Finite Group Databasebeta

← C59×#36901 #28449010

Subgroups — C59×#36901 #28449010

Order 15104.

2064 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C59×#2848C211yesmaximal, characteristic, complemented
2C59×#2847C211yesmaximal, characteristic, complemented
3C59×#2787C211yesmaximal, characteristic, complemented
4C59×#2784C211yesmaximal, characteristic, complemented
5C59×#2778C211yesmaximal, characteristic, complemented
6C59×#2747C211yesmaximal, characteristic, complemented
7C59×#2732C211yesmaximal, characteristic, complemented
8C59×#2708C211yesmaximal, characteristic, complemented
9C59×#2696C211yesmaximal, characteristic, complemented
10C59×#2695C211yesmaximal, characteristic, complemented
11C59×#2692C211yesmaximal, characteristic, complemented
12C59×#2685C211yesmaximal, characteristic, complemented
13C59×#2684C211yesmaximal, characteristic, complemented
14C59×#2681C211yesmaximal, characteristic, complemented
15C59×#2678C211yesmaximal, characteristic, complemented
16C59×#2676C211yesmaximal, characteristic, complemented
17C59×#2671C211yesmaximal, characteristic, complemented
18C59×#2668C211yesmaximal, characteristic, complemented
19C59×#2653C211yesmaximal, characteristic, complemented
20C59×#2649C211yesmaximal, characteristic, complemented
21C59×#2522C211yesmaximal, characteristic, complemented
22C59×#2521C211yesmaximal, characteristic, complemented
23C59×#2477C211yesmaximal, characteristic, complemented
24C59×#2476C211yesmaximal, characteristic, complemented
25C59×#2463C211yesmaximal, characteristic, complemented
26C59×#2456C211yesmaximal, characteristic, complemented
27C59×#2450C211yesmaximal, characteristic, complemented
28C59×#2425C211yesmaximal, characteristic, complemented
29C59×#2325C211yesmaximal, characteristic, complemented
30C59×#2324C211yesmaximal, characteristic, complemented
31C4×#120×C59C211yesmaximal, characteristic, complemented
32C24×C4×C59C2211yescharacteristic
33C2×#126×C59C2211yescharacteristic
34C2×#124×C59C2211yescharacteristic
35C2×#123×C59C2211yescharacteristic
36C2×#123×C59C2211yescharacteristic, complemented
37C2×#123×C59C2211yescharacteristic, complemented
38C2×C22⋊Q8×C59C2211yescharacteristic
39C2×C22⋊Q8×C59C2211yescharacteristic
40C2×C22⋊Q8×C59C2211yescharacteristic
41C2×C22⋊Q8×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×#120×C59C2211yescharacteristic
50C2×#120×C59C2211yescharacteristic
51C2×#120×C59C2211yescharacteristic
52C2×C4×D4×C59C2211yescharacteristic
53C2×C4×D4×C59C2211yescharacteristic
54C2×C4×D4×C59C2211yescharacteristic
55C2×C4×D4×C59C2211yescharacteristic, complemented
56C2×#117×C59C2211yescharacteristic, complemented
57C59×#401C2211yescharacteristic, complemented
58C59×#400C2211yescharacteristic, complemented
59C59×#400C2211yescharacteristic, complemented
60C59×#400C2211yescharacteristic, complemented
61C59×#400C2211yescharacteristic, complemented
62C59×#399C2211yescharacteristic
63C59×#399C2211yescharacteristic
64C59×#399C2211yescharacteristic, complemented
65C59×#398C2211yescharacteristic, complemented
66C59×#398C2211yescharacteristic, complemented
67C59×#398C2211yescharacteristic, complemented
68C59×#398C2211yescharacteristic, complemented
69C59×#398C2211yescharacteristic, complemented
70C59×#398C2211yescharacteristic, complemented
71C59×#397C2211yescharacteristic
72C59×#397C2211yescharacteristic
73C59×#397C2211yescharacteristic
74C59×#397C2211yescharacteristic
75C59×#397C2211yescharacteristic
76C59×#397C2211yescharacteristic, complemented
77C59×#397C2211yescharacteristic, complemented
78C59×#396C2211yescharacteristic
79C59×#396C2211yescharacteristic
80C59×#396C2211yescharacteristic, complemented
81C59×#396C2211yescharacteristic, complemented
82C59×#396C2211yescharacteristic, complemented
83C59×#395C2211yescharacteristic, complemented
84C59×#394C2211yescharacteristic
85C59×#394C2211yescharacteristic
86C59×#394C2211yescharacteristic
87C59×#394C2211yescharacteristic
88C59×#394C2211yescharacteristic
89C59×#394C2211yescharacteristic
90C59×#394C2211yescharacteristic
91C59×#394C2211yescharacteristic
92C59×#394C2211yescharacteristic
93C59×#394C2211yescharacteristic
94C59×#394C2211yescharacteristic, complemented
95C59×#394C2211yescharacteristic, complemented
96C59×#393C2211yescharacteristic
97C59×#393C2211yescharacteristic
98C59×#393C2211yescharacteristic, complemented
99C59×#393C2211yescharacteristic, complemented
100C59×#393C2211yescharacteristic, complemented
101C59×#392C2211yescharacteristic
102C59×#392C2211yescharacteristic
103C59×#392C2211yescharacteristic
104C59×#392C2211yescharacteristic, complemented
105C59×#391C2211yescharacteristic, complemented
106C59×#391C2211yescharacteristic, complemented
107C59×#390C2211yescharacteristic
108C59×#390C2211yescharacteristic
109C59×#390C2211yescharacteristic
110C59×#390C2211yescharacteristic
111C59×#390C2211yescharacteristic, complemented
112C59×#389C2211yescharacteristic, complemented
113C59×#389C2211yescharacteristic, complemented
114C59×#389C2211yescharacteristic, complemented
115C59×#388C2211yescharacteristic
116C59×#388C2211yescharacteristic
117C59×#388C2211yescharacteristic
118C59×#388C2211yescharacteristic
119C59×#388C2211yescharacteristic
120C59×#388C2211yescharacteristic
121C59×#388C2211yescharacteristic, complemented
122C59×#388C2211yescharacteristic, complemented
123C59×#388C2211yescharacteristic, complemented
124C59×#388C2211yescharacteristic, complemented
125C59×#388C2211yescharacteristic, complemented
126C59×#388C2211yescharacteristic, complemented
127C59×#388C2211yescharacteristic, complemented
128C59×#387C2211yescharacteristic, complemented
129C59×#387C2211yescharacteristic, complemented
130C59×#387C2211yescharacteristic, complemented
131C59×#387C2211yescharacteristic, complemented
132C59×#387C2211yescharacteristic, complemented
133C59×#387C2211yescharacteristic, complemented
134C59×#387C2211yescharacteristic, complemented
135C59×#387C2211yescharacteristic, complemented
136C59×#387C2211yescharacteristic, complemented
137C59×#386C2211yescharacteristic
138C59×#386C2211yescharacteristic
139C59×#386C2211yescharacteristic
140C59×#386C2211yescharacteristic
141C59×#386C2211yescharacteristic
142C59×#386C2211yescharacteristic
143C59×#386C2211yescharacteristic
144C59×#386C2211yescharacteristic
145C59×#386C2211yescharacteristic
146C59×#386C2211yescharacteristic
147C59×#386C2211yescharacteristic
148C59×#386C2211yescharacteristic
149C59×#386C2211yescharacteristic
150C59×#386C2211yescharacteristic
151C59×#386C2211yescharacteristic
152C59×#386C2211yescharacteristic
153C59×#386C2211yescharacteristic
154C59×#386C2211yescharacteristic, complemented
155C59×#386C2211yescharacteristic, complemented
156C59×#386C2211yescharacteristic, complemented
157C59×#385C2211yescharacteristic
158C59×#385C2211yescharacteristic
159C59×#385C2211yescharacteristic
160C59×#385C2211yescharacteristic
161C59×#385C2211yescharacteristic
162C59×#385C2211yescharacteristic
163C59×#385C2211yescharacteristic
164C59×#385C2211yescharacteristic
165C59×#385C2211yescharacteristic
166C59×#385C2211yescharacteristic, complemented
167C59×#385C2211yescharacteristic, complemented
168C59×#385C2211yescharacteristic, complemented
169C59×#385C2211yescharacteristic, complemented
170C59×#385C2211yescharacteristic, complemented
171C59×#380C2211yescharacteristic
172C59×#380C2211yescharacteristic
173C59×#380C2211yescharacteristic
174C59×#380C2211yescharacteristic
175C59×#380C2211yescharacteristic
176C59×#380C2211yescharacteristic
177C59×#380C2211yescharacteristic, complemented
178C59×#380C2211yescharacteristic, complemented
179C59×#379C2211yescharacteristic
180C59×#379C2211yescharacteristic
181C59×#379C2211yescharacteristic
182C4×C4⋊C4×C59C2211yescharacteristic, complemented
183C4×C22⋊C4×C59C2211yescharacteristic
184C4×C22⋊C4×C59C2211yescharacteristic
185C4×C22⋊C4×C59C2211yescharacteristic
186C2×#95×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×C59—42no—
203C23×C4×C59—42no—
204C23×C4×C59—42no—
205C23×C4×C59C2311yescharacteristic
206C23×C4×C59C2311yescharacteristic
207C23×C4×C59C2311yescharacteristic
208C23×C4×C59C2311yescharacteristic
209C23×C4×C59C2311yescharacteristic
210C23×C4×C59C2311yescharacteristic
211C23×C4×C59C2311yescharacteristic
212C23×C4×C59C2311yescharacteristic
213C23×C4×C59C2311yescharacteristic
214C23×C4×C59C2311yescharacteristic
215C23×C4×C59C2311yescharacteristic
216#126×C59—42no—
217#124×C59—42no—
218#123×C59—42no—
219#123×C59—42no—
220#123×C59—42no—
221C22⋊Q8×C59—42no—
222C22⋊Q8×C59—42no—
223C22⋊Q8×C59—42no—
224C22⋊Q8×C59—42no—
225C22⋊Q8×C59—42no—
226#121×C59—24no—
227#121×C59—24no—
228#121×C59—42no—
229#121×C59—42no—
230#121×C59—42no—
231#121×C59—42no—
232#120×C59—24no—
233#120×C59—42no—
234#120×C59—42no—
235C4×D4×C59—42no—
236C4×D4×C59—42no—
237C4×D4×C59—42no—
238C4×D4×C59—42no—
239#117×C59—42no—
240C2×C4⋊C4×C59C2311yescharacteristic
241C2×C4⋊C4×C59C2311yescharacteristic
242C2×C4⋊C4×C59C2311yescharacteristic
243C2×C4⋊C4×C59C2311yescharacteristic
244C2×C4⋊C4×C59C2311yescharacteristic
245C2×C4⋊C4×C59C2311yescharacteristic
246C2×C4⋊C4×C59C2311yescharacteristic
247C2×C4⋊C4×C59C2311yescharacteristic
248C2×C4⋊C4×C59C2311yescharacteristic
249C2×C4⋊C4×C59C2311yescharacteristic
250C2×C4⋊C4×C59C2311yescharacteristic
251C2×C4⋊C4×C59C2311yescharacteristic
252C2×C4⋊C4×C59C2311yescharacteristic
253C2×C4⋊C4×C59C2311yescharacteristic
254C2×C4⋊C4×C59C2311yescharacteristic
255C2×C4⋊C4×C59C2311yescharacteristic
256C2×C4⋊C4×C59C2311yescharacteristic
257C2×C4⋊C4×C59C2311yescharacteristic
258C2×C4⋊C4×C59C2311yescharacteristic
259C2×C4⋊C4×C59C2311yescharacteristic
260C2×C4⋊C4×C59C2311yescharacteristic
261C2×C4⋊C4×C59C2311yescharacteristic
262C2×C4⋊C4×C59C2311yescharacteristic
263C2×C4⋊C4×C59C2311yescharacteristic
264C2×C4⋊C4×C59C2311yescharacteristic
265C2×C4⋊C4×C59C2311yescharacteristic
266C2×C4⋊C4×C59C2311yescharacteristic
267C2×C4⋊C4×C59C2311yescharacteristic
268C2×C4⋊C4×C59C2311yescharacteristic
269C2×C4⋊C4×C59C2311yescharacteristic
270C2×C22⋊C4×C59C2311yescharacteristic
271C2×C22⋊C4×C59C2311yescharacteristic
272C2×C22⋊C4×C59C2311yescharacteristic
273C2×C22⋊C4×C59C2311yescharacteristic
274C2×C22⋊C4×C59C2311yescharacteristic
275C2×C22⋊C4×C59C2311yescharacteristic
276C2×C22⋊C4×C59C2311yescharacteristic
277C2×C22⋊C4×C59C2311yescharacteristic
278C2×C22⋊C4×C59C2311yescharacteristic
279C2×C22⋊C4×C59C2311yescharacteristic
280C2×C22⋊C4×C59C2311yescharacteristic
281C2×C22⋊C4×C59C2311yescharacteristic
282C2×C22⋊C4×C59C2311yescharacteristic
283C2×C22⋊C4×C59C2311yescharacteristic
284C2×C22⋊C4×C59C2311yescharacteristic
285C2×C22⋊C4×C59C2311yescharacteristic
286C2×C22⋊C4×C59C2311yescharacteristic
287C2×C22⋊C4×C59C2311yescharacteristic
288C2×C22⋊C4×C59C2311yescharacteristic
289C2×C22⋊C4×C59C2311yescharacteristic
290C2×C22⋊C4×C59C2311yescharacteristic
291C2×C22⋊C4×C59C2311yescharacteristic
292C2×C22⋊C4×C59C2311yescharacteristic
293C2×C22⋊C4×C59C2311yescharacteristic
294C2×C22⋊C4×C59C2311yescharacteristic
295C2×C22⋊C4×C59C2311yescharacteristic
296C2×C22⋊C4×C59C2311yescharacteristic
297C2×C22⋊C4×C59C2311yescharacteristic
298C2×C22⋊C4×C59C2311yescharacteristic
299C2×C22⋊C4×C59C2311yescharacteristic
300C2×C22⋊C4×C59C2311yescharacteristic
301C2×C22⋊C4×C59C2311yescharacteristic
302C2×C22⋊C4×C59C2311yescharacteristic
303C2×C22⋊C4×C59C2311yescharacteristic
304C2×C22⋊C4×C59C2311yescharacteristic
305C2×C22⋊C4×C59C2311yescharacteristic
306C2×C22⋊C4×C59C2311yescharacteristic
307C2×C22⋊C4×C59C2311yescharacteristic
308C2×C22⋊C4×C59C2311yescharacteristic
309C2×C22⋊C4×C59C2311yescharacteristic
310C2×C22⋊C4×C59C2311yescharacteristic
311C2×C22⋊C4×C59C2311yescharacteristic
312C2×C22⋊C4×C59C2311yescharacteristic
313C2×C22⋊C4×C59C2311yescharacteristic
314C2×C22⋊C4×C59C2311yescharacteristic
315C2×C22⋊C4×C59C2311yescharacteristic
316C2×C22⋊C4×C59C2311yescharacteristic
317C2×C22⋊C4×C59C2311yescharacteristic
318C2×C22⋊C4×C59C2311yescharacteristic
319C2×C22⋊C4×C59C2311yescharacteristic
320C2×C22⋊C4×C59C2311yescharacteristic
321C2×C22⋊C4×C59C2311yescharacteristic
322C2×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
382C2×Q8×C59—22no—
383C2×Q8×C59—41no—
384C2×Q8×C59—41no—
385C2×Q8×C59—41no—
386C2×Q8×C59—41no—
387C2×Q8×C59—41no—
388C2×D4×C59—22no—
389C2×D4×C59—22no—
390C2×D4×C59—22no—
391C2×D4×C59—22no—
392C2×D4×C59—22no—
393C2×D4×C59—22no—
394C2×D4×C59—22no—
395C2×D4×C59—22no—
396C2×D4×C59—22no—
397C2×D4×C59—22no—
398C2×D4×C59—22no—
399C2×D4×C59—22no—
400C2×D4×C59—22no—
401C2×D4×C59—41no—
402C2×D4×C59—41no—
403C2×D4×C59—41no—
404C2×D4×C59—41no—
405C2×D4×C59—41no—
406C2×D4×C59—41no—
407C2×D4×C59—41no—
408C2×D4×C59—41no—
409C2×D4×C59—41no—
410C2×D4×C59—41no—
411C2×D4×C59—41no—
412C2×D4×C59—41no—
413C2×D4×C59—41no—
414C2×D4×C59—41no—
415C2×D4×C59—41no—
416C2×D4×C59—41no—
417C2×D4×C59—41no—
418C2×D4×C59—41no—
419C2×D4×C59—41no—
420C2×D4×C59—41no—
421C2×D4×C59—41no—
422C2×D4×C59—41no—
423C2×D4×C59#4114yes—
424C22×C4×C59—22no—
425C22×C4×C59—22no—
426C22×C4×C59—22no—
427C22×C4×C59—22no—
428C22×C4×C59—22no—
429C22×C4×C59—22no—
430C22×C4×C59—22no—
431C22×C4×C59—22no—
432C22×C4×C59—22no—
433C22×C4×C59—22no—
434C22×C4×C59—22no—
435C22×C4×C59—22no—
436C22×C4×C59—41no—
437C22×C4×C59—41no—
438C22×C4×C59—41no—
439C22×C4×C59—41no—
440C22×C4×C59—41no—
441C22×C4×C59—41no—
442C22×C4×C59—41no—
443C22×C4×C59—41no—
444C22×C4×C59—41no—
445C22×C4×C59—41no—
446C22×C4×C59—41no—
447C22×C4×C59—41no—
448C22×C4×C59—41no—
449C22×C4×C59—41no—
450C22×C4×C59—41no—
451C22×C4×C59—41no—
452C22×C4×C59—41no—
453C22×C4×C59—41no—
454C22×C4×C59—41no—
455C22×C4×C59—41no—
456C22×C4×C59—41no—
457C22×C4×C59—416no—
458C22×C4×C59C2411yescharacteristic
459C22×C4×C59C2411yescharacteristic
460C22×C4×C59C2411yescharacteristic
461C22×C4×C59C2411yescharacteristic
462C22×C4×C59C2411yescharacteristic
463C22×C4×C59C2411yescharacteristic
464C22×C4×C59C2411yescharacteristic
465C22×C4×C59C2411yescharacteristic
466C22×C4×C59C2411yescharacteristic
467C22×C4×C59C2411yescharacteristic
468C22×C4×C59C2411yescharacteristic
469C22×C4×C59C2411yescharacteristic
470C22×C4×C59C2411yescharacteristic
471C22×C4×C59C2411yescharacteristic
472C22×C4×C59C2411yescharacteristic
473C22×C4×C59C2411yescharacteristic
474C22×C4×C59C2411yescharacteristic
475C22×C4×C59C2411yescharacteristic
476C22×C4×C59C2411yescharacteristic
477C22×C4×C59C2411yescharacteristic
478C22×C4×C59C2411yescharacteristic
479C22×C4×C59C2411yescharacteristic
480C22×C4×C59C2411yescharacteristic
481C22×C4×C59C2411yescharacteristic
482C22×C4×C59C2411yescharacteristic
483C4⋊C4×C59—22no—
484C4⋊C4×C59—22no—
485C4⋊C4×C59—22no—
486C4⋊C4×C59—22no—
487C4⋊C4×C59—22no—
488C4⋊C4×C59—22no—
489C4⋊C4×C59—22no—
490C4⋊C4×C59—22no—
491C4⋊C4×C59—22no—
492C4⋊C4×C59—22no—
493C4⋊C4×C59—41no—
494C4⋊C4×C59—41no—
495C4⋊C4×C59—41no—
496C4⋊C4×C59—41no—
497C4⋊C4×C59—41no—
498C4⋊C4×C59—41no—
499C4⋊C4×C59—41no—
500C4⋊C4×C59—41no—
501C4⋊C4×C59—41no—
502C4⋊C4×C59—41no—
503C4⋊C4×C59—41no—
504C4⋊C4×C59—41no—
505C4⋊C4×C59—41no—
506C4⋊C4×C59—41no—
507C4⋊C4×C59—41no—
508C4⋊C4×C59—41no—
509C4⋊C4×C59—41no—
510C4⋊C4×C59—41no—
511C4⋊C4×C59—41no—
512C4⋊C4×C59—41no—
513C22⋊C4×C59—22no—
514C22⋊C4×C59—22no—
515C22⋊C4×C59—22no—
516C22⋊C4×C59—22no—
517C22⋊C4×C59—22no—
518C22⋊C4×C59—22no—
519C22⋊C4×C59—22no—
520C22⋊C4×C59—22no—
521C22⋊C4×C59—22no—
522C22⋊C4×C59—22no—
523C22⋊C4×C59—22no—
524C22⋊C4×C59—22no—
525C22⋊C4×C59—22no—
526C22⋊C4×C59—22no—
527C22⋊C4×C59—22no—
528C22⋊C4×C59—22no—
529C22⋊C4×C59—22no—
530C22⋊C4×C59—22no—
531C22⋊C4×C59—22no—
532C22⋊C4×C59—41no—
533C22⋊C4×C59—41no—
534C22⋊C4×C59—41no—
535C22⋊C4×C59—41no—
536C22⋊C4×C59—41no—
537C22⋊C4×C59—41no—
538C22⋊C4×C59—41no—
539C22⋊C4×C59—41no—
540C22⋊C4×C59—41no—
541C22⋊C4×C59—41no—
542C22⋊C4×C59—41no—
543C22⋊C4×C59—41no—
544C22⋊C4×C59—41no—
545C22⋊C4×C59—41no—
546C22⋊C4×C59—41no—
547C22⋊C4×C59—41no—
548C22⋊C4×C59—41no—
549C22⋊C4×C59—41no—
550C22⋊C4×C59—41no—
551C22⋊C4×C59—41no—
552C22⋊C4×C59—41no—
553C22⋊C4×C59—41no—
554C22⋊C4×C59—41no—
555C22⋊C4×C59—41no—
556C22⋊C4×C59—41no—
557C22⋊C4×C59—41no—
558C22⋊C4×C59—41no—
559C22⋊C4×C59—41no—
560C22⋊C4×C59—41no—
561C22⋊C4×C59—41no—
562C22⋊C4×C59—41no—
563C22⋊C4×C59—41no—
564C22⋊C4×C59—41no—
565C42×C59—22no—
566C42×C59—41no—
567C42×C59—41no—
568C42×C59—41no—
569C42×C59—41no—
570C42×C59—41no—
571C42×C59—41no—
572C23×C59—21no—
573C23×C59—21no—
574C23×C59—21no—
575C23×C59—21no—
576C23×C59—21no—
577C23×C59—21no—
578C23×C59—21no—
579C23×C59—21no—
580C23×C59—21no—
581C23×C59—21no—
582C23×C59—21no—
583C23×C59—21no—
584C23×C59—21no—
585C23×C59—21no—
586C23×C59—21no—
587C23×C59—21no—
588C23×C59—21no—
589C23×C59—21no—
590C23×C59—21no—
591C23×C59—21no—
592C23×C59—21no—
593C23×C59—21no—
594C23×C59—21no—
595C23×C59—21no—
596C23×C59—21no—
597C23×C59—21no—
598C23×C59—21no—
599C23×C59—21no—
600C23×C59—21no—
601C23×C59—21no—
602C23×C59—21no—
603C23×C59—21no—
604C23×C59—21no—
605C23×C59—21no—
606C23×C59—21no—
607C23×C59—21no—
608C23×C59—21no—
609C23×C59—21no—
610C23×C59—44no—
611C23×C59—44no—
612C23×C59—44no—
613C23×C59—44no—
614C23×C59—44no—
615C23×C59—44no—
616C23×C59—44no—
617C23×C59C2×#4112yes—
618C23×C59C2×#4112yes—
619C23×C59H(5,𝔽2)12yes—
620C23×C592−1+412yes—
621C23×C59C2511yescharacteristic
622Q8×C59—82no—
623Q8×C59—82no—
624D4×C59—44no—
625D4×C59—44no—
626D4×C59—44no—
627D4×C59—44no—
628D4×C59—82no—
629D4×C59—82no—
630D4×C59—82no—
631D4×C59—82no—
632D4×C59—82no—
633D4×C59—82no—
634D4×C59—82no—
635D4×C59—82no—
636C2×C4×C59—21no—
637C2×C4×C59—21no—
638C2×C4×C59—21no—
639C2×C4×C59—21no—
640C2×C4×C59—21no—
641C2×C4×C59—21no—
642C2×C4×C59—21no—
643C2×C4×C59—21no—
644C2×C4×C59—21no—
645C2×C4×C59—21no—
646C2×C4×C59—21no—
647C2×C4×C59—21no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—21no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59—21no—
665C2×C4×C59—21no—
666C2×C4×C59—21no—
667C2×C4×C59—21no—
668C2×C4×C59—21no—
669C2×C4×C59—21no—
670C2×C4×C59—21no—
671C2×C4×C59—21no—
672C2×C4×C59—21no—
673C2×C4×C59—21no—
674C2×C4×C59—21no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—21no—
679C2×C4×C59—21no—
680C2×C4×C59—21no—
681C2×C4×C59—21no—
682C2×C4×C59—21no—
683C2×C4×C59—21no—
684C2×C4×C59—21no—
685C2×C4×C59—21no—
686C2×C4×C59—21no—
687C2×C4×C59—21no—
688C2×C4×C59—21no—
689C2×C4×C59—21no—
690C2×C4×C59—21no—
691C2×C4×C59—21no—
692C2×C4×C59—21no—
693C2×C4×C59—21no—
694C2×C4×C59—21no—
695C2×C4×C59—21no—
696C2×C4×C59—21no—
697C2×C4×C59—21no—
698C2×C4×C59—21no—
699C2×C4×C59—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—44no—
708C2×C4×C59—44no—
709C2×C4×C59—44no—
710C2×C4×C59—44no—
711C2×C4×C59—44no—
712C2×C4×C59—44no—
713C2×C4×C59—44no—
714C2×C4×C59—82no—
715C2×C4×C59—82no—
716C2×C4×C59—82no—
717C2×C4×C59—82no—
718C2×C4×C59C2×#4112yes—
719C2×C4×C59H(5,𝔽2)12yes—
720C2×C4×C59H(5,𝔽2)12yes—
721C2×C4×C59H(5,𝔽2)12yes—
722#36901C5911yesmaximal, characteristic, direct product factor, Sylow
723C22×C59—22no—
724C22×C59—22no—
725C22×C59—22no—
726C22×C59—22no—
727C22×C59—22no—
728C22×C59—22no—
729C22×C59—22no—
730C22×C59—22no—
731C22×C59—22no—
732C22×C59—22no—
733C22×C59—22no—
734C22×C59—22no—
735C22×C59—416no—
736C22×C59—41no—
737C22×C59—41no—
738C22×C59—41no—
739C22×C59—41no—
740C22×C59—41no—
741C22×C59—41no—
742C22×C59—41no—
743C22×C59—41no—
744C22×C59—41no—
745C22×C59—41no—
746C22×C59—41no—
747C22×C59—41no—
748C22×C59—41no—
749C22×C59—41no—
750C22×C59—41no—
751C22×C59—41no—
752C22×C59—41no—
753C22×C59—41no—
754C22×C59—41no—
755C22×C59—41no—
756C22×C59—41no—
757C22×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×C59C22×#4111yescharacteristic
767C22×C59C2×H(5,𝔽2)11yescharacteristic
768C22×C59C2×H(5,𝔽2)11yescharacteristic
769C22×C59C2×H(5,𝔽2)11yescharacteristic
770C22×C59C2×H(5,𝔽2)11yescharacteristic
771C22×C59C2×2−1+411yescharacteristic
772C22×C59#58511yescharacteristic
773C4×C59—22no—
774C4×C59—22no—
775C4×C59—22no—
776C4×C59—22no—
777C4×C59—41no—
778C4×C59—41no—
779C4×C59—41no—
780C4×C59—41no—
781C4×C59—41no—
782C4×C59—41no—
783C4×C59—41no—
784C4×C59—41no—
785C4×C59—41no—
786C4×C59—41no—
787C4×C59—41no—
788C4×C59—41no—
789C4×C59—41no—
790C4×C59—41no—
791C4×C59—41no—
792C4×C59—41no—
793C4×C59—41no—
794C4×C59—41no—
795C4×C59—41no—
796C4×C59—41no—
797C4×C59—41no—
798#2848C2×C5911yescharacteristic, complemented
799#2847C2×C5911yescharacteristic, complemented
800#2787C2×C5911yescharacteristic, complemented
801#2784C2×C5911yescharacteristic, complemented
802#2778C2×C5911yescharacteristic, complemented
803#2747C2×C5911yescharacteristic, complemented
804#2732C2×C5911yescharacteristic, complemented
805#2708C2×C5911yescharacteristic, complemented
806#2696C2×C5911yescharacteristic, complemented
807#2695C2×C5911yescharacteristic, complemented
808#2692C2×C5911yescharacteristic, complemented
809#2685C2×C5911yescharacteristic, complemented
810#2684C2×C5911yescharacteristic, complemented
811#2681C2×C5911yescharacteristic, complemented
812#2678C2×C5911yescharacteristic, complemented
813#2676C2×C5911yescharacteristic, complemented
814#2671C2×C5911yescharacteristic, complemented
815#2668C2×C5911yescharacteristic, complemented
816#2653C2×C5911yescharacteristic, complemented
817#2649C2×C5911yescharacteristic, complemented
818#2522C2×C5911yescharacteristic, complemented
819#2521C2×C5911yescharacteristic, complemented
820#2477C2×C5911yescharacteristic, complemented
821#2476C2×C5911yescharacteristic, complemented
822#2463C2×C5911yescharacteristic, complemented
823#2456C2×C5911yescharacteristic, complemented
824#2450C2×C5911yescharacteristic, complemented
825#2425C2×C5911yescharacteristic, complemented
826#2325C2×C5911yescharacteristic, complemented
827#2324C2×C5911yescharacteristic, complemented
828C4×#120C2×C5911yescharacteristic, complemented
829C2×C59—42no—
830C2×C59—42no—
831C2×C59—42no—
832C2×C59—42no—
833C2×C59—81no—
834C2×C59—81no—
835C2×C59#345911yescharacteristic
836C2×C59#351911yescharacteristic
837C2×C59#352011yescharacteristic
838C2×C59#353211yescharacteristic
839C2×C59#353611yescharacteristic
840C2×C59#354111yescharacteristic
841C2×C59#354211yescharacteristic
842C24×C4C22×C5911yescharacteristic
843C2×#126C22×C5911yescharacteristic
844C2×#124C22×C5911yescharacteristic
845C2×#123C22×C5911yescharacteristic
846C2×#123C22×C5911yescharacteristic, complemented
847C2×#123C22×C5911yescharacteristic, complemented
848C2×C22⋊Q8C22×C5911yescharacteristic
849C2×C22⋊Q8C22×C5911yescharacteristic
850C2×C22⋊Q8C22×C5911yescharacteristic
851C2×C22⋊Q8C22×C5911yescharacteristic, complemented
852C2×C22⋊Q8C22×C5911yescharacteristic, complemented
853C2×#121C22×C5911yescharacteristic
854C2×#121C22×C5911yescharacteristic
855C2×#121C22×C5911yescharacteristic
856C2×#121C22×C5911yescharacteristic
857C2×#121C22×C5911yescharacteristic
858C2×#121C22×C5911yescharacteristic
859C2×#120C22×C5911yescharacteristic
860C2×#120C22×C5911yescharacteristic
861C2×#120C22×C5911yescharacteristic
862C2×C4×D4C22×C5911yescharacteristic
863C2×C4×D4C22×C5911yescharacteristic
864C2×C4×D4C22×C5911yescharacteristic
865C2×C4×D4C22×C5911yescharacteristic, complemented
866C2×#117C22×C5911yescharacteristic, complemented
867#401C22×C5911yescharacteristic, complemented
868#400C22×C5911yescharacteristic, complemented
869#400C22×C5911yescharacteristic, complemented
870#400C22×C5911yescharacteristic, complemented
871#400C22×C5911yescharacteristic, complemented
872#399C22×C5911yescharacteristic
873#399C22×C5911yescharacteristic
874#399C22×C5911yescharacteristic, complemented
875#398C22×C5911yescharacteristic, complemented
876#398C22×C5911yescharacteristic, complemented
877#398C22×C5911yescharacteristic, complemented
878#398C22×C5911yescharacteristic, complemented
879#398C22×C5911yescharacteristic, complemented
880#398C22×C5911yescharacteristic, complemented
881#397C22×C5911yescharacteristic
882#397C22×C5911yescharacteristic
883#397C22×C5911yescharacteristic
884#397C22×C5911yescharacteristic
885#397C22×C5911yescharacteristic
886#397C22×C5911yescharacteristic, complemented
887#397C22×C5911yescharacteristic, complemented
888#396C22×C5911yescharacteristic
889#396C22×C5911yescharacteristic
890#396C22×C5911yescharacteristic, complemented
891#396C22×C5911yescharacteristic, complemented
892#396C22×C5911yescharacteristic, complemented
893#395C22×C5911yescharacteristic, complemented
894#394C22×C5911yescharacteristic
895#394C22×C5911yescharacteristic
896#394C22×C5911yescharacteristic
897#394C22×C5911yescharacteristic
898#394C22×C5911yescharacteristic
899#394C22×C5911yescharacteristic
900#394C22×C5911yescharacteristic
901#394C22×C5911yescharacteristic
902#394C22×C5911yescharacteristic
903#394C22×C5911yescharacteristic
904#394C22×C5911yescharacteristic, complemented
905#394C22×C5911yescharacteristic, complemented
906#393C22×C5911yescharacteristic
907#393C22×C5911yescharacteristic
908#393C22×C5911yescharacteristic, complemented
909#393C22×C5911yescharacteristic, complemented
910#393C22×C5911yescharacteristic, complemented
911#392C22×C5911yescharacteristic
912#392C22×C5911yescharacteristic
913#392C22×C5911yescharacteristic
914#392C22×C5911yescharacteristic, complemented
915#391C22×C5911yescharacteristic, complemented
916#391C22×C5911yescharacteristic, complemented
917#390C22×C5911yescharacteristic
918#390C22×C5911yescharacteristic
919#390C22×C5911yescharacteristic
920#390C22×C5911yescharacteristic
921#390C22×C5911yescharacteristic, complemented
922#389C22×C5911yescharacteristic, complemented
923#389C22×C5911yescharacteristic, complemented
924#389C22×C5911yescharacteristic, complemented
925#388C22×C5911yescharacteristic
926#388C22×C5911yescharacteristic
927#388C22×C5911yescharacteristic
928#388C22×C5911yescharacteristic
929#388C22×C5911yescharacteristic
930#388C22×C5911yescharacteristic
931#388C22×C5911yescharacteristic, complemented
932#388C22×C5911yescharacteristic, complemented
933#388C22×C5911yescharacteristic, complemented
934#388C22×C5911yescharacteristic, complemented
935#388C22×C5911yescharacteristic, complemented
936#388C22×C5911yescharacteristic, complemented
937#388C22×C5911yescharacteristic, complemented
938#387C22×C5911yescharacteristic, complemented
939#387C22×C5911yescharacteristic, complemented
940#387C22×C5911yescharacteristic, complemented
941#387C22×C5911yescharacteristic, complemented
942#387C22×C5911yescharacteristic, complemented
943#387C22×C5911yescharacteristic, complemented
944#387C22×C5911yescharacteristic, complemented
945#387C22×C5911yescharacteristic, complemented
946#387C22×C5911yescharacteristic, complemented
947#386C22×C5911yescharacteristic
948#386C22×C5911yescharacteristic
949#386C22×C5911yescharacteristic
950#386C22×C5911yescharacteristic
951#386C22×C5911yescharacteristic
952#386C22×C5911yescharacteristic
953#386C22×C5911yescharacteristic
954#386C22×C5911yescharacteristic
955#386C22×C5911yescharacteristic
956#386C22×C5911yescharacteristic
957#386C22×C5911yescharacteristic
958#386C22×C5911yescharacteristic
959#386C22×C5911yescharacteristic
960#386C22×C5911yescharacteristic
961#386C22×C5911yescharacteristic
962#386C22×C5911yescharacteristic
963#386C22×C5911yescharacteristic
964#386C22×C5911yescharacteristic, complemented
965#386C22×C5911yescharacteristic, complemented
966#386C22×C5911yescharacteristic, complemented
967#385C22×C5911yescharacteristic
968#385C22×C5911yescharacteristic
969#385C22×C5911yescharacteristic
970#385C22×C5911yescharacteristic
971#385C22×C5911yescharacteristic
972#385C22×C5911yescharacteristic
973#385C22×C5911yescharacteristic
974#385C22×C5911yescharacteristic
975#385C22×C5911yescharacteristic
976#385C22×C5911yescharacteristic, complemented
977#385C22×C5911yescharacteristic, complemented
978#385C22×C5911yescharacteristic, complemented
979#385C22×C5911yescharacteristic, complemented
980#385C22×C5911yescharacteristic, complemented
981#380C22×C5911yescharacteristic
982#380C22×C5911yescharacteristic
983#380C22×C5911yescharacteristic
984#380C22×C5911yescharacteristic
985#380C22×C5911yescharacteristic
986#380C22×C5911yescharacteristic
987#380C22×C5911yescharacteristic, complemented
988#380C22×C5911yescharacteristic, complemented
989#379C22×C5911yescharacteristic
990#379C22×C5911yescharacteristic
991#379C22×C5911yescharacteristic
992C4×C4⋊C4C22×C5911yescharacteristic, complemented
993C4×C22⋊C4C22×C5911yescharacteristic
994C4×C22⋊C4C22×C5911yescharacteristic
995C4×C22⋊C4C22×C5911yescharacteristic
996C2×#95C22×C5911yescharacteristic, complemented
997C59#3690111yescharacteristic, direct product factor, Sylow
998C25C23×C5911yescharacteristic
999C22×Q8C23×C5911yescharacteristic
1000C22×Q8C23×C5911yescharacteristic
1001C22×D4C23×C5911yescharacteristic
1002C22×D4C23×C5911yescharacteristic
1003C22×D4C23×C5911yescharacteristic
1004C22×D4C23×C5911yescharacteristic
1005C22×D4C23×C5911yescharacteristic
1006C22×D4C23×C5911yescharacteristic
1007C22×D4C23×C5911yescharacteristic
1008C22×D4C23×C5911yescharacteristic
1009C22×D4C23×C5911yescharacteristic
1010C22×D4C23×C5911yescharacteristic
1011C22×D4C23×C5911yescharacteristic
1012C22×D4C23×C5911yescharacteristic
1013C23×C4—42no—
1014C23×C4—42no—
1015C23×C4—42no—
1016C23×C4C23×C5911yescharacteristic
1017C23×C4C23×C5911yescharacteristic
1018C23×C4C23×C5911yescharacteristic
1019C23×C4C23×C5911yescharacteristic
1020C23×C4C23×C5911yescharacteristic
1021C23×C4C23×C5911yescharacteristic
1022C23×C4C23×C5911yescharacteristic
1023C23×C4C23×C5911yescharacteristic
1024C23×C4C23×C5911yescharacteristic
1025C23×C4C23×C5911yescharacteristic
1026C23×C4C23×C5911yescharacteristic
1027#126—42no—
1028#124—42no—
1029#123—42no—
1030#123—42no—
1031#123—42no—
1032C22⋊Q8—42no—
1033C22⋊Q8—42no—
1034C22⋊Q8—42no—
1035C22⋊Q8—42no—
1036C22⋊Q8—42no—
1037#121—24no—
1038#121—24no—
1039#121—42no—
1040#121—42no—
1041#121—42no—
1042#121—42no—
1043#120—24no—
1044#120—42no—
1045#120—42no—
1046C4×D4—42no—
1047C4×D4—42no—
1048C4×D4—42no—
1049C4×D4—42no—
1050#117—42no—
1051C2×C4⋊C4C23×C5911yescharacteristic
1052C2×C4⋊C4C23×C5911yescharacteristic
1053C2×C4⋊C4C23×C5911yescharacteristic
1054C2×C4⋊C4C23×C5911yescharacteristic
1055C2×C4⋊C4C23×C5911yescharacteristic
1056C2×C4⋊C4C23×C5911yescharacteristic
1057C2×C4⋊C4C23×C5911yescharacteristic
1058C2×C4⋊C4C23×C5911yescharacteristic
1059C2×C4⋊C4C23×C5911yescharacteristic
1060C2×C4⋊C4C23×C5911yescharacteristic
1061C2×C4⋊C4C23×C5911yescharacteristic
1062C2×C4⋊C4C23×C5911yescharacteristic
1063C2×C4⋊C4C23×C5911yescharacteristic
1064C2×C4⋊C4C23×C5911yescharacteristic
1065C2×C4⋊C4C23×C5911yescharacteristic
1066C2×C4⋊C4C23×C5911yescharacteristic
1067C2×C4⋊C4C23×C5911yescharacteristic
1068C2×C4⋊C4C23×C5911yescharacteristic
1069C2×C4⋊C4C23×C5911yescharacteristic
1070C2×C4⋊C4C23×C5911yescharacteristic
1071C2×C4⋊C4C23×C5911yescharacteristic
1072C2×C4⋊C4C23×C5911yescharacteristic
1073C2×C4⋊C4C23×C5911yescharacteristic
1074C2×C4⋊C4C23×C5911yescharacteristic
1075C2×C4⋊C4C23×C5911yescharacteristic
1076C2×C4⋊C4C23×C5911yescharacteristic
1077C2×C4⋊C4C23×C5911yescharacteristic
1078C2×C4⋊C4C23×C5911yescharacteristic
1079C2×C4⋊C4C23×C5911yescharacteristic
1080C2×C4⋊C4C23×C5911yescharacteristic
1081C2×C22⋊C4C23×C5911yescharacteristic
1082C2×C22⋊C4C23×C5911yescharacteristic
1083C2×C22⋊C4C23×C5911yescharacteristic
1084C2×C22⋊C4C23×C5911yescharacteristic
1085C2×C22⋊C4C23×C5911yescharacteristic
1086C2×C22⋊C4C23×C5911yescharacteristic
1087C2×C22⋊C4C23×C5911yescharacteristic
1088C2×C22⋊C4C23×C5911yescharacteristic
1089C2×C22⋊C4C23×C5911yescharacteristic
1090C2×C22⋊C4C23×C5911yescharacteristic
1091C2×C22⋊C4C23×C5911yescharacteristic
1092C2×C22⋊C4C23×C5911yescharacteristic
1093C2×C22⋊C4C23×C5911yescharacteristic
1094C2×C22⋊C4C23×C5911yescharacteristic
1095C2×C22⋊C4C23×C5911yescharacteristic
1096C2×C22⋊C4C23×C5911yescharacteristic
1097C2×C22⋊C4C23×C5911yescharacteristic
1098C2×C22⋊C4C23×C5911yescharacteristic
1099C2×C22⋊C4C23×C5911yescharacteristic
1100C2×C22⋊C4C23×C5911yescharacteristic
1101C2×C22⋊C4C23×C5911yescharacteristic
1102C2×C22⋊C4C23×C5911yescharacteristic
1103C2×C22⋊C4C23×C5911yescharacteristic
1104C2×C22⋊C4C23×C5911yescharacteristic
1105C2×C22⋊C4C23×C5911yescharacteristic
1106C2×C22⋊C4C23×C5911yescharacteristic
1107C2×C22⋊C4C23×C5911yescharacteristic
1108C2×C22⋊C4C23×C5911yescharacteristic
1109C2×C22⋊C4C23×C5911yescharacteristic
1110C2×C22⋊C4C23×C5911yescharacteristic
1111C2×C22⋊C4C23×C5911yescharacteristic
1112C2×C22⋊C4C23×C5911yescharacteristic
1113C2×C22⋊C4C23×C5911yescharacteristic
1114C2×C22⋊C4C23×C5911yescharacteristic
1115C2×C22⋊C4C23×C5911yescharacteristic
1116C2×C22⋊C4C23×C5911yescharacteristic
1117C2×C22⋊C4C23×C5911yescharacteristic
1118C2×C22⋊C4C23×C5911yescharacteristic
1119C2×C22⋊C4C23×C5911yescharacteristic
1120C2×C22⋊C4C23×C5911yescharacteristic
1121C2×C22⋊C4C23×C5911yescharacteristic
1122C2×C22⋊C4C23×C5911yescharacteristic
1123C2×C22⋊C4C23×C5911yescharacteristic
1124C2×C22⋊C4C23×C5911yescharacteristic
1125C2×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×C42C23×C5911yescharacteristic
1134C2×C42C23×C5911yescharacteristic
1135C2×C42C23×C5911yescharacteristic
1136C2×C42C23×C5911yescharacteristic
1137C2×C42C23×C5911yescharacteristic
1138C2×C42C23×C5911yescharacteristic
1139C2×C42C23×C5911yescharacteristic
1140#95C23×C5911yescharacteristic
1141#95C23×C5911yescharacteristic
1142#95C23×C5911yescharacteristic
1143#95C23×C5911yescharacteristic
1144#95C23×C5911yescharacteristic
1145#95C23×C5911yescharacteristic
1146#95C23×C5911yescharacteristic
1147#95C23×C5911yescharacteristic
1148#95C23×C5911yescharacteristic
1149#95C23×C5911yescharacteristic
1150#95C23×C5911yescharacteristic
1151#95C23×C5911yescharacteristic
1152#95C23×C5911yescharacteristic
1153#95C23×C5911yescharacteristic
1154#95C23×C5911yescharacteristic
1155#95C23×C5911yescharacteristic
1156#95C23×C5911yescharacteristic
1157#95C23×C5911yescharacteristic
1158#95C23×C5911yescharacteristic
1159#95C23×C5911yescharacteristic
1160#95C23×C5911yescharacteristic
1161#95C23×C5911yescharacteristic
1162#95C23×C5911yescharacteristic
1163#95C23×C5911yescharacteristic
1164#95C23×C5911yescharacteristic
1165#95C23×C5911yescharacteristic
1166#95C23×C5911yescharacteristic
1167#95C23×C5911yescharacteristic
1168#95C23×C5911yescharacteristic
1169#95C23×C5911yescharacteristic
1170#95C23×C5911yescharacteristic
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
1180C24—22no—
1181C24—22no—
1182C24—22no—
1183C24—41no—
1184C24—41no—
1185C24—41no—
1186C24—41no—
1187C24C24×C5911yescharacteristic
1188C24C24×C5911yescharacteristic
1189C24C24×C5911yescharacteristic
1190C24C24×C5911yescharacteristic
1191C24C24×C5911yescharacteristic
1192C24C24×C5911yescharacteristic
1193C2×Q8—22no—
1194C2×Q8—41no—
1195C2×Q8—41no—
1196C2×Q8—41no—
1197C2×Q8—41no—
1198C2×Q8—41no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4#41×C5914yes—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—416no—
1269C22×C4C24×C5911yescharacteristic
1270C22×C4C24×C5911yescharacteristic
1271C22×C4C24×C5911yescharacteristic
1272C22×C4C24×C5911yescharacteristic
1273C22×C4C24×C5911yescharacteristic
1274C22×C4C24×C5911yescharacteristic
1275C22×C4C24×C5911yescharacteristic
1276C22×C4C24×C5911yescharacteristic
1277C22×C4C24×C5911yescharacteristic
1278C22×C4C24×C5911yescharacteristic
1279C22×C4C24×C5911yescharacteristic
1280C22×C4C24×C5911yescharacteristic
1281C22×C4C24×C5911yescharacteristic
1282C22×C4C24×C5911yescharacteristic
1283C22×C4C24×C5911yescharacteristic
1284C22×C4C24×C5911yescharacteristic
1285C22×C4C24×C5911yescharacteristic
1286C22×C4C24×C5911yescharacteristic
1287C22×C4C24×C5911yescharacteristic
1288C22×C4C24×C5911yescharacteristic
1289C22×C4C24×C5911yescharacteristic
1290C22×C4C24×C5911yescharacteristic
1291C22×C4C24×C5911yescharacteristic
1292C22×C4C24×C5911yescharacteristic
1293C22×C4C24×C5911yescharacteristic
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C42—22no—
1377C42—41no—
1378C42—41no—
1379C42—41no—
1380C42—41no—
1381C42—41no—
1382C42—41no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23C2×#41×C5912yes—
1429C23C2×#41×C5912yes—
1430C23H(5,𝔽2)×C5912yes—
1431C232−1+4×C5912yes—
1432C23C25×C5911yescharacteristic
1433Q8—82no—
1434Q8—82no—
1435D4—44no—
1436D4—44no—
1437D4—44no—
1438D4—44no—
1439D4—82no—
1440D4—82no—
1441D4—82no—
1442D4—82no—
1443D4—82no—
1444D4—82no—
1445D4—82no—
1446D4—82no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—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—44no—
1519C2×C4—44no—
1520C2×C4—44no—
1521C2×C4—44no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—82no—
1526C2×C4—82no—
1527C2×C4—82no—
1528C2×C4—82no—
1529C2×C4C2×#41×C5912yes—
1530C2×C4H(5,𝔽2)×C5912yes—
1531C2×C4H(5,𝔽2)×C5912yes—
1532C2×C4H(5,𝔽2)×C5912yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—416no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22C22×#41×C5911yescharacteristic
1577C22C2×H(5,𝔽2)×C5911yescharacteristic
1578C22C2×H(5,𝔽2)×C5911yescharacteristic
1579C22C2×H(5,𝔽2)×C5911yescharacteristic
1580C22C2×H(5,𝔽2)×C5911yescharacteristic
1581C22C2×2−1+4×C5911yescharacteristic
1582C22C59×#58511yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C2—42no—
1609C2—42no—
1610C2—42no—
1611C2—42no—
1612C2—81no—
1613C2—81no—
1614C2C59×#345911yescharacteristic
1615C2C59×#351911yescharacteristic
1616C2C59×#352011yescharacteristic
1617C2C59×#353211yescharacteristic
1618C2C59×#353611yescharacteristic
1619C2C59×#354111yescharacteristic
1620C2C59×#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×#2848C2semidirect
2. C59×#2847C2semidirect
3. C59×#2787C2semidirect
4. C59×#2784C2semidirect
5. C59×#2778C2semidirect
6. C59×#2747C2semidirect
7. C59×#2732C2semidirect
8. C59×#2708C2semidirect
9. C59×#2696C2semidirect
10. C59×#2695C2semidirect
11. C59×#2692C2semidirect
12. C59×#2685C2semidirect
13. C59×#2684C2semidirect
14. C59×#2681C2semidirect
15. C59×#2678C2semidirect
16. C59×#2676C2semidirect
17. C59×#2671C2semidirect
18. C59×#2668C2semidirect
19. C59×#2653C2semidirect
20. C59×#2649C2semidirect
21. C59×#2522C2semidirect
22. C59×#2521C2semidirect
23. C59×#2477C2semidirect
24. C59×#2476C2semidirect
25. C59×#2463C2semidirect
26. C59×#2456C2semidirect
27. C59×#2450C2semidirect
28. C59×#2425C2semidirect
29. C59×#2325C2semidirect
30. C59×#2324C2semidirect
31. C4×#120×C59C2semidirect
36. C2×#123×C59C22semidirect
37. C2×#123×C59C22semidirect
41. C2×C22⋊Q8×C59C22semidirect
42. C2×C22⋊Q8×C59C22semidirect
55. C2×C4×D4×C59C22semidirect
56. C2×#117×C59C22semidirect
57. C59×#401C22semidirect
58. C59×#400C22semidirect
59. C59×#400C22semidirect
60. C59×#400C22semidirect
61. C59×#400C22semidirect
64. C59×#399C22semidirect
65. C59×#398C22semidirect
66. C59×#398C22semidirect
67. C59×#398C22semidirect
68. C59×#398C22semidirect
69. C59×#398C22semidirect
70. C59×#398C22semidirect
76. C59×#397C22semidirect
77. C59×#397C22semidirect
80. C59×#396C22semidirect
81. C59×#396C22semidirect
82. C59×#396C22semidirect
83. C59×#395C22semidirect
94. C59×#394C22semidirect
95. C59×#394C22semidirect
98. C59×#393C22semidirect
99. C59×#393C22semidirect
100. C59×#393C22semidirect
104. C59×#392C22semidirect
105. C59×#391C22semidirect
106. C59×#391C22semidirect
111. C59×#390C22semidirect
112. C59×#389C22semidirect
113. C59×#389C22semidirect
114. C59×#389C22semidirect
121. C59×#388C22semidirect
122. C59×#388C22semidirect
123. C59×#388C22semidirect
124. C59×#388C22semidirect
125. C59×#388C22semidirect
126. C59×#388C22semidirect
127. C59×#388C22semidirect
128. C59×#387C22semidirect
129. C59×#387C22semidirect
130. C59×#387C22semidirect
131. C59×#387C22semidirect
132. C59×#387C22semidirect
133. C59×#387C22semidirect
134. C59×#387C22semidirect
135. C59×#387C22semidirect
136. C59×#387C22semidirect
154. C59×#386C22semidirect
155. C59×#386C22semidirect
156. C59×#386C22semidirect
166. C59×#385C22semidirect
167. C59×#385C22semidirect
168. C59×#385C22semidirect
169. C59×#385C22semidirect
170. C59×#385C22semidirect
177. C59×#380C22semidirect
178. C59×#380C22semidirect
182. C4×C4⋊C4×C59C22semidirect
186. C2×#95×C59C22semidirect
722. #36901C59direct (N × H)
798. #2848C2×C59semidirect
799. #2847C2×C59semidirect
800. #2787C2×C59semidirect
801. #2784C2×C59semidirect
802. #2778C2×C59semidirect
803. #2747C2×C59semidirect
804. #2732C2×C59semidirect
805. #2708C2×C59semidirect
806. #2696C2×C59semidirect
807. #2695C2×C59semidirect
808. #2692C2×C59semidirect
809. #2685C2×C59semidirect
810. #2684C2×C59semidirect
811. #2681C2×C59semidirect
812. #2678C2×C59semidirect
813. #2676C2×C59semidirect
814. #2671C2×C59semidirect
815. #2668C2×C59semidirect
816. #2653C2×C59semidirect
817. #2649C2×C59semidirect
818. #2522C2×C59semidirect
819. #2521C2×C59semidirect
820. #2477C2×C59semidirect
821. #2476C2×C59semidirect
822. #2463C2×C59semidirect
823. #2456C2×C59semidirect
824. #2450C2×C59semidirect
825. #2425C2×C59semidirect
826. #2325C2×C59semidirect
827. #2324C2×C59semidirect
828. C4×#120C2×C59semidirect
846. C2×#123C22×C59semidirect
847. C2×#123C22×C59semidirect
851. C2×C22⋊Q8C22×C59semidirect
852. C2×C22⋊Q8C22×C59semidirect
865. C2×C4×D4C22×C59semidirect
866. C2×#117C22×C59semidirect
867. #401C22×C59semidirect
868. #400C22×C59semidirect
869. #400C22×C59semidirect
870. #400C22×C59semidirect
871. #400C22×C59semidirect
874. #399C22×C59semidirect
875. #398C22×C59semidirect
876. #398C22×C59semidirect
877. #398C22×C59semidirect
878. #398C22×C59semidirect
879. #398C22×C59semidirect
880. #398C22×C59semidirect
886. #397C22×C59semidirect
887. #397C22×C59semidirect
890. #396C22×C59semidirect
891. #396C22×C59semidirect
892. #396C22×C59semidirect
893. #395C22×C59semidirect
904. #394C22×C59semidirect
905. #394C22×C59semidirect
908. #393C22×C59semidirect
909. #393C22×C59semidirect
910. #393C22×C59semidirect
914. #392C22×C59semidirect
915. #391C22×C59semidirect
916. #391C22×C59semidirect
921. #390C22×C59semidirect
922. #389C22×C59semidirect
923. #389C22×C59semidirect
924. #389C22×C59semidirect
931. #388C22×C59semidirect
932. #388C22×C59semidirect
933. #388C22×C59semidirect
934. #388C22×C59semidirect
935. #388C22×C59semidirect
936. #388C22×C59semidirect
937. #388C22×C59semidirect
938. #387C22×C59semidirect
939. #387C22×C59semidirect
940. #387C22×C59semidirect
941. #387C22×C59semidirect
942. #387C22×C59semidirect
943. #387C22×C59semidirect
944. #387C22×C59semidirect
945. #387C22×C59semidirect
946. #387C22×C59semidirect
964. #386C22×C59semidirect
965. #386C22×C59semidirect
966. #386C22×C59semidirect
976. #385C22×C59semidirect
977. #385C22×C59semidirect
978. #385C22×C59semidirect
979. #385C22×C59semidirect
980. #385C22×C59semidirect
987. #380C22×C59semidirect
988. #380C22×C59semidirect
992. C4×C4⋊C4C22×C59semidirect
996. C2×#95C22×C59semidirect
997. C59#36901direct (N × H)

Maximal subgroups

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

subgroupindex
C59×#28482
C59×#28472
C59×#27872
C59×#27842
C59×#27782
C59×#27472
C59×#27322
C59×#27082
C59×#26962
C59×#26952
C59×#26922
C59×#26852
C59×#26842
C59×#26812
C59×#26782
C59×#26762
C59×#26712
C59×#26682
C59×#26532
C59×#26492
C59×#25222
C59×#25212
C59×#24772
C59×#24762
C59×#24632
C59×#24562
C59×#24502
C59×#24252
C59×#23252
C59×#23242
C4×#120×C592
#3690159