Finite Group Databasebeta

← C59×#34505 #28446614

Subgroups — C59×#34505 #28446614

Order 15104.

1932 conjugacy classes of subgroups.

The subgroup lattice has 1352 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C59×#556C211yesmaximal, characteristic
2C59×#2383C211yesmaximal, characteristic, complemented
3C59×#2381C211yesmaximal, characteristic, complemented
4C59×#2379C211yesmaximal, characteristic
5C59×#2378C211yesmaximal, characteristic, complemented
6C59×#2373C211yesmaximal, characteristic, complemented
7C59×#2373C211yesmaximal, characteristic, complemented
8C59×#2373C211yesmaximal, characteristic, complemented
9C59×#2372C211yesmaximal, characteristic
10C59×#2368C211yesmaximal, characteristic, complemented
11C59×#2356C211yesmaximal, characteristic, complemented
12C59×#2356C211yesmaximal, characteristic, complemented
13C59×#2355C211yesmaximal, characteristic, complemented
14C59×#2353C211yesmaximal, characteristic
15C59×#2343C211yesmaximal, characteristic, complemented
16C59×#2343C211yesmaximal, characteristic, complemented
17C59×#2337C211yesmaximal, characteristic
18C59×#2337C211yesmaximal, characteristic
19C59×#2334C211yesmaximal, characteristic, complemented
20C59×#2334C211yesmaximal, characteristic, complemented
21C59×#2334C211yesmaximal, characteristic, complemented
22C59×#2332C211yesmaximal, characteristic, complemented
23C59×#2331C211yesmaximal, characteristic, complemented
24C59×#2329C211yesmaximal, characteristic, complemented
25C59×#2320C211yesmaximal, characteristic, complemented
26C59×#2320C211yesmaximal, characteristic, complemented
27C59×#2318C211yesmaximal, characteristic
28C59×#2314C211yesmaximal, characteristic, complemented
29C4×#126×C59C211yesmaximal, characteristic, complemented
30C59×#2298C211yesmaximal, characteristic, complemented
31C59×#2295C211yesmaximal, characteristic, complemented
32C59×#556C4116yescomplemented
33C2×C4⋊Q8×C59C2211yescharacteristic
34C2×#126×C59C2211yescharacteristic
35C2×#126×C59C2211yescharacteristic
36C2×#126×C59C2211yescharacteristic
37C2×#126×C59C2211yescharacteristic
38C2×#124×C59C2211yescharacteristic
39C2×#124×C59C2211yescharacteristic
40C2×C22⋊Q8×C59C2211yescharacteristic
41C2×C22⋊Q8×C59C2211yescharacteristic
42C2×C4×Q8×C59C2211yescharacteristic
43C2×C4×Q8×C59C2211yescharacteristic
44C2×C4×Q8×C59C2211yescharacteristic
45C2×C4×D4×C59C2211yescharacteristic
46C2×#117×C59C2211yescharacteristic
47C2×#117×C59C2211yescharacteristic
48C59×#391C2211yescharacteristic
49C59×#391C2211yescharacteristic
50C59×#391C2211yescharacteristic
51C59×#391C2211yescharacteristic
52C59×#391C2211yescharacteristic
53C59×#391C2211yescharacteristic
54C59×#391C2211yescharacteristic
55C59×#391C2211yescharacteristic
56C59×#391C2211yescharacteristic
57C59×#391C2211yescharacteristic
58C59×#391C2211yescharacteristic
59C59×#391C2211yescharacteristic
60C59×#389C2211yescharacteristic
61C59×#389C2211yescharacteristic
62C59×#389C2211yescharacteristic
63C59×#389C2211yescharacteristic
64C59×#389C2211yescharacteristic
65C59×#389C2211yescharacteristic
66C59×#389C2211yescharacteristic
67C59×#389C2211yescharacteristic
68C59×#388C2211yescharacteristic
69C59×#388C2211yescharacteristic
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×#387C2211yescharacteristic
89C59×#387C2211yescharacteristic
90C59×#387C2211yescharacteristic
91C59×#387C2211yescharacteristic
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×#387C2211yescharacteristic
119C59×#387C2211yescharacteristic
120C59×#386C2211yescharacteristic
121C59×#386C2211yescharacteristic
122C59×#386C2211yescharacteristic
123C59×#386C2211yescharacteristic
124C59×#385C2211yescharacteristic
125C59×#385C2211yescharacteristic
126C59×#385C2211yescharacteristic
127C59×#385C2211yescharacteristic
128C59×#385C2211yescharacteristic
129C59×#385C2211yescharacteristic
130C59×#385C2211yescharacteristic
131C59×#385C2211yescharacteristic
132C59×#385C2211yescharacteristic
133C59×#385C2211yescharacteristic
134C59×#384C2211yescharacteristic
135C59×#383C2211yescharacteristic
136C59×#383C2211yescharacteristic
137C59×#383C2211yescharacteristic
138C59×#383C2211yescharacteristic
139C59×#383C2211yescharacteristic
140C59×#383C2211yescharacteristic
141C59×#382C2211yescharacteristic
142C59×#382C2211yescharacteristic
143C59×#382C2211yescharacteristic
144C59×#382C2211yescharacteristic
145C59×#382C2211yescharacteristic
146C59×#382C2211yescharacteristic
147C59×#381C2211yescharacteristic
148C59×#381C2211yescharacteristic
149C59×#380C2211yescharacteristic
150C59×#380C2211yescharacteristic
151C4×C4⋊C4×C59C2211yescharacteristic
152C4×C4⋊C4×C59C2211yescharacteristic
153C4×C4⋊C4×C59C2211yescharacteristic
154C4×C4⋊C4×C59C2211yescharacteristic
155C4×C4⋊C4×C59C2211yescharacteristic
156C4×C4⋊C4×C59C2211yescharacteristic
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
179C59×#376C2211yescharacteristic
180C59×#376C2211yescharacteristic
181C59×#376C2211yescharacteristic
182C59×#376C2211yescharacteristic
183C59×#376C2211yescharacteristic
184C59×#376C2211yescharacteristic
185C2×#95×C59C2211yescharacteristic
186C2×#95×C59C2211yescharacteristic
187C43×C59C2211yescharacteristic
188C22×Q8×C59C2311yescharacteristic
189C22×Q8×C59C2311yescharacteristic
190C22×Q8×C59C2311yescharacteristic
191C22×D4×C59C2311yescharacteristic
192C23×C4×C59C2311yescharacteristic
193C23×C4×C59C2311yescharacteristic
194C23×C4×C59C2311yescharacteristic
195C23×C4×C59C2311yescharacteristic
196C23×C4×C59C2311yescharacteristic
197C23×C4×C59C2311yescharacteristic
198C4⋊Q8×C59C2×C418yescomplemented
199#126×C59C2×C418yescomplemented
200#126×C59C2×C418yescomplemented
201#126×C59C2×C418yescomplemented
202#126×C59C2×C418yescomplemented
203#124×C59C2×C418yes—
204#124×C59C2×C418yes—
205C22⋊Q8×C59C2×C418yescomplemented
206C22⋊Q8×C59C2×C418yescomplemented
207C4×Q8×C59C2×C418yescomplemented
208C4×Q8×C59C2×C418yescomplemented
209C4×Q8×C59C2×C418yescomplemented
210C4×D4×C59C2×C418yes—
211#117×C59C2×C418yescomplemented
212#117×C59C2×C418yescomplemented
213C2×C4⋊C4×C59C2311yescharacteristic
214C2×C4⋊C4×C59C2311yescharacteristic
215C2×C4⋊C4×C59C2311yescharacteristic
216C2×C4⋊C4×C59C2311yescharacteristic
217C2×C4⋊C4×C59C2311yescharacteristic
218C2×C4⋊C4×C59C2311yescharacteristic
219C2×C4⋊C4×C59C2311yescharacteristic
220C2×C4⋊C4×C59C2311yescharacteristic
221C2×C4⋊C4×C59C2311yescharacteristic
222C2×C4⋊C4×C59C2311yescharacteristic
223C2×C4⋊C4×C59C2311yescharacteristic
224C2×C4⋊C4×C59C2311yescharacteristic
225C2×C4⋊C4×C59C2311yescharacteristic
226C2×C4⋊C4×C59C2311yescharacteristic
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×C22⋊C4×C59C2311yescharacteristic
248C2×C22⋊C4×C59C2311yescharacteristic
249C2×C22⋊C4×C59C2311yescharacteristic
250C2×C22⋊C4×C59C2311yescharacteristic
251C2×C22⋊C4×C59C2311yescharacteristic
252C2×C22⋊C4×C59C2311yescharacteristic
253C2×C22⋊C4×C59C2311yescharacteristic
254C2×C22⋊C4×C59C2311yescharacteristic
255C2×C22⋊C4×C59C2311yescharacteristic
256C2×C22⋊C4×C59C2311yescharacteristic
257C2×C22⋊C4×C59C2311yescharacteristic
258C2×C22⋊C4×C59C2311yescharacteristic
259C2×C22⋊C4×C59C2311yescharacteristic
260C2×C22⋊C4×C59C2311yescharacteristic
261C2×C22⋊C4×C59C2311yescharacteristic
262C2×C22⋊C4×C59C2311yescharacteristic
263C2×C22⋊C4×C59C2311yescharacteristic
264C2×C22⋊C4×C59C2311yescharacteristic
265C2×C22⋊C4×C59C2311yescharacteristic
266C2×C22⋊C4×C59C2311yescharacteristic
267C2×C22⋊C4×C59C2311yescharacteristic
268C2×C22⋊C4×C59C2311yescharacteristic
269C2×C42×C59C2311yescharacteristic
270C2×C42×C59C2311yescharacteristic
271C2×C42×C59C2311yescharacteristic
272C2×C42×C59C2311yescharacteristic
273C2×C42×C59C2311yescharacteristic
274C2×C42×C59C2311yescharacteristic
275C2×C42×C59C2311yescharacteristic
276C2×C42×C59C2311yescharacteristic
277C2×C42×C59C2311yescharacteristic
278C2×C42×C59C2311yescharacteristic
279C2×C42×C59C2311yescharacteristic
280C2×C42×C59C2311yescharacteristic
281C2×C42×C59C2311yescharacteristic
282C2×C42×C59C2311yescharacteristic
283C2×C42×C59C2311yescharacteristic
284C2×C42×C59C2311yescharacteristic
285C2×C42×C59C2311yescharacteristic
286C2×C42×C59C2311yescharacteristic
287C2×C42×C59C2311yescharacteristic
288C2×C42×C59C2311yescharacteristic
289C2×C42×C59C2311yescharacteristic
290C2×C42×C59C2311yescharacteristic
291C2×C42×C59C2311yescharacteristic
292C2×C42×C59C2311yescharacteristic
293C2×C42×C59C2311yescharacteristic
294C2×C42×C59C2311yescharacteristic
295C2×C42×C59C2311yescharacteristic
296C2×C42×C59C2311yescharacteristic
297C2×C42×C59C2311yescharacteristic
298#95×C59C2311yescharacteristic
299#95×C59C2311yescharacteristic
300#95×C59C2311yescharacteristic
301#95×C59C2311yescharacteristic
302#95×C59C2311yescharacteristic
303#95×C59C2311yescharacteristic
304#95×C59C2311yescharacteristic
305#95×C59C2311yescharacteristic
306#95×C59C2311yescharacteristic
307#95×C59C2311yescharacteristic
308#95×C59C2311yescharacteristic
309#95×C59C2311yescharacteristic
310#95×C59C2311yescharacteristic
311#95×C59C2311yescharacteristic
312#95×C59C2311yescharacteristic
313#95×C59C2311yescharacteristic
314#95×C59C2311yescharacteristic
315#95×C59C2311yescharacteristic
316#95×C59C2311yescharacteristic
317#95×C59C2311yescharacteristic
318#95×C59C2311yescharacteristic
319#95×C59C2311yescharacteristic
320#95×C59C2311yescharacteristic
321#95×C59C2311yescharacteristic
322#95×C59C2311yescharacteristic
323#95×C59C2311yescharacteristic
324#95×C59C2311yescharacteristic
325#95×C59C2311yescharacteristic
326#95×C59C2311yescharacteristic
327#95×C59C2311yescharacteristic
328#95×C59C2311yescharacteristic
329#95×C59C2311yescharacteristic
330#95×C59C2311yescharacteristic
331#95×C59C2311yescharacteristic
332#95×C59C2311yescharacteristic
333#95×C59C2311yescharacteristic
334#95×C59C2311yescharacteristic
335#95×C59C2311yescharacteristic
336#95×C59C2311yescharacteristic
337#95×C59C2311yescharacteristic
338#95×C59C2311yescharacteristic
339#95×C59C2311yescharacteristic
340#95×C59C2311yescharacteristic
341#95×C59C2311yescharacteristic
342#95×C59C2311yescharacteristic
343#95×C59C2311yescharacteristic
344#95×C59C2311yescharacteristic
345#95×C59C2311yescharacteristic
346#95×C59C2311yescharacteristic
347#95×C59C2311yescharacteristic
348#95×C59C2311yescharacteristic
349#95×C59C2311yescharacteristic
350#95×C59C2311yescharacteristic
351#95×C59C2311yescharacteristic
352#95×C59C2311yescharacteristic
353#95×C59C2311yescharacteristic
354#95×C59C2311yescharacteristic
355#95×C59C2311yescharacteristic
356#95×C59C2311yescharacteristic
357#95×C59C2311yescharacteristic
358C24×C59C2411yescharacteristic
359C24×C59C2411yescharacteristic
360C2×Q8×C59—41no—
361C2×Q8×C59—41no—
362C2×Q8×C59—41no—
363C2×Q8×C59—41no—
364C2×Q8×C59—41no—
365C2×Q8×C59—41no—
366C2×Q8×C59C22×C414yes—
367C2×Q8×C59C22×C414yes—
368C2×Q8×C59C22×C414yes—
369C2×D4×C59—41no—
370C2×D4×C59—41no—
371C2×D4×C59C22×C414yes—
372C22×C4×C59—22no—
373C22×C4×C59—41no—
374C22×C4×C59—41no—
375C22×C4×C59—41no—
376C22×C4×C59—41no—
377C22×C4×C59—41no—
378C22×C4×C59—41no—
379C22×C4×C59—41no—
380C22×C4×C59—41no—
381C22×C4×C59—41no—
382C22×C4×C59—41no—
383C22×C4×C59—41no—
384C22×C4×C59—41no—
385C22×C4×C59—41no—
386C22×C4×C59—41no—
387C22×C4×C59—41no—
388C22×C4×C59C22×C414yes—
389C22×C4×C59C22×C414yes—
390C22×C4×C59C2411yescharacteristic
391C22×C4×C59C2411yescharacteristic
392C22×C4×C59C2411yescharacteristic
393C22×C4×C59C2411yescharacteristic
394C22×C4×C59C2411yescharacteristic
395C22×C4×C59C2411yescharacteristic
396C22×C4×C59C2411yescharacteristic
397C22×C4×C59C2411yescharacteristic
398C22×C4×C59C2411yescharacteristic
399C22×C4×C59C2411yescharacteristic
400C22×C4×C59C2411yescharacteristic
401C22×C4×C59C2411yescharacteristic
402C22×C4×C59C2411yescharacteristic
403C22×C4×C59C2411yescharacteristic
404C22×C4×C59C2411yescharacteristic
405C22×C4×C59C2411yescharacteristic
406C22×C4×C59C2411yescharacteristic
407C22×C4×C59C2411yescharacteristic
408C22×C4×C59C2411yescharacteristic
409C22×C4×C59C2411yescharacteristic
410C22×C4×C59C2411yescharacteristic
411C22×C4×C59C2411yescharacteristic
412C22×C4×C59C2411yescharacteristic
413C22×C4×C59C2411yescharacteristic
414C22×C4×C59C2411yescharacteristic
415C22×C4×C59C2411yescharacteristic
416C22×C4×C59C2411yescharacteristic
417C22×C4×C59C2411yescharacteristic
418C22×C4×C59C2411yescharacteristic
419C4⋊C4×C59—22no—
420C4⋊C4×C59—41no—
421C4⋊C4×C59—41no—
422C4⋊C4×C59—41no—
423C4⋊C4×C59—41no—
424C4⋊C4×C59—41no—
425C4⋊C4×C59—41no—
426C4⋊C4×C59—41no—
427C4⋊C4×C59—41no—
428C4⋊C4×C59—41no—
429C4⋊C4×C59—41no—
430C4⋊C4×C59—41no—
431C4⋊C4×C59—41no—
432C4⋊C4×C59—41no—
433C4⋊C4×C59—41no—
434C4⋊C4×C59—41no—
435C4⋊C4×C59—41no—
436C4⋊C4×C59—41no—
437C4⋊C4×C59—41no—
438C4⋊C4×C59—41no—
439C4⋊C4×C59—41no—
440C4⋊C4×C59—41no—
441C4⋊C4×C59C22×C414yes—
442C4⋊C4×C59C22×C414yes—
443C4⋊C4×C59C22×C414yes—
444C4⋊C4×C59C22×C414yes—
445C4⋊C4×C59C22×C414yes—
446C4⋊C4×C59C22×C414yes—
447C4⋊C4×C59C22×C414yes—
448C4⋊C4×C59C22×C414yes—
449C4⋊C4×C59C22×C414yes—
450C4⋊C4×C59C22×C414yes—
451C4⋊C4×C59C22×C414yes—
452C4⋊C4×C59C22×C414yes—
453C22⋊C4×C59—22no—
454C22⋊C4×C59—41no—
455C22⋊C4×C59—41no—
456C22⋊C4×C59—41no—
457C22⋊C4×C59—41no—
458C22⋊C4×C59—41no—
459C22⋊C4×C59—41no—
460C22⋊C4×C59—41no—
461C22⋊C4×C59—41no—
462C22⋊C4×C59—41no—
463C22⋊C4×C59—41no—
464C22⋊C4×C59—41no—
465C22⋊C4×C59C22×C414yes—
466C22⋊C4×C59C22×C414yes—
467C22⋊C4×C59C22×C414yes—
468C22⋊C4×C59C22×C414yes—
469C22⋊C4×C59C22×C414yes—
470C22⋊C4×C59C22×C414yes—
471C22⋊C4×C59C22×C414yes—
472C22⋊C4×C59C22×C414yes—
473C22⋊C4×C59C22×C414yes—
474C22⋊C4×C59C22×C414yes—
475C42×C59—22no—
476C42×C59—22no—
477C42×C59—41no—
478C42×C59—41no—
479C42×C59—41no—
480C42×C59—41no—
481C42×C59—41no—
482C42×C59—41no—
483C42×C59—41no—
484C42×C59—41no—
485C42×C59—41no—
486C42×C59—41no—
487C42×C59—41no—
488C42×C59—41no—
489C42×C59—41no—
490C42×C59—41no—
491C42×C59—41no—
492C42×C59—41no—
493C42×C59—41no—
494C42×C59—41no—
495C42×C59—41no—
496C42×C59—41no—
497C42×C59C22×C414yes—
498C42×C59C22×C414yes—
499C42×C59C22×C414yes—
500C42×C59C22×C414yes—
501C42×C59C22×C414yes—
502C42×C59C22×C414yes—
503C42×C59C22×C414yes—
504C23×C59—21no—
505C23×C59—21no—
506C23×C59—21no—
507C23×C59—21no—
508C23×C59—21no—
509C23×C59—21no—
510C23×C59—21no—
511C23×C59—21no—
512C23×C59—21no—
513C23×C59—21no—
514C23×C59—21no—
515C23×C59—21no—
516C23×C59C23×C412yes—
517C23×C59C23×C412yes—
518C23×C59C2511yescharacteristic
519Q8×C59—44no—
520Q8×C59—44no—
521Q8×C59—44no—
522D4×C59—44no—
523C2×C4×C59—21no—
524C2×C4×C59—21no—
525C2×C4×C59—21no—
526C2×C4×C59—21no—
527C2×C4×C59—21no—
528C2×C4×C59—21no—
529C2×C4×C59—21no—
530C2×C4×C59—21no—
531C2×C4×C59—21no—
532C2×C4×C59—21no—
533C2×C4×C59—21no—
534C2×C4×C59—21no—
535C2×C4×C59—21no—
536C2×C4×C59—21no—
537C2×C4×C59—21no—
538C2×C4×C59—21no—
539C2×C4×C59—21no—
540C2×C4×C59—21no—
541C2×C4×C59—21no—
542C2×C4×C59—21no—
543C2×C4×C59—21no—
544C2×C4×C59—21no—
545C2×C4×C59—21no—
546C2×C4×C59—21no—
547C2×C4×C59—21no—
548C2×C4×C59—21no—
549C2×C4×C59—21no—
550C2×C4×C59—21no—
551C2×C4×C59—21no—
552C2×C4×C59—21no—
553C2×C4×C59—21no—
554C2×C4×C59—21no—
555C2×C4×C59—21no—
556C2×C4×C59—21no—
557C2×C4×C59—21no—
558C2×C4×C59—21no—
559C2×C4×C59—21no—
560C2×C4×C59—21no—
561C2×C4×C59—21no—
562C2×C4×C59—21no—
563C2×C4×C59—21no—
564C2×C4×C59—21no—
565C2×C4×C59—21no—
566C2×C4×C59—21no—
567C2×C4×C59—21no—
568C2×C4×C59—21no—
569C2×C4×C59—21no—
570C2×C4×C59—21no—
571C2×C4×C59—21no—
572C2×C4×C59—21no—
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—44no—
597C2×C4×C59—44no—
598C2×C4×C59—82no—
599C2×C4×C59—82no—
600C2×C4×C59—82no—
601C2×C4×C59—82no—
602C2×C4×C59C23×C412yes—
603C2×C4×C59C23×C412yes—
604C2×C4×C59C23×C412yes—
605C2×C4×C59C23×C412yes—
606C2×C4×C59C23×C412yes—
607C2×C4×C59C23×C412yes—
608C2×C4×C59C23×C412yes—
609C2×C4×C59C23×C412yes—
610C2×C4×C59C23×C412yes—
611C2×C4×C59C23×C412yes—
612C2×C4×C59C23×C412yes—
613C2×C4×C59C23×C412yes—
614C2×C4×C59C23×C412yes—
615C2×C4×C592−1+412yes—
616#34505C5911yesmaximal, characteristic, direct product factor, Sylow
617C22×C59—22no—
618C22×C59—22no—
619C22×C59—22no—
620C22×C59—22no—
621C22×C59—22no—
622C22×C59—22no—
623C22×C59—41no—
624C22×C59—41no—
625C22×C59—41no—
626C22×C59—41no—
627C22×C59—41no—
628C22×C59—41no—
629C22×C59—41no—
630C22×C59—41no—
631C22×C59C24×C411yescharacteristic
632C22×C59C2×2−1+411yescharacteristic
633C22×C59#58511yescharacteristic
634C22×C59#58511yescharacteristic
635C22×C59#58511yescharacteristic
636C22×C59#58511yescharacteristic
637C22×C59#58511yescharacteristic
638C4×C59—22no—
639C4×C59—22no—
640C4×C59—22no—
641C4×C59—22no—
642C4×C59—22no—
643C4×C59—22no—
644C4×C59—22no—
645C4×C59—22no—
646C4×C59—22no—
647C4×C59—22no—
648C4×C59—22no—
649C4×C59—22no—
650C4×C59—22no—
651C4×C59—22no—
652C4×C59—41no—
653C4×C59—41no—
654C4×C59—41no—
655C4×C59—41no—
656C4×C59—41no—
657C4×C59—41no—
658C4×C59—41no—
659C4×C59—41no—
660C4×C59—41no—
661C4×C59—41no—
662C4×C59—41no—
663C4×C59—41no—
664C4×C59—41no—
665C4×C59—41no—
666C4×C59—41no—
667C2×#556C2×C5911yescharacteristic
668#2383C2×C5911yescharacteristic, complemented
669#2381C2×C5911yescharacteristic, complemented
670#2379C2×C5911yescharacteristic
671#2378C2×C5911yescharacteristic, complemented
672#2373C2×C5911yescharacteristic, complemented
673#2373C2×C5911yescharacteristic, complemented
674#2373C2×C5911yescharacteristic, complemented
675#2372C2×C5911yescharacteristic
676#2368C2×C5911yescharacteristic, complemented
677#2356C2×C5911yescharacteristic, complemented
678#2356C2×C5911yescharacteristic, complemented
679#2355C2×C5911yescharacteristic, complemented
680#2353C2×C5911yescharacteristic
681#2343C2×C5911yescharacteristic, complemented
682#2343C2×C5911yescharacteristic, complemented
683#2337C2×C5911yescharacteristic
684#2337C2×C5911yescharacteristic
685#2334C2×C5911yescharacteristic, complemented
686#2334C2×C5911yescharacteristic, complemented
687#2334C2×C5911yescharacteristic, complemented
688#2332C2×C5911yescharacteristic, complemented
689#2331C2×C5911yescharacteristic, complemented
690#2329C2×C5911yescharacteristic, complemented
691#2320C2×C5911yescharacteristic, complemented
692#2320C2×C5911yescharacteristic, complemented
693#2318C2×C5911yescharacteristic
694#2314C2×C5911yescharacteristic, complemented
695C4×#126C2×C5911yescharacteristic, complemented
696#2298C2×C5911yescharacteristic, complemented
697#2295C2×C5911yescharacteristic, complemented
698C2×C59—42no—
699C2×C59—42no—
700C2×C59#342811yescharacteristic
701C2×C59#342811yescharacteristic
702C2×C59C4×2−1+411yescharacteristic
703C2×C59#356411yescharacteristic
704C2×C59#356511yescharacteristic
705C2×C59#356611yescharacteristic
706C2×C59#356811yescharacteristic
707#556C4×C59116yescomplemented
708C2×C4⋊Q8C22×C5911yescharacteristic
709C2×#126C22×C5911yescharacteristic
710C2×#126C22×C5911yescharacteristic
711C2×#126C22×C5911yescharacteristic
712C2×#126C22×C5911yescharacteristic
713C2×#124C22×C5911yescharacteristic
714C2×#124C22×C5911yescharacteristic
715C2×C22⋊Q8C22×C5911yescharacteristic
716C2×C22⋊Q8C22×C5911yescharacteristic
717C2×C4×Q8C22×C5911yescharacteristic
718C2×C4×Q8C22×C5911yescharacteristic
719C2×C4×Q8C22×C5911yescharacteristic
720C2×C4×D4C22×C5911yescharacteristic
721C2×#117C22×C5911yescharacteristic
722C2×#117C22×C5911yescharacteristic
723#391C22×C5911yescharacteristic
724#391C22×C5911yescharacteristic
725#391C22×C5911yescharacteristic
726#391C22×C5911yescharacteristic
727#391C22×C5911yescharacteristic
728#391C22×C5911yescharacteristic
729#391C22×C5911yescharacteristic
730#391C22×C5911yescharacteristic
731#391C22×C5911yescharacteristic
732#391C22×C5911yescharacteristic
733#391C22×C5911yescharacteristic
734#391C22×C5911yescharacteristic
735#389C22×C5911yescharacteristic
736#389C22×C5911yescharacteristic
737#389C22×C5911yescharacteristic
738#389C22×C5911yescharacteristic
739#389C22×C5911yescharacteristic
740#389C22×C5911yescharacteristic
741#389C22×C5911yescharacteristic
742#389C22×C5911yescharacteristic
743#388C22×C5911yescharacteristic
744#388C22×C5911yescharacteristic
745#388C22×C5911yescharacteristic
746#388C22×C5911yescharacteristic
747#388C22×C5911yescharacteristic
748#388C22×C5911yescharacteristic
749#388C22×C5911yescharacteristic
750#388C22×C5911yescharacteristic
751#388C22×C5911yescharacteristic
752#388C22×C5911yescharacteristic
753#388C22×C5911yescharacteristic
754#388C22×C5911yescharacteristic
755#388C22×C5911yescharacteristic
756#388C22×C5911yescharacteristic
757#388C22×C5911yescharacteristic
758#388C22×C5911yescharacteristic
759#388C22×C5911yescharacteristic
760#388C22×C5911yescharacteristic
761#388C22×C5911yescharacteristic
762#388C22×C5911yescharacteristic
763#387C22×C5911yescharacteristic
764#387C22×C5911yescharacteristic
765#387C22×C5911yescharacteristic
766#387C22×C5911yescharacteristic
767#387C22×C5911yescharacteristic
768#387C22×C5911yescharacteristic
769#387C22×C5911yescharacteristic
770#387C22×C5911yescharacteristic
771#387C22×C5911yescharacteristic
772#387C22×C5911yescharacteristic
773#387C22×C5911yescharacteristic
774#387C22×C5911yescharacteristic
775#387C22×C5911yescharacteristic
776#387C22×C5911yescharacteristic
777#387C22×C5911yescharacteristic
778#387C22×C5911yescharacteristic
779#387C22×C5911yescharacteristic
780#387C22×C5911yescharacteristic
781#387C22×C5911yescharacteristic
782#387C22×C5911yescharacteristic
783#387C22×C5911yescharacteristic
784#387C22×C5911yescharacteristic
785#387C22×C5911yescharacteristic
786#387C22×C5911yescharacteristic
787#387C22×C5911yescharacteristic
788#387C22×C5911yescharacteristic
789#387C22×C5911yescharacteristic
790#387C22×C5911yescharacteristic
791#387C22×C5911yescharacteristic
792#387C22×C5911yescharacteristic
793#387C22×C5911yescharacteristic
794#387C22×C5911yescharacteristic
795#386C22×C5911yescharacteristic
796#386C22×C5911yescharacteristic
797#386C22×C5911yescharacteristic
798#386C22×C5911yescharacteristic
799#385C22×C5911yescharacteristic
800#385C22×C5911yescharacteristic
801#385C22×C5911yescharacteristic
802#385C22×C5911yescharacteristic
803#385C22×C5911yescharacteristic
804#385C22×C5911yescharacteristic
805#385C22×C5911yescharacteristic
806#385C22×C5911yescharacteristic
807#385C22×C5911yescharacteristic
808#385C22×C5911yescharacteristic
809#384C22×C5911yescharacteristic
810#383C22×C5911yescharacteristic
811#383C22×C5911yescharacteristic
812#383C22×C5911yescharacteristic
813#383C22×C5911yescharacteristic
814#383C22×C5911yescharacteristic
815#383C22×C5911yescharacteristic
816#382C22×C5911yescharacteristic
817#382C22×C5911yescharacteristic
818#382C22×C5911yescharacteristic
819#382C22×C5911yescharacteristic
820#382C22×C5911yescharacteristic
821#382C22×C5911yescharacteristic
822#381C22×C5911yescharacteristic
823#381C22×C5911yescharacteristic
824#380C22×C5911yescharacteristic
825#380C22×C5911yescharacteristic
826C4×C4⋊C4C22×C5911yescharacteristic
827C4×C4⋊C4C22×C5911yescharacteristic
828C4×C4⋊C4C22×C5911yescharacteristic
829C4×C4⋊C4C22×C5911yescharacteristic
830C4×C4⋊C4C22×C5911yescharacteristic
831C4×C4⋊C4C22×C5911yescharacteristic
832C4×C4⋊C4C22×C5911yescharacteristic
833C4×C4⋊C4C22×C5911yescharacteristic
834C4×C4⋊C4C22×C5911yescharacteristic
835C4×C4⋊C4C22×C5911yescharacteristic
836C4×C4⋊C4C22×C5911yescharacteristic
837C4×C4⋊C4C22×C5911yescharacteristic
838C4×C4⋊C4C22×C5911yescharacteristic
839C4×C4⋊C4C22×C5911yescharacteristic
840C4×C4⋊C4C22×C5911yescharacteristic
841C4×C4⋊C4C22×C5911yescharacteristic
842C4×C22⋊C4C22×C5911yescharacteristic
843C4×C22⋊C4C22×C5911yescharacteristic
844C4×C22⋊C4C22×C5911yescharacteristic
845C4×C22⋊C4C22×C5911yescharacteristic
846C4×C22⋊C4C22×C5911yescharacteristic
847C4×C22⋊C4C22×C5911yescharacteristic
848C4×C22⋊C4C22×C5911yescharacteristic
849C4×C22⋊C4C22×C5911yescharacteristic
850C4×C22⋊C4C22×C5911yescharacteristic
851C4×C22⋊C4C22×C5911yescharacteristic
852C4×C22⋊C4C22×C5911yescharacteristic
853C4×C22⋊C4C22×C5911yescharacteristic
854#376C22×C5911yescharacteristic
855#376C22×C5911yescharacteristic
856#376C22×C5911yescharacteristic
857#376C22×C5911yescharacteristic
858#376C22×C5911yescharacteristic
859#376C22×C5911yescharacteristic
860C2×#95C22×C5911yescharacteristic
861C2×#95C22×C5911yescharacteristic
862C43C22×C5911yescharacteristic
863C59#3450511yescharacteristic, direct product factor, Sylow
864C22×Q8C23×C5911yescharacteristic
865C22×Q8C23×C5911yescharacteristic
866C22×Q8C23×C5911yescharacteristic
867C22×D4C23×C5911yescharacteristic
868C23×C4C23×C5911yescharacteristic
869C23×C4C23×C5911yescharacteristic
870C23×C4C23×C5911yescharacteristic
871C23×C4C23×C5911yescharacteristic
872C23×C4C23×C5911yescharacteristic
873C23×C4C23×C5911yescharacteristic
874C4⋊Q8C2×C4×C5918yescomplemented
875#126C2×C4×C5918yescomplemented
876#126C2×C4×C5918yescomplemented
877#126C2×C4×C5918yescomplemented
878#126C2×C4×C5918yescomplemented
879#124C2×C4×C5918yes—
880#124C2×C4×C5918yes—
881C22⋊Q8C2×C4×C5918yescomplemented
882C22⋊Q8C2×C4×C5918yescomplemented
883C4×Q8C2×C4×C5918yescomplemented
884C4×Q8C2×C4×C5918yescomplemented
885C4×Q8C2×C4×C5918yescomplemented
886C4×D4C2×C4×C5918yes—
887#117C2×C4×C5918yescomplemented
888#117C2×C4×C5918yescomplemented
889C2×C4⋊C4C23×C5911yescharacteristic
890C2×C4⋊C4C23×C5911yescharacteristic
891C2×C4⋊C4C23×C5911yescharacteristic
892C2×C4⋊C4C23×C5911yescharacteristic
893C2×C4⋊C4C23×C5911yescharacteristic
894C2×C4⋊C4C23×C5911yescharacteristic
895C2×C4⋊C4C23×C5911yescharacteristic
896C2×C4⋊C4C23×C5911yescharacteristic
897C2×C4⋊C4C23×C5911yescharacteristic
898C2×C4⋊C4C23×C5911yescharacteristic
899C2×C4⋊C4C23×C5911yescharacteristic
900C2×C4⋊C4C23×C5911yescharacteristic
901C2×C4⋊C4C23×C5911yescharacteristic
902C2×C4⋊C4C23×C5911yescharacteristic
903C2×C4⋊C4C23×C5911yescharacteristic
904C2×C4⋊C4C23×C5911yescharacteristic
905C2×C4⋊C4C23×C5911yescharacteristic
906C2×C4⋊C4C23×C5911yescharacteristic
907C2×C4⋊C4C23×C5911yescharacteristic
908C2×C4⋊C4C23×C5911yescharacteristic
909C2×C4⋊C4C23×C5911yescharacteristic
910C2×C4⋊C4C23×C5911yescharacteristic
911C2×C4⋊C4C23×C5911yescharacteristic
912C2×C4⋊C4C23×C5911yescharacteristic
913C2×C4⋊C4C23×C5911yescharacteristic
914C2×C4⋊C4C23×C5911yescharacteristic
915C2×C4⋊C4C23×C5911yescharacteristic
916C2×C4⋊C4C23×C5911yescharacteristic
917C2×C4⋊C4C23×C5911yescharacteristic
918C2×C4⋊C4C23×C5911yescharacteristic
919C2×C4⋊C4C23×C5911yescharacteristic
920C2×C4⋊C4C23×C5911yescharacteristic
921C2×C4⋊C4C23×C5911yescharacteristic
922C2×C4⋊C4C23×C5911yescharacteristic
923C2×C22⋊C4C23×C5911yescharacteristic
924C2×C22⋊C4C23×C5911yescharacteristic
925C2×C22⋊C4C23×C5911yescharacteristic
926C2×C22⋊C4C23×C5911yescharacteristic
927C2×C22⋊C4C23×C5911yescharacteristic
928C2×C22⋊C4C23×C5911yescharacteristic
929C2×C22⋊C4C23×C5911yescharacteristic
930C2×C22⋊C4C23×C5911yescharacteristic
931C2×C22⋊C4C23×C5911yescharacteristic
932C2×C22⋊C4C23×C5911yescharacteristic
933C2×C22⋊C4C23×C5911yescharacteristic
934C2×C22⋊C4C23×C5911yescharacteristic
935C2×C22⋊C4C23×C5911yescharacteristic
936C2×C22⋊C4C23×C5911yescharacteristic
937C2×C22⋊C4C23×C5911yescharacteristic
938C2×C22⋊C4C23×C5911yescharacteristic
939C2×C22⋊C4C23×C5911yescharacteristic
940C2×C22⋊C4C23×C5911yescharacteristic
941C2×C22⋊C4C23×C5911yescharacteristic
942C2×C22⋊C4C23×C5911yescharacteristic
943C2×C22⋊C4C23×C5911yescharacteristic
944C2×C22⋊C4C23×C5911yescharacteristic
945C2×C42C23×C5911yescharacteristic
946C2×C42C23×C5911yescharacteristic
947C2×C42C23×C5911yescharacteristic
948C2×C42C23×C5911yescharacteristic
949C2×C42C23×C5911yescharacteristic
950C2×C42C23×C5911yescharacteristic
951C2×C42C23×C5911yescharacteristic
952C2×C42C23×C5911yescharacteristic
953C2×C42C23×C5911yescharacteristic
954C2×C42C23×C5911yescharacteristic
955C2×C42C23×C5911yescharacteristic
956C2×C42C23×C5911yescharacteristic
957C2×C42C23×C5911yescharacteristic
958C2×C42C23×C5911yescharacteristic
959C2×C42C23×C5911yescharacteristic
960C2×C42C23×C5911yescharacteristic
961C2×C42C23×C5911yescharacteristic
962C2×C42C23×C5911yescharacteristic
963C2×C42C23×C5911yescharacteristic
964C2×C42C23×C5911yescharacteristic
965C2×C42C23×C5911yescharacteristic
966C2×C42C23×C5911yescharacteristic
967C2×C42C23×C5911yescharacteristic
968C2×C42C23×C5911yescharacteristic
969C2×C42C23×C5911yescharacteristic
970C2×C42C23×C5911yescharacteristic
971C2×C42C23×C5911yescharacteristic
972C2×C42C23×C5911yescharacteristic
973C2×C42C23×C5911yescharacteristic
974#95C23×C5911yescharacteristic
975#95C23×C5911yescharacteristic
976#95C23×C5911yescharacteristic
977#95C23×C5911yescharacteristic
978#95C23×C5911yescharacteristic
979#95C23×C5911yescharacteristic
980#95C23×C5911yescharacteristic
981#95C23×C5911yescharacteristic
982#95C23×C5911yescharacteristic
983#95C23×C5911yescharacteristic
984#95C23×C5911yescharacteristic
985#95C23×C5911yescharacteristic
986#95C23×C5911yescharacteristic
987#95C23×C5911yescharacteristic
988#95C23×C5911yescharacteristic
989#95C23×C5911yescharacteristic
990#95C23×C5911yescharacteristic
991#95C23×C5911yescharacteristic
992#95C23×C5911yescharacteristic
993#95C23×C5911yescharacteristic
994#95C23×C5911yescharacteristic
995#95C23×C5911yescharacteristic
996#95C23×C5911yescharacteristic
997#95C23×C5911yescharacteristic
998#95C23×C5911yescharacteristic
999#95C23×C5911yescharacteristic
1000#95C23×C5911yescharacteristic
1001#95C23×C5911yescharacteristic
1002#95C23×C5911yescharacteristic
1003#95C23×C5911yescharacteristic
1004#95C23×C5911yescharacteristic
1005#95C23×C5911yescharacteristic
1006#95C23×C5911yescharacteristic
1007#95C23×C5911yescharacteristic
1008#95C23×C5911yescharacteristic
1009#95C23×C5911yescharacteristic
1010#95C23×C5911yescharacteristic
1011#95C23×C5911yescharacteristic
1012#95C23×C5911yescharacteristic
1013#95C23×C5911yescharacteristic
1014#95C23×C5911yescharacteristic
1015#95C23×C5911yescharacteristic
1016#95C23×C5911yescharacteristic
1017#95C23×C5911yescharacteristic
1018#95C23×C5911yescharacteristic
1019#95C23×C5911yescharacteristic
1020#95C23×C5911yescharacteristic
1021#95C23×C5911yescharacteristic
1022#95C23×C5911yescharacteristic
1023#95C23×C5911yescharacteristic
1024#95C23×C5911yescharacteristic
1025#95C23×C5911yescharacteristic
1026#95C23×C5911yescharacteristic
1027#95C23×C5911yescharacteristic
1028#95C23×C5911yescharacteristic
1029#95C23×C5911yescharacteristic
1030#95C23×C5911yescharacteristic
1031#95C23×C5911yescharacteristic
1032#95C23×C5911yescharacteristic
1033#95C23×C5911yescharacteristic
1034C24C24×C5911yescharacteristic
1035C24C24×C5911yescharacteristic
1036C2×Q8—41no—
1037C2×Q8—41no—
1038C2×Q8—41no—
1039C2×Q8—41no—
1040C2×Q8—41no—
1041C2×Q8—41no—
1042C2×Q8C22×C4×C5914yes—
1043C2×Q8C22×C4×C5914yes—
1044C2×Q8C22×C4×C5914yes—
1045C2×D4—41no—
1046C2×D4—41no—
1047C2×D4C22×C4×C5914yes—
1048C22×C4—22no—
1049C22×C4—41no—
1050C22×C4—41no—
1051C22×C4—41no—
1052C22×C4—41no—
1053C22×C4—41no—
1054C22×C4—41no—
1055C22×C4—41no—
1056C22×C4—41no—
1057C22×C4—41no—
1058C22×C4—41no—
1059C22×C4—41no—
1060C22×C4—41no—
1061C22×C4—41no—
1062C22×C4—41no—
1063C22×C4—41no—
1064C22×C4C22×C4×C5914yes—
1065C22×C4C22×C4×C5914yes—
1066C22×C4C24×C5911yescharacteristic
1067C22×C4C24×C5911yescharacteristic
1068C22×C4C24×C5911yescharacteristic
1069C22×C4C24×C5911yescharacteristic
1070C22×C4C24×C5911yescharacteristic
1071C22×C4C24×C5911yescharacteristic
1072C22×C4C24×C5911yescharacteristic
1073C22×C4C24×C5911yescharacteristic
1074C22×C4C24×C5911yescharacteristic
1075C22×C4C24×C5911yescharacteristic
1076C22×C4C24×C5911yescharacteristic
1077C22×C4C24×C5911yescharacteristic
1078C22×C4C24×C5911yescharacteristic
1079C22×C4C24×C5911yescharacteristic
1080C22×C4C24×C5911yescharacteristic
1081C22×C4C24×C5911yescharacteristic
1082C22×C4C24×C5911yescharacteristic
1083C22×C4C24×C5911yescharacteristic
1084C22×C4C24×C5911yescharacteristic
1085C22×C4C24×C5911yescharacteristic
1086C22×C4C24×C5911yescharacteristic
1087C22×C4C24×C5911yescharacteristic
1088C22×C4C24×C5911yescharacteristic
1089C22×C4C24×C5911yescharacteristic
1090C22×C4C24×C5911yescharacteristic
1091C22×C4C24×C5911yescharacteristic
1092C22×C4C24×C5911yescharacteristic
1093C22×C4C24×C5911yescharacteristic
1094C22×C4C24×C5911yescharacteristic
1095C4⋊C4—22no—
1096C4⋊C4—41no—
1097C4⋊C4—41no—
1098C4⋊C4—41no—
1099C4⋊C4—41no—
1100C4⋊C4—41no—
1101C4⋊C4—41no—
1102C4⋊C4—41no—
1103C4⋊C4—41no—
1104C4⋊C4—41no—
1105C4⋊C4—41no—
1106C4⋊C4—41no—
1107C4⋊C4—41no—
1108C4⋊C4—41no—
1109C4⋊C4—41no—
1110C4⋊C4—41no—
1111C4⋊C4—41no—
1112C4⋊C4—41no—
1113C4⋊C4—41no—
1114C4⋊C4—41no—
1115C4⋊C4—41no—
1116C4⋊C4—41no—
1117C4⋊C4C22×C4×C5914yes—
1118C4⋊C4C22×C4×C5914yes—
1119C4⋊C4C22×C4×C5914yes—
1120C4⋊C4C22×C4×C5914yes—
1121C4⋊C4C22×C4×C5914yes—
1122C4⋊C4C22×C4×C5914yes—
1123C4⋊C4C22×C4×C5914yes—
1124C4⋊C4C22×C4×C5914yes—
1125C4⋊C4C22×C4×C5914yes—
1126C4⋊C4C22×C4×C5914yes—
1127C4⋊C4C22×C4×C5914yes—
1128C4⋊C4C22×C4×C5914yes—
1129C22⋊C4—22no—
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⋊C4C22×C4×C5914yes—
1142C22⋊C4C22×C4×C5914yes—
1143C22⋊C4C22×C4×C5914yes—
1144C22⋊C4C22×C4×C5914yes—
1145C22⋊C4C22×C4×C5914yes—
1146C22⋊C4C22×C4×C5914yes—
1147C22⋊C4C22×C4×C5914yes—
1148C22⋊C4C22×C4×C5914yes—
1149C22⋊C4C22×C4×C5914yes—
1150C22⋊C4C22×C4×C5914yes—
1151C42—22no—
1152C42—22no—
1153C42—41no—
1154C42—41no—
1155C42—41no—
1156C42—41no—
1157C42—41no—
1158C42—41no—
1159C42—41no—
1160C42—41no—
1161C42—41no—
1162C42—41no—
1163C42—41no—
1164C42—41no—
1165C42—41no—
1166C42—41no—
1167C42—41no—
1168C42—41no—
1169C42—41no—
1170C42—41no—
1171C42—41no—
1172C42—41no—
1173C42C22×C4×C5914yes—
1174C42C22×C4×C5914yes—
1175C42C22×C4×C5914yes—
1176C42C22×C4×C5914yes—
1177C42C22×C4×C5914yes—
1178C42C22×C4×C5914yes—
1179C42C22×C4×C5914yes—
1180C23—21no—
1181C23—21no—
1182C23—21no—
1183C23—21no—
1184C23—21no—
1185C23—21no—
1186C23—21no—
1187C23—21no—
1188C23—21no—
1189C23—21no—
1190C23—21no—
1191C23—21no—
1192C23C23×C4×C5912yes—
1193C23C23×C4×C5912yes—
1194C23C25×C5911yescharacteristic
1195Q8—44no—
1196Q8—44no—
1197Q8—44no—
1198D4—44no—
1199C2×C4—21no—
1200C2×C4—21no—
1201C2×C4—21no—
1202C2×C4—21no—
1203C2×C4—21no—
1204C2×C4—21no—
1205C2×C4—21no—
1206C2×C4—21no—
1207C2×C4—21no—
1208C2×C4—21no—
1209C2×C4—21no—
1210C2×C4—21no—
1211C2×C4—21no—
1212C2×C4—21no—
1213C2×C4—21no—
1214C2×C4—21no—
1215C2×C4—21no—
1216C2×C4—21no—
1217C2×C4—21no—
1218C2×C4—21no—
1219C2×C4—21no—
1220C2×C4—21no—
1221C2×C4—21no—
1222C2×C4—21no—
1223C2×C4—21no—
1224C2×C4—21no—
1225C2×C4—21no—
1226C2×C4—21no—
1227C2×C4—21no—
1228C2×C4—21no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—44no—
1273C2×C4—44no—
1274C2×C4—82no—
1275C2×C4—82no—
1276C2×C4—82no—
1277C2×C4—82no—
1278C2×C4C23×C4×C5912yes—
1279C2×C4C23×C4×C5912yes—
1280C2×C4C23×C4×C5912yes—
1281C2×C4C23×C4×C5912yes—
1282C2×C4C23×C4×C5912yes—
1283C2×C4C23×C4×C5912yes—
1284C2×C4C23×C4×C5912yes—
1285C2×C4C23×C4×C5912yes—
1286C2×C4C23×C4×C5912yes—
1287C2×C4C23×C4×C5912yes—
1288C2×C4C23×C4×C5912yes—
1289C2×C4C23×C4×C5912yes—
1290C2×C4C23×C4×C5912yes—
1291C2×C42−1+4×C5912yes—
1292C22—22no—
1293C22—22no—
1294C22—22no—
1295C22—22no—
1296C22—22no—
1297C22—22no—
1298C22—41no—
1299C22—41no—
1300C22—41no—
1301C22—41no—
1302C22—41no—
1303C22—41no—
1304C22—41no—
1305C22—41no—
1306C22C24×C4×C5911yescharacteristic
1307C22C2×2−1+4×C5911yescharacteristic
1308C22C59×#58511yescharacteristic
1309C22C59×#58511yescharacteristic
1310C22C59×#58511yescharacteristic
1311C22C59×#58511yescharacteristic
1312C22C59×#58511yescharacteristic
1313C4—22no—
1314C4—22no—
1315C4—22no—
1316C4—22no—
1317C4—22no—
1318C4—22no—
1319C4—22no—
1320C4—22no—
1321C4—22no—
1322C4—22no—
1323C4—22no—
1324C4—22no—
1325C4—22no—
1326C4—22no—
1327C4—41no—
1328C4—41no—
1329C4—41no—
1330C4—41no—
1331C4—41no—
1332C4—41no—
1333C4—41no—
1334C4—41no—
1335C4—41no—
1336C4—41no—
1337C4—41no—
1338C4—41no—
1339C4—41no—
1340C4—41no—
1341C4—41no—
1342C2—42no—
1343C2—42no—
1344C2C59×#342811yescharacteristic
1345C2C59×#342811yescharacteristic
1346C2C4×2−1+4×C5911yescharacteristic
1347C2C59×#356411yescharacteristic
1348C2C59×#356511yescharacteristic
1349C2C59×#356611yescharacteristic
1350C2C59×#356811yescharacteristic
subgroupG/H
center, socleC23×C59C25
commutatorC22C24×C4×C59
Frattini, cosocleC23C25×C59
prime radicalC22×D4×C59C23
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C59 ◁ G

Complements

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

NH ≅ G/Ntype
2. C59×#2383C2semidirect
3. C59×#2381C2semidirect
5. C59×#2378C2semidirect
6. C59×#2373C2semidirect
7. C59×#2373C2semidirect
8. C59×#2373C2semidirect
10. C59×#2368C2semidirect
11. C59×#2356C2semidirect
12. C59×#2356C2semidirect
13. C59×#2355C2semidirect
15. C59×#2343C2semidirect
16. C59×#2343C2semidirect
19. C59×#2334C2semidirect
20. C59×#2334C2semidirect
21. C59×#2334C2semidirect
22. C59×#2332C2semidirect
23. C59×#2331C2semidirect
24. C59×#2329C2semidirect
25. C59×#2320C2semidirect
26. C59×#2320C2semidirect
28. C59×#2314C2semidirect
29. C4×#126×C59C2semidirect
30. C59×#2298C2semidirect
31. C59×#2295C2semidirect
32. C59×#556C4semidirect
198. C4⋊Q8×C59C2×C4semidirect
199. #126×C59C2×C4semidirect
200. #126×C59C2×C4semidirect
201. #126×C59C2×C4semidirect
202. #126×C59C2×C4semidirect
205. C22⋊Q8×C59C2×C4semidirect
206. C22⋊Q8×C59C2×C4semidirect
207. C4×Q8×C59C2×C4semidirect
208. C4×Q8×C59C2×C4semidirect
209. C4×Q8×C59C2×C4semidirect
211. #117×C59C2×C4semidirect
212. #117×C59C2×C4semidirect
616. #34505C59direct (N × H)
668. #2383C2×C59semidirect
669. #2381C2×C59semidirect
671. #2378C2×C59semidirect
672. #2373C2×C59semidirect
673. #2373C2×C59semidirect
674. #2373C2×C59semidirect
676. #2368C2×C59semidirect
677. #2356C2×C59semidirect
678. #2356C2×C59semidirect
679. #2355C2×C59semidirect
681. #2343C2×C59semidirect
682. #2343C2×C59semidirect
685. #2334C2×C59semidirect
686. #2334C2×C59semidirect
687. #2334C2×C59semidirect
688. #2332C2×C59semidirect
689. #2331C2×C59semidirect
690. #2329C2×C59semidirect
691. #2320C2×C59semidirect
692. #2320C2×C59semidirect
694. #2314C2×C59semidirect
695. C4×#126C2×C59semidirect
696. #2298C2×C59semidirect
697. #2295C2×C59semidirect
707. #556C4×C59semidirect
863. C59#34505direct (N × H)
874. C4⋊Q8C2×C4×C59semidirect
875. #126C2×C4×C59semidirect
876. #126C2×C4×C59semidirect
877. #126C2×C4×C59semidirect
878. #126C2×C4×C59semidirect
881. C22⋊Q8C2×C4×C59semidirect
882. C22⋊Q8C2×C4×C59semidirect
883. C4×Q8C2×C4×C59semidirect
884. C4×Q8C2×C4×C59semidirect
885. C4×Q8C2×C4×C59semidirect
887. #117C2×C4×C59semidirect
888. #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×#5562
C59×#23832
C59×#23812
C59×#23792
C59×#23782
C59×#23732
C59×#23722
C59×#23682
C59×#23562
C59×#23552
C59×#23532
C59×#23432
C59×#23372
C59×#23342
C59×#23322
C59×#23312
C59×#23292
C59×#23202
C59×#23182
C59×#23142
C4×#126×C592
C59×#22982
C59×#22952
#3450559