Finite Group Databasebeta

← C59×#35393 #28447502

Subgroups — C59×#35393 #28447502

Order 15104.

2660 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C59×#539C211yesmaximal, characteristic, complemented
2C2×C59×#525C211yesmaximal, characteristic, complemented
3C59×#2611C211yesmaximal, characteristic, complemented
4C59×#2603C211yesmaximal, characteristic, complemented
5C59×#2602C211yesmaximal, characteristic, complemented
6C59×#2601C211yesmaximal, characteristic, complemented
7C59×#2566C211yesmaximal, characteristic, complemented
8C59×#2564C211yesmaximal, characteristic, complemented
9C59×#2559C211yesmaximal, characteristic, complemented
10C59×#2558C211yesmaximal, characteristic, complemented
11C59×#2556C211yesmaximal, characteristic, complemented
12C59×#2553C211yesmaximal, characteristic, complemented
13C59×#2539C211yesmaximal, characteristic, complemented
14C59×#2534C211yesmaximal, characteristic, complemented
15C59×#2488C211yesmaximal, characteristic, complemented
16C59×#2472C211yesmaximal, characteristic, complemented
17C59×#2464C211yesmaximal, characteristic, complemented
18C59×#2461C211yesmaximal, characteristic, complemented
19C59×#2452C211yesmaximal, characteristic, complemented
20C59×#2440C211yesmaximal, characteristic, complemented
21C59×#2432C211yesmaximal, characteristic, complemented
22C59×#2430C211yesmaximal, characteristic, complemented
23C59×#2425C211yesmaximal, characteristic, complemented
24C59×#2424C211yesmaximal, characteristic, complemented
25C59×#2422C211yesmaximal, characteristic, complemented
26C59×#2416C211yesmaximal, characteristic, complemented
27C59×#2325C211yesmaximal, characteristic, complemented
28C59×#2322C211yesmaximal, characteristic, complemented
29C4×#120×C59C211yesmaximal, characteristic, complemented
30C2×C59×#385C211yesmaximal, characteristic, complemented
31C59×#2275C211yesmaximal, characteristic, complemented
32C22×#41×C59C2211yescharacteristic
33C24×C4×C59C2211yescharacteristic
34C59×#539—28no—
35C2×C4⋊Q8×C59C2211yescharacteristic, complemented
36C2×#126×C59C2211yescharacteristic, complemented
37C2×#126×C59C2211yescharacteristic, complemented
38C2×#125×C59C2211yescharacteristic, complemented
39C2×#125×C59C2211yescharacteristic, complemented
40C2×#124×C59C2211yescharacteristic
41C59×#525—28no—
42C2×#123×C59C2211yescharacteristic
43C2×#123×C59C2211yescharacteristic
44C2×#123×C59C2211yescharacteristic
45C2×#123×C59C2211yescharacteristic
46C2×#123×C59C2211yescharacteristic
47C2×#123×C59C2211yescharacteristic, complemented
48C2×#123×C59C2211yescharacteristic, complemented
49C2×C22⋊Q8×C59C2211yescharacteristic
50C2×C22⋊Q8×C59C2211yescharacteristic
51C2×C22⋊Q8×C59C2211yescharacteristic
52C2×C22⋊Q8×C59C2211yescharacteristic, complemented
53C2×C22⋊Q8×C59C2211yescharacteristic, complemented
54C2×#121×C59C2211yescharacteristic
55C2×#121×C59C2211yescharacteristic
56C2×#121×C59C2211yescharacteristic
57C2×#121×C59C2211yescharacteristic
58C2×#121×C59C2211yescharacteristic
59C2×#121×C59C2211yescharacteristic, complemented
60C2×#120×C59C2211yescharacteristic
61C2×#120×C59C2211yescharacteristic
62C2×#120×C59C2211yescharacteristic
63C2×C4×D4×C59C2211yescharacteristic
64C2×C4×D4×C59C2211yescharacteristic
65C2×C4×D4×C59C2211yescharacteristic
66C2×C4×D4×C59C2211yescharacteristic
67C2×C4×D4×C59C2211yescharacteristic
68C2×C4×D4×C59C2211yescharacteristic
69C2×C4×D4×C59C2211yescharacteristic
70C2×C4×D4×C59C2211yescharacteristic
71C2×C4×D4×C59C2211yescharacteristic
72C2×#117×C59C2211yescharacteristic
73C22×C4⋊C4×C59C2211yescharacteristic
74C22×C4⋊C4×C59C2211yescharacteristic
75C22×C22⋊C4×C59C2211yescharacteristic
76C22×C22⋊C4×C59C2211yescharacteristic
77C59×#400C2211yescharacteristic, complemented
78C59×#400C2211yescharacteristic, complemented
79C59×#399C2211yescharacteristic
80C59×#399C2211yescharacteristic
81C59×#398C2211yescharacteristic, complemented
82C59×#398C2211yescharacteristic, complemented
83C59×#398C2211yescharacteristic, complemented
84C59×#397C2211yescharacteristic
85C59×#397C2211yescharacteristic, complemented
86C59×#397C2211yescharacteristic, complemented
87C59×#396C2211yescharacteristic
88C59×#396C2211yescharacteristic
89C59×#396C2211yescharacteristic
90C59×#396C2211yescharacteristic, complemented
91C59×#396C2211yescharacteristic, complemented
92C59×#396C2211yescharacteristic, complemented
93C59×#395C2211yescharacteristic, complemented
94C59×#395C2211yescharacteristic, complemented
95C59×#394C2211yescharacteristic
96C59×#394C2211yescharacteristic
97C59×#394C2211yescharacteristic
98C59×#394C2211yescharacteristic
99C59×#394C2211yescharacteristic
100C59×#394C2211yescharacteristic
101C59×#394C2211yescharacteristic, complemented
102C59×#394C2211yescharacteristic, complemented
103C59×#394C2211yescharacteristic, complemented
104C59×#393C2211yescharacteristic
105C59×#393C2211yescharacteristic, complemented
106C59×#392C2211yescharacteristic
107C59×#392C2211yescharacteristic
108C59×#392C2211yescharacteristic
109C59×#391C2211yescharacteristic, complemented
110C59×#390C2211yescharacteristic
111C59×#390C2211yescharacteristic
112C59×#390C2211yescharacteristic
113C59×#390C2211yescharacteristic
114C59×#390C2211yescharacteristic
115C59×#390C2211yescharacteristic
116C59×#390C2211yescharacteristic, complemented
117C59×#389C2211yescharacteristic, complemented
118C59×#389C2211yescharacteristic, complemented
119C59×#389C2211yescharacteristic, complemented
120C59×#389C2211yescharacteristic, complemented
121C59×#389C2211yescharacteristic, complemented
122C59×#389C2211yescharacteristic, complemented
123C59×#388C2211yescharacteristic
124C59×#388C2211yescharacteristic
125C59×#388C2211yescharacteristic
126C59×#388C2211yescharacteristic
127C59×#388C2211yescharacteristic
128C59×#388C2211yescharacteristic, complemented
129C59×#388C2211yescharacteristic, complemented
130C59×#388C2211yescharacteristic, complemented
131C59×#388C2211yescharacteristic, complemented
132C59×#388C2211yescharacteristic, complemented
133C59×#388C2211yescharacteristic, complemented
134C59×#388C2211yescharacteristic, complemented
135C59×#387C2211yescharacteristic, complemented
136C59×#387C2211yescharacteristic, complemented
137C59×#387C2211yescharacteristic, complemented
138C59×#387C2211yescharacteristic, complemented
139C59×#386C2211yescharacteristic
140C59×#386C2211yescharacteristic
141C59×#386C2211yescharacteristic
142C59×#386C2211yescharacteristic
143C59×#386C2211yescharacteristic
144C59×#386C2211yescharacteristic
145C59×#386C2211yescharacteristic
146C59×#386C2211yescharacteristic
147C59×#386C2211yescharacteristic
148C59×#386C2211yescharacteristic, complemented
149C59×#386C2211yescharacteristic, complemented
150C59×#386C2211yescharacteristic, complemented
151C59×#385C2211yescharacteristic
152C59×#385C2211yescharacteristic
153C59×#385C2211yescharacteristic
154C59×#385C2211yescharacteristic
155C59×#385C2211yescharacteristic
156C59×#385C2211yescharacteristic
157C59×#385C2211yescharacteristic
158C59×#385C2211yescharacteristic
159C59×#385C2211yescharacteristic
160C59×#385C2211yescharacteristic
161C59×#385C2211yescharacteristic
162C59×#385C2211yescharacteristic
163C59×#385C2211yescharacteristic, complemented
164C59×#385C2211yescharacteristic, complemented
165C59×#385C2211yescharacteristic, complemented
166C59×#385C2211yescharacteristic, complemented
167C59×#384C2211yescharacteristic, complemented
168C59×#382C2211yescharacteristic, complemented
169C59×#381C2211yescharacteristic
170C59×#380C2211yescharacteristic
171C59×#380C2211yescharacteristic, complemented
172C59×#380C2211yescharacteristic, complemented
173C59×#379C2211yescharacteristic
174C4×C4⋊C4×C59C2211yescharacteristic, complemented
175C4×C4⋊C4×C59C2211yescharacteristic, complemented
176C4×C4⋊C4×C59C2211yescharacteristic, complemented
177C4×C22⋊C4×C59C2211yescharacteristic
178C4×C22⋊C4×C59C2211yescharacteristic
179C4×C22⋊C4×C59C2211yescharacteristic
180C4×C22⋊C4×C59C2211yescharacteristic
181C4×C22⋊C4×C59C2211yescharacteristic
182C4×C22⋊C4×C59C2211yescharacteristic, complemented
183C4×C22⋊C4×C59C2211yescharacteristic, complemented
184C4×C22⋊C4×C59C2211yescharacteristic, complemented
185C59×#376C2211yescharacteristic, complemented
186C2×#95×C59C2211yescharacteristic
187C2×#95×C59C2211yescharacteristic
188C2×#95×C59C2211yescharacteristic, complemented
189C25×C59C2311yescharacteristic
190C2×#41×C59—24no—
191C2×#41×C59—42no—
192C2×#41×C59—42no—
193C22×Q8×C59C2311yescharacteristic
194C22×Q8×C59C2311yescharacteristic
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
207C23×C4×C59—24no—
208C23×C4×C59—42no—
209C23×C4×C59—42no—
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
225C4⋊Q8×C59—42no—
226#126×C59—24no—
227#126×C59—24no—
228#125×C59—24no—
229#125×C59—24no—
230#124×C59—42no—
231#123×C59—24no—
232#123×C59—24no—
233#123×C59—24no—
234#123×C59—24no—
235#123×C59—24no—
236#123×C59—24no—
237#123×C59—24no—
238C22⋊Q8×C59—24no—
239C22⋊Q8×C59—24no—
240C22⋊Q8×C59—24no—
241C22⋊Q8×C59—24no—
242C22⋊Q8×C59—24no—
243#121×C59—24no—
244#121×C59—24no—
245#121×C59—24no—
246#121×C59—24no—
247#121×C59—42no—
248#121×C59—42no—
249#120×C59—24no—
250#120×C59—24no—
251#120×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—24no—
258C4×D4×C59—42no—
259C4×D4×C59—42no—
260C4×D4×C59D418yescomplemented
261#117×C59—24no—
262C2×C4⋊C4×C59—24no—
263C2×C4⋊C4×C59—42no—
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×C4⋊C4×C59C2311yescharacteristic
289C2×C4⋊C4×C59C2311yescharacteristic
290C2×C4⋊C4×C59C2311yescharacteristic
291C2×C4⋊C4×C59C2311yescharacteristic
292C2×C4⋊C4×C59C2311yescharacteristic
293C2×C4⋊C4×C59C2311yescharacteristic
294C2×C4⋊C4×C59C2311yescharacteristic
295C2×C4⋊C4×C59C2311yescharacteristic
296C2×C4⋊C4×C59C2311yescharacteristic
297C2×C4⋊C4×C59C2311yescharacteristic
298C2×C22⋊C4×C59—24no—
299C2×C22⋊C4×C59—42no—
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×C59C2311yescharacteristic
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×C59C2411yescharacteristic
399C24×C59C2411yescharacteristic
400C24×C59C2411yescharacteristic
401C24×C59C2411yescharacteristic
402C24×C59C2411yescharacteristic
403C24×C59C2411yescharacteristic
404#41×C59—416no—
405C2×Q8×C59—22no—
406C2×Q8×C59—22no—
407C2×Q8×C59—22no—
408C2×Q8×C59—41no—
409C2×Q8×C59—41no—
410C2×Q8×C59—41no—
411C2×D4×C59—22no—
412C2×D4×C59—22no—
413C2×D4×C59—22no—
414C2×D4×C59—22no—
415C2×D4×C59—22no—
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—41no—
436C2×D4×C59—41no—
437C2×D4×C59—41no—
438C2×D4×C59—41no—
439C2×D4×C59—41no—
440C2×D4×C59—41no—
441C2×D4×C59—41no—
442C2×D4×C59—41no—
443C2×D4×C59—41no—
444C2×D4×C59—41no—
445C2×D4×C59—41no—
446C2×D4×C59C2×D414yes—
447C22×C4×C59—22no—
448C22×C4×C59—22no—
449C22×C4×C59—22no—
450C22×C4×C59—22no—
451C22×C4×C59—22no—
452C22×C4×C59—22no—
453C22×C4×C59—22no—
454C22×C4×C59—22no—
455C22×C4×C59—22no—
456C22×C4×C59—22no—
457C22×C4×C59—22no—
458C22×C4×C59—22no—
459C22×C4×C59—22no—
460C22×C4×C59—22no—
461C22×C4×C59—22no—
462C22×C4×C59—22no—
463C22×C4×C59—22no—
464C22×C4×C59—22no—
465C22×C4×C59—22no—
466C22×C4×C59—41no—
467C22×C4×C59—41no—
468C22×C4×C59—41no—
469C22×C4×C59—41no—
470C22×C4×C59—41no—
471C22×C4×C59—41no—
472C22×C4×C59—41no—
473C22×C4×C59—41no—
474C22×C4×C59—41no—
475C22×C4×C59—41no—
476C22×C4×C59—41no—
477C22×C4×C59—41no—
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—416no—
490C22×C4×C59C2×D414yes—
491C22×C4×C59C2×D414yes—
492C22×C4×C59#4114yescomplemented
493C22×C4×C59C2411yescharacteristic
494C22×C4×C59C2411yescharacteristic
495C22×C4×C59C2411yescharacteristic
496C22×C4×C59C2411yescharacteristic
497C22×C4×C59C2411yescharacteristic
498C22×C4×C59C2411yescharacteristic
499C22×C4×C59C2411yescharacteristic
500C22×C4×C59C2411yescharacteristic
501C22×C4×C59C2411yescharacteristic
502C22×C4×C59C2411yescharacteristic
503C22×C4×C59C2411yescharacteristic
504C22×C4×C59C2411yescharacteristic
505C22×C4×C59C2411yescharacteristic
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
518C4⋊C4×C59—22no—
519C4⋊C4×C59—22no—
520C4⋊C4×C59—22no—
521C4⋊C4×C59—22no—
522C4⋊C4×C59—22no—
523C4⋊C4×C59—22no—
524C4⋊C4×C59—22no—
525C4⋊C4×C59—22no—
526C4⋊C4×C59—22no—
527C4⋊C4×C59—22no—
528C4⋊C4×C59—22no—
529C4⋊C4×C59—22no—
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—41no—
545C4⋊C4×C59—41no—
546C4⋊C4×C59—41no—
547C4⋊C4×C59—41no—
548C4⋊C4×C59—41no—
549C4⋊C4×C59—41no—
550C4⋊C4×C59—41no—
551C4⋊C4×C59C2×D414yes—
552C22⋊C4×C59—22no—
553C22⋊C4×C59—22no—
554C22⋊C4×C59—22no—
555C22⋊C4×C59—22no—
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—41no—
587C22⋊C4×C59—41no—
588C22⋊C4×C59—41no—
589C22⋊C4×C59—41no—
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×C59C2×D414yes—
598C22⋊C4×C59C2×D414yes—
599C22⋊C4×C59#4114yescomplemented
600C42×C59—22no—
601C42×C59—22no—
602C42×C59—22no—
603C42×C59—22no—
604C42×C59—41no—
605C42×C59—41no—
606C42×C59—41no—
607C42×C59—41no—
608C42×C59—41no—
609C42×C59—41no—
610C42×C59C2×D414yes—
611C23×C59—21no—
612C23×C59—21no—
613C23×C59—21no—
614C23×C59—21no—
615C23×C59—28no—
616C23×C59—21no—
617C23×C59—21no—
618C23×C59—21no—
619C23×C59—21no—
620C23×C59—21no—
621C23×C59—21no—
622C23×C59—21no—
623C23×C59—21no—
624C23×C59—21no—
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—44no—
649C23×C59—44no—
650C23×C59—44no—
651C23×C59—44no—
652C23×C59—44no—
653C23×C59—44no—
654C23×C59C22×D412yes—
655C23×C59C22×D412yes—
656C23×C59C2×#4112yes—
657C23×C59C2×#4112yes—
658C23×C59H(5,𝔽2)12yes—
659C23×C592−1+412yes—
660C23×C59C2511yescharacteristic
661Q8×C59—44no—
662Q8×C59—82no—
663D4×C59—28no—
664D4×C59—44no—
665D4×C59—44no—
666D4×C59—44no—
667D4×C59—44no—
668D4×C59—44no—
669D4×C59—44no—
670D4×C59—44no—
671D4×C59—44no—
672D4×C59—44no—
673D4×C59—82no—
674D4×C59—82no—
675C2×C4×C59—28no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—21no—
679C2×C4×C59—21no—
680C2×C4×C59—21no—
681C2×C4×C59—21no—
682C2×C4×C59—21no—
683C2×C4×C59—21no—
684C2×C4×C59—21no—
685C2×C4×C59—21no—
686C2×C4×C59—21no—
687C2×C4×C59—21no—
688C2×C4×C59—21no—
689C2×C4×C59—21no—
690C2×C4×C59—21no—
691C2×C4×C59—21no—
692C2×C4×C59—21no—
693C2×C4×C59—21no—
694C2×C4×C59—21no—
695C2×C4×C59—21no—
696C2×C4×C59—21no—
697C2×C4×C59—21no—
698C2×C4×C59—21no—
699C2×C4×C59—21no—
700C2×C4×C59—21no—
701C2×C4×C59—21no—
702C2×C4×C59—21no—
703C2×C4×C59—21no—
704C2×C4×C59—21no—
705C2×C4×C59—21no—
706C2×C4×C59—21no—
707C2×C4×C59—21no—
708C2×C4×C59—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—44no—
742C2×C4×C59—44no—
743C2×C4×C59—44no—
744C2×C4×C59—44no—
745C2×C4×C59—44no—
746C2×C4×C59—44no—
747C2×C4×C59—44no—
748C2×C4×C59—44no—
749C2×C4×C59—44no—
750C2×C4×C59—82no—
751C2×C4×C59—82no—
752C2×C4×C59—82no—
753C2×C4×C59—82no—
754C2×C4×C59—82no—
755C2×C4×C59C22×D412yes—
756C2×C4×C59C22×D412yes—
757C2×C4×C59C22×D412yes—
758C2×C4×C59C22×D412yes—
759C2×C4×C59C22×D412yes—
760C2×C4×C59C2×#4112yes—
761C2×C4×C59C2×#4112yes—
762C2×C4×C59C2×#4112yes—
763C2×C4×C59C2×#4112yes—
764C2×C4×C59H(5,𝔽2)12yes—
765#35393C5911yesmaximal, characteristic, direct product factor, Sylow
766C22×C59—22no—
767C22×C59—22no—
768C22×C59—22no—
769C22×C59—22no—
770C22×C59—22no—
771C22×C59—22no—
772C22×C59—22no—
773C22×C59—22no—
774C22×C59—22no—
775C22×C59—22no—
776C22×C59—22no—
777C22×C59—22no—
778C22×C59—22no—
779C22×C59—22no—
780C22×C59—22no—
781C22×C59—416no—
782C22×C59—41no—
783C22×C59—41no—
784C22×C59—41no—
785C22×C59—41no—
786C22×C59—41no—
787C22×C59—41no—
788C22×C59—41no—
789C22×C59—41no—
790C22×C59—41no—
791C22×C59—41no—
792C22×C59—41no—
793C22×C59—41no—
794C22×C59—41no—
795C22×C59—41no—
796C22×C59—41no—
797C22×C59—41no—
798C22×C59—41no—
799C22×C59—41no—
800C22×C59—41no—
801C22×C59—41no—
802C22×C59—41no—
803C22×C59—41no—
804C22×C59—41no—
805C22×C59—41no—
806C22×C59—41no—
807C22×C59—41no—
808C22×C59#53214yes—
809C22×C59C23×D411yescharacteristic
810C22×C59C22×#4111yescharacteristic
811C22×C59C22×#4111yescharacteristic
812C22×C59C2×H(5,𝔽2)11yescharacteristic
813C22×C59C2×H(5,𝔽2)11yescharacteristic
814C22×C59C2×2−1+411yescharacteristic
815C22×C59#58511yescharacteristic
816C4×C59—22no—
817C4×C59—22no—
818C4×C59—22no—
819C4×C59—22no—
820C4×C59—22no—
821C4×C59—22no—
822C4×C59—22no—
823C4×C59—22no—
824C4×C59—22no—
825C4×C59—22no—
826C4×C59—41no—
827C4×C59—41no—
828C4×C59—41no—
829C4×C59—41no—
830C4×C59—41no—
831C4×C59—41no—
832C4×C59—41no—
833C4×C59—41no—
834C4×C59—41no—
835C4×C59—41no—
836C4×C59—41no—
837C4×C59—41no—
838C4×C59—41no—
839C4×C59—41no—
840C4×C59—41no—
841C2×#539C2×C5911yescharacteristic, complemented
842C2×#525C2×C5911yescharacteristic, complemented
843#2611C2×C5911yescharacteristic, complemented
844#2603C2×C5911yescharacteristic, complemented
845#2602C2×C5911yescharacteristic, complemented
846#2601C2×C5911yescharacteristic, complemented
847#2566C2×C5911yescharacteristic, complemented
848#2564C2×C5911yescharacteristic, complemented
849#2559C2×C5911yescharacteristic, complemented
850#2558C2×C5911yescharacteristic, complemented
851#2556C2×C5911yescharacteristic, complemented
852#2553C2×C5911yescharacteristic, complemented
853#2539C2×C5911yescharacteristic, complemented
854#2534C2×C5911yescharacteristic, complemented
855#2488C2×C5911yescharacteristic, complemented
856#2472C2×C5911yescharacteristic, complemented
857#2464C2×C5911yescharacteristic, complemented
858#2461C2×C5911yescharacteristic, complemented
859#2452C2×C5911yescharacteristic, complemented
860#2440C2×C5911yescharacteristic, complemented
861#2432C2×C5911yescharacteristic, complemented
862#2430C2×C5911yescharacteristic, complemented
863#2425C2×C5911yescharacteristic, complemented
864#2424C2×C5911yescharacteristic, complemented
865#2422C2×C5911yescharacteristic, complemented
866#2416C2×C5911yescharacteristic, complemented
867#2325C2×C5911yescharacteristic, complemented
868#2322C2×C5911yescharacteristic, complemented
869C4×#120C2×C5911yescharacteristic, complemented
870C2×#385C2×C5911yescharacteristic, complemented
871#2275C2×C5911yescharacteristic, complemented
872C2×C59—24no—
873C2×C59—42no—
874C2×C59—42no—
875C2×C59—42no—
876C2×C59—81no—
877C2×C59—81no—
878C2×C59C2×#53211yescharacteristic
879C2×C59#348411yescharacteristic
880C2×C59#348911yescharacteristic
881C2×C59#349211yescharacteristic
882C2×C59#350511yescharacteristic
883C2×C59#351311yescharacteristic
884C2×C59#352011yescharacteristic
885C22×#41C22×C5911yescharacteristic
886C24×C4C22×C5911yescharacteristic
887#539—28no—
888C2×C4⋊Q8C22×C5911yescharacteristic, complemented
889C2×#126C22×C5911yescharacteristic, complemented
890C2×#126C22×C5911yescharacteristic, complemented
891C2×#125C22×C5911yescharacteristic, complemented
892C2×#125C22×C5911yescharacteristic, complemented
893C2×#124C22×C5911yescharacteristic
894#525—28no—
895C2×#123C22×C5911yescharacteristic
896C2×#123C22×C5911yescharacteristic
897C2×#123C22×C5911yescharacteristic
898C2×#123C22×C5911yescharacteristic
899C2×#123C22×C5911yescharacteristic
900C2×#123C22×C5911yescharacteristic, complemented
901C2×#123C22×C5911yescharacteristic, complemented
902C2×C22⋊Q8C22×C5911yescharacteristic
903C2×C22⋊Q8C22×C5911yescharacteristic
904C2×C22⋊Q8C22×C5911yescharacteristic
905C2×C22⋊Q8C22×C5911yescharacteristic, complemented
906C2×C22⋊Q8C22×C5911yescharacteristic, complemented
907C2×#121C22×C5911yescharacteristic
908C2×#121C22×C5911yescharacteristic
909C2×#121C22×C5911yescharacteristic
910C2×#121C22×C5911yescharacteristic
911C2×#121C22×C5911yescharacteristic
912C2×#121C22×C5911yescharacteristic, complemented
913C2×#120C22×C5911yescharacteristic
914C2×#120C22×C5911yescharacteristic
915C2×#120C22×C5911yescharacteristic
916C2×C4×D4C22×C5911yescharacteristic
917C2×C4×D4C22×C5911yescharacteristic
918C2×C4×D4C22×C5911yescharacteristic
919C2×C4×D4C22×C5911yescharacteristic
920C2×C4×D4C22×C5911yescharacteristic
921C2×C4×D4C22×C5911yescharacteristic
922C2×C4×D4C22×C5911yescharacteristic
923C2×C4×D4C22×C5911yescharacteristic
924C2×C4×D4C22×C5911yescharacteristic
925C2×#117C22×C5911yescharacteristic
926C22×C4⋊C4C22×C5911yescharacteristic
927C22×C4⋊C4C22×C5911yescharacteristic
928C22×C22⋊C4C22×C5911yescharacteristic
929C22×C22⋊C4C22×C5911yescharacteristic
930#400C22×C5911yescharacteristic, complemented
931#400C22×C5911yescharacteristic, complemented
932#399C22×C5911yescharacteristic
933#399C22×C5911yescharacteristic
934#398C22×C5911yescharacteristic, complemented
935#398C22×C5911yescharacteristic, complemented
936#398C22×C5911yescharacteristic, complemented
937#397C22×C5911yescharacteristic
938#397C22×C5911yescharacteristic, complemented
939#397C22×C5911yescharacteristic, complemented
940#396C22×C5911yescharacteristic
941#396C22×C5911yescharacteristic
942#396C22×C5911yescharacteristic
943#396C22×C5911yescharacteristic, complemented
944#396C22×C5911yescharacteristic, complemented
945#396C22×C5911yescharacteristic, complemented
946#395C22×C5911yescharacteristic, complemented
947#395C22×C5911yescharacteristic, complemented
948#394C22×C5911yescharacteristic
949#394C22×C5911yescharacteristic
950#394C22×C5911yescharacteristic
951#394C22×C5911yescharacteristic
952#394C22×C5911yescharacteristic
953#394C22×C5911yescharacteristic
954#394C22×C5911yescharacteristic, complemented
955#394C22×C5911yescharacteristic, complemented
956#394C22×C5911yescharacteristic, complemented
957#393C22×C5911yescharacteristic
958#393C22×C5911yescharacteristic, complemented
959#392C22×C5911yescharacteristic
960#392C22×C5911yescharacteristic
961#392C22×C5911yescharacteristic
962#391C22×C5911yescharacteristic, complemented
963#390C22×C5911yescharacteristic
964#390C22×C5911yescharacteristic
965#390C22×C5911yescharacteristic
966#390C22×C5911yescharacteristic
967#390C22×C5911yescharacteristic
968#390C22×C5911yescharacteristic
969#390C22×C5911yescharacteristic, complemented
970#389C22×C5911yescharacteristic, complemented
971#389C22×C5911yescharacteristic, complemented
972#389C22×C5911yescharacteristic, complemented
973#389C22×C5911yescharacteristic, complemented
974#389C22×C5911yescharacteristic, complemented
975#389C22×C5911yescharacteristic, complemented
976#388C22×C5911yescharacteristic
977#388C22×C5911yescharacteristic
978#388C22×C5911yescharacteristic
979#388C22×C5911yescharacteristic
980#388C22×C5911yescharacteristic
981#388C22×C5911yescharacteristic, complemented
982#388C22×C5911yescharacteristic, complemented
983#388C22×C5911yescharacteristic, complemented
984#388C22×C5911yescharacteristic, complemented
985#388C22×C5911yescharacteristic, complemented
986#388C22×C5911yescharacteristic, complemented
987#388C22×C5911yescharacteristic, complemented
988#387C22×C5911yescharacteristic, complemented
989#387C22×C5911yescharacteristic, complemented
990#387C22×C5911yescharacteristic, complemented
991#387C22×C5911yescharacteristic, complemented
992#386C22×C5911yescharacteristic
993#386C22×C5911yescharacteristic
994#386C22×C5911yescharacteristic
995#386C22×C5911yescharacteristic
996#386C22×C5911yescharacteristic
997#386C22×C5911yescharacteristic
998#386C22×C5911yescharacteristic
999#386C22×C5911yescharacteristic
1000#386C22×C5911yescharacteristic
1001#386C22×C5911yescharacteristic, complemented
1002#386C22×C5911yescharacteristic, complemented
1003#386C22×C5911yescharacteristic, complemented
1004#385C22×C5911yescharacteristic
1005#385C22×C5911yescharacteristic
1006#385C22×C5911yescharacteristic
1007#385C22×C5911yescharacteristic
1008#385C22×C5911yescharacteristic
1009#385C22×C5911yescharacteristic
1010#385C22×C5911yescharacteristic
1011#385C22×C5911yescharacteristic
1012#385C22×C5911yescharacteristic
1013#385C22×C5911yescharacteristic
1014#385C22×C5911yescharacteristic
1015#385C22×C5911yescharacteristic
1016#385C22×C5911yescharacteristic, complemented
1017#385C22×C5911yescharacteristic, complemented
1018#385C22×C5911yescharacteristic, complemented
1019#385C22×C5911yescharacteristic, complemented
1020#384C22×C5911yescharacteristic, complemented
1021#382C22×C5911yescharacteristic, complemented
1022#381C22×C5911yescharacteristic
1023#380C22×C5911yescharacteristic
1024#380C22×C5911yescharacteristic, complemented
1025#380C22×C5911yescharacteristic, complemented
1026#379C22×C5911yescharacteristic
1027C4×C4⋊C4C22×C5911yescharacteristic, complemented
1028C4×C4⋊C4C22×C5911yescharacteristic, complemented
1029C4×C4⋊C4C22×C5911yescharacteristic, complemented
1030C4×C22⋊C4C22×C5911yescharacteristic
1031C4×C22⋊C4C22×C5911yescharacteristic
1032C4×C22⋊C4C22×C5911yescharacteristic
1033C4×C22⋊C4C22×C5911yescharacteristic
1034C4×C22⋊C4C22×C5911yescharacteristic
1035C4×C22⋊C4C22×C5911yescharacteristic, complemented
1036C4×C22⋊C4C22×C5911yescharacteristic, complemented
1037C4×C22⋊C4C22×C5911yescharacteristic, complemented
1038#376C22×C5911yescharacteristic, complemented
1039C2×#95C22×C5911yescharacteristic
1040C2×#95C22×C5911yescharacteristic
1041C2×#95C22×C5911yescharacteristic, complemented
1042C59#3539311yescharacteristic, direct product factor, Sylow
1043C25C23×C5911yescharacteristic
1044C2×#41—24no—
1045C2×#41—42no—
1046C2×#41—42no—
1047C22×Q8C23×C5911yescharacteristic
1048C22×Q8C23×C5911yescharacteristic
1049C22×D4C23×C5911yescharacteristic
1050C22×D4C23×C5911yescharacteristic
1051C22×D4C23×C5911yescharacteristic
1052C22×D4C23×C5911yescharacteristic
1053C22×D4C23×C5911yescharacteristic
1054C22×D4C23×C5911yescharacteristic
1055C22×D4C23×C5911yescharacteristic
1056C22×D4C23×C5911yescharacteristic
1057C22×D4C23×C5911yescharacteristic
1058C22×D4C23×C5911yescharacteristic
1059C22×D4C23×C5911yescharacteristic
1060C22×D4C23×C5911yescharacteristic
1061C23×C4—24no—
1062C23×C4—42no—
1063C23×C4—42no—
1064C23×C4C23×C5911yescharacteristic
1065C23×C4C23×C5911yescharacteristic
1066C23×C4C23×C5911yescharacteristic
1067C23×C4C23×C5911yescharacteristic
1068C23×C4C23×C5911yescharacteristic
1069C23×C4C23×C5911yescharacteristic
1070C23×C4C23×C5911yescharacteristic
1071C23×C4C23×C5911yescharacteristic
1072C23×C4C23×C5911yescharacteristic
1073C23×C4C23×C5911yescharacteristic
1074C23×C4C23×C5911yescharacteristic
1075C23×C4C23×C5911yescharacteristic
1076C23×C4C23×C5911yescharacteristic
1077C23×C4C23×C5911yescharacteristic
1078C23×C4C23×C5911yescharacteristic
1079C4⋊Q8—42no—
1080#126—24no—
1081#126—24no—
1082#125—24no—
1083#125—24no—
1084#124—42no—
1085#123—24no—
1086#123—24no—
1087#123—24no—
1088#123—24no—
1089#123—24no—
1090#123—24no—
1091#123—24no—
1092C22⋊Q8—24no—
1093C22⋊Q8—24no—
1094C22⋊Q8—24no—
1095C22⋊Q8—24no—
1096C22⋊Q8—24no—
1097#121—24no—
1098#121—24no—
1099#121—24no—
1100#121—24no—
1101#121—42no—
1102#121—42no—
1103#120—24no—
1104#120—24no—
1105#120—24no—
1106C4×D4—24no—
1107C4×D4—24no—
1108C4×D4—24no—
1109C4×D4—24no—
1110C4×D4—24no—
1111C4×D4—24no—
1112C4×D4—42no—
1113C4×D4—42no—
1114C4×D4D4×C5918yescomplemented
1115#117—24no—
1116C2×C4⋊C4—24no—
1117C2×C4⋊C4—42no—
1118C2×C4⋊C4C23×C5911yescharacteristic
1119C2×C4⋊C4C23×C5911yescharacteristic
1120C2×C4⋊C4C23×C5911yescharacteristic
1121C2×C4⋊C4C23×C5911yescharacteristic
1122C2×C4⋊C4C23×C5911yescharacteristic
1123C2×C4⋊C4C23×C5911yescharacteristic
1124C2×C4⋊C4C23×C5911yescharacteristic
1125C2×C4⋊C4C23×C5911yescharacteristic
1126C2×C4⋊C4C23×C5911yescharacteristic
1127C2×C4⋊C4C23×C5911yescharacteristic
1128C2×C4⋊C4C23×C5911yescharacteristic
1129C2×C4⋊C4C23×C5911yescharacteristic
1130C2×C4⋊C4C23×C5911yescharacteristic
1131C2×C4⋊C4C23×C5911yescharacteristic
1132C2×C4⋊C4C23×C5911yescharacteristic
1133C2×C4⋊C4C23×C5911yescharacteristic
1134C2×C4⋊C4C23×C5911yescharacteristic
1135C2×C4⋊C4C23×C5911yescharacteristic
1136C2×C4⋊C4C23×C5911yescharacteristic
1137C2×C4⋊C4C23×C5911yescharacteristic
1138C2×C4⋊C4C23×C5911yescharacteristic
1139C2×C4⋊C4C23×C5911yescharacteristic
1140C2×C4⋊C4C23×C5911yescharacteristic
1141C2×C4⋊C4C23×C5911yescharacteristic
1142C2×C4⋊C4C23×C5911yescharacteristic
1143C2×C4⋊C4C23×C5911yescharacteristic
1144C2×C4⋊C4C23×C5911yescharacteristic
1145C2×C4⋊C4C23×C5911yescharacteristic
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×C22⋊C4—24no—
1153C2×C22⋊C4—42no—
1154C2×C22⋊C4C23×C5911yescharacteristic
1155C2×C22⋊C4C23×C5911yescharacteristic
1156C2×C22⋊C4C23×C5911yescharacteristic
1157C2×C22⋊C4C23×C5911yescharacteristic
1158C2×C22⋊C4C23×C5911yescharacteristic
1159C2×C22⋊C4C23×C5911yescharacteristic
1160C2×C22⋊C4C23×C5911yescharacteristic
1161C2×C22⋊C4C23×C5911yescharacteristic
1162C2×C22⋊C4C23×C5911yescharacteristic
1163C2×C22⋊C4C23×C5911yescharacteristic
1164C2×C22⋊C4C23×C5911yescharacteristic
1165C2×C22⋊C4C23×C5911yescharacteristic
1166C2×C22⋊C4C23×C5911yescharacteristic
1167C2×C22⋊C4C23×C5911yescharacteristic
1168C2×C22⋊C4C23×C5911yescharacteristic
1169C2×C22⋊C4C23×C5911yescharacteristic
1170C2×C22⋊C4C23×C5911yescharacteristic
1171C2×C22⋊C4C23×C5911yescharacteristic
1172C2×C22⋊C4C23×C5911yescharacteristic
1173C2×C22⋊C4C23×C5911yescharacteristic
1174C2×C22⋊C4C23×C5911yescharacteristic
1175C2×C22⋊C4C23×C5911yescharacteristic
1176C2×C22⋊C4C23×C5911yescharacteristic
1177C2×C22⋊C4C23×C5911yescharacteristic
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×C42C23×C5911yescharacteristic
1203C2×C42C23×C5911yescharacteristic
1204C2×C42C23×C5911yescharacteristic
1205C2×C42C23×C5911yescharacteristic
1206C2×C42C23×C5911yescharacteristic
1207C2×C42C23×C5911yescharacteristic
1208C2×C42C23×C5911yescharacteristic
1209C2×C42C23×C5911yescharacteristic
1210C2×C42C23×C5911yescharacteristic
1211C2×C42C23×C5911yescharacteristic
1212C2×C42C23×C5911yescharacteristic
1213#95C23×C5911yescharacteristic
1214#95C23×C5911yescharacteristic
1215#95C23×C5911yescharacteristic
1216#95C23×C5911yescharacteristic
1217#95C23×C5911yescharacteristic
1218#95C23×C5911yescharacteristic
1219#95C23×C5911yescharacteristic
1220#95C23×C5911yescharacteristic
1221#95C23×C5911yescharacteristic
1222#95C23×C5911yescharacteristic
1223#95C23×C5911yescharacteristic
1224#95C23×C5911yescharacteristic
1225#95C23×C5911yescharacteristic
1226#95C23×C5911yescharacteristic
1227#95C23×C5911yescharacteristic
1228#95C23×C5911yescharacteristic
1229#95C23×C5911yescharacteristic
1230#95C23×C5911yescharacteristic
1231#95C23×C5911yescharacteristic
1232#95C23×C5911yescharacteristic
1233#95C23×C5911yescharacteristic
1234#95C23×C5911yescharacteristic
1235#95C23×C5911yescharacteristic
1236#95C23×C5911yescharacteristic
1237#95C23×C5911yescharacteristic
1238#95C23×C5911yescharacteristic
1239#95C23×C5911yescharacteristic
1240#95C23×C5911yescharacteristic
1241#95C23×C5911yescharacteristic
1242#95C23×C5911yescharacteristic
1243#95C23×C5911yescharacteristic
1244#95C23×C5911yescharacteristic
1245C24—22no—
1246C24—22no—
1247C24—22no—
1248C24—22no—
1249C24—22no—
1250C24—41no—
1251C24—41no—
1252C24C24×C5911yescharacteristic
1253C24C24×C5911yescharacteristic
1254C24C24×C5911yescharacteristic
1255C24C24×C5911yescharacteristic
1256C24C24×C5911yescharacteristic
1257C24C24×C5911yescharacteristic
1258#41—416no—
1259C2×Q8—22no—
1260C2×Q8—22no—
1261C2×Q8—22no—
1262C2×Q8—41no—
1263C2×Q8—41no—
1264C2×Q8—41no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—41no—
1290C2×D4—41no—
1291C2×D4—41no—
1292C2×D4—41no—
1293C2×D4—41no—
1294C2×D4—41no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4C2×D4×C5914yes—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—41no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—41no—
1326C22×C4—41no—
1327C22×C4—41no—
1328C22×C4—41no—
1329C22×C4—41no—
1330C22×C4—41no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—41no—
1343C22×C4—416no—
1344C22×C4C2×D4×C5914yes—
1345C22×C4C2×D4×C5914yes—
1346C22×C4#41×C5914yescomplemented
1347C22×C4C24×C5911yescharacteristic
1348C22×C4C24×C5911yescharacteristic
1349C22×C4C24×C5911yescharacteristic
1350C22×C4C24×C5911yescharacteristic
1351C22×C4C24×C5911yescharacteristic
1352C22×C4C24×C5911yescharacteristic
1353C22×C4C24×C5911yescharacteristic
1354C22×C4C24×C5911yescharacteristic
1355C22×C4C24×C5911yescharacteristic
1356C22×C4C24×C5911yescharacteristic
1357C22×C4C24×C5911yescharacteristic
1358C22×C4C24×C5911yescharacteristic
1359C22×C4C24×C5911yescharacteristic
1360C22×C4C24×C5911yescharacteristic
1361C22×C4C24×C5911yescharacteristic
1362C22×C4C24×C5911yescharacteristic
1363C22×C4C24×C5911yescharacteristic
1364C22×C4C24×C5911yescharacteristic
1365C22×C4C24×C5911yescharacteristic
1366C22×C4C24×C5911yescharacteristic
1367C22×C4C24×C5911yescharacteristic
1368C22×C4C24×C5911yescharacteristic
1369C22×C4C24×C5911yescharacteristic
1370C22×C4C24×C5911yescharacteristic
1371C22×C4C24×C5911yescharacteristic
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—22no—
1398C4⋊C4—41no—
1399C4⋊C4—41no—
1400C4⋊C4—41no—
1401C4⋊C4—41no—
1402C4⋊C4—41no—
1403C4⋊C4—41no—
1404C4⋊C4—41no—
1405C4⋊C4C2×D4×C5914yes—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—22no—
1418C22⋊C4—22no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—22no—
1428C22⋊C4—22no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—22no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4C2×D4×C5914yes—
1452C22⋊C4C2×D4×C5914yes—
1453C22⋊C4#41×C5914yescomplemented
1454C42—22no—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—41no—
1459C42—41no—
1460C42—41no—
1461C42—41no—
1462C42—41no—
1463C42—41no—
1464C42C2×D4×C5914yes—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—28no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—44no—
1503C23—44no—
1504C23—44no—
1505C23—44no—
1506C23—44no—
1507C23—44no—
1508C23C22×D4×C5912yes—
1509C23C22×D4×C5912yes—
1510C23C2×#41×C5912yes—
1511C23C2×#41×C5912yes—
1512C23H(5,𝔽2)×C5912yes—
1513C232−1+4×C5912yes—
1514C23C25×C5911yescharacteristic
1515Q8—44no—
1516Q8—82no—
1517D4—28no—
1518D4—44no—
1519D4—44no—
1520D4—44no—
1521D4—44no—
1522D4—44no—
1523D4—44no—
1524D4—44no—
1525D4—44no—
1526D4—44no—
1527D4—82no—
1528D4—82no—
1529C2×C4—28no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
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—44no—
1596C2×C4—44no—
1597C2×C4—44no—
1598C2×C4—44no—
1599C2×C4—44no—
1600C2×C4—44no—
1601C2×C4—44no—
1602C2×C4—44no—
1603C2×C4—44no—
1604C2×C4—82no—
1605C2×C4—82no—
1606C2×C4—82no—
1607C2×C4—82no—
1608C2×C4—82no—
1609C2×C4C22×D4×C5912yes—
1610C2×C4C22×D4×C5912yes—
1611C2×C4C22×D4×C5912yes—
1612C2×C4C22×D4×C5912yes—
1613C2×C4C22×D4×C5912yes—
1614C2×C4C2×#41×C5912yes—
1615C2×C4C2×#41×C5912yes—
1616C2×C4C2×#41×C5912yes—
1617C2×C4C2×#41×C5912yes—
1618C2×C4H(5,𝔽2)×C5912yes—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—416no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22C59×#53214yes—
1662C22C23×D4×C5911yescharacteristic
1663C22C22×#41×C5911yescharacteristic
1664C22C22×#41×C5911yescharacteristic
1665C22C2×H(5,𝔽2)×C5911yescharacteristic
1666C22C2×H(5,𝔽2)×C5911yescharacteristic
1667C22C2×2−1+4×C5911yescharacteristic
1668C22C59×#58511yescharacteristic
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—22no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C2—24no—
1695C2—42no—
1696C2—42no—
1697C2—42no—
1698C2—81no—
1699C2—81no—
1700C2C2×C59×#53211yescharacteristic
1701C2C59×#348411yescharacteristic
1702C2C59×#348911yescharacteristic
1703C2C59×#349211yescharacteristic
1704C2C59×#350511yescharacteristic
1705C2C59×#351311yescharacteristic
1706C2C59×#352011yescharacteristic
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×#539C2semidirect
2. C2×C59×#525C2semidirect
3. C59×#2611C2semidirect
4. C59×#2603C2semidirect
5. C59×#2602C2semidirect
6. C59×#2601C2semidirect
7. C59×#2566C2semidirect
8. C59×#2564C2semidirect
9. C59×#2559C2semidirect
10. C59×#2558C2semidirect
11. C59×#2556C2semidirect
12. C59×#2553C2semidirect
13. C59×#2539C2semidirect
14. C59×#2534C2semidirect
15. C59×#2488C2semidirect
16. C59×#2472C2semidirect
17. C59×#2464C2semidirect
18. C59×#2461C2semidirect
19. C59×#2452C2semidirect
20. C59×#2440C2semidirect
21. C59×#2432C2semidirect
22. C59×#2430C2semidirect
23. C59×#2425C2semidirect
24. C59×#2424C2semidirect
25. C59×#2422C2semidirect
26. C59×#2416C2semidirect
27. C59×#2325C2semidirect
28. C59×#2322C2semidirect
29. C4×#120×C59C2semidirect
30. C2×C59×#385C2semidirect
31. C59×#2275C2semidirect
35. C2×C4⋊Q8×C59C22semidirect
36. C2×#126×C59C22semidirect
37. C2×#126×C59C22semidirect
38. C2×#125×C59C22semidirect
39. C2×#125×C59C22semidirect
47. C2×#123×C59C22semidirect
48. C2×#123×C59C22semidirect
52. C2×C22⋊Q8×C59C22semidirect
53. C2×C22⋊Q8×C59C22semidirect
59. C2×#121×C59C22semidirect
77. C59×#400C22semidirect
78. C59×#400C22semidirect
81. C59×#398C22semidirect
82. C59×#398C22semidirect
83. C59×#398C22semidirect
85. C59×#397C22semidirect
86. C59×#397C22semidirect
90. C59×#396C22semidirect
91. C59×#396C22semidirect
92. C59×#396C22semidirect
93. C59×#395C22semidirect
94. C59×#395C22semidirect
101. C59×#394C22semidirect
102. C59×#394C22semidirect
103. C59×#394C22semidirect
105. C59×#393C22semidirect
109. C59×#391C22semidirect
116. C59×#390C22semidirect
117. C59×#389C22semidirect
118. C59×#389C22semidirect
119. C59×#389C22semidirect
120. C59×#389C22semidirect
121. C59×#389C22semidirect
122. C59×#389C22semidirect
128. C59×#388C22semidirect
129. C59×#388C22semidirect
130. C59×#388C22semidirect
131. C59×#388C22semidirect
132. C59×#388C22semidirect
133. C59×#388C22semidirect
134. C59×#388C22semidirect
135. C59×#387C22semidirect
136. C59×#387C22semidirect
137. C59×#387C22semidirect
138. C59×#387C22semidirect
148. C59×#386C22semidirect
149. C59×#386C22semidirect
150. C59×#386C22semidirect
163. C59×#385C22semidirect
164. C59×#385C22semidirect
165. C59×#385C22semidirect
166. C59×#385C22semidirect
167. C59×#384C22semidirect
168. C59×#382C22semidirect
171. C59×#380C22semidirect
172. C59×#380C22semidirect
174. C4×C4⋊C4×C59C22semidirect
175. C4×C4⋊C4×C59C22semidirect
176. C4×C4⋊C4×C59C22semidirect
182. C4×C22⋊C4×C59C22semidirect
183. C4×C22⋊C4×C59C22semidirect
184. C4×C22⋊C4×C59C22semidirect
185. C59×#376C22semidirect
188. C2×#95×C59C22semidirect
260. C4×D4×C59D4semidirect
492. C22×C4×C59#41semidirect
599. C22⋊C4×C59#41semidirect
765. #35393C59direct (N × H)
841. C2×#539C2×C59semidirect
842. C2×#525C2×C59semidirect
843. #2611C2×C59semidirect
844. #2603C2×C59semidirect
845. #2602C2×C59semidirect
846. #2601C2×C59semidirect
847. #2566C2×C59semidirect
848. #2564C2×C59semidirect
849. #2559C2×C59semidirect
850. #2558C2×C59semidirect
851. #2556C2×C59semidirect
852. #2553C2×C59semidirect
853. #2539C2×C59semidirect
854. #2534C2×C59semidirect
855. #2488C2×C59semidirect
856. #2472C2×C59semidirect
857. #2464C2×C59semidirect
858. #2461C2×C59semidirect
859. #2452C2×C59semidirect
860. #2440C2×C59semidirect
861. #2432C2×C59semidirect
862. #2430C2×C59semidirect
863. #2425C2×C59semidirect
864. #2424C2×C59semidirect
865. #2422C2×C59semidirect
866. #2416C2×C59semidirect
867. #2325C2×C59semidirect
868. #2322C2×C59semidirect
869. C4×#120C2×C59semidirect
870. C2×#385C2×C59semidirect
871. #2275C2×C59semidirect
888. C2×C4⋊Q8C22×C59semidirect
889. C2×#126C22×C59semidirect
890. C2×#126C22×C59semidirect
891. C2×#125C22×C59semidirect
892. C2×#125C22×C59semidirect
900. C2×#123C22×C59semidirect
901. C2×#123C22×C59semidirect
905. C2×C22⋊Q8C22×C59semidirect
906. C2×C22⋊Q8C22×C59semidirect
912. C2×#121C22×C59semidirect
930. #400C22×C59semidirect
931. #400C22×C59semidirect
934. #398C22×C59semidirect
935. #398C22×C59semidirect
936. #398C22×C59semidirect
938. #397C22×C59semidirect
939. #397C22×C59semidirect
943. #396C22×C59semidirect
944. #396C22×C59semidirect
945. #396C22×C59semidirect
946. #395C22×C59semidirect
947. #395C22×C59semidirect
954. #394C22×C59semidirect
955. #394C22×C59semidirect
956. #394C22×C59semidirect
958. #393C22×C59semidirect
962. #391C22×C59semidirect
969. #390C22×C59semidirect
970. #389C22×C59semidirect
971. #389C22×C59semidirect
972. #389C22×C59semidirect
973. #389C22×C59semidirect
974. #389C22×C59semidirect
975. #389C22×C59semidirect
981. #388C22×C59semidirect
982. #388C22×C59semidirect
983. #388C22×C59semidirect
984. #388C22×C59semidirect
985. #388C22×C59semidirect
986. #388C22×C59semidirect
987. #388C22×C59semidirect
988. #387C22×C59semidirect
989. #387C22×C59semidirect
990. #387C22×C59semidirect
991. #387C22×C59semidirect
1001. #386C22×C59semidirect
1002. #386C22×C59semidirect
1003. #386C22×C59semidirect
1016. #385C22×C59semidirect
1017. #385C22×C59semidirect
1018. #385C22×C59semidirect
1019. #385C22×C59semidirect
1020. #384C22×C59semidirect
1021. #382C22×C59semidirect
1024. #380C22×C59semidirect
1025. #380C22×C59semidirect
1027. C4×C4⋊C4C22×C59semidirect
1028. C4×C4⋊C4C22×C59semidirect
1029. C4×C4⋊C4C22×C59semidirect
1035. C4×C22⋊C4C22×C59semidirect
1036. C4×C22⋊C4C22×C59semidirect
1037. C4×C22⋊C4C22×C59semidirect
1038. #376C22×C59semidirect
1041. C2×#95C22×C59semidirect
1042. C59#35393direct (N × H)
1114. C4×D4D4×C59semidirect
1346. C22×C4#41×C59semidirect
1453. C22⋊C4#41×C59semidirect

Maximal subgroups

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

subgroupindex
C2×C59×#5392
C2×C59×#5252
C59×#26112
C59×#26032
C59×#26022
C59×#26012
C59×#25662
C59×#25642
C59×#25592
C59×#25582
C59×#25562
C59×#25532
C59×#25392
C59×#25342
C59×#24882
C59×#24722
C59×#24642
C59×#24612
C59×#24522
C59×#24402
C59×#24322
C59×#24302
C59×#24252
C59×#24242
C59×#24222
C59×#24162
C59×#23252
C59×#23222
C4×#120×C592
C2×C59×#3852
C59×#22752
#3539359