Finite Group Databasebeta

← C59×#35378 #28447487

Subgroups — C59×#35378 #28447487

Order 15104.

2182 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C59×#2597C211yesmaximal, characteristic, complemented
2C59×#2595C211yesmaximal, characteristic, complemented
3C59×#2560C211yesmaximal, characteristic, complemented
4C59×#2559C211yesmaximal, characteristic, complemented
5C59×#2558C211yesmaximal, characteristic, complemented
6C59×#2557C211yesmaximal, characteristic, complemented
7C59×#2554C211yesmaximal, characteristic, complemented
8C59×#2554C211yesmaximal, characteristic, complemented
9C59×#2531C211yesmaximal, characteristic, complemented
10C59×#2526C211yesmaximal, characteristic, complemented
11C59×#2516C211yesmaximal, characteristic, complemented
12C59×#2490C211yesmaximal, characteristic, complemented
13C59×#2481C211yesmaximal, characteristic, complemented
14C59×#2480C211yesmaximal, characteristic, complemented
15C59×#2476C211yesmaximal, characteristic, complemented
16C59×#2473C211yesmaximal, characteristic, complemented
17C59×#2472C211yesmaximal, characteristic, complemented
18C59×#2471C211yesmaximal, characteristic, complemented
19C59×#2458C211yesmaximal, characteristic, complemented
20C59×#2437C211yesmaximal, characteristic, complemented
21C59×#2426C211yesmaximal, characteristic, complemented
22C59×#2412C211yesmaximal, characteristic, complemented
23C59×#2410C211yesmaximal, characteristic
24C59×#2405C211yesmaximal, characteristic, complemented
25C59×#2321C211yesmaximal, characteristic, complemented
26C59×#2321C211yesmaximal, characteristic, complemented
27C59×#2312C211yesmaximal, characteristic, complemented
28C4×C22⋊Q8×C59C211yesmaximal, characteristic, complemented
29C2×C59×#390C211yesmaximal, characteristic, complemented
30C59×#2290C211yesmaximal, characteristic, complemented
31C59×#2273C211yesmaximal, characteristic, complemented
32C23×D4×C59C2211yescharacteristic
33C2×#126×C59C2211yescharacteristic, complemented
34C2×#126×C59C2211yescharacteristic, complemented
35C2×#125×C59C2211yescharacteristic, complemented
36C2×#124×C59C2211yescharacteristic, complemented
37C2×#123×C59C2211yescharacteristic
38C2×#123×C59C2211yescharacteristic
39C2×#123×C59C2211yescharacteristic, complemented
40C2×C22⋊Q8×C59C2211yescharacteristic
41C2×C22⋊Q8×C59C2211yescharacteristic, complemented
42C2×#121×C59C2211yescharacteristic
43C2×#121×C59C2211yescharacteristic
44C2×#120×C59C2211yescharacteristic
45C2×#120×C59C2211yescharacteristic
46C2×C4×Q8×C59C2211yescharacteristic, complemented
47C2×C4×D4×C59C2211yescharacteristic
48C2×#117×C59C2211yescharacteristic, complemented
49C22×C4⋊C4×C59C2211yescharacteristic
50C22×C22⋊C4×C59C2211yescharacteristic
51C22×C22⋊C4×C59C2211yescharacteristic
52C22×C22⋊C4×C59C2211yescharacteristic
53C22×C22⋊C4×C59C2211yescharacteristic
54C22×C22⋊C4×C59C2211yescharacteristic
55C22×C22⋊C4×C59C2211yescharacteristic
56C22×C42×C59C2211yescharacteristic
57C59×#400C2211yescharacteristic, complemented
58C59×#400C2211yescharacteristic, complemented
59C59×#400C2211yescharacteristic, complemented
60C59×#399C2211yescharacteristic, complemented
61C59×#398C2211yescharacteristic, complemented
62C59×#398C2211yescharacteristic, complemented
63C59×#398C2211yescharacteristic, complemented
64C59×#397C2211yescharacteristic, complemented
65C59×#397C2211yescharacteristic, complemented
66C59×#397C2211yescharacteristic, complemented
67C59×#397C2211yescharacteristic, complemented
68C59×#397C2211yescharacteristic, complemented
69C59×#397C2211yescharacteristic, complemented
70C59×#397C2211yescharacteristic, complemented
71C59×#396C2211yescharacteristic, complemented
72C59×#396C2211yescharacteristic, complemented
73C59×#396C2211yescharacteristic, complemented
74C59×#396C2211yescharacteristic, complemented
75C59×#394C2211yescharacteristic
76C59×#394C2211yescharacteristic
77C59×#394C2211yescharacteristic
78C59×#394C2211yescharacteristic
79C59×#394C2211yescharacteristic
80C59×#394C2211yescharacteristic
81C59×#394C2211yescharacteristic, complemented
82C59×#394C2211yescharacteristic, complemented
83C59×#394C2211yescharacteristic, complemented
84C59×#394C2211yescharacteristic, complemented
85C59×#393C2211yescharacteristic, complemented
86C59×#393C2211yescharacteristic, complemented
87C59×#392C2211yescharacteristic
88C59×#392C2211yescharacteristic
89C59×#391C2211yescharacteristic, complemented
90C59×#390C2211yescharacteristic
91C59×#390C2211yescharacteristic
92C59×#390C2211yescharacteristic
93C59×#390C2211yescharacteristic
94C59×#390C2211yescharacteristic
95C59×#390C2211yescharacteristic
96C59×#390C2211yescharacteristic
97C59×#390C2211yescharacteristic
98C59×#390C2211yescharacteristic, complemented
99C59×#390C2211yescharacteristic, complemented
100C59×#390C2211yescharacteristic, complemented
101C59×#390C2211yescharacteristic, complemented
102C59×#390C2211yescharacteristic, complemented
103C59×#389C2211yescharacteristic, complemented
104C59×#389C2211yescharacteristic, complemented
105C59×#388C2211yescharacteristic, complemented
106C59×#388C2211yescharacteristic, complemented
107C59×#388C2211yescharacteristic, complemented
108C59×#388C2211yescharacteristic, complemented
109C59×#388C2211yescharacteristic, complemented
110C59×#388C2211yescharacteristic, complemented
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×#387C2211yescharacteristic, complemented
130C59×#387C2211yescharacteristic, complemented
131C59×#387C2211yescharacteristic, complemented
132C59×#387C2211yescharacteristic, complemented
133C59×#387C2211yescharacteristic, complemented
134C59×#387C2211yescharacteristic, complemented
135C59×#387C2211yescharacteristic, complemented
136C59×#387C2211yescharacteristic, complemented
137C59×#386C2211yescharacteristic
138C59×#386C2211yescharacteristic
139C59×#386C2211yescharacteristic
140C59×#386C2211yescharacteristic
141C59×#386C2211yescharacteristic
142C59×#386C2211yescharacteristic
143C59×#386C2211yescharacteristic
144C59×#386C2211yescharacteristic
145C59×#386C2211yescharacteristic, complemented
146C59×#386C2211yescharacteristic, complemented
147C59×#386C2211yescharacteristic, complemented
148C59×#386C2211yescharacteristic, complemented
149C59×#386C2211yescharacteristic, complemented
150C59×#385C2211yescharacteristic
151C59×#385C2211yescharacteristic
152C59×#385C2211yescharacteristic
153C59×#385C2211yescharacteristic
154C59×#385C2211yescharacteristic
155C59×#385C2211yescharacteristic
156C59×#385C2211yescharacteristic, complemented
157C59×#385C2211yescharacteristic, complemented
158C59×#385C2211yescharacteristic, complemented
159C59×#381C2211yescharacteristic, complemented
160C59×#380C2211yescharacteristic
161C59×#380C2211yescharacteristic
162C59×#380C2211yescharacteristic
163C59×#380C2211yescharacteristic, complemented
164C59×#379C2211yescharacteristic
165C59×#379C2211yescharacteristic
166C59×#379C2211yescharacteristic
167C59×#379C2211yescharacteristic
168C4×C4⋊C4×C59C2211yescharacteristic, complemented
169C4×C4⋊C4×C59C2211yescharacteristic, complemented
170C4×C4⋊C4×C59C2211yescharacteristic, complemented
171C4×C4⋊C4×C59C2211yescharacteristic, complemented
172C4×C22⋊C4×C59C2211yescharacteristic
173C4×C22⋊C4×C59C2211yescharacteristic
174C4×C22⋊C4×C59C2211yescharacteristic
175C4×C22⋊C4×C59C2211yescharacteristic
176C4×C22⋊C4×C59C2211yescharacteristic
177C4×C22⋊C4×C59C2211yescharacteristic, complemented
178C4×C22⋊C4×C59C2211yescharacteristic, complemented
179C4×C22⋊C4×C59C2211yescharacteristic, complemented
180C4×C22⋊C4×C59C2211yescharacteristic, complemented
181C4×C22⋊C4×C59C2211yescharacteristic, complemented
182C4×C22⋊C4×C59C2211yescharacteristic, complemented
183C4×C22⋊C4×C59C2211yescharacteristic, complemented
184C4×C22⋊C4×C59C2211yescharacteristic, complemented
185C4×C22⋊C4×C59C2211yescharacteristic, complemented
186C59×#376C2211yescharacteristic, 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#126×C59—42no—
214#125×C59—42no—
215#124×C59—42no—
216#123×C59—42no—
217#123×C59—42no—
218#123×C59—42no—
219C22⋊Q8×C59—24no—
220C22⋊Q8×C59—42no—
221#121×C59—42no—
222#121×C59—42no—
223#120×C59—24no—
224#120×C59—24no—
225C4×Q8×C59—42no—
226C4×D4×C59—24no—
227#117×C59—42no—
228C2×C4⋊C4×C59—42no—
229C2×C4⋊C4×C59C2311yescharacteristic
230C2×C4⋊C4×C59C2311yescharacteristic
231C2×C4⋊C4×C59C2311yescharacteristic
232C2×C4⋊C4×C59C2311yescharacteristic
233C2×C4⋊C4×C59C2311yescharacteristic
234C2×C4⋊C4×C59C2311yescharacteristic
235C2×C4⋊C4×C59C2311yescharacteristic
236C2×C4⋊C4×C59C2311yescharacteristic
237C2×C4⋊C4×C59C2311yescharacteristic
238C2×C4⋊C4×C59C2311yescharacteristic
239C2×C4⋊C4×C59C2311yescharacteristic
240C2×C4⋊C4×C59C2311yescharacteristic
241C2×C4⋊C4×C59C2311yescharacteristic
242C2×C4⋊C4×C59C2311yescharacteristic
243C2×C4⋊C4×C59C2311yescharacteristic
244C2×C4⋊C4×C59C2311yescharacteristic
245C2×C4⋊C4×C59C2311yescharacteristic
246C2×C4⋊C4×C59C2311yescharacteristic
247C2×C4⋊C4×C59C2311yescharacteristic
248C2×C4⋊C4×C59C2311yescharacteristic
249C2×C4⋊C4×C59C2311yescharacteristic
250C2×C4⋊C4×C59C2311yescharacteristic
251C2×C4⋊C4×C59C2311yescharacteristic
252C2×C4⋊C4×C59C2311yescharacteristic
253C2×C4⋊C4×C59C2311yescharacteristic
254C2×C4⋊C4×C59C2311yescharacteristic
255C2×C22⋊C4×C59—24no—
256C2×C22⋊C4×C59—24no—
257C2×C22⋊C4×C59—24no—
258C2×C22⋊C4×C59—24no—
259C2×C22⋊C4×C59—42no—
260C2×C22⋊C4×C59—42no—
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×C22⋊C4×C59C2311yescharacteristic
312C2×C22⋊C4×C59C2311yescharacteristic
313C2×C22⋊C4×C59C2311yescharacteristic
314C2×C22⋊C4×C59C2311yescharacteristic
315C2×C22⋊C4×C59C2311yescharacteristic
316C2×C22⋊C4×C59C2311yescharacteristic
317C2×C42×C59—42no—
318C2×C42×C59C2311yescharacteristic
319C2×C42×C59C2311yescharacteristic
320C2×C42×C59C2311yescharacteristic
321C2×C42×C59C2311yescharacteristic
322C2×C42×C59C2311yescharacteristic
323C2×C42×C59C2311yescharacteristic
324C2×C42×C59C2311yescharacteristic
325C2×C42×C59C2311yescharacteristic
326C2×C42×C59C2311yescharacteristic
327C2×C42×C59C2311yescharacteristic
328C2×C42×C59C2311yescharacteristic
329C2×C42×C59C2311yescharacteristic
330C2×C42×C59C2311yescharacteristic
331C2×C42×C59C2311yescharacteristic
332C2×C42×C59C2311yescharacteristic
333#95×C59C2311yescharacteristic
334#95×C59C2311yescharacteristic
335#95×C59C2311yescharacteristic
336#95×C59C2311yescharacteristic
337#95×C59C2311yescharacteristic
338#95×C59C2311yescharacteristic
339#95×C59C2311yescharacteristic
340#95×C59C2311yescharacteristic
341#95×C59C2311yescharacteristic
342#95×C59C2311yescharacteristic
343#95×C59C2311yescharacteristic
344#95×C59C2311yescharacteristic
345#95×C59C2311yescharacteristic
346#95×C59C2311yescharacteristic
347#95×C59C2311yescharacteristic
348#95×C59C2311yescharacteristic
349#95×C59C2311yescharacteristic
350#95×C59C2311yescharacteristic
351#95×C59C2311yescharacteristic
352#95×C59C2311yescharacteristic
353#95×C59C2311yescharacteristic
354#95×C59C2311yescharacteristic
355#95×C59C2311yescharacteristic
356#95×C59C2311yescharacteristic
357#95×C59C2311yescharacteristic
358#95×C59C2311yescharacteristic
359#95×C59C2311yescharacteristic
360#95×C59C2311yescharacteristic
361#95×C59C2311yescharacteristic
362#95×C59C2311yescharacteristic
363#95×C59C2311yescharacteristic
364#95×C59C2311yescharacteristic
365#95×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369C24×C59—22no—
370C24×C59—22no—
371C24×C59—22no—
372C24×C59—22no—
373C24×C59—22no—
374C24×C59—41no—
375C24×C59—41no—
376C24×C59—41no—
377C24×C59—41no—
378C24×C59—41no—
379C24×C59—41no—
380C24×C59—41no—
381C24×C59—41no—
382C24×C59#4114yes—
383C24×C59C2411yescharacteristic
384C24×C59C2411yescharacteristic
385C24×C59C2411yescharacteristic
386C24×C59C2411yescharacteristic
387C24×C59C2411yescharacteristic
388C24×C59C2411yescharacteristic
389C2×Q8×C59—22no—
390C2×Q8×C59—22no—
391C2×Q8×C59—41no—
392C2×D4×C59—22no—
393C2×D4×C59—22no—
394C2×D4×C59—22no—
395C2×D4×C59—22no—
396C2×D4×C59—22no—
397C2×D4×C59—22no—
398C2×D4×C59—22no—
399C2×D4×C59—22no—
400C2×D4×C59—22no—
401C2×D4×C59—22no—
402C2×D4×C59—22no—
403C2×D4×C59—22no—
404C2×D4×C59—22no—
405C2×D4×C59—22no—
406C2×D4×C59—22no—
407C2×D4×C59—41no—
408C2×D4×C59—41no—
409C2×D4×C59—41no—
410C2×D4×C59—41no—
411C2×D4×C59—416no—
412C2×D4×C59—41no—
413C2×D4×C59—41no—
414C2×D4×C59—41no—
415C2×D4×C59—41no—
416C2×D4×C59—41no—
417C2×D4×C59—41no—
418C2×D4×C59—41no—
419C2×D4×C59—41no—
420C22×C4×C59—22no—
421C22×C4×C59—22no—
422C22×C4×C59—22no—
423C22×C4×C59—22no—
424C22×C4×C59—22no—
425C22×C4×C59—22no—
426C22×C4×C59—22no—
427C22×C4×C59—22no—
428C22×C4×C59—22no—
429C22×C4×C59—22no—
430C22×C4×C59—22no—
431C22×C4×C59—22no—
432C22×C4×C59—41no—
433C22×C4×C59—41no—
434C22×C4×C59—41no—
435C22×C4×C59—41no—
436C22×C4×C59—41no—
437C22×C4×C59—41no—
438C22×C4×C59—41no—
439C22×C4×C59—41no—
440C22×C4×C59—41no—
441C22×C4×C59—41no—
442C22×C4×C59—41no—
443C22×C4×C59—41no—
444C22×C4×C59—41no—
445C22×C4×C59—41no—
446C22×C4×C59—41no—
447C22×C4×C59—41no—
448C22×C4×C59—41no—
449C22×C4×C59#4114yes—
450C22×C4×C59C2411yescharacteristic
451C22×C4×C59C2411yescharacteristic
452C22×C4×C59C2411yescharacteristic
453C22×C4×C59C2411yescharacteristic
454C22×C4×C59C2411yescharacteristic
455C22×C4×C59C2411yescharacteristic
456C22×C4×C59C2411yescharacteristic
457C22×C4×C59C2411yescharacteristic
458C22×C4×C59C2411yescharacteristic
459C22×C4×C59C2411yescharacteristic
460C22×C4×C59C2411yescharacteristic
461C22×C4×C59C2411yescharacteristic
462C22×C4×C59C2411yescharacteristic
463C22×C4×C59C2411yescharacteristic
464C22×C4×C59C2411yescharacteristic
465C22×C4×C59C2411yescharacteristic
466C22×C4×C59C2411yescharacteristic
467C22×C4×C59C2411yescharacteristic
468C22×C4×C59C2411yescharacteristic
469C22×C4×C59C2411yescharacteristic
470C22×C4×C59C2411yescharacteristic
471C22×C4×C59C2411yescharacteristic
472C22×C4×C59C2411yescharacteristic
473C22×C4×C59C2411yescharacteristic
474C22×C4×C59C2411yescharacteristic
475C4⋊C4×C59—22no—
476C4⋊C4×C59—22no—
477C4⋊C4×C59—22no—
478C4⋊C4×C59—22no—
479C4⋊C4×C59—22no—
480C4⋊C4×C59—22no—
481C4⋊C4×C59—22no—
482C4⋊C4×C59—22no—
483C4⋊C4×C59—22no—
484C4⋊C4×C59—22no—
485C4⋊C4×C59—22no—
486C4⋊C4×C59—22no—
487C4⋊C4×C59—22no—
488C4⋊C4×C59—22no—
489C4⋊C4×C59—41no—
490C4⋊C4×C59—41no—
491C4⋊C4×C59—41no—
492C4⋊C4×C59—41no—
493C4⋊C4×C59—41no—
494C4⋊C4×C59—41no—
495C4⋊C4×C59—41no—
496C4⋊C4×C59—41no—
497C4⋊C4×C59—41no—
498C4⋊C4×C59—41no—
499C4⋊C4×C59—41no—
500C4⋊C4×C59—41no—
501C22⋊C4×C59—22no—
502C22⋊C4×C59—22no—
503C22⋊C4×C59—22no—
504C22⋊C4×C59—22no—
505C22⋊C4×C59—22no—
506C22⋊C4×C59—22no—
507C22⋊C4×C59—22no—
508C22⋊C4×C59—22no—
509C22⋊C4×C59—22no—
510C22⋊C4×C59—22no—
511C22⋊C4×C59—22no—
512C22⋊C4×C59—22no—
513C22⋊C4×C59—22no—
514C22⋊C4×C59—22no—
515C22⋊C4×C59—22no—
516C22⋊C4×C59—22no—
517C22⋊C4×C59—22no—
518C22⋊C4×C59—22no—
519C22⋊C4×C59—22no—
520C22⋊C4×C59—22no—
521C22⋊C4×C59—22no—
522C22⋊C4×C59—22no—
523C22⋊C4×C59—22no—
524C22⋊C4×C59—22no—
525C22⋊C4×C59—22no—
526C22⋊C4×C59—22no—
527C22⋊C4×C59—22no—
528C22⋊C4×C59—22no—
529C22⋊C4×C59—22no—
530C22⋊C4×C59—22no—
531C22⋊C4×C59—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—
551C22⋊C4×C59—41no—
552C22⋊C4×C59—41no—
553C22⋊C4×C59—41no—
554C22⋊C4×C59—41no—
555C22⋊C4×C59—41no—
556C22⋊C4×C59#4114yes—
557C42×C59—22no—
558C42×C59—22no—
559C42×C59—22no—
560C42×C59—41no—
561C42×C59—41no—
562C42×C59—41no—
563C42×C59—41no—
564C42×C59—41no—
565C42×C59—41no—
566C42×C59—41no—
567C42×C59—41no—
568C42×C59—41no—
569C42×C59—41no—
570C42×C59—41no—
571C42×C59—41no—
572C23×C59—21no—
573C23×C59—21no—
574C23×C59—21no—
575C23×C59—21no—
576C23×C59—21no—
577C23×C59—21no—
578C23×C59—21no—
579C23×C59—21no—
580C23×C59—21no—
581C23×C59—21no—
582C23×C59—21no—
583C23×C59—21no—
584C23×C59—21no—
585C23×C59—21no—
586C23×C59—21no—
587C23×C59—21no—
588C23×C59—28no—
589C23×C59—21no—
590C23×C59—21no—
591C23×C59—21no—
592C23×C59—21no—
593C23×C59—21no—
594C23×C59—21no—
595C23×C59—21no—
596C23×C59—21no—
597C23×C59—21no—
598C23×C59—21no—
599C23×C59—21no—
600C23×C59—21no—
601C23×C59—21no—
602C23×C59—21no—
603C23×C59—21no—
604C23×C59—21no—
605C23×C59—21no—
606C23×C59—21no—
607C23×C59—21no—
608C23×C59—21no—
609C23×C59—21no—
610C23×C59—44no—
611C23×C59—44no—
612C23×C59—44no—
613C23×C59—44no—
614C23×C59—44no—
615C23×C59—82no—
616C23×C59—82no—
617C23×C59—82no—
618C23×C59—82no—
619C23×C59—82no—
620C23×C59—82no—
621C23×C59—82no—
622C23×C59—82no—
623C23×C59C2×#4112yes—
624C23×C59C2×#4112yes—
625C23×C59C2×#4112yes—
626C23×C59C2×#4112yes—
627C23×C59C2×#4112yes—
628C23×C59C2511yescharacteristic
629Q8×C59—44no—
630D4×C59—44no—
631D4×C59—44no—
632D4×C59—44no—
633D4×C59—44no—
634D4×C59—44no—
635D4×C59—82no—
636D4×C59—82no—
637D4×C59—82no—
638D4×C59—82no—
639C2×C4×C59—28no—
640C2×C4×C59—21no—
641C2×C4×C59—21no—
642C2×C4×C59—21no—
643C2×C4×C59—21no—
644C2×C4×C59—21no—
645C2×C4×C59—21no—
646C2×C4×C59—21no—
647C2×C4×C59—21no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—21no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59—21no—
665C2×C4×C59—21no—
666C2×C4×C59—21no—
667C2×C4×C59—21no—
668C2×C4×C59—21no—
669C2×C4×C59—21no—
670C2×C4×C59—21no—
671C2×C4×C59—21no—
672C2×C4×C59—21no—
673C2×C4×C59—21no—
674C2×C4×C59—21no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—21no—
679C2×C4×C59—21no—
680C2×C4×C59—21no—
681C2×C4×C59—21no—
682C2×C4×C59—21no—
683C2×C4×C59—21no—
684C2×C4×C59—21no—
685C2×C4×C59—21no—
686C2×C4×C59—21no—
687C2×C4×C59—21no—
688C2×C4×C59—21no—
689C2×C4×C59—21no—
690C2×C4×C59—21no—
691C2×C4×C59—21no—
692C2×C4×C59—21no—
693C2×C4×C59—21no—
694C2×C4×C59—21no—
695C2×C4×C59—21no—
696C2×C4×C59—21no—
697C2×C4×C59—21no—
698C2×C4×C59—21no—
699C2×C4×C59—21no—
700C2×C4×C59—21no—
701C2×C4×C59—21no—
702C2×C4×C59—21no—
703C2×C4×C59—21no—
704C2×C4×C59—21no—
705C2×C4×C59—21no—
706C2×C4×C59—21no—
707C2×C4×C59—21no—
708C2×C4×C59—44no—
709C2×C4×C59—44no—
710C2×C4×C59—44no—
711C2×C4×C59—82no—
712C2×C4×C59—82no—
713C2×C4×C59—82no—
714C2×C4×C59—82no—
715C2×C4×C59—82no—
716C2×C4×C59—82no—
717C2×C4×C59C2×#4112yes—
718C2×C4×C59C2×#4112yes—
719C2×C4×C59C2×#4112yes—
720C2×C4×C59C2×#4112yes—
721C2×C4×C59H(5,𝔽2)12yes—
722C2×C4×C59H(5,𝔽2)12yes—
723C2×C4×C59H(5,𝔽2)12yes—
724#35378C5911yesmaximal, characteristic, direct product factor, Sylow
725C22×C59—22no—
726C22×C59—22no—
727C22×C59—22no—
728C22×C59—22no—
729C22×C59—22no—
730C22×C59—22no—
731C22×C59—22no—
732C22×C59—22no—
733C22×C59—22no—
734C22×C59—22no—
735C22×C59—22no—
736C22×C59—22no—
737C22×C59—41no—
738C22×C59—41no—
739C22×C59—41no—
740C22×C59—41no—
741C22×C59—41no—
742C22×C59—41no—
743C22×C59—41no—
744C22×C59—41no—
745C22×C59—41no—
746C22×C59—41no—
747C22×C59—41no—
748C22×C59—41no—
749C22×C59—41no—
750C22×C59—41no—
751C22×C59—41no—
752C22×C59—41no—
753C22×C59—41no—
754C22×C59—41no—
755C22×C59—41no—
756C22×C59—41no—
757C22×C59—41no—
758C22×C59—41no—
759C22×C59—41no—
760C22×C59—41no—
761C22×C59—41no—
762C22×C59—41no—
763C22×C59—41no—
764C22×C59—41no—
765C22×C59—41no—
766C22×C59—88no—
767C22×C59—88no—
768C22×C59#52914yes—
769C22×C59C22×#4111yescharacteristic
770C22×C59C22×#4111yescharacteristic
771C22×C59C22×#4111yescharacteristic
772C22×C59C2×H(5,𝔽2)11yescharacteristic
773C22×C59C2×H(5,𝔽2)11yescharacteristic
774C22×C59C2×H(5,𝔽2)11yescharacteristic
775C22×C59#58511yescharacteristic
776C4×C59—22no—
777C4×C59—22no—
778C4×C59—22no—
779C4×C59—22no—
780C4×C59—22no—
781C4×C59—22no—
782C4×C59—22no—
783C4×C59—41no—
784C4×C59—41no—
785C4×C59—41no—
786C4×C59—41no—
787C4×C59—41no—
788C4×C59—41no—
789C4×C59—41no—
790C4×C59—41no—
791C4×C59—41no—
792C4×C59—41no—
793C4×C59—41no—
794C4×C59—41no—
795C4×C59—41no—
796C4×C59—41no—
797C4×C59—41no—
798C4×C59—41no—
799C4×C59—41no—
800C4×C59—41no—
801#2597C2×C5911yescharacteristic, complemented
802#2595C2×C5911yescharacteristic, complemented
803#2560C2×C5911yescharacteristic, complemented
804#2559C2×C5911yescharacteristic, complemented
805#2558C2×C5911yescharacteristic, complemented
806#2557C2×C5911yescharacteristic, complemented
807#2554C2×C5911yescharacteristic, complemented
808#2554C2×C5911yescharacteristic, complemented
809#2531C2×C5911yescharacteristic, complemented
810#2526C2×C5911yescharacteristic, complemented
811#2516C2×C5911yescharacteristic, complemented
812#2490C2×C5911yescharacteristic, complemented
813#2481C2×C5911yescharacteristic, complemented
814#2480C2×C5911yescharacteristic, complemented
815#2476C2×C5911yescharacteristic, complemented
816#2473C2×C5911yescharacteristic, complemented
817#2472C2×C5911yescharacteristic, complemented
818#2471C2×C5911yescharacteristic, complemented
819#2458C2×C5911yescharacteristic, complemented
820#2437C2×C5911yescharacteristic, complemented
821#2426C2×C5911yescharacteristic, complemented
822#2412C2×C5911yescharacteristic, complemented
823#2410C2×C5911yescharacteristic
824#2405C2×C5911yescharacteristic, complemented
825#2321C2×C5911yescharacteristic, complemented
826#2321C2×C5911yescharacteristic, complemented
827#2312C2×C5911yescharacteristic, complemented
828C4×C22⋊Q8C2×C5911yescharacteristic, complemented
829C2×#390C2×C5911yescharacteristic, complemented
830#2290C2×C5911yescharacteristic, complemented
831#2273C2×C5911yescharacteristic, complemented
832C2×C59—24no—
833C2×C59—42no—
834C2×C59—42no—
835C2×C59—81no—
836C2×C59—81no—
837C2×C59—81no—
838C2×C59C2×#52911yescharacteristic
839C2×C59#349011yescharacteristic
840C2×C59#350511yescharacteristic
841C2×C59#350511yescharacteristic
842C2×C59#350811yescharacteristic
843C2×C59#351411yescharacteristic
844C2×C59#351911yescharacteristic
845C23×D4C22×C5911yescharacteristic
846C2×#126C22×C5911yescharacteristic, complemented
847C2×#126C22×C5911yescharacteristic, complemented
848C2×#125C22×C5911yescharacteristic, complemented
849C2×#124C22×C5911yescharacteristic, complemented
850C2×#123C22×C5911yescharacteristic
851C2×#123C22×C5911yescharacteristic
852C2×#123C22×C5911yescharacteristic, complemented
853C2×C22⋊Q8C22×C5911yescharacteristic
854C2×C22⋊Q8C22×C5911yescharacteristic, complemented
855C2×#121C22×C5911yescharacteristic
856C2×#121C22×C5911yescharacteristic
857C2×#120C22×C5911yescharacteristic
858C2×#120C22×C5911yescharacteristic
859C2×C4×Q8C22×C5911yescharacteristic, complemented
860C2×C4×D4C22×C5911yescharacteristic
861C2×#117C22×C5911yescharacteristic, complemented
862C22×C4⋊C4C22×C5911yescharacteristic
863C22×C22⋊C4C22×C5911yescharacteristic
864C22×C22⋊C4C22×C5911yescharacteristic
865C22×C22⋊C4C22×C5911yescharacteristic
866C22×C22⋊C4C22×C5911yescharacteristic
867C22×C22⋊C4C22×C5911yescharacteristic
868C22×C22⋊C4C22×C5911yescharacteristic
869C22×C42C22×C5911yescharacteristic
870#400C22×C5911yescharacteristic, complemented
871#400C22×C5911yescharacteristic, complemented
872#400C22×C5911yescharacteristic, complemented
873#399C22×C5911yescharacteristic, complemented
874#398C22×C5911yescharacteristic, complemented
875#398C22×C5911yescharacteristic, complemented
876#398C22×C5911yescharacteristic, complemented
877#397C22×C5911yescharacteristic, complemented
878#397C22×C5911yescharacteristic, complemented
879#397C22×C5911yescharacteristic, complemented
880#397C22×C5911yescharacteristic, complemented
881#397C22×C5911yescharacteristic, complemented
882#397C22×C5911yescharacteristic, complemented
883#397C22×C5911yescharacteristic, complemented
884#396C22×C5911yescharacteristic, complemented
885#396C22×C5911yescharacteristic, complemented
886#396C22×C5911yescharacteristic, complemented
887#396C22×C5911yescharacteristic, complemented
888#394C22×C5911yescharacteristic
889#394C22×C5911yescharacteristic
890#394C22×C5911yescharacteristic
891#394C22×C5911yescharacteristic
892#394C22×C5911yescharacteristic
893#394C22×C5911yescharacteristic
894#394C22×C5911yescharacteristic, complemented
895#394C22×C5911yescharacteristic, complemented
896#394C22×C5911yescharacteristic, complemented
897#394C22×C5911yescharacteristic, complemented
898#393C22×C5911yescharacteristic, complemented
899#393C22×C5911yescharacteristic, complemented
900#392C22×C5911yescharacteristic
901#392C22×C5911yescharacteristic
902#391C22×C5911yescharacteristic, complemented
903#390C22×C5911yescharacteristic
904#390C22×C5911yescharacteristic
905#390C22×C5911yescharacteristic
906#390C22×C5911yescharacteristic
907#390C22×C5911yescharacteristic
908#390C22×C5911yescharacteristic
909#390C22×C5911yescharacteristic
910#390C22×C5911yescharacteristic
911#390C22×C5911yescharacteristic, complemented
912#390C22×C5911yescharacteristic, complemented
913#390C22×C5911yescharacteristic, complemented
914#390C22×C5911yescharacteristic, complemented
915#390C22×C5911yescharacteristic, complemented
916#389C22×C5911yescharacteristic, complemented
917#389C22×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#388C22×C5911yescharacteristic, complemented
930#388C22×C5911yescharacteristic, complemented
931#388C22×C5911yescharacteristic, complemented
932#388C22×C5911yescharacteristic, complemented
933#388C22×C5911yescharacteristic, complemented
934#388C22×C5911yescharacteristic, complemented
935#388C22×C5911yescharacteristic, complemented
936#388C22×C5911yescharacteristic, complemented
937#388C22×C5911yescharacteristic, complemented
938#388C22×C5911yescharacteristic, complemented
939#388C22×C5911yescharacteristic, complemented
940#388C22×C5911yescharacteristic, complemented
941#388C22×C5911yescharacteristic, complemented
942#387C22×C5911yescharacteristic, complemented
943#387C22×C5911yescharacteristic, complemented
944#387C22×C5911yescharacteristic, complemented
945#387C22×C5911yescharacteristic, complemented
946#387C22×C5911yescharacteristic, complemented
947#387C22×C5911yescharacteristic, complemented
948#387C22×C5911yescharacteristic, complemented
949#387C22×C5911yescharacteristic, complemented
950#386C22×C5911yescharacteristic
951#386C22×C5911yescharacteristic
952#386C22×C5911yescharacteristic
953#386C22×C5911yescharacteristic
954#386C22×C5911yescharacteristic
955#386C22×C5911yescharacteristic
956#386C22×C5911yescharacteristic
957#386C22×C5911yescharacteristic
958#386C22×C5911yescharacteristic, complemented
959#386C22×C5911yescharacteristic, complemented
960#386C22×C5911yescharacteristic, complemented
961#386C22×C5911yescharacteristic, complemented
962#386C22×C5911yescharacteristic, complemented
963#385C22×C5911yescharacteristic
964#385C22×C5911yescharacteristic
965#385C22×C5911yescharacteristic
966#385C22×C5911yescharacteristic
967#385C22×C5911yescharacteristic
968#385C22×C5911yescharacteristic
969#385C22×C5911yescharacteristic, complemented
970#385C22×C5911yescharacteristic, complemented
971#385C22×C5911yescharacteristic, complemented
972#381C22×C5911yescharacteristic, complemented
973#380C22×C5911yescharacteristic
974#380C22×C5911yescharacteristic
975#380C22×C5911yescharacteristic
976#380C22×C5911yescharacteristic, complemented
977#379C22×C5911yescharacteristic
978#379C22×C5911yescharacteristic
979#379C22×C5911yescharacteristic
980#379C22×C5911yescharacteristic
981C4×C4⋊C4C22×C5911yescharacteristic, complemented
982C4×C4⋊C4C22×C5911yescharacteristic, complemented
983C4×C4⋊C4C22×C5911yescharacteristic, complemented
984C4×C4⋊C4C22×C5911yescharacteristic, complemented
985C4×C22⋊C4C22×C5911yescharacteristic
986C4×C22⋊C4C22×C5911yescharacteristic
987C4×C22⋊C4C22×C5911yescharacteristic
988C4×C22⋊C4C22×C5911yescharacteristic
989C4×C22⋊C4C22×C5911yescharacteristic
990C4×C22⋊C4C22×C5911yescharacteristic, complemented
991C4×C22⋊C4C22×C5911yescharacteristic, complemented
992C4×C22⋊C4C22×C5911yescharacteristic, complemented
993C4×C22⋊C4C22×C5911yescharacteristic, complemented
994C4×C22⋊C4C22×C5911yescharacteristic, complemented
995C4×C22⋊C4C22×C5911yescharacteristic, complemented
996C4×C22⋊C4C22×C5911yescharacteristic, complemented
997C4×C22⋊C4C22×C5911yescharacteristic, complemented
998C4×C22⋊C4C22×C5911yescharacteristic, complemented
999#376C22×C5911yescharacteristic, complemented
1000C59#3537811yescharacteristic, direct product factor, Sylow
1001C25C23×C5911yescharacteristic
1002C25C23×C5911yescharacteristic
1003C22×Q8C23×C5911yescharacteristic
1004C22×D4—24no—
1005C22×D4—42no—
1006C22×D4—42no—
1007C22×D4C23×C5911yescharacteristic
1008C22×D4C23×C5911yescharacteristic
1009C22×D4C23×C5911yescharacteristic
1010C22×D4C23×C5911yescharacteristic
1011C22×D4C23×C5911yescharacteristic
1012C22×D4C23×C5911yescharacteristic
1013C22×D4C23×C5911yescharacteristic
1014C22×D4C23×C5911yescharacteristic
1015C22×D4C23×C5911yescharacteristic
1016C23×C4C23×C5911yescharacteristic
1017C23×C4C23×C5911yescharacteristic
1018C23×C4C23×C5911yescharacteristic
1019C23×C4C23×C5911yescharacteristic
1020C23×C4C23×C5911yescharacteristic
1021C23×C4C23×C5911yescharacteristic
1022C23×C4C23×C5911yescharacteristic
1023C23×C4C23×C5911yescharacteristic
1024C23×C4C23×C5911yescharacteristic
1025C23×C4C23×C5911yescharacteristic
1026#126—42no—
1027#126—42no—
1028#125—42no—
1029#124—42no—
1030#123—42no—
1031#123—42no—
1032#123—42no—
1033C22⋊Q8—24no—
1034C22⋊Q8—42no—
1035#121—42no—
1036#121—42no—
1037#120—24no—
1038#120—24no—
1039C4×Q8—42no—
1040C4×D4—24no—
1041#117—42no—
1042C2×C4⋊C4—42no—
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×C4⋊C4C23×C5911yescharacteristic
1052C2×C4⋊C4C23×C5911yescharacteristic
1053C2×C4⋊C4C23×C5911yescharacteristic
1054C2×C4⋊C4C23×C5911yescharacteristic
1055C2×C4⋊C4C23×C5911yescharacteristic
1056C2×C4⋊C4C23×C5911yescharacteristic
1057C2×C4⋊C4C23×C5911yescharacteristic
1058C2×C4⋊C4C23×C5911yescharacteristic
1059C2×C4⋊C4C23×C5911yescharacteristic
1060C2×C4⋊C4C23×C5911yescharacteristic
1061C2×C4⋊C4C23×C5911yescharacteristic
1062C2×C4⋊C4C23×C5911yescharacteristic
1063C2×C4⋊C4C23×C5911yescharacteristic
1064C2×C4⋊C4C23×C5911yescharacteristic
1065C2×C4⋊C4C23×C5911yescharacteristic
1066C2×C4⋊C4C23×C5911yescharacteristic
1067C2×C4⋊C4C23×C5911yescharacteristic
1068C2×C4⋊C4C23×C5911yescharacteristic
1069C2×C22⋊C4—24no—
1070C2×C22⋊C4—24no—
1071C2×C22⋊C4—24no—
1072C2×C22⋊C4—24no—
1073C2×C22⋊C4—42no—
1074C2×C22⋊C4—42no—
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×C22⋊C4C23×C5911yescharacteristic
1112C2×C22⋊C4C23×C5911yescharacteristic
1113C2×C22⋊C4C23×C5911yescharacteristic
1114C2×C22⋊C4C23×C5911yescharacteristic
1115C2×C22⋊C4C23×C5911yescharacteristic
1116C2×C22⋊C4C23×C5911yescharacteristic
1117C2×C22⋊C4C23×C5911yescharacteristic
1118C2×C22⋊C4C23×C5911yescharacteristic
1119C2×C22⋊C4C23×C5911yescharacteristic
1120C2×C22⋊C4C23×C5911yescharacteristic
1121C2×C22⋊C4C23×C5911yescharacteristic
1122C2×C22⋊C4C23×C5911yescharacteristic
1123C2×C22⋊C4C23×C5911yescharacteristic
1124C2×C22⋊C4C23×C5911yescharacteristic
1125C2×C22⋊C4C23×C5911yescharacteristic
1126C2×C22⋊C4C23×C5911yescharacteristic
1127C2×C22⋊C4C23×C5911yescharacteristic
1128C2×C22⋊C4C23×C5911yescharacteristic
1129C2×C22⋊C4C23×C5911yescharacteristic
1130C2×C22⋊C4C23×C5911yescharacteristic
1131C2×C42—42no—
1132C2×C42C23×C5911yescharacteristic
1133C2×C42C23×C5911yescharacteristic
1134C2×C42C23×C5911yescharacteristic
1135C2×C42C23×C5911yescharacteristic
1136C2×C42C23×C5911yescharacteristic
1137C2×C42C23×C5911yescharacteristic
1138C2×C42C23×C5911yescharacteristic
1139C2×C42C23×C5911yescharacteristic
1140C2×C42C23×C5911yescharacteristic
1141C2×C42C23×C5911yescharacteristic
1142C2×C42C23×C5911yescharacteristic
1143C2×C42C23×C5911yescharacteristic
1144C2×C42C23×C5911yescharacteristic
1145C2×C42C23×C5911yescharacteristic
1146C2×C42C23×C5911yescharacteristic
1147#95C23×C5911yescharacteristic
1148#95C23×C5911yescharacteristic
1149#95C23×C5911yescharacteristic
1150#95C23×C5911yescharacteristic
1151#95C23×C5911yescharacteristic
1152#95C23×C5911yescharacteristic
1153#95C23×C5911yescharacteristic
1154#95C23×C5911yescharacteristic
1155#95C23×C5911yescharacteristic
1156#95C23×C5911yescharacteristic
1157#95C23×C5911yescharacteristic
1158#95C23×C5911yescharacteristic
1159#95C23×C5911yescharacteristic
1160#95C23×C5911yescharacteristic
1161#95C23×C5911yescharacteristic
1162#95C23×C5911yescharacteristic
1163#95C23×C5911yescharacteristic
1164#95C23×C5911yescharacteristic
1165#95C23×C5911yescharacteristic
1166#95C23×C5911yescharacteristic
1167#95C23×C5911yescharacteristic
1168#95C23×C5911yescharacteristic
1169#95C23×C5911yescharacteristic
1170#95C23×C5911yescharacteristic
1171#95C23×C5911yescharacteristic
1172#95C23×C5911yescharacteristic
1173#95C23×C5911yescharacteristic
1174#95C23×C5911yescharacteristic
1175#95C23×C5911yescharacteristic
1176#95C23×C5911yescharacteristic
1177#95C23×C5911yescharacteristic
1178#95C23×C5911yescharacteristic
1179#95C23×C5911yescharacteristic
1180#95C23×C5911yescharacteristic
1181#95C23×C5911yescharacteristic
1182#95C23×C5911yescharacteristic
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—41no—
1189C24—41no—
1190C24—41no—
1191C24—41no—
1192C24—41no—
1193C24—41no—
1194C24—41no—
1195C24—41no—
1196C24#41×C5914yes—
1197C24C24×C5911yescharacteristic
1198C24C24×C5911yescharacteristic
1199C24C24×C5911yescharacteristic
1200C24C24×C5911yescharacteristic
1201C24C24×C5911yescharacteristic
1202C24C24×C5911yescharacteristic
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×Q8—41no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—416no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4#41×C5914yes—
1264C22×C4C24×C5911yescharacteristic
1265C22×C4C24×C5911yescharacteristic
1266C22×C4C24×C5911yescharacteristic
1267C22×C4C24×C5911yescharacteristic
1268C22×C4C24×C5911yescharacteristic
1269C22×C4C24×C5911yescharacteristic
1270C22×C4C24×C5911yescharacteristic
1271C22×C4C24×C5911yescharacteristic
1272C22×C4C24×C5911yescharacteristic
1273C22×C4C24×C5911yescharacteristic
1274C22×C4C24×C5911yescharacteristic
1275C22×C4C24×C5911yescharacteristic
1276C22×C4C24×C5911yescharacteristic
1277C22×C4C24×C5911yescharacteristic
1278C22×C4C24×C5911yescharacteristic
1279C22×C4C24×C5911yescharacteristic
1280C22×C4C24×C5911yescharacteristic
1281C22×C4C24×C5911yescharacteristic
1282C22×C4C24×C5911yescharacteristic
1283C22×C4C24×C5911yescharacteristic
1284C22×C4C24×C5911yescharacteristic
1285C22×C4C24×C5911yescharacteristic
1286C22×C4C24×C5911yescharacteristic
1287C22×C4C24×C5911yescharacteristic
1288C22×C4C24×C5911yescharacteristic
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4#41×C5914yes—
1371C42—22no—
1372C42—22no—
1373C42—22no—
1374C42—41no—
1375C42—41no—
1376C42—41no—
1377C42—41no—
1378C42—41no—
1379C42—41no—
1380C42—41no—
1381C42—41no—
1382C42—41no—
1383C42—41no—
1384C42—41no—
1385C42—41no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—28no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—82no—
1430C23—82no—
1431C23—82no—
1432C23—82no—
1433C23—82no—
1434C23—82no—
1435C23—82no—
1436C23—82no—
1437C23C2×#41×C5912yes—
1438C23C2×#41×C5912yes—
1439C23C2×#41×C5912yes—
1440C23C2×#41×C5912yes—
1441C23C2×#41×C5912yes—
1442C23C25×C5911yescharacteristic
1443Q8—44no—
1444D4—44no—
1445D4—44no—
1446D4—44no—
1447D4—44no—
1448D4—44no—
1449D4—82no—
1450D4—82no—
1451D4—82no—
1452D4—82no—
1453C2×C4—28no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—82no—
1526C2×C4—82no—
1527C2×C4—82no—
1528C2×C4—82no—
1529C2×C4—82no—
1530C2×C4—82no—
1531C2×C4C2×#41×C5912yes—
1532C2×C4C2×#41×C5912yes—
1533C2×C4C2×#41×C5912yes—
1534C2×C4C2×#41×C5912yes—
1535C2×C4H(5,𝔽2)×C5912yes—
1536C2×C4H(5,𝔽2)×C5912yes—
1537C2×C4H(5,𝔽2)×C5912yes—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—88no—
1580C22—88no—
1581C22C59×#52914yes—
1582C22C22×#41×C5911yescharacteristic
1583C22C22×#41×C5911yescharacteristic
1584C22C22×#41×C5911yescharacteristic
1585C22C2×H(5,𝔽2)×C5911yescharacteristic
1586C22C2×H(5,𝔽2)×C5911yescharacteristic
1587C22C2×H(5,𝔽2)×C5911yescharacteristic
1588C22C59×#58511yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—22no—
1594C4—22no—
1595C4—22no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C2—24no—
1615C2—42no—
1616C2—42no—
1617C2—81no—
1618C2—81no—
1619C2—81no—
1620C2C2×C59×#52911yescharacteristic
1621C2C59×#349011yescharacteristic
1622C2C59×#350511yescharacteristic
1623C2C59×#350511yescharacteristic
1624C2C59×#350811yescharacteristic
1625C2C59×#351411yescharacteristic
1626C2C59×#351911yescharacteristic
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×#2597C2semidirect
2. C59×#2595C2semidirect
3. C59×#2560C2semidirect
4. C59×#2559C2semidirect
5. C59×#2558C2semidirect
6. C59×#2557C2semidirect
7. C59×#2554C2semidirect
8. C59×#2554C2semidirect
9. C59×#2531C2semidirect
10. C59×#2526C2semidirect
11. C59×#2516C2semidirect
12. C59×#2490C2semidirect
13. C59×#2481C2semidirect
14. C59×#2480C2semidirect
15. C59×#2476C2semidirect
16. C59×#2473C2semidirect
17. C59×#2472C2semidirect
18. C59×#2471C2semidirect
19. C59×#2458C2semidirect
20. C59×#2437C2semidirect
21. C59×#2426C2semidirect
22. C59×#2412C2semidirect
24. C59×#2405C2semidirect
25. C59×#2321C2semidirect
26. C59×#2321C2semidirect
27. C59×#2312C2semidirect
28. C4×C22⋊Q8×C59C2semidirect
29. C2×C59×#390C2semidirect
30. C59×#2290C2semidirect
31. C59×#2273C2semidirect
33. C2×#126×C59C22semidirect
34. C2×#126×C59C22semidirect
35. C2×#125×C59C22semidirect
36. C2×#124×C59C22semidirect
39. C2×#123×C59C22semidirect
41. C2×C22⋊Q8×C59C22semidirect
46. C2×C4×Q8×C59C22semidirect
48. C2×#117×C59C22semidirect
57. C59×#400C22semidirect
58. C59×#400C22semidirect
59. C59×#400C22semidirect
60. C59×#399C22semidirect
61. C59×#398C22semidirect
62. C59×#398C22semidirect
63. C59×#398C22semidirect
64. C59×#397C22semidirect
65. C59×#397C22semidirect
66. C59×#397C22semidirect
67. C59×#397C22semidirect
68. C59×#397C22semidirect
69. C59×#397C22semidirect
70. C59×#397C22semidirect
71. C59×#396C22semidirect
72. C59×#396C22semidirect
73. C59×#396C22semidirect
74. C59×#396C22semidirect
81. C59×#394C22semidirect
82. C59×#394C22semidirect
83. C59×#394C22semidirect
84. C59×#394C22semidirect
85. C59×#393C22semidirect
86. C59×#393C22semidirect
89. C59×#391C22semidirect
98. C59×#390C22semidirect
99. C59×#390C22semidirect
100. C59×#390C22semidirect
101. C59×#390C22semidirect
102. C59×#390C22semidirect
103. C59×#389C22semidirect
104. C59×#389C22semidirect
105. C59×#388C22semidirect
106. C59×#388C22semidirect
107. C59×#388C22semidirect
108. C59×#388C22semidirect
109. C59×#388C22semidirect
110. C59×#388C22semidirect
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×#387C22semidirect
130. C59×#387C22semidirect
131. C59×#387C22semidirect
132. C59×#387C22semidirect
133. C59×#387C22semidirect
134. C59×#387C22semidirect
135. C59×#387C22semidirect
136. C59×#387C22semidirect
145. C59×#386C22semidirect
146. C59×#386C22semidirect
147. C59×#386C22semidirect
148. C59×#386C22semidirect
149. C59×#386C22semidirect
156. C59×#385C22semidirect
157. C59×#385C22semidirect
158. C59×#385C22semidirect
159. C59×#381C22semidirect
163. C59×#380C22semidirect
168. C4×C4⋊C4×C59C22semidirect
169. C4×C4⋊C4×C59C22semidirect
170. C4×C4⋊C4×C59C22semidirect
171. C4×C4⋊C4×C59C22semidirect
177. C4×C22⋊C4×C59C22semidirect
178. C4×C22⋊C4×C59C22semidirect
179. C4×C22⋊C4×C59C22semidirect
180. C4×C22⋊C4×C59C22semidirect
181. C4×C22⋊C4×C59C22semidirect
182. C4×C22⋊C4×C59C22semidirect
183. C4×C22⋊C4×C59C22semidirect
184. C4×C22⋊C4×C59C22semidirect
185. C4×C22⋊C4×C59C22semidirect
186. C59×#376C22semidirect
724. #35378C59direct (N × H)
801. #2597C2×C59semidirect
802. #2595C2×C59semidirect
803. #2560C2×C59semidirect
804. #2559C2×C59semidirect
805. #2558C2×C59semidirect
806. #2557C2×C59semidirect
807. #2554C2×C59semidirect
808. #2554C2×C59semidirect
809. #2531C2×C59semidirect
810. #2526C2×C59semidirect
811. #2516C2×C59semidirect
812. #2490C2×C59semidirect
813. #2481C2×C59semidirect
814. #2480C2×C59semidirect
815. #2476C2×C59semidirect
816. #2473C2×C59semidirect
817. #2472C2×C59semidirect
818. #2471C2×C59semidirect
819. #2458C2×C59semidirect
820. #2437C2×C59semidirect
821. #2426C2×C59semidirect
822. #2412C2×C59semidirect
824. #2405C2×C59semidirect
825. #2321C2×C59semidirect
826. #2321C2×C59semidirect
827. #2312C2×C59semidirect
828. C4×C22⋊Q8C2×C59semidirect
829. C2×#390C2×C59semidirect
830. #2290C2×C59semidirect
831. #2273C2×C59semidirect
846. C2×#126C22×C59semidirect
847. C2×#126C22×C59semidirect
848. C2×#125C22×C59semidirect
849. C2×#124C22×C59semidirect
852. C2×#123C22×C59semidirect
854. C2×C22⋊Q8C22×C59semidirect
859. C2×C4×Q8C22×C59semidirect
861. C2×#117C22×C59semidirect
870. #400C22×C59semidirect
871. #400C22×C59semidirect
872. #400C22×C59semidirect
873. #399C22×C59semidirect
874. #398C22×C59semidirect
875. #398C22×C59semidirect
876. #398C22×C59semidirect
877. #397C22×C59semidirect
878. #397C22×C59semidirect
879. #397C22×C59semidirect
880. #397C22×C59semidirect
881. #397C22×C59semidirect
882. #397C22×C59semidirect
883. #397C22×C59semidirect
884. #396C22×C59semidirect
885. #396C22×C59semidirect
886. #396C22×C59semidirect
887. #396C22×C59semidirect
894. #394C22×C59semidirect
895. #394C22×C59semidirect
896. #394C22×C59semidirect
897. #394C22×C59semidirect
898. #393C22×C59semidirect
899. #393C22×C59semidirect
902. #391C22×C59semidirect
911. #390C22×C59semidirect
912. #390C22×C59semidirect
913. #390C22×C59semidirect
914. #390C22×C59semidirect
915. #390C22×C59semidirect
916. #389C22×C59semidirect
917. #389C22×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. #388C22×C59semidirect
930. #388C22×C59semidirect
931. #388C22×C59semidirect
932. #388C22×C59semidirect
933. #388C22×C59semidirect
934. #388C22×C59semidirect
935. #388C22×C59semidirect
936. #388C22×C59semidirect
937. #388C22×C59semidirect
938. #388C22×C59semidirect
939. #388C22×C59semidirect
940. #388C22×C59semidirect
941. #388C22×C59semidirect
942. #387C22×C59semidirect
943. #387C22×C59semidirect
944. #387C22×C59semidirect
945. #387C22×C59semidirect
946. #387C22×C59semidirect
947. #387C22×C59semidirect
948. #387C22×C59semidirect
949. #387C22×C59semidirect
958. #386C22×C59semidirect
959. #386C22×C59semidirect
960. #386C22×C59semidirect
961. #386C22×C59semidirect
962. #386C22×C59semidirect
969. #385C22×C59semidirect
970. #385C22×C59semidirect
971. #385C22×C59semidirect
972. #381C22×C59semidirect
976. #380C22×C59semidirect
981. C4×C4⋊C4C22×C59semidirect
982. C4×C4⋊C4C22×C59semidirect
983. C4×C4⋊C4C22×C59semidirect
984. C4×C4⋊C4C22×C59semidirect
990. C4×C22⋊C4C22×C59semidirect
991. C4×C22⋊C4C22×C59semidirect
992. C4×C22⋊C4C22×C59semidirect
993. C4×C22⋊C4C22×C59semidirect
994. C4×C22⋊C4C22×C59semidirect
995. C4×C22⋊C4C22×C59semidirect
996. C4×C22⋊C4C22×C59semidirect
997. C4×C22⋊C4C22×C59semidirect
998. C4×C22⋊C4C22×C59semidirect
999. #376C22×C59semidirect
1000. C59#35378direct (N × H)

Maximal subgroups

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

subgroupindex
C59×#25972
C59×#25952
C59×#25602
C59×#25592
C59×#25582
C59×#25572
C59×#25542
C59×#25312
C59×#25262
C59×#25162
C59×#24902
C59×#24812
C59×#24802
C59×#24762
C59×#24732
C59×#24722
C59×#24712
C59×#24582
C59×#24372
C59×#24262
C59×#24122
C59×#24102
C59×#24052
C59×#23212
C59×#23122
C4×C22⋊Q8×C592
C2×C59×#3902
C59×#22902
C59×#22732
#3537859