Finite Group Databasebeta

← C59×#35392 #28447501

Subgroups — C59×#35392 #28447501

Order 15104.

2928 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C59×#538C211yesmaximal, characteristic, complemented
2C2×C59×#525C211yesmaximal, characteristic, complemented
3C59×#2610C211yesmaximal, characteristic, complemented
4C59×#2603C211yesmaximal, characteristic, complemented
5C59×#2602C211yesmaximal, characteristic, complemented
6C59×#2601C211yesmaximal, characteristic, complemented
7C59×#2560C211yesmaximal, characteristic, complemented
8C59×#2557C211yesmaximal, characteristic, complemented
9C59×#2555C211yesmaximal, characteristic, complemented
10C59×#2554C211yesmaximal, characteristic, complemented
11C59×#2549C211yesmaximal, characteristic, complemented
12C59×#2544C211yesmaximal, characteristic, complemented
13C59×#2543C211yesmaximal, characteristic, complemented
14C59×#2543C211yesmaximal, characteristic, complemented
15C59×#2472C211yesmaximal, characteristic, complemented
16C59×#2472C211yesmaximal, characteristic, complemented
17C59×#2464C211yesmaximal, characteristic, complemented
18C59×#2461C211yesmaximal, characteristic, complemented
19C59×#2445C211yesmaximal, characteristic, complemented
20C59×#2433C211yesmaximal, characteristic, complemented
21C59×#2431C211yesmaximal, characteristic, complemented
22C59×#2430C211yesmaximal, characteristic, complemented
23C59×#2428C211yesmaximal, characteristic, complemented
24C59×#2424C211yesmaximal, characteristic, complemented
25C59×#2424C211yesmaximal, characteristic, complemented
26C59×#2408C211yesmaximal, characteristic, complemented
27C59×#2325C211yesmaximal, characteristic, complemented
28C59×#2321C211yesmaximal, characteristic, complemented
29C4×#120×C59C211yesmaximal, characteristic, complemented
30C2×C59×#386C211yesmaximal, characteristic, complemented
31C59×#2275C211yesmaximal, characteristic, complemented
32C22×#41×C59C2211yescharacteristic, complemented
33C23×D4×C59C2211yescharacteristic
34C24×C4×C59C2211yescharacteristic
35C59×#538—28no—
36C2×#127×C59C2211yescharacteristic
37C2×#127×C59C2211yescharacteristic
38C2×#126×C59C2211yescharacteristic, complemented
39C2×#126×C59C2211yescharacteristic, complemented
40C2×#124×C59C2211yescharacteristic, complemented
41C2×#124×C59C2211yescharacteristic, complemented
42C2×#124×C59C2211yescharacteristic, complemented
43C2×#124×C59C2211yescharacteristic, complemented
44C59×#525—28no—
45C2×#123×C59C2211yescharacteristic, complemented
46C2×#123×C59C2211yescharacteristic, complemented
47C2×#123×C59C2211yescharacteristic, complemented
48C2×#123×C59C2211yescharacteristic, complemented
49C2×C22⋊Q8×C59C2211yescharacteristic
50C2×C22⋊Q8×C59C2211yescharacteristic
51C2×C22⋊Q8×C59C2211yescharacteristic, complemented
52C2×#121×C59C2211yescharacteristic
53C2×#121×C59C2211yescharacteristic
54C2×#121×C59C2211yescharacteristic
55C2×#121×C59C2211yescharacteristic
56C2×#121×C59C2211yescharacteristic
57C2×#121×C59C2211yescharacteristic, complemented
58C2×#121×C59C2211yescharacteristic, complemented
59C2×#121×C59C2211yescharacteristic, complemented
60C2×#121×C59C2211yescharacteristic, complemented
61C2×#121×C59C2211yescharacteristic, complemented
62C2×#120×C59C2211yescharacteristic
63C2×#120×C59C2211yescharacteristic
64C2×#120×C59C2211yescharacteristic
65C2×#120×C59C2211yescharacteristic
66C2×#120×C59C2211yescharacteristic
67C2×#120×C59C2211yescharacteristic
68C2×C4×D4×C59C2211yescharacteristic
69C2×C4×D4×C59C2211yescharacteristic
70C2×C4×D4×C59C2211yescharacteristic
71C2×C4×D4×C59C2211yescharacteristic
72C2×C4×D4×C59C2211yescharacteristic
73C2×C4×D4×C59C2211yescharacteristic, complemented
74C2×C4×D4×C59C2211yescharacteristic, complemented
75C2×C4×D4×C59C2211yescharacteristic, complemented
76C2×C4×D4×C59C2211yescharacteristic, complemented
77C2×#117×C59C2211yescharacteristic, complemented
78C22×C22⋊C4×C59C2211yescharacteristic
79C22×C22⋊C4×C59C2211yescharacteristic
80C22×C22⋊C4×C59C2211yescharacteristic
81C59×#398C2211yescharacteristic, complemented
82C59×#398C2211yescharacteristic, complemented
83C59×#398C2211yescharacteristic, complemented
84C59×#397C2211yescharacteristic, complemented
85C59×#397C2211yescharacteristic, complemented
86C59×#397C2211yescharacteristic, complemented
87C59×#396C2211yescharacteristic, complemented
88C59×#396C2211yescharacteristic, complemented
89C59×#395C2211yescharacteristic, complemented
90C59×#395C2211yescharacteristic, complemented
91C59×#394C2211yescharacteristic
92C59×#394C2211yescharacteristic
93C59×#394C2211yescharacteristic, complemented
94C59×#394C2211yescharacteristic, complemented
95C59×#394C2211yescharacteristic, complemented
96C59×#394C2211yescharacteristic, complemented
97C59×#394C2211yescharacteristic, complemented
98C59×#394C2211yescharacteristic, complemented
99C59×#394C2211yescharacteristic, complemented
100C59×#394C2211yescharacteristic, complemented
101C59×#394C2211yescharacteristic, complemented
102C59×#393C2211yescharacteristic, complemented
103C59×#393C2211yescharacteristic, complemented
104C59×#392C2211yescharacteristic
105C59×#392C2211yescharacteristic
106C59×#392C2211yescharacteristic
107C59×#392C2211yescharacteristic
108C59×#392C2211yescharacteristic
109C59×#392C2211yescharacteristic
110C59×#392C2211yescharacteristic, complemented
111C59×#392C2211yescharacteristic, complemented
112C59×#392C2211yescharacteristic, complemented
113C59×#391C2211yescharacteristic, complemented
114C59×#391C2211yescharacteristic, complemented
115C59×#390C2211yescharacteristic
116C59×#390C2211yescharacteristic
117C59×#390C2211yescharacteristic
118C59×#390C2211yescharacteristic
119C59×#390C2211yescharacteristic, complemented
120C59×#390C2211yescharacteristic, complemented
121C59×#390C2211yescharacteristic, complemented
122C59×#390C2211yescharacteristic, complemented
123C59×#390C2211yescharacteristic, complemented
124C59×#390C2211yescharacteristic, complemented
125C59×#389C2211yescharacteristic, complemented
126C59×#389C2211yescharacteristic, complemented
127C59×#388C2211yescharacteristic, complemented
128C59×#388C2211yescharacteristic, complemented
129C59×#388C2211yescharacteristic, complemented
130C59×#388C2211yescharacteristic, complemented
131C59×#388C2211yescharacteristic, complemented
132C59×#388C2211yescharacteristic, complemented
133C59×#388C2211yescharacteristic, complemented
134C59×#388C2211yescharacteristic, complemented
135C59×#388C2211yescharacteristic, complemented
136C59×#388C2211yescharacteristic, complemented
137C59×#388C2211yescharacteristic, complemented
138C59×#388C2211yescharacteristic, complemented
139C59×#388C2211yescharacteristic, complemented
140C59×#388C2211yescharacteristic, complemented
141C59×#387C2211yescharacteristic, complemented
142C59×#387C2211yescharacteristic, complemented
143C59×#386C2211yescharacteristic
144C59×#386C2211yescharacteristic
145C59×#386C2211yescharacteristic
146C59×#386C2211yescharacteristic
147C59×#386C2211yescharacteristic
148C59×#386C2211yescharacteristic
149C59×#386C2211yescharacteristic
150C59×#386C2211yescharacteristic
151C59×#386C2211yescharacteristic
152C59×#386C2211yescharacteristic
153C59×#386C2211yescharacteristic
154C59×#386C2211yescharacteristic
155C59×#386C2211yescharacteristic, complemented
156C59×#386C2211yescharacteristic, complemented
157C59×#386C2211yescharacteristic, complemented
158C59×#386C2211yescharacteristic, complemented
159C59×#386C2211yescharacteristic, complemented
160C59×#386C2211yescharacteristic, complemented
161C59×#386C2211yescharacteristic, complemented
162C59×#386C2211yescharacteristic, complemented
163C59×#386C2211yescharacteristic, complemented
164C59×#386C2211yescharacteristic, complemented
165C59×#385C2211yescharacteristic
166C59×#385C2211yescharacteristic
167C59×#385C2211yescharacteristic, complemented
168C59×#385C2211yescharacteristic, complemented
169C59×#385C2211yescharacteristic, complemented
170C59×#385C2211yescharacteristic, complemented
171C59×#380C2211yescharacteristic
172C59×#379C2211yescharacteristic
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, complemented
181C4×C22⋊C4×C59C2211yescharacteristic, complemented
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
190C25×C59C2311yescharacteristic
191C2×#41×C59—24no—
192C2×#41×C59—42no—
193C2×#41×C59—42no—
194C22×Q8×C59C2311yescharacteristic
195C22×Q8×C59C2311yescharacteristic
196C22×D4×C59—24no—
197C22×D4×C59—42no—
198C22×D4×C59—42no—
199C22×D4×C59C2311yescharacteristic
200C22×D4×C59C2311yescharacteristic
201C22×D4×C59C2311yescharacteristic
202C22×D4×C59C2311yescharacteristic
203C22×D4×C59C2311yescharacteristic
204C22×D4×C59C2311yescharacteristic
205C22×D4×C59C2311yescharacteristic
206C22×D4×C59C2311yescharacteristic
207C22×D4×C59C2311yescharacteristic
208C22×D4×C59C2311yescharacteristic
209C22×D4×C59C2311yescharacteristic
210C22×D4×C59C2311yescharacteristic
211C22×D4×C59C2311yescharacteristic
212C22×D4×C59C2311yescharacteristic
213C22×D4×C59C2311yescharacteristic
214C22×D4×C59C2311yescharacteristic
215C22×D4×C59C2311yescharacteristic
216C22×D4×C59C2311yescharacteristic
217C22×D4×C59C2311yescharacteristic
218C22×D4×C59C2311yescharacteristic
219C22×D4×C59C2311yescharacteristic
220C22×D4×C59C2311yescharacteristic
221C23×C4×C59—24no—
222C23×C4×C59—42no—
223C23×C4×C59—42no—
224C23×C4×C59C2311yescharacteristic
225C23×C4×C59C2311yescharacteristic
226C23×C4×C59C2311yescharacteristic
227C23×C4×C59C2311yescharacteristic
228C23×C4×C59C2311yescharacteristic
229C23×C4×C59C2311yescharacteristic
230C23×C4×C59C2311yescharacteristic
231C23×C4×C59C2311yescharacteristic
232C23×C4×C59C2311yescharacteristic
233C23×C4×C59C2311yescharacteristic
234C23×C4×C59C2311yescharacteristic
235C23×C4×C59C2311yescharacteristic
236C23×C4×C59C2311yescharacteristic
237C23×C4×C59C2311yescharacteristic
238#127×C59—42no—
239#127×C59—42no—
240#126×C59—24no—
241#126×C59—24no—
242#124×C59—24no—
243#124×C59—24no—
244#124×C59—42no—
245#124×C59—42no—
246#123×C59—24no—
247#123×C59—24no—
248#123×C59—24no—
249#123×C59—24no—
250C22⋊Q8×C59—24no—
251C22⋊Q8×C59—24no—
252C22⋊Q8×C59—24no—
253#121×C59—24no—
254#121×C59—24no—
255#121×C59—24no—
256#121×C59—24no—
257#121×C59—24no—
258#121×C59—24no—
259#121×C59—42no—
260#121×C59—42no—
261#121×C59—42no—
262#121×C59—42no—
263#120×C59—24no—
264#120×C59—24no—
265#120×C59—24no—
266#120×C59—24no—
267#120×C59—24no—
268#120×C59—24no—
269C4×D4×C59—24no—
270C4×D4×C59—24no—
271C4×D4×C59—24no—
272C4×D4×C59—24no—
273C4×D4×C59—24no—
274C4×D4×C59—24no—
275C4×D4×C59—42no—
276C4×D4×C59—42no—
277C4×D4×C59D418yescomplemented
278#117×C59—24no—
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×C4⋊C4×C59C2311yescharacteristic
299C2×C22⋊C4×C59—24no—
300C2×C22⋊C4×C59—42no—
301C2×C22⋊C4×C59—42no—
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×C22⋊C4×C59C2311yescharacteristic
349C2×C22⋊C4×C59C2311yescharacteristic
350C2×C22⋊C4×C59C2311yescharacteristic
351C2×C22⋊C4×C59C2311yescharacteristic
352C2×C22⋊C4×C59C2311yescharacteristic
353C2×C22⋊C4×C59C2311yescharacteristic
354C2×C22⋊C4×C59C2311yescharacteristic
355C2×C22⋊C4×C59C2311yescharacteristic
356C2×C22⋊C4×C59C2311yescharacteristic
357C2×C22⋊C4×C59C2311yescharacteristic
358C2×C42×C59C2311yescharacteristic
359C2×C42×C59C2311yescharacteristic
360C2×C42×C59C2311yescharacteristic
361C2×C42×C59C2311yescharacteristic
362C2×C42×C59C2311yescharacteristic
363C2×C42×C59C2311yescharacteristic
364C2×C42×C59C2311yescharacteristic
365C2×C42×C59C2311yescharacteristic
366C2×C42×C59C2311yescharacteristic
367C2×C42×C59C2311yescharacteristic
368C2×C42×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
391#95×C59C2311yescharacteristic
392#95×C59C2311yescharacteristic
393#95×C59C2311yescharacteristic
394#95×C59C2311yescharacteristic
395#95×C59C2311yescharacteristic
396#95×C59C2311yescharacteristic
397C24×C59—22no—
398C24×C59—22no—
399C24×C59—22no—
400C24×C59—22no—
401C24×C59—22no—
402C24×C59—22no—
403C24×C59—22no—
404C24×C59—22no—
405C24×C59—41no—
406C24×C59—41no—
407C24×C59—41no—
408C24×C59—41no—
409C24×C59—41no—
410C24×C59—41no—
411C24×C59C2411yescharacteristic
412C24×C59C2411yescharacteristic
413C24×C59C2411yescharacteristic
414C24×C59C2411yescharacteristic
415C24×C59C2411yescharacteristic
416C24×C59C2411yescharacteristic
417C24×C59C2411yescharacteristic
418C24×C59C2411yescharacteristic
419#41×C59—416no—
420C2×Q8×C59—22no—
421C2×Q8×C59—22no—
422C2×Q8×C59—22no—
423C2×Q8×C59—41no—
424C2×Q8×C59—41no—
425C2×Q8×C59—41no—
426C2×D4×C59—22no—
427C2×D4×C59—22no—
428C2×D4×C59—22no—
429C2×D4×C59—22no—
430C2×D4×C59—22no—
431C2×D4×C59—22no—
432C2×D4×C59—22no—
433C2×D4×C59—22no—
434C2×D4×C59—22no—
435C2×D4×C59—22no—
436C2×D4×C59—22no—
437C2×D4×C59—22no—
438C2×D4×C59—22no—
439C2×D4×C59—22no—
440C2×D4×C59—22no—
441C2×D4×C59—22no—
442C2×D4×C59—22no—
443C2×D4×C59—22no—
444C2×D4×C59—22no—
445C2×D4×C59—22no—
446C2×D4×C59—22no—
447C2×D4×C59—22no—
448C2×D4×C59—22no—
449C2×D4×C59—22no—
450C2×D4×C59—22no—
451C2×D4×C59—22no—
452C2×D4×C59—22no—
453C2×D4×C59—22no—
454C2×D4×C59—22no—
455C2×D4×C59—22no—
456C2×D4×C59—22no—
457C2×D4×C59—22no—
458C2×D4×C59—22no—
459C2×D4×C59—22no—
460C2×D4×C59—22no—
461C2×D4×C59—22no—
462C2×D4×C59—22no—
463C2×D4×C59—22no—
464C2×D4×C59—41no—
465C2×D4×C59—41no—
466C2×D4×C59—41no—
467C2×D4×C59—41no—
468C2×D4×C59—41no—
469C2×D4×C59—41no—
470C2×D4×C59—41no—
471C2×D4×C59—41no—
472C2×D4×C59—41no—
473C2×D4×C59—41no—
474C2×D4×C59—41no—
475C2×D4×C59—41no—
476C2×D4×C59—41no—
477C2×D4×C59—41no—
478C2×D4×C59—41no—
479C2×D4×C59—41no—
480C2×D4×C59—41no—
481C2×D4×C59—41no—
482C2×D4×C59—41no—
483C2×D4×C59—41no—
484C2×D4×C59—41no—
485C2×D4×C59—41no—
486C2×D4×C59—41no—
487C2×D4×C59—41no—
488C2×D4×C59—41no—
489C2×D4×C59—41no—
490C2×D4×C59—41no—
491C2×D4×C59—416no—
492C2×D4×C59C2×D414yes—
493C22×C4×C59—22no—
494C22×C4×C59—22no—
495C22×C4×C59—22no—
496C22×C4×C59—22no—
497C22×C4×C59—22no—
498C22×C4×C59—22no—
499C22×C4×C59—22no—
500C22×C4×C59—22no—
501C22×C4×C59—22no—
502C22×C4×C59—22no—
503C22×C4×C59—22no—
504C22×C4×C59—22no—
505C22×C4×C59—22no—
506C22×C4×C59—22no—
507C22×C4×C59—22no—
508C22×C4×C59—22no—
509C22×C4×C59—41no—
510C22×C4×C59—41no—
511C22×C4×C59—41no—
512C22×C4×C59—41no—
513C22×C4×C59—41no—
514C22×C4×C59—41no—
515C22×C4×C59—41no—
516C22×C4×C59—41no—
517C22×C4×C59—41no—
518C22×C4×C59—41no—
519C22×C4×C59—41no—
520C22×C4×C59—41no—
521C22×C4×C59—41no—
522C22×C4×C59—41no—
523C22×C4×C59—41no—
524C22×C4×C59—41no—
525C22×C4×C59—41no—
526C22×C4×C59—41no—
527C22×C4×C59—41no—
528C22×C4×C59—41no—
529C22×C4×C59—41no—
530C22×C4×C59—41no—
531C22×C4×C59—41no—
532C22×C4×C59—416no—
533C22×C4×C59C2×D414yes—
534C22×C4×C59C2×D414yescomplemented
535C22×C4×C59#4114yescomplemented
536C22×C4×C59C2411yescharacteristic
537C22×C4×C59C2411yescharacteristic
538C22×C4×C59C2411yescharacteristic
539C22×C4×C59C2411yescharacteristic
540C22×C4×C59C2411yescharacteristic
541C22×C4×C59C2411yescharacteristic
542C22×C4×C59C2411yescharacteristic
543C22×C4×C59C2411yescharacteristic
544C22×C4×C59C2411yescharacteristic
545C22×C4×C59C2411yescharacteristic
546C22×C4×C59C2411yescharacteristic
547C22×C4×C59C2411yescharacteristic
548C22×C4×C59C2411yescharacteristic
549C22×C4×C59C2411yescharacteristic
550C22×C4×C59C2411yescharacteristic
551C22×C4×C59C2411yescharacteristic
552C22×C4×C59C2411yescharacteristic
553C22×C4×C59C2411yescharacteristic
554C22×C4×C59C2411yescharacteristic
555C22×C4×C59C2411yescharacteristic
556C22×C4×C59C2411yescharacteristic
557C22×C4×C59C2411yescharacteristic
558C22×C4×C59C2411yescharacteristic
559C4⋊C4×C59—22no—
560C4⋊C4×C59—22no—
561C4⋊C4×C59—22no—
562C4⋊C4×C59—22no—
563C4⋊C4×C59—22no—
564C4⋊C4×C59—22no—
565C4⋊C4×C59—22no—
566C4⋊C4×C59—22no—
567C4⋊C4×C59—22no—
568C4⋊C4×C59—22no—
569C4⋊C4×C59—22no—
570C4⋊C4×C59—22no—
571C4⋊C4×C59—22no—
572C4⋊C4×C59—22no—
573C4⋊C4×C59—41no—
574C4⋊C4×C59—41no—
575C4⋊C4×C59—41no—
576C4⋊C4×C59—41no—
577C4⋊C4×C59—41no—
578C4⋊C4×C59C2×D414yescomplemented
579C22⋊C4×C59—22no—
580C22⋊C4×C59—22no—
581C22⋊C4×C59—22no—
582C22⋊C4×C59—22no—
583C22⋊C4×C59—22no—
584C22⋊C4×C59—22no—
585C22⋊C4×C59—22no—
586C22⋊C4×C59—22no—
587C22⋊C4×C59—22no—
588C22⋊C4×C59—22no—
589C22⋊C4×C59—22no—
590C22⋊C4×C59—22no—
591C22⋊C4×C59—22no—
592C22⋊C4×C59—22no—
593C22⋊C4×C59—22no—
594C22⋊C4×C59—22no—
595C22⋊C4×C59—22no—
596C22⋊C4×C59—22no—
597C22⋊C4×C59—22no—
598C22⋊C4×C59—22no—
599C22⋊C4×C59—22no—
600C22⋊C4×C59—22no—
601C22⋊C4×C59—22no—
602C22⋊C4×C59—22no—
603C22⋊C4×C59—22no—
604C22⋊C4×C59—22no—
605C22⋊C4×C59—22no—
606C22⋊C4×C59—22no—
607C22⋊C4×C59—22no—
608C22⋊C4×C59—22no—
609C22⋊C4×C59—22no—
610C22⋊C4×C59—22no—
611C22⋊C4×C59—22no—
612C22⋊C4×C59—22no—
613C22⋊C4×C59—22no—
614C22⋊C4×C59—22no—
615C22⋊C4×C59—41no—
616C22⋊C4×C59—41no—
617C22⋊C4×C59—41no—
618C22⋊C4×C59—41no—
619C22⋊C4×C59—41no—
620C22⋊C4×C59—41no—
621C22⋊C4×C59—41no—
622C22⋊C4×C59—41no—
623C22⋊C4×C59—41no—
624C22⋊C4×C59—41no—
625C22⋊C4×C59—41no—
626C22⋊C4×C59—41no—
627C22⋊C4×C59—41no—
628C22⋊C4×C59—41no—
629C22⋊C4×C59—41no—
630C22⋊C4×C59—41no—
631C22⋊C4×C59—41no—
632C22⋊C4×C59C2×D414yes—
633C22⋊C4×C59C2×D414yescomplemented
634C22⋊C4×C59#4114yescomplemented
635C42×C59—22no—
636C42×C59—22no—
637C42×C59—22no—
638C42×C59—22no—
639C42×C59—41no—
640C42×C59—41no—
641C42×C59—41no—
642C42×C59—41no—
643C42×C59—41no—
644C42×C59—41no—
645C42×C59C2×D414yescomplemented
646C23×C59—21no—
647C23×C59—21no—
648C23×C59—21no—
649C23×C59—21no—
650C23×C59—28no—
651C23×C59—21no—
652C23×C59—21no—
653C23×C59—21no—
654C23×C59—21no—
655C23×C59—21no—
656C23×C59—21no—
657C23×C59—21no—
658C23×C59—21no—
659C23×C59—21no—
660C23×C59—21no—
661C23×C59—21no—
662C23×C59—21no—
663C23×C59—21no—
664C23×C59—21no—
665C23×C59—21no—
666C23×C59—21no—
667C23×C59—21no—
668C23×C59—21no—
669C23×C59—21no—
670C23×C59—21no—
671C23×C59—21no—
672C23×C59—21no—
673C23×C59—21no—
674C23×C59—21no—
675C23×C59—21no—
676C23×C59—21no—
677C23×C59—21no—
678C23×C59—21no—
679C23×C59—21no—
680C23×C59—21no—
681C23×C59—21no—
682C23×C59—21no—
683C23×C59—21no—
684C23×C59—21no—
685C23×C59—21no—
686C23×C59—21no—
687C23×C59—21no—
688C23×C59—21no—
689C23×C59—21no—
690C23×C59—21no—
691C23×C59—21no—
692C23×C59—21no—
693C23×C59—21no—
694C23×C59—21no—
695C23×C59—21no—
696C23×C59—21no—
697C23×C59—44no—
698C23×C59—44no—
699C23×C59—44no—
700C23×C59—44no—
701C23×C59—44no—
702C23×C59—44no—
703C23×C59—44no—
704C23×C59—44no—
705C23×C59—44no—
706C23×C59—82no—
707C23×C59—82no—
708C23×C59—82no—
709C23×C59—82no—
710C23×C59C22×D412yes—
711C23×C59C22×D412yes—
712C23×C59C2×#4112yes—
713C23×C59C2×#4112yes—
714C23×C59H(5,𝔽2)12yes—
715C23×C59H(5,𝔽2)12yes—
716C23×C59C2511yescharacteristic
717Q8×C59—44no—
718Q8×C59—82no—
719D4×C59—28no—
720D4×C59—44no—
721D4×C59—44no—
722D4×C59—44no—
723D4×C59—44no—
724D4×C59—44no—
725D4×C59—44no—
726D4×C59—44no—
727D4×C59—44no—
728D4×C59—44no—
729D4×C59—44no—
730D4×C59—44no—
731D4×C59—44no—
732D4×C59—44no—
733D4×C59—82no—
734D4×C59—82no—
735D4×C59—82no—
736D4×C59—82no—
737D4×C59—82no—
738D4×C59—82no—
739D4×C59—82no—
740D4×C59—82no—
741C2×C4×C59—28no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—21no—
760C2×C4×C59—21no—
761C2×C4×C59—21no—
762C2×C4×C59—21no—
763C2×C4×C59—21no—
764C2×C4×C59—21no—
765C2×C4×C59—21no—
766C2×C4×C59—21no—
767C2×C4×C59—21no—
768C2×C4×C59—21no—
769C2×C4×C59—21no—
770C2×C4×C59—21no—
771C2×C4×C59—21no—
772C2×C4×C59—21no—
773C2×C4×C59—21no—
774C2×C4×C59—21no—
775C2×C4×C59—21no—
776C2×C4×C59—21no—
777C2×C4×C59—21no—
778C2×C4×C59—21no—
779C2×C4×C59—21no—
780C2×C4×C59—21no—
781C2×C4×C59—21no—
782C2×C4×C59—21no—
783C2×C4×C59—21no—
784C2×C4×C59—21no—
785C2×C4×C59—21no—
786C2×C4×C59—21no—
787C2×C4×C59—21no—
788C2×C4×C59—21no—
789C2×C4×C59—21no—
790C2×C4×C59—21no—
791C2×C4×C59—21no—
792C2×C4×C59—21no—
793C2×C4×C59—21no—
794C2×C4×C59—21no—
795C2×C4×C59—21no—
796C2×C4×C59—21no—
797C2×C4×C59—21no—
798C2×C4×C59—21no—
799C2×C4×C59—21no—
800C2×C4×C59—21no—
801C2×C4×C59—44no—
802C2×C4×C59—44no—
803C2×C4×C59—44no—
804C2×C4×C59—44no—
805C2×C4×C59—44no—
806C2×C4×C59—44no—
807C2×C4×C59—44no—
808C2×C4×C59—44no—
809C2×C4×C59—82no—
810C2×C4×C59—82no—
811C2×C4×C59—82no—
812C2×C4×C59—82no—
813C2×C4×C59—82no—
814C2×C4×C59C22×D412yes—
815C2×C4×C59C22×D412yes—
816C2×C4×C59C22×D412yes—
817C2×C4×C59C22×D412yes—
818C2×C4×C59C22×D412yes—
819C2×C4×C59C2×#4112yes—
820C2×C4×C59C2×#4112yes—
821C2×C4×C59C2×#4112yes—
822C2×C4×C59C2×#4112yes—
823C2×C4×C59H(5,𝔽2)12yes—
824#35392C5911yesmaximal, characteristic, direct product factor, Sylow
825C22×C59—22no—
826C22×C59—22no—
827C22×C59—22no—
828C22×C59—22no—
829C22×C59—22no—
830C22×C59—22no—
831C22×C59—22no—
832C22×C59—22no—
833C22×C59—22no—
834C22×C59—22no—
835C22×C59—22no—
836C22×C59—22no—
837C22×C59—22no—
838C22×C59—22no—
839C22×C59—22no—
840C22×C59—416no—
841C22×C59—41no—
842C22×C59—41no—
843C22×C59—41no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—41no—
854C22×C59—41no—
855C22×C59—41no—
856C22×C59—41no—
857C22×C59—41no—
858C22×C59—41no—
859C22×C59—41no—
860C22×C59—41no—
861C22×C59—41no—
862C22×C59—41no—
863C22×C59—41no—
864C22×C59—41no—
865C22×C59—41no—
866C22×C59—41no—
867C22×C59—41no—
868C22×C59—41no—
869C22×C59—41no—
870C22×C59—41no—
871C22×C59—41no—
872C22×C59—41no—
873C22×C59—41no—
874C22×C59—41no—
875C22×C59—41no—
876C22×C59—41no—
877C22×C59—41no—
878C22×C59—41no—
879C22×C59—41no—
880C22×C59—41no—
881C22×C59—88no—
882C22×C59#53214yes—
883C22×C59C23×D411yescharacteristic
884C22×C59C22×#4111yescharacteristic
885C22×C59C22×#4111yescharacteristic
886C22×C59C2×H(5,𝔽2)11yescharacteristic
887C22×C59C2×H(5,𝔽2)11yescharacteristic
888C22×C59C2×H(5,𝔽2)11yescharacteristic
889C22×C59#58511yescharacteristic
890C4×C59—22no—
891C4×C59—22no—
892C4×C59—22no—
893C4×C59—22no—
894C4×C59—22no—
895C4×C59—22no—
896C4×C59—22no—
897C4×C59—22no—
898C4×C59—22no—
899C4×C59—22no—
900C4×C59—41no—
901C4×C59—41no—
902C4×C59—41no—
903C4×C59—41no—
904C4×C59—41no—
905C4×C59—41no—
906C4×C59—41no—
907C4×C59—41no—
908C4×C59—41no—
909C4×C59—41no—
910C4×C59—41no—
911C4×C59—41no—
912C4×C59—41no—
913C2×#538C2×C5911yescharacteristic, complemented
914C2×#525C2×C5911yescharacteristic, complemented
915#2610C2×C5911yescharacteristic, complemented
916#2603C2×C5911yescharacteristic, complemented
917#2602C2×C5911yescharacteristic, complemented
918#2601C2×C5911yescharacteristic, complemented
919#2560C2×C5911yescharacteristic, complemented
920#2557C2×C5911yescharacteristic, complemented
921#2555C2×C5911yescharacteristic, complemented
922#2554C2×C5911yescharacteristic, complemented
923#2549C2×C5911yescharacteristic, complemented
924#2544C2×C5911yescharacteristic, complemented
925#2543C2×C5911yescharacteristic, complemented
926#2543C2×C5911yescharacteristic, complemented
927#2472C2×C5911yescharacteristic, complemented
928#2472C2×C5911yescharacteristic, complemented
929#2464C2×C5911yescharacteristic, complemented
930#2461C2×C5911yescharacteristic, complemented
931#2445C2×C5911yescharacteristic, complemented
932#2433C2×C5911yescharacteristic, complemented
933#2431C2×C5911yescharacteristic, complemented
934#2430C2×C5911yescharacteristic, complemented
935#2428C2×C5911yescharacteristic, complemented
936#2424C2×C5911yescharacteristic, complemented
937#2424C2×C5911yescharacteristic, complemented
938#2408C2×C5911yescharacteristic, complemented
939#2325C2×C5911yescharacteristic, complemented
940#2321C2×C5911yescharacteristic, complemented
941C4×#120C2×C5911yescharacteristic, complemented
942C2×#386C2×C5911yescharacteristic, complemented
943#2275C2×C5911yescharacteristic, complemented
944C2×C59—24no—
945C2×C59—42no—
946C2×C59—42no—
947C2×C59—42no—
948C2×C59—81no—
949C2×C59—81no—
950C2×C59—81no—
951C2×C59—81no—
952C2×C59C2×#53211yescharacteristic
953C2×C59#348411yescharacteristic
954C2×C59#348811yescharacteristic
955C2×C59#349011yescharacteristic
956C2×C59#350611yescharacteristic
957C2×C59#351311yescharacteristic
958C2×C59#351911yescharacteristic
959C22×#41C22×C5911yescharacteristic, complemented
960C23×D4C22×C5911yescharacteristic
961C24×C4C22×C5911yescharacteristic
962#538—28no—
963C2×#127C22×C5911yescharacteristic
964C2×#127C22×C5911yescharacteristic
965C2×#126C22×C5911yescharacteristic, complemented
966C2×#126C22×C5911yescharacteristic, complemented
967C2×#124C22×C5911yescharacteristic, complemented
968C2×#124C22×C5911yescharacteristic, complemented
969C2×#124C22×C5911yescharacteristic, complemented
970C2×#124C22×C5911yescharacteristic, complemented
971#525—28no—
972C2×#123C22×C5911yescharacteristic, complemented
973C2×#123C22×C5911yescharacteristic, complemented
974C2×#123C22×C5911yescharacteristic, complemented
975C2×#123C22×C5911yescharacteristic, complemented
976C2×C22⋊Q8C22×C5911yescharacteristic
977C2×C22⋊Q8C22×C5911yescharacteristic
978C2×C22⋊Q8C22×C5911yescharacteristic, complemented
979C2×#121C22×C5911yescharacteristic
980C2×#121C22×C5911yescharacteristic
981C2×#121C22×C5911yescharacteristic
982C2×#121C22×C5911yescharacteristic
983C2×#121C22×C5911yescharacteristic
984C2×#121C22×C5911yescharacteristic, complemented
985C2×#121C22×C5911yescharacteristic, complemented
986C2×#121C22×C5911yescharacteristic, complemented
987C2×#121C22×C5911yescharacteristic, complemented
988C2×#121C22×C5911yescharacteristic, complemented
989C2×#120C22×C5911yescharacteristic
990C2×#120C22×C5911yescharacteristic
991C2×#120C22×C5911yescharacteristic
992C2×#120C22×C5911yescharacteristic
993C2×#120C22×C5911yescharacteristic
994C2×#120C22×C5911yescharacteristic
995C2×C4×D4C22×C5911yescharacteristic
996C2×C4×D4C22×C5911yescharacteristic
997C2×C4×D4C22×C5911yescharacteristic
998C2×C4×D4C22×C5911yescharacteristic
999C2×C4×D4C22×C5911yescharacteristic
1000C2×C4×D4C22×C5911yescharacteristic, complemented
1001C2×C4×D4C22×C5911yescharacteristic, complemented
1002C2×C4×D4C22×C5911yescharacteristic, complemented
1003C2×C4×D4C22×C5911yescharacteristic, complemented
1004C2×#117C22×C5911yescharacteristic, complemented
1005C22×C22⋊C4C22×C5911yescharacteristic
1006C22×C22⋊C4C22×C5911yescharacteristic
1007C22×C22⋊C4C22×C5911yescharacteristic
1008#398C22×C5911yescharacteristic, complemented
1009#398C22×C5911yescharacteristic, complemented
1010#398C22×C5911yescharacteristic, complemented
1011#397C22×C5911yescharacteristic, complemented
1012#397C22×C5911yescharacteristic, complemented
1013#397C22×C5911yescharacteristic, complemented
1014#396C22×C5911yescharacteristic, complemented
1015#396C22×C5911yescharacteristic, complemented
1016#395C22×C5911yescharacteristic, complemented
1017#395C22×C5911yescharacteristic, complemented
1018#394C22×C5911yescharacteristic
1019#394C22×C5911yescharacteristic
1020#394C22×C5911yescharacteristic, complemented
1021#394C22×C5911yescharacteristic, complemented
1022#394C22×C5911yescharacteristic, complemented
1023#394C22×C5911yescharacteristic, complemented
1024#394C22×C5911yescharacteristic, complemented
1025#394C22×C5911yescharacteristic, complemented
1026#394C22×C5911yescharacteristic, complemented
1027#394C22×C5911yescharacteristic, complemented
1028#394C22×C5911yescharacteristic, complemented
1029#393C22×C5911yescharacteristic, complemented
1030#393C22×C5911yescharacteristic, complemented
1031#392C22×C5911yescharacteristic
1032#392C22×C5911yescharacteristic
1033#392C22×C5911yescharacteristic
1034#392C22×C5911yescharacteristic
1035#392C22×C5911yescharacteristic
1036#392C22×C5911yescharacteristic
1037#392C22×C5911yescharacteristic, complemented
1038#392C22×C5911yescharacteristic, complemented
1039#392C22×C5911yescharacteristic, complemented
1040#391C22×C5911yescharacteristic, complemented
1041#391C22×C5911yescharacteristic, complemented
1042#390C22×C5911yescharacteristic
1043#390C22×C5911yescharacteristic
1044#390C22×C5911yescharacteristic
1045#390C22×C5911yescharacteristic
1046#390C22×C5911yescharacteristic, complemented
1047#390C22×C5911yescharacteristic, complemented
1048#390C22×C5911yescharacteristic, complemented
1049#390C22×C5911yescharacteristic, complemented
1050#390C22×C5911yescharacteristic, complemented
1051#390C22×C5911yescharacteristic, complemented
1052#389C22×C5911yescharacteristic, complemented
1053#389C22×C5911yescharacteristic, complemented
1054#388C22×C5911yescharacteristic, complemented
1055#388C22×C5911yescharacteristic, complemented
1056#388C22×C5911yescharacteristic, complemented
1057#388C22×C5911yescharacteristic, complemented
1058#388C22×C5911yescharacteristic, complemented
1059#388C22×C5911yescharacteristic, complemented
1060#388C22×C5911yescharacteristic, complemented
1061#388C22×C5911yescharacteristic, complemented
1062#388C22×C5911yescharacteristic, complemented
1063#388C22×C5911yescharacteristic, complemented
1064#388C22×C5911yescharacteristic, complemented
1065#388C22×C5911yescharacteristic, complemented
1066#388C22×C5911yescharacteristic, complemented
1067#388C22×C5911yescharacteristic, complemented
1068#387C22×C5911yescharacteristic, complemented
1069#387C22×C5911yescharacteristic, complemented
1070#386C22×C5911yescharacteristic
1071#386C22×C5911yescharacteristic
1072#386C22×C5911yescharacteristic
1073#386C22×C5911yescharacteristic
1074#386C22×C5911yescharacteristic
1075#386C22×C5911yescharacteristic
1076#386C22×C5911yescharacteristic
1077#386C22×C5911yescharacteristic
1078#386C22×C5911yescharacteristic
1079#386C22×C5911yescharacteristic
1080#386C22×C5911yescharacteristic
1081#386C22×C5911yescharacteristic
1082#386C22×C5911yescharacteristic, complemented
1083#386C22×C5911yescharacteristic, complemented
1084#386C22×C5911yescharacteristic, complemented
1085#386C22×C5911yescharacteristic, complemented
1086#386C22×C5911yescharacteristic, complemented
1087#386C22×C5911yescharacteristic, complemented
1088#386C22×C5911yescharacteristic, complemented
1089#386C22×C5911yescharacteristic, complemented
1090#386C22×C5911yescharacteristic, complemented
1091#386C22×C5911yescharacteristic, complemented
1092#385C22×C5911yescharacteristic
1093#385C22×C5911yescharacteristic
1094#385C22×C5911yescharacteristic, complemented
1095#385C22×C5911yescharacteristic, complemented
1096#385C22×C5911yescharacteristic, complemented
1097#385C22×C5911yescharacteristic, complemented
1098#380C22×C5911yescharacteristic
1099#379C22×C5911yescharacteristic
1100#379C22×C5911yescharacteristic
1101C4×C4⋊C4C22×C5911yescharacteristic, complemented
1102C4×C4⋊C4C22×C5911yescharacteristic, complemented
1103C4×C4⋊C4C22×C5911yescharacteristic, complemented
1104C4×C22⋊C4C22×C5911yescharacteristic
1105C4×C22⋊C4C22×C5911yescharacteristic
1106C4×C22⋊C4C22×C5911yescharacteristic
1107C4×C22⋊C4C22×C5911yescharacteristic, complemented
1108C4×C22⋊C4C22×C5911yescharacteristic, complemented
1109C4×C22⋊C4C22×C5911yescharacteristic, complemented
1110C4×C22⋊C4C22×C5911yescharacteristic, complemented
1111C4×C22⋊C4C22×C5911yescharacteristic, complemented
1112#376C22×C5911yescharacteristic, complemented
1113C2×#95C22×C5911yescharacteristic
1114C2×#95C22×C5911yescharacteristic
1115C2×#95C22×C5911yescharacteristic, complemented
1116C59#3539211yescharacteristic, direct product factor, Sylow
1117C25C23×C5911yescharacteristic
1118C25C23×C5911yescharacteristic
1119C2×#41—24no—
1120C2×#41—42no—
1121C2×#41—42no—
1122C22×Q8C23×C5911yescharacteristic
1123C22×Q8C23×C5911yescharacteristic
1124C22×D4—24no—
1125C22×D4—42no—
1126C22×D4—42no—
1127C22×D4C23×C5911yescharacteristic
1128C22×D4C23×C5911yescharacteristic
1129C22×D4C23×C5911yescharacteristic
1130C22×D4C23×C5911yescharacteristic
1131C22×D4C23×C5911yescharacteristic
1132C22×D4C23×C5911yescharacteristic
1133C22×D4C23×C5911yescharacteristic
1134C22×D4C23×C5911yescharacteristic
1135C22×D4C23×C5911yescharacteristic
1136C22×D4C23×C5911yescharacteristic
1137C22×D4C23×C5911yescharacteristic
1138C22×D4C23×C5911yescharacteristic
1139C22×D4C23×C5911yescharacteristic
1140C22×D4C23×C5911yescharacteristic
1141C22×D4C23×C5911yescharacteristic
1142C22×D4C23×C5911yescharacteristic
1143C22×D4C23×C5911yescharacteristic
1144C22×D4C23×C5911yescharacteristic
1145C22×D4C23×C5911yescharacteristic
1146C22×D4C23×C5911yescharacteristic
1147C22×D4C23×C5911yescharacteristic
1148C22×D4C23×C5911yescharacteristic
1149C23×C4—24no—
1150C23×C4—42no—
1151C23×C4—42no—
1152C23×C4C23×C5911yescharacteristic
1153C23×C4C23×C5911yescharacteristic
1154C23×C4C23×C5911yescharacteristic
1155C23×C4C23×C5911yescharacteristic
1156C23×C4C23×C5911yescharacteristic
1157C23×C4C23×C5911yescharacteristic
1158C23×C4C23×C5911yescharacteristic
1159C23×C4C23×C5911yescharacteristic
1160C23×C4C23×C5911yescharacteristic
1161C23×C4C23×C5911yescharacteristic
1162C23×C4C23×C5911yescharacteristic
1163C23×C4C23×C5911yescharacteristic
1164C23×C4C23×C5911yescharacteristic
1165C23×C4C23×C5911yescharacteristic
1166#127—42no—
1167#127—42no—
1168#126—24no—
1169#126—24no—
1170#124—24no—
1171#124—24no—
1172#124—42no—
1173#124—42no—
1174#123—24no—
1175#123—24no—
1176#123—24no—
1177#123—24no—
1178C22⋊Q8—24no—
1179C22⋊Q8—24no—
1180C22⋊Q8—24no—
1181#121—24no—
1182#121—24no—
1183#121—24no—
1184#121—24no—
1185#121—24no—
1186#121—24no—
1187#121—42no—
1188#121—42no—
1189#121—42no—
1190#121—42no—
1191#120—24no—
1192#120—24no—
1193#120—24no—
1194#120—24no—
1195#120—24no—
1196#120—24no—
1197C4×D4—24no—
1198C4×D4—24no—
1199C4×D4—24no—
1200C4×D4—24no—
1201C4×D4—24no—
1202C4×D4—24no—
1203C4×D4—42no—
1204C4×D4—42no—
1205C4×D4D4×C5918yescomplemented
1206#117—24no—
1207C2×C4⋊C4C23×C5911yescharacteristic
1208C2×C4⋊C4C23×C5911yescharacteristic
1209C2×C4⋊C4C23×C5911yescharacteristic
1210C2×C4⋊C4C23×C5911yescharacteristic
1211C2×C4⋊C4C23×C5911yescharacteristic
1212C2×C4⋊C4C23×C5911yescharacteristic
1213C2×C4⋊C4C23×C5911yescharacteristic
1214C2×C4⋊C4C23×C5911yescharacteristic
1215C2×C4⋊C4C23×C5911yescharacteristic
1216C2×C4⋊C4C23×C5911yescharacteristic
1217C2×C4⋊C4C23×C5911yescharacteristic
1218C2×C4⋊C4C23×C5911yescharacteristic
1219C2×C4⋊C4C23×C5911yescharacteristic
1220C2×C4⋊C4C23×C5911yescharacteristic
1221C2×C4⋊C4C23×C5911yescharacteristic
1222C2×C4⋊C4C23×C5911yescharacteristic
1223C2×C4⋊C4C23×C5911yescharacteristic
1224C2×C4⋊C4C23×C5911yescharacteristic
1225C2×C4⋊C4C23×C5911yescharacteristic
1226C2×C4⋊C4C23×C5911yescharacteristic
1227C2×C22⋊C4—24no—
1228C2×C22⋊C4—42no—
1229C2×C22⋊C4—42no—
1230C2×C22⋊C4C23×C5911yescharacteristic
1231C2×C22⋊C4C23×C5911yescharacteristic
1232C2×C22⋊C4C23×C5911yescharacteristic
1233C2×C22⋊C4C23×C5911yescharacteristic
1234C2×C22⋊C4C23×C5911yescharacteristic
1235C2×C22⋊C4C23×C5911yescharacteristic
1236C2×C22⋊C4C23×C5911yescharacteristic
1237C2×C22⋊C4C23×C5911yescharacteristic
1238C2×C22⋊C4C23×C5911yescharacteristic
1239C2×C22⋊C4C23×C5911yescharacteristic
1240C2×C22⋊C4C23×C5911yescharacteristic
1241C2×C22⋊C4C23×C5911yescharacteristic
1242C2×C22⋊C4C23×C5911yescharacteristic
1243C2×C22⋊C4C23×C5911yescharacteristic
1244C2×C22⋊C4C23×C5911yescharacteristic
1245C2×C22⋊C4C23×C5911yescharacteristic
1246C2×C22⋊C4C23×C5911yescharacteristic
1247C2×C22⋊C4C23×C5911yescharacteristic
1248C2×C22⋊C4C23×C5911yescharacteristic
1249C2×C22⋊C4C23×C5911yescharacteristic
1250C2×C22⋊C4C23×C5911yescharacteristic
1251C2×C22⋊C4C23×C5911yescharacteristic
1252C2×C22⋊C4C23×C5911yescharacteristic
1253C2×C22⋊C4C23×C5911yescharacteristic
1254C2×C22⋊C4C23×C5911yescharacteristic
1255C2×C22⋊C4C23×C5911yescharacteristic
1256C2×C22⋊C4C23×C5911yescharacteristic
1257C2×C22⋊C4C23×C5911yescharacteristic
1258C2×C22⋊C4C23×C5911yescharacteristic
1259C2×C22⋊C4C23×C5911yescharacteristic
1260C2×C22⋊C4C23×C5911yescharacteristic
1261C2×C22⋊C4C23×C5911yescharacteristic
1262C2×C22⋊C4C23×C5911yescharacteristic
1263C2×C22⋊C4C23×C5911yescharacteristic
1264C2×C22⋊C4C23×C5911yescharacteristic
1265C2×C22⋊C4C23×C5911yescharacteristic
1266C2×C22⋊C4C23×C5911yescharacteristic
1267C2×C22⋊C4C23×C5911yescharacteristic
1268C2×C22⋊C4C23×C5911yescharacteristic
1269C2×C22⋊C4C23×C5911yescharacteristic
1270C2×C22⋊C4C23×C5911yescharacteristic
1271C2×C22⋊C4C23×C5911yescharacteristic
1272C2×C22⋊C4C23×C5911yescharacteristic
1273C2×C22⋊C4C23×C5911yescharacteristic
1274C2×C22⋊C4C23×C5911yescharacteristic
1275C2×C22⋊C4C23×C5911yescharacteristic
1276C2×C22⋊C4C23×C5911yescharacteristic
1277C2×C22⋊C4C23×C5911yescharacteristic
1278C2×C22⋊C4C23×C5911yescharacteristic
1279C2×C22⋊C4C23×C5911yescharacteristic
1280C2×C22⋊C4C23×C5911yescharacteristic
1281C2×C22⋊C4C23×C5911yescharacteristic
1282C2×C22⋊C4C23×C5911yescharacteristic
1283C2×C22⋊C4C23×C5911yescharacteristic
1284C2×C22⋊C4C23×C5911yescharacteristic
1285C2×C22⋊C4C23×C5911yescharacteristic
1286C2×C42C23×C5911yescharacteristic
1287C2×C42C23×C5911yescharacteristic
1288C2×C42C23×C5911yescharacteristic
1289C2×C42C23×C5911yescharacteristic
1290C2×C42C23×C5911yescharacteristic
1291C2×C42C23×C5911yescharacteristic
1292C2×C42C23×C5911yescharacteristic
1293C2×C42C23×C5911yescharacteristic
1294C2×C42C23×C5911yescharacteristic
1295C2×C42C23×C5911yescharacteristic
1296C2×C42C23×C5911yescharacteristic
1297#95C23×C5911yescharacteristic
1298#95C23×C5911yescharacteristic
1299#95C23×C5911yescharacteristic
1300#95C23×C5911yescharacteristic
1301#95C23×C5911yescharacteristic
1302#95C23×C5911yescharacteristic
1303#95C23×C5911yescharacteristic
1304#95C23×C5911yescharacteristic
1305#95C23×C5911yescharacteristic
1306#95C23×C5911yescharacteristic
1307#95C23×C5911yescharacteristic
1308#95C23×C5911yescharacteristic
1309#95C23×C5911yescharacteristic
1310#95C23×C5911yescharacteristic
1311#95C23×C5911yescharacteristic
1312#95C23×C5911yescharacteristic
1313#95C23×C5911yescharacteristic
1314#95C23×C5911yescharacteristic
1315#95C23×C5911yescharacteristic
1316#95C23×C5911yescharacteristic
1317#95C23×C5911yescharacteristic
1318#95C23×C5911yescharacteristic
1319#95C23×C5911yescharacteristic
1320#95C23×C5911yescharacteristic
1321#95C23×C5911yescharacteristic
1322#95C23×C5911yescharacteristic
1323#95C23×C5911yescharacteristic
1324#95C23×C5911yescharacteristic
1325C24—22no—
1326C24—22no—
1327C24—22no—
1328C24—22no—
1329C24—22no—
1330C24—22no—
1331C24—22no—
1332C24—22no—
1333C24—41no—
1334C24—41no—
1335C24—41no—
1336C24—41no—
1337C24—41no—
1338C24—41no—
1339C24C24×C5911yescharacteristic
1340C24C24×C5911yescharacteristic
1341C24C24×C5911yescharacteristic
1342C24C24×C5911yescharacteristic
1343C24C24×C5911yescharacteristic
1344C24C24×C5911yescharacteristic
1345C24C24×C5911yescharacteristic
1346C24C24×C5911yescharacteristic
1347#41—416no—
1348C2×Q8—22no—
1349C2×Q8—22no—
1350C2×Q8—22no—
1351C2×Q8—41no—
1352C2×Q8—41no—
1353C2×Q8—41no—
1354C2×D4—22no—
1355C2×D4—22no—
1356C2×D4—22no—
1357C2×D4—22no—
1358C2×D4—22no—
1359C2×D4—22no—
1360C2×D4—22no—
1361C2×D4—22no—
1362C2×D4—22no—
1363C2×D4—22no—
1364C2×D4—22no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—22no—
1376C2×D4—22no—
1377C2×D4—22no—
1378C2×D4—22no—
1379C2×D4—22no—
1380C2×D4—22no—
1381C2×D4—22no—
1382C2×D4—22no—
1383C2×D4—22no—
1384C2×D4—22no—
1385C2×D4—22no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—22no—
1389C2×D4—22no—
1390C2×D4—22no—
1391C2×D4—22no—
1392C2×D4—41no—
1393C2×D4—41no—
1394C2×D4—41no—
1395C2×D4—41no—
1396C2×D4—41no—
1397C2×D4—41no—
1398C2×D4—41no—
1399C2×D4—41no—
1400C2×D4—41no—
1401C2×D4—41no—
1402C2×D4—41no—
1403C2×D4—41no—
1404C2×D4—41no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—41no—
1410C2×D4—41no—
1411C2×D4—41no—
1412C2×D4—41no—
1413C2×D4—41no—
1414C2×D4—41no—
1415C2×D4—41no—
1416C2×D4—41no—
1417C2×D4—41no—
1418C2×D4—41no—
1419C2×D4—416no—
1420C2×D4C2×D4×C5914yes—
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—41no—
1438C22×C4—41no—
1439C22×C4—41no—
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×C4—41no—
1452C22×C4—41no—
1453C22×C4—41no—
1454C22×C4—41no—
1455C22×C4—41no—
1456C22×C4—41no—
1457C22×C4—41no—
1458C22×C4—41no—
1459C22×C4—41no—
1460C22×C4—416no—
1461C22×C4C2×D4×C5914yes—
1462C22×C4C2×D4×C5914yescomplemented
1463C22×C4#41×C5914yescomplemented
1464C22×C4C24×C5911yescharacteristic
1465C22×C4C24×C5911yescharacteristic
1466C22×C4C24×C5911yescharacteristic
1467C22×C4C24×C5911yescharacteristic
1468C22×C4C24×C5911yescharacteristic
1469C22×C4C24×C5911yescharacteristic
1470C22×C4C24×C5911yescharacteristic
1471C22×C4C24×C5911yescharacteristic
1472C22×C4C24×C5911yescharacteristic
1473C22×C4C24×C5911yescharacteristic
1474C22×C4C24×C5911yescharacteristic
1475C22×C4C24×C5911yescharacteristic
1476C22×C4C24×C5911yescharacteristic
1477C22×C4C24×C5911yescharacteristic
1478C22×C4C24×C5911yescharacteristic
1479C22×C4C24×C5911yescharacteristic
1480C22×C4C24×C5911yescharacteristic
1481C22×C4C24×C5911yescharacteristic
1482C22×C4C24×C5911yescharacteristic
1483C22×C4C24×C5911yescharacteristic
1484C22×C4C24×C5911yescharacteristic
1485C22×C4C24×C5911yescharacteristic
1486C22×C4C24×C5911yescharacteristic
1487C4⋊C4—22no—
1488C4⋊C4—22no—
1489C4⋊C4—22no—
1490C4⋊C4—22no—
1491C4⋊C4—22no—
1492C4⋊C4—22no—
1493C4⋊C4—22no—
1494C4⋊C4—22no—
1495C4⋊C4—22no—
1496C4⋊C4—22no—
1497C4⋊C4—22no—
1498C4⋊C4—22no—
1499C4⋊C4—22no—
1500C4⋊C4—22no—
1501C4⋊C4—41no—
1502C4⋊C4—41no—
1503C4⋊C4—41no—
1504C4⋊C4—41no—
1505C4⋊C4—41no—
1506C4⋊C4C2×D4×C5914yescomplemented
1507C22⋊C4—22no—
1508C22⋊C4—22no—
1509C22⋊C4—22no—
1510C22⋊C4—22no—
1511C22⋊C4—22no—
1512C22⋊C4—22no—
1513C22⋊C4—22no—
1514C22⋊C4—22no—
1515C22⋊C4—22no—
1516C22⋊C4—22no—
1517C22⋊C4—22no—
1518C22⋊C4—22no—
1519C22⋊C4—22no—
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—22no—
1527C22⋊C4—22no—
1528C22⋊C4—22no—
1529C22⋊C4—22no—
1530C22⋊C4—22no—
1531C22⋊C4—22no—
1532C22⋊C4—22no—
1533C22⋊C4—22no—
1534C22⋊C4—22no—
1535C22⋊C4—22no—
1536C22⋊C4—22no—
1537C22⋊C4—22no—
1538C22⋊C4—22no—
1539C22⋊C4—22no—
1540C22⋊C4—22no—
1541C22⋊C4—22no—
1542C22⋊C4—22no—
1543C22⋊C4—41no—
1544C22⋊C4—41no—
1545C22⋊C4—41no—
1546C22⋊C4—41no—
1547C22⋊C4—41no—
1548C22⋊C4—41no—
1549C22⋊C4—41no—
1550C22⋊C4—41no—
1551C22⋊C4—41no—
1552C22⋊C4—41no—
1553C22⋊C4—41no—
1554C22⋊C4—41no—
1555C22⋊C4—41no—
1556C22⋊C4—41no—
1557C22⋊C4—41no—
1558C22⋊C4—41no—
1559C22⋊C4—41no—
1560C22⋊C4C2×D4×C5914yes—
1561C22⋊C4C2×D4×C5914yescomplemented
1562C22⋊C4#41×C5914yescomplemented
1563C42—22no—
1564C42—22no—
1565C42—22no—
1566C42—22no—
1567C42—41no—
1568C42—41no—
1569C42—41no—
1570C42—41no—
1571C42—41no—
1572C42—41no—
1573C42C2×D4×C5914yescomplemented
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—28no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—44no—
1626C23—44no—
1627C23—44no—
1628C23—44no—
1629C23—44no—
1630C23—44no—
1631C23—44no—
1632C23—44no—
1633C23—44no—
1634C23—82no—
1635C23—82no—
1636C23—82no—
1637C23—82no—
1638C23C22×D4×C5912yes—
1639C23C22×D4×C5912yes—
1640C23C2×#41×C5912yes—
1641C23C2×#41×C5912yes—
1642C23H(5,𝔽2)×C5912yes—
1643C23H(5,𝔽2)×C5912yes—
1644C23C25×C5911yescharacteristic
1645Q8—44no—
1646Q8—82no—
1647D4—28no—
1648D4—44no—
1649D4—44no—
1650D4—44no—
1651D4—44no—
1652D4—44no—
1653D4—44no—
1654D4—44no—
1655D4—44no—
1656D4—44no—
1657D4—44no—
1658D4—44no—
1659D4—44no—
1660D4—44no—
1661D4—82no—
1662D4—82no—
1663D4—82no—
1664D4—82no—
1665D4—82no—
1666D4—82no—
1667D4—82no—
1668D4—82no—
1669C2×C4—28no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—44no—
1730C2×C4—44no—
1731C2×C4—44no—
1732C2×C4—44no—
1733C2×C4—44no—
1734C2×C4—44no—
1735C2×C4—44no—
1736C2×C4—44no—
1737C2×C4—82no—
1738C2×C4—82no—
1739C2×C4—82no—
1740C2×C4—82no—
1741C2×C4—82no—
1742C2×C4C22×D4×C5912yes—
1743C2×C4C22×D4×C5912yes—
1744C2×C4C22×D4×C5912yes—
1745C2×C4C22×D4×C5912yes—
1746C2×C4C22×D4×C5912yes—
1747C2×C4C2×#41×C5912yes—
1748C2×C4C2×#41×C5912yes—
1749C2×C4C2×#41×C5912yes—
1750C2×C4C2×#41×C5912yes—
1751C2×C4H(5,𝔽2)×C5912yes—
1752C22—22no—
1753C22—22no—
1754C22—22no—
1755C22—22no—
1756C22—22no—
1757C22—22no—
1758C22—22no—
1759C22—22no—
1760C22—22no—
1761C22—22no—
1762C22—22no—
1763C22—22no—
1764C22—22no—
1765C22—22no—
1766C22—22no—
1767C22—416no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—88no—
1809C22C59×#53214yes—
1810C22C23×D4×C5911yescharacteristic
1811C22C22×#41×C5911yescharacteristic
1812C22C22×#41×C5911yescharacteristic
1813C22C2×H(5,𝔽2)×C5911yescharacteristic
1814C22C2×H(5,𝔽2)×C5911yescharacteristic
1815C22C2×H(5,𝔽2)×C5911yescharacteristic
1816C22C59×#58511yescharacteristic
1817C4—22no—
1818C4—22no—
1819C4—22no—
1820C4—22no—
1821C4—22no—
1822C4—22no—
1823C4—22no—
1824C4—22no—
1825C4—22no—
1826C4—22no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—41no—
1831C4—41no—
1832C4—41no—
1833C4—41no—
1834C4—41no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C2—24no—
1841C2—42no—
1842C2—42no—
1843C2—42no—
1844C2—81no—
1845C2—81no—
1846C2—81no—
1847C2—81no—
1848C2C2×C59×#53211yescharacteristic
1849C2C59×#348411yescharacteristic
1850C2C59×#348811yescharacteristic
1851C2C59×#349011yescharacteristic
1852C2C59×#350611yescharacteristic
1853C2C59×#351311yescharacteristic
1854C2C59×#351911yescharacteristic
subgroupG/H
center, socleC23×C59C25
commutator, Frattini, cosocleC23C25×C59
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C59 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C59×#538C2semidirect
2. C2×C59×#525C2semidirect
3. C59×#2610C2semidirect
4. C59×#2603C2semidirect
5. C59×#2602C2semidirect
6. C59×#2601C2semidirect
7. C59×#2560C2semidirect
8. C59×#2557C2semidirect
9. C59×#2555C2semidirect
10. C59×#2554C2semidirect
11. C59×#2549C2semidirect
12. C59×#2544C2semidirect
13. C59×#2543C2semidirect
14. C59×#2543C2semidirect
15. C59×#2472C2semidirect
16. C59×#2472C2semidirect
17. C59×#2464C2semidirect
18. C59×#2461C2semidirect
19. C59×#2445C2semidirect
20. C59×#2433C2semidirect
21. C59×#2431C2semidirect
22. C59×#2430C2semidirect
23. C59×#2428C2semidirect
24. C59×#2424C2semidirect
25. C59×#2424C2semidirect
26. C59×#2408C2semidirect
27. C59×#2325C2semidirect
28. C59×#2321C2semidirect
29. C4×#120×C59C2semidirect
30. C2×C59×#386C2semidirect
31. C59×#2275C2semidirect
32. C22×#41×C59C22semidirect
38. C2×#126×C59C22semidirect
39. C2×#126×C59C22semidirect
40. C2×#124×C59C22semidirect
41. C2×#124×C59C22semidirect
42. C2×#124×C59C22semidirect
43. C2×#124×C59C22semidirect
45. C2×#123×C59C22semidirect
46. C2×#123×C59C22semidirect
47. C2×#123×C59C22semidirect
48. C2×#123×C59C22semidirect
51. C2×C22⋊Q8×C59C22semidirect
57. C2×#121×C59C22semidirect
58. C2×#121×C59C22semidirect
59. C2×#121×C59C22semidirect
60. C2×#121×C59C22semidirect
61. C2×#121×C59C22semidirect
73. C2×C4×D4×C59C22semidirect
74. C2×C4×D4×C59C22semidirect
75. C2×C4×D4×C59C22semidirect
76. C2×C4×D4×C59C22semidirect
77. C2×#117×C59C22semidirect
81. C59×#398C22semidirect
82. C59×#398C22semidirect
83. C59×#398C22semidirect
84. C59×#397C22semidirect
85. C59×#397C22semidirect
86. C59×#397C22semidirect
87. C59×#396C22semidirect
88. C59×#396C22semidirect
89. C59×#395C22semidirect
90. C59×#395C22semidirect
93. C59×#394C22semidirect
94. C59×#394C22semidirect
95. C59×#394C22semidirect
96. C59×#394C22semidirect
97. C59×#394C22semidirect
98. C59×#394C22semidirect
99. C59×#394C22semidirect
100. C59×#394C22semidirect
101. C59×#394C22semidirect
102. C59×#393C22semidirect
103. C59×#393C22semidirect
110. C59×#392C22semidirect
111. C59×#392C22semidirect
112. C59×#392C22semidirect
113. C59×#391C22semidirect
114. C59×#391C22semidirect
119. C59×#390C22semidirect
120. C59×#390C22semidirect
121. C59×#390C22semidirect
122. C59×#390C22semidirect
123. C59×#390C22semidirect
124. C59×#390C22semidirect
125. C59×#389C22semidirect
126. C59×#389C22semidirect
127. C59×#388C22semidirect
128. C59×#388C22semidirect
129. C59×#388C22semidirect
130. C59×#388C22semidirect
131. C59×#388C22semidirect
132. C59×#388C22semidirect
133. C59×#388C22semidirect
134. C59×#388C22semidirect
135. C59×#388C22semidirect
136. C59×#388C22semidirect
137. C59×#388C22semidirect
138. C59×#388C22semidirect
139. C59×#388C22semidirect
140. C59×#388C22semidirect
141. C59×#387C22semidirect
142. C59×#387C22semidirect
155. C59×#386C22semidirect
156. C59×#386C22semidirect
157. C59×#386C22semidirect
158. C59×#386C22semidirect
159. C59×#386C22semidirect
160. C59×#386C22semidirect
161. C59×#386C22semidirect
162. C59×#386C22semidirect
163. C59×#386C22semidirect
164. C59×#386C22semidirect
167. C59×#385C22semidirect
168. C59×#385C22semidirect
169. C59×#385C22semidirect
170. C59×#385C22semidirect
174. C4×C4⋊C4×C59C22semidirect
175. C4×C4⋊C4×C59C22semidirect
176. C4×C4⋊C4×C59C22semidirect
180. C4×C22⋊C4×C59C22semidirect
181. C4×C22⋊C4×C59C22semidirect
182. C4×C22⋊C4×C59C22semidirect
183. C4×C22⋊C4×C59C22semidirect
184. C4×C22⋊C4×C59C22semidirect
185. C59×#376C22semidirect
188. C2×#95×C59C22semidirect
277. C4×D4×C59D4semidirect
534. C22×C4×C59C2×D4semidirect
535. C22×C4×C59#41semidirect
578. C4⋊C4×C59C2×D4semidirect
633. C22⋊C4×C59C2×D4semidirect
634. C22⋊C4×C59#41semidirect
645. C42×C59C2×D4semidirect
824. #35392C59direct (N × H)
913. C2×#538C2×C59semidirect
914. C2×#525C2×C59semidirect
915. #2610C2×C59semidirect
916. #2603C2×C59semidirect
917. #2602C2×C59semidirect
918. #2601C2×C59semidirect
919. #2560C2×C59semidirect
920. #2557C2×C59semidirect
921. #2555C2×C59semidirect
922. #2554C2×C59semidirect
923. #2549C2×C59semidirect
924. #2544C2×C59semidirect
925. #2543C2×C59semidirect
926. #2543C2×C59semidirect
927. #2472C2×C59semidirect
928. #2472C2×C59semidirect
929. #2464C2×C59semidirect
930. #2461C2×C59semidirect
931. #2445C2×C59semidirect
932. #2433C2×C59semidirect
933. #2431C2×C59semidirect
934. #2430C2×C59semidirect
935. #2428C2×C59semidirect
936. #2424C2×C59semidirect
937. #2424C2×C59semidirect
938. #2408C2×C59semidirect
939. #2325C2×C59semidirect
940. #2321C2×C59semidirect
941. C4×#120C2×C59semidirect
942. C2×#386C2×C59semidirect
943. #2275C2×C59semidirect
959. C22×#41C22×C59semidirect
965. C2×#126C22×C59semidirect
966. C2×#126C22×C59semidirect
967. C2×#124C22×C59semidirect
968. C2×#124C22×C59semidirect
969. C2×#124C22×C59semidirect
970. C2×#124C22×C59semidirect
972. C2×#123C22×C59semidirect
973. C2×#123C22×C59semidirect
974. C2×#123C22×C59semidirect
975. C2×#123C22×C59semidirect
978. C2×C22⋊Q8C22×C59semidirect
984. C2×#121C22×C59semidirect
985. C2×#121C22×C59semidirect
986. C2×#121C22×C59semidirect
987. C2×#121C22×C59semidirect
988. C2×#121C22×C59semidirect
1000. C2×C4×D4C22×C59semidirect
1001. C2×C4×D4C22×C59semidirect
1002. C2×C4×D4C22×C59semidirect
1003. C2×C4×D4C22×C59semidirect
1004. C2×#117C22×C59semidirect
1008. #398C22×C59semidirect
1009. #398C22×C59semidirect
1010. #398C22×C59semidirect
1011. #397C22×C59semidirect
1012. #397C22×C59semidirect
1013. #397C22×C59semidirect
1014. #396C22×C59semidirect
1015. #396C22×C59semidirect
1016. #395C22×C59semidirect
1017. #395C22×C59semidirect
1020. #394C22×C59semidirect
1021. #394C22×C59semidirect
1022. #394C22×C59semidirect
1023. #394C22×C59semidirect
1024. #394C22×C59semidirect
1025. #394C22×C59semidirect
1026. #394C22×C59semidirect
1027. #394C22×C59semidirect
1028. #394C22×C59semidirect
1029. #393C22×C59semidirect
1030. #393C22×C59semidirect
1037. #392C22×C59semidirect
1038. #392C22×C59semidirect
1039. #392C22×C59semidirect
1040. #391C22×C59semidirect
1041. #391C22×C59semidirect
1046. #390C22×C59semidirect
1047. #390C22×C59semidirect
1048. #390C22×C59semidirect
1049. #390C22×C59semidirect
1050. #390C22×C59semidirect
1051. #390C22×C59semidirect
1052. #389C22×C59semidirect
1053. #389C22×C59semidirect
1054. #388C22×C59semidirect
1055. #388C22×C59semidirect
1056. #388C22×C59semidirect
1057. #388C22×C59semidirect
1058. #388C22×C59semidirect
1059. #388C22×C59semidirect
1060. #388C22×C59semidirect
1061. #388C22×C59semidirect
1062. #388C22×C59semidirect
1063. #388C22×C59semidirect
1064. #388C22×C59semidirect
1065. #388C22×C59semidirect
1066. #388C22×C59semidirect
1067. #388C22×C59semidirect
1068. #387C22×C59semidirect
1069. #387C22×C59semidirect
1082. #386C22×C59semidirect
1083. #386C22×C59semidirect
1084. #386C22×C59semidirect
1085. #386C22×C59semidirect
1086. #386C22×C59semidirect
1087. #386C22×C59semidirect
1088. #386C22×C59semidirect
1089. #386C22×C59semidirect
1090. #386C22×C59semidirect
1091. #386C22×C59semidirect
1094. #385C22×C59semidirect
1095. #385C22×C59semidirect
1096. #385C22×C59semidirect
1097. #385C22×C59semidirect
1101. C4×C4⋊C4C22×C59semidirect
1102. C4×C4⋊C4C22×C59semidirect
1103. C4×C4⋊C4C22×C59semidirect
1107. C4×C22⋊C4C22×C59semidirect
1108. C4×C22⋊C4C22×C59semidirect
1109. C4×C22⋊C4C22×C59semidirect
1110. C4×C22⋊C4C22×C59semidirect
1111. C4×C22⋊C4C22×C59semidirect
1112. #376C22×C59semidirect
1115. C2×#95C22×C59semidirect
1116. C59#35392direct (N × H)
1205. C4×D4D4×C59semidirect
1462. C22×C4C2×D4×C59semidirect
1463. C22×C4#41×C59semidirect
1506. C4⋊C4C2×D4×C59semidirect
1561. C22⋊C4C2×D4×C59semidirect
1562. C22⋊C4#41×C59semidirect
1573. C42C2×D4×C59semidirect

Maximal subgroups

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

subgroupindex
C2×C59×#5382
C2×C59×#5252
C59×#26102
C59×#26032
C59×#26022
C59×#26012
C59×#25602
C59×#25572
C59×#25552
C59×#25542
C59×#25492
C59×#25442
C59×#25432
C59×#24722
C59×#24642
C59×#24612
C59×#24452
C59×#24332
C59×#24312
C59×#24302
C59×#24282
C59×#24242
C59×#24082
C59×#23252
C59×#23212
C4×#120×C592
C2×C59×#3862
C59×#22752
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