Finite Group Databasebeta

← #28757347

Subgroups — #28757347

Order 15104.

2938 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837910C211yesmaximal, characteristic, complemented
2C2×#16837870C211yesmaximal, characteristic, complemented
3#21428299C211yesmaximal, characteristic, complemented
4#21428276C211yesmaximal, characteristic, complemented
5#21428207C211yesmaximal, characteristic, complemented
6#21428123C211yesmaximal, characteristic, complemented
7#21428100C211yesmaximal, characteristic, complemented
8#21428022C211yesmaximal, characteristic, complemented
9#21427999C211yesmaximal, characteristic, complemented
10#21427923C211yesmaximal, characteristic, complemented
11#21427841C211yesmaximal, characteristic, complemented
12#21427779C211yesmaximal, characteristic, complemented
13#21427705C211yesmaximal, characteristic, complemented
14#21427627C211yesmaximal, characteristic, complemented
15#21427553C211yesmaximal, characteristic, complemented
16#21427480C211yesmaximal, characteristic, complemented
17#21427413C211yesmaximal, characteristic, complemented
18#21427385C211yesmaximal, characteristic, complemented
19#21427371C211yesmaximal, characteristic, complemented
20#21427333C211yesmaximal, characteristic, complemented
21#21427310C211yesmaximal, characteristic, complemented
22#21426617C211yesmaximal, characteristic, complemented
23#21426615C211yesmaximal, characteristic, complemented
24#21426604C211yesmaximal, characteristic, complemented
25#21426604C211yesmaximal, characteristic, complemented
26#21426597C211yesmaximal, characteristic, complemented
27#21426581C211yesmaximal, characteristic, complemented
28#21426538C211yesmaximal, characteristic, complemented
29#21426538C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D59C211yesmaximal, characteristic, complemented
31C59×#2470C211yesmaximal, characteristic, complemented
32C22×#11745685C2211yescharacteristic
33C22×#11745687C2211yescharacteristic
34C23×C4×D59C2211yescharacteristic
35#16837910—28no—
36C2×#14273712C2211yescharacteristic
37C2×#14273711C2211yescharacteristic
38C2×#14273710C2211yescharacteristic
39C2×#14273705C2211yescharacteristic
40C2×#14273705C2211yescharacteristic
41C2×#14273702C2211yescharacteristic
42C2×#14273702C2211yescharacteristic
43C2×#14273700C2211yescharacteristic
44C2×#14273700C2211yescharacteristic
45C2×#14273697C2211yescharacteristic
46C2×#14273697C2211yescharacteristic
47C2×#14273695C2211yescharacteristic
48#16837870—28no—
49C2×#14273692C2211yescharacteristic, complemented
50C2×#14273692C2211yescharacteristic, complemented
51C2×#14273689C2211yescharacteristic
52C2×#14273689C2211yescharacteristic
53C2×#14273689C2211yescharacteristic
54C2×#14273689C2211yescharacteristic
55C2×#14273689C2211yescharacteristic
56C2×#14273689C2211yescharacteristic, complemented
57C2×(C22⋊D59)⋊C4C2211yescharacteristic
58C2×(C22⋊D59)⋊C4C2211yescharacteristic
59C2×(C22⋊D59)⋊C4C2211yescharacteristic
60C2×(C22⋊D59)⋊C4C2211yescharacteristic
61C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
62C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
63C2×#14273684C2211yescharacteristic
64C2×#14273684C2211yescharacteristic, complemented
65C2×#14273683C2211yescharacteristic
66C2×#14273683C2211yescharacteristic, complemented
67C2×C22⋊C4×D59C2211yescharacteristic
68C2×C22⋊C4×D59C2211yescharacteristic
69C22×C4×Dic59C2211yescharacteristic, complemented
70C2×C42×D59C2211yescharacteristic
71C2×C42×D59C2211yescharacteristic
72C2×C42×D59C2211yescharacteristic, complemented
73#16837343C2211yescharacteristic, complemented
74#16837340C2211yescharacteristic, complemented
75#16837338C2211yescharacteristic
76#16837335C2211yescharacteristic, complemented
77#16837333C2211yescharacteristic, complemented
78#16837332C2211yescharacteristic, complemented
79#16837331C2211yescharacteristic
80#16837331C2211yescharacteristic, complemented
81#16837326C2211yescharacteristic
82#16837326C2211yescharacteristic, complemented
83#16837325C2211yescharacteristic
84#16837322C2211yescharacteristic, complemented
85#16837322C2211yescharacteristic, complemented
86#16837320C2211yescharacteristic
87#16837320C2211yescharacteristic
88#16837319C2211yescharacteristic
89#16837317C2211yescharacteristic
90#16837317C2211yescharacteristic
91#16837317C2211yescharacteristic, complemented
92#16837317C2211yescharacteristic, complemented
93#16837315C2211yescharacteristic
94#16837315C2211yescharacteristic, complemented
95#16837315C2211yescharacteristic, complemented
96#16837314C2211yescharacteristic
97#16837311C2211yescharacteristic
98#16837311C2211yescharacteristic
99#16837311C2211yescharacteristic, complemented
100#16837310C2211yescharacteristic
101#16837306C2211yescharacteristic, complemented
102#16837306C2211yescharacteristic, complemented
103#16837304C2211yescharacteristic
104#16837304C2211yescharacteristic, complemented
105#16837302C2211yescharacteristic
106#16837302C2211yescharacteristic
107#16837295C2211yescharacteristic
108#16837295C2211yescharacteristic, complemented
109#16837294C2211yescharacteristic, complemented
110#16837293C2211yescharacteristic, complemented
111#16837292C2211yescharacteristic
112#16837292C2211yescharacteristic
113#16837292C2211yescharacteristic
114#16837292C2211yescharacteristic, complemented
115#16837292C2211yescharacteristic, complemented
116#16837292C2211yescharacteristic, complemented
117#16837286C2211yescharacteristic, complemented
118#16837286C2211yescharacteristic, complemented
119#16837285C2211yescharacteristic, complemented
120#16837285C2211yescharacteristic, complemented
121#16837284C2211yescharacteristic, complemented
122#16837284C2211yescharacteristic, complemented
123#16837283C2211yescharacteristic, complemented
124#16837282C2211yescharacteristic
125#16837281C2211yescharacteristic
126#16837281C2211yescharacteristic
127#16837281C2211yescharacteristic, complemented
128#16837280C2211yescharacteristic
129#16837280C2211yescharacteristic
130#16837280C2211yescharacteristic
131#16837280C2211yescharacteristic
132#16837280C2211yescharacteristic
133#16837280C2211yescharacteristic
134#16837280C2211yescharacteristic, complemented
135#16837279C2211yescharacteristic, complemented
136#16837278C2211yescharacteristic
137#16837278C2211yescharacteristic
138#16837278C2211yescharacteristic
139#16837278C2211yescharacteristic
140#16837276C2211yescharacteristic
141#16837276C2211yescharacteristic
142#16837276C2211yescharacteristic, complemented
143#16837273C2211yescharacteristic
144#16837273C2211yescharacteristic
145#16837273C2211yescharacteristic
146#16837273C2211yescharacteristic, complemented
147#16837264C2211yescharacteristic
148#16837263C2211yescharacteristic, complemented
149#16837259C2211yescharacteristic
150#16837259C2211yescharacteristic, complemented
151#16837257C2211yescharacteristic
152C4⋊C4×Dic59C2211yescharacteristic, complemented
153C4⋊C4×Dic59C2211yescharacteristic, complemented
154C4⋊C4×Dic59C2211yescharacteristic, complemented
155#16837253C2211yescharacteristic, complemented
156C22⋊C4×Dic59C2211yescharacteristic
157C22⋊C4×Dic59C2211yescharacteristic
158C22⋊C4×Dic59C2211yescharacteristic
159C22⋊C4×Dic59C2211yescharacteristic, complemented
160C4×(C2×D59)⋊C4C2211yescharacteristic
161C4×(C2×D59)⋊C4C2211yescharacteristic
162C4×C22⋊Dic59C2211yescharacteristic
163#16837249C2211yescharacteristic
164#16837249C2211yescharacteristic
165#16837249C2211yescharacteristic
166#16837249C2211yescharacteristic
167#16837249C2211yescharacteristic, complemented
168#16837249C2211yescharacteristic, complemented
169#16837249C2211yescharacteristic, complemented
170#16837249C2211yescharacteristic, complemented
171#16837247C2211yescharacteristic, complemented
172#95×D59C2211yescharacteristic
173#95×D59C2211yescharacteristic
174C2×#123×C59C2211yescharacteristic
175C2×#117×C59C2211yescharacteristic, complemented
176C59×#400C2211yescharacteristic, complemented
177C59×#397C2211yescharacteristic, complemented
178C59×#396C2211yescharacteristic
179C59×#394C2211yescharacteristic
180C59×#389C2211yescharacteristic, complemented
181C59×#389C2211yescharacteristic, complemented
182C59×#388C2211yescharacteristic
183C59×#388C2211yescharacteristic, complemented
184C59×#387C2211yescharacteristic, complemented
185C59×#386C2211yescharacteristic
186C59×#385C2211yescharacteristic
187C59×#385C2211yescharacteristic, complemented
188C4×C22⋊C4×C59C2211yescharacteristic
189C24×D59C2311yescharacteristic
190C2×#11745685—24no—
191C2×#11745685—24no—
192C2×#11745685—24no—
193C2×#11745687—24no—
194C2×#11745687—24no—
195C2×#11745687—42no—
196C22×Dic118C2311yescharacteristic
197C22×Dic118C2311yescharacteristic
198C22×D236C2311yescharacteristic
199C22×D236C2311yescharacteristic
200C22×D236C2311yescharacteristic
201C22×D236C2311yescharacteristic
202C22×D236C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C22×C22⋊D59C2311yescharacteristic
205C22×C22⋊D59C2311yescharacteristic
206C22×C22⋊D59C2311yescharacteristic
207C22×C22⋊D59C2311yescharacteristic
208C22×C22⋊D59C2311yescharacteristic
209C23×Dic59C2311yescharacteristic
210C23×Dic59C2311yescharacteristic
211C23×Dic59C2311yescharacteristic
212C22×C4×D59—24no—
213C22×C4×D59—24no—
214C22×C4×D59—42no—
215C22×C4×D59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219C22×C4×D59C2311yescharacteristic
220C22×C4×D59C2311yescharacteristic
221C22×C4×D59C2311yescharacteristic
222C22×C4×D59C2311yescharacteristic
223C22×C4×D59C2311yescharacteristic
224C22×C4×D59C2311yescharacteristic
225C22×C4×D59C2311yescharacteristic
226C22×C4×D59C2311yescharacteristic
227#14273712—24no—
228#14273711—24no—
229#14273710—24no—
230#14273705—24no—
231#14273705—24no—
232#14273702—24no—
233#14273702—24no—
234#14273700—24no—
235#14273700—24no—
236#14273697—24no—
237#14273697—24no—
238#14273695—24no—
239#14273692—24no—
240#14273692—24no—
241#14273689—24no—
242#14273689—24no—
243#14273689—24no—
244#14273689—24no—
245#14273689—42no—
246#14273689—42no—
247(C22⋊D59)⋊C4—24no—
248(C22⋊D59)⋊C4—24no—
249(C22⋊D59)⋊C4—24no—
250(C22⋊D59)⋊C4—24no—
251(C22⋊D59)⋊C4—24no—
252(C22⋊D59)⋊C4D418yescomplemented
253#14273684—24no—
254#14273684—24no—
255#14273683—24no—
256#14273683—42no—
257C2×C4⋊Dic59C2311yescharacteristic
258C2×C4⋊Dic59C2311yescharacteristic
259C2×C4⋊Dic59C2311yescharacteristic
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×C22⋊Dic59C2311yescharacteristic
273C2×C22⋊Dic59C2311yescharacteristic
274C2×C22⋊Dic59C2311yescharacteristic
275C2×C22⋊Dic59C2311yescharacteristic
276C2×C22⋊Dic59C2311yescharacteristic
277C2×C22⋊Dic59C2311yescharacteristic
278C2×(C2×D59)⋊C4C2311yescharacteristic
279C2×(C2×D59)⋊C4C2311yescharacteristic
280C2×(C2×D59)⋊C4C2311yescharacteristic
281C2×(C2×D59)⋊C4C2311yescharacteristic
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×(C2×D59)⋊C4C2311yescharacteristic
284C2×(C2×D59)⋊C4C2311yescharacteristic
285C2×(C2×D59)⋊C4C2311yescharacteristic
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C2×(C2×D59)⋊C4C2311yescharacteristic
288C2×(C2×D59)⋊C4C2311yescharacteristic
289C2×(C2×D59)⋊C4C2311yescharacteristic
290C2×(C2×D59)⋊C4C2311yescharacteristic
291C2×(C2×D59)⋊C4C2311yescharacteristic
292C2×(C2×D59)⋊C4C2311yescharacteristic
293C2×(C2×D59)⋊C4C2311yescharacteristic
294C2×(C2×D59)⋊C4C2311yescharacteristic
295C2×(C2×D59)⋊C4C2311yescharacteristic
296C2×(C2×D59)⋊C4C2311yescharacteristic
297C2×(C2×D59)⋊C4C2311yescharacteristic
298C2×(C2×D59)⋊C4C2311yescharacteristic
299C2×(C2×D59)⋊C4C2311yescharacteristic
300C2×(C2×D59)⋊C4C2311yescharacteristic
301C2×(C2×D59)⋊C4C2311yescharacteristic
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C2×(C2×D59)⋊C4C2311yescharacteristic
304C2×(C2×D59)⋊C4C2311yescharacteristic
305C2×(C2×D59)⋊C4C2311yescharacteristic
306C2×(C2×D59)⋊C4C2311yescharacteristic
307C2×(C2×D59)⋊C4C2311yescharacteristic
308C22⋊C4×D59—24no—
309C22⋊C4×D59—24no—
310C2×C4×Dic59—24no—
311C2×C4×Dic59C2311yescharacteristic
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
325C42×D59—24no—
326C42×D59—24no—
327C42×D59—42no—
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C59⋊#95C2311yescharacteristic
339C59⋊#95C2311yescharacteristic
340C59⋊#95C2311yescharacteristic
341C59⋊#95C2311yescharacteristic
342C59⋊#95C2311yescharacteristic
343C59⋊#95C2311yescharacteristic
344C59⋊#95C2311yescharacteristic
345C59⋊#95C2311yescharacteristic
346C59⋊#95C2311yescharacteristic
347C59⋊#95C2311yescharacteristic
348C59⋊#95C2311yescharacteristic
349C59⋊#95C2311yescharacteristic
350C59⋊#95C2311yescharacteristic
351C59⋊#95C2311yescharacteristic
352C59⋊#95C2311yescharacteristic
353C59⋊#95C2311yescharacteristic
354C22×D4×C59C2311yescharacteristic
355C23×C4×C59C2311yescharacteristic
356C23×C4×C59C2311yescharacteristic
357#123×C59—24no—
358#117×C59—24no—
359C2×C4⋊C4×C59C2311yescharacteristic
360C2×C4⋊C4×C59C2311yescharacteristic
361C2×C4⋊C4×C59C2311yescharacteristic
362C2×C4⋊C4×C59C2311yescharacteristic
363C2×C4⋊C4×C59C2311yescharacteristic
364C2×C4⋊C4×C59C2311yescharacteristic
365C2×C4⋊C4×C59C2311yescharacteristic
366C2×C4⋊C4×C59C2311yescharacteristic
367C2×C4⋊C4×C59C2311yescharacteristic
368C2×C22⋊C4×C59C2311yescharacteristic
369C2×C22⋊C4×C59C2311yescharacteristic
370C2×C22⋊C4×C59C2311yescharacteristic
371C2×C22⋊C4×C59C2311yescharacteristic
372C2×C22⋊C4×C59C2311yescharacteristic
373C2×C22⋊C4×C59C2311yescharacteristic
374C2×C22⋊C4×C59C2311yescharacteristic
375C2×C22⋊C4×C59C2311yescharacteristic
376C2×C22⋊C4×C59C2311yescharacteristic
377C2×C22⋊C4×C59C2311yescharacteristic
378C2×C42×C59C2311yescharacteristic
379C2×C42×C59C2311yescharacteristic
380C2×C42×C59C2311yescharacteristic
381#95×C59C2311yescharacteristic
382#95×C59C2311yescharacteristic
383#95×C59C2311yescharacteristic
384#95×C59C2311yescharacteristic
385#95×C59C2311yescharacteristic
386#95×C59C2311yescharacteristic
387#95×C59C2311yescharacteristic
388#95×C59C2311yescharacteristic
389#95×C59C2311yescharacteristic
390#95×C59C2311yescharacteristic
391C24×C59C2411yescharacteristic
392C24×C59C2411yescharacteristic
393C23×D59—22no—
394C23×D59—22no—
395C23×D59—22no—
396C23×D59—22no—
397C23×D59—22no—
398C23×D59—41no—
399C23×D59—41no—
400C23×D59C2411yescharacteristic
401C23×D59C2411yescharacteristic
402C23×D59C2411yescharacteristic
403C23×D59C2411yescharacteristic
404C2×D4×C59—22no—
405C2×D4×C59—22no—
406C2×D4×C59—41no—
407C22×C4×C59—22no—
408C22×C4×C59—22no—
409C22×C4×C59—22no—
410C22×C4×C59—22no—
411C22×C4×C59—22no—
412C22×C4×C59—41no—
413C22×C4×C59C2411yescharacteristic
414C22×C4×C59C2411yescharacteristic
415C22×C4×C59C2411yescharacteristic
416C22×C4×C59C2411yescharacteristic
417C22×C4×C59C2411yescharacteristic
418C22×C4×C59C2411yescharacteristic
419C22×C4×C59C2411yescharacteristic
420C22×C4×C59C2411yescharacteristic
421C22×C4×C59C2411yescharacteristic
422C22×C4×C59C2411yescharacteristic
423C22×C4×C59C2411yescharacteristic
424C22×C4×C59C2411yescharacteristic
425C22×C4×C59C2411yescharacteristic
426C2×C22⋊D59—22no—
427C2×C22⋊D59—22no—
428C2×C22⋊D59—22no—
429C2×C22⋊D59—22no—
430C2×C22⋊D59—22no—
431C2×C22⋊D59—22no—
432C2×C22⋊D59—22no—
433C2×C22⋊D59—22no—
434C2×C22⋊D59—22no—
435C2×C22⋊D59—22no—
436C2×C22⋊D59—22no—
437C2×C22⋊D59—22no—
438C2×C22⋊D59—22no—
439C2×C22⋊D59—41no—
440C2×C22⋊D59—41no—
441C2×C22⋊D59—41no—
442C2×C22⋊D59—41no—
443C2×C22⋊D59C2×D414yes—
444C22×Dic59—22no—
445C22×Dic59—22no—
446C22×Dic59—22no—
447C22×Dic59—22no—
448C22×Dic59—22no—
449C22×Dic59—22no—
450C22×Dic59—41no—
451C22×Dic59C2×D414yes—
452C22×Dic59#4114yescomplemented
453C22×Dic59C2411yescharacteristic
454C22×Dic59C2411yescharacteristic
455C22×Dic59C2411yescharacteristic
456C22×Dic59C2411yescharacteristic
457C22×Dic59C2411yescharacteristic
458C22×Dic59C2411yescharacteristic
459C22×Dic59C2411yescharacteristic
460C22×Dic59C2411yescharacteristic
461C22×Dic59C2411yescharacteristic
462C22×Dic59C2411yescharacteristic
463C22×Dic59C2411yescharacteristic
464C22×Dic59C2411yescharacteristic
465#11745687—416no—
466#11745685—232no—
467C2×D236—22no—
468C2×D236—22no—
469C2×D236—22no—
470C2×D236—22no—
471C2×D236—22no—
472C2×D236—22no—
473C2×D236—22no—
474C2×D236—22no—
475C2×D236—22no—
476C2×D236—22no—
477C2×D236—22no—
478C2×D236—41no—
479C2×D236—41no—
480C2×D236—41no—
481C2×D236#4114yescomplemented
482C2×C4×D59—22no—
483C2×C4×D59—22no—
484C2×C4×D59—22no—
485C2×C4×D59—22no—
486C2×C4×D59—22no—
487C2×C4×D59—22no—
488C2×C4×D59—22no—
489C2×C4×D59—22no—
490C2×C4×D59—22no—
491C2×C4×D59—22no—
492C2×C4×D59—22no—
493C2×C4×D59—22no—
494C2×C4×D59—22no—
495C2×C4×D59—22no—
496C2×C4×D59—22no—
497C2×C4×D59—22no—
498C2×C4×D59—22no—
499C2×C4×D59—22no—
500C2×C4×D59—22no—
501C2×C4×D59—22no—
502C2×C4×D59—22no—
503C2×C4×D59—22no—
504C2×C4×D59—22no—
505C2×C4×D59—22no—
506C2×C4×D59—22no—
507C2×C4×D59—22no—
508C2×C4×D59—22no—
509C2×C4×D59—416no—
510C2×C4×D59—41no—
511C2×C4×D59—41no—
512C2×C4×D59—41no—
513C2×C4×D59—41no—
514C2×C4×D59—41no—
515C2×C4×D59—41no—
516C2×C4×D59—41no—
517C2×C4×D59C2×D414yes—
518C2×C4×D59#4114yescomplemented
519C2×Dic118—22no—
520C2×Dic118—22no—
521C2×Dic118—22no—
522C2×Dic118—22no—
523C2×Dic118—22no—
524C2×Dic118—41no—
525C4⋊C4×C59—22no—
526C4⋊C4×C59—22no—
527C4⋊C4×C59—22no—
528C4⋊C4×C59—22no—
529C4⋊C4×C59—22no—
530C4⋊C4×C59—22no—
531C4⋊C4×C59—22no—
532C4⋊C4×C59—41no—
533C4⋊C4×C59—41no—
534C22⋊C4×C59—22no—
535C22⋊C4×C59—22no—
536C22⋊C4×C59—22no—
537C22⋊C4×C59—22no—
538C22⋊C4×C59—22no—
539C22⋊C4×C59—22no—
540C22⋊C4×C59—22no—
541C22⋊C4×C59—22no—
542C22⋊C4×C59—41no—
543C22⋊C4×C59C2×D414yes—
544C42×C59—22no—
545C42×C59—22no—
546C42×C59—41no—
547C22⋊Dic59—22no—
548C22⋊Dic59—22no—
549C22⋊Dic59—22no—
550C22⋊Dic59—41no—
551C22⋊Dic59—41no—
552C22⋊Dic59—41no—
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—22no—
571(C2×D59)⋊C4—22no—
572(C2×D59)⋊C4—22no—
573(C2×D59)⋊C4—22no—
574(C2×D59)⋊C4—41no—
575(C2×D59)⋊C4—41no—
576(C2×D59)⋊C4—41no—
577(C2×D59)⋊C4—41no—
578(C2×D59)⋊C4—41no—
579(C2×D59)⋊C4—41no—
580(C2×D59)⋊C4—41no—
581(C2×D59)⋊C4C2×D414yes—
582(C2×D59)⋊C4#4114yescomplemented
583C4⋊Dic59—22no—
584C4⋊Dic59—22no—
585C4⋊Dic59—41no—
586Dic59⋊C4—22no—
587Dic59⋊C4—22no—
588Dic59⋊C4—22no—
589Dic59⋊C4—22no—
590Dic59⋊C4—22no—
591Dic59⋊C4—22no—
592Dic59⋊C4—22no—
593Dic59⋊C4—22no—
594Dic59⋊C4—41no—
595Dic59⋊C4—41no—
596Dic59⋊C4—41no—
597Dic59⋊C4C2×D414yes—
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—22no—
608C4×Dic59—22no—
609C4×Dic59—22no—
610C4×Dic59—41no—
611C4×Dic59C2×D414yes—
612C23×C59—21no—
613C23×C59—21no—
614C23×C59—21no—
615C23×C59—21no—
616C23×C59—21no—
617C23×C59—21no—
618C23×C59—21no—
619C23×C59—21no—
620C23×C59—21no—
621C23×C59—21no—
622C23×C59—21no—
623C23×C59—21no—
624C23×C59C22×D412yes—
625C23×C59C2×#4112yes—
626C23×C59C2511yescharacteristic
627C22×D59—21no—
628C22×D59—21no—
629C22×D59—21no—
630C22×D59—21no—
631C22×D59—28no—
632C22×D59—21no—
633C22×D59—21no—
634C22×D59—21no—
635C22×D59—21no—
636C22×D59—21no—
637C22×D59—21no—
638C22×D59—21no—
639C22×D59—21no—
640C22×D59—21no—
641C22×D59—21no—
642C22×D59—21no—
643C22×D59—21no—
644C22×D59—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—
661C22×D59C2×#4112yes—
662D4×C59—44no—
663C2×C4×C59—28no—
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—21no—
696C2×C4×C59—21no—
697C2×C4×C59—21no—
698C2×C4×C59—44no—
699C2×C4×C59C22×D412yes—
700C2×C4×C59C22×D412yes—
701C2×C4×C59C2×#4112yes—
702C2×C4×C59C2×#4112yes—
703C2×C4×C59C2×#4112yes—
704C22⋊D59—28no—
705C22⋊D59—28no—
706C22⋊D59—44no—
707C22⋊D59—44no—
708C22⋊D59—44no—
709C22⋊D59—44no—
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—28no—
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×Dic59C22×D412yes—
742C2×Dic59C22×D412yes—
743C2×Dic59C22×D412yes—
744C2×Dic59C2×#4112yes—
745C2×Dic59C2×#4112yes—
746C2×Dic59C2×#4112yes—
747C2×Dic59C2×#4112yes—
748C2×Dic59H(5,𝔽2)12yes—
749D236—28no—
750D236—44no—
751D236—44no—
752D236—44no—
753D236—44no—
754C4×D59—28no—
755C4×D59—28no—
756C4×D59—28no—
757C4×D59—44no—
758C4×D59—44no—
759C4×D59—44no—
760C4×D59—44no—
761C4×D59—44no—
762C4×D59—44no—
763C4×D59—44no—
764C4×D59—44no—
765C4×D59—44no—
766Dic118—28no—
767Dic118—44no—
768#34732—591nomaximal, Sylow
769C22×C59—22no—
770C22×C59—22no—
771C22×C59—22no—
772C22×C59—22no—
773C22×C59—22no—
774C22×C59—22no—
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×C59C23×D411yescharacteristic
784C22×C59C22×#4111yescharacteristic
785C22×C59C22×#4111yescharacteristic
786C22×C59C22×#4111yescharacteristic
787C22×C59C22×#4111yescharacteristic
788C22×C59C2×H(5,𝔽2)11yescharacteristic
789C22×C59#58511yescharacteristic
790C2×D59—22no—
791C2×D59—22no—
792C2×D59—22no—
793C2×D59—22no—
794C2×D59—22no—
795C2×D59—22no—
796C2×D59—22no—
797C2×D59—22no—
798C2×D59—22no—
799C2×D59—22no—
800C2×D59—22no—
801C2×D59—22no—
802C2×D59—416no—
803C2×D59—41no—
804C2×D59—41no—
805C2×D59—41no—
806C2×D59—41no—
807C2×D59—41no—
808C2×D59—41no—
809C2×D59—41no—
810C2×D59—41no—
811C2×D59—41no—
812C2×D59—41no—
813C2×D59—41no—
814C2×D59—41no—
815C2×D59—41no—
816C2×D59—41no—
817C2×D59—41no—
818C2×D59#52514yes—
819C4×C59—22no—
820C4×C59—22no—
821C4×C59—22no—
822C4×C59—22no—
823C4×C59—22no—
824C4×C59—41no—
825C4×C59—41no—
826C4×C59—41no—
827C4×C59—41no—
828C4×C59—41no—
829C4×C59—41no—
830C4×C59—41no—
831C4×C59—41no—
832Dic59—22no—
833Dic59—22no—
834Dic59—22no—
835Dic59—22no—
836Dic59—22no—
837Dic59—41no—
838Dic59—41no—
839Dic59—41no—
840Dic59—41no—
841Dic59—41no—
842Dic59—41no—
843Dic59#54614yes—
844C2×#525—591no—
845C2×C4×#41—591no—
846#2477—591no—
847#2476—591no—
848#2471—591no—
849#2470D5911yescharacteristic, complemented
850#2465—591no—
851#2464—591no—
852#2458—591no—
853#2457—591no—
854#2450—591no—
855#2444—591no—
856#2438—591no—
857#2430—591no—
858#2424—591no—
859#2418—591no—
860#2411—591no—
861#2404—591no—
862#2398—591no—
863#2396—591no—
864#2392—591no—
865#2388—591no—
866C4×#123—591no—
867C4×#123—591no—
868C4×#121—591no—
869C4×#121—591no—
870C4×#120—591no—
871#2297—591no—
872#2290—591no—
873#2290—591no—
874C2×C4×C22⋊C4—591no—
875C2×C59—42no—
876C2×C59—42no—
877C2×C59C2×#52511yescharacteristic
878C2×C59#344411yescharacteristic
879C2×C59#346011yescharacteristic
880C2×C59C2×#54611yescharacteristic
881C2×C59D4×#4111yescharacteristic
882C2×C59#347511yescharacteristic
883C2×C59#348111yescharacteristic
884D59—24no—
885D59—42no—
886D59—42no—
887D59—81no—
888C22×#41—591no—
889C22×#41—591no—
890C24×C4—591no—
891#525—1188no—
892C2×#123—591no—
893C2×#123—591no—
894C2×#123—591no—
895C2×#123C2×D5911yescharacteristic
896C2×C22⋊Q8—591no—
897C2×C22⋊Q8—591no—
898C2×#121—591no—
899C2×#121—591no—
900C2×#121—591no—
901C2×#121—591no—
902C2×#120—591no—
903C2×#120—591no—
904C2×#120—591no—
905C4×#41—1188no—
906C2×C4×Q8—591no—
907C2×C4×Q8—591no—
908C2×C4×D4—591no—
909C2×C4×D4—591no—
910C2×C4×D4—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×#117—591no—
921C2×#117—591no—
922C2×#117—591no—
923C2×#117—591no—
924C2×#117C2×D5911yescharacteristic, complemented
925C22×C22⋊C4—591no—
926C22×C22⋊C4—591no—
927C22×C42—591no—
928C22×C42—591no—
929C22×C42—591no—
930C22×C42—591no—
931#400—591no—
932#400—591no—
933#400C2×D5911yescharacteristic, complemented
934#399—591no—
935#398—591no—
936#398—591no—
937#398—591no—
938#397—591no—
939#397—591no—
940#397C2×D5911yescharacteristic, complemented
941#396—591no—
942#396—591no—
943#396—591no—
944#396C2×D5911yescharacteristic
945#395—591no—
946#395—591no—
947#394—591no—
948#394—591no—
949#394—591no—
950#394—591no—
951#394—591no—
952#394—591no—
953#394—591no—
954#394C2×D5911yescharacteristic
955#393—591no—
956#393—591no—
957#393—591no—
958#393—591no—
959#392—591no—
960#392—591no—
961#392—591no—
962#392—591no—
963#391—591no—
964#391—591no—
965#390—591no—
966#390—591no—
967#390—591no—
968#390—591no—
969#389C2×D5911yescharacteristic, complemented
970#389C2×D5911yescharacteristic, complemented
971#388—591no—
972#388—591no—
973#388—591no—
974#388—591no—
975#388—591no—
976#388—591no—
977#388—591no—
978#388—591no—
979#388—591no—
980#388—591no—
981#388C2×D5911yescharacteristic
982#388C2×D5911yescharacteristic, complemented
983#387—591no—
984#387—591no—
985#387—591no—
986#387—591no—
987#387—591no—
988#387—591no—
989#387—591no—
990#387C2×D5911yescharacteristic, complemented
991#386—591no—
992#386—591no—
993#386—591no—
994#386—591no—
995#386—591no—
996#386—591no—
997#386—591no—
998#386—591no—
999#386—591no—
1000#386—591no—
1001#386—591no—
1002#386—591no—
1003#386—591no—
1004#386—591no—
1005#386—591no—
1006#386—591no—
1007#386C2×D5911yescharacteristic
1008#385—591no—
1009#385—591no—
1010#385—591no—
1011#385—591no—
1012#385—591no—
1013#385—591no—
1014#385—591no—
1015#385C2×D5911yescharacteristic
1016#385C2×D5911yescharacteristic, complemented
1017#381—591no—
1018#381—591no—
1019#380—591no—
1020#380—591no—
1021#379—591no—
1022C4×C4⋊C4—591no—
1023C4×C4⋊C4—591no—
1024C4×C4⋊C4—591no—
1025C4×C4⋊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⋊C4—591no—
1038C4×C22⋊C4—591no—
1039C4×C22⋊C4—591no—
1040C4×C22⋊C4—591no—
1041C4×C22⋊C4C2×D5911yescharacteristic
1042#376—591no—
1043C2×#95—591no—
1044C2×#95—591no—
1045C59#3473211yescharacteristic, complemented, Sylow
1046C25—591no—
1047C2×#41—1184no—
1048C2×#41—1184no—
1049C2×#41—1184no—
1050C2×#41—1184no—
1051C2×#41—1184no—
1052C2×#41—2362no—
1053C22×Q8—591no—
1054C22×Q8—591no—
1055C22×D4—591no—
1056C22×D4—591no—
1057C22×D4—591no—
1058C22×D4—591no—
1059C22×D4—591no—
1060C22×D4—591no—
1061C22×D4—591no—
1062C22×D4—591no—
1063C22×D4—591no—
1064C22×D4—591no—
1065C22×D4—591no—
1066C22×D4C22×D5911yescharacteristic
1067C23×C4—591no—
1068C23×C4—591no—
1069C23×C4—591no—
1070C23×C4—591no—
1071C23×C4—591no—
1072C23×C4—591no—
1073C23×C4—591no—
1074C23×C4—591no—
1075C23×C4—591no—
1076C23×C4—591no—
1077C23×C4—591no—
1078C23×C4—591no—
1079C23×C4—591no—
1080C23×C4—591no—
1081C23×C4—591no—
1082C23×C4—1184no—
1083C23×C4—1184no—
1084C23×C4—2362no—
1085C23×C4C22×D5911yescharacteristic
1086C23×C4C22×D5911yescharacteristic
1087#123—24no—
1088#123—1184no—
1089#123—1184no—
1090#123—1184no—
1091C22⋊Q8—1184no—
1092C22⋊Q8—1184no—
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×Q8—1184no—
1102C4×D4—598no—
1103C4×D4—1184no—
1104C4×D4—1184no—
1105C4×D4—1184no—
1106C4×D4—1184no—
1107C4×D4—1184no—
1108C4×D4—1184no—
1109C4×D4—1184no—
1110C4×D4—1184no—
1111C4×D4—1184no—
1112C4×D4—2362no—
1113C4×D4—2362no—
1114#117—24no—
1115#117—1184no—
1116#117—1184no—
1117#117—1184no—
1118#117—2362no—
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⋊C4C22×D5911yescharacteristic
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×C4⋊C4C22×D5911yescharacteristic
1142C2×C4⋊C4C22×D5911yescharacteristic
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—591no—
1177C2×C22⋊C4—591no—
1178C2×C22⋊C4—591no—
1179C2×C22⋊C4—1184no—
1180C2×C22⋊C4—1184no—
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—1184no—
1206C2×C42—1184no—
1207C2×C42—1184no—
1208C2×C42—2362no—
1209C2×C42C22×D5911yescharacteristic
1210C2×C42C22×D5911yescharacteristic
1211C2×C42C22×D5911yescharacteristic
1212#95—591no—
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#95—591no—
1238#95C22×D5911yescharacteristic
1239#95C22×D5911yescharacteristic
1240#95C22×D5911yescharacteristic
1241#95C22×D5911yescharacteristic
1242#95C22×D5911yescharacteristic
1243#95C22×D5911yescharacteristic
1244#95C22×D5911yescharacteristic
1245#95C22×D5911yescharacteristic
1246#95C22×D5911yescharacteristic
1247#95C22×D5911yescharacteristic
1248C24—591no—
1249C24—591no—
1250C24—591no—
1251C24—591no—
1252C24—1182no—
1253C24—1182no—
1254C24—1182no—
1255C24—1182no—
1256C24—1182no—
1257C24—2361no—
1258C24—2361no—
1259C24C23×D5911yescharacteristic
1260C24C23×D5911yescharacteristic
1261#41—11832no—
1262#41—23616no—
1263C2×Q8—1182no—
1264C2×Q8—1182no—
1265C2×Q8—1182no—
1266C2×Q8—1182no—
1267C2×Q8—1182no—
1268C2×Q8—2361no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—41no—
1272C2×D4—594no—
1273C2×D4—594no—
1274C2×D4—1182no—
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—1182no—
1295C2×D4—1182no—
1296C2×D4—1182no—
1297C2×D4—1182no—
1298C2×D4—2361no—
1299C2×D4—2361no—
1300C2×D4—2361no—
1301C2×D4—2361no—
1302C2×D4—2361no—
1303C2×D4—2361no—
1304C2×D4—2361no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—41no—
1311C22×C4—591no—
1312C22×C4—594no—
1313C22×C4—594no—
1314C22×C4—591no—
1315C22×C4—591no—
1316C22×C4—591no—
1317C22×C4—591no—
1318C22×C4—591no—
1319C22×C4—594no—
1320C22×C4—594no—
1321C22×C4—591no—
1322C22×C4—591no—
1323C22×C4—591no—
1324C22×C4—591no—
1325C22×C4—591no—
1326C22×C4—591no—
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—1182no—
1353C22×C4—1182no—
1354C22×C4—1182no—
1355C22×C4—1182no—
1356C22×C4—1182no—
1357C22×C4—1182no—
1358C22×C4—1182no—
1359C22×C4—1182no—
1360C22×C4—2361no—
1361C22×C4—2361no—
1362C22×C4—2361no—
1363C22×C4—2361no—
1364C22×C4—2361no—
1365C22×C4—2361no—
1366C22×C4—2361no—
1367C22×C4—23616no—
1368C22×C4—2361no—
1369C22×C4C23×D5911yescharacteristic
1370C22×C4C23×D5911yescharacteristic
1371C22×C4C23×D5911yescharacteristic
1372C22×C4C23×D5911yescharacteristic
1373C22×C4C23×D5911yescharacteristic
1374C22×C4C23×D5911yescharacteristic
1375C22×C4C23×D5911yescharacteristic
1376C22×C4C23×D5911yescharacteristic
1377C22×C4C23×D5911yescharacteristic
1378C22×C4C23×D5911yescharacteristic
1379C22×C4C23×D5911yescharacteristic
1380C22×C4C23×D5911yescharacteristic
1381C22×C4C23×D5911yescharacteristic
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—41no—
1390C4⋊C4—41no—
1391C4⋊C4—594no—
1392C4⋊C4—1182no—
1393C4⋊C4—1182no—
1394C4⋊C4—1182no—
1395C4⋊C4—1182no—
1396C4⋊C4—1182no—
1397C4⋊C4—1182no—
1398C4⋊C4—1182no—
1399C4⋊C4—1182no—
1400C4⋊C4—1182no—
1401C4⋊C4—1182no—
1402C4⋊C4—2361no—
1403C4⋊C4—2361no—
1404C4⋊C4—2361no—
1405C4⋊C4—2361no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—41no—
1415C22⋊C4—594no—
1416C22⋊C4—594no—
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—2361no—
1442C22⋊C4—2361no—
1443C22⋊C4—2361no—
1444C22⋊C4—2361no—
1445C22⋊C4—2361no—
1446C22⋊C4—2361no—
1447C22⋊C4—2361no—
1448C22⋊C4—2361no—
1449C22⋊C4—2361no—
1450C22⋊C4—2361no—
1451C22⋊C4D4×D5914yes—
1452C42—22no—
1453C42—22no—
1454C42—41no—
1455C42—594no—
1456C42—1182no—
1457C42—1182no—
1458C42—1182no—
1459C42—1182no—
1460C42—1182no—
1461C42—1182no—
1462C42—1182no—
1463C42—1182no—
1464C42—1182no—
1465C42—1182no—
1466C42—1182no—
1467C42—1182no—
1468C42—2361no—
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—592no—
1482C23—592no—
1483C23—592no—
1484C23—592no—
1485C23—592no—
1486C23—1188no—
1487C23—1181no—
1488C23—1181no—
1489C23—1181no—
1490C23—1181no—
1491C23—1181no—
1492C23—1181no—
1493C23—1181no—
1494C23—1181no—
1495C23—1181no—
1496C23—1181no—
1497C23—1181no—
1498C23—1181no—
1499C23—1181no—
1500C23—1181no—
1501C23—1181no—
1502C23—1181no—
1503C23—1181no—
1504C23—1181no—
1505C23—1181no—
1506C23—1181no—
1507C23—1181no—
1508C23—1181no—
1509C23—1181no—
1510C23—2364no—
1511C23—2364no—
1512C23—2364no—
1513C23—2364no—
1514C23—2364no—
1515C23—2364no—
1516C23C2×D4×D5912yes—
1517C23#41×D5912yes—
1518C23C24×D5911yescharacteristic
1519Q8—1188no—
1520Q8—2364no—
1521D4—44no—
1522D4—1188no—
1523D4—1188no—
1524D4—1188no—
1525D4—2364no—
1526D4—2364no—
1527D4—2364no—
1528D4—2364no—
1529D4—2364no—
1530D4—2364no—
1531D4—2364no—
1532D4—2364no—
1533C2×C4—28no—
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—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—44no—
1569C2×C4—592no—
1570C2×C4—592no—
1571C2×C4—592no—
1572C2×C4—592no—
1573C2×C4—592no—
1574C2×C4—592no—
1575C2×C4—592no—
1576C2×C4—592no—
1577C2×C4—1188no—
1578C2×C4—1188no—
1579C2×C4—1188no—
1580C2×C4—1188no—
1581C2×C4—1188no—
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—1181no—
1605C2×C4—1181no—
1606C2×C4—1181no—
1607C2×C4—1181no—
1608C2×C4—1181no—
1609C2×C4—1181no—
1610C2×C4—2364no—
1611C2×C4—2364no—
1612C2×C4—2364no—
1613C2×C4—2364no—
1614C2×C4—2364no—
1615C2×C4—2364no—
1616C2×C4—2364no—
1617C2×C4—2364no—
1618C2×C4—2364no—
1619C2×C4—2364no—
1620C2×C4C2×D4×D5912yes—
1621C2×C4C2×D4×D5912yes—
1622C2×C4#41×D5912yes—
1623C2×C4#41×D5912yes—
1624C2×C4#41×D5912yes—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—594no—
1640C22—1182no—
1641C22—1182no—
1642C22—1182no—
1643C22—1182no—
1644C22—1182no—
1645C22—1182no—
1646C22—1182no—
1647C22—1182no—
1648C22—1182no—
1649C22—1182no—
1650C22—1182no—
1651C22—1182no—
1652C22—23616no—
1653C22—2361no—
1654C22—2361no—
1655C22—2361no—
1656C22—2361no—
1657C22—2361no—
1658C22—2361no—
1659C22—2361no—
1660C22—2361no—
1661C22—2361no—
1662C22—2361no—
1663C22—2361no—
1664C22—2361no—
1665C22—2361no—
1666C22—2361no—
1667C22—2361no—
1668C22C22×D4×D5911yescharacteristic
1669C22C2×#41×D5911yescharacteristic
1670C22C2×#41×D5911yescharacteristic
1671C22C2×#41×D5911yescharacteristic
1672C22C2×#41×D5911yescharacteristic
1673C22H(5,𝔽2)×D5911yescharacteristic
1674C22#1683823911yescharacteristic
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—22no—
1679C4—22no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—594no—
1689C4—1182no—
1690C4—1182no—
1691C4—1182no—
1692C4—1182no—
1693C4—1182no—
1694C4—2361no—
1695C4—2361no—
1696C4—2361no—
1697C4—2361no—
1698C4—2361no—
1699C4—2361no—
1700C2—42no—
1701C2—42no—
1702C2—1184no—
1703C2—4721no—
1704C2—2362no—
1705C2—2362no—
1706C2#525×D5911yescharacteristic
1707C2#2143739011yescharacteristic
1708C2#2143751611yescharacteristic
1709C2#546×D5911yescharacteristic
1710C2#2143758311yescharacteristic
1711C2#2143766111yescharacteristic
1712C2#2143770311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2470C2
hypercenter#2470D59
hypocenterC59#34732
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2470

Complements

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

NH ≅ G/Ntype
1. C2×#16837910C2semidirect
2. C2×#16837870C2semidirect
3. #21428299C2semidirect
4. #21428276C2semidirect
5. #21428207C2semidirect
6. #21428123C2semidirect
7. #21428100C2semidirect
8. #21428022C2semidirect
9. #21427999C2semidirect
10. #21427923C2semidirect
11. #21427841C2semidirect
12. #21427779C2semidirect
13. #21427705C2semidirect
14. #21427627C2semidirect
15. #21427553C2semidirect
16. #21427480C2semidirect
17. #21427413C2semidirect
18. #21427385C2semidirect
19. #21427371C2semidirect
20. #21427333C2semidirect
21. #21427310C2semidirect
22. #21426617C2semidirect
23. #21426615C2semidirect
24. #21426604C2semidirect
25. #21426604C2semidirect
26. #21426597C2semidirect
27. #21426581C2semidirect
28. #21426538C2semidirect
29. #21426538C2semidirect
30. C4×C22⋊C4×D59C2semidirect
31. C59×#2470C2semidirect
49. C2×#14273692C22semidirect
50. C2×#14273692C22semidirect
56. C2×#14273689C22semidirect
61. C2×(C22⋊D59)⋊C4C22semidirect
62. C2×(C22⋊D59)⋊C4C22semidirect
64. C2×#14273684C22semidirect
66. C2×#14273683C22semidirect
69. C22×C4×Dic59C22semidirect
72. C2×C42×D59C22semidirect
73. #16837343C22semidirect
74. #16837340C22semidirect
76. #16837335C22semidirect
77. #16837333C22semidirect
78. #16837332C22semidirect
80. #16837331C22semidirect
82. #16837326C22semidirect
84. #16837322C22semidirect
85. #16837322C22semidirect
91. #16837317C22semidirect
92. #16837317C22semidirect
94. #16837315C22semidirect
95. #16837315C22semidirect
99. #16837311C22semidirect
101. #16837306C22semidirect
102. #16837306C22semidirect
104. #16837304C22semidirect
108. #16837295C22semidirect
109. #16837294C22semidirect
110. #16837293C22semidirect
114. #16837292C22semidirect
115. #16837292C22semidirect
116. #16837292C22semidirect
117. #16837286C22semidirect
118. #16837286C22semidirect
119. #16837285C22semidirect
120. #16837285C22semidirect
121. #16837284C22semidirect
122. #16837284C22semidirect
123. #16837283C22semidirect
127. #16837281C22semidirect
134. #16837280C22semidirect
135. #16837279C22semidirect
142. #16837276C22semidirect
146. #16837273C22semidirect
148. #16837263C22semidirect
150. #16837259C22semidirect
152. C4⋊C4×Dic59C22semidirect
153. C4⋊C4×Dic59C22semidirect
154. C4⋊C4×Dic59C22semidirect
155. #16837253C22semidirect
159. C22⋊C4×Dic59C22semidirect
167. #16837249C22semidirect
168. #16837249C22semidirect
169. #16837249C22semidirect
170. #16837249C22semidirect
171. #16837247C22semidirect
175. C2×#117×C59C22semidirect
176. C59×#400C22semidirect
177. C59×#397C22semidirect
180. C59×#389C22semidirect
181. C59×#389C22semidirect
183. C59×#388C22semidirect
184. C59×#387C22semidirect
187. C59×#385C22semidirect
252. (C22⋊D59)⋊C4D4semidirect
452. C22×Dic59#41semidirect
481. C2×D236#41semidirect
518. C2×C4×D59#41semidirect
582. (C2×D59)⋊C4#41semidirect
849. #2470D59semidirect
924. C2×#117C2×D59semidirect
933. #400C2×D59semidirect
940. #397C2×D59semidirect
969. #389C2×D59semidirect
970. #389C2×D59semidirect
982. #388C2×D59semidirect
990. #387C2×D59semidirect
1016. #385C2×D59semidirect
1045. C59#34732semidirect

Maximal subgroups

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

subgroupindex
C2×#168379102
C2×#168378702
#214282992
#214282762
#214282072
#214281232
#214281002
#214280222
#214279992
#214279232
#214278412
#214277792
#214277052
#214276272
#214275532
#214274802
#214274132
#214273852
#214273712
#214273332
#214273102
#214266172
#214266152
#214266042
#214265972
#214265812
#214265382
C4×C22⋊C4×D592
C59×#24702
#3473259