Finite Group Databasebeta

← #28795456

Subgroups — #28795456

Order 15104.

2406 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837984C211yesmaximal, characteristic
2C2×C22⋊Q8×D59C211yesmaximal, characteristic, complemented
3#21432387C211yesmaximal, characteristic, complemented
4#21432385C211yesmaximal, characteristic, complemented
5#21430546C211yesmaximal, characteristic, complemented
6#21430545C211yesmaximal, characteristic, complemented
7#21430544C211yesmaximal, characteristic, complemented
8#21430543C211yesmaximal, characteristic, complemented
9#21430523C211yesmaximal, characteristic, complemented
10#21430521C211yesmaximal, characteristic, complemented
11#21430520C211yesmaximal, characteristic, complemented
12#21430518C211yesmaximal, characteristic, complemented
13#21430384C211yesmaximal, characteristic, complemented
14#21430382C211yesmaximal, characteristic, complemented
15#21430379C211yesmaximal, characteristic, complemented
16#21430377C211yesmaximal, characteristic, complemented
17#21430342C211yesmaximal, characteristic, complemented
18#21430341C211yesmaximal, characteristic, complemented
19#21430340C211yesmaximal, characteristic, complemented
20#21429868C211yesmaximal, characteristic, complemented
21#21429868C211yesmaximal, characteristic, complemented
22#21429570C211yesmaximal, characteristic, complemented
23#21429474C211yesmaximal, characteristic, complemented
24#21429441C211yesmaximal, characteristic, complemented
25#21429438C211yesmaximal, characteristic, complemented
26#21428409C211yesmaximal, characteristic, complemented
27#21428406C211yesmaximal, characteristic, complemented
28#21427751C211yesmaximal, characteristic, complemented
29#21427735C211yesmaximal, characteristic, complemented
30#21426690C211yesmaximal, characteristic, complemented
31C59×#2672C211yesmaximal, characteristic, complemented
32C22×Q8×D59C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34#16837984—28no—
35C2×#14273726C2211yescharacteristic, complemented
36C2×#14273726C2211yescharacteristic, complemented
37C2×#14273722C2211yescharacteristic
38C2×#14273720C2211yescharacteristic
39C2×#14273714C2211yescharacteristic
40C2×#14273714C2211yescharacteristic, complemented
41C2×#14273713C2211yescharacteristic
42C2×#14273710C2211yescharacteristic
43C2×#14273709C2211yescharacteristic
44C2×#14273709C2211yescharacteristic
45C2×#14273708C2211yescharacteristic
46C2×#14273708C2211yescharacteristic
47C2×#14273707C2211yescharacteristic
48C2×#14273706C2211yescharacteristic
49C2×#14273705C2211yescharacteristic
50C2×#14273705C2211yescharacteristic
51C2×#14273705C2211yescharacteristic
52C2×#14273704C2211yescharacteristic
53C2×#14273704C2211yescharacteristic
54C2×#14273703C2211yescharacteristic
55C22⋊Q8×D59—28no—
56C2×#14273699C2211yescharacteristic
57C2×#14273698C2211yescharacteristic
58C2×#14273695C2211yescharacteristic
59C2×#14273695C2211yescharacteristic
60C2×C4×C22⋊D59C2211yescharacteristic
61C2×(C22⋊D59)⋊C4C2211yescharacteristic
62C2×C4⋊C4×D59C2211yescharacteristic
63C2×C4⋊C4×D59C2211yescharacteristic
64C2×C4⋊C4×D59C2211yescharacteristic
65C2×C22⋊C4×D59C2211yescharacteristic
66C2×C22⋊C4×D59C2211yescharacteristic
67#16837343C2211yescharacteristic, complemented
68#16837343C2211yescharacteristic, complemented
69#16837342C2211yescharacteristic, complemented
70#16837342C2211yescharacteristic, complemented
71#16837341C2211yescharacteristic, complemented
72#16837340C2211yescharacteristic, complemented
73#16837338C2211yescharacteristic, complemented
74#16837338C2211yescharacteristic, complemented
75#16837338C2211yescharacteristic, complemented
76#16837336C2211yescharacteristic, complemented
77#16837336C2211yescharacteristic, complemented
78#16837335C2211yescharacteristic, complemented
79#16837335C2211yescharacteristic, complemented
80#16837333C2211yescharacteristic, complemented
81#16837332C2211yescharacteristic, complemented
82#16837331C2211yescharacteristic
83#16837331C2211yescharacteristic
84#16837330C2211yescharacteristic
85#16837330C2211yescharacteristic
86#16837328C2211yescharacteristic
87#16837328C2211yescharacteristic
88#16837327C2211yescharacteristic
89#16837327C2211yescharacteristic
90#16837325C2211yescharacteristic, complemented
91#16837325C2211yescharacteristic, complemented
92#16837325C2211yescharacteristic, complemented
93#16837323C2211yescharacteristic, complemented
94#16837323C2211yescharacteristic, complemented
95#16837322C2211yescharacteristic, complemented
96#16837322C2211yescharacteristic, complemented
97#16837321C2211yescharacteristic, complemented
98#16837318C2211yescharacteristic
99#16837318C2211yescharacteristic
100#16837317C2211yescharacteristic
101#16837317C2211yescharacteristic
102#16837316C2211yescharacteristic
103#16837316C2211yescharacteristic
104#16837316C2211yescharacteristic, complemented
105#16837314C2211yescharacteristic, complemented
106#16837314C2211yescharacteristic, complemented
107#16837314C2211yescharacteristic, complemented
108#16837314C2211yescharacteristic, complemented
109#16837309C2211yescharacteristic, complemented
110#16837308C2211yescharacteristic, complemented
111#16837306C2211yescharacteristic, complemented
112#16837306C2211yescharacteristic, complemented
113#16837301C2211yescharacteristic, complemented
114#16837300C2211yescharacteristic, complemented
115#16837298C2211yescharacteristic, complemented
116#16837297C2211yescharacteristic, complemented
117#16837297C2211yescharacteristic, complemented
118#16837297C2211yescharacteristic, complemented
119#16837297C2211yescharacteristic, complemented
120#16837296C2211yescharacteristic
121#16837295C2211yescharacteristic
122#16837295C2211yescharacteristic, complemented
123#16837295C2211yescharacteristic, complemented
124#16837294C2211yescharacteristic
125#16837293C2211yescharacteristic
126#16837292C2211yescharacteristic
127#16837291C2211yescharacteristic
128#16837290C2211yescharacteristic
129#16837290C2211yescharacteristic, complemented
130#16837290C2211yescharacteristic, complemented
131#16837288C2211yescharacteristic, complemented
132#16837287C2211yescharacteristic, complemented
133#16837284C2211yescharacteristic, complemented
134#16837283C2211yescharacteristic, complemented
135#16837282C2211yescharacteristic
136#16837278C2211yescharacteristic
137#16837278C2211yescharacteristic
138#16837278C2211yescharacteristic
139#16837278C2211yescharacteristic
140#16837278C2211yescharacteristic
141#16837278C2211yescharacteristic
142#16837278C2211yescharacteristic
143#16837278C2211yescharacteristic
144#16837278C2211yescharacteristic
145#16837278C2211yescharacteristic
146#16837277C2211yescharacteristic
147#16837277C2211yescharacteristic, complemented
148#16837276C2211yescharacteristic
149#16837276C2211yescharacteristic
150#16837276C2211yescharacteristic
151#16837276C2211yescharacteristic
152#16837275C2211yescharacteristic
153#16837275C2211yescharacteristic, complemented
154#16837274C2211yescharacteristic, complemented
155#16837273C2211yescharacteristic
156#16837273C2211yescharacteristic
157#16837273C2211yescharacteristic
158#16837273C2211yescharacteristic
159#16837273C2211yescharacteristic
160#16837273C2211yescharacteristic
161#16837265C2211yescharacteristic
162#16837264C2211yescharacteristic
163#16837264C2211yescharacteristic
164#16837263C2211yescharacteristic
165#16837262C2211yescharacteristic, complemented
166#16837261C2211yescharacteristic
167#16837260C2211yescharacteristic, complemented
168#16837260C2211yescharacteristic, complemented
169#16837259C2211yescharacteristic
170#16837257C2211yescharacteristic
171#16837257C2211yescharacteristic
172C4×(C2×D59)⋊C4C2211yescharacteristic
173#16837249C2211yescharacteristic
174C2×#124×C59C2211yescharacteristic, complemented
175C2×#123×C59C2211yescharacteristic
176C2×C22⋊Q8×C59C2211yescharacteristic
177C2×#121×C59C2211yescharacteristic
178C59×#399C2211yescharacteristic, complemented
179C59×#396C2211yescharacteristic, complemented
180C59×#395C2211yescharacteristic, complemented
181C59×#394C2211yescharacteristic
182C59×#394C2211yescharacteristic
183C59×#394C2211yescharacteristic, complemented
184C59×#389C2211yescharacteristic, complemented
185C59×#388C2211yescharacteristic
186C59×#386C2211yescharacteristic
187C59×#385C2211yescharacteristic, complemented
188C59×#380C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C22×Dic118C2311yescharacteristic
191C22×Dic118C2311yescharacteristic
192C22×Dic118C2311yescharacteristic
193C22×Dic118C2311yescharacteristic
194C2×Q8×D59—24no—
195C2×Q8×D59—42no—
196C2×Q8×D59—42no—
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C23×Dic59C2311yescharacteristic
202C23×Dic59C2311yescharacteristic
203C22×C4×D59—24no—
204C22×C4×D59—42no—
205C22×C4×D59—42no—
206C22×C4×D59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214#14273726—42no—
215#14273726—42no—
216#14273722—24no—
217#14273720—24no—
218#14273714—24no—
219#14273714—42no—
220#14273713—24no—
221#14273710—24no—
222#14273709—42no—
223#14273709—42no—
224#14273708—24no—
225#14273708—42no—
226#14273707—24no—
227#14273706—24no—
228#14273705—24no—
229#14273705—24no—
230#14273705—24no—
231#14273704—24no—
232#14273704—24no—
233#14273703—24no—
234#14273699—24no—
235#14273698—24no—
236#14273695—24no—
237#14273695—24no—
238C4×C22⋊D59—24no—
239(C22⋊D59)⋊C4—24no—
240C2×C4⋊Dic59C2311yescharacteristic
241C2×C4⋊Dic59C2311yescharacteristic
242C2×C4⋊Dic59C2311yescharacteristic
243C2×C4⋊Dic59C2311yescharacteristic
244C2×C4⋊Dic59C2311yescharacteristic
245C2×C4⋊Dic59C2311yescharacteristic
246C2×C4⋊Dic59C2311yescharacteristic
247C2×C4⋊Dic59C2311yescharacteristic
248C2×C4⋊Dic59C2311yescharacteristic
249C2×Dic59⋊C4C2311yescharacteristic
250C2×Dic59⋊C4C2311yescharacteristic
251C2×Dic59⋊C4C2311yescharacteristic
252C2×Dic59⋊C4C2311yescharacteristic
253C2×Dic59⋊C4C2311yescharacteristic
254C2×Dic59⋊C4C2311yescharacteristic
255C2×Dic59⋊C4C2311yescharacteristic
256C2×Dic59⋊C4C2311yescharacteristic
257C2×Dic59⋊C4C2311yescharacteristic
258C2×Dic59⋊C4C2311yescharacteristic
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
269C4⋊C4×D59—24no—
270C4⋊C4×D59—24no—
271C4⋊C4×D59—24no—
272C2×C22⋊Dic59C2311yescharacteristic
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×C22⋊Dic59C2311yescharacteristic
286C2×C22⋊Dic59C2311yescharacteristic
287C2×C22⋊Dic59C2311yescharacteristic
288C2×C22⋊Dic59C2311yescharacteristic
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
305C22⋊C4×D59—24no—
306C22⋊C4×D59D418yes—
307C2×C4×Dic59C2311yescharacteristic
308C2×C4×Dic59C2311yescharacteristic
309C2×C4×Dic59C2311yescharacteristic
310C2×C4×Dic59C2311yescharacteristic
311C2×C4×Dic59C2311yescharacteristic
312C59⋊#95C2311yescharacteristic
313C59⋊#95C2311yescharacteristic
314C59⋊#95C2311yescharacteristic
315C59⋊#95C2311yescharacteristic
316C59⋊#95C2311yescharacteristic
317C59⋊#95C2311yescharacteristic
318C59⋊#95C2311yescharacteristic
319C59⋊#95C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
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
346C22×Q8×C59C2311yescharacteristic
347C22×D4×C59C2311yescharacteristic
348C22×D4×C59C2311yescharacteristic
349C22×D4×C59C2311yescharacteristic
350C23×C4×C59C2311yescharacteristic
351C23×C4×C59C2311yescharacteristic
352#124×C59—42no—
353#123×C59—42no—
354C22⋊Q8×C59—24no—
355#121×C59—24no—
356C2×C4⋊C4×C59C2311yescharacteristic
357C2×C4⋊C4×C59C2311yescharacteristic
358C2×C4⋊C4×C59C2311yescharacteristic
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×C22⋊C4×C59C2311yescharacteristic
366C2×C22⋊C4×C59C2311yescharacteristic
367C2×C22⋊C4×C59C2311yescharacteristic
368C2×C22⋊C4×C59C2311yescharacteristic
369C2×C22⋊C4×C59C2311yescharacteristic
370C2×C22⋊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×C42×C59C2311yescharacteristic
379#95×C59C2311yescharacteristic
380#95×C59C2311yescharacteristic
381#95×C59C2311yescharacteristic
382#95×C59C2311yescharacteristic
383#95×C59C2311yescharacteristic
384#95×C59C2311yescharacteristic
385C24×C59C2411yescharacteristic
386C24×C59C2411yescharacteristic
387C24×C59C2411yescharacteristic
388C23×D59—22no—
389C23×D59—22no—
390C23×D59—41no—
391C23×D59—41no—
392C23×D59—41no—
393C23×D59—41no—
394C23×D59C2×D414yes—
395C23×D59C2411yescharacteristic
396C23×D59C2411yescharacteristic
397C2×Q8×C59—22no—
398C2×Q8×C59—22no—
399C2×Q8×C59—41no—
400C2×D4×C59—22no—
401C2×D4×C59—22no—
402C2×D4×C59—22no—
403C2×D4×C59—41no—
404C2×D4×C59—41no—
405C2×D4×C59—41no—
406C2×D4×C59—41no—
407C2×D4×C59—41no—
408C2×D4×C59—41no—
409C22×C4×C59—22no—
410C22×C4×C59—22no—
411C22×C4×C59—22no—
412C22×C4×C59—41no—
413C22×C4×C59—41no—
414C22×C4×C59—41no—
415C22×C4×C59C2411yescharacteristic
416C22×C4×C59C2411yescharacteristic
417C22×C4×C59C2411yescharacteristic
418C22×C4×C59C2411yescharacteristic
419C22×C4×C59C2411yescharacteristic
420C22×C4×C59C2411yescharacteristic
421C22×C4×C59C2411yescharacteristic
422C22×C4×C59C2411yescharacteristic
423C22×C4×C59C2411yescharacteristic
424C22×C4×C59C2411yescharacteristic
425C22×C4×C59C2411yescharacteristic
426C22×C4×C59C2411yescharacteristic
427C2×C22⋊D59—22no—
428C2×C22⋊D59—22no—
429C2×C22⋊D59—22no—
430C2×C22⋊D59—22no—
431C2×C22⋊D59—22no—
432C2×C22⋊D59—22no—
433C2×C22⋊D59—22no—
434C2×C22⋊D59—22no—
435C2×C22⋊D59—41no—
436C2×C22⋊D59—41no—
437C2×C22⋊D59—41no—
438C2×C22⋊D59—41no—
439C22×Dic59—22no—
440C22×Dic59—22no—
441C22×Dic59—22no—
442C22×Dic59—41no—
443C22×Dic59—41no—
444C22×Dic59—41no—
445C22×Dic59C2411yescharacteristic
446C22×Dic59C2411yescharacteristic
447C22×Dic59C2411yescharacteristic
448C22×Dic59C2411yescharacteristic
449C22×Dic59C2411yescharacteristic
450C22×Dic59C2411yescharacteristic
451C22×Dic59C2411yescharacteristic
452C22×Dic59C2411yescharacteristic
453C22×Dic59C2411yescharacteristic
454C22×Dic59C2411yescharacteristic
455C22×Dic59C2411yescharacteristic
456C22×Dic59C2411yescharacteristic
457C22×Dic59C2411yescharacteristic
458C22×Dic59C2411yescharacteristic
459Q8×D59—416no—
460C2×C4×D59—22no—
461C2×C4×D59—22no—
462C2×C4×D59—22no—
463C2×C4×D59—22no—
464C2×C4×D59—22no—
465C2×C4×D59—22no—
466C2×C4×D59—22no—
467C2×C4×D59—22no—
468C2×C4×D59—22no—
469C2×C4×D59—22no—
470C2×C4×D59—416no—
471C2×C4×D59—41no—
472C2×C4×D59—41no—
473C2×C4×D59—41no—
474C2×C4×D59—41no—
475C2×C4×D59—41no—
476C2×C4×D59—41no—
477C2×C4×D59—41no—
478C2×C4×D59—41no—
479C2×C4×D59—41no—
480C2×C4×D59—41no—
481C2×C4×D59—41no—
482C2×C4×D59—41no—
483C2×C4×D59C2×D414yes—
484C2×C4×D59C2×D414yes—
485C2×Dic118—22no—
486C2×Dic118—22no—
487C2×Dic118—22no—
488C2×Dic118—22no—
489C2×Dic118—22no—
490C2×Dic118—22no—
491C2×Dic118—22no—
492C2×Dic118—41no—
493C2×Dic118—41no—
494C2×Dic118—41no—
495C2×Dic118—41no—
496C2×Dic118—41no—
497C4⋊C4×C59—22no—
498C4⋊C4×C59—22no—
499C4⋊C4×C59—22no—
500C4⋊C4×C59—22no—
501C4⋊C4×C59—22no—
502C4⋊C4×C59—41no—
503C4⋊C4×C59—41no—
504C4⋊C4×C59—41no—
505C4⋊C4×C59—41no—
506C22⋊C4×C59—22no—
507C22⋊C4×C59—22no—
508C22⋊C4×C59—22no—
509C22⋊C4×C59—22no—
510C22⋊C4×C59—41no—
511C22⋊C4×C59—41no—
512C22⋊C4×C59—41no—
513C22⋊C4×C59—41no—
514C22⋊C4×C59—41no—
515C22⋊C4×C59—41no—
516C22⋊C4×C59—41no—
517C22⋊C4×C59—41no—
518C22⋊C4×C59C2×D414yes—
519C42×C59—41no—
520C22⋊Dic59—22no—
521C22⋊Dic59—22no—
522C22⋊Dic59—22no—
523C22⋊Dic59—22no—
524C22⋊Dic59—22no—
525C22⋊Dic59—22no—
526C22⋊Dic59—22no—
527C22⋊Dic59—22no—
528C22⋊Dic59—41no—
529C22⋊Dic59—41no—
530C22⋊Dic59—41no—
531C22⋊Dic59—41no—
532C22⋊Dic59—41no—
533C22⋊Dic59—41no—
534C22⋊Dic59—41no—
535C22⋊Dic59—41no—
536C22⋊Dic59C2×D414yes—
537(C2×D59)⋊C4—22no—
538(C2×D59)⋊C4—22no—
539(C2×D59)⋊C4—22no—
540(C2×D59)⋊C4—22no—
541(C2×D59)⋊C4—22no—
542(C2×D59)⋊C4—22no—
543(C2×D59)⋊C4—22no—
544(C2×D59)⋊C4—22no—
545(C2×D59)⋊C4—22no—
546(C2×D59)⋊C4—22no—
547(C2×D59)⋊C4—41no—
548(C2×D59)⋊C4—41no—
549(C2×D59)⋊C4—41no—
550(C2×D59)⋊C4—41no—
551(C2×D59)⋊C4C2×D414yes—
552(C2×D59)⋊C4C2×D414yes—
553C4⋊Dic59—22no—
554C4⋊Dic59—22no—
555C4⋊Dic59—22no—
556C4⋊Dic59—22no—
557C4⋊Dic59—22no—
558C4⋊Dic59—41no—
559C4⋊Dic59—41no—
560C4⋊Dic59—41no—
561C4⋊Dic59—41no—
562Dic59⋊C4—22no—
563Dic59⋊C4—22no—
564Dic59⋊C4—22no—
565Dic59⋊C4—22no—
566Dic59⋊C4—22no—
567Dic59⋊C4—22no—
568Dic59⋊C4—22no—
569Dic59⋊C4—22no—
570Dic59⋊C4—22no—
571Dic59⋊C4—22no—
572Dic59⋊C4—22no—
573Dic59⋊C4—22no—
574Dic59⋊C4—41no—
575Dic59⋊C4—41no—
576Dic59⋊C4—41no—
577Dic59⋊C4—41no—
578Dic59⋊C4—41no—
579Dic59⋊C4—41no—
580Dic59⋊C4—41no—
581Dic59⋊C4—41no—
582C4×Dic59—22no—
583C4×Dic59—22no—
584C4×Dic59—41no—
585C4×Dic59—41no—
586C4×Dic59—41no—
587C23×C59—21no—
588C23×C59—21no—
589C23×C59—21no—
590C23×C59—21no—
591C23×C59—21no—
592C23×C59—21no—
593C23×C59—21no—
594C23×C59—21no—
595C23×C59—21no—
596C23×C59—21no—
597C23×C59—21no—
598C23×C59—21no—
599C23×C59—21no—
600C23×C59—21no—
601C23×C59—21no—
602C23×C59—21no—
603C23×C59—21no—
604C23×C59—21no—
605C23×C59—21no—
606C23×C59—21no—
607C23×C59C22×D412yes—
608C23×C59C2511yescharacteristic
609C22×D59—21no—
610C22×D59—21no—
611C22×D59—21no—
612C22×D59—21no—
613C22×D59—21no—
614C22×D59—21no—
615C22×D59—21no—
616C22×D59—21no—
617C22×D59—21no—
618C22×D59—21no—
619C22×D59—28no—
620C22×D59—44no—
621C22×D59—44no—
622C22×D59—44no—
623C22×D59—44no—
624C22×D59—44no—
625C22×D59—44no—
626C22×D59C22×D412yes—
627C22×D59C22×D412yes—
628C22×D592−1+412yes—
629C22×D592−1+412yes—
630Q8×C59—44no—
631D4×C59—82no—
632D4×C59—82no—
633D4×C59—82no—
634C2×C4×C59—21no—
635C2×C4×C59—21no—
636C2×C4×C59—21no—
637C2×C4×C59—21no—
638C2×C4×C59—21no—
639C2×C4×C59—21no—
640C2×C4×C59—21no—
641C2×C4×C59—21no—
642C2×C4×C59—21no—
643C2×C4×C59—21no—
644C2×C4×C59—21no—
645C2×C4×C59—21no—
646C2×C4×C59—21no—
647C2×C4×C59—21no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—21no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59—21no—
665C2×C4×C59—21no—
666C2×C4×C59—21no—
667C2×C4×C59—44no—
668C2×C4×C59—82no—
669C2×C4×C59C22×D412yes—
670C2×C4×C59C22×D412yes—
671C2×C4×C59H(5,𝔽2)12yes—
672C22⋊D59—44no—
673C22⋊D59—44no—
674C22⋊D59—82no—
675C22⋊D59—82no—
676C2×Dic59—21no—
677C2×Dic59—21no—
678C2×Dic59—21no—
679C2×Dic59—21no—
680C2×Dic59—21no—
681C2×Dic59—21no—
682C2×Dic59—21no—
683C2×Dic59—21no—
684C2×Dic59—21no—
685C2×Dic59—21no—
686C2×Dic59—21no—
687C2×Dic59—21no—
688C2×Dic59—21no—
689C2×Dic59—21no—
690C2×Dic59—21no—
691C2×Dic59—21no—
692C2×Dic59—21no—
693C2×Dic59—21no—
694C2×Dic59—21no—
695C2×Dic59—21no—
696C2×Dic59—21no—
697C2×Dic59—21no—
698C2×Dic59—21no—
699C2×Dic59—21no—
700C2×Dic59—21no—
701C2×Dic59—21no—
702C2×Dic59—21no—
703C2×Dic59—21no—
704C2×Dic59—21no—
705C2×Dic59—21no—
706C2×Dic59—21no—
707C2×Dic59—21no—
708C2×Dic59—21no—
709C2×Dic59—21no—
710C2×Dic59—21no—
711C2×Dic59—21no—
712C2×Dic59—21no—
713C2×Dic59—21no—
714C2×Dic59—21no—
715C2×Dic59—44no—
716C2×Dic59—82no—
717C2×Dic59C22×D412yes—
718C2×Dic59C22×D412yes—
719C2×Dic59H(5,𝔽2)12yes—
720C4×D59—28no—
721C4×D59—44no—
722C4×D59—44no—
723C4×D59—44no—
724C4×D59—44no—
725C4×D59—44no—
726C4×D59—44no—
727C4×D59—44no—
728Dic118—44no—
729Dic118—44no—
730Dic118—44no—
731Dic118—82no—
732#36705—591nomaximal, Sylow
733C22×C59—22no—
734C22×C59—22no—
735C22×C59—22no—
736C22×C59—41no—
737C22×C59—41no—
738C22×C59—41no—
739C22×C59—41no—
740C22×C59—41no—
741C22×C59—41no—
742C22×C59—41no—
743C22×C59—41no—
744C22×C59—41no—
745C22×C59—41no—
746C22×C59—41no—
747C22×C59—41no—
748C22×C59—41no—
749C22×C59—41no—
750C22×C59—41no—
751C22×C59—41no—
752C22×C59—41no—
753C22×C59—41no—
754C22×C59C23×D411yescharacteristic
755C22×C59C2×H(5,𝔽2)11yescharacteristic
756C22×C59C2×H(5,𝔽2)11yescharacteristic
757C22×C59C2×2−1+411yescharacteristic
758C22×C59C2×2−1+411yescharacteristic
759C22×C59#58511yescharacteristic
760C22×C59#58511yescharacteristic
761C2×D59—22no—
762C2×D59—22no—
763C2×D59—22no—
764C2×D59—22no—
765C2×D59—22no—
766C2×D59—22no—
767C2×D59—22no—
768C2×D59—22no—
769C2×D59—22no—
770C2×D59—416no—
771C2×D59—41no—
772C2×D59—41no—
773C2×D59—41no—
774C2×D59—41no—
775C2×D59#53614yes—
776C4×C59—22no—
777C4×C59—22no—
778C4×C59—22no—
779C4×C59—41no—
780C4×C59—41no—
781C4×C59—41no—
782C4×C59—41no—
783C4×C59—41no—
784C4×C59—41no—
785C4×C59—41no—
786C4×C59—41no—
787C4×C59—41no—
788Dic59—22no—
789Dic59—22no—
790Dic59—22no—
791Dic59—41no—
792Dic59—41no—
793Dic59—41no—
794Dic59—41no—
795Dic59—41no—
796Dic59—41no—
797Dic59—41no—
798Dic59—41no—
799Dic59—41no—
800Dic59—41no—
801Dic59—41no—
802C2×#538—591no—
803C22×C22⋊Q8—591no—
804#2849—591no—
805#2849—591no—
806#2689—591no—
807#2689—591no—
808#2689—591no—
809#2689—591no—
810#2687—591no—
811#2687—591no—
812#2687—591no—
813#2687—591no—
814#2674—591no—
815#2674—591no—
816#2674—591no—
817#2674—591no—
818#2672—591no—
819#2672—591no—
820#2672—591no—
821#2672D5911yescharacteristic, complemented
822#2622—591no—
823#2622—591no—
824#2591—591no—
825#2583—591no—
826#2579—591no—
827#2579—591no—
828#2487—591no—
829#2487—591no—
830#2436—591no—
831#2434—591no—
832#2312—591no—
833C2×C59—42no—
834C2×C59—81no—
835C2×C59—81no—
836C2×C59C2×#53611yescharacteristic
837C2×C59#348411yescharacteristic
838C2×C59#348511yescharacteristic
839C2×C59#354111yescharacteristic
840C2×C59#354111yescharacteristic
841C2×C59#354111yescharacteristic
842C2×C59#354111yescharacteristic
843D59—24no—
844D59—42no—
845C23×Q8—591no—
846C24×C4—591no—
847#538—1188no—
848C2×C4⋊Q8—591no—
849C2×C4⋊Q8—591no—
850C2×#126—591no—
851C2×#126—591no—
852C2×#124—591no—
853C2×#124—591no—
854C2×#124—591no—
855C2×#124C2×D5911yescharacteristic, complemented
856C2×#123—591no—
857C2×#123—591no—
858C2×#123—591no—
859C2×#123—591no—
860C2×#123—591no—
861C2×#123C2×D5911yescharacteristic
862C2×C22⋊Q8—591no—
863C2×C22⋊Q8—591no—
864C2×C22⋊Q8—591no—
865C2×C22⋊Q8—591no—
866C2×C22⋊Q8—591no—
867C2×C22⋊Q8—591no—
868C2×C22⋊Q8—591no—
869C2×C22⋊Q8—591no—
870C2×C22⋊Q8—1188no—
871C2×C22⋊Q8C2×D5911yescharacteristic
872C2×#121—591no—
873C2×#121—591no—
874C2×#121C2×D5911yescharacteristic
875C2×#120—591no—
876C2×#120—591no—
877C2×C4×D4—591no—
878C2×C4×D4—591no—
879C22×C4⋊C4—591no—
880C22×C4⋊C4—591no—
881C22×C4⋊C4—591no—
882C22×C22⋊C4—591no—
883C22×C22⋊C4—591no—
884#400—591no—
885#400—591no—
886#400—591no—
887#400—591no—
888#400—591no—
889#400—591no—
890#399—591no—
891#399—591no—
892#399—591no—
893#399C2×D5911yescharacteristic, complemented
894#398—591no—
895#398—591no—
896#398—591no—
897#398—591no—
898#398—591no—
899#398—591no—
900#397—591no—
901#397—591no—
902#397—591no—
903#397—591no—
904#397—591no—
905#397—591no—
906#397—591no—
907#397—591no—
908#396—591no—
909#396—591no—
910#396—591no—
911#396C2×D5911yescharacteristic, complemented
912#395—591no—
913#395—591no—
914#395—591no—
915#395—591no—
916#395—591no—
917#395C2×D5911yescharacteristic, complemented
918#394—591no—
919#394—591no—
920#394—591no—
921#394—591no—
922#394—591no—
923#394—591no—
924#394—591no—
925#394C2×D5911yescharacteristic
926#394C2×D5911yescharacteristic
927#394C2×D5911yescharacteristic, complemented
928#393—591no—
929#393—591no—
930#393—591no—
931#393—591no—
932#391—591no—
933#391—591no—
934#391—591no—
935#391—591no—
936#389—591no—
937#389—591no—
938#389—591no—
939#389—591no—
940#389—591no—
941#389—591no—
942#389—591no—
943#389C2×D5911yescharacteristic, complemented
944#388—591no—
945#388—591no—
946#388—591no—
947#388—591no—
948#388—591no—
949#388—591no—
950#388—591no—
951#388—591no—
952#388—591no—
953#388—591no—
954#388—591no—
955#388C2×D5911yescharacteristic
956#387—591no—
957#387—591no—
958#387—591no—
959#387—591no—
960#386—591no—
961#386—591no—
962#386—591no—
963#386—591no—
964#386—591no—
965#386—591no—
966#386—591no—
967#386—591no—
968#386—591no—
969#386—591no—
970#386—591no—
971#386C2×D5911yescharacteristic
972#385—591no—
973#385—591no—
974#385—591no—
975#385—591no—
976#385—591no—
977#385—591no—
978#385—591no—
979#385—591no—
980#385—591no—
981#385—591no—
982#385—591no—
983#385—591no—
984#385—591no—
985#385—591no—
986#385—591no—
987#385C2×D5911yescharacteristic, complemented
988#381—591no—
989#381—591no—
990#381—591no—
991#381—591no—
992#380—591no—
993#380—591no—
994#380—591no—
995#380—591no—
996#380—591no—
997#380C2×D5911yescharacteristic, complemented
998#379—591no—
999#379—591no—
1000C4×C22⋊C4—591no—
1001C4×C22⋊C4—591no—
1002C59#3670511yescharacteristic, complemented, Sylow
1003C25—591no—
1004C22×Q8—591no—
1005C22×Q8—591no—
1006C22×Q8—591no—
1007C22×Q8—591no—
1008C22×Q8—1184no—
1009C22×Q8—2362no—
1010C22×Q8—2362no—
1011C22×Q8C22×D5911yescharacteristic
1012C22×D4—591no—
1013C22×D4—591no—
1014C22×D4—591no—
1015C22×D4—591no—
1016C22×D4C22×D5911yescharacteristic
1017C22×D4C22×D5911yescharacteristic
1018C22×D4C22×D5911yescharacteristic
1019C23×C4—591no—
1020C23×C4—591no—
1021C23×C4—591no—
1022C23×C4—591no—
1023C23×C4—591no—
1024C23×C4—591no—
1025C23×C4—591no—
1026C23×C4—591no—
1027C23×C4—591no—
1028C23×C4—591no—
1029C23×C4—1184no—
1030C23×C4—2362no—
1031C23×C4—2362no—
1032C23×C4C22×D5911yescharacteristic
1033C23×C4C22×D5911yescharacteristic
1034C4⋊Q8—2362no—
1035C4⋊Q8—2362no—
1036#126—1184no—
1037#126—1184no—
1038#124—42no—
1039#124—1184no—
1040#124—1184no—
1041#124—2362no—
1042#123—42no—
1043#123—1184no—
1044#123—1184no—
1045#123—2362no—
1046#123—2362no—
1047#123—2362no—
1048C22⋊Q8—24no—
1049C22⋊Q8—1184no—
1050C22⋊Q8—1184no—
1051C22⋊Q8—1184no—
1052C22⋊Q8—1184no—
1053C22⋊Q8—1184no—
1054C22⋊Q8—1184no—
1055C22⋊Q8—1184no—
1056C22⋊Q8—1184no—
1057#121—24no—
1058#121—1184no—
1059#121—1184no—
1060#120—1184no—
1061#120—1184no—
1062C4×D4—1184no—
1063C4×D4—1184no—
1064C2×C4⋊C4—591no—
1065C2×C4⋊C4—591no—
1066C2×C4⋊C4—591no—
1067C2×C4⋊C4—591no—
1068C2×C4⋊C4—591no—
1069C2×C4⋊C4—591no—
1070C2×C4⋊C4—591no—
1071C2×C4⋊C4—591no—
1072C2×C4⋊C4—591no—
1073C2×C4⋊C4—591no—
1074C2×C4⋊C4—591no—
1075C2×C4⋊C4—591no—
1076C2×C4⋊C4—591no—
1077C2×C4⋊C4—591no—
1078C2×C4⋊C4—591no—
1079C2×C4⋊C4—591no—
1080C2×C4⋊C4—591no—
1081C2×C4⋊C4—591no—
1082C2×C4⋊C4—591no—
1083C2×C4⋊C4—591no—
1084C2×C4⋊C4—591no—
1085C2×C4⋊C4—591no—
1086C2×C4⋊C4—591no—
1087C2×C4⋊C4—591no—
1088C2×C4⋊C4—591no—
1089C2×C4⋊C4—591no—
1090C2×C4⋊C4—591no—
1091C2×C4⋊C4—591no—
1092C2×C4⋊C4—591no—
1093C2×C4⋊C4—1184no—
1094C2×C4⋊C4—1184no—
1095C2×C4⋊C4—1184no—
1096C2×C4⋊C4C22×D5911yescharacteristic
1097C2×C4⋊C4C22×D5911yescharacteristic
1098C2×C4⋊C4C22×D5911yescharacteristic
1099C2×C4⋊C4C22×D5911yescharacteristic
1100C2×C4⋊C4C22×D5911yescharacteristic
1101C2×C4⋊C4C22×D5911yescharacteristic
1102C2×C4⋊C4C22×D5911yescharacteristic
1103C2×C4⋊C4C22×D5911yescharacteristic
1104C2×C4⋊C4C22×D5911yescharacteristic
1105C2×C22⋊C4—591no—
1106C2×C22⋊C4—591no—
1107C2×C22⋊C4—591no—
1108C2×C22⋊C4—598no—
1109C2×C22⋊C4—591no—
1110C2×C22⋊C4—591no—
1111C2×C22⋊C4—591no—
1112C2×C22⋊C4—591no—
1113C2×C22⋊C4—591no—
1114C2×C22⋊C4—591no—
1115C2×C22⋊C4—591no—
1116C2×C22⋊C4—591no—
1117C2×C22⋊C4—591no—
1118C2×C22⋊C4—591no—
1119C2×C22⋊C4—591no—
1120C2×C22⋊C4—591no—
1121C2×C22⋊C4—591no—
1122C2×C22⋊C4—591no—
1123C2×C22⋊C4—591no—
1124C2×C22⋊C4—591no—
1125C2×C22⋊C4—591no—
1126C2×C22⋊C4—591no—
1127C2×C22⋊C4—591no—
1128C2×C22⋊C4—591no—
1129C2×C22⋊C4—591no—
1130C2×C22⋊C4—591no—
1131C2×C22⋊C4—591no—
1132C2×C22⋊C4—591no—
1133C2×C22⋊C4—591no—
1134C2×C22⋊C4—591no—
1135C2×C22⋊C4—591no—
1136C2×C22⋊C4—591no—
1137C2×C22⋊C4—591no—
1138C2×C22⋊C4—591no—
1139C2×C22⋊C4—1184no—
1140C2×C22⋊C4C22×D5911yescharacteristic
1141C2×C22⋊C4C22×D5911yescharacteristic
1142C2×C22⋊C4C22×D5911yescharacteristic
1143C2×C22⋊C4C22×D5911yescharacteristic
1144C2×C22⋊C4C22×D5911yescharacteristic
1145C2×C22⋊C4C22×D5911yescharacteristic
1146C2×C22⋊C4C22×D5911yescharacteristic
1147C2×C22⋊C4C22×D5911yescharacteristic
1148C2×C22⋊C4C22×D5911yescharacteristic
1149C2×C22⋊C4C22×D5911yescharacteristic
1150C2×C22⋊C4C22×D5911yescharacteristic
1151C2×C22⋊C4C22×D5911yescharacteristic
1152C2×C22⋊C4C22×D5911yescharacteristic
1153C2×C42—591no—
1154C2×C42—591no—
1155C2×C42—591no—
1156C2×C42—591no—
1157C2×C42—591no—
1158C2×C42C22×D5911yescharacteristic
1159#95—591no—
1160#95—591no—
1161#95—591no—
1162#95—591no—
1163#95—591no—
1164#95—591no—
1165#95—591no—
1166#95—591no—
1167#95—591no—
1168#95—591no—
1169#95—591no—
1170#95—591no—
1171#95—591no—
1172#95—591no—
1173#95—591no—
1174#95—591no—
1175#95—591no—
1176#95—591no—
1177#95—591no—
1178#95—591no—
1179#95—591no—
1180#95—591no—
1181#95—591no—
1182#95—591no—
1183#95—591no—
1184#95—591no—
1185#95—591no—
1186#95—591no—
1187#95—591no—
1188#95—591no—
1189#95—591no—
1190#95—591no—
1191#95—591no—
1192#95—591no—
1193#95C22×D5911yescharacteristic
1194#95C22×D5911yescharacteristic
1195#95C22×D5911yescharacteristic
1196#95C22×D5911yescharacteristic
1197#95C22×D5911yescharacteristic
1198#95C22×D5911yescharacteristic
1199C24—591no—
1200C24—591no—
1201C24—594no—
1202C24—1182no—
1203C24—1182no—
1204C24—2361no—
1205C24—2361no—
1206C24—2361no—
1207C24—2361no—
1208C24C23×D5911yescharacteristic
1209C24C23×D5911yescharacteristic
1210C24C23×D5911yescharacteristic
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—41no—
1214C2×Q8—1182no—
1215C2×Q8—1182no—
1216C2×Q8—1182no—
1217C2×Q8—1182no—
1218C2×Q8—1182no—
1219C2×Q8—1182no—
1220C2×Q8—1182no—
1221C2×Q8—2361no—
1222C2×Q8—2361no—
1223C2×Q8—2361no—
1224C2×Q8—2361no—
1225C2×Q8—2361no—
1226C2×Q8—23616no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—1182no—
1237C2×D4—1182no—
1238C2×D4—1182no—
1239C2×D4—1182no—
1240C2×D4—1182no—
1241C2×D4—1182no—
1242C2×D4—1182no—
1243C2×D4—1182no—
1244C2×D4—2361no—
1245C2×D4—2361no—
1246C2×D4—2361no—
1247C2×D4—2361no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—591no—
1255C22×C4—591no—
1256C22×C4—591no—
1257C22×C4—594no—
1258C22×C4—594no—
1259C22×C4—591no—
1260C22×C4—591no—
1261C22×C4—591no—
1262C22×C4—591no—
1263C22×C4—591no—
1264C22×C4—591no—
1265C22×C4—591no—
1266C22×C4—591no—
1267C22×C4—591no—
1268C22×C4—591no—
1269C22×C4—591no—
1270C22×C4—1182no—
1271C22×C4—1182no—
1272C22×C4—1182no—
1273C22×C4—1182no—
1274C22×C4—1182no—
1275C22×C4—1182no—
1276C22×C4—1182no—
1277C22×C4—1182no—
1278C22×C4—1182no—
1279C22×C4—1182no—
1280C22×C4—1182no—
1281C22×C4—1182no—
1282C22×C4—1182no—
1283C22×C4—2361no—
1284C22×C4—2361no—
1285C22×C4—2361no—
1286C22×C4—2361no—
1287C22×C4—2361no—
1288C22×C4—2361no—
1289C22×C4—2361no—
1290C22×C4—2361no—
1291C22×C4—2361no—
1292C22×C4—2361no—
1293C22×C4—2361no—
1294C22×C4—2361no—
1295C22×C4—23616no—
1296C22×C4—2361no—
1297C22×C4—2361no—
1298C22×C4—2361no—
1299C22×C4C23×D5911yescharacteristic
1300C22×C4C23×D5911yescharacteristic
1301C22×C4C23×D5911yescharacteristic
1302C22×C4C23×D5911yescharacteristic
1303C22×C4C23×D5911yescharacteristic
1304C22×C4C23×D5911yescharacteristic
1305C22×C4C23×D5911yescharacteristic
1306C22×C4C23×D5911yescharacteristic
1307C22×C4C23×D5911yescharacteristic
1308C22×C4C23×D5911yescharacteristic
1309C22×C4C23×D5911yescharacteristic
1310C22×C4C23×D5911yescharacteristic
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—1182no—
1321C4⋊C4—1182no—
1322C4⋊C4—1182no—
1323C4⋊C4—1182no—
1324C4⋊C4—1182no—
1325C4⋊C4—1182no—
1326C4⋊C4—1182no—
1327C4⋊C4—1182no—
1328C4⋊C4—1182no—
1329C4⋊C4—1182no—
1330C4⋊C4—1182no—
1331C4⋊C4—1182no—
1332C4⋊C4—1182no—
1333C4⋊C4—1182no—
1334C4⋊C4—1182no—
1335C4⋊C4—1182no—
1336C4⋊C4—1182no—
1337C4⋊C4—2361no—
1338C4⋊C4—2361no—
1339C4⋊C4—2361no—
1340C4⋊C4—2361no—
1341C4⋊C4—2361no—
1342C4⋊C4—2361no—
1343C4⋊C4—2361no—
1344C4⋊C4—2361no—
1345C4⋊C4—2361no—
1346C4⋊C4—2361no—
1347C4⋊C4—2361no—
1348C4⋊C4—2361no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—594no—
1362C22⋊C4—594no—
1363C22⋊C4—594no—
1364C22⋊C4—1182no—
1365C22⋊C4—1182no—
1366C22⋊C4—1182no—
1367C22⋊C4—1182no—
1368C22⋊C4—1182no—
1369C22⋊C4—1182no—
1370C22⋊C4—1182no—
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—2361no—
1383C22⋊C4—2361no—
1384C22⋊C4—2361no—
1385C22⋊C4—2361no—
1386C22⋊C4—2361no—
1387C22⋊C4—2361no—
1388C22⋊C4—2361no—
1389C22⋊C4—2361no—
1390C22⋊C4—2361no—
1391C22⋊C4—2361no—
1392C22⋊C4—2361no—
1393C22⋊C4—2361no—
1394C22⋊C4D4×D5914yes—
1395C42—41no—
1396C42—1182no—
1397C42—1182no—
1398C42—2361no—
1399C42—2361no—
1400C42—2361no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—592no—
1422C23—592no—
1423C23—592no—
1424C23—592no—
1425C23—1188no—
1426C23—1181no—
1427C23—1181no—
1428C23—1181no—
1429C23—1181no—
1430C23—1181no—
1431C23—1181no—
1432C23—1181no—
1433C23—1181no—
1434C23—1181no—
1435C23—1181no—
1436C23—2364no—
1437C23—2364no—
1438C23—2364no—
1439C23—2364no—
1440C23—2364no—
1441C23—2364no—
1442C23C2×D4×D5912yes—
1443C23C24×D5911yescharacteristic
1444Q8—44no—
1445Q8—4722no—
1446Q8—2364no—
1447Q8—2364no—
1448Q8—2364no—
1449D4—82no—
1450D4—82no—
1451D4—82no—
1452D4—4722no—
1453D4—4722no—
1454D4—2364no—
1455D4—2364no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—44no—
1490C2×C4—82no—
1491C2×C4—592no—
1492C2×C4—592no—
1493C2×C4—592no—
1494C2×C4—1188no—
1495C2×C4—1181no—
1496C2×C4—1181no—
1497C2×C4—1181no—
1498C2×C4—1181no—
1499C2×C4—1181no—
1500C2×C4—1181no—
1501C2×C4—1181no—
1502C2×C4—1181no—
1503C2×C4—1181no—
1504C2×C4—1181no—
1505C2×C4—1181no—
1506C2×C4—1181no—
1507C2×C4—1181no—
1508C2×C4—1181no—
1509C2×C4—1181no—
1510C2×C4—1181no—
1511C2×C4—1181no—
1512C2×C4—1181no—
1513C2×C4—1181no—
1514C2×C4—1181no—
1515C2×C4—1181no—
1516C2×C4—1181no—
1517C2×C4—1181no—
1518C2×C4—1181no—
1519C2×C4—1181no—
1520C2×C4—1181no—
1521C2×C4—1181no—
1522C2×C4—1181no—
1523C2×C4—1181no—
1524C2×C4—1181no—
1525C2×C4—1181no—
1526C2×C4—1181no—
1527C2×C4—1181no—
1528C2×C4—1181no—
1529C2×C4—1181no—
1530C2×C4—1181no—
1531C2×C4—1181no—
1532C2×C4—1181no—
1533C2×C4—1181no—
1534C2×C4—4722no—
1535C2×C4—2364no—
1536C2×C4—2364no—
1537C2×C4—2364no—
1538C2×C4—2364no—
1539C2×C4—2364no—
1540C2×C4—2364no—
1541C2×C4—2364no—
1542C2×C4—2364no—
1543C2×C4C2×D4×D5912yes—
1544C2×C4C2×D4×D5912yes—
1545C2×C4#1427377212yes—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—594no—
1568C22—1182no—
1569C22—1182no—
1570C22—1182no—
1571C22—1182no—
1572C22—1182no—
1573C22—1182no—
1574C22—1182no—
1575C22—1182no—
1576C22—1182no—
1577C22—23616no—
1578C22—2361no—
1579C22—2361no—
1580C22—2361no—
1581C22—2361no—
1582C22C22×D4×D5911yescharacteristic
1583C22H(5,𝔽2)×D5911yescharacteristic
1584C22C2×#1427377211yescharacteristic
1585C222−1+4×D5911yescharacteristic
1586C222−1+4×D5911yescharacteristic
1587C22#1683823711yescharacteristic
1588C22#1683823811yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—1182no—
1602C4—1182no—
1603C4—1182no—
1604C4—2361no—
1605C4—2361no—
1606C4—2361no—
1607C4—2361no—
1608C4—2361no—
1609C4—2361no—
1610C4—2361no—
1611C4—2361no—
1612C4—2361no—
1613C4—2361no—
1614C4—2361no—
1615C2—42no—
1616C2—81no—
1617C2—81no—
1618C2—1184no—
1619C2—2362no—
1620C2#536×D5911yescharacteristic
1621C2#2143772411yescharacteristic
1622C2#2143773311yescharacteristic
1623C2#2143837711yescharacteristic
1624C2#2143837811yescharacteristic
1625C2#2143837911yescharacteristic
1626C2#2143838011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2672C2
prime radicalC2×#16837984C2
hypercenter#2672D59
hypocenterC59#36705
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2672

Complements

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

NH ≅ G/Ntype
2. C2×C22⋊Q8×D59C2semidirect
3. #21432387C2semidirect
4. #21432385C2semidirect
5. #21430546C2semidirect
6. #21430545C2semidirect
7. #21430544C2semidirect
8. #21430543C2semidirect
9. #21430523C2semidirect
10. #21430521C2semidirect
11. #21430520C2semidirect
12. #21430518C2semidirect
13. #21430384C2semidirect
14. #21430382C2semidirect
15. #21430379C2semidirect
16. #21430377C2semidirect
17. #21430342C2semidirect
18. #21430341C2semidirect
19. #21430340C2semidirect
20. #21429868C2semidirect
21. #21429868C2semidirect
22. #21429570C2semidirect
23. #21429474C2semidirect
24. #21429441C2semidirect
25. #21429438C2semidirect
26. #21428409C2semidirect
27. #21428406C2semidirect
28. #21427751C2semidirect
29. #21427735C2semidirect
30. #21426690C2semidirect
31. C59×#2672C2semidirect
35. C2×#14273726C22semidirect
36. C2×#14273726C22semidirect
40. C2×#14273714C22semidirect
67. #16837343C22semidirect
68. #16837343C22semidirect
69. #16837342C22semidirect
70. #16837342C22semidirect
71. #16837341C22semidirect
72. #16837340C22semidirect
73. #16837338C22semidirect
74. #16837338C22semidirect
75. #16837338C22semidirect
76. #16837336C22semidirect
77. #16837336C22semidirect
78. #16837335C22semidirect
79. #16837335C22semidirect
80. #16837333C22semidirect
81. #16837332C22semidirect
90. #16837325C22semidirect
91. #16837325C22semidirect
92. #16837325C22semidirect
93. #16837323C22semidirect
94. #16837323C22semidirect
95. #16837322C22semidirect
96. #16837322C22semidirect
97. #16837321C22semidirect
104. #16837316C22semidirect
105. #16837314C22semidirect
106. #16837314C22semidirect
107. #16837314C22semidirect
108. #16837314C22semidirect
109. #16837309C22semidirect
110. #16837308C22semidirect
111. #16837306C22semidirect
112. #16837306C22semidirect
113. #16837301C22semidirect
114. #16837300C22semidirect
115. #16837298C22semidirect
116. #16837297C22semidirect
117. #16837297C22semidirect
118. #16837297C22semidirect
119. #16837297C22semidirect
122. #16837295C22semidirect
123. #16837295C22semidirect
129. #16837290C22semidirect
130. #16837290C22semidirect
131. #16837288C22semidirect
132. #16837287C22semidirect
133. #16837284C22semidirect
134. #16837283C22semidirect
147. #16837277C22semidirect
153. #16837275C22semidirect
154. #16837274C22semidirect
165. #16837262C22semidirect
167. #16837260C22semidirect
168. #16837260C22semidirect
174. C2×#124×C59C22semidirect
178. C59×#399C22semidirect
179. C59×#396C22semidirect
180. C59×#395C22semidirect
183. C59×#394C22semidirect
184. C59×#389C22semidirect
187. C59×#385C22semidirect
188. C59×#380C22semidirect
821. #2672D59semidirect
855. C2×#124C2×D59semidirect
893. #399C2×D59semidirect
911. #396C2×D59semidirect
917. #395C2×D59semidirect
927. #394C2×D59semidirect
943. #389C2×D59semidirect
987. #385C2×D59semidirect
997. #380C2×D59semidirect
1002. C59#36705semidirect

Maximal subgroups

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

subgroupindex
C2×#168379842
C2×C22⋊Q8×D592
#214323872
#214323852
#214305462
#214305452
#214305442
#214305432
#214305232
#214305212
#214305202
#214305182
#214303842
#214303822
#214303792
#214303772
#214303422
#214303412
#214303402
#214298682
#214295702
#214294742
#214294412
#214294382
#214284092
#214284062
#214277512
#214277352
#214266902
C59×#26722
#3670559