Finite Group Databasebeta

← #29482258

Subgroups — #29482258

Order 15104.

1902 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438614C211yesmaximal, characteristic, complemented
2#21438135C211yesmaximal, characteristic, complemented
3#21437166C211yesmaximal, characteristic, complemented
4#21437155C211yesmaximal, characteristic, complemented
5#21436892C211yesmaximal, characteristic, complemented
6#21436883C211yesmaximal, characteristic, complemented
7#21436214C211yesmaximal, characteristic, complemented
8#21436208C211yesmaximal, characteristic, complemented
9#21436058C211yesmaximal, characteristic, complemented
10#21436053C211yesmaximal, characteristic, complemented
11#21435923C211yesmaximal, characteristic, complemented
12#21435916C211yesmaximal, characteristic, complemented
13#21435809C211yesmaximal, characteristic, complemented
14#21435797C211yesmaximal, characteristic, complemented
15#21435621C211yesmaximal, characteristic, complemented
16#21435615C211yesmaximal, characteristic, complemented
17#21435571C211yesmaximal, characteristic, complemented
18#21435570C211yesmaximal, characteristic, complemented
19#21435567C211yesmaximal, characteristic, complemented
20#21435564C211yesmaximal, characteristic, complemented
21#21435410C211yesmaximal, characteristic, complemented
22#21435195C211yesmaximal, characteristic, complemented
23#21435190C211yesmaximal, characteristic, complemented
24#21435097C211yesmaximal, characteristic, complemented
25#21434373C211yesmaximal, characteristic, complemented
26#21434370C211yesmaximal, characteristic, complemented
27#21434186C211yesmaximal, characteristic, complemented
28#21433630C211yesmaximal, characteristic, complemented
29#463×D59C211yesmaximal, characteristic, complemented
30#21433233C211yesmaximal, characteristic, complemented
31C59×#3045C211yesmaximal, characteristic, complemented
32C2×#14273751C2211yescharacteristic, complemented
33C2×#14273746C2211yescharacteristic, complemented
34C2×SD16×D59C2211yescharacteristic, complemented
35C2×D8×D59C2211yescharacteristic
36#16838147—21no—
37#16838145—21no—
38#16838138C2211yescharacteristic, complemented
39#16838134C2211yescharacteristic, complemented
40#16838124C2211yescharacteristic, complemented
41#16838112C2211yescharacteristic, complemented
42#16838107C2211yescharacteristic, complemented
43#16838085—21no—
44#16838081—21no—
45#16838076—21no—
46D4×Dic118C2211yescharacteristic, complemented
47#16838061—21no—
48#16838060C2211yescharacteristic
49#16838059C2211yescharacteristic
50#16838053C2211yescharacteristic, complemented
51#16838051C2211yescharacteristic, complemented
52#16838047C2211yescharacteristic, complemented
53#16838046C2211yescharacteristic, complemented
54#16838041—21no—
55#16838040C2211yescharacteristic, complemented
56#16838040C2211yescharacteristic, complemented
57#16838039—21no—
58#16838037C2211yescharacteristic
59D4×C22⋊D59C2211yescharacteristic
60#16838024C2211yescharacteristic, complemented
61#16838023C2211yescharacteristic, complemented
62#16838023C2211yescharacteristic, complemented
63#16838021C2211yescharacteristic, complemented
64#16837999—21no—
65#16837994—21no—
66#16837989—21no—
67#16837987—21no—
68#16837984—21no—
69#16837965C2211yescharacteristic, complemented
70#16837962—21no—
71#16837956C2211yescharacteristic, complemented
72#16837950C2211yescharacteristic
73#16837930C2211yescharacteristic
74#124×D59C2211yescharacteristic
75#16837911—21no—
76C2×#14273705—21no—
77#16837881C2211yescharacteristic, complemented
78C4×D4×D59C2211yescharacteristic, complemented
79#16837795C2211yescharacteristic, complemented
80#16837793C2211yescharacteristic, complemented
81#16837789C2211yescharacteristic
82#16837788C2211yescharacteristic
83#16837784C2211yescharacteristic, complemented
84#16837783C2211yescharacteristic, complemented
85#16837763C2211yescharacteristic, complemented
86#16837761C2211yescharacteristic, complemented
87#16837760C2211yescharacteristic, complemented
88#16837760C2211yescharacteristic, complemented
89#16837748C2211yescharacteristic, complemented
90#16837747C2211yescharacteristic, complemented
91#16837732C2211yescharacteristic, complemented
92#16837731C2211yescharacteristic, complemented
93#16837720C2211yescharacteristic, complemented
94#16837719C2211yescharacteristic, complemented
95#16837719C2211yescharacteristic, complemented
96#16837719C2211yescharacteristic, complemented
97#16837693C2211yescharacteristic, complemented
98#16837693C2211yescharacteristic, complemented
99#16837692C2211yescharacteristic, complemented
100#16837690C2211yescharacteristic, complemented
101#16837690C2211yescharacteristic, complemented
102#16837690C2211yescharacteristic, complemented
103#16837688C2211yescharacteristic, complemented
104#16837688C2211yescharacteristic, complemented
105#16837687C2211yescharacteristic, complemented
106#16837685C2211yescharacteristic, complemented
107#16837660C2211yescharacteristic, complemented
108#16837657C2211yescharacteristic, complemented
109#16837655C2211yescharacteristic
110#16837654C2211yescharacteristic
111#16837634C2211yescharacteristic, complemented
112#16837631C2211yescharacteristic, complemented
113#16837631C2211yescharacteristic, complemented
114#16837630C2211yescharacteristic, complemented
115#16837630C2211yescharacteristic, complemented
116#16837628C2211yescharacteristic, complemented
117#16837628C2211yescharacteristic, complemented
118#16837628C2211yescharacteristic, complemented
119#16837626C2211yescharacteristic, complemented
120#16837625C2211yescharacteristic, complemented
121#16837625C2211yescharacteristic, complemented
122#16837624C2211yescharacteristic, complemented
123#16837623C2211yescharacteristic, complemented
124#16837621C2211yescharacteristic, complemented
125#16837620C2211yescharacteristic, complemented
126#16837619C2211yescharacteristic, complemented
127#16837619C2211yescharacteristic, complemented
128#16837618C2211yescharacteristic, complemented
129#16837618C2211yescharacteristic, complemented
130#16837617C2211yescharacteristic, complemented
131#16837616C2211yescharacteristic, complemented
132#16837615C2211yescharacteristic, complemented
133#16837615C2211yescharacteristic, complemented
134#16837614C2211yescharacteristic, complemented
135#16837605C2211yescharacteristic, complemented
136#16837605C2211yescharacteristic, complemented
137#16837601C2211yescharacteristic, complemented
138#16837599C2211yescharacteristic, complemented
139#16837595C2211yescharacteristic
140#16837594C2211yescharacteristic, complemented
141#16837564C2211yescharacteristic, complemented
142#16837564C2211yescharacteristic, complemented
143#16837561C2211yescharacteristic, complemented
144#16837561C2211yescharacteristic, complemented
145#16837559C2211yescharacteristic, complemented
146#16837556C2211yescharacteristic, complemented
147#16837554C2211yescharacteristic
148#16837553C2211yescharacteristic, complemented
149#16837551C2211yescharacteristic
150#16837551C2211yescharacteristic, complemented
151#16837548C2211yescharacteristic, complemented
152#16837547C2211yescharacteristic
153#16837547C2211yescharacteristic, complemented
154#16837544C2211yescharacteristic
155#16837537C2211yescharacteristic, complemented
156#16837536C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837531C2211yescharacteristic, complemented
160#16837529C2211yescharacteristic, complemented
161#16837514C2211yescharacteristic, complemented
162#16837514C2211yescharacteristic, complemented
163#16837514C2211yescharacteristic, complemented
164#16837512C2211yescharacteristic, complemented
165#16837511C2211yescharacteristic, complemented
166#16837511C2211yescharacteristic, complemented
167#16837507C2211yescharacteristic, complemented
168#16837506C2211yescharacteristic, complemented
169#16837493C2211yescharacteristic, complemented
170SD16×Dic59C2211yescharacteristic, complemented
171C4×#11745671C2211yescharacteristic, complemented
172C4×#11745670C2211yescharacteristic, complemented
173#16837473C2211yescharacteristic, complemented
174#16837472C2211yescharacteristic, complemented
175#16837471C2211yescharacteristic, complemented
176#16837471C2211yescharacteristic, complemented
177#16837467C2211yescharacteristic, complemented
178C8×C22⋊D59C2211yescharacteristic, complemented
179#16837463C2211yescharacteristic, complemented
180#16837462C2211yescharacteristic, complemented
181#16837458C2211yescharacteristic, complemented
182#16837427C2211yescharacteristic, complemented
183C4⋊C8×D59C2211yescharacteristic, complemented
184#16837400C2211yescharacteristic, complemented
185#103×D59C2211yescharacteristic, complemented
186#102×D59C2211yescharacteristic
187#102×D59C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
189C2×#135×C59C2211yescharacteristic, complemented
190C59×#535C2211yescharacteristic, complemented
191C59×#520C2211yescharacteristic, complemented
192C59×#464C2211yescharacteristic, complemented
193C59×#464C2211yescharacteristic, complemented
194C59×#463C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#460C2211yescharacteristic, complemented
197C59×#460C2211yescharacteristic, complemented
198C59×#459C2211yescharacteristic
199C59×#459C2211yescharacteristic, complemented
200C59×#424C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C2×#102×C59C2211yescharacteristic, complemented
203C2×#11745685—21no—
204C2×#11745687—21no—
205C2×#11745687C2311yescharacteristic
206C2×#11745687C2311yescharacteristic
207C22×Dic118—21no—
208C2×Q8×D59C2311yescharacteristic
209C22×C22⋊D59—21no—
210C2×D4×D59—21no—
211C2×D4×D59C2311yescharacteristic
212C2×D4×D59C2311yescharacteristic
213C2×D4×D59C2311yescharacteristic
214C22×C4×D59—21no—
215#14273751—42no—
216#14273746—42no—
217C2×Dic236C2311yescharacteristic
218C2×#11745672C2311yescharacteristic
219C2×#11745672C2311yescharacteristic
220C2×#11745660C2311yescharacteristic
221C2×#11745660C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745670C2311yescharacteristic
226C2×#11745671C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228SD16×D59—42no—
229C2×D472C2311yescharacteristic
230C2×#11745669C2311yescharacteristic
231C2×#11745669C2311yescharacteristic
232C2×#11745669C2311yescharacteristic
233C2×#11745669C2311yescharacteristic
234D8×D59—42no—
235C2×#11745659C2311yescharacteristic
236C2×C8×D59C2311yescharacteristic
237C2×C8×D59C2311yescharacteristic
238C2×C8×D59C2311yescharacteristic
239#14273727C2311yescharacteristic
240#14273727C2311yescharacteristic
241#14273726C2311yescharacteristic
242#14273726C2311yescharacteristic
243#14273725C2311yescharacteristic
244#14273723C2311yescharacteristic
245#14273722—21no—
246#14273722—21no—
247#14273722—21no—
248#14273722D411yescharacteristic
249#14273721—21no—
250#14273721—21no—
251#14273720—21no—
252#14273720D411yescharacteristic
253#14273719—21no—
254#14273717—21no—
255#14273717—21no—
256#14273717D411yescharacteristic
257#14273716C2311yescharacteristic
258#14273716C2311yescharacteristic
259#14273715—21no—
260#14273715C2311yescharacteristic
261#14273715C2311yescharacteristic
262#14273714—21no—
263#14273714—21no—
264#14273714—21no—
265#14273714C2311yescharacteristic
266#14273714C2311yescharacteristic
267#14273713—21no—
268#14273713—21no—
269#14273713—21no—
270#14273713—21no—
271#14273713—21no—
272#14273713—21no—
273#14273713—21no—
274#14273713D411yescharacteristic
275#14273712—21no—
276#14273712—21no—
277#14273712D411yescharacteristic
278#14273711—21no—
279#14273711—21no—
280#14273711—21no—
281#14273710—21no—
282#14273710—21no—
283#14273710—21no—
284#14273710—21no—
285#14273709—21no—
286#14273709—21no—
287#14273709—21no—
288#14273709D411yescharacteristic
289#14273708—21no—
290#14273708—21no—
291#14273708—21no—
292#14273708—21no—
293#14273707C2311yescharacteristic
294#14273706—21no—
295#14273706—21no—
296#14273706—21no—
297#14273706C2311yescharacteristic
298#14273706C2311yescharacteristic
299#14273705—21no—
300#14273705—21no—
301#14273705—21no—
302#14273705—21no—
303#14273705—21no—
304#14273705—21no—
305#14273705—21no—
306#14273705—21no—
307#14273705—21no—
308#14273705D411yescharacteristic
309#14273704—21no—
310#14273704—21no—
311#14273704—21no—
312#14273704—21no—
313#14273703C2311yescharacteristic
314#14273703C2311yescharacteristic
315#14273703C2311yescharacteristic
316#14273702C2311yescharacteristic
317#14273701—21no—
318#14273701C2311yescharacteristic
319#14273701C2311yescharacteristic
320#14273700—21no—
321#14273700D411yescharacteristic
322#14273699—21no—
323#14273699—21no—
324#14273699—21no—
325#14273699—21no—
326#14273699—21no—
327#14273699—21no—
328#14273699—21no—
329#14273698—21no—
330#14273698—21no—
331#14273698—21no—
332#14273698C2311yescharacteristic
333#14273698C2311yescharacteristic
334#14273698C2311yescharacteristic
335#14273697—21no—
336#14273696—21no—
337#14273696—21no—
338#14273695—21no—
339#14273695—21no—
340#14273695—21no—
341#14273695—21no—
342#14273695—21no—
343#14273695—21no—
344#14273695—21no—
345Q8×Dic59C2311yescharacteristic
346C4×Dic118—21no—
347C4×Dic118C2311yescharacteristic
348C4×Dic118C2311yescharacteristic
349C4×Dic118C2311yescharacteristic
350#14273692C2311yescharacteristic
351C4×D236—21no—
352C4×D236C2311yescharacteristic
353C4×D236C2311yescharacteristic
354C4×D236C2311yescharacteristic
355D4×Dic59—21no—
356D4×Dic59—21no—
357D4×Dic59C2311yescharacteristic
358D4×Dic59C2311yescharacteristic
359D4×Dic59C2311yescharacteristic
360D4×Dic59C2311yescharacteristic
361D4×Dic59C2311yescharacteristic
362#14273689C2311yescharacteristic
363C4×C22⋊D59—21no—
364C4×C22⋊D59—21no—
365C4×C22⋊D59—21no—
366C4×C22⋊D59—21no—
367C4×C22⋊D59C2311yescharacteristic
368C4×C22⋊D59C2311yescharacteristic
369(C22⋊D59)⋊C4—21no—
370(C22⋊D59)⋊C4—21no—
371(C22⋊D59)⋊C4—21no—
372(C22⋊D59)⋊C4—21no—
373#14273684—21no—
374#14273684—21no—
375#14273684C2311yescharacteristic
376#14273683—21no—
377C2×Dic59⋊C4—21no—
378C2×Dic59⋊C4—21no—
379C4⋊C4×D59C2311yescharacteristic
380C4⋊C4×D59C2311yescharacteristic
381C2×C22⋊Dic59—21no—
382C2×(C2×D59)⋊C4—21no—
383C2×(C2×D59)⋊C4—21no—
384C2×(C2×D59)⋊C4—21no—
385C22⋊C4×D59—21no—
386C22⋊C4×D59—21no—
387C22⋊C4×D59—21no—
388C42×D59C2311yescharacteristic
389#14273659C2311yescharacteristic
390#14273659C2311yescharacteristic
391#14273659C2311yescharacteristic
392#14273659C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395#14273658C2311yescharacteristic
396#14273658C2311yescharacteristic
397C4⋊(C59⋊C8)C2311yescharacteristic
398C4⋊(C59⋊C8)C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273650C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427C22⋊(C59⋊C8)C2311yescharacteristic
428C22⋊(C59⋊C8)C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430(C2×D59)⋊C8C2311yescharacteristic
431(C2×D59)⋊C8C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433#14273638C2311yescharacteristic
434#14273637C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437C4×C59⋊C8C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C2×#41×C59C2311yescharacteristic
440C2×#41×C59C2311yescharacteristic
441C22×D4×C59C2311yescharacteristic
442AGL(1,ℤ/8)×C59—42no—
443#135×C59—42no—
444C2×Q16×C59C2311yescharacteristic
445C2×SD16×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×D8×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C2×M16×C59C2311yescharacteristic
453C22×C8×C59C2311yescharacteristic
454#127×C59C2311yescharacteristic
455#127×C59C2311yescharacteristic
456#124×C59C2311yescharacteristic
457#124×C59C2311yescharacteristic
458#121×C59—21no—
459#121×C59—21no—
460#120×C59—21no—
461#120×C59—21no—
462C4×Q8×C59C2311yescharacteristic
463C4×Q8×C59C2311yescharacteristic
464C4×D4×C59—21no—
465C4×D4×C59—21no—
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468#117×C59—21no—
469#117×C59C2311yescharacteristic
470C2×C4⋊C4×C59—21no—
471C2×C4⋊C4×C59C2311yescharacteristic
472C4⋊C8×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475C4⋊C8×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C24×C59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C23×D59—21no—
488#41×C59—22no—
489#41×C59—41no—
490#41×C59—41no—
491#41×C59—41no—
492C2×Q8×C59C2411yescharacteristic
493C2×Q8×C59C2411yescharacteristic
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—41no—
502C2×D4×C59—41no—
503C2×D4×C59C2411yescharacteristic
504C2×D4×C59C2411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59C2411yescharacteristic
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—82no—
526C2×C22⋊D59C2×D411yescharacteristic
527C2×C22⋊D59C2×D411yescharacteristic
528C22×Dic59—21no—
529C22×Dic59—21no—
530C22×Dic59—21no—
531C22×Dic59—21no—
532C22×Dic59—21no—
533C22×Dic59—21no—
534C22×Dic59—21no—
535Q8×D59—41no—
536Q8×D59—41no—
537#11745687—22no—
538#11745687—41no—
539#11745687—41no—
540#11745687—41no—
541#11745687—82no—
542D4×D59—22no—
543D4×D59—41no—
544D4×D59—41no—
545D4×D59—41no—
546D4×D59—41no—
547D4×D59—41no—
548D4×D59—82no—
549#11745685—82no—
550C2×D236—21no—
551C2×D236C2×D411yescharacteristic
552C2×D236C2411yescharacteristic
553C2×D236C2411yescharacteristic
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—21no—
560C2×C4×D59—82no—
561C2×C4×D59C2×D411yescharacteristic
562C2×C4×D59C2×D411yescharacteristic
563C2×C4×D59C2411yescharacteristic
564C2×C4×D59C2411yescharacteristic
565C2×Dic118—21no—
566C2×Dic118—21no—
567C2×Dic118—21no—
568C2×Dic118—21no—
569C2×Dic118—21no—
570C2×Dic118—82no—
571C2×Dic118C2×D411yescharacteristic
572C2×Dic118C2411yescharacteristic
573C2×Dic118C2411yescharacteristic
574Q16×C59—41no—
575SD16×C59—22no—
576SD16×C59—41no—
577SD16×C59—41no—
578SD16×C59—41no—
579D8×C59—22no—
580D8×C59—22no—
581D8×C59—22no—
582M16×C59—41no—
583C2×C8×C59—41no—
584C2×C8×C59C2411yescharacteristic
585C2×C8×C59C2411yescharacteristic
586C2×C8×C59C2411yescharacteristic
587C2×C8×C59C2411yescharacteristic
588C4⋊C4×C59—21no—
589C4⋊C4×C59—21no—
590C4⋊C4×C59—21no—
591C4⋊C4×C59C2×D411yescharacteristic
592C4⋊C4×C59C2×D411yescharacteristic
593C4⋊C4×C59C2411yescharacteristic
594C4⋊C4×C59C2411yescharacteristic
595C22⋊C4×C59—21no—
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59C2×D411yescharacteristic
602C22⋊C4×C59C2×D411yescharacteristic
603C42×C59—21no—
604C42×C59—21no—
605C42×C59C2411yescharacteristic
606C42×C59C2411yescharacteristic
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59—21no—
619C22⋊Dic59—21no—
620C22⋊Dic59—21no—
621C22⋊Dic59C2×D411yescharacteristic
622C22⋊Dic59C2×D411yescharacteristic
623#11745672—41no—
624#11745672—41no—
625#11745671—41no—
626#11745671—41no—
627#11745670—22no—
628#11745670—41no—
629#11745670—41no—
630#11745670—41no—
631#11745669—22no—
632#11745669—41no—
633#11745669—41no—
634#11745669—41no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4C2×D411yescharacteristic
654(C2×D59)⋊C4C2×D411yescharacteristic
655(C2×D59)⋊C4C2×D411yescharacteristic
656(C2×D59)⋊C4C2×D411yescharacteristic
657(C2×D59)⋊C4C2×D411yescharacteristic
658(C2×D59)⋊C4C2×D411yescharacteristic
659C4⋊Dic59—21no—
660C4⋊Dic59—21no—
661C4⋊Dic59—21no—
662C4⋊Dic59—21no—
663C4⋊Dic59C2×D411yescharacteristic
664C4⋊Dic59C2×D411yescharacteristic
665C4⋊Dic59C2411yescharacteristic
666C4⋊Dic59C2411yescharacteristic
667C4⋊Dic59C2411yescharacteristic
668C4⋊Dic59C2411yescharacteristic
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4—21no—
681Dic59⋊C4—21no—
682Dic59⋊C4—21no—
683Dic59⋊C4C2×D411yescharacteristic
684Dic59⋊C4C2×D411yescharacteristic
685Dic59⋊C4C2×D411yescharacteristic
686Dic59⋊C4C2×D411yescharacteristic
687Dic59⋊C4C2×D411yescharacteristic
688Dic59⋊C4C2×D411yescharacteristic
689C4×Dic59—21no—
690C4×Dic59—21no—
691C4×Dic59—21no—
692C4×Dic59—21no—
693C4×Dic59C2×D411yescharacteristic
694C4×Dic59C2×D411yescharacteristic
695C4×Dic59C2411yescharacteristic
696C4×Dic59C2411yescharacteristic
697C2×C59⋊C8C2411yescharacteristic
698C2×C59⋊C8C2411yescharacteristic
699C2×C59⋊C8C2411yescharacteristic
700C2×C59⋊C8C2411yescharacteristic
701Dic236—41no—
702D472—41no—
703#11745660—41no—
704#11745660—41no—
705#11745659—41no—
706C8×D59—41no—
707C8×D59—41no—
708C8×D59—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—21no—
712C23×C59—21no—
713C23×C59—81no—
714C23×C59—81no—
715C23×C59—81no—
716C23×C59C22×D411yescharacteristic
717C22×D59—21no—
718C22×D59—21no—
719C22×D59—42no—
720C22×D59—42no—
721C22×D59—42no—
722C22×D59—81no—
723C22×D59—81no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59C22×D411yescharacteristic
729C22×D59C22×D411yescharacteristic
730Q8×C59—21no—
731Q8×C59—21no—
732Q8×C59—21no—
733Q8×C59—21no—
734D4×C59—21no—
735D4×C59—21no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59—21no—
740D4×C59—21no—
741D4×C59—42no—
742D4×C59—81no—
743D4×C59—81no—
744D4×C59—81no—
745D4×C59—81no—
746D4×C59—81no—
747D4×C59—81no—
748D4×C59H(5,𝔽2)12yes—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—42no—
756C2×C4×C59—81no—
757C2×C4×C59—81no—
758C2×C4×C59—81no—
759C2×C4×C59—81no—
760C2×C4×C59C22×D411yescharacteristic
761C2×C4×C59C22×D411yescharacteristic
762C2×C4×C59C22×D411yescharacteristic
763C2×C4×C59C22×D411yescharacteristic
764C2×C4×C59C22×D411yescharacteristic
765C2×C4×C59C2511yescharacteristic
766C22⋊D59—22no—
767C22⋊D59—41no—
768C22⋊D59—42no—
769C22⋊D59—42no—
770C22⋊D59—42no—
771C22⋊D59—42no—
772C22⋊D59—81no—
773C22⋊D59—81no—
774C22⋊D59—81no—
775C22⋊D59—81no—
776C22⋊D59—81no—
777C22⋊D59—81no—
778C22⋊D59—81no—
779C22⋊D59—81no—
780C2×Dic59—21no—
781C2×Dic59—21no—
782C2×Dic59—21no—
783C2×Dic59—21no—
784C2×Dic59—21no—
785C2×Dic59—21no—
786C2×Dic59—42no—
787C2×Dic59—42no—
788C2×Dic59—81no—
789C2×Dic59—81no—
790C2×Dic59—81no—
791C2×Dic59—81no—
792C2×Dic59—81no—
793C2×Dic59C22×D411yescharacteristic
794C2×Dic59C22×D411yescharacteristic
795C2×Dic59C22×D411yescharacteristic
796C2×Dic59C22×D411yescharacteristic
797C2×Dic59C22×D411yescharacteristic
798C2×Dic59C22×D411yescharacteristic
799D236—22no—
800D236—21no—
801D236—21no—
802D236—21no—
803D236—21no—
804D236—81no—
805C4×D59—22no—
806C4×D59—21no—
807C4×D59—21no—
808C4×D59—21no—
809C4×D59—21no—
810C4×D59—41no—
811C4×D59—42no—
812C4×D59—81no—
813C4×D59—81no—
814C4×D59—81no—
815C4×D59—81no—
816C4×D59—81no—
817Dic118—21no—
818Dic118—21no—
819Dic118—21no—
820Dic118—21no—
821Dic118—41no—
822Dic118—42no—
823Dic118—81no—
824Dic118—81no—
825Dic118—81no—
826Dic118—81no—
827C8×C59—21no—
828C8×C59—21no—
829C8×C59—21no—
830C8×C59—21no—
831C59⋊C8—21no—
832C59⋊C8—21no—
833C59⋊C8—21no—
834C59⋊C8—21no—
835#62018—591nomaximal, Sylow
836C22×C59—21no—
837C22×C59—22no—
838C22×C59—21no—
839C22×C59—21no—
840C22×C59—41no—
841C22×C59—41no—
842C22×C59—41no—
843C22×C59—41no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—162no—
852C22×C59C23×D411yescharacteristic
853C2×D59—21no—
854C2×D59—21no—
855C2×D59—21no—
856C2×D59—21no—
857C2×D59—21no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—84no—
865C2×D59—162no—
866C2×D59—162no—
867C2×D59#57712yes—
868C4×C59—21no—
869C4×C59—21no—
870C4×C59—21no—
871C4×C59—21no—
872C4×C59—21no—
873C4×C59—41no—
874C4×C59—41no—
875C4×C59—41no—
876C4×C59—41no—
877C4×C59C2×H(5,𝔽2)11yescharacteristic
878C4×C59#58511yescharacteristic
879Dic59—21no—
880Dic59—21no—
881Dic59—21no—
882Dic59—21no—
883Dic59—21no—
884Dic59—21no—
885Dic59—41no—
886Dic59—41no—
887Dic59—41no—
888Dic59—41no—
889Dic59—41no—
890Dic59—41no—
891#3558—591no—
892#3520—591no—
893#3401—591no—
894#3401—591no—
895#3373—591no—
896#3373—591no—
897#3316—591no—
898#3316—591no—
899#3306—591no—
900#3306—591no—
901#3295—591no—
902#3295—591no—
903#3282—591no—
904#3282—591no—
905#3267—591no—
906#3267—591no—
907#3264—591no—
908#3264—591no—
909#3263—591no—
910#3263—591no—
911#3246—591no—
912#3224—591no—
913#3224—591no—
914#3215—591no—
915#3125—591no—
916#3125—591no—
917#3109—591no—
918#3045—591no—
919#3045D5911yescharacteristic, complemented
920C2×#463—591no—
921#2992—591no—
922C2×C59—42no—
923C2×C59—41no—
924C2×C59—81no—
925C2×C59—81no—
926C2×C59—81no—
927C2×C59#348811yescharacteristic
928C2×C59C2×#57711yescharacteristic
929C2×C59#358511yescharacteristic
930D59—22no—
931D59—41no—
932D59—81no—
933D59—81no—
934C2×AGL(1,ℤ/8)—591no—
935C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
936C2×#135—591no—
937C2×#135C2×D5911yescharacteristic, complemented
938C22×SD16—591no—
939C22×D8—591no—
940#562—1181no—
941H(3,𝔽4)—1181no—
942#559—591no—
943#559—591no—
944#556—591no—
945#554—591no—
946#554—591no—
947#552—1181no—
948#551—1181no—
949#551—1181no—
950D4×Q8—591no—
951#548—591no—
952#548—591no—
953#548—1181no—
954#547—591no—
955#547—591no—
956#546—591no—
957#546—591no—
958#546—591no—
959#546—591no—
960#546—1181no—
961#546—1181no—
962D42—591no—
963D42—591no—
964#542—591no—
965#542—591no—
966#542—591no—
967#542—591no—
968#539—1181no—
969#539—1181no—
970#538—1181no—
971#538—1181no—
972#538—1181no—
973#535—591no—
974#535C2×D5911yescharacteristic, complemented
975#534—1181no—
976#533—591no—
977#532—591no—
978#529—591no—
979C2×#124—591no—
980#525—1181no—
981C2×C22⋊Q8—1181no—
982#520—591no—
983#520C2×D5911yescharacteristic, complemented
984C2×C4×D4—591no—
985#497—591no—
986#497—591no—
987#496—591no—
988#496—591no—
989#495—591no—
990#495—591no—
991#489—591no—
992#489—591no—
993#489—591no—
994#489—591no—
995#486—591no—
996#486—591no—
997#483—591no—
998#483—591no—
999#481—591no—
1000#481—591no—
1001#481—591no—
1002#481—591no—
1003#476—591no—
1004#476—591no—
1005#476—591no—
1006#476—591no—
1007#476—591no—
1008#476—591no—
1009#475—591no—
1010#475—591no—
1011#475—591no—
1012#475—591no—
1013#470—591no—
1014#470—591no—
1015#469—591no—
1016#469—591no—
1017#465—591no—
1018#465—591no—
1019#465—591no—
1020#465—591no—
1021#465—591no—
1022#465—591no—
1023#465—591no—
1024#465—591no—
1025#464—591no—
1026#464—591no—
1027#464—591no—
1028#464—591no—
1029#464—591no—
1030#464—591no—
1031#464C2×D5911yescharacteristic, complemented
1032#464C2×D5911yescharacteristic, complemented
1033#463—591no—
1034#463—591no—
1035#463—591no—
1036#463—591no—
1037#463—591no—
1038#463—591no—
1039#463—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463C2×D5911yescharacteristic, complemented
1044#463C2×D5911yescharacteristic, complemented
1045#461—591no—
1046#461—591no—
1047#460—591no—
1048#460—591no—
1049#460C2×D5911yescharacteristic, complemented
1050#460C2×D5911yescharacteristic, complemented
1051#459—591no—
1052#459—591no—
1053#459C2×D5911yescharacteristic
1054#459C2×D5911yescharacteristic, complemented
1055#452—591no—
1056#452—591no—
1057#452—591no—
1058#452—591no—
1059#451—591no—
1060#451—591no—
1061#450—591no—
1062#450—591no—
1063#450—591no—
1064#450—591no—
1065#449—591no—
1066#449—591no—
1067#449—591no—
1068#449—591no—
1069#447—591no—
1070#447—591no—
1071#447—591no—
1072#447—591no—
1073#446—591no—
1074#446—591no—
1075#442—591no—
1076#442—591no—
1077#442—591no—
1078#442—591no—
1079#442—591no—
1080#442—591no—
1081#441—591no—
1082#441—591no—
1083C4×SD16—591no—
1084C4×SD16—591no—
1085C4×SD16—591no—
1086C4×SD16—591no—
1087#435—591no—
1088#435—591no—
1089#435—591no—
1090#435—591no—
1091C8×D4—591no—
1092C8×D4—591no—
1093#433—591no—
1094#433—591no—
1095#432—591no—
1096#424—591no—
1097#424C2×D5911yescharacteristic, complemented
1098C2×C4⋊C8—591no—
1099#417—591no—
1100#417C2×D5911yescharacteristic, complemented
1101C2×#103—591no—
1102C2×#102—591no—
1103C2×#102—591no—
1104C2×#102C2×D5911yescharacteristic, complemented
1105C59#6201811yescharacteristic, complemented, Sylow
1106C2×#41—591no—
1107C2×#41—591no—
1108C2×#41—1181no—
1109C2×#41—1181no—
1110C2×#41C22×D5911yescharacteristic
1111C2×#41C22×D5911yescharacteristic
1112C22×Q8—591no—
1113C22×Q8—1181no—
1114C22×D4—591no—
1115C22×D4—591no—
1116C22×D4—591no—
1117C22×D4—1181no—
1118C22×D4—1181no—
1119C22×D4C22×D5911yescharacteristic
1120C23×C4—1181no—
1121AGL(1,ℤ/8)—42no—
1122AGL(1,ℤ/8)—2362no—
1123#135—42no—
1124#135—2362no—
1125C2×Q16—591no—
1126C2×Q16—591no—
1127C2×Q16—591no—
1128C2×Q16C22×D5911yescharacteristic
1129C2×SD16—591no—
1130C2×SD16—591no—
1131C2×SD16—591no—
1132C2×SD16—591no—
1133C2×SD16—591no—
1134C2×SD16—591no—
1135C2×SD16—591no—
1136C2×SD16—591no—
1137C2×SD16—2362no—
1138C2×SD16C22×D5911yescharacteristic
1139C2×SD16C22×D5911yescharacteristic
1140C2×SD16C22×D5911yescharacteristic
1141C2×SD16C22×D5911yescharacteristic
1142C2×D8—591no—
1143C2×D8—591no—
1144C2×D8—591no—
1145C2×D8—591no—
1146C2×D8—591no—
1147C2×D8—2362no—
1148C2×D8C22×D5911yescharacteristic
1149C2×D8C22×D5911yescharacteristic
1150C2×D8C22×D5911yescharacteristic
1151C2×M16—591no—
1152C2×M16C22×D5911yescharacteristic
1153C22×C8—591no—
1154C22×C8—591no—
1155C22×C8—591no—
1156C22×C8C22×D5911yescharacteristic
1157C4⋊Q8—591no—
1158C4⋊Q8—591no—
1159C4⋊Q8—591no—
1160C4⋊Q8—591no—
1161C4⋊Q8—591no—
1162#127—591no—
1163#127C22×D5911yescharacteristic
1164#127C22×D5911yescharacteristic
1165#126—591no—
1166#126—591no—
1167#126—1181no—
1168#126—1181no—
1169#126—1181no—
1170#126—1181no—
1171#126—1181no—
1172#126—1181no—
1173#125—591no—
1174#125—1181no—
1175#125—1181no—
1176#125—1181no—
1177#124—591no—
1178#124—591no—
1179#124—591no—
1180#124—591no—
1181#124—591no—
1182#124—591no—
1183#124—591no—
1184#124—1181no—
1185#124—1181no—
1186#124—1181no—
1187#124—1181no—
1188#124—1181no—
1189#124—1181no—
1190#124—1181no—
1191#124—1181no—
1192#124—1181no—
1193#124—1181no—
1194#124—1181no—
1195#124C22×D5911yescharacteristic
1196#124C22×D5911yescharacteristic
1197#123—591no—
1198#123—591no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208#123—1181no—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213#123—1181no—
1214#123—1181no—
1215C22⋊Q8—591no—
1216C22⋊Q8—591no—
1217C22⋊Q8—591no—
1218C22⋊Q8—591no—
1219C22⋊Q8—591no—
1220C22⋊Q8—591no—
1221C22⋊Q8—591no—
1222C22⋊Q8—1181no—
1223C22⋊Q8—1181no—
1224C22⋊Q8—1181no—
1225C22⋊Q8—1181no—
1226C22⋊Q8—1181no—
1227C22⋊Q8—1181no—
1228C22⋊Q8—1181no—
1229C22⋊Q8—1181no—
1230C22⋊Q8—1181no—
1231C22⋊Q8—1181no—
1232C22⋊Q8—1181no—
1233C22⋊Q8—1181no—
1234C22⋊Q8—1181no—
1235C22⋊Q8—1181no—
1236C22⋊Q8—1181no—
1237C22⋊Q8—1181no—
1238#121—21no—
1239#121—21no—
1240#121—591no—
1241#121—591no—
1242#121—591no—
1243#121—591no—
1244#121—591no—
1245#121—591no—
1246#121—591no—
1247#121—1181no—
1248#121—1181no—
1249#121—1181no—
1250#121—1181no—
1251#121—1181no—
1252#121—1181no—
1253#121—1181no—
1254#121—1181no—
1255#121—1181no—
1256#121—1181no—
1257#121—1181no—
1258#121—1181no—
1259#120—21no—
1260#120—21no—
1261#120—1181no—
1262#120—1181no—
1263#120—1181no—
1264#120—1181no—
1265#120—1181no—
1266#120—1181no—
1267#120—1181no—
1268#120—1181no—
1269#120—1181no—
1270#120—1181no—
1271C4×Q8—591no—
1272C4×Q8—591no—
1273C4×Q8—591no—
1274C4×Q8—591no—
1275C4×Q8—591no—
1276C4×Q8—1181no—
1277C4×Q8C22×D5911yescharacteristic
1278C4×Q8C22×D5911yescharacteristic
1279C4×D4—21no—
1280C4×D4—21no—
1281C4×D4—591no—
1282C4×D4—591no—
1283C4×D4—591no—
1284C4×D4—591no—
1285C4×D4—591no—
1286C4×D4—591no—
1287C4×D4—591no—
1288C4×D4—591no—
1289C4×D4—591no—
1290C4×D4—591no—
1291C4×D4—591no—
1292C4×D4—1181no—
1293C4×D4—1181no—
1294C4×D4—1181no—
1295C4×D4—1181no—
1296C4×D4—1181no—
1297C4×D4—1181no—
1298C4×D4—1181no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4—1181no—
1303C4×D4C22×D5911yescharacteristic
1304C4×D4C22×D5911yescharacteristic
1305#117—21no—
1306#117—591no—
1307#117—1181no—
1308#117—1181no—
1309#117—1181no—
1310#117C22×D5911yescharacteristic
1311C2×C4⋊C4—21no—
1312C2×C4⋊C4—591no—
1313C2×C4⋊C4—591no—
1314C2×C4⋊C4—1181no—
1315C2×C4⋊C4—1181no—
1316C2×C4⋊C4C22×D5911yescharacteristic
1317C2×C22⋊C4—1181no—
1318C2×C22⋊C4—1181no—
1319C2×C22⋊C4—1181no—
1320C2×C22⋊C4—1181no—
1321C2×C22⋊C4—1181no—
1322C2×C22⋊C4—1181no—
1323C2×C22⋊C4—1181no—
1324C2×C42—591no—
1325#106—591no—
1326#106—591no—
1327#106—591no—
1328#106—591no—
1329#106—591no—
1330#106—591no—
1331#106—591no—
1332#106—591no—
1333C4⋊C8—591no—
1334C4⋊C8—591no—
1335C4⋊C8—591no—
1336C4⋊C8—591no—
1337C4⋊C8—591no—
1338C4⋊C8—591no—
1339C4⋊C8C22×D5911yescharacteristic
1340C4⋊C8C22×D5911yescharacteristic
1341C4⋊C8C22×D5911yescharacteristic
1342C4⋊C8C22×D5911yescharacteristic
1343#103—591no—
1344#103—591no—
1345#103—591no—
1346#103—591no—
1347#103—591no—
1348#103—591no—
1349#103—591no—
1350#103—591no—
1351#103—591no—
1352#103—591no—
1353#103C22×D5911yescharacteristic
1354#103C22×D5911yescharacteristic
1355#102—591no—
1356#102—591no—
1357#102—591no—
1358#102—591no—
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102C22×D5911yescharacteristic
1370#102C22×D5911yescharacteristic
1371#102C22×D5911yescharacteristic
1372#102C22×D5911yescharacteristic
1373#102C22×D5911yescharacteristic
1374#102C22×D5911yescharacteristic
1375C22⋊C8—591no—
1376C22⋊C8—591no—
1377C22⋊C8—591no—
1378C22⋊C8—591no—
1379C22⋊C8—591no—
1380C22⋊C8—591no—
1381#97—591no—
1382#97—591no—
1383#97—591no—
1384#97—591no—
1385C4×C8—591no—
1386C4×C8—591no—
1387C24—21no—
1388C24—1181no—
1389C24—1181no—
1390C24—1181no—
1391#41—22no—
1392#41—41no—
1393#41—41no—
1394#41—41no—
1395#41—1182no—
1396#41—4722no—
1397#41—4722no—
1398#41—2361no—
1399#41—2361no—
1400#41—2361no—
1401C2×Q8—591no—
1402C2×Q8—591no—
1403C2×Q8—591no—
1404C2×Q8—1181no—
1405C2×Q8—1181no—
1406C2×Q8—1181no—
1407C2×Q8—1181no—
1408C2×Q8—1181no—
1409C2×Q8—4722no—
1410C2×Q8—2361no—
1411C2×Q8—2361no—
1412C2×Q8C23×D5911yescharacteristic
1413C2×Q8C23×D5911yescharacteristic
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—41no—
1422C2×D4—41no—
1423C2×D4—591no—
1424C2×D4—591no—
1425C2×D4—591no—
1426C2×D4—591no—
1427C2×D4—591no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1181no—
1431C2×D4—1181no—
1432C2×D4—1181no—
1433C2×D4—1181no—
1434C2×D4—1182no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—1181no—
1441C2×D4—1181no—
1442C2×D4—4722no—
1443C2×D4—4722no—
1444C2×D4—2361no—
1445C2×D4—2361no—
1446C2×D4—2361no—
1447C2×D4—2361no—
1448C2×D4—2361no—
1449C2×D4C23×D5911yescharacteristic
1450C2×D4C23×D5911yescharacteristic
1451C2×D4C23×D5911yescharacteristic
1452C2×D4C23×D5911yescharacteristic
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—21no—
1458C22×C4—591no—
1459C22×C4—591no—
1460C22×C4—591no—
1461C22×C4—591no—
1462C22×C4—1181no—
1463C22×C4—1181no—
1464C22×C4—1181no—
1465C22×C4—1181no—
1466C22×C4—1181no—
1467C22×C4—1181no—
1468C22×C4—1181no—
1469C22×C4—1181no—
1470C22×C4—1181no—
1471C22×C4—1181no—
1472C22×C4—1181no—
1473C22×C4—1181no—
1474C22×C4—1181no—
1475C22×C4—4722no—
1476C22×C4C23×D5911yescharacteristic
1477Q16—41no—
1478Q16—2361no—
1479Q16—2361no—
1480Q16—2361no—
1481SD16—22no—
1482SD16—41no—
1483SD16—41no—
1484SD16—41no—
1485SD16—1182no—
1486SD16—2361no—
1487SD16—2361no—
1488SD16—2361no—
1489SD16—2361no—
1490SD16—2361no—
1491SD16—2361no—
1492SD16—2361no—
1493D8—22no—
1494D8—22no—
1495D8—22no—
1496D8—1182no—
1497D8—2361no—
1498D8—2361no—
1499D8—2361no—
1500D8—2361no—
1501M16—41no—
1502M16—2361no—
1503C2×C8—41no—
1504C2×C8—591no—
1505C2×C8—591no—
1506C2×C8—591no—
1507C2×C8—591no—
1508C2×C8—2361no—
1509C2×C8—2361no—
1510C2×C8—2361no—
1511C2×C8C23×D5911yescharacteristic
1512C2×C8C23×D5911yescharacteristic
1513C2×C8C23×D5911yescharacteristic
1514C2×C8C23×D5911yescharacteristic
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—591no—
1519C4⋊C4—591no—
1520C4⋊C4—591no—
1521C4⋊C4—591no—
1522C4⋊C4—591no—
1523C4⋊C4—591no—
1524C4⋊C4—591no—
1525C4⋊C4—591no—
1526C4⋊C4—591no—
1527C4⋊C4—591no—
1528C4⋊C4—591no—
1529C4⋊C4—591no—
1530C4⋊C4—1181no—
1531C4⋊C4—1181no—
1532C4⋊C4—1181no—
1533C4⋊C4—1181no—
1534C4⋊C4—1181no—
1535C4⋊C4—1181no—
1536C4⋊C4—1181no—
1537C4⋊C4—1181no—
1538C4⋊C4—1181no—
1539C4⋊C4—1181no—
1540C4⋊C4—1181no—
1541C4⋊C4—1181no—
1542C4⋊C4—1181no—
1543C4⋊C4—1181no—
1544C4⋊C4—1181no—
1545C4⋊C4—1181no—
1546C4⋊C4—1181no—
1547C4⋊C4—1181no—
1548C4⋊C4D4×D5911yescharacteristic
1549C4⋊C4D4×D5911yescharacteristic
1550C4⋊C4C23×D5911yescharacteristic
1551C4⋊C4C23×D5911yescharacteristic
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—591no—
1559C22⋊C4—591no—
1560C22⋊C4—591no—
1561C22⋊C4—591no—
1562C22⋊C4—591no—
1563C22⋊C4—591no—
1564C22⋊C4—591no—
1565C22⋊C4—591no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4—1181no—
1577C22⋊C4—1181no—
1578C22⋊C4—1181no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4D4×D5911yescharacteristic
1599C22⋊C4D4×D5911yescharacteristic
1600C42—21no—
1601C42—21no—
1602C42—591no—
1603C42—591no—
1604C42—591no—
1605C42—591no—
1606C42—1181no—
1607C42—1181no—
1608C42—1181no—
1609C42—1181no—
1610C42C23×D5911yescharacteristic
1611C42C23×D5911yescharacteristic
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—81no—
1617C23—81no—
1618C23—81no—
1619C23—591no—
1620C23—591no—
1621C23—1181no—
1622C23—1181no—
1623C23—4721no—
1624C23—4721no—
1625C23—4721no—
1626C23—4721no—
1627C23—4721no—
1628C23—4721no—
1629C23—2362no—
1630C23—2362no—
1631C23—2362no—
1632C23C2×D4×D5911yescharacteristic
1633Q8—21no—
1634Q8—21no—
1635Q8—21no—
1636Q8—21no—
1637Q8—1181no—
1638Q8—1181no—
1639Q8—1181no—
1640Q8—1181no—
1641Q8—4721no—
1642Q8—4721no—
1643Q8—4721no—
1644Q8—4721no—
1645Q8—2361no—
1646Q8—2362no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—21no—
1652D4—21no—
1653D4—21no—
1654D4—42no—
1655D4—81no—
1656D4—81no—
1657D4—81no—
1658D4—81no—
1659D4—81no—
1660D4—81no—
1661D4—1182no—
1662D4—1182no—
1663D4—1181no—
1664D4—1181no—
1665D4—1181no—
1666D4—1181no—
1667D4—4721no—
1668D4—4721no—
1669D4—4721no—
1670D4—4721no—
1671D4—4721no—
1672D4—4721no—
1673D4—4721no—
1674D4—4721no—
1675D4—4721no—
1676D4—2361no—
1677D4—2362no—
1678D4—2362no—
1679D4—2362no—
1680D4—2362no—
1681D4#1427377212yes—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—42no—
1689C2×C4—81no—
1690C2×C4—81no—
1691C2×C4—81no—
1692C2×C4—81no—
1693C2×C4—591no—
1694C2×C4—591no—
1695C2×C4—591no—
1696C2×C4—591no—
1697C2×C4—591no—
1698C2×C4—591no—
1699C2×C4—1182no—
1700C2×C4—1181no—
1701C2×C4—1181no—
1702C2×C4—1181no—
1703C2×C4—1181no—
1704C2×C4—1181no—
1705C2×C4—1181no—
1706C2×C4—1181no—
1707C2×C4—1181no—
1708C2×C4—1181no—
1709C2×C4—1181no—
1710C2×C4—4721no—
1711C2×C4—4721no—
1712C2×C4—4721no—
1713C2×C4—4721no—
1714C2×C4—4721no—
1715C2×C4—4721no—
1716C2×C4—4721no—
1717C2×C4—4721no—
1718C2×C4—4721no—
1719C2×C4—4721no—
1720C2×C4—2361no—
1721C2×C4—2362no—
1722C2×C4—2362no—
1723C2×C4—2362no—
1724C2×C4C2×D4×D5911yescharacteristic
1725C2×C4C2×D4×D5911yescharacteristic
1726C2×C4C2×D4×D5911yescharacteristic
1727C2×C4C2×D4×D5911yescharacteristic
1728C2×C4C2×D4×D5911yescharacteristic
1729C2×C4C24×D5911yescharacteristic
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—21no—
1734C8—1181no—
1735C8—1181no—
1736C8—1181no—
1737C8—1181no—
1738C22—21no—
1739C22—22no—
1740C22—21no—
1741C22—21no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—162no—
1754C22—592no—
1755C22—1181no—
1756C22—1181no—
1757C22—1181no—
1758C22—1181no—
1759C22—1181no—
1760C22—9442no—
1761C22—9442no—
1762C22—4724no—
1763C22—2361no—
1764C22—2361no—
1765C22—2361no—
1766C22—2361no—
1767C22—2361no—
1768C22—2361no—
1769C22C22×D4×D5911yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—21no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—1181no—
1780C4—1181no—
1781C4—1181no—
1782C4—1181no—
1783C4—1181no—
1784C4—1181no—
1785C4—2361no—
1786C4—2361no—
1787C4—2361no—
1788C4—2361no—
1789C4—2361no—
1790C4—2361no—
1791C4C2×#1427377211yescharacteristic
1792C4#1683823811yescharacteristic
1793C2—41no—
1794C2—42no—
1795C2—81no—
1796C2—81no—
1797C2—81no—
1798C2—1182no—
1799C2—4721no—
1800C2—4721no—
1801C2—2361no—
1802C2#2143776111yescharacteristic
1803C2#577×D5911yescharacteristic
1804C2#2143887111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3045C2
socleC22×C59C23×D4
hypercenter#3045D59
hypocenterC59#62018
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3045

Complements

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

NH ≅ G/Ntype
1. #21438614C2semidirect
2. #21438135C2semidirect
3. #21437166C2semidirect
4. #21437155C2semidirect
5. #21436892C2semidirect
6. #21436883C2semidirect
7. #21436214C2semidirect
8. #21436208C2semidirect
9. #21436058C2semidirect
10. #21436053C2semidirect
11. #21435923C2semidirect
12. #21435916C2semidirect
13. #21435809C2semidirect
14. #21435797C2semidirect
15. #21435621C2semidirect
16. #21435615C2semidirect
17. #21435571C2semidirect
18. #21435570C2semidirect
19. #21435567C2semidirect
20. #21435564C2semidirect
21. #21435410C2semidirect
22. #21435195C2semidirect
23. #21435190C2semidirect
24. #21435097C2semidirect
25. #21434373C2semidirect
26. #21434370C2semidirect
27. #21434186C2semidirect
28. #21433630C2semidirect
29. #463×D59C2semidirect
30. #21433233C2semidirect
31. C59×#3045C2semidirect
32. C2×#14273751C22semidirect
33. C2×#14273746C22semidirect
34. C2×SD16×D59C22semidirect
38. #16838138C22semidirect
39. #16838134C22semidirect
40. #16838124C22semidirect
41. #16838112C22semidirect
42. #16838107C22semidirect
46. D4×Dic118C22semidirect
50. #16838053C22semidirect
51. #16838051C22semidirect
52. #16838047C22semidirect
53. #16838046C22semidirect
55. #16838040C22semidirect
56. #16838040C22semidirect
60. #16838024C22semidirect
61. #16838023C22semidirect
62. #16838023C22semidirect
63. #16838021C22semidirect
69. #16837965C22semidirect
71. #16837956C22semidirect
77. #16837881C22semidirect
78. C4×D4×D59C22semidirect
79. #16837795C22semidirect
80. #16837793C22semidirect
83. #16837784C22semidirect
84. #16837783C22semidirect
85. #16837763C22semidirect
86. #16837761C22semidirect
87. #16837760C22semidirect
88. #16837760C22semidirect
89. #16837748C22semidirect
90. #16837747C22semidirect
91. #16837732C22semidirect
92. #16837731C22semidirect
93. #16837720C22semidirect
94. #16837719C22semidirect
95. #16837719C22semidirect
96. #16837719C22semidirect
97. #16837693C22semidirect
98. #16837693C22semidirect
99. #16837692C22semidirect
100. #16837690C22semidirect
101. #16837690C22semidirect
102. #16837690C22semidirect
103. #16837688C22semidirect
104. #16837688C22semidirect
105. #16837687C22semidirect
106. #16837685C22semidirect
107. #16837660C22semidirect
108. #16837657C22semidirect
111. #16837634C22semidirect
112. #16837631C22semidirect
113. #16837631C22semidirect
114. #16837630C22semidirect
115. #16837630C22semidirect
116. #16837628C22semidirect
117. #16837628C22semidirect
118. #16837628C22semidirect
119. #16837626C22semidirect
120. #16837625C22semidirect
121. #16837625C22semidirect
122. #16837624C22semidirect
123. #16837623C22semidirect
124. #16837621C22semidirect
125. #16837620C22semidirect
126. #16837619C22semidirect
127. #16837619C22semidirect
128. #16837618C22semidirect
129. #16837618C22semidirect
130. #16837617C22semidirect
131. #16837616C22semidirect
132. #16837615C22semidirect
133. #16837615C22semidirect
134. #16837614C22semidirect
135. #16837605C22semidirect
136. #16837605C22semidirect
137. #16837601C22semidirect
138. #16837599C22semidirect
140. #16837594C22semidirect
141. #16837564C22semidirect
142. #16837564C22semidirect
143. #16837561C22semidirect
144. #16837561C22semidirect
145. #16837559C22semidirect
146. #16837556C22semidirect
148. #16837553C22semidirect
150. #16837551C22semidirect
151. #16837548C22semidirect
153. #16837547C22semidirect
155. #16837537C22semidirect
156. #16837536C22semidirect
157. #16837534C22semidirect
158. #16837534C22semidirect
159. #16837531C22semidirect
160. #16837529C22semidirect
161. #16837514C22semidirect
162. #16837514C22semidirect
163. #16837514C22semidirect
164. #16837512C22semidirect
165. #16837511C22semidirect
166. #16837511C22semidirect
167. #16837507C22semidirect
168. #16837506C22semidirect
169. #16837493C22semidirect
170. SD16×Dic59C22semidirect
171. C4×#11745671C22semidirect
172. C4×#11745670C22semidirect
173. #16837473C22semidirect
174. #16837472C22semidirect
175. #16837471C22semidirect
176. #16837471C22semidirect
177. #16837467C22semidirect
178. C8×C22⋊D59C22semidirect
179. #16837463C22semidirect
180. #16837462C22semidirect
181. #16837458C22semidirect
182. #16837427C22semidirect
183. C4⋊C8×D59C22semidirect
184. #16837400C22semidirect
185. #103×D59C22semidirect
187. #102×D59C22semidirect
188. C2×AGL(1,ℤ/8)×C59C22semidirect
189. C2×#135×C59C22semidirect
190. C59×#535C22semidirect
191. C59×#520C22semidirect
192. C59×#464C22semidirect
193. C59×#464C22semidirect
194. C59×#463C22semidirect
195. C59×#463C22semidirect
196. C59×#460C22semidirect
197. C59×#460C22semidirect
199. C59×#459C22semidirect
200. C59×#424C22semidirect
201. C59×#417C22semidirect
202. C2×#102×C59C22semidirect
919. #3045D59semidirect
935. C2×AGL(1,ℤ/8)C2×D59semidirect
937. C2×#135C2×D59semidirect
974. #535C2×D59semidirect
983. #520C2×D59semidirect
1031. #464C2×D59semidirect
1032. #464C2×D59semidirect
1043. #463C2×D59semidirect
1044. #463C2×D59semidirect
1049. #460C2×D59semidirect
1050. #460C2×D59semidirect
1054. #459C2×D59semidirect
1097. #424C2×D59semidirect
1100. #417C2×D59semidirect
1104. C2×#102C2×D59semidirect
1105. C59#62018semidirect

Maximal subgroups

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

subgroupindex
#214386142
#214381352
#214371662
#214371552
#214368922
#214368832
#214362142
#214362082
#214360582
#214360532
#214359232
#214359162
#214358092
#214357972
#214356212
#214356152
#214355712
#214355702
#214355672
#214355642
#214354102
#214351952
#214351902
#214350972
#214343732
#214343702
#214341862
#214336302
#463×D592
#214332332
C59×#30452
#6201859