Finite Group Databasebeta

← C59×#35373 #28447482

Subgroups — C59×#35373 #28447482

Order 15104.

2076 conjugacy classes of subgroups.

The subgroup lattice has 1546 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C59×#2576C211yesmaximal, characteristic, complemented
2C59×#2575C211yesmaximal, characteristic, complemented
3C59×#2573C211yesmaximal, characteristic, complemented
4C59×#2572C211yesmaximal, characteristic, complemented
5C59×#2527C211yesmaximal, characteristic, complemented
6C59×#2526C211yesmaximal, characteristic, complemented
7C59×#2516C211yesmaximal, characteristic, complemented
8C59×#2515C211yesmaximal, characteristic, complemented
9C59×#2510C211yesmaximal, characteristic, complemented
10C59×#2505C211yesmaximal, characteristic, complemented
11C59×#2480C211yesmaximal, characteristic, complemented
12C59×#2472C211yesmaximal, characteristic, complemented
13C59×#2468C211yesmaximal, characteristic, complemented
14C59×#2466C211yesmaximal, characteristic, complemented
15C59×#2459C211yesmaximal, characteristic, complemented
16C59×#2457C211yesmaximal, characteristic, complemented
17C59×#2450C211yesmaximal, characteristic, complemented
18C59×#2447C211yesmaximal, characteristic, complemented
19C59×#2444C211yesmaximal, characteristic, complemented
20C59×#2444C211yesmaximal, characteristic, complemented
21C59×#2424C211yesmaximal, characteristic
22C59×#2420C211yesmaximal, characteristic, complemented
23C59×#2419C211yesmaximal, characteristic, complemented
24C59×#2418C211yesmaximal, characteristic, complemented
25C59×#2329C211yesmaximal, characteristic, complemented
26C59×#2325C211yesmaximal, characteristic, complemented
27C59×#2318C211yesmaximal, characteristic, complemented
28C4×#120×C59C211yesmaximal, characteristic, complemented
29C4×#120×C59C211yesmaximal, characteristic, complemented
30C2×C59×#381C211yesmaximal, characteristic, complemented
31C59×#2275C211yesmaximal, characteristic, complemented
32C24×C4×C59C2211yescharacteristic
33C2×#126×C59C2211yescharacteristic
34C2×#124×C59C2211yescharacteristic
35C2×#123×C59C2211yescharacteristic
36C2×C22⋊Q8×C59C2211yescharacteristic
37C2×#121×C59C2211yescharacteristic
38C2×#121×C59C2211yescharacteristic
39C2×#120×C59C2211yescharacteristic
40C2×#120×C59C2211yescharacteristic
41C2×C4×D4×C59C2211yescharacteristic
42C2×C4×D4×C59C2211yescharacteristic
43C2×C4×D4×C59C2211yescharacteristic
44C2×C4×D4×C59C2211yescharacteristic
45C2×C4×D4×C59C2211yescharacteristic
46C2×C4×D4×C59C2211yescharacteristic
47C2×C4×D4×C59C2211yescharacteristic
48C2×C4×D4×C59C2211yescharacteristic
49C22×C22⋊C4×C59C2211yescharacteristic
50C22×C22⋊C4×C59C2211yescharacteristic
51C59×#401C2211yescharacteristic, complemented
52C59×#400C2211yescharacteristic, complemented
53C59×#400C2211yescharacteristic, complemented
54C59×#400C2211yescharacteristic, complemented
55C59×#400C2211yescharacteristic, complemented
56C59×#400C2211yescharacteristic, complemented
57C59×#400C2211yescharacteristic, complemented
58C59×#399C2211yescharacteristic
59C59×#398C2211yescharacteristic, complemented
60C59×#398C2211yescharacteristic, complemented
61C59×#397C2211yescharacteristic
62C59×#397C2211yescharacteristic
63C59×#397C2211yescharacteristic
64C59×#397C2211yescharacteristic
65C59×#397C2211yescharacteristic
66C59×#397C2211yescharacteristic, complemented
67C59×#397C2211yescharacteristic, complemented
68C59×#397C2211yescharacteristic, complemented
69C59×#397C2211yescharacteristic, complemented
70C59×#396C2211yescharacteristic
71C59×#396C2211yescharacteristic
72C59×#396C2211yescharacteristic, complemented
73C59×#394C2211yescharacteristic
74C59×#394C2211yescharacteristic
75C59×#394C2211yescharacteristic
76C59×#394C2211yescharacteristic
77C59×#394C2211yescharacteristic
78C59×#394C2211yescharacteristic
79C59×#394C2211yescharacteristic, complemented
80C59×#393C2211yescharacteristic
81C59×#393C2211yescharacteristic, complemented
82C59×#392C2211yescharacteristic
83C59×#391C2211yescharacteristic, complemented
84C59×#391C2211yescharacteristic, complemented
85C59×#391C2211yescharacteristic, complemented
86C59×#390C2211yescharacteristic
87C59×#390C2211yescharacteristic
88C59×#389C2211yescharacteristic, complemented
89C59×#389C2211yescharacteristic, complemented
90C59×#389C2211yescharacteristic, complemented
91C59×#388C2211yescharacteristic
92C59×#388C2211yescharacteristic
93C59×#388C2211yescharacteristic
94C59×#388C2211yescharacteristic
95C59×#388C2211yescharacteristic
96C59×#388C2211yescharacteristic
97C59×#388C2211yescharacteristic
98C59×#388C2211yescharacteristic
99C59×#388C2211yescharacteristic, complemented
100C59×#388C2211yescharacteristic, complemented
101C59×#388C2211yescharacteristic, complemented
102C59×#388C2211yescharacteristic, complemented
103C59×#388C2211yescharacteristic, complemented
104C59×#388C2211yescharacteristic, complemented
105C59×#388C2211yescharacteristic, complemented
106C59×#387C2211yescharacteristic, complemented
107C59×#387C2211yescharacteristic, complemented
108C59×#387C2211yescharacteristic, complemented
109C59×#387C2211yescharacteristic, complemented
110C59×#387C2211yescharacteristic, complemented
111C59×#387C2211yescharacteristic, complemented
112C59×#387C2211yescharacteristic, complemented
113C59×#387C2211yescharacteristic, complemented
114C59×#387C2211yescharacteristic, complemented
115C59×#387C2211yescharacteristic, complemented
116C59×#387C2211yescharacteristic, complemented
117C59×#387C2211yescharacteristic, complemented
118C59×#387C2211yescharacteristic, complemented
119C59×#386C2211yescharacteristic
120C59×#386C2211yescharacteristic
121C59×#386C2211yescharacteristic
122C59×#386C2211yescharacteristic
123C59×#386C2211yescharacteristic
124C59×#386C2211yescharacteristic
125C59×#386C2211yescharacteristic
126C59×#386C2211yescharacteristic
127C59×#386C2211yescharacteristic
128C59×#386C2211yescharacteristic
129C59×#386C2211yescharacteristic
130C59×#386C2211yescharacteristic
131C59×#386C2211yescharacteristic, complemented
132C59×#386C2211yescharacteristic, complemented
133C59×#386C2211yescharacteristic, complemented
134C59×#385C2211yescharacteristic
135C59×#385C2211yescharacteristic
136C59×#385C2211yescharacteristic
137C59×#385C2211yescharacteristic
138C59×#385C2211yescharacteristic
139C59×#385C2211yescharacteristic
140C59×#385C2211yescharacteristic
141C59×#385C2211yescharacteristic
142C59×#385C2211yescharacteristic
143C59×#385C2211yescharacteristic
144C59×#385C2211yescharacteristic, complemented
145C59×#385C2211yescharacteristic, complemented
146C59×#385C2211yescharacteristic, complemented
147C59×#383C2211yescharacteristic, complemented
148C59×#383C2211yescharacteristic, complemented
149C59×#382C2211yescharacteristic, complemented
150C59×#382C2211yescharacteristic, complemented
151C59×#381C2211yescharacteristic
152C59×#381C2211yescharacteristic
153C59×#381C2211yescharacteristic
154C59×#381C2211yescharacteristic
155C59×#381C2211yescharacteristic
156C59×#381C2211yescharacteristic
157C59×#381C2211yescharacteristic
158C59×#381C2211yescharacteristic
159C59×#381C2211yescharacteristic, complemented
160C59×#381C2211yescharacteristic, complemented
161C59×#380C2211yescharacteristic
162C59×#380C2211yescharacteristic
163C59×#380C2211yescharacteristic, complemented
164C59×#380C2211yescharacteristic, complemented
165C59×#379C2211yescharacteristic
166C59×#379C2211yescharacteristic
167C4×C4⋊C4×C59C2211yescharacteristic, complemented
168C4×C4⋊C4×C59C2211yescharacteristic, complemented
169C4×C4⋊C4×C59C2211yescharacteristic, complemented
170C4×C22⋊C4×C59C2211yescharacteristic
171C4×C22⋊C4×C59C2211yescharacteristic
172C4×C22⋊C4×C59C2211yescharacteristic
173C4×C22⋊C4×C59C2211yescharacteristic
174C4×C22⋊C4×C59C2211yescharacteristic
175C4×C22⋊C4×C59C2211yescharacteristic
176C4×C22⋊C4×C59C2211yescharacteristic
177C4×C22⋊C4×C59C2211yescharacteristic
178C4×C22⋊C4×C59C2211yescharacteristic, complemented
179C4×C22⋊C4×C59C2211yescharacteristic, complemented
180C4×C22⋊C4×C59C2211yescharacteristic, complemented
181C59×#376C2211yescharacteristic, complemented
182C2×#95×C59C2211yescharacteristic
183C2×#95×C59C2211yescharacteristic
184C2×#95×C59C2211yescharacteristic
185C2×#95×C59C2211yescharacteristic
186C2×#95×C59C2211yescharacteristic, complemented
187C25×C59C2311yescharacteristic
188C22×Q8×C59C2311yescharacteristic
189C22×D4×C59C2311yescharacteristic
190C22×D4×C59C2311yescharacteristic
191C22×D4×C59C2311yescharacteristic
192C22×D4×C59C2311yescharacteristic
193C22×D4×C59C2311yescharacteristic
194C22×D4×C59C2311yescharacteristic
195C22×D4×C59C2311yescharacteristic
196C23×C4×C59—24no—
197C23×C4×C59—42no—
198C23×C4×C59—42no—
199C23×C4×C59C2311yescharacteristic
200C23×C4×C59C2311yescharacteristic
201C23×C4×C59C2311yescharacteristic
202C23×C4×C59C2311yescharacteristic
203C23×C4×C59C2311yescharacteristic
204C23×C4×C59C2311yescharacteristic
205C23×C4×C59C2311yescharacteristic
206C23×C4×C59C2311yescharacteristic
207C23×C4×C59C2311yescharacteristic
208C23×C4×C59C2311yescharacteristic
209C23×C4×C59C2311yescharacteristic
210C23×C4×C59C2311yescharacteristic
211C23×C4×C59C2311yescharacteristic
212C23×C4×C59C2311yescharacteristic
213#126×C59—42no—
214#124×C59—42no—
215#123×C59—42no—
216C22⋊Q8×C59—24no—
217#121×C59—24no—
218#121×C59—42no—
219#120×C59—24no—
220#120×C59—24no—
221C4×D4×C59—24no—
222C4×D4×C59—24no—
223C4×D4×C59—24no—
224C4×D4×C59—24no—
225C4×D4×C59—42no—
226C4×D4×C59—42no—
227C4×D4×C59—42no—
228C4×D4×C59—42no—
229C2×C4⋊C4×C59C2311yescharacteristic
230C2×C4⋊C4×C59C2311yescharacteristic
231C2×C4⋊C4×C59C2311yescharacteristic
232C2×C4⋊C4×C59C2311yescharacteristic
233C2×C4⋊C4×C59C2311yescharacteristic
234C2×C4⋊C4×C59C2311yescharacteristic
235C2×C4⋊C4×C59C2311yescharacteristic
236C2×C4⋊C4×C59C2311yescharacteristic
237C2×C4⋊C4×C59C2311yescharacteristic
238C2×C4⋊C4×C59C2311yescharacteristic
239C2×C4⋊C4×C59C2311yescharacteristic
240C2×C4⋊C4×C59C2311yescharacteristic
241C2×C4⋊C4×C59C2311yescharacteristic
242C2×C4⋊C4×C59C2311yescharacteristic
243C2×C4⋊C4×C59C2311yescharacteristic
244C2×C4⋊C4×C59C2311yescharacteristic
245C2×C4⋊C4×C59C2311yescharacteristic
246C2×C4⋊C4×C59C2311yescharacteristic
247C2×C4⋊C4×C59C2311yescharacteristic
248C2×C4⋊C4×C59C2311yescharacteristic
249C2×C4⋊C4×C59C2311yescharacteristic
250C2×C4⋊C4×C59C2311yescharacteristic
251C2×C4⋊C4×C59C2311yescharacteristic
252C2×C4⋊C4×C59C2311yescharacteristic
253C2×C22⋊C4×C59—42no—
254C2×C22⋊C4×C59—42no—
255C2×C22⋊C4×C59C2311yescharacteristic
256C2×C22⋊C4×C59C2311yescharacteristic
257C2×C22⋊C4×C59C2311yescharacteristic
258C2×C22⋊C4×C59C2311yescharacteristic
259C2×C22⋊C4×C59C2311yescharacteristic
260C2×C22⋊C4×C59C2311yescharacteristic
261C2×C22⋊C4×C59C2311yescharacteristic
262C2×C22⋊C4×C59C2311yescharacteristic
263C2×C22⋊C4×C59C2311yescharacteristic
264C2×C22⋊C4×C59C2311yescharacteristic
265C2×C22⋊C4×C59C2311yescharacteristic
266C2×C22⋊C4×C59C2311yescharacteristic
267C2×C22⋊C4×C59C2311yescharacteristic
268C2×C22⋊C4×C59C2311yescharacteristic
269C2×C22⋊C4×C59C2311yescharacteristic
270C2×C22⋊C4×C59C2311yescharacteristic
271C2×C22⋊C4×C59C2311yescharacteristic
272C2×C22⋊C4×C59C2311yescharacteristic
273C2×C22⋊C4×C59C2311yescharacteristic
274C2×C22⋊C4×C59C2311yescharacteristic
275C2×C22⋊C4×C59C2311yescharacteristic
276C2×C22⋊C4×C59C2311yescharacteristic
277C2×C22⋊C4×C59C2311yescharacteristic
278C2×C22⋊C4×C59C2311yescharacteristic
279C2×C22⋊C4×C59C2311yescharacteristic
280C2×C22⋊C4×C59C2311yescharacteristic
281C2×C22⋊C4×C59C2311yescharacteristic
282C2×C22⋊C4×C59C2311yescharacteristic
283C2×C22⋊C4×C59C2311yescharacteristic
284C2×C22⋊C4×C59C2311yescharacteristic
285C2×C22⋊C4×C59C2311yescharacteristic
286C2×C22⋊C4×C59C2311yescharacteristic
287C2×C22⋊C4×C59C2311yescharacteristic
288C2×C22⋊C4×C59C2311yescharacteristic
289C2×C22⋊C4×C59C2311yescharacteristic
290C2×C22⋊C4×C59C2311yescharacteristic
291C2×C22⋊C4×C59C2311yescharacteristic
292C2×C22⋊C4×C59C2311yescharacteristic
293C2×C22⋊C4×C59C2311yescharacteristic
294C2×C22⋊C4×C59C2311yescharacteristic
295C2×C22⋊C4×C59C2311yescharacteristic
296C2×C22⋊C4×C59C2311yescharacteristic
297C2×C22⋊C4×C59C2311yescharacteristic
298C2×C22⋊C4×C59C2311yescharacteristic
299C2×C42×C59C2311yescharacteristic
300C2×C42×C59C2311yescharacteristic
301C2×C42×C59C2311yescharacteristic
302C2×C42×C59C2311yescharacteristic
303C2×C42×C59C2311yescharacteristic
304C2×C42×C59C2311yescharacteristic
305C2×C42×C59C2311yescharacteristic
306C2×C42×C59C2311yescharacteristic
307C2×C42×C59C2311yescharacteristic
308C2×C42×C59C2311yescharacteristic
309C2×C42×C59C2311yescharacteristic
310C2×C42×C59C2311yescharacteristic
311#95×C59C2311yescharacteristic
312#95×C59C2311yescharacteristic
313#95×C59C2311yescharacteristic
314#95×C59C2311yescharacteristic
315#95×C59C2311yescharacteristic
316#95×C59C2311yescharacteristic
317#95×C59C2311yescharacteristic
318#95×C59C2311yescharacteristic
319#95×C59C2311yescharacteristic
320#95×C59C2311yescharacteristic
321#95×C59C2311yescharacteristic
322#95×C59C2311yescharacteristic
323#95×C59C2311yescharacteristic
324#95×C59C2311yescharacteristic
325#95×C59C2311yescharacteristic
326#95×C59C2311yescharacteristic
327#95×C59C2311yescharacteristic
328#95×C59C2311yescharacteristic
329#95×C59C2311yescharacteristic
330#95×C59C2311yescharacteristic
331#95×C59C2311yescharacteristic
332#95×C59C2311yescharacteristic
333#95×C59C2311yescharacteristic
334#95×C59C2311yescharacteristic
335#95×C59C2311yescharacteristic
336#95×C59C2311yescharacteristic
337#95×C59C2311yescharacteristic
338#95×C59C2311yescharacteristic
339#95×C59C2311yescharacteristic
340#95×C59C2311yescharacteristic
341#95×C59C2311yescharacteristic
342#95×C59C2311yescharacteristic
343#95×C59C2311yescharacteristic
344#95×C59C2311yescharacteristic
345#95×C59C2311yescharacteristic
346#95×C59C2311yescharacteristic
347#95×C59C2311yescharacteristic
348#95×C59C2311yescharacteristic
349#95×C59C2311yescharacteristic
350#95×C59C2311yescharacteristic
351#95×C59C2311yescharacteristic
352#95×C59C2311yescharacteristic
353#95×C59C2311yescharacteristic
354#95×C59C2311yescharacteristic
355#95×C59C2311yescharacteristic
356#95×C59C2311yescharacteristic
357#95×C59C2311yescharacteristic
358#95×C59C2311yescharacteristic
359#95×C59C2311yescharacteristic
360#95×C59C2311yescharacteristic
361#95×C59C2311yescharacteristic
362#95×C59C2311yescharacteristic
363C24×C59—22no—
364C24×C59—22no—
365C24×C59—22no—
366C24×C59—22no—
367C24×C59—22no—
368C24×C59—41no—
369C24×C59—41no—
370C24×C59C2411yescharacteristic
371C24×C59C2411yescharacteristic
372C24×C59C2411yescharacteristic
373C24×C59C2411yescharacteristic
374C24×C59C2411yescharacteristic
375C2×Q8×C59—22no—
376C2×Q8×C59—41no—
377C2×Q8×C59—41no—
378C2×D4×C59—22no—
379C2×D4×C59—22no—
380C2×D4×C59—22no—
381C2×D4×C59—22no—
382C2×D4×C59—22no—
383C2×D4×C59—22no—
384C2×D4×C59—22no—
385C2×D4×C59—22no—
386C2×D4×C59—22no—
387C2×D4×C59—22no—
388C2×D4×C59—22no—
389C2×D4×C59—22no—
390C2×D4×C59—22no—
391C2×D4×C59—22no—
392C2×D4×C59—41no—
393C2×D4×C59—41no—
394C2×D4×C59—41no—
395C2×D4×C59—41no—
396C2×D4×C59—41no—
397C2×D4×C59—41no—
398C2×D4×C59#4114yes—
399C22×C4×C59—22no—
400C22×C4×C59—22no—
401C22×C4×C59—22no—
402C22×C4×C59—22no—
403C22×C4×C59—22no—
404C22×C4×C59—22no—
405C22×C4×C59—22no—
406C22×C4×C59—22no—
407C22×C4×C59—22no—
408C22×C4×C59—22no—
409C22×C4×C59—22no—
410C22×C4×C59—22no—
411C22×C4×C59—22no—
412C22×C4×C59—22no—
413C22×C4×C59—22no—
414C22×C4×C59—22no—
415C22×C4×C59—22no—
416C22×C4×C59—41no—
417C22×C4×C59—41no—
418C22×C4×C59—41no—
419C22×C4×C59—41no—
420C22×C4×C59—41no—
421C22×C4×C59—41no—
422C22×C4×C59—41no—
423C22×C4×C59—41no—
424C22×C4×C59—41no—
425C22×C4×C59—41no—
426C22×C4×C59—41no—
427C22×C4×C59—41no—
428C22×C4×C59—41no—
429C22×C4×C59—41no—
430C22×C4×C59—41no—
431C22×C4×C59—41no—
432C22×C4×C59—41no—
433C22×C4×C59—41no—
434C22×C4×C59—41no—
435C22×C4×C59—41no—
436C22×C4×C59—41no—
437C22×C4×C59—41no—
438C22×C4×C59—41no—
439C22×C4×C59—41no—
440C22×C4×C59—416no—
441C22×C4×C59#4114yes—
442C22×C4×C59C2411yescharacteristic
443C22×C4×C59C2411yescharacteristic
444C22×C4×C59C2411yescharacteristic
445C22×C4×C59C2411yescharacteristic
446C22×C4×C59C2411yescharacteristic
447C22×C4×C59C2411yescharacteristic
448C22×C4×C59C2411yescharacteristic
449C22×C4×C59C2411yescharacteristic
450C22×C4×C59C2411yescharacteristic
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
461C22×C4×C59C2411yescharacteristic
462C22×C4×C59C2411yescharacteristic
463C22×C4×C59C2411yescharacteristic
464C22×C4×C59C2411yescharacteristic
465C22×C4×C59C2411yescharacteristic
466C22×C4×C59C2411yescharacteristic
467C22×C4×C59C2411yescharacteristic
468C4⋊C4×C59—22no—
469C4⋊C4×C59—22no—
470C4⋊C4×C59—22no—
471C4⋊C4×C59—22no—
472C4⋊C4×C59—22no—
473C4⋊C4×C59—22no—
474C4⋊C4×C59—22no—
475C4⋊C4×C59—22no—
476C4⋊C4×C59—41no—
477C4⋊C4×C59—41no—
478C4⋊C4×C59—41no—
479C4⋊C4×C59—41no—
480C4⋊C4×C59—41no—
481C4⋊C4×C59—41no—
482C4⋊C4×C59—41no—
483C4⋊C4×C59—41no—
484C4⋊C4×C59—41no—
485C4⋊C4×C59—41no—
486C4⋊C4×C59—41no—
487C4⋊C4×C59—41no—
488C4⋊C4×C59—41no—
489C4⋊C4×C59—41no—
490C4⋊C4×C59—41no—
491C4⋊C4×C59—41no—
492C22⋊C4×C59—22no—
493C22⋊C4×C59—22no—
494C22⋊C4×C59—22no—
495C22⋊C4×C59—22no—
496C22⋊C4×C59—22no—
497C22⋊C4×C59—22no—
498C22⋊C4×C59—22no—
499C22⋊C4×C59—22no—
500C22⋊C4×C59—22no—
501C22⋊C4×C59—22no—
502C22⋊C4×C59—22no—
503C22⋊C4×C59—22no—
504C22⋊C4×C59—22no—
505C22⋊C4×C59—22no—
506C22⋊C4×C59—22no—
507C22⋊C4×C59—22no—
508C22⋊C4×C59—22no—
509C22⋊C4×C59—22no—
510C22⋊C4×C59—22no—
511C22⋊C4×C59—22no—
512C22⋊C4×C59—22no—
513C22⋊C4×C59—22no—
514C22⋊C4×C59—22no—
515C22⋊C4×C59—41no—
516C22⋊C4×C59—41no—
517C22⋊C4×C59—41no—
518C22⋊C4×C59—41no—
519C22⋊C4×C59—41no—
520C22⋊C4×C59—41no—
521C22⋊C4×C59—41no—
522C22⋊C4×C59—41no—
523C22⋊C4×C59—41no—
524C22⋊C4×C59—41no—
525C22⋊C4×C59—41no—
526C22⋊C4×C59—41no—
527C22⋊C4×C59—41no—
528C22⋊C4×C59—41no—
529C22⋊C4×C59—41no—
530C22⋊C4×C59—41no—
531C22⋊C4×C59—41no—
532C22⋊C4×C59—41no—
533C22⋊C4×C59—41no—
534C22⋊C4×C59—41no—
535C22⋊C4×C59#4114yes—
536C42×C59—22no—
537C42×C59—22no—
538C42×C59—22no—
539C42×C59—22no—
540C42×C59—41no—
541C42×C59—41no—
542C42×C59—41no—
543C42×C59—41no—
544C42×C59—41no—
545C42×C59—41no—
546C42×C59—41no—
547C42×C59—41no—
548C23×C59—21no—
549C23×C59—21no—
550C23×C59—21no—
551C23×C59—21no—
552C23×C59—28no—
553C23×C59—21no—
554C23×C59—21no—
555C23×C59—21no—
556C23×C59—21no—
557C23×C59—21no—
558C23×C59—21no—
559C23×C59—21no—
560C23×C59—21no—
561C23×C59—21no—
562C23×C59—21no—
563C23×C59—21no—
564C23×C59—21no—
565C23×C59—21no—
566C23×C59—21no—
567C23×C59—21no—
568C23×C59—21no—
569C23×C59—21no—
570C23×C59—21no—
571C23×C59—21no—
572C23×C59—21no—
573C23×C59—21no—
574C23×C59—21no—
575C23×C59—21no—
576C23×C59—21no—
577C23×C59—21no—
578C23×C59—44no—
579C23×C59—44no—
580C23×C59—44no—
581C23×C59—44no—
582C23×C59—44no—
583C23×C59—44no—
584C23×C59C2×#4112yes—
585C23×C59C2×#4112yes—
586C23×C59C2×#4112yes—
587C23×C59C2×#4112yes—
588C23×C59H(5,𝔽2)12yes—
589C23×C59H(5,𝔽2)12yes—
590C23×C59C2511yescharacteristic
591Q8×C59—82no—
592D4×C59—28no—
593D4×C59—44no—
594D4×C59—44no—
595D4×C59—44no—
596D4×C59—44no—
597D4×C59—44no—
598D4×C59—82no—
599C2×C4×C59—21no—
600C2×C4×C59—21no—
601C2×C4×C59—21no—
602C2×C4×C59—21no—
603C2×C4×C59—21no—
604C2×C4×C59—21no—
605C2×C4×C59—21no—
606C2×C4×C59—21no—
607C2×C4×C59—21no—
608C2×C4×C59—21no—
609C2×C4×C59—21no—
610C2×C4×C59—21no—
611C2×C4×C59—21no—
612C2×C4×C59—21no—
613C2×C4×C59—21no—
614C2×C4×C59—21no—
615C2×C4×C59—21no—
616C2×C4×C59—21no—
617C2×C4×C59—21no—
618C2×C4×C59—21no—
619C2×C4×C59—21no—
620C2×C4×C59—21no—
621C2×C4×C59—21no—
622C2×C4×C59—21no—
623C2×C4×C59—21no—
624C2×C4×C59—21no—
625C2×C4×C59—21no—
626C2×C4×C59—21no—
627C2×C4×C59—21no—
628C2×C4×C59—21no—
629C2×C4×C59—21no—
630C2×C4×C59—21no—
631C2×C4×C59—21no—
632C2×C4×C59—21no—
633C2×C4×C59—21no—
634C2×C4×C59—21no—
635C2×C4×C59—21no—
636C2×C4×C59—21no—
637C2×C4×C59—21no—
638C2×C4×C59—21no—
639C2×C4×C59—21no—
640C2×C4×C59—21no—
641C2×C4×C59—21no—
642C2×C4×C59—21no—
643C2×C4×C59—21no—
644C2×C4×C59—21no—
645C2×C4×C59—21no—
646C2×C4×C59—21no—
647C2×C4×C59—21no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—21no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59—21no—
665C2×C4×C59—21no—
666C2×C4×C59—21no—
667C2×C4×C59—21no—
668C2×C4×C59—21no—
669C2×C4×C59—21no—
670C2×C4×C59—21no—
671C2×C4×C59—21no—
672C2×C4×C59—44no—
673C2×C4×C59—44no—
674C2×C4×C59—44no—
675C2×C4×C59—44no—
676C2×C4×C59—44no—
677C2×C4×C59—44no—
678C2×C4×C59—82no—
679C2×C4×C59—82no—
680C2×C4×C59—82no—
681C2×C4×C59—82no—
682C2×C4×C59—82no—
683C2×C4×C59—82no—
684C2×C4×C59—82no—
685C2×C4×C59—82no—
686C2×C4×C59C2×#4112yes—
687C2×C4×C59C2×#4112yes—
688C2×C4×C59C2×#4112yes—
689C2×C4×C59C2×#4112yes—
690C2×C4×C59C2×#4112yes—
691#35373C5911yesmaximal, characteristic, direct product factor, Sylow
692C22×C59—22no—
693C22×C59—22no—
694C22×C59—22no—
695C22×C59—22no—
696C22×C59—22no—
697C22×C59—22no—
698C22×C59—22no—
699C22×C59—22no—
700C22×C59—22no—
701C22×C59—22no—
702C22×C59—22no—
703C22×C59—22no—
704C22×C59—22no—
705C22×C59—22no—
706C22×C59—22no—
707C22×C59—416no—
708C22×C59—41no—
709C22×C59—41no—
710C22×C59—41no—
711C22×C59—41no—
712C22×C59—41no—
713C22×C59—41no—
714C22×C59—41no—
715C22×C59—41no—
716C22×C59—41no—
717C22×C59—41no—
718C22×C59—41no—
719C22×C59—41no—
720C22×C59—41no—
721C22×C59—41no—
722C22×C59—41no—
723C22×C59—41no—
724C22×C59—41no—
725C22×C59—41no—
726C22×C59—41no—
727C22×C59#52914yes—
728C22×C59C22×#4111yescharacteristic
729C22×C59C22×#4111yescharacteristic
730C22×C59C22×#4111yescharacteristic
731C22×C59C2×H(5,𝔽2)11yescharacteristic
732C22×C59C2×H(5,𝔽2)11yescharacteristic
733C22×C59#58511yescharacteristic
734C22×C59#58511yescharacteristic
735C4×C59—22no—
736C4×C59—22no—
737C4×C59—22no—
738C4×C59—22no—
739C4×C59—22no—
740C4×C59—41no—
741C4×C59—41no—
742C4×C59—41no—
743C4×C59—41no—
744C4×C59—41no—
745C4×C59—41no—
746C4×C59—41no—
747C4×C59—41no—
748C4×C59—41no—
749C4×C59—41no—
750C4×C59—41no—
751C4×C59—41no—
752C4×C59—41no—
753C4×C59—41no—
754C4×C59—41no—
755C4×C59—41no—
756C4×C59—41no—
757C4×C59—41no—
758C4×C59—41no—
759C4×C59—41no—
760C4×C59—41no—
761#2576C2×C5911yescharacteristic, complemented
762#2575C2×C5911yescharacteristic, complemented
763#2573C2×C5911yescharacteristic, complemented
764#2572C2×C5911yescharacteristic, complemented
765#2527C2×C5911yescharacteristic, complemented
766#2526C2×C5911yescharacteristic, complemented
767#2516C2×C5911yescharacteristic, complemented
768#2515C2×C5911yescharacteristic, complemented
769#2510C2×C5911yescharacteristic, complemented
770#2505C2×C5911yescharacteristic, complemented
771#2480C2×C5911yescharacteristic, complemented
772#2472C2×C5911yescharacteristic, complemented
773#2468C2×C5911yescharacteristic, complemented
774#2466C2×C5911yescharacteristic, complemented
775#2459C2×C5911yescharacteristic, complemented
776#2457C2×C5911yescharacteristic, complemented
777#2450C2×C5911yescharacteristic, complemented
778#2447C2×C5911yescharacteristic, complemented
779#2444C2×C5911yescharacteristic, complemented
780#2444C2×C5911yescharacteristic, complemented
781#2424C2×C5911yescharacteristic
782#2420C2×C5911yescharacteristic, complemented
783#2419C2×C5911yescharacteristic, complemented
784#2418C2×C5911yescharacteristic, complemented
785#2329C2×C5911yescharacteristic, complemented
786#2325C2×C5911yescharacteristic, complemented
787#2318C2×C5911yescharacteristic, complemented
788C4×#120C2×C5911yescharacteristic, complemented
789C4×#120C2×C5911yescharacteristic, complemented
790C2×#381C2×C5911yescharacteristic, complemented
791#2275C2×C5911yescharacteristic, complemented
792C2×C59—24no—
793C2×C59—42no—
794C2×C59—42no—
795C2×C59—42no—
796C2×C59—81no—
797C2×C59C2×#52911yescharacteristic
798C2×C59#349011yescharacteristic
799C2×C59#349311yescharacteristic
800C2×C59#351311yescharacteristic
801C2×C59#351311yescharacteristic
802C2×C59#351311yescharacteristic
803C2×C59#351311yescharacteristic
804C24×C4C22×C5911yescharacteristic
805C2×#126C22×C5911yescharacteristic
806C2×#124C22×C5911yescharacteristic
807C2×#123C22×C5911yescharacteristic
808C2×C22⋊Q8C22×C5911yescharacteristic
809C2×#121C22×C5911yescharacteristic
810C2×#121C22×C5911yescharacteristic
811C2×#120C22×C5911yescharacteristic
812C2×#120C22×C5911yescharacteristic
813C2×C4×D4C22×C5911yescharacteristic
814C2×C4×D4C22×C5911yescharacteristic
815C2×C4×D4C22×C5911yescharacteristic
816C2×C4×D4C22×C5911yescharacteristic
817C2×C4×D4C22×C5911yescharacteristic
818C2×C4×D4C22×C5911yescharacteristic
819C2×C4×D4C22×C5911yescharacteristic
820C2×C4×D4C22×C5911yescharacteristic
821C22×C22⋊C4C22×C5911yescharacteristic
822C22×C22⋊C4C22×C5911yescharacteristic
823#401C22×C5911yescharacteristic, complemented
824#400C22×C5911yescharacteristic, complemented
825#400C22×C5911yescharacteristic, complemented
826#400C22×C5911yescharacteristic, complemented
827#400C22×C5911yescharacteristic, complemented
828#400C22×C5911yescharacteristic, complemented
829#400C22×C5911yescharacteristic, complemented
830#399C22×C5911yescharacteristic
831#398C22×C5911yescharacteristic, complemented
832#398C22×C5911yescharacteristic, complemented
833#397C22×C5911yescharacteristic
834#397C22×C5911yescharacteristic
835#397C22×C5911yescharacteristic
836#397C22×C5911yescharacteristic
837#397C22×C5911yescharacteristic
838#397C22×C5911yescharacteristic, complemented
839#397C22×C5911yescharacteristic, complemented
840#397C22×C5911yescharacteristic, complemented
841#397C22×C5911yescharacteristic, complemented
842#396C22×C5911yescharacteristic
843#396C22×C5911yescharacteristic
844#396C22×C5911yescharacteristic, complemented
845#394C22×C5911yescharacteristic
846#394C22×C5911yescharacteristic
847#394C22×C5911yescharacteristic
848#394C22×C5911yescharacteristic
849#394C22×C5911yescharacteristic
850#394C22×C5911yescharacteristic
851#394C22×C5911yescharacteristic, complemented
852#393C22×C5911yescharacteristic
853#393C22×C5911yescharacteristic, complemented
854#392C22×C5911yescharacteristic
855#391C22×C5911yescharacteristic, complemented
856#391C22×C5911yescharacteristic, complemented
857#391C22×C5911yescharacteristic, complemented
858#390C22×C5911yescharacteristic
859#390C22×C5911yescharacteristic
860#389C22×C5911yescharacteristic, complemented
861#389C22×C5911yescharacteristic, complemented
862#389C22×C5911yescharacteristic, complemented
863#388C22×C5911yescharacteristic
864#388C22×C5911yescharacteristic
865#388C22×C5911yescharacteristic
866#388C22×C5911yescharacteristic
867#388C22×C5911yescharacteristic
868#388C22×C5911yescharacteristic
869#388C22×C5911yescharacteristic
870#388C22×C5911yescharacteristic
871#388C22×C5911yescharacteristic, complemented
872#388C22×C5911yescharacteristic, complemented
873#388C22×C5911yescharacteristic, complemented
874#388C22×C5911yescharacteristic, complemented
875#388C22×C5911yescharacteristic, complemented
876#388C22×C5911yescharacteristic, complemented
877#388C22×C5911yescharacteristic, complemented
878#387C22×C5911yescharacteristic, complemented
879#387C22×C5911yescharacteristic, complemented
880#387C22×C5911yescharacteristic, complemented
881#387C22×C5911yescharacteristic, complemented
882#387C22×C5911yescharacteristic, complemented
883#387C22×C5911yescharacteristic, complemented
884#387C22×C5911yescharacteristic, complemented
885#387C22×C5911yescharacteristic, complemented
886#387C22×C5911yescharacteristic, complemented
887#387C22×C5911yescharacteristic, complemented
888#387C22×C5911yescharacteristic, complemented
889#387C22×C5911yescharacteristic, complemented
890#387C22×C5911yescharacteristic, complemented
891#386C22×C5911yescharacteristic
892#386C22×C5911yescharacteristic
893#386C22×C5911yescharacteristic
894#386C22×C5911yescharacteristic
895#386C22×C5911yescharacteristic
896#386C22×C5911yescharacteristic
897#386C22×C5911yescharacteristic
898#386C22×C5911yescharacteristic
899#386C22×C5911yescharacteristic
900#386C22×C5911yescharacteristic
901#386C22×C5911yescharacteristic
902#386C22×C5911yescharacteristic
903#386C22×C5911yescharacteristic, complemented
904#386C22×C5911yescharacteristic, complemented
905#386C22×C5911yescharacteristic, complemented
906#385C22×C5911yescharacteristic
907#385C22×C5911yescharacteristic
908#385C22×C5911yescharacteristic
909#385C22×C5911yescharacteristic
910#385C22×C5911yescharacteristic
911#385C22×C5911yescharacteristic
912#385C22×C5911yescharacteristic
913#385C22×C5911yescharacteristic
914#385C22×C5911yescharacteristic
915#385C22×C5911yescharacteristic
916#385C22×C5911yescharacteristic, complemented
917#385C22×C5911yescharacteristic, complemented
918#385C22×C5911yescharacteristic, complemented
919#383C22×C5911yescharacteristic, complemented
920#383C22×C5911yescharacteristic, complemented
921#382C22×C5911yescharacteristic, complemented
922#382C22×C5911yescharacteristic, complemented
923#381C22×C5911yescharacteristic
924#381C22×C5911yescharacteristic
925#381C22×C5911yescharacteristic
926#381C22×C5911yescharacteristic
927#381C22×C5911yescharacteristic
928#381C22×C5911yescharacteristic
929#381C22×C5911yescharacteristic
930#381C22×C5911yescharacteristic
931#381C22×C5911yescharacteristic, complemented
932#381C22×C5911yescharacteristic, complemented
933#380C22×C5911yescharacteristic
934#380C22×C5911yescharacteristic
935#380C22×C5911yescharacteristic, complemented
936#380C22×C5911yescharacteristic, complemented
937#379C22×C5911yescharacteristic
938#379C22×C5911yescharacteristic
939C4×C4⋊C4C22×C5911yescharacteristic, complemented
940C4×C4⋊C4C22×C5911yescharacteristic, complemented
941C4×C4⋊C4C22×C5911yescharacteristic, complemented
942C4×C22⋊C4C22×C5911yescharacteristic
943C4×C22⋊C4C22×C5911yescharacteristic
944C4×C22⋊C4C22×C5911yescharacteristic
945C4×C22⋊C4C22×C5911yescharacteristic
946C4×C22⋊C4C22×C5911yescharacteristic
947C4×C22⋊C4C22×C5911yescharacteristic
948C4×C22⋊C4C22×C5911yescharacteristic
949C4×C22⋊C4C22×C5911yescharacteristic
950C4×C22⋊C4C22×C5911yescharacteristic, complemented
951C4×C22⋊C4C22×C5911yescharacteristic, complemented
952C4×C22⋊C4C22×C5911yescharacteristic, complemented
953#376C22×C5911yescharacteristic, complemented
954C2×#95C22×C5911yescharacteristic
955C2×#95C22×C5911yescharacteristic
956C2×#95C22×C5911yescharacteristic
957C2×#95C22×C5911yescharacteristic
958C2×#95C22×C5911yescharacteristic, complemented
959C59#3537311yescharacteristic, direct product factor, Sylow
960C25C23×C5911yescharacteristic
961C22×Q8C23×C5911yescharacteristic
962C22×D4C23×C5911yescharacteristic
963C22×D4C23×C5911yescharacteristic
964C22×D4C23×C5911yescharacteristic
965C22×D4C23×C5911yescharacteristic
966C22×D4C23×C5911yescharacteristic
967C22×D4C23×C5911yescharacteristic
968C22×D4C23×C5911yescharacteristic
969C23×C4—24no—
970C23×C4—42no—
971C23×C4—42no—
972C23×C4C23×C5911yescharacteristic
973C23×C4C23×C5911yescharacteristic
974C23×C4C23×C5911yescharacteristic
975C23×C4C23×C5911yescharacteristic
976C23×C4C23×C5911yescharacteristic
977C23×C4C23×C5911yescharacteristic
978C23×C4C23×C5911yescharacteristic
979C23×C4C23×C5911yescharacteristic
980C23×C4C23×C5911yescharacteristic
981C23×C4C23×C5911yescharacteristic
982C23×C4C23×C5911yescharacteristic
983C23×C4C23×C5911yescharacteristic
984C23×C4C23×C5911yescharacteristic
985C23×C4C23×C5911yescharacteristic
986#126—42no—
987#124—42no—
988#123—42no—
989C22⋊Q8—24no—
990#121—24no—
991#121—42no—
992#120—24no—
993#120—24no—
994C4×D4—24no—
995C4×D4—24no—
996C4×D4—24no—
997C4×D4—24no—
998C4×D4—42no—
999C4×D4—42no—
1000C4×D4—42no—
1001C4×D4—42no—
1002C2×C4⋊C4C23×C5911yescharacteristic
1003C2×C4⋊C4C23×C5911yescharacteristic
1004C2×C4⋊C4C23×C5911yescharacteristic
1005C2×C4⋊C4C23×C5911yescharacteristic
1006C2×C4⋊C4C23×C5911yescharacteristic
1007C2×C4⋊C4C23×C5911yescharacteristic
1008C2×C4⋊C4C23×C5911yescharacteristic
1009C2×C4⋊C4C23×C5911yescharacteristic
1010C2×C4⋊C4C23×C5911yescharacteristic
1011C2×C4⋊C4C23×C5911yescharacteristic
1012C2×C4⋊C4C23×C5911yescharacteristic
1013C2×C4⋊C4C23×C5911yescharacteristic
1014C2×C4⋊C4C23×C5911yescharacteristic
1015C2×C4⋊C4C23×C5911yescharacteristic
1016C2×C4⋊C4C23×C5911yescharacteristic
1017C2×C4⋊C4C23×C5911yescharacteristic
1018C2×C4⋊C4C23×C5911yescharacteristic
1019C2×C4⋊C4C23×C5911yescharacteristic
1020C2×C4⋊C4C23×C5911yescharacteristic
1021C2×C4⋊C4C23×C5911yescharacteristic
1022C2×C4⋊C4C23×C5911yescharacteristic
1023C2×C4⋊C4C23×C5911yescharacteristic
1024C2×C4⋊C4C23×C5911yescharacteristic
1025C2×C4⋊C4C23×C5911yescharacteristic
1026C2×C22⋊C4—42no—
1027C2×C22⋊C4—42no—
1028C2×C22⋊C4C23×C5911yescharacteristic
1029C2×C22⋊C4C23×C5911yescharacteristic
1030C2×C22⋊C4C23×C5911yescharacteristic
1031C2×C22⋊C4C23×C5911yescharacteristic
1032C2×C22⋊C4C23×C5911yescharacteristic
1033C2×C22⋊C4C23×C5911yescharacteristic
1034C2×C22⋊C4C23×C5911yescharacteristic
1035C2×C22⋊C4C23×C5911yescharacteristic
1036C2×C22⋊C4C23×C5911yescharacteristic
1037C2×C22⋊C4C23×C5911yescharacteristic
1038C2×C22⋊C4C23×C5911yescharacteristic
1039C2×C22⋊C4C23×C5911yescharacteristic
1040C2×C22⋊C4C23×C5911yescharacteristic
1041C2×C22⋊C4C23×C5911yescharacteristic
1042C2×C22⋊C4C23×C5911yescharacteristic
1043C2×C22⋊C4C23×C5911yescharacteristic
1044C2×C22⋊C4C23×C5911yescharacteristic
1045C2×C22⋊C4C23×C5911yescharacteristic
1046C2×C22⋊C4C23×C5911yescharacteristic
1047C2×C22⋊C4C23×C5911yescharacteristic
1048C2×C22⋊C4C23×C5911yescharacteristic
1049C2×C22⋊C4C23×C5911yescharacteristic
1050C2×C22⋊C4C23×C5911yescharacteristic
1051C2×C22⋊C4C23×C5911yescharacteristic
1052C2×C22⋊C4C23×C5911yescharacteristic
1053C2×C22⋊C4C23×C5911yescharacteristic
1054C2×C22⋊C4C23×C5911yescharacteristic
1055C2×C22⋊C4C23×C5911yescharacteristic
1056C2×C22⋊C4C23×C5911yescharacteristic
1057C2×C22⋊C4C23×C5911yescharacteristic
1058C2×C22⋊C4C23×C5911yescharacteristic
1059C2×C22⋊C4C23×C5911yescharacteristic
1060C2×C22⋊C4C23×C5911yescharacteristic
1061C2×C22⋊C4C23×C5911yescharacteristic
1062C2×C22⋊C4C23×C5911yescharacteristic
1063C2×C22⋊C4C23×C5911yescharacteristic
1064C2×C22⋊C4C23×C5911yescharacteristic
1065C2×C22⋊C4C23×C5911yescharacteristic
1066C2×C22⋊C4C23×C5911yescharacteristic
1067C2×C22⋊C4C23×C5911yescharacteristic
1068C2×C22⋊C4C23×C5911yescharacteristic
1069C2×C22⋊C4C23×C5911yescharacteristic
1070C2×C22⋊C4C23×C5911yescharacteristic
1071C2×C22⋊C4C23×C5911yescharacteristic
1072C2×C42C23×C5911yescharacteristic
1073C2×C42C23×C5911yescharacteristic
1074C2×C42C23×C5911yescharacteristic
1075C2×C42C23×C5911yescharacteristic
1076C2×C42C23×C5911yescharacteristic
1077C2×C42C23×C5911yescharacteristic
1078C2×C42C23×C5911yescharacteristic
1079C2×C42C23×C5911yescharacteristic
1080C2×C42C23×C5911yescharacteristic
1081C2×C42C23×C5911yescharacteristic
1082C2×C42C23×C5911yescharacteristic
1083C2×C42C23×C5911yescharacteristic
1084#95C23×C5911yescharacteristic
1085#95C23×C5911yescharacteristic
1086#95C23×C5911yescharacteristic
1087#95C23×C5911yescharacteristic
1088#95C23×C5911yescharacteristic
1089#95C23×C5911yescharacteristic
1090#95C23×C5911yescharacteristic
1091#95C23×C5911yescharacteristic
1092#95C23×C5911yescharacteristic
1093#95C23×C5911yescharacteristic
1094#95C23×C5911yescharacteristic
1095#95C23×C5911yescharacteristic
1096#95C23×C5911yescharacteristic
1097#95C23×C5911yescharacteristic
1098#95C23×C5911yescharacteristic
1099#95C23×C5911yescharacteristic
1100#95C23×C5911yescharacteristic
1101#95C23×C5911yescharacteristic
1102#95C23×C5911yescharacteristic
1103#95C23×C5911yescharacteristic
1104#95C23×C5911yescharacteristic
1105#95C23×C5911yescharacteristic
1106#95C23×C5911yescharacteristic
1107#95C23×C5911yescharacteristic
1108#95C23×C5911yescharacteristic
1109#95C23×C5911yescharacteristic
1110#95C23×C5911yescharacteristic
1111#95C23×C5911yescharacteristic
1112#95C23×C5911yescharacteristic
1113#95C23×C5911yescharacteristic
1114#95C23×C5911yescharacteristic
1115#95C23×C5911yescharacteristic
1116#95C23×C5911yescharacteristic
1117#95C23×C5911yescharacteristic
1118#95C23×C5911yescharacteristic
1119#95C23×C5911yescharacteristic
1120#95C23×C5911yescharacteristic
1121#95C23×C5911yescharacteristic
1122#95C23×C5911yescharacteristic
1123#95C23×C5911yescharacteristic
1124#95C23×C5911yescharacteristic
1125#95C23×C5911yescharacteristic
1126#95C23×C5911yescharacteristic
1127#95C23×C5911yescharacteristic
1128#95C23×C5911yescharacteristic
1129#95C23×C5911yescharacteristic
1130#95C23×C5911yescharacteristic
1131#95C23×C5911yescharacteristic
1132#95C23×C5911yescharacteristic
1133#95C23×C5911yescharacteristic
1134#95C23×C5911yescharacteristic
1135#95C23×C5911yescharacteristic
1136C24—22no—
1137C24—22no—
1138C24—22no—
1139C24—22no—
1140C24—22no—
1141C24—41no—
1142C24—41no—
1143C24C24×C5911yescharacteristic
1144C24C24×C5911yescharacteristic
1145C24C24×C5911yescharacteristic
1146C24C24×C5911yescharacteristic
1147C24C24×C5911yescharacteristic
1148C2×Q8—22no—
1149C2×Q8—41no—
1150C2×Q8—41no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—22no—
1154C2×D4—22no—
1155C2×D4—22no—
1156C2×D4—22no—
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—41no—
1166C2×D4—41no—
1167C2×D4—41no—
1168C2×D4—41no—
1169C2×D4—41no—
1170C2×D4—41no—
1171C2×D4#41×C5914yes—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—416no—
1214C22×C4#41×C5914yes—
1215C22×C4C24×C5911yescharacteristic
1216C22×C4C24×C5911yescharacteristic
1217C22×C4C24×C5911yescharacteristic
1218C22×C4C24×C5911yescharacteristic
1219C22×C4C24×C5911yescharacteristic
1220C22×C4C24×C5911yescharacteristic
1221C22×C4C24×C5911yescharacteristic
1222C22×C4C24×C5911yescharacteristic
1223C22×C4C24×C5911yescharacteristic
1224C22×C4C24×C5911yescharacteristic
1225C22×C4C24×C5911yescharacteristic
1226C22×C4C24×C5911yescharacteristic
1227C22×C4C24×C5911yescharacteristic
1228C22×C4C24×C5911yescharacteristic
1229C22×C4C24×C5911yescharacteristic
1230C22×C4C24×C5911yescharacteristic
1231C22×C4C24×C5911yescharacteristic
1232C22×C4C24×C5911yescharacteristic
1233C22×C4C24×C5911yescharacteristic
1234C22×C4C24×C5911yescharacteristic
1235C22×C4C24×C5911yescharacteristic
1236C22×C4C24×C5911yescharacteristic
1237C22×C4C24×C5911yescharacteristic
1238C22×C4C24×C5911yescharacteristic
1239C22×C4C24×C5911yescharacteristic
1240C22×C4C24×C5911yescharacteristic
1241C4⋊C4—22no—
1242C4⋊C4—22no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—22no—
1271C22⋊C4—22no—
1272C22⋊C4—22no—
1273C22⋊C4—22no—
1274C22⋊C4—22no—
1275C22⋊C4—22no—
1276C22⋊C4—22no—
1277C22⋊C4—22no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4#41×C5914yes—
1309C42—22no—
1310C42—22no—
1311C42—22no—
1312C42—22no—
1313C42—41no—
1314C42—41no—
1315C42—41no—
1316C42—41no—
1317C42—41no—
1318C42—41no—
1319C42—41no—
1320C42—41no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—28no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—44no—
1352C23—44no—
1353C23—44no—
1354C23—44no—
1355C23—44no—
1356C23—44no—
1357C23C2×#41×C5912yes—
1358C23C2×#41×C5912yes—
1359C23C2×#41×C5912yes—
1360C23C2×#41×C5912yes—
1361C23H(5,𝔽2)×C5912yes—
1362C23H(5,𝔽2)×C5912yes—
1363C23C25×C5911yescharacteristic
1364Q8—82no—
1365D4—28no—
1366D4—44no—
1367D4—44no—
1368D4—44no—
1369D4—44no—
1370D4—44no—
1371D4—82no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—44no—
1446C2×C4—44no—
1447C2×C4—44no—
1448C2×C4—44no—
1449C2×C4—44no—
1450C2×C4—44no—
1451C2×C4—82no—
1452C2×C4—82no—
1453C2×C4—82no—
1454C2×C4—82no—
1455C2×C4—82no—
1456C2×C4—82no—
1457C2×C4—82no—
1458C2×C4—82no—
1459C2×C4C2×#41×C5912yes—
1460C2×C4C2×#41×C5912yes—
1461C2×C4C2×#41×C5912yes—
1462C2×C4C2×#41×C5912yes—
1463C2×C4C2×#41×C5912yes—
1464C22—22no—
1465C22—22no—
1466C22—22no—
1467C22—22no—
1468C22—22no—
1469C22—22no—
1470C22—22no—
1471C22—22no—
1472C22—22no—
1473C22—22no—
1474C22—22no—
1475C22—22no—
1476C22—22no—
1477C22—22no—
1478C22—22no—
1479C22—416no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22C59×#52914yes—
1500C22C22×#41×C5911yescharacteristic
1501C22C22×#41×C5911yescharacteristic
1502C22C22×#41×C5911yescharacteristic
1503C22C2×H(5,𝔽2)×C5911yescharacteristic
1504C22C2×H(5,𝔽2)×C5911yescharacteristic
1505C22C59×#58511yescharacteristic
1506C22C59×#58511yescharacteristic
1507C4—22no—
1508C4—22no—
1509C4—22no—
1510C4—22no—
1511C4—22no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C4—41no—
1524C4—41no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C2—24no—
1534C2—42no—
1535C2—42no—
1536C2—42no—
1537C2—81no—
1538C2C2×C59×#52911yescharacteristic
1539C2C59×#349011yescharacteristic
1540C2C59×#349311yescharacteristic
1541C2C59×#351311yescharacteristic
1542C2C59×#351311yescharacteristic
1543C2C59×#351311yescharacteristic
1544C2C59×#351311yescharacteristic
subgroupG/H
center, socleC23×C59C25
commutator, Frattini, cosocleC23C25×C59
prime radicalC59×#2424C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C59 ◁ G

Complements

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

NH ≅ G/Ntype
1. C59×#2576C2semidirect
2. C59×#2575C2semidirect
3. C59×#2573C2semidirect
4. C59×#2572C2semidirect
5. C59×#2527C2semidirect
6. C59×#2526C2semidirect
7. C59×#2516C2semidirect
8. C59×#2515C2semidirect
9. C59×#2510C2semidirect
10. C59×#2505C2semidirect
11. C59×#2480C2semidirect
12. C59×#2472C2semidirect
13. C59×#2468C2semidirect
14. C59×#2466C2semidirect
15. C59×#2459C2semidirect
16. C59×#2457C2semidirect
17. C59×#2450C2semidirect
18. C59×#2447C2semidirect
19. C59×#2444C2semidirect
20. C59×#2444C2semidirect
22. C59×#2420C2semidirect
23. C59×#2419C2semidirect
24. C59×#2418C2semidirect
25. C59×#2329C2semidirect
26. C59×#2325C2semidirect
27. C59×#2318C2semidirect
28. C4×#120×C59C2semidirect
29. C4×#120×C59C2semidirect
30. C2×C59×#381C2semidirect
31. C59×#2275C2semidirect
51. C59×#401C22semidirect
52. C59×#400C22semidirect
53. C59×#400C22semidirect
54. C59×#400C22semidirect
55. C59×#400C22semidirect
56. C59×#400C22semidirect
57. C59×#400C22semidirect
59. C59×#398C22semidirect
60. C59×#398C22semidirect
66. C59×#397C22semidirect
67. C59×#397C22semidirect
68. C59×#397C22semidirect
69. C59×#397C22semidirect
72. C59×#396C22semidirect
79. C59×#394C22semidirect
81. C59×#393C22semidirect
83. C59×#391C22semidirect
84. C59×#391C22semidirect
85. C59×#391C22semidirect
88. C59×#389C22semidirect
89. C59×#389C22semidirect
90. C59×#389C22semidirect
99. C59×#388C22semidirect
100. C59×#388C22semidirect
101. C59×#388C22semidirect
102. C59×#388C22semidirect
103. C59×#388C22semidirect
104. C59×#388C22semidirect
105. C59×#388C22semidirect
106. C59×#387C22semidirect
107. C59×#387C22semidirect
108. C59×#387C22semidirect
109. C59×#387C22semidirect
110. C59×#387C22semidirect
111. C59×#387C22semidirect
112. C59×#387C22semidirect
113. C59×#387C22semidirect
114. C59×#387C22semidirect
115. C59×#387C22semidirect
116. C59×#387C22semidirect
117. C59×#387C22semidirect
118. C59×#387C22semidirect
131. C59×#386C22semidirect
132. C59×#386C22semidirect
133. C59×#386C22semidirect
144. C59×#385C22semidirect
145. C59×#385C22semidirect
146. C59×#385C22semidirect
147. C59×#383C22semidirect
148. C59×#383C22semidirect
149. C59×#382C22semidirect
150. C59×#382C22semidirect
159. C59×#381C22semidirect
160. C59×#381C22semidirect
163. C59×#380C22semidirect
164. C59×#380C22semidirect
167. C4×C4⋊C4×C59C22semidirect
168. C4×C4⋊C4×C59C22semidirect
169. C4×C4⋊C4×C59C22semidirect
178. C4×C22⋊C4×C59C22semidirect
179. C4×C22⋊C4×C59C22semidirect
180. C4×C22⋊C4×C59C22semidirect
181. C59×#376C22semidirect
186. C2×#95×C59C22semidirect
691. #35373C59direct (N × H)
761. #2576C2×C59semidirect
762. #2575C2×C59semidirect
763. #2573C2×C59semidirect
764. #2572C2×C59semidirect
765. #2527C2×C59semidirect
766. #2526C2×C59semidirect
767. #2516C2×C59semidirect
768. #2515C2×C59semidirect
769. #2510C2×C59semidirect
770. #2505C2×C59semidirect
771. #2480C2×C59semidirect
772. #2472C2×C59semidirect
773. #2468C2×C59semidirect
774. #2466C2×C59semidirect
775. #2459C2×C59semidirect
776. #2457C2×C59semidirect
777. #2450C2×C59semidirect
778. #2447C2×C59semidirect
779. #2444C2×C59semidirect
780. #2444C2×C59semidirect
782. #2420C2×C59semidirect
783. #2419C2×C59semidirect
784. #2418C2×C59semidirect
785. #2329C2×C59semidirect
786. #2325C2×C59semidirect
787. #2318C2×C59semidirect
788. C4×#120C2×C59semidirect
789. C4×#120C2×C59semidirect
790. C2×#381C2×C59semidirect
791. #2275C2×C59semidirect
823. #401C22×C59semidirect
824. #400C22×C59semidirect
825. #400C22×C59semidirect
826. #400C22×C59semidirect
827. #400C22×C59semidirect
828. #400C22×C59semidirect
829. #400C22×C59semidirect
831. #398C22×C59semidirect
832. #398C22×C59semidirect
838. #397C22×C59semidirect
839. #397C22×C59semidirect
840. #397C22×C59semidirect
841. #397C22×C59semidirect
844. #396C22×C59semidirect
851. #394C22×C59semidirect
853. #393C22×C59semidirect
855. #391C22×C59semidirect
856. #391C22×C59semidirect
857. #391C22×C59semidirect
860. #389C22×C59semidirect
861. #389C22×C59semidirect
862. #389C22×C59semidirect
871. #388C22×C59semidirect
872. #388C22×C59semidirect
873. #388C22×C59semidirect
874. #388C22×C59semidirect
875. #388C22×C59semidirect
876. #388C22×C59semidirect
877. #388C22×C59semidirect
878. #387C22×C59semidirect
879. #387C22×C59semidirect
880. #387C22×C59semidirect
881. #387C22×C59semidirect
882. #387C22×C59semidirect
883. #387C22×C59semidirect
884. #387C22×C59semidirect
885. #387C22×C59semidirect
886. #387C22×C59semidirect
887. #387C22×C59semidirect
888. #387C22×C59semidirect
889. #387C22×C59semidirect
890. #387C22×C59semidirect
903. #386C22×C59semidirect
904. #386C22×C59semidirect
905. #386C22×C59semidirect
916. #385C22×C59semidirect
917. #385C22×C59semidirect
918. #385C22×C59semidirect
919. #383C22×C59semidirect
920. #383C22×C59semidirect
921. #382C22×C59semidirect
922. #382C22×C59semidirect
931. #381C22×C59semidirect
932. #381C22×C59semidirect
935. #380C22×C59semidirect
936. #380C22×C59semidirect
939. C4×C4⋊C4C22×C59semidirect
940. C4×C4⋊C4C22×C59semidirect
941. C4×C4⋊C4C22×C59semidirect
950. C4×C22⋊C4C22×C59semidirect
951. C4×C22⋊C4C22×C59semidirect
952. C4×C22⋊C4C22×C59semidirect
953. #376C22×C59semidirect
958. C2×#95C22×C59semidirect
959. C59#35373direct (N × H)

Maximal subgroups

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

subgroupindex
C59×#25762
C59×#25752
C59×#25732
C59×#25722
C59×#25272
C59×#25262
C59×#25162
C59×#25152
C59×#25102
C59×#25052
C59×#24802
C59×#24722
C59×#24682
C59×#24662
C59×#24592
C59×#24572
C59×#24502
C59×#24472
C59×#24442
C59×#24242
C59×#24202
C59×#24192
C59×#24182
C59×#23292
C59×#23252
C59×#23182
C4×#120×C592
C2×C59×#3812
C59×#22752
#3537359