Finite Group Databasebeta

← C59×#62195 #28474304

Subgroups — C59×#62195 #28474304

Order 15104.

1708 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C59×#3559C211yesmaximal, characteristic, complemented
2C59×#3521C211yesmaximal, characteristic, complemented
3C59×#3389C211yesmaximal, characteristic, complemented
4C59×#3380C211yesmaximal, characteristic, complemented
5C59×#3376C211yesmaximal, characteristic, complemented
6C59×#3360C211yesmaximal, characteristic, complemented
7C59×#3355C211yesmaximal, characteristic, complemented
8C59×#3353C211yesmaximal, characteristic, complemented
9C59×#3351C211yesmaximal, characteristic, complemented
10C59×#3350C211yesmaximal, characteristic, complemented
11C59×#3345C211yesmaximal, characteristic, complemented
12C59×#3337C211yesmaximal, characteristic, complemented
13C59×#3330C211yesmaximal, characteristic, complemented
14C59×#3322C211yesmaximal, characteristic, complemented
15C59×#3322C211yesmaximal, characteristic, complemented
16C59×#3307C211yesmaximal, characteristic, complemented
17C59×#3306C211yesmaximal, characteristic, complemented
18C59×#3297C211yesmaximal, characteristic, complemented
19C59×#3260C211yesmaximal, characteristic, complemented
20C59×#3257C211yesmaximal, characteristic, complemented
21C59×#3251C211yesmaximal, characteristic, complemented
22C59×#3243C211yesmaximal, characteristic, complemented
23C59×#3242C211yesmaximal, characteristic, complemented
24C59×#3232C211yesmaximal, characteristic, complemented
25C59×#3122C211yesmaximal, characteristic, complemented
26C59×#3119C211yesmaximal, characteristic, complemented
27C59×#3106C211yesmaximal, characteristic, complemented
28C59×#3084C211yesmaximal, characteristic, complemented
29C59×#3081C211yesmaximal, characteristic, complemented
30C59×#3080C211yesmaximal, characteristic, complemented
31C59×#2993C211yesmaximal, characteristic, complemented
32C59×#563—21no—
33C59×#562—21no—
34C59×#556C2211yescharacteristic
35C59×#556C2211yescharacteristic
36C59×#554C2211yescharacteristic
37C59×#554C2211yescharacteristic, complemented
38C59×#554C2211yescharacteristic, complemented
39C59×#553—21no—
40C59×#553C2211yescharacteristic
41C59×#553C2211yescharacteristic
42C59×#553C2211yescharacteristic
43C59×#553C2211yescharacteristic
44C59×#553C2211yescharacteristic, complemented
45C59×#552—21no—
46C59×#552C2211yescharacteristic
47C59×#551—21no—
48C59×#551—21no—
49C59×#547—21no—
50C59×#547—21no—
51C59×#547C2211yescharacteristic
52C59×#547C2211yescharacteristic
53C59×#547C2211yescharacteristic, complemented
54C59×#546C2211yescharacteristic
55C59×#546C2211yescharacteristic
56C59×#544C2211yescharacteristic
57C59×#544C2211yescharacteristic, complemented
58C59×#542C2211yescharacteristic
59C59×#541C2211yescharacteristic
60C59×#540C2211yescharacteristic
61C59×#540C2211yescharacteristic, complemented
62C59×#539—21no—
63C59×#539—21no—
64C59×#539—21no—
65C59×#539—21no—
66C59×#538—21no—
67C59×#537—21no—
68C59×#532C2211yescharacteristic, complemented
69C59×#529—21no—
70C59×#529C2211yescharacteristic
71C59×#529C2211yescharacteristic
72C2×#126×C59—21no—
73C2×#125×C59C2211yescharacteristic, complemented
74C59×#520C2211yescharacteristic
75C59×#518C2211yescharacteristic
76C4×#41×C59C2211yescharacteristic
77C59×#501C2211yescharacteristic, complemented
78C59×#501C2211yescharacteristic, complemented
79C59×#500C2211yescharacteristic, complemented
80C59×#499C2211yescharacteristic, complemented
81C59×#499C2211yescharacteristic, complemented
82C59×#499C2211yescharacteristic, complemented
83C59×#491C2211yescharacteristic, complemented
84C59×#489C2211yescharacteristic
85C59×#488C2211yescharacteristic
86C59×#488C2211yescharacteristic
87C59×#488C2211yescharacteristic
88C59×#487C2211yescharacteristic, complemented
89C59×#485C2211yescharacteristic
90C59×#485C2211yescharacteristic
91C59×#485C2211yescharacteristic, complemented
92C59×#484C2211yescharacteristic
93C59×#484C2211yescharacteristic, complemented
94C59×#484C2211yescharacteristic, complemented
95C59×#483C2211yescharacteristic
96C59×#483C2211yescharacteristic, complemented
97C59×#482C2211yescharacteristic
98C59×#482C2211yescharacteristic
99C59×#482C2211yescharacteristic
100C59×#482C2211yescharacteristic, complemented
101C59×#482C2211yescharacteristic, complemented
102C59×#481C2211yescharacteristic
103C59×#481C2211yescharacteristic, complemented
104C59×#480C2211yescharacteristic
105C59×#480C2211yescharacteristic
106C59×#480C2211yescharacteristic, complemented
107C59×#479C2211yescharacteristic, complemented
108C59×#479C2211yescharacteristic, complemented
109C59×#479C2211yescharacteristic, complemented
110C59×#479C2211yescharacteristic, complemented
111C59×#479C2211yescharacteristic, complemented
112C59×#479C2211yescharacteristic, complemented
113C59×#479C2211yescharacteristic, complemented
114C59×#478C2211yescharacteristic
115C59×#478C2211yescharacteristic
116C59×#478C2211yescharacteristic
117C59×#478C2211yescharacteristic
118C59×#478C2211yescharacteristic
119C59×#478C2211yescharacteristic
120C59×#478C2211yescharacteristic
121C59×#478C2211yescharacteristic
122C59×#478C2211yescharacteristic
123C59×#478C2211yescharacteristic, complemented
124C59×#478C2211yescharacteristic, complemented
125C59×#478C2211yescharacteristic, complemented
126C59×#478C2211yescharacteristic, complemented
127C59×#477C2211yescharacteristic, complemented
128C59×#476C2211yescharacteristic
129C59×#476C2211yescharacteristic
130C59×#476C2211yescharacteristic
131C59×#476C2211yescharacteristic, complemented
132C59×#475C2211yescharacteristic, complemented
133C59×#475C2211yescharacteristic, complemented
134C59×#474C2211yescharacteristic
135C59×#474C2211yescharacteristic
136C59×#474C2211yescharacteristic, complemented
137C59×#469C2211yescharacteristic
138C59×#469C2211yescharacteristic
139C59×#469C2211yescharacteristic
140C59×#468C2211yescharacteristic
141C59×#468C2211yescharacteristic
142C59×#468C2211yescharacteristic, complemented
143C59×#468C2211yescharacteristic, complemented
144C59×#468C2211yescharacteristic, complemented
145C59×#466C2211yescharacteristic
146C59×#465C2211yescharacteristic
147C59×#465C2211yescharacteristic
148C59×#465C2211yescharacteristic, complemented
149C59×#463C2211yescharacteristic
150C59×#463C2211yescharacteristic
151C59×#463C2211yescharacteristic
152C59×#463C2211yescharacteristic
153C59×#461C2211yescharacteristic, complemented
154C59×#461C2211yescharacteristic, complemented
155C59×#460C2211yescharacteristic, complemented
156C59×#460C2211yescharacteristic, complemented
157C59×#459C2211yescharacteristic
158C59×#459C2211yescharacteristic
159C59×#449C2211yescharacteristic
160C59×#449C2211yescharacteristic
161C59×#449C2211yescharacteristic
162C59×#449C2211yescharacteristic
163C59×#447C2211yescharacteristic
164C59×#447C2211yescharacteristic
165C59×#446C2211yescharacteristic, complemented
166C8×Q8×C59C2211yescharacteristic, complemented
167C59×#442C2211yescharacteristic
168C59×#442C2211yescharacteristic
169C59×#442C2211yescharacteristic
170C59×#440C2211yescharacteristic, complemented
171C4×SD16×C59C2211yescharacteristic, complemented
172C4×SD16×C59C2211yescharacteristic, complemented
173C4×SD16×C59C2211yescharacteristic, complemented
174C4×D8×C59C2211yescharacteristic
175C4×D8×C59C2211yescharacteristic
176C4×D8×C59C2211yescharacteristic
177C4×D8×C59C2211yescharacteristic
178C4×D8×C59C2211yescharacteristic
179C59×#436C2211yescharacteristic
180C59×#436C2211yescharacteristic
181C59×#436C2211yescharacteristic, complemented
182C59×#435C2211yescharacteristic
183C59×#435C2211yescharacteristic, complemented
184C8×D4×C59C2211yescharacteristic
185C59×#433C2211yescharacteristic
186C59×#433C2211yescharacteristic, complemented
187C59×#431C2211yescharacteristic, complemented
188C59×#428C2211yescharacteristic
189C59×#428C2211yescharacteristic, complemented
190C59×#428C2211yescharacteristic, complemented
191C59×#428C2211yescharacteristic, complemented
192C59×#427C2211yescharacteristic
193C2×#106×C59C2211yescharacteristic, complemented
194C59×#424C2211yescharacteristic
195C59×#424C2211yescharacteristic, complemented
196C59×#423C2211yescharacteristic, complemented
197C59×#418C2211yescharacteristic
198C59×#417C2211yescharacteristic
199C59×#417C2211yescharacteristic
200C59×#417C2211yescharacteristic
201C59×#416C2211yescharacteristic
202C2×#102×C59C2211yescharacteristic
203C2×#41×C59—21no—
204C2×#41×C59—21no—
205C2×#41×C59—21no—
206C2×#41×C59C2311yescharacteristic
207C2×#41×C59C2311yescharacteristic
208C22×D4×C59C2311yescharacteristic
209C2×SD16×C59C2311yescharacteristic
210C2×SD16×C59C2311yescharacteristic
211C2×SD16×C59C2311yescharacteristic
212C2×SD16×C59C2311yescharacteristic
213C2×D8×C59C2311yescharacteristic
214C2×D8×C59C2311yescharacteristic
215C2×D8×C59C2311yescharacteristic
216C2×D8×C59C2311yescharacteristic
217C2×M16×C59C2311yescharacteristic
218C2×M16×C59C2311yescharacteristic
219C2×M16×C59C2311yescharacteristic
220C2×M16×C59C2311yescharacteristic
221C22×C8×C59C2311yescharacteristic
222C22×C8×C59C2311yescharacteristic
223C4⋊Q8×C59—21no—
224C4⋊Q8×C59—21no—
225C4⋊Q8×C59C2311yescharacteristic
226C4⋊Q8×C59C2311yescharacteristic
227C4⋊Q8×C59C2311yescharacteristic
228C4⋊Q8×C59C2311yescharacteristic
229C4⋊Q8×C59C2311yescharacteristic
230#127×C59C2311yescharacteristic
231#126×C59—21no—
232#126×C59—21no—
233#126×C59—21no—
234#126×C59—21no—
235#126×C59—21no—
236#126×C59—21no—
237#126×C59—21no—
238#126×C59—21no—
239#126×C59—21no—
240#126×C59—21no—
241#126×C59—21no—
242#126×C59—21no—
243#126×C59—21no—
244#126×C59—21no—
245#126×C59D411yescharacteristic
246#126×C59D411yescharacteristic
247#125×C59—21no—
248#125×C59—21no—
249#125×C59—21no—
250#125×C59—21no—
251#125×C59—21no—
252#125×C59—21no—
253#125×C59—21no—
254#125×C59D411yescharacteristic
255#125×C59C2311yescharacteristic
256#125×C59C2311yescharacteristic
257#125×C59C2311yescharacteristic
258#125×C59C2311yescharacteristic
259#125×C59C2311yescharacteristic
260#125×C59C2311yescharacteristic
261#125×C59C2311yescharacteristic
262#125×C59C2311yescharacteristic
263#124×C59—21no—
264#124×C59—21no—
265#124×C59—21no—
266#124×C59D411yescharacteristic
267#124×C59C2311yescharacteristic
268#124×C59C2311yescharacteristic
269#123×C59—21no—
270#123×C59—21no—
271#123×C59—21no—
272#123×C59—21no—
273#123×C59—21no—
274#123×C59—21no—
275#123×C59—21no—
276#123×C59—21no—
277#123×C59—21no—
278#123×C59—21no—
279#123×C59—21no—
280#123×C59—21no—
281#123×C59—21no—
282#123×C59—21no—
283#123×C59—21no—
284#123×C59—21no—
285#123×C59—21no—
286#123×C59—21no—
287#123×C59—21no—
288#123×C59—21no—
289#123×C59D411yescharacteristic
290#123×C59D411yescharacteristic
291C22⋊Q8×C59—21no—
292C22⋊Q8×C59—21no—
293C22⋊Q8×C59—21no—
294C22⋊Q8×C59—21no—
295C22⋊Q8×C59—21no—
296C22⋊Q8×C59—21no—
297C22⋊Q8×C59—21no—
298C22⋊Q8×C59—21no—
299C22⋊Q8×C59—21no—
300C22⋊Q8×C59—21no—
301C22⋊Q8×C59—21no—
302C22⋊Q8×C59—21no—
303C22⋊Q8×C59—21no—
304C22⋊Q8×C59—21no—
305C22⋊Q8×C59—21no—
306C22⋊Q8×C59—21no—
307C22⋊Q8×C59—21no—
308C22⋊Q8×C59D411yescharacteristic
309C22⋊Q8×C59C2311yescharacteristic
310C22⋊Q8×C59C2311yescharacteristic
311C22⋊Q8×C59C2311yescharacteristic
312C22⋊Q8×C59C2311yescharacteristic
313#121×C59—21no—
314#121×C59—21no—
315#121×C59—21no—
316#121×C59—21no—
317#121×C59—21no—
318#121×C59—21no—
319#121×C59—21no—
320#121×C59—21no—
321#121×C59—21no—
322#121×C59—21no—
323#121×C59—21no—
324#121×C59—21no—
325#121×C59—21no—
326#121×C59D411yescharacteristic
327#121×C59C2311yescharacteristic
328#121×C59C2311yescharacteristic
329#121×C59C2311yescharacteristic
330#121×C59C2311yescharacteristic
331#121×C59C2311yescharacteristic
332#121×C59C2311yescharacteristic
333#121×C59C2311yescharacteristic
334#121×C59C2311yescharacteristic
335#120×C59—21no—
336#120×C59—21no—
337C4×Q8×C59—21no—
338C4×Q8×C59C2311yescharacteristic
339C4×Q8×C59C2311yescharacteristic
340C4×Q8×C59C2311yescharacteristic
341C4×Q8×C59C2311yescharacteristic
342C4×Q8×C59C2311yescharacteristic
343C4×D4×C59—21no—
344C4×D4×C59—21no—
345C4×D4×C59—21no—
346C4×D4×C59—21no—
347C4×D4×C59—21no—
348C4×D4×C59—21no—
349C4×D4×C59—21no—
350C4×D4×C59—21no—
351C4×D4×C59—21no—
352C4×D4×C59—21no—
353C4×D4×C59—21no—
354C4×D4×C59—21no—
355C4×D4×C59—21no—
356C4×D4×C59C2311yescharacteristic
357C4×D4×C59C2311yescharacteristic
358C4×D4×C59C2311yescharacteristic
359C4×D4×C59C2311yescharacteristic
360C4×D4×C59C2311yescharacteristic
361C4×D4×C59C2311yescharacteristic
362C4×D4×C59C2311yescharacteristic
363C4×D4×C59C2311yescharacteristic
364C4×D4×C59C2311yescharacteristic
365C4×D4×C59C2311yescharacteristic
366C4×D4×C59C2311yescharacteristic
367C4×D4×C59C2311yescharacteristic
368C4×D4×C59C2311yescharacteristic
369C4×D4×C59C2311yescharacteristic
370C4×D4×C59C2311yescharacteristic
371#117×C59—21no—
372#117×C59—21no—
373#117×C59—21no—
374#117×C59—21no—
375#117×C59—21no—
376#117×C59C2311yescharacteristic
377#117×C59C2311yescharacteristic
378#117×C59C2311yescharacteristic
379#117×C59C2311yescharacteristic
380#117×C59C2311yescharacteristic
381#117×C59C2311yescharacteristic
382C2×C4⋊C4×C59—21no—
383C2×C4⋊C4×C59—21no—
384C2×C4⋊C4×C59—21no—
385C2×C4⋊C4×C59—21no—
386C2×C4⋊C4×C59—21no—
387C2×C4⋊C4×C59—21no—
388C2×C4⋊C4×C59—21no—
389C2×C4⋊C4×C59C2311yescharacteristic
390C2×C4⋊C4×C59C2311yescharacteristic
391C2×C4⋊C4×C59C2311yescharacteristic
392C2×C4⋊C4×C59C2311yescharacteristic
393C2×C4⋊C4×C59C2311yescharacteristic
394C2×C22⋊C4×C59—21no—
395C2×C22⋊C4×C59—21no—
396C2×C22⋊C4×C59—21no—
397C2×C22⋊C4×C59—21no—
398C2×C42×C59—21no—
399C2×C42×C59C2311yescharacteristic
400#107×C59C2311yescharacteristic
401#107×C59C2311yescharacteristic
402#107×C59C2311yescharacteristic
403#107×C59C2311yescharacteristic
404#107×C59C2311yescharacteristic
405#107×C59C2311yescharacteristic
406#107×C59C2311yescharacteristic
407#107×C59C2311yescharacteristic
408#107×C59C2311yescharacteristic
409#107×C59C2311yescharacteristic
410#107×C59C2311yescharacteristic
411#107×C59C2311yescharacteristic
412#106×C59C2311yescharacteristic
413#106×C59C2311yescharacteristic
414#106×C59C2311yescharacteristic
415#106×C59C2311yescharacteristic
416#106×C59C2311yescharacteristic
417#106×C59C2311yescharacteristic
418#106×C59C2311yescharacteristic
419#106×C59C2311yescharacteristic
420#106×C59C2311yescharacteristic
421#106×C59C2311yescharacteristic
422#106×C59C2311yescharacteristic
423#106×C59C2311yescharacteristic
424C4⋊C8×C59C2311yescharacteristic
425C4⋊C8×C59C2311yescharacteristic
426C4⋊C8×C59C2311yescharacteristic
427C4⋊C8×C59C2311yescharacteristic
428C4⋊C8×C59C2311yescharacteristic
429C4⋊C8×C59C2311yescharacteristic
430C4⋊C8×C59C2311yescharacteristic
431C4⋊C8×C59C2311yescharacteristic
432C4⋊C8×C59C2311yescharacteristic
433C4⋊C8×C59C2311yescharacteristic
434#103×C59C2311yescharacteristic
435#103×C59C2311yescharacteristic
436#103×C59C2311yescharacteristic
437#103×C59C2311yescharacteristic
438#103×C59C2311yescharacteristic
439#103×C59C2311yescharacteristic
440#103×C59C2311yescharacteristic
441#103×C59C2311yescharacteristic
442#103×C59C2311yescharacteristic
443#103×C59C2311yescharacteristic
444#103×C59C2311yescharacteristic
445#103×C59C2311yescharacteristic
446#102×C59C2311yescharacteristic
447#102×C59C2311yescharacteristic
448#102×C59C2311yescharacteristic
449#102×C59C2311yescharacteristic
450#102×C59C2311yescharacteristic
451#102×C59C2311yescharacteristic
452#102×C59C2311yescharacteristic
453#102×C59C2311yescharacteristic
454#102×C59C2311yescharacteristic
455#102×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
466C22⋊C8×C59C2311yescharacteristic
467C22⋊C8×C59C2311yescharacteristic
468C22⋊C8×C59C2311yescharacteristic
469C22⋊C8×C59C2311yescharacteristic
470C22⋊C8×C59C2311yescharacteristic
471C22⋊C8×C59C2311yescharacteristic
472#97×C59C2311yescharacteristic
473#97×C59C2311yescharacteristic
474C4×C8×C59C2311yescharacteristic
475C4×C8×C59C2311yescharacteristic
476C4×C8×C59C2311yescharacteristic
477C4×C8×C59C2311yescharacteristic
478C24×C59—21no—
479#41×C59—22no—
480#41×C59—22no—
481#41×C59—41no—
482#41×C59—41no—
483#41×C59—82no—
484#41×C59—82no—
485#41×C59—82no—
486C2×Q8×C59—21no—
487C2×Q8×C59—21no—
488C2×Q8×C59—21no—
489C2×Q8×C59—21no—
490C2×Q8×C59C2×D411yescharacteristic
491C2×Q8×C59C2411yescharacteristic
492C2×Q8×C59C2411yescharacteristic
493C2×D4×C59—22no—
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59—41no—
508C2×D4×C59C2×D411yescharacteristic
509C2×D4×C59C2×D411yescharacteristic
510C2×D4×C59C2×D411yescharacteristic
511C2×D4×C59C2411yescharacteristic
512C2×D4×C59C2411yescharacteristic
513C2×D4×C59C2411yescharacteristic
514C2×D4×C59C2411yescharacteristic
515C22×C4×C59—21no—
516C22×C4×C59—21no—
517C22×C4×C59—21no—
518C22×C4×C59—21no—
519C22×C4×C59—21no—
520C22×C4×C59—21no—
521C22×C4×C59—21no—
522C22×C4×C59—21no—
523C22×C4×C59—21no—
524C22×C4×C59—21no—
525C22×C4×C59—21no—
526C22×C4×C59—21no—
527C22×C4×C59—21no—
528C22×C4×C59—21no—
529C22×C4×C59—21no—
530C22×C4×C59—21no—
531C22×C4×C59—21no—
532C22×C4×C59—21no—
533C22×C4×C59—21no—
534C22×C4×C59C2×D411yescharacteristic
535C22×C4×C59C2×D411yescharacteristic
536C22×C4×C59C2411yescharacteristic
537C22×C4×C59C2411yescharacteristic
538C22×C4×C59C2411yescharacteristic
539SD16×C59—41no—
540SD16×C59—41no—
541SD16×C59—41no—
542SD16×C59—41no—
543D8×C59—22no—
544D8×C59—22no—
545D8×C59—41no—
546D8×C59—41no—
547M16×C59—41no—
548M16×C59—41no—
549M16×C59—41no—
550M16×C59—41no—
551C2×C8×C59—41no—
552C2×C8×C59—41no—
553C2×C8×C59C2411yescharacteristic
554C2×C8×C59C2411yescharacteristic
555C2×C8×C59C2411yescharacteristic
556C2×C8×C59C2411yescharacteristic
557C2×C8×C59C2411yescharacteristic
558C2×C8×C59C2411yescharacteristic
559C2×C8×C59C2411yescharacteristic
560C2×C8×C59C2411yescharacteristic
561C4⋊C4×C59—21no—
562C4⋊C4×C59—21no—
563C4⋊C4×C59—21no—
564C4⋊C4×C59—21no—
565C4⋊C4×C59—21no—
566C4⋊C4×C59—21no—
567C4⋊C4×C59—21no—
568C4⋊C4×C59—21no—
569C4⋊C4×C59—21no—
570C4⋊C4×C59—21no—
571C4⋊C4×C59—21no—
572C4⋊C4×C59—21no—
573C4⋊C4×C59—21no—
574C4⋊C4×C59—21no—
575C4⋊C4×C59—21no—
576C4⋊C4×C59—21no—
577C4⋊C4×C59—21no—
578C4⋊C4×C59—21no—
579C4⋊C4×C59—21no—
580C4⋊C4×C59—21no—
581C4⋊C4×C59—21no—
582C4⋊C4×C59—21no—
583C4⋊C4×C59—21no—
584C4⋊C4×C59—21no—
585C4⋊C4×C59—21no—
586C4⋊C4×C59—21no—
587C4⋊C4×C59—21no—
588C4⋊C4×C59—21no—
589C4⋊C4×C59—21no—
590C4⋊C4×C59—21no—
591C4⋊C4×C59—21no—
592C4⋊C4×C59—21no—
593C4⋊C4×C59—21no—
594C4⋊C4×C59—21no—
595C4⋊C4×C59—21no—
596C4⋊C4×C59C2×D411yescharacteristic
597C4⋊C4×C59C2×D411yescharacteristic
598C4⋊C4×C59C2×D411yescharacteristic
599C4⋊C4×C59C2×D411yescharacteristic
600C4⋊C4×C59C2×D411yescharacteristic
601C4⋊C4×C59C2×D411yescharacteristic
602C4⋊C4×C59C2×D411yescharacteristic
603C4⋊C4×C59C2×D411yescharacteristic
604C4⋊C4×C59C2×D411yescharacteristic
605C4⋊C4×C59C2×D411yescharacteristic
606C4⋊C4×C59C2411yescharacteristic
607C4⋊C4×C59C2411yescharacteristic
608C4⋊C4×C59C2411yescharacteristic
609C4⋊C4×C59C2411yescharacteristic
610C4⋊C4×C59C2411yescharacteristic
611C4⋊C4×C59C2411yescharacteristic
612C4⋊C4×C59C2411yescharacteristic
613C4⋊C4×C59C2411yescharacteristic
614C4⋊C4×C59C2411yescharacteristic
615C4⋊C4×C59C2411yescharacteristic
616C22⋊C4×C59—21no—
617C22⋊C4×C59—21no—
618C22⋊C4×C59—21no—
619C22⋊C4×C59—21no—
620C22⋊C4×C59—21no—
621C22⋊C4×C59—21no—
622C22⋊C4×C59—21no—
623C22⋊C4×C59—21no—
624C22⋊C4×C59—21no—
625C22⋊C4×C59—21no—
626C22⋊C4×C59—21no—
627C22⋊C4×C59—21no—
628C22⋊C4×C59—21no—
629C22⋊C4×C59—21no—
630C22⋊C4×C59—21no—
631C22⋊C4×C59—21no—
632C22⋊C4×C59—21no—
633C22⋊C4×C59—21no—
634C22⋊C4×C59—21no—
635C22⋊C4×C59—21no—
636C22⋊C4×C59—21no—
637C22⋊C4×C59—21no—
638C22⋊C4×C59—21no—
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×C59C2×D411yescharacteristic
649C22⋊C4×C59C2×D411yescharacteristic
650C22⋊C4×C59C2×D411yescharacteristic
651C22⋊C4×C59C2×D411yescharacteristic
652C22⋊C4×C59C2×D411yescharacteristic
653C22⋊C4×C59C2×D411yescharacteristic
654C22⋊C4×C59C2×D411yescharacteristic
655C22⋊C4×C59C2×D411yescharacteristic
656C22⋊C4×C59C2×D411yescharacteristic
657C22⋊C4×C59C2×D411yescharacteristic
658C42×C59—21no—
659C42×C59—21no—
660C42×C59—21no—
661C42×C59—21no—
662C42×C59—21no—
663C42×C59—21no—
664C42×C59—21no—
665C42×C59—21no—
666C42×C59C2×D411yescharacteristic
667C42×C59C2×D411yescharacteristic
668C42×C59C2411yescharacteristic
669C42×C59C2411yescharacteristic
670C42×C59C2411yescharacteristic
671C42×C59C2411yescharacteristic
672C23×C59—21no—
673C23×C59—21no—
674C23×C59—21no—
675C23×C59—21no—
676C23×C59—42no—
677C23×C59—81no—
678C23×C59—81no—
679C23×C59C22×D411yescharacteristic
680C23×C59C22×D411yescharacteristic
681C23×C59C22×D411yescharacteristic
682Q8×C59—21no—
683Q8×C59—21no—
684Q8×C59—21no—
685Q8×C59—21no—
686Q8×C59—41no—
687Q8×C59—81no—
688Q8×C59—81no—
689Q8×C59—81no—
690Q8×C59—81no—
691D4×C59—21no—
692D4×C59—21no—
693D4×C59—21no—
694D4×C59—21no—
695D4×C59—21no—
696D4×C59—21no—
697D4×C59—21no—
698D4×C59—41no—
699D4×C59—41no—
700D4×C59—41no—
701D4×C59—42no—
702D4×C59—42no—
703D4×C59—42no—
704D4×C59—42no—
705D4×C59—42no—
706D4×C59—81no—
707D4×C59—81no—
708D4×C59—81no—
709D4×C59—81no—
710D4×C59—81no—
711D4×C59—81no—
712D4×C59—81no—
713D4×C59—81no—
714D4×C592−1+412yes—
715C2×C4×C59—21no—
716C2×C4×C59—21no—
717C2×C4×C59—21no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—21no—
728C2×C4×C59—21no—
729C2×C4×C59—21no—
730C2×C4×C59—21no—
731C2×C4×C59—21no—
732C2×C4×C59—21no—
733C2×C4×C59—41no—
734C2×C4×C59—41no—
735C2×C4×C59—42no—
736C2×C4×C59—42no—
737C2×C4×C59—42no—
738C2×C4×C59—81no—
739C2×C4×C59—81no—
740C2×C4×C59—81no—
741C2×C4×C59—81no—
742C2×C4×C59—81no—
743C2×C4×C59—81no—
744C2×C4×C59—81no—
745C2×C4×C59—81no—
746C2×C4×C59—81no—
747C2×C4×C59—81no—
748C2×C4×C59—81no—
749C2×C4×C59—81no—
750C2×C4×C59—81no—
751C2×C4×C59—81no—
752C2×C4×C59—81no—
753C2×C4×C59—81no—
754C2×C4×C59C22×D411yescharacteristic
755C2×C4×C59C22×D411yescharacteristic
756C2×C4×C59C22×D411yescharacteristic
757C2×C4×C59C22×D411yescharacteristic
758C2×C4×C59C22×D411yescharacteristic
759C2×C4×C59C22×D411yescharacteristic
760C2×C4×C59C22×D411yescharacteristic
761C2×C4×C59C22×D411yescharacteristic
762C2×C4×C59C22×D411yescharacteristic
763C2×C4×C59C22×D411yescharacteristic
764C2×C4×C59C22×D411yescharacteristic
765C2×C4×C59C2511yescharacteristic
766C8×C59—21no—
767C8×C59—21no—
768C8×C59—21no—
769C8×C59—21no—
770C8×C59—21no—
771C8×C59—21no—
772C8×C59—21no—
773C8×C59—21no—
774#62195C5911yesmaximal, characteristic, direct product factor, Sylow
775C22×C59—21no—
776C22×C59—21no—
777C22×C59—21no—
778C22×C59—21no—
779C22×C59—21no—
780C22×C59—21no—
781C22×C59—21no—
782C22×C59—21no—
783C22×C59—21no—
784C22×C59—22no—
785C22×C59—41no—
786C22×C59—41no—
787C22×C59—41no—
788C22×C59—41no—
789C22×C59—41no—
790C22×C59—41no—
791C22×C59—41no—
792C22×C59—41no—
793C22×C59—41no—
794C22×C59—41no—
795C22×C59—41no—
796C22×C59—162no—
797C22×C59C23×D411yescharacteristic
798C4×C59—21no—
799C4×C59—21no—
800C4×C59—21no—
801C4×C59—21no—
802C4×C59—21no—
803C4×C59—21no—
804C4×C59—21no—
805C4×C59—21no—
806C4×C59—21no—
807C4×C59—21no—
808C4×C59—21no—
809C4×C59—41no—
810C4×C59—41no—
811C4×C59—41no—
812C4×C59—41no—
813C4×C59—41no—
814C4×C59—41no—
815C4×C59—41no—
816C4×C59—41no—
817C4×C59—41no—
818C4×C59—41no—
819C4×C59—41no—
820C4×C59—41no—
821C4×C59C2×2−1+411yescharacteristic
822C4×C59#58511yescharacteristic
823#3559C2×C5911yescharacteristic, complemented
824#3521C2×C5911yescharacteristic, complemented
825#3389C2×C5911yescharacteristic, complemented
826#3380C2×C5911yescharacteristic, complemented
827#3376C2×C5911yescharacteristic, complemented
828#3360C2×C5911yescharacteristic, complemented
829#3355C2×C5911yescharacteristic, complemented
830#3353C2×C5911yescharacteristic, complemented
831#3351C2×C5911yescharacteristic, complemented
832#3350C2×C5911yescharacteristic, complemented
833#3345C2×C5911yescharacteristic, complemented
834#3337C2×C5911yescharacteristic, complemented
835#3330C2×C5911yescharacteristic, complemented
836#3322C2×C5911yescharacteristic, complemented
837#3322C2×C5911yescharacteristic, complemented
838#3307C2×C5911yescharacteristic, complemented
839#3306C2×C5911yescharacteristic, complemented
840#3297C2×C5911yescharacteristic, complemented
841#3260C2×C5911yescharacteristic, complemented
842#3257C2×C5911yescharacteristic, complemented
843#3251C2×C5911yescharacteristic, complemented
844#3243C2×C5911yescharacteristic, complemented
845#3242C2×C5911yescharacteristic, complemented
846#3232C2×C5911yescharacteristic, complemented
847#3122C2×C5911yescharacteristic, complemented
848#3119C2×C5911yescharacteristic, complemented
849#3106C2×C5911yescharacteristic, complemented
850#3084C2×C5911yescharacteristic, complemented
851#3081C2×C5911yescharacteristic, complemented
852#3080C2×C5911yescharacteristic, complemented
853#2993C2×C5911yescharacteristic, complemented
854C2×C59—41no—
855C2×C59—41no—
856C2×C59—41no—
857C2×C59—42no—
858C2×C59—81no—
859C2×C59—81no—
860C2×C59—81no—
861C2×C59#348911yescharacteristic
862C2×C59#358411yescharacteristic
863C2×C59#358511yescharacteristic
864#563—21no—
865#562—21no—
866#556C22×C5911yescharacteristic
867#556C22×C5911yescharacteristic
868#554C22×C5911yescharacteristic
869#554C22×C5911yescharacteristic, complemented
870#554C22×C5911yescharacteristic, complemented
871#553—21no—
872#553C22×C5911yescharacteristic
873#553C22×C5911yescharacteristic
874#553C22×C5911yescharacteristic
875#553C22×C5911yescharacteristic
876#553C22×C5911yescharacteristic, complemented
877#552—21no—
878#552C22×C5911yescharacteristic
879#551—21no—
880#551—21no—
881#547—21no—
882#547—21no—
883#547C22×C5911yescharacteristic
884#547C22×C5911yescharacteristic
885#547C22×C5911yescharacteristic, complemented
886#546C22×C5911yescharacteristic
887#546C22×C5911yescharacteristic
888#544C22×C5911yescharacteristic
889#544C22×C5911yescharacteristic, complemented
890#542C22×C5911yescharacteristic
891#541C22×C5911yescharacteristic
892#540C22×C5911yescharacteristic
893#540C22×C5911yescharacteristic, complemented
894#539—21no—
895#539—21no—
896#539—21no—
897#539—21no—
898#538—21no—
899#537—21no—
900#532C22×C5911yescharacteristic, complemented
901#529—21no—
902#529C22×C5911yescharacteristic
903#529C22×C5911yescharacteristic
904C2×#126—21no—
905C2×#125C22×C5911yescharacteristic, complemented
906#520C22×C5911yescharacteristic
907#518C22×C5911yescharacteristic
908C4×#41C22×C5911yescharacteristic
909#501C22×C5911yescharacteristic, complemented
910#501C22×C5911yescharacteristic, complemented
911#500C22×C5911yescharacteristic, complemented
912#499C22×C5911yescharacteristic, complemented
913#499C22×C5911yescharacteristic, complemented
914#499C22×C5911yescharacteristic, complemented
915#491C22×C5911yescharacteristic, complemented
916#489C22×C5911yescharacteristic
917#488C22×C5911yescharacteristic
918#488C22×C5911yescharacteristic
919#488C22×C5911yescharacteristic
920#487C22×C5911yescharacteristic, complemented
921#485C22×C5911yescharacteristic
922#485C22×C5911yescharacteristic
923#485C22×C5911yescharacteristic, complemented
924#484C22×C5911yescharacteristic
925#484C22×C5911yescharacteristic, complemented
926#484C22×C5911yescharacteristic, complemented
927#483C22×C5911yescharacteristic
928#483C22×C5911yescharacteristic, complemented
929#482C22×C5911yescharacteristic
930#482C22×C5911yescharacteristic
931#482C22×C5911yescharacteristic
932#482C22×C5911yescharacteristic, complemented
933#482C22×C5911yescharacteristic, complemented
934#481C22×C5911yescharacteristic
935#481C22×C5911yescharacteristic, complemented
936#480C22×C5911yescharacteristic
937#480C22×C5911yescharacteristic
938#480C22×C5911yescharacteristic, complemented
939#479C22×C5911yescharacteristic, complemented
940#479C22×C5911yescharacteristic, complemented
941#479C22×C5911yescharacteristic, complemented
942#479C22×C5911yescharacteristic, complemented
943#479C22×C5911yescharacteristic, complemented
944#479C22×C5911yescharacteristic, complemented
945#479C22×C5911yescharacteristic, complemented
946#478C22×C5911yescharacteristic
947#478C22×C5911yescharacteristic
948#478C22×C5911yescharacteristic
949#478C22×C5911yescharacteristic
950#478C22×C5911yescharacteristic
951#478C22×C5911yescharacteristic
952#478C22×C5911yescharacteristic
953#478C22×C5911yescharacteristic
954#478C22×C5911yescharacteristic
955#478C22×C5911yescharacteristic, complemented
956#478C22×C5911yescharacteristic, complemented
957#478C22×C5911yescharacteristic, complemented
958#478C22×C5911yescharacteristic, complemented
959#477C22×C5911yescharacteristic, complemented
960#476C22×C5911yescharacteristic
961#476C22×C5911yescharacteristic
962#476C22×C5911yescharacteristic
963#476C22×C5911yescharacteristic, complemented
964#475C22×C5911yescharacteristic, complemented
965#475C22×C5911yescharacteristic, complemented
966#474C22×C5911yescharacteristic
967#474C22×C5911yescharacteristic
968#474C22×C5911yescharacteristic, complemented
969#469C22×C5911yescharacteristic
970#469C22×C5911yescharacteristic
971#469C22×C5911yescharacteristic
972#468C22×C5911yescharacteristic
973#468C22×C5911yescharacteristic
974#468C22×C5911yescharacteristic, complemented
975#468C22×C5911yescharacteristic, complemented
976#468C22×C5911yescharacteristic, complemented
977#466C22×C5911yescharacteristic
978#465C22×C5911yescharacteristic
979#465C22×C5911yescharacteristic
980#465C22×C5911yescharacteristic, complemented
981#463C22×C5911yescharacteristic
982#463C22×C5911yescharacteristic
983#463C22×C5911yescharacteristic
984#463C22×C5911yescharacteristic
985#461C22×C5911yescharacteristic, complemented
986#461C22×C5911yescharacteristic, complemented
987#460C22×C5911yescharacteristic, complemented
988#460C22×C5911yescharacteristic, complemented
989#459C22×C5911yescharacteristic
990#459C22×C5911yescharacteristic
991#449C22×C5911yescharacteristic
992#449C22×C5911yescharacteristic
993#449C22×C5911yescharacteristic
994#449C22×C5911yescharacteristic
995#447C22×C5911yescharacteristic
996#447C22×C5911yescharacteristic
997#446C22×C5911yescharacteristic, complemented
998C8×Q8C22×C5911yescharacteristic, complemented
999#442C22×C5911yescharacteristic
1000#442C22×C5911yescharacteristic
1001#442C22×C5911yescharacteristic
1002#440C22×C5911yescharacteristic, complemented
1003C4×SD16C22×C5911yescharacteristic, complemented
1004C4×SD16C22×C5911yescharacteristic, complemented
1005C4×SD16C22×C5911yescharacteristic, complemented
1006C4×D8C22×C5911yescharacteristic
1007C4×D8C22×C5911yescharacteristic
1008C4×D8C22×C5911yescharacteristic
1009C4×D8C22×C5911yescharacteristic
1010C4×D8C22×C5911yescharacteristic
1011#436C22×C5911yescharacteristic
1012#436C22×C5911yescharacteristic
1013#436C22×C5911yescharacteristic, complemented
1014#435C22×C5911yescharacteristic
1015#435C22×C5911yescharacteristic, complemented
1016C8×D4C22×C5911yescharacteristic
1017#433C22×C5911yescharacteristic
1018#433C22×C5911yescharacteristic, complemented
1019#431C22×C5911yescharacteristic, complemented
1020#428C22×C5911yescharacteristic
1021#428C22×C5911yescharacteristic, complemented
1022#428C22×C5911yescharacteristic, complemented
1023#428C22×C5911yescharacteristic, complemented
1024#427C22×C5911yescharacteristic
1025C2×#106C22×C5911yescharacteristic, complemented
1026#424C22×C5911yescharacteristic
1027#424C22×C5911yescharacteristic, complemented
1028#423C22×C5911yescharacteristic, complemented
1029#418C22×C5911yescharacteristic
1030#417C22×C5911yescharacteristic
1031#417C22×C5911yescharacteristic
1032#417C22×C5911yescharacteristic
1033#416C22×C5911yescharacteristic
1034C2×#102C22×C5911yescharacteristic
1035C59#6219511yescharacteristic, direct product factor, Sylow
1036C2×#41—21no—
1037C2×#41—21no—
1038C2×#41—21no—
1039C2×#41C23×C5911yescharacteristic
1040C2×#41C23×C5911yescharacteristic
1041C22×D4C23×C5911yescharacteristic
1042C2×SD16C23×C5911yescharacteristic
1043C2×SD16C23×C5911yescharacteristic
1044C2×SD16C23×C5911yescharacteristic
1045C2×SD16C23×C5911yescharacteristic
1046C2×D8C23×C5911yescharacteristic
1047C2×D8C23×C5911yescharacteristic
1048C2×D8C23×C5911yescharacteristic
1049C2×D8C23×C5911yescharacteristic
1050C2×M16C23×C5911yescharacteristic
1051C2×M16C23×C5911yescharacteristic
1052C2×M16C23×C5911yescharacteristic
1053C2×M16C23×C5911yescharacteristic
1054C22×C8C23×C5911yescharacteristic
1055C22×C8C23×C5911yescharacteristic
1056C4⋊Q8—21no—
1057C4⋊Q8—21no—
1058C4⋊Q8C23×C5911yescharacteristic
1059C4⋊Q8C23×C5911yescharacteristic
1060C4⋊Q8C23×C5911yescharacteristic
1061C4⋊Q8C23×C5911yescharacteristic
1062C4⋊Q8C23×C5911yescharacteristic
1063#127C23×C5911yescharacteristic
1064#126—21no—
1065#126—21no—
1066#126—21no—
1067#126—21no—
1068#126—21no—
1069#126—21no—
1070#126—21no—
1071#126—21no—
1072#126—21no—
1073#126—21no—
1074#126—21no—
1075#126—21no—
1076#126—21no—
1077#126—21no—
1078#126D4×C5911yescharacteristic
1079#126D4×C5911yescharacteristic
1080#125—21no—
1081#125—21no—
1082#125—21no—
1083#125—21no—
1084#125—21no—
1085#125—21no—
1086#125—21no—
1087#125D4×C5911yescharacteristic
1088#125C23×C5911yescharacteristic
1089#125C23×C5911yescharacteristic
1090#125C23×C5911yescharacteristic
1091#125C23×C5911yescharacteristic
1092#125C23×C5911yescharacteristic
1093#125C23×C5911yescharacteristic
1094#125C23×C5911yescharacteristic
1095#125C23×C5911yescharacteristic
1096#124—21no—
1097#124—21no—
1098#124—21no—
1099#124D4×C5911yescharacteristic
1100#124C23×C5911yescharacteristic
1101#124C23×C5911yescharacteristic
1102#123—21no—
1103#123—21no—
1104#123—21no—
1105#123—21no—
1106#123—21no—
1107#123—21no—
1108#123—21no—
1109#123—21no—
1110#123—21no—
1111#123—21no—
1112#123—21no—
1113#123—21no—
1114#123—21no—
1115#123—21no—
1116#123—21no—
1117#123—21no—
1118#123—21no—
1119#123—21no—
1120#123—21no—
1121#123—21no—
1122#123D4×C5911yescharacteristic
1123#123D4×C5911yescharacteristic
1124C22⋊Q8—21no—
1125C22⋊Q8—21no—
1126C22⋊Q8—21no—
1127C22⋊Q8—21no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—21no—
1131C22⋊Q8—21no—
1132C22⋊Q8—21no—
1133C22⋊Q8—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8—21no—
1141C22⋊Q8D4×C5911yescharacteristic
1142C22⋊Q8C23×C5911yescharacteristic
1143C22⋊Q8C23×C5911yescharacteristic
1144C22⋊Q8C23×C5911yescharacteristic
1145C22⋊Q8C23×C5911yescharacteristic
1146#121—21no—
1147#121—21no—
1148#121—21no—
1149#121—21no—
1150#121—21no—
1151#121—21no—
1152#121—21no—
1153#121—21no—
1154#121—21no—
1155#121—21no—
1156#121—21no—
1157#121—21no—
1158#121—21no—
1159#121D4×C5911yescharacteristic
1160#121C23×C5911yescharacteristic
1161#121C23×C5911yescharacteristic
1162#121C23×C5911yescharacteristic
1163#121C23×C5911yescharacteristic
1164#121C23×C5911yescharacteristic
1165#121C23×C5911yescharacteristic
1166#121C23×C5911yescharacteristic
1167#121C23×C5911yescharacteristic
1168#120—21no—
1169#120—21no—
1170C4×Q8—21no—
1171C4×Q8C23×C5911yescharacteristic
1172C4×Q8C23×C5911yescharacteristic
1173C4×Q8C23×C5911yescharacteristic
1174C4×Q8C23×C5911yescharacteristic
1175C4×Q8C23×C5911yescharacteristic
1176C4×D4—21no—
1177C4×D4—21no—
1178C4×D4—21no—
1179C4×D4—21no—
1180C4×D4—21no—
1181C4×D4—21no—
1182C4×D4—21no—
1183C4×D4—21no—
1184C4×D4—21no—
1185C4×D4—21no—
1186C4×D4—21no—
1187C4×D4—21no—
1188C4×D4—21no—
1189C4×D4C23×C5911yescharacteristic
1190C4×D4C23×C5911yescharacteristic
1191C4×D4C23×C5911yescharacteristic
1192C4×D4C23×C5911yescharacteristic
1193C4×D4C23×C5911yescharacteristic
1194C4×D4C23×C5911yescharacteristic
1195C4×D4C23×C5911yescharacteristic
1196C4×D4C23×C5911yescharacteristic
1197C4×D4C23×C5911yescharacteristic
1198C4×D4C23×C5911yescharacteristic
1199C4×D4C23×C5911yescharacteristic
1200C4×D4C23×C5911yescharacteristic
1201C4×D4C23×C5911yescharacteristic
1202C4×D4C23×C5911yescharacteristic
1203C4×D4C23×C5911yescharacteristic
1204#117—21no—
1205#117—21no—
1206#117—21no—
1207#117—21no—
1208#117—21no—
1209#117C23×C5911yescharacteristic
1210#117C23×C5911yescharacteristic
1211#117C23×C5911yescharacteristic
1212#117C23×C5911yescharacteristic
1213#117C23×C5911yescharacteristic
1214#117C23×C5911yescharacteristic
1215C2×C4⋊C4—21no—
1216C2×C4⋊C4—21no—
1217C2×C4⋊C4—21no—
1218C2×C4⋊C4—21no—
1219C2×C4⋊C4—21no—
1220C2×C4⋊C4—21no—
1221C2×C4⋊C4—21no—
1222C2×C4⋊C4C23×C5911yescharacteristic
1223C2×C4⋊C4C23×C5911yescharacteristic
1224C2×C4⋊C4C23×C5911yescharacteristic
1225C2×C4⋊C4C23×C5911yescharacteristic
1226C2×C4⋊C4C23×C5911yescharacteristic
1227C2×C22⋊C4—21no—
1228C2×C22⋊C4—21no—
1229C2×C22⋊C4—21no—
1230C2×C22⋊C4—21no—
1231C2×C42—21no—
1232C2×C42C23×C5911yescharacteristic
1233#107C23×C5911yescharacteristic
1234#107C23×C5911yescharacteristic
1235#107C23×C5911yescharacteristic
1236#107C23×C5911yescharacteristic
1237#107C23×C5911yescharacteristic
1238#107C23×C5911yescharacteristic
1239#107C23×C5911yescharacteristic
1240#107C23×C5911yescharacteristic
1241#107C23×C5911yescharacteristic
1242#107C23×C5911yescharacteristic
1243#107C23×C5911yescharacteristic
1244#107C23×C5911yescharacteristic
1245#106C23×C5911yescharacteristic
1246#106C23×C5911yescharacteristic
1247#106C23×C5911yescharacteristic
1248#106C23×C5911yescharacteristic
1249#106C23×C5911yescharacteristic
1250#106C23×C5911yescharacteristic
1251#106C23×C5911yescharacteristic
1252#106C23×C5911yescharacteristic
1253#106C23×C5911yescharacteristic
1254#106C23×C5911yescharacteristic
1255#106C23×C5911yescharacteristic
1256#106C23×C5911yescharacteristic
1257C4⋊C8C23×C5911yescharacteristic
1258C4⋊C8C23×C5911yescharacteristic
1259C4⋊C8C23×C5911yescharacteristic
1260C4⋊C8C23×C5911yescharacteristic
1261C4⋊C8C23×C5911yescharacteristic
1262C4⋊C8C23×C5911yescharacteristic
1263C4⋊C8C23×C5911yescharacteristic
1264C4⋊C8C23×C5911yescharacteristic
1265C4⋊C8C23×C5911yescharacteristic
1266C4⋊C8C23×C5911yescharacteristic
1267#103C23×C5911yescharacteristic
1268#103C23×C5911yescharacteristic
1269#103C23×C5911yescharacteristic
1270#103C23×C5911yescharacteristic
1271#103C23×C5911yescharacteristic
1272#103C23×C5911yescharacteristic
1273#103C23×C5911yescharacteristic
1274#103C23×C5911yescharacteristic
1275#103C23×C5911yescharacteristic
1276#103C23×C5911yescharacteristic
1277#103C23×C5911yescharacteristic
1278#103C23×C5911yescharacteristic
1279#102C23×C5911yescharacteristic
1280#102C23×C5911yescharacteristic
1281#102C23×C5911yescharacteristic
1282#102C23×C5911yescharacteristic
1283#102C23×C5911yescharacteristic
1284#102C23×C5911yescharacteristic
1285#102C23×C5911yescharacteristic
1286#102C23×C5911yescharacteristic
1287#102C23×C5911yescharacteristic
1288#102C23×C5911yescharacteristic
1289#102C23×C5911yescharacteristic
1290#102C23×C5911yescharacteristic
1291#102C23×C5911yescharacteristic
1292#102C23×C5911yescharacteristic
1293#102C23×C5911yescharacteristic
1294#102C23×C5911yescharacteristic
1295#102C23×C5911yescharacteristic
1296#102C23×C5911yescharacteristic
1297#102C23×C5911yescharacteristic
1298#102C23×C5911yescharacteristic
1299C22⋊C8C23×C5911yescharacteristic
1300C22⋊C8C23×C5911yescharacteristic
1301C22⋊C8C23×C5911yescharacteristic
1302C22⋊C8C23×C5911yescharacteristic
1303C22⋊C8C23×C5911yescharacteristic
1304C22⋊C8C23×C5911yescharacteristic
1305#97C23×C5911yescharacteristic
1306#97C23×C5911yescharacteristic
1307C4×C8C23×C5911yescharacteristic
1308C4×C8C23×C5911yescharacteristic
1309C4×C8C23×C5911yescharacteristic
1310C4×C8C23×C5911yescharacteristic
1311C24—21no—
1312#41—22no—
1313#41—22no—
1314#41—41no—
1315#41—41no—
1316#41—82no—
1317#41—82no—
1318#41—82no—
1319C2×Q8—21no—
1320C2×Q8—21no—
1321C2×Q8—21no—
1322C2×Q8—21no—
1323C2×Q8C2×D4×C5911yescharacteristic
1324C2×Q8C24×C5911yescharacteristic
1325C2×Q8C24×C5911yescharacteristic
1326C2×D4—22no—
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—21no—
1330C2×D4—21no—
1331C2×D4—21no—
1332C2×D4—21no—
1333C2×D4—21no—
1334C2×D4—21no—
1335C2×D4—21no—
1336C2×D4—21no—
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—41no—
1341C2×D4C2×D4×C5911yescharacteristic
1342C2×D4C2×D4×C5911yescharacteristic
1343C2×D4C2×D4×C5911yescharacteristic
1344C2×D4C24×C5911yescharacteristic
1345C2×D4C24×C5911yescharacteristic
1346C2×D4C24×C5911yescharacteristic
1347C2×D4C24×C5911yescharacteristic
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—21no—
1367C22×C4C2×D4×C5911yescharacteristic
1368C22×C4C2×D4×C5911yescharacteristic
1369C22×C4C24×C5911yescharacteristic
1370C22×C4C24×C5911yescharacteristic
1371C22×C4C24×C5911yescharacteristic
1372SD16—41no—
1373SD16—41no—
1374SD16—41no—
1375SD16—41no—
1376D8—22no—
1377D8—22no—
1378D8—41no—
1379D8—41no—
1380M16—41no—
1381M16—41no—
1382M16—41no—
1383M16—41no—
1384C2×C8—41no—
1385C2×C8—41no—
1386C2×C8C24×C5911yescharacteristic
1387C2×C8C24×C5911yescharacteristic
1388C2×C8C24×C5911yescharacteristic
1389C2×C8C24×C5911yescharacteristic
1390C2×C8C24×C5911yescharacteristic
1391C2×C8C24×C5911yescharacteristic
1392C2×C8C24×C5911yescharacteristic
1393C2×C8C24×C5911yescharacteristic
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4C2×D4×C5911yescharacteristic
1430C4⋊C4C2×D4×C5911yescharacteristic
1431C4⋊C4C2×D4×C5911yescharacteristic
1432C4⋊C4C2×D4×C5911yescharacteristic
1433C4⋊C4C2×D4×C5911yescharacteristic
1434C4⋊C4C2×D4×C5911yescharacteristic
1435C4⋊C4C2×D4×C5911yescharacteristic
1436C4⋊C4C2×D4×C5911yescharacteristic
1437C4⋊C4C2×D4×C5911yescharacteristic
1438C4⋊C4C2×D4×C5911yescharacteristic
1439C4⋊C4C24×C5911yescharacteristic
1440C4⋊C4C24×C5911yescharacteristic
1441C4⋊C4C24×C5911yescharacteristic
1442C4⋊C4C24×C5911yescharacteristic
1443C4⋊C4C24×C5911yescharacteristic
1444C4⋊C4C24×C5911yescharacteristic
1445C4⋊C4C24×C5911yescharacteristic
1446C4⋊C4C24×C5911yescharacteristic
1447C4⋊C4C24×C5911yescharacteristic
1448C4⋊C4C24×C5911yescharacteristic
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4C2×D4×C5911yescharacteristic
1482C22⋊C4C2×D4×C5911yescharacteristic
1483C22⋊C4C2×D4×C5911yescharacteristic
1484C22⋊C4C2×D4×C5911yescharacteristic
1485C22⋊C4C2×D4×C5911yescharacteristic
1486C22⋊C4C2×D4×C5911yescharacteristic
1487C22⋊C4C2×D4×C5911yescharacteristic
1488C22⋊C4C2×D4×C5911yescharacteristic
1489C22⋊C4C2×D4×C5911yescharacteristic
1490C22⋊C4C2×D4×C5911yescharacteristic
1491C42—21no—
1492C42—21no—
1493C42—21no—
1494C42—21no—
1495C42—21no—
1496C42—21no—
1497C42—21no—
1498C42—21no—
1499C42C2×D4×C5911yescharacteristic
1500C42C2×D4×C5911yescharacteristic
1501C42C24×C5911yescharacteristic
1502C42C24×C5911yescharacteristic
1503C42C24×C5911yescharacteristic
1504C42C24×C5911yescharacteristic
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—42no—
1510C23—81no—
1511C23—81no—
1512C23C22×D4×C5911yescharacteristic
1513C23C22×D4×C5911yescharacteristic
1514C23C22×D4×C5911yescharacteristic
1515Q8—21no—
1516Q8—21no—
1517Q8—21no—
1518Q8—21no—
1519Q8—41no—
1520Q8—81no—
1521Q8—81no—
1522Q8—81no—
1523Q8—81no—
1524D4—21no—
1525D4—21no—
1526D4—21no—
1527D4—21no—
1528D4—21no—
1529D4—21no—
1530D4—21no—
1531D4—41no—
1532D4—41no—
1533D4—41no—
1534D4—42no—
1535D4—42no—
1536D4—42no—
1537D4—42no—
1538D4—42no—
1539D4—81no—
1540D4—81no—
1541D4—81no—
1542D4—81no—
1543D4—81no—
1544D4—81no—
1545D4—81no—
1546D4—81no—
1547D42−1+4×C5912yes—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—41no—
1567C2×C4—41no—
1568C2×C4—42no—
1569C2×C4—42no—
1570C2×C4—42no—
1571C2×C4—81no—
1572C2×C4—81no—
1573C2×C4—81no—
1574C2×C4—81no—
1575C2×C4—81no—
1576C2×C4—81no—
1577C2×C4—81no—
1578C2×C4—81no—
1579C2×C4—81no—
1580C2×C4—81no—
1581C2×C4—81no—
1582C2×C4—81no—
1583C2×C4—81no—
1584C2×C4—81no—
1585C2×C4—81no—
1586C2×C4—81no—
1587C2×C4C22×D4×C5911yescharacteristic
1588C2×C4C22×D4×C5911yescharacteristic
1589C2×C4C22×D4×C5911yescharacteristic
1590C2×C4C22×D4×C5911yescharacteristic
1591C2×C4C22×D4×C5911yescharacteristic
1592C2×C4C22×D4×C5911yescharacteristic
1593C2×C4C22×D4×C5911yescharacteristic
1594C2×C4C22×D4×C5911yescharacteristic
1595C2×C4C22×D4×C5911yescharacteristic
1596C2×C4C22×D4×C5911yescharacteristic
1597C2×C4C22×D4×C5911yescharacteristic
1598C2×C4C25×C5911yescharacteristic
1599C8—21no—
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—21no—
1606C8—21no—
1607C22—21no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—21no—
1616C22—22no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—162no—
1629C22C23×D4×C5911yescharacteristic
1630C4—21no—
1631C4—21no—
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—21no—
1638C4—21no—
1639C4—21no—
1640C4—21no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4C2×2−1+4×C5911yescharacteristic
1654C4C59×#58511yescharacteristic
1655C2—41no—
1656C2—41no—
1657C2—41no—
1658C2—42no—
1659C2—81no—
1660C2—81no—
1661C2—81no—
1662C2C59×#348911yescharacteristic
1663C2C59×#358411yescharacteristic
1664C2C59×#358511yescharacteristic
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×#3559C2semidirect
2. C59×#3521C2semidirect
3. C59×#3389C2semidirect
4. C59×#3380C2semidirect
5. C59×#3376C2semidirect
6. C59×#3360C2semidirect
7. C59×#3355C2semidirect
8. C59×#3353C2semidirect
9. C59×#3351C2semidirect
10. C59×#3350C2semidirect
11. C59×#3345C2semidirect
12. C59×#3337C2semidirect
13. C59×#3330C2semidirect
14. C59×#3322C2semidirect
15. C59×#3322C2semidirect
16. C59×#3307C2semidirect
17. C59×#3306C2semidirect
18. C59×#3297C2semidirect
19. C59×#3260C2semidirect
20. C59×#3257C2semidirect
21. C59×#3251C2semidirect
22. C59×#3243C2semidirect
23. C59×#3242C2semidirect
24. C59×#3232C2semidirect
25. C59×#3122C2semidirect
26. C59×#3119C2semidirect
27. C59×#3106C2semidirect
28. C59×#3084C2semidirect
29. C59×#3081C2semidirect
30. C59×#3080C2semidirect
31. C59×#2993C2semidirect
37. C59×#554C22semidirect
38. C59×#554C22semidirect
44. C59×#553C22semidirect
53. C59×#547C22semidirect
57. C59×#544C22semidirect
61. C59×#540C22semidirect
68. C59×#532C22semidirect
73. C2×#125×C59C22semidirect
77. C59×#501C22semidirect
78. C59×#501C22semidirect
79. C59×#500C22semidirect
80. C59×#499C22semidirect
81. C59×#499C22semidirect
82. C59×#499C22semidirect
83. C59×#491C22semidirect
88. C59×#487C22semidirect
91. C59×#485C22semidirect
93. C59×#484C22semidirect
94. C59×#484C22semidirect
96. C59×#483C22semidirect
100. C59×#482C22semidirect
101. C59×#482C22semidirect
103. C59×#481C22semidirect
106. C59×#480C22semidirect
107. C59×#479C22semidirect
108. C59×#479C22semidirect
109. C59×#479C22semidirect
110. C59×#479C22semidirect
111. C59×#479C22semidirect
112. C59×#479C22semidirect
113. C59×#479C22semidirect
123. C59×#478C22semidirect
124. C59×#478C22semidirect
125. C59×#478C22semidirect
126. C59×#478C22semidirect
127. C59×#477C22semidirect
131. C59×#476C22semidirect
132. C59×#475C22semidirect
133. C59×#475C22semidirect
136. C59×#474C22semidirect
142. C59×#468C22semidirect
143. C59×#468C22semidirect
144. C59×#468C22semidirect
148. C59×#465C22semidirect
153. C59×#461C22semidirect
154. C59×#461C22semidirect
155. C59×#460C22semidirect
156. C59×#460C22semidirect
165. C59×#446C22semidirect
166. C8×Q8×C59C22semidirect
170. C59×#440C22semidirect
171. C4×SD16×C59C22semidirect
172. C4×SD16×C59C22semidirect
173. C4×SD16×C59C22semidirect
181. C59×#436C22semidirect
183. C59×#435C22semidirect
186. C59×#433C22semidirect
187. C59×#431C22semidirect
189. C59×#428C22semidirect
190. C59×#428C22semidirect
191. C59×#428C22semidirect
193. C2×#106×C59C22semidirect
195. C59×#424C22semidirect
196. C59×#423C22semidirect
774. #62195C59direct (N × H)
823. #3559C2×C59semidirect
824. #3521C2×C59semidirect
825. #3389C2×C59semidirect
826. #3380C2×C59semidirect
827. #3376C2×C59semidirect
828. #3360C2×C59semidirect
829. #3355C2×C59semidirect
830. #3353C2×C59semidirect
831. #3351C2×C59semidirect
832. #3350C2×C59semidirect
833. #3345C2×C59semidirect
834. #3337C2×C59semidirect
835. #3330C2×C59semidirect
836. #3322C2×C59semidirect
837. #3322C2×C59semidirect
838. #3307C2×C59semidirect
839. #3306C2×C59semidirect
840. #3297C2×C59semidirect
841. #3260C2×C59semidirect
842. #3257C2×C59semidirect
843. #3251C2×C59semidirect
844. #3243C2×C59semidirect
845. #3242C2×C59semidirect
846. #3232C2×C59semidirect
847. #3122C2×C59semidirect
848. #3119C2×C59semidirect
849. #3106C2×C59semidirect
850. #3084C2×C59semidirect
851. #3081C2×C59semidirect
852. #3080C2×C59semidirect
853. #2993C2×C59semidirect
869. #554C22×C59semidirect
870. #554C22×C59semidirect
876. #553C22×C59semidirect
885. #547C22×C59semidirect
889. #544C22×C59semidirect
893. #540C22×C59semidirect
900. #532C22×C59semidirect
905. C2×#125C22×C59semidirect
909. #501C22×C59semidirect
910. #501C22×C59semidirect
911. #500C22×C59semidirect
912. #499C22×C59semidirect
913. #499C22×C59semidirect
914. #499C22×C59semidirect
915. #491C22×C59semidirect
920. #487C22×C59semidirect
923. #485C22×C59semidirect
925. #484C22×C59semidirect
926. #484C22×C59semidirect
928. #483C22×C59semidirect
932. #482C22×C59semidirect
933. #482C22×C59semidirect
935. #481C22×C59semidirect
938. #480C22×C59semidirect
939. #479C22×C59semidirect
940. #479C22×C59semidirect
941. #479C22×C59semidirect
942. #479C22×C59semidirect
943. #479C22×C59semidirect
944. #479C22×C59semidirect
945. #479C22×C59semidirect
955. #478C22×C59semidirect
956. #478C22×C59semidirect
957. #478C22×C59semidirect
958. #478C22×C59semidirect
959. #477C22×C59semidirect
963. #476C22×C59semidirect
964. #475C22×C59semidirect
965. #475C22×C59semidirect
968. #474C22×C59semidirect
974. #468C22×C59semidirect
975. #468C22×C59semidirect
976. #468C22×C59semidirect
980. #465C22×C59semidirect
985. #461C22×C59semidirect
986. #461C22×C59semidirect
987. #460C22×C59semidirect
988. #460C22×C59semidirect
997. #446C22×C59semidirect
998. C8×Q8C22×C59semidirect
1002. #440C22×C59semidirect
1003. C4×SD16C22×C59semidirect
1004. C4×SD16C22×C59semidirect
1005. C4×SD16C22×C59semidirect
1013. #436C22×C59semidirect
1015. #435C22×C59semidirect
1018. #433C22×C59semidirect
1019. #431C22×C59semidirect
1021. #428C22×C59semidirect
1022. #428C22×C59semidirect
1023. #428C22×C59semidirect
1025. C2×#106C22×C59semidirect
1027. #424C22×C59semidirect
1028. #423C22×C59semidirect
1035. C59#62195direct (N × H)

Maximal subgroups

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

subgroupindex
C59×#35592
C59×#35212
C59×#33892
C59×#33802
C59×#33762
C59×#33602
C59×#33552
C59×#33532
C59×#33512
C59×#33502
C59×#33452
C59×#33372
C59×#33302
C59×#33222
C59×#33072
C59×#33062
C59×#32972
C59×#32602
C59×#32572
C59×#32512
C59×#32432
C59×#32422
C59×#32322
C59×#31222
C59×#31192
C59×#31062
C59×#30842
C59×#30812
C59×#30802
C59×#29932
#6219559