Finite Group Databasebeta

← C59×#35365 #28447474

Subgroups — C59×#35365 #28447474

Order 15104.

2718 conjugacy classes of subgroups.

The subgroup lattice has 1768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C59×#538C211yesmaximal, characteristic, complemented
2C2×C59×#518C211yesmaximal, characteristic, complemented
3C59×#2564C211yesmaximal, characteristic, complemented
4C59×#2543C211yesmaximal, characteristic, complemented
5C59×#2480C211yesmaximal, characteristic, complemented
6C59×#2478C211yesmaximal, characteristic, complemented
7C59×#2476C211yesmaximal, characteristic, complemented
8C59×#2474C211yesmaximal, characteristic, complemented
9C59×#2472C211yesmaximal, characteristic, complemented
10C59×#2470C211yesmaximal, characteristic, complemented
11C59×#2468C211yesmaximal, characteristic, complemented
12C59×#2466C211yesmaximal, characteristic, complemented
13C59×#2464C211yesmaximal, characteristic, complemented
14C59×#2461C211yesmaximal, characteristic, complemented
15C59×#2459C211yesmaximal, characteristic, complemented
16C59×#2457C211yesmaximal, characteristic, complemented
17C59×#2456C211yesmaximal, characteristic, complemented
18C59×#2455C211yesmaximal, characteristic, complemented
19C59×#2424C211yesmaximal, characteristic, complemented
20C59×#2418C211yesmaximal, characteristic, complemented
21C59×#2417C211yesmaximal, characteristic, complemented
22C59×#2416C211yesmaximal, characteristic, complemented
23C59×#2412C211yesmaximal, characteristic, complemented
24C59×#2412C211yesmaximal, characteristic, complemented
25C59×#2410C211yesmaximal, characteristic, complemented
26C59×#2410C211yesmaximal, characteristic, complemented
27C59×#2325C211yesmaximal, characteristic, complemented
28C59×#2325C211yesmaximal, characteristic, complemented
29C4×#121×C59C211yesmaximal, characteristic, complemented
30C4×#121×C59C211yesmaximal, characteristic, complemented
31C2×C59×#388C211yesmaximal, characteristic, complemented
32C23×D4×C59C2211yescharacteristic
33C59×#538—28no—
34C2×#126×C59C2211yescharacteristic
35C2×#126×C59C2211yescharacteristic, complemented
36C2×#124×C59C2211yescharacteristic
37C2×#124×C59C2211yescharacteristic, complemented
38C2×#123×C59C2211yescharacteristic
39C2×#123×C59C2211yescharacteristic, complemented
40C2×#123×C59C2211yescharacteristic, complemented
41C2×#123×C59C2211yescharacteristic, complemented
42C2×C22⋊Q8×C59C2211yescharacteristic, complemented
43C2×C22⋊Q8×C59C2211yescharacteristic, complemented
44C2×#121×C59C2211yescharacteristic
45C2×#121×C59C2211yescharacteristic
46C2×#121×C59C2211yescharacteristic
47C2×#121×C59C2211yescharacteristic
48C2×#121×C59C2211yescharacteristic
49C2×#121×C59C2211yescharacteristic, complemented
50C2×#121×C59C2211yescharacteristic, complemented
51C2×#121×C59C2211yescharacteristic, complemented
52C2×#120×C59C2211yescharacteristic
53C2×#120×C59C2211yescharacteristic
54C2×#120×C59C2211yescharacteristic
55C2×#120×C59C2211yescharacteristic
56C59×#518—28no—
57C2×C4×D4×C59C2211yescharacteristic
58C2×C4×D4×C59C2211yescharacteristic
59C2×C4×D4×C59C2211yescharacteristic
60C2×C4×D4×C59C2211yescharacteristic
61C2×C4×D4×C59C2211yescharacteristic
62C2×C4×D4×C59C2211yescharacteristic
63C2×C4×D4×C59C2211yescharacteristic
64C2×C4×D4×C59C2211yescharacteristic
65C2×C4×D4×C59C2211yescharacteristic, complemented
66C2×C4×D4×C59C2211yescharacteristic, complemented
67C2×C4×D4×C59C2211yescharacteristic, complemented
68C2×C4×D4×C59C2211yescharacteristic, complemented
69C2×#117×C59C2211yescharacteristic
70C2×#117×C59C2211yescharacteristic
71C22×C4⋊C4×C59C2211yescharacteristic, complemented
72C22×C22⋊C4×C59C2211yescharacteristic
73C22×C22⋊C4×C59C2211yescharacteristic
74C22×C22⋊C4×C59C2211yescharacteristic
75C22×C22⋊C4×C59C2211yescharacteristic
76C22×C22⋊C4×C59C2211yescharacteristic
77C22×C22⋊C4×C59C2211yescharacteristic
78C22×C42×C59C2211yescharacteristic, complemented
79C59×#400C2211yescharacteristic, complemented
80C59×#399C2211yescharacteristic, complemented
81C59×#398C2211yescharacteristic, complemented
82C59×#398C2211yescharacteristic, complemented
83C59×#398C2211yescharacteristic, complemented
84C59×#397C2211yescharacteristic
85C59×#397C2211yescharacteristic
86C59×#397C2211yescharacteristic
87C59×#397C2211yescharacteristic
88C59×#397C2211yescharacteristic, complemented
89C59×#396C2211yescharacteristic, complemented
90C59×#396C2211yescharacteristic, complemented
91C59×#396C2211yescharacteristic, complemented
92C59×#396C2211yescharacteristic, complemented
93C59×#395C2211yescharacteristic, complemented
94C59×#394C2211yescharacteristic
95C59×#394C2211yescharacteristic
96C59×#394C2211yescharacteristic
97C59×#394C2211yescharacteristic
98C59×#394C2211yescharacteristic
99C59×#394C2211yescharacteristic
100C59×#394C2211yescharacteristic
101C59×#394C2211yescharacteristic
102C59×#394C2211yescharacteristic, complemented
103C59×#394C2211yescharacteristic, complemented
104C59×#394C2211yescharacteristic, complemented
105C59×#393C2211yescharacteristic, complemented
106C59×#392C2211yescharacteristic
107C59×#392C2211yescharacteristic
108C59×#392C2211yescharacteristic
109C59×#392C2211yescharacteristic
110C59×#392C2211yescharacteristic, complemented
111C59×#391C2211yescharacteristic, complemented
112C59×#390C2211yescharacteristic, complemented
113C59×#390C2211yescharacteristic, complemented
114C59×#390C2211yescharacteristic, complemented
115C59×#389C2211yescharacteristic, complemented
116C59×#389C2211yescharacteristic, complemented
117C59×#389C2211yescharacteristic, complemented
118C59×#389C2211yescharacteristic, complemented
119C59×#388C2211yescharacteristic
120C59×#388C2211yescharacteristic
121C59×#388C2211yescharacteristic
122C59×#388C2211yescharacteristic
123C59×#388C2211yescharacteristic, complemented
124C59×#388C2211yescharacteristic, complemented
125C59×#388C2211yescharacteristic, complemented
126C59×#388C2211yescharacteristic, complemented
127C59×#388C2211yescharacteristic, complemented
128C59×#388C2211yescharacteristic, complemented
129C59×#388C2211yescharacteristic, complemented
130C59×#388C2211yescharacteristic, complemented
131C59×#388C2211yescharacteristic, complemented
132C59×#388C2211yescharacteristic, complemented
133C59×#388C2211yescharacteristic, complemented
134C59×#388C2211yescharacteristic, complemented
135C59×#388C2211yescharacteristic, complemented
136C59×#388C2211yescharacteristic, complemented
137C59×#387C2211yescharacteristic, complemented
138C59×#387C2211yescharacteristic, complemented
139C59×#387C2211yescharacteristic, complemented
140C59×#387C2211yescharacteristic, complemented
141C59×#387C2211yescharacteristic, complemented
142C59×#387C2211yescharacteristic, complemented
143C59×#386C2211yescharacteristic
144C59×#386C2211yescharacteristic
145C59×#386C2211yescharacteristic
146C59×#386C2211yescharacteristic
147C59×#386C2211yescharacteristic
148C59×#386C2211yescharacteristic
149C59×#386C2211yescharacteristic, complemented
150C59×#386C2211yescharacteristic, complemented
151C59×#386C2211yescharacteristic, complemented
152C59×#386C2211yescharacteristic, complemented
153C59×#386C2211yescharacteristic, complemented
154C59×#386C2211yescharacteristic, complemented
155C59×#386C2211yescharacteristic, complemented
156C59×#386C2211yescharacteristic, complemented
157C59×#386C2211yescharacteristic, complemented
158C59×#386C2211yescharacteristic, complemented
159C59×#386C2211yescharacteristic, complemented
160C59×#386C2211yescharacteristic, complemented
161C59×#385C2211yescharacteristic
162C59×#385C2211yescharacteristic
163C59×#385C2211yescharacteristic, complemented
164C59×#385C2211yescharacteristic, complemented
165C59×#385C2211yescharacteristic, complemented
166C59×#385C2211yescharacteristic, complemented
167C59×#385C2211yescharacteristic, complemented
168C59×#385C2211yescharacteristic, complemented
169C59×#385C2211yescharacteristic, complemented
170C59×#385C2211yescharacteristic, complemented
171C59×#381C2211yescharacteristic, complemented
172C59×#381C2211yescharacteristic, complemented
173C59×#380C2211yescharacteristic, complemented
174C59×#380C2211yescharacteristic, complemented
175C59×#380C2211yescharacteristic, complemented
176C59×#380C2211yescharacteristic, complemented
177C59×#380C2211yescharacteristic, complemented
178C59×#380C2211yescharacteristic, complemented
179C59×#379C2211yescharacteristic
180C59×#379C2211yescharacteristic
181C4×C4⋊C4×C59C2211yescharacteristic, complemented
182C4×C4⋊C4×C59C2211yescharacteristic, complemented
183C4×C22⋊C4×C59C2211yescharacteristic, complemented
184C4×C22⋊C4×C59C2211yescharacteristic, complemented
185C4×C22⋊C4×C59C2211yescharacteristic, complemented
186C4×C22⋊C4×C59C2211yescharacteristic, complemented
187C2×#95×C59C2211yescharacteristic, complemented
188C2×#95×C59C2211yescharacteristic, complemented
189C25×C59C2311yescharacteristic
190C25×C59C2311yescharacteristic
191C22×Q8×C59C2311yescharacteristic
192C22×D4×C59—24no—
193C22×D4×C59—24no—
194C22×D4×C59—24no—
195C22×D4×C59C2311yescharacteristic
196C22×D4×C59C2311yescharacteristic
197C22×D4×C59C2311yescharacteristic
198C22×D4×C59C2311yescharacteristic
199C22×D4×C59C2311yescharacteristic
200C22×D4×C59C2311yescharacteristic
201C22×D4×C59C2311yescharacteristic
202C22×D4×C59C2311yescharacteristic
203C22×D4×C59C2311yescharacteristic
204C22×D4×C59C2311yescharacteristic
205C22×D4×C59C2311yescharacteristic
206C22×D4×C59C2311yescharacteristic
207C22×D4×C59C2311yescharacteristic
208C22×D4×C59C2311yescharacteristic
209C22×D4×C59C2311yescharacteristic
210C23×C4×C59C2311yescharacteristic
211C23×C4×C59C2311yescharacteristic
212C23×C4×C59C2311yescharacteristic
213C23×C4×C59C2311yescharacteristic
214C23×C4×C59C2311yescharacteristic
215C23×C4×C59C2311yescharacteristic
216C23×C4×C59C2311yescharacteristic
217C23×C4×C59C2311yescharacteristic
218C23×C4×C59C2311yescharacteristic
219C23×C4×C59C2311yescharacteristic
220C23×C4×C59C2311yescharacteristic
221C23×C4×C59C2311yescharacteristic
222C23×C4×C59C2311yescharacteristic
223C23×C4×C59C2311yescharacteristic
224C23×C4×C59C2311yescharacteristic
225#126×C59—24no—
226#126×C59—24no—
227#124×C59—24no—
228#124×C59—24no—
229#123×C59—24no—
230#123×C59—24no—
231#123×C59—42no—
232#123×C59—42no—
233C22⋊Q8×C59—24no—
234C22⋊Q8×C59—42no—
235#121×C59—24no—
236#121×C59—24no—
237#121×C59—24no—
238#121×C59—24no—
239#121×C59—24no—
240#121×C59—24no—
241#121×C59—24no—
242#121×C59—42no—
243#120×C59—24no—
244#120×C59—24no—
245#120×C59—42no—
246#120×C59—42no—
247C4×D4×C59—24no—
248C4×D4×C59—24no—
249C4×D4×C59—24no—
250C4×D4×C59—24no—
251C4×D4×C59—24no—
252C4×D4×C59—24no—
253C4×D4×C59—24no—
254C4×D4×C59—24no—
255C4×D4×C59—24no—
256C4×D4×C59—24no—
257C4×D4×C59—42no—
258C4×D4×C59—42no—
259#117×C59—24no—
260#117×C59—24no—
261C2×C4⋊C4×C59—42no—
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×C4⋊C4×C59C2311yescharacteristic
288C2×C22⋊C4×C59—24no—
289C2×C22⋊C4×C59—24no—
290C2×C22⋊C4×C59—24no—
291C2×C22⋊C4×C59—42no—
292C2×C22⋊C4×C59—42no—
293C2×C22⋊C4×C59D418yescomplemented
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×C22⋊C4×C59C2311yescharacteristic
340C2×C22⋊C4×C59C2311yescharacteristic
341C2×C22⋊C4×C59C2311yescharacteristic
342C2×C22⋊C4×C59C2311yescharacteristic
343C2×C22⋊C4×C59C2311yescharacteristic
344C2×C22⋊C4×C59C2311yescharacteristic
345C2×C22⋊C4×C59C2311yescharacteristic
346C2×C22⋊C4×C59C2311yescharacteristic
347C2×C22⋊C4×C59C2311yescharacteristic
348C2×C42×C59—42no—
349C2×C42×C59C2311yescharacteristic
350C2×C42×C59C2311yescharacteristic
351C2×C42×C59C2311yescharacteristic
352C2×C42×C59C2311yescharacteristic
353C2×C42×C59C2311yescharacteristic
354C2×C42×C59C2311yescharacteristic
355C2×C42×C59C2311yescharacteristic
356C2×C42×C59C2311yescharacteristic
357C2×C42×C59C2311yescharacteristic
358C2×C42×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
385#95×C59C2311yescharacteristic
386#95×C59C2311yescharacteristic
387#95×C59C2311yescharacteristic
388#95×C59C2311yescharacteristic
389#95×C59C2311yescharacteristic
390#95×C59C2311yescharacteristic
391C24×C59—22no—
392C24×C59—22no—
393C24×C59—22no—
394C24×C59—22no—
395C24×C59—22no—
396C24×C59—41no—
397C24×C59—41no—
398C24×C59—41no—
399C24×C59—41no—
400C24×C59—41no—
401C24×C59—41no—
402C24×C59—41no—
403C24×C59—41no—
404C24×C59C2×D414yes—
405C24×C59C2411yescharacteristic
406C24×C59C2411yescharacteristic
407C24×C59C2411yescharacteristic
408C24×C59C2411yescharacteristic
409C24×C59C2411yescharacteristic
410C24×C59C2411yescharacteristic
411C24×C59C2411yescharacteristic
412C2×Q8×C59—22no—
413C2×Q8×C59—41no—
414C2×Q8×C59—41no—
415C2×D4×C59—232no—
416C2×D4×C59—22no—
417C2×D4×C59—22no—
418C2×D4×C59—22no—
419C2×D4×C59—22no—
420C2×D4×C59—22no—
421C2×D4×C59—22no—
422C2×D4×C59—22no—
423C2×D4×C59—22no—
424C2×D4×C59—22no—
425C2×D4×C59—22no—
426C2×D4×C59—22no—
427C2×D4×C59—22no—
428C2×D4×C59—22no—
429C2×D4×C59—22no—
430C2×D4×C59—22no—
431C2×D4×C59—22no—
432C2×D4×C59—22no—
433C2×D4×C59—22no—
434C2×D4×C59—22no—
435C2×D4×C59—22no—
436C2×D4×C59—22no—
437C2×D4×C59—22no—
438C2×D4×C59—22no—
439C2×D4×C59—22no—
440C2×D4×C59—22no—
441C2×D4×C59—22no—
442C2×D4×C59—22no—
443C2×D4×C59—41no—
444C2×D4×C59—41no—
445C2×D4×C59—41no—
446C2×D4×C59—41no—
447C2×D4×C59—41no—
448C2×D4×C59—41no—
449C2×D4×C59—41no—
450C2×D4×C59—41no—
451C2×D4×C59—41no—
452C2×D4×C59—41no—
453C2×D4×C59—41no—
454C2×D4×C59—41no—
455C2×D4×C59—41no—
456C2×D4×C59—41no—
457C2×D4×C59—41no—
458C2×D4×C59—41no—
459C2×D4×C59#4114yes—
460C2×D4×C59#4114yes—
461C22×C4×C59—22no—
462C22×C4×C59—22no—
463C22×C4×C59—22no—
464C22×C4×C59—22no—
465C22×C4×C59—22no—
466C22×C4×C59—22no—
467C22×C4×C59—22no—
468C22×C4×C59—22no—
469C22×C4×C59—22no—
470C22×C4×C59—22no—
471C22×C4×C59—22no—
472C22×C4×C59—22no—
473C22×C4×C59—22no—
474C22×C4×C59—22no—
475C22×C4×C59—22no—
476C22×C4×C59—22no—
477C22×C4×C59—22no—
478C22×C4×C59—41no—
479C22×C4×C59—41no—
480C22×C4×C59—41no—
481C22×C4×C59—41no—
482C22×C4×C59—41no—
483C22×C4×C59—41no—
484C22×C4×C59—41no—
485C22×C4×C59—41no—
486C22×C4×C59—41no—
487C22×C4×C59—41no—
488C22×C4×C59—41no—
489C22×C4×C59—41no—
490C22×C4×C59—41no—
491C22×C4×C59—41no—
492C22×C4×C59—41no—
493C22×C4×C59—41no—
494C22×C4×C59—41no—
495C22×C4×C59—41no—
496C22×C4×C59—41no—
497C22×C4×C59—41no—
498C22×C4×C59—41no—
499C22×C4×C59—41no—
500C22×C4×C59—41no—
501C22×C4×C59—41no—
502C22×C4×C59—41no—
503C22×C4×C59—41no—
504C22×C4×C59C2×D414yes—
505C22×C4×C59C2×D414yes—
506C22×C4×C59C2411yescharacteristic
507C22×C4×C59C2411yescharacteristic
508C22×C4×C59C2411yescharacteristic
509C22×C4×C59C2411yescharacteristic
510C22×C4×C59C2411yescharacteristic
511C22×C4×C59C2411yescharacteristic
512C22×C4×C59C2411yescharacteristic
513C22×C4×C59C2411yescharacteristic
514C22×C4×C59C2411yescharacteristic
515C22×C4×C59C2411yescharacteristic
516C22×C4×C59C2411yescharacteristic
517C22×C4×C59C2411yescharacteristic
518C22×C4×C59C2411yescharacteristic
519C22×C4×C59C2411yescharacteristic
520C22×C4×C59C2411yescharacteristic
521C22×C4×C59C2411yescharacteristic
522C22×C4×C59C2411yescharacteristic
523C22×C4×C59C2411yescharacteristic
524C22×C4×C59C2411yescharacteristic
525C22×C4×C59C2411yescharacteristic
526C22×C4×C59C2411yescharacteristic
527C22×C4×C59C2411yescharacteristic
528C22×C4×C59C2411yescharacteristic
529C22×C4×C59C2411yescharacteristic
530C4⋊C4×C59—22no—
531C4⋊C4×C59—22no—
532C4⋊C4×C59—22no—
533C4⋊C4×C59—22no—
534C4⋊C4×C59—22no—
535C4⋊C4×C59—22no—
536C4⋊C4×C59—22no—
537C4⋊C4×C59—22no—
538C4⋊C4×C59—22no—
539C4⋊C4×C59—22no—
540C4⋊C4×C59—22no—
541C4⋊C4×C59—22no—
542C4⋊C4×C59—22no—
543C4⋊C4×C59—22no—
544C4⋊C4×C59—22no—
545C4⋊C4×C59—22no—
546C4⋊C4×C59—22no—
547C4⋊C4×C59—22no—
548C4⋊C4×C59—41no—
549C4⋊C4×C59—41no—
550C4⋊C4×C59—41no—
551C4⋊C4×C59—41no—
552C4⋊C4×C59—41no—
553C4⋊C4×C59—41no—
554C4⋊C4×C59—41no—
555C4⋊C4×C59—41no—
556C22⋊C4×C59—22no—
557C22⋊C4×C59—22no—
558C22⋊C4×C59—22no—
559C22⋊C4×C59—22no—
560C22⋊C4×C59—22no—
561C22⋊C4×C59—22no—
562C22⋊C4×C59—22no—
563C22⋊C4×C59—22no—
564C22⋊C4×C59—22no—
565C22⋊C4×C59—22no—
566C22⋊C4×C59—22no—
567C22⋊C4×C59—22no—
568C22⋊C4×C59—22no—
569C22⋊C4×C59—22no—
570C22⋊C4×C59—22no—
571C22⋊C4×C59—22no—
572C22⋊C4×C59—22no—
573C22⋊C4×C59—22no—
574C22⋊C4×C59—22no—
575C22⋊C4×C59—22no—
576C22⋊C4×C59—22no—
577C22⋊C4×C59—22no—
578C22⋊C4×C59—22no—
579C22⋊C4×C59—22no—
580C22⋊C4×C59—22no—
581C22⋊C4×C59—22no—
582C22⋊C4×C59—22no—
583C22⋊C4×C59—22no—
584C22⋊C4×C59—22no—
585C22⋊C4×C59—22no—
586C22⋊C4×C59—22no—
587C22⋊C4×C59—22no—
588C22⋊C4×C59—22no—
589C22⋊C4×C59—22no—
590C22⋊C4×C59—41no—
591C22⋊C4×C59—41no—
592C22⋊C4×C59—41no—
593C22⋊C4×C59—41no—
594C22⋊C4×C59—41no—
595C22⋊C4×C59—41no—
596C22⋊C4×C59—41no—
597C22⋊C4×C59—41no—
598C22⋊C4×C59—41no—
599C22⋊C4×C59—41no—
600C22⋊C4×C59—41no—
601C22⋊C4×C59—41no—
602C22⋊C4×C59—41no—
603C22⋊C4×C59—41no—
604C22⋊C4×C59—41no—
605C22⋊C4×C59—41no—
606C22⋊C4×C59C2×D414yes—
607C22⋊C4×C59C2×D414yes—
608C22⋊C4×C59C2×D414yes—
609C22⋊C4×C59C2×D414yes—
610C42×C59—22no—
611C42×C59—22no—
612C42×C59—22no—
613C42×C59—22no—
614C42×C59—22no—
615C42×C59—22no—
616C42×C59—22no—
617C42×C59—22no—
618C42×C59—41no—
619C42×C59—41no—
620C23×C59—21no—
621C23×C59—21no—
622C23×C59—21no—
623C23×C59—21no—
624C23×C59—28no—
625C23×C59—21no—
626C23×C59—21no—
627C23×C59—21no—
628C23×C59—21no—
629C23×C59—21no—
630C23×C59—21no—
631C23×C59—21no—
632C23×C59—21no—
633C23×C59—21no—
634C23×C59—21no—
635C23×C59—21no—
636C23×C59—21no—
637C23×C59—21no—
638C23×C59—21no—
639C23×C59—21no—
640C23×C59—21no—
641C23×C59—21no—
642C23×C59—21no—
643C23×C59—21no—
644C23×C59—21no—
645C23×C59—21no—
646C23×C59—21no—
647C23×C59—21no—
648C23×C59—21no—
649C23×C59—28no—
650C23×C59—21no—
651C23×C59—21no—
652C23×C59—21no—
653C23×C59—21no—
654C23×C59—21no—
655C23×C59—21no—
656C23×C59—21no—
657C23×C59—21no—
658C23×C59—21no—
659C23×C59—21no—
660C23×C59—21no—
661C23×C59—21no—
662C23×C59—21no—
663C23×C59—21no—
664C23×C59—44no—
665C23×C59—44no—
666C23×C59—82no—
667C23×C59—82no—
668C23×C59—82no—
669C23×C59—82no—
670C23×C59—82no—
671C23×C59—82no—
672C23×C59—82no—
673C23×C59—82no—
674C23×C59—82no—
675C23×C59—82no—
676C23×C59C22×D412yes—
677C23×C59C22×D412yes—
678C23×C59C22×D412yes—
679C23×C59C2×#4112yes—
680C23×C59C2×#4112yes—
681C23×C59C2×#4112yes—
682C23×C59C2×#4112yes—
683C23×C59C2511yescharacteristic
684Q8×C59—82no—
685D4×C59—28no—
686D4×C59—28no—
687D4×C59—28no—
688D4×C59—28no—
689D4×C59—44no—
690D4×C59—44no—
691D4×C59—44no—
692D4×C59—44no—
693D4×C59—82no—
694D4×C59—82no—
695D4×C59—82no—
696D4×C59—82no—
697D4×C59—82no—
698D4×C59—82no—
699D4×C59—82no—
700C2×C4×C59—28no—
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—21no—
709C2×C4×C59—21no—
710C2×C4×C59—21no—
711C2×C4×C59—21no—
712C2×C4×C59—21no—
713C2×C4×C59—21no—
714C2×C4×C59—21no—
715C2×C4×C59—21no—
716C2×C4×C59—21no—
717C2×C4×C59—21no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—21no—
728C2×C4×C59—21no—
729C2×C4×C59—21no—
730C2×C4×C59—21no—
731C2×C4×C59—21no—
732C2×C4×C59—21no—
733C2×C4×C59—21no—
734C2×C4×C59—21no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—21no—
760C2×C4×C59—21no—
761C2×C4×C59—21no—
762C2×C4×C59—21no—
763C2×C4×C59—21no—
764C2×C4×C59—21no—
765C2×C4×C59—44no—
766C2×C4×C59—44no—
767C2×C4×C59—44no—
768C2×C4×C59—44no—
769C2×C4×C59—82no—
770C2×C4×C59—82no—
771C2×C4×C59—82no—
772C2×C4×C59—82no—
773C2×C4×C59—82no—
774C2×C4×C59—82no—
775C2×C4×C59—82no—
776C2×C4×C59—82no—
777C2×C4×C59—82no—
778C2×C4×C59—82no—
779C2×C4×C59C22×D412yes—
780C2×C4×C59C22×D412yes—
781C2×C4×C59C22×D412yes—
782C2×C4×C59C22×D412yes—
783C2×C4×C59C2×#4112yes—
784C2×C4×C59C2×#4112yes—
785C2×C4×C59H(5,𝔽2)12yes—
786C2×C4×C59H(5,𝔽2)12yes—
787#35365C5911yesmaximal, characteristic, direct product factor, Sylow
788C22×C59—22no—
789C22×C59—22no—
790C22×C59—22no—
791C22×C59—22no—
792C22×C59—22no—
793C22×C59—22no—
794C22×C59—22no—
795C22×C59—22no—
796C22×C59—22no—
797C22×C59—22no—
798C22×C59—22no—
799C22×C59—22no—
800C22×C59—22no—
801C22×C59—22no—
802C22×C59—22no—
803C22×C59—22no—
804C22×C59—22no—
805C22×C59—22no—
806C22×C59—41no—
807C22×C59—41no—
808C22×C59—41no—
809C22×C59—41no—
810C22×C59—41no—
811C22×C59—41no—
812C22×C59—41no—
813C22×C59—41no—
814C22×C59—41no—
815C22×C59—41no—
816C22×C59—41no—
817C22×C59—41no—
818C22×C59—41no—
819C22×C59—41no—
820C22×C59—41no—
821C22×C59—41no—
822C22×C59—41no—
823C22×C59—41no—
824C22×C59—41no—
825C22×C59—41no—
826C22×C59—41no—
827C22×C59—41no—
828C22×C59—41no—
829C22×C59—41no—
830C22×C59—41no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59—88no—
837C22×C59—88no—
838C22×C59#52514yes—
839C22×C59C23×D411yescharacteristic
840C22×C59C22×#4111yescharacteristic
841C22×C59C22×#4111yescharacteristic
842C22×C59C2×H(5,𝔽2)11yescharacteristic
843C22×C59C2×H(5,𝔽2)11yescharacteristic
844C22×C59#58511yescharacteristic
845C22×C59#58511yescharacteristic
846C4×C59—22no—
847C4×C59—22no—
848C4×C59—22no—
849C4×C59—22no—
850C4×C59—22no—
851C4×C59—22no—
852C4×C59—22no—
853C4×C59—22no—
854C4×C59—41no—
855C4×C59—41no—
856C4×C59—41no—
857C4×C59—41no—
858C4×C59—41no—
859C4×C59—41no—
860C4×C59—41no—
861C4×C59—41no—
862C4×C59—41no—
863C4×C59—41no—
864C4×C59—41no—
865C4×C59—41no—
866C4×C59—41no—
867C4×C59—41no—
868C4×C59—41no—
869C4×C59—41no—
870C2×#538C2×C5911yescharacteristic, complemented
871C2×#518C2×C5911yescharacteristic, complemented
872#2564C2×C5911yescharacteristic, complemented
873#2543C2×C5911yescharacteristic, complemented
874#2480C2×C5911yescharacteristic, complemented
875#2478C2×C5911yescharacteristic, complemented
876#2476C2×C5911yescharacteristic, complemented
877#2474C2×C5911yescharacteristic, complemented
878#2472C2×C5911yescharacteristic, complemented
879#2470C2×C5911yescharacteristic, complemented
880#2468C2×C5911yescharacteristic, complemented
881#2466C2×C5911yescharacteristic, complemented
882#2464C2×C5911yescharacteristic, complemented
883#2461C2×C5911yescharacteristic, complemented
884#2459C2×C5911yescharacteristic, complemented
885#2457C2×C5911yescharacteristic, complemented
886#2456C2×C5911yescharacteristic, complemented
887#2455C2×C5911yescharacteristic, complemented
888#2424C2×C5911yescharacteristic, complemented
889#2418C2×C5911yescharacteristic, complemented
890#2417C2×C5911yescharacteristic, complemented
891#2416C2×C5911yescharacteristic, complemented
892#2412C2×C5911yescharacteristic, complemented
893#2412C2×C5911yescharacteristic, complemented
894#2410C2×C5911yescharacteristic, complemented
895#2410C2×C5911yescharacteristic, complemented
896#2325C2×C5911yescharacteristic, complemented
897#2325C2×C5911yescharacteristic, complemented
898C4×#121C2×C5911yescharacteristic, complemented
899C4×#121C2×C5911yescharacteristic, complemented
900C2×#388C2×C5911yescharacteristic, complemented
901C2×C59—24no—
902C2×C59—42no—
903C2×C59—42no—
904C2×C59—42no—
905C2×C59—42no—
906C2×C59—81no—
907C2×C59—81no—
908C2×C59C2×#52511yescharacteristic
909C2×C59#349611yescharacteristic
910C2×C59#349611yescharacteristic
911C2×C59#351311yescharacteristic
912C2×C59#351411yescharacteristic
913C2×C59#351911yescharacteristic
914C2×C59#352111yescharacteristic
915C23×D4C22×C5911yescharacteristic
916#538—28no—
917C2×#126C22×C5911yescharacteristic
918C2×#126C22×C5911yescharacteristic, complemented
919C2×#124C22×C5911yescharacteristic
920C2×#124C22×C5911yescharacteristic, complemented
921C2×#123C22×C5911yescharacteristic
922C2×#123C22×C5911yescharacteristic, complemented
923C2×#123C22×C5911yescharacteristic, complemented
924C2×#123C22×C5911yescharacteristic, complemented
925C2×C22⋊Q8C22×C5911yescharacteristic, complemented
926C2×C22⋊Q8C22×C5911yescharacteristic, complemented
927C2×#121C22×C5911yescharacteristic
928C2×#121C22×C5911yescharacteristic
929C2×#121C22×C5911yescharacteristic
930C2×#121C22×C5911yescharacteristic
931C2×#121C22×C5911yescharacteristic
932C2×#121C22×C5911yescharacteristic, complemented
933C2×#121C22×C5911yescharacteristic, complemented
934C2×#121C22×C5911yescharacteristic, complemented
935C2×#120C22×C5911yescharacteristic
936C2×#120C22×C5911yescharacteristic
937C2×#120C22×C5911yescharacteristic
938C2×#120C22×C5911yescharacteristic
939#518—28no—
940C2×C4×D4C22×C5911yescharacteristic
941C2×C4×D4C22×C5911yescharacteristic
942C2×C4×D4C22×C5911yescharacteristic
943C2×C4×D4C22×C5911yescharacteristic
944C2×C4×D4C22×C5911yescharacteristic
945C2×C4×D4C22×C5911yescharacteristic
946C2×C4×D4C22×C5911yescharacteristic
947C2×C4×D4C22×C5911yescharacteristic
948C2×C4×D4C22×C5911yescharacteristic, complemented
949C2×C4×D4C22×C5911yescharacteristic, complemented
950C2×C4×D4C22×C5911yescharacteristic, complemented
951C2×C4×D4C22×C5911yescharacteristic, complemented
952C2×#117C22×C5911yescharacteristic
953C2×#117C22×C5911yescharacteristic
954C22×C4⋊C4C22×C5911yescharacteristic, complemented
955C22×C22⋊C4C22×C5911yescharacteristic
956C22×C22⋊C4C22×C5911yescharacteristic
957C22×C22⋊C4C22×C5911yescharacteristic
958C22×C22⋊C4C22×C5911yescharacteristic
959C22×C22⋊C4C22×C5911yescharacteristic
960C22×C22⋊C4C22×C5911yescharacteristic
961C22×C42C22×C5911yescharacteristic, complemented
962#400C22×C5911yescharacteristic, complemented
963#399C22×C5911yescharacteristic, complemented
964#398C22×C5911yescharacteristic, complemented
965#398C22×C5911yescharacteristic, complemented
966#398C22×C5911yescharacteristic, complemented
967#397C22×C5911yescharacteristic
968#397C22×C5911yescharacteristic
969#397C22×C5911yescharacteristic
970#397C22×C5911yescharacteristic
971#397C22×C5911yescharacteristic, complemented
972#396C22×C5911yescharacteristic, complemented
973#396C22×C5911yescharacteristic, complemented
974#396C22×C5911yescharacteristic, complemented
975#396C22×C5911yescharacteristic, complemented
976#395C22×C5911yescharacteristic, complemented
977#394C22×C5911yescharacteristic
978#394C22×C5911yescharacteristic
979#394C22×C5911yescharacteristic
980#394C22×C5911yescharacteristic
981#394C22×C5911yescharacteristic
982#394C22×C5911yescharacteristic
983#394C22×C5911yescharacteristic
984#394C22×C5911yescharacteristic
985#394C22×C5911yescharacteristic, complemented
986#394C22×C5911yescharacteristic, complemented
987#394C22×C5911yescharacteristic, complemented
988#393C22×C5911yescharacteristic, complemented
989#392C22×C5911yescharacteristic
990#392C22×C5911yescharacteristic
991#392C22×C5911yescharacteristic
992#392C22×C5911yescharacteristic
993#392C22×C5911yescharacteristic, complemented
994#391C22×C5911yescharacteristic, complemented
995#390C22×C5911yescharacteristic, complemented
996#390C22×C5911yescharacteristic, complemented
997#390C22×C5911yescharacteristic, complemented
998#389C22×C5911yescharacteristic, complemented
999#389C22×C5911yescharacteristic, complemented
1000#389C22×C5911yescharacteristic, complemented
1001#389C22×C5911yescharacteristic, complemented
1002#388C22×C5911yescharacteristic
1003#388C22×C5911yescharacteristic
1004#388C22×C5911yescharacteristic
1005#388C22×C5911yescharacteristic
1006#388C22×C5911yescharacteristic, complemented
1007#388C22×C5911yescharacteristic, complemented
1008#388C22×C5911yescharacteristic, complemented
1009#388C22×C5911yescharacteristic, complemented
1010#388C22×C5911yescharacteristic, complemented
1011#388C22×C5911yescharacteristic, complemented
1012#388C22×C5911yescharacteristic, complemented
1013#388C22×C5911yescharacteristic, complemented
1014#388C22×C5911yescharacteristic, complemented
1015#388C22×C5911yescharacteristic, complemented
1016#388C22×C5911yescharacteristic, complemented
1017#388C22×C5911yescharacteristic, complemented
1018#388C22×C5911yescharacteristic, complemented
1019#388C22×C5911yescharacteristic, complemented
1020#387C22×C5911yescharacteristic, complemented
1021#387C22×C5911yescharacteristic, complemented
1022#387C22×C5911yescharacteristic, complemented
1023#387C22×C5911yescharacteristic, complemented
1024#387C22×C5911yescharacteristic, complemented
1025#387C22×C5911yescharacteristic, complemented
1026#386C22×C5911yescharacteristic
1027#386C22×C5911yescharacteristic
1028#386C22×C5911yescharacteristic
1029#386C22×C5911yescharacteristic
1030#386C22×C5911yescharacteristic
1031#386C22×C5911yescharacteristic
1032#386C22×C5911yescharacteristic, complemented
1033#386C22×C5911yescharacteristic, complemented
1034#386C22×C5911yescharacteristic, complemented
1035#386C22×C5911yescharacteristic, complemented
1036#386C22×C5911yescharacteristic, complemented
1037#386C22×C5911yescharacteristic, complemented
1038#386C22×C5911yescharacteristic, complemented
1039#386C22×C5911yescharacteristic, complemented
1040#386C22×C5911yescharacteristic, complemented
1041#386C22×C5911yescharacteristic, complemented
1042#386C22×C5911yescharacteristic, complemented
1043#386C22×C5911yescharacteristic, complemented
1044#385C22×C5911yescharacteristic
1045#385C22×C5911yescharacteristic
1046#385C22×C5911yescharacteristic, complemented
1047#385C22×C5911yescharacteristic, complemented
1048#385C22×C5911yescharacteristic, complemented
1049#385C22×C5911yescharacteristic, complemented
1050#385C22×C5911yescharacteristic, complemented
1051#385C22×C5911yescharacteristic, complemented
1052#385C22×C5911yescharacteristic, complemented
1053#385C22×C5911yescharacteristic, complemented
1054#381C22×C5911yescharacteristic, complemented
1055#381C22×C5911yescharacteristic, complemented
1056#380C22×C5911yescharacteristic, complemented
1057#380C22×C5911yescharacteristic, complemented
1058#380C22×C5911yescharacteristic, complemented
1059#380C22×C5911yescharacteristic, complemented
1060#380C22×C5911yescharacteristic, complemented
1061#380C22×C5911yescharacteristic, complemented
1062#379C22×C5911yescharacteristic
1063#379C22×C5911yescharacteristic
1064C4×C4⋊C4C22×C5911yescharacteristic, complemented
1065C4×C4⋊C4C22×C5911yescharacteristic, complemented
1066C4×C22⋊C4C22×C5911yescharacteristic, complemented
1067C4×C22⋊C4C22×C5911yescharacteristic, complemented
1068C4×C22⋊C4C22×C5911yescharacteristic, complemented
1069C4×C22⋊C4C22×C5911yescharacteristic, complemented
1070C2×#95C22×C5911yescharacteristic, complemented
1071C2×#95C22×C5911yescharacteristic, complemented
1072C59#3536511yescharacteristic, direct product factor, Sylow
1073C25C23×C5911yescharacteristic
1074C25C23×C5911yescharacteristic
1075C22×Q8C23×C5911yescharacteristic
1076C22×D4—24no—
1077C22×D4—24no—
1078C22×D4—24no—
1079C22×D4C23×C5911yescharacteristic
1080C22×D4C23×C5911yescharacteristic
1081C22×D4C23×C5911yescharacteristic
1082C22×D4C23×C5911yescharacteristic
1083C22×D4C23×C5911yescharacteristic
1084C22×D4C23×C5911yescharacteristic
1085C22×D4C23×C5911yescharacteristic
1086C22×D4C23×C5911yescharacteristic
1087C22×D4C23×C5911yescharacteristic
1088C22×D4C23×C5911yescharacteristic
1089C22×D4C23×C5911yescharacteristic
1090C22×D4C23×C5911yescharacteristic
1091C22×D4C23×C5911yescharacteristic
1092C22×D4C23×C5911yescharacteristic
1093C22×D4C23×C5911yescharacteristic
1094C23×C4C23×C5911yescharacteristic
1095C23×C4C23×C5911yescharacteristic
1096C23×C4C23×C5911yescharacteristic
1097C23×C4C23×C5911yescharacteristic
1098C23×C4C23×C5911yescharacteristic
1099C23×C4C23×C5911yescharacteristic
1100C23×C4C23×C5911yescharacteristic
1101C23×C4C23×C5911yescharacteristic
1102C23×C4C23×C5911yescharacteristic
1103C23×C4C23×C5911yescharacteristic
1104C23×C4C23×C5911yescharacteristic
1105C23×C4C23×C5911yescharacteristic
1106C23×C4C23×C5911yescharacteristic
1107C23×C4C23×C5911yescharacteristic
1108C23×C4C23×C5911yescharacteristic
1109#126—24no—
1110#126—24no—
1111#124—24no—
1112#124—24no—
1113#123—24no—
1114#123—24no—
1115#123—42no—
1116#123—42no—
1117C22⋊Q8—24no—
1118C22⋊Q8—42no—
1119#121—24no—
1120#121—24no—
1121#121—24no—
1122#121—24no—
1123#121—24no—
1124#121—24no—
1125#121—24no—
1126#121—42no—
1127#120—24no—
1128#120—24no—
1129#120—42no—
1130#120—42no—
1131C4×D4—24no—
1132C4×D4—24no—
1133C4×D4—24no—
1134C4×D4—24no—
1135C4×D4—24no—
1136C4×D4—24no—
1137C4×D4—24no—
1138C4×D4—24no—
1139C4×D4—24no—
1140C4×D4—24no—
1141C4×D4—42no—
1142C4×D4—42no—
1143#117—24no—
1144#117—24no—
1145C2×C4⋊C4—42no—
1146C2×C4⋊C4C23×C5911yescharacteristic
1147C2×C4⋊C4C23×C5911yescharacteristic
1148C2×C4⋊C4C23×C5911yescharacteristic
1149C2×C4⋊C4C23×C5911yescharacteristic
1150C2×C4⋊C4C23×C5911yescharacteristic
1151C2×C4⋊C4C23×C5911yescharacteristic
1152C2×C4⋊C4C23×C5911yescharacteristic
1153C2×C4⋊C4C23×C5911yescharacteristic
1154C2×C4⋊C4C23×C5911yescharacteristic
1155C2×C4⋊C4C23×C5911yescharacteristic
1156C2×C4⋊C4C23×C5911yescharacteristic
1157C2×C4⋊C4C23×C5911yescharacteristic
1158C2×C4⋊C4C23×C5911yescharacteristic
1159C2×C4⋊C4C23×C5911yescharacteristic
1160C2×C4⋊C4C23×C5911yescharacteristic
1161C2×C4⋊C4C23×C5911yescharacteristic
1162C2×C4⋊C4C23×C5911yescharacteristic
1163C2×C4⋊C4C23×C5911yescharacteristic
1164C2×C4⋊C4C23×C5911yescharacteristic
1165C2×C4⋊C4C23×C5911yescharacteristic
1166C2×C4⋊C4C23×C5911yescharacteristic
1167C2×C4⋊C4C23×C5911yescharacteristic
1168C2×C4⋊C4C23×C5911yescharacteristic
1169C2×C4⋊C4C23×C5911yescharacteristic
1170C2×C4⋊C4C23×C5911yescharacteristic
1171C2×C4⋊C4C23×C5911yescharacteristic
1172C2×C22⋊C4—24no—
1173C2×C22⋊C4—24no—
1174C2×C22⋊C4—24no—
1175C2×C22⋊C4—42no—
1176C2×C22⋊C4—42no—
1177C2×C22⋊C4D4×C5918yescomplemented
1178C2×C22⋊C4C23×C5911yescharacteristic
1179C2×C22⋊C4C23×C5911yescharacteristic
1180C2×C22⋊C4C23×C5911yescharacteristic
1181C2×C22⋊C4C23×C5911yescharacteristic
1182C2×C22⋊C4C23×C5911yescharacteristic
1183C2×C22⋊C4C23×C5911yescharacteristic
1184C2×C22⋊C4C23×C5911yescharacteristic
1185C2×C22⋊C4C23×C5911yescharacteristic
1186C2×C22⋊C4C23×C5911yescharacteristic
1187C2×C22⋊C4C23×C5911yescharacteristic
1188C2×C22⋊C4C23×C5911yescharacteristic
1189C2×C22⋊C4C23×C5911yescharacteristic
1190C2×C22⋊C4C23×C5911yescharacteristic
1191C2×C22⋊C4C23×C5911yescharacteristic
1192C2×C22⋊C4C23×C5911yescharacteristic
1193C2×C22⋊C4C23×C5911yescharacteristic
1194C2×C22⋊C4C23×C5911yescharacteristic
1195C2×C22⋊C4C23×C5911yescharacteristic
1196C2×C22⋊C4C23×C5911yescharacteristic
1197C2×C22⋊C4C23×C5911yescharacteristic
1198C2×C22⋊C4C23×C5911yescharacteristic
1199C2×C22⋊C4C23×C5911yescharacteristic
1200C2×C22⋊C4C23×C5911yescharacteristic
1201C2×C22⋊C4C23×C5911yescharacteristic
1202C2×C22⋊C4C23×C5911yescharacteristic
1203C2×C22⋊C4C23×C5911yescharacteristic
1204C2×C22⋊C4C23×C5911yescharacteristic
1205C2×C22⋊C4C23×C5911yescharacteristic
1206C2×C22⋊C4C23×C5911yescharacteristic
1207C2×C22⋊C4C23×C5911yescharacteristic
1208C2×C22⋊C4C23×C5911yescharacteristic
1209C2×C22⋊C4C23×C5911yescharacteristic
1210C2×C22⋊C4C23×C5911yescharacteristic
1211C2×C22⋊C4C23×C5911yescharacteristic
1212C2×C22⋊C4C23×C5911yescharacteristic
1213C2×C22⋊C4C23×C5911yescharacteristic
1214C2×C22⋊C4C23×C5911yescharacteristic
1215C2×C22⋊C4C23×C5911yescharacteristic
1216C2×C22⋊C4C23×C5911yescharacteristic
1217C2×C22⋊C4C23×C5911yescharacteristic
1218C2×C22⋊C4C23×C5911yescharacteristic
1219C2×C22⋊C4C23×C5911yescharacteristic
1220C2×C22⋊C4C23×C5911yescharacteristic
1221C2×C22⋊C4C23×C5911yescharacteristic
1222C2×C22⋊C4C23×C5911yescharacteristic
1223C2×C22⋊C4C23×C5911yescharacteristic
1224C2×C22⋊C4C23×C5911yescharacteristic
1225C2×C22⋊C4C23×C5911yescharacteristic
1226C2×C22⋊C4C23×C5911yescharacteristic
1227C2×C22⋊C4C23×C5911yescharacteristic
1228C2×C22⋊C4C23×C5911yescharacteristic
1229C2×C22⋊C4C23×C5911yescharacteristic
1230C2×C22⋊C4C23×C5911yescharacteristic
1231C2×C22⋊C4C23×C5911yescharacteristic
1232C2×C42—42no—
1233C2×C42C23×C5911yescharacteristic
1234C2×C42C23×C5911yescharacteristic
1235C2×C42C23×C5911yescharacteristic
1236C2×C42C23×C5911yescharacteristic
1237C2×C42C23×C5911yescharacteristic
1238C2×C42C23×C5911yescharacteristic
1239C2×C42C23×C5911yescharacteristic
1240C2×C42C23×C5911yescharacteristic
1241C2×C42C23×C5911yescharacteristic
1242C2×C42C23×C5911yescharacteristic
1243#95C23×C5911yescharacteristic
1244#95C23×C5911yescharacteristic
1245#95C23×C5911yescharacteristic
1246#95C23×C5911yescharacteristic
1247#95C23×C5911yescharacteristic
1248#95C23×C5911yescharacteristic
1249#95C23×C5911yescharacteristic
1250#95C23×C5911yescharacteristic
1251#95C23×C5911yescharacteristic
1252#95C23×C5911yescharacteristic
1253#95C23×C5911yescharacteristic
1254#95C23×C5911yescharacteristic
1255#95C23×C5911yescharacteristic
1256#95C23×C5911yescharacteristic
1257#95C23×C5911yescharacteristic
1258#95C23×C5911yescharacteristic
1259#95C23×C5911yescharacteristic
1260#95C23×C5911yescharacteristic
1261#95C23×C5911yescharacteristic
1262#95C23×C5911yescharacteristic
1263#95C23×C5911yescharacteristic
1264#95C23×C5911yescharacteristic
1265#95C23×C5911yescharacteristic
1266#95C23×C5911yescharacteristic
1267#95C23×C5911yescharacteristic
1268#95C23×C5911yescharacteristic
1269#95C23×C5911yescharacteristic
1270#95C23×C5911yescharacteristic
1271#95C23×C5911yescharacteristic
1272#95C23×C5911yescharacteristic
1273#95C23×C5911yescharacteristic
1274#95C23×C5911yescharacteristic
1275C24—22no—
1276C24—22no—
1277C24—22no—
1278C24—22no—
1279C24—22no—
1280C24—41no—
1281C24—41no—
1282C24—41no—
1283C24—41no—
1284C24—41no—
1285C24—41no—
1286C24—41no—
1287C24—41no—
1288C24C2×D4×C5914yes—
1289C24C24×C5911yescharacteristic
1290C24C24×C5911yescharacteristic
1291C24C24×C5911yescharacteristic
1292C24C24×C5911yescharacteristic
1293C24C24×C5911yescharacteristic
1294C24C24×C5911yescharacteristic
1295C24C24×C5911yescharacteristic
1296C2×Q8—22no—
1297C2×Q8—41no—
1298C2×Q8—41no—
1299C2×D4—232no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—22no—
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4#41×C5914yes—
1344C2×D4#41×C5914yes—
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—22no—
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×C4—41no—
1374C22×C4—41no—
1375C22×C4—41no—
1376C22×C4—41no—
1377C22×C4—41no—
1378C22×C4—41no—
1379C22×C4—41no—
1380C22×C4—41no—
1381C22×C4—41no—
1382C22×C4—41no—
1383C22×C4—41no—
1384C22×C4—41no—
1385C22×C4—41no—
1386C22×C4—41no—
1387C22×C4—41no—
1388C22×C4C2×D4×C5914yes—
1389C22×C4C2×D4×C5914yes—
1390C22×C4C24×C5911yescharacteristic
1391C22×C4C24×C5911yescharacteristic
1392C22×C4C24×C5911yescharacteristic
1393C22×C4C24×C5911yescharacteristic
1394C22×C4C24×C5911yescharacteristic
1395C22×C4C24×C5911yescharacteristic
1396C22×C4C24×C5911yescharacteristic
1397C22×C4C24×C5911yescharacteristic
1398C22×C4C24×C5911yescharacteristic
1399C22×C4C24×C5911yescharacteristic
1400C22×C4C24×C5911yescharacteristic
1401C22×C4C24×C5911yescharacteristic
1402C22×C4C24×C5911yescharacteristic
1403C22×C4C24×C5911yescharacteristic
1404C22×C4C24×C5911yescharacteristic
1405C22×C4C24×C5911yescharacteristic
1406C22×C4C24×C5911yescharacteristic
1407C22×C4C24×C5911yescharacteristic
1408C22×C4C24×C5911yescharacteristic
1409C22×C4C24×C5911yescharacteristic
1410C22×C4C24×C5911yescharacteristic
1411C22×C4C24×C5911yescharacteristic
1412C22×C4C24×C5911yescharacteristic
1413C22×C4C24×C5911yescharacteristic
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—22no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—22no—
1430C4⋊C4—22no—
1431C4⋊C4—22no—
1432C4⋊C4—41no—
1433C4⋊C4—41no—
1434C4⋊C4—41no—
1435C4⋊C4—41no—
1436C4⋊C4—41no—
1437C4⋊C4—41no—
1438C4⋊C4—41no—
1439C4⋊C4—41no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—22no—
1453C22⋊C4—22no—
1454C22⋊C4—22no—
1455C22⋊C4—22no—
1456C22⋊C4—22no—
1457C22⋊C4—22no—
1458C22⋊C4—22no—
1459C22⋊C4—22no—
1460C22⋊C4—22no—
1461C22⋊C4—22no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—22no—
1469C22⋊C4—22no—
1470C22⋊C4—22no—
1471C22⋊C4—22no—
1472C22⋊C4—22no—
1473C22⋊C4—22no—
1474C22⋊C4—41no—
1475C22⋊C4—41no—
1476C22⋊C4—41no—
1477C22⋊C4—41no—
1478C22⋊C4—41no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C22⋊C4—41no—
1489C22⋊C4—41no—
1490C22⋊C4C2×D4×C5914yes—
1491C22⋊C4C2×D4×C5914yes—
1492C22⋊C4C2×D4×C5914yes—
1493C22⋊C4C2×D4×C5914yes—
1494C42—22no—
1495C42—22no—
1496C42—22no—
1497C42—22no—
1498C42—22no—
1499C42—22no—
1500C42—22no—
1501C42—22no—
1502C42—41no—
1503C42—41no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—28no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—28no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—44no—
1549C23—44no—
1550C23—82no—
1551C23—82no—
1552C23—82no—
1553C23—82no—
1554C23—82no—
1555C23—82no—
1556C23—82no—
1557C23—82no—
1558C23—82no—
1559C23—82no—
1560C23C22×D4×C5912yes—
1561C23C22×D4×C5912yes—
1562C23C22×D4×C5912yes—
1563C23C2×#41×C5912yes—
1564C23C2×#41×C5912yes—
1565C23C2×#41×C5912yes—
1566C23C2×#41×C5912yes—
1567C23C25×C5911yescharacteristic
1568Q8—82no—
1569D4—28no—
1570D4—28no—
1571D4—28no—
1572D4—28no—
1573D4—44no—
1574D4—44no—
1575D4—44no—
1576D4—44no—
1577D4—82no—
1578D4—82no—
1579D4—82no—
1580D4—82no—
1581D4—82no—
1582D4—82no—
1583D4—82no—
1584C2×C4—28no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—44no—
1650C2×C4—44no—
1651C2×C4—44no—
1652C2×C4—44no—
1653C2×C4—82no—
1654C2×C4—82no—
1655C2×C4—82no—
1656C2×C4—82no—
1657C2×C4—82no—
1658C2×C4—82no—
1659C2×C4—82no—
1660C2×C4—82no—
1661C2×C4—82no—
1662C2×C4—82no—
1663C2×C4C22×D4×C5912yes—
1664C2×C4C22×D4×C5912yes—
1665C2×C4C22×D4×C5912yes—
1666C2×C4C22×D4×C5912yes—
1667C2×C4C2×#41×C5912yes—
1668C2×C4C2×#41×C5912yes—
1669C2×C4H(5,𝔽2)×C5912yes—
1670C2×C4H(5,𝔽2)×C5912yes—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—22no—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—88no—
1720C22—88no—
1721C22C59×#52514yes—
1722C22C23×D4×C5911yescharacteristic
1723C22C22×#41×C5911yescharacteristic
1724C22C22×#41×C5911yescharacteristic
1725C22C2×H(5,𝔽2)×C5911yescharacteristic
1726C22C2×H(5,𝔽2)×C5911yescharacteristic
1727C22C59×#58511yescharacteristic
1728C22C59×#58511yescharacteristic
1729C4—22no—
1730C4—22no—
1731C4—22no—
1732C4—22no—
1733C4—22no—
1734C4—22no—
1735C4—22no—
1736C4—22no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C2—24no—
1754C2—42no—
1755C2—42no—
1756C2—42no—
1757C2—42no—
1758C2—81no—
1759C2—81no—
1760C2C2×C59×#52511yescharacteristic
1761C2C59×#349611yescharacteristic
1762C2C59×#349611yescharacteristic
1763C2C59×#351311yescharacteristic
1764C2C59×#351411yescharacteristic
1765C2C59×#351911yescharacteristic
1766C2C59×#352111yescharacteristic
subgroupG/H
center, socleC23×C59C25
commutator, Frattini, cosocleC23C25×C59
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C59 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C59×#538C2semidirect
2. C2×C59×#518C2semidirect
3. C59×#2564C2semidirect
4. C59×#2543C2semidirect
5. C59×#2480C2semidirect
6. C59×#2478C2semidirect
7. C59×#2476C2semidirect
8. C59×#2474C2semidirect
9. C59×#2472C2semidirect
10. C59×#2470C2semidirect
11. C59×#2468C2semidirect
12. C59×#2466C2semidirect
13. C59×#2464C2semidirect
14. C59×#2461C2semidirect
15. C59×#2459C2semidirect
16. C59×#2457C2semidirect
17. C59×#2456C2semidirect
18. C59×#2455C2semidirect
19. C59×#2424C2semidirect
20. C59×#2418C2semidirect
21. C59×#2417C2semidirect
22. C59×#2416C2semidirect
23. C59×#2412C2semidirect
24. C59×#2412C2semidirect
25. C59×#2410C2semidirect
26. C59×#2410C2semidirect
27. C59×#2325C2semidirect
28. C59×#2325C2semidirect
29. C4×#121×C59C2semidirect
30. C4×#121×C59C2semidirect
31. C2×C59×#388C2semidirect
35. C2×#126×C59C22semidirect
37. C2×#124×C59C22semidirect
39. C2×#123×C59C22semidirect
40. C2×#123×C59C22semidirect
41. C2×#123×C59C22semidirect
42. C2×C22⋊Q8×C59C22semidirect
43. C2×C22⋊Q8×C59C22semidirect
49. C2×#121×C59C22semidirect
50. C2×#121×C59C22semidirect
51. C2×#121×C59C22semidirect
65. C2×C4×D4×C59C22semidirect
66. C2×C4×D4×C59C22semidirect
67. C2×C4×D4×C59C22semidirect
68. C2×C4×D4×C59C22semidirect
71. C22×C4⋊C4×C59C22semidirect
78. C22×C42×C59C22semidirect
79. C59×#400C22semidirect
80. C59×#399C22semidirect
81. C59×#398C22semidirect
82. C59×#398C22semidirect
83. C59×#398C22semidirect
88. C59×#397C22semidirect
89. C59×#396C22semidirect
90. C59×#396C22semidirect
91. C59×#396C22semidirect
92. C59×#396C22semidirect
93. C59×#395C22semidirect
102. C59×#394C22semidirect
103. C59×#394C22semidirect
104. C59×#394C22semidirect
105. C59×#393C22semidirect
110. C59×#392C22semidirect
111. C59×#391C22semidirect
112. C59×#390C22semidirect
113. C59×#390C22semidirect
114. C59×#390C22semidirect
115. C59×#389C22semidirect
116. C59×#389C22semidirect
117. C59×#389C22semidirect
118. C59×#389C22semidirect
123. C59×#388C22semidirect
124. C59×#388C22semidirect
125. C59×#388C22semidirect
126. C59×#388C22semidirect
127. C59×#388C22semidirect
128. C59×#388C22semidirect
129. C59×#388C22semidirect
130. C59×#388C22semidirect
131. C59×#388C22semidirect
132. C59×#388C22semidirect
133. C59×#388C22semidirect
134. C59×#388C22semidirect
135. C59×#388C22semidirect
136. C59×#388C22semidirect
137. C59×#387C22semidirect
138. C59×#387C22semidirect
139. C59×#387C22semidirect
140. C59×#387C22semidirect
141. C59×#387C22semidirect
142. C59×#387C22semidirect
149. C59×#386C22semidirect
150. C59×#386C22semidirect
151. C59×#386C22semidirect
152. C59×#386C22semidirect
153. C59×#386C22semidirect
154. C59×#386C22semidirect
155. C59×#386C22semidirect
156. C59×#386C22semidirect
157. C59×#386C22semidirect
158. C59×#386C22semidirect
159. C59×#386C22semidirect
160. C59×#386C22semidirect
163. C59×#385C22semidirect
164. C59×#385C22semidirect
165. C59×#385C22semidirect
166. C59×#385C22semidirect
167. C59×#385C22semidirect
168. C59×#385C22semidirect
169. C59×#385C22semidirect
170. C59×#385C22semidirect
171. C59×#381C22semidirect
172. C59×#381C22semidirect
173. C59×#380C22semidirect
174. C59×#380C22semidirect
175. C59×#380C22semidirect
176. C59×#380C22semidirect
177. C59×#380C22semidirect
178. C59×#380C22semidirect
181. C4×C4⋊C4×C59C22semidirect
182. C4×C4⋊C4×C59C22semidirect
183. C4×C22⋊C4×C59C22semidirect
184. C4×C22⋊C4×C59C22semidirect
185. C4×C22⋊C4×C59C22semidirect
186. C4×C22⋊C4×C59C22semidirect
187. C2×#95×C59C22semidirect
188. C2×#95×C59C22semidirect
293. C2×C22⋊C4×C59D4semidirect
787. #35365C59direct (N × H)
870. C2×#538C2×C59semidirect
871. C2×#518C2×C59semidirect
872. #2564C2×C59semidirect
873. #2543C2×C59semidirect
874. #2480C2×C59semidirect
875. #2478C2×C59semidirect
876. #2476C2×C59semidirect
877. #2474C2×C59semidirect
878. #2472C2×C59semidirect
879. #2470C2×C59semidirect
880. #2468C2×C59semidirect
881. #2466C2×C59semidirect
882. #2464C2×C59semidirect
883. #2461C2×C59semidirect
884. #2459C2×C59semidirect
885. #2457C2×C59semidirect
886. #2456C2×C59semidirect
887. #2455C2×C59semidirect
888. #2424C2×C59semidirect
889. #2418C2×C59semidirect
890. #2417C2×C59semidirect
891. #2416C2×C59semidirect
892. #2412C2×C59semidirect
893. #2412C2×C59semidirect
894. #2410C2×C59semidirect
895. #2410C2×C59semidirect
896. #2325C2×C59semidirect
897. #2325C2×C59semidirect
898. C4×#121C2×C59semidirect
899. C4×#121C2×C59semidirect
900. C2×#388C2×C59semidirect
918. C2×#126C22×C59semidirect
920. C2×#124C22×C59semidirect
922. C2×#123C22×C59semidirect
923. C2×#123C22×C59semidirect
924. C2×#123C22×C59semidirect
925. C2×C22⋊Q8C22×C59semidirect
926. C2×C22⋊Q8C22×C59semidirect
932. C2×#121C22×C59semidirect
933. C2×#121C22×C59semidirect
934. C2×#121C22×C59semidirect
948. C2×C4×D4C22×C59semidirect
949. C2×C4×D4C22×C59semidirect
950. C2×C4×D4C22×C59semidirect
951. C2×C4×D4C22×C59semidirect
954. C22×C4⋊C4C22×C59semidirect
961. C22×C42C22×C59semidirect
962. #400C22×C59semidirect
963. #399C22×C59semidirect
964. #398C22×C59semidirect
965. #398C22×C59semidirect
966. #398C22×C59semidirect
971. #397C22×C59semidirect
972. #396C22×C59semidirect
973. #396C22×C59semidirect
974. #396C22×C59semidirect
975. #396C22×C59semidirect
976. #395C22×C59semidirect
985. #394C22×C59semidirect
986. #394C22×C59semidirect
987. #394C22×C59semidirect
988. #393C22×C59semidirect
993. #392C22×C59semidirect
994. #391C22×C59semidirect
995. #390C22×C59semidirect
996. #390C22×C59semidirect
997. #390C22×C59semidirect
998. #389C22×C59semidirect
999. #389C22×C59semidirect
1000. #389C22×C59semidirect
1001. #389C22×C59semidirect
1006. #388C22×C59semidirect
1007. #388C22×C59semidirect
1008. #388C22×C59semidirect
1009. #388C22×C59semidirect
1010. #388C22×C59semidirect
1011. #388C22×C59semidirect
1012. #388C22×C59semidirect
1013. #388C22×C59semidirect
1014. #388C22×C59semidirect
1015. #388C22×C59semidirect
1016. #388C22×C59semidirect
1017. #388C22×C59semidirect
1018. #388C22×C59semidirect
1019. #388C22×C59semidirect
1020. #387C22×C59semidirect
1021. #387C22×C59semidirect
1022. #387C22×C59semidirect
1023. #387C22×C59semidirect
1024. #387C22×C59semidirect
1025. #387C22×C59semidirect
1032. #386C22×C59semidirect
1033. #386C22×C59semidirect
1034. #386C22×C59semidirect
1035. #386C22×C59semidirect
1036. #386C22×C59semidirect
1037. #386C22×C59semidirect
1038. #386C22×C59semidirect
1039. #386C22×C59semidirect
1040. #386C22×C59semidirect
1041. #386C22×C59semidirect
1042. #386C22×C59semidirect
1043. #386C22×C59semidirect
1046. #385C22×C59semidirect
1047. #385C22×C59semidirect
1048. #385C22×C59semidirect
1049. #385C22×C59semidirect
1050. #385C22×C59semidirect
1051. #385C22×C59semidirect
1052. #385C22×C59semidirect
1053. #385C22×C59semidirect
1054. #381C22×C59semidirect
1055. #381C22×C59semidirect
1056. #380C22×C59semidirect
1057. #380C22×C59semidirect
1058. #380C22×C59semidirect
1059. #380C22×C59semidirect
1060. #380C22×C59semidirect
1061. #380C22×C59semidirect
1064. C4×C4⋊C4C22×C59semidirect
1065. C4×C4⋊C4C22×C59semidirect
1066. C4×C22⋊C4C22×C59semidirect
1067. C4×C22⋊C4C22×C59semidirect
1068. C4×C22⋊C4C22×C59semidirect
1069. C4×C22⋊C4C22×C59semidirect
1070. C2×#95C22×C59semidirect
1071. C2×#95C22×C59semidirect
1072. C59#35365direct (N × H)
1177. C2×C22⋊C4D4×C59semidirect

Maximal subgroups

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

subgroupindex
C2×C59×#5382
C2×C59×#5182
C59×#25642
C59×#25432
C59×#24802
C59×#24782
C59×#24762
C59×#24742
C59×#24722
C59×#24702
C59×#24682
C59×#24662
C59×#24642
C59×#24612
C59×#24592
C59×#24572
C59×#24562
C59×#24552
C59×#24242
C59×#24182
C59×#24172
C59×#24162
C59×#24122
C59×#24102
C59×#23252
C4×#121×C592
C2×C59×#3882
#3536559