Finite Group Databasebeta

← #28761388

Subgroups — #28761388

Order 15104.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16838000C211yesmaximal, characteristic, complemented
2C22×#14273689C211yesmaximal, characteristic, complemented
3#21432413C211yesmaximal, characteristic, complemented
4#21432402C211yesmaximal, characteristic, complemented
5#21432391C211yesmaximal, characteristic, complemented
6#21432384C211yesmaximal, characteristic, complemented
7#21430021C211yesmaximal, characteristic, complemented
8#21429996C211yesmaximal, characteristic, complemented
9#21429966C211yesmaximal, characteristic, complemented
10#21429946C211yesmaximal, characteristic, complemented
11#21428342C211yesmaximal, characteristic, complemented
12#21428136C211yesmaximal, characteristic, complemented
13#21428091C211yesmaximal, characteristic, complemented
14#21428044C211yesmaximal, characteristic, complemented
15#21427980C211yesmaximal, characteristic, complemented
16#21427905C211yesmaximal, characteristic, complemented
17#21427900C211yesmaximal, characteristic, complemented
18#21427832C211yesmaximal, characteristic, complemented
19#21427761C211yesmaximal, characteristic, complemented
20#21427640C211yesmaximal, characteristic, complemented
21#21427576C211yesmaximal, characteristic, complemented
22#21427560C211yesmaximal, characteristic, complemented
23#21427489C211yesmaximal, characteristic, complemented
24#21427468C211yesmaximal, characteristic
25#21427425C211yesmaximal, characteristic, complemented
26#21426795C211yesmaximal, characteristic, complemented
27#21426760C211yesmaximal, characteristic, complemented
28#21426728C211yesmaximal, characteristic, complemented
29C4×#14273697C211yesmaximal, characteristic, complemented
30#385×D59C211yesmaximal, characteristic, complemented
31C59×#2473C211yesmaximal, characteristic, complemented
32C23×D236C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34C23×C4×D59C2211yescharacteristic
35#16838000—28no—
36C2×#14273722C2211yescharacteristic, complemented
37C2×#14273721C2211yescharacteristic, complemented
38C2×#14273717C2211yescharacteristic, complemented
39C2×#14273712C2211yescharacteristic
40C2×#14273712C2211yescharacteristic
41C2×#14273712C2211yescharacteristic, complemented
42C2×#14273712C2211yescharacteristic, complemented
43C2×#14273712C2211yescharacteristic, complemented
44C2×#14273712C2211yescharacteristic, complemented
45C2×#14273707C2211yescharacteristic, complemented
46C2×#14273707C2211yescharacteristic, complemented
47C2×#14273706C2211yescharacteristic
48C2×#14273705C2211yescharacteristic, complemented
49C2×#14273705C2211yescharacteristic, complemented
50C2×#14273702C2211yescharacteristic
51C2×#14273702C2211yescharacteristic
52C2×#14273697C2211yescharacteristic
53C2×#14273697C2211yescharacteristic
54C2×C4×D236C2211yescharacteristic, complemented
55C2×C4×D236C2211yescharacteristic, complemented
56C2×#14273689—28no—
57C2×#14273689C2211yescharacteristic
58C2×#14273689C2211yescharacteristic
59C2×#14273689C2211yescharacteristic
60C2×#14273689C2211yescharacteristic
61C2×#14273689C2211yescharacteristic
62C2×#14273689C2211yescharacteristic
63C2×#14273689C2211yescharacteristic
64C2×#14273689C2211yescharacteristic
65C2×C4×C22⋊D59C2211yescharacteristic
66C2×C4⋊C4×D59C2211yescharacteristic, complemented
67C2×C4⋊C4×D59C2211yescharacteristic, complemented
68C22×(C2×D59)⋊C4C2211yescharacteristic
69C22×(C2×D59)⋊C4C2211yescharacteristic
70C2×C22⋊C4×D59C2211yescharacteristic
71C2×C22⋊C4×D59C2211yescharacteristic
72C22×C4×Dic59C2211yescharacteristic
73#16837337C2211yescharacteristic, complemented
74#16837337C2211yescharacteristic, complemented
75#16837337C2211yescharacteristic, complemented
76#16837333C2211yescharacteristic, complemented
77#16837331C2211yescharacteristic, complemented
78#16837331C2211yescharacteristic, complemented
79#16837331C2211yescharacteristic, complemented
80#16837331C2211yescharacteristic, complemented
81#16837331C2211yescharacteristic, complemented
82#16837328C2211yescharacteristic, complemented
83#16837326C2211yescharacteristic, complemented
84#16837326C2211yescharacteristic, complemented
85#16837324C2211yescharacteristic, complemented
86#16837324C2211yescharacteristic, complemented
87#16837322C2211yescharacteristic, complemented
88#16837320C2211yescharacteristic
89#16837320C2211yescharacteristic
90#16837320C2211yescharacteristic, complemented
91#16837320C2211yescharacteristic, complemented
92#16837319C2211yescharacteristic
93#16837319C2211yescharacteristic
94#16837319C2211yescharacteristic
95#16837319C2211yescharacteristic
96#16837319C2211yescharacteristic, complemented
97#16837319C2211yescharacteristic, complemented
98#16837315C2211yescharacteristic, complemented
99#16837312C2211yescharacteristic
100#16837312C2211yescharacteristic
101#16837299C2211yescharacteristic, complemented
102#16837297C2211yescharacteristic, complemented
103#16837297C2211yescharacteristic, complemented
104#16837294C2211yescharacteristic, complemented
105#16837293C2211yescharacteristic, complemented
106#16837293C2211yescharacteristic, complemented
107#16837293C2211yescharacteristic, complemented
108#16837292C2211yescharacteristic, complemented
109#16837292C2211yescharacteristic, complemented
110#16837291C2211yescharacteristic, complemented
111#16837291C2211yescharacteristic, complemented
112#16837288C2211yescharacteristic, complemented
113#16837288C2211yescharacteristic, complemented
114#16837288C2211yescharacteristic, complemented
115#16837287C2211yescharacteristic, complemented
116#16837285C2211yescharacteristic, complemented
117#16837284C2211yescharacteristic, complemented
118#16837283C2211yescharacteristic, complemented
119#16837283C2211yescharacteristic, complemented
120#16837281C2211yescharacteristic
121#16837281C2211yescharacteristic
122#16837280C2211yescharacteristic
123#16837280C2211yescharacteristic
124#16837280C2211yescharacteristic
125#16837280C2211yescharacteristic
126#16837280C2211yescharacteristic, complemented
127#16837280C2211yescharacteristic, complemented
128#16837280C2211yescharacteristic, complemented
129#16837280C2211yescharacteristic, complemented
130#16837280C2211yescharacteristic, complemented
131#16837280C2211yescharacteristic, complemented
132#16837279C2211yescharacteristic
133#16837279C2211yescharacteristic
134#16837277C2211yescharacteristic
135#16837277C2211yescharacteristic
136#16837276C2211yescharacteristic, complemented
137#16837276C2211yescharacteristic, complemented
138#16837276C2211yescharacteristic, complemented
139#16837276C2211yescharacteristic, complemented
140#16837276C2211yescharacteristic, complemented
141#16837276C2211yescharacteristic, complemented
142#16837276C2211yescharacteristic, complemented
143#16837276C2211yescharacteristic, complemented
144#16837276C2211yescharacteristic, complemented
145#16837275C2211yescharacteristic
146#16837275C2211yescharacteristic
147#16837274C2211yescharacteristic
148#16837274C2211yescharacteristic
149#16837273C2211yescharacteristic, complemented
150#16837273C2211yescharacteristic, complemented
151#16837273C2211yescharacteristic, complemented
152#16837273C2211yescharacteristic, complemented
153#16837273C2211yescharacteristic, complemented
154#16837273C2211yescharacteristic, complemented
155#16837273C2211yescharacteristic, complemented
156#16837269C2211yescharacteristic, complemented
157#16837266C2211yescharacteristic, complemented
158#16837264C2211yescharacteristic, complemented
159#16837264C2211yescharacteristic, complemented
160#16837264C2211yescharacteristic, complemented
161#16837261C2211yescharacteristic, complemented
162#16837260C2211yescharacteristic
163#16837260C2211yescharacteristic
164#16837259C2211yescharacteristic, complemented
165#16837259C2211yescharacteristic, complemented
166#16837257C2211yescharacteristic
167#16837257C2211yescharacteristic
168#16837257C2211yescharacteristic
169#16837257C2211yescharacteristic
170C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
171C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
172#95×D59C2211yescharacteristic, complemented
173#95×D59C2211yescharacteristic, complemented
174C2×#125×C59C2211yescharacteristic, complemented
175C22×C4⋊C4×C59C2211yescharacteristic
176C59×#400C2211yescharacteristic, complemented
177C59×#398C2211yescharacteristic, complemented
178C59×#398C2211yescharacteristic, complemented
179C59×#398C2211yescharacteristic, complemented
180C59×#389C2211yescharacteristic, complemented
181C59×#387C2211yescharacteristic, complemented
182C59×#387C2211yescharacteristic, complemented
183C59×#385C2211yescharacteristic
184C59×#385C2211yescharacteristic
185C59×#385C2211yescharacteristic
186C59×#385C2211yescharacteristic
187C59×#380C2211yescharacteristic
188C4×C22⋊C4×C59C2211yescharacteristic
189C24×D59C2311yescharacteristic
190C24×D59C2311yescharacteristic
191C22×Dic118C2311yescharacteristic
192C22×D236—24no—
193C22×D236—24no—
194C22×D236—24no—
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×D236C2311yescharacteristic
198C22×D236C2311yescharacteristic
199C22×D236C2311yescharacteristic
200C22×D236C2311yescharacteristic
201C22×D236C2311yescharacteristic
202C22×D236C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C23×Dic59C2311yescharacteristic
205C23×Dic59C2311yescharacteristic
206C22×C4×D59—24no—
207C22×C4×D59—24no—
208C22×C4×D59—42no—
209C22×C4×D59—42no—
210C22×C4×D59—42no—
211C22×C4×D59—42no—
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
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#14273721—24no—
227#14273717—24no—
228#14273712—24no—
229#14273712—24no—
230#14273712—24no—
231#14273712—24no—
232#14273712—24no—
233#14273712—42no—
234#14273707—24no—
235#14273707—42no—
236#14273706—42no—
237#14273705—24no—
238#14273705—24no—
239#14273702—24no—
240#14273702—24no—
241#14273697—24no—
242#14273697—42no—
243C4×D236—24no—
244C4×D236—42no—
245#14273689—24no—
246#14273689—24no—
247#14273689—24no—
248#14273689—24no—
249#14273689—24no—
250#14273689—24no—
251#14273689—24no—
252#14273689D418yescomplemented
253C4×C22⋊D59—42no—
254C2×C4⋊Dic59C2311yescharacteristic
255C2×C4⋊Dic59C2311yescharacteristic
256C2×C4⋊Dic59C2311yescharacteristic
257C2×C4⋊Dic59C2311yescharacteristic
258C2×C4⋊Dic59C2311yescharacteristic
259C2×Dic59⋊C4C2311yescharacteristic
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
272C2×Dic59⋊C4C2311yescharacteristic
273C2×Dic59⋊C4C2311yescharacteristic
274C4⋊C4×D59—24no—
275C4⋊C4×D59—42no—
276C2×C22⋊Dic59C2311yescharacteristic
277C2×C22⋊Dic59C2311yescharacteristic
278C2×C22⋊Dic59C2311yescharacteristic
279C2×(C2×D59)⋊C4—24no—
280C2×(C2×D59)⋊C4—24no—
281C2×(C2×D59)⋊C4C2311yescharacteristic
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×(C2×D59)⋊C4C2311yescharacteristic
284C2×(C2×D59)⋊C4C2311yescharacteristic
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
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
322C22⋊C4×D59—24no—
323C22⋊C4×D59—42no—
324C2×C4×Dic59—24no—
325C2×C4×Dic59C2311yescharacteristic
326C2×C4×Dic59C2311yescharacteristic
327C2×C4×Dic59C2311yescharacteristic
328C2×C4×Dic59C2311yescharacteristic
329C2×C4×Dic59C2311yescharacteristic
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
352C59⋊#95C2311yescharacteristic
353C59⋊#95C2311yescharacteristic
354C23×C4×C59C2311yescharacteristic
355C23×C4×C59C2311yescharacteristic
356C23×C4×C59C2311yescharacteristic
357#125×C59—24no—
358C2×C4⋊C4×C59—24no—
359C2×C4⋊C4×C59C2311yescharacteristic
360C2×C4⋊C4×C59C2311yescharacteristic
361C2×C4⋊C4×C59C2311yescharacteristic
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×C4⋊C4×C59C2311yescharacteristic
372C2×C4⋊C4×C59C2311yescharacteristic
373C2×C22⋊C4×C59C2311yescharacteristic
374C2×C22⋊C4×C59C2311yescharacteristic
375C2×C22⋊C4×C59C2311yescharacteristic
376C2×C22⋊C4×C59C2311yescharacteristic
377C2×C42×C59C2311yescharacteristic
378C2×C42×C59C2311yescharacteristic
379#95×C59C2311yescharacteristic
380#95×C59C2311yescharacteristic
381#95×C59C2311yescharacteristic
382#95×C59C2311yescharacteristic
383#95×C59C2311yescharacteristic
384#95×C59C2311yescharacteristic
385#95×C59C2311yescharacteristic
386#95×C59C2311yescharacteristic
387#95×C59C2311yescharacteristic
388#95×C59C2311yescharacteristic
389#95×C59C2311yescharacteristic
390#95×C59C2311yescharacteristic
391C24×C59C2411yescharacteristic
392C23×D59—22no—
393C23×D59—22no—
394C23×D59—22no—
395C23×D59—22no—
396C23×D59—22no—
397C23×D59—22no—
398C23×D59—22no—
399C23×D59—22no—
400C23×D59—22no—
401C23×D59—41no—
402C23×D59—41no—
403C23×D59—41no—
404C23×D59—41no—
405C23×D59#4114yes—
406C23×D59C2411yescharacteristic
407C23×D59C2411yescharacteristic
408C23×D59C2411yescharacteristic
409C23×D59C2411yescharacteristic
410C23×D59C2411yescharacteristic
411C22×C4×C59—22no—
412C22×C4×C59—22no—
413C22×C4×C59—22no—
414C22×C4×C59—22no—
415C22×C4×C59—22no—
416C22×C4×C59—22no—
417C22×C4×C59—22no—
418C22×C4×C59—41no—
419C22×C4×C59—41no—
420C22×C4×C59C2411yescharacteristic
421C22×C4×C59C2411yescharacteristic
422C22×C4×C59C2411yescharacteristic
423C22×C4×C59C2411yescharacteristic
424C22×C4×C59C2411yescharacteristic
425C22×C4×C59C2411yescharacteristic
426C22×C4×C59C2411yescharacteristic
427C22×C4×C59C2411yescharacteristic
428C22×C4×C59C2411yescharacteristic
429C22×C4×C59C2411yescharacteristic
430C22×C4×C59C2411yescharacteristic
431C22×C4×C59C2411yescharacteristic
432C22×C4×C59C2411yescharacteristic
433C22×C4×C59C2411yescharacteristic
434C2×C22⋊D59—22no—
435C2×C22⋊D59—22no—
436C2×C22⋊D59—22no—
437C22×Dic59—22no—
438C22×Dic59—22no—
439C22×Dic59—22no—
440C22×Dic59—22no—
441C22×Dic59—22no—
442C22×Dic59—41no—
443C22×Dic59C2411yescharacteristic
444C22×Dic59C2411yescharacteristic
445C22×Dic59C2411yescharacteristic
446C22×Dic59C2411yescharacteristic
447C22×Dic59C2411yescharacteristic
448C22×Dic59C2411yescharacteristic
449C22×Dic59C2411yescharacteristic
450C22×Dic59C2411yescharacteristic
451C22×Dic59C2411yescharacteristic
452C22×Dic59C2411yescharacteristic
453C22×Dic59C2411yescharacteristic
454C2×D236—232no—
455C2×D236—22no—
456C2×D236—22no—
457C2×D236—22no—
458C2×D236—22no—
459C2×D236—22no—
460C2×D236—22no—
461C2×D236—22no—
462C2×D236—22no—
463C2×D236—22no—
464C2×D236—22no—
465C2×D236—22no—
466C2×D236—22no—
467C2×D236—22no—
468C2×D236—22no—
469C2×D236—22no—
470C2×D236—22no—
471C2×D236—41no—
472C2×D236—41no—
473C2×D236—41no—
474C2×D236—41no—
475C2×D236—41no—
476C2×D236—41no—
477C2×D236C2×D414yes—
478C2×D236#4114yes—
479C2×C4×D59—22no—
480C2×C4×D59—22no—
481C2×C4×D59—22no—
482C2×C4×D59—22no—
483C2×C4×D59—22no—
484C2×C4×D59—22no—
485C2×C4×D59—22no—
486C2×C4×D59—22no—
487C2×C4×D59—22no—
488C2×C4×D59—22no—
489C2×C4×D59—22no—
490C2×C4×D59—22no—
491C2×C4×D59—22no—
492C2×C4×D59—22no—
493C2×C4×D59—22no—
494C2×C4×D59—22no—
495C2×C4×D59—22no—
496C2×C4×D59—41no—
497C2×C4×D59—41no—
498C2×C4×D59—41no—
499C2×C4×D59—41no—
500C2×C4×D59—41no—
501C2×C4×D59—41no—
502C2×C4×D59—41no—
503C2×C4×D59—41no—
504C2×C4×D59—41no—
505C2×C4×D59—41no—
506C2×C4×D59—41no—
507C2×C4×D59—41no—
508C2×C4×D59—41no—
509C2×C4×D59—41no—
510C2×C4×D59—416no—
511C2×C4×D59—416no—
512C2×C4×D59—41no—
513C2×C4×D59—41no—
514C2×C4×D59—41no—
515C2×C4×D59—41no—
516C2×C4×D59—41no—
517C2×C4×D59—41no—
518C2×C4×D59C2×D414yes—
519C2×C4×D59C2×D414yes—
520C2×Dic118—22no—
521C2×Dic118—41no—
522C2×Dic118—41no—
523C4⋊C4×C59—22no—
524C4⋊C4×C59—22no—
525C4⋊C4×C59—22no—
526C4⋊C4×C59—22no—
527C4⋊C4×C59—22no—
528C4⋊C4×C59—22no—
529C4⋊C4×C59—22no—
530C4⋊C4×C59—22no—
531C4⋊C4×C59—22no—
532C4⋊C4×C59—22no—
533C4⋊C4×C59—41no—
534C4⋊C4×C59—41no—
535C4⋊C4×C59—41no—
536C4⋊C4×C59C2×D414yes—
537C22⋊C4×C59—22no—
538C22⋊C4×C59—22no—
539C22⋊C4×C59—22no—
540C22⋊C4×C59—22no—
541C42×C59—22no—
542C42×C59—41no—
543C22⋊Dic59—22no—
544C22⋊Dic59—22no—
545C22⋊Dic59—22no—
546(C2×D59)⋊C4—22no—
547(C2×D59)⋊C4—22no—
548(C2×D59)⋊C4—22no—
549(C2×D59)⋊C4—22no—
550(C2×D59)⋊C4—22no—
551(C2×D59)⋊C4—22no—
552(C2×D59)⋊C4—22no—
553(C2×D59)⋊C4—22no—
554(C2×D59)⋊C4—22no—
555(C2×D59)⋊C4—22no—
556(C2×D59)⋊C4—22no—
557(C2×D59)⋊C4—22no—
558(C2×D59)⋊C4—22no—
559(C2×D59)⋊C4—22no—
560(C2×D59)⋊C4—22no—
561(C2×D59)⋊C4—22no—
562(C2×D59)⋊C4—22no—
563(C2×D59)⋊C4—22no—
564(C2×D59)⋊C4—22no—
565(C2×D59)⋊C4—22no—
566(C2×D59)⋊C4—22no—
567(C2×D59)⋊C4—22no—
568(C2×D59)⋊C4—22no—
569(C2×D59)⋊C4—22no—
570(C2×D59)⋊C4—41no—
571(C2×D59)⋊C4—41no—
572(C2×D59)⋊C4—41no—
573(C2×D59)⋊C4—41no—
574(C2×D59)⋊C4—41no—
575(C2×D59)⋊C4—41no—
576(C2×D59)⋊C4—41no—
577(C2×D59)⋊C4—41no—
578(C2×D59)⋊C4—41no—
579(C2×D59)⋊C4—41no—
580(C2×D59)⋊C4—41no—
581(C2×D59)⋊C4—41no—
582(C2×D59)⋊C4—41no—
583(C2×D59)⋊C4—41no—
584(C2×D59)⋊C4—41no—
585(C2×D59)⋊C4C2×D414yes—
586(C2×D59)⋊C4C2×D414yes—
587C4⋊Dic59—22no—
588C4⋊Dic59—22no—
589C4⋊Dic59—22no—
590C4⋊Dic59—22no—
591C4⋊Dic59—41no—
592Dic59⋊C4—22no—
593Dic59⋊C4—22no—
594Dic59⋊C4—22no—
595Dic59⋊C4—22no—
596Dic59⋊C4—22no—
597Dic59⋊C4—22no—
598Dic59⋊C4—22no—
599Dic59⋊C4—22no—
600Dic59⋊C4—41no—
601Dic59⋊C4—41no—
602Dic59⋊C4—41no—
603Dic59⋊C4—41no—
604Dic59⋊C4—41no—
605Dic59⋊C4—41no—
606Dic59⋊C4—41no—
607C4×Dic59—22no—
608C4×Dic59—22no—
609C4×Dic59—22no—
610C4×Dic59—41no—
611C4×Dic59C2×D414yes—
612C23×C59—21no—
613C23×C59—21no—
614C23×C59—21no—
615C23×C59—21no—
616C23×C59C2×#4112yes—
617C23×C59H(5,𝔽2)12yes—
618C23×C592−1+412yes—
619C23×C59C2511yescharacteristic
620C22×D59—21no—
621C22×D59—21no—
622C22×D59—21no—
623C22×D59—21no—
624C22×D59—28no—
625C22×D59—28no—
626C22×D59—21no—
627C22×D59—21no—
628C22×D59—21no—
629C22×D59—21no—
630C22×D59—21no—
631C22×D59—21no—
632C22×D59—21no—
633C22×D59—21no—
634C22×D59—21no—
635C22×D59—21no—
636C22×D59—21no—
637C22×D59—21no—
638C22×D59—21no—
639C22×D59—21no—
640C22×D59—21no—
641C22×D59—21no—
642C22×D59—21no—
643C22×D59—21no—
644C22×D59—28no—
645C22×D59—21no—
646C22×D59—21no—
647C22×D59—21no—
648C22×D59—21no—
649C22×D59—21no—
650C22×D59—21no—
651C22×D59—21no—
652C22×D59—44no—
653C22×D59—44no—
654C22×D59—44no—
655C22×D59—44no—
656C22×D59—44no—
657C22×D59—44no—
658C22×D59—44no—
659C22×D59—44no—
660C22×D59—44no—
661C22×D59—44no—
662C22×D59—44no—
663C22×D59C22×D412yes—
664C22×D59C22×D412yes—
665C22×D59C2×#4112yes—
666C22×D59C2×#4112yes—
667C22×D59C2×#4112yes—
668C22×D59C2×#4112yes—
669C2×C4×C59—28no—
670C2×C4×C59—21no—
671C2×C4×C59—21no—
672C2×C4×C59—21no—
673C2×C4×C59—21no—
674C2×C4×C59—21no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—21no—
679C2×C4×C59—21no—
680C2×C4×C59—21no—
681C2×C4×C59—21no—
682C2×C4×C59—21no—
683C2×C4×C59—21no—
684C2×C4×C59—21no—
685C2×C4×C59—21no—
686C2×C4×C59—21no—
687C2×C4×C59—21no—
688C2×C4×C59—21no—
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—44no—
709C2×C4×C59—44no—
710C2×C4×C59C22×D412yes—
711C2×C4×C59C22×D412yes—
712C2×C4×C59C22×D412yes—
713C2×C4×C59C2×#4112yes—
714C22⋊D59—44no—
715C2×Dic59—28no—
716C2×Dic59—21no—
717C2×Dic59—21no—
718C2×Dic59—21no—
719C2×Dic59—21no—
720C2×Dic59—21no—
721C2×Dic59—21no—
722C2×Dic59—21no—
723C2×Dic59—21no—
724C2×Dic59—21no—
725C2×Dic59—21no—
726C2×Dic59—21no—
727C2×Dic59—21no—
728C2×Dic59—21no—
729C2×Dic59—21no—
730C2×Dic59—21no—
731C2×Dic59—21no—
732C2×Dic59—21no—
733C2×Dic59—21no—
734C2×Dic59—21no—
735C2×Dic59—21no—
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—44no—
747C2×Dic59C22×D412yes—
748C2×Dic59C22×D412yes—
749C2×Dic59H(5,𝔽2)12yes—
750D236—28no—
751D236—28no—
752D236—28no—
753D236—28no—
754D236—44no—
755D236—44no—
756D236—82no—
757D236—82no—
758C4×D59—44no—
759C4×D59—44no—
760C4×D59—44no—
761C4×D59—44no—
762C4×D59—44no—
763C4×D59—44no—
764C4×D59—44no—
765C4×D59—44no—
766C4×D59—44no—
767C4×D59—44no—
768C4×D59—82no—
769C4×D59—82no—
770C4×D59—82no—
771Dic118—82no—
772#34991—591nomaximal, Sylow
773C22×C59—22no—
774C22×C59—22no—
775C22×C59—22no—
776C22×C59—22no—
777C22×C59—22no—
778C22×C59—22no—
779C22×C59#53914yescomplemented
780C22×C59C23×D411yescharacteristic
781C22×C59C22×#4111yescharacteristic
782C22×C59C22×#4111yescharacteristic
783C22×C59C2×H(5,𝔽2)11yescharacteristic
784C22×C59C2×H(5,𝔽2)11yescharacteristic
785C22×C59C2×2−1+411yescharacteristic
786C22×C59#58511yescharacteristic
787C2×D59—22no—
788C2×D59—22no—
789C2×D59—22no—
790C2×D59—22no—
791C2×D59—22no—
792C2×D59—22no—
793C2×D59—22no—
794C2×D59—22no—
795C2×D59—22no—
796C2×D59—22no—
797C2×D59—22no—
798C2×D59—22no—
799C2×D59—22no—
800C2×D59—22no—
801C2×D59—22no—
802C2×D59—416no—
803C2×D59—416no—
804C2×D59—41no—
805C2×D59—41no—
806C2×D59—41no—
807C2×D59—41no—
808C2×D59—41no—
809C2×D59—41no—
810C2×D59—41no—
811C2×D59—41no—
812C2×D59—41no—
813C2×D59—41no—
814C2×D59—41no—
815C2×D59—41no—
816C2×D59—41no—
817C2×D59—41no—
818C2×D59—41no—
819C2×D59—41no—
820C2×D59—41no—
821C2×D59—41no—
822C2×D59—41no—
823C2×D59#52514yes—
824C4×C59—22no—
825C4×C59—22no—
826C4×C59—22no—
827C4×C59—22no—
828C4×C59—41no—
829C4×C59—41no—
830C4×C59—41no—
831C4×C59—41no—
832C4×C59—41no—
833C4×C59—41no—
834C4×C59—41no—
835C4×C59—41no—
836C4×C59—41no—
837C4×C59—41no—
838Dic59—22no—
839Dic59—22no—
840Dic59—22no—
841Dic59—41no—
842Dic59—41no—
843Dic59—41no—
844Dic59—41no—
845Dic59—41no—
846Dic59—41no—
847Dic59—41no—
848Dic59—41no—
849C2×#539—591no—
850C22×C4×D4—591no—
851#2852—591no—
852#2851—591no—
853#2849—591no—
854#2848—591no—
855#2638—591no—
856#2636—591no—
857#2633—591no—
858#2630—591no—
859#2480—591no—
860#2473D5911yescharacteristic, complemented
861#2466—591no—
862#2463—591no—
863#2460—591no—
864#2455—591no—
865#2449—591no—
866#2449—591no—
867#2443—591no—
868#2437—591no—
869#2425—591no—
870#2419—591no—
871#2418—591no—
872#2412—591no—
873#2410—591no—
874#2405—591no—
875#2325—591no—
876#2322—591no—
877#2318—591no—
878C4×#120—591no—
879C2×#385—591no—
880C2×C59—24no—
881C2×C59C2×#52511yescharacteristic
882C2×C59C2×#53911yescharacteristic
883C2×C59#345911yescharacteristic
884C2×C59#348411yescharacteristic
885C2×C59#348911yescharacteristic
886C2×C59#351311yescharacteristic
887C2×C59#352011yescharacteristic
888D59—24no—
889D59—42no—
890D59—42no—
891D59—42no—
892D59—81no—
893C23×D4—591no—
894C24×C4—591no—
895C24×C4—591no—
896#539—1188no—
897C2×#126—591no—
898C2×#126—591no—
899C2×#125—591no—
900C2×#125C2×D5911yescharacteristic, complemented
901C2×#123—591no—
902C2×#123—591no—
903C2×#123—591no—
904C2×#123—591no—
905C2×#123—591no—
906C2×#123—591no—
907C2×C22⋊Q8—591no—
908C2×C22⋊Q8—591no—
909C2×C22⋊Q8—591no—
910C2×C22⋊Q8—591no—
911C2×C22⋊Q8—591no—
912C2×#121—591no—
913C2×#121—591no—
914C2×#120—591no—
915C2×#120—591no—
916C2×C4×D4—591no—
917C2×C4×D4—591no—
918C2×C4×D4—591no—
919C2×C4×D4—591no—
920C2×C4×D4—591no—
921C2×C4×D4—591no—
922C2×C4×D4—591no—
923C2×C4×D4—591no—
924C2×C4×D4—591no—
925C2×C4×D4—591no—
926C2×C4×D4—591no—
927C2×C4×D4—1188no—
928C22×C4⋊C4—591no—
929C22×C4⋊C4—591no—
930C22×C4⋊C4C2×D5911yescharacteristic
931C22×C22⋊C4—591no—
932C22×C22⋊C4—591no—
933C22×C22⋊C4—591no—
934C22×C22⋊C4—591no—
935C22×C42—591no—
936#400C2×D5911yescharacteristic, complemented
937#399—591no—
938#399—591no—
939#399—591no—
940#398—591no—
941#398C2×D5911yescharacteristic, complemented
942#398C2×D5911yescharacteristic, complemented
943#398C2×D5911yescharacteristic, complemented
944#397—591no—
945#397—591no—
946#397—591no—
947#397—591no—
948#397—591no—
949#397—591no—
950#396—591no—
951#396—591no—
952#396—591no—
953#396—591no—
954#395—591no—
955#394—591no—
956#394—591no—
957#394—591no—
958#394—591no—
959#394—591no—
960#394—591no—
961#394—591no—
962#394—591no—
963#394—591no—
964#394—591no—
965#393—591no—
966#392—591no—
967#392—591no—
968#389—591no—
969#389—591no—
970#389—591no—
971#389C2×D5911yescharacteristic, complemented
972#388—591no—
973#388—591no—
974#388—591no—
975#388—591no—
976#388—591no—
977#388—591no—
978#388—591no—
979#388—591no—
980#387—591no—
981#387—591no—
982#387—591no—
983#387—591no—
984#387—591no—
985#387—591no—
986#387—591no—
987#387—591no—
988#387C2×D5911yescharacteristic, complemented
989#387C2×D5911yescharacteristic, complemented
990#386—591no—
991#386—591no—
992#386—591no—
993#386—591no—
994#386—591no—
995#386—591no—
996#386—591no—
997#386—591no—
998#386—591no—
999#386—591no—
1000#386—591no—
1001#386—591no—
1002#386—591no—
1003#386—591no—
1004#385—591no—
1005#385—591no—
1006#385—591no—
1007#385—591no—
1008#385—591no—
1009#385—591no—
1010#385—591no—
1011#385—591no—
1012#385—591no—
1013#385—591no—
1014#385—591no—
1015#385—591no—
1016#385—591no—
1017#385—591no—
1018#385—591no—
1019#385—591no—
1020#385—591no—
1021#385—591no—
1022#385—591no—
1023#385—591no—
1024#385—591no—
1025#385—591no—
1026#385C2×D5911yescharacteristic
1027#385C2×D5911yescharacteristic
1028#385C2×D5911yescharacteristic
1029#385C2×D5911yescharacteristic
1030#383—591no—
1031#382—591no—
1032#381—591no—
1033#381—591no—
1034#381—591no—
1035#380—591no—
1036#380—591no—
1037#380—591no—
1038#380—591no—
1039#380—591no—
1040#380C2×D5911yescharacteristic
1041#379—591no—
1042#379—591no—
1043#379—591no—
1044#379—591no—
1045C4×C22⋊C4—591no—
1046C4×C22⋊C4—591no—
1047C4×C22⋊C4C2×D5911yescharacteristic
1048C2×#95—591no—
1049C2×#95—591no—
1050C59#3499111yescharacteristic, complemented, Sylow
1051C25—591no—
1052C25—591no—
1053C22×Q8—591no—
1054C22×D4—591no—
1055C22×D4—591no—
1056C22×D4—591no—
1057C22×D4—591no—
1058C22×D4—591no—
1059C22×D4—591no—
1060C22×D4—591no—
1061C22×D4—591no—
1062C22×D4—591no—
1063C22×D4—1184no—
1064C22×D4—1184no—
1065C22×D4—1184no—
1066C23×C4—591no—
1067C23×C4—591no—
1068C23×C4—591no—
1069C23×C4—591no—
1070C23×C4—591no—
1071C23×C4—591no—
1072C23×C4—591no—
1073C23×C4—591no—
1074C23×C4—591no—
1075C23×C4—591no—
1076C23×C4—591no—
1077C23×C4—591no—
1078C23×C4—591no—
1079C23×C4—591no—
1080C23×C4—591no—
1081C23×C4—1184no—
1082C23×C4—1184no—
1083C23×C4—2362no—
1084C23×C4—2362no—
1085C23×C4—2362no—
1086C23×C4—2362no—
1087C23×C4C22×D5911yescharacteristic
1088C23×C4C22×D5911yescharacteristic
1089C23×C4C22×D5911yescharacteristic
1090#126—1184no—
1091#126—1184no—
1092#125—24no—
1093#125—1184no—
1094#123—1184no—
1095#123—1184no—
1096#123—1184no—
1097#123—1184no—
1098#123—1184no—
1099#123—2362no—
1100C22⋊Q8—1184no—
1101C22⋊Q8—1184no—
1102C22⋊Q8—1184no—
1103C22⋊Q8—2362no—
1104C22⋊Q8—2362no—
1105#121—1184no—
1106#121—1184no—
1107#120—1184no—
1108#120—2362no—
1109C4×D4—598no—
1110C4×D4—1184no—
1111C4×D4—1184no—
1112C4×D4—1184no—
1113C4×D4—1184no—
1114C4×D4—1184no—
1115C4×D4—1184no—
1116C4×D4—1184no—
1117C4×D4—1184no—
1118C4×D4—2362no—
1119C4×D4—2362no—
1120C2×C4⋊C4—24no—
1121C2×C4⋊C4—591no—
1122C2×C4⋊C4—591no—
1123C2×C4⋊C4—591no—
1124C2×C4⋊C4—591no—
1125C2×C4⋊C4—591no—
1126C2×C4⋊C4—591no—
1127C2×C4⋊C4—591no—
1128C2×C4⋊C4—591no—
1129C2×C4⋊C4—591no—
1130C2×C4⋊C4—591no—
1131C2×C4⋊C4—591no—
1132C2×C4⋊C4—591no—
1133C2×C4⋊C4—591no—
1134C2×C4⋊C4—591no—
1135C2×C4⋊C4—591no—
1136C2×C4⋊C4—591no—
1137C2×C4⋊C4—591no—
1138C2×C4⋊C4—591no—
1139C2×C4⋊C4—591no—
1140C2×C4⋊C4—591no—
1141C2×C4⋊C4—1184no—
1142C2×C4⋊C4—2362no—
1143C2×C4⋊C4C22×D5911yescharacteristic
1144C2×C4⋊C4C22×D5911yescharacteristic
1145C2×C4⋊C4C22×D5911yescharacteristic
1146C2×C4⋊C4C22×D5911yescharacteristic
1147C2×C4⋊C4C22×D5911yescharacteristic
1148C2×C4⋊C4C22×D5911yescharacteristic
1149C2×C4⋊C4C22×D5911yescharacteristic
1150C2×C4⋊C4C22×D5911yescharacteristic
1151C2×C4⋊C4C22×D5911yescharacteristic
1152C2×C4⋊C4C22×D5911yescharacteristic
1153C2×C4⋊C4C22×D5911yescharacteristic
1154C2×C4⋊C4C22×D5911yescharacteristic
1155C2×C4⋊C4C22×D5911yescharacteristic
1156C2×C4⋊C4C22×D5911yescharacteristic
1157C2×C22⋊C4—591no—
1158C2×C22⋊C4—591no—
1159C2×C22⋊C4—591no—
1160C2×C22⋊C4—591no—
1161C2×C22⋊C4—591no—
1162C2×C22⋊C4—591no—
1163C2×C22⋊C4—591no—
1164C2×C22⋊C4—591no—
1165C2×C22⋊C4—591no—
1166C2×C22⋊C4—591no—
1167C2×C22⋊C4—591no—
1168C2×C22⋊C4—591no—
1169C2×C22⋊C4—591no—
1170C2×C22⋊C4—591no—
1171C2×C22⋊C4—591no—
1172C2×C22⋊C4—591no—
1173C2×C22⋊C4—591no—
1174C2×C22⋊C4—591no—
1175C2×C22⋊C4—591no—
1176C2×C22⋊C4—591no—
1177C2×C22⋊C4—591no—
1178C2×C22⋊C4—591no—
1179C2×C22⋊C4—591no—
1180C2×C22⋊C4—591no—
1181C2×C22⋊C4—591no—
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—1184no—
1202C2×C22⋊C4—1184no—
1203C2×C22⋊C4—1184no—
1204C2×C22⋊C4—2362no—
1205C2×C22⋊C4C22×D5911yescharacteristic
1206C2×C22⋊C4C22×D5911yescharacteristic
1207C2×C22⋊C4C22×D5911yescharacteristic
1208C2×C22⋊C4C22×D5911yescharacteristic
1209C2×C42—591no—
1210C2×C42—591no—
1211C2×C42—591no—
1212C2×C42—591no—
1213C2×C42—591no—
1214C2×C42—1184no—
1215C2×C42C22×D5911yescharacteristic
1216C2×C42C22×D5911yescharacteristic
1217#95—591no—
1218#95—591no—
1219#95—591no—
1220#95—591no—
1221#95—591no—
1222#95—591no—
1223#95—591no—
1224#95—591no—
1225#95—591no—
1226#95—591no—
1227#95—591no—
1228#95—591no—
1229#95—591no—
1230#95—591no—
1231#95—591no—
1232#95—591no—
1233#95—591no—
1234#95—591no—
1235#95—591no—
1236#95—591no—
1237#95—591no—
1238#95—591no—
1239#95—591no—
1240#95—591no—
1241#95C22×D5911yescharacteristic
1242#95C22×D5911yescharacteristic
1243#95C22×D5911yescharacteristic
1244#95C22×D5911yescharacteristic
1245#95C22×D5911yescharacteristic
1246#95C22×D5911yescharacteristic
1247#95C22×D5911yescharacteristic
1248#95C22×D5911yescharacteristic
1249#95C22×D5911yescharacteristic
1250#95C22×D5911yescharacteristic
1251#95C22×D5911yescharacteristic
1252#95C22×D5911yescharacteristic
1253C24—591no—
1254C24—591no—
1255C24—591no—
1256C24—591no—
1257C24—594no—
1258C24—591no—
1259C24—1182no—
1260C24—1182no—
1261C24—1182no—
1262C24—1182no—
1263C24—1182no—
1264C24—1182no—
1265C24—1182no—
1266C24—1182no—
1267C24—1182no—
1268C24—2361no—
1269C24—2361no—
1270C24—2361no—
1271C24—2361no—
1272C24C23×D5911yescharacteristic
1273C2×Q8—1182no—
1274C2×Q8—2361no—
1275C2×Q8—2361no—
1276C2×D4—594no—
1277C2×D4—594no—
1278C2×D4—1182no—
1279C2×D4—1182no—
1280C2×D4—1182no—
1281C2×D4—1182no—
1282C2×D4—1182no—
1283C2×D4—1182no—
1284C2×D4—1182no—
1285C2×D4—1182no—
1286C2×D4—11832no—
1287C2×D4—1182no—
1288C2×D4—1182no—
1289C2×D4—1182no—
1290C2×D4—1182no—
1291C2×D4—1182no—
1292C2×D4—1182no—
1293C2×D4—1182no—
1294C2×D4—1182no—
1295C2×D4—1182no—
1296C2×D4—1182no—
1297C2×D4—1182no—
1298C2×D4—2361no—
1299C2×D4—2361no—
1300C2×D4—2361no—
1301C2×D4—2361no—
1302C2×D4—2361no—
1303C2×D4—2361no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—591no—
1314C22×C4—591no—
1315C22×C4—591no—
1316C22×C4—594no—
1317C22×C4—594no—
1318C22×C4—591no—
1319C22×C4—591no—
1320C22×C4—591no—
1321C22×C4—591no—
1322C22×C4—591no—
1323C22×C4—591no—
1324C22×C4—591no—
1325C22×C4—591no—
1326C22×C4—1182no—
1327C22×C4—1182no—
1328C22×C4—1182no—
1329C22×C4—1182no—
1330C22×C4—1182no—
1331C22×C4—1182no—
1332C22×C4—1182no—
1333C22×C4—1182no—
1334C22×C4—1182no—
1335C22×C4—1182no—
1336C22×C4—1182no—
1337C22×C4—1182no—
1338C22×C4—1182no—
1339C22×C4—1182no—
1340C22×C4—1182no—
1341C22×C4—1182no—
1342C22×C4—1182no—
1343C22×C4—1182no—
1344C22×C4—1182no—
1345C22×C4—1182no—
1346C22×C4—1182no—
1347C22×C4—1182no—
1348C22×C4—2361no—
1349C22×C4—2361no—
1350C22×C4—2361no—
1351C22×C4—2361no—
1352C22×C4—2361no—
1353C22×C4—2361no—
1354C22×C4—2361no—
1355C22×C4—2361no—
1356C22×C4—2361no—
1357C22×C4—2361no—
1358C22×C4—2361no—
1359C22×C4—2361no—
1360C22×C4—2361no—
1361C22×C4—2361no—
1362C22×C4—2361no—
1363C22×C4—2361no—
1364C22×C4—2361no—
1365C22×C4—2361no—
1366C22×C4—2361no—
1367C22×C4—2361no—
1368C22×C4—23616no—
1369C22×C4—23616no—
1370C22×C4—2361no—
1371C22×C4C23×D5911yescharacteristic
1372C22×C4C23×D5911yescharacteristic
1373C22×C4C23×D5911yescharacteristic
1374C22×C4C23×D5911yescharacteristic
1375C22×C4C23×D5911yescharacteristic
1376C22×C4C23×D5911yescharacteristic
1377C22×C4C23×D5911yescharacteristic
1378C22×C4C23×D5911yescharacteristic
1379C22×C4C23×D5911yescharacteristic
1380C22×C4C23×D5911yescharacteristic
1381C22×C4C23×D5911yescharacteristic
1382C22×C4C23×D5911yescharacteristic
1383C22×C4C23×D5911yescharacteristic
1384C22×C4C23×D5911yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—41no—
1396C4⋊C4—41no—
1397C4⋊C4—41no—
1398C4⋊C4—1182no—
1399C4⋊C4—1182no—
1400C4⋊C4—1182no—
1401C4⋊C4—1182no—
1402C4⋊C4—1182no—
1403C4⋊C4—1182no—
1404C4⋊C4—1182no—
1405C4⋊C4—1182no—
1406C4⋊C4—1182no—
1407C4⋊C4—1182no—
1408C4⋊C4—1182no—
1409C4⋊C4—1182no—
1410C4⋊C4—2361no—
1411C4⋊C4—2361no—
1412C4⋊C4—2361no—
1413C4⋊C4—2361no—
1414C4⋊C4—2361no—
1415C4⋊C4—2361no—
1416C4⋊C4—2361no—
1417C4⋊C4—2361no—
1418C4⋊C4D4×D5914yes—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—594no—
1424C22⋊C4—594no—
1425C22⋊C4—1182no—
1426C22⋊C4—1182no—
1427C22⋊C4—1182no—
1428C22⋊C4—1182no—
1429C22⋊C4—1182no—
1430C22⋊C4—1182no—
1431C22⋊C4—1182no—
1432C22⋊C4—1182no—
1433C22⋊C4—1182no—
1434C22⋊C4—1182no—
1435C22⋊C4—1182no—
1436C22⋊C4—1182no—
1437C22⋊C4—1182no—
1438C22⋊C4—1182no—
1439C22⋊C4—1182no—
1440C22⋊C4—1182no—
1441C22⋊C4—1182no—
1442C22⋊C4—1182no—
1443C22⋊C4—1182no—
1444C22⋊C4—1182no—
1445C22⋊C4—1182no—
1446C22⋊C4—1182no—
1447C22⋊C4—1182no—
1448C22⋊C4—1182no—
1449C22⋊C4—1182no—
1450C22⋊C4—1182no—
1451C22⋊C4—1182no—
1452C22⋊C4—2361no—
1453C22⋊C4—2361no—
1454C22⋊C4—2361no—
1455C22⋊C4—2361no—
1456C22⋊C4—2361no—
1457C22⋊C4—2361no—
1458C22⋊C4—2361no—
1459C22⋊C4—2361no—
1460C22⋊C4—2361no—
1461C22⋊C4—2361no—
1462C22⋊C4—2361no—
1463C22⋊C4—2361no—
1464C22⋊C4—2361no—
1465C22⋊C4—2361no—
1466C22⋊C4—2361no—
1467C42—22no—
1468C42—41no—
1469C42—594no—
1470C42—1182no—
1471C42—1182no—
1472C42—1182no—
1473C42—2361no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—592no—
1479C23—592no—
1480C23—592no—
1481C23—592no—
1482C23—592no—
1483C23—592no—
1484C23—1188no—
1485C23—1188no—
1486C23—1181no—
1487C23—1181no—
1488C23—1181no—
1489C23—1181no—
1490C23—1181no—
1491C23—1181no—
1492C23—1181no—
1493C23—1181no—
1494C23—1181no—
1495C23—1181no—
1496C23—1181no—
1497C23—1181no—
1498C23—1181no—
1499C23—1181no—
1500C23—1181no—
1501C23—1181no—
1502C23—1181no—
1503C23—1181no—
1504C23—1181no—
1505C23—1181no—
1506C23—1181no—
1507C23—1181no—
1508C23—1188no—
1509C23—1181no—
1510C23—1181no—
1511C23—1181no—
1512C23—1181no—
1513C23—1181no—
1514C23—1181no—
1515C23—1181no—
1516C23—2364no—
1517C23—2364no—
1518C23—2364no—
1519C23—2364no—
1520C23—2364no—
1521C23—2364no—
1522C23—2364no—
1523C23—2364no—
1524C23—2364no—
1525C23—2364no—
1526C23—2364no—
1527C23#41×D5912yes—
1528C23#1427377312yes—
1529C23#1427377512yes—
1530C23C24×D5911yescharacteristic
1531Q8—4722no—
1532D4—1188no—
1533D4—1188no—
1534D4—1188no—
1535D4—1188no—
1536D4—4722no—
1537D4—4722no—
1538D4—2364no—
1539D4—2364no—
1540D4—2364no—
1541C2×C4—28no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—44no—
1581C2×C4—44no—
1582C2×C4—592no—
1583C2×C4—592no—
1584C2×C4—592no—
1585C2×C4—1188no—
1586C2×C4—1181no—
1587C2×C4—1181no—
1588C2×C4—1181no—
1589C2×C4—1181no—
1590C2×C4—1181no—
1591C2×C4—1181no—
1592C2×C4—1181no—
1593C2×C4—1181no—
1594C2×C4—1181no—
1595C2×C4—1181no—
1596C2×C4—1181no—
1597C2×C4—1181no—
1598C2×C4—1181no—
1599C2×C4—1181no—
1600C2×C4—1181no—
1601C2×C4—1181no—
1602C2×C4—1181no—
1603C2×C4—1181no—
1604C2×C4—1181no—
1605C2×C4—1181no—
1606C2×C4—1181no—
1607C2×C4—1181no—
1608C2×C4—1181no—
1609C2×C4—1181no—
1610C2×C4—1181no—
1611C2×C4—1181no—
1612C2×C4—1181no—
1613C2×C4—1181no—
1614C2×C4—1181no—
1615C2×C4—1181no—
1616C2×C4—4722no—
1617C2×C4—4722no—
1618C2×C4—4722no—
1619C2×C4—2364no—
1620C2×C4—2364no—
1621C2×C4—2364no—
1622C2×C4—2364no—
1623C2×C4—2364no—
1624C2×C4—2364no—
1625C2×C4—2364no—
1626C2×C4—2364no—
1627C2×C4—2364no—
1628C2×C4—2364no—
1629C2×C4—2364no—
1630C2×C4C2×D4×D5912yes—
1631C2×C4C2×D4×D5912yes—
1632C2×C4C2×D4×D5912yes—
1633C2×C4#41×D5912yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—594no—
1641C22—1182no—
1642C22—1182no—
1643C22—1182no—
1644C22—1182no—
1645C22—1182no—
1646C22—1182no—
1647C22—1182no—
1648C22—1182no—
1649C22—1182no—
1650C22—1182no—
1651C22—1182no—
1652C22—1182no—
1653C22—1182no—
1654C22—1182no—
1655C22—1182no—
1656C22—23616no—
1657C22—23616no—
1658C22—2361no—
1659C22—2361no—
1660C22—2361no—
1661C22—2361no—
1662C22—2361no—
1663C22—2361no—
1664C22—2361no—
1665C22—2361no—
1666C22—2361no—
1667C22—2361no—
1668C22—2361no—
1669C22—2361no—
1670C22—2361no—
1671C22—2361no—
1672C22—2361no—
1673C22—2361no—
1674C22—2361no—
1675C22—2361no—
1676C22—2361no—
1677C22#1683800014yescomplemented
1678C22C22×D4×D5911yescharacteristic
1679C22C2×#41×D5911yescharacteristic
1680C22C2×#41×D5911yescharacteristic
1681C22H(5,𝔽2)×D5911yescharacteristic
1682C22C2×#1427377311yescharacteristic
1683C22C2×#1427377511yescharacteristic
1684C22#1683823911yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—1182no—
1700C4—1182no—
1701C4—1182no—
1702C4—2361no—
1703C4—2361no—
1704C4—2361no—
1705C4—2361no—
1706C4—2361no—
1707C4—2361no—
1708C4—2361no—
1709C4—2361no—
1710C2—24no—
1711C2—1184no—
1712C2—4721no—
1713C2—2362no—
1714C2—2362no—
1715C2—2362no—
1716C2#525×D5911yescharacteristic
1717C2C2×#1683800011yescharacteristic
1718C2#2143750411yescharacteristic
1719C2#2143772611yescharacteristic
1720C2#2143777311yescharacteristic
1721C2#2143804111yescharacteristic
1722C2#2143814111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2473C2
prime radical#21427468C2
hypercenter#2473D59
hypocenterC59#34991
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2473

Complements

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

NH ≅ G/Ntype
1. C2×#16838000C2semidirect
2. C22×#14273689C2semidirect
3. #21432413C2semidirect
4. #21432402C2semidirect
5. #21432391C2semidirect
6. #21432384C2semidirect
7. #21430021C2semidirect
8. #21429996C2semidirect
9. #21429966C2semidirect
10. #21429946C2semidirect
11. #21428342C2semidirect
12. #21428136C2semidirect
13. #21428091C2semidirect
14. #21428044C2semidirect
15. #21427980C2semidirect
16. #21427905C2semidirect
17. #21427900C2semidirect
18. #21427832C2semidirect
19. #21427761C2semidirect
20. #21427640C2semidirect
21. #21427576C2semidirect
22. #21427560C2semidirect
23. #21427489C2semidirect
25. #21427425C2semidirect
26. #21426795C2semidirect
27. #21426760C2semidirect
28. #21426728C2semidirect
29. C4×#14273697C2semidirect
30. #385×D59C2semidirect
31. C59×#2473C2semidirect
36. C2×#14273722C22semidirect
37. C2×#14273721C22semidirect
38. C2×#14273717C22semidirect
41. C2×#14273712C22semidirect
42. C2×#14273712C22semidirect
43. C2×#14273712C22semidirect
44. C2×#14273712C22semidirect
45. C2×#14273707C22semidirect
46. C2×#14273707C22semidirect
48. C2×#14273705C22semidirect
49. C2×#14273705C22semidirect
54. C2×C4×D236C22semidirect
55. C2×C4×D236C22semidirect
66. C2×C4⋊C4×D59C22semidirect
67. C2×C4⋊C4×D59C22semidirect
73. #16837337C22semidirect
74. #16837337C22semidirect
75. #16837337C22semidirect
76. #16837333C22semidirect
77. #16837331C22semidirect
78. #16837331C22semidirect
79. #16837331C22semidirect
80. #16837331C22semidirect
81. #16837331C22semidirect
82. #16837328C22semidirect
83. #16837326C22semidirect
84. #16837326C22semidirect
85. #16837324C22semidirect
86. #16837324C22semidirect
87. #16837322C22semidirect
90. #16837320C22semidirect
91. #16837320C22semidirect
96. #16837319C22semidirect
97. #16837319C22semidirect
98. #16837315C22semidirect
101. #16837299C22semidirect
102. #16837297C22semidirect
103. #16837297C22semidirect
104. #16837294C22semidirect
105. #16837293C22semidirect
106. #16837293C22semidirect
107. #16837293C22semidirect
108. #16837292C22semidirect
109. #16837292C22semidirect
110. #16837291C22semidirect
111. #16837291C22semidirect
112. #16837288C22semidirect
113. #16837288C22semidirect
114. #16837288C22semidirect
115. #16837287C22semidirect
116. #16837285C22semidirect
117. #16837284C22semidirect
118. #16837283C22semidirect
119. #16837283C22semidirect
126. #16837280C22semidirect
127. #16837280C22semidirect
128. #16837280C22semidirect
129. #16837280C22semidirect
130. #16837280C22semidirect
131. #16837280C22semidirect
136. #16837276C22semidirect
137. #16837276C22semidirect
138. #16837276C22semidirect
139. #16837276C22semidirect
140. #16837276C22semidirect
141. #16837276C22semidirect
142. #16837276C22semidirect
143. #16837276C22semidirect
144. #16837276C22semidirect
149. #16837273C22semidirect
150. #16837273C22semidirect
151. #16837273C22semidirect
152. #16837273C22semidirect
153. #16837273C22semidirect
154. #16837273C22semidirect
155. #16837273C22semidirect
156. #16837269C22semidirect
157. #16837266C22semidirect
158. #16837264C22semidirect
159. #16837264C22semidirect
160. #16837264C22semidirect
161. #16837261C22semidirect
164. #16837259C22semidirect
165. #16837259C22semidirect
170. C4×(C2×D59)⋊C4C22semidirect
171. C4×(C2×D59)⋊C4C22semidirect
172. #95×D59C22semidirect
173. #95×D59C22semidirect
174. C2×#125×C59C22semidirect
176. C59×#400C22semidirect
177. C59×#398C22semidirect
178. C59×#398C22semidirect
179. C59×#398C22semidirect
180. C59×#389C22semidirect
181. C59×#387C22semidirect
182. C59×#387C22semidirect
252. #14273689D4semidirect
779. C22×C59#539semidirect
860. #2473D59semidirect
900. C2×#125C2×D59semidirect
936. #400C2×D59semidirect
941. #398C2×D59semidirect
942. #398C2×D59semidirect
943. #398C2×D59semidirect
971. #389C2×D59semidirect
988. #387C2×D59semidirect
989. #387C2×D59semidirect
1050. C59#34991semidirect
1677. C22#16838000semidirect

Maximal subgroups

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

subgroupindex
C2×#168380002
C22×#142736892
#214324132
#214324022
#214323912
#214323842
#214300212
#214299962
#214299662
#214299462
#214283422
#214281362
#214280912
#214280442
#214279802
#214279052
#214279002
#214278322
#214277612
#214276402
#214275762
#214275602
#214274892
#214274682
#214274252
#214267952
#214267602
#214267282
C4×#142736972
#385×D592
C59×#24732
#3499159