Finite Group Databasebeta

← C59×#22434 #28434543

Subgroups — C59×#22434 #28434543

Order 15104.

1494 conjugacy classes of subgroups.

The subgroup lattice has 1244 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D4×#41×C59C211yesmaximal, characteristic
2D4×M16×C59C211yesmaximal, characteristic, complemented
3C2×C59×#421C211yesmaximal, characteristic, complemented
4C22×#104×C59C211yesmaximal, characteristic, complemented
5C59×#2290C211yesmaximal, characteristic, complemented
6C59×#1980C211yesmaximal, characteristic, complemented
7C59×#1963C211yesmaximal, characteristic, complemented
8C59×#1897C211yesmaximal, characteristic, complemented
9C59×#1896C211yesmaximal, characteristic, complemented
10C59×#1871C211yesmaximal, characteristic, complemented
11C59×#1871C211yesmaximal, characteristic, complemented
12C59×#1806C211yesmaximal, characteristic, complemented
13C59×#1789C211yesmaximal, characteristic, complemented
14C59×#1789C211yesmaximal, characteristic, complemented
15C59×#1759C211yesmaximal, characteristic, complemented
16C22×#41×C59C2211yescharacteristic
17C22×#41×C59C2211yescharacteristic
18C22×M16×C59C2211yescharacteristic, complemented
19C22×M16×C59C2211yescharacteristic, complemented
20C59×#550C411yescharacteristic, complemented
21D4×Q8×C59C411yescharacteristic, complemented
22C59×#548C411yescharacteristic, complemented
23C59×#548C411yescharacteristic, complemented
24C59×#547—21no—
25C59×#547C411yescharacteristic, complemented
26C59×#546—21no—
27C59×#546—21no—
28C59×#546C411yescharacteristic, complemented
29C59×#546C411yescharacteristic, complemented
30D42×C59—21no—
31D42×C59C411yescharacteristic, complemented
32C59×#532—21no—
33C59×#532C2211yescharacteristic
34C59×#525—21no—
35C59×#525—21no—
36C59×#525C2211yescharacteristic
37C59×#525C2211yescharacteristic
38C4×#41×C59C2211yescharacteristic
39C2×C4×D4×C59—21no—
40C2×C4×D4×C59C2211yescharacteristic
41C2×#117×C59C2211yescharacteristic, complemented
42C22×C42×C59C2211yescharacteristic, complemented
43C59×#436—21no—
44C59×#435—21no—
45C59×#435—21no—
46C8×D4×C59—21no—
47C59×#423C2211yescharacteristic, complemented
48C59×#421—24no—
49C2×#104×C59—24no—
50C2×#104×C59C2211yescharacteristic
51C2×#104×C59C2211yescharacteristic
52C2×#104×C59C2211yescharacteristic
53C2×#104×C59C2211yescharacteristic
54C2×#104×C59C2211yescharacteristic, complemented
55C2×#104×C59C2211yescharacteristic, complemented
56C2×#104×C59C2211yescharacteristic, complemented
57C2×#104×C59C2211yescharacteristic, complemented
58C2×#104×C59C2211yescharacteristic, complemented
59C2×#104×C59C2211yescharacteristic, complemented
60C2×#104×C59C2211yescharacteristic, complemented
61C2×#104×C59C2211yescharacteristic, complemented
62C59×#407C2211yescharacteristic, complemented
63C59×#407C2211yescharacteristic, complemented
64C4×M16×C59C2211yescharacteristic, complemented
65C59×#388—21no—
66C59×#387—21no—
67C59×#386—21no—
68C59×#385—21no—
69C4×C4⋊C4×C59C2211yescharacteristic, complemented
70C4×C22⋊C4×C59C2211yescharacteristic, complemented
71C4×C22⋊C4×C59C2211yescharacteristic, complemented
72C59×#376C2211yescharacteristic, complemented
73C59×#339C2211yescharacteristic, complemented
74C59×#339C2211yescharacteristic, complemented
75C59×#339C2211yescharacteristic, complemented
76C59×#339C2211yescharacteristic, complemented
77C2×#41×C59—21no—
78C2×#41×C59—21no—
79C2×#41×C59—21no—
80C2×#41×C59—21no—
81C2×#41×C59—22no—
82C2×#41×C59—22no—
83C2×#41×C59—22no—
84C2×#41×C59—22no—
85C2×#41×C59—41no—
86C2×#41×C59—41no—
87C2×#41×C59—41no—
88C2×#41×C59—41no—
89C2×#41×C59C2×C411yescharacteristic
90C2×#41×C59C2×C411yescharacteristic
91C2×#41×C59C2×C411yescharacteristic, complemented
92C2×#41×C59C2×C411yescharacteristic, complemented
93C2×#41×C59C2311yescharacteristic
94C2×#41×C59C2311yescharacteristic
95C2×#41×C59C2311yescharacteristic
96C22×Q8×C59C2×C411yescharacteristic
97C22×Q8×C59C2×C411yescharacteristic, complemented
98C22×D4×C59—21no—
99C22×D4×C59—21no—
100C22×D4×C59—21no—
101C22×D4×C59C2×C411yescharacteristic
102C22×D4×C59C2×C411yescharacteristic, complemented
103C22×D4×C59D411yescharacteristic
104C23×C4×C59—21no—
105C23×C4×C59—21no—
106C23×C4×C59—21no—
107C23×C4×C59C2311yescharacteristic
108C23×C4×C59C2311yescharacteristic
109C2×M16×C59—21no—
110C2×M16×C59—21no—
111C2×M16×C59—22no—
112C2×M16×C59—22no—
113C2×M16×C59—41no—
114C2×M16×C59—41no—
115C2×M16×C59C2311yescharacteristic
116C2×M16×C59C2311yescharacteristic
117C2×M16×C59C2311yescharacteristic
118C2×M16×C59C2311yescharacteristic
119C22×C8×C59—21no—
120C22×C8×C59—21no—
121C4⋊Q8×C59—21no—
122C4⋊Q8×C59C2×C411yescharacteristic, complemented
123#127×C59—21no—
124#127×C59C2×C411yescharacteristic, complemented
125#124×C59—21no—
126#124×C59—21no—
127#124×C59C2×C411yescharacteristic, complemented
128#124×C59C2×C411yescharacteristic, complemented
129#123×C59—21no—
130#123×C59—21no—
131#123×C59—21no—
132#123×C59—21no—
133#123×C59—21no—
134#123×C59—21no—
135C22⋊Q8×C59—21no—
136C22⋊Q8×C59—21no—
137C22⋊Q8×C59—21no—
138C22⋊Q8×C59—21no—
139C22⋊Q8×C59C2×C411yescharacteristic
140C22⋊Q8×C59C2×C411yescharacteristic
141C22⋊Q8×C59C2×C411yescharacteristic, complemented
142C22⋊Q8×C59C2×C411yescharacteristic, complemented
143#121×C59—21no—
144#121×C59—21no—
145#121×C59—21no—
146#121×C59—21no—
147#121×C59—21no—
148#121×C59—21no—
149#121×C59—21no—
150#121×C59—21no—
151#121×C59—21no—
152#121×C59—21no—
153#121×C59C2×C411yescharacteristic
154#121×C59C2×C411yescharacteristic
155#121×C59C2×C411yescharacteristic, complemented
156#121×C59C2×C411yescharacteristic, complemented
157#120×C59—21no—
158#120×C59—21no—
159#120×C59—21no—
160#120×C59—21no—
161#120×C59—21no—
162#120×C59—21no—
163C4×Q8×C59C2×C411yescharacteristic, complemented
164C4×Q8×C59C2×C411yescharacteristic, complemented
165C4×D4×C59—21no—
166C4×D4×C59—21no—
167C4×D4×C59—21no—
168C4×D4×C59—21no—
169C4×D4×C59—21no—
170C4×D4×C59—21no—
171C4×D4×C59—21no—
172C4×D4×C59—21no—
173C4×D4×C59—21no—
174C4×D4×C59—21no—
175C4×D4×C59—21no—
176C4×D4×C59—21no—
177C4×D4×C59C2×C411yescharacteristic
178C4×D4×C59C2×C411yescharacteristic
179C4×D4×C59C2×C411yescharacteristic
180C4×D4×C59C2×C411yescharacteristic
181C4×D4×C59C2×C411yescharacteristic, complemented
182C4×D4×C59C2×C411yescharacteristic, complemented
183C4×D4×C59D411yescharacteristic
184C4×D4×C59D411yescharacteristic
185C4×D4×C59D411yescharacteristic
186C4×D4×C59D411yescharacteristic
187#117×C59—21no—
188#117×C59—22no—
189#117×C59—41no—
190#117×C59C2311yescharacteristic
191C2×C4⋊C4×C59—21no—
192C2×C4⋊C4×C59—21no—
193C2×C4⋊C4×C59—21no—
194C2×C4⋊C4×C59D411yescharacteristic
195C2×C22⋊C4×C59—21no—
196C2×C22⋊C4×C59—21no—
197C2×C22⋊C4×C59—21no—
198C2×C22⋊C4×C59—21no—
199C2×C22⋊C4×C59—21no—
200C2×C22⋊C4×C59D411yescharacteristic
201C2×C22⋊C4×C59D411yescharacteristic
202C2×C42×C59—21no—
203C2×C42×C59—22no—
204C2×C42×C59—21no—
205C2×C42×C59—41no—
206C2×C42×C59C2311yescharacteristic
207C2×C42×C59C2311yescharacteristic
208C2×C42×C59C2311yescharacteristic
209C2×C42×C59C2311yescharacteristic
210C2×C42×C59C2311yescharacteristic
211C4⋊C8×C59—21no—
212C4⋊C8×C59—21no—
213#104×C59—22no—
214#104×C59—22no—
215#104×C59—22no—
216#104×C59—22no—
217#104×C59—22no—
218#104×C59—22no—
219#104×C59—22no—
220#104×C59—41no—
221#104×C59—41no—
222#104×C59—41no—
223#104×C59—41no—
224#104×C59D414yescomplemented
225C22⋊C8×C59—21no—
226C22⋊C8×C59—21no—
227C22⋊C8×C59—21no—
228C22⋊C8×C59—21no—
229#97×C59—21no—
230C4×C8×C59—21no—
231#95×C59—21no—
232#95×C59—21no—
233#95×C59—21no—
234#95×C59—21no—
235#95×C59—21no—
236C24×C59—21no—
237C24×C59—21no—
238C24×C59C2×D411yescharacteristic
239C24×C59C2×D411yescharacteristic
240#41×C59—21no—
241#41×C59—21no—
242#41×C59—22no—
243#41×C59—22no—
244#41×C59—22no—
245#41×C59—22no—
246#41×C59—21no—
247#41×C59—21no—
248#41×C59—21no—
249#41×C59—21no—
250#41×C59—21no—
251#41×C59—21no—
252#41×C59—21no—
253#41×C59—21no—
254#41×C59—42no—
255#41×C59—42no—
256#41×C59—42no—
257#41×C59—42no—
258#41×C59—41no—
259#41×C59—41no—
260#41×C59—41no—
261#41×C59—41no—
262#41×C59—42no—
263#41×C59—42no—
264#41×C59—42no—
265#41×C59—42no—
266#41×C59C2×D412yes—
267#41×C59#4112yes—
268C2×Q8×C59—21no—
269C2×Q8×C59—21no—
270C2×Q8×C59—22no—
271C2×Q8×C59—22no—
272C2×Q8×C59—41no—
273C2×Q8×C59—41no—
274C2×Q8×C59C22×C411yescharacteristic
275C2×Q8×C59C22×C411yescharacteristic
276C2×Q8×C59C22×C411yescharacteristic
277C2×D4×C59—21no—
278C2×D4×C59—22no—
279C2×D4×C59—22no—
280C2×D4×C59—21no—
281C2×D4×C59—21no—
282C2×D4×C59—21no—
283C2×D4×C59—21no—
284C2×D4×C59—21no—
285C2×D4×C59—21no—
286C2×D4×C59—21no—
287C2×D4×C59—21no—
288C2×D4×C59—21no—
289C2×D4×C59—21no—
290C2×D4×C59—21no—
291C2×D4×C59—21no—
292C2×D4×C59—21no—
293C2×D4×C59—21no—
294C2×D4×C59—41no—
295C2×D4×C59—41no—
296C2×D4×C59—42no—
297C2×D4×C59—42no—
298C2×D4×C59—42no—
299C2×D4×C59—42no—
300C2×D4×C59—42no—
301C2×D4×C59—44no—
302C2×D4×C59C22⋊C411yescharacteristic
303C2×D4×C59C22⋊C411yescharacteristic
304C2×D4×C59C22⋊C411yescharacteristic
305C2×D4×C59C22⋊C411yescharacteristic
306C2×D4×C59C22×C411yescharacteristic
307C2×D4×C59C22×C411yescharacteristic
308C2×D4×C59C22×C411yescharacteristic
309C22×C4×C59—21no—
310C22×C4×C59—21no—
311C22×C4×C59—21no—
312C22×C4×C59—21no—
313C22×C4×C59—21no—
314C22×C4×C59—21no—
315C22×C4×C59—21no—
316C22×C4×C59—21no—
317C22×C4×C59—21no—
318C22×C4×C59—21no—
319C22×C4×C59—21no—
320C22×C4×C59—21no—
321C22×C4×C59—21no—
322C22×C4×C59—21no—
323C22×C4×C59—21no—
324C22×C4×C59—21no—
325C22×C4×C59—21no—
326C22×C4×C59—21no—
327C22×C4×C59—21no—
328C22×C4×C59—21no—
329C22×C4×C59—21no—
330C22×C4×C59—21no—
331C22×C4×C59—21no—
332C22×C4×C59—42no—
333C22×C4×C59—42no—
334C22×C4×C59—42no—
335C22×C4×C59—42no—
336C22×C4×C59—42no—
337C22×C4×C59—42no—
338C22×C4×C59—42no—
339C22×C4×C59C22×C411yescharacteristic
340C22×C4×C59C22×C411yescharacteristic
341C22×C4×C59C22×C411yescharacteristic
342C22×C4×C59C22×C411yescharacteristic
343C22×C4×C59C2×D411yescharacteristic
344C22×C4×C59C2×D411yescharacteristic
345C22×C4×C59C2×D411yescharacteristic
346C22×C4×C59C2×D411yescharacteristic
347C22×C4×C59C2×D411yescharacteristic
348C22×C4×C59C2×D411yescharacteristic
349C22×C4×C59C2×D411yescharacteristic
350C22×C4×C59C2×D411yescharacteristic
351C22×C4×C59C2411yescharacteristic
352M16×C59—21no—
353M16×C59—21no—
354M16×C59—21no—
355M16×C59—21no—
356M16×C59—21no—
357M16×C59—21no—
358M16×C59—21no—
359M16×C59—42no—
360M16×C59—42no—
361M16×C59C2×D412yescomplemented
362C2×C8×C59—21no—
363C2×C8×C59—21no—
364C2×C8×C59—21no—
365C2×C8×C59—21no—
366C2×C8×C59—42no—
367C2×C8×C59—42no—
368C4⋊C4×C59—21no—
369C4⋊C4×C59—21no—
370C4⋊C4×C59—21no—
371C4⋊C4×C59—21no—
372C4⋊C4×C59—21no—
373C4⋊C4×C59—21no—
374C4⋊C4×C59—21no—
375C4⋊C4×C59—21no—
376C4⋊C4×C59—42no—
377C4⋊C4×C59—42no—
378C4⋊C4×C59C22⋊C411yescharacteristic
379C4⋊C4×C59C22⋊C411yescharacteristic
380C4⋊C4×C59C22⋊C411yescharacteristic
381C4⋊C4×C59C22⋊C411yescharacteristic
382C4⋊C4×C59C22×C411yescharacteristic
383C4⋊C4×C59C22×C411yescharacteristic
384C22⋊C4×C59—21no—
385C22⋊C4×C59—21no—
386C22⋊C4×C59—21no—
387C22⋊C4×C59—21no—
388C22⋊C4×C59—21no—
389C22⋊C4×C59—21no—
390C22⋊C4×C59—21no—
391C22⋊C4×C59—21no—
392C22⋊C4×C59—21no—
393C22⋊C4×C59—21no—
394C22⋊C4×C59—21no—
395C22⋊C4×C59—21no—
396C22⋊C4×C59—21no—
397C22⋊C4×C59—21no—
398C22⋊C4×C59—21no—
399C22⋊C4×C59—42no—
400C22⋊C4×C59—42no—
401C22⋊C4×C59—42no—
402C22⋊C4×C59C22⋊C411yescharacteristic
403C22⋊C4×C59C22⋊C411yescharacteristic
404C22⋊C4×C59C22⋊C411yescharacteristic
405C22⋊C4×C59C22⋊C411yescharacteristic
406C22⋊C4×C59C22⋊C411yescharacteristic
407C22⋊C4×C59C22⋊C411yescharacteristic
408C22⋊C4×C59C22⋊C411yescharacteristic
409C22⋊C4×C59C22⋊C411yescharacteristic
410C42×C59—21no—
411C42×C59—21no—
412C42×C59—21no—
413C42×C59—21no—
414C42×C59—21no—
415C42×C59—21no—
416C42×C59—21no—
417C42×C59—21no—
418C42×C59—21no—
419C42×C59—21no—
420C42×C59—42no—
421C42×C59C22×C411yescharacteristic
422C42×C59C22×C411yescharacteristic
423C42×C59C2×D411yescharacteristic
424C42×C59C2×D411yescharacteristic
425C42×C59C2×D412yescomplemented
426C23×C59—21no—
427C23×C59—21no—
428C23×C59—21no—
429C23×C59—22no—
430C23×C59—21no—
431C23×C59—21no—
432C23×C59—21no—
433C23×C59—21no—
434C23×C59—41no—
435C23×C59—41no—
436C23×C59—41no—
437C23×C59—42no—
438C23×C59—42no—
439C23×C59—42no—
440C23×C59—42no—
441C23×C59—81no—
442C23×C59—81no—
443C23×C59C2×C22⋊C411yescharacteristic
444C23×C59C2×C22⋊C411yescharacteristic
445C23×C59C2×C22⋊C411yescharacteristic
446C23×C59C2×C22⋊C411yescharacteristic
447C23×C59C22×D411yescharacteristic
448Q8×C59—21no—
449Q8×C59—21no—
450Q8×C59—21no—
451Q8×C59—21no—
452Q8×C59—21no—
453Q8×C59—42no—
454Q8×C59—42no—
455Q8×C59C4×D412yes—
456D4×C59—22no—
457D4×C59—22no—
458D4×C59—22no—
459D4×C59—22no—
460D4×C59—21no—
461D4×C59—21no—
462D4×C59—21no—
463D4×C59—21no—
464D4×C59—21no—
465D4×C59—41no—
466D4×C59—41no—
467D4×C59—42no—
468D4×C59—42no—
469D4×C59—42no—
470D4×C59—42no—
471D4×C59—42no—
472D4×C59—42no—
473D4×C59—42no—
474D4×C59—42no—
475D4×C59—41no—
476D4×C59—41no—
477D4×C59—41no—
478D4×C59—41no—
479D4×C59—42no—
480D4×C59—81no—
481D4×C59—81no—
482D4×C59—81no—
483D4×C59C4×D412yes—
484C2×C4×C59—21no—
485C2×C4×C59—21no—
486C2×C4×C59—21no—
487C2×C4×C59—21no—
488C2×C4×C59—21no—
489C2×C4×C59—21no—
490C2×C4×C59—21no—
491C2×C4×C59—21no—
492C2×C4×C59—21no—
493C2×C4×C59—21no—
494C2×C4×C59—21no—
495C2×C4×C59—21no—
496C2×C4×C59—21no—
497C2×C4×C59—21no—
498C2×C4×C59—21no—
499C2×C4×C59—21no—
500C2×C4×C59—21no—
501C2×C4×C59—22no—
502C2×C4×C59—21no—
503C2×C4×C59—21no—
504C2×C4×C59—21no—
505C2×C4×C59—21no—
506C2×C4×C59—22no—
507C2×C4×C59—22no—
508C2×C4×C59—21no—
509C2×C4×C59—21no—
510C2×C4×C59—21no—
511C2×C4×C59—21no—
512C2×C4×C59—22no—
513C2×C4×C59—41no—
514C2×C4×C59—41no—
515C2×C4×C59—42no—
516C2×C4×C59—42no—
517C2×C4×C59—42no—
518C2×C4×C59—42no—
519C2×C4×C59—42no—
520C2×C4×C59—42no—
521C2×C4×C59—42no—
522C2×C4×C59—41no—
523C2×C4×C59—41no—
524C2×C4×C59—41no—
525C2×C4×C59—48no—
526C2×C4×C59—41no—
527C2×C4×C59—41no—
528C2×C4×C59—41no—
529C2×C4×C59—41no—
530C2×C4×C59—41no—
531C2×C4×C59—41no—
532C2×C4×C59—41no—
533C2×C4×C59—41no—
534C2×C4×C59—41no—
535C2×C4×C59—41no—
536C2×C4×C59—41no—
537C2×C4×C59—81no—
538C2×C4×C59C2×C22⋊C411yescharacteristic
539C2×C4×C59C2×C22⋊C411yescharacteristic
540C2×C4×C59C2×C22⋊C411yescharacteristic
541C2×C4×C59C2×C22⋊C411yescharacteristic
542C2×C4×C59C2×C22⋊C411yescharacteristic
543C2×C4×C59C2×C22⋊C411yescharacteristic
544C2×C4×C59C2×C22⋊C411yescharacteristic
545C2×C4×C59C2×C22⋊C411yescharacteristic
546C2×C4×C59C23×C411yescharacteristic
547C2×C4×C59C22×D411yescharacteristic
548C2×C4×C59C22×D411yescharacteristic
549C2×C4×C59C2×#4111yescharacteristic
550C2×C4×C59H(5,𝔽2)11yescharacteristic
551C2×C4×C59H(5,𝔽2)11yescharacteristic
552C8×C59—22no—
553C8×C59—41no—
554C8×C59—41no—
555C8×C59—41no—
556#22434C5911yesmaximal, characteristic, direct product factor, Sylow
557C22×C59—21no—
558C22×C59—21no—
559C22×C59—21no—
560C22×C59—21no—
561C22×C59—21no—
562C22×C59—21no—
563C22×C59—21no—
564C22×C59—22no—
565C22×C59—21no—
566C22×C59—21no—
567C22×C59—21no—
568C22×C59—21no—
569C22×C59—21no—
570C22×C59—21no—
571C22×C59—42no—
572C22×C59—42no—
573C22×C59—41no—
574C22×C59—41no—
575C22×C59—41no—
576C22×C59—41no—
577C22×C59—41no—
578C22×C59—41no—
579C22×C59—41no—
580C22×C59—41no—
581C22×C59—81no—
582C22×C59—81no—
583C22×C59—84no—
584C22×C59—84no—
585C22×C59#42112yescomplemented
586C22×C59C22×C22⋊C411yescharacteristic
587C22×C59D4211yescharacteristic
588C22×C59#54611yescharacteristic
589C4×C59—21no—
590C4×C59—21no—
591C4×C59—21no—
592C4×C59—21no—
593C4×C59—22no—
594C4×C59—21no—
595C4×C59—21no—
596C4×C59—21no—
597C4×C59—21no—
598C4×C59—42no—
599C4×C59—42no—
600C4×C59—41no—
601C4×C59—41no—
602C4×C59—41no—
603C4×C59—41no—
604C4×C59—81no—
605C4×C59—81no—
606C4×C59C2×C4×D411yescharacteristic
607C4×C59#51811yescharacteristic
608C4×C59D4211yescharacteristic
609C4×C59#54611yescharacteristic
610D4×#41C2×C5911yescharacteristic
611D4×M16C2×C5911yescharacteristic, complemented
612C2×#421C2×C5911yescharacteristic, complemented
613C22×#104C2×C5911yescharacteristic, complemented
614#2290C2×C5911yescharacteristic, complemented
615#1980C2×C5911yescharacteristic, complemented
616#1963C2×C5911yescharacteristic, complemented
617#1897C2×C5911yescharacteristic, complemented
618#1896C2×C5911yescharacteristic, complemented
619#1871C2×C5911yescharacteristic, complemented
620#1871C2×C5911yescharacteristic, complemented
621#1806C2×C5911yescharacteristic, complemented
622#1789C2×C5911yescharacteristic, complemented
623#1789C2×C5911yescharacteristic, complemented
624#1759C2×C5911yescharacteristic, complemented
625C2×C59—21no—
626C2×C59—21no—
627C2×C59—22no—
628C2×C59—41no—
629C2×C59—41no—
630C2×C59—41no—
631C2×C59—42no—
632C2×C59—81no—
633C2×C59—81no—
634C2×C59D4×C22⋊C411yescharacteristic
635C2×C59C2×#42111yescharacteristic
636C2×C59#290111yescharacteristic
637C22×#41C22×C5911yescharacteristic
638C22×#41C22×C5911yescharacteristic
639C22×M16C22×C5911yescharacteristic, complemented
640C22×M16C22×C5911yescharacteristic, complemented
641#550C4×C5911yescharacteristic, complemented
642D4×Q8C4×C5911yescharacteristic, complemented
643#548C4×C5911yescharacteristic, complemented
644#548C4×C5911yescharacteristic, complemented
645#547—21no—
646#547C4×C5911yescharacteristic, complemented
647#546—21no—
648#546—21no—
649#546C4×C5911yescharacteristic, complemented
650#546C4×C5911yescharacteristic, complemented
651D42—21no—
652D42C4×C5911yescharacteristic, complemented
653#532—21no—
654#532C22×C5911yescharacteristic
655#525—21no—
656#525—21no—
657#525C22×C5911yescharacteristic
658#525C22×C5911yescharacteristic
659C4×#41C22×C5911yescharacteristic
660C2×C4×D4—21no—
661C2×C4×D4C22×C5911yescharacteristic
662C2×#117C22×C5911yescharacteristic, complemented
663C22×C42C22×C5911yescharacteristic, complemented
664#436—21no—
665#435—21no—
666#435—21no—
667C8×D4—21no—
668#423C22×C5911yescharacteristic, complemented
669#421—24no—
670C2×#104—24no—
671C2×#104C22×C5911yescharacteristic
672C2×#104C22×C5911yescharacteristic
673C2×#104C22×C5911yescharacteristic
674C2×#104C22×C5911yescharacteristic
675C2×#104C22×C5911yescharacteristic, complemented
676C2×#104C22×C5911yescharacteristic, complemented
677C2×#104C22×C5911yescharacteristic, complemented
678C2×#104C22×C5911yescharacteristic, complemented
679C2×#104C22×C5911yescharacteristic, complemented
680C2×#104C22×C5911yescharacteristic, complemented
681C2×#104C22×C5911yescharacteristic, complemented
682C2×#104C22×C5911yescharacteristic, complemented
683#407C22×C5911yescharacteristic, complemented
684#407C22×C5911yescharacteristic, complemented
685C4×M16C22×C5911yescharacteristic, complemented
686#388—21no—
687#387—21no—
688#386—21no—
689#385—21no—
690C4×C4⋊C4C22×C5911yescharacteristic, complemented
691C4×C22⋊C4C22×C5911yescharacteristic, complemented
692C4×C22⋊C4C22×C5911yescharacteristic, complemented
693#376C22×C5911yescharacteristic, complemented
694#339C22×C5911yescharacteristic, complemented
695#339C22×C5911yescharacteristic, complemented
696#339C22×C5911yescharacteristic, complemented
697#339C22×C5911yescharacteristic, complemented
698C59#2243411yescharacteristic, direct product factor, Sylow
699C2×#41—21no—
700C2×#41—21no—
701C2×#41—21no—
702C2×#41—21no—
703C2×#41—22no—
704C2×#41—22no—
705C2×#41—22no—
706C2×#41—22no—
707C2×#41—41no—
708C2×#41—41no—
709C2×#41—41no—
710C2×#41—41no—
711C2×#41C2×C4×C5911yescharacteristic
712C2×#41C2×C4×C5911yescharacteristic
713C2×#41C2×C4×C5911yescharacteristic, complemented
714C2×#41C2×C4×C5911yescharacteristic, complemented
715C2×#41C23×C5911yescharacteristic
716C2×#41C23×C5911yescharacteristic
717C2×#41C23×C5911yescharacteristic
718C22×Q8C2×C4×C5911yescharacteristic
719C22×Q8C2×C4×C5911yescharacteristic, complemented
720C22×D4—21no—
721C22×D4—21no—
722C22×D4—21no—
723C22×D4C2×C4×C5911yescharacteristic
724C22×D4C2×C4×C5911yescharacteristic, complemented
725C22×D4D4×C5911yescharacteristic
726C23×C4—21no—
727C23×C4—21no—
728C23×C4—21no—
729C23×C4C23×C5911yescharacteristic
730C23×C4C23×C5911yescharacteristic
731C2×M16—21no—
732C2×M16—21no—
733C2×M16—22no—
734C2×M16—22no—
735C2×M16—41no—
736C2×M16—41no—
737C2×M16C23×C5911yescharacteristic
738C2×M16C23×C5911yescharacteristic
739C2×M16C23×C5911yescharacteristic
740C2×M16C23×C5911yescharacteristic
741C22×C8—21no—
742C22×C8—21no—
743C4⋊Q8—21no—
744C4⋊Q8C2×C4×C5911yescharacteristic, complemented
745#127—21no—
746#127C2×C4×C5911yescharacteristic, complemented
747#124—21no—
748#124—21no—
749#124C2×C4×C5911yescharacteristic, complemented
750#124C2×C4×C5911yescharacteristic, complemented
751#123—21no—
752#123—21no—
753#123—21no—
754#123—21no—
755#123—21no—
756#123—21no—
757C22⋊Q8—21no—
758C22⋊Q8—21no—
759C22⋊Q8—21no—
760C22⋊Q8—21no—
761C22⋊Q8C2×C4×C5911yescharacteristic
762C22⋊Q8C2×C4×C5911yescharacteristic
763C22⋊Q8C2×C4×C5911yescharacteristic, complemented
764C22⋊Q8C2×C4×C5911yescharacteristic, complemented
765#121—21no—
766#121—21no—
767#121—21no—
768#121—21no—
769#121—21no—
770#121—21no—
771#121—21no—
772#121—21no—
773#121—21no—
774#121—21no—
775#121C2×C4×C5911yescharacteristic
776#121C2×C4×C5911yescharacteristic
777#121C2×C4×C5911yescharacteristic, complemented
778#121C2×C4×C5911yescharacteristic, complemented
779#120—21no—
780#120—21no—
781#120—21no—
782#120—21no—
783#120—21no—
784#120—21no—
785C4×Q8C2×C4×C5911yescharacteristic, complemented
786C4×Q8C2×C4×C5911yescharacteristic, complemented
787C4×D4—21no—
788C4×D4—21no—
789C4×D4—21no—
790C4×D4—21no—
791C4×D4—21no—
792C4×D4—21no—
793C4×D4—21no—
794C4×D4—21no—
795C4×D4—21no—
796C4×D4—21no—
797C4×D4—21no—
798C4×D4—21no—
799C4×D4C2×C4×C5911yescharacteristic
800C4×D4C2×C4×C5911yescharacteristic
801C4×D4C2×C4×C5911yescharacteristic
802C4×D4C2×C4×C5911yescharacteristic
803C4×D4C2×C4×C5911yescharacteristic, complemented
804C4×D4C2×C4×C5911yescharacteristic, complemented
805C4×D4D4×C5911yescharacteristic
806C4×D4D4×C5911yescharacteristic
807C4×D4D4×C5911yescharacteristic
808C4×D4D4×C5911yescharacteristic
809#117—21no—
810#117—22no—
811#117—41no—
812#117C23×C5911yescharacteristic
813C2×C4⋊C4—21no—
814C2×C4⋊C4—21no—
815C2×C4⋊C4—21no—
816C2×C4⋊C4D4×C5911yescharacteristic
817C2×C22⋊C4—21no—
818C2×C22⋊C4—21no—
819C2×C22⋊C4—21no—
820C2×C22⋊C4—21no—
821C2×C22⋊C4—21no—
822C2×C22⋊C4D4×C5911yescharacteristic
823C2×C22⋊C4D4×C5911yescharacteristic
824C2×C42—21no—
825C2×C42—22no—
826C2×C42—21no—
827C2×C42—41no—
828C2×C42C23×C5911yescharacteristic
829C2×C42C23×C5911yescharacteristic
830C2×C42C23×C5911yescharacteristic
831C2×C42C23×C5911yescharacteristic
832C2×C42C23×C5911yescharacteristic
833C4⋊C8—21no—
834C4⋊C8—21no—
835#104—22no—
836#104—22no—
837#104—22no—
838#104—22no—
839#104—22no—
840#104—22no—
841#104—22no—
842#104—41no—
843#104—41no—
844#104—41no—
845#104—41no—
846#104D4×C5914yescomplemented
847C22⋊C8—21no—
848C22⋊C8—21no—
849C22⋊C8—21no—
850C22⋊C8—21no—
851#97—21no—
852C4×C8—21no—
853#95—21no—
854#95—21no—
855#95—21no—
856#95—21no—
857#95—21no—
858C24—21no—
859C24—21no—
860C24C2×D4×C5911yescharacteristic
861C24C2×D4×C5911yescharacteristic
862#41—21no—
863#41—21no—
864#41—22no—
865#41—22no—
866#41—22no—
867#41—22no—
868#41—21no—
869#41—21no—
870#41—21no—
871#41—21no—
872#41—21no—
873#41—21no—
874#41—21no—
875#41—21no—
876#41—42no—
877#41—42no—
878#41—42no—
879#41—42no—
880#41—41no—
881#41—41no—
882#41—41no—
883#41—41no—
884#41—42no—
885#41—42no—
886#41—42no—
887#41—42no—
888#41C2×D4×C5912yes—
889#41#41×C5912yes—
890C2×Q8—21no—
891C2×Q8—21no—
892C2×Q8—22no—
893C2×Q8—22no—
894C2×Q8—41no—
895C2×Q8—41no—
896C2×Q8C22×C4×C5911yescharacteristic
897C2×Q8C22×C4×C5911yescharacteristic
898C2×Q8C22×C4×C5911yescharacteristic
899C2×D4—21no—
900C2×D4—22no—
901C2×D4—22no—
902C2×D4—21no—
903C2×D4—21no—
904C2×D4—21no—
905C2×D4—21no—
906C2×D4—21no—
907C2×D4—21no—
908C2×D4—21no—
909C2×D4—21no—
910C2×D4—21no—
911C2×D4—21no—
912C2×D4—21no—
913C2×D4—21no—
914C2×D4—21no—
915C2×D4—21no—
916C2×D4—41no—
917C2×D4—41no—
918C2×D4—42no—
919C2×D4—42no—
920C2×D4—42no—
921C2×D4—42no—
922C2×D4—42no—
923C2×D4—44no—
924C2×D4C22⋊C4×C5911yescharacteristic
925C2×D4C22⋊C4×C5911yescharacteristic
926C2×D4C22⋊C4×C5911yescharacteristic
927C2×D4C22⋊C4×C5911yescharacteristic
928C2×D4C22×C4×C5911yescharacteristic
929C2×D4C22×C4×C5911yescharacteristic
930C2×D4C22×C4×C5911yescharacteristic
931C22×C4—21no—
932C22×C4—21no—
933C22×C4—21no—
934C22×C4—21no—
935C22×C4—21no—
936C22×C4—21no—
937C22×C4—21no—
938C22×C4—21no—
939C22×C4—21no—
940C22×C4—21no—
941C22×C4—21no—
942C22×C4—21no—
943C22×C4—21no—
944C22×C4—21no—
945C22×C4—21no—
946C22×C4—21no—
947C22×C4—21no—
948C22×C4—21no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—42no—
955C22×C4—42no—
956C22×C4—42no—
957C22×C4—42no—
958C22×C4—42no—
959C22×C4—42no—
960C22×C4—42no—
961C22×C4C22×C4×C5911yescharacteristic
962C22×C4C22×C4×C5911yescharacteristic
963C22×C4C22×C4×C5911yescharacteristic
964C22×C4C22×C4×C5911yescharacteristic
965C22×C4C2×D4×C5911yescharacteristic
966C22×C4C2×D4×C5911yescharacteristic
967C22×C4C2×D4×C5911yescharacteristic
968C22×C4C2×D4×C5911yescharacteristic
969C22×C4C2×D4×C5911yescharacteristic
970C22×C4C2×D4×C5911yescharacteristic
971C22×C4C2×D4×C5911yescharacteristic
972C22×C4C2×D4×C5911yescharacteristic
973C22×C4C24×C5911yescharacteristic
974M16—21no—
975M16—21no—
976M16—21no—
977M16—21no—
978M16—21no—
979M16—21no—
980M16—21no—
981M16—42no—
982M16—42no—
983M16C2×D4×C5912yescomplemented
984C2×C8—21no—
985C2×C8—21no—
986C2×C8—21no—
987C2×C8—21no—
988C2×C8—42no—
989C2×C8—42no—
990C4⋊C4—21no—
991C4⋊C4—21no—
992C4⋊C4—21no—
993C4⋊C4—21no—
994C4⋊C4—21no—
995C4⋊C4—21no—
996C4⋊C4—21no—
997C4⋊C4—21no—
998C4⋊C4—42no—
999C4⋊C4—42no—
1000C4⋊C4C22⋊C4×C5911yescharacteristic
1001C4⋊C4C22⋊C4×C5911yescharacteristic
1002C4⋊C4C22⋊C4×C5911yescharacteristic
1003C4⋊C4C22⋊C4×C5911yescharacteristic
1004C4⋊C4C22×C4×C5911yescharacteristic
1005C4⋊C4C22×C4×C5911yescharacteristic
1006C22⋊C4—21no—
1007C22⋊C4—21no—
1008C22⋊C4—21no—
1009C22⋊C4—21no—
1010C22⋊C4—21no—
1011C22⋊C4—21no—
1012C22⋊C4—21no—
1013C22⋊C4—21no—
1014C22⋊C4—21no—
1015C22⋊C4—21no—
1016C22⋊C4—21no—
1017C22⋊C4—21no—
1018C22⋊C4—21no—
1019C22⋊C4—21no—
1020C22⋊C4—21no—
1021C22⋊C4—42no—
1022C22⋊C4—42no—
1023C22⋊C4—42no—
1024C22⋊C4C22⋊C4×C5911yescharacteristic
1025C22⋊C4C22⋊C4×C5911yescharacteristic
1026C22⋊C4C22⋊C4×C5911yescharacteristic
1027C22⋊C4C22⋊C4×C5911yescharacteristic
1028C22⋊C4C22⋊C4×C5911yescharacteristic
1029C22⋊C4C22⋊C4×C5911yescharacteristic
1030C22⋊C4C22⋊C4×C5911yescharacteristic
1031C22⋊C4C22⋊C4×C5911yescharacteristic
1032C42—21no—
1033C42—21no—
1034C42—21no—
1035C42—21no—
1036C42—21no—
1037C42—21no—
1038C42—21no—
1039C42—21no—
1040C42—21no—
1041C42—21no—
1042C42—42no—
1043C42C22×C4×C5911yescharacteristic
1044C42C22×C4×C5911yescharacteristic
1045C42C2×D4×C5911yescharacteristic
1046C42C2×D4×C5911yescharacteristic
1047C42C2×D4×C5912yescomplemented
1048C23—22no—
1049C23—21no—
1050C23—21no—
1051C23—21no—
1052C23—21no—
1053C23—21no—
1054C23—21no—
1055C23—21no—
1056C23—41no—
1057C23—41no—
1058C23—41no—
1059C23—42no—
1060C23—42no—
1061C23—42no—
1062C23—42no—
1063C23—81no—
1064C23—81no—
1065C23C2×C22⋊C4×C5911yescharacteristic
1066C23C2×C22⋊C4×C5911yescharacteristic
1067C23C2×C22⋊C4×C5911yescharacteristic
1068C23C2×C22⋊C4×C5911yescharacteristic
1069C23C22×D4×C5911yescharacteristic
1070Q8—21no—
1071Q8—21no—
1072Q8—21no—
1073Q8—21no—
1074Q8—21no—
1075Q8—42no—
1076Q8—42no—
1077Q8C4×D4×C5912yes—
1078D4—22no—
1079D4—22no—
1080D4—22no—
1081D4—22no—
1082D4—21no—
1083D4—21no—
1084D4—21no—
1085D4—21no—
1086D4—21no—
1087D4—41no—
1088D4—41no—
1089D4—42no—
1090D4—42no—
1091D4—42no—
1092D4—42no—
1093D4—42no—
1094D4—42no—
1095D4—42no—
1096D4—42no—
1097D4—42no—
1098D4—41no—
1099D4—41no—
1100D4—41no—
1101D4—41no—
1102D4—81no—
1103D4—81no—
1104D4—81no—
1105D4C4×D4×C5912yes—
1106C2×C4—21no—
1107C2×C4—21no—
1108C2×C4—21no—
1109C2×C4—21no—
1110C2×C4—21no—
1111C2×C4—21no—
1112C2×C4—21no—
1113C2×C4—21no—
1114C2×C4—21no—
1115C2×C4—21no—
1116C2×C4—21no—
1117C2×C4—21no—
1118C2×C4—21no—
1119C2×C4—21no—
1120C2×C4—21no—
1121C2×C4—21no—
1122C2×C4—21no—
1123C2×C4—22no—
1124C2×C4—21no—
1125C2×C4—21no—
1126C2×C4—21no—
1127C2×C4—21no—
1128C2×C4—22no—
1129C2×C4—22no—
1130C2×C4—21no—
1131C2×C4—21no—
1132C2×C4—21no—
1133C2×C4—21no—
1134C2×C4—22no—
1135C2×C4—41no—
1136C2×C4—41no—
1137C2×C4—42no—
1138C2×C4—42no—
1139C2×C4—42no—
1140C2×C4—42no—
1141C2×C4—42no—
1142C2×C4—42no—
1143C2×C4—42no—
1144C2×C4—41no—
1145C2×C4—41no—
1146C2×C4—41no—
1147C2×C4—48no—
1148C2×C4—41no—
1149C2×C4—41no—
1150C2×C4—41no—
1151C2×C4—41no—
1152C2×C4—41no—
1153C2×C4—41no—
1154C2×C4—41no—
1155C2×C4—41no—
1156C2×C4—41no—
1157C2×C4—41no—
1158C2×C4—41no—
1159C2×C4—81no—
1160C2×C4C2×C22⋊C4×C5911yescharacteristic
1161C2×C4C2×C22⋊C4×C5911yescharacteristic
1162C2×C4C2×C22⋊C4×C5911yescharacteristic
1163C2×C4C2×C22⋊C4×C5911yescharacteristic
1164C2×C4C2×C22⋊C4×C5911yescharacteristic
1165C2×C4C2×C22⋊C4×C5911yescharacteristic
1166C2×C4C2×C22⋊C4×C5911yescharacteristic
1167C2×C4C2×C22⋊C4×C5911yescharacteristic
1168C2×C4C23×C4×C5911yescharacteristic
1169C2×C4C22×D4×C5911yescharacteristic
1170C2×C4C22×D4×C5911yescharacteristic
1171C2×C4C2×#41×C5911yescharacteristic
1172C2×C4H(5,𝔽2)×C5911yescharacteristic
1173C2×C4H(5,𝔽2)×C5911yescharacteristic
1174C8—22no—
1175C8—41no—
1176C8—41no—
1177C8—41no—
1178C22—21no—
1179C22—21no—
1180C22—21no—
1181C22—21no—
1182C22—21no—
1183C22—21no—
1184C22—21no—
1185C22—22no—
1186C22—21no—
1187C22—21no—
1188C22—21no—
1189C22—21no—
1190C22—21no—
1191C22—21no—
1192C22—42no—
1193C22—42no—
1194C22—41no—
1195C22—41no—
1196C22—41no—
1197C22—41no—
1198C22—41no—
1199C22—41no—
1200C22—41no—
1201C22—41no—
1202C22—81no—
1203C22—81no—
1204C22—84no—
1205C22—84no—
1206C22C59×#42112yescomplemented
1207C22C22×C22⋊C4×C5911yescharacteristic
1208C22D42×C5911yescharacteristic
1209C22C59×#54611yescharacteristic
1210C4—21no—
1211C4—21no—
1212C4—21no—
1213C4—21no—
1214C4—22no—
1215C4—21no—
1216C4—21no—
1217C4—21no—
1218C4—21no—
1219C4—42no—
1220C4—42no—
1221C4—41no—
1222C4—41no—
1223C4—41no—
1224C4—41no—
1225C4—81no—
1226C4—81no—
1227C4C2×C4×D4×C5911yescharacteristic
1228C4C59×#51811yescharacteristic
1229C4D42×C5911yescharacteristic
1230C4C59×#54611yescharacteristic
1231C2—21no—
1232C2—21no—
1233C2—22no—
1234C2—41no—
1235C2—41no—
1236C2—41no—
1237C2—42no—
1238C2—81no—
1239C2—81no—
1240C2D4×C22⋊C4×C5911yescharacteristic
1241C2C2×C59×#42111yescharacteristic
1242C2C59×#290111yescharacteristic
subgroupG/H
centerC2×C4×C59C22×D4
commutatorC2×C4C23×C4×C59
Frattini, cosocleC22×C4C24×C59
socleC22×C59C22×C22⋊C4
prime radicalD4×#41×C59C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C59 ◁ C2×C4×D4×C59 ◁ G

Complements

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

NH ≅ G/Ntype
2. D4×M16×C59C2semidirect
3. C2×C59×#421C2semidirect
4. C22×#104×C59C2semidirect
5. C59×#2290C2semidirect
6. C59×#1980C2semidirect
7. C59×#1963C2semidirect
8. C59×#1897C2semidirect
9. C59×#1896C2semidirect
10. C59×#1871C2semidirect
11. C59×#1871C2semidirect
12. C59×#1806C2semidirect
13. C59×#1789C2semidirect
14. C59×#1789C2semidirect
15. C59×#1759C2semidirect
18. C22×M16×C59C22semidirect
19. C22×M16×C59C22semidirect
20. C59×#550C4semidirect
21. D4×Q8×C59C4semidirect
22. C59×#548C4semidirect
23. C59×#548C4semidirect
25. C59×#547C4semidirect
28. C59×#546C4semidirect
29. C59×#546C4semidirect
31. D42×C59C4semidirect
41. C2×#117×C59C22semidirect
42. C22×C42×C59C22semidirect
47. C59×#423C22semidirect
54. C2×#104×C59C22semidirect
55. C2×#104×C59C22semidirect
56. C2×#104×C59C22semidirect
57. C2×#104×C59C22semidirect
58. C2×#104×C59C22semidirect
59. C2×#104×C59C22semidirect
60. C2×#104×C59C22semidirect
61. C2×#104×C59C22semidirect
62. C59×#407C22semidirect
63. C59×#407C22semidirect
64. C4×M16×C59C22semidirect
69. C4×C4⋊C4×C59C22semidirect
70. C4×C22⋊C4×C59C22semidirect
71. C4×C22⋊C4×C59C22semidirect
72. C59×#376C22semidirect
73. C59×#339C22semidirect
74. C59×#339C22semidirect
75. C59×#339C22semidirect
76. C59×#339C22semidirect
91. C2×#41×C59C2×C4semidirect
92. C2×#41×C59C2×C4semidirect
97. C22×Q8×C59C2×C4semidirect
102. C22×D4×C59C2×C4semidirect
122. C4⋊Q8×C59C2×C4semidirect
124. #127×C59C2×C4semidirect
127. #124×C59C2×C4semidirect
128. #124×C59C2×C4semidirect
141. C22⋊Q8×C59C2×C4semidirect
142. C22⋊Q8×C59C2×C4semidirect
155. #121×C59C2×C4semidirect
156. #121×C59C2×C4semidirect
163. C4×Q8×C59C2×C4semidirect
164. C4×Q8×C59C2×C4semidirect
181. C4×D4×C59C2×C4semidirect
182. C4×D4×C59C2×C4semidirect
224. #104×C59D4semidirect
361. M16×C59C2×D4semidirect
425. C42×C59C2×D4semidirect
556. #22434C59direct (N × H)
585. C22×C59#421semidirect
611. D4×M16C2×C59semidirect
612. C2×#421C2×C59semidirect
613. C22×#104C2×C59semidirect
614. #2290C2×C59semidirect
615. #1980C2×C59semidirect
616. #1963C2×C59semidirect
617. #1897C2×C59semidirect
618. #1896C2×C59semidirect
619. #1871C2×C59semidirect
620. #1871C2×C59semidirect
621. #1806C2×C59semidirect
622. #1789C2×C59semidirect
623. #1789C2×C59semidirect
624. #1759C2×C59semidirect
639. C22×M16C22×C59semidirect
640. C22×M16C22×C59semidirect
641. #550C4×C59semidirect
642. D4×Q8C4×C59semidirect
643. #548C4×C59semidirect
644. #548C4×C59semidirect
646. #547C4×C59semidirect
649. #546C4×C59semidirect
650. #546C4×C59semidirect
652. D42C4×C59semidirect
662. C2×#117C22×C59semidirect
663. C22×C42C22×C59semidirect
668. #423C22×C59semidirect
675. C2×#104C22×C59semidirect
676. C2×#104C22×C59semidirect
677. C2×#104C22×C59semidirect
678. C2×#104C22×C59semidirect
679. C2×#104C22×C59semidirect
680. C2×#104C22×C59semidirect
681. C2×#104C22×C59semidirect
682. C2×#104C22×C59semidirect
683. #407C22×C59semidirect
684. #407C22×C59semidirect
685. C4×M16C22×C59semidirect
690. C4×C4⋊C4C22×C59semidirect
691. C4×C22⋊C4C22×C59semidirect
692. C4×C22⋊C4C22×C59semidirect
693. #376C22×C59semidirect
694. #339C22×C59semidirect
695. #339C22×C59semidirect
696. #339C22×C59semidirect
697. #339C22×C59semidirect
698. C59#22434direct (N × H)
713. C2×#41C2×C4×C59semidirect
714. C2×#41C2×C4×C59semidirect
719. C22×Q8C2×C4×C59semidirect
724. C22×D4C2×C4×C59semidirect
744. C4⋊Q8C2×C4×C59semidirect
746. #127C2×C4×C59semidirect
749. #124C2×C4×C59semidirect
750. #124C2×C4×C59semidirect
763. C22⋊Q8C2×C4×C59semidirect
764. C22⋊Q8C2×C4×C59semidirect
777. #121C2×C4×C59semidirect
778. #121C2×C4×C59semidirect
785. C4×Q8C2×C4×C59semidirect
786. C4×Q8C2×C4×C59semidirect
803. C4×D4C2×C4×C59semidirect
804. C4×D4C2×C4×C59semidirect
846. #104D4×C59semidirect
983. M16C2×D4×C59semidirect
1047. C42C2×D4×C59semidirect
1206. C22C59×#421semidirect

Maximal subgroups

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

subgroupindex
D4×#41×C592
D4×M16×C592
C2×C59×#4212
C22×#104×C592
C59×#22902
C59×#19802
C59×#19632
C59×#18972
C59×#18962
C59×#18712
C59×#18062
C59×#17892
C59×#17592
#2243459