Finite Group Databasebeta

← #28796052

Subgroups — #28796052

Order 15104.

2954 conjugacy classes of subgroups.

The subgroup lattice has 1924 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837968C211yesmaximal, characteristic, complemented
2C2×#16837963C211yesmaximal, characteristic, complemented
3#21432379C211yesmaximal, characteristic, complemented
4#21432377C211yesmaximal, characteristic, complemented
5#21430935C211yesmaximal, characteristic, complemented
6#21430827C211yesmaximal, characteristic, complemented
7#21430810C211yesmaximal, characteristic, complemented
8#21430539C211yesmaximal, characteristic, complemented
9#21430535C211yesmaximal, characteristic, complemented
10#21430499C211yesmaximal, characteristic, complemented
11#21430495C211yesmaximal, characteristic, complemented
12#21430478C211yesmaximal, characteristic, complemented
13#21430359C211yesmaximal, characteristic, complemented
14#21430355C211yesmaximal, characteristic, complemented
15#21430339C211yesmaximal, characteristic, complemented
16#21430335C211yesmaximal, characteristic, complemented
17#21430312C211yesmaximal, characteristic, complemented
18#21430302C211yesmaximal, characteristic, complemented
19#21430299C211yesmaximal, characteristic, complemented
20#21429835C211yesmaximal, characteristic, complemented
21#21429831C211yesmaximal, characteristic, complemented
22#21428541C211yesmaximal, characteristic, complemented
23#21428535C211yesmaximal, characteristic, complemented
24#21427705C211yesmaximal, characteristic, complemented
25#21427705C211yesmaximal, characteristic, complemented
26#21427487C211yesmaximal, characteristic, complemented
27#21427485C211yesmaximal, characteristic, complemented
28#21427473C211yesmaximal, characteristic, complemented
29#21427468C211yesmaximal, characteristic, complemented
30#386×D59C211yesmaximal, characteristic, complemented
31C59×#2708C211yesmaximal, characteristic, complemented
32C22×#11745685C2211yescharacteristic, complemented
33C23×D236C2211yescharacteristic
34C22×D4×D59C2211yescharacteristic
35C23×C4×D59C2211yescharacteristic, complemented
36#16837968—28no—
37#16837963—28no—
38C2×#14273723C2211yescharacteristic
39C2×#14273723C2211yescharacteristic, complemented
40C2×#14273713C2211yescharacteristic
41C2×#14273713C2211yescharacteristic, complemented
42C2×#14273712C2211yescharacteristic
43C2×#14273712C2211yescharacteristic
44C2×#14273712C2211yescharacteristic, complemented
45C2×#14273710C2211yescharacteristic
46C2×#14273709C2211yescharacteristic, complemented
47C2×#14273702C2211yescharacteristic
48C2×#14273702C2211yescharacteristic
49C2×#14273702C2211yescharacteristic
50C2×#14273702C2211yescharacteristic
51C2×#14273702C2211yescharacteristic, complemented
52C2×#14273702C2211yescharacteristic, complemented
53C2×#14273701C2211yescharacteristic, complemented
54C2×#14273701C2211yescharacteristic, complemented
55C2×#14273700C2211yescharacteristic
56C2×#14273700C2211yescharacteristic
57C2×#14273700C2211yescharacteristic
58C2×#14273700C2211yescharacteristic
59C2×#14273700C2211yescharacteristic, complemented
60C2×#14273699C2211yescharacteristic, complemented
61C2×#14273698C2211yescharacteristic
62C2×#14273697C2211yescharacteristic
63C2×#14273697C2211yescharacteristic
64C2×#14273697C2211yescharacteristic
65C2×#14273697C2211yescharacteristic
66C2×#14273697C2211yescharacteristic, complemented
67C2×#14273697C2211yescharacteristic, complemented
68C2×#14273695C2211yescharacteristic
69C2×#14273695C2211yescharacteristic
70C2×#14273695C2211yescharacteristic, complemented
71C2×#14273695C2211yescharacteristic, complemented
72C2×#14273685C2211yescharacteristic, complemented
73C2×C22⋊C4×D59C2211yescharacteristic
74C2×C22⋊C4×D59C2211yescharacteristic
75C2×C22⋊C4×D59C2211yescharacteristic
76C2×C22⋊C4×D59C2211yescharacteristic, complemented
77#16837341C2211yescharacteristic, complemented
78#16837339C2211yescharacteristic, complemented
79#16837337C2211yescharacteristic, complemented
80#16837332C2211yescharacteristic, complemented
81#16837331C2211yescharacteristic, complemented
82#16837330C2211yescharacteristic, complemented
83#16837330C2211yescharacteristic, complemented
84#16837330C2211yescharacteristic, complemented
85#16837329C2211yescharacteristic, complemented
86#16837328C2211yescharacteristic, complemented
87#16837328C2211yescharacteristic, complemented
88#16837327C2211yescharacteristic, complemented
89#16837322C2211yescharacteristic, complemented
90#16837322C2211yescharacteristic, complemented
91#16837320C2211yescharacteristic, complemented
92#16837320C2211yescharacteristic, complemented
93#16837320C2211yescharacteristic, complemented
94#16837320C2211yescharacteristic, complemented
95#16837319C2211yescharacteristic, complemented
96#16837319C2211yescharacteristic, complemented
97#16837319C2211yescharacteristic, complemented
98#16837318C2211yescharacteristic, complemented
99#16837318C2211yescharacteristic, complemented
100#16837318C2211yescharacteristic, complemented
101#16837317C2211yescharacteristic, complemented
102#16837317C2211yescharacteristic, complemented
103#16837317C2211yescharacteristic, complemented
104#16837317C2211yescharacteristic, complemented
105#16837317C2211yescharacteristic, complemented
106#16837316C2211yescharacteristic, complemented
107#16837315C2211yescharacteristic, complemented
108#16837315C2211yescharacteristic, complemented
109#16837312C2211yescharacteristic, complemented
110#16837312C2211yescharacteristic, complemented
111#16837312C2211yescharacteristic, complemented
112#16837311C2211yescharacteristic, complemented
113#16837311C2211yescharacteristic, complemented
114#16837311C2211yescharacteristic, complemented
115#16837311C2211yescharacteristic, complemented
116#16837311C2211yescharacteristic, complemented
117#16837311C2211yescharacteristic, complemented
118#16837310C2211yescharacteristic, complemented
119#16837292C2211yescharacteristic, complemented
120#16837292C2211yescharacteristic, complemented
121#16837291C2211yescharacteristic, complemented
122#16837291C2211yescharacteristic, complemented
123#16837285C2211yescharacteristic, complemented
124#16837285C2211yescharacteristic, complemented
125#16837284C2211yescharacteristic, complemented
126#16837284C2211yescharacteristic, complemented
127#16837282C2211yescharacteristic
128#16837281C2211yescharacteristic, complemented
129#16837281C2211yescharacteristic, complemented
130#16837281C2211yescharacteristic, complemented
131#16837281C2211yescharacteristic, complemented
132#16837281C2211yescharacteristic, complemented
133#16837280C2211yescharacteristic
134#16837280C2211yescharacteristic
135#16837280C2211yescharacteristic
136#16837280C2211yescharacteristic
137#16837280C2211yescharacteristic, complemented
138#16837280C2211yescharacteristic, complemented
139#16837280C2211yescharacteristic, complemented
140#16837280C2211yescharacteristic, complemented
141#16837280C2211yescharacteristic, complemented
142#16837280C2211yescharacteristic, complemented
143#16837280C2211yescharacteristic, complemented
144#16837280C2211yescharacteristic, complemented
145#16837280C2211yescharacteristic, complemented
146#16837280C2211yescharacteristic, complemented
147#16837279C2211yescharacteristic, complemented
148#16837279C2211yescharacteristic, complemented
149#16837279C2211yescharacteristic, complemented
150#16837278C2211yescharacteristic
151#16837278C2211yescharacteristic
152#16837278C2211yescharacteristic, complemented
153#16837278C2211yescharacteristic, complemented
154#16837278C2211yescharacteristic, complemented
155#16837278C2211yescharacteristic, complemented
156#16837276C2211yescharacteristic, complemented
157#16837275C2211yescharacteristic, complemented
158#16837273C2211yescharacteristic, complemented
159#16837273C2211yescharacteristic, complemented
160#16837273C2211yescharacteristic, complemented
161#16837264C2211yescharacteristic, complemented
162#16837264C2211yescharacteristic, complemented
163#16837261C2211yescharacteristic, complemented
164#16837261C2211yescharacteristic, complemented
165#16837261C2211yescharacteristic, complemented
166#16837260C2211yescharacteristic, complemented
167#16837259C2211yescharacteristic, complemented
168#16837259C2211yescharacteristic, complemented
169#16837259C2211yescharacteristic, complemented
170#16837257C2211yescharacteristic, complemented
171#16837257C2211yescharacteristic, complemented
172#95×D59C2211yescharacteristic, complemented
173#95×D59C2211yescharacteristic, complemented
174C2×#123×C59C2211yescharacteristic
175C2×#121×C59C2211yescharacteristic
176C59×#400C2211yescharacteristic, complemented
177C59×#398C2211yescharacteristic, complemented
178C59×#397C2211yescharacteristic, complemented
179C59×#397C2211yescharacteristic, complemented
180C59×#394C2211yescharacteristic, complemented
181C59×#394C2211yescharacteristic, complemented
182C59×#386C2211yescharacteristic
183C59×#386C2211yescharacteristic, complemented
184C59×#386C2211yescharacteristic, complemented
185C59×#385C2211yescharacteristic, complemented
186C59×#385C2211yescharacteristic, complemented
187C59×#385C2211yescharacteristic, complemented
188C59×#380C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C24×D59C2311yescharacteristic
191C24×D59C2311yescharacteristic
192C2×#11745685—24no—
193C2×#11745685—42no—
194C2×#11745685—42no—
195C22×Dic118C2311yescharacteristic
196C22×D236—24no—
197C22×D236—42no—
198C22×D236—42no—
199C22×D236C2311yescharacteristic
200C22×D236C2311yescharacteristic
201C22×D236C2311yescharacteristic
202C22×D236C2311yescharacteristic
203C22×D236C2311yescharacteristic
204C22×D236C2311yescharacteristic
205C22×D236C2311yescharacteristic
206C22×D236C2311yescharacteristic
207C22×D236C2311yescharacteristic
208C22×D236C2311yescharacteristic
209C22×D236C2311yescharacteristic
210C22×D236C2311yescharacteristic
211C22×C22⋊D59C2311yescharacteristic
212C22×C22⋊D59C2311yescharacteristic
213C22×C22⋊D59C2311yescharacteristic
214C22×C22⋊D59C2311yescharacteristic
215C22×C22⋊D59C2311yescharacteristic
216C22×C22⋊D59C2311yescharacteristic
217C22×C22⋊D59C2311yescharacteristic
218C22×C22⋊D59C2311yescharacteristic
219C22×C22⋊D59C2311yescharacteristic
220C22×C22⋊D59C2311yescharacteristic
221C22×C22⋊D59C2311yescharacteristic
222C22×C22⋊D59C2311yescharacteristic
223C2×D4×D59—42no—
224C2×D4×D59—42no—
225C2×D4×D59D418yescomplemented
226C23×Dic59C2311yescharacteristic
227C22×C4×D59—42no—
228C22×C4×D59—42no—
229C22×C4×D59—42no—
230C22×C4×D59C2311yescharacteristic
231C22×C4×D59C2311yescharacteristic
232C22×C4×D59C2311yescharacteristic
233C22×C4×D59C2311yescharacteristic
234C22×C4×D59C2311yescharacteristic
235C22×C4×D59C2311yescharacteristic
236C22×C4×D59C2311yescharacteristic
237C22×C4×D59C2311yescharacteristic
238C22×C4×D59C2311yescharacteristic
239C22×C4×D59C2311yescharacteristic
240#14273723—24no—
241#14273723—24no—
242#14273713—24no—
243#14273713—24no—
244#14273712—24no—
245#14273712—24no—
246#14273712—42no—
247#14273710—24no—
248#14273709—42no—
249#14273702—24no—
250#14273702—24no—
251#14273702—24no—
252#14273702—42no—
253#14273702—42no—
254#14273702—42no—
255#14273701—24no—
256#14273701—42no—
257#14273700—24no—
258#14273700—24no—
259#14273700—42no—
260#14273700—42no—
261#14273700—42no—
262#14273699—42no—
263#14273698—24no—
264#14273697—24no—
265#14273697—24no—
266#14273697—24no—
267#14273697—24no—
268#14273697—24no—
269#14273697—42no—
270#14273695—24no—
271#14273695—24no—
272#14273695—24no—
273#14273695—42no—
274#14273685—24no—
275C2×C4⋊Dic59C2311yescharacteristic
276C2×C4⋊Dic59C2311yescharacteristic
277C2×C4⋊Dic59C2311yescharacteristic
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×C22⋊Dic59C2311yescharacteristic
287C2×C22⋊Dic59C2311yescharacteristic
288C2×C22⋊Dic59C2311yescharacteristic
289C2×C22⋊Dic59C2311yescharacteristic
290C2×C22⋊Dic59C2311yescharacteristic
291C2×C22⋊Dic59C2311yescharacteristic
292C2×C22⋊Dic59C2311yescharacteristic
293C2×C22⋊Dic59C2311yescharacteristic
294C2×(C2×D59)⋊C4C2311yescharacteristic
295C2×(C2×D59)⋊C4C2311yescharacteristic
296C2×(C2×D59)⋊C4C2311yescharacteristic
297C2×(C2×D59)⋊C4C2311yescharacteristic
298C2×(C2×D59)⋊C4C2311yescharacteristic
299C2×(C2×D59)⋊C4C2311yescharacteristic
300C2×(C2×D59)⋊C4C2311yescharacteristic
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
332C22⋊C4×D59—24no—
333C22⋊C4×D59—42no—
334C22⋊C4×D59—42no—
335C22⋊C4×D59—42no—
336C2×C4×Dic59C2311yescharacteristic
337C2×C4×Dic59C2311yescharacteristic
338C59⋊#95C2311yescharacteristic
339C59⋊#95C2311yescharacteristic
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
360C22×D4×C59C2311yescharacteristic
361C22×D4×C59C2311yescharacteristic
362C22×D4×C59C2311yescharacteristic
363C23×C4×C59C2311yescharacteristic
364C23×C4×C59C2311yescharacteristic
365C23×C4×C59C2311yescharacteristic
366#123×C59—24no—
367#121×C59—24no—
368C2×C4⋊C4×C59C2311yescharacteristic
369C2×C4⋊C4×C59C2311yescharacteristic
370C2×C4⋊C4×C59C2311yescharacteristic
371C2×C4⋊C4×C59C2311yescharacteristic
372C2×C4⋊C4×C59C2311yescharacteristic
373C2×C4⋊C4×C59C2311yescharacteristic
374C2×C4⋊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
387#95×C59C2311yescharacteristic
388#95×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
400C23×D59—22no—
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×D59C2×D414yes—
420C23×D59C2×D414yes—
421C23×D59C2411yescharacteristic
422C23×D59C2411yescharacteristic
423C23×D59C2411yescharacteristic
424C23×D59C2411yescharacteristic
425C23×D59C2411yescharacteristic
426C23×D59C2411yescharacteristic
427C2×D4×C59—22no—
428C2×D4×C59—22no—
429C2×D4×C59—41no—
430C2×D4×C59—41no—
431C2×D4×C59—41no—
432C2×D4×C59—41no—
433C2×D4×C59—41no—
434C2×D4×C59—41no—
435C2×D4×C59C2×D414yes—
436C22×C4×C59—22no—
437C22×C4×C59—22no—
438C22×C4×C59—22no—
439C22×C4×C59—41no—
440C22×C4×C59—41no—
441C22×C4×C59—41no—
442C22×C4×C59—41no—
443C22×C4×C59—41no—
444C22×C4×C59—41no—
445C22×C4×C59C2411yescharacteristic
446C22×C4×C59C2411yescharacteristic
447C22×C4×C59C2411yescharacteristic
448C22×C4×C59C2411yescharacteristic
449C22×C4×C59C2411yescharacteristic
450C22×C4×C59C2411yescharacteristic
451C22×C4×C59C2411yescharacteristic
452C22×C4×C59C2411yescharacteristic
453C22×C4×C59C2411yescharacteristic
454C22×C4×C59C2411yescharacteristic
455C22×C4×C59C2411yescharacteristic
456C22×C4×C59C2411yescharacteristic
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—22no—
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⋊D59C2×D414yes—
492C2×C22⋊D59C2×D414yes—
493C22×Dic59—22no—
494C22×Dic59—41no—
495C22×Dic59—41no—
496C22×Dic59C2411yescharacteristic
497C22×Dic59C2411yescharacteristic
498C22×Dic59C2411yescharacteristic
499C22×Dic59C2411yescharacteristic
500C22×Dic59C2411yescharacteristic
501C22×Dic59C2411yescharacteristic
502C22×Dic59C2411yescharacteristic
503C22×Dic59C2411yescharacteristic
504C22×Dic59C2411yescharacteristic
505C22×Dic59C2411yescharacteristic
506D4×D59—416no—
507#11745685—416no—
508C2×D236—22no—
509C2×D236—22no—
510C2×D236—22no—
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—22no—
524C2×D236—41no—
525C2×D236—41no—
526C2×D236—41no—
527C2×D236—41no—
528C2×D236—41no—
529C2×D236—41no—
530C2×D236—416no—
531C2×D236—41no—
532C2×D236—41no—
533C2×D236—41no—
534C2×D236—41no—
535C2×D236—41no—
536C2×D236—41no—
537C2×D236—41no—
538C2×D236—41no—
539C2×D236—41no—
540C2×D236—41no—
541C2×D236—41no—
542C2×D236—41no—
543C2×D236—41no—
544C2×D236C2×D414yes—
545C2×C4×D59—22no—
546C2×C4×D59—22no—
547C2×C4×D59—22no—
548C2×C4×D59—22no—
549C2×C4×D59—22no—
550C2×C4×D59—22no—
551C2×C4×D59—22no—
552C2×C4×D59—22no—
553C2×C4×D59—22no—
554C2×C4×D59—22no—
555C2×C4×D59—22no—
556C2×C4×D59—22no—
557C2×C4×D59—22no—
558C2×C4×D59—41no—
559C2×C4×D59—41no—
560C2×C4×D59—41no—
561C2×C4×D59—41no—
562C2×C4×D59—41no—
563C2×C4×D59—41no—
564C2×C4×D59—41no—
565C2×C4×D59—41no—
566C2×C4×D59—416no—
567C2×C4×D59—41no—
568C2×C4×D59—41no—
569C2×C4×D59—41no—
570C2×C4×D59—41no—
571C2×C4×D59—41no—
572C2×C4×D59—41no—
573C2×C4×D59—41no—
574C2×C4×D59—41no—
575C2×C4×D59C2×D414yes—
576C2×Dic118—22no—
577C2×Dic118—41no—
578C2×Dic118—41no—
579C4⋊C4×C59—22no—
580C4⋊C4×C59—22no—
581C4⋊C4×C59—22no—
582C4⋊C4×C59—41no—
583C4⋊C4×C59—41no—
584C4⋊C4×C59—41no—
585C4⋊C4×C59—41no—
586C22⋊C4×C59—22no—
587C22⋊C4×C59—22no—
588C22⋊C4×C59—22no—
589C22⋊C4×C59—22no—
590C22⋊C4×C59—22no—
591C22⋊C4×C59—22no—
592C22⋊C4×C59—22no—
593C22⋊C4×C59—41no—
594C22⋊C4×C59—41no—
595C22⋊C4×C59—41no—
596C22⋊C4×C59—41no—
597C22⋊C4×C59—41no—
598C22⋊Dic59—22no—
599C22⋊Dic59—22no—
600C22⋊Dic59—22no—
601C22⋊Dic59—22no—
602C22⋊Dic59—41no—
603C22⋊Dic59—41no—
604C22⋊Dic59—41no—
605C22⋊Dic59—41no—
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—22no—
620(C2×D59)⋊C4—22no—
621(C2×D59)⋊C4—22no—
622(C2×D59)⋊C4—22no—
623(C2×D59)⋊C4—22no—
624(C2×D59)⋊C4—22no—
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)⋊C4—41no—
634(C2×D59)⋊C4—41no—
635(C2×D59)⋊C4—41no—
636(C2×D59)⋊C4—41no—
637(C2×D59)⋊C4—41no—
638(C2×D59)⋊C4—41no—
639(C2×D59)⋊C4—41no—
640(C2×D59)⋊C4—41no—
641(C2×D59)⋊C4—41no—
642(C2×D59)⋊C4—41no—
643(C2×D59)⋊C4—41no—
644C4⋊Dic59—22no—
645C4⋊Dic59—22no—
646C4⋊Dic59—41no—
647Dic59⋊C4—22no—
648Dic59⋊C4—22no—
649Dic59⋊C4—22no—
650Dic59⋊C4—41no—
651Dic59⋊C4—41no—
652Dic59⋊C4—41no—
653Dic59⋊C4—41no—
654Dic59⋊C4—41no—
655C4×Dic59—22no—
656C4×Dic59—22no—
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×C59C22×D412yes—
677C23×C59C22×D412yes—
678C23×C59C2511yescharacteristic
679C22×D59—21no—
680C22×D59—21no—
681C22×D59—21no—
682C22×D59—21no—
683C22×D59—21no—
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—21no—
695C22×D59—28no—
696C22×D59—28no—
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—21no—
717C22×D59—21no—
718C22×D59—44no—
719C22×D59—44no—
720C22×D59—44no—
721C22×D59—44no—
722C22×D59—44no—
723C22×D59—44no—
724C22×D59—44no—
725C22×D59—44no—
726C22×D59—44no—
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×D59—82no—
737C22×D59C22×D412yes—
738C22×D59C22×D412yes—
739C22×D59C22×D412yes—
740C22×D59H(5,𝔽2)12yes—
741C22×D59H(5,𝔽2)12yes—
742D4×C59—44no—
743D4×C59—82no—
744D4×C59—82no—
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×C59—21no—
775C2×C4×C59—21no—
776C2×C4×C59—21no—
777C2×C4×C59—21no—
778C2×C4×C59—21no—
779C2×C4×C59—44no—
780C2×C4×C59—44no—
781C2×C4×C59—44no—
782C2×C4×C59C22×D412yes—
783C2×C4×C59H(5,𝔽2)12yes—
784C22⋊D59—44no—
785C22⋊D59—44no—
786C22⋊D59—44no—
787C22⋊D59—44no—
788C22⋊D59—82no—
789C22⋊D59—82no—
790C22⋊D59—82no—
791C22⋊D59—82no—
792C22⋊D59—82no—
793C22⋊D59—82no—
794C22⋊D59—82no—
795C22⋊D59—82no—
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—44no—
825C2×Dic59C22×D412yes—
826C2×Dic59H(5,𝔽2)12yes—
827D236—44no—
828D236—44no—
829D236—44no—
830D236—44no—
831D236—44no—
832D236—44no—
833D236—82no—
834D236—82no—
835D236—82no—
836D236—82no—
837D236—82no—
838D236—82no—
839C4×D59—28no—
840C4×D59—44no—
841C4×D59—44no—
842C4×D59—44no—
843C4×D59—44no—
844C4×D59—44no—
845C4×D59—82no—
846C4×D59—82no—
847C4×D59—82no—
848C4×D59—82no—
849Dic118—44no—
850#36737—591nomaximal, Sylow
851C22×C59—22no—
852C22×C59—22no—
853C22×C59—22no—
854C22×C59—22no—
855C22×C59—22no—
856C22×C59—22no—
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×C59C23×D411yescharacteristic
873C22×C59C2×H(5,𝔽2)11yescharacteristic
874C22×C59C2×H(5,𝔽2)11yescharacteristic
875C22×C59C2×H(5,𝔽2)11yescharacteristic
876C22×C59C2×H(5,𝔽2)11yescharacteristic
877C22×C59#58511yescharacteristic
878C22×C59#58511yescharacteristic
879C2×D59—22no—
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—22no—
890C2×D59—22no—
891C2×D59—416no—
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—41no—
916C2×D59—41no—
917C2×D59—41no—
918C2×D59—41no—
919C2×D59—41no—
920C2×D59—41no—
921C2×D59—88no—
922C2×D59—88no—
923C2×D59#53414yes—
924C4×C59—22no—
925C4×C59—22no—
926C4×C59—41no—
927C4×C59—41no—
928C4×C59—41no—
929C4×C59—41no—
930C4×C59—41no—
931C4×C59—41no—
932C4×C59—41no—
933C4×C59—41no—
934C4×C59—41no—
935C4×C59—41no—
936Dic59—22no—
937Dic59—22no—
938Dic59—41no—
939Dic59—41no—
940Dic59—41no—
941Dic59—41no—
942Dic59—41no—
943Dic59—41no—
944Dic59—41no—
945Dic59—41no—
946C2×#535—591no—
947C2×#534—591no—
948#2847—591no—
949#2847—591no—
950#2717—591no—
951#2709—591no—
952#2708—591no—
953#2708D5911yescharacteristic, complemented
954#2688—591no—
955#2688—591no—
956#2686—591no—
957#2686—591no—
958#2684—591no—
959#2673—591no—
960#2673—591no—
961#2671—591no—
962#2671—591no—
963#2669—591no—
964#2668—591no—
965#2668—591no—
966#2617—591no—
967#2617—591no—
968#2498—591no—
969#2498—591no—
970#2430—591no—
971#2430—591no—
972#2412—591no—
973#2412—591no—
974#2410—591no—
975#2410—591no—
976C2×#386—591no—
977C2×C59—42no—
978C2×C59—42no—
979C2×C59—81no—
980C2×C59C2×#53411yescharacteristic
981C2×C59#349611yescharacteristic
982C2×C59#349611yescharacteristic
983C2×C59#353211yescharacteristic
984C2×C59#353311yescharacteristic
985C2×C59#354211yescharacteristic
986C2×C59#354211yescharacteristic
987D59—24no—
988D59—42no—
989D59—42no—
990D59—81no—
991D59—81no—
992D59—81no—
993C22×#41—591no—
994C23×D4—591no—
995C23×D4—591no—
996C24×C4—591no—
997#535—1188no—
998#534—1188no—
999C2×#127—591no—
1000C2×#127—591no—
1001C2×#124—591no—
1002C2×#124—591no—
1003C2×#123—591no—
1004C2×#123—591no—
1005C2×#123—591no—
1006C2×#123—591no—
1007C2×#123—591no—
1008C2×#123C2×D5911yescharacteristic
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×#121—591no—
1022C2×#121—591no—
1023C2×#121—591no—
1024C2×#121C2×D5911yescharacteristic
1025C2×#120—591no—
1026C2×#120—591no—
1027C2×#120—591no—
1028C2×#120—591no—
1029C2×#120—591no—
1030C2×#120—591no—
1031C2×#120—591no—
1032C2×#120—591no—
1033C2×#120—591no—
1034C2×#120—591no—
1035C2×#117—591no—
1036C22×C22⋊C4—591no—
1037C22×C22⋊C4—591no—
1038C22×C22⋊C4—591no—
1039C22×C22⋊C4—591no—
1040#400—591no—
1041#400C2×D5911yescharacteristic, complemented
1042#399—591no—
1043#399—591no—
1044#398—591no—
1045#398C2×D5911yescharacteristic, complemented
1046#397—591no—
1047#397—591no—
1048#397—591no—
1049#397—591no—
1050#397—591no—
1051#397—591no—
1052#397—591no—
1053#397—591no—
1054#397C2×D5911yescharacteristic, complemented
1055#397C2×D5911yescharacteristic, complemented
1056#395—591no—
1057#395—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#394—591no—
1070#394—591no—
1071#394—591no—
1072#394—591no—
1073#394—591no—
1074#394C2×D5911yescharacteristic, complemented
1075#394C2×D5911yescharacteristic, complemented
1076#393—591no—
1077#393—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#392—591no—
1087#392—591no—
1088#388—591no—
1089#388—591no—
1090#388—591no—
1091#388—591no—
1092#387—591no—
1093#387—591no—
1094#387—591no—
1095#387—591no—
1096#386—591no—
1097#386—591no—
1098#386—591no—
1099#386—591no—
1100#386—591no—
1101#386—591no—
1102#386—591no—
1103#386—591no—
1104#386—591no—
1105#386—591no—
1106#386—591no—
1107#386—591no—
1108#386—591no—
1109#386—591no—
1110#386—591no—
1111#386—591no—
1112#386—591no—
1113#386—591no—
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#386C2×D5911yescharacteristic
1126#386C2×D5911yescharacteristic, complemented
1127#386C2×D5911yescharacteristic, complemented
1128#385—591no—
1129#385—591no—
1130#385—591no—
1131#385—591no—
1132#385—591no—
1133#385C2×D5911yescharacteristic, complemented
1134#385C2×D5911yescharacteristic, complemented
1135#385C2×D5911yescharacteristic, complemented
1136#381—591no—
1137#381—591no—
1138#380—591no—
1139#380—591no—
1140#380—591no—
1141#380—591no—
1142#380—591no—
1143#380—591no—
1144#380—591no—
1145#380C2×D5911yescharacteristic, complemented
1146#379—591no—
1147#379—591no—
1148C2×#95—591no—
1149C2×#95—591no—
1150C59#3673711yescharacteristic, complemented, Sylow
1151C25—591no—
1152C25—591no—
1153C25—591no—
1154C2×#41—1184no—
1155C2×#41—2362no—
1156C2×#41—2362no—
1157C22×Q8—591no—
1158C22×D4—591no—
1159C22×D4—591no—
1160C22×D4—598no—
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—591no—
1174C22×D4—591no—
1175C22×D4—591no—
1176C22×D4—591no—
1177C22×D4—591no—
1178C22×D4—591no—
1179C22×D4—591no—
1180C22×D4—591no—
1181C22×D4—591no—
1182C22×D4—591no—
1183C22×D4—1184no—
1184C22×D4—2362no—
1185C22×D4—2362no—
1186C22×D4—2362no—
1187C22×D4—2362no—
1188C22×D4C22×D5911yescharacteristic
1189C22×D4C22×D5911yescharacteristic
1190C22×D4C22×D5911yescharacteristic
1191C23×C4—591no—
1192C23×C4—591no—
1193C23×C4—591no—
1194C23×C4—591no—
1195C23×C4—591no—
1196C23×C4—591no—
1197C23×C4—591no—
1198C23×C4—591no—
1199C23×C4—591no—
1200C23×C4—591no—
1201C23×C4—591no—
1202C23×C4—2362no—
1203C23×C4—2362no—
1204C23×C4—2362no—
1205C23×C4C22×D5911yescharacteristic
1206C23×C4C22×D5911yescharacteristic
1207C23×C4C22×D5911yescharacteristic
1208#127—1184no—
1209#127—1184no—
1210#124—1184no—
1211#124—1184no—
1212#123—24no—
1213#123—1184no—
1214#123—1184no—
1215#123—1184no—
1216#123—2362no—
1217#123—2362no—
1218#121—24no—
1219#121—1184no—
1220#121—1184no—
1221#121—1184no—
1222#121—1184no—
1223#121—1184no—
1224#121—1184no—
1225#121—1184no—
1226#121—2362no—
1227#121—2362no—
1228#121—2362no—
1229#121—2362no—
1230#121—2362no—
1231#121—2362no—
1232#121—2362no—
1233#121—2362no—
1234#120—1184no—
1235#120—1184no—
1236#120—1184no—
1237#120—1184no—
1238#120—1184no—
1239#120—1184no—
1240#120—1184no—
1241#120—1184no—
1242#120—2362no—
1243#120—2362no—
1244#117—1184no—
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—591no—
1253C2×C4⋊C4—591no—
1254C2×C4⋊C4—591no—
1255C2×C4⋊C4—591no—
1256C2×C4⋊C4C22×D5911yescharacteristic
1257C2×C4⋊C4C22×D5911yescharacteristic
1258C2×C4⋊C4C22×D5911yescharacteristic
1259C2×C4⋊C4C22×D5911yescharacteristic
1260C2×C4⋊C4C22×D5911yescharacteristic
1261C2×C4⋊C4C22×D5911yescharacteristic
1262C2×C4⋊C4C22×D5911yescharacteristic
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—591no—
1307C2×C22⋊C4—591no—
1308C2×C22⋊C4—591no—
1309C2×C22⋊C4—1184no—
1310C2×C22⋊C4—2362no—
1311C2×C22⋊C4—2362no—
1312C2×C22⋊C4—2362no—
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×C22⋊C4C22×D5911yescharacteristic
1323C2×C22⋊C4C22×D5911yescharacteristic
1324C2×C22⋊C4C22×D5911yescharacteristic
1325C2×C42—591no—
1326C2×C42—591no—
1327#95—591no—
1328#95—591no—
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
1353#95C22×D5911yescharacteristic
1354#95C22×D5911yescharacteristic
1355#95C22×D5911yescharacteristic
1356#95C22×D5911yescharacteristic
1357#95C22×D5911yescharacteristic
1358#95C22×D5911yescharacteristic
1359C24—591no—
1360C24—591no—
1361C24—591no—
1362C24—594no—
1363C24—594no—
1364C24—591no—
1365C24—591no—
1366C24—591no—
1367C24—1182no—
1368C24—1182no—
1369C24—1182no—
1370C24—1182no—
1371C24—1182no—
1372C24—2361no—
1373C24—2361no—
1374C24—2361no—
1375C24—2361no—
1376C24—2361no—
1377C24—2361no—
1378C24—2361no—
1379C24—2361no—
1380C24—2361no—
1381C24—2361no—
1382C24—2361no—
1383C24—2361no—
1384C24—2361no—
1385C24—2361no—
1386C24C23×D5911yescharacteristic
1387C24C23×D5911yescharacteristic
1388C24C23×D5911yescharacteristic
1389#41—23616no—
1390C2×Q8—1182no—
1391C2×Q8—2361no—
1392C2×Q8—2361no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—41no—
1396C2×D4—41no—
1397C2×D4—41no—
1398C2×D4—41no—
1399C2×D4—41no—
1400C2×D4—41no—
1401C2×D4—594no—
1402C2×D4—594no—
1403C2×D4—594no—
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—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—23616no—
1451C2×D4—23616no—
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—2361no—
1469C2×D4—2361no—
1470C2×D4—2361no—
1471C2×D4—2361no—
1472C2×D4—2361no—
1473C2×D4—2361no—
1474C2×D4—2361no—
1475C2×D4D4×D5914yes—
1476C22×C4—22no—
1477C22×C4—22no—
1478C22×C4—22no—
1479C22×C4—41no—
1480C22×C4—41no—
1481C22×C4—41no—
1482C22×C4—41no—
1483C22×C4—41no—
1484C22×C4—41no—
1485C22×C4—591no—
1486C22×C4—591no—
1487C22×C4—594no—
1488C22×C4—591no—
1489C22×C4—591no—
1490C22×C4—591no—
1491C22×C4—591no—
1492C22×C4—591no—
1493C22×C4—591no—
1494C22×C4—591no—
1495C22×C4—591no—
1496C22×C4—1182no—
1497C22×C4—1182no—
1498C22×C4—1182no—
1499C22×C4—1182no—
1500C22×C4—1182no—
1501C22×C4—1182no—
1502C22×C4—1182no—
1503C22×C4—1182no—
1504C22×C4—1182no—
1505C22×C4—1182no—
1506C22×C4—1182no—
1507C22×C4—1182no—
1508C22×C4—1182no—
1509C22×C4—1182no—
1510C22×C4—2361no—
1511C22×C4—2361no—
1512C22×C4—2361no—
1513C22×C4—2361no—
1514C22×C4—2361no—
1515C22×C4—2361no—
1516C22×C4—2361no—
1517C22×C4—2361no—
1518C22×C4—2361no—
1519C22×C4—2361no—
1520C22×C4—2361no—
1521C22×C4—2361no—
1522C22×C4—2361no—
1523C22×C4—2361no—
1524C22×C4—2361no—
1525C22×C4—2361no—
1526C22×C4—23616no—
1527C22×C4—2361no—
1528C22×C4—2361no—
1529C22×C4C23×D5911yescharacteristic
1530C22×C4C23×D5911yescharacteristic
1531C22×C4C23×D5911yescharacteristic
1532C22×C4C23×D5911yescharacteristic
1533C22×C4C23×D5911yescharacteristic
1534C22×C4C23×D5911yescharacteristic
1535C22×C4C23×D5911yescharacteristic
1536C22×C4C23×D5911yescharacteristic
1537C22×C4C23×D5911yescharacteristic
1538C22×C4C23×D5911yescharacteristic
1539C22×C4C23×D5911yescharacteristic
1540C22×C4C23×D5911yescharacteristic
1541C4⋊C4—22no—
1542C4⋊C4—22no—
1543C4⋊C4—22no—
1544C4⋊C4—41no—
1545C4⋊C4—41no—
1546C4⋊C4—41no—
1547C4⋊C4—41no—
1548C4⋊C4—1182no—
1549C4⋊C4—1182no—
1550C4⋊C4—1182no—
1551C4⋊C4—1182no—
1552C4⋊C4—1182no—
1553C4⋊C4—2361no—
1554C4⋊C4—2361no—
1555C4⋊C4—2361no—
1556C4⋊C4—2361no—
1557C4⋊C4—2361no—
1558C4⋊C4—2361no—
1559C22⋊C4—22no—
1560C22⋊C4—22no—
1561C22⋊C4—22no—
1562C22⋊C4—22no—
1563C22⋊C4—22no—
1564C22⋊C4—22no—
1565C22⋊C4—22no—
1566C22⋊C4—41no—
1567C22⋊C4—41no—
1568C22⋊C4—41no—
1569C22⋊C4—41no—
1570C22⋊C4—41no—
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—1182no—
1587C22⋊C4—1182no—
1588C22⋊C4—1182no—
1589C22⋊C4—1182no—
1590C22⋊C4—1182no—
1591C22⋊C4—1182no—
1592C22⋊C4—1182no—
1593C22⋊C4—1182no—
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⋊C4—2361no—
1605C22⋊C4—2361no—
1606C22⋊C4—2361no—
1607C22⋊C4—2361no—
1608C22⋊C4—2361no—
1609C22⋊C4—2361no—
1610C22⋊C4—2361no—
1611C22⋊C4—2361no—
1612C22⋊C4—2361no—
1613C22⋊C4—2361no—
1614C22⋊C4—2361no—
1615C22⋊C4—2361no—
1616C22⋊C4—2361no—
1617C42—1182no—
1618C42—1182no—
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—592no—
1643C23—1188no—
1644C23—1188no—
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—1181no—
1675C23—1181no—
1676C23—1181no—
1677C23—1181no—
1678C23—1181no—
1679C23—1181no—
1680C23—1181no—
1681C23—1181no—
1682C23—4722no—
1683C23—4722no—
1684C23—4722no—
1685C23—4722no—
1686C23—4722no—
1687C23—4722no—
1688C23—4722no—
1689C23—4722no—
1690C23—4722no—
1691C23—4722no—
1692C23—2364no—
1693C23—2364no—
1694C23—2364no—
1695C23—2364no—
1696C23—2364no—
1697C23—2364no—
1698C23—2364no—
1699C23—2364no—
1700C23—2364no—
1701C23C2×D4×D5912yes—
1702C23C2×D4×D5912yes—
1703C23C24×D5911yescharacteristic
1704Q8—2364no—
1705D4—44no—
1706D4—82no—
1707D4—82no—
1708D4—4722no—
1709D4—4722no—
1710D4—4722no—
1711D4—4722no—
1712D4—4722no—
1713D4—4722no—
1714D4—4722no—
1715D4—4722no—
1716D4—4722no—
1717D4—4722no—
1718D4—4722no—
1719D4—4722no—
1720D4—4722no—
1721D4—4722no—
1722D4—2364no—
1723D4—2364no—
1724D4—2364no—
1725D4—2364no—
1726D4—2364no—
1727D4—2364no—
1728D4—2364no—
1729D4—2364no—
1730D4—2364no—
1731D4—2364no—
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—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—44no—
1767C2×C4—44no—
1768C2×C4—44no—
1769C2×C4—592no—
1770C2×C4—592no—
1771C2×C4—1188no—
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—1181no—
1791C2×C4—1181no—
1792C2×C4—1181no—
1793C2×C4—1181no—
1794C2×C4—1181no—
1795C2×C4—1181no—
1796C2×C4—1181no—
1797C2×C4—1181no—
1798C2×C4—1181no—
1799C2×C4—1181no—
1800C2×C4—4722no—
1801C2×C4—4722no—
1802C2×C4—4722no—
1803C2×C4—4722no—
1804C2×C4—2364no—
1805C2×C4—2364no—
1806C2×C4—2364no—
1807C2×C4—2364no—
1808C2×C4—2364no—
1809C2×C4—2364no—
1810C2×C4C2×D4×D5912yes—
1811C2×C4#1427377312yes—
1812C22—22no—
1813C22—22no—
1814C22—22no—
1815C22—22no—
1816C22—22no—
1817C22—22no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—594no—
1834C22—1182no—
1835C22—1182no—
1836C22—1182no—
1837C22—1182no—
1838C22—1182no—
1839C22—1182no—
1840C22—1182no—
1841C22—1182no—
1842C22—1182no—
1843C22—1182no—
1844C22—1182no—
1845C22—1182no—
1846C22—4728no—
1847C22—4728no—
1848C22—23616no—
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—
1866C22—2361no—
1867C22—2361no—
1868C22—2361no—
1869C22—2361no—
1870C22—2361no—
1871C22—2361no—
1872C22—2361no—
1873C22—2361no—
1874C22—2361no—
1875C22—2361no—
1876C22—2361no—
1877C22—2361no—
1878C22C22×D4×D5911yescharacteristic
1879C22H(5,𝔽2)×D5911yescharacteristic
1880C22H(5,𝔽2)×D5911yescharacteristic
1881C22H(5,𝔽2)×D5911yescharacteristic
1882C22C2×#1427377311yescharacteristic
1883C22#1683823811yescharacteristic
1884C22#1683823911yescharacteristic
1885C4—22no—
1886C4—22no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—41no—
1893C4—41no—
1894C4—41no—
1895C4—41no—
1896C4—41no—
1897C4—1182no—
1898C4—1182no—
1899C4—2361no—
1900C4—2361no—
1901C4—2361no—
1902C4—2361no—
1903C4—2361no—
1904C4—2361no—
1905C4—2361no—
1906C4—2361no—
1907C2—42no—
1908C2—42no—
1909C2—81no—
1910C2—1184no—
1911C2—4721no—
1912C2—4721no—
1913C2—4721no—
1914C2—2362no—
1915C2—2362no—
1916C2#534×D5911yescharacteristic
1917C2#2143785411yescharacteristic
1918C2#2143785611yescharacteristic
1919C2#2143824711yescharacteristic
1920C2#2143827111yescharacteristic
1921C2#2143840911yescharacteristic
1922C2#2143841511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2708C2
hypercenter#2708D59
hypocenterC59#36737
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2708

Complements

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

NH ≅ G/Ntype
1. C2×#16837968C2semidirect
2. C2×#16837963C2semidirect
3. #21432379C2semidirect
4. #21432377C2semidirect
5. #21430935C2semidirect
6. #21430827C2semidirect
7. #21430810C2semidirect
8. #21430539C2semidirect
9. #21430535C2semidirect
10. #21430499C2semidirect
11. #21430495C2semidirect
12. #21430478C2semidirect
13. #21430359C2semidirect
14. #21430355C2semidirect
15. #21430339C2semidirect
16. #21430335C2semidirect
17. #21430312C2semidirect
18. #21430302C2semidirect
19. #21430299C2semidirect
20. #21429835C2semidirect
21. #21429831C2semidirect
22. #21428541C2semidirect
23. #21428535C2semidirect
24. #21427705C2semidirect
25. #21427705C2semidirect
26. #21427487C2semidirect
27. #21427485C2semidirect
28. #21427473C2semidirect
29. #21427468C2semidirect
30. #386×D59C2semidirect
31. C59×#2708C2semidirect
32. C22×#11745685C22semidirect
35. C23×C4×D59C22semidirect
39. C2×#14273723C22semidirect
41. C2×#14273713C22semidirect
44. C2×#14273712C22semidirect
46. C2×#14273709C22semidirect
51. C2×#14273702C22semidirect
52. C2×#14273702C22semidirect
53. C2×#14273701C22semidirect
54. C2×#14273701C22semidirect
59. C2×#14273700C22semidirect
60. C2×#14273699C22semidirect
66. C2×#14273697C22semidirect
67. C2×#14273697C22semidirect
70. C2×#14273695C22semidirect
71. C2×#14273695C22semidirect
72. C2×#14273685C22semidirect
76. C2×C22⋊C4×D59C22semidirect
77. #16837341C22semidirect
78. #16837339C22semidirect
79. #16837337C22semidirect
80. #16837332C22semidirect
81. #16837331C22semidirect
82. #16837330C22semidirect
83. #16837330C22semidirect
84. #16837330C22semidirect
85. #16837329C22semidirect
86. #16837328C22semidirect
87. #16837328C22semidirect
88. #16837327C22semidirect
89. #16837322C22semidirect
90. #16837322C22semidirect
91. #16837320C22semidirect
92. #16837320C22semidirect
93. #16837320C22semidirect
94. #16837320C22semidirect
95. #16837319C22semidirect
96. #16837319C22semidirect
97. #16837319C22semidirect
98. #16837318C22semidirect
99. #16837318C22semidirect
100. #16837318C22semidirect
101. #16837317C22semidirect
102. #16837317C22semidirect
103. #16837317C22semidirect
104. #16837317C22semidirect
105. #16837317C22semidirect
106. #16837316C22semidirect
107. #16837315C22semidirect
108. #16837315C22semidirect
109. #16837312C22semidirect
110. #16837312C22semidirect
111. #16837312C22semidirect
112. #16837311C22semidirect
113. #16837311C22semidirect
114. #16837311C22semidirect
115. #16837311C22semidirect
116. #16837311C22semidirect
117. #16837311C22semidirect
118. #16837310C22semidirect
119. #16837292C22semidirect
120. #16837292C22semidirect
121. #16837291C22semidirect
122. #16837291C22semidirect
123. #16837285C22semidirect
124. #16837285C22semidirect
125. #16837284C22semidirect
126. #16837284C22semidirect
128. #16837281C22semidirect
129. #16837281C22semidirect
130. #16837281C22semidirect
131. #16837281C22semidirect
132. #16837281C22semidirect
137. #16837280C22semidirect
138. #16837280C22semidirect
139. #16837280C22semidirect
140. #16837280C22semidirect
141. #16837280C22semidirect
142. #16837280C22semidirect
143. #16837280C22semidirect
144. #16837280C22semidirect
145. #16837280C22semidirect
146. #16837280C22semidirect
147. #16837279C22semidirect
148. #16837279C22semidirect
149. #16837279C22semidirect
152. #16837278C22semidirect
153. #16837278C22semidirect
154. #16837278C22semidirect
155. #16837278C22semidirect
156. #16837276C22semidirect
157. #16837275C22semidirect
158. #16837273C22semidirect
159. #16837273C22semidirect
160. #16837273C22semidirect
161. #16837264C22semidirect
162. #16837264C22semidirect
163. #16837261C22semidirect
164. #16837261C22semidirect
165. #16837261C22semidirect
166. #16837260C22semidirect
167. #16837259C22semidirect
168. #16837259C22semidirect
169. #16837259C22semidirect
170. #16837257C22semidirect
171. #16837257C22semidirect
172. #95×D59C22semidirect
173. #95×D59C22semidirect
176. C59×#400C22semidirect
177. C59×#398C22semidirect
178. C59×#397C22semidirect
179. C59×#397C22semidirect
180. C59×#394C22semidirect
181. C59×#394C22semidirect
183. C59×#386C22semidirect
184. C59×#386C22semidirect
185. C59×#385C22semidirect
186. C59×#385C22semidirect
187. C59×#385C22semidirect
188. C59×#380C22semidirect
225. C2×D4×D59D4semidirect
953. #2708D59semidirect
1041. #400C2×D59semidirect
1045. #398C2×D59semidirect
1054. #397C2×D59semidirect
1055. #397C2×D59semidirect
1074. #394C2×D59semidirect
1075. #394C2×D59semidirect
1126. #386C2×D59semidirect
1127. #386C2×D59semidirect
1133. #385C2×D59semidirect
1134. #385C2×D59semidirect
1135. #385C2×D59semidirect
1145. #380C2×D59semidirect
1150. C59#36737semidirect

Maximal subgroups

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

subgroupindex
C2×#168379682
C2×#168379632
#214323792
#214323772
#214309352
#214308272
#214308102
#214305392
#214305352
#214304992
#214304952
#214304782
#214303592
#214303552
#214303392
#214303352
#214303122
#214303022
#214302992
#214298352
#214298312
#214285412
#214285352
#214277052
#214274872
#214274852
#214274732
#214274682
#386×D592
C59×#27082
#3673759