Finite Group Databasebeta

← C59×#34506 #28446615

Subgroups — C59×#34506 #28446615

Order 15104.

2132 conjugacy classes of subgroups.

The subgroup lattice has 1480 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C59×#553C211yesmaximal, characteristic
2C59×#2382C211yesmaximal, characteristic, complemented
3C59×#2377C211yesmaximal, characteristic, complemented
4C59×#2377C211yesmaximal, characteristic, complemented
5C59×#2376C211yesmaximal, characteristic, complemented
6C59×#2373C211yesmaximal, characteristic, complemented
7C59×#2373C211yesmaximal, characteristic, complemented
8C59×#2364C211yesmaximal, characteristic, complemented
9C59×#2363C211yesmaximal, characteristic, complemented
10C59×#2359C211yesmaximal, characteristic, complemented
11C59×#2357C211yesmaximal, characteristic, complemented
12C59×#2353C211yesmaximal, characteristic, complemented
13C59×#2352C211yesmaximal, characteristic, complemented
14C59×#2352C211yesmaximal, characteristic, complemented
15C59×#2344C211yesmaximal, characteristic, complemented
16C59×#2343C211yesmaximal, characteristic, complemented
17C59×#2336C211yesmaximal, characteristic, complemented
18C59×#2335C211yesmaximal, characteristic, complemented
19C59×#2334C211yesmaximal, characteristic, complemented
20C59×#2333C211yesmaximal, characteristic, complemented
21C59×#2333C211yesmaximal, characteristic, complemented
22C59×#2333C211yesmaximal, characteristic, complemented
23C59×#2324C211yesmaximal, characteristic, complemented
24C59×#2322C211yesmaximal, characteristic, complemented
25C59×#2319C211yesmaximal, characteristic, complemented
26C59×#2318C211yesmaximal, characteristic, complemented
27C59×#2318C211yesmaximal, characteristic, complemented
28C59×#2313C211yesmaximal, characteristic, complemented
29C4×#126×C59C211yesmaximal, characteristic, complemented
30C59×#2298C211yesmaximal, characteristic, complemented
31C59×#2293C211yesmaximal, characteristic, complemented
32C59×#553C4116yescomplemented
33C2×#126×C59C2211yescharacteristic
34C2×#126×C59C2211yescharacteristic
35C2×#125×C59C2211yescharacteristic
36C2×#123×C59C2211yescharacteristic
37C2×#123×C59C2211yescharacteristic
38C2×#121×C59C2211yescharacteristic
39C2×#121×C59C2211yescharacteristic
40C2×#121×C59C2211yescharacteristic
41C2×#121×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×#117×C59C2211yescharacteristic
49C2×#117×C59C2211yescharacteristic
50C2×#117×C59C2211yescharacteristic
51C2×#117×C59C2211yescharacteristic
52C22×C4⋊C4×C59C2211yescharacteristic
53C22×C4⋊C4×C59C2211yescharacteristic
54C59×#390C2211yescharacteristic
55C59×#390C2211yescharacteristic
56C59×#390C2211yescharacteristic
57C59×#390C2211yescharacteristic
58C59×#390C2211yescharacteristic
59C59×#390C2211yescharacteristic
60C59×#390C2211yescharacteristic
61C59×#390C2211yescharacteristic
62C59×#389C2211yescharacteristic
63C59×#389C2211yescharacteristic
64C59×#389C2211yescharacteristic
65C59×#389C2211yescharacteristic
66C59×#389C2211yescharacteristic
67C59×#389C2211yescharacteristic
68C59×#389C2211yescharacteristic
69C59×#389C2211yescharacteristic
70C59×#388C2211yescharacteristic
71C59×#388C2211yescharacteristic
72C59×#388C2211yescharacteristic
73C59×#388C2211yescharacteristic
74C59×#388C2211yescharacteristic
75C59×#388C2211yescharacteristic
76C59×#388C2211yescharacteristic
77C59×#388C2211yescharacteristic
78C59×#388C2211yescharacteristic
79C59×#388C2211yescharacteristic
80C59×#388C2211yescharacteristic
81C59×#388C2211yescharacteristic
82C59×#388C2211yescharacteristic
83C59×#388C2211yescharacteristic
84C59×#388C2211yescharacteristic
85C59×#388C2211yescharacteristic
86C59×#388C2211yescharacteristic
87C59×#388C2211yescharacteristic
88C59×#388C2211yescharacteristic
89C59×#388C2211yescharacteristic
90C59×#388C2211yescharacteristic
91C59×#388C2211yescharacteristic
92C59×#387C2211yescharacteristic
93C59×#387C2211yescharacteristic
94C59×#387C2211yescharacteristic
95C59×#387C2211yescharacteristic
96C59×#387C2211yescharacteristic
97C59×#387C2211yescharacteristic
98C59×#387C2211yescharacteristic
99C59×#387C2211yescharacteristic
100C59×#387C2211yescharacteristic
101C59×#387C2211yescharacteristic
102C59×#387C2211yescharacteristic
103C59×#387C2211yescharacteristic
104C59×#387C2211yescharacteristic
105C59×#387C2211yescharacteristic
106C59×#387C2211yescharacteristic
107C59×#387C2211yescharacteristic
108C59×#387C2211yescharacteristic
109C59×#387C2211yescharacteristic
110C59×#387C2211yescharacteristic
111C59×#387C2211yescharacteristic
112C59×#387C2211yescharacteristic
113C59×#387C2211yescharacteristic
114C59×#387C2211yescharacteristic
115C59×#387C2211yescharacteristic
116C59×#387C2211yescharacteristic
117C59×#387C2211yescharacteristic
118C59×#386C2211yescharacteristic
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
132C59×#385C2211yescharacteristic
133C59×#385C2211yescharacteristic
134C59×#385C2211yescharacteristic
135C59×#385C2211yescharacteristic
136C59×#385C2211yescharacteristic
137C59×#385C2211yescharacteristic
138C59×#385C2211yescharacteristic
139C59×#385C2211yescharacteristic
140C59×#383C2211yescharacteristic
141C59×#383C2211yescharacteristic
142C59×#382C2211yescharacteristic
143C59×#382C2211yescharacteristic
144C59×#382C2211yescharacteristic
145C59×#381C2211yescharacteristic
146C59×#381C2211yescharacteristic
147C59×#381C2211yescharacteristic
148C59×#381C2211yescharacteristic
149C59×#381C2211yescharacteristic
150C59×#381C2211yescharacteristic
151C59×#380C2211yescharacteristic
152C59×#380C2211yescharacteristic
153C59×#380C2211yescharacteristic
154C59×#380C2211yescharacteristic
155C59×#380C2211yescharacteristic
156C59×#380C2211yescharacteristic
157C4×C4⋊C4×C59C2211yescharacteristic
158C4×C4⋊C4×C59C2211yescharacteristic
159C4×C4⋊C4×C59C2211yescharacteristic
160C4×C4⋊C4×C59C2211yescharacteristic
161C4×C4⋊C4×C59C2211yescharacteristic
162C4×C4⋊C4×C59C2211yescharacteristic
163C4×C4⋊C4×C59C2211yescharacteristic
164C4×C4⋊C4×C59C2211yescharacteristic
165C4×C4⋊C4×C59C2211yescharacteristic
166C4×C4⋊C4×C59C2211yescharacteristic
167C4×C22⋊C4×C59C2211yescharacteristic
168C4×C22⋊C4×C59C2211yescharacteristic
169C4×C22⋊C4×C59C2211yescharacteristic
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
179C4×C22⋊C4×C59C2211yescharacteristic
180C4×C22⋊C4×C59C2211yescharacteristic
181C4×C22⋊C4×C59C2211yescharacteristic
182C4×C22⋊C4×C59C2211yescharacteristic
183C59×#376C2211yescharacteristic
184C59×#376C2211yescharacteristic
185C2×#95×C59C2211yescharacteristic
186C2×#95×C59C2211yescharacteristic
187C43×C59C2211yescharacteristic
188C22×D4×C59C2311yescharacteristic
189C22×D4×C59C2311yescharacteristic
190C22×D4×C59C2311yescharacteristic
191C22×D4×C59C2311yescharacteristic
192C22×D4×C59C2311yescharacteristic
193C22×D4×C59C2311yescharacteristic
194C23×C4×C59C2311yescharacteristic
195C23×C4×C59C2311yescharacteristic
196C23×C4×C59C2311yescharacteristic
197C23×C4×C59C2311yescharacteristic
198C23×C4×C59C2311yescharacteristic
199C23×C4×C59C2311yescharacteristic
200C23×C4×C59C2311yescharacteristic
201C23×C4×C59C2311yescharacteristic
202C23×C4×C59C2311yescharacteristic
203C23×C4×C59C2311yescharacteristic
204C23×C4×C59C2311yescharacteristic
205C23×C4×C59C2311yescharacteristic
206#126×C59C2×C418yescomplemented
207#126×C59C2×C418yescomplemented
208#125×C59C2×C418yescomplemented
209#123×C59C2×C418yescomplemented
210#123×C59C2×C418yescomplemented
211#121×C59C2×C418yes—
212#121×C59C2×C418yescomplemented
213#121×C59C2×C418yescomplemented
214#121×C59C2×C418yescomplemented
215C4×D4×C59—42no—
216C4×D4×C59—42no—
217C4×D4×C59C2×C418yescomplemented
218C4×D4×C59C2×C418yescomplemented
219C4×D4×C59C2×C418yescomplemented
220C4×D4×C59C2×C418yescomplemented
221#117×C59—42no—
222#117×C59—42no—
223#117×C59—42no—
224#117×C59C2×C418yescomplemented
225C2×C4⋊C4×C59—42no—
226C2×C4⋊C4×C59C2×C418yescomplemented
227C2×C4⋊C4×C59C2311yescharacteristic
228C2×C4⋊C4×C59C2311yescharacteristic
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×C4⋊C4×C59C2311yescharacteristic
254C2×C4⋊C4×C59C2311yescharacteristic
255C2×C4⋊C4×C59C2311yescharacteristic
256C2×C4⋊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×C42×C59C2311yescharacteristic
294C2×C42×C59C2311yescharacteristic
295C2×C42×C59C2311yescharacteristic
296C2×C42×C59C2311yescharacteristic
297C2×C42×C59C2311yescharacteristic
298C2×C42×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
311C2×C42×C59C2311yescharacteristic
312C2×C42×C59C2311yescharacteristic
313C2×C42×C59C2311yescharacteristic
314C2×C42×C59C2311yescharacteristic
315C2×C42×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
363#95×C59C2311yescharacteristic
364C24×C59C2411yescharacteristic
365C24×C59C2411yescharacteristic
366C24×C59C2411yescharacteristic
367C24×C59C2411yescharacteristic
368C2×D4×C59—41no—
369C2×D4×C59—41no—
370C2×D4×C59—41no—
371C2×D4×C59—41no—
372C2×D4×C59—41no—
373C2×D4×C59—41no—
374C2×D4×C59—41no—
375C2×D4×C59—41no—
376C2×D4×C59—41no—
377C2×D4×C59—41no—
378C2×D4×C59—41no—
379C2×D4×C59—41no—
380C2×D4×C59C22×C414yes—
381C2×D4×C59C22×C414yes—
382C2×D4×C59C22×C414yes—
383C2×D4×C59C22×C414yes—
384C2×D4×C59C22×C414yes—
385C2×D4×C59C22×C414yes—
386C22×C4×C59—22no—
387C22×C4×C59—41no—
388C22×C4×C59—41no—
389C22×C4×C59—41no—
390C22×C4×C59—41no—
391C22×C4×C59—41no—
392C22×C4×C59—41no—
393C22×C4×C59—41no—
394C22×C4×C59—41no—
395C22×C4×C59—41no—
396C22×C4×C59—41no—
397C22×C4×C59—41no—
398C22×C4×C59—41no—
399C22×C4×C59—41no—
400C22×C4×C59—41no—
401C22×C4×C59—41no—
402C22×C4×C59—41no—
403C22×C4×C59—41no—
404C22×C4×C59—41no—
405C22×C4×C59—41no—
406C22×C4×C59—41no—
407C22×C4×C59—41no—
408C22×C4×C59—41no—
409C22×C4×C59—41no—
410C22×C4×C59—41no—
411C22×C4×C59—41no—
412C22×C4×C59—41no—
413C22×C4×C59—41no—
414C22×C4×C59—41no—
415C22×C4×C59—41no—
416C22×C4×C59C22×C414yes—
417C22×C4×C59C22×C414yes—
418C22×C4×C59C22×C414yes—
419C22×C4×C59C22×C414yes—
420C22×C4×C59C22×C414yes—
421C22×C4×C59C22×C414yes—
422C22×C4×C59C2411yescharacteristic
423C22×C4×C59C2411yescharacteristic
424C22×C4×C59C2411yescharacteristic
425C22×C4×C59C2411yescharacteristic
426C22×C4×C59C2411yescharacteristic
427C22×C4×C59C2411yescharacteristic
428C22×C4×C59C2411yescharacteristic
429C22×C4×C59C2411yescharacteristic
430C22×C4×C59C2411yescharacteristic
431C22×C4×C59C2411yescharacteristic
432C22×C4×C59C2411yescharacteristic
433C22×C4×C59C2411yescharacteristic
434C22×C4×C59C2411yescharacteristic
435C22×C4×C59C2411yescharacteristic
436C22×C4×C59C2411yescharacteristic
437C22×C4×C59C2411yescharacteristic
438C22×C4×C59C2411yescharacteristic
439C22×C4×C59C2411yescharacteristic
440C22×C4×C59C2411yescharacteristic
441C22×C4×C59C2411yescharacteristic
442C22×C4×C59C2411yescharacteristic
443C22×C4×C59C2411yescharacteristic
444C22×C4×C59C2411yescharacteristic
445C22×C4×C59C2411yescharacteristic
446C22×C4×C59C2411yescharacteristic
447C22×C4×C59C2411yescharacteristic
448C22×C4×C59C2411yescharacteristic
449C4⋊C4×C59—22no—
450C4⋊C4×C59—22no—
451C4⋊C4×C59—22no—
452C4⋊C4×C59—41no—
453C4⋊C4×C59—41no—
454C4⋊C4×C59—41no—
455C4⋊C4×C59—41no—
456C4⋊C4×C59—41no—
457C4⋊C4×C59—41no—
458C4⋊C4×C59—41no—
459C4⋊C4×C59—41no—
460C4⋊C4×C59—41no—
461C4⋊C4×C59—41no—
462C4⋊C4×C59—41no—
463C4⋊C4×C59—41no—
464C4⋊C4×C59—41no—
465C4⋊C4×C59—41no—
466C4⋊C4×C59—41no—
467C4⋊C4×C59—41no—
468C4⋊C4×C59—41no—
469C4⋊C4×C59C22×C414yes—
470C4⋊C4×C59C22×C414yes—
471C4⋊C4×C59C22×C414yes—
472C4⋊C4×C59C22×C414yes—
473C4⋊C4×C59C22×C414yes—
474C4⋊C4×C59C22×C414yes—
475C4⋊C4×C59C22×C414yes—
476C4⋊C4×C59C22×C414yes—
477C4⋊C4×C59C22×C414yes—
478C4⋊C4×C59C22×C414yes—
479C22⋊C4×C59—22no—
480C22⋊C4×C59—22no—
481C22⋊C4×C59—22no—
482C22⋊C4×C59—41no—
483C22⋊C4×C59—41no—
484C22⋊C4×C59—41no—
485C22⋊C4×C59—41no—
486C22⋊C4×C59—41no—
487C22⋊C4×C59—41no—
488C22⋊C4×C59—41no—
489C22⋊C4×C59—41no—
490C22⋊C4×C59—41no—
491C22⋊C4×C59—41no—
492C22⋊C4×C59—41no—
493C22⋊C4×C59—41no—
494C22⋊C4×C59—41no—
495C22⋊C4×C59—41no—
496C22⋊C4×C59—41no—
497C22⋊C4×C59—41no—
498C22⋊C4×C59—41no—
499C22⋊C4×C59—41no—
500C22⋊C4×C59—41no—
501C22⋊C4×C59—41no—
502C22⋊C4×C59—41no—
503C22⋊C4×C59—41no—
504C22⋊C4×C59—41no—
505C22⋊C4×C59C22×C414yes—
506C22⋊C4×C59C22×C414yes—
507C22⋊C4×C59C22×C414yes—
508C22⋊C4×C59C22×C414yes—
509C22⋊C4×C59C22×C414yes—
510C22⋊C4×C59C22×C414yes—
511C22⋊C4×C59C22×C414yes—
512C22⋊C4×C59C22×C414yes—
513C22⋊C4×C59C22×C414yes—
514C22⋊C4×C59C22×C414yes—
515C42×C59—22no—
516C42×C59—22no—
517C42×C59—41no—
518C42×C59—41no—
519C42×C59—41no—
520C42×C59—41no—
521C42×C59—41no—
522C42×C59—41no—
523C42×C59—41no—
524C42×C59—41no—
525C42×C59—41no—
526C42×C59—41no—
527C42×C59—41no—
528C42×C59—41no—
529C42×C59—41no—
530C42×C59—41no—
531C42×C59—41no—
532C42×C59—41no—
533C42×C59—41no—
534C42×C59—41no—
535C42×C59C22×C414yes—
536C42×C59C22×C414yes—
537C42×C59C22×C414yes—
538C23×C59—21no—
539C23×C59—21no—
540C23×C59—21no—
541C23×C59—21no—
542C23×C59—21no—
543C23×C59—21no—
544C23×C59—21no—
545C23×C59—21no—
546C23×C59—21no—
547C23×C59—21no—
548C23×C59—21no—
549C23×C59—21no—
550C23×C59—21no—
551C23×C59—21no—
552C23×C59—21no—
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×C59C23×C412yes—
563C23×C59C23×C412yes—
564C23×C59C23×C412yes—
565C23×C59C23×C412yes—
566C23×C59C2511yescharacteristic
567D4×C59—44no—
568D4×C59—44no—
569D4×C59—44no—
570D4×C59—44no—
571D4×C59—44no—
572D4×C59—44no—
573C2×C4×C59—21no—
574C2×C4×C59—21no—
575C2×C4×C59—21no—
576C2×C4×C59—21no—
577C2×C4×C59—21no—
578C2×C4×C59—21no—
579C2×C4×C59—21no—
580C2×C4×C59—21no—
581C2×C4×C59—21no—
582C2×C4×C59—21no—
583C2×C4×C59—21no—
584C2×C4×C59—21no—
585C2×C4×C59—21no—
586C2×C4×C59—21no—
587C2×C4×C59—21no—
588C2×C4×C59—21no—
589C2×C4×C59—21no—
590C2×C4×C59—21no—
591C2×C4×C59—21no—
592C2×C4×C59—21no—
593C2×C4×C59—21no—
594C2×C4×C59—21no—
595C2×C4×C59—21no—
596C2×C4×C59—21no—
597C2×C4×C59—21no—
598C2×C4×C59—21no—
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—44no—
643C2×C4×C59—44no—
644C2×C4×C59—44no—
645C2×C4×C59—44no—
646C2×C4×C59—44no—
647C2×C4×C59—44no—
648C2×C4×C59—82no—
649C2×C4×C59—82no—
650C2×C4×C59—82no—
651C2×C4×C59—82no—
652C2×C4×C59—82no—
653C2×C4×C59—82no—
654C2×C4×C59C23×C412yes—
655C2×C4×C59C23×C412yes—
656C2×C4×C59C23×C412yes—
657C2×C4×C59C23×C412yes—
658C2×C4×C59C23×C412yes—
659C2×C4×C59C23×C412yes—
660C2×C4×C59C23×C412yes—
661C2×C4×C59C23×C412yes—
662C2×C4×C59C23×C412yes—
663C2×C4×C59C23×C412yes—
664C2×C4×C59C23×C412yes—
665C2×C4×C59H(5,𝔽2)12yes—
666#34506C5911yesmaximal, characteristic, direct product factor, Sylow
667C22×C59—22no—
668C22×C59—22no—
669C22×C59—22no—
670C22×C59—22no—
671C22×C59—22no—
672C22×C59—22no—
673C22×C59—22no—
674C22×C59—22no—
675C22×C59—22no—
676C22×C59—22no—
677C22×C59—22no—
678C22×C59—22no—
679C22×C59—41no—
680C22×C59—41no—
681C22×C59—41no—
682C22×C59—41no—
683C22×C59—41no—
684C22×C59—41no—
685C22×C59—41no—
686C22×C59—41no—
687C22×C59—41no—
688C22×C59—41no—
689C22×C59—41no—
690C22×C59—41no—
691C22×C59—41no—
692C22×C59—41no—
693C22×C59—41no—
694C22×C59—41no—
695C22×C59C24×C411yescharacteristic
696C22×C59C2×H(5,𝔽2)11yescharacteristic
697C22×C59#58511yescharacteristic
698C22×C59#58511yescharacteristic
699C22×C59#58511yescharacteristic
700C22×C59#58511yescharacteristic
701C22×C59#58511yescharacteristic
702C4×C59—22no—
703C4×C59—22no—
704C4×C59—22no—
705C4×C59—22no—
706C4×C59—22no—
707C4×C59—22no—
708C4×C59—22no—
709C4×C59—22no—
710C4×C59—22no—
711C4×C59—22no—
712C4×C59—22no—
713C4×C59—22no—
714C4×C59—41no—
715C4×C59—41no—
716C4×C59—41no—
717C4×C59—41no—
718C4×C59—41no—
719C4×C59—41no—
720C4×C59—41no—
721C4×C59—41no—
722C4×C59—41no—
723C4×C59—41no—
724C4×C59—41no—
725C4×C59—41no—
726C4×C59—41no—
727C4×C59—41no—
728C4×C59—41no—
729C2×#553C2×C5911yescharacteristic
730#2382C2×C5911yescharacteristic, complemented
731#2377C2×C5911yescharacteristic, complemented
732#2377C2×C5911yescharacteristic, complemented
733#2376C2×C5911yescharacteristic, complemented
734#2373C2×C5911yescharacteristic, complemented
735#2373C2×C5911yescharacteristic, complemented
736#2364C2×C5911yescharacteristic, complemented
737#2363C2×C5911yescharacteristic, complemented
738#2359C2×C5911yescharacteristic, complemented
739#2357C2×C5911yescharacteristic, complemented
740#2353C2×C5911yescharacteristic, complemented
741#2352C2×C5911yescharacteristic, complemented
742#2352C2×C5911yescharacteristic, complemented
743#2344C2×C5911yescharacteristic, complemented
744#2343C2×C5911yescharacteristic, complemented
745#2336C2×C5911yescharacteristic, complemented
746#2335C2×C5911yescharacteristic, complemented
747#2334C2×C5911yescharacteristic, complemented
748#2333C2×C5911yescharacteristic, complemented
749#2333C2×C5911yescharacteristic, complemented
750#2333C2×C5911yescharacteristic, complemented
751#2324C2×C5911yescharacteristic, complemented
752#2322C2×C5911yescharacteristic, complemented
753#2319C2×C5911yescharacteristic, complemented
754#2318C2×C5911yescharacteristic, complemented
755#2318C2×C5911yescharacteristic, complemented
756#2313C2×C5911yescharacteristic, complemented
757C4×#126C2×C5911yescharacteristic, complemented
758#2298C2×C5911yescharacteristic, complemented
759#2293C2×C5911yescharacteristic, complemented
760C2×C59—42no—
761C2×C59—42no—
762C2×C59—42no—
763C2×C59—42no—
764C2×C59#342811yescharacteristic
765C2×C59#342811yescharacteristic
766C2×C59C4×H(5,𝔽2)11yescharacteristic
767C2×C59#356011yescharacteristic
768C2×C59#356211yescharacteristic
769C2×C59#356611yescharacteristic
770C2×C59#356711yescharacteristic
771#553C4×C59116yescomplemented
772C2×#126C22×C5911yescharacteristic
773C2×#126C22×C5911yescharacteristic
774C2×#125C22×C5911yescharacteristic
775C2×#123C22×C5911yescharacteristic
776C2×#123C22×C5911yescharacteristic
777C2×#121C22×C5911yescharacteristic
778C2×#121C22×C5911yescharacteristic
779C2×#121C22×C5911yescharacteristic
780C2×#121C22×C5911yescharacteristic
781C2×C4×D4C22×C5911yescharacteristic
782C2×C4×D4C22×C5911yescharacteristic
783C2×C4×D4C22×C5911yescharacteristic
784C2×C4×D4C22×C5911yescharacteristic
785C2×C4×D4C22×C5911yescharacteristic
786C2×C4×D4C22×C5911yescharacteristic
787C2×#117C22×C5911yescharacteristic
788C2×#117C22×C5911yescharacteristic
789C2×#117C22×C5911yescharacteristic
790C2×#117C22×C5911yescharacteristic
791C22×C4⋊C4C22×C5911yescharacteristic
792C22×C4⋊C4C22×C5911yescharacteristic
793#390C22×C5911yescharacteristic
794#390C22×C5911yescharacteristic
795#390C22×C5911yescharacteristic
796#390C22×C5911yescharacteristic
797#390C22×C5911yescharacteristic
798#390C22×C5911yescharacteristic
799#390C22×C5911yescharacteristic
800#390C22×C5911yescharacteristic
801#389C22×C5911yescharacteristic
802#389C22×C5911yescharacteristic
803#389C22×C5911yescharacteristic
804#389C22×C5911yescharacteristic
805#389C22×C5911yescharacteristic
806#389C22×C5911yescharacteristic
807#389C22×C5911yescharacteristic
808#389C22×C5911yescharacteristic
809#388C22×C5911yescharacteristic
810#388C22×C5911yescharacteristic
811#388C22×C5911yescharacteristic
812#388C22×C5911yescharacteristic
813#388C22×C5911yescharacteristic
814#388C22×C5911yescharacteristic
815#388C22×C5911yescharacteristic
816#388C22×C5911yescharacteristic
817#388C22×C5911yescharacteristic
818#388C22×C5911yescharacteristic
819#388C22×C5911yescharacteristic
820#388C22×C5911yescharacteristic
821#388C22×C5911yescharacteristic
822#388C22×C5911yescharacteristic
823#388C22×C5911yescharacteristic
824#388C22×C5911yescharacteristic
825#388C22×C5911yescharacteristic
826#388C22×C5911yescharacteristic
827#388C22×C5911yescharacteristic
828#388C22×C5911yescharacteristic
829#388C22×C5911yescharacteristic
830#388C22×C5911yescharacteristic
831#387C22×C5911yescharacteristic
832#387C22×C5911yescharacteristic
833#387C22×C5911yescharacteristic
834#387C22×C5911yescharacteristic
835#387C22×C5911yescharacteristic
836#387C22×C5911yescharacteristic
837#387C22×C5911yescharacteristic
838#387C22×C5911yescharacteristic
839#387C22×C5911yescharacteristic
840#387C22×C5911yescharacteristic
841#387C22×C5911yescharacteristic
842#387C22×C5911yescharacteristic
843#387C22×C5911yescharacteristic
844#387C22×C5911yescharacteristic
845#387C22×C5911yescharacteristic
846#387C22×C5911yescharacteristic
847#387C22×C5911yescharacteristic
848#387C22×C5911yescharacteristic
849#387C22×C5911yescharacteristic
850#387C22×C5911yescharacteristic
851#387C22×C5911yescharacteristic
852#387C22×C5911yescharacteristic
853#387C22×C5911yescharacteristic
854#387C22×C5911yescharacteristic
855#387C22×C5911yescharacteristic
856#387C22×C5911yescharacteristic
857#386C22×C5911yescharacteristic
858#386C22×C5911yescharacteristic
859#386C22×C5911yescharacteristic
860#386C22×C5911yescharacteristic
861#386C22×C5911yescharacteristic
862#386C22×C5911yescharacteristic
863#386C22×C5911yescharacteristic
864#386C22×C5911yescharacteristic
865#386C22×C5911yescharacteristic
866#386C22×C5911yescharacteristic
867#386C22×C5911yescharacteristic
868#386C22×C5911yescharacteristic
869#386C22×C5911yescharacteristic
870#386C22×C5911yescharacteristic
871#385C22×C5911yescharacteristic
872#385C22×C5911yescharacteristic
873#385C22×C5911yescharacteristic
874#385C22×C5911yescharacteristic
875#385C22×C5911yescharacteristic
876#385C22×C5911yescharacteristic
877#385C22×C5911yescharacteristic
878#385C22×C5911yescharacteristic
879#383C22×C5911yescharacteristic
880#383C22×C5911yescharacteristic
881#382C22×C5911yescharacteristic
882#382C22×C5911yescharacteristic
883#382C22×C5911yescharacteristic
884#381C22×C5911yescharacteristic
885#381C22×C5911yescharacteristic
886#381C22×C5911yescharacteristic
887#381C22×C5911yescharacteristic
888#381C22×C5911yescharacteristic
889#381C22×C5911yescharacteristic
890#380C22×C5911yescharacteristic
891#380C22×C5911yescharacteristic
892#380C22×C5911yescharacteristic
893#380C22×C5911yescharacteristic
894#380C22×C5911yescharacteristic
895#380C22×C5911yescharacteristic
896C4×C4⋊C4C22×C5911yescharacteristic
897C4×C4⋊C4C22×C5911yescharacteristic
898C4×C4⋊C4C22×C5911yescharacteristic
899C4×C4⋊C4C22×C5911yescharacteristic
900C4×C4⋊C4C22×C5911yescharacteristic
901C4×C4⋊C4C22×C5911yescharacteristic
902C4×C4⋊C4C22×C5911yescharacteristic
903C4×C4⋊C4C22×C5911yescharacteristic
904C4×C4⋊C4C22×C5911yescharacteristic
905C4×C4⋊C4C22×C5911yescharacteristic
906C4×C22⋊C4C22×C5911yescharacteristic
907C4×C22⋊C4C22×C5911yescharacteristic
908C4×C22⋊C4C22×C5911yescharacteristic
909C4×C22⋊C4C22×C5911yescharacteristic
910C4×C22⋊C4C22×C5911yescharacteristic
911C4×C22⋊C4C22×C5911yescharacteristic
912C4×C22⋊C4C22×C5911yescharacteristic
913C4×C22⋊C4C22×C5911yescharacteristic
914C4×C22⋊C4C22×C5911yescharacteristic
915C4×C22⋊C4C22×C5911yescharacteristic
916C4×C22⋊C4C22×C5911yescharacteristic
917C4×C22⋊C4C22×C5911yescharacteristic
918C4×C22⋊C4C22×C5911yescharacteristic
919C4×C22⋊C4C22×C5911yescharacteristic
920C4×C22⋊C4C22×C5911yescharacteristic
921C4×C22⋊C4C22×C5911yescharacteristic
922#376C22×C5911yescharacteristic
923#376C22×C5911yescharacteristic
924C2×#95C22×C5911yescharacteristic
925C2×#95C22×C5911yescharacteristic
926C43C22×C5911yescharacteristic
927C59#3450611yescharacteristic, direct product factor, Sylow
928C22×D4C23×C5911yescharacteristic
929C22×D4C23×C5911yescharacteristic
930C22×D4C23×C5911yescharacteristic
931C22×D4C23×C5911yescharacteristic
932C22×D4C23×C5911yescharacteristic
933C22×D4C23×C5911yescharacteristic
934C23×C4C23×C5911yescharacteristic
935C23×C4C23×C5911yescharacteristic
936C23×C4C23×C5911yescharacteristic
937C23×C4C23×C5911yescharacteristic
938C23×C4C23×C5911yescharacteristic
939C23×C4C23×C5911yescharacteristic
940C23×C4C23×C5911yescharacteristic
941C23×C4C23×C5911yescharacteristic
942C23×C4C23×C5911yescharacteristic
943C23×C4C23×C5911yescharacteristic
944C23×C4C23×C5911yescharacteristic
945C23×C4C23×C5911yescharacteristic
946#126C2×C4×C5918yescomplemented
947#126C2×C4×C5918yescomplemented
948#125C2×C4×C5918yescomplemented
949#123C2×C4×C5918yescomplemented
950#123C2×C4×C5918yescomplemented
951#121C2×C4×C5918yes—
952#121C2×C4×C5918yescomplemented
953#121C2×C4×C5918yescomplemented
954#121C2×C4×C5918yescomplemented
955C4×D4—42no—
956C4×D4—42no—
957C4×D4C2×C4×C5918yescomplemented
958C4×D4C2×C4×C5918yescomplemented
959C4×D4C2×C4×C5918yescomplemented
960C4×D4C2×C4×C5918yescomplemented
961#117—42no—
962#117—42no—
963#117—42no—
964#117C2×C4×C5918yescomplemented
965C2×C4⋊C4—42no—
966C2×C4⋊C4C2×C4×C5918yescomplemented
967C2×C4⋊C4C23×C5911yescharacteristic
968C2×C4⋊C4C23×C5911yescharacteristic
969C2×C4⋊C4C23×C5911yescharacteristic
970C2×C4⋊C4C23×C5911yescharacteristic
971C2×C4⋊C4C23×C5911yescharacteristic
972C2×C4⋊C4C23×C5911yescharacteristic
973C2×C4⋊C4C23×C5911yescharacteristic
974C2×C4⋊C4C23×C5911yescharacteristic
975C2×C4⋊C4C23×C5911yescharacteristic
976C2×C4⋊C4C23×C5911yescharacteristic
977C2×C4⋊C4C23×C5911yescharacteristic
978C2×C4⋊C4C23×C5911yescharacteristic
979C2×C4⋊C4C23×C5911yescharacteristic
980C2×C4⋊C4C23×C5911yescharacteristic
981C2×C4⋊C4C23×C5911yescharacteristic
982C2×C4⋊C4C23×C5911yescharacteristic
983C2×C4⋊C4C23×C5911yescharacteristic
984C2×C4⋊C4C23×C5911yescharacteristic
985C2×C4⋊C4C23×C5911yescharacteristic
986C2×C4⋊C4C23×C5911yescharacteristic
987C2×C4⋊C4C23×C5911yescharacteristic
988C2×C4⋊C4C23×C5911yescharacteristic
989C2×C4⋊C4C23×C5911yescharacteristic
990C2×C4⋊C4C23×C5911yescharacteristic
991C2×C4⋊C4C23×C5911yescharacteristic
992C2×C4⋊C4C23×C5911yescharacteristic
993C2×C4⋊C4C23×C5911yescharacteristic
994C2×C4⋊C4C23×C5911yescharacteristic
995C2×C4⋊C4C23×C5911yescharacteristic
996C2×C4⋊C4C23×C5911yescharacteristic
997C2×C22⋊C4C23×C5911yescharacteristic
998C2×C22⋊C4C23×C5911yescharacteristic
999C2×C22⋊C4C23×C5911yescharacteristic
1000C2×C22⋊C4C23×C5911yescharacteristic
1001C2×C22⋊C4C23×C5911yescharacteristic
1002C2×C22⋊C4C23×C5911yescharacteristic
1003C2×C22⋊C4C23×C5911yescharacteristic
1004C2×C22⋊C4C23×C5911yescharacteristic
1005C2×C22⋊C4C23×C5911yescharacteristic
1006C2×C22⋊C4C23×C5911yescharacteristic
1007C2×C22⋊C4C23×C5911yescharacteristic
1008C2×C22⋊C4C23×C5911yescharacteristic
1009C2×C22⋊C4C23×C5911yescharacteristic
1010C2×C22⋊C4C23×C5911yescharacteristic
1011C2×C22⋊C4C23×C5911yescharacteristic
1012C2×C22⋊C4C23×C5911yescharacteristic
1013C2×C22⋊C4C23×C5911yescharacteristic
1014C2×C22⋊C4C23×C5911yescharacteristic
1015C2×C22⋊C4C23×C5911yescharacteristic
1016C2×C22⋊C4C23×C5911yescharacteristic
1017C2×C22⋊C4C23×C5911yescharacteristic
1018C2×C22⋊C4C23×C5911yescharacteristic
1019C2×C22⋊C4C23×C5911yescharacteristic
1020C2×C22⋊C4C23×C5911yescharacteristic
1021C2×C22⋊C4C23×C5911yescharacteristic
1022C2×C22⋊C4C23×C5911yescharacteristic
1023C2×C22⋊C4C23×C5911yescharacteristic
1024C2×C22⋊C4C23×C5911yescharacteristic
1025C2×C22⋊C4C23×C5911yescharacteristic
1026C2×C22⋊C4C23×C5911yescharacteristic
1027C2×C22⋊C4C23×C5911yescharacteristic
1028C2×C22⋊C4C23×C5911yescharacteristic
1029C2×C22⋊C4C23×C5911yescharacteristic
1030C2×C22⋊C4C23×C5911yescharacteristic
1031C2×C22⋊C4C23×C5911yescharacteristic
1032C2×C22⋊C4C23×C5911yescharacteristic
1033C2×C42C23×C5911yescharacteristic
1034C2×C42C23×C5911yescharacteristic
1035C2×C42C23×C5911yescharacteristic
1036C2×C42C23×C5911yescharacteristic
1037C2×C42C23×C5911yescharacteristic
1038C2×C42C23×C5911yescharacteristic
1039C2×C42C23×C5911yescharacteristic
1040C2×C42C23×C5911yescharacteristic
1041C2×C42C23×C5911yescharacteristic
1042C2×C42C23×C5911yescharacteristic
1043C2×C42C23×C5911yescharacteristic
1044C2×C42C23×C5911yescharacteristic
1045C2×C42C23×C5911yescharacteristic
1046C2×C42C23×C5911yescharacteristic
1047C2×C42C23×C5911yescharacteristic
1048C2×C42C23×C5911yescharacteristic
1049C2×C42C23×C5911yescharacteristic
1050C2×C42C23×C5911yescharacteristic
1051C2×C42C23×C5911yescharacteristic
1052C2×C42C23×C5911yescharacteristic
1053C2×C42C23×C5911yescharacteristic
1054C2×C42C23×C5911yescharacteristic
1055C2×C42C23×C5911yescharacteristic
1056#95C23×C5911yescharacteristic
1057#95C23×C5911yescharacteristic
1058#95C23×C5911yescharacteristic
1059#95C23×C5911yescharacteristic
1060#95C23×C5911yescharacteristic
1061#95C23×C5911yescharacteristic
1062#95C23×C5911yescharacteristic
1063#95C23×C5911yescharacteristic
1064#95C23×C5911yescharacteristic
1065#95C23×C5911yescharacteristic
1066#95C23×C5911yescharacteristic
1067#95C23×C5911yescharacteristic
1068#95C23×C5911yescharacteristic
1069#95C23×C5911yescharacteristic
1070#95C23×C5911yescharacteristic
1071#95C23×C5911yescharacteristic
1072#95C23×C5911yescharacteristic
1073#95C23×C5911yescharacteristic
1074#95C23×C5911yescharacteristic
1075#95C23×C5911yescharacteristic
1076#95C23×C5911yescharacteristic
1077#95C23×C5911yescharacteristic
1078#95C23×C5911yescharacteristic
1079#95C23×C5911yescharacteristic
1080#95C23×C5911yescharacteristic
1081#95C23×C5911yescharacteristic
1082#95C23×C5911yescharacteristic
1083#95C23×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
1104C24C24×C5911yescharacteristic
1105C24C24×C5911yescharacteristic
1106C24C24×C5911yescharacteristic
1107C24C24×C5911yescharacteristic
1108C2×D4—41no—
1109C2×D4—41no—
1110C2×D4—41no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C2×D4—41no—
1115C2×D4—41no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4C22×C4×C5914yes—
1121C2×D4C22×C4×C5914yes—
1122C2×D4C22×C4×C5914yes—
1123C2×D4C22×C4×C5914yes—
1124C2×D4C22×C4×C5914yes—
1125C2×D4C22×C4×C5914yes—
1126C22×C4—22no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4—41no—
1132C22×C4—41no—
1133C22×C4—41no—
1134C22×C4—41no—
1135C22×C4—41no—
1136C22×C4—41no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4—41no—
1140C22×C4—41no—
1141C22×C4—41no—
1142C22×C4—41no—
1143C22×C4—41no—
1144C22×C4—41no—
1145C22×C4—41no—
1146C22×C4—41no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4C22×C4×C5914yes—
1157C22×C4C22×C4×C5914yes—
1158C22×C4C22×C4×C5914yes—
1159C22×C4C22×C4×C5914yes—
1160C22×C4C22×C4×C5914yes—
1161C22×C4C22×C4×C5914yes—
1162C22×C4C24×C5911yescharacteristic
1163C22×C4C24×C5911yescharacteristic
1164C22×C4C24×C5911yescharacteristic
1165C22×C4C24×C5911yescharacteristic
1166C22×C4C24×C5911yescharacteristic
1167C22×C4C24×C5911yescharacteristic
1168C22×C4C24×C5911yescharacteristic
1169C22×C4C24×C5911yescharacteristic
1170C22×C4C24×C5911yescharacteristic
1171C22×C4C24×C5911yescharacteristic
1172C22×C4C24×C5911yescharacteristic
1173C22×C4C24×C5911yescharacteristic
1174C22×C4C24×C5911yescharacteristic
1175C22×C4C24×C5911yescharacteristic
1176C22×C4C24×C5911yescharacteristic
1177C22×C4C24×C5911yescharacteristic
1178C22×C4C24×C5911yescharacteristic
1179C22×C4C24×C5911yescharacteristic
1180C22×C4C24×C5911yescharacteristic
1181C22×C4C24×C5911yescharacteristic
1182C22×C4C24×C5911yescharacteristic
1183C22×C4C24×C5911yescharacteristic
1184C22×C4C24×C5911yescharacteristic
1185C22×C4C24×C5911yescharacteristic
1186C22×C4C24×C5911yescharacteristic
1187C22×C4C24×C5911yescharacteristic
1188C22×C4C24×C5911yescharacteristic
1189C4⋊C4—22no—
1190C4⋊C4—22no—
1191C4⋊C4—22no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C4⋊C4—41no—
1195C4⋊C4—41no—
1196C4⋊C4—41no—
1197C4⋊C4—41no—
1198C4⋊C4—41no—
1199C4⋊C4—41no—
1200C4⋊C4—41no—
1201C4⋊C4—41no—
1202C4⋊C4—41no—
1203C4⋊C4—41no—
1204C4⋊C4—41no—
1205C4⋊C4—41no—
1206C4⋊C4—41no—
1207C4⋊C4—41no—
1208C4⋊C4—41no—
1209C4⋊C4C22×C4×C5914yes—
1210C4⋊C4C22×C4×C5914yes—
1211C4⋊C4C22×C4×C5914yes—
1212C4⋊C4C22×C4×C5914yes—
1213C4⋊C4C22×C4×C5914yes—
1214C4⋊C4C22×C4×C5914yes—
1215C4⋊C4C22×C4×C5914yes—
1216C4⋊C4C22×C4×C5914yes—
1217C4⋊C4C22×C4×C5914yes—
1218C4⋊C4C22×C4×C5914yes—
1219C22⋊C4—22no—
1220C22⋊C4—22no—
1221C22⋊C4—22no—
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—41no—
1233C22⋊C4—41no—
1234C22⋊C4—41no—
1235C22⋊C4—41no—
1236C22⋊C4—41no—
1237C22⋊C4—41no—
1238C22⋊C4—41no—
1239C22⋊C4—41no—
1240C22⋊C4—41no—
1241C22⋊C4—41no—
1242C22⋊C4—41no—
1243C22⋊C4—41no—
1244C22⋊C4—41no—
1245C22⋊C4C22×C4×C5914yes—
1246C22⋊C4C22×C4×C5914yes—
1247C22⋊C4C22×C4×C5914yes—
1248C22⋊C4C22×C4×C5914yes—
1249C22⋊C4C22×C4×C5914yes—
1250C22⋊C4C22×C4×C5914yes—
1251C22⋊C4C22×C4×C5914yes—
1252C22⋊C4C22×C4×C5914yes—
1253C22⋊C4C22×C4×C5914yes—
1254C22⋊C4C22×C4×C5914yes—
1255C42—22no—
1256C42—22no—
1257C42—41no—
1258C42—41no—
1259C42—41no—
1260C42—41no—
1261C42—41no—
1262C42—41no—
1263C42—41no—
1264C42—41no—
1265C42—41no—
1266C42—41no—
1267C42—41no—
1268C42—41no—
1269C42—41no—
1270C42—41no—
1271C42—41no—
1272C42—41no—
1273C42—41no—
1274C42—41no—
1275C42C22×C4×C5914yes—
1276C42C22×C4×C5914yes—
1277C42C22×C4×C5914yes—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23C23×C4×C5912yes—
1303C23C23×C4×C5912yes—
1304C23C23×C4×C5912yes—
1305C23C23×C4×C5912yes—
1306C23C25×C5911yescharacteristic
1307D4—44no—
1308D4—44no—
1309D4—44no—
1310D4—44no—
1311D4—44no—
1312D4—44no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
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—44no—
1383C2×C4—44no—
1384C2×C4—44no—
1385C2×C4—44no—
1386C2×C4—44no—
1387C2×C4—44no—
1388C2×C4—82no—
1389C2×C4—82no—
1390C2×C4—82no—
1391C2×C4—82no—
1392C2×C4—82no—
1393C2×C4—82no—
1394C2×C4C23×C4×C5912yes—
1395C2×C4C23×C4×C5912yes—
1396C2×C4C23×C4×C5912yes—
1397C2×C4C23×C4×C5912yes—
1398C2×C4C23×C4×C5912yes—
1399C2×C4C23×C4×C5912yes—
1400C2×C4C23×C4×C5912yes—
1401C2×C4C23×C4×C5912yes—
1402C2×C4C23×C4×C5912yes—
1403C2×C4C23×C4×C5912yes—
1404C2×C4C23×C4×C5912yes—
1405C2×C4H(5,𝔽2)×C5912yes—
1406C22—22no—
1407C22—22no—
1408C22—22no—
1409C22—22no—
1410C22—22no—
1411C22—22no—
1412C22—22no—
1413C22—22no—
1414C22—22no—
1415C22—22no—
1416C22—22no—
1417C22—22no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22C24×C4×C5911yescharacteristic
1435C22C2×H(5,𝔽2)×C5911yescharacteristic
1436C22C59×#58511yescharacteristic
1437C22C59×#58511yescharacteristic
1438C22C59×#58511yescharacteristic
1439C22C59×#58511yescharacteristic
1440C22C59×#58511yescharacteristic
1441C4—22no—
1442C4—22no—
1443C4—22no—
1444C4—22no—
1445C4—22no—
1446C4—22no—
1447C4—22no—
1448C4—22no—
1449C4—22no—
1450C4—22no—
1451C4—22no—
1452C4—22no—
1453C4—41no—
1454C4—41no—
1455C4—41no—
1456C4—41no—
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C2—42no—
1469C2—42no—
1470C2—42no—
1471C2—42no—
1472C2C59×#342811yescharacteristic
1473C2C59×#342811yescharacteristic
1474C2C4×H(5,𝔽2)×C5911yescharacteristic
1475C2C59×#356011yescharacteristic
1476C2C59×#356211yescharacteristic
1477C2C59×#356611yescharacteristic
1478C2C59×#356711yescharacteristic
subgroupG/H
center, socleC23×C59C25
commutatorC22C24×C4×C59
Frattini, cosocleC23C25×C59
prime radicalC2×C59×#553C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C59 ◁ G

Complements

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

NH ≅ G/Ntype
2. C59×#2382C2semidirect
3. C59×#2377C2semidirect
4. C59×#2377C2semidirect
5. C59×#2376C2semidirect
6. C59×#2373C2semidirect
7. C59×#2373C2semidirect
8. C59×#2364C2semidirect
9. C59×#2363C2semidirect
10. C59×#2359C2semidirect
11. C59×#2357C2semidirect
12. C59×#2353C2semidirect
13. C59×#2352C2semidirect
14. C59×#2352C2semidirect
15. C59×#2344C2semidirect
16. C59×#2343C2semidirect
17. C59×#2336C2semidirect
18. C59×#2335C2semidirect
19. C59×#2334C2semidirect
20. C59×#2333C2semidirect
21. C59×#2333C2semidirect
22. C59×#2333C2semidirect
23. C59×#2324C2semidirect
24. C59×#2322C2semidirect
25. C59×#2319C2semidirect
26. C59×#2318C2semidirect
27. C59×#2318C2semidirect
28. C59×#2313C2semidirect
29. C4×#126×C59C2semidirect
30. C59×#2298C2semidirect
31. C59×#2293C2semidirect
32. C59×#553C4semidirect
206. #126×C59C2×C4semidirect
207. #126×C59C2×C4semidirect
208. #125×C59C2×C4semidirect
209. #123×C59C2×C4semidirect
210. #123×C59C2×C4semidirect
212. #121×C59C2×C4semidirect
213. #121×C59C2×C4semidirect
214. #121×C59C2×C4semidirect
217. C4×D4×C59C2×C4semidirect
218. C4×D4×C59C2×C4semidirect
219. C4×D4×C59C2×C4semidirect
220. C4×D4×C59C2×C4semidirect
224. #117×C59C2×C4semidirect
226. C2×C4⋊C4×C59C2×C4semidirect
666. #34506C59direct (N × H)
730. #2382C2×C59semidirect
731. #2377C2×C59semidirect
732. #2377C2×C59semidirect
733. #2376C2×C59semidirect
734. #2373C2×C59semidirect
735. #2373C2×C59semidirect
736. #2364C2×C59semidirect
737. #2363C2×C59semidirect
738. #2359C2×C59semidirect
739. #2357C2×C59semidirect
740. #2353C2×C59semidirect
741. #2352C2×C59semidirect
742. #2352C2×C59semidirect
743. #2344C2×C59semidirect
744. #2343C2×C59semidirect
745. #2336C2×C59semidirect
746. #2335C2×C59semidirect
747. #2334C2×C59semidirect
748. #2333C2×C59semidirect
749. #2333C2×C59semidirect
750. #2333C2×C59semidirect
751. #2324C2×C59semidirect
752. #2322C2×C59semidirect
753. #2319C2×C59semidirect
754. #2318C2×C59semidirect
755. #2318C2×C59semidirect
756. #2313C2×C59semidirect
757. C4×#126C2×C59semidirect
758. #2298C2×C59semidirect
759. #2293C2×C59semidirect
771. #553C4×C59semidirect
927. C59#34506direct (N × H)
946. #126C2×C4×C59semidirect
947. #126C2×C4×C59semidirect
948. #125C2×C4×C59semidirect
949. #123C2×C4×C59semidirect
950. #123C2×C4×C59semidirect
952. #121C2×C4×C59semidirect
953. #121C2×C4×C59semidirect
954. #121C2×C4×C59semidirect
957. C4×D4C2×C4×C59semidirect
958. C4×D4C2×C4×C59semidirect
959. C4×D4C2×C4×C59semidirect
960. C4×D4C2×C4×C59semidirect
964. #117C2×C4×C59semidirect
966. C2×C4⋊C4C2×C4×C59semidirect

Maximal subgroups

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

subgroupindex
C2×C59×#5532
C59×#23822
C59×#23772
C59×#23762
C59×#23732
C59×#23642
C59×#23632
C59×#23592
C59×#23572
C59×#23532
C59×#23522
C59×#23442
C59×#23432
C59×#23362
C59×#23352
C59×#23342
C59×#23332
C59×#23242
C59×#23222
C59×#23192
C59×#23182
C59×#23132
C4×#126×C592
C59×#22982
C59×#22932
#3450659