Finite Group Databasebeta

← C59×#35096 #28447205

Subgroups — C59×#35096 #28447205

Order 15104.

2342 conjugacy classes of subgroups.

The subgroup lattice has 1536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C59×#539C211yesmaximal, characteristic, complemented
2C2×C4×#41×C59C211yesmaximal, characteristic, complemented
3C59×#2855C211yesmaximal, characteristic, complemented
4C59×#2853C211yesmaximal, characteristic, complemented
5C59×#2852C211yesmaximal, characteristic, complemented
6C59×#2851C211yesmaximal, characteristic, complemented
7C59×#2638C211yesmaximal, characteristic, complemented
8C59×#2637C211yesmaximal, characteristic, complemented
9C59×#2634C211yesmaximal, characteristic, complemented
10C59×#2630C211yesmaximal, characteristic, complemented
11C59×#2478C211yesmaximal, characteristic, complemented
12C59×#2477C211yesmaximal, characteristic, complemented
13C59×#2475C211yesmaximal, characteristic, complemented
14C59×#2470C211yesmaximal, characteristic, complemented
15C59×#2468C211yesmaximal, characteristic, complemented
16C59×#2465C211yesmaximal, characteristic, complemented
17C59×#2462C211yesmaximal, characteristic, complemented
18C59×#2457C211yesmaximal, characteristic, complemented
19C59×#2450C211yesmaximal, characteristic, complemented
20C59×#2444C211yesmaximal, characteristic, complemented
21C59×#2438C211yesmaximal, characteristic, complemented
22C59×#2430C211yesmaximal, characteristic
23C59×#2425C211yesmaximal, characteristic, complemented
24C59×#2419C211yesmaximal, characteristic, complemented
25C59×#2413C211yesmaximal, characteristic, complemented
26C59×#2406C211yesmaximal, characteristic, complemented
27C59×#2325C211yesmaximal, characteristic, complemented
28C59×#2322C211yesmaximal, characteristic, complemented
29C59×#2318C211yesmaximal, characteristic, complemented
30C4×#123×C59C211yesmaximal, characteristic, complemented
31C2×C59×#387C211yesmaximal, characteristic, complemented
32C22×#41×C59C2211yescharacteristic
33C59×#539—28no—
34C2×#126×C59C2211yescharacteristic
35C2×#126×C59C2211yescharacteristic
36C2×#125×C59C2211yescharacteristic
37C2×#125×C59C2211yescharacteristic
38C2×#123×C59C2211yescharacteristic
39C2×#123×C59C2211yescharacteristic
40C2×#123×C59C2211yescharacteristic
41C2×#123×C59C2211yescharacteristic
42C2×#123×C59C2211yescharacteristic
43C2×#123×C59C2211yescharacteristic
44C2×C22⋊Q8×C59C2211yescharacteristic
45C2×C22⋊Q8×C59C2211yescharacteristic
46C2×C22⋊Q8×C59C2211yescharacteristic
47C2×#121×C59C2211yescharacteristic
48C2×#121×C59C2211yescharacteristic
49C4×#41×C59—28no—
50C2×C4×Q8×C59C2211yescharacteristic
51C2×C4×Q8×C59C2211yescharacteristic
52C2×C4×D4×C59C2211yescharacteristic
53C2×C4×D4×C59C2211yescharacteristic
54C2×C4×D4×C59C2211yescharacteristic
55C2×C4×D4×C59C2211yescharacteristic
56C2×C4×D4×C59C2211yescharacteristic
57C2×C4×D4×C59C2211yescharacteristic
58C2×C4×D4×C59C2211yescharacteristic
59C2×#117×C59C2211yescharacteristic
60C2×#117×C59C2211yescharacteristic
61C2×#117×C59C2211yescharacteristic
62C22×C4⋊C4×C59C2211yescharacteristic
63C22×C4⋊C4×C59C2211yescharacteristic
64C22×C42×C59C2211yescharacteristic
65C22×C42×C59C2211yescharacteristic
66C22×C42×C59C2211yescharacteristic
67C59×#400C2211yescharacteristic
68C59×#400C2211yescharacteristic
69C59×#400C2211yescharacteristic
70C59×#400C2211yescharacteristic
71C59×#398C2211yescharacteristic
72C59×#398C2211yescharacteristic
73C59×#398C2211yescharacteristic
74C59×#398C2211yescharacteristic
75C59×#398C2211yescharacteristic
76C59×#398C2211yescharacteristic
77C59×#398C2211yescharacteristic
78C59×#397C2211yescharacteristic
79C59×#397C2211yescharacteristic
80C59×#397C2211yescharacteristic
81C59×#397C2211yescharacteristic
82C59×#397C2211yescharacteristic
83C59×#396C2211yescharacteristic
84C59×#396C2211yescharacteristic
85C59×#396C2211yescharacteristic
86C59×#396C2211yescharacteristic
87C59×#395C2211yescharacteristic
88C59×#395C2211yescharacteristic
89C59×#395C2211yescharacteristic
90C59×#395C2211yescharacteristic
91C59×#394C2211yescharacteristic
92C59×#394C2211yescharacteristic
93C59×#394C2211yescharacteristic
94C59×#394C2211yescharacteristic
95C59×#394C2211yescharacteristic
96C59×#393C2211yescharacteristic
97C59×#393C2211yescharacteristic
98C59×#392C2211yescharacteristic
99C59×#391C2211yescharacteristic
100C59×#391C2211yescharacteristic
101C59×#389C2211yescharacteristic
102C59×#389C2211yescharacteristic
103C59×#389C2211yescharacteristic
104C59×#389C2211yescharacteristic
105C59×#389C2211yescharacteristic
106C59×#389C2211yescharacteristic
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
120C59×#387C2211yescharacteristic
121C59×#387C2211yescharacteristic
122C59×#387C2211yescharacteristic
123C59×#387C2211yescharacteristic
124C59×#387C2211yescharacteristic
125C59×#387C2211yescharacteristic
126C59×#387C2211yescharacteristic
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×#386C2211yescharacteristic
142C59×#386C2211yescharacteristic
143C59×#386C2211yescharacteristic
144C59×#386C2211yescharacteristic
145C59×#386C2211yescharacteristic
146C59×#386C2211yescharacteristic
147C59×#386C2211yescharacteristic
148C59×#386C2211yescharacteristic
149C59×#386C2211yescharacteristic
150C59×#386C2211yescharacteristic
151C59×#386C2211yescharacteristic
152C59×#386C2211yescharacteristic
153C59×#385C2211yescharacteristic
154C59×#385C2211yescharacteristic
155C59×#385C2211yescharacteristic
156C59×#385C2211yescharacteristic
157C59×#385C2211yescharacteristic
158C59×#385C2211yescharacteristic
159C59×#385C2211yescharacteristic
160C59×#385C2211yescharacteristic
161C59×#385C2211yescharacteristic
162C59×#385C2211yescharacteristic
163C59×#385C2211yescharacteristic
164C59×#385C2211yescharacteristic
165C59×#385C2211yescharacteristic
166C59×#385C2211yescharacteristic
167C59×#385C2211yescharacteristic
168C59×#385C2211yescharacteristic
169C59×#383C2211yescharacteristic
170C59×#382C2211yescharacteristic
171C59×#381C2211yescharacteristic
172C59×#381C2211yescharacteristic
173C59×#381C2211yescharacteristic
174C59×#381C2211yescharacteristic
175C59×#381C2211yescharacteristic
176C59×#380C2211yescharacteristic
177C59×#380C2211yescharacteristic
178C59×#380C2211yescharacteristic
179C59×#380C2211yescharacteristic
180C4×C4⋊C4×C59C2211yescharacteristic
181C4×C4⋊C4×C59C2211yescharacteristic
182C4×C22⋊C4×C59C2211yescharacteristic
183C4×C22⋊C4×C59C2211yescharacteristic
184C4×C22⋊C4×C59C2211yescharacteristic
185C2×#95×C59C2211yescharacteristic
186C2×#95×C59C2211yescharacteristic
187C2×#95×C59C2211yescharacteristic
188C2×#95×C59C2211yescharacteristic
189C2×#41×C59—24no—
190C2×#41×C59—24no—
191C2×#41×C59—24no—
192C22×Q8×C59C2311yescharacteristic
193C22×Q8×C59C2311yescharacteristic
194C22×D4×C59C2311yescharacteristic
195C22×D4×C59C2311yescharacteristic
196C22×D4×C59C2311yescharacteristic
197C22×D4×C59C2311yescharacteristic
198C22×D4×C59C2311yescharacteristic
199C22×D4×C59C2311yescharacteristic
200C23×C4×C59C2311yescharacteristic
201C23×C4×C59C2311yescharacteristic
202C23×C4×C59C2311yescharacteristic
203C23×C4×C59C2311yescharacteristic
204C23×C4×C59C2311yescharacteristic
205C23×C4×C59C2311yescharacteristic
206C23×C4×C59C2311yescharacteristic
207C23×C4×C59C2311yescharacteristic
208C23×C4×C59C2311yescharacteristic
209C23×C4×C59C2311yescharacteristic
210C23×C4×C59C2311yescharacteristic
211C23×C4×C59C2311yescharacteristic
212C23×C4×C59C2311yescharacteristic
213C23×C4×C59C2311yescharacteristic
214#126×C59—24no—
215#126×C59—24no—
216#125×C59—24no—
217#125×C59—24no—
218#123×C59—24no—
219#123×C59—24no—
220#123×C59—24no—
221#123×C59—24no—
222#123×C59—24no—
223#123×C59—24no—
224C22⋊Q8×C59—24no—
225C22⋊Q8×C59—24no—
226C22⋊Q8×C59—24no—
227#121×C59—24no—
228#121×C59—24no—
229C4×Q8×C59—24no—
230C4×Q8×C59—24no—
231C4×D4×C59—24no—
232C4×D4×C59—24no—
233C4×D4×C59—24no—
234C4×D4×C59—24no—
235C4×D4×C59—24no—
236C4×D4×C59—24no—
237C4×D4×C59D418yescomplemented
238#117×C59—24no—
239#117×C59—24no—
240#117×C59—24no—
241C2×C4⋊C4×C59—24no—
242C2×C4⋊C4×C59—24no—
243C2×C4⋊C4×C59C2311yescharacteristic
244C2×C4⋊C4×C59C2311yescharacteristic
245C2×C4⋊C4×C59C2311yescharacteristic
246C2×C4⋊C4×C59C2311yescharacteristic
247C2×C4⋊C4×C59C2311yescharacteristic
248C2×C4⋊C4×C59C2311yescharacteristic
249C2×C4⋊C4×C59C2311yescharacteristic
250C2×C4⋊C4×C59C2311yescharacteristic
251C2×C4⋊C4×C59C2311yescharacteristic
252C2×C4⋊C4×C59C2311yescharacteristic
253C2×C4⋊C4×C59C2311yescharacteristic
254C2×C4⋊C4×C59C2311yescharacteristic
255C2×C4⋊C4×C59C2311yescharacteristic
256C2×C4⋊C4×C59C2311yescharacteristic
257C2×C4⋊C4×C59C2311yescharacteristic
258C2×C4⋊C4×C59C2311yescharacteristic
259C2×C4⋊C4×C59C2311yescharacteristic
260C2×C4⋊C4×C59C2311yescharacteristic
261C2×C4⋊C4×C59C2311yescharacteristic
262C2×C4⋊C4×C59C2311yescharacteristic
263C2×C4⋊C4×C59C2311yescharacteristic
264C2×C4⋊C4×C59C2311yescharacteristic
265C2×C4⋊C4×C59C2311yescharacteristic
266C2×C4⋊C4×C59C2311yescharacteristic
267C2×C4⋊C4×C59C2311yescharacteristic
268C2×C4⋊C4×C59C2311yescharacteristic
269C2×C4⋊C4×C59C2311yescharacteristic
270C2×C4⋊C4×C59C2311yescharacteristic
271C2×C4⋊C4×C59C2311yescharacteristic
272C2×C4⋊C4×C59C2311yescharacteristic
273C2×C4⋊C4×C59C2311yescharacteristic
274C2×C4⋊C4×C59C2311yescharacteristic
275C2×C4⋊C4×C59C2311yescharacteristic
276C2×C4⋊C4×C59C2311yescharacteristic
277C2×C4⋊C4×C59C2311yescharacteristic
278C2×C4⋊C4×C59C2311yescharacteristic
279C2×C4⋊C4×C59C2311yescharacteristic
280C2×C4⋊C4×C59C2311yescharacteristic
281C2×C22⋊C4×C59C2311yescharacteristic
282C2×C22⋊C4×C59C2311yescharacteristic
283C2×C22⋊C4×C59C2311yescharacteristic
284C2×C22⋊C4×C59C2311yescharacteristic
285C2×C22⋊C4×C59C2311yescharacteristic
286C2×C22⋊C4×C59C2311yescharacteristic
287C2×C22⋊C4×C59C2311yescharacteristic
288C2×C22⋊C4×C59C2311yescharacteristic
289C2×C22⋊C4×C59C2311yescharacteristic
290C2×C22⋊C4×C59C2311yescharacteristic
291C2×C22⋊C4×C59C2311yescharacteristic
292C2×C22⋊C4×C59C2311yescharacteristic
293C2×C22⋊C4×C59C2311yescharacteristic
294C2×C22⋊C4×C59C2311yescharacteristic
295C2×C22⋊C4×C59C2311yescharacteristic
296C2×C22⋊C4×C59C2311yescharacteristic
297C2×C22⋊C4×C59C2311yescharacteristic
298C2×C22⋊C4×C59C2311yescharacteristic
299C2×C22⋊C4×C59C2311yescharacteristic
300C2×C22⋊C4×C59C2311yescharacteristic
301C2×C22⋊C4×C59C2311yescharacteristic
302C2×C22⋊C4×C59C2311yescharacteristic
303C2×C22⋊C4×C59C2311yescharacteristic
304C2×C22⋊C4×C59C2311yescharacteristic
305C2×C22⋊C4×C59C2311yescharacteristic
306C2×C22⋊C4×C59C2311yescharacteristic
307C2×C22⋊C4×C59C2311yescharacteristic
308C2×C22⋊C4×C59C2311yescharacteristic
309C2×C22⋊C4×C59C2311yescharacteristic
310C2×C22⋊C4×C59C2311yescharacteristic
311C2×C22⋊C4×C59C2311yescharacteristic
312C2×C22⋊C4×C59C2311yescharacteristic
313C2×C22⋊C4×C59C2311yescharacteristic
314C2×C22⋊C4×C59C2311yescharacteristic
315C2×C42×C59—24no—
316C2×C42×C59—24no—
317C2×C42×C59—24no—
318C2×C42×C59C2311yescharacteristic
319C2×C42×C59C2311yescharacteristic
320C2×C42×C59C2311yescharacteristic
321C2×C42×C59C2311yescharacteristic
322C2×C42×C59C2311yescharacteristic
323C2×C42×C59C2311yescharacteristic
324C2×C42×C59C2311yescharacteristic
325C2×C42×C59C2311yescharacteristic
326C2×C42×C59C2311yescharacteristic
327C2×C42×C59C2311yescharacteristic
328C2×C42×C59C2311yescharacteristic
329C2×C42×C59C2311yescharacteristic
330C2×C42×C59C2311yescharacteristic
331#95×C59C2311yescharacteristic
332#95×C59C2311yescharacteristic
333#95×C59C2311yescharacteristic
334#95×C59C2311yescharacteristic
335#95×C59C2311yescharacteristic
336#95×C59C2311yescharacteristic
337#95×C59C2311yescharacteristic
338#95×C59C2311yescharacteristic
339#95×C59C2311yescharacteristic
340#95×C59C2311yescharacteristic
341#95×C59C2311yescharacteristic
342#95×C59C2311yescharacteristic
343#95×C59C2311yescharacteristic
344#95×C59C2311yescharacteristic
345#95×C59C2311yescharacteristic
346#95×C59C2311yescharacteristic
347#95×C59C2311yescharacteristic
348#95×C59C2311yescharacteristic
349#95×C59C2311yescharacteristic
350#95×C59C2311yescharacteristic
351#95×C59C2311yescharacteristic
352#95×C59C2311yescharacteristic
353#95×C59C2311yescharacteristic
354#95×C59C2311yescharacteristic
355#95×C59C2311yescharacteristic
356#95×C59C2311yescharacteristic
357#95×C59C2311yescharacteristic
358#95×C59C2311yescharacteristic
359#95×C59C2311yescharacteristic
360#95×C59C2311yescharacteristic
361#95×C59C2311yescharacteristic
362#95×C59C2311yescharacteristic
363#95×C59C2311yescharacteristic
364#95×C59C2311yescharacteristic
365#95×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369#95×C59C2311yescharacteristic
370#95×C59C2311yescharacteristic
371#95×C59C2311yescharacteristic
372#95×C59C2311yescharacteristic
373#95×C59C2311yescharacteristic
374#95×C59C2311yescharacteristic
375#95×C59C2311yescharacteristic
376#95×C59C2311yescharacteristic
377#95×C59C2311yescharacteristic
378#95×C59C2311yescharacteristic
379C24×C59C2411yescharacteristic
380C24×C59C2411yescharacteristic
381C24×C59C2411yescharacteristic
382C24×C59C2411yescharacteristic
383#41×C59—232no—
384C2×Q8×C59—22no—
385C2×Q8×C59—22no—
386C2×Q8×C59—22no—
387C2×Q8×C59—22no—
388C2×Q8×C59—41no—
389C2×Q8×C59—41no—
390C2×D4×C59—22no—
391C2×D4×C59—22no—
392C2×D4×C59—22no—
393C2×D4×C59—22no—
394C2×D4×C59—22no—
395C2×D4×C59—22no—
396C2×D4×C59—22no—
397C2×D4×C59—22no—
398C2×D4×C59—22no—
399C2×D4×C59—22no—
400C2×D4×C59—22no—
401C2×D4×C59—22no—
402C2×D4×C59—41no—
403C2×D4×C59—41no—
404C2×D4×C59—41no—
405C2×D4×C59—41no—
406C2×D4×C59C2×D414yes—
407C2×D4×C59#4114yes—
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—22no—
417C22×C4×C59—22no—
418C22×C4×C59—22no—
419C22×C4×C59—22no—
420C22×C4×C59—22no—
421C22×C4×C59—22no—
422C22×C4×C59—22no—
423C22×C4×C59—22no—
424C22×C4×C59—22no—
425C22×C4×C59—22no—
426C22×C4×C59—22no—
427C22×C4×C59—22no—
428C22×C4×C59—22no—
429C22×C4×C59—22no—
430C22×C4×C59—41no—
431C22×C4×C59—41no—
432C22×C4×C59—41no—
433C22×C4×C59—41no—
434C22×C4×C59—41no—
435C22×C4×C59—41no—
436C22×C4×C59—41no—
437C22×C4×C59—41no—
438C22×C4×C59—41no—
439C22×C4×C59—41no—
440C22×C4×C59—41no—
441C22×C4×C59—41no—
442C22×C4×C59—41no—
443C22×C4×C59—41no—
444C22×C4×C59—41no—
445C22×C4×C59—41no—
446C22×C4×C59—41no—
447C22×C4×C59C2×D414yes—
448C22×C4×C59C2×D414yes—
449C22×C4×C59#4114yes—
450C22×C4×C59C2411yescharacteristic
451C22×C4×C59C2411yescharacteristic
452C22×C4×C59C2411yescharacteristic
453C22×C4×C59C2411yescharacteristic
454C22×C4×C59C2411yescharacteristic
455C22×C4×C59C2411yescharacteristic
456C22×C4×C59C2411yescharacteristic
457C22×C4×C59C2411yescharacteristic
458C22×C4×C59C2411yescharacteristic
459C22×C4×C59C2411yescharacteristic
460C22×C4×C59C2411yescharacteristic
461C22×C4×C59C2411yescharacteristic
462C22×C4×C59C2411yescharacteristic
463C22×C4×C59C2411yescharacteristic
464C22×C4×C59C2411yescharacteristic
465C22×C4×C59C2411yescharacteristic
466C22×C4×C59C2411yescharacteristic
467C22×C4×C59C2411yescharacteristic
468C22×C4×C59C2411yescharacteristic
469C22×C4×C59C2411yescharacteristic
470C22×C4×C59C2411yescharacteristic
471C22×C4×C59C2411yescharacteristic
472C22×C4×C59C2411yescharacteristic
473C22×C4×C59C2411yescharacteristic
474C22×C4×C59C2411yescharacteristic
475C22×C4×C59C2411yescharacteristic
476C22×C4×C59C2411yescharacteristic
477C4⋊C4×C59—22no—
478C4⋊C4×C59—22no—
479C4⋊C4×C59—22no—
480C4⋊C4×C59—22no—
481C4⋊C4×C59—22no—
482C4⋊C4×C59—22no—
483C4⋊C4×C59—22no—
484C4⋊C4×C59—22no—
485C4⋊C4×C59—22no—
486C4⋊C4×C59—22no—
487C4⋊C4×C59—22no—
488C4⋊C4×C59—22no—
489C4⋊C4×C59—22no—
490C4⋊C4×C59—22no—
491C4⋊C4×C59—22no—
492C4⋊C4×C59—22no—
493C4⋊C4×C59—22no—
494C4⋊C4×C59—22no—
495C4⋊C4×C59—22no—
496C4⋊C4×C59—22no—
497C4⋊C4×C59—22no—
498C4⋊C4×C59—22no—
499C4⋊C4×C59—22no—
500C4⋊C4×C59—22no—
501C4⋊C4×C59—22no—
502C4⋊C4×C59—22no—
503C4⋊C4×C59—22no—
504C4⋊C4×C59—22no—
505C4⋊C4×C59—41no—
506C4⋊C4×C59—41no—
507C4⋊C4×C59—41no—
508C4⋊C4×C59—41no—
509C4⋊C4×C59—41no—
510C4⋊C4×C59—41no—
511C4⋊C4×C59—41no—
512C4⋊C4×C59—41no—
513C4⋊C4×C59—41no—
514C4⋊C4×C59C2×D414yes—
515C22⋊C4×C59—22no—
516C22⋊C4×C59—22no—
517C22⋊C4×C59—22no—
518C22⋊C4×C59—22no—
519C22⋊C4×C59—22no—
520C22⋊C4×C59—22no—
521C22⋊C4×C59—22no—
522C22⋊C4×C59—22no—
523C22⋊C4×C59—22no—
524C22⋊C4×C59—22no—
525C22⋊C4×C59—22no—
526C22⋊C4×C59—22no—
527C22⋊C4×C59—22no—
528C22⋊C4×C59—22no—
529C22⋊C4×C59—22no—
530C22⋊C4×C59—22no—
531C22⋊C4×C59—22no—
532C22⋊C4×C59—22no—
533C22⋊C4×C59—22no—
534C22⋊C4×C59—22no—
535C22⋊C4×C59—22no—
536C22⋊C4×C59—41no—
537C22⋊C4×C59—41no—
538C22⋊C4×C59—41no—
539C22⋊C4×C59—41no—
540C22⋊C4×C59—41no—
541C22⋊C4×C59—41no—
542C22⋊C4×C59—41no—
543C22⋊C4×C59—41no—
544C22⋊C4×C59—41no—
545C22⋊C4×C59—41no—
546C22⋊C4×C59—41no—
547C22⋊C4×C59C2×D414yes—
548C22⋊C4×C59C2×D414yes—
549C42×C59—22no—
550C42×C59—22no—
551C42×C59—22no—
552C42×C59—22no—
553C42×C59—22no—
554C42×C59—22no—
555C42×C59—22no—
556C42×C59—22no—
557C42×C59—22no—
558C42×C59—22no—
559C42×C59—41no—
560C42×C59—41no—
561C42×C59C2×D414yes—
562C23×C59—21no—
563C23×C59—21no—
564C23×C59—21no—
565C23×C59—21no—
566C23×C59—21no—
567C23×C59—21no—
568C23×C59—21no—
569C23×C59—21no—
570C23×C59—21no—
571C23×C59—21no—
572C23×C59—21no—
573C23×C59—21no—
574C23×C59—21no—
575C23×C59—21no—
576C23×C59—21no—
577C23×C59—21no—
578C23×C59—21no—
579C23×C59—21no—
580C23×C59—21no—
581C23×C59—21no—
582C23×C59—21no—
583C23×C59—21no—
584C23×C59—21no—
585C23×C59C22×D412yes—
586C23×C59C22×D412yes—
587C23×C59C2×#4112yes—
588C23×C59C2×#4112yes—
589C23×C59C2×#4112yes—
590C23×C59C2511yescharacteristic
591Q8×C59—28no—
592Q8×C59—82no—
593D4×C59—28no—
594D4×C59—28no—
595D4×C59—28no—
596D4×C59—44no—
597D4×C59—82no—
598D4×C59—82no—
599C2×C4×C59—28no—
600C2×C4×C59—28no—
601C2×C4×C59—28no—
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—21no—
665C2×C4×C59—21no—
666C2×C4×C59—21no—
667C2×C4×C59—21no—
668C2×C4×C59—21no—
669C2×C4×C59—21no—
670C2×C4×C59—21no—
671C2×C4×C59—21no—
672C2×C4×C59—21no—
673C2×C4×C59—21no—
674C2×C4×C59—44no—
675C2×C4×C59—44no—
676C2×C4×C59—44no—
677C2×C4×C59—44no—
678C2×C4×C59—44no—
679C2×C4×C59—44no—
680C2×C4×C59—44no—
681C2×C4×C59—44no—
682C2×C4×C59—82no—
683C2×C4×C59—82no—
684C2×C4×C59—82no—
685C2×C4×C59C22×D412yes—
686C2×C4×C59C22×D412yes—
687C2×C4×C59C22×D412yes—
688C2×C4×C59C22×D412yes—
689C2×C4×C59C22×D412yes—
690C2×C4×C59C2×#4112yes—
691C2×C4×C59C2×#4112yes—
692C2×C4×C59C2×#4112yes—
693C2×C4×C592−1+412yes—
694#35096C5911yesmaximal, characteristic, direct product factor, Sylow
695C22×C59—22no—
696C22×C59—22no—
697C22×C59—22no—
698C22×C59—22no—
699C22×C59—22no—
700C22×C59—22no—
701C22×C59—22no—
702C22×C59—22no—
703C22×C59—22no—
704C22×C59—22no—
705C22×C59—22no—
706C22×C59—22no—
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×C59—41no—
719C22×C59—41no—
720C22×C59—41no—
721C22×C59—41no—
722C22×C59#52514yes—
723C22×C59C23×D411yescharacteristic
724C22×C59C22×#4111yescharacteristic
725C22×C59C22×#4111yescharacteristic
726C22×C59C2×2−1+411yescharacteristic
727C22×C59#58511yescharacteristic
728C22×C59#58511yescharacteristic
729C22×C59#58511yescharacteristic
730C4×C59—22no—
731C4×C59—22no—
732C4×C59—22no—
733C4×C59—22no—
734C4×C59—22no—
735C4×C59—22no—
736C4×C59—22no—
737C4×C59—22no—
738C4×C59—22no—
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—
751C4×C59—41no—
752C4×C59—41no—
753C4×C59—41no—
754C4×C59—41no—
755C4×C59—41no—
756C4×C59—41no—
757C2×#539C2×C5911yescharacteristic, complemented
758C2×C4×#41C2×C5911yescharacteristic, complemented
759#2855C2×C5911yescharacteristic, complemented
760#2853C2×C5911yescharacteristic, complemented
761#2852C2×C5911yescharacteristic, complemented
762#2851C2×C5911yescharacteristic, complemented
763#2638C2×C5911yescharacteristic, complemented
764#2637C2×C5911yescharacteristic, complemented
765#2634C2×C5911yescharacteristic, complemented
766#2630C2×C5911yescharacteristic, complemented
767#2478C2×C5911yescharacteristic, complemented
768#2477C2×C5911yescharacteristic, complemented
769#2475C2×C5911yescharacteristic, complemented
770#2470C2×C5911yescharacteristic, complemented
771#2468C2×C5911yescharacteristic, complemented
772#2465C2×C5911yescharacteristic, complemented
773#2462C2×C5911yescharacteristic, complemented
774#2457C2×C5911yescharacteristic, complemented
775#2450C2×C5911yescharacteristic, complemented
776#2444C2×C5911yescharacteristic, complemented
777#2438C2×C5911yescharacteristic, complemented
778#2430C2×C5911yescharacteristic
779#2425C2×C5911yescharacteristic, complemented
780#2419C2×C5911yescharacteristic, complemented
781#2413C2×C5911yescharacteristic, complemented
782#2406C2×C5911yescharacteristic, complemented
783#2325C2×C5911yescharacteristic, complemented
784#2322C2×C5911yescharacteristic, complemented
785#2318C2×C5911yescharacteristic, complemented
786C4×#123C2×C5911yescharacteristic, complemented
787C2×#387C2×C5911yescharacteristic, complemented
788C2×C59—24no—
789C2×C59—42no—
790C2×C59—42no—
791C2×C59—81no—
792C2×C59C2×#52511yescharacteristic
793C2×C59#345511yescharacteristic
794C2×C59#346111yescharacteristic
795C2×C59#348511yescharacteristic
796C2×C59#348911yescharacteristic
797C2×C59#351511yescharacteristic
798C2×C59#352111yescharacteristic
799C22×#41C22×C5911yescharacteristic
800#539—28no—
801C2×#126C22×C5911yescharacteristic
802C2×#126C22×C5911yescharacteristic
803C2×#125C22×C5911yescharacteristic
804C2×#125C22×C5911yescharacteristic
805C2×#123C22×C5911yescharacteristic
806C2×#123C22×C5911yescharacteristic
807C2×#123C22×C5911yescharacteristic
808C2×#123C22×C5911yescharacteristic
809C2×#123C22×C5911yescharacteristic
810C2×#123C22×C5911yescharacteristic
811C2×C22⋊Q8C22×C5911yescharacteristic
812C2×C22⋊Q8C22×C5911yescharacteristic
813C2×C22⋊Q8C22×C5911yescharacteristic
814C2×#121C22×C5911yescharacteristic
815C2×#121C22×C5911yescharacteristic
816C4×#41—28no—
817C2×C4×Q8C22×C5911yescharacteristic
818C2×C4×Q8C22×C5911yescharacteristic
819C2×C4×D4C22×C5911yescharacteristic
820C2×C4×D4C22×C5911yescharacteristic
821C2×C4×D4C22×C5911yescharacteristic
822C2×C4×D4C22×C5911yescharacteristic
823C2×C4×D4C22×C5911yescharacteristic
824C2×C4×D4C22×C5911yescharacteristic
825C2×C4×D4C22×C5911yescharacteristic
826C2×#117C22×C5911yescharacteristic
827C2×#117C22×C5911yescharacteristic
828C2×#117C22×C5911yescharacteristic
829C22×C4⋊C4C22×C5911yescharacteristic
830C22×C4⋊C4C22×C5911yescharacteristic
831C22×C42C22×C5911yescharacteristic
832C22×C42C22×C5911yescharacteristic
833C22×C42C22×C5911yescharacteristic
834#400C22×C5911yescharacteristic
835#400C22×C5911yescharacteristic
836#400C22×C5911yescharacteristic
837#400C22×C5911yescharacteristic
838#398C22×C5911yescharacteristic
839#398C22×C5911yescharacteristic
840#398C22×C5911yescharacteristic
841#398C22×C5911yescharacteristic
842#398C22×C5911yescharacteristic
843#398C22×C5911yescharacteristic
844#398C22×C5911yescharacteristic
845#397C22×C5911yescharacteristic
846#397C22×C5911yescharacteristic
847#397C22×C5911yescharacteristic
848#397C22×C5911yescharacteristic
849#397C22×C5911yescharacteristic
850#396C22×C5911yescharacteristic
851#396C22×C5911yescharacteristic
852#396C22×C5911yescharacteristic
853#396C22×C5911yescharacteristic
854#395C22×C5911yescharacteristic
855#395C22×C5911yescharacteristic
856#395C22×C5911yescharacteristic
857#395C22×C5911yescharacteristic
858#394C22×C5911yescharacteristic
859#394C22×C5911yescharacteristic
860#394C22×C5911yescharacteristic
861#394C22×C5911yescharacteristic
862#394C22×C5911yescharacteristic
863#393C22×C5911yescharacteristic
864#393C22×C5911yescharacteristic
865#392C22×C5911yescharacteristic
866#391C22×C5911yescharacteristic
867#391C22×C5911yescharacteristic
868#389C22×C5911yescharacteristic
869#389C22×C5911yescharacteristic
870#389C22×C5911yescharacteristic
871#389C22×C5911yescharacteristic
872#389C22×C5911yescharacteristic
873#389C22×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#387C22×C5911yescharacteristic
887#387C22×C5911yescharacteristic
888#387C22×C5911yescharacteristic
889#387C22×C5911yescharacteristic
890#387C22×C5911yescharacteristic
891#387C22×C5911yescharacteristic
892#387C22×C5911yescharacteristic
893#387C22×C5911yescharacteristic
894#387C22×C5911yescharacteristic
895#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#387C22×C5911yescharacteristic
906#387C22×C5911yescharacteristic
907#387C22×C5911yescharacteristic
908#386C22×C5911yescharacteristic
909#386C22×C5911yescharacteristic
910#386C22×C5911yescharacteristic
911#386C22×C5911yescharacteristic
912#386C22×C5911yescharacteristic
913#386C22×C5911yescharacteristic
914#386C22×C5911yescharacteristic
915#386C22×C5911yescharacteristic
916#386C22×C5911yescharacteristic
917#386C22×C5911yescharacteristic
918#386C22×C5911yescharacteristic
919#386C22×C5911yescharacteristic
920#385C22×C5911yescharacteristic
921#385C22×C5911yescharacteristic
922#385C22×C5911yescharacteristic
923#385C22×C5911yescharacteristic
924#385C22×C5911yescharacteristic
925#385C22×C5911yescharacteristic
926#385C22×C5911yescharacteristic
927#385C22×C5911yescharacteristic
928#385C22×C5911yescharacteristic
929#385C22×C5911yescharacteristic
930#385C22×C5911yescharacteristic
931#385C22×C5911yescharacteristic
932#385C22×C5911yescharacteristic
933#385C22×C5911yescharacteristic
934#385C22×C5911yescharacteristic
935#385C22×C5911yescharacteristic
936#383C22×C5911yescharacteristic
937#382C22×C5911yescharacteristic
938#381C22×C5911yescharacteristic
939#381C22×C5911yescharacteristic
940#381C22×C5911yescharacteristic
941#381C22×C5911yescharacteristic
942#381C22×C5911yescharacteristic
943#380C22×C5911yescharacteristic
944#380C22×C5911yescharacteristic
945#380C22×C5911yescharacteristic
946#380C22×C5911yescharacteristic
947C4×C4⋊C4C22×C5911yescharacteristic
948C4×C4⋊C4C22×C5911yescharacteristic
949C4×C22⋊C4C22×C5911yescharacteristic
950C4×C22⋊C4C22×C5911yescharacteristic
951C4×C22⋊C4C22×C5911yescharacteristic
952C2×#95C22×C5911yescharacteristic
953C2×#95C22×C5911yescharacteristic
954C2×#95C22×C5911yescharacteristic
955C2×#95C22×C5911yescharacteristic
956C59#3509611yescharacteristic, direct product factor, Sylow
957C2×#41—24no—
958C2×#41—24no—
959C2×#41—24no—
960C22×Q8C23×C5911yescharacteristic
961C22×Q8C23×C5911yescharacteristic
962C22×D4C23×C5911yescharacteristic
963C22×D4C23×C5911yescharacteristic
964C22×D4C23×C5911yescharacteristic
965C22×D4C23×C5911yescharacteristic
966C22×D4C23×C5911yescharacteristic
967C22×D4C23×C5911yescharacteristic
968C23×C4C23×C5911yescharacteristic
969C23×C4C23×C5911yescharacteristic
970C23×C4C23×C5911yescharacteristic
971C23×C4C23×C5911yescharacteristic
972C23×C4C23×C5911yescharacteristic
973C23×C4C23×C5911yescharacteristic
974C23×C4C23×C5911yescharacteristic
975C23×C4C23×C5911yescharacteristic
976C23×C4C23×C5911yescharacteristic
977C23×C4C23×C5911yescharacteristic
978C23×C4C23×C5911yescharacteristic
979C23×C4C23×C5911yescharacteristic
980C23×C4C23×C5911yescharacteristic
981C23×C4C23×C5911yescharacteristic
982#126—24no—
983#126—24no—
984#125—24no—
985#125—24no—
986#123—24no—
987#123—24no—
988#123—24no—
989#123—24no—
990#123—24no—
991#123—24no—
992C22⋊Q8—24no—
993C22⋊Q8—24no—
994C22⋊Q8—24no—
995#121—24no—
996#121—24no—
997C4×Q8—24no—
998C4×Q8—24no—
999C4×D4—24no—
1000C4×D4—24no—
1001C4×D4—24no—
1002C4×D4—24no—
1003C4×D4—24no—
1004C4×D4—24no—
1005C4×D4D4×C5918yescomplemented
1006#117—24no—
1007#117—24no—
1008#117—24no—
1009C2×C4⋊C4—24no—
1010C2×C4⋊C4—24no—
1011C2×C4⋊C4C23×C5911yescharacteristic
1012C2×C4⋊C4C23×C5911yescharacteristic
1013C2×C4⋊C4C23×C5911yescharacteristic
1014C2×C4⋊C4C23×C5911yescharacteristic
1015C2×C4⋊C4C23×C5911yescharacteristic
1016C2×C4⋊C4C23×C5911yescharacteristic
1017C2×C4⋊C4C23×C5911yescharacteristic
1018C2×C4⋊C4C23×C5911yescharacteristic
1019C2×C4⋊C4C23×C5911yescharacteristic
1020C2×C4⋊C4C23×C5911yescharacteristic
1021C2×C4⋊C4C23×C5911yescharacteristic
1022C2×C4⋊C4C23×C5911yescharacteristic
1023C2×C4⋊C4C23×C5911yescharacteristic
1024C2×C4⋊C4C23×C5911yescharacteristic
1025C2×C4⋊C4C23×C5911yescharacteristic
1026C2×C4⋊C4C23×C5911yescharacteristic
1027C2×C4⋊C4C23×C5911yescharacteristic
1028C2×C4⋊C4C23×C5911yescharacteristic
1029C2×C4⋊C4C23×C5911yescharacteristic
1030C2×C4⋊C4C23×C5911yescharacteristic
1031C2×C4⋊C4C23×C5911yescharacteristic
1032C2×C4⋊C4C23×C5911yescharacteristic
1033C2×C4⋊C4C23×C5911yescharacteristic
1034C2×C4⋊C4C23×C5911yescharacteristic
1035C2×C4⋊C4C23×C5911yescharacteristic
1036C2×C4⋊C4C23×C5911yescharacteristic
1037C2×C4⋊C4C23×C5911yescharacteristic
1038C2×C4⋊C4C23×C5911yescharacteristic
1039C2×C4⋊C4C23×C5911yescharacteristic
1040C2×C4⋊C4C23×C5911yescharacteristic
1041C2×C4⋊C4C23×C5911yescharacteristic
1042C2×C4⋊C4C23×C5911yescharacteristic
1043C2×C4⋊C4C23×C5911yescharacteristic
1044C2×C4⋊C4C23×C5911yescharacteristic
1045C2×C4⋊C4C23×C5911yescharacteristic
1046C2×C4⋊C4C23×C5911yescharacteristic
1047C2×C4⋊C4C23×C5911yescharacteristic
1048C2×C4⋊C4C23×C5911yescharacteristic
1049C2×C22⋊C4C23×C5911yescharacteristic
1050C2×C22⋊C4C23×C5911yescharacteristic
1051C2×C22⋊C4C23×C5911yescharacteristic
1052C2×C22⋊C4C23×C5911yescharacteristic
1053C2×C22⋊C4C23×C5911yescharacteristic
1054C2×C22⋊C4C23×C5911yescharacteristic
1055C2×C22⋊C4C23×C5911yescharacteristic
1056C2×C22⋊C4C23×C5911yescharacteristic
1057C2×C22⋊C4C23×C5911yescharacteristic
1058C2×C22⋊C4C23×C5911yescharacteristic
1059C2×C22⋊C4C23×C5911yescharacteristic
1060C2×C22⋊C4C23×C5911yescharacteristic
1061C2×C22⋊C4C23×C5911yescharacteristic
1062C2×C22⋊C4C23×C5911yescharacteristic
1063C2×C22⋊C4C23×C5911yescharacteristic
1064C2×C22⋊C4C23×C5911yescharacteristic
1065C2×C22⋊C4C23×C5911yescharacteristic
1066C2×C22⋊C4C23×C5911yescharacteristic
1067C2×C22⋊C4C23×C5911yescharacteristic
1068C2×C22⋊C4C23×C5911yescharacteristic
1069C2×C22⋊C4C23×C5911yescharacteristic
1070C2×C22⋊C4C23×C5911yescharacteristic
1071C2×C22⋊C4C23×C5911yescharacteristic
1072C2×C22⋊C4C23×C5911yescharacteristic
1073C2×C22⋊C4C23×C5911yescharacteristic
1074C2×C22⋊C4C23×C5911yescharacteristic
1075C2×C22⋊C4C23×C5911yescharacteristic
1076C2×C22⋊C4C23×C5911yescharacteristic
1077C2×C22⋊C4C23×C5911yescharacteristic
1078C2×C22⋊C4C23×C5911yescharacteristic
1079C2×C22⋊C4C23×C5911yescharacteristic
1080C2×C22⋊C4C23×C5911yescharacteristic
1081C2×C22⋊C4C23×C5911yescharacteristic
1082C2×C22⋊C4C23×C5911yescharacteristic
1083C2×C42—24no—
1084C2×C42—24no—
1085C2×C42—24no—
1086C2×C42C23×C5911yescharacteristic
1087C2×C42C23×C5911yescharacteristic
1088C2×C42C23×C5911yescharacteristic
1089C2×C42C23×C5911yescharacteristic
1090C2×C42C23×C5911yescharacteristic
1091C2×C42C23×C5911yescharacteristic
1092C2×C42C23×C5911yescharacteristic
1093C2×C42C23×C5911yescharacteristic
1094C2×C42C23×C5911yescharacteristic
1095C2×C42C23×C5911yescharacteristic
1096C2×C42C23×C5911yescharacteristic
1097C2×C42C23×C5911yescharacteristic
1098C2×C42C23×C5911yescharacteristic
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
1126#95C23×C5911yescharacteristic
1127#95C23×C5911yescharacteristic
1128#95C23×C5911yescharacteristic
1129#95C23×C5911yescharacteristic
1130#95C23×C5911yescharacteristic
1131#95C23×C5911yescharacteristic
1132#95C23×C5911yescharacteristic
1133#95C23×C5911yescharacteristic
1134#95C23×C5911yescharacteristic
1135#95C23×C5911yescharacteristic
1136#95C23×C5911yescharacteristic
1137#95C23×C5911yescharacteristic
1138#95C23×C5911yescharacteristic
1139#95C23×C5911yescharacteristic
1140#95C23×C5911yescharacteristic
1141#95C23×C5911yescharacteristic
1142#95C23×C5911yescharacteristic
1143#95C23×C5911yescharacteristic
1144#95C23×C5911yescharacteristic
1145#95C23×C5911yescharacteristic
1146#95C23×C5911yescharacteristic
1147C24C24×C5911yescharacteristic
1148C24C24×C5911yescharacteristic
1149C24C24×C5911yescharacteristic
1150C24C24×C5911yescharacteristic
1151#41—232no—
1152C2×Q8—22no—
1153C2×Q8—22no—
1154C2×Q8—22no—
1155C2×Q8—22no—
1156C2×Q8—41no—
1157C2×Q8—41no—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4C2×D4×C5914yes—
1175C2×D4#41×C5914yes—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4C2×D4×C5914yes—
1216C22×C4C2×D4×C5914yes—
1217C22×C4#41×C5914yes—
1218C22×C4C24×C5911yescharacteristic
1219C22×C4C24×C5911yescharacteristic
1220C22×C4C24×C5911yescharacteristic
1221C22×C4C24×C5911yescharacteristic
1222C22×C4C24×C5911yescharacteristic
1223C22×C4C24×C5911yescharacteristic
1224C22×C4C24×C5911yescharacteristic
1225C22×C4C24×C5911yescharacteristic
1226C22×C4C24×C5911yescharacteristic
1227C22×C4C24×C5911yescharacteristic
1228C22×C4C24×C5911yescharacteristic
1229C22×C4C24×C5911yescharacteristic
1230C22×C4C24×C5911yescharacteristic
1231C22×C4C24×C5911yescharacteristic
1232C22×C4C24×C5911yescharacteristic
1233C22×C4C24×C5911yescharacteristic
1234C22×C4C24×C5911yescharacteristic
1235C22×C4C24×C5911yescharacteristic
1236C22×C4C24×C5911yescharacteristic
1237C22×C4C24×C5911yescharacteristic
1238C22×C4C24×C5911yescharacteristic
1239C22×C4C24×C5911yescharacteristic
1240C22×C4C24×C5911yescharacteristic
1241C22×C4C24×C5911yescharacteristic
1242C22×C4C24×C5911yescharacteristic
1243C22×C4C24×C5911yescharacteristic
1244C22×C4C24×C5911yescharacteristic
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4C2×D4×C5914yes—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4C2×D4×C5914yes—
1316C22⋊C4C2×D4×C5914yes—
1317C42—22no—
1318C42—22no—
1319C42—22no—
1320C42—22no—
1321C42—22no—
1322C42—22no—
1323C42—22no—
1324C42—22no—
1325C42—22no—
1326C42—22no—
1327C42—41no—
1328C42—41no—
1329C42C2×D4×C5914yes—
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—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23C22×D4×C5912yes—
1354C23C22×D4×C5912yes—
1355C23C2×#41×C5912yes—
1356C23C2×#41×C5912yes—
1357C23C2×#41×C5912yes—
1358C23C25×C5911yescharacteristic
1359Q8—28no—
1360Q8—82no—
1361D4—28no—
1362D4—28no—
1363D4—28no—
1364D4—44no—
1365D4—82no—
1366D4—82no—
1367C2×C4—28no—
1368C2×C4—28no—
1369C2×C4—28no—
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—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—44no—
1443C2×C4—44no—
1444C2×C4—44no—
1445C2×C4—44no—
1446C2×C4—44no—
1447C2×C4—44no—
1448C2×C4—44no—
1449C2×C4—44no—
1450C2×C4—82no—
1451C2×C4—82no—
1452C2×C4—82no—
1453C2×C4C22×D4×C5912yes—
1454C2×C4C22×D4×C5912yes—
1455C2×C4C22×D4×C5912yes—
1456C2×C4C22×D4×C5912yes—
1457C2×C4C22×D4×C5912yes—
1458C2×C4C2×#41×C5912yes—
1459C2×C4C2×#41×C5912yes—
1460C2×C4C2×#41×C5912yes—
1461C2×C42−1+4×C5912yes—
1462C22—22no—
1463C22—22no—
1464C22—22no—
1465C22—22no—
1466C22—22no—
1467C22—22no—
1468C22—22no—
1469C22—22no—
1470C22—22no—
1471C22—22no—
1472C22—22no—
1473C22—22no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22C59×#52514yes—
1490C22C23×D4×C5911yescharacteristic
1491C22C22×#41×C5911yescharacteristic
1492C22C22×#41×C5911yescharacteristic
1493C22C2×2−1+4×C5911yescharacteristic
1494C22C59×#58511yescharacteristic
1495C22C59×#58511yescharacteristic
1496C22C59×#58511yescharacteristic
1497C4—22no—
1498C4—22no—
1499C4—22no—
1500C4—22no—
1501C4—22no—
1502C4—22no—
1503C4—22no—
1504C4—22no—
1505C4—22no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C4—41no—
1524C2—24no—
1525C2—42no—
1526C2—42no—
1527C2—81no—
1528C2C2×C59×#52511yescharacteristic
1529C2C59×#345511yescharacteristic
1530C2C59×#346111yescharacteristic
1531C2C59×#348511yescharacteristic
1532C2C59×#348911yescharacteristic
1533C2C59×#351511yescharacteristic
1534C2C59×#352111yescharacteristic
subgroupG/H
center, socleC23×C59C25
commutator, Frattini, cosocleC23C25×C59
prime radicalC59×#2430C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C59 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C59×#539C2semidirect
2. C2×C4×#41×C59C2semidirect
3. C59×#2855C2semidirect
4. C59×#2853C2semidirect
5. C59×#2852C2semidirect
6. C59×#2851C2semidirect
7. C59×#2638C2semidirect
8. C59×#2637C2semidirect
9. C59×#2634C2semidirect
10. C59×#2630C2semidirect
11. C59×#2478C2semidirect
12. C59×#2477C2semidirect
13. C59×#2475C2semidirect
14. C59×#2470C2semidirect
15. C59×#2468C2semidirect
16. C59×#2465C2semidirect
17. C59×#2462C2semidirect
18. C59×#2457C2semidirect
19. C59×#2450C2semidirect
20. C59×#2444C2semidirect
21. C59×#2438C2semidirect
23. C59×#2425C2semidirect
24. C59×#2419C2semidirect
25. C59×#2413C2semidirect
26. C59×#2406C2semidirect
27. C59×#2325C2semidirect
28. C59×#2322C2semidirect
29. C59×#2318C2semidirect
30. C4×#123×C59C2semidirect
31. C2×C59×#387C2semidirect
237. C4×D4×C59D4semidirect
694. #35096C59direct (N × H)
757. C2×#539C2×C59semidirect
758. C2×C4×#41C2×C59semidirect
759. #2855C2×C59semidirect
760. #2853C2×C59semidirect
761. #2852C2×C59semidirect
762. #2851C2×C59semidirect
763. #2638C2×C59semidirect
764. #2637C2×C59semidirect
765. #2634C2×C59semidirect
766. #2630C2×C59semidirect
767. #2478C2×C59semidirect
768. #2477C2×C59semidirect
769. #2475C2×C59semidirect
770. #2470C2×C59semidirect
771. #2468C2×C59semidirect
772. #2465C2×C59semidirect
773. #2462C2×C59semidirect
774. #2457C2×C59semidirect
775. #2450C2×C59semidirect
776. #2444C2×C59semidirect
777. #2438C2×C59semidirect
779. #2425C2×C59semidirect
780. #2419C2×C59semidirect
781. #2413C2×C59semidirect
782. #2406C2×C59semidirect
783. #2325C2×C59semidirect
784. #2322C2×C59semidirect
785. #2318C2×C59semidirect
786. C4×#123C2×C59semidirect
787. C2×#387C2×C59semidirect
956. C59#35096direct (N × H)
1005. C4×D4D4×C59semidirect

Maximal subgroups

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

subgroupindex
C2×C59×#5392
C2×C4×#41×C592
C59×#28552
C59×#28532
C59×#28522
C59×#28512
C59×#26382
C59×#26372
C59×#26342
C59×#26302
C59×#24782
C59×#24772
C59×#24752
C59×#24702
C59×#24682
C59×#24652
C59×#24622
C59×#24572
C59×#24502
C59×#24442
C59×#24382
C59×#24302
C59×#24252
C59×#24192
C59×#24132
C59×#24062
C59×#23252
C59×#23222
C59×#23182
C4×#123×C592
C2×C59×#3872
#3509659