋊C4×D59—42no—
287C2×C22⋊Dic59C2311yescharacteristic
288C2×C22⋊Dic59C2311yescharacteristic
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×(C2×D59)⋊C4C2311yescharacteristic
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
332C2×(C2×D59)⋊C4C2311yescharacteristic
333C2×(C2×D59)⋊C4C2311yescharacteristic
334C2×(C2×D59)⋊C4C2311yescharacteristic
335C22⋊C4×D59—42no—
336C22⋊C4×D59—42no—
337C22⋊C4×D59D418yescomplemented
338C2×C4×Dic59C2311yescharacteristic
339C2×C4×Dic59C2311yescharacteristic
340C2×C4×Dic59C2311yescharacteristic
341C2×C4×Dic59C2311yescharacteristic
342C2×C4×Dic59C2311yescharacteristic
343C42×D59—42no—
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
360C22×D4×C59C2311yescharacteristic
361C22×D4×C59C2311yescharacteristic
362C22×D4×C59C2311yescharacteristic
363C22×D4×C59C2311yescharacteristic
364C22×D4×C59C2311yescharacteristic
365C22×D4×C59C2311yescharacteristic
366C23×C4×C59C2311yescharacteristic
367C23×C4×C59C2311yescharacteristic
368#123×C59—24no—
369#121×C59—24no—
370C2×C4⋊C4×C59C2311yescharacteristic
371C2×C4⋊C4×C59C2311yescharacteristic
372C2×C4⋊C4×C59C2311yescharacteristic
373C2×C4⋊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×C42×C59C2311yescharacteristic
389#95×C59C2311yescharacteristic
390#95×C59C2311yescharacteristic
391#95×C59C2311yescharacteristic
392#95×C59C2311yescharacteristic
393#95×C59C2311yescharacteristic
394#95×C59C2311yescharacteristic
395#95×C59C2311yescharacteristic
396#95×C59C2311yescharacteristic
397C24×C59C2411yescharacteristic
398C24×C59C2411yescharacteristic
399C24×C59C2411yescharacteristic
400C24×C59C2411yescharacteristic
401C23×D59—22no—
402C23×D59—22no—
403C23×D59—22no—
404C23×D59—22no—
405C23×D59—41no—
406C23×D59—41no—
407C23×D59—41no—
408C23×D59—41no—
409C23×D59—41no—
410C23×D59—41no—
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—22no—
431C2×D4×C59—41no—
432C2×D4×C59—41no—
433C2×D4×C59—41no—
434C2×D4×C59—41no—
435C2×D4×C59—41no—
436C2×D4×C59—41no—
437C2×D4×C59—41no—
438C2×D4×C59—41no—
439C2×D4×C59—41no—
440C2×D4×C59—41no—
441C2×D4×C59—41no—
442C2×D4×C59—41no—
443C2×D4×C59—41no—
444C2×D4×C59—41no—
445C22×C4×C59—22no—
446C22×C4×C59—22no—
447C22×C4×C59—41no—
448C22×C4×C59—41no—
449C22×C4×C59—41no—
450C22×C4×C59—41no—
451C22×C4×C59C2411yescharacteristic
452C22×C4×C59C2411yescharacteristic
453C22×C4×C59C2411yescharacteristic
454C22×C4×C59C2411yescharacteristic
455C22×C4×C59C2411yescharacteristic
456C22×C4×C59C2411yescharacteristic
457C22×C4×C59C2411yescharacteristic
458C22×C4×C59C2411yescharacteristic
459C22×C4×C59C2411yescharacteristic
460C22×C4×C59C2411yescharacteristic
461C22×C4×C59C2411yescharacteristic
462C2×C22⋊D59—22no—
463C2×C22⋊D59—22no—
464C2×C22⋊D59—22no—
465C2×C22⋊D59—22no—
466C2×C22⋊D59—22no—
467C2×C22⋊D59—22no—
468C2×C22⋊D59—22no—
469C2×C22⋊D59—22no—
470C2×C22⋊D59—22no—
471C2×C22⋊D59—22no—
472C2×C22⋊D59—22no—
473C2×C22⋊D59—22no—
474C2×C22⋊D59—22no—
475C2×C22⋊D59—22no—
476C2×C22⋊D59—22no—
477C2×C22⋊D59—22no—
478C2×C22⋊D59—22no—
479C2×C22⋊D59—22no—
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—41no—
496C2×C22⋊D59—41no—
497C2×C22⋊D59—41no—
498C2×C22⋊D59—41no—
499C2×C22⋊D59—41no—
500C2×C22⋊D59—41no—
501C2×C22⋊D59—41no—
502C2×C22⋊D59—41no—
503C2×C22⋊D59—41no—
504C22×Dic59—22no—
505C22×Dic59—41no—
506C22×Dic59—41no—
507C22×Dic59C2411yescharacteristic
508C22×Dic59C2411yescharacteristic
509C22×Dic59C2411yescharacteristic
510C22×Dic59C2411yescharacteristic
511C22×Dic59C2411yescharacteristic
512C22×Dic59C2411yescharacteristic
513C22×Dic59C2411yescharacteristic
514C22×Dic59C2411yescharacteristic
515C22×Dic59C2411yescharacteristic
516C22×Dic59C2411yescharacteristic
517C22×Dic59C2411yescharacteristic
518D4×D59—416no—
519C2×D236—22no—
520C2×D236—22no—
521C2×D236—22no—
522C2×D236—22no—
523C2×D236—22no—
524C2×D236—22no—
525C2×D236—22no—
526C2×D236—22no—
527C2×D236—22no—
528C2×D236—22no—
529C2×D236—22no—
530C2×D236—22no—
531C2×D236—22no—
532C2×D236—41no—
533C2×D236—41no—
534C2×D236—41no—
535C2×D236—41no—
536C2×D236—416no—
537C2×D236—41no—
538C2×D236—41no—
539C2×D236—41no—
540C2×D236—41no—
541C2×C4×D59—22no—
542C2×C4×D59—22no—
543C2×C4×D59—22no—
544C2×C4×D59—22no—
545C2×C4×D59—22no—
546C2×C4×D59—22no—
547C2×C4×D59—22no—
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—
569C22⋊C4×C59—22no—
570C22⋊C4×C59—22no—
571C22⋊C4×C59—22no—
572C22⋊C4×C59—41no—
573C22⋊C4×C59—41no—
574C22⋊C4×C59—41no—
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×C59C2×D414yes—
583C42×C59—41no—
584C22⋊Dic59—22no—
585C22⋊Dic59—22no—
586C22⋊Dic59—22no—
587C22⋊Dic59—22no—
588C22⋊Dic59—22no—
589C22⋊Dic59—22no—
590C22⋊Dic59—22no—
591C22⋊Dic59—22no—
592C22⋊Dic59—22no—
593C22⋊Dic59—41no—
594C22⋊Dic59—41no—
595C22⋊Dic59—41no—
596C22⋊Dic59—41no—
597C22⋊Dic59C2×D414yes—
598(C2×D59)⋊C4—22no—
599(C2×D59)⋊C4—22no—
600(C2×D59)⋊C4—22no—
601(C2×D59)⋊C4—22no—
602(C2×D59)⋊C4—22no—
603(C2×D59)⋊C4—22no—
604(C2×D59)⋊C4—22no—
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—41no—
613(C2×D59)⋊C4—41no—
614(C2×D59)⋊C4—41no—
615(C2×D59)⋊C4—41no—
616(C2×D59)⋊C4—41no—
617(C2×D59)⋊C4—41no—
618(C2×D59)⋊C4—41no—
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)⋊C4C2×D414yes—
631(C2×D59)⋊C4C2×D414yes—
632C4⋊Dic59—22no—
633C4⋊Dic59—22no—
634C4⋊Dic59—41no—
635C4⋊Dic59—41no—
636Dic59⋊C4—22no—
637Dic59⋊C4—22no—
638Dic59⋊C4—22no—
639Dic59⋊C4—22no—
640Dic59⋊C4—22no—
641Dic59⋊C4—22no—
642Dic59⋊C4—22no—
643Dic59⋊C4—41no—
644Dic59⋊C4—41no—
645Dic59⋊C4—41no—
646Dic59⋊C4—41no—
647Dic59⋊C4—41no—
648Dic59⋊C4—41no—
649Dic59⋊C4—41no—
650C4×Dic59—22no—
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×C59C22×D412yes—
683C23×C59C2511yescharacteristic
684C22×D59—21no—
685C22×D59—21no—
686C22×D59—21no—
687C22×D59—21no—
688C22×D59—21no—
689C22×D59—21no—
690C22×D59—21no—
691C22×D59—21no—
692C22×D59—21no—
693C22×D59—21no—
694C22×D59—28no—
695C22×D59—21no—
696C22×D59—21no—
697C22×D59—21no—
698C22×D59—21no—
699C22×D59—21no—
700C22×D59—21no—
701C22×D59—21no—
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—44no—
717C22×D59—44no—
718C22×D59—44no—
719C22×D59—44no—
720C22×D59—82no—
721C22×D59—82no—
722C22×D59—82no—
723C22×D59—82no—
724C22×D59—82no—
725C22×D59—82no—
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—
743D4×C59—82no—
744D4×C59—82no—
745D4×C59—82no—
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×C59—21no—
775C2×C4×C59—21no—
776C2×C4×C59—21no—
777C2×C4×C59—44no—
778C2×C4×C59—82no—
779C2×C4×C59C22×D412yes—
780C2×C4×C59C22×D412yes—
781C22⋊D59—44no—
782C22⋊D59—44no—
783C22⋊D59—44no—
784C22⋊D59—44no—
785C22⋊D59—82no—
786C22⋊D59—82no—
787C22⋊D59—82no—
788C22⋊D59—82no—
789C22⋊D59—82no—
790C22⋊D59—82no—
791C22⋊D59—82no—
792C22⋊D59—82no—
793C22⋊D59—82no—
794C22⋊D59—82no—
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—21no—
822C2×Dic59—21no—
823C2×Dic59—21no—
824C2×Dic59—82no—
825C2×Dic59C22×D412yes—
826C2×Dic59C22×D412yes—
827C2×Dic59H(5,𝔽2)12yes—
828C2×Dic59H(5,𝔽2)12yes—
829D236—44no—
830D236—44no—
831D236—44no—
832D236—44no—
833D236—44no—
834D236—82no—
835D236—82no—
836C4×D59—44no—
837C4×D59—44no—
838C4×D59—44no—
839C4×D59—44no—
840C4×D59—44no—
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×C59C23×D411yescharacteristic
874C22×C59C2×H(5,𝔽2)11yescharacteristic
875C22×C59C2×H(5,𝔽2)11yescharacteristic
876C22×C59C2×H(5,𝔽2)11yescharacteristic
877C22×C59C2×H(5,𝔽2)11yescharacteristic
878C22×C59#58511yescharacteristic
879C22×C59#58511yescharacteristic
880C2×D59—22no—
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—41no—
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—88no—
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#2703D5911yescharacteristic, complemented
952#2685—591no—
953#2685—591no—
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×#126—591no—
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×#123C2×D5911yescharacteristic
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×#121C2×D5911yescharacteristic, complemented
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×#120—591no—
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#400C2×D5911yescharacteristic, complemented
1040#399—591no—
1041#399—591no—
1042#399—591no—
1043#399—591no—
1044#398—591no—
1045#398—591no—
1046#397—591no—
1047#397—591no—
1048#397—591no—
1049#397C2×D5911yescharacteristic, complemented
1050#396—591no—
1051#396—591no—
1052#396—591no—
1053#396—591no—
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#394—591no—
1067#394—591no—
1068#394—591no—
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#392C2×D5911yescharacteristic
1084#392C2×D5911yescharacteristic
1085#392C2×D5911yescharacteristic, complemented
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#390—591no—
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#388—591no—
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#386C2×D5911yescharacteristic, complemented
1128#386C2×D5911yescharacteristic, complemented
1129#386C2×D5911yescharacteristic, complemented
1130#385—591no—
1131#385—591no—
1132#385—591no—
1133#385—591no—
1134#384—591no—
1135#382—591no—
1136#380—591no—
1137#380C2×D5911yescharacteristic, complemented
1138#379—591no—
1139#379—591no—
1140#379—591no—
1141#379—591no—
1142C2×#95—591no—
1143C2×#95—591no—
1144C59#3673911yescharacteristic, complemented, Sylow
1145C25—591no—
1146C25—591no—
1147C25—591no—
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—1184no—
1171C22×D4—1184no—
1172C22×D4—2362no—
1173C22×D4—2362no—
1174C22×D4—2362no—
1175C22×D4—2362no—
1176C22×D4C22×D5911yescharacteristic
1177C22×D4C22×D5911yescharacteristic
1178C22×D4C22×D5911yescharacteristic
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×C4C22×D5911yescharacteristic
1191C23×C4C22×D5911yescharacteristic
1192#127—2362no—
1193#126—1184no—
1194#126—1184no—
1195#124—1184no—
1196#124—1184no—
1197#124—2362no—
1198#123—24no—
1199#123—1184no—
1200#123—1184no—
1201#123—1184no—
1202#123—1184no—
1203#123—1184no—
1204C22⋊Q8—1184no—
1205#121—24no—
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—1184no—
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—591no—
1251C2×C4⋊C4—591no—
1252C2×C4⋊C4—2362no—
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—591no—
1302C2×C22⋊C4—591no—
1303C2×C22⋊C4—591no—
1304C2×C22⋊C4—591no—
1305C2×C22⋊C4—591no—
1306C2×C22⋊C4—2362no—
1307C2×C22⋊C4—2362no—
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—591no—
1327C2×C42—2362no—
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#95C22×D5911yescharacteristic
1346#95C22×D5911yescharacteristic
1347#95C22×D5911yescharacteristic
1348#95C22×D5911yescharacteristic
1349#95C22×D5911yescharacteristic
1350#95C22×D5911yescharacteristic
1351#95C22×D5911yescharacteristic
1352#95C22×D5911yescharacteristic
1353C24—591no—
1354C24—591no—
1355C24—594no—
1356C24—591no—
1357C24—591no—
1358C24—591no—
1359C24—1182no—
1360C24—1182no—
1361C24—1182no—
1362C24—1182no—
1363C24—2361no—
1364C24—2361no—
1365C24—2361no—
1366C24—2361no—
1367C24—2361no—
1368C24—2361no—
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—22no—
1390C2×D4—41no—
1391C2×D4—41no—
1392C2×D4—41no—
1393C2×D4—41no—
1394C2×D4—41no—
1395C2×D4—41no—
1396C2×D4—41no—
1397C2×D4—41no—
1398C2×D4—41no—
1399C2×D4—41no—
1400C2×D4—41no—
1401C2×D4—41no—
1402C2×D4—41no—
1403C2×D4—41no—
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—1182no—
1428C2×D4—1182no—
1429C2×D4—1182no—
1430C2×D4—1182no—
1431C2×D4—1182no—
1432C2×D4—1182no—
1433C2×D4—1182no—
1434C2×D4—1182no—
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—23616no—
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—2361no—
1468C2×D4—23616no—
1469C22×C4—22no—
1470C22×C4—22no—
1471C22×C4—41no—
1472C22×C4—41no—
1473C22×C4—41no—
1474C22×C4—41no—
1475C22×C4—591no—
1476C22×C4—591no—
1477C22×C4—591no—
1478C22×C4—591no—
1479C22×C4—594no—
1480C22×C4—594no—
1481C22×C4—591no—
1482C22×C4—591no—
1483C22×C4—591no—
1484C22×C4—591no—
1485C22×C4—591no—
1486C22×C4—591no—
1487C22×C4—591no—
1488C22×C4—1182no—
1489C22×C4—1182no—
1490C22×C4—1182no—
1491C22×C4—1182no—
1492C22×C4—1182no—
1493C22×C4—1182no—
1494C22×C4—1182no—
1495C22×C4—1182no—
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—1182no—
1526C4⋊C4—1182no—
1527C4⋊C4—1182no—
1528C4⋊C4—1182no—
1529C4⋊C4—1182no—
1530C4⋊C4—1182no—
1531C4⋊C4—1182no—
1532C4⋊C4—1182no—
1533C4⋊C4—1182no—
1534C4⋊C4—2361no—
1535C4⋊C4—2361no—
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—41no—
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—594no—
1557C22⋊C4—594no—
1558C22⋊C4—594no—
1559C22⋊C4—1182no—
1560C22⋊C4—1182no—
1561C22⋊C4—1182no—
1562C22⋊C4—1182no—
1563C22⋊C4—1182no—
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—2361no—
1583C22⋊C4—2361no—
1584C22⋊C4—2361no—
1585C22⋊C4—2361no—
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—41no—
1606C42—1182no—
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—592no—
1639C23—592no—
1640C23—592no—
1641C23—592no—
1642C23—1188no—
1643C23—1181no—
1644C23—1181no—
1645C23—1181no—
1646C23—1181no—
1647C23—1181no—
1648C23—1181no—
1649C23—1181no—
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—4722no—
1675C23—4722no—
1676C23—4722no—
1677C23—4722no—
1678C23—4722no—
1679C23—4722no—
1680C23—4722no—
1681C23—4722no—
1682C23—4722no—
1683C23—4722no—
1684C23—4722no—
1685C23—4722no—
1686C23—4722no—
1687C23—4722no—
1688C23—4722no—
1689C23—4722no—
1690C23—2364no—
1691C23—2364no—
1692C23—2364no—
1693C23—2364no—
1694C23C2×D4×D5912yes—
1695C23C24×D5911yescharacteristic
1696Q8—4722no—
1697D4—44no—
1698D4—82no—
1699D4—82no—
1700D4—82no—
1701D4—82no—
1702D4—82no—
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—44no—
1756C2×C4—82no—
1757C2×C4—592no—
1758C2×C4—592no—
1759C2×C4—592no—
1760C2×C4—592no—
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—1181no—
1789C2×C4—1181no—
1790C2×C4—4722no—
1791C2×C4—4722no—
1792C2×C4—4722no—
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—594no—
1829C22—1182no—
1830C22—1182no—
1831C22—1182no—
1832C22—1182no—
1833C22—1182no—
1834C22—1182no—
1835C22—1182no—
1836C22—1182no—
1837C22—1182no—
1838C22—4728no—
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#2143827911yescharacteristic
1908C2#2143833011yescharacteristic
1909C2#2143860711yescharacteristic
1910C2#2143863511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2703C2
hypercenter#2703D59
hypocenterC59#36739
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2703

Complements

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

NH ≅ G/Ntype
1. C2×#16837984C2semidirect
2. C2×#16837963C2semidirect
3. #21432440C2semidirect
4. #21432394C2semidirect
5. #21430945C2semidirect
6. #21430942C2semidirect
7. #21430843C2semidirect
8. #21430838C2semidirect
9. #21430787C2semidirect
10. #21430784C2semidirect
11. #21430736C2semidirect
12. #21430485C2semidirect
13. #21430484C2semidirect
14. #21430423C2semidirect
15. #21430422C2semidirect
16. #21430324C2semidirect
17. #21430321C2semidirect
18. #21430308C2semidirect
19. #21430307C2semidirect
20. #21430197C2semidirect
21. #21430028C2semidirect
22. #21429055C2semidirect
23. #21429053C2semidirect
24. #21427538C2semidirect
25. #21427529C2semidirect
26. #21427473C2semidirect
27. #21427473C2semidirect
28. #21427463C2semidirect
29. #21427463C2semidirect
30. #388×D59C2semidirect
31. C59×#2703C2semidirect
36. C2×#14273723C22semidirect
37. C2×#14273722C22semidirect
38. C2×#14273720C22semidirect
39. C2×#14273714C22semidirect
40. C2×#14273713C22semidirect
41. C2×#14273713C22semidirect
45. C2×#14273710C22semidirect
46. C2×#14273708C22semidirect
47. C2×#14273705C22semidirect
50. C2×#14273701C22semidirect
53. C2×#14273700C22semidirect
54. C2×#14273700C22semidirect
55. C2×#14273700C22semidirect
56. C2×#14273700C22semidirect
57. C2×#14273700C22semidirect
58. C2×#14273700C22semidirect
59. C2×#14273699C22semidirect
60. C2×#14273699C22semidirect
61. C2×#14273698C22semidirect
62. C2×#14273698C22semidirect
63. C2×#14273698C22semidirect
70. C2×#14273695C22semidirect
71. C2×#14273695C22semidirect
72. C2×#14273695C22semidirect
73. C2×#14273695C22semidirect
74. C2×C4×C22⋊D59C22semidirect
75. C2×(C22⋊D59)⋊C4C22semidirect
76. C2×C4⋊C4×D59C22semidirect
80. C2×C42×D59C22semidirect
81. #16837340C22semidirect
82. #16837339C22semidirect
83. #16837338C22semidirect
84. #16837338C22semidirect
85. #16837338C22semidirect
86. #16837336C22semidirect
87. #16837333C22semidirect
88. #16837331C22semidirect
89. #16837331C22semidirect
90. #16837330C22semidirect
91. #16837326C22semidirect
92. #16837326C22semidirect
93. #16837325C22semidirect
94. #16837324C22semidirect
99. #16837320C22semidirect
100. #16837320C22semidirect
101. #16837319C22semidirect
104. #16837318C22semidirect
105. #16837317C22semidirect
106. #16837317C22semidirect
107. #16837317C22semidirect
110. #16837315C22semidirect
111. #16837315C22semidirect
116. #16837311C22semidirect
119. #16837310C22semidirect
120. #16837310C22semidirect
121. #16837310C22semidirect
122. #16837310C22semidirect
123. #16837306C22semidirect
124. #16837304C22semidirect
125. #16837303C22semidirect
126. #16837302C22semidirect
127. #16837302C22semidirect
128. #16837302C22semidirect
129. #16837302C22semidirect
130. #16837302C22semidirect
131. #16837302C22semidirect
132. #16837299C22semidirect
133. #16837298C22semidirect
134. #16837296C22semidirect
135. #16837296C22semidirect
136. #16837295C22semidirect
137. #16837294C22semidirect
138. #16837294C22semidirect
139. #16837293C22semidirect
140. #16837293C22semidirect
141. #16837292C22semidirect
142. #16837292C22semidirect
143. #16837291C22semidirect
144. #16837291C22semidirect
145. #16837291C22semidirect
146. #16837290C22semidirect
147. #16837290C22semidirect
148. #16837281C22semidirect
149. #16837280C22semidirect
150. #16837280C22semidirect
151. #16837280C22semidirect
152. #16837280C22semidirect
153. #16837280C22semidirect
154. #16837280C22semidirect
155. #16837279C22semidirect
156. #16837279C22semidirect
157. #16837278C22semidirect
158. #16837278C22semidirect
159. #16837278C22semidirect
160. #16837278C22semidirect
161. #16837276C22semidirect
162. #16837276C22semidirect
163. #16837275C22semidirect
164. #16837275C22semidirect
165. #16837271C22semidirect
166. #16837266C22semidirect
167. #16837260C22semidirect
168. #16837257C22semidirect
169. #16837257C22semidirect
170. #16837257C22semidirect
171. #16837257C22semidirect
172. #95×D59C22semidirect
173. #95×D59C22semidirect
175. C2×#121×C59C22semidirect
176. C59×#400C22semidirect
177. C59×#397C22semidirect
178. C59×#394C22semidirect
181. C59×#392C22semidirect
182. C59×#390C22semidirect
183. C59×#388C22semidirect
184. C59×#388C22semidirect
185. C59×#386C22semidirect
186. C59×#386C22semidirect
187. C59×#386C22semidirect
188. C59×#380C22semidirect
337. C22⋊C4×D59D4semidirect
951. #2703D59semidirect
1020. C2×#121C2×D59semidirect
1039. #400C2×D59semidirect
1049. #397C2×D59semidirect
1069. #394C2×D59semidirect
1085. #392C2×D59semidirect
1095. #390C2×D59semidirect
1112. #388C2×D59semidirect
1113. #388C2×D59semidirect
1127. #386C2×D59semidirect
1128. #386C2×D59semidirect
1129. #386C2×D59semidirect
1137. #380C2×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×#168379842
C2×#168379632
#214324402
#214323942
#214309452
#214309422
#214308432
#214308382
#214307872
#214307842
#214307362
#214304852
#214304842
#214304232
#214304222
#214303242
#214303212
#214303082
#214303072
#214301972
#214300282
#214290552
#214290532
#214275382
#214275292
#214274732
#214274632
#388×D592
C59×#27032
#3673959