Finite Group Databasebeta

← #28761635

Subgroups — #28761635

Order 15104.

2756 conjugacy classes of subgroups.

The subgroup lattice has 1844 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837985C211yesmaximal, characteristic, complemented
2#21432461C211yesmaximal, characteristic, complemented
3#21432451C211yesmaximal, characteristic, complemented
4#21432439C211yesmaximal, characteristic, complemented
5#21432425C211yesmaximal, characteristic, complemented
6#21430236C211yesmaximal, characteristic, complemented
7#21430235C211yesmaximal, characteristic, complemented
8#21430225C211yesmaximal, characteristic, complemented
9#21430224C211yesmaximal, characteristic, complemented
10#21429169C211yesmaximal, characteristic, complemented
11#21429167C211yesmaximal, characteristic, complemented
12#21429154C211yesmaximal, characteristic, complemented
13#21429152C211yesmaximal, characteristic, complemented
14#21428681C211yesmaximal, characteristic, complemented
15#21428456C211yesmaximal, characteristic, complemented
16#21428229C211yesmaximal, characteristic, complemented
17#21428221C211yesmaximal, characteristic, complemented
18#21427860C211yesmaximal, characteristic, complemented
19#21427795C211yesmaximal, characteristic, complemented
20#21427731C211yesmaximal, characteristic, complemented
21#21427681C211yesmaximal, characteristic, complemented
22#21427638C211yesmaximal, characteristic, complemented
23#21427636C211yesmaximal, characteristic, complemented
24#21427533C211yesmaximal, characteristic, complemented
25#21427449C211yesmaximal, characteristic, complemented
26#21426754C211yesmaximal, characteristic, complemented
27#21426750C211yesmaximal, characteristic, complemented
28C4×#14273699C211yesmaximal, characteristic, complemented
29C2×#16837302C211yesmaximal, characteristic, complemented
30C4×D4×Dic59C211yesmaximal, characteristic, complemented
31C2×C59×#538C211yesmaximal, characteristic, complemented
32C23×C22⋊D59C2211yescharacteristic
33#16837985—28no—
34C2×#14273725C2211yescharacteristic, complemented
35C2×#14273723C2211yescharacteristic
36C2×#14273723C2211yescharacteristic
37C2×#14273722C2211yescharacteristic, complemented
38C2×#14273721C2211yescharacteristic, complemented
39C2×#14273716C2211yescharacteristic, complemented
40C2×#14273715C2211yescharacteristic, complemented
41C2×#14273714C2211yescharacteristic, complemented
42C2×#14273713C2211yescharacteristic, complemented
43C2×#14273712C2211yescharacteristic, complemented
44C2×#14273710C2211yescharacteristic, complemented
45C2×#14273704C2211yescharacteristic
46C2×#14273701C2211yescharacteristic, complemented
47C2×#14273700C2211yescharacteristic, complemented
48C2×#14273699C2211yescharacteristic
49C2×#14273699C2211yescharacteristic
50C2×#14273699C2211yescharacteristic
51C2×#14273699C2211yescharacteristic
52C2×#14273699C2211yescharacteristic, complemented
53C2×#14273699C2211yescharacteristic, complemented
54C2×#14273699C2211yescharacteristic, complemented
55C2×#14273697C2211yescharacteristic
56C2×#14273696C2211yescharacteristic
57C2×#14273695C2211yescharacteristic
58C2×#14273695C2211yescharacteristic
59C2×D4×Dic59C2211yescharacteristic
60C2×D4×Dic59C2211yescharacteristic
61C2×C4×C22⋊D59C2211yescharacteristic
62C2×C4×C22⋊D59C2211yescharacteristic, complemented
63C22×Dic59⋊C4C2211yescharacteristic
64C22×C22⋊Dic59C2211yescharacteristic
65C22×(C2×D59)⋊C4C2211yescharacteristic
66C22×(C2×D59)⋊C4C2211yescharacteristic
67C22×C4×Dic59C2211yescharacteristic
68C22×C4×Dic59C2211yescharacteristic, complemented
69#16837333C2211yescharacteristic, complemented
70#16837332C2211yescharacteristic, complemented
71#16837328C2211yescharacteristic, complemented
72#16837327C2211yescharacteristic, complemented
73#16837325C2211yescharacteristic, complemented
74#16837325C2211yescharacteristic, complemented
75#16837324C2211yescharacteristic, complemented
76#16837324C2211yescharacteristic, complemented
77#16837322C2211yescharacteristic, complemented
78#16837321C2211yescharacteristic, complemented
79#16837319C2211yescharacteristic, complemented
80#16837319C2211yescharacteristic, complemented
81#16837318C2211yescharacteristic
82#16837318C2211yescharacteristic
83#16837318C2211yescharacteristic, complemented
84#16837318C2211yescharacteristic, complemented
85#16837317C2211yescharacteristic, complemented
86#16837317C2211yescharacteristic, complemented
87#16837316C2211yescharacteristic, complemented
88#16837316C2211yescharacteristic, complemented
89#16837316C2211yescharacteristic, complemented
90#16837316C2211yescharacteristic, complemented
91#16837314C2211yescharacteristic, complemented
92#16837313C2211yescharacteristic, complemented
93#16837311C2211yescharacteristic
94#16837311C2211yescharacteristic
95#16837310C2211yescharacteristic
96#16837310C2211yescharacteristic
97#16837310C2211yescharacteristic
98#16837310C2211yescharacteristic
99#16837310C2211yescharacteristic, complemented
100#16837310C2211yescharacteristic, complemented
101#16837305C2211yescharacteristic, complemented
102#16837303C2211yescharacteristic, complemented
103#16837302C2211yescharacteristic
104#16837302C2211yescharacteristic
105#16837302C2211yescharacteristic
106#16837302C2211yescharacteristic
107#16837302C2211yescharacteristic
108#16837302C2211yescharacteristic
109#16837302C2211yescharacteristic
110#16837302C2211yescharacteristic
111#16837302C2211yescharacteristic
112#16837302C2211yescharacteristic
113#16837302C2211yescharacteristic
114#16837302C2211yescharacteristic
115#16837302C2211yescharacteristic, complemented
116#16837302C2211yescharacteristic, complemented
117#16837302C2211yescharacteristic, complemented
118#16837302C2211yescharacteristic, complemented
119#16837302C2211yescharacteristic, complemented
120#16837302C2211yescharacteristic, complemented
121#16837302C2211yescharacteristic, complemented
122#16837302C2211yescharacteristic, complemented
123#16837297C2211yescharacteristic, complemented
124#16837297C2211yescharacteristic, complemented
125#16837297C2211yescharacteristic, complemented
126#16837297C2211yescharacteristic, complemented
127#16837296C2211yescharacteristic, complemented
128#16837296C2211yescharacteristic, complemented
129#16837296C2211yescharacteristic, complemented
130#16837296C2211yescharacteristic, complemented
131#16837296C2211yescharacteristic, complemented
132#16837296C2211yescharacteristic, complemented
133#16837293C2211yescharacteristic, complemented
134#16837293C2211yescharacteristic, complemented
135#16837292C2211yescharacteristic, complemented
136#16837292C2211yescharacteristic, complemented
137#16837292C2211yescharacteristic, complemented
138#16837292C2211yescharacteristic, complemented
139#16837292C2211yescharacteristic, complemented
140#16837292C2211yescharacteristic, complemented
141#16837290C2211yescharacteristic, complemented
142#16837290C2211yescharacteristic, complemented
143#16837282C2211yescharacteristic
144#16837282C2211yescharacteristic
145#16837282C2211yescharacteristic, complemented
146#16837281C2211yescharacteristic
147#16837281C2211yescharacteristic, complemented
148#16837281C2211yescharacteristic, complemented
149#16837279C2211yescharacteristic
150#16837279C2211yescharacteristic, complemented
151#16837278C2211yescharacteristic, complemented
152#16837278C2211yescharacteristic, complemented
153#16837275C2211yescharacteristic
154#16837274C2211yescharacteristic
155#16837271C2211yescharacteristic, complemented
156#16837260C2211yescharacteristic
157#16837260C2211yescharacteristic, complemented
158#16837258C2211yescharacteristic
159#16837257C2211yescharacteristic
160C4⋊C4×Dic59C2211yescharacteristic, complemented
161C4⋊C4×Dic59C2211yescharacteristic, complemented
162C4×Dic59⋊C4C2211yescharacteristic, complemented
163C4×C4⋊Dic59C2211yescharacteristic, complemented
164C22⋊C4×Dic59C2211yescharacteristic
165C22⋊C4×Dic59C2211yescharacteristic
166C22⋊C4×Dic59C2211yescharacteristic, complemented
167C22⋊C4×Dic59C2211yescharacteristic, complemented
168C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
169C4×C22⋊Dic59C2211yescharacteristic
170C4×C22⋊Dic59C2211yescharacteristic, complemented
171C4×C22⋊Dic59C2211yescharacteristic, complemented
172C42×Dic59C2211yescharacteristic, complemented
173C59×#538—28no—
174C2×#126×C59C2211yescharacteristic, complemented
175C2×#126×C59C2211yescharacteristic, complemented
176C2×#124×C59C2211yescharacteristic, complemented
177C2×#124×C59C2211yescharacteristic, complemented
178C2×#123×C59C2211yescharacteristic, complemented
179C2×#123×C59C2211yescharacteristic, complemented
180C2×C22⋊Q8×C59C2211yescharacteristic
181C2×#121×C59C2211yescharacteristic
182C2×#121×C59C2211yescharacteristic, complemented
183C2×#121×C59C2211yescharacteristic, complemented
184C2×#120×C59C2211yescharacteristic
185C2×#120×C59C2211yescharacteristic
186C2×C4×D4×C59C2211yescharacteristic
187C2×C4×D4×C59C2211yescharacteristic
188C22×C22⋊C4×C59C2211yescharacteristic
189C24×D59C2311yescharacteristic
190C22×Dic118C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×C22⋊D59—24no—
194C22×C22⋊D59—42no—
195C22×C22⋊D59—42no—
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C22×C22⋊D59C2311yescharacteristic
205C22×C22⋊D59C2311yescharacteristic
206C22×C22⋊D59C2311yescharacteristic
207C22×C22⋊D59C2311yescharacteristic
208C22×C22⋊D59C2311yescharacteristic
209C23×Dic59C2311yescharacteristic
210C23×Dic59C2311yescharacteristic
211C23×Dic59C2311yescharacteristic
212C23×Dic59C2311yescharacteristic
213C23×Dic59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215#14273725—42no—
216#14273723—42no—
217#14273723—42no—
218#14273722—24no—
219#14273721—24no—
220#14273716—42no—
221#14273715—24no—
222#14273714—42no—
223#14273713—24no—
224#14273712—24no—
225#14273710—24no—
226#14273704—24no—
227#14273701—24no—
228#14273700—24no—
229#14273699—24no—
230#14273699—24no—
231#14273699—42no—
232#14273699—42no—
233#14273699—42no—
234#14273699—42no—
235#14273699—42no—
236#14273697—24no—
237#14273696—24no—
238#14273695—24no—
239#14273695—24no—
240D4×Dic59—24no—
241D4×Dic59—24no—
242C4×C22⋊D59—24no—
243C4×C22⋊D59—42no—
244C2×C4⋊Dic59C2311yescharacteristic
245C2×C4⋊Dic59C2311yescharacteristic
246C2×C4⋊Dic59C2311yescharacteristic
247C2×Dic59⋊C4—42no—
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⋊Dic59—42no—
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×C22⋊Dic59C2311yescharacteristic
282C2×C22⋊Dic59C2311yescharacteristic
283C2×C22⋊Dic59C2311yescharacteristic
284C2×C22⋊Dic59C2311yescharacteristic
285C2×(C2×D59)⋊C4—24no—
286C2×(C2×D59)⋊C4—42no—
287C2×(C2×D59)⋊C4C2311yescharacteristic
288C2×(C2×D59)⋊C4C2311yescharacteristic
289C2×(C2×D59)⋊C4C2311yescharacteristic
290C2×(C2×D59)⋊C4C2311yescharacteristic
291C2×(C2×D59)⋊C4C2311yescharacteristic
292C2×(C2×D59)⋊C4C2311yescharacteristic
293C2×(C2×D59)⋊C4C2311yescharacteristic
294C2×(C2×D59)⋊C4C2311yescharacteristic
295C2×(C2×D59)⋊C4C2311yescharacteristic
296C2×(C2×D59)⋊C4C2311yescharacteristic
297C2×(C2×D59)⋊C4C2311yescharacteristic
298C2×(C2×D59)⋊C4C2311yescharacteristic
299C2×(C2×D59)⋊C4C2311yescharacteristic
300C2×(C2×D59)⋊C4C2311yescharacteristic
301C2×(C2×D59)⋊C4C2311yescharacteristic
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C2×(C2×D59)⋊C4C2311yescharacteristic
304C2×(C2×D59)⋊C4C2311yescharacteristic
305C2×(C2×D59)⋊C4C2311yescharacteristic
306C2×(C2×D59)⋊C4C2311yescharacteristic
307C2×(C2×D59)⋊C4C2311yescharacteristic
308C2×(C2×D59)⋊C4C2311yescharacteristic
309C2×(C2×D59)⋊C4C2311yescharacteristic
310C2×(C2×D59)⋊C4C2311yescharacteristic
311C2×(C2×D59)⋊C4C2311yescharacteristic
312C2×C4×Dic59—42no—
313C2×C4×Dic59—42no—
314C2×C4×Dic59C2311yescharacteristic
315C2×C4×Dic59C2311yescharacteristic
316C2×C4×Dic59C2311yescharacteristic
317C2×C4×Dic59C2311yescharacteristic
318C2×C4×Dic59C2311yescharacteristic
319C2×C4×Dic59C2311yescharacteristic
320C2×C4×Dic59C2311yescharacteristic
321C2×C4×Dic59C2311yescharacteristic
322C2×C4×Dic59C2311yescharacteristic
323C2×C4×Dic59C2311yescharacteristic
324C2×C4×Dic59C2311yescharacteristic
325C2×C4×Dic59C2311yescharacteristic
326C2×C4×Dic59C2311yescharacteristic
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
347C25×C59C2311yescharacteristic
348C22×Q8×C59C2311yescharacteristic
349C22×D4×C59C2311yescharacteristic
350C22×D4×C59C2311yescharacteristic
351C22×D4×C59C2311yescharacteristic
352C22×D4×C59C2311yescharacteristic
353C22×D4×C59C2311yescharacteristic
354C22×D4×C59C2311yescharacteristic
355C22×D4×C59C2311yescharacteristic
356C23×C4×C59C2311yescharacteristic
357C23×C4×C59C2311yescharacteristic
358C23×C4×C59C2311yescharacteristic
359C23×C4×C59C2311yescharacteristic
360#126×C59—24no—
361#126×C59—24no—
362#124×C59—24no—
363#124×C59—24no—
364#123×C59—24no—
365#123×C59—24no—
366C22⋊Q8×C59—24no—
367#121×C59—24no—
368#121×C59—24no—
369#121×C59—24no—
370#120×C59—24no—
371#120×C59—24no—
372C4×D4×C59—24no—
373C4×D4×C59D418yescomplemented
374C2×C4⋊C4×C59C2311yescharacteristic
375C2×C4⋊C4×C59C2311yescharacteristic
376C2×C4⋊C4×C59C2311yescharacteristic
377C2×C4⋊C4×C59C2311yescharacteristic
378C2×C4⋊C4×C59C2311yescharacteristic
379C2×C4⋊C4×C59C2311yescharacteristic
380C2×C22⋊C4×C59—24no—
381C2×C22⋊C4×C59C2311yescharacteristic
382C2×C22⋊C4×C59C2311yescharacteristic
383C2×C22⋊C4×C59C2311yescharacteristic
384C2×C22⋊C4×C59C2311yescharacteristic
385C2×C22⋊C4×C59C2311yescharacteristic
386C2×C22⋊C4×C59C2311yescharacteristic
387C2×C22⋊C4×C59C2311yescharacteristic
388C2×C22⋊C4×C59C2311yescharacteristic
389C2×C22⋊C4×C59C2311yescharacteristic
390C2×C22⋊C4×C59C2311yescharacteristic
391C2×C22⋊C4×C59C2311yescharacteristic
392C2×C22⋊C4×C59C2311yescharacteristic
393C2×C22⋊C4×C59C2311yescharacteristic
394C2×C22⋊C4×C59C2311yescharacteristic
395C2×C42×C59C2311yescharacteristic
396C2×C42×C59C2311yescharacteristic
397C24×C59—22no—
398C24×C59—22no—
399C24×C59—22no—
400C24×C59—41no—
401C24×C59—41no—
402C24×C59—41no—
403C24×C59—41no—
404C24×C59C2411yescharacteristic
405C24×C59C2411yescharacteristic
406C24×C59C2411yescharacteristic
407C24×C59C2411yescharacteristic
408C24×C59C2411yescharacteristic
409C23×D59—22no—
410C23×D59—22no—
411C23×D59—22no—
412C23×D59—41no—
413C23×D59—41no—
414C23×D59—41no—
415C23×D59—41no—
416C23×D59C2411yescharacteristic
417C23×D59C2411yescharacteristic
418C23×D59C2411yescharacteristic
419C2×Q8×C59—22no—
420C2×Q8×C59—41no—
421C2×Q8×C59—41no—
422C2×D4×C59—22no—
423C2×D4×C59—22no—
424C2×D4×C59—22no—
425C2×D4×C59—22no—
426C2×D4×C59—22no—
427C2×D4×C59—22no—
428C2×D4×C59—22no—
429C2×D4×C59—22no—
430C2×D4×C59—22no—
431C2×D4×C59—22no—
432C2×D4×C59—41no—
433C2×D4×C59—41no—
434C2×D4×C59—41no—
435C2×D4×C59—41no—
436C2×D4×C59—41no—
437C2×D4×C59—41no—
438C2×D4×C59—41no—
439C2×D4×C59—41no—
440C2×D4×C59—41no—
441C2×D4×C59—41no—
442C2×D4×C59C2×D414yes—
443C22×C4×C59—22no—
444C22×C4×C59—22no—
445C22×C4×C59—41no—
446C22×C4×C59—41no—
447C22×C4×C59—41no—
448C22×C4×C59—41no—
449C22×C4×C59—41no—
450C22×C4×C59—41no—
451C22×C4×C59—41no—
452C22×C4×C59—41no—
453C22×C4×C59C2×D414yes—
454C22×C4×C59C2×D414yescomplemented
455C22×C4×C59C2411yescharacteristic
456C22×C4×C59C2411yescharacteristic
457C22×C4×C59C2411yescharacteristic
458C22×C4×C59C2411yescharacteristic
459C22×C4×C59C2411yescharacteristic
460C22×C4×C59C2411yescharacteristic
461C22×C4×C59C2411yescharacteristic
462C22×C4×C59C2411yescharacteristic
463C22×C4×C59C2411yescharacteristic
464C22×C4×C59C2411yescharacteristic
465C2×C22⋊D59—22no—
466C2×C22⋊D59—22no—
467C2×C22⋊D59—22no—
468C2×C22⋊D59—22no—
469C2×C22⋊D59—22no—
470C2×C22⋊D59—22no—
471C2×C22⋊D59—22no—
472C2×C22⋊D59—22no—
473C2×C22⋊D59—22no—
474C2×C22⋊D59—22no—
475C2×C22⋊D59—22no—
476C2×C22⋊D59—22no—
477C2×C22⋊D59—22no—
478C2×C22⋊D59—22no—
479C2×C22⋊D59—22no—
480C2×C22⋊D59—22no—
481C2×C22⋊D59—22no—
482C2×C22⋊D59—22no—
483C2×C22⋊D59—22no—
484C2×C22⋊D59—22no—
485C2×C22⋊D59—22no—
486C2×C22⋊D59—41no—
487C2×C22⋊D59—41no—
488C2×C22⋊D59—41no—
489C2×C22⋊D59—41no—
490C2×C22⋊D59—416no—
491C2×C22⋊D59—41no—
492C2×C22⋊D59—41no—
493C2×C22⋊D59—41no—
494C2×C22⋊D59—41no—
495C2×C22⋊D59—41no—
496C2×C22⋊D59—41no—
497C2×C22⋊D59—41no—
498C2×C22⋊D59—41no—
499C2×C22⋊D59—41no—
500C2×C22⋊D59—41no—
501C2×C22⋊D59—41no—
502C2×C22⋊D59—41no—
503C2×C22⋊D59—41no—
504C2×C22⋊D59—41no—
505C22×Dic59—22no—
506C22×Dic59—22no—
507C22×Dic59—22no—
508C22×Dic59—22no—
509C22×Dic59—22no—
510C22×Dic59—22no—
511C22×Dic59—22no—
512C22×Dic59—22no—
513C22×Dic59—22no—
514C22×Dic59—22no—
515C22×Dic59—41no—
516C22×Dic59—41no—
517C22×Dic59—41no—
518C22×Dic59—41no—
519C22×Dic59#4114yes—
520C22×Dic59C2411yescharacteristic
521C22×Dic59C2411yescharacteristic
522C22×Dic59C2411yescharacteristic
523C22×Dic59C2411yescharacteristic
524C22×Dic59C2411yescharacteristic
525C22×Dic59C2411yescharacteristic
526C22×Dic59C2411yescharacteristic
527C22×Dic59C2411yescharacteristic
528C22×Dic59C2411yescharacteristic
529C22×Dic59C2411yescharacteristic
530C22×Dic59C2411yescharacteristic
531C22×Dic59C2411yescharacteristic
532C22×Dic59C2411yescharacteristic
533C2×D236—22no—
534C2×D236—22no—
535C2×D236—41no—
536C2×D236—41no—
537C2×D236—41no—
538C2×D236—41no—
539C2×C4×D59—22no—
540C2×C4×D59—41no—
541C2×C4×D59—41no—
542C2×Dic118—22no—
543C2×Dic118—41no—
544C2×Dic118—41no—
545C4⋊C4×C59—22no—
546C4⋊C4×C59—22no—
547C4⋊C4×C59—22no—
548C4⋊C4×C59—22no—
549C4⋊C4×C59—22no—
550C4⋊C4×C59C2×D414yescomplemented
551C22⋊C4×C59—22no—
552C22⋊C4×C59—22no—
553C22⋊C4×C59—22no—
554C22⋊C4×C59—22no—
555C22⋊C4×C59—22no—
556C22⋊C4×C59—22no—
557C22⋊C4×C59—22no—
558C22⋊C4×C59—22no—
559C22⋊C4×C59—22no—
560C22⋊C4×C59—22no—
561C22⋊C4×C59—22no—
562C22⋊C4×C59—22no—
563C22⋊C4×C59C2×D414yes—
564C22⋊C4×C59C2×D414yescomplemented
565C42×C59—22no—
566C42×C59C2×D414yescomplemented
567C22⋊Dic59—22no—
568C22⋊Dic59—22no—
569C22⋊Dic59—22no—
570C22⋊Dic59—22no—
571C22⋊Dic59—22no—
572C22⋊Dic59—22no—
573C22⋊Dic59—22no—
574C22⋊Dic59—22no—
575C22⋊Dic59—22no—
576C22⋊Dic59—22no—
577C22⋊Dic59—22no—
578C22⋊Dic59—41no—
579C22⋊Dic59—41no—
580C22⋊Dic59—41no—
581C22⋊Dic59—41no—
582C22⋊Dic59—41no—
583C22⋊Dic59—41no—
584C22⋊Dic59—41no—
585C22⋊Dic59—41no—
586C22⋊Dic59—41no—
587C22⋊Dic59#4114yes—
588(C2×D59)⋊C4—22no—
589(C2×D59)⋊C4—22no—
590(C2×D59)⋊C4—22no—
591(C2×D59)⋊C4—22no—
592(C2×D59)⋊C4—22no—
593(C2×D59)⋊C4—22no—
594(C2×D59)⋊C4—22no—
595(C2×D59)⋊C4—22no—
596(C2×D59)⋊C4—22no—
597(C2×D59)⋊C4—22no—
598(C2×D59)⋊C4—22no—
599(C2×D59)⋊C4—22no—
600(C2×D59)⋊C4—22no—
601(C2×D59)⋊C4—22no—
602(C2×D59)⋊C4—22no—
603(C2×D59)⋊C4—22no—
604(C2×D59)⋊C4—41no—
605(C2×D59)⋊C4—41no—
606(C2×D59)⋊C4—41no—
607(C2×D59)⋊C4—41no—
608(C2×D59)⋊C4—41no—
609(C2×D59)⋊C4—41no—
610(C2×D59)⋊C4—41no—
611(C2×D59)⋊C4—41no—
612(C2×D59)⋊C4—41no—
613C4⋊Dic59—22no—
614C4⋊Dic59—22no—
615C4⋊Dic59—22no—
616Dic59⋊C4—22no—
617Dic59⋊C4—22no—
618Dic59⋊C4—22no—
619Dic59⋊C4—22no—
620Dic59⋊C4—22no—
621Dic59⋊C4—22no—
622Dic59⋊C4—22no—
623Dic59⋊C4—22no—
624Dic59⋊C4—22no—
625Dic59⋊C4—41no—
626Dic59⋊C4—41no—
627Dic59⋊C4—41no—
628Dic59⋊C4—41no—
629Dic59⋊C4—41no—
630Dic59⋊C4—41no—
631C4×Dic59—22no—
632C4×Dic59—22no—
633C4×Dic59—22no—
634C4×Dic59—22no—
635C4×Dic59—22no—
636C4×Dic59—22no—
637C4×Dic59—22no—
638C4×Dic59—22no—
639C4×Dic59—41no—
640C4×Dic59—41no—
641C4×Dic59—41no—
642C4×Dic59—41no—
643C4×Dic59—41no—
644C23×C59—21no—
645C23×C59—21no—
646C23×C59—21no—
647C23×C59—21no—
648C23×C59—21no—
649C23×C59—21no—
650C23×C59—21no—
651C23×C59—21no—
652C23×C59—21no—
653C23×C59—21no—
654C23×C59—21no—
655C23×C59—21no—
656C23×C59—21no—
657C23×C59—21no—
658C23×C59—21no—
659C23×C59—21no—
660C23×C59—21no—
661C23×C59—21no—
662C23×C59—21no—
663C23×C59—21no—
664C23×C59—21no—
665C23×C59—21no—
666C23×C59—21no—
667C23×C59—21no—
668C23×C59—21no—
669C23×C59—21no—
670C23×C59—21no—
671C23×C59—21no—
672C23×C59—21no—
673C23×C59—21no—
674C23×C59—21no—
675C23×C59—44no—
676C23×C59—44no—
677C23×C59—44no—
678C23×C59—82no—
679C23×C59—82no—
680C23×C59—82no—
681C23×C59—82no—
682C23×C59C22×D412yes—
683C23×C59C22×D412yes—
684C23×C59C2×#4112yes—
685C23×C59C2×#4112yes—
686C23×C59C2511yescharacteristic
687C22×D59—21no—
688C22×D59—21no—
689C22×D59—21no—
690C22×D59—21no—
691C22×D59—21no—
692C22×D59—21no—
693C22×D59—21no—
694C22×D59—21no—
695C22×D59—21no—
696C22×D59—21no—
697C22×D59—21no—
698C22×D59—21no—
699C22×D59—21no—
700C22×D59—21no—
701C22×D59—21no—
702C22×D59—21no—
703C22×D59—21no—
704C22×D59—21no—
705C22×D59—21no—
706C22×D59—21no—
707C22×D59—21no—
708C22×D59—44no—
709C22×D59—44no—
710C22×D59—44no—
711C22×D59—82no—
712C22×D59—82no—
713C22×D59—82no—
714C22×D59—82no—
715Q8×C59—82no—
716D4×C59—28no—
717D4×C59—44no—
718D4×C59—82no—
719D4×C59—82no—
720D4×C59—82no—
721D4×C59—82no—
722D4×C59—82no—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—21no—
728C2×C4×C59—21no—
729C2×C4×C59—21no—
730C2×C4×C59—21no—
731C2×C4×C59—21no—
732C2×C4×C59—21no—
733C2×C4×C59—21no—
734C2×C4×C59—21no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—44no—
749C2×C4×C59—44no—
750C2×C4×C59—82no—
751C2×C4×C59—82no—
752C2×C4×C59C22×D412yes—
753C2×C4×C59C22×D412yes—
754C2×C4×C59C22×D412yes—
755C2×C4×C59C22×D412yes—
756C2×C4×C59C22×D412yes—
757C22⋊D59—44no—
758C22⋊D59—44no—
759C22⋊D59—44no—
760C22⋊D59—44no—
761C22⋊D59—44no—
762C22⋊D59—44no—
763C22⋊D59—82no—
764C22⋊D59—82no—
765C22⋊D59—82no—
766C22⋊D59—82no—
767C22⋊D59—82no—
768C22⋊D59—82no—
769C22⋊D59—82no—
770C2×Dic59—21no—
771C2×Dic59—21no—
772C2×Dic59—21no—
773C2×Dic59—21no—
774C2×Dic59—21no—
775C2×Dic59—21no—
776C2×Dic59—21no—
777C2×Dic59—21no—
778C2×Dic59—28no—
779C2×Dic59—21no—
780C2×Dic59—21no—
781C2×Dic59—21no—
782C2×Dic59—21no—
783C2×Dic59—21no—
784C2×Dic59—21no—
785C2×Dic59—21no—
786C2×Dic59—21no—
787C2×Dic59—21no—
788C2×Dic59—21no—
789C2×Dic59—21no—
790C2×Dic59—21no—
791C2×Dic59—21no—
792C2×Dic59—21no—
793C2×Dic59—21no—
794C2×Dic59—21no—
795C2×Dic59—21no—
796C2×Dic59—21no—
797C2×Dic59—21no—
798C2×Dic59—21no—
799C2×Dic59—21no—
800C2×Dic59—21no—
801C2×Dic59—21no—
802C2×Dic59—21no—
803C2×Dic59—44no—
804C2×Dic59—44no—
805C2×Dic59—44no—
806C2×Dic59—82no—
807C2×Dic59C2×#4112yes—
808C2×Dic59C2×#4112yes—
809C2×Dic59C2×#4112yes—
810C2×Dic59C2×#4112yes—
811C2×Dic59H(5,𝔽2)12yes—
812C2×Dic59H(5,𝔽2)12yes—
813C2×Dic59H(5,𝔽2)12yes—
814D236—82no—
815D236—82no—
816C4×D59—82no—
817Dic118—82no—
818#35007—591nomaximal, Sylow
819C22×C59—22no—
820C22×C59—22no—
821C22×C59—22no—
822C22×C59—22no—
823C22×C59—22no—
824C22×C59—22no—
825C22×C59—22no—
826C22×C59—22no—
827C22×C59—22no—
828C22×C59—41no—
829C22×C59—41no—
830C22×C59—41no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59—41no—
837C22×C59—41no—
838C22×C59—41no—
839C22×C59—41no—
840C22×C59—41no—
841C22×C59—41no—
842C22×C59—41no—
843C22×C59—41no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—88no—
854C22×C59#53214yes—
855C22×C59C23×D411yescharacteristic
856C22×C59C22×#4111yescharacteristic
857C22×C59C22×#4111yescharacteristic
858C22×C59C2×H(5,𝔽2)11yescharacteristic
859C22×C59C2×H(5,𝔽2)11yescharacteristic
860C22×C59C2×H(5,𝔽2)11yescharacteristic
861C22×C59#58511yescharacteristic
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—41no—
866C2×D59—41no—
867C2×D59—41no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—41no—
873C2×D59—41no—
874C2×D59—41no—
875C2×D59—41no—
876C2×D59—41no—
877C2×D59—41no—
878C2×D59—41no—
879C2×D59—41no—
880C2×D59—41no—
881C2×D59—41no—
882C2×D59—41no—
883C2×D59—88no—
884C4×C59—22no—
885C4×C59—22no—
886C4×C59—22no—
887C4×C59—22no—
888C4×C59—22no—
889C4×C59—41no—
890C4×C59—41no—
891C4×C59—41no—
892C4×C59—41no—
893C4×C59—41no—
894Dic59—22no—
895Dic59—22no—
896Dic59—22no—
897Dic59—22no—
898Dic59—41no—
899Dic59—41no—
900Dic59—41no—
901Dic59—41no—
902Dic59—41no—
903Dic59—41no—
904Dic59—41no—
905Dic59—41no—
906Dic59#53814yescomplemented
907C2×#538—591no—
908C2×#538D5911yescharacteristic, complemented
909#2860—591no—
910#2858—591no—
911#2856—591no—
912#2854—591no—
913#2662—591no—
914#2662—591no—
915#2661—591no—
916#2661—591no—
917#2555—591no—
918#2555—591no—
919#2554—591no—
920#2554—591no—
921#2512—591no—
922#2491—591no—
923#2472—591no—
924#2472—591no—
925#2445—591no—
926#2440—591no—
927#2433—591no—
928#2428—591no—
929#2424—591no—
930#2424—591no—
931#2416—591no—
932#2408—591no—
933#2321—591no—
934#2321—591no—
935C4×#121—591no—
936C2×#390—591no—
937C42×D4—591no—
938C2×C59—24no—
939C2×C59—42no—
940C2×C59—81no—
941C2×C59—81no—
942C2×C59—81no—
943C2×C59C2×#53211yescharacteristic
944C2×C59C2×#53811yescharacteristic
945C2×C59#346011yescharacteristic
946C2×C59#349611yescharacteristic
947C2×C59#349811yescharacteristic
948C2×C59#351411yescharacteristic
949C2×C59#351911yescharacteristic
950D59—81no—
951D59—81no—
952D59—81no—
953C23×D4—591no—
954#538—28no—
955#538—1188no—
956C2×C4⋊Q8—591no—
957C2×#127—591no—
958C2×#127—591no—
959C2×#126—591no—
960C2×#126—591no—
961C2×#126C2×D5911yescharacteristic, complemented
962C2×#126C2×D5911yescharacteristic, complemented
963C2×#124—591no—
964C2×#124—591no—
965C2×#124—591no—
966C2×#124—591no—
967C2×#124C2×D5911yescharacteristic, complemented
968C2×#124C2×D5911yescharacteristic, complemented
969C2×#123—591no—
970C2×#123—591no—
971C2×#123C2×D5911yescharacteristic, complemented
972C2×#123C2×D5911yescharacteristic, complemented
973C2×C22⋊Q8—591no—
974C2×C22⋊Q8C2×D5911yescharacteristic
975C2×#121—591no—
976C2×#121—591no—
977C2×#121—591no—
978C2×#121—591no—
979C2×#121—591no—
980C2×#121—591no—
981C2×#121—591no—
982C2×#121—591no—
983C2×#121—591no—
984C2×#121C2×D5911yescharacteristic
985C2×#121C2×D5911yescharacteristic, complemented
986C2×#121C2×D5911yescharacteristic, complemented
987C2×#120—591no—
988C2×#120—591no—
989C2×#120—591no—
990C2×#120—591no—
991C2×#120C2×D5911yescharacteristic
992C2×#120C2×D5911yescharacteristic
993C2×C4×D4—591no—
994C2×C4×D4—591no—
995C2×C4×D4—591no—
996C2×C4×D4—591no—
997C2×C4×D4C2×D5911yescharacteristic
998C2×C4×D4C2×D5911yescharacteristic
999C22×C4⋊C4—591no—
1000C22×C22⋊C4—591no—
1001C22×C22⋊C4—591no—
1002C22×C22⋊C4—591no—
1003C22×C22⋊C4C2×D5911yescharacteristic
1004C22×C42—591no—
1005C22×C42—591no—
1006#398—591no—
1007#398—591no—
1008#397—591no—
1009#397—591no—
1010#396—591no—
1011#396—591no—
1012#396—591no—
1013#396—591no—
1014#395—591no—
1015#395—591no—
1016#394—591no—
1017#394—591no—
1018#394—591no—
1019#394—591no—
1020#394—591no—
1021#394—591no—
1022#394—591no—
1023#394—591no—
1024#394—591no—
1025#394—591no—
1026#394—591no—
1027#394—591no—
1028#393—591no—
1029#393—591no—
1030#392—591no—
1031#392—591no—
1032#392—591no—
1033#392—591no—
1034#392—591no—
1035#392—591no—
1036#392—591no—
1037#392—591no—
1038#390—591no—
1039#390—591no—
1040#390—591no—
1041#390—591no—
1042#390—591no—
1043#390—591no—
1044#390—591no—
1045#390—591no—
1046#390—591no—
1047#390—591no—
1048#390—591no—
1049#390—591no—
1050#390—591no—
1051#390—591no—
1052#390—591no—
1053#390—591no—
1054#390—591no—
1055#390—591no—
1056#390—591no—
1057#390—591no—
1058#390—591no—
1059#390—591no—
1060#389—591no—
1061#389—591no—
1062#389—591no—
1063#389—591no—
1064#388—591no—
1065#388—591no—
1066#388—591no—
1067#388—591no—
1068#388—591no—
1069#388—591no—
1070#388—591no—
1071#388—591no—
1072#388—591no—
1073#388—591no—
1074#388—591no—
1075#388—591no—
1076#388—591no—
1077#388—591no—
1078#388—591no—
1079#388—591no—
1080#386—591no—
1081#386—591no—
1082#386—591no—
1083#386—591no—
1084#386—591no—
1085#386—591no—
1086#386—591no—
1087#386—591no—
1088#386—591no—
1089#386—591no—
1090#385—591no—
1091#385—591no—
1092#384—591no—
1093#380—591no—
1094#380—591no—
1095#379—591no—
1096#379—591no—
1097C4×C4⋊C4—591no—
1098C4×C4⋊C4—591no—
1099C4×C4⋊C4—591no—
1100C4×C4⋊C4—591no—
1101C4×C22⋊C4—591no—
1102C4×C22⋊C4—591no—
1103C4×C22⋊C4—591no—
1104C4×C22⋊C4—591no—
1105C4×C22⋊C4—591no—
1106C4×C22⋊C4—591no—
1107C4×C22⋊C4—591no—
1108C4×C22⋊C4—591no—
1109C43—591no—
1110C59#3500711yescharacteristic, complemented, Sylow
1111C25—591no—
1112C25C22×D5911yescharacteristic
1113C22×Q8—591no—
1114C22×Q8C22×D5911yescharacteristic
1115C22×D4—591no—
1116C22×D4—591no—
1117C22×D4—591no—
1118C22×D4—591no—
1119C22×D4—591no—
1120C22×D4—591no—
1121C22×D4—591no—
1122C22×D4—591no—
1123C22×D4—591no—
1124C22×D4—591no—
1125C22×D4—591no—
1126C22×D4—591no—
1127C22×D4—591no—
1128C22×D4—591no—
1129C22×D4—591no—
1130C22×D4—1184no—
1131C22×D4—2362no—
1132C22×D4—2362no—
1133C22×D4C22×D5911yescharacteristic
1134C22×D4C22×D5911yescharacteristic
1135C22×D4C22×D5911yescharacteristic
1136C22×D4C22×D5911yescharacteristic
1137C22×D4C22×D5911yescharacteristic
1138C22×D4C22×D5911yescharacteristic
1139C22×D4C22×D5911yescharacteristic
1140C23×C4—591no—
1141C23×C4—591no—
1142C23×C4—591no—
1143C23×C4—591no—
1144C23×C4—591no—
1145C23×C4—591no—
1146C23×C4C22×D5911yescharacteristic
1147C23×C4C22×D5911yescharacteristic
1148C23×C4C22×D5911yescharacteristic
1149C23×C4C22×D5911yescharacteristic
1150C4⋊Q8—2362no—
1151#127—2362no—
1152#127—2362no—
1153#126—24no—
1154#126—24no—
1155#126—1184no—
1156#126—1184no—
1157#124—24no—
1158#124—24no—
1159#124—1184no—
1160#124—1184no—
1161#124—2362no—
1162#124—2362no—
1163#123—24no—
1164#123—24no—
1165#123—1184no—
1166#123—1184no—
1167C22⋊Q8—24no—
1168C22⋊Q8—1184no—
1169#121—24no—
1170#121—24no—
1171#121—24no—
1172#121—1184no—
1173#121—1184no—
1174#121—1184no—
1175#121—1184no—
1176#121—2362no—
1177#121—2362no—
1178#121—2362no—
1179#121—2362no—
1180#121—2362no—
1181#120—24no—
1182#120—24no—
1183#120—1184no—
1184#120—1184no—
1185#120—1184no—
1186#120—1184no—
1187C4×D4—24no—
1188C4×D4—1184no—
1189C4×D4—1184no—
1190C4×D4—1184no—
1191C4×D4—2362no—
1192C4×D4C22⋊D5918yescomplemented
1193C2×C4⋊C4—591no—
1194C2×C4⋊C4—591no—
1195C2×C4⋊C4—591no—
1196C2×C4⋊C4—591no—
1197C2×C4⋊C4—591no—
1198C2×C4⋊C4—591no—
1199C2×C4⋊C4—591no—
1200C2×C4⋊C4—591no—
1201C2×C4⋊C4—591no—
1202C2×C4⋊C4—591no—
1203C2×C4⋊C4—591no—
1204C2×C4⋊C4—591no—
1205C2×C4⋊C4—591no—
1206C2×C4⋊C4—591no—
1207C2×C4⋊C4—591no—
1208C2×C4⋊C4—591no—
1209C2×C4⋊C4—591no—
1210C2×C4⋊C4—591no—
1211C2×C4⋊C4—2362no—
1212C2×C4⋊C4C22×D5911yescharacteristic
1213C2×C4⋊C4C22×D5911yescharacteristic
1214C2×C4⋊C4C22×D5911yescharacteristic
1215C2×C4⋊C4C22×D5911yescharacteristic
1216C2×C4⋊C4C22×D5911yescharacteristic
1217C2×C4⋊C4C22×D5911yescharacteristic
1218C2×C22⋊C4—24no—
1219C2×C22⋊C4—591no—
1220C2×C22⋊C4—591no—
1221C2×C22⋊C4—591no—
1222C2×C22⋊C4—591no—
1223C2×C22⋊C4—591no—
1224C2×C22⋊C4—591no—
1225C2×C22⋊C4—591no—
1226C2×C22⋊C4—591no—
1227C2×C22⋊C4—591no—
1228C2×C22⋊C4—591no—
1229C2×C22⋊C4—591no—
1230C2×C22⋊C4—591no—
1231C2×C22⋊C4—591no—
1232C2×C22⋊C4—591no—
1233C2×C22⋊C4—591no—
1234C2×C22⋊C4—591no—
1235C2×C22⋊C4—591no—
1236C2×C22⋊C4—591no—
1237C2×C22⋊C4—591no—
1238C2×C22⋊C4—591no—
1239C2×C22⋊C4—591no—
1240C2×C22⋊C4—591no—
1241C2×C22⋊C4—591no—
1242C2×C22⋊C4—591no—
1243C2×C22⋊C4—591no—
1244C2×C22⋊C4—591no—
1245C2×C22⋊C4—591no—
1246C2×C22⋊C4—591no—
1247C2×C22⋊C4—591no—
1248C2×C22⋊C4—591no—
1249C2×C22⋊C4—591no—
1250C2×C22⋊C4—591no—
1251C2×C22⋊C4—591no—
1252C2×C22⋊C4—591no—
1253C2×C22⋊C4—591no—
1254C2×C22⋊C4—591no—
1255C2×C22⋊C4—591no—
1256C2×C22⋊C4—591no—
1257C2×C22⋊C4—591no—
1258C2×C22⋊C4—591no—
1259C2×C22⋊C4—591no—
1260C2×C22⋊C4—591no—
1261C2×C22⋊C4—591no—
1262C2×C22⋊C4—591no—
1263C2×C22⋊C4—591no—
1264C2×C22⋊C4—591no—
1265C2×C22⋊C4—1184no—
1266C2×C22⋊C4—2362no—
1267C2×C22⋊C4—2362no—
1268C2×C22⋊C4C22×D5911yescharacteristic
1269C2×C22⋊C4C22×D5911yescharacteristic
1270C2×C22⋊C4C22×D5911yescharacteristic
1271C2×C22⋊C4C22×D5911yescharacteristic
1272C2×C22⋊C4C22×D5911yescharacteristic
1273C2×C22⋊C4C22×D5911yescharacteristic
1274C2×C22⋊C4C22×D5911yescharacteristic
1275C2×C22⋊C4C22×D5911yescharacteristic
1276C2×C22⋊C4C22×D5911yescharacteristic
1277C2×C22⋊C4C22×D5911yescharacteristic
1278C2×C22⋊C4C22×D5911yescharacteristic
1279C2×C22⋊C4C22×D5911yescharacteristic
1280C2×C22⋊C4C22×D5911yescharacteristic
1281C2×C22⋊C4C22×D5911yescharacteristic
1282C2×C42—591no—
1283C2×C42—591no—
1284C2×C42—591no—
1285C2×C42—591no—
1286C2×C42—591no—
1287C2×C42—591no—
1288C2×C42—591no—
1289C2×C42—591no—
1290C2×C42—591no—
1291C2×C42—591no—
1292C2×C42—591no—
1293C2×C42—591no—
1294C2×C42—591no—
1295C2×C42—2362no—
1296C2×C42—2362no—
1297C2×C42C22×D5911yescharacteristic
1298C2×C42C22×D5911yescharacteristic
1299#95—591no—
1300#95—591no—
1301#95—591no—
1302#95—591no—
1303#95—591no—
1304#95—591no—
1305#95—591no—
1306#95—591no—
1307#95—591no—
1308#95—591no—
1309#95—591no—
1310#95—591no—
1311#95—591no—
1312#95—591no—
1313#95—591no—
1314#95—591no—
1315#95—591no—
1316#95—591no—
1317#95—591no—
1318#95—591no—
1319C24—22no—
1320C24—22no—
1321C24—22no—
1322C24—41no—
1323C24—41no—
1324C24—41no—
1325C24—41no—
1326C24—591no—
1327C24—591no—
1328C24—591no—
1329C24—1182no—
1330C24—1182no—
1331C24—1182no—
1332C24—2361no—
1333C24—2361no—
1334C24—2361no—
1335C24—2361no—
1336C24C23×D5911yescharacteristic
1337C24C23×D5911yescharacteristic
1338C24C23×D5911yescharacteristic
1339C24C23×D5911yescharacteristic
1340C24C23×D5911yescharacteristic
1341C2×Q8—22no—
1342C2×Q8—41no—
1343C2×Q8—41no—
1344C2×Q8—1182no—
1345C2×Q8—2361no—
1346C2×Q8—2361no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—22no—
1356C2×D4—22no—
1357C2×D4—41no—
1358C2×D4—41no—
1359C2×D4—41no—
1360C2×D4—41no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4—41no—
1364C2×D4—41no—
1365C2×D4—41no—
1366C2×D4—41no—
1367C2×D4—1182no—
1368C2×D4—1182no—
1369C2×D4—1182no—
1370C2×D4—1182no—
1371C2×D4—1182no—
1372C2×D4—1182no—
1373C2×D4—1182no—
1374C2×D4—1182no—
1375C2×D4—1182no—
1376C2×D4—1182no—
1377C2×D4—1182no—
1378C2×D4—1182no—
1379C2×D4—1182no—
1380C2×D4—1182no—
1381C2×D4—1182no—
1382C2×D4—1182no—
1383C2×D4—1182no—
1384C2×D4—1182no—
1385C2×D4—1182no—
1386C2×D4—1182no—
1387C2×D4—1182no—
1388C2×D4—1182no—
1389C2×D4—1182no—
1390C2×D4—2361no—
1391C2×D4—2361no—
1392C2×D4—2361no—
1393C2×D4—2361no—
1394C2×D4—2361no—
1395C2×D4—2361no—
1396C2×D4—2361no—
1397C2×D4—2361no—
1398C2×D4—2361no—
1399C2×D4—2361no—
1400C2×D4—2361no—
1401C2×D4—2361no—
1402C2×D4—2361no—
1403C2×D4—2361no—
1404C2×D4—2361no—
1405C2×D4—2361no—
1406C2×D4—2361no—
1407C2×D4—2361no—
1408C2×D4—2361no—
1409C2×D4—2361no—
1410C2×D4—2361no—
1411C2×D4—2361no—
1412C2×D4—23616no—
1413C2×D4C2×C22⋊D5914yes—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—41no—
1417C22×C4—41no—
1418C22×C4—41no—
1419C22×C4—41no—
1420C22×C4—41no—
1421C22×C4—41no—
1422C22×C4—41no—
1423C22×C4—41no—
1424C22×C4—591no—
1425C22×C4—594no—
1426C22×C4—591no—
1427C22×C4—591no—
1428C22×C4—591no—
1429C22×C4—591no—
1430C22×C4—591no—
1431C22×C4—591no—
1432C22×C4—591no—
1433C22×C4—591no—
1434C22×C4—591no—
1435C22×C4—591no—
1436C22×C4—591no—
1437C22×C4—591no—
1438C22×C4—1182no—
1439C22×C4—1182no—
1440C22×C4—1182no—
1441C22×C4—1182no—
1442C22×C4—1182no—
1443C22×C4—1182no—
1444C22×C4—1182no—
1445C22×C4—1182no—
1446C22×C4—1182no—
1447C22×C4—1182no—
1448C22×C4—1182no—
1449C22×C4—2361no—
1450C22×C4—2361no—
1451C22×C4—2361no—
1452C22×C4—2361no—
1453C22×C4—2361no—
1454C22×C4—2361no—
1455C22×C4C2×C22⋊D5914yes—
1456C22×C4C2×C22⋊D5914yescomplemented
1457C22×C4C23×D5911yescharacteristic
1458C22×C4C23×D5911yescharacteristic
1459C22×C4C23×D5911yescharacteristic
1460C22×C4C23×D5911yescharacteristic
1461C22×C4C23×D5911yescharacteristic
1462C22×C4C23×D5911yescharacteristic
1463C22×C4C23×D5911yescharacteristic
1464C22×C4C23×D5911yescharacteristic
1465C22×C4C23×D5911yescharacteristic
1466C22×C4C23×D5911yescharacteristic
1467C4⋊C4—22no—
1468C4⋊C4—22no—
1469C4⋊C4—22no—
1470C4⋊C4—22no—
1471C4⋊C4—22no—
1472C4⋊C4—1182no—
1473C4⋊C4—1182no—
1474C4⋊C4—1182no—
1475C4⋊C4—1182no—
1476C4⋊C4—1182no—
1477C4⋊C4—1182no—
1478C4⋊C4—1182no—
1479C4⋊C4—1182no—
1480C4⋊C4—1182no—
1481C4⋊C4—1182no—
1482C4⋊C4—1182no—
1483C4⋊C4—1182no—
1484C4⋊C4—2361no—
1485C4⋊C4—2361no—
1486C4⋊C4—2361no—
1487C4⋊C4—2361no—
1488C4⋊C4—2361no—
1489C4⋊C4—2361no—
1490C4⋊C4C2×C22⋊D5914yescomplemented
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—22no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—22no—
1497C22⋊C4—22no—
1498C22⋊C4—22no—
1499C22⋊C4—22no—
1500C22⋊C4—22no—
1501C22⋊C4—22no—
1502C22⋊C4—22no—
1503C22⋊C4—594no—
1504C22⋊C4—1182no—
1505C22⋊C4—1182no—
1506C22⋊C4—1182no—
1507C22⋊C4—1182no—
1508C22⋊C4—1182no—
1509C22⋊C4—1182no—
1510C22⋊C4—1182no—
1511C22⋊C4—1182no—
1512C22⋊C4—1182no—
1513C22⋊C4—1182no—
1514C22⋊C4—1182no—
1515C22⋊C4—1182no—
1516C22⋊C4—1182no—
1517C22⋊C4—1182no—
1518C22⋊C4—1182no—
1519C22⋊C4—1182no—
1520C22⋊C4—1182no—
1521C22⋊C4—1182no—
1522C22⋊C4—1182no—
1523C22⋊C4—1182no—
1524C22⋊C4—1182no—
1525C22⋊C4—1182no—
1526C22⋊C4—1182no—
1527C22⋊C4—1182no—
1528C22⋊C4—1182no—
1529C22⋊C4—1182no—
1530C22⋊C4—1182no—
1531C22⋊C4—2361no—
1532C22⋊C4—2361no—
1533C22⋊C4—2361no—
1534C22⋊C4—2361no—
1535C22⋊C4—2361no—
1536C22⋊C4—2361no—
1537C22⋊C4—2361no—
1538C22⋊C4—2361no—
1539C22⋊C4—2361no—
1540C22⋊C4—2361no—
1541C22⋊C4—2361no—
1542C22⋊C4—2361no—
1543C22⋊C4—2361no—
1544C22⋊C4—2361no—
1545C22⋊C4—2361no—
1546C22⋊C4—2361no—
1547C22⋊C4—2361no—
1548C22⋊C4—2361no—
1549C22⋊C4C2×C22⋊D5914yes—
1550C22⋊C4C2×C22⋊D5914yescomplemented
1551C42—22no—
1552C42—1182no—
1553C42—1182no—
1554C42—1182no—
1555C42—1182no—
1556C42—1182no—
1557C42—1182no—
1558C42—1182no—
1559C42—1182no—
1560C42—2361no—
1561C42—2361no—
1562C42—2361no—
1563C42—2361no—
1564C42—2361no—
1565C42C2×C22⋊D5914yescomplemented
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—44no—
1598C23—44no—
1599C23—44no—
1600C23—82no—
1601C23—82no—
1602C23—82no—
1603C23—82no—
1604C23—1181no—
1605C23—1181no—
1606C23—1181no—
1607C23—1181no—
1608C23—1181no—
1609C23—1181no—
1610C23—1181no—
1611C23—1181no—
1612C23—1181no—
1613C23—1181no—
1614C23—1181no—
1615C23—1181no—
1616C23—1181no—
1617C23—1181no—
1618C23—1181no—
1619C23—1181no—
1620C23—1181no—
1621C23—1181no—
1622C23—1181no—
1623C23—1181no—
1624C23—1181no—
1625C23—4722no—
1626C23—4722no—
1627C23—4722no—
1628C23—4722no—
1629C23—2364no—
1630C23—2364no—
1631C23—2364no—
1632C23C22×C22⋊D5912yes—
1633C23C22×C22⋊D5912yes—
1634C23#41×D5912yes—
1635C23#41×D5912yes—
1636C23C24×D5911yescharacteristic
1637Q8—82no—
1638Q8—4722no—
1639D4—28no—
1640D4—44no—
1641D4—82no—
1642D4—82no—
1643D4—82no—
1644D4—82no—
1645D4—82no—
1646D4—4722no—
1647D4—4722no—
1648D4—4722no—
1649D4—4722no—
1650D4—4722no—
1651D4—4722no—
1652D4—4722no—
1653D4—4722no—
1654D4—4722no—
1655D4—2364no—
1656D4—2364no—
1657D4—2364no—
1658D4—2364no—
1659D4—2364no—
1660D4—2364no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—44no—
1687C2×C4—44no—
1688C2×C4—82no—
1689C2×C4—82no—
1690C2×C4—592no—
1691C2×C4—592no—
1692C2×C4—592no—
1693C2×C4—592no—
1694C2×C4—592no—
1695C2×C4—592no—
1696C2×C4—592no—
1697C2×C4—1188no—
1698C2×C4—1181no—
1699C2×C4—1181no—
1700C2×C4—1181no—
1701C2×C4—1181no—
1702C2×C4—1181no—
1703C2×C4—1181no—
1704C2×C4—1181no—
1705C2×C4—1181no—
1706C2×C4—1181no—
1707C2×C4—1181no—
1708C2×C4—1181no—
1709C2×C4—1181no—
1710C2×C4—1181no—
1711C2×C4—1181no—
1712C2×C4—1181no—
1713C2×C4—1181no—
1714C2×C4—1181no—
1715C2×C4—1181no—
1716C2×C4—1181no—
1717C2×C4—1181no—
1718C2×C4—1181no—
1719C2×C4—1181no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—1181no—
1723C2×C4—1181no—
1724C2×C4—1181no—
1725C2×C4—1181no—
1726C2×C4—1181no—
1727C2×C4—1181no—
1728C2×C4—1181no—
1729C2×C4—1181no—
1730C2×C4—4722no—
1731C2×C4—4722no—
1732C2×C4—2364no—
1733C2×C4—2364no—
1734C2×C4—2364no—
1735C2×C4C22×C22⋊D5912yes—
1736C2×C4C22×C22⋊D5912yes—
1737C2×C4C22×C22⋊D5912yes—
1738C2×C4C22×C22⋊D5912yes—
1739C2×C4C22×C22⋊D5912yes—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—22no—
1744C22—22no—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—22no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—88no—
1775C22—4728no—
1776C22—2361no—
1777C22—2361no—
1778C22—2361no—
1779C22—2361no—
1780C22—2361no—
1781C22—2361no—
1782C22—2361no—
1783C22—2361no—
1784C22—2361no—
1785C22—2361no—
1786C22—2361no—
1787C22—2361no—
1788C22—2361no—
1789C22—2361no—
1790C22—2361no—
1791C22—2361no—
1792C22—2361no—
1793C22—2361no—
1794C22—2361no—
1795C22—2361no—
1796C22—2361no—
1797C22#1683794814yes—
1798C22C23×C22⋊D5911yescharacteristic
1799C22C2×#41×D5911yescharacteristic
1800C22C2×#41×D5911yescharacteristic
1801C22H(5,𝔽2)×D5911yescharacteristic
1802C22H(5,𝔽2)×D5911yescharacteristic
1803C22H(5,𝔽2)×D5911yescharacteristic
1804C22#1683823711yescharacteristic
1805C4—22no—
1806C4—22no—
1807C4—22no—
1808C4—22no—
1809C4—22no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—594no—
1816C4—1182no—
1817C4—1182no—
1818C4—1182no—
1819C4—1182no—
1820C4—2361no—
1821C4—2361no—
1822C4—2361no—
1823C4—2361no—
1824C4—2361no—
1825C4—2361no—
1826C4—2361no—
1827C4—2361no—
1828C2—24no—
1829C2—42no—
1830C2—81no—
1831C2—81no—
1832C2—81no—
1833C2—4721no—
1834C2—4721no—
1835C2—4721no—
1836C2C2×#1683794811yescharacteristic
1837C2#538×D5911yescharacteristic
1838C2#2143751511yescharacteristic
1839C2#2143785511yescharacteristic
1840C2#2143787011yescharacteristic
1841C2#2143804911yescharacteristic
1842C2#2143812011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC2×C59×#538C2
hypercenterC2×#538D59
hypocenterC59#35007
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. C2×#16837985C2semidirect
2. #21432461C2semidirect
3. #21432451C2semidirect
4. #21432439C2semidirect
5. #21432425C2semidirect
6. #21430236C2semidirect
7. #21430235C2semidirect
8. #21430225C2semidirect
9. #21430224C2semidirect
10. #21429169C2semidirect
11. #21429167C2semidirect
12. #21429154C2semidirect
13. #21429152C2semidirect
14. #21428681C2semidirect
15. #21428456C2semidirect
16. #21428229C2semidirect
17. #21428221C2semidirect
18. #21427860C2semidirect
19. #21427795C2semidirect
20. #21427731C2semidirect
21. #21427681C2semidirect
22. #21427638C2semidirect
23. #21427636C2semidirect
24. #21427533C2semidirect
25. #21427449C2semidirect
26. #21426754C2semidirect
27. #21426750C2semidirect
28. C4×#14273699C2semidirect
29. C2×#16837302C2semidirect
30. C4×D4×Dic59C2semidirect
31. C2×C59×#538C2semidirect
34. C2×#14273725C22semidirect
37. C2×#14273722C22semidirect
38. C2×#14273721C22semidirect
39. C2×#14273716C22semidirect
40. C2×#14273715C22semidirect
41. C2×#14273714C22semidirect
42. C2×#14273713C22semidirect
43. C2×#14273712C22semidirect
44. C2×#14273710C22semidirect
46. C2×#14273701C22semidirect
47. C2×#14273700C22semidirect
52. C2×#14273699C22semidirect
53. C2×#14273699C22semidirect
54. C2×#14273699C22semidirect
62. C2×C4×C22⋊D59C22semidirect
68. C22×C4×Dic59C22semidirect
69. #16837333C22semidirect
70. #16837332C22semidirect
71. #16837328C22semidirect
72. #16837327C22semidirect
73. #16837325C22semidirect
74. #16837325C22semidirect
75. #16837324C22semidirect
76. #16837324C22semidirect
77. #16837322C22semidirect
78. #16837321C22semidirect
79. #16837319C22semidirect
80. #16837319C22semidirect
83. #16837318C22semidirect
84. #16837318C22semidirect
85. #16837317C22semidirect
86. #16837317C22semidirect
87. #16837316C22semidirect
88. #16837316C22semidirect
89. #16837316C22semidirect
90. #16837316C22semidirect
91. #16837314C22semidirect
92. #16837313C22semidirect
99. #16837310C22semidirect
100. #16837310C22semidirect
101. #16837305C22semidirect
102. #16837303C22semidirect
115. #16837302C22semidirect
116. #16837302C22semidirect
117. #16837302C22semidirect
118. #16837302C22semidirect
119. #16837302C22semidirect
120. #16837302C22semidirect
121. #16837302C22semidirect
122. #16837302C22semidirect
123. #16837297C22semidirect
124. #16837297C22semidirect
125. #16837297C22semidirect
126. #16837297C22semidirect
127. #16837296C22semidirect
128. #16837296C22semidirect
129. #16837296C22semidirect
130. #16837296C22semidirect
131. #16837296C22semidirect
132. #16837296C22semidirect
133. #16837293C22semidirect
134. #16837293C22semidirect
135. #16837292C22semidirect
136. #16837292C22semidirect
137. #16837292C22semidirect
138. #16837292C22semidirect
139. #16837292C22semidirect
140. #16837292C22semidirect
141. #16837290C22semidirect
142. #16837290C22semidirect
145. #16837282C22semidirect
147. #16837281C22semidirect
148. #16837281C22semidirect
150. #16837279C22semidirect
151. #16837278C22semidirect
152. #16837278C22semidirect
155. #16837271C22semidirect
157. #16837260C22semidirect
160. C4⋊C4×Dic59C22semidirect
161. C4⋊C4×Dic59C22semidirect
162. C4×Dic59⋊C4C22semidirect
163. C4×C4⋊Dic59C22semidirect
166. C22⋊C4×Dic59C22semidirect
167. C22⋊C4×Dic59C22semidirect
168. C4×(C2×D59)⋊C4C22semidirect
170. C4×C22⋊Dic59C22semidirect
171. C4×C22⋊Dic59C22semidirect
172. C42×Dic59C22semidirect
174. C2×#126×C59C22semidirect
175. C2×#126×C59C22semidirect
176. C2×#124×C59C22semidirect
177. C2×#124×C59C22semidirect
178. C2×#123×C59C22semidirect
179. C2×#123×C59C22semidirect
182. C2×#121×C59C22semidirect
183. C2×#121×C59C22semidirect
373. C4×D4×C59D4semidirect
454. C22×C4×C59C2×D4semidirect
550. C4⋊C4×C59C2×D4semidirect
564. C22⋊C4×C59C2×D4semidirect
566. C42×C59C2×D4semidirect
906. Dic59#538semidirect
908. C2×#538D59semidirect
961. C2×#126C2×D59semidirect
962. C2×#126C2×D59semidirect
967. C2×#124C2×D59semidirect
968. C2×#124C2×D59semidirect
971. C2×#123C2×D59semidirect
972. C2×#123C2×D59semidirect
985. C2×#121C2×D59semidirect
986. C2×#121C2×D59semidirect
1110. C59#35007semidirect
1192. C4×D4C22⋊D59semidirect
1456. C22×C4C2×C22⋊D59semidirect
1490. C4⋊C4C2×C22⋊D59semidirect
1550. C22⋊C4C2×C22⋊D59semidirect
1565. C42C2×C22⋊D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168379852
#214324612
#214324512
#214324392
#214324252
#214302362
#214302352
#214302252
#214302242
#214291692
#214291672
#214291542
#214291522
#214286812
#214284562
#214282292
#214282212
#214278602
#214277952
#214277312
#214276812
#214276382
#214276362
#214275332
#214274492
#214267542
#214267502
C4×#142736992
C2×#168373022
C4×D4×Dic592
C2×C59×#5382
#3500759