Finite Group Databasebeta

← #28761698

Subgroups — #28761698

Order 15104.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837997C211yesmaximal, characteristic, complemented
2C2×#16837989C211yesmaximal, characteristic, complemented
3#21432465C211yesmaximal, characteristic, complemented
4#21432462C211yesmaximal, characteristic, complemented
5#21432424C211yesmaximal, characteristic, complemented
6#21432393C211yesmaximal, characteristic, complemented
7#21430254C211yesmaximal, characteristic, complemented
8#21430245C211yesmaximal, characteristic, complemented
9#21430232C211yesmaximal, characteristic, complemented
10#21430221C211yesmaximal, characteristic, complemented
11#21429237C211yesmaximal, characteristic, complemented
12#21429222C211yesmaximal, characteristic, complemented
13#21429207C211yesmaximal, characteristic, complemented
14#21429192C211yesmaximal, characteristic, complemented
15#21429107C211yesmaximal, characteristic, complemented
16#21429028C211yesmaximal, characteristic, complemented
17#21428982C211yesmaximal, characteristic, complemented
18#21428792C211yesmaximal, characteristic, complemented
19#21428762C211yesmaximal, characteristic, complemented
20#21428420C211yesmaximal, characteristic, complemented
21#21428227C211yesmaximal, characteristic, complemented
22#21428095C211yesmaximal, characteristic, complemented
23#21428056C211yesmaximal, characteristic, complemented
24#21427653C211yesmaximal, characteristic, complemented
25#21427638C211yesmaximal, characteristic, complemented
26#21426770C211yesmaximal, characteristic, complemented
27#21426759C211yesmaximal, characteristic, complemented
28#121×Dic59C211yesmaximal, characteristic, complemented
29C2×#16837291C211yesmaximal, characteristic, complemented
30C4×D4×Dic59C211yesmaximal, characteristic, complemented
31C59×#2543C211yesmaximal, characteristic, complemented
32#16837997—28no—
33#16837989—28no—
34C2×#14273722C2211yescharacteristic
35C2×#14273722C2211yescharacteristic
36C2×#14273720C2211yescharacteristic, complemented
37C2×#14273720C2211yescharacteristic, complemented
38C2×#14273717C2211yescharacteristic, complemented
39C2×#14273717C2211yescharacteristic, complemented
40C2×#14273713C2211yescharacteristic
41C2×#14273713C2211yescharacteristic
42C2×#14273713C2211yescharacteristic
43C2×#14273711C2211yescharacteristic
44C2×#14273711C2211yescharacteristic
45C2×#14273708C2211yescharacteristic
46C2×#14273708C2211yescharacteristic
47C2×#14273708C2211yescharacteristic
48C2×#14273708C2211yescharacteristic, complemented
49C2×#14273708C2211yescharacteristic, complemented
50C2×#14273706C2211yescharacteristic
51C2×#14273706C2211yescharacteristic
52C2×#14273704C2211yescharacteristic, complemented
53C2×#14273704C2211yescharacteristic, complemented
54C2×#14273699C2211yescharacteristic
55C2×#14273699C2211yescharacteristic
56C2×#14273699C2211yescharacteristic
57C2×#14273695C2211yescharacteristic
58C2×#14273695C2211yescharacteristic
59C2×#14273695C2211yescharacteristic
60C2×D4×Dic59C2211yescharacteristic
61C2×D4×Dic59C2211yescharacteristic
62C2×D4×Dic59C2211yescharacteristic
63C2×D4×Dic59C2211yescharacteristic
64C2×D4×Dic59C2211yescharacteristic, complemented
65C22×Dic59⋊C4C2211yescharacteristic
66C22×(C2×D59)⋊C4C2211yescharacteristic
67C22×(C2×D59)⋊C4C2211yescharacteristic
68C22×(C2×D59)⋊C4C2211yescharacteristic
69C22×C4×Dic59C2211yescharacteristic
70C22×C4×Dic59C2211yescharacteristic, complemented
71#16837344C2211yescharacteristic, complemented
72#16837343C2211yescharacteristic, complemented
73#16837337C2211yescharacteristic
74#16837337C2211yescharacteristic
75#16837336C2211yescharacteristic, complemented
76#16837336C2211yescharacteristic, complemented
77#16837335C2211yescharacteristic, complemented
78#16837331C2211yescharacteristic
79#16837330C2211yescharacteristic, complemented
80#16837330C2211yescharacteristic, complemented
81#16837325C2211yescharacteristic, complemented
82#16837324C2211yescharacteristic
83#16837324C2211yescharacteristic
84#16837324C2211yescharacteristic
85#16837323C2211yescharacteristic, complemented
86#16837323C2211yescharacteristic, complemented
87#16837318C2211yescharacteristic
88#16837318C2211yescharacteristic
89#16837318C2211yescharacteristic
90#16837318C2211yescharacteristic
91#16837317C2211yescharacteristic
92#16837317C2211yescharacteristic
93#16837316C2211yescharacteristic, complemented
94#16837315C2211yescharacteristic
95#16837314C2211yescharacteristic, complemented
96#16837310C2211yescharacteristic
97#16837310C2211yescharacteristic
98#16837310C2211yescharacteristic
99#16837306C2211yescharacteristic, complemented
100#16837306C2211yescharacteristic, complemented
101#16837306C2211yescharacteristic, complemented
102#16837305C2211yescharacteristic, complemented
103#16837302C2211yescharacteristic
104#16837302C2211yescharacteristic
105#16837302C2211yescharacteristic
106#16837302C2211yescharacteristic
107#16837302C2211yescharacteristic
108#16837302C2211yescharacteristic
109#16837302C2211yescharacteristic
110#16837302C2211yescharacteristic
111#16837301C2211yescharacteristic, complemented
112#16837299C2211yescharacteristic, complemented
113#16837299C2211yescharacteristic, complemented
114#16837299C2211yescharacteristic, complemented
115#16837299C2211yescharacteristic, complemented
116#16837297C2211yescharacteristic, complemented
117#16837296C2211yescharacteristic, complemented
118#16837295C2211yescharacteristic, complemented
119#16837295C2211yescharacteristic, complemented
120#16837295C2211yescharacteristic, complemented
121#16837294C2211yescharacteristic
122#16837294C2211yescharacteristic
123#16837294C2211yescharacteristic
124#16837293C2211yescharacteristic
125#16837293C2211yescharacteristic
126#16837292C2211yescharacteristic
127#16837291C2211yescharacteristic
128#16837291C2211yescharacteristic
129#16837291C2211yescharacteristic
130#16837291C2211yescharacteristic
131#16837291C2211yescharacteristic
132#16837291C2211yescharacteristic
133#16837291C2211yescharacteristic
134#16837291C2211yescharacteristic
135#16837291C2211yescharacteristic
136#16837291C2211yescharacteristic
137#16837291C2211yescharacteristic
138#16837290C2211yescharacteristic, complemented
139#16837290C2211yescharacteristic, complemented
140#16837290C2211yescharacteristic, complemented
141#16837284C2211yescharacteristic, complemented
142#16837284C2211yescharacteristic, complemented
143#16837282C2211yescharacteristic
144#16837282C2211yescharacteristic
145#16837282C2211yescharacteristic, complemented
146#16837281C2211yescharacteristic
147#16837281C2211yescharacteristic
148#16837279C2211yescharacteristic
149#16837279C2211yescharacteristic
150#16837279C2211yescharacteristic
151#16837275C2211yescharacteristic
152#16837275C2211yescharacteristic
153#16837274C2211yescharacteristic, complemented
154#16837274C2211yescharacteristic, complemented
155#16837266C2211yescharacteristic, complemented
156#16837263C2211yescharacteristic
157#16837262C2211yescharacteristic
158#16837260C2211yescharacteristic, complemented
159#16837257C2211yescharacteristic
160C4⋊C4×Dic59C2211yescharacteristic, complemented
161C4⋊C4×Dic59C2211yescharacteristic, complemented
162C4⋊C4×Dic59C2211yescharacteristic, complemented
163C4×C4⋊Dic59C2211yescharacteristic, complemented
164C22⋊C4×Dic59C2211yescharacteristic
165C22⋊C4×Dic59C2211yescharacteristic
166C22⋊C4×Dic59C2211yescharacteristic, complemented
167C22⋊C4×Dic59C2211yescharacteristic, complemented
168C22⋊C4×Dic59C2211yescharacteristic, complemented
169C22⋊C4×Dic59C2211yescharacteristic, complemented
170C4×C22⋊Dic59C2211yescharacteristic
171C4×C22⋊Dic59C2211yescharacteristic, complemented
172C2×C59⋊#95C2211yescharacteristic
173C42×Dic59C2211yescharacteristic, complemented
174C2×#121×C59C2211yescharacteristic
175C2×#121×C59C2211yescharacteristic
176C2×#121×C59C2211yescharacteristic
177C2×C4×D4×C59C2211yescharacteristic
178C59×#398C2211yescharacteristic, complemented
179C59×#397C2211yescharacteristic, complemented
180C59×#394C2211yescharacteristic, complemented
181C59×#392C2211yescharacteristic, complemented
182C59×#388C2211yescharacteristic, complemented
183C59×#388C2211yescharacteristic, complemented
184C59×#386C2211yescharacteristic
185C59×#386C2211yescharacteristic
186C59×#386C2211yescharacteristic, complemented
187C59×#386C2211yescharacteristic, complemented
188C2×#95×C59C2211yescharacteristic
189C24×D59C2311yescharacteristic
190C22×Dic118C2311yescharacteristic
191C22×Dic118C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C23×Dic59C2311yescharacteristic
199C23×Dic59C2311yescharacteristic
200C23×Dic59C2311yescharacteristic
201C23×Dic59C2311yescharacteristic
202C23×Dic59C2311yescharacteristic
203C23×Dic59C2311yescharacteristic
204C23×Dic59C2311yescharacteristic
205#14273722—24no—
206#14273722—24no—
207#14273720—24no—
208#14273720—24no—
209#14273717—24no—
210#14273717—24no—
211#14273713—24no—
212#14273713—24no—
213#14273713—42no—
214#14273711—24no—
215#14273711—24no—
216#14273708—24no—
217#14273708—24no—
218#14273708—24no—
219#14273708—24no—
220#14273708—24no—
221#14273706—24no—
222#14273706—24no—
223#14273704—24no—
224#14273704—24no—
225#14273699—24no—
226#14273699—24no—
227#14273699—42no—
228#14273695—24no—
229#14273695—24no—
230#14273695—24no—
231D4×Dic59—24no—
232D4×Dic59—24no—
233D4×Dic59—24no—
234D4×Dic59—42no—
235D4×Dic59D418yescomplemented
236C2×C4⋊Dic59C2311yescharacteristic
237C2×C4⋊Dic59C2311yescharacteristic
238C2×C4⋊Dic59C2311yescharacteristic
239C2×C4⋊Dic59C2311yescharacteristic
240C2×C4⋊Dic59C2311yescharacteristic
241C2×C4⋊Dic59C2311yescharacteristic
242C2×C4⋊Dic59C2311yescharacteristic
243C2×C4⋊Dic59C2311yescharacteristic
244C2×Dic59⋊C4—24no—
245C2×Dic59⋊C4C2311yescharacteristic
246C2×Dic59⋊C4C2311yescharacteristic
247C2×Dic59⋊C4C2311yescharacteristic
248C2×Dic59⋊C4C2311yescharacteristic
249C2×Dic59⋊C4C2311yescharacteristic
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×C22⋊Dic59C2311yescharacteristic
264C2×C22⋊Dic59C2311yescharacteristic
265C2×C22⋊Dic59C2311yescharacteristic
266C2×C22⋊Dic59C2311yescharacteristic
267C2×C22⋊Dic59C2311yescharacteristic
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×C22⋊Dic59C2311yescharacteristic
278C2×C22⋊Dic59C2311yescharacteristic
279C2×C22⋊Dic59C2311yescharacteristic
280C2×C22⋊Dic59C2311yescharacteristic
281C2×(C2×D59)⋊C4—24no—
282C2×(C2×D59)⋊C4—24no—
283C2×(C2×D59)⋊C4—42no—
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×C4×Dic59—42no—
307C2×C4×Dic59—42no—
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
319C2×C4×Dic59C2311yescharacteristic
320C2×C4×Dic59C2311yescharacteristic
321C2×C4×Dic59C2311yescharacteristic
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
346C22×D4×C59C2311yescharacteristic
347C22×D4×C59C2311yescharacteristic
348C22×D4×C59C2311yescharacteristic
349C22×D4×C59C2311yescharacteristic
350C22×D4×C59C2311yescharacteristic
351C22×D4×C59C2311yescharacteristic
352C23×C4×C59C2311yescharacteristic
353C23×C4×C59C2311yescharacteristic
354C23×C4×C59C2311yescharacteristic
355C23×C4×C59C2311yescharacteristic
356#121×C59—24no—
357#121×C59—24no—
358#121×C59—24no—
359C4×D4×C59—24no—
360C2×C4⋊C4×C59C2311yescharacteristic
361C2×C4⋊C4×C59C2311yescharacteristic
362C2×C4⋊C4×C59C2311yescharacteristic
363C2×C4⋊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×C22⋊C4×C59C2311yescharacteristic
372C2×C22⋊C4×C59C2311yescharacteristic
373C2×C22⋊C4×C59C2311yescharacteristic
374C2×C22⋊C4×C59C2311yescharacteristic
375C2×C22⋊C4×C59C2311yescharacteristic
376C2×C42×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
387C24×C59C2411yescharacteristic
388C24×C59C2411yescharacteristic
389C23×D59—22no—
390C23×D59—22no—
391C23×D59—22no—
392C23×D59—41no—
393C23×D59—41no—
394C23×D59—41no—
395C23×D59—41no—
396C23×D59C2411yescharacteristic
397C23×D59C2411yescharacteristic
398C2×D4×C59—22no—
399C2×D4×C59—22no—
400C2×D4×C59—22no—
401C2×D4×C59—22no—
402C2×D4×C59—22no—
403C2×D4×C59—22no—
404C2×D4×C59—22no—
405C2×D4×C59—22no—
406C2×D4×C59—22no—
407C2×D4×C59—22no—
408C2×D4×C59—22no—
409C2×D4×C59—41no—
410C2×D4×C59—41no—
411C2×D4×C59—41no—
412C2×D4×C59—41no—
413C2×D4×C59—41no—
414C2×D4×C59—41no—
415C2×D4×C59C2×D414yes—
416C22×C4×C59—22no—
417C22×C4×C59—22no—
418C22×C4×C59—22no—
419C22×C4×C59—41no—
420C22×C4×C59—41no—
421C22×C4×C59—41no—
422C22×C4×C59—41no—
423C22×C4×C59—41no—
424C22×C4×C59—41no—
425C22×C4×C59—41no—
426C22×C4×C59—41no—
427C22×C4×C59#4114yes—
428C22×C4×C59C2411yescharacteristic
429C22×C4×C59C2411yescharacteristic
430C22×C4×C59C2411yescharacteristic
431C22×C4×C59C2411yescharacteristic
432C22×C4×C59C2411yescharacteristic
433C22×C4×C59C2411yescharacteristic
434C22×C4×C59C2411yescharacteristic
435C22×C4×C59C2411yescharacteristic
436C22×C4×C59C2411yescharacteristic
437C22×C4×C59C2411yescharacteristic
438C22×C4×C59C2411yescharacteristic
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⋊D59—41no—
452C2×C22⋊D59—41no—
453C2×C22⋊D59—41no—
454C2×C22⋊D59—41no—
455C2×C22⋊D59—41no—
456C2×C22⋊D59—41no—
457C22×Dic59—22no—
458C22×Dic59—22no—
459C22×Dic59—22no—
460C22×Dic59—22no—
461C22×Dic59—22no—
462C22×Dic59—22no—
463C22×Dic59—22no—
464C22×Dic59—22no—
465C22×Dic59—22no—
466C22×Dic59—41no—
467C22×Dic59—41no—
468C22×Dic59—41no—
469C22×Dic59—41no—
470C22×Dic59—41no—
471C22×Dic59—41no—
472C22×Dic59—41no—
473C22×Dic59—41no—
474C22×Dic59—41no—
475C22×Dic59—41no—
476C22×Dic59C2×D414yes—
477C22×Dic59C2×D414yes—
478C22×Dic59C2411yescharacteristic
479C22×Dic59C2411yescharacteristic
480C22×Dic59C2411yescharacteristic
481C22×Dic59C2411yescharacteristic
482C22×Dic59C2411yescharacteristic
483C22×Dic59C2411yescharacteristic
484C22×Dic59C2411yescharacteristic
485C22×Dic59C2411yescharacteristic
486C22×Dic59C2411yescharacteristic
487C22×Dic59C2411yescharacteristic
488C22×Dic59C2411yescharacteristic
489C22×Dic59C2411yescharacteristic
490C22×Dic59C2411yescharacteristic
491C22×Dic59C2411yescharacteristic
492C2×Dic118—22no—
493C2×Dic118—22no—
494C2×Dic118—41no—
495C2×Dic118—41no—
496C2×Dic118—41no—
497C2×Dic118—41no—
498C4⋊C4×C59—22no—
499C4⋊C4×C59—22no—
500C4⋊C4×C59—22no—
501C4⋊C4×C59—22no—
502C22⋊C4×C59—22no—
503C22⋊C4×C59—22no—
504C22⋊C4×C59—22no—
505C22⋊C4×C59—22no—
506C22⋊C4×C59—22no—
507C22⋊C4×C59—22no—
508C22⋊C4×C59—22no—
509C22⋊C4×C59—22no—
510C22⋊C4×C59—41no—
511C22⋊C4×C59—41no—
512C22⋊C4×C59—41no—
513C22⋊C4×C59—41no—
514C42×C59—22no—
515C22⋊Dic59—22no—
516C22⋊Dic59—22no—
517C22⋊Dic59—22no—
518C22⋊Dic59—22no—
519C22⋊Dic59—22no—
520C22⋊Dic59—22no—
521C22⋊Dic59—22no—
522C22⋊Dic59—22no—
523C22⋊Dic59—22no—
524C22⋊Dic59—22no—
525C22⋊Dic59—22no—
526C22⋊Dic59—22no—
527C22⋊Dic59—22no—
528C22⋊Dic59—41no—
529C22⋊Dic59—41no—
530C22⋊Dic59C2×D414yes—
531C22⋊Dic59C2×D414yes—
532C22⋊Dic59#4114yes—
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—22no—
542(C2×D59)⋊C4—22no—
543(C2×D59)⋊C4—22no—
544(C2×D59)⋊C4—22no—
545(C2×D59)⋊C4—22no—
546(C2×D59)⋊C4—22no—
547(C2×D59)⋊C4—22no—
548(C2×D59)⋊C4—22no—
549(C2×D59)⋊C4—41no—
550(C2×D59)⋊C4—41no—
551(C2×D59)⋊C4—41no—
552(C2×D59)⋊C4—41no—
553(C2×D59)⋊C4—41no—
554(C2×D59)⋊C4—41no—
555C4⋊Dic59—22no—
556C4⋊Dic59—22no—
557C4⋊Dic59—22no—
558C4⋊Dic59—22no—
559C4⋊Dic59—22no—
560C4⋊Dic59—41no—
561C4⋊Dic59—41no—
562C4⋊Dic59C2×D414yes—
563Dic59⋊C4—22no—
564Dic59⋊C4—22no—
565Dic59⋊C4—22no—
566Dic59⋊C4—22no—
567Dic59⋊C4—22no—
568Dic59⋊C4—22no—
569Dic59⋊C4—22no—
570Dic59⋊C4—22no—
571Dic59⋊C4—22no—
572Dic59⋊C4—22no—
573Dic59⋊C4—22no—
574Dic59⋊C4—22no—
575Dic59⋊C4—22no—
576Dic59⋊C4—22no—
577Dic59⋊C4—41no—
578Dic59⋊C4—41no—
579Dic59⋊C4—41no—
580Dic59⋊C4—41no—
581C4×Dic59—22no—
582C4×Dic59—22no—
583C4×Dic59—22no—
584C4×Dic59—22no—
585C4×Dic59—22no—
586C4×Dic59—22no—
587C4×Dic59—41no—
588C4×Dic59—41no—
589C4×Dic59—41no—
590C4×Dic59—41no—
591C4×Dic59—41no—
592C4×Dic59—41no—
593C4×Dic59—41no—
594C4×Dic59C2×D414yes—
595C23×C59—21no—
596C23×C59—21no—
597C23×C59—21no—
598C23×C59—21no—
599C23×C59—21no—
600C23×C59—21no—
601C23×C59—21no—
602C23×C59—21no—
603C23×C59—21no—
604C23×C59—21no—
605C23×C59—21no—
606C23×C59—21no—
607C23×C59—21no—
608C23×C59—21no—
609C23×C59—21no—
610C23×C59—21no—
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×C59C22×D412yes—
620C23×C59C22×D412yes—
621C23×C59C2×#4112yes—
622C23×C59C2×#4112yes—
623C23×C59C2511yescharacteristic
624C22×D59—21no—
625C22×D59—21no—
626C22×D59—21no—
627C22×D59—21no—
628C22×D59—21no—
629C22×D59—21no—
630C22×D59—21no—
631C22×D59—21no—
632C22×D59—21no—
633C22×D59—21no—
634C22×D59—21no—
635C22×D59—21no—
636C22×D59—21no—
637C22×D59—21no—
638C22×D59—44no—
639C22×D59—44no—
640C22×D59—44no—
641C22×D59—82no—
642C22×D59—82no—
643C22×D59—82no—
644C22×D59—82no—
645D4×C59—28no—
646D4×C59—44no—
647D4×C59—44no—
648D4×C59—44no—
649D4×C59—82no—
650D4×C59—82no—
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×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—44no—
682C2×C4×C59—44no—
683C2×C4×C59—82no—
684C2×C4×C59—82no—
685C2×C4×C59C22×D412yes—
686C2×C4×C59C2×#4112yes—
687C2×C4×C59C2×#4112yes—
688C22⋊D59—82no—
689C22⋊D59—82no—
690C22⋊D59—82no—
691C22⋊D59—82no—
692C22⋊D59—82no—
693C22⋊D59—82no—
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—21no—
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—21no—
722C2×Dic59—21no—
723C2×Dic59—21no—
724C2×Dic59—21no—
725C2×Dic59—21no—
726C2×Dic59—21no—
727C2×Dic59—21no—
728C2×Dic59—21no—
729C2×Dic59—44no—
730C2×Dic59—44no—
731C2×Dic59—44no—
732C2×Dic59—44no—
733C2×Dic59—44no—
734C2×Dic59—82no—
735C2×Dic59—82no—
736C2×Dic59C22×D412yes—
737C2×Dic59C22×D412yes—
738C2×Dic59C22×D412yes—
739C2×Dic59C22×D412yes—
740C2×Dic59C2×#4112yes—
741C2×Dic59C2×#4112yes—
742C2×Dic59H(5,𝔽2)12yes—
743Dic118—82no—
744Dic118—82no—
745#35009—591nomaximal, Sylow
746C22×C59—22no—
747C22×C59—22no—
748C22×C59—22no—
749C22×C59—22no—
750C22×C59—22no—
751C22×C59—22no—
752C22×C59—22no—
753C22×C59—22no—
754C22×C59—22no—
755C22×C59—41no—
756C22×C59—41no—
757C22×C59—41no—
758C22×C59—41no—
759C22×C59—41no—
760C22×C59—41no—
761C22×C59—41no—
762C22×C59—41no—
763C22×C59—41no—
764C22×C59—41no—
765C22×C59—41no—
766C22×C59—41no—
767C22×C59—41no—
768C22×C59—41no—
769C22×C59—41no—
770C22×C59—41no—
771C22×C59—41no—
772C22×C59—41no—
773C22×C59#53214yes—
774C22×C59C23×D411yescharacteristic
775C22×C59C22×#4111yescharacteristic
776C22×C59C22×#4111yescharacteristic
777C22×C59C2×H(5,𝔽2)11yescharacteristic
778C22×C59#58511yescharacteristic
779C22×C59#58511yescharacteristic
780C22×C59#58511yescharacteristic
781C2×D59—41no—
782C2×D59—41no—
783C2×D59—41no—
784C2×D59—41no—
785C2×D59—41no—
786C2×D59—41no—
787C2×D59—41no—
788C2×D59—41no—
789C2×D59—41no—
790C2×D59—41no—
791C2×D59—41no—
792C2×D59—41no—
793C2×D59—41no—
794C2×D59—41no—
795C2×D59—88no—
796C4×C59—22no—
797C4×C59—22no—
798C4×C59—22no—
799C4×C59—41no—
800C4×C59—41no—
801C4×C59—41no—
802C4×C59—41no—
803C4×C59—41no—
804C4×C59—41no—
805C4×C59—41no—
806C4×C59—41no—
807Dic59—22no—
808Dic59—22no—
809Dic59—22no—
810Dic59—22no—
811Dic59—22no—
812Dic59—22no—
813Dic59—22no—
814Dic59—41no—
815Dic59—41no—
816Dic59—41no—
817Dic59—41no—
818Dic59—41no—
819Dic59—41no—
820Dic59—41no—
821C2×#539—591no—
822C2×#538—591no—
823#2861—591no—
824#2860—591no—
825#2854—591no—
826#2850—591no—
827#2664—591no—
828#2663—591no—
829#2662—591no—
830#2661—591no—
831#2560—591no—
832#2559—591no—
833#2558—591no—
834#2557—591no—
835#2549—591no—
836#2543D5911yescharacteristic, complemented
837#2539—591no—
838#2534—591no—
839#2521—591no—
840#2519—591no—
841#2488—591no—
842#2472—591no—
843#2464—591no—
844#2461—591no—
845#2425—591no—
846#2424—591no—
847#2322—591no—
848#2321—591no—
849C4×#121—591no—
850C2×#388—591no—
851C42×D4—591no—
852C2×C59—24no—
853C2×C59—42no—
854C2×C59—81no—
855C2×C59—81no—
856C2×C59C2×#53211yescharacteristic
857C2×C59#345511yescharacteristic
858C2×C59#345911yescharacteristic
859C2×C59#349611yescharacteristic
860C2×C59#350011yescharacteristic
861C2×C59#351311yescharacteristic
862C2×C59#352111yescharacteristic
863D59—81no—
864D59—81no—
865#539—1188no—
866#538—1188no—
867C2×#126—591no—
868C2×#126—591no—
869C2×#126—591no—
870C2×#126—591no—
871C2×#125—591no—
872C2×#125—591no—
873C2×#124—591no—
874C2×#124—591no—
875C2×#124—591no—
876C2×#123—591no—
877C2×#123—591no—
878C2×#123—591no—
879C2×#123—591no—
880C2×#123—591no—
881C2×#123—591no—
882C2×#123—591no—
883C2×C22⋊Q8—591no—
884C2×C22⋊Q8—591no—
885C2×C22⋊Q8—591no—
886C2×C22⋊Q8—591no—
887C2×#121—591no—
888C2×#121—591no—
889C2×#121—591no—
890C2×#121C2×D5911yescharacteristic
891C2×#121C2×D5911yescharacteristic
892C2×#121C2×D5911yescharacteristic
893C2×#120—591no—
894C2×#120—591no—
895C2×#120—591no—
896C2×C4×D4—591no—
897C2×C4×D4—591no—
898C2×C4×D4—591no—
899C2×C4×D4—591no—
900C2×C4×D4—591no—
901C2×C4×D4C2×D5911yescharacteristic
902C22×C4⋊C4—591no—
903C22×C22⋊C4—591no—
904C22×C22⋊C4—591no—
905C22×C22⋊C4—591no—
906C22×C42—591no—
907C22×C42—591no—
908#400—591no—
909#400—591no—
910#399—591no—
911#399—591no—
912#398—591no—
913#398—591no—
914#398—591no—
915#398C2×D5911yescharacteristic, complemented
916#397—591no—
917#397—591no—
918#397—591no—
919#397C2×D5911yescharacteristic, complemented
920#396—591no—
921#396—591no—
922#396—591no—
923#396—591no—
924#395—591no—
925#395—591no—
926#394—591no—
927#394—591no—
928#394—591no—
929#394—591no—
930#394—591no—
931#394—591no—
932#394—591no—
933#394C2×D5911yescharacteristic, complemented
934#393—591no—
935#393—591no—
936#392—591no—
937#392—591no—
938#392—591no—
939#392C2×D5911yescharacteristic, complemented
940#391—591no—
941#391—591no—
942#391—591no—
943#390—591no—
944#390—591no—
945#390—591no—
946#390—591no—
947#390—591no—
948#390—591no—
949#390—591no—
950#390—591no—
951#390—591no—
952#389—591no—
953#389—591no—
954#389—591no—
955#389—591no—
956#389—591no—
957#389—591no—
958#388—591no—
959#388—591no—
960#388—591no—
961#388—591no—
962#388—591no—
963#388—591no—
964#388—591no—
965#388—591no—
966#388—591no—
967#388—591no—
968#388—591no—
969#388—591no—
970#388—591no—
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#388—591no—
982#388C2×D5911yescharacteristic, complemented
983#388C2×D5911yescharacteristic, complemented
984#387—591no—
985#387—591no—
986#386—591no—
987#386—591no—
988#386—591no—
989#386—591no—
990#386—591no—
991#386—591no—
992#386—591no—
993#386—591no—
994#386C2×D5911yescharacteristic
995#386C2×D5911yescharacteristic
996#386C2×D5911yescharacteristic, complemented
997#386C2×D5911yescharacteristic, complemented
998#385—591no—
999#385—591no—
1000#385—591no—
1001#385—591no—
1002#382—591no—
1003#381—591no—
1004#380—591no—
1005#380—591no—
1006#379—591no—
1007C4×C4⋊C4—591no—
1008C4×C4⋊C4—591no—
1009C4×C4⋊C4—591no—
1010C4×C4⋊C4—591no—
1011C4×C22⋊C4—591no—
1012C4×C22⋊C4—591no—
1013C4×C22⋊C4—591no—
1014C4×C22⋊C4—591no—
1015C4×C22⋊C4—591no—
1016C4×C22⋊C4—591no—
1017C4×C22⋊C4—591no—
1018C4×C22⋊C4—591no—
1019C2×#95—591no—
1020C2×#95C2×D5911yescharacteristic
1021C43—591no—
1022C59#3500911yescharacteristic, complemented, Sylow
1023C25—591no—
1024C22×Q8—591no—
1025C22×Q8—591no—
1026C22×D4—591no—
1027C22×D4—591no—
1028C22×D4—591no—
1029C22×D4—591no—
1030C22×D4—591no—
1031C22×D4—591no—
1032C22×D4C22×D5911yescharacteristic
1033C22×D4C22×D5911yescharacteristic
1034C22×D4C22×D5911yescharacteristic
1035C22×D4C22×D5911yescharacteristic
1036C22×D4C22×D5911yescharacteristic
1037C22×D4C22×D5911yescharacteristic
1038C23×C4—591no—
1039C23×C4—591no—
1040C23×C4—591no—
1041C23×C4—591no—
1042C23×C4—591no—
1043C23×C4—591no—
1044C23×C4—591no—
1045C23×C4C22×D5911yescharacteristic
1046C23×C4C22×D5911yescharacteristic
1047C23×C4C22×D5911yescharacteristic
1048C23×C4C22×D5911yescharacteristic
1049#126—1184no—
1050#126—1184no—
1051#126—1184no—
1052#126—1184no—
1053#125—1184no—
1054#125—1184no—
1055#124—1184no—
1056#124—1184no—
1057#124—2362no—
1058#123—1184no—
1059#123—1184no—
1060#123—1184no—
1061#123—1184no—
1062#123—1184no—
1063#123—1184no—
1064#123—1184no—
1065C22⋊Q8—1184no—
1066C22⋊Q8—1184no—
1067C22⋊Q8—1184no—
1068C22⋊Q8—1184no—
1069#121—24no—
1070#121—24no—
1071#121—24no—
1072#121—1184no—
1073#121—1184no—
1074#121—2362no—
1075#120—1184no—
1076#120—1184no—
1077#120—1184no—
1078C4×D4—24no—
1079C4×D4—598no—
1080C4×D4—1184no—
1081C4×D4—1184no—
1082C4×D4—1184no—
1083C4×D4—2362no—
1084C2×C4⋊C4—591no—
1085C2×C4⋊C4—591no—
1086C2×C4⋊C4—591no—
1087C2×C4⋊C4—591no—
1088C2×C4⋊C4—591no—
1089C2×C4⋊C4—591no—
1090C2×C4⋊C4—591no—
1091C2×C4⋊C4—591no—
1092C2×C4⋊C4—591no—
1093C2×C4⋊C4—591no—
1094C2×C4⋊C4—591no—
1095C2×C4⋊C4—591no—
1096C2×C4⋊C4—591no—
1097C2×C4⋊C4—591no—
1098C2×C4⋊C4—591no—
1099C2×C4⋊C4—591no—
1100C2×C4⋊C4—591no—
1101C2×C4⋊C4—591no—
1102C2×C4⋊C4—591no—
1103C2×C4⋊C4—591no—
1104C2×C4⋊C4—591no—
1105C2×C4⋊C4—591no—
1106C2×C4⋊C4—591no—
1107C2×C4⋊C4—591no—
1108C2×C4⋊C4—591no—
1109C2×C4⋊C4—591no—
1110C2×C4⋊C4—1184no—
1111C2×C4⋊C4C22×D5911yescharacteristic
1112C2×C4⋊C4C22×D5911yescharacteristic
1113C2×C4⋊C4C22×D5911yescharacteristic
1114C2×C4⋊C4C22×D5911yescharacteristic
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—591no—
1125C2×C22⋊C4—591no—
1126C2×C22⋊C4—591no—
1127C2×C22⋊C4—591no—
1128C2×C22⋊C4—591no—
1129C2×C22⋊C4—591no—
1130C2×C22⋊C4—591no—
1131C2×C22⋊C4—591no—
1132C2×C22⋊C4—591no—
1133C2×C22⋊C4—591no—
1134C2×C22⋊C4—591no—
1135C2×C22⋊C4—591no—
1136C2×C22⋊C4—591no—
1137C2×C22⋊C4—591no—
1138C2×C22⋊C4—591no—
1139C2×C22⋊C4—591no—
1140C2×C22⋊C4—591no—
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—1184no—
1156C2×C22⋊C4—1184no—
1157C2×C22⋊C4—2362no—
1158C2×C22⋊C4C22×D5911yescharacteristic
1159C2×C22⋊C4C22×D5911yescharacteristic
1160C2×C22⋊C4C22×D5911yescharacteristic
1161C2×C22⋊C4C22×D5911yescharacteristic
1162C2×C22⋊C4C22×D5911yescharacteristic
1163C2×C22⋊C4C22×D5911yescharacteristic
1164C2×C22⋊C4C22×D5911yescharacteristic
1165C2×C22⋊C4C22×D5911yescharacteristic
1166C2×C22⋊C4C22×D5911yescharacteristic
1167C2×C22⋊C4C22×D5911yescharacteristic
1168C2×C22⋊C4C22×D5911yescharacteristic
1169C2×C22⋊C4C22×D5911yescharacteristic
1170C2×C42—591no—
1171C2×C42—591no—
1172C2×C42—591no—
1173C2×C42—591no—
1174C2×C42—591no—
1175C2×C42—591no—
1176C2×C42—591no—
1177C2×C42—591no—
1178C2×C42—591no—
1179C2×C42—591no—
1180C2×C42—591no—
1181C2×C42—591no—
1182C2×C42—591no—
1183C2×C42—591no—
1184C2×C42—2362no—
1185C2×C42—2362no—
1186C2×C42C22×D5911yescharacteristic
1187#95—591no—
1188#95—591no—
1189#95—591no—
1190#95—591no—
1191#95—591no—
1192#95—591no—
1193#95—591no—
1194#95—591no—
1195#95—591no—
1196#95—591no—
1197#95—591no—
1198#95—591no—
1199#95—591no—
1200#95—591no—
1201#95—591no—
1202#95—591no—
1203#95—591no—
1204#95—591no—
1205#95—591no—
1206#95—591no—
1207#95—591no—
1208#95—591no—
1209#95—591no—
1210#95—591no—
1211#95C22×D5911yescharacteristic
1212#95C22×D5911yescharacteristic
1213#95C22×D5911yescharacteristic
1214#95C22×D5911yescharacteristic
1215#95C22×D5911yescharacteristic
1216#95C22×D5911yescharacteristic
1217#95C22×D5911yescharacteristic
1218#95C22×D5911yescharacteristic
1219C24—591no—
1220C24—591no—
1221C24—1182no—
1222C24—1182no—
1223C24—1182no—
1224C24—2361no—
1225C24—2361no—
1226C24—2361no—
1227C24—2361no—
1228C24C23×D5911yescharacteristic
1229C24C23×D5911yescharacteristic
1230C24C23×D5911yescharacteristic
1231C24C23×D5911yescharacteristic
1232C2×Q8—1182no—
1233C2×Q8—1182no—
1234C2×Q8—2361no—
1235C2×Q8—2361no—
1236C2×Q8—2361no—
1237C2×Q8—2361no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—1182no—
1256C2×D4—1182no—
1257C2×D4—1182no—
1258C2×D4—1182no—
1259C2×D4—1182no—
1260C2×D4—1182no—
1261C2×D4—2361no—
1262C2×D4—2361no—
1263C2×D4—2361no—
1264C2×D4—2361no—
1265C2×D4—2361no—
1266C2×D4—2361no—
1267C2×D4—2361no—
1268C2×D4—2361no—
1269C2×D4—2361no—
1270C2×D4—2361no—
1271C2×D4—2361no—
1272C2×D4—2361no—
1273C2×D4D4×D5914yes—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—591no—
1286C22×C4—591no—
1287C22×C4—591no—
1288C22×C4—591no—
1289C22×C4—591no—
1290C22×C4—591no—
1291C22×C4—591no—
1292C22×C4—594no—
1293C22×C4—594no—
1294C22×C4—591no—
1295C22×C4—591no—
1296C22×C4—591no—
1297C22×C4—591no—
1298C22×C4—591no—
1299C22×C4—591no—
1300C22×C4—591no—
1301C22×C4—1182no—
1302C22×C4—1182no—
1303C22×C4—1182no—
1304C22×C4—1182no—
1305C22×C4—1182no—
1306C22×C4—1182no—
1307C22×C4—1182no—
1308C22×C4—1182no—
1309C22×C4—1182no—
1310C22×C4—2361no—
1311C22×C4—2361no—
1312C22×C4—2361no—
1313C22×C4—2361no—
1314C22×C4—2361no—
1315C22×C4—2361no—
1316C22×C4—2361no—
1317C22×C4—2361no—
1318C22×C4—2361no—
1319C22×C4—2361no—
1320C22×C4#1174568714yes—
1321C22×C4C23×D5911yescharacteristic
1322C22×C4C23×D5911yescharacteristic
1323C22×C4C23×D5911yescharacteristic
1324C22×C4C23×D5911yescharacteristic
1325C22×C4C23×D5911yescharacteristic
1326C22×C4C23×D5911yescharacteristic
1327C22×C4C23×D5911yescharacteristic
1328C22×C4C23×D5911yescharacteristic
1329C22×C4C23×D5911yescharacteristic
1330C22×C4C23×D5911yescharacteristic
1331C22×C4C23×D5911yescharacteristic
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—594no—
1337C4⋊C4—1182no—
1338C4⋊C4—1182no—
1339C4⋊C4—1182no—
1340C4⋊C4—1182no—
1341C4⋊C4—1182no—
1342C4⋊C4—1182no—
1343C4⋊C4—1182no—
1344C4⋊C4—1182no—
1345C4⋊C4—1182no—
1346C4⋊C4—1182no—
1347C4⋊C4—1182no—
1348C4⋊C4—1182no—
1349C4⋊C4—1182no—
1350C4⋊C4—1182no—
1351C4⋊C4—1182no—
1352C4⋊C4—1182no—
1353C4⋊C4—1182no—
1354C4⋊C4—1182no—
1355C4⋊C4—1182no—
1356C4⋊C4—2361no—
1357C4⋊C4—2361no—
1358C4⋊C4—2361no—
1359C4⋊C4—2361no—
1360C4⋊C4—2361no—
1361C4⋊C4—2361no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—594no—
1375C22⋊C4—594no—
1376C22⋊C4—594no—
1377C22⋊C4—1182no—
1378C22⋊C4—1182no—
1379C22⋊C4—1182no—
1380C22⋊C4—1182no—
1381C22⋊C4—1182no—
1382C22⋊C4—1182no—
1383C22⋊C4—1182no—
1384C22⋊C4—1182no—
1385C22⋊C4—1182no—
1386C22⋊C4—1182no—
1387C22⋊C4—1182no—
1388C22⋊C4—1182no—
1389C22⋊C4—1182no—
1390C22⋊C4—1182no—
1391C22⋊C4—1182no—
1392C22⋊C4—1182no—
1393C22⋊C4—1182no—
1394C22⋊C4—1182no—
1395C22⋊C4—1182no—
1396C22⋊C4—1182no—
1397C22⋊C4—1182no—
1398C22⋊C4—1182no—
1399C22⋊C4—1182no—
1400C22⋊C4—1182no—
1401C22⋊C4—1182no—
1402C22⋊C4—1182no—
1403C22⋊C4—1182no—
1404C22⋊C4—1182no—
1405C22⋊C4—1182no—
1406C22⋊C4—2361no—
1407C22⋊C4—2361no—
1408C22⋊C4—2361no—
1409C22⋊C4—2361no—
1410C22⋊C4—2361no—
1411C22⋊C4—2361no—
1412C22⋊C4—2361no—
1413C22⋊C4—2361no—
1414C42—22no—
1415C42—594no—
1416C42—1182no—
1417C42—1182no—
1418C42—1182no—
1419C42—1182no—
1420C42—1182no—
1421C42—1182no—
1422C42—2361no—
1423C42—2361no—
1424C42—2361no—
1425C42—2361no—
1426C42—2361no—
1427C42—2361no—
1428C42—2361no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—1181no—
1454C23—1181no—
1455C23—1181no—
1456C23—1181no—
1457C23—1181no—
1458C23—1181no—
1459C23—1181no—
1460C23—1181no—
1461C23—1181no—
1462C23—1181no—
1463C23—1181no—
1464C23—1181no—
1465C23—1181no—
1466C23—1181no—
1467C23—4722no—
1468C23—4722no—
1469C23—4722no—
1470C23—4722no—
1471C23—2364no—
1472C23—2364no—
1473C23—2364no—
1474C23C2×D4×D5912yes—
1475C23C2×D4×D5912yes—
1476C23#41×D5912yes—
1477C23C2×#1174568712yes—
1478C23C24×D5911yescharacteristic
1479Q8—4722no—
1480Q8—4722no—
1481D4—28no—
1482D4—44no—
1483D4—44no—
1484D4—44no—
1485D4—82no—
1486D4—82no—
1487D4—4722no—
1488D4—4722no—
1489D4—4722no—
1490D4—4722no—
1491D4—4722no—
1492D4—4722no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—82no—
1526C2×C4—82no—
1527C2×C4—592no—
1528C2×C4—592no—
1529C2×C4—592no—
1530C2×C4—592no—
1531C2×C4—592no—
1532C2×C4—592no—
1533C2×C4—592no—
1534C2×C4—1181no—
1535C2×C4—1181no—
1536C2×C4—1181no—
1537C2×C4—1181no—
1538C2×C4—1181no—
1539C2×C4—1181no—
1540C2×C4—1181no—
1541C2×C4—1181no—
1542C2×C4—1181no—
1543C2×C4—1181no—
1544C2×C4—1181no—
1545C2×C4—1181no—
1546C2×C4—1181no—
1547C2×C4—1181no—
1548C2×C4—1181no—
1549C2×C4—1181no—
1550C2×C4—1181no—
1551C2×C4—1181no—
1552C2×C4—1181no—
1553C2×C4—1181no—
1554C2×C4—1181no—
1555C2×C4—1181no—
1556C2×C4—1181no—
1557C2×C4—1181no—
1558C2×C4—1181no—
1559C2×C4—1181no—
1560C2×C4—1181no—
1561C2×C4—1181no—
1562C2×C4—1181no—
1563C2×C4—1181no—
1564C2×C4—1181no—
1565C2×C4—1181no—
1566C2×C4—1181no—
1567C2×C4—1181no—
1568C2×C4—1181no—
1569C2×C4—4722no—
1570C2×C4—4722no—
1571C2×C4—2364no—
1572C2×C4—2364no—
1573C2×C4—2364no—
1574C2×C4—2364no—
1575C2×C4—2364no—
1576C2×C4C2×D4×D5912yes—
1577C2×C4C2×#1174568712yes—
1578C2×C4C2×#1174568712yes—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—4728no—
1607C22—2361no—
1608C22—2361no—
1609C22—2361no—
1610C22—2361no—
1611C22—2361no—
1612C22—2361no—
1613C22—2361no—
1614C22—2361no—
1615C22—2361no—
1616C22—2361no—
1617C22—2361no—
1618C22—2361no—
1619C22—2361no—
1620C22—2361no—
1621C22#1683794714yes—
1622C22C22×D4×D5911yescharacteristic
1623C22C2×#41×D5911yescharacteristic
1624C22C22×#1174568711yescharacteristic
1625C22H(5,𝔽2)×D5911yescharacteristic
1626C22#1683823711yescharacteristic
1627C22#1683823811yescharacteristic
1628C22#1683823811yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—1182no—
1641C4—1182no—
1642C4—1182no—
1643C4—1182no—
1644C4—1182no—
1645C4—1182no—
1646C4—1182no—
1647C4—2361no—
1648C4—2361no—
1649C4—2361no—
1650C4—2361no—
1651C4—2361no—
1652C4—2361no—
1653C4—2361no—
1654C2—24no—
1655C2—42no—
1656C2—81no—
1657C2—81no—
1658C2—4721no—
1659C2—4721no—
1660C2C2×#1683794711yescharacteristic
1661C2#2143748511yescharacteristic
1662C2#2143750211yescharacteristic
1663C2#2143785611yescharacteristic
1664C2#2143788211yescharacteristic
1665C2#2143802711yescharacteristic
1666C2#2143815511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2543C2
hypercenter#2543D59
hypocenterC59#35009
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2543

Complements

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

NH ≅ G/Ntype
1. C2×#16837997C2semidirect
2. C2×#16837989C2semidirect
3. #21432465C2semidirect
4. #21432462C2semidirect
5. #21432424C2semidirect
6. #21432393C2semidirect
7. #21430254C2semidirect
8. #21430245C2semidirect
9. #21430232C2semidirect
10. #21430221C2semidirect
11. #21429237C2semidirect
12. #21429222C2semidirect
13. #21429207C2semidirect
14. #21429192C2semidirect
15. #21429107C2semidirect
16. #21429028C2semidirect
17. #21428982C2semidirect
18. #21428792C2semidirect
19. #21428762C2semidirect
20. #21428420C2semidirect
21. #21428227C2semidirect
22. #21428095C2semidirect
23. #21428056C2semidirect
24. #21427653C2semidirect
25. #21427638C2semidirect
26. #21426770C2semidirect
27. #21426759C2semidirect
28. #121×Dic59C2semidirect
29. C2×#16837291C2semidirect
30. C4×D4×Dic59C2semidirect
31. C59×#2543C2semidirect
36. C2×#14273720C22semidirect
37. C2×#14273720C22semidirect
38. C2×#14273717C22semidirect
39. C2×#14273717C22semidirect
48. C2×#14273708C22semidirect
49. C2×#14273708C22semidirect
52. C2×#14273704C22semidirect
53. C2×#14273704C22semidirect
64. C2×D4×Dic59C22semidirect
70. C22×C4×Dic59C22semidirect
71. #16837344C22semidirect
72. #16837343C22semidirect
75. #16837336C22semidirect
76. #16837336C22semidirect
77. #16837335C22semidirect
79. #16837330C22semidirect
80. #16837330C22semidirect
81. #16837325C22semidirect
85. #16837323C22semidirect
86. #16837323C22semidirect
93. #16837316C22semidirect
95. #16837314C22semidirect
99. #16837306C22semidirect
100. #16837306C22semidirect
101. #16837306C22semidirect
102. #16837305C22semidirect
111. #16837301C22semidirect
112. #16837299C22semidirect
113. #16837299C22semidirect
114. #16837299C22semidirect
115. #16837299C22semidirect
116. #16837297C22semidirect
117. #16837296C22semidirect
118. #16837295C22semidirect
119. #16837295C22semidirect
120. #16837295C22semidirect
138. #16837290C22semidirect
139. #16837290C22semidirect
140. #16837290C22semidirect
141. #16837284C22semidirect
142. #16837284C22semidirect
145. #16837282C22semidirect
153. #16837274C22semidirect
154. #16837274C22semidirect
155. #16837266C22semidirect
158. #16837260C22semidirect
160. C4⋊C4×Dic59C22semidirect
161. C4⋊C4×Dic59C22semidirect
162. C4⋊C4×Dic59C22semidirect
163. C4×C4⋊Dic59C22semidirect
166. C22⋊C4×Dic59C22semidirect
167. C22⋊C4×Dic59C22semidirect
168. C22⋊C4×Dic59C22semidirect
169. C22⋊C4×Dic59C22semidirect
171. C4×C22⋊Dic59C22semidirect
173. C42×Dic59C22semidirect
178. C59×#398C22semidirect
179. C59×#397C22semidirect
180. C59×#394C22semidirect
181. C59×#392C22semidirect
182. C59×#388C22semidirect
183. C59×#388C22semidirect
186. C59×#386C22semidirect
187. C59×#386C22semidirect
235. D4×Dic59D4semidirect
836. #2543D59semidirect
915. #398C2×D59semidirect
919. #397C2×D59semidirect
933. #394C2×D59semidirect
939. #392C2×D59semidirect
982. #388C2×D59semidirect
983. #388C2×D59semidirect
996. #386C2×D59semidirect
997. #386C2×D59semidirect
1022. C59#35009semidirect

Maximal subgroups

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

subgroupindex
C2×#168379972
C2×#168379892
#214324652
#214324622
#214324242
#214323932
#214302542
#214302452
#214302322
#214302212
#214292372
#214292222
#214292072
#214291922
#214291072
#214290282
#214289822
#214287922
#214287622
#214284202
#214282272
#214280952
#214280562
#214276532
#214276382
#214267702
#214267592
#121×Dic592
C2×#168372912
C4×D4×Dic592
C59×#25432
#3500959