Finite Group Databasebeta

← C59×#36835 #28448944

Subgroups — C59×#36835 #28448944

Order 15104.

1610 conjugacy classes of subgroups.

The subgroup lattice has 1392 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C59×#2851C211yesmaximal, characteristic, complemented
2C59×#2850C211yesmaximal, characteristic
3C59×#2784C211yesmaximal, characteristic, complemented
4C59×#2781C211yesmaximal, characteristic, complemented
5C59×#2780C211yesmaximal, characteristic, complemented
6C59×#2779C211yesmaximal, characteristic, complemented
7C59×#2772C211yesmaximal, characteristic, complemented
8C59×#2768C211yesmaximal, characteristic, complemented
9C59×#2767C211yesmaximal, characteristic, complemented
10C59×#2729C211yesmaximal, characteristic, complemented
11C59×#2725C211yesmaximal, characteristic, complemented
12C59×#2720C211yesmaximal, characteristic, complemented
13C59×#2720C211yesmaximal, characteristic, complemented
14C59×#2719C211yesmaximal, characteristic, complemented
15C59×#2715C211yesmaximal, characteristic, complemented
16C59×#2711C211yesmaximal, characteristic
17C59×#2708C211yesmaximal, characteristic
18C59×#2674C211yesmaximal, characteristic, complemented
19C59×#2654C211yesmaximal, characteristic, complemented
20C59×#2650C211yesmaximal, characteristic, complemented
21C59×#2609C211yesmaximal, characteristic, complemented
22C59×#2601C211yesmaximal, characteristic, complemented
23C59×#2601C211yesmaximal, characteristic, complemented
24C59×#2588C211yesmaximal, characteristic, complemented
25C59×#2558C211yesmaximal, characteristic, complemented
26C59×#2550C211yesmaximal, characteristic, complemented
27C59×#2479C211yesmaximal, characteristic, complemented
28C59×#2477C211yesmaximal, characteristic, complemented
29C59×#2334C211yesmaximal, characteristic, complemented
30C59×#2314C211yesmaximal, characteristic, complemented
31C59×#2296C211yesmaximal, characteristic, complemented
32C2×C4⋊Q8×C59C2211yescharacteristic
33C2×#126×C59C2211yescharacteristic
34C2×#126×C59C2211yescharacteristic
35C2×#125×C59C2211yescharacteristic
36C2×#125×C59C2211yescharacteristic
37C2×#125×C59C2211yescharacteristic
38C2×#124×C59C2211yescharacteristic
39C2×#123×C59C2211yescharacteristic
40C2×C22⋊Q8×C59C2211yescharacteristic
41C2×C22⋊Q8×C59C2211yescharacteristic
42C2×#121×C59C2211yescharacteristic
43C2×#117×C59C2211yescharacteristic
44C2×#117×C59C2211yescharacteristic
45C2×#117×C59C2211yescharacteristic
46C22×C42×C59C2211yescharacteristic
47C59×#400C2211yescharacteristic
48C59×#400C2211yescharacteristic
49C59×#400C2211yescharacteristic
50C59×#400C2211yescharacteristic
51C59×#400C2211yescharacteristic
52C59×#400C2211yescharacteristic
53C59×#400C2211yescharacteristic
54C59×#400C2211yescharacteristic
55C59×#400C2211yescharacteristic
56C59×#399C2211yescharacteristic
57C59×#399C2211yescharacteristic
58C59×#399C2211yescharacteristic
59C59×#398C2211yescharacteristic
60C59×#398C2211yescharacteristic
61C59×#398C2211yescharacteristic
62C59×#398C2211yescharacteristic
63C59×#398C2211yescharacteristic
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×#396C2211yescharacteristic
78C59×#396C2211yescharacteristic
79C59×#396C2211yescharacteristic
80C59×#396C2211yescharacteristic
81C59×#396C2211yescharacteristic
82C59×#396C2211yescharacteristic
83C59×#395C2211yescharacteristic
84C59×#395C2211yescharacteristic
85C59×#395C2211yescharacteristic
86C59×#395C2211yescharacteristic
87C59×#394C2211yescharacteristic
88C59×#394C2211yescharacteristic
89C59×#394C2211yescharacteristic
90C59×#394C2211yescharacteristic
91C59×#394C2211yescharacteristic
92C59×#394C2211yescharacteristic
93C59×#393C2211yescharacteristic
94C59×#393C2211yescharacteristic
95C59×#391C2211yescharacteristic
96C59×#391C2211yescharacteristic
97C59×#391C2211yescharacteristic
98C59×#390C2211yescharacteristic
99C59×#390C2211yescharacteristic
100C59×#390C2211yescharacteristic
101C59×#389C2211yescharacteristic
102C59×#389C2211yescharacteristic
103C59×#389C2211yescharacteristic
104C59×#389C2211yescharacteristic
105C59×#389C2211yescharacteristic
106C59×#389C2211yescharacteristic
107C59×#389C2211yescharacteristic
108C59×#389C2211yescharacteristic
109C59×#389C2211yescharacteristic
110C59×#389C2211yescharacteristic
111C59×#389C2211yescharacteristic
112C59×#389C2211yescharacteristic
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×#388C2211yescharacteristic
130C59×#388C2211yescharacteristic
131C59×#388C2211yescharacteristic
132C59×#388C2211yescharacteristic
133C59×#387C2211yescharacteristic
134C59×#387C2211yescharacteristic
135C59×#387C2211yescharacteristic
136C59×#387C2211yescharacteristic
137C59×#387C2211yescharacteristic
138C59×#387C2211yescharacteristic
139C59×#387C2211yescharacteristic
140C59×#387C2211yescharacteristic
141C59×#387C2211yescharacteristic
142C59×#387C2211yescharacteristic
143C59×#387C2211yescharacteristic
144C59×#387C2211yescharacteristic
145C59×#387C2211yescharacteristic
146C59×#387C2211yescharacteristic
147C59×#387C2211yescharacteristic
148C59×#387C2211yescharacteristic
149C59×#387C2211yescharacteristic
150C59×#387C2211yescharacteristic
151C59×#386C2211yescharacteristic
152C59×#386C2211yescharacteristic
153C59×#386C2211yescharacteristic
154C59×#386C2211yescharacteristic
155C59×#386C2211yescharacteristic
156C59×#386C2211yescharacteristic
157C59×#386C2211yescharacteristic
158C59×#385C2211yescharacteristic
159C59×#385C2211yescharacteristic
160C59×#385C2211yescharacteristic
161C59×#385C2211yescharacteristic
162C59×#385C2211yescharacteristic
163C59×#385C2211yescharacteristic
164C59×#385C2211yescharacteristic
165C59×#385C2211yescharacteristic
166C59×#385C2211yescharacteristic
167C59×#385C2211yescharacteristic
168C59×#385C2211yescharacteristic
169C59×#385C2211yescharacteristic
170C59×#385C2211yescharacteristic
171C59×#384C2211yescharacteristic
172C59×#382C2211yescharacteristic
173C59×#382C2211yescharacteristic
174C59×#382C2211yescharacteristic
175C59×#382C2211yescharacteristic
176C59×#380C2211yescharacteristic
177C59×#380C2211yescharacteristic
178C59×#380C2211yescharacteristic
179C59×#380C2211yescharacteristic
180C4×C4⋊C4×C59C2211yescharacteristic
181C4×C4⋊C4×C59C2211yescharacteristic
182C4×C4⋊C4×C59C2211yescharacteristic
183C4×C4⋊C4×C59C2211yescharacteristic
184C4×C4⋊C4×C59C2211yescharacteristic
185C4×C4⋊C4×C59C2211yescharacteristic
186C4×C22⋊C4×C59C2211yescharacteristic
187C22×Q8×C59C2311yescharacteristic
188C22×Q8×C59C2311yescharacteristic
189C22×D4×C59C2311yescharacteristic
190C22×D4×C59C2311yescharacteristic
191C22×D4×C59C2311yescharacteristic
192C23×C4×C59C2311yescharacteristic
193C23×C4×C59C2311yescharacteristic
194C23×C4×C59C2311yescharacteristic
195C23×C4×C59C2311yescharacteristic
196C23×C4×C59C2311yescharacteristic
197C4⋊Q8×C59—42no—
198#126×C59—24no—
199#126×C59—42no—
200#125×C59—42no—
201#125×C59—42no—
202#125×C59—42no—
203#124×C59—42no—
204#123×C59—42no—
205C22⋊Q8×C59—42no—
206C22⋊Q8×C59—42no—
207#121×C59—42no—
208#117×C59—24no—
209#117×C59—24no—
210#117×C59—42no—
211C2×C4⋊C4×C59C2311yescharacteristic
212C2×C4⋊C4×C59C2311yescharacteristic
213C2×C4⋊C4×C59C2311yescharacteristic
214C2×C4⋊C4×C59C2311yescharacteristic
215C2×C4⋊C4×C59C2311yescharacteristic
216C2×C4⋊C4×C59C2311yescharacteristic
217C2×C4⋊C4×C59C2311yescharacteristic
218C2×C4⋊C4×C59C2311yescharacteristic
219C2×C4⋊C4×C59C2311yescharacteristic
220C2×C4⋊C4×C59C2311yescharacteristic
221C2×C4⋊C4×C59C2311yescharacteristic
222C2×C4⋊C4×C59C2311yescharacteristic
223C2×C4⋊C4×C59C2311yescharacteristic
224C2×C4⋊C4×C59C2311yescharacteristic
225C2×C4⋊C4×C59C2311yescharacteristic
226C2×C4⋊C4×C59C2311yescharacteristic
227C2×C4⋊C4×C59C2311yescharacteristic
228C2×C4⋊C4×C59C2311yescharacteristic
229C2×C4⋊C4×C59C2311yescharacteristic
230C2×C4⋊C4×C59C2311yescharacteristic
231C2×C4⋊C4×C59C2311yescharacteristic
232C2×C4⋊C4×C59C2311yescharacteristic
233C2×C4⋊C4×C59C2311yescharacteristic
234C2×C4⋊C4×C59C2311yescharacteristic
235C2×C4⋊C4×C59C2311yescharacteristic
236C2×C4⋊C4×C59C2311yescharacteristic
237C2×C4⋊C4×C59C2311yescharacteristic
238C2×C4⋊C4×C59C2311yescharacteristic
239C2×C4⋊C4×C59C2311yescharacteristic
240C2×C4⋊C4×C59C2311yescharacteristic
241C2×C4⋊C4×C59C2311yescharacteristic
242C2×C4⋊C4×C59C2311yescharacteristic
243C2×C4⋊C4×C59C2311yescharacteristic
244C2×C4⋊C4×C59C2311yescharacteristic
245C2×C4⋊C4×C59C2311yescharacteristic
246C2×C4⋊C4×C59C2311yescharacteristic
247C2×C4⋊C4×C59C2311yescharacteristic
248C2×C4⋊C4×C59C2311yescharacteristic
249C2×C4⋊C4×C59C2311yescharacteristic
250C2×C4⋊C4×C59C2311yescharacteristic
251C2×C4⋊C4×C59C2311yescharacteristic
252C2×C4⋊C4×C59C2311yescharacteristic
253C2×C4⋊C4×C59C2311yescharacteristic
254C2×C4⋊C4×C59C2311yescharacteristic
255C2×C4⋊C4×C59C2311yescharacteristic
256C2×C4⋊C4×C59C2311yescharacteristic
257C2×C4⋊C4×C59C2311yescharacteristic
258C2×C22⋊C4×C59C2311yescharacteristic
259C2×C22⋊C4×C59C2311yescharacteristic
260C2×C22⋊C4×C59C2311yescharacteristic
261C2×C22⋊C4×C59C2311yescharacteristic
262C2×C22⋊C4×C59C2311yescharacteristic
263C2×C22⋊C4×C59C2311yescharacteristic
264C2×C22⋊C4×C59C2311yescharacteristic
265C2×C22⋊C4×C59C2311yescharacteristic
266C2×C22⋊C4×C59C2311yescharacteristic
267C2×C22⋊C4×C59C2311yescharacteristic
268C2×C22⋊C4×C59C2311yescharacteristic
269C2×C22⋊C4×C59C2311yescharacteristic
270C2×C22⋊C4×C59C2311yescharacteristic
271C2×C22⋊C4×C59C2311yescharacteristic
272C2×C22⋊C4×C59C2311yescharacteristic
273C2×C22⋊C4×C59C2311yescharacteristic
274C2×C22⋊C4×C59C2311yescharacteristic
275C2×C22⋊C4×C59C2311yescharacteristic
276C2×C22⋊C4×C59C2311yescharacteristic
277C2×C22⋊C4×C59C2311yescharacteristic
278C2×C22⋊C4×C59C2311yescharacteristic
279C2×C22⋊C4×C59C2311yescharacteristic
280C2×C22⋊C4×C59C2311yescharacteristic
281C2×C22⋊C4×C59C2311yescharacteristic
282C2×C22⋊C4×C59C2311yescharacteristic
283C2×C22⋊C4×C59C2311yescharacteristic
284C2×C22⋊C4×C59C2311yescharacteristic
285C2×C22⋊C4×C59C2311yescharacteristic
286C2×C22⋊C4×C59C2311yescharacteristic
287C2×C22⋊C4×C59C2311yescharacteristic
288C2×C22⋊C4×C59C2311yescharacteristic
289C2×C22⋊C4×C59C2311yescharacteristic
290C2×C22⋊C4×C59C2311yescharacteristic
291C2×C22⋊C4×C59C2311yescharacteristic
292C2×C42×C59—42no—
293C2×C42×C59C2311yescharacteristic
294C2×C42×C59C2311yescharacteristic
295C2×C42×C59C2311yescharacteristic
296C2×C42×C59C2311yescharacteristic
297C2×C42×C59C2311yescharacteristic
298C2×C42×C59C2311yescharacteristic
299C2×C42×C59C2311yescharacteristic
300C2×C42×C59C2311yescharacteristic
301C2×C42×C59C2311yescharacteristic
302C2×C42×C59C2311yescharacteristic
303C2×C42×C59C2311yescharacteristic
304C2×C42×C59C2311yescharacteristic
305C2×C42×C59C2311yescharacteristic
306C2×C42×C59C2311yescharacteristic
307#95×C59C2311yescharacteristic
308#95×C59C2311yescharacteristic
309#95×C59C2311yescharacteristic
310#95×C59C2311yescharacteristic
311#95×C59C2311yescharacteristic
312#95×C59C2311yescharacteristic
313#95×C59C2311yescharacteristic
314#95×C59C2311yescharacteristic
315#95×C59C2311yescharacteristic
316#95×C59C2311yescharacteristic
317#95×C59C2311yescharacteristic
318#95×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
357C24×C59C2411yescharacteristic
358C24×C59C2411yescharacteristic
359C24×C59C2411yescharacteristic
360C2×Q8×C59—22no—
361C2×Q8×C59—41no—
362C2×Q8×C59—41no—
363C2×Q8×C59—41no—
364C2×Q8×C59—41no—
365C2×Q8×C59—41no—
366C2×D4×C59—22no—
367C2×D4×C59—22no—
368C2×D4×C59—22no—
369C2×D4×C59—41no—
370C2×D4×C59—41no—
371C2×D4×C59—41no—
372C2×D4×C59—41no—
373C2×D4×C59—41no—
374C2×D4×C59—41no—
375C22×C4×C59—22no—
376C22×C4×C59—22no—
377C22×C4×C59—22no—
378C22×C4×C59—22no—
379C22×C4×C59—22no—
380C22×C4×C59—22no—
381C22×C4×C59—41no—
382C22×C4×C59—41no—
383C22×C4×C59—41no—
384C22×C4×C59—41no—
385C22×C4×C59—41no—
386C22×C4×C59—41no—
387C22×C4×C59—41no—
388C22×C4×C59—41no—
389C22×C4×C59—41no—
390C22×C4×C59C2411yescharacteristic
391C22×C4×C59C2411yescharacteristic
392C22×C4×C59C2411yescharacteristic
393C22×C4×C59C2411yescharacteristic
394C22×C4×C59C2411yescharacteristic
395C22×C4×C59C2411yescharacteristic
396C22×C4×C59C2411yescharacteristic
397C22×C4×C59C2411yescharacteristic
398C22×C4×C59C2411yescharacteristic
399C22×C4×C59C2411yescharacteristic
400C22×C4×C59C2411yescharacteristic
401C22×C4×C59C2411yescharacteristic
402C22×C4×C59C2411yescharacteristic
403C22×C4×C59C2411yescharacteristic
404C22×C4×C59C2411yescharacteristic
405C22×C4×C59C2411yescharacteristic
406C22×C4×C59C2411yescharacteristic
407C22×C4×C59C2411yescharacteristic
408C22×C4×C59C2411yescharacteristic
409C22×C4×C59C2411yescharacteristic
410C22×C4×C59C2411yescharacteristic
411C22×C4×C59C2411yescharacteristic
412C22×C4×C59C2411yescharacteristic
413C22×C4×C59C2411yescharacteristic
414C22×C4×C59C2411yescharacteristic
415C22×C4×C59C2411yescharacteristic
416C22×C4×C59C2411yescharacteristic
417C22×C4×C59C2411yescharacteristic
418C4⋊C4×C59—22no—
419C4⋊C4×C59—22no—
420C4⋊C4×C59—22no—
421C4⋊C4×C59—22no—
422C4⋊C4×C59—22no—
423C4⋊C4×C59—22no—
424C4⋊C4×C59—22no—
425C4⋊C4×C59—22no—
426C4⋊C4×C59—22no—
427C4⋊C4×C59—22no—
428C4⋊C4×C59—22no—
429C4⋊C4×C59—22no—
430C4⋊C4×C59—22no—
431C4⋊C4×C59—22no—
432C4⋊C4×C59—22no—
433C4⋊C4×C59—22no—
434C4⋊C4×C59—22no—
435C4⋊C4×C59—22no—
436C4⋊C4×C59—22no—
437C4⋊C4×C59—41no—
438C4⋊C4×C59—41no—
439C4⋊C4×C59—41no—
440C4⋊C4×C59—41no—
441C4⋊C4×C59—41no—
442C4⋊C4×C59—41no—
443C4⋊C4×C59—41no—
444C4⋊C4×C59—41no—
445C4⋊C4×C59—41no—
446C4⋊C4×C59—41no—
447C4⋊C4×C59—41no—
448C4⋊C4×C59—41no—
449C4⋊C4×C59—41no—
450C4⋊C4×C59—41no—
451C4⋊C4×C59—41no—
452C4⋊C4×C59—41no—
453C4⋊C4×C59—41no—
454C4⋊C4×C59—41no—
455C4⋊C4×C59—41no—
456C4⋊C4×C59—41no—
457C4⋊C4×C59—41no—
458C4⋊C4×C59—41no—
459C4⋊C4×C59—41no—
460C4⋊C4×C59—41no—
461C4⋊C4×C59—41no—
462C4⋊C4×C59—41no—
463C4⋊C4×C59—41no—
464C4⋊C4×C59—41no—
465C22⋊C4×C59—22no—
466C22⋊C4×C59—22no—
467C22⋊C4×C59—22no—
468C22⋊C4×C59—22no—
469C22⋊C4×C59—22no—
470C22⋊C4×C59—22no—
471C22⋊C4×C59—22no—
472C22⋊C4×C59—22no—
473C22⋊C4×C59—22no—
474C22⋊C4×C59—22no—
475C22⋊C4×C59—22no—
476C22⋊C4×C59—22no—
477C22⋊C4×C59—22no—
478C22⋊C4×C59—41no—
479C22⋊C4×C59—41no—
480C22⋊C4×C59—41no—
481C22⋊C4×C59—41no—
482C22⋊C4×C59—41no—
483C22⋊C4×C59—41no—
484C22⋊C4×C59—41no—
485C22⋊C4×C59—41no—
486C22⋊C4×C59—41no—
487C22⋊C4×C59—41no—
488C22⋊C4×C59—41no—
489C22⋊C4×C59—41no—
490C22⋊C4×C59—41no—
491C22⋊C4×C59—41no—
492C22⋊C4×C59—41no—
493C22⋊C4×C59—41no—
494C22⋊C4×C59—41no—
495C22⋊C4×C59—41no—
496C22⋊C4×C59—41no—
497C22⋊C4×C59—41no—
498C22⋊C4×C59—41no—
499C42×C59—22no—
500C42×C59—22no—
501C42×C59—22no—
502C42×C59—22no—
503C42×C59—41no—
504C42×C59—41no—
505C42×C59—41no—
506C42×C59—41no—
507C42×C59—41no—
508C42×C59—41no—
509C42×C59—41no—
510C42×C59—41no—
511C42×C59—41no—
512C42×C59#4114yes—
513C23×C59—21no—
514C23×C59—21no—
515C23×C59—21no—
516C23×C59—21no—
517C23×C59—21no—
518C23×C59—21no—
519C23×C59—21no—
520C23×C59—21no—
521C23×C59—21no—
522C23×C59—21no—
523C23×C59—21no—
524C23×C59—21no—
525C23×C59—21no—
526C23×C59—21no—
527C23×C59—21no—
528C23×C59—21no—
529C23×C59—21no—
530C23×C59—21no—
531C23×C59—21no—
532C23×C59—21no—
533C23×C592−1+412yes—
534C23×C59C2511yescharacteristic
535Q8×C59—82no—
536Q8×C59—82no—
537D4×C59—82no—
538D4×C59—82no—
539D4×C59—82no—
540C2×C4×C59—28no—
541C2×C4×C59—21no—
542C2×C4×C59—21no—
543C2×C4×C59—21no—
544C2×C4×C59—21no—
545C2×C4×C59—21no—
546C2×C4×C59—21no—
547C2×C4×C59—21no—
548C2×C4×C59—21no—
549C2×C4×C59—21no—
550C2×C4×C59—21no—
551C2×C4×C59—21no—
552C2×C4×C59—21no—
553C2×C4×C59—21no—
554C2×C4×C59—21no—
555C2×C4×C59—21no—
556C2×C4×C59—21no—
557C2×C4×C59—21no—
558C2×C4×C59—21no—
559C2×C4×C59—21no—
560C2×C4×C59—21no—
561C2×C4×C59—21no—
562C2×C4×C59—21no—
563C2×C4×C59—21no—
564C2×C4×C59—21no—
565C2×C4×C59—21no—
566C2×C4×C59—21no—
567C2×C4×C59—21no—
568C2×C4×C59—21no—
569C2×C4×C59—21no—
570C2×C4×C59—21no—
571C2×C4×C59—21no—
572C2×C4×C59—21no—
573C2×C4×C59—21no—
574C2×C4×C59—21no—
575C2×C4×C59—21no—
576C2×C4×C59—21no—
577C2×C4×C59—21no—
578C2×C4×C59—21no—
579C2×C4×C59—21no—
580C2×C4×C59—21no—
581C2×C4×C59—21no—
582C2×C4×C59—21no—
583C2×C4×C59—21no—
584C2×C4×C59—21no—
585C2×C4×C59—21no—
586C2×C4×C59—21no—
587C2×C4×C59—21no—
588C2×C4×C59—21no—
589C2×C4×C59—21no—
590C2×C4×C59—21no—
591C2×C4×C59—21no—
592C2×C4×C59—21no—
593C2×C4×C59—21no—
594C2×C4×C59—21no—
595C2×C4×C59—21no—
596C2×C4×C59—21no—
597C2×C4×C59—21no—
598C2×C4×C59—21no—
599C2×C4×C59—21no—
600C2×C4×C59—21no—
601C2×C4×C59—21no—
602C2×C4×C59—21no—
603C2×C4×C59—21no—
604C2×C4×C59—21no—
605C2×C4×C59—21no—
606C2×C4×C59—21no—
607C2×C4×C59—21no—
608C2×C4×C59—21no—
609C2×C4×C59—21no—
610C2×C4×C59—21no—
611C2×C4×C59—21no—
612C2×C4×C59—21no—
613C2×C4×C59—21no—
614C2×C4×C59—21no—
615C2×C4×C59—21no—
616C2×C4×C59—21no—
617C2×C4×C59—21no—
618C2×C4×C59—21no—
619C2×C4×C59—44no—
620C2×C4×C59—44no—
621C2×C4×C59—44no—
622C2×C4×C59—82no—
623C2×C4×C59C2×#4112yes—
624C2×C4×C59C2×#4112yes—
625C2×C4×C59C2×#4112yes—
626C2×C4×C59H(5,𝔽2)12yes—
627C2×C4×C59H(5,𝔽2)12yes—
628C2×C4×C592−1+412yes—
629#36835C5911yesmaximal, characteristic, direct product factor, Sylow
630C22×C59—22no—
631C22×C59—22no—
632C22×C59—22no—
633C22×C59—41no—
634C22×C59—41no—
635C22×C59—41no—
636C22×C59—41no—
637C22×C59—41no—
638C22×C59—41no—
639C22×C59—41no—
640C22×C59—41no—
641C22×C59—41no—
642C22×C59—41no—
643C22×C59—41no—
644C22×C59—41no—
645C22×C59—41no—
646C22×C59—41no—
647C22×C59—41no—
648C22×C59—41no—
649C22×C59—41no—
650C22×C59—41no—
651C22×C59C22×#4111yescharacteristic
652C22×C59C2×H(5,𝔽2)11yescharacteristic
653C22×C59C2×H(5,𝔽2)11yescharacteristic
654C22×C59C2×2−1+411yescharacteristic
655C22×C59C2×2−1+411yescharacteristic
656C22×C59#58511yescharacteristic
657C22×C59#58511yescharacteristic
658C4×C59—22no—
659C4×C59—22no—
660C4×C59—22no—
661C4×C59—22no—
662C4×C59—22no—
663C4×C59—22no—
664C4×C59—41no—
665C4×C59—41no—
666C4×C59—41no—
667C4×C59—41no—
668C4×C59—41no—
669C4×C59—41no—
670C4×C59—41no—
671C4×C59—41no—
672C4×C59—41no—
673C4×C59—41no—
674C4×C59—41no—
675C4×C59—41no—
676C4×C59—41no—
677C4×C59—41no—
678C4×C59—41no—
679C4×C59—41no—
680C4×C59—41no—
681C4×C59—41no—
682C4×C59—41no—
683C4×C59—41no—
684C4×C59—41no—
685C4×C59—41no—
686#2851C2×C5911yescharacteristic, complemented
687#2850C2×C5911yescharacteristic
688#2784C2×C5911yescharacteristic, complemented
689#2781C2×C5911yescharacteristic, complemented
690#2780C2×C5911yescharacteristic, complemented
691#2779C2×C5911yescharacteristic, complemented
692#2772C2×C5911yescharacteristic, complemented
693#2768C2×C5911yescharacteristic, complemented
694#2767C2×C5911yescharacteristic, complemented
695#2729C2×C5911yescharacteristic, complemented
696#2725C2×C5911yescharacteristic, complemented
697#2720C2×C5911yescharacteristic, complemented
698#2720C2×C5911yescharacteristic, complemented
699#2719C2×C5911yescharacteristic, complemented
700#2715C2×C5911yescharacteristic, complemented
701#2711C2×C5911yescharacteristic
702#2708C2×C5911yescharacteristic
703#2674C2×C5911yescharacteristic, complemented
704#2654C2×C5911yescharacteristic, complemented
705#2650C2×C5911yescharacteristic, complemented
706#2609C2×C5911yescharacteristic, complemented
707#2601C2×C5911yescharacteristic, complemented
708#2601C2×C5911yescharacteristic, complemented
709#2588C2×C5911yescharacteristic, complemented
710#2558C2×C5911yescharacteristic, complemented
711#2550C2×C5911yescharacteristic, complemented
712#2479C2×C5911yescharacteristic, complemented
713#2477C2×C5911yescharacteristic, complemented
714#2334C2×C5911yescharacteristic, complemented
715#2314C2×C5911yescharacteristic, complemented
716#2296C2×C5911yescharacteristic, complemented
717C2×C59—42no—
718C2×C59—81no—
719C2×C59—81no—
720C2×C59#345511yescharacteristic
721C2×C59#349211yescharacteristic
722C2×C59#351111yescharacteristic
723C2×C59#354111yescharacteristic
724C2×C59#354211yescharacteristic
725C2×C59#356111yescharacteristic
726C2×C59#356311yescharacteristic
727C2×C4⋊Q8C22×C5911yescharacteristic
728C2×#126C22×C5911yescharacteristic
729C2×#126C22×C5911yescharacteristic
730C2×#125C22×C5911yescharacteristic
731C2×#125C22×C5911yescharacteristic
732C2×#125C22×C5911yescharacteristic
733C2×#124C22×C5911yescharacteristic
734C2×#123C22×C5911yescharacteristic
735C2×C22⋊Q8C22×C5911yescharacteristic
736C2×C22⋊Q8C22×C5911yescharacteristic
737C2×#121C22×C5911yescharacteristic
738C2×#117C22×C5911yescharacteristic
739C2×#117C22×C5911yescharacteristic
740C2×#117C22×C5911yescharacteristic
741C22×C42C22×C5911yescharacteristic
742#400C22×C5911yescharacteristic
743#400C22×C5911yescharacteristic
744#400C22×C5911yescharacteristic
745#400C22×C5911yescharacteristic
746#400C22×C5911yescharacteristic
747#400C22×C5911yescharacteristic
748#400C22×C5911yescharacteristic
749#400C22×C5911yescharacteristic
750#400C22×C5911yescharacteristic
751#399C22×C5911yescharacteristic
752#399C22×C5911yescharacteristic
753#399C22×C5911yescharacteristic
754#398C22×C5911yescharacteristic
755#398C22×C5911yescharacteristic
756#398C22×C5911yescharacteristic
757#398C22×C5911yescharacteristic
758#398C22×C5911yescharacteristic
759#398C22×C5911yescharacteristic
760#398C22×C5911yescharacteristic
761#398C22×C5911yescharacteristic
762#398C22×C5911yescharacteristic
763#397C22×C5911yescharacteristic
764#397C22×C5911yescharacteristic
765#397C22×C5911yescharacteristic
766#397C22×C5911yescharacteristic
767#397C22×C5911yescharacteristic
768#396C22×C5911yescharacteristic
769#396C22×C5911yescharacteristic
770#396C22×C5911yescharacteristic
771#396C22×C5911yescharacteristic
772#396C22×C5911yescharacteristic
773#396C22×C5911yescharacteristic
774#396C22×C5911yescharacteristic
775#396C22×C5911yescharacteristic
776#396C22×C5911yescharacteristic
777#396C22×C5911yescharacteristic
778#395C22×C5911yescharacteristic
779#395C22×C5911yescharacteristic
780#395C22×C5911yescharacteristic
781#395C22×C5911yescharacteristic
782#394C22×C5911yescharacteristic
783#394C22×C5911yescharacteristic
784#394C22×C5911yescharacteristic
785#394C22×C5911yescharacteristic
786#394C22×C5911yescharacteristic
787#394C22×C5911yescharacteristic
788#393C22×C5911yescharacteristic
789#393C22×C5911yescharacteristic
790#391C22×C5911yescharacteristic
791#391C22×C5911yescharacteristic
792#391C22×C5911yescharacteristic
793#390C22×C5911yescharacteristic
794#390C22×C5911yescharacteristic
795#390C22×C5911yescharacteristic
796#389C22×C5911yescharacteristic
797#389C22×C5911yescharacteristic
798#389C22×C5911yescharacteristic
799#389C22×C5911yescharacteristic
800#389C22×C5911yescharacteristic
801#389C22×C5911yescharacteristic
802#389C22×C5911yescharacteristic
803#389C22×C5911yescharacteristic
804#389C22×C5911yescharacteristic
805#389C22×C5911yescharacteristic
806#389C22×C5911yescharacteristic
807#389C22×C5911yescharacteristic
808#388C22×C5911yescharacteristic
809#388C22×C5911yescharacteristic
810#388C22×C5911yescharacteristic
811#388C22×C5911yescharacteristic
812#388C22×C5911yescharacteristic
813#388C22×C5911yescharacteristic
814#388C22×C5911yescharacteristic
815#388C22×C5911yescharacteristic
816#388C22×C5911yescharacteristic
817#388C22×C5911yescharacteristic
818#388C22×C5911yescharacteristic
819#388C22×C5911yescharacteristic
820#388C22×C5911yescharacteristic
821#388C22×C5911yescharacteristic
822#388C22×C5911yescharacteristic
823#388C22×C5911yescharacteristic
824#388C22×C5911yescharacteristic
825#388C22×C5911yescharacteristic
826#388C22×C5911yescharacteristic
827#388C22×C5911yescharacteristic
828#387C22×C5911yescharacteristic
829#387C22×C5911yescharacteristic
830#387C22×C5911yescharacteristic
831#387C22×C5911yescharacteristic
832#387C22×C5911yescharacteristic
833#387C22×C5911yescharacteristic
834#387C22×C5911yescharacteristic
835#387C22×C5911yescharacteristic
836#387C22×C5911yescharacteristic
837#387C22×C5911yescharacteristic
838#387C22×C5911yescharacteristic
839#387C22×C5911yescharacteristic
840#387C22×C5911yescharacteristic
841#387C22×C5911yescharacteristic
842#387C22×C5911yescharacteristic
843#387C22×C5911yescharacteristic
844#387C22×C5911yescharacteristic
845#387C22×C5911yescharacteristic
846#386C22×C5911yescharacteristic
847#386C22×C5911yescharacteristic
848#386C22×C5911yescharacteristic
849#386C22×C5911yescharacteristic
850#386C22×C5911yescharacteristic
851#386C22×C5911yescharacteristic
852#386C22×C5911yescharacteristic
853#385C22×C5911yescharacteristic
854#385C22×C5911yescharacteristic
855#385C22×C5911yescharacteristic
856#385C22×C5911yescharacteristic
857#385C22×C5911yescharacteristic
858#385C22×C5911yescharacteristic
859#385C22×C5911yescharacteristic
860#385C22×C5911yescharacteristic
861#385C22×C5911yescharacteristic
862#385C22×C5911yescharacteristic
863#385C22×C5911yescharacteristic
864#385C22×C5911yescharacteristic
865#385C22×C5911yescharacteristic
866#384C22×C5911yescharacteristic
867#382C22×C5911yescharacteristic
868#382C22×C5911yescharacteristic
869#382C22×C5911yescharacteristic
870#382C22×C5911yescharacteristic
871#380C22×C5911yescharacteristic
872#380C22×C5911yescharacteristic
873#380C22×C5911yescharacteristic
874#380C22×C5911yescharacteristic
875C4×C4⋊C4C22×C5911yescharacteristic
876C4×C4⋊C4C22×C5911yescharacteristic
877C4×C4⋊C4C22×C5911yescharacteristic
878C4×C4⋊C4C22×C5911yescharacteristic
879C4×C4⋊C4C22×C5911yescharacteristic
880C4×C4⋊C4C22×C5911yescharacteristic
881C4×C22⋊C4C22×C5911yescharacteristic
882C59#3683511yescharacteristic, direct product factor, Sylow
883C22×Q8C23×C5911yescharacteristic
884C22×Q8C23×C5911yescharacteristic
885C22×D4C23×C5911yescharacteristic
886C22×D4C23×C5911yescharacteristic
887C22×D4C23×C5911yescharacteristic
888C23×C4C23×C5911yescharacteristic
889C23×C4C23×C5911yescharacteristic
890C23×C4C23×C5911yescharacteristic
891C23×C4C23×C5911yescharacteristic
892C23×C4C23×C5911yescharacteristic
893C4⋊Q8—42no—
894#126—24no—
895#126—42no—
896#125—42no—
897#125—42no—
898#125—42no—
899#124—42no—
900#123—42no—
901C22⋊Q8—42no—
902C22⋊Q8—42no—
903#121—42no—
904#117—24no—
905#117—24no—
906#117—42no—
907C2×C4⋊C4C23×C5911yescharacteristic
908C2×C4⋊C4C23×C5911yescharacteristic
909C2×C4⋊C4C23×C5911yescharacteristic
910C2×C4⋊C4C23×C5911yescharacteristic
911C2×C4⋊C4C23×C5911yescharacteristic
912C2×C4⋊C4C23×C5911yescharacteristic
913C2×C4⋊C4C23×C5911yescharacteristic
914C2×C4⋊C4C23×C5911yescharacteristic
915C2×C4⋊C4C23×C5911yescharacteristic
916C2×C4⋊C4C23×C5911yescharacteristic
917C2×C4⋊C4C23×C5911yescharacteristic
918C2×C4⋊C4C23×C5911yescharacteristic
919C2×C4⋊C4C23×C5911yescharacteristic
920C2×C4⋊C4C23×C5911yescharacteristic
921C2×C4⋊C4C23×C5911yescharacteristic
922C2×C4⋊C4C23×C5911yescharacteristic
923C2×C4⋊C4C23×C5911yescharacteristic
924C2×C4⋊C4C23×C5911yescharacteristic
925C2×C4⋊C4C23×C5911yescharacteristic
926C2×C4⋊C4C23×C5911yescharacteristic
927C2×C4⋊C4C23×C5911yescharacteristic
928C2×C4⋊C4C23×C5911yescharacteristic
929C2×C4⋊C4C23×C5911yescharacteristic
930C2×C4⋊C4C23×C5911yescharacteristic
931C2×C4⋊C4C23×C5911yescharacteristic
932C2×C4⋊C4C23×C5911yescharacteristic
933C2×C4⋊C4C23×C5911yescharacteristic
934C2×C4⋊C4C23×C5911yescharacteristic
935C2×C4⋊C4C23×C5911yescharacteristic
936C2×C4⋊C4C23×C5911yescharacteristic
937C2×C4⋊C4C23×C5911yescharacteristic
938C2×C4⋊C4C23×C5911yescharacteristic
939C2×C4⋊C4C23×C5911yescharacteristic
940C2×C4⋊C4C23×C5911yescharacteristic
941C2×C4⋊C4C23×C5911yescharacteristic
942C2×C4⋊C4C23×C5911yescharacteristic
943C2×C4⋊C4C23×C5911yescharacteristic
944C2×C4⋊C4C23×C5911yescharacteristic
945C2×C4⋊C4C23×C5911yescharacteristic
946C2×C4⋊C4C23×C5911yescharacteristic
947C2×C4⋊C4C23×C5911yescharacteristic
948C2×C4⋊C4C23×C5911yescharacteristic
949C2×C4⋊C4C23×C5911yescharacteristic
950C2×C4⋊C4C23×C5911yescharacteristic
951C2×C4⋊C4C23×C5911yescharacteristic
952C2×C4⋊C4C23×C5911yescharacteristic
953C2×C4⋊C4C23×C5911yescharacteristic
954C2×C22⋊C4C23×C5911yescharacteristic
955C2×C22⋊C4C23×C5911yescharacteristic
956C2×C22⋊C4C23×C5911yescharacteristic
957C2×C22⋊C4C23×C5911yescharacteristic
958C2×C22⋊C4C23×C5911yescharacteristic
959C2×C22⋊C4C23×C5911yescharacteristic
960C2×C22⋊C4C23×C5911yescharacteristic
961C2×C22⋊C4C23×C5911yescharacteristic
962C2×C22⋊C4C23×C5911yescharacteristic
963C2×C22⋊C4C23×C5911yescharacteristic
964C2×C22⋊C4C23×C5911yescharacteristic
965C2×C22⋊C4C23×C5911yescharacteristic
966C2×C22⋊C4C23×C5911yescharacteristic
967C2×C22⋊C4C23×C5911yescharacteristic
968C2×C22⋊C4C23×C5911yescharacteristic
969C2×C22⋊C4C23×C5911yescharacteristic
970C2×C22⋊C4C23×C5911yescharacteristic
971C2×C22⋊C4C23×C5911yescharacteristic
972C2×C22⋊C4C23×C5911yescharacteristic
973C2×C22⋊C4C23×C5911yescharacteristic
974C2×C22⋊C4C23×C5911yescharacteristic
975C2×C22⋊C4C23×C5911yescharacteristic
976C2×C22⋊C4C23×C5911yescharacteristic
977C2×C22⋊C4C23×C5911yescharacteristic
978C2×C22⋊C4C23×C5911yescharacteristic
979C2×C22⋊C4C23×C5911yescharacteristic
980C2×C22⋊C4C23×C5911yescharacteristic
981C2×C22⋊C4C23×C5911yescharacteristic
982C2×C22⋊C4C23×C5911yescharacteristic
983C2×C22⋊C4C23×C5911yescharacteristic
984C2×C22⋊C4C23×C5911yescharacteristic
985C2×C22⋊C4C23×C5911yescharacteristic
986C2×C22⋊C4C23×C5911yescharacteristic
987C2×C22⋊C4C23×C5911yescharacteristic
988C2×C42—42no—
989C2×C42C23×C5911yescharacteristic
990C2×C42C23×C5911yescharacteristic
991C2×C42C23×C5911yescharacteristic
992C2×C42C23×C5911yescharacteristic
993C2×C42C23×C5911yescharacteristic
994C2×C42C23×C5911yescharacteristic
995C2×C42C23×C5911yescharacteristic
996C2×C42C23×C5911yescharacteristic
997C2×C42C23×C5911yescharacteristic
998C2×C42C23×C5911yescharacteristic
999C2×C42C23×C5911yescharacteristic
1000C2×C42C23×C5911yescharacteristic
1001C2×C42C23×C5911yescharacteristic
1002C2×C42C23×C5911yescharacteristic
1003#95C23×C5911yescharacteristic
1004#95C23×C5911yescharacteristic
1005#95C23×C5911yescharacteristic
1006#95C23×C5911yescharacteristic
1007#95C23×C5911yescharacteristic
1008#95C23×C5911yescharacteristic
1009#95C23×C5911yescharacteristic
1010#95C23×C5911yescharacteristic
1011#95C23×C5911yescharacteristic
1012#95C23×C5911yescharacteristic
1013#95C23×C5911yescharacteristic
1014#95C23×C5911yescharacteristic
1015#95C23×C5911yescharacteristic
1016#95C23×C5911yescharacteristic
1017#95C23×C5911yescharacteristic
1018#95C23×C5911yescharacteristic
1019#95C23×C5911yescharacteristic
1020#95C23×C5911yescharacteristic
1021#95C23×C5911yescharacteristic
1022#95C23×C5911yescharacteristic
1023#95C23×C5911yescharacteristic
1024#95C23×C5911yescharacteristic
1025#95C23×C5911yescharacteristic
1026#95C23×C5911yescharacteristic
1027#95C23×C5911yescharacteristic
1028#95C23×C5911yescharacteristic
1029#95C23×C5911yescharacteristic
1030#95C23×C5911yescharacteristic
1031#95C23×C5911yescharacteristic
1032#95C23×C5911yescharacteristic
1033#95C23×C5911yescharacteristic
1034#95C23×C5911yescharacteristic
1035#95C23×C5911yescharacteristic
1036#95C23×C5911yescharacteristic
1037#95C23×C5911yescharacteristic
1038#95C23×C5911yescharacteristic
1039#95C23×C5911yescharacteristic
1040#95C23×C5911yescharacteristic
1041#95C23×C5911yescharacteristic
1042#95C23×C5911yescharacteristic
1043#95C23×C5911yescharacteristic
1044#95C23×C5911yescharacteristic
1045#95C23×C5911yescharacteristic
1046#95C23×C5911yescharacteristic
1047#95C23×C5911yescharacteristic
1048#95C23×C5911yescharacteristic
1049#95C23×C5911yescharacteristic
1050#95C23×C5911yescharacteristic
1051#95C23×C5911yescharacteristic
1052#95C23×C5911yescharacteristic
1053C24C24×C5911yescharacteristic
1054C24C24×C5911yescharacteristic
1055C24C24×C5911yescharacteristic
1056C2×Q8—22no—
1057C2×Q8—41no—
1058C2×Q8—41no—
1059C2×Q8—41no—
1060C2×Q8—41no—
1061C2×Q8—41no—
1062C2×D4—22no—
1063C2×D4—22no—
1064C2×D4—22no—
1065C2×D4—41no—
1066C2×D4—41no—
1067C2×D4—41no—
1068C2×D4—41no—
1069C2×D4—41no—
1070C2×D4—41no—
1071C22×C4—22no—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—41no—
1078C22×C4—41no—
1079C22×C4—41no—
1080C22×C4—41no—
1081C22×C4—41no—
1082C22×C4—41no—
1083C22×C4—41no—
1084C22×C4—41no—
1085C22×C4—41no—
1086C22×C4C24×C5911yescharacteristic
1087C22×C4C24×C5911yescharacteristic
1088C22×C4C24×C5911yescharacteristic
1089C22×C4C24×C5911yescharacteristic
1090C22×C4C24×C5911yescharacteristic
1091C22×C4C24×C5911yescharacteristic
1092C22×C4C24×C5911yescharacteristic
1093C22×C4C24×C5911yescharacteristic
1094C22×C4C24×C5911yescharacteristic
1095C22×C4C24×C5911yescharacteristic
1096C22×C4C24×C5911yescharacteristic
1097C22×C4C24×C5911yescharacteristic
1098C22×C4C24×C5911yescharacteristic
1099C22×C4C24×C5911yescharacteristic
1100C22×C4C24×C5911yescharacteristic
1101C22×C4C24×C5911yescharacteristic
1102C22×C4C24×C5911yescharacteristic
1103C22×C4C24×C5911yescharacteristic
1104C22×C4C24×C5911yescharacteristic
1105C22×C4C24×C5911yescharacteristic
1106C22×C4C24×C5911yescharacteristic
1107C22×C4C24×C5911yescharacteristic
1108C22×C4C24×C5911yescharacteristic
1109C22×C4C24×C5911yescharacteristic
1110C22×C4C24×C5911yescharacteristic
1111C22×C4C24×C5911yescharacteristic
1112C22×C4C24×C5911yescharacteristic
1113C22×C4C24×C5911yescharacteristic
1114C4⋊C4—22no—
1115C4⋊C4—22no—
1116C4⋊C4—22no—
1117C4⋊C4—22no—
1118C4⋊C4—22no—
1119C4⋊C4—22no—
1120C4⋊C4—22no—
1121C4⋊C4—22no—
1122C4⋊C4—22no—
1123C4⋊C4—22no—
1124C4⋊C4—22no—
1125C4⋊C4—22no—
1126C4⋊C4—22no—
1127C4⋊C4—22no—
1128C4⋊C4—22no—
1129C4⋊C4—22no—
1130C4⋊C4—22no—
1131C4⋊C4—22no—
1132C4⋊C4—22no—
1133C4⋊C4—41no—
1134C4⋊C4—41no—
1135C4⋊C4—41no—
1136C4⋊C4—41no—
1137C4⋊C4—41no—
1138C4⋊C4—41no—
1139C4⋊C4—41no—
1140C4⋊C4—41no—
1141C4⋊C4—41no—
1142C4⋊C4—41no—
1143C4⋊C4—41no—
1144C4⋊C4—41no—
1145C4⋊C4—41no—
1146C4⋊C4—41no—
1147C4⋊C4—41no—
1148C4⋊C4—41no—
1149C4⋊C4—41no—
1150C4⋊C4—41no—
1151C4⋊C4—41no—
1152C4⋊C4—41no—
1153C4⋊C4—41no—
1154C4⋊C4—41no—
1155C4⋊C4—41no—
1156C4⋊C4—41no—
1157C4⋊C4—41no—
1158C4⋊C4—41no—
1159C4⋊C4—41no—
1160C4⋊C4—41no—
1161C22⋊C4—22no—
1162C22⋊C4—22no—
1163C22⋊C4—22no—
1164C22⋊C4—22no—
1165C22⋊C4—22no—
1166C22⋊C4—22no—
1167C22⋊C4—22no—
1168C22⋊C4—22no—
1169C22⋊C4—22no—
1170C22⋊C4—22no—
1171C22⋊C4—22no—
1172C22⋊C4—22no—
1173C22⋊C4—22no—
1174C22⋊C4—41no—
1175C22⋊C4—41no—
1176C22⋊C4—41no—
1177C22⋊C4—41no—
1178C22⋊C4—41no—
1179C22⋊C4—41no—
1180C22⋊C4—41no—
1181C22⋊C4—41no—
1182C22⋊C4—41no—
1183C22⋊C4—41no—
1184C22⋊C4—41no—
1185C22⋊C4—41no—
1186C22⋊C4—41no—
1187C22⋊C4—41no—
1188C22⋊C4—41no—
1189C22⋊C4—41no—
1190C22⋊C4—41no—
1191C22⋊C4—41no—
1192C22⋊C4—41no—
1193C22⋊C4—41no—
1194C22⋊C4—41no—
1195C42—22no—
1196C42—22no—
1197C42—22no—
1198C42—22no—
1199C42—41no—
1200C42—41no—
1201C42—41no—
1202C42—41no—
1203C42—41no—
1204C42—41no—
1205C42—41no—
1206C42—41no—
1207C42—41no—
1208C42#41×C5914yes—
1209C23—21no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C232−1+4×C5912yes—
1230C23C25×C5911yescharacteristic
1231Q8—82no—
1232Q8—82no—
1233D4—82no—
1234D4—82no—
1235D4—82no—
1236C2×C4—28no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—44no—
1316C2×C4—44no—
1317C2×C4—44no—
1318C2×C4—82no—
1319C2×C4C2×#41×C5912yes—
1320C2×C4C2×#41×C5912yes—
1321C2×C4C2×#41×C5912yes—
1322C2×C4H(5,𝔽2)×C5912yes—
1323C2×C4H(5,𝔽2)×C5912yes—
1324C2×C42−1+4×C5912yes—
1325C22—22no—
1326C22—22no—
1327C22—22no—
1328C22—41no—
1329C22—41no—
1330C22—41no—
1331C22—41no—
1332C22—41no—
1333C22—41no—
1334C22—41no—
1335C22—41no—
1336C22—41no—
1337C22—41no—
1338C22—41no—
1339C22—41no—
1340C22—41no—
1341C22—41no—
1342C22—41no—
1343C22—41no—
1344C22—41no—
1345C22—41no—
1346C22C22×#41×C5911yescharacteristic
1347C22C2×H(5,𝔽2)×C5911yescharacteristic
1348C22C2×H(5,𝔽2)×C5911yescharacteristic
1349C22C2×2−1+4×C5911yescharacteristic
1350C22C2×2−1+4×C5911yescharacteristic
1351C22C59×#58511yescharacteristic
1352C22C59×#58511yescharacteristic
1353C4—22no—
1354C4—22no—
1355C4—22no—
1356C4—22no—
1357C4—22no—
1358C4—22no—
1359C4—41no—
1360C4—41no—
1361C4—41no—
1362C4—41no—
1363C4—41no—
1364C4—41no—
1365C4—41no—
1366C4—41no—
1367C4—41no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—41no—
1373C4—41no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C2—42no—
1382C2—81no—
1383C2—81no—
1384C2C59×#345511yescharacteristic
1385C2C59×#349211yescharacteristic
1386C2C59×#351111yescharacteristic
1387C2C59×#354111yescharacteristic
1388C2C59×#354211yescharacteristic
1389C2C59×#356111yescharacteristic
1390C2C59×#356311yescharacteristic
subgroupG/H
center, socleC23×C59C25
commutator, Frattini, cosocleC23C25×C59
prime radicalC2×#121×C59C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C59 ◁ G

Complements

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

NH ≅ G/Ntype
1. C59×#2851C2semidirect
3. C59×#2784C2semidirect
4. C59×#2781C2semidirect
5. C59×#2780C2semidirect
6. C59×#2779C2semidirect
7. C59×#2772C2semidirect
8. C59×#2768C2semidirect
9. C59×#2767C2semidirect
10. C59×#2729C2semidirect
11. C59×#2725C2semidirect
12. C59×#2720C2semidirect
13. C59×#2720C2semidirect
14. C59×#2719C2semidirect
15. C59×#2715C2semidirect
18. C59×#2674C2semidirect
19. C59×#2654C2semidirect
20. C59×#2650C2semidirect
21. C59×#2609C2semidirect
22. C59×#2601C2semidirect
23. C59×#2601C2semidirect
24. C59×#2588C2semidirect
25. C59×#2558C2semidirect
26. C59×#2550C2semidirect
27. C59×#2479C2semidirect
28. C59×#2477C2semidirect
29. C59×#2334C2semidirect
30. C59×#2314C2semidirect
31. C59×#2296C2semidirect
629. #36835C59direct (N × H)
686. #2851C2×C59semidirect
688. #2784C2×C59semidirect
689. #2781C2×C59semidirect
690. #2780C2×C59semidirect
691. #2779C2×C59semidirect
692. #2772C2×C59semidirect
693. #2768C2×C59semidirect
694. #2767C2×C59semidirect
695. #2729C2×C59semidirect
696. #2725C2×C59semidirect
697. #2720C2×C59semidirect
698. #2720C2×C59semidirect
699. #2719C2×C59semidirect
700. #2715C2×C59semidirect
703. #2674C2×C59semidirect
704. #2654C2×C59semidirect
705. #2650C2×C59semidirect
706. #2609C2×C59semidirect
707. #2601C2×C59semidirect
708. #2601C2×C59semidirect
709. #2588C2×C59semidirect
710. #2558C2×C59semidirect
711. #2550C2×C59semidirect
712. #2479C2×C59semidirect
713. #2477C2×C59semidirect
714. #2334C2×C59semidirect
715. #2314C2×C59semidirect
716. #2296C2×C59semidirect
882. C59#36835direct (N × H)

Maximal subgroups

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

subgroupindex
C59×#28512
C59×#28502
C59×#27842
C59×#27812
C59×#27802
C59×#27792
C59×#27722
C59×#27682
C59×#27672
C59×#27292
C59×#27252
C59×#27202
C59×#27192
C59×#27152
C59×#27112
C59×#27082
C59×#26742
C59×#26542
C59×#26502
C59×#26092
C59×#26012
C59×#25882
C59×#25582
C59×#25502
C59×#24792
C59×#24772
C59×#23342
C59×#23142
C59×#22962
#3683559