Finite Group Databasebeta

← #28795519

Subgroups — #28795519

Order 15104.

2630 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837991C211yesmaximal, characteristic, complemented
2C2×#123×D59C211yesmaximal, characteristic, complemented
3#21432382C211yesmaximal, characteristic, complemented
4#21432379C211yesmaximal, characteristic, complemented
5#21430633C211yesmaximal, characteristic, complemented
6#21430631C211yesmaximal, characteristic, complemented
7#21430625C211yesmaximal, characteristic, complemented
8#21430608C211yesmaximal, characteristic, complemented
9#21430606C211yesmaximal, characteristic, complemented
10#21430602C211yesmaximal, characteristic, complemented
11#21430600C211yesmaximal, characteristic, complemented
12#21430349C211yesmaximal, characteristic, complemented
13#21430348C211yesmaximal, characteristic, complemented
14#21430345C211yesmaximal, characteristic, complemented
15#21430344C211yesmaximal, characteristic, complemented
16#21430339C211yesmaximal, characteristic, complemented
17#21430336C211yesmaximal, characteristic, complemented
18#21430335C211yesmaximal, characteristic, complemented
19#21430332C211yesmaximal, characteristic, complemented
20#21429914C211yesmaximal, characteristic, complemented
21#21429839C211yesmaximal, characteristic, complemented
22#21428990C211yesmaximal, characteristic, complemented
23#21428987C211yesmaximal, characteristic, complemented
24#21428411C211yesmaximal, characteristic, complemented
25#21428408C211yesmaximal, characteristic, complemented
26#21427489C211yesmaximal, characteristic, complemented
27#21427485C211yesmaximal, characteristic, complemented
28#21427469C211yesmaximal, characteristic, complemented
29#21427465C211yesmaximal, characteristic, complemented
30#21426707C211yesmaximal, characteristic, complemented
31C59×#2695C211yesmaximal, characteristic, complemented
32C22×D4×D59C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34#16837991—28no—
35C2×#14273722C2211yescharacteristic, complemented
36C2×#14273715C2211yescharacteristic, complemented
37C2×#14273713C2211yescharacteristic, complemented
38C2×#14273712C2211yescharacteristic
39C2×#14273712C2211yescharacteristic
40C2×#14273712C2211yescharacteristic
41C2×#14273712C2211yescharacteristic
42C2×#14273712C2211yescharacteristic, complemented
43C2×#14273711C2211yescharacteristic
44C2×#14273710C2211yescharacteristic
45C2×#14273709C2211yescharacteristic
46C2×#14273709C2211yescharacteristic
47C2×#14273709C2211yescharacteristic, complemented
48C2×#14273708C2211yescharacteristic
49#123×D59—28no—
50C2×#14273705C2211yescharacteristic
51C2×#14273705C2211yescharacteristic, complemented
52C2×#14273704C2211yescharacteristic, complemented
53C2×#14273702C2211yescharacteristic
54C2×#14273702C2211yescharacteristic
55C2×#14273702C2211yescharacteristic, complemented
56C2×#14273702C2211yescharacteristic, complemented
57C2×#14273701C2211yescharacteristic
58C2×#14273701C2211yescharacteristic, complemented
59C2×#14273700C2211yescharacteristic
60C2×#14273700C2211yescharacteristic, complemented
61C2×#14273699C2211yescharacteristic
62C2×#14273697C2211yescharacteristic
63C2×#14273697C2211yescharacteristic
64C2×#14273697C2211yescharacteristic
65C2×#14273697C2211yescharacteristic
66C2×C4×D236C2211yescharacteristic
67C2×#14273689C2211yescharacteristic
68C2×C4⋊C4×D59C2211yescharacteristic
69C2×C4⋊C4×D59C2211yescharacteristic
70C22×(C2×D59)⋊C4C2211yescharacteristic
71C2×C22⋊C4×D59C2211yescharacteristic
72C2×C22⋊C4×D59C2211yescharacteristic
73C2×C22⋊C4×D59C2211yescharacteristic
74C2×C22⋊C4×D59C2211yescharacteristic
75#16837344C2211yescharacteristic, complemented
76#16837344C2211yescharacteristic, complemented
77#16837344C2211yescharacteristic, complemented
78#16837343C2211yescharacteristic, complemented
79#16837341C2211yescharacteristic, complemented
80#16837339C2211yescharacteristic, complemented
81#16837337C2211yescharacteristic, complemented
82#16837337C2211yescharacteristic, complemented
83#16837337C2211yescharacteristic, complemented
84#16837335C2211yescharacteristic, complemented
85#16837335C2211yescharacteristic, complemented
86#16837333C2211yescharacteristic, complemented
87#16837332C2211yescharacteristic, complemented
88#16837331C2211yescharacteristic, complemented
89#16837330C2211yescharacteristic, complemented
90#16837328C2211yescharacteristic, complemented
91#16837326C2211yescharacteristic, complemented
92#16837326C2211yescharacteristic, complemented
93#16837325C2211yescharacteristic, complemented
94#16837324C2211yescharacteristic, complemented
95#16837324C2211yescharacteristic, complemented
96#16837324C2211yescharacteristic, complemented
97#16837324C2211yescharacteristic, complemented
98#16837323C2211yescharacteristic, complemented
99#16837322C2211yescharacteristic, complemented
100#16837320C2211yescharacteristic
101#16837320C2211yescharacteristic, complemented
102#16837320C2211yescharacteristic, complemented
103#16837320C2211yescharacteristic, complemented
104#16837319C2211yescharacteristic, complemented
105#16837319C2211yescharacteristic, complemented
106#16837319C2211yescharacteristic, complemented
107#16837318C2211yescharacteristic
108#16837318C2211yescharacteristic, complemented
109#16837318C2211yescharacteristic, complemented
110#16837317C2211yescharacteristic
111#16837317C2211yescharacteristic, complemented
112#16837317C2211yescharacteristic, complemented
113#16837312C2211yescharacteristic
114#16837311C2211yescharacteristic
115#16837311C2211yescharacteristic
116#16837310C2211yescharacteristic
117#16837300C2211yescharacteristic, complemented
118#16837299C2211yescharacteristic, complemented
119#16837299C2211yescharacteristic, complemented
120#16837296C2211yescharacteristic, complemented
121#16837293C2211yescharacteristic, complemented
122#16837292C2211yescharacteristic, complemented
123#16837281C2211yescharacteristic, complemented
124#16837280C2211yescharacteristic
125#16837280C2211yescharacteristic
126#16837280C2211yescharacteristic
127#16837280C2211yescharacteristic
128#16837280C2211yescharacteristic
129#16837280C2211yescharacteristic, complemented
130#16837280C2211yescharacteristic, complemented
131#16837280C2211yescharacteristic, complemented
132#16837280C2211yescharacteristic, complemented
133#16837280C2211yescharacteristic, complemented
134#16837280C2211yescharacteristic, complemented
135#16837279C2211yescharacteristic
136#16837279C2211yescharacteristic, complemented
137#16837279C2211yescharacteristic, complemented
138#16837279C2211yescharacteristic, complemented
139#16837278C2211yescharacteristic
140#16837278C2211yescharacteristic, complemented
141#16837278C2211yescharacteristic, complemented
142#16837277C2211yescharacteristic, complemented
143#16837276C2211yescharacteristic
144#16837276C2211yescharacteristic
145#16837276C2211yescharacteristic, complemented
146#16837276C2211yescharacteristic, complemented
147#16837276C2211yescharacteristic, complemented
148#16837275C2211yescharacteristic, complemented
149#16837275C2211yescharacteristic, complemented
150#16837274C2211yescharacteristic, complemented
151#16837273C2211yescharacteristic
152#16837273C2211yescharacteristic
153#16837273C2211yescharacteristic, complemented
154#16837273C2211yescharacteristic, complemented
155#16837273C2211yescharacteristic, complemented
156#16837264C2211yescharacteristic
157#16837264C2211yescharacteristic
158#16837261C2211yescharacteristic
159#16837261C2211yescharacteristic
160#16837261C2211yescharacteristic, complemented
161#16837261C2211yescharacteristic, complemented
162#16837261C2211yescharacteristic, complemented
163#16837261C2211yescharacteristic, complemented
164#16837260C2211yescharacteristic, complemented
165#16837260C2211yescharacteristic, complemented
166#16837259C2211yescharacteristic
167#16837259C2211yescharacteristic
168#16837259C2211yescharacteristic, complemented
169#16837259C2211yescharacteristic, complemented
170#16837259C2211yescharacteristic, complemented
171#16837259C2211yescharacteristic, complemented
172#16837257C2211yescharacteristic
173#16837257C2211yescharacteristic
174C2×#126×C59C2211yescharacteristic, complemented
175C2×#123×C59C2211yescharacteristic
176C59×#400C2211yescharacteristic, complemented
177C59×#398C2211yescharacteristic, complemented
178C59×#398C2211yescharacteristic, complemented
179C59×#397C2211yescharacteristic, complemented
180C59×#396C2211yescharacteristic, complemented
181C59×#394C2211yescharacteristic
182C59×#389C2211yescharacteristic, complemented
183C59×#388C2211yescharacteristic, complemented
184C59×#386C2211yescharacteristic
185C59×#385C2211yescharacteristic, complemented
186C59×#385C2211yescharacteristic, complemented
187C59×#380C2211yescharacteristic, complemented
188C59×#380C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C24×D59C2311yescharacteristic
191C22×Dic118C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×D236C2311yescharacteristic
198C22×D236C2311yescharacteristic
199C22×D236C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C22×C22⋊D59C2311yescharacteristic
205C22×C22⋊D59C2311yescharacteristic
206C2×D4×D59—24no—
207C2×D4×D59—42no—
208C2×D4×D59—42no—
209C23×Dic59C2311yescharacteristic
210C23×Dic59C2311yescharacteristic
211C22×C4×D59—24no—
212C22×C4×D59—42no—
213C22×C4×D59—42no—
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#14273715—24no—
227#14273713—24no—
228#14273712—24no—
229#14273712—24no—
230#14273712—24no—
231#14273712—42no—
232#14273712—42no—
233#14273711—24no—
234#14273710—24no—
235#14273709—24no—
236#14273709—24no—
237#14273709—24no—
238#14273708—24no—
239#14273705—24no—
240#14273705—42no—
241#14273704—42no—
242#14273702—24no—
243#14273702—24no—
244#14273702—42no—
245#14273702—42no—
246#14273701—42no—
247#14273701—42no—
248#14273700—24no—
249#14273700—42no—
250#14273699—42no—
251#14273697—24no—
252#14273697—24no—
253#14273697—42no—
254#14273697—42no—
255C4×D236—24no—
256#14273689—24no—
257C2×C4⋊Dic59C2311yescharacteristic
258C2×C4⋊Dic59C2311yescharacteristic
259C2×C4⋊Dic59C2311yescharacteristic
260C2×C4⋊Dic59C2311yescharacteristic
261C2×C4⋊Dic59C2311yescharacteristic
262C2×C4⋊Dic59C2311yescharacteristic
263C2×C4⋊Dic59C2311yescharacteristic
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
274C2×Dic59⋊C4C2311yescharacteristic
275C2×Dic59⋊C4C2311yescharacteristic
276C2×Dic59⋊C4C2311yescharacteristic
277C2×Dic59⋊C4C2311yescharacteristic
278C2×Dic59⋊C4C2311yescharacteristic
279C2×Dic59⋊C4C2311yescharacteristic
280C4⋊C4×D59—24no—
281C4⋊C4×D59—24no—
282C2×C22⋊Dic59C2311yescharacteristic
283C2×C22⋊Dic59C2311yescharacteristic
284C2×C22⋊Dic59C2311yescharacteristic
285C2×C22⋊Dic59C2311yescharacteristic
286C2×C22⋊Dic59C2311yescharacteristic
287C2×C22⋊Dic59C2311yescharacteristic
288C2×(C2×D59)⋊C4—42no—
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
322C2×(C2×D59)⋊C4C2311yescharacteristic
323C2×(C2×D59)⋊C4C2311yescharacteristic
324C2×(C2×D59)⋊C4C2311yescharacteristic
325C2×(C2×D59)⋊C4C2311yescharacteristic
326C2×(C2×D59)⋊C4C2311yescharacteristic
327C22⋊C4×D59—24no—
328C22⋊C4×D59—24no—
329C22⋊C4×D59—42no—
330C22⋊C4×D59D418yescomplemented
331C2×C4×Dic59C2311yescharacteristic
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
354C22×D4×C59C2311yescharacteristic
355C23×C4×C59C2311yescharacteristic
356C23×C4×C59C2311yescharacteristic
357#126×C59—24no—
358#123×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×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×C22⋊C4×C59C2311yescharacteristic
379C2×C22⋊C4×C59C2311yescharacteristic
380C2×C42×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
392C24×C59C2411yescharacteristic
393C23×D59—22no—
394C23×D59—22no—
395C23×D59—22no—
396C23×D59—22no—
397C23×D59—22no—
398C23×D59—22no—
399C23×D59—22no—
400C23×D59—41no—
401C23×D59—41no—
402C23×D59—41no—
403C23×D59—41no—
404C23×D59—41no—
405C23×D59—41no—
406C23×D59C2×D414yes—
407C23×D59C2411yescharacteristic
408C23×D59C2411yescharacteristic
409C23×D59C2411yescharacteristic
410C23×D59C2411yescharacteristic
411C23×D59C2411yescharacteristic
412C2×D4×C59—22no—
413C2×D4×C59—22no—
414C2×D4×C59—41no—
415C22×C4×C59—22no—
416C22×C4×C59—22no—
417C22×C4×C59—41no—
418C22×C4×C59—41no—
419C22×C4×C59—41no—
420C22×C4×C59—41no—
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—
437C2×C22⋊D59—22no—
438C2×C22⋊D59—22no—
439C2×C22⋊D59—22no—
440C2×C22⋊D59—22no—
441C2×C22⋊D59—22no—
442C2×C22⋊D59—41no—
443C2×C22⋊D59—41no—
444C2×C22⋊D59—41no—
445C2×C22⋊D59—41no—
446C2×C22⋊D59—41no—
447C2×C22⋊D59—41no—
448C2×C22⋊D59—41no—
449C2×C22⋊D59—41no—
450C2×C22⋊D59—41no—
451C2×C22⋊D59—41no—
452C22×Dic59—22no—
453C22×Dic59—22no—
454C22×Dic59—41no—
455C22×Dic59—41no—
456C22×Dic59—41no—
457C22×Dic59—41no—
458C22×Dic59C2411yescharacteristic
459C22×Dic59C2411yescharacteristic
460C22×Dic59C2411yescharacteristic
461C22×Dic59C2411yescharacteristic
462C22×Dic59C2411yescharacteristic
463C22×Dic59C2411yescharacteristic
464C22×Dic59C2411yescharacteristic
465C22×Dic59C2411yescharacteristic
466C22×Dic59C2411yescharacteristic
467C22×Dic59C2411yescharacteristic
468C22×Dic59C2411yescharacteristic
469D4×D59—416no—
470C2×D236—22no—
471C2×D236—22no—
472C2×D236—22no—
473C2×D236—22no—
474C2×D236—22no—
475C2×D236—22no—
476C2×D236—22no—
477C2×D236—22no—
478C2×D236—22no—
479C2×D236—22no—
480C2×D236—22no—
481C2×D236—22no—
482C2×D236—22no—
483C2×D236—41no—
484C2×D236—41no—
485C2×D236—41no—
486C2×D236—41no—
487C2×D236—41no—
488C2×D236—41no—
489C2×D236—41no—
490C2×D236—41no—
491C2×D236—41no—
492C2×D236—41no—
493C2×D236—41no—
494C2×C4×D59—22no—
495C2×C4×D59—22no—
496C2×C4×D59—22no—
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—41no—
506C2×C4×D59—41no—
507C2×C4×D59—41no—
508C2×C4×D59—41no—
509C2×C4×D59—41no—
510C2×C4×D59—41no—
511C2×C4×D59—41no—
512C2×C4×D59—41no—
513C2×C4×D59—41no—
514C2×C4×D59—41no—
515C2×C4×D59—416no—
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×Dic118—22no—
529C2×Dic118—41no—
530C2×Dic118—41no—
531C4⋊C4×C59—22no—
532C4⋊C4×C59—22no—
533C4⋊C4×C59—22no—
534C4⋊C4×C59—22no—
535C4⋊C4×C59—22no—
536C4⋊C4×C59—41no—
537C4⋊C4×C59—41no—
538C4⋊C4×C59—41no—
539C4⋊C4×C59—41no—
540C4⋊C4×C59—41no—
541C4⋊C4×C59—41no—
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×C59C2×D414yes—
552C42×C59—22no—
553C22⋊Dic59—22no—
554C22⋊Dic59—22no—
555C22⋊Dic59—22no—
556C22⋊Dic59—41no—
557C22⋊Dic59—41no—
558C22⋊Dic59C2×D414yes—
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—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—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)⋊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—41no—
601C4⋊Dic59—41no—
602C4⋊Dic59—41no—
603C4⋊Dic59—41no—
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—
614Dic59⋊C4—41no—
615Dic59⋊C4—41no—
616Dic59⋊C4—41no—
617Dic59⋊C4—41no—
618Dic59⋊C4—41no—
619Dic59⋊C4—41no—
620C4×Dic59—22no—
621C23×C59—21no—
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×C59C22×D412yes—
634C23×C59H(5,𝔽2)12yes—
635C23×C59C2511yescharacteristic
636C22×D59—21no—
637C22×D59—21no—
638C22×D59—21no—
639C22×D59—21no—
640C22×D59—28no—
641C22×D59—21no—
642C22×D59—21no—
643C22×D59—21no—
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—28no—
654C22×D59—21no—
655C22×D59—21no—
656C22×D59—21no—
657C22×D59—21no—
658C22×D59—21no—
659C22×D59—21no—
660C22×D59—21no—
661C22×D59—21no—
662C22×D59—21no—
663C22×D59—21no—
664C22×D59—21no—
665C22×D59—21no—
666C22×D59—21no—
667C22×D59—21no—
668C22×D59—44no—
669C22×D59—44no—
670C22×D59—44no—
671C22×D59—44no—
672C22×D59—44no—
673C22×D59—44no—
674C22×D59—44no—
675C22×D59—44no—
676C22×D59—82no—
677C22×D59—82no—
678C22×D59—82no—
679C22×D59—82no—
680C22×D59C22×D412yes—
681C22×D59C22×D412yes—
682C22×D59H(5,𝔽2)12yes—
683C22×D59H(5,𝔽2)12yes—
684C22×D592−1+412yes—
685D4×C59—44no—
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—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—21no—
722C2×C4×C59—21no—
723C2×C4×C59—44no—
724C2×C4×C59—82no—
725C2×C4×C59C22×D412yes—
726C2×C4×C59C22×D412yes—
727C22⋊D59—44no—
728C22⋊D59—44no—
729C22⋊D59—82no—
730C22⋊D59—82no—
731C22⋊D59—82no—
732C22⋊D59—82no—
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—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—44no—
765C2×Dic59—82no—
766C2×Dic59C22×D412yes—
767C2×Dic59C22×D412yes—
768D236—44no—
769D236—44no—
770D236—44no—
771D236—82no—
772D236—82no—
773D236—82no—
774D236—82no—
775D236—82no—
776C4×D59—44no—
777C4×D59—44no—
778C4×D59—44no—
779C4×D59—44no—
780C4×D59—44no—
781C4×D59—44no—
782C4×D59—44no—
783C4×D59—82no—
784C4×D59—82no—
785C4×D59—82no—
786C4×D59—82no—
787Dic118—82no—
788#36709—591nomaximal, Sylow
789C22×C59—22no—
790C22×C59—22no—
791C22×C59—22no—
792C22×C59—22no—
793C22×C59—22no—
794C22×C59—22no—
795C22×C59—41no—
796C22×C59—41no—
797C22×C59—41no—
798C22×C59—41no—
799C22×C59—41no—
800C22×C59—41no—
801C22×C59—41no—
802C22×C59—41no—
803C22×C59C23×D411yescharacteristic
804C22×C59C2×H(5,𝔽2)11yescharacteristic
805C22×C59C2×H(5,𝔽2)11yescharacteristic
806C22×C59C2×H(5,𝔽2)11yescharacteristic
807C22×C59C2×2−1+411yescharacteristic
808C22×C59#58511yescharacteristic
809C22×C59#58511yescharacteristic
810C2×D59—22no—
811C2×D59—22no—
812C2×D59—22no—
813C2×D59—22no—
814C2×D59—22no—
815C2×D59—22no—
816C2×D59—22no—
817C2×D59—22no—
818C2×D59—22no—
819C2×D59—22no—
820C2×D59—22no—
821C2×D59—22no—
822C2×D59—416no—
823C2×D59—41no—
824C2×D59—41no—
825C2×D59—41no—
826C2×D59—41no—
827C2×D59—41no—
828C2×D59—41no—
829C2×D59—41no—
830C2×D59—41no—
831C2×D59—41no—
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—88no—
846C2×D59#53714yes—
847C4×C59—22no—
848C4×C59—22no—
849C4×C59—41no—
850C4×C59—41no—
851C4×C59—41no—
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—41no—
863Dic59—41no—
864Dic59—41no—
865Dic59—41no—
866Dic59—41no—
867Dic59—41no—
868Dic59—41no—
869Dic59—41no—
870Dic59—41no—
871C2×#538—591no—
872C22×#123—591no—
873#2848—591no—
874#2847—591no—
875#2695—591no—
876#2695—591no—
877#2695—591no—
878#2695D5911yescharacteristic, complemented
879#2693—591no—
880#2693—591no—
881#2693—591no—
882#2693—591no—
883#2672—591no—
884#2672—591no—
885#2672—591no—
886#2672—591no—
887#2671—591no—
888#2671—591no—
889#2671—591no—
890#2671—591no—
891#2627—591no—
892#2618—591no—
893#2534—591no—
894#2534—591no—
895#2487—591no—
896#2487—591no—
897#2412—591no—
898#2412—591no—
899#2410—591no—
900#2410—591no—
901#2315—591no—
902C2×C59—42no—
903C2×C59—42no—
904C2×C59C2×#53711yescharacteristic
905C2×C59#348411yescharacteristic
906C2×C59#348511yescharacteristic
907C2×C59#353411yescharacteristic
908C2×C59#353411yescharacteristic
909C2×C59#353511yescharacteristic
910C2×C59#353511yescharacteristic
911D59—24no—
912D59—42no—
913D59—42no—
914D59—81no—
915D59—81no—
916C23×D4—591no—
917C24×C4—591no—
918#538—1188no—
919C2×#126—591no—
920C2×#126C2×D5911yescharacteristic, complemented
921C2×#124—591no—
922C2×#124—591no—
923C2×#123—591no—
924C2×#123—591no—
925C2×#123—591no—
926C2×#123—591no—
927C2×#123—591no—
928C2×#123—591no—
929C2×#123—591no—
930C2×#123—591no—
931C2×#123—591no—
932C2×#123—591no—
933C2×#123—591no—
934C2×#123—1188no—
935C2×#123C2×D5911yescharacteristic
936C2×C22⋊Q8—591no—
937C2×C22⋊Q8—591no—
938C2×C22⋊Q8—591no—
939C2×#121—591no—
940C2×#121—591no—
941C2×#121—591no—
942C2×#121—591no—
943C2×#121—591no—
944C2×#121—591no—
945C2×#121—591no—
946C2×#121—591no—
947C2×#121—591no—
948C2×#120—591no—
949C2×#120—591no—
950C2×#120—591no—
951C2×#120—591no—
952C2×C4×D4—591no—
953C2×C4×D4—591no—
954C22×C4⋊C4—591no—
955C22×C4⋊C4—591no—
956C22×C22⋊C4—591no—
957C22×C22⋊C4—591no—
958C22×C22⋊C4—591no—
959C22×C22⋊C4—591no—
960C22×C22⋊C4—591no—
961#400—591no—
962#400—591no—
963#400—591no—
964#400—591no—
965#400—591no—
966#400C2×D5911yescharacteristic, complemented
967#399—591no—
968#399—591no—
969#399—591no—
970#399—591no—
971#398—591no—
972#398—591no—
973#398—591no—
974#398—591no—
975#398C2×D5911yescharacteristic, complemented
976#398C2×D5911yescharacteristic, complemented
977#397—591no—
978#397—591no—
979#397—591no—
980#397C2×D5911yescharacteristic, complemented
981#396—591no—
982#396—591no—
983#396—591no—
984#396—591no—
985#396—591no—
986#396—591no—
987#396—591no—
988#396C2×D5911yescharacteristic, complemented
989#395—591no—
990#395—591no—
991#394—591no—
992#394—591no—
993#394—591no—
994#394—591no—
995#394—591no—
996#394—591no—
997#394—591no—
998#394—591no—
999#394—591no—
1000#394—591no—
1001#394—591no—
1002#394—591no—
1003#394—591no—
1004#394C2×D5911yescharacteristic
1005#392—591no—
1006#392—591no—
1007#392—591no—
1008#392—591no—
1009#389—591no—
1010#389—591no—
1011#389—591no—
1012#389C2×D5911yescharacteristic, complemented
1013#388—591no—
1014#388—591no—
1015#388—591no—
1016#388C2×D5911yescharacteristic, complemented
1017#386—591no—
1018#386—591no—
1019#386—591no—
1020#386—591no—
1021#386—591no—
1022#386—591no—
1023#386—591no—
1024#386—591no—
1025#386—591no—
1026#386—591no—
1027#386—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#386C2×D5911yescharacteristic
1037#385—591no—
1038#385—591no—
1039#385—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#385C2×D5911yescharacteristic, complemented
1052#385C2×D5911yescharacteristic, complemented
1053#381—591no—
1054#381—591no—
1055#380—591no—
1056#380—591no—
1057#380—591no—
1058#380—591no—
1059#380—591no—
1060#380—591no—
1061#380—591no—
1062#380—591no—
1063#380—591no—
1064#380—591no—
1065#380—591no—
1066#380—591no—
1067#380—591no—
1068#380—591no—
1069#380C2×D5911yescharacteristic, complemented
1070#380C2×D5911yescharacteristic, complemented
1071#379—591no—
1072#379—591no—
1073C59#3670911yescharacteristic, complemented, Sylow
1074C25—591no—
1075C25—591no—
1076C22×Q8—591no—
1077C22×D4—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—591no—
1091C22×D4—1184no—
1092C22×D4—2362no—
1093C22×D4—2362no—
1094C22×D4C22×D5911yescharacteristic
1095C23×C4—591no—
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—2362no—
1110C23×C4—2362no—
1111C23×C4C22×D5911yescharacteristic
1112C23×C4C22×D5911yescharacteristic
1113#126—24no—
1114#126—1184no—
1115#124—1184no—
1116#124—1184no—
1117#123—24no—
1118#123—1184no—
1119#123—1184no—
1120#123—1184no—
1121#123—1184no—
1122#123—1184no—
1123#123—1184no—
1124#123—1184no—
1125#123—1184no—
1126#123—1184no—
1127#123—2362no—
1128#123—2362no—
1129C22⋊Q8—1184no—
1130C22⋊Q8—2362no—
1131C22⋊Q8—2362no—
1132#121—1184no—
1133#121—1184no—
1134#121—1184no—
1135#121—2362no—
1136#121—2362no—
1137#121—2362no—
1138#121—2362no—
1139#121—2362no—
1140#121—2362no—
1141#120—1184no—
1142#120—1184no—
1143#120—2362no—
1144#120—2362no—
1145C4×D4—1184no—
1146C4×D4—1184no—
1147C2×C4⋊C4—591no—
1148C2×C4⋊C4—591no—
1149C2×C4⋊C4—591no—
1150C2×C4⋊C4—591no—
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—591no—
1169C2×C4⋊C4—591no—
1170C2×C4⋊C4—1184no—
1171C2×C4⋊C4—1184no—
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×C4⋊C4C22×D5911yescharacteristic
1179C2×C4⋊C4C22×D5911yescharacteristic
1180C2×C4⋊C4C22×D5911yescharacteristic
1181C2×C4⋊C4C22×D5911yescharacteristic
1182C2×C4⋊C4C22×D5911yescharacteristic
1183C2×C22⋊C4—591no—
1184C2×C22⋊C4—591no—
1185C2×C22⋊C4—591no—
1186C2×C22⋊C4—598no—
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—591no—
1222C2×C22⋊C4—591no—
1223C2×C22⋊C4—591no—
1224C2×C22⋊C4—591no—
1225C2×C22⋊C4—591no—
1226C2×C22⋊C4—591no—
1227C2×C22⋊C4—591no—
1228C2×C22⋊C4—1184no—
1229C2×C22⋊C4—1184no—
1230C2×C22⋊C4—2362no—
1231C2×C22⋊C4—2362no—
1232C2×C22⋊C4C22×D5911yescharacteristic
1233C2×C22⋊C4C22×D5911yescharacteristic
1234C2×C22⋊C4C22×D5911yescharacteristic
1235C2×C22⋊C4C22×D5911yescharacteristic
1236C2×C22⋊C4C22×D5911yescharacteristic
1237C2×C22⋊C4C22×D5911yescharacteristic
1238C2×C22⋊C4C22×D5911yescharacteristic
1239C2×C22⋊C4C22×D5911yescharacteristic
1240C2×C22⋊C4C22×D5911yescharacteristic
1241C2×C22⋊C4C22×D5911yescharacteristic
1242C2×C42—591no—
1243C2×C42C22×D5911yescharacteristic
1244#95—591no—
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#95C22×D5911yescharacteristic
1267#95C22×D5911yescharacteristic
1268#95C22×D5911yescharacteristic
1269#95C22×D5911yescharacteristic
1270#95C22×D5911yescharacteristic
1271#95C22×D5911yescharacteristic
1272#95C22×D5911yescharacteristic
1273#95C22×D5911yescharacteristic
1274#95C22×D5911yescharacteristic
1275#95C22×D5911yescharacteristic
1276C24—591no—
1277C24—591no—
1278C24—591no—
1279C24—594no—
1280C24—591no—
1281C24—591no—
1282C24—1182no—
1283C24—1182no—
1284C24—1182no—
1285C24—1182no—
1286C24—1182no—
1287C24—1182no—
1288C24—1182no—
1289C24—2361no—
1290C24—2361no—
1291C24—2361no—
1292C24—2361no—
1293C24—2361no—
1294C24—2361no—
1295C24C23×D5911yescharacteristic
1296C24C23×D5911yescharacteristic
1297C2×Q8—1182no—
1298C2×Q8—2361no—
1299C2×Q8—2361no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—41no—
1303C2×D4—1182no—
1304C2×D4—1182no—
1305C2×D4—1182no—
1306C2×D4—1182no—
1307C2×D4—1182no—
1308C2×D4—1182no—
1309C2×D4—1182no—
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—1182no—
1321C2×D4—1182no—
1322C2×D4—1182no—
1323C2×D4—1182no—
1324C2×D4—2361no—
1325C2×D4—2361no—
1326C2×D4—2361no—
1327C2×D4—2361no—
1328C2×D4—2361no—
1329C2×D4—2361no—
1330C2×D4—2361no—
1331C2×D4—2361no—
1332C2×D4—2361no—
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—23616no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—591no—
1353C22×C4—591no—
1354C22×C4—594no—
1355C22×C4—594no—
1356C22×C4—591no—
1357C22×C4—591no—
1358C22×C4—591no—
1359C22×C4—591no—
1360C22×C4—591no—
1361C22×C4—591no—
1362C22×C4—591no—
1363C22×C4—591no—
1364C22×C4—591no—
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—2361no—
1379C22×C4—2361no—
1380C22×C4—2361no—
1381C22×C4—2361no—
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×C4—2361no—
1395C22×C4—2361no—
1396C22×C4—2361no—
1397C22×C4—2361no—
1398C22×C4—23616no—
1399C22×C4—2361no—
1400C22×C4—2361no—
1401C22×C4—2361no—
1402C22×C4—2361no—
1403C22×C4C23×D5911yescharacteristic
1404C22×C4C23×D5911yescharacteristic
1405C22×C4C23×D5911yescharacteristic
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
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—41no—
1422C4⋊C4—41no—
1423C4⋊C4—41no—
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—2361no—
1437C4⋊C4—2361no—
1438C4⋊C4—2361no—
1439C4⋊C4—2361no—
1440C4⋊C4—2361no—
1441C4⋊C4—2361no—
1442C4⋊C4—2361no—
1443C4⋊C4—2361no—
1444C4⋊C4—2361no—
1445C4⋊C4—2361no—
1446C4⋊C4—2361no—
1447C4⋊C4—2361no—
1448C4⋊C4—2361no—
1449C4⋊C4—2361no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—22no—
1453C22⋊C4—22no—
1454C22⋊C4—22no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—594no—
1460C22⋊C4—594no—
1461C22⋊C4—594no—
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—1182no—
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⋊C4—2361no—
1498C22⋊C4—2361no—
1499C22⋊C4—2361no—
1500C22⋊C4—2361no—
1501C22⋊C4—2361no—
1502C22⋊C4—2361no—
1503C22⋊C4D4×D5914yes—
1504C42—22no—
1505C42—1182no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—592no—
1519C23—592no—
1520C23—592no—
1521C23—592no—
1522C23—592no—
1523C23—1188no—
1524C23—1188no—
1525C23—1181no—
1526C23—1181no—
1527C23—1181no—
1528C23—1181no—
1529C23—1181no—
1530C23—1181no—
1531C23—1181no—
1532C23—1181no—
1533C23—1181no—
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—4722no—
1556C23—4722no—
1557C23—4722no—
1558C23—4722no—
1559C23—2364no—
1560C23—2364no—
1561C23—2364no—
1562C23—2364no—
1563C23—2364no—
1564C23—2364no—
1565C23—2364no—
1566C23—2364no—
1567C23C2×D4×D5912yes—
1568C23#1427377312yes—
1569C23C24×D5911yescharacteristic
1570Q8—4722no—
1571D4—44no—
1572D4—4722no—
1573D4—4722no—
1574D4—4722no—
1575D4—4722no—
1576D4—4722no—
1577D4—4722no—
1578D4—4722no—
1579D4—4722no—
1580D4—4722no—
1581D4—2364no—
1582D4—2364no—
1583D4—2364no—
1584D4—2364no—
1585D4—2364no—
1586C2×C4—21no—
1587C2×C4—21no—
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—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—44no—
1624C2×C4—82no—
1625C2×C4—592no—
1626C2×C4—592no—
1627C2×C4—1181no—
1628C2×C4—1181no—
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—4722no—
1659C2×C4—4722no—
1660C2×C4—4722no—
1661C2×C4—4722no—
1662C2×C4—4722no—
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—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—594no—
1688C22—1182no—
1689C22—1182no—
1690C22—1182no—
1691C22—1182no—
1692C22—1182no—
1693C22—1182no—
1694C22—1182no—
1695C22—1182no—
1696C22—1182no—
1697C22—1182no—
1698C22—1182no—
1699C22—1182no—
1700C22—4728no—
1701C22—23616no—
1702C22—2361no—
1703C22—2361no—
1704C22—2361no—
1705C22—2361no—
1706C22—2361no—
1707C22—2361no—
1708C22—2361no—
1709C22—2361no—
1710C22—2361no—
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—
1724C22C22×D4×D5911yescharacteristic
1725C22H(5,𝔽2)×D5911yescharacteristic
1726C22H(5,𝔽2)×D5911yescharacteristic
1727C22C2×#1427377311yescharacteristic
1728C222−1+4×D5911yescharacteristic
1729C22#1683823811yescharacteristic
1730C22#1683823911yescharacteristic
1731C4—22no—
1732C4—22no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—1182no—
1745C4—1182no—
1746C4—2361no—
1747C4—2361no—
1748C4—2361no—
1749C4—2361no—
1750C4—2361no—
1751C4—2361no—
1752C4—2361no—
1753C4—2361no—
1754C4—2361no—
1755C2—42no—
1756C2—42no—
1757C2—1184no—
1758C2—4721no—
1759C2—4721no—
1760C2—2362no—
1761C2—2362no—
1762C2#537×D5911yescharacteristic
1763C2#2143772611yescharacteristic
1764C2#2143773511yescharacteristic
1765C2#2143828411yescharacteristic
1766C2#2143828511yescharacteristic
1767C2#2143830711yescharacteristic
1768C2#2143830811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2695C2
hypercenter#2695D59
hypocenterC59#36709
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2695

Complements

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

NH ≅ G/Ntype
1. C2×#16837991C2semidirect
2. C2×#123×D59C2semidirect
3. #21432382C2semidirect
4. #21432379C2semidirect
5. #21430633C2semidirect
6. #21430631C2semidirect
7. #21430625C2semidirect
8. #21430608C2semidirect
9. #21430606C2semidirect
10. #21430602C2semidirect
11. #21430600C2semidirect
12. #21430349C2semidirect
13. #21430348C2semidirect
14. #21430345C2semidirect
15. #21430344C2semidirect
16. #21430339C2semidirect
17. #21430336C2semidirect
18. #21430335C2semidirect
19. #21430332C2semidirect
20. #21429914C2semidirect
21. #21429839C2semidirect
22. #21428990C2semidirect
23. #21428987C2semidirect
24. #21428411C2semidirect
25. #21428408C2semidirect
26. #21427489C2semidirect
27. #21427485C2semidirect
28. #21427469C2semidirect
29. #21427465C2semidirect
30. #21426707C2semidirect
31. C59×#2695C2semidirect
35. C2×#14273722C22semidirect
36. C2×#14273715C22semidirect
37. C2×#14273713C22semidirect
42. C2×#14273712C22semidirect
47. C2×#14273709C22semidirect
51. C2×#14273705C22semidirect
52. C2×#14273704C22semidirect
55. C2×#14273702C22semidirect
56. C2×#14273702C22semidirect
58. C2×#14273701C22semidirect
60. C2×#14273700C22semidirect
75. #16837344C22semidirect
76. #16837344C22semidirect
77. #16837344C22semidirect
78. #16837343C22semidirect
79. #16837341C22semidirect
80. #16837339C22semidirect
81. #16837337C22semidirect
82. #16837337C22semidirect
83. #16837337C22semidirect
84. #16837335C22semidirect
85. #16837335C22semidirect
86. #16837333C22semidirect
87. #16837332C22semidirect
88. #16837331C22semidirect
89. #16837330C22semidirect
90. #16837328C22semidirect
91. #16837326C22semidirect
92. #16837326C22semidirect
93. #16837325C22semidirect
94. #16837324C22semidirect
95. #16837324C22semidirect
96. #16837324C22semidirect
97. #16837324C22semidirect
98. #16837323C22semidirect
99. #16837322C22semidirect
101. #16837320C22semidirect
102. #16837320C22semidirect
103. #16837320C22semidirect
104. #16837319C22semidirect
105. #16837319C22semidirect
106. #16837319C22semidirect
108. #16837318C22semidirect
109. #16837318C22semidirect
111. #16837317C22semidirect
112. #16837317C22semidirect
117. #16837300C22semidirect
118. #16837299C22semidirect
119. #16837299C22semidirect
120. #16837296C22semidirect
121. #16837293C22semidirect
122. #16837292C22semidirect
123. #16837281C22semidirect
129. #16837280C22semidirect
130. #16837280C22semidirect
131. #16837280C22semidirect
132. #16837280C22semidirect
133. #16837280C22semidirect
134. #16837280C22semidirect
136. #16837279C22semidirect
137. #16837279C22semidirect
138. #16837279C22semidirect
140. #16837278C22semidirect
141. #16837278C22semidirect
142. #16837277C22semidirect
145. #16837276C22semidirect
146. #16837276C22semidirect
147. #16837276C22semidirect
148. #16837275C22semidirect
149. #16837275C22semidirect
150. #16837274C22semidirect
153. #16837273C22semidirect
154. #16837273C22semidirect
155. #16837273C22semidirect
160. #16837261C22semidirect
161. #16837261C22semidirect
162. #16837261C22semidirect
163. #16837261C22semidirect
164. #16837260C22semidirect
165. #16837260C22semidirect
168. #16837259C22semidirect
169. #16837259C22semidirect
170. #16837259C22semidirect
171. #16837259C22semidirect
174. C2×#126×C59C22semidirect
176. C59×#400C22semidirect
177. C59×#398C22semidirect
178. C59×#398C22semidirect
179. C59×#397C22semidirect
180. C59×#396C22semidirect
182. C59×#389C22semidirect
183. C59×#388C22semidirect
185. C59×#385C22semidirect
186. C59×#385C22semidirect
187. C59×#380C22semidirect
188. C59×#380C22semidirect
330. C22⋊C4×D59D4semidirect
878. #2695D59semidirect
920. C2×#126C2×D59semidirect
966. #400C2×D59semidirect
975. #398C2×D59semidirect
976. #398C2×D59semidirect
980. #397C2×D59semidirect
988. #396C2×D59semidirect
1012. #389C2×D59semidirect
1016. #388C2×D59semidirect
1051. #385C2×D59semidirect
1052. #385C2×D59semidirect
1069. #380C2×D59semidirect
1070. #380C2×D59semidirect
1073. C59#36709semidirect

Maximal subgroups

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

subgroupindex
C2×#168379912
C2×#123×D592
#214323822
#214323792
#214306332
#214306312
#214306252
#214306082
#214306062
#214306022
#214306002
#214303492
#214303482
#214303452
#214303442
#214303392
#214303362
#214303352
#214303322
#214299142
#214298392
#214289902
#214289872
#214284112
#214284082
#214274892
#214274852
#214274692
#214274652
#214267072
C59×#26952
#3670959