Finite Group Databasebeta

← C59×#34442 #28446551

Subgroups — C59×#34442 #28446551

Order 15104.

2290 conjugacy classes of subgroups.

The subgroup lattice has 1564 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C59×#540C211yesmaximal, characteristic
2C59×#2380C211yesmaximal, characteristic, complemented
3C59×#2377C211yesmaximal, characteristic, complemented
4C59×#2377C211yesmaximal, characteristic, complemented
5C59×#2376C211yesmaximal, characteristic, complemented
6C59×#2374C211yesmaximal, characteristic, complemented
7C59×#2366C211yesmaximal, characteristic, complemented
8C59×#2364C211yesmaximal, characteristic, complemented
9C59×#2364C211yesmaximal, characteristic, complemented
10C59×#2363C211yesmaximal, characteristic, complemented
11C59×#2361C211yesmaximal, characteristic, complemented
12C59×#2359C211yesmaximal, characteristic, complemented
13C59×#2359C211yesmaximal, characteristic, complemented
14C59×#2353C211yesmaximal, characteristic, complemented
15C59×#2352C211yesmaximal, characteristic, complemented
16C59×#2347C211yesmaximal, characteristic, complemented
17C59×#2343C211yesmaximal, characteristic, complemented
18C59×#2336C211yesmaximal, characteristic, complemented
19C59×#2336C211yesmaximal, characteristic, complemented
20C59×#2335C211yesmaximal, characteristic, complemented
21C59×#2335C211yesmaximal, characteristic, complemented
22C59×#2333C211yesmaximal, characteristic, complemented
23C59×#2333C211yesmaximal, characteristic, complemented
24C59×#2325C211yesmaximal, characteristic, complemented
25C59×#2325C211yesmaximal, characteristic, complemented
26C59×#2324C211yesmaximal, characteristic, complemented
27C59×#2322C211yesmaximal, characteristic, complemented
28C59×#2318C211yesmaximal, characteristic, complemented
29C4×#123×C59C211yesmaximal, characteristic, complemented
30C4×#121×C59C211yesmaximal, characteristic, complemented
31C59×#2290C211yesmaximal, characteristic, complemented
32C59×#540C4116yescomplemented
33C2×#127×C59C2211yescharacteristic
34C2×#125×C59C2211yescharacteristic
35C2×#123×C59C2211yescharacteristic
36C2×#123×C59C2211yescharacteristic
37C2×#123×C59C2211yescharacteristic
38C2×#123×C59C2211yescharacteristic
39C2×#121×C59C2211yescharacteristic
40C2×#121×C59C2211yescharacteristic
41C2×#121×C59C2211yescharacteristic
42C2×#121×C59C2211yescharacteristic
43C2×#121×C59C2211yescharacteristic
44C2×#121×C59C2211yescharacteristic
45C2×C4×D4×C59C2211yescharacteristic
46C2×C4×D4×C59C2211yescharacteristic
47C2×C4×D4×C59C2211yescharacteristic
48C2×C4×D4×C59C2211yescharacteristic
49C2×C4×D4×C59C2211yescharacteristic
50C2×C4×D4×C59C2211yescharacteristic
51C2×C4×D4×C59C2211yescharacteristic
52C2×C4×D4×C59C2211yescharacteristic
53C2×C4×D4×C59C2211yescharacteristic
54C2×C4×D4×C59C2211yescharacteristic
55C2×#117×C59C2211yescharacteristic
56C2×#117×C59C2211yescharacteristic
57C2×#117×C59C2211yescharacteristic
58C22×C4⋊C4×C59C2211yescharacteristic
59C22×C42×C59C2211yescharacteristic
60C59×#390C2211yescharacteristic
61C59×#390C2211yescharacteristic
62C59×#390C2211yescharacteristic
63C59×#390C2211yescharacteristic
64C59×#390C2211yescharacteristic
65C59×#390C2211yescharacteristic
66C59×#390C2211yescharacteristic
67C59×#390C2211yescharacteristic
68C59×#389C2211yescharacteristic
69C59×#389C2211yescharacteristic
70C59×#389C2211yescharacteristic
71C59×#389C2211yescharacteristic
72C59×#389C2211yescharacteristic
73C59×#389C2211yescharacteristic
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×#388C2211yescharacteristic
93C59×#388C2211yescharacteristic
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×#386C2211yescharacteristic
115C59×#386C2211yescharacteristic
116C59×#386C2211yescharacteristic
117C59×#386C2211yescharacteristic
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×#386C2211yescharacteristic
133C59×#386C2211yescharacteristic
134C59×#386C2211yescharacteristic
135C59×#386C2211yescharacteristic
136C59×#386C2211yescharacteristic
137C59×#386C2211yescharacteristic
138C59×#385C2211yescharacteristic
139C59×#385C2211yescharacteristic
140C59×#385C2211yescharacteristic
141C59×#385C2211yescharacteristic
142C59×#385C2211yescharacteristic
143C59×#385C2211yescharacteristic
144C59×#385C2211yescharacteristic
145C59×#385C2211yescharacteristic
146C59×#385C2211yescharacteristic
147C59×#385C2211yescharacteristic
148C59×#383C2211yescharacteristic
149C59×#383C2211yescharacteristic
150C59×#383C2211yescharacteristic
151C59×#382C2211yescharacteristic
152C59×#381C2211yescharacteristic
153C59×#381C2211yescharacteristic
154C59×#381C2211yescharacteristic
155C59×#380C2211yescharacteristic
156C59×#380C2211yescharacteristic
157C59×#380C2211yescharacteristic
158C59×#380C2211yescharacteristic
159C59×#380C2211yescharacteristic
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×C4⋊C4×C59C2211yescharacteristic
168C4×C4⋊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
183C4×C22⋊C4×C59C2211yescharacteristic
184C59×#376C2211yescharacteristic
185C2×#95×C59C2211yescharacteristic
186C2×#95×C59C2211yescharacteristic
187C2×#95×C59C2211yescharacteristic
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
198C23×C4×C59C2311yescharacteristic
199C23×C4×C59C2311yescharacteristic
200C23×C4×C59C2311yescharacteristic
201C23×C4×C59C2311yescharacteristic
202C23×C4×C59C2311yescharacteristic
203C23×C4×C59C2311yescharacteristic
204C23×C4×C59C2311yescharacteristic
205C23×C4×C59C2311yescharacteristic
206C23×C4×C59C2311yescharacteristic
207C23×C4×C59C2311yescharacteristic
208C23×C4×C59C2311yescharacteristic
209C23×C4×C59C2311yescharacteristic
210C23×C4×C59C2311yescharacteristic
211C23×C4×C59C2311yescharacteristic
212C23×C4×C59C2311yescharacteristic
213#127×C59C2×C418yescomplemented
214#125×C59C2×C418yescomplemented
215#123×C59C2×C418yescomplemented
216#123×C59C2×C418yescomplemented
217#123×C59C2×C418yescomplemented
218#123×C59C2×C418yescomplemented
219#121×C59C2×C418yescomplemented
220#121×C59C2×C418yescomplemented
221#121×C59C2×C418yescomplemented
222#121×C59C2×C418yescomplemented
223#121×C59C2×C418yescomplemented
224#121×C59C2×C418yescomplemented
225C4×D4×C59—42no—
226C4×D4×C59—42no—
227C4×D4×C59—42no—
228C4×D4×C59—42no—
229C4×D4×C59—42no—
230C4×D4×C59—42no—
231C4×D4×C59—42no—
232C4×D4×C59—42no—
233C4×D4×C59C2×C418yescomplemented
234C4×D4×C59C2×C418yescomplemented
235#117×C59—42no—
236#117×C59—42no—
237#117×C59C2×C418yescomplemented
238C2×C4⋊C4×C59—42no—
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×C4⋊C4×C59C2311yescharacteristic
261C2×C4⋊C4×C59C2311yescharacteristic
262C2×C4⋊C4×C59C2311yescharacteristic
263C2×C4⋊C4×C59C2311yescharacteristic
264C2×C4⋊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×C42×C59—42no—
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
316C2×C42×C59C2311yescharacteristic
317C2×C42×C59C2311yescharacteristic
318C2×C42×C59C2311yescharacteristic
319C2×C42×C59C2311yescharacteristic
320C2×C42×C59C2311yescharacteristic
321C2×C42×C59C2311yescharacteristic
322C2×C42×C59C2311yescharacteristic
323C2×C42×C59C2311yescharacteristic
324C2×C42×C59C2311yescharacteristic
325C2×C42×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
364#95×C59C2311yescharacteristic
365#95×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369#95×C59C2311yescharacteristic
370C24×C59C2411yescharacteristic
371C24×C59C2411yescharacteristic
372C24×C59C2411yescharacteristic
373C24×C59C2411yescharacteristic
374C24×C59C2411yescharacteristic
375C2×D4×C59—41no—
376C2×D4×C59—41no—
377C2×D4×C59—41no—
378C2×D4×C59—41no—
379C2×D4×C59—41no—
380C2×D4×C59—41no—
381C2×D4×C59—41no—
382C2×D4×C59—41no—
383C2×D4×C59—41no—
384C2×D4×C59—41no—
385C2×D4×C59—41no—
386C2×D4×C59—41no—
387C2×D4×C59—41no—
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×C59C22×C414yes—
396C2×D4×C59C22×C414yes—
397C2×D4×C59C22×C414yes—
398C2×D4×C59C22×C414yes—
399C2×D4×C59C22×C414yes—
400C2×D4×C59C22×C414yes—
401C2×D4×C59C22×C414yes—
402C2×D4×C59C22×C414yes—
403C2×D4×C59C22×C414yes—
404C2×D4×C59C22×C414yes—
405C22×C4×C59—22no—
406C22×C4×C59—22no—
407C22×C4×C59—22no—
408C22×C4×C59—22no—
409C22×C4×C59—22no—
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×C59—41no—
417C22×C4×C59—41no—
418C22×C4×C59—41no—
419C22×C4×C59—41no—
420C22×C4×C59—41no—
421C22×C4×C59—41no—
422C22×C4×C59—41no—
423C22×C4×C59—41no—
424C22×C4×C59—41no—
425C22×C4×C59—41no—
426C22×C4×C59—41no—
427C22×C4×C59—41no—
428C22×C4×C59—41no—
429C22×C4×C59—41no—
430C22×C4×C59—41no—
431C22×C4×C59—41no—
432C22×C4×C59—41no—
433C22×C4×C59—41no—
434C22×C4×C59—41no—
435C22×C4×C59—41no—
436C22×C4×C59—41no—
437C22×C4×C59—41no—
438C22×C4×C59—41no—
439C22×C4×C59—41no—
440C22×C4×C59—41no—
441C22×C4×C59—41no—
442C22×C4×C59—41no—
443C22×C4×C59—41no—
444C22×C4×C59—41no—
445C22×C4×C59C22×C414yes—
446C22×C4×C59C22×C414yes—
447C22×C4×C59C22×C414yes—
448C22×C4×C59C22×C414yes—
449C22×C4×C59C22×C414yes—
450C22×C4×C59C2411yescharacteristic
451C22×C4×C59C2411yescharacteristic
452C22×C4×C59C2411yescharacteristic
453C22×C4×C59C2411yescharacteristic
454C22×C4×C59C2411yescharacteristic
455C22×C4×C59C2411yescharacteristic
456C22×C4×C59C2411yescharacteristic
457C22×C4×C59C2411yescharacteristic
458C22×C4×C59C2411yescharacteristic
459C22×C4×C59C2411yescharacteristic
460C22×C4×C59C2411yescharacteristic
461C22×C4×C59C2411yescharacteristic
462C22×C4×C59C2411yescharacteristic
463C22×C4×C59C2411yescharacteristic
464C22×C4×C59C2411yescharacteristic
465C22×C4×C59C2411yescharacteristic
466C22×C4×C59C2411yescharacteristic
467C22×C4×C59C2411yescharacteristic
468C22×C4×C59C2411yescharacteristic
469C22×C4×C59C2411yescharacteristic
470C22×C4×C59C2411yescharacteristic
471C22×C4×C59C2411yescharacteristic
472C22×C4×C59C2411yescharacteristic
473C22×C4×C59C2411yescharacteristic
474C22×C4×C59C2411yescharacteristic
475C22×C4×C59C2411yescharacteristic
476C4⋊C4×C59—22no—
477C4⋊C4×C59—22no—
478C4⋊C4×C59—22no—
479C4⋊C4×C59—22no—
480C4⋊C4×C59—22no—
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×C59C22×C414yes—
495C4⋊C4×C59C22×C414yes—
496C4⋊C4×C59C22×C414yes—
497C4⋊C4×C59C22×C414yes—
498C4⋊C4×C59C22×C414yes—
499C4⋊C4×C59C22×C414yes—
500C4⋊C4×C59C22×C414yes—
501C4⋊C4×C59C22×C414yes—
502C22⋊C4×C59—22no—
503C22⋊C4×C59—22no—
504C22⋊C4×C59—22no—
505C22⋊C4×C59—22no—
506C22⋊C4×C59—22no—
507C22⋊C4×C59—41no—
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×C59C22×C414yes—
533C22⋊C4×C59C22×C414yes—
534C22⋊C4×C59C22×C414yes—
535C22⋊C4×C59C22×C414yes—
536C22⋊C4×C59C22×C414yes—
537C22⋊C4×C59C22×C414yes—
538C22⋊C4×C59C22×C414yes—
539C22⋊C4×C59C22×C414yes—
540C22⋊C4×C59C22×C414yes—
541C22⋊C4×C59C22×C414yes—
542C42×C59—22no—
543C42×C59—22no—
544C42×C59—22no—
545C42×C59—41no—
546C42×C59—41no—
547C42×C59—41no—
548C42×C59—41no—
549C42×C59—41no—
550C42×C59—41no—
551C42×C59—41no—
552C42×C59—41no—
553C42×C59—41no—
554C42×C59—41no—
555C42×C59—41no—
556C42×C59—41no—
557C42×C59—41no—
558C42×C59—41no—
559C42×C59—41no—
560C42×C59C22×C414yes—
561C42×C59C22×C414yes—
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×C59C23×C412yes—
593C23×C59C23×C412yes—
594C23×C59C23×C412yes—
595C23×C59C23×C412yes—
596C23×C59C23×C412yes—
597C23×C59C2511yescharacteristic
598D4×C59—44no—
599D4×C59—44no—
600D4×C59—44no—
601D4×C59—44no—
602D4×C59—44no—
603D4×C59—44no—
604D4×C59—44no—
605D4×C59—44no—
606D4×C59—44no—
607D4×C59—44no—
608C2×C4×C59—21no—
609C2×C4×C59—21no—
610C2×C4×C59—21no—
611C2×C4×C59—21no—
612C2×C4×C59—21no—
613C2×C4×C59—21no—
614C2×C4×C59—21no—
615C2×C4×C59—21no—
616C2×C4×C59—21no—
617C2×C4×C59—21no—
618C2×C4×C59—21no—
619C2×C4×C59—21no—
620C2×C4×C59—21no—
621C2×C4×C59—21no—
622C2×C4×C59—21no—
623C2×C4×C59—21no—
624C2×C4×C59—21no—
625C2×C4×C59—21no—
626C2×C4×C59—21no—
627C2×C4×C59—21no—
628C2×C4×C59—21no—
629C2×C4×C59—21no—
630C2×C4×C59—21no—
631C2×C4×C59—21no—
632C2×C4×C59—21no—
633C2×C4×C59—21no—
634C2×C4×C59—21no—
635C2×C4×C59—21no—
636C2×C4×C59—21no—
637C2×C4×C59—21no—
638C2×C4×C59—21no—
639C2×C4×C59—21no—
640C2×C4×C59—21no—
641C2×C4×C59—21no—
642C2×C4×C59—21no—
643C2×C4×C59—21no—
644C2×C4×C59—21no—
645C2×C4×C59—21no—
646C2×C4×C59—21no—
647C2×C4×C59—21no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—21no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59—21no—
665C2×C4×C59—21no—
666C2×C4×C59—21no—
667C2×C4×C59—21no—
668C2×C4×C59—21no—
669C2×C4×C59—21no—
670C2×C4×C59—21no—
671C2×C4×C59—21no—
672C2×C4×C59—21no—
673C2×C4×C59—21no—
674C2×C4×C59—44no—
675C2×C4×C59—44no—
676C2×C4×C59—44no—
677C2×C4×C59—44no—
678C2×C4×C59—44no—
679C2×C4×C59—44no—
680C2×C4×C59—44no—
681C2×C4×C59—82no—
682C2×C4×C59—82no—
683C2×C4×C59—82no—
684C2×C4×C59—82no—
685C2×C4×C59—82no—
686C2×C4×C59—82no—
687C2×C4×C59—82no—
688C2×C4×C59—82no—
689C2×C4×C59C23×C412yes—
690C2×C4×C59C23×C412yes—
691C2×C4×C59C23×C412yes—
692C2×C4×C59C23×C412yes—
693C2×C4×C59C23×C412yes—
694C2×C4×C59C23×C412yes—
695C2×C4×C59C23×C412yes—
696C2×C4×C59C23×C412yes—
697C2×C4×C59C23×C412yes—
698C2×C4×C59C23×C412yes—
699C2×C4×C59H(5,𝔽2)12yes—
700C2×C4×C59H(5,𝔽2)12yes—
701#34442C5911yesmaximal, characteristic, direct product factor, Sylow
702C22×C59—22no—
703C22×C59—22no—
704C22×C59—22no—
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—22no—
715C22×C59—22no—
716C22×C59—22no—
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×C59C24×C411yescharacteristic
738C22×C59C2×H(5,𝔽2)11yescharacteristic
739C22×C59C2×H(5,𝔽2)11yescharacteristic
740C22×C59#58511yescharacteristic
741C22×C59#58511yescharacteristic
742C22×C59#58511yescharacteristic
743C22×C59#58511yescharacteristic
744C4×C59—22no—
745C4×C59—22no—
746C4×C59—22no—
747C4×C59—22no—
748C4×C59—22no—
749C4×C59—22no—
750C4×C59—22no—
751C4×C59—22no—
752C4×C59—22no—
753C4×C59—22no—
754C4×C59—22no—
755C4×C59—22no—
756C4×C59—41no—
757C4×C59—41no—
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—
770C2×#540C2×C5911yescharacteristic
771#2380C2×C5911yescharacteristic, complemented
772#2377C2×C5911yescharacteristic, complemented
773#2377C2×C5911yescharacteristic, complemented
774#2376C2×C5911yescharacteristic, complemented
775#2374C2×C5911yescharacteristic, complemented
776#2366C2×C5911yescharacteristic, complemented
777#2364C2×C5911yescharacteristic, complemented
778#2364C2×C5911yescharacteristic, complemented
779#2363C2×C5911yescharacteristic, complemented
780#2361C2×C5911yescharacteristic, complemented
781#2359C2×C5911yescharacteristic, complemented
782#2359C2×C5911yescharacteristic, complemented
783#2353C2×C5911yescharacteristic, complemented
784#2352C2×C5911yescharacteristic, complemented
785#2347C2×C5911yescharacteristic, complemented
786#2343C2×C5911yescharacteristic, complemented
787#2336C2×C5911yescharacteristic, complemented
788#2336C2×C5911yescharacteristic, complemented
789#2335C2×C5911yescharacteristic, complemented
790#2335C2×C5911yescharacteristic, complemented
791#2333C2×C5911yescharacteristic, complemented
792#2333C2×C5911yescharacteristic, complemented
793#2325C2×C5911yescharacteristic, complemented
794#2325C2×C5911yescharacteristic, complemented
795#2324C2×C5911yescharacteristic, complemented
796#2322C2×C5911yescharacteristic, complemented
797#2318C2×C5911yescharacteristic, complemented
798C4×#123C2×C5911yescharacteristic, complemented
799C4×#121C2×C5911yescharacteristic, complemented
800#2290C2×C5911yescharacteristic, complemented
801C2×C59—42no—
802C2×C59—42no—
803C2×C59—42no—
804C2×C59—42no—
805C2×C59—42no—
806C2×C59#342811yescharacteristic
807C2×C59C4×H(5,𝔽2)11yescharacteristic
808C2×C59C4×H(5,𝔽2)11yescharacteristic
809C2×C59#353411yescharacteristic
810C2×C59#353911yescharacteristic
811C2×C59#356211yescharacteristic
812C2×C59#356611yescharacteristic
813#540C4×C59116yescomplemented
814C2×#127C22×C5911yescharacteristic
815C2×#125C22×C5911yescharacteristic
816C2×#123C22×C5911yescharacteristic
817C2×#123C22×C5911yescharacteristic
818C2×#123C22×C5911yescharacteristic
819C2×#123C22×C5911yescharacteristic
820C2×#121C22×C5911yescharacteristic
821C2×#121C22×C5911yescharacteristic
822C2×#121C22×C5911yescharacteristic
823C2×#121C22×C5911yescharacteristic
824C2×#121C22×C5911yescharacteristic
825C2×#121C22×C5911yescharacteristic
826C2×C4×D4C22×C5911yescharacteristic
827C2×C4×D4C22×C5911yescharacteristic
828C2×C4×D4C22×C5911yescharacteristic
829C2×C4×D4C22×C5911yescharacteristic
830C2×C4×D4C22×C5911yescharacteristic
831C2×C4×D4C22×C5911yescharacteristic
832C2×C4×D4C22×C5911yescharacteristic
833C2×C4×D4C22×C5911yescharacteristic
834C2×C4×D4C22×C5911yescharacteristic
835C2×C4×D4C22×C5911yescharacteristic
836C2×#117C22×C5911yescharacteristic
837C2×#117C22×C5911yescharacteristic
838C2×#117C22×C5911yescharacteristic
839C22×C4⋊C4C22×C5911yescharacteristic
840C22×C42C22×C5911yescharacteristic
841#390C22×C5911yescharacteristic
842#390C22×C5911yescharacteristic
843#390C22×C5911yescharacteristic
844#390C22×C5911yescharacteristic
845#390C22×C5911yescharacteristic
846#390C22×C5911yescharacteristic
847#390C22×C5911yescharacteristic
848#390C22×C5911yescharacteristic
849#389C22×C5911yescharacteristic
850#389C22×C5911yescharacteristic
851#389C22×C5911yescharacteristic
852#389C22×C5911yescharacteristic
853#389C22×C5911yescharacteristic
854#389C22×C5911yescharacteristic
855#388C22×C5911yescharacteristic
856#388C22×C5911yescharacteristic
857#388C22×C5911yescharacteristic
858#388C22×C5911yescharacteristic
859#388C22×C5911yescharacteristic
860#388C22×C5911yescharacteristic
861#388C22×C5911yescharacteristic
862#388C22×C5911yescharacteristic
863#388C22×C5911yescharacteristic
864#388C22×C5911yescharacteristic
865#388C22×C5911yescharacteristic
866#388C22×C5911yescharacteristic
867#388C22×C5911yescharacteristic
868#388C22×C5911yescharacteristic
869#388C22×C5911yescharacteristic
870#388C22×C5911yescharacteristic
871#388C22×C5911yescharacteristic
872#388C22×C5911yescharacteristic
873#388C22×C5911yescharacteristic
874#388C22×C5911yescharacteristic
875#387C22×C5911yescharacteristic
876#387C22×C5911yescharacteristic
877#387C22×C5911yescharacteristic
878#387C22×C5911yescharacteristic
879#387C22×C5911yescharacteristic
880#387C22×C5911yescharacteristic
881#387C22×C5911yescharacteristic
882#387C22×C5911yescharacteristic
883#387C22×C5911yescharacteristic
884#387C22×C5911yescharacteristic
885#387C22×C5911yescharacteristic
886#387C22×C5911yescharacteristic
887#387C22×C5911yescharacteristic
888#387C22×C5911yescharacteristic
889#387C22×C5911yescharacteristic
890#387C22×C5911yescharacteristic
891#387C22×C5911yescharacteristic
892#387C22×C5911yescharacteristic
893#387C22×C5911yescharacteristic
894#387C22×C5911yescharacteristic
895#386C22×C5911yescharacteristic
896#386C22×C5911yescharacteristic
897#386C22×C5911yescharacteristic
898#386C22×C5911yescharacteristic
899#386C22×C5911yescharacteristic
900#386C22×C5911yescharacteristic
901#386C22×C5911yescharacteristic
902#386C22×C5911yescharacteristic
903#386C22×C5911yescharacteristic
904#386C22×C5911yescharacteristic
905#386C22×C5911yescharacteristic
906#386C22×C5911yescharacteristic
907#386C22×C5911yescharacteristic
908#386C22×C5911yescharacteristic
909#386C22×C5911yescharacteristic
910#386C22×C5911yescharacteristic
911#386C22×C5911yescharacteristic
912#386C22×C5911yescharacteristic
913#386C22×C5911yescharacteristic
914#386C22×C5911yescharacteristic
915#386C22×C5911yescharacteristic
916#386C22×C5911yescharacteristic
917#386C22×C5911yescharacteristic
918#386C22×C5911yescharacteristic
919#385C22×C5911yescharacteristic
920#385C22×C5911yescharacteristic
921#385C22×C5911yescharacteristic
922#385C22×C5911yescharacteristic
923#385C22×C5911yescharacteristic
924#385C22×C5911yescharacteristic
925#385C22×C5911yescharacteristic
926#385C22×C5911yescharacteristic
927#385C22×C5911yescharacteristic
928#385C22×C5911yescharacteristic
929#383C22×C5911yescharacteristic
930#383C22×C5911yescharacteristic
931#383C22×C5911yescharacteristic
932#382C22×C5911yescharacteristic
933#381C22×C5911yescharacteristic
934#381C22×C5911yescharacteristic
935#381C22×C5911yescharacteristic
936#380C22×C5911yescharacteristic
937#380C22×C5911yescharacteristic
938#380C22×C5911yescharacteristic
939#380C22×C5911yescharacteristic
940#380C22×C5911yescharacteristic
941C4×C4⋊C4C22×C5911yescharacteristic
942C4×C4⋊C4C22×C5911yescharacteristic
943C4×C4⋊C4C22×C5911yescharacteristic
944C4×C4⋊C4C22×C5911yescharacteristic
945C4×C4⋊C4C22×C5911yescharacteristic
946C4×C4⋊C4C22×C5911yescharacteristic
947C4×C4⋊C4C22×C5911yescharacteristic
948C4×C4⋊C4C22×C5911yescharacteristic
949C4×C4⋊C4C22×C5911yescharacteristic
950C4×C22⋊C4C22×C5911yescharacteristic
951C4×C22⋊C4C22×C5911yescharacteristic
952C4×C22⋊C4C22×C5911yescharacteristic
953C4×C22⋊C4C22×C5911yescharacteristic
954C4×C22⋊C4C22×C5911yescharacteristic
955C4×C22⋊C4C22×C5911yescharacteristic
956C4×C22⋊C4C22×C5911yescharacteristic
957C4×C22⋊C4C22×C5911yescharacteristic
958C4×C22⋊C4C22×C5911yescharacteristic
959C4×C22⋊C4C22×C5911yescharacteristic
960C4×C22⋊C4C22×C5911yescharacteristic
961C4×C22⋊C4C22×C5911yescharacteristic
962C4×C22⋊C4C22×C5911yescharacteristic
963C4×C22⋊C4C22×C5911yescharacteristic
964C4×C22⋊C4C22×C5911yescharacteristic
965#376C22×C5911yescharacteristic
966C2×#95C22×C5911yescharacteristic
967C2×#95C22×C5911yescharacteristic
968C2×#95C22×C5911yescharacteristic
969C59#3444211yescharacteristic, direct product factor, Sylow
970C22×D4C23×C5911yescharacteristic
971C22×D4C23×C5911yescharacteristic
972C22×D4C23×C5911yescharacteristic
973C22×D4C23×C5911yescharacteristic
974C22×D4C23×C5911yescharacteristic
975C22×D4C23×C5911yescharacteristic
976C22×D4C23×C5911yescharacteristic
977C22×D4C23×C5911yescharacteristic
978C22×D4C23×C5911yescharacteristic
979C22×D4C23×C5911yescharacteristic
980C23×C4C23×C5911yescharacteristic
981C23×C4C23×C5911yescharacteristic
982C23×C4C23×C5911yescharacteristic
983C23×C4C23×C5911yescharacteristic
984C23×C4C23×C5911yescharacteristic
985C23×C4C23×C5911yescharacteristic
986C23×C4C23×C5911yescharacteristic
987C23×C4C23×C5911yescharacteristic
988C23×C4C23×C5911yescharacteristic
989C23×C4C23×C5911yescharacteristic
990C23×C4C23×C5911yescharacteristic
991C23×C4C23×C5911yescharacteristic
992C23×C4C23×C5911yescharacteristic
993C23×C4C23×C5911yescharacteristic
994C23×C4C23×C5911yescharacteristic
995#127C2×C4×C5918yescomplemented
996#125C2×C4×C5918yescomplemented
997#123C2×C4×C5918yescomplemented
998#123C2×C4×C5918yescomplemented
999#123C2×C4×C5918yescomplemented
1000#123C2×C4×C5918yescomplemented
1001#121C2×C4×C5918yescomplemented
1002#121C2×C4×C5918yescomplemented
1003#121C2×C4×C5918yescomplemented
1004#121C2×C4×C5918yescomplemented
1005#121C2×C4×C5918yescomplemented
1006#121C2×C4×C5918yescomplemented
1007C4×D4—42no—
1008C4×D4—42no—
1009C4×D4—42no—
1010C4×D4—42no—
1011C4×D4—42no—
1012C4×D4—42no—
1013C4×D4—42no—
1014C4×D4—42no—
1015C4×D4C2×C4×C5918yescomplemented
1016C4×D4C2×C4×C5918yescomplemented
1017#117—42no—
1018#117—42no—
1019#117C2×C4×C5918yescomplemented
1020C2×C4⋊C4—42no—
1021C2×C4⋊C4C23×C5911yescharacteristic
1022C2×C4⋊C4C23×C5911yescharacteristic
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×C22⋊C4C23×C5911yescharacteristic
1048C2×C22⋊C4C23×C5911yescharacteristic
1049C2×C22⋊C4C23×C5911yescharacteristic
1050C2×C22⋊C4C23×C5911yescharacteristic
1051C2×C22⋊C4C23×C5911yescharacteristic
1052C2×C22⋊C4C23×C5911yescharacteristic
1053C2×C22⋊C4C23×C5911yescharacteristic
1054C2×C22⋊C4C23×C5911yescharacteristic
1055C2×C22⋊C4C23×C5911yescharacteristic
1056C2×C22⋊C4C23×C5911yescharacteristic
1057C2×C22⋊C4C23×C5911yescharacteristic
1058C2×C22⋊C4C23×C5911yescharacteristic
1059C2×C22⋊C4C23×C5911yescharacteristic
1060C2×C22⋊C4C23×C5911yescharacteristic
1061C2×C22⋊C4C23×C5911yescharacteristic
1062C2×C22⋊C4C23×C5911yescharacteristic
1063C2×C22⋊C4C23×C5911yescharacteristic
1064C2×C22⋊C4C23×C5911yescharacteristic
1065C2×C22⋊C4C23×C5911yescharacteristic
1066C2×C22⋊C4C23×C5911yescharacteristic
1067C2×C22⋊C4C23×C5911yescharacteristic
1068C2×C22⋊C4C23×C5911yescharacteristic
1069C2×C22⋊C4C23×C5911yescharacteristic
1070C2×C22⋊C4C23×C5911yescharacteristic
1071C2×C22⋊C4C23×C5911yescharacteristic
1072C2×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×C42—42no—
1088C2×C42C23×C5911yescharacteristic
1089C2×C42C23×C5911yescharacteristic
1090C2×C42C23×C5911yescharacteristic
1091C2×C42C23×C5911yescharacteristic
1092C2×C42C23×C5911yescharacteristic
1093C2×C42C23×C5911yescharacteristic
1094C2×C42C23×C5911yescharacteristic
1095C2×C42C23×C5911yescharacteristic
1096C2×C42C23×C5911yescharacteristic
1097C2×C42C23×C5911yescharacteristic
1098C2×C42C23×C5911yescharacteristic
1099C2×C42C23×C5911yescharacteristic
1100C2×C42C23×C5911yescharacteristic
1101C2×C42C23×C5911yescharacteristic
1102C2×C42C23×C5911yescharacteristic
1103C2×C42C23×C5911yescharacteristic
1104C2×C42C23×C5911yescharacteristic
1105C2×C42C23×C5911yescharacteristic
1106C2×C42C23×C5911yescharacteristic
1107C2×C42C23×C5911yescharacteristic
1108#95C23×C5911yescharacteristic
1109#95C23×C5911yescharacteristic
1110#95C23×C5911yescharacteristic
1111#95C23×C5911yescharacteristic
1112#95C23×C5911yescharacteristic
1113#95C23×C5911yescharacteristic
1114#95C23×C5911yescharacteristic
1115#95C23×C5911yescharacteristic
1116#95C23×C5911yescharacteristic
1117#95C23×C5911yescharacteristic
1118#95C23×C5911yescharacteristic
1119#95C23×C5911yescharacteristic
1120#95C23×C5911yescharacteristic
1121#95C23×C5911yescharacteristic
1122#95C23×C5911yescharacteristic
1123#95C23×C5911yescharacteristic
1124#95C23×C5911yescharacteristic
1125#95C23×C5911yescharacteristic
1126#95C23×C5911yescharacteristic
1127#95C23×C5911yescharacteristic
1128#95C23×C5911yescharacteristic
1129#95C23×C5911yescharacteristic
1130#95C23×C5911yescharacteristic
1131#95C23×C5911yescharacteristic
1132#95C23×C5911yescharacteristic
1133#95C23×C5911yescharacteristic
1134#95C23×C5911yescharacteristic
1135#95C23×C5911yescharacteristic
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
1152C24C24×C5911yescharacteristic
1153C24C24×C5911yescharacteristic
1154C24C24×C5911yescharacteristic
1155C24C24×C5911yescharacteristic
1156C24C24×C5911yescharacteristic
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4—41no—
1167C2×D4—41no—
1168C2×D4—41no—
1169C2×D4—41no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4C22×C4×C5914yes—
1178C2×D4C22×C4×C5914yes—
1179C2×D4C22×C4×C5914yes—
1180C2×D4C22×C4×C5914yes—
1181C2×D4C22×C4×C5914yes—
1182C2×D4C22×C4×C5914yes—
1183C2×D4C22×C4×C5914yes—
1184C2×D4C22×C4×C5914yes—
1185C2×D4C22×C4×C5914yes—
1186C2×D4C22×C4×C5914yes—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
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×C4C22×C4×C5914yes—
1228C22×C4C22×C4×C5914yes—
1229C22×C4C22×C4×C5914yes—
1230C22×C4C22×C4×C5914yes—
1231C22×C4C22×C4×C5914yes—
1232C22×C4C24×C5911yescharacteristic
1233C22×C4C24×C5911yescharacteristic
1234C22×C4C24×C5911yescharacteristic
1235C22×C4C24×C5911yescharacteristic
1236C22×C4C24×C5911yescharacteristic
1237C22×C4C24×C5911yescharacteristic
1238C22×C4C24×C5911yescharacteristic
1239C22×C4C24×C5911yescharacteristic
1240C22×C4C24×C5911yescharacteristic
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—41no—
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⋊C4C22×C4×C5914yes—
1277C4⋊C4C22×C4×C5914yes—
1278C4⋊C4C22×C4×C5914yes—
1279C4⋊C4C22×C4×C5914yes—
1280C4⋊C4C22×C4×C5914yes—
1281C4⋊C4C22×C4×C5914yes—
1282C4⋊C4C22×C4×C5914yes—
1283C4⋊C4C22×C4×C5914yes—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4C22×C4×C5914yes—
1315C22⋊C4C22×C4×C5914yes—
1316C22⋊C4C22×C4×C5914yes—
1317C22⋊C4C22×C4×C5914yes—
1318C22⋊C4C22×C4×C5914yes—
1319C22⋊C4C22×C4×C5914yes—
1320C22⋊C4C22×C4×C5914yes—
1321C22⋊C4C22×C4×C5914yes—
1322C22⋊C4C22×C4×C5914yes—
1323C22⋊C4C22×C4×C5914yes—
1324C42—22no—
1325C42—22no—
1326C42—22no—
1327C42—41no—
1328C42—41no—
1329C42—41no—
1330C42—41no—
1331C42—41no—
1332C42—41no—
1333C42—41no—
1334C42—41no—
1335C42—41no—
1336C42—41no—
1337C42—41no—
1338C42—41no—
1339C42—41no—
1340C42—41no—
1341C42—41no—
1342C42C22×C4×C5914yes—
1343C42C22×C4×C5914yes—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
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—
1374C23C23×C4×C5912yes—
1375C23C23×C4×C5912yes—
1376C23C23×C4×C5912yes—
1377C23C23×C4×C5912yes—
1378C23C23×C4×C5912yes—
1379C23C25×C5911yescharacteristic
1380D4—44no—
1381D4—44no—
1382D4—44no—
1383D4—44no—
1384D4—44no—
1385D4—44no—
1386D4—44no—
1387D4—44no—
1388D4—44no—
1389D4—44no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—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—44no—
1457C2×C4—44no—
1458C2×C4—44no—
1459C2×C4—44no—
1460C2×C4—44no—
1461C2×C4—44no—
1462C2×C4—44no—
1463C2×C4—82no—
1464C2×C4—82no—
1465C2×C4—82no—
1466C2×C4—82no—
1467C2×C4—82no—
1468C2×C4—82no—
1469C2×C4—82no—
1470C2×C4—82no—
1471C2×C4C23×C4×C5912yes—
1472C2×C4C23×C4×C5912yes—
1473C2×C4C23×C4×C5912yes—
1474C2×C4C23×C4×C5912yes—
1475C2×C4C23×C4×C5912yes—
1476C2×C4C23×C4×C5912yes—
1477C2×C4C23×C4×C5912yes—
1478C2×C4C23×C4×C5912yes—
1479C2×C4C23×C4×C5912yes—
1480C2×C4C23×C4×C5912yes—
1481C2×C4H(5,𝔽2)×C5912yes—
1482C2×C4H(5,𝔽2)×C5912yes—
1483C22—22no—
1484C22—22no—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22C24×C4×C5911yescharacteristic
1519C22C2×H(5,𝔽2)×C5911yescharacteristic
1520C22C2×H(5,𝔽2)×C5911yescharacteristic
1521C22C59×#58511yescharacteristic
1522C22C59×#58511yescharacteristic
1523C22C59×#58511yescharacteristic
1524C22C59×#58511yescharacteristic
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—22no—
1529C4—22no—
1530C4—22no—
1531C4—22no—
1532C4—22no—
1533C4—22no—
1534C4—22no—
1535C4—22no—
1536C4—22no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C2—42no—
1552C2—42no—
1553C2—42no—
1554C2—42no—
1555C2—42no—
1556C2C59×#342811yescharacteristic
1557C2C4×H(5,𝔽2)×C5911yescharacteristic
1558C2C4×H(5,𝔽2)×C5911yescharacteristic
1559C2C59×#353411yescharacteristic
1560C2C59×#353911yescharacteristic
1561C2C59×#356211yescharacteristic
1562C2C59×#356611yescharacteristic
subgroupG/H
center, socleC23×C59C25
commutatorC22C24×C4×C59
Frattini, cosocleC23C25×C59
prime radicalC2×C59×#540C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C59 ◁ G

Complements

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

NH ≅ G/Ntype
2. C59×#2380C2semidirect
3. C59×#2377C2semidirect
4. C59×#2377C2semidirect
5. C59×#2376C2semidirect
6. C59×#2374C2semidirect
7. C59×#2366C2semidirect
8. C59×#2364C2semidirect
9. C59×#2364C2semidirect
10. C59×#2363C2semidirect
11. C59×#2361C2semidirect
12. C59×#2359C2semidirect
13. C59×#2359C2semidirect
14. C59×#2353C2semidirect
15. C59×#2352C2semidirect
16. C59×#2347C2semidirect
17. C59×#2343C2semidirect
18. C59×#2336C2semidirect
19. C59×#2336C2semidirect
20. C59×#2335C2semidirect
21. C59×#2335C2semidirect
22. C59×#2333C2semidirect
23. C59×#2333C2semidirect
24. C59×#2325C2semidirect
25. C59×#2325C2semidirect
26. C59×#2324C2semidirect
27. C59×#2322C2semidirect
28. C59×#2318C2semidirect
29. C4×#123×C59C2semidirect
30. C4×#121×C59C2semidirect
31. C59×#2290C2semidirect
32. C59×#540C4semidirect
213. #127×C59C2×C4semidirect
214. #125×C59C2×C4semidirect
215. #123×C59C2×C4semidirect
216. #123×C59C2×C4semidirect
217. #123×C59C2×C4semidirect
218. #123×C59C2×C4semidirect
219. #121×C59C2×C4semidirect
220. #121×C59C2×C4semidirect
221. #121×C59C2×C4semidirect
222. #121×C59C2×C4semidirect
223. #121×C59C2×C4semidirect
224. #121×C59C2×C4semidirect
233. C4×D4×C59C2×C4semidirect
234. C4×D4×C59C2×C4semidirect
237. #117×C59C2×C4semidirect
701. #34442C59direct (N × H)
771. #2380C2×C59semidirect
772. #2377C2×C59semidirect
773. #2377C2×C59semidirect
774. #2376C2×C59semidirect
775. #2374C2×C59semidirect
776. #2366C2×C59semidirect
777. #2364C2×C59semidirect
778. #2364C2×C59semidirect
779. #2363C2×C59semidirect
780. #2361C2×C59semidirect
781. #2359C2×C59semidirect
782. #2359C2×C59semidirect
783. #2353C2×C59semidirect
784. #2352C2×C59semidirect
785. #2347C2×C59semidirect
786. #2343C2×C59semidirect
787. #2336C2×C59semidirect
788. #2336C2×C59semidirect
789. #2335C2×C59semidirect
790. #2335C2×C59semidirect
791. #2333C2×C59semidirect
792. #2333C2×C59semidirect
793. #2325C2×C59semidirect
794. #2325C2×C59semidirect
795. #2324C2×C59semidirect
796. #2322C2×C59semidirect
797. #2318C2×C59semidirect
798. C4×#123C2×C59semidirect
799. C4×#121C2×C59semidirect
800. #2290C2×C59semidirect
813. #540C4×C59semidirect
969. C59#34442direct (N × H)
995. #127C2×C4×C59semidirect
996. #125C2×C4×C59semidirect
997. #123C2×C4×C59semidirect
998. #123C2×C4×C59semidirect
999. #123C2×C4×C59semidirect
1000. #123C2×C4×C59semidirect
1001. #121C2×C4×C59semidirect
1002. #121C2×C4×C59semidirect
1003. #121C2×C4×C59semidirect
1004. #121C2×C4×C59semidirect
1005. #121C2×C4×C59semidirect
1006. #121C2×C4×C59semidirect
1015. C4×D4C2×C4×C59semidirect
1016. C4×D4C2×C4×C59semidirect
1019. #117C2×C4×C59semidirect

Maximal subgroups

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

subgroupindex
C2×C59×#5402
C59×#23802
C59×#23772
C59×#23762
C59×#23742
C59×#23662
C59×#23642
C59×#23632
C59×#23612
C59×#23592
C59×#23532
C59×#23522
C59×#23472
C59×#23432
C59×#23362
C59×#23352
C59×#23332
C59×#23252
C59×#23242
C59×#23222
C59×#23182
C4×#123×C592
C4×#121×C592
C59×#22902
#3444259