Finite Group Databasebeta

← C59×#36887 #28448996

Subgroups — C59×#36887 #28448996

Order 15104.

2090 conjugacy classes of subgroups.

The subgroup lattice has 1670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C59×#2849C211yesmaximal, characteristic, complemented
2C59×#2847C211yesmaximal, characteristic, complemented
3C59×#2778C211yesmaximal, characteristic, complemented
4C59×#2768C211yesmaximal, characteristic, complemented
5C59×#2753C211yesmaximal, characteristic, complemented
6C59×#2746C211yesmaximal, characteristic, complemented
7C59×#2739C211yesmaximal, characteristic, complemented
8C59×#2714C211yesmaximal, characteristic, complemented
9C59×#2709C211yesmaximal, characteristic, complemented
10C59×#2705C211yesmaximal, characteristic, complemented
11C59×#2699C211yesmaximal, characteristic, complemented
12C59×#2691C211yesmaximal, characteristic, complemented
13C59×#2685C211yesmaximal, characteristic, complemented
14C59×#2678C211yesmaximal, characteristic, complemented
15C59×#2678C211yesmaximal, characteristic, complemented
16C59×#2671C211yesmaximal, characteristic, complemented
17C59×#2671C211yesmaximal, characteristic, complemented
18C59×#2669C211yesmaximal, characteristic, complemented
19C59×#2636C211yesmaximal, characteristic, complemented
20C59×#2635C211yesmaximal, characteristic, complemented
21C59×#2576C211yesmaximal, characteristic, complemented
22C59×#2559C211yesmaximal, characteristic, complemented
23C59×#2554C211yesmaximal, characteristic, complemented
24C59×#2553C211yesmaximal, characteristic, complemented
25C59×#2468C211yesmaximal, characteristic, complemented
26C59×#2464C211yesmaximal, characteristic, complemented
27C59×#2428C211yesmaximal, characteristic, complemented
28C59×#2420C211yesmaximal, characteristic, complemented
29C59×#2335C211yesmaximal, characteristic, complemented
30C59×#2333C211yesmaximal, characteristic, complemented
31C4×#120×C59C211yesmaximal, characteristic, complemented
32C24×C4×C59C2211yescharacteristic
33C2×#127×C59C2211yescharacteristic
34C2×#126×C59C2211yescharacteristic
35C2×#126×C59C2211yescharacteristic, complemented
36C2×#126×C59C2211yescharacteristic, complemented
37C2×#123×C59C2211yescharacteristic
38C2×#123×C59C2211yescharacteristic
39C2×#123×C59C2211yescharacteristic
40C2×#123×C59C2211yescharacteristic
41C2×#121×C59C2211yescharacteristic
42C2×#121×C59C2211yescharacteristic
43C2×#121×C59C2211yescharacteristic
44C2×#121×C59C2211yescharacteristic
45C2×#121×C59C2211yescharacteristic
46C2×#121×C59C2211yescharacteristic
47C2×#121×C59C2211yescharacteristic
48C2×#121×C59C2211yescharacteristic, complemented
49C2×#121×C59C2211yescharacteristic, complemented
50C2×#120×C59C2211yescharacteristic
51C2×#120×C59C2211yescharacteristic
52C2×#120×C59C2211yescharacteristic
53C2×#120×C59C2211yescharacteristic
54C2×C4×D4×C59C2211yescharacteristic
55C2×C4×D4×C59C2211yescharacteristic
56C2×C4×D4×C59C2211yescharacteristic
57C59×#401C2211yescharacteristic, complemented
58C59×#400C2211yescharacteristic, complemented
59C59×#400C2211yescharacteristic, complemented
60C59×#400C2211yescharacteristic, complemented
61C59×#399C2211yescharacteristic
62C59×#399C2211yescharacteristic, complemented
63C59×#399C2211yescharacteristic, complemented
64C59×#398C2211yescharacteristic, complemented
65C59×#398C2211yescharacteristic, complemented
66C59×#398C2211yescharacteristic, complemented
67C59×#398C2211yescharacteristic, complemented
68C59×#398C2211yescharacteristic, complemented
69C59×#397C2211yescharacteristic
70C59×#397C2211yescharacteristic
71C59×#397C2211yescharacteristic, complemented
72C59×#397C2211yescharacteristic, complemented
73C59×#396C2211yescharacteristic
74C59×#396C2211yescharacteristic
75C59×#396C2211yescharacteristic
76C59×#396C2211yescharacteristic, complemented
77C59×#394C2211yescharacteristic
78C59×#394C2211yescharacteristic
79C59×#394C2211yescharacteristic
80C59×#394C2211yescharacteristic
81C59×#394C2211yescharacteristic
82C59×#394C2211yescharacteristic
83C59×#394C2211yescharacteristic
84C59×#394C2211yescharacteristic
85C59×#394C2211yescharacteristic
86C59×#394C2211yescharacteristic
87C59×#394C2211yescharacteristic, complemented
88C59×#394C2211yescharacteristic, complemented
89C59×#394C2211yescharacteristic, complemented
90C59×#394C2211yescharacteristic, complemented
91C59×#394C2211yescharacteristic, complemented
92C59×#394C2211yescharacteristic, complemented
93C59×#394C2211yescharacteristic, complemented
94C59×#394C2211yescharacteristic, complemented
95C59×#394C2211yescharacteristic, complemented
96C59×#392C2211yescharacteristic
97C59×#392C2211yescharacteristic
98C59×#392C2211yescharacteristic
99C59×#392C2211yescharacteristic
100C59×#392C2211yescharacteristic
101C59×#392C2211yescharacteristic
102C59×#392C2211yescharacteristic
103C59×#392C2211yescharacteristic
104C59×#392C2211yescharacteristic, complemented
105C59×#390C2211yescharacteristic
106C59×#390C2211yescharacteristic
107C59×#390C2211yescharacteristic
108C59×#390C2211yescharacteristic
109C59×#390C2211yescharacteristic
110C59×#390C2211yescharacteristic
111C59×#390C2211yescharacteristic, complemented
112C59×#390C2211yescharacteristic, complemented
113C59×#389C2211yescharacteristic, complemented
114C59×#389C2211yescharacteristic, complemented
115C59×#389C2211yescharacteristic, complemented
116C59×#388C2211yescharacteristic
117C59×#388C2211yescharacteristic
118C59×#388C2211yescharacteristic
119C59×#388C2211yescharacteristic
120C59×#388C2211yescharacteristic
121C59×#388C2211yescharacteristic
122C59×#388C2211yescharacteristic
123C59×#388C2211yescharacteristic, complemented
124C59×#388C2211yescharacteristic, complemented
125C59×#388C2211yescharacteristic, complemented
126C59×#388C2211yescharacteristic, complemented
127C59×#388C2211yescharacteristic, complemented
128C59×#388C2211yescharacteristic, complemented
129C59×#388C2211yescharacteristic, complemented
130C59×#388C2211yescharacteristic, complemented
131C59×#387C2211yescharacteristic, complemented
132C59×#387C2211yescharacteristic, complemented
133C59×#387C2211yescharacteristic, complemented
134C59×#387C2211yescharacteristic, complemented
135C59×#387C2211yescharacteristic, complemented
136C59×#387C2211yescharacteristic, complemented
137C59×#386C2211yescharacteristic
138C59×#386C2211yescharacteristic
139C59×#386C2211yescharacteristic
140C59×#386C2211yescharacteristic
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×#386C2211yescharacteristic, complemented
154C59×#386C2211yescharacteristic, complemented
155C59×#386C2211yescharacteristic, complemented
156C59×#386C2211yescharacteristic, complemented
157C59×#385C2211yescharacteristic
158C59×#385C2211yescharacteristic
159C59×#385C2211yescharacteristic
160C59×#385C2211yescharacteristic
161C59×#385C2211yescharacteristic
162C59×#385C2211yescharacteristic
163C59×#385C2211yescharacteristic
164C59×#385C2211yescharacteristic, complemented
165C59×#385C2211yescharacteristic, complemented
166C59×#385C2211yescharacteristic, complemented
167C59×#382C2211yescharacteristic, complemented
168C59×#382C2211yescharacteristic, complemented
169C59×#381C2211yescharacteristic
170C59×#381C2211yescharacteristic
171C59×#381C2211yescharacteristic, complemented
172C59×#381C2211yescharacteristic, complemented
173C59×#380C2211yescharacteristic
174C59×#380C2211yescharacteristic
175C59×#380C2211yescharacteristic
176C59×#380C2211yescharacteristic, complemented
177C59×#380C2211yescharacteristic, complemented
178C59×#379C2211yescharacteristic
179C59×#379C2211yescharacteristic
180C4×C4⋊C4×C59C2211yescharacteristic, complemented
181C4×C22⋊C4×C59C2211yescharacteristic
182C4×C22⋊C4×C59C2211yescharacteristic
183C4×C22⋊C4×C59C2211yescharacteristic
184C4×C22⋊C4×C59C2211yescharacteristic, complemented
185C4×C22⋊C4×C59C2211yescharacteristic, complemented
186C4×C22⋊C4×C59C2211yescharacteristic, complemented
187C25×C59C2311yescharacteristic
188C22×D4×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
204C22×D4×C59C2311yescharacteristic
205C22×D4×C59C2311yescharacteristic
206C23×C4×C59—42no—
207C23×C4×C59—42no—
208C23×C4×C59—42no—
209C23×C4×C59C2311yescharacteristic
210C23×C4×C59C2311yescharacteristic
211C23×C4×C59C2311yescharacteristic
212C23×C4×C59C2311yescharacteristic
213C23×C4×C59C2311yescharacteristic
214C23×C4×C59C2311yescharacteristic
215C23×C4×C59C2311yescharacteristic
216C23×C4×C59C2311yescharacteristic
217C23×C4×C59C2311yescharacteristic
218C23×C4×C59C2311yescharacteristic
219#127×C59—42no—
220#126×C59—42no—
221#126×C59—42no—
222#126×C59—42no—
223#123×C59—24no—
224#123×C59—42no—
225#123×C59—42no—
226#123×C59—42no—
227#121×C59—24no—
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—
235#121×C59—42no—
236#120×C59—24no—
237#120×C59—42no—
238#120×C59—42no—
239#120×C59—42no—
240C4×D4×C59—42no—
241C4×D4×C59—42no—
242C4×D4×C59—42no—
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×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×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×C22⋊C4×C59C2311yescharacteristic
324C2×C22⋊C4×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
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
369C24×C59—22no—
370C24×C59—22no—
371C24×C59—22no—
372C24×C59—41no—
373C24×C59—41no—
374C24×C59—41no—
375C24×C59—41no—
376C24×C59C2411yescharacteristic
377C24×C59C2411yescharacteristic
378C24×C59C2411yescharacteristic
379C24×C59C2411yescharacteristic
380C24×C59C2411yescharacteristic
381C24×C59C2411yescharacteristic
382C24×C59C2411yescharacteristic
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—22no—
395C2×D4×C59—22no—
396C2×D4×C59—22no—
397C2×D4×C59—22no—
398C2×D4×C59—22no—
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—
426C2×D4×C59—41no—
427C2×D4×C59—41no—
428C2×D4×C59—41no—
429C2×D4×C59—41no—
430C2×D4×C59—41no—
431C2×D4×C59—41no—
432C2×D4×C59—41no—
433C2×D4×C59—41no—
434C2×D4×C59—41no—
435C2×D4×C59—41no—
436C2×D4×C59—41no—
437C22×C4×C59—22no—
438C22×C4×C59—22no—
439C22×C4×C59—22no—
440C22×C4×C59—22no—
441C22×C4×C59—22no—
442C22×C4×C59—22no—
443C22×C4×C59—22no—
444C22×C4×C59—22no—
445C22×C4×C59—22no—
446C22×C4×C59—22no—
447C22×C4×C59—22no—
448C22×C4×C59—41no—
449C22×C4×C59—41no—
450C22×C4×C59—41no—
451C22×C4×C59—41no—
452C22×C4×C59—41no—
453C22×C4×C59—41no—
454C22×C4×C59—41no—
455C22×C4×C59—41no—
456C22×C4×C59—41no—
457C22×C4×C59—41no—
458C22×C4×C59—41no—
459C22×C4×C59—41no—
460C22×C4×C59—41no—
461C22×C4×C59—41no—
462C22×C4×C59—41no—
463C22×C4×C59—41no—
464C22×C4×C59—41no—
465C22×C4×C59—41no—
466C22×C4×C59—41no—
467C22×C4×C59—416no—
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
477C22×C4×C59C2411yescharacteristic
478C22×C4×C59C2411yescharacteristic
479C22×C4×C59C2411yescharacteristic
480C22×C4×C59C2411yescharacteristic
481C22×C4×C59C2411yescharacteristic
482C22×C4×C59C2411yescharacteristic
483C22×C4×C59C2411yescharacteristic
484C22×C4×C59C2411yescharacteristic
485C22×C4×C59C2411yescharacteristic
486C22×C4×C59C2411yescharacteristic
487C22×C4×C59C2411yescharacteristic
488C22×C4×C59C2411yescharacteristic
489C22×C4×C59C2411yescharacteristic
490C22×C4×C59C2411yescharacteristic
491C22×C4×C59C2411yescharacteristic
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—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—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×C59—41no—
515C4⋊C4×C59—41no—
516C4⋊C4×C59—41no—
517C4⋊C4×C59—41no—
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—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—
560C22⋊C4×C59—41no—
561C22⋊C4×C59—41no—
562C22⋊C4×C59—41no—
563C22⋊C4×C59—41no—
564C22⋊C4×C59—41no—
565C22⋊C4×C59—41no—
566C22⋊C4×C59—41no—
567C22⋊C4×C59—41no—
568C22⋊C4×C59—41no—
569C22⋊C4×C59—41no—
570C22⋊C4×C59—41no—
571C22⋊C4×C59—41no—
572C22⋊C4×C59—41no—
573C22⋊C4×C59#4114yes—
574C42×C59—22no—
575C42×C59—41no—
576C42×C59—41no—
577C42×C59—41no—
578C42×C59—41no—
579C42×C59—41no—
580C42×C59—41no—
581C42×C59—41no—
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×C59—21no—
613C23×C59—21no—
614C23×C59—21no—
615C23×C59—21no—
616C23×C59—21no—
617C23×C59—21no—
618C23×C59—21no—
619C23×C59—21no—
620C23×C59—21no—
621C23×C59—21no—
622C23×C59—21no—
623C23×C59—21no—
624C23×C59—21no—
625C23×C59—21no—
626C23×C59—21no—
627C23×C59—21no—
628C23×C59—44no—
629C23×C59—44no—
630C23×C59—44no—
631C23×C59—44no—
632C23×C59—44no—
633C23×C59—44no—
634C23×C59—44no—
635C23×C59C2×#4112yes—
636C23×C59H(5,𝔽2)12yes—
637C23×C59H(5,𝔽2)12yes—
638C23×C59C2511yescharacteristic
639D4×C59—44no—
640D4×C59—44no—
641D4×C59—44no—
642D4×C59—82no—
643D4×C59—82no—
644D4×C59—82no—
645D4×C59—82no—
646D4×C59—82no—
647D4×C59—82no—
648D4×C59—82no—
649D4×C59—82no—
650D4×C59—82no—
651D4×C59—82no—
652D4×C59—82no—
653D4×C59—82no—
654D4×C59—82no—
655D4×C59—82no—
656D4×C59—82no—
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—21no—
700C2×C4×C59—21no—
701C2×C4×C59—21no—
702C2×C4×C59—21no—
703C2×C4×C59—21no—
704C2×C4×C59—21no—
705C2×C4×C59—21no—
706C2×C4×C59—21no—
707C2×C4×C59—21no—
708C2×C4×C59—21no—
709C2×C4×C59—21no—
710C2×C4×C59—21no—
711C2×C4×C59—21no—
712C2×C4×C59—21no—
713C2×C4×C59—21no—
714C2×C4×C59—21no—
715C2×C4×C59—21no—
716C2×C4×C59—21no—
717C2×C4×C59—21no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—44no—
726C2×C4×C59—44no—
727C2×C4×C59—44no—
728C2×C4×C59—44no—
729C2×C4×C59—44no—
730C2×C4×C59—44no—
731C2×C4×C59—82no—
732C2×C4×C59—82no—
733C2×C4×C59—82no—
734C2×C4×C59—82no—
735C2×C4×C59C2×#4112yes—
736C2×C4×C59C2×#4112yes—
737C2×C4×C59H(5,𝔽2)12yes—
738C2×C4×C59H(5,𝔽2)12yes—
739#36887C5911yesmaximal, characteristic, direct product factor, Sylow
740C22×C59—22no—
741C22×C59—22no—
742C22×C59—22no—
743C22×C59—22no—
744C22×C59—22no—
745C22×C59—22no—
746C22×C59—22no—
747C22×C59—22no—
748C22×C59—22no—
749C22×C59—416no—
750C22×C59—41no—
751C22×C59—41no—
752C22×C59—41no—
753C22×C59—41no—
754C22×C59—41no—
755C22×C59—41no—
756C22×C59—41no—
757C22×C59—41no—
758C22×C59—41no—
759C22×C59—41no—
760C22×C59—41no—
761C22×C59—41no—
762C22×C59—41no—
763C22×C59—41no—
764C22×C59—41no—
765C22×C59—41no—
766C22×C59—41no—
767C22×C59—41no—
768C22×C59—41no—
769C22×C59—41no—
770C22×C59—41no—
771C22×C59—41no—
772C22×C59—41no—
773C22×C59—41no—
774C22×C59—41no—
775C22×C59—41no—
776C22×C59—41no—
777C22×C59—41no—
778C22×C59—41no—
779C22×C59—41no—
780C22×C59—41no—
781C22×C59—41no—
782C22×C59—41no—
783C22×C59—41no—
784C22×C59—41no—
785C22×C59—41no—
786C22×C59—41no—
787C22×C59—41no—
788C22×C59—41no—
789C22×C59—41no—
790C22×C59C22×#4111yescharacteristic
791C22×C59C2×H(5,𝔽2)11yescharacteristic
792C22×C59C2×H(5,𝔽2)11yescharacteristic
793C22×C59C2×H(5,𝔽2)11yescharacteristic
794C22×C59C2×H(5,𝔽2)11yescharacteristic
795C22×C59#58511yescharacteristic
796C22×C59#58511yescharacteristic
797C4×C59—22no—
798C4×C59—22no—
799C4×C59—22no—
800C4×C59—22no—
801C4×C59—41no—
802C4×C59—41no—
803C4×C59—41no—
804C4×C59—41no—
805C4×C59—41no—
806C4×C59—41no—
807C4×C59—41no—
808C4×C59—41no—
809C4×C59—41no—
810C4×C59—41no—
811C4×C59—41no—
812C4×C59—41no—
813C4×C59—41no—
814C4×C59—41no—
815C4×C59—41no—
816C4×C59—41no—
817C4×C59—41no—
818C4×C59—41no—
819C4×C59—41no—
820C4×C59—41no—
821#2849C2×C5911yescharacteristic, complemented
822#2847C2×C5911yescharacteristic, complemented
823#2778C2×C5911yescharacteristic, complemented
824#2768C2×C5911yescharacteristic, complemented
825#2753C2×C5911yescharacteristic, complemented
826#2746C2×C5911yescharacteristic, complemented
827#2739C2×C5911yescharacteristic, complemented
828#2714C2×C5911yescharacteristic, complemented
829#2709C2×C5911yescharacteristic, complemented
830#2705C2×C5911yescharacteristic, complemented
831#2699C2×C5911yescharacteristic, complemented
832#2691C2×C5911yescharacteristic, complemented
833#2685C2×C5911yescharacteristic, complemented
834#2678C2×C5911yescharacteristic, complemented
835#2678C2×C5911yescharacteristic, complemented
836#2671C2×C5911yescharacteristic, complemented
837#2671C2×C5911yescharacteristic, complemented
838#2669C2×C5911yescharacteristic, complemented
839#2636C2×C5911yescharacteristic, complemented
840#2635C2×C5911yescharacteristic, complemented
841#2576C2×C5911yescharacteristic, complemented
842#2559C2×C5911yescharacteristic, complemented
843#2554C2×C5911yescharacteristic, complemented
844#2553C2×C5911yescharacteristic, complemented
845#2468C2×C5911yescharacteristic, complemented
846#2464C2×C5911yescharacteristic, complemented
847#2428C2×C5911yescharacteristic, complemented
848#2420C2×C5911yescharacteristic, complemented
849#2335C2×C5911yescharacteristic, complemented
850#2333C2×C5911yescharacteristic, complemented
851C4×#120C2×C5911yescharacteristic, complemented
852C2×C59—42no—
853C2×C59—42no—
854C2×C59—42no—
855C2×C59—81no—
856C2×C59—81no—
857C2×C59—81no—
858C2×C59—81no—
859C2×C59#346011yescharacteristic
860C2×C59#351311yescharacteristic
861C2×C59#351911yescharacteristic
862C2×C59#353211yescharacteristic
863C2×C59#353411yescharacteristic
864C2×C59#353911yescharacteristic
865C2×C59#354211yescharacteristic
866C24×C4C22×C5911yescharacteristic
867C2×#127C22×C5911yescharacteristic
868C2×#126C22×C5911yescharacteristic
869C2×#126C22×C5911yescharacteristic, complemented
870C2×#126C22×C5911yescharacteristic, complemented
871C2×#123C22×C5911yescharacteristic
872C2×#123C22×C5911yescharacteristic
873C2×#123C22×C5911yescharacteristic
874C2×#123C22×C5911yescharacteristic
875C2×#121C22×C5911yescharacteristic
876C2×#121C22×C5911yescharacteristic
877C2×#121C22×C5911yescharacteristic
878C2×#121C22×C5911yescharacteristic
879C2×#121C22×C5911yescharacteristic
880C2×#121C22×C5911yescharacteristic
881C2×#121C22×C5911yescharacteristic
882C2×#121C22×C5911yescharacteristic, complemented
883C2×#121C22×C5911yescharacteristic, complemented
884C2×#120C22×C5911yescharacteristic
885C2×#120C22×C5911yescharacteristic
886C2×#120C22×C5911yescharacteristic
887C2×#120C22×C5911yescharacteristic
888C2×C4×D4C22×C5911yescharacteristic
889C2×C4×D4C22×C5911yescharacteristic
890C2×C4×D4C22×C5911yescharacteristic
891#401C22×C5911yescharacteristic, complemented
892#400C22×C5911yescharacteristic, complemented
893#400C22×C5911yescharacteristic, complemented
894#400C22×C5911yescharacteristic, complemented
895#399C22×C5911yescharacteristic
896#399C22×C5911yescharacteristic, complemented
897#399C22×C5911yescharacteristic, complemented
898#398C22×C5911yescharacteristic, complemented
899#398C22×C5911yescharacteristic, complemented
900#398C22×C5911yescharacteristic, complemented
901#398C22×C5911yescharacteristic, complemented
902#398C22×C5911yescharacteristic, complemented
903#397C22×C5911yescharacteristic
904#397C22×C5911yescharacteristic
905#397C22×C5911yescharacteristic, complemented
906#397C22×C5911yescharacteristic, complemented
907#396C22×C5911yescharacteristic
908#396C22×C5911yescharacteristic
909#396C22×C5911yescharacteristic
910#396C22×C5911yescharacteristic, complemented
911#394C22×C5911yescharacteristic
912#394C22×C5911yescharacteristic
913#394C22×C5911yescharacteristic
914#394C22×C5911yescharacteristic
915#394C22×C5911yescharacteristic
916#394C22×C5911yescharacteristic
917#394C22×C5911yescharacteristic
918#394C22×C5911yescharacteristic
919#394C22×C5911yescharacteristic
920#394C22×C5911yescharacteristic
921#394C22×C5911yescharacteristic, complemented
922#394C22×C5911yescharacteristic, complemented
923#394C22×C5911yescharacteristic, complemented
924#394C22×C5911yescharacteristic, complemented
925#394C22×C5911yescharacteristic, complemented
926#394C22×C5911yescharacteristic, complemented
927#394C22×C5911yescharacteristic, complemented
928#394C22×C5911yescharacteristic, complemented
929#394C22×C5911yescharacteristic, complemented
930#392C22×C5911yescharacteristic
931#392C22×C5911yescharacteristic
932#392C22×C5911yescharacteristic
933#392C22×C5911yescharacteristic
934#392C22×C5911yescharacteristic
935#392C22×C5911yescharacteristic
936#392C22×C5911yescharacteristic
937#392C22×C5911yescharacteristic
938#392C22×C5911yescharacteristic, complemented
939#390C22×C5911yescharacteristic
940#390C22×C5911yescharacteristic
941#390C22×C5911yescharacteristic
942#390C22×C5911yescharacteristic
943#390C22×C5911yescharacteristic
944#390C22×C5911yescharacteristic
945#390C22×C5911yescharacteristic, complemented
946#390C22×C5911yescharacteristic, complemented
947#389C22×C5911yescharacteristic, complemented
948#389C22×C5911yescharacteristic, complemented
949#389C22×C5911yescharacteristic, complemented
950#388C22×C5911yescharacteristic
951#388C22×C5911yescharacteristic
952#388C22×C5911yescharacteristic
953#388C22×C5911yescharacteristic
954#388C22×C5911yescharacteristic
955#388C22×C5911yescharacteristic
956#388C22×C5911yescharacteristic
957#388C22×C5911yescharacteristic, complemented
958#388C22×C5911yescharacteristic, complemented
959#388C22×C5911yescharacteristic, complemented
960#388C22×C5911yescharacteristic, complemented
961#388C22×C5911yescharacteristic, complemented
962#388C22×C5911yescharacteristic, complemented
963#388C22×C5911yescharacteristic, complemented
964#388C22×C5911yescharacteristic, complemented
965#387C22×C5911yescharacteristic, complemented
966#387C22×C5911yescharacteristic, complemented
967#387C22×C5911yescharacteristic, complemented
968#387C22×C5911yescharacteristic, complemented
969#387C22×C5911yescharacteristic, complemented
970#387C22×C5911yescharacteristic, complemented
971#386C22×C5911yescharacteristic
972#386C22×C5911yescharacteristic
973#386C22×C5911yescharacteristic
974#386C22×C5911yescharacteristic
975#386C22×C5911yescharacteristic
976#386C22×C5911yescharacteristic
977#386C22×C5911yescharacteristic
978#386C22×C5911yescharacteristic
979#386C22×C5911yescharacteristic
980#386C22×C5911yescharacteristic
981#386C22×C5911yescharacteristic
982#386C22×C5911yescharacteristic
983#386C22×C5911yescharacteristic
984#386C22×C5911yescharacteristic
985#386C22×C5911yescharacteristic
986#386C22×C5911yescharacteristic
987#386C22×C5911yescharacteristic, complemented
988#386C22×C5911yescharacteristic, complemented
989#386C22×C5911yescharacteristic, complemented
990#386C22×C5911yescharacteristic, complemented
991#385C22×C5911yescharacteristic
992#385C22×C5911yescharacteristic
993#385C22×C5911yescharacteristic
994#385C22×C5911yescharacteristic
995#385C22×C5911yescharacteristic
996#385C22×C5911yescharacteristic
997#385C22×C5911yescharacteristic
998#385C22×C5911yescharacteristic, complemented
999#385C22×C5911yescharacteristic, complemented
1000#385C22×C5911yescharacteristic, complemented
1001#382C22×C5911yescharacteristic, complemented
1002#382C22×C5911yescharacteristic, complemented
1003#381C22×C5911yescharacteristic
1004#381C22×C5911yescharacteristic
1005#381C22×C5911yescharacteristic, complemented
1006#381C22×C5911yescharacteristic, complemented
1007#380C22×C5911yescharacteristic
1008#380C22×C5911yescharacteristic
1009#380C22×C5911yescharacteristic
1010#380C22×C5911yescharacteristic, complemented
1011#380C22×C5911yescharacteristic, complemented
1012#379C22×C5911yescharacteristic
1013#379C22×C5911yescharacteristic
1014C4×C4⋊C4C22×C5911yescharacteristic, complemented
1015C4×C22⋊C4C22×C5911yescharacteristic
1016C4×C22⋊C4C22×C5911yescharacteristic
1017C4×C22⋊C4C22×C5911yescharacteristic
1018C4×C22⋊C4C22×C5911yescharacteristic, complemented
1019C4×C22⋊C4C22×C5911yescharacteristic, complemented
1020C4×C22⋊C4C22×C5911yescharacteristic, complemented
1021C59#3688711yescharacteristic, direct product factor, Sylow
1022C25C23×C5911yescharacteristic
1023C22×D4C23×C5911yescharacteristic
1024C22×D4C23×C5911yescharacteristic
1025C22×D4C23×C5911yescharacteristic
1026C22×D4C23×C5911yescharacteristic
1027C22×D4C23×C5911yescharacteristic
1028C22×D4C23×C5911yescharacteristic
1029C22×D4C23×C5911yescharacteristic
1030C22×D4C23×C5911yescharacteristic
1031C22×D4C23×C5911yescharacteristic
1032C22×D4C23×C5911yescharacteristic
1033C22×D4C23×C5911yescharacteristic
1034C22×D4C23×C5911yescharacteristic
1035C22×D4C23×C5911yescharacteristic
1036C22×D4C23×C5911yescharacteristic
1037C22×D4C23×C5911yescharacteristic
1038C22×D4C23×C5911yescharacteristic
1039C22×D4C23×C5911yescharacteristic
1040C22×D4C23×C5911yescharacteristic
1041C23×C4—42no—
1042C23×C4—42no—
1043C23×C4—42no—
1044C23×C4C23×C5911yescharacteristic
1045C23×C4C23×C5911yescharacteristic
1046C23×C4C23×C5911yescharacteristic
1047C23×C4C23×C5911yescharacteristic
1048C23×C4C23×C5911yescharacteristic
1049C23×C4C23×C5911yescharacteristic
1050C23×C4C23×C5911yescharacteristic
1051C23×C4C23×C5911yescharacteristic
1052C23×C4C23×C5911yescharacteristic
1053C23×C4C23×C5911yescharacteristic
1054#127—42no—
1055#126—42no—
1056#126—42no—
1057#126—42no—
1058#123—24no—
1059#123—42no—
1060#123—42no—
1061#123—42no—
1062#121—24no—
1063#121—42no—
1064#121—42no—
1065#121—42no—
1066#121—42no—
1067#121—42no—
1068#121—42no—
1069#121—42no—
1070#121—42no—
1071#120—24no—
1072#120—42no—
1073#120—42no—
1074#120—42no—
1075C4×D4—42no—
1076C4×D4—42no—
1077C4×D4—42no—
1078C2×C4⋊C4C23×C5911yescharacteristic
1079C2×C4⋊C4C23×C5911yescharacteristic
1080C2×C4⋊C4C23×C5911yescharacteristic
1081C2×C4⋊C4C23×C5911yescharacteristic
1082C2×C4⋊C4C23×C5911yescharacteristic
1083C2×C4⋊C4C23×C5911yescharacteristic
1084C2×C4⋊C4C23×C5911yescharacteristic
1085C2×C4⋊C4C23×C5911yescharacteristic
1086C2×C4⋊C4C23×C5911yescharacteristic
1087C2×C4⋊C4C23×C5911yescharacteristic
1088C2×C4⋊C4C23×C5911yescharacteristic
1089C2×C4⋊C4C23×C5911yescharacteristic
1090C2×C4⋊C4C23×C5911yescharacteristic
1091C2×C4⋊C4C23×C5911yescharacteristic
1092C2×C4⋊C4C23×C5911yescharacteristic
1093C2×C4⋊C4C23×C5911yescharacteristic
1094C2×C4⋊C4C23×C5911yescharacteristic
1095C2×C4⋊C4C23×C5911yescharacteristic
1096C2×C4⋊C4C23×C5911yescharacteristic
1097C2×C4⋊C4C23×C5911yescharacteristic
1098C2×C4⋊C4C23×C5911yescharacteristic
1099C2×C4⋊C4C23×C5911yescharacteristic
1100C2×C4⋊C4C23×C5911yescharacteristic
1101C2×C4⋊C4C23×C5911yescharacteristic
1102C2×C4⋊C4C23×C5911yescharacteristic
1103C2×C4⋊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×C22⋊C4C23×C5911yescharacteristic
1126C2×C22⋊C4C23×C5911yescharacteristic
1127C2×C22⋊C4C23×C5911yescharacteristic
1128C2×C22⋊C4C23×C5911yescharacteristic
1129C2×C22⋊C4C23×C5911yescharacteristic
1130C2×C22⋊C4C23×C5911yescharacteristic
1131C2×C22⋊C4C23×C5911yescharacteristic
1132C2×C22⋊C4C23×C5911yescharacteristic
1133C2×C22⋊C4C23×C5911yescharacteristic
1134C2×C22⋊C4C23×C5911yescharacteristic
1135C2×C22⋊C4C23×C5911yescharacteristic
1136C2×C22⋊C4C23×C5911yescharacteristic
1137C2×C22⋊C4C23×C5911yescharacteristic
1138C2×C22⋊C4C23×C5911yescharacteristic
1139C2×C22⋊C4C23×C5911yescharacteristic
1140C2×C22⋊C4C23×C5911yescharacteristic
1141C2×C22⋊C4C23×C5911yescharacteristic
1142C2×C22⋊C4C23×C5911yescharacteristic
1143C2×C22⋊C4C23×C5911yescharacteristic
1144C2×C22⋊C4C23×C5911yescharacteristic
1145C2×C22⋊C4C23×C5911yescharacteristic
1146C2×C22⋊C4C23×C5911yescharacteristic
1147C2×C22⋊C4C23×C5911yescharacteristic
1148C2×C22⋊C4C23×C5911yescharacteristic
1149C2×C22⋊C4C23×C5911yescharacteristic
1150C2×C22⋊C4C23×C5911yescharacteristic
1151C2×C22⋊C4C23×C5911yescharacteristic
1152C2×C22⋊C4C23×C5911yescharacteristic
1153C2×C22⋊C4C23×C5911yescharacteristic
1154C2×C22⋊C4C23×C5911yescharacteristic
1155C2×C22⋊C4C23×C5911yescharacteristic
1156C2×C22⋊C4C23×C5911yescharacteristic
1157C2×C22⋊C4C23×C5911yescharacteristic
1158C2×C22⋊C4C23×C5911yescharacteristic
1159C2×C22⋊C4C23×C5911yescharacteristic
1160C2×C42C23×C5911yescharacteristic
1161C2×C42C23×C5911yescharacteristic
1162C2×C42C23×C5911yescharacteristic
1163C2×C42C23×C5911yescharacteristic
1164C2×C42C23×C5911yescharacteristic
1165C2×C42C23×C5911yescharacteristic
1166C2×C42C23×C5911yescharacteristic
1167C2×C42C23×C5911yescharacteristic
1168#95C23×C5911yescharacteristic
1169#95C23×C5911yescharacteristic
1170#95C23×C5911yescharacteristic
1171#95C23×C5911yescharacteristic
1172#95C23×C5911yescharacteristic
1173#95C23×C5911yescharacteristic
1174#95C23×C5911yescharacteristic
1175#95C23×C5911yescharacteristic
1176#95C23×C5911yescharacteristic
1177#95C23×C5911yescharacteristic
1178#95C23×C5911yescharacteristic
1179#95C23×C5911yescharacteristic
1180#95C23×C5911yescharacteristic
1181#95C23×C5911yescharacteristic
1182#95C23×C5911yescharacteristic
1183#95C23×C5911yescharacteristic
1184#95C23×C5911yescharacteristic
1185#95C23×C5911yescharacteristic
1186#95C23×C5911yescharacteristic
1187#95C23×C5911yescharacteristic
1188#95C23×C5911yescharacteristic
1189#95C23×C5911yescharacteristic
1190#95C23×C5911yescharacteristic
1191#95C23×C5911yescharacteristic
1192#95C23×C5911yescharacteristic
1193#95C23×C5911yescharacteristic
1194#95C23×C5911yescharacteristic
1195#95C23×C5911yescharacteristic
1196#95C23×C5911yescharacteristic
1197#95C23×C5911yescharacteristic
1198#95C23×C5911yescharacteristic
1199#95C23×C5911yescharacteristic
1200#95C23×C5911yescharacteristic
1201#95C23×C5911yescharacteristic
1202#95C23×C5911yescharacteristic
1203#95C23×C5911yescharacteristic
1204C24—22no—
1205C24—22no—
1206C24—22no—
1207C24—41no—
1208C24—41no—
1209C24—41no—
1210C24—41no—
1211C24C24×C5911yescharacteristic
1212C24C24×C5911yescharacteristic
1213C24C24×C5911yescharacteristic
1214C24C24×C5911yescharacteristic
1215C24C24×C5911yescharacteristic
1216C24C24×C5911yescharacteristic
1217C24C24×C5911yescharacteristic
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
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—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—416no—
1303C22×C4C24×C5911yescharacteristic
1304C22×C4C24×C5911yescharacteristic
1305C22×C4C24×C5911yescharacteristic
1306C22×C4C24×C5911yescharacteristic
1307C22×C4C24×C5911yescharacteristic
1308C22×C4C24×C5911yescharacteristic
1309C22×C4C24×C5911yescharacteristic
1310C22×C4C24×C5911yescharacteristic
1311C22×C4C24×C5911yescharacteristic
1312C22×C4C24×C5911yescharacteristic
1313C22×C4C24×C5911yescharacteristic
1314C22×C4C24×C5911yescharacteristic
1315C22×C4C24×C5911yescharacteristic
1316C22×C4C24×C5911yescharacteristic
1317C22×C4C24×C5911yescharacteristic
1318C22×C4C24×C5911yescharacteristic
1319C22×C4C24×C5911yescharacteristic
1320C22×C4C24×C5911yescharacteristic
1321C22×C4C24×C5911yescharacteristic
1322C22×C4C24×C5911yescharacteristic
1323C22×C4C24×C5911yescharacteristic
1324C22×C4C24×C5911yescharacteristic
1325C22×C4C24×C5911yescharacteristic
1326C22×C4C24×C5911yescharacteristic
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—41no—
1335C4⋊C4—41no—
1336C4⋊C4—41no—
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—41no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—41no—
1394C22⋊C4—41no—
1395C22⋊C4—41no—
1396C22⋊C4—41no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4#41×C5914yes—
1409C42—22no—
1410C42—41no—
1411C42—41no—
1412C42—41no—
1413C42—41no—
1414C42—41no—
1415C42—41no—
1416C42—41no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—44no—
1464C23—44no—
1465C23—44no—
1466C23—44no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23C2×#41×C5912yes—
1471C23H(5,𝔽2)×C5912yes—
1472C23H(5,𝔽2)×C5912yes—
1473C23C25×C5911yescharacteristic
1474D4—44no—
1475D4—44no—
1476D4—44no—
1477D4—82no—
1478D4—82no—
1479D4—82no—
1480D4—82no—
1481D4—82no—
1482D4—82no—
1483D4—82no—
1484D4—82no—
1485D4—82no—
1486D4—82no—
1487D4—82no—
1488D4—82no—
1489D4—82no—
1490D4—82no—
1491D4—82no—
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—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—44no—
1563C2×C4—44no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—82no—
1567C2×C4—82no—
1568C2×C4—82no—
1569C2×C4—82no—
1570C2×C4C2×#41×C5912yes—
1571C2×C4C2×#41×C5912yes—
1572C2×C4H(5,𝔽2)×C5912yes—
1573C2×C4H(5,𝔽2)×C5912yes—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—22no—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—416no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22C22×#41×C5911yescharacteristic
1625C22C2×H(5,𝔽2)×C5911yescharacteristic
1626C22C2×H(5,𝔽2)×C5911yescharacteristic
1627C22C2×H(5,𝔽2)×C5911yescharacteristic
1628C22C2×H(5,𝔽2)×C5911yescharacteristic
1629C22C59×#58511yescharacteristic
1630C22C59×#58511yescharacteristic
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—22no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C2—42no—
1656C2—42no—
1657C2—42no—
1658C2—81no—
1659C2—81no—
1660C2—81no—
1661C2—81no—
1662C2C59×#346011yescharacteristic
1663C2C59×#351311yescharacteristic
1664C2C59×#351911yescharacteristic
1665C2C59×#353211yescharacteristic
1666C2C59×#353411yescharacteristic
1667C2C59×#353911yescharacteristic
1668C2C59×#354211yescharacteristic
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×#2849C2semidirect
2. C59×#2847C2semidirect
3. C59×#2778C2semidirect
4. C59×#2768C2semidirect
5. C59×#2753C2semidirect
6. C59×#2746C2semidirect
7. C59×#2739C2semidirect
8. C59×#2714C2semidirect
9. C59×#2709C2semidirect
10. C59×#2705C2semidirect
11. C59×#2699C2semidirect
12. C59×#2691C2semidirect
13. C59×#2685C2semidirect
14. C59×#2678C2semidirect
15. C59×#2678C2semidirect
16. C59×#2671C2semidirect
17. C59×#2671C2semidirect
18. C59×#2669C2semidirect
19. C59×#2636C2semidirect
20. C59×#2635C2semidirect
21. C59×#2576C2semidirect
22. C59×#2559C2semidirect
23. C59×#2554C2semidirect
24. C59×#2553C2semidirect
25. C59×#2468C2semidirect
26. C59×#2464C2semidirect
27. C59×#2428C2semidirect
28. C59×#2420C2semidirect
29. C59×#2335C2semidirect
30. C59×#2333C2semidirect
31. C4×#120×C59C2semidirect
35. C2×#126×C59C22semidirect
36. C2×#126×C59C22semidirect
48. C2×#121×C59C22semidirect
49. C2×#121×C59C22semidirect
57. C59×#401C22semidirect
58. C59×#400C22semidirect
59. C59×#400C22semidirect
60. C59×#400C22semidirect
62. C59×#399C22semidirect
63. C59×#399C22semidirect
64. C59×#398C22semidirect
65. C59×#398C22semidirect
66. C59×#398C22semidirect
67. C59×#398C22semidirect
68. C59×#398C22semidirect
71. C59×#397C22semidirect
72. C59×#397C22semidirect
76. C59×#396C22semidirect
87. C59×#394C22semidirect
88. C59×#394C22semidirect
89. C59×#394C22semidirect
90. C59×#394C22semidirect
91. C59×#394C22semidirect
92. C59×#394C22semidirect
93. C59×#394C22semidirect
94. C59×#394C22semidirect
95. C59×#394C22semidirect
104. C59×#392C22semidirect
111. C59×#390C22semidirect
112. C59×#390C22semidirect
113. C59×#389C22semidirect
114. C59×#389C22semidirect
115. C59×#389C22semidirect
123. C59×#388C22semidirect
124. C59×#388C22semidirect
125. C59×#388C22semidirect
126. C59×#388C22semidirect
127. C59×#388C22semidirect
128. C59×#388C22semidirect
129. C59×#388C22semidirect
130. C59×#388C22semidirect
131. C59×#387C22semidirect
132. C59×#387C22semidirect
133. C59×#387C22semidirect
134. C59×#387C22semidirect
135. C59×#387C22semidirect
136. C59×#387C22semidirect
153. C59×#386C22semidirect
154. C59×#386C22semidirect
155. C59×#386C22semidirect
156. C59×#386C22semidirect
164. C59×#385C22semidirect
165. C59×#385C22semidirect
166. C59×#385C22semidirect
167. C59×#382C22semidirect
168. C59×#382C22semidirect
171. C59×#381C22semidirect
172. C59×#381C22semidirect
176. C59×#380C22semidirect
177. C59×#380C22semidirect
180. C4×C4⋊C4×C59C22semidirect
184. C4×C22⋊C4×C59C22semidirect
185. C4×C22⋊C4×C59C22semidirect
186. C4×C22⋊C4×C59C22semidirect
739. #36887C59direct (N × H)
821. #2849C2×C59semidirect
822. #2847C2×C59semidirect
823. #2778C2×C59semidirect
824. #2768C2×C59semidirect
825. #2753C2×C59semidirect
826. #2746C2×C59semidirect
827. #2739C2×C59semidirect
828. #2714C2×C59semidirect
829. #2709C2×C59semidirect
830. #2705C2×C59semidirect
831. #2699C2×C59semidirect
832. #2691C2×C59semidirect
833. #2685C2×C59semidirect
834. #2678C2×C59semidirect
835. #2678C2×C59semidirect
836. #2671C2×C59semidirect
837. #2671C2×C59semidirect
838. #2669C2×C59semidirect
839. #2636C2×C59semidirect
840. #2635C2×C59semidirect
841. #2576C2×C59semidirect
842. #2559C2×C59semidirect
843. #2554C2×C59semidirect
844. #2553C2×C59semidirect
845. #2468C2×C59semidirect
846. #2464C2×C59semidirect
847. #2428C2×C59semidirect
848. #2420C2×C59semidirect
849. #2335C2×C59semidirect
850. #2333C2×C59semidirect
851. C4×#120C2×C59semidirect
869. C2×#126C22×C59semidirect
870. C2×#126C22×C59semidirect
882. C2×#121C22×C59semidirect
883. C2×#121C22×C59semidirect
891. #401C22×C59semidirect
892. #400C22×C59semidirect
893. #400C22×C59semidirect
894. #400C22×C59semidirect
896. #399C22×C59semidirect
897. #399C22×C59semidirect
898. #398C22×C59semidirect
899. #398C22×C59semidirect
900. #398C22×C59semidirect
901. #398C22×C59semidirect
902. #398C22×C59semidirect
905. #397C22×C59semidirect
906. #397C22×C59semidirect
910. #396C22×C59semidirect
921. #394C22×C59semidirect
922. #394C22×C59semidirect
923. #394C22×C59semidirect
924. #394C22×C59semidirect
925. #394C22×C59semidirect
926. #394C22×C59semidirect
927. #394C22×C59semidirect
928. #394C22×C59semidirect
929. #394C22×C59semidirect
938. #392C22×C59semidirect
945. #390C22×C59semidirect
946. #390C22×C59semidirect
947. #389C22×C59semidirect
948. #389C22×C59semidirect
949. #389C22×C59semidirect
957. #388C22×C59semidirect
958. #388C22×C59semidirect
959. #388C22×C59semidirect
960. #388C22×C59semidirect
961. #388C22×C59semidirect
962. #388C22×C59semidirect
963. #388C22×C59semidirect
964. #388C22×C59semidirect
965. #387C22×C59semidirect
966. #387C22×C59semidirect
967. #387C22×C59semidirect
968. #387C22×C59semidirect
969. #387C22×C59semidirect
970. #387C22×C59semidirect
987. #386C22×C59semidirect
988. #386C22×C59semidirect
989. #386C22×C59semidirect
990. #386C22×C59semidirect
998. #385C22×C59semidirect
999. #385C22×C59semidirect
1000. #385C22×C59semidirect
1001. #382C22×C59semidirect
1002. #382C22×C59semidirect
1005. #381C22×C59semidirect
1006. #381C22×C59semidirect
1010. #380C22×C59semidirect
1011. #380C22×C59semidirect
1014. C4×C4⋊C4C22×C59semidirect
1018. C4×C22⋊C4C22×C59semidirect
1019. C4×C22⋊C4C22×C59semidirect
1020. C4×C22⋊C4C22×C59semidirect
1021. C59#36887direct (N × H)

Maximal subgroups

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

subgroupindex
C59×#28492
C59×#28472
C59×#27782
C59×#27682
C59×#27532
C59×#27462
C59×#27392
C59×#27142
C59×#27092
C59×#27052
C59×#26992
C59×#26912
C59×#26852
C59×#26782
C59×#26712
C59×#26692
C59×#26362
C59×#26352
C59×#25762
C59×#25592
C59×#25542
C59×#25532
C59×#24682
C59×#24642
C59×#24282
C59×#24202
C59×#23352
C59×#23332
C4×#120×C592
#3688759