Finite Group Databasebeta

← C59×#36857 #28448966

Subgroups — C59×#36857 #28448966

Order 15104.

2098 conjugacy classes of subgroups.

The subgroup lattice has 1674 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×#2788C211yesmaximal, characteristic, complemented
4C59×#2757C211yesmaximal, characteristic, complemented
5C59×#2756C211yesmaximal, characteristic, complemented
6C59×#2749C211yesmaximal, characteristic, complemented
7C59×#2737C211yesmaximal, characteristic, complemented
8C59×#2712C211yesmaximal, characteristic, complemented
9C59×#2701C211yesmaximal, characteristic, complemented
10C59×#2688C211yesmaximal, characteristic, complemented
11C59×#2688C211yesmaximal, characteristic, complemented
12C59×#2687C211yesmaximal, characteristic, complemented
13C59×#2684C211yesmaximal, characteristic, complemented
14C59×#2678C211yesmaximal, characteristic, complemented
15C59×#2676C211yesmaximal, characteristic, complemented
16C59×#2673C211yesmaximal, characteristic, complemented
17C59×#2670C211yesmaximal, characteristic, complemented
18C59×#2669C211yesmaximal, characteristic, complemented
19C59×#2631C211yesmaximal, characteristic, complemented
20C59×#2630C211yesmaximal, characteristic, complemented
21C59×#2577C211yesmaximal, characteristic, complemented
22C59×#2572C211yesmaximal, characteristic, complemented
23C59×#2557C211yesmaximal, characteristic, complemented
24C59×#2555C211yesmaximal, characteristic, complemented
25C59×#2464C211yesmaximal, characteristic, complemented
26C59×#2457C211yesmaximal, characteristic, complemented
27C59×#2445C211yesmaximal, characteristic, complemented
28C59×#2427C211yesmaximal, characteristic, complemented
29C59×#2337C211yesmaximal, characteristic, complemented
30C59×#2333C211yesmaximal, characteristic, complemented
31C4×#120×C59C211yesmaximal, characteristic, complemented
32C24×C4×C59C2211yescharacteristic
33C2×#127×C59C2211yescharacteristic
34C2×#124×C59C2211yescharacteristic
35C2×#124×C59C2211yescharacteristic
36C2×#124×C59C2211yescharacteristic
37C2×#124×C59C2211yescharacteristic, complemented
38C2×#123×C59C2211yescharacteristic
39C2×#123×C59C2211yescharacteristic
40C2×#123×C59C2211yescharacteristic
41C2×#123×C59C2211yescharacteristic, complemented
42C2×C22⋊Q8×C59C2211yescharacteristic, complemented
43C2×#121×C59C2211yescharacteristic
44C2×#121×C59C2211yescharacteristic
45C2×#121×C59C2211yescharacteristic
46C2×#121×C59C2211yescharacteristic
47C2×#121×C59C2211yescharacteristic
48C2×#121×C59C2211yescharacteristic
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×#400C2211yescharacteristic, complemented
58C59×#400C2211yescharacteristic, complemented
59C59×#400C2211yescharacteristic, complemented
60C59×#398C2211yescharacteristic, complemented
61C59×#398C2211yescharacteristic, complemented
62C59×#398C2211yescharacteristic, complemented
63C59×#397C2211yescharacteristic
64C59×#397C2211yescharacteristic
65C59×#397C2211yescharacteristic
66C59×#397C2211yescharacteristic, complemented
67C59×#397C2211yescharacteristic, complemented
68C59×#397C2211yescharacteristic, complemented
69C59×#397C2211yescharacteristic, complemented
70C59×#397C2211yescharacteristic, complemented
71C59×#397C2211yescharacteristic, complemented
72C59×#396C2211yescharacteristic
73C59×#396C2211yescharacteristic, complemented
74C59×#396C2211yescharacteristic, complemented
75C59×#395C2211yescharacteristic, complemented
76C59×#394C2211yescharacteristic
77C59×#394C2211yescharacteristic
78C59×#394C2211yescharacteristic
79C59×#394C2211yescharacteristic
80C59×#394C2211yescharacteristic
81C59×#394C2211yescharacteristic
82C59×#394C2211yescharacteristic
83C59×#394C2211yescharacteristic
84C59×#394C2211yescharacteristic, complemented
85C59×#394C2211yescharacteristic, complemented
86C59×#394C2211yescharacteristic, complemented
87C59×#394C2211yescharacteristic, complemented
88C59×#394C2211yescharacteristic, complemented
89C59×#393C2211yescharacteristic
90C59×#393C2211yescharacteristic
91C59×#393C2211yescharacteristic
92C59×#393C2211yescharacteristic, complemented
93C59×#393C2211yescharacteristic, complemented
94C59×#392C2211yescharacteristic
95C59×#392C2211yescharacteristic
96C59×#392C2211yescharacteristic
97C59×#392C2211yescharacteristic
98C59×#392C2211yescharacteristic
99C59×#392C2211yescharacteristic
100C59×#392C2211yescharacteristic
101C59×#392C2211yescharacteristic
102C59×#392C2211yescharacteristic
103C59×#392C2211yescharacteristic, complemented
104C59×#392C2211yescharacteristic, complemented
105C59×#391C2211yescharacteristic, complemented
106C59×#391C2211yescharacteristic, complemented
107C59×#391C2211yescharacteristic, complemented
108C59×#390C2211yescharacteristic
109C59×#390C2211yescharacteristic
110C59×#390C2211yescharacteristic
111C59×#390C2211yescharacteristic
112C59×#390C2211yescharacteristic, complemented
113C59×#390C2211yescharacteristic, 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×#387C2211yescharacteristic, complemented
131C59×#387C2211yescharacteristic, complemented
132C59×#387C2211yescharacteristic, complemented
133C59×#387C2211yescharacteristic, complemented
134C59×#387C2211yescharacteristic, complemented
135C59×#386C2211yescharacteristic
136C59×#386C2211yescharacteristic
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×#386C2211yescharacteristic, complemented
158C59×#386C2211yescharacteristic, complemented
159C59×#385C2211yescharacteristic
160C59×#385C2211yescharacteristic
161C59×#385C2211yescharacteristic
162C59×#385C2211yescharacteristic
163C59×#385C2211yescharacteristic
164C59×#385C2211yescharacteristic
165C59×#385C2211yescharacteristic
166C59×#385C2211yescharacteristic, complemented
167C59×#383C2211yescharacteristic, complemented
168C59×#383C2211yescharacteristic, complemented
169C59×#383C2211yescharacteristic, complemented
170C59×#381C2211yescharacteristic
171C59×#381C2211yescharacteristic
172C59×#381C2211yescharacteristic, complemented
173C59×#381C2211yescharacteristic, complemented
174C59×#380C2211yescharacteristic
175C59×#380C2211yescharacteristic
176C59×#380C2211yescharacteristic
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×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
202C22×D4×C59C2311yescharacteristic
203C22×D4×C59C2311yescharacteristic
204C22×D4×C59C2311yescharacteristic
205C22×D4×C59C2311yescharacteristic
206C22×D4×C59C2311yescharacteristic
207C22×D4×C59C2311yescharacteristic
208C23×C4×C59—42no—
209C23×C4×C59—42no—
210C23×C4×C59—42no—
211C23×C4×C59C2311yescharacteristic
212C23×C4×C59C2311yescharacteristic
213C23×C4×C59C2311yescharacteristic
214C23×C4×C59C2311yescharacteristic
215C23×C4×C59C2311yescharacteristic
216C23×C4×C59C2311yescharacteristic
217C23×C4×C59C2311yescharacteristic
218C23×C4×C59C2311yescharacteristic
219C23×C4×C59C2311yescharacteristic
220C23×C4×C59C2311yescharacteristic
221#127×C59—42no—
222#124×C59—24no—
223#124×C59—42no—
224#124×C59—42no—
225#124×C59—42no—
226#123×C59—42no—
227#123×C59—42no—
228#123×C59—42no—
229#123×C59—42no—
230C22⋊Q8×C59—42no—
231#121×C59—24no—
232#121×C59—42no—
233#121×C59—42no—
234#121×C59—42no—
235#121×C59—42no—
236#121×C59—42no—
237#121×C59—42no—
238#120×C59—24no—
239#120×C59—42no—
240#120×C59—42no—
241#120×C59—42no—
242C4×D4×C59—42no—
243C4×D4×C59—42no—
244C4×D4×C59—42no—
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×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×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×C42×C59C2311yescharacteristic
322C2×C42×C59C2311yescharacteristic
323C2×C42×C59C2311yescharacteristic
324C2×C42×C59C2311yescharacteristic
325C2×C42×C59C2311yescharacteristic
326C2×C42×C59C2311yescharacteristic
327C2×C42×C59C2311yescharacteristic
328C2×C42×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
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×Q8×C59—22no—
384C2×Q8×C59—41no—
385C2×Q8×C59—41no—
386C2×Q8×C59—41no—
387C2×Q8×C59—41no—
388C2×Q8×C59—41no—
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—22no—
400C2×D4×C59—22no—
401C2×D4×C59—22no—
402C2×D4×C59—22no—
403C2×D4×C59—22no—
404C2×D4×C59—22no—
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—
437C2×D4×C59—41no—
438C2×D4×C59—41no—
439C2×D4×C59—41no—
440C2×D4×C59—41no—
441C2×D4×C59—41no—
442C2×D4×C59—41no—
443C22×C4×C59—22no—
444C22×C4×C59—22no—
445C22×C4×C59—22no—
446C22×C4×C59—22no—
447C22×C4×C59—22no—
448C22×C4×C59—22no—
449C22×C4×C59—22no—
450C22×C4×C59—22no—
451C22×C4×C59—22no—
452C22×C4×C59—22no—
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—41no—
468C22×C4×C59—41no—
469C22×C4×C59—41no—
470C22×C4×C59—41no—
471C22×C4×C59—41no—
472C22×C4×C59—41no—
473C22×C4×C59—416no—
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
492C22×C4×C59C2411yescharacteristic
493C22×C4×C59C2411yescharacteristic
494C22×C4×C59C2411yescharacteristic
495C22×C4×C59C2411yescharacteristic
496C22×C4×C59C2411yescharacteristic
497C22×C4×C59C2411yescharacteristic
498C4⋊C4×C59—22no—
499C4⋊C4×C59—22no—
500C4⋊C4×C59—22no—
501C4⋊C4×C59—22no—
502C4⋊C4×C59—22no—
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—22no—
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—22no—
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
639Q8×C59—82no—
640Q8×C59—82no—
641D4×C59—44no—
642D4×C59—44no—
643D4×C59—44no—
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—
657D4×C59—82no—
658D4×C59—82no—
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—21no—
726C2×C4×C59—21no—
727C2×C4×C59—44no—
728C2×C4×C59—44no—
729C2×C4×C59—44no—
730C2×C4×C59—44no—
731C2×C4×C59—44no—
732C2×C4×C59—44no—
733C2×C4×C59—82no—
734C2×C4×C59—82no—
735C2×C4×C59—82no—
736C2×C4×C59—82no—
737C2×C4×C59C2×#4112yes—
738C2×C4×C59C2×#4112yes—
739C2×C4×C59H(5,𝔽2)12yes—
740C2×C4×C59H(5,𝔽2)12yes—
741#36857C5911yesmaximal, characteristic, direct product factor, Sylow
742C22×C59—22no—
743C22×C59—22no—
744C22×C59—22no—
745C22×C59—22no—
746C22×C59—22no—
747C22×C59—22no—
748C22×C59—22no—
749C22×C59—22no—
750C22×C59—22no—
751C22×C59—416no—
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×C59—41no—
791C22×C59—41no—
792C22×C59C22×#4111yescharacteristic
793C22×C59C2×H(5,𝔽2)11yescharacteristic
794C22×C59C2×H(5,𝔽2)11yescharacteristic
795C22×C59C2×H(5,𝔽2)11yescharacteristic
796C22×C59C2×H(5,𝔽2)11yescharacteristic
797C22×C59#58511yescharacteristic
798C22×C59#58511yescharacteristic
799C4×C59—22no—
800C4×C59—22no—
801C4×C59—22no—
802C4×C59—22no—
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—
821C4×C59—41no—
822C4×C59—41no—
823#2849C2×C5911yescharacteristic, complemented
824#2847C2×C5911yescharacteristic, complemented
825#2788C2×C5911yescharacteristic, complemented
826#2757C2×C5911yescharacteristic, complemented
827#2756C2×C5911yescharacteristic, complemented
828#2749C2×C5911yescharacteristic, complemented
829#2737C2×C5911yescharacteristic, complemented
830#2712C2×C5911yescharacteristic, complemented
831#2701C2×C5911yescharacteristic, complemented
832#2688C2×C5911yescharacteristic, complemented
833#2688C2×C5911yescharacteristic, complemented
834#2687C2×C5911yescharacteristic, complemented
835#2684C2×C5911yescharacteristic, complemented
836#2678C2×C5911yescharacteristic, complemented
837#2676C2×C5911yescharacteristic, complemented
838#2673C2×C5911yescharacteristic, complemented
839#2670C2×C5911yescharacteristic, complemented
840#2669C2×C5911yescharacteristic, complemented
841#2631C2×C5911yescharacteristic, complemented
842#2630C2×C5911yescharacteristic, complemented
843#2577C2×C5911yescharacteristic, complemented
844#2572C2×C5911yescharacteristic, complemented
845#2557C2×C5911yescharacteristic, complemented
846#2555C2×C5911yescharacteristic, complemented
847#2464C2×C5911yescharacteristic, complemented
848#2457C2×C5911yescharacteristic, complemented
849#2445C2×C5911yescharacteristic, complemented
850#2427C2×C5911yescharacteristic, complemented
851#2337C2×C5911yescharacteristic, complemented
852#2333C2×C5911yescharacteristic, complemented
853C4×#120C2×C5911yescharacteristic, complemented
854C2×C59—42no—
855C2×C59—42no—
856C2×C59—42no—
857C2×C59—81no—
858C2×C59—81no—
859C2×C59—81no—
860C2×C59—81no—
861C2×C59#346011yescharacteristic
862C2×C59#351311yescharacteristic
863C2×C59#351911yescharacteristic
864C2×C59#353211yescharacteristic
865C2×C59#353411yescharacteristic
866C2×C59#354011yescharacteristic
867C2×C59#354211yescharacteristic
868C24×C4C22×C5911yescharacteristic
869C2×#127C22×C5911yescharacteristic
870C2×#124C22×C5911yescharacteristic
871C2×#124C22×C5911yescharacteristic
872C2×#124C22×C5911yescharacteristic
873C2×#124C22×C5911yescharacteristic, complemented
874C2×#123C22×C5911yescharacteristic
875C2×#123C22×C5911yescharacteristic
876C2×#123C22×C5911yescharacteristic
877C2×#123C22×C5911yescharacteristic, complemented
878C2×C22⋊Q8C22×C5911yescharacteristic, complemented
879C2×#121C22×C5911yescharacteristic
880C2×#121C22×C5911yescharacteristic
881C2×#121C22×C5911yescharacteristic
882C2×#121C22×C5911yescharacteristic
883C2×#121C22×C5911yescharacteristic
884C2×#121C22×C5911yescharacteristic
885C2×#121C22×C5911yescharacteristic, complemented
886C2×#120C22×C5911yescharacteristic
887C2×#120C22×C5911yescharacteristic
888C2×#120C22×C5911yescharacteristic
889C2×#120C22×C5911yescharacteristic
890C2×C4×D4C22×C5911yescharacteristic
891C2×C4×D4C22×C5911yescharacteristic
892C2×C4×D4C22×C5911yescharacteristic
893#400C22×C5911yescharacteristic, complemented
894#400C22×C5911yescharacteristic, complemented
895#400C22×C5911yescharacteristic, complemented
896#398C22×C5911yescharacteristic, complemented
897#398C22×C5911yescharacteristic, complemented
898#398C22×C5911yescharacteristic, complemented
899#397C22×C5911yescharacteristic
900#397C22×C5911yescharacteristic
901#397C22×C5911yescharacteristic
902#397C22×C5911yescharacteristic, complemented
903#397C22×C5911yescharacteristic, complemented
904#397C22×C5911yescharacteristic, complemented
905#397C22×C5911yescharacteristic, complemented
906#397C22×C5911yescharacteristic, complemented
907#397C22×C5911yescharacteristic, complemented
908#396C22×C5911yescharacteristic
909#396C22×C5911yescharacteristic, complemented
910#396C22×C5911yescharacteristic, complemented
911#395C22×C5911yescharacteristic, complemented
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, complemented
921#394C22×C5911yescharacteristic, complemented
922#394C22×C5911yescharacteristic, complemented
923#394C22×C5911yescharacteristic, complemented
924#394C22×C5911yescharacteristic, complemented
925#393C22×C5911yescharacteristic
926#393C22×C5911yescharacteristic
927#393C22×C5911yescharacteristic
928#393C22×C5911yescharacteristic, complemented
929#393C22×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
939#392C22×C5911yescharacteristic, complemented
940#392C22×C5911yescharacteristic, complemented
941#391C22×C5911yescharacteristic, complemented
942#391C22×C5911yescharacteristic, complemented
943#391C22×C5911yescharacteristic, complemented
944#390C22×C5911yescharacteristic
945#390C22×C5911yescharacteristic
946#390C22×C5911yescharacteristic
947#390C22×C5911yescharacteristic
948#390C22×C5911yescharacteristic, complemented
949#390C22×C5911yescharacteristic, complemented
950#389C22×C5911yescharacteristic, complemented
951#389C22×C5911yescharacteristic, complemented
952#388C22×C5911yescharacteristic
953#388C22×C5911yescharacteristic
954#388C22×C5911yescharacteristic
955#388C22×C5911yescharacteristic
956#388C22×C5911yescharacteristic
957#388C22×C5911yescharacteristic
958#388C22×C5911yescharacteristic
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#388C22×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
988#386C22×C5911yescharacteristic
989#386C22×C5911yescharacteristic, complemented
990#386C22×C5911yescharacteristic, complemented
991#386C22×C5911yescharacteristic, complemented
992#386C22×C5911yescharacteristic, complemented
993#386C22×C5911yescharacteristic, complemented
994#386C22×C5911yescharacteristic, complemented
995#385C22×C5911yescharacteristic
996#385C22×C5911yescharacteristic
997#385C22×C5911yescharacteristic
998#385C22×C5911yescharacteristic
999#385C22×C5911yescharacteristic
1000#385C22×C5911yescharacteristic
1001#385C22×C5911yescharacteristic
1002#385C22×C5911yescharacteristic, complemented
1003#383C22×C5911yescharacteristic, complemented
1004#383C22×C5911yescharacteristic, complemented
1005#383C22×C5911yescharacteristic, complemented
1006#381C22×C5911yescharacteristic
1007#381C22×C5911yescharacteristic
1008#381C22×C5911yescharacteristic, complemented
1009#381C22×C5911yescharacteristic, complemented
1010#380C22×C5911yescharacteristic
1011#380C22×C5911yescharacteristic
1012#380C22×C5911yescharacteristic
1013#380C22×C5911yescharacteristic, complemented
1014#379C22×C5911yescharacteristic
1015#379C22×C5911yescharacteristic
1016C4×C4⋊C4C22×C5911yescharacteristic, complemented
1017C4×C22⋊C4C22×C5911yescharacteristic
1018C4×C22⋊C4C22×C5911yescharacteristic
1019C4×C22⋊C4C22×C5911yescharacteristic
1020C4×C22⋊C4C22×C5911yescharacteristic, complemented
1021C4×C22⋊C4C22×C5911yescharacteristic, complemented
1022C4×C22⋊C4C22×C5911yescharacteristic, complemented
1023C59#3685711yescharacteristic, direct product factor, Sylow
1024C25C23×C5911yescharacteristic
1025C22×Q8C23×C5911yescharacteristic
1026C22×Q8C23×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
1041C22×D4C23×C5911yescharacteristic
1042C22×D4C23×C5911yescharacteristic
1043C22×D4C23×C5911yescharacteristic
1044C22×D4C23×C5911yescharacteristic
1045C23×C4—42no—
1046C23×C4—42no—
1047C23×C4—42no—
1048C23×C4C23×C5911yescharacteristic
1049C23×C4C23×C5911yescharacteristic
1050C23×C4C23×C5911yescharacteristic
1051C23×C4C23×C5911yescharacteristic
1052C23×C4C23×C5911yescharacteristic
1053C23×C4C23×C5911yescharacteristic
1054C23×C4C23×C5911yescharacteristic
1055C23×C4C23×C5911yescharacteristic
1056C23×C4C23×C5911yescharacteristic
1057C23×C4C23×C5911yescharacteristic
1058#127—42no—
1059#124—24no—
1060#124—42no—
1061#124—42no—
1062#124—42no—
1063#123—42no—
1064#123—42no—
1065#123—42no—
1066#123—42no—
1067C22⋊Q8—42no—
1068#121—24no—
1069#121—42no—
1070#121—42no—
1071#121—42no—
1072#121—42no—
1073#121—42no—
1074#121—42no—
1075#120—24no—
1076#120—42no—
1077#120—42no—
1078#120—42no—
1079C4×D4—42no—
1080C4×D4—42no—
1081C4×D4—42no—
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×C22⋊C4C23×C5911yescharacteristic
1103C2×C22⋊C4C23×C5911yescharacteristic
1104C2×C22⋊C4C23×C5911yescharacteristic
1105C2×C22⋊C4C23×C5911yescharacteristic
1106C2×C22⋊C4C23×C5911yescharacteristic
1107C2×C22⋊C4C23×C5911yescharacteristic
1108C2×C22⋊C4C23×C5911yescharacteristic
1109C2×C22⋊C4C23×C5911yescharacteristic
1110C2×C22⋊C4C23×C5911yescharacteristic
1111C2×C22⋊C4C23×C5911yescharacteristic
1112C2×C22⋊C4C23×C5911yescharacteristic
1113C2×C22⋊C4C23×C5911yescharacteristic
1114C2×C22⋊C4C23×C5911yescharacteristic
1115C2×C22⋊C4C23×C5911yescharacteristic
1116C2×C22⋊C4C23×C5911yescharacteristic
1117C2×C22⋊C4C23×C5911yescharacteristic
1118C2×C22⋊C4C23×C5911yescharacteristic
1119C2×C22⋊C4C23×C5911yescharacteristic
1120C2×C22⋊C4C23×C5911yescharacteristic
1121C2×C22⋊C4C23×C5911yescharacteristic
1122C2×C22⋊C4C23×C5911yescharacteristic
1123C2×C22⋊C4C23×C5911yescharacteristic
1124C2×C22⋊C4C23×C5911yescharacteristic
1125C2×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×C42C23×C5911yescharacteristic
1159C2×C42C23×C5911yescharacteristic
1160C2×C42C23×C5911yescharacteristic
1161C2×C42C23×C5911yescharacteristic
1162C2×C42C23×C5911yescharacteristic
1163C2×C42C23×C5911yescharacteristic
1164C2×C42C23×C5911yescharacteristic
1165C2×C42C23×C5911yescharacteristic
1166#95C23×C5911yescharacteristic
1167#95C23×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
1204#95C23×C5911yescharacteristic
1205#95C23×C5911yescharacteristic
1206C24—22no—
1207C24—22no—
1208C24—22no—
1209C24—41no—
1210C24—41no—
1211C24—41no—
1212C24—41no—
1213C24C24×C5911yescharacteristic
1214C24C24×C5911yescharacteristic
1215C24C24×C5911yescharacteristic
1216C24C24×C5911yescharacteristic
1217C24C24×C5911yescharacteristic
1218C24C24×C5911yescharacteristic
1219C24C24×C5911yescharacteristic
1220C2×Q8—22no—
1221C2×Q8—41no—
1222C2×Q8—41no—
1223C2×Q8—41no—
1224C2×Q8—41no—
1225C2×Q8—41no—
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—22no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
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—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—41no—
1278C2×D4—41no—
1279C2×D4—41no—
1280C22×C4—22no—
1281C22×C4—22no—
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—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—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—416no—
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
1327C22×C4C24×C5911yescharacteristic
1328C22×C4C24×C5911yescharacteristic
1329C22×C4C24×C5911yescharacteristic
1330C22×C4C24×C5911yescharacteristic
1331C22×C4C24×C5911yescharacteristic
1332C22×C4C24×C5911yescharacteristic
1333C22×C4C24×C5911yescharacteristic
1334C22×C4C24×C5911yescharacteristic
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
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—
1353C4⋊C4—41no—
1354C4⋊C4—41no—
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—22no—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
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—41no—
1409C22⋊C4—41no—
1410C22⋊C4#41×C5914yes—
1411C42—22no—
1412C42—22no—
1413C42—41no—
1414C42—41no—
1415C42—41no—
1416C42—41no—
1417C42—41no—
1418C42—41no—
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—21no—
1464C23—21no—
1465C23—44no—
1466C23—44no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23—44no—
1472C23C2×#41×C5912yes—
1473C23H(5,𝔽2)×C5912yes—
1474C23H(5,𝔽2)×C5912yes—
1475C23C25×C5911yescharacteristic
1476Q8—82no—
1477Q8—82no—
1478D4—44no—
1479D4—44no—
1480D4—44no—
1481D4—82no—
1482D4—82no—
1483D4—82no—
1484D4—82no—
1485D4—82no—
1486D4—82no—
1487D4—82no—
1488D4—82no—
1489D4—82no—
1490D4—82no—
1491D4—82no—
1492D4—82no—
1493D4—82no—
1494D4—82no—
1495D4—82no—
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—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—44no—
1570C2×C4—82no—
1571C2×C4—82no—
1572C2×C4—82no—
1573C2×C4—82no—
1574C2×C4C2×#41×C5912yes—
1575C2×C4C2×#41×C5912yes—
1576C2×C4H(5,𝔽2)×C5912yes—
1577C2×C4H(5,𝔽2)×C5912yes—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—416no—
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—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22C22×#41×C5911yescharacteristic
1629C22C2×H(5,𝔽2)×C5911yescharacteristic
1630C22C2×H(5,𝔽2)×C5911yescharacteristic
1631C22C2×H(5,𝔽2)×C5911yescharacteristic
1632C22C2×H(5,𝔽2)×C5911yescharacteristic
1633C22C59×#58511yescharacteristic
1634C22C59×#58511yescharacteristic
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—22no—
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—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C2—42no—
1660C2—42no—
1661C2—42no—
1662C2—81no—
1663C2—81no—
1664C2—81no—
1665C2—81no—
1666C2C59×#346011yescharacteristic
1667C2C59×#351311yescharacteristic
1668C2C59×#351911yescharacteristic
1669C2C59×#353211yescharacteristic
1670C2C59×#353411yescharacteristic
1671C2C59×#354011yescharacteristic
1672C2C59×#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×#2788C2semidirect
4. C59×#2757C2semidirect
5. C59×#2756C2semidirect
6. C59×#2749C2semidirect
7. C59×#2737C2semidirect
8. C59×#2712C2semidirect
9. C59×#2701C2semidirect
10. C59×#2688C2semidirect
11. C59×#2688C2semidirect
12. C59×#2687C2semidirect
13. C59×#2684C2semidirect
14. C59×#2678C2semidirect
15. C59×#2676C2semidirect
16. C59×#2673C2semidirect
17. C59×#2670C2semidirect
18. C59×#2669C2semidirect
19. C59×#2631C2semidirect
20. C59×#2630C2semidirect
21. C59×#2577C2semidirect
22. C59×#2572C2semidirect
23. C59×#2557C2semidirect
24. C59×#2555C2semidirect
25. C59×#2464C2semidirect
26. C59×#2457C2semidirect
27. C59×#2445C2semidirect
28. C59×#2427C2semidirect
29. C59×#2337C2semidirect
30. C59×#2333C2semidirect
31. C4×#120×C59C2semidirect
37. C2×#124×C59C22semidirect
41. C2×#123×C59C22semidirect
42. C2×C22⋊Q8×C59C22semidirect
49. C2×#121×C59C22semidirect
57. C59×#400C22semidirect
58. C59×#400C22semidirect
59. C59×#400C22semidirect
60. C59×#398C22semidirect
61. C59×#398C22semidirect
62. C59×#398C22semidirect
66. C59×#397C22semidirect
67. C59×#397C22semidirect
68. C59×#397C22semidirect
69. C59×#397C22semidirect
70. C59×#397C22semidirect
71. C59×#397C22semidirect
73. C59×#396C22semidirect
74. C59×#396C22semidirect
75. C59×#395C22semidirect
84. C59×#394C22semidirect
85. C59×#394C22semidirect
86. C59×#394C22semidirect
87. C59×#394C22semidirect
88. C59×#394C22semidirect
92. C59×#393C22semidirect
93. C59×#393C22semidirect
103. C59×#392C22semidirect
104. C59×#392C22semidirect
105. C59×#391C22semidirect
106. C59×#391C22semidirect
107. C59×#391C22semidirect
112. C59×#390C22semidirect
113. C59×#390C22semidirect
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×#387C22semidirect
131. C59×#387C22semidirect
132. C59×#387C22semidirect
133. C59×#387C22semidirect
134. C59×#387C22semidirect
153. C59×#386C22semidirect
154. C59×#386C22semidirect
155. C59×#386C22semidirect
156. C59×#386C22semidirect
157. C59×#386C22semidirect
158. C59×#386C22semidirect
166. C59×#385C22semidirect
167. C59×#383C22semidirect
168. C59×#383C22semidirect
169. C59×#383C22semidirect
172. C59×#381C22semidirect
173. C59×#381C22semidirect
177. C59×#380C22semidirect
180. C4×C4⋊C4×C59C22semidirect
184. C4×C22⋊C4×C59C22semidirect
185. C4×C22⋊C4×C59C22semidirect
186. C4×C22⋊C4×C59C22semidirect
741. #36857C59direct (N × H)
823. #2849C2×C59semidirect
824. #2847C2×C59semidirect
825. #2788C2×C59semidirect
826. #2757C2×C59semidirect
827. #2756C2×C59semidirect
828. #2749C2×C59semidirect
829. #2737C2×C59semidirect
830. #2712C2×C59semidirect
831. #2701C2×C59semidirect
832. #2688C2×C59semidirect
833. #2688C2×C59semidirect
834. #2687C2×C59semidirect
835. #2684C2×C59semidirect
836. #2678C2×C59semidirect
837. #2676C2×C59semidirect
838. #2673C2×C59semidirect
839. #2670C2×C59semidirect
840. #2669C2×C59semidirect
841. #2631C2×C59semidirect
842. #2630C2×C59semidirect
843. #2577C2×C59semidirect
844. #2572C2×C59semidirect
845. #2557C2×C59semidirect
846. #2555C2×C59semidirect
847. #2464C2×C59semidirect
848. #2457C2×C59semidirect
849. #2445C2×C59semidirect
850. #2427C2×C59semidirect
851. #2337C2×C59semidirect
852. #2333C2×C59semidirect
853. C4×#120C2×C59semidirect
873. C2×#124C22×C59semidirect
877. C2×#123C22×C59semidirect
878. C2×C22⋊Q8C22×C59semidirect
885. C2×#121C22×C59semidirect
893. #400C22×C59semidirect
894. #400C22×C59semidirect
895. #400C22×C59semidirect
896. #398C22×C59semidirect
897. #398C22×C59semidirect
898. #398C22×C59semidirect
902. #397C22×C59semidirect
903. #397C22×C59semidirect
904. #397C22×C59semidirect
905. #397C22×C59semidirect
906. #397C22×C59semidirect
907. #397C22×C59semidirect
909. #396C22×C59semidirect
910. #396C22×C59semidirect
911. #395C22×C59semidirect
920. #394C22×C59semidirect
921. #394C22×C59semidirect
922. #394C22×C59semidirect
923. #394C22×C59semidirect
924. #394C22×C59semidirect
928. #393C22×C59semidirect
929. #393C22×C59semidirect
939. #392C22×C59semidirect
940. #392C22×C59semidirect
941. #391C22×C59semidirect
942. #391C22×C59semidirect
943. #391C22×C59semidirect
948. #390C22×C59semidirect
949. #390C22×C59semidirect
950. #389C22×C59semidirect
951. #389C22×C59semidirect
959. #388C22×C59semidirect
960. #388C22×C59semidirect
961. #388C22×C59semidirect
962. #388C22×C59semidirect
963. #388C22×C59semidirect
964. #388C22×C59semidirect
965. #388C22×C59semidirect
966. #387C22×C59semidirect
967. #387C22×C59semidirect
968. #387C22×C59semidirect
969. #387C22×C59semidirect
970. #387C22×C59semidirect
989. #386C22×C59semidirect
990. #386C22×C59semidirect
991. #386C22×C59semidirect
992. #386C22×C59semidirect
993. #386C22×C59semidirect
994. #386C22×C59semidirect
1002. #385C22×C59semidirect
1003. #383C22×C59semidirect
1004. #383C22×C59semidirect
1005. #383C22×C59semidirect
1008. #381C22×C59semidirect
1009. #381C22×C59semidirect
1013. #380C22×C59semidirect
1016. C4×C4⋊C4C22×C59semidirect
1020. C4×C22⋊C4C22×C59semidirect
1021. C4×C22⋊C4C22×C59semidirect
1022. C4×C22⋊C4C22×C59semidirect
1023. C59#36857direct (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×#27882
C59×#27572
C59×#27562
C59×#27492
C59×#27372
C59×#27122
C59×#27012
C59×#26882
C59×#26872
C59×#26842
C59×#26782
C59×#26762
C59×#26732
C59×#26702
C59×#26692
C59×#26312
C59×#26302
C59×#25772
C59×#25722
C59×#25572
C59×#25552
C59×#24642
C59×#24572
C59×#24452
C59×#24272
C59×#23372
C59×#23332
C4×#120×C592
#3685759