Finite Group Databasebeta

← C59×#36746 #28448855

Subgroups — C59×#36746 #28448855

Order 15104.

2152 conjugacy classes of subgroups.

The subgroup lattice has 1626 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C59×#540C211yesmaximal, characteristic, complemented
2C2×C59×#539C211yesmaximal, characteristic, complemented
3C59×#2854C211yesmaximal, characteristic, complemented
4C59×#2850C211yesmaximal, characteristic, complemented
5C59×#2719C211yesmaximal, characteristic, complemented
6C59×#2711C211yesmaximal, characteristic, complemented
7C59×#2709C211yesmaximal, characteristic, complemented
8C59×#2708C211yesmaximal, characteristic, complemented
9C59×#2706C211yesmaximal, characteristic, complemented
10C59×#2703C211yesmaximal, characteristic, complemented
11C59×#2695C211yesmaximal, characteristic, complemented
12C59×#2693C211yesmaximal, characteristic, complemented
13C59×#2691C211yesmaximal, characteristic, complemented
14C59×#2690C211yesmaximal, characteristic, complemented
15C59×#2688C211yesmaximal, characteristic, complemented
16C59×#2687C211yesmaximal, characteristic, complemented
17C59×#2676C211yesmaximal, characteristic, complemented
18C59×#2673C211yesmaximal, characteristic, complemented
19C59×#2672C211yesmaximal, characteristic, complemented
20C59×#2671C211yesmaximal, characteristic, complemented
21C59×#2663C211yesmaximal, characteristic, complemented
22C59×#2661C211yesmaximal, characteristic, complemented
23C59×#2611C211yesmaximal, characteristic, complemented
24C59×#2603C211yesmaximal, characteristic, complemented
25C59×#2602C211yesmaximal, characteristic, complemented
26C59×#2601C211yesmaximal, characteristic, complemented
27C59×#2591C211yesmaximal, characteristic, complemented
28C59×#2562C211yesmaximal, characteristic, complemented
29C59×#2414C211yesmaximal, characteristic, complemented
30C59×#2413C211yesmaximal, characteristic, complemented
31C59×#2290C211yesmaximal, characteristic, complemented
32C59×#540—28no—
33C59×#539—28no—
34C2×#127×C59C2211yescharacteristic
35C2×#126×C59C2211yescharacteristic
36C2×#126×C59C2211yescharacteristic
37C2×#125×C59C2211yescharacteristic
38C2×#125×C59C2211yescharacteristic
39C2×#125×C59C2211yescharacteristic
40C2×#124×C59C2211yescharacteristic
41C2×#123×C59C2211yescharacteristic
42C2×#123×C59C2211yescharacteristic
43C2×#123×C59C2211yescharacteristic
44C2×#123×C59C2211yescharacteristic
45C2×#123×C59C2211yescharacteristic
46C2×#123×C59C2211yescharacteristic
47C2×#123×C59C2211yescharacteristic
48C2×#123×C59C2211yescharacteristic
49C2×#123×C59C2211yescharacteristic
50C2×C22⋊Q8×C59C2211yescharacteristic
51C2×C22⋊Q8×C59C2211yescharacteristic
52C2×C22⋊Q8×C59C2211yescharacteristic
53C2×#121×C59C2211yescharacteristic
54C2×#121×C59C2211yescharacteristic
55C2×#121×C59C2211yescharacteristic
56C2×#121×C59C2211yescharacteristic
57C2×#121×C59C2211yescharacteristic
58C2×#121×C59C2211yescharacteristic
59C2×#121×C59C2211yescharacteristic
60C2×#121×C59C2211yescharacteristic
61C2×#121×C59C2211yescharacteristic
62C2×C4×D4×C59C2211yescharacteristic
63C2×C4×D4×C59C2211yescharacteristic
64C2×C4×D4×C59C2211yescharacteristic
65C2×#117×C59C2211yescharacteristic
66C2×#117×C59C2211yescharacteristic
67C22×C4⋊C4×C59C2211yescharacteristic
68C22×C42×C59C2211yescharacteristic
69C59×#400C2211yescharacteristic
70C59×#400C2211yescharacteristic
71C59×#400C2211yescharacteristic
72C59×#400C2211yescharacteristic
73C59×#400C2211yescharacteristic
74C59×#400C2211yescharacteristic
75C59×#399C2211yescharacteristic
76C59×#399C2211yescharacteristic
77C59×#398C2211yescharacteristic
78C59×#398C2211yescharacteristic
79C59×#398C2211yescharacteristic
80C59×#398C2211yescharacteristic
81C59×#398C2211yescharacteristic
82C59×#398C2211yescharacteristic
83C59×#397C2211yescharacteristic
84C59×#397C2211yescharacteristic
85C59×#397C2211yescharacteristic
86C59×#397C2211yescharacteristic
87C59×#397C2211yescharacteristic
88C59×#397C2211yescharacteristic
89C59×#396C2211yescharacteristic
90C59×#396C2211yescharacteristic
91C59×#396C2211yescharacteristic
92C59×#396C2211yescharacteristic
93C59×#395C2211yescharacteristic
94C59×#394C2211yescharacteristic
95C59×#394C2211yescharacteristic
96C59×#394C2211yescharacteristic
97C59×#394C2211yescharacteristic
98C59×#394C2211yescharacteristic
99C59×#394C2211yescharacteristic
100C59×#394C2211yescharacteristic
101C59×#394C2211yescharacteristic
102C59×#394C2211yescharacteristic
103C59×#394C2211yescharacteristic
104C59×#394C2211yescharacteristic
105C59×#394C2211yescharacteristic
106C59×#394C2211yescharacteristic
107C59×#394C2211yescharacteristic
108C59×#394C2211yescharacteristic
109C59×#393C2211yescharacteristic
110C59×#392C2211yescharacteristic
111C59×#392C2211yescharacteristic
112C59×#392C2211yescharacteristic
113C59×#392C2211yescharacteristic
114C59×#392C2211yescharacteristic
115C59×#392C2211yescharacteristic
116C59×#392C2211yescharacteristic
117C59×#391C2211yescharacteristic
118C59×#390C2211yescharacteristic
119C59×#390C2211yescharacteristic
120C59×#390C2211yescharacteristic
121C59×#390C2211yescharacteristic
122C59×#390C2211yescharacteristic
123C59×#390C2211yescharacteristic
124C59×#389C2211yescharacteristic
125C59×#389C2211yescharacteristic
126C59×#389C2211yescharacteristic
127C59×#389C2211yescharacteristic
128C59×#389C2211yescharacteristic
129C59×#388C2211yescharacteristic
130C59×#388C2211yescharacteristic
131C59×#388C2211yescharacteristic
132C59×#388C2211yescharacteristic
133C59×#388C2211yescharacteristic
134C59×#388C2211yescharacteristic
135C59×#388C2211yescharacteristic
136C59×#388C2211yescharacteristic
137C59×#388C2211yescharacteristic
138C59×#388C2211yescharacteristic
139C59×#388C2211yescharacteristic
140C59×#388C2211yescharacteristic
141C59×#388C2211yescharacteristic
142C59×#388C2211yescharacteristic
143C59×#388C2211yescharacteristic
144C59×#388C2211yescharacteristic
145C59×#387C2211yescharacteristic
146C59×#387C2211yescharacteristic
147C59×#387C2211yescharacteristic
148C59×#387C2211yescharacteristic
149C59×#387C2211yescharacteristic
150C59×#387C2211yescharacteristic
151C59×#386C2211yescharacteristic
152C59×#386C2211yescharacteristic
153C59×#386C2211yescharacteristic
154C59×#386C2211yescharacteristic
155C59×#386C2211yescharacteristic
156C59×#386C2211yescharacteristic
157C59×#386C2211yescharacteristic
158C59×#386C2211yescharacteristic
159C59×#386C2211yescharacteristic
160C59×#386C2211yescharacteristic
161C59×#386C2211yescharacteristic
162C59×#386C2211yescharacteristic
163C59×#386C2211yescharacteristic
164C59×#386C2211yescharacteristic
165C59×#386C2211yescharacteristic
166C59×#386C2211yescharacteristic
167C59×#386C2211yescharacteristic
168C59×#385C2211yescharacteristic
169C59×#385C2211yescharacteristic
170C59×#385C2211yescharacteristic
171C59×#385C2211yescharacteristic
172C59×#385C2211yescharacteristic
173C59×#385C2211yescharacteristic
174C59×#385C2211yescharacteristic
175C59×#385C2211yescharacteristic
176C59×#385C2211yescharacteristic
177C59×#382C2211yescharacteristic
178C59×#381C2211yescharacteristic
179C59×#380C2211yescharacteristic
180C59×#380C2211yescharacteristic
181C59×#380C2211yescharacteristic
182C59×#380C2211yescharacteristic
183C59×#380C2211yescharacteristic
184C59×#380C2211yescharacteristic
185C4×C4⋊C4×C59C2211yescharacteristic
186C4×C22⋊C4×C59C2211yescharacteristic
187C4×C22⋊C4×C59C2211yescharacteristic
188C59×#376C2211yescharacteristic
189C22×Q8×C59C2311yescharacteristic
190C22×D4×C59C2311yescharacteristic
191C22×D4×C59C2311yescharacteristic
192C22×D4×C59C2311yescharacteristic
193C22×D4×C59C2311yescharacteristic
194C22×D4×C59C2311yescharacteristic
195C22×D4×C59C2311yescharacteristic
196C22×D4×C59C2311yescharacteristic
197C22×D4×C59C2311yescharacteristic
198C22×D4×C59C2311yescharacteristic
199C22×D4×C59C2311yescharacteristic
200C22×D4×C59C2311yescharacteristic
201C22×D4×C59C2311yescharacteristic
202C22×D4×C59C2311yescharacteristic
203C22×D4×C59C2311yescharacteristic
204C22×D4×C59C2311yescharacteristic
205C23×C4×C59C2311yescharacteristic
206C23×C4×C59C2311yescharacteristic
207C23×C4×C59C2311yescharacteristic
208C23×C4×C59C2311yescharacteristic
209C23×C4×C59C2311yescharacteristic
210C23×C4×C59C2311yescharacteristic
211C23×C4×C59C2311yescharacteristic
212C23×C4×C59C2311yescharacteristic
213C23×C4×C59C2311yescharacteristic
214C23×C4×C59C2311yescharacteristic
215#127×C59—24no—
216#126×C59—24no—
217#126×C59—24no—
218#125×C59—24no—
219#125×C59—24no—
220#125×C59—24no—
221#124×C59—42no—
222#123×C59—24no—
223#123×C59—24no—
224#123×C59—24no—
225#123×C59—24no—
226#123×C59—24no—
227#123×C59—24no—
228#123×C59—24no—
229#123×C59—24no—
230#123×C59—42no—
231C22⋊Q8×C59—24no—
232C22⋊Q8×C59—24no—
233C22⋊Q8×C59—24no—
234#121×C59—24no—
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—42no—
242#121×C59—42no—
243C4×D4×C59—24no—
244C4×D4×C59—24no—
245C4×D4×C59D418yescomplemented
246#117×C59—24no—
247#117×C59—42no—
248C2×C4⋊C4×C59—24no—
249C2×C4⋊C4×C59C2311yescharacteristic
250C2×C4⋊C4×C59C2311yescharacteristic
251C2×C4⋊C4×C59C2311yescharacteristic
252C2×C4⋊C4×C59C2311yescharacteristic
253C2×C4⋊C4×C59C2311yescharacteristic
254C2×C4⋊C4×C59C2311yescharacteristic
255C2×C4⋊C4×C59C2311yescharacteristic
256C2×C4⋊C4×C59C2311yescharacteristic
257C2×C4⋊C4×C59C2311yescharacteristic
258C2×C4⋊C4×C59C2311yescharacteristic
259C2×C4⋊C4×C59C2311yescharacteristic
260C2×C4⋊C4×C59C2311yescharacteristic
261C2×C4⋊C4×C59C2311yescharacteristic
262C2×C4⋊C4×C59C2311yescharacteristic
263C2×C4⋊C4×C59C2311yescharacteristic
264C2×C4⋊C4×C59C2311yescharacteristic
265C2×C4⋊C4×C59C2311yescharacteristic
266C2×C4⋊C4×C59C2311yescharacteristic
267C2×C4⋊C4×C59C2311yescharacteristic
268C2×C4⋊C4×C59C2311yescharacteristic
269C2×C4⋊C4×C59C2311yescharacteristic
270C2×C4⋊C4×C59C2311yescharacteristic
271C2×C4⋊C4×C59C2311yescharacteristic
272C2×C4⋊C4×C59C2311yescharacteristic
273C2×C4⋊C4×C59C2311yescharacteristic
274C2×C4⋊C4×C59C2311yescharacteristic
275C2×C4⋊C4×C59C2311yescharacteristic
276C2×C4⋊C4×C59C2311yescharacteristic
277C2×C4⋊C4×C59C2311yescharacteristic
278C2×C4⋊C4×C59C2311yescharacteristic
279C2×C4⋊C4×C59C2311yescharacteristic
280C2×C4⋊C4×C59C2311yescharacteristic
281C2×C4⋊C4×C59C2311yescharacteristic
282C2×C4⋊C4×C59C2311yescharacteristic
283C2×C22⋊C4×C59C2311yescharacteristic
284C2×C22⋊C4×C59C2311yescharacteristic
285C2×C22⋊C4×C59C2311yescharacteristic
286C2×C22⋊C4×C59C2311yescharacteristic
287C2×C22⋊C4×C59C2311yescharacteristic
288C2×C22⋊C4×C59C2311yescharacteristic
289C2×C22⋊C4×C59C2311yescharacteristic
290C2×C22⋊C4×C59C2311yescharacteristic
291C2×C22⋊C4×C59C2311yescharacteristic
292C2×C22⋊C4×C59C2311yescharacteristic
293C2×C22⋊C4×C59C2311yescharacteristic
294C2×C22⋊C4×C59C2311yescharacteristic
295C2×C22⋊C4×C59C2311yescharacteristic
296C2×C22⋊C4×C59C2311yescharacteristic
297C2×C22⋊C4×C59C2311yescharacteristic
298C2×C22⋊C4×C59C2311yescharacteristic
299C2×C22⋊C4×C59C2311yescharacteristic
300C2×C22⋊C4×C59C2311yescharacteristic
301C2×C22⋊C4×C59C2311yescharacteristic
302C2×C22⋊C4×C59C2311yescharacteristic
303C2×C22⋊C4×C59C2311yescharacteristic
304C2×C22⋊C4×C59C2311yescharacteristic
305C2×C22⋊C4×C59C2311yescharacteristic
306C2×C22⋊C4×C59C2311yescharacteristic
307C2×C22⋊C4×C59C2311yescharacteristic
308C2×C22⋊C4×C59C2311yescharacteristic
309C2×C22⋊C4×C59C2311yescharacteristic
310C2×C22⋊C4×C59C2311yescharacteristic
311C2×C22⋊C4×C59C2311yescharacteristic
312C2×C22⋊C4×C59C2311yescharacteristic
313C2×C22⋊C4×C59C2311yescharacteristic
314C2×C22⋊C4×C59C2311yescharacteristic
315C2×C22⋊C4×C59C2311yescharacteristic
316C2×C22⋊C4×C59C2311yescharacteristic
317C2×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×C42×C59—42no—
334C2×C42×C59C2311yescharacteristic
335C2×C42×C59C2311yescharacteristic
336C2×C42×C59C2311yescharacteristic
337C2×C42×C59C2311yescharacteristic
338C2×C42×C59C2311yescharacteristic
339C2×C42×C59C2311yescharacteristic
340C2×C42×C59C2311yescharacteristic
341C2×C42×C59C2311yescharacteristic
342C2×C42×C59C2311yescharacteristic
343#95×C59C2311yescharacteristic
344#95×C59C2311yescharacteristic
345#95×C59C2311yescharacteristic
346#95×C59C2311yescharacteristic
347#95×C59C2311yescharacteristic
348#95×C59C2311yescharacteristic
349#95×C59C2311yescharacteristic
350#95×C59C2311yescharacteristic
351#95×C59C2311yescharacteristic
352#95×C59C2311yescharacteristic
353#95×C59C2311yescharacteristic
354#95×C59C2311yescharacteristic
355#95×C59C2311yescharacteristic
356#95×C59C2311yescharacteristic
357#95×C59C2311yescharacteristic
358#95×C59C2311yescharacteristic
359#95×C59C2311yescharacteristic
360#95×C59C2311yescharacteristic
361#95×C59C2311yescharacteristic
362#95×C59C2311yescharacteristic
363#95×C59C2311yescharacteristic
364#95×C59C2311yescharacteristic
365#95×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
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
379C24×C59C2411yescharacteristic
380C24×C59C2411yescharacteristic
381C24×C59C2411yescharacteristic
382C24×C59C2411yescharacteristic
383C24×C59C2411yescharacteristic
384C24×C59C2411yescharacteristic
385C2×Q8×C59—22no—
386C2×Q8×C59—41no—
387C2×Q8×C59—41no—
388C2×D4×C59—22no—
389C2×D4×C59—22no—
390C2×D4×C59—22no—
391C2×D4×C59—22no—
392C2×D4×C59—22no—
393C2×D4×C59—22no—
394C2×D4×C59—22no—
395C2×D4×C59—22no—
396C2×D4×C59—22no—
397C2×D4×C59—22no—
398C2×D4×C59—22no—
399C2×D4×C59—22no—
400C2×D4×C59—41no—
401C2×D4×C59—41no—
402C2×D4×C59—41no—
403C2×D4×C59—41no—
404C2×D4×C59—41no—
405C2×D4×C59—41no—
406C2×D4×C59—41no—
407C2×D4×C59—41no—
408C2×D4×C59—41no—
409C2×D4×C59—41no—
410C2×D4×C59—41no—
411C2×D4×C59—41no—
412C2×D4×C59—41no—
413C2×D4×C59—41no—
414C2×D4×C59—41no—
415C2×D4×C59—41no—
416C2×D4×C59—41no—
417C2×D4×C59—41no—
418C2×D4×C59—41no—
419C2×D4×C59—41no—
420C2×D4×C59—41no—
421C2×D4×C59—41no—
422C2×D4×C59—41no—
423C2×D4×C59—41no—
424C2×D4×C59—41no—
425C2×D4×C59—41no—
426C2×D4×C59—41no—
427C2×D4×C59—41no—
428C2×D4×C59—41no—
429C2×D4×C59—41no—
430C2×D4×C59—41no—
431C2×D4×C59—41no—
432C2×D4×C59C2×D414yes—
433C22×C4×C59—22no—
434C22×C4×C59—22no—
435C22×C4×C59—22no—
436C22×C4×C59—22no—
437C22×C4×C59—22no—
438C22×C4×C59—22no—
439C22×C4×C59—22no—
440C22×C4×C59—41no—
441C22×C4×C59—41no—
442C22×C4×C59—41no—
443C22×C4×C59—41no—
444C22×C4×C59—41no—
445C22×C4×C59—41no—
446C22×C4×C59—41no—
447C22×C4×C59—41no—
448C22×C4×C59—41no—
449C22×C4×C59—41no—
450C22×C4×C59—41no—
451C22×C4×C59—41no—
452C22×C4×C59—41no—
453C22×C4×C59—41no—
454C22×C4×C59—41no—
455C22×C4×C59—41no—
456C22×C4×C59—41no—
457C22×C4×C59—41no—
458C22×C4×C59—41no—
459C22×C4×C59—41no—
460C22×C4×C59—41no—
461C22×C4×C59C2×D414yes—
462C22×C4×C59C2×D414yes—
463C22×C4×C59C2411yescharacteristic
464C22×C4×C59C2411yescharacteristic
465C22×C4×C59C2411yescharacteristic
466C22×C4×C59C2411yescharacteristic
467C22×C4×C59C2411yescharacteristic
468C22×C4×C59C2411yescharacteristic
469C22×C4×C59C2411yescharacteristic
470C22×C4×C59C2411yescharacteristic
471C22×C4×C59C2411yescharacteristic
472C22×C4×C59C2411yescharacteristic
473C22×C4×C59C2411yescharacteristic
474C22×C4×C59C2411yescharacteristic
475C22×C4×C59C2411yescharacteristic
476C22×C4×C59C2411yescharacteristic
477C22×C4×C59C2411yescharacteristic
478C22×C4×C59C2411yescharacteristic
479C22×C4×C59C2411yescharacteristic
480C22×C4×C59C2411yescharacteristic
481C22×C4×C59C2411yescharacteristic
482C22×C4×C59C2411yescharacteristic
483C22×C4×C59C2411yescharacteristic
484C22×C4×C59C2411yescharacteristic
485C22×C4×C59C2411yescharacteristic
486C22×C4×C59C2411yescharacteristic
487C22×C4×C59C2411yescharacteristic
488C4⋊C4×C59—22no—
489C4⋊C4×C59—22no—
490C4⋊C4×C59—22no—
491C4⋊C4×C59—22no—
492C4⋊C4×C59—22no—
493C4⋊C4×C59—22no—
494C4⋊C4×C59—22no—
495C4⋊C4×C59—22no—
496C4⋊C4×C59—22no—
497C4⋊C4×C59—22no—
498C4⋊C4×C59—22no—
499C4⋊C4×C59—22no—
500C4⋊C4×C59—22no—
501C4⋊C4×C59—22no—
502C4⋊C4×C59—22no—
503C4⋊C4×C59—22no—
504C4⋊C4×C59—22no—
505C4⋊C4×C59—22no—
506C4⋊C4×C59—22no—
507C4⋊C4×C59—22no—
508C4⋊C4×C59—22no—
509C4⋊C4×C59—22no—
510C4⋊C4×C59—41no—
511C4⋊C4×C59—41no—
512C4⋊C4×C59—41no—
513C4⋊C4×C59—41no—
514C4⋊C4×C59—41no—
515C4⋊C4×C59—41no—
516C4⋊C4×C59—41no—
517C4⋊C4×C59—41no—
518C4⋊C4×C59—41no—
519C4⋊C4×C59—41no—
520C4⋊C4×C59—41no—
521C4⋊C4×C59C2×D414yes—
522C22⋊C4×C59—22no—
523C22⋊C4×C59—22no—
524C22⋊C4×C59—22no—
525C22⋊C4×C59—22no—
526C22⋊C4×C59—22no—
527C22⋊C4×C59—22no—
528C22⋊C4×C59—22no—
529C22⋊C4×C59—22no—
530C22⋊C4×C59—22no—
531C22⋊C4×C59—22no—
532C22⋊C4×C59—22no—
533C22⋊C4×C59—22no—
534C22⋊C4×C59—22no—
535C22⋊C4×C59—22no—
536C22⋊C4×C59—22no—
537C22⋊C4×C59—22no—
538C22⋊C4×C59—22no—
539C22⋊C4×C59—22no—
540C22⋊C4×C59—22no—
541C22⋊C4×C59—41no—
542C22⋊C4×C59—41no—
543C22⋊C4×C59—41no—
544C22⋊C4×C59—41no—
545C22⋊C4×C59—41no—
546C22⋊C4×C59—41no—
547C22⋊C4×C59—41no—
548C22⋊C4×C59—41no—
549C22⋊C4×C59—41no—
550C22⋊C4×C59—41no—
551C22⋊C4×C59—41no—
552C22⋊C4×C59—41no—
553C22⋊C4×C59—41no—
554C22⋊C4×C59—41no—
555C22⋊C4×C59—41no—
556C22⋊C4×C59—41no—
557C22⋊C4×C59—41no—
558C22⋊C4×C59—41no—
559C22⋊C4×C59—41no—
560C22⋊C4×C59—41no—
561C22⋊C4×C59—41no—
562C22⋊C4×C59—41no—
563C22⋊C4×C59—41no—
564C22⋊C4×C59—41no—
565C22⋊C4×C59—41no—
566C22⋊C4×C59—41no—
567C22⋊C4×C59—41no—
568C22⋊C4×C59—41no—
569C22⋊C4×C59—41no—
570C22⋊C4×C59C2×D414yes—
571C22⋊C4×C59C2×D414yes—
572C42×C59—22no—
573C42×C59—22no—
574C42×C59—22no—
575C42×C59—22no—
576C42×C59—41no—
577C42×C59—41no—
578C42×C59—41no—
579C42×C59—41no—
580C42×C59C2×D414yes—
581C23×C59—21no—
582C23×C59—21no—
583C23×C59—21no—
584C23×C59—21no—
585C23×C59—21no—
586C23×C59—21no—
587C23×C59—21no—
588C23×C59—21no—
589C23×C59—21no—
590C23×C59—21no—
591C23×C59—21no—
592C23×C59—21no—
593C23×C59—21no—
594C23×C59—21no—
595C23×C59—21no—
596C23×C59—21no—
597C23×C59—21no—
598C23×C59—21no—
599C23×C59—21no—
600C23×C59—21no—
601C23×C59—21no—
602C23×C59—21no—
603C23×C59—21no—
604C23×C59—21no—
605C23×C59—21no—
606C23×C59—21no—
607C23×C59—21no—
608C23×C59—21no—
609C23×C59—21no—
610C23×C59—21no—
611C23×C59—21no—
612C23×C59—21no—
613C23×C59—21no—
614C23×C59—21no—
615C23×C59—21no—
616C23×C59—21no—
617C23×C59—21no—
618C23×C59—21no—
619C23×C59—21no—
620C23×C59—21no—
621C23×C59C22×D412yes—
622C23×C59C22×D412yes—
623C23×C59C2511yescharacteristic
624Q8×C59—82no—
625D4×C59—44no—
626D4×C59—44no—
627D4×C59—44no—
628D4×C59—82no—
629D4×C59—82no—
630D4×C59—82no—
631D4×C59—82no—
632D4×C59—82no—
633D4×C59—82no—
634D4×C59—82no—
635D4×C59—82no—
636D4×C59—82no—
637D4×C59—82no—
638D4×C59—82no—
639D4×C59—82no—
640C2×C4×C59—21no—
641C2×C4×C59—21no—
642C2×C4×C59—21no—
643C2×C4×C59—21no—
644C2×C4×C59—21no—
645C2×C4×C59—21no—
646C2×C4×C59—21no—
647C2×C4×C59—21no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—21no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59—21no—
665C2×C4×C59—21no—
666C2×C4×C59—21no—
667C2×C4×C59—21no—
668C2×C4×C59—21no—
669C2×C4×C59—21no—
670C2×C4×C59—21no—
671C2×C4×C59—21no—
672C2×C4×C59—21no—
673C2×C4×C59—21no—
674C2×C4×C59—21no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—21no—
679C2×C4×C59—21no—
680C2×C4×C59—21no—
681C2×C4×C59—21no—
682C2×C4×C59—21no—
683C2×C4×C59—21no—
684C2×C4×C59—21no—
685C2×C4×C59—21no—
686C2×C4×C59—21no—
687C2×C4×C59—21no—
688C2×C4×C59—21no—
689C2×C4×C59—21no—
690C2×C4×C59—21no—
691C2×C4×C59—21no—
692C2×C4×C59—21no—
693C2×C4×C59—21no—
694C2×C4×C59—21no—
695C2×C4×C59—21no—
696C2×C4×C59—21no—
697C2×C4×C59—21no—
698C2×C4×C59—21no—
699C2×C4×C59—21no—
700C2×C4×C59—21no—
701C2×C4×C59—21no—
702C2×C4×C59—21no—
703C2×C4×C59—21no—
704C2×C4×C59—21no—
705C2×C4×C59—21no—
706C2×C4×C59—21no—
707C2×C4×C59—21no—
708C2×C4×C59—21no—
709C2×C4×C59—44no—
710C2×C4×C59—44no—
711C2×C4×C59—44no—
712C2×C4×C59—44no—
713C2×C4×C59—44no—
714C2×C4×C59—44no—
715C2×C4×C59—82no—
716C2×C4×C59—82no—
717C2×C4×C59—82no—
718C2×C4×C59—82no—
719C2×C4×C59C22×D412yes—
720C2×C4×C59C22×D412yes—
721C2×C4×C59C22×D412yes—
722C2×C4×C59C22×D412yes—
723C2×C4×C59C22×D412yes—
724C2×C4×C59H(5,𝔽2)12yes—
725#36746C5911yesmaximal, characteristic, direct product factor, Sylow
726C22×C59—22no—
727C22×C59—22no—
728C22×C59—22no—
729C22×C59—22no—
730C22×C59—22no—
731C22×C59—22no—
732C22×C59—41no—
733C22×C59—41no—
734C22×C59—41no—
735C22×C59—41no—
736C22×C59—41no—
737C22×C59—41no—
738C22×C59—41no—
739C22×C59—41no—
740C22×C59—41no—
741C22×C59—41no—
742C22×C59—41no—
743C22×C59—41no—
744C22×C59—41no—
745C22×C59—41no—
746C22×C59—41no—
747C22×C59—41no—
748C22×C59—41no—
749C22×C59—41no—
750C22×C59—41no—
751C22×C59—41no—
752C22×C59—41no—
753C22×C59—41no—
754C22×C59—41no—
755C22×C59—41no—
756C22×C59—41no—
757C22×C59—41no—
758C22×C59—41no—
759C22×C59—41no—
760C22×C59—41no—
761C22×C59—41no—
762C22×C59—41no—
763C22×C59—41no—
764C22×C59—41no—
765C22×C59—41no—
766C22×C59—41no—
767C22×C59—41no—
768C22×C59C23×D411yescharacteristic
769C22×C59C2×H(5,𝔽2)11yescharacteristic
770C22×C59#58511yescharacteristic
771C22×C59#58511yescharacteristic
772C22×C59#58511yescharacteristic
773C22×C59#58511yescharacteristic
774C22×C59#58511yescharacteristic
775C4×C59—22no—
776C4×C59—22no—
777C4×C59—22no—
778C4×C59—22no—
779C4×C59—22no—
780C4×C59—22no—
781C4×C59—41no—
782C4×C59—41no—
783C4×C59—41no—
784C4×C59—41no—
785C4×C59—41no—
786C4×C59—41no—
787C4×C59—41no—
788C4×C59—41no—
789C4×C59—41no—
790C4×C59—41no—
791C4×C59—41no—
792C4×C59—41no—
793C4×C59—41no—
794C4×C59—41no—
795C4×C59—41no—
796C4×C59—41no—
797C4×C59—41no—
798C4×C59—41no—
799C4×C59—41no—
800C2×#540C2×C5911yescharacteristic, complemented
801C2×#539C2×C5911yescharacteristic, complemented
802#2854C2×C5911yescharacteristic, complemented
803#2850C2×C5911yescharacteristic, complemented
804#2719C2×C5911yescharacteristic, complemented
805#2711C2×C5911yescharacteristic, complemented
806#2709C2×C5911yescharacteristic, complemented
807#2708C2×C5911yescharacteristic, complemented
808#2706C2×C5911yescharacteristic, complemented
809#2703C2×C5911yescharacteristic, complemented
810#2695C2×C5911yescharacteristic, complemented
811#2693C2×C5911yescharacteristic, complemented
812#2691C2×C5911yescharacteristic, complemented
813#2690C2×C5911yescharacteristic, complemented
814#2688C2×C5911yescharacteristic, complemented
815#2687C2×C5911yescharacteristic, complemented
816#2676C2×C5911yescharacteristic, complemented
817#2673C2×C5911yescharacteristic, complemented
818#2672C2×C5911yescharacteristic, complemented
819#2671C2×C5911yescharacteristic, complemented
820#2663C2×C5911yescharacteristic, complemented
821#2661C2×C5911yescharacteristic, complemented
822#2611C2×C5911yescharacteristic, complemented
823#2603C2×C5911yescharacteristic, complemented
824#2602C2×C5911yescharacteristic, complemented
825#2601C2×C5911yescharacteristic, complemented
826#2591C2×C5911yescharacteristic, complemented
827#2562C2×C5911yescharacteristic, complemented
828#2414C2×C5911yescharacteristic, complemented
829#2413C2×C5911yescharacteristic, complemented
830#2290C2×C5911yescharacteristic, complemented
831C2×C59—42no—
832C2×C59—42no—
833C2×C59—81no—
834C2×C59—81no—
835C2×C59—81no—
836C2×C59—81no—
837C2×C59#344911yescharacteristic
838C2×C59#349611yescharacteristic
839C2×C59#350011yescharacteristic
840C2×C59#353311yescharacteristic
841C2×C59#353911yescharacteristic
842C2×C59#356611yescharacteristic
843C2×C59#356711yescharacteristic
844#540—28no—
845#539—28no—
846C2×#127C22×C5911yescharacteristic
847C2×#126C22×C5911yescharacteristic
848C2×#126C22×C5911yescharacteristic
849C2×#125C22×C5911yescharacteristic
850C2×#125C22×C5911yescharacteristic
851C2×#125C22×C5911yescharacteristic
852C2×#124C22×C5911yescharacteristic
853C2×#123C22×C5911yescharacteristic
854C2×#123C22×C5911yescharacteristic
855C2×#123C22×C5911yescharacteristic
856C2×#123C22×C5911yescharacteristic
857C2×#123C22×C5911yescharacteristic
858C2×#123C22×C5911yescharacteristic
859C2×#123C22×C5911yescharacteristic
860C2×#123C22×C5911yescharacteristic
861C2×#123C22×C5911yescharacteristic
862C2×C22⋊Q8C22×C5911yescharacteristic
863C2×C22⋊Q8C22×C5911yescharacteristic
864C2×C22⋊Q8C22×C5911yescharacteristic
865C2×#121C22×C5911yescharacteristic
866C2×#121C22×C5911yescharacteristic
867C2×#121C22×C5911yescharacteristic
868C2×#121C22×C5911yescharacteristic
869C2×#121C22×C5911yescharacteristic
870C2×#121C22×C5911yescharacteristic
871C2×#121C22×C5911yescharacteristic
872C2×#121C22×C5911yescharacteristic
873C2×#121C22×C5911yescharacteristic
874C2×C4×D4C22×C5911yescharacteristic
875C2×C4×D4C22×C5911yescharacteristic
876C2×C4×D4C22×C5911yescharacteristic
877C2×#117C22×C5911yescharacteristic
878C2×#117C22×C5911yescharacteristic
879C22×C4⋊C4C22×C5911yescharacteristic
880C22×C42C22×C5911yescharacteristic
881#400C22×C5911yescharacteristic
882#400C22×C5911yescharacteristic
883#400C22×C5911yescharacteristic
884#400C22×C5911yescharacteristic
885#400C22×C5911yescharacteristic
886#400C22×C5911yescharacteristic
887#399C22×C5911yescharacteristic
888#399C22×C5911yescharacteristic
889#398C22×C5911yescharacteristic
890#398C22×C5911yescharacteristic
891#398C22×C5911yescharacteristic
892#398C22×C5911yescharacteristic
893#398C22×C5911yescharacteristic
894#398C22×C5911yescharacteristic
895#397C22×C5911yescharacteristic
896#397C22×C5911yescharacteristic
897#397C22×C5911yescharacteristic
898#397C22×C5911yescharacteristic
899#397C22×C5911yescharacteristic
900#397C22×C5911yescharacteristic
901#396C22×C5911yescharacteristic
902#396C22×C5911yescharacteristic
903#396C22×C5911yescharacteristic
904#396C22×C5911yescharacteristic
905#395C22×C5911yescharacteristic
906#394C22×C5911yescharacteristic
907#394C22×C5911yescharacteristic
908#394C22×C5911yescharacteristic
909#394C22×C5911yescharacteristic
910#394C22×C5911yescharacteristic
911#394C22×C5911yescharacteristic
912#394C22×C5911yescharacteristic
913#394C22×C5911yescharacteristic
914#394C22×C5911yescharacteristic
915#394C22×C5911yescharacteristic
916#394C22×C5911yescharacteristic
917#394C22×C5911yescharacteristic
918#394C22×C5911yescharacteristic
919#394C22×C5911yescharacteristic
920#394C22×C5911yescharacteristic
921#393C22×C5911yescharacteristic
922#392C22×C5911yescharacteristic
923#392C22×C5911yescharacteristic
924#392C22×C5911yescharacteristic
925#392C22×C5911yescharacteristic
926#392C22×C5911yescharacteristic
927#392C22×C5911yescharacteristic
928#392C22×C5911yescharacteristic
929#391C22×C5911yescharacteristic
930#390C22×C5911yescharacteristic
931#390C22×C5911yescharacteristic
932#390C22×C5911yescharacteristic
933#390C22×C5911yescharacteristic
934#390C22×C5911yescharacteristic
935#390C22×C5911yescharacteristic
936#389C22×C5911yescharacteristic
937#389C22×C5911yescharacteristic
938#389C22×C5911yescharacteristic
939#389C22×C5911yescharacteristic
940#389C22×C5911yescharacteristic
941#388C22×C5911yescharacteristic
942#388C22×C5911yescharacteristic
943#388C22×C5911yescharacteristic
944#388C22×C5911yescharacteristic
945#388C22×C5911yescharacteristic
946#388C22×C5911yescharacteristic
947#388C22×C5911yescharacteristic
948#388C22×C5911yescharacteristic
949#388C22×C5911yescharacteristic
950#388C22×C5911yescharacteristic
951#388C22×C5911yescharacteristic
952#388C22×C5911yescharacteristic
953#388C22×C5911yescharacteristic
954#388C22×C5911yescharacteristic
955#388C22×C5911yescharacteristic
956#388C22×C5911yescharacteristic
957#387C22×C5911yescharacteristic
958#387C22×C5911yescharacteristic
959#387C22×C5911yescharacteristic
960#387C22×C5911yescharacteristic
961#387C22×C5911yescharacteristic
962#387C22×C5911yescharacteristic
963#386C22×C5911yescharacteristic
964#386C22×C5911yescharacteristic
965#386C22×C5911yescharacteristic
966#386C22×C5911yescharacteristic
967#386C22×C5911yescharacteristic
968#386C22×C5911yescharacteristic
969#386C22×C5911yescharacteristic
970#386C22×C5911yescharacteristic
971#386C22×C5911yescharacteristic
972#386C22×C5911yescharacteristic
973#386C22×C5911yescharacteristic
974#386C22×C5911yescharacteristic
975#386C22×C5911yescharacteristic
976#386C22×C5911yescharacteristic
977#386C22×C5911yescharacteristic
978#386C22×C5911yescharacteristic
979#386C22×C5911yescharacteristic
980#385C22×C5911yescharacteristic
981#385C22×C5911yescharacteristic
982#385C22×C5911yescharacteristic
983#385C22×C5911yescharacteristic
984#385C22×C5911yescharacteristic
985#385C22×C5911yescharacteristic
986#385C22×C5911yescharacteristic
987#385C22×C5911yescharacteristic
988#385C22×C5911yescharacteristic
989#382C22×C5911yescharacteristic
990#381C22×C5911yescharacteristic
991#380C22×C5911yescharacteristic
992#380C22×C5911yescharacteristic
993#380C22×C5911yescharacteristic
994#380C22×C5911yescharacteristic
995#380C22×C5911yescharacteristic
996#380C22×C5911yescharacteristic
997C4×C4⋊C4C22×C5911yescharacteristic
998C4×C22⋊C4C22×C5911yescharacteristic
999C4×C22⋊C4C22×C5911yescharacteristic
1000#376C22×C5911yescharacteristic
1001C59#3674611yescharacteristic, direct product factor, Sylow
1002C22×Q8C23×C5911yescharacteristic
1003C22×D4C23×C5911yescharacteristic
1004C22×D4C23×C5911yescharacteristic
1005C22×D4C23×C5911yescharacteristic
1006C22×D4C23×C5911yescharacteristic
1007C22×D4C23×C5911yescharacteristic
1008C22×D4C23×C5911yescharacteristic
1009C22×D4C23×C5911yescharacteristic
1010C22×D4C23×C5911yescharacteristic
1011C22×D4C23×C5911yescharacteristic
1012C22×D4C23×C5911yescharacteristic
1013C22×D4C23×C5911yescharacteristic
1014C22×D4C23×C5911yescharacteristic
1015C22×D4C23×C5911yescharacteristic
1016C22×D4C23×C5911yescharacteristic
1017C22×D4C23×C5911yescharacteristic
1018C23×C4C23×C5911yescharacteristic
1019C23×C4C23×C5911yescharacteristic
1020C23×C4C23×C5911yescharacteristic
1021C23×C4C23×C5911yescharacteristic
1022C23×C4C23×C5911yescharacteristic
1023C23×C4C23×C5911yescharacteristic
1024C23×C4C23×C5911yescharacteristic
1025C23×C4C23×C5911yescharacteristic
1026C23×C4C23×C5911yescharacteristic
1027C23×C4C23×C5911yescharacteristic
1028#127—24no—
1029#126—24no—
1030#126—24no—
1031#125—24no—
1032#125—24no—
1033#125—24no—
1034#124—42no—
1035#123—24no—
1036#123—24no—
1037#123—24no—
1038#123—24no—
1039#123—24no—
1040#123—24no—
1041#123—24no—
1042#123—24no—
1043#123—42no—
1044C22⋊Q8—24no—
1045C22⋊Q8—24no—
1046C22⋊Q8—24no—
1047#121—24no—
1048#121—24no—
1049#121—24no—
1050#121—24no—
1051#121—24no—
1052#121—24no—
1053#121—24no—
1054#121—42no—
1055#121—42no—
1056C4×D4—24no—
1057C4×D4—24no—
1058C4×D4D4×C5918yescomplemented
1059#117—24no—
1060#117—42no—
1061C2×C4⋊C4—24no—
1062C2×C4⋊C4C23×C5911yescharacteristic
1063C2×C4⋊C4C23×C5911yescharacteristic
1064C2×C4⋊C4C23×C5911yescharacteristic
1065C2×C4⋊C4C23×C5911yescharacteristic
1066C2×C4⋊C4C23×C5911yescharacteristic
1067C2×C4⋊C4C23×C5911yescharacteristic
1068C2×C4⋊C4C23×C5911yescharacteristic
1069C2×C4⋊C4C23×C5911yescharacteristic
1070C2×C4⋊C4C23×C5911yescharacteristic
1071C2×C4⋊C4C23×C5911yescharacteristic
1072C2×C4⋊C4C23×C5911yescharacteristic
1073C2×C4⋊C4C23×C5911yescharacteristic
1074C2×C4⋊C4C23×C5911yescharacteristic
1075C2×C4⋊C4C23×C5911yescharacteristic
1076C2×C4⋊C4C23×C5911yescharacteristic
1077C2×C4⋊C4C23×C5911yescharacteristic
1078C2×C4⋊C4C23×C5911yescharacteristic
1079C2×C4⋊C4C23×C5911yescharacteristic
1080C2×C4⋊C4C23×C5911yescharacteristic
1081C2×C4⋊C4C23×C5911yescharacteristic
1082C2×C4⋊C4C23×C5911yescharacteristic
1083C2×C4⋊C4C23×C5911yescharacteristic
1084C2×C4⋊C4C23×C5911yescharacteristic
1085C2×C4⋊C4C23×C5911yescharacteristic
1086C2×C4⋊C4C23×C5911yescharacteristic
1087C2×C4⋊C4C23×C5911yescharacteristic
1088C2×C4⋊C4C23×C5911yescharacteristic
1089C2×C4⋊C4C23×C5911yescharacteristic
1090C2×C4⋊C4C23×C5911yescharacteristic
1091C2×C4⋊C4C23×C5911yescharacteristic
1092C2×C4⋊C4C23×C5911yescharacteristic
1093C2×C4⋊C4C23×C5911yescharacteristic
1094C2×C4⋊C4C23×C5911yescharacteristic
1095C2×C4⋊C4C23×C5911yescharacteristic
1096C2×C22⋊C4C23×C5911yescharacteristic
1097C2×C22⋊C4C23×C5911yescharacteristic
1098C2×C22⋊C4C23×C5911yescharacteristic
1099C2×C22⋊C4C23×C5911yescharacteristic
1100C2×C22⋊C4C23×C5911yescharacteristic
1101C2×C22⋊C4C23×C5911yescharacteristic
1102C2×C22⋊C4C23×C5911yescharacteristic
1103C2×C22⋊C4C23×C5911yescharacteristic
1104C2×C22⋊C4C23×C5911yescharacteristic
1105C2×C22⋊C4C23×C5911yescharacteristic
1106C2×C22⋊C4C23×C5911yescharacteristic
1107C2×C22⋊C4C23×C5911yescharacteristic
1108C2×C22⋊C4C23×C5911yescharacteristic
1109C2×C22⋊C4C23×C5911yescharacteristic
1110C2×C22⋊C4C23×C5911yescharacteristic
1111C2×C22⋊C4C23×C5911yescharacteristic
1112C2×C22⋊C4C23×C5911yescharacteristic
1113C2×C22⋊C4C23×C5911yescharacteristic
1114C2×C22⋊C4C23×C5911yescharacteristic
1115C2×C22⋊C4C23×C5911yescharacteristic
1116C2×C22⋊C4C23×C5911yescharacteristic
1117C2×C22⋊C4C23×C5911yescharacteristic
1118C2×C22⋊C4C23×C5911yescharacteristic
1119C2×C22⋊C4C23×C5911yescharacteristic
1120C2×C22⋊C4C23×C5911yescharacteristic
1121C2×C22⋊C4C23×C5911yescharacteristic
1122C2×C22⋊C4C23×C5911yescharacteristic
1123C2×C22⋊C4C23×C5911yescharacteristic
1124C2×C22⋊C4C23×C5911yescharacteristic
1125C2×C22⋊C4C23×C5911yescharacteristic
1126C2×C22⋊C4C23×C5911yescharacteristic
1127C2×C22⋊C4C23×C5911yescharacteristic
1128C2×C22⋊C4C23×C5911yescharacteristic
1129C2×C22⋊C4C23×C5911yescharacteristic
1130C2×C22⋊C4C23×C5911yescharacteristic
1131C2×C22⋊C4C23×C5911yescharacteristic
1132C2×C22⋊C4C23×C5911yescharacteristic
1133C2×C22⋊C4C23×C5911yescharacteristic
1134C2×C22⋊C4C23×C5911yescharacteristic
1135C2×C22⋊C4C23×C5911yescharacteristic
1136C2×C22⋊C4C23×C5911yescharacteristic
1137C2×C22⋊C4C23×C5911yescharacteristic
1138C2×C22⋊C4C23×C5911yescharacteristic
1139C2×C22⋊C4C23×C5911yescharacteristic
1140C2×C22⋊C4C23×C5911yescharacteristic
1141C2×C22⋊C4C23×C5911yescharacteristic
1142C2×C22⋊C4C23×C5911yescharacteristic
1143C2×C22⋊C4C23×C5911yescharacteristic
1144C2×C22⋊C4C23×C5911yescharacteristic
1145C2×C22⋊C4C23×C5911yescharacteristic
1146C2×C42—42no—
1147C2×C42C23×C5911yescharacteristic
1148C2×C42C23×C5911yescharacteristic
1149C2×C42C23×C5911yescharacteristic
1150C2×C42C23×C5911yescharacteristic
1151C2×C42C23×C5911yescharacteristic
1152C2×C42C23×C5911yescharacteristic
1153C2×C42C23×C5911yescharacteristic
1154C2×C42C23×C5911yescharacteristic
1155C2×C42C23×C5911yescharacteristic
1156#95C23×C5911yescharacteristic
1157#95C23×C5911yescharacteristic
1158#95C23×C5911yescharacteristic
1159#95C23×C5911yescharacteristic
1160#95C23×C5911yescharacteristic
1161#95C23×C5911yescharacteristic
1162#95C23×C5911yescharacteristic
1163#95C23×C5911yescharacteristic
1164#95C23×C5911yescharacteristic
1165#95C23×C5911yescharacteristic
1166#95C23×C5911yescharacteristic
1167#95C23×C5911yescharacteristic
1168#95C23×C5911yescharacteristic
1169#95C23×C5911yescharacteristic
1170#95C23×C5911yescharacteristic
1171#95C23×C5911yescharacteristic
1172#95C23×C5911yescharacteristic
1173#95C23×C5911yescharacteristic
1174#95C23×C5911yescharacteristic
1175#95C23×C5911yescharacteristic
1176#95C23×C5911yescharacteristic
1177#95C23×C5911yescharacteristic
1178#95C23×C5911yescharacteristic
1179#95C23×C5911yescharacteristic
1180#95C23×C5911yescharacteristic
1181#95C23×C5911yescharacteristic
1182#95C23×C5911yescharacteristic
1183#95C23×C5911yescharacteristic
1184#95C23×C5911yescharacteristic
1185#95C23×C5911yescharacteristic
1186#95C23×C5911yescharacteristic
1187#95C23×C5911yescharacteristic
1188#95C23×C5911yescharacteristic
1189#95C23×C5911yescharacteristic
1190#95C23×C5911yescharacteristic
1191#95C23×C5911yescharacteristic
1192C24C24×C5911yescharacteristic
1193C24C24×C5911yescharacteristic
1194C24C24×C5911yescharacteristic
1195C24C24×C5911yescharacteristic
1196C24C24×C5911yescharacteristic
1197C24C24×C5911yescharacteristic
1198C2×Q8—22no—
1199C2×Q8—41no—
1200C2×Q8—41no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4C2×D4×C5914yes—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4C2×D4×C5914yes—
1275C22×C4C2×D4×C5914yes—
1276C22×C4C24×C5911yescharacteristic
1277C22×C4C24×C5911yescharacteristic
1278C22×C4C24×C5911yescharacteristic
1279C22×C4C24×C5911yescharacteristic
1280C22×C4C24×C5911yescharacteristic
1281C22×C4C24×C5911yescharacteristic
1282C22×C4C24×C5911yescharacteristic
1283C22×C4C24×C5911yescharacteristic
1284C22×C4C24×C5911yescharacteristic
1285C22×C4C24×C5911yescharacteristic
1286C22×C4C24×C5911yescharacteristic
1287C22×C4C24×C5911yescharacteristic
1288C22×C4C24×C5911yescharacteristic
1289C22×C4C24×C5911yescharacteristic
1290C22×C4C24×C5911yescharacteristic
1291C22×C4C24×C5911yescharacteristic
1292C22×C4C24×C5911yescharacteristic
1293C22×C4C24×C5911yescharacteristic
1294C22×C4C24×C5911yescharacteristic
1295C22×C4C24×C5911yescharacteristic
1296C22×C4C24×C5911yescharacteristic
1297C22×C4C24×C5911yescharacteristic
1298C22×C4C24×C5911yescharacteristic
1299C22×C4C24×C5911yescharacteristic
1300C22×C4C24×C5911yescharacteristic
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C4⋊C4—41no—
1333C4⋊C4—41no—
1334C4⋊C4C2×D4×C5914yes—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—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⋊C4C2×D4×C5914yes—
1384C22⋊C4C2×D4×C5914yes—
1385C42—22no—
1386C42—22no—
1387C42—22no—
1388C42—22no—
1389C42—41no—
1390C42—41no—
1391C42—41no—
1392C42—41no—
1393C42C2×D4×C5914yes—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23C22×D4×C5912yes—
1435C23C22×D4×C5912yes—
1436C23C25×C5911yescharacteristic
1437Q8—82no—
1438D4—44no—
1439D4—44no—
1440D4—44no—
1441D4—82no—
1442D4—82no—
1443D4—82no—
1444D4—82no—
1445D4—82no—
1446D4—82no—
1447D4—82no—
1448D4—82no—
1449D4—82no—
1450D4—82no—
1451D4—82no—
1452D4—82no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—44no—
1528C2×C4—82no—
1529C2×C4—82no—
1530C2×C4—82no—
1531C2×C4—82no—
1532C2×C4C22×D4×C5912yes—
1533C2×C4C22×D4×C5912yes—
1534C2×C4C22×D4×C5912yes—
1535C2×C4C22×D4×C5912yes—
1536C2×C4C22×D4×C5912yes—
1537C2×C4H(5,𝔽2)×C5912yes—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22C23×D4×C5911yescharacteristic
1581C22C2×H(5,𝔽2)×C5911yescharacteristic
1582C22C59×#58511yescharacteristic
1583C22C59×#58511yescharacteristic
1584C22C59×#58511yescharacteristic
1585C22C59×#58511yescharacteristic
1586C22C59×#58511yescharacteristic
1587C4—22no—
1588C4—22no—
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C2—42no—
1613C2—42no—
1614C2—81no—
1615C2—81no—
1616C2—81no—
1617C2—81no—
1618C2C59×#344911yescharacteristic
1619C2C59×#349611yescharacteristic
1620C2C59×#350011yescharacteristic
1621C2C59×#353311yescharacteristic
1622C2C59×#353911yescharacteristic
1623C2C59×#356611yescharacteristic
1624C2C59×#356711yescharacteristic
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×#540C2semidirect
2. C2×C59×#539C2semidirect
3. C59×#2854C2semidirect
4. C59×#2850C2semidirect
5. C59×#2719C2semidirect
6. C59×#2711C2semidirect
7. C59×#2709C2semidirect
8. C59×#2708C2semidirect
9. C59×#2706C2semidirect
10. C59×#2703C2semidirect
11. C59×#2695C2semidirect
12. C59×#2693C2semidirect
13. C59×#2691C2semidirect
14. C59×#2690C2semidirect
15. C59×#2688C2semidirect
16. C59×#2687C2semidirect
17. C59×#2676C2semidirect
18. C59×#2673C2semidirect
19. C59×#2672C2semidirect
20. C59×#2671C2semidirect
21. C59×#2663C2semidirect
22. C59×#2661C2semidirect
23. C59×#2611C2semidirect
24. C59×#2603C2semidirect
25. C59×#2602C2semidirect
26. C59×#2601C2semidirect
27. C59×#2591C2semidirect
28. C59×#2562C2semidirect
29. C59×#2414C2semidirect
30. C59×#2413C2semidirect
31. C59×#2290C2semidirect
245. C4×D4×C59D4semidirect
725. #36746C59direct (N × H)
800. C2×#540C2×C59semidirect
801. C2×#539C2×C59semidirect
802. #2854C2×C59semidirect
803. #2850C2×C59semidirect
804. #2719C2×C59semidirect
805. #2711C2×C59semidirect
806. #2709C2×C59semidirect
807. #2708C2×C59semidirect
808. #2706C2×C59semidirect
809. #2703C2×C59semidirect
810. #2695C2×C59semidirect
811. #2693C2×C59semidirect
812. #2691C2×C59semidirect
813. #2690C2×C59semidirect
814. #2688C2×C59semidirect
815. #2687C2×C59semidirect
816. #2676C2×C59semidirect
817. #2673C2×C59semidirect
818. #2672C2×C59semidirect
819. #2671C2×C59semidirect
820. #2663C2×C59semidirect
821. #2661C2×C59semidirect
822. #2611C2×C59semidirect
823. #2603C2×C59semidirect
824. #2602C2×C59semidirect
825. #2601C2×C59semidirect
826. #2591C2×C59semidirect
827. #2562C2×C59semidirect
828. #2414C2×C59semidirect
829. #2413C2×C59semidirect
830. #2290C2×C59semidirect
1001. C59#36746direct (N × H)
1058. C4×D4D4×C59semidirect

Maximal subgroups

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

subgroupindex
C2×C59×#5402
C2×C59×#5392
C59×#28542
C59×#28502
C59×#27192
C59×#27112
C59×#27092
C59×#27082
C59×#27062
C59×#27032
C59×#26952
C59×#26932
C59×#26912
C59×#26902
C59×#26882
C59×#26872
C59×#26762
C59×#26732
C59×#26722
C59×#26712
C59×#26632
C59×#26612
C59×#26112
C59×#26032
C59×#26022
C59×#26012
C59×#25912
C59×#25622
C59×#24142
C59×#24132
C59×#22902
#3674659