Finite Group Databasebeta

← C59×#35068 #28447177

Subgroups — C59×#35068 #28447177

Order 15104.

1968 conjugacy classes of subgroups.

The subgroup lattice has 1536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C59×#2865C211yesmaximal, characteristic, complemented
2C59×#2861C211yesmaximal, characteristic, complemented
3C59×#2854C211yesmaximal, characteristic, complemented
4C59×#2852C211yesmaximal, characteristic, complemented
5C59×#2654C211yesmaximal, characteristic, complemented
6C59×#2653C211yesmaximal, characteristic, complemented
7C59×#2651C211yesmaximal, characteristic, complemented
8C59×#2648C211yesmaximal, characteristic, complemented
9C59×#2595C211yesmaximal, characteristic, complemented
10C59×#2594C211yesmaximal, characteristic, complemented
11C59×#2558C211yesmaximal, characteristic, complemented
12C59×#2557C211yesmaximal, characteristic, complemented
13C59×#2532C211yesmaximal, characteristic, complemented
14C59×#2531C211yesmaximal, characteristic, complemented
15C59×#2510C211yesmaximal, characteristic, complemented
16C59×#2480C211yesmaximal, characteristic, complemented
17C59×#2479C211yesmaximal, characteristic, complemented
18C59×#2476C211yesmaximal, characteristic, complemented
19C59×#2473C211yesmaximal, characteristic, complemented
20C59×#2472C211yesmaximal, characteristic, complemented
21C59×#2450C211yesmaximal, characteristic, complemented
22C59×#2443C211yesmaximal, characteristic, complemented
23C59×#2424C211yesmaximal, characteristic
24C59×#2418C211yesmaximal, characteristic, complemented
25C59×#2329C211yesmaximal, characteristic, complemented
26C59×#2325C211yesmaximal, characteristic, complemented
27C59×#2321C211yesmaximal, characteristic, complemented
28C59×#2321C211yesmaximal, characteristic, complemented
29C59×#2290C211yesmaximal, characteristic, complemented
30C2×C59×#388C211yesmaximal, characteristic, complemented
31C42×D4×C59C211yesmaximal, characteristic, complemented
32C2×#126×C59C2211yescharacteristic
33C2×#125×C59C2211yescharacteristic, complemented
34C2×#124×C59C2211yescharacteristic
35C2×#123×C59C2211yescharacteristic
36C2×#123×C59C2211yescharacteristic, complemented
37C2×C22⋊Q8×C59C2211yescharacteristic
38C2×#121×C59C2211yescharacteristic
39C2×#121×C59C2211yescharacteristic
40C2×#120×C59C2211yescharacteristic
41C2×#120×C59C2211yescharacteristic
42C2×C4×D4×C59C2211yescharacteristic
43C2×C4×D4×C59C2211yescharacteristic
44C2×C4×D4×C59C2211yescharacteristic
45C2×C4×D4×C59C2211yescharacteristic
46C2×#117×C59C2211yescharacteristic, complemented
47C22×C4⋊C4×C59C2211yescharacteristic
48C22×C22⋊C4×C59C2211yescharacteristic
49C22×C22⋊C4×C59C2211yescharacteristic
50C22×C22⋊C4×C59C2211yescharacteristic
51C22×C42×C59C2211yescharacteristic
52C22×C42×C59C2211yescharacteristic, complemented
53C59×#401C2211yescharacteristic, complemented
54C59×#400C2211yescharacteristic, complemented
55C59×#400C2211yescharacteristic, complemented
56C59×#400C2211yescharacteristic, complemented
57C59×#399C2211yescharacteristic
58C59×#399C2211yescharacteristic, complemented
59C59×#398C2211yescharacteristic, complemented
60C59×#398C2211yescharacteristic, complemented
61C59×#398C2211yescharacteristic, complemented
62C59×#398C2211yescharacteristic, complemented
63C59×#398C2211yescharacteristic, complemented
64C59×#397C2211yescharacteristic
65C59×#397C2211yescharacteristic
66C59×#397C2211yescharacteristic
67C59×#397C2211yescharacteristic
68C59×#397C2211yescharacteristic
69C59×#397C2211yescharacteristic, complemented
70C59×#397C2211yescharacteristic, complemented
71C59×#397C2211yescharacteristic, complemented
72C59×#396C2211yescharacteristic
73C59×#396C2211yescharacteristic
74C59×#396C2211yescharacteristic, complemented
75C59×#394C2211yescharacteristic
76C59×#394C2211yescharacteristic
77C59×#394C2211yescharacteristic
78C59×#394C2211yescharacteristic
79C59×#394C2211yescharacteristic
80C59×#394C2211yescharacteristic
81C59×#394C2211yescharacteristic, complemented
82C59×#393C2211yescharacteristic
83C59×#393C2211yescharacteristic, complemented
84C59×#392C2211yescharacteristic
85C59×#391C2211yescharacteristic, complemented
86C59×#391C2211yescharacteristic, complemented
87C59×#391C2211yescharacteristic, complemented
88C59×#390C2211yescharacteristic
89C59×#390C2211yescharacteristic
90C59×#390C2211yescharacteristic
91C59×#390C2211yescharacteristic
92C59×#390C2211yescharacteristic
93C59×#390C2211yescharacteristic
94C59×#389C2211yescharacteristic, complemented
95C59×#389C2211yescharacteristic, complemented
96C59×#389C2211yescharacteristic, complemented
97C59×#388C2211yescharacteristic
98C59×#388C2211yescharacteristic
99C59×#388C2211yescharacteristic
100C59×#388C2211yescharacteristic
101C59×#388C2211yescharacteristic
102C59×#388C2211yescharacteristic
103C59×#388C2211yescharacteristic
104C59×#388C2211yescharacteristic
105C59×#388C2211yescharacteristic
106C59×#388C2211yescharacteristic
107C59×#388C2211yescharacteristic
108C59×#388C2211yescharacteristic
109C59×#388C2211yescharacteristic
110C59×#388C2211yescharacteristic
111C59×#388C2211yescharacteristic
112C59×#388C2211yescharacteristic
113C59×#388C2211yescharacteristic
114C59×#388C2211yescharacteristic
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×#387C2211yescharacteristic, complemented
138C59×#387C2211yescharacteristic, complemented
139C59×#387C2211yescharacteristic, complemented
140C59×#387C2211yescharacteristic, complemented
141C59×#386C2211yescharacteristic
142C59×#386C2211yescharacteristic
143C59×#386C2211yescharacteristic
144C59×#386C2211yescharacteristic
145C59×#386C2211yescharacteristic
146C59×#386C2211yescharacteristic
147C59×#386C2211yescharacteristic
148C59×#386C2211yescharacteristic
149C59×#386C2211yescharacteristic
150C59×#386C2211yescharacteristic
151C59×#386C2211yescharacteristic
152C59×#386C2211yescharacteristic
153C59×#386C2211yescharacteristic, complemented
154C59×#386C2211yescharacteristic, complemented
155C59×#385C2211yescharacteristic
156C59×#385C2211yescharacteristic
157C59×#385C2211yescharacteristic
158C59×#385C2211yescharacteristic
159C59×#385C2211yescharacteristic
160C59×#385C2211yescharacteristic
161C59×#385C2211yescharacteristic, complemented
162C59×#385C2211yescharacteristic, complemented
163C59×#385C2211yescharacteristic, complemented
164C59×#385C2211yescharacteristic, complemented
165C59×#383C2211yescharacteristic, complemented
166C59×#380C2211yescharacteristic
167C59×#380C2211yescharacteristic
168C59×#380C2211yescharacteristic, complemented
169C59×#379C2211yescharacteristic
170C59×#379C2211yescharacteristic
171C4×C4⋊C4×C59C2211yescharacteristic, complemented
172C4×C4⋊C4×C59C2211yescharacteristic, complemented
173C4×C4⋊C4×C59C2211yescharacteristic, complemented
174C4×C4⋊C4×C59C2211yescharacteristic, complemented
175C4×C22⋊C4×C59C2211yescharacteristic
176C4×C22⋊C4×C59C2211yescharacteristic
177C4×C22⋊C4×C59C2211yescharacteristic
178C4×C22⋊C4×C59C2211yescharacteristic
179C4×C22⋊C4×C59C2211yescharacteristic, complemented
180C4×C22⋊C4×C59C2211yescharacteristic, complemented
181C4×C22⋊C4×C59C2211yescharacteristic, complemented
182C4×C22⋊C4×C59C2211yescharacteristic, complemented
183C59×#376C2211yescharacteristic, complemented
184C2×#95×C59C2211yescharacteristic
185C2×#95×C59C2211yescharacteristic
186C43×C59C2211yescharacteristic, complemented
187C25×C59C2311yescharacteristic
188C22×Q8×C59C2311yescharacteristic
189C22×D4×C59C2311yescharacteristic
190C22×D4×C59C2311yescharacteristic
191C22×D4×C59C2311yescharacteristic
192C22×D4×C59C2311yescharacteristic
193C22×D4×C59C2311yescharacteristic
194C22×D4×C59C2311yescharacteristic
195C22×D4×C59C2311yescharacteristic
196C23×C4×C59C2311yescharacteristic
197C23×C4×C59C2311yescharacteristic
198C23×C4×C59C2311yescharacteristic
199C23×C4×C59C2311yescharacteristic
200C23×C4×C59C2311yescharacteristic
201C23×C4×C59C2311yescharacteristic
202C23×C4×C59C2311yescharacteristic
203C23×C4×C59C2311yescharacteristic
204C23×C4×C59C2311yescharacteristic
205C23×C4×C59C2311yescharacteristic
206#126×C59—42no—
207#125×C59—42no—
208#124×C59—42no—
209#123×C59—42no—
210#123×C59—42no—
211C22⋊Q8×C59—24no—
212#121×C59—24no—
213#121×C59—42no—
214#120×C59—24no—
215#120×C59—24no—
216C4×D4×C59—24no—
217C4×D4×C59—24no—
218C4×D4×C59—24no—
219C4×D4×C59—24no—
220#117×C59—42no—
221C2×C4⋊C4×C59—42no—
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×C22⋊C4×C59—24no—
251C2×C22⋊C4×C59—42no—
252C2×C22⋊C4×C59—42no—
253C2×C22⋊C4×C59C2311yescharacteristic
254C2×C22⋊C4×C59C2311yescharacteristic
255C2×C22⋊C4×C59C2311yescharacteristic
256C2×C22⋊C4×C59C2311yescharacteristic
257C2×C22⋊C4×C59C2311yescharacteristic
258C2×C22⋊C4×C59C2311yescharacteristic
259C2×C22⋊C4×C59C2311yescharacteristic
260C2×C22⋊C4×C59C2311yescharacteristic
261C2×C22⋊C4×C59C2311yescharacteristic
262C2×C22⋊C4×C59C2311yescharacteristic
263C2×C22⋊C4×C59C2311yescharacteristic
264C2×C22⋊C4×C59C2311yescharacteristic
265C2×C22⋊C4×C59C2311yescharacteristic
266C2×C22⋊C4×C59C2311yescharacteristic
267C2×C22⋊C4×C59C2311yescharacteristic
268C2×C22⋊C4×C59C2311yescharacteristic
269C2×C22⋊C4×C59C2311yescharacteristic
270C2×C22⋊C4×C59C2311yescharacteristic
271C2×C22⋊C4×C59C2311yescharacteristic
272C2×C22⋊C4×C59C2311yescharacteristic
273C2×C22⋊C4×C59C2311yescharacteristic
274C2×C22⋊C4×C59C2311yescharacteristic
275C2×C22⋊C4×C59C2311yescharacteristic
276C2×C22⋊C4×C59C2311yescharacteristic
277C2×C22⋊C4×C59C2311yescharacteristic
278C2×C22⋊C4×C59C2311yescharacteristic
279C2×C22⋊C4×C59C2311yescharacteristic
280C2×C22⋊C4×C59C2311yescharacteristic
281C2×C22⋊C4×C59C2311yescharacteristic
282C2×C22⋊C4×C59C2311yescharacteristic
283C2×C22⋊C4×C59C2311yescharacteristic
284C2×C22⋊C4×C59C2311yescharacteristic
285C2×C22⋊C4×C59C2311yescharacteristic
286C2×C22⋊C4×C59C2311yescharacteristic
287C2×C22⋊C4×C59C2311yescharacteristic
288C2×C22⋊C4×C59C2311yescharacteristic
289C2×C22⋊C4×C59C2311yescharacteristic
290C2×C22⋊C4×C59C2311yescharacteristic
291C2×C22⋊C4×C59C2311yescharacteristic
292C2×C22⋊C4×C59C2311yescharacteristic
293C2×C22⋊C4×C59C2311yescharacteristic
294C2×C22⋊C4×C59C2311yescharacteristic
295C2×C22⋊C4×C59C2311yescharacteristic
296C2×C22⋊C4×C59C2311yescharacteristic
297C2×C22⋊C4×C59C2311yescharacteristic
298C2×C22⋊C4×C59C2311yescharacteristic
299C2×C22⋊C4×C59C2311yescharacteristic
300C2×C22⋊C4×C59C2311yescharacteristic
301C2×C42×C59—42no—
302C2×C42×C59—42no—
303C2×C42×C59C2311yescharacteristic
304C2×C42×C59C2311yescharacteristic
305C2×C42×C59C2311yescharacteristic
306C2×C42×C59C2311yescharacteristic
307C2×C42×C59C2311yescharacteristic
308C2×C42×C59C2311yescharacteristic
309C2×C42×C59C2311yescharacteristic
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×C59—22no—
364C24×C59—22no—
365C24×C59—22no—
366C24×C59—41no—
367C24×C59—41no—
368C24×C59—41no—
369C24×C59—41no—
370C24×C59C2411yescharacteristic
371C24×C59C2411yescharacteristic
372C24×C59C2411yescharacteristic
373C24×C59C2411yescharacteristic
374C24×C59C2411yescharacteristic
375C2×Q8×C59—22no—
376C2×Q8×C59—41no—
377C2×Q8×C59—41no—
378C2×D4×C59—22no—
379C2×D4×C59—22no—
380C2×D4×C59—22no—
381C2×D4×C59—22no—
382C2×D4×C59—22no—
383C2×D4×C59—22no—
384C2×D4×C59—22no—
385C2×D4×C59—22no—
386C2×D4×C59—22no—
387C2×D4×C59—22no—
388C2×D4×C59—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#4114yes—
399C22×C4×C59—22no—
400C22×C4×C59—22no—
401C22×C4×C59—22no—
402C22×C4×C59—22no—
403C22×C4×C59—22no—
404C22×C4×C59—22no—
405C22×C4×C59—22no—
406C22×C4×C59—22no—
407C22×C4×C59—22no—
408C22×C4×C59—22no—
409C22×C4×C59—22no—
410C22×C4×C59—22no—
411C22×C4×C59—22no—
412C22×C4×C59—41no—
413C22×C4×C59—41no—
414C22×C4×C59—41no—
415C22×C4×C59—41no—
416C22×C4×C59—41no—
417C22×C4×C59—41no—
418C22×C4×C59—41no—
419C22×C4×C59—41no—
420C22×C4×C59—41no—
421C22×C4×C59—41no—
422C22×C4×C59—41no—
423C22×C4×C59—41no—
424C22×C4×C59—41no—
425C22×C4×C59—41no—
426C22×C4×C59—41no—
427C22×C4×C59—41no—
428C22×C4×C59#4114yes—
429C22×C4×C59C2411yescharacteristic
430C22×C4×C59C2411yescharacteristic
431C22×C4×C59C2411yescharacteristic
432C22×C4×C59C2411yescharacteristic
433C22×C4×C59C2411yescharacteristic
434C22×C4×C59C2411yescharacteristic
435C22×C4×C59C2411yescharacteristic
436C22×C4×C59C2411yescharacteristic
437C22×C4×C59C2411yescharacteristic
438C22×C4×C59C2411yescharacteristic
439C22×C4×C59C2411yescharacteristic
440C22×C4×C59C2411yescharacteristic
441C22×C4×C59C2411yescharacteristic
442C22×C4×C59C2411yescharacteristic
443C22×C4×C59C2411yescharacteristic
444C22×C4×C59C2411yescharacteristic
445C22×C4×C59C2411yescharacteristic
446C22×C4×C59C2411yescharacteristic
447C22×C4×C59C2411yescharacteristic
448C22×C4×C59C2411yescharacteristic
449C22×C4×C59C2411yescharacteristic
450C22×C4×C59C2411yescharacteristic
451C22×C4×C59C2411yescharacteristic
452C22×C4×C59C2411yescharacteristic
453C22×C4×C59C2411yescharacteristic
454C22×C4×C59C2411yescharacteristic
455C4⋊C4×C59—22no—
456C4⋊C4×C59—22no—
457C4⋊C4×C59—22no—
458C4⋊C4×C59—22no—
459C4⋊C4×C59—22no—
460C4⋊C4×C59—22no—
461C4⋊C4×C59—22no—
462C4⋊C4×C59—22no—
463C4⋊C4×C59—22no—
464C4⋊C4×C59—22no—
465C4⋊C4×C59—22no—
466C4⋊C4×C59—22no—
467C4⋊C4×C59—41no—
468C4⋊C4×C59—41no—
469C4⋊C4×C59—41no—
470C4⋊C4×C59—41no—
471C4⋊C4×C59—41no—
472C4⋊C4×C59—41no—
473C4⋊C4×C59—41no—
474C4⋊C4×C59—41no—
475C4⋊C4×C59—41no—
476C4⋊C4×C59—41no—
477C4⋊C4×C59—41no—
478C4⋊C4×C59—41no—
479C4⋊C4×C59—41no—
480C4⋊C4×C59—41no—
481C4⋊C4×C59—41no—
482C4⋊C4×C59—41no—
483C22⋊C4×C59—22no—
484C22⋊C4×C59—22no—
485C22⋊C4×C59—22no—
486C22⋊C4×C59—22no—
487C22⋊C4×C59—22no—
488C22⋊C4×C59—22no—
489C22⋊C4×C59—22no—
490C22⋊C4×C59—22no—
491C22⋊C4×C59—22no—
492C22⋊C4×C59—22no—
493C22⋊C4×C59—22no—
494C22⋊C4×C59—22no—
495C22⋊C4×C59—22no—
496C22⋊C4×C59—22no—
497C22⋊C4×C59—22no—
498C22⋊C4×C59—22no—
499C22⋊C4×C59—22no—
500C22⋊C4×C59—22no—
501C22⋊C4×C59—22no—
502C22⋊C4×C59—22no—
503C22⋊C4×C59—22no—
504C22⋊C4×C59—22no—
505C22⋊C4×C59—22no—
506C22⋊C4×C59—22no—
507C22⋊C4×C59—22no—
508C22⋊C4×C59—41no—
509C22⋊C4×C59—41no—
510C22⋊C4×C59—41no—
511C22⋊C4×C59—41no—
512C22⋊C4×C59—41no—
513C22⋊C4×C59—41no—
514C22⋊C4×C59—41no—
515C22⋊C4×C59—41no—
516C22⋊C4×C59—41no—
517C22⋊C4×C59—41no—
518C22⋊C4×C59—41no—
519C22⋊C4×C59—41no—
520C22⋊C4×C59—41no—
521C22⋊C4×C59—41no—
522C22⋊C4×C59—41no—
523C22⋊C4×C59—41no—
524C22⋊C4×C59—41no—
525C22⋊C4×C59—41no—
526C22⋊C4×C59—41no—
527C22⋊C4×C59—41no—
528C22⋊C4×C59—41no—
529C22⋊C4×C59—41no—
530C22⋊C4×C59#4114yes—
531C42×C59—22no—
532C42×C59—22no—
533C42×C59—22no—
534C42×C59—22no—
535C42×C59—22no—
536C42×C59—22no—
537C42×C59—22no—
538C42×C59—22no—
539C42×C59—41no—
540C42×C59—41no—
541C42×C59—41no—
542C42×C59—41no—
543C42×C59—41no—
544C42×C59—41no—
545C42×C59—41no—
546C42×C59—41no—
547C23×C59—21no—
548C23×C59—21no—
549C23×C59—21no—
550C23×C59—21no—
551C23×C59—21no—
552C23×C59—21no—
553C23×C59—21no—
554C23×C59—21no—
555C23×C59—21no—
556C23×C59—21no—
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—44no—
579C23×C59—44no—
580C23×C59—44no—
581C23×C59—82no—
582C23×C59—82no—
583C23×C59—82no—
584C23×C59—82no—
585C23×C59C2×#4112yes—
586C23×C59C2×#4112yes—
587C23×C59C2×#4112yes—
588C23×C59C2×#4112yes—
589C23×C59C2511yescharacteristic
590Q8×C59—82no—
591D4×C59—28no—
592D4×C59—44no—
593D4×C59—82no—
594D4×C59—82no—
595D4×C59—82no—
596D4×C59—82no—
597D4×C59—82no—
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—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—44no—
670C2×C4×C59—44no—
671C2×C4×C59—44no—
672C2×C4×C59—44no—
673C2×C4×C59—44no—
674C2×C4×C59—44no—
675C2×C4×C59—44no—
676C2×C4×C59—44no—
677C2×C4×C59—82no—
678C2×C4×C59—82no—
679C2×C4×C59C2×#4112yes—
680C2×C4×C59C2×#4112yes—
681C2×C4×C59C2×#4112yes—
682C2×C4×C59C2×#4112yes—
683C2×C4×C59C2×#4112yes—
684C2×C4×C59H(5,𝔽2)12yes—
685C2×C4×C59H(5,𝔽2)12yes—
686#35068C5911yesmaximal, characteristic, direct product factor, Sylow
687C22×C59—22no—
688C22×C59—22no—
689C22×C59—22no—
690C22×C59—22no—
691C22×C59—22no—
692C22×C59—22no—
693C22×C59—22no—
694C22×C59—22no—
695C22×C59—22no—
696C22×C59—41no—
697C22×C59—41no—
698C22×C59—41no—
699C22×C59—41no—
700C22×C59—41no—
701C22×C59—41no—
702C22×C59—41no—
703C22×C59—41no—
704C22×C59—41no—
705C22×C59—41no—
706C22×C59—41no—
707C22×C59—41no—
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—88no—
722C22×C59#52914yes—
723C22×C59C22×#4111yescharacteristic
724C22×C59C22×#4111yescharacteristic
725C22×C59C22×#4111yescharacteristic
726C22×C59C2×H(5,𝔽2)11yescharacteristic
727C22×C59C2×H(5,𝔽2)11yescharacteristic
728C22×C59#58511yescharacteristic
729C22×C59#58511yescharacteristic
730C4×C59—22no—
731C4×C59—22no—
732C4×C59—22no—
733C4×C59—22no—
734C4×C59—22no—
735C4×C59—22no—
736C4×C59—22no—
737C4×C59—41no—
738C4×C59—41no—
739C4×C59—41no—
740C4×C59—41no—
741C4×C59—41no—
742C4×C59—41no—
743C4×C59—41no—
744C4×C59—41no—
745C4×C59—41no—
746C4×C59—41no—
747C4×C59—41no—
748C4×C59—41no—
749C4×C59—41no—
750C4×C59—41no—
751C4×C59—41no—
752C4×C59—41no—
753C4×C59—41no—
754C4×C59—41no—
755C4×C59—41no—
756#2865C2×C5911yescharacteristic, complemented
757#2861C2×C5911yescharacteristic, complemented
758#2854C2×C5911yescharacteristic, complemented
759#2852C2×C5911yescharacteristic, complemented
760#2654C2×C5911yescharacteristic, complemented
761#2653C2×C5911yescharacteristic, complemented
762#2651C2×C5911yescharacteristic, complemented
763#2648C2×C5911yescharacteristic, complemented
764#2595C2×C5911yescharacteristic, complemented
765#2594C2×C5911yescharacteristic, complemented
766#2558C2×C5911yescharacteristic, complemented
767#2557C2×C5911yescharacteristic, complemented
768#2532C2×C5911yescharacteristic, complemented
769#2531C2×C5911yescharacteristic, complemented
770#2510C2×C5911yescharacteristic, complemented
771#2480C2×C5911yescharacteristic, complemented
772#2479C2×C5911yescharacteristic, complemented
773#2476C2×C5911yescharacteristic, complemented
774#2473C2×C5911yescharacteristic, complemented
775#2472C2×C5911yescharacteristic, complemented
776#2450C2×C5911yescharacteristic, complemented
777#2443C2×C5911yescharacteristic, complemented
778#2424C2×C5911yescharacteristic
779#2418C2×C5911yescharacteristic, complemented
780#2329C2×C5911yescharacteristic, complemented
781#2325C2×C5911yescharacteristic, complemented
782#2321C2×C5911yescharacteristic, complemented
783#2321C2×C5911yescharacteristic, complemented
784#2290C2×C5911yescharacteristic, complemented
785C2×#388C2×C5911yescharacteristic, complemented
786C42×D4C2×C5911yescharacteristic, complemented
787C2×C59—24no—
788C2×C59—42no—
789C2×C59—81no—
790C2×C59—81no—
791C2×C59—81no—
792C2×C59C2×#52911yescharacteristic
793C2×C59#345911yescharacteristic
794C2×C59#346011yescharacteristic
795C2×C59#351311yescharacteristic
796C2×C59#351411yescharacteristic
797C2×C59#351911yescharacteristic
798C2×C59#352111yescharacteristic
799C2×#126C22×C5911yescharacteristic
800C2×#125C22×C5911yescharacteristic, complemented
801C2×#124C22×C5911yescharacteristic
802C2×#123C22×C5911yescharacteristic
803C2×#123C22×C5911yescharacteristic, complemented
804C2×C22⋊Q8C22×C5911yescharacteristic
805C2×#121C22×C5911yescharacteristic
806C2×#121C22×C5911yescharacteristic
807C2×#120C22×C5911yescharacteristic
808C2×#120C22×C5911yescharacteristic
809C2×C4×D4C22×C5911yescharacteristic
810C2×C4×D4C22×C5911yescharacteristic
811C2×C4×D4C22×C5911yescharacteristic
812C2×C4×D4C22×C5911yescharacteristic
813C2×#117C22×C5911yescharacteristic, complemented
814C22×C4⋊C4C22×C5911yescharacteristic
815C22×C22⋊C4C22×C5911yescharacteristic
816C22×C22⋊C4C22×C5911yescharacteristic
817C22×C22⋊C4C22×C5911yescharacteristic
818C22×C42C22×C5911yescharacteristic
819C22×C42C22×C5911yescharacteristic, complemented
820#401C22×C5911yescharacteristic, complemented
821#400C22×C5911yescharacteristic, complemented
822#400C22×C5911yescharacteristic, complemented
823#400C22×C5911yescharacteristic, complemented
824#399C22×C5911yescharacteristic
825#399C22×C5911yescharacteristic, complemented
826#398C22×C5911yescharacteristic, complemented
827#398C22×C5911yescharacteristic, complemented
828#398C22×C5911yescharacteristic, complemented
829#398C22×C5911yescharacteristic, complemented
830#398C22×C5911yescharacteristic, complemented
831#397C22×C5911yescharacteristic
832#397C22×C5911yescharacteristic
833#397C22×C5911yescharacteristic
834#397C22×C5911yescharacteristic
835#397C22×C5911yescharacteristic
836#397C22×C5911yescharacteristic, complemented
837#397C22×C5911yescharacteristic, complemented
838#397C22×C5911yescharacteristic, complemented
839#396C22×C5911yescharacteristic
840#396C22×C5911yescharacteristic
841#396C22×C5911yescharacteristic, complemented
842#394C22×C5911yescharacteristic
843#394C22×C5911yescharacteristic
844#394C22×C5911yescharacteristic
845#394C22×C5911yescharacteristic
846#394C22×C5911yescharacteristic
847#394C22×C5911yescharacteristic
848#394C22×C5911yescharacteristic, complemented
849#393C22×C5911yescharacteristic
850#393C22×C5911yescharacteristic, complemented
851#392C22×C5911yescharacteristic
852#391C22×C5911yescharacteristic, complemented
853#391C22×C5911yescharacteristic, complemented
854#391C22×C5911yescharacteristic, complemented
855#390C22×C5911yescharacteristic
856#390C22×C5911yescharacteristic
857#390C22×C5911yescharacteristic
858#390C22×C5911yescharacteristic
859#390C22×C5911yescharacteristic
860#390C22×C5911yescharacteristic
861#389C22×C5911yescharacteristic, complemented
862#389C22×C5911yescharacteristic, complemented
863#389C22×C5911yescharacteristic, complemented
864#388C22×C5911yescharacteristic
865#388C22×C5911yescharacteristic
866#388C22×C5911yescharacteristic
867#388C22×C5911yescharacteristic
868#388C22×C5911yescharacteristic
869#388C22×C5911yescharacteristic
870#388C22×C5911yescharacteristic
871#388C22×C5911yescharacteristic
872#388C22×C5911yescharacteristic
873#388C22×C5911yescharacteristic
874#388C22×C5911yescharacteristic
875#388C22×C5911yescharacteristic
876#388C22×C5911yescharacteristic
877#388C22×C5911yescharacteristic
878#388C22×C5911yescharacteristic
879#388C22×C5911yescharacteristic
880#388C22×C5911yescharacteristic
881#388C22×C5911yescharacteristic
882#388C22×C5911yescharacteristic
883#388C22×C5911yescharacteristic
884#388C22×C5911yescharacteristic
885#388C22×C5911yescharacteristic
886#388C22×C5911yescharacteristic
887#388C22×C5911yescharacteristic
888#388C22×C5911yescharacteristic, complemented
889#388C22×C5911yescharacteristic, complemented
890#388C22×C5911yescharacteristic, complemented
891#388C22×C5911yescharacteristic, complemented
892#388C22×C5911yescharacteristic, complemented
893#388C22×C5911yescharacteristic, complemented
894#388C22×C5911yescharacteristic, complemented
895#387C22×C5911yescharacteristic, complemented
896#387C22×C5911yescharacteristic, complemented
897#387C22×C5911yescharacteristic, complemented
898#387C22×C5911yescharacteristic, complemented
899#387C22×C5911yescharacteristic, complemented
900#387C22×C5911yescharacteristic, complemented
901#387C22×C5911yescharacteristic, complemented
902#387C22×C5911yescharacteristic, complemented
903#387C22×C5911yescharacteristic, complemented
904#387C22×C5911yescharacteristic, complemented
905#387C22×C5911yescharacteristic, complemented
906#387C22×C5911yescharacteristic, complemented
907#387C22×C5911yescharacteristic, complemented
908#386C22×C5911yescharacteristic
909#386C22×C5911yescharacteristic
910#386C22×C5911yescharacteristic
911#386C22×C5911yescharacteristic
912#386C22×C5911yescharacteristic
913#386C22×C5911yescharacteristic
914#386C22×C5911yescharacteristic
915#386C22×C5911yescharacteristic
916#386C22×C5911yescharacteristic
917#386C22×C5911yescharacteristic
918#386C22×C5911yescharacteristic
919#386C22×C5911yescharacteristic
920#386C22×C5911yescharacteristic, complemented
921#386C22×C5911yescharacteristic, complemented
922#385C22×C5911yescharacteristic
923#385C22×C5911yescharacteristic
924#385C22×C5911yescharacteristic
925#385C22×C5911yescharacteristic
926#385C22×C5911yescharacteristic
927#385C22×C5911yescharacteristic
928#385C22×C5911yescharacteristic, complemented
929#385C22×C5911yescharacteristic, complemented
930#385C22×C5911yescharacteristic, complemented
931#385C22×C5911yescharacteristic, complemented
932#383C22×C5911yescharacteristic, complemented
933#380C22×C5911yescharacteristic
934#380C22×C5911yescharacteristic
935#380C22×C5911yescharacteristic, complemented
936#379C22×C5911yescharacteristic
937#379C22×C5911yescharacteristic
938C4×C4⋊C4C22×C5911yescharacteristic, complemented
939C4×C4⋊C4C22×C5911yescharacteristic, complemented
940C4×C4⋊C4C22×C5911yescharacteristic, complemented
941C4×C4⋊C4C22×C5911yescharacteristic, complemented
942C4×C22⋊C4C22×C5911yescharacteristic
943C4×C22⋊C4C22×C5911yescharacteristic
944C4×C22⋊C4C22×C5911yescharacteristic
945C4×C22⋊C4C22×C5911yescharacteristic
946C4×C22⋊C4C22×C5911yescharacteristic, complemented
947C4×C22⋊C4C22×C5911yescharacteristic, complemented
948C4×C22⋊C4C22×C5911yescharacteristic, complemented
949C4×C22⋊C4C22×C5911yescharacteristic, complemented
950#376C22×C5911yescharacteristic, complemented
951C2×#95C22×C5911yescharacteristic
952C2×#95C22×C5911yescharacteristic
953C43C22×C5911yescharacteristic, complemented
954C59#3506811yescharacteristic, direct product factor, Sylow
955C25C23×C5911yescharacteristic
956C22×Q8C23×C5911yescharacteristic
957C22×D4C23×C5911yescharacteristic
958C22×D4C23×C5911yescharacteristic
959C22×D4C23×C5911yescharacteristic
960C22×D4C23×C5911yescharacteristic
961C22×D4C23×C5911yescharacteristic
962C22×D4C23×C5911yescharacteristic
963C22×D4C23×C5911yescharacteristic
964C23×C4C23×C5911yescharacteristic
965C23×C4C23×C5911yescharacteristic
966C23×C4C23×C5911yescharacteristic
967C23×C4C23×C5911yescharacteristic
968C23×C4C23×C5911yescharacteristic
969C23×C4C23×C5911yescharacteristic
970C23×C4C23×C5911yescharacteristic
971C23×C4C23×C5911yescharacteristic
972C23×C4C23×C5911yescharacteristic
973C23×C4C23×C5911yescharacteristic
974#126—42no—
975#125—42no—
976#124—42no—
977#123—42no—
978#123—42no—
979C22⋊Q8—24no—
980#121—24no—
981#121—42no—
982#120—24no—
983#120—24no—
984C4×D4—24no—
985C4×D4—24no—
986C4×D4—24no—
987C4×D4—24no—
988#117—42no—
989C2×C4⋊C4—42no—
990C2×C4⋊C4C23×C5911yescharacteristic
991C2×C4⋊C4C23×C5911yescharacteristic
992C2×C4⋊C4C23×C5911yescharacteristic
993C2×C4⋊C4C23×C5911yescharacteristic
994C2×C4⋊C4C23×C5911yescharacteristic
995C2×C4⋊C4C23×C5911yescharacteristic
996C2×C4⋊C4C23×C5911yescharacteristic
997C2×C4⋊C4C23×C5911yescharacteristic
998C2×C4⋊C4C23×C5911yescharacteristic
999C2×C4⋊C4C23×C5911yescharacteristic
1000C2×C4⋊C4C23×C5911yescharacteristic
1001C2×C4⋊C4C23×C5911yescharacteristic
1002C2×C4⋊C4C23×C5911yescharacteristic
1003C2×C4⋊C4C23×C5911yescharacteristic
1004C2×C4⋊C4C23×C5911yescharacteristic
1005C2×C4⋊C4C23×C5911yescharacteristic
1006C2×C4⋊C4C23×C5911yescharacteristic
1007C2×C4⋊C4C23×C5911yescharacteristic
1008C2×C4⋊C4C23×C5911yescharacteristic
1009C2×C4⋊C4C23×C5911yescharacteristic
1010C2×C4⋊C4C23×C5911yescharacteristic
1011C2×C4⋊C4C23×C5911yescharacteristic
1012C2×C4⋊C4C23×C5911yescharacteristic
1013C2×C4⋊C4C23×C5911yescharacteristic
1014C2×C4⋊C4C23×C5911yescharacteristic
1015C2×C4⋊C4C23×C5911yescharacteristic
1016C2×C4⋊C4C23×C5911yescharacteristic
1017C2×C4⋊C4C23×C5911yescharacteristic
1018C2×C22⋊C4—24no—
1019C2×C22⋊C4—42no—
1020C2×C22⋊C4—42no—
1021C2×C22⋊C4C23×C5911yescharacteristic
1022C2×C22⋊C4C23×C5911yescharacteristic
1023C2×C22⋊C4C23×C5911yescharacteristic
1024C2×C22⋊C4C23×C5911yescharacteristic
1025C2×C22⋊C4C23×C5911yescharacteristic
1026C2×C22⋊C4C23×C5911yescharacteristic
1027C2×C22⋊C4C23×C5911yescharacteristic
1028C2×C22⋊C4C23×C5911yescharacteristic
1029C2×C22⋊C4C23×C5911yescharacteristic
1030C2×C22⋊C4C23×C5911yescharacteristic
1031C2×C22⋊C4C23×C5911yescharacteristic
1032C2×C22⋊C4C23×C5911yescharacteristic
1033C2×C22⋊C4C23×C5911yescharacteristic
1034C2×C22⋊C4C23×C5911yescharacteristic
1035C2×C22⋊C4C23×C5911yescharacteristic
1036C2×C22⋊C4C23×C5911yescharacteristic
1037C2×C22⋊C4C23×C5911yescharacteristic
1038C2×C22⋊C4C23×C5911yescharacteristic
1039C2×C22⋊C4C23×C5911yescharacteristic
1040C2×C22⋊C4C23×C5911yescharacteristic
1041C2×C22⋊C4C23×C5911yescharacteristic
1042C2×C22⋊C4C23×C5911yescharacteristic
1043C2×C22⋊C4C23×C5911yescharacteristic
1044C2×C22⋊C4C23×C5911yescharacteristic
1045C2×C22⋊C4C23×C5911yescharacteristic
1046C2×C22⋊C4C23×C5911yescharacteristic
1047C2×C22⋊C4C23×C5911yescharacteristic
1048C2×C22⋊C4C23×C5911yescharacteristic
1049C2×C22⋊C4C23×C5911yescharacteristic
1050C2×C22⋊C4C23×C5911yescharacteristic
1051C2×C22⋊C4C23×C5911yescharacteristic
1052C2×C22⋊C4C23×C5911yescharacteristic
1053C2×C22⋊C4C23×C5911yescharacteristic
1054C2×C22⋊C4C23×C5911yescharacteristic
1055C2×C22⋊C4C23×C5911yescharacteristic
1056C2×C22⋊C4C23×C5911yescharacteristic
1057C2×C22⋊C4C23×C5911yescharacteristic
1058C2×C22⋊C4C23×C5911yescharacteristic
1059C2×C22⋊C4C23×C5911yescharacteristic
1060C2×C22⋊C4C23×C5911yescharacteristic
1061C2×C22⋊C4C23×C5911yescharacteristic
1062C2×C22⋊C4C23×C5911yescharacteristic
1063C2×C22⋊C4C23×C5911yescharacteristic
1064C2×C22⋊C4C23×C5911yescharacteristic
1065C2×C22⋊C4C23×C5911yescharacteristic
1066C2×C22⋊C4C23×C5911yescharacteristic
1067C2×C22⋊C4C23×C5911yescharacteristic
1068C2×C22⋊C4C23×C5911yescharacteristic
1069C2×C42—42no—
1070C2×C42—42no—
1071C2×C42C23×C5911yescharacteristic
1072C2×C42C23×C5911yescharacteristic
1073C2×C42C23×C5911yescharacteristic
1074C2×C42C23×C5911yescharacteristic
1075C2×C42C23×C5911yescharacteristic
1076C2×C42C23×C5911yescharacteristic
1077C2×C42C23×C5911yescharacteristic
1078C2×C42C23×C5911yescharacteristic
1079C2×C42C23×C5911yescharacteristic
1080C2×C42C23×C5911yescharacteristic
1081C2×C42C23×C5911yescharacteristic
1082C2×C42C23×C5911yescharacteristic
1083C2×C42C23×C5911yescharacteristic
1084C2×C42C23×C5911yescharacteristic
1085C2×C42C23×C5911yescharacteristic
1086C2×C42C23×C5911yescharacteristic
1087#95C23×C5911yescharacteristic
1088#95C23×C5911yescharacteristic
1089#95C23×C5911yescharacteristic
1090#95C23×C5911yescharacteristic
1091#95C23×C5911yescharacteristic
1092#95C23×C5911yescharacteristic
1093#95C23×C5911yescharacteristic
1094#95C23×C5911yescharacteristic
1095#95C23×C5911yescharacteristic
1096#95C23×C5911yescharacteristic
1097#95C23×C5911yescharacteristic
1098#95C23×C5911yescharacteristic
1099#95C23×C5911yescharacteristic
1100#95C23×C5911yescharacteristic
1101#95C23×C5911yescharacteristic
1102#95C23×C5911yescharacteristic
1103#95C23×C5911yescharacteristic
1104#95C23×C5911yescharacteristic
1105#95C23×C5911yescharacteristic
1106#95C23×C5911yescharacteristic
1107#95C23×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
1131C24—22no—
1132C24—22no—
1133C24—22no—
1134C24—41no—
1135C24—41no—
1136C24—41no—
1137C24—41no—
1138C24C24×C5911yescharacteristic
1139C24C24×C5911yescharacteristic
1140C24C24×C5911yescharacteristic
1141C24C24×C5911yescharacteristic
1142C24C24×C5911yescharacteristic
1143C2×Q8—22no—
1144C2×Q8—41no—
1145C2×Q8—41no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—22no—
1154C2×D4—22no—
1155C2×D4—22no—
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4#41×C5914yes—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
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—
1195C22×C4—41no—
1196C22×C4#41×C5914yes—
1197C22×C4C24×C5911yescharacteristic
1198C22×C4C24×C5911yescharacteristic
1199C22×C4C24×C5911yescharacteristic
1200C22×C4C24×C5911yescharacteristic
1201C22×C4C24×C5911yescharacteristic
1202C22×C4C24×C5911yescharacteristic
1203C22×C4C24×C5911yescharacteristic
1204C22×C4C24×C5911yescharacteristic
1205C22×C4C24×C5911yescharacteristic
1206C22×C4C24×C5911yescharacteristic
1207C22×C4C24×C5911yescharacteristic
1208C22×C4C24×C5911yescharacteristic
1209C22×C4C24×C5911yescharacteristic
1210C22×C4C24×C5911yescharacteristic
1211C22×C4C24×C5911yescharacteristic
1212C22×C4C24×C5911yescharacteristic
1213C22×C4C24×C5911yescharacteristic
1214C22×C4C24×C5911yescharacteristic
1215C22×C4C24×C5911yescharacteristic
1216C22×C4C24×C5911yescharacteristic
1217C22×C4C24×C5911yescharacteristic
1218C22×C4C24×C5911yescharacteristic
1219C22×C4C24×C5911yescharacteristic
1220C22×C4C24×C5911yescharacteristic
1221C22×C4C24×C5911yescharacteristic
1222C22×C4C24×C5911yescharacteristic
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—22no—
1271C22⋊C4—22no—
1272C22⋊C4—22no—
1273C22⋊C4—22no—
1274C22⋊C4—22no—
1275C22⋊C4—22no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4#41×C5914yes—
1299C42—22no—
1300C42—22no—
1301C42—22no—
1302C42—22no—
1303C42—22no—
1304C42—22no—
1305C42—22no—
1306C42—22no—
1307C42—41no—
1308C42—41no—
1309C42—41no—
1310C42—41no—
1311C42—41no—
1312C42—41no—
1313C42—41no—
1314C42—41no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—44no—
1347C23—44no—
1348C23—44no—
1349C23—82no—
1350C23—82no—
1351C23—82no—
1352C23—82no—
1353C23C2×#41×C5912yes—
1354C23C2×#41×C5912yes—
1355C23C2×#41×C5912yes—
1356C23C2×#41×C5912yes—
1357C23C25×C5911yescharacteristic
1358Q8—82no—
1359D4—28no—
1360D4—44no—
1361D4—82no—
1362D4—82no—
1363D4—82no—
1364D4—82no—
1365D4—82no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
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—44no—
1438C2×C4—44no—
1439C2×C4—44no—
1440C2×C4—44no—
1441C2×C4—44no—
1442C2×C4—44no—
1443C2×C4—44no—
1444C2×C4—44no—
1445C2×C4—82no—
1446C2×C4—82no—
1447C2×C4C2×#41×C5912yes—
1448C2×C4C2×#41×C5912yes—
1449C2×C4C2×#41×C5912yes—
1450C2×C4C2×#41×C5912yes—
1451C2×C4C2×#41×C5912yes—
1452C2×C4H(5,𝔽2)×C5912yes—
1453C2×C4H(5,𝔽2)×C5912yes—
1454C22—22no—
1455C22—22no—
1456C22—22no—
1457C22—22no—
1458C22—22no—
1459C22—22no—
1460C22—22no—
1461C22—22no—
1462C22—22no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—88no—
1489C22C59×#52914yes—
1490C22C22×#41×C5911yescharacteristic
1491C22C22×#41×C5911yescharacteristic
1492C22C22×#41×C5911yescharacteristic
1493C22C2×H(5,𝔽2)×C5911yescharacteristic
1494C22C2×H(5,𝔽2)×C5911yescharacteristic
1495C22C59×#58511yescharacteristic
1496C22C59×#58511yescharacteristic
1497C4—22no—
1498C4—22no—
1499C4—22no—
1500C4—22no—
1501C4—22no—
1502C4—22no—
1503C4—22no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C2—24no—
1524C2—42no—
1525C2—81no—
1526C2—81no—
1527C2—81no—
1528C2C2×C59×#52911yescharacteristic
1529C2C59×#345911yescharacteristic
1530C2C59×#346011yescharacteristic
1531C2C59×#351311yescharacteristic
1532C2C59×#351411yescharacteristic
1533C2C59×#351911yescharacteristic
1534C2C59×#352111yescharacteristic
subgroupG/H
center, socleC23×C59C25
commutator, Frattini, cosocleC23C25×C59
prime radicalC59×#2424C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C59 ◁ G

Complements

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

NH ≅ G/Ntype
1. C59×#2865C2semidirect
2. C59×#2861C2semidirect
3. C59×#2854C2semidirect
4. C59×#2852C2semidirect
5. C59×#2654C2semidirect
6. C59×#2653C2semidirect
7. C59×#2651C2semidirect
8. C59×#2648C2semidirect
9. C59×#2595C2semidirect
10. C59×#2594C2semidirect
11. C59×#2558C2semidirect
12. C59×#2557C2semidirect
13. C59×#2532C2semidirect
14. C59×#2531C2semidirect
15. C59×#2510C2semidirect
16. C59×#2480C2semidirect
17. C59×#2479C2semidirect
18. C59×#2476C2semidirect
19. C59×#2473C2semidirect
20. C59×#2472C2semidirect
21. C59×#2450C2semidirect
22. C59×#2443C2semidirect
24. C59×#2418C2semidirect
25. C59×#2329C2semidirect
26. C59×#2325C2semidirect
27. C59×#2321C2semidirect
28. C59×#2321C2semidirect
29. C59×#2290C2semidirect
30. C2×C59×#388C2semidirect
31. C42×D4×C59C2semidirect
33. C2×#125×C59C22semidirect
36. C2×#123×C59C22semidirect
46. C2×#117×C59C22semidirect
52. C22×C42×C59C22semidirect
53. C59×#401C22semidirect
54. C59×#400C22semidirect
55. C59×#400C22semidirect
56. C59×#400C22semidirect
58. C59×#399C22semidirect
59. C59×#398C22semidirect
60. C59×#398C22semidirect
61. C59×#398C22semidirect
62. C59×#398C22semidirect
63. C59×#398C22semidirect
69. C59×#397C22semidirect
70. C59×#397C22semidirect
71. C59×#397C22semidirect
74. C59×#396C22semidirect
81. C59×#394C22semidirect
83. C59×#393C22semidirect
85. C59×#391C22semidirect
86. C59×#391C22semidirect
87. C59×#391C22semidirect
94. C59×#389C22semidirect
95. C59×#389C22semidirect
96. 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
137. C59×#387C22semidirect
138. C59×#387C22semidirect
139. C59×#387C22semidirect
140. C59×#387C22semidirect
153. C59×#386C22semidirect
154. C59×#386C22semidirect
161. C59×#385C22semidirect
162. C59×#385C22semidirect
163. C59×#385C22semidirect
164. C59×#385C22semidirect
165. C59×#383C22semidirect
168. C59×#380C22semidirect
171. C4×C4⋊C4×C59C22semidirect
172. C4×C4⋊C4×C59C22semidirect
173. C4×C4⋊C4×C59C22semidirect
174. C4×C4⋊C4×C59C22semidirect
179. C4×C22⋊C4×C59C22semidirect
180. C4×C22⋊C4×C59C22semidirect
181. C4×C22⋊C4×C59C22semidirect
182. C4×C22⋊C4×C59C22semidirect
183. C59×#376C22semidirect
186. C43×C59C22semidirect
686. #35068C59direct (N × H)
756. #2865C2×C59semidirect
757. #2861C2×C59semidirect
758. #2854C2×C59semidirect
759. #2852C2×C59semidirect
760. #2654C2×C59semidirect
761. #2653C2×C59semidirect
762. #2651C2×C59semidirect
763. #2648C2×C59semidirect
764. #2595C2×C59semidirect
765. #2594C2×C59semidirect
766. #2558C2×C59semidirect
767. #2557C2×C59semidirect
768. #2532C2×C59semidirect
769. #2531C2×C59semidirect
770. #2510C2×C59semidirect
771. #2480C2×C59semidirect
772. #2479C2×C59semidirect
773. #2476C2×C59semidirect
774. #2473C2×C59semidirect
775. #2472C2×C59semidirect
776. #2450C2×C59semidirect
777. #2443C2×C59semidirect
779. #2418C2×C59semidirect
780. #2329C2×C59semidirect
781. #2325C2×C59semidirect
782. #2321C2×C59semidirect
783. #2321C2×C59semidirect
784. #2290C2×C59semidirect
785. C2×#388C2×C59semidirect
786. C42×D4C2×C59semidirect
800. C2×#125C22×C59semidirect
803. C2×#123C22×C59semidirect
813. C2×#117C22×C59semidirect
819. C22×C42C22×C59semidirect
820. #401C22×C59semidirect
821. #400C22×C59semidirect
822. #400C22×C59semidirect
823. #400C22×C59semidirect
825. #399C22×C59semidirect
826. #398C22×C59semidirect
827. #398C22×C59semidirect
828. #398C22×C59semidirect
829. #398C22×C59semidirect
830. #398C22×C59semidirect
836. #397C22×C59semidirect
837. #397C22×C59semidirect
838. #397C22×C59semidirect
841. #396C22×C59semidirect
848. #394C22×C59semidirect
850. #393C22×C59semidirect
852. #391C22×C59semidirect
853. #391C22×C59semidirect
854. #391C22×C59semidirect
861. #389C22×C59semidirect
862. #389C22×C59semidirect
863. #389C22×C59semidirect
888. #388C22×C59semidirect
889. #388C22×C59semidirect
890. #388C22×C59semidirect
891. #388C22×C59semidirect
892. #388C22×C59semidirect
893. #388C22×C59semidirect
894. #388C22×C59semidirect
895. #387C22×C59semidirect
896. #387C22×C59semidirect
897. #387C22×C59semidirect
898. #387C22×C59semidirect
899. #387C22×C59semidirect
900. #387C22×C59semidirect
901. #387C22×C59semidirect
902. #387C22×C59semidirect
903. #387C22×C59semidirect
904. #387C22×C59semidirect
905. #387C22×C59semidirect
906. #387C22×C59semidirect
907. #387C22×C59semidirect
920. #386C22×C59semidirect
921. #386C22×C59semidirect
928. #385C22×C59semidirect
929. #385C22×C59semidirect
930. #385C22×C59semidirect
931. #385C22×C59semidirect
932. #383C22×C59semidirect
935. #380C22×C59semidirect
938. C4×C4⋊C4C22×C59semidirect
939. C4×C4⋊C4C22×C59semidirect
940. C4×C4⋊C4C22×C59semidirect
941. C4×C4⋊C4C22×C59semidirect
946. C4×C22⋊C4C22×C59semidirect
947. C4×C22⋊C4C22×C59semidirect
948. C4×C22⋊C4C22×C59semidirect
949. C4×C22⋊C4C22×C59semidirect
950. #376C22×C59semidirect
953. C43C22×C59semidirect
954. C59#35068direct (N × H)

Maximal subgroups

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

subgroupindex
C59×#28652
C59×#28612
C59×#28542
C59×#28522
C59×#26542
C59×#26532
C59×#26512
C59×#26482
C59×#25952
C59×#25942
C59×#25582
C59×#25572
C59×#25322
C59×#25312
C59×#25102
C59×#24802
C59×#24792
C59×#24762
C59×#24732
C59×#24722
C59×#24502
C59×#24432
C59×#24242
C59×#24182
C59×#23292
C59×#23252
C59×#23212
C59×#22902
C2×C59×#3882
C42×D4×C592
#3506859