Finite Group Databasebeta

← C59×#35779 #28447888

Subgroups — C59×#35779 #28447888

Order 15104.

1882 conjugacy classes of subgroups.

The subgroup lattice has 1454 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C59×#2667C211yesmaximal, characteristic, complemented
2C59×#2665C211yesmaximal, characteristic, complemented
3C59×#2626C211yesmaximal, characteristic
4C59×#2608C211yesmaximal, characteristic, complemented
5C59×#2608C211yesmaximal, characteristic, complemented
6C59×#2587C211yesmaximal, characteristic, complemented
7C59×#2587C211yesmaximal, characteristic, complemented
8C59×#2583C211yesmaximal, characteristic, complemented
9C59×#2574C211yesmaximal, characteristic, complemented
10C59×#2556C211yesmaximal, characteristic, complemented
11C59×#2522C211yesmaximal, characteristic, complemented
12C59×#2505C211yesmaximal, characteristic, complemented
13C59×#2497C211yesmaximal, characteristic, complemented
14C59×#2473C211yesmaximal, characteristic, complemented
15C59×#2465C211yesmaximal, characteristic, complemented
16C59×#2441C211yesmaximal, characteristic, complemented
17C59×#2440C211yesmaximal, characteristic, complemented
18C59×#2439C211yesmaximal, characteristic, complemented
19C59×#2437C211yesmaximal, characteristic
20C59×#2437C211yesmaximal, characteristic
21C59×#2429C211yesmaximal, characteristic, complemented
22C59×#2396C211yesmaximal, characteristic, complemented
23C59×#2396C211yesmaximal, characteristic, complemented
24C2×C59×#396C211yesmaximal, characteristic
25C59×#2368C211yesmaximal, characteristic, complemented
26C59×#2360C211yesmaximal, characteristic, complemented
27C59×#2360C211yesmaximal, characteristic, complemented
28C59×#2345C211yesmaximal, characteristic, complemented
29C59×#2342C211yesmaximal, characteristic
30C59×#2342C211yesmaximal, characteristic
31C59×#2273C211yesmaximal, characteristic
32C2×C4⋊Q8×C59C2211yescharacteristic, complemented
33C2×#125×C59C2211yescharacteristic, complemented
34C2×C22⋊Q8×C59C2211yescharacteristic
35C2×C22⋊Q8×C59C2211yescharacteristic
36C2×C22⋊Q8×C59C2211yescharacteristic
37C2×C22⋊Q8×C59C2211yescharacteristic
38C2×C22⋊Q8×C59C2211yescharacteristic
39C2×C4×Q8×C59C2211yescharacteristic, complemented
40C2×C4×Q8×C59C2211yescharacteristic, complemented
41C2×#117×C59C2211yescharacteristic
42C2×#117×C59C2211yescharacteristic
43C22×C4⋊C4×C59C2211yescharacteristic
44C22×C4⋊C4×C59C2211yescharacteristic
45C22×C4⋊C4×C59C2211yescharacteristic
46C22×C22⋊C4×C59C2211yescharacteristic
47C22×C22⋊C4×C59C2211yescharacteristic
48C22×C22⋊C4×C59C2211yescharacteristic
49C22×C22⋊C4×C59C2211yescharacteristic
50C22×C22⋊C4×C59C2211yescharacteristic
51C59×#400C2211yescharacteristic, complemented
52C59×#400C2211yescharacteristic, complemented
53C59×#400C2211yescharacteristic, complemented
54C59×#400C2211yescharacteristic, complemented
55C59×#399C2211yescharacteristic
56C59×#399C2211yescharacteristic
57C59×#399C2211yescharacteristic
58C59×#399C2211yescharacteristic
59C59×#398C2211yescharacteristic, complemented
60C59×#398C2211yescharacteristic, complemented
61C59×#398C2211yescharacteristic, complemented
62C59×#398C2211yescharacteristic, complemented
63C59×#398C2211yescharacteristic, complemented
64C59×#398C2211yescharacteristic, complemented
65C59×#398C2211yescharacteristic, complemented
66C59×#398C2211yescharacteristic, complemented
67C59×#396C2211yescharacteristic
68C59×#396C2211yescharacteristic
69C59×#396C2211yescharacteristic
70C59×#396C2211yescharacteristic
71C59×#396C2211yescharacteristic
72C59×#396C2211yescharacteristic
73C59×#396C2211yescharacteristic
74C59×#396C2211yescharacteristic
75C59×#396C2211yescharacteristic
76C59×#396C2211yescharacteristic
77C59×#396C2211yescharacteristic
78C59×#396C2211yescharacteristic
79C59×#396C2211yescharacteristic
80C59×#396C2211yescharacteristic
81C59×#396C2211yescharacteristic
82C59×#396C2211yescharacteristic
83C59×#395C2211yescharacteristic, complemented
84C59×#395C2211yescharacteristic, complemented
85C59×#395C2211yescharacteristic, complemented
86C59×#395C2211yescharacteristic, complemented
87C59×#393C2211yescharacteristic
88C59×#393C2211yescharacteristic
89C59×#393C2211yescharacteristic
90C59×#393C2211yescharacteristic
91C59×#391C2211yescharacteristic, complemented
92C59×#391C2211yescharacteristic, complemented
93C59×#391C2211yescharacteristic, complemented
94C59×#391C2211yescharacteristic, complemented
95C59×#389C2211yescharacteristic, complemented
96C59×#389C2211yescharacteristic, complemented
97C59×#389C2211yescharacteristic, complemented
98C59×#389C2211yescharacteristic, complemented
99C59×#389C2211yescharacteristic, complemented
100C59×#389C2211yescharacteristic, complemented
101C59×#389C2211yescharacteristic, complemented
102C59×#389C2211yescharacteristic, complemented
103C59×#389C2211yescharacteristic, complemented
104C59×#389C2211yescharacteristic, complemented
105C59×#389C2211yescharacteristic, complemented
106C59×#389C2211yescharacteristic, complemented
107C59×#389C2211yescharacteristic, complemented
108C59×#389C2211yescharacteristic, complemented
109C59×#389C2211yescharacteristic, complemented
110C59×#389C2211yescharacteristic, complemented
111C59×#388C2211yescharacteristic
112C59×#388C2211yescharacteristic
113C59×#388C2211yescharacteristic
114C59×#388C2211yescharacteristic
115C59×#388C2211yescharacteristic
116C59×#388C2211yescharacteristic
117C59×#388C2211yescharacteristic
118C59×#388C2211yescharacteristic
119C59×#387C2211yescharacteristic, complemented
120C59×#387C2211yescharacteristic, complemented
121C59×#387C2211yescharacteristic, complemented
122C59×#387C2211yescharacteristic, complemented
123C59×#387C2211yescharacteristic, complemented
124C59×#387C2211yescharacteristic, complemented
125C59×#387C2211yescharacteristic, complemented
126C59×#387C2211yescharacteristic, complemented
127C59×#387C2211yescharacteristic, complemented
128C59×#387C2211yescharacteristic, complemented
129C59×#387C2211yescharacteristic, complemented
130C59×#387C2211yescharacteristic, complemented
131C59×#387C2211yescharacteristic, complemented
132C59×#387C2211yescharacteristic, complemented
133C59×#387C2211yescharacteristic, complemented
134C59×#387C2211yescharacteristic, complemented
135C59×#385C2211yescharacteristic
136C59×#385C2211yescharacteristic
137C59×#385C2211yescharacteristic
138C59×#385C2211yescharacteristic
139C59×#385C2211yescharacteristic
140C59×#385C2211yescharacteristic
141C59×#385C2211yescharacteristic
142C59×#385C2211yescharacteristic
143C59×#385C2211yescharacteristic
144C59×#385C2211yescharacteristic
145C59×#385C2211yescharacteristic
146C59×#385C2211yescharacteristic
147C59×#385C2211yescharacteristic
148C59×#385C2211yescharacteristic
149C59×#384C2211yescharacteristic, complemented
150C59×#382C2211yescharacteristic, complemented
151C59×#381C2211yescharacteristic
152C59×#381C2211yescharacteristic
153C59×#380C2211yescharacteristic
154C59×#380C2211yescharacteristic
155C59×#380C2211yescharacteristic
156C59×#380C2211yescharacteristic
157C59×#380C2211yescharacteristic
158C59×#380C2211yescharacteristic
159C59×#380C2211yescharacteristic
160C59×#379C2211yescharacteristic
161C59×#379C2211yescharacteristic
162C4×C4⋊C4×C59C2211yescharacteristic, complemented
163C4×C4⋊C4×C59C2211yescharacteristic, complemented
164C4×C4⋊C4×C59C2211yescharacteristic, complemented
165C4×C4⋊C4×C59C2211yescharacteristic, complemented
166C4×C4⋊C4×C59C2211yescharacteristic, complemented
167C4×C4⋊C4×C59C2211yescharacteristic, complemented
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
183C4×C22⋊C4×C59C2211yescharacteristic
184C4×C22⋊C4×C59C2211yescharacteristic
185C4×C22⋊C4×C59C2211yescharacteristic
186C2×#95×C59C2211yescharacteristic
187C25×C59C2311yescharacteristic
188C22×Q8×C59C2311yescharacteristic
189C22×Q8×C59C2311yescharacteristic
190C22×Q8×C59C2311yescharacteristic
191C23×C4×C59C2311yescharacteristic
192C23×C4×C59C2311yescharacteristic
193C23×C4×C59C2311yescharacteristic
194C23×C4×C59C2311yescharacteristic
195C23×C4×C59C2311yescharacteristic
196C23×C4×C59C2311yescharacteristic
197C23×C4×C59C2311yescharacteristic
198C23×C4×C59C2311yescharacteristic
199C23×C4×C59C2311yescharacteristic
200C23×C4×C59C2311yescharacteristic
201C4⋊Q8×C59—42no—
202#125×C59—42no—
203C22⋊Q8×C59—24no—
204C22⋊Q8×C59—24no—
205C22⋊Q8×C59—24no—
206C22⋊Q8×C59—42no—
207C22⋊Q8×C59—42no—
208C4×Q8×C59—42no—
209C4×Q8×C59—42no—
210#117×C59—42no—
211#117×C59—42no—
212C2×C4⋊C4×C59—24no—
213C2×C4⋊C4×C59—42no—
214C2×C4⋊C4×C59—42no—
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×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×C22⋊C4×C59—24no—
263C2×C22⋊C4×C59—24no—
264C2×C22⋊C4×C59—42no—
265C2×C22⋊C4×C59—42no—
266C2×C22⋊C4×C59Q818yescomplemented
267C2×C22⋊C4×C59C2311yescharacteristic
268C2×C22⋊C4×C59C2311yescharacteristic
269C2×C22⋊C4×C59C2311yescharacteristic
270C2×C22⋊C4×C59C2311yescharacteristic
271C2×C22⋊C4×C59C2311yescharacteristic
272C2×C22⋊C4×C59C2311yescharacteristic
273C2×C22⋊C4×C59C2311yescharacteristic
274C2×C22⋊C4×C59C2311yescharacteristic
275C2×C22⋊C4×C59C2311yescharacteristic
276C2×C22⋊C4×C59C2311yescharacteristic
277C2×C22⋊C4×C59C2311yescharacteristic
278C2×C22⋊C4×C59C2311yescharacteristic
279C2×C22⋊C4×C59C2311yescharacteristic
280C2×C22⋊C4×C59C2311yescharacteristic
281C2×C22⋊C4×C59C2311yescharacteristic
282C2×C22⋊C4×C59C2311yescharacteristic
283C2×C22⋊C4×C59C2311yescharacteristic
284C2×C22⋊C4×C59C2311yescharacteristic
285C2×C22⋊C4×C59C2311yescharacteristic
286C2×C22⋊C4×C59C2311yescharacteristic
287C2×C22⋊C4×C59C2311yescharacteristic
288C2×C22⋊C4×C59C2311yescharacteristic
289C2×C22⋊C4×C59C2311yescharacteristic
290C2×C22⋊C4×C59C2311yescharacteristic
291C2×C22⋊C4×C59C2311yescharacteristic
292C2×C22⋊C4×C59C2311yescharacteristic
293C2×C22⋊C4×C59C2311yescharacteristic
294C2×C22⋊C4×C59C2311yescharacteristic
295C2×C22⋊C4×C59C2311yescharacteristic
296C2×C22⋊C4×C59C2311yescharacteristic
297C2×C22⋊C4×C59C2311yescharacteristic
298C2×C22⋊C4×C59C2311yescharacteristic
299C2×C42×C59C2311yescharacteristic
300C2×C42×C59C2311yescharacteristic
301C2×C42×C59C2311yescharacteristic
302C2×C42×C59C2311yescharacteristic
303C2×C42×C59C2311yescharacteristic
304C2×C42×C59C2311yescharacteristic
305C2×C42×C59C2311yescharacteristic
306C2×C42×C59C2311yescharacteristic
307C2×C42×C59C2311yescharacteristic
308C2×C42×C59C2311yescharacteristic
309C2×C42×C59C2311yescharacteristic
310C2×C42×C59C2311yescharacteristic
311C2×C42×C59C2311yescharacteristic
312C2×C42×C59C2311yescharacteristic
313C2×C42×C59C2311yescharacteristic
314C2×C42×C59C2311yescharacteristic
315#95×C59C2311yescharacteristic
316#95×C59C2311yescharacteristic
317#95×C59C2311yescharacteristic
318#95×C59C2311yescharacteristic
319#95×C59C2311yescharacteristic
320#95×C59C2311yescharacteristic
321#95×C59C2311yescharacteristic
322#95×C59C2311yescharacteristic
323#95×C59C2311yescharacteristic
324#95×C59C2311yescharacteristic
325#95×C59C2311yescharacteristic
326#95×C59C2311yescharacteristic
327#95×C59C2311yescharacteristic
328#95×C59C2311yescharacteristic
329#95×C59C2311yescharacteristic
330#95×C59C2311yescharacteristic
331#95×C59C2311yescharacteristic
332#95×C59C2311yescharacteristic
333#95×C59C2311yescharacteristic
334#95×C59C2311yescharacteristic
335#95×C59C2311yescharacteristic
336#95×C59C2311yescharacteristic
337#95×C59C2311yescharacteristic
338#95×C59C2311yescharacteristic
339#95×C59C2311yescharacteristic
340#95×C59C2311yescharacteristic
341#95×C59C2311yescharacteristic
342#95×C59C2311yescharacteristic
343#95×C59C2311yescharacteristic
344#95×C59C2311yescharacteristic
345#95×C59C2311yescharacteristic
346#95×C59C2311yescharacteristic
347#95×C59C2311yescharacteristic
348#95×C59C2311yescharacteristic
349#95×C59C2311yescharacteristic
350#95×C59C2311yescharacteristic
351#95×C59C2311yescharacteristic
352#95×C59C2311yescharacteristic
353#95×C59C2311yescharacteristic
354#95×C59C2311yescharacteristic
355#95×C59C2311yescharacteristic
356#95×C59C2311yescharacteristic
357#95×C59C2311yescharacteristic
358#95×C59C2311yescharacteristic
359#95×C59C2311yescharacteristic
360#95×C59C2311yescharacteristic
361C24×C59—22no—
362C24×C59—22no—
363C24×C59—41no—
364C24×C59—41no—
365C24×C59—41no—
366C24×C59—41no—
367C24×C59C2×Q814yes—
368C24×C59C2411yescharacteristic
369C24×C59C2411yescharacteristic
370C24×C59C2411yescharacteristic
371C2×Q8×C59—22no—
372C2×Q8×C59—22no—
373C2×Q8×C59—22no—
374C2×Q8×C59—22no—
375C2×Q8×C59—41no—
376C2×Q8×C59—41no—
377C2×Q8×C59—41no—
378C2×Q8×C59—41no—
379C2×Q8×C59—41no—
380C22×C4×C59—22no—
381C22×C4×C59—22no—
382C22×C4×C59—22no—
383C22×C4×C59—22no—
384C22×C4×C59—22no—
385C22×C4×C59—22no—
386C22×C4×C59—22no—
387C22×C4×C59—22no—
388C22×C4×C59—22no—
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×C59C2×Q814yes—
408C22×C4×C59C2×Q814yes—
409C22×C4×C59#4114yes—
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
419C22×C4×C59C2411yescharacteristic
420C22×C4×C59C2411yescharacteristic
421C22×C4×C59C2411yescharacteristic
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
438C4⋊C4×C59—22no—
439C4⋊C4×C59—22no—
440C4⋊C4×C59—22no—
441C4⋊C4×C59—22no—
442C4⋊C4×C59—22no—
443C4⋊C4×C59—22no—
444C4⋊C4×C59—22no—
445C4⋊C4×C59—22no—
446C4⋊C4×C59—22no—
447C4⋊C4×C59—22no—
448C4⋊C4×C59—22no—
449C4⋊C4×C59—22no—
450C4⋊C4×C59—22no—
451C4⋊C4×C59—22no—
452C4⋊C4×C59—22no—
453C4⋊C4×C59—22no—
454C4⋊C4×C59—22no—
455C4⋊C4×C59—22no—
456C4⋊C4×C59—22no—
457C4⋊C4×C59—22no—
458C4⋊C4×C59—22no—
459C4⋊C4×C59—22no—
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×C59—41no—
470C4⋊C4×C59—41no—
471C4⋊C4×C59—41no—
472C4⋊C4×C59—41no—
473C4⋊C4×C59—41no—
474C4⋊C4×C59—41no—
475C4⋊C4×C59—41no—
476C4⋊C4×C59—41no—
477C4⋊C4×C59—41no—
478C4⋊C4×C59—41no—
479C4⋊C4×C59—41no—
480C4⋊C4×C59—41no—
481C4⋊C4×C59—41no—
482C4⋊C4×C59—41no—
483C4⋊C4×C59—41no—
484C4⋊C4×C59—41no—
485C22⋊C4×C59—22no—
486C22⋊C4×C59—22no—
487C22⋊C4×C59—22no—
488C22⋊C4×C59—22no—
489C22⋊C4×C59—22no—
490C22⋊C4×C59—22no—
491C22⋊C4×C59—22no—
492C22⋊C4×C59—22no—
493C22⋊C4×C59—22no—
494C22⋊C4×C59—22no—
495C22⋊C4×C59—22no—
496C22⋊C4×C59—22no—
497C22⋊C4×C59—22no—
498C22⋊C4×C59—22no—
499C22⋊C4×C59—22no—
500C22⋊C4×C59—41no—
501C22⋊C4×C59—41no—
502C22⋊C4×C59—41no—
503C22⋊C4×C59—41no—
504C22⋊C4×C59—41no—
505C22⋊C4×C59—41no—
506C22⋊C4×C59—41no—
507C22⋊C4×C59—41no—
508C22⋊C4×C59—41no—
509C22⋊C4×C59—41no—
510C22⋊C4×C59—41no—
511C22⋊C4×C59—41no—
512C22⋊C4×C59C2×Q814yes—
513C22⋊C4×C59C2×Q814yes—
514C22⋊C4×C59C2×Q814yes—
515C22⋊C4×C59C2×Q814yes—
516C22⋊C4×C59#4114yes—
517C42×C59—22no—
518C42×C59—22no—
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—
533C23×C59—21no—
534C23×C59—21no—
535C23×C59—21no—
536C23×C59—21no—
537C23×C59—21no—
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—28no—
550C23×C59—44no—
551C23×C59—44no—
552C23×C59—82no—
553C23×C59—82no—
554C23×C59—82no—
555C23×C59—82no—
556C23×C59C22×Q812yes—
557C23×C59C22×Q812yes—
558C23×C59C22×Q812yes—
559C23×C59C2×#4112yes—
560C23×C59C2×#4112yes—
561C23×C59C2511yescharacteristic
562Q8×C59—44no—
563Q8×C59—44no—
564Q8×C59—82no—
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—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—44no—
640C2×C4×C59—44no—
641C2×C4×C59—44no—
642C2×C4×C59—44no—
643C2×C4×C59—44no—
644C2×C4×C59—82no—
645C2×C4×C59—82no—
646C2×C4×C59—82no—
647C2×C4×C59—82no—
648C2×C4×C59—82no—
649C2×C4×C59C22×Q812yes—
650C2×C4×C59C22×Q812yes—
651C2×C4×C59C22×Q812yes—
652C2×C4×C59C22×Q812yes—
653C2×C4×C59C2×#4112yes—
654C2×C4×C59C2×#4112yes—
655C2×C4×C59C2×#4112yes—
656C2×C4×C59C2×#4112yes—
657C2×C4×C59H(5,𝔽2)12yes—
658C2×C4×C59H(5,𝔽2)12yes—
659#35779C5911yesmaximal, characteristic, direct product factor, Sylow
660C22×C59—22no—
661C22×C59—22no—
662C22×C59—22no—
663C22×C59—22no—
664C22×C59—22no—
665C22×C59—22no—
666C22×C59—22no—
667C22×C59—22no—
668C22×C59—22no—
669C22×C59—22no—
670C22×C59—22no—
671C22×C59—22no—
672C22×C59—41no—
673C22×C59—41no—
674C22×C59—41no—
675C22×C59—41no—
676C22×C59—41no—
677C22×C59—41no—
678C22×C59—41no—
679C22×C59—41no—
680C22×C59—88no—
681C22×C59#53314yes—
682C22×C59C23×Q811yescharacteristic
683C22×C59C22×#4111yescharacteristic
684C22×C59C22×#4111yescharacteristic
685C22×C59C2×H(5,𝔽2)11yescharacteristic
686C22×C59C2×H(5,𝔽2)11yescharacteristic
687C22×C59#58511yescharacteristic
688C22×C59#58511yescharacteristic
689C4×C59—22no—
690C4×C59—22no—
691C4×C59—22no—
692C4×C59—22no—
693C4×C59—22no—
694C4×C59—22no—
695C4×C59—22no—
696C4×C59—22no—
697C4×C59—22no—
698C4×C59—22no—
699C4×C59—41no—
700C4×C59—41no—
701C4×C59—41no—
702C4×C59—41no—
703C4×C59—41no—
704C4×C59—41no—
705C4×C59—41no—
706C4×C59—41no—
707C4×C59—41no—
708C4×C59—41no—
709C4×C59—41no—
710C4×C59—41no—
711C4×C59—41no—
712C4×C59—41no—
713C4×C59—41no—
714C4×C59—41no—
715C4×C59—41no—
716C4×C59—41no—
717#2667C2×C5911yescharacteristic, complemented
718#2665C2×C5911yescharacteristic, complemented
719#2626C2×C5911yescharacteristic
720#2608C2×C5911yescharacteristic, complemented
721#2608C2×C5911yescharacteristic, complemented
722#2587C2×C5911yescharacteristic, complemented
723#2587C2×C5911yescharacteristic, complemented
724#2583C2×C5911yescharacteristic, complemented
725#2574C2×C5911yescharacteristic, complemented
726#2556C2×C5911yescharacteristic, complemented
727#2522C2×C5911yescharacteristic, complemented
728#2505C2×C5911yescharacteristic, complemented
729#2497C2×C5911yescharacteristic, complemented
730#2473C2×C5911yescharacteristic, complemented
731#2465C2×C5911yescharacteristic, complemented
732#2441C2×C5911yescharacteristic, complemented
733#2440C2×C5911yescharacteristic, complemented
734#2439C2×C5911yescharacteristic, complemented
735#2437C2×C5911yescharacteristic
736#2437C2×C5911yescharacteristic
737#2429C2×C5911yescharacteristic, complemented
738#2396C2×C5911yescharacteristic, complemented
739#2396C2×C5911yescharacteristic, complemented
740C2×#396C2×C5911yescharacteristic
741#2368C2×C5911yescharacteristic, complemented
742#2360C2×C5911yescharacteristic, complemented
743#2360C2×C5911yescharacteristic, complemented
744#2345C2×C5911yescharacteristic, complemented
745#2342C2×C5911yescharacteristic
746#2342C2×C5911yescharacteristic
747#2273C2×C5911yescharacteristic
748C2×C59—24no—
749C2×C59—42no—
750C2×C59—42no—
751C2×C59C2×#53311yescharacteristic
752C2×C59#349411yescharacteristic
753C2×C59#350111yescharacteristic
754C2×C59#350111yescharacteristic
755C2×C59#350511yescharacteristic
756C2×C59#351911yescharacteristic
757C2×C59#352111yescharacteristic
758C2×C4⋊Q8C22×C5911yescharacteristic, complemented
759C2×#125C22×C5911yescharacteristic, complemented
760C2×C22⋊Q8C22×C5911yescharacteristic
761C2×C22⋊Q8C22×C5911yescharacteristic
762C2×C22⋊Q8C22×C5911yescharacteristic
763C2×C22⋊Q8C22×C5911yescharacteristic
764C2×C22⋊Q8C22×C5911yescharacteristic
765C2×C4×Q8C22×C5911yescharacteristic, complemented
766C2×C4×Q8C22×C5911yescharacteristic, complemented
767C2×#117C22×C5911yescharacteristic
768C2×#117C22×C5911yescharacteristic
769C22×C4⋊C4C22×C5911yescharacteristic
770C22×C4⋊C4C22×C5911yescharacteristic
771C22×C4⋊C4C22×C5911yescharacteristic
772C22×C22⋊C4C22×C5911yescharacteristic
773C22×C22⋊C4C22×C5911yescharacteristic
774C22×C22⋊C4C22×C5911yescharacteristic
775C22×C22⋊C4C22×C5911yescharacteristic
776C22×C22⋊C4C22×C5911yescharacteristic
777#400C22×C5911yescharacteristic, complemented
778#400C22×C5911yescharacteristic, complemented
779#400C22×C5911yescharacteristic, complemented
780#400C22×C5911yescharacteristic, complemented
781#399C22×C5911yescharacteristic
782#399C22×C5911yescharacteristic
783#399C22×C5911yescharacteristic
784#399C22×C5911yescharacteristic
785#398C22×C5911yescharacteristic, complemented
786#398C22×C5911yescharacteristic, complemented
787#398C22×C5911yescharacteristic, complemented
788#398C22×C5911yescharacteristic, complemented
789#398C22×C5911yescharacteristic, complemented
790#398C22×C5911yescharacteristic, complemented
791#398C22×C5911yescharacteristic, complemented
792#398C22×C5911yescharacteristic, complemented
793#396C22×C5911yescharacteristic
794#396C22×C5911yescharacteristic
795#396C22×C5911yescharacteristic
796#396C22×C5911yescharacteristic
797#396C22×C5911yescharacteristic
798#396C22×C5911yescharacteristic
799#396C22×C5911yescharacteristic
800#396C22×C5911yescharacteristic
801#396C22×C5911yescharacteristic
802#396C22×C5911yescharacteristic
803#396C22×C5911yescharacteristic
804#396C22×C5911yescharacteristic
805#396C22×C5911yescharacteristic
806#396C22×C5911yescharacteristic
807#396C22×C5911yescharacteristic
808#396C22×C5911yescharacteristic
809#395C22×C5911yescharacteristic, complemented
810#395C22×C5911yescharacteristic, complemented
811#395C22×C5911yescharacteristic, complemented
812#395C22×C5911yescharacteristic, complemented
813#393C22×C5911yescharacteristic
814#393C22×C5911yescharacteristic
815#393C22×C5911yescharacteristic
816#393C22×C5911yescharacteristic
817#391C22×C5911yescharacteristic, complemented
818#391C22×C5911yescharacteristic, complemented
819#391C22×C5911yescharacteristic, complemented
820#391C22×C5911yescharacteristic, complemented
821#389C22×C5911yescharacteristic, complemented
822#389C22×C5911yescharacteristic, complemented
823#389C22×C5911yescharacteristic, complemented
824#389C22×C5911yescharacteristic, complemented
825#389C22×C5911yescharacteristic, complemented
826#389C22×C5911yescharacteristic, complemented
827#389C22×C5911yescharacteristic, complemented
828#389C22×C5911yescharacteristic, complemented
829#389C22×C5911yescharacteristic, complemented
830#389C22×C5911yescharacteristic, complemented
831#389C22×C5911yescharacteristic, complemented
832#389C22×C5911yescharacteristic, complemented
833#389C22×C5911yescharacteristic, complemented
834#389C22×C5911yescharacteristic, complemented
835#389C22×C5911yescharacteristic, complemented
836#389C22×C5911yescharacteristic, complemented
837#388C22×C5911yescharacteristic
838#388C22×C5911yescharacteristic
839#388C22×C5911yescharacteristic
840#388C22×C5911yescharacteristic
841#388C22×C5911yescharacteristic
842#388C22×C5911yescharacteristic
843#388C22×C5911yescharacteristic
844#388C22×C5911yescharacteristic
845#387C22×C5911yescharacteristic, complemented
846#387C22×C5911yescharacteristic, complemented
847#387C22×C5911yescharacteristic, complemented
848#387C22×C5911yescharacteristic, complemented
849#387C22×C5911yescharacteristic, complemented
850#387C22×C5911yescharacteristic, complemented
851#387C22×C5911yescharacteristic, complemented
852#387C22×C5911yescharacteristic, complemented
853#387C22×C5911yescharacteristic, complemented
854#387C22×C5911yescharacteristic, complemented
855#387C22×C5911yescharacteristic, complemented
856#387C22×C5911yescharacteristic, complemented
857#387C22×C5911yescharacteristic, complemented
858#387C22×C5911yescharacteristic, complemented
859#387C22×C5911yescharacteristic, complemented
860#387C22×C5911yescharacteristic, complemented
861#385C22×C5911yescharacteristic
862#385C22×C5911yescharacteristic
863#385C22×C5911yescharacteristic
864#385C22×C5911yescharacteristic
865#385C22×C5911yescharacteristic
866#385C22×C5911yescharacteristic
867#385C22×C5911yescharacteristic
868#385C22×C5911yescharacteristic
869#385C22×C5911yescharacteristic
870#385C22×C5911yescharacteristic
871#385C22×C5911yescharacteristic
872#385C22×C5911yescharacteristic
873#385C22×C5911yescharacteristic
874#385C22×C5911yescharacteristic
875#384C22×C5911yescharacteristic, complemented
876#382C22×C5911yescharacteristic, complemented
877#381C22×C5911yescharacteristic
878#381C22×C5911yescharacteristic
879#380C22×C5911yescharacteristic
880#380C22×C5911yescharacteristic
881#380C22×C5911yescharacteristic
882#380C22×C5911yescharacteristic
883#380C22×C5911yescharacteristic
884#380C22×C5911yescharacteristic
885#380C22×C5911yescharacteristic
886#379C22×C5911yescharacteristic
887#379C22×C5911yescharacteristic
888C4×C4⋊C4C22×C5911yescharacteristic, complemented
889C4×C4⋊C4C22×C5911yescharacteristic, complemented
890C4×C4⋊C4C22×C5911yescharacteristic, complemented
891C4×C4⋊C4C22×C5911yescharacteristic, complemented
892C4×C4⋊C4C22×C5911yescharacteristic, complemented
893C4×C4⋊C4C22×C5911yescharacteristic, complemented
894C4×C22⋊C4C22×C5911yescharacteristic
895C4×C22⋊C4C22×C5911yescharacteristic
896C4×C22⋊C4C22×C5911yescharacteristic
897C4×C22⋊C4C22×C5911yescharacteristic
898C4×C22⋊C4C22×C5911yescharacteristic
899C4×C22⋊C4C22×C5911yescharacteristic
900C4×C22⋊C4C22×C5911yescharacteristic
901C4×C22⋊C4C22×C5911yescharacteristic
902C4×C22⋊C4C22×C5911yescharacteristic
903C4×C22⋊C4C22×C5911yescharacteristic
904C4×C22⋊C4C22×C5911yescharacteristic
905C4×C22⋊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
912C2×#95C22×C5911yescharacteristic
913C59#3577911yescharacteristic, direct product factor, Sylow
914C25C23×C5911yescharacteristic
915C22×Q8C23×C5911yescharacteristic
916C22×Q8C23×C5911yescharacteristic
917C22×Q8C23×C5911yescharacteristic
918C23×C4C23×C5911yescharacteristic
919C23×C4C23×C5911yescharacteristic
920C23×C4C23×C5911yescharacteristic
921C23×C4C23×C5911yescharacteristic
922C23×C4C23×C5911yescharacteristic
923C23×C4C23×C5911yescharacteristic
924C23×C4C23×C5911yescharacteristic
925C23×C4C23×C5911yescharacteristic
926C23×C4C23×C5911yescharacteristic
927C23×C4C23×C5911yescharacteristic
928C4⋊Q8—42no—
929#125—42no—
930C22⋊Q8—24no—
931C22⋊Q8—24no—
932C22⋊Q8—24no—
933C22⋊Q8—42no—
934C22⋊Q8—42no—
935C4×Q8—42no—
936C4×Q8—42no—
937#117—42no—
938#117—42no—
939C2×C4⋊C4—24no—
940C2×C4⋊C4—42no—
941C2×C4⋊C4—42no—
942C2×C4⋊C4C23×C5911yescharacteristic
943C2×C4⋊C4C23×C5911yescharacteristic
944C2×C4⋊C4C23×C5911yescharacteristic
945C2×C4⋊C4C23×C5911yescharacteristic
946C2×C4⋊C4C23×C5911yescharacteristic
947C2×C4⋊C4C23×C5911yescharacteristic
948C2×C4⋊C4C23×C5911yescharacteristic
949C2×C4⋊C4C23×C5911yescharacteristic
950C2×C4⋊C4C23×C5911yescharacteristic
951C2×C4⋊C4C23×C5911yescharacteristic
952C2×C4⋊C4C23×C5911yescharacteristic
953C2×C4⋊C4C23×C5911yescharacteristic
954C2×C4⋊C4C23×C5911yescharacteristic
955C2×C4⋊C4C23×C5911yescharacteristic
956C2×C4⋊C4C23×C5911yescharacteristic
957C2×C4⋊C4C23×C5911yescharacteristic
958C2×C4⋊C4C23×C5911yescharacteristic
959C2×C4⋊C4C23×C5911yescharacteristic
960C2×C4⋊C4C23×C5911yescharacteristic
961C2×C4⋊C4C23×C5911yescharacteristic
962C2×C4⋊C4C23×C5911yescharacteristic
963C2×C4⋊C4C23×C5911yescharacteristic
964C2×C4⋊C4C23×C5911yescharacteristic
965C2×C4⋊C4C23×C5911yescharacteristic
966C2×C4⋊C4C23×C5911yescharacteristic
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×C22⋊C4—24no—
990C2×C22⋊C4—24no—
991C2×C22⋊C4—42no—
992C2×C22⋊C4—42no—
993C2×C22⋊C4Q8×C5918yescomplemented
994C2×C22⋊C4C23×C5911yescharacteristic
995C2×C22⋊C4C23×C5911yescharacteristic
996C2×C22⋊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×C42C23×C5911yescharacteristic
1027C2×C42C23×C5911yescharacteristic
1028C2×C42C23×C5911yescharacteristic
1029C2×C42C23×C5911yescharacteristic
1030C2×C42C23×C5911yescharacteristic
1031C2×C42C23×C5911yescharacteristic
1032C2×C42C23×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
1042#95C23×C5911yescharacteristic
1043#95C23×C5911yescharacteristic
1044#95C23×C5911yescharacteristic
1045#95C23×C5911yescharacteristic
1046#95C23×C5911yescharacteristic
1047#95C23×C5911yescharacteristic
1048#95C23×C5911yescharacteristic
1049#95C23×C5911yescharacteristic
1050#95C23×C5911yescharacteristic
1051#95C23×C5911yescharacteristic
1052#95C23×C5911yescharacteristic
1053#95C23×C5911yescharacteristic
1054#95C23×C5911yescharacteristic
1055#95C23×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
1088C24—22no—
1089C24—22no—
1090C24—41no—
1091C24—41no—
1092C24—41no—
1093C24—41no—
1094C24C2×Q8×C5914yes—
1095C24C24×C5911yescharacteristic
1096C24C24×C5911yescharacteristic
1097C24C24×C5911yescharacteristic
1098C2×Q8—22no—
1099C2×Q8—22no—
1100C2×Q8—22no—
1101C2×Q8—22no—
1102C2×Q8—41no—
1103C2×Q8—41no—
1104C2×Q8—41no—
1105C2×Q8—41no—
1106C2×Q8—41no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—41no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—41no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4—41no—
1132C22×C4—41no—
1133C22×C4—41no—
1134C22×C4C2×Q8×C5914yes—
1135C22×C4C2×Q8×C5914yes—
1136C22×C4#41×C5914yes—
1137C22×C4C24×C5911yescharacteristic
1138C22×C4C24×C5911yescharacteristic
1139C22×C4C24×C5911yescharacteristic
1140C22×C4C24×C5911yescharacteristic
1141C22×C4C24×C5911yescharacteristic
1142C22×C4C24×C5911yescharacteristic
1143C22×C4C24×C5911yescharacteristic
1144C22×C4C24×C5911yescharacteristic
1145C22×C4C24×C5911yescharacteristic
1146C22×C4C24×C5911yescharacteristic
1147C22×C4C24×C5911yescharacteristic
1148C22×C4C24×C5911yescharacteristic
1149C22×C4C24×C5911yescharacteristic
1150C22×C4C24×C5911yescharacteristic
1151C22×C4C24×C5911yescharacteristic
1152C22×C4C24×C5911yescharacteristic
1153C22×C4C24×C5911yescharacteristic
1154C22×C4C24×C5911yescharacteristic
1155C22×C4C24×C5911yescharacteristic
1156C22×C4C24×C5911yescharacteristic
1157C22×C4C24×C5911yescharacteristic
1158C22×C4C24×C5911yescharacteristic
1159C22×C4C24×C5911yescharacteristic
1160C22×C4C24×C5911yescharacteristic
1161C22×C4C24×C5911yescharacteristic
1162C22×C4C24×C5911yescharacteristic
1163C22×C4C24×C5911yescharacteristic
1164C22×C4C24×C5911yescharacteristic
1165C4⋊C4—22no—
1166C4⋊C4—22no—
1167C4⋊C4—22no—
1168C4⋊C4—22no—
1169C4⋊C4—22no—
1170C4⋊C4—22no—
1171C4⋊C4—22no—
1172C4⋊C4—22no—
1173C4⋊C4—22no—
1174C4⋊C4—22no—
1175C4⋊C4—22no—
1176C4⋊C4—22no—
1177C4⋊C4—22no—
1178C4⋊C4—22no—
1179C4⋊C4—22no—
1180C4⋊C4—22no—
1181C4⋊C4—22no—
1182C4⋊C4—22no—
1183C4⋊C4—22no—
1184C4⋊C4—22no—
1185C4⋊C4—22no—
1186C4⋊C4—22no—
1187C4⋊C4—41no—
1188C4⋊C4—41no—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
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⋊C4—41no—
1210C4⋊C4—41no—
1211C4⋊C4—41no—
1212C22⋊C4—22no—
1213C22⋊C4—22no—
1214C22⋊C4—22no—
1215C22⋊C4—22no—
1216C22⋊C4—22no—
1217C22⋊C4—22no—
1218C22⋊C4—22no—
1219C22⋊C4—22no—
1220C22⋊C4—22no—
1221C22⋊C4—22no—
1222C22⋊C4—22no—
1223C22⋊C4—22no—
1224C22⋊C4—22no—
1225C22⋊C4—22no—
1226C22⋊C4—22no—
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⋊C4C2×Q8×C5914yes—
1240C22⋊C4C2×Q8×C5914yes—
1241C22⋊C4C2×Q8×C5914yes—
1242C22⋊C4C2×Q8×C5914yes—
1243C22⋊C4#41×C5914yes—
1244C42—22no—
1245C42—22no—
1246C42—41no—
1247C42—41no—
1248C42—41no—
1249C42—41no—
1250C42—41no—
1251C42—41no—
1252C42—41no—
1253C42—41no—
1254C42—41no—
1255C42—41no—
1256C42—41no—
1257C42—41no—
1258C42—41no—
1259C42—41no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—28no—
1277C23—44no—
1278C23—44no—
1279C23—82no—
1280C23—82no—
1281C23—82no—
1282C23—82no—
1283C23C22×Q8×C5912yes—
1284C23C22×Q8×C5912yes—
1285C23C22×Q8×C5912yes—
1286C23C2×#41×C5912yes—
1287C23C2×#41×C5912yes—
1288C23C25×C5911yescharacteristic
1289Q8—44no—
1290Q8—44no—
1291Q8—82no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
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—44no—
1367C2×C4—44no—
1368C2×C4—44no—
1369C2×C4—44no—
1370C2×C4—44no—
1371C2×C4—82no—
1372C2×C4—82no—
1373C2×C4—82no—
1374C2×C4—82no—
1375C2×C4—82no—
1376C2×C4C22×Q8×C5912yes—
1377C2×C4C22×Q8×C5912yes—
1378C2×C4C22×Q8×C5912yes—
1379C2×C4C22×Q8×C5912yes—
1380C2×C4C2×#41×C5912yes—
1381C2×C4C2×#41×C5912yes—
1382C2×C4C2×#41×C5912yes—
1383C2×C4C2×#41×C5912yes—
1384C2×C4H(5,𝔽2)×C5912yes—
1385C2×C4H(5,𝔽2)×C5912yes—
1386C22—22no—
1387C22—22no—
1388C22—22no—
1389C22—22no—
1390C22—22no—
1391C22—22no—
1392C22—22no—
1393C22—22no—
1394C22—22no—
1395C22—22no—
1396C22—22no—
1397C22—22no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—88no—
1407C22C59×#53314yes—
1408C22C23×Q8×C5911yescharacteristic
1409C22C22×#41×C5911yescharacteristic
1410C22C22×#41×C5911yescharacteristic
1411C22C2×H(5,𝔽2)×C5911yescharacteristic
1412C22C2×H(5,𝔽2)×C5911yescharacteristic
1413C22C59×#58511yescharacteristic
1414C22C59×#58511yescharacteristic
1415C4—22no—
1416C4—22no—
1417C4—22no—
1418C4—22no—
1419C4—22no—
1420C4—22no—
1421C4—22no—
1422C4—22no—
1423C4—22no—
1424C4—22no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C4—41no—
1435C4—41no—
1436C4—41no—
1437C4—41no—
1438C4—41no—
1439C4—41no—
1440C4—41no—
1441C4—41no—
1442C4—41no—
1443C2—24no—
1444C2—42no—
1445C2—42no—
1446C2C2×C59×#53311yescharacteristic
1447C2C59×#349411yescharacteristic
1448C2C59×#350111yescharacteristic
1449C2C59×#350111yescharacteristic
1450C2C59×#350511yescharacteristic
1451C2C59×#351911yescharacteristic
1452C2C59×#352111yescharacteristic
subgroupG/H
center, socleC23×C59C25
commutator, Frattini, cosocleC23C25×C59
prime radicalC25×C59C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C59 ◁ G

Complements

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

NH ≅ G/Ntype
1. C59×#2667C2semidirect
2. C59×#2665C2semidirect
4. C59×#2608C2semidirect
5. C59×#2608C2semidirect
6. C59×#2587C2semidirect
7. C59×#2587C2semidirect
8. C59×#2583C2semidirect
9. C59×#2574C2semidirect
10. C59×#2556C2semidirect
11. C59×#2522C2semidirect
12. C59×#2505C2semidirect
13. C59×#2497C2semidirect
14. C59×#2473C2semidirect
15. C59×#2465C2semidirect
16. C59×#2441C2semidirect
17. C59×#2440C2semidirect
18. C59×#2439C2semidirect
21. C59×#2429C2semidirect
22. C59×#2396C2semidirect
23. C59×#2396C2semidirect
25. C59×#2368C2semidirect
26. C59×#2360C2semidirect
27. C59×#2360C2semidirect
28. C59×#2345C2semidirect
32. C2×C4⋊Q8×C59C22semidirect
33. C2×#125×C59C22semidirect
39. C2×C4×Q8×C59C22semidirect
40. C2×C4×Q8×C59C22semidirect
51. C59×#400C22semidirect
52. C59×#400C22semidirect
53. C59×#400C22semidirect
54. C59×#400C22semidirect
59. C59×#398C22semidirect
60. C59×#398C22semidirect
61. C59×#398C22semidirect
62. C59×#398C22semidirect
63. C59×#398C22semidirect
64. C59×#398C22semidirect
65. C59×#398C22semidirect
66. C59×#398C22semidirect
83. C59×#395C22semidirect
84. C59×#395C22semidirect
85. C59×#395C22semidirect
86. C59×#395C22semidirect
91. C59×#391C22semidirect
92. C59×#391C22semidirect
93. C59×#391C22semidirect
94. C59×#391C22semidirect
95. C59×#389C22semidirect
96. C59×#389C22semidirect
97. C59×#389C22semidirect
98. C59×#389C22semidirect
99. C59×#389C22semidirect
100. C59×#389C22semidirect
101. C59×#389C22semidirect
102. C59×#389C22semidirect
103. C59×#389C22semidirect
104. C59×#389C22semidirect
105. C59×#389C22semidirect
106. C59×#389C22semidirect
107. C59×#389C22semidirect
108. C59×#389C22semidirect
109. C59×#389C22semidirect
110. C59×#389C22semidirect
119. C59×#387C22semidirect
120. C59×#387C22semidirect
121. C59×#387C22semidirect
122. C59×#387C22semidirect
123. C59×#387C22semidirect
124. C59×#387C22semidirect
125. C59×#387C22semidirect
126. C59×#387C22semidirect
127. C59×#387C22semidirect
128. C59×#387C22semidirect
129. C59×#387C22semidirect
130. C59×#387C22semidirect
131. C59×#387C22semidirect
132. C59×#387C22semidirect
133. C59×#387C22semidirect
134. C59×#387C22semidirect
149. C59×#384C22semidirect
150. C59×#382C22semidirect
162. C4×C4⋊C4×C59C22semidirect
163. C4×C4⋊C4×C59C22semidirect
164. C4×C4⋊C4×C59C22semidirect
165. C4×C4⋊C4×C59C22semidirect
166. C4×C4⋊C4×C59C22semidirect
167. C4×C4⋊C4×C59C22semidirect
266. C2×C22⋊C4×C59Q8semidirect
659. #35779C59direct (N × H)
717. #2667C2×C59semidirect
718. #2665C2×C59semidirect
720. #2608C2×C59semidirect
721. #2608C2×C59semidirect
722. #2587C2×C59semidirect
723. #2587C2×C59semidirect
724. #2583C2×C59semidirect
725. #2574C2×C59semidirect
726. #2556C2×C59semidirect
727. #2522C2×C59semidirect
728. #2505C2×C59semidirect
729. #2497C2×C59semidirect
730. #2473C2×C59semidirect
731. #2465C2×C59semidirect
732. #2441C2×C59semidirect
733. #2440C2×C59semidirect
734. #2439C2×C59semidirect
737. #2429C2×C59semidirect
738. #2396C2×C59semidirect
739. #2396C2×C59semidirect
741. #2368C2×C59semidirect
742. #2360C2×C59semidirect
743. #2360C2×C59semidirect
744. #2345C2×C59semidirect
758. C2×C4⋊Q8C22×C59semidirect
759. C2×#125C22×C59semidirect
765. C2×C4×Q8C22×C59semidirect
766. C2×C4×Q8C22×C59semidirect
777. #400C22×C59semidirect
778. #400C22×C59semidirect
779. #400C22×C59semidirect
780. #400C22×C59semidirect
785. #398C22×C59semidirect
786. #398C22×C59semidirect
787. #398C22×C59semidirect
788. #398C22×C59semidirect
789. #398C22×C59semidirect
790. #398C22×C59semidirect
791. #398C22×C59semidirect
792. #398C22×C59semidirect
809. #395C22×C59semidirect
810. #395C22×C59semidirect
811. #395C22×C59semidirect
812. #395C22×C59semidirect
817. #391C22×C59semidirect
818. #391C22×C59semidirect
819. #391C22×C59semidirect
820. #391C22×C59semidirect
821. #389C22×C59semidirect
822. #389C22×C59semidirect
823. #389C22×C59semidirect
824. #389C22×C59semidirect
825. #389C22×C59semidirect
826. #389C22×C59semidirect
827. #389C22×C59semidirect
828. #389C22×C59semidirect
829. #389C22×C59semidirect
830. #389C22×C59semidirect
831. #389C22×C59semidirect
832. #389C22×C59semidirect
833. #389C22×C59semidirect
834. #389C22×C59semidirect
835. #389C22×C59semidirect
836. #389C22×C59semidirect
845. #387C22×C59semidirect
846. #387C22×C59semidirect
847. #387C22×C59semidirect
848. #387C22×C59semidirect
849. #387C22×C59semidirect
850. #387C22×C59semidirect
851. #387C22×C59semidirect
852. #387C22×C59semidirect
853. #387C22×C59semidirect
854. #387C22×C59semidirect
855. #387C22×C59semidirect
856. #387C22×C59semidirect
857. #387C22×C59semidirect
858. #387C22×C59semidirect
859. #387C22×C59semidirect
860. #387C22×C59semidirect
875. #384C22×C59semidirect
876. #382C22×C59semidirect
888. C4×C4⋊C4C22×C59semidirect
889. C4×C4⋊C4C22×C59semidirect
890. C4×C4⋊C4C22×C59semidirect
891. C4×C4⋊C4C22×C59semidirect
892. C4×C4⋊C4C22×C59semidirect
893. C4×C4⋊C4C22×C59semidirect
913. C59#35779direct (N × H)
993. C2×C22⋊C4Q8×C59semidirect

Maximal subgroups

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

subgroupindex
C59×#26672
C59×#26652
C59×#26262
C59×#26082
C59×#25872
C59×#25832
C59×#25742
C59×#25562
C59×#25222
C59×#25052
C59×#24972
C59×#24732
C59×#24652
C59×#24412
C59×#24402
C59×#24392
C59×#24372
C59×#24292
C59×#23962
C2×C59×#3962
C59×#23682
C59×#23602
C59×#23452
C59×#23422
C59×#22732
#3577959