Finite Group Databasebeta

← #28761358

Subgroups — #28761358

Order 15104.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837985C211yesmaximal, characteristic, complemented
2#21432411C211yesmaximal, characteristic, complemented
3#21432397C211yesmaximal, characteristic, complemented
4#21432388C211yesmaximal, characteristic, complemented
5#21432378C211yesmaximal, characteristic, complemented
6#21429991C211yesmaximal, characteristic, complemented
7#21429980C211yesmaximal, characteristic, complemented
8#21429948C211yesmaximal, characteristic, complemented
9#21429933C211yesmaximal, characteristic, complemented
10#21428351C211yesmaximal, characteristic, complemented
11#21428216C211yesmaximal, characteristic, complemented
12#21428141C211yesmaximal, characteristic, complemented
13#21428027C211yesmaximal, characteristic, complemented
14#21427988C211yesmaximal, characteristic, complemented
15#21427982C211yesmaximal, characteristic, complemented
16#21427914C211yesmaximal, characteristic, complemented
17#21427840C211yesmaximal, characteristic, complemented
18#21427831C211yesmaximal, characteristic, complemented
19#21427757C211yesmaximal, characteristic, complemented
20#21427632C211yesmaximal, characteristic, complemented
21#21427626C211yesmaximal, characteristic, complemented
22#21427552C211yesmaximal, characteristic, complemented
23#21427470C211yesmaximal, characteristic, complemented
24#21427464C211yesmaximal, characteristic, complemented
25#21427406C211yesmaximal, characteristic, complemented
26#21426794C211yesmaximal, characteristic, complemented
27#21426750C211yesmaximal, characteristic, complemented
28#21426729C211yesmaximal, characteristic, complemented
29C4×#14273696C211yesmaximal, characteristic, complemented
30C2×#16837281C211yesmaximal, characteristic, complemented
31C22×C4×D4×C59C211yesmaximal, characteristic, complemented
32C23×C22⋊D59C2211yescharacteristic
33#16837985—28no—
34C2×#14273722C2211yescharacteristic, complemented
35C2×#14273721C2211yescharacteristic, complemented
36C2×#14273715C2211yescharacteristic, complemented
37C2×#14273713C2211yescharacteristic, complemented
38C2×#14273712C2211yescharacteristic, complemented
39C2×#14273710C2211yescharacteristic, complemented
40C2×#14273710C2211yescharacteristic, complemented
41C2×#14273706C2211yescharacteristic, complemented
42C2×#14273704C2211yescharacteristic, complemented
43C2×#14273701C2211yescharacteristic
44C2×#14273701C2211yescharacteristic
45C2×#14273701C2211yescharacteristic, complemented
46C2×#14273701C2211yescharacteristic, complemented
47C2×#14273700C2211yescharacteristic, complemented
48C2×#14273699C2211yescharacteristic
49C2×#14273699C2211yescharacteristic
50C2×#14273697C2211yescharacteristic, complemented
51C2×#14273696C2211yescharacteristic
52C2×#14273696C2211yescharacteristic
53C2×#14273696C2211yescharacteristic
54C2×#14273696C2211yescharacteristic, complemented
55C2×#14273695C2211yescharacteristic
56C2×#14273695C2211yescharacteristic
57C2×C4×C22⋊D59C2211yescharacteristic, complemented
58C2×C4×C22⋊D59C2211yescharacteristic, complemented
59C2×C4×C22⋊D59C2211yescharacteristic, complemented
60C22×C22⋊Dic59C2211yescharacteristic
61C22×(C2×D59)⋊C4C2211yescharacteristic, complemented
62C22×(C2×D59)⋊C4C2211yescharacteristic, complemented
63#16837341C2211yescharacteristic, complemented
64#16837340C2211yescharacteristic, complemented
65#16837338C2211yescharacteristic, complemented
66#16837337C2211yescharacteristic, complemented
67#16837335C2211yescharacteristic, complemented
68#16837330C2211yescharacteristic, complemented
69#16837328C2211yescharacteristic, complemented
70#16837328C2211yescharacteristic, complemented
71#16837325C2211yescharacteristic, complemented
72#16837325C2211yescharacteristic, complemented
73#16837325C2211yescharacteristic, complemented
74#16837324C2211yescharacteristic, complemented
75#16837319C2211yescharacteristic, complemented
76#16837318C2211yescharacteristic, complemented
77#16837318C2211yescharacteristic, complemented
78#16837318C2211yescharacteristic, complemented
79#16837317C2211yescharacteristic, complemented
80#16837317C2211yescharacteristic, complemented
81#16837317C2211yescharacteristic, complemented
82#16837316C2211yescharacteristic, complemented
83#16837316C2211yescharacteristic, complemented
84#16837314C2211yescharacteristic, complemented
85#16837314C2211yescharacteristic, complemented
86#16837311C2211yescharacteristic, complemented
87#16837311C2211yescharacteristic, complemented
88#16837311C2211yescharacteristic, complemented
89#16837310C2211yescharacteristic
90#16837310C2211yescharacteristic
91#16837310C2211yescharacteristic
92#16837310C2211yescharacteristic
93#16837310C2211yescharacteristic, complemented
94#16837310C2211yescharacteristic, complemented
95#16837308C2211yescharacteristic, complemented
96#16837304C2211yescharacteristic, complemented
97#16837302C2211yescharacteristic, complemented
98#16837302C2211yescharacteristic, complemented
99#16837295C2211yescharacteristic, complemented
100#16837295C2211yescharacteristic, complemented
101#16837293C2211yescharacteristic, complemented
102#16837293C2211yescharacteristic, complemented
103#16837293C2211yescharacteristic, complemented
104#16837293C2211yescharacteristic, complemented
105#16837293C2211yescharacteristic, complemented
106#16837293C2211yescharacteristic, complemented
107#16837293C2211yescharacteristic, complemented
108#16837292C2211yescharacteristic, complemented
109#16837292C2211yescharacteristic, complemented
110#16837290C2211yescharacteristic, complemented
111#16837288C2211yescharacteristic, complemented
112#16837288C2211yescharacteristic, complemented
113#16837286C2211yescharacteristic, complemented
114#16837286C2211yescharacteristic, complemented
115#16837286C2211yescharacteristic, complemented
116#16837283C2211yescharacteristic, complemented
117#16837282C2211yescharacteristic
118#16837282C2211yescharacteristic
119#16837282C2211yescharacteristic
120#16837282C2211yescharacteristic
121#16837281C2211yescharacteristic
122#16837281C2211yescharacteristic
123#16837281C2211yescharacteristic
124#16837281C2211yescharacteristic
125#16837281C2211yescharacteristic
126#16837281C2211yescharacteristic
127#16837281C2211yescharacteristic
128#16837281C2211yescharacteristic
129#16837281C2211yescharacteristic, complemented
130#16837281C2211yescharacteristic, complemented
131#16837281C2211yescharacteristic, complemented
132#16837281C2211yescharacteristic, complemented
133#16837281C2211yescharacteristic, complemented
134#16837281C2211yescharacteristic, complemented
135#16837281C2211yescharacteristic, complemented
136#16837281C2211yescharacteristic, complemented
137#16837281C2211yescharacteristic, complemented
138#16837281C2211yescharacteristic, complemented
139#16837281C2211yescharacteristic, complemented
140#16837281C2211yescharacteristic, complemented
141#16837281C2211yescharacteristic, complemented
142#16837281C2211yescharacteristic, complemented
143#16837279C2211yescharacteristic, complemented
144#16837278C2211yescharacteristic, complemented
145#16837277C2211yescharacteristic, complemented
146#16837277C2211yescharacteristic, complemented
147#16837275C2211yescharacteristic, complemented
148#16837275C2211yescharacteristic, complemented
149#16837275C2211yescharacteristic, complemented
150#16837275C2211yescharacteristic, complemented
151#16837275C2211yescharacteristic, complemented
152#16837275C2211yescharacteristic, complemented
153#16837275C2211yescharacteristic, complemented
154#16837275C2211yescharacteristic, complemented
155#16837274C2211yescharacteristic, complemented
156#16837273C2211yescharacteristic, complemented
157#16837270C2211yescharacteristic, complemented
158#16837268C2211yescharacteristic, complemented
159#16837265C2211yescharacteristic, complemented
160#16837265C2211yescharacteristic, complemented
161#16837262C2211yescharacteristic, complemented
162#16837262C2211yescharacteristic, complemented
163#16837262C2211yescharacteristic, complemented
164#16837260C2211yescharacteristic, complemented
165#16837258C2211yescharacteristic
166#16837258C2211yescharacteristic, complemented
167#16837257C2211yescharacteristic, complemented
168C4×C22⋊Dic59C2211yescharacteristic, complemented
169C4×C22⋊Dic59C2211yescharacteristic, complemented
170C4×C22⋊Dic59C2211yescharacteristic, complemented
171C2×C59⋊#95C2211yescharacteristic, complemented
172C2×C59⋊#95C2211yescharacteristic, complemented
173C23×D4×C59C2211yescharacteristic
174C24×C4×C59C2211yescharacteristic
175C24×C4×C59C2211yescharacteristic, complemented
176C2×C4×D4×C59—28no—
177C2×C4×D4×C59C2211yescharacteristic
178C2×C4×D4×C59C2211yescharacteristic
179C2×C4×D4×C59C2211yescharacteristic
180C2×C4×D4×C59C2211yescharacteristic
181C2×C4×D4×C59C2211yescharacteristic, complemented
182C2×C4×D4×C59C2211yescharacteristic, complemented
183C2×C4×D4×C59C2211yescharacteristic, complemented
184C2×C4×D4×C59C2211yescharacteristic, complemented
185C22×C4⋊C4×C59C2211yescharacteristic, complemented
186C22×C22⋊C4×C59C2211yescharacteristic
187C22×C22⋊C4×C59C2211yescharacteristic, complemented
188C22×C42×C59C2211yescharacteristic, complemented
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
212C22×C4×D59C2311yescharacteristic
213#14273722—24no—
214#14273721—24no—
215#14273715—24no—
216#14273713—24no—
217#14273712—24no—
218#14273710—24no—
219#14273710—42no—
220#14273706—42no—
221#14273704—24no—
222#14273701—24no—
223#14273701—42no—
224#14273701—42no—
225#14273701—42no—
226#14273700—24no—
227#14273699—24no—
228#14273699—24no—
229#14273697—24no—
230#14273696—24no—
231#14273696—42no—
232#14273696—42no—
233#14273696—42no—
234#14273695—24no—
235#14273695—24no—
236C4×C22⋊D59—24no—
237C4×C22⋊D59—42no—
238C4×C22⋊D59—42no—
239C2×C4⋊Dic59C2311yescharacteristic
240C2×C4⋊Dic59C2311yescharacteristic
241C2×C4⋊Dic59C2311yescharacteristic
242C2×C4⋊Dic59C2311yescharacteristic
243C2×C4⋊Dic59C2311yescharacteristic
244C2×Dic59⋊C4C2311yescharacteristic
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×C22⋊Dic59—42no—
256C2×C22⋊Dic59C2311yescharacteristic
257C2×C22⋊Dic59C2311yescharacteristic
258C2×C22⋊Dic59C2311yescharacteristic
259C2×C22⋊Dic59C2311yescharacteristic
260C2×C22⋊Dic59C2311yescharacteristic
261C2×C22⋊Dic59C2311yescharacteristic
262C2×C22⋊Dic59C2311yescharacteristic
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×(C2×D59)⋊C4—24no—
280C2×(C2×D59)⋊C4—42no—
281C2×(C2×D59)⋊C4C2311yescharacteristic
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×(C2×D59)⋊C4C2311yescharacteristic
284C2×(C2×D59)⋊C4C2311yescharacteristic
285C2×(C2×D59)⋊C4C2311yescharacteristic
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C2×(C2×D59)⋊C4C2311yescharacteristic
288C2×(C2×D59)⋊C4C2311yescharacteristic
289C2×(C2×D59)⋊C4C2311yescharacteristic
290C2×(C2×D59)⋊C4C2311yescharacteristic
291C2×(C2×D59)⋊C4C2311yescharacteristic
292C2×(C2×D59)⋊C4C2311yescharacteristic
293C2×(C2×D59)⋊C4C2311yescharacteristic
294C2×(C2×D59)⋊C4C2311yescharacteristic
295C2×(C2×D59)⋊C4C2311yescharacteristic
296C2×(C2×D59)⋊C4C2311yescharacteristic
297C2×(C2×D59)⋊C4C2311yescharacteristic
298C2×(C2×D59)⋊C4C2311yescharacteristic
299C2×(C2×D59)⋊C4C2311yescharacteristic
300C2×(C2×D59)⋊C4C2311yescharacteristic
301C2×(C2×D59)⋊C4C2311yescharacteristic
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C2×(C2×D59)⋊C4C2311yescharacteristic
304C2×(C2×D59)⋊C4C2311yescharacteristic
305C2×(C2×D59)⋊C4C2311yescharacteristic
306C2×C4×Dic59C2311yescharacteristic
307C2×C4×Dic59C2311yescharacteristic
308C2×C4×Dic59C2311yescharacteristic
309C59⋊#95C2311yescharacteristic
310C59⋊#95C2311yescharacteristic
311C59⋊#95C2311yescharacteristic
312C59⋊#95C2311yescharacteristic
313C59⋊#95C2311yescharacteristic
314C59⋊#95C2311yescharacteristic
315C59⋊#95C2311yescharacteristic
316C59⋊#95C2311yescharacteristic
317C59⋊#95C2311yescharacteristic
318C59⋊#95C2311yescharacteristic
319C59⋊#95C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
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
341C25×C59C2311yescharacteristic
342C25×C59C2311yescharacteristic
343C22×D4×C59—24no—
344C22×D4×C59—24no—
345C22×D4×C59—24no—
346C22×D4×C59C2311yescharacteristic
347C22×D4×C59C2311yescharacteristic
348C22×D4×C59C2311yescharacteristic
349C22×D4×C59C2311yescharacteristic
350C23×C4×C59—24no—
351C23×C4×C59—24no—
352C23×C4×C59—42no—
353C23×C4×C59—42no—
354C23×C4×C59—42no—
355C23×C4×C59—42no—
356C23×C4×C59C2311yescharacteristic
357C23×C4×C59C2311yescharacteristic
358C23×C4×C59C2311yescharacteristic
359C23×C4×C59C2311yescharacteristic
360C23×C4×C59C2311yescharacteristic
361C23×C4×C59C2311yescharacteristic
362C23×C4×C59C2311yescharacteristic
363C23×C4×C59C2311yescharacteristic
364C23×C4×C59C2311yescharacteristic
365C23×C4×C59C2311yescharacteristic
366C23×C4×C59C2311yescharacteristic
367C23×C4×C59C2311yescharacteristic
368C23×C4×C59C2311yescharacteristic
369C4×D4×C59—24no—
370C4×D4×C59—24no—
371C4×D4×C59—24no—
372C4×D4×C59—24no—
373C4×D4×C59—24no—
374C4×D4×C59—24no—
375C4×D4×C59—24no—
376C4×D4×C59D418yescomplemented
377C2×C4⋊C4×C59—24no—
378C2×C4⋊C4×C59C2311yescharacteristic
379C2×C4⋊C4×C59C2311yescharacteristic
380C2×C4⋊C4×C59C2311yescharacteristic
381C2×C4⋊C4×C59C2311yescharacteristic
382C2×C22⋊C4×C59—24no—
383C2×C22⋊C4×C59—24no—
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×C42×C59—24no—
393C2×C42×C59C2311yescharacteristic
394C2×C42×C59C2311yescharacteristic
395C2×C42×C59C2311yescharacteristic
396C2×C42×C59C2311yescharacteristic
397C24×C59—22no—
398C24×C59—22no—
399C24×C59—22no—
400C24×C59—22no—
401C24×C59—22no—
402C24×C59—22no—
403C24×C59—22no—
404C24×C59—22no—
405C24×C59—22no—
406C24×C59—41no—
407C24×C59—41no—
408C24×C59—41no—
409C24×C59—41no—
410C24×C59#4114yes—
411C24×C59C2411yescharacteristic
412C24×C59C2411yescharacteristic
413C24×C59C2411yescharacteristic
414C24×C59C2411yescharacteristic
415C24×C59C2411yescharacteristic
416C23×D59—22no—
417C23×D59—22no—
418C23×D59—22no—
419C23×D59—41no—
420C23×D59—41no—
421C23×D59—41no—
422C23×D59—41no—
423C23×D59C2411yescharacteristic
424C23×D59C2411yescharacteristic
425C23×D59C2411yescharacteristic
426C2×D4×C59—232no—
427C2×D4×C59—22no—
428C2×D4×C59—22no—
429C2×D4×C59—22no—
430C2×D4×C59—22no—
431C2×D4×C59—22no—
432C2×D4×C59—22no—
433C2×D4×C59—22no—
434C2×D4×C59—22no—
435C2×D4×C59—22no—
436C2×D4×C59—22no—
437C2×D4×C59C2×D414yes—
438C2×D4×C59#4114yes—
439C22×C4×C59—22no—
440C22×C4×C59—22no—
441C22×C4×C59—22no—
442C22×C4×C59—22no—
443C22×C4×C59—22no—
444C22×C4×C59—22no—
445C22×C4×C59—22no—
446C22×C4×C59—22no—
447C22×C4×C59—22no—
448C22×C4×C59—22no—
449C22×C4×C59—22no—
450C22×C4×C59—22no—
451C22×C4×C59—22no—
452C22×C4×C59—22no—
453C22×C4×C59—22no—
454C22×C4×C59—22no—
455C22×C4×C59—22no—
456C22×C4×C59—22no—
457C22×C4×C59—22no—
458C22×C4×C59—22no—
459C22×C4×C59—22no—
460C22×C4×C59—22no—
461C22×C4×C59—41no—
462C22×C4×C59—41no—
463C22×C4×C59—41no—
464C22×C4×C59—41no—
465C22×C4×C59—41no—
466C22×C4×C59—41no—
467C22×C4×C59—41no—
468C22×C4×C59—41no—
469C22×C4×C59—41no—
470C22×C4×C59—41no—
471C22×C4×C59—41no—
472C22×C4×C59—41no—
473C22×C4×C59—41no—
474C22×C4×C59—41no—
475C22×C4×C59—41no—
476C22×C4×C59—416no—
477C22×C4×C59—416no—
478C22×C4×C59C2×D414yes—
479C22×C4×C59C2×D414yescomplemented
480C22×C4×C59C2411yescharacteristic
481C22×C4×C59C2411yescharacteristic
482C22×C4×C59C2411yescharacteristic
483C22×C4×C59C2411yescharacteristic
484C22×C4×C59C2411yescharacteristic
485C22×C4×C59C2411yescharacteristic
486C22×C4×C59C2411yescharacteristic
487C22×C4×C59C2411yescharacteristic
488C22×C4×C59C2411yescharacteristic
489C22×C4×C59C2411yescharacteristic
490C2×C22⋊D59—22no—
491C2×C22⋊D59—22no—
492C2×C22⋊D59—22no—
493C2×C22⋊D59—22no—
494C2×C22⋊D59—22no—
495C2×C22⋊D59—22no—
496C2×C22⋊D59—22no—
497C2×C22⋊D59—22no—
498C2×C22⋊D59—22no—
499C2×C22⋊D59—22no—
500C2×C22⋊D59—22no—
501C2×C22⋊D59—22no—
502C2×C22⋊D59—22no—
503C2×C22⋊D59—22no—
504C2×C22⋊D59—22no—
505C2×C22⋊D59—22no—
506C2×C22⋊D59—22no—
507C2×C22⋊D59—22no—
508C2×C22⋊D59—22no—
509C2×C22⋊D59—22no—
510C2×C22⋊D59—22no—
511C2×C22⋊D59—41no—
512C2×C22⋊D59—41no—
513C2×C22⋊D59—41no—
514C2×C22⋊D59—41no—
515C2×C22⋊D59—41no—
516C2×C22⋊D59—41no—
517C2×C22⋊D59—41no—
518C2×C22⋊D59—41no—
519C2×C22⋊D59—41no—
520C2×C22⋊D59—41no—
521C2×C22⋊D59—41no—
522C2×C22⋊D59—41no—
523C2×C22⋊D59—41no—
524C2×C22⋊D59—41no—
525C2×C22⋊D59—41no—
526C2×C22⋊D59—41no—
527C2×C22⋊D59—41no—
528C2×C22⋊D59—41no—
529C2×C22⋊D59—416no—
530C22×Dic59—22no—
531C22×Dic59—22no—
532C22×Dic59—22no—
533C22×Dic59—41no—
534C22×Dic59—41no—
535C22×Dic59—41no—
536C22×Dic59—41no—
537C22×Dic59—41no—
538C22×Dic59—41no—
539C22×Dic59C2411yescharacteristic
540C22×Dic59C2411yescharacteristic
541C22×Dic59C2411yescharacteristic
542C22×Dic59C2411yescharacteristic
543C22×Dic59C2411yescharacteristic
544C22×Dic59C2411yescharacteristic
545C22×Dic59C2411yescharacteristic
546C22×Dic59C2411yescharacteristic
547C22×Dic59C2411yescharacteristic
548C22×Dic59C2411yescharacteristic
549C22×Dic59C2411yescharacteristic
550C22×Dic59C2411yescharacteristic
551C22×Dic59C2411yescharacteristic
552C2×D236—22no—
553C2×D236—22no—
554C2×D236—41no—
555C2×D236—41no—
556C2×D236—41no—
557C2×D236—41no—
558C2×C4×D59—22no—
559C2×C4×D59—41no—
560C2×C4×D59—41no—
561C2×Dic118—22no—
562C2×Dic118—41no—
563C2×Dic118—41no—
564C4⋊C4×C59—22no—
565C4⋊C4×C59—22no—
566C4⋊C4×C59—22no—
567C4⋊C4×C59C2×D414yescomplemented
568C22⋊C4×C59—22no—
569C22⋊C4×C59—22no—
570C22⋊C4×C59—22no—
571C22⋊C4×C59—22no—
572C22⋊C4×C59—22no—
573C22⋊C4×C59—22no—
574C22⋊C4×C59C2×D414yes—
575C22⋊C4×C59C2×D414yescomplemented
576C42×C59—22no—
577C42×C59—22no—
578C42×C59—22no—
579C42×C59C2×D414yescomplemented
580C22⋊Dic59—22no—
581C22⋊Dic59—22no—
582C22⋊Dic59—22no—
583C22⋊Dic59—22no—
584C22⋊Dic59—22no—
585C22⋊Dic59—22no—
586C22⋊Dic59—22no—
587C22⋊Dic59—22no—
588C22⋊Dic59—22no—
589C22⋊Dic59—22no—
590C22⋊Dic59—22no—
591C22⋊Dic59—41no—
592C22⋊Dic59—41no—
593C22⋊Dic59—41no—
594C22⋊Dic59—41no—
595C22⋊Dic59—41no—
596C22⋊Dic59—41no—
597C22⋊Dic59—41no—
598C22⋊Dic59—41no—
599C22⋊Dic59—41no—
600C22⋊Dic59—41no—
601C22⋊Dic59—41no—
602C22⋊Dic59—41no—
603(C2×D59)⋊C4—22no—
604(C2×D59)⋊C4—22no—
605(C2×D59)⋊C4—22no—
606(C2×D59)⋊C4—22no—
607(C2×D59)⋊C4—22no—
608(C2×D59)⋊C4—22no—
609(C2×D59)⋊C4—22no—
610(C2×D59)⋊C4—22no—
611(C2×D59)⋊C4—22no—
612(C2×D59)⋊C4—22no—
613(C2×D59)⋊C4—22no—
614(C2×D59)⋊C4—22no—
615(C2×D59)⋊C4—22no—
616(C2×D59)⋊C4—22no—
617(C2×D59)⋊C4—22no—
618(C2×D59)⋊C4—22no—
619(C2×D59)⋊C4—41no—
620(C2×D59)⋊C4—41no—
621(C2×D59)⋊C4—41no—
622(C2×D59)⋊C4—41no—
623(C2×D59)⋊C4—41no—
624(C2×D59)⋊C4—41no—
625(C2×D59)⋊C4—41no—
626(C2×D59)⋊C4—41no—
627(C2×D59)⋊C4—41no—
628C4⋊Dic59—22no—
629C4⋊Dic59—41no—
630C4⋊Dic59—41no—
631C4⋊Dic59—41no—
632C4⋊Dic59—41no—
633Dic59⋊C4—22no—
634Dic59⋊C4—22no—
635Dic59⋊C4—22no—
636Dic59⋊C4—22no—
637Dic59⋊C4—22no—
638Dic59⋊C4—22no—
639Dic59⋊C4—41no—
640Dic59⋊C4—41no—
641Dic59⋊C4—41no—
642Dic59⋊C4—41no—
643Dic59⋊C4—41no—
644C4×Dic59—22no—
645C4×Dic59—41no—
646C4×Dic59—41no—
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—28no—
656C23×C59—28no—
657C23×C59—28no—
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—21no—
676C23×C59—44no—
677C23×C59—44no—
678C23×C59—44no—
679C23×C59—44no—
680C23×C59—44no—
681C23×C59—44no—
682C23×C59—44no—
683C23×C59—44no—
684C23×C59—44no—
685C23×C59—44no—
686C23×C59—44no—
687C23×C59C22×D412yes—
688C23×C59C22×D412yes—
689C23×C59C2×#4112yes—
690C23×C59C2×#4112yes—
691C23×C59C2×#4112yes—
692C23×C59C2×#4112yes—
693C23×C59C2×#4112yes—
694C23×C59H(5,𝔽2)12yes—
695C23×C59H(5,𝔽2)12yes—
696C23×C59C2511yescharacteristic
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—21no—
709C22×D59—21no—
710C22×D59—21no—
711C22×D59—21no—
712C22×D59—21no—
713C22×D59—21no—
714C22×D59—21no—
715C22×D59—21no—
716C22×D59—21no—
717C22×D59—21no—
718C22×D59—44no—
719C22×D59—44no—
720C22×D59—44no—
721C22×D59—82no—
722C22×D59—82no—
723C22×D59—82no—
724C22×D59—82no—
725D4×C59—28no—
726D4×C59—28no—
727D4×C59—28no—
728D4×C59—28no—
729C2×C4×C59—28no—
730C2×C4×C59—28no—
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—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—44no—
755C2×C4×C59—44no—
756C2×C4×C59—44no—
757C2×C4×C59—44no—
758C2×C4×C59—44no—
759C2×C4×C59—44no—
760C2×C4×C59—44no—
761C2×C4×C59—44no—
762C2×C4×C59—44no—
763C2×C4×C59—44no—
764C2×C4×C59—44no—
765C2×C4×C59C22×D412yes—
766C2×C4×C59C22×D412yes—
767C2×C4×C59C22×D412yes—
768C2×C4×C59C22×D412yes—
769C2×C4×C59C22×D412yes—
770C2×C4×C59C2×#4112yes—
771C2×C4×C59H(5,𝔽2)12yes—
772C22⋊D59—44no—
773C22⋊D59—44no—
774C22⋊D59—44no—
775C22⋊D59—44no—
776C22⋊D59—44no—
777C22⋊D59—44no—
778C22⋊D59—44no—
779C22⋊D59—82no—
780C22⋊D59—82no—
781C22⋊D59—82no—
782C22⋊D59—82no—
783C22⋊D59—82no—
784C22⋊D59—82no—
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—21no—
804C2×Dic59—21no—
805C2×Dic59—21no—
806C2×Dic59—21no—
807C2×Dic59—21no—
808C2×Dic59—21no—
809C2×Dic59—21no—
810C2×Dic59—21no—
811C2×Dic59—21no—
812C2×Dic59—21no—
813C2×Dic59—21no—
814C2×Dic59—21no—
815C2×Dic59—21no—
816C2×Dic59—21no—
817C2×Dic59—21no—
818C2×Dic59—21no—
819C2×Dic59—21no—
820C2×Dic59—21no—
821C2×Dic59—21no—
822C2×Dic59—21no—
823C2×Dic59—21no—
824C2×Dic59—44no—
825C2×Dic59—82no—
826C2×Dic59—82no—
827D236—82no—
828D236—82no—
829C4×D59—82no—
830Dic118—82no—
831#34990—591nomaximal, Sylow
832C22×C59—22no—
833C22×C59—22no—
834C22×C59—22no—
835C22×C59—22no—
836C22×C59—22no—
837C22×C59—22no—
838C22×C59—22no—
839C22×C59—22no—
840C22×C59—22no—
841C22×C59—22no—
842C22×C59—22no—
843C22×C59—22no—
844C22×C59—22no—
845C22×C59—22no—
846C22×C59—22no—
847C22×C59—22no—
848C22×C59—22no—
849C22×C59—22no—
850C22×C59—22no—
851C22×C59—22no—
852C22×C59—22no—
853C22×C59—416no—
854C22×C59—416no—
855C22×C59—41no—
856C22×C59—41no—
857C22×C59—41no—
858C22×C59—41no—
859C22×C59—41no—
860C22×C59—41no—
861C22×C59—41no—
862C22×C59—41no—
863C22×C59—41no—
864C22×C59—41no—
865C22×C59—41no—
866C22×C59—41no—
867C22×C59#52514yes—
868C22×C59#53814yescomplemented
869C22×C59C23×D411yescharacteristic
870C22×C59C22×#4111yescharacteristic
871C22×C59C22×#4111yescharacteristic
872C22×C59C2×H(5,𝔽2)11yescharacteristic
873C22×C59C2×H(5,𝔽2)11yescharacteristic
874C22×C59C2×H(5,𝔽2)11yescharacteristic
875C22×C59#58511yescharacteristic
876C2×D59—41no—
877C2×D59—41no—
878C2×D59—41no—
879C2×D59—41no—
880C2×D59—41no—
881C2×D59—41no—
882C2×D59—41no—
883C2×D59—41no—
884C2×D59—41no—
885C2×D59—41no—
886C2×D59—41no—
887C2×D59—41no—
888C2×D59—41no—
889C2×D59—41no—
890C2×D59—41no—
891C2×D59—41no—
892C2×D59—41no—
893C2×D59—41no—
894C2×D59—41no—
895C2×D59—41no—
896C2×D59—41no—
897C2×D59—88no—
898C4×C59—22no—
899C4×C59—22no—
900C4×C59—22no—
901C4×C59—22no—
902C4×C59—22no—
903C4×C59—22no—
904C4×C59—22no—
905C4×C59—41no—
906C4×C59—41no—
907C4×C59—41no—
908Dic59—41no—
909Dic59—41no—
910Dic59—41no—
911Dic59—41no—
912Dic59—41no—
913Dic59—41no—
914Dic59—41no—
915Dic59—41no—
916Dic59—41no—
917Dic59—41no—
918Dic59—41no—
919Dic59—41no—
920Dic59—41no—
921C2×#538—591no—
922C22×C4×D4D5911yescharacteristic, complemented
923#2852—591no—
924#2850—591no—
925#2849—591no—
926#2847—591no—
927#2636—591no—
928#2635—591no—
929#2631—591no—
930#2630—591no—
931#2481—591no—
932#2472—591no—
933#2467—591no—
934#2459—591no—
935#2456—591no—
936#2456—591no—
937#2450—591no—
938#2444—591no—
939#2443—591no—
940#2437—591no—
941#2424—591no—
942#2424—591no—
943#2418—591no—
944#2410—591no—
945#2410—591no—
946#2403—591no—
947#2325—591no—
948#2321—591no—
949#2318—591no—
950C4×#120—591no—
951C2×#386—591no—
952C2×C59—24no—
953C2×C59—24no—
954C2×C59—42no—
955C2×C59—42no—
956C2×C59—42no—
957C2×C59C2×#52511yescharacteristic
958C2×C59C2×#53811yescharacteristic
959C2×C59#345911yescharacteristic
960C2×C59#348411yescharacteristic
961C2×C59#348811yescharacteristic
962C2×C59#351311yescharacteristic
963C2×C59#351911yescharacteristic
964D59—81no—
965D59—81no—
966D59—81no—
967C23×D4—591no—
968C23×D4C2×D5911yescharacteristic
969C24×C4C2×D5911yescharacteristic
970C24×C4C2×D5911yescharacteristic, complemented
971#538—1188no—
972C2×#126—591no—
973C2×#126—591no—
974C2×#124—591no—
975C2×#124—591no—
976C2×#123—591no—
977C2×#123—591no—
978C2×#123—591no—
979C2×C22⋊Q8—591no—
980C2×C22⋊Q8—591no—
981C2×#121—591no—
982C2×#121—591no—
983C2×#121—591no—
984C2×#121—591no—
985C2×#121—591no—
986C2×#121—591no—
987C2×#121—591no—
988C2×#120—591no—
989C2×#120—591no—
990C2×#120—591no—
991C2×#120—591no—
992C2×#120—591no—
993C2×#120—591no—
994C2×#120—591no—
995C2×C4×D4—28no—
996C2×C4×D4—591no—
997C2×C4×D4—591no—
998C2×C4×D4—591no—
999C2×C4×D4C2×D5911yescharacteristic
1000C2×C4×D4C2×D5911yescharacteristic
1001C2×C4×D4C2×D5911yescharacteristic
1002C2×C4×D4C2×D5911yescharacteristic
1003C2×C4×D4C2×D5911yescharacteristic, complemented
1004C2×C4×D4C2×D5911yescharacteristic, complemented
1005C2×C4×D4C2×D5911yescharacteristic, complemented
1006C2×C4×D4C2×D5911yescharacteristic, complemented
1007C22×C4⋊C4C2×D5911yescharacteristic, complemented
1008C22×C22⋊C4—591no—
1009C22×C22⋊C4—591no—
1010C22×C22⋊C4—591no—
1011C22×C22⋊C4C2×D5911yescharacteristic
1012C22×C22⋊C4C2×D5911yescharacteristic, complemented
1013C22×C42C2×D5911yescharacteristic, complemented
1014#400—591no—
1015#400—591no—
1016#399—591no—
1017#399—591no—
1018#398—591no—
1019#397—591no—
1020#397—591no—
1021#397—591no—
1022#396—591no—
1023#396—591no—
1024#396—591no—
1025#396—591no—
1026#394—591no—
1027#394—591no—
1028#394—591no—
1029#394—591no—
1030#394—591no—
1031#394—591no—
1032#394—591no—
1033#394—591no—
1034#394—591no—
1035#393—591no—
1036#393—591no—
1037#392—591no—
1038#392—591no—
1039#392—591no—
1040#392—591no—
1041#392—591no—
1042#392—591no—
1043#392—591no—
1044#392—591no—
1045#392—591no—
1046#391—591no—
1047#390—591no—
1048#390—591no—
1049#390—591no—
1050#388—591no—
1051#388—591no—
1052#388—591no—
1053#388—591no—
1054#388—591no—
1055#388—591no—
1056#388—591no—
1057#388—591no—
1058#388—591no—
1059#388—591no—
1060#388—591no—
1061#388—591no—
1062#387—591no—
1063#387—591no—
1064#387—591no—
1065#387—591no—
1066#387—591no—
1067#387—591no—
1068#386—591no—
1069#386—591no—
1070#386—591no—
1071#386—591no—
1072#386—591no—
1073#386—591no—
1074#386—591no—
1075#386—591no—
1076#386—591no—
1077#386—591no—
1078#386—591no—
1079#386—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#386—591no—
1091#386—591no—
1092#386—591no—
1093#386—591no—
1094#386—591no—
1095#386—591no—
1096#385—591no—
1097#385—591no—
1098#385—591no—
1099#385—591no—
1100#385—591no—
1101#385—591no—
1102#385—591no—
1103#385—591no—
1104#385—591no—
1105#385—591no—
1106#385—591no—
1107#385—591no—
1108#383—591no—
1109#382—591no—
1110#381—591no—
1111#381—591no—
1112#380—591no—
1113#380—591no—
1114#380—591no—
1115#380—591no—
1116#379—591no—
1117#379—591no—
1118#379—591no—
1119C4×C22⋊C4—591no—
1120C4×C22⋊C4—591no—
1121C4×C22⋊C4—591no—
1122C2×#95—591no—
1123C2×#95—591no—
1124C59#3499011yescharacteristic, complemented, Sylow
1125C25—591no—
1126C25C22×D5911yescharacteristic
1127C25C22×D5911yescharacteristic
1128C22×Q8—591no—
1129C22×D4—24no—
1130C22×D4—24no—
1131C22×D4—24no—
1132C22×D4—591no—
1133C22×D4—591no—
1134C22×D4—591no—
1135C22×D4—591no—
1136C22×D4—591no—
1137C22×D4—591no—
1138C22×D4—591no—
1139C22×D4—591no—
1140C22×D4—591no—
1141C22×D4—591no—
1142C22×D4—591no—
1143C22×D4—591no—
1144C22×D4—591no—
1145C22×D4—591no—
1146C22×D4—591no—
1147C22×D4—1184no—
1148C22×D4—2362no—
1149C22×D4—2362no—
1150C22×D4C22×D5911yescharacteristic
1151C22×D4C22×D5911yescharacteristic
1152C22×D4C22×D5911yescharacteristic
1153C22×D4C22×D5911yescharacteristic
1154C23×C4—24no—
1155C23×C4—24no—
1156C23×C4—42no—
1157C23×C4—42no—
1158C23×C4—42no—
1159C23×C4—42no—
1160C23×C4—591no—
1161C23×C4—591no—
1162C23×C4—591no—
1163C23×C4—591no—
1164C23×C4C22×D5911yescharacteristic
1165C23×C4C22×D5911yescharacteristic
1166C23×C4C22×D5911yescharacteristic
1167C23×C4C22×D5911yescharacteristic
1168C23×C4C22×D5911yescharacteristic
1169C23×C4C22×D5911yescharacteristic
1170C23×C4C22×D5911yescharacteristic
1171C23×C4C22×D5911yescharacteristic
1172C23×C4C22×D5911yescharacteristic
1173C23×C4C22×D5911yescharacteristic
1174C23×C4C22×D5911yescharacteristic
1175C23×C4C22×D5911yescharacteristic
1176C23×C4C22×D5911yescharacteristic
1177#126—1184no—
1178#126—1184no—
1179#124—1184no—
1180#124—1184no—
1181#123—1184no—
1182#123—1184no—
1183#123—2362no—
1184C22⋊Q8—1184no—
1185C22⋊Q8—2362no—
1186#121—1184no—
1187#121—1184no—
1188#121—1184no—
1189#121—1184no—
1190#121—2362no—
1191#121—2362no—
1192#121—2362no—
1193#120—1184no—
1194#120—1184no—
1195#120—1184no—
1196#120—1184no—
1197#120—2362no—
1198#120—2362no—
1199#120—2362no—
1200C4×D4—24no—
1201C4×D4—24no—
1202C4×D4—24no—
1203C4×D4—24no—
1204C4×D4—24no—
1205C4×D4—24no—
1206C4×D4—24no—
1207C4×D4—1184no—
1208C4×D4—2362no—
1209C4×D4—2362no—
1210C4×D4C22⋊D5918yescomplemented
1211C2×C4⋊C4—24no—
1212C2×C4⋊C4—591no—
1213C2×C4⋊C4—591no—
1214C2×C4⋊C4—591no—
1215C2×C4⋊C4—591no—
1216C2×C4⋊C4—591no—
1217C2×C4⋊C4—591no—
1218C2×C4⋊C4—591no—
1219C2×C4⋊C4—591no—
1220C2×C4⋊C4—591no—
1221C2×C4⋊C4—591no—
1222C2×C4⋊C4—591no—
1223C2×C4⋊C4—591no—
1224C2×C4⋊C4—591no—
1225C2×C4⋊C4—591no—
1226C2×C4⋊C4—591no—
1227C2×C4⋊C4—591no—
1228C2×C4⋊C4C22×D5911yescharacteristic
1229C2×C4⋊C4C22×D5911yescharacteristic
1230C2×C4⋊C4C22×D5911yescharacteristic
1231C2×C4⋊C4C22×D5911yescharacteristic
1232C2×C22⋊C4—24no—
1233C2×C22⋊C4—24no—
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—591no—
1266C2×C22⋊C4—591no—
1267C2×C22⋊C4—591no—
1268C2×C22⋊C4—591no—
1269C2×C22⋊C4—591no—
1270C2×C22⋊C4—591no—
1271C2×C22⋊C4—591no—
1272C2×C22⋊C4—591no—
1273C2×C22⋊C4—591no—
1274C2×C22⋊C4—591no—
1275C2×C22⋊C4—591no—
1276C2×C22⋊C4—591no—
1277C2×C22⋊C4—591no—
1278C2×C22⋊C4—591no—
1279C2×C22⋊C4—591no—
1280C2×C22⋊C4—591no—
1281C2×C22⋊C4—591no—
1282C2×C22⋊C4—1184no—
1283C2×C22⋊C4—2362no—
1284C2×C22⋊C4—2362no—
1285C2×C22⋊C4C22×D5911yescharacteristic
1286C2×C22⋊C4C22×D5911yescharacteristic
1287C2×C22⋊C4C22×D5911yescharacteristic
1288C2×C22⋊C4C22×D5911yescharacteristic
1289C2×C22⋊C4C22×D5911yescharacteristic
1290C2×C22⋊C4C22×D5911yescharacteristic
1291C2×C22⋊C4C22×D5911yescharacteristic
1292C2×C22⋊C4C22×D5911yescharacteristic
1293C2×C42—24no—
1294C2×C42—591no—
1295C2×C42—591no—
1296C2×C42—591no—
1297C2×C42C22×D5911yescharacteristic
1298C2×C42C22×D5911yescharacteristic
1299C2×C42C22×D5911yescharacteristic
1300C2×C42C22×D5911yescharacteristic
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—
1319#95—591no—
1320#95—591no—
1321#95—591no—
1322#95—591no—
1323#95—591no—
1324#95—591no—
1325#95—591no—
1326#95—591no—
1327#95—591no—
1328#95—591no—
1329#95—591no—
1330#95—591no—
1331#95—591no—
1332#95—591no—
1333C24—22no—
1334C24—22no—
1335C24—22no—
1336C24—22no—
1337C24—22no—
1338C24—22no—
1339C24—22no—
1340C24—22no—
1341C24—22no—
1342C24—41no—
1343C24—41no—
1344C24—41no—
1345C24—41no—
1346C24—591no—
1347C24—591no—
1348C24—591no—
1349C24—1182no—
1350C24—1182no—
1351C24—1182no—
1352C24—2361no—
1353C24—2361no—
1354C24—2361no—
1355C24—2361no—
1356C24#1174568514yes—
1357C24C23×D5911yescharacteristic
1358C24C23×D5911yescharacteristic
1359C24C23×D5911yescharacteristic
1360C24C23×D5911yescharacteristic
1361C24C23×D5911yescharacteristic
1362C2×Q8—1182no—
1363C2×Q8—2361no—
1364C2×Q8—2361no—
1365C2×D4—232no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—22no—
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—1182no—
1391C2×D4—1182no—
1392C2×D4—1182no—
1393C2×D4—1182no—
1394C2×D4—1182no—
1395C2×D4—1182no—
1396C2×D4—1182no—
1397C2×D4—1182no—
1398C2×D4—1182no—
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—2361no—
1413C2×D4—2361no—
1414C2×D4—2361no—
1415C2×D4—2361no—
1416C2×D4—2361no—
1417C2×D4—2361no—
1418C2×D4—2361no—
1419C2×D4—2361no—
1420C2×D4—2361no—
1421C2×D4—23616no—
1422C2×D4#1174568514yes—
1423C2×D4C2×C22⋊D5914yes—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—22no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—22no—
1443C22×C4—22no—
1444C22×C4—22no—
1445C22×C4—22no—
1446C22×C4—41no—
1447C22×C4—41no—
1448C22×C4—41no—
1449C22×C4—41no—
1450C22×C4—41no—
1451C22×C4—41no—
1452C22×C4—41no—
1453C22×C4—41no—
1454C22×C4—41no—
1455C22×C4—41no—
1456C22×C4—41no—
1457C22×C4—41no—
1458C22×C4—41no—
1459C22×C4—41no—
1460C22×C4—41no—
1461C22×C4—416no—
1462C22×C4—416no—
1463C22×C4—591no—
1464C22×C4—591no—
1465C22×C4—591no—
1466C22×C4—591no—
1467C22×C4—591no—
1468C22×C4—591no—
1469C22×C4—591no—
1470C22×C4—591no—
1471C22×C4—591no—
1472C22×C4—591no—
1473C22×C4—591no—
1474C22×C4—591no—
1475C22×C4—591no—
1476C22×C4—1182no—
1477C22×C4—1182no—
1478C22×C4—1182no—
1479C22×C4—1182no—
1480C22×C4—2361no—
1481C22×C4—2361no—
1482C22×C4—2361no—
1483C22×C4—2361no—
1484C22×C4—2361no—
1485C22×C4—2361no—
1486C22×C4—2361no—
1487C22×C4—2361no—
1488C22×C4C2×C22⋊D5914yes—
1489C22×C4C2×C22⋊D5914yescomplemented
1490C22×C4C23×D5911yescharacteristic
1491C22×C4C23×D5911yescharacteristic
1492C22×C4C23×D5911yescharacteristic
1493C22×C4C23×D5911yescharacteristic
1494C22×C4C23×D5911yescharacteristic
1495C22×C4C23×D5911yescharacteristic
1496C22×C4C23×D5911yescharacteristic
1497C22×C4C23×D5911yescharacteristic
1498C22×C4C23×D5911yescharacteristic
1499C22×C4C23×D5911yescharacteristic
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—22no—
1503C4⋊C4—1182no—
1504C4⋊C4—1182no—
1505C4⋊C4—1182no—
1506C4⋊C4—1182no—
1507C4⋊C4—1182no—
1508C4⋊C4—1182no—
1509C4⋊C4—1182no—
1510C4⋊C4—2361no—
1511C4⋊C4—2361no—
1512C4⋊C4—2361no—
1513C4⋊C4—2361no—
1514C4⋊C4—2361no—
1515C4⋊C4—2361no—
1516C4⋊C4—2361no—
1517C4⋊C4—2361no—
1518C4⋊C4—2361no—
1519C4⋊C4C2×C22⋊D5914yescomplemented
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—1182no—
1527C22⋊C4—1182no—
1528C22⋊C4—1182no—
1529C22⋊C4—1182no—
1530C22⋊C4—1182no—
1531C22⋊C4—1182no—
1532C22⋊C4—1182no—
1533C22⋊C4—1182no—
1534C22⋊C4—1182no—
1535C22⋊C4—1182no—
1536C22⋊C4—1182no—
1537C22⋊C4—1182no—
1538C22⋊C4—1182no—
1539C22⋊C4—1182no—
1540C22⋊C4—1182no—
1541C22⋊C4—1182no—
1542C22⋊C4—1182no—
1543C22⋊C4—1182no—
1544C22⋊C4—1182no—
1545C22⋊C4—1182no—
1546C22⋊C4—1182no—
1547C22⋊C4—1182no—
1548C22⋊C4—1182no—
1549C22⋊C4—1182no—
1550C22⋊C4—1182no—
1551C22⋊C4—1182no—
1552C22⋊C4—1182no—
1553C22⋊C4—2361no—
1554C22⋊C4—2361no—
1555C22⋊C4—2361no—
1556C22⋊C4—2361no—
1557C22⋊C4—2361no—
1558C22⋊C4—2361no—
1559C22⋊C4—2361no—
1560C22⋊C4—2361no—
1561C22⋊C4—2361no—
1562C22⋊C4—2361no—
1563C22⋊C4—2361no—
1564C22⋊C4—2361no—
1565C22⋊C4—2361no—
1566C22⋊C4—2361no—
1567C22⋊C4—2361no—
1568C22⋊C4—2361no—
1569C22⋊C4—2361no—
1570C22⋊C4—2361no—
1571C22⋊C4—2361no—
1572C22⋊C4—2361no—
1573C22⋊C4—2361no—
1574C22⋊C4C2×C22⋊D5914yes—
1575C22⋊C4C2×C22⋊D5914yescomplemented
1576C42—22no—
1577C42—22no—
1578C42—22no—
1579C42—1182no—
1580C42—2361no—
1581C42—2361no—
1582C42C2×C22⋊D5914yescomplemented
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—28no—
1592C23—28no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—28no—
1612C23—44no—
1613C23—44no—
1614C23—44no—
1615C23—44no—
1616C23—44no—
1617C23—44no—
1618C23—44no—
1619C23—44no—
1620C23—44no—
1621C23—44no—
1622C23—44no—
1623C23—1181no—
1624C23—1181no—
1625C23—1181no—
1626C23—1181no—
1627C23—1181no—
1628C23—1181no—
1629C23—1181no—
1630C23—1181no—
1631C23—1181no—
1632C23—1181no—
1633C23—1181no—
1634C23—1181no—
1635C23—1181no—
1636C23—1181no—
1637C23—1181no—
1638C23—1181no—
1639C23—1181no—
1640C23—1181no—
1641C23—1181no—
1642C23—1181no—
1643C23—1181no—
1644C23—4722no—
1645C23—4722no—
1646C23—4722no—
1647C23—4722no—
1648C23—2364no—
1649C23—2364no—
1650C23—2364no—
1651C23C22×C22⋊D5912yes—
1652C23C22×C22⋊D5912yes—
1653C23C2×#1174568512yes—
1654C23C2×#1174568512yes—
1655C23C2×#1174568512yes—
1656C23C2×#1174568512yes—
1657C23C2×#1174568512yes—
1658C23#1427377212yes—
1659C23#1427377312yes—
1660C23C24×D5911yescharacteristic
1661Q8—4722no—
1662D4—28no—
1663D4—28no—
1664D4—28no—
1665D4—28no—
1666D4—4722no—
1667D4—4722no—
1668D4—4722no—
1669D4—4722no—
1670D4—4722no—
1671D4—4722no—
1672D4—4722no—
1673D4—4722no—
1674D4—2364no—
1675D4—2364no—
1676D4—2364no—
1677D4—2364no—
1678D4—2364no—
1679D4—2364no—
1680D4—2364no—
1681C2×C4—28no—
1682C2×C4—28no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—44no—
1707C2×C4—44no—
1708C2×C4—44no—
1709C2×C4—44no—
1710C2×C4—44no—
1711C2×C4—44no—
1712C2×C4—44no—
1713C2×C4—44no—
1714C2×C4—44no—
1715C2×C4—44no—
1716C2×C4—44no—
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—1181no—
1731C2×C4—1181no—
1732C2×C4—1181no—
1733C2×C4—1181no—
1734C2×C4—1181no—
1735C2×C4—1181no—
1736C2×C4—1181no—
1737C2×C4—1181no—
1738C2×C4—1181no—
1739C2×C4—1181no—
1740C2×C4—1181no—
1741C2×C4—1181no—
1742C2×C4—1181no—
1743C2×C4—1181no—
1744C2×C4—1181no—
1745C2×C4—1181no—
1746C2×C4—1181no—
1747C2×C4—1181no—
1748C2×C4—1181no—
1749C2×C4—1181no—
1750C2×C4—1181no—
1751C2×C4—1181no—
1752C2×C4—1181no—
1753C2×C4—1181no—
1754C2×C4—1181no—
1755C2×C4—1181no—
1756C2×C4—4722no—
1757C2×C4—4722no—
1758C2×C4—4722no—
1759C2×C4—2364no—
1760C2×C4C22×C22⋊D5912yes—
1761C2×C4C22×C22⋊D5912yes—
1762C2×C4C22×C22⋊D5912yes—
1763C2×C4C22×C22⋊D5912yes—
1764C2×C4C22×C22⋊D5912yes—
1765C2×C4C2×#1174568512yes—
1766C2×C4#1427377212yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—22no—
1786C22—22no—
1787C22—22no—
1788C22—416no—
1789C22—416no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—4728no—
1803C22—2361no—
1804C22—2361no—
1805C22—2361no—
1806C22—2361no—
1807C22—2361no—
1808C22—2361no—
1809C22—2361no—
1810C22—2361no—
1811C22—2361no—
1812C22—2361no—
1813C22—2361no—
1814C22—2361no—
1815C22—2361no—
1816C22—2361no—
1817C22—2361no—
1818C22—2361no—
1819C22—2361no—
1820C22—2361no—
1821C22—2361no—
1822C22—2361no—
1823C22—2361no—
1824C22#1683791314yes—
1825C22#1683798514yescomplemented
1826C22C23×C22⋊D5911yescharacteristic
1827C22C22×#1174568511yescharacteristic
1828C22C22×#1174568511yescharacteristic
1829C22C2×#1427377211yescharacteristic
1830C22C2×#1427377211yescharacteristic
1831C22C2×#1427377311yescharacteristic
1832C22#1683823811yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—22no—
1838C4—22no—
1839C4—22no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—2361no—
1844C4—2361no—
1845C4—2361no—
1846C4—2361no—
1847C4—2361no—
1848C4—2361no—
1849C4—2361no—
1850C4—2361no—
1851C4—2361no—
1852C4—2361no—
1853C4—2361no—
1854C4—2361no—
1855C4—2361no—
1856C2—24no—
1857C2—24no—
1858C2—42no—
1859C2—42no—
1860C2—42no—
1861C2—4721no—
1862C2—4721no—
1863C2—4721no—
1864C2C2×#1683791311yescharacteristic
1865C2C2×#1683798511yescharacteristic
1866C2#2143750511yescharacteristic
1867C2#2143773111yescharacteristic
1868C2#2143776511yescharacteristic
1869C2#2143803611yescharacteristic
1870C2#2143812811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC22×C4×D4×C59C2
hypercenterC22×C4×D4D59
hypocenterC59#34990
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ C22×C4×D4

Complements

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

NH ≅ G/Ntype
1. C2×#16837985C2semidirect
2. #21432411C2semidirect
3. #21432397C2semidirect
4. #21432388C2semidirect
5. #21432378C2semidirect
6. #21429991C2semidirect
7. #21429980C2semidirect
8. #21429948C2semidirect
9. #21429933C2semidirect
10. #21428351C2semidirect
11. #21428216C2semidirect
12. #21428141C2semidirect
13. #21428027C2semidirect
14. #21427988C2semidirect
15. #21427982C2semidirect
16. #21427914C2semidirect
17. #21427840C2semidirect
18. #21427831C2semidirect
19. #21427757C2semidirect
20. #21427632C2semidirect
21. #21427626C2semidirect
22. #21427552C2semidirect
23. #21427470C2semidirect
24. #21427464C2semidirect
25. #21427406C2semidirect
26. #21426794C2semidirect
27. #21426750C2semidirect
28. #21426729C2semidirect
29. C4×#14273696C2semidirect
30. C2×#16837281C2semidirect
31. C22×C4×D4×C59C2semidirect
34. C2×#14273722C22semidirect
35. C2×#14273721C22semidirect
36. C2×#14273715C22semidirect
37. C2×#14273713C22semidirect
38. C2×#14273712C22semidirect
39. C2×#14273710C22semidirect
40. C2×#14273710C22semidirect
41. C2×#14273706C22semidirect
42. C2×#14273704C22semidirect
45. C2×#14273701C22semidirect
46. C2×#14273701C22semidirect
47. C2×#14273700C22semidirect
50. C2×#14273697C22semidirect
54. C2×#14273696C22semidirect
57. C2×C4×C22⋊D59C22semidirect
58. C2×C4×C22⋊D59C22semidirect
59. C2×C4×C22⋊D59C22semidirect
61. C22×(C2×D59)⋊C4C22semidirect
62. C22×(C2×D59)⋊C4C22semidirect
63. #16837341C22semidirect
64. #16837340C22semidirect
65. #16837338C22semidirect
66. #16837337C22semidirect
67. #16837335C22semidirect
68. #16837330C22semidirect
69. #16837328C22semidirect
70. #16837328C22semidirect
71. #16837325C22semidirect
72. #16837325C22semidirect
73. #16837325C22semidirect
74. #16837324C22semidirect
75. #16837319C22semidirect
76. #16837318C22semidirect
77. #16837318C22semidirect
78. #16837318C22semidirect
79. #16837317C22semidirect
80. #16837317C22semidirect
81. #16837317C22semidirect
82. #16837316C22semidirect
83. #16837316C22semidirect
84. #16837314C22semidirect
85. #16837314C22semidirect
86. #16837311C22semidirect
87. #16837311C22semidirect
88. #16837311C22semidirect
93. #16837310C22semidirect
94. #16837310C22semidirect
95. #16837308C22semidirect
96. #16837304C22semidirect
97. #16837302C22semidirect
98. #16837302C22semidirect
99. #16837295C22semidirect
100. #16837295C22semidirect
101. #16837293C22semidirect
102. #16837293C22semidirect
103. #16837293C22semidirect
104. #16837293C22semidirect
105. #16837293C22semidirect
106. #16837293C22semidirect
107. #16837293C22semidirect
108. #16837292C22semidirect
109. #16837292C22semidirect
110. #16837290C22semidirect
111. #16837288C22semidirect
112. #16837288C22semidirect
113. #16837286C22semidirect
114. #16837286C22semidirect
115. #16837286C22semidirect
116. #16837283C22semidirect
129. #16837281C22semidirect
130. #16837281C22semidirect
131. #16837281C22semidirect
132. #16837281C22semidirect
133. #16837281C22semidirect
134. #16837281C22semidirect
135. #16837281C22semidirect
136. #16837281C22semidirect
137. #16837281C22semidirect
138. #16837281C22semidirect
139. #16837281C22semidirect
140. #16837281C22semidirect
141. #16837281C22semidirect
142. #16837281C22semidirect
143. #16837279C22semidirect
144. #16837278C22semidirect
145. #16837277C22semidirect
146. #16837277C22semidirect
147. #16837275C22semidirect
148. #16837275C22semidirect
149. #16837275C22semidirect
150. #16837275C22semidirect
151. #16837275C22semidirect
152. #16837275C22semidirect
153. #16837275C22semidirect
154. #16837275C22semidirect
155. #16837274C22semidirect
156. #16837273C22semidirect
157. #16837270C22semidirect
158. #16837268C22semidirect
159. #16837265C22semidirect
160. #16837265C22semidirect
161. #16837262C22semidirect
162. #16837262C22semidirect
163. #16837262C22semidirect
164. #16837260C22semidirect
166. #16837258C22semidirect
167. #16837257C22semidirect
168. C4×C22⋊Dic59C22semidirect
169. C4×C22⋊Dic59C22semidirect
170. C4×C22⋊Dic59C22semidirect
171. C2×C59⋊#95C22semidirect
172. C2×C59⋊#95C22semidirect
175. C24×C4×C59C22semidirect
181. C2×C4×D4×C59C22semidirect
182. C2×C4×D4×C59C22semidirect
183. C2×C4×D4×C59C22semidirect
184. C2×C4×D4×C59C22semidirect
185. C22×C4⋊C4×C59C22semidirect
187. C22×C22⋊C4×C59C22semidirect
188. C22×C42×C59C22semidirect
376. C4×D4×C59D4semidirect
479. C22×C4×C59C2×D4semidirect
567. C4⋊C4×C59C2×D4semidirect
575. C22⋊C4×C59C2×D4semidirect
579. C42×C59C2×D4semidirect
868. C22×C59#538semidirect
922. C22×C4×D4D59semidirect
970. C24×C4C2×D59semidirect
1003. C2×C4×D4C2×D59semidirect
1004. C2×C4×D4C2×D59semidirect
1005. C2×C4×D4C2×D59semidirect
1006. C2×C4×D4C2×D59semidirect
1007. C22×C4⋊C4C2×D59semidirect
1012. C22×C22⋊C4C2×D59semidirect
1013. C22×C42C2×D59semidirect
1124. C59#34990semidirect
1210. C4×D4C22⋊D59semidirect
1489. C22×C4C2×C22⋊D59semidirect
1519. C4⋊C4C2×C22⋊D59semidirect
1575. C22⋊C4C2×C22⋊D59semidirect
1582. C42C2×C22⋊D59semidirect
1825. C22#16837985semidirect

Maximal subgroups

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

subgroupindex
C2×#168379852
#214324112
#214323972
#214323882
#214323782
#214299912
#214299802
#214299482
#214299332
#214283512
#214282162
#214281412
#214280272
#214279882
#214279822
#214279142
#214278402
#214278312
#214277572
#214276322
#214276262
#214275522
#214274702
#214274642
#214274062
#214267942
#214267502
#214267292
C4×#142736962
C2×#168372812
C22×C4×D4×C592
#3499059