Finite Group Databasebeta

← C59×#35825 #28447934

Subgroups — C59×#35825 #28447934

Order 15104.

2360 conjugacy classes of subgroups.

The subgroup lattice has 1614 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C59×#552C211yesmaximal, characteristic, complemented
2C2×C59×#551C211yesmaximal, characteristic, complemented
3C59×#2664C211yesmaximal, characteristic, complemented
4C59×#2662C211yesmaximal, characteristic, complemented
5C59×#2618C211yesmaximal, characteristic, complemented
6C59×#2601C211yesmaximal, characteristic, complemented
7C59×#2601C211yesmaximal, characteristic, complemented
8C59×#2566C211yesmaximal, characteristic, complemented
9C59×#2558C211yesmaximal, characteristic, complemented
10C59×#2558C211yesmaximal, characteristic, complemented
11C59×#2556C211yesmaximal, characteristic, complemented
12C59×#2554C211yesmaximal, characteristic, complemented
13C59×#2545C211yesmaximal, characteristic, complemented
14C59×#2539C211yesmaximal, characteristic
15C59×#2519C211yesmaximal, characteristic, complemented
16C59×#2512C211yesmaximal, characteristic, complemented
17C59×#2488C211yesmaximal, characteristic, complemented
18C59×#2472C211yesmaximal, characteristic, complemented
19C59×#2461C211yesmaximal, characteristic, complemented
20C59×#2452C211yesmaximal, characteristic, complemented
21C59×#2440C211yesmaximal, characteristic, complemented
22C59×#2413C211yesmaximal, characteristic, complemented
23C59×#2411C211yesmaximal, characteristic, complemented
24C59×#2396C211yesmaximal, characteristic, complemented
25C59×#2392C211yesmaximal, characteristic, complemented
26C2×C59×#396C211yesmaximal, characteristic, complemented
27C59×#2361C211yesmaximal, characteristic, complemented
28C59×#2359C211yesmaximal, characteristic, complemented
29C59×#2358C211yesmaximal, characteristic, complemented
30C59×#2342C211yesmaximal, characteristic, complemented
31C59×#2274C211yesmaximal, characteristic, complemented
32C59×#552—28no—
33C59×#551—28no—
34C2×C4⋊Q8×C59C2211yescharacteristic, complemented
35C2×#126×C59C2211yescharacteristic
36C2×#126×C59C2211yescharacteristic
37C2×#126×C59C2211yescharacteristic, complemented
38C2×#126×C59C2211yescharacteristic, complemented
39C2×#125×C59C2211yescharacteristic, complemented
40C2×#125×C59C2211yescharacteristic, complemented
41C2×#125×C59C2211yescharacteristic, complemented
42C2×#124×C59C2211yescharacteristic
43C2×#124×C59C2211yescharacteristic
44C2×#123×C59C2211yescharacteristic
45C2×#123×C59C2211yescharacteristic
46C2×#123×C59C2211yescharacteristic
47C2×#123×C59C2211yescharacteristic
48C2×#123×C59C2211yescharacteristic
49C2×#123×C59C2211yescharacteristic
50C2×C22⋊Q8×C59C2211yescharacteristic
51C2×C22⋊Q8×C59C2211yescharacteristic
52C2×C22⋊Q8×C59C2211yescharacteristic
53C2×C22⋊Q8×C59C2211yescharacteristic, complemented
54C2×#121×C59C2211yescharacteristic
55C2×#120×C59C2211yescharacteristic
56C2×#120×C59C2211yescharacteristic
57C2×C4×Q8×C59C2211yescharacteristic, complemented
58C2×C4×D4×C59C2211yescharacteristic
59C2×C4×D4×C59C2211yescharacteristic
60C2×C4×D4×C59C2211yescharacteristic
61C2×C4×D4×C59C2211yescharacteristic
62C2×C4×D4×C59C2211yescharacteristic, complemented
63C2×#117×C59C2211yescharacteristic
64C2×#117×C59C2211yescharacteristic
65C2×#117×C59C2211yescharacteristic
66C2×#117×C59C2211yescharacteristic
67C2×#117×C59C2211yescharacteristic, complemented
68C22×C4⋊C4×C59C2211yescharacteristic
69C22×C4⋊C4×C59C2211yescharacteristic
70C22×C4⋊C4×C59C2211yescharacteristic
71C22×C22⋊C4×C59C2211yescharacteristic
72C22×C22⋊C4×C59C2211yescharacteristic
73C22×C22⋊C4×C59C2211yescharacteristic
74C22×C22⋊C4×C59C2211yescharacteristic
75C59×#400C2211yescharacteristic, complemented
76C59×#400C2211yescharacteristic, complemented
77C59×#399C2211yescharacteristic
78C59×#399C2211yescharacteristic
79C59×#398C2211yescharacteristic, complemented
80C59×#398C2211yescharacteristic, complemented
81C59×#398C2211yescharacteristic, complemented
82C59×#398C2211yescharacteristic, complemented
83C59×#398C2211yescharacteristic, complemented
84C59×#398C2211yescharacteristic, complemented
85C59×#397C2211yescharacteristic
86C59×#397C2211yescharacteristic, complemented
87C59×#396C2211yescharacteristic
88C59×#396C2211yescharacteristic
89C59×#396C2211yescharacteristic
90C59×#396C2211yescharacteristic
91C59×#396C2211yescharacteristic
92C59×#396C2211yescharacteristic
93C59×#396C2211yescharacteristic
94C59×#396C2211yescharacteristic
95C59×#396C2211yescharacteristic
96C59×#396C2211yescharacteristic
97C59×#396C2211yescharacteristic, complemented
98C59×#396C2211yescharacteristic, complemented
99C59×#396C2211yescharacteristic, complemented
100C59×#396C2211yescharacteristic, complemented
101C59×#396C2211yescharacteristic, complemented
102C59×#396C2211yescharacteristic, complemented
103C59×#395C2211yescharacteristic, complemented
104C59×#395C2211yescharacteristic, complemented
105C59×#394C2211yescharacteristic
106C59×#394C2211yescharacteristic
107C59×#394C2211yescharacteristic
108C59×#394C2211yescharacteristic
109C59×#394C2211yescharacteristic, complemented
110C59×#394C2211yescharacteristic, complemented
111C59×#393C2211yescharacteristic
112C59×#393C2211yescharacteristic, complemented
113C59×#392C2211yescharacteristic
114C59×#392C2211yescharacteristic
115C59×#391C2211yescharacteristic, complemented
116C59×#390C2211yescharacteristic
117C59×#390C2211yescharacteristic
118C59×#390C2211yescharacteristic
119C59×#390C2211yescharacteristic
120C59×#390C2211yescharacteristic
121C59×#390C2211yescharacteristic
122C59×#390C2211yescharacteristic
123C59×#390C2211yescharacteristic
124C59×#390C2211yescharacteristic, complemented
125C59×#389C2211yescharacteristic, complemented
126C59×#389C2211yescharacteristic, complemented
127C59×#389C2211yescharacteristic, complemented
128C59×#389C2211yescharacteristic, complemented
129C59×#389C2211yescharacteristic, complemented
130C59×#389C2211yescharacteristic, complemented
131C59×#388C2211yescharacteristic
132C59×#388C2211yescharacteristic
133C59×#388C2211yescharacteristic
134C59×#388C2211yescharacteristic
135C59×#388C2211yescharacteristic
136C59×#388C2211yescharacteristic
137C59×#388C2211yescharacteristic
138C59×#388C2211yescharacteristic
139C59×#388C2211yescharacteristic
140C59×#388C2211yescharacteristic
141C59×#388C2211yescharacteristic, complemented
142C59×#388C2211yescharacteristic, complemented
143C59×#388C2211yescharacteristic, complemented
144C59×#388C2211yescharacteristic, complemented
145C59×#388C2211yescharacteristic, complemented
146C59×#388C2211yescharacteristic, complemented
147C59×#388C2211yescharacteristic, complemented
148C59×#388C2211yescharacteristic, complemented
149C59×#387C2211yescharacteristic, complemented
150C59×#387C2211yescharacteristic, complemented
151C59×#386C2211yescharacteristic
152C59×#386C2211yescharacteristic
153C59×#386C2211yescharacteristic
154C59×#386C2211yescharacteristic
155C59×#386C2211yescharacteristic
156C59×#386C2211yescharacteristic
157C59×#385C2211yescharacteristic
158C59×#385C2211yescharacteristic
159C59×#385C2211yescharacteristic
160C59×#385C2211yescharacteristic
161C59×#385C2211yescharacteristic
162C59×#385C2211yescharacteristic, complemented
163C59×#385C2211yescharacteristic, complemented
164C59×#385C2211yescharacteristic, complemented
165C59×#384C2211yescharacteristic, complemented
166C59×#382C2211yescharacteristic, complemented
167C59×#381C2211yescharacteristic
168C59×#380C2211yescharacteristic
169C59×#379C2211yescharacteristic
170C4×C4⋊C4×C59C2211yescharacteristic, complemented
171C4×C4⋊C4×C59C2211yescharacteristic, complemented
172C4×C4⋊C4×C59C2211yescharacteristic, complemented
173C4×C4⋊C4×C59C2211yescharacteristic, complemented
174C4×C4⋊C4×C59C2211yescharacteristic, complemented
175C4×C4⋊C4×C59C2211yescharacteristic, complemented
176C4×C4⋊C4×C59C2211yescharacteristic, complemented
177C4×C4⋊C4×C59C2211yescharacteristic, complemented
178C4×C4⋊C4×C59C2211yescharacteristic, complemented
179C4×C4⋊C4×C59C2211yescharacteristic, complemented
180C4×C22⋊C4×C59C2211yescharacteristic
181C4×C22⋊C4×C59C2211yescharacteristic
182C4×C22⋊C4×C59C2211yescharacteristic
183C4×C22⋊C4×C59C2211yescharacteristic
184C4×C22⋊C4×C59C2211yescharacteristic
185C4×C22⋊C4×C59C2211yescharacteristic
186C4×C22⋊C4×C59C2211yescharacteristic
187C4×C22⋊C4×C59C2211yescharacteristic, complemented
188C2×#95×C59C2211yescharacteristic
189C25×C59C2311yescharacteristic
190C22×Q8×C59C2311yescharacteristic
191C22×Q8×C59C2311yescharacteristic
192C22×D4×C59C2311yescharacteristic
193C22×D4×C59C2311yescharacteristic
194C22×D4×C59C2311yescharacteristic
195C22×D4×C59C2311yescharacteristic
196C22×D4×C59C2311yescharacteristic
197C22×D4×C59C2311yescharacteristic
198C22×D4×C59C2311yescharacteristic
199C23×C4×C59C2311yescharacteristic
200C23×C4×C59C2311yescharacteristic
201C23×C4×C59C2311yescharacteristic
202C23×C4×C59C2311yescharacteristic
203C23×C4×C59C2311yescharacteristic
204C23×C4×C59C2311yescharacteristic
205C23×C4×C59C2311yescharacteristic
206C23×C4×C59C2311yescharacteristic
207C23×C4×C59C2311yescharacteristic
208C23×C4×C59C2311yescharacteristic
209C4⋊Q8×C59—42no—
210#126×C59—24no—
211#126×C59—24no—
212#126×C59—24no—
213#126×C59—24no—
214#125×C59—24no—
215#125×C59—24no—
216#125×C59—24no—
217#124×C59—24no—
218#124×C59—42no—
219#123×C59—24no—
220#123×C59—24no—
221#123×C59—24no—
222#123×C59—24no—
223#123×C59—24no—
224#123×C59—24no—
225C22⋊Q8×C59—24no—
226C22⋊Q8×C59—24no—
227C22⋊Q8×C59—24no—
228C22⋊Q8×C59—24no—
229#121×C59—24no—
230#120×C59—24no—
231#120×C59—24no—
232C4×Q8×C59—24no—
233C4×D4×C59—24no—
234C4×D4×C59—24no—
235C4×D4×C59—24no—
236C4×D4×C59—42no—
237C4×D4×C59—42no—
238#117×C59—24no—
239#117×C59—24no—
240#117×C59—24no—
241#117×C59—24no—
242#117×C59D418yescomplemented
243C2×C4⋊C4×C59—24no—
244C2×C4⋊C4×C59—24no—
245C2×C4⋊C4×C59—42no—
246C2×C4⋊C4×C59C2311yescharacteristic
247C2×C4⋊C4×C59C2311yescharacteristic
248C2×C4⋊C4×C59C2311yescharacteristic
249C2×C4⋊C4×C59C2311yescharacteristic
250C2×C4⋊C4×C59C2311yescharacteristic
251C2×C4⋊C4×C59C2311yescharacteristic
252C2×C4⋊C4×C59C2311yescharacteristic
253C2×C4⋊C4×C59C2311yescharacteristic
254C2×C4⋊C4×C59C2311yescharacteristic
255C2×C4⋊C4×C59C2311yescharacteristic
256C2×C4⋊C4×C59C2311yescharacteristic
257C2×C4⋊C4×C59C2311yescharacteristic
258C2×C4⋊C4×C59C2311yescharacteristic
259C2×C4⋊C4×C59C2311yescharacteristic
260C2×C4⋊C4×C59C2311yescharacteristic
261C2×C4⋊C4×C59C2311yescharacteristic
262C2×C4⋊C4×C59C2311yescharacteristic
263C2×C4⋊C4×C59C2311yescharacteristic
264C2×C4⋊C4×C59C2311yescharacteristic
265C2×C4⋊C4×C59C2311yescharacteristic
266C2×C4⋊C4×C59C2311yescharacteristic
267C2×C4⋊C4×C59C2311yescharacteristic
268C2×C4⋊C4×C59C2311yescharacteristic
269C2×C4⋊C4×C59C2311yescharacteristic
270C2×C4⋊C4×C59C2311yescharacteristic
271C2×C4⋊C4×C59C2311yescharacteristic
272C2×C4⋊C4×C59C2311yescharacteristic
273C2×C4⋊C4×C59C2311yescharacteristic
274C2×C4⋊C4×C59C2311yescharacteristic
275C2×C4⋊C4×C59C2311yescharacteristic
276C2×C4⋊C4×C59C2311yescharacteristic
277C2×C4⋊C4×C59C2311yescharacteristic
278C2×C4⋊C4×C59C2311yescharacteristic
279C2×C4⋊C4×C59C2311yescharacteristic
280C2×C4⋊C4×C59C2311yescharacteristic
281C2×C4⋊C4×C59C2311yescharacteristic
282C2×C4⋊C4×C59C2311yescharacteristic
283C2×C4⋊C4×C59C2311yescharacteristic
284C2×C4⋊C4×C59C2311yescharacteristic
285C2×C4⋊C4×C59C2311yescharacteristic
286C2×C4⋊C4×C59C2311yescharacteristic
287C2×C22⋊C4×C59—24no—
288C2×C22⋊C4×C59—24no—
289C2×C22⋊C4×C59—24no—
290C2×C22⋊C4×C59—42no—
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×C22⋊C4×C59C2311yescharacteristic
318C2×C22⋊C4×C59C2311yescharacteristic
319C2×C22⋊C4×C59C2311yescharacteristic
320C2×C22⋊C4×C59C2311yescharacteristic
321C2×C22⋊C4×C59C2311yescharacteristic
322C2×C22⋊C4×C59C2311yescharacteristic
323C2×C22⋊C4×C59C2311yescharacteristic
324C2×C22⋊C4×C59C2311yescharacteristic
325C2×C22⋊C4×C59C2311yescharacteristic
326C2×C22⋊C4×C59C2311yescharacteristic
327C2×C22⋊C4×C59C2311yescharacteristic
328C2×C22⋊C4×C59C2311yescharacteristic
329C2×C22⋊C4×C59C2311yescharacteristic
330C2×C22⋊C4×C59C2311yescharacteristic
331C2×C22⋊C4×C59C2311yescharacteristic
332C2×C22⋊C4×C59C2311yescharacteristic
333C2×C22⋊C4×C59C2311yescharacteristic
334C2×C22⋊C4×C59C2311yescharacteristic
335C2×C22⋊C4×C59C2311yescharacteristic
336C2×C22⋊C4×C59C2311yescharacteristic
337C2×C22⋊C4×C59C2311yescharacteristic
338C2×C22⋊C4×C59C2311yescharacteristic
339C2×C42×C59C2311yescharacteristic
340C2×C42×C59C2311yescharacteristic
341C2×C42×C59C2311yescharacteristic
342C2×C42×C59C2311yescharacteristic
343C2×C42×C59C2311yescharacteristic
344C2×C42×C59C2311yescharacteristic
345C2×C42×C59C2311yescharacteristic
346C2×C42×C59C2311yescharacteristic
347C2×C42×C59C2311yescharacteristic
348C2×C42×C59C2311yescharacteristic
349C2×C42×C59C2311yescharacteristic
350C2×C42×C59C2311yescharacteristic
351C2×C42×C59C2311yescharacteristic
352C2×C42×C59C2311yescharacteristic
353C2×C42×C59C2311yescharacteristic
354C2×C42×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
369#95×C59C2311yescharacteristic
370#95×C59C2311yescharacteristic
371#95×C59C2311yescharacteristic
372#95×C59C2311yescharacteristic
373#95×C59C2311yescharacteristic
374#95×C59C2311yescharacteristic
375#95×C59C2311yescharacteristic
376#95×C59C2311yescharacteristic
377#95×C59C2311yescharacteristic
378#95×C59C2311yescharacteristic
379#95×C59C2311yescharacteristic
380#95×C59C2311yescharacteristic
381#95×C59C2311yescharacteristic
382#95×C59C2311yescharacteristic
383#95×C59C2311yescharacteristic
384#95×C59C2311yescharacteristic
385C24×C59—22no—
386C24×C59—22no—
387C24×C59—22no—
388C24×C59—22no—
389C24×C59—41no—
390C24×C59—41no—
391C24×C59—41no—
392C24×C59C2411yescharacteristic
393C24×C59C2411yescharacteristic
394C24×C59C2411yescharacteristic
395C24×C59C2411yescharacteristic
396C24×C59C2411yescharacteristic
397C2×Q8×C59—22no—
398C2×Q8×C59—22no—
399C2×Q8×C59—22no—
400C2×Q8×C59—41no—
401C2×Q8×C59—41no—
402C2×Q8×C59—41no—
403C2×D4×C59—22no—
404C2×D4×C59—22no—
405C2×D4×C59—22no—
406C2×D4×C59—22no—
407C2×D4×C59—22no—
408C2×D4×C59—22no—
409C2×D4×C59—22no—
410C2×D4×C59—22no—
411C2×D4×C59—22no—
412C2×D4×C59—22no—
413C2×D4×C59—22no—
414C2×D4×C59—22no—
415C2×D4×C59—22no—
416C2×D4×C59—41no—
417C2×D4×C59—41no—
418C2×D4×C59—41no—
419C2×D4×C59—41no—
420C2×D4×C59—41no—
421C2×D4×C59—41no—
422C2×D4×C59—41no—
423C2×D4×C59—41no—
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—22no—
433C22×C4×C59—22no—
434C22×C4×C59—22no—
435C22×C4×C59—22no—
436C22×C4×C59—22no—
437C22×C4×C59—22no—
438C22×C4×C59—22no—
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—41no—
450C22×C4×C59—41no—
451C22×C4×C59—41no—
452C22×C4×C59C2×D414yes—
453C22×C4×C59#4114yes—
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
475C22×C4×C59C2411yescharacteristic
476C22×C4×C59C2411yescharacteristic
477C22×C4×C59C2411yescharacteristic
478C22×C4×C59C2411yescharacteristic
479C22×C4×C59C2411yescharacteristic
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—22no—
490C4⋊C4×C59—22no—
491C4⋊C4×C59—22no—
492C4⋊C4×C59—22no—
493C4⋊C4×C59—22no—
494C4⋊C4×C59—22no—
495C4⋊C4×C59—22no—
496C4⋊C4×C59—22no—
497C4⋊C4×C59—22no—
498C4⋊C4×C59—22no—
499C4⋊C4×C59—22no—
500C4⋊C4×C59—22no—
501C4⋊C4×C59—22no—
502C4⋊C4×C59—22no—
503C4⋊C4×C59—22no—
504C4⋊C4×C59—22no—
505C4⋊C4×C59—22no—
506C4⋊C4×C59—22no—
507C4⋊C4×C59—22no—
508C4⋊C4×C59—22no—
509C4⋊C4×C59—22no—
510C4⋊C4×C59—22no—
511C4⋊C4×C59—22no—
512C4⋊C4×C59—41no—
513C4⋊C4×C59—41no—
514C4⋊C4×C59—41no—
515C4⋊C4×C59—41no—
516C4⋊C4×C59—41no—
517C4⋊C4×C59—41no—
518C4⋊C4×C59—41no—
519C4⋊C4×C59C2×D414yes—
520C4⋊C4×C59C2×D414yes—
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—22no—
532C22⋊C4×C59—22no—
533C22⋊C4×C59—22no—
534C22⋊C4×C59—22no—
535C22⋊C4×C59—22no—
536C22⋊C4×C59—22no—
537C22⋊C4×C59—22no—
538C22⋊C4×C59—22no—
539C22⋊C4×C59—22no—
540C22⋊C4×C59—22no—
541C22⋊C4×C59—22no—
542C22⋊C4×C59—22no—
543C22⋊C4×C59—22no—
544C22⋊C4×C59—22no—
545C22⋊C4×C59—22no—
546C22⋊C4×C59—22no—
547C22⋊C4×C59—22no—
548C22⋊C4×C59—22no—
549C22⋊C4×C59—22no—
550C22⋊C4×C59—22no—
551C22⋊C4×C59—22no—
552C22⋊C4×C59—22no—
553C22⋊C4×C59—22no—
554C22⋊C4×C59—41no—
555C22⋊C4×C59—41no—
556C22⋊C4×C59—41no—
557C22⋊C4×C59—41no—
558C22⋊C4×C59—41no—
559C22⋊C4×C59—41no—
560C22⋊C4×C59—41no—
561C22⋊C4×C59—41no—
562C22⋊C4×C59—41no—
563C22⋊C4×C59—41no—
564C22⋊C4×C59—41no—
565C22⋊C4×C59—41no—
566C22⋊C4×C59C2×D414yes—
567C22⋊C4×C59C2×D414yes—
568C22⋊C4×C59#4114yes—
569C42×C59—22no—
570C42×C59—22no—
571C42×C59—22no—
572C42×C59—22no—
573C42×C59—22no—
574C42×C59—22no—
575C42×C59—41no—
576C42×C59—41no—
577C42×C59—41no—
578C42×C59—41no—
579C42×C59—41no—
580C42×C59—41no—
581C42×C59—41no—
582C42×C59—41no—
583C42×C59C2×D414yes—
584C42×C59C2×D414yes—
585C23×C59—21no—
586C23×C59—21no—
587C23×C59—21no—
588C23×C59—21no—
589C23×C59—21no—
590C23×C59—21no—
591C23×C59—21no—
592C23×C59—21no—
593C23×C59—21no—
594C23×C59—21no—
595C23×C59—21no—
596C23×C59—21no—
597C23×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—21no—
611C23×C59—21no—
612C23×C59—21no—
613C23×C59—21no—
614C23×C59—21no—
615C23×C59—21no—
616C23×C59—44no—
617C23×C59—44no—
618C23×C59—44no—
619C23×C59—44no—
620C23×C59—82no—
621C23×C59—82no—
622C23×C59—82no—
623C23×C59C22×D412yes—
624C23×C59C2×#4112yes—
625C23×C59C2×#4112yes—
626C23×C592−1+412yes—
627C23×C59C2511yescharacteristic
628Q8×C59—44no—
629Q8×C59—82no—
630D4×C59—44no—
631D4×C59—44no—
632D4×C59—44no—
633D4×C59—44no—
634D4×C59—44no—
635D4×C59—82no—
636D4×C59—82no—
637C2×C4×C59—28no—
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—21no—
700C2×C4×C59—21no—
701C2×C4×C59—21no—
702C2×C4×C59—21no—
703C2×C4×C59—21no—
704C2×C4×C59—21no—
705C2×C4×C59—44no—
706C2×C4×C59—44no—
707C2×C4×C59—44no—
708C2×C4×C59—44no—
709C2×C4×C59—44no—
710C2×C4×C59—82no—
711C2×C4×C59—82no—
712C2×C4×C59—82no—
713C2×C4×C59—82no—
714C2×C4×C59C22×D412yes—
715C2×C4×C59C22×D412yes—
716C2×C4×C59C22×D412yes—
717C2×C4×C59C22×D412yes—
718C2×C4×C59C22×D412yes—
719C2×C4×C59C22×D412yes—
720C2×C4×C59C2×#4112yes—
721C2×C4×C59C2×#4112yes—
722C2×C4×C59C2×#4112yes—
723C2×C4×C59C2×#4112yes—
724C2×C4×C59H(5,𝔽2)12yes—
725#35825C5911yesmaximal, characteristic, direct product factor, Sylow
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—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—41no—
753C22×C59—41no—
754C22×C59—41no—
755C22×C59—41no—
756C22×C59—41no—
757C22×C59—41no—
758C22×C59—41no—
759C22×C59—41no—
760C22×C59—88no—
761C22×C59#53214yes—
762C22×C59C23×D411yescharacteristic
763C22×C59C22×#4111yescharacteristic
764C22×C59C22×#4111yescharacteristic
765C22×C59C2×H(5,𝔽2)11yescharacteristic
766C22×C59C2×2−1+411yescharacteristic
767C22×C59#58511yescharacteristic
768C22×C59#58511yescharacteristic
769C4×C59—22no—
770C4×C59—22no—
771C4×C59—22no—
772C4×C59—22no—
773C4×C59—22no—
774C4×C59—22no—
775C4×C59—22no—
776C4×C59—22no—
777C4×C59—22no—
778C4×C59—22no—
779C4×C59—22no—
780C4×C59—41no—
781C4×C59—41no—
782C4×C59—41no—
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—
795C2×#552C2×C5911yescharacteristic, complemented
796C2×#551C2×C5911yescharacteristic, complemented
797#2664C2×C5911yescharacteristic, complemented
798#2662C2×C5911yescharacteristic, complemented
799#2618C2×C5911yescharacteristic, complemented
800#2601C2×C5911yescharacteristic, complemented
801#2601C2×C5911yescharacteristic, complemented
802#2566C2×C5911yescharacteristic, complemented
803#2558C2×C5911yescharacteristic, complemented
804#2558C2×C5911yescharacteristic, complemented
805#2556C2×C5911yescharacteristic, complemented
806#2554C2×C5911yescharacteristic, complemented
807#2545C2×C5911yescharacteristic, complemented
808#2539C2×C5911yescharacteristic
809#2519C2×C5911yescharacteristic, complemented
810#2512C2×C5911yescharacteristic, complemented
811#2488C2×C5911yescharacteristic, complemented
812#2472C2×C5911yescharacteristic, complemented
813#2461C2×C5911yescharacteristic, complemented
814#2452C2×C5911yescharacteristic, complemented
815#2440C2×C5911yescharacteristic, complemented
816#2413C2×C5911yescharacteristic, complemented
817#2411C2×C5911yescharacteristic, complemented
818#2396C2×C5911yescharacteristic, complemented
819#2392C2×C5911yescharacteristic, complemented
820C2×#396C2×C5911yescharacteristic, complemented
821#2361C2×C5911yescharacteristic, complemented
822#2359C2×C5911yescharacteristic, complemented
823#2358C2×C5911yescharacteristic, complemented
824#2342C2×C5911yescharacteristic, complemented
825#2274C2×C5911yescharacteristic, complemented
826C2×C59—24no—
827C2×C59—42no—
828C2×C59—81no—
829C2×C59—81no—
830C2×C59—81no—
831C2×C59C2×#53211yescharacteristic
832C2×C59#348811yescharacteristic
833C2×C59#348911yescharacteristic
834C2×C59#349511yescharacteristic
835C2×C59#350511yescharacteristic
836C2×C59#352011yescharacteristic
837C2×C59#352111yescharacteristic
838#552—28no—
839#551—28no—
840C2×C4⋊Q8C22×C5911yescharacteristic, complemented
841C2×#126C22×C5911yescharacteristic
842C2×#126C22×C5911yescharacteristic
843C2×#126C22×C5911yescharacteristic, complemented
844C2×#126C22×C5911yescharacteristic, complemented
845C2×#125C22×C5911yescharacteristic, complemented
846C2×#125C22×C5911yescharacteristic, complemented
847C2×#125C22×C5911yescharacteristic, complemented
848C2×#124C22×C5911yescharacteristic
849C2×#124C22×C5911yescharacteristic
850C2×#123C22×C5911yescharacteristic
851C2×#123C22×C5911yescharacteristic
852C2×#123C22×C5911yescharacteristic
853C2×#123C22×C5911yescharacteristic
854C2×#123C22×C5911yescharacteristic
855C2×#123C22×C5911yescharacteristic
856C2×C22⋊Q8C22×C5911yescharacteristic
857C2×C22⋊Q8C22×C5911yescharacteristic
858C2×C22⋊Q8C22×C5911yescharacteristic
859C2×C22⋊Q8C22×C5911yescharacteristic, complemented
860C2×#121C22×C5911yescharacteristic
861C2×#120C22×C5911yescharacteristic
862C2×#120C22×C5911yescharacteristic
863C2×C4×Q8C22×C5911yescharacteristic, complemented
864C2×C4×D4C22×C5911yescharacteristic
865C2×C4×D4C22×C5911yescharacteristic
866C2×C4×D4C22×C5911yescharacteristic
867C2×C4×D4C22×C5911yescharacteristic
868C2×C4×D4C22×C5911yescharacteristic, complemented
869C2×#117C22×C5911yescharacteristic
870C2×#117C22×C5911yescharacteristic
871C2×#117C22×C5911yescharacteristic
872C2×#117C22×C5911yescharacteristic
873C2×#117C22×C5911yescharacteristic, complemented
874C22×C4⋊C4C22×C5911yescharacteristic
875C22×C4⋊C4C22×C5911yescharacteristic
876C22×C4⋊C4C22×C5911yescharacteristic
877C22×C22⋊C4C22×C5911yescharacteristic
878C22×C22⋊C4C22×C5911yescharacteristic
879C22×C22⋊C4C22×C5911yescharacteristic
880C22×C22⋊C4C22×C5911yescharacteristic
881#400C22×C5911yescharacteristic, complemented
882#400C22×C5911yescharacteristic, complemented
883#399C22×C5911yescharacteristic
884#399C22×C5911yescharacteristic
885#398C22×C5911yescharacteristic, complemented
886#398C22×C5911yescharacteristic, complemented
887#398C22×C5911yescharacteristic, complemented
888#398C22×C5911yescharacteristic, complemented
889#398C22×C5911yescharacteristic, complemented
890#398C22×C5911yescharacteristic, complemented
891#397C22×C5911yescharacteristic
892#397C22×C5911yescharacteristic, complemented
893#396C22×C5911yescharacteristic
894#396C22×C5911yescharacteristic
895#396C22×C5911yescharacteristic
896#396C22×C5911yescharacteristic
897#396C22×C5911yescharacteristic
898#396C22×C5911yescharacteristic
899#396C22×C5911yescharacteristic
900#396C22×C5911yescharacteristic
901#396C22×C5911yescharacteristic
902#396C22×C5911yescharacteristic
903#396C22×C5911yescharacteristic, complemented
904#396C22×C5911yescharacteristic, complemented
905#396C22×C5911yescharacteristic, complemented
906#396C22×C5911yescharacteristic, complemented
907#396C22×C5911yescharacteristic, complemented
908#396C22×C5911yescharacteristic, complemented
909#395C22×C5911yescharacteristic, complemented
910#395C22×C5911yescharacteristic, complemented
911#394C22×C5911yescharacteristic
912#394C22×C5911yescharacteristic
913#394C22×C5911yescharacteristic
914#394C22×C5911yescharacteristic
915#394C22×C5911yescharacteristic, complemented
916#394C22×C5911yescharacteristic, complemented
917#393C22×C5911yescharacteristic
918#393C22×C5911yescharacteristic, complemented
919#392C22×C5911yescharacteristic
920#392C22×C5911yescharacteristic
921#391C22×C5911yescharacteristic, complemented
922#390C22×C5911yescharacteristic
923#390C22×C5911yescharacteristic
924#390C22×C5911yescharacteristic
925#390C22×C5911yescharacteristic
926#390C22×C5911yescharacteristic
927#390C22×C5911yescharacteristic
928#390C22×C5911yescharacteristic
929#390C22×C5911yescharacteristic
930#390C22×C5911yescharacteristic, complemented
931#389C22×C5911yescharacteristic, complemented
932#389C22×C5911yescharacteristic, complemented
933#389C22×C5911yescharacteristic, complemented
934#389C22×C5911yescharacteristic, complemented
935#389C22×C5911yescharacteristic, complemented
936#389C22×C5911yescharacteristic, complemented
937#388C22×C5911yescharacteristic
938#388C22×C5911yescharacteristic
939#388C22×C5911yescharacteristic
940#388C22×C5911yescharacteristic
941#388C22×C5911yescharacteristic
942#388C22×C5911yescharacteristic
943#388C22×C5911yescharacteristic
944#388C22×C5911yescharacteristic
945#388C22×C5911yescharacteristic
946#388C22×C5911yescharacteristic
947#388C22×C5911yescharacteristic, complemented
948#388C22×C5911yescharacteristic, complemented
949#388C22×C5911yescharacteristic, complemented
950#388C22×C5911yescharacteristic, complemented
951#388C22×C5911yescharacteristic, complemented
952#388C22×C5911yescharacteristic, complemented
953#388C22×C5911yescharacteristic, complemented
954#388C22×C5911yescharacteristic, complemented
955#387C22×C5911yescharacteristic, complemented
956#387C22×C5911yescharacteristic, complemented
957#386C22×C5911yescharacteristic
958#386C22×C5911yescharacteristic
959#386C22×C5911yescharacteristic
960#386C22×C5911yescharacteristic
961#386C22×C5911yescharacteristic
962#386C22×C5911yescharacteristic
963#385C22×C5911yescharacteristic
964#385C22×C5911yescharacteristic
965#385C22×C5911yescharacteristic
966#385C22×C5911yescharacteristic
967#385C22×C5911yescharacteristic
968#385C22×C5911yescharacteristic, complemented
969#385C22×C5911yescharacteristic, complemented
970#385C22×C5911yescharacteristic, complemented
971#384C22×C5911yescharacteristic, complemented
972#382C22×C5911yescharacteristic, complemented
973#381C22×C5911yescharacteristic
974#380C22×C5911yescharacteristic
975#379C22×C5911yescharacteristic
976C4×C4⋊C4C22×C5911yescharacteristic, complemented
977C4×C4⋊C4C22×C5911yescharacteristic, complemented
978C4×C4⋊C4C22×C5911yescharacteristic, complemented
979C4×C4⋊C4C22×C5911yescharacteristic, complemented
980C4×C4⋊C4C22×C5911yescharacteristic, complemented
981C4×C4⋊C4C22×C5911yescharacteristic, complemented
982C4×C4⋊C4C22×C5911yescharacteristic, complemented
983C4×C4⋊C4C22×C5911yescharacteristic, complemented
984C4×C4⋊C4C22×C5911yescharacteristic, complemented
985C4×C4⋊C4C22×C5911yescharacteristic, complemented
986C4×C22⋊C4C22×C5911yescharacteristic
987C4×C22⋊C4C22×C5911yescharacteristic
988C4×C22⋊C4C22×C5911yescharacteristic
989C4×C22⋊C4C22×C5911yescharacteristic
990C4×C22⋊C4C22×C5911yescharacteristic
991C4×C22⋊C4C22×C5911yescharacteristic
992C4×C22⋊C4C22×C5911yescharacteristic
993C4×C22⋊C4C22×C5911yescharacteristic, complemented
994C2×#95C22×C5911yescharacteristic
995C59#3582511yescharacteristic, direct product factor, Sylow
996C25C23×C5911yescharacteristic
997C22×Q8C23×C5911yescharacteristic
998C22×Q8C23×C5911yescharacteristic
999C22×D4C23×C5911yescharacteristic
1000C22×D4C23×C5911yescharacteristic
1001C22×D4C23×C5911yescharacteristic
1002C22×D4C23×C5911yescharacteristic
1003C22×D4C23×C5911yescharacteristic
1004C22×D4C23×C5911yescharacteristic
1005C22×D4C23×C5911yescharacteristic
1006C23×C4C23×C5911yescharacteristic
1007C23×C4C23×C5911yescharacteristic
1008C23×C4C23×C5911yescharacteristic
1009C23×C4C23×C5911yescharacteristic
1010C23×C4C23×C5911yescharacteristic
1011C23×C4C23×C5911yescharacteristic
1012C23×C4C23×C5911yescharacteristic
1013C23×C4C23×C5911yescharacteristic
1014C23×C4C23×C5911yescharacteristic
1015C23×C4C23×C5911yescharacteristic
1016C4⋊Q8—42no—
1017#126—24no—
1018#126—24no—
1019#126—24no—
1020#126—24no—
1021#125—24no—
1022#125—24no—
1023#125—24no—
1024#124—24no—
1025#124—42no—
1026#123—24no—
1027#123—24no—
1028#123—24no—
1029#123—24no—
1030#123—24no—
1031#123—24no—
1032C22⋊Q8—24no—
1033C22⋊Q8—24no—
1034C22⋊Q8—24no—
1035C22⋊Q8—24no—
1036#121—24no—
1037#120—24no—
1038#120—24no—
1039C4×Q8—24no—
1040C4×D4—24no—
1041C4×D4—24no—
1042C4×D4—24no—
1043C4×D4—42no—
1044C4×D4—42no—
1045#117—24no—
1046#117—24no—
1047#117—24no—
1048#117—24no—
1049#117D4×C5918yescomplemented
1050C2×C4⋊C4—24no—
1051C2×C4⋊C4—24no—
1052C2×C4⋊C4—42no—
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×C4⋊C4C23×C5911yescharacteristic
1070C2×C4⋊C4C23×C5911yescharacteristic
1071C2×C4⋊C4C23×C5911yescharacteristic
1072C2×C4⋊C4C23×C5911yescharacteristic
1073C2×C4⋊C4C23×C5911yescharacteristic
1074C2×C4⋊C4C23×C5911yescharacteristic
1075C2×C4⋊C4C23×C5911yescharacteristic
1076C2×C4⋊C4C23×C5911yescharacteristic
1077C2×C4⋊C4C23×C5911yescharacteristic
1078C2×C4⋊C4C23×C5911yescharacteristic
1079C2×C4⋊C4C23×C5911yescharacteristic
1080C2×C4⋊C4C23×C5911yescharacteristic
1081C2×C4⋊C4C23×C5911yescharacteristic
1082C2×C4⋊C4C23×C5911yescharacteristic
1083C2×C4⋊C4C23×C5911yescharacteristic
1084C2×C4⋊C4C23×C5911yescharacteristic
1085C2×C4⋊C4C23×C5911yescharacteristic
1086C2×C4⋊C4C23×C5911yescharacteristic
1087C2×C4⋊C4C23×C5911yescharacteristic
1088C2×C4⋊C4C23×C5911yescharacteristic
1089C2×C4⋊C4C23×C5911yescharacteristic
1090C2×C4⋊C4C23×C5911yescharacteristic
1091C2×C4⋊C4C23×C5911yescharacteristic
1092C2×C4⋊C4C23×C5911yescharacteristic
1093C2×C4⋊C4C23×C5911yescharacteristic
1094C2×C22⋊C4—24no—
1095C2×C22⋊C4—24no—
1096C2×C22⋊C4—24no—
1097C2×C22⋊C4—42no—
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×C22⋊C4C23×C5911yescharacteristic
1132C2×C22⋊C4C23×C5911yescharacteristic
1133C2×C22⋊C4C23×C5911yescharacteristic
1134C2×C22⋊C4C23×C5911yescharacteristic
1135C2×C22⋊C4C23×C5911yescharacteristic
1136C2×C22⋊C4C23×C5911yescharacteristic
1137C2×C22⋊C4C23×C5911yescharacteristic
1138C2×C22⋊C4C23×C5911yescharacteristic
1139C2×C22⋊C4C23×C5911yescharacteristic
1140C2×C22⋊C4C23×C5911yescharacteristic
1141C2×C22⋊C4C23×C5911yescharacteristic
1142C2×C22⋊C4C23×C5911yescharacteristic
1143C2×C22⋊C4C23×C5911yescharacteristic
1144C2×C22⋊C4C23×C5911yescharacteristic
1145C2×C22⋊C4C23×C5911yescharacteristic
1146C2×C42C23×C5911yescharacteristic
1147C2×C42C23×C5911yescharacteristic
1148C2×C42C23×C5911yescharacteristic
1149C2×C42C23×C5911yescharacteristic
1150C2×C42C23×C5911yescharacteristic
1151C2×C42C23×C5911yescharacteristic
1152C2×C42C23×C5911yescharacteristic
1153C2×C42C23×C5911yescharacteristic
1154C2×C42C23×C5911yescharacteristic
1155C2×C42C23×C5911yescharacteristic
1156C2×C42C23×C5911yescharacteristic
1157C2×C42C23×C5911yescharacteristic
1158C2×C42C23×C5911yescharacteristic
1159C2×C42C23×C5911yescharacteristic
1160C2×C42C23×C5911yescharacteristic
1161C2×C42C23×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
1183#95C23×C5911yescharacteristic
1184#95C23×C5911yescharacteristic
1185#95C23×C5911yescharacteristic
1186#95C23×C5911yescharacteristic
1187#95C23×C5911yescharacteristic
1188#95C23×C5911yescharacteristic
1189#95C23×C5911yescharacteristic
1190#95C23×C5911yescharacteristic
1191#95C23×C5911yescharacteristic
1192C24—22no—
1193C24—22no—
1194C24—22no—
1195C24—22no—
1196C24—41no—
1197C24—41no—
1198C24—41no—
1199C24C24×C5911yescharacteristic
1200C24C24×C5911yescharacteristic
1201C24C24×C5911yescharacteristic
1202C24C24×C5911yescharacteristic
1203C24C24×C5911yescharacteristic
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—22no—
1207C2×Q8—41no—
1208C2×Q8—41no—
1209C2×Q8—41no—
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—22no—
1222C2×D4—22no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
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×C4C2×D4×C5914yes—
1260C22×C4#41×C5914yes—
1261C22×C4C24×C5911yescharacteristic
1262C22×C4C24×C5911yescharacteristic
1263C22×C4C24×C5911yescharacteristic
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
1287C4⋊C4—22no—
1288C4⋊C4—22no—
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—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4C2×D4×C5914yes—
1327C4⋊C4C2×D4×C5914yes—
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—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
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—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4C2×D4×C5914yes—
1374C22⋊C4C2×D4×C5914yes—
1375C22⋊C4#41×C5914yes—
1376C42—22no—
1377C42—22no—
1378C42—22no—
1379C42—22no—
1380C42—22no—
1381C42—22no—
1382C42—41no—
1383C42—41no—
1384C42—41no—
1385C42—41no—
1386C42—41no—
1387C42—41no—
1388C42—41no—
1389C42—41no—
1390C42C2×D4×C5914yes—
1391C42C2×D4×C5914yes—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
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—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—82no—
1428C23—82no—
1429C23—82no—
1430C23C22×D4×C5912yes—
1431C23C2×#41×C5912yes—
1432C23C2×#41×C5912yes—
1433C232−1+4×C5912yes—
1434C23C25×C5911yescharacteristic
1435Q8—44no—
1436Q8—82no—
1437D4—44no—
1438D4—44no—
1439D4—44no—
1440D4—44no—
1441D4—44no—
1442D4—82no—
1443D4—82no—
1444C2×C4—28no—
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—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—44no—
1513C2×C4—44no—
1514C2×C4—44no—
1515C2×C4—44no—
1516C2×C4—44no—
1517C2×C4—82no—
1518C2×C4—82no—
1519C2×C4—82no—
1520C2×C4—82no—
1521C2×C4C22×D4×C5912yes—
1522C2×C4C22×D4×C5912yes—
1523C2×C4C22×D4×C5912yes—
1524C2×C4C22×D4×C5912yes—
1525C2×C4C22×D4×C5912yes—
1526C2×C4C22×D4×C5912yes—
1527C2×C4C2×#41×C5912yes—
1528C2×C4C2×#41×C5912yes—
1529C2×C4C2×#41×C5912yes—
1530C2×C4C2×#41×C5912yes—
1531C2×C4H(5,𝔽2)×C5912yes—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
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—88no—
1567C22C59×#53214yes—
1568C22C23×D4×C5911yescharacteristic
1569C22C22×#41×C5911yescharacteristic
1570C22C22×#41×C5911yescharacteristic
1571C22C2×H(5,𝔽2)×C5911yescharacteristic
1572C22C2×2−1+4×C5911yescharacteristic
1573C22C59×#58511yescharacteristic
1574C22C59×#58511yescharacteristic
1575C4—22no—
1576C4—22no—
1577C4—22no—
1578C4—22no—
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C2—24no—
1602C2—42no—
1603C2—81no—
1604C2—81no—
1605C2—81no—
1606C2C2×C59×#53211yescharacteristic
1607C2C59×#348811yescharacteristic
1608C2C59×#348911yescharacteristic
1609C2C59×#349511yescharacteristic
1610C2C59×#350511yescharacteristic
1611C2C59×#352011yescharacteristic
1612C2C59×#352111yescharacteristic
subgroupG/H
center, socleC23×C59C25
commutator, Frattini, cosocleC23C25×C59
prime radicalC59×#2539C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C59 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C59×#552C2semidirect
2. C2×C59×#551C2semidirect
3. C59×#2664C2semidirect
4. C59×#2662C2semidirect
5. C59×#2618C2semidirect
6. C59×#2601C2semidirect
7. C59×#2601C2semidirect
8. C59×#2566C2semidirect
9. C59×#2558C2semidirect
10. C59×#2558C2semidirect
11. C59×#2556C2semidirect
12. C59×#2554C2semidirect
13. C59×#2545C2semidirect
15. C59×#2519C2semidirect
16. C59×#2512C2semidirect
17. C59×#2488C2semidirect
18. C59×#2472C2semidirect
19. C59×#2461C2semidirect
20. C59×#2452C2semidirect
21. C59×#2440C2semidirect
22. C59×#2413C2semidirect
23. C59×#2411C2semidirect
24. C59×#2396C2semidirect
25. C59×#2392C2semidirect
26. C2×C59×#396C2semidirect
27. C59×#2361C2semidirect
28. C59×#2359C2semidirect
29. C59×#2358C2semidirect
30. C59×#2342C2semidirect
31. C59×#2274C2semidirect
34. C2×C4⋊Q8×C59C22semidirect
37. C2×#126×C59C22semidirect
38. C2×#126×C59C22semidirect
39. C2×#125×C59C22semidirect
40. C2×#125×C59C22semidirect
41. C2×#125×C59C22semidirect
53. C2×C22⋊Q8×C59C22semidirect
57. C2×C4×Q8×C59C22semidirect
62. C2×C4×D4×C59C22semidirect
67. C2×#117×C59C22semidirect
75. C59×#400C22semidirect
76. C59×#400C22semidirect
79. C59×#398C22semidirect
80. C59×#398C22semidirect
81. C59×#398C22semidirect
82. C59×#398C22semidirect
83. C59×#398C22semidirect
84. C59×#398C22semidirect
86. C59×#397C22semidirect
97. C59×#396C22semidirect
98. C59×#396C22semidirect
99. C59×#396C22semidirect
100. C59×#396C22semidirect
101. C59×#396C22semidirect
102. C59×#396C22semidirect
103. C59×#395C22semidirect
104. C59×#395C22semidirect
109. C59×#394C22semidirect
110. C59×#394C22semidirect
112. C59×#393C22semidirect
115. C59×#391C22semidirect
124. C59×#390C22semidirect
125. C59×#389C22semidirect
126. C59×#389C22semidirect
127. C59×#389C22semidirect
128. C59×#389C22semidirect
129. C59×#389C22semidirect
130. C59×#389C22semidirect
141. C59×#388C22semidirect
142. C59×#388C22semidirect
143. C59×#388C22semidirect
144. C59×#388C22semidirect
145. C59×#388C22semidirect
146. C59×#388C22semidirect
147. C59×#388C22semidirect
148. C59×#388C22semidirect
149. C59×#387C22semidirect
150. C59×#387C22semidirect
162. C59×#385C22semidirect
163. C59×#385C22semidirect
164. C59×#385C22semidirect
165. C59×#384C22semidirect
166. C59×#382C22semidirect
170. C4×C4⋊C4×C59C22semidirect
171. C4×C4⋊C4×C59C22semidirect
172. C4×C4⋊C4×C59C22semidirect
173. C4×C4⋊C4×C59C22semidirect
174. C4×C4⋊C4×C59C22semidirect
175. C4×C4⋊C4×C59C22semidirect
176. C4×C4⋊C4×C59C22semidirect
177. C4×C4⋊C4×C59C22semidirect
178. C4×C4⋊C4×C59C22semidirect
179. C4×C4⋊C4×C59C22semidirect
187. C4×C22⋊C4×C59C22semidirect
242. #117×C59D4semidirect
725. #35825C59direct (N × H)
795. C2×#552C2×C59semidirect
796. C2×#551C2×C59semidirect
797. #2664C2×C59semidirect
798. #2662C2×C59semidirect
799. #2618C2×C59semidirect
800. #2601C2×C59semidirect
801. #2601C2×C59semidirect
802. #2566C2×C59semidirect
803. #2558C2×C59semidirect
804. #2558C2×C59semidirect
805. #2556C2×C59semidirect
806. #2554C2×C59semidirect
807. #2545C2×C59semidirect
809. #2519C2×C59semidirect
810. #2512C2×C59semidirect
811. #2488C2×C59semidirect
812. #2472C2×C59semidirect
813. #2461C2×C59semidirect
814. #2452C2×C59semidirect
815. #2440C2×C59semidirect
816. #2413C2×C59semidirect
817. #2411C2×C59semidirect
818. #2396C2×C59semidirect
819. #2392C2×C59semidirect
820. C2×#396C2×C59semidirect
821. #2361C2×C59semidirect
822. #2359C2×C59semidirect
823. #2358C2×C59semidirect
824. #2342C2×C59semidirect
825. #2274C2×C59semidirect
840. C2×C4⋊Q8C22×C59semidirect
843. C2×#126C22×C59semidirect
844. C2×#126C22×C59semidirect
845. C2×#125C22×C59semidirect
846. C2×#125C22×C59semidirect
847. C2×#125C22×C59semidirect
859. C2×C22⋊Q8C22×C59semidirect
863. C2×C4×Q8C22×C59semidirect
868. C2×C4×D4C22×C59semidirect
873. C2×#117C22×C59semidirect
881. #400C22×C59semidirect
882. #400C22×C59semidirect
885. #398C22×C59semidirect
886. #398C22×C59semidirect
887. #398C22×C59semidirect
888. #398C22×C59semidirect
889. #398C22×C59semidirect
890. #398C22×C59semidirect
892. #397C22×C59semidirect
903. #396C22×C59semidirect
904. #396C22×C59semidirect
905. #396C22×C59semidirect
906. #396C22×C59semidirect
907. #396C22×C59semidirect
908. #396C22×C59semidirect
909. #395C22×C59semidirect
910. #395C22×C59semidirect
915. #394C22×C59semidirect
916. #394C22×C59semidirect
918. #393C22×C59semidirect
921. #391C22×C59semidirect
930. #390C22×C59semidirect
931. #389C22×C59semidirect
932. #389C22×C59semidirect
933. #389C22×C59semidirect
934. #389C22×C59semidirect
935. #389C22×C59semidirect
936. #389C22×C59semidirect
947. #388C22×C59semidirect
948. #388C22×C59semidirect
949. #388C22×C59semidirect
950. #388C22×C59semidirect
951. #388C22×C59semidirect
952. #388C22×C59semidirect
953. #388C22×C59semidirect
954. #388C22×C59semidirect
955. #387C22×C59semidirect
956. #387C22×C59semidirect
968. #385C22×C59semidirect
969. #385C22×C59semidirect
970. #385C22×C59semidirect
971. #384C22×C59semidirect
972. #382C22×C59semidirect
976. C4×C4⋊C4C22×C59semidirect
977. C4×C4⋊C4C22×C59semidirect
978. C4×C4⋊C4C22×C59semidirect
979. C4×C4⋊C4C22×C59semidirect
980. C4×C4⋊C4C22×C59semidirect
981. C4×C4⋊C4C22×C59semidirect
982. C4×C4⋊C4C22×C59semidirect
983. C4×C4⋊C4C22×C59semidirect
984. C4×C4⋊C4C22×C59semidirect
985. C4×C4⋊C4C22×C59semidirect
993. C4×C22⋊C4C22×C59semidirect
995. C59#35825direct (N × H)
1049. #117D4×C59semidirect

Maximal subgroups

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

subgroupindex
C2×C59×#5522
C2×C59×#5512
C59×#26642
C59×#26622
C59×#26182
C59×#26012
C59×#25662
C59×#25582
C59×#25562
C59×#25542
C59×#25452
C59×#25392
C59×#25192
C59×#25122
C59×#24882
C59×#24722
C59×#24612
C59×#24522
C59×#24402
C59×#24132
C59×#24112
C59×#23962
C59×#23922
C2×C59×#3962
C59×#23612
C59×#23592
C59×#23582
C59×#23422
C59×#22742
#3582559