Finite Group Databasebeta

← #28757501

Subgroups — #28757501

Order 15104.

2668 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837931C211yesmaximal, characteristic, complemented
2C2×#117×D59C211yesmaximal, characteristic, complemented
3#21428358C211yesmaximal, characteristic, complemented
4#21428335C211yesmaximal, characteristic, complemented
5#21428332C211yesmaximal, characteristic, complemented
6#21428309C211yesmaximal, characteristic, complemented
7#21428304C211yesmaximal, characteristic, complemented
8#21428281C211yesmaximal, characteristic, complemented
9#21428267C211yesmaximal, characteristic, complemented
10#21428241C211yesmaximal, characteristic, complemented
11#21428218C211yesmaximal, characteristic, complemented
12#21428209C211yesmaximal, characteristic, complemented
13#21428186C211yesmaximal, characteristic, complemented
14#21427898C211yesmaximal, characteristic, complemented
15#21427838C211yesmaximal, characteristic, complemented
16#21427625C211yesmaximal, characteristic
17#21427563C211yesmaximal, characteristic, complemented
18#21427367C211yesmaximal, characteristic, complemented
19#21427354C211yesmaximal, characteristic, complemented
20#21427352C211yesmaximal, characteristic, complemented
21#21427341C211yesmaximal, characteristic, complemented
22#21426634C211yesmaximal, characteristic, complemented
23#21426608C211yesmaximal, characteristic, complemented
24#21426601C211yesmaximal, characteristic, complemented
25#21426597C211yesmaximal, characteristic, complemented
26#21426590C211yesmaximal, characteristic, complemented
27#21426556C211yesmaximal, characteristic, complemented
28#21426538C211yesmaximal, characteristic, complemented
29#21426534C211yesmaximal, characteristic, complemented
30C4×#14273689C211yesmaximal, characteristic, complemented
31C59×#2474C211yesmaximal, characteristic, complemented
32C23×C4×D59C2211yescharacteristic
33#16837931—28no—
34C2×#14273720C2211yescharacteristic
35C2×#14273720C2211yescharacteristic, complemented
36C2×#14273719C2211yescharacteristic, complemented
37C2×#14273709C2211yescharacteristic
38C2×#14273709C2211yescharacteristic, complemented
39C2×#14273703C2211yescharacteristic
40C2×#14273703C2211yescharacteristic, complemented
41C2×#14273700C2211yescharacteristic
42C2×#14273698C2211yescharacteristic
43C2×#14273697C2211yescharacteristic
44C2×#14273695C2211yescharacteristic
45C2×Q8×Dic59C2211yescharacteristic, complemented
46C2×C4×D236C2211yescharacteristic
47C2×D4×Dic59C2211yescharacteristic
48C2×#14273689C2211yescharacteristic
49C2×#14273689C2211yescharacteristic
50C2×#14273689C2211yescharacteristic
51C2×(C22⋊D59)⋊C4C2211yescharacteristic
52C2×(C22⋊D59)⋊C4C2211yescharacteristic
53C2×(C22⋊D59)⋊C4C2211yescharacteristic
54C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
55C2×#14273686C2211yescharacteristic
56C2×#14273685C2211yescharacteristic
57C2×#14273685C2211yescharacteristic
58C2×#14273684C2211yescharacteristic
59C2×#14273684C2211yescharacteristic
60C2×#14273683C2211yescharacteristic
61C2×#14273683C2211yescharacteristic
62C2×#14273683C2211yescharacteristic, complemented
63#117×D59—28no—
64C2×C4⋊C4×D59C2211yescharacteristic
65C2×C4⋊C4×D59C2211yescharacteristic
66C2×C22⋊C4×D59C2211yescharacteristic
67C2×C22⋊C4×D59C2211yescharacteristic
68C2×C42×D59C2211yescharacteristic
69C2×C42×D59C2211yescharacteristic
70C2×C42×D59C2211yescharacteristic, complemented
71#16837344C2211yescharacteristic, complemented
72#16837343C2211yescharacteristic, complemented
73#16837341C2211yescharacteristic, complemented
74#16837339C2211yescharacteristic
75#16837338C2211yescharacteristic, complemented
76#16837337C2211yescharacteristic, complemented
77#16837336C2211yescharacteristic, complemented
78#16837335C2211yescharacteristic, complemented
79#16837335C2211yescharacteristic, complemented
80#16837334C2211yescharacteristic, complemented
81#16837334C2211yescharacteristic, complemented
82#16837331C2211yescharacteristic
83#16837331C2211yescharacteristic, complemented
84#16837330C2211yescharacteristic
85#16837330C2211yescharacteristic
86#16837330C2211yescharacteristic, complemented
87#16837327C2211yescharacteristic
88#16837324C2211yescharacteristic
89#16837324C2211yescharacteristic
90#16837324C2211yescharacteristic, complemented
91#16837319C2211yescharacteristic
92#16837318C2211yescharacteristic
93#16837318C2211yescharacteristic
94#16837318C2211yescharacteristic, complemented
95#16837317C2211yescharacteristic
96#16837316C2211yescharacteristic
97#16837313C2211yescharacteristic
98#16837311C2211yescharacteristic
99#16837302C2211yescharacteristic
100#16837302C2211yescharacteristic
101#16837302C2211yescharacteristic, complemented
102#16837300C2211yescharacteristic, complemented
103#16837299C2211yescharacteristic, complemented
104#16837297C2211yescharacteristic, complemented
105#16837297C2211yescharacteristic, complemented
106#16837296C2211yescharacteristic
107#16837295C2211yescharacteristic
108#16837295C2211yescharacteristic, complemented
109#16837295C2211yescharacteristic, complemented
110#16837293C2211yescharacteristic
111#16837293C2211yescharacteristic
112#16837293C2211yescharacteristic, complemented
113#16837291C2211yescharacteristic
114#16837291C2211yescharacteristic
115#16837290C2211yescharacteristic
116#16837289C2211yescharacteristic, complemented
117#16837289C2211yescharacteristic, complemented
118#16837289C2211yescharacteristic, complemented
119#16837288C2211yescharacteristic, complemented
120#16837286C2211yescharacteristic, complemented
121#16837286C2211yescharacteristic, complemented
122#16837284C2211yescharacteristic, complemented
123#16837284C2211yescharacteristic, complemented
124#16837283C2211yescharacteristic, complemented
125#16837281C2211yescharacteristic
126#16837280C2211yescharacteristic
127#16837280C2211yescharacteristic
128#16837280C2211yescharacteristic
129#16837280C2211yescharacteristic
130#16837280C2211yescharacteristic
131#16837278C2211yescharacteristic
132#16837278C2211yescharacteristic
133#16837278C2211yescharacteristic
134#16837278C2211yescharacteristic
135#16837278C2211yescharacteristic
136#16837276C2211yescharacteristic
137#16837276C2211yescharacteristic
138#16837276C2211yescharacteristic
139#16837276C2211yescharacteristic
140#16837276C2211yescharacteristic
141#16837276C2211yescharacteristic, complemented
142#16837275C2211yescharacteristic
143#16837273C2211yescharacteristic
144#16837273C2211yescharacteristic
145#16837273C2211yescharacteristic
146#16837273C2211yescharacteristic, complemented
147#16837261C2211yescharacteristic
148#16837259C2211yescharacteristic
149#16837257C2211yescharacteristic
150#16837257C2211yescharacteristic
151C4⋊C4×Dic59C2211yescharacteristic, complemented
152C4⋊C4×Dic59C2211yescharacteristic, complemented
153C4⋊C4×Dic59C2211yescharacteristic, complemented
154C4⋊C4×Dic59C2211yescharacteristic, complemented
155#16837253C2211yescharacteristic, complemented
156#16837253C2211yescharacteristic, complemented
157#16837253C2211yescharacteristic, complemented
158C22⋊C4×Dic59C2211yescharacteristic
159C22⋊C4×Dic59C2211yescharacteristic
160C22⋊C4×Dic59C2211yescharacteristic, complemented
161C22⋊C4×Dic59C2211yescharacteristic, complemented
162C4×(C2×D59)⋊C4C2211yescharacteristic
163C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
164#16837249C2211yescharacteristic
165#16837249C2211yescharacteristic
166#16837249C2211yescharacteristic
167#16837249C2211yescharacteristic
168#16837249C2211yescharacteristic
169#16837249C2211yescharacteristic, complemented
170#16837249C2211yescharacteristic, complemented
171#16837249C2211yescharacteristic, complemented
172#16837247C2211yescharacteristic, complemented
173C42×Dic59C2211yescharacteristic, complemented
174C2×#124×C59C2211yescharacteristic
175C2×#117×C59C2211yescharacteristic
176C59×#397C2211yescharacteristic
177C59×#396C2211yescharacteristic, complemented
178C59×#395C2211yescharacteristic, complemented
179C59×#394C2211yescharacteristic
180C59×#391C2211yescharacteristic, complemented
181C59×#388C2211yescharacteristic
182C59×#388C2211yescharacteristic, complemented
183C59×#388C2211yescharacteristic, complemented
184C59×#388C2211yescharacteristic, complemented
185C59×#387C2211yescharacteristic, complemented
186C59×#386C2211yescharacteristic
187C59×#385C2211yescharacteristic
188C4×C4⋊C4×C59C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C22×D236C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C23×Dic59C2311yescharacteristic
197C23×Dic59C2311yescharacteristic
198C22×C4×D59—24no—
199C22×C4×D59—24no—
200C22×C4×D59—24no—
201C22×C4×D59C2311yescharacteristic
202C22×C4×D59C2311yescharacteristic
203C22×C4×D59C2311yescharacteristic
204C22×C4×D59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212#14273720—24no—
213#14273720—24no—
214#14273719—24no—
215#14273709—24no—
216#14273709—24no—
217#14273703—24no—
218#14273703—24no—
219#14273700—24no—
220#14273698—24no—
221#14273697—24no—
222#14273695—24no—
223Q8×Dic59—24no—
224C4×D236—24no—
225D4×Dic59—24no—
226#14273689—24no—
227#14273689—24no—
228#14273689—24no—
229(C22⋊D59)⋊C4—24no—
230(C22⋊D59)⋊C4—24no—
231(C22⋊D59)⋊C4—24no—
232(C22⋊D59)⋊C4—24no—
233#14273686—24no—
234#14273685—24no—
235#14273685—24no—
236#14273684—24no—
237#14273684—24no—
238#14273683—24no—
239#14273683—24no—
240#14273683D418yescomplemented
241C2×C4⋊Dic59C2311yescharacteristic
242C2×C4⋊Dic59C2311yescharacteristic
243C2×C4⋊Dic59C2311yescharacteristic
244C2×C4⋊Dic59C2311yescharacteristic
245C2×C4⋊Dic59C2311yescharacteristic
246C2×C4⋊Dic59C2311yescharacteristic
247C2×C4⋊Dic59C2311yescharacteristic
248C2×C4⋊Dic59C2311yescharacteristic
249C2×C4⋊Dic59C2311yescharacteristic
250C2×Dic59⋊C4C2311yescharacteristic
251C2×Dic59⋊C4C2311yescharacteristic
252C2×Dic59⋊C4C2311yescharacteristic
253C2×Dic59⋊C4C2311yescharacteristic
254C2×Dic59⋊C4C2311yescharacteristic
255C2×Dic59⋊C4C2311yescharacteristic
256C2×Dic59⋊C4C2311yescharacteristic
257C2×Dic59⋊C4C2311yescharacteristic
258C2×Dic59⋊C4C2311yescharacteristic
259C2×Dic59⋊C4C2311yescharacteristic
260C2×Dic59⋊C4C2311yescharacteristic
261C2×Dic59⋊C4C2311yescharacteristic
262C2×Dic59⋊C4C2311yescharacteristic
263C2×Dic59⋊C4C2311yescharacteristic
264C2×Dic59⋊C4C2311yescharacteristic
265C2×Dic59⋊C4C2311yescharacteristic
266C4⋊C4×D59—24no—
267C4⋊C4×D59—24no—
268C2×C22⋊Dic59C2311yescharacteristic
269C2×C22⋊Dic59C2311yescharacteristic
270C2×C22⋊Dic59C2311yescharacteristic
271C2×C22⋊Dic59C2311yescharacteristic
272C2×C22⋊Dic59C2311yescharacteristic
273C2×C22⋊Dic59C2311yescharacteristic
274C2×C22⋊Dic59C2311yescharacteristic
275C2×C22⋊Dic59C2311yescharacteristic
276C2×C22⋊Dic59C2311yescharacteristic
277C2×(C2×D59)⋊C4C2311yescharacteristic
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
301C22⋊C4×D59—24no—
302C22⋊C4×D59—24no—
303C2×C4×Dic59C2311yescharacteristic
304C2×C4×Dic59C2311yescharacteristic
305C2×C4×Dic59C2311yescharacteristic
306C2×C4×Dic59C2311yescharacteristic
307C2×C4×Dic59C2311yescharacteristic
308C2×C4×Dic59C2311yescharacteristic
309C2×C4×Dic59C2311yescharacteristic
310C2×C4×Dic59C2311yescharacteristic
311C2×C4×Dic59C2311yescharacteristic
312C2×C4×Dic59C2311yescharacteristic
313C2×C4×Dic59C2311yescharacteristic
314C2×C4×Dic59C2311yescharacteristic
315C2×C4×Dic59C2311yescharacteristic
316C2×C4×Dic59C2311yescharacteristic
317C2×C4×Dic59C2311yescharacteristic
318C2×C4×Dic59C2311yescharacteristic
319C42×D59—24no—
320C42×D59—24no—
321C42×D59—24no—
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C59⋊#95C2311yescharacteristic
339C59⋊#95C2311yescharacteristic
340C59⋊#95C2311yescharacteristic
341C59⋊#95C2311yescharacteristic
342C59⋊#95C2311yescharacteristic
343C59⋊#95C2311yescharacteristic
344C59⋊#95C2311yescharacteristic
345C59⋊#95C2311yescharacteristic
346C59⋊#95C2311yescharacteristic
347C59⋊#95C2311yescharacteristic
348C22×Q8×C59C2311yescharacteristic
349C22×D4×C59C2311yescharacteristic
350C23×C4×C59C2311yescharacteristic
351#124×C59—24no—
352#117×C59—24no—
353C2×C4⋊C4×C59C2311yescharacteristic
354C2×C4⋊C4×C59C2311yescharacteristic
355C2×C4⋊C4×C59C2311yescharacteristic
356C2×C4⋊C4×C59C2311yescharacteristic
357C2×C4⋊C4×C59C2311yescharacteristic
358C2×C4⋊C4×C59C2311yescharacteristic
359C2×C4⋊C4×C59C2311yescharacteristic
360C2×C22⋊C4×C59C2311yescharacteristic
361C2×C22⋊C4×C59C2311yescharacteristic
362C2×C22⋊C4×C59C2311yescharacteristic
363C2×C22⋊C4×C59C2311yescharacteristic
364C2×C22⋊C4×C59C2311yescharacteristic
365C2×C22⋊C4×C59C2311yescharacteristic
366C2×C22⋊C4×C59C2311yescharacteristic
367C2×C22⋊C4×C59C2311yescharacteristic
368C2×C22⋊C4×C59C2311yescharacteristic
369C2×C22⋊C4×C59C2311yescharacteristic
370C2×C22⋊C4×C59C2311yescharacteristic
371C2×C42×C59C2311yescharacteristic
372C2×C42×C59C2311yescharacteristic
373C2×C42×C59C2311yescharacteristic
374C2×C42×C59C2311yescharacteristic
375#95×C59C2311yescharacteristic
376#95×C59C2311yescharacteristic
377#95×C59C2311yescharacteristic
378#95×C59C2311yescharacteristic
379#95×C59C2311yescharacteristic
380#95×C59C2311yescharacteristic
381#95×C59C2311yescharacteristic
382#95×C59C2311yescharacteristic
383#95×C59C2311yescharacteristic
384#95×C59C2311yescharacteristic
385C24×C59C2411yescharacteristic
386C24×C59C2411yescharacteristic
387C23×D59—22no—
388C23×D59—22no—
389C23×D59—22no—
390C23×D59—22no—
391C23×D59—22no—
392C23×D59—41no—
393C23×D59—41no—
394C23×D59C2411yescharacteristic
395C23×D59C2411yescharacteristic
396C23×D59C2411yescharacteristic
397C2×Q8×C59—22no—
398C2×Q8×C59—22no—
399C2×Q8×C59—41no—
400C2×D4×C59—22no—
401C2×D4×C59—22no—
402C2×D4×C59—41no—
403C22×C4×C59—22no—
404C22×C4×C59—22no—
405C22×C4×C59—22no—
406C22×C4×C59C2411yescharacteristic
407C22×C4×C59C2411yescharacteristic
408C22×C4×C59C2411yescharacteristic
409C22×C4×C59C2411yescharacteristic
410C22×C4×C59C2411yescharacteristic
411C22×C4×C59C2411yescharacteristic
412C22×C4×C59C2411yescharacteristic
413C22×C4×C59C2411yescharacteristic
414C22×C4×C59C2411yescharacteristic
415C22×C4×C59C2411yescharacteristic
416C22×C4×C59C2411yescharacteristic
417C22×C4×C59C2411yescharacteristic
418C22×C4×C59C2411yescharacteristic
419C2×C22⋊D59—22no—
420C2×C22⋊D59—22no—
421C2×C22⋊D59—22no—
422C2×C22⋊D59—22no—
423C2×C22⋊D59—22no—
424C2×C22⋊D59—22no—
425C2×C22⋊D59—22no—
426C2×C22⋊D59—22no—
427C2×C22⋊D59—22no—
428C2×C22⋊D59—41no—
429C2×C22⋊D59—41no—
430C2×C22⋊D59—41no—
431C22×Dic59—22no—
432C22×Dic59—22no—
433C22×Dic59—22no—
434C22×Dic59—22no—
435C22×Dic59—22no—
436C22×Dic59C2×D414yes—
437C22×Dic59C2411yescharacteristic
438C22×Dic59C2411yescharacteristic
439C22×Dic59C2411yescharacteristic
440C22×Dic59C2411yescharacteristic
441C22×Dic59C2411yescharacteristic
442C22×Dic59C2411yescharacteristic
443C22×Dic59C2411yescharacteristic
444C22×Dic59C2411yescharacteristic
445C22×Dic59C2411yescharacteristic
446C22×Dic59C2411yescharacteristic
447C22×Dic59C2411yescharacteristic
448C22×Dic59C2411yescharacteristic
449C22×Dic59C2411yescharacteristic
450C2×D236—22no—
451C2×D236—22no—
452C2×D236—22no—
453C2×D236—22no—
454C2×D236—41no—
455C2×D236#4114yes—
456C2×C4×D59—232no—
457C2×C4×D59—22no—
458C2×C4×D59—22no—
459C2×C4×D59—22no—
460C2×C4×D59—22no—
461C2×C4×D59—22no—
462C2×C4×D59—22no—
463C2×C4×D59—22no—
464C2×C4×D59—22no—
465C2×C4×D59—22no—
466C2×C4×D59—22no—
467C2×C4×D59—22no—
468C2×C4×D59—22no—
469C2×C4×D59—22no—
470C2×C4×D59—22no—
471C2×C4×D59—22no—
472C2×C4×D59—22no—
473C2×C4×D59—22no—
474C2×C4×D59—22no—
475C2×C4×D59—22no—
476C2×C4×D59—22no—
477C2×C4×D59—22no—
478C2×C4×D59—22no—
479C2×C4×D59—22no—
480C2×C4×D59—22no—
481C2×C4×D59—22no—
482C2×C4×D59—41no—
483C2×C4×D59—41no—
484C2×C4×D59—41no—
485C2×C4×D59—41no—
486C2×C4×D59—41no—
487C2×C4×D59—41no—
488C2×C4×D59#4114yes—
489C2×C4×D59#4114yes—
490C4⋊C4×C59—22no—
491C4⋊C4×C59—22no—
492C4⋊C4×C59—22no—
493C4⋊C4×C59—22no—
494C4⋊C4×C59—22no—
495C4⋊C4×C59—41no—
496C4⋊C4×C59—41no—
497C22⋊C4×C59—22no—
498C22⋊C4×C59—22no—
499C22⋊C4×C59—22no—
500C22⋊C4×C59—22no—
501C22⋊C4×C59—22no—
502C22⋊C4×C59—22no—
503C22⋊C4×C59—22no—
504C22⋊C4×C59—22no—
505C22⋊C4×C59—41no—
506C22⋊C4×C59—41no—
507C22⋊C4×C59C2×D414yes—
508C42×C59—22no—
509C42×C59—22no—
510C42×C59—22no—
511C42×C59—22no—
512C22⋊Dic59—22no—
513C22⋊Dic59—22no—
514C22⋊Dic59—22no—
515C22⋊Dic59—22no—
516C22⋊Dic59—22no—
517C22⋊Dic59—41no—
518C22⋊Dic59—41no—
519C22⋊Dic59—41no—
520C22⋊Dic59C2×D414yes—
521(C2×D59)⋊C4—22no—
522(C2×D59)⋊C4—22no—
523(C2×D59)⋊C4—22no—
524(C2×D59)⋊C4—22no—
525(C2×D59)⋊C4—22no—
526(C2×D59)⋊C4—22no—
527(C2×D59)⋊C4—22no—
528(C2×D59)⋊C4—22no—
529(C2×D59)⋊C4—22no—
530(C2×D59)⋊C4—22no—
531(C2×D59)⋊C4—22no—
532(C2×D59)⋊C4—22no—
533(C2×D59)⋊C4—22no—
534(C2×D59)⋊C4—22no—
535(C2×D59)⋊C4—22no—
536(C2×D59)⋊C4—22no—
537(C2×D59)⋊C4—22no—
538(C2×D59)⋊C4—22no—
539(C2×D59)⋊C4—22no—
540(C2×D59)⋊C4—22no—
541(C2×D59)⋊C4—41no—
542(C2×D59)⋊C4—41no—
543(C2×D59)⋊C4—41no—
544(C2×D59)⋊C4#4114yes—
545C4⋊Dic59—22no—
546C4⋊Dic59—22no—
547C4⋊Dic59—22no—
548C4⋊Dic59—22no—
549C4⋊Dic59—22no—
550C4⋊Dic59—22no—
551C4⋊Dic59—22no—
552C4⋊Dic59—22no—
553C4⋊Dic59—41no—
554Dic59⋊C4—22no—
555Dic59⋊C4—22no—
556Dic59⋊C4—22no—
557Dic59⋊C4—22no—
558Dic59⋊C4—22no—
559Dic59⋊C4—22no—
560Dic59⋊C4—22no—
561Dic59⋊C4—22no—
562Dic59⋊C4—22no—
563Dic59⋊C4—22no—
564Dic59⋊C4—22no—
565Dic59⋊C4—41no—
566Dic59⋊C4—41no—
567Dic59⋊C4—41no—
568Dic59⋊C4C2×D414yes—
569Dic59⋊C4C2×D414yes—
570C4×Dic59—22no—
571C4×Dic59—22no—
572C4×Dic59—22no—
573C4×Dic59—22no—
574C4×Dic59—22no—
575C4×Dic59—22no—
576C4×Dic59—22no—
577C4×Dic59—22no—
578C4×Dic59—22no—
579C4×Dic59—22no—
580C4×Dic59—22no—
581C4×Dic59—22no—
582C4×Dic59—41no—
583C4×Dic59—41no—
584C4×Dic59C2×D414yes—
585C4×Dic59C2×D414yes—
586C23×C59—21no—
587C23×C59—21no—
588C23×C59—21no—
589C23×C59—21no—
590C23×C59—21no—
591C23×C59—21no—
592C23×C59—21no—
593C23×C59—21no—
594C23×C59—21no—
595C23×C59—21no—
596C23×C59—21no—
597C23×C59—21no—
598C23×C59—21no—
599C23×C59C22×D412yes—
600C23×C59C2511yescharacteristic
601C22×D59—21no—
602C22×D59—21no—
603C22×D59—21no—
604C22×D59—21no—
605C22×D59—28no—
606C22×D59—21no—
607C22×D59—21no—
608C22×D59—21no—
609C22×D59—21no—
610C22×D59—21no—
611C22×D59—21no—
612C22×D59—21no—
613C22×D59—21no—
614C22×D59—21no—
615C22×D59—21no—
616C22×D59—21no—
617C22×D59—21no—
618C22×D59—44no—
619C22×D59—44no—
620C22×D59—44no—
621C22×D59—44no—
622C22×D59—44no—
623C22×D59—44no—
624C22×D59C2×#4112yes—
625C22×D59C2×#4112yes—
626C22×D59C2×#4112yes—
627C22×D59C2×#4112yes—
628C22×D59C2×#4112yes—
629Q8×C59—44no—
630D4×C59—44no—
631C2×C4×C59—28no—
632C2×C4×C59—21no—
633C2×C4×C59—21no—
634C2×C4×C59—21no—
635C2×C4×C59—21no—
636C2×C4×C59—21no—
637C2×C4×C59—21no—
638C2×C4×C59—21no—
639C2×C4×C59—21no—
640C2×C4×C59—21no—
641C2×C4×C59—21no—
642C2×C4×C59—21no—
643C2×C4×C59—21no—
644C2×C4×C59—21no—
645C2×C4×C59—21no—
646C2×C4×C59—21no—
647C2×C4×C59—21no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—21no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59—21no—
665C2×C4×C59C22×D412yes—
666C2×C4×C59C22×D412yes—
667C2×C4×C59C2×#4112yes—
668C2×C4×C59C2×#4112yes—
669C2×C4×C59C2×#4112yes—
670C2×C4×C59C2×#4112yes—
671C22⋊D59—44no—
672C22⋊D59—44no—
673C22⋊D59—44no—
674C22⋊D59—44no—
675C2×Dic59—21no—
676C2×Dic59—21no—
677C2×Dic59—21no—
678C2×Dic59—21no—
679C2×Dic59—21no—
680C2×Dic59—21no—
681C2×Dic59—21no—
682C2×Dic59—21no—
683C2×Dic59—28no—
684C2×Dic59—21no—
685C2×Dic59—21no—
686C2×Dic59—21no—
687C2×Dic59—21no—
688C2×Dic59—21no—
689C2×Dic59—21no—
690C2×Dic59—21no—
691C2×Dic59—21no—
692C2×Dic59—21no—
693C2×Dic59—21no—
694C2×Dic59—21no—
695C2×Dic59—21no—
696C2×Dic59—21no—
697C2×Dic59—21no—
698C2×Dic59—21no—
699C2×Dic59—21no—
700C2×Dic59—21no—
701C2×Dic59—21no—
702C2×Dic59—21no—
703C2×Dic59—21no—
704C2×Dic59—21no—
705C2×Dic59—21no—
706C2×Dic59—21no—
707C2×Dic59—21no—
708C2×Dic59—44no—
709C2×Dic59C22×D412yes—
710C2×Dic59C22×D412yes—
711C2×Dic59C22×D412yes—
712C2×Dic59C22×D412yes—
713C2×Dic59C2×#4112yes—
714C2×Dic59C2×#4112yes—
715C2×Dic59C2×#4112yes—
716D236—28no—
717D236—44no—
718C4×D59—28no—
719C4×D59—28no—
720C4×D59—28no—
721C4×D59—28no—
722C4×D59—44no—
723C4×D59—44no—
724C4×D59—44no—
725C4×D59—44no—
726C4×D59—44no—
727C4×D59—44no—
728C4×D59—44no—
729#34740—591nomaximal, Sylow
730C22×C59—22no—
731C22×C59—22no—
732C22×C59—22no—
733C22×C59—41no—
734C22×C59—41no—
735C22×C59—41no—
736C22×C59—41no—
737C22×C59—41no—
738C22×C59—41no—
739C22×C59—41no—
740C22×C59—41no—
741C22×C59—41no—
742C22×C59—41no—
743C22×C59—41no—
744C22×C59C23×D411yescharacteristic
745C22×C59C22×#4111yescharacteristic
746C22×C59C22×#4111yescharacteristic
747C22×C59C22×#4111yescharacteristic
748C22×C59C22×#4111yescharacteristic
749C22×C59#58511yescharacteristic
750C22×C59#58511yescharacteristic
751C2×D59—22no—
752C2×D59—22no—
753C2×D59—22no—
754C2×D59—22no—
755C2×D59—22no—
756C2×D59—22no—
757C2×D59—22no—
758C2×D59—22no—
759C2×D59—22no—
760C2×D59—22no—
761C2×D59—22no—
762C2×D59—22no—
763C2×D59—416no—
764C2×D59—41no—
765C2×D59—41no—
766C2×D59—41no—
767C2×D59—41no—
768C2×D59—41no—
769C2×D59—41no—
770C2×D59—41no—
771C2×D59—41no—
772C2×D59#52914yescomplemented
773C4×C59—22no—
774C4×C59—22no—
775C4×C59—22no—
776C4×C59—22no—
777C4×C59—22no—
778C4×C59—22no—
779C4×C59—41no—
780C4×C59—41no—
781C4×C59—41no—
782C4×C59—41no—
783C4×C59—41no—
784C4×C59—41no—
785C4×C59—41no—
786Dic59—22no—
787Dic59—22no—
788Dic59—22no—
789Dic59—22no—
790Dic59—41no—
791Dic59—41no—
792Dic59—41no—
793Dic59—41no—
794Dic59—41no—
795Dic59—41no—
796Dic59—41no—
797Dic59—41no—
798Dic59#52514yes—
799C2×#529—591no—
800C22×#117—591no—
801#2481—591no—
802#2480—591no—
803#2479—591no—
804#2478—591no—
805#2477—591no—
806#2476—591no—
807#2475—591no—
808#2474D5911yescharacteristic, complemented
809#2473—591no—
810#2472—591no—
811#2471—591no—
812#2470—591no—
813#2449—591no—
814#2443—591no—
815#2424—591no—
816#2418—591no—
817#2396—591no—
818#2395—591no—
819#2395—591no—
820#2392—591no—
821C4×C22⋊Q8—591no—
822C4×#121—591no—
823C4×#120—591no—
824C4×#120—591no—
825#2298—591no—
826#2293—591no—
827#2290—591no—
828#2290—591no—
829C42×D4—591no—
830C2×C59—42no—
831C2×C59—81no—
832C2×C59C2×#52511yescharacteristic
833C2×C59C2×#52911yescharacteristic
834C2×C59#345511yescharacteristic
835C2×C59D4×#4111yescharacteristic
836C2×C59D4×#4111yescharacteristic
837C2×C59#347511yescharacteristic
838C2×C59#347511yescharacteristic
839D59—24no—
840D59—42no—
841D59—42no—
842C24×C4—591no—
843#529—1188no—
844C2×#126—591no—
845C2×#126—591no—
846C2×#125—591no—
847C2×#124C2×D5911yescharacteristic
848C2×#123—591no—
849C2×#123—591no—
850C2×C22⋊Q8—591no—
851C2×C22⋊Q8—591no—
852C2×#121—591no—
853C2×#121—591no—
854C2×#120—591no—
855C2×#120—591no—
856C2×C4×Q8—591no—
857C2×C4×D4—591no—
858C2×C4×D4—591no—
859C2×C4×D4—591no—
860C2×C4×D4—591no—
861C2×C4×D4—591no—
862C2×C4×D4—591no—
863C2×C4×D4—591no—
864C2×C4×D4—591no—
865C2×C4×D4—591no—
866C2×#117—591no—
867C2×#117—591no—
868C2×#117—591no—
869C2×#117—591no—
870C2×#117—591no—
871C2×#117—591no—
872C2×#117—591no—
873C2×#117—591no—
874C2×#117—1188no—
875C2×#117C2×D5911yescharacteristic
876C22×C4⋊C4—591no—
877C22×C4⋊C4—591no—
878C22×C22⋊C4—591no—
879C22×C22⋊C4—591no—
880C22×C42—591no—
881C22×C42—591no—
882C22×C42—591no—
883#400—591no—
884#400—591no—
885#400—591no—
886#399—591no—
887#399—591no—
888#399—591no—
889#398—591no—
890#398—591no—
891#398—591no—
892#398—591no—
893#398—591no—
894#397—591no—
895#397—591no—
896#397—591no—
897#397—591no—
898#397—591no—
899#397—591no—
900#397C2×D5911yescharacteristic
901#396—591no—
902#396—591no—
903#396—591no—
904#396C2×D5911yescharacteristic, complemented
905#395C2×D5911yescharacteristic, complemented
906#394—591no—
907#394—591no—
908#394—591no—
909#394—591no—
910#394—591no—
911#394—591no—
912#394C2×D5911yescharacteristic
913#393—591no—
914#392—591no—
915#391C2×D5911yescharacteristic, complemented
916#390—591no—
917#390—591no—
918#390—591no—
919#389—591no—
920#389—591no—
921#389—591no—
922#389—591no—
923#388—591no—
924#388—591no—
925#388—591no—
926#388—591no—
927#388—591no—
928#388—591no—
929#388—591no—
930#388—591no—
931#388—591no—
932#388—591no—
933#388C2×D5911yescharacteristic
934#388C2×D5911yescharacteristic, complemented
935#388C2×D5911yescharacteristic, complemented
936#388C2×D5911yescharacteristic, complemented
937#387—591no—
938#387—591no—
939#387—591no—
940#387—591no—
941#387—591no—
942#387—591no—
943#387—591no—
944#387—591no—
945#387—591no—
946#387C2×D5911yescharacteristic, complemented
947#386—591no—
948#386—591no—
949#386—591no—
950#386—591no—
951#386—591no—
952#386—591no—
953#386—591no—
954#386—591no—
955#386—591no—
956#386—591no—
957#386—591no—
958#386C2×D5911yescharacteristic
959#385—591no—
960#385—591no—
961#385—591no—
962#385—591no—
963#385—591no—
964#385—591no—
965#385—591no—
966#385—591no—
967#385—591no—
968#385—591no—
969#385—591no—
970#385C2×D5911yescharacteristic
971#380—591no—
972#380—591no—
973#379—591no—
974#379—591no—
975C4×C4⋊C4—591no—
976C4×C4⋊C4—591no—
977C4×C4⋊C4—591no—
978C4×C4⋊C4—591no—
979C4×C4⋊C4—591no—
980C4×C4⋊C4—591no—
981C4×C4⋊C4—591no—
982C4×C4⋊C4C2×D5911yescharacteristic, complemented
983C4×C22⋊C4—591no—
984C4×C22⋊C4—591no—
985C4×C22⋊C4—591no—
986C4×C22⋊C4—591no—
987C4×C22⋊C4—591no—
988C4×C22⋊C4—591no—
989C4×C22⋊C4—591no—
990C4×C22⋊C4—591no—
991C4×C22⋊C4—591no—
992C4×C22⋊C4—591no—
993C4×C22⋊C4—591no—
994C4×C22⋊C4—591no—
995C4×C22⋊C4—591no—
996C4×C22⋊C4—591no—
997#376—591no—
998C43—591no—
999C59#3474011yescharacteristic, complemented, Sylow
1000C25—591no—
1001C22×Q8C22×D5911yescharacteristic
1002C22×D4—591no—
1003C22×D4—591no—
1004C22×D4—591no—
1005C22×D4—591no—
1006C22×D4—591no—
1007C22×D4—591no—
1008C22×D4C22×D5911yescharacteristic
1009C23×C4—591no—
1010C23×C4—591no—
1011C23×C4—591no—
1012C23×C4—591no—
1013C23×C4—591no—
1014C23×C4—591no—
1015C23×C4—591no—
1016C23×C4—591no—
1017C23×C4—591no—
1018C23×C4—591no—
1019C23×C4—591no—
1020C23×C4—591no—
1021C23×C4—591no—
1022C23×C4—1184no—
1023C23×C4—1184no—
1024C23×C4—1184no—
1025C23×C4C22×D5911yescharacteristic
1026#126—1184no—
1027#126—1184no—
1028#125—1184no—
1029#124—24no—
1030#123—1184no—
1031#123—1184no—
1032C22⋊Q8—1184no—
1033C22⋊Q8—1184no—
1034#121—1184no—
1035#121—1184no—
1036#120—1184no—
1037#120—1184no—
1038C4×Q8—1184no—
1039C4×D4—1184no—
1040C4×D4—1184no—
1041C4×D4—1184no—
1042C4×D4—1184no—
1043C4×D4—1184no—
1044C4×D4—1184no—
1045C4×D4—1184no—
1046C4×D4—1184no—
1047C4×D4—1184no—
1048#117—24no—
1049#117—598no—
1050#117—1184no—
1051#117—1184no—
1052#117—1184no—
1053#117—1184no—
1054#117—1184no—
1055#117—1184no—
1056#117—1184no—
1057C2×C4⋊C4—591no—
1058C2×C4⋊C4—591no—
1059C2×C4⋊C4—591no—
1060C2×C4⋊C4—591no—
1061C2×C4⋊C4—591no—
1062C2×C4⋊C4—591no—
1063C2×C4⋊C4—591no—
1064C2×C4⋊C4—591no—
1065C2×C4⋊C4—591no—
1066C2×C4⋊C4—591no—
1067C2×C4⋊C4—591no—
1068C2×C4⋊C4—591no—
1069C2×C4⋊C4—591no—
1070C2×C4⋊C4—591no—
1071C2×C4⋊C4—591no—
1072C2×C4⋊C4—591no—
1073C2×C4⋊C4—591no—
1074C2×C4⋊C4—591no—
1075C2×C4⋊C4—591no—
1076C2×C4⋊C4—591no—
1077C2×C4⋊C4—591no—
1078C2×C4⋊C4—591no—
1079C2×C4⋊C4—591no—
1080C2×C4⋊C4—591no—
1081C2×C4⋊C4—591no—
1082C2×C4⋊C4—1184no—
1083C2×C4⋊C4—1184no—
1084C2×C4⋊C4C22×D5911yescharacteristic
1085C2×C4⋊C4C22×D5911yescharacteristic
1086C2×C4⋊C4C22×D5911yescharacteristic
1087C2×C4⋊C4C22×D5911yescharacteristic
1088C2×C4⋊C4C22×D5911yescharacteristic
1089C2×C4⋊C4C22×D5911yescharacteristic
1090C2×C4⋊C4C22×D5911yescharacteristic
1091C2×C22⋊C4—591no—
1092C2×C22⋊C4—591no—
1093C2×C22⋊C4—591no—
1094C2×C22⋊C4—591no—
1095C2×C22⋊C4—591no—
1096C2×C22⋊C4—591no—
1097C2×C22⋊C4—591no—
1098C2×C22⋊C4—591no—
1099C2×C22⋊C4—591no—
1100C2×C22⋊C4—591no—
1101C2×C22⋊C4—591no—
1102C2×C22⋊C4—591no—
1103C2×C22⋊C4—591no—
1104C2×C22⋊C4—591no—
1105C2×C22⋊C4—591no—
1106C2×C22⋊C4—591no—
1107C2×C22⋊C4—591no—
1108C2×C22⋊C4—591no—
1109C2×C22⋊C4—591no—
1110C2×C22⋊C4—591no—
1111C2×C22⋊C4—591no—
1112C2×C22⋊C4—591no—
1113C2×C22⋊C4—591no—
1114C2×C22⋊C4—591no—
1115C2×C22⋊C4—591no—
1116C2×C22⋊C4—591no—
1117C2×C22⋊C4—591no—
1118C2×C22⋊C4—591no—
1119C2×C22⋊C4—591no—
1120C2×C22⋊C4—591no—
1121C2×C22⋊C4—591no—
1122C2×C22⋊C4—591no—
1123C2×C22⋊C4—591no—
1124C2×C22⋊C4—1184no—
1125C2×C22⋊C4—1184no—
1126C2×C22⋊C4C22×D5911yescharacteristic
1127C2×C22⋊C4C22×D5911yescharacteristic
1128C2×C22⋊C4C22×D5911yescharacteristic
1129C2×C22⋊C4C22×D5911yescharacteristic
1130C2×C22⋊C4C22×D5911yescharacteristic
1131C2×C22⋊C4C22×D5911yescharacteristic
1132C2×C22⋊C4C22×D5911yescharacteristic
1133C2×C22⋊C4C22×D5911yescharacteristic
1134C2×C22⋊C4C22×D5911yescharacteristic
1135C2×C22⋊C4C22×D5911yescharacteristic
1136C2×C22⋊C4C22×D5911yescharacteristic
1137C2×C42—591no—
1138C2×C42—591no—
1139C2×C42—591no—
1140C2×C42—591no—
1141C2×C42—591no—
1142C2×C42—591no—
1143C2×C42—591no—
1144C2×C42—591no—
1145C2×C42—591no—
1146C2×C42—591no—
1147C2×C42—591no—
1148C2×C42—591no—
1149C2×C42—591no—
1150C2×C42—591no—
1151C2×C42—591no—
1152C2×C42—591no—
1153C2×C42—1184no—
1154C2×C42—1184no—
1155C2×C42—1184no—
1156C2×C42C22×D5911yescharacteristic
1157C2×C42C22×D5911yescharacteristic
1158C2×C42C22×D5911yescharacteristic
1159C2×C42C22×D5911yescharacteristic
1160#95—591no—
1161#95—591no—
1162#95—591no—
1163#95—591no—
1164#95—591no—
1165#95—591no—
1166#95—591no—
1167#95—591no—
1168#95—591no—
1169#95—591no—
1170#95—591no—
1171#95—591no—
1172#95—591no—
1173#95—591no—
1174#95—591no—
1175#95—591no—
1176#95—591no—
1177#95—591no—
1178#95—591no—
1179#95—591no—
1180#95—591no—
1181#95—591no—
1182#95—591no—
1183#95—591no—
1184#95—591no—
1185#95—591no—
1186#95C22×D5911yescharacteristic
1187#95C22×D5911yescharacteristic
1188#95C22×D5911yescharacteristic
1189#95C22×D5911yescharacteristic
1190#95C22×D5911yescharacteristic
1191#95C22×D5911yescharacteristic
1192#95C22×D5911yescharacteristic
1193#95C22×D5911yescharacteristic
1194#95C22×D5911yescharacteristic
1195#95C22×D5911yescharacteristic
1196C24—591no—
1197C24—591no—
1198C24—591no—
1199C24—1182no—
1200C24—1182no—
1201C24—1182no—
1202C24—1182no—
1203C24—1182no—
1204C24—2361no—
1205C24—2361no—
1206C24C23×D5911yescharacteristic
1207C24C23×D5911yescharacteristic
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—41no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—41no—
1214C2×D4—594no—
1215C2×D4—1182no—
1216C2×D4—1182no—
1217C2×D4—1182no—
1218C2×D4—1182no—
1219C2×D4—1182no—
1220C2×D4—1182no—
1221C2×D4—1182no—
1222C2×D4—1182no—
1223C2×D4—1182no—
1224C2×D4—1182no—
1225C2×D4—1182no—
1226C2×D4—1182no—
1227C2×D4—1182no—
1228C2×D4—2361no—
1229C2×D4—2361no—
1230C2×D4—2361no—
1231C2×D4—2361no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—591no—
1236C22×C4—594no—
1237C22×C4—591no—
1238C22×C4—591no—
1239C22×C4—591no—
1240C22×C4—591no—
1241C22×C4—594no—
1242C22×C4—594no—
1243C22×C4—591no—
1244C22×C4—591no—
1245C22×C4—591no—
1246C22×C4—591no—
1247C22×C4—591no—
1248C22×C4—591no—
1249C22×C4—591no—
1250C22×C4—591no—
1251C22×C4—1182no—
1252C22×C4—1182no—
1253C22×C4—1182no—
1254C22×C4—1182no—
1255C22×C4—1182no—
1256C22×C4—1182no—
1257C22×C4—1182no—
1258C22×C4—1182no—
1259C22×C4—1182no—
1260C22×C4—1182no—
1261C22×C4—1182no—
1262C22×C4—1182no—
1263C22×C4—1182no—
1264C22×C4—1182no—
1265C22×C4—11832no—
1266C22×C4—1182no—
1267C22×C4—1182no—
1268C22×C4—1182no—
1269C22×C4—1182no—
1270C22×C4—1182no—
1271C22×C4—1182no—
1272C22×C4—1182no—
1273C22×C4—1182no—
1274C22×C4—1182no—
1275C22×C4—1182no—
1276C22×C4—1182no—
1277C22×C4—1182no—
1278C22×C4—1182no—
1279C22×C4—1182no—
1280C22×C4—1182no—
1281C22×C4—1182no—
1282C22×C4—2361no—
1283C22×C4—2361no—
1284C22×C4—2361no—
1285C22×C4—2361no—
1286C22×C4—2361no—
1287C22×C4—2361no—
1288C22×C4C23×D5911yescharacteristic
1289C22×C4C23×D5911yescharacteristic
1290C22×C4C23×D5911yescharacteristic
1291C22×C4C23×D5911yescharacteristic
1292C22×C4C23×D5911yescharacteristic
1293C22×C4C23×D5911yescharacteristic
1294C22×C4C23×D5911yescharacteristic
1295C22×C4C23×D5911yescharacteristic
1296C22×C4C23×D5911yescharacteristic
1297C22×C4C23×D5911yescharacteristic
1298C22×C4C23×D5911yescharacteristic
1299C22×C4C23×D5911yescharacteristic
1300C22×C4C23×D5911yescharacteristic
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—594no—
1309C4⋊C4—594no—
1310C4⋊C4—1182no—
1311C4⋊C4—1182no—
1312C4⋊C4—1182no—
1313C4⋊C4—1182no—
1314C4⋊C4—1182no—
1315C4⋊C4—1182no—
1316C4⋊C4—1182no—
1317C4⋊C4—1182no—
1318C4⋊C4—1182no—
1319C4⋊C4—1182no—
1320C4⋊C4—1182no—
1321C4⋊C4—1182no—
1322C4⋊C4—1182no—
1323C4⋊C4—1182no—
1324C4⋊C4—1182no—
1325C4⋊C4—1182no—
1326C4⋊C4—1182no—
1327C4⋊C4—1182no—
1328C4⋊C4—1182no—
1329C4⋊C4—2361no—
1330C4⋊C4—2361no—
1331C4⋊C4—2361no—
1332C4⋊C4—2361no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—594no—
1344C22⋊C4—594no—
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—1182no—
1361C22⋊C4—1182no—
1362C22⋊C4—1182no—
1363C22⋊C4—1182no—
1364C22⋊C4—1182no—
1365C22⋊C4—1182no—
1366C22⋊C4—1182no—
1367C22⋊C4—1182no—
1368C22⋊C4—1182no—
1369C22⋊C4—1182no—
1370C22⋊C4—2361no—
1371C22⋊C4—2361no—
1372C22⋊C4—2361no—
1373C22⋊C4—2361no—
1374C22⋊C4—2361no—
1375C22⋊C4—2361no—
1376C22⋊C4D4×D5914yes—
1377C42—22no—
1378C42—22no—
1379C42—22no—
1380C42—22no—
1381C42—594no—
1382C42—594no—
1383C42—1182no—
1384C42—1182no—
1385C42—1182no—
1386C42—1182no—
1387C42—1182no—
1388C42—1182no—
1389C42—1182no—
1390C42—1182no—
1391C42—1182no—
1392C42—1182no—
1393C42—1182no—
1394C42—1182no—
1395C42—2361no—
1396C42—2361no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—592no—
1411C23—592no—
1412C23—592no—
1413C23—592no—
1414C23—592no—
1415C23—1188no—
1416C23—1181no—
1417C23—1181no—
1418C23—1181no—
1419C23—1181no—
1420C23—1181no—
1421C23—1181no—
1422C23—1181no—
1423C23—1181no—
1424C23—1181no—
1425C23—1181no—
1426C23—1181no—
1427C23—1181no—
1428C23—1181no—
1429C23—1181no—
1430C23—1181no—
1431C23—1181no—
1432C23—2364no—
1433C23—2364no—
1434C23—2364no—
1435C23—2364no—
1436C23—2364no—
1437C23—2364no—
1438C23C2×D4×D5912yes—
1439C23C24×D5911yescharacteristic
1440Q8—44no—
1441D4—44no—
1442D4—1188no—
1443D4—2364no—
1444D4—2364no—
1445D4—2364no—
1446D4—2364no—
1447D4—2364no—
1448C2×C4—28no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—592no—
1483C2×C4—592no—
1484C2×C4—592no—
1485C2×C4—592no—
1486C2×C4—592no—
1487C2×C4—592no—
1488C2×C4—592no—
1489C2×C4—1188no—
1490C2×C4—1188no—
1491C2×C4—1188no—
1492C2×C4—1188no—
1493C2×C4—1188no—
1494C2×C4—1181no—
1495C2×C4—1181no—
1496C2×C4—1181no—
1497C2×C4—1181no—
1498C2×C4—1181no—
1499C2×C4—1181no—
1500C2×C4—1181no—
1501C2×C4—1181no—
1502C2×C4—1181no—
1503C2×C4—1181no—
1504C2×C4—1181no—
1505C2×C4—1181no—
1506C2×C4—1181no—
1507C2×C4—1181no—
1508C2×C4—1181no—
1509C2×C4—1181no—
1510C2×C4—1181no—
1511C2×C4—1181no—
1512C2×C4—1181no—
1513C2×C4—1181no—
1514C2×C4—1181no—
1515C2×C4—1181no—
1516C2×C4—1181no—
1517C2×C4—1181no—
1518C2×C4—1181no—
1519C2×C4—1181no—
1520C2×C4—1181no—
1521C2×C4—1181no—
1522C2×C4—1181no—
1523C2×C4—1181no—
1524C2×C4—1181no—
1525C2×C4—1181no—
1526C2×C4—2364no—
1527C2×C4—2364no—
1528C2×C4—2364no—
1529C2×C4—2364no—
1530C2×C4—2364no—
1531C2×C4—2364no—
1532C2×C4—2364no—
1533C2×C4—2364no—
1534C2×C4C2×D4×D5912yes—
1535C2×C4C2×D4×D5912yes—
1536C2×C4#41×D5912yes—
1537C2×C4#41×D5912yes—
1538C2×C4#41×D5912yes—
1539C2×C4#41×D5912yes—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—594no—
1555C22—1182no—
1556C22—1182no—
1557C22—1182no—
1558C22—1182no—
1559C22—1182no—
1560C22—1182no—
1561C22—1182no—
1562C22—1182no—
1563C22—1182no—
1564C22—1182no—
1565C22—1182no—
1566C22—1182no—
1567C22—23616no—
1568C22—2361no—
1569C22—2361no—
1570C22—2361no—
1571C22—2361no—
1572C22—2361no—
1573C22—2361no—
1574C22—2361no—
1575C22—2361no—
1576C22C22×D4×D5911yescharacteristic
1577C22C2×#41×D5911yescharacteristic
1578C22C2×#41×D5911yescharacteristic
1579C22C2×#41×D5911yescharacteristic
1580C22C2×#41×D5911yescharacteristic
1581C22#1683823711yescharacteristic
1582C22#1683823911yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—22no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—594no—
1597C4—1182no—
1598C4—1182no—
1599C4—1182no—
1600C4—1182no—
1601C4—2361no—
1602C4—2361no—
1603C4—2361no—
1604C4—2361no—
1605C4—2361no—
1606C4—2361no—
1607C4—2361no—
1608C4—2361no—
1609C2—42no—
1610C2—81no—
1611C2—1184no—
1612C2—2362no—
1613C2—2362no—
1614C2#525×D5911yescharacteristic
1615C2#529×D5911yescharacteristic
1616C2#2143748311yescharacteristic
1617C2#2143758011yescharacteristic
1618C2#2143758311yescharacteristic
1619C2#2143765311yescharacteristic
1620C2#2143765711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2474C2
prime radical#21427625C2
hypercenter#2474D59
hypocenterC59#34740
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2474

Complements

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

NH ≅ G/Ntype
1. C2×#16837931C2semidirect
2. C2×#117×D59C2semidirect
3. #21428358C2semidirect
4. #21428335C2semidirect
5. #21428332C2semidirect
6. #21428309C2semidirect
7. #21428304C2semidirect
8. #21428281C2semidirect
9. #21428267C2semidirect
10. #21428241C2semidirect
11. #21428218C2semidirect
12. #21428209C2semidirect
13. #21428186C2semidirect
14. #21427898C2semidirect
15. #21427838C2semidirect
17. #21427563C2semidirect
18. #21427367C2semidirect
19. #21427354C2semidirect
20. #21427352C2semidirect
21. #21427341C2semidirect
22. #21426634C2semidirect
23. #21426608C2semidirect
24. #21426601C2semidirect
25. #21426597C2semidirect
26. #21426590C2semidirect
27. #21426556C2semidirect
28. #21426538C2semidirect
29. #21426534C2semidirect
30. C4×#14273689C2semidirect
31. C59×#2474C2semidirect
35. C2×#14273720C22semidirect
36. C2×#14273719C22semidirect
38. C2×#14273709C22semidirect
40. C2×#14273703C22semidirect
45. C2×Q8×Dic59C22semidirect
54. C2×(C22⋊D59)⋊C4C22semidirect
62. C2×#14273683C22semidirect
70. C2×C42×D59C22semidirect
71. #16837344C22semidirect
72. #16837343C22semidirect
73. #16837341C22semidirect
75. #16837338C22semidirect
76. #16837337C22semidirect
77. #16837336C22semidirect
78. #16837335C22semidirect
79. #16837335C22semidirect
80. #16837334C22semidirect
81. #16837334C22semidirect
83. #16837331C22semidirect
86. #16837330C22semidirect
90. #16837324C22semidirect
94. #16837318C22semidirect
101. #16837302C22semidirect
102. #16837300C22semidirect
103. #16837299C22semidirect
104. #16837297C22semidirect
105. #16837297C22semidirect
108. #16837295C22semidirect
109. #16837295C22semidirect
112. #16837293C22semidirect
116. #16837289C22semidirect
117. #16837289C22semidirect
118. #16837289C22semidirect
119. #16837288C22semidirect
120. #16837286C22semidirect
121. #16837286C22semidirect
122. #16837284C22semidirect
123. #16837284C22semidirect
124. #16837283C22semidirect
141. #16837276C22semidirect
146. #16837273C22semidirect
151. C4⋊C4×Dic59C22semidirect
152. C4⋊C4×Dic59C22semidirect
153. C4⋊C4×Dic59C22semidirect
154. C4⋊C4×Dic59C22semidirect
155. #16837253C22semidirect
156. #16837253C22semidirect
157. #16837253C22semidirect
160. C22⋊C4×Dic59C22semidirect
161. C22⋊C4×Dic59C22semidirect
163. C4×(C2×D59)⋊C4C22semidirect
169. #16837249C22semidirect
170. #16837249C22semidirect
171. #16837249C22semidirect
172. #16837247C22semidirect
173. C42×Dic59C22semidirect
177. C59×#396C22semidirect
178. C59×#395C22semidirect
180. C59×#391C22semidirect
182. C59×#388C22semidirect
183. C59×#388C22semidirect
184. C59×#388C22semidirect
185. C59×#387C22semidirect
188. C4×C4⋊C4×C59C22semidirect
240. #14273683D4semidirect
772. C2×D59#529semidirect
808. #2474D59semidirect
904. #396C2×D59semidirect
905. #395C2×D59semidirect
915. #391C2×D59semidirect
934. #388C2×D59semidirect
935. #388C2×D59semidirect
936. #388C2×D59semidirect
946. #387C2×D59semidirect
982. C4×C4⋊C4C2×D59semidirect
999. C59#34740semidirect

Maximal subgroups

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

subgroupindex
C2×#168379312
C2×#117×D592
#214283582
#214283352
#214283322
#214283092
#214283042
#214282812
#214282672
#214282412
#214282182
#214282092
#214281862
#214278982
#214278382
#214276252
#214275632
#214273672
#214273542
#214273522
#214273412
#214266342
#214266082
#214266012
#214265972
#214265902
#214265562
#214265382
#214265342
C4×#142736892
C59×#24742
#3474059