Finite Group Databasebeta

← C59×#62050 #28474159

Subgroups — C59×#62050 #28474159

Order 15104.

1790 conjugacy classes of subgroups.

The subgroup lattice has 1740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C59×#3561C211yesmaximal, characteristic, complemented
2C59×#3524C211yesmaximal, characteristic, complemented
3C59×#3401C211yesmaximal, characteristic, complemented
4C59×#3394C211yesmaximal, characteristic, complemented
5C59×#3377C211yesmaximal, characteristic, complemented
6C59×#3364C211yesmaximal, characteristic, complemented
7C59×#3329C211yesmaximal, characteristic, complemented
8C59×#3326C211yesmaximal, characteristic, complemented
9C59×#3323C211yesmaximal, characteristic, complemented
10C59×#3319C211yesmaximal, characteristic, complemented
11C59×#3312C211yesmaximal, characteristic, complemented
12C59×#3301C211yesmaximal, characteristic, complemented
13C59×#3285C211yesmaximal, characteristic, complemented
14C59×#3278C211yesmaximal, characteristic, complemented
15C59×#3277C211yesmaximal, characteristic, complemented
16C59×#3275C211yesmaximal, characteristic, complemented
17C59×#3270C211yesmaximal, characteristic, complemented
18C59×#3268C211yesmaximal, characteristic, complemented
19C59×#3262C211yesmaximal, characteristic, complemented
20C59×#3257C211yesmaximal, characteristic, complemented
21C59×#3252C211yesmaximal, characteristic, complemented
22C59×#3225C211yesmaximal, characteristic, complemented
23C59×#3221C211yesmaximal, characteristic, complemented
24C59×#3211C211yesmaximal, characteristic, complemented
25C59×#3125C211yesmaximal, characteristic, complemented
26C59×#3121C211yesmaximal, characteristic, complemented
27C59×#3107C211yesmaximal, characteristic, complemented
28C59×#3046C211yesmaximal, characteristic, complemented
29C59×#3044C211yesmaximal, characteristic, complemented
30C59×#3040C211yesmaximal, characteristic, complemented
31C59×#2993C211yesmaximal, characteristic, complemented
32C2×#137×C59C2211yescharacteristic
33C2×#137×C59C2211yescharacteristic
34C2×#137×C59C2211yescharacteristic, complemented
35C2×AGL(1,ℤ/8)×C59C2211yescharacteristic
36C2×#135×C59C2211yescharacteristic
37C22×Q16×C59C2211yescharacteristic, complemented
38C59×#563—21no—
39C59×#562—21no—
40C59×#559—21no—
41C59×#559C2211yescharacteristic, complemented
42C59×#557C2211yescharacteristic, complemented
43C59×#556C2211yescharacteristic
44C59×#556C2211yescharacteristic
45C59×#555—21no—
46C59×#555C2211yescharacteristic
47C59×#553—21no—
48C59×#553C2211yescharacteristic, complemented
49C59×#552—21no—
50C59×#552C2211yescharacteristic
51C59×#551—21no—
52C59×#551—21no—
53C59×#550C2211yescharacteristic
54D4×Q8×C59C2211yescharacteristic
55D4×Q8×C59C2211yescharacteristic
56C59×#548C2211yescharacteristic
57C59×#548C2211yescharacteristic
58C59×#548C2211yescharacteristic
59C59×#548C2211yescharacteristic, complemented
60C59×#546C2211yescharacteristic
61C59×#546C2211yescharacteristic
62C59×#543—21no—
63C59×#542—21no—
64C59×#542—21no—
65C59×#542—21no—
66C59×#542C2211yescharacteristic
67C59×#542C2211yescharacteristic
68C59×#542C2211yescharacteristic, complemented
69C59×#540—21no—
70C59×#540C2211yescharacteristic, complemented
71C59×#538—21no—
72C59×#536C2211yescharacteristic
73C59×#536C2211yescharacteristic
74C59×#533C2211yescharacteristic
75C59×#529—21no—
76C59×#529—21no—
77C59×#529C2211yescharacteristic
78C59×#529C2211yescharacteristic
79C2×#124×C59C2211yescharacteristic
80C59×#520C2211yescharacteristic, complemented
81C59×#519C2211yescharacteristic, complemented
82C4×#41×C59C2211yescharacteristic
83C59×#497C2211yescharacteristic, complemented
84C59×#496C2211yescharacteristic
85C59×#495C2211yescharacteristic
86C59×#495C2211yescharacteristic
87C59×#495C2211yescharacteristic
88C59×#492C2211yescharacteristic, complemented
89C59×#491C2211yescharacteristic, complemented
90C59×#489C2211yescharacteristic
91C59×#488C2211yescharacteristic
92C59×#488C2211yescharacteristic
93C59×#488C2211yescharacteristic
94C59×#487C2211yescharacteristic, complemented
95C59×#485C2211yescharacteristic
96C59×#485C2211yescharacteristic
97C59×#485C2211yescharacteristic, complemented
98C59×#483C2211yescharacteristic, complemented
99C59×#482C2211yescharacteristic
100C59×#481C2211yescharacteristic
101C59×#479C2211yescharacteristic, complemented
102C59×#479C2211yescharacteristic, complemented
103C59×#479C2211yescharacteristic, complemented
104C59×#478C2211yescharacteristic
105C59×#477C2211yescharacteristic, complemented
106C59×#477C2211yescharacteristic, complemented
107C59×#476C2211yescharacteristic, complemented
108C59×#475C2211yescharacteristic, complemented
109C59×#474C2211yescharacteristic
110C59×#474C2211yescharacteristic, complemented
111C59×#470C2211yescharacteristic
112C59×#470C2211yescharacteristic
113C59×#469C2211yescharacteristic
114C59×#468C2211yescharacteristic
115C59×#468C2211yescharacteristic
116C59×#468C2211yescharacteristic
117C59×#468C2211yescharacteristic, complemented
118C59×#468C2211yescharacteristic, complemented
119C59×#467C2211yescharacteristic, complemented
120C59×#466C2211yescharacteristic
121C59×#466C2211yescharacteristic
122C59×#465C2211yescharacteristic, complemented
123C59×#464C2211yescharacteristic
124C59×#464C2211yescharacteristic
125C59×#464C2211yescharacteristic
126C59×#464C2211yescharacteristic
127C59×#464C2211yescharacteristic
128C59×#464C2211yescharacteristic
129C59×#464C2211yescharacteristic
130C59×#464C2211yescharacteristic
131C59×#464C2211yescharacteristic
132C59×#464C2211yescharacteristic, complemented
133C59×#464C2211yescharacteristic, complemented
134C59×#464C2211yescharacteristic, complemented
135C59×#463C2211yescharacteristic
136C59×#463C2211yescharacteristic
137C59×#463C2211yescharacteristic
138C59×#463C2211yescharacteristic
139C59×#463C2211yescharacteristic
140C59×#463C2211yescharacteristic
141C59×#463C2211yescharacteristic
142C59×#463C2211yescharacteristic
143C59×#462C2211yescharacteristic, complemented
144C59×#462C2211yescharacteristic, complemented
145C59×#462C2211yescharacteristic, complemented
146C59×#462C2211yescharacteristic, complemented
147C59×#462C2211yescharacteristic, complemented
148C59×#461C2211yescharacteristic, complemented
149C59×#461C2211yescharacteristic, complemented
150C59×#461C2211yescharacteristic, complemented
151C59×#460C2211yescharacteristic, complemented
152C59×#459C2211yescharacteristic
153C59×#452C2211yescharacteristic
154C59×#452C2211yescharacteristic
155C59×#452C2211yescharacteristic
156C59×#452C2211yescharacteristic, complemented
157C59×#451C2211yescharacteristic
158C59×#451C2211yescharacteristic, complemented
159C59×#451C2211yescharacteristic, complemented
160C59×#450C2211yescharacteristic
161C59×#449C2211yescharacteristic
162C59×#449C2211yescharacteristic
163C59×#449C2211yescharacteristic
164C59×#449C2211yescharacteristic
165C59×#448C2211yescharacteristic
166C59×#448C2211yescharacteristic
167C59×#448C2211yescharacteristic, complemented
168C59×#448C2211yescharacteristic, complemented
169C59×#448C2211yescharacteristic, complemented
170C59×#447C2211yescharacteristic
171C59×#446C2211yescharacteristic, complemented
172C8×Q8×C59C2211yescharacteristic, complemented
173C59×#442C2211yescharacteristic
174C59×#441C2211yescharacteristic, complemented
175C59×#441C2211yescharacteristic, complemented
176C59×#440C2211yescharacteristic
177C4×Q16×C59C2211yescharacteristic, complemented
178C4×Q16×C59C2211yescharacteristic, complemented
179C4×Q16×C59C2211yescharacteristic, complemented
180C4×SD16×C59C2211yescharacteristic
181C4×SD16×C59C2211yescharacteristic
182C4×SD16×C59C2211yescharacteristic, complemented
183C4×SD16×C59C2211yescharacteristic, complemented
184C4×SD16×C59C2211yescharacteristic, complemented
185C59×#436C2211yescharacteristic
186C59×#436C2211yescharacteristic
187C59×#436C2211yescharacteristic, complemented
188C59×#435C2211yescharacteristic
189C59×#435C2211yescharacteristic
190C8×D4×C59C2211yescharacteristic, complemented
191C59×#433C2211yescharacteristic, complemented
192C59×#433C2211yescharacteristic, complemented
193C59×#431C2211yescharacteristic
194C59×#424C2211yescharacteristic, complemented
195C59×#424C2211yescharacteristic, complemented
196C59×#423C2211yescharacteristic
197C59×#419C2211yescharacteristic
198C59×#419C2211yescharacteristic, complemented
199C59×#418C2211yescharacteristic
200C59×#417C2211yescharacteristic
201C59×#416C2211yescharacteristic
202C2×#103×C59C2211yescharacteristic, complemented
203C2×#41×C59C2311yescharacteristic
204C2×#41×C59C2311yescharacteristic
205C2×#41×C59C2311yescharacteristic
206C2×#41×C59C2311yescharacteristic
207C22×Q8×C59C2311yescharacteristic
208C22×Q8×C59C2311yescharacteristic
209C22×Q8×C59C2311yescharacteristic
210C22×Q8×C59C2311yescharacteristic
211C22×D4×C59C2311yescharacteristic
212#137×C59—42no—
213#137×C59—42no—
214#137×C59—42no—
215AGL(1,ℤ/8)×C59—42no—
216#135×C59—42no—
217C2×Q16×C59—42no—
218C2×Q16×C59C2311yescharacteristic
219C2×Q16×C59C2311yescharacteristic
220C2×Q16×C59C2311yescharacteristic
221C2×Q16×C59C2311yescharacteristic
222C2×Q16×C59C2311yescharacteristic
223C2×Q16×C59C2311yescharacteristic
224C2×Q16×C59C2311yescharacteristic
225C2×Q16×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×SD16×C59C2311yescharacteristic
237C2×SD16×C59C2311yescharacteristic
238C2×D8×C59C2311yescharacteristic
239C2×D8×C59C2311yescharacteristic
240C2×D8×C59C2311yescharacteristic
241C2×D8×C59C2311yescharacteristic
242C2×M16×C59C2311yescharacteristic
243C2×M16×C59C2311yescharacteristic
244C2×M16×C59C2311yescharacteristic
245C2×M16×C59C2311yescharacteristic
246C22×C8×C59C2311yescharacteristic
247C22×C8×C59C2311yescharacteristic
248C4⋊Q8×C59—21no—
249C4⋊Q8×C59—21no—
250C4⋊Q8×C59—21no—
251C4⋊Q8×C59C2311yescharacteristic
252C4⋊Q8×C59C2311yescharacteristic
253C4⋊Q8×C59C2311yescharacteristic
254C4⋊Q8×C59C2311yescharacteristic
255C4⋊Q8×C59C2311yescharacteristic
256#127×C59—21no—
257#127×C59C2311yescharacteristic
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×C59D411yescharacteristic
269#126×C59D411yescharacteristic
270#125×C59—21no—
271#125×C59—21no—
272#125×C59—21no—
273#125×C59—21no—
274#125×C59D411yescharacteristic
275#125×C59C2311yescharacteristic
276#125×C59C2311yescharacteristic
277#124×C59—21no—
278#124×C59—21no—
279#124×C59—21no—
280#124×C59—21no—
281#124×C59—21no—
282#124×C59—21no—
283#124×C59—21no—
284#124×C59—21no—
285#124×C59—21no—
286#124×C59—21no—
287#124×C59—21no—
288#124×C59—21no—
289#124×C59D411yescharacteristic
290#124×C59C2311yescharacteristic
291#124×C59C2311yescharacteristic
292#124×C59C2311yescharacteristic
293#124×C59C2311yescharacteristic
294#124×C59C2311yescharacteristic
295#124×C59C2311yescharacteristic
296#124×C59C2311yescharacteristic
297#124×C59C2311yescharacteristic
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×C59—21no—
314#123×C59D411yescharacteristic
315#123×C59D411yescharacteristic
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×C59—21no—
326C22⋊Q8×C59—21no—
327C22⋊Q8×C59—21no—
328C22⋊Q8×C59—21no—
329C22⋊Q8×C59—21no—
330C22⋊Q8×C59—21no—
331C22⋊Q8×C59—21no—
332C22⋊Q8×C59—21no—
333C22⋊Q8×C59—21no—
334C22⋊Q8×C59D411yescharacteristic
335C22⋊Q8×C59C2311yescharacteristic
336C22⋊Q8×C59C2311yescharacteristic
337C22⋊Q8×C59C2311yescharacteristic
338C22⋊Q8×C59C2311yescharacteristic
339C22⋊Q8×C59C2311yescharacteristic
340C22⋊Q8×C59C2311yescharacteristic
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×C59—21no—
351#121×C59—21no—
352#121×C59—21no—
353#121×C59D411yescharacteristic
354#121×C59C2311yescharacteristic
355#121×C59C2311yescharacteristic
356#121×C59C2311yescharacteristic
357#121×C59C2311yescharacteristic
358#121×C59C2311yescharacteristic
359#121×C59C2311yescharacteristic
360#120×C59—21no—
361#120×C59—21no—
362C4×Q8×C59—21no—
363C4×Q8×C59—21no—
364C4×Q8×C59—21no—
365C4×Q8×C59—21no—
366C4×Q8×C59C2311yescharacteristic
367C4×Q8×C59C2311yescharacteristic
368C4×Q8×C59C2311yescharacteristic
369C4×Q8×C59C2311yescharacteristic
370C4×Q8×C59C2311yescharacteristic
371C4×Q8×C59C2311yescharacteristic
372C4×Q8×C59C2311yescharacteristic
373C4×Q8×C59C2311yescharacteristic
374C4×Q8×C59C2311yescharacteristic
375C4×Q8×C59C2311yescharacteristic
376C4×Q8×C59C2311yescharacteristic
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×C59—21no—
387C4×D4×C59—21no—
388C4×D4×C59—21no—
389C4×D4×C59—21no—
390C4×D4×C59—21no—
391C4×D4×C59C2311yescharacteristic
392C4×D4×C59C2311yescharacteristic
393C4×D4×C59C2311yescharacteristic
394C4×D4×C59C2311yescharacteristic
395C4×D4×C59C2311yescharacteristic
396C4×D4×C59C2311yescharacteristic
397C4×D4×C59C2311yescharacteristic
398C4×D4×C59C2311yescharacteristic
399C4×D4×C59C2311yescharacteristic
400#117×C59—21no—
401#117×C59—21no—
402#117×C59—21no—
403#117×C59—21no—
404#117×C59—21no—
405#117×C59—21no—
406#117×C59—21no—
407#117×C59—21no—
408#117×C59—21no—
409#117×C59—21no—
410#117×C59C2311yescharacteristic
411#117×C59C2311yescharacteristic
412#117×C59C2311yescharacteristic
413#117×C59C2311yescharacteristic
414C2×C4⋊C4×C59—21no—
415C2×C4⋊C4×C59C2311yescharacteristic
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#103×C59C2311yescharacteristic
457#103×C59C2311yescharacteristic
458#103×C59C2311yescharacteristic
459#103×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—
485#41×C59—22no—
486#41×C59—22no—
487#41×C59—41no—
488#41×C59—41no—
489#41×C59—41no—
490#41×C59—41no—
491#41×C59—41no—
492#41×C59—41no—
493C2×Q8×C59—21no—
494C2×Q8×C59—21no—
495C2×Q8×C59—21no—
496C2×Q8×C59—21no—
497C2×Q8×C59—21no—
498C2×Q8×C59—21no—
499C2×Q8×C59—22no—
500C2×Q8×C59—41no—
501C2×Q8×C59—41no—
502C2×Q8×C59—41no—
503C2×Q8×C59—41no—
504C2×Q8×C59—41no—
505C2×Q8×C59—41no—
506C2×Q8×C59—41no—
507C2×Q8×C59C2×D411yescharacteristic
508C2×Q8×C59C2411yescharacteristic
509C2×Q8×C59C2411yescharacteristic
510C2×Q8×C59C2411yescharacteristic
511C2×Q8×C59C2411yescharacteristic
512C2×Q8×C59C2411yescharacteristic
513C2×Q8×C59C2411yescharacteristic
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—21no—
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
536C22×C4×C59—21no—
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×C59C2×D411yescharacteristic
552C22×C4×C59C2×D411yescharacteristic
553C22×C4×C59C2411yescharacteristic
554C22×C4×C59C2411yescharacteristic
555C22×C4×C59C2411yescharacteristic
556Q16×C59—22no—
557Q16×C59—22no—
558Q16×C59—22no—
559Q16×C59—22no—
560Q16×C59—41no—
561Q16×C59—41no—
562Q16×C59—41no—
563Q16×C59—41no—
564SD16×C59—22no—
565SD16×C59—22no—
566SD16×C59—41no—
567SD16×C59—41no—
568SD16×C59—41no—
569SD16×C59—41no—
570SD16×C59—41no—
571SD16×C59—41no—
572SD16×C59—41no—
573SD16×C59—41no—
574SD16×C59—41no—
575SD16×C59—41no—
576D8×C59—41no—
577D8×C59—41no—
578D8×C59—41no—
579D8×C59—41no—
580M16×C59—41no—
581M16×C59—41no—
582M16×C59—41no—
583M16×C59—41no—
584C2×C8×C59—41no—
585C2×C8×C59—41no—
586C2×C8×C59C2411yescharacteristic
587C2×C8×C59C2411yescharacteristic
588C2×C8×C59C2411yescharacteristic
589C2×C8×C59C2411yescharacteristic
590C2×C8×C59C2411yescharacteristic
591C2×C8×C59C2411yescharacteristic
592C2×C8×C59C2411yescharacteristic
593C2×C8×C59C2411yescharacteristic
594C4⋊C4×C59—21no—
595C4⋊C4×C59—21no—
596C4⋊C4×C59—21no—
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×C59C2×D411yescharacteristic
624C4⋊C4×C59C2×D411yescharacteristic
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×C59C2411yescharacteristic
634C4⋊C4×C59C2411yescharacteristic
635C4⋊C4×C59C2411yescharacteristic
636C4⋊C4×C59C2411yescharacteristic
637C4⋊C4×C59C2411yescharacteristic
638C4⋊C4×C59C2411yescharacteristic
639C22⋊C4×C59—21no—
640C22⋊C4×C59—21no—
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×C59C2×D411yescharacteristic
676C22⋊C4×C59C2×D411yescharacteristic
677C22⋊C4×C59C2×D411yescharacteristic
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
685C42×C59—21no—
686C42×C59—21no—
687C42×C59—21no—
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—42no—
708C23×C59—81no—
709C23×C59—81no—
710C23×C59C22×D411yescharacteristic
711C23×C59C22×D411yescharacteristic
712C23×C59C22×D411yescharacteristic
713Q8×C59—21no—
714Q8×C59—21no—
715Q8×C59—21no—
716Q8×C59—21no—
717Q8×C59—21no—
718Q8×C59—21no—
719Q8×C59—21no—
720Q8×C59—21no—
721Q8×C59—21no—
722Q8×C59—21no—
723Q8×C59—21no—
724Q8×C59—41no—
725Q8×C59—42no—
726Q8×C59—81no—
727Q8×C59—81no—
728Q8×C59—81no—
729Q8×C59—81no—
730Q8×C59—81no—
731Q8×C59H(5,𝔽2)12yes—
732D4×C59—21no—
733D4×C59—21no—
734D4×C59—21no—
735D4×C59—21no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59—21no—
740D4×C59—41no—
741D4×C59—41no—
742D4×C59—41no—
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—
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—41no—
775C2×C4×C59—41no—
776C2×C4×C59—42no—
777C2×C4×C59—42no—
778C2×C4×C59—42no—
779C2×C4×C59—81no—
780C2×C4×C59—81no—
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×C59C22×D411yescharacteristic
792C2×C4×C59C22×D411yescharacteristic
793C2×C4×C59C22×D411yescharacteristic
794C2×C4×C59C22×D411yescharacteristic
795C2×C4×C59C22×D411yescharacteristic
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×C59C2511yescharacteristic
803C8×C59—21no—
804C8×C59—21no—
805C8×C59—21no—
806C8×C59—21no—
807C8×C59—21no—
808C8×C59—21no—
809C8×C59—21no—
810C8×C59—21no—
811#62050C5911yesmaximal, characteristic, direct product factor, Sylow
812C22×C59—21no—
813C22×C59—21no—
814C22×C59—21no—
815C22×C59—21no—
816C22×C59—21no—
817C22×C59—21no—
818C22×C59—21no—
819C22×C59—21no—
820C22×C59—21no—
821C22×C59—41no—
822C22×C59—41no—
823C22×C59—41no—
824C22×C59—41no—
825C22×C59—41no—
826C22×C59—41no—
827C22×C59—41no—
828C22×C59—41no—
829C22×C59—41no—
830C22×C59—41no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59—162no—
834C22×C59C23×D411yescharacteristic
835C4×C59—21no—
836C4×C59—21no—
837C4×C59—21no—
838C4×C59—21no—
839C4×C59—21no—
840C4×C59—21no—
841C4×C59—21no—
842C4×C59—21no—
843C4×C59—21no—
844C4×C59—21no—
845C4×C59—21no—
846C4×C59—22no—
847C4×C59—41no—
848C4×C59—41no—
849C4×C59—41no—
850C4×C59—41no—
851C4×C59—41no—
852C4×C59—41no—
853C4×C59—41no—
854C4×C59—41no—
855C4×C59—41no—
856C4×C59—41no—
857C4×C59—41no—
858C4×C59C2×H(5,𝔽2)11yescharacteristic
859C4×C59#58511yescharacteristic
860#3561C2×C5911yescharacteristic, complemented
861#3524C2×C5911yescharacteristic, complemented
862#3401C2×C5911yescharacteristic, complemented
863#3394C2×C5911yescharacteristic, complemented
864#3377C2×C5911yescharacteristic, complemented
865#3364C2×C5911yescharacteristic, complemented
866#3329C2×C5911yescharacteristic, complemented
867#3326C2×C5911yescharacteristic, complemented
868#3323C2×C5911yescharacteristic, complemented
869#3319C2×C5911yescharacteristic, complemented
870#3312C2×C5911yescharacteristic, complemented
871#3301C2×C5911yescharacteristic, complemented
872#3285C2×C5911yescharacteristic, complemented
873#3278C2×C5911yescharacteristic, complemented
874#3277C2×C5911yescharacteristic, complemented
875#3275C2×C5911yescharacteristic, complemented
876#3270C2×C5911yescharacteristic, complemented
877#3268C2×C5911yescharacteristic, complemented
878#3262C2×C5911yescharacteristic, complemented
879#3257C2×C5911yescharacteristic, complemented
880#3252C2×C5911yescharacteristic, complemented
881#3225C2×C5911yescharacteristic, complemented
882#3221C2×C5911yescharacteristic, complemented
883#3211C2×C5911yescharacteristic, complemented
884#3125C2×C5911yescharacteristic, complemented
885#3121C2×C5911yescharacteristic, complemented
886#3107C2×C5911yescharacteristic, complemented
887#3046C2×C5911yescharacteristic, complemented
888#3044C2×C5911yescharacteristic, complemented
889#3040C2×C5911yescharacteristic, complemented
890#2993C2×C5911yescharacteristic, complemented
891C2×C59—41no—
892C2×C59—41no—
893C2×C59—41no—
894C2×C59—81no—
895C2×C59—81no—
896C2×C59—81no—
897C2×C59—81no—
898C2×C59#348811yescharacteristic
899C2×C59#358411yescharacteristic
900C2×C59#358611yescharacteristic
901C2×#137C22×C5911yescharacteristic
902C2×#137C22×C5911yescharacteristic
903C2×#137C22×C5911yescharacteristic, complemented
904C2×AGL(1,ℤ/8)C22×C5911yescharacteristic
905C2×#135C22×C5911yescharacteristic
906C22×Q16C22×C5911yescharacteristic, complemented
907#563—21no—
908#562—21no—
909#559—21no—
910#559C22×C5911yescharacteristic, complemented
911#557C22×C5911yescharacteristic, complemented
912#556C22×C5911yescharacteristic
913#556C22×C5911yescharacteristic
914#555—21no—
915#555C22×C5911yescharacteristic
916#553—21no—
917#553C22×C5911yescharacteristic, complemented
918#552—21no—
919#552C22×C5911yescharacteristic
920#551—21no—
921#551—21no—
922#550C22×C5911yescharacteristic
923D4×Q8C22×C5911yescharacteristic
924D4×Q8C22×C5911yescharacteristic
925#548C22×C5911yescharacteristic
926#548C22×C5911yescharacteristic
927#548C22×C5911yescharacteristic
928#548C22×C5911yescharacteristic, complemented
929#546C22×C5911yescharacteristic
930#546C22×C5911yescharacteristic
931#543—21no—
932#542—21no—
933#542—21no—
934#542—21no—
935#542C22×C5911yescharacteristic
936#542C22×C5911yescharacteristic
937#542C22×C5911yescharacteristic, complemented
938#540—21no—
939#540C22×C5911yescharacteristic, complemented
940#538—21no—
941#536C22×C5911yescharacteristic
942#536C22×C5911yescharacteristic
943#533C22×C5911yescharacteristic
944#529—21no—
945#529—21no—
946#529C22×C5911yescharacteristic
947#529C22×C5911yescharacteristic
948C2×#124C22×C5911yescharacteristic
949#520C22×C5911yescharacteristic, complemented
950#519C22×C5911yescharacteristic, complemented
951C4×#41C22×C5911yescharacteristic
952#497C22×C5911yescharacteristic, complemented
953#496C22×C5911yescharacteristic
954#495C22×C5911yescharacteristic
955#495C22×C5911yescharacteristic
956#495C22×C5911yescharacteristic
957#492C22×C5911yescharacteristic, complemented
958#491C22×C5911yescharacteristic, complemented
959#489C22×C5911yescharacteristic
960#488C22×C5911yescharacteristic
961#488C22×C5911yescharacteristic
962#488C22×C5911yescharacteristic
963#487C22×C5911yescharacteristic, complemented
964#485C22×C5911yescharacteristic
965#485C22×C5911yescharacteristic
966#485C22×C5911yescharacteristic, complemented
967#483C22×C5911yescharacteristic, complemented
968#482C22×C5911yescharacteristic
969#481C22×C5911yescharacteristic
970#479C22×C5911yescharacteristic, complemented
971#479C22×C5911yescharacteristic, complemented
972#479C22×C5911yescharacteristic, complemented
973#478C22×C5911yescharacteristic
974#477C22×C5911yescharacteristic, complemented
975#477C22×C5911yescharacteristic, complemented
976#476C22×C5911yescharacteristic, complemented
977#475C22×C5911yescharacteristic, complemented
978#474C22×C5911yescharacteristic
979#474C22×C5911yescharacteristic, complemented
980#470C22×C5911yescharacteristic
981#470C22×C5911yescharacteristic
982#469C22×C5911yescharacteristic
983#468C22×C5911yescharacteristic
984#468C22×C5911yescharacteristic
985#468C22×C5911yescharacteristic
986#468C22×C5911yescharacteristic, complemented
987#468C22×C5911yescharacteristic, complemented
988#467C22×C5911yescharacteristic, complemented
989#466C22×C5911yescharacteristic
990#466C22×C5911yescharacteristic
991#465C22×C5911yescharacteristic, complemented
992#464C22×C5911yescharacteristic
993#464C22×C5911yescharacteristic
994#464C22×C5911yescharacteristic
995#464C22×C5911yescharacteristic
996#464C22×C5911yescharacteristic
997#464C22×C5911yescharacteristic
998#464C22×C5911yescharacteristic
999#464C22×C5911yescharacteristic
1000#464C22×C5911yescharacteristic
1001#464C22×C5911yescharacteristic, complemented
1002#464C22×C5911yescharacteristic, complemented
1003#464C22×C5911yescharacteristic, complemented
1004#463C22×C5911yescharacteristic
1005#463C22×C5911yescharacteristic
1006#463C22×C5911yescharacteristic
1007#463C22×C5911yescharacteristic
1008#463C22×C5911yescharacteristic
1009#463C22×C5911yescharacteristic
1010#463C22×C5911yescharacteristic
1011#463C22×C5911yescharacteristic
1012#462C22×C5911yescharacteristic, complemented
1013#462C22×C5911yescharacteristic, complemented
1014#462C22×C5911yescharacteristic, complemented
1015#462C22×C5911yescharacteristic, complemented
1016#462C22×C5911yescharacteristic, complemented
1017#461C22×C5911yescharacteristic, complemented
1018#461C22×C5911yescharacteristic, complemented
1019#461C22×C5911yescharacteristic, complemented
1020#460C22×C5911yescharacteristic, complemented
1021#459C22×C5911yescharacteristic
1022#452C22×C5911yescharacteristic
1023#452C22×C5911yescharacteristic
1024#452C22×C5911yescharacteristic
1025#452C22×C5911yescharacteristic, complemented
1026#451C22×C5911yescharacteristic
1027#451C22×C5911yescharacteristic, complemented
1028#451C22×C5911yescharacteristic, complemented
1029#450C22×C5911yescharacteristic
1030#449C22×C5911yescharacteristic
1031#449C22×C5911yescharacteristic
1032#449C22×C5911yescharacteristic
1033#449C22×C5911yescharacteristic
1034#448C22×C5911yescharacteristic
1035#448C22×C5911yescharacteristic
1036#448C22×C5911yescharacteristic, complemented
1037#448C22×C5911yescharacteristic, complemented
1038#448C22×C5911yescharacteristic, complemented
1039#447C22×C5911yescharacteristic
1040#446C22×C5911yescharacteristic, complemented
1041C8×Q8C22×C5911yescharacteristic, complemented
1042#442C22×C5911yescharacteristic
1043#441C22×C5911yescharacteristic, complemented
1044#441C22×C5911yescharacteristic, complemented
1045#440C22×C5911yescharacteristic
1046C4×Q16C22×C5911yescharacteristic, complemented
1047C4×Q16C22×C5911yescharacteristic, complemented
1048C4×Q16C22×C5911yescharacteristic, complemented
1049C4×SD16C22×C5911yescharacteristic
1050C4×SD16C22×C5911yescharacteristic
1051C4×SD16C22×C5911yescharacteristic, complemented
1052C4×SD16C22×C5911yescharacteristic, complemented
1053C4×SD16C22×C5911yescharacteristic, complemented
1054#436C22×C5911yescharacteristic
1055#436C22×C5911yescharacteristic
1056#436C22×C5911yescharacteristic, complemented
1057#435C22×C5911yescharacteristic
1058#435C22×C5911yescharacteristic
1059C8×D4C22×C5911yescharacteristic, complemented
1060#433C22×C5911yescharacteristic, complemented
1061#433C22×C5911yescharacteristic, complemented
1062#431C22×C5911yescharacteristic
1063#424C22×C5911yescharacteristic, complemented
1064#424C22×C5911yescharacteristic, complemented
1065#423C22×C5911yescharacteristic
1066#419C22×C5911yescharacteristic
1067#419C22×C5911yescharacteristic, complemented
1068#418C22×C5911yescharacteristic
1069#417C22×C5911yescharacteristic
1070#416C22×C5911yescharacteristic
1071C2×#103C22×C5911yescharacteristic, complemented
1072C59#6205011yescharacteristic, direct product factor, Sylow
1073C2×#41C23×C5911yescharacteristic
1074C2×#41C23×C5911yescharacteristic
1075C2×#41C23×C5911yescharacteristic
1076C2×#41C23×C5911yescharacteristic
1077C22×Q8C23×C5911yescharacteristic
1078C22×Q8C23×C5911yescharacteristic
1079C22×Q8C23×C5911yescharacteristic
1080C22×Q8C23×C5911yescharacteristic
1081C22×D4C23×C5911yescharacteristic
1082#137—42no—
1083#137—42no—
1084#137—42no—
1085AGL(1,ℤ/8)—42no—
1086#135—42no—
1087C2×Q16—42no—
1088C2×Q16C23×C5911yescharacteristic
1089C2×Q16C23×C5911yescharacteristic
1090C2×Q16C23×C5911yescharacteristic
1091C2×Q16C23×C5911yescharacteristic
1092C2×Q16C23×C5911yescharacteristic
1093C2×Q16C23×C5911yescharacteristic
1094C2×Q16C23×C5911yescharacteristic
1095C2×Q16C23×C5911yescharacteristic
1096C2×SD16C23×C5911yescharacteristic
1097C2×SD16C23×C5911yescharacteristic
1098C2×SD16C23×C5911yescharacteristic
1099C2×SD16C23×C5911yescharacteristic
1100C2×SD16C23×C5911yescharacteristic
1101C2×SD16C23×C5911yescharacteristic
1102C2×SD16C23×C5911yescharacteristic
1103C2×SD16C23×C5911yescharacteristic
1104C2×SD16C23×C5911yescharacteristic
1105C2×SD16C23×C5911yescharacteristic
1106C2×SD16C23×C5911yescharacteristic
1107C2×SD16C23×C5911yescharacteristic
1108C2×D8C23×C5911yescharacteristic
1109C2×D8C23×C5911yescharacteristic
1110C2×D8C23×C5911yescharacteristic
1111C2×D8C23×C5911yescharacteristic
1112C2×M16C23×C5911yescharacteristic
1113C2×M16C23×C5911yescharacteristic
1114C2×M16C23×C5911yescharacteristic
1115C2×M16C23×C5911yescharacteristic
1116C22×C8C23×C5911yescharacteristic
1117C22×C8C23×C5911yescharacteristic
1118C4⋊Q8—21no—
1119C4⋊Q8—21no—
1120C4⋊Q8—21no—
1121C4⋊Q8C23×C5911yescharacteristic
1122C4⋊Q8C23×C5911yescharacteristic
1123C4⋊Q8C23×C5911yescharacteristic
1124C4⋊Q8C23×C5911yescharacteristic
1125C4⋊Q8C23×C5911yescharacteristic
1126#127—21no—
1127#127C23×C5911yescharacteristic
1128#126—21no—
1129#126—21no—
1130#126—21no—
1131#126—21no—
1132#126—21no—
1133#126—21no—
1134#126—21no—
1135#126—21no—
1136#126—21no—
1137#126—21no—
1138#126D4×C5911yescharacteristic
1139#126D4×C5911yescharacteristic
1140#125—21no—
1141#125—21no—
1142#125—21no—
1143#125—21no—
1144#125D4×C5911yescharacteristic
1145#125C23×C5911yescharacteristic
1146#125C23×C5911yescharacteristic
1147#124—21no—
1148#124—21no—
1149#124—21no—
1150#124—21no—
1151#124—21no—
1152#124—21no—
1153#124—21no—
1154#124—21no—
1155#124—21no—
1156#124—21no—
1157#124—21no—
1158#124—21no—
1159#124D4×C5911yescharacteristic
1160#124C23×C5911yescharacteristic
1161#124C23×C5911yescharacteristic
1162#124C23×C5911yescharacteristic
1163#124C23×C5911yescharacteristic
1164#124C23×C5911yescharacteristic
1165#124C23×C5911yescharacteristic
1166#124C23×C5911yescharacteristic
1167#124C23×C5911yescharacteristic
1168#123—21no—
1169#123—21no—
1170#123—21no—
1171#123—21no—
1172#123—21no—
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#123D4×C5911yescharacteristic
1185#123D4×C5911yescharacteristic
1186C22⋊Q8—21no—
1187C22⋊Q8—21no—
1188C22⋊Q8—21no—
1189C22⋊Q8—21no—
1190C22⋊Q8—21no—
1191C22⋊Q8—21no—
1192C22⋊Q8—21no—
1193C22⋊Q8—21no—
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
1211#121—21no—
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#121D4×C5911yescharacteristic
1224#121C23×C5911yescharacteristic
1225#121C23×C5911yescharacteristic
1226#121C23×C5911yescharacteristic
1227#121C23×C5911yescharacteristic
1228#121C23×C5911yescharacteristic
1229#121C23×C5911yescharacteristic
1230#120—21no—
1231#120—21no—
1232C4×Q8—21no—
1233C4×Q8—21no—
1234C4×Q8—21no—
1235C4×Q8—21no—
1236C4×Q8C23×C5911yescharacteristic
1237C4×Q8C23×C5911yescharacteristic
1238C4×Q8C23×C5911yescharacteristic
1239C4×Q8C23×C5911yescharacteristic
1240C4×Q8C23×C5911yescharacteristic
1241C4×Q8C23×C5911yescharacteristic
1242C4×Q8C23×C5911yescharacteristic
1243C4×Q8C23×C5911yescharacteristic
1244C4×Q8C23×C5911yescharacteristic
1245C4×Q8C23×C5911yescharacteristic
1246C4×Q8C23×C5911yescharacteristic
1247C4×D4—21no—
1248C4×D4—21no—
1249C4×D4—21no—
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×D4C23×C5911yescharacteristic
1262C4×D4C23×C5911yescharacteristic
1263C4×D4C23×C5911yescharacteristic
1264C4×D4C23×C5911yescharacteristic
1265C4×D4C23×C5911yescharacteristic
1266C4×D4C23×C5911yescharacteristic
1267C4×D4C23×C5911yescharacteristic
1268C4×D4C23×C5911yescharacteristic
1269C4×D4C23×C5911yescharacteristic
1270#117—21no—
1271#117—21no—
1272#117—21no—
1273#117—21no—
1274#117—21no—
1275#117—21no—
1276#117—21no—
1277#117—21no—
1278#117—21no—
1279#117—21no—
1280#117C23×C5911yescharacteristic
1281#117C23×C5911yescharacteristic
1282#117C23×C5911yescharacteristic
1283#117C23×C5911yescharacteristic
1284C2×C4⋊C4—21no—
1285C2×C4⋊C4C23×C5911yescharacteristic
1286C2×C22⋊C4—21no—
1287C2×C22⋊C4—21no—
1288C2×C22⋊C4—21no—
1289C2×C22⋊C4—21no—
1290C2×C42—21no—
1291C2×C42C23×C5911yescharacteristic
1292#107C23×C5911yescharacteristic
1293#107C23×C5911yescharacteristic
1294#107C23×C5911yescharacteristic
1295#107C23×C5911yescharacteristic
1296#106C23×C5911yescharacteristic
1297#106C23×C5911yescharacteristic
1298#106C23×C5911yescharacteristic
1299#106C23×C5911yescharacteristic
1300C4⋊C8C23×C5911yescharacteristic
1301C4⋊C8C23×C5911yescharacteristic
1302C4⋊C8C23×C5911yescharacteristic
1303C4⋊C8C23×C5911yescharacteristic
1304C4⋊C8C23×C5911yescharacteristic
1305C4⋊C8C23×C5911yescharacteristic
1306C4⋊C8C23×C5911yescharacteristic
1307C4⋊C8C23×C5911yescharacteristic
1308C4⋊C8C23×C5911yescharacteristic
1309C4⋊C8C23×C5911yescharacteristic
1310#103C23×C5911yescharacteristic
1311#103C23×C5911yescharacteristic
1312#103C23×C5911yescharacteristic
1313#103C23×C5911yescharacteristic
1314#103C23×C5911yescharacteristic
1315#103C23×C5911yescharacteristic
1316#103C23×C5911yescharacteristic
1317#103C23×C5911yescharacteristic
1318#103C23×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#102C23×C5911yescharacteristic
1331#102C23×C5911yescharacteristic
1332#102C23×C5911yescharacteristic
1333#102C23×C5911yescharacteristic
1334#102C23×C5911yescharacteristic
1335#102C23×C5911yescharacteristic
1336#102C23×C5911yescharacteristic
1337#102C23×C5911yescharacteristic
1338#102C23×C5911yescharacteristic
1339#102C23×C5911yescharacteristic
1340#102C23×C5911yescharacteristic
1341#102C23×C5911yescharacteristic
1342C22⋊C8C23×C5911yescharacteristic
1343C22⋊C8C23×C5911yescharacteristic
1344C22⋊C8C23×C5911yescharacteristic
1345C22⋊C8C23×C5911yescharacteristic
1346C22⋊C8C23×C5911yescharacteristic
1347C22⋊C8C23×C5911yescharacteristic
1348#97C23×C5911yescharacteristic
1349#97C23×C5911yescharacteristic
1350C4×C8C23×C5911yescharacteristic
1351C4×C8C23×C5911yescharacteristic
1352C4×C8C23×C5911yescharacteristic
1353C4×C8C23×C5911yescharacteristic
1354C24—21no—
1355#41—22no—
1356#41—22no—
1357#41—41no—
1358#41—41no—
1359#41—41no—
1360#41—41no—
1361#41—41no—
1362#41—41no—
1363C2×Q8—21no—
1364C2×Q8—21no—
1365C2×Q8—21no—
1366C2×Q8—21no—
1367C2×Q8—21no—
1368C2×Q8—21no—
1369C2×Q8—22no—
1370C2×Q8—41no—
1371C2×Q8—41no—
1372C2×Q8—41no—
1373C2×Q8—41no—
1374C2×Q8—41no—
1375C2×Q8—41no—
1376C2×Q8—41no—
1377C2×Q8C2×D4×C5911yescharacteristic
1378C2×Q8C24×C5911yescharacteristic
1379C2×Q8C24×C5911yescharacteristic
1380C2×Q8C24×C5911yescharacteristic
1381C2×Q8C24×C5911yescharacteristic
1382C2×Q8C24×C5911yescharacteristic
1383C2×Q8C24×C5911yescharacteristic
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
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—41no—
1398C2×D4—41no—
1399C2×D4C2×D4×C5911yescharacteristic
1400C2×D4C2×D4×C5911yescharacteristic
1401C2×D4C2×D4×C5911yescharacteristic
1402C2×D4C24×C5911yescharacteristic
1403C2×D4C24×C5911yescharacteristic
1404C2×D4C24×C5911yescharacteristic
1405C2×D4C24×C5911yescharacteristic
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—21no—
1414C22×C4—21no—
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4C2×D4×C5911yescharacteristic
1422C22×C4C2×D4×C5911yescharacteristic
1423C22×C4C24×C5911yescharacteristic
1424C22×C4C24×C5911yescharacteristic
1425C22×C4C24×C5911yescharacteristic
1426Q16—22no—
1427Q16—22no—
1428Q16—22no—
1429Q16—22no—
1430Q16—41no—
1431Q16—41no—
1432Q16—41no—
1433Q16—41no—
1434SD16—22no—
1435SD16—22no—
1436SD16—41no—
1437SD16—41no—
1438SD16—41no—
1439SD16—41no—
1440SD16—41no—
1441SD16—41no—
1442SD16—41no—
1443SD16—41no—
1444SD16—41no—
1445SD16—41no—
1446D8—41no—
1447D8—41no—
1448D8—41no—
1449D8—41no—
1450M16—41no—
1451M16—41no—
1452M16—41no—
1453M16—41no—
1454C2×C8—41no—
1455C2×C8—41no—
1456C2×C8C24×C5911yescharacteristic
1457C2×C8C24×C5911yescharacteristic
1458C2×C8C24×C5911yescharacteristic
1459C2×C8C24×C5911yescharacteristic
1460C2×C8C24×C5911yescharacteristic
1461C2×C8C24×C5911yescharacteristic
1462C2×C8C24×C5911yescharacteristic
1463C2×C8C24×C5911yescharacteristic
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
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⋊C4C2×D4×C5911yescharacteristic
1494C4⋊C4C2×D4×C5911yescharacteristic
1495C4⋊C4C2×D4×C5911yescharacteristic
1496C4⋊C4C2×D4×C5911yescharacteristic
1497C4⋊C4C2×D4×C5911yescharacteristic
1498C4⋊C4C2×D4×C5911yescharacteristic
1499C4⋊C4C2×D4×C5911yescharacteristic
1500C4⋊C4C2×D4×C5911yescharacteristic
1501C4⋊C4C2×D4×C5911yescharacteristic
1502C4⋊C4C2×D4×C5911yescharacteristic
1503C4⋊C4C24×C5911yescharacteristic
1504C4⋊C4C24×C5911yescharacteristic
1505C4⋊C4C24×C5911yescharacteristic
1506C4⋊C4C24×C5911yescharacteristic
1507C4⋊C4C24×C5911yescharacteristic
1508C4⋊C4C24×C5911yescharacteristic
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
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⋊C4C2×D4×C5911yescharacteristic
1546C22⋊C4C2×D4×C5911yescharacteristic
1547C22⋊C4C2×D4×C5911yescharacteristic
1548C22⋊C4C2×D4×C5911yescharacteristic
1549C22⋊C4C2×D4×C5911yescharacteristic
1550C22⋊C4C2×D4×C5911yescharacteristic
1551C22⋊C4C2×D4×C5911yescharacteristic
1552C22⋊C4C2×D4×C5911yescharacteristic
1553C22⋊C4C2×D4×C5911yescharacteristic
1554C22⋊C4C2×D4×C5911yescharacteristic
1555C42—21no—
1556C42—21no—
1557C42—21no—
1558C42—21no—
1559C42—21no—
1560C42—21no—
1561C42—21no—
1562C42—21no—
1563C42—21no—
1564C42—21no—
1565C42—21no—
1566C42—21no—
1567C42C2×D4×C5911yescharacteristic
1568C42C2×D4×C5911yescharacteristic
1569C42C24×C5911yescharacteristic
1570C42C24×C5911yescharacteristic
1571C42C24×C5911yescharacteristic
1572C42C24×C5911yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—42no—
1578C23—81no—
1579C23—81no—
1580C23C22×D4×C5911yescharacteristic
1581C23C22×D4×C5911yescharacteristic
1582C23C22×D4×C5911yescharacteristic
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—21no—
1587Q8—21no—
1588Q8—21no—
1589Q8—21no—
1590Q8—21no—
1591Q8—21no—
1592Q8—21no—
1593Q8—21no—
1594Q8—41no—
1595Q8—42no—
1596Q8—81no—
1597Q8—81no—
1598Q8—81no—
1599Q8—81no—
1600Q8—81no—
1601Q8H(5,𝔽2)×C5912yes—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—21no—
1607D4—21no—
1608D4—21no—
1609D4—21no—
1610D4—41no—
1611D4—41no—
1612D4—41no—
1613D4—42no—
1614D4—42no—
1615D4—81no—
1616D4—81no—
1617D4—81no—
1618D4—81no—
1619D4—81no—
1620D4—81no—
1621D4—81no—
1622D4—81no—
1623D4—81no—
1624D4—81no—
1625D4—81no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—41no—
1645C2×C4—41no—
1646C2×C4—42no—
1647C2×C4—42no—
1648C2×C4—42no—
1649C2×C4—81no—
1650C2×C4—81no—
1651C2×C4—81no—
1652C2×C4—81no—
1653C2×C4—81no—
1654C2×C4—81no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4—81no—
1661C2×C4C22×D4×C5911yescharacteristic
1662C2×C4C22×D4×C5911yescharacteristic
1663C2×C4C22×D4×C5911yescharacteristic
1664C2×C4C22×D4×C5911yescharacteristic
1665C2×C4C22×D4×C5911yescharacteristic
1666C2×C4C22×D4×C5911yescharacteristic
1667C2×C4C22×D4×C5911yescharacteristic
1668C2×C4C22×D4×C5911yescharacteristic
1669C2×C4C22×D4×C5911yescharacteristic
1670C2×C4C22×D4×C5911yescharacteristic
1671C2×C4C22×D4×C5911yescharacteristic
1672C2×C4C25×C5911yescharacteristic
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—21no—
1677C8—21no—
1678C8—21no—
1679C8—21no—
1680C8—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—21no—
1686C22—21no—
1687C22—21no—
1688C22—21no—
1689C22—21no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—162no—
1703C22C23×D4×C5911yescharacteristic
1704C4—21no—
1705C4—21no—
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—21no—
1714C4—21no—
1715C4—22no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4C2×H(5,𝔽2)×C5911yescharacteristic
1728C4C59×#58511yescharacteristic
1729C2—41no—
1730C2—41no—
1731C2—41no—
1732C2—81no—
1733C2—81no—
1734C2—81no—
1735C2—81no—
1736C2C59×#348811yescharacteristic
1737C2C59×#358411yescharacteristic
1738C2C59×#358611yescharacteristic
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×#3561C2semidirect
2. C59×#3524C2semidirect
3. C59×#3401C2semidirect
4. C59×#3394C2semidirect
5. C59×#3377C2semidirect
6. C59×#3364C2semidirect
7. C59×#3329C2semidirect
8. C59×#3326C2semidirect
9. C59×#3323C2semidirect
10. C59×#3319C2semidirect
11. C59×#3312C2semidirect
12. C59×#3301C2semidirect
13. C59×#3285C2semidirect
14. C59×#3278C2semidirect
15. C59×#3277C2semidirect
16. C59×#3275C2semidirect
17. C59×#3270C2semidirect
18. C59×#3268C2semidirect
19. C59×#3262C2semidirect
20. C59×#3257C2semidirect
21. C59×#3252C2semidirect
22. C59×#3225C2semidirect
23. C59×#3221C2semidirect
24. C59×#3211C2semidirect
25. C59×#3125C2semidirect
26. C59×#3121C2semidirect
27. C59×#3107C2semidirect
28. C59×#3046C2semidirect
29. C59×#3044C2semidirect
30. C59×#3040C2semidirect
31. C59×#2993C2semidirect
34. C2×#137×C59C22semidirect
37. C22×Q16×C59C22semidirect
41. C59×#559C22semidirect
42. C59×#557C22semidirect
48. C59×#553C22semidirect
59. C59×#548C22semidirect
68. C59×#542C22semidirect
70. C59×#540C22semidirect
80. C59×#520C22semidirect
81. C59×#519C22semidirect
83. C59×#497C22semidirect
88. C59×#492C22semidirect
89. C59×#491C22semidirect
94. C59×#487C22semidirect
97. C59×#485C22semidirect
98. C59×#483C22semidirect
101. C59×#479C22semidirect
102. C59×#479C22semidirect
103. C59×#479C22semidirect
105. C59×#477C22semidirect
106. C59×#477C22semidirect
107. C59×#476C22semidirect
108. C59×#475C22semidirect
110. C59×#474C22semidirect
117. C59×#468C22semidirect
118. C59×#468C22semidirect
119. C59×#467C22semidirect
122. C59×#465C22semidirect
132. C59×#464C22semidirect
133. C59×#464C22semidirect
134. C59×#464C22semidirect
143. C59×#462C22semidirect
144. C59×#462C22semidirect
145. C59×#462C22semidirect
146. C59×#462C22semidirect
147. C59×#462C22semidirect
148. C59×#461C22semidirect
149. C59×#461C22semidirect
150. C59×#461C22semidirect
151. C59×#460C22semidirect
156. C59×#452C22semidirect
158. C59×#451C22semidirect
159. C59×#451C22semidirect
167. C59×#448C22semidirect
168. C59×#448C22semidirect
169. C59×#448C22semidirect
171. C59×#446C22semidirect
172. C8×Q8×C59C22semidirect
174. C59×#441C22semidirect
175. C59×#441C22semidirect
177. C4×Q16×C59C22semidirect
178. C4×Q16×C59C22semidirect
179. C4×Q16×C59C22semidirect
182. C4×SD16×C59C22semidirect
183. C4×SD16×C59C22semidirect
184. C4×SD16×C59C22semidirect
187. C59×#436C22semidirect
190. C8×D4×C59C22semidirect
191. C59×#433C22semidirect
192. C59×#433C22semidirect
194. C59×#424C22semidirect
195. C59×#424C22semidirect
198. C59×#419C22semidirect
202. C2×#103×C59C22semidirect
811. #62050C59direct (N × H)
860. #3561C2×C59semidirect
861. #3524C2×C59semidirect
862. #3401C2×C59semidirect
863. #3394C2×C59semidirect
864. #3377C2×C59semidirect
865. #3364C2×C59semidirect
866. #3329C2×C59semidirect
867. #3326C2×C59semidirect
868. #3323C2×C59semidirect
869. #3319C2×C59semidirect
870. #3312C2×C59semidirect
871. #3301C2×C59semidirect
872. #3285C2×C59semidirect
873. #3278C2×C59semidirect
874. #3277C2×C59semidirect
875. #3275C2×C59semidirect
876. #3270C2×C59semidirect
877. #3268C2×C59semidirect
878. #3262C2×C59semidirect
879. #3257C2×C59semidirect
880. #3252C2×C59semidirect
881. #3225C2×C59semidirect
882. #3221C2×C59semidirect
883. #3211C2×C59semidirect
884. #3125C2×C59semidirect
885. #3121C2×C59semidirect
886. #3107C2×C59semidirect
887. #3046C2×C59semidirect
888. #3044C2×C59semidirect
889. #3040C2×C59semidirect
890. #2993C2×C59semidirect
903. C2×#137C22×C59semidirect
906. C22×Q16C22×C59semidirect
910. #559C22×C59semidirect
911. #557C22×C59semidirect
917. #553C22×C59semidirect
928. #548C22×C59semidirect
937. #542C22×C59semidirect
939. #540C22×C59semidirect
949. #520C22×C59semidirect
950. #519C22×C59semidirect
952. #497C22×C59semidirect
957. #492C22×C59semidirect
958. #491C22×C59semidirect
963. #487C22×C59semidirect
966. #485C22×C59semidirect
967. #483C22×C59semidirect
970. #479C22×C59semidirect
971. #479C22×C59semidirect
972. #479C22×C59semidirect
974. #477C22×C59semidirect
975. #477C22×C59semidirect
976. #476C22×C59semidirect
977. #475C22×C59semidirect
979. #474C22×C59semidirect
986. #468C22×C59semidirect
987. #468C22×C59semidirect
988. #467C22×C59semidirect
991. #465C22×C59semidirect
1001. #464C22×C59semidirect
1002. #464C22×C59semidirect
1003. #464C22×C59semidirect
1012. #462C22×C59semidirect
1013. #462C22×C59semidirect
1014. #462C22×C59semidirect
1015. #462C22×C59semidirect
1016. #462C22×C59semidirect
1017. #461C22×C59semidirect
1018. #461C22×C59semidirect
1019. #461C22×C59semidirect
1020. #460C22×C59semidirect
1025. #452C22×C59semidirect
1027. #451C22×C59semidirect
1028. #451C22×C59semidirect
1036. #448C22×C59semidirect
1037. #448C22×C59semidirect
1038. #448C22×C59semidirect
1040. #446C22×C59semidirect
1041. C8×Q8C22×C59semidirect
1043. #441C22×C59semidirect
1044. #441C22×C59semidirect
1046. C4×Q16C22×C59semidirect
1047. C4×Q16C22×C59semidirect
1048. C4×Q16C22×C59semidirect
1051. C4×SD16C22×C59semidirect
1052. C4×SD16C22×C59semidirect
1053. C4×SD16C22×C59semidirect
1056. #436C22×C59semidirect
1059. C8×D4C22×C59semidirect
1060. #433C22×C59semidirect
1061. #433C22×C59semidirect
1063. #424C22×C59semidirect
1064. #424C22×C59semidirect
1067. #419C22×C59semidirect
1071. C2×#103C22×C59semidirect
1072. C59#62050direct (N × H)

Maximal subgroups

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

subgroupindex
C59×#35612
C59×#35242
C59×#34012
C59×#33942
C59×#33772
C59×#33642
C59×#33292
C59×#33262
C59×#33232
C59×#33192
C59×#33122
C59×#33012
C59×#32852
C59×#32782
C59×#32772
C59×#32752
C59×#32702
C59×#32682
C59×#32622
C59×#32572
C59×#32522
C59×#32252
C59×#32212
C59×#32112
C59×#31252
C59×#31212
C59×#31072
C59×#30462
C59×#30442
C59×#30402
C59×#29932
#6205059