Finite Group Databasebeta

← D59×#3268 #29463694

Subgroups — D59×#3268 #29463694

Order 15104.

2966 conjugacy classes of subgroups.

The subgroup lattice has 2142 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×AGL(1,ℤ/8)×D59C211yesmaximal, characteristic, complemented
2C2×#135×D59C211yesmaximal, characteristic, complemented
3#550×D59C211yesmaximal, characteristic, complemented
4#546×D59C211yesmaximal, characteristic, complemented
5#21435643C211yesmaximal, characteristic, complemented
6#21435642C211yesmaximal, characteristic, complemented
7#21435641C211yesmaximal, characteristic, complemented
8#21435640C211yesmaximal, characteristic, complemented
9#21435639C211yesmaximal, characteristic, complemented
10#21435638C211yesmaximal, characteristic, complemented
11#21435637C211yesmaximal, characteristic, complemented
12#21435636C211yesmaximal, characteristic, complemented
13#21435635C211yesmaximal, characteristic, complemented
14#21435634C211yesmaximal, characteristic, complemented
15#21435633C211yesmaximal, characteristic, complemented
16#21435632C211yesmaximal, characteristic, complemented
17#21435631C211yesmaximal, characteristic, complemented
18#21435630C211yesmaximal, characteristic, complemented
19#21435629C211yesmaximal, characteristic, complemented
20#496×D59C211yesmaximal, characteristic, complemented
21#468×D59C211yesmaximal, characteristic, complemented
22#466×D59C211yesmaximal, characteristic, complemented
23#464×D59C211yesmaximal, characteristic, complemented
24#459×D59C211yesmaximal, characteristic, complemented
25#452×D59C211yesmaximal, characteristic, complemented
26#449×D59C211yesmaximal, characteristic, complemented
27#449×D59C211yesmaximal, characteristic, complemented
28#447×D59C211yesmaximal, characteristic, complemented
29#440×D59C211yesmaximal, characteristic, complemented
30#435×D59C211yesmaximal, characteristic, complemented
31C59×#3268C211yesmaximal, characteristic, complemented
32C2×#41×D59C2211yescharacteristic
33C2×#41×D59C2211yescharacteristic
34C2×#41×D59C2211yescharacteristic, complemented
35C22×D4×D59C2211yescharacteristic
36C2×#14273755C2211yescharacteristic, complemented
37C2×#14273754C2211yescharacteristic, complemented
38C2×#14273754C2211yescharacteristic, complemented
39C2×#14273753C2211yescharacteristic, complemented
40C2×#14273752C2211yescharacteristic, complemented
41C2×#14273751C2211yescharacteristic, complemented
42C2×#14273751C2211yescharacteristic, complemented
43AGL(1,ℤ/8)×D59—28no—
44C2×#14273750C2211yescharacteristic, complemented
45C2×#14273749C2211yescharacteristic, complemented
46C2×#14273748C2211yescharacteristic, complemented
47C2×#14273748C2211yescharacteristic, complemented
48C2×#14273747C2211yescharacteristic, complemented
49C2×#14273747C2211yescharacteristic, complemented
50C2×#14273746C2211yescharacteristic, complemented
51#135×D59—28no—
52C2×Q16×D59C2211yescharacteristic, complemented
53C2×SD16×D59C2211yescharacteristic
54C2×SD16×D59C2211yescharacteristic
55C2×SD16×D59C2211yescharacteristic, complemented
56C2×SD16×D59C2211yescharacteristic, complemented
57C2×D8×D59C2211yescharacteristic
58C2×D8×D59C2211yescharacteristic
59C2×D8×D59C2211yescharacteristic
60C2×D8×D59C2211yescharacteristic
61C2×M16×D59C2211yescharacteristic
62C22×C8×D59C2211yescharacteristic, complemented
63#16838074C2211yescharacteristic, complemented
64#16838073—21no—
65#16838073C2211yescharacteristic, complemented
66#16838072—21no—
67#16838072C2211yescharacteristic, complemented
68#16838071C2211yescharacteristic, complemented
69#16838071C2211yescharacteristic, complemented
70#16838070—21no—
71#16838070—21no—
72#16838070C2211yescharacteristic, complemented
73#16838070C2211yescharacteristic, complemented
74#16838049C2211yescharacteristic, complemented
75#16838048C2211yescharacteristic, complemented
76#16838047C2211yescharacteristic, complemented
77#16838046C2211yescharacteristic, complemented
78#16838045C2211yescharacteristic, complemented
79#16838044—21no—
80#16838043C2211yescharacteristic, complemented
81#16838042—21no—
82#16838041—21no—
83#16838040C2211yescharacteristic, complemented
84#16838039—21no—
85#127×D59—21no—
86#127×D59C2211yescharacteristic, complemented
87#124×D59C2211yescharacteristic
88#123×D59—21no—
89C22⋊Q8×D59C2211yescharacteristic
90#121×D59—21no—
91#121×D59—21no—
92#121×D59—21no—
93#121×D59C2211yescharacteristic
94#121×D59C2211yescharacteristic
95#121×D59C2211yescharacteristic, complemented
96#120×D59—21no—
97C4×Q8×D59C2211yescharacteristic, complemented
98C4×D4×D59—21no—
99C4×D4×D59C2211yescharacteristic
100C4×D4×D59C2211yescharacteristic
101C2×C22⋊C4×D59—21no—
102#16837792C2211yescharacteristic, complemented
103#16837791C2211yescharacteristic, complemented
104#16837790C2211yescharacteristic, complemented
105#16837790C2211yescharacteristic, complemented
106#16837789C2211yescharacteristic, complemented
107#16837788C2211yescharacteristic, complemented
108#16837788C2211yescharacteristic, complemented
109#16837651C2211yescharacteristic, complemented
110#16837650C2211yescharacteristic, complemented
111#16837649C2211yescharacteristic, complemented
112#16837648C2211yescharacteristic, complemented
113#16837647C2211yescharacteristic, complemented
114#16837646C2211yescharacteristic, complemented
115#16837645C2211yescharacteristic, complemented
116#16837639C2211yescharacteristic, complemented
117#16837638C2211yescharacteristic, complemented
118#16837637C2211yescharacteristic, complemented
119#16837637C2211yescharacteristic, complemented
120#16837636C2211yescharacteristic, complemented
121#16837636C2211yescharacteristic, complemented
122#16837635C2211yescharacteristic, complemented
123#16837627C2211yescharacteristic, complemented
124#16837626C2211yescharacteristic, complemented
125#16837625C2211yescharacteristic, complemented
126#16837624C2211yescharacteristic, complemented
127#16837623C2211yescharacteristic, complemented
128#16837622C2211yescharacteristic, complemented
129#16837621C2211yescharacteristic, complemented
130#16837598C2211yescharacteristic, complemented
131#16837597C2211yescharacteristic, complemented
132#16837596C2211yescharacteristic, complemented
133#16837596C2211yescharacteristic, complemented
134#16837595C2211yescharacteristic, complemented
135#16837595C2211yescharacteristic, complemented
136#16837594C2211yescharacteristic, complemented
137#16837567C2211yescharacteristic, complemented
138#16837566C2211yescharacteristic, complemented
139#16837565C2211yescharacteristic, complemented
140#16837564C2211yescharacteristic, complemented
141#16837563C2211yescharacteristic, complemented
142#16837562C2211yescharacteristic, complemented
143#16837561C2211yescharacteristic, complemented
144#16837550C2211yescharacteristic, complemented
145#16837550C2211yescharacteristic, complemented
146#16837549C2211yescharacteristic, complemented
147#16837549C2211yescharacteristic, complemented
148#16837548C2211yescharacteristic, complemented
149#16837548C2211yescharacteristic, complemented
150#16837547C2211yescharacteristic, complemented
151#16837547C2211yescharacteristic, complemented
152#16837546C2211yescharacteristic, complemented
153#16837546C2211yescharacteristic, complemented
154#16837545C2211yescharacteristic, complemented
155#16837545C2211yescharacteristic, complemented
156#16837544C2211yescharacteristic, complemented
157#16837544C2211yescharacteristic, complemented
158#16837538C2211yescharacteristic, complemented
159#16837537C2211yescharacteristic, complemented
160#16837537C2211yescharacteristic, complemented
161#16837536C2211yescharacteristic, complemented
162#16837535C2211yescharacteristic, complemented
163#16837534C2211yescharacteristic, complemented
164#16837534C2211yescharacteristic, complemented
165#16837505C2211yescharacteristic, complemented
166#16837504C2211yescharacteristic, complemented
167#16837503C2211yescharacteristic, complemented
168#16837502C2211yescharacteristic, complemented
169#16837501C2211yescharacteristic, complemented
170#16837500C2211yescharacteristic, complemented
171#16837499C2211yescharacteristic, complemented
172#16837476C2211yescharacteristic, complemented
173#16837475C2211yescharacteristic, complemented
174#16837474C2211yescharacteristic, complemented
175#16837473C2211yescharacteristic, complemented
176#16837472C2211yescharacteristic, complemented
177#16837471C2211yescharacteristic, complemented
178#16837470C2211yescharacteristic, complemented
179#107×D59C2211yescharacteristic, complemented
180C4⋊C8×D59C2211yescharacteristic, complemented
181#103×D59C2211yescharacteristic, complemented
182#103×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic
184#102×D59C2211yescharacteristic
185#102×D59C2211yescharacteristic, complemented
186#102×D59C2211yescharacteristic, complemented
187C22⋊C8×D59C2211yescharacteristic
188C22⋊C8×D59C2211yescharacteristic, complemented
189#97×D59C2211yescharacteristic, complemented
190C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
191C2×#135×C59C2211yescharacteristic, complemented
192C59×#550C2211yescharacteristic, complemented
193C59×#546C2211yescharacteristic, complemented
194C59×#496C2211yescharacteristic, complemented
195C59×#468C2211yescharacteristic, complemented
196C59×#466C2211yescharacteristic, complemented
197C59×#464C2211yescharacteristic, complemented
198C59×#459C2211yescharacteristic, complemented
199C59×#452C2211yescharacteristic, complemented
200C59×#449C2211yescharacteristic, complemented
201C59×#449C2211yescharacteristic, complemented
202C59×#447C2211yescharacteristic, complemented
203C59×#440C2211yescharacteristic, complemented
204C59×#435C2211yescharacteristic, complemented
205C24×D59—21no—
206C2×#11745689C2311yescharacteristic
207C2×#11745689C2311yescharacteristic
208C2×#11745689C2311yescharacteristic, complemented
209C2×#11745685—21no—
210C2×#11745685—21no—
211C2×#11745685—21no—
212C2×#11745685C2311yescharacteristic
213C2×#11745685C2311yescharacteristic
214C2×#11745685C2311yescharacteristic, complemented
215C2×#11745687—21no—
216C2×#11745687—21no—
217C2×#11745687—21no—
218C2×#11745687C2311yescharacteristic
219C2×#11745687C2311yescharacteristic
220C2×#11745687C2311yescharacteristic, complemented
221#41×D59—24no—
222#41×D59—24no—
223#41×D59—24no—
224#41×D59—42no—
225#41×D59—42no—
226#41×D59—42no—
227C2×Q8×D59C2311yescharacteristic
228C2×Q8×D59C2311yescharacteristic
229C22×D236C2311yescharacteristic
230C22×C22⋊D59—21no—
231C2×D4×D59—24no—
232C2×D4×D59—21no—
233C2×D4×D59—21no—
234C2×D4×D59—21no—
235C2×D4×D59—21no—
236C2×D4×D59—21no—
237C2×D4×D59—21no—
238C2×D4×D59—21no—
239C2×D4×D59—21no—
240C2×D4×D59—21no—
241C2×D4×D59—21no—
242C2×D4×D59—42no—
243C2×D4×D59D411yescharacteristic
244C2×D4×D59C2311yescharacteristic
245C2×D4×D59C2311yescharacteristic
246C2×D4×D59C2311yescharacteristic
247C2×D4×D59C2311yescharacteristic
248C2×D4×D59C2311yescharacteristic
249C2×D4×D59C2311yescharacteristic
250C22×C4×D59—21no—
251C22×C4×D59—21no—
252C22×C4×D59—21no—
253C22×C4×D59—21no—
254C22×C4×D59C2311yescharacteristic
255C22×C4×D59C2311yescharacteristic
256#14273755—24no—
257#14273754—24no—
258#14273754—24no—
259#14273753—24no—
260#14273752—24no—
261#14273751—24no—
262#14273751—24no—
263#14273750—24no—
264#14273749—24no—
265#14273748—24no—
266#14273748—24no—
267#14273747—24no—
268#14273747—24no—
269#14273746—24no—
270C2×Dic236C2311yescharacteristic, complemented
271C2×#11745672C2311yescharacteristic, complemented
272C2×#11745672C2311yescharacteristic, complemented
273Q16×D59—24no—
274C2×#11745660C2311yescharacteristic
275C2×#11745660C2311yescharacteristic
276C2×#11745660C2311yescharacteristic, complemented
277C2×#11745660C2311yescharacteristic, complemented
278C2×#11745670C2311yescharacteristic
279C2×#11745670C2311yescharacteristic
280C2×#11745670C2311yescharacteristic, complemented
281C2×#11745670C2311yescharacteristic, complemented
282C2×#11745671C2311yescharacteristic
283C2×#11745671C2311yescharacteristic
284C2×#11745671C2311yescharacteristic, complemented
285C2×#11745671C2311yescharacteristic, complemented
286SD16×D59—24no—
287SD16×D59—24no—
288SD16×D59—42no—
289SD16×D59D418yescomplemented
290C2×D472C2311yescharacteristic
291C2×D472C2311yescharacteristic
292C2×D472C2311yescharacteristic
293C2×D472C2311yescharacteristic
294C2×#11745669C2311yescharacteristic
295C2×#11745669C2311yescharacteristic
296C2×#11745669C2311yescharacteristic
297C2×#11745669C2311yescharacteristic
298C2×#11745669C2311yescharacteristic
299C2×#11745669C2311yescharacteristic
300C2×#11745669C2311yescharacteristic
301C2×#11745669C2311yescharacteristic
302D8×D59—24no—
303D8×D59—24no—
304D8×D59—24no—
305D8×D59—42no—
306C2×#11745664C2311yescharacteristic
307C2×#11745659C2311yescharacteristic
308C2×#11745659C2311yescharacteristic
309M16×D59—24no—
310C22×C59⋊C8C2311yescharacteristic, complemented
311C2×C8×D59—24no—
312C2×C8×D59C2311yescharacteristic
313C2×C8×D59C2311yescharacteristic
314C2×C8×D59C2311yescharacteristic
315C2×C8×D59C2311yescharacteristic
316C2×C8×D59C2311yescharacteristic, complemented
317C2×C8×D59C2311yescharacteristic, complemented
318#14273724—21no—
319#14273724C2311yescharacteristic, complemented
320#14273723—21no—
321#14273723—21no—
322#14273723—21no—
323#14273723—21no—
324#14273723—21no—
325#14273723—21no—
326#14273723—21no—
327#14273723—21no—
328#14273723C2311yescharacteristic, complemented
329#14273723C2311yescharacteristic, complemented
330#14273716C2311yescharacteristic
331#14273715C2311yescharacteristic
332#14273714C2311yescharacteristic
333#14273713—21no—
334#14273713—21no—
335#14273712—21no—
336#14273712—21no—
337#14273711—21no—
338#14273710—21no—
339#14273709—21no—
340#14273709—21no—
341#14273708—21no—
342#14273707C2311yescharacteristic
343#14273706C2311yescharacteristic
344#14273705—21no—
345#14273704—21no—
346#14273703C2311yescharacteristic
347#14273702—21no—
348#14273702—21no—
349#14273702—21no—
350#14273702C2311yescharacteristic
351#14273702C2311yescharacteristic
352#14273702C2311yescharacteristic, complemented
353#14273701—21no—
354#14273701—21no—
355#14273701—21no—
356#14273701C2311yescharacteristic
357#14273701C2311yescharacteristic
358#14273701C2311yescharacteristic, complemented
359#14273700—21no—
360#14273700—21no—
361#14273700—21no—
362#14273700—21no—
363#14273700—21no—
364#14273700—21no—
365#14273700—21no—
366#14273700—21no—
367#14273700—21no—
368#14273699—21no—
369#14273699—21no—
370#14273699—21no—
371#14273699—21no—
372#14273699—21no—
373#14273699—21no—
374#14273699—21no—
375#14273699—21no—
376#14273699—21no—
377#14273698—21no—
378#14273698—21no—
379#14273698—21no—
380#14273698C2311yescharacteristic
381#14273698C2311yescharacteristic
382#14273698C2311yescharacteristic, complemented
383#14273697—21no—
384#14273697—21no—
385#14273697—21no—
386#14273696—21no—
387#14273695—21no—
388#14273695—21no—
389#14273695—21no—
390Q8×Dic59C2311yescharacteristic, complemented
391C4×Dic118—21no—
392C4×Dic118C2311yescharacteristic, complemented
393#14273692—21no—
394#14273692C2311yescharacteristic, complemented
395C4×D236—21no—
396C4×D236C2311yescharacteristic
397C4×D236C2311yescharacteristic
398D4×Dic59—21no—
399D4×Dic59D411yescharacteristic
400D4×Dic59C2311yescharacteristic
401#14273689—21no—
402#14273689D411yescharacteristic
403#14273689C2311yescharacteristic
404C4×C22⋊D59—21no—
405C4×C22⋊D59—21no—
406C4×C22⋊D59—21no—
407C4×C22⋊D59C2311yescharacteristic
408C4×C22⋊D59C2311yescharacteristic
409(C22⋊D59)⋊C4—21no—
410(C22⋊D59)⋊C4—21no—
411(C22⋊D59)⋊C4—21no—
412(C22⋊D59)⋊C4D411yescharacteristic
413(C22⋊D59)⋊C4D411yescharacteristic
414C4⋊C4×D59—21no—
415C4⋊C4×D59—21no—
416C4⋊C4×D59D411yescharacteristic
417C4⋊C4×D59C2311yescharacteristic
418C4⋊C4×D59C2311yescharacteristic
419C2×C22⋊Dic59—21no—
420C2×(C2×D59)⋊C4—21no—
421C2×(C2×D59)⋊C4—21no—
422C22⋊C4×D59—21no—
423C22⋊C4×D59—21no—
424C22⋊C4×D59—21no—
425C22⋊C4×D59—21no—
426C22⋊C4×D59—21no—
427C22⋊C4×D59—21no—
428C22⋊C4×D59—21no—
429C22⋊C4×D59—21no—
430C22⋊C4×D59—21no—
431C22⋊C4×D59—21no—
432C22⋊C4×D59—21no—
433C22⋊C4×D59D411yescharacteristic
434C22⋊C4×D59D411yescharacteristic
435C42×D59—21no—
436C42×D59C2311yescharacteristic
437#14273661C2311yescharacteristic, complemented
438#14273660C2311yescharacteristic, complemented
439#14273660C2311yescharacteristic, complemented
440C4⋊(C59⋊C8)C2311yescharacteristic, complemented
441Dic59⋊C8C2311yescharacteristic, complemented
442Dic59⋊C8C2311yescharacteristic, complemented
443#14273652C2311yescharacteristic, complemented
444#14273652C2311yescharacteristic, complemented
445#14273651C2311yescharacteristic, complemented
446#14273651C2311yescharacteristic, complemented
447#14273650C2311yescharacteristic, complemented
448#14273650C2311yescharacteristic, complemented
449#14273649C2311yescharacteristic
450#14273649C2311yescharacteristic
451#14273649C2311yescharacteristic, complemented
452#14273649C2311yescharacteristic, complemented
453#14273648C2311yescharacteristic
454#14273648C2311yescharacteristic
455#14273648C2311yescharacteristic, complemented
456#14273648C2311yescharacteristic, complemented
457#14273647C2311yescharacteristic
458#14273647C2311yescharacteristic
459#14273647C2311yescharacteristic, complemented
460#14273647C2311yescharacteristic, complemented
461C22⋊(C59⋊C8)C2311yescharacteristic
462C22⋊(C59⋊C8)C2311yescharacteristic, complemented
463(C2×D59)⋊C8C2311yescharacteristic
464(C2×D59)⋊C8C2311yescharacteristic
465(C2×D59)⋊C8C2311yescharacteristic, complemented
466(C2×D59)⋊C8C2311yescharacteristic, complemented
467#14273638C2311yescharacteristic, complemented
468#14273637C2311yescharacteristic, complemented
469#14273637C2311yescharacteristic, complemented
470C2×#41×C59C2311yescharacteristic
471C2×#41×C59C2311yescharacteristic
472C2×#41×C59C2311yescharacteristic, complemented
473C22×D4×C59C2311yescharacteristic
474AGL(1,ℤ/8)×C59—24no—
475#135×C59—24no—
476C2×Q16×C59C2311yescharacteristic, complemented
477C2×SD16×C59C2311yescharacteristic
478C2×SD16×C59C2311yescharacteristic
479C2×SD16×C59C2311yescharacteristic, complemented
480C2×SD16×C59C2311yescharacteristic, complemented
481C2×D8×C59C2311yescharacteristic
482C2×D8×C59C2311yescharacteristic
483C2×D8×C59C2311yescharacteristic
484C2×D8×C59C2311yescharacteristic
485C2×M16×C59C2311yescharacteristic
486C22×C8×C59C2311yescharacteristic, complemented
487#127×C59—21no—
488#127×C59C2311yescharacteristic, complemented
489#124×C59C2311yescharacteristic
490#123×C59—21no—
491C22⋊Q8×C59C2311yescharacteristic
492#121×C59—21no—
493#121×C59—21no—
494#121×C59—21no—
495#121×C59C2311yescharacteristic
496#121×C59C2311yescharacteristic
497#121×C59C2311yescharacteristic, complemented
498#120×C59—21no—
499C4×Q8×C59C2311yescharacteristic, complemented
500C4×D4×C59—21no—
501C4×D4×C59C2311yescharacteristic
502C4×D4×C59C2311yescharacteristic
503C2×C22⋊C4×C59—21no—
504#107×C59C2311yescharacteristic, complemented
505C4⋊C8×C59C2311yescharacteristic, complemented
506#103×C59C2311yescharacteristic, complemented
507#103×C59C2311yescharacteristic, complemented
508#102×C59C2311yescharacteristic
509#102×C59C2311yescharacteristic
510#102×C59C2311yescharacteristic, complemented
511#102×C59C2311yescharacteristic, complemented
512C22⋊C8×C59C2311yescharacteristic
513C22⋊C8×C59C2311yescharacteristic, complemented
514#97×C59C2311yescharacteristic, complemented
515C24×C59—21no—
516C23×D59—21no—
517C23×D59—21no—
518C23×D59—21no—
519C23×D59—21no—
520C23×D59—21no—
521C23×D59—21no—
522C23×D59—21no—
523C23×D59—44no—
524C23×D59—44no—
525C23×D59—82no—
526C23×D59C2×D411yescharacteristic
527C23×D59C2×D411yescharacteristic
528#41×C59—22no—
529#41×C59—22no—
530#41×C59—22no—
531#41×C59—41no—
532#41×C59—41no—
533#41×C59—41no—
534C2×Q8×C59C2411yescharacteristic
535C2×Q8×C59C2411yescharacteristic
536C2×D4×C59—22no—
537C2×D4×C59—21no—
538C2×D4×C59—21no—
539C2×D4×C59—21no—
540C2×D4×C59—21no—
541C2×D4×C59—21no—
542C2×D4×C59—21no—
543C2×D4×C59—21no—
544C2×D4×C59—21no—
545C2×D4×C59—21no—
546C2×D4×C59—41no—
547C2×D4×C59C2×D411yescharacteristic
548C2×D4×C59C2411yescharacteristic
549C2×D4×C59C2411yescharacteristic
550C2×D4×C59C2411yescharacteristic
551C2×D4×C59C2411yescharacteristic
552C22×C4×C59—21no—
553C22×C4×C59—21no—
554C22×C4×C59—21no—
555C22×C4×C59—21no—
556C22×C4×C59C2411yescharacteristic
557C22×C4×C59C2411yescharacteristic
558C2×C22⋊D59—21no—
559C2×C22⋊D59—21no—
560C2×C22⋊D59—21no—
561C2×C22⋊D59—21no—
562C2×C22⋊D59—21no—
563C2×C22⋊D59—21no—
564C2×C22⋊D59—21no—
565C2×C22⋊D59—21no—
566C2×C22⋊D59—21no—
567C2×C22⋊D59—21no—
568C2×C22⋊D59—21no—
569C2×C22⋊D59—21no—
570C2×C22⋊D59—21no—
571C2×C22⋊D59—21no—
572C2×C22⋊D59—21no—
573C2×C22⋊D59—21no—
574C2×C22⋊D59—21no—
575C2×C22⋊D59—21no—
576C2×C22⋊D59—21no—
577C2×C22⋊D59—21no—
578C2×C22⋊D59—21no—
579C2×C22⋊D59—21no—
580C2×C22⋊D59—44no—
581C2×C22⋊D59C2×D411yescharacteristic
582C2×C22⋊D59C2×D411yescharacteristic
583C22×Dic59—21no—
584C22×Dic59—21no—
585C22×Dic59—21no—
586C22×Dic59—21no—
587C22×Dic59C2×D411yescharacteristic
588C22×Dic59C2×D411yescharacteristic
589#11745689—22no—
590#11745689—22no—
591#11745689—22no—
592#11745689—41no—
593#11745689—41no—
594#11745689—41no—
595Q8×D59—22no—
596Q8×D59—22no—
597Q8×D59—22no—
598Q8×D59C2×D414yes—
599#11745687—22no—
600#11745687—22no—
601#11745687—22no—
602#11745687—41no—
603#11745687—41no—
604#11745687—41no—
605#11745687—44no—
606#11745687—44no—
607#11745687—44no—
608D4×D59—22no—
609D4×D59—22no—
610D4×D59—22no—
611D4×D59—22no—
612D4×D59—22no—
613D4×D59—22no—
614D4×D59—22no—
615D4×D59—22no—
616D4×D59—22no—
617D4×D59—41no—
618D4×D59—41no—
619D4×D59—44no—
620D4×D59—42no—
621D4×D59—44no—
622D4×D59—44no—
623D4×D59—44no—
624D4×D59—44no—
625D4×D59—44no—
626D4×D59—82no—
627D4×D59—82no—
628D4×D59—82no—
629D4×D59—82no—
630D4×D59C2×D414yes—
631#11745685—22no—
632#11745685—22no—
633#11745685—22no—
634#11745685—44no—
635#11745685—44no—
636#11745685—41no—
637#11745685—41no—
638#11745685—41no—
639#11745685—44no—
640C2×D236—22no—
641C2×D236—21no—
642C2×D236—21no—
643C2×D236—21no—
644C2×D236—21no—
645C2×D236—21no—
646C2×D236—21no—
647C2×D236—21no—
648C2×D236—21no—
649C2×D236—21no—
650C2×D236—41no—
651C2×D236C2×D411yescharacteristic
652C2×D236C2411yescharacteristic
653C2×D236C2411yescharacteristic
654C2×D236C2411yescharacteristic
655C2×D236C2411yescharacteristic
656C2×C4×D59—21no—
657C2×C4×D59—22no—
658C2×C4×D59—22no—
659C2×C4×D59—22no—
660C2×C4×D59—22no—
661C2×C4×D59—21no—
662C2×C4×D59—21no—
663C2×C4×D59—21no—
664C2×C4×D59—21no—
665C2×C4×D59—21no—
666C2×C4×D59—21no—
667C2×C4×D59—21no—
668C2×C4×D59—21no—
669C2×C4×D59—21no—
670C2×C4×D59—21no—
671C2×C4×D59—21no—
672C2×C4×D59—44no—
673C2×C4×D59—44no—
674C2×C4×D59—44no—
675C2×C4×D59—82no—
676C2×C4×D59C2×D411yescharacteristic
677C2×C4×D59C2×D411yescharacteristic
678C2×C4×D59C2×D411yescharacteristic
679C2×C4×D59C2×D411yescharacteristic
680C2×C4×D59C2×D411yescharacteristic
681C2×C4×D59C2×D411yescharacteristic
682C2×C4×D59C2411yescharacteristic
683C2×C4×D59C2411yescharacteristic
684C2×C4×D59C2411yescharacteristic
685C2×Dic118—21no—
686C2×Dic118—21no—
687C2×Dic118C2411yescharacteristic
688C2×Dic118C2411yescharacteristic
689Q16×C59—22no—
690SD16×C59—22no—
691SD16×C59—22no—
692SD16×C59—41no—
693SD16×C59C2×D414yescomplemented
694D8×C59—22no—
695D8×C59—22no—
696D8×C59—22no—
697D8×C59—41no—
698M16×C59—22no—
699C2×C8×C59—22no—
700C2×C8×C59C2411yescharacteristic
701C2×C8×C59C2411yescharacteristic
702C2×C8×C59C2411yescharacteristic
703C2×C8×C59C2411yescharacteristic
704C4⋊C4×C59—21no—
705C4⋊C4×C59—21no—
706C4⋊C4×C59C2×D411yescharacteristic
707C4⋊C4×C59C2411yescharacteristic
708C4⋊C4×C59C2411yescharacteristic
709C22⋊C4×C59—21no—
710C22⋊C4×C59—21no—
711C22⋊C4×C59—21no—
712C22⋊C4×C59—21no—
713C22⋊C4×C59—21no—
714C22⋊C4×C59—21no—
715C22⋊C4×C59—21no—
716C22⋊C4×C59C2×D411yescharacteristic
717C22⋊C4×C59C2×D411yescharacteristic
718C42×C59—21no—
719C42×C59C2411yescharacteristic
720C22⋊Dic59—21no—
721C22⋊Dic59—21no—
722C22⋊Dic59—21no—
723C22⋊Dic59—21no—
724C22⋊Dic59—21no—
725C22⋊Dic59—21no—
726C22⋊Dic59—21no—
727C22⋊Dic59C2×D411yescharacteristic
728C22⋊Dic59C2×D411yescharacteristic
729#11745672—22no—
730#11745672—22no—
731#11745671—22no—
732#11745671—22no—
733#11745671—41no—
734#11745671C2×D414yescomplemented
735#11745670—22no—
736#11745670—22no—
737#11745670—41no—
738#11745670C2×D414yescomplemented
739#11745669—22no—
740#11745669—22no—
741#11745669—22no—
742#11745669—22no—
743#11745669—22no—
744#11745669—22no—
745#11745669—41no—
746#11745669—41no—
747(C2×D59)⋊C4—21no—
748(C2×D59)⋊C4—21no—
749(C2×D59)⋊C4—21no—
750(C2×D59)⋊C4—21no—
751(C2×D59)⋊C4—21no—
752(C2×D59)⋊C4—21no—
753(C2×D59)⋊C4—21no—
754(C2×D59)⋊C4—21no—
755(C2×D59)⋊C4—21no—
756(C2×D59)⋊C4—21no—
757(C2×D59)⋊C4—21no—
758(C2×D59)⋊C4—21no—
759(C2×D59)⋊C4—21no—
760(C2×D59)⋊C4—21no—
761(C2×D59)⋊C4C2×D411yescharacteristic
762(C2×D59)⋊C4C2×D411yescharacteristic
763(C2×D59)⋊C4C2×D411yescharacteristic
764(C2×D59)⋊C4C2×D411yescharacteristic
765C4⋊Dic59—21no—
766C4⋊Dic59—21no—
767C4⋊Dic59C2×D411yescharacteristic
768C4⋊Dic59C2411yescharacteristic
769C4⋊Dic59C2411yescharacteristic
770Dic59⋊C4—21no—
771Dic59⋊C4—21no—
772Dic59⋊C4—21no—
773Dic59⋊C4—21no—
774Dic59⋊C4—21no—
775Dic59⋊C4—21no—
776Dic59⋊C4C2×D411yescharacteristic
777Dic59⋊C4C2×D411yescharacteristic
778C4×Dic59—21no—
779C4×Dic59—21no—
780C4×Dic59—21no—
781C4×Dic59C2×D411yescharacteristic
782C4×Dic59C2×D411yescharacteristic
783C4×Dic59C2411yescharacteristic
784#11745664—22no—
785C2×C59⋊C8—22no—
786C2×C59⋊C8C2411yescharacteristic
787C2×C59⋊C8C2411yescharacteristic
788C2×C59⋊C8C2411yescharacteristic
789C2×C59⋊C8C2411yescharacteristic
790Dic236—22no—
791D472—22no—
792D472—22no—
793D472—22no—
794D472—41no—
795#11745660—22no—
796#11745660—22no—
797#11745660—41no—
798#11745660C2×D414yescomplemented
799#11745659—22no—
800#11745659—22no—
801C8×D59—22no—
802C8×D59—22no—
803C8×D59—22no—
804C8×D59—22no—
805C8×D59—22no—
806C8×D59C2×D414yes—
807C23×C59—21no—
808C23×C59—21no—
809C23×C59—21no—
810C23×C59—21no—
811C23×C59—42no—
812C23×C59—42no—
813C23×C59—81no—
814C23×C59C22×D411yescharacteristic
815C23×C59C22×D411yescharacteristic
816C22×D59—21no—
817C22×D59—22no—
818C22×D59—22no—
819C22×D59—24no—
820C22×D59—22no—
821C22×D59—22no—
822C22×D59—22no—
823C22×D59—22no—
824C22×D59—21no—
825C22×D59—21no—
826C22×D59—21no—
827C22×D59—42no—
828C22×D59—42no—
829C22×D59—42no—
830C22×D59—42no—
831C22×D59—42no—
832C22×D59—42no—
833C22×D59—42no—
834C22×D59—42no—
835C22×D59—42no—
836C22×D59—42no—
837C22×D59—42no—
838C22×D59—42no—
839C22×D59—42no—
840C22×D59—42no—
841C22×D59—42no—
842C22×D59—42no—
843C22×D59—42no—
844C22×D59—81no—
845C22×D59—81no—
846C22×D59—81no—
847C22×D59—816no—
848C22×D59C22×D411yescharacteristic
849C22×D59C22×D411yescharacteristic
850C22×D59C22×D411yescharacteristic
851Q8×C59—21no—
852Q8×C59—21no—
853Q8×C59—21no—
854Q8×C59C22×D412yes—
855D4×C59—21no—
856D4×C59—21no—
857D4×C59—21no—
858D4×C59—21no—
859D4×C59—21no—
860D4×C59—21no—
861D4×C59—21no—
862D4×C59—41no—
863D4×C59—42no—
864D4×C59—42no—
865D4×C59—42no—
866D4×C59—42no—
867D4×C59—42no—
868D4×C59—81no—
869D4×C59—81no—
870D4×C59—81no—
871D4×C59—81no—
872D4×C59C22×D412yes—
873C2×C4×C59—21no—
874C2×C4×C59—21no—
875C2×C4×C59—21no—
876C2×C4×C59—21no—
877C2×C4×C59—21no—
878C2×C4×C59—21no—
879C2×C4×C59—21no—
880C2×C4×C59—21no—
881C2×C4×C59—42no—
882C2×C4×C59—42no—
883C2×C4×C59—42no—
884C2×C4×C59—81no—
885C2×C4×C59C22×D411yescharacteristic
886C2×C4×C59C22×D411yescharacteristic
887C2×C4×C59C22×D411yescharacteristic
888C2×C4×C59C22×D411yescharacteristic
889C2×C4×C59C2511yescharacteristic
890C22⋊D59—24no—
891C22⋊D59—41no—
892C22⋊D59—41no—
893C22⋊D59—42no—
894C22⋊D59—42no—
895C22⋊D59—42no—
896C22⋊D59—42no—
897C22⋊D59—42no—
898C22⋊D59—42no—
899C22⋊D59—42no—
900C22⋊D59—42no—
901C22⋊D59—42no—
902C22⋊D59—42no—
903C22⋊D59—42no—
904C22⋊D59—42no—
905C22⋊D59—42no—
906C22⋊D59—81no—
907C22⋊D59—81no—
908C22⋊D59—81no—
909C22⋊D59—81no—
910C22⋊D59—81no—
911C22⋊D59—81no—
912C22⋊D59—81no—
913C22⋊D59—81no—
914C2×Dic59—21no—
915C2×Dic59—22no—
916C2×Dic59—22no—
917C2×Dic59—21no—
918C2×Dic59—21no—
919C2×Dic59—21no—
920C2×Dic59—42no—
921C2×Dic59—42no—
922C2×Dic59—42no—
923C2×Dic59—81no—
924C2×Dic59C22×D411yescharacteristic
925C2×Dic59C22×D411yescharacteristic
926C2×Dic59C22×D411yescharacteristic
927C2×Dic59C22×D411yescharacteristic
928C2×Dic59C22×D411yescharacteristic
929D236—21no—
930D236—21no—
931D236—21no—
932D236—21no—
933D236—21no—
934D236—21no—
935D236—21no—
936D236—41no—
937D236—42no—
938D236—42no—
939D236—42no—
940D236—42no—
941D236—42no—
942D236—81no—
943D236—81no—
944D236—81no—
945D236—81no—
946D236C22×D412yes—
947C4×D59—22no—
948C4×D59—22no—
949C4×D59—24no—
950C4×D59—22no—
951C4×D59—22no—
952C4×D59—21no—
953C4×D59—21no—
954C4×D59—21no—
955C4×D59—21no—
956C4×D59—22no—
957C4×D59—22no—
958C4×D59—42no—
959C4×D59—42no—
960C4×D59—42no—
961C4×D59—42no—
962C4×D59—42no—
963C4×D59—42no—
964C4×D59—42no—
965C4×D59—42no—
966C4×D59—42no—
967C4×D59—81no—
968C4×D59—81no—
969C4×D59C22×D412yes—
970C4×D59H(5,𝔽2)12yes—
971Dic118—21no—
972Dic118—24no—
973Dic118—21no—
974Dic118—21no—
975Dic118—42no—
976Dic118C22×D412yes—
977C8×C59—21no—
978C8×C59—21no—
979C8×C59—21no—
980C8×C59C22×D412yes—
981C59⋊C8—21no—
982C59⋊C8—21no—
983C59⋊C8—21no—
984C59⋊C8C22×D412yes—
985C2×#3268—591nomaximal, Sylow
986C22×C59—21no—
987C22×C59—21no—
988C22×C59—22no—
989C22×C59—21no—
990C22×C59—21no—
991C22×C59—21no—
992C22×C59—21no—
993C22×C59—41no—
994C22×C59—41no—
995C22×C59—41no—
996C22×C59—41no—
997C22×C59—41no—
998C22×C59—41no—
999C22×C59—41no—
1000C22×C59—41no—
1001C22×C59—41no—
1002C22×C59—41no—
1003C22×C59—41no—
1004C22×C59—84no—
1005C22×C59C23×D411yescharacteristic
1006C2×D59—21no—
1007C2×D59—21no—
1008C2×D59—22no—
1009C2×D59—21no—
1010C2×D59—21no—
1011C2×D59—21no—
1012C2×D59—21no—
1013C2×D59—41no—
1014C2×D59—41no—
1015C2×D59—44no—
1016C2×D59—44no—
1017C2×D59—48no—
1018C2×D59—41no—
1019C2×D59—41no—
1020C2×D59—41no—
1021C2×D59—41no—
1022C2×D59—41no—
1023C2×D59—41no—
1024C2×D59—41no—
1025C2×D59—41no—
1026C2×D59—41no—
1027C2×D59—84no—
1028C2×D59—84no—
1029C2×D59—84no—
1030C2×D59—84no—
1031C2×D59—84no—
1032C2×D59—84no—
1033C2×D59D4212yes—
1034C2×D59#57512yes—
1035C2×D59#57612yes—
1036C4×C59—22no—
1037C4×C59—21no—
1038C4×C59—21no—
1039C4×C59—21no—
1040C4×C59—21no—
1041C4×C59—41no—
1042C4×C59—41no—
1043C4×C59—41no—
1044C4×C59C23×D411yescharacteristic
1045C4×C59C2×H(5,𝔽2)11yescharacteristic
1046Dic59—22no—
1047Dic59—21no—
1048Dic59—21no—
1049Dic59—21no—
1050Dic59—21no—
1051Dic59—41no—
1052Dic59—41no—
1053Dic59—41no—
1054Dic59D4212yes—
1055C22×AGL(1,ℤ/8)—591no—
1056C22×#135—591no—
1057C2×#550—591no—
1058C2×#546—591no—
1059#3268—591no—
1060#3268—591no—
1061#3268—591no—
1062#3268—591no—
1063#3268—591no—
1064#3268—591no—
1065#3268—591no—
1066#3268—591no—
1067#3268—591no—
1068#3268—591no—
1069#3268—591no—
1070#3268—591no—
1071#3268—591no—
1072#3268—591no—
1073#3268—591no—
1074#3268D5911yescharacteristic, direct product factor
1075C2×#496—591no—
1076C2×#468—591no—
1077C2×#466—591no—
1078C2×#464—591no—
1079C2×#459—591no—
1080C2×#452—591no—
1081C2×#449—591no—
1082C2×#449—591no—
1083C2×#447—591no—
1084C2×#440—591no—
1085C2×#435—591no—
1086C2×C59—41no—
1087C2×C59—42no—
1088C2×C59—41no—
1089C2×C59—81no—
1090C2×C59—81no—
1091C2×C59—81no—
1092C2×C59C2×D4211yescharacteristic
1093C2×C59C2×#57511yescharacteristic
1094C2×C59C2×#57611yescharacteristic
1095D59—41no—
1096D59—41no—
1097D59—42no—
1098D59—81no—
1099D59—81no—
1100D59—81no—
1101D59#326814yesdirect product factor
1102C22×#41—591no—
1103C22×#41—591no—
1104C22×#41—591no—
1105C23×D4—591no—
1106C2×AGL(1,ℤ/8)—591no—
1107C2×AGL(1,ℤ/8)—591no—
1108C2×AGL(1,ℤ/8)—591no—
1109C2×AGL(1,ℤ/8)—591no—
1110C2×AGL(1,ℤ/8)—591no—
1111C2×AGL(1,ℤ/8)—591no—
1112C2×AGL(1,ℤ/8)—591no—
1113C2×AGL(1,ℤ/8)—1188no—
1114C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
1115C2×#135—591no—
1116C2×#135—591no—
1117C2×#135—591no—
1118C2×#135—591no—
1119C2×#135—591no—
1120C2×#135—591no—
1121C2×#135—591no—
1122C2×#135—1188no—
1123C2×#135C2×D5911yescharacteristic, complemented
1124C22×Q16—591no—
1125C22×SD16—591no—
1126C22×SD16—591no—
1127C22×SD16—591no—
1128C22×SD16—591no—
1129C22×D8—591no—
1130C22×D8—591no—
1131C22×D8—591no—
1132C22×D8—591no—
1133C22×M16—591no—
1134C23×C8—591no—
1135#550—591no—
1136#550—591no—
1137#550—591no—
1138#550—591no—
1139#550—591no—
1140#550—591no—
1141#550—591no—
1142#550—1181no—
1143#550—1181no—
1144#550—1181no—
1145#550—1181no—
1146#550C2×D5911yescharacteristic, complemented
1147#546—591no—
1148#546—591no—
1149#546—591no—
1150#546—591no—
1151#546—591no—
1152#546—591no—
1153#546—591no—
1154#546—1181no—
1155#546—1181no—
1156#546—1181no—
1157#546—1181no—
1158#546C2×D5911yescharacteristic, complemented
1159C2×#127—591no—
1160C2×#127—1181no—
1161C2×#124—591no—
1162C2×#123—1181no—
1163C2×C22⋊Q8—591no—
1164C2×#121—591no—
1165C2×#121—591no—
1166C2×#121—591no—
1167C2×#121—1181no—
1168C2×#121—1181no—
1169C2×#121—1181no—
1170C2×#120—1181no—
1171C2×C4×Q8—591no—
1172C2×C4×D4—591no—
1173C2×C4×D4—591no—
1174C2×C4×D4—1181no—
1175C22×C22⋊C4—1181no—
1176#496—591no—
1177#496—591no—
1178#496—591no—
1179#496—591no—
1180#496—591no—
1181#496—591no—
1182#496—591no—
1183#496C2×D5911yescharacteristic, complemented
1184#468—591no—
1185#468—591no—
1186#468—591no—
1187#468—591no—
1188#468—591no—
1189#468—591no—
1190#468—591no—
1191#468C2×D5911yescharacteristic, complemented
1192#466—591no—
1193#466—591no—
1194#466—591no—
1195#466—591no—
1196#466—591no—
1197#466—591no—
1198#466—591no—
1199#466C2×D5911yescharacteristic, complemented
1200#464—591no—
1201#464—591no—
1202#464—591no—
1203#464—591no—
1204#464—591no—
1205#464—591no—
1206#464—591no—
1207#464C2×D5911yescharacteristic, complemented
1208#459—591no—
1209#459—591no—
1210#459—591no—
1211#459—591no—
1212#459—591no—
1213#459—591no—
1214#459—591no—
1215#459C2×D5911yescharacteristic, complemented
1216#452—591no—
1217#452—591no—
1218#452—591no—
1219#452—591no—
1220#452—591no—
1221#452—591no—
1222#452—591no—
1223#452C2×D5911yescharacteristic, complemented
1224#449—591no—
1225#449—591no—
1226#449—591no—
1227#449—591no—
1228#449—591no—
1229#449—591no—
1230#449—591no—
1231#449—591no—
1232#449—591no—
1233#449—591no—
1234#449—591no—
1235#449—591no—
1236#449—591no—
1237#449—591no—
1238#449C2×D5911yescharacteristic, complemented
1239#449C2×D5911yescharacteristic, complemented
1240#447—591no—
1241#447—591no—
1242#447—591no—
1243#447—591no—
1244#447—591no—
1245#447—591no—
1246#447—591no—
1247#447C2×D5911yescharacteristic, complemented
1248#440—591no—
1249#440—591no—
1250#440—591no—
1251#440—591no—
1252#440—591no—
1253#440—591no—
1254#440—591no—
1255#440C2×D5911yescharacteristic, complemented
1256#435—591no—
1257#435—591no—
1258#435—591no—
1259#435—591no—
1260#435—591no—
1261#435—591no—
1262#435—591no—
1263#435C2×D5911yescharacteristic, complemented
1264C2×#107—591no—
1265C2×C4⋊C8—591no—
1266C2×#103—591no—
1267C2×#103—591no—
1268C2×#102—591no—
1269C2×#102—591no—
1270C2×#102—591no—
1271C2×#102—591no—
1272C2×C22⋊C8—591no—
1273C2×C22⋊C8—591no—
1274C2×#97—591no—
1275C59C2×#326811yescharacteristic, complemented, Sylow
1276C25—1181no—
1277C2×#41—591no—
1278C2×#41—591no—
1279C2×#41—591no—
1280C2×#41—591no—
1281C2×#41—591no—
1282C2×#41—591no—
1283C2×#41—591no—
1284C2×#41—591no—
1285C2×#41—591no—
1286C2×#41—1181no—
1287C2×#41—1181no—
1288C2×#41—1181no—
1289C2×#41—1181no—
1290C2×#41—1181no—
1291C2×#41—1181no—
1292C2×#41—1184no—
1293C2×#41—1184no—
1294C2×#41—1184no—
1295C2×#41—2362no—
1296C2×#41—2362no—
1297C2×#41—2362no—
1298C2×#41C22×D5911yescharacteristic
1299C2×#41C22×D5911yescharacteristic
1300C2×#41C22×D5911yescharacteristic, complemented
1301C22×Q8—591no—
1302C22×Q8—591no—
1303C22×D4—591no—
1304C22×D4—591no—
1305C22×D4—591no—
1306C22×D4—591no—
1307C22×D4—591no—
1308C22×D4—591no—
1309C22×D4—591no—
1310C22×D4—591no—
1311C22×D4—1181no—
1312C22×D4—1181no—
1313C22×D4—1181no—
1314C22×D4—1181no—
1315C22×D4—1181no—
1316C22×D4—1184no—
1317C22×D4—1181no—
1318C22×D4—1181no—
1319C22×D4—1181no—
1320C22×D4—1181no—
1321C22×D4—1181no—
1322C22×D4—1181no—
1323C22×D4—2362no—
1324C22×D4C22×D5911yescharacteristic
1325C23×C4—591no—
1326C23×C4—591no—
1327C23×C4—1181no—
1328C23×C4—1181no—
1329C23×C4—1181no—
1330C23×C4—1181no—
1331AGL(1,ℤ/8)—24no—
1332AGL(1,ℤ/8)—1184no—
1333AGL(1,ℤ/8)—1184no—
1334AGL(1,ℤ/8)—1184no—
1335AGL(1,ℤ/8)—1184no—
1336AGL(1,ℤ/8)—1184no—
1337AGL(1,ℤ/8)—1184no—
1338AGL(1,ℤ/8)—1184no—
1339#135—24no—
1340#135—1184no—
1341#135—1184no—
1342#135—1184no—
1343#135—1184no—
1344#135—1184no—
1345#135—1184no—
1346#135—1184no—
1347C2×Q16—591no—
1348C2×Q16—591no—
1349C2×Q16—591no—
1350C2×Q16—1184no—
1351C2×Q16C22×D5911yescharacteristic, complemented
1352C2×SD16—591no—
1353C2×SD16—591no—
1354C2×SD16—598no—
1355C2×SD16—591no—
1356C2×SD16—591no—
1357C2×SD16—591no—
1358C2×SD16—591no—
1359C2×SD16—591no—
1360C2×SD16—591no—
1361C2×SD16—591no—
1362C2×SD16—591no—
1363C2×SD16—591no—
1364C2×SD16—591no—
1365C2×SD16—1184no—
1366C2×SD16—1184no—
1367C2×SD16—2362no—
1368C2×SD16C22×D5911yescharacteristic
1369C2×SD16C22×D5911yescharacteristic
1370C2×SD16C22×D5911yescharacteristic, complemented
1371C2×SD16C22×D5911yescharacteristic, complemented
1372C2×D8—591no—
1373C2×D8—591no—
1374C2×D8—591no—
1375C2×D8—591no—
1376C2×D8—591no—
1377C2×D8—591no—
1378C2×D8—591no—
1379C2×D8—591no—
1380C2×D8—591no—
1381C2×D8—591no—
1382C2×D8—591no—
1383C2×D8—591no—
1384C2×D8—1184no—
1385C2×D8—1184no—
1386C2×D8—1184no—
1387C2×D8—2362no—
1388C2×D8C22×D5911yescharacteristic
1389C2×D8C22×D5911yescharacteristic
1390C2×D8C22×D5911yescharacteristic
1391C2×D8C22×D5911yescharacteristic
1392C2×M16—591no—
1393C2×M16—591no—
1394C2×M16—591no—
1395C2×M16—1184no—
1396C2×M16C22×D5911yescharacteristic
1397C22×C8—591no—
1398C22×C8—591no—
1399C22×C8—591no—
1400C22×C8—591no—
1401C22×C8—591no—
1402C22×C8—591no—
1403C22×C8—591no—
1404C22×C8—1184no—
1405C22×C8C22×D5911yescharacteristic, complemented
1406#127—21no—
1407#127—591no—
1408#127—591no—
1409#127—591no—
1410#127—1181no—
1411#127—1181no—
1412#127—1181no—
1413#127—1181no—
1414#127—1181no—
1415#127—1181no—
1416#127—1181no—
1417#127—1181no—
1418#127—1181no—
1419#127C22×D5911yescharacteristic, complemented
1420#124—591no—
1421#124—591no—
1422#124—591no—
1423#124—1181no—
1424#124—1181no—
1425#124C22×D5911yescharacteristic
1426#123—21no—
1427#123—1181no—
1428#123—1181no—
1429#123—1181no—
1430#123—1181no—
1431#123—1181no—
1432#123—1181no—
1433#123—1181no—
1434C22⋊Q8—591no—
1435C22⋊Q8—591no—
1436C22⋊Q8—591no—
1437C22⋊Q8—1181no—
1438C22⋊Q8—1181no—
1439C22⋊Q8C22×D5911yescharacteristic
1440#121—21no—
1441#121—21no—
1442#121—21no—
1443#121—591no—
1444#121—591no—
1445#121—591no—
1446#121—591no—
1447#121—591no—
1448#121—591no—
1449#121—591no—
1450#121—591no—
1451#121—591no—
1452#121—1181no—
1453#121—1181no—
1454#121—1181no—
1455#121—1181no—
1456#121—1181no—
1457#121—1181no—
1458#121—1181no—
1459#121—1181no—
1460#121—1181no—
1461#121—1181no—
1462#121—1181no—
1463#121—1181no—
1464#121—1181no—
1465#121—1181no—
1466#121—1181no—
1467#121—1181no—
1468#121—1181no—
1469#121—1181no—
1470#121—1181no—
1471#121—1181no—
1472#121—1181no—
1473#121—1181no—
1474#121—1181no—
1475#121—1181no—
1476#121—1181no—
1477#121—1181no—
1478#121—1181no—
1479#121C22×D5911yescharacteristic
1480#121C22×D5911yescharacteristic
1481#121C22×D5911yescharacteristic, complemented
1482#120—21no—
1483#120—1181no—
1484#120—1181no—
1485#120—1181no—
1486#120—1181no—
1487#120—1181no—
1488#120—1181no—
1489#120—1181no—
1490C4×Q8—591no—
1491C4×Q8—591no—
1492C4×Q8—591no—
1493C4×Q8—1181no—
1494C4×Q8—1181no—
1495C4×Q8C22×D5911yescharacteristic, complemented
1496C4×D4—21no—
1497C4×D4—591no—
1498C4×D4—591no—
1499C4×D4—591no—
1500C4×D4—591no—
1501C4×D4—591no—
1502C4×D4—591no—
1503C4×D4—591no—
1504C4×D4—591no—
1505C4×D4—591no—
1506C4×D4—591no—
1507C4×D4—1181no—
1508C4×D4—1181no—
1509C4×D4—1181no—
1510C4×D4—1181no—
1511C4×D4—1181no—
1512C4×D4—1181no—
1513C4×D4—1181no—
1514C4×D4—1181no—
1515C4×D4—1181no—
1516C4×D4C22×D5911yescharacteristic
1517C4×D4C22×D5911yescharacteristic
1518C2×C4⋊C4—591no—
1519C2×C4⋊C4—591no—
1520C2×C4⋊C4—591no—
1521C2×C4⋊C4—1181no—
1522C2×C4⋊C4—1181no—
1523C2×C22⋊C4—21no—
1524C2×C22⋊C4—591no—
1525C2×C22⋊C4—591no—
1526C2×C22⋊C4—1181no—
1527C2×C22⋊C4—1181no—
1528C2×C22⋊C4—1181no—
1529C2×C22⋊C4—1181no—
1530C2×C22⋊C4—1181no—
1531C2×C22⋊C4—1181no—
1532C2×C22⋊C4—1181no—
1533C2×C22⋊C4—1181no—
1534C2×C22⋊C4—1181no—
1535C2×C22⋊C4—1181no—
1536C2×C22⋊C4—1181no—
1537C2×C22⋊C4—1181no—
1538C2×C22⋊C4—1181no—
1539C2×C22⋊C4—1181no—
1540C2×C42—591no—
1541C2×C42—1181no—
1542#107—591no—
1543#107—591no—
1544#107—591no—
1545#107C22×D5911yescharacteristic, complemented
1546C4⋊C8—591no—
1547C4⋊C8—591no—
1548C4⋊C8—591no—
1549C4⋊C8C22×D5911yescharacteristic, complemented
1550#103—591no—
1551#103—591no—
1552#103—591no—
1553#103—591no—
1554#103—591no—
1555#103—591no—
1556#103C22×D5911yescharacteristic, complemented
1557#103C22×D5911yescharacteristic, complemented
1558#102—591no—
1559#102—591no—
1560#102—591no—
1561#102—591no—
1562#102—591no—
1563#102—591no—
1564#102—591no—
1565#102—591no—
1566#102—591no—
1567#102—591no—
1568#102—591no—
1569#102—591no—
1570#102C22×D5911yescharacteristic
1571#102C22×D5911yescharacteristic
1572#102C22×D5911yescharacteristic, complemented
1573#102C22×D5911yescharacteristic, complemented
1574C22⋊C8—591no—
1575C22⋊C8—591no—
1576C22⋊C8—591no—
1577C22⋊C8—591no—
1578C22⋊C8—591no—
1579C22⋊C8—591no—
1580C22⋊C8C22×D5911yescharacteristic
1581C22⋊C8C22×D5911yescharacteristic, complemented
1582#97—591no—
1583#97—591no—
1584#97—591no—
1585#97C22×D5911yescharacteristic, complemented
1586C24—21no—
1587C24—591no—
1588C24—591no—
1589C24—1181no—
1590C24—1181no—
1591C24—1181no—
1592C24—1181no—
1593C24—1181no—
1594C24—1181no—
1595C24—1181no—
1596C24—4722no—
1597C24—2364no—
1598C24—2364no—
1599#41—22no—
1600#41—22no—
1601#41—22no—
1602#41—41no—
1603#41—41no—
1604#41—41no—
1605#41—1182no—
1606#41—1182no—
1607#41—1182no—
1608#41—1182no—
1609#41—1182no—
1610#41—1182no—
1611#41—1182no—
1612#41—1182no—
1613#41—1182no—
1614#41—2361no—
1615#41—2361no—
1616#41—2361no—
1617#41—2364no—
1618#41—2364no—
1619#41—2364no—
1620#41—2361no—
1621#41—2361no—
1622#41—2361no—
1623#41—2364no—
1624#41—2364no—
1625#41—2364no—
1626#41—2361no—
1627#41—2361no—
1628#41—2361no—
1629C2×Q8—594no—
1630C2×Q8—591no—
1631C2×Q8—591no—
1632C2×Q8—1181no—
1633C2×Q8—1181no—
1634C2×Q8—1182no—
1635C2×Q8—1182no—
1636C2×Q8—1182no—
1637C2×Q8C23×D5911yescharacteristic
1638C2×Q8C23×D5911yescharacteristic
1639C2×D4—22no—
1640C2×D4—21no—
1641C2×D4—21no—
1642C2×D4—21no—
1643C2×D4—21no—
1644C2×D4—21no—
1645C2×D4—21no—
1646C2×D4—21no—
1647C2×D4—21no—
1648C2×D4—21no—
1649C2×D4—41no—
1650C2×D4—594no—
1651C2×D4—591no—
1652C2×D4—591no—
1653C2×D4—591no—
1654C2×D4—591no—
1655C2×D4—591no—
1656C2×D4—591no—
1657C2×D4—591no—
1658C2×D4—1182no—
1659C2×D4—1181no—
1660C2×D4—1181no—
1661C2×D4—1181no—
1662C2×D4—1181no—
1663C2×D4—1181no—
1664C2×D4—1181no—
1665C2×D4—1182no—
1666C2×D4—1182no—
1667C2×D4—1182no—
1668C2×D4—1182no—
1669C2×D4—1182no—
1670C2×D4—1182no—
1671C2×D4—1182no—
1672C2×D4—1181no—
1673C2×D4—1181no—
1674C2×D4—1181no—
1675C2×D4—1181no—
1676C2×D4—1181no—
1677C2×D4—1181no—
1678C2×D4—1181no—
1679C2×D4—1181no—
1680C2×D4—1181no—
1681C2×D4—1181no—
1682C2×D4—1182no—
1683C2×D4—1182no—
1684C2×D4—1181no—
1685C2×D4—1181no—
1686C2×D4—1181no—
1687C2×D4—1181no—
1688C2×D4—1181no—
1689C2×D4—1181no—
1690C2×D4—1181no—
1691C2×D4—1181no—
1692C2×D4—1181no—
1693C2×D4—1181no—
1694C2×D4—1181no—
1695C2×D4—1181no—
1696C2×D4—1181no—
1697C2×D4—1181no—
1698C2×D4—1181no—
1699C2×D4—4722no—
1700C2×D4—4722no—
1701C2×D4—4722no—
1702C2×D4—4722no—
1703C2×D4—2361no—
1704C2×D4—2361no—
1705C2×D4—2361no—
1706C2×D4—2364no—
1707C2×D4—2362no—
1708C2×D4—2364no—
1709C2×D4—2364no—
1710C2×D4—2364no—
1711C2×D4—2364no—
1712C2×D4—2364no—
1713C2×D4—2364no—
1714C2×D4D4×D5911yescharacteristic
1715C2×D4C23×D5911yescharacteristic
1716C2×D4C23×D5911yescharacteristic
1717C2×D4C23×D5911yescharacteristic
1718C2×D4C23×D5911yescharacteristic
1719C22×C4—21no—
1720C22×C4—21no—
1721C22×C4—21no—
1722C22×C4—21no—
1723C22×C4—591no—
1724C22×C4—591no—
1725C22×C4—591no—
1726C22×C4—591no—
1727C22×C4—591no—
1728C22×C4—591no—
1729C22×C4—591no—
1730C22×C4—591no—
1731C22×C4—591no—
1732C22×C4—591no—
1733C22×C4—591no—
1734C22×C4—1182no—
1735C22×C4—1182no—
1736C22×C4—1182no—
1737C22×C4—1182no—
1738C22×C4—1181no—
1739C22×C4—1181no—
1740C22×C4—1181no—
1741C22×C4—1181no—
1742C22×C4—1181no—
1743C22×C4—1181no—
1744C22×C4—1181no—
1745C22×C4—1181no—
1746C22×C4—1181no—
1747C22×C4—1181no—
1748C22×C4—1181no—
1749C22×C4—1181no—
1750C22×C4—1181no—
1751C22×C4—1181no—
1752C22×C4—1181no—
1753C22×C4—1181no—
1754C22×C4—4722no—
1755C22×C4—2364no—
1756C22×C4—2364no—
1757C22×C4—2364no—
1758C22×C4C23×D5911yescharacteristic
1759C22×C4C23×D5911yescharacteristic
1760Q16—22no—
1761Q16—1182no—
1762Q16—1182no—
1763Q16—1182no—
1764SD16—22no—
1765SD16—22no—
1766SD16—41no—
1767SD16—594no—
1768SD16—594no—
1769SD16—594no—
1770SD16—1182no—
1771SD16—1182no—
1772SD16—1182no—
1773SD16—1182no—
1774SD16—1182no—
1775SD16—1182no—
1776SD16—2361no—
1777SD16—2361no—
1778SD16—2361no—
1779SD16D4×D5914yescomplemented
1780D8—22no—
1781D8—22no—
1782D8—22no—
1783D8—41no—
1784D8—1182no—
1785D8—1182no—
1786D8—1182no—
1787D8—1182no—
1788D8—1182no—
1789D8—1182no—
1790D8—1182no—
1791D8—1182no—
1792D8—1182no—
1793D8—2361no—
1794D8—2361no—
1795D8—2361no—
1796M16—22no—
1797M16—1182no—
1798M16—1182no—
1799M16—1182no—
1800C2×C8—22no—
1801C2×C8—591no—
1802C2×C8—594no—
1803C2×C8—591no—
1804C2×C8—591no—
1805C2×C8—591no—
1806C2×C8—1182no—
1807C2×C8—1182no—
1808C2×C8—1182no—
1809C2×C8—1182no—
1810C2×C8—1182no—
1811C2×C8—1182no—
1812C2×C8C23×D5911yescharacteristic
1813C2×C8C23×D5911yescharacteristic
1814C2×C8C23×D5911yescharacteristic
1815C2×C8C23×D5911yescharacteristic
1816C4⋊C4—21no—
1817C4⋊C4—21no—
1818C4⋊C4—591no—
1819C4⋊C4—591no—
1820C4⋊C4—591no—
1821C4⋊C4—591no—
1822C4⋊C4—591no—
1823C4⋊C4—1181no—
1824C4⋊C4—1181no—
1825C4⋊C4—1181no—
1826C4⋊C4—1181no—
1827C4⋊C4—1181no—
1828C4⋊C4—1181no—
1829C4⋊C4—1181no—
1830C4⋊C4—1181no—
1831C4⋊C4D4×D5911yescharacteristic
1832C4⋊C4C23×D5911yescharacteristic
1833C4⋊C4C23×D5911yescharacteristic
1834C22⋊C4—21no—
1835C22⋊C4—21no—
1836C22⋊C4—21no—
1837C22⋊C4—21no—
1838C22⋊C4—21no—
1839C22⋊C4—21no—
1840C22⋊C4—21no—
1841C22⋊C4—591no—
1842C22⋊C4—591no—
1843C22⋊C4—591no—
1844C22⋊C4—591no—
1845C22⋊C4—591no—
1846C22⋊C4—591no—
1847C22⋊C4—1181no—
1848C22⋊C4—1181no—
1849C22⋊C4—1181no—
1850C22⋊C4—1181no—
1851C22⋊C4—1181no—
1852C22⋊C4—1181no—
1853C22⋊C4—1181no—
1854C22⋊C4—1181no—
1855C22⋊C4—1181no—
1856C22⋊C4—1181no—
1857C22⋊C4—1181no—
1858C22⋊C4—1181no—
1859C22⋊C4—1181no—
1860C22⋊C4—1181no—
1861C22⋊C4—1181no—
1862C22⋊C4—1181no—
1863C22⋊C4—1181no—
1864C22⋊C4—1181no—
1865C22⋊C4—1181no—
1866C22⋊C4—1181no—
1867C22⋊C4—1181no—
1868C22⋊C4D4×D5911yescharacteristic
1869C22⋊C4D4×D5911yescharacteristic
1870C42—21no—
1871C42—591no—
1872C42—591no—
1873C42—591no—
1874C42—1181no—
1875C42—1181no—
1876C42—1181no—
1877C42C23×D5911yescharacteristic
1878C23—21no—
1879C23—21no—
1880C23—21no—
1881C23—21no—
1882C23—42no—
1883C23—42no—
1884C23—81no—
1885C23—591no—
1886C23—591no—
1887C23—591no—
1888C23—1182no—
1889C23—1182no—
1890C23—1184no—
1891C23—1182no—
1892C23—1182no—
1893C23—1182no—
1894C23—1182no—
1895C23—1181no—
1896C23—1181no—
1897C23—1181no—
1898C23—1181no—
1899C23—4721no—
1900C23—4721no—
1901C23—4721no—
1902C23—47216no—
1903C23—2362no—
1904C23—2362no—
1905C23—2362no—
1906C23—2362no—
1907C23—2362no—
1908C23—2362no—
1909C23—2362no—
1910C23—2362no—
1911C23—2362no—
1912C23—2362no—
1913C23—2362no—
1914C23—2362no—
1915C23—2362no—
1916C23—2362no—
1917C23—2362no—
1918C23—2362no—
1919C23—2362no—
1920C23C2×D4×D5911yescharacteristic
1921C23C2×D4×D5911yescharacteristic
1922Q8—21no—
1923Q8—21no—
1924Q8—21no—
1925Q8—592no—
1926Q8—1184no—
1927Q8—1181no—
1928Q8—1181no—
1929Q8—1181no—
1930Q8—2362no—
1931Q8C2×D4×D5912yes—
1932D4—21no—
1933D4—21no—
1934D4—21no—
1935D4—21no—
1936D4—21no—
1937D4—21no—
1938D4—21no—
1939D4—41no—
1940D4—42no—
1941D4—42no—
1942D4—42no—
1943D4—42no—
1944D4—42no—
1945D4—81no—
1946D4—81no—
1947D4—81no—
1948D4—81no—
1949D4—592no—
1950D4—1184no—
1951D4—1181no—
1952D4—1181no—
1953D4—1181no—
1954D4—1181no—
1955D4—1181no—
1956D4—1181no—
1957D4—1181no—
1958D4—4721no—
1959D4—4721no—
1960D4—4721no—
1961D4—4721no—
1962D4—4721no—
1963D4—4721no—
1964D4—4721no—
1965D4—4721no—
1966D4—4721no—
1967D4—4721no—
1968D4—4721no—
1969D4—4721no—
1970D4—2361no—
1971D4—2362no—
1972D4—2362no—
1973D4—2362no—
1974D4—2362no—
1975D4—2362no—
1976D4—2362no—
1977D4—2362no—
1978D4—2362no—
1979D4—2361no—
1980D4—2361no—
1981D4—2362no—
1982D4—2362no—
1983D4—2362no—
1984D4—2362no—
1985D4—2362no—
1986D4—2362no—
1987D4—2362no—
1988D4—2362no—
1989D4—2362no—
1990D4—2362no—
1991D4C2×D4×D5912yes—
1992C2×C4—21no—
1993C2×C4—21no—
1994C2×C4—21no—
1995C2×C4—21no—
1996C2×C4—21no—
1997C2×C4—21no—
1998C2×C4—21no—
1999C2×C4—21no—
2000C2×C4—42no—
2001C2×C4—42no—
2002C2×C4—42no—
2003C2×C4—81no—
2004C2×C4—591no—
2005C2×C4—592no—
2006C2×C4—592no—
2007C2×C4—591no—
2008C2×C4—591no—
2009C2×C4—591no—
2010C2×C4—591no—
2011C2×C4—1182no—
2012C2×C4—1182no—
2013C2×C4—1182no—
2014C2×C4—1182no—
2015C2×C4—1182no—
2016C2×C4—1182no—
2017C2×C4—1184no—
2018C2×C4—1182no—
2019C2×C4—1182no—
2020C2×C4—1181no—
2021C2×C4—1181no—
2022C2×C4—1181no—
2023C2×C4—1181no—
2024C2×C4—1181no—
2025C2×C4—1181no—
2026C2×C4—1181no—
2027C2×C4—1181no—
2028C2×C4—4721no—
2029C2×C4—4721no—
2030C2×C4—4721no—
2031C2×C4—2362no—
2032C2×C4—2362no—
2033C2×C4—2362no—
2034C2×C4—2362no—
2035C2×C4—2362no—
2036C2×C4—2362no—
2037C2×C4—2362no—
2038C2×C4—2362no—
2039C2×C4—2362no—
2040C2×C4—2362no—
2041C2×C4—2362no—
2042C2×C4—2362no—
2043C2×C4C2×D4×D5911yescharacteristic
2044C2×C4C2×D4×D5911yescharacteristic
2045C2×C4C2×D4×D5911yescharacteristic
2046C2×C4C2×D4×D5911yescharacteristic
2047C2×C4C24×D5911yescharacteristic
2048C8—21no—
2049C8—21no—
2050C8—21no—
2051C8—592no—
2052C8—1181no—
2053C8—1181no—
2054C8—1181no—
2055C8C2×D4×D5912yes—
2056C22—21no—
2057C22—21no—
2058C22—22no—
2059C22—21no—
2060C22—21no—
2061C22—21no—
2062C22—21no—
2063C22—41no—
2064C22—41no—
2065C22—41no—
2066C22—41no—
2067C22—41no—
2068C22—41no—
2069C22—41no—
2070C22—41no—
2071C22—41no—
2072C22—41no—
2073C22—41no—
2074C22—84no—
2075C22—592no—
2076C22—592no—
2077C22—592no—
2078C22—1181no—
2079C22—1181no—
2080C22—1182no—
2081C22—1181no—
2082C22—1181no—
2083C22—1181no—
2084C22—1181no—
2085C22—4724no—
2086C22—4724no—
2087C22—4724no—
2088C22—4724no—
2089C22—4724no—
2090C22—4724no—
2091C22—2364no—
2092C22—2364no—
2093C22—2368no—
2094C22—2361no—
2095C22—2361no—
2096C22—2361no—
2097C22—2361no—
2098C22—2361no—
2099C22—2361no—
2100C22—2361no—
2101C22—2361no—
2102C22—2361no—
2103C22—2361no—
2104C22—2361no—
2105C22C22×D4×D5911yescharacteristic
2106C4—21no—
2107C4—21no—
2108C4—22no—
2109C4—21no—
2110C4—21no—
2111C4—41no—
2112C4—41no—
2113C4—41no—
2114C4—592no—
2115C4—1181no—
2116C4—1181no—
2117C4—1182no—
2118C4—1181no—
2119C4—1181no—
2120C4—2361no—
2121C4—2361no—
2122C4—2361no—
2123C4C22×D4×D5911yescharacteristic
2124C4H(5,𝔽2)×D5911yescharacteristic
2125C2—41no—
2126C2—41no—
2127C2—42no—
2128C2—81no—
2129C2—81no—
2130C2—81no—
2131C2—594no—
2132C2—4721no—
2133C2—4721no—
2134C2—4721no—
2135C2—2361no—
2136C2—2361no—
2137C2—2362no—
2138C2D42×D5911yescharacteristic
2139C2#575×D5911yescharacteristic
2140C2#576×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3268C2
socleC22×C59C23×D4
hypercenter#3268D59
hypocenterC59C2×#3268
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3268

Complements

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

NH ≅ G/Ntype
1. C2×AGL(1,ℤ/8)×D59C2semidirect
2. C2×#135×D59C2semidirect
3. #550×D59C2semidirect
4. #546×D59C2semidirect
5. #21435643C2semidirect
6. #21435642C2semidirect
7. #21435641C2semidirect
8. #21435640C2semidirect
9. #21435639C2semidirect
10. #21435638C2semidirect
11. #21435637C2semidirect
12. #21435636C2semidirect
13. #21435635C2semidirect
14. #21435634C2semidirect
15. #21435633C2semidirect
16. #21435632C2semidirect
17. #21435631C2semidirect
18. #21435630C2semidirect
19. #21435629C2semidirect
20. #496×D59C2semidirect
21. #468×D59C2semidirect
22. #466×D59C2semidirect
23. #464×D59C2semidirect
24. #459×D59C2semidirect
25. #452×D59C2semidirect
26. #449×D59C2semidirect
27. #449×D59C2semidirect
28. #447×D59C2semidirect
29. #440×D59C2semidirect
30. #435×D59C2semidirect
31. C59×#3268C2semidirect
34. C2×#41×D59C22semidirect
36. C2×#14273755C22semidirect
37. C2×#14273754C22semidirect
38. C2×#14273754C22semidirect
39. C2×#14273753C22semidirect
40. C2×#14273752C22semidirect
41. C2×#14273751C22semidirect
42. C2×#14273751C22semidirect
44. C2×#14273750C22semidirect
45. C2×#14273749C22semidirect
46. C2×#14273748C22semidirect
47. C2×#14273748C22semidirect
48. C2×#14273747C22semidirect
49. C2×#14273747C22semidirect
50. C2×#14273746C22semidirect
52. C2×Q16×D59C22semidirect
55. C2×SD16×D59C22semidirect
56. C2×SD16×D59C22semidirect
62. C22×C8×D59C22semidirect
63. #16838074C22semidirect
65. #16838073C22semidirect
67. #16838072C22semidirect
68. #16838071C22semidirect
69. #16838071C22semidirect
72. #16838070C22semidirect
73. #16838070C22semidirect
74. #16838049C22semidirect
75. #16838048C22semidirect
76. #16838047C22semidirect
77. #16838046C22semidirect
78. #16838045C22semidirect
80. #16838043C22semidirect
83. #16838040C22semidirect
86. #127×D59C22semidirect
95. #121×D59C22semidirect
97. C4×Q8×D59C22semidirect
102. #16837792C22semidirect
103. #16837791C22semidirect
104. #16837790C22semidirect
105. #16837790C22semidirect
106. #16837789C22semidirect
107. #16837788C22semidirect
108. #16837788C22semidirect
109. #16837651C22semidirect
110. #16837650C22semidirect
111. #16837649C22semidirect
112. #16837648C22semidirect
113. #16837647C22semidirect
114. #16837646C22semidirect
115. #16837645C22semidirect
116. #16837639C22semidirect
117. #16837638C22semidirect
118. #16837637C22semidirect
119. #16837637C22semidirect
120. #16837636C22semidirect
121. #16837636C22semidirect
122. #16837635C22semidirect
123. #16837627C22semidirect
124. #16837626C22semidirect
125. #16837625C22semidirect
126. #16837624C22semidirect
127. #16837623C22semidirect
128. #16837622C22semidirect
129. #16837621C22semidirect
130. #16837598C22semidirect
131. #16837597C22semidirect
132. #16837596C22semidirect
133. #16837596C22semidirect
134. #16837595C22semidirect
135. #16837595C22semidirect
136. #16837594C22semidirect
137. #16837567C22semidirect
138. #16837566C22semidirect
139. #16837565C22semidirect
140. #16837564C22semidirect
141. #16837563C22semidirect
142. #16837562C22semidirect
143. #16837561C22semidirect
144. #16837550C22semidirect
145. #16837550C22semidirect
146. #16837549C22semidirect
147. #16837549C22semidirect
148. #16837548C22semidirect
149. #16837548C22semidirect
150. #16837547C22semidirect
151. #16837547C22semidirect
152. #16837546C22semidirect
153. #16837546C22semidirect
154. #16837545C22semidirect
155. #16837545C22semidirect
156. #16837544C22semidirect
157. #16837544C22semidirect
158. #16837538C22semidirect
159. #16837537C22semidirect
160. #16837537C22semidirect
161. #16837536C22semidirect
162. #16837535C22semidirect
163. #16837534C22semidirect
164. #16837534C22semidirect
165. #16837505C22semidirect
166. #16837504C22semidirect
167. #16837503C22semidirect
168. #16837502C22semidirect
169. #16837501C22semidirect
170. #16837500C22semidirect
171. #16837499C22semidirect
172. #16837476C22semidirect
173. #16837475C22semidirect
174. #16837474C22semidirect
175. #16837473C22semidirect
176. #16837472C22semidirect
177. #16837471C22semidirect
178. #16837470C22semidirect
179. #107×D59C22semidirect
180. C4⋊C8×D59C22semidirect
181. #103×D59C22semidirect
182. #103×D59C22semidirect
185. #102×D59C22semidirect
186. #102×D59C22semidirect
188. C22⋊C8×D59C22semidirect
189. #97×D59C22semidirect
190. C2×AGL(1,ℤ/8)×C59C22semidirect
191. C2×#135×C59C22semidirect
192. C59×#550C22semidirect
193. C59×#546C22semidirect
194. C59×#496C22semidirect
195. C59×#468C22semidirect
196. C59×#466C22semidirect
197. C59×#464C22semidirect
198. C59×#459C22semidirect
199. C59×#452C22semidirect
200. C59×#449C22semidirect
201. C59×#449C22semidirect
202. C59×#447C22semidirect
203. C59×#440C22semidirect
204. C59×#435C22semidirect
208. C2×#11745689C23semidirect
214. C2×#11745685C23semidirect
220. C2×#11745687C23semidirect
270. C2×Dic236C23semidirect
271. C2×#11745672C23semidirect
272. C2×#11745672C23semidirect
276. C2×#11745660C23semidirect
277. C2×#11745660C23semidirect
280. C2×#11745670C23semidirect
281. C2×#11745670C23semidirect
284. C2×#11745671C23semidirect
285. C2×#11745671C23semidirect
289. SD16×D59D4semidirect
310. C22×C59⋊C8C23semidirect
316. C2×C8×D59C23semidirect
317. C2×C8×D59C23semidirect
319. #14273724C23semidirect
328. #14273723C23semidirect
329. #14273723C23semidirect
352. #14273702C23semidirect
358. #14273701C23semidirect
382. #14273698C23semidirect
390. Q8×Dic59C23semidirect
392. C4×Dic118C23semidirect
394. #14273692C23semidirect
437. #14273661C23semidirect
438. #14273660C23semidirect
439. #14273660C23semidirect
440. C4⋊(C59⋊C8)C23semidirect
441. Dic59⋊C8C23semidirect
442. Dic59⋊C8C23semidirect
443. #14273652C23semidirect
444. #14273652C23semidirect
445. #14273651C23semidirect
446. #14273651C23semidirect
447. #14273650C23semidirect
448. #14273650C23semidirect
451. #14273649C23semidirect
452. #14273649C23semidirect
455. #14273648C23semidirect
456. #14273648C23semidirect
459. #14273647C23semidirect
460. #14273647C23semidirect
462. C22⋊(C59⋊C8)C23semidirect
465. (C2×D59)⋊C8C23semidirect
466. (C2×D59)⋊C8C23semidirect
467. #14273638C23semidirect
468. #14273637C23semidirect
469. #14273637C23semidirect
472. C2×#41×C59C23semidirect
476. C2×Q16×C59C23semidirect
479. C2×SD16×C59C23semidirect
480. C2×SD16×C59C23semidirect
486. C22×C8×C59C23semidirect
488. #127×C59C23semidirect
497. #121×C59C23semidirect
499. C4×Q8×C59C23semidirect
504. #107×C59C23semidirect
505. C4⋊C8×C59C23semidirect
506. #103×C59C23semidirect
507. #103×C59C23semidirect
510. #102×C59C23semidirect
511. #102×C59C23semidirect
513. C22⋊C8×C59C23semidirect
514. #97×C59C23semidirect
693. SD16×C59C2×D4semidirect
734. #11745671C2×D4semidirect
738. #11745670C2×D4semidirect
798. #11745660C2×D4semidirect
1074. #3268D59direct (N × H)
1101. D59#3268direct (N × H)
1114. C2×AGL(1,ℤ/8)C2×D59semidirect
1123. C2×#135C2×D59semidirect
1146. #550C2×D59semidirect
1158. #546C2×D59semidirect
1183. #496C2×D59semidirect
1191. #468C2×D59semidirect
1199. #466C2×D59semidirect
1207. #464C2×D59semidirect
1215. #459C2×D59semidirect
1223. #452C2×D59semidirect
1238. #449C2×D59semidirect
1239. #449C2×D59semidirect
1247. #447C2×D59semidirect
1255. #440C2×D59semidirect
1263. #435C2×D59semidirect
1275. C59C2×#3268semidirect
1300. C2×#41C22×D59semidirect
1351. C2×Q16C22×D59semidirect
1370. C2×SD16C22×D59semidirect
1371. C2×SD16C22×D59semidirect
1405. C22×C8C22×D59semidirect
1419. #127C22×D59semidirect
1481. #121C22×D59semidirect
1495. C4×Q8C22×D59semidirect
1545. #107C22×D59semidirect
1549. C4⋊C8C22×D59semidirect
1556. #103C22×D59semidirect
1557. #103C22×D59semidirect
1572. #102C22×D59semidirect
1573. #102C22×D59semidirect
1581. C22⋊C8C22×D59semidirect
1585. #97C22×D59semidirect
1779. SD16D4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×AGL(1,ℤ/8)×D592
C2×#135×D592
#550×D592
#546×D592
#214356432
#214356422
#214356412
#214356402
#214356392
#214356382
#214356372
#214356362
#214356352
#214356342
#214356332
#214356322
#214356312
#214356302
#214356292
#496×D592
#468×D592
#466×D592
#464×D592
#459×D592
#452×D592
#449×D592
#447×D592
#440×D592
#435×D592
C59×#32682
C2×#326859