Finite Group Databasebeta

← #29474032

Subgroups — #29474032

Order 15104.

2568 conjugacy classes of subgroups.

The subgroup lattice has 2020 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438138C211yesmaximal, characteristic, complemented
2D42×D59C211yesmaximal, characteristic, complemented
3#21436322C211yesmaximal, characteristic, complemented
4#21436320C211yesmaximal, characteristic, complemented
5#21436124C211yesmaximal, characteristic, complemented
6#21436122C211yesmaximal, characteristic, complemented
7#21436119C211yesmaximal, characteristic, complemented
8#21436117C211yesmaximal, characteristic, complemented
9#21435904C211yesmaximal, characteristic, complemented
10#21435902C211yesmaximal, characteristic, complemented
11SD16×C22⋊D59C211yesmaximal, characteristic, complemented
12#21435785C211yesmaximal, characteristic, complemented
13#21435690C211yesmaximal, characteristic, complemented
14#21435689C211yesmaximal, characteristic, complemented
15#21435597C211yesmaximal, characteristic, complemented
16#21435592C211yesmaximal, characteristic, complemented
17#21435590C211yesmaximal, characteristic, complemented
18#21435110C211yesmaximal, characteristic, complemented
19#21435036C211yesmaximal, characteristic, complemented
20#21434900C211yesmaximal, characteristic, complemented
21#21434897C211yesmaximal, characteristic, complemented
22#21434859C211yesmaximal, characteristic, complemented
23#21434856C211yesmaximal, characteristic, complemented
24#21434193C211yesmaximal, characteristic, complemented
25#21434142C211yesmaximal, characteristic, complemented
26#21433321C211yesmaximal, characteristic, complemented
27#21433320C211yesmaximal, characteristic, complemented
28C2×#16837551C211yesmaximal, characteristic, complemented
29#450×D59C211yesmaximal, characteristic, complemented
30#21433126C211yesmaximal, characteristic, complemented
31C59×#3265C211yesmaximal, characteristic, complemented
32C22×D4×D59—21no—
33C22×D4×D59C2211yescharacteristic
34C22×D4×D59C2211yescharacteristic
35C2×#14273752C2211yescharacteristic, complemented
36C2×#14273751C2211yescharacteristic, complemented
37C2×#14273751C2211yescharacteristic, complemented
38C22×#11745671C2211yescharacteristic, complemented
39C2×SD16×D59C2211yescharacteristic, complemented
40C2×SD16×D59C2211yescharacteristic, complemented
41#16838123C2211yescharacteristic, complemented
42#16838106—21no—
43#16838093C2211yescharacteristic, complemented
44#16838092C2211yescharacteristic, complemented
45#16838082—21no—
46#16838081—21no—
47Q8×C22⋊D59C2211yescharacteristic, complemented
48#16838060C2211yescharacteristic, complemented
49#16838052C2211yescharacteristic, complemented
50#16838051C2211yescharacteristic, complemented
51#16838041—21no—
52D4×D236C2211yescharacteristic
53D4×D236C2211yescharacteristic
54#16838037C2211yescharacteristic
55#16838036—21no—
56#16838036C2211yescharacteristic
57#16838036C2211yescharacteristic
58D4×C22⋊D59—21no—
59D4×C22⋊D59C2211yescharacteristic
60D4×C22⋊D59C2211yescharacteristic
61#16838034—21no—
62#16838034—21no—
63#16838016—21no—
64#16837998—21no—
65#16837997—21no—
66#16837956C2211yescharacteristic, complemented
67#127×D59C2211yescharacteristic
68#16837931C2211yescharacteristic, complemented
69#16837912C2211yescharacteristic, complemented
70#16837909C2211yescharacteristic, complemented
71C2×#14273703C2211yescharacteristic, complemented
72C22⋊Q8×D59C2211yescharacteristic, complemented
73#121×D59—21no—
74#121×D59C2211yescharacteristic
75#121×D59C2211yescharacteristic
76#120×D59—21no—
77#120×D59—21no—
78#16837881—21no—
79C4×D4×D59C2211yescharacteristic
80C4×D4×D59C2211yescharacteristic
81#16837792C2211yescharacteristic, complemented
82#16837773C2211yescharacteristic, complemented
83#16837773C2211yescharacteristic, complemented
84#16837767C2211yescharacteristic, complemented
85#16837766C2211yescharacteristic, complemented
86#16837747C2211yescharacteristic, complemented
87#16837747C2211yescharacteristic, complemented
88#16837739C2211yescharacteristic, complemented
89#16837736C2211yescharacteristic, complemented
90#16837736C2211yescharacteristic, complemented
91#16837729C2211yescharacteristic, complemented
92#16837727C2211yescharacteristic, complemented
93#16837725C2211yescharacteristic, complemented
94#16837723C2211yescharacteristic, complemented
95#16837719C2211yescharacteristic, complemented
96#16837717C2211yescharacteristic, complemented
97#16837716C2211yescharacteristic, complemented
98#16837714C2211yescharacteristic, complemented
99#16837713C2211yescharacteristic, complemented
100#16837703C2211yescharacteristic, complemented
101#16837702C2211yescharacteristic, complemented
102#16837681C2211yescharacteristic, complemented
103#16837680C2211yescharacteristic, complemented
104#16837651C2211yescharacteristic, complemented
105#16837651C2211yescharacteristic, complemented
106#16837650C2211yescharacteristic, complemented
107#16837648C2211yescharacteristic, complemented
108#16837646C2211yescharacteristic, complemented
109#16837645C2211yescharacteristic, complemented
110#16837645C2211yescharacteristic, complemented
111#16837637C2211yescharacteristic, complemented
112#16837636C2211yescharacteristic, complemented
113#16837635C2211yescharacteristic, complemented
114#16837634C2211yescharacteristic, complemented
115#16837631C2211yescharacteristic, complemented
116#16837629C2211yescharacteristic, complemented
117#16837628C2211yescharacteristic, complemented
118#16837614C2211yescharacteristic, complemented
119#16837606C2211yescharacteristic, complemented
120#16837605C2211yescharacteristic, complemented
121#16837603C2211yescharacteristic, complemented
122#16837602C2211yescharacteristic, complemented
123#16837600C2211yescharacteristic, complemented
124#16837600C2211yescharacteristic, complemented
125#16837599C2211yescharacteristic, complemented
126#16837595C2211yescharacteristic, complemented
127#16837595C2211yescharacteristic, complemented
128#16837555C2211yescharacteristic, complemented
129#16837555C2211yescharacteristic, complemented
130#16837554C2211yescharacteristic
131#16837554C2211yescharacteristic, complemented
132#16837554C2211yescharacteristic, complemented
133#16837553C2211yescharacteristic, complemented
134#16837553C2211yescharacteristic, complemented
135#16837552C2211yescharacteristic, complemented
136#16837551C2211yescharacteristic
137#16837551C2211yescharacteristic
138#16837551C2211yescharacteristic, complemented
139#16837551C2211yescharacteristic, complemented
140#16837551C2211yescharacteristic, complemented
141#16837551C2211yescharacteristic, complemented
142#16837551C2211yescharacteristic, complemented
143#16837551C2211yescharacteristic, complemented
144#16837551C2211yescharacteristic, complemented
145#16837551C2211yescharacteristic, complemented
146#16837551C2211yescharacteristic, complemented
147#16837551C2211yescharacteristic, complemented
148#16837548C2211yescharacteristic, complemented
149#16837547C2211yescharacteristic, complemented
150#16837544C2211yescharacteristic, complemented
151#16837542C2211yescharacteristic, complemented
152#16837541C2211yescharacteristic, complemented
153#16837539C2211yescharacteristic, complemented
154#16837535C2211yescharacteristic, complemented
155#16837534C2211yescharacteristic
156#16837534C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160#16837504C2211yescharacteristic, complemented
161#16837502C2211yescharacteristic, complemented
162#16837500C2211yescharacteristic, complemented
163SD16×Dic59C2211yescharacteristic, complemented
164#16837487C2211yescharacteristic, complemented
165D8×Dic59C2211yescharacteristic, complemented
166#16837482C2211yescharacteristic, complemented
167#16837478C2211yescharacteristic, complemented
168#16837477C2211yescharacteristic, complemented
169#16837475C2211yescharacteristic, complemented
170#16837474C2211yescharacteristic, complemented
171#16837472C2211yescharacteristic, complemented
172C8×C22⋊D59C2211yescharacteristic, complemented
173(C22⋊D59)⋊C8C2211yescharacteristic, complemented
174#16837457C2211yescharacteristic, complemented
175#16837454C2211yescharacteristic, complemented
176#16837408C2211yescharacteristic, complemented
177#16837407C2211yescharacteristic, complemented
178#16837405C2211yescharacteristic, complemented
179#16837405C2211yescharacteristic, complemented
180C2×#14273649C2211yescharacteristic, complemented
181C2×#14273648C2211yescharacteristic, complemented
182#102×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#16837365C2211yescharacteristic, complemented
185#16837364C2211yescharacteristic, complemented
186C2×(C2×D59)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D59C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
189C22×SD16×C59C2211yescharacteristic, complemented
190C59×#548C2211yescharacteristic, complemented
191D42×C59C2211yescharacteristic
192C59×#496C2211yescharacteristic, complemented
193C59×#468C2211yescharacteristic, complemented
194C59×#466C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#460C2211yescharacteristic, complemented
197C59×#450C2211yescharacteristic, complemented
198C59×#449C2211yescharacteristic, complemented
199C59×#448C2211yescharacteristic, complemented
200C59×#447C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C59×#435C2211yescharacteristic, complemented
203C24×D59—21no—
204C24×D59—21no—
205C2×#11745687—21no—
206C2×#11745687C2311yescharacteristic, complemented
207C2×Q8×D59C2311yescharacteristic, complemented
208C22×D236—21no—
209C22×D236C2311yescharacteristic
210C22×D236C2311yescharacteristic
211C22×C22⋊D59—21no—
212C22×C22⋊D59—21no—
213C22×C22⋊D59—21no—
214C22×C22⋊D59—21no—
215C2×D4×D59—21no—
216C2×D4×D59—21no—
217C2×D4×D59—21no—
218C2×D4×D59—21no—
219C2×D4×D59—21no—
220C2×D4×D59—21no—
221C2×D4×D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59—42no—
228C2×D4×D59—42no—
229C2×D4×D59—42no—
230C2×D4×D59—42no—
231C2×D4×D59—48no—
232C2×D4×D59D411yescharacteristic
233C2×D4×D59C2311yescharacteristic
234C2×D4×D59C2311yescharacteristic
235C2×D4×D59C2311yescharacteristic
236C2×D4×D59C2311yescharacteristic
237C2×D4×D59C2311yescharacteristic
238C2×D4×D59C2311yescharacteristic
239C2×D4×D59C2311yescharacteristic
240C22×C4×D59—21no—
241C22×C4×D59C2311yescharacteristic
242C22×C4×D59C2311yescharacteristic
243#14273752—42no—
244#14273751—42no—
245#14273751—42no—
246C2×#11745660C2311yescharacteristic
247C2×#11745660C2311yescharacteristic, complemented
248C2×#11745660C2311yescharacteristic, complemented
249C2×#11745670C2311yescharacteristic
250C2×#11745670C2311yescharacteristic, complemented
251C2×#11745670C2311yescharacteristic, complemented
252C2×#11745671—42no—
253C2×#11745671C2311yescharacteristic
254C2×#11745671C2311yescharacteristic
255C2×#11745671C2311yescharacteristic, complemented
256C2×#11745671C2311yescharacteristic, complemented
257C2×#11745671C2311yescharacteristic, complemented
258C2×#11745671C2311yescharacteristic, complemented
259SD16×D59—42no—
260SD16×D59—42no—
261C2×#11745669C2311yescharacteristic
262C2×#11745669C2311yescharacteristic, complemented
263C2×#11745669C2311yescharacteristic, complemented
264C2×#11745664C2311yescharacteristic, complemented
265C2×#11745659C2311yescharacteristic, complemented
266C2×#11745659C2311yescharacteristic, complemented
267C22×C59⋊C8C2311yescharacteristic, complemented
268C2×C8×D59C2311yescharacteristic, complemented
269C2×C8×D59C2311yescharacteristic, complemented
270#14273726C2311yescharacteristic, complemented
271#14273725—21no—
272#14273725C2311yescharacteristic, complemented
273#14273724C2311yescharacteristic
274#14273723—21no—
275#14273723—21no—
276#14273723C2311yescharacteristic
277#14273723C2311yescharacteristic
278#14273722—21no—
279#14273721—21no—
280#14273720—21no—
281#14273720—21no—
282#14273720—21no—
283#14273719C2311yescharacteristic, complemented
284#14273717—21no—
285#14273717—21no—
286#14273717—21no—
287#14273713—21no—
288#14273713—21no—
289#14273712—21no—
290#14273710—21no—
291#14273709—21no—
292#14273709—21no—
293#14273709—21no—
294#14273708—21no—
295#14273708—21no—
296#14273708—21no—
297#14273708—21no—
298#14273707C2311yescharacteristic
299#14273706—21no—
300#14273706C2311yescharacteristic, complemented
301#14273706C2311yescharacteristic, complemented
302#14273705—21no—
303#14273705—21no—
304#14273704—21no—
305#14273704—21no—
306#14273704—21no—
307#14273703—21no—
308#14273703—21no—
309#14273703—21no—
310#14273703C2311yescharacteristic
311#14273703C2311yescharacteristic
312#14273703C2311yescharacteristic, complemented
313#14273703C2311yescharacteristic, complemented
314#14273703C2311yescharacteristic, complemented
315#14273702—21no—
316#14273702C2311yescharacteristic
317#14273702C2311yescharacteristic
318#14273701—21no—
319#14273701C2311yescharacteristic
320#14273701C2311yescharacteristic
321#14273700—21no—
322#14273700—21no—
323#14273700—21no—
324#14273700—21no—
325#14273700—21no—
326#14273699—21no—
327#14273699—21no—
328#14273699—21no—
329#14273699—21no—
330#14273699—21no—
331#14273698—21no—
332#14273698C2311yescharacteristic
333#14273698C2311yescharacteristic
334#14273698C2311yescharacteristic
335#14273698C2311yescharacteristic, complemented
336#14273697—21no—
337#14273697—21no—
338#14273697—21no—
339#14273697—21no—
340#14273697—21no—
341#14273697—21no—
342#14273696—21no—
343#14273696—21no—
344#14273695—21no—
345#14273695—21no—
346#14273695—21no—
347#14273695—21no—
348#14273695—21no—
349#14273695—21no—
350#14273695—21no—
351#14273695—21no—
352Q8×Dic59C2311yescharacteristic, complemented
353C4×Dic118—21no—
354C4×Dic118C2311yescharacteristic, complemented
355#14273692—21no—
356C4×D236C2311yescharacteristic
357C4×D236C2311yescharacteristic
358D4×Dic59—21no—
359D4×Dic59D411yescharacteristic
360D4×Dic59C2311yescharacteristic
361D4×Dic59C2311yescharacteristic, complemented
362#14273689D411yescharacteristic
363#14273689C2311yescharacteristic
364C4×C22⋊D59—21no—
365C4×C22⋊D59—21no—
366C4×C22⋊D59—21no—
367C4×C22⋊D59—21no—
368C4×C22⋊D59C2311yescharacteristic
369C4×C22⋊D59C2311yescharacteristic
370(C22⋊D59)⋊C4—21no—
371(C22⋊D59)⋊C4—21no—
372(C22⋊D59)⋊C4—21no—
373(C22⋊D59)⋊C4—21no—
374(C22⋊D59)⋊C4D411yescharacteristic
375(C22⋊D59)⋊C4D411yescharacteristic
376#14273686C2311yescharacteristic, complemented
377#14273685C2311yescharacteristic, complemented
378#14273684—21no—
379#14273684—21no—
380#14273683—21no—
381#14273683—21no—
382C2×C4⋊Dic59C2311yescharacteristic, complemented
383C2×Dic59⋊C4—21no—
384C2×Dic59⋊C4—21no—
385C4⋊C4×D59—21no—
386C4⋊C4×D59D411yescharacteristic
387C4⋊C4×D59C2311yescharacteristic
388C4⋊C4×D59C2311yescharacteristic, complemented
389C2×(C2×D59)⋊C4—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C22⋊C4×D59D411yescharacteristic
395C22⋊C4×D59D411yescharacteristic
396C42×D59C2311yescharacteristic
397#14273661C2311yescharacteristic, complemented
398#14273661C2311yescharacteristic, complemented
399#14273660C2311yescharacteristic, complemented
400#14273660C2311yescharacteristic, complemented
401#14273660C2311yescharacteristic, complemented
402#14273659C2311yescharacteristic, complemented
403#14273658C2311yescharacteristic, complemented
404C4⋊(C59⋊C8)C2311yescharacteristic, complemented
405Dic59⋊C8C2311yescharacteristic, complemented
406Dic59⋊C8C2311yescharacteristic, complemented
407#14273652C2311yescharacteristic, complemented
408#14273651C2311yescharacteristic, complemented
409#14273651C2311yescharacteristic, complemented
410#14273650C2311yescharacteristic, complemented
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic, complemented
415#14273649C2311yescharacteristic, complemented
416#14273649C2311yescharacteristic, complemented
417#14273649C2311yescharacteristic, complemented
418#14273649C2311yescharacteristic, complemented
419#14273649C2311yescharacteristic, complemented
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic, complemented
424#14273648C2311yescharacteristic, complemented
425#14273648C2311yescharacteristic, complemented
426#14273648C2311yescharacteristic, complemented
427#14273648C2311yescharacteristic, complemented
428#14273648C2311yescharacteristic, complemented
429#14273648C2311yescharacteristic, complemented
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic, complemented
432#14273647C2311yescharacteristic, complemented
433C22⋊(C59⋊C8)C2311yescharacteristic, complemented
434C22⋊(C59⋊C8)C2311yescharacteristic, complemented
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic, complemented
440(C2×D59)⋊C8C2311yescharacteristic, complemented
441(C2×D59)⋊C8C2311yescharacteristic, complemented
442(C2×D59)⋊C8C2311yescharacteristic, complemented
443#14273638C2311yescharacteristic, complemented
444C8×Dic59C2311yescharacteristic, complemented
445C8×Dic59C2311yescharacteristic, complemented
446C2×#41×C59C2311yescharacteristic, complemented
447C22×Q8×C59C2311yescharacteristic, complemented
448C22×D4×C59—21no—
449C22×D4×C59C2311yescharacteristic
450C22×D4×C59C2311yescharacteristic
451AGL(1,ℤ/8)×C59—42no—
452C2×SD16×C59—42no—
453C2×SD16×C59C2311yescharacteristic
454C2×SD16×C59C2311yescharacteristic
455C2×SD16×C59C2311yescharacteristic, complemented
456C2×SD16×C59C2311yescharacteristic, complemented
457C2×SD16×C59C2311yescharacteristic, complemented
458C2×SD16×C59C2311yescharacteristic, complemented
459C2×D8×C59C2311yescharacteristic
460C2×D8×C59C2311yescharacteristic, complemented
461C2×D8×C59C2311yescharacteristic, complemented
462C2×M16×C59C2311yescharacteristic, complemented
463C22×C8×C59C2311yescharacteristic, complemented
464#127×C59C2311yescharacteristic
465#124×C59—21no—
466#124×C59C2311yescharacteristic, complemented
467C22⋊Q8×C59—21no—
468C22⋊Q8×C59C2311yescharacteristic, complemented
469#121×C59—21no—
470#121×C59—21no—
471#121×C59C2311yescharacteristic
472#121×C59C2311yescharacteristic
473#121×C59C2311yescharacteristic, complemented
474#120×C59—21no—
475#120×C59—21no—
476C4×Q8×C59C2311yescharacteristic, complemented
477C4×D4×C59—21no—
478C4×D4×C59C2311yescharacteristic
479C4×D4×C59C2311yescharacteristic
480#107×C59C2311yescharacteristic, complemented
481C4⋊C8×C59C2311yescharacteristic, complemented
482#103×C59C2311yescharacteristic, complemented
483#103×C59C2311yescharacteristic, complemented
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic, complemented
486#102×C59C2311yescharacteristic, complemented
487#102×C59C2311yescharacteristic, complemented
488C22⋊C8×C59C2311yescharacteristic, complemented
489C22⋊C8×C59C2311yescharacteristic, complemented
490#97×C59C2311yescharacteristic, complemented
491C24×C59—21no—
492C24×C59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59—21no—
496C23×D59—21no—
497C23×D59—21no—
498C23×D59—21no—
499C23×D59—21no—
500C23×D59—21no—
501C23×D59—21no—
502C23×D59—44no—
503C23×D59—44no—
504C23×D59—44no—
505C23×D59—44no—
506C23×D59—82no—
507C23×D59—82no—
508C23×D59C2×D411yescharacteristic
509C23×D59C2×D411yescharacteristic
510#41×C59—41no—
511#41×C59—41no—
512C2×Q8×C59—21no—
513C2×Q8×C59—41no—
514C2×Q8×C59—41no—
515C2×Q8×C59C2411yescharacteristic
516C2×Q8×C59C2411yescharacteristic
517C2×D4×C59—22no—
518C2×D4×C59—22no—
519C2×D4×C59—21no—
520C2×D4×C59—21no—
521C2×D4×C59—21no—
522C2×D4×C59—21no—
523C2×D4×C59—21no—
524C2×D4×C59—21no—
525C2×D4×C59—21no—
526C2×D4×C59—21no—
527C2×D4×C59—41no—
528C2×D4×C59—41no—
529C2×D4×C59—44no—
530C2×D4×C59C2×D411yescharacteristic
531C2×D4×C59C2411yescharacteristic
532C2×D4×C59C2411yescharacteristic
533C2×D4×C59C2411yescharacteristic
534C2×D4×C59C2411yescharacteristic
535C22×C4×C59—21no—
536C22×C4×C59—21no—
537C22×C4×C59—21no—
538C22×C4×C59C2411yescharacteristic
539C22×C4×C59C2411yescharacteristic
540C2×C22⋊D59—21no—
541C2×C22⋊D59—21no—
542C2×C22⋊D59—21no—
543C2×C22⋊D59—21no—
544C2×C22⋊D59—21no—
545C2×C22⋊D59—21no—
546C2×C22⋊D59—21no—
547C2×C22⋊D59—21no—
548C2×C22⋊D59—21no—
549C2×C22⋊D59—21no—
550C2×C22⋊D59—21no—
551C2×C22⋊D59—21no—
552C2×C22⋊D59—21no—
553C2×C22⋊D59—21no—
554C2×C22⋊D59—21no—
555C2×C22⋊D59—21no—
556C2×C22⋊D59—21no—
557C2×C22⋊D59—21no—
558C2×C22⋊D59—44no—
559C2×C22⋊D59—44no—
560C2×C22⋊D59—44no—
561C2×C22⋊D59—44no—
562C2×C22⋊D59C2×D411yescharacteristic
563C2×C22⋊D59C2×D411yescharacteristic
564C22×Dic59—21no—
565C22×Dic59—21no—
566C22×Dic59—21no—
567C22×Dic59—21no—
568C22×Dic59C2×D411yescharacteristic
569C22×Dic59C2×D411yescharacteristic
570Q8×D59—41no—
571Q8×D59—41no—
572#11745687—41no—
573#11745687—41no—
574#11745687—44no—
575D4×D59—22no—
576D4×D59—24no—
577D4×D59—22no—
578D4×D59—22no—
579D4×D59—22no—
580D4×D59—22no—
581D4×D59—22no—
582D4×D59—41no—
583D4×D59—41no—
584D4×D59—41no—
585D4×D59—41no—
586D4×D59—41no—
587D4×D59—41no—
588D4×D59—41no—
589D4×D59—41no—
590D4×D59—44no—
591D4×D59—44no—
592D4×D59—44no—
593D4×D59—44no—
594D4×D59—44no—
595D4×D59—44no—
596D4×D59—44no—
597D4×D59—44no—
598D4×D59—44no—
599D4×D59—44no—
600D4×D59—44no—
601D4×D59—82no—
602C2×D236—22no—
603C2×D236—22no—
604C2×D236—21no—
605C2×D236—21no—
606C2×D236—21no—
607C2×D236—21no—
608C2×D236—21no—
609C2×D236—21no—
610C2×D236—41no—
611C2×D236—41no—
612C2×D236—44no—
613C2×D236C2×D411yescharacteristic
614C2×D236C2411yescharacteristic
615C2×D236C2411yescharacteristic
616C2×D236C2411yescharacteristic
617C2×C4×D59—21no—
618C2×C4×D59—21no—
619C2×C4×D59—21no—
620C2×C4×D59—21no—
621C2×C4×D59—21no—
622C2×C4×D59—41no—
623C2×C4×D59—41no—
624C2×C4×D59—41no—
625C2×C4×D59—41no—
626C2×C4×D59—44no—
627C2×C4×D59C2×D411yescharacteristic
628C2×C4×D59C2×D411yescharacteristic
629C2×C4×D59C2×D411yescharacteristic
630C2×C4×D59C2×D411yescharacteristic
631C2×C4×D59C2×D411yescharacteristic
632C2×C4×D59C2×D411yescharacteristic
633C2×C4×D59C2411yescharacteristic
634C2×C4×D59C2411yescharacteristic
635C2×C4×D59C2411yescharacteristic
636C2×Dic118—21no—
637C2×Dic118—21no—
638C2×Dic118C2411yescharacteristic
639SD16×C59—22no—
640SD16×C59—22no—
641SD16×C59—41no—
642SD16×C59—41no—
643SD16×C59—41no—
644SD16×C59—41no—
645D8×C59—22no—
646D8×C59—41no—
647D8×C59—41no—
648M16×C59—41no—
649C2×C8×C59—41no—
650C2×C8×C59C2411yescharacteristic
651C2×C8×C59C2411yescharacteristic
652C2×C8×C59C2411yescharacteristic
653C2×C8×C59C2411yescharacteristic
654C4⋊C4×C59—21no—
655C4⋊C4×C59—21no—
656C4⋊C4×C59C2×D411yescharacteristic
657C4⋊C4×C59C2411yescharacteristic
658C4⋊C4×C59C2411yescharacteristic
659C22⋊C4×C59—21no—
660C22⋊C4×C59—21no—
661C22⋊C4×C59—21no—
662C22⋊C4×C59—21no—
663C22⋊C4×C59—21no—
664C22⋊C4×C59—21no—
665C22⋊C4×C59—21no—
666C22⋊C4×C59C2×D411yescharacteristic
667C22⋊C4×C59C2×D411yescharacteristic
668C42×C59—21no—
669C42×C59C2411yescharacteristic
670C22⋊Dic59—21no—
671C22⋊Dic59—21no—
672C22⋊Dic59—21no—
673C22⋊Dic59—21no—
674C22⋊Dic59—21no—
675C22⋊Dic59—21no—
676C22⋊Dic59—21no—
677C22⋊Dic59—21no—
678C22⋊Dic59—21no—
679C22⋊Dic59C2×D411yescharacteristic
680C22⋊Dic59C2×D411yescharacteristic
681#11745671—22no—
682#11745671—22no—
683#11745671—41no—
684#11745671—41no—
685#11745671—41no—
686#11745671—41no—
687#11745670—22no—
688#11745670—41no—
689#11745670—41no—
690#11745669—22no—
691#11745669—41no—
692#11745669—41no—
693(C2×D59)⋊C4—21no—
694(C2×D59)⋊C4—21no—
695(C2×D59)⋊C4—21no—
696(C2×D59)⋊C4—21no—
697(C2×D59)⋊C4—21no—
698(C2×D59)⋊C4—21no—
699(C2×D59)⋊C4—21no—
700(C2×D59)⋊C4—21no—
701(C2×D59)⋊C4—21no—
702(C2×D59)⋊C4—21no—
703(C2×D59)⋊C4—21no—
704(C2×D59)⋊C4—21no—
705(C2×D59)⋊C4—21no—
706(C2×D59)⋊C4C2×D411yescharacteristic
707(C2×D59)⋊C4C2×D411yescharacteristic
708(C2×D59)⋊C4C2×D411yescharacteristic
709(C2×D59)⋊C4C2×D411yescharacteristic
710C4⋊Dic59—21no—
711C4⋊Dic59—21no—
712C4⋊Dic59—21no—
713C4⋊Dic59C2×D411yescharacteristic
714C4⋊Dic59C2411yescharacteristic
715C4⋊Dic59C2411yescharacteristic
716C4⋊Dic59C2411yescharacteristic
717C4⋊Dic59C2411yescharacteristic
718Dic59⋊C4—21no—
719Dic59⋊C4—21no—
720Dic59⋊C4—21no—
721Dic59⋊C4—21no—
722Dic59⋊C4—21no—
723Dic59⋊C4—21no—
724Dic59⋊C4—21no—
725Dic59⋊C4—21no—
726Dic59⋊C4—21no—
727Dic59⋊C4—21no—
728Dic59⋊C4—21no—
729Dic59⋊C4—21no—
730Dic59⋊C4—21no—
731Dic59⋊C4—21no—
732Dic59⋊C4—21no—
733Dic59⋊C4C2×D411yescharacteristic
734Dic59⋊C4C2×D411yescharacteristic
735C4×Dic59—21no—
736C4×Dic59—21no—
737C4×Dic59—21no—
738C4×Dic59—21no—
739C4×Dic59C2×D411yescharacteristic
740C4×Dic59C2×D411yescharacteristic
741C4×Dic59C2411yescharacteristic
742#11745664—41no—
743C2×C59⋊C8—41no—
744C2×C59⋊C8C2411yescharacteristic
745C2×C59⋊C8C2411yescharacteristic
746C2×C59⋊C8C2411yescharacteristic
747C2×C59⋊C8C2411yescharacteristic
748#11745660—22no—
749#11745660—41no—
750#11745660—41no—
751#11745659—41no—
752#11745659—41no—
753C8×D59—41no—
754C8×D59—41no—
755C23×C59—21no—
756C23×C59—21no—
757C23×C59—21no—
758C23×C59—21no—
759C23×C59—42no—
760C23×C59—42no—
761C23×C59—42no—
762C23×C59—42no—
763C23×C59—81no—
764C23×C59—81no—
765C23×C59C22×D411yescharacteristic
766C23×C59C22×D411yescharacteristic
767C22×D59—24no—
768C22×D59—22no—
769C22×D59—21no—
770C22×D59—22no—
771C22×D59—22no—
772C22×D59—22no—
773C22×D59—21no—
774C22×D59—21no—
775C22×D59—41no—
776C22×D59—41no—
777C22×D59—42no—
778C22×D59—42no—
779C22×D59—42no—
780C22×D59—42no—
781C22×D59—42no—
782C22×D59—42no—
783C22×D59—42no—
784C22×D59—42no—
785C22×D59—42no—
786C22×D59—42no—
787C22×D59—42no—
788C22×D59—42no—
789C22×D59—42no—
790C22×D59—42no—
791C22×D59—42no—
792C22×D59—42no—
793C22×D59—42no—
794C22×D59—42no—
795C22×D59—42no—
796C22×D59—42no—
797C22×D59—81no—
798C22×D59—81no—
799C22×D59—81no—
800C22×D59—81no—
801C22×D59—81no—
802C22×D59—81no—
803C22×D59—816no—
804C22×D59—816no—
805C22×D59C22×D411yescharacteristic
806C22×D59C22×D411yescharacteristic
807C22×D59C22×D411yescharacteristic
808Q8×C59—21no—
809Q8×C59—21no—
810Q8×C59—21no—
811Q8×C59—21no—
812Q8×C59—81no—
813D4×C59—22no—
814D4×C59—21no—
815D4×C59—21no—
816D4×C59—21no—
817D4×C59—21no—
818D4×C59—21no—
819D4×C59—21no—
820D4×C59—21no—
821D4×C59—42no—
822D4×C59—42no—
823D4×C59—42no—
824D4×C59—42no—
825D4×C59—42no—
826D4×C59—42no—
827D4×C59—81no—
828D4×C59—81no—
829D4×C59H(5,𝔽2)12yes—
830C2×C4×C59—21no—
831C2×C4×C59—21no—
832C2×C4×C59—21no—
833C2×C4×C59—21no—
834C2×C4×C59—21no—
835C2×C4×C59—21no—
836C2×C4×C59—21no—
837C2×C4×C59—21no—
838C2×C4×C59—42no—
839C2×C4×C59—81no—
840C2×C4×C59—81no—
841C2×C4×C59C22×D411yescharacteristic
842C2×C4×C59C22×D411yescharacteristic
843C2×C4×C59C22×D411yescharacteristic
844C2×C4×C59C22×D411yescharacteristic
845C2×C4×C59C2511yescharacteristic
846C22⋊D59—24no—
847C22⋊D59—22no—
848C22⋊D59—42no—
849C22⋊D59—42no—
850C22⋊D59—42no—
851C22⋊D59—42no—
852C22⋊D59—42no—
853C22⋊D59—42no—
854C22⋊D59—42no—
855C22⋊D59—42no—
856C22⋊D59—42no—
857C22⋊D59—42no—
858C22⋊D59—42no—
859C22⋊D59—42no—
860C22⋊D59—42no—
861C22⋊D59—42no—
862C22⋊D59—81no—
863C22⋊D59—81no—
864C22⋊D59—81no—
865C22⋊D59AGL(1,ℤ/8)14yescomplemented
866C2×Dic59—21no—
867C2×Dic59—21no—
868C2×Dic59—21no—
869C2×Dic59—21no—
870C2×Dic59—21no—
871C2×Dic59—41no—
872C2×Dic59—41no—
873C2×Dic59—42no—
874C2×Dic59—42no—
875C2×Dic59—42no—
876C2×Dic59—81no—
877C2×Dic59C22×D411yescharacteristic
878C2×Dic59C22×D411yescharacteristic
879C2×Dic59C22×D411yescharacteristic
880C2×Dic59C22×D411yescharacteristic
881C2×Dic59C22×D411yescharacteristic
882D236—22no—
883D236—21no—
884D236—21no—
885D236—21no—
886D236—21no—
887D236—21no—
888D236—42no—
889D236—42no—
890D236—42no—
891D236—42no—
892D236—42no—
893D236—81no—
894D236H(5,𝔽2)12yes—
895C4×D59—22no—
896C4×D59—21no—
897C4×D59—21no—
898C4×D59—21no—
899C4×D59—21no—
900C4×D59—21no—
901C4×D59—21no—
902C4×D59—22no—
903C4×D59—41no—
904C4×D59—41no—
905C4×D59—41no—
906C4×D59—41no—
907C4×D59—42no—
908C4×D59—42no—
909C4×D59—42no—
910C4×D59—42no—
911C4×D59—81no—
912Dic118—21no—
913Dic118—21no—
914Dic118—42no—
915Dic118—81no—
916C8×C59—21no—
917C8×C59—21no—
918C8×C59—21no—
919C8×C59—21no—
920C59⋊C8—21no—
921C59⋊C8—21no—
922C59⋊C8—21no—
923C59⋊C8—21no—
924#61600—591nomaximal, Sylow
925C22×C59—21no—
926C22×C59—21no—
927C22×C59—21no—
928C22×C59—22no—
929C22×C59—21no—
930C22×C59—21no—
931C22×C59—41no—
932C22×C59—41no—
933C22×C59—41no—
934C22×C59—41no—
935C22×C59—41no—
936C22×C59—41no—
937C22×C59—41no—
938C22×C59—41no—
939C22×C59—41no—
940C22×C59—41no—
941C22×C59—41no—
942C22×C59—84no—
943C22×C59—84no—
944C22×C59C2×AGL(1,ℤ/8)12yes—
945C22×C59C23×D411yescharacteristic
946C2×D59—21no—
947C2×D59—21no—
948C2×D59—21no—
949C2×D59—21no—
950C2×D59—21no—
951C2×D59—22no—
952C2×D59—21no—
953C2×D59—21no—
954C2×D59—44no—
955C2×D59—44no—
956C2×D59—48no—
957C2×D59—41no—
958C2×D59—41no—
959C2×D59—41no—
960C2×D59—41no—
961C2×D59—41no—
962C2×D59—41no—
963C2×D59—41no—
964C2×D59—41no—
965C2×D59—84no—
966C2×D59—84no—
967C2×D59—84no—
968C2×D59—84no—
969C2×D59—84no—
970C2×D59—84no—
971C2×D59—84no—
972C2×D59—84no—
973C2×D59C2×AGL(1,ℤ/8)12yes—
974C2×D59#57712yes—
975C4×C59—21no—
976C4×C59—21no—
977C4×C59—21no—
978C4×C59—21no—
979C4×C59—41no—
980C4×C59—41no—
981C4×C59—41no—
982C4×C59—41no—
983C4×C59C2×H(5,𝔽2)11yescharacteristic
984C4×C59C2×H(5,𝔽2)11yescharacteristic
985Dic59—21no—
986Dic59—21no—
987Dic59—21no—
988Dic59—21no—
989Dic59—41no—
990Dic59—41no—
991Dic59—41no—
992Dic59—41no—
993Dic59—41no—
994Dic59C2×AGL(1,ℤ/8)12yes—
995#3520—591no—
996C2×D42—591no—
997#3324—591no—
998#3324—591no—
999#3310—591no—
1000#3310—591no—
1001#3310—591no—
1002#3310—591no—
1003#3294—591no—
1004#3294—591no—
1005D4×SD16—591no—
1006D4×SD16—591no—
1007#3272—591no—
1008#3272—591no—
1009#3265—591no—
1010#3265—591no—
1011#3265—591no—
1012#3265D5911yescharacteristic, complemented
1013#3217—591no—
1014#3208—591no—
1015#3193—591no—
1016#3193—591no—
1017#3188—591no—
1018#3188—591no—
1019#3110—591no—
1020#3105—591no—
1021#3003—591no—
1022#3003—591no—
1023C2×#450—591no—
1024C2×#450—591no—
1025#2974—591no—
1026C2×C59—22no—
1027C2×C59—41no—
1028C2×C59—42no—
1029C2×C59—81no—
1030C2×C59—81no—
1031C2×C59—81no—
1032C2×C59#348411yescharacteristic
1033C2×C59C22×AGL(1,ℤ/8)11yescharacteristic
1034C2×C59C2×#57711yescharacteristic
1035D59—22no—
1036D59—22no—
1037D59—41no—
1038D59—42no—
1039D59—81no—
1040D59—81no—
1041C23×D4—591no—
1042C23×D4—591no—
1043C23×D4—1181no—
1044C2×AGL(1,ℤ/8)—591no—
1045C2×AGL(1,ℤ/8)—591no—
1046C2×AGL(1,ℤ/8)—591no—
1047C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
1048C22×SD16—591no—
1049C22×SD16—591no—
1050C22×SD16—591no—
1051C22×SD16C2×D5911yescharacteristic, complemented
1052#556—591no—
1053#554—1181no—
1054#552—591no—
1055#552—591no—
1056#551—1181no—
1057#551—1181no—
1058D4×Q8—591no—
1059#548—591no—
1060#548C2×D5911yescharacteristic, complemented
1061#547—591no—
1062#547—591no—
1063#546—1181no—
1064D42—591no—
1065D42—591no—
1066D42—591no—
1067D42—591no—
1068D42—591no—
1069D42—591no—
1070D42—591no—
1071D42—1181no—
1072D42—1181no—
1073D42—1181no—
1074D42—1181no—
1075D42C2×D5911yescharacteristic
1076#542—1181no—
1077#539—1181no—
1078#539—1181no—
1079#533—591no—
1080C2×#127—591no—
1081#529—591no—
1082#525—591no—
1083#525—591no—
1084C2×C22⋊Q8—591no—
1085C2×C22⋊Q8—591no—
1086C2×#121—591no—
1087C2×#121—591no—
1088C2×#121—1181no—
1089C2×#120—1181no—
1090C2×#120—1181no—
1091#520—1181no—
1092C2×C4×D4—591no—
1093C2×C4×D4—591no—
1094#496—591no—
1095#496C2×D5911yescharacteristic, complemented
1096#492—591no—
1097#492—591no—
1098#490—591no—
1099#490—591no—
1100#486—591no—
1101#486—591no—
1102#484—591no—
1103#484—591no—
1104#484—591no—
1105#482—591no—
1106#482—591no—
1107#482—591no—
1108#482—591no—
1109#481—591no—
1110#480—591no—
1111#480—591no—
1112#480—591no—
1113#480—591no—
1114#478—591no—
1115#478—591no—
1116#474—591no—
1117#474—591no—
1118#468—591no—
1119#468—591no—
1120#468—591no—
1121#468—591no—
1122#468—591no—
1123#468—591no—
1124#468—591no—
1125#468C2×D5911yescharacteristic, complemented
1126#466—591no—
1127#466—591no—
1128#466—591no—
1129#466C2×D5911yescharacteristic, complemented
1130#465—591no—
1131#465—591no—
1132#465—591no—
1133#465—591no—
1134#463—591no—
1135#463C2×D5911yescharacteristic, complemented
1136#461—591no—
1137#461—591no—
1138#460—591no—
1139#460—591no—
1140#460—591no—
1141#460—591no—
1142#460—591no—
1143#460C2×D5911yescharacteristic, complemented
1144#459—591no—
1145#459—591no—
1146#450—591no—
1147#450—591no—
1148#450—591no—
1149#450—591no—
1150#450—591no—
1151#450—591no—
1152#450—591no—
1153#450—591no—
1154#450—591no—
1155#450—591no—
1156#450—591no—
1157#450—591no—
1158#450—591no—
1159#450—591no—
1160#450—591no—
1161#450—591no—
1162#450—591no—
1163#450—591no—
1164#450—591no—
1165#450—591no—
1166#450C2×D5911yescharacteristic, complemented
1167#449—591no—
1168#449—591no—
1169#449—591no—
1170#449C2×D5911yescharacteristic, complemented
1171#448—591no—
1172#448—591no—
1173#448—591no—
1174#448C2×D5911yescharacteristic, complemented
1175#447—591no—
1176#447—591no—
1177#447—591no—
1178#447—591no—
1179#447—591no—
1180#447—591no—
1181#447C2×D5911yescharacteristic, complemented
1182#440—591no—
1183#440—591no—
1184#440—591no—
1185#440C2×D5911yescharacteristic, complemented
1186C4×SD16—591no—
1187C4×SD16—591no—
1188C4×D8—591no—
1189C4×D8—591no—
1190#436—591no—
1191#436—591no—
1192#435—591no—
1193#435—591no—
1194#435—591no—
1195#435C2×D5911yescharacteristic, complemented
1196C8×D4—591no—
1197C8×D4—591no—
1198#432—591no—
1199#431—591no—
1200#418—591no—
1201#418—591no—
1202#418—591no—
1203#418—591no—
1204C2×#102—591no—
1205C2×#102—591no—
1206C2×#102—591no—
1207C2×#102—591no—
1208#407—591no—
1209#407—591no—
1210C2×C22⋊C8—591no—
1211C2×C22⋊C8—591no—
1212C59#6160011yescharacteristic, complemented, Sylow
1213C25—1181no—
1214C25—1181no—
1215C2×#41—591no—
1216C2×#41—1181no—
1217C2×#41C22×D5911yescharacteristic, complemented
1218C22×Q8—591no—
1219C22×Q8C22×D5911yescharacteristic, complemented
1220C22×D4—21no—
1221C22×D4—591no—
1222C22×D4—591no—
1223C22×D4—591no—
1224C22×D4—591no—
1225C22×D4—591no—
1226C22×D4—591no—
1227C22×D4—591no—
1228C22×D4—591no—
1229C22×D4—591no—
1230C22×D4—591no—
1231C22×D4—1181no—
1232C22×D4—1181no—
1233C22×D4—1181no—
1234C22×D4—1181no—
1235C22×D4—1181no—
1236C22×D4—1181no—
1237C22×D4—1181no—
1238C22×D4—1181no—
1239C22×D4—1181no—
1240C22×D4—1181no—
1241C22×D4—1181no—
1242C22×D4—1181no—
1243C22×D4—1181no—
1244C22×D4—1181no—
1245C22×D4—1181no—
1246C22×D4—1181no—
1247C22×D4—1181no—
1248C22×D4—2362no—
1249C22×D4—2362no—
1250C22×D4—2362no—
1251C22×D4—2362no—
1252C22×D4—2368no—
1253C22×D4C22×D5911yescharacteristic
1254C22×D4C22×D5911yescharacteristic
1255C23×C4—591no—
1256C23×C4—591no—
1257C23×C4—1181no—
1258AGL(1,ℤ/8)—42no—
1259AGL(1,ℤ/8)—2362no—
1260AGL(1,ℤ/8)—2362no—
1261AGL(1,ℤ/8)—2362no—
1262C2×SD16—42no—
1263C2×SD16—591no—
1264C2×SD16—591no—
1265C2×SD16—591no—
1266C2×SD16—591no—
1267C2×SD16—591no—
1268C2×SD16—591no—
1269C2×SD16—591no—
1270C2×SD16—591no—
1271C2×SD16—591no—
1272C2×SD16—591no—
1273C2×SD16—591no—
1274C2×SD16—591no—
1275C2×SD16—2362no—
1276C2×SD16—2362no—
1277C2×SD16—2362no—
1278C2×SD16C22×D5911yescharacteristic
1279C2×SD16C22×D5911yescharacteristic
1280C2×SD16C22×D5911yescharacteristic, complemented
1281C2×SD16C22×D5911yescharacteristic, complemented
1282C2×SD16C22×D5911yescharacteristic, complemented
1283C2×SD16C22×D5911yescharacteristic, complemented
1284C2×D8—591no—
1285C2×D8—591no—
1286C2×D8—591no—
1287C2×D8C22×D5911yescharacteristic
1288C2×D8C22×D5911yescharacteristic, complemented
1289C2×D8C22×D5911yescharacteristic, complemented
1290C2×M16—591no—
1291C2×M16—591no—
1292C2×M16—591no—
1293C2×M16C22×D5911yescharacteristic, complemented
1294C22×C8—591no—
1295C22×C8—591no—
1296C22×C8—591no—
1297C22×C8C22×D5911yescharacteristic, complemented
1298C4⋊Q8—591no—
1299C4⋊Q8—591no—
1300C4⋊Q8—1181no—
1301#127—591no—
1302#127—591no—
1303#127—591no—
1304#127—1181no—
1305#127—1181no—
1306#127C22×D5911yescharacteristic
1307#126—1181no—
1308#126—1181no—
1309#126—1181no—
1310#126—1181no—
1311#126—1181no—
1312#125—591no—
1313#125—1181no—
1314#125—1181no—
1315#125—1181no—
1316#124—21no—
1317#124—1181no—
1318#124—1181no—
1319#124C22×D5911yescharacteristic, complemented
1320#123—1181no—
1321#123—1181no—
1322#123—1181no—
1323#123—1181no—
1324#123—1181no—
1325#123—1181no—
1326#123—1181no—
1327#123—1181no—
1328#123—1181no—
1329C22⋊Q8—21no—
1330C22⋊Q8—591no—
1331C22⋊Q8—591no—
1332C22⋊Q8—591no—
1333C22⋊Q8—591no—
1334C22⋊Q8—591no—
1335C22⋊Q8—591no—
1336C22⋊Q8—591no—
1337C22⋊Q8—591no—
1338C22⋊Q8—1181no—
1339C22⋊Q8—1181no—
1340C22⋊Q8—1181no—
1341C22⋊Q8—1181no—
1342C22⋊Q8—1181no—
1343C22⋊Q8—1181no—
1344C22⋊Q8—1181no—
1345C22⋊Q8—1181no—
1346C22⋊Q8—1181no—
1347C22⋊Q8C22×D5911yescharacteristic, complemented
1348#121—21no—
1349#121—21no—
1350#121—591no—
1351#121—591no—
1352#121—591no—
1353#121—591no—
1354#121—591no—
1355#121—591no—
1356#121—591no—
1357#121—591no—
1358#121—1181no—
1359#121—1181no—
1360#121—1181no—
1361#121—1181no—
1362#121—1181no—
1363#121—1181no—
1364#121—1181no—
1365#121—1181no—
1366#121—1181no—
1367#121—1181no—
1368#121—1181no—
1369#121—1181no—
1370#121—1181no—
1371#121C22×D5911yescharacteristic
1372#121C22×D5911yescharacteristic
1373#121C22×D5911yescharacteristic, complemented
1374#120—21no—
1375#120—21no—
1376#120—1181no—
1377#120—1181no—
1378#120—1181no—
1379#120—1181no—
1380#120—1181no—
1381#120—1181no—
1382#120—1181no—
1383#120—1181no—
1384#120—1181no—
1385#120—1181no—
1386#120—1181no—
1387#120—1181no—
1388#120—1181no—
1389#120—1181no—
1390#120—1181no—
1391#120—1181no—
1392C4×Q8—591no—
1393C4×Q8—591no—
1394C4×Q8—1181no—
1395C4×Q8—1181no—
1396C4×Q8C22×D5911yescharacteristic, complemented
1397C4×D4—21no—
1398C4×D4—591no—
1399C4×D4—591no—
1400C4×D4—591no—
1401C4×D4—591no—
1402C4×D4—591no—
1403C4×D4—591no—
1404C4×D4—591no—
1405C4×D4—591no—
1406C4×D4—591no—
1407C4×D4—591no—
1408C4×D4—591no—
1409C4×D4—1181no—
1410C4×D4—1181no—
1411C4×D4—1181no—
1412C4×D4—1181no—
1413C4×D4—1181no—
1414C4×D4—1181no—
1415C4×D4—1181no—
1416C4×D4—1181no—
1417C4×D4—1181no—
1418C4×D4C22×D5911yescharacteristic
1419C4×D4C22×D5911yescharacteristic
1420#117—591no—
1421#117—591no—
1422#117—1181no—
1423#117—1181no—
1424#117—1181no—
1425#117—1181no—
1426C2×C4⋊C4—591no—
1427C2×C4⋊C4—591no—
1428C2×C4⋊C4—591no—
1429C2×C4⋊C4—591no—
1430C2×C4⋊C4—1181no—
1431C2×C4⋊C4—1181no—
1432C2×C4⋊C4—1181no—
1433C2×C22⋊C4—591no—
1434C2×C22⋊C4—591no—
1435C2×C22⋊C4—1181no—
1436C2×C22⋊C4—1181no—
1437C2×C22⋊C4—1181no—
1438C2×C22⋊C4—1181no—
1439C2×C22⋊C4—1181no—
1440C2×C42—591no—
1441#107—591no—
1442#107—591no—
1443#107—591no—
1444#107—591no—
1445#107—591no—
1446#107C22×D5911yescharacteristic, complemented
1447#106—591no—
1448#106—591no—
1449C4⋊C8—591no—
1450C4⋊C8—591no—
1451C4⋊C8—591no—
1452C4⋊C8C22×D5911yescharacteristic, complemented
1453#103—591no—
1454#103—591no—
1455#103—591no—
1456#103—591no—
1457#103C22×D5911yescharacteristic, complemented
1458#103C22×D5911yescharacteristic, complemented
1459#102—591no—
1460#102—591no—
1461#102—591no—
1462#102—591no—
1463#102—591no—
1464#102—591no—
1465#102—591no—
1466#102—591no—
1467#102—591no—
1468#102—591no—
1469#102—591no—
1470#102—591no—
1471#102—591no—
1472#102—591no—
1473#102—591no—
1474#102—591no—
1475#102—591no—
1476#102—591no—
1477#102—591no—
1478#102—591no—
1479#102—591no—
1480#102—591no—
1481#102C22×D5911yescharacteristic
1482#102C22×D5911yescharacteristic, complemented
1483#102C22×D5911yescharacteristic, complemented
1484#102C22×D5911yescharacteristic, complemented
1485C22⋊C8—591no—
1486C22⋊C8—591no—
1487C22⋊C8—591no—
1488C22⋊C8—591no—
1489C22⋊C8—591no—
1490C22⋊C8—591no—
1491C22⋊C8—591no—
1492C22⋊C8—591no—
1493C22⋊C8—591no—
1494C22⋊C8—591no—
1495C22⋊C8C22×D5911yescharacteristic, complemented
1496C22⋊C8C22×D5911yescharacteristic, complemented
1497#97—591no—
1498#97C22×D5911yescharacteristic, complemented
1499C4×C8—591no—
1500C4×C8—591no—
1501C24—21no—
1502C24—21no—
1503C24—591no—
1504C24—591no—
1505C24—1181no—
1506C24—1181no—
1507C24—1181no—
1508C24—1181no—
1509C24—1181no—
1510C24—1181no—
1511C24—1181no—
1512C24—1181no—
1513C24—1181no—
1514C24—4722no—
1515C24—4722no—
1516C24—2364no—
1517C24—2364no—
1518C24—2364no—
1519C24—2364no—
1520#41—41no—
1521#41—41no—
1522#41—2361no—
1523#41—2361no—
1524#41—2364no—
1525C2×Q8—21no—
1526C2×Q8—41no—
1527C2×Q8—41no—
1528C2×Q8—591no—
1529C2×Q8—1181no—
1530C2×Q8—1181no—
1531C2×Q8—2361no—
1532C2×Q8—2361no—
1533C2×Q8C23×D5911yescharacteristic
1534C2×Q8C23×D5911yescharacteristic
1535C2×D4—22no—
1536C2×D4—22no—
1537C2×D4—21no—
1538C2×D4—21no—
1539C2×D4—21no—
1540C2×D4—21no—
1541C2×D4—21no—
1542C2×D4—21no—
1543C2×D4—21no—
1544C2×D4—21no—
1545C2×D4—41no—
1546C2×D4—41no—
1547C2×D4—44no—
1548C2×D4—591no—
1549C2×D4—591no—
1550C2×D4—591no—
1551C2×D4—591no—
1552C2×D4—591no—
1553C2×D4—591no—
1554C2×D4—1182no—
1555C2×D4—1182no—
1556C2×D4—1181no—
1557C2×D4—1181no—
1558C2×D4—1181no—
1559C2×D4—1181no—
1560C2×D4—1181no—
1561C2×D4—1181no—
1562C2×D4—1181no—
1563C2×D4—1181no—
1564C2×D4—1181no—
1565C2×D4—1181no—
1566C2×D4—1181no—
1567C2×D4—1181no—
1568C2×D4—1181no—
1569C2×D4—1184no—
1570C2×D4—1182no—
1571C2×D4—1182no—
1572C2×D4—1182no—
1573C2×D4—1182no—
1574C2×D4—1182no—
1575C2×D4—1182no—
1576C2×D4—1181no—
1577C2×D4—1181no—
1578C2×D4—1181no—
1579C2×D4—1181no—
1580C2×D4—1181no—
1581C2×D4—1181no—
1582C2×D4—1181no—
1583C2×D4—1181no—
1584C2×D4—1181no—
1585C2×D4—1181no—
1586C2×D4—1181no—
1587C2×D4—4722no—
1588C2×D4—2361no—
1589C2×D4—2361no—
1590C2×D4—2364no—
1591C2×D4—2361no—
1592C2×D4—2361no—
1593C2×D4—2361no—
1594C2×D4—2361no—
1595C2×D4—2361no—
1596C2×D4—2361no—
1597C2×D4—2361no—
1598C2×D4—2361no—
1599C2×D4—2364no—
1600C2×D4—2364no—
1601C2×D4—2364no—
1602C2×D4—2364no—
1603C2×D4—2364no—
1604C2×D4—2364no—
1605C2×D4—2364no—
1606C2×D4—2364no—
1607C2×D4—2364no—
1608C2×D4—2364no—
1609C2×D4—2364no—
1610C2×D4—2364no—
1611C2×D4—2364no—
1612C2×D4—2364no—
1613C2×D4—2364no—
1614C2×D4D4×D5911yescharacteristic
1615C2×D4C23×D5911yescharacteristic
1616C2×D4C23×D5911yescharacteristic
1617C2×D4C23×D5911yescharacteristic
1618C2×D4C23×D5911yescharacteristic
1619C22×C4—21no—
1620C22×C4—21no—
1621C22×C4—21no—
1622C22×C4—591no—
1623C22×C4—591no—
1624C22×C4—591no—
1625C22×C4—591no—
1626C22×C4—591no—
1627C22×C4—591no—
1628C22×C4—591no—
1629C22×C4—591no—
1630C22×C4—591no—
1631C22×C4—591no—
1632C22×C4—591no—
1633C22×C4—1181no—
1634C22×C4—1181no—
1635C22×C4—1181no—
1636C22×C4—1181no—
1637C22×C4—1181no—
1638C22×C4—1181no—
1639C22×C4—1181no—
1640C22×C4—1181no—
1641C22×C4—1181no—
1642C22×C4—2361no—
1643C22×C4—2361no—
1644C22×C4—2361no—
1645C22×C4—2361no—
1646C22×C4—2364no—
1647C22×C4C23×D5911yescharacteristic
1648C22×C4C23×D5911yescharacteristic
1649SD16—22no—
1650SD16—22no—
1651SD16—41no—
1652SD16—41no—
1653SD16—41no—
1654SD16—41no—
1655SD16—1182no—
1656SD16—1182no—
1657SD16—1182no—
1658SD16—1182no—
1659SD16—2361no—
1660SD16—2361no—
1661SD16—2361no—
1662SD16—2361no—
1663SD16—2361no—
1664SD16—2361no—
1665SD16—2361no—
1666SD16—2361no—
1667D8—22no—
1668D8—41no—
1669D8—41no—
1670D8—1182no—
1671D8—2361no—
1672D8—2361no—
1673M16—41no—
1674M16—2361no—
1675M16—2361no—
1676M16—2361no—
1677C2×C8—41no—
1678C2×C8—591no—
1679C2×C8—591no—
1680C2×C8—591no—
1681C2×C8—591no—
1682C2×C8—2361no—
1683C2×C8—2361no—
1684C2×C8—2361no—
1685C2×C8C23×D5911yescharacteristic
1686C2×C8C23×D5911yescharacteristic
1687C2×C8C23×D5911yescharacteristic
1688C2×C8C23×D5911yescharacteristic
1689C4⋊C4—21no—
1690C4⋊C4—21no—
1691C4⋊C4—591no—
1692C4⋊C4—591no—
1693C4⋊C4—591no—
1694C4⋊C4—591no—
1695C4⋊C4—591no—
1696C4⋊C4—591no—
1697C4⋊C4—591no—
1698C4⋊C4—1181no—
1699C4⋊C4—1181no—
1700C4⋊C4—1181no—
1701C4⋊C4—1181no—
1702C4⋊C4—1181no—
1703C4⋊C4—1181no—
1704C4⋊C4—1181no—
1705C4⋊C4—1181no—
1706C4⋊C4—1181no—
1707C4⋊C4—1181no—
1708C4⋊C4—1181no—
1709C4⋊C4—1181no—
1710C4⋊C4—1181no—
1711C4⋊C4—1181no—
1712C4⋊C4—1181no—
1713C4⋊C4—1181no—
1714C4⋊C4—1181no—
1715C4⋊C4—1181no—
1716C4⋊C4D4×D5911yescharacteristic
1717C4⋊C4C23×D5911yescharacteristic
1718C4⋊C4C23×D5911yescharacteristic
1719C22⋊C4—21no—
1720C22⋊C4—21no—
1721C22⋊C4—21no—
1722C22⋊C4—21no—
1723C22⋊C4—21no—
1724C22⋊C4—21no—
1725C22⋊C4—21no—
1726C22⋊C4—591no—
1727C22⋊C4—591no—
1728C22⋊C4—591no—
1729C22⋊C4—591no—
1730C22⋊C4—591no—
1731C22⋊C4—591no—
1732C22⋊C4—1181no—
1733C22⋊C4—1181no—
1734C22⋊C4—1181no—
1735C22⋊C4—1181no—
1736C22⋊C4—1181no—
1737C22⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1755C22⋊C4D4×D5911yescharacteristic
1756C42—21no—
1757C42—591no—
1758C42—591no—
1759C42—591no—
1760C42—1181no—
1761C42—1181no—
1762C42—1181no—
1763C42—1181no—
1764C42C23×D5911yescharacteristic
1765C23—21no—
1766C23—21no—
1767C23—21no—
1768C23—21no—
1769C23—42no—
1770C23—42no—
1771C23—42no—
1772C23—42no—
1773C23—81no—
1774C23—81no—
1775C23—591no—
1776C23—591no—
1777C23—591no—
1778C23—1182no—
1779C23—1182no—
1780C23—1182no—
1781C23—1184no—
1782C23—1182no—
1783C23—1181no—
1784C23—1181no—
1785C23—1181no—
1786C23—4721no—
1787C23—4721no—
1788C23—4721no—
1789C23—4721no—
1790C23—4721no—
1791C23—4721no—
1792C23—47216no—
1793C23—47216no—
1794C23—2361no—
1795C23—2361no—
1796C23—2362no—
1797C23—2362no—
1798C23—2362no—
1799C23—2362no—
1800C23—2362no—
1801C23—2362no—
1802C23—2362no—
1803C23—2362no—
1804C23—2362no—
1805C23—2362no—
1806C23—2362no—
1807C23—2362no—
1808C23—2362no—
1809C23—2362no—
1810C23—2362no—
1811C23—2362no—
1812C23—2362no—
1813C23—2362no—
1814C23—2362no—
1815C23—2362no—
1816C23C2×D4×D5911yescharacteristic
1817C23C2×D4×D5911yescharacteristic
1818Q8—21no—
1819Q8—21no—
1820Q8—21no—
1821Q8—21no—
1822Q8—81no—
1823Q8—1181no—
1824Q8—1181no—
1825Q8—4721no—
1826Q8—2362no—
1827D4—22no—
1828D4—21no—
1829D4—21no—
1830D4—21no—
1831D4—21no—
1832D4—21no—
1833D4—21no—
1834D4—21no—
1835D4—42no—
1836D4—42no—
1837D4—42no—
1838D4—42no—
1839D4—42no—
1840D4—42no—
1841D4—81no—
1842D4—81no—
1843D4—594no—
1844D4—592no—
1845D4—1182no—
1846D4—1182no—
1847D4—1184no—
1848D4—1181no—
1849D4—1181no—
1850D4—1181no—
1851D4—1181no—
1852D4—1181no—
1853D4—4721no—
1854D4—4721no—
1855D4—4721no—
1856D4—4721no—
1857D4—2362no—
1858D4—2362no—
1859D4—2362no—
1860D4—2362no—
1861D4—2362no—
1862D4—2362no—
1863D4—2362no—
1864D4—2362no—
1865D4—2362no—
1866D4—2362no—
1867D4—2362no—
1868D4—2362no—
1869D4—2362no—
1870D4—2362no—
1871D4—2362no—
1872D4—2362no—
1873D4—2362no—
1874D4—2362no—
1875D4—2362no—
1876D4#1427377212yes—
1877C2×C4—21no—
1878C2×C4—21no—
1879C2×C4—21no—
1880C2×C4—21no—
1881C2×C4—21no—
1882C2×C4—21no—
1883C2×C4—21no—
1884C2×C4—21no—
1885C2×C4—42no—
1886C2×C4—81no—
1887C2×C4—81no—
1888C2×C4—591no—
1889C2×C4—591no—
1890C2×C4—591no—
1891C2×C4—591no—
1892C2×C4—591no—
1893C2×C4—1182no—
1894C2×C4—1182no—
1895C2×C4—1181no—
1896C2×C4—1181no—
1897C2×C4—1181no—
1898C2×C4—1181no—
1899C2×C4—1181no—
1900C2×C4—1181no—
1901C2×C4—1181no—
1902C2×C4—1181no—
1903C2×C4—1181no—
1904C2×C4—1181no—
1905C2×C4—1181no—
1906C2×C4—4721no—
1907C2×C4—4721no—
1908C2×C4—2361no—
1909C2×C4—2361no—
1910C2×C4—2361no—
1911C2×C4—2361no—
1912C2×C4—2362no—
1913C2×C4—2362no—
1914C2×C4—2362no—
1915C2×C4—2362no—
1916C2×C4—2362no—
1917C2×C4—2362no—
1918C2×C4—2361no—
1919C2×C4—2361no—
1920C2×C4—2362no—
1921C2×C4C2×D4×D5911yescharacteristic
1922C2×C4C2×D4×D5911yescharacteristic
1923C2×C4C2×D4×D5911yescharacteristic
1924C2×C4C2×D4×D5911yescharacteristic
1925C2×C4C24×D5911yescharacteristic
1926C8—21no—
1927C8—21no—
1928C8—21no—
1929C8—21no—
1930C8—1181no—
1931C8—1181no—
1932C8—1181no—
1933C8—1181no—
1934C22—21no—
1935C22—21no—
1936C22—21no—
1937C22—22no—
1938C22—21no—
1939C22—21no—
1940C22—41no—
1941C22—41no—
1942C22—41no—
1943C22—41no—
1944C22—41no—
1945C22—41no—
1946C22—41no—
1947C22—41no—
1948C22—41no—
1949C22—41no—
1950C22—41no—
1951C22—84no—
1952C22—84no—
1953C22—592no—
1954C22—592no—
1955C22—1181no—
1956C22—1181no—
1957C22—1181no—
1958C22—1181no—
1959C22—1181no—
1960C22—1182no—
1961C22—1181no—
1962C22—1181no—
1963C22—4724no—
1964C22—4724no—
1965C22—4724no—
1966C22—4724no—
1967C22—4724no—
1968C22—4724no—
1969C22—4724no—
1970C22—4724no—
1971C22—2364no—
1972C22—2364no—
1973C22—2368no—
1974C22—2361no—
1975C22—2361no—
1976C22—2361no—
1977C22—2361no—
1978C22—2361no—
1979C22—2361no—
1980C22—2361no—
1981C22—2361no—
1982C22AGL(1,ℤ/8)×D5912yes—
1983C22C22×D4×D5911yescharacteristic
1984C4—21no—
1985C4—21no—
1986C4—21no—
1987C4—21no—
1988C4—41no—
1989C4—41no—
1990C4—41no—
1991C4—41no—
1992C4—592no—
1993C4—1181no—
1994C4—1181no—
1995C4—1181no—
1996C4—1181no—
1997C4—2361no—
1998C4—2361no—
1999C4—2361no—
2000C4—2361no—
2001C4—2361no—
2002C4H(5,𝔽2)×D5911yescharacteristic
2003C4C2×#1427377211yescharacteristic
2004C2—22no—
2005C2—41no—
2006C2—42no—
2007C2—81no—
2008C2—81no—
2009C2—81no—
2010C2—1182no—
2011C2—1182no—
2012C2—4721no—
2013C2—4721no—
2014C2—2361no—
2015C2—2362no—
2016C2#2143772411yescharacteristic
2017C2C2×AGL(1,ℤ/8)×D5911yescharacteristic
2018C2#577×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3265C2
socleC22×C59C23×D4
hypercenter#3265D59
hypocenterC59#61600
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

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

NH ≅ G/Ntype
1. #21438138C2semidirect
2. D42×D59C2semidirect
3. #21436322C2semidirect
4. #21436320C2semidirect
5. #21436124C2semidirect
6. #21436122C2semidirect
7. #21436119C2semidirect
8. #21436117C2semidirect
9. #21435904C2semidirect
10. #21435902C2semidirect
11. SD16×C22⋊D59C2semidirect
12. #21435785C2semidirect
13. #21435690C2semidirect
14. #21435689C2semidirect
15. #21435597C2semidirect
16. #21435592C2semidirect
17. #21435590C2semidirect
18. #21435110C2semidirect
19. #21435036C2semidirect
20. #21434900C2semidirect
21. #21434897C2semidirect
22. #21434859C2semidirect
23. #21434856C2semidirect
24. #21434193C2semidirect
25. #21434142C2semidirect
26. #21433321C2semidirect
27. #21433320C2semidirect
28. C2×#16837551C2semidirect
29. #450×D59C2semidirect
30. #21433126C2semidirect
31. C59×#3265C2semidirect
35. C2×#14273752C22semidirect
36. C2×#14273751C22semidirect
37. C2×#14273751C22semidirect
38. C22×#11745671C22semidirect
39. C2×SD16×D59C22semidirect
40. C2×SD16×D59C22semidirect
41. #16838123C22semidirect
43. #16838093C22semidirect
44. #16838092C22semidirect
47. Q8×C22⋊D59C22semidirect
48. #16838060C22semidirect
49. #16838052C22semidirect
50. #16838051C22semidirect
66. #16837956C22semidirect
68. #16837931C22semidirect
69. #16837912C22semidirect
70. #16837909C22semidirect
71. C2×#14273703C22semidirect
72. C22⋊Q8×D59C22semidirect
81. #16837792C22semidirect
82. #16837773C22semidirect
83. #16837773C22semidirect
84. #16837767C22semidirect
85. #16837766C22semidirect
86. #16837747C22semidirect
87. #16837747C22semidirect
88. #16837739C22semidirect
89. #16837736C22semidirect
90. #16837736C22semidirect
91. #16837729C22semidirect
92. #16837727C22semidirect
93. #16837725C22semidirect
94. #16837723C22semidirect
95. #16837719C22semidirect
96. #16837717C22semidirect
97. #16837716C22semidirect
98. #16837714C22semidirect
99. #16837713C22semidirect
100. #16837703C22semidirect
101. #16837702C22semidirect
102. #16837681C22semidirect
103. #16837680C22semidirect
104. #16837651C22semidirect
105. #16837651C22semidirect
106. #16837650C22semidirect
107. #16837648C22semidirect
108. #16837646C22semidirect
109. #16837645C22semidirect
110. #16837645C22semidirect
111. #16837637C22semidirect
112. #16837636C22semidirect
113. #16837635C22semidirect
114. #16837634C22semidirect
115. #16837631C22semidirect
116. #16837629C22semidirect
117. #16837628C22semidirect
118. #16837614C22semidirect
119. #16837606C22semidirect
120. #16837605C22semidirect
121. #16837603C22semidirect
122. #16837602C22semidirect
123. #16837600C22semidirect
124. #16837600C22semidirect
125. #16837599C22semidirect
126. #16837595C22semidirect
127. #16837595C22semidirect
128. #16837555C22semidirect
129. #16837555C22semidirect
131. #16837554C22semidirect
132. #16837554C22semidirect
133. #16837553C22semidirect
134. #16837553C22semidirect
135. #16837552C22semidirect
138. #16837551C22semidirect
139. #16837551C22semidirect
140. #16837551C22semidirect
141. #16837551C22semidirect
142. #16837551C22semidirect
143. #16837551C22semidirect
144. #16837551C22semidirect
145. #16837551C22semidirect
146. #16837551C22semidirect
147. #16837551C22semidirect
148. #16837548C22semidirect
149. #16837547C22semidirect
150. #16837544C22semidirect
151. #16837542C22semidirect
152. #16837541C22semidirect
153. #16837539C22semidirect
154. #16837535C22semidirect
156. #16837534C22semidirect
157. #16837534C22semidirect
158. #16837534C22semidirect
159. #16837534C22semidirect
160. #16837504C22semidirect
161. #16837502C22semidirect
162. #16837500C22semidirect
163. SD16×Dic59C22semidirect
164. #16837487C22semidirect
165. D8×Dic59C22semidirect
166. #16837482C22semidirect
167. #16837478C22semidirect
168. #16837477C22semidirect
169. #16837475C22semidirect
170. #16837474C22semidirect
171. #16837472C22semidirect
172. C8×C22⋊D59C22semidirect
173. (C22⋊D59)⋊C8C22semidirect
174. #16837457C22semidirect
175. #16837454C22semidirect
176. #16837408C22semidirect
177. #16837407C22semidirect
178. #16837405C22semidirect
179. #16837405C22semidirect
180. C2×#14273649C22semidirect
181. C2×#14273648C22semidirect
182. #102×D59C22semidirect
183. #102×D59C22semidirect
184. #16837365C22semidirect
185. #16837364C22semidirect
186. C2×(C2×D59)⋊C8C22semidirect
187. C22⋊C8×D59C22semidirect
188. C2×AGL(1,ℤ/8)×C59C22semidirect
189. C22×SD16×C59C22semidirect
190. C59×#548C22semidirect
192. C59×#496C22semidirect
193. C59×#468C22semidirect
194. C59×#466C22semidirect
195. C59×#463C22semidirect
196. C59×#460C22semidirect
197. C59×#450C22semidirect
198. C59×#449C22semidirect
199. C59×#448C22semidirect
200. C59×#447C22semidirect
201. C59×#440C22semidirect
202. C59×#435C22semidirect
206. C2×#11745687C23semidirect
207. C2×Q8×D59C23semidirect
247. C2×#11745660C23semidirect
248. C2×#11745660C23semidirect
250. C2×#11745670C23semidirect
251. C2×#11745670C23semidirect
255. C2×#11745671C23semidirect
256. C2×#11745671C23semidirect
257. C2×#11745671C23semidirect
258. C2×#11745671C23semidirect
262. C2×#11745669C23semidirect
263. C2×#11745669C23semidirect
264. C2×#11745664C23semidirect
265. C2×#11745659C23semidirect
266. C2×#11745659C23semidirect
267. C22×C59⋊C8C23semidirect
268. C2×C8×D59C23semidirect
269. C2×C8×D59C23semidirect
270. #14273726C23semidirect
272. #14273725C23semidirect
283. #14273719C23semidirect
300. #14273706C23semidirect
301. #14273706C23semidirect
312. #14273703C23semidirect
313. #14273703C23semidirect
314. #14273703C23semidirect
335. #14273698C23semidirect
352. Q8×Dic59C23semidirect
354. C4×Dic118C23semidirect
361. D4×Dic59C23semidirect
376. #14273686C23semidirect
377. #14273685C23semidirect
382. C2×C4⋊Dic59C23semidirect
388. C4⋊C4×D59C23semidirect
397. #14273661C23semidirect
398. #14273661C23semidirect
399. #14273660C23semidirect
400. #14273660C23semidirect
401. #14273660C23semidirect
402. #14273659C23semidirect
403. #14273658C23semidirect
404. C4⋊(C59⋊C8)C23semidirect
405. Dic59⋊C8C23semidirect
406. Dic59⋊C8C23semidirect
407. #14273652C23semidirect
408. #14273651C23semidirect
409. #14273651C23semidirect
410. #14273650C23semidirect
414. #14273649C23semidirect
415. #14273649C23semidirect
416. #14273649C23semidirect
417. #14273649C23semidirect
418. #14273649C23semidirect
419. #14273649C23semidirect
423. #14273648C23semidirect
424. #14273648C23semidirect
425. #14273648C23semidirect
426. #14273648C23semidirect
427. #14273648C23semidirect
428. #14273648C23semidirect
429. #14273648C23semidirect
431. #14273647C23semidirect
432. #14273647C23semidirect
433. C22⋊(C59⋊C8)C23semidirect
434. C22⋊(C59⋊C8)C23semidirect
439. (C2×D59)⋊C8C23semidirect
440. (C2×D59)⋊C8C23semidirect
441. (C2×D59)⋊C8C23semidirect
442. (C2×D59)⋊C8C23semidirect
443. #14273638C23semidirect
444. C8×Dic59C23semidirect
445. C8×Dic59C23semidirect
446. C2×#41×C59C23semidirect
447. C22×Q8×C59C23semidirect
455. C2×SD16×C59C23semidirect
456. C2×SD16×C59C23semidirect
457. C2×SD16×C59C23semidirect
458. C2×SD16×C59C23semidirect
460. C2×D8×C59C23semidirect
461. C2×D8×C59C23semidirect
462. C2×M16×C59C23semidirect
463. C22×C8×C59C23semidirect
466. #124×C59C23semidirect
468. C22⋊Q8×C59C23semidirect
473. #121×C59C23semidirect
476. C4×Q8×C59C23semidirect
480. #107×C59C23semidirect
481. C4⋊C8×C59C23semidirect
482. #103×C59C23semidirect
483. #103×C59C23semidirect
485. #102×C59C23semidirect
486. #102×C59C23semidirect
487. #102×C59C23semidirect
488. C22⋊C8×C59C23semidirect
489. C22⋊C8×C59C23semidirect
490. #97×C59C23semidirect
865. C22⋊D59AGL(1,ℤ/8)semidirect
1012. #3265D59semidirect
1047. C2×AGL(1,ℤ/8)C2×D59semidirect
1051. C22×SD16C2×D59semidirect
1060. #548C2×D59semidirect
1095. #496C2×D59semidirect
1125. #468C2×D59semidirect
1129. #466C2×D59semidirect
1135. #463C2×D59semidirect
1143. #460C2×D59semidirect
1166. #450C2×D59semidirect
1170. #449C2×D59semidirect
1174. #448C2×D59semidirect
1181. #447C2×D59semidirect
1185. #440C2×D59semidirect
1195. #435C2×D59semidirect
1212. C59#61600semidirect
1217. C2×#41C22×D59semidirect
1219. C22×Q8C22×D59semidirect
1280. C2×SD16C22×D59semidirect
1281. C2×SD16C22×D59semidirect
1282. C2×SD16C22×D59semidirect
1283. C2×SD16C22×D59semidirect
1288. C2×D8C22×D59semidirect
1289. C2×D8C22×D59semidirect
1293. C2×M16C22×D59semidirect
1297. C22×C8C22×D59semidirect
1319. #124C22×D59semidirect
1347. C22⋊Q8C22×D59semidirect
1373. #121C22×D59semidirect
1396. C4×Q8C22×D59semidirect
1446. #107C22×D59semidirect
1452. C4⋊C8C22×D59semidirect
1457. #103C22×D59semidirect
1458. #103C22×D59semidirect
1482. #102C22×D59semidirect
1483. #102C22×D59semidirect
1484. #102C22×D59semidirect
1495. C22⋊C8C22×D59semidirect
1496. C22⋊C8C22×D59semidirect
1498. #97C22×D59semidirect

Maximal subgroups

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

subgroupindex
#214381382
D42×D592
#214363222
#214363202
#214361242
#214361222
#214361192
#214361172
#214359042
#214359022
SD16×C22⋊D592
#214357852
#214356902
#214356892
#214355972
#214355922
#214355902
#214351102
#214350362
#214349002
#214348972
#214348592
#214348562
#214341932
#214341422
#214333212
#214333202
C2×#168375512
#450×D592
#214331262
C59×#32652
#6160059