Finite Group Databasebeta

← #28797016

Subgroups — #28797016

Order 15104.

2454 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432378C211yesmaximal, characteristic, complemented
2#21431718C211yesmaximal, characteristic, complemented
3#21431708C211yesmaximal, characteristic, complemented
4#21431473C211yesmaximal, characteristic, complemented
5#21431337C211yesmaximal, characteristic, complemented
6#21431320C211yesmaximal, characteristic, complemented
7#21431315C211yesmaximal, characteristic, complemented
8#21431235C211yesmaximal, characteristic, complemented
9#21430733C211yesmaximal, characteristic, complemented
10#21430655C211yesmaximal, characteristic, complemented
11#21430642C211yesmaximal, characteristic, complemented
12#21430532C211yesmaximal, characteristic, complemented
13#21430527C211yesmaximal, characteristic, complemented
14#21430473C211yesmaximal, characteristic, complemented
15#21430415C211yesmaximal, characteristic, complemented
16#21430400C211yesmaximal, characteristic, complemented
17#21430302C211yesmaximal, characteristic, complemented
18#21430052C211yesmaximal, characteristic, complemented
19#21430026C211yesmaximal, characteristic, complemented
20#21428660C211yesmaximal, characteristic, complemented
21#21428219C211yesmaximal, characteristic, complemented
22#21427850C211yesmaximal, characteristic, complemented
23#21427760C211yesmaximal, characteristic, complemented
24#21427628C211yesmaximal, characteristic, complemented
25#21427472C211yesmaximal, characteristic, complemented
26#21427469C211yesmaximal, characteristic, complemented
27#21427407C211yesmaximal, characteristic, complemented
28#21426753C211yesmaximal, characteristic, complemented
29#21426670C211yesmaximal, characteristic, complemented
30C2×#16837281C211yesmaximal, characteristic, complemented
31C59×#2849C211yesmaximal, characteristic, complemented
32C23×C22⋊D59C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34C2×#14273713C2211yescharacteristic, complemented
35C2×#14273707C2211yescharacteristic, complemented
36C2×#14273704C2211yescharacteristic, complemented
37C2×#14273701C2211yescharacteristic
38C2×#14273701C2211yescharacteristic, complemented
39C2×#14273701C2211yescharacteristic, complemented
40C2×#14273700C2211yescharacteristic, complemented
41C2×#14273700C2211yescharacteristic, complemented
42C2×#14273699C2211yescharacteristic
43C2×#14273698C2211yescharacteristic, complemented
44C2×#14273697C2211yescharacteristic
45C2×#14273697C2211yescharacteristic, complemented
46C2×#14273696C2211yescharacteristic
47C2×#14273696C2211yescharacteristic, complemented
48C2×#14273695C2211yescharacteristic
49C2×#14273695C2211yescharacteristic
50C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
51C22×C22⋊Dic59C2211yescharacteristic, complemented
52C22×(C2×D59)⋊C4C2211yescharacteristic
53C22×(C2×D59)⋊C4C2211yescharacteristic
54C2×C22⋊C4×D59C2211yescharacteristic
55C59⋊#401C2211yescharacteristic, complemented
56C59⋊#401C2211yescharacteristic, complemented
57#16837344C2211yescharacteristic, complemented
58#16837344C2211yescharacteristic, complemented
59#16837344C2211yescharacteristic, complemented
60#16837344C2211yescharacteristic, complemented
61#16837343C2211yescharacteristic, complemented
62#16837341C2211yescharacteristic, complemented
63#16837340C2211yescharacteristic, complemented
64#16837339C2211yescharacteristic, complemented
65#16837331C2211yescharacteristic, complemented
66#16837331C2211yescharacteristic, complemented
67#16837331C2211yescharacteristic, complemented
68#16837330C2211yescharacteristic, complemented
69#16837330C2211yescharacteristic, complemented
70#16837330C2211yescharacteristic, complemented
71#16837329C2211yescharacteristic, complemented
72#16837328C2211yescharacteristic, complemented
73#16837328C2211yescharacteristic, complemented
74#16837327C2211yescharacteristic, complemented
75#16837325C2211yescharacteristic, complemented
76#16837324C2211yescharacteristic, complemented
77#16837324C2211yescharacteristic, complemented
78#16837324C2211yescharacteristic, complemented
79#16837320C2211yescharacteristic, complemented
80#16837319C2211yescharacteristic, complemented
81#16837318C2211yescharacteristic, complemented
82#16837318C2211yescharacteristic, complemented
83#16837318C2211yescharacteristic, complemented
84#16837318C2211yescharacteristic, complemented
85#16837317C2211yescharacteristic
86#16837317C2211yescharacteristic
87#16837317C2211yescharacteristic, complemented
88#16837317C2211yescharacteristic, complemented
89#16837316C2211yescharacteristic, complemented
90#16837315C2211yescharacteristic, complemented
91#16837315C2211yescharacteristic, complemented
92#16837314C2211yescharacteristic, complemented
93#16837314C2211yescharacteristic, complemented
94#16837312C2211yescharacteristic, complemented
95#16837311C2211yescharacteristic
96#16837311C2211yescharacteristic
97#16837311C2211yescharacteristic
98#16837311C2211yescharacteristic
99#16837311C2211yescharacteristic, complemented
100#16837310C2211yescharacteristic
101#16837310C2211yescharacteristic
102#16837310C2211yescharacteristic, complemented
103#16837305C2211yescharacteristic, complemented
104#16837303C2211yescharacteristic, complemented
105#16837303C2211yescharacteristic, complemented
106#16837302C2211yescharacteristic, complemented
107#16837296C2211yescharacteristic, complemented
108#16837295C2211yescharacteristic, complemented
109#16837295C2211yescharacteristic, complemented
110#16837292C2211yescharacteristic, complemented
111#16837292C2211yescharacteristic, complemented
112#16837292C2211yescharacteristic, complemented
113#16837291C2211yescharacteristic, complemented
114#16837291C2211yescharacteristic, complemented
115#16837290C2211yescharacteristic, complemented
116#16837290C2211yescharacteristic, complemented
117#16837288C2211yescharacteristic, complemented
118#16837287C2211yescharacteristic, complemented
119#16837282C2211yescharacteristic
120#16837282C2211yescharacteristic
121#16837281C2211yescharacteristic
122#16837281C2211yescharacteristic
123#16837281C2211yescharacteristic
124#16837281C2211yescharacteristic
125#16837281C2211yescharacteristic
126#16837281C2211yescharacteristic, complemented
127#16837281C2211yescharacteristic, complemented
128#16837281C2211yescharacteristic, complemented
129#16837281C2211yescharacteristic, complemented
130#16837281C2211yescharacteristic, complemented
131#16837281C2211yescharacteristic, complemented
132#16837281C2211yescharacteristic, complemented
133#16837281C2211yescharacteristic, complemented
134#16837281C2211yescharacteristic, complemented
135#16837280C2211yescharacteristic, complemented
136#16837280C2211yescharacteristic, complemented
137#16837280C2211yescharacteristic, complemented
138#16837280C2211yescharacteristic, complemented
139#16837280C2211yescharacteristic, complemented
140#16837280C2211yescharacteristic, complemented
141#16837279C2211yescharacteristic
142#16837279C2211yescharacteristic
143#16837279C2211yescharacteristic
144#16837279C2211yescharacteristic, complemented
145#16837278C2211yescharacteristic
146#16837278C2211yescharacteristic
147#16837278C2211yescharacteristic, complemented
148#16837278C2211yescharacteristic, complemented
149#16837278C2211yescharacteristic, complemented
150#16837278C2211yescharacteristic, complemented
151#16837278C2211yescharacteristic, complemented
152#16837277C2211yescharacteristic, complemented
153#16837276C2211yescharacteristic, complemented
154#16837276C2211yescharacteristic, complemented
155#16837276C2211yescharacteristic, complemented
156#16837274C2211yescharacteristic, complemented
157#16837269C2211yescharacteristic, complemented
158#16837264C2211yescharacteristic, complemented
159#16837264C2211yescharacteristic, complemented
160#16837264C2211yescharacteristic, complemented
161#16837262C2211yescharacteristic, complemented
162#16837262C2211yescharacteristic, complemented
163#16837262C2211yescharacteristic, complemented
164#16837259C2211yescharacteristic, complemented
165#16837257C2211yescharacteristic
166#16837257C2211yescharacteristic, complemented
167#16837257C2211yescharacteristic, complemented
168#16837257C2211yescharacteristic, complemented
169C22⋊C4×Dic59C2211yescharacteristic, complemented
170C2×C59⋊#95C2211yescharacteristic, complemented
171C2×C59⋊#95C2211yescharacteristic, complemented
172C24×C4×C59C2211yescharacteristic, complemented
173C2×#123×C59C2211yescharacteristic, complemented
174C2×#123×C59C2211yescharacteristic, complemented
175C2×#120×C59C2211yescharacteristic
176C59×#386C2211yescharacteristic
177C59×#386C2211yescharacteristic
178C59×#386C2211yescharacteristic, complemented
179C59×#386C2211yescharacteristic, complemented
180C59×#385C2211yescharacteristic, complemented
181C59×#385C2211yescharacteristic, complemented
182C59×#385C2211yescharacteristic, complemented
183C59×#385C2211yescharacteristic, complemented
184C59×#381C2211yescharacteristic, complemented
185C59×#381C2211yescharacteristic, complemented
186C59×#379C2211yescharacteristic, complemented
187C24×D59C2311yescharacteristic
188C24×D59C2311yescharacteristic
189C22×Dic118C2311yescharacteristic
190C22×D236C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×C22⋊D59—24no—
195C22×C22⋊D59—42no—
196C22×C22⋊D59—42no—
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
209C2×D4×D59—24no—
210C2×D4×D59—42no—
211C2×D4×D59—42no—
212C23×Dic59C2311yescharacteristic
213C23×Dic59C2311yescharacteristic
214C23×Dic59C2311yescharacteristic
215C22×C4×D59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219#14273713—42no—
220#14273707—42no—
221#14273704—42no—
222#14273701—42no—
223#14273701—42no—
224#14273701—42no—
225#14273700—42no—
226#14273700—42no—
227#14273699—42no—
228#14273698—42no—
229#14273697—24no—
230#14273697—42no—
231#14273696—42no—
232#14273696—42no—
233#14273695—42no—
234#14273695—42no—
235(C22⋊D59)⋊C4—42no—
236C2×C4⋊Dic59C2311yescharacteristic
237C2×C4⋊Dic59C2311yescharacteristic
238C2×C4⋊Dic59C2311yescharacteristic
239C2×C4⋊Dic59C2311yescharacteristic
240C2×C4⋊Dic59C2311yescharacteristic
241C2×C4⋊Dic59C2311yescharacteristic
242C2×Dic59⋊C4C2311yescharacteristic
243C2×Dic59⋊C4C2311yescharacteristic
244C2×Dic59⋊C4C2311yescharacteristic
245C2×Dic59⋊C4C2311yescharacteristic
246C2×Dic59⋊C4C2311yescharacteristic
247C2×Dic59⋊C4C2311yescharacteristic
248C2×C22⋊Dic59—42no—
249C2×C22⋊Dic59C2311yescharacteristic
250C2×C22⋊Dic59C2311yescharacteristic
251C2×C22⋊Dic59C2311yescharacteristic
252C2×C22⋊Dic59C2311yescharacteristic
253C2×C22⋊Dic59C2311yescharacteristic
254C2×C22⋊Dic59C2311yescharacteristic
255C2×C22⋊Dic59C2311yescharacteristic
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×(C2×D59)⋊C4—42no—
265C2×(C2×D59)⋊C4—42no—
266C2×(C2×D59)⋊C4C2311yescharacteristic
267C2×(C2×D59)⋊C4C2311yescharacteristic
268C2×(C2×D59)⋊C4C2311yescharacteristic
269C2×(C2×D59)⋊C4C2311yescharacteristic
270C2×(C2×D59)⋊C4C2311yescharacteristic
271C2×(C2×D59)⋊C4C2311yescharacteristic
272C2×(C2×D59)⋊C4C2311yescharacteristic
273C2×(C2×D59)⋊C4C2311yescharacteristic
274C2×(C2×D59)⋊C4C2311yescharacteristic
275C2×(C2×D59)⋊C4C2311yescharacteristic
276C2×(C2×D59)⋊C4C2311yescharacteristic
277C2×(C2×D59)⋊C4C2311yescharacteristic
278C2×(C2×D59)⋊C4C2311yescharacteristic
279C2×(C2×D59)⋊C4C2311yescharacteristic
280C2×(C2×D59)⋊C4C2311yescharacteristic
281C2×(C2×D59)⋊C4C2311yescharacteristic
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×(C2×D59)⋊C4C2311yescharacteristic
284C2×(C2×D59)⋊C4C2311yescharacteristic
285C2×(C2×D59)⋊C4C2311yescharacteristic
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C2×(C2×D59)⋊C4C2311yescharacteristic
288C2×(C2×D59)⋊C4C2311yescharacteristic
289C2×(C2×D59)⋊C4C2311yescharacteristic
290C2×(C2×D59)⋊C4C2311yescharacteristic
291C2×(C2×D59)⋊C4C2311yescharacteristic
292C2×(C2×D59)⋊C4C2311yescharacteristic
293C2×(C2×D59)⋊C4C2311yescharacteristic
294C2×(C2×D59)⋊C4C2311yescharacteristic
295C2×(C2×D59)⋊C4C2311yescharacteristic
296C2×(C2×D59)⋊C4C2311yescharacteristic
297C2×(C2×D59)⋊C4C2311yescharacteristic
298C22⋊C4×D59—42no—
299C2×C4×Dic59C2311yescharacteristic
300C2×C4×Dic59C2311yescharacteristic
301C2×C4×Dic59C2311yescharacteristic
302C59⋊#95C2311yescharacteristic
303C59⋊#95C2311yescharacteristic
304C59⋊#95C2311yescharacteristic
305C59⋊#95C2311yescharacteristic
306C59⋊#95C2311yescharacteristic
307C59⋊#95C2311yescharacteristic
308C59⋊#95C2311yescharacteristic
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
334C25×C59C2311yescharacteristic
335C22×D4×C59C2311yescharacteristic
336C22×D4×C59C2311yescharacteristic
337C22×D4×C59C2311yescharacteristic
338C23×C4×C59—42no—
339C23×C4×C59—42no—
340C23×C4×C59—42no—
341C23×C4×C59C2311yescharacteristic
342C23×C4×C59C2311yescharacteristic
343C23×C4×C59C2311yescharacteristic
344C23×C4×C59C2311yescharacteristic
345C23×C4×C59C2311yescharacteristic
346C23×C4×C59C2311yescharacteristic
347#123×C59—42no—
348#123×C59—42no—
349#120×C59—42no—
350C2×C4⋊C4×C59C2311yescharacteristic
351C2×C4⋊C4×C59C2311yescharacteristic
352C2×C4⋊C4×C59C2311yescharacteristic
353C2×C4⋊C4×C59C2311yescharacteristic
354C2×C22⋊C4×C59C2311yescharacteristic
355C2×C22⋊C4×C59C2311yescharacteristic
356C2×C22⋊C4×C59C2311yescharacteristic
357C2×C22⋊C4×C59C2311yescharacteristic
358C2×C22⋊C4×C59C2311yescharacteristic
359C2×C22⋊C4×C59C2311yescharacteristic
360C2×C22⋊C4×C59C2311yescharacteristic
361C2×C22⋊C4×C59C2311yescharacteristic
362C2×C22⋊C4×C59C2311yescharacteristic
363C2×C22⋊C4×C59C2311yescharacteristic
364C2×C22⋊C4×C59C2311yescharacteristic
365C2×C22⋊C4×C59C2311yescharacteristic
366C2×C22⋊C4×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369#95×C59C2311yescharacteristic
370#95×C59C2311yescharacteristic
371#95×C59C2311yescharacteristic
372#95×C59C2311yescharacteristic
373#95×C59C2311yescharacteristic
374#95×C59C2311yescharacteristic
375C24×C59—22no—
376C24×C59—22no—
377C24×C59—22no—
378C24×C59—22no—
379C24×C59—22no—
380C24×C59—41no—
381C24×C59—41no—
382C24×C59C2411yescharacteristic
383C24×C59C2411yescharacteristic
384C24×C59C2411yescharacteristic
385C24×C59C2411yescharacteristic
386C23×D59—22no—
387C23×D59—22no—
388C23×D59—22no—
389C23×D59—41no—
390C23×D59—41no—
391C23×D59—41no—
392C23×D59—41no—
393C23×D59—41no—
394C23×D59—41no—
395C23×D59—41no—
396C23×D59—41no—
397C23×D59—41no—
398C23×D59—41no—
399C23×D59#4114yes—
400C23×D59C2411yescharacteristic
401C23×D59C2411yescharacteristic
402C23×D59C2411yescharacteristic
403C23×D59C2411yescharacteristic
404C2×D4×C59—22no—
405C2×D4×C59—22no—
406C2×D4×C59—22no—
407C2×D4×C59—22no—
408C2×D4×C59—22no—
409C2×D4×C59—41no—
410C2×D4×C59—41no—
411C2×D4×C59—41no—
412C2×D4×C59—41no—
413C22×C4×C59—22no—
414C22×C4×C59—22no—
415C22×C4×C59—22no—
416C22×C4×C59—22no—
417C22×C4×C59—22no—
418C22×C4×C59—22no—
419C22×C4×C59—22no—
420C22×C4×C59—41no—
421C22×C4×C59—41no—
422C22×C4×C59—41no—
423C22×C4×C59—41no—
424C22×C4×C59—41no—
425C22×C4×C59—41no—
426C22×C4×C59—41no—
427C22×C4×C59—41no—
428C22×C4×C59—41no—
429C22×C4×C59—41no—
430C22×C4×C59—41no—
431C22×C4×C59—416no—
432C22×C4×C59C2411yescharacteristic
433C22×C4×C59C2411yescharacteristic
434C22×C4×C59C2411yescharacteristic
435C22×C4×C59C2411yescharacteristic
436C22×C4×C59C2411yescharacteristic
437C22×C4×C59C2411yescharacteristic
438C22×C4×C59C2411yescharacteristic
439C22×C4×C59C2411yescharacteristic
440C22×C4×C59C2411yescharacteristic
441C22×C4×C59C2411yescharacteristic
442C22×C4×C59C2411yescharacteristic
443C2×C22⋊D59—22no—
444C2×C22⋊D59—22no—
445C2×C22⋊D59—22no—
446C2×C22⋊D59—22no—
447C2×C22⋊D59—22no—
448C2×C22⋊D59—22no—
449C2×C22⋊D59—22no—
450C2×C22⋊D59—22no—
451C2×C22⋊D59—22no—
452C2×C22⋊D59—22no—
453C2×C22⋊D59—22no—
454C2×C22⋊D59—22no—
455C2×C22⋊D59—22no—
456C2×C22⋊D59—22no—
457C2×C22⋊D59—22no—
458C2×C22⋊D59—22no—
459C2×C22⋊D59—22no—
460C2×C22⋊D59—22no—
461C2×C22⋊D59—22no—
462C2×C22⋊D59—41no—
463C2×C22⋊D59—41no—
464C2×C22⋊D59—41no—
465C2×C22⋊D59—41no—
466C2×C22⋊D59—41no—
467C2×C22⋊D59—41no—
468C2×C22⋊D59—41no—
469C2×C22⋊D59—41no—
470C2×C22⋊D59—41no—
471C2×C22⋊D59—41no—
472C2×C22⋊D59—41no—
473C2×C22⋊D59—41no—
474C2×C22⋊D59—41no—
475C2×C22⋊D59—41no—
476C2×C22⋊D59—41no—
477C2×C22⋊D59—41no—
478C2×C22⋊D59—41no—
479C2×C22⋊D59—416no—
480C22×Dic59—22no—
481C22×Dic59—22no—
482C22×Dic59—22no—
483C22×Dic59—41no—
484C22×Dic59—41no—
485C22×Dic59—41no—
486C22×Dic59—41no—
487C22×Dic59—41no—
488C22×Dic59—41no—
489C22×Dic59C2411yescharacteristic
490C22×Dic59C2411yescharacteristic
491C22×Dic59C2411yescharacteristic
492C22×Dic59C2411yescharacteristic
493C22×Dic59C2411yescharacteristic
494C22×Dic59C2411yescharacteristic
495C22×Dic59C2411yescharacteristic
496C22×Dic59C2411yescharacteristic
497C22×Dic59C2411yescharacteristic
498C22×Dic59C2411yescharacteristic
499C22×Dic59C2411yescharacteristic
500C22×Dic59C2411yescharacteristic
501D4×D59—416no—
502C2×D236—22no—
503C2×D236—22no—
504C2×D236—22no—
505C2×D236—22no—
506C2×D236—41no—
507C2×D236—41no—
508C2×D236—41no—
509C2×D236—41no—
510C2×D236—41no—
511C2×D236—41no—
512C2×D236—41no—
513C2×D236—41no—
514C2×C4×D59—22no—
515C2×C4×D59—41no—
516C2×C4×D59—41no—
517C2×C4×D59—41no—
518C2×C4×D59—41no—
519C2×C4×D59—41no—
520C2×C4×D59—41no—
521C2×C4×D59—41no—
522C2×C4×D59—41no—
523C2×C4×D59—41no—
524C2×C4×D59—41no—
525C2×C4×D59—41no—
526C2×Dic118—41no—
527C2×Dic118—41no—
528C2×Dic118—41no—
529C4⋊C4×C59—22no—
530C4⋊C4×C59—41no—
531C4⋊C4×C59—41no—
532C4⋊C4×C59—41no—
533C22⋊C4×C59—22no—
534C22⋊C4×C59—22no—
535C22⋊C4×C59—22no—
536C22⋊C4×C59—22no—
537C22⋊C4×C59—22no—
538C22⋊C4×C59—22no—
539C22⋊C4×C59—41no—
540C22⋊C4×C59—41no—
541C22⋊C4×C59—41no—
542C22⋊C4×C59—41no—
543C22⋊C4×C59—41no—
544C22⋊C4×C59—41no—
545C22⋊C4×C59—41no—
546C22⋊Dic59—22no—
547C22⋊Dic59—22no—
548C22⋊Dic59—22no—
549C22⋊Dic59—22no—
550C22⋊Dic59—41no—
551C22⋊Dic59—41no—
552C22⋊Dic59—41no—
553C22⋊Dic59—41no—
554C22⋊Dic59—41no—
555C22⋊Dic59—41no—
556C22⋊Dic59—41no—
557C22⋊Dic59—41no—
558C22⋊Dic59—41no—
559C22⋊Dic59—41no—
560C22⋊Dic59—41no—
561(C2×D59)⋊C4—22no—
562(C2×D59)⋊C4—22no—
563(C2×D59)⋊C4—22no—
564(C2×D59)⋊C4—22no—
565(C2×D59)⋊C4—41no—
566(C2×D59)⋊C4—41no—
567(C2×D59)⋊C4—41no—
568(C2×D59)⋊C4—41no—
569(C2×D59)⋊C4—41no—
570(C2×D59)⋊C4—41no—
571(C2×D59)⋊C4—41no—
572(C2×D59)⋊C4—41no—
573(C2×D59)⋊C4—41no—
574(C2×D59)⋊C4—41no—
575(C2×D59)⋊C4—41no—
576(C2×D59)⋊C4—41no—
577(C2×D59)⋊C4—41no—
578(C2×D59)⋊C4—41no—
579(C2×D59)⋊C4—41no—
580(C2×D59)⋊C4—41no—
581(C2×D59)⋊C4—41no—
582(C2×D59)⋊C4—41no—
583(C2×D59)⋊C4—41no—
584(C2×D59)⋊C4—41no—
585(C2×D59)⋊C4—41no—
586(C2×D59)⋊C4—41no—
587(C2×D59)⋊C4—41no—
588(C2×D59)⋊C4—41no—
589(C2×D59)⋊C4—41no—
590(C2×D59)⋊C4—41no—
591(C2×D59)⋊C4—41no—
592(C2×D59)⋊C4—41no—
593C4⋊Dic59—22no—
594C4⋊Dic59—41no—
595C4⋊Dic59—41no—
596C4⋊Dic59—41no—
597C4⋊Dic59—41no—
598C4⋊Dic59—41no—
599Dic59⋊C4—41no—
600Dic59⋊C4—41no—
601Dic59⋊C4—41no—
602Dic59⋊C4—41no—
603Dic59⋊C4—41no—
604Dic59⋊C4—41no—
605C4×Dic59—41no—
606C4×Dic59—41no—
607C4×Dic59—41no—
608C23×C59—21no—
609C23×C59—21no—
610C23×C59—21no—
611C23×C59—21no—
612C23×C59—28no—
613C23×C59—21no—
614C23×C59—21no—
615C23×C59—21no—
616C23×C59—21no—
617C23×C59—21no—
618C23×C59—21no—
619C23×C59—21no—
620C23×C59—21no—
621C23×C59—21no—
622C23×C59—21no—
623C23×C59—21no—
624C23×C59—21no—
625C23×C59—21no—
626C23×C59—21no—
627C23×C59—21no—
628C23×C59—21no—
629C23×C59—21no—
630C23×C59—21no—
631C23×C59—21no—
632C23×C59—44no—
633C23×C59—44no—
634C23×C59—44no—
635C23×C59—44no—
636C23×C59—44no—
637C23×C59—44no—
638C23×C59C2×#4112yes—
639C23×C59H(5,𝔽2)12yes—
640C23×C59H(5,𝔽2)12yes—
641C23×C59H(5,𝔽2)12yes—
642C23×C59H(5,𝔽2)12yes—
643C23×C59C2511yescharacteristic
644C22×D59—21no—
645C22×D59—21no—
646C22×D59—21no—
647C22×D59—21no—
648C22×D59—21no—
649C22×D59—21no—
650C22×D59—21no—
651C22×D59—21no—
652C22×D59—21no—
653C22×D59—21no—
654C22×D59—21no—
655C22×D59—21no—
656C22×D59—28no—
657C22×D59—21no—
658C22×D59—21no—
659C22×D59—21no—
660C22×D59—21no—
661C22×D59—21no—
662C22×D59—21no—
663C22×D59—21no—
664C22×D59—21no—
665C22×D59—21no—
666C22×D59—21no—
667C22×D59—21no—
668C22×D59—21no—
669C22×D59—21no—
670C22×D59—21no—
671C22×D59—44no—
672C22×D59—44no—
673C22×D59—44no—
674C22×D59—82no—
675C22×D59—82no—
676C22×D59—82no—
677C22×D59—82no—
678C22×D59—82no—
679C22×D59—82no—
680C22×D59—82no—
681C22×D59—82no—
682C22×D59—82no—
683C22×D59—82no—
684C22×D59C2×#4112yes—
685C22×D59C2×#4112yes—
686D4×C59—44no—
687D4×C59—82no—
688D4×C59—82no—
689C2×C4×C59—21no—
690C2×C4×C59—21no—
691C2×C4×C59—21no—
692C2×C4×C59—21no—
693C2×C4×C59—21no—
694C2×C4×C59—21no—
695C2×C4×C59—21no—
696C2×C4×C59—21no—
697C2×C4×C59—21no—
698C2×C4×C59—21no—
699C2×C4×C59—21no—
700C2×C4×C59—21no—
701C2×C4×C59—21no—
702C2×C4×C59—21no—
703C2×C4×C59—21no—
704C2×C4×C59—21no—
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—44no—
722C2×C4×C59—44no—
723C2×C4×C59—44no—
724C2×C4×C59—44no—
725C2×C4×C59—44no—
726C2×C4×C59—44no—
727C2×C4×C59H(5,𝔽2)12yes—
728C22⋊D59—44no—
729C22⋊D59—44no—
730C22⋊D59—44no—
731C22⋊D59—44no—
732C22⋊D59—44no—
733C22⋊D59—44no—
734C22⋊D59—44no—
735C22⋊D59—82no—
736C22⋊D59—82no—
737C22⋊D59—82no—
738C22⋊D59—82no—
739C22⋊D59—82no—
740C2×Dic59—21no—
741C2×Dic59—21no—
742C2×Dic59—21no—
743C2×Dic59—21no—
744C2×Dic59—21no—
745C2×Dic59—21no—
746C2×Dic59—21no—
747C2×Dic59—21no—
748C2×Dic59—21no—
749C2×Dic59—21no—
750C2×Dic59—21no—
751C2×Dic59—21no—
752C2×Dic59—21no—
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—44no—
777C2×Dic59—82no—
778C2×Dic59—82no—
779D236—44no—
780D236—82no—
781D236—82no—
782D236—82no—
783C4×D59—44no—
784C4×D59—82no—
785C4×D59—82no—
786C4×D59—82no—
787Dic118—82no—
788#36776—591nomaximal, Sylow
789C22×C59—22no—
790C22×C59—22no—
791C22×C59—22no—
792C22×C59—22no—
793C22×C59—22no—
794C22×C59—22no—
795C22×C59—22no—
796C22×C59—22no—
797C22×C59—22no—
798C22×C59—22no—
799C22×C59—22no—
800C22×C59—22no—
801C22×C59—416no—
802C22×C59—41no—
803C22×C59—41no—
804C22×C59—41no—
805C22×C59—41no—
806C22×C59—41no—
807C22×C59—41no—
808C22×C59—41no—
809C22×C59—41no—
810C22×C59—41no—
811C22×C59—41no—
812C22×C59—41no—
813C22×C59—41no—
814C22×C59—41no—
815C22×C59—41no—
816C22×C59—41no—
817C22×C59#53814yes—
818C22×C59C22×#4111yescharacteristic
819C22×C59C2×H(5,𝔽2)11yescharacteristic
820C22×C59C2×H(5,𝔽2)11yescharacteristic
821C22×C59C2×H(5,𝔽2)11yescharacteristic
822C22×C59C2×H(5,𝔽2)11yescharacteristic
823C22×C59C2×H(5,𝔽2)11yescharacteristic
824C22×C59#58511yescharacteristic
825C2×D59—22no—
826C2×D59—22no—
827C2×D59—22no—
828C2×D59—22no—
829C2×D59—22no—
830C2×D59—22no—
831C2×D59—41no—
832C2×D59—41no—
833C2×D59—41no—
834C2×D59—41no—
835C2×D59—41no—
836C2×D59—41no—
837C2×D59—41no—
838C2×D59—41no—
839C2×D59—41no—
840C2×D59—41no—
841C2×D59—41no—
842C2×D59—41no—
843C2×D59—41no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—41no—
850C2×D59—41no—
851C2×D59—41no—
852C2×D59—41no—
853C2×D59—88no—
854C2×D59—88no—
855C4×C59—22no—
856C4×C59—41no—
857C4×C59—41no—
858C4×C59—41no—
859C4×C59—41no—
860C4×C59—41no—
861C4×C59—41no—
862C4×C59—41no—
863C4×C59—41no—
864C4×C59—41no—
865C4×C59—41no—
866Dic59—41no—
867Dic59—41no—
868Dic59—41no—
869Dic59—41no—
870Dic59—41no—
871Dic59—41no—
872Dic59—41no—
873Dic59—41no—
874Dic59—41no—
875Dic59—41no—
876Dic59—41no—
877Dic59—41no—
878#2849D5911yescharacteristic, complemented
879#2847—591no—
880#2778—591no—
881#2778—591no—
882#2760—591no—
883#2750—591no—
884#2749—591no—
885#2749—591no—
886#2743—591no—
887#2703—591no—
888#2697—591no—
889#2696—591no—
890#2688—591no—
891#2688—591no—
892#2684—591no—
893#2678—591no—
894#2676—591no—
895#2668—591no—
896#2643—591no—
897#2639—591no—
898#2510—591no—
899#2472—591no—
900#2444—591no—
901#2437—591no—
902#2424—591no—
903#2410—591no—
904#2410—591no—
905#2403—591no—
906#2321—591no—
907#2308—591no—
908C2×#386—591no—
909C2×C59—24no—
910C2×C59—42no—
911C2×C59—42no—
912C2×C59—81no—
913C2×C59C2×#53811yescharacteristic
914C2×C59#349011yescharacteristic
915C2×C59#350511yescharacteristic
916C2×C59#353211yescharacteristic
917C2×C59#353411yescharacteristic
918C2×C59#353411yescharacteristic
919C2×C59#353711yescharacteristic
920D59—42no—
921D59—42no—
922D59—81no—
923D59—81no—
924C23×D4—591no—
925C23×D4—591no—
926C24×C4C2×D5911yescharacteristic, complemented
927C2×#124—591no—
928C2×#123C2×D5911yescharacteristic, complemented
929C2×#123C2×D5911yescharacteristic, complemented
930C2×C22⋊Q8—591no—
931C2×C22⋊Q8—591no—
932C2×#121—591no—
933C2×#121—591no—
934C2×#121—591no—
935C2×#121—591no—
936C2×#121—591no—
937C2×#121—591no—
938C2×#121—591no—
939C2×#120—591no—
940C2×#120—591no—
941C2×#120—591no—
942C2×#120—591no—
943C2×#120—591no—
944C2×#120—591no—
945C2×#120C2×D5911yescharacteristic
946C2×C4×D4—591no—
947C22×C22⋊C4—591no—
948C22×C22⋊C4—591no—
949C22×C22⋊C4—591no—
950C22×C22⋊C4—591no—
951#401—591no—
952#401—591no—
953#400—591no—
954#400—591no—
955#400—591no—
956#400—591no—
957#400—591no—
958#400—591no—
959#400—591no—
960#399—591no—
961#397—591no—
962#397—591no—
963#397—591no—
964#397—591no—
965#397—591no—
966#397—591no—
967#397—591no—
968#397—591no—
969#397—591no—
970#397—591no—
971#396—591no—
972#396—591no—
973#396—591no—
974#396—591no—
975#394—591no—
976#394—591no—
977#394—591no—
978#394—591no—
979#394—591no—
980#394—591no—
981#394—591no—
982#394—591no—
983#394—591no—
984#394—591no—
985#394—591no—
986#393—591no—
987#393—591no—
988#393—591no—
989#393—591no—
990#392—591no—
991#392—591no—
992#392—591no—
993#392—591no—
994#392—591no—
995#392—591no—
996#392—591no—
997#392—591no—
998#392—591no—
999#390—591no—
1000#390—591no—
1001#390—591no—
1002#390—591no—
1003#388—591no—
1004#388—591no—
1005#388—591no—
1006#388—591no—
1007#388—591no—
1008#388—591no—
1009#388—591no—
1010#388—591no—
1011#388—591no—
1012#388—591no—
1013#387—591no—
1014#387—591no—
1015#386—591no—
1016#386—591no—
1017#386—591no—
1018#386—591no—
1019#386—591no—
1020#386—591no—
1021#386—591no—
1022#386—591no—
1023#386—591no—
1024#386—591no—
1025#386—591no—
1026#386—591no—
1027#386—591no—
1028#386—591no—
1029#386—591no—
1030#386—591no—
1031#386—591no—
1032#386—591no—
1033#386—591no—
1034#386—591no—
1035#386—591no—
1036#386—591no—
1037#386—591no—
1038#386—591no—
1039#386—591no—
1040#386—591no—
1041#386—591no—
1042#386—591no—
1043#386—591no—
1044#386—591no—
1045#386—591no—
1046#386—591no—
1047#386—591no—
1048#386C2×D5911yescharacteristic
1049#386C2×D5911yescharacteristic
1050#386C2×D5911yescharacteristic, complemented
1051#386C2×D5911yescharacteristic, complemented
1052#385—591no—
1053#385—591no—
1054#385—591no—
1055#385—591no—
1056#385—591no—
1057#385C2×D5911yescharacteristic, complemented
1058#385C2×D5911yescharacteristic, complemented
1059#385C2×D5911yescharacteristic, complemented
1060#385C2×D5911yescharacteristic, complemented
1061#383—591no—
1062#381—591no—
1063#381—591no—
1064#381—591no—
1065#381C2×D5911yescharacteristic, complemented
1066#381C2×D5911yescharacteristic, complemented
1067#380—591no—
1068#380—591no—
1069#380—591no—
1070#380—591no—
1071#379—591no—
1072#379—591no—
1073#379—591no—
1074#379—591no—
1075#379C2×D5911yescharacteristic, complemented
1076C4×C22⋊C4—591no—
1077C2×#95—591no—
1078C2×#95—591no—
1079C59#3677611yescharacteristic, complemented, Sylow
1080C25—591no—
1081C25—591no—
1082C25C22×D5911yescharacteristic
1083C22×Q8—591no—
1084C22×D4—591no—
1085C22×D4—591no—
1086C22×D4—591no—
1087C22×D4—591no—
1088C22×D4—591no—
1089C22×D4—591no—
1090C22×D4—591no—
1091C22×D4—591no—
1092C22×D4—591no—
1093C22×D4—591no—
1094C22×D4—591no—
1095C22×D4—591no—
1096C22×D4—591no—
1097C22×D4—591no—
1098C22×D4—591no—
1099C22×D4—591no—
1100C22×D4—1184no—
1101C22×D4—1184no—
1102C22×D4—2362no—
1103C22×D4—2362no—
1104C22×D4—2362no—
1105C22×D4—2362no—
1106C22×D4C22×D5911yescharacteristic
1107C22×D4C22×D5911yescharacteristic
1108C22×D4C22×D5911yescharacteristic
1109C23×C4—42no—
1110C23×C4—42no—
1111C23×C4—42no—
1112C23×C4—591no—
1113C23×C4—591no—
1114C23×C4—591no—
1115C23×C4—591no—
1116C23×C4—591no—
1117C23×C4—591no—
1118C23×C4—591no—
1119C23×C4C22×D5911yescharacteristic
1120C23×C4C22×D5911yescharacteristic
1121C23×C4C22×D5911yescharacteristic
1122C23×C4C22×D5911yescharacteristic
1123C23×C4C22×D5911yescharacteristic
1124C23×C4C22×D5911yescharacteristic
1125#124—2362no—
1126#123—42no—
1127#123—42no—
1128C22⋊Q8—2362no—
1129C22⋊Q8—2362no—
1130#121—2362no—
1131#121—2362no—
1132#121—2362no—
1133#121—2362no—
1134#121—2362no—
1135#121—2362no—
1136#121—2362no—
1137#120—42no—
1138#120—1184no—
1139#120—2362no—
1140#120—2362no—
1141#120—2362no—
1142#120—2362no—
1143#120—2362no—
1144C4×D4—2362no—
1145C2×C4⋊C4—591no—
1146C2×C4⋊C4—591no—
1147C2×C4⋊C4—591no—
1148C2×C4⋊C4—591no—
1149C2×C4⋊C4—591no—
1150C2×C4⋊C4—591no—
1151C2×C4⋊C4—591no—
1152C2×C4⋊C4—591no—
1153C2×C4⋊C4—591no—
1154C2×C4⋊C4—591no—
1155C2×C4⋊C4—591no—
1156C2×C4⋊C4—591no—
1157C2×C4⋊C4C22×D5911yescharacteristic
1158C2×C4⋊C4C22×D5911yescharacteristic
1159C2×C4⋊C4C22×D5911yescharacteristic
1160C2×C4⋊C4C22×D5911yescharacteristic
1161C2×C22⋊C4—591no—
1162C2×C22⋊C4—591no—
1163C2×C22⋊C4—591no—
1164C2×C22⋊C4—591no—
1165C2×C22⋊C4—591no—
1166C2×C22⋊C4—591no—
1167C2×C22⋊C4—591no—
1168C2×C22⋊C4—591no—
1169C2×C22⋊C4—591no—
1170C2×C22⋊C4—591no—
1171C2×C22⋊C4—591no—
1172C2×C22⋊C4—591no—
1173C2×C22⋊C4—591no—
1174C2×C22⋊C4—591no—
1175C2×C22⋊C4—591no—
1176C2×C22⋊C4—591no—
1177C2×C22⋊C4—591no—
1178C2×C22⋊C4—591no—
1179C2×C22⋊C4—591no—
1180C2×C22⋊C4—591no—
1181C2×C22⋊C4—591no—
1182C2×C22⋊C4—591no—
1183C2×C22⋊C4—591no—
1184C2×C22⋊C4—591no—
1185C2×C22⋊C4—591no—
1186C2×C22⋊C4—591no—
1187C2×C22⋊C4—591no—
1188C2×C22⋊C4—591no—
1189C2×C22⋊C4—591no—
1190C2×C22⋊C4—591no—
1191C2×C22⋊C4—591no—
1192C2×C22⋊C4—591no—
1193C2×C22⋊C4—591no—
1194C2×C22⋊C4—591no—
1195C2×C22⋊C4—591no—
1196C2×C22⋊C4—591no—
1197C2×C22⋊C4—591no—
1198C2×C22⋊C4—591no—
1199C2×C22⋊C4—591no—
1200C2×C22⋊C4—591no—
1201C2×C22⋊C4—591no—
1202C2×C22⋊C4—591no—
1203C2×C22⋊C4—591no—
1204C2×C22⋊C4—591no—
1205C2×C22⋊C4—591no—
1206C2×C22⋊C4—591no—
1207C2×C22⋊C4—591no—
1208C2×C22⋊C4—2362no—
1209C2×C22⋊C4—2362no—
1210C2×C22⋊C4—2362no—
1211C2×C22⋊C4—2362no—
1212C2×C22⋊C4C22×D5911yescharacteristic
1213C2×C22⋊C4C22×D5911yescharacteristic
1214C2×C22⋊C4C22×D5911yescharacteristic
1215C2×C22⋊C4C22×D5911yescharacteristic
1216C2×C22⋊C4C22×D5911yescharacteristic
1217C2×C22⋊C4C22×D5911yescharacteristic
1218C2×C22⋊C4C22×D5911yescharacteristic
1219C2×C22⋊C4C22×D5911yescharacteristic
1220C2×C22⋊C4C22×D5911yescharacteristic
1221C2×C22⋊C4C22×D5911yescharacteristic
1222C2×C22⋊C4C22×D5911yescharacteristic
1223C2×C22⋊C4C22×D5911yescharacteristic
1224C2×C22⋊C4C22×D5911yescharacteristic
1225C2×C42—591no—
1226C2×C42—591no—
1227C2×C42—591no—
1228#95—591no—
1229#95—591no—
1230#95—591no—
1231#95—591no—
1232#95—591no—
1233#95—591no—
1234#95—591no—
1235#95—591no—
1236#95—591no—
1237#95—591no—
1238#95—591no—
1239#95—591no—
1240#95—591no—
1241#95—591no—
1242#95—591no—
1243#95—591no—
1244#95—591no—
1245#95—591no—
1246#95—591no—
1247#95—591no—
1248#95—591no—
1249#95—591no—
1250#95—591no—
1251#95—591no—
1252#95—591no—
1253#95—591no—
1254#95—591no—
1255#95—591no—
1256#95—591no—
1257#95—591no—
1258#95—591no—
1259#95—591no—
1260#95C22×D5911yescharacteristic
1261#95C22×D5911yescharacteristic
1262#95C22×D5911yescharacteristic
1263#95C22×D5911yescharacteristic
1264#95C22×D5911yescharacteristic
1265#95C22×D5911yescharacteristic
1266#95C22×D5911yescharacteristic
1267#95C22×D5911yescharacteristic
1268C24—22no—
1269C24—22no—
1270C24—22no—
1271C24—22no—
1272C24—22no—
1273C24—41no—
1274C24—41no—
1275C24—591no—
1276C24—591no—
1277C24—594no—
1278C24—591no—
1279C24—591no—
1280C24—1182no—
1281C24—1182no—
1282C24—1182no—
1283C24—2361no—
1284C24—2361no—
1285C24—2361no—
1286C24—2361no—
1287C24—2361no—
1288C24—2361no—
1289C24—2361no—
1290C24—2361no—
1291C24—2361no—
1292C24—2361no—
1293C24C23×D5911yescharacteristic
1294C24C23×D5911yescharacteristic
1295C24C23×D5911yescharacteristic
1296C24C23×D5911yescharacteristic
1297C2×Q8—2361no—
1298C2×Q8—2361no—
1299C2×Q8—2361no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—1182no—
1310C2×D4—1182no—
1311C2×D4—1182no—
1312C2×D4—1182no—
1313C2×D4—1182no—
1314C2×D4—1182no—
1315C2×D4—1182no—
1316C2×D4—1182no—
1317C2×D4—1182no—
1318C2×D4—1182no—
1319C2×D4—1182no—
1320C2×D4—1182no—
1321C2×D4—1182no—
1322C2×D4—1182no—
1323C2×D4—1182no—
1324C2×D4—1182no—
1325C2×D4—1182no—
1326C2×D4—1182no—
1327C2×D4—1182no—
1328C2×D4—1182no—
1329C2×D4—1182no—
1330C2×D4—1182no—
1331C2×D4—1182no—
1332C2×D4—2361no—
1333C2×D4—2361no—
1334C2×D4—2361no—
1335C2×D4—2361no—
1336C2×D4—2361no—
1337C2×D4—2361no—
1338C2×D4—2361no—
1339C2×D4—2361no—
1340C2×D4—2361no—
1341C2×D4—2361no—
1342C2×D4—2361no—
1343C2×D4—2361no—
1344C2×D4—2361no—
1345C2×D4—2361no—
1346C2×D4—2361no—
1347C2×D4—2361no—
1348C2×D4—2361no—
1349C2×D4—2361no—
1350C2×D4—2361no—
1351C2×D4—2361no—
1352C2×D4—2361no—
1353C2×D4—2361no—
1354C2×D4—2361no—
1355C2×D4—2361no—
1356C2×D4—2361no—
1357C2×D4—23616no—
1358C2×D4—23616no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—41no—
1367C22×C4—41no—
1368C22×C4—41no—
1369C22×C4—41no—
1370C22×C4—41no—
1371C22×C4—41no—
1372C22×C4—41no—
1373C22×C4—41no—
1374C22×C4—41no—
1375C22×C4—41no—
1376C22×C4—41no—
1377C22×C4—416no—
1378C22×C4—591no—
1379C22×C4—591no—
1380C22×C4—591no—
1381C22×C4—591no—
1382C22×C4—591no—
1383C22×C4—591no—
1384C22×C4—591no—
1385C22×C4—591no—
1386C22×C4—591no—
1387C22×C4—591no—
1388C22×C4—591no—
1389C22×C4—591no—
1390C22×C4—1182no—
1391C22×C4—1182no—
1392C22×C4—1182no—
1393C22×C4—1182no—
1394C22×C4—2361no—
1395C22×C4—2361no—
1396C22×C4—2361no—
1397C22×C4—2361no—
1398C22×C4—2361no—
1399C22×C4—2361no—
1400C22×C4—2361no—
1401C22×C4—2361no—
1402C22×C4—2361no—
1403C22×C4—2361no—
1404C22×C4—2361no—
1405C22×C4—2361no—
1406C22×C4—2361no—
1407C22×C4—2361no—
1408C22×C4—2361no—
1409C22×C4—2361no—
1410C22×C4—2361no—
1411C22×C4C23×D5911yescharacteristic
1412C22×C4C23×D5911yescharacteristic
1413C22×C4C23×D5911yescharacteristic
1414C22×C4C23×D5911yescharacteristic
1415C22×C4C23×D5911yescharacteristic
1416C22×C4C23×D5911yescharacteristic
1417C22×C4C23×D5911yescharacteristic
1418C22×C4C23×D5911yescharacteristic
1419C22×C4C23×D5911yescharacteristic
1420C22×C4C23×D5911yescharacteristic
1421C22×C4C23×D5911yescharacteristic
1422C4⋊C4—22no—
1423C4⋊C4—41no—
1424C4⋊C4—41no—
1425C4⋊C4—41no—
1426C4⋊C4—1182no—
1427C4⋊C4—2361no—
1428C4⋊C4—2361no—
1429C4⋊C4—2361no—
1430C4⋊C4—2361no—
1431C4⋊C4—2361no—
1432C4⋊C4—2361no—
1433C4⋊C4—2361no—
1434C4⋊C4—2361no—
1435C4⋊C4—2361no—
1436C4⋊C4—2361no—
1437C4⋊C4—2361no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—1182no—
1452C22⋊C4—1182no—
1453C22⋊C4—1182no—
1454C22⋊C4—1182no—
1455C22⋊C4—1182no—
1456C22⋊C4—1182no—
1457C22⋊C4—1182no—
1458C22⋊C4—1182no—
1459C22⋊C4—2361no—
1460C22⋊C4—2361no—
1461C22⋊C4—2361no—
1462C22⋊C4—2361no—
1463C22⋊C4—2361no—
1464C22⋊C4—2361no—
1465C22⋊C4—2361no—
1466C22⋊C4—2361no—
1467C22⋊C4—2361no—
1468C22⋊C4—2361no—
1469C22⋊C4—2361no—
1470C22⋊C4—2361no—
1471C22⋊C4—2361no—
1472C22⋊C4—2361no—
1473C22⋊C4—2361no—
1474C22⋊C4—2361no—
1475C22⋊C4—2361no—
1476C22⋊C4—2361no—
1477C22⋊C4—2361no—
1478C22⋊C4—2361no—
1479C22⋊C4—2361no—
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⋊C4—2361no—
1489C22⋊C4—2361no—
1490C22⋊C4—2361no—
1491C22⋊C4—2361no—
1492C22⋊C4—2361no—
1493C22⋊C4—2361no—
1494C22⋊C4—2361no—
1495C22⋊C4—2361no—
1496C22⋊C4—2361no—
1497C22⋊C4—2361no—
1498C42—2361no—
1499C42—2361no—
1500C42—2361no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—28no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—44no—
1526C23—44no—
1527C23—44no—
1528C23—44no—
1529C23—44no—
1530C23—44no—
1531C23—592no—
1532C23—592no—
1533C23—1188no—
1534C23—1181no—
1535C23—1181no—
1536C23—1181no—
1537C23—1181no—
1538C23—1181no—
1539C23—1181no—
1540C23—1181no—
1541C23—1181no—
1542C23—1181no—
1543C23—1181no—
1544C23—1181no—
1545C23—1181no—
1546C23—1181no—
1547C23—1181no—
1548C23—1181no—
1549C23—1181no—
1550C23—1181no—
1551C23—1181no—
1552C23—1181no—
1553C23—1181no—
1554C23—1181no—
1555C23—1181no—
1556C23—1181no—
1557C23—1181no—
1558C23—1181no—
1559C23—1181no—
1560C23—4722no—
1561C23—4722no—
1562C23—4722no—
1563C23—4722no—
1564C23—4722no—
1565C23—4722no—
1566C23—4722no—
1567C23—4722no—
1568C23—4722no—
1569C23—4722no—
1570C23—2364no—
1571C23—2364no—
1572C23—2364no—
1573C23#41×D5912yes—
1574C23#1427377212yes—
1575C23#1427377212yes—
1576C23#1427377312yes—
1577C23#1427377312yes—
1578C23C24×D5911yescharacteristic
1579Q8—4722no—
1580D4—44no—
1581D4—82no—
1582D4—82no—
1583D4—4722no—
1584D4—4722no—
1585D4—4722no—
1586D4—4722no—
1587D4—4722no—
1588D4—4722no—
1589D4—4722no—
1590D4—4722no—
1591D4—2364no—
1592D4—2364no—
1593D4—2364no—
1594D4—2364no—
1595D4—2364no—
1596D4—2364no—
1597D4—2364no—
1598D4—2364no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—44no—
1632C2×C4—44no—
1633C2×C4—44no—
1634C2×C4—44no—
1635C2×C4—44no—
1636C2×C4—44no—
1637C2×C4—1181no—
1638C2×C4—1181no—
1639C2×C4—1181no—
1640C2×C4—1181no—
1641C2×C4—1181no—
1642C2×C4—1181no—
1643C2×C4—1181no—
1644C2×C4—1181no—
1645C2×C4—1181no—
1646C2×C4—1181no—
1647C2×C4—1181no—
1648C2×C4—1181no—
1649C2×C4—1181no—
1650C2×C4—1181no—
1651C2×C4—1181no—
1652C2×C4—1181no—
1653C2×C4—1181no—
1654C2×C4—1181no—
1655C2×C4—1181no—
1656C2×C4—1181no—
1657C2×C4—1181no—
1658C2×C4—1181no—
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—4722no—
1674C2×C4—4722no—
1675C2×C4—4722no—
1676C2×C4—4722no—
1677C2×C4—4722no—
1678C2×C4—2364no—
1679C2×C4—2364no—
1680C2×C4#1427377212yes—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—416no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—1182no—
1710C22—1182no—
1711C22—1182no—
1712C22—1182no—
1713C22—1182no—
1714C22—1182no—
1715C22—4728no—
1716C22—4728no—
1717C22—2361no—
1718C22—2361no—
1719C22—2361no—
1720C22—2361no—
1721C22—2361no—
1722C22—2361no—
1723C22—2361no—
1724C22—2361no—
1725C22—2361no—
1726C22—2361no—
1727C22—2361no—
1728C22—2361no—
1729C22—2361no—
1730C22—2361no—
1731C22—2361no—
1732C22—2361no—
1733C22—2361no—
1734C22—2361no—
1735C22—2361no—
1736C22—2361no—
1737C22—2361no—
1738C22—2361no—
1739C22#1683798814yes—
1740C22C2×#41×D5911yescharacteristic
1741C22C2×#1427377211yescharacteristic
1742C22C2×#1427377211yescharacteristic
1743C22C2×#1427377211yescharacteristic
1744C22C2×#1427377311yescharacteristic
1745C22C2×#1427377311yescharacteristic
1746C22#1683823811yescharacteristic
1747C4—22no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—2361no—
1759C4—2361no—
1760C4—2361no—
1761C4—2361no—
1762C4—2361no—
1763C4—2361no—
1764C4—2361no—
1765C4—2361no—
1766C4—2361no—
1767C4—2361no—
1768C4—2361no—
1769C4—2361no—
1770C2—24no—
1771C2—42no—
1772C2—42no—
1773C2—81no—
1774C2—4721no—
1775C2—4721no—
1776C2—2362no—
1777C2—2362no—
1778C2C2×#1683798811yescharacteristic
1779C2#2143777911yescharacteristic
1780C2#2143792411yescharacteristic
1781C2#2143825111yescharacteristic
1782C2#2143828011yescharacteristic
1783C2#2143829011yescharacteristic
1784C2#2143833511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2849C2
hypercenter#2849D59
hypocenterC59#36776
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2849

Complements

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

NH ≅ G/Ntype
1. #21432378C2semidirect
2. #21431718C2semidirect
3. #21431708C2semidirect
4. #21431473C2semidirect
5. #21431337C2semidirect
6. #21431320C2semidirect
7. #21431315C2semidirect
8. #21431235C2semidirect
9. #21430733C2semidirect
10. #21430655C2semidirect
11. #21430642C2semidirect
12. #21430532C2semidirect
13. #21430527C2semidirect
14. #21430473C2semidirect
15. #21430415C2semidirect
16. #21430400C2semidirect
17. #21430302C2semidirect
18. #21430052C2semidirect
19. #21430026C2semidirect
20. #21428660C2semidirect
21. #21428219C2semidirect
22. #21427850C2semidirect
23. #21427760C2semidirect
24. #21427628C2semidirect
25. #21427472C2semidirect
26. #21427469C2semidirect
27. #21427407C2semidirect
28. #21426753C2semidirect
29. #21426670C2semidirect
30. C2×#16837281C2semidirect
31. C59×#2849C2semidirect
34. C2×#14273713C22semidirect
35. C2×#14273707C22semidirect
36. C2×#14273704C22semidirect
38. C2×#14273701C22semidirect
39. C2×#14273701C22semidirect
40. C2×#14273700C22semidirect
41. C2×#14273700C22semidirect
43. C2×#14273698C22semidirect
45. C2×#14273697C22semidirect
47. C2×#14273696C22semidirect
50. C2×(C22⋊D59)⋊C4C22semidirect
51. C22×C22⋊Dic59C22semidirect
55. C59⋊#401C22semidirect
56. C59⋊#401C22semidirect
57. #16837344C22semidirect
58. #16837344C22semidirect
59. #16837344C22semidirect
60. #16837344C22semidirect
61. #16837343C22semidirect
62. #16837341C22semidirect
63. #16837340C22semidirect
64. #16837339C22semidirect
65. #16837331C22semidirect
66. #16837331C22semidirect
67. #16837331C22semidirect
68. #16837330C22semidirect
69. #16837330C22semidirect
70. #16837330C22semidirect
71. #16837329C22semidirect
72. #16837328C22semidirect
73. #16837328C22semidirect
74. #16837327C22semidirect
75. #16837325C22semidirect
76. #16837324C22semidirect
77. #16837324C22semidirect
78. #16837324C22semidirect
79. #16837320C22semidirect
80. #16837319C22semidirect
81. #16837318C22semidirect
82. #16837318C22semidirect
83. #16837318C22semidirect
84. #16837318C22semidirect
87. #16837317C22semidirect
88. #16837317C22semidirect
89. #16837316C22semidirect
90. #16837315C22semidirect
91. #16837315C22semidirect
92. #16837314C22semidirect
93. #16837314C22semidirect
94. #16837312C22semidirect
99. #16837311C22semidirect
102. #16837310C22semidirect
103. #16837305C22semidirect
104. #16837303C22semidirect
105. #16837303C22semidirect
106. #16837302C22semidirect
107. #16837296C22semidirect
108. #16837295C22semidirect
109. #16837295C22semidirect
110. #16837292C22semidirect
111. #16837292C22semidirect
112. #16837292C22semidirect
113. #16837291C22semidirect
114. #16837291C22semidirect
115. #16837290C22semidirect
116. #16837290C22semidirect
117. #16837288C22semidirect
118. #16837287C22semidirect
126. #16837281C22semidirect
127. #16837281C22semidirect
128. #16837281C22semidirect
129. #16837281C22semidirect
130. #16837281C22semidirect
131. #16837281C22semidirect
132. #16837281C22semidirect
133. #16837281C22semidirect
134. #16837281C22semidirect
135. #16837280C22semidirect
136. #16837280C22semidirect
137. #16837280C22semidirect
138. #16837280C22semidirect
139. #16837280C22semidirect
140. #16837280C22semidirect
144. #16837279C22semidirect
147. #16837278C22semidirect
148. #16837278C22semidirect
149. #16837278C22semidirect
150. #16837278C22semidirect
151. #16837278C22semidirect
152. #16837277C22semidirect
153. #16837276C22semidirect
154. #16837276C22semidirect
155. #16837276C22semidirect
156. #16837274C22semidirect
157. #16837269C22semidirect
158. #16837264C22semidirect
159. #16837264C22semidirect
160. #16837264C22semidirect
161. #16837262C22semidirect
162. #16837262C22semidirect
163. #16837262C22semidirect
164. #16837259C22semidirect
166. #16837257C22semidirect
167. #16837257C22semidirect
168. #16837257C22semidirect
169. C22⋊C4×Dic59C22semidirect
170. C2×C59⋊#95C22semidirect
171. C2×C59⋊#95C22semidirect
172. C24×C4×C59C22semidirect
173. C2×#123×C59C22semidirect
174. C2×#123×C59C22semidirect
178. C59×#386C22semidirect
179. C59×#386C22semidirect
180. C59×#385C22semidirect
181. C59×#385C22semidirect
182. C59×#385C22semidirect
183. C59×#385C22semidirect
184. C59×#381C22semidirect
185. C59×#381C22semidirect
186. C59×#379C22semidirect
878. #2849D59semidirect
926. C24×C4C2×D59semidirect
928. C2×#123C2×D59semidirect
929. C2×#123C2×D59semidirect
1050. #386C2×D59semidirect
1051. #386C2×D59semidirect
1057. #385C2×D59semidirect
1058. #385C2×D59semidirect
1059. #385C2×D59semidirect
1060. #385C2×D59semidirect
1065. #381C2×D59semidirect
1066. #381C2×D59semidirect
1075. #379C2×D59semidirect
1079. C59#36776semidirect

Maximal subgroups

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

subgroupindex
#214323782
#214317182
#214317082
#214314732
#214313372
#214313202
#214313152
#214312352
#214307332
#214306552
#214306422
#214305322
#214305272
#214304732
#214304152
#214304002
#214303022
#214300522
#214300262
#214286602
#214282192
#214278502
#214277602
#214276282
#214274722
#214274692
#214274072
#214267532
#214266702
C2×#168372812
C59×#28492
#3677659