Finite Group Databasebeta

← #28761353

Subgroups — #28761353

Order 15104.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837991C211yesmaximal, characteristic, complemented
2C2×C4×D4×D59C211yesmaximal, characteristic, complemented
3#21432414C211yesmaximal, characteristic, complemented
4#21432394C211yesmaximal, characteristic, complemented
5#21432387C211yesmaximal, characteristic, complemented
6#21432379C211yesmaximal, characteristic, complemented
7#21429992C211yesmaximal, characteristic, complemented
8#21429986C211yesmaximal, characteristic, complemented
9#21429947C211yesmaximal, characteristic, complemented
10#21429940C211yesmaximal, characteristic, complemented
11#21428353C211yesmaximal, characteristic, complemented
12#21428226C211yesmaximal, characteristic, complemented
13#21428033C211yesmaximal, characteristic, complemented
14#21427990C211yesmaximal, characteristic, complemented
15#21427982C211yesmaximal, characteristic, complemented
16#21427927C211yesmaximal, characteristic, complemented
17#21427851C211yesmaximal, characteristic, complemented
18#21427836C211yesmaximal, characteristic, complemented
19#21427763C211yesmaximal, characteristic, complemented
20#21427639C211yesmaximal, characteristic, complemented
21#21427631C211yesmaximal, characteristic, complemented
22#21427563C211yesmaximal, characteristic, complemented
23#21427465C211yesmaximal, characteristic, complemented
24#21427465C211yesmaximal, characteristic, complemented
25#21427405C211yesmaximal, characteristic, complemented
26#21426800C211yesmaximal, characteristic, complemented
27#21426755C211yesmaximal, characteristic, complemented
28#21426728C211yesmaximal, characteristic, complemented
29C4×#14273697C211yesmaximal, characteristic, complemented
30#386×D59C211yesmaximal, characteristic, complemented
31C59×#2467C211yesmaximal, characteristic, complemented
32C22×D4×D59C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34C23×C4×D59C2211yescharacteristic
35C23×C4×D59C2211yescharacteristic, complemented
36#16837991—28no—
37C2×#14273722C2211yescharacteristic, complemented
38C2×#14273715C2211yescharacteristic, complemented
39C2×#14273713C2211yescharacteristic, complemented
40C2×#14273712C2211yescharacteristic, complemented
41C2×#14273709C2211yescharacteristic, complemented
42C2×#14273709C2211yescharacteristic, complemented
43C2×#14273705C2211yescharacteristic, complemented
44C2×#14273705C2211yescharacteristic, complemented
45C2×#14273702C2211yescharacteristic
46C2×#14273702C2211yescharacteristic
47C2×#14273702C2211yescharacteristic, complemented
48C2×#14273701C2211yescharacteristic, complemented
49C2×#14273700C2211yescharacteristic
50C2×#14273700C2211yescharacteristic
51C2×#14273700C2211yescharacteristic, complemented
52C2×#14273697C2211yescharacteristic
53C2×#14273697C2211yescharacteristic
54C2×#14273697C2211yescharacteristic
55C2×#14273697C2211yescharacteristic, complemented
56C2×#14273697C2211yescharacteristic, complemented
57C2×#14273695C2211yescharacteristic
58C2×#14273695C2211yescharacteristic
59C2×C4×D236C2211yescharacteristic
60C2×C4×D236C2211yescharacteristic, complemented
61C2×C4×D236C2211yescharacteristic, complemented
62C2×D4×Dic59C2211yescharacteristic, complemented
63C2×#14273689C2211yescharacteristic
64C2×C4×C22⋊D59C2211yescharacteristic
65C2×C4×C22⋊D59C2211yescharacteristic, complemented
66C2×C4×C22⋊D59C2211yescharacteristic, complemented
67C2×(C22⋊D59)⋊C4C2211yescharacteristic
68C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
69C4×D4×D59—28no—
70C2×C4⋊C4×D59C2211yescharacteristic, complemented
71C2×C22⋊C4×D59C2211yescharacteristic
72C2×C22⋊C4×D59C2211yescharacteristic
73C2×C22⋊C4×D59C2211yescharacteristic, complemented
74C2×C22⋊C4×D59C2211yescharacteristic, complemented
75C2×C22⋊C4×D59C2211yescharacteristic, complemented
76C2×C42×D59C2211yescharacteristic, complemented
77#16837341C2211yescharacteristic, complemented
78#16837340C2211yescharacteristic, complemented
79#16837339C2211yescharacteristic, complemented
80#16837332C2211yescharacteristic, complemented
81#16837331C2211yescharacteristic, complemented
82#16837329C2211yescharacteristic, complemented
83#16837327C2211yescharacteristic, complemented
84#16837325C2211yescharacteristic, complemented
85#16837325C2211yescharacteristic, complemented
86#16837325C2211yescharacteristic, complemented
87#16837325C2211yescharacteristic, complemented
88#16837320C2211yescharacteristic, complemented
89#16837319C2211yescharacteristic, complemented
90#16837319C2211yescharacteristic, complemented
91#16837318C2211yescharacteristic, complemented
92#16837317C2211yescharacteristic, complemented
93#16837317C2211yescharacteristic, complemented
94#16837317C2211yescharacteristic, complemented
95#16837314C2211yescharacteristic, complemented
96#16837314C2211yescharacteristic, complemented
97#16837311C2211yescharacteristic
98#16837311C2211yescharacteristic, complemented
99#16837311C2211yescharacteristic, complemented
100#16837310C2211yescharacteristic
101#16837310C2211yescharacteristic
102#16837310C2211yescharacteristic, complemented
103#16837310C2211yescharacteristic, complemented
104#16837310C2211yescharacteristic, complemented
105#16837306C2211yescharacteristic, complemented
106#16837302C2211yescharacteristic, complemented
107#16837302C2211yescharacteristic, complemented
108#16837296C2211yescharacteristic, complemented
109#16837296C2211yescharacteristic, complemented
110#16837293C2211yescharacteristic, complemented
111#16837293C2211yescharacteristic, complemented
112#16837293C2211yescharacteristic, complemented
113#16837293C2211yescharacteristic, complemented
114#16837292C2211yescharacteristic, complemented
115#16837292C2211yescharacteristic, complemented
116#16837291C2211yescharacteristic, complemented
117#16837291C2211yescharacteristic, complemented
118#16837289C2211yescharacteristic, complemented
119#16837288C2211yescharacteristic, complemented
120#16837286C2211yescharacteristic, complemented
121#16837284C2211yescharacteristic, complemented
122#16837282C2211yescharacteristic, complemented
123#16837282C2211yescharacteristic, complemented
124#16837281C2211yescharacteristic, complemented
125#16837280C2211yescharacteristic
126#16837280C2211yescharacteristic
127#16837280C2211yescharacteristic
128#16837280C2211yescharacteristic
129#16837280C2211yescharacteristic
130#16837280C2211yescharacteristic
131#16837280C2211yescharacteristic, complemented
132#16837280C2211yescharacteristic, complemented
133#16837280C2211yescharacteristic, complemented
134#16837280C2211yescharacteristic, complemented
135#16837280C2211yescharacteristic, complemented
136#16837280C2211yescharacteristic, complemented
137#16837279C2211yescharacteristic, complemented
138#16837279C2211yescharacteristic, complemented
139#16837279C2211yescharacteristic, complemented
140#16837279C2211yescharacteristic, complemented
141#16837278C2211yescharacteristic
142#16837278C2211yescharacteristic
143#16837278C2211yescharacteristic
144#16837278C2211yescharacteristic
145#16837278C2211yescharacteristic
146#16837278C2211yescharacteristic
147#16837278C2211yescharacteristic, complemented
148#16837277C2211yescharacteristic, complemented
149#16837277C2211yescharacteristic, complemented
150#16837276C2211yescharacteristic, complemented
151#16837276C2211yescharacteristic, complemented
152#16837276C2211yescharacteristic, complemented
153#16837276C2211yescharacteristic, complemented
154#16837276C2211yescharacteristic, complemented
155#16837275C2211yescharacteristic, complemented
156#16837273C2211yescharacteristic, complemented
157#16837273C2211yescharacteristic, complemented
158#16837273C2211yescharacteristic, complemented
159#16837273C2211yescharacteristic, complemented
160#16837269C2211yescharacteristic, complemented
161#16837266C2211yescharacteristic, complemented
162#16837264C2211yescharacteristic, complemented
163#16837264C2211yescharacteristic, complemented
164#16837259C2211yescharacteristic, complemented
165#16837259C2211yescharacteristic, complemented
166#16837259C2211yescharacteristic, complemented
167#16837257C2211yescharacteristic
168#16837257C2211yescharacteristic, complemented
169#16837257C2211yescharacteristic, complemented
170C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
171C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
172#95×D59C2211yescharacteristic, complemented
173#95×D59C2211yescharacteristic, complemented
174C2×#126×C59C2211yescharacteristic, complemented
175C2×C4×D4×C59C2211yescharacteristic, complemented
176C59×#399C2211yescharacteristic, complemented
177C59×#394C2211yescharacteristic, complemented
178C59×#394C2211yescharacteristic, complemented
179C59×#392C2211yescharacteristic
180C59×#390C2211yescharacteristic, complemented
181C59×#388C2211yescharacteristic, complemented
182C59×#388C2211yescharacteristic, complemented
183C59×#387C2211yescharacteristic, complemented
184C59×#387C2211yescharacteristic, complemented
185C59×#386C2211yescharacteristic, complemented
186C59×#386C2211yescharacteristic, complemented
187C59×#380C2211yescharacteristic, complemented
188C4×C22⋊C4×C59C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C24×D59C2311yescharacteristic
191C24×D59C2311yescharacteristic
192C22×Dic118C2311yescharacteristic
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
206C22×C22⋊D59C2311yescharacteristic
207C22×C22⋊D59C2311yescharacteristic
208C22×C22⋊D59C2311yescharacteristic
209C2×D4×D59—24no—
210C2×D4×D59—24no—
211C2×D4×D59—24no—
212C2×D4×D59—24no—
213C2×D4×D59—42no—
214C2×D4×D59—42no—
215C23×Dic59C2311yescharacteristic
216C23×Dic59C2311yescharacteristic
217C22×C4×D59—24no—
218C22×C4×D59—24no—
219C22×C4×D59—42no—
220C22×C4×D59—42no—
221C22×C4×D59—42no—
222C22×C4×D59—42no—
223C22×C4×D59C2311yescharacteristic
224C22×C4×D59C2311yescharacteristic
225C22×C4×D59C2311yescharacteristic
226C22×C4×D59C2311yescharacteristic
227C22×C4×D59C2311yescharacteristic
228C22×C4×D59C2311yescharacteristic
229C22×C4×D59C2311yescharacteristic
230C22×C4×D59C2311yescharacteristic
231C22×C4×D59C2311yescharacteristic
232C22×C4×D59C2311yescharacteristic
233C22×C4×D59C2311yescharacteristic
234C22×C4×D59C2311yescharacteristic
235C22×C4×D59C2311yescharacteristic
236#14273722—24no—
237#14273715—24no—
238#14273713—24no—
239#14273712—24no—
240#14273709—24no—
241#14273709—42no—
242#14273705—24no—
243#14273705—42no—
244#14273702—24no—
245#14273702—24no—
246#14273702—42no—
247#14273701—42no—
248#14273700—24no—
249#14273700—24no—
250#14273700—42no—
251#14273697—24no—
252#14273697—24no—
253#14273697—24no—
254#14273697—42no—
255#14273697—42no—
256#14273695—24no—
257#14273695—42no—
258C4×D236—24no—
259C4×D236—24no—
260C4×D236—42no—
261D4×Dic59—24no—
262#14273689D418yescomplemented
263C4×C22⋊D59—24no—
264C4×C22⋊D59—24no—
265C4×C22⋊D59—42no—
266(C22⋊D59)⋊C4—24no—
267(C22⋊D59)⋊C4—24no—
268C2×C4⋊Dic59C2311yescharacteristic
269C2×C4⋊Dic59C2311yescharacteristic
270C2×C4⋊Dic59C2311yescharacteristic
271C2×C4⋊Dic59C2311yescharacteristic
272C2×C4⋊Dic59C2311yescharacteristic
273C2×Dic59⋊C4C2311yescharacteristic
274C2×Dic59⋊C4C2311yescharacteristic
275C2×Dic59⋊C4C2311yescharacteristic
276C2×Dic59⋊C4C2311yescharacteristic
277C2×Dic59⋊C4C2311yescharacteristic
278C2×Dic59⋊C4C2311yescharacteristic
279C2×Dic59⋊C4C2311yescharacteristic
280C2×Dic59⋊C4C2311yescharacteristic
281C2×Dic59⋊C4C2311yescharacteristic
282C4⋊C4×D59—24no—
283C2×C22⋊Dic59C2311yescharacteristic
284C2×C22⋊Dic59C2311yescharacteristic
285C2×C22⋊Dic59C2311yescharacteristic
286C2×C22⋊Dic59C2311yescharacteristic
287C2×C22⋊Dic59C2311yescharacteristic
288C2×C22⋊Dic59C2311yescharacteristic
289C2×C22⋊Dic59C2311yescharacteristic
290C2×C22⋊Dic59C2311yescharacteristic
291C2×C22⋊Dic59C2311yescharacteristic
292C2×C22⋊Dic59C2311yescharacteristic
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
326C22⋊C4×D59—24no—
327C22⋊C4×D59—24no—
328C22⋊C4×D59—24no—
329C22⋊C4×D59—42no—
330C22⋊C4×D59—42no—
331C2×C4×Dic59C2311yescharacteristic
332C2×C4×Dic59C2311yescharacteristic
333C2×C4×Dic59C2311yescharacteristic
334C2×C4×Dic59C2311yescharacteristic
335C42×D59—24no—
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
354C59⋊#95C2311yescharacteristic
355C59⋊#95C2311yescharacteristic
356C59⋊#95C2311yescharacteristic
357C59⋊#95C2311yescharacteristic
358C59⋊#95C2311yescharacteristic
359C59⋊#95C2311yescharacteristic
360C22×D4×C59C2311yescharacteristic
361C22×D4×C59C2311yescharacteristic
362C22×D4×C59C2311yescharacteristic
363C23×C4×C59C2311yescharacteristic
364C23×C4×C59C2311yescharacteristic
365#126×C59—24no—
366C4×D4×C59—24no—
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×C22⋊C4×C59C2311yescharacteristic
378C2×C22⋊C4×C59C2311yescharacteristic
379C2×C22⋊C4×C59C2311yescharacteristic
380C2×C22⋊C4×C59C2311yescharacteristic
381C2×C22⋊C4×C59C2311yescharacteristic
382C2×C22⋊C4×C59C2311yescharacteristic
383C2×C22⋊C4×C59C2311yescharacteristic
384C2×C22⋊C4×C59C2311yescharacteristic
385C2×C22⋊C4×C59C2311yescharacteristic
386C2×C42×C59C2311yescharacteristic
387C2×C42×C59C2311yescharacteristic
388C2×C42×C59C2311yescharacteristic
389#95×C59C2311yescharacteristic
390#95×C59C2311yescharacteristic
391#95×C59C2311yescharacteristic
392#95×C59C2311yescharacteristic
393#95×C59C2311yescharacteristic
394#95×C59C2311yescharacteristic
395#95×C59C2311yescharacteristic
396#95×C59C2311yescharacteristic
397C24×C59C2411yescharacteristic
398C24×C59C2411yescharacteristic
399C24×C59C2411yescharacteristic
400C23×D59—22no—
401C23×D59—22no—
402C23×D59—22no—
403C23×D59—22no—
404C23×D59—22no—
405C23×D59—22no—
406C23×D59—22no—
407C23×D59—22no—
408C23×D59—22no—
409C23×D59—22no—
410C23×D59—22no—
411C23×D59—22no—
412C23×D59—41no—
413C23×D59—41no—
414C23×D59—41no—
415C23×D59—41no—
416C23×D59—41no—
417C23×D59—41no—
418C23×D59—41no—
419C23×D59—41no—
420C23×D59#4114yes—
421C23×D59C2411yescharacteristic
422C23×D59C2411yescharacteristic
423C23×D59C2411yescharacteristic
424C23×D59C2411yescharacteristic
425C23×D59C2411yescharacteristic
426C2×D4×C59—22no—
427C2×D4×C59—22no—
428C2×D4×C59—22no—
429C2×D4×C59—22no—
430C2×D4×C59—22no—
431C2×D4×C59—41no—
432C2×D4×C59—41no—
433C2×D4×C59—41no—
434C2×D4×C59—41no—
435C22×C4×C59—22no—
436C22×C4×C59—22no—
437C22×C4×C59—22no—
438C22×C4×C59—22no—
439C22×C4×C59—41no—
440C22×C4×C59—41no—
441C22×C4×C59C2411yescharacteristic
442C22×C4×C59C2411yescharacteristic
443C22×C4×C59C2411yescharacteristic
444C22×C4×C59C2411yescharacteristic
445C22×C4×C59C2411yescharacteristic
446C22×C4×C59C2411yescharacteristic
447C22×C4×C59C2411yescharacteristic
448C22×C4×C59C2411yescharacteristic
449C22×C4×C59C2411yescharacteristic
450C22×C4×C59C2411yescharacteristic
451C22×C4×C59C2411yescharacteristic
452C22×C4×C59C2411yescharacteristic
453C2×C22⋊D59—22no—
454C2×C22⋊D59—22no—
455C2×C22⋊D59—22no—
456C2×C22⋊D59—22no—
457C2×C22⋊D59—22no—
458C2×C22⋊D59—22no—
459C2×C22⋊D59—22no—
460C2×C22⋊D59—22no—
461C2×C22⋊D59—22no—
462C2×C22⋊D59—22no—
463C2×C22⋊D59—22no—
464C2×C22⋊D59—22no—
465C2×C22⋊D59—22no—
466C2×C22⋊D59—22no—
467C2×C22⋊D59—41no—
468C2×C22⋊D59—41no—
469C2×C22⋊D59—41no—
470C2×C22⋊D59—41no—
471C2×C22⋊D59—41no—
472C2×C22⋊D59—41no—
473C2×C22⋊D59—41no—
474C2×C22⋊D59—41no—
475C2×C22⋊D59—41no—
476C2×C22⋊D59—41no—
477C2×C22⋊D59—41no—
478C2×C22⋊D59—41no—
479C2×C22⋊D59#4114yes—
480C22×Dic59—22no—
481C22×Dic59—22no—
482C22×Dic59—41no—
483C22×Dic59—41no—
484C22×Dic59—41no—
485C22×Dic59—41no—
486C22×Dic59C2411yescharacteristic
487C22×Dic59C2411yescharacteristic
488C22×Dic59C2411yescharacteristic
489C22×Dic59C2411yescharacteristic
490C22×Dic59C2411yescharacteristic
491C22×Dic59C2411yescharacteristic
492C22×Dic59C2411yescharacteristic
493C22×Dic59C2411yescharacteristic
494C22×Dic59C2411yescharacteristic
495C22×Dic59C2411yescharacteristic
496C22×Dic59C2411yescharacteristic
497D4×D59—232no—
498D4×D59—416no—
499C2×D236—22no—
500C2×D236—22no—
501C2×D236—22no—
502C2×D236—22no—
503C2×D236—22no—
504C2×D236—22no—
505C2×D236—22no—
506C2×D236—22no—
507C2×D236—22no—
508C2×D236—22no—
509C2×D236—22no—
510C2×D236—22no—
511C2×D236—22no—
512C2×D236—22no—
513C2×D236—41no—
514C2×D236—41no—
515C2×D236—41no—
516C2×D236—41no—
517C2×D236—41no—
518C2×D236—41no—
519C2×D236C2×D414yes—
520C2×C4×D59—22no—
521C2×C4×D59—22no—
522C2×C4×D59—22no—
523C2×C4×D59—22no—
524C2×C4×D59—22no—
525C2×C4×D59—22no—
526C2×C4×D59—22no—
527C2×C4×D59—22no—
528C2×C4×D59—22no—
529C2×C4×D59—22no—
530C2×C4×D59—22no—
531C2×C4×D59—22no—
532C2×C4×D59—22no—
533C2×C4×D59—22no—
534C2×C4×D59—22no—
535C2×C4×D59—22no—
536C2×C4×D59—22no—
537C2×C4×D59—22no—
538C2×C4×D59—22no—
539C2×C4×D59—22no—
540C2×C4×D59—416no—
541C2×C4×D59—416no—
542C2×C4×D59—41no—
543C2×C4×D59—41no—
544C2×C4×D59—41no—
545C2×C4×D59—41no—
546C2×C4×D59—41no—
547C2×C4×D59—41no—
548C2×C4×D59—41no—
549C2×C4×D59—41no—
550C2×C4×D59—41no—
551C2×C4×D59—41no—
552C2×C4×D59—41no—
553C2×C4×D59—41no—
554C2×C4×D59—41no—
555C2×C4×D59—41no—
556C2×C4×D59—41no—
557C2×C4×D59—41no—
558C2×C4×D59—41no—
559C2×C4×D59C2×D414yes—
560C2×C4×D59C2×D414yescomplemented
561C2×Dic118—22no—
562C2×Dic118—41no—
563C2×Dic118—41no—
564C4⋊C4×C59—22no—
565C4⋊C4×C59—22no—
566C4⋊C4×C59—41no—
567C4⋊C4×C59—41no—
568C4⋊C4×C59—41no—
569C4⋊C4×C59C2×D414yescomplemented
570C22⋊C4×C59—22no—
571C22⋊C4×C59—22no—
572C22⋊C4×C59—22no—
573C22⋊C4×C59—22no—
574C22⋊C4×C59—22no—
575C22⋊C4×C59—22no—
576C22⋊C4×C59—22no—
577C22⋊C4×C59—22no—
578C22⋊C4×C59—41no—
579C22⋊C4×C59—41no—
580C22⋊C4×C59—41no—
581C22⋊C4×C59—41no—
582C22⋊C4×C59—41no—
583C42×C59—22no—
584C42×C59—22no—
585C42×C59—41no—
586C22⋊Dic59—22no—
587C22⋊Dic59—22no—
588C22⋊Dic59—22no—
589C22⋊Dic59—22no—
590C22⋊Dic59—41no—
591C22⋊Dic59—41no—
592C22⋊Dic59—41no—
593C22⋊Dic59—41no—
594C22⋊Dic59—41no—
595C22⋊Dic59—41no—
596(C2×D59)⋊C4—22no—
597(C2×D59)⋊C4—22no—
598(C2×D59)⋊C4—22no—
599(C2×D59)⋊C4—22no—
600(C2×D59)⋊C4—22no—
601(C2×D59)⋊C4—22no—
602(C2×D59)⋊C4—22no—
603(C2×D59)⋊C4—22no—
604(C2×D59)⋊C4—22no—
605(C2×D59)⋊C4—22no—
606(C2×D59)⋊C4—22no—
607(C2×D59)⋊C4—22no—
608(C2×D59)⋊C4—22no—
609(C2×D59)⋊C4—22no—
610(C2×D59)⋊C4—22no—
611(C2×D59)⋊C4—22no—
612(C2×D59)⋊C4—22no—
613(C2×D59)⋊C4—22no—
614(C2×D59)⋊C4—22no—
615(C2×D59)⋊C4—22no—
616(C2×D59)⋊C4—22no—
617(C2×D59)⋊C4—41no—
618(C2×D59)⋊C4—41no—
619(C2×D59)⋊C4—41no—
620(C2×D59)⋊C4—41no—
621(C2×D59)⋊C4—41no—
622(C2×D59)⋊C4—41no—
623(C2×D59)⋊C4—41no—
624(C2×D59)⋊C4—41no—
625(C2×D59)⋊C4—41no—
626(C2×D59)⋊C4—41no—
627(C2×D59)⋊C4C2×D414yes—
628(C2×D59)⋊C4C2×D414yescomplemented
629C4⋊Dic59—22no—
630C4⋊Dic59—22no—
631C4⋊Dic59—41no—
632C4⋊Dic59—41no—
633C4⋊Dic59—41no—
634Dic59⋊C4—22no—
635Dic59⋊C4—22no—
636Dic59⋊C4—22no—
637Dic59⋊C4—22no—
638Dic59⋊C4—22no—
639Dic59⋊C4—22no—
640Dic59⋊C4—41no—
641Dic59⋊C4—41no—
642Dic59⋊C4—41no—
643C4×Dic59—22no—
644C4×Dic59—22no—
645C4×Dic59—41no—
646C4×Dic59C2×D414yescomplemented
647C23×C59—21no—
648C23×C59—21no—
649C23×C59—21no—
650C23×C59—21no—
651C23×C59—21no—
652C23×C59—21no—
653C23×C59—21no—
654C23×C59—21no—
655C23×C59—21no—
656C23×C59—21no—
657C23×C59—21no—
658C23×C59—21no—
659C23×C59—21no—
660C23×C59—21no—
661C23×C59—21no—
662C23×C59—21no—
663C23×C59—21no—
664C23×C59—21no—
665C23×C59—21no—
666C23×C59C2×#4112yes—
667C23×C59C2×#4112yes—
668C23×C59C2511yescharacteristic
669C22×D59—21no—
670C22×D59—21no—
671C22×D59—21no—
672C22×D59—21no—
673C22×D59—21no—
674C22×D59—21no—
675C22×D59—21no—
676C22×D59—21no—
677C22×D59—28no—
678C22×D59—21no—
679C22×D59—21no—
680C22×D59—21no—
681C22×D59—21no—
682C22×D59—21no—
683C22×D59—21no—
684C22×D59—28no—
685C22×D59—28no—
686C22×D59—21no—
687C22×D59—21no—
688C22×D59—21no—
689C22×D59—21no—
690C22×D59—21no—
691C22×D59—21no—
692C22×D59—21no—
693C22×D59—21no—
694C22×D59—21no—
695C22×D59—21no—
696C22×D59—21no—
697C22×D59—21no—
698C22×D59—21no—
699C22×D59—21no—
700C22×D59—44no—
701C22×D59—44no—
702C22×D59—44no—
703C22×D59—44no—
704C22×D59—44no—
705C22×D59—44no—
706C22×D59—44no—
707C22×D59—44no—
708C22×D59—44no—
709C22×D59—44no—
710C22×D59—44no—
711C22×D59—44no—
712C22×D59—44no—
713C22×D59—44no—
714C22×D59—82no—
715C22×D59—82no—
716C22×D59—82no—
717C22×D59—82no—
718C22×D59C22×D412yes—
719C22×D59C22×D412yes—
720C22×D59C2×#4112yes—
721C22×D59C2×#4112yes—
722C22×D59C2×#4112yes—
723C22×D59H(5,𝔽2)12yes—
724C22×D59H(5,𝔽2)12yes—
725D4×C59—28no—
726D4×C59—44no—
727D4×C59—82no—
728C2×C4×C59—21no—
729C2×C4×C59—21no—
730C2×C4×C59—21no—
731C2×C4×C59—21no—
732C2×C4×C59—21no—
733C2×C4×C59—21no—
734C2×C4×C59—21no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—21no—
760C2×C4×C59—44no—
761C2×C4×C59—44no—
762C2×C4×C59C22×D412yes—
763C2×C4×C59C22×D412yes—
764C2×C4×C59C22×D412yes—
765C2×C4×C59H(5,𝔽2)12yes—
766C22⋊D59—28no—
767C22⋊D59—28no—
768C22⋊D59—44no—
769C22⋊D59—44no—
770C22⋊D59—44no—
771C22⋊D59—82no—
772C22⋊D59—82no—
773C22⋊D59—82no—
774C22⋊D59—82no—
775C2×Dic59—21no—
776C2×Dic59—21no—
777C2×Dic59—21no—
778C2×Dic59—21no—
779C2×Dic59—21no—
780C2×Dic59—21no—
781C2×Dic59—21no—
782C2×Dic59—21no—
783C2×Dic59—21no—
784C2×Dic59—21no—
785C2×Dic59—21no—
786C2×Dic59—21no—
787C2×Dic59—21no—
788C2×Dic59—21no—
789C2×Dic59—21no—
790C2×Dic59—21no—
791C2×Dic59—21no—
792C2×Dic59—21no—
793C2×Dic59—21no—
794C2×Dic59—21no—
795C2×Dic59—21no—
796C2×Dic59—21no—
797C2×Dic59—21no—
798C2×Dic59—21no—
799C2×Dic59—21no—
800C2×Dic59—21no—
801C2×Dic59—21no—
802C2×Dic59—21no—
803C2×Dic59—21no—
804C2×Dic59—21no—
805C2×Dic59—44no—
806C2×Dic59—44no—
807C2×Dic59C22×D412yes—
808C2×Dic59C22×D412yes—
809C2×Dic59C2×#4112yes—
810D236—28no—
811D236—44no—
812D236—44no—
813D236—44no—
814D236—82no—
815D236—82no—
816D236—82no—
817C4×D59—28no—
818C4×D59—28no—
819C4×D59—44no—
820C4×D59—44no—
821C4×D59—44no—
822C4×D59—44no—
823C4×D59—44no—
824C4×D59—44no—
825C4×D59—44no—
826C4×D59—44no—
827C4×D59—82no—
828C4×D59—82no—
829C4×D59—82no—
830Dic118—82no—
831#34990—591nomaximal, Sylow
832C22×C59—22no—
833C22×C59—22no—
834C22×C59—22no—
835C22×C59—22no—
836C22×C59—22no—
837C22×C59—22no—
838C22×C59—41no—
839C22×C59—41no—
840C22×C59—41no—
841C22×C59—41no—
842C22×C59—41no—
843C22×C59—41no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59C23×D411yescharacteristic
854C22×C59C22×#4111yescharacteristic
855C22×C59C22×#4111yescharacteristic
856C22×C59C2×H(5,𝔽2)11yescharacteristic
857C22×C59C2×H(5,𝔽2)11yescharacteristic
858C22×C59C2×H(5,𝔽2)11yescharacteristic
859C22×C59#58511yescharacteristic
860C2×D59—22no—
861C2×D59—22no—
862C2×D59—22no—
863C2×D59—22no—
864C2×D59—22no—
865C2×D59—22no—
866C2×D59—22no—
867C2×D59—22no—
868C2×D59—22no—
869C2×D59—22no—
870C2×D59—22no—
871C2×D59—22no—
872C2×D59—22no—
873C2×D59—22no—
874C2×D59—22no—
875C2×D59—416no—
876C2×D59—416no—
877C2×D59—41no—
878C2×D59—41no—
879C2×D59—41no—
880C2×D59—41no—
881C2×D59—41no—
882C2×D59—41no—
883C2×D59—41no—
884C2×D59—41no—
885C2×D59—41no—
886C2×D59—41no—
887C2×D59—41no—
888C2×D59—41no—
889C2×D59—41no—
890C2×D59—41no—
891C2×D59—41no—
892C2×D59—41no—
893C2×D59—41no—
894C2×D59—41no—
895C2×D59—88no—
896C2×D59#52514yes—
897C2×D59#53814yescomplemented
898C4×C59—22no—
899C4×C59—22no—
900C4×C59—22no—
901C4×C59—22no—
902C4×C59—41no—
903C4×C59—41no—
904C4×C59—41no—
905C4×C59—41no—
906C4×C59—41no—
907C4×C59—41no—
908C4×C59—41no—
909C4×C59—41no—
910Dic59—22no—
911Dic59—22no—
912Dic59—22no—
913Dic59—41no—
914Dic59—41no—
915Dic59—41no—
916Dic59—41no—
917Dic59—41no—
918Dic59—41no—
919Dic59—41no—
920Dic59—41no—
921C2×#538—591no—
922C22×C4×D4—591no—
923#2852—591no—
924#2850—591no—
925#2849—591no—
926#2847—591no—
927#2636—591no—
928#2635—591no—
929#2631—591no—
930#2630—591no—
931#2481—591no—
932#2472—591no—
933#2467D5911yescharacteristic, complemented
934#2459—591no—
935#2456—591no—
936#2456—591no—
937#2450—591no—
938#2444—591no—
939#2443—591no—
940#2437—591no—
941#2424—591no—
942#2424—591no—
943#2418—591no—
944#2410—591no—
945#2410—591no—
946#2403—591no—
947#2325—591no—
948#2321—591no—
949#2318—591no—
950C4×#120—591no—
951C2×#386—591no—
952C2×C59—42no—
953C2×C59—42no—
954C2×C59—81no—
955C2×C59C2×#52511yescharacteristic
956C2×C59C2×#53811yescharacteristic
957C2×C59#345911yescharacteristic
958C2×C59#348411yescharacteristic
959C2×C59#348811yescharacteristic
960C2×C59#351311yescharacteristic
961C2×C59#351911yescharacteristic
962D59—24no—
963D59—24no—
964D59—42no—
965D59—81no—
966D59—81no—
967C23×D4—591no—
968C23×D4—591no—
969C24×C4—591no—
970C24×C4—591no—
971#538—1188no—
972C2×#126—591no—
973C2×#126C2×D5911yescharacteristic, complemented
974C2×#124—591no—
975C2×#124—591no—
976C2×#123—591no—
977C2×#123—591no—
978C2×#123—591no—
979C2×C22⋊Q8—591no—
980C2×C22⋊Q8—591no—
981C2×#121—591no—
982C2×#121—591no—
983C2×#121—591no—
984C2×#121—591no—
985C2×#121—591no—
986C2×#121—591no—
987C2×#121—591no—
988C2×#120—591no—
989C2×#120—591no—
990C2×#120—591no—
991C2×#120—591no—
992C2×#120—591no—
993C2×#120—591no—
994C2×#120—591no—
995C2×C4×D4—591no—
996C2×C4×D4—591no—
997C2×C4×D4—591no—
998C2×C4×D4—591no—
999C2×C4×D4—591no—
1000C2×C4×D4—591no—
1001C2×C4×D4—591no—
1002C2×C4×D4—591no—
1003C2×C4×D4—591no—
1004C2×C4×D4—591no—
1005C2×C4×D4—1188no—
1006C2×C4×D4C2×D5911yescharacteristic, complemented
1007C22×C4⋊C4—591no—
1008C22×C22⋊C4—591no—
1009C22×C22⋊C4—591no—
1010C22×C22⋊C4—591no—
1011C22×C22⋊C4—591no—
1012C22×C22⋊C4—591no—
1013C22×C42—591no—
1014#400—591no—
1015#400—591no—
1016#399—591no—
1017#399C2×D5911yescharacteristic, complemented
1018#398—591no—
1019#397—591no—
1020#397—591no—
1021#397—591no—
1022#396—591no—
1023#396—591no—
1024#396—591no—
1025#396—591no—
1026#394—591no—
1027#394—591no—
1028#394—591no—
1029#394—591no—
1030#394—591no—
1031#394—591no—
1032#394—591no—
1033#394C2×D5911yescharacteristic, complemented
1034#394C2×D5911yescharacteristic, complemented
1035#393—591no—
1036#393—591no—
1037#392—591no—
1038#392—591no—
1039#392—591no—
1040#392—591no—
1041#392—591no—
1042#392—591no—
1043#392—591no—
1044#392—591no—
1045#392C2×D5911yescharacteristic
1046#391—591no—
1047#390—591no—
1048#390—591no—
1049#390C2×D5911yescharacteristic, complemented
1050#388—591no—
1051#388—591no—
1052#388—591no—
1053#388—591no—
1054#388—591no—
1055#388—591no—
1056#388—591no—
1057#388—591no—
1058#388—591no—
1059#388—591no—
1060#388C2×D5911yescharacteristic, complemented
1061#388C2×D5911yescharacteristic, complemented
1062#387—591no—
1063#387—591no—
1064#387—591no—
1065#387—591no—
1066#387C2×D5911yescharacteristic, complemented
1067#387C2×D5911yescharacteristic, complemented
1068#386—591no—
1069#386—591no—
1070#386—591no—
1071#386—591no—
1072#386—591no—
1073#386—591no—
1074#386—591no—
1075#386—591no—
1076#386—591no—
1077#386—591no—
1078#386—591no—
1079#386—591no—
1080#386—591no—
1081#386—591no—
1082#386—591no—
1083#386—591no—
1084#386—591no—
1085#386—591no—
1086#386—591no—
1087#386—591no—
1088#386—591no—
1089#386—591no—
1090#386—591no—
1091#386—591no—
1092#386—591no—
1093#386—591no—
1094#386C2×D5911yescharacteristic, complemented
1095#386C2×D5911yescharacteristic, complemented
1096#385—591no—
1097#385—591no—
1098#385—591no—
1099#385—591no—
1100#385—591no—
1101#385—591no—
1102#385—591no—
1103#385—591no—
1104#385—591no—
1105#385—591no—
1106#385—591no—
1107#385—591no—
1108#383—591no—
1109#382—591no—
1110#381—591no—
1111#381—591no—
1112#380—591no—
1113#380—591no—
1114#380—591no—
1115#380C2×D5911yescharacteristic, complemented
1116#379—591no—
1117#379—591no—
1118#379—591no—
1119C4×C22⋊C4—591no—
1120C4×C22⋊C4—591no—
1121C4×C22⋊C4C2×D5911yescharacteristic, complemented
1122C2×#95—591no—
1123C2×#95—591no—
1124C59#3499011yescharacteristic, complemented, Sylow
1125C25—591no—
1126C25—591no—
1127C25—591no—
1128C22×Q8—591no—
1129C22×D4—591no—
1130C22×D4—591no—
1131C22×D4—591no—
1132C22×D4—591no—
1133C22×D4—591no—
1134C22×D4—591no—
1135C22×D4—591no—
1136C22×D4—591no—
1137C22×D4—591no—
1138C22×D4—591no—
1139C22×D4—591no—
1140C22×D4—591no—
1141C22×D4—591no—
1142C22×D4—591no—
1143C22×D4—591no—
1144C22×D4—591no—
1145C22×D4—1184no—
1146C22×D4—1184no—
1147C22×D4—1184no—
1148C22×D4—1184no—
1149C22×D4—2362no—
1150C22×D4—2362no—
1151C22×D4C22×D5911yescharacteristic
1152C22×D4C22×D5911yescharacteristic
1153C22×D4C22×D5911yescharacteristic
1154C23×C4—591no—
1155C23×C4—591no—
1156C23×C4—591no—
1157C23×C4—591no—
1158C23×C4—591no—
1159C23×C4—591no—
1160C23×C4—591no—
1161C23×C4—591no—
1162C23×C4—591no—
1163C23×C4—591no—
1164C23×C4—591no—
1165C23×C4—591no—
1166C23×C4—591no—
1167C23×C4—591no—
1168C23×C4—591no—
1169C23×C4—1184no—
1170C23×C4—1184no—
1171C23×C4—2362no—
1172C23×C4—2362no—
1173C23×C4—2362no—
1174C23×C4—2362no—
1175C23×C4C22×D5911yescharacteristic
1176C23×C4C22×D5911yescharacteristic
1177#126—24no—
1178#126—1184no—
1179#124—1184no—
1180#124—1184no—
1181#123—1184no—
1182#123—1184no—
1183#123—2362no—
1184C22⋊Q8—1184no—
1185C22⋊Q8—2362no—
1186#121—1184no—
1187#121—1184no—
1188#121—1184no—
1189#121—1184no—
1190#121—2362no—
1191#121—2362no—
1192#121—2362no—
1193#120—1184no—
1194#120—1184no—
1195#120—1184no—
1196#120—1184no—
1197#120—2362no—
1198#120—2362no—
1199#120—2362no—
1200C4×D4—24no—
1201C4×D4—598no—
1202C4×D4—1184no—
1203C4×D4—1184no—
1204C4×D4—1184no—
1205C4×D4—1184no—
1206C4×D4—1184no—
1207C4×D4—1184no—
1208C4×D4—1184no—
1209C4×D4—2362no—
1210C4×D4—2362no—
1211C2×C4⋊C4—591no—
1212C2×C4⋊C4—591no—
1213C2×C4⋊C4—591no—
1214C2×C4⋊C4—591no—
1215C2×C4⋊C4—591no—
1216C2×C4⋊C4—591no—
1217C2×C4⋊C4—591no—
1218C2×C4⋊C4—591no—
1219C2×C4⋊C4—591no—
1220C2×C4⋊C4—591no—
1221C2×C4⋊C4—591no—
1222C2×C4⋊C4—591no—
1223C2×C4⋊C4—591no—
1224C2×C4⋊C4—591no—
1225C2×C4⋊C4—1184no—
1226C2×C4⋊C4C22×D5911yescharacteristic
1227C2×C4⋊C4C22×D5911yescharacteristic
1228C2×C4⋊C4C22×D5911yescharacteristic
1229C2×C4⋊C4C22×D5911yescharacteristic
1230C2×C4⋊C4C22×D5911yescharacteristic
1231C2×C4⋊C4C22×D5911yescharacteristic
1232C2×C22⋊C4—591no—
1233C2×C22⋊C4—591no—
1234C2×C22⋊C4—591no—
1235C2×C22⋊C4—591no—
1236C2×C22⋊C4—591no—
1237C2×C22⋊C4—591no—
1238C2×C22⋊C4—591no—
1239C2×C22⋊C4—591no—
1240C2×C22⋊C4—591no—
1241C2×C22⋊C4—591no—
1242C2×C22⋊C4—591no—
1243C2×C22⋊C4—591no—
1244C2×C22⋊C4—591no—
1245C2×C22⋊C4—591no—
1246C2×C22⋊C4—591no—
1247C2×C22⋊C4—591no—
1248C2×C22⋊C4—591no—
1249C2×C22⋊C4—591no—
1250C2×C22⋊C4—591no—
1251C2×C22⋊C4—591no—
1252C2×C22⋊C4—591no—
1253C2×C22⋊C4—591no—
1254C2×C22⋊C4—591no—
1255C2×C22⋊C4—591no—
1256C2×C22⋊C4—591no—
1257C2×C22⋊C4—591no—
1258C2×C22⋊C4—591no—
1259C2×C22⋊C4—591no—
1260C2×C22⋊C4—591no—
1261C2×C22⋊C4—591no—
1262C2×C22⋊C4—591no—
1263C2×C22⋊C4—591no—
1264C2×C22⋊C4—591no—
1265C2×C22⋊C4—591no—
1266C2×C22⋊C4—591no—
1267C2×C22⋊C4—591no—
1268C2×C22⋊C4—591no—
1269C2×C22⋊C4—591no—
1270C2×C22⋊C4—591no—
1271C2×C22⋊C4—591no—
1272C2×C22⋊C4—591no—
1273C2×C22⋊C4—591no—
1274C2×C22⋊C4—591no—
1275C2×C22⋊C4—1184no—
1276C2×C22⋊C4—1184no—
1277C2×C22⋊C4—1184no—
1278C2×C22⋊C4—2362no—
1279C2×C22⋊C4—2362no—
1280C2×C22⋊C4C22×D5911yescharacteristic
1281C2×C22⋊C4C22×D5911yescharacteristic
1282C2×C22⋊C4C22×D5911yescharacteristic
1283C2×C22⋊C4C22×D5911yescharacteristic
1284C2×C22⋊C4C22×D5911yescharacteristic
1285C2×C22⋊C4C22×D5911yescharacteristic
1286C2×C22⋊C4C22×D5911yescharacteristic
1287C2×C22⋊C4C22×D5911yescharacteristic
1288C2×C22⋊C4C22×D5911yescharacteristic
1289C2×C22⋊C4C22×D5911yescharacteristic
1290C2×C22⋊C4C22×D5911yescharacteristic
1291C2×C22⋊C4C22×D5911yescharacteristic
1292C2×C22⋊C4C22×D5911yescharacteristic
1293C2×C42—591no—
1294C2×C42—591no—
1295C2×C42—591no—
1296C2×C42—591no—
1297C2×C42—1184no—
1298C2×C42C22×D5911yescharacteristic
1299C2×C42C22×D5911yescharacteristic
1300C2×C42C22×D5911yescharacteristic
1301#95—591no—
1302#95—591no—
1303#95—591no—
1304#95—591no—
1305#95—591no—
1306#95—591no—
1307#95—591no—
1308#95—591no—
1309#95—591no—
1310#95—591no—
1311#95—591no—
1312#95—591no—
1313#95—591no—
1314#95—591no—
1315#95—591no—
1316#95—591no—
1317#95—591no—
1318#95—591no—
1319#95—591no—
1320#95—591no—
1321#95—591no—
1322#95—591no—
1323#95—591no—
1324#95—591no—
1325#95C22×D5911yescharacteristic
1326#95C22×D5911yescharacteristic
1327#95C22×D5911yescharacteristic
1328#95C22×D5911yescharacteristic
1329#95C22×D5911yescharacteristic
1330#95C22×D5911yescharacteristic
1331#95C22×D5911yescharacteristic
1332#95C22×D5911yescharacteristic
1333C24—591no—
1334C24—591no—
1335C24—591no—
1336C24—594no—
1337C24—591no—
1338C24—591no—
1339C24—1182no—
1340C24—1182no—
1341C24—1182no—
1342C24—1182no—
1343C24—1182no—
1344C24—1182no—
1345C24—1182no—
1346C24—1182no—
1347C24—1182no—
1348C24—1182no—
1349C24—1182no—
1350C24—1182no—
1351C24—2361no—
1352C24—2361no—
1353C24—2361no—
1354C24—2361no—
1355C24—2361no—
1356C24—2361no—
1357C24—2361no—
1358C24—2361no—
1359C24C23×D5911yescharacteristic
1360C24C23×D5911yescharacteristic
1361C24C23×D5911yescharacteristic
1362C2×Q8—1182no—
1363C2×Q8—2361no—
1364C2×Q8—2361no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—41no—
1371C2×D4—41no—
1372C2×D4—41no—
1373C2×D4—41no—
1374C2×D4—594no—
1375C2×D4—594no—
1376C2×D4—1182no—
1377C2×D4—1182no—
1378C2×D4—1182no—
1379C2×D4—1182no—
1380C2×D4—1182no—
1381C2×D4—1182no—
1382C2×D4—1182no—
1383C2×D4—1182no—
1384C2×D4—1182no—
1385C2×D4—1182no—
1386C2×D4—1182no—
1387C2×D4—1182no—
1388C2×D4—1182no—
1389C2×D4—1182no—
1390C2×D4—1182no—
1391C2×D4—11832no—
1392C2×D4—1182no—
1393C2×D4—1182no—
1394C2×D4—1182no—
1395C2×D4—1182no—
1396C2×D4—1182no—
1397C2×D4—1182no—
1398C2×D4—1182no—
1399C2×D4—1182no—
1400C2×D4—1182no—
1401C2×D4—1182no—
1402C2×D4—1182no—
1403C2×D4—1182no—
1404C2×D4—1182no—
1405C2×D4—2361no—
1406C2×D4—2361no—
1407C2×D4—2361no—
1408C2×D4—2361no—
1409C2×D4—2361no—
1410C2×D4—2361no—
1411C2×D4—2361no—
1412C2×D4—2361no—
1413C2×D4—2361no—
1414C2×D4—2361no—
1415C2×D4—2361no—
1416C2×D4—2361no—
1417C2×D4—2361no—
1418C2×D4—2361no—
1419C2×D4—2361no—
1420C2×D4—2361no—
1421C2×D4—2361no—
1422C2×D4—2361no—
1423C2×D4—23616no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—41no—
1429C22×C4—41no—
1430C22×C4—591no—
1431C22×C4—591no—
1432C22×C4—591no—
1433C22×C4—594no—
1434C22×C4—594no—
1435C22×C4—591no—
1436C22×C4—591no—
1437C22×C4—591no—
1438C22×C4—591no—
1439C22×C4—591no—
1440C22×C4—591no—
1441C22×C4—591no—
1442C22×C4—591no—
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—1182no—
1453C22×C4—1182no—
1454C22×C4—1182no—
1455C22×C4—1182no—
1456C22×C4—1182no—
1457C22×C4—1182no—
1458C22×C4—1182no—
1459C22×C4—1182no—
1460C22×C4—1182no—
1461C22×C4—1182no—
1462C22×C4—1182no—
1463C22×C4—1182no—
1464C22×C4—1182no—
1465C22×C4—2361no—
1466C22×C4—2361no—
1467C22×C4—2361no—
1468C22×C4—2361no—
1469C22×C4—2361no—
1470C22×C4—2361no—
1471C22×C4—2361no—
1472C22×C4—2361no—
1473C22×C4—2361no—
1474C22×C4—2361no—
1475C22×C4—2361no—
1476C22×C4—2361no—
1477C22×C4—2361no—
1478C22×C4—2361no—
1479C22×C4—2361no—
1480C22×C4—2361no—
1481C22×C4—2361no—
1482C22×C4—23616no—
1483C22×C4—23616no—
1484C22×C4—2361no—
1485C22×C4—2361no—
1486C22×C4—2361no—
1487C22×C4—2361no—
1488C22×C4C23×D5911yescharacteristic
1489C22×C4C23×D5911yescharacteristic
1490C22×C4C23×D5911yescharacteristic
1491C22×C4C23×D5911yescharacteristic
1492C22×C4C23×D5911yescharacteristic
1493C22×C4C23×D5911yescharacteristic
1494C22×C4C23×D5911yescharacteristic
1495C22×C4C23×D5911yescharacteristic
1496C22×C4C23×D5911yescharacteristic
1497C22×C4C23×D5911yescharacteristic
1498C22×C4C23×D5911yescharacteristic
1499C22×C4C23×D5911yescharacteristic
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—41no—
1503C4⋊C4—41no—
1504C4⋊C4—41no—
1505C4⋊C4—1182no—
1506C4⋊C4—1182no—
1507C4⋊C4—1182no—
1508C4⋊C4—1182no—
1509C4⋊C4—1182no—
1510C4⋊C4—1182no—
1511C4⋊C4—1182no—
1512C4⋊C4—1182no—
1513C4⋊C4—2361no—
1514C4⋊C4—2361no—
1515C4⋊C4—2361no—
1516C4⋊C4—2361no—
1517C4⋊C4—2361no—
1518C4⋊C4—2361no—
1519C4⋊C4D4×D5914yescomplemented
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—22no—
1527C22⋊C4—22no—
1528C22⋊C4—41no—
1529C22⋊C4—41no—
1530C22⋊C4—41no—
1531C22⋊C4—41no—
1532C22⋊C4—41no—
1533C22⋊C4—594no—
1534C22⋊C4—594no—
1535C22⋊C4—1182no—
1536C22⋊C4—1182no—
1537C22⋊C4—1182no—
1538C22⋊C4—1182no—
1539C22⋊C4—1182no—
1540C22⋊C4—1182no—
1541C22⋊C4—1182no—
1542C22⋊C4—1182no—
1543C22⋊C4—1182no—
1544C22⋊C4—1182no—
1545C22⋊C4—1182no—
1546C22⋊C4—1182no—
1547C22⋊C4—1182no—
1548C22⋊C4—1182no—
1549C22⋊C4—1182no—
1550C22⋊C4—1182no—
1551C22⋊C4—1182no—
1552C22⋊C4—1182no—
1553C22⋊C4—1182no—
1554C22⋊C4—1182no—
1555C22⋊C4—1182no—
1556C22⋊C4—1182no—
1557C22⋊C4—1182no—
1558C22⋊C4—1182no—
1559C22⋊C4—1182no—
1560C22⋊C4—2361no—
1561C22⋊C4—2361no—
1562C22⋊C4—2361no—
1563C22⋊C4—2361no—
1564C22⋊C4—2361no—
1565C22⋊C4—2361no—
1566C22⋊C4—2361no—
1567C22⋊C4—2361no—
1568C22⋊C4—2361no—
1569C22⋊C4—2361no—
1570C22⋊C4—2361no—
1571C22⋊C4—2361no—
1572C22⋊C4—2361no—
1573C22⋊C4—2361no—
1574C22⋊C4—2361no—
1575C22⋊C4—2361no—
1576C42—22no—
1577C42—22no—
1578C42—41no—
1579C42—594no—
1580C42—1182no—
1581C42—1182no—
1582C42—2361no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—592no—
1603C23—592no—
1604C23—592no—
1605C23—592no—
1606C23—592no—
1607C23—592no—
1608C23—592no—
1609C23—1188no—
1610C23—1188no—
1611C23—1188no—
1612C23—1181no—
1613C23—1181no—
1614C23—1181no—
1615C23—1181no—
1616C23—1181no—
1617C23—1181no—
1618C23—1181no—
1619C23—1181no—
1620C23—1181no—
1621C23—1181no—
1622C23—1181no—
1623C23—1181no—
1624C23—1181no—
1625C23—1181no—
1626C23—1181no—
1627C23—1181no—
1628C23—1181no—
1629C23—1181no—
1630C23—1181no—
1631C23—1181no—
1632C23—1181no—
1633C23—1181no—
1634C23—1181no—
1635C23—1181no—
1636C23—1181no—
1637C23—1181no—
1638C23—1181no—
1639C23—1181no—
1640C23—4722no—
1641C23—4722no—
1642C23—4722no—
1643C23—4722no—
1644C23—2364no—
1645C23—2364no—
1646C23—2364no—
1647C23—2364no—
1648C23—2364no—
1649C23—2364no—
1650C23—2364no—
1651C23—2364no—
1652C23—2364no—
1653C23—2364no—
1654C23—2364no—
1655C23—2364no—
1656C23—2364no—
1657C23—2364no—
1658C23#41×D5912yes—
1659C23#41×D5912yes—
1660C23C24×D5911yescharacteristic
1661Q8—4722no—
1662D4—28no—
1663D4—44no—
1664D4—82no—
1665D4—1188no—
1666D4—1188no—
1667D4—1188no—
1668D4—4722no—
1669D4—4722no—
1670D4—4722no—
1671D4—4722no—
1672D4—4722no—
1673D4—4722no—
1674D4—4722no—
1675D4—2364no—
1676D4—2364no—
1677D4—2364no—
1678D4—2364no—
1679D4—2364no—
1680D4—2364no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—44no—
1714C2×C4—44no—
1715C2×C4—592no—
1716C2×C4—592no—
1717C2×C4—592no—
1718C2×C4—1188no—
1719C2×C4—1188no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—1181no—
1723C2×C4—1181no—
1724C2×C4—1181no—
1725C2×C4—1181no—
1726C2×C4—1181no—
1727C2×C4—1181no—
1728C2×C4—1181no—
1729C2×C4—1181no—
1730C2×C4—1181no—
1731C2×C4—1181no—
1732C2×C4—1181no—
1733C2×C4—1181no—
1734C2×C4—1181no—
1735C2×C4—1181no—
1736C2×C4—1181no—
1737C2×C4—1181no—
1738C2×C4—1181no—
1739C2×C4—1181no—
1740C2×C4—1181no—
1741C2×C4—1181no—
1742C2×C4—1181no—
1743C2×C4—1181no—
1744C2×C4—1181no—
1745C2×C4—1181no—
1746C2×C4—1181no—
1747C2×C4—1181no—
1748C2×C4—1181no—
1749C2×C4—1181no—
1750C2×C4—4722no—
1751C2×C4—4722no—
1752C2×C4—4722no—
1753C2×C4—2364no—
1754C2×C4—2364no—
1755C2×C4—2364no—
1756C2×C4—2364no—
1757C2×C4—2364no—
1758C2×C4—2364no—
1759C2×C4—2364no—
1760C2×C4—2364no—
1761C2×C4—2364no—
1762C2×C4—2364no—
1763C2×C4C2×D4×D5912yes—
1764C2×C4C2×D4×D5912yes—
1765C2×C4C2×D4×D5912yes—
1766C2×C4#1427377312yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—594no—
1789C22—594no—
1790C22—1182no—
1791C22—1182no—
1792C22—1182no—
1793C22—1182no—
1794C22—1182no—
1795C22—1182no—
1796C22—1182no—
1797C22—1182no—
1798C22—1182no—
1799C22—1182no—
1800C22—1182no—
1801C22—1182no—
1802C22—1182no—
1803C22—1182no—
1804C22—1182no—
1805C22—4728no—
1806C22—23616no—
1807C22—23616no—
1808C22—2361no—
1809C22—2361no—
1810C22—2361no—
1811C22—2361no—
1812C22—2361no—
1813C22—2361no—
1814C22—2361no—
1815C22—2361no—
1816C22—2361no—
1817C22—2361no—
1818C22—2361no—
1819C22—2361no—
1820C22—2361no—
1821C22—2361no—
1822C22—2361no—
1823C22—2361no—
1824C22—2361no—
1825C22—2361no—
1826C22C22×D4×D5911yescharacteristic
1827C22C2×#41×D5911yescharacteristic
1828C22C2×#41×D5911yescharacteristic
1829C22H(5,𝔽2)×D5911yescharacteristic
1830C22H(5,𝔽2)×D5911yescharacteristic
1831C22C2×#1427377311yescharacteristic
1832C22#1683823811yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—1182no—
1846C4—1182no—
1847C4—1182no—
1848C4—2361no—
1849C4—2361no—
1850C4—2361no—
1851C4—2361no—
1852C4—2361no—
1853C4—2361no—
1854C4—2361no—
1855C4—2361no—
1856C2—42no—
1857C2—42no—
1858C2—81no—
1859C2—1184no—
1860C2—1184no—
1861C2—4721no—
1862C2—4721no—
1863C2—2362no—
1864C2#525×D5911yescharacteristic
1865C2#538×D5911yescharacteristic
1866C2#2143750611yescharacteristic
1867C2#2143772611yescharacteristic
1868C2#2143776411yescharacteristic
1869C2#2143803311yescharacteristic
1870C2#2143812111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2467C2
hypercenter#2467D59
hypocenterC59#34990
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2467

Complements

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

NH ≅ G/Ntype
1. C2×#16837991C2semidirect
2. C2×C4×D4×D59C2semidirect
3. #21432414C2semidirect
4. #21432394C2semidirect
5. #21432387C2semidirect
6. #21432379C2semidirect
7. #21429992C2semidirect
8. #21429986C2semidirect
9. #21429947C2semidirect
10. #21429940C2semidirect
11. #21428353C2semidirect
12. #21428226C2semidirect
13. #21428033C2semidirect
14. #21427990C2semidirect
15. #21427982C2semidirect
16. #21427927C2semidirect
17. #21427851C2semidirect
18. #21427836C2semidirect
19. #21427763C2semidirect
20. #21427639C2semidirect
21. #21427631C2semidirect
22. #21427563C2semidirect
23. #21427465C2semidirect
24. #21427465C2semidirect
25. #21427405C2semidirect
26. #21426800C2semidirect
27. #21426755C2semidirect
28. #21426728C2semidirect
29. C4×#14273697C2semidirect
30. #386×D59C2semidirect
31. C59×#2467C2semidirect
35. C23×C4×D59C22semidirect
37. C2×#14273722C22semidirect
38. C2×#14273715C22semidirect
39. C2×#14273713C22semidirect
40. C2×#14273712C22semidirect
41. C2×#14273709C22semidirect
42. C2×#14273709C22semidirect
43. C2×#14273705C22semidirect
44. C2×#14273705C22semidirect
47. C2×#14273702C22semidirect
48. C2×#14273701C22semidirect
51. C2×#14273700C22semidirect
55. C2×#14273697C22semidirect
56. C2×#14273697C22semidirect
60. C2×C4×D236C22semidirect
61. C2×C4×D236C22semidirect
62. C2×D4×Dic59C22semidirect
65. C2×C4×C22⋊D59C22semidirect
66. C2×C4×C22⋊D59C22semidirect
68. C2×(C22⋊D59)⋊C4C22semidirect
70. C2×C4⋊C4×D59C22semidirect
73. C2×C22⋊C4×D59C22semidirect
74. C2×C22⋊C4×D59C22semidirect
75. C2×C22⋊C4×D59C22semidirect
76. C2×C42×D59C22semidirect
77. #16837341C22semidirect
78. #16837340C22semidirect
79. #16837339C22semidirect
80. #16837332C22semidirect
81. #16837331C22semidirect
82. #16837329C22semidirect
83. #16837327C22semidirect
84. #16837325C22semidirect
85. #16837325C22semidirect
86. #16837325C22semidirect
87. #16837325C22semidirect
88. #16837320C22semidirect
89. #16837319C22semidirect
90. #16837319C22semidirect
91. #16837318C22semidirect
92. #16837317C22semidirect
93. #16837317C22semidirect
94. #16837317C22semidirect
95. #16837314C22semidirect
96. #16837314C22semidirect
98. #16837311C22semidirect
99. #16837311C22semidirect
102. #16837310C22semidirect
103. #16837310C22semidirect
104. #16837310C22semidirect
105. #16837306C22semidirect
106. #16837302C22semidirect
107. #16837302C22semidirect
108. #16837296C22semidirect
109. #16837296C22semidirect
110. #16837293C22semidirect
111. #16837293C22semidirect
112. #16837293C22semidirect
113. #16837293C22semidirect
114. #16837292C22semidirect
115. #16837292C22semidirect
116. #16837291C22semidirect
117. #16837291C22semidirect
118. #16837289C22semidirect
119. #16837288C22semidirect
120. #16837286C22semidirect
121. #16837284C22semidirect
122. #16837282C22semidirect
123. #16837282C22semidirect
124. #16837281C22semidirect
131. #16837280C22semidirect
132. #16837280C22semidirect
133. #16837280C22semidirect
134. #16837280C22semidirect
135. #16837280C22semidirect
136. #16837280C22semidirect
137. #16837279C22semidirect
138. #16837279C22semidirect
139. #16837279C22semidirect
140. #16837279C22semidirect
147. #16837278C22semidirect
148. #16837277C22semidirect
149. #16837277C22semidirect
150. #16837276C22semidirect
151. #16837276C22semidirect
152. #16837276C22semidirect
153. #16837276C22semidirect
154. #16837276C22semidirect
155. #16837275C22semidirect
156. #16837273C22semidirect
157. #16837273C22semidirect
158. #16837273C22semidirect
159. #16837273C22semidirect
160. #16837269C22semidirect
161. #16837266C22semidirect
162. #16837264C22semidirect
163. #16837264C22semidirect
164. #16837259C22semidirect
165. #16837259C22semidirect
166. #16837259C22semidirect
168. #16837257C22semidirect
169. #16837257C22semidirect
170. C4×(C2×D59)⋊C4C22semidirect
171. C4×(C2×D59)⋊C4C22semidirect
172. #95×D59C22semidirect
173. #95×D59C22semidirect
174. C2×#126×C59C22semidirect
175. C2×C4×D4×C59C22semidirect
176. C59×#399C22semidirect
177. C59×#394C22semidirect
178. C59×#394C22semidirect
180. C59×#390C22semidirect
181. C59×#388C22semidirect
182. C59×#388C22semidirect
183. C59×#387C22semidirect
184. C59×#387C22semidirect
185. C59×#386C22semidirect
186. C59×#386C22semidirect
187. C59×#380C22semidirect
188. C4×C22⋊C4×C59C22semidirect
262. #14273689D4semidirect
560. C2×C4×D59C2×D4semidirect
569. C4⋊C4×C59C2×D4semidirect
628. (C2×D59)⋊C4C2×D4semidirect
646. C4×Dic59C2×D4semidirect
897. C2×D59#538semidirect
933. #2467D59semidirect
973. C2×#126C2×D59semidirect
1006. C2×C4×D4C2×D59semidirect
1017. #399C2×D59semidirect
1033. #394C2×D59semidirect
1034. #394C2×D59semidirect
1049. #390C2×D59semidirect
1060. #388C2×D59semidirect
1061. #388C2×D59semidirect
1066. #387C2×D59semidirect
1067. #387C2×D59semidirect
1094. #386C2×D59semidirect
1095. #386C2×D59semidirect
1115. #380C2×D59semidirect
1121. C4×C22⋊C4C2×D59semidirect
1124. C59#34990semidirect
1519. C4⋊C4D4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168379912
C2×C4×D4×D592
#214324142
#214323942
#214323872
#214323792
#214299922
#214299862
#214299472
#214299402
#214283532
#214282262
#214280332
#214279902
#214279822
#214279272
#214278512
#214278362
#214277632
#214276392
#214276312
#214275632
#214274652
#214274052
#214268002
#214267552
#214267282
C4×#142736972
#386×D592
C59×#24672
#3499059