Finite Group Databasebeta

← C59×#62059 #28474168

Subgroups — C59×#62059 #28474168

Order 15104.

1810 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C59×#3562C211yesmaximal, characteristic, complemented
2C59×#3521C211yesmaximal, characteristic, complemented
3C59×#3401C211yesmaximal, characteristic, complemented
4C59×#3393C211yesmaximal, characteristic, complemented
5C59×#3376C211yesmaximal, characteristic, complemented
6C59×#3361C211yesmaximal, characteristic, complemented
7C59×#3327C211yesmaximal, characteristic, complemented
8C59×#3313C211yesmaximal, characteristic, complemented
9C59×#3307C211yesmaximal, characteristic, complemented
10C59×#3304C211yesmaximal, characteristic, complemented
11C59×#3297C211yesmaximal, characteristic, complemented
12C59×#3296C211yesmaximal, characteristic, complemented
13C59×#3283C211yesmaximal, characteristic, complemented
14C59×#3282C211yesmaximal, characteristic, complemented
15C59×#3282C211yesmaximal, characteristic, complemented
16C59×#3273C211yesmaximal, characteristic, complemented
17C59×#3268C211yesmaximal, characteristic, complemented
18C59×#3267C211yesmaximal, characteristic, complemented
19C59×#3260C211yesmaximal, characteristic, complemented
20C59×#3258C211yesmaximal, characteristic, complemented
21C59×#3250C211yesmaximal, characteristic, complemented
22C59×#3224C211yesmaximal, characteristic, complemented
23C59×#3223C211yesmaximal, characteristic, complemented
24C59×#3212C211yesmaximal, characteristic, complemented
25C59×#3122C211yesmaximal, characteristic, complemented
26C59×#3120C211yesmaximal, characteristic, complemented
27C59×#3102C211yesmaximal, characteristic, complemented
28C59×#3045C211yesmaximal, characteristic, complemented
29C59×#3042C211yesmaximal, characteristic, complemented
30C59×#3035C211yesmaximal, characteristic, complemented
31C59×#2994C211yesmaximal, characteristic, complemented
32C2×AGL(1,ℤ/8)×C59C2211yescharacteristic
33C2×AGL(1,ℤ/8)×C59C2211yescharacteristic
34C2×#135×C59C2211yescharacteristic
35C2×#135×C59C2211yescharacteristic
36C2×#135×C59C2211yescharacteristic, complemented
37C22×SD16×C59C2211yescharacteristic, complemented
38C59×#562—21no—
39C59×#560—21no—
40C59×#559C2211yescharacteristic, complemented
41C59×#556C2211yescharacteristic, complemented
42C59×#556C2211yescharacteristic, complemented
43C59×#556C2211yescharacteristic, complemented
44C59×#554C2211yescharacteristic, complemented
45C59×#553—21no—
46C59×#553—21no—
47C59×#553C2211yescharacteristic
48C59×#552—21no—
49C59×#552C2211yescharacteristic
50C59×#551—21no—
51C59×#551—21no—
52C59×#551—21no—
53C59×#550C2211yescharacteristic
54C59×#548C2211yescharacteristic
55C59×#548C2211yescharacteristic
56C59×#547C2211yescharacteristic
57C59×#547C2211yescharacteristic, complemented
58C59×#546C2211yescharacteristic
59C59×#546C2211yescharacteristic
60C59×#546C2211yescharacteristic, complemented
61C59×#546C2211yescharacteristic, complemented
62C59×#542C2211yescharacteristic
63C59×#541C2211yescharacteristic, complemented
64C59×#541C2211yescharacteristic, complemented
65C59×#540—21no—
66C59×#540C2211yescharacteristic
67C59×#539—21no—
68C59×#539—21no—
69C59×#538—21no—
70C59×#538—21no—
71C59×#538—21no—
72C59×#536C2211yescharacteristic
73C59×#535C2211yescharacteristic, complemented
74C59×#532C2211yescharacteristic, complemented
75C59×#529—21no—
76C59×#529C2211yescharacteristic
77C59×#529C2211yescharacteristic, complemented
78C59×#529C2211yescharacteristic, complemented
79C2×#126×C59—21no—
80C59×#520C2211yescharacteristic
81C59×#518C2211yescharacteristic, complemented
82C4×#41×C59C2211yescharacteristic, complemented
83C59×#497C2211yescharacteristic, complemented
84C59×#496C2211yescharacteristic
85C59×#495C2211yescharacteristic
86C59×#495C2211yescharacteristic
87C59×#495C2211yescharacteristic, complemented
88C59×#494C2211yescharacteristic, complemented
89C59×#491C2211yescharacteristic, complemented
90C59×#489C2211yescharacteristic, complemented
91C59×#488C2211yescharacteristic, complemented
92C59×#488C2211yescharacteristic, complemented
93C59×#488C2211yescharacteristic, complemented
94C59×#486C2211yescharacteristic, complemented
95C59×#485C2211yescharacteristic, complemented
96C59×#484C2211yescharacteristic, complemented
97C59×#483C2211yescharacteristic, complemented
98C59×#482C2211yescharacteristic
99C59×#482C2211yescharacteristic, complemented
100C59×#482C2211yescharacteristic, complemented
101C59×#479C2211yescharacteristic, complemented
102C59×#479C2211yescharacteristic, complemented
103C59×#479C2211yescharacteristic, complemented
104C59×#478C2211yescharacteristic, complemented
105C59×#478C2211yescharacteristic, complemented
106C59×#478C2211yescharacteristic, complemented
107C59×#478C2211yescharacteristic, complemented
108C59×#478C2211yescharacteristic, complemented
109C59×#477C2211yescharacteristic, complemented
110C59×#475C2211yescharacteristic, complemented
111C59×#470C2211yescharacteristic, complemented
112C59×#468C2211yescharacteristic
113C59×#468C2211yescharacteristic
114C59×#468C2211yescharacteristic, complemented
115C59×#467C2211yescharacteristic, complemented
116C59×#467C2211yescharacteristic, complemented
117C59×#466C2211yescharacteristic
118C59×#465C2211yescharacteristic
119C59×#465C2211yescharacteristic
120C59×#465C2211yescharacteristic, complemented
121C59×#465C2211yescharacteristic, complemented
122C59×#465C2211yescharacteristic, complemented
123C59×#464C2211yescharacteristic, complemented
124C59×#464C2211yescharacteristic, complemented
125C59×#464C2211yescharacteristic, complemented
126C59×#464C2211yescharacteristic, complemented
127C59×#464C2211yescharacteristic, complemented
128C59×#464C2211yescharacteristic, complemented
129C59×#464C2211yescharacteristic, complemented
130C59×#464C2211yescharacteristic, complemented
131C59×#463C2211yescharacteristic
132C59×#463C2211yescharacteristic
133C59×#463C2211yescharacteristic
134C59×#463C2211yescharacteristic
135C59×#463C2211yescharacteristic
136C59×#463C2211yescharacteristic
137C59×#463C2211yescharacteristic
138C59×#463C2211yescharacteristic, complemented
139C59×#462C2211yescharacteristic, complemented
140C59×#462C2211yescharacteristic, complemented
141C59×#461C2211yescharacteristic, complemented
142C59×#461C2211yescharacteristic, complemented
143C59×#461C2211yescharacteristic, complemented
144C59×#461C2211yescharacteristic, complemented
145C59×#461C2211yescharacteristic, complemented
146C59×#461C2211yescharacteristic, complemented
147C59×#460C2211yescharacteristic, complemented
148C59×#460C2211yescharacteristic, complemented
149C59×#460C2211yescharacteristic, complemented
150C59×#459C2211yescharacteristic
151C59×#459C2211yescharacteristic
152C59×#459C2211yescharacteristic
153C59×#452C2211yescharacteristic
154C59×#452C2211yescharacteristic
155C59×#452C2211yescharacteristic
156C59×#452C2211yescharacteristic
157C59×#452C2211yescharacteristic, complemented
158C59×#452C2211yescharacteristic, complemented
159C59×#452C2211yescharacteristic, complemented
160C59×#452C2211yescharacteristic, complemented
161C59×#451C2211yescharacteristic, complemented
162C59×#451C2211yescharacteristic, complemented
163C59×#450C2211yescharacteristic, complemented
164C59×#449C2211yescharacteristic
165C59×#449C2211yescharacteristic
166C59×#449C2211yescharacteristic
167C59×#449C2211yescharacteristic, complemented
168C59×#447C2211yescharacteristic
169C59×#447C2211yescharacteristic
170C59×#447C2211yescharacteristic, complemented
171C59×#446C2211yescharacteristic, complemented
172C8×Q8×C59C2211yescharacteristic, complemented
173C59×#442C2211yescharacteristic
174C59×#442C2211yescharacteristic, complemented
175C59×#441C2211yescharacteristic, complemented
176C59×#440C2211yescharacteristic, complemented
177C4×Q16×C59C2211yescharacteristic, complemented
178C4×Q16×C59C2211yescharacteristic, complemented
179C4×SD16×C59C2211yescharacteristic, complemented
180C4×SD16×C59C2211yescharacteristic, complemented
181C4×SD16×C59C2211yescharacteristic, complemented
182C4×D8×C59C2211yescharacteristic
183C4×D8×C59C2211yescharacteristic
184C4×D8×C59C2211yescharacteristic, complemented
185C59×#436C2211yescharacteristic
186C59×#435C2211yescharacteristic, complemented
187C59×#435C2211yescharacteristic, complemented
188C8×D4×C59C2211yescharacteristic
189C8×D4×C59C2211yescharacteristic, complemented
190C8×D4×C59C2211yescharacteristic, complemented
191C59×#433C2211yescharacteristic, complemented
192C59×#433C2211yescharacteristic, complemented
193C59×#431C2211yescharacteristic, complemented
194C59×#424C2211yescharacteristic, complemented
195C59×#424C2211yescharacteristic, complemented
196C2×C4⋊C8×C59C2211yescharacteristic, complemented
197C59×#419C2211yescharacteristic, complemented
198C59×#417C2211yescharacteristic, complemented
199C59×#416C2211yescharacteristic
200C59×#416C2211yescharacteristic, complemented
201C59×#416C2211yescharacteristic, complemented
202C2×#102×C59C2211yescharacteristic, complemented
203C2×#41×C59C2311yescharacteristic
204C2×#41×C59C2311yescharacteristic
205C2×#41×C59C2311yescharacteristic
206C2×#41×C59C2311yescharacteristic
207C2×#41×C59C2311yescharacteristic
208C2×#41×C59C2311yescharacteristic
209C22×Q8×C59C2311yescharacteristic
210C22×D4×C59C2311yescharacteristic
211C22×D4×C59C2311yescharacteristic
212AGL(1,ℤ/8)×C59—42no—
213AGL(1,ℤ/8)×C59—42no—
214#135×C59—42no—
215#135×C59—42no—
216#135×C59—42no—
217C2×Q16×C59C2311yescharacteristic
218C2×Q16×C59C2311yescharacteristic
219C2×Q16×C59C2311yescharacteristic
220C2×Q16×C59C2311yescharacteristic
221C2×Q16×C59C2311yescharacteristic
222C2×Q16×C59C2311yescharacteristic
223C2×SD16×C59—42no—
224C2×SD16×C59C2311yescharacteristic
225C2×SD16×C59C2311yescharacteristic
226C2×SD16×C59C2311yescharacteristic
227C2×SD16×C59C2311yescharacteristic
228C2×SD16×C59C2311yescharacteristic
229C2×SD16×C59C2311yescharacteristic
230C2×SD16×C59C2311yescharacteristic
231C2×SD16×C59C2311yescharacteristic
232C2×SD16×C59C2311yescharacteristic
233C2×SD16×C59C2311yescharacteristic
234C2×SD16×C59C2311yescharacteristic
235C2×SD16×C59C2311yescharacteristic
236C2×D8×C59C2311yescharacteristic
237C2×D8×C59C2311yescharacteristic
238C2×D8×C59C2311yescharacteristic
239C2×D8×C59C2311yescharacteristic
240C2×D8×C59C2311yescharacteristic
241C2×D8×C59C2311yescharacteristic
242C2×M16×C59C2311yescharacteristic
243C2×M16×C59C2311yescharacteristic
244C22×C8×C59C2311yescharacteristic
245C22×C8×C59C2311yescharacteristic
246C22×C8×C59C2311yescharacteristic
247C22×C8×C59C2311yescharacteristic
248C4⋊Q8×C59C2311yescharacteristic
249C4⋊Q8×C59C2311yescharacteristic
250C4⋊Q8×C59C2311yescharacteristic
251C4⋊Q8×C59C2311yescharacteristic
252#127×C59—21no—
253#127×C59C2311yescharacteristic
254#127×C59C2311yescharacteristic
255#126×C59—21no—
256#126×C59—21no—
257#126×C59—21no—
258#126×C59—21no—
259#126×C59—21no—
260#126×C59—21no—
261#126×C59—21no—
262#126×C59—21no—
263#126×C59—21no—
264#126×C59—21no—
265#126×C59—21no—
266#126×C59—21no—
267#126×C59—21no—
268#126×C59—21no—
269#126×C59—21no—
270#126×C59D411yescharacteristic
271#126×C59D411yescharacteristic
272#125×C59—21no—
273#125×C59—21no—
274#125×C59—21no—
275#125×C59—21no—
276#125×C59—21no—
277#125×C59D411yescharacteristic
278#125×C59C2311yescharacteristic
279#125×C59C2311yescharacteristic
280#125×C59C2311yescharacteristic
281#124×C59—21no—
282#124×C59—21no—
283#124×C59—21no—
284#124×C59—21no—
285#124×C59—21no—
286#124×C59D411yescharacteristic
287#124×C59C2311yescharacteristic
288#124×C59C2311yescharacteristic
289#124×C59C2311yescharacteristic
290#124×C59C2311yescharacteristic
291#124×C59C2311yescharacteristic
292#124×C59C2311yescharacteristic
293#124×C59C2311yescharacteristic
294#123×C59—21no—
295#123×C59—21no—
296#123×C59—21no—
297#123×C59—21no—
298#123×C59—21no—
299#123×C59—21no—
300#123×C59—21no—
301#123×C59—21no—
302#123×C59—21no—
303#123×C59—21no—
304#123×C59—21no—
305#123×C59—21no—
306#123×C59—21no—
307#123×C59—21no—
308#123×C59—21no—
309#123×C59—21no—
310#123×C59—21no—
311#123×C59—21no—
312#123×C59—21no—
313#123×C59D411yescharacteristic
314#123×C59D411yescharacteristic
315C22⋊Q8×C59—21no—
316C22⋊Q8×C59—21no—
317C22⋊Q8×C59—21no—
318C22⋊Q8×C59—21no—
319C22⋊Q8×C59—21no—
320C22⋊Q8×C59—21no—
321C22⋊Q8×C59—21no—
322C22⋊Q8×C59—21no—
323C22⋊Q8×C59—21no—
324C22⋊Q8×C59—21no—
325C22⋊Q8×C59D411yescharacteristic
326C22⋊Q8×C59C2311yescharacteristic
327C22⋊Q8×C59C2311yescharacteristic
328C22⋊Q8×C59C2311yescharacteristic
329C22⋊Q8×C59C2311yescharacteristic
330C22⋊Q8×C59C2311yescharacteristic
331C22⋊Q8×C59C2311yescharacteristic
332C22⋊Q8×C59C2311yescharacteristic
333#121×C59—21no—
334#121×C59—21no—
335#121×C59—21no—
336#121×C59—21no—
337#121×C59—21no—
338#121×C59—21no—
339#121×C59—21no—
340#121×C59—21no—
341#121×C59—21no—
342#121×C59—21no—
343#121×C59—21no—
344#121×C59—21no—
345#121×C59—21no—
346#121×C59—21no—
347#121×C59—21no—
348#121×C59—21no—
349#121×C59—21no—
350#121×C59D411yescharacteristic
351#121×C59C2311yescharacteristic
352#121×C59C2311yescharacteristic
353#121×C59C2311yescharacteristic
354#121×C59C2311yescharacteristic
355#121×C59C2311yescharacteristic
356#120×C59—21no—
357#120×C59—21no—
358#120×C59—21no—
359#120×C59—21no—
360#120×C59—21no—
361#120×C59—21no—
362C4×Q8×C59—21no—
363C4×Q8×C59C2311yescharacteristic
364C4×Q8×C59C2311yescharacteristic
365C4×Q8×C59C2311yescharacteristic
366C4×Q8×C59C2311yescharacteristic
367C4×Q8×C59C2311yescharacteristic
368C4×Q8×C59C2311yescharacteristic
369C4×Q8×C59C2311yescharacteristic
370C4×Q8×C59C2311yescharacteristic
371C4×D4×C59—21no—
372C4×D4×C59—21no—
373C4×D4×C59—21no—
374C4×D4×C59—21no—
375C4×D4×C59—21no—
376C4×D4×C59—21no—
377C4×D4×C59—21no—
378C4×D4×C59—21no—
379C4×D4×C59—21no—
380C4×D4×C59—21no—
381C4×D4×C59—21no—
382C4×D4×C59—21no—
383C4×D4×C59—21no—
384C4×D4×C59—21no—
385C4×D4×C59—21no—
386C4×D4×C59C2311yescharacteristic
387C4×D4×C59C2311yescharacteristic
388C4×D4×C59C2311yescharacteristic
389C4×D4×C59C2311yescharacteristic
390C4×D4×C59C2311yescharacteristic
391C4×D4×C59C2311yescharacteristic
392C4×D4×C59C2311yescharacteristic
393C4×D4×C59C2311yescharacteristic
394C4×D4×C59C2311yescharacteristic
395C4×D4×C59C2311yescharacteristic
396C4×D4×C59C2311yescharacteristic
397C4×D4×C59C2311yescharacteristic
398#117×C59—21no—
399#117×C59—21no—
400#117×C59—21no—
401#117×C59—21no—
402#117×C59—21no—
403#117×C59—21no—
404#117×C59—21no—
405#117×C59C2311yescharacteristic
406#117×C59C2311yescharacteristic
407#117×C59C2311yescharacteristic
408#117×C59C2311yescharacteristic
409C2×C4⋊C4×C59—21no—
410C2×C4⋊C4×C59—21no—
411C2×C4⋊C4×C59—21no—
412C2×C4⋊C4×C59—21no—
413C2×C4⋊C4×C59C2311yescharacteristic
414C2×C22⋊C4×C59—21no—
415C2×C22⋊C4×C59—21no—
416C2×C22⋊C4×C59—21no—
417C2×C22⋊C4×C59—21no—
418C2×C22⋊C4×C59—21no—
419C2×C22⋊C4×C59—21no—
420C2×C42×C59—21no—
421C2×C42×C59C2311yescharacteristic
422#107×C59C2311yescharacteristic
423#107×C59C2311yescharacteristic
424#107×C59C2311yescharacteristic
425#107×C59C2311yescharacteristic
426#106×C59C2311yescharacteristic
427#106×C59C2311yescharacteristic
428#106×C59C2311yescharacteristic
429#106×C59C2311yescharacteristic
430C4⋊C8×C59C2311yescharacteristic
431C4⋊C8×C59C2311yescharacteristic
432C4⋊C8×C59C2311yescharacteristic
433C4⋊C8×C59C2311yescharacteristic
434C4⋊C8×C59C2311yescharacteristic
435C4⋊C8×C59C2311yescharacteristic
436C4⋊C8×C59C2311yescharacteristic
437C4⋊C8×C59C2311yescharacteristic
438C4⋊C8×C59C2311yescharacteristic
439C4⋊C8×C59C2311yescharacteristic
440#103×C59C2311yescharacteristic
441#103×C59C2311yescharacteristic
442#103×C59C2311yescharacteristic
443#103×C59C2311yescharacteristic
444#103×C59C2311yescharacteristic
445#103×C59C2311yescharacteristic
446#103×C59C2311yescharacteristic
447#103×C59C2311yescharacteristic
448#103×C59C2311yescharacteristic
449#103×C59C2311yescharacteristic
450#103×C59C2311yescharacteristic
451#103×C59C2311yescharacteristic
452#103×C59C2311yescharacteristic
453#103×C59C2311yescharacteristic
454#103×C59C2311yescharacteristic
455#103×C59C2311yescharacteristic
456#102×C59C2311yescharacteristic
457#102×C59C2311yescharacteristic
458#102×C59C2311yescharacteristic
459#102×C59C2311yescharacteristic
460#102×C59C2311yescharacteristic
461#102×C59C2311yescharacteristic
462#102×C59C2311yescharacteristic
463#102×C59C2311yescharacteristic
464#102×C59C2311yescharacteristic
465#102×C59C2311yescharacteristic
466#102×C59C2311yescharacteristic
467#102×C59C2311yescharacteristic
468#102×C59C2311yescharacteristic
469#102×C59C2311yescharacteristic
470#102×C59C2311yescharacteristic
471#102×C59C2311yescharacteristic
472C22⋊C8×C59C2311yescharacteristic
473C22⋊C8×C59C2311yescharacteristic
474C22⋊C8×C59C2311yescharacteristic
475C22⋊C8×C59C2311yescharacteristic
476C22⋊C8×C59C2311yescharacteristic
477C22⋊C8×C59C2311yescharacteristic
478#97×C59C2311yescharacteristic
479#97×C59C2311yescharacteristic
480C4×C8×C59C2311yescharacteristic
481C4×C8×C59C2311yescharacteristic
482C4×C8×C59C2311yescharacteristic
483C4×C8×C59C2311yescharacteristic
484C24×C59—21no—
485C24×C59—21no—
486#41×C59—22no—
487#41×C59—22no—
488#41×C59—41no—
489#41×C59—41no—
490#41×C59—41no—
491#41×C59—41no—
492#41×C59—41no—
493#41×C59—41no—
494#41×C59—41no—
495#41×C59—41no—
496#41×C59—41no—
497#41×C59—41no—
498C2×Q8×C59—21no—
499C2×Q8×C59—21no—
500C2×Q8×C59—41no—
501C2×Q8×C59—41no—
502C2×Q8×C59C2×D411yescharacteristic
503C2×Q8×C59C2411yescharacteristic
504C2×Q8×C59C2411yescharacteristic
505C2×Q8×C59C2411yescharacteristic
506C2×Q8×C59C2411yescharacteristic
507C2×Q8×C59C2411yescharacteristic
508C2×D4×C59—22no—
509C2×D4×C59—21no—
510C2×D4×C59—21no—
511C2×D4×C59—21no—
512C2×D4×C59—21no—
513C2×D4×C59—21no—
514C2×D4×C59—21no—
515C2×D4×C59—21no—
516C2×D4×C59—21no—
517C2×D4×C59—21no—
518C2×D4×C59—21no—
519C2×D4×C59—21no—
520C2×D4×C59—21no—
521C2×D4×C59—21no—
522C2×D4×C59—21no—
523C2×D4×C59—21no—
524C2×D4×C59—21no—
525C2×D4×C59—21no—
526C2×D4×C59—41no—
527C2×D4×C59—41no—
528C2×D4×C59—41no—
529C2×D4×C59C2×D411yescharacteristic
530C2×D4×C59C2×D411yescharacteristic
531C2×D4×C59C2×D411yescharacteristic
532C2×D4×C59C2411yescharacteristic
533C2×D4×C59C2411yescharacteristic
534C2×D4×C59C2411yescharacteristic
535C2×D4×C59C2411yescharacteristic
536C2×D4×C59C2411yescharacteristic
537C22×C4×C59—21no—
538C22×C4×C59—21no—
539C22×C4×C59—21no—
540C22×C4×C59—21no—
541C22×C4×C59—21no—
542C22×C4×C59—21no—
543C22×C4×C59—21no—
544C22×C4×C59—21no—
545C22×C4×C59—21no—
546C22×C4×C59—21no—
547C22×C4×C59—21no—
548C22×C4×C59—21no—
549C22×C4×C59—21no—
550C22×C4×C59—21no—
551C22×C4×C59—21no—
552C22×C4×C59—21no—
553C22×C4×C59—21no—
554C22×C4×C59C2×D411yescharacteristic
555C22×C4×C59C2×D411yescharacteristic
556C22×C4×C59C2411yescharacteristic
557C22×C4×C59C2411yescharacteristic
558C22×C4×C59C2411yescharacteristic
559Q16×C59—41no—
560Q16×C59—41no—
561Q16×C59—41no—
562Q16×C59—41no—
563Q16×C59—41no—
564Q16×C59—41no—
565SD16×C59—22no—
566SD16×C59—22no—
567SD16×C59—22no—
568SD16×C59—41no—
569SD16×C59—41no—
570SD16×C59—41no—
571SD16×C59—41no—
572SD16×C59—41no—
573SD16×C59—41no—
574SD16×C59—41no—
575SD16×C59—41no—
576SD16×C59—41no—
577D8×C59—22no—
578D8×C59—22no—
579D8×C59—22no—
580D8×C59—41no—
581D8×C59—41no—
582D8×C59—41no—
583M16×C59—41no—
584M16×C59—41no—
585C2×C8×C59—41no—
586C2×C8×C59—41no—
587C2×C8×C59—41no—
588C2×C8×C59—41no—
589C2×C8×C59C2411yescharacteristic
590C2×C8×C59C2411yescharacteristic
591C2×C8×C59C2411yescharacteristic
592C2×C8×C59C2411yescharacteristic
593C2×C8×C59C2411yescharacteristic
594C2×C8×C59C2411yescharacteristic
595C2×C8×C59C2411yescharacteristic
596C2×C8×C59C2411yescharacteristic
597C4⋊C4×C59—21no—
598C4⋊C4×C59—21no—
599C4⋊C4×C59—21no—
600C4⋊C4×C59—21no—
601C4⋊C4×C59—21no—
602C4⋊C4×C59—21no—
603C4⋊C4×C59—21no—
604C4⋊C4×C59—21no—
605C4⋊C4×C59—21no—
606C4⋊C4×C59—21no—
607C4⋊C4×C59—21no—
608C4⋊C4×C59—21no—
609C4⋊C4×C59—21no—
610C4⋊C4×C59—21no—
611C4⋊C4×C59—21no—
612C4⋊C4×C59—21no—
613C4⋊C4×C59—21no—
614C4⋊C4×C59—21no—
615C4⋊C4×C59—21no—
616C4⋊C4×C59—21no—
617C4⋊C4×C59—21no—
618C4⋊C4×C59—21no—
619C4⋊C4×C59—21no—
620C4⋊C4×C59—21no—
621C4⋊C4×C59—21no—
622C4⋊C4×C59—21no—
623C4⋊C4×C59—21no—
624C4⋊C4×C59—21no—
625C4⋊C4×C59C2×D411yescharacteristic
626C4⋊C4×C59C2×D411yescharacteristic
627C4⋊C4×C59C2×D411yescharacteristic
628C4⋊C4×C59C2×D411yescharacteristic
629C4⋊C4×C59C2×D411yescharacteristic
630C4⋊C4×C59C2×D411yescharacteristic
631C4⋊C4×C59C2×D411yescharacteristic
632C4⋊C4×C59C2×D411yescharacteristic
633C4⋊C4×C59C2×D411yescharacteristic
634C4⋊C4×C59C2×D411yescharacteristic
635C4⋊C4×C59C2411yescharacteristic
636C4⋊C4×C59C2411yescharacteristic
637C4⋊C4×C59C2411yescharacteristic
638C4⋊C4×C59C2411yescharacteristic
639C4⋊C4×C59C2411yescharacteristic
640C4⋊C4×C59C2411yescharacteristic
641C22⋊C4×C59—21no—
642C22⋊C4×C59—21no—
643C22⋊C4×C59—21no—
644C22⋊C4×C59—21no—
645C22⋊C4×C59—21no—
646C22⋊C4×C59—21no—
647C22⋊C4×C59—21no—
648C22⋊C4×C59—21no—
649C22⋊C4×C59—21no—
650C22⋊C4×C59—21no—
651C22⋊C4×C59—21no—
652C22⋊C4×C59—21no—
653C22⋊C4×C59—21no—
654C22⋊C4×C59—21no—
655C22⋊C4×C59—21no—
656C22⋊C4×C59—21no—
657C22⋊C4×C59—21no—
658C22⋊C4×C59—21no—
659C22⋊C4×C59—21no—
660C22⋊C4×C59—21no—
661C22⋊C4×C59—21no—
662C22⋊C4×C59—21no—
663C22⋊C4×C59—21no—
664C22⋊C4×C59—21no—
665C22⋊C4×C59—21no—
666C22⋊C4×C59—21no—
667C22⋊C4×C59—21no—
668C22⋊C4×C59—21no—
669C22⋊C4×C59—21no—
670C22⋊C4×C59—21no—
671C22⋊C4×C59—21no—
672C22⋊C4×C59—21no—
673C22⋊C4×C59—21no—
674C22⋊C4×C59—21no—
675C22⋊C4×C59—21no—
676C22⋊C4×C59—21no—
677C22⋊C4×C59—21no—
678C22⋊C4×C59C2×D411yescharacteristic
679C22⋊C4×C59C2×D411yescharacteristic
680C22⋊C4×C59C2×D411yescharacteristic
681C22⋊C4×C59C2×D411yescharacteristic
682C22⋊C4×C59C2×D411yescharacteristic
683C22⋊C4×C59C2×D411yescharacteristic
684C22⋊C4×C59C2×D411yescharacteristic
685C22⋊C4×C59C2×D411yescharacteristic
686C22⋊C4×C59C2×D411yescharacteristic
687C22⋊C4×C59C2×D411yescharacteristic
688C42×C59—21no—
689C42×C59—21no—
690C42×C59—21no—
691C42×C59—21no—
692C42×C59—21no—
693C42×C59—21no—
694C42×C59—21no—
695C42×C59—21no—
696C42×C59—21no—
697C42×C59C2×D411yescharacteristic
698C42×C59C2×D411yescharacteristic
699C42×C59C2411yescharacteristic
700C42×C59C2411yescharacteristic
701C42×C59C2411yescharacteristic
702C42×C59C2411yescharacteristic
703C23×C59—21no—
704C23×C59—21no—
705C23×C59—21no—
706C23×C59—21no—
707C23×C59—21no—
708C23×C59—42no—
709C23×C59—81no—
710C23×C59—81no—
711C23×C59—81no—
712C23×C59—81no—
713C23×C59—81no—
714C23×C59C22×D411yescharacteristic
715C23×C59C22×D411yescharacteristic
716C23×C59C22×D411yescharacteristic
717Q8×C59—21no—
718Q8×C59—21no—
719Q8×C59—21no—
720Q8×C59—21no—
721Q8×C59—21no—
722Q8×C59—21no—
723Q8×C59—21no—
724Q8×C59—21no—
725Q8×C59—21no—
726Q8×C59—21no—
727Q8×C59—41no—
728Q8×C59—81no—
729Q8×C59—81no—
730D4×C59—21no—
731D4×C59—21no—
732D4×C59—21no—
733D4×C59—21no—
734D4×C59—21no—
735D4×C59—21no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59—41no—
740D4×C59—41no—
741D4×C59—41no—
742D4×C59—42no—
743D4×C59—42no—
744D4×C59—42no—
745D4×C59—81no—
746D4×C59—81no—
747D4×C59—81no—
748D4×C59—81no—
749D4×C59—81no—
750D4×C59—81no—
751D4×C59—81no—
752D4×C59—81no—
753D4×C59—81no—
754D4×C59—81no—
755D4×C59—81no—
756D4×C59—81no—
757D4×C59—81no—
758D4×C59—81no—
759D4×C59H(5,𝔽2)12yes—
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—41no—
778C2×C4×C59—41no—
779C2×C4×C59—42no—
780C2×C4×C59—42no—
781C2×C4×C59—81no—
782C2×C4×C59—81no—
783C2×C4×C59—81no—
784C2×C4×C59—81no—
785C2×C4×C59—81no—
786C2×C4×C59—81no—
787C2×C4×C59—81no—
788C2×C4×C59—81no—
789C2×C4×C59—81no—
790C2×C4×C59—81no—
791C2×C4×C59—81no—
792C2×C4×C59—81no—
793C2×C4×C59—81no—
794C2×C4×C59—81no—
795C2×C4×C59—81no—
796C2×C4×C59C22×D411yescharacteristic
797C2×C4×C59C22×D411yescharacteristic
798C2×C4×C59C22×D411yescharacteristic
799C2×C4×C59C22×D411yescharacteristic
800C2×C4×C59C22×D411yescharacteristic
801C2×C4×C59C22×D411yescharacteristic
802C2×C4×C59C22×D411yescharacteristic
803C2×C4×C59C22×D411yescharacteristic
804C2×C4×C59C22×D411yescharacteristic
805C2×C4×C59C22×D411yescharacteristic
806C2×C4×C59C22×D411yescharacteristic
807C2×C4×C59C2511yescharacteristic
808C8×C59—21no—
809C8×C59—21no—
810C8×C59—21no—
811C8×C59—21no—
812C8×C59—21no—
813C8×C59—21no—
814C8×C59—21no—
815C8×C59—21no—
816#62059C5911yesmaximal, characteristic, direct product factor, Sylow
817C22×C59—21no—
818C22×C59—21no—
819C22×C59—21no—
820C22×C59—21no—
821C22×C59—21no—
822C22×C59—21no—
823C22×C59—21no—
824C22×C59—21no—
825C22×C59—21no—
826C22×C59—22no—
827C22×C59—41no—
828C22×C59—41no—
829C22×C59—41no—
830C22×C59—41no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59—41no—
837C22×C59—41no—
838C22×C59—41no—
839C22×C59—41no—
840C22×C59—41no—
841C22×C59—162no—
842C22×C59—162no—
843C22×C59C23×D411yescharacteristic
844C4×C59—21no—
845C4×C59—21no—
846C4×C59—21no—
847C4×C59—21no—
848C4×C59—21no—
849C4×C59—21no—
850C4×C59—21no—
851C4×C59—21no—
852C4×C59—21no—
853C4×C59—21no—
854C4×C59—21no—
855C4×C59—41no—
856C4×C59—41no—
857C4×C59—41no—
858C4×C59—41no—
859C4×C59—41no—
860C4×C59—41no—
861C4×C59—41no—
862C4×C59—41no—
863C4×C59—41no—
864C4×C59—41no—
865C4×C59—41no—
866C4×C59C2×H(5,𝔽2)11yescharacteristic
867C4×C59#58511yescharacteristic
868#3562C2×C5911yescharacteristic, complemented
869#3521C2×C5911yescharacteristic, complemented
870#3401C2×C5911yescharacteristic, complemented
871#3393C2×C5911yescharacteristic, complemented
872#3376C2×C5911yescharacteristic, complemented
873#3361C2×C5911yescharacteristic, complemented
874#3327C2×C5911yescharacteristic, complemented
875#3313C2×C5911yescharacteristic, complemented
876#3307C2×C5911yescharacteristic, complemented
877#3304C2×C5911yescharacteristic, complemented
878#3297C2×C5911yescharacteristic, complemented
879#3296C2×C5911yescharacteristic, complemented
880#3283C2×C5911yescharacteristic, complemented
881#3282C2×C5911yescharacteristic, complemented
882#3282C2×C5911yescharacteristic, complemented
883#3273C2×C5911yescharacteristic, complemented
884#3268C2×C5911yescharacteristic, complemented
885#3267C2×C5911yescharacteristic, complemented
886#3260C2×C5911yescharacteristic, complemented
887#3258C2×C5911yescharacteristic, complemented
888#3250C2×C5911yescharacteristic, complemented
889#3224C2×C5911yescharacteristic, complemented
890#3223C2×C5911yescharacteristic, complemented
891#3212C2×C5911yescharacteristic, complemented
892#3122C2×C5911yescharacteristic, complemented
893#3120C2×C5911yescharacteristic, complemented
894#3102C2×C5911yescharacteristic, complemented
895#3045C2×C5911yescharacteristic, complemented
896#3042C2×C5911yescharacteristic, complemented
897#3035C2×C5911yescharacteristic, complemented
898#2994C2×C5911yescharacteristic, complemented
899C2×C59—41no—
900C2×C59—41no—
901C2×C59—41no—
902C2×C59—42no—
903C2×C59—81no—
904C2×C59—81no—
905C2×C59—81no—
906C2×C59—81no—
907C2×C59#348811yescharacteristic
908C2×C59#358411yescharacteristic
909C2×C59#358411yescharacteristic
910C2×AGL(1,ℤ/8)C22×C5911yescharacteristic
911C2×AGL(1,ℤ/8)C22×C5911yescharacteristic
912C2×#135C22×C5911yescharacteristic
913C2×#135C22×C5911yescharacteristic
914C2×#135C22×C5911yescharacteristic, complemented
915C22×SD16C22×C5911yescharacteristic, complemented
916#562—21no—
917#560—21no—
918#559C22×C5911yescharacteristic, complemented
919#556C22×C5911yescharacteristic, complemented
920#556C22×C5911yescharacteristic, complemented
921#556C22×C5911yescharacteristic, complemented
922#554C22×C5911yescharacteristic, complemented
923#553—21no—
924#553—21no—
925#553C22×C5911yescharacteristic
926#552—21no—
927#552C22×C5911yescharacteristic
928#551—21no—
929#551—21no—
930#551—21no—
931#550C22×C5911yescharacteristic
932#548C22×C5911yescharacteristic
933#548C22×C5911yescharacteristic
934#547C22×C5911yescharacteristic
935#547C22×C5911yescharacteristic, complemented
936#546C22×C5911yescharacteristic
937#546C22×C5911yescharacteristic
938#546C22×C5911yescharacteristic, complemented
939#546C22×C5911yescharacteristic, complemented
940#542C22×C5911yescharacteristic
941#541C22×C5911yescharacteristic, complemented
942#541C22×C5911yescharacteristic, complemented
943#540—21no—
944#540C22×C5911yescharacteristic
945#539—21no—
946#539—21no—
947#538—21no—
948#538—21no—
949#538—21no—
950#536C22×C5911yescharacteristic
951#535C22×C5911yescharacteristic, complemented
952#532C22×C5911yescharacteristic, complemented
953#529—21no—
954#529C22×C5911yescharacteristic
955#529C22×C5911yescharacteristic, complemented
956#529C22×C5911yescharacteristic, complemented
957C2×#126—21no—
958#520C22×C5911yescharacteristic
959#518C22×C5911yescharacteristic, complemented
960C4×#41C22×C5911yescharacteristic, complemented
961#497C22×C5911yescharacteristic, complemented
962#496C22×C5911yescharacteristic
963#495C22×C5911yescharacteristic
964#495C22×C5911yescharacteristic
965#495C22×C5911yescharacteristic, complemented
966#494C22×C5911yescharacteristic, complemented
967#491C22×C5911yescharacteristic, complemented
968#489C22×C5911yescharacteristic, complemented
969#488C22×C5911yescharacteristic, complemented
970#488C22×C5911yescharacteristic, complemented
971#488C22×C5911yescharacteristic, complemented
972#486C22×C5911yescharacteristic, complemented
973#485C22×C5911yescharacteristic, complemented
974#484C22×C5911yescharacteristic, complemented
975#483C22×C5911yescharacteristic, complemented
976#482C22×C5911yescharacteristic
977#482C22×C5911yescharacteristic, complemented
978#482C22×C5911yescharacteristic, complemented
979#479C22×C5911yescharacteristic, complemented
980#479C22×C5911yescharacteristic, complemented
981#479C22×C5911yescharacteristic, complemented
982#478C22×C5911yescharacteristic, complemented
983#478C22×C5911yescharacteristic, complemented
984#478C22×C5911yescharacteristic, complemented
985#478C22×C5911yescharacteristic, complemented
986#478C22×C5911yescharacteristic, complemented
987#477C22×C5911yescharacteristic, complemented
988#475C22×C5911yescharacteristic, complemented
989#470C22×C5911yescharacteristic, complemented
990#468C22×C5911yescharacteristic
991#468C22×C5911yescharacteristic
992#468C22×C5911yescharacteristic, complemented
993#467C22×C5911yescharacteristic, complemented
994#467C22×C5911yescharacteristic, complemented
995#466C22×C5911yescharacteristic
996#465C22×C5911yescharacteristic
997#465C22×C5911yescharacteristic
998#465C22×C5911yescharacteristic, complemented
999#465C22×C5911yescharacteristic, complemented
1000#465C22×C5911yescharacteristic, complemented
1001#464C22×C5911yescharacteristic, complemented
1002#464C22×C5911yescharacteristic, complemented
1003#464C22×C5911yescharacteristic, complemented
1004#464C22×C5911yescharacteristic, complemented
1005#464C22×C5911yescharacteristic, complemented
1006#464C22×C5911yescharacteristic, complemented
1007#464C22×C5911yescharacteristic, complemented
1008#464C22×C5911yescharacteristic, complemented
1009#463C22×C5911yescharacteristic
1010#463C22×C5911yescharacteristic
1011#463C22×C5911yescharacteristic
1012#463C22×C5911yescharacteristic
1013#463C22×C5911yescharacteristic
1014#463C22×C5911yescharacteristic
1015#463C22×C5911yescharacteristic
1016#463C22×C5911yescharacteristic, complemented
1017#462C22×C5911yescharacteristic, complemented
1018#462C22×C5911yescharacteristic, complemented
1019#461C22×C5911yescharacteristic, complemented
1020#461C22×C5911yescharacteristic, complemented
1021#461C22×C5911yescharacteristic, complemented
1022#461C22×C5911yescharacteristic, complemented
1023#461C22×C5911yescharacteristic, complemented
1024#461C22×C5911yescharacteristic, complemented
1025#460C22×C5911yescharacteristic, complemented
1026#460C22×C5911yescharacteristic, complemented
1027#460C22×C5911yescharacteristic, complemented
1028#459C22×C5911yescharacteristic
1029#459C22×C5911yescharacteristic
1030#459C22×C5911yescharacteristic
1031#452C22×C5911yescharacteristic
1032#452C22×C5911yescharacteristic
1033#452C22×C5911yescharacteristic
1034#452C22×C5911yescharacteristic
1035#452C22×C5911yescharacteristic, complemented
1036#452C22×C5911yescharacteristic, complemented
1037#452C22×C5911yescharacteristic, complemented
1038#452C22×C5911yescharacteristic, complemented
1039#451C22×C5911yescharacteristic, complemented
1040#451C22×C5911yescharacteristic, complemented
1041#450C22×C5911yescharacteristic, complemented
1042#449C22×C5911yescharacteristic
1043#449C22×C5911yescharacteristic
1044#449C22×C5911yescharacteristic
1045#449C22×C5911yescharacteristic, complemented
1046#447C22×C5911yescharacteristic
1047#447C22×C5911yescharacteristic
1048#447C22×C5911yescharacteristic, complemented
1049#446C22×C5911yescharacteristic, complemented
1050C8×Q8C22×C5911yescharacteristic, complemented
1051#442C22×C5911yescharacteristic
1052#442C22×C5911yescharacteristic, complemented
1053#441C22×C5911yescharacteristic, complemented
1054#440C22×C5911yescharacteristic, complemented
1055C4×Q16C22×C5911yescharacteristic, complemented
1056C4×Q16C22×C5911yescharacteristic, complemented
1057C4×SD16C22×C5911yescharacteristic, complemented
1058C4×SD16C22×C5911yescharacteristic, complemented
1059C4×SD16C22×C5911yescharacteristic, complemented
1060C4×D8C22×C5911yescharacteristic
1061C4×D8C22×C5911yescharacteristic
1062C4×D8C22×C5911yescharacteristic, complemented
1063#436C22×C5911yescharacteristic
1064#435C22×C5911yescharacteristic, complemented
1065#435C22×C5911yescharacteristic, complemented
1066C8×D4C22×C5911yescharacteristic
1067C8×D4C22×C5911yescharacteristic, complemented
1068C8×D4C22×C5911yescharacteristic, complemented
1069#433C22×C5911yescharacteristic, complemented
1070#433C22×C5911yescharacteristic, complemented
1071#431C22×C5911yescharacteristic, complemented
1072#424C22×C5911yescharacteristic, complemented
1073#424C22×C5911yescharacteristic, complemented
1074C2×C4⋊C8C22×C5911yescharacteristic, complemented
1075#419C22×C5911yescharacteristic, complemented
1076#417C22×C5911yescharacteristic, complemented
1077#416C22×C5911yescharacteristic
1078#416C22×C5911yescharacteristic, complemented
1079#416C22×C5911yescharacteristic, complemented
1080C2×#102C22×C5911yescharacteristic, complemented
1081C59#6205911yescharacteristic, direct product factor, Sylow
1082C2×#41C23×C5911yescharacteristic
1083C2×#41C23×C5911yescharacteristic
1084C2×#41C23×C5911yescharacteristic
1085C2×#41C23×C5911yescharacteristic
1086C2×#41C23×C5911yescharacteristic
1087C2×#41C23×C5911yescharacteristic
1088C22×Q8C23×C5911yescharacteristic
1089C22×D4C23×C5911yescharacteristic
1090C22×D4C23×C5911yescharacteristic
1091AGL(1,ℤ/8)—42no—
1092AGL(1,ℤ/8)—42no—
1093#135—42no—
1094#135—42no—
1095#135—42no—
1096C2×Q16C23×C5911yescharacteristic
1097C2×Q16C23×C5911yescharacteristic
1098C2×Q16C23×C5911yescharacteristic
1099C2×Q16C23×C5911yescharacteristic
1100C2×Q16C23×C5911yescharacteristic
1101C2×Q16C23×C5911yescharacteristic
1102C2×SD16—42no—
1103C2×SD16C23×C5911yescharacteristic
1104C2×SD16C23×C5911yescharacteristic
1105C2×SD16C23×C5911yescharacteristic
1106C2×SD16C23×C5911yescharacteristic
1107C2×SD16C23×C5911yescharacteristic
1108C2×SD16C23×C5911yescharacteristic
1109C2×SD16C23×C5911yescharacteristic
1110C2×SD16C23×C5911yescharacteristic
1111C2×SD16C23×C5911yescharacteristic
1112C2×SD16C23×C5911yescharacteristic
1113C2×SD16C23×C5911yescharacteristic
1114C2×SD16C23×C5911yescharacteristic
1115C2×D8C23×C5911yescharacteristic
1116C2×D8C23×C5911yescharacteristic
1117C2×D8C23×C5911yescharacteristic
1118C2×D8C23×C5911yescharacteristic
1119C2×D8C23×C5911yescharacteristic
1120C2×D8C23×C5911yescharacteristic
1121C2×M16C23×C5911yescharacteristic
1122C2×M16C23×C5911yescharacteristic
1123C22×C8C23×C5911yescharacteristic
1124C22×C8C23×C5911yescharacteristic
1125C22×C8C23×C5911yescharacteristic
1126C22×C8C23×C5911yescharacteristic
1127C4⋊Q8C23×C5911yescharacteristic
1128C4⋊Q8C23×C5911yescharacteristic
1129C4⋊Q8C23×C5911yescharacteristic
1130C4⋊Q8C23×C5911yescharacteristic
1131#127—21no—
1132#127C23×C5911yescharacteristic
1133#127C23×C5911yescharacteristic
1134#126—21no—
1135#126—21no—
1136#126—21no—
1137#126—21no—
1138#126—21no—
1139#126—21no—
1140#126—21no—
1141#126—21no—
1142#126—21no—
1143#126—21no—
1144#126—21no—
1145#126—21no—
1146#126—21no—
1147#126—21no—
1148#126—21no—
1149#126D4×C5911yescharacteristic
1150#126D4×C5911yescharacteristic
1151#125—21no—
1152#125—21no—
1153#125—21no—
1154#125—21no—
1155#125—21no—
1156#125D4×C5911yescharacteristic
1157#125C23×C5911yescharacteristic
1158#125C23×C5911yescharacteristic
1159#125C23×C5911yescharacteristic
1160#124—21no—
1161#124—21no—
1162#124—21no—
1163#124—21no—
1164#124—21no—
1165#124D4×C5911yescharacteristic
1166#124C23×C5911yescharacteristic
1167#124C23×C5911yescharacteristic
1168#124C23×C5911yescharacteristic
1169#124C23×C5911yescharacteristic
1170#124C23×C5911yescharacteristic
1171#124C23×C5911yescharacteristic
1172#124C23×C5911yescharacteristic
1173#123—21no—
1174#123—21no—
1175#123—21no—
1176#123—21no—
1177#123—21no—
1178#123—21no—
1179#123—21no—
1180#123—21no—
1181#123—21no—
1182#123—21no—
1183#123—21no—
1184#123—21no—
1185#123—21no—
1186#123—21no—
1187#123—21no—
1188#123—21no—
1189#123—21no—
1190#123—21no—
1191#123—21no—
1192#123D4×C5911yescharacteristic
1193#123D4×C5911yescharacteristic
1194C22⋊Q8—21no—
1195C22⋊Q8—21no—
1196C22⋊Q8—21no—
1197C22⋊Q8—21no—
1198C22⋊Q8—21no—
1199C22⋊Q8—21no—
1200C22⋊Q8—21no—
1201C22⋊Q8—21no—
1202C22⋊Q8—21no—
1203C22⋊Q8—21no—
1204C22⋊Q8D4×C5911yescharacteristic
1205C22⋊Q8C23×C5911yescharacteristic
1206C22⋊Q8C23×C5911yescharacteristic
1207C22⋊Q8C23×C5911yescharacteristic
1208C22⋊Q8C23×C5911yescharacteristic
1209C22⋊Q8C23×C5911yescharacteristic
1210C22⋊Q8C23×C5911yescharacteristic
1211C22⋊Q8C23×C5911yescharacteristic
1212#121—21no—
1213#121—21no—
1214#121—21no—
1215#121—21no—
1216#121—21no—
1217#121—21no—
1218#121—21no—
1219#121—21no—
1220#121—21no—
1221#121—21no—
1222#121—21no—
1223#121—21no—
1224#121—21no—
1225#121—21no—
1226#121—21no—
1227#121—21no—
1228#121—21no—
1229#121D4×C5911yescharacteristic
1230#121C23×C5911yescharacteristic
1231#121C23×C5911yescharacteristic
1232#121C23×C5911yescharacteristic
1233#121C23×C5911yescharacteristic
1234#121C23×C5911yescharacteristic
1235#120—21no—
1236#120—21no—
1237#120—21no—
1238#120—21no—
1239#120—21no—
1240#120—21no—
1241C4×Q8—21no—
1242C4×Q8C23×C5911yescharacteristic
1243C4×Q8C23×C5911yescharacteristic
1244C4×Q8C23×C5911yescharacteristic
1245C4×Q8C23×C5911yescharacteristic
1246C4×Q8C23×C5911yescharacteristic
1247C4×Q8C23×C5911yescharacteristic
1248C4×Q8C23×C5911yescharacteristic
1249C4×Q8C23×C5911yescharacteristic
1250C4×D4—21no—
1251C4×D4—21no—
1252C4×D4—21no—
1253C4×D4—21no—
1254C4×D4—21no—
1255C4×D4—21no—
1256C4×D4—21no—
1257C4×D4—21no—
1258C4×D4—21no—
1259C4×D4—21no—
1260C4×D4—21no—
1261C4×D4—21no—
1262C4×D4—21no—
1263C4×D4—21no—
1264C4×D4—21no—
1265C4×D4C23×C5911yescharacteristic
1266C4×D4C23×C5911yescharacteristic
1267C4×D4C23×C5911yescharacteristic
1268C4×D4C23×C5911yescharacteristic
1269C4×D4C23×C5911yescharacteristic
1270C4×D4C23×C5911yescharacteristic
1271C4×D4C23×C5911yescharacteristic
1272C4×D4C23×C5911yescharacteristic
1273C4×D4C23×C5911yescharacteristic
1274C4×D4C23×C5911yescharacteristic
1275C4×D4C23×C5911yescharacteristic
1276C4×D4C23×C5911yescharacteristic
1277#117—21no—
1278#117—21no—
1279#117—21no—
1280#117—21no—
1281#117—21no—
1282#117—21no—
1283#117—21no—
1284#117C23×C5911yescharacteristic
1285#117C23×C5911yescharacteristic
1286#117C23×C5911yescharacteristic
1287#117C23×C5911yescharacteristic
1288C2×C4⋊C4—21no—
1289C2×C4⋊C4—21no—
1290C2×C4⋊C4—21no—
1291C2×C4⋊C4—21no—
1292C2×C4⋊C4C23×C5911yescharacteristic
1293C2×C22⋊C4—21no—
1294C2×C22⋊C4—21no—
1295C2×C22⋊C4—21no—
1296C2×C22⋊C4—21no—
1297C2×C22⋊C4—21no—
1298C2×C22⋊C4—21no—
1299C2×C42—21no—
1300C2×C42C23×C5911yescharacteristic
1301#107C23×C5911yescharacteristic
1302#107C23×C5911yescharacteristic
1303#107C23×C5911yescharacteristic
1304#107C23×C5911yescharacteristic
1305#106C23×C5911yescharacteristic
1306#106C23×C5911yescharacteristic
1307#106C23×C5911yescharacteristic
1308#106C23×C5911yescharacteristic
1309C4⋊C8C23×C5911yescharacteristic
1310C4⋊C8C23×C5911yescharacteristic
1311C4⋊C8C23×C5911yescharacteristic
1312C4⋊C8C23×C5911yescharacteristic
1313C4⋊C8C23×C5911yescharacteristic
1314C4⋊C8C23×C5911yescharacteristic
1315C4⋊C8C23×C5911yescharacteristic
1316C4⋊C8C23×C5911yescharacteristic
1317C4⋊C8C23×C5911yescharacteristic
1318C4⋊C8C23×C5911yescharacteristic
1319#103C23×C5911yescharacteristic
1320#103C23×C5911yescharacteristic
1321#103C23×C5911yescharacteristic
1322#103C23×C5911yescharacteristic
1323#103C23×C5911yescharacteristic
1324#103C23×C5911yescharacteristic
1325#103C23×C5911yescharacteristic
1326#103C23×C5911yescharacteristic
1327#103C23×C5911yescharacteristic
1328#103C23×C5911yescharacteristic
1329#103C23×C5911yescharacteristic
1330#103C23×C5911yescharacteristic
1331#103C23×C5911yescharacteristic
1332#103C23×C5911yescharacteristic
1333#103C23×C5911yescharacteristic
1334#103C23×C5911yescharacteristic
1335#102C23×C5911yescharacteristic
1336#102C23×C5911yescharacteristic
1337#102C23×C5911yescharacteristic
1338#102C23×C5911yescharacteristic
1339#102C23×C5911yescharacteristic
1340#102C23×C5911yescharacteristic
1341#102C23×C5911yescharacteristic
1342#102C23×C5911yescharacteristic
1343#102C23×C5911yescharacteristic
1344#102C23×C5911yescharacteristic
1345#102C23×C5911yescharacteristic
1346#102C23×C5911yescharacteristic
1347#102C23×C5911yescharacteristic
1348#102C23×C5911yescharacteristic
1349#102C23×C5911yescharacteristic
1350#102C23×C5911yescharacteristic
1351C22⋊C8C23×C5911yescharacteristic
1352C22⋊C8C23×C5911yescharacteristic
1353C22⋊C8C23×C5911yescharacteristic
1354C22⋊C8C23×C5911yescharacteristic
1355C22⋊C8C23×C5911yescharacteristic
1356C22⋊C8C23×C5911yescharacteristic
1357#97C23×C5911yescharacteristic
1358#97C23×C5911yescharacteristic
1359C4×C8C23×C5911yescharacteristic
1360C4×C8C23×C5911yescharacteristic
1361C4×C8C23×C5911yescharacteristic
1362C4×C8C23×C5911yescharacteristic
1363C24—21no—
1364C24—21no—
1365#41—22no—
1366#41—22no—
1367#41—41no—
1368#41—41no—
1369#41—41no—
1370#41—41no—
1371#41—41no—
1372#41—41no—
1373#41—41no—
1374#41—41no—
1375#41—41no—
1376#41—41no—
1377C2×Q8—21no—
1378C2×Q8—21no—
1379C2×Q8—41no—
1380C2×Q8—41no—
1381C2×Q8C2×D4×C5911yescharacteristic
1382C2×Q8C24×C5911yescharacteristic
1383C2×Q8C24×C5911yescharacteristic
1384C2×Q8C24×C5911yescharacteristic
1385C2×Q8C24×C5911yescharacteristic
1386C2×Q8C24×C5911yescharacteristic
1387C2×D4—22no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4C2×D4×C5911yescharacteristic
1409C2×D4C2×D4×C5911yescharacteristic
1410C2×D4C2×D4×C5911yescharacteristic
1411C2×D4C24×C5911yescharacteristic
1412C2×D4C24×C5911yescharacteristic
1413C2×D4C24×C5911yescharacteristic
1414C2×D4C24×C5911yescharacteristic
1415C2×D4C24×C5911yescharacteristic
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4C2×D4×C5911yescharacteristic
1434C22×C4C2×D4×C5911yescharacteristic
1435C22×C4C24×C5911yescharacteristic
1436C22×C4C24×C5911yescharacteristic
1437C22×C4C24×C5911yescharacteristic
1438Q16—41no—
1439Q16—41no—
1440Q16—41no—
1441Q16—41no—
1442Q16—41no—
1443Q16—41no—
1444SD16—22no—
1445SD16—22no—
1446SD16—22no—
1447SD16—41no—
1448SD16—41no—
1449SD16—41no—
1450SD16—41no—
1451SD16—41no—
1452SD16—41no—
1453SD16—41no—
1454SD16—41no—
1455SD16—41no—
1456D8—22no—
1457D8—22no—
1458D8—22no—
1459D8—41no—
1460D8—41no—
1461D8—41no—
1462M16—41no—
1463M16—41no—
1464C2×C8—41no—
1465C2×C8—41no—
1466C2×C8—41no—
1467C2×C8—41no—
1468C2×C8C24×C5911yescharacteristic
1469C2×C8C24×C5911yescharacteristic
1470C2×C8C24×C5911yescharacteristic
1471C2×C8C24×C5911yescharacteristic
1472C2×C8C24×C5911yescharacteristic
1473C2×C8C24×C5911yescharacteristic
1474C2×C8C24×C5911yescharacteristic
1475C2×C8C24×C5911yescharacteristic
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—21no—
1497C4⋊C4—21no—
1498C4⋊C4—21no—
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4C2×D4×C5911yescharacteristic
1505C4⋊C4C2×D4×C5911yescharacteristic
1506C4⋊C4C2×D4×C5911yescharacteristic
1507C4⋊C4C2×D4×C5911yescharacteristic
1508C4⋊C4C2×D4×C5911yescharacteristic
1509C4⋊C4C2×D4×C5911yescharacteristic
1510C4⋊C4C2×D4×C5911yescharacteristic
1511C4⋊C4C2×D4×C5911yescharacteristic
1512C4⋊C4C2×D4×C5911yescharacteristic
1513C4⋊C4C2×D4×C5911yescharacteristic
1514C4⋊C4C24×C5911yescharacteristic
1515C4⋊C4C24×C5911yescharacteristic
1516C4⋊C4C24×C5911yescharacteristic
1517C4⋊C4C24×C5911yescharacteristic
1518C4⋊C4C24×C5911yescharacteristic
1519C4⋊C4C24×C5911yescharacteristic
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4C2×D4×C5911yescharacteristic
1558C22⋊C4C2×D4×C5911yescharacteristic
1559C22⋊C4C2×D4×C5911yescharacteristic
1560C22⋊C4C2×D4×C5911yescharacteristic
1561C22⋊C4C2×D4×C5911yescharacteristic
1562C22⋊C4C2×D4×C5911yescharacteristic
1563C22⋊C4C2×D4×C5911yescharacteristic
1564C22⋊C4C2×D4×C5911yescharacteristic
1565C22⋊C4C2×D4×C5911yescharacteristic
1566C22⋊C4C2×D4×C5911yescharacteristic
1567C42—21no—
1568C42—21no—
1569C42—21no—
1570C42—21no—
1571C42—21no—
1572C42—21no—
1573C42—21no—
1574C42—21no—
1575C42—21no—
1576C42C2×D4×C5911yescharacteristic
1577C42C2×D4×C5911yescharacteristic
1578C42C24×C5911yescharacteristic
1579C42C24×C5911yescharacteristic
1580C42C24×C5911yescharacteristic
1581C42C24×C5911yescharacteristic
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—42no—
1588C23—81no—
1589C23—81no—
1590C23—81no—
1591C23—81no—
1592C23—81no—
1593C23C22×D4×C5911yescharacteristic
1594C23C22×D4×C5911yescharacteristic
1595C23C22×D4×C5911yescharacteristic
1596Q8—21no—
1597Q8—21no—
1598Q8—21no—
1599Q8—21no—
1600Q8—21no—
1601Q8—21no—
1602Q8—21no—
1603Q8—21no—
1604Q8—21no—
1605Q8—21no—
1606Q8—41no—
1607Q8—81no—
1608Q8—81no—
1609D4—21no—
1610D4—21no—
1611D4—21no—
1612D4—21no—
1613D4—21no—
1614D4—21no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—41no—
1619D4—41no—
1620D4—41no—
1621D4—42no—
1622D4—42no—
1623D4—42no—
1624D4—81no—
1625D4—81no—
1626D4—81no—
1627D4—81no—
1628D4—81no—
1629D4—81no—
1630D4—81no—
1631D4—81no—
1632D4—81no—
1633D4—81no—
1634D4—81no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638D4H(5,𝔽2)×C5912yes—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—41no—
1657C2×C4—41no—
1658C2×C4—42no—
1659C2×C4—42no—
1660C2×C4—81no—
1661C2×C4—81no—
1662C2×C4—81no—
1663C2×C4—81no—
1664C2×C4—81no—
1665C2×C4—81no—
1666C2×C4—81no—
1667C2×C4—81no—
1668C2×C4—81no—
1669C2×C4—81no—
1670C2×C4—81no—
1671C2×C4—81no—
1672C2×C4—81no—
1673C2×C4—81no—
1674C2×C4—81no—
1675C2×C4C22×D4×C5911yescharacteristic
1676C2×C4C22×D4×C5911yescharacteristic
1677C2×C4C22×D4×C5911yescharacteristic
1678C2×C4C22×D4×C5911yescharacteristic
1679C2×C4C22×D4×C5911yescharacteristic
1680C2×C4C22×D4×C5911yescharacteristic
1681C2×C4C22×D4×C5911yescharacteristic
1682C2×C4C22×D4×C5911yescharacteristic
1683C2×C4C22×D4×C5911yescharacteristic
1684C2×C4C22×D4×C5911yescharacteristic
1685C2×C4C22×D4×C5911yescharacteristic
1686C2×C4C25×C5911yescharacteristic
1687C8—21no—
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—21no—
1693C8—21no—
1694C8—21no—
1695C22—21no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—21no—
1703C22—21no—
1704C22—22no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—162no—
1720C22—162no—
1721C22C23×D4×C5911yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—21no—
1732C4—21no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4C2×H(5,𝔽2)×C5911yescharacteristic
1745C4C59×#58511yescharacteristic
1746C2—41no—
1747C2—41no—
1748C2—41no—
1749C2—42no—
1750C2—81no—
1751C2—81no—
1752C2—81no—
1753C2—81no—
1754C2C59×#348811yescharacteristic
1755C2C59×#358411yescharacteristic
1756C2C59×#358411yescharacteristic
subgroupG/H
center, socleC22×C59C23×D4
commutator, Frattini, cosocleC2×C4C25×C59
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C59 ◁ C59×#529 ◁ G

Complements

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

NH ≅ G/Ntype
1. C59×#3562C2semidirect
2. C59×#3521C2semidirect
3. C59×#3401C2semidirect
4. C59×#3393C2semidirect
5. C59×#3376C2semidirect
6. C59×#3361C2semidirect
7. C59×#3327C2semidirect
8. C59×#3313C2semidirect
9. C59×#3307C2semidirect
10. C59×#3304C2semidirect
11. C59×#3297C2semidirect
12. C59×#3296C2semidirect
13. C59×#3283C2semidirect
14. C59×#3282C2semidirect
15. C59×#3282C2semidirect
16. C59×#3273C2semidirect
17. C59×#3268C2semidirect
18. C59×#3267C2semidirect
19. C59×#3260C2semidirect
20. C59×#3258C2semidirect
21. C59×#3250C2semidirect
22. C59×#3224C2semidirect
23. C59×#3223C2semidirect
24. C59×#3212C2semidirect
25. C59×#3122C2semidirect
26. C59×#3120C2semidirect
27. C59×#3102C2semidirect
28. C59×#3045C2semidirect
29. C59×#3042C2semidirect
30. C59×#3035C2semidirect
31. C59×#2994C2semidirect
36. C2×#135×C59C22semidirect
37. C22×SD16×C59C22semidirect
40. C59×#559C22semidirect
41. C59×#556C22semidirect
42. C59×#556C22semidirect
43. C59×#556C22semidirect
44. C59×#554C22semidirect
57. C59×#547C22semidirect
60. C59×#546C22semidirect
61. C59×#546C22semidirect
63. C59×#541C22semidirect
64. C59×#541C22semidirect
73. C59×#535C22semidirect
74. C59×#532C22semidirect
77. C59×#529C22semidirect
78. C59×#529C22semidirect
81. C59×#518C22semidirect
82. C4×#41×C59C22semidirect
83. C59×#497C22semidirect
87. C59×#495C22semidirect
88. C59×#494C22semidirect
89. C59×#491C22semidirect
90. C59×#489C22semidirect
91. C59×#488C22semidirect
92. C59×#488C22semidirect
93. C59×#488C22semidirect
94. C59×#486C22semidirect
95. C59×#485C22semidirect
96. C59×#484C22semidirect
97. C59×#483C22semidirect
99. C59×#482C22semidirect
100. C59×#482C22semidirect
101. C59×#479C22semidirect
102. C59×#479C22semidirect
103. C59×#479C22semidirect
104. C59×#478C22semidirect
105. C59×#478C22semidirect
106. C59×#478C22semidirect
107. C59×#478C22semidirect
108. C59×#478C22semidirect
109. C59×#477C22semidirect
110. C59×#475C22semidirect
111. C59×#470C22semidirect
114. C59×#468C22semidirect
115. C59×#467C22semidirect
116. C59×#467C22semidirect
120. C59×#465C22semidirect
121. C59×#465C22semidirect
122. C59×#465C22semidirect
123. C59×#464C22semidirect
124. C59×#464C22semidirect
125. C59×#464C22semidirect
126. C59×#464C22semidirect
127. C59×#464C22semidirect
128. C59×#464C22semidirect
129. C59×#464C22semidirect
130. C59×#464C22semidirect
138. C59×#463C22semidirect
139. C59×#462C22semidirect
140. C59×#462C22semidirect
141. C59×#461C22semidirect
142. C59×#461C22semidirect
143. C59×#461C22semidirect
144. C59×#461C22semidirect
145. C59×#461C22semidirect
146. C59×#461C22semidirect
147. C59×#460C22semidirect
148. C59×#460C22semidirect
149. C59×#460C22semidirect
157. C59×#452C22semidirect
158. C59×#452C22semidirect
159. C59×#452C22semidirect
160. C59×#452C22semidirect
161. C59×#451C22semidirect
162. C59×#451C22semidirect
163. C59×#450C22semidirect
167. C59×#449C22semidirect
170. C59×#447C22semidirect
171. C59×#446C22semidirect
172. C8×Q8×C59C22semidirect
174. C59×#442C22semidirect
175. C59×#441C22semidirect
176. C59×#440C22semidirect
177. C4×Q16×C59C22semidirect
178. C4×Q16×C59C22semidirect
179. C4×SD16×C59C22semidirect
180. C4×SD16×C59C22semidirect
181. C4×SD16×C59C22semidirect
184. C4×D8×C59C22semidirect
186. C59×#435C22semidirect
187. C59×#435C22semidirect
189. C8×D4×C59C22semidirect
190. C8×D4×C59C22semidirect
191. C59×#433C22semidirect
192. C59×#433C22semidirect
193. C59×#431C22semidirect
194. C59×#424C22semidirect
195. C59×#424C22semidirect
196. C2×C4⋊C8×C59C22semidirect
197. C59×#419C22semidirect
198. C59×#417C22semidirect
200. C59×#416C22semidirect
201. C59×#416C22semidirect
202. C2×#102×C59C22semidirect
816. #62059C59direct (N × H)
868. #3562C2×C59semidirect
869. #3521C2×C59semidirect
870. #3401C2×C59semidirect
871. #3393C2×C59semidirect
872. #3376C2×C59semidirect
873. #3361C2×C59semidirect
874. #3327C2×C59semidirect
875. #3313C2×C59semidirect
876. #3307C2×C59semidirect
877. #3304C2×C59semidirect
878. #3297C2×C59semidirect
879. #3296C2×C59semidirect
880. #3283C2×C59semidirect
881. #3282C2×C59semidirect
882. #3282C2×C59semidirect
883. #3273C2×C59semidirect
884. #3268C2×C59semidirect
885. #3267C2×C59semidirect
886. #3260C2×C59semidirect
887. #3258C2×C59semidirect
888. #3250C2×C59semidirect
889. #3224C2×C59semidirect
890. #3223C2×C59semidirect
891. #3212C2×C59semidirect
892. #3122C2×C59semidirect
893. #3120C2×C59semidirect
894. #3102C2×C59semidirect
895. #3045C2×C59semidirect
896. #3042C2×C59semidirect
897. #3035C2×C59semidirect
898. #2994C2×C59semidirect
914. C2×#135C22×C59semidirect
915. C22×SD16C22×C59semidirect
918. #559C22×C59semidirect
919. #556C22×C59semidirect
920. #556C22×C59semidirect
921. #556C22×C59semidirect
922. #554C22×C59semidirect
935. #547C22×C59semidirect
938. #546C22×C59semidirect
939. #546C22×C59semidirect
941. #541C22×C59semidirect
942. #541C22×C59semidirect
951. #535C22×C59semidirect
952. #532C22×C59semidirect
955. #529C22×C59semidirect
956. #529C22×C59semidirect
959. #518C22×C59semidirect
960. C4×#41C22×C59semidirect
961. #497C22×C59semidirect
965. #495C22×C59semidirect
966. #494C22×C59semidirect
967. #491C22×C59semidirect
968. #489C22×C59semidirect
969. #488C22×C59semidirect
970. #488C22×C59semidirect
971. #488C22×C59semidirect
972. #486C22×C59semidirect
973. #485C22×C59semidirect
974. #484C22×C59semidirect
975. #483C22×C59semidirect
977. #482C22×C59semidirect
978. #482C22×C59semidirect
979. #479C22×C59semidirect
980. #479C22×C59semidirect
981. #479C22×C59semidirect
982. #478C22×C59semidirect
983. #478C22×C59semidirect
984. #478C22×C59semidirect
985. #478C22×C59semidirect
986. #478C22×C59semidirect
987. #477C22×C59semidirect
988. #475C22×C59semidirect
989. #470C22×C59semidirect
992. #468C22×C59semidirect
993. #467C22×C59semidirect
994. #467C22×C59semidirect
998. #465C22×C59semidirect
999. #465C22×C59semidirect
1000. #465C22×C59semidirect
1001. #464C22×C59semidirect
1002. #464C22×C59semidirect
1003. #464C22×C59semidirect
1004. #464C22×C59semidirect
1005. #464C22×C59semidirect
1006. #464C22×C59semidirect
1007. #464C22×C59semidirect
1008. #464C22×C59semidirect
1016. #463C22×C59semidirect
1017. #462C22×C59semidirect
1018. #462C22×C59semidirect
1019. #461C22×C59semidirect
1020. #461C22×C59semidirect
1021. #461C22×C59semidirect
1022. #461C22×C59semidirect
1023. #461C22×C59semidirect
1024. #461C22×C59semidirect
1025. #460C22×C59semidirect
1026. #460C22×C59semidirect
1027. #460C22×C59semidirect
1035. #452C22×C59semidirect
1036. #452C22×C59semidirect
1037. #452C22×C59semidirect
1038. #452C22×C59semidirect
1039. #451C22×C59semidirect
1040. #451C22×C59semidirect
1041. #450C22×C59semidirect
1045. #449C22×C59semidirect
1048. #447C22×C59semidirect
1049. #446C22×C59semidirect
1050. C8×Q8C22×C59semidirect
1052. #442C22×C59semidirect
1053. #441C22×C59semidirect
1054. #440C22×C59semidirect
1055. C4×Q16C22×C59semidirect
1056. C4×Q16C22×C59semidirect
1057. C4×SD16C22×C59semidirect
1058. C4×SD16C22×C59semidirect
1059. C4×SD16C22×C59semidirect
1062. C4×D8C22×C59semidirect
1064. #435C22×C59semidirect
1065. #435C22×C59semidirect
1067. C8×D4C22×C59semidirect
1068. C8×D4C22×C59semidirect
1069. #433C22×C59semidirect
1070. #433C22×C59semidirect
1071. #431C22×C59semidirect
1072. #424C22×C59semidirect
1073. #424C22×C59semidirect
1074. C2×C4⋊C8C22×C59semidirect
1075. #419C22×C59semidirect
1076. #417C22×C59semidirect
1078. #416C22×C59semidirect
1079. #416C22×C59semidirect
1080. C2×#102C22×C59semidirect
1081. C59#62059direct (N × H)

Maximal subgroups

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

subgroupindex
C59×#35622
C59×#35212
C59×#34012
C59×#33932
C59×#33762
C59×#33612
C59×#33272
C59×#33132
C59×#33072
C59×#33042
C59×#32972
C59×#32962
C59×#32832
C59×#32822
C59×#32732
C59×#32682
C59×#32672
C59×#32602
C59×#32582
C59×#32502
C59×#32242
C59×#32232
C59×#32122
C59×#31222
C59×#31202
C59×#31022
C59×#30452
C59×#30422
C59×#30352
C59×#29942
#6205959