Finite Group Databasebeta

← C59×#36779 #28448888

Subgroups — C59×#36779 #28448888

Order 15104.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C59×#2852C211yesmaximal, characteristic, complemented
2C59×#2850C211yesmaximal, characteristic, complemented
3C59×#2781C211yesmaximal, characteristic, complemented
4C59×#2781C211yesmaximal, characteristic, complemented
5C59×#2778C211yesmaximal, characteristic, complemented
6C59×#2765C211yesmaximal, characteristic, complemented
7C59×#2764C211yesmaximal, characteristic, complemented
8C59×#2761C211yesmaximal, characteristic, complemented
9C59×#2756C211yesmaximal, characteristic, complemented
10C59×#2749C211yesmaximal, characteristic, complemented
11C59×#2743C211yesmaximal, characteristic, complemented
12C59×#2741C211yesmaximal, characteristic, complemented
13C59×#2735C211yesmaximal, characteristic, complemented
14C59×#2735C211yesmaximal, characteristic, complemented
15C59×#2730C211yesmaximal, characteristic, complemented
16C59×#2702C211yesmaximal, characteristic, complemented
17C59×#2685C211yesmaximal, characteristic, complemented
18C59×#2684C211yesmaximal, characteristic, complemented
19C59×#2623C211yesmaximal, characteristic, complemented
20C59×#2618C211yesmaximal, characteristic, complemented
21C59×#2510C211yesmaximal, characteristic, complemented
22C59×#2488C211yesmaximal, characteristic, complemented
23C59×#2444C211yesmaximal, characteristic, complemented
24C59×#2437C211yesmaximal, characteristic, complemented
25C59×#2425C211yesmaximal, characteristic, complemented
26C59×#2412C211yesmaximal, characteristic, complemented
27C59×#2410C211yesmaximal, characteristic
28C59×#2405C211yesmaximal, characteristic, complemented
29C59×#2321C211yesmaximal, characteristic, complemented
30C59×#2308C211yesmaximal, characteristic, complemented
31C2×C59×#388C211yesmaximal, characteristic, complemented
32C23×D4×C59C2211yescharacteristic
33C2×#126×C59C2211yescharacteristic, complemented
34C2×#124×C59C2211yescharacteristic, complemented
35C2×#123×C59C2211yescharacteristic
36C2×#123×C59C2211yescharacteristic
37C2×#123×C59C2211yescharacteristic, complemented
38C2×C22⋊Q8×C59C2211yescharacteristic, complemented
39C2×C22⋊Q8×C59C2211yescharacteristic, complemented
40C2×#121×C59C2211yescharacteristic
41C2×#121×C59C2211yescharacteristic
42C2×#120×C59C2211yescharacteristic
43C2×#120×C59C2211yescharacteristic
44C2×C4×D4×C59C2211yescharacteristic, complemented
45C22×C4⋊C4×C59C2211yescharacteristic, complemented
46C22×C22⋊C4×C59C2211yescharacteristic
47C22×C22⋊C4×C59C2211yescharacteristic
48C22×C22⋊C4×C59C2211yescharacteristic
49C22×C22⋊C4×C59C2211yescharacteristic
50C22×C42×C59C2211yescharacteristic, complemented
51C59×#401C2211yescharacteristic, complemented
52C59×#400C2211yescharacteristic, complemented
53C59×#400C2211yescharacteristic, complemented
54C59×#400C2211yescharacteristic, complemented
55C59×#400C2211yescharacteristic, complemented
56C59×#400C2211yescharacteristic, complemented
57C59×#400C2211yescharacteristic, complemented
58C59×#399C2211yescharacteristic
59C59×#399C2211yescharacteristic, complemented
60C59×#399C2211yescharacteristic, complemented
61C59×#398C2211yescharacteristic, complemented
62C59×#398C2211yescharacteristic, complemented
63C59×#398C2211yescharacteristic, complemented
64C59×#398C2211yescharacteristic, complemented
65C59×#398C2211yescharacteristic, complemented
66C59×#397C2211yescharacteristic
67C59×#397C2211yescharacteristic
68C59×#397C2211yescharacteristic, complemented
69C59×#397C2211yescharacteristic, complemented
70C59×#397C2211yescharacteristic, complemented
71C59×#397C2211yescharacteristic, complemented
72C59×#397C2211yescharacteristic, complemented
73C59×#397C2211yescharacteristic, complemented
74C59×#397C2211yescharacteristic, complemented
75C59×#397C2211yescharacteristic, complemented
76C59×#396C2211yescharacteristic
77C59×#396C2211yescharacteristic
78C59×#396C2211yescharacteristic, complemented
79C59×#396C2211yescharacteristic, complemented
80C59×#396C2211yescharacteristic, complemented
81C59×#396C2211yescharacteristic, complemented
82C59×#396C2211yescharacteristic, complemented
83C59×#394C2211yescharacteristic
84C59×#394C2211yescharacteristic
85C59×#394C2211yescharacteristic
86C59×#394C2211yescharacteristic
87C59×#394C2211yescharacteristic
88C59×#394C2211yescharacteristic
89C59×#394C2211yescharacteristic
90C59×#394C2211yescharacteristic
91C59×#394C2211yescharacteristic, complemented
92C59×#394C2211yescharacteristic, complemented
93C59×#394C2211yescharacteristic, complemented
94C59×#394C2211yescharacteristic, complemented
95C59×#393C2211yescharacteristic
96C59×#393C2211yescharacteristic, complemented
97C59×#392C2211yescharacteristic
98C59×#392C2211yescharacteristic
99C59×#391C2211yescharacteristic, complemented
100C59×#391C2211yescharacteristic, complemented
101C59×#390C2211yescharacteristic
102C59×#390C2211yescharacteristic, complemented
103C59×#390C2211yescharacteristic, complemented
104C59×#389C2211yescharacteristic, complemented
105C59×#388C2211yescharacteristic
106C59×#388C2211yescharacteristic
107C59×#388C2211yescharacteristic
108C59×#388C2211yescharacteristic
109C59×#388C2211yescharacteristic
110C59×#388C2211yescharacteristic
111C59×#388C2211yescharacteristic, complemented
112C59×#388C2211yescharacteristic, complemented
113C59×#388C2211yescharacteristic, complemented
114C59×#388C2211yescharacteristic, complemented
115C59×#388C2211yescharacteristic, complemented
116C59×#388C2211yescharacteristic, complemented
117C59×#388C2211yescharacteristic, complemented
118C59×#388C2211yescharacteristic, complemented
119C59×#388C2211yescharacteristic, complemented
120C59×#388C2211yescharacteristic, complemented
121C59×#388C2211yescharacteristic, complemented
122C59×#388C2211yescharacteristic, complemented
123C59×#388C2211yescharacteristic, complemented
124C59×#388C2211yescharacteristic, complemented
125C59×#388C2211yescharacteristic, complemented
126C59×#388C2211yescharacteristic, complemented
127C59×#388C2211yescharacteristic, complemented
128C59×#388C2211yescharacteristic, complemented
129C59×#388C2211yescharacteristic, complemented
130C59×#387C2211yescharacteristic, complemented
131C59×#387C2211yescharacteristic, complemented
132C59×#387C2211yescharacteristic, complemented
133C59×#387C2211yescharacteristic, complemented
134C59×#387C2211yescharacteristic, complemented
135C59×#386C2211yescharacteristic
136C59×#386C2211yescharacteristic
137C59×#386C2211yescharacteristic
138C59×#386C2211yescharacteristic
139C59×#386C2211yescharacteristic
140C59×#386C2211yescharacteristic
141C59×#386C2211yescharacteristic
142C59×#386C2211yescharacteristic
143C59×#386C2211yescharacteristic
144C59×#386C2211yescharacteristic
145C59×#386C2211yescharacteristic
146C59×#386C2211yescharacteristic
147C59×#386C2211yescharacteristic
148C59×#386C2211yescharacteristic
149C59×#386C2211yescharacteristic, complemented
150C59×#386C2211yescharacteristic, complemented
151C59×#386C2211yescharacteristic, complemented
152C59×#386C2211yescharacteristic, complemented
153C59×#386C2211yescharacteristic, complemented
154C59×#386C2211yescharacteristic, complemented
155C59×#386C2211yescharacteristic, complemented
156C59×#385C2211yescharacteristic
157C59×#385C2211yescharacteristic
158C59×#385C2211yescharacteristic
159C59×#385C2211yescharacteristic, complemented
160C59×#385C2211yescharacteristic, complemented
161C59×#385C2211yescharacteristic, complemented
162C59×#385C2211yescharacteristic, complemented
163C59×#385C2211yescharacteristic, complemented
164C59×#385C2211yescharacteristic, complemented
165C59×#383C2211yescharacteristic, complemented
166C59×#383C2211yescharacteristic, complemented
167C59×#382C2211yescharacteristic, complemented
168C59×#382C2211yescharacteristic, complemented
169C59×#381C2211yescharacteristic
170C59×#381C2211yescharacteristic
171C59×#381C2211yescharacteristic, complemented
172C59×#381C2211yescharacteristic, complemented
173C59×#380C2211yescharacteristic, complemented
174C59×#380C2211yescharacteristic, complemented
175C59×#380C2211yescharacteristic, complemented
176C59×#380C2211yescharacteristic, complemented
177C59×#380C2211yescharacteristic, complemented
178C59×#379C2211yescharacteristic
179C59×#379C2211yescharacteristic
180C59×#379C2211yescharacteristic
181C59×#379C2211yescharacteristic
182C59×#379C2211yescharacteristic
183C59×#379C2211yescharacteristic
184C4×C22⋊C4×C59C2211yescharacteristic, complemented
185C2×#95×C59C2211yescharacteristic, complemented
186C2×#95×C59C2211yescharacteristic, complemented
187C25×C59C2311yescharacteristic
188C25×C59C2311yescharacteristic
189C22×Q8×C59C2311yescharacteristic
190C22×D4×C59—24no—
191C22×D4×C59—42no—
192C22×D4×C59—42no—
193C22×D4×C59C2311yescharacteristic
194C22×D4×C59C2311yescharacteristic
195C22×D4×C59C2311yescharacteristic
196C22×D4×C59C2311yescharacteristic
197C22×D4×C59C2311yescharacteristic
198C22×D4×C59C2311yescharacteristic
199C22×D4×C59C2311yescharacteristic
200C22×D4×C59C2311yescharacteristic
201C22×D4×C59C2311yescharacteristic
202C23×C4×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
212#126×C59—42no—
213#124×C59—42no—
214#123×C59—42no—
215#123×C59—42no—
216#123×C59—42no—
217C22⋊Q8×C59—42no—
218C22⋊Q8×C59—42no—
219#121×C59—42no—
220#121×C59—42no—
221#120×C59—24no—
222#120×C59—42no—
223C4×D4×C59—42no—
224C2×C4⋊C4×C59—42no—
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×C22⋊C4×C59—24no—
252C2×C22⋊C4×C59—42no—
253C2×C22⋊C4×C59—42no—
254C2×C22⋊C4×C59—42no—
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×C22⋊C4×C59C2311yescharacteristic
302C2×C22⋊C4×C59C2311yescharacteristic
303C2×C22⋊C4×C59C2311yescharacteristic
304C2×C22⋊C4×C59C2311yescharacteristic
305C2×C22⋊C4×C59C2311yescharacteristic
306C2×C22⋊C4×C59C2311yescharacteristic
307C2×C22⋊C4×C59C2311yescharacteristic
308C2×C22⋊C4×C59C2311yescharacteristic
309C2×C22⋊C4×C59C2311yescharacteristic
310C2×C22⋊C4×C59C2311yescharacteristic
311C2×C42×C59—42no—
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×C59—41no—
371C24×C59—41no—
372C24×C59—41no—
373C24×C59—41no—
374C24×C59—41no—
375C24×C59—41no—
376C24×C59#4114yes—
377C24×C59C2411yescharacteristic
378C24×C59C2411yescharacteristic
379C24×C59C2411yescharacteristic
380C24×C59C2411yescharacteristic
381C24×C59C2411yescharacteristic
382C24×C59C2411yescharacteristic
383C2×Q8×C59—22no—
384C2×Q8×C59—41no—
385C2×Q8×C59—41no—
386C2×D4×C59—22no—
387C2×D4×C59—22no—
388C2×D4×C59—22no—
389C2×D4×C59—22no—
390C2×D4×C59—22no—
391C2×D4×C59—22no—
392C2×D4×C59—22no—
393C2×D4×C59—22no—
394C2×D4×C59—22no—
395C2×D4×C59—22no—
396C2×D4×C59—22no—
397C2×D4×C59—22no—
398C2×D4×C59—22no—
399C2×D4×C59—22no—
400C2×D4×C59—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—416no—
414C22×C4×C59—22no—
415C22×C4×C59—22no—
416C22×C4×C59—22no—
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×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
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
469C4⋊C4×C59—22no—
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—
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—
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—22no—
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—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—
548C22⋊C4×C59—41no—
549C22⋊C4×C59—41no—
550C22⋊C4×C59—41no—
551C42×C59—22no—
552C42×C59—22no—
553C42×C59—41no—
554C42×C59—41no—
555C42×C59—41no—
556C42×C59—41no—
557C42×C59—41no—
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—28no—
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—44no—
597C23×C59—44no—
598C23×C59—44no—
599C23×C59—82no—
600C23×C59—82no—
601C23×C59—82no—
602C23×C59—82no—
603C23×C59—82no—
604C23×C59—82no—
605C23×C59—82no—
606C23×C59—82no—
607C23×C59—82no—
608C23×C59—82no—
609C23×C59C2×#4112yes—
610C23×C59C2×#4112yes—
611C23×C59C2×#4112yes—
612C23×C59H(5,𝔽2)12yes—
613C23×C59H(5,𝔽2)12yes—
614C23×C59C2511yescharacteristic
615Q8×C59—82no—
616D4×C59—44no—
617D4×C59—44no—
618D4×C59—44no—
619D4×C59—44no—
620D4×C59—44no—
621D4×C59—82no—
622D4×C59—82no—
623D4×C59—82no—
624D4×C59—82no—
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—21no—
688C2×C4×C59—21no—
689C2×C4×C59—21no—
690C2×C4×C59—21no—
691C2×C4×C59—21no—
692C2×C4×C59—21no—
693C2×C4×C59—21no—
694C2×C4×C59—21no—
695C2×C4×C59—21no—
696C2×C4×C59—21no—
697C2×C4×C59—21no—
698C2×C4×C59—21no—
699C2×C4×C59—44no—
700C2×C4×C59—44no—
701C2×C4×C59—44no—
702C2×C4×C59—44no—
703C2×C4×C59—44no—
704C2×C4×C59—82no—
705C2×C4×C59—82no—
706C2×C4×C59—82no—
707C2×C4×C59—82no—
708C2×C4×C59—82no—
709C2×C4×C59H(5,𝔽2)12yes—
710#36779C5911yesmaximal, characteristic, direct product factor, Sylow
711C22×C59—22no—
712C22×C59—22no—
713C22×C59—22no—
714C22×C59—22no—
715C22×C59—22no—
716C22×C59—22no—
717C22×C59—22no—
718C22×C59—22no—
719C22×C59—22no—
720C22×C59—22no—
721C22×C59—22no—
722C22×C59—22no—
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×C59—41no—
745C22×C59—41no—
746C22×C59—41no—
747C22×C59—41no—
748C22×C59—41no—
749C22×C59—41no—
750C22×C59—41no—
751C22×C59—41no—
752C22×C59—88no—
753C22×C59—88no—
754C22×C59#53814yes—
755C22×C59C22×#4111yescharacteristic
756C22×C59C2×H(5,𝔽2)11yescharacteristic
757C22×C59C2×H(5,𝔽2)11yescharacteristic
758C22×C59C2×H(5,𝔽2)11yescharacteristic
759C22×C59#58511yescharacteristic
760C22×C59#58511yescharacteristic
761C22×C59#58511yescharacteristic
762C4×C59—22no—
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—
776C4×C59—41no—
777C4×C59—41no—
778C4×C59—41no—
779C4×C59—41no—
780C4×C59—41no—
781C4×C59—41no—
782C4×C59—41no—
783C4×C59—41no—
784C4×C59—41no—
785C4×C59—41no—
786C4×C59—41no—
787#2852C2×C5911yescharacteristic, complemented
788#2850C2×C5911yescharacteristic, complemented
789#2781C2×C5911yescharacteristic, complemented
790#2781C2×C5911yescharacteristic, complemented
791#2778C2×C5911yescharacteristic, complemented
792#2765C2×C5911yescharacteristic, complemented
793#2764C2×C5911yescharacteristic, complemented
794#2761C2×C5911yescharacteristic, complemented
795#2756C2×C5911yescharacteristic, complemented
796#2749C2×C5911yescharacteristic, complemented
797#2743C2×C5911yescharacteristic, complemented
798#2741C2×C5911yescharacteristic, complemented
799#2735C2×C5911yescharacteristic, complemented
800#2735C2×C5911yescharacteristic, complemented
801#2730C2×C5911yescharacteristic, complemented
802#2702C2×C5911yescharacteristic, complemented
803#2685C2×C5911yescharacteristic, complemented
804#2684C2×C5911yescharacteristic, complemented
805#2623C2×C5911yescharacteristic, complemented
806#2618C2×C5911yescharacteristic, complemented
807#2510C2×C5911yescharacteristic, complemented
808#2488C2×C5911yescharacteristic, complemented
809#2444C2×C5911yescharacteristic, complemented
810#2437C2×C5911yescharacteristic, complemented
811#2425C2×C5911yescharacteristic, complemented
812#2412C2×C5911yescharacteristic, complemented
813#2410C2×C5911yescharacteristic
814#2405C2×C5911yescharacteristic, complemented
815#2321C2×C5911yescharacteristic, complemented
816#2308C2×C5911yescharacteristic, complemented
817C2×#388C2×C5911yescharacteristic, complemented
818C2×C59—24no—
819C2×C59—42no—
820C2×C59—42no—
821C2×C59—81no—
822C2×C59—81no—
823C2×C59—81no—
824C2×C59C2×#53811yescharacteristic
825C2×C59#349111yescharacteristic
826C2×C59#350511yescharacteristic
827C2×C59#353411yescharacteristic
828C2×C59#354211yescharacteristic
829C2×C59#354511yescharacteristic
830C2×C59#356011yescharacteristic
831C23×D4C22×C5911yescharacteristic
832C2×#126C22×C5911yescharacteristic, complemented
833C2×#124C22×C5911yescharacteristic, complemented
834C2×#123C22×C5911yescharacteristic
835C2×#123C22×C5911yescharacteristic
836C2×#123C22×C5911yescharacteristic, complemented
837C2×C22⋊Q8C22×C5911yescharacteristic, complemented
838C2×C22⋊Q8C22×C5911yescharacteristic, complemented
839C2×#121C22×C5911yescharacteristic
840C2×#121C22×C5911yescharacteristic
841C2×#120C22×C5911yescharacteristic
842C2×#120C22×C5911yescharacteristic
843C2×C4×D4C22×C5911yescharacteristic, complemented
844C22×C4⋊C4C22×C5911yescharacteristic, complemented
845C22×C22⋊C4C22×C5911yescharacteristic
846C22×C22⋊C4C22×C5911yescharacteristic
847C22×C22⋊C4C22×C5911yescharacteristic
848C22×C22⋊C4C22×C5911yescharacteristic
849C22×C42C22×C5911yescharacteristic, complemented
850#401C22×C5911yescharacteristic, complemented
851#400C22×C5911yescharacteristic, complemented
852#400C22×C5911yescharacteristic, complemented
853#400C22×C5911yescharacteristic, complemented
854#400C22×C5911yescharacteristic, complemented
855#400C22×C5911yescharacteristic, complemented
856#400C22×C5911yescharacteristic, complemented
857#399C22×C5911yescharacteristic
858#399C22×C5911yescharacteristic, complemented
859#399C22×C5911yescharacteristic, complemented
860#398C22×C5911yescharacteristic, complemented
861#398C22×C5911yescharacteristic, complemented
862#398C22×C5911yescharacteristic, complemented
863#398C22×C5911yescharacteristic, complemented
864#398C22×C5911yescharacteristic, complemented
865#397C22×C5911yescharacteristic
866#397C22×C5911yescharacteristic
867#397C22×C5911yescharacteristic, complemented
868#397C22×C5911yescharacteristic, complemented
869#397C22×C5911yescharacteristic, complemented
870#397C22×C5911yescharacteristic, complemented
871#397C22×C5911yescharacteristic, complemented
872#397C22×C5911yescharacteristic, complemented
873#397C22×C5911yescharacteristic, complemented
874#397C22×C5911yescharacteristic, complemented
875#396C22×C5911yescharacteristic
876#396C22×C5911yescharacteristic
877#396C22×C5911yescharacteristic, complemented
878#396C22×C5911yescharacteristic, complemented
879#396C22×C5911yescharacteristic, complemented
880#396C22×C5911yescharacteristic, complemented
881#396C22×C5911yescharacteristic, complemented
882#394C22×C5911yescharacteristic
883#394C22×C5911yescharacteristic
884#394C22×C5911yescharacteristic
885#394C22×C5911yescharacteristic
886#394C22×C5911yescharacteristic
887#394C22×C5911yescharacteristic
888#394C22×C5911yescharacteristic
889#394C22×C5911yescharacteristic
890#394C22×C5911yescharacteristic, complemented
891#394C22×C5911yescharacteristic, complemented
892#394C22×C5911yescharacteristic, complemented
893#394C22×C5911yescharacteristic, complemented
894#393C22×C5911yescharacteristic
895#393C22×C5911yescharacteristic, complemented
896#392C22×C5911yescharacteristic
897#392C22×C5911yescharacteristic
898#391C22×C5911yescharacteristic, complemented
899#391C22×C5911yescharacteristic, complemented
900#390C22×C5911yescharacteristic
901#390C22×C5911yescharacteristic, complemented
902#390C22×C5911yescharacteristic, complemented
903#389C22×C5911yescharacteristic, complemented
904#388C22×C5911yescharacteristic
905#388C22×C5911yescharacteristic
906#388C22×C5911yescharacteristic
907#388C22×C5911yescharacteristic
908#388C22×C5911yescharacteristic
909#388C22×C5911yescharacteristic
910#388C22×C5911yescharacteristic, complemented
911#388C22×C5911yescharacteristic, complemented
912#388C22×C5911yescharacteristic, complemented
913#388C22×C5911yescharacteristic, complemented
914#388C22×C5911yescharacteristic, complemented
915#388C22×C5911yescharacteristic, complemented
916#388C22×C5911yescharacteristic, complemented
917#388C22×C5911yescharacteristic, complemented
918#388C22×C5911yescharacteristic, complemented
919#388C22×C5911yescharacteristic, complemented
920#388C22×C5911yescharacteristic, complemented
921#388C22×C5911yescharacteristic, complemented
922#388C22×C5911yescharacteristic, complemented
923#388C22×C5911yescharacteristic, complemented
924#388C22×C5911yescharacteristic, complemented
925#388C22×C5911yescharacteristic, complemented
926#388C22×C5911yescharacteristic, complemented
927#388C22×C5911yescharacteristic, complemented
928#388C22×C5911yescharacteristic, complemented
929#387C22×C5911yescharacteristic, complemented
930#387C22×C5911yescharacteristic, complemented
931#387C22×C5911yescharacteristic, complemented
932#387C22×C5911yescharacteristic, complemented
933#387C22×C5911yescharacteristic, complemented
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, complemented
949#386C22×C5911yescharacteristic, complemented
950#386C22×C5911yescharacteristic, complemented
951#386C22×C5911yescharacteristic, complemented
952#386C22×C5911yescharacteristic, complemented
953#386C22×C5911yescharacteristic, complemented
954#386C22×C5911yescharacteristic, complemented
955#385C22×C5911yescharacteristic
956#385C22×C5911yescharacteristic
957#385C22×C5911yescharacteristic
958#385C22×C5911yescharacteristic, complemented
959#385C22×C5911yescharacteristic, complemented
960#385C22×C5911yescharacteristic, complemented
961#385C22×C5911yescharacteristic, complemented
962#385C22×C5911yescharacteristic, complemented
963#385C22×C5911yescharacteristic, complemented
964#383C22×C5911yescharacteristic, complemented
965#383C22×C5911yescharacteristic, complemented
966#382C22×C5911yescharacteristic, complemented
967#382C22×C5911yescharacteristic, complemented
968#381C22×C5911yescharacteristic
969#381C22×C5911yescharacteristic
970#381C22×C5911yescharacteristic, complemented
971#381C22×C5911yescharacteristic, complemented
972#380C22×C5911yescharacteristic, complemented
973#380C22×C5911yescharacteristic, complemented
974#380C22×C5911yescharacteristic, complemented
975#380C22×C5911yescharacteristic, complemented
976#380C22×C5911yescharacteristic, complemented
977#379C22×C5911yescharacteristic
978#379C22×C5911yescharacteristic
979#379C22×C5911yescharacteristic
980#379C22×C5911yescharacteristic
981#379C22×C5911yescharacteristic
982#379C22×C5911yescharacteristic
983C4×C22⋊C4C22×C5911yescharacteristic, complemented
984C2×#95C22×C5911yescharacteristic, complemented
985C2×#95C22×C5911yescharacteristic, complemented
986C59#3677911yescharacteristic, direct product factor, Sylow
987C25C23×C5911yescharacteristic
988C25C23×C5911yescharacteristic
989C22×Q8C23×C5911yescharacteristic
990C22×D4—24no—
991C22×D4—42no—
992C22×D4—42no—
993C22×D4C23×C5911yescharacteristic
994C22×D4C23×C5911yescharacteristic
995C22×D4C23×C5911yescharacteristic
996C22×D4C23×C5911yescharacteristic
997C22×D4C23×C5911yescharacteristic
998C22×D4C23×C5911yescharacteristic
999C22×D4C23×C5911yescharacteristic
1000C22×D4C23×C5911yescharacteristic
1001C22×D4C23×C5911yescharacteristic
1002C23×C4C23×C5911yescharacteristic
1003C23×C4C23×C5911yescharacteristic
1004C23×C4C23×C5911yescharacteristic
1005C23×C4C23×C5911yescharacteristic
1006C23×C4C23×C5911yescharacteristic
1007C23×C4C23×C5911yescharacteristic
1008C23×C4C23×C5911yescharacteristic
1009C23×C4C23×C5911yescharacteristic
1010C23×C4C23×C5911yescharacteristic
1011C23×C4C23×C5911yescharacteristic
1012#126—42no—
1013#124—42no—
1014#123—42no—
1015#123—42no—
1016#123—42no—
1017C22⋊Q8—42no—
1018C22⋊Q8—42no—
1019#121—42no—
1020#121—42no—
1021#120—24no—
1022#120—42no—
1023C4×D4—42no—
1024C2×C4⋊C4—42no—
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×C4⋊C4C23×C5911yescharacteristic
1049C2×C4⋊C4C23×C5911yescharacteristic
1050C2×C4⋊C4C23×C5911yescharacteristic
1051C2×C22⋊C4—24no—
1052C2×C22⋊C4—42no—
1053C2×C22⋊C4—42no—
1054C2×C22⋊C4—42no—
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×C22⋊C4C23×C5911yescharacteristic
1099C2×C22⋊C4C23×C5911yescharacteristic
1100C2×C22⋊C4C23×C5911yescharacteristic
1101C2×C22⋊C4C23×C5911yescharacteristic
1102C2×C22⋊C4C23×C5911yescharacteristic
1103C2×C22⋊C4C23×C5911yescharacteristic
1104C2×C22⋊C4C23×C5911yescharacteristic
1105C2×C22⋊C4C23×C5911yescharacteristic
1106C2×C22⋊C4C23×C5911yescharacteristic
1107C2×C22⋊C4C23×C5911yescharacteristic
1108C2×C22⋊C4C23×C5911yescharacteristic
1109C2×C22⋊C4C23×C5911yescharacteristic
1110C2×C22⋊C4C23×C5911yescharacteristic
1111C2×C42—42no—
1112C2×C42C23×C5911yescharacteristic
1113C2×C42C23×C5911yescharacteristic
1114C2×C42C23×C5911yescharacteristic
1115C2×C42C23×C5911yescharacteristic
1116C2×C42C23×C5911yescharacteristic
1117C2×C42C23×C5911yescharacteristic
1118C2×C42C23×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
1152#95C23×C5911yescharacteristic
1153#95C23×C5911yescharacteristic
1154#95C23×C5911yescharacteristic
1155#95C23×C5911yescharacteristic
1156#95C23×C5911yescharacteristic
1157#95C23×C5911yescharacteristic
1158#95C23×C5911yescharacteristic
1159#95C23×C5911yescharacteristic
1160#95C23×C5911yescharacteristic
1161#95C23×C5911yescharacteristic
1162#95C23×C5911yescharacteristic
1163C24—22no—
1164C24—22no—
1165C24—22no—
1166C24—41no—
1167C24—41no—
1168C24—41no—
1169C24—41no—
1170C24—41no—
1171C24—41no—
1172C24—41no—
1173C24—41no—
1174C24—41no—
1175C24—41no—
1176C24#41×C5914yes—
1177C24C24×C5911yescharacteristic
1178C24C24×C5911yescharacteristic
1179C24C24×C5911yescharacteristic
1180C24C24×C5911yescharacteristic
1181C24C24×C5911yescharacteristic
1182C24C24×C5911yescharacteristic
1183C2×Q8—22no—
1184C2×Q8—41no—
1185C2×Q8—41no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—416no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
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×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
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
1261C22×C4C24×C5911yescharacteristic
1262C22×C4C24×C5911yescharacteristic
1263C22×C4C24×C5911yescharacteristic
1264C22×C4C24×C5911yescharacteristic
1265C22×C4C24×C5911yescharacteristic
1266C22×C4C24×C5911yescharacteristic
1267C22×C4C24×C5911yescharacteristic
1268C22×C4C24×C5911yescharacteristic
1269C4⋊C4—22no—
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—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
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—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C42—22no—
1352C42—22no—
1353C42—41no—
1354C42—41no—
1355C42—41no—
1356C42—41no—
1357C42—41no—
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—28no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—44no—
1397C23—44no—
1398C23—44no—
1399C23—82no—
1400C23—82no—
1401C23—82no—
1402C23—82no—
1403C23—82no—
1404C23—82no—
1405C23—82no—
1406C23—82no—
1407C23—82no—
1408C23—82no—
1409C23C2×#41×C5912yes—
1410C23C2×#41×C5912yes—
1411C23C2×#41×C5912yes—
1412C23H(5,𝔽2)×C5912yes—
1413C23H(5,𝔽2)×C5912yes—
1414C23C25×C5911yescharacteristic
1415Q8—82no—
1416D4—44no—
1417D4—44no—
1418D4—44no—
1419D4—44no—
1420D4—44no—
1421D4—82no—
1422D4—82no—
1423D4—82no—
1424D4—82no—
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—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—44no—
1500C2×C4—44no—
1501C2×C4—44no—
1502C2×C4—44no—
1503C2×C4—44no—
1504C2×C4—82no—
1505C2×C4—82no—
1506C2×C4—82no—
1507C2×C4—82no—
1508C2×C4—82no—
1509C2×C4H(5,𝔽2)×C5912yes—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—88no—
1552C22—88no—
1553C22C59×#53814yes—
1554C22C22×#41×C5911yescharacteristic
1555C22C2×H(5,𝔽2)×C5911yescharacteristic
1556C22C2×H(5,𝔽2)×C5911yescharacteristic
1557C22C2×H(5,𝔽2)×C5911yescharacteristic
1558C22C59×#58511yescharacteristic
1559C22C59×#58511yescharacteristic
1560C22C59×#58511yescharacteristic
1561C4—22no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C2—24no—
1587C2—42no—
1588C2—42no—
1589C2—81no—
1590C2—81no—
1591C2—81no—
1592C2C2×C59×#53811yescharacteristic
1593C2C59×#349111yescharacteristic
1594C2C59×#350511yescharacteristic
1595C2C59×#353411yescharacteristic
1596C2C59×#354211yescharacteristic
1597C2C59×#354511yescharacteristic
1598C2C59×#356011yescharacteristic
subgroupG/H
center, socleC23×C59C25
commutator, Frattini, cosocleC23C25×C59
prime radicalC59×#2410C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C59 ◁ G

Complements

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

NH ≅ G/Ntype
1. C59×#2852C2semidirect
2. C59×#2850C2semidirect
3. C59×#2781C2semidirect
4. C59×#2781C2semidirect
5. C59×#2778C2semidirect
6. C59×#2765C2semidirect
7. C59×#2764C2semidirect
8. C59×#2761C2semidirect
9. C59×#2756C2semidirect
10. C59×#2749C2semidirect
11. C59×#2743C2semidirect
12. C59×#2741C2semidirect
13. C59×#2735C2semidirect
14. C59×#2735C2semidirect
15. C59×#2730C2semidirect
16. C59×#2702C2semidirect
17. C59×#2685C2semidirect
18. C59×#2684C2semidirect
19. C59×#2623C2semidirect
20. C59×#2618C2semidirect
21. C59×#2510C2semidirect
22. C59×#2488C2semidirect
23. C59×#2444C2semidirect
24. C59×#2437C2semidirect
25. C59×#2425C2semidirect
26. C59×#2412C2semidirect
28. C59×#2405C2semidirect
29. C59×#2321C2semidirect
30. C59×#2308C2semidirect
31. C2×C59×#388C2semidirect
33. C2×#126×C59C22semidirect
34. C2×#124×C59C22semidirect
37. C2×#123×C59C22semidirect
38. C2×C22⋊Q8×C59C22semidirect
39. C2×C22⋊Q8×C59C22semidirect
44. C2×C4×D4×C59C22semidirect
45. C22×C4⋊C4×C59C22semidirect
50. C22×C42×C59C22semidirect
51. C59×#401C22semidirect
52. C59×#400C22semidirect
53. C59×#400C22semidirect
54. C59×#400C22semidirect
55. C59×#400C22semidirect
56. C59×#400C22semidirect
57. C59×#400C22semidirect
59. C59×#399C22semidirect
60. C59×#399C22semidirect
61. C59×#398C22semidirect
62. C59×#398C22semidirect
63. C59×#398C22semidirect
64. C59×#398C22semidirect
65. C59×#398C22semidirect
68. C59×#397C22semidirect
69. C59×#397C22semidirect
70. C59×#397C22semidirect
71. C59×#397C22semidirect
72. C59×#397C22semidirect
73. C59×#397C22semidirect
74. C59×#397C22semidirect
75. C59×#397C22semidirect
78. C59×#396C22semidirect
79. C59×#396C22semidirect
80. C59×#396C22semidirect
81. C59×#396C22semidirect
82. C59×#396C22semidirect
91. C59×#394C22semidirect
92. C59×#394C22semidirect
93. C59×#394C22semidirect
94. C59×#394C22semidirect
96. C59×#393C22semidirect
99. C59×#391C22semidirect
100. C59×#391C22semidirect
102. C59×#390C22semidirect
103. C59×#390C22semidirect
104. C59×#389C22semidirect
111. C59×#388C22semidirect
112. C59×#388C22semidirect
113. C59×#388C22semidirect
114. C59×#388C22semidirect
115. C59×#388C22semidirect
116. C59×#388C22semidirect
117. C59×#388C22semidirect
118. C59×#388C22semidirect
119. C59×#388C22semidirect
120. C59×#388C22semidirect
121. C59×#388C22semidirect
122. C59×#388C22semidirect
123. C59×#388C22semidirect
124. C59×#388C22semidirect
125. C59×#388C22semidirect
126. C59×#388C22semidirect
127. C59×#388C22semidirect
128. C59×#388C22semidirect
129. C59×#388C22semidirect
130. C59×#387C22semidirect
131. C59×#387C22semidirect
132. C59×#387C22semidirect
133. C59×#387C22semidirect
134. C59×#387C22semidirect
149. C59×#386C22semidirect
150. C59×#386C22semidirect
151. C59×#386C22semidirect
152. C59×#386C22semidirect
153. C59×#386C22semidirect
154. C59×#386C22semidirect
155. C59×#386C22semidirect
159. C59×#385C22semidirect
160. C59×#385C22semidirect
161. C59×#385C22semidirect
162. C59×#385C22semidirect
163. C59×#385C22semidirect
164. C59×#385C22semidirect
165. C59×#383C22semidirect
166. C59×#383C22semidirect
167. C59×#382C22semidirect
168. C59×#382C22semidirect
171. C59×#381C22semidirect
172. C59×#381C22semidirect
173. C59×#380C22semidirect
174. C59×#380C22semidirect
175. C59×#380C22semidirect
176. C59×#380C22semidirect
177. C59×#380C22semidirect
184. C4×C22⋊C4×C59C22semidirect
185. C2×#95×C59C22semidirect
186. C2×#95×C59C22semidirect
710. #36779C59direct (N × H)
787. #2852C2×C59semidirect
788. #2850C2×C59semidirect
789. #2781C2×C59semidirect
790. #2781C2×C59semidirect
791. #2778C2×C59semidirect
792. #2765C2×C59semidirect
793. #2764C2×C59semidirect
794. #2761C2×C59semidirect
795. #2756C2×C59semidirect
796. #2749C2×C59semidirect
797. #2743C2×C59semidirect
798. #2741C2×C59semidirect
799. #2735C2×C59semidirect
800. #2735C2×C59semidirect
801. #2730C2×C59semidirect
802. #2702C2×C59semidirect
803. #2685C2×C59semidirect
804. #2684C2×C59semidirect
805. #2623C2×C59semidirect
806. #2618C2×C59semidirect
807. #2510C2×C59semidirect
808. #2488C2×C59semidirect
809. #2444C2×C59semidirect
810. #2437C2×C59semidirect
811. #2425C2×C59semidirect
812. #2412C2×C59semidirect
814. #2405C2×C59semidirect
815. #2321C2×C59semidirect
816. #2308C2×C59semidirect
817. C2×#388C2×C59semidirect
832. C2×#126C22×C59semidirect
833. C2×#124C22×C59semidirect
836. C2×#123C22×C59semidirect
837. C2×C22⋊Q8C22×C59semidirect
838. C2×C22⋊Q8C22×C59semidirect
843. C2×C4×D4C22×C59semidirect
844. C22×C4⋊C4C22×C59semidirect
849. C22×C42C22×C59semidirect
850. #401C22×C59semidirect
851. #400C22×C59semidirect
852. #400C22×C59semidirect
853. #400C22×C59semidirect
854. #400C22×C59semidirect
855. #400C22×C59semidirect
856. #400C22×C59semidirect
858. #399C22×C59semidirect
859. #399C22×C59semidirect
860. #398C22×C59semidirect
861. #398C22×C59semidirect
862. #398C22×C59semidirect
863. #398C22×C59semidirect
864. #398C22×C59semidirect
867. #397C22×C59semidirect
868. #397C22×C59semidirect
869. #397C22×C59semidirect
870. #397C22×C59semidirect
871. #397C22×C59semidirect
872. #397C22×C59semidirect
873. #397C22×C59semidirect
874. #397C22×C59semidirect
877. #396C22×C59semidirect
878. #396C22×C59semidirect
879. #396C22×C59semidirect
880. #396C22×C59semidirect
881. #396C22×C59semidirect
890. #394C22×C59semidirect
891. #394C22×C59semidirect
892. #394C22×C59semidirect
893. #394C22×C59semidirect
895. #393C22×C59semidirect
898. #391C22×C59semidirect
899. #391C22×C59semidirect
901. #390C22×C59semidirect
902. #390C22×C59semidirect
903. #389C22×C59semidirect
910. #388C22×C59semidirect
911. #388C22×C59semidirect
912. #388C22×C59semidirect
913. #388C22×C59semidirect
914. #388C22×C59semidirect
915. #388C22×C59semidirect
916. #388C22×C59semidirect
917. #388C22×C59semidirect
918. #388C22×C59semidirect
919. #388C22×C59semidirect
920. #388C22×C59semidirect
921. #388C22×C59semidirect
922. #388C22×C59semidirect
923. #388C22×C59semidirect
924. #388C22×C59semidirect
925. #388C22×C59semidirect
926. #388C22×C59semidirect
927. #388C22×C59semidirect
928. #388C22×C59semidirect
929. #387C22×C59semidirect
930. #387C22×C59semidirect
931. #387C22×C59semidirect
932. #387C22×C59semidirect
933. #387C22×C59semidirect
948. #386C22×C59semidirect
949. #386C22×C59semidirect
950. #386C22×C59semidirect
951. #386C22×C59semidirect
952. #386C22×C59semidirect
953. #386C22×C59semidirect
954. #386C22×C59semidirect
958. #385C22×C59semidirect
959. #385C22×C59semidirect
960. #385C22×C59semidirect
961. #385C22×C59semidirect
962. #385C22×C59semidirect
963. #385C22×C59semidirect
964. #383C22×C59semidirect
965. #383C22×C59semidirect
966. #382C22×C59semidirect
967. #382C22×C59semidirect
970. #381C22×C59semidirect
971. #381C22×C59semidirect
972. #380C22×C59semidirect
973. #380C22×C59semidirect
974. #380C22×C59semidirect
975. #380C22×C59semidirect
976. #380C22×C59semidirect
983. C4×C22⋊C4C22×C59semidirect
984. C2×#95C22×C59semidirect
985. C2×#95C22×C59semidirect
986. C59#36779direct (N × H)

Maximal subgroups

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

subgroupindex
C59×#28522
C59×#28502
C59×#27812
C59×#27782
C59×#27652
C59×#27642
C59×#27612
C59×#27562
C59×#27492
C59×#27432
C59×#27412
C59×#27352
C59×#27302
C59×#27022
C59×#26852
C59×#26842
C59×#26232
C59×#26182
C59×#25102
C59×#24882
C59×#24442
C59×#24372
C59×#24252
C59×#24122
C59×#24102
C59×#24052
C59×#23212
C59×#23082
C2×C59×#3882
#3677959