Finite Group Databasebeta

← #28761283

Subgroups — #28761283

Order 15104.

2902 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837988C211yesmaximal, characteristic, complemented
2C2×C4×D4×D59C211yesmaximal, characteristic, complemented
3#21432434C211yesmaximal, characteristic, complemented
4#21432423C211yesmaximal, characteristic, complemented
5#21432391C211yesmaximal, characteristic, complemented
6#21432385C211yesmaximal, characteristic, complemented
7#21429902C211yesmaximal, characteristic, complemented
8#21429835C211yesmaximal, characteristic, complemented
9#21429809C211yesmaximal, characteristic, complemented
10#21429807C211yesmaximal, characteristic, complemented
11#21428138C211yesmaximal, characteristic, complemented
12#21428134C211yesmaximal, characteristic, complemented
13#21428129C211yesmaximal, characteristic, complemented
14#21428125C211yesmaximal, characteristic, complemented
15#21428038C211yesmaximal, characteristic, complemented
16#21428034C211yesmaximal, characteristic, complemented
17#21428031C211yesmaximal, characteristic, complemented
18#21428027C211yesmaximal, characteristic, complemented
19#21427995C211yesmaximal, characteristic, complemented
20#21427989C211yesmaximal, characteristic, complemented
21#21427984C211yesmaximal, characteristic, complemented
22#21427982C211yesmaximal, characteristic, complemented
23#21427980C211yesmaximal, characteristic, complemented
24#21427979C211yesmaximal, characteristic, complemented
25#21427975C211yesmaximal, characteristic, complemented
26#21426763C211yesmaximal, characteristic, complemented
27#21426760C211yesmaximal, characteristic, complemented
28#21426690C211yesmaximal, characteristic, complemented
29#21426597C211yesmaximal, characteristic, complemented
30C4×#14273695C211yesmaximal, characteristic, complemented
31C59×#2455C211yesmaximal, characteristic, complemented
32C22×D4×D59C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34C23×C4×D59C2211yescharacteristic
35#16837988—28no—
36C2×#14273722C2211yescharacteristic, complemented
37C2×#14273720C2211yescharacteristic, complemented
38C2×#14273713C2211yescharacteristic, complemented
39C2×#14273713C2211yescharacteristic, complemented
40C2×#14273712C2211yescharacteristic
41C2×#14273712C2211yescharacteristic, complemented
42C2×#14273712C2211yescharacteristic, complemented
43C2×#14273712C2211yescharacteristic, complemented
44C2×#14273709C2211yescharacteristic
45C2×#14273708C2211yescharacteristic, complemented
46C2×#14273707C2211yescharacteristic
47C2×#14273701C2211yescharacteristic, complemented
48C2×#14273700C2211yescharacteristic
49C2×#14273698C2211yescharacteristic, complemented
50C2×#14273697C2211yescharacteristic
51C2×#14273697C2211yescharacteristic
52C2×#14273695C2211yescharacteristic
53C2×#14273695C2211yescharacteristic
54C2×C4×D236C2211yescharacteristic
55C2×D4×Dic59C2211yescharacteristic
56C2×#14273689C2211yescharacteristic
57C2×#14273689C2211yescharacteristic
58C2×#14273689C2211yescharacteristic, complemented
59C2×C4×C22⋊D59C2211yescharacteristic
60C2×C4×C22⋊D59C2211yescharacteristic
61C2×C4×C22⋊D59C2211yescharacteristic
62C2×C4×C22⋊D59C2211yescharacteristic, complemented
63C2×(C22⋊D59)⋊C4C2211yescharacteristic
64C2×(C22⋊D59)⋊C4C2211yescharacteristic
65C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
66C4×D4×D59—28no—
67C2×C4⋊C4×D59C2211yescharacteristic
68C2×C22⋊C4×D59C2211yescharacteristic
69C2×C22⋊C4×D59C2211yescharacteristic
70C2×C42×D59C2211yescharacteristic
71#16837337C2211yescharacteristic, complemented
72#16837331C2211yescharacteristic, complemented
73#16837330C2211yescharacteristic, complemented
74#16837325C2211yescharacteristic, complemented
75#16837325C2211yescharacteristic, complemented
76#16837324C2211yescharacteristic, complemented
77#16837324C2211yescharacteristic, complemented
78#16837320C2211yescharacteristic
79#16837319C2211yescharacteristic
80#16837319C2211yescharacteristic, complemented
81#16837318C2211yescharacteristic
82#16837318C2211yescharacteristic
83#16837318C2211yescharacteristic, complemented
84#16837318C2211yescharacteristic, complemented
85#16837317C2211yescharacteristic
86#16837317C2211yescharacteristic
87#16837316C2211yescharacteristic
88#16837315C2211yescharacteristic, complemented
89#16837314C2211yescharacteristic, complemented
90#16837312C2211yescharacteristic
91#16837311C2211yescharacteristic
92#16837311C2211yescharacteristic
93#16837311C2211yescharacteristic
94#16837311C2211yescharacteristic, complemented
95#16837310C2211yescharacteristic
96#16837310C2211yescharacteristic
97#16837310C2211yescharacteristic
98#16837310C2211yescharacteristic, complemented
99#16837308C2211yescharacteristic, complemented
100#16837307C2211yescharacteristic, complemented
101#16837302C2211yescharacteristic, complemented
102#16837302C2211yescharacteristic, complemented
103#16837299C2211yescharacteristic, complemented
104#16837299C2211yescharacteristic, complemented
105#16837298C2211yescharacteristic, complemented
106#16837298C2211yescharacteristic, complemented
107#16837297C2211yescharacteristic, complemented
108#16837297C2211yescharacteristic, complemented
109#16837296C2211yescharacteristic, complemented
110#16837295C2211yescharacteristic, complemented
111#16837295C2211yescharacteristic, complemented
112#16837294C2211yescharacteristic, complemented
113#16837294C2211yescharacteristic, complemented
114#16837293C2211yescharacteristic, complemented
115#16837293C2211yescharacteristic, complemented
116#16837293C2211yescharacteristic, complemented
117#16837292C2211yescharacteristic, complemented
118#16837292C2211yescharacteristic, complemented
119#16837291C2211yescharacteristic, complemented
120#16837290C2211yescharacteristic, complemented
121#16837290C2211yescharacteristic, complemented
122#16837290C2211yescharacteristic, complemented
123#16837289C2211yescharacteristic, complemented
124#16837289C2211yescharacteristic, complemented
125#16837288C2211yescharacteristic, complemented
126#16837288C2211yescharacteristic, complemented
127#16837288C2211yescharacteristic, complemented
128#16837287C2211yescharacteristic, complemented
129#16837284C2211yescharacteristic, complemented
130#16837283C2211yescharacteristic, complemented
131#16837282C2211yescharacteristic, complemented
132#16837281C2211yescharacteristic, complemented
133#16837281C2211yescharacteristic, complemented
134#16837280C2211yescharacteristic
135#16837280C2211yescharacteristic
136#16837280C2211yescharacteristic, complemented
137#16837279C2211yescharacteristic, complemented
138#16837278C2211yescharacteristic
139#16837278C2211yescharacteristic
140#16837278C2211yescharacteristic, complemented
141#16837278C2211yescharacteristic, complemented
142#16837278C2211yescharacteristic, complemented
143#16837276C2211yescharacteristic, complemented
144#16837275C2211yescharacteristic, complemented
145#16837274C2211yescharacteristic, complemented
146#16837274C2211yescharacteristic, complemented
147#16837273C2211yescharacteristic
148#16837273C2211yescharacteristic
149#16837273C2211yescharacteristic
150#16837273C2211yescharacteristic
151#16837273C2211yescharacteristic, complemented
152#16837273C2211yescharacteristic, complemented
153#16837273C2211yescharacteristic, complemented
154#16837273C2211yescharacteristic, complemented
155#16837273C2211yescharacteristic, complemented
156#16837265C2211yescharacteristic, complemented
157#16837264C2211yescharacteristic
158#16837264C2211yescharacteristic
159#16837264C2211yescharacteristic, complemented
160#16837264C2211yescharacteristic, complemented
161#16837263C2211yescharacteristic, complemented
162#16837261C2211yescharacteristic
163#16837259C2211yescharacteristic
164#16837257C2211yescharacteristic
165#16837257C2211yescharacteristic
166#16837257C2211yescharacteristic
167#16837257C2211yescharacteristic
168C22⋊C4×Dic59C2211yescharacteristic, complemented
169C4×(C2×D59)⋊C4C2211yescharacteristic
170C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
171C4×C22⋊Dic59C2211yescharacteristic, complemented
172#16837249C2211yescharacteristic
173#16837249C2211yescharacteristic, complemented
174C2×#123×C59C2211yescharacteristic, complemented
175C2×#123×C59C2211yescharacteristic, complemented
176C2×C4×D4×C59C2211yescharacteristic
177C2×C4×D4×C59C2211yescharacteristic, complemented
178C59×#399C2211yescharacteristic, complemented
179C59×#394C2211yescharacteristic
180C59×#394C2211yescharacteristic, complemented
181C59×#392C2211yescharacteristic
182C59×#389C2211yescharacteristic, complemented
183C59×#389C2211yescharacteristic, complemented
184C59×#388C2211yescharacteristic, complemented
185C59×#388C2211yescharacteristic, complemented
186C59×#385C2211yescharacteristic, complemented
187C59×#385C2211yescharacteristic, complemented
188C59×#385C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C24×D59C2311yescharacteristic
191C22×Dic118C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C2×D4×D59—24no—
205C2×D4×D59—24no—
206C2×D4×D59—24no—
207C23×Dic59C2311yescharacteristic
208C23×Dic59C2311yescharacteristic
209C22×C4×D59—24no—
210C22×C4×D59—24no—
211C22×C4×D59—42no—
212C22×C4×D59—42no—
213C22×C4×D59—42no—
214C22×C4×D59—42no—
215C22×C4×D59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219C22×C4×D59C2311yescharacteristic
220C22×C4×D59C2311yescharacteristic
221C22×C4×D59C2311yescharacteristic
222C22×C4×D59C2311yescharacteristic
223C22×C4×D59C2311yescharacteristic
224C22×C4×D59C2311yescharacteristic
225#14273722—24no—
226#14273720—24no—
227#14273713—24no—
228#14273713—24no—
229#14273712—24no—
230#14273712—24no—
231#14273712—42no—
232#14273712—42no—
233#14273709—24no—
234#14273708—42no—
235#14273707—24no—
236#14273701—24no—
237#14273700—24no—
238#14273698—24no—
239#14273697—24no—
240#14273697—24no—
241#14273695—24no—
242#14273695—24no—
243C4×D236—24no—
244D4×Dic59—24no—
245#14273689—24no—
246#14273689—24no—
247#14273689—42no—
248C4×C22⋊D59—24no—
249C4×C22⋊D59—24no—
250C4×C22⋊D59—24no—
251C4×C22⋊D59—42no—
252(C22⋊D59)⋊C4—24no—
253(C22⋊D59)⋊C4—24no—
254(C22⋊D59)⋊C4—42no—
255C2×C4⋊Dic59C2311yescharacteristic
256C2×C4⋊Dic59C2311yescharacteristic
257C2×C4⋊Dic59C2311yescharacteristic
258C2×C4⋊Dic59C2311yescharacteristic
259C2×C4⋊Dic59C2311yescharacteristic
260C2×Dic59⋊C4C2311yescharacteristic
261C2×Dic59⋊C4C2311yescharacteristic
262C2×Dic59⋊C4C2311yescharacteristic
263C2×Dic59⋊C4C2311yescharacteristic
264C2×Dic59⋊C4C2311yescharacteristic
265C2×Dic59⋊C4C2311yescharacteristic
266C2×Dic59⋊C4C2311yescharacteristic
267C2×Dic59⋊C4C2311yescharacteristic
268C2×Dic59⋊C4C2311yescharacteristic
269C2×Dic59⋊C4C2311yescharacteristic
270C2×Dic59⋊C4C2311yescharacteristic
271C2×Dic59⋊C4C2311yescharacteristic
272C4⋊C4×D59—24no—
273C2×C22⋊Dic59C2311yescharacteristic
274C2×C22⋊Dic59C2311yescharacteristic
275C2×C22⋊Dic59C2311yescharacteristic
276C2×C22⋊Dic59C2311yescharacteristic
277C2×C22⋊Dic59C2311yescharacteristic
278C2×C22⋊Dic59C2311yescharacteristic
279C2×C22⋊Dic59C2311yescharacteristic
280C2×C22⋊Dic59C2311yescharacteristic
281C2×C22⋊Dic59C2311yescharacteristic
282C2×C22⋊Dic59C2311yescharacteristic
283C2×C22⋊Dic59C2311yescharacteristic
284C2×C22⋊Dic59C2311yescharacteristic
285C2×(C2×D59)⋊C4C2311yescharacteristic
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C2×(C2×D59)⋊C4C2311yescharacteristic
288C2×(C2×D59)⋊C4C2311yescharacteristic
289C2×(C2×D59)⋊C4C2311yescharacteristic
290C2×(C2×D59)⋊C4C2311yescharacteristic
291C2×(C2×D59)⋊C4C2311yescharacteristic
292C2×(C2×D59)⋊C4C2311yescharacteristic
293C2×(C2×D59)⋊C4C2311yescharacteristic
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
315C22⋊C4×D59—24no—
316C22⋊C4×D59D418yescomplemented
317C2×C4×Dic59C2311yescharacteristic
318C2×C4×Dic59C2311yescharacteristic
319C2×C4×Dic59C2311yescharacteristic
320C2×C4×Dic59C2311yescharacteristic
321C2×C4×Dic59C2311yescharacteristic
322C2×C4×Dic59C2311yescharacteristic
323C2×C4×Dic59C2311yescharacteristic
324C2×C4×Dic59C2311yescharacteristic
325C42×D59—24no—
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
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
352C22×D4×C59C2311yescharacteristic
353C22×D4×C59C2311yescharacteristic
354C22×D4×C59C2311yescharacteristic
355C23×C4×C59C2311yescharacteristic
356C23×C4×C59C2311yescharacteristic
357C23×C4×C59C2311yescharacteristic
358#123×C59—24no—
359#123×C59—42no—
360C4×D4×C59—24no—
361C4×D4×C59—42no—
362C2×C4⋊C4×C59C2311yescharacteristic
363C2×C4⋊C4×C59C2311yescharacteristic
364C2×C4⋊C4×C59C2311yescharacteristic
365C2×C4⋊C4×C59C2311yescharacteristic
366C2×C4⋊C4×C59C2311yescharacteristic
367C2×C4⋊C4×C59C2311yescharacteristic
368C2×C4⋊C4×C59C2311yescharacteristic
369C2×C4⋊C4×C59C2311yescharacteristic
370C2×C4⋊C4×C59C2311yescharacteristic
371C2×C22⋊C4×C59C2311yescharacteristic
372C2×C22⋊C4×C59C2311yescharacteristic
373C2×C22⋊C4×C59C2311yescharacteristic
374C2×C22⋊C4×C59C2311yescharacteristic
375C2×C22⋊C4×C59C2311yescharacteristic
376C2×C22⋊C4×C59C2311yescharacteristic
377C2×C22⋊C4×C59C2311yescharacteristic
378C2×C22⋊C4×C59C2311yescharacteristic
379C2×C22⋊C4×C59C2311yescharacteristic
380C2×C22⋊C4×C59C2311yescharacteristic
381C2×C22⋊C4×C59C2311yescharacteristic
382C2×C22⋊C4×C59C2311yescharacteristic
383C2×C42×C59C2311yescharacteristic
384C2×C42×C59C2311yescharacteristic
385#95×C59C2311yescharacteristic
386#95×C59C2311yescharacteristic
387#95×C59C2311yescharacteristic
388#95×C59C2311yescharacteristic
389#95×C59C2311yescharacteristic
390#95×C59C2311yescharacteristic
391C24×C59C2411yescharacteristic
392C24×C59C2411yescharacteristic
393C24×C59C2411yescharacteristic
394C23×D59—22no—
395C23×D59—22no—
396C23×D59—22no—
397C23×D59—22no—
398C23×D59—41no—
399C23×D59—41no—
400C23×D59—41no—
401C23×D59—41no—
402C23×D59—41no—
403C23×D59—41no—
404C23×D59—41no—
405C23×D59—41no—
406C23×D59C2×D414yes—
407C23×D59#4114yes—
408C23×D59C2411yescharacteristic
409C23×D59C2411yescharacteristic
410C23×D59C2411yescharacteristic
411C23×D59C2411yescharacteristic
412C2×D4×C59—22no—
413C2×D4×C59—22no—
414C2×D4×C59—22no—
415C2×D4×C59—22no—
416C2×D4×C59—22no—
417C2×D4×C59—41no—
418C2×D4×C59—41no—
419C2×D4×C59—41no—
420C2×D4×C59—41no—
421C22×C4×C59—22no—
422C22×C4×C59—22no—
423C22×C4×C59—22no—
424C22×C4×C59—22no—
425C22×C4×C59—22no—
426C22×C4×C59—41no—
427C22×C4×C59—41no—
428C22×C4×C59—41no—
429C22×C4×C59—41no—
430C22×C4×C59C2411yescharacteristic
431C22×C4×C59C2411yescharacteristic
432C22×C4×C59C2411yescharacteristic
433C22×C4×C59C2411yescharacteristic
434C22×C4×C59C2411yescharacteristic
435C22×C4×C59C2411yescharacteristic
436C22×C4×C59C2411yescharacteristic
437C22×C4×C59C2411yescharacteristic
438C22×C4×C59C2411yescharacteristic
439C22×C4×C59C2411yescharacteristic
440C22×C4×C59C2411yescharacteristic
441C22×C4×C59C2411yescharacteristic
442C2×C22⋊D59—22no—
443C2×C22⋊D59—22no—
444C2×C22⋊D59—22no—
445C2×C22⋊D59—22no—
446C2×C22⋊D59—22no—
447C2×C22⋊D59—22no—
448C2×C22⋊D59—22no—
449C2×C22⋊D59—22no—
450C2×C22⋊D59—22no—
451C2×C22⋊D59—22no—
452C2×C22⋊D59—22no—
453C2×C22⋊D59—22no—
454C2×C22⋊D59—22no—
455C2×C22⋊D59—22no—
456C2×C22⋊D59—41no—
457C2×C22⋊D59—41no—
458C2×C22⋊D59—41no—
459C2×C22⋊D59—41no—
460C2×C22⋊D59—41no—
461C2×C22⋊D59—41no—
462C2×C22⋊D59—41no—
463C2×C22⋊D59—41no—
464C2×C22⋊D59—41no—
465C2×C22⋊D59—41no—
466C22×Dic59—22no—
467C22×Dic59—22no—
468C22×Dic59—22no—
469C22×Dic59—22no—
470C22×Dic59—41no—
471C22×Dic59—41no—
472C22×Dic59C2411yescharacteristic
473C22×Dic59C2411yescharacteristic
474C22×Dic59C2411yescharacteristic
475C22×Dic59C2411yescharacteristic
476C22×Dic59C2411yescharacteristic
477C22×Dic59C2411yescharacteristic
478C22×Dic59C2411yescharacteristic
479C22×Dic59C2411yescharacteristic
480C22×Dic59C2411yescharacteristic
481C22×Dic59C2411yescharacteristic
482C22×Dic59C2411yescharacteristic
483C22×Dic59C2411yescharacteristic
484D4×D59—232no—
485C2×D236—22no—
486C2×D236—22no—
487C2×D236—22no—
488C2×D236—22no—
489C2×D236—22no—
490C2×D236—22no—
491C2×D236—22no—
492C2×D236—22no—
493C2×D236—41no—
494C2×D236—41no—
495C2×D236—41no—
496C2×D236—41no—
497C2×C4×D59—22no—
498C2×C4×D59—22no—
499C2×C4×D59—22no—
500C2×C4×D59—22no—
501C2×C4×D59—22no—
502C2×C4×D59—22no—
503C2×C4×D59—22no—
504C2×C4×D59—22no—
505C2×C4×D59—22no—
506C2×C4×D59—22no—
507C2×C4×D59—22no—
508C2×C4×D59—22no—
509C2×C4×D59—22no—
510C2×C4×D59—22no—
511C2×C4×D59—22no—
512C2×C4×D59—416no—
513C2×C4×D59—416no—
514C2×C4×D59—41no—
515C2×C4×D59—41no—
516C2×C4×D59—41no—
517C2×C4×D59—41no—
518C2×C4×D59—41no—
519C2×C4×D59—41no—
520C2×C4×D59—41no—
521C2×C4×D59—41no—
522C2×C4×D59—41no—
523C2×C4×D59—41no—
524C2×C4×D59—41no—
525C2×C4×D59—41no—
526C2×C4×D59C2×D414yes—
527C2×C4×D59C2×D414yes—
528C2×C4×D59#4114yes—
529C2×Dic118—22no—
530C2×Dic118—41no—
531C2×Dic118—41no—
532C4⋊C4×C59—22no—
533C4⋊C4×C59—22no—
534C4⋊C4×C59—22no—
535C4⋊C4×C59—22no—
536C4⋊C4×C59—22no—
537C4⋊C4×C59—22no—
538C4⋊C4×C59—41no—
539C4⋊C4×C59—41no—
540C4⋊C4×C59—41no—
541C22⋊C4×C59—22no—
542C22⋊C4×C59—22no—
543C22⋊C4×C59—22no—
544C22⋊C4×C59—22no—
545C22⋊C4×C59—22no—
546C22⋊C4×C59—22no—
547C22⋊C4×C59—41no—
548C22⋊C4×C59—41no—
549C22⋊C4×C59—41no—
550C22⋊C4×C59—41no—
551C22⋊C4×C59—41no—
552C22⋊C4×C59C2×D414yes—
553C42×C59—22no—
554C42×C59—41no—
555C22⋊Dic59—22no—
556C22⋊Dic59—22no—
557C22⋊Dic59—22no—
558C22⋊Dic59—22no—
559C22⋊Dic59—22no—
560C22⋊Dic59—22no—
561C22⋊Dic59—41no—
562C22⋊Dic59—41no—
563C22⋊Dic59—41no—
564C22⋊Dic59—41no—
565C22⋊Dic59—41no—
566C22⋊Dic59C2×D414yes—
567(C2×D59)⋊C4—22no—
568(C2×D59)⋊C4—22no—
569(C2×D59)⋊C4—22no—
570(C2×D59)⋊C4—22no—
571(C2×D59)⋊C4—22no—
572(C2×D59)⋊C4—22no—
573(C2×D59)⋊C4—22no—
574(C2×D59)⋊C4—22no—
575(C2×D59)⋊C4—22no—
576(C2×D59)⋊C4—22no—
577(C2×D59)⋊C4—22no—
578(C2×D59)⋊C4—22no—
579(C2×D59)⋊C4—22no—
580(C2×D59)⋊C4—22no—
581(C2×D59)⋊C4—22no—
582(C2×D59)⋊C4—22no—
583(C2×D59)⋊C4—22no—
584(C2×D59)⋊C4—22no—
585(C2×D59)⋊C4—41no—
586(C2×D59)⋊C4—41no—
587(C2×D59)⋊C4—41no—
588(C2×D59)⋊C4—41no—
589(C2×D59)⋊C4—41no—
590(C2×D59)⋊C4—41no—
591(C2×D59)⋊C4—41no—
592(C2×D59)⋊C4—41no—
593(C2×D59)⋊C4—41no—
594(C2×D59)⋊C4—41no—
595(C2×D59)⋊C4C2×D414yes—
596(C2×D59)⋊C4C2×D414yes—
597C4⋊Dic59—22no—
598C4⋊Dic59—22no—
599C4⋊Dic59—22no—
600C4⋊Dic59—22no—
601C4⋊Dic59—41no—
602Dic59⋊C4—22no—
603Dic59⋊C4—22no—
604Dic59⋊C4—22no—
605Dic59⋊C4—22no—
606Dic59⋊C4—22no—
607Dic59⋊C4—22no—
608Dic59⋊C4—22no—
609Dic59⋊C4—22no—
610Dic59⋊C4—41no—
611Dic59⋊C4—41no—
612Dic59⋊C4—41no—
613Dic59⋊C4—41no—
614C4×Dic59—22no—
615C4×Dic59—22no—
616C4×Dic59—22no—
617C4×Dic59—22no—
618C4×Dic59—22no—
619C4×Dic59—41no—
620C4×Dic59—41no—
621C4×Dic59—41no—
622C23×C59—21no—
623C23×C59—21no—
624C23×C59—21no—
625C23×C59—21no—
626C23×C59—21no—
627C23×C59—21no—
628C23×C59—21no—
629C23×C59—21no—
630C23×C59—21no—
631C23×C59—21no—
632C23×C59—21no—
633C23×C59—21no—
634C23×C59—21no—
635C23×C59—21no—
636C23×C59—21no—
637C23×C59—21no—
638C23×C59—21no—
639C23×C59—21no—
640C23×C59—21no—
641C23×C59C22×D412yes—
642C23×C59C2×#4112yes—
643C23×C59C2511yescharacteristic
644C22×D59—21no—
645C22×D59—21no—
646C22×D59—21no—
647C22×D59—21no—
648C22×D59—21no—
649C22×D59—21no—
650C22×D59—21no—
651C22×D59—21no—
652C22×D59—21no—
653C22×D59—21no—
654C22×D59—21no—
655C22×D59—21no—
656C22×D59—21no—
657C22×D59—21no—
658C22×D59—21no—
659C22×D59—21no—
660C22×D59—28no—
661C22×D59—28no—
662C22×D59—21no—
663C22×D59—21no—
664C22×D59—21no—
665C22×D59—21no—
666C22×D59—21no—
667C22×D59—21no—
668C22×D59—21no—
669C22×D59—44no—
670C22×D59—44no—
671C22×D59—44no—
672C22×D59—44no—
673C22×D59—44no—
674C22×D59—44no—
675C22×D59—44no—
676C22×D59—44no—
677C22×D59—44no—
678C22×D59—44no—
679C22×D59—44no—
680C22×D59—44no—
681C22×D59C22×D412yes—
682C22×D59C22×D412yes—
683C22×D59C2×#4112yes—
684C22×D59C2×#4112yes—
685C22×D59C2×#4112yes—
686D4×C59—28no—
687D4×C59—44no—
688D4×C59—82no—
689C2×C4×C59—21no—
690C2×C4×C59—21no—
691C2×C4×C59—21no—
692C2×C4×C59—21no—
693C2×C4×C59—21no—
694C2×C4×C59—21no—
695C2×C4×C59—21no—
696C2×C4×C59—21no—
697C2×C4×C59—21no—
698C2×C4×C59—21no—
699C2×C4×C59—21no—
700C2×C4×C59—21no—
701C2×C4×C59—21no—
702C2×C4×C59—21no—
703C2×C4×C59—21no—
704C2×C4×C59—21no—
705C2×C4×C59—21no—
706C2×C4×C59—21no—
707C2×C4×C59—21no—
708C2×C4×C59—21no—
709C2×C4×C59—21no—
710C2×C4×C59—21no—
711C2×C4×C59—21no—
712C2×C4×C59—21no—
713C2×C4×C59—21no—
714C2×C4×C59—21no—
715C2×C4×C59—21no—
716C2×C4×C59—21no—
717C2×C4×C59—21no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—44no—
722C2×C4×C59—44no—
723C2×C4×C59—82no—
724C2×C4×C59C22×D412yes—
725C2×C4×C59C22×D412yes—
726C2×C4×C59C2×#4112yes—
727C2×C4×C59H(5,𝔽2)12yes—
728C22⋊D59—28no—
729C22⋊D59—28no—
730C22⋊D59—44no—
731C22⋊D59—44no—
732C22⋊D59—44no—
733C22⋊D59—82no—
734C22⋊D59—82no—
735C22⋊D59—82no—
736C2×Dic59—21no—
737C2×Dic59—21no—
738C2×Dic59—21no—
739C2×Dic59—21no—
740C2×Dic59—21no—
741C2×Dic59—21no—
742C2×Dic59—21no—
743C2×Dic59—21no—
744C2×Dic59—21no—
745C2×Dic59—21no—
746C2×Dic59—21no—
747C2×Dic59—21no—
748C2×Dic59—21no—
749C2×Dic59—21no—
750C2×Dic59—21no—
751C2×Dic59—21no—
752C2×Dic59—21no—
753C2×Dic59—21no—
754C2×Dic59—21no—
755C2×Dic59—21no—
756C2×Dic59—21no—
757C2×Dic59—21no—
758C2×Dic59—21no—
759C2×Dic59—21no—
760C2×Dic59—21no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—44no—
769C2×Dic59—44no—
770C2×Dic59C22×D412yes—
771C2×Dic59C22×D412yes—
772C2×Dic59C2×#4112yes—
773C2×Dic59H(5,𝔽2)12yes—
774D236—28no—
775D236—44no—
776D236—44no—
777D236—82no—
778C4×D59—28no—
779C4×D59—28no—
780C4×D59—44no—
781C4×D59—44no—
782C4×D59—44no—
783C4×D59—44no—
784C4×D59—44no—
785C4×D59—44no—
786C4×D59—44no—
787C4×D59—82no—
788Dic118—82no—
789#34986—591nomaximal, Sylow
790C22×C59—22no—
791C22×C59—22no—
792C22×C59—22no—
793C22×C59—22no—
794C22×C59—22no—
795C22×C59—22no—
796C22×C59—41no—
797C22×C59—41no—
798C22×C59—41no—
799C22×C59—41no—
800C22×C59—41no—
801C22×C59—41no—
802C22×C59—41no—
803C22×C59—41no—
804C22×C59—41no—
805C22×C59—41no—
806C22×C59—41no—
807C22×C59—41no—
808C22×C59—41no—
809C22×C59—41no—
810C22×C59—41no—
811C22×C59C23×D411yescharacteristic
812C22×C59C22×#4111yescharacteristic
813C22×C59C22×#4111yescharacteristic
814C22×C59C2×H(5,𝔽2)11yescharacteristic
815C22×C59C2×H(5,𝔽2)11yescharacteristic
816C22×C59#58511yescharacteristic
817C22×C59#58511yescharacteristic
818C2×D59—22no—
819C2×D59—22no—
820C2×D59—22no—
821C2×D59—22no—
822C2×D59—22no—
823C2×D59—22no—
824C2×D59—22no—
825C2×D59—22no—
826C2×D59—22no—
827C2×D59—22no—
828C2×D59—22no—
829C2×D59—22no—
830C2×D59—416no—
831C2×D59—416no—
832C2×D59—41no—
833C2×D59—41no—
834C2×D59—41no—
835C2×D59—41no—
836C2×D59—41no—
837C2×D59—41no—
838C2×D59—41no—
839C2×D59—41no—
840C2×D59—41no—
841C2×D59—41no—
842C2×D59—41no—
843C2×D59—41no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—41no—
847C2×D59#52514yes—
848C4×C59—22no—
849C4×C59—22no—
850C4×C59—22no—
851C4×C59—22no—
852C4×C59—41no—
853C4×C59—41no—
854C4×C59—41no—
855C4×C59—41no—
856C4×C59—41no—
857C4×C59—41no—
858C4×C59—41no—
859C4×C59—41no—
860Dic59—22no—
861Dic59—22no—
862Dic59—22no—
863Dic59—22no—
864Dic59—41no—
865Dic59—41no—
866Dic59—41no—
867Dic59—41no—
868Dic59—41no—
869Dic59—41no—
870Dic59—41no—
871Dic59—41no—
872C2×#538—591no—
873C22×C4×D4—591no—
874#2855—591no—
875#2854—591no—
876#2849—591no—
877#2849—591no—
878#2626—591no—
879#2617—591no—
880#2613—591no—
881#2613—591no—
882#2466—591no—
883#2466—591no—
884#2466—591no—
885#2466—591no—
886#2459—591no—
887#2459—591no—
888#2459—591no—
889#2459—591no—
890#2456—591no—
891#2456—591no—
892#2456—591no—
893#2456—591no—
894#2455—591no—
895#2455—591no—
896#2455—591no—
897#2455D5911yescharacteristic, complemented
898#2322—591no—
899#2322—591no—
900#2312—591no—
901C4×#120—591no—
902C4×#120—591no—
903C2×C59—42no—
904C2×C59—42no—
905C2×C59—81no—
906C2×C59C2×#52511yescharacteristic
907C2×C59#345911yescharacteristic
908C2×C59#345911yescharacteristic
909C2×C59#348411yescharacteristic
910C2×C59#348511yescharacteristic
911C2×C59#350611yescharacteristic
912C2×C59#350611yescharacteristic
913D59—24no—
914D59—42no—
915D59—42no—
916D59—81no—
917C23×D4—591no—
918C24×C4—591no—
919C24×C4—591no—
920#538—1188no—
921C2×#126—591no—
922C2×#126—591no—
923C2×#124—591no—
924C2×#124—591no—
925C2×#123—591no—
926C2×#123—591no—
927C2×#123—591no—
928C2×#123—591no—
929C2×#123—591no—
930C2×#123—591no—
931C2×#123C2×D5911yescharacteristic, complemented
932C2×#123C2×D5911yescharacteristic, complemented
933C2×C22⋊Q8—591no—
934C2×#121—591no—
935C2×#121—591no—
936C2×#121—591no—
937C2×#120—591no—
938C2×#120—591no—
939C2×#120—591no—
940C2×#120—591no—
941C2×C4×D4—591no—
942C2×C4×D4—591no—
943C2×C4×D4—591no—
944C2×C4×D4—591no—
945C2×C4×D4—591no—
946C2×C4×D4—591no—
947C2×C4×D4—591no—
948C2×C4×D4—591no—
949C2×C4×D4—591no—
950C2×C4×D4—591no—
951C2×C4×D4—591no—
952C2×C4×D4—591no—
953C2×C4×D4—1188no—
954C2×C4×D4C2×D5911yescharacteristic
955C2×C4×D4C2×D5911yescharacteristic, complemented
956C22×C4⋊C4—591no—
957C22×C22⋊C4—591no—
958C22×C22⋊C4—591no—
959C22×C42—591no—
960#399—591no—
961#399C2×D5911yescharacteristic, complemented
962#397—591no—
963#397—591no—
964#396—591no—
965#396—591no—
966#396—591no—
967#396—591no—
968#394—591no—
969#394—591no—
970#394—591no—
971#394—591no—
972#394—591no—
973#394—591no—
974#394—591no—
975#394—591no—
976#394—591no—
977#394—591no—
978#394C2×D5911yescharacteristic
979#394C2×D5911yescharacteristic, complemented
980#393—591no—
981#393—591no—
982#392—591no—
983#392—591no—
984#392—591no—
985#392—591no—
986#392—591no—
987#392—591no—
988#392—591no—
989#392—591no—
990#392—591no—
991#392C2×D5911yescharacteristic
992#391—591no—
993#391—591no—
994#390—591no—
995#390—591no—
996#389—591no—
997#389—591no—
998#389—591no—
999#389—591no—
1000#389—591no—
1001#389—591no—
1002#389C2×D5911yescharacteristic, complemented
1003#389C2×D5911yescharacteristic, complemented
1004#388—591no—
1005#388—591no—
1006#388—591no—
1007#388—591no—
1008#388—591no—
1009#388—591no—
1010#388—591no—
1011#388—591no—
1012#388—591no—
1013#388—591no—
1014#388—591no—
1015#388—591no—
1016#388—591no—
1017#388—591no—
1018#388C2×D5911yescharacteristic, complemented
1019#388C2×D5911yescharacteristic, complemented
1020#387—591no—
1021#387—591no—
1022#387—591no—
1023#387—591no—
1024#387—591no—
1025#387—591no—
1026#387—591no—
1027#387—591no—
1028#386—591no—
1029#386—591no—
1030#386—591no—
1031#386—591no—
1032#386—591no—
1033#386—591no—
1034#386—591no—
1035#386—591no—
1036#386—591no—
1037#386—591no—
1038#386—591no—
1039#386—591no—
1040#385—591no—
1041#385—591no—
1042#385—591no—
1043#385—591no—
1044#385—591no—
1045#385—591no—
1046#385—591no—
1047#385—591no—
1048#385—591no—
1049#385—591no—
1050#385—591no—
1051#385—591no—
1052#385—591no—
1053#385C2×D5911yescharacteristic, complemented
1054#385C2×D5911yescharacteristic, complemented
1055#385C2×D5911yescharacteristic, complemented
1056#381—591no—
1057#381—591no—
1058#381—591no—
1059#381—591no—
1060#381—591no—
1061#381—591no—
1062#380—591no—
1063#380—591no—
1064#379—591no—
1065#379—591no—
1066#379—591no—
1067#379—591no—
1068C4×C22⋊C4—591no—
1069C4×C22⋊C4—591no—
1070C4×C22⋊C4—591no—
1071C4×C22⋊C4—591no—
1072C4×C22⋊C4—591no—
1073C4×C22⋊C4—591no—
1074C59#3498611yescharacteristic, complemented, Sylow
1075C25—591no—
1076C25—591no—
1077C22×Q8—591no—
1078C22×D4—591no—
1079C22×D4—591no—
1080C22×D4—591no—
1081C22×D4—591no—
1082C22×D4—591no—
1083C22×D4—591no—
1084C22×D4—591no—
1085C22×D4—591no—
1086C22×D4—591no—
1087C22×D4—591no—
1088C22×D4—591no—
1089C22×D4—591no—
1090C22×D4—1184no—
1091C22×D4—1184no—
1092C22×D4—1184no—
1093C22×D4C22×D5911yescharacteristic
1094C22×D4C22×D5911yescharacteristic
1095C22×D4C22×D5911yescharacteristic
1096C23×C4—591no—
1097C23×C4—591no—
1098C23×C4—591no—
1099C23×C4—591no—
1100C23×C4—591no—
1101C23×C4—591no—
1102C23×C4—591no—
1103C23×C4—591no—
1104C23×C4—591no—
1105C23×C4—591no—
1106C23×C4—591no—
1107C23×C4—591no—
1108C23×C4—1184no—
1109C23×C4—1184no—
1110C23×C4—2362no—
1111C23×C4—2362no—
1112C23×C4—2362no—
1113C23×C4—2362no—
1114C23×C4C22×D5911yescharacteristic
1115C23×C4C22×D5911yescharacteristic
1116C23×C4C22×D5911yescharacteristic
1117#126—1184no—
1118#126—1184no—
1119#124—1184no—
1120#124—1184no—
1121#123—24no—
1122#123—42no—
1123#123—1184no—
1124#123—1184no—
1125#123—1184no—
1126#123—2362no—
1127#123—2362no—
1128#123—2362no—
1129C22⋊Q8—1184no—
1130#121—1184no—
1131#121—1184no—
1132#121—1184no—
1133#120—1184no—
1134#120—1184no—
1135#120—1184no—
1136#120—1184no—
1137C4×D4—24no—
1138C4×D4—42no—
1139C4×D4—1184no—
1140C4×D4—1184no—
1141C4×D4—1184no—
1142C4×D4—1184no—
1143C4×D4—1184no—
1144C4×D4—1184no—
1145C4×D4—1184no—
1146C4×D4—1184no—
1147C4×D4—1184no—
1148C4×D4—2362no—
1149C4×D4—2362no—
1150C4×D4—2362no—
1151C2×C4⋊C4—591no—
1152C2×C4⋊C4—591no—
1153C2×C4⋊C4—591no—
1154C2×C4⋊C4—591no—
1155C2×C4⋊C4—591no—
1156C2×C4⋊C4—591no—
1157C2×C4⋊C4—591no—
1158C2×C4⋊C4—591no—
1159C2×C4⋊C4—591no—
1160C2×C4⋊C4—591no—
1161C2×C4⋊C4—591no—
1162C2×C4⋊C4—591no—
1163C2×C4⋊C4—591no—
1164C2×C4⋊C4—591no—
1165C2×C4⋊C4—591no—
1166C2×C4⋊C4—591no—
1167C2×C4⋊C4—591no—
1168C2×C4⋊C4—1184no—
1169C2×C4⋊C4C22×D5911yescharacteristic
1170C2×C4⋊C4C22×D5911yescharacteristic
1171C2×C4⋊C4C22×D5911yescharacteristic
1172C2×C4⋊C4C22×D5911yescharacteristic
1173C2×C4⋊C4C22×D5911yescharacteristic
1174C2×C4⋊C4C22×D5911yescharacteristic
1175C2×C4⋊C4C22×D5911yescharacteristic
1176C2×C4⋊C4C22×D5911yescharacteristic
1177C2×C4⋊C4C22×D5911yescharacteristic
1178C2×C22⋊C4—591no—
1179C2×C22⋊C4—591no—
1180C2×C22⋊C4—591no—
1181C2×C22⋊C4—598no—
1182C2×C22⋊C4—591no—
1183C2×C22⋊C4—591no—
1184C2×C22⋊C4—591no—
1185C2×C22⋊C4—591no—
1186C2×C22⋊C4—591no—
1187C2×C22⋊C4—591no—
1188C2×C22⋊C4—591no—
1189C2×C22⋊C4—591no—
1190C2×C22⋊C4—591no—
1191C2×C22⋊C4—591no—
1192C2×C22⋊C4—591no—
1193C2×C22⋊C4—591no—
1194C2×C22⋊C4—591no—
1195C2×C22⋊C4—591no—
1196C2×C22⋊C4—591no—
1197C2×C22⋊C4—591no—
1198C2×C22⋊C4—591no—
1199C2×C22⋊C4—591no—
1200C2×C22⋊C4—591no—
1201C2×C22⋊C4—591no—
1202C2×C22⋊C4—591no—
1203C2×C22⋊C4—591no—
1204C2×C22⋊C4—591no—
1205C2×C22⋊C4—591no—
1206C2×C22⋊C4—591no—
1207C2×C22⋊C4—591no—
1208C2×C22⋊C4—591no—
1209C2×C22⋊C4—591no—
1210C2×C22⋊C4—591no—
1211C2×C22⋊C4—591no—
1212C2×C22⋊C4—591no—
1213C2×C22⋊C4—591no—
1214C2×C22⋊C4—591no—
1215C2×C22⋊C4—591no—
1216C2×C22⋊C4—591no—
1217C2×C22⋊C4—591no—
1218C2×C22⋊C4—591no—
1219C2×C22⋊C4—591no—
1220C2×C22⋊C4—591no—
1221C2×C22⋊C4—1184no—
1222C2×C22⋊C4C22×D5911yescharacteristic
1223C2×C22⋊C4C22×D5911yescharacteristic
1224C2×C22⋊C4C22×D5911yescharacteristic
1225C2×C22⋊C4C22×D5911yescharacteristic
1226C2×C22⋊C4C22×D5911yescharacteristic
1227C2×C22⋊C4C22×D5911yescharacteristic
1228C2×C22⋊C4C22×D5911yescharacteristic
1229C2×C22⋊C4C22×D5911yescharacteristic
1230C2×C22⋊C4C22×D5911yescharacteristic
1231C2×C22⋊C4C22×D5911yescharacteristic
1232C2×C22⋊C4C22×D5911yescharacteristic
1233C2×C22⋊C4C22×D5911yescharacteristic
1234C2×C42—591no—
1235C2×C42—591no—
1236C2×C42—591no—
1237C2×C42—591no—
1238C2×C42—591no—
1239C2×C42—591no—
1240C2×C42—591no—
1241C2×C42—591no—
1242C2×C42—1184no—
1243C2×C42C22×D5911yescharacteristic
1244C2×C42C22×D5911yescharacteristic
1245#95—591no—
1246#95—591no—
1247#95—591no—
1248#95—591no—
1249#95—591no—
1250#95—591no—
1251#95—591no—
1252#95—591no—
1253#95—591no—
1254#95—591no—
1255#95—591no—
1256#95—591no—
1257#95—591no—
1258#95—591no—
1259#95—591no—
1260#95—591no—
1261#95—591no—
1262#95—591no—
1263#95—591no—
1264#95—591no—
1265#95—591no—
1266#95—591no—
1267#95—591no—
1268#95—591no—
1269#95—591no—
1270#95—591no—
1271#95C22×D5911yescharacteristic
1272#95C22×D5911yescharacteristic
1273#95C22×D5911yescharacteristic
1274#95C22×D5911yescharacteristic
1275#95C22×D5911yescharacteristic
1276#95C22×D5911yescharacteristic
1277C24—591no—
1278C24—591no—
1279C24—591no—
1280C24—594no—
1281C24—594no—
1282C24—591no—
1283C24—1182no—
1284C24—1182no—
1285C24—1182no—
1286C24—1182no—
1287C24—2361no—
1288C24—2361no—
1289C24—2361no—
1290C24—2361no—
1291C24—2361no—
1292C24—2361no—
1293C24—2361no—
1294C24—2361no—
1295C24C23×D5911yescharacteristic
1296C24C23×D5911yescharacteristic
1297C24C23×D5911yescharacteristic
1298C2×Q8—1182no—
1299C2×Q8—2361no—
1300C2×Q8—2361no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—1182no—
1311C2×D4—1182no—
1312C2×D4—1182no—
1313C2×D4—1182no—
1314C2×D4—1182no—
1315C2×D4—1182no—
1316C2×D4—1182no—
1317C2×D4—1182no—
1318C2×D4—1182no—
1319C2×D4—1182no—
1320C2×D4—11832no—
1321C2×D4—1182no—
1322C2×D4—1182no—
1323C2×D4—1182no—
1324C2×D4—1182no—
1325C2×D4—1182no—
1326C2×D4—1182no—
1327C2×D4—1182no—
1328C2×D4—1182no—
1329C2×D4—1182no—
1330C2×D4—1182no—
1331C2×D4—1182no—
1332C2×D4—1182no—
1333C2×D4—2361no—
1334C2×D4—2361no—
1335C2×D4—2361no—
1336C2×D4—2361no—
1337C2×D4—2361no—
1338C2×D4—2361no—
1339C2×D4—2361no—
1340C2×D4—2361no—
1341C2×D4—2361no—
1342C2×D4—2361no—
1343C2×D4—2361no—
1344C2×D4—2361no—
1345C2×D4—2361no—
1346C2×D4—2361no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—41no—
1356C22×C4—591no—
1357C22×C4—591no—
1358C22×C4—591no—
1359C22×C4—591no—
1360C22×C4—594no—
1361C22×C4—594no—
1362C22×C4—594no—
1363C22×C4—591no—
1364C22×C4—591no—
1365C22×C4—591no—
1366C22×C4—591no—
1367C22×C4—591no—
1368C22×C4—591no—
1369C22×C4—591no—
1370C22×C4—591no—
1371C22×C4—1182no—
1372C22×C4—1182no—
1373C22×C4—1182no—
1374C22×C4—1182no—
1375C22×C4—1182no—
1376C22×C4—1182no—
1377C22×C4—1182no—
1378C22×C4—1182no—
1379C22×C4—1182no—
1380C22×C4—1182no—
1381C22×C4—1182no—
1382C22×C4—1182no—
1383C22×C4—1182no—
1384C22×C4—1182no—
1385C22×C4—1182no—
1386C22×C4—1182no—
1387C22×C4—1182no—
1388C22×C4—1182no—
1389C22×C4—1182no—
1390C22×C4—2361no—
1391C22×C4—2361no—
1392C22×C4—2361no—
1393C22×C4—2361no—
1394C22×C4—2361no—
1395C22×C4—2361no—
1396C22×C4—2361no—
1397C22×C4—2361no—
1398C22×C4—2361no—
1399C22×C4—2361no—
1400C22×C4—2361no—
1401C22×C4—2361no—
1402C22×C4—23616no—
1403C22×C4—23616no—
1404C22×C4—2361no—
1405C22×C4—2361no—
1406C22×C4C23×D5911yescharacteristic
1407C22×C4C23×D5911yescharacteristic
1408C22×C4C23×D5911yescharacteristic
1409C22×C4C23×D5911yescharacteristic
1410C22×C4C23×D5911yescharacteristic
1411C22×C4C23×D5911yescharacteristic
1412C22×C4C23×D5911yescharacteristic
1413C22×C4C23×D5911yescharacteristic
1414C22×C4C23×D5911yescharacteristic
1415C22×C4C23×D5911yescharacteristic
1416C22×C4C23×D5911yescharacteristic
1417C22×C4C23×D5911yescharacteristic
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—41no—
1425C4⋊C4—41no—
1426C4⋊C4—41no—
1427C4⋊C4—1182no—
1428C4⋊C4—1182no—
1429C4⋊C4—1182no—
1430C4⋊C4—1182no—
1431C4⋊C4—1182no—
1432C4⋊C4—1182no—
1433C4⋊C4—1182no—
1434C4⋊C4—1182no—
1435C4⋊C4—1182no—
1436C4⋊C4—1182no—
1437C4⋊C4—1182no—
1438C4⋊C4—1182no—
1439C4⋊C4—2361no—
1440C4⋊C4—2361no—
1441C4⋊C4—2361no—
1442C4⋊C4—2361no—
1443C4⋊C4—2361no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—594no—
1456C22⋊C4—594no—
1457C22⋊C4—594no—
1458C22⋊C4—1182no—
1459C22⋊C4—1182no—
1460C22⋊C4—1182no—
1461C22⋊C4—1182no—
1462C22⋊C4—1182no—
1463C22⋊C4—1182no—
1464C22⋊C4—1182no—
1465C22⋊C4—1182no—
1466C22⋊C4—1182no—
1467C22⋊C4—1182no—
1468C22⋊C4—1182no—
1469C22⋊C4—1182no—
1470C22⋊C4—1182no—
1471C22⋊C4—1182no—
1472C22⋊C4—1182no—
1473C22⋊C4—1182no—
1474C22⋊C4—1182no—
1475C22⋊C4—1182no—
1476C22⋊C4—1182no—
1477C22⋊C4—1182no—
1478C22⋊C4—1182no—
1479C22⋊C4—1182no—
1480C22⋊C4—1182no—
1481C22⋊C4—1182no—
1482C22⋊C4—2361no—
1483C22⋊C4—2361no—
1484C22⋊C4—2361no—
1485C22⋊C4—2361no—
1486C22⋊C4—2361no—
1487C22⋊C4—2361no—
1488C22⋊C4—2361no—
1489C22⋊C4—2361no—
1490C22⋊C4—2361no—
1491C22⋊C4—2361no—
1492C22⋊C4—2361no—
1493C22⋊C4—2361no—
1494C22⋊C4—2361no—
1495C22⋊C4—2361no—
1496C22⋊C4—2361no—
1497C22⋊C4D4×D5914yes—
1498C42—22no—
1499C42—41no—
1500C42—1182no—
1501C42—1182no—
1502C42—1182no—
1503C42—1182no—
1504C42—1182no—
1505C42—2361no—
1506C42—2361no—
1507C42—2361no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—592no—
1528C23—592no—
1529C23—592no—
1530C23—592no—
1531C23—592no—
1532C23—1188no—
1533C23—1188no—
1534C23—1181no—
1535C23—1181no—
1536C23—1181no—
1537C23—1181no—
1538C23—1181no—
1539C23—1181no—
1540C23—1181no—
1541C23—1181no—
1542C23—1181no—
1543C23—1181no—
1544C23—1181no—
1545C23—1181no—
1546C23—1181no—
1547C23—1181no—
1548C23—1181no—
1549C23—1181no—
1550C23—1181no—
1551C23—1181no—
1552C23—1181no—
1553C23—1181no—
1554C23—1181no—
1555C23—1181no—
1556C23—1181no—
1557C23—2364no—
1558C23—2364no—
1559C23—2364no—
1560C23—2364no—
1561C23—2364no—
1562C23—2364no—
1563C23—2364no—
1564C23—2364no—
1565C23—2364no—
1566C23—2364no—
1567C23—2364no—
1568C23—2364no—
1569C23C2×D4×D5912yes—
1570C23#41×D5912yes—
1571C23C24×D5911yescharacteristic
1572Q8—4722no—
1573D4—28no—
1574D4—44no—
1575D4—82no—
1576D4—1188no—
1577D4—1188no—
1578D4—1188no—
1579D4—4722no—
1580D4—4722no—
1581D4—4722no—
1582D4—4722no—
1583D4—2364no—
1584D4—2364no—
1585D4—2364no—
1586D4—2364no—
1587D4—2364no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—44no—
1621C2×C4—44no—
1622C2×C4—82no—
1623C2×C4—592no—
1624C2×C4—592no—
1625C2×C4—592no—
1626C2×C4—592no—
1627C2×C4—1188no—
1628C2×C4—1188no—
1629C2×C4—1181no—
1630C2×C4—1181no—
1631C2×C4—1181no—
1632C2×C4—1181no—
1633C2×C4—1181no—
1634C2×C4—1181no—
1635C2×C4—1181no—
1636C2×C4—1181no—
1637C2×C4—1181no—
1638C2×C4—1181no—
1639C2×C4—1181no—
1640C2×C4—1181no—
1641C2×C4—1181no—
1642C2×C4—1181no—
1643C2×C4—1181no—
1644C2×C4—1181no—
1645C2×C4—1181no—
1646C2×C4—1181no—
1647C2×C4—1181no—
1648C2×C4—1181no—
1649C2×C4—1181no—
1650C2×C4—1181no—
1651C2×C4—1181no—
1652C2×C4—1181no—
1653C2×C4—1181no—
1654C2×C4—1181no—
1655C2×C4—1181no—
1656C2×C4—1181no—
1657C2×C4—1181no—
1658C2×C4—1181no—
1659C2×C4—1181no—
1660C2×C4—1181no—
1661C2×C4—4722no—
1662C2×C4—2364no—
1663C2×C4—2364no—
1664C2×C4—2364no—
1665C2×C4—2364no—
1666C2×C4—2364no—
1667C2×C4—2364no—
1668C2×C4—2364no—
1669C2×C4—2364no—
1670C2×C4—2364no—
1671C2×C4C2×D4×D5912yes—
1672C2×C4C2×D4×D5912yes—
1673C2×C4#41×D5912yes—
1674C2×C4#1427377212yes—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—22no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—594no—
1697C22—1182no—
1698C22—1182no—
1699C22—1182no—
1700C22—1182no—
1701C22—1182no—
1702C22—1182no—
1703C22—1182no—
1704C22—1182no—
1705C22—1182no—
1706C22—1182no—
1707C22—1182no—
1708C22—1182no—
1709C22—23616no—
1710C22—23616no—
1711C22—2361no—
1712C22—2361no—
1713C22—2361no—
1714C22—2361no—
1715C22—2361no—
1716C22—2361no—
1717C22—2361no—
1718C22—2361no—
1719C22—2361no—
1720C22—2361no—
1721C22—2361no—
1722C22—2361no—
1723C22—2361no—
1724C22—2361no—
1725C22—2361no—
1726C22C22×D4×D5911yescharacteristic
1727C22C2×#41×D5911yescharacteristic
1728C22C2×#41×D5911yescharacteristic
1729C22H(5,𝔽2)×D5911yescharacteristic
1730C22C2×#1427377211yescharacteristic
1731C22#1683823811yescharacteristic
1732C22#1683823911yescharacteristic
1733C4—22no—
1734C4—22no—
1735C4—22no—
1736C4—22no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—1182no—
1746C4—1182no—
1747C4—1182no—
1748C4—1182no—
1749C4—2361no—
1750C4—2361no—
1751C4—2361no—
1752C4—2361no—
1753C4—2361no—
1754C4—2361no—
1755C4—2361no—
1756C4—2361no—
1757C2—42no—
1758C2—42no—
1759C2—81no—
1760C2—1184no—
1761C2—4721no—
1762C2—2362no—
1763C2—2362no—
1764C2#525×D5911yescharacteristic
1765C2#2143750311yescharacteristic
1766C2#2143750411yescharacteristic
1767C2#2143772411yescharacteristic
1768C2#2143773511yescharacteristic
1769C2#2143794411yescharacteristic
1770C2#2143794611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2455C2
hypercenter#2455D59
hypocenterC59#34986
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2455

Complements

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

NH ≅ G/Ntype
1. C2×#16837988C2semidirect
2. C2×C4×D4×D59C2semidirect
3. #21432434C2semidirect
4. #21432423C2semidirect
5. #21432391C2semidirect
6. #21432385C2semidirect
7. #21429902C2semidirect
8. #21429835C2semidirect
9. #21429809C2semidirect
10. #21429807C2semidirect
11. #21428138C2semidirect
12. #21428134C2semidirect
13. #21428129C2semidirect
14. #21428125C2semidirect
15. #21428038C2semidirect
16. #21428034C2semidirect
17. #21428031C2semidirect
18. #21428027C2semidirect
19. #21427995C2semidirect
20. #21427989C2semidirect
21. #21427984C2semidirect
22. #21427982C2semidirect
23. #21427980C2semidirect
24. #21427979C2semidirect
25. #21427975C2semidirect
26. #21426763C2semidirect
27. #21426760C2semidirect
28. #21426690C2semidirect
29. #21426597C2semidirect
30. C4×#14273695C2semidirect
31. C59×#2455C2semidirect
36. C2×#14273722C22semidirect
37. C2×#14273720C22semidirect
38. C2×#14273713C22semidirect
39. C2×#14273713C22semidirect
41. C2×#14273712C22semidirect
42. C2×#14273712C22semidirect
43. C2×#14273712C22semidirect
45. C2×#14273708C22semidirect
47. C2×#14273701C22semidirect
49. C2×#14273698C22semidirect
58. C2×#14273689C22semidirect
62. C2×C4×C22⋊D59C22semidirect
65. C2×(C22⋊D59)⋊C4C22semidirect
71. #16837337C22semidirect
72. #16837331C22semidirect
73. #16837330C22semidirect
74. #16837325C22semidirect
75. #16837325C22semidirect
76. #16837324C22semidirect
77. #16837324C22semidirect
80. #16837319C22semidirect
83. #16837318C22semidirect
84. #16837318C22semidirect
88. #16837315C22semidirect
89. #16837314C22semidirect
94. #16837311C22semidirect
98. #16837310C22semidirect
99. #16837308C22semidirect
100. #16837307C22semidirect
101. #16837302C22semidirect
102. #16837302C22semidirect
103. #16837299C22semidirect
104. #16837299C22semidirect
105. #16837298C22semidirect
106. #16837298C22semidirect
107. #16837297C22semidirect
108. #16837297C22semidirect
109. #16837296C22semidirect
110. #16837295C22semidirect
111. #16837295C22semidirect
112. #16837294C22semidirect
113. #16837294C22semidirect
114. #16837293C22semidirect
115. #16837293C22semidirect
116. #16837293C22semidirect
117. #16837292C22semidirect
118. #16837292C22semidirect
119. #16837291C22semidirect
120. #16837290C22semidirect
121. #16837290C22semidirect
122. #16837290C22semidirect
123. #16837289C22semidirect
124. #16837289C22semidirect
125. #16837288C22semidirect
126. #16837288C22semidirect
127. #16837288C22semidirect
128. #16837287C22semidirect
129. #16837284C22semidirect
130. #16837283C22semidirect
131. #16837282C22semidirect
132. #16837281C22semidirect
133. #16837281C22semidirect
136. #16837280C22semidirect
137. #16837279C22semidirect
140. #16837278C22semidirect
141. #16837278C22semidirect
142. #16837278C22semidirect
143. #16837276C22semidirect
144. #16837275C22semidirect
145. #16837274C22semidirect
146. #16837274C22semidirect
151. #16837273C22semidirect
152. #16837273C22semidirect
153. #16837273C22semidirect
154. #16837273C22semidirect
155. #16837273C22semidirect
156. #16837265C22semidirect
159. #16837264C22semidirect
160. #16837264C22semidirect
161. #16837263C22semidirect
168. C22⋊C4×Dic59C22semidirect
170. C4×(C2×D59)⋊C4C22semidirect
171. C4×C22⋊Dic59C22semidirect
173. #16837249C22semidirect
174. C2×#123×C59C22semidirect
175. C2×#123×C59C22semidirect
177. C2×C4×D4×C59C22semidirect
178. C59×#399C22semidirect
180. C59×#394C22semidirect
182. C59×#389C22semidirect
183. C59×#389C22semidirect
184. C59×#388C22semidirect
185. C59×#388C22semidirect
186. C59×#385C22semidirect
187. C59×#385C22semidirect
188. C59×#385C22semidirect
316. C22⋊C4×D59D4semidirect
897. #2455D59semidirect
931. C2×#123C2×D59semidirect
932. C2×#123C2×D59semidirect
955. C2×C4×D4C2×D59semidirect
961. #399C2×D59semidirect
979. #394C2×D59semidirect
1002. #389C2×D59semidirect
1003. #389C2×D59semidirect
1018. #388C2×D59semidirect
1019. #388C2×D59semidirect
1053. #385C2×D59semidirect
1054. #385C2×D59semidirect
1055. #385C2×D59semidirect
1074. C59#34986semidirect

Maximal subgroups

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

subgroupindex
C2×#168379882
C2×C4×D4×D592
#214324342
#214324232
#214323912
#214323852
#214299022
#214298352
#214298092
#214298072
#214281382
#214281342
#214281292
#214281252
#214280382
#214280342
#214280312
#214280272
#214279952
#214279892
#214279842
#214279822
#214279802
#214279792
#214279752
#214267632
#214267602
#214266902
#214265972
C4×#142736952
C59×#24552
#3498659