Finite Group Databasebeta

← C59×#36844 #28448953

Subgroups — C59×#36844 #28448953

Order 15104.

1848 conjugacy classes of subgroups.

The subgroup lattice has 1578 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C59×#2853C211yesmaximal, characteristic, complemented
2C59×#2850C211yesmaximal, characteristic, complemented
3C59×#2803C211yesmaximal, characteristic, complemented
4C59×#2781C211yesmaximal, characteristic, complemented
5C59×#2778C211yesmaximal, characteristic, complemented
6C59×#2767C211yesmaximal, characteristic, complemented
7C59×#2746C211yesmaximal, characteristic, complemented
8C59×#2743C211yesmaximal, characteristic, complemented
9C59×#2732C211yesmaximal, characteristic, complemented
10C59×#2710C211yesmaximal, characteristic, complemented
11C59×#2706C211yesmaximal, characteristic, complemented
12C59×#2699C211yesmaximal, characteristic, complemented
13C59×#2696C211yesmaximal, characteristic, complemented
14C59×#2693C211yesmaximal, characteristic, complemented
15C59×#2688C211yesmaximal, characteristic, complemented
16C59×#2676C211yesmaximal, characteristic, complemented
17C59×#2673C211yesmaximal, characteristic, complemented
18C59×#2673C211yesmaximal, characteristic, complemented
19C59×#2636C211yesmaximal, characteristic, complemented
20C59×#2635C211yesmaximal, characteristic, complemented
21C59×#2529C211yesmaximal, characteristic, complemented
22C59×#2527C211yesmaximal, characteristic, complemented
23C59×#2488C211yesmaximal, characteristic, complemented
24C59×#2468C211yesmaximal, characteristic, complemented
25C59×#2467C211yesmaximal, characteristic, complemented
26C59×#2464C211yesmaximal, characteristic, complemented
27C59×#2456C211yesmaximal, characteristic, complemented
28C59×#2444C211yesmaximal, characteristic, complemented
29C59×#2328C211yesmaximal, characteristic, complemented
30C59×#2325C211yesmaximal, characteristic, complemented
31C4×#121×C59C211yesmaximal, characteristic, complemented
32C2×#127×C59C2211yescharacteristic
33C2×#126×C59C2211yescharacteristic
34C2×#124×C59C2211yescharacteristic
35C2×#123×C59C2211yescharacteristic
36C2×#123×C59C2211yescharacteristic
37C2×#123×C59C2211yescharacteristic
38C2×#123×C59C2211yescharacteristic
39C2×C22⋊Q8×C59C2211yescharacteristic
40C2×C22⋊Q8×C59C2211yescharacteristic
41C2×#121×C59C2211yescharacteristic
42C2×#121×C59C2211yescharacteristic
43C2×#121×C59C2211yescharacteristic
44C2×#121×C59C2211yescharacteristic
45C2×#121×C59C2211yescharacteristic
46C2×#121×C59C2211yescharacteristic
47C2×C4×D4×C59C2211yescharacteristic
48C2×C4×D4×C59C2211yescharacteristic
49C2×C4×D4×C59C2211yescharacteristic
50C2×C4×D4×C59C2211yescharacteristic
51C2×C4×D4×C59C2211yescharacteristic
52C22×C42×C59C2211yescharacteristic
53C59×#401C2211yescharacteristic
54C59×#400C2211yescharacteristic
55C59×#400C2211yescharacteristic
56C59×#400C2211yescharacteristic
57C59×#400C2211yescharacteristic
58C59×#400C2211yescharacteristic
59C59×#400C2211yescharacteristic
60C59×#400C2211yescharacteristic
61C59×#399C2211yescharacteristic
62C59×#399C2211yescharacteristic
63C59×#399C2211yescharacteristic
64C59×#398C2211yescharacteristic
65C59×#398C2211yescharacteristic
66C59×#398C2211yescharacteristic
67C59×#398C2211yescharacteristic
68C59×#397C2211yescharacteristic
69C59×#397C2211yescharacteristic
70C59×#397C2211yescharacteristic
71C59×#397C2211yescharacteristic
72C59×#397C2211yescharacteristic
73C59×#396C2211yescharacteristic
74C59×#396C2211yescharacteristic
75C59×#396C2211yescharacteristic
76C59×#396C2211yescharacteristic
77C59×#394C2211yescharacteristic
78C59×#394C2211yescharacteristic
79C59×#394C2211yescharacteristic
80C59×#394C2211yescharacteristic
81C59×#394C2211yescharacteristic
82C59×#394C2211yescharacteristic
83C59×#394C2211yescharacteristic
84C59×#394C2211yescharacteristic
85C59×#394C2211yescharacteristic
86C59×#394C2211yescharacteristic
87C59×#394C2211yescharacteristic
88C59×#394C2211yescharacteristic
89C59×#393C2211yescharacteristic
90C59×#393C2211yescharacteristic
91C59×#392C2211yescharacteristic
92C59×#392C2211yescharacteristic
93C59×#392C2211yescharacteristic
94C59×#392C2211yescharacteristic
95C59×#392C2211yescharacteristic
96C59×#392C2211yescharacteristic
97C59×#392C2211yescharacteristic
98C59×#392C2211yescharacteristic
99C59×#392C2211yescharacteristic
100C59×#392C2211yescharacteristic
101C59×#391C2211yescharacteristic
102C59×#391C2211yescharacteristic
103C59×#390C2211yescharacteristic
104C59×#390C2211yescharacteristic
105C59×#390C2211yescharacteristic
106C59×#390C2211yescharacteristic
107C59×#390C2211yescharacteristic
108C59×#389C2211yescharacteristic
109C59×#389C2211yescharacteristic
110C59×#388C2211yescharacteristic
111C59×#388C2211yescharacteristic
112C59×#388C2211yescharacteristic
113C59×#388C2211yescharacteristic
114C59×#388C2211yescharacteristic
115C59×#388C2211yescharacteristic
116C59×#388C2211yescharacteristic
117C59×#388C2211yescharacteristic
118C59×#388C2211yescharacteristic
119C59×#388C2211yescharacteristic
120C59×#388C2211yescharacteristic
121C59×#388C2211yescharacteristic
122C59×#388C2211yescharacteristic
123C59×#388C2211yescharacteristic
124C59×#388C2211yescharacteristic
125C59×#388C2211yescharacteristic
126C59×#388C2211yescharacteristic
127C59×#388C2211yescharacteristic
128C59×#388C2211yescharacteristic
129C59×#387C2211yescharacteristic
130C59×#387C2211yescharacteristic
131C59×#387C2211yescharacteristic
132C59×#387C2211yescharacteristic
133C59×#387C2211yescharacteristic
134C59×#387C2211yescharacteristic
135C59×#387C2211yescharacteristic
136C59×#387C2211yescharacteristic
137C59×#387C2211yescharacteristic
138C59×#387C2211yescharacteristic
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
155C59×#386C2211yescharacteristic
156C59×#386C2211yescharacteristic
157C59×#386C2211yescharacteristic
158C59×#386C2211yescharacteristic
159C59×#386C2211yescharacteristic
160C59×#386C2211yescharacteristic
161C59×#386C2211yescharacteristic
162C59×#386C2211yescharacteristic
163C59×#385C2211yescharacteristic
164C59×#385C2211yescharacteristic
165C59×#385C2211yescharacteristic
166C59×#385C2211yescharacteristic
167C59×#385C2211yescharacteristic
168C59×#385C2211yescharacteristic
169C59×#385C2211yescharacteristic
170C59×#385C2211yescharacteristic
171C59×#382C2211yescharacteristic
172C59×#382C2211yescharacteristic
173C59×#382C2211yescharacteristic
174C59×#381C2211yescharacteristic
175C59×#381C2211yescharacteristic
176C59×#381C2211yescharacteristic
177C59×#381C2211yescharacteristic
178C59×#380C2211yescharacteristic
179C59×#380C2211yescharacteristic
180C59×#380C2211yescharacteristic
181C59×#380C2211yescharacteristic
182C4×C4⋊C4×C59C2211yescharacteristic
183C4×C22⋊C4×C59C2211yescharacteristic
184C4×C22⋊C4×C59C2211yescharacteristic
185C59×#376C2211yescharacteristic
186C2×#95×C59C2211yescharacteristic
187C22×Q8×C59C2311yescharacteristic
188C22×D4×C59C2311yescharacteristic
189C22×D4×C59C2311yescharacteristic
190C22×D4×C59C2311yescharacteristic
191C22×D4×C59C2311yescharacteristic
192C22×D4×C59C2311yescharacteristic
193C22×D4×C59C2311yescharacteristic
194C22×D4×C59C2311yescharacteristic
195C22×D4×C59C2311yescharacteristic
196C22×D4×C59C2311yescharacteristic
197C22×D4×C59C2311yescharacteristic
198C22×D4×C59C2311yescharacteristic
199C22×D4×C59C2311yescharacteristic
200C22×D4×C59C2311yescharacteristic
201C22×D4×C59C2311yescharacteristic
202C22×D4×C59C2311yescharacteristic
203C23×C4×C59C2311yescharacteristic
204C23×C4×C59C2311yescharacteristic
205C23×C4×C59C2311yescharacteristic
206C23×C4×C59C2311yescharacteristic
207C23×C4×C59C2311yescharacteristic
208C23×C4×C59C2311yescharacteristic
209C23×C4×C59C2311yescharacteristic
210C23×C4×C59C2311yescharacteristic
211C23×C4×C59C2311yescharacteristic
212C23×C4×C59C2311yescharacteristic
213#127×C59—24no—
214#126×C59—42no—
215#124×C59—42no—
216#123×C59—42no—
217#123×C59—42no—
218#123×C59—42no—
219#123×C59—42no—
220C22⋊Q8×C59—42no—
221C22⋊Q8×C59—42no—
222#121×C59—24no—
223#121×C59—24no—
224#121×C59—42no—
225#121×C59—42no—
226#121×C59—42no—
227#121×C59—42no—
228C4×D4×C59—42no—
229C4×D4×C59—42no—
230C4×D4×C59—42no—
231C4×D4×C59—42no—
232C4×D4×C59—42no—
233C2×C4⋊C4×C59C2311yescharacteristic
234C2×C4⋊C4×C59C2311yescharacteristic
235C2×C4⋊C4×C59C2311yescharacteristic
236C2×C4⋊C4×C59C2311yescharacteristic
237C2×C4⋊C4×C59C2311yescharacteristic
238C2×C4⋊C4×C59C2311yescharacteristic
239C2×C4⋊C4×C59C2311yescharacteristic
240C2×C4⋊C4×C59C2311yescharacteristic
241C2×C4⋊C4×C59C2311yescharacteristic
242C2×C4⋊C4×C59C2311yescharacteristic
243C2×C4⋊C4×C59C2311yescharacteristic
244C2×C4⋊C4×C59C2311yescharacteristic
245C2×C4⋊C4×C59C2311yescharacteristic
246C2×C4⋊C4×C59C2311yescharacteristic
247C2×C4⋊C4×C59C2311yescharacteristic
248C2×C4⋊C4×C59C2311yescharacteristic
249C2×C4⋊C4×C59C2311yescharacteristic
250C2×C4⋊C4×C59C2311yescharacteristic
251C2×C4⋊C4×C59C2311yescharacteristic
252C2×C4⋊C4×C59C2311yescharacteristic
253C2×C4⋊C4×C59C2311yescharacteristic
254C2×C4⋊C4×C59C2311yescharacteristic
255C2×C4⋊C4×C59C2311yescharacteristic
256C2×C4⋊C4×C59C2311yescharacteristic
257C2×C4⋊C4×C59C2311yescharacteristic
258C2×C4⋊C4×C59C2311yescharacteristic
259C2×C22⋊C4×C59C2311yescharacteristic
260C2×C22⋊C4×C59C2311yescharacteristic
261C2×C22⋊C4×C59C2311yescharacteristic
262C2×C22⋊C4×C59C2311yescharacteristic
263C2×C22⋊C4×C59C2311yescharacteristic
264C2×C22⋊C4×C59C2311yescharacteristic
265C2×C22⋊C4×C59C2311yescharacteristic
266C2×C22⋊C4×C59C2311yescharacteristic
267C2×C22⋊C4×C59C2311yescharacteristic
268C2×C22⋊C4×C59C2311yescharacteristic
269C2×C22⋊C4×C59C2311yescharacteristic
270C2×C22⋊C4×C59C2311yescharacteristic
271C2×C22⋊C4×C59C2311yescharacteristic
272C2×C22⋊C4×C59C2311yescharacteristic
273C2×C22⋊C4×C59C2311yescharacteristic
274C2×C22⋊C4×C59C2311yescharacteristic
275C2×C22⋊C4×C59C2311yescharacteristic
276C2×C22⋊C4×C59C2311yescharacteristic
277C2×C22⋊C4×C59C2311yescharacteristic
278C2×C22⋊C4×C59C2311yescharacteristic
279C2×C22⋊C4×C59C2311yescharacteristic
280C2×C22⋊C4×C59C2311yescharacteristic
281C2×C22⋊C4×C59C2311yescharacteristic
282C2×C22⋊C4×C59C2311yescharacteristic
283C2×C22⋊C4×C59C2311yescharacteristic
284C2×C22⋊C4×C59C2311yescharacteristic
285C2×C22⋊C4×C59C2311yescharacteristic
286C2×C22⋊C4×C59C2311yescharacteristic
287C2×C22⋊C4×C59C2311yescharacteristic
288C2×C22⋊C4×C59C2311yescharacteristic
289C2×C22⋊C4×C59C2311yescharacteristic
290C2×C22⋊C4×C59C2311yescharacteristic
291C2×C22⋊C4×C59C2311yescharacteristic
292C2×C22⋊C4×C59C2311yescharacteristic
293C2×C22⋊C4×C59C2311yescharacteristic
294C2×C22⋊C4×C59C2311yescharacteristic
295C2×C22⋊C4×C59C2311yescharacteristic
296C2×C22⋊C4×C59C2311yescharacteristic
297C2×C22⋊C4×C59C2311yescharacteristic
298C2×C22⋊C4×C59C2311yescharacteristic
299C2×C22⋊C4×C59C2311yescharacteristic
300C2×C22⋊C4×C59C2311yescharacteristic
301C2×C22⋊C4×C59C2311yescharacteristic
302C2×C22⋊C4×C59C2311yescharacteristic
303C2×C22⋊C4×C59C2311yescharacteristic
304C2×C22⋊C4×C59C2311yescharacteristic
305C2×C22⋊C4×C59C2311yescharacteristic
306C2×C22⋊C4×C59C2311yescharacteristic
307C2×C22⋊C4×C59C2311yescharacteristic
308C2×C22⋊C4×C59C2311yescharacteristic
309C2×C42×C59—42no—
310C2×C42×C59C2311yescharacteristic
311C2×C42×C59C2311yescharacteristic
312C2×C42×C59C2311yescharacteristic
313C2×C42×C59C2311yescharacteristic
314C2×C42×C59C2311yescharacteristic
315C2×C42×C59C2311yescharacteristic
316C2×C42×C59C2311yescharacteristic
317C2×C42×C59C2311yescharacteristic
318C2×C42×C59C2311yescharacteristic
319#95×C59C2311yescharacteristic
320#95×C59C2311yescharacteristic
321#95×C59C2311yescharacteristic
322#95×C59C2311yescharacteristic
323#95×C59C2311yescharacteristic
324#95×C59C2311yescharacteristic
325#95×C59C2311yescharacteristic
326#95×C59C2311yescharacteristic
327#95×C59C2311yescharacteristic
328#95×C59C2311yescharacteristic
329#95×C59C2311yescharacteristic
330#95×C59C2311yescharacteristic
331#95×C59C2311yescharacteristic
332#95×C59C2311yescharacteristic
333#95×C59C2311yescharacteristic
334#95×C59C2311yescharacteristic
335#95×C59C2311yescharacteristic
336#95×C59C2311yescharacteristic
337#95×C59C2311yescharacteristic
338#95×C59C2311yescharacteristic
339#95×C59C2311yescharacteristic
340#95×C59C2311yescharacteristic
341#95×C59C2311yescharacteristic
342#95×C59C2311yescharacteristic
343#95×C59C2311yescharacteristic
344#95×C59C2311yescharacteristic
345#95×C59C2311yescharacteristic
346#95×C59C2311yescharacteristic
347#95×C59C2311yescharacteristic
348#95×C59C2311yescharacteristic
349#95×C59C2311yescharacteristic
350#95×C59C2311yescharacteristic
351#95×C59C2311yescharacteristic
352#95×C59C2311yescharacteristic
353#95×C59C2311yescharacteristic
354#95×C59C2311yescharacteristic
355#95×C59C2311yescharacteristic
356#95×C59C2311yescharacteristic
357#95×C59C2311yescharacteristic
358#95×C59C2311yescharacteristic
359#95×C59C2311yescharacteristic
360#95×C59C2311yescharacteristic
361#95×C59C2311yescharacteristic
362#95×C59C2311yescharacteristic
363C24×C59C2411yescharacteristic
364C24×C59C2411yescharacteristic
365C24×C59C2411yescharacteristic
366C24×C59C2411yescharacteristic
367C24×C59C2411yescharacteristic
368C24×C59C2411yescharacteristic
369C2×Q8×C59—22no—
370C2×Q8×C59—41no—
371C2×Q8×C59—41no—
372C2×D4×C59—22no—
373C2×D4×C59—22no—
374C2×D4×C59—22no—
375C2×D4×C59—22no—
376C2×D4×C59—22no—
377C2×D4×C59—22no—
378C2×D4×C59—22no—
379C2×D4×C59—22no—
380C2×D4×C59—22no—
381C2×D4×C59—22no—
382C2×D4×C59—22no—
383C2×D4×C59—41no—
384C2×D4×C59—41no—
385C2×D4×C59—41no—
386C2×D4×C59—41no—
387C2×D4×C59—41no—
388C2×D4×C59—41no—
389C2×D4×C59—41no—
390C2×D4×C59—41no—
391C2×D4×C59—41no—
392C2×D4×C59—41no—
393C2×D4×C59—41no—
394C2×D4×C59—41no—
395C2×D4×C59—41no—
396C2×D4×C59—41no—
397C2×D4×C59—41no—
398C2×D4×C59—41no—
399C2×D4×C59—41no—
400C2×D4×C59—41no—
401C2×D4×C59—41no—
402C2×D4×C59—41no—
403C2×D4×C59—41no—
404C2×D4×C59—41no—
405C2×D4×C59—41no—
406C2×D4×C59—41no—
407C2×D4×C59—41no—
408C2×D4×C59—41no—
409C2×D4×C59—41no—
410C2×D4×C59—41no—
411C2×D4×C59—41no—
412C2×D4×C59—41no—
413C2×D4×C59—41no—
414C2×D4×C59—41no—
415C2×D4×C59—41no—
416C2×D4×C59#4114yes—
417C22×C4×C59—22no—
418C22×C4×C59—22no—
419C22×C4×C59—22no—
420C22×C4×C59—22no—
421C22×C4×C59—22no—
422C22×C4×C59—22no—
423C22×C4×C59—22no—
424C22×C4×C59—41no—
425C22×C4×C59—41no—
426C22×C4×C59—41no—
427C22×C4×C59—41no—
428C22×C4×C59—41no—
429C22×C4×C59—41no—
430C22×C4×C59—41no—
431C22×C4×C59—41no—
432C22×C4×C59—41no—
433C22×C4×C59—41no—
434C22×C4×C59—41no—
435C22×C4×C59—41no—
436C22×C4×C59—41no—
437C22×C4×C59—41no—
438C22×C4×C59—41no—
439C22×C4×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×C59C2411yescharacteristic
448C22×C4×C59C2411yescharacteristic
449C22×C4×C59C2411yescharacteristic
450C22×C4×C59C2411yescharacteristic
451C22×C4×C59C2411yescharacteristic
452C22×C4×C59C2411yescharacteristic
453C22×C4×C59C2411yescharacteristic
454C22×C4×C59C2411yescharacteristic
455C22×C4×C59C2411yescharacteristic
456C22×C4×C59C2411yescharacteristic
457C22×C4×C59C2411yescharacteristic
458C22×C4×C59C2411yescharacteristic
459C22×C4×C59C2411yescharacteristic
460C22×C4×C59C2411yescharacteristic
461C22×C4×C59C2411yescharacteristic
462C22×C4×C59C2411yescharacteristic
463C22×C4×C59C2411yescharacteristic
464C22×C4×C59C2411yescharacteristic
465C22×C4×C59C2411yescharacteristic
466C22×C4×C59C2411yescharacteristic
467C22×C4×C59C2411yescharacteristic
468C22×C4×C59C2411yescharacteristic
469C22×C4×C59C2411yescharacteristic
470C22×C4×C59C2411yescharacteristic
471C22×C4×C59C2411yescharacteristic
472C4⋊C4×C59—22no—
473C4⋊C4×C59—22no—
474C4⋊C4×C59—22no—
475C4⋊C4×C59—22no—
476C4⋊C4×C59—22no—
477C4⋊C4×C59—22no—
478C4⋊C4×C59—22no—
479C4⋊C4×C59—22no—
480C4⋊C4×C59—41no—
481C4⋊C4×C59—41no—
482C4⋊C4×C59—41no—
483C4⋊C4×C59—41no—
484C4⋊C4×C59—41no—
485C4⋊C4×C59—41no—
486C4⋊C4×C59—41no—
487C4⋊C4×C59—41no—
488C4⋊C4×C59—41no—
489C4⋊C4×C59—41no—
490C4⋊C4×C59—41no—
491C4⋊C4×C59—41no—
492C4⋊C4×C59—41no—
493C4⋊C4×C59—41no—
494C4⋊C4×C59—41no—
495C4⋊C4×C59—41no—
496C4⋊C4×C59—41no—
497C4⋊C4×C59—41no—
498C22⋊C4×C59—22no—
499C22⋊C4×C59—22no—
500C22⋊C4×C59—22no—
501C22⋊C4×C59—22no—
502C22⋊C4×C59—22no—
503C22⋊C4×C59—22no—
504C22⋊C4×C59—22no—
505C22⋊C4×C59—22no—
506C22⋊C4×C59—22no—
507C22⋊C4×C59—22no—
508C22⋊C4×C59—22no—
509C22⋊C4×C59—22no—
510C22⋊C4×C59—22no—
511C22⋊C4×C59—41no—
512C22⋊C4×C59—41no—
513C22⋊C4×C59—41no—
514C22⋊C4×C59—41no—
515C22⋊C4×C59—41no—
516C22⋊C4×C59—41no—
517C22⋊C4×C59—41no—
518C22⋊C4×C59—41no—
519C22⋊C4×C59—41no—
520C22⋊C4×C59—41no—
521C22⋊C4×C59—41no—
522C22⋊C4×C59—41no—
523C22⋊C4×C59—41no—
524C22⋊C4×C59—41no—
525C22⋊C4×C59—41no—
526C22⋊C4×C59—41no—
527C22⋊C4×C59—41no—
528C22⋊C4×C59—41no—
529C22⋊C4×C59—41no—
530C22⋊C4×C59—41no—
531C22⋊C4×C59—41no—
532C22⋊C4×C59—41no—
533C22⋊C4×C59—41no—
534C22⋊C4×C59—41no—
535C22⋊C4×C59—41no—
536C22⋊C4×C59—41no—
537C22⋊C4×C59—41no—
538C22⋊C4×C59—41no—
539C22⋊C4×C59—41no—
540C22⋊C4×C59—41no—
541C22⋊C4×C59—41no—
542C22⋊C4×C59—41no—
543C22⋊C4×C59—41no—
544C22⋊C4×C59—41no—
545C22⋊C4×C59—41no—
546C22⋊C4×C59—41no—
547C22⋊C4×C59—41no—
548C42×C59—22no—
549C42×C59—22no—
550C42×C59—22no—
551C42×C59—22no—
552C42×C59—22no—
553C42×C59—41no—
554C42×C59—41no—
555C42×C59—41no—
556C42×C59—41no—
557C23×C59—21no—
558C23×C59—21no—
559C23×C59—21no—
560C23×C59—21no—
561C23×C59—21no—
562C23×C59—21no—
563C23×C59—21no—
564C23×C59—21no—
565C23×C59—21no—
566C23×C59—21no—
567C23×C59—21no—
568C23×C59—21no—
569C23×C59—21no—
570C23×C59—21no—
571C23×C59—21no—
572C23×C59—21no—
573C23×C59—21no—
574C23×C59—21no—
575C23×C59—21no—
576C23×C59—21no—
577C23×C59—21no—
578C23×C59—21no—
579C23×C59—21no—
580C23×C59—21no—
581C23×C59—21no—
582C23×C59—21no—
583C23×C59—21no—
584C23×C59—21no—
585C23×C59—21no—
586C23×C59—21no—
587C23×C59—21no—
588C23×C59—21no—
589C23×C59—21no—
590C23×C59—21no—
591C23×C59—21no—
592C23×C59—21no—
593C23×C59—21no—
594C23×C59—21no—
595C23×C59—21no—
596C23×C59—21no—
597C23×C59C2×#4112yes—
598C23×C59C2×#4112yes—
599C23×C59C2511yescharacteristic
600Q8×C59—82no—
601D4×C59—44no—
602D4×C59—44no—
603D4×C59—44no—
604D4×C59—44no—
605D4×C59—44no—
606D4×C59—82no—
607D4×C59—82no—
608D4×C59—82no—
609D4×C59—82no—
610D4×C59—82no—
611D4×C59—82no—
612D4×C59—82no—
613D4×C59—82no—
614D4×C59—82no—
615D4×C59—82no—
616C2×C4×C59—21no—
617C2×C4×C59—21no—
618C2×C4×C59—21no—
619C2×C4×C59—21no—
620C2×C4×C59—21no—
621C2×C4×C59—21no—
622C2×C4×C59—21no—
623C2×C4×C59—21no—
624C2×C4×C59—21no—
625C2×C4×C59—21no—
626C2×C4×C59—21no—
627C2×C4×C59—21no—
628C2×C4×C59—21no—
629C2×C4×C59—21no—
630C2×C4×C59—21no—
631C2×C4×C59—21no—
632C2×C4×C59—21no—
633C2×C4×C59—21no—
634C2×C4×C59—21no—
635C2×C4×C59—21no—
636C2×C4×C59—21no—
637C2×C4×C59—21no—
638C2×C4×C59—21no—
639C2×C4×C59—21no—
640C2×C4×C59—21no—
641C2×C4×C59—21no—
642C2×C4×C59—21no—
643C2×C4×C59—21no—
644C2×C4×C59—21no—
645C2×C4×C59—21no—
646C2×C4×C59—21no—
647C2×C4×C59—21no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—21no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59—21no—
665C2×C4×C59—21no—
666C2×C4×C59—21no—
667C2×C4×C59—21no—
668C2×C4×C59—21no—
669C2×C4×C59—21no—
670C2×C4×C59—21no—
671C2×C4×C59—21no—
672C2×C4×C59—21no—
673C2×C4×C59—21no—
674C2×C4×C59—21no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—21no—
679C2×C4×C59—21no—
680C2×C4×C59—21no—
681C2×C4×C59—21no—
682C2×C4×C59—21no—
683C2×C4×C59—21no—
684C2×C4×C59—21no—
685C2×C4×C59—21no—
686C2×C4×C59—21no—
687C2×C4×C59—44no—
688C2×C4×C59—44no—
689C2×C4×C59—44no—
690C2×C4×C59—82no—
691C2×C4×C59—82no—
692C2×C4×C59—82no—
693C2×C4×C59—82no—
694C2×C4×C59—82no—
695C2×C4×C59—82no—
696C2×C4×C59—82no—
697C2×C4×C59C2×#4112yes—
698C2×C4×C59H(5,𝔽2)12yes—
699C2×C4×C59H(5,𝔽2)12yes—
700C2×C4×C59H(5,𝔽2)12yes—
701#36844C5911yesmaximal, characteristic, direct product factor, Sylow
702C22×C59—22no—
703C22×C59—22no—
704C22×C59—22no—
705C22×C59—22no—
706C22×C59—22no—
707C22×C59—22no—
708C22×C59—41no—
709C22×C59—41no—
710C22×C59—41no—
711C22×C59—41no—
712C22×C59—41no—
713C22×C59—41no—
714C22×C59—41no—
715C22×C59—41no—
716C22×C59—41no—
717C22×C59—41no—
718C22×C59—41no—
719C22×C59—41no—
720C22×C59—41no—
721C22×C59—41no—
722C22×C59—41no—
723C22×C59—41no—
724C22×C59—41no—
725C22×C59—41no—
726C22×C59—41no—
727C22×C59—41no—
728C22×C59—41no—
729C22×C59—41no—
730C22×C59—41no—
731C22×C59—41no—
732C22×C59—41no—
733C22×C59—41no—
734C22×C59—41no—
735C22×C59—41no—
736C22×C59—41no—
737C22×C59—41no—
738C22×C59—41no—
739C22×C59—41no—
740C22×C59—41no—
741C22×C59—41no—
742C22×C59—41no—
743C22×C59—41no—
744C22×C59C22×#4111yescharacteristic
745C22×C59C2×H(5,𝔽2)11yescharacteristic
746C22×C59C2×H(5,𝔽2)11yescharacteristic
747C22×C59C2×H(5,𝔽2)11yescharacteristic
748C22×C59#58511yescharacteristic
749C22×C59#58511yescharacteristic
750C22×C59#58511yescharacteristic
751C4×C59—22no—
752C4×C59—22no—
753C4×C59—22no—
754C4×C59—22no—
755C4×C59—41no—
756C4×C59—41no—
757C4×C59—41no—
758C4×C59—41no—
759C4×C59—41no—
760C4×C59—41no—
761C4×C59—41no—
762C4×C59—41no—
763C4×C59—41no—
764C4×C59—41no—
765C4×C59—41no—
766C4×C59—41no—
767C4×C59—41no—
768C4×C59—41no—
769C4×C59—41no—
770C4×C59—41no—
771C4×C59—41no—
772C4×C59—41no—
773C4×C59—41no—
774C4×C59—41no—
775C4×C59—41no—
776#2853C2×C5911yescharacteristic, complemented
777#2850C2×C5911yescharacteristic, complemented
778#2803C2×C5911yescharacteristic, complemented
779#2781C2×C5911yescharacteristic, complemented
780#2778C2×C5911yescharacteristic, complemented
781#2767C2×C5911yescharacteristic, complemented
782#2746C2×C5911yescharacteristic, complemented
783#2743C2×C5911yescharacteristic, complemented
784#2732C2×C5911yescharacteristic, complemented
785#2710C2×C5911yescharacteristic, complemented
786#2706C2×C5911yescharacteristic, complemented
787#2699C2×C5911yescharacteristic, complemented
788#2696C2×C5911yescharacteristic, complemented
789#2693C2×C5911yescharacteristic, complemented
790#2688C2×C5911yescharacteristic, complemented
791#2676C2×C5911yescharacteristic, complemented
792#2673C2×C5911yescharacteristic, complemented
793#2673C2×C5911yescharacteristic, complemented
794#2636C2×C5911yescharacteristic, complemented
795#2635C2×C5911yescharacteristic, complemented
796#2529C2×C5911yescharacteristic, complemented
797#2527C2×C5911yescharacteristic, complemented
798#2488C2×C5911yescharacteristic, complemented
799#2468C2×C5911yescharacteristic, complemented
800#2467C2×C5911yescharacteristic, complemented
801#2464C2×C5911yescharacteristic, complemented
802#2456C2×C5911yescharacteristic, complemented
803#2444C2×C5911yescharacteristic, complemented
804#2328C2×C5911yescharacteristic, complemented
805#2325C2×C5911yescharacteristic, complemented
806C4×#121C2×C5911yescharacteristic, complemented
807C2×C59—42no—
808C2×C59—42no—
809C2×C59—81no—
810C2×C59—81no—
811C2×C59—81no—
812C2×C59—81no—
813C2×C59#345911yescharacteristic
814C2×C59#351311yescharacteristic
815C2×C59#351411yescharacteristic
816C2×C59#354211yescharacteristic
817C2×C59#354211yescharacteristic
818C2×C59#354611yescharacteristic
819C2×C59#356711yescharacteristic
820C2×#127C22×C5911yescharacteristic
821C2×#126C22×C5911yescharacteristic
822C2×#124C22×C5911yescharacteristic
823C2×#123C22×C5911yescharacteristic
824C2×#123C22×C5911yescharacteristic
825C2×#123C22×C5911yescharacteristic
826C2×#123C22×C5911yescharacteristic
827C2×C22⋊Q8C22×C5911yescharacteristic
828C2×C22⋊Q8C22×C5911yescharacteristic
829C2×#121C22×C5911yescharacteristic
830C2×#121C22×C5911yescharacteristic
831C2×#121C22×C5911yescharacteristic
832C2×#121C22×C5911yescharacteristic
833C2×#121C22×C5911yescharacteristic
834C2×#121C22×C5911yescharacteristic
835C2×C4×D4C22×C5911yescharacteristic
836C2×C4×D4C22×C5911yescharacteristic
837C2×C4×D4C22×C5911yescharacteristic
838C2×C4×D4C22×C5911yescharacteristic
839C2×C4×D4C22×C5911yescharacteristic
840C22×C42C22×C5911yescharacteristic
841#401C22×C5911yescharacteristic
842#400C22×C5911yescharacteristic
843#400C22×C5911yescharacteristic
844#400C22×C5911yescharacteristic
845#400C22×C5911yescharacteristic
846#400C22×C5911yescharacteristic
847#400C22×C5911yescharacteristic
848#400C22×C5911yescharacteristic
849#399C22×C5911yescharacteristic
850#399C22×C5911yescharacteristic
851#399C22×C5911yescharacteristic
852#398C22×C5911yescharacteristic
853#398C22×C5911yescharacteristic
854#398C22×C5911yescharacteristic
855#398C22×C5911yescharacteristic
856#397C22×C5911yescharacteristic
857#397C22×C5911yescharacteristic
858#397C22×C5911yescharacteristic
859#397C22×C5911yescharacteristic
860#397C22×C5911yescharacteristic
861#396C22×C5911yescharacteristic
862#396C22×C5911yescharacteristic
863#396C22×C5911yescharacteristic
864#396C22×C5911yescharacteristic
865#394C22×C5911yescharacteristic
866#394C22×C5911yescharacteristic
867#394C22×C5911yescharacteristic
868#394C22×C5911yescharacteristic
869#394C22×C5911yescharacteristic
870#394C22×C5911yescharacteristic
871#394C22×C5911yescharacteristic
872#394C22×C5911yescharacteristic
873#394C22×C5911yescharacteristic
874#394C22×C5911yescharacteristic
875#394C22×C5911yescharacteristic
876#394C22×C5911yescharacteristic
877#393C22×C5911yescharacteristic
878#393C22×C5911yescharacteristic
879#392C22×C5911yescharacteristic
880#392C22×C5911yescharacteristic
881#392C22×C5911yescharacteristic
882#392C22×C5911yescharacteristic
883#392C22×C5911yescharacteristic
884#392C22×C5911yescharacteristic
885#392C22×C5911yescharacteristic
886#392C22×C5911yescharacteristic
887#392C22×C5911yescharacteristic
888#392C22×C5911yescharacteristic
889#391C22×C5911yescharacteristic
890#391C22×C5911yescharacteristic
891#390C22×C5911yescharacteristic
892#390C22×C5911yescharacteristic
893#390C22×C5911yescharacteristic
894#390C22×C5911yescharacteristic
895#390C22×C5911yescharacteristic
896#389C22×C5911yescharacteristic
897#389C22×C5911yescharacteristic
898#388C22×C5911yescharacteristic
899#388C22×C5911yescharacteristic
900#388C22×C5911yescharacteristic
901#388C22×C5911yescharacteristic
902#388C22×C5911yescharacteristic
903#388C22×C5911yescharacteristic
904#388C22×C5911yescharacteristic
905#388C22×C5911yescharacteristic
906#388C22×C5911yescharacteristic
907#388C22×C5911yescharacteristic
908#388C22×C5911yescharacteristic
909#388C22×C5911yescharacteristic
910#388C22×C5911yescharacteristic
911#388C22×C5911yescharacteristic
912#388C22×C5911yescharacteristic
913#388C22×C5911yescharacteristic
914#388C22×C5911yescharacteristic
915#388C22×C5911yescharacteristic
916#388C22×C5911yescharacteristic
917#387C22×C5911yescharacteristic
918#387C22×C5911yescharacteristic
919#387C22×C5911yescharacteristic
920#387C22×C5911yescharacteristic
921#387C22×C5911yescharacteristic
922#387C22×C5911yescharacteristic
923#387C22×C5911yescharacteristic
924#387C22×C5911yescharacteristic
925#387C22×C5911yescharacteristic
926#387C22×C5911yescharacteristic
927#386C22×C5911yescharacteristic
928#386C22×C5911yescharacteristic
929#386C22×C5911yescharacteristic
930#386C22×C5911yescharacteristic
931#386C22×C5911yescharacteristic
932#386C22×C5911yescharacteristic
933#386C22×C5911yescharacteristic
934#386C22×C5911yescharacteristic
935#386C22×C5911yescharacteristic
936#386C22×C5911yescharacteristic
937#386C22×C5911yescharacteristic
938#386C22×C5911yescharacteristic
939#386C22×C5911yescharacteristic
940#386C22×C5911yescharacteristic
941#386C22×C5911yescharacteristic
942#386C22×C5911yescharacteristic
943#386C22×C5911yescharacteristic
944#386C22×C5911yescharacteristic
945#386C22×C5911yescharacteristic
946#386C22×C5911yescharacteristic
947#386C22×C5911yescharacteristic
948#386C22×C5911yescharacteristic
949#386C22×C5911yescharacteristic
950#386C22×C5911yescharacteristic
951#385C22×C5911yescharacteristic
952#385C22×C5911yescharacteristic
953#385C22×C5911yescharacteristic
954#385C22×C5911yescharacteristic
955#385C22×C5911yescharacteristic
956#385C22×C5911yescharacteristic
957#385C22×C5911yescharacteristic
958#385C22×C5911yescharacteristic
959#382C22×C5911yescharacteristic
960#382C22×C5911yescharacteristic
961#382C22×C5911yescharacteristic
962#381C22×C5911yescharacteristic
963#381C22×C5911yescharacteristic
964#381C22×C5911yescharacteristic
965#381C22×C5911yescharacteristic
966#380C22×C5911yescharacteristic
967#380C22×C5911yescharacteristic
968#380C22×C5911yescharacteristic
969#380C22×C5911yescharacteristic
970C4×C4⋊C4C22×C5911yescharacteristic
971C4×C22⋊C4C22×C5911yescharacteristic
972C4×C22⋊C4C22×C5911yescharacteristic
973#376C22×C5911yescharacteristic
974C2×#95C22×C5911yescharacteristic
975C59#3684411yescharacteristic, direct product factor, Sylow
976C22×Q8C23×C5911yescharacteristic
977C22×D4C23×C5911yescharacteristic
978C22×D4C23×C5911yescharacteristic
979C22×D4C23×C5911yescharacteristic
980C22×D4C23×C5911yescharacteristic
981C22×D4C23×C5911yescharacteristic
982C22×D4C23×C5911yescharacteristic
983C22×D4C23×C5911yescharacteristic
984C22×D4C23×C5911yescharacteristic
985C22×D4C23×C5911yescharacteristic
986C22×D4C23×C5911yescharacteristic
987C22×D4C23×C5911yescharacteristic
988C22×D4C23×C5911yescharacteristic
989C22×D4C23×C5911yescharacteristic
990C22×D4C23×C5911yescharacteristic
991C22×D4C23×C5911yescharacteristic
992C23×C4C23×C5911yescharacteristic
993C23×C4C23×C5911yescharacteristic
994C23×C4C23×C5911yescharacteristic
995C23×C4C23×C5911yescharacteristic
996C23×C4C23×C5911yescharacteristic
997C23×C4C23×C5911yescharacteristic
998C23×C4C23×C5911yescharacteristic
999C23×C4C23×C5911yescharacteristic
1000C23×C4C23×C5911yescharacteristic
1001C23×C4C23×C5911yescharacteristic
1002#127—24no—
1003#126—42no—
1004#124—42no—
1005#123—42no—
1006#123—42no—
1007#123—42no—
1008#123—42no—
1009C22⋊Q8—42no—
1010C22⋊Q8—42no—
1011#121—24no—
1012#121—24no—
1013#121—42no—
1014#121—42no—
1015#121—42no—
1016#121—42no—
1017C4×D4—42no—
1018C4×D4—42no—
1019C4×D4—42no—
1020C4×D4—42no—
1021C4×D4—42no—
1022C2×C4⋊C4C23×C5911yescharacteristic
1023C2×C4⋊C4C23×C5911yescharacteristic
1024C2×C4⋊C4C23×C5911yescharacteristic
1025C2×C4⋊C4C23×C5911yescharacteristic
1026C2×C4⋊C4C23×C5911yescharacteristic
1027C2×C4⋊C4C23×C5911yescharacteristic
1028C2×C4⋊C4C23×C5911yescharacteristic
1029C2×C4⋊C4C23×C5911yescharacteristic
1030C2×C4⋊C4C23×C5911yescharacteristic
1031C2×C4⋊C4C23×C5911yescharacteristic
1032C2×C4⋊C4C23×C5911yescharacteristic
1033C2×C4⋊C4C23×C5911yescharacteristic
1034C2×C4⋊C4C23×C5911yescharacteristic
1035C2×C4⋊C4C23×C5911yescharacteristic
1036C2×C4⋊C4C23×C5911yescharacteristic
1037C2×C4⋊C4C23×C5911yescharacteristic
1038C2×C4⋊C4C23×C5911yescharacteristic
1039C2×C4⋊C4C23×C5911yescharacteristic
1040C2×C4⋊C4C23×C5911yescharacteristic
1041C2×C4⋊C4C23×C5911yescharacteristic
1042C2×C4⋊C4C23×C5911yescharacteristic
1043C2×C4⋊C4C23×C5911yescharacteristic
1044C2×C4⋊C4C23×C5911yescharacteristic
1045C2×C4⋊C4C23×C5911yescharacteristic
1046C2×C4⋊C4C23×C5911yescharacteristic
1047C2×C4⋊C4C23×C5911yescharacteristic
1048C2×C22⋊C4C23×C5911yescharacteristic
1049C2×C22⋊C4C23×C5911yescharacteristic
1050C2×C22⋊C4C23×C5911yescharacteristic
1051C2×C22⋊C4C23×C5911yescharacteristic
1052C2×C22⋊C4C23×C5911yescharacteristic
1053C2×C22⋊C4C23×C5911yescharacteristic
1054C2×C22⋊C4C23×C5911yescharacteristic
1055C2×C22⋊C4C23×C5911yescharacteristic
1056C2×C22⋊C4C23×C5911yescharacteristic
1057C2×C22⋊C4C23×C5911yescharacteristic
1058C2×C22⋊C4C23×C5911yescharacteristic
1059C2×C22⋊C4C23×C5911yescharacteristic
1060C2×C22⋊C4C23×C5911yescharacteristic
1061C2×C22⋊C4C23×C5911yescharacteristic
1062C2×C22⋊C4C23×C5911yescharacteristic
1063C2×C22⋊C4C23×C5911yescharacteristic
1064C2×C22⋊C4C23×C5911yescharacteristic
1065C2×C22⋊C4C23×C5911yescharacteristic
1066C2×C22⋊C4C23×C5911yescharacteristic
1067C2×C22⋊C4C23×C5911yescharacteristic
1068C2×C22⋊C4C23×C5911yescharacteristic
1069C2×C22⋊C4C23×C5911yescharacteristic
1070C2×C22⋊C4C23×C5911yescharacteristic
1071C2×C22⋊C4C23×C5911yescharacteristic
1072C2×C22⋊C4C23×C5911yescharacteristic
1073C2×C22⋊C4C23×C5911yescharacteristic
1074C2×C22⋊C4C23×C5911yescharacteristic
1075C2×C22⋊C4C23×C5911yescharacteristic
1076C2×C22⋊C4C23×C5911yescharacteristic
1077C2×C22⋊C4C23×C5911yescharacteristic
1078C2×C22⋊C4C23×C5911yescharacteristic
1079C2×C22⋊C4C23×C5911yescharacteristic
1080C2×C22⋊C4C23×C5911yescharacteristic
1081C2×C22⋊C4C23×C5911yescharacteristic
1082C2×C22⋊C4C23×C5911yescharacteristic
1083C2×C22⋊C4C23×C5911yescharacteristic
1084C2×C22⋊C4C23×C5911yescharacteristic
1085C2×C22⋊C4C23×C5911yescharacteristic
1086C2×C22⋊C4C23×C5911yescharacteristic
1087C2×C22⋊C4C23×C5911yescharacteristic
1088C2×C22⋊C4C23×C5911yescharacteristic
1089C2×C22⋊C4C23×C5911yescharacteristic
1090C2×C22⋊C4C23×C5911yescharacteristic
1091C2×C22⋊C4C23×C5911yescharacteristic
1092C2×C22⋊C4C23×C5911yescharacteristic
1093C2×C22⋊C4C23×C5911yescharacteristic
1094C2×C22⋊C4C23×C5911yescharacteristic
1095C2×C22⋊C4C23×C5911yescharacteristic
1096C2×C22⋊C4C23×C5911yescharacteristic
1097C2×C22⋊C4C23×C5911yescharacteristic
1098C2×C42—42no—
1099C2×C42C23×C5911yescharacteristic
1100C2×C42C23×C5911yescharacteristic
1101C2×C42C23×C5911yescharacteristic
1102C2×C42C23×C5911yescharacteristic
1103C2×C42C23×C5911yescharacteristic
1104C2×C42C23×C5911yescharacteristic
1105C2×C42C23×C5911yescharacteristic
1106C2×C42C23×C5911yescharacteristic
1107C2×C42C23×C5911yescharacteristic
1108#95C23×C5911yescharacteristic
1109#95C23×C5911yescharacteristic
1110#95C23×C5911yescharacteristic
1111#95C23×C5911yescharacteristic
1112#95C23×C5911yescharacteristic
1113#95C23×C5911yescharacteristic
1114#95C23×C5911yescharacteristic
1115#95C23×C5911yescharacteristic
1116#95C23×C5911yescharacteristic
1117#95C23×C5911yescharacteristic
1118#95C23×C5911yescharacteristic
1119#95C23×C5911yescharacteristic
1120#95C23×C5911yescharacteristic
1121#95C23×C5911yescharacteristic
1122#95C23×C5911yescharacteristic
1123#95C23×C5911yescharacteristic
1124#95C23×C5911yescharacteristic
1125#95C23×C5911yescharacteristic
1126#95C23×C5911yescharacteristic
1127#95C23×C5911yescharacteristic
1128#95C23×C5911yescharacteristic
1129#95C23×C5911yescharacteristic
1130#95C23×C5911yescharacteristic
1131#95C23×C5911yescharacteristic
1132#95C23×C5911yescharacteristic
1133#95C23×C5911yescharacteristic
1134#95C23×C5911yescharacteristic
1135#95C23×C5911yescharacteristic
1136#95C23×C5911yescharacteristic
1137#95C23×C5911yescharacteristic
1138#95C23×C5911yescharacteristic
1139#95C23×C5911yescharacteristic
1140#95C23×C5911yescharacteristic
1141#95C23×C5911yescharacteristic
1142#95C23×C5911yescharacteristic
1143#95C23×C5911yescharacteristic
1144#95C23×C5911yescharacteristic
1145#95C23×C5911yescharacteristic
1146#95C23×C5911yescharacteristic
1147#95C23×C5911yescharacteristic
1148#95C23×C5911yescharacteristic
1149#95C23×C5911yescharacteristic
1150#95C23×C5911yescharacteristic
1151#95C23×C5911yescharacteristic
1152C24C24×C5911yescharacteristic
1153C24C24×C5911yescharacteristic
1154C24C24×C5911yescharacteristic
1155C24C24×C5911yescharacteristic
1156C24C24×C5911yescharacteristic
1157C24C24×C5911yescharacteristic
1158C2×Q8—22no—
1159C2×Q8—41no—
1160C2×Q8—41no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4#41×C5914yes—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4C24×C5911yescharacteristic
1237C22×C4C24×C5911yescharacteristic
1238C22×C4C24×C5911yescharacteristic
1239C22×C4C24×C5911yescharacteristic
1240C22×C4C24×C5911yescharacteristic
1241C22×C4C24×C5911yescharacteristic
1242C22×C4C24×C5911yescharacteristic
1243C22×C4C24×C5911yescharacteristic
1244C22×C4C24×C5911yescharacteristic
1245C22×C4C24×C5911yescharacteristic
1246C22×C4C24×C5911yescharacteristic
1247C22×C4C24×C5911yescharacteristic
1248C22×C4C24×C5911yescharacteristic
1249C22×C4C24×C5911yescharacteristic
1250C22×C4C24×C5911yescharacteristic
1251C22×C4C24×C5911yescharacteristic
1252C22×C4C24×C5911yescharacteristic
1253C22×C4C24×C5911yescharacteristic
1254C22×C4C24×C5911yescharacteristic
1255C22×C4C24×C5911yescharacteristic
1256C22×C4C24×C5911yescharacteristic
1257C22×C4C24×C5911yescharacteristic
1258C22×C4C24×C5911yescharacteristic
1259C22×C4C24×C5911yescharacteristic
1260C22×C4C24×C5911yescharacteristic
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C42—22no—
1338C42—22no—
1339C42—22no—
1340C42—22no—
1341C42—22no—
1342C42—41no—
1343C42—41no—
1344C42—41no—
1345C42—41no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23C2×#41×C5912yes—
1387C23C2×#41×C5912yes—
1388C23C25×C5911yescharacteristic
1389Q8—82no—
1390D4—44no—
1391D4—44no—
1392D4—44no—
1393D4—44no—
1394D4—44no—
1395D4—82no—
1396D4—82no—
1397D4—82no—
1398D4—82no—
1399D4—82no—
1400D4—82no—
1401D4—82no—
1402D4—82no—
1403D4—82no—
1404D4—82no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—44no—
1477C2×C4—44no—
1478C2×C4—44no—
1479C2×C4—82no—
1480C2×C4—82no—
1481C2×C4—82no—
1482C2×C4—82no—
1483C2×C4—82no—
1484C2×C4—82no—
1485C2×C4—82no—
1486C2×C4C2×#41×C5912yes—
1487C2×C4H(5,𝔽2)×C5912yes—
1488C2×C4H(5,𝔽2)×C5912yes—
1489C2×C4H(5,𝔽2)×C5912yes—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22C22×#41×C5911yescharacteristic
1533C22C2×H(5,𝔽2)×C5911yescharacteristic
1534C22C2×H(5,𝔽2)×C5911yescharacteristic
1535C22C2×H(5,𝔽2)×C5911yescharacteristic
1536C22C59×#58511yescharacteristic
1537C22C59×#58511yescharacteristic
1538C22C59×#58511yescharacteristic
1539C4—22no—
1540C4—22no—
1541C4—22no—
1542C4—22no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C2—42no—
1565C2—42no—
1566C2—81no—
1567C2—81no—
1568C2—81no—
1569C2—81no—
1570C2C59×#345911yescharacteristic
1571C2C59×#351311yescharacteristic
1572C2C59×#351411yescharacteristic
1573C2C59×#354211yescharacteristic
1574C2C59×#354211yescharacteristic
1575C2C59×#354611yescharacteristic
1576C2C59×#356711yescharacteristic
subgroupG/H
center, socleC23×C59C25
commutator, Frattini, cosocleC23C25×C59
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C59 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C59×#2853C2semidirect
2. C59×#2850C2semidirect
3. C59×#2803C2semidirect
4. C59×#2781C2semidirect
5. C59×#2778C2semidirect
6. C59×#2767C2semidirect
7. C59×#2746C2semidirect
8. C59×#2743C2semidirect
9. C59×#2732C2semidirect
10. C59×#2710C2semidirect
11. C59×#2706C2semidirect
12. C59×#2699C2semidirect
13. C59×#2696C2semidirect
14. C59×#2693C2semidirect
15. C59×#2688C2semidirect
16. C59×#2676C2semidirect
17. C59×#2673C2semidirect
18. C59×#2673C2semidirect
19. C59×#2636C2semidirect
20. C59×#2635C2semidirect
21. C59×#2529C2semidirect
22. C59×#2527C2semidirect
23. C59×#2488C2semidirect
24. C59×#2468C2semidirect
25. C59×#2467C2semidirect
26. C59×#2464C2semidirect
27. C59×#2456C2semidirect
28. C59×#2444C2semidirect
29. C59×#2328C2semidirect
30. C59×#2325C2semidirect
31. C4×#121×C59C2semidirect
701. #36844C59direct (N × H)
776. #2853C2×C59semidirect
777. #2850C2×C59semidirect
778. #2803C2×C59semidirect
779. #2781C2×C59semidirect
780. #2778C2×C59semidirect
781. #2767C2×C59semidirect
782. #2746C2×C59semidirect
783. #2743C2×C59semidirect
784. #2732C2×C59semidirect
785. #2710C2×C59semidirect
786. #2706C2×C59semidirect
787. #2699C2×C59semidirect
788. #2696C2×C59semidirect
789. #2693C2×C59semidirect
790. #2688C2×C59semidirect
791. #2676C2×C59semidirect
792. #2673C2×C59semidirect
793. #2673C2×C59semidirect
794. #2636C2×C59semidirect
795. #2635C2×C59semidirect
796. #2529C2×C59semidirect
797. #2527C2×C59semidirect
798. #2488C2×C59semidirect
799. #2468C2×C59semidirect
800. #2467C2×C59semidirect
801. #2464C2×C59semidirect
802. #2456C2×C59semidirect
803. #2444C2×C59semidirect
804. #2328C2×C59semidirect
805. #2325C2×C59semidirect
806. C4×#121C2×C59semidirect
975. C59#36844direct (N × H)

Maximal subgroups

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

subgroupindex
C59×#28532
C59×#28502
C59×#28032
C59×#27812
C59×#27782
C59×#27672
C59×#27462
C59×#27432
C59×#27322
C59×#27102
C59×#27062
C59×#26992
C59×#26962
C59×#26932
C59×#26882
C59×#26762
C59×#26732
C59×#26362
C59×#26352
C59×#25292
C59×#25272
C59×#24882
C59×#24682
C59×#24672
C59×#24642
C59×#24562
C59×#24442
C59×#23282
C59×#23252
C4×#121×C592
#3684459