Finite Group Databasebeta

← C59×#35402 #28447511

Subgroups — C59×#35402 #28447511

Order 15104.

1882 conjugacy classes of subgroups.

The subgroup lattice has 1456 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C59×#2589C211yesmaximal, characteristic, complemented
2C59×#2589C211yesmaximal, characteristic, complemented
3C59×#2587C211yesmaximal, characteristic, complemented
4C59×#2587C211yesmaximal, characteristic, complemented
5C59×#2574C211yesmaximal, characteristic, complemented
6C59×#2574C211yesmaximal, characteristic, complemented
7C59×#2569C211yesmaximal, characteristic, complemented
8C59×#2556C211yesmaximal, characteristic, complemented
9C59×#2556C211yesmaximal, characteristic, complemented
10C59×#2549C211yesmaximal, characteristic, complemented
11C59×#2522C211yesmaximal, characteristic, complemented
12C59×#2522C211yesmaximal, characteristic, complemented
13C59×#2497C211yesmaximal, characteristic, complemented
14C59×#2492C211yesmaximal, characteristic, complemented
15C59×#2465C211yesmaximal, characteristic, complemented
16C59×#2465C211yesmaximal, characteristic, complemented
17C59×#2442C211yesmaximal, characteristic, complemented
18C59×#2440C211yesmaximal, characteristic, complemented
19C59×#2437C211yesmaximal, characteristic
20C59×#2437C211yesmaximal, characteristic
21C59×#2437C211yesmaximal, characteristic
22C59×#2437C211yesmaximal, characteristic
23C59×#2429C211yesmaximal, characteristic, complemented
24C59×#2423C211yesmaximal, characteristic, complemented
25C59×#2329C211yesmaximal, characteristic, complemented
26C59×#2329C211yesmaximal, characteristic, complemented
27C59×#2312C211yesmaximal, characteristic
28C4×C22⋊Q8×C59C211yesmaximal, characteristic, complemented
29C4×C22⋊Q8×C59C211yesmaximal, characteristic, complemented
30C2×C59×#388C211yesmaximal, 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×C22⋊Q8×C59C2211yescharacteristic
40C2×C22⋊Q8×C59C2211yescharacteristic
41C2×C22⋊Q8×C59C2211yescharacteristic
42C2×C4×Q8×C59C2211yescharacteristic, complemented
43C2×C4×Q8×C59C2211yescharacteristic, complemented
44C22×C4⋊C4×C59C2211yescharacteristic
45C22×C22⋊C4×C59C2211yescharacteristic
46C22×C22⋊C4×C59C2211yescharacteristic
47C22×C22⋊C4×C59C2211yescharacteristic
48C22×C22⋊C4×C59C2211yescharacteristic
49C22×C22⋊C4×C59C2211yescharacteristic
50C22×C42×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×#395C2211yescharacteristic, complemented
76C59×#395C2211yescharacteristic, complemented
77C59×#395C2211yescharacteristic, complemented
78C59×#395C2211yescharacteristic, complemented
79C59×#393C2211yescharacteristic
80C59×#393C2211yescharacteristic
81C59×#393C2211yescharacteristic
82C59×#393C2211yescharacteristic
83C59×#391C2211yescharacteristic, complemented
84C59×#391C2211yescharacteristic, complemented
85C59×#391C2211yescharacteristic, complemented
86C59×#391C2211yescharacteristic, complemented
87C59×#391C2211yescharacteristic, complemented
88C59×#391C2211yescharacteristic, complemented
89C59×#391C2211yescharacteristic, complemented
90C59×#391C2211yescharacteristic, complemented
91C59×#389C2211yescharacteristic, complemented
92C59×#389C2211yescharacteristic, complemented
93C59×#389C2211yescharacteristic, complemented
94C59×#389C2211yescharacteristic, 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×#388C2211yescharacteristic
104C59×#388C2211yescharacteristic
105C59×#388C2211yescharacteristic
106C59×#388C2211yescharacteristic
107C59×#388C2211yescharacteristic
108C59×#388C2211yescharacteristic
109C59×#388C2211yescharacteristic
110C59×#388C2211yescharacteristic
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×#385C2211yescharacteristic
150C59×#385C2211yescharacteristic
151C59×#384C2211yescharacteristic, complemented
152C59×#382C2211yescharacteristic, complemented
153C59×#380C2211yescharacteristic
154C59×#380C2211yescharacteristic
155C59×#380C2211yescharacteristic
156C59×#380C2211yescharacteristic
157C59×#380C2211yescharacteristic
158C59×#380C2211yescharacteristic
159C59×#380C2211yescharacteristic
160C59×#380C2211yescharacteristic
161C59×#380C2211yescharacteristic
162C59×#380C2211yescharacteristic
163C59×#379C2211yescharacteristic
164C59×#379C2211yescharacteristic
165C4×C4⋊C4×C59C2211yescharacteristic, complemented
166C4×C4⋊C4×C59C2211yescharacteristic, complemented
167C4×C4⋊C4×C59C2211yescharacteristic, complemented
168C4×C4⋊C4×C59C2211yescharacteristic, complemented
169C4×C4⋊C4×C59C2211yescharacteristic, complemented
170C4×C4⋊C4×C59C2211yescharacteristic, complemented
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
185C2×#95×C59C2211yescharacteristic
186C2×#95×C59C2211yescharacteristic
187C25×C59C2311yescharacteristic
188C22×Q8×C59C2311yescharacteristic
189C22×Q8×C59C2311yescharacteristic
190C22×Q8×C59C2311yescharacteristic
191C22×Q8×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
201C23×C4×C59C2311yescharacteristic
202C4⋊Q8×C59—42no—
203#125×C59—42no—
204C22⋊Q8×C59—24no—
205C22⋊Q8×C59—24no—
206C22⋊Q8×C59—24no—
207C22⋊Q8×C59—24no—
208C22⋊Q8×C59—42no—
209C22⋊Q8×C59—42no—
210C22⋊Q8×C59—42no—
211C22⋊Q8×C59—42no—
212C4×Q8×C59—42no—
213C4×Q8×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×C22⋊C4×C59—24no—
260C2×C22⋊C4×C59—24no—
261C2×C22⋊C4×C59—42no—
262C2×C22⋊C4×C59—42no—
263C2×C22⋊C4×C59Q818yescomplemented
264C2×C22⋊C4×C59C2311yescharacteristic
265C2×C22⋊C4×C59C2311yescharacteristic
266C2×C22⋊C4×C59C2311yescharacteristic
267C2×C22⋊C4×C59C2311yescharacteristic
268C2×C22⋊C4×C59C2311yescharacteristic
269C2×C22⋊C4×C59C2311yescharacteristic
270C2×C22⋊C4×C59C2311yescharacteristic
271C2×C22⋊C4×C59C2311yescharacteristic
272C2×C22⋊C4×C59C2311yescharacteristic
273C2×C22⋊C4×C59C2311yescharacteristic
274C2×C22⋊C4×C59C2311yescharacteristic
275C2×C22⋊C4×C59C2311yescharacteristic
276C2×C22⋊C4×C59C2311yescharacteristic
277C2×C22⋊C4×C59C2311yescharacteristic
278C2×C22⋊C4×C59C2311yescharacteristic
279C2×C22⋊C4×C59C2311yescharacteristic
280C2×C22⋊C4×C59C2311yescharacteristic
281C2×C22⋊C4×C59C2311yescharacteristic
282C2×C22⋊C4×C59C2311yescharacteristic
283C2×C22⋊C4×C59C2311yescharacteristic
284C2×C22⋊C4×C59C2311yescharacteristic
285C2×C22⋊C4×C59C2311yescharacteristic
286C2×C22⋊C4×C59C2311yescharacteristic
287C2×C22⋊C4×C59C2311yescharacteristic
288C2×C22⋊C4×C59C2311yescharacteristic
289C2×C22⋊C4×C59C2311yescharacteristic
290C2×C22⋊C4×C59C2311yescharacteristic
291C2×C22⋊C4×C59C2311yescharacteristic
292C2×C22⋊C4×C59C2311yescharacteristic
293C2×C22⋊C4×C59C2311yescharacteristic
294C2×C22⋊C4×C59C2311yescharacteristic
295C2×C22⋊C4×C59C2311yescharacteristic
296C2×C42×C59—42no—
297C2×C42×C59C2311yescharacteristic
298C2×C42×C59C2311yescharacteristic
299C2×C42×C59C2311yescharacteristic
300C2×C42×C59C2311yescharacteristic
301C2×C42×C59C2311yescharacteristic
302C2×C42×C59C2311yescharacteristic
303C2×C42×C59C2311yescharacteristic
304C2×C42×C59C2311yescharacteristic
305C2×C42×C59C2311yescharacteristic
306C2×C42×C59C2311yescharacteristic
307C2×C42×C59C2311yescharacteristic
308C2×C42×C59C2311yescharacteristic
309C2×C42×C59C2311yescharacteristic
310C2×C42×C59C2311yescharacteristic
311C2×C42×C59C2311yescharacteristic
312C2×C42×C59C2311yescharacteristic
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
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—22no—
376C2×Q8×C59—22no—
377C2×Q8×C59—41no—
378C2×Q8×C59—41no—
379C2×Q8×C59—41no—
380C2×Q8×C59—41no—
381C2×Q8×C59—41no—
382C2×Q8×C59—41no—
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—22no—
390C22×C4×C59—22no—
391C22×C4×C59—22no—
392C22×C4×C59—22no—
393C22×C4×C59—41no—
394C22×C4×C59—41no—
395C22×C4×C59—41no—
396C22×C4×C59—41no—
397C22×C4×C59—41no—
398C22×C4×C59—41no—
399C22×C4×C59—41no—
400C22×C4×C59—41no—
401C22×C4×C59—41no—
402C22×C4×C59—41no—
403C22×C4×C59—41no—
404C22×C4×C59—41no—
405C22×C4×C59—41no—
406C22×C4×C59—41no—
407C22×C4×C59—41no—
408C22×C4×C59—41no—
409C22×C4×C59—41no—
410C22×C4×C59—41no—
411C22×C4×C59C2×Q814yes—
412C22×C4×C59C2×Q814yes—
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
438C22×C4×C59C2411yescharacteristic
439C22×C4×C59C2411yescharacteristic
440C22×C4×C59C2411yescharacteristic
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—22no—
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—41no—
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×C59C2×Q814yes—
512C22⋊C4×C59C2×Q814yes—
513C22⋊C4×C59C2×Q814yes—
514C22⋊C4×C59C2×Q814yes—
515C22⋊C4×C59#4114yes—
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—
565Q8×C59—82no—
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—21no—
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×C59—82no—
650C2×C4×C59C22×Q812yes—
651C2×C4×C59C22×Q812yes—
652C2×C4×C59C22×Q812yes—
653C2×C4×C59C22×Q812yes—
654C2×C4×C59C2×#4112yes—
655C2×C4×C59C2×#4112yes—
656C2×C4×C59C2×#4112yes—
657C2×C4×C59C2×#4112yes—
658C2×C4×C59H(5,𝔽2)12yes—
659C2×C4×C59H(5,𝔽2)12yes—
660#35402C5911yesmaximal, characteristic, direct product factor, Sylow
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—22no—
673C22×C59—41no—
674C22×C59—41no—
675C22×C59—41no—
676C22×C59—41no—
677C22×C59—41no—
678C22×C59—41no—
679C22×C59—41no—
680C22×C59—41no—
681C22×C59—88no—
682C22×C59#53314yes—
683C22×C59C23×Q811yescharacteristic
684C22×C59C22×#4111yescharacteristic
685C22×C59C22×#4111yescharacteristic
686C22×C59C2×H(5,𝔽2)11yescharacteristic
687C22×C59C2×H(5,𝔽2)11yescharacteristic
688C22×C59#58511yescharacteristic
689C22×C59#58511yescharacteristic
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—22no—
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—
717C4×C59—41no—
718#2589C2×C5911yescharacteristic, complemented
719#2589C2×C5911yescharacteristic, complemented
720#2587C2×C5911yescharacteristic, complemented
721#2587C2×C5911yescharacteristic, complemented
722#2574C2×C5911yescharacteristic, complemented
723#2574C2×C5911yescharacteristic, complemented
724#2569C2×C5911yescharacteristic, complemented
725#2556C2×C5911yescharacteristic, complemented
726#2556C2×C5911yescharacteristic, complemented
727#2549C2×C5911yescharacteristic, complemented
728#2522C2×C5911yescharacteristic, complemented
729#2522C2×C5911yescharacteristic, complemented
730#2497C2×C5911yescharacteristic, complemented
731#2492C2×C5911yescharacteristic, complemented
732#2465C2×C5911yescharacteristic, complemented
733#2465C2×C5911yescharacteristic, complemented
734#2442C2×C5911yescharacteristic, complemented
735#2440C2×C5911yescharacteristic, complemented
736#2437C2×C5911yescharacteristic
737#2437C2×C5911yescharacteristic
738#2437C2×C5911yescharacteristic
739#2437C2×C5911yescharacteristic
740#2429C2×C5911yescharacteristic, complemented
741#2423C2×C5911yescharacteristic, complemented
742#2329C2×C5911yescharacteristic, complemented
743#2329C2×C5911yescharacteristic, complemented
744#2312C2×C5911yescharacteristic
745C4×C22⋊Q8C2×C5911yescharacteristic, complemented
746C4×C22⋊Q8C2×C5911yescharacteristic, complemented
747C2×#388C2×C5911yescharacteristic
748#2273C2×C5911yescharacteristic
749C2×C59—24no—
750C2×C59—42no—
751C2×C59—42no—
752C2×C59C2×#53311yescharacteristic
753C2×C59#350111yescharacteristic
754C2×C59#350111yescharacteristic
755C2×C59#351311yescharacteristic
756C2×C59#351411yescharacteristic
757C2×C59#351911yescharacteristic
758C2×C59#352111yescharacteristic
759C2×C4⋊Q8C22×C5911yescharacteristic, complemented
760C2×#125C22×C5911yescharacteristic, complemented
761C2×C22⋊Q8C22×C5911yescharacteristic
762C2×C22⋊Q8C22×C5911yescharacteristic
763C2×C22⋊Q8C22×C5911yescharacteristic
764C2×C22⋊Q8C22×C5911yescharacteristic
765C2×C22⋊Q8C22×C5911yescharacteristic
766C2×C22⋊Q8C22×C5911yescharacteristic
767C2×C22⋊Q8C22×C5911yescharacteristic
768C2×C22⋊Q8C22×C5911yescharacteristic
769C2×C4×Q8C22×C5911yescharacteristic, complemented
770C2×C4×Q8C22×C5911yescharacteristic, complemented
771C22×C4⋊C4C22×C5911yescharacteristic
772C22×C22⋊C4C22×C5911yescharacteristic
773C22×C22⋊C4C22×C5911yescharacteristic
774C22×C22⋊C4C22×C5911yescharacteristic
775C22×C22⋊C4C22×C5911yescharacteristic
776C22×C22⋊C4C22×C5911yescharacteristic
777C22×C42C22×C5911yescharacteristic
778#400C22×C5911yescharacteristic, complemented
779#400C22×C5911yescharacteristic, complemented
780#400C22×C5911yescharacteristic, complemented
781#400C22×C5911yescharacteristic, complemented
782#399C22×C5911yescharacteristic
783#399C22×C5911yescharacteristic
784#399C22×C5911yescharacteristic
785#399C22×C5911yescharacteristic
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#398C22×C5911yescharacteristic, complemented
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#395C22×C5911yescharacteristic, complemented
803#395C22×C5911yescharacteristic, complemented
804#395C22×C5911yescharacteristic, complemented
805#395C22×C5911yescharacteristic, complemented
806#393C22×C5911yescharacteristic
807#393C22×C5911yescharacteristic
808#393C22×C5911yescharacteristic
809#393C22×C5911yescharacteristic
810#391C22×C5911yescharacteristic, complemented
811#391C22×C5911yescharacteristic, complemented
812#391C22×C5911yescharacteristic, complemented
813#391C22×C5911yescharacteristic, complemented
814#391C22×C5911yescharacteristic, complemented
815#391C22×C5911yescharacteristic, complemented
816#391C22×C5911yescharacteristic, complemented
817#391C22×C5911yescharacteristic, complemented
818#389C22×C5911yescharacteristic, complemented
819#389C22×C5911yescharacteristic, complemented
820#389C22×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#388C22×C5911yescharacteristic
831#388C22×C5911yescharacteristic
832#388C22×C5911yescharacteristic
833#388C22×C5911yescharacteristic
834#388C22×C5911yescharacteristic
835#388C22×C5911yescharacteristic
836#388C22×C5911yescharacteristic
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#388C22×C5911yescharacteristic
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#387C22×C5911yescharacteristic, complemented
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#385C22×C5911yescharacteristic
876#385C22×C5911yescharacteristic
877#385C22×C5911yescharacteristic
878#384C22×C5911yescharacteristic, complemented
879#382C22×C5911yescharacteristic, complemented
880#380C22×C5911yescharacteristic
881#380C22×C5911yescharacteristic
882#380C22×C5911yescharacteristic
883#380C22×C5911yescharacteristic
884#380C22×C5911yescharacteristic
885#380C22×C5911yescharacteristic
886#380C22×C5911yescharacteristic
887#380C22×C5911yescharacteristic
888#380C22×C5911yescharacteristic
889#380C22×C5911yescharacteristic
890#379C22×C5911yescharacteristic
891#379C22×C5911yescharacteristic
892C4×C4⋊C4C22×C5911yescharacteristic, complemented
893C4×C4⋊C4C22×C5911yescharacteristic, complemented
894C4×C4⋊C4C22×C5911yescharacteristic, complemented
895C4×C4⋊C4C22×C5911yescharacteristic, complemented
896C4×C4⋊C4C22×C5911yescharacteristic, complemented
897C4×C4⋊C4C22×C5911yescharacteristic, complemented
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
913C2×#95C22×C5911yescharacteristic
914C59#3540211yescharacteristic, direct product factor, Sylow
915C25C23×C5911yescharacteristic
916C22×Q8C23×C5911yescharacteristic
917C22×Q8C23×C5911yescharacteristic
918C22×Q8C23×C5911yescharacteristic
919C22×Q8C23×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
928C23×C4C23×C5911yescharacteristic
929C23×C4C23×C5911yescharacteristic
930C4⋊Q8—42no—
931#125—42no—
932C22⋊Q8—24no—
933C22⋊Q8—24no—
934C22⋊Q8—24no—
935C22⋊Q8—24no—
936C22⋊Q8—42no—
937C22⋊Q8—42no—
938C22⋊Q8—42no—
939C22⋊Q8—42no—
940C4×Q8—42no—
941C4×Q8—42no—
942C2×C4⋊C4—42no—
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×C22⋊C4—24no—
988C2×C22⋊C4—24no—
989C2×C22⋊C4—42no—
990C2×C22⋊C4—42no—
991C2×C22⋊C4Q8×C5918yescomplemented
992C2×C22⋊C4C23×C5911yescharacteristic
993C2×C22⋊C4C23×C5911yescharacteristic
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×C42—42no—
1025C2×C42C23×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
1041#95C23×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
1088#95C23×C5911yescharacteristic
1089C24—22no—
1090C24—22no—
1091C24—41no—
1092C24—41no—
1093C24—41no—
1094C24—41no—
1095C24C2×Q8×C5914yes—
1096C24C24×C5911yescharacteristic
1097C24C24×C5911yescharacteristic
1098C24C24×C5911yescharacteristic
1099C2×Q8—22no—
1100C2×Q8—22no—
1101C2×Q8—22no—
1102C2×Q8—22no—
1103C2×Q8—22no—
1104C2×Q8—22no—
1105C2×Q8—41no—
1106C2×Q8—41no—
1107C2×Q8—41no—
1108C2×Q8—41no—
1109C2×Q8—41no—
1110C2×Q8—41no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—22no—
1120C22×C4—22no—
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×C4—41no—
1135C22×C4—41no—
1136C22×C4—41no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4C2×Q8×C5914yes—
1140C22×C4C2×Q8×C5914yes—
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
1165C22×C4C24×C5911yescharacteristic
1166C22×C4C24×C5911yescharacteristic
1167C22×C4C24×C5911yescharacteristic
1168C22×C4C24×C5911yescharacteristic
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—22no—
1188C4⋊C4—22no—
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—
1212C4⋊C4—41no—
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—
1244C22⋊C4#41×C5914yes—
1245C42—22no—
1246C42—22no—
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—
1260C42—41no—
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—21no—
1277C23—28no—
1278C23—44no—
1279C23—44no—
1280C23—82no—
1281C23—82no—
1282C23—82no—
1283C23—82no—
1284C23C22×Q8×C5912yes—
1285C23C22×Q8×C5912yes—
1286C23C22×Q8×C5912yes—
1287C23C2×#41×C5912yes—
1288C23C2×#41×C5912yes—
1289C23C25×C5911yescharacteristic
1290Q8—44no—
1291Q8—44no—
1292Q8—82no—
1293Q8—82no—
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—21no—
1367C2×C4—21no—
1368C2×C4—44no—
1369C2×C4—44no—
1370C2×C4—44no—
1371C2×C4—44no—
1372C2×C4—82no—
1373C2×C4—82no—
1374C2×C4—82no—
1375C2×C4—82no—
1376C2×C4—82no—
1377C2×C4—82no—
1378C2×C4C22×Q8×C5912yes—
1379C2×C4C22×Q8×C5912yes—
1380C2×C4C22×Q8×C5912yes—
1381C2×C4C22×Q8×C5912yes—
1382C2×C4C2×#41×C5912yes—
1383C2×C4C2×#41×C5912yes—
1384C2×C4C2×#41×C5912yes—
1385C2×C4C2×#41×C5912yes—
1386C2×C4H(5,𝔽2)×C5912yes—
1387C2×C4H(5,𝔽2)×C5912yes—
1388C22—22no—
1389C22—22no—
1390C22—22no—
1391C22—22no—
1392C22—22no—
1393C22—22no—
1394C22—22no—
1395C22—22no—
1396C22—22no—
1397C22—22no—
1398C22—22no—
1399C22—22no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—41no—
1407C22—41no—
1408C22—88no—
1409C22C59×#53314yes—
1410C22C23×Q8×C5911yescharacteristic
1411C22C22×#41×C5911yescharacteristic
1412C22C22×#41×C5911yescharacteristic
1413C22C2×H(5,𝔽2)×C5911yescharacteristic
1414C22C2×H(5,𝔽2)×C5911yescharacteristic
1415C22C59×#58511yescharacteristic
1416C22C59×#58511yescharacteristic
1417C4—22no—
1418C4—22no—
1419C4—22no—
1420C4—22no—
1421C4—22no—
1422C4—22no—
1423C4—22no—
1424C4—22no—
1425C4—22no—
1426C4—22no—
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—
1443C4—41no—
1444C4—41no—
1445C2—24no—
1446C2—42no—
1447C2—42no—
1448C2C2×C59×#53311yescharacteristic
1449C2C59×#350111yescharacteristic
1450C2C59×#350111yescharacteristic
1451C2C59×#351311yescharacteristic
1452C2C59×#351411yescharacteristic
1453C2C59×#351911yescharacteristic
1454C2C59×#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×#2589C2semidirect
2. C59×#2589C2semidirect
3. C59×#2587C2semidirect
4. C59×#2587C2semidirect
5. C59×#2574C2semidirect
6. C59×#2574C2semidirect
7. C59×#2569C2semidirect
8. C59×#2556C2semidirect
9. C59×#2556C2semidirect
10. C59×#2549C2semidirect
11. C59×#2522C2semidirect
12. C59×#2522C2semidirect
13. C59×#2497C2semidirect
14. C59×#2492C2semidirect
15. C59×#2465C2semidirect
16. C59×#2465C2semidirect
17. C59×#2442C2semidirect
18. C59×#2440C2semidirect
23. C59×#2429C2semidirect
24. C59×#2423C2semidirect
25. C59×#2329C2semidirect
26. C59×#2329C2semidirect
28. C4×C22⋊Q8×C59C2semidirect
29. C4×C22⋊Q8×C59C2semidirect
32. C2×C4⋊Q8×C59C22semidirect
33. C2×#125×C59C22semidirect
42. C2×C4×Q8×C59C22semidirect
43. 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
75. C59×#395C22semidirect
76. C59×#395C22semidirect
77. C59×#395C22semidirect
78. C59×#395C22semidirect
83. C59×#391C22semidirect
84. C59×#391C22semidirect
85. C59×#391C22semidirect
86. C59×#391C22semidirect
87. C59×#391C22semidirect
88. C59×#391C22semidirect
89. C59×#391C22semidirect
90. C59×#391C22semidirect
91. C59×#389C22semidirect
92. C59×#389C22semidirect
93. C59×#389C22semidirect
94. C59×#389C22semidirect
95. C59×#389C22semidirect
96. C59×#389C22semidirect
97. C59×#389C22semidirect
98. C59×#389C22semidirect
99. C59×#389C22semidirect
100. C59×#389C22semidirect
101. C59×#389C22semidirect
102. 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
151. C59×#384C22semidirect
152. C59×#382C22semidirect
165. C4×C4⋊C4×C59C22semidirect
166. C4×C4⋊C4×C59C22semidirect
167. C4×C4⋊C4×C59C22semidirect
168. C4×C4⋊C4×C59C22semidirect
169. C4×C4⋊C4×C59C22semidirect
170. C4×C4⋊C4×C59C22semidirect
263. C2×C22⋊C4×C59Q8semidirect
660. #35402C59direct (N × H)
718. #2589C2×C59semidirect
719. #2589C2×C59semidirect
720. #2587C2×C59semidirect
721. #2587C2×C59semidirect
722. #2574C2×C59semidirect
723. #2574C2×C59semidirect
724. #2569C2×C59semidirect
725. #2556C2×C59semidirect
726. #2556C2×C59semidirect
727. #2549C2×C59semidirect
728. #2522C2×C59semidirect
729. #2522C2×C59semidirect
730. #2497C2×C59semidirect
731. #2492C2×C59semidirect
732. #2465C2×C59semidirect
733. #2465C2×C59semidirect
734. #2442C2×C59semidirect
735. #2440C2×C59semidirect
740. #2429C2×C59semidirect
741. #2423C2×C59semidirect
742. #2329C2×C59semidirect
743. #2329C2×C59semidirect
745. C4×C22⋊Q8C2×C59semidirect
746. C4×C22⋊Q8C2×C59semidirect
759. C2×C4⋊Q8C22×C59semidirect
760. C2×#125C22×C59semidirect
769. C2×C4×Q8C22×C59semidirect
770. C2×C4×Q8C22×C59semidirect
778. #400C22×C59semidirect
779. #400C22×C59semidirect
780. #400C22×C59semidirect
781. #400C22×C59semidirect
786. #398C22×C59semidirect
787. #398C22×C59semidirect
788. #398C22×C59semidirect
789. #398C22×C59semidirect
790. #398C22×C59semidirect
791. #398C22×C59semidirect
792. #398C22×C59semidirect
793. #398C22×C59semidirect
802. #395C22×C59semidirect
803. #395C22×C59semidirect
804. #395C22×C59semidirect
805. #395C22×C59semidirect
810. #391C22×C59semidirect
811. #391C22×C59semidirect
812. #391C22×C59semidirect
813. #391C22×C59semidirect
814. #391C22×C59semidirect
815. #391C22×C59semidirect
816. #391C22×C59semidirect
817. #391C22×C59semidirect
818. #389C22×C59semidirect
819. #389C22×C59semidirect
820. #389C22×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
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
861. #387C22×C59semidirect
878. #384C22×C59semidirect
879. #382C22×C59semidirect
892. C4×C4⋊C4C22×C59semidirect
893. C4×C4⋊C4C22×C59semidirect
894. C4×C4⋊C4C22×C59semidirect
895. C4×C4⋊C4C22×C59semidirect
896. C4×C4⋊C4C22×C59semidirect
897. C4×C4⋊C4C22×C59semidirect
914. C59#35402direct (N × H)
991. 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×#25892
C59×#25872
C59×#25742
C59×#25692
C59×#25562
C59×#25492
C59×#25222
C59×#24972
C59×#24922
C59×#24652
C59×#24422
C59×#24402
C59×#24372
C59×#24292
C59×#24232
C59×#23292
C59×#23122
C4×C22⋊Q8×C592
C2×C59×#3882
C59×#22732
#3540259