Finite Group Databasebeta

← C59×#35071 #28447180

Subgroups — C59×#35071 #28447180

Order 15104.

1916 conjugacy classes of subgroups.

The subgroup lattice has 1526 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C59×#2865C211yesmaximal, characteristic, complemented
2C59×#2861C211yesmaximal, characteristic, complemented
3C59×#2853C211yesmaximal, characteristic, complemented
4C59×#2850C211yesmaximal, characteristic, complemented
5C59×#2665C211yesmaximal, characteristic, complemented
6C59×#2661C211yesmaximal, characteristic, complemented
7C59×#2635C211yesmaximal, characteristic, complemented
8C59×#2630C211yesmaximal, characteristic, complemented
9C59×#2593C211yesmaximal, characteristic, complemented
10C59×#2573C211yesmaximal, characteristic, complemented
11C59×#2556C211yesmaximal, characteristic, complemented
12C59×#2555C211yesmaximal, characteristic, complemented
13C59×#2520C211yesmaximal, characteristic, complemented
14C59×#2518C211yesmaximal, characteristic, complemented
15C59×#2516C211yesmaximal, characteristic, complemented
16C59×#2463C211yesmaximal, characteristic, complemented
17C59×#2461C211yesmaximal, characteristic, complemented
18C59×#2460C211yesmaximal, characteristic, complemented
19C59×#2459C211yesmaximal, characteristic, complemented
20C59×#2459C211yesmaximal, characteristic, complemented
21C59×#2459C211yesmaximal, characteristic, complemented
22C59×#2457C211yesmaximal, characteristic, complemented
23C59×#2456C211yesmaximal, characteristic, complemented
24C59×#2456C211yesmaximal, characteristic, complemented
25C59×#2337C211yesmaximal, characteristic, complemented
26C59×#2335C211yesmaximal, characteristic, complemented
27C59×#2333C211yesmaximal, characteristic, complemented
28C59×#2332C211yesmaximal, characteristic, complemented
29C4×#123×C59C211yesmaximal, characteristic, complemented
30C4×#121×C59C211yesmaximal, characteristic, complemented
31C42×D4×C59C211yesmaximal, characteristic, complemented
32C2×#125×C59C2211yescharacteristic
33C2×#124×C59C2211yescharacteristic
34C2×#124×C59C2211yescharacteristic
35C2×#124×C59C2211yescharacteristic
36C2×#123×C59C2211yescharacteristic
37C2×#123×C59C2211yescharacteristic
38C2×#123×C59C2211yescharacteristic
39C2×C22⋊Q8×C59C2211yescharacteristic
40C2×C22⋊Q8×C59C2211yescharacteristic
41C2×#121×C59C2211yescharacteristic
42C2×#121×C59C2211yescharacteristic
43C2×#121×C59C2211yescharacteristic
44C2×C4×D4×C59C2211yescharacteristic
45C2×C4×D4×C59C2211yescharacteristic
46C2×C4×D4×C59C2211yescharacteristic
47C2×C4×D4×C59C2211yescharacteristic
48C2×C4×D4×C59C2211yescharacteristic
49C2×C4×D4×C59C2211yescharacteristic
50C2×C4×D4×C59C2211yescharacteristic
51C22×C42×C59C2211yescharacteristic
52C22×C42×C59C2211yescharacteristic
53C59×#400C2211yescharacteristic
54C59×#400C2211yescharacteristic
55C59×#400C2211yescharacteristic
56C59×#399C2211yescharacteristic
57C59×#398C2211yescharacteristic
58C59×#398C2211yescharacteristic
59C59×#397C2211yescharacteristic
60C59×#397C2211yescharacteristic
61C59×#396C2211yescharacteristic
62C59×#396C2211yescharacteristic
63C59×#396C2211yescharacteristic
64C59×#396C2211yescharacteristic
65C59×#395C2211yescharacteristic
66C59×#395C2211yescharacteristic
67C59×#394C2211yescharacteristic
68C59×#394C2211yescharacteristic
69C59×#394C2211yescharacteristic
70C59×#394C2211yescharacteristic
71C59×#394C2211yescharacteristic
72C59×#394C2211yescharacteristic
73C59×#394C2211yescharacteristic
74C59×#394C2211yescharacteristic
75C59×#394C2211yescharacteristic
76C59×#393C2211yescharacteristic
77C59×#393C2211yescharacteristic
78C59×#392C2211yescharacteristic
79C59×#392C2211yescharacteristic
80C59×#392C2211yescharacteristic
81C59×#392C2211yescharacteristic
82C59×#392C2211yescharacteristic
83C59×#392C2211yescharacteristic
84C59×#392C2211yescharacteristic
85C59×#391C2211yescharacteristic
86C59×#391C2211yescharacteristic
87C59×#391C2211yescharacteristic
88C59×#391C2211yescharacteristic
89C59×#391C2211yescharacteristic
90C59×#390C2211yescharacteristic
91C59×#390C2211yescharacteristic
92C59×#390C2211yescharacteristic
93C59×#390C2211yescharacteristic
94C59×#390C2211yescharacteristic
95C59×#389C2211yescharacteristic
96C59×#389C2211yescharacteristic
97C59×#388C2211yescharacteristic
98C59×#388C2211yescharacteristic
99C59×#388C2211yescharacteristic
100C59×#388C2211yescharacteristic
101C59×#388C2211yescharacteristic
102C59×#388C2211yescharacteristic
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×#388C2211yescharacteristic
120C59×#388C2211yescharacteristic
121C59×#388C2211yescharacteristic
122C59×#388C2211yescharacteristic
123C59×#388C2211yescharacteristic
124C59×#388C2211yescharacteristic
125C59×#388C2211yescharacteristic
126C59×#388C2211yescharacteristic
127C59×#387C2211yescharacteristic
128C59×#387C2211yescharacteristic
129C59×#387C2211yescharacteristic
130C59×#387C2211yescharacteristic
131C59×#387C2211yescharacteristic
132C59×#387C2211yescharacteristic
133C59×#387C2211yescharacteristic
134C59×#387C2211yescharacteristic
135C59×#387C2211yescharacteristic
136C59×#387C2211yescharacteristic
137C59×#387C2211yescharacteristic
138C59×#387C2211yescharacteristic
139C59×#387C2211yescharacteristic
140C59×#387C2211yescharacteristic
141C59×#387C2211yescharacteristic
142C59×#387C2211yescharacteristic
143C59×#386C2211yescharacteristic
144C59×#386C2211yescharacteristic
145C59×#386C2211yescharacteristic
146C59×#386C2211yescharacteristic
147C59×#386C2211yescharacteristic
148C59×#386C2211yescharacteristic
149C59×#386C2211yescharacteristic
150C59×#386C2211yescharacteristic
151C59×#386C2211yescharacteristic
152C59×#386C2211yescharacteristic
153C59×#386C2211yescharacteristic
154C59×#386C2211yescharacteristic
155C59×#386C2211yescharacteristic
156C59×#385C2211yescharacteristic
157C59×#385C2211yescharacteristic
158C59×#385C2211yescharacteristic
159C59×#385C2211yescharacteristic
160C59×#385C2211yescharacteristic
161C59×#383C2211yescharacteristic
162C59×#382C2211yescharacteristic
163C59×#381C2211yescharacteristic
164C59×#381C2211yescharacteristic
165C59×#381C2211yescharacteristic
166C59×#381C2211yescharacteristic
167C59×#380C2211yescharacteristic
168C59×#380C2211yescharacteristic
169C4×C4⋊C4×C59C2211yescharacteristic
170C4×C4⋊C4×C59C2211yescharacteristic
171C4×C4⋊C4×C59C2211yescharacteristic
172C4×C4⋊C4×C59C2211yescharacteristic
173C4×C4⋊C4×C59C2211yescharacteristic
174C4×C4⋊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
186C43×C59C2211yescharacteristic
187C22×Q8×C59C2311yescharacteristic
188C22×Q8×C59C2311yescharacteristic
189C22×D4×C59C2311yescharacteristic
190C22×D4×C59C2311yescharacteristic
191C22×D4×C59C2311yescharacteristic
192C22×D4×C59C2311yescharacteristic
193C22×D4×C59C2311yescharacteristic
194C22×D4×C59C2311yescharacteristic
195C22×D4×C59C2311yescharacteristic
196C22×D4×C59C2311yescharacteristic
197C22×D4×C59C2311yescharacteristic
198C22×D4×C59C2311yescharacteristic
199C23×C4×C59C2311yescharacteristic
200C23×C4×C59C2311yescharacteristic
201C23×C4×C59C2311yescharacteristic
202C23×C4×C59C2311yescharacteristic
203C23×C4×C59C2311yescharacteristic
204C23×C4×C59C2311yescharacteristic
205C23×C4×C59C2311yescharacteristic
206C23×C4×C59C2311yescharacteristic
207C23×C4×C59C2311yescharacteristic
208#125×C59—42no—
209#124×C59—24no—
210#124×C59—42no—
211#124×C59—42no—
212#123×C59—24no—
213#123×C59—24no—
214#123×C59—42no—
215C22⋊Q8×C59—24no—
216C22⋊Q8×C59—42no—
217#121×C59—24no—
218#121×C59—24no—
219#121×C59—42no—
220C4×D4×C59—24no—
221C4×D4×C59—24no—
222C4×D4×C59—24no—
223C4×D4×C59—42no—
224C4×D4×C59—42no—
225C4×D4×C59—42no—
226C4×D4×C59—42no—
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×C22⋊C4×C59C2311yescharacteristic
254C2×C22⋊C4×C59C2311yescharacteristic
255C2×C22⋊C4×C59C2311yescharacteristic
256C2×C22⋊C4×C59C2311yescharacteristic
257C2×C22⋊C4×C59C2311yescharacteristic
258C2×C22⋊C4×C59C2311yescharacteristic
259C2×C22⋊C4×C59C2311yescharacteristic
260C2×C22⋊C4×C59C2311yescharacteristic
261C2×C22⋊C4×C59C2311yescharacteristic
262C2×C22⋊C4×C59C2311yescharacteristic
263C2×C22⋊C4×C59C2311yescharacteristic
264C2×C22⋊C4×C59C2311yescharacteristic
265C2×C22⋊C4×C59C2311yescharacteristic
266C2×C22⋊C4×C59C2311yescharacteristic
267C2×C22⋊C4×C59C2311yescharacteristic
268C2×C22⋊C4×C59C2311yescharacteristic
269C2×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×C59—42no—
300C2×C42×C59—42no—
301C2×C42×C59C2311yescharacteristic
302C2×C42×C59C2311yescharacteristic
303C2×C42×C59C2311yescharacteristic
304C2×C42×C59C2311yescharacteristic
305C2×C42×C59C2311yescharacteristic
306C2×C42×C59C2311yescharacteristic
307C2×C42×C59C2311yescharacteristic
308C2×C42×C59C2311yescharacteristic
309C2×C42×C59C2311yescharacteristic
310C2×C42×C59C2311yescharacteristic
311C2×C42×C59C2311yescharacteristic
312C2×C42×C59C2311yescharacteristic
313C2×C42×C59C2311yescharacteristic
314C2×C42×C59C2311yescharacteristic
315C2×C42×C59C2311yescharacteristic
316C2×C42×C59C2311yescharacteristic
317C2×C42×C59C2311yescharacteristic
318C2×C42×C59C2311yescharacteristic
319#95×C59C2311yescharacteristic
320#95×C59C2311yescharacteristic
321#95×C59C2311yescharacteristic
322#95×C59C2311yescharacteristic
323#95×C59C2311yescharacteristic
324#95×C59C2311yescharacteristic
325#95×C59C2311yescharacteristic
326#95×C59C2311yescharacteristic
327#95×C59C2311yescharacteristic
328#95×C59C2311yescharacteristic
329#95×C59C2311yescharacteristic
330#95×C59C2311yescharacteristic
331#95×C59C2311yescharacteristic
332#95×C59C2311yescharacteristic
333#95×C59C2311yescharacteristic
334#95×C59C2311yescharacteristic
335#95×C59C2311yescharacteristic
336#95×C59C2311yescharacteristic
337#95×C59C2311yescharacteristic
338#95×C59C2311yescharacteristic
339#95×C59C2311yescharacteristic
340#95×C59C2311yescharacteristic
341#95×C59C2311yescharacteristic
342#95×C59C2311yescharacteristic
343#95×C59C2311yescharacteristic
344#95×C59C2311yescharacteristic
345#95×C59C2311yescharacteristic
346#95×C59C2311yescharacteristic
347#95×C59C2311yescharacteristic
348#95×C59C2311yescharacteristic
349#95×C59C2311yescharacteristic
350#95×C59C2311yescharacteristic
351#95×C59C2311yescharacteristic
352#95×C59C2311yescharacteristic
353#95×C59C2311yescharacteristic
354#95×C59C2311yescharacteristic
355#95×C59C2311yescharacteristic
356#95×C59C2311yescharacteristic
357#95×C59C2311yescharacteristic
358#95×C59C2311yescharacteristic
359#95×C59C2311yescharacteristic
360#95×C59C2311yescharacteristic
361#95×C59C2311yescharacteristic
362#95×C59C2311yescharacteristic
363C24×C59C2411yescharacteristic
364C24×C59C2411yescharacteristic
365C24×C59C2411yescharacteristic
366C24×C59C2411yescharacteristic
367C24×C59C2411yescharacteristic
368C2×Q8×C59—22no—
369C2×Q8×C59—22no—
370C2×Q8×C59—41no—
371C2×Q8×C59—41no—
372C2×Q8×C59—41no—
373C2×Q8×C59—41no—
374C2×D4×C59—22no—
375C2×D4×C59—22no—
376C2×D4×C59—22no—
377C2×D4×C59—22no—
378C2×D4×C59—22no—
379C2×D4×C59—22no—
380C2×D4×C59—22no—
381C2×D4×C59—22no—
382C2×D4×C59—22no—
383C2×D4×C59—22no—
384C2×D4×C59—22no—
385C2×D4×C59—22no—
386C2×D4×C59—41no—
387C2×D4×C59—41no—
388C2×D4×C59—41no—
389C2×D4×C59—41no—
390C2×D4×C59—41no—
391C2×D4×C59—41no—
392C2×D4×C59—41no—
393C2×D4×C59—41no—
394C2×D4×C59—41no—
395C2×D4×C59—41no—
396C2×D4×C59—41no—
397C2×D4×C59—41no—
398C2×D4×C59—41no—
399C2×D4×C59—41no—
400C2×D4×C59—41no—
401C2×D4×C59—41no—
402C2×D4×C59—41no—
403C2×D4×C59—41no—
404C22×C4×C59—22no—
405C22×C4×C59—22no—
406C22×C4×C59—22no—
407C22×C4×C59—22no—
408C22×C4×C59—22no—
409C22×C4×C59—22no—
410C22×C4×C59—22no—
411C22×C4×C59—22no—
412C22×C4×C59—22no—
413C22×C4×C59—22no—
414C22×C4×C59—22no—
415C22×C4×C59—22no—
416C22×C4×C59—41no—
417C22×C4×C59—41no—
418C22×C4×C59—41no—
419C22×C4×C59—41no—
420C22×C4×C59—41no—
421C22×C4×C59—41no—
422C22×C4×C59—41no—
423C22×C4×C59—41no—
424C22×C4×C59—41no—
425C22×C4×C59—41no—
426C22×C4×C59—41no—
427C22×C4×C59—41no—
428C22×C4×C59—41no—
429C22×C4×C59—41no—
430C22×C4×C59#4114yes—
431C22×C4×C59C2411yescharacteristic
432C22×C4×C59C2411yescharacteristic
433C22×C4×C59C2411yescharacteristic
434C22×C4×C59C2411yescharacteristic
435C22×C4×C59C2411yescharacteristic
436C22×C4×C59C2411yescharacteristic
437C22×C4×C59C2411yescharacteristic
438C22×C4×C59C2411yescharacteristic
439C22×C4×C59C2411yescharacteristic
440C22×C4×C59C2411yescharacteristic
441C22×C4×C59C2411yescharacteristic
442C22×C4×C59C2411yescharacteristic
443C22×C4×C59C2411yescharacteristic
444C22×C4×C59C2411yescharacteristic
445C22×C4×C59C2411yescharacteristic
446C22×C4×C59C2411yescharacteristic
447C22×C4×C59C2411yescharacteristic
448C22×C4×C59C2411yescharacteristic
449C22×C4×C59C2411yescharacteristic
450C22×C4×C59C2411yescharacteristic
451C22×C4×C59C2411yescharacteristic
452C22×C4×C59C2411yescharacteristic
453C22×C4×C59C2411yescharacteristic
454C22×C4×C59C2411yescharacteristic
455C22×C4×C59C2411yescharacteristic
456C22×C4×C59C2411yescharacteristic
457C4⋊C4×C59—22no—
458C4⋊C4×C59—22no—
459C4⋊C4×C59—22no—
460C4⋊C4×C59—22no—
461C4⋊C4×C59—22no—
462C4⋊C4×C59—22no—
463C4⋊C4×C59—22no—
464C4⋊C4×C59—22no—
465C4⋊C4×C59—22no—
466C4⋊C4×C59—22no—
467C4⋊C4×C59—22no—
468C4⋊C4×C59—22no—
469C4⋊C4×C59—22no—
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#4114yes—
483C22⋊C4×C59—22no—
484C22⋊C4×C59—22no—
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—22no—
501C22⋊C4×C59—22no—
502C22⋊C4×C59—22no—
503C22⋊C4×C59—22no—
504C22⋊C4×C59—22no—
505C22⋊C4×C59—22no—
506C22⋊C4×C59—22no—
507C22⋊C4×C59—22no—
508C22⋊C4×C59—41no—
509C22⋊C4×C59—41no—
510C22⋊C4×C59—41no—
511C22⋊C4×C59—41no—
512C22⋊C4×C59—41no—
513C22⋊C4×C59—41no—
514C22⋊C4×C59—41no—
515C22⋊C4×C59—41no—
516C22⋊C4×C59—41no—
517C22⋊C4×C59—41no—
518C22⋊C4×C59—41no—
519C22⋊C4×C59—41no—
520C22⋊C4×C59—41no—
521C22⋊C4×C59—41no—
522C22⋊C4×C59—41no—
523C22⋊C4×C59—41no—
524C22⋊C4×C59—41no—
525C22⋊C4×C59—41no—
526C22⋊C4×C59—41no—
527C22⋊C4×C59—41no—
528C22⋊C4×C59#4114yes—
529C42×C59—22no—
530C42×C59—22no—
531C42×C59—22no—
532C42×C59—22no—
533C42×C59—22no—
534C42×C59—22no—
535C42×C59—22no—
536C42×C59—22no—
537C42×C59—41no—
538C42×C59—41no—
539C42×C59—41no—
540C42×C59—41no—
541C42×C59—41no—
542C42×C59—41no—
543C42×C59—41no—
544C42×C59—41no—
545C42×C59—41no—
546C42×C59—41no—
547C23×C59—21no—
548C23×C59—21no—
549C23×C59—21no—
550C23×C59—21no—
551C23×C59—21no—
552C23×C59—21no—
553C23×C59—21no—
554C23×C59—21no—
555C23×C59—21no—
556C23×C59—21no—
557C23×C59—21no—
558C23×C59—21no—
559C23×C59—21no—
560C23×C59—21no—
561C23×C59—21no—
562C23×C59—21no—
563C23×C59—21no—
564C23×C59—21no—
565C23×C59—21no—
566C23×C59—21no—
567C23×C59—21no—
568C23×C59—21no—
569C23×C59—21no—
570C23×C59—21no—
571C23×C59—21no—
572C23×C59—21no—
573C23×C59—21no—
574C23×C59—21no—
575C23×C59—21no—
576C23×C59—21no—
577C23×C59—21no—
578C23×C59—21no—
579C23×C59—21no—
580C23×C59C2×#4112yes—
581C23×C59C2×#4112yes—
582C23×C59C2511yescharacteristic
583Q8×C59—82no—
584Q8×C59—82no—
585D4×C59—28no—
586D4×C59—44no—
587D4×C59—44no—
588D4×C59—44no—
589D4×C59—44no—
590D4×C59—82no—
591D4×C59—82no—
592D4×C59—82no—
593D4×C59—82no—
594D4×C59—82no—
595C2×C4×C59—21no—
596C2×C4×C59—21no—
597C2×C4×C59—21no—
598C2×C4×C59—21no—
599C2×C4×C59—21no—
600C2×C4×C59—21no—
601C2×C4×C59—21no—
602C2×C4×C59—21no—
603C2×C4×C59—21no—
604C2×C4×C59—21no—
605C2×C4×C59—21no—
606C2×C4×C59—21no—
607C2×C4×C59—21no—
608C2×C4×C59—21no—
609C2×C4×C59—21no—
610C2×C4×C59—21no—
611C2×C4×C59—21no—
612C2×C4×C59—21no—
613C2×C4×C59—21no—
614C2×C4×C59—21no—
615C2×C4×C59—21no—
616C2×C4×C59—21no—
617C2×C4×C59—21no—
618C2×C4×C59—21no—
619C2×C4×C59—21no—
620C2×C4×C59—21no—
621C2×C4×C59—21no—
622C2×C4×C59—21no—
623C2×C4×C59—21no—
624C2×C4×C59—21no—
625C2×C4×C59—21no—
626C2×C4×C59—21no—
627C2×C4×C59—21no—
628C2×C4×C59—21no—
629C2×C4×C59—21no—
630C2×C4×C59—21no—
631C2×C4×C59—21no—
632C2×C4×C59—21no—
633C2×C4×C59—21no—
634C2×C4×C59—21no—
635C2×C4×C59—21no—
636C2×C4×C59—21no—
637C2×C4×C59—21no—
638C2×C4×C59—21no—
639C2×C4×C59—21no—
640C2×C4×C59—21no—
641C2×C4×C59—21no—
642C2×C4×C59—21no—
643C2×C4×C59—21no—
644C2×C4×C59—21no—
645C2×C4×C59—21no—
646C2×C4×C59—21no—
647C2×C4×C59—21no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—21no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59—44no—
665C2×C4×C59—44no—
666C2×C4×C59—44no—
667C2×C4×C59—44no—
668C2×C4×C59—44no—
669C2×C4×C59—44no—
670C2×C4×C59—82no—
671C2×C4×C59—82no—
672C2×C4×C59—82no—
673C2×C4×C59C2×#4112yes—
674C2×C4×C59C2×#4112yes—
675C2×C4×C59C2×#4112yes—
676C2×C4×C59C2×#4112yes—
677C2×C4×C59C2×#4112yes—
678C2×C4×C59C2×#4112yes—
679C2×C4×C59C2×#4112yes—
680C2×C4×C59H(5,𝔽2)12yes—
681C2×C4×C59H(5,𝔽2)12yes—
682#35071C5911yesmaximal, characteristic, direct product factor, Sylow
683C22×C59—22no—
684C22×C59—22no—
685C22×C59—22no—
686C22×C59—22no—
687C22×C59—22no—
688C22×C59—22no—
689C22×C59—41no—
690C22×C59—41no—
691C22×C59—41no—
692C22×C59—41no—
693C22×C59—41no—
694C22×C59—41no—
695C22×C59—41no—
696C22×C59—41no—
697C22×C59—41no—
698C22×C59—41no—
699C22×C59—41no—
700C22×C59—41no—
701C22×C59—41no—
702C22×C59—41no—
703C22×C59—41no—
704C22×C59—41no—
705C22×C59—41no—
706C22×C59—41no—
707C22×C59—41no—
708C22×C59—41no—
709C22×C59—41no—
710C22×C59—41no—
711C22×C59—41no—
712C22×C59—41no—
713C22×C59—41no—
714C22×C59—41no—
715C22×C59—41no—
716C22×C59—41no—
717C22×C59—41no—
718C22×C59C22×#4111yescharacteristic
719C22×C59C22×#4111yescharacteristic
720C22×C59C22×#4111yescharacteristic
721C22×C59C2×H(5,𝔽2)11yescharacteristic
722C22×C59C2×H(5,𝔽2)11yescharacteristic
723C22×C59#58511yescharacteristic
724C22×C59#58511yescharacteristic
725C4×C59—22no—
726C4×C59—22no—
727C4×C59—22no—
728C4×C59—22no—
729C4×C59—22no—
730C4×C59—22no—
731C4×C59—22no—
732C4×C59—22no—
733C4×C59—22no—
734C4×C59—41no—
735C4×C59—41no—
736C4×C59—41no—
737C4×C59—41no—
738C4×C59—41no—
739C4×C59—41no—
740C4×C59—41no—
741C4×C59—41no—
742C4×C59—41no—
743C4×C59—41no—
744C4×C59—41no—
745C4×C59—41no—
746C4×C59—41no—
747C4×C59—41no—
748C4×C59—41no—
749C4×C59—41no—
750C4×C59—41no—
751#2865C2×C5911yescharacteristic, complemented
752#2861C2×C5911yescharacteristic, complemented
753#2853C2×C5911yescharacteristic, complemented
754#2850C2×C5911yescharacteristic, complemented
755#2665C2×C5911yescharacteristic, complemented
756#2661C2×C5911yescharacteristic, complemented
757#2635C2×C5911yescharacteristic, complemented
758#2630C2×C5911yescharacteristic, complemented
759#2593C2×C5911yescharacteristic, complemented
760#2573C2×C5911yescharacteristic, complemented
761#2556C2×C5911yescharacteristic, complemented
762#2555C2×C5911yescharacteristic, complemented
763#2520C2×C5911yescharacteristic, complemented
764#2518C2×C5911yescharacteristic, complemented
765#2516C2×C5911yescharacteristic, complemented
766#2463C2×C5911yescharacteristic, complemented
767#2461C2×C5911yescharacteristic, complemented
768#2460C2×C5911yescharacteristic, complemented
769#2459C2×C5911yescharacteristic, complemented
770#2459C2×C5911yescharacteristic, complemented
771#2459C2×C5911yescharacteristic, complemented
772#2457C2×C5911yescharacteristic, complemented
773#2456C2×C5911yescharacteristic, complemented
774#2456C2×C5911yescharacteristic, complemented
775#2337C2×C5911yescharacteristic, complemented
776#2335C2×C5911yescharacteristic, complemented
777#2333C2×C5911yescharacteristic, complemented
778#2332C2×C5911yescharacteristic, complemented
779C4×#123C2×C5911yescharacteristic, complemented
780C4×#121C2×C5911yescharacteristic, complemented
781C42×D4C2×C5911yescharacteristic, complemented
782C2×C59—42no—
783C2×C59—42no—
784C2×C59—81no—
785C2×C59—81no—
786C2×C59—81no—
787C2×C59#344411yescharacteristic
788C2×C59#345911yescharacteristic
789C2×C59#346011yescharacteristic
790C2×C59#351311yescharacteristic
791C2×C59#351411yescharacteristic
792C2×C59#351911yescharacteristic
793C2×C59#352411yescharacteristic
794C2×#125C22×C5911yescharacteristic
795C2×#124C22×C5911yescharacteristic
796C2×#124C22×C5911yescharacteristic
797C2×#124C22×C5911yescharacteristic
798C2×#123C22×C5911yescharacteristic
799C2×#123C22×C5911yescharacteristic
800C2×#123C22×C5911yescharacteristic
801C2×C22⋊Q8C22×C5911yescharacteristic
802C2×C22⋊Q8C22×C5911yescharacteristic
803C2×#121C22×C5911yescharacteristic
804C2×#121C22×C5911yescharacteristic
805C2×#121C22×C5911yescharacteristic
806C2×C4×D4C22×C5911yescharacteristic
807C2×C4×D4C22×C5911yescharacteristic
808C2×C4×D4C22×C5911yescharacteristic
809C2×C4×D4C22×C5911yescharacteristic
810C2×C4×D4C22×C5911yescharacteristic
811C2×C4×D4C22×C5911yescharacteristic
812C2×C4×D4C22×C5911yescharacteristic
813C22×C42C22×C5911yescharacteristic
814C22×C42C22×C5911yescharacteristic
815#400C22×C5911yescharacteristic
816#400C22×C5911yescharacteristic
817#400C22×C5911yescharacteristic
818#399C22×C5911yescharacteristic
819#398C22×C5911yescharacteristic
820#398C22×C5911yescharacteristic
821#397C22×C5911yescharacteristic
822#397C22×C5911yescharacteristic
823#396C22×C5911yescharacteristic
824#396C22×C5911yescharacteristic
825#396C22×C5911yescharacteristic
826#396C22×C5911yescharacteristic
827#395C22×C5911yescharacteristic
828#395C22×C5911yescharacteristic
829#394C22×C5911yescharacteristic
830#394C22×C5911yescharacteristic
831#394C22×C5911yescharacteristic
832#394C22×C5911yescharacteristic
833#394C22×C5911yescharacteristic
834#394C22×C5911yescharacteristic
835#394C22×C5911yescharacteristic
836#394C22×C5911yescharacteristic
837#394C22×C5911yescharacteristic
838#393C22×C5911yescharacteristic
839#393C22×C5911yescharacteristic
840#392C22×C5911yescharacteristic
841#392C22×C5911yescharacteristic
842#392C22×C5911yescharacteristic
843#392C22×C5911yescharacteristic
844#392C22×C5911yescharacteristic
845#392C22×C5911yescharacteristic
846#392C22×C5911yescharacteristic
847#391C22×C5911yescharacteristic
848#391C22×C5911yescharacteristic
849#391C22×C5911yescharacteristic
850#391C22×C5911yescharacteristic
851#391C22×C5911yescharacteristic
852#390C22×C5911yescharacteristic
853#390C22×C5911yescharacteristic
854#390C22×C5911yescharacteristic
855#390C22×C5911yescharacteristic
856#390C22×C5911yescharacteristic
857#389C22×C5911yescharacteristic
858#389C22×C5911yescharacteristic
859#388C22×C5911yescharacteristic
860#388C22×C5911yescharacteristic
861#388C22×C5911yescharacteristic
862#388C22×C5911yescharacteristic
863#388C22×C5911yescharacteristic
864#388C22×C5911yescharacteristic
865#388C22×C5911yescharacteristic
866#388C22×C5911yescharacteristic
867#388C22×C5911yescharacteristic
868#388C22×C5911yescharacteristic
869#388C22×C5911yescharacteristic
870#388C22×C5911yescharacteristic
871#388C22×C5911yescharacteristic
872#388C22×C5911yescharacteristic
873#388C22×C5911yescharacteristic
874#388C22×C5911yescharacteristic
875#388C22×C5911yescharacteristic
876#388C22×C5911yescharacteristic
877#388C22×C5911yescharacteristic
878#388C22×C5911yescharacteristic
879#388C22×C5911yescharacteristic
880#388C22×C5911yescharacteristic
881#388C22×C5911yescharacteristic
882#388C22×C5911yescharacteristic
883#388C22×C5911yescharacteristic
884#388C22×C5911yescharacteristic
885#388C22×C5911yescharacteristic
886#388C22×C5911yescharacteristic
887#388C22×C5911yescharacteristic
888#388C22×C5911yescharacteristic
889#387C22×C5911yescharacteristic
890#387C22×C5911yescharacteristic
891#387C22×C5911yescharacteristic
892#387C22×C5911yescharacteristic
893#387C22×C5911yescharacteristic
894#387C22×C5911yescharacteristic
895#387C22×C5911yescharacteristic
896#387C22×C5911yescharacteristic
897#387C22×C5911yescharacteristic
898#387C22×C5911yescharacteristic
899#387C22×C5911yescharacteristic
900#387C22×C5911yescharacteristic
901#387C22×C5911yescharacteristic
902#387C22×C5911yescharacteristic
903#387C22×C5911yescharacteristic
904#387C22×C5911yescharacteristic
905#386C22×C5911yescharacteristic
906#386C22×C5911yescharacteristic
907#386C22×C5911yescharacteristic
908#386C22×C5911yescharacteristic
909#386C22×C5911yescharacteristic
910#386C22×C5911yescharacteristic
911#386C22×C5911yescharacteristic
912#386C22×C5911yescharacteristic
913#386C22×C5911yescharacteristic
914#386C22×C5911yescharacteristic
915#386C22×C5911yescharacteristic
916#386C22×C5911yescharacteristic
917#386C22×C5911yescharacteristic
918#385C22×C5911yescharacteristic
919#385C22×C5911yescharacteristic
920#385C22×C5911yescharacteristic
921#385C22×C5911yescharacteristic
922#385C22×C5911yescharacteristic
923#383C22×C5911yescharacteristic
924#382C22×C5911yescharacteristic
925#381C22×C5911yescharacteristic
926#381C22×C5911yescharacteristic
927#381C22×C5911yescharacteristic
928#381C22×C5911yescharacteristic
929#380C22×C5911yescharacteristic
930#380C22×C5911yescharacteristic
931C4×C4⋊C4C22×C5911yescharacteristic
932C4×C4⋊C4C22×C5911yescharacteristic
933C4×C4⋊C4C22×C5911yescharacteristic
934C4×C4⋊C4C22×C5911yescharacteristic
935C4×C4⋊C4C22×C5911yescharacteristic
936C4×C4⋊C4C22×C5911yescharacteristic
937C4×C22⋊C4C22×C5911yescharacteristic
938C4×C22⋊C4C22×C5911yescharacteristic
939C4×C22⋊C4C22×C5911yescharacteristic
940C4×C22⋊C4C22×C5911yescharacteristic
941C4×C22⋊C4C22×C5911yescharacteristic
942C4×C22⋊C4C22×C5911yescharacteristic
943C4×C22⋊C4C22×C5911yescharacteristic
944C4×C22⋊C4C22×C5911yescharacteristic
945C4×C22⋊C4C22×C5911yescharacteristic
946C4×C22⋊C4C22×C5911yescharacteristic
947C4×C22⋊C4C22×C5911yescharacteristic
948C43C22×C5911yescharacteristic
949C59#3507111yescharacteristic, direct product factor, Sylow
950C22×Q8C23×C5911yescharacteristic
951C22×Q8C23×C5911yescharacteristic
952C22×D4C23×C5911yescharacteristic
953C22×D4C23×C5911yescharacteristic
954C22×D4C23×C5911yescharacteristic
955C22×D4C23×C5911yescharacteristic
956C22×D4C23×C5911yescharacteristic
957C22×D4C23×C5911yescharacteristic
958C22×D4C23×C5911yescharacteristic
959C22×D4C23×C5911yescharacteristic
960C22×D4C23×C5911yescharacteristic
961C22×D4C23×C5911yescharacteristic
962C23×C4C23×C5911yescharacteristic
963C23×C4C23×C5911yescharacteristic
964C23×C4C23×C5911yescharacteristic
965C23×C4C23×C5911yescharacteristic
966C23×C4C23×C5911yescharacteristic
967C23×C4C23×C5911yescharacteristic
968C23×C4C23×C5911yescharacteristic
969C23×C4C23×C5911yescharacteristic
970C23×C4C23×C5911yescharacteristic
971#125—42no—
972#124—24no—
973#124—42no—
974#124—42no—
975#123—24no—
976#123—24no—
977#123—42no—
978C22⋊Q8—24no—
979C22⋊Q8—42no—
980#121—24no—
981#121—24no—
982#121—42no—
983C4×D4—24no—
984C4×D4—24no—
985C4×D4—24no—
986C4×D4—42no—
987C4×D4—42no—
988C4×D4—42no—
989C4×D4—42no—
990C2×C4⋊C4C23×C5911yescharacteristic
991C2×C4⋊C4C23×C5911yescharacteristic
992C2×C4⋊C4C23×C5911yescharacteristic
993C2×C4⋊C4C23×C5911yescharacteristic
994C2×C4⋊C4C23×C5911yescharacteristic
995C2×C4⋊C4C23×C5911yescharacteristic
996C2×C4⋊C4C23×C5911yescharacteristic
997C2×C4⋊C4C23×C5911yescharacteristic
998C2×C4⋊C4C23×C5911yescharacteristic
999C2×C4⋊C4C23×C5911yescharacteristic
1000C2×C4⋊C4C23×C5911yescharacteristic
1001C2×C4⋊C4C23×C5911yescharacteristic
1002C2×C4⋊C4C23×C5911yescharacteristic
1003C2×C4⋊C4C23×C5911yescharacteristic
1004C2×C4⋊C4C23×C5911yescharacteristic
1005C2×C4⋊C4C23×C5911yescharacteristic
1006C2×C4⋊C4C23×C5911yescharacteristic
1007C2×C4⋊C4C23×C5911yescharacteristic
1008C2×C4⋊C4C23×C5911yescharacteristic
1009C2×C4⋊C4C23×C5911yescharacteristic
1010C2×C4⋊C4C23×C5911yescharacteristic
1011C2×C4⋊C4C23×C5911yescharacteristic
1012C2×C4⋊C4C23×C5911yescharacteristic
1013C2×C4⋊C4C23×C5911yescharacteristic
1014C2×C4⋊C4C23×C5911yescharacteristic
1015C2×C4⋊C4C23×C5911yescharacteristic
1016C2×C22⋊C4C23×C5911yescharacteristic
1017C2×C22⋊C4C23×C5911yescharacteristic
1018C2×C22⋊C4C23×C5911yescharacteristic
1019C2×C22⋊C4C23×C5911yescharacteristic
1020C2×C22⋊C4C23×C5911yescharacteristic
1021C2×C22⋊C4C23×C5911yescharacteristic
1022C2×C22⋊C4C23×C5911yescharacteristic
1023C2×C22⋊C4C23×C5911yescharacteristic
1024C2×C22⋊C4C23×C5911yescharacteristic
1025C2×C22⋊C4C23×C5911yescharacteristic
1026C2×C22⋊C4C23×C5911yescharacteristic
1027C2×C22⋊C4C23×C5911yescharacteristic
1028C2×C22⋊C4C23×C5911yescharacteristic
1029C2×C22⋊C4C23×C5911yescharacteristic
1030C2×C22⋊C4C23×C5911yescharacteristic
1031C2×C22⋊C4C23×C5911yescharacteristic
1032C2×C22⋊C4C23×C5911yescharacteristic
1033C2×C22⋊C4C23×C5911yescharacteristic
1034C2×C22⋊C4C23×C5911yescharacteristic
1035C2×C22⋊C4C23×C5911yescharacteristic
1036C2×C22⋊C4C23×C5911yescharacteristic
1037C2×C22⋊C4C23×C5911yescharacteristic
1038C2×C22⋊C4C23×C5911yescharacteristic
1039C2×C22⋊C4C23×C5911yescharacteristic
1040C2×C22⋊C4C23×C5911yescharacteristic
1041C2×C22⋊C4C23×C5911yescharacteristic
1042C2×C22⋊C4C23×C5911yescharacteristic
1043C2×C22⋊C4C23×C5911yescharacteristic
1044C2×C22⋊C4C23×C5911yescharacteristic
1045C2×C22⋊C4C23×C5911yescharacteristic
1046C2×C22⋊C4C23×C5911yescharacteristic
1047C2×C22⋊C4C23×C5911yescharacteristic
1048C2×C22⋊C4C23×C5911yescharacteristic
1049C2×C22⋊C4C23×C5911yescharacteristic
1050C2×C22⋊C4C23×C5911yescharacteristic
1051C2×C22⋊C4C23×C5911yescharacteristic
1052C2×C22⋊C4C23×C5911yescharacteristic
1053C2×C22⋊C4C23×C5911yescharacteristic
1054C2×C22⋊C4C23×C5911yescharacteristic
1055C2×C22⋊C4C23×C5911yescharacteristic
1056C2×C22⋊C4C23×C5911yescharacteristic
1057C2×C22⋊C4C23×C5911yescharacteristic
1058C2×C22⋊C4C23×C5911yescharacteristic
1059C2×C22⋊C4C23×C5911yescharacteristic
1060C2×C22⋊C4C23×C5911yescharacteristic
1061C2×C22⋊C4C23×C5911yescharacteristic
1062C2×C42—42no—
1063C2×C42—42no—
1064C2×C42C23×C5911yescharacteristic
1065C2×C42C23×C5911yescharacteristic
1066C2×C42C23×C5911yescharacteristic
1067C2×C42C23×C5911yescharacteristic
1068C2×C42C23×C5911yescharacteristic
1069C2×C42C23×C5911yescharacteristic
1070C2×C42C23×C5911yescharacteristic
1071C2×C42C23×C5911yescharacteristic
1072C2×C42C23×C5911yescharacteristic
1073C2×C42C23×C5911yescharacteristic
1074C2×C42C23×C5911yescharacteristic
1075C2×C42C23×C5911yescharacteristic
1076C2×C42C23×C5911yescharacteristic
1077C2×C42C23×C5911yescharacteristic
1078C2×C42C23×C5911yescharacteristic
1079C2×C42C23×C5911yescharacteristic
1080C2×C42C23×C5911yescharacteristic
1081C2×C42C23×C5911yescharacteristic
1082#95C23×C5911yescharacteristic
1083#95C23×C5911yescharacteristic
1084#95C23×C5911yescharacteristic
1085#95C23×C5911yescharacteristic
1086#95C23×C5911yescharacteristic
1087#95C23×C5911yescharacteristic
1088#95C23×C5911yescharacteristic
1089#95C23×C5911yescharacteristic
1090#95C23×C5911yescharacteristic
1091#95C23×C5911yescharacteristic
1092#95C23×C5911yescharacteristic
1093#95C23×C5911yescharacteristic
1094#95C23×C5911yescharacteristic
1095#95C23×C5911yescharacteristic
1096#95C23×C5911yescharacteristic
1097#95C23×C5911yescharacteristic
1098#95C23×C5911yescharacteristic
1099#95C23×C5911yescharacteristic
1100#95C23×C5911yescharacteristic
1101#95C23×C5911yescharacteristic
1102#95C23×C5911yescharacteristic
1103#95C23×C5911yescharacteristic
1104#95C23×C5911yescharacteristic
1105#95C23×C5911yescharacteristic
1106#95C23×C5911yescharacteristic
1107#95C23×C5911yescharacteristic
1108#95C23×C5911yescharacteristic
1109#95C23×C5911yescharacteristic
1110#95C23×C5911yescharacteristic
1111#95C23×C5911yescharacteristic
1112#95C23×C5911yescharacteristic
1113#95C23×C5911yescharacteristic
1114#95C23×C5911yescharacteristic
1115#95C23×C5911yescharacteristic
1116#95C23×C5911yescharacteristic
1117#95C23×C5911yescharacteristic
1118#95C23×C5911yescharacteristic
1119#95C23×C5911yescharacteristic
1120#95C23×C5911yescharacteristic
1121#95C23×C5911yescharacteristic
1122#95C23×C5911yescharacteristic
1123#95C23×C5911yescharacteristic
1124#95C23×C5911yescharacteristic
1125#95C23×C5911yescharacteristic
1126C24C24×C5911yescharacteristic
1127C24C24×C5911yescharacteristic
1128C24C24×C5911yescharacteristic
1129C24C24×C5911yescharacteristic
1130C24C24×C5911yescharacteristic
1131C2×Q8—22no—
1132C2×Q8—22no—
1133C2×Q8—41no—
1134C2×Q8—41no—
1135C2×Q8—41no—
1136C2×Q8—41no—
1137C2×D4—22no—
1138C2×D4—22no—
1139C2×D4—22no—
1140C2×D4—22no—
1141C2×D4—22no—
1142C2×D4—22no—
1143C2×D4—22no—
1144C2×D4—22no—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—41no—
1150C2×D4—41no—
1151C2×D4—41no—
1152C2×D4—41no—
1153C2×D4—41no—
1154C2×D4—41no—
1155C2×D4—41no—
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4—41no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4#41×C5914yes—
1194C22×C4C24×C5911yescharacteristic
1195C22×C4C24×C5911yescharacteristic
1196C22×C4C24×C5911yescharacteristic
1197C22×C4C24×C5911yescharacteristic
1198C22×C4C24×C5911yescharacteristic
1199C22×C4C24×C5911yescharacteristic
1200C22×C4C24×C5911yescharacteristic
1201C22×C4C24×C5911yescharacteristic
1202C22×C4C24×C5911yescharacteristic
1203C22×C4C24×C5911yescharacteristic
1204C22×C4C24×C5911yescharacteristic
1205C22×C4C24×C5911yescharacteristic
1206C22×C4C24×C5911yescharacteristic
1207C22×C4C24×C5911yescharacteristic
1208C22×C4C24×C5911yescharacteristic
1209C22×C4C24×C5911yescharacteristic
1210C22×C4C24×C5911yescharacteristic
1211C22×C4C24×C5911yescharacteristic
1212C22×C4C24×C5911yescharacteristic
1213C22×C4C24×C5911yescharacteristic
1214C22×C4C24×C5911yescharacteristic
1215C22×C4C24×C5911yescharacteristic
1216C22×C4C24×C5911yescharacteristic
1217C22×C4C24×C5911yescharacteristic
1218C22×C4C24×C5911yescharacteristic
1219C22×C4C24×C5911yescharacteristic
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4#41×C5914yes—
1246C22⋊C4—22no—
1247C22⋊C4—22no—
1248C22⋊C4—22no—
1249C22⋊C4—22no—
1250C22⋊C4—22no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—22no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4#41×C5914yes—
1292C42—22no—
1293C42—22no—
1294C42—22no—
1295C42—22no—
1296C42—22no—
1297C42—22no—
1298C42—22no—
1299C42—22no—
1300C42—41no—
1301C42—41no—
1302C42—41no—
1303C42—41no—
1304C42—41no—
1305C42—41no—
1306C42—41no—
1307C42—41no—
1308C42—41no—
1309C42—41no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23C2×#41×C5912yes—
1344C23C2×#41×C5912yes—
1345C23C25×C5911yescharacteristic
1346Q8—82no—
1347Q8—82no—
1348D4—28no—
1349D4—44no—
1350D4—44no—
1351D4—44no—
1352D4—44no—
1353D4—82no—
1354D4—82no—
1355D4—82no—
1356D4—82no—
1357D4—82no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—44no—
1428C2×C4—44no—
1429C2×C4—44no—
1430C2×C4—44no—
1431C2×C4—44no—
1432C2×C4—44no—
1433C2×C4—82no—
1434C2×C4—82no—
1435C2×C4—82no—
1436C2×C4C2×#41×C5912yes—
1437C2×C4C2×#41×C5912yes—
1438C2×C4C2×#41×C5912yes—
1439C2×C4C2×#41×C5912yes—
1440C2×C4C2×#41×C5912yes—
1441C2×C4C2×#41×C5912yes—
1442C2×C4C2×#41×C5912yes—
1443C2×C4H(5,𝔽2)×C5912yes—
1444C2×C4H(5,𝔽2)×C5912yes—
1445C22—22no—
1446C22—22no—
1447C22—22no—
1448C22—22no—
1449C22—22no—
1450C22—22no—
1451C22—41no—
1452C22—41no—
1453C22—41no—
1454C22—41no—
1455C22—41no—
1456C22—41no—
1457C22—41no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22C22×#41×C5911yescharacteristic
1481C22C22×#41×C5911yescharacteristic
1482C22C22×#41×C5911yescharacteristic
1483C22C2×H(5,𝔽2)×C5911yescharacteristic
1484C22C2×H(5,𝔽2)×C5911yescharacteristic
1485C22C59×#58511yescharacteristic
1486C22C59×#58511yescharacteristic
1487C4—22no—
1488C4—22no—
1489C4—22no—
1490C4—22no—
1491C4—22no—
1492C4—22no—
1493C4—22no—
1494C4—22no—
1495C4—22no—
1496C4—41no—
1497C4—41no—
1498C4—41no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C2—42no—
1514C2—42no—
1515C2—81no—
1516C2—81no—
1517C2—81no—
1518C2C59×#344411yescharacteristic
1519C2C59×#345911yescharacteristic
1520C2C59×#346011yescharacteristic
1521C2C59×#351311yescharacteristic
1522C2C59×#351411yescharacteristic
1523C2C59×#351911yescharacteristic
1524C2C59×#352411yescharacteristic
subgroupG/H
center, socleC23×C59C25
commutator, Frattini, cosocleC23C25×C59
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C59 ◁ G

Complements

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

NH ≅ G/Ntype
1. C59×#2865C2semidirect
2. C59×#2861C2semidirect
3. C59×#2853C2semidirect
4. C59×#2850C2semidirect
5. C59×#2665C2semidirect
6. C59×#2661C2semidirect
7. C59×#2635C2semidirect
8. C59×#2630C2semidirect
9. C59×#2593C2semidirect
10. C59×#2573C2semidirect
11. C59×#2556C2semidirect
12. C59×#2555C2semidirect
13. C59×#2520C2semidirect
14. C59×#2518C2semidirect
15. C59×#2516C2semidirect
16. C59×#2463C2semidirect
17. C59×#2461C2semidirect
18. C59×#2460C2semidirect
19. C59×#2459C2semidirect
20. C59×#2459C2semidirect
21. C59×#2459C2semidirect
22. C59×#2457C2semidirect
23. C59×#2456C2semidirect
24. C59×#2456C2semidirect
25. C59×#2337C2semidirect
26. C59×#2335C2semidirect
27. C59×#2333C2semidirect
28. C59×#2332C2semidirect
29. C4×#123×C59C2semidirect
30. C4×#121×C59C2semidirect
31. C42×D4×C59C2semidirect
682. #35071C59direct (N × H)
751. #2865C2×C59semidirect
752. #2861C2×C59semidirect
753. #2853C2×C59semidirect
754. #2850C2×C59semidirect
755. #2665C2×C59semidirect
756. #2661C2×C59semidirect
757. #2635C2×C59semidirect
758. #2630C2×C59semidirect
759. #2593C2×C59semidirect
760. #2573C2×C59semidirect
761. #2556C2×C59semidirect
762. #2555C2×C59semidirect
763. #2520C2×C59semidirect
764. #2518C2×C59semidirect
765. #2516C2×C59semidirect
766. #2463C2×C59semidirect
767. #2461C2×C59semidirect
768. #2460C2×C59semidirect
769. #2459C2×C59semidirect
770. #2459C2×C59semidirect
771. #2459C2×C59semidirect
772. #2457C2×C59semidirect
773. #2456C2×C59semidirect
774. #2456C2×C59semidirect
775. #2337C2×C59semidirect
776. #2335C2×C59semidirect
777. #2333C2×C59semidirect
778. #2332C2×C59semidirect
779. C4×#123C2×C59semidirect
780. C4×#121C2×C59semidirect
781. C42×D4C2×C59semidirect
949. C59#35071direct (N × H)

Maximal subgroups

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

subgroupindex
C59×#28652
C59×#28612
C59×#28532
C59×#28502
C59×#26652
C59×#26612
C59×#26352
C59×#26302
C59×#25932
C59×#25732
C59×#25562
C59×#25552
C59×#25202
C59×#25182
C59×#25162
C59×#24632
C59×#24612
C59×#24602
C59×#24592
C59×#24572
C59×#24562
C59×#23372
C59×#23352
C59×#23332
C59×#23322
C4×#123×C592
C4×#121×C592
C42×D4×C592
#3507159