Finite Group Databasebeta

← C59×#36873 #28448982

Subgroups — C59×#36873 #28448982

Order 15104.

1872 conjugacy classes of subgroups.

The subgroup lattice has 1584 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C59×#2853C211yesmaximal, characteristic, complemented
2C59×#2850C211yesmaximal, characteristic, complemented
3C59×#2808C211yesmaximal, characteristic, complemented
4C59×#2786C211yesmaximal, characteristic, complemented
5C59×#2773C211yesmaximal, characteristic, complemented
6C59×#2756C211yesmaximal, characteristic, complemented
7C59×#2737C211yesmaximal, characteristic, complemented
8C59×#2735C211yesmaximal, characteristic, complemented
9C59×#2730C211yesmaximal, characteristic, complemented
10C59×#2723C211yesmaximal, characteristic, complemented
11C59×#2715C211yesmaximal, characteristic, complemented
12C59×#2714C211yesmaximal, characteristic, complemented
13C59×#2705C211yesmaximal, characteristic, complemented
14C59×#2692C211yesmaximal, characteristic, complemented
15C59×#2688C211yesmaximal, characteristic, complemented
16C59×#2678C211yesmaximal, characteristic, complemented
17C59×#2670C211yesmaximal, characteristic, complemented
18C59×#2668C211yesmaximal, characteristic, complemented
19C59×#2631C211yesmaximal, characteristic, complemented
20C59×#2630C211yesmaximal, characteristic, complemented
21C59×#2525C211yesmaximal, characteristic, complemented
22C59×#2523C211yesmaximal, characteristic, complemented
23C59×#2521C211yesmaximal, characteristic, complemented
24C59×#2474C211yesmaximal, characteristic, complemented
25C59×#2472C211yesmaximal, characteristic, complemented
26C59×#2471C211yesmaximal, characteristic, complemented
27C59×#2467C211yesmaximal, characteristic, complemented
28C59×#2418C211yesmaximal, characteristic, complemented
29C59×#2324C211yesmaximal, characteristic, complemented
30C59×#2321C211yesmaximal, characteristic, complemented
31C4×#121×C59C211yesmaximal, characteristic, complemented
32C2×#126×C59C2211yescharacteristic, complemented
33C2×#126×C59C2211yescharacteristic, complemented
34C2×#124×C59C2211yescharacteristic
35C2×#124×C59C2211yescharacteristic
36C2×#124×C59C2211yescharacteristic
37C2×#123×C59C2211yescharacteristic
38C2×#123×C59C2211yescharacteristic
39C2×C22⋊Q8×C59C2211yescharacteristic
40C2×C22⋊Q8×C59C2211yescharacteristic, complemented
41C2×#121×C59C2211yescharacteristic
42C2×#121×C59C2211yescharacteristic
43C2×#121×C59C2211yescharacteristic
44C2×#120×C59C2211yescharacteristic
45C2×#120×C59C2211yescharacteristic
46C2×#120×C59C2211yescharacteristic
47C2×C4×D4×C59C2211yescharacteristic
48C2×C4×D4×C59C2211yescharacteristic
49C2×C4×D4×C59C2211yescharacteristic, complemented
50C2×#117×C59C2211yescharacteristic, complemented
51C22×C22⋊C4×C59C2211yescharacteristic
52C22×C42×C59C2211yescharacteristic, complemented
53C59×#400C2211yescharacteristic, complemented
54C59×#399C2211yescharacteristic
55C59×#399C2211yescharacteristic
56C59×#399C2211yescharacteristic
57C59×#399C2211yescharacteristic, complemented
58C59×#398C2211yescharacteristic, complemented
59C59×#398C2211yescharacteristic, complemented
60C59×#397C2211yescharacteristic
61C59×#397C2211yescharacteristic
62C59×#397C2211yescharacteristic
63C59×#397C2211yescharacteristic
64C59×#397C2211yescharacteristic
65C59×#397C2211yescharacteristic
66C59×#397C2211yescharacteristic
67C59×#397C2211yescharacteristic
68C59×#397C2211yescharacteristic, complemented
69C59×#397C2211yescharacteristic, complemented
70C59×#397C2211yescharacteristic, complemented
71C59×#397C2211yescharacteristic, complemented
72C59×#396C2211yescharacteristic
73C59×#396C2211yescharacteristic
74C59×#396C2211yescharacteristic
75C59×#396C2211yescharacteristic, complemented
76C59×#396C2211yescharacteristic, complemented
77C59×#395C2211yescharacteristic, complemented
78C59×#395C2211yescharacteristic, complemented
79C59×#394C2211yescharacteristic
80C59×#394C2211yescharacteristic
81C59×#394C2211yescharacteristic
82C59×#394C2211yescharacteristic
83C59×#394C2211yescharacteristic
84C59×#394C2211yescharacteristic
85C59×#394C2211yescharacteristic
86C59×#394C2211yescharacteristic
87C59×#394C2211yescharacteristic
88C59×#394C2211yescharacteristic
89C59×#394C2211yescharacteristic, complemented
90C59×#393C2211yescharacteristic
91C59×#393C2211yescharacteristic
92C59×#393C2211yescharacteristic, complemented
93C59×#393C2211yescharacteristic, complemented
94C59×#392C2211yescharacteristic
95C59×#392C2211yescharacteristic
96C59×#392C2211yescharacteristic
97C59×#392C2211yescharacteristic
98C59×#392C2211yescharacteristic
99C59×#392C2211yescharacteristic
100C59×#392C2211yescharacteristic, complemented
101C59×#391C2211yescharacteristic, complemented
102C59×#391C2211yescharacteristic, complemented
103C59×#391C2211yescharacteristic, complemented
104C59×#390C2211yescharacteristic
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
124C59×#388C2211yescharacteristic
125C59×#388C2211yescharacteristic
126C59×#388C2211yescharacteristic
127C59×#388C2211yescharacteristic
128C59×#388C2211yescharacteristic
129C59×#388C2211yescharacteristic
130C59×#388C2211yescharacteristic
131C59×#388C2211yescharacteristic
132C59×#388C2211yescharacteristic
133C59×#388C2211yescharacteristic, complemented
134C59×#388C2211yescharacteristic, complemented
135C59×#388C2211yescharacteristic, complemented
136C59×#388C2211yescharacteristic, complemented
137C59×#388C2211yescharacteristic, complemented
138C59×#387C2211yescharacteristic, complemented
139C59×#387C2211yescharacteristic, complemented
140C59×#387C2211yescharacteristic, complemented
141C59×#387C2211yescharacteristic, complemented
142C59×#387C2211yescharacteristic, complemented
143C59×#387C2211yescharacteristic, complemented
144C59×#387C2211yescharacteristic, complemented
145C59×#387C2211yescharacteristic, complemented
146C59×#387C2211yescharacteristic, complemented
147C59×#387C2211yescharacteristic, complemented
148C59×#387C2211yescharacteristic, complemented
149C59×#386C2211yescharacteristic
150C59×#386C2211yescharacteristic
151C59×#386C2211yescharacteristic
152C59×#386C2211yescharacteristic
153C59×#386C2211yescharacteristic
154C59×#386C2211yescharacteristic
155C59×#386C2211yescharacteristic
156C59×#386C2211yescharacteristic
157C59×#386C2211yescharacteristic
158C59×#386C2211yescharacteristic
159C59×#386C2211yescharacteristic
160C59×#386C2211yescharacteristic
161C59×#386C2211yescharacteristic, complemented
162C59×#386C2211yescharacteristic, complemented
163C59×#386C2211yescharacteristic, complemented
164C59×#386C2211yescharacteristic, complemented
165C59×#386C2211yescharacteristic, complemented
166C59×#385C2211yescharacteristic
167C59×#385C2211yescharacteristic
168C59×#385C2211yescharacteristic, complemented
169C59×#385C2211yescharacteristic, complemented
170C59×#385C2211yescharacteristic, complemented
171C59×#383C2211yescharacteristic, complemented
172C59×#383C2211yescharacteristic, complemented
173C59×#382C2211yescharacteristic, complemented
174C59×#381C2211yescharacteristic, complemented
175C59×#380C2211yescharacteristic
176C59×#380C2211yescharacteristic, complemented
177C59×#380C2211yescharacteristic, complemented
178C59×#380C2211yescharacteristic, complemented
179C59×#379C2211yescharacteristic
180C59×#379C2211yescharacteristic
181C59×#379C2211yescharacteristic
182C4×C4⋊C4×C59C2211yescharacteristic, complemented
183C4×C4⋊C4×C59C2211yescharacteristic, complemented
184C4×C22⋊C4×C59C2211yescharacteristic
185C4×C22⋊C4×C59C2211yescharacteristic
186C4×C22⋊C4×C59C2211yescharacteristic, complemented
187C25×C59C2311yescharacteristic
188C22×Q8×C59C2311yescharacteristic
189C22×Q8×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
202C23×C4×C59C2311yescharacteristic
203C23×C4×C59C2311yescharacteristic
204C23×C4×C59C2311yescharacteristic
205C23×C4×C59C2311yescharacteristic
206C23×C4×C59C2311yescharacteristic
207C23×C4×C59C2311yescharacteristic
208C23×C4×C59C2311yescharacteristic
209#126×C59—42no—
210#126×C59—42no—
211#124×C59—42no—
212#124×C59—42no—
213#124×C59—42no—
214#123×C59—42no—
215#123×C59—42no—
216C22⋊Q8×C59—42no—
217C22⋊Q8×C59—42no—
218#121×C59—24no—
219#121×C59—24no—
220#121×C59—42no—
221#120×C59—24no—
222#120×C59—42no—
223#120×C59—42no—
224C4×D4×C59—42no—
225C4×D4×C59—42no—
226C4×D4×C59—42no—
227#117×C59—42no—
228C2×C4⋊C4×C59C2311yescharacteristic
229C2×C4⋊C4×C59C2311yescharacteristic
230C2×C4⋊C4×C59C2311yescharacteristic
231C2×C4⋊C4×C59C2311yescharacteristic
232C2×C4⋊C4×C59C2311yescharacteristic
233C2×C4⋊C4×C59C2311yescharacteristic
234C2×C4⋊C4×C59C2311yescharacteristic
235C2×C4⋊C4×C59C2311yescharacteristic
236C2×C4⋊C4×C59C2311yescharacteristic
237C2×C4⋊C4×C59C2311yescharacteristic
238C2×C4⋊C4×C59C2311yescharacteristic
239C2×C4⋊C4×C59C2311yescharacteristic
240C2×C4⋊C4×C59C2311yescharacteristic
241C2×C4⋊C4×C59C2311yescharacteristic
242C2×C4⋊C4×C59C2311yescharacteristic
243C2×C4⋊C4×C59C2311yescharacteristic
244C2×C4⋊C4×C59C2311yescharacteristic
245C2×C4⋊C4×C59C2311yescharacteristic
246C2×C4⋊C4×C59C2311yescharacteristic
247C2×C4⋊C4×C59C2311yescharacteristic
248C2×C4⋊C4×C59C2311yescharacteristic
249C2×C4⋊C4×C59C2311yescharacteristic
250C2×C4⋊C4×C59C2311yescharacteristic
251C2×C4⋊C4×C59C2311yescharacteristic
252C2×C4⋊C4×C59C2311yescharacteristic
253C2×C4⋊C4×C59C2311yescharacteristic
254C2×C22⋊C4×C59—42no—
255C2×C22⋊C4×C59C2311yescharacteristic
256C2×C22⋊C4×C59C2311yescharacteristic
257C2×C22⋊C4×C59C2311yescharacteristic
258C2×C22⋊C4×C59C2311yescharacteristic
259C2×C22⋊C4×C59C2311yescharacteristic
260C2×C22⋊C4×C59C2311yescharacteristic
261C2×C22⋊C4×C59C2311yescharacteristic
262C2×C22⋊C4×C59C2311yescharacteristic
263C2×C22⋊C4×C59C2311yescharacteristic
264C2×C22⋊C4×C59C2311yescharacteristic
265C2×C22⋊C4×C59C2311yescharacteristic
266C2×C22⋊C4×C59C2311yescharacteristic
267C2×C22⋊C4×C59C2311yescharacteristic
268C2×C22⋊C4×C59C2311yescharacteristic
269C2×C22⋊C4×C59C2311yescharacteristic
270C2×C22⋊C4×C59C2311yescharacteristic
271C2×C22⋊C4×C59C2311yescharacteristic
272C2×C22⋊C4×C59C2311yescharacteristic
273C2×C22⋊C4×C59C2311yescharacteristic
274C2×C22⋊C4×C59C2311yescharacteristic
275C2×C22⋊C4×C59C2311yescharacteristic
276C2×C22⋊C4×C59C2311yescharacteristic
277C2×C22⋊C4×C59C2311yescharacteristic
278C2×C22⋊C4×C59C2311yescharacteristic
279C2×C22⋊C4×C59C2311yescharacteristic
280C2×C22⋊C4×C59C2311yescharacteristic
281C2×C22⋊C4×C59C2311yescharacteristic
282C2×C22⋊C4×C59C2311yescharacteristic
283C2×C22⋊C4×C59C2311yescharacteristic
284C2×C22⋊C4×C59C2311yescharacteristic
285C2×C22⋊C4×C59C2311yescharacteristic
286C2×C22⋊C4×C59C2311yescharacteristic
287C2×C22⋊C4×C59C2311yescharacteristic
288C2×C22⋊C4×C59C2311yescharacteristic
289C2×C22⋊C4×C59C2311yescharacteristic
290C2×C22⋊C4×C59C2311yescharacteristic
291C2×C22⋊C4×C59C2311yescharacteristic
292C2×C22⋊C4×C59C2311yescharacteristic
293C2×C22⋊C4×C59C2311yescharacteristic
294C2×C22⋊C4×C59C2311yescharacteristic
295C2×C22⋊C4×C59C2311yescharacteristic
296C2×C22⋊C4×C59C2311yescharacteristic
297C2×C22⋊C4×C59C2311yescharacteristic
298C2×C22⋊C4×C59C2311yescharacteristic
299C2×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×C42×C59—42no—
312C2×C42×C59C2311yescharacteristic
313C2×C42×C59C2311yescharacteristic
314C2×C42×C59C2311yescharacteristic
315C2×C42×C59C2311yescharacteristic
316C2×C42×C59C2311yescharacteristic
317C2×C42×C59C2311yescharacteristic
318C2×C42×C59C2311yescharacteristic
319C2×C42×C59C2311yescharacteristic
320C2×C42×C59C2311yescharacteristic
321C2×C42×C59C2311yescharacteristic
322C2×C42×C59C2311yescharacteristic
323#95×C59C2311yescharacteristic
324#95×C59C2311yescharacteristic
325#95×C59C2311yescharacteristic
326#95×C59C2311yescharacteristic
327#95×C59C2311yescharacteristic
328#95×C59C2311yescharacteristic
329#95×C59C2311yescharacteristic
330#95×C59C2311yescharacteristic
331#95×C59C2311yescharacteristic
332#95×C59C2311yescharacteristic
333#95×C59C2311yescharacteristic
334#95×C59C2311yescharacteristic
335#95×C59C2311yescharacteristic
336#95×C59C2311yescharacteristic
337#95×C59C2311yescharacteristic
338#95×C59C2311yescharacteristic
339#95×C59C2311yescharacteristic
340#95×C59C2311yescharacteristic
341#95×C59C2311yescharacteristic
342#95×C59C2311yescharacteristic
343#95×C59C2311yescharacteristic
344#95×C59C2311yescharacteristic
345#95×C59C2311yescharacteristic
346#95×C59C2311yescharacteristic
347#95×C59C2311yescharacteristic
348#95×C59C2311yescharacteristic
349#95×C59C2311yescharacteristic
350#95×C59C2311yescharacteristic
351#95×C59C2311yescharacteristic
352#95×C59C2311yescharacteristic
353#95×C59C2311yescharacteristic
354#95×C59C2311yescharacteristic
355#95×C59C2311yescharacteristic
356#95×C59C2311yescharacteristic
357#95×C59C2311yescharacteristic
358#95×C59C2311yescharacteristic
359#95×C59C2311yescharacteristic
360#95×C59C2311yescharacteristic
361#95×C59C2311yescharacteristic
362#95×C59C2311yescharacteristic
363C24×C59—22no—
364C24×C59—41no—
365C24×C59—41no—
366C24×C59—41no—
367C24×C59—41no—
368C24×C59—41no—
369C24×C59—41no—
370C24×C59C2411yescharacteristic
371C24×C59C2411yescharacteristic
372C24×C59C2411yescharacteristic
373C24×C59C2411yescharacteristic
374C24×C59C2411yescharacteristic
375C24×C59C2411yescharacteristic
376C2×Q8×C59—22no—
377C2×Q8×C59—41no—
378C2×Q8×C59—41no—
379C2×Q8×C59—41no—
380C2×Q8×C59—41no—
381C2×Q8×C59—41no—
382C2×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—41no—
391C2×D4×C59—41no—
392C2×D4×C59—41no—
393C2×D4×C59—41no—
394C2×D4×C59—41no—
395C2×D4×C59—41no—
396C2×D4×C59—41no—
397C2×D4×C59—41no—
398C2×D4×C59—41no—
399C2×D4×C59—41no—
400C2×D4×C59—41no—
401C2×D4×C59—41no—
402C2×D4×C59—41no—
403C2×D4×C59—41no—
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#4114yes—
418C22×C4×C59—22no—
419C22×C4×C59—22no—
420C22×C4×C59—22no—
421C22×C4×C59—22no—
422C22×C4×C59—22no—
423C22×C4×C59—22no—
424C22×C4×C59—22no—
425C22×C4×C59—41no—
426C22×C4×C59—41no—
427C22×C4×C59—41no—
428C22×C4×C59—41no—
429C22×C4×C59—41no—
430C22×C4×C59—41no—
431C22×C4×C59—41no—
432C22×C4×C59—41no—
433C22×C4×C59—41no—
434C22×C4×C59—41no—
435C22×C4×C59—41no—
436C22×C4×C59—41no—
437C22×C4×C59—41no—
438C22×C4×C59—41no—
439C22×C4×C59C2411yescharacteristic
440C22×C4×C59C2411yescharacteristic
441C22×C4×C59C2411yescharacteristic
442C22×C4×C59C2411yescharacteristic
443C22×C4×C59C2411yescharacteristic
444C22×C4×C59C2411yescharacteristic
445C22×C4×C59C2411yescharacteristic
446C22×C4×C59C2411yescharacteristic
447C22×C4×C59C2411yescharacteristic
448C22×C4×C59C2411yescharacteristic
449C22×C4×C59C2411yescharacteristic
450C22×C4×C59C2411yescharacteristic
451C22×C4×C59C2411yescharacteristic
452C22×C4×C59C2411yescharacteristic
453C22×C4×C59C2411yescharacteristic
454C22×C4×C59C2411yescharacteristic
455C22×C4×C59C2411yescharacteristic
456C22×C4×C59C2411yescharacteristic
457C22×C4×C59C2411yescharacteristic
458C22×C4×C59C2411yescharacteristic
459C22×C4×C59C2411yescharacteristic
460C22×C4×C59C2411yescharacteristic
461C22×C4×C59C2411yescharacteristic
462C22×C4×C59C2411yescharacteristic
463C22×C4×C59C2411yescharacteristic
464C4⋊C4×C59—22no—
465C4⋊C4×C59—22no—
466C4⋊C4×C59—22no—
467C4⋊C4×C59—22no—
468C4⋊C4×C59—22no—
469C4⋊C4×C59—22no—
470C4⋊C4×C59—22no—
471C4⋊C4×C59—22no—
472C4⋊C4×C59—41no—
473C4⋊C4×C59—41no—
474C4⋊C4×C59—41no—
475C4⋊C4×C59—41no—
476C4⋊C4×C59—41no—
477C4⋊C4×C59—41no—
478C4⋊C4×C59—41no—
479C4⋊C4×C59—41no—
480C4⋊C4×C59—41no—
481C4⋊C4×C59—41no—
482C4⋊C4×C59—41no—
483C4⋊C4×C59—41no—
484C4⋊C4×C59—41no—
485C4⋊C4×C59—41no—
486C4⋊C4×C59—41no—
487C4⋊C4×C59—41no—
488C4⋊C4×C59—41no—
489C4⋊C4×C59—41no—
490C22⋊C4×C59—22no—
491C22⋊C4×C59—22no—
492C22⋊C4×C59—22no—
493C22⋊C4×C59—22no—
494C22⋊C4×C59—22no—
495C22⋊C4×C59—22no—
496C22⋊C4×C59—22no—
497C22⋊C4×C59—22no—
498C22⋊C4×C59—22no—
499C22⋊C4×C59—22no—
500C22⋊C4×C59—22no—
501C22⋊C4×C59—22no—
502C22⋊C4×C59—22no—
503C22⋊C4×C59—22no—
504C22⋊C4×C59—22no—
505C22⋊C4×C59—22no—
506C22⋊C4×C59—41no—
507C22⋊C4×C59—41no—
508C22⋊C4×C59—41no—
509C22⋊C4×C59—41no—
510C22⋊C4×C59—41no—
511C22⋊C4×C59—41no—
512C22⋊C4×C59—41no—
513C22⋊C4×C59—41no—
514C22⋊C4×C59—41no—
515C22⋊C4×C59—41no—
516C22⋊C4×C59—41no—
517C22⋊C4×C59—41no—
518C22⋊C4×C59—41no—
519C22⋊C4×C59—41no—
520C22⋊C4×C59—41no—
521C22⋊C4×C59—41no—
522C22⋊C4×C59—41no—
523C22⋊C4×C59—41no—
524C22⋊C4×C59—41no—
525C22⋊C4×C59—41no—
526C22⋊C4×C59—41no—
527C22⋊C4×C59—41no—
528C22⋊C4×C59—41no—
529C22⋊C4×C59—41no—
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—
546C42×C59—22no—
547C42×C59—22no—
548C42×C59—22no—
549C42×C59—22no—
550C42×C59—41no—
551C42×C59—41no—
552C42×C59—41no—
553C42×C59—41no—
554C42×C59—41no—
555C42×C59—41no—
556C42×C59—41no—
557C23×C59—21no—
558C23×C59—21no—
559C23×C59—21no—
560C23×C59—21no—
561C23×C59—21no—
562C23×C59—21no—
563C23×C59—21no—
564C23×C59—21no—
565C23×C59—21no—
566C23×C59—21no—
567C23×C59—21no—
568C23×C59—21no—
569C23×C59—21no—
570C23×C59—21no—
571C23×C59—21no—
572C23×C59—21no—
573C23×C59—21no—
574C23×C59—21no—
575C23×C59—21no—
576C23×C59—21no—
577C23×C59—21no—
578C23×C59—21no—
579C23×C59—21no—
580C23×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—44no—
598C23×C59—82no—
599C23×C59—82no—
600C23×C59—82no—
601C23×C59—82no—
602C23×C59—82no—
603C23×C59—82no—
604C23×C59C2×#4112yes—
605C23×C59C2×#4112yes—
606C23×C59C2511yescharacteristic
607Q8×C59—82no—
608Q8×C59—82no—
609D4×C59—44no—
610D4×C59—44no—
611D4×C59—44no—
612D4×C59—82no—
613D4×C59—82no—
614D4×C59—82no—
615D4×C59—82no—
616D4×C59—82no—
617D4×C59—82no—
618D4×C59—82no—
619D4×C59—82no—
620D4×C59—82no—
621C2×C4×C59—21no—
622C2×C4×C59—21no—
623C2×C4×C59—21no—
624C2×C4×C59—21no—
625C2×C4×C59—21no—
626C2×C4×C59—21no—
627C2×C4×C59—21no—
628C2×C4×C59—21no—
629C2×C4×C59—21no—
630C2×C4×C59—21no—
631C2×C4×C59—21no—
632C2×C4×C59—21no—
633C2×C4×C59—21no—
634C2×C4×C59—21no—
635C2×C4×C59—21no—
636C2×C4×C59—21no—
637C2×C4×C59—21no—
638C2×C4×C59—21no—
639C2×C4×C59—21no—
640C2×C4×C59—21no—
641C2×C4×C59—21no—
642C2×C4×C59—21no—
643C2×C4×C59—21no—
644C2×C4×C59—21no—
645C2×C4×C59—21no—
646C2×C4×C59—21no—
647C2×C4×C59—21no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—21no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59—21no—
665C2×C4×C59—21no—
666C2×C4×C59—21no—
667C2×C4×C59—21no—
668C2×C4×C59—21no—
669C2×C4×C59—21no—
670C2×C4×C59—21no—
671C2×C4×C59—21no—
672C2×C4×C59—21no—
673C2×C4×C59—21no—
674C2×C4×C59—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—44no—
693C2×C4×C59—44no—
694C2×C4×C59—44no—
695C2×C4×C59—44no—
696C2×C4×C59—82no—
697C2×C4×C59—82no—
698C2×C4×C59—82no—
699C2×C4×C59C2×#4112yes—
700C2×C4×C59H(5,𝔽2)12yes—
701C2×C4×C59H(5,𝔽2)12yes—
702C2×C4×C59H(5,𝔽2)12yes—
703#36873C5911yesmaximal, characteristic, direct product factor, Sylow
704C22×C59—22no—
705C22×C59—22no—
706C22×C59—22no—
707C22×C59—22no—
708C22×C59—22no—
709C22×C59—22no—
710C22×C59—41no—
711C22×C59—41no—
712C22×C59—41no—
713C22×C59—41no—
714C22×C59—41no—
715C22×C59—41no—
716C22×C59—41no—
717C22×C59—41no—
718C22×C59—41no—
719C22×C59—41no—
720C22×C59—41no—
721C22×C59—41no—
722C22×C59—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—88no—
747C22×C59C22×#4111yescharacteristic
748C22×C59C2×H(5,𝔽2)11yescharacteristic
749C22×C59C2×H(5,𝔽2)11yescharacteristic
750C22×C59C2×H(5,𝔽2)11yescharacteristic
751C22×C59#58511yescharacteristic
752C22×C59#58511yescharacteristic
753C22×C59#58511yescharacteristic
754C4×C59—22no—
755C4×C59—22no—
756C4×C59—22no—
757C4×C59—22no—
758C4×C59—41no—
759C4×C59—41no—
760C4×C59—41no—
761C4×C59—41no—
762C4×C59—41no—
763C4×C59—41no—
764C4×C59—41no—
765C4×C59—41no—
766C4×C59—41no—
767C4×C59—41no—
768C4×C59—41no—
769C4×C59—41no—
770C4×C59—41no—
771C4×C59—41no—
772C4×C59—41no—
773C4×C59—41no—
774C4×C59—41no—
775C4×C59—41no—
776C4×C59—41no—
777C4×C59—41no—
778C4×C59—41no—
779#2853C2×C5911yescharacteristic, complemented
780#2850C2×C5911yescharacteristic, complemented
781#2808C2×C5911yescharacteristic, complemented
782#2786C2×C5911yescharacteristic, complemented
783#2773C2×C5911yescharacteristic, complemented
784#2756C2×C5911yescharacteristic, complemented
785#2737C2×C5911yescharacteristic, complemented
786#2735C2×C5911yescharacteristic, complemented
787#2730C2×C5911yescharacteristic, complemented
788#2723C2×C5911yescharacteristic, complemented
789#2715C2×C5911yescharacteristic, complemented
790#2714C2×C5911yescharacteristic, complemented
791#2705C2×C5911yescharacteristic, complemented
792#2692C2×C5911yescharacteristic, complemented
793#2688C2×C5911yescharacteristic, complemented
794#2678C2×C5911yescharacteristic, complemented
795#2670C2×C5911yescharacteristic, complemented
796#2668C2×C5911yescharacteristic, complemented
797#2631C2×C5911yescharacteristic, complemented
798#2630C2×C5911yescharacteristic, complemented
799#2525C2×C5911yescharacteristic, complemented
800#2523C2×C5911yescharacteristic, complemented
801#2521C2×C5911yescharacteristic, complemented
802#2474C2×C5911yescharacteristic, complemented
803#2472C2×C5911yescharacteristic, complemented
804#2471C2×C5911yescharacteristic, complemented
805#2467C2×C5911yescharacteristic, complemented
806#2418C2×C5911yescharacteristic, complemented
807#2324C2×C5911yescharacteristic, complemented
808#2321C2×C5911yescharacteristic, complemented
809C4×#121C2×C5911yescharacteristic, complemented
810C2×C59—42no—
811C2×C59—42no—
812C2×C59—81no—
813C2×C59—81no—
814C2×C59—81no—
815C2×C59—81no—
816C2×C59#345911yescharacteristic
817C2×C59#351311yescharacteristic
818C2×C59#351411yescharacteristic
819C2×C59#354211yescharacteristic
820C2×C59#354211yescharacteristic
821C2×C59#354611yescharacteristic
822C2×C59#356811yescharacteristic
823C2×#126C22×C5911yescharacteristic, complemented
824C2×#126C22×C5911yescharacteristic, complemented
825C2×#124C22×C5911yescharacteristic
826C2×#124C22×C5911yescharacteristic
827C2×#124C22×C5911yescharacteristic
828C2×#123C22×C5911yescharacteristic
829C2×#123C22×C5911yescharacteristic
830C2×C22⋊Q8C22×C5911yescharacteristic
831C2×C22⋊Q8C22×C5911yescharacteristic, complemented
832C2×#121C22×C5911yescharacteristic
833C2×#121C22×C5911yescharacteristic
834C2×#121C22×C5911yescharacteristic
835C2×#120C22×C5911yescharacteristic
836C2×#120C22×C5911yescharacteristic
837C2×#120C22×C5911yescharacteristic
838C2×C4×D4C22×C5911yescharacteristic
839C2×C4×D4C22×C5911yescharacteristic
840C2×C4×D4C22×C5911yescharacteristic, complemented
841C2×#117C22×C5911yescharacteristic, complemented
842C22×C22⋊C4C22×C5911yescharacteristic
843C22×C42C22×C5911yescharacteristic, complemented
844#400C22×C5911yescharacteristic, complemented
845#399C22×C5911yescharacteristic
846#399C22×C5911yescharacteristic
847#399C22×C5911yescharacteristic
848#399C22×C5911yescharacteristic, complemented
849#398C22×C5911yescharacteristic, complemented
850#398C22×C5911yescharacteristic, complemented
851#397C22×C5911yescharacteristic
852#397C22×C5911yescharacteristic
853#397C22×C5911yescharacteristic
854#397C22×C5911yescharacteristic
855#397C22×C5911yescharacteristic
856#397C22×C5911yescharacteristic
857#397C22×C5911yescharacteristic
858#397C22×C5911yescharacteristic
859#397C22×C5911yescharacteristic, complemented
860#397C22×C5911yescharacteristic, complemented
861#397C22×C5911yescharacteristic, complemented
862#397C22×C5911yescharacteristic, complemented
863#396C22×C5911yescharacteristic
864#396C22×C5911yescharacteristic
865#396C22×C5911yescharacteristic
866#396C22×C5911yescharacteristic, complemented
867#396C22×C5911yescharacteristic, complemented
868#395C22×C5911yescharacteristic, complemented
869#395C22×C5911yescharacteristic, complemented
870#394C22×C5911yescharacteristic
871#394C22×C5911yescharacteristic
872#394C22×C5911yescharacteristic
873#394C22×C5911yescharacteristic
874#394C22×C5911yescharacteristic
875#394C22×C5911yescharacteristic
876#394C22×C5911yescharacteristic
877#394C22×C5911yescharacteristic
878#394C22×C5911yescharacteristic
879#394C22×C5911yescharacteristic
880#394C22×C5911yescharacteristic, complemented
881#393C22×C5911yescharacteristic
882#393C22×C5911yescharacteristic
883#393C22×C5911yescharacteristic, complemented
884#393C22×C5911yescharacteristic, complemented
885#392C22×C5911yescharacteristic
886#392C22×C5911yescharacteristic
887#392C22×C5911yescharacteristic
888#392C22×C5911yescharacteristic
889#392C22×C5911yescharacteristic
890#392C22×C5911yescharacteristic
891#392C22×C5911yescharacteristic, complemented
892#391C22×C5911yescharacteristic, complemented
893#391C22×C5911yescharacteristic, complemented
894#391C22×C5911yescharacteristic, complemented
895#390C22×C5911yescharacteristic
896#390C22×C5911yescharacteristic
897#390C22×C5911yescharacteristic
898#390C22×C5911yescharacteristic
899#390C22×C5911yescharacteristic
900#390C22×C5911yescharacteristic
901#390C22×C5911yescharacteristic
902#390C22×C5911yescharacteristic, complemented
903#390C22×C5911yescharacteristic, complemented
904#389C22×C5911yescharacteristic, complemented
905#389C22×C5911yescharacteristic, complemented
906#389C22×C5911yescharacteristic, complemented
907#388C22×C5911yescharacteristic
908#388C22×C5911yescharacteristic
909#388C22×C5911yescharacteristic
910#388C22×C5911yescharacteristic
911#388C22×C5911yescharacteristic
912#388C22×C5911yescharacteristic
913#388C22×C5911yescharacteristic
914#388C22×C5911yescharacteristic
915#388C22×C5911yescharacteristic
916#388C22×C5911yescharacteristic
917#388C22×C5911yescharacteristic
918#388C22×C5911yescharacteristic
919#388C22×C5911yescharacteristic
920#388C22×C5911yescharacteristic
921#388C22×C5911yescharacteristic
922#388C22×C5911yescharacteristic
923#388C22×C5911yescharacteristic
924#388C22×C5911yescharacteristic, complemented
925#388C22×C5911yescharacteristic, complemented
926#388C22×C5911yescharacteristic, complemented
927#388C22×C5911yescharacteristic, complemented
928#388C22×C5911yescharacteristic, complemented
929#387C22×C5911yescharacteristic, complemented
930#387C22×C5911yescharacteristic, complemented
931#387C22×C5911yescharacteristic, complemented
932#387C22×C5911yescharacteristic, complemented
933#387C22×C5911yescharacteristic, complemented
934#387C22×C5911yescharacteristic, complemented
935#387C22×C5911yescharacteristic, complemented
936#387C22×C5911yescharacteristic, complemented
937#387C22×C5911yescharacteristic, complemented
938#387C22×C5911yescharacteristic, complemented
939#387C22×C5911yescharacteristic, complemented
940#386C22×C5911yescharacteristic
941#386C22×C5911yescharacteristic
942#386C22×C5911yescharacteristic
943#386C22×C5911yescharacteristic
944#386C22×C5911yescharacteristic
945#386C22×C5911yescharacteristic
946#386C22×C5911yescharacteristic
947#386C22×C5911yescharacteristic
948#386C22×C5911yescharacteristic
949#386C22×C5911yescharacteristic
950#386C22×C5911yescharacteristic
951#386C22×C5911yescharacteristic
952#386C22×C5911yescharacteristic, complemented
953#386C22×C5911yescharacteristic, complemented
954#386C22×C5911yescharacteristic, complemented
955#386C22×C5911yescharacteristic, complemented
956#386C22×C5911yescharacteristic, complemented
957#385C22×C5911yescharacteristic
958#385C22×C5911yescharacteristic
959#385C22×C5911yescharacteristic, complemented
960#385C22×C5911yescharacteristic, complemented
961#385C22×C5911yescharacteristic, complemented
962#383C22×C5911yescharacteristic, complemented
963#383C22×C5911yescharacteristic, complemented
964#382C22×C5911yescharacteristic, complemented
965#381C22×C5911yescharacteristic, complemented
966#380C22×C5911yescharacteristic
967#380C22×C5911yescharacteristic, complemented
968#380C22×C5911yescharacteristic, complemented
969#380C22×C5911yescharacteristic, complemented
970#379C22×C5911yescharacteristic
971#379C22×C5911yescharacteristic
972#379C22×C5911yescharacteristic
973C4×C4⋊C4C22×C5911yescharacteristic, complemented
974C4×C4⋊C4C22×C5911yescharacteristic, complemented
975C4×C22⋊C4C22×C5911yescharacteristic
976C4×C22⋊C4C22×C5911yescharacteristic
977C4×C22⋊C4C22×C5911yescharacteristic, complemented
978C59#3687311yescharacteristic, direct product factor, Sylow
979C25C23×C5911yescharacteristic
980C22×Q8C23×C5911yescharacteristic
981C22×Q8C23×C5911yescharacteristic
982C22×D4C23×C5911yescharacteristic
983C22×D4C23×C5911yescharacteristic
984C22×D4C23×C5911yescharacteristic
985C22×D4C23×C5911yescharacteristic
986C22×D4C23×C5911yescharacteristic
987C22×D4C23×C5911yescharacteristic
988C22×D4C23×C5911yescharacteristic
989C22×D4C23×C5911yescharacteristic
990C22×D4C23×C5911yescharacteristic
991C22×D4C23×C5911yescharacteristic
992C22×D4C23×C5911yescharacteristic
993C22×D4C23×C5911yescharacteristic
994C23×C4C23×C5911yescharacteristic
995C23×C4C23×C5911yescharacteristic
996C23×C4C23×C5911yescharacteristic
997C23×C4C23×C5911yescharacteristic
998C23×C4C23×C5911yescharacteristic
999C23×C4C23×C5911yescharacteristic
1000C23×C4C23×C5911yescharacteristic
1001#126—42no—
1002#126—42no—
1003#124—42no—
1004#124—42no—
1005#124—42no—
1006#123—42no—
1007#123—42no—
1008C22⋊Q8—42no—
1009C22⋊Q8—42no—
1010#121—24no—
1011#121—24no—
1012#121—42no—
1013#120—24no—
1014#120—42no—
1015#120—42no—
1016C4×D4—42no—
1017C4×D4—42no—
1018C4×D4—42no—
1019#117—42no—
1020C2×C4⋊C4C23×C5911yescharacteristic
1021C2×C4⋊C4C23×C5911yescharacteristic
1022C2×C4⋊C4C23×C5911yescharacteristic
1023C2×C4⋊C4C23×C5911yescharacteristic
1024C2×C4⋊C4C23×C5911yescharacteristic
1025C2×C4⋊C4C23×C5911yescharacteristic
1026C2×C4⋊C4C23×C5911yescharacteristic
1027C2×C4⋊C4C23×C5911yescharacteristic
1028C2×C4⋊C4C23×C5911yescharacteristic
1029C2×C4⋊C4C23×C5911yescharacteristic
1030C2×C4⋊C4C23×C5911yescharacteristic
1031C2×C4⋊C4C23×C5911yescharacteristic
1032C2×C4⋊C4C23×C5911yescharacteristic
1033C2×C4⋊C4C23×C5911yescharacteristic
1034C2×C4⋊C4C23×C5911yescharacteristic
1035C2×C4⋊C4C23×C5911yescharacteristic
1036C2×C4⋊C4C23×C5911yescharacteristic
1037C2×C4⋊C4C23×C5911yescharacteristic
1038C2×C4⋊C4C23×C5911yescharacteristic
1039C2×C4⋊C4C23×C5911yescharacteristic
1040C2×C4⋊C4C23×C5911yescharacteristic
1041C2×C4⋊C4C23×C5911yescharacteristic
1042C2×C4⋊C4C23×C5911yescharacteristic
1043C2×C4⋊C4C23×C5911yescharacteristic
1044C2×C4⋊C4C23×C5911yescharacteristic
1045C2×C4⋊C4C23×C5911yescharacteristic
1046C2×C22⋊C4—42no—
1047C2×C22⋊C4C23×C5911yescharacteristic
1048C2×C22⋊C4C23×C5911yescharacteristic
1049C2×C22⋊C4C23×C5911yescharacteristic
1050C2×C22⋊C4C23×C5911yescharacteristic
1051C2×C22⋊C4C23×C5911yescharacteristic
1052C2×C22⋊C4C23×C5911yescharacteristic
1053C2×C22⋊C4C23×C5911yescharacteristic
1054C2×C22⋊C4C23×C5911yescharacteristic
1055C2×C22⋊C4C23×C5911yescharacteristic
1056C2×C22⋊C4C23×C5911yescharacteristic
1057C2×C22⋊C4C23×C5911yescharacteristic
1058C2×C22⋊C4C23×C5911yescharacteristic
1059C2×C22⋊C4C23×C5911yescharacteristic
1060C2×C22⋊C4C23×C5911yescharacteristic
1061C2×C22⋊C4C23×C5911yescharacteristic
1062C2×C22⋊C4C23×C5911yescharacteristic
1063C2×C22⋊C4C23×C5911yescharacteristic
1064C2×C22⋊C4C23×C5911yescharacteristic
1065C2×C22⋊C4C23×C5911yescharacteristic
1066C2×C22⋊C4C23×C5911yescharacteristic
1067C2×C22⋊C4C23×C5911yescharacteristic
1068C2×C22⋊C4C23×C5911yescharacteristic
1069C2×C22⋊C4C23×C5911yescharacteristic
1070C2×C22⋊C4C23×C5911yescharacteristic
1071C2×C22⋊C4C23×C5911yescharacteristic
1072C2×C22⋊C4C23×C5911yescharacteristic
1073C2×C22⋊C4C23×C5911yescharacteristic
1074C2×C22⋊C4C23×C5911yescharacteristic
1075C2×C22⋊C4C23×C5911yescharacteristic
1076C2×C22⋊C4C23×C5911yescharacteristic
1077C2×C22⋊C4C23×C5911yescharacteristic
1078C2×C22⋊C4C23×C5911yescharacteristic
1079C2×C22⋊C4C23×C5911yescharacteristic
1080C2×C22⋊C4C23×C5911yescharacteristic
1081C2×C22⋊C4C23×C5911yescharacteristic
1082C2×C22⋊C4C23×C5911yescharacteristic
1083C2×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×C42—42no—
1104C2×C42C23×C5911yescharacteristic
1105C2×C42C23×C5911yescharacteristic
1106C2×C42C23×C5911yescharacteristic
1107C2×C42C23×C5911yescharacteristic
1108C2×C42C23×C5911yescharacteristic
1109C2×C42C23×C5911yescharacteristic
1110C2×C42C23×C5911yescharacteristic
1111C2×C42C23×C5911yescharacteristic
1112C2×C42C23×C5911yescharacteristic
1113C2×C42C23×C5911yescharacteristic
1114C2×C42C23×C5911yescharacteristic
1115#95C23×C5911yescharacteristic
1116#95C23×C5911yescharacteristic
1117#95C23×C5911yescharacteristic
1118#95C23×C5911yescharacteristic
1119#95C23×C5911yescharacteristic
1120#95C23×C5911yescharacteristic
1121#95C23×C5911yescharacteristic
1122#95C23×C5911yescharacteristic
1123#95C23×C5911yescharacteristic
1124#95C23×C5911yescharacteristic
1125#95C23×C5911yescharacteristic
1126#95C23×C5911yescharacteristic
1127#95C23×C5911yescharacteristic
1128#95C23×C5911yescharacteristic
1129#95C23×C5911yescharacteristic
1130#95C23×C5911yescharacteristic
1131#95C23×C5911yescharacteristic
1132#95C23×C5911yescharacteristic
1133#95C23×C5911yescharacteristic
1134#95C23×C5911yescharacteristic
1135#95C23×C5911yescharacteristic
1136#95C23×C5911yescharacteristic
1137#95C23×C5911yescharacteristic
1138#95C23×C5911yescharacteristic
1139#95C23×C5911yescharacteristic
1140#95C23×C5911yescharacteristic
1141#95C23×C5911yescharacteristic
1142#95C23×C5911yescharacteristic
1143#95C23×C5911yescharacteristic
1144#95C23×C5911yescharacteristic
1145#95C23×C5911yescharacteristic
1146#95C23×C5911yescharacteristic
1147#95C23×C5911yescharacteristic
1148#95C23×C5911yescharacteristic
1149#95C23×C5911yescharacteristic
1150#95C23×C5911yescharacteristic
1151#95C23×C5911yescharacteristic
1152#95C23×C5911yescharacteristic
1153#95C23×C5911yescharacteristic
1154#95C23×C5911yescharacteristic
1155C24—22no—
1156C24—41no—
1157C24—41no—
1158C24—41no—
1159C24—41no—
1160C24—41no—
1161C24—41no—
1162C24C24×C5911yescharacteristic
1163C24C24×C5911yescharacteristic
1164C24C24×C5911yescharacteristic
1165C24C24×C5911yescharacteristic
1166C24C24×C5911yescharacteristic
1167C24C24×C5911yescharacteristic
1168C2×Q8—22no—
1169C2×Q8—41no—
1170C2×Q8—41no—
1171C2×Q8—41no—
1172C2×Q8—41no—
1173C2×Q8—41no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
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#41×C5914yes—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4C24×C5911yescharacteristic
1232C22×C4C24×C5911yescharacteristic
1233C22×C4C24×C5911yescharacteristic
1234C22×C4C24×C5911yescharacteristic
1235C22×C4C24×C5911yescharacteristic
1236C22×C4C24×C5911yescharacteristic
1237C22×C4C24×C5911yescharacteristic
1238C22×C4C24×C5911yescharacteristic
1239C22×C4C24×C5911yescharacteristic
1240C22×C4C24×C5911yescharacteristic
1241C22×C4C24×C5911yescharacteristic
1242C22×C4C24×C5911yescharacteristic
1243C22×C4C24×C5911yescharacteristic
1244C22×C4C24×C5911yescharacteristic
1245C22×C4C24×C5911yescharacteristic
1246C22×C4C24×C5911yescharacteristic
1247C22×C4C24×C5911yescharacteristic
1248C22×C4C24×C5911yescharacteristic
1249C22×C4C24×C5911yescharacteristic
1250C22×C4C24×C5911yescharacteristic
1251C22×C4C24×C5911yescharacteristic
1252C22×C4C24×C5911yescharacteristic
1253C22×C4C24×C5911yescharacteristic
1254C22×C4C24×C5911yescharacteristic
1255C22×C4C24×C5911yescharacteristic
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C42—22no—
1339C42—22no—
1340C42—22no—
1341C42—22no—
1342C42—41no—
1343C42—41no—
1344C42—41no—
1345C42—41no—
1346C42—41no—
1347C42—41no—
1348C42—41no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
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—44no—
1390C23—82no—
1391C23—82no—
1392C23—82no—
1393C23—82no—
1394C23—82no—
1395C23—82no—
1396C23C2×#41×C5912yes—
1397C23C2×#41×C5912yes—
1398C23C25×C5911yescharacteristic
1399Q8—82no—
1400Q8—82no—
1401D4—44no—
1402D4—44no—
1403D4—44no—
1404D4—82no—
1405D4—82no—
1406D4—82no—
1407D4—82no—
1408D4—82no—
1409D4—82no—
1410D4—82no—
1411D4—82no—
1412D4—82no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—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—44no—
1485C2×C4—44no—
1486C2×C4—44no—
1487C2×C4—44no—
1488C2×C4—82no—
1489C2×C4—82no—
1490C2×C4—82no—
1491C2×C4C2×#41×C5912yes—
1492C2×C4H(5,𝔽2)×C5912yes—
1493C2×C4H(5,𝔽2)×C5912yes—
1494C2×C4H(5,𝔽2)×C5912yes—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
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—88no—
1538C22C22×#41×C5911yescharacteristic
1539C22C2×H(5,𝔽2)×C5911yescharacteristic
1540C22C2×H(5,𝔽2)×C5911yescharacteristic
1541C22C2×H(5,𝔽2)×C5911yescharacteristic
1542C22C59×#58511yescharacteristic
1543C22C59×#58511yescharacteristic
1544C22C59×#58511yescharacteristic
1545C4—22no—
1546C4—22no—
1547C4—22no—
1548C4—22no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C2—42no—
1571C2—42no—
1572C2—81no—
1573C2—81no—
1574C2—81no—
1575C2—81no—
1576C2C59×#345911yescharacteristic
1577C2C59×#351311yescharacteristic
1578C2C59×#351411yescharacteristic
1579C2C59×#354211yescharacteristic
1580C2C59×#354211yescharacteristic
1581C2C59×#354611yescharacteristic
1582C2C59×#356811yescharacteristic
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×#2853C2semidirect
2. C59×#2850C2semidirect
3. C59×#2808C2semidirect
4. C59×#2786C2semidirect
5. C59×#2773C2semidirect
6. C59×#2756C2semidirect
7. C59×#2737C2semidirect
8. C59×#2735C2semidirect
9. C59×#2730C2semidirect
10. C59×#2723C2semidirect
11. C59×#2715C2semidirect
12. C59×#2714C2semidirect
13. C59×#2705C2semidirect
14. C59×#2692C2semidirect
15. C59×#2688C2semidirect
16. C59×#2678C2semidirect
17. C59×#2670C2semidirect
18. C59×#2668C2semidirect
19. C59×#2631C2semidirect
20. C59×#2630C2semidirect
21. C59×#2525C2semidirect
22. C59×#2523C2semidirect
23. C59×#2521C2semidirect
24. C59×#2474C2semidirect
25. C59×#2472C2semidirect
26. C59×#2471C2semidirect
27. C59×#2467C2semidirect
28. C59×#2418C2semidirect
29. C59×#2324C2semidirect
30. C59×#2321C2semidirect
31. C4×#121×C59C2semidirect
32. C2×#126×C59C22semidirect
33. C2×#126×C59C22semidirect
40. C2×C22⋊Q8×C59C22semidirect
49. C2×C4×D4×C59C22semidirect
50. C2×#117×C59C22semidirect
52. C22×C42×C59C22semidirect
53. C59×#400C22semidirect
57. C59×#399C22semidirect
58. C59×#398C22semidirect
59. C59×#398C22semidirect
68. C59×#397C22semidirect
69. C59×#397C22semidirect
70. C59×#397C22semidirect
71. C59×#397C22semidirect
75. C59×#396C22semidirect
76. C59×#396C22semidirect
77. C59×#395C22semidirect
78. C59×#395C22semidirect
89. C59×#394C22semidirect
92. C59×#393C22semidirect
93. C59×#393C22semidirect
100. C59×#392C22semidirect
101. C59×#391C22semidirect
102. C59×#391C22semidirect
103. C59×#391C22semidirect
111. C59×#390C22semidirect
112. C59×#390C22semidirect
113. C59×#389C22semidirect
114. C59×#389C22semidirect
115. C59×#389C22semidirect
133. C59×#388C22semidirect
134. C59×#388C22semidirect
135. C59×#388C22semidirect
136. C59×#388C22semidirect
137. C59×#388C22semidirect
138. C59×#387C22semidirect
139. C59×#387C22semidirect
140. C59×#387C22semidirect
141. C59×#387C22semidirect
142. C59×#387C22semidirect
143. C59×#387C22semidirect
144. C59×#387C22semidirect
145. C59×#387C22semidirect
146. C59×#387C22semidirect
147. C59×#387C22semidirect
148. C59×#387C22semidirect
161. C59×#386C22semidirect
162. C59×#386C22semidirect
163. C59×#386C22semidirect
164. C59×#386C22semidirect
165. C59×#386C22semidirect
168. C59×#385C22semidirect
169. C59×#385C22semidirect
170. C59×#385C22semidirect
171. C59×#383C22semidirect
172. C59×#383C22semidirect
173. C59×#382C22semidirect
174. C59×#381C22semidirect
176. C59×#380C22semidirect
177. C59×#380C22semidirect
178. C59×#380C22semidirect
182. C4×C4⋊C4×C59C22semidirect
183. C4×C4⋊C4×C59C22semidirect
186. C4×C22⋊C4×C59C22semidirect
703. #36873C59direct (N × H)
779. #2853C2×C59semidirect
780. #2850C2×C59semidirect
781. #2808C2×C59semidirect
782. #2786C2×C59semidirect
783. #2773C2×C59semidirect
784. #2756C2×C59semidirect
785. #2737C2×C59semidirect
786. #2735C2×C59semidirect
787. #2730C2×C59semidirect
788. #2723C2×C59semidirect
789. #2715C2×C59semidirect
790. #2714C2×C59semidirect
791. #2705C2×C59semidirect
792. #2692C2×C59semidirect
793. #2688C2×C59semidirect
794. #2678C2×C59semidirect
795. #2670C2×C59semidirect
796. #2668C2×C59semidirect
797. #2631C2×C59semidirect
798. #2630C2×C59semidirect
799. #2525C2×C59semidirect
800. #2523C2×C59semidirect
801. #2521C2×C59semidirect
802. #2474C2×C59semidirect
803. #2472C2×C59semidirect
804. #2471C2×C59semidirect
805. #2467C2×C59semidirect
806. #2418C2×C59semidirect
807. #2324C2×C59semidirect
808. #2321C2×C59semidirect
809. C4×#121C2×C59semidirect
823. C2×#126C22×C59semidirect
824. C2×#126C22×C59semidirect
831. C2×C22⋊Q8C22×C59semidirect
840. C2×C4×D4C22×C59semidirect
841. C2×#117C22×C59semidirect
843. C22×C42C22×C59semidirect
844. #400C22×C59semidirect
848. #399C22×C59semidirect
849. #398C22×C59semidirect
850. #398C22×C59semidirect
859. #397C22×C59semidirect
860. #397C22×C59semidirect
861. #397C22×C59semidirect
862. #397C22×C59semidirect
866. #396C22×C59semidirect
867. #396C22×C59semidirect
868. #395C22×C59semidirect
869. #395C22×C59semidirect
880. #394C22×C59semidirect
883. #393C22×C59semidirect
884. #393C22×C59semidirect
891. #392C22×C59semidirect
892. #391C22×C59semidirect
893. #391C22×C59semidirect
894. #391C22×C59semidirect
902. #390C22×C59semidirect
903. #390C22×C59semidirect
904. #389C22×C59semidirect
905. #389C22×C59semidirect
906. #389C22×C59semidirect
924. #388C22×C59semidirect
925. #388C22×C59semidirect
926. #388C22×C59semidirect
927. #388C22×C59semidirect
928. #388C22×C59semidirect
929. #387C22×C59semidirect
930. #387C22×C59semidirect
931. #387C22×C59semidirect
932. #387C22×C59semidirect
933. #387C22×C59semidirect
934. #387C22×C59semidirect
935. #387C22×C59semidirect
936. #387C22×C59semidirect
937. #387C22×C59semidirect
938. #387C22×C59semidirect
939. #387C22×C59semidirect
952. #386C22×C59semidirect
953. #386C22×C59semidirect
954. #386C22×C59semidirect
955. #386C22×C59semidirect
956. #386C22×C59semidirect
959. #385C22×C59semidirect
960. #385C22×C59semidirect
961. #385C22×C59semidirect
962. #383C22×C59semidirect
963. #383C22×C59semidirect
964. #382C22×C59semidirect
965. #381C22×C59semidirect
967. #380C22×C59semidirect
968. #380C22×C59semidirect
969. #380C22×C59semidirect
973. C4×C4⋊C4C22×C59semidirect
974. C4×C4⋊C4C22×C59semidirect
977. C4×C22⋊C4C22×C59semidirect
978. C59#36873direct (N × H)

Maximal subgroups

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

subgroupindex
C59×#28532
C59×#28502
C59×#28082
C59×#27862
C59×#27732
C59×#27562
C59×#27372
C59×#27352
C59×#27302
C59×#27232
C59×#27152
C59×#27142
C59×#27052
C59×#26922
C59×#26882
C59×#26782
C59×#26702
C59×#26682
C59×#26312
C59×#26302
C59×#25252
C59×#25232
C59×#25212
C59×#24742
C59×#24722
C59×#24712
C59×#24672
C59×#24182
C59×#23242
C59×#23212
C4×#121×C592
#3687359