Finite Group Databasebeta

← C59×#36911 #28449020

Subgroups — C59×#36911 #28449020

Order 15104.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1604 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C59×#2856C211yesmaximal, characteristic, complemented
2C59×#2853C211yesmaximal, characteristic, complemented
3C59×#2803C211yesmaximal, characteristic, complemented
4C59×#2792C211yesmaximal, characteristic, complemented
5C59×#2790C211yesmaximal, characteristic, complemented
6C59×#2780C211yesmaximal, characteristic, complemented
7C59×#2710C211yesmaximal, characteristic, complemented
8C59×#2709C211yesmaximal, characteristic, complemented
9C59×#2701C211yesmaximal, characteristic, complemented
10C59×#2692C211yesmaximal, characteristic, complemented
11C59×#2686C211yesmaximal, characteristic, complemented
12C59×#2682C211yesmaximal, characteristic, complemented
13C59×#2681C211yesmaximal, characteristic, complemented
14C59×#2676C211yesmaximal, characteristic, complemented
15C59×#2673C211yesmaximal, characteristic, complemented
16C59×#2672C211yesmaximal, characteristic, complemented
17C59×#2671C211yesmaximal, characteristic, complemented
18C59×#2671C211yesmaximal, characteristic, complemented
19C59×#2662C211yesmaximal, characteristic, complemented
20C59×#2651C211yesmaximal, characteristic, complemented
21C59×#2559C211yesmaximal, characteristic, complemented
22C59×#2555C211yesmaximal, characteristic, complemented
23C59×#2479C211yesmaximal, characteristic, complemented
24C59×#2476C211yesmaximal, characteristic, complemented
25C59×#2464C211yesmaximal, characteristic, complemented
26C59×#2461C211yesmaximal, characteristic, complemented
27C59×#2458C211yesmaximal, characteristic, complemented
28C59×#2426C211yesmaximal, characteristic, complemented
29C59×#2335C211yesmaximal, characteristic, complemented
30C59×#2324C211yesmaximal, characteristic, complemented
31C4×C22⋊Q8×C59C211yesmaximal, characteristic, complemented
32C2×#127×C59C2211yescharacteristic
33C2×#126×C59C2211yescharacteristic
34C2×#124×C59C2211yescharacteristic
35C2×#124×C59C2211yescharacteristic
36C2×#124×C59C2211yescharacteristic
37C2×#123×C59C2211yescharacteristic
38C2×#123×C59C2211yescharacteristic
39C2×#123×C59C2211yescharacteristic
40C2×#123×C59C2211yescharacteristic
41C2×#123×C59C2211yescharacteristic
42C2×C22⋊Q8×C59C2211yescharacteristic
43C2×C22⋊Q8×C59C2211yescharacteristic
44C2×C22⋊Q8×C59C2211yescharacteristic
45C2×#121×C59C2211yescharacteristic
46C2×#121×C59C2211yescharacteristic
47C2×#121×C59C2211yescharacteristic
48C2×#121×C59C2211yescharacteristic
49C2×#121×C59C2211yescharacteristic
50C2×#121×C59C2211yescharacteristic
51C2×#121×C59C2211yescharacteristic
52C2×#121×C59C2211yescharacteristic
53C2×#121×C59C2211yescharacteristic
54C2×#121×C59C2211yescharacteristic
55C2×C4×Q8×C59C2211yescharacteristic
56C2×C4×D4×C59C2211yescharacteristic
57C2×#117×C59C2211yescharacteristic
58C22×C42×C59C2211yescharacteristic
59C59×#400C2211yescharacteristic
60C59×#399C2211yescharacteristic
61C59×#399C2211yescharacteristic
62C59×#399C2211yescharacteristic
63C59×#398C2211yescharacteristic
64C59×#398C2211yescharacteristic
65C59×#398C2211yescharacteristic
66C59×#398C2211yescharacteristic
67C59×#398C2211yescharacteristic
68C59×#398C2211yescharacteristic
69C59×#397C2211yescharacteristic
70C59×#397C2211yescharacteristic
71C59×#396C2211yescharacteristic
72C59×#396C2211yescharacteristic
73C59×#396C2211yescharacteristic
74C59×#396C2211yescharacteristic
75C59×#396C2211yescharacteristic
76C59×#396C2211yescharacteristic
77C59×#395C2211yescharacteristic
78C59×#395C2211yescharacteristic
79C59×#395C2211yescharacteristic
80C59×#394C2211yescharacteristic
81C59×#394C2211yescharacteristic
82C59×#394C2211yescharacteristic
83C59×#394C2211yescharacteristic
84C59×#394C2211yescharacteristic
85C59×#394C2211yescharacteristic
86C59×#394C2211yescharacteristic
87C59×#394C2211yescharacteristic
88C59×#394C2211yescharacteristic
89C59×#394C2211yescharacteristic
90C59×#394C2211yescharacteristic
91C59×#394C2211yescharacteristic
92C59×#394C2211yescharacteristic
93C59×#394C2211yescharacteristic
94C59×#394C2211yescharacteristic
95C59×#394C2211yescharacteristic
96C59×#394C2211yescharacteristic
97C59×#394C2211yescharacteristic
98C59×#393C2211yescharacteristic
99C59×#393C2211yescharacteristic
100C59×#393C2211yescharacteristic
101C59×#392C2211yescharacteristic
102C59×#392C2211yescharacteristic
103C59×#392C2211yescharacteristic
104C59×#392C2211yescharacteristic
105C59×#392C2211yescharacteristic
106C59×#392C2211yescharacteristic
107C59×#391C2211yescharacteristic
108C59×#390C2211yescharacteristic
109C59×#390C2211yescharacteristic
110C59×#390C2211yescharacteristic
111C59×#390C2211yescharacteristic
112C59×#390C2211yescharacteristic
113C59×#390C2211yescharacteristic
114C59×#390C2211yescharacteristic
115C59×#390C2211yescharacteristic
116C59×#390C2211yescharacteristic
117C59×#390C2211yescharacteristic
118C59×#390C2211yescharacteristic
119C59×#389C2211yescharacteristic
120C59×#389C2211yescharacteristic
121C59×#389C2211yescharacteristic
122C59×#389C2211yescharacteristic
123C59×#389C2211yescharacteristic
124C59×#389C2211yescharacteristic
125C59×#388C2211yescharacteristic
126C59×#388C2211yescharacteristic
127C59×#388C2211yescharacteristic
128C59×#388C2211yescharacteristic
129C59×#388C2211yescharacteristic
130C59×#388C2211yescharacteristic
131C59×#388C2211yescharacteristic
132C59×#388C2211yescharacteristic
133C59×#388C2211yescharacteristic
134C59×#388C2211yescharacteristic
135C59×#388C2211yescharacteristic
136C59×#388C2211yescharacteristic
137C59×#388C2211yescharacteristic
138C59×#388C2211yescharacteristic
139C59×#388C2211yescharacteristic
140C59×#388C2211yescharacteristic
141C59×#388C2211yescharacteristic
142C59×#387C2211yescharacteristic
143C59×#387C2211yescharacteristic
144C59×#387C2211yescharacteristic
145C59×#387C2211yescharacteristic
146C59×#387C2211yescharacteristic
147C59×#387C2211yescharacteristic
148C59×#387C2211yescharacteristic
149C59×#387C2211yescharacteristic
150C59×#387C2211yescharacteristic
151C59×#386C2211yescharacteristic
152C59×#386C2211yescharacteristic
153C59×#386C2211yescharacteristic
154C59×#386C2211yescharacteristic
155C59×#386C2211yescharacteristic
156C59×#386C2211yescharacteristic
157C59×#386C2211yescharacteristic
158C59×#386C2211yescharacteristic
159C59×#386C2211yescharacteristic
160C59×#386C2211yescharacteristic
161C59×#386C2211yescharacteristic
162C59×#386C2211yescharacteristic
163C59×#386C2211yescharacteristic
164C59×#385C2211yescharacteristic
165C59×#385C2211yescharacteristic
166C59×#385C2211yescharacteristic
167C59×#385C2211yescharacteristic
168C59×#385C2211yescharacteristic
169C59×#385C2211yescharacteristic
170C59×#385C2211yescharacteristic
171C59×#385C2211yescharacteristic
172C59×#385C2211yescharacteristic
173C59×#385C2211yescharacteristic
174C59×#385C2211yescharacteristic
175C59×#384C2211yescharacteristic
176C59×#381C2211yescharacteristic
177C59×#380C2211yescharacteristic
178C59×#380C2211yescharacteristic
179C59×#380C2211yescharacteristic
180C4×C4⋊C4×C59C2211yescharacteristic
181C4×C4⋊C4×C59C2211yescharacteristic
182C4×C4⋊C4×C59C2211yescharacteristic
183C4×C22⋊C4×C59C2211yescharacteristic
184C4×C22⋊C4×C59C2211yescharacteristic
185C4×C22⋊C4×C59C2211yescharacteristic
186C4×C22⋊C4×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
199C22×D4×C59C2311yescharacteristic
200C22×D4×C59C2311yescharacteristic
201C22×D4×C59C2311yescharacteristic
202C22×D4×C59C2311yescharacteristic
203C22×D4×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
212#127×C59—42no—
213#126×C59—42no—
214#124×C59—42no—
215#124×C59—42no—
216#124×C59—42no—
217#123×C59—24no—
218#123×C59—42no—
219#123×C59—42no—
220#123×C59—42no—
221#123×C59—42no—
222C22⋊Q8×C59—24no—
223C22⋊Q8×C59—42no—
224C22⋊Q8×C59—42no—
225#121×C59—24no—
226#121×C59—42no—
227#121×C59—42no—
228#121×C59—42no—
229#121×C59—42no—
230#121×C59—42no—
231#121×C59—42no—
232#121×C59—42no—
233#121×C59—42no—
234#121×C59—42no—
235C4×Q8×C59—42no—
236C4×D4×C59—42no—
237#117×C59—42no—
238C2×C4⋊C4×C59C2311yescharacteristic
239C2×C4⋊C4×C59C2311yescharacteristic
240C2×C4⋊C4×C59C2311yescharacteristic
241C2×C4⋊C4×C59C2311yescharacteristic
242C2×C4⋊C4×C59C2311yescharacteristic
243C2×C4⋊C4×C59C2311yescharacteristic
244C2×C4⋊C4×C59C2311yescharacteristic
245C2×C4⋊C4×C59C2311yescharacteristic
246C2×C4⋊C4×C59C2311yescharacteristic
247C2×C4⋊C4×C59C2311yescharacteristic
248C2×C4⋊C4×C59C2311yescharacteristic
249C2×C4⋊C4×C59C2311yescharacteristic
250C2×C4⋊C4×C59C2311yescharacteristic
251C2×C4⋊C4×C59C2311yescharacteristic
252C2×C4⋊C4×C59C2311yescharacteristic
253C2×C4⋊C4×C59C2311yescharacteristic
254C2×C4⋊C4×C59C2311yescharacteristic
255C2×C4⋊C4×C59C2311yescharacteristic
256C2×C4⋊C4×C59C2311yescharacteristic
257C2×C4⋊C4×C59C2311yescharacteristic
258C2×C4⋊C4×C59C2311yescharacteristic
259C2×C4⋊C4×C59C2311yescharacteristic
260C2×C4⋊C4×C59C2311yescharacteristic
261C2×C4⋊C4×C59C2311yescharacteristic
262C2×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×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×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×C22⋊C4×C59C2311yescharacteristic
316C2×C22⋊C4×C59C2311yescharacteristic
317C2×C22⋊C4×C59C2311yescharacteristic
318C2×C22⋊C4×C59C2311yescharacteristic
319C2×C22⋊C4×C59C2311yescharacteristic
320C2×C22⋊C4×C59C2311yescharacteristic
321C2×C22⋊C4×C59C2311yescharacteristic
322C2×C22⋊C4×C59C2311yescharacteristic
323C2×C42×C59—42no—
324C2×C42×C59C2311yescharacteristic
325C2×C42×C59C2311yescharacteristic
326C2×C42×C59C2311yescharacteristic
327C2×C42×C59C2311yescharacteristic
328C2×C42×C59C2311yescharacteristic
329C2×C42×C59C2311yescharacteristic
330C2×C42×C59C2311yescharacteristic
331C2×C42×C59C2311yescharacteristic
332C2×C42×C59C2311yescharacteristic
333C2×C42×C59C2311yescharacteristic
334C2×C42×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
369C24×C59C2411yescharacteristic
370C24×C59C2411yescharacteristic
371C24×C59C2411yescharacteristic
372C24×C59C2411yescharacteristic
373C24×C59C2411yescharacteristic
374C24×C59C2411yescharacteristic
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×D4×C59—22no—
382C2×D4×C59—22no—
383C2×D4×C59—22no—
384C2×D4×C59—22no—
385C2×D4×C59—22no—
386C2×D4×C59—22no—
387C2×D4×C59—22no—
388C2×D4×C59—22no—
389C2×D4×C59—22no—
390C2×D4×C59—22no—
391C2×D4×C59—22no—
392C2×D4×C59—22no—
393C2×D4×C59—22no—
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—
404C2×D4×C59—41no—
405C2×D4×C59—41no—
406C2×D4×C59—41no—
407C2×D4×C59—41no—
408C2×D4×C59—41no—
409C2×D4×C59—41no—
410C2×D4×C59—41no—
411C2×D4×C59—41no—
412C2×D4×C59—41no—
413C2×D4×C59—41no—
414C2×D4×C59—41no—
415C2×D4×C59—41no—
416C2×D4×C59—41no—
417C2×D4×C59—41no—
418C2×D4×C59—41no—
419C2×D4×C59—41no—
420C2×D4×C59—41no—
421C2×D4×C59—41no—
422C2×D4×C59—41no—
423C2×D4×C59—41no—
424C2×D4×C59—41no—
425C2×D4×C59—41no—
426C22×C4×C59—22no—
427C22×C4×C59—22no—
428C22×C4×C59—22no—
429C22×C4×C59—22no—
430C22×C4×C59—22no—
431C22×C4×C59—22no—
432C22×C4×C59—22no—
433C22×C4×C59—22no—
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×C59—41no—
448C22×C4×C59—41no—
449C22×C4×C59—41no—
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
475C4⋊C4×C59—22no—
476C4⋊C4×C59—22no—
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—41no—
486C4⋊C4×C59—41no—
487C4⋊C4×C59—41no—
488C4⋊C4×C59—41no—
489C4⋊C4×C59—41no—
490C4⋊C4×C59—41no—
491C4⋊C4×C59—41no—
492C4⋊C4×C59—41no—
493C4⋊C4×C59—41no—
494C4⋊C4×C59—41no—
495C4⋊C4×C59—41no—
496C4⋊C4×C59—41no—
497C4⋊C4×C59—41no—
498C4⋊C4×C59—41no—
499C4⋊C4×C59—41no—
500C4⋊C4×C59—41no—
501C4⋊C4×C59—41no—
502C4⋊C4×C59—41no—
503C4⋊C4×C59—41no—
504C4⋊C4×C59—41no—
505C4⋊C4×C59—41no—
506C4⋊C4×C59—41no—
507C4⋊C4×C59#4114yes—
508C22⋊C4×C59—22no—
509C22⋊C4×C59—22no—
510C22⋊C4×C59—22no—
511C22⋊C4×C59—22no—
512C22⋊C4×C59—22no—
513C22⋊C4×C59—22no—
514C22⋊C4×C59—22no—
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—41no—
531C22⋊C4×C59—41no—
532C22⋊C4×C59—41no—
533C22⋊C4×C59—41no—
534C22⋊C4×C59—41no—
535C22⋊C4×C59—41no—
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×C59—41no—
548C22⋊C4×C59—41no—
549C22⋊C4×C59—41no—
550C22⋊C4×C59—41no—
551C22⋊C4×C59—41no—
552C22⋊C4×C59—41no—
553C22⋊C4×C59—41no—
554C22⋊C4×C59—41no—
555C22⋊C4×C59—41no—
556C22⋊C4×C59—41no—
557C22⋊C4×C59—41no—
558C22⋊C4×C59—41no—
559C22⋊C4×C59—41no—
560C42×C59—22no—
561C42×C59—22no—
562C42×C59—22no—
563C42×C59—22no—
564C42×C59—41no—
565C42×C59—41no—
566C42×C59—41no—
567C42×C59—41no—
568C42×C59—41no—
569C42×C59—41no—
570C42×C59—41no—
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×C59—21no—
586C23×C59—21no—
587C23×C59—21no—
588C23×C59—21no—
589C23×C59—21no—
590C23×C59—21no—
591C23×C59—21no—
592C23×C59—21no—
593C23×C59—21no—
594C23×C59—21no—
595C23×C59—21no—
596C23×C59—21no—
597C23×C59—21no—
598C23×C59—21no—
599C23×C59—21no—
600C23×C59—21no—
601C23×C59—21no—
602C23×C59—21no—
603C23×C59—21no—
604C23×C59—21no—
605C23×C59—21no—
606C23×C59—21no—
607C23×C59—21no—
608C23×C59—21no—
609C23×C59—21no—
610C23×C59—21no—
611C23×C59—21no—
612C23×C59H(5,𝔽2)12yes—
613C23×C59C2511yescharacteristic
614Q8×C59—44no—
615Q8×C59—82no—
616D4×C59—44no—
617D4×C59—82no—
618D4×C59—82no—
619D4×C59—82no—
620D4×C59—82no—
621D4×C59—82no—
622D4×C59—82no—
623D4×C59—82no—
624D4×C59—82no—
625D4×C59—82no—
626D4×C59—82no—
627D4×C59—82no—
628D4×C59—82no—
629D4×C59—82no—
630D4×C59—82no—
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—21no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—21no—
679C2×C4×C59—21no—
680C2×C4×C59—21no—
681C2×C4×C59—21no—
682C2×C4×C59—21no—
683C2×C4×C59—21no—
684C2×C4×C59—21no—
685C2×C4×C59—21no—
686C2×C4×C59—21no—
687C2×C4×C59—21no—
688C2×C4×C59—21no—
689C2×C4×C59—21no—
690C2×C4×C59—21no—
691C2×C4×C59—21no—
692C2×C4×C59—21no—
693C2×C4×C59—21no—
694C2×C4×C59—21no—
695C2×C4×C59—21no—
696C2×C4×C59—21no—
697C2×C4×C59—21no—
698C2×C4×C59—21no—
699C2×C4×C59—44no—
700C2×C4×C59—44no—
701C2×C4×C59—44no—
702C2×C4×C59—44no—
703C2×C4×C59—82no—
704C2×C4×C59—82no—
705C2×C4×C59—82no—
706C2×C4×C59—82no—
707C2×C4×C59C2×#4112yes—
708C2×C4×C59C2×#4112yes—
709C2×C4×C59C2×#4112yes—
710C2×C4×C59H(5,𝔽2)12yes—
711C2×C4×C59H(5,𝔽2)12yes—
712C2×C4×C59H(5,𝔽2)12yes—
713C2×C4×C592−1+412yes—
714#36911C5911yesmaximal, characteristic, direct product factor, Sylow
715C22×C59—22no—
716C22×C59—22no—
717C22×C59—22no—
718C22×C59—41no—
719C22×C59—41no—
720C22×C59—41no—
721C22×C59—41no—
722C22×C59—41no—
723C22×C59—41no—
724C22×C59—41no—
725C22×C59—41no—
726C22×C59—41no—
727C22×C59—41no—
728C22×C59—41no—
729C22×C59—41no—
730C22×C59—41no—
731C22×C59—41no—
732C22×C59—41no—
733C22×C59—41no—
734C22×C59—41no—
735C22×C59—41no—
736C22×C59—41no—
737C22×C59—41no—
738C22×C59—41no—
739C22×C59—41no—
740C22×C59—41no—
741C22×C59—41no—
742C22×C59—41no—
743C22×C59—41no—
744C22×C59—41no—
745C22×C59—41no—
746C22×C59—41no—
747C22×C59—41no—
748C22×C59—41no—
749C22×C59—41no—
750C22×C59—41no—
751C22×C59—41no—
752C22×C59—41no—
753C22×C59—41no—
754C22×C59—41no—
755C22×C59—41no—
756C22×C59—41no—
757C22×C59C22×#4111yescharacteristic
758C22×C59C2×H(5,𝔽2)11yescharacteristic
759C22×C59C2×H(5,𝔽2)11yescharacteristic
760C22×C59C2×H(5,𝔽2)11yescharacteristic
761C22×C59C2×H(5,𝔽2)11yescharacteristic
762C22×C59C2×2−1+411yescharacteristic
763C22×C59#58511yescharacteristic
764C4×C59—22no—
765C4×C59—22no—
766C4×C59—22no—
767C4×C59—22no—
768C4×C59—22no—
769C4×C59—22no—
770C4×C59—22no—
771C4×C59—41no—
772C4×C59—41no—
773C4×C59—41no—
774C4×C59—41no—
775C4×C59—41no—
776C4×C59—41no—
777C4×C59—41no—
778C4×C59—41no—
779C4×C59—41no—
780C4×C59—41no—
781C4×C59—41no—
782C4×C59—41no—
783C4×C59—41no—
784C4×C59—41no—
785C4×C59—41no—
786C4×C59—41no—
787C4×C59—41no—
788C4×C59—41no—
789#2856C2×C5911yescharacteristic, complemented
790#2853C2×C5911yescharacteristic, complemented
791#2803C2×C5911yescharacteristic, complemented
792#2792C2×C5911yescharacteristic, complemented
793#2790C2×C5911yescharacteristic, complemented
794#2780C2×C5911yescharacteristic, complemented
795#2710C2×C5911yescharacteristic, complemented
796#2709C2×C5911yescharacteristic, complemented
797#2701C2×C5911yescharacteristic, complemented
798#2692C2×C5911yescharacteristic, complemented
799#2686C2×C5911yescharacteristic, complemented
800#2682C2×C5911yescharacteristic, complemented
801#2681C2×C5911yescharacteristic, complemented
802#2676C2×C5911yescharacteristic, complemented
803#2673C2×C5911yescharacteristic, complemented
804#2672C2×C5911yescharacteristic, complemented
805#2671C2×C5911yescharacteristic, complemented
806#2671C2×C5911yescharacteristic, complemented
807#2662C2×C5911yescharacteristic, complemented
808#2651C2×C5911yescharacteristic, complemented
809#2559C2×C5911yescharacteristic, complemented
810#2555C2×C5911yescharacteristic, complemented
811#2479C2×C5911yescharacteristic, complemented
812#2476C2×C5911yescharacteristic, complemented
813#2464C2×C5911yescharacteristic, complemented
814#2461C2×C5911yescharacteristic, complemented
815#2458C2×C5911yescharacteristic, complemented
816#2426C2×C5911yescharacteristic, complemented
817#2335C2×C5911yescharacteristic, complemented
818#2324C2×C5911yescharacteristic, complemented
819C4×C22⋊Q8C2×C5911yescharacteristic, complemented
820C2×C59—42no—
821C2×C59—81no—
822C2×C59—81no—
823C2×C59—81no—
824C2×C59—81no—
825C2×C59—81no—
826C2×C59#346011yescharacteristic
827C2×C59#351911yescharacteristic
828C2×C59#352211yescharacteristic
829C2×C59#353411yescharacteristic
830C2×C59#353611yescharacteristic
831C2×C59#354311yescharacteristic
832C2×C59#354711yescharacteristic
833C2×#127C22×C5911yescharacteristic
834C2×#126C22×C5911yescharacteristic
835C2×#124C22×C5911yescharacteristic
836C2×#124C22×C5911yescharacteristic
837C2×#124C22×C5911yescharacteristic
838C2×#123C22×C5911yescharacteristic
839C2×#123C22×C5911yescharacteristic
840C2×#123C22×C5911yescharacteristic
841C2×#123C22×C5911yescharacteristic
842C2×#123C22×C5911yescharacteristic
843C2×C22⋊Q8C22×C5911yescharacteristic
844C2×C22⋊Q8C22×C5911yescharacteristic
845C2×C22⋊Q8C22×C5911yescharacteristic
846C2×#121C22×C5911yescharacteristic
847C2×#121C22×C5911yescharacteristic
848C2×#121C22×C5911yescharacteristic
849C2×#121C22×C5911yescharacteristic
850C2×#121C22×C5911yescharacteristic
851C2×#121C22×C5911yescharacteristic
852C2×#121C22×C5911yescharacteristic
853C2×#121C22×C5911yescharacteristic
854C2×#121C22×C5911yescharacteristic
855C2×#121C22×C5911yescharacteristic
856C2×C4×Q8C22×C5911yescharacteristic
857C2×C4×D4C22×C5911yescharacteristic
858C2×#117C22×C5911yescharacteristic
859C22×C42C22×C5911yescharacteristic
860#400C22×C5911yescharacteristic
861#399C22×C5911yescharacteristic
862#399C22×C5911yescharacteristic
863#399C22×C5911yescharacteristic
864#398C22×C5911yescharacteristic
865#398C22×C5911yescharacteristic
866#398C22×C5911yescharacteristic
867#398C22×C5911yescharacteristic
868#398C22×C5911yescharacteristic
869#398C22×C5911yescharacteristic
870#397C22×C5911yescharacteristic
871#397C22×C5911yescharacteristic
872#396C22×C5911yescharacteristic
873#396C22×C5911yescharacteristic
874#396C22×C5911yescharacteristic
875#396C22×C5911yescharacteristic
876#396C22×C5911yescharacteristic
877#396C22×C5911yescharacteristic
878#395C22×C5911yescharacteristic
879#395C22×C5911yescharacteristic
880#395C22×C5911yescharacteristic
881#394C22×C5911yescharacteristic
882#394C22×C5911yescharacteristic
883#394C22×C5911yescharacteristic
884#394C22×C5911yescharacteristic
885#394C22×C5911yescharacteristic
886#394C22×C5911yescharacteristic
887#394C22×C5911yescharacteristic
888#394C22×C5911yescharacteristic
889#394C22×C5911yescharacteristic
890#394C22×C5911yescharacteristic
891#394C22×C5911yescharacteristic
892#394C22×C5911yescharacteristic
893#394C22×C5911yescharacteristic
894#394C22×C5911yescharacteristic
895#394C22×C5911yescharacteristic
896#394C22×C5911yescharacteristic
897#394C22×C5911yescharacteristic
898#394C22×C5911yescharacteristic
899#393C22×C5911yescharacteristic
900#393C22×C5911yescharacteristic
901#393C22×C5911yescharacteristic
902#392C22×C5911yescharacteristic
903#392C22×C5911yescharacteristic
904#392C22×C5911yescharacteristic
905#392C22×C5911yescharacteristic
906#392C22×C5911yescharacteristic
907#392C22×C5911yescharacteristic
908#391C22×C5911yescharacteristic
909#390C22×C5911yescharacteristic
910#390C22×C5911yescharacteristic
911#390C22×C5911yescharacteristic
912#390C22×C5911yescharacteristic
913#390C22×C5911yescharacteristic
914#390C22×C5911yescharacteristic
915#390C22×C5911yescharacteristic
916#390C22×C5911yescharacteristic
917#390C22×C5911yescharacteristic
918#390C22×C5911yescharacteristic
919#390C22×C5911yescharacteristic
920#389C22×C5911yescharacteristic
921#389C22×C5911yescharacteristic
922#389C22×C5911yescharacteristic
923#389C22×C5911yescharacteristic
924#389C22×C5911yescharacteristic
925#389C22×C5911yescharacteristic
926#388C22×C5911yescharacteristic
927#388C22×C5911yescharacteristic
928#388C22×C5911yescharacteristic
929#388C22×C5911yescharacteristic
930#388C22×C5911yescharacteristic
931#388C22×C5911yescharacteristic
932#388C22×C5911yescharacteristic
933#388C22×C5911yescharacteristic
934#388C22×C5911yescharacteristic
935#388C22×C5911yescharacteristic
936#388C22×C5911yescharacteristic
937#388C22×C5911yescharacteristic
938#388C22×C5911yescharacteristic
939#388C22×C5911yescharacteristic
940#388C22×C5911yescharacteristic
941#388C22×C5911yescharacteristic
942#388C22×C5911yescharacteristic
943#387C22×C5911yescharacteristic
944#387C22×C5911yescharacteristic
945#387C22×C5911yescharacteristic
946#387C22×C5911yescharacteristic
947#387C22×C5911yescharacteristic
948#387C22×C5911yescharacteristic
949#387C22×C5911yescharacteristic
950#387C22×C5911yescharacteristic
951#387C22×C5911yescharacteristic
952#386C22×C5911yescharacteristic
953#386C22×C5911yescharacteristic
954#386C22×C5911yescharacteristic
955#386C22×C5911yescharacteristic
956#386C22×C5911yescharacteristic
957#386C22×C5911yescharacteristic
958#386C22×C5911yescharacteristic
959#386C22×C5911yescharacteristic
960#386C22×C5911yescharacteristic
961#386C22×C5911yescharacteristic
962#386C22×C5911yescharacteristic
963#386C22×C5911yescharacteristic
964#386C22×C5911yescharacteristic
965#385C22×C5911yescharacteristic
966#385C22×C5911yescharacteristic
967#385C22×C5911yescharacteristic
968#385C22×C5911yescharacteristic
969#385C22×C5911yescharacteristic
970#385C22×C5911yescharacteristic
971#385C22×C5911yescharacteristic
972#385C22×C5911yescharacteristic
973#385C22×C5911yescharacteristic
974#385C22×C5911yescharacteristic
975#385C22×C5911yescharacteristic
976#384C22×C5911yescharacteristic
977#381C22×C5911yescharacteristic
978#380C22×C5911yescharacteristic
979#380C22×C5911yescharacteristic
980#380C22×C5911yescharacteristic
981C4×C4⋊C4C22×C5911yescharacteristic
982C4×C4⋊C4C22×C5911yescharacteristic
983C4×C4⋊C4C22×C5911yescharacteristic
984C4×C22⋊C4C22×C5911yescharacteristic
985C4×C22⋊C4C22×C5911yescharacteristic
986C4×C22⋊C4C22×C5911yescharacteristic
987C4×C22⋊C4C22×C5911yescharacteristic
988C59#3691111yescharacteristic, direct product factor, Sylow
989C22×Q8C23×C5911yescharacteristic
990C22×Q8C23×C5911yescharacteristic
991C22×D4C23×C5911yescharacteristic
992C22×D4C23×C5911yescharacteristic
993C22×D4C23×C5911yescharacteristic
994C22×D4C23×C5911yescharacteristic
995C22×D4C23×C5911yescharacteristic
996C22×D4C23×C5911yescharacteristic
997C22×D4C23×C5911yescharacteristic
998C22×D4C23×C5911yescharacteristic
999C22×D4C23×C5911yescharacteristic
1000C22×D4C23×C5911yescharacteristic
1001C22×D4C23×C5911yescharacteristic
1002C22×D4C23×C5911yescharacteristic
1003C22×D4C23×C5911yescharacteristic
1004C22×D4C23×C5911yescharacteristic
1005C22×D4C23×C5911yescharacteristic
1006C23×C4C23×C5911yescharacteristic
1007C23×C4C23×C5911yescharacteristic
1008C23×C4C23×C5911yescharacteristic
1009C23×C4C23×C5911yescharacteristic
1010C23×C4C23×C5911yescharacteristic
1011C23×C4C23×C5911yescharacteristic
1012C23×C4C23×C5911yescharacteristic
1013C23×C4C23×C5911yescharacteristic
1014#127—42no—
1015#126—42no—
1016#124—42no—
1017#124—42no—
1018#124—42no—
1019#123—24no—
1020#123—42no—
1021#123—42no—
1022#123—42no—
1023#123—42no—
1024C22⋊Q8—24no—
1025C22⋊Q8—42no—
1026C22⋊Q8—42no—
1027#121—24no—
1028#121—42no—
1029#121—42no—
1030#121—42no—
1031#121—42no—
1032#121—42no—
1033#121—42no—
1034#121—42no—
1035#121—42no—
1036#121—42no—
1037C4×Q8—42no—
1038C4×D4—42no—
1039#117—42no—
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×C4⋊C4C23×C5911yescharacteristic
1050C2×C4⋊C4C23×C5911yescharacteristic
1051C2×C4⋊C4C23×C5911yescharacteristic
1052C2×C4⋊C4C23×C5911yescharacteristic
1053C2×C4⋊C4C23×C5911yescharacteristic
1054C2×C4⋊C4C23×C5911yescharacteristic
1055C2×C4⋊C4C23×C5911yescharacteristic
1056C2×C4⋊C4C23×C5911yescharacteristic
1057C2×C4⋊C4C23×C5911yescharacteristic
1058C2×C4⋊C4C23×C5911yescharacteristic
1059C2×C4⋊C4C23×C5911yescharacteristic
1060C2×C4⋊C4C23×C5911yescharacteristic
1061C2×C4⋊C4C23×C5911yescharacteristic
1062C2×C4⋊C4C23×C5911yescharacteristic
1063C2×C4⋊C4C23×C5911yescharacteristic
1064C2×C4⋊C4C23×C5911yescharacteristic
1065C2×C4⋊C4C23×C5911yescharacteristic
1066C2×C4⋊C4C23×C5911yescharacteristic
1067C2×C4⋊C4C23×C5911yescharacteristic
1068C2×C4⋊C4C23×C5911yescharacteristic
1069C2×C4⋊C4C23×C5911yescharacteristic
1070C2×C4⋊C4C23×C5911yescharacteristic
1071C2×C4⋊C4C23×C5911yescharacteristic
1072C2×C4⋊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×C22⋊C4C23×C5911yescharacteristic
1084C2×C22⋊C4C23×C5911yescharacteristic
1085C2×C22⋊C4C23×C5911yescharacteristic
1086C2×C22⋊C4C23×C5911yescharacteristic
1087C2×C22⋊C4C23×C5911yescharacteristic
1088C2×C22⋊C4C23×C5911yescharacteristic
1089C2×C22⋊C4C23×C5911yescharacteristic
1090C2×C22⋊C4C23×C5911yescharacteristic
1091C2×C22⋊C4C23×C5911yescharacteristic
1092C2×C22⋊C4C23×C5911yescharacteristic
1093C2×C22⋊C4C23×C5911yescharacteristic
1094C2×C22⋊C4C23×C5911yescharacteristic
1095C2×C22⋊C4C23×C5911yescharacteristic
1096C2×C22⋊C4C23×C5911yescharacteristic
1097C2×C22⋊C4C23×C5911yescharacteristic
1098C2×C22⋊C4C23×C5911yescharacteristic
1099C2×C22⋊C4C23×C5911yescharacteristic
1100C2×C22⋊C4C23×C5911yescharacteristic
1101C2×C22⋊C4C23×C5911yescharacteristic
1102C2×C22⋊C4C23×C5911yescharacteristic
1103C2×C22⋊C4C23×C5911yescharacteristic
1104C2×C22⋊C4C23×C5911yescharacteristic
1105C2×C22⋊C4C23×C5911yescharacteristic
1106C2×C22⋊C4C23×C5911yescharacteristic
1107C2×C22⋊C4C23×C5911yescharacteristic
1108C2×C22⋊C4C23×C5911yescharacteristic
1109C2×C22⋊C4C23×C5911yescharacteristic
1110C2×C22⋊C4C23×C5911yescharacteristic
1111C2×C22⋊C4C23×C5911yescharacteristic
1112C2×C22⋊C4C23×C5911yescharacteristic
1113C2×C22⋊C4C23×C5911yescharacteristic
1114C2×C22⋊C4C23×C5911yescharacteristic
1115C2×C22⋊C4C23×C5911yescharacteristic
1116C2×C22⋊C4C23×C5911yescharacteristic
1117C2×C22⋊C4C23×C5911yescharacteristic
1118C2×C22⋊C4C23×C5911yescharacteristic
1119C2×C22⋊C4C23×C5911yescharacteristic
1120C2×C22⋊C4C23×C5911yescharacteristic
1121C2×C22⋊C4C23×C5911yescharacteristic
1122C2×C22⋊C4C23×C5911yescharacteristic
1123C2×C22⋊C4C23×C5911yescharacteristic
1124C2×C22⋊C4C23×C5911yescharacteristic
1125C2×C42—42no—
1126C2×C42C23×C5911yescharacteristic
1127C2×C42C23×C5911yescharacteristic
1128C2×C42C23×C5911yescharacteristic
1129C2×C42C23×C5911yescharacteristic
1130C2×C42C23×C5911yescharacteristic
1131C2×C42C23×C5911yescharacteristic
1132C2×C42C23×C5911yescharacteristic
1133C2×C42C23×C5911yescharacteristic
1134C2×C42C23×C5911yescharacteristic
1135C2×C42C23×C5911yescharacteristic
1136C2×C42C23×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
1147#95C23×C5911yescharacteristic
1148#95C23×C5911yescharacteristic
1149#95C23×C5911yescharacteristic
1150#95C23×C5911yescharacteristic
1151#95C23×C5911yescharacteristic
1152#95C23×C5911yescharacteristic
1153#95C23×C5911yescharacteristic
1154#95C23×C5911yescharacteristic
1155#95C23×C5911yescharacteristic
1156#95C23×C5911yescharacteristic
1157#95C23×C5911yescharacteristic
1158#95C23×C5911yescharacteristic
1159#95C23×C5911yescharacteristic
1160#95C23×C5911yescharacteristic
1161#95C23×C5911yescharacteristic
1162#95C23×C5911yescharacteristic
1163#95C23×C5911yescharacteristic
1164#95C23×C5911yescharacteristic
1165#95C23×C5911yescharacteristic
1166#95C23×C5911yescharacteristic
1167#95C23×C5911yescharacteristic
1168#95C23×C5911yescharacteristic
1169#95C23×C5911yescharacteristic
1170#95C23×C5911yescharacteristic
1171C24C24×C5911yescharacteristic
1172C24C24×C5911yescharacteristic
1173C24C24×C5911yescharacteristic
1174C24C24×C5911yescharacteristic
1175C24C24×C5911yescharacteristic
1176C24C24×C5911yescharacteristic
1177C2×Q8—22no—
1178C2×Q8—22no—
1179C2×Q8—41no—
1180C2×Q8—41no—
1181C2×Q8—41no—
1182C2×Q8—41no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4C24×C5911yescharacteristic
1253C22×C4C24×C5911yescharacteristic
1254C22×C4C24×C5911yescharacteristic
1255C22×C4C24×C5911yescharacteristic
1256C22×C4C24×C5911yescharacteristic
1257C22×C4C24×C5911yescharacteristic
1258C22×C4C24×C5911yescharacteristic
1259C22×C4C24×C5911yescharacteristic
1260C22×C4C24×C5911yescharacteristic
1261C22×C4C24×C5911yescharacteristic
1262C22×C4C24×C5911yescharacteristic
1263C22×C4C24×C5911yescharacteristic
1264C22×C4C24×C5911yescharacteristic
1265C22×C4C24×C5911yescharacteristic
1266C22×C4C24×C5911yescharacteristic
1267C22×C4C24×C5911yescharacteristic
1268C22×C4C24×C5911yescharacteristic
1269C22×C4C24×C5911yescharacteristic
1270C22×C4C24×C5911yescharacteristic
1271C22×C4C24×C5911yescharacteristic
1272C22×C4C24×C5911yescharacteristic
1273C22×C4C24×C5911yescharacteristic
1274C22×C4C24×C5911yescharacteristic
1275C22×C4C24×C5911yescharacteristic
1276C22×C4C24×C5911yescharacteristic
1277C4⋊C4—22no—
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4#41×C5914yes—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C42—22no—
1363C42—22no—
1364C42—22no—
1365C42—22no—
1366C42—41no—
1367C42—41no—
1368C42—41no—
1369C42—41no—
1370C42—41no—
1371C42—41no—
1372C42—41no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23H(5,𝔽2)×C5912yes—
1415C23C25×C5911yescharacteristic
1416Q8—44no—
1417Q8—82no—
1418D4—44no—
1419D4—82no—
1420D4—82no—
1421D4—82no—
1422D4—82no—
1423D4—82no—
1424D4—82no—
1425D4—82no—
1426D4—82no—
1427D4—82no—
1428D4—82no—
1429D4—82no—
1430D4—82no—
1431D4—82no—
1432D4—82no—
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—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—44no—
1502C2×C4—44no—
1503C2×C4—44no—
1504C2×C4—44no—
1505C2×C4—82no—
1506C2×C4—82no—
1507C2×C4—82no—
1508C2×C4—82no—
1509C2×C4C2×#41×C5912yes—
1510C2×C4C2×#41×C5912yes—
1511C2×C4C2×#41×C5912yes—
1512C2×C4H(5,𝔽2)×C5912yes—
1513C2×C4H(5,𝔽2)×C5912yes—
1514C2×C4H(5,𝔽2)×C5912yes—
1515C2×C42−1+4×C5912yes—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22C22×#41×C5911yescharacteristic
1559C22C2×H(5,𝔽2)×C5911yescharacteristic
1560C22C2×H(5,𝔽2)×C5911yescharacteristic
1561C22C2×H(5,𝔽2)×C5911yescharacteristic
1562C22C2×H(5,𝔽2)×C5911yescharacteristic
1563C22C2×2−1+4×C5911yescharacteristic
1564C22C59×#58511yescharacteristic
1565C4—22no—
1566C4—22no—
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C2—42no—
1591C2—81no—
1592C2—81no—
1593C2—81no—
1594C2—81no—
1595C2—81no—
1596C2C59×#346011yescharacteristic
1597C2C59×#351911yescharacteristic
1598C2C59×#352211yescharacteristic
1599C2C59×#353411yescharacteristic
1600C2C59×#353611yescharacteristic
1601C2C59×#354311yescharacteristic
1602C2C59×#354711yescharacteristic
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×#2856C2semidirect
2. C59×#2853C2semidirect
3. C59×#2803C2semidirect
4. C59×#2792C2semidirect
5. C59×#2790C2semidirect
6. C59×#2780C2semidirect
7. C59×#2710C2semidirect
8. C59×#2709C2semidirect
9. C59×#2701C2semidirect
10. C59×#2692C2semidirect
11. C59×#2686C2semidirect
12. C59×#2682C2semidirect
13. C59×#2681C2semidirect
14. C59×#2676C2semidirect
15. C59×#2673C2semidirect
16. C59×#2672C2semidirect
17. C59×#2671C2semidirect
18. C59×#2671C2semidirect
19. C59×#2662C2semidirect
20. C59×#2651C2semidirect
21. C59×#2559C2semidirect
22. C59×#2555C2semidirect
23. C59×#2479C2semidirect
24. C59×#2476C2semidirect
25. C59×#2464C2semidirect
26. C59×#2461C2semidirect
27. C59×#2458C2semidirect
28. C59×#2426C2semidirect
29. C59×#2335C2semidirect
30. C59×#2324C2semidirect
31. C4×C22⋊Q8×C59C2semidirect
714. #36911C59direct (N × H)
789. #2856C2×C59semidirect
790. #2853C2×C59semidirect
791. #2803C2×C59semidirect
792. #2792C2×C59semidirect
793. #2790C2×C59semidirect
794. #2780C2×C59semidirect
795. #2710C2×C59semidirect
796. #2709C2×C59semidirect
797. #2701C2×C59semidirect
798. #2692C2×C59semidirect
799. #2686C2×C59semidirect
800. #2682C2×C59semidirect
801. #2681C2×C59semidirect
802. #2676C2×C59semidirect
803. #2673C2×C59semidirect
804. #2672C2×C59semidirect
805. #2671C2×C59semidirect
806. #2671C2×C59semidirect
807. #2662C2×C59semidirect
808. #2651C2×C59semidirect
809. #2559C2×C59semidirect
810. #2555C2×C59semidirect
811. #2479C2×C59semidirect
812. #2476C2×C59semidirect
813. #2464C2×C59semidirect
814. #2461C2×C59semidirect
815. #2458C2×C59semidirect
816. #2426C2×C59semidirect
817. #2335C2×C59semidirect
818. #2324C2×C59semidirect
819. C4×C22⋊Q8C2×C59semidirect
988. C59#36911direct (N × H)

Maximal subgroups

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

subgroupindex
C59×#28562
C59×#28532
C59×#28032
C59×#27922
C59×#27902
C59×#27802
C59×#27102
C59×#27092
C59×#27012
C59×#26922
C59×#26862
C59×#26822
C59×#26812
C59×#26762
C59×#26732
C59×#26722
C59×#26712
C59×#26622
C59×#26512
C59×#25592
C59×#25552
C59×#24792
C59×#24762
C59×#24642
C59×#24612
C59×#24582
C59×#24262
C59×#23352
C59×#23242
C4×C22⋊Q8×C592
#3691159