Finite Group Databasebeta

← #28758880

Subgroups — #28758880

Order 15104.

2804 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837935C211yesmaximal, characteristic, complemented
2C2×#16837912C211yesmaximal, characteristic, complemented
3#21429240C211yesmaximal, characteristic, complemented
4#21429212C211yesmaximal, characteristic, complemented
5#21429189C211yesmaximal, characteristic, complemented
6#21429186C211yesmaximal, characteristic, complemented
7#21429169C211yesmaximal, characteristic, complemented
8#21429162C211yesmaximal, characteristic, complemented
9#21429139C211yesmaximal, characteristic, complemented
10#21429106C211yesmaximal, characteristic, complemented
11#21429055C211yesmaximal, characteristic, complemented
12#21429025C211yesmaximal, characteristic, complemented
13#21428984C211yesmaximal, characteristic, complemented
14#21428423C211yesmaximal, characteristic, complemented
15#21428217C211yesmaximal, characteristic, complemented
16#21427648C211yesmaximal, characteristic, complemented
17#21427633C211yesmaximal, characteristic, complemented
18#21427369C211yesmaximal, characteristic, complemented
19#21427352C211yesmaximal, characteristic, complemented
20#21427335C211yesmaximal, characteristic, complemented
21#21427310C211yesmaximal, characteristic, complemented
22#21426643C211yesmaximal, characteristic, complemented
23#21426623C211yesmaximal, characteristic, complemented
24#21426608C211yesmaximal, characteristic, complemented
25#21426606C211yesmaximal, characteristic, complemented
26#21426597C211yesmaximal, characteristic, complemented
27#21426581C211yesmaximal, characteristic, complemented
28#21426554C211yesmaximal, characteristic, complemented
29C4×(C22⋊D59)⋊C4C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D59C211yesmaximal, characteristic, complemented
31C59×#2559C211yesmaximal, characteristic, complemented
32C22×#11745687C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34#16837935—28no—
35C2×#14273721C2211yescharacteristic, complemented
36C2×#14273717C2211yescharacteristic, complemented
37C2×#14273714C2211yescharacteristic
38C2×#14273713C2211yescharacteristic, complemented
39#16837912—28no—
40C2×#14273712C2211yescharacteristic
41C2×#14273709C2211yescharacteristic
42C2×#14273709C2211yescharacteristic
43C2×#14273709C2211yescharacteristic
44C2×#14273709C2211yescharacteristic
45C2×#14273707C2211yescharacteristic
46C2×#14273706C2211yescharacteristic
47C2×#14273705C2211yescharacteristic
48C2×#14273700C2211yescharacteristic
49C2×#14273700C2211yescharacteristic
50C2×#14273699C2211yescharacteristic
51C2×#14273698C2211yescharacteristic
52C2×#14273697C2211yescharacteristic
53C2×#14273695C2211yescharacteristic
54C2×#14273695C2211yescharacteristic
55C2×#14273692C2211yescharacteristic, complemented
56C2×D4×Dic59C2211yescharacteristic
57C2×D4×Dic59C2211yescharacteristic
58C2×#14273689C2211yescharacteristic
59C2×#14273689C2211yescharacteristic
60C2×C4×C22⋊D59C2211yescharacteristic
61C2×(C22⋊D59)⋊C4C2211yescharacteristic
62C2×(C22⋊D59)⋊C4C2211yescharacteristic
63C2×(C22⋊D59)⋊C4C2211yescharacteristic
64C2×(C22⋊D59)⋊C4C2211yescharacteristic
65C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
66C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
67C2×#14273685C2211yescharacteristic
68C2×#14273685C2211yescharacteristic, complemented
69C2×#14273683C2211yescharacteristic, complemented
70C2×C22⋊C4×D59C2211yescharacteristic
71C2×C22⋊C4×D59C2211yescharacteristic
72C22×C4×Dic59C2211yescharacteristic, complemented
73C2×C42×D59C2211yescharacteristic
74C2×C42×D59C2211yescharacteristic
75#16837344C2211yescharacteristic, complemented
76#16837338C2211yescharacteristic
77#16837337C2211yescharacteristic
78#16837336C2211yescharacteristic, complemented
79#16837336C2211yescharacteristic, complemented
80#16837335C2211yescharacteristic, complemented
81#16837332C2211yescharacteristic, complemented
82#16837330C2211yescharacteristic
83#16837330C2211yescharacteristic, complemented
84#16837329C2211yescharacteristic, complemented
85#16837327C2211yescharacteristic, complemented
86#16837326C2211yescharacteristic
87#16837326C2211yescharacteristic
88#16837325C2211yescharacteristic
89#16837325C2211yescharacteristic, complemented
90#16837322C2211yescharacteristic, complemented
91#16837322C2211yescharacteristic, complemented
92#16837317C2211yescharacteristic
93#16837317C2211yescharacteristic
94#16837317C2211yescharacteristic
95#16837317C2211yescharacteristic, complemented
96#16837316C2211yescharacteristic
97#16837315C2211yescharacteristic
98#16837315C2211yescharacteristic, complemented
99#16837311C2211yescharacteristic
100#16837311C2211yescharacteristic
101#16837310C2211yescharacteristic
102#16837310C2211yescharacteristic, complemented
103#16837308C2211yescharacteristic, complemented
104#16837306C2211yescharacteristic, complemented
105#16837306C2211yescharacteristic, complemented
106#16837304C2211yescharacteristic
107#16837303C2211yescharacteristic
108#16837302C2211yescharacteristic
109#16837302C2211yescharacteristic
110#16837302C2211yescharacteristic
111#16837302C2211yescharacteristic, complemented
112#16837301C2211yescharacteristic, complemented
113#16837299C2211yescharacteristic, complemented
114#16837297C2211yescharacteristic, complemented
115#16837294C2211yescharacteristic
116#16837294C2211yescharacteristic, complemented
117#16837294C2211yescharacteristic, complemented
118#16837293C2211yescharacteristic, complemented
119#16837292C2211yescharacteristic
120#16837292C2211yescharacteristic, complemented
121#16837290C2211yescharacteristic
122#16837290C2211yescharacteristic
123#16837290C2211yescharacteristic
124#16837290C2211yescharacteristic, complemented
125#16837290C2211yescharacteristic, complemented
126#16837290C2211yescharacteristic, complemented
127#16837287C2211yescharacteristic, complemented
128#16837286C2211yescharacteristic, complemented
129#16837282C2211yescharacteristic, complemented
130#16837281C2211yescharacteristic
131#16837281C2211yescharacteristic
132#16837281C2211yescharacteristic, complemented
133#16837280C2211yescharacteristic
134#16837280C2211yescharacteristic
135#16837280C2211yescharacteristic
136#16837279C2211yescharacteristic
137#16837278C2211yescharacteristic
138#16837278C2211yescharacteristic
139#16837273C2211yescharacteristic
140#16837273C2211yescharacteristic
141#16837273C2211yescharacteristic
142#16837267C2211yescharacteristic, complemented
143#16837264C2211yescharacteristic
144#16837261C2211yescharacteristic
145#16837260C2211yescharacteristic, complemented
146#16837257C2211yescharacteristic
147C4⋊C4×Dic59C2211yescharacteristic, complemented
148C4×Dic59⋊C4C2211yescharacteristic, complemented
149#16837253C2211yescharacteristic, complemented
150#16837253C2211yescharacteristic, complemented
151#16837253C2211yescharacteristic, complemented
152#16837253C2211yescharacteristic, complemented
153C22⋊C4×Dic59C2211yescharacteristic
154C22⋊C4×Dic59C2211yescharacteristic
155C22⋊C4×Dic59C2211yescharacteristic
156C22⋊C4×Dic59C2211yescharacteristic, complemented
157C22⋊C4×Dic59C2211yescharacteristic, complemented
158C22⋊C4×Dic59C2211yescharacteristic, complemented
159C22⋊C4×Dic59C2211yescharacteristic, complemented
160C22⋊C4×Dic59C2211yescharacteristic, complemented
161C4×(C2×D59)⋊C4C2211yescharacteristic
162C4×(C2×D59)⋊C4C2211yescharacteristic
163C4×(C2×D59)⋊C4C2211yescharacteristic
164C4×C22⋊Dic59C2211yescharacteristic
165#16837249C2211yescharacteristic
166#16837249C2211yescharacteristic
167#16837249C2211yescharacteristic
168#16837249C2211yescharacteristic
169#16837249C2211yescharacteristic
170#16837249C2211yescharacteristic, complemented
171#95×D59C2211yescharacteristic
172#95×D59C2211yescharacteristic
173C42×Dic59C2211yescharacteristic, complemented
174C2×#126×C59C2211yescharacteristic, complemented
175C2×#121×C59C2211yescharacteristic
176C59×#400C2211yescharacteristic, complemented
177C59×#394C2211yescharacteristic
178C59×#394C2211yescharacteristic
179C59×#394C2211yescharacteristic, complemented
180C59×#390C2211yescharacteristic
181C59×#389C2211yescharacteristic, complemented
182C59×#388C2211yescharacteristic, complemented
183C59×#388C2211yescharacteristic, complemented
184C59×#386C2211yescharacteristic
185C59×#386C2211yescharacteristic, complemented
186C59×#385C2211yescharacteristic
187C4×C22⋊C4×C59C2211yescharacteristic
188C4×C22⋊C4×C59C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C2×#11745687—24no—
191C2×#11745687—24no—
192C2×#11745687—42no—
193C22×Dic118C2311yescharacteristic
194C22×Dic118C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C23×Dic59C2311yescharacteristic
205C23×Dic59C2311yescharacteristic
206C23×Dic59C2311yescharacteristic
207C23×Dic59C2311yescharacteristic
208C22×C4×D59—24no—
209C22×C4×D59—24no—
210C22×C4×D59—42no—
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215C22×C4×D59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219C22×C4×D59C2311yescharacteristic
220#14273721—24no—
221#14273717—24no—
222#14273714—24no—
223#14273713—24no—
224#14273712—24no—
225#14273709—24no—
226#14273709—24no—
227#14273709—24no—
228#14273709—24no—
229#14273707—24no—
230#14273706—24no—
231#14273705—24no—
232#14273700—24no—
233#14273700—24no—
234#14273699—24no—
235#14273698—24no—
236#14273697—24no—
237#14273695—24no—
238#14273695—24no—
239#14273692—24no—
240D4×Dic59—24no—
241D4×Dic59—24no—
242#14273689—24no—
243#14273689—24no—
244C4×C22⋊D59—24no—
245(C22⋊D59)⋊C4—24no—
246(C22⋊D59)⋊C4—24no—
247(C22⋊D59)⋊C4—24no—
248(C22⋊D59)⋊C4—42no—
249(C22⋊D59)⋊C4—42no—
250(C22⋊D59)⋊C4D418yescomplemented
251#14273685—24no—
252#14273685—24no—
253#14273683—24no—
254C2×C4⋊Dic59C2311yescharacteristic
255C2×C4⋊Dic59C2311yescharacteristic
256C2×C4⋊Dic59C2311yescharacteristic
257C2×C4⋊Dic59C2311yescharacteristic
258C2×C4⋊Dic59C2311yescharacteristic
259C2×Dic59⋊C4C2311yescharacteristic
260C2×Dic59⋊C4C2311yescharacteristic
261C2×Dic59⋊C4C2311yescharacteristic
262C2×Dic59⋊C4C2311yescharacteristic
263C2×Dic59⋊C4C2311yescharacteristic
264C2×Dic59⋊C4C2311yescharacteristic
265C2×Dic59⋊C4C2311yescharacteristic
266C2×Dic59⋊C4C2311yescharacteristic
267C2×Dic59⋊C4C2311yescharacteristic
268C2×Dic59⋊C4C2311yescharacteristic
269C2×Dic59⋊C4C2311yescharacteristic
270C2×Dic59⋊C4C2311yescharacteristic
271C2×Dic59⋊C4C2311yescharacteristic
272C2×Dic59⋊C4C2311yescharacteristic
273C2×Dic59⋊C4C2311yescharacteristic
274C2×C22⋊Dic59C2311yescharacteristic
275C2×C22⋊Dic59C2311yescharacteristic
276C2×C22⋊Dic59C2311yescharacteristic
277C2×C22⋊Dic59C2311yescharacteristic
278C2×C22⋊Dic59C2311yescharacteristic
279C2×C22⋊Dic59C2311yescharacteristic
280C2×C22⋊Dic59C2311yescharacteristic
281C2×C22⋊Dic59C2311yescharacteristic
282C2×C22⋊Dic59C2311yescharacteristic
283C2×C22⋊Dic59C2311yescharacteristic
284C2×C22⋊Dic59C2311yescharacteristic
285C2×C22⋊Dic59C2311yescharacteristic
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C2×(C2×D59)⋊C4C2311yescharacteristic
288C2×(C2×D59)⋊C4C2311yescharacteristic
289C2×(C2×D59)⋊C4C2311yescharacteristic
290C2×(C2×D59)⋊C4C2311yescharacteristic
291C2×(C2×D59)⋊C4C2311yescharacteristic
292C2×(C2×D59)⋊C4C2311yescharacteristic
293C2×(C2×D59)⋊C4C2311yescharacteristic
294C2×(C2×D59)⋊C4C2311yescharacteristic
295C2×(C2×D59)⋊C4C2311yescharacteristic
296C2×(C2×D59)⋊C4C2311yescharacteristic
297C2×(C2×D59)⋊C4C2311yescharacteristic
298C2×(C2×D59)⋊C4C2311yescharacteristic
299C2×(C2×D59)⋊C4C2311yescharacteristic
300C2×(C2×D59)⋊C4C2311yescharacteristic
301C2×(C2×D59)⋊C4C2311yescharacteristic
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C2×(C2×D59)⋊C4C2311yescharacteristic
304C2×(C2×D59)⋊C4C2311yescharacteristic
305C2×(C2×D59)⋊C4C2311yescharacteristic
306C2×(C2×D59)⋊C4C2311yescharacteristic
307C2×(C2×D59)⋊C4C2311yescharacteristic
308C2×(C2×D59)⋊C4C2311yescharacteristic
309C22⋊C4×D59—24no—
310C22⋊C4×D59—24no—
311C2×C4×Dic59—42no—
312C2×C4×Dic59C2311yescharacteristic
313C2×C4×Dic59C2311yescharacteristic
314C2×C4×Dic59C2311yescharacteristic
315C2×C4×Dic59C2311yescharacteristic
316C2×C4×Dic59C2311yescharacteristic
317C2×C4×Dic59C2311yescharacteristic
318C2×C4×Dic59C2311yescharacteristic
319C2×C4×Dic59C2311yescharacteristic
320C2×C4×Dic59C2311yescharacteristic
321C2×C4×Dic59C2311yescharacteristic
322C2×C4×Dic59C2311yescharacteristic
323C2×C4×Dic59C2311yescharacteristic
324C2×C4×Dic59C2311yescharacteristic
325C2×C4×Dic59C2311yescharacteristic
326C2×C4×Dic59C2311yescharacteristic
327C2×C4×Dic59C2311yescharacteristic
328C42×D59—24no—
329C42×D59—42no—
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C59⋊#95C2311yescharacteristic
339C59⋊#95C2311yescharacteristic
340C59⋊#95C2311yescharacteristic
341C59⋊#95C2311yescharacteristic
342C59⋊#95C2311yescharacteristic
343C59⋊#95C2311yescharacteristic
344C59⋊#95C2311yescharacteristic
345C59⋊#95C2311yescharacteristic
346C59⋊#95C2311yescharacteristic
347C59⋊#95C2311yescharacteristic
348C59⋊#95C2311yescharacteristic
349C59⋊#95C2311yescharacteristic
350C59⋊#95C2311yescharacteristic
351C59⋊#95C2311yescharacteristic
352C59⋊#95C2311yescharacteristic
353C59⋊#95C2311yescharacteristic
354C22×D4×C59C2311yescharacteristic
355C22×D4×C59C2311yescharacteristic
356C22×D4×C59C2311yescharacteristic
357C23×C4×C59C2311yescharacteristic
358C23×C4×C59C2311yescharacteristic
359#126×C59—24no—
360#121×C59—24no—
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×C22⋊C4×C59C2311yescharacteristic
368C2×C22⋊C4×C59C2311yescharacteristic
369C2×C22⋊C4×C59C2311yescharacteristic
370C2×C22⋊C4×C59C2311yescharacteristic
371C2×C22⋊C4×C59C2311yescharacteristic
372C2×C22⋊C4×C59C2311yescharacteristic
373C2×C22⋊C4×C59C2311yescharacteristic
374C2×C22⋊C4×C59C2311yescharacteristic
375C2×C22⋊C4×C59C2311yescharacteristic
376C2×C22⋊C4×C59C2311yescharacteristic
377C2×C22⋊C4×C59C2311yescharacteristic
378C2×C22⋊C4×C59C2311yescharacteristic
379C2×C22⋊C4×C59C2311yescharacteristic
380C2×C42×C59C2311yescharacteristic
381C2×C42×C59C2311yescharacteristic
382C2×C42×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
393C24×C59C2411yescharacteristic
394C23×D59—22no—
395C23×D59—22no—
396C23×D59—22no—
397C23×D59—22no—
398C23×D59—22no—
399C23×D59—41no—
400C23×D59—41no—
401C23×D59C2411yescharacteristic
402C23×D59C2411yescharacteristic
403C23×D59C2411yescharacteristic
404C2×D4×C59—22no—
405C2×D4×C59—22no—
406C2×D4×C59—22no—
407C2×D4×C59—22no—
408C2×D4×C59—22no—
409C2×D4×C59—22no—
410C2×D4×C59—41no—
411C2×D4×C59—41no—
412C2×D4×C59—41no—
413C22×C4×C59—22no—
414C22×C4×C59—22no—
415C22×C4×C59—22no—
416C22×C4×C59—41no—
417C22×C4×C59—41no—
418C22×C4×C59—41no—
419C22×C4×C59C2411yescharacteristic
420C22×C4×C59C2411yescharacteristic
421C22×C4×C59C2411yescharacteristic
422C22×C4×C59C2411yescharacteristic
423C22×C4×C59C2411yescharacteristic
424C22×C4×C59C2411yescharacteristic
425C22×C4×C59C2411yescharacteristic
426C22×C4×C59C2411yescharacteristic
427C22×C4×C59C2411yescharacteristic
428C22×C4×C59C2411yescharacteristic
429C22×C4×C59C2411yescharacteristic
430C22×C4×C59C2411yescharacteristic
431C2×C22⋊D59—22no—
432C2×C22⋊D59—22no—
433C2×C22⋊D59—22no—
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—22no—
443C2×C22⋊D59—22no—
444C2×C22⋊D59—22no—
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⋊D59C2×D414yes—
452C22×Dic59—22no—
453C22×Dic59—22no—
454C22×Dic59—22no—
455C22×Dic59—22no—
456C22×Dic59—22no—
457C22×Dic59—22no—
458C22×Dic59—22no—
459C22×Dic59—22no—
460C22×Dic59—22no—
461C22×Dic59—22no—
462C22×Dic59—41no—
463C22×Dic59C2×D414yes—
464C22×Dic59C2411yescharacteristic
465C22×Dic59C2411yescharacteristic
466C22×Dic59C2411yescharacteristic
467C22×Dic59C2411yescharacteristic
468C22×Dic59C2411yescharacteristic
469C22×Dic59C2411yescharacteristic
470C22×Dic59C2411yescharacteristic
471C22×Dic59C2411yescharacteristic
472C22×Dic59C2411yescharacteristic
473C22×Dic59C2411yescharacteristic
474C22×Dic59C2411yescharacteristic
475C22×Dic59C2411yescharacteristic
476C22×Dic59C2411yescharacteristic
477#11745687—416no—
478C2×D236—22no—
479C2×D236—22no—
480C2×D236—22no—
481C2×D236—22no—
482C2×D236—22no—
483C2×D236—41no—
484C2×C4×D59—22no—
485C2×C4×D59—22no—
486C2×C4×D59—22no—
487C2×C4×D59—22no—
488C2×C4×D59—22no—
489C2×C4×D59—22no—
490C2×C4×D59—22no—
491C2×C4×D59—22no—
492C2×C4×D59—22no—
493C2×C4×D59—22no—
494C2×C4×D59—22no—
495C2×C4×D59—22no—
496C2×C4×D59—22no—
497C2×C4×D59—22no—
498C2×C4×D59—22no—
499C2×C4×D59—22no—
500C2×C4×D59—22no—
501C2×C4×D59—22no—
502C2×C4×D59—416no—
503C2×C4×D59—41no—
504C2×C4×D59—41no—
505C2×C4×D59—41no—
506C2×C4×D59—41no—
507C2×C4×D59—41no—
508C2×C4×D59—41no—
509C2×C4×D59C2×D414yes—
510C2×C4×D59#4114yes—
511C2×C4×D59#4114yescomplemented
512C2×Dic118—22no—
513C2×Dic118—22no—
514C2×Dic118—22no—
515C2×Dic118—22no—
516C2×Dic118—41no—
517C2×Dic118—41no—
518C4⋊C4×C59—22no—
519C4⋊C4×C59—22no—
520C4⋊C4×C59—22no—
521C4⋊C4×C59—22no—
522C4⋊C4×C59—22no—
523C4⋊C4×C59—41no—
524C22⋊C4×C59—22no—
525C22⋊C4×C59—22no—
526C22⋊C4×C59—22no—
527C22⋊C4×C59—22no—
528C22⋊C4×C59—22no—
529C22⋊C4×C59—22no—
530C22⋊C4×C59—22no—
531C22⋊C4×C59—22no—
532C22⋊C4×C59—22no—
533C22⋊C4×C59—41no—
534C22⋊C4×C59—41no—
535C22⋊C4×C59—41no—
536C22⋊C4×C59C2×D414yes—
537C42×C59—22no—
538C42×C59—41no—
539C42×C59—41no—
540C22⋊Dic59—22no—
541C22⋊Dic59—22no—
542C22⋊Dic59—22no—
543C22⋊Dic59—22no—
544C22⋊Dic59—22no—
545C22⋊Dic59—22no—
546C22⋊Dic59—22no—
547C22⋊Dic59—22no—
548C22⋊Dic59—22no—
549C22⋊Dic59—22no—
550C22⋊Dic59—22no—
551C22⋊Dic59#4114yescomplemented
552(C2×D59)⋊C4—22no—
553(C2×D59)⋊C4—22no—
554(C2×D59)⋊C4—22no—
555(C2×D59)⋊C4—22no—
556(C2×D59)⋊C4—22no—
557(C2×D59)⋊C4—22no—
558(C2×D59)⋊C4—22no—
559(C2×D59)⋊C4—22no—
560(C2×D59)⋊C4—22no—
561(C2×D59)⋊C4—22no—
562(C2×D59)⋊C4—22no—
563(C2×D59)⋊C4—22no—
564(C2×D59)⋊C4—22no—
565(C2×D59)⋊C4—22no—
566(C2×D59)⋊C4—22no—
567(C2×D59)⋊C4—22no—
568(C2×D59)⋊C4—22no—
569(C2×D59)⋊C4—22no—
570(C2×D59)⋊C4—41no—
571(C2×D59)⋊C4—41no—
572(C2×D59)⋊C4—41no—
573(C2×D59)⋊C4C2×D414yes—
574(C2×D59)⋊C4#4114yescomplemented
575C4⋊Dic59—22no—
576C4⋊Dic59—22no—
577C4⋊Dic59—22no—
578C4⋊Dic59—22no—
579C4⋊Dic59—22no—
580Dic59⋊C4—22no—
581Dic59⋊C4—22no—
582Dic59⋊C4—22no—
583Dic59⋊C4—22no—
584Dic59⋊C4—22no—
585Dic59⋊C4—22no—
586Dic59⋊C4—22no—
587Dic59⋊C4—22no—
588Dic59⋊C4—22no—
589Dic59⋊C4—22no—
590Dic59⋊C4—22no—
591Dic59⋊C4—41no—
592Dic59⋊C4—41no—
593Dic59⋊C4—41no—
594Dic59⋊C4C2×D414yes—
595C4×Dic59—22no—
596C4×Dic59—22no—
597C4×Dic59—22no—
598C4×Dic59—22no—
599C4×Dic59—22no—
600C4×Dic59—22no—
601C4×Dic59—22no—
602C4×Dic59—22no—
603C4×Dic59—22no—
604C4×Dic59—22no—
605C4×Dic59—22no—
606C4×Dic59—22no—
607C4×Dic59—41no—
608C4×Dic59—41no—
609C4×Dic59—41no—
610C4×Dic59C2×D414yes—
611C23×C59—21no—
612C23×C59—21no—
613C23×C59—21no—
614C23×C59—21no—
615C23×C59—21no—
616C23×C59—21no—
617C23×C59—21no—
618C23×C59—21no—
619C23×C59—21no—
620C23×C59—21no—
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×C59C22×D412yes—
631C23×C59C2×#4112yes—
632C23×C59C2511yescharacteristic
633C22×D59—21no—
634C22×D59—21no—
635C22×D59—21no—
636C22×D59—21no—
637C22×D59—28no—
638C22×D59—21no—
639C22×D59—21no—
640C22×D59—21no—
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—44no—
652C22×D59—44no—
653C22×D59—44no—
654C22×D59—44no—
655C22×D59—44no—
656C22×D59—44no—
657C22×D59C22×D412yes—
658C22×D59C2×#4112yes—
659C22×D59C2×#4112yes—
660C22×D59C2×#4112yes—
661D4×C59—44no—
662D4×C59—44no—
663D4×C59—44no—
664C2×C4×C59—21no—
665C2×C4×C59—21no—
666C2×C4×C59—21no—
667C2×C4×C59—21no—
668C2×C4×C59—21no—
669C2×C4×C59—21no—
670C2×C4×C59—21no—
671C2×C4×C59—21no—
672C2×C4×C59—21no—
673C2×C4×C59—21no—
674C2×C4×C59—21no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—21no—
679C2×C4×C59—21no—
680C2×C4×C59—21no—
681C2×C4×C59—21no—
682C2×C4×C59—21no—
683C2×C4×C59—21no—
684C2×C4×C59—21no—
685C2×C4×C59—21no—
686C2×C4×C59—21no—
687C2×C4×C59—21no—
688C2×C4×C59—21no—
689C2×C4×C59—21no—
690C2×C4×C59—21no—
691C2×C4×C59—21no—
692C2×C4×C59—21no—
693C2×C4×C59—21no—
694C2×C4×C59—21no—
695C2×C4×C59—44no—
696C2×C4×C59—44no—
697C2×C4×C59C22×D412yes—
698C2×C4×C59C22×D412yes—
699C2×C4×C59C2×#4112yes—
700C2×C4×C59C2×#4112yes—
701C2×C4×C59C2×#4112yes—
702C22⋊D59—28no—
703C22⋊D59—44no—
704C22⋊D59—44no—
705C22⋊D59—44no—
706C22⋊D59—44no—
707C22⋊D59—44no—
708C22⋊D59—44no—
709C2×Dic59—21no—
710C2×Dic59—21no—
711C2×Dic59—21no—
712C2×Dic59—21no—
713C2×Dic59—21no—
714C2×Dic59—21no—
715C2×Dic59—21no—
716C2×Dic59—21no—
717C2×Dic59—21no—
718C2×Dic59—21no—
719C2×Dic59—21no—
720C2×Dic59—21no—
721C2×Dic59—28no—
722C2×Dic59—21no—
723C2×Dic59—21no—
724C2×Dic59—21no—
725C2×Dic59—21no—
726C2×Dic59—21no—
727C2×Dic59—21no—
728C2×Dic59—21no—
729C2×Dic59—21no—
730C2×Dic59—21no—
731C2×Dic59—21no—
732C2×Dic59—21no—
733C2×Dic59—21no—
734C2×Dic59—21no—
735C2×Dic59—21no—
736C2×Dic59—21no—
737C2×Dic59—21no—
738C2×Dic59—21no—
739C2×Dic59—21no—
740C2×Dic59—44no—
741C2×Dic59—44no—
742C2×Dic59—44no—
743C2×Dic59C22×D412yes—
744C2×Dic59C22×D412yes—
745C2×Dic59C22×D412yes—
746C2×Dic59C2×#4112yes—
747C2×Dic59C2×#4112yes—
748C2×Dic59C2×#4112yes—
749C2×Dic59C2×#4112yes—
750C2×Dic59C2×#4112yes—
751C2×Dic59H(5,𝔽2)12yes—
752D236—44no—
753D236—44no—
754C4×D59—28no—
755C4×D59—28no—
756C4×D59—44no—
757C4×D59—44no—
758C4×D59—44no—
759C4×D59—44no—
760C4×D59—44no—
761C4×D59—44no—
762C4×D59—44no—
763Dic118—44no—
764Dic118—44no—
765#34829—591nomaximal, Sylow
766C22×C59—22no—
767C22×C59—22no—
768C22×C59—22no—
769C22×C59—22no—
770C22×C59—22no—
771C22×C59—22no—
772C22×C59—41no—
773C22×C59—41no—
774C22×C59—41no—
775C22×C59—41no—
776C22×C59—41no—
777C22×C59—41no—
778C22×C59—41no—
779C22×C59—41no—
780C22×C59—41no—
781C22×C59—41no—
782C22×C59—41no—
783C22×C59—41no—
784C22×C59—41no—
785C22×C59—41no—
786C22×C59—41no—
787C22×C59C23×D411yescharacteristic
788C22×C59C22×#4111yescharacteristic
789C22×C59C22×#4111yescharacteristic
790C22×C59C22×#4111yescharacteristic
791C22×C59C22×#4111yescharacteristic
792C22×C59C2×H(5,𝔽2)11yescharacteristic
793C22×C59#58511yescharacteristic
794C2×D59—22no—
795C2×D59—22no—
796C2×D59—22no—
797C2×D59—22no—
798C2×D59—22no—
799C2×D59—22no—
800C2×D59—22no—
801C2×D59—22no—
802C2×D59—22no—
803C2×D59—416no—
804C2×D59—41no—
805C2×D59—41no—
806C2×D59—41no—
807C2×D59—41no—
808C2×D59—41no—
809C2×D59—41no—
810C2×D59—41no—
811C2×D59—41no—
812C2×D59—41no—
813C2×D59—41no—
814C2×D59—41no—
815C2×D59#53214yes—
816C4×C59—22no—
817C4×C59—22no—
818C4×C59—22no—
819C4×C59—22no—
820C4×C59—22no—
821C4×C59—41no—
822C4×C59—41no—
823C4×C59—41no—
824C4×C59—41no—
825C4×C59—41no—
826C4×C59—41no—
827C4×C59—41no—
828Dic59—22no—
829Dic59—22no—
830Dic59—22no—
831Dic59—22no—
832Dic59—22no—
833Dic59—22no—
834Dic59—41no—
835Dic59—41no—
836Dic59—41no—
837Dic59—41no—
838Dic59—41no—
839Dic59—41no—
840Dic59#54614yes—
841C2×#529—591no—
842C2×#525—591no—
843#2560—591no—
844#2559D5911yescharacteristic, complemented
845#2558—591no—
846#2557—591no—
847#2556—591no—
848#2555—591no—
849#2554—591no—
850#2553—591no—
851#2549—591no—
852#2543—591no—
853#2539—591no—
854#2534—591no—
855#2488—591no—
856#2472—591no—
857#2425—591no—
858#2424—591no—
859#2396—591no—
860#2395—591no—
861#2392—591no—
862#2388—591no—
863C4×#124—591no—
864C4×#123—591no—
865C4×#121—591no—
866C4×#121—591no—
867C4×#120—591no—
868#2297—591no—
869#2293—591no—
870C42×D4—591no—
871C2×C4×C22⋊C4—591no—
872C2×C59—42no—
873C2×C59—42no—
874C2×C59—81no—
875C2×C59C2×#53211yescharacteristic
876C2×C59#344411yescharacteristic
877C2×C59#345911yescharacteristic
878C2×C59C2×#54611yescharacteristic
879C2×C59D4×#4111yescharacteristic
880C2×C59#347511yescharacteristic
881C2×C59#348111yescharacteristic
882D59—24no—
883D59—42no—
884D59—81no—
885C22×#41—591no—
886C24×C4—591no—
887#529—1188no—
888C2×#126—591no—
889C2×#126C2×D5911yescharacteristic, complemented
890C2×#125—591no—
891C2×#124—591no—
892C2×#124—591no—
893#525—1188no—
894C2×#123—591no—
895C2×#123—591no—
896C2×#123—591no—
897C2×#123—591no—
898C2×#123—591no—
899C2×C22⋊Q8—591no—
900C2×C22⋊Q8—591no—
901C2×C22⋊Q8—591no—
902C2×#121—591no—
903C2×#121—591no—
904C2×#121—591no—
905C2×#121—591no—
906C2×#121C2×D5911yescharacteristic
907C2×#120—591no—
908C2×#120—591no—
909C2×#120—591no—
910C2×C4×Q8—591no—
911C2×C4×D4—591no—
912C2×C4×D4—591no—
913C2×C4×D4—591no—
914C2×C4×D4—591no—
915C2×C4×D4—591no—
916C2×C4×D4—591no—
917C2×C4×D4—591no—
918C2×C4×D4—591no—
919C2×C4×D4—591no—
920C2×C4×D4—591no—
921C2×C4×D4—591no—
922C2×#117—591no—
923C2×#117—591no—
924C2×#117—591no—
925C22×C22⋊C4—591no—
926C22×C22⋊C4—591no—
927C22×C42—591no—
928C22×C42—591no—
929C22×C42—591no—
930#400—591no—
931#400C2×D5911yescharacteristic, complemented
932#399—591no—
933#399—591no—
934#398—591no—
935#398—591no—
936#398—591no—
937#398—591no—
938#397—591no—
939#397—591no—
940#397—591no—
941#397—591no—
942#396—591no—
943#396—591no—
944#396—591no—
945#396—591no—
946#395—591no—
947#395—591no—
948#394—591no—
949#394—591no—
950#394—591no—
951#394—591no—
952#394—591no—
953#394C2×D5911yescharacteristic
954#394C2×D5911yescharacteristic
955#394C2×D5911yescharacteristic, complemented
956#393—591no—
957#393—591no—
958#392—591no—
959#392—591no—
960#392—591no—
961#392—591no—
962#391—591no—
963#391—591no—
964#391—591no—
965#390—591no—
966#390—591no—
967#390—591no—
968#390—591no—
969#390—591no—
970#390—591no—
971#390C2×D5911yescharacteristic
972#389—591no—
973#389—591no—
974#389—591no—
975#389C2×D5911yescharacteristic, complemented
976#388—591no—
977#388—591no—
978#388—591no—
979#388—591no—
980#388—591no—
981#388—591no—
982#388—591no—
983#388—591no—
984#388—591no—
985#388—591no—
986#388—591no—
987#388—591no—
988#388C2×D5911yescharacteristic, complemented
989#388C2×D5911yescharacteristic, complemented
990#387—591no—
991#387—591no—
992#386—591no—
993#386—591no—
994#386—591no—
995#386—591no—
996#386—591no—
997#386—591no—
998#386—591no—
999#386—591no—
1000#386—591no—
1001#386—591no—
1002#386C2×D5911yescharacteristic
1003#386C2×D5911yescharacteristic, complemented
1004#385—591no—
1005#385—591no—
1006#385—591no—
1007#385C2×D5911yescharacteristic
1008#382—591no—
1009#381—591no—
1010#380—591no—
1011#380—591no—
1012#379—591no—
1013C4×C4⋊C4—591no—
1014C4×C4⋊C4—591no—
1015C4×C4⋊C4—591no—
1016C4×C4⋊C4—591no—
1017C4×C4⋊C4—591no—
1018C4×C4⋊C4—591no—
1019C4×C22⋊C4—591no—
1020C4×C22⋊C4—591no—
1021C4×C22⋊C4—591no—
1022C4×C22⋊C4—591no—
1023C4×C22⋊C4—591no—
1024C4×C22⋊C4—591no—
1025C4×C22⋊C4—591no—
1026C4×C22⋊C4—591no—
1027C4×C22⋊C4—591no—
1028C4×C22⋊C4—591no—
1029C4×C22⋊C4—591no—
1030C4×C22⋊C4—591no—
1031C4×C22⋊C4—591no—
1032C4×C22⋊C4—591no—
1033C4×C22⋊C4—591no—
1034C4×C22⋊C4—591no—
1035C4×C22⋊C4—591no—
1036C4×C22⋊C4—591no—
1037C4×C22⋊C4C2×D5911yescharacteristic
1038C4×C22⋊C4C2×D5911yescharacteristic, complemented
1039C2×#95—591no—
1040C2×#95—591no—
1041C43—591no—
1042C59#3482911yescharacteristic, complemented, Sylow
1043C25—591no—
1044C2×#41—1184no—
1045C2×#41—1184no—
1046C2×#41—2362no—
1047C22×Q8—591no—
1048C22×Q8—591no—
1049C22×D4—591no—
1050C22×D4—591no—
1051C22×D4—591no—
1052C22×D4—591no—
1053C22×D4—591no—
1054C22×D4—591no—
1055C22×D4—591no—
1056C22×D4—591no—
1057C22×D4—591no—
1058C22×D4C22×D5911yescharacteristic
1059C22×D4C22×D5911yescharacteristic
1060C22×D4C22×D5911yescharacteristic
1061C23×C4—591no—
1062C23×C4—591no—
1063C23×C4—591no—
1064C23×C4—591no—
1065C23×C4—591no—
1066C23×C4—591no—
1067C23×C4—591no—
1068C23×C4—591no—
1069C23×C4—591no—
1070C23×C4—591no—
1071C23×C4—591no—
1072C23×C4—591no—
1073C23×C4—591no—
1074C23×C4—1184no—
1075C23×C4—1184no—
1076C23×C4—2362no—
1077C23×C4C22×D5911yescharacteristic
1078C23×C4C22×D5911yescharacteristic
1079#126—24no—
1080#126—1184no—
1081#125—1184no—
1082#124—1184no—
1083#124—1184no—
1084#123—1184no—
1085#123—1184no—
1086#123—1184no—
1087#123—1184no—
1088#123—1184no—
1089C22⋊Q8—1184no—
1090C22⋊Q8—1184no—
1091C22⋊Q8—1184no—
1092#121—24no—
1093#121—1184no—
1094#121—1184no—
1095#121—1184no—
1096#121—1184no—
1097#120—1184no—
1098#120—1184no—
1099#120—1184no—
1100C4×Q8—1184no—
1101C4×D4—598no—
1102C4×D4—1184no—
1103C4×D4—1184no—
1104C4×D4—1184no—
1105C4×D4—1184no—
1106C4×D4—1184no—
1107C4×D4—1184no—
1108C4×D4—1184no—
1109C4×D4—1184no—
1110C4×D4—2362no—
1111C4×D4—2362no—
1112#117—1184no—
1113#117—1184no—
1114#117—1184no—
1115C2×C4⋊C4—591no—
1116C2×C4⋊C4—591no—
1117C2×C4⋊C4—591no—
1118C2×C4⋊C4—591no—
1119C2×C4⋊C4—591no—
1120C2×C4⋊C4—591no—
1121C2×C4⋊C4—591no—
1122C2×C4⋊C4—591no—
1123C2×C4⋊C4—591no—
1124C2×C4⋊C4—591no—
1125C2×C4⋊C4—591no—
1126C2×C4⋊C4—591no—
1127C2×C4⋊C4—591no—
1128C2×C4⋊C4—591no—
1129C2×C4⋊C4—591no—
1130C2×C4⋊C4—591no—
1131C2×C4⋊C4—591no—
1132C2×C4⋊C4—591no—
1133C2×C4⋊C4—591no—
1134C2×C4⋊C4—591no—
1135C2×C4⋊C4C22×D5911yescharacteristic
1136C2×C4⋊C4C22×D5911yescharacteristic
1137C2×C4⋊C4C22×D5911yescharacteristic
1138C2×C4⋊C4C22×D5911yescharacteristic
1139C2×C4⋊C4C22×D5911yescharacteristic
1140C2×C4⋊C4C22×D5911yescharacteristic
1141C2×C22⋊C4—591no—
1142C2×C22⋊C4—591no—
1143C2×C22⋊C4—591no—
1144C2×C22⋊C4—591no—
1145C2×C22⋊C4—591no—
1146C2×C22⋊C4—591no—
1147C2×C22⋊C4—591no—
1148C2×C22⋊C4—591no—
1149C2×C22⋊C4—591no—
1150C2×C22⋊C4—591no—
1151C2×C22⋊C4—591no—
1152C2×C22⋊C4—591no—
1153C2×C22⋊C4—591no—
1154C2×C22⋊C4—591no—
1155C2×C22⋊C4—591no—
1156C2×C22⋊C4—591no—
1157C2×C22⋊C4—591no—
1158C2×C22⋊C4—591no—
1159C2×C22⋊C4—591no—
1160C2×C22⋊C4—591no—
1161C2×C22⋊C4—591no—
1162C2×C22⋊C4—591no—
1163C2×C22⋊C4—591no—
1164C2×C22⋊C4—591no—
1165C2×C22⋊C4—591no—
1166C2×C22⋊C4—591no—
1167C2×C22⋊C4—591no—
1168C2×C22⋊C4—591no—
1169C2×C22⋊C4—591no—
1170C2×C22⋊C4—591no—
1171C2×C22⋊C4—591no—
1172C2×C22⋊C4—591no—
1173C2×C22⋊C4—591no—
1174C2×C22⋊C4—591no—
1175C2×C22⋊C4—591no—
1176C2×C22⋊C4—1184no—
1177C2×C22⋊C4—1184no—
1178C2×C22⋊C4C22×D5911yescharacteristic
1179C2×C22⋊C4C22×D5911yescharacteristic
1180C2×C22⋊C4C22×D5911yescharacteristic
1181C2×C22⋊C4C22×D5911yescharacteristic
1182C2×C22⋊C4C22×D5911yescharacteristic
1183C2×C22⋊C4C22×D5911yescharacteristic
1184C2×C22⋊C4C22×D5911yescharacteristic
1185C2×C22⋊C4C22×D5911yescharacteristic
1186C2×C22⋊C4C22×D5911yescharacteristic
1187C2×C22⋊C4C22×D5911yescharacteristic
1188C2×C22⋊C4C22×D5911yescharacteristic
1189C2×C22⋊C4C22×D5911yescharacteristic
1190C2×C22⋊C4C22×D5911yescharacteristic
1191C2×C42—591no—
1192C2×C42—591no—
1193C2×C42—591no—
1194C2×C42—591no—
1195C2×C42—591no—
1196C2×C42—591no—
1197C2×C42—591no—
1198C2×C42—591no—
1199C2×C42—591no—
1200C2×C42—591no—
1201C2×C42—591no—
1202C2×C42—591no—
1203C2×C42—591no—
1204C2×C42—591no—
1205C2×C42—591no—
1206C2×C42—591no—
1207C2×C42—1184no—
1208C2×C42—2362no—
1209C2×C42—2362no—
1210C2×C42C22×D5911yescharacteristic
1211C2×C42C22×D5911yescharacteristic
1212C2×C42C22×D5911yescharacteristic
1213#95—591no—
1214#95—591no—
1215#95—591no—
1216#95—591no—
1217#95—591no—
1218#95—591no—
1219#95—591no—
1220#95—591no—
1221#95—591no—
1222#95—591no—
1223#95—591no—
1224#95—591no—
1225#95—591no—
1226#95—591no—
1227#95—591no—
1228#95—591no—
1229#95—591no—
1230#95—591no—
1231#95—591no—
1232#95—591no—
1233#95—591no—
1234#95—591no—
1235#95—591no—
1236#95—591no—
1237#95C22×D5911yescharacteristic
1238#95C22×D5911yescharacteristic
1239#95C22×D5911yescharacteristic
1240#95C22×D5911yescharacteristic
1241#95C22×D5911yescharacteristic
1242#95C22×D5911yescharacteristic
1243#95C22×D5911yescharacteristic
1244#95C22×D5911yescharacteristic
1245C24—591no—
1246C24—591no—
1247C24—591no—
1248C24—1182no—
1249C24—1182no—
1250C24—1182no—
1251C24—1182no—
1252C24—1182no—
1253C24—2361no—
1254C24—2361no—
1255C24C23×D5911yescharacteristic
1256C24C23×D5911yescharacteristic
1257C24C23×D5911yescharacteristic
1258#41—23616no—
1259C2×Q8—1182no—
1260C2×Q8—1182no—
1261C2×Q8—1182no—
1262C2×Q8—1182no—
1263C2×Q8—2361no—
1264C2×Q8—2361no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—594no—
1275C2×D4—1182no—
1276C2×D4—1182no—
1277C2×D4—1182no—
1278C2×D4—1182no—
1279C2×D4—1182no—
1280C2×D4—1182no—
1281C2×D4—1182no—
1282C2×D4—1182no—
1283C2×D4—1182no—
1284C2×D4—1182no—
1285C2×D4—1182no—
1286C2×D4—1182no—
1287C2×D4—1182no—
1288C2×D4—1182no—
1289C2×D4—1182no—
1290C2×D4—1182no—
1291C2×D4—1182no—
1292C2×D4—1182no—
1293C2×D4—1182no—
1294C2×D4—2361no—
1295C2×D4—2361no—
1296C2×D4—2361no—
1297C2×D4—2361no—
1298C2×D4—2361no—
1299C2×D4—2361no—
1300C2×D4—2361no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—591no—
1308C22×C4—594no—
1309C22×C4—591no—
1310C22×C4—591no—
1311C22×C4—591no—
1312C22×C4—591no—
1313C22×C4—591no—
1314C22×C4—591no—
1315C22×C4—594no—
1316C22×C4—594no—
1317C22×C4—594no—
1318C22×C4—591no—
1319C22×C4—591no—
1320C22×C4—591no—
1321C22×C4—591no—
1322C22×C4—591no—
1323C22×C4—591no—
1324C22×C4—1182no—
1325C22×C4—1182no—
1326C22×C4—1182no—
1327C22×C4—1182no—
1328C22×C4—1182no—
1329C22×C4—1182no—
1330C22×C4—1182no—
1331C22×C4—1182no—
1332C22×C4—1182no—
1333C22×C4—1182no—
1334C22×C4—1182no—
1335C22×C4—1182no—
1336C22×C4—1182no—
1337C22×C4—1182no—
1338C22×C4—1182no—
1339C22×C4—1182no—
1340C22×C4—1182no—
1341C22×C4—1182no—
1342C22×C4—1182no—
1343C22×C4—1182no—
1344C22×C4—1182no—
1345C22×C4—1182no—
1346C22×C4—1182no—
1347C22×C4—1182no—
1348C22×C4—1182no—
1349C22×C4—1182no—
1350C22×C4—1182no—
1351C22×C4—1182no—
1352C22×C4—2361no—
1353C22×C4—2361no—
1354C22×C4—2361no—
1355C22×C4—2361no—
1356C22×C4—2361no—
1357C22×C4—2361no—
1358C22×C4—23616no—
1359C22×C4—2361no—
1360C22×C4C23×D5911yescharacteristic
1361C22×C4C23×D5911yescharacteristic
1362C22×C4C23×D5911yescharacteristic
1363C22×C4C23×D5911yescharacteristic
1364C22×C4C23×D5911yescharacteristic
1365C22×C4C23×D5911yescharacteristic
1366C22×C4C23×D5911yescharacteristic
1367C22×C4C23×D5911yescharacteristic
1368C22×C4C23×D5911yescharacteristic
1369C22×C4C23×D5911yescharacteristic
1370C22×C4C23×D5911yescharacteristic
1371C22×C4C23×D5911yescharacteristic
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—41no—
1378C4⋊C4—594no—
1379C4⋊C4—1182no—
1380C4⋊C4—1182no—
1381C4⋊C4—1182no—
1382C4⋊C4—1182no—
1383C4⋊C4—1182no—
1384C4⋊C4—1182no—
1385C4⋊C4—1182no—
1386C4⋊C4—1182no—
1387C4⋊C4—1182no—
1388C4⋊C4—1182no—
1389C4⋊C4—1182no—
1390C4⋊C4—1182no—
1391C4⋊C4—1182no—
1392C4⋊C4—1182no—
1393C4⋊C4—1182no—
1394C4⋊C4—1182no—
1395C4⋊C4—2361no—
1396C4⋊C4—2361no—
1397C4⋊C4—2361no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—594no—
1411C22⋊C4—594no—
1412C22⋊C4—594no—
1413C22⋊C4—1182no—
1414C22⋊C4—1182no—
1415C22⋊C4—1182no—
1416C22⋊C4—1182no—
1417C22⋊C4—1182no—
1418C22⋊C4—1182no—
1419C22⋊C4—1182no—
1420C22⋊C4—1182no—
1421C22⋊C4—1182no—
1422C22⋊C4—1182no—
1423C22⋊C4—1182no—
1424C22⋊C4—1182no—
1425C22⋊C4—1182no—
1426C22⋊C4—1182no—
1427C22⋊C4—1182no—
1428C22⋊C4—1182no—
1429C22⋊C4—1182no—
1430C22⋊C4—1182no—
1431C22⋊C4—1182no—
1432C22⋊C4—1182no—
1433C22⋊C4—1182no—
1434C22⋊C4—1182no—
1435C22⋊C4—1182no—
1436C22⋊C4—1182no—
1437C22⋊C4—1182no—
1438C22⋊C4—1182no—
1439C22⋊C4—1182no—
1440C22⋊C4—1182no—
1441C22⋊C4—1182no—
1442C22⋊C4—2361no—
1443C22⋊C4—2361no—
1444C22⋊C4—2361no—
1445C22⋊C4D4×D5914yes—
1446C42—22no—
1447C42—41no—
1448C42—41no—
1449C42—594no—
1450C42—1182no—
1451C42—1182no—
1452C42—1182no—
1453C42—1182no—
1454C42—1182no—
1455C42—1182no—
1456C42—1182no—
1457C42—1182no—
1458C42—1182no—
1459C42—1182no—
1460C42—1182no—
1461C42—1182no—
1462C42—2361no—
1463C42—2361no—
1464C42—2361no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—592no—
1485C23—592no—
1486C23—592no—
1487C23—592no—
1488C23—1188no—
1489C23—1181no—
1490C23—1181no—
1491C23—1181no—
1492C23—1181no—
1493C23—1181no—
1494C23—1181no—
1495C23—1181no—
1496C23—1181no—
1497C23—1181no—
1498C23—1181no—
1499C23—1181no—
1500C23—1181no—
1501C23—1181no—
1502C23—1181no—
1503C23—1181no—
1504C23—1181no—
1505C23—1181no—
1506C23—2364no—
1507C23—2364no—
1508C23—2364no—
1509C23—2364no—
1510C23—2364no—
1511C23—2364no—
1512C23C2×D4×D5912yes—
1513C23#41×D5912yes—
1514C23C24×D5911yescharacteristic
1515Q8—2364no—
1516Q8—2364no—
1517D4—44no—
1518D4—44no—
1519D4—44no—
1520D4—1188no—
1521D4—2364no—
1522D4—2364no—
1523D4—2364no—
1524D4—2364no—
1525D4—2364no—
1526D4—2364no—
1527D4—2364no—
1528D4—2364no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—592no—
1563C2×C4—592no—
1564C2×C4—592no—
1565C2×C4—592no—
1566C2×C4—592no—
1567C2×C4—592no—
1568C2×C4—592no—
1569C2×C4—592no—
1570C2×C4—592no—
1571C2×C4—1188no—
1572C2×C4—1188no—
1573C2×C4—1188no—
1574C2×C4—1181no—
1575C2×C4—1181no—
1576C2×C4—1181no—
1577C2×C4—1181no—
1578C2×C4—1181no—
1579C2×C4—1181no—
1580C2×C4—1181no—
1581C2×C4—1181no—
1582C2×C4—1181no—
1583C2×C4—1181no—
1584C2×C4—1181no—
1585C2×C4—1181no—
1586C2×C4—1181no—
1587C2×C4—1181no—
1588C2×C4—1181no—
1589C2×C4—1181no—
1590C2×C4—1181no—
1591C2×C4—1181no—
1592C2×C4—1181no—
1593C2×C4—1181no—
1594C2×C4—1181no—
1595C2×C4—1181no—
1596C2×C4—1181no—
1597C2×C4—1181no—
1598C2×C4—1181no—
1599C2×C4—1181no—
1600C2×C4—1181no—
1601C2×C4—1181no—
1602C2×C4—1181no—
1603C2×C4—1181no—
1604C2×C4—2364no—
1605C2×C4—2364no—
1606C2×C4—2364no—
1607C2×C4—2364no—
1608C2×C4—2364no—
1609C2×C4—2364no—
1610C2×C4—2364no—
1611C2×C4—2364no—
1612C2×C4—2364no—
1613C2×C4—2364no—
1614C2×C4C2×D4×D5912yes—
1615C2×C4C2×D4×D5912yes—
1616C2×C4#41×D5912yes—
1617C2×C4#41×D5912yes—
1618C2×C4#41×D5912yes—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—594no—
1641C22—1182no—
1642C22—1182no—
1643C22—1182no—
1644C22—1182no—
1645C22—1182no—
1646C22—1182no—
1647C22—1182no—
1648C22—1182no—
1649C22—1182no—
1650C22—23616no—
1651C22—2361no—
1652C22—2361no—
1653C22—2361no—
1654C22—2361no—
1655C22—2361no—
1656C22—2361no—
1657C22—2361no—
1658C22—2361no—
1659C22—2361no—
1660C22—2361no—
1661C22—2361no—
1662C22C22×D4×D5911yescharacteristic
1663C22C2×#41×D5911yescharacteristic
1664C22C2×#41×D5911yescharacteristic
1665C22C2×#41×D5911yescharacteristic
1666C22C2×#41×D5911yescharacteristic
1667C22H(5,𝔽2)×D5911yescharacteristic
1668C22#1683823711yescharacteristic
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—594no—
1682C4—1182no—
1683C4—1182no—
1684C4—1182no—
1685C4—1182no—
1686C4—1182no—
1687C4—1182no—
1688C4—2361no—
1689C4—2361no—
1690C4—2361no—
1691C4—2361no—
1692C4—2361no—
1693C4—2361no—
1694C2—42no—
1695C2—42no—
1696C2—81no—
1697C2—1184no—
1698C2—4721no—
1699C2—2362no—
1700C2#532×D5911yescharacteristic
1701C2#2143739011yescharacteristic
1702C2#2143750711yescharacteristic
1703C2#546×D5911yescharacteristic
1704C2#2143758011yescharacteristic
1705C2#2143765511yescharacteristic
1706C2#2143770311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2559C2
hypercenter#2559D59
hypocenterC59#34829
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2559

Complements

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

NH ≅ G/Ntype
1. C2×#16837935C2semidirect
2. C2×#16837912C2semidirect
3. #21429240C2semidirect
4. #21429212C2semidirect
5. #21429189C2semidirect
6. #21429186C2semidirect
7. #21429169C2semidirect
8. #21429162C2semidirect
9. #21429139C2semidirect
10. #21429106C2semidirect
11. #21429055C2semidirect
12. #21429025C2semidirect
13. #21428984C2semidirect
14. #21428423C2semidirect
15. #21428217C2semidirect
16. #21427648C2semidirect
17. #21427633C2semidirect
18. #21427369C2semidirect
19. #21427352C2semidirect
20. #21427335C2semidirect
21. #21427310C2semidirect
22. #21426643C2semidirect
23. #21426623C2semidirect
24. #21426608C2semidirect
25. #21426606C2semidirect
26. #21426597C2semidirect
27. #21426581C2semidirect
28. #21426554C2semidirect
29. C4×(C22⋊D59)⋊C4C2semidirect
30. C4×C22⋊C4×D59C2semidirect
31. C59×#2559C2semidirect
35. C2×#14273721C22semidirect
36. C2×#14273717C22semidirect
38. C2×#14273713C22semidirect
55. C2×#14273692C22semidirect
65. C2×(C22⋊D59)⋊C4C22semidirect
66. C2×(C22⋊D59)⋊C4C22semidirect
68. C2×#14273685C22semidirect
69. C2×#14273683C22semidirect
72. C22×C4×Dic59C22semidirect
75. #16837344C22semidirect
78. #16837336C22semidirect
79. #16837336C22semidirect
80. #16837335C22semidirect
81. #16837332C22semidirect
83. #16837330C22semidirect
84. #16837329C22semidirect
85. #16837327C22semidirect
89. #16837325C22semidirect
90. #16837322C22semidirect
91. #16837322C22semidirect
95. #16837317C22semidirect
98. #16837315C22semidirect
102. #16837310C22semidirect
103. #16837308C22semidirect
104. #16837306C22semidirect
105. #16837306C22semidirect
111. #16837302C22semidirect
112. #16837301C22semidirect
113. #16837299C22semidirect
114. #16837297C22semidirect
116. #16837294C22semidirect
117. #16837294C22semidirect
118. #16837293C22semidirect
120. #16837292C22semidirect
124. #16837290C22semidirect
125. #16837290C22semidirect
126. #16837290C22semidirect
127. #16837287C22semidirect
128. #16837286C22semidirect
129. #16837282C22semidirect
132. #16837281C22semidirect
142. #16837267C22semidirect
145. #16837260C22semidirect
147. C4⋊C4×Dic59C22semidirect
148. C4×Dic59⋊C4C22semidirect
149. #16837253C22semidirect
150. #16837253C22semidirect
151. #16837253C22semidirect
152. #16837253C22semidirect
156. C22⋊C4×Dic59C22semidirect
157. C22⋊C4×Dic59C22semidirect
158. C22⋊C4×Dic59C22semidirect
159. C22⋊C4×Dic59C22semidirect
160. C22⋊C4×Dic59C22semidirect
170. #16837249C22semidirect
173. C42×Dic59C22semidirect
174. C2×#126×C59C22semidirect
176. C59×#400C22semidirect
179. C59×#394C22semidirect
181. C59×#389C22semidirect
182. C59×#388C22semidirect
183. C59×#388C22semidirect
185. C59×#386C22semidirect
188. C4×C22⋊C4×C59C22semidirect
250. (C22⋊D59)⋊C4D4semidirect
511. C2×C4×D59#41semidirect
551. C22⋊Dic59#41semidirect
574. (C2×D59)⋊C4#41semidirect
844. #2559D59semidirect
889. C2×#126C2×D59semidirect
931. #400C2×D59semidirect
955. #394C2×D59semidirect
975. #389C2×D59semidirect
988. #388C2×D59semidirect
989. #388C2×D59semidirect
1003. #386C2×D59semidirect
1038. C4×C22⋊C4C2×D59semidirect
1042. C59#34829semidirect

Maximal subgroups

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

subgroupindex
C2×#168379352
C2×#168379122
#214292402
#214292122
#214291892
#214291862
#214291692
#214291622
#214291392
#214291062
#214290552
#214290252
#214289842
#214284232
#214282172
#214276482
#214276332
#214273692
#214273522
#214273352
#214273102
#214266432
#214266232
#214266082
#214266062
#214265972
#214265812
#214265542
C4×(C22⋊D59)⋊C42
C4×C22⋊C4×D592
C59×#25592
#3482959