Finite Group Databasebeta

← C59×#36841 #28448950

Subgroups — C59×#36841 #28448950

Order 15104.

1958 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C59×#2849C211yesmaximal, characteristic, complemented
2C59×#2849C211yesmaximal, characteristic, complemented
3C59×#2790C211yesmaximal, characteristic, complemented
4C59×#2778C211yesmaximal, characteristic, complemented
5C59×#2765C211yesmaximal, characteristic, complemented
6C59×#2761C211yesmaximal, characteristic, complemented
7C59×#2753C211yesmaximal, characteristic, complemented
8C59×#2752C211yesmaximal, characteristic, complemented
9C59×#2743C211yesmaximal, characteristic, complemented
10C59×#2718C211yesmaximal, characteristic, complemented
11C59×#2709C211yesmaximal, characteristic, complemented
12C59×#2706C211yesmaximal, characteristic, complemented
13C59×#2701C211yesmaximal, characteristic, complemented
14C59×#2697C211yesmaximal, characteristic, complemented
15C59×#2691C211yesmaximal, characteristic, complemented
16C59×#2685C211yesmaximal, characteristic, complemented
17C59×#2685C211yesmaximal, characteristic, complemented
18C59×#2669C211yesmaximal, characteristic
19C59×#2636C211yesmaximal, characteristic, complemented
20C59×#2630C211yesmaximal, characteristic, complemented
21C59×#2576C211yesmaximal, characteristic, complemented
22C59×#2575C211yesmaximal, characteristic, complemented
23C59×#2554C211yesmaximal, characteristic, complemented
24C59×#2553C211yesmaximal, characteristic, complemented
25C59×#2468C211yesmaximal, characteristic, complemented
26C59×#2457C211yesmaximal, characteristic, complemented
27C59×#2445C211yesmaximal, characteristic, complemented
28C59×#2422C211yesmaximal, characteristic, complemented
29C59×#2334C211yesmaximal, characteristic, complemented
30C59×#2333C211yesmaximal, characteristic, complemented
31C4×#120×C59C211yesmaximal, characteristic, complemented
32C24×C4×C59C2211yescharacteristic
33C2×#127×C59C2211yescharacteristic
34C2×#126×C59C2211yescharacteristic
35C2×#126×C59C2211yescharacteristic
36C2×#126×C59C2211yescharacteristic, complemented
37C2×#123×C59C2211yescharacteristic
38C2×#123×C59C2211yescharacteristic
39C2×#123×C59C2211yescharacteristic
40C2×#123×C59C2211yescharacteristic
41C2×#123×C59C2211yescharacteristic
42C2×#123×C59C2211yescharacteristic, complemented
43C2×#121×C59C2211yescharacteristic
44C2×#121×C59C2211yescharacteristic
45C2×#120×C59C2211yescharacteristic
46C2×#120×C59C2211yescharacteristic
47C2×#120×C59C2211yescharacteristic
48C2×C4×D4×C59C2211yescharacteristic
49C2×C4×D4×C59C2211yescharacteristic
50C2×C4×D4×C59C2211yescharacteristic
51C59×#401C2211yescharacteristic, complemented
52C59×#400C2211yescharacteristic, complemented
53C59×#400C2211yescharacteristic, complemented
54C59×#400C2211yescharacteristic, complemented
55C59×#400C2211yescharacteristic, complemented
56C59×#399C2211yescharacteristic
57C59×#399C2211yescharacteristic
58C59×#399C2211yescharacteristic, complemented
59C59×#398C2211yescharacteristic, complemented
60C59×#398C2211yescharacteristic, complemented
61C59×#398C2211yescharacteristic, complemented
62C59×#398C2211yescharacteristic, complemented
63C59×#398C2211yescharacteristic, complemented
64C59×#397C2211yescharacteristic
65C59×#397C2211yescharacteristic
66C59×#397C2211yescharacteristic, complemented
67C59×#397C2211yescharacteristic, complemented
68C59×#397C2211yescharacteristic, complemented
69C59×#397C2211yescharacteristic, complemented
70C59×#396C2211yescharacteristic
71C59×#396C2211yescharacteristic
72C59×#396C2211yescharacteristic
73C59×#396C2211yescharacteristic
74C59×#396C2211yescharacteristic, complemented
75C59×#396C2211yescharacteristic, complemented
76C59×#396C2211yescharacteristic, complemented
77C59×#394C2211yescharacteristic
78C59×#394C2211yescharacteristic
79C59×#394C2211yescharacteristic
80C59×#394C2211yescharacteristic
81C59×#394C2211yescharacteristic
82C59×#394C2211yescharacteristic
83C59×#394C2211yescharacteristic
84C59×#394C2211yescharacteristic
85C59×#394C2211yescharacteristic
86C59×#394C2211yescharacteristic
87C59×#394C2211yescharacteristic
88C59×#394C2211yescharacteristic
89C59×#394C2211yescharacteristic, complemented
90C59×#394C2211yescharacteristic, complemented
91C59×#394C2211yescharacteristic, complemented
92C59×#394C2211yescharacteristic, complemented
93C59×#394C2211yescharacteristic, complemented
94C59×#394C2211yescharacteristic, complemented
95C59×#392C2211yescharacteristic
96C59×#392C2211yescharacteristic
97C59×#392C2211yescharacteristic
98C59×#392C2211yescharacteristic
99C59×#390C2211yescharacteristic
100C59×#390C2211yescharacteristic
101C59×#390C2211yescharacteristic
102C59×#390C2211yescharacteristic
103C59×#390C2211yescharacteristic
104C59×#390C2211yescharacteristic, complemented
105C59×#390C2211yescharacteristic, complemented
106C59×#389C2211yescharacteristic, complemented
107C59×#389C2211yescharacteristic, complemented
108C59×#389C2211yescharacteristic, complemented
109C59×#388C2211yescharacteristic
110C59×#388C2211yescharacteristic
111C59×#388C2211yescharacteristic
112C59×#388C2211yescharacteristic
113C59×#388C2211yescharacteristic
114C59×#388C2211yescharacteristic
115C59×#388C2211yescharacteristic
116C59×#388C2211yescharacteristic
117C59×#388C2211yescharacteristic
118C59×#388C2211yescharacteristic
119C59×#388C2211yescharacteristic, complemented
120C59×#388C2211yescharacteristic, complemented
121C59×#388C2211yescharacteristic, complemented
122C59×#388C2211yescharacteristic, complemented
123C59×#388C2211yescharacteristic, complemented
124C59×#388C2211yescharacteristic, complemented
125C59×#388C2211yescharacteristic, complemented
126C59×#387C2211yescharacteristic, complemented
127C59×#387C2211yescharacteristic, complemented
128C59×#387C2211yescharacteristic, complemented
129C59×#387C2211yescharacteristic, complemented
130C59×#387C2211yescharacteristic, complemented
131C59×#387C2211yescharacteristic, complemented
132C59×#387C2211yescharacteristic, complemented
133C59×#387C2211yescharacteristic, complemented
134C59×#387C2211yescharacteristic, complemented
135C59×#386C2211yescharacteristic
136C59×#386C2211yescharacteristic
137C59×#386C2211yescharacteristic
138C59×#386C2211yescharacteristic
139C59×#386C2211yescharacteristic
140C59×#386C2211yescharacteristic
141C59×#386C2211yescharacteristic
142C59×#386C2211yescharacteristic
143C59×#386C2211yescharacteristic
144C59×#386C2211yescharacteristic
145C59×#386C2211yescharacteristic
146C59×#386C2211yescharacteristic
147C59×#386C2211yescharacteristic
148C59×#386C2211yescharacteristic
149C59×#386C2211yescharacteristic, complemented
150C59×#386C2211yescharacteristic, complemented
151C59×#386C2211yescharacteristic, complemented
152C59×#385C2211yescharacteristic
153C59×#385C2211yescharacteristic
154C59×#385C2211yescharacteristic
155C59×#385C2211yescharacteristic
156C59×#385C2211yescharacteristic
157C59×#385C2211yescharacteristic
158C59×#385C2211yescharacteristic
159C59×#385C2211yescharacteristic
160C59×#385C2211yescharacteristic
161C59×#385C2211yescharacteristic
162C59×#385C2211yescharacteristic
163C59×#385C2211yescharacteristic, complemented
164C59×#385C2211yescharacteristic, complemented
165C59×#384C2211yescharacteristic, complemented
166C59×#382C2211yescharacteristic, complemented
167C59×#382C2211yescharacteristic, complemented
168C59×#382C2211yescharacteristic, complemented
169C59×#381C2211yescharacteristic
170C59×#381C2211yescharacteristic
171C59×#381C2211yescharacteristic
172C59×#381C2211yescharacteristic
173C59×#381C2211yescharacteristic, complemented
174C59×#380C2211yescharacteristic, complemented
175C59×#380C2211yescharacteristic, complemented
176C59×#380C2211yescharacteristic, complemented
177C59×#379C2211yescharacteristic
178C59×#379C2211yescharacteristic
179C59×#379C2211yescharacteristic
180C4×C4⋊C4×C59C2211yescharacteristic, complemented
181C4×C4⋊C4×C59C2211yescharacteristic, complemented
182C4×C22⋊C4×C59C2211yescharacteristic
183C4×C22⋊C4×C59C2211yescharacteristic
184C4×C22⋊C4×C59C2211yescharacteristic
185C4×C22⋊C4×C59C2211yescharacteristic, complemented
186C4×C22⋊C4×C59C2211yescharacteristic, complemented
187C25×C59C2311yescharacteristic
188C22×D4×C59C2311yescharacteristic
189C22×D4×C59C2311yescharacteristic
190C22×D4×C59C2311yescharacteristic
191C22×D4×C59C2311yescharacteristic
192C22×D4×C59C2311yescharacteristic
193C22×D4×C59C2311yescharacteristic
194C22×D4×C59C2311yescharacteristic
195C22×D4×C59C2311yescharacteristic
196C22×D4×C59C2311yescharacteristic
197C22×D4×C59C2311yescharacteristic
198C22×D4×C59C2311yescharacteristic
199C22×D4×C59C2311yescharacteristic
200C23×C4×C59—42no—
201C23×C4×C59—42no—
202C23×C4×C59—42no—
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
212#127×C59—42no—
213#126×C59—24no—
214#126×C59—42no—
215#126×C59—42no—
216#123×C59—42no—
217#123×C59—42no—
218#123×C59—42no—
219#123×C59—42no—
220#123×C59—42no—
221#123×C59—42no—
222#121×C59—24no—
223#121×C59—42no—
224#120×C59—24no—
225#120×C59—42no—
226#120×C59—42no—
227C4×D4×C59—42no—
228C4×D4×C59—42no—
229C4×D4×C59—42no—
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×C4⋊C4×C59C2311yescharacteristic
254C2×C4⋊C4×C59C2311yescharacteristic
255C2×C4⋊C4×C59C2311yescharacteristic
256C2×C4⋊C4×C59C2311yescharacteristic
257C2×C4⋊C4×C59C2311yescharacteristic
258C2×C4⋊C4×C59C2311yescharacteristic
259C2×C4⋊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×C22⋊C4×C59C2311yescharacteristic
300C2×C22⋊C4×C59C2311yescharacteristic
301C2×C22⋊C4×C59C2311yescharacteristic
302C2×C22⋊C4×C59C2311yescharacteristic
303C2×C22⋊C4×C59C2311yescharacteristic
304C2×C22⋊C4×C59C2311yescharacteristic
305C2×C22⋊C4×C59C2311yescharacteristic
306C2×C22⋊C4×C59C2311yescharacteristic
307C2×C22⋊C4×C59C2311yescharacteristic
308C2×C22⋊C4×C59C2311yescharacteristic
309C2×C22⋊C4×C59C2311yescharacteristic
310C2×C22⋊C4×C59C2311yescharacteristic
311C2×C22⋊C4×C59C2311yescharacteristic
312C2×C22⋊C4×C59C2311yescharacteristic
313C2×C22⋊C4×C59C2311yescharacteristic
314C2×C42×C59C2311yescharacteristic
315C2×C42×C59C2311yescharacteristic
316C2×C42×C59C2311yescharacteristic
317C2×C42×C59C2311yescharacteristic
318C2×C42×C59C2311yescharacteristic
319C2×C42×C59C2311yescharacteristic
320C2×C42×C59C2311yescharacteristic
321C2×C42×C59C2311yescharacteristic
322C2×C42×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—41no—
367C24×C59—41no—
368C24×C59—41no—
369C24×C59—41no—
370C24×C59C2411yescharacteristic
371C24×C59C2411yescharacteristic
372C24×C59C2411yescharacteristic
373C24×C59C2411yescharacteristic
374C24×C59C2411yescharacteristic
375C24×C59C2411yescharacteristic
376C2×D4×C59—22no—
377C2×D4×C59—22no—
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—41no—
389C2×D4×C59—41no—
390C2×D4×C59—41no—
391C2×D4×C59—41no—
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—41no—
399C2×D4×C59—41no—
400C2×D4×C59—41no—
401C2×D4×C59—41no—
402C2×D4×C59—41no—
403C2×D4×C59—41no—
404C2×D4×C59—41no—
405C2×D4×C59—41no—
406C2×D4×C59—41no—
407C2×D4×C59—41no—
408C2×D4×C59—41no—
409C2×D4×C59—41no—
410C2×D4×C59—41no—
411C2×D4×C59—41no—
412C22×C4×C59—22no—
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—22no—
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—416no—
440C22×C4×C59C2411yescharacteristic
441C22×C4×C59C2411yescharacteristic
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
465C4⋊C4×C59—22no—
466C4⋊C4×C59—22no—
467C4⋊C4×C59—22no—
468C4⋊C4×C59—22no—
469C4⋊C4×C59—22no—
470C4⋊C4×C59—22no—
471C4⋊C4×C59—41no—
472C4⋊C4×C59—41no—
473C4⋊C4×C59—41no—
474C4⋊C4×C59—41no—
475C4⋊C4×C59—41no—
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—
492C4⋊C4×C59—41no—
493C4⋊C4×C59—41no—
494C4⋊C4×C59—41no—
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—41no—
509C22⋊C4×C59—41no—
510C22⋊C4×C59—41no—
511C22⋊C4×C59—41no—
512C22⋊C4×C59—41no—
513C22⋊C4×C59—41no—
514C22⋊C4×C59—41no—
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—41no—
536C22⋊C4×C59—41no—
537C22⋊C4×C59—41no—
538C22⋊C4×C59—41no—
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⋊C4×C59—41no—
547C22⋊C4×C59—41no—
548C22⋊C4×C59#4114yes—
549C42×C59—22no—
550C42×C59—22no—
551C42×C59—41no—
552C42×C59—41no—
553C42×C59—41no—
554C42×C59—41no—
555C42×C59—41no—
556C42×C59—41no—
557C42×C59—41no—
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—21no—
579C23×C59—21no—
580C23×C59—21no—
581C23×C59—21no—
582C23×C59—21no—
583C23×C59—21no—
584C23×C59—21no—
585C23×C59—21no—
586C23×C59—21no—
587C23×C59—21no—
588C23×C59—21no—
589C23×C59—21no—
590C23×C59—21no—
591C23×C59—21no—
592C23×C59—21no—
593C23×C59—21no—
594C23×C59—21no—
595C23×C59—21no—
596C23×C59—21no—
597C23×C59—44no—
598C23×C59—44no—
599C23×C59—44no—
600C23×C59—44no—
601C23×C59—44no—
602C23×C59—44no—
603C23×C59—44no—
604C23×C59C2×#4112yes—
605C23×C59H(5,𝔽2)12yes—
606C23×C59H(5,𝔽2)12yes—
607C23×C59C2511yescharacteristic
608D4×C59—44no—
609D4×C59—44no—
610D4×C59—44no—
611D4×C59—82no—
612D4×C59—82no—
613D4×C59—82no—
614D4×C59—82no—
615D4×C59—82no—
616D4×C59—82no—
617D4×C59—82no—
618D4×C59—82no—
619D4×C59—82no—
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—21no—
673C2×C4×C59—21no—
674C2×C4×C59—21no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—21no—
679C2×C4×C59—21no—
680C2×C4×C59—21no—
681C2×C4×C59—21no—
682C2×C4×C59—21no—
683C2×C4×C59—21no—
684C2×C4×C59—21no—
685C2×C4×C59—21no—
686C2×C4×C59—21no—
687C2×C4×C59—21no—
688C2×C4×C59—21no—
689C2×C4×C59—21no—
690C2×C4×C59—21no—
691C2×C4×C59—21no—
692C2×C4×C59—44no—
693C2×C4×C59—44no—
694C2×C4×C59—44no—
695C2×C4×C59—44no—
696C2×C4×C59—44no—
697C2×C4×C59—44no—
698C2×C4×C59—82no—
699C2×C4×C59—82no—
700C2×C4×C59—82no—
701C2×C4×C59C2×#4112yes—
702C2×C4×C59C2×#4112yes—
703C2×C4×C59H(5,𝔽2)12yes—
704#36841C5911yesmaximal, characteristic, direct product factor, Sylow
705C22×C59—22no—
706C22×C59—22no—
707C22×C59—22no—
708C22×C59—22no—
709C22×C59—22no—
710C22×C59—22no—
711C22×C59—22no—
712C22×C59—22no—
713C22×C59—22no—
714C22×C59—416no—
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—41no—
728C22×C59—41no—
729C22×C59—41no—
730C22×C59—41no—
731C22×C59—41no—
732C22×C59—41no—
733C22×C59—41no—
734C22×C59—41no—
735C22×C59—41no—
736C22×C59—41no—
737C22×C59—41no—
738C22×C59—41no—
739C22×C59—41no—
740C22×C59—41no—
741C22×C59—41no—
742C22×C59—41no—
743C22×C59—41no—
744C22×C59—41no—
745C22×C59—41no—
746C22×C59—41no—
747C22×C59—41no—
748C22×C59C22×#4111yescharacteristic
749C22×C59C2×H(5,𝔽2)11yescharacteristic
750C22×C59C2×H(5,𝔽2)11yescharacteristic
751C22×C59C2×H(5,𝔽2)11yescharacteristic
752C22×C59#58511yescharacteristic
753C22×C59#58511yescharacteristic
754C22×C59#58511yescharacteristic
755C4×C59—22no—
756C4×C59—22no—
757C4×C59—22no—
758C4×C59—41no—
759C4×C59—41no—
760C4×C59—41no—
761C4×C59—41no—
762C4×C59—41no—
763C4×C59—41no—
764C4×C59—41no—
765C4×C59—41no—
766C4×C59—41no—
767C4×C59—41no—
768C4×C59—41no—
769C4×C59—41no—
770C4×C59—41no—
771C4×C59—41no—
772C4×C59—41no—
773C4×C59—41no—
774C4×C59—41no—
775C4×C59—41no—
776C4×C59—41no—
777C4×C59—41no—
778C4×C59—41no—
779C4×C59—41no—
780#2849C2×C5911yescharacteristic, complemented
781#2849C2×C5911yescharacteristic, complemented
782#2790C2×C5911yescharacteristic, complemented
783#2778C2×C5911yescharacteristic, complemented
784#2765C2×C5911yescharacteristic, complemented
785#2761C2×C5911yescharacteristic, complemented
786#2753C2×C5911yescharacteristic, complemented
787#2752C2×C5911yescharacteristic, complemented
788#2743C2×C5911yescharacteristic, complemented
789#2718C2×C5911yescharacteristic, complemented
790#2709C2×C5911yescharacteristic, complemented
791#2706C2×C5911yescharacteristic, complemented
792#2701C2×C5911yescharacteristic, complemented
793#2697C2×C5911yescharacteristic, complemented
794#2691C2×C5911yescharacteristic, complemented
795#2685C2×C5911yescharacteristic, complemented
796#2685C2×C5911yescharacteristic, complemented
797#2669C2×C5911yescharacteristic
798#2636C2×C5911yescharacteristic, complemented
799#2630C2×C5911yescharacteristic, complemented
800#2576C2×C5911yescharacteristic, complemented
801#2575C2×C5911yescharacteristic, complemented
802#2554C2×C5911yescharacteristic, complemented
803#2553C2×C5911yescharacteristic, complemented
804#2468C2×C5911yescharacteristic, complemented
805#2457C2×C5911yescharacteristic, complemented
806#2445C2×C5911yescharacteristic, complemented
807#2422C2×C5911yescharacteristic, complemented
808#2334C2×C5911yescharacteristic, complemented
809#2333C2×C5911yescharacteristic, complemented
810C4×#120C2×C5911yescharacteristic, complemented
811C2×C59—42no—
812C2×C59—42no—
813C2×C59—42no—
814C2×C59—81no—
815C2×C59—81no—
816C2×C59—81no—
817C2×C59#346011yescharacteristic
818C2×C59#351311yescharacteristic
819C2×C59#351311yescharacteristic
820C2×C59#353211yescharacteristic
821C2×C59#353311yescharacteristic
822C2×C59#353311yescharacteristic
823C2×C59#353911yescharacteristic
824C24×C4C22×C5911yescharacteristic
825C2×#127C22×C5911yescharacteristic
826C2×#126C22×C5911yescharacteristic
827C2×#126C22×C5911yescharacteristic
828C2×#126C22×C5911yescharacteristic, complemented
829C2×#123C22×C5911yescharacteristic
830C2×#123C22×C5911yescharacteristic
831C2×#123C22×C5911yescharacteristic
832C2×#123C22×C5911yescharacteristic
833C2×#123C22×C5911yescharacteristic
834C2×#123C22×C5911yescharacteristic, complemented
835C2×#121C22×C5911yescharacteristic
836C2×#121C22×C5911yescharacteristic
837C2×#120C22×C5911yescharacteristic
838C2×#120C22×C5911yescharacteristic
839C2×#120C22×C5911yescharacteristic
840C2×C4×D4C22×C5911yescharacteristic
841C2×C4×D4C22×C5911yescharacteristic
842C2×C4×D4C22×C5911yescharacteristic
843#401C22×C5911yescharacteristic, complemented
844#400C22×C5911yescharacteristic, complemented
845#400C22×C5911yescharacteristic, complemented
846#400C22×C5911yescharacteristic, complemented
847#400C22×C5911yescharacteristic, complemented
848#399C22×C5911yescharacteristic
849#399C22×C5911yescharacteristic
850#399C22×C5911yescharacteristic, complemented
851#398C22×C5911yescharacteristic, complemented
852#398C22×C5911yescharacteristic, complemented
853#398C22×C5911yescharacteristic, complemented
854#398C22×C5911yescharacteristic, complemented
855#398C22×C5911yescharacteristic, complemented
856#397C22×C5911yescharacteristic
857#397C22×C5911yescharacteristic
858#397C22×C5911yescharacteristic, complemented
859#397C22×C5911yescharacteristic, complemented
860#397C22×C5911yescharacteristic, complemented
861#397C22×C5911yescharacteristic, complemented
862#396C22×C5911yescharacteristic
863#396C22×C5911yescharacteristic
864#396C22×C5911yescharacteristic
865#396C22×C5911yescharacteristic
866#396C22×C5911yescharacteristic, complemented
867#396C22×C5911yescharacteristic, complemented
868#396C22×C5911yescharacteristic, complemented
869#394C22×C5911yescharacteristic
870#394C22×C5911yescharacteristic
871#394C22×C5911yescharacteristic
872#394C22×C5911yescharacteristic
873#394C22×C5911yescharacteristic
874#394C22×C5911yescharacteristic
875#394C22×C5911yescharacteristic
876#394C22×C5911yescharacteristic
877#394C22×C5911yescharacteristic
878#394C22×C5911yescharacteristic
879#394C22×C5911yescharacteristic
880#394C22×C5911yescharacteristic
881#394C22×C5911yescharacteristic, complemented
882#394C22×C5911yescharacteristic, complemented
883#394C22×C5911yescharacteristic, complemented
884#394C22×C5911yescharacteristic, complemented
885#394C22×C5911yescharacteristic, complemented
886#394C22×C5911yescharacteristic, complemented
887#392C22×C5911yescharacteristic
888#392C22×C5911yescharacteristic
889#392C22×C5911yescharacteristic
890#392C22×C5911yescharacteristic
891#390C22×C5911yescharacteristic
892#390C22×C5911yescharacteristic
893#390C22×C5911yescharacteristic
894#390C22×C5911yescharacteristic
895#390C22×C5911yescharacteristic
896#390C22×C5911yescharacteristic, complemented
897#390C22×C5911yescharacteristic, complemented
898#389C22×C5911yescharacteristic, complemented
899#389C22×C5911yescharacteristic, complemented
900#389C22×C5911yescharacteristic, complemented
901#388C22×C5911yescharacteristic
902#388C22×C5911yescharacteristic
903#388C22×C5911yescharacteristic
904#388C22×C5911yescharacteristic
905#388C22×C5911yescharacteristic
906#388C22×C5911yescharacteristic
907#388C22×C5911yescharacteristic
908#388C22×C5911yescharacteristic
909#388C22×C5911yescharacteristic
910#388C22×C5911yescharacteristic
911#388C22×C5911yescharacteristic, complemented
912#388C22×C5911yescharacteristic, complemented
913#388C22×C5911yescharacteristic, complemented
914#388C22×C5911yescharacteristic, complemented
915#388C22×C5911yescharacteristic, complemented
916#388C22×C5911yescharacteristic, complemented
917#388C22×C5911yescharacteristic, complemented
918#387C22×C5911yescharacteristic, complemented
919#387C22×C5911yescharacteristic, complemented
920#387C22×C5911yescharacteristic, complemented
921#387C22×C5911yescharacteristic, complemented
922#387C22×C5911yescharacteristic, complemented
923#387C22×C5911yescharacteristic, complemented
924#387C22×C5911yescharacteristic, complemented
925#387C22×C5911yescharacteristic, complemented
926#387C22×C5911yescharacteristic, complemented
927#386C22×C5911yescharacteristic
928#386C22×C5911yescharacteristic
929#386C22×C5911yescharacteristic
930#386C22×C5911yescharacteristic
931#386C22×C5911yescharacteristic
932#386C22×C5911yescharacteristic
933#386C22×C5911yescharacteristic
934#386C22×C5911yescharacteristic
935#386C22×C5911yescharacteristic
936#386C22×C5911yescharacteristic
937#386C22×C5911yescharacteristic
938#386C22×C5911yescharacteristic
939#386C22×C5911yescharacteristic
940#386C22×C5911yescharacteristic
941#386C22×C5911yescharacteristic, complemented
942#386C22×C5911yescharacteristic, complemented
943#386C22×C5911yescharacteristic, complemented
944#385C22×C5911yescharacteristic
945#385C22×C5911yescharacteristic
946#385C22×C5911yescharacteristic
947#385C22×C5911yescharacteristic
948#385C22×C5911yescharacteristic
949#385C22×C5911yescharacteristic
950#385C22×C5911yescharacteristic
951#385C22×C5911yescharacteristic
952#385C22×C5911yescharacteristic
953#385C22×C5911yescharacteristic
954#385C22×C5911yescharacteristic
955#385C22×C5911yescharacteristic, complemented
956#385C22×C5911yescharacteristic, complemented
957#384C22×C5911yescharacteristic, complemented
958#382C22×C5911yescharacteristic, complemented
959#382C22×C5911yescharacteristic, complemented
960#382C22×C5911yescharacteristic, complemented
961#381C22×C5911yescharacteristic
962#381C22×C5911yescharacteristic
963#381C22×C5911yescharacteristic
964#381C22×C5911yescharacteristic
965#381C22×C5911yescharacteristic, complemented
966#380C22×C5911yescharacteristic, complemented
967#380C22×C5911yescharacteristic, complemented
968#380C22×C5911yescharacteristic, complemented
969#379C22×C5911yescharacteristic
970#379C22×C5911yescharacteristic
971#379C22×C5911yescharacteristic
972C4×C4⋊C4C22×C5911yescharacteristic, complemented
973C4×C4⋊C4C22×C5911yescharacteristic, complemented
974C4×C22⋊C4C22×C5911yescharacteristic
975C4×C22⋊C4C22×C5911yescharacteristic
976C4×C22⋊C4C22×C5911yescharacteristic
977C4×C22⋊C4C22×C5911yescharacteristic, complemented
978C4×C22⋊C4C22×C5911yescharacteristic, complemented
979C59#3684111yescharacteristic, direct product factor, Sylow
980C25C23×C5911yescharacteristic
981C22×D4C23×C5911yescharacteristic
982C22×D4C23×C5911yescharacteristic
983C22×D4C23×C5911yescharacteristic
984C22×D4C23×C5911yescharacteristic
985C22×D4C23×C5911yescharacteristic
986C22×D4C23×C5911yescharacteristic
987C22×D4C23×C5911yescharacteristic
988C22×D4C23×C5911yescharacteristic
989C22×D4C23×C5911yescharacteristic
990C22×D4C23×C5911yescharacteristic
991C22×D4C23×C5911yescharacteristic
992C22×D4C23×C5911yescharacteristic
993C23×C4—42no—
994C23×C4—42no—
995C23×C4—42no—
996C23×C4C23×C5911yescharacteristic
997C23×C4C23×C5911yescharacteristic
998C23×C4C23×C5911yescharacteristic
999C23×C4C23×C5911yescharacteristic
1000C23×C4C23×C5911yescharacteristic
1001C23×C4C23×C5911yescharacteristic
1002C23×C4C23×C5911yescharacteristic
1003C23×C4C23×C5911yescharacteristic
1004C23×C4C23×C5911yescharacteristic
1005#127—42no—
1006#126—24no—
1007#126—42no—
1008#126—42no—
1009#123—42no—
1010#123—42no—
1011#123—42no—
1012#123—42no—
1013#123—42no—
1014#123—42no—
1015#121—24no—
1016#121—42no—
1017#120—24no—
1018#120—42no—
1019#120—42no—
1020C4×D4—42no—
1021C4×D4—42no—
1022C4×D4—42no—
1023C2×C4⋊C4C23×C5911yescharacteristic
1024C2×C4⋊C4C23×C5911yescharacteristic
1025C2×C4⋊C4C23×C5911yescharacteristic
1026C2×C4⋊C4C23×C5911yescharacteristic
1027C2×C4⋊C4C23×C5911yescharacteristic
1028C2×C4⋊C4C23×C5911yescharacteristic
1029C2×C4⋊C4C23×C5911yescharacteristic
1030C2×C4⋊C4C23×C5911yescharacteristic
1031C2×C4⋊C4C23×C5911yescharacteristic
1032C2×C4⋊C4C23×C5911yescharacteristic
1033C2×C4⋊C4C23×C5911yescharacteristic
1034C2×C4⋊C4C23×C5911yescharacteristic
1035C2×C4⋊C4C23×C5911yescharacteristic
1036C2×C4⋊C4C23×C5911yescharacteristic
1037C2×C4⋊C4C23×C5911yescharacteristic
1038C2×C4⋊C4C23×C5911yescharacteristic
1039C2×C4⋊C4C23×C5911yescharacteristic
1040C2×C4⋊C4C23×C5911yescharacteristic
1041C2×C4⋊C4C23×C5911yescharacteristic
1042C2×C4⋊C4C23×C5911yescharacteristic
1043C2×C4⋊C4C23×C5911yescharacteristic
1044C2×C4⋊C4C23×C5911yescharacteristic
1045C2×C4⋊C4C23×C5911yescharacteristic
1046C2×C4⋊C4C23×C5911yescharacteristic
1047C2×C4⋊C4C23×C5911yescharacteristic
1048C2×C4⋊C4C23×C5911yescharacteristic
1049C2×C4⋊C4C23×C5911yescharacteristic
1050C2×C4⋊C4C23×C5911yescharacteristic
1051C2×C4⋊C4C23×C5911yescharacteristic
1052C2×C4⋊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×C22⋊C4C23×C5911yescharacteristic
1073C2×C22⋊C4C23×C5911yescharacteristic
1074C2×C22⋊C4C23×C5911yescharacteristic
1075C2×C22⋊C4C23×C5911yescharacteristic
1076C2×C22⋊C4C23×C5911yescharacteristic
1077C2×C22⋊C4C23×C5911yescharacteristic
1078C2×C22⋊C4C23×C5911yescharacteristic
1079C2×C22⋊C4C23×C5911yescharacteristic
1080C2×C22⋊C4C23×C5911yescharacteristic
1081C2×C22⋊C4C23×C5911yescharacteristic
1082C2×C22⋊C4C23×C5911yescharacteristic
1083C2×C22⋊C4C23×C5911yescharacteristic
1084C2×C22⋊C4C23×C5911yescharacteristic
1085C2×C22⋊C4C23×C5911yescharacteristic
1086C2×C22⋊C4C23×C5911yescharacteristic
1087C2×C22⋊C4C23×C5911yescharacteristic
1088C2×C22⋊C4C23×C5911yescharacteristic
1089C2×C22⋊C4C23×C5911yescharacteristic
1090C2×C22⋊C4C23×C5911yescharacteristic
1091C2×C22⋊C4C23×C5911yescharacteristic
1092C2×C22⋊C4C23×C5911yescharacteristic
1093C2×C22⋊C4C23×C5911yescharacteristic
1094C2×C22⋊C4C23×C5911yescharacteristic
1095C2×C22⋊C4C23×C5911yescharacteristic
1096C2×C22⋊C4C23×C5911yescharacteristic
1097C2×C22⋊C4C23×C5911yescharacteristic
1098C2×C22⋊C4C23×C5911yescharacteristic
1099C2×C22⋊C4C23×C5911yescharacteristic
1100C2×C22⋊C4C23×C5911yescharacteristic
1101C2×C22⋊C4C23×C5911yescharacteristic
1102C2×C22⋊C4C23×C5911yescharacteristic
1103C2×C22⋊C4C23×C5911yescharacteristic
1104C2×C22⋊C4C23×C5911yescharacteristic
1105C2×C22⋊C4C23×C5911yescharacteristic
1106C2×C22⋊C4C23×C5911yescharacteristic
1107C2×C42C23×C5911yescharacteristic
1108C2×C42C23×C5911yescharacteristic
1109C2×C42C23×C5911yescharacteristic
1110C2×C42C23×C5911yescharacteristic
1111C2×C42C23×C5911yescharacteristic
1112C2×C42C23×C5911yescharacteristic
1113C2×C42C23×C5911yescharacteristic
1114C2×C42C23×C5911yescharacteristic
1115C2×C42C23×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
1136#95C23×C5911yescharacteristic
1137#95C23×C5911yescharacteristic
1138#95C23×C5911yescharacteristic
1139#95C23×C5911yescharacteristic
1140#95C23×C5911yescharacteristic
1141#95C23×C5911yescharacteristic
1142#95C23×C5911yescharacteristic
1143#95C23×C5911yescharacteristic
1144#95C23×C5911yescharacteristic
1145#95C23×C5911yescharacteristic
1146#95C23×C5911yescharacteristic
1147#95C23×C5911yescharacteristic
1148#95C23×C5911yescharacteristic
1149#95C23×C5911yescharacteristic
1150#95C23×C5911yescharacteristic
1151#95C23×C5911yescharacteristic
1152#95C23×C5911yescharacteristic
1153#95C23×C5911yescharacteristic
1154#95C23×C5911yescharacteristic
1155#95C23×C5911yescharacteristic
1156C24—22no—
1157C24—22no—
1158C24—22no—
1159C24—41no—
1160C24—41no—
1161C24—41no—
1162C24—41no—
1163C24C24×C5911yescharacteristic
1164C24C24×C5911yescharacteristic
1165C24C24×C5911yescharacteristic
1166C24C24×C5911yescharacteristic
1167C24C24×C5911yescharacteristic
1168C24C24×C5911yescharacteristic
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—416no—
1233C22×C4C24×C5911yescharacteristic
1234C22×C4C24×C5911yescharacteristic
1235C22×C4C24×C5911yescharacteristic
1236C22×C4C24×C5911yescharacteristic
1237C22×C4C24×C5911yescharacteristic
1238C22×C4C24×C5911yescharacteristic
1239C22×C4C24×C5911yescharacteristic
1240C22×C4C24×C5911yescharacteristic
1241C22×C4C24×C5911yescharacteristic
1242C22×C4C24×C5911yescharacteristic
1243C22×C4C24×C5911yescharacteristic
1244C22×C4C24×C5911yescharacteristic
1245C22×C4C24×C5911yescharacteristic
1246C22×C4C24×C5911yescharacteristic
1247C22×C4C24×C5911yescharacteristic
1248C22×C4C24×C5911yescharacteristic
1249C22×C4C24×C5911yescharacteristic
1250C22×C4C24×C5911yescharacteristic
1251C22×C4C24×C5911yescharacteristic
1252C22×C4C24×C5911yescharacteristic
1253C22×C4C24×C5911yescharacteristic
1254C22×C4C24×C5911yescharacteristic
1255C22×C4C24×C5911yescharacteristic
1256C22×C4C24×C5911yescharacteristic
1257C22×C4C24×C5911yescharacteristic
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4#41×C5914yes—
1342C42—22no—
1343C42—22no—
1344C42—41no—
1345C42—41no—
1346C42—41no—
1347C42—41no—
1348C42—41no—
1349C42—41no—
1350C42—41no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—44no—
1391C23—44no—
1392C23—44no—
1393C23—44no—
1394C23—44no—
1395C23—44no—
1396C23—44no—
1397C23C2×#41×C5912yes—
1398C23H(5,𝔽2)×C5912yes—
1399C23H(5,𝔽2)×C5912yes—
1400C23C25×C5911yescharacteristic
1401D4—44no—
1402D4—44no—
1403D4—44no—
1404D4—82no—
1405D4—82no—
1406D4—82no—
1407D4—82no—
1408D4—82no—
1409D4—82no—
1410D4—82no—
1411D4—82no—
1412D4—82no—
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—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—44no—
1486C2×C4—44no—
1487C2×C4—44no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—82no—
1492C2×C4—82no—
1493C2×C4—82no—
1494C2×C4C2×#41×C5912yes—
1495C2×C4C2×#41×C5912yes—
1496C2×C4H(5,𝔽2)×C5912yes—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—416no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22C22×#41×C5911yescharacteristic
1541C22C2×H(5,𝔽2)×C5911yescharacteristic
1542C22C2×H(5,𝔽2)×C5911yescharacteristic
1543C22C2×H(5,𝔽2)×C5911yescharacteristic
1544C22C59×#58511yescharacteristic
1545C22C59×#58511yescharacteristic
1546C22C59×#58511yescharacteristic
1547C4—22no—
1548C4—22no—
1549C4—22no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C2—42no—
1573C2—42no—
1574C2—42no—
1575C2—81no—
1576C2—81no—
1577C2—81no—
1578C2C59×#346011yescharacteristic
1579C2C59×#351311yescharacteristic
1580C2C59×#351311yescharacteristic
1581C2C59×#353211yescharacteristic
1582C2C59×#353311yescharacteristic
1583C2C59×#353311yescharacteristic
1584C2C59×#353911yescharacteristic
subgroupG/H
center, socleC23×C59C25
commutator, Frattini, cosocleC23C25×C59
prime radicalC59×#2669C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C59 ◁ G

Complements

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

NH ≅ G/Ntype
1. C59×#2849C2semidirect
2. C59×#2849C2semidirect
3. C59×#2790C2semidirect
4. C59×#2778C2semidirect
5. C59×#2765C2semidirect
6. C59×#2761C2semidirect
7. C59×#2753C2semidirect
8. C59×#2752C2semidirect
9. C59×#2743C2semidirect
10. C59×#2718C2semidirect
11. C59×#2709C2semidirect
12. C59×#2706C2semidirect
13. C59×#2701C2semidirect
14. C59×#2697C2semidirect
15. C59×#2691C2semidirect
16. C59×#2685C2semidirect
17. C59×#2685C2semidirect
19. C59×#2636C2semidirect
20. C59×#2630C2semidirect
21. C59×#2576C2semidirect
22. C59×#2575C2semidirect
23. C59×#2554C2semidirect
24. C59×#2553C2semidirect
25. C59×#2468C2semidirect
26. C59×#2457C2semidirect
27. C59×#2445C2semidirect
28. C59×#2422C2semidirect
29. C59×#2334C2semidirect
30. C59×#2333C2semidirect
31. C4×#120×C59C2semidirect
36. C2×#126×C59C22semidirect
42. C2×#123×C59C22semidirect
51. C59×#401C22semidirect
52. C59×#400C22semidirect
53. C59×#400C22semidirect
54. C59×#400C22semidirect
55. C59×#400C22semidirect
58. C59×#399C22semidirect
59. C59×#398C22semidirect
60. C59×#398C22semidirect
61. C59×#398C22semidirect
62. C59×#398C22semidirect
63. C59×#398C22semidirect
66. C59×#397C22semidirect
67. C59×#397C22semidirect
68. C59×#397C22semidirect
69. C59×#397C22semidirect
74. C59×#396C22semidirect
75. C59×#396C22semidirect
76. C59×#396C22semidirect
89. C59×#394C22semidirect
90. C59×#394C22semidirect
91. C59×#394C22semidirect
92. C59×#394C22semidirect
93. C59×#394C22semidirect
94. C59×#394C22semidirect
104. C59×#390C22semidirect
105. C59×#390C22semidirect
106. C59×#389C22semidirect
107. C59×#389C22semidirect
108. C59×#389C22semidirect
119. C59×#388C22semidirect
120. C59×#388C22semidirect
121. C59×#388C22semidirect
122. C59×#388C22semidirect
123. C59×#388C22semidirect
124. C59×#388C22semidirect
125. C59×#388C22semidirect
126. C59×#387C22semidirect
127. C59×#387C22semidirect
128. C59×#387C22semidirect
129. C59×#387C22semidirect
130. C59×#387C22semidirect
131. C59×#387C22semidirect
132. C59×#387C22semidirect
133. C59×#387C22semidirect
134. C59×#387C22semidirect
149. C59×#386C22semidirect
150. C59×#386C22semidirect
151. C59×#386C22semidirect
163. C59×#385C22semidirect
164. C59×#385C22semidirect
165. C59×#384C22semidirect
166. C59×#382C22semidirect
167. C59×#382C22semidirect
168. C59×#382C22semidirect
173. C59×#381C22semidirect
174. C59×#380C22semidirect
175. C59×#380C22semidirect
176. C59×#380C22semidirect
180. C4×C4⋊C4×C59C22semidirect
181. C4×C4⋊C4×C59C22semidirect
185. C4×C22⋊C4×C59C22semidirect
186. C4×C22⋊C4×C59C22semidirect
704. #36841C59direct (N × H)
780. #2849C2×C59semidirect
781. #2849C2×C59semidirect
782. #2790C2×C59semidirect
783. #2778C2×C59semidirect
784. #2765C2×C59semidirect
785. #2761C2×C59semidirect
786. #2753C2×C59semidirect
787. #2752C2×C59semidirect
788. #2743C2×C59semidirect
789. #2718C2×C59semidirect
790. #2709C2×C59semidirect
791. #2706C2×C59semidirect
792. #2701C2×C59semidirect
793. #2697C2×C59semidirect
794. #2691C2×C59semidirect
795. #2685C2×C59semidirect
796. #2685C2×C59semidirect
798. #2636C2×C59semidirect
799. #2630C2×C59semidirect
800. #2576C2×C59semidirect
801. #2575C2×C59semidirect
802. #2554C2×C59semidirect
803. #2553C2×C59semidirect
804. #2468C2×C59semidirect
805. #2457C2×C59semidirect
806. #2445C2×C59semidirect
807. #2422C2×C59semidirect
808. #2334C2×C59semidirect
809. #2333C2×C59semidirect
810. C4×#120C2×C59semidirect
828. C2×#126C22×C59semidirect
834. C2×#123C22×C59semidirect
843. #401C22×C59semidirect
844. #400C22×C59semidirect
845. #400C22×C59semidirect
846. #400C22×C59semidirect
847. #400C22×C59semidirect
850. #399C22×C59semidirect
851. #398C22×C59semidirect
852. #398C22×C59semidirect
853. #398C22×C59semidirect
854. #398C22×C59semidirect
855. #398C22×C59semidirect
858. #397C22×C59semidirect
859. #397C22×C59semidirect
860. #397C22×C59semidirect
861. #397C22×C59semidirect
866. #396C22×C59semidirect
867. #396C22×C59semidirect
868. #396C22×C59semidirect
881. #394C22×C59semidirect
882. #394C22×C59semidirect
883. #394C22×C59semidirect
884. #394C22×C59semidirect
885. #394C22×C59semidirect
886. #394C22×C59semidirect
896. #390C22×C59semidirect
897. #390C22×C59semidirect
898. #389C22×C59semidirect
899. #389C22×C59semidirect
900. #389C22×C59semidirect
911. #388C22×C59semidirect
912. #388C22×C59semidirect
913. #388C22×C59semidirect
914. #388C22×C59semidirect
915. #388C22×C59semidirect
916. #388C22×C59semidirect
917. #388C22×C59semidirect
918. #387C22×C59semidirect
919. #387C22×C59semidirect
920. #387C22×C59semidirect
921. #387C22×C59semidirect
922. #387C22×C59semidirect
923. #387C22×C59semidirect
924. #387C22×C59semidirect
925. #387C22×C59semidirect
926. #387C22×C59semidirect
941. #386C22×C59semidirect
942. #386C22×C59semidirect
943. #386C22×C59semidirect
955. #385C22×C59semidirect
956. #385C22×C59semidirect
957. #384C22×C59semidirect
958. #382C22×C59semidirect
959. #382C22×C59semidirect
960. #382C22×C59semidirect
965. #381C22×C59semidirect
966. #380C22×C59semidirect
967. #380C22×C59semidirect
968. #380C22×C59semidirect
972. C4×C4⋊C4C22×C59semidirect
973. C4×C4⋊C4C22×C59semidirect
977. C4×C22⋊C4C22×C59semidirect
978. C4×C22⋊C4C22×C59semidirect
979. C59#36841direct (N × H)

Maximal subgroups

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

subgroupindex
C59×#28492
C59×#27902
C59×#27782
C59×#27652
C59×#27612
C59×#27532
C59×#27522
C59×#27432
C59×#27182
C59×#27092
C59×#27062
C59×#27012
C59×#26972
C59×#26912
C59×#26852
C59×#26692
C59×#26362
C59×#26302
C59×#25762
C59×#25752
C59×#25542
C59×#25532
C59×#24682
C59×#24572
C59×#24452
C59×#24222
C59×#23342
C59×#23332
C4×#120×C592
#3684159