Finite Group Databasebeta

← #28795579

Subgroups — #28795579

Order 15104.

2620 conjugacy classes of subgroups.

The subgroup lattice has 1812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837911C211yesmaximal, characteristic, complemented
2#21432385C211yesmaximal, characteristic, complemented
3#21432375C211yesmaximal, characteristic, complemented
4#21430610C211yesmaximal, characteristic, complemented
5#21430601C211yesmaximal, characteristic, complemented
6#21430556C211yesmaximal, characteristic, complemented
7#21430526C211yesmaximal, characteristic, complemented
8#21430511C211yesmaximal, characteristic, complemented
9#21430415C211yesmaximal, characteristic, complemented
10#21430391C211yesmaximal, characteristic, complemented
11#21430386C211yesmaximal, characteristic, complemented
12#21430357C211yesmaximal, characteristic, complemented
13#21430356C211yesmaximal, characteristic, complemented
14#21430341C211yesmaximal, characteristic, complemented
15#21430332C211yesmaximal, characteristic, complemented
16#21430327C211yesmaximal, characteristic, complemented
17#21430309C211yesmaximal, characteristic, complemented
18#21430308C211yesmaximal, characteristic, complemented
19#21430299C211yesmaximal, characteristic, complemented
20#21429981C211yesmaximal, characteristic, complemented
21#21429935C211yesmaximal, characteristic, complemented
22#21429768C211yesmaximal, characteristic, complemented
23#21429710C211yesmaximal, characteristic, complemented
24#21429662C211yesmaximal, characteristic, complemented
25#21429656C211yesmaximal, characteristic, complemented
26#21429058C211yesmaximal, characteristic, complemented
27#21428997C211yesmaximal, characteristic, complemented
28#21427716C211yesmaximal, characteristic, complemented
29#21427708C211yesmaximal, characteristic, complemented
30#21426729C211yesmaximal, characteristic, complemented
31C2×C59×#540C211yesmaximal, characteristic, complemented
32C22×#11745685C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34C2×#14273723C2211yescharacteristic
35C2×#14273714C2211yescharacteristic, complemented
36#16837911—28no—
37C2×#14273712C2211yescharacteristic
38C2×#14273709C2211yescharacteristic
39C2×#14273708C2211yescharacteristic
40C2×#14273705C2211yescharacteristic
41C2×#14273704C2211yescharacteristic
42C2×#14273701C2211yescharacteristic
43C2×#14273701C2211yescharacteristic
44C2×#14273700C2211yescharacteristic
45C2×#14273699C2211yescharacteristic
46C2×#14273699C2211yescharacteristic
47C2×#14273699C2211yescharacteristic
48C2×#14273699C2211yescharacteristic
49C2×#14273699C2211yescharacteristic, complemented
50C2×#14273698C2211yescharacteristic
51C2×#14273698C2211yescharacteristic
52C2×#14273697C2211yescharacteristic
53C2×#14273695C2211yescharacteristic
54C2×#14273695C2211yescharacteristic
55C2×#14273695C2211yescharacteristic
56C2×#14273695C2211yescharacteristic
57C2×C4×D236C2211yescharacteristic
58C2×C4×C22⋊D59C2211yescharacteristic
59C2×C4×C22⋊D59C2211yescharacteristic
60C2×#14273684C2211yescharacteristic
61#16837341C2211yescharacteristic, complemented
62#16837340C2211yescharacteristic, complemented
63#16837340C2211yescharacteristic, complemented
64#16837338C2211yescharacteristic, complemented
65#16837337C2211yescharacteristic
66#16837337C2211yescharacteristic, complemented
67#16837335C2211yescharacteristic, complemented
68#16837335C2211yescharacteristic, complemented
69#16837333C2211yescharacteristic, complemented
70#16837330C2211yescharacteristic
71#16837330C2211yescharacteristic, complemented
72#16837328C2211yescharacteristic
73#16837328C2211yescharacteristic
74#16837328C2211yescharacteristic, complemented
75#16837325C2211yescharacteristic, complemented
76#16837325C2211yescharacteristic, complemented
77#16837324C2211yescharacteristic
78#16837324C2211yescharacteristic, complemented
79#16837322C2211yescharacteristic, complemented
80#16837319C2211yescharacteristic
81#16837319C2211yescharacteristic
82#16837318C2211yescharacteristic
83#16837318C2211yescharacteristic, complemented
84#16837317C2211yescharacteristic
85#16837317C2211yescharacteristic
86#16837316C2211yescharacteristic
87#16837316C2211yescharacteristic
88#16837316C2211yescharacteristic
89#16837316C2211yescharacteristic, complemented
90#16837316C2211yescharacteristic, complemented
91#16837316C2211yescharacteristic, complemented
92#16837316C2211yescharacteristic, complemented
93#16837314C2211yescharacteristic, complemented
94#16837311C2211yescharacteristic
95#16837311C2211yescharacteristic
96#16837310C2211yescharacteristic
97#16837310C2211yescharacteristic
98#16837310C2211yescharacteristic
99#16837310C2211yescharacteristic
100#16837310C2211yescharacteristic
101#16837310C2211yescharacteristic
102#16837310C2211yescharacteristic
103#16837310C2211yescharacteristic
104#16837310C2211yescharacteristic
105#16837310C2211yescharacteristic, complemented
106#16837310C2211yescharacteristic, complemented
107#16837310C2211yescharacteristic, complemented
108#16837310C2211yescharacteristic, complemented
109#16837307C2211yescharacteristic, complemented
110#16837303C2211yescharacteristic
111#16837302C2211yescharacteristic
112#16837297C2211yescharacteristic, complemented
113#16837296C2211yescharacteristic, complemented
114#16837295C2211yescharacteristic
115#16837295C2211yescharacteristic
116#16837293C2211yescharacteristic
117#16837293C2211yescharacteristic
118#16837293C2211yescharacteristic, complemented
119#16837292C2211yescharacteristic
120#16837290C2211yescharacteristic, complemented
121#16837290C2211yescharacteristic, complemented
122#16837290C2211yescharacteristic, complemented
123#16837288C2211yescharacteristic, complemented
124#16837288C2211yescharacteristic, complemented
125#16837286C2211yescharacteristic, complemented
126#16837283C2211yescharacteristic, complemented
127#16837282C2211yescharacteristic
128#16837282C2211yescharacteristic
129#16837282C2211yescharacteristic
130#16837282C2211yescharacteristic
131#16837282C2211yescharacteristic, complemented
132#16837282C2211yescharacteristic, complemented
133#16837281C2211yescharacteristic
134#16837281C2211yescharacteristic
135#16837281C2211yescharacteristic
136#16837281C2211yescharacteristic
137#16837281C2211yescharacteristic, complemented
138#16837279C2211yescharacteristic
139#16837279C2211yescharacteristic, complemented
140#16837278C2211yescharacteristic
141#16837278C2211yescharacteristic
142#16837278C2211yescharacteristic
143#16837278C2211yescharacteristic
144#16837278C2211yescharacteristic
145#16837278C2211yescharacteristic
146#16837278C2211yescharacteristic
147#16837278C2211yescharacteristic
148#16837278C2211yescharacteristic, complemented
149#16837278C2211yescharacteristic, complemented
150#16837278C2211yescharacteristic, complemented
151#16837277C2211yescharacteristic, complemented
152#16837277C2211yescharacteristic, complemented
153#16837275C2211yescharacteristic, complemented
154#16837275C2211yescharacteristic, complemented
155#16837275C2211yescharacteristic, complemented
156#16837273C2211yescharacteristic
157#16837273C2211yescharacteristic
158#16837273C2211yescharacteristic
159#16837273C2211yescharacteristic
160#16837273C2211yescharacteristic, complemented
161#16837270C2211yescharacteristic, complemented
162#16837268C2211yescharacteristic, complemented
163#16837265C2211yescharacteristic
164#16837263C2211yescharacteristic
165#16837262C2211yescharacteristic
166#16837262C2211yescharacteristic, complemented
167#16837262C2211yescharacteristic, complemented
168#16837259C2211yescharacteristic
169#16837259C2211yescharacteristic
170#16837257C2211yescharacteristic
171C4×C22⋊Dic59C2211yescharacteristic, complemented
172C2×C59⋊#95C2211yescharacteristic, complemented
173C59×#540—28no—
174C2×#127×C59C2211yescharacteristic
175C2×#125×C59C2211yescharacteristic, complemented
176C2×#123×C59C2211yescharacteristic
177C2×#123×C59C2211yescharacteristic
178C2×#123×C59C2211yescharacteristic, complemented
179C2×#123×C59C2211yescharacteristic, complemented
180C2×#121×C59C2211yescharacteristic
181C2×#121×C59C2211yescharacteristic
182C2×#121×C59C2211yescharacteristic
183C2×#121×C59C2211yescharacteristic, complemented
184C2×#121×C59C2211yescharacteristic, complemented
185C2×#121×C59C2211yescharacteristic, complemented
186C2×C4×D4×C59C2211yescharacteristic
187C2×C4×D4×C59C2211yescharacteristic, complemented
188C2×#117×C59C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C2×#11745685—24no—
191C2×#11745685—42no—
192C2×#11745685—42no—
193C22×Dic118C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
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×D59—24no—
213C22×C4×D59—42no—
214C22×C4×D59—42no—
215C22×C4×D59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219C22×C4×D59C2311yescharacteristic
220#14273723—42no—
221#14273714—42no—
222#14273712—24no—
223#14273709—24no—
224#14273708—42no—
225#14273705—24no—
226#14273704—24no—
227#14273701—42no—
228#14273701—42no—
229#14273700—24no—
230#14273699—24no—
231#14273699—42no—
232#14273699—42no—
233#14273699—42no—
234#14273699—42no—
235#14273698—42no—
236#14273698—42no—
237#14273697—24no—
238#14273695—24no—
239#14273695—42no—
240#14273695—42no—
241#14273695—42no—
242C4×D236—24no—
243C4×C22⋊D59—24no—
244C4×C22⋊D59—24no—
245#14273684—24no—
246C2×C4⋊Dic59C2311yescharacteristic
247C2×C4⋊Dic59C2311yescharacteristic
248C2×C4⋊Dic59C2311yescharacteristic
249C2×C4⋊Dic59C2311yescharacteristic
250C2×C4⋊Dic59C2311yescharacteristic
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×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×C22⋊Dic59C2311yescharacteristic
280C2×C22⋊Dic59C2311yescharacteristic
281C2×C22⋊Dic59C2311yescharacteristic
282C2×C22⋊Dic59C2311yescharacteristic
283C2×C22⋊Dic59C2311yescharacteristic
284C2×C22⋊Dic59C2311yescharacteristic
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
341C22×D4×C59C2311yescharacteristic
342C22×D4×C59C2311yescharacteristic
343C22×D4×C59C2311yescharacteristic
344C22×D4×C59C2311yescharacteristic
345C22×D4×C59C2311yescharacteristic
346C22×D4×C59C2311yescharacteristic
347C22×D4×C59C2311yescharacteristic
348C22×D4×C59C2311yescharacteristic
349C22×D4×C59C2311yescharacteristic
350C22×D4×C59C2311yescharacteristic
351C23×C4×C59C2311yescharacteristic
352C23×C4×C59C2311yescharacteristic
353C23×C4×C59C2311yescharacteristic
354C23×C4×C59C2311yescharacteristic
355C23×C4×C59C2311yescharacteristic
356#127×C59—24no—
357#125×C59—24no—
358#123×C59—24no—
359#123×C59—24no—
360#123×C59—24no—
361#123×C59—24no—
362#121×C59—24no—
363#121×C59—24no—
364#121×C59—24no—
365#121×C59—24no—
366#121×C59—24no—
367#121×C59—24no—
368C4×D4×C59—24no—
369C4×D4×C59D418yescomplemented
370#117×C59—24no—
371C2×C4⋊C4×C59C2311yescharacteristic
372C2×C4⋊C4×C59C2311yescharacteristic
373C2×C4⋊C4×C59C2311yescharacteristic
374C2×C4⋊C4×C59C2311yescharacteristic
375C2×C4⋊C4×C59C2311yescharacteristic
376C2×C4⋊C4×C59C2311yescharacteristic
377C2×C4⋊C4×C59C2311yescharacteristic
378C2×C4⋊C4×C59C2311yescharacteristic
379C2×C22⋊C4×C59C2311yescharacteristic
380C2×C22⋊C4×C59C2311yescharacteristic
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×C42×C59C2311yescharacteristic
390C2×C42×C59C2311yescharacteristic
391C24×C59C2411yescharacteristic
392C24×C59C2411yescharacteristic
393C24×C59C2411yescharacteristic
394C24×C59C2411yescharacteristic
395C24×C59C2411yescharacteristic
396C23×D59—22no—
397C23×D59—22no—
398C23×D59—22no—
399C23×D59—41no—
400C23×D59—41no—
401C23×D59—41no—
402C23×D59—41no—
403C23×D59C2411yescharacteristic
404C23×D59C2411yescharacteristic
405C23×D59C2411yescharacteristic
406C2×D4×C59—22no—
407C2×D4×C59—22no—
408C2×D4×C59—22no—
409C2×D4×C59—22no—
410C2×D4×C59—22no—
411C2×D4×C59—22no—
412C2×D4×C59—22no—
413C2×D4×C59—22no—
414C2×D4×C59—22no—
415C2×D4×C59—41no—
416C2×D4×C59—41no—
417C2×D4×C59—41no—
418C2×D4×C59—41no—
419C2×D4×C59—41no—
420C2×D4×C59—41no—
421C2×D4×C59—41no—
422C2×D4×C59—41no—
423C2×D4×C59—41no—
424C2×D4×C59—41no—
425C2×D4×C59—41no—
426C2×D4×C59—41no—
427C2×D4×C59—41no—
428C2×D4×C59—41no—
429C2×D4×C59—41no—
430C2×D4×C59—41no—
431C2×D4×C59—41no—
432C2×D4×C59—41no—
433C2×D4×C59—41no—
434C2×D4×C59—41no—
435C2×D4×C59C2×D414yes—
436C22×C4×C59—22no—
437C22×C4×C59—22no—
438C22×C4×C59—22no—
439C22×C4×C59—41no—
440C22×C4×C59—41no—
441C22×C4×C59—41no—
442C22×C4×C59—41no—
443C22×C4×C59—41no—
444C22×C4×C59—41no—
445C22×C4×C59—41no—
446C22×C4×C59—41no—
447C22×C4×C59—41no—
448C22×C4×C59—41no—
449C22×C4×C59C2×D414yes—
450C22×C4×C59C2×D414yes—
451C22×C4×C59C2411yescharacteristic
452C22×C4×C59C2411yescharacteristic
453C22×C4×C59C2411yescharacteristic
454C22×C4×C59C2411yescharacteristic
455C22×C4×C59C2411yescharacteristic
456C22×C4×C59C2411yescharacteristic
457C22×C4×C59C2411yescharacteristic
458C22×C4×C59C2411yescharacteristic
459C22×C4×C59C2411yescharacteristic
460C22×C4×C59C2411yescharacteristic
461C2×C22⋊D59—22no—
462C2×C22⋊D59—22no—
463C2×C22⋊D59—22no—
464C2×C22⋊D59—22no—
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—41no—
475C2×C22⋊D59—41no—
476C2×C22⋊D59—41no—
477C2×C22⋊D59—41no—
478C2×C22⋊D59—41no—
479C2×C22⋊D59—41no—
480C2×C22⋊D59—41no—
481C2×C22⋊D59—41no—
482C2×C22⋊D59—41no—
483C2×C22⋊D59—41no—
484C2×C22⋊D59—41no—
485C2×C22⋊D59—41no—
486C2×C22⋊D59—41no—
487C2×C22⋊D59—41no—
488C2×C22⋊D59—41no—
489C2×C22⋊D59—41no—
490C2×C22⋊D59—41no—
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—
500C22×Dic59—22no—
501C22×Dic59—22no—
502C22×Dic59—41no—
503C22×Dic59—41no—
504C22×Dic59—41no—
505C22×Dic59—41no—
506C22×Dic59—41no—
507C22×Dic59—41no—
508C22×Dic59—41no—
509C22×Dic59C2411yescharacteristic
510C22×Dic59C2411yescharacteristic
511C22×Dic59C2411yescharacteristic
512C22×Dic59C2411yescharacteristic
513C22×Dic59C2411yescharacteristic
514C22×Dic59C2411yescharacteristic
515C22×Dic59C2411yescharacteristic
516C22×Dic59C2411yescharacteristic
517C22×Dic59C2411yescharacteristic
518C22×Dic59C2411yescharacteristic
519C22×Dic59C2411yescharacteristic
520C22×Dic59C2411yescharacteristic
521C22×Dic59C2411yescharacteristic
522#11745685—416no—
523C2×D236—22no—
524C2×D236—22no—
525C2×D236—22no—
526C2×D236—22no—
527C2×D236—41no—
528C2×D236—41no—
529C2×C4×D59—22no—
530C2×C4×D59—22no—
531C2×C4×D59—22no—
532C2×C4×D59—22no—
533C2×C4×D59—22no—
534C2×C4×D59—22no—
535C2×C4×D59—22no—
536C2×C4×D59—22no—
537C2×C4×D59—22no—
538C2×C4×D59—416no—
539C2×C4×D59—41no—
540C2×C4×D59—41no—
541C2×C4×D59—41no—
542C2×C4×D59—41no—
543C2×C4×D59—41no—
544C2×C4×D59—41no—
545C2×Dic118—22no—
546C2×Dic118—22no—
547C2×Dic118—41no—
548C4⋊C4×C59—22no—
549C4⋊C4×C59—22no—
550C4⋊C4×C59—22no—
551C4⋊C4×C59—22no—
552C4⋊C4×C59—22no—
553C4⋊C4×C59—22no—
554C4⋊C4×C59—22no—
555C4⋊C4×C59C2×D414yes—
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×C59—22no—
564C22⋊C4×C59C2×D414yes—
565C22⋊C4×C59C2×D414yes—
566C42×C59—22no—
567C42×C59C2×D414yes—
568C22⋊Dic59—22no—
569C22⋊Dic59—22no—
570C22⋊Dic59—22no—
571C22⋊Dic59—22no—
572C22⋊Dic59—22no—
573C22⋊Dic59—41no—
574C22⋊Dic59—41no—
575C22⋊Dic59—41no—
576C22⋊Dic59—41no—
577C22⋊Dic59—41no—
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—41no—
588C22⋊Dic59—41no—
589C22⋊Dic59—41no—
590C22⋊Dic59—41no—
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—41no—
602(C2×D59)⋊C4—41no—
603(C2×D59)⋊C4—41no—
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—
612C4⋊Dic59—22no—
613C4⋊Dic59—41no—
614C4⋊Dic59—41no—
615C4⋊Dic59—41no—
616C4⋊Dic59—41no—
617Dic59⋊C4—22no—
618Dic59⋊C4—22no—
619Dic59⋊C4—22no—
620Dic59⋊C4—22no—
621Dic59⋊C4—22no—
622Dic59⋊C4—41no—
623Dic59⋊C4—41no—
624Dic59⋊C4—41no—
625Dic59⋊C4—41no—
626Dic59⋊C4—41no—
627Dic59⋊C4—41no—
628C4×Dic59—22no—
629C4×Dic59—41no—
630C4×Dic59—41no—
631C23×C59—21no—
632C23×C59—21no—
633C23×C59—21no—
634C23×C59—21no—
635C23×C59—21no—
636C23×C59—21no—
637C23×C59—21no—
638C23×C59—21no—
639C23×C59—21no—
640C23×C59—21no—
641C23×C59—21no—
642C23×C59—21no—
643C23×C59—21no—
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×C59C22×D412yes—
665C23×C59C22×D412yes—
666C23×C59C2511yescharacteristic
667C22×D59—21no—
668C22×D59—21no—
669C22×D59—21no—
670C22×D59—21no—
671C22×D59—21no—
672C22×D59—21no—
673C22×D59—21no—
674C22×D59—21no—
675C22×D59—21no—
676C22×D59—21no—
677C22×D59—21no—
678C22×D59—21no—
679C22×D59—21no—
680C22×D59—21no—
681C22×D59—21no—
682C22×D59—21no—
683C22×D59—21no—
684C22×D59—21no—
685C22×D59—21no—
686C22×D59—44no—
687C22×D59—44no—
688C22×D59—44no—
689C22×D59—44no—
690C22×D59—44no—
691C22×D59—44no—
692C22×D59—44no—
693C22×D59H(5,𝔽2)12yes—
694C22×D59H(5,𝔽2)12yes—
695D4×C59—44no—
696D4×C59—44no—
697D4×C59—82no—
698D4×C59—82no—
699D4×C59—82no—
700D4×C59—82no—
701D4×C59—82no—
702D4×C59—82no—
703D4×C59—82no—
704D4×C59—82no—
705C2×C4×C59—21no—
706C2×C4×C59—21no—
707C2×C4×C59—21no—
708C2×C4×C59—21no—
709C2×C4×C59—21no—
710C2×C4×C59—21no—
711C2×C4×C59—21no—
712C2×C4×C59—21no—
713C2×C4×C59—21no—
714C2×C4×C59—21no—
715C2×C4×C59—21no—
716C2×C4×C59—21no—
717C2×C4×C59—21no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
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—44no—
731C2×C4×C59—44no—
732C2×C4×C59—44no—
733C2×C4×C59—82no—
734C2×C4×C59—82no—
735C2×C4×C59C22×D412yes—
736C2×C4×C59C22×D412yes—
737C2×C4×C59C22×D412yes—
738C2×C4×C59C22×D412yes—
739C2×C4×C59C22×D412yes—
740C22⋊D59—44no—
741C22⋊D59—44no—
742C22⋊D59—44no—
743C22⋊D59—44no—
744C22⋊D59—82no—
745C22⋊D59—82no—
746C22⋊D59—82no—
747C22⋊D59—82no—
748C22⋊D59—82no—
749C22⋊D59—82no—
750C22⋊D59—82no—
751C22⋊D59—82no—
752C22⋊D59—82no—
753C2×Dic59—21no—
754C2×Dic59—21no—
755C2×Dic59—21no—
756C2×Dic59—21no—
757C2×Dic59—21no—
758C2×Dic59—21no—
759C2×Dic59—21no—
760C2×Dic59—21no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—21no—
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—21no—
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—44no—
792C2×Dic59—82no—
793C2×Dic59—82no—
794C2×Dic59H(5,𝔽2)12yes—
795D236—44no—
796D236—44no—
797C4×D59—28no—
798C4×D59—44no—
799C4×D59—44no—
800C4×D59—44no—
801C4×D59—44no—
802Dic118—44no—
803#36713—591nomaximal, Sylow
804C22×C59—22no—
805C22×C59—22no—
806C22×C59—22no—
807C22×C59—22no—
808C22×C59—22no—
809C22×C59—22no—
810C22×C59—41no—
811C22×C59—41no—
812C22×C59—41no—
813C22×C59—41no—
814C22×C59—41no—
815C22×C59—41no—
816C22×C59—41no—
817C22×C59—41no—
818C22×C59—41no—
819C22×C59—41no—
820C22×C59—41no—
821C22×C59—41no—
822C22×C59—41no—
823C22×C59—41no—
824C22×C59—41no—
825C22×C59—41no—
826C22×C59—41no—
827C22×C59—41no—
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×C59C23×D411yescharacteristic
840C22×C59C2×H(5,𝔽2)11yescharacteristic
841C22×C59C2×H(5,𝔽2)11yescharacteristic
842C22×C59C2×H(5,𝔽2)11yescharacteristic
843C22×C59#58511yescharacteristic
844C22×C59#58511yescharacteristic
845C22×C59#58511yescharacteristic
846C2×D59—22no—
847C2×D59—22no—
848C2×D59—22no—
849C2×D59—22no—
850C2×D59—22no—
851C2×D59—22no—
852C2×D59—416no—
853C2×D59—41no—
854C2×D59—41no—
855C2×D59—41no—
856C2×D59—41no—
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—41no—
866C2×D59—41no—
867C2×D59—41no—
868C4×C59—22no—
869C4×C59—22no—
870C4×C59—22no—
871C4×C59—22no—
872C4×C59—22no—
873C4×C59—41no—
874C4×C59—41no—
875C4×C59—41no—
876C4×C59—41no—
877C4×C59—41no—
878Dic59—22no—
879Dic59—41no—
880Dic59—41no—
881Dic59—41no—
882Dic59—41no—
883Dic59—41no—
884Dic59—41no—
885Dic59—41no—
886Dic59—41no—
887Dic59—41no—
888Dic59—41no—
889Dic59—41no—
890Dic59—41no—
891C2×#540D5911yescharacteristic, complemented
892C2×#525—591no—
893#2849—591no—
894#2847—591no—
895#2694—591no—
896#2693—591no—
897#2690—591no—
898#2688—591no—
899#2687—591no—
900#2678—591no—
901#2676—591no—
902#2675—591no—
903#2673—591no—
904#2673—591no—
905#2672—591no—
906#2671—591no—
907#2671—591no—
908#2669—591no—
909#2669—591no—
910#2668—591no—
911#2635—591no—
912#2630—591no—
913#2609—591no—
914#2602—591no—
915#2598—591no—
916#2598—591no—
917#2543—591no—
918#2535—591no—
919#2431—591no—
920#2430—591no—
921#2318—591no—
922C2×C59—42no—
923C2×C59—42no—
924C2×C59—81no—
925C2×C59—81no—
926C2×C59—81no—
927C2×C59#344911yescharacteristic
928C2×C59#348411yescharacteristic
929C2×C59#348811yescharacteristic
930C2×C59#353311yescharacteristic
931C2×C59#353411yescharacteristic
932C2×C59#353911yescharacteristic
933C2×C59#354211yescharacteristic
934D59—42no—
935D59—42no—
936D59—81no—
937C22×#41—591no—
938C24×C4—591no—
939#540—28no—
940C2×#127—591no—
941C2×#127C2×D5911yescharacteristic
942C2×#125C2×D5911yescharacteristic, complemented
943C2×#124—591no—
944#525—1188no—
945C2×#123—591no—
946C2×#123—591no—
947C2×#123—591no—
948C2×#123C2×D5911yescharacteristic
949C2×#123C2×D5911yescharacteristic
950C2×#123C2×D5911yescharacteristic, complemented
951C2×#123C2×D5911yescharacteristic, complemented
952C2×C22⋊Q8—591no—
953C2×C22⋊Q8—591no—
954C2×#121—591no—
955C2×#121—591no—
956C2×#121—591no—
957C2×#121—591no—
958C2×#121—591no—
959C2×#121—591no—
960C2×#121—591no—
961C2×#121—591no—
962C2×#121—591no—
963C2×#121—591no—
964C2×#121C2×D5911yescharacteristic
965C2×#121C2×D5911yescharacteristic
966C2×#121C2×D5911yescharacteristic
967C2×#121C2×D5911yescharacteristic, complemented
968C2×#121C2×D5911yescharacteristic, complemented
969C2×#121C2×D5911yescharacteristic, complemented
970C2×#120—591no—
971C2×#120—591no—
972C2×#120—591no—
973C2×#120—591no—
974C2×#120—591no—
975C2×C4×D4—591no—
976C2×C4×D4—591no—
977C2×C4×D4—591no—
978C2×C4×D4C2×D5911yescharacteristic
979C2×C4×D4C2×D5911yescharacteristic, complemented
980C2×#117—591no—
981C2×#117C2×D5911yescharacteristic, complemented
982#400—591no—
983#400—591no—
984#400—591no—
985#399—591no—
986#399—591no—
987#399—591no—
988#398—591no—
989#398—591no—
990#398—591no—
991#397—591no—
992#397—591no—
993#397—591no—
994#397—591no—
995#397—591no—
996#396—591no—
997#396—591no—
998#396—591no—
999#396—591no—
1000#395—591no—
1001#394—591no—
1002#394—591no—
1003#394—591no—
1004#394—591no—
1005#394—591no—
1006#394—591no—
1007#394—591no—
1008#394—591no—
1009#394—591no—
1010#394—591no—
1011#394—591no—
1012#394—591no—
1013#394—591no—
1014#393—591no—
1015#392—591no—
1016#392—591no—
1017#392—591no—
1018#392—591no—
1019#392—591no—
1020#392—591no—
1021#392—591no—
1022#392—591no—
1023#392—591no—
1024#392—591no—
1025#392—591no—
1026#392—591no—
1027#392—591no—
1028#392—591no—
1029#392—591no—
1030#391—591no—
1031#390—591no—
1032#390—591no—
1033#389—591no—
1034#388—591no—
1035#388—591no—
1036#388—591no—
1037#388—591no—
1038#388—591no—
1039#388—591no—
1040#388—591no—
1041#388—591no—
1042#388—591no—
1043#388—591no—
1044#387—591no—
1045#387—591no—
1046#387—591no—
1047#387—591no—
1048#386—591no—
1049#386—591no—
1050#386—591no—
1051#386—591no—
1052#386—591no—
1053#386—591no—
1054#386—591no—
1055#386—591no—
1056#386—591no—
1057#386—591no—
1058#386—591no—
1059#386—591no—
1060#386—591no—
1061#386—591no—
1062#386—591no—
1063#386—591no—
1064#386—591no—
1065#386—591no—
1066#386—591no—
1067#386—591no—
1068#386—591no—
1069#386—591no—
1070#386—591no—
1071#386—591no—
1072#385—591no—
1073#385—591no—
1074#385—591no—
1075#385—591no—
1076#385—591no—
1077#385—591no—
1078#385—591no—
1079#385—591no—
1080#385—591no—
1081#385—591no—
1082#383—591no—
1083#382—591no—
1084#381—591no—
1085#381—591no—
1086#380—591no—
1087#380—591no—
1088#380—591no—
1089#380—591no—
1090#380—591no—
1091#379—591no—
1092C4×C22⋊C4—591no—
1093C2×#95—591no—
1094C59#3671311yescharacteristic, complemented, Sylow
1095C25—591no—
1096C2×#41—1184no—
1097C2×#41—2362no—
1098C2×#41—2362no—
1099C22×Q8—591no—
1100C22×D4—591no—
1101C22×D4—591no—
1102C22×D4—591no—
1103C22×D4—591no—
1104C22×D4—591no—
1105C22×D4—591no—
1106C22×D4—591no—
1107C22×D4—591no—
1108C22×D4—591no—
1109C22×D4—591no—
1110C22×D4—591no—
1111C22×D4—591no—
1112C22×D4—591no—
1113C22×D4—591no—
1114C22×D4—591no—
1115C22×D4C22×D5911yescharacteristic
1116C22×D4C22×D5911yescharacteristic
1117C22×D4C22×D5911yescharacteristic
1118C22×D4C22×D5911yescharacteristic
1119C22×D4C22×D5911yescharacteristic
1120C22×D4C22×D5911yescharacteristic
1121C22×D4C22×D5911yescharacteristic
1122C22×D4C22×D5911yescharacteristic
1123C22×D4C22×D5911yescharacteristic
1124C22×D4C22×D5911yescharacteristic
1125C23×C4—591no—
1126C23×C4—591no—
1127C23×C4—591no—
1128C23×C4—591no—
1129C23×C4—591no—
1130C23×C4—591no—
1131C23×C4—591no—
1132C23×C4—591no—
1133C23×C4—1184no—
1134C23×C4—2362no—
1135C23×C4—2362no—
1136C23×C4C22×D5911yescharacteristic
1137C23×C4C22×D5911yescharacteristic
1138C23×C4C22×D5911yescharacteristic
1139C23×C4C22×D5911yescharacteristic
1140C23×C4C22×D5911yescharacteristic
1141#127—24no—
1142#127—2362no—
1143#125—24no—
1144#124—2362no—
1145#123—24no—
1146#123—24no—
1147#123—24no—
1148#123—24no—
1149#123—1184no—
1150#123—1184no—
1151#123—2362no—
1152C22⋊Q8—1184no—
1153C22⋊Q8—1184no—
1154#121—24no—
1155#121—24no—
1156#121—24no—
1157#121—24no—
1158#121—24no—
1159#121—24no—
1160#121—1184no—
1161#121—1184no—
1162#121—2362no—
1163#121—2362no—
1164#121—2362no—
1165#121—2362no—
1166#121—2362no—
1167#121—2362no—
1168#121—2362no—
1169#121—2362no—
1170#120—1184no—
1171#120—1184no—
1172#120—2362no—
1173#120—2362no—
1174#120—2362no—
1175C4×D4—24no—
1176C4×D4—1184no—
1177C4×D4—1184no—
1178C4×D4—1184no—
1179C4×D4C22⋊D5918yescomplemented
1180#117—24no—
1181#117—1184no—
1182C2×C4⋊C4—591no—
1183C2×C4⋊C4—591no—
1184C2×C4⋊C4—591no—
1185C2×C4⋊C4—591no—
1186C2×C4⋊C4—591no—
1187C2×C4⋊C4—591no—
1188C2×C4⋊C4—591no—
1189C2×C4⋊C4—591no—
1190C2×C4⋊C4—591no—
1191C2×C4⋊C4—591no—
1192C2×C4⋊C4—591no—
1193C2×C4⋊C4—591no—
1194C2×C4⋊C4—591no—
1195C2×C4⋊C4—591no—
1196C2×C4⋊C4—591no—
1197C2×C4⋊C4—591no—
1198C2×C4⋊C4C22×D5911yescharacteristic
1199C2×C4⋊C4C22×D5911yescharacteristic
1200C2×C4⋊C4C22×D5911yescharacteristic
1201C2×C4⋊C4C22×D5911yescharacteristic
1202C2×C4⋊C4C22×D5911yescharacteristic
1203C2×C4⋊C4C22×D5911yescharacteristic
1204C2×C4⋊C4C22×D5911yescharacteristic
1205C2×C4⋊C4C22×D5911yescharacteristic
1206C2×C22⋊C4—591no—
1207C2×C22⋊C4—591no—
1208C2×C22⋊C4—591no—
1209C2×C22⋊C4—591no—
1210C2×C22⋊C4—591no—
1211C2×C22⋊C4—591no—
1212C2×C22⋊C4—591no—
1213C2×C22⋊C4—591no—
1214C2×C22⋊C4—591no—
1215C2×C22⋊C4—591no—
1216C2×C22⋊C4—591no—
1217C2×C22⋊C4—591no—
1218C2×C22⋊C4—591no—
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⋊C4C22×D5911yescharacteristic
1251C2×C22⋊C4C22×D5911yescharacteristic
1252C2×C22⋊C4C22×D5911yescharacteristic
1253C2×C22⋊C4C22×D5911yescharacteristic
1254C2×C22⋊C4C22×D5911yescharacteristic
1255C2×C22⋊C4C22×D5911yescharacteristic
1256C2×C22⋊C4C22×D5911yescharacteristic
1257C2×C22⋊C4C22×D5911yescharacteristic
1258C2×C22⋊C4C22×D5911yescharacteristic
1259C2×C22⋊C4C22×D5911yescharacteristic
1260C2×C42—591no—
1261C2×C42—591no—
1262C2×C42—591no—
1263C2×C42C22×D5911yescharacteristic
1264C2×C42C22×D5911yescharacteristic
1265#95—591no—
1266#95—591no—
1267#95—591no—
1268#95—591no—
1269#95—591no—
1270#95—591no—
1271#95—591no—
1272#95—591no—
1273#95—591no—
1274#95—591no—
1275#95—591no—
1276#95—591no—
1277#95—591no—
1278#95—591no—
1279#95—591no—
1280#95—591no—
1281#95—591no—
1282#95—591no—
1283#95—591no—
1284#95—591no—
1285#95—591no—
1286#95—591no—
1287#95—591no—
1288#95—591no—
1289#95—591no—
1290#95—591no—
1291#95—591no—
1292#95—591no—
1293#95—591no—
1294#95—591no—
1295#95—591no—
1296#95—591no—
1297C24—591no—
1298C24—591no—
1299C24—591no—
1300C24—1182no—
1301C24—1182no—
1302C24—1182no—
1303C24—2361no—
1304C24—2361no—
1305C24—2361no—
1306C24—2361no—
1307C24C23×D5911yescharacteristic
1308C24C23×D5911yescharacteristic
1309C24C23×D5911yescharacteristic
1310C24C23×D5911yescharacteristic
1311C24C23×D5911yescharacteristic
1312#41—23616no—
1313C2×Q8—1182no—
1314C2×Q8—1182no—
1315C2×Q8—2361no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—22no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—1182no—
1346C2×D4—1182no—
1347C2×D4—1182no—
1348C2×D4—1182no—
1349C2×D4—1182no—
1350C2×D4—1182no—
1351C2×D4—1182no—
1352C2×D4—1182no—
1353C2×D4—1182no—
1354C2×D4—1182no—
1355C2×D4—1182no—
1356C2×D4—1182no—
1357C2×D4—1182no—
1358C2×D4—1182no—
1359C2×D4—1182no—
1360C2×D4—1182no—
1361C2×D4—1182no—
1362C2×D4—2361no—
1363C2×D4—2361no—
1364C2×D4—2361no—
1365C2×D4—2361no—
1366C2×D4—2361no—
1367C2×D4—2361no—
1368C2×D4—2361no—
1369C2×D4—2361no—
1370C2×D4—2361no—
1371C2×D4—2361no—
1372C2×D4—2361no—
1373C2×D4—2361no—
1374C2×D4—2361no—
1375C2×D4—2361no—
1376C2×D4—2361no—
1377C2×D4—2361no—
1378C2×D4—2361no—
1379C2×D4—2361no—
1380C2×D4—2361no—
1381C2×D4—2361no—
1382C2×D4—2361no—
1383C2×D4—2361no—
1384C2×D4—2361no—
1385C2×D4—2361no—
1386C2×D4—2361no—
1387C2×D4—2361no—
1388C2×D4—2361no—
1389C2×D4—2361no—
1390C2×D4C2×C22⋊D5914yes—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—41no—
1399C22×C4—41no—
1400C22×C4—41no—
1401C22×C4—41no—
1402C22×C4—41no—
1403C22×C4—41no—
1404C22×C4—591no—
1405C22×C4—591no—
1406C22×C4—591no—
1407C22×C4—591no—
1408C22×C4—591no—
1409C22×C4—591no—
1410C22×C4—591no—
1411C22×C4—591no—
1412C22×C4—591no—
1413C22×C4—591no—
1414C22×C4—591no—
1415C22×C4—591no—
1416C22×C4—591no—
1417C22×C4—1182no—
1418C22×C4—1182no—
1419C22×C4—1182no—
1420C22×C4—1182no—
1421C22×C4—1182no—
1422C22×C4—1182no—
1423C22×C4—1182no—
1424C22×C4—1182no—
1425C22×C4—1182no—
1426C22×C4—1182no—
1427C22×C4—1182no—
1428C22×C4—2361no—
1429C22×C4—2361no—
1430C22×C4—2361no—
1431C22×C4—2361no—
1432C22×C4—2361no—
1433C22×C4—2361no—
1434C22×C4—23616no—
1435C22×C4—2361no—
1436C22×C4—2361no—
1437C22×C4—2361no—
1438C22×C4—2361no—
1439C22×C4—2361no—
1440C22×C4—2361no—
1441C22×C4—2361no—
1442C22×C4C2×C22⋊D5914yes—
1443C22×C4C2×C22⋊D5914yes—
1444C22×C4C23×D5911yescharacteristic
1445C22×C4C23×D5911yescharacteristic
1446C22×C4C23×D5911yescharacteristic
1447C22×C4C23×D5911yescharacteristic
1448C22×C4C23×D5911yescharacteristic
1449C22×C4C23×D5911yescharacteristic
1450C22×C4C23×D5911yescharacteristic
1451C22×C4C23×D5911yescharacteristic
1452C22×C4C23×D5911yescharacteristic
1453C22×C4C23×D5911yescharacteristic
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—22no—
1459C4⋊C4—22no—
1460C4⋊C4—22no—
1461C4⋊C4—1182no—
1462C4⋊C4—1182no—
1463C4⋊C4—1182no—
1464C4⋊C4—1182no—
1465C4⋊C4—1182no—
1466C4⋊C4—1182no—
1467C4⋊C4—2361no—
1468C4⋊C4—2361no—
1469C4⋊C4—2361no—
1470C4⋊C4—2361no—
1471C4⋊C4—2361no—
1472C4⋊C4—2361no—
1473C4⋊C4—2361no—
1474C4⋊C4—2361no—
1475C4⋊C4—2361no—
1476C4⋊C4—2361no—
1477C4⋊C4C2×C22⋊D5914yes—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—22no—
1485C22⋊C4—22no—
1486C22⋊C4—1182no—
1487C22⋊C4—1182no—
1488C22⋊C4—1182no—
1489C22⋊C4—1182no—
1490C22⋊C4—1182no—
1491C22⋊C4—1182no—
1492C22⋊C4—1182no—
1493C22⋊C4—1182no—
1494C22⋊C4—1182no—
1495C22⋊C4—1182no—
1496C22⋊C4—1182no—
1497C22⋊C4—1182no—
1498C22⋊C4—1182no—
1499C22⋊C4—1182no—
1500C22⋊C4—1182no—
1501C22⋊C4—2361no—
1502C22⋊C4—2361no—
1503C22⋊C4—2361no—
1504C22⋊C4—2361no—
1505C22⋊C4—2361no—
1506C22⋊C4—2361no—
1507C22⋊C4—2361no—
1508C22⋊C4—2361no—
1509C22⋊C4—2361no—
1510C22⋊C4—2361no—
1511C22⋊C4—2361no—
1512C22⋊C4—2361no—
1513C22⋊C4—2361no—
1514C22⋊C4—2361no—
1515C22⋊C4—2361no—
1516C22⋊C4—2361no—
1517C22⋊C4—2361no—
1518C22⋊C4—2361no—
1519C22⋊C4—2361no—
1520C22⋊C4—2361no—
1521C22⋊C4—2361no—
1522C22⋊C4—2361no—
1523C22⋊C4—2361no—
1524C22⋊C4—2361no—
1525C22⋊C4—2361no—
1526C22⋊C4—2361no—
1527C22⋊C4—2361no—
1528C22⋊C4—2361no—
1529C22⋊C4—2361no—
1530C22⋊C4C2×C22⋊D5914yes—
1531C22⋊C4C2×C22⋊D5914yes—
1532C42—22no—
1533C42—1182no—
1534C42—2361no—
1535C42—2361no—
1536C42C2×C22⋊D5914yes—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—592no—
1571C23—592no—
1572C23—1181no—
1573C23—1181no—
1574C23—1181no—
1575C23—1181no—
1576C23—1181no—
1577C23—1181no—
1578C23—1181no—
1579C23—1181no—
1580C23—1181no—
1581C23—1181no—
1582C23—1181no—
1583C23—1181no—
1584C23—1181no—
1585C23—1181no—
1586C23—1181no—
1587C23—1181no—
1588C23—1181no—
1589C23—1181no—
1590C23—1181no—
1591C23—2364no—
1592C23—2364no—
1593C23—2364no—
1594C23—2364no—
1595C23—2364no—
1596C23—2364no—
1597C23—2364no—
1598C23C22×C22⋊D5912yes—
1599C23C22×C22⋊D5912yes—
1600C23C24×D5911yescharacteristic
1601Q8—2364no—
1602D4—44no—
1603D4—44no—
1604D4—82no—
1605D4—82no—
1606D4—82no—
1607D4—82no—
1608D4—82no—
1609D4—82no—
1610D4—82no—
1611D4—82no—
1612D4—4722no—
1613D4—4722no—
1614D4—4722no—
1615D4—4722no—
1616D4—4722no—
1617D4—4722no—
1618D4—4722no—
1619D4—4722no—
1620D4—4722no—
1621D4—2364no—
1622D4—2364no—
1623D4—2364no—
1624D4—2364no—
1625D4—2364no—
1626D4—2364no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—44no—
1653C2×C4—44no—
1654C2×C4—44no—
1655C2×C4—82no—
1656C2×C4—82no—
1657C2×C4—592no—
1658C2×C4—1188no—
1659C2×C4—1181no—
1660C2×C4—1181no—
1661C2×C4—1181no—
1662C2×C4—1181no—
1663C2×C4—1181no—
1664C2×C4—1181no—
1665C2×C4—1181no—
1666C2×C4—1181no—
1667C2×C4—1181no—
1668C2×C4—1181no—
1669C2×C4—1181no—
1670C2×C4—1181no—
1671C2×C4—1181no—
1672C2×C4—1181no—
1673C2×C4—1181no—
1674C2×C4—1181no—
1675C2×C4—1181no—
1676C2×C4—1181no—
1677C2×C4—1181no—
1678C2×C4—1181no—
1679C2×C4—1181no—
1680C2×C4—1181no—
1681C2×C4—1181no—
1682C2×C4—1181no—
1683C2×C4—1181no—
1684C2×C4—1181no—
1685C2×C4—1181no—
1686C2×C4—1181no—
1687C2×C4—1181no—
1688C2×C4—1181no—
1689C2×C4—1181no—
1690C2×C4—1181no—
1691C2×C4—1181no—
1692C2×C4—1181no—
1693C2×C4—1181no—
1694C2×C4—1181no—
1695C2×C4—1181no—
1696C2×C4—1181no—
1697C2×C4—4722no—
1698C2×C4—4722no—
1699C2×C4—2364no—
1700C2×C4—2364no—
1701C2×C4—2364no—
1702C2×C4—2364no—
1703C2×C4—2364no—
1704C2×C4C22×C22⋊D5912yes—
1705C2×C4C22×C22⋊D5912yes—
1706C2×C4C22×C22⋊D5912yes—
1707C2×C4C22×C22⋊D5912yes—
1708C2×C4C22×C22⋊D5912yes—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—1182no—
1745C22—1182no—
1746C22—1182no—
1747C22—1182no—
1748C22—1182no—
1749C22—1182no—
1750C22—23616no—
1751C22—2361no—
1752C22—2361no—
1753C22—2361no—
1754C22—2361no—
1755C22—2361no—
1756C22—2361no—
1757C22—2361no—
1758C22—2361no—
1759C22—2361no—
1760C22—2361no—
1761C22—2361no—
1762C22—2361no—
1763C22—2361no—
1764C22—2361no—
1765C22—2361no—
1766C22C23×C22⋊D5911yescharacteristic
1767C22H(5,𝔽2)×D5911yescharacteristic
1768C22H(5,𝔽2)×D5911yescharacteristic
1769C22H(5,𝔽2)×D5911yescharacteristic
1770C22#1683823711yescharacteristic
1771C22#1683823811yescharacteristic
1772C22#1683823811yescharacteristic
1773C4—22no—
1774C4—22no—
1775C4—22no—
1776C4—22no—
1777C4—22no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—1182no—
1784C4—2361no—
1785C4—2361no—
1786C4—2361no—
1787C4—2361no—
1788C4—2361no—
1789C4—2361no—
1790C4—2361no—
1791C4—2361no—
1792C4—2361no—
1793C4—2361no—
1794C4—2361no—
1795C4—2361no—
1796C2—42no—
1797C2—42no—
1798C2—81no—
1799C2—81no—
1800C2—81no—
1801C2—4721no—
1802C2—2362no—
1803C2—2362no—
1804C2#2143742511yescharacteristic
1805C2#2143772711yescharacteristic
1806C2#2143775811yescharacteristic
1807C2#2143825611yescharacteristic
1808C2#2143827911yescharacteristic
1809C2#2143834811yescharacteristic
1810C2#2143840311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC2×C59×#540C2
hypercenterC2×#540D59
hypocenterC59#36713
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#540

Complements

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

NH ≅ G/Ntype
1. C2×#16837911C2semidirect
2. #21432385C2semidirect
3. #21432375C2semidirect
4. #21430610C2semidirect
5. #21430601C2semidirect
6. #21430556C2semidirect
7. #21430526C2semidirect
8. #21430511C2semidirect
9. #21430415C2semidirect
10. #21430391C2semidirect
11. #21430386C2semidirect
12. #21430357C2semidirect
13. #21430356C2semidirect
14. #21430341C2semidirect
15. #21430332C2semidirect
16. #21430327C2semidirect
17. #21430309C2semidirect
18. #21430308C2semidirect
19. #21430299C2semidirect
20. #21429981C2semidirect
21. #21429935C2semidirect
22. #21429768C2semidirect
23. #21429710C2semidirect
24. #21429662C2semidirect
25. #21429656C2semidirect
26. #21429058C2semidirect
27. #21428997C2semidirect
28. #21427716C2semidirect
29. #21427708C2semidirect
30. #21426729C2semidirect
31. C2×C59×#540C2semidirect
35. C2×#14273714C22semidirect
49. C2×#14273699C22semidirect
61. #16837341C22semidirect
62. #16837340C22semidirect
63. #16837340C22semidirect
64. #16837338C22semidirect
66. #16837337C22semidirect
67. #16837335C22semidirect
68. #16837335C22semidirect
69. #16837333C22semidirect
71. #16837330C22semidirect
74. #16837328C22semidirect
75. #16837325C22semidirect
76. #16837325C22semidirect
78. #16837324C22semidirect
79. #16837322C22semidirect
83. #16837318C22semidirect
89. #16837316C22semidirect
90. #16837316C22semidirect
91. #16837316C22semidirect
92. #16837316C22semidirect
93. #16837314C22semidirect
105. #16837310C22semidirect
106. #16837310C22semidirect
107. #16837310C22semidirect
108. #16837310C22semidirect
109. #16837307C22semidirect
112. #16837297C22semidirect
113. #16837296C22semidirect
118. #16837293C22semidirect
120. #16837290C22semidirect
121. #16837290C22semidirect
122. #16837290C22semidirect
123. #16837288C22semidirect
124. #16837288C22semidirect
125. #16837286C22semidirect
126. #16837283C22semidirect
131. #16837282C22semidirect
132. #16837282C22semidirect
137. #16837281C22semidirect
139. #16837279C22semidirect
148. #16837278C22semidirect
149. #16837278C22semidirect
150. #16837278C22semidirect
151. #16837277C22semidirect
152. #16837277C22semidirect
153. #16837275C22semidirect
154. #16837275C22semidirect
155. #16837275C22semidirect
160. #16837273C22semidirect
161. #16837270C22semidirect
162. #16837268C22semidirect
166. #16837262C22semidirect
167. #16837262C22semidirect
171. C4×C22⋊Dic59C22semidirect
172. C2×C59⋊#95C22semidirect
175. C2×#125×C59C22semidirect
178. C2×#123×C59C22semidirect
179. C2×#123×C59C22semidirect
183. C2×#121×C59C22semidirect
184. C2×#121×C59C22semidirect
185. C2×#121×C59C22semidirect
187. C2×C4×D4×C59C22semidirect
188. C2×#117×C59C22semidirect
369. C4×D4×C59D4semidirect
891. C2×#540D59semidirect
942. C2×#125C2×D59semidirect
950. C2×#123C2×D59semidirect
951. C2×#123C2×D59semidirect
967. C2×#121C2×D59semidirect
968. C2×#121C2×D59semidirect
969. C2×#121C2×D59semidirect
979. C2×C4×D4C2×D59semidirect
981. C2×#117C2×D59semidirect
1094. C59#36713semidirect
1179. C4×D4C22⋊D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168379112
#214323852
#214323752
#214306102
#214306012
#214305562
#214305262
#214305112
#214304152
#214303912
#214303862
#214303572
#214303562
#214303412
#214303322
#214303272
#214303092
#214303082
#214302992
#214299812
#214299352
#214297682
#214297102
#214296622
#214296562
#214290582
#214289972
#214277162
#214277082
#214267292
C2×C59×#5402
#3671359