Finite Group Databasebeta

← #36289942

Subgroups — #36289942

Order 21248.

2290 conjugacy classes of subgroups.

The subgroup lattice has 1992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24921784C211yesmaximal, characteristic, complemented
2#24921093C211yesmaximal, characteristic, complemented
3#24919700C211yesmaximal, characteristic, complemented
4#24919671C211yesmaximal, characteristic, complemented
5#24919623C211yesmaximal, characteristic, complemented
6#24919609C211yesmaximal, characteristic, complemented
7#24919486C211yesmaximal, characteristic, complemented
8#24919430C211yesmaximal, characteristic, complemented
9#24919298C211yesmaximal, characteristic, complemented
10#24919269C211yesmaximal, characteristic, complemented
11#24919141C211yesmaximal, characteristic, complemented
12D4×#13050575C211yesmaximal, characteristic, complemented
13#24919086C211yesmaximal, characteristic, complemented
14#24919068C211yesmaximal, characteristic, complemented
15#24919002C211yesmaximal, characteristic, complemented
16#24918943C211yesmaximal, characteristic, complemented
17#24918936C211yesmaximal, characteristic, complemented
18#24918556C211yesmaximal, characteristic, complemented
19#24918508C211yesmaximal, characteristic, complemented
20#24918326C211yesmaximal, characteristic, complemented
21#24918310C211yesmaximal, characteristic, complemented
22#24918280C211yesmaximal, characteristic, complemented
23#24918252C211yesmaximal, characteristic, complemented
24#24917704C211yesmaximal, characteristic, complemented
25#24917645C211yesmaximal, characteristic, complemented
26#24916765C211yesmaximal, characteristic, complemented
27#24916730C211yesmaximal, characteristic, complemented
28#24916687C211yesmaximal, characteristic, complemented
29C2×#19127833C211yesmaximal, characteristic, complemented
30#24916512C211yesmaximal, characteristic, complemented
31C83×#3264C211yesmaximal, characteristic, complemented
32C2×#14581838C2211yescharacteristic, complemented
33C22×D4×D83C2211yescharacteristic, complemented
34C2×#14581816C2211yescharacteristic, complemented
35C2×#14581816C2211yescharacteristic, complemented
36C2×#14581816C2211yescharacteristic, complemented
37C2×#14581813C2211yescharacteristic, complemented
38C22×#13050575C2211yescharacteristic, complemented
39C22×#13050575C2211yescharacteristic, complemented
40#19128446—21no—
41#19128440—21no—
42#19128415C2211yescharacteristic, complemented
43#19128401C2211yescharacteristic, complemented
44#19128391C2211yescharacteristic, complemented
45#19128382—21no—
46#19128371C2211yescharacteristic, complemented
47#19128351C2211yescharacteristic, complemented
48#19128345—21no—
49#19128345C2211yescharacteristic, complemented
50#19128345C2211yescharacteristic, complemented
51#19128344C2211yescharacteristic, complemented
52#19128343—21no—
53#19128342C2211yescharacteristic, complemented
54#19128341—21no—
55#19128339C2211yescharacteristic, complemented
56D4×D332C2211yescharacteristic
57D4×D332C2211yescharacteristic, complemented
58#19128335—21no—
59#19128335C2211yescharacteristic, complemented
60D4×C22⋊D83C2211yescharacteristic, complemented
61#19128333—21no—
62#19128316C2211yescharacteristic, complemented
63#19128305C2211yescharacteristic, complemented
64#19128301—21no—
65#19128286—21no—
66#19128280C2211yescharacteristic, complemented
67#19128269C2211yescharacteristic, complemented
68#19128268C2211yescharacteristic, complemented
69#19128267C2211yescharacteristic, complemented
70#19128266—21no—
71#19128262—21no—
72#19128260—21no—
73#19128259—21no—
74#19128214C2211yescharacteristic, complemented
75#19128211C2211yescharacteristic, complemented
76#19128210C2211yescharacteristic
77C2×#14581763C2211yescharacteristic, complemented
78C2×#14581762—21no—
79#120×D83—21no—
80#19128173C2211yescharacteristic, complemented
81#19128089C2211yescharacteristic, complemented
82#19128082C2211yescharacteristic, complemented
83#19128077C2211yescharacteristic, complemented
84#19128066C2211yescharacteristic, complemented
85#19128062C2211yescharacteristic, complemented
86#19128055C2211yescharacteristic, complemented
87#19128046C2211yescharacteristic, complemented
88#19128045C2211yescharacteristic, complemented
89#19128040C2211yescharacteristic, complemented
90#19128029C2211yescharacteristic, complemented
91#19128027C2211yescharacteristic, complemented
92#19128026C2211yescharacteristic, complemented
93#19128024C2211yescharacteristic, complemented
94#19128023C2211yescharacteristic, complemented
95#19128023C2211yescharacteristic, complemented
96#19128022C2211yescharacteristic, complemented
97#19128021C2211yescharacteristic, complemented
98#19128015C2211yescharacteristic, complemented
99#19128013C2211yescharacteristic, complemented
100#19128002C2211yescharacteristic, complemented
101#19128001C2211yescharacteristic, complemented
102#19127990C2211yescharacteristic, complemented
103#19127979C2211yescharacteristic, complemented
104#19127953C2211yescharacteristic, complemented
105#19127953C2211yescharacteristic, complemented
106#19127953C2211yescharacteristic, complemented
107#19127951C2211yescharacteristic, complemented
108#19127947C2211yescharacteristic, complemented
109#19127944C2211yescharacteristic, complemented
110#19127944C2211yescharacteristic, complemented
111#19127940C2211yescharacteristic, complemented
112#19127936C2211yescharacteristic, complemented
113#19127935C2211yescharacteristic, complemented
114#19127935C2211yescharacteristic, complemented
115#19127934C2211yescharacteristic, complemented
116#19127930C2211yescharacteristic, complemented
117#19127928C2211yescharacteristic, complemented
118#19127920C2211yescharacteristic, complemented
119#19127918C2211yescharacteristic, complemented
120#19127918C2211yescharacteristic, complemented
121#19127915C2211yescharacteristic, complemented
122#19127914C2211yescharacteristic, complemented
123#19127902C2211yescharacteristic, complemented
124#19127896C2211yescharacteristic, complemented
125#19127894C2211yescharacteristic, complemented
126#19127894C2211yescharacteristic, complemented
127#19127893C2211yescharacteristic, complemented
128#19127866C2211yescharacteristic, complemented
129#19127863C2211yescharacteristic, complemented
130#19127860C2211yescharacteristic, complemented
131#19127854C2211yescharacteristic, complemented
132#19127854C2211yescharacteristic, complemented
133#19127853C2211yescharacteristic, complemented
134#19127853C2211yescharacteristic, complemented
135#19127852C2211yescharacteristic, complemented
136#19127847C2211yescharacteristic, complemented
137#19127847C2211yescharacteristic, complemented
138#19127845C2211yescharacteristic, complemented
139#19127845C2211yescharacteristic, complemented
140#19127845C2211yescharacteristic, complemented
141#19127845C2211yescharacteristic, complemented
142#19127845C2211yescharacteristic, complemented
143#19127843C2211yescharacteristic, complemented
144#19127835C2211yescharacteristic, complemented
145#19127835C2211yescharacteristic, complemented
146#19127834C2211yescharacteristic, complemented
147#19127834C2211yescharacteristic, complemented
148#19127833C2211yescharacteristic
149#19127833C2211yescharacteristic, complemented
150#19127833C2211yescharacteristic, complemented
151#19127833C2211yescharacteristic, complemented
152#19127833C2211yescharacteristic, complemented
153#19127833C2211yescharacteristic, complemented
154#19127833C2211yescharacteristic, complemented
155#19127833C2211yescharacteristic, complemented
156#19127833C2211yescharacteristic, complemented
157#19127833C2211yescharacteristic, complemented
158#19127833C2211yescharacteristic, complemented
159#19127833C2211yescharacteristic, complemented
160#19127813C2211yescharacteristic, complemented
161#19127810C2211yescharacteristic, complemented
162#19127803C2211yescharacteristic, complemented
163C4×#13050578C2211yescharacteristic, complemented
164D8×Dic83C2211yescharacteristic, complemented
165C4×#13050575C2211yescharacteristic, complemented
166#19127781C2211yescharacteristic, complemented
167#19127778C2211yescharacteristic, complemented
168#19127777C2211yescharacteristic, complemented
169#19127774C2211yescharacteristic, complemented
170#19127772C2211yescharacteristic, complemented
171#19127769C2211yescharacteristic, complemented
172D4×C83⋊C8C2211yescharacteristic, complemented
173(C22⋊D83)⋊C8C2211yescharacteristic, complemented
174#19127763C2211yescharacteristic, complemented
175#19127761C2211yescharacteristic, complemented
176#19127707C2211yescharacteristic, complemented
177#19127704C2211yescharacteristic, complemented
178#19127704C2211yescharacteristic, complemented
179#19127701C2211yescharacteristic, complemented
180#19127697C2211yescharacteristic, complemented
181C2×#14581714C2211yescharacteristic, complemented
182C2×#14581713C2211yescharacteristic, complemented
183#102×D83C2211yescharacteristic, complemented
184#19127669C2211yescharacteristic, complemented
185#19127666C2211yescharacteristic, complemented
186#19127663C2211yescharacteristic, complemented
187C2×(C2×D83)⋊C8C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C83C2211yescharacteristic, complemented
189C22×D8×C83C2211yescharacteristic, complemented
190#546×C83C2211yescharacteristic
191D42×C83C2211yescharacteristic, complemented
192#496×C83C2211yescharacteristic, complemented
193#469×C83C2211yescharacteristic, complemented
194#465×C83C2211yescharacteristic, complemented
195#463×C83C2211yescharacteristic, complemented
196#459×C83C2211yescharacteristic, complemented
197#450×C83C2211yescharacteristic, complemented
198#449×C83C2211yescharacteristic, complemented
199#447×C83C2211yescharacteristic, complemented
200#447×C83C2211yescharacteristic, complemented
201#442×C83C2211yescharacteristic, complemented
202#435×C83C2211yescharacteristic, complemented
203C24×D83—21no—
204#14581838—42no—
205#14581838—42no—
206C2×#13050591C2311yescharacteristic
207C2×#13050591C2311yescharacteristic
208C2×#13050590—21no—
209C2×#13050590C2311yescharacteristic
210C2×#13050589—21no—
211C2×#13050589C2311yescharacteristic
212C2×#13050589C2311yescharacteristic, complemented
213C22×D332—21no—
214C22×D332—21no—
215C22×D332C2311yescharacteristic
216C22×D332C2311yescharacteristic
217C22×C22⋊D83—21no—
218C22×C22⋊D83—21no—
219C22×C22⋊D83—21no—
220C2×D4×D83—21no—
221C2×D4×D83—21no—
222C2×D4×D83—21no—
223C2×D4×D83—21no—
224C2×D4×D83—21no—
225C2×D4×D83—21no—
226C2×D4×D83—42no—
227C2×D4×D83—42no—
228C2×D4×D83C2311yescharacteristic
229C2×D4×D83C2311yescharacteristic
230C2×D4×D83C2311yescharacteristic
231C2×D4×D83C2311yescharacteristic
232C2×D4×D83C2311yescharacteristic
233C22×C4×D83C2311yescharacteristic
234#14581816—42no—
235#14581816—42no—
236#14581816—42no—
237#14581813—42no—
238C2×#13050580C2311yescharacteristic, complemented
239C2×#13050579C2311yescharacteristic
240C2×#13050579C2311yescharacteristic
241C2×#13050579C2311yescharacteristic, complemented
242C2×#13050578C2311yescharacteristic
243C2×#13050578C2311yescharacteristic
244C2×#13050575—42no—
245C2×#13050575—42no—
246C2×#13050575C2311yescharacteristic
247C2×#13050575C2311yescharacteristic
248C2×#13050575C2311yescharacteristic
249C2×#13050575C2311yescharacteristic
250C2×#13050575C2311yescharacteristic
251C2×#13050575C2311yescharacteristic
252C2×#13050575C2311yescharacteristic, complemented
253C2×#13050575C2311yescharacteristic, complemented
254C2×#13050575C2311yescharacteristic, complemented
255C2×#13050573C2311yescharacteristic
256C2×#13050573C2311yescharacteristic
257C2×#13050573C2311yescharacteristic, complemented
258C22×C83⋊C8C2311yescharacteristic
259C22×C83⋊C8C2311yescharacteristic, complemented
260C2×C8×D83C2311yescharacteristic, complemented
261#14581791C2311yescharacteristic, complemented
262#14581789C2311yescharacteristic
263#14581788—21no—
264#14581788—21no—
265#14581788—21no—
266#14581788C2311yescharacteristic
267#14581785—21no—
268#14581785—21no—
269#14581785—21no—
270#14581784C2311yescharacteristic, complemented
271#14581782—21no—
272#14581781C2311yescharacteristic
273#14581779—21no—
274#14581779—21no—
275#14581779C2311yescharacteristic, complemented
276#14581778—21no—
277#14581778—21no—
278#14581778—21no—
279#14581777—21no—
280#14581777—21no—
281#14581777D411yescharacteristic
282#14581775—21no—
283#14581775—21no—
284#14581775—21no—
285#14581774—21no—
286#14581774—21no—
287#14581774—21no—
288#14581774D411yescharacteristic
289#14581773—21no—
290#14581773—21no—
291#14581773—21no—
292#14581773—21no—
293#14581773—21no—
294#14581773—21no—
295#14581772C2311yescharacteristic
296#14581771—21no—
297#14581771C2311yescharacteristic
298#14581771C2311yescharacteristic, complemented
299#14581770D411yescharacteristic
300#14581769—21no—
301#14581769—21no—
302#14581769D411yescharacteristic
303#14581768C2311yescharacteristic
304#14581767—21no—
305#14581767—21no—
306#14581767C2311yescharacteristic
307#14581767C2311yescharacteristic
308#14581766—21no—
309#14581766C2311yescharacteristic
310#14581766C2311yescharacteristic
311#14581765—21no—
312#14581765—21no—
313#14581765—21no—
314#14581765—21no—
315#14581765—21no—
316#14581765—21no—
317#14581765D411yescharacteristic
318#14581764—21no—
319#14581764—21no—
320#14581764—21no—
321#14581764—21no—
322#14581764—21no—
323#14581764—21no—
324#14581764—21no—
325#14581764—21no—
326#14581764—21no—
327#14581764—21no—
328#14581764D411yescharacteristic
329#14581763—21no—
330#14581763—21no—
331#14581763—21no—
332#14581763C2311yescharacteristic
333#14581763C2311yescharacteristic
334#14581763C2311yescharacteristic
335#14581763C2311yescharacteristic
336#14581763C2311yescharacteristic
337#14581763C2311yescharacteristic
338#14581763C2311yescharacteristic, complemented
339#14581763C2311yescharacteristic, complemented
340#14581762—21no—
341#14581762—21no—
342#14581762—21no—
343#14581762—21no—
344#14581762—21no—
345#14581762—21no—
346#14581762—21no—
347#14581762—21no—
348#14581762—21no—
349#14581762—21no—
350#14581762—21no—
351#14581762D411yescharacteristic
352#14581761—21no—
353#14581761—21no—
354#14581761—21no—
355#14581761—21no—
356#14581761—21no—
357#14581760—21no—
358#14581760—21no—
359#14581760—21no—
360#14581760—21no—
361#14581760—21no—
362#14581760D411yescharacteristic
363C4×Dic166C2311yescharacteristic, complemented
364C4×D332C2311yescharacteristic
365C4×D332C2311yescharacteristic
366D4×Dic83—21no—
367D4×Dic83—21no—
368D4×Dic83C2311yescharacteristic
369D4×Dic83C2311yescharacteristic, complemented
370D4×Dic83C2311yescharacteristic, complemented
371#14581754—21no—
372#14581754C2311yescharacteristic
373C4×C22⋊D83—21no—
374C4×C22⋊D83—21no—
375C4×C22⋊D83C2311yescharacteristic
376C4×C22⋊D83C2311yescharacteristic
377(C22⋊D83)⋊C4—21no—
378(C22⋊D83)⋊C4—21no—
379(C22⋊D83)⋊C4—21no—
380#14581751C2311yescharacteristic, complemented
381#14581750C2311yescharacteristic
382#14581750C2311yescharacteristic
383#14581749C2311yescharacteristic
384#14581748—21no—
385#14581748—21no—
386C2×C4⋊Dic83C2311yescharacteristic
387C4⋊C4×D83C2311yescharacteristic, complemented
388C2×C22⋊Dic83—21no—
389C2×C22⋊Dic83—21no—
390C2×C22⋊Dic83—21no—
391C2×(C2×D83)⋊C4—21no—
392C2×(C2×D83)⋊C4—21no—
393C22⋊C4×D83—21no—
394C22⋊C4×D83—21no—
395C22⋊C4×D83—21no—
396#14581726C2311yescharacteristic, complemented
397#14581726C2311yescharacteristic, complemented
398#14581725C2311yescharacteristic, complemented
399#14581725C2311yescharacteristic, complemented
400#14581724C2311yescharacteristic, complemented
401#14581723C2311yescharacteristic, complemented
402#14581723C2311yescharacteristic, complemented
403C4⋊(C83⋊C8)C2311yescharacteristic, complemented
404Dic83⋊C8C2311yescharacteristic, complemented
405Dic83⋊C8C2311yescharacteristic, complemented
406#14581717C2311yescharacteristic, complemented
407#14581716C2311yescharacteristic, complemented
408#14581716C2311yescharacteristic, complemented
409#14581716C2311yescharacteristic, complemented
410#14581715C2311yescharacteristic, complemented
411#14581714C2311yescharacteristic
412#14581714C2311yescharacteristic
413#14581714C2311yescharacteristic
414#14581714C2311yescharacteristic
415#14581714C2311yescharacteristic
416#14581714C2311yescharacteristic
417#14581714C2311yescharacteristic, complemented
418#14581714C2311yescharacteristic, complemented
419#14581714C2311yescharacteristic, complemented
420#14581713C2311yescharacteristic
421#14581713C2311yescharacteristic
422#14581713C2311yescharacteristic
423#14581713C2311yescharacteristic
424#14581713C2311yescharacteristic
425#14581713C2311yescharacteristic
426#14581713C2311yescharacteristic, complemented
427#14581713C2311yescharacteristic, complemented
428#14581713C2311yescharacteristic, complemented
429#14581712C2311yescharacteristic
430#14581712C2311yescharacteristic
431#14581712C2311yescharacteristic, complemented
432C22⋊(C83⋊C8)C2311yescharacteristic
433C22⋊(C83⋊C8)C2311yescharacteristic, complemented
434(C2×D83)⋊C8C2311yescharacteristic
435(C2×D83)⋊C8C2311yescharacteristic
436(C2×D83)⋊C8C2311yescharacteristic
437(C2×D83)⋊C8C2311yescharacteristic
438(C2×D83)⋊C8C2311yescharacteristic
439(C2×D83)⋊C8C2311yescharacteristic
440(C2×D83)⋊C8C2311yescharacteristic, complemented
441(C2×D83)⋊C8C2311yescharacteristic, complemented
442#14581702C2311yescharacteristic, complemented
443C4×C83⋊C8C2311yescharacteristic, complemented
444C8×Dic83C2311yescharacteristic, complemented
445C2×#41×C83C2311yescharacteristic
446C22×D4×C83—21no—
447C22×D4×C83C2311yescharacteristic
448C22×D4×C83C2311yescharacteristic
449C22×D4×C83C2311yescharacteristic, complemented
450AGL(1,ℤ/8)×C83—42no—
451C2×SD16×C83C2311yescharacteristic, complemented
452C2×SD16×C83C2311yescharacteristic, complemented
453C2×SD16×C83C2311yescharacteristic, complemented
454C2×D8×C83—42no—
455C2×D8×C83C2311yescharacteristic
456C2×D8×C83C2311yescharacteristic
457C2×D8×C83C2311yescharacteristic
458C2×D8×C83C2311yescharacteristic
459C2×D8×C83C2311yescharacteristic
460C2×D8×C83C2311yescharacteristic
461C2×M16×C83C2311yescharacteristic, complemented
462C22×C8×C83C2311yescharacteristic
463#127×C83C2311yescharacteristic, complemented
464#124×C83C2311yescharacteristic
465#123×C83—21no—
466C22⋊Q8×C83C2311yescharacteristic
467#121×C83—21no—
468#121×C83—21no—
469#121×C83C2311yescharacteristic
470#121×C83C2311yescharacteristic
471#121×C83C2311yescharacteristic, complemented
472#120×C83—21no—
473#120×C83—21no—
474#120×C83—21no—
475C4×D4×C83C2311yescharacteristic
476C4×D4×C83C2311yescharacteristic
477C4×D4×C83C2311yescharacteristic, complemented
478C2×C22⋊C4×C83—21no—
479#106×C83C2311yescharacteristic, complemented
480C4⋊C8×C83C2311yescharacteristic, complemented
481#103×C83C2311yescharacteristic, complemented
482#102×C83C2311yescharacteristic
483#102×C83C2311yescharacteristic
484#102×C83C2311yescharacteristic, complemented
485#102×C83C2311yescharacteristic, complemented
486#102×C83C2311yescharacteristic, complemented
487C22⋊C8×C83C2311yescharacteristic
488C22⋊C8×C83C2311yescharacteristic, complemented
489#97×C83C2311yescharacteristic, complemented
490C23×D83—21no—
491C23×D83—21no—
492C23×D83—21no—
493C23×D83—21no—
494C23×D83—21no—
495C23×D83—21no—
496C23×D83—21no—
497C23×D83—44no—
498C23×D83—82no—
499C23×D83—82no—
500C23×D83C2×D411yescharacteristic
501#13050591—22no—
502#13050591—41no—
503#13050591—41no—
504#13050591—41no—
505#13050590—41no—
506#13050590—41no—
507#13050590—44no—
508#13050589—41no—
509#13050589—41no—
510#13050589—41no—
511#13050589—41no—
512#13050589—82no—
513C2×Dic166—21no—
514C2×Dic166C2×D411yescharacteristic
515C2×Dic166C2411yescharacteristic
516C2×D332—22no—
517C2×D332—22no—
518C2×D332—21no—
519C2×D332—21no—
520C2×D332—21no—
521C2×D332—21no—
522C2×D332—21no—
523C2×D332—21no—
524C2×D332—21no—
525C2×D332—21no—
526C2×D332—41no—
527C2×D332—41no—
528C2×D332—44no—
529C2×D332—82no—
530C2×D332C2×D411yescharacteristic
531C2×D332C2×D411yescharacteristic
532C2×D332C2411yescharacteristic
533C2×D332C2411yescharacteristic
534C2×D332C2411yescharacteristic
535C2×C22⋊D83—21no—
536C2×C22⋊D83—21no—
537C2×C22⋊D83—21no—
538C2×C22⋊D83—21no—
539C2×C22⋊D83—21no—
540C2×C22⋊D83—21no—
541C2×C22⋊D83—21no—
542C2×C22⋊D83—21no—
543C2×C22⋊D83—21no—
544C2×C22⋊D83—21no—
545C2×C22⋊D83—21no—
546C2×C22⋊D83—21no—
547C2×C22⋊D83—21no—
548C2×C22⋊D83—21no—
549C2×C22⋊D83—21no—
550C2×C22⋊D83—21no—
551C2×C22⋊D83—21no—
552C2×C22⋊D83—21no—
553C2×C22⋊D83—21no—
554C2×C22⋊D83—44no—
555C2×C22⋊D83—82no—
556C2×C22⋊D83—82no—
557C2×C22⋊D83C2×D411yescharacteristic
558C2×C22⋊D83C2×D411yescharacteristic
559C2×C22⋊D83C2×D411yescharacteristic
560C2×C22⋊D83C2×D411yescharacteristic
561D4×D83—22no—
562D4×D83—22no—
563D4×D83—22no—
564D4×D83—22no—
565D4×D83—22no—
566D4×D83—41no—
567D4×D83—41no—
568D4×D83—41no—
569D4×D83—41no—
570D4×D83—41no—
571D4×D83—44no—
572D4×D83—44no—
573D4×D83—44no—
574D4×D83—44no—
575D4×D83—82no—
576D4×D83—82no—
577C22×Dic83—21no—
578C22×Dic83—21no—
579C22×Dic83—21no—
580C22×Dic83—21no—
581C22×Dic83—21no—
582C22×Dic83—21no—
583C22×Dic83C2×D411yescharacteristic
584C2×C4×D83—21no—
585C2×C4×D83—21no—
586C2×C4×D83—21no—
587C2×C4×D83—21no—
588C2×C4×D83—21no—
589C2×C4×D83—41no—
590C2×C4×D83—41no—
591C2×C4×D83C2×D411yescharacteristic
592C2×C4×D83C2×D411yescharacteristic
593C2×C4×D83C2411yescharacteristic
594C2×C4×D83C2411yescharacteristic
595C2×C4×D83C2411yescharacteristic
596#13050580—41no—
597#13050579—22no—
598#13050579—41no—
599#13050579—41no—
600#13050578—22no—
601#13050578—41no—
602#13050575—22no—
603#13050575—22no—
604#13050575—22no—
605#13050575—41no—
606#13050575—41no—
607#13050575—41no—
608#13050575—41no—
609#13050575—41no—
610#13050575—41no—
611#13050573—41no—
612#13050573—41no—
613#13050573—41no—
614C2×C83⋊C8—41no—
615C2×C83⋊C8—41no—
616C2×C83⋊C8C2411yescharacteristic
617C2×C83⋊C8C2411yescharacteristic
618C2×C83⋊C8C2411yescharacteristic
619C2×C83⋊C8C2411yescharacteristic
620C8×D83—41no—
621C4⋊Dic83—21no—
622C4⋊Dic83—21no—
623C4⋊Dic83C2×D411yescharacteristic
624C4⋊Dic83C2411yescharacteristic
625C4⋊Dic83C2411yescharacteristic
626C4⋊Dic83C2411yescharacteristic
627C4⋊Dic83C2411yescharacteristic
628Dic83⋊C4—21no—
629Dic83⋊C4—21no—
630Dic83⋊C4—21no—
631Dic83⋊C4—21no—
632Dic83⋊C4—21no—
633Dic83⋊C4—21no—
634Dic83⋊C4—21no—
635Dic83⋊C4—21no—
636Dic83⋊C4C2×D411yescharacteristic
637Dic83⋊C4C2×D411yescharacteristic
638Dic83⋊C4C2×D411yescharacteristic
639Dic83⋊C4C2×D411yescharacteristic
640C22⋊Dic83—21no—
641C22⋊Dic83—21no—
642C22⋊Dic83—21no—
643C22⋊Dic83—21no—
644C22⋊Dic83—21no—
645C22⋊Dic83—21no—
646C22⋊Dic83—21no—
647C22⋊Dic83—21no—
648C22⋊Dic83—21no—
649C22⋊Dic83—21no—
650C22⋊Dic83—21no—
651C22⋊Dic83—21no—
652C22⋊Dic83—21no—
653C22⋊Dic83—21no—
654C22⋊Dic83—21no—
655C22⋊Dic83—21no—
656C22⋊Dic83C2×D411yescharacteristic
657C22⋊Dic83C2×D411yescharacteristic
658(C2×D83)⋊C4—21no—
659(C2×D83)⋊C4—21no—
660(C2×D83)⋊C4—21no—
661(C2×D83)⋊C4—21no—
662(C2×D83)⋊C4—21no—
663(C2×D83)⋊C4—21no—
664(C2×D83)⋊C4—21no—
665(C2×D83)⋊C4—21no—
666(C2×D83)⋊C4—21no—
667(C2×D83)⋊C4—21no—
668(C2×D83)⋊C4—21no—
669(C2×D83)⋊C4—21no—
670(C2×D83)⋊C4C2×D411yescharacteristic
671(C2×D83)⋊C4C2×D411yescharacteristic
672(C2×D83)⋊C4C2×D411yescharacteristic
673(C2×D83)⋊C4C2×D411yescharacteristic
674(C2×D83)⋊C4C2×D411yescharacteristic
675(C2×D83)⋊C4C2×D411yescharacteristic
676C4×Dic83—21no—
677C4×Dic83—21no—
678C4×Dic83—21no—
679C4×Dic83—21no—
680C4×Dic83C2411yescharacteristic
681C24×C83—21no—
682C24×C83—21no—
683C24×C83—21no—
684#41×C83—22no—
685#41×C83—41no—
686C2×Q8×C83C2411yescharacteristic
687C2×D4×C83—22no—
688C2×D4×C83—21no—
689C2×D4×C83—21no—
690C2×D4×C83—21no—
691C2×D4×C83—21no—
692C2×D4×C83—21no—
693C2×D4×C83—21no—
694C2×D4×C83—21no—
695C2×D4×C83—21no—
696C2×D4×C83—21no—
697C2×D4×C83—41no—
698C2×D4×C83—41no—
699C2×D4×C83—41no—
700C2×D4×C83—41no—
701C2×D4×C83—41no—
702C2×D4×C83—82no—
703C2×D4×C83C2×D411yescharacteristic
704C2×D4×C83C2411yescharacteristic
705C2×D4×C83C2411yescharacteristic
706C2×D4×C83C2411yescharacteristic
707C2×D4×C83C2411yescharacteristic
708C2×D4×C83C2411yescharacteristic
709C22×C4×C83—21no—
710C22×C4×C83—21no—
711C22×C4×C83—21no—
712C22×C4×C83C2411yescharacteristic
713C22×C4×C83C2411yescharacteristic
714SD16×C83—41no—
715SD16×C83—41no—
716SD16×C83—41no—
717D8×C83—22no—
718D8×C83—22no—
719D8×C83—22no—
720D8×C83—41no—
721D8×C83—41no—
722D8×C83—41no—
723M16×C83—41no—
724C2×C8×C83—41no—
725C2×C8×C83C2411yescharacteristic
726C2×C8×C83C2411yescharacteristic
727C2×C8×C83C2411yescharacteristic
728C2×C8×C83C2411yescharacteristic
729C4⋊C4×C83—21no—
730C4⋊C4×C83C2×D411yescharacteristic
731C4⋊C4×C83C2411yescharacteristic
732C4⋊C4×C83C2411yescharacteristic
733C22⋊C4×C83—21no—
734C22⋊C4×C83—21no—
735C22⋊C4×C83—21no—
736C22⋊C4×C83—21no—
737C22⋊C4×C83—21no—
738C22⋊C4×C83—21no—
739C22⋊C4×C83—21no—
740C22⋊C4×C83—21no—
741C22⋊C4×C83C2×D411yescharacteristic
742C22⋊C4×C83C2×D411yescharacteristic
743C42×C83C2411yescharacteristic
744C23×C83—21no—
745C23×C83—21no—
746C23×C83—21no—
747C23×C83—21no—
748C23×C83—21no—
749C23×C83—42no—
750C23×C83—42no—
751C23×C83—42no—
752C23×C83—81no—
753C23×C83—81no—
754C23×C83—81no—
755C23×C83—81no—
756C23×C83—81no—
757C23×C83—81no—
758C23×C83C22×D411yescharacteristic
759C23×C83C22×D411yescharacteristic
760C22×D83—22no—
761C22×D83—21no—
762C22×D83—24no—
763C22×D83—21no—
764C22×D83—21no—
765C22×D83—41no—
766C22×D83—41no—
767C22×D83—42no—
768C22×D83—42no—
769C22×D83—42no—
770C22×D83—42no—
771C22×D83—42no—
772C22×D83—42no—
773C22×D83—42no—
774C22×D83—42no—
775C22×D83—42no—
776C22×D83—81no—
777C22×D83—81no—
778C22×D83—81no—
779C22×D83—81no—
780C22×D83—81no—
781C22×D83—81no—
782C22×D83—81no—
783C22×D83—81no—
784C22×D83—81no—
785C22×D83—81no—
786C22×D83—81no—
787C22×D83—816no—
788C22×D83C22×D411yescharacteristic
789C22×D83C22×D411yescharacteristic
790C22×D83C22×D411yescharacteristic
791Q8×C83—21no—
792Q8×C83—21no—
793D4×C83—22no—
794D4×C83—21no—
795D4×C83—21no—
796D4×C83—21no—
797D4×C83—21no—
798D4×C83—21no—
799D4×C83—21no—
800D4×C83—21no—
801D4×C83—21no—
802D4×C83—21no—
803D4×C83—42no—
804D4×C83—42no—
805D4×C83—42no—
806D4×C83—81no—
807D4×C83—81no—
808D4×C83—81no—
809D4×C83—81no—
810D4×C83—81no—
811D4×C83—81no—
812D4×C83H(5,𝔽2)12yes—
813C2×C4×C83—21no—
814C2×C4×C83—21no—
815C2×C4×C83—21no—
816C2×C4×C83—21no—
817C2×C4×C83—21no—
818C2×C4×C83—21no—
819C2×C4×C83—21no—
820C2×C4×C83—42no—
821C2×C4×C83—81no—
822C2×C4×C83—81no—
823C2×C4×C83C22×D411yescharacteristic
824C2×C4×C83C22×D411yescharacteristic
825C2×C4×C83C22×D411yescharacteristic
826C2×C4×C83C22×D411yescharacteristic
827C2×C4×C83C2511yescharacteristic
828C22⋊D83—24no—
829C22⋊D83—22no—
830C22⋊D83—41no—
831C22⋊D83—41no—
832C22⋊D83—41no—
833C22⋊D83—42no—
834C22⋊D83—42no—
835C22⋊D83—42no—
836C22⋊D83—42no—
837C22⋊D83—42no—
838C22⋊D83—81no—
839C22⋊D83—81no—
840C22⋊D83—81no—
841C22⋊D83—81no—
842C22⋊D83—81no—
843C22⋊D83—81no—
844C22⋊D83—81no—
845C22⋊D83—81no—
846C22⋊D83—81no—
847C22⋊D83—81no—
848C22⋊D83—81no—
849C22⋊D83—81no—
850C22⋊D83—81no—
851C2×Dic83—21no—
852C2×Dic83—21no—
853C2×Dic83—21no—
854C2×Dic83—21no—
855C2×Dic83—21no—
856C2×Dic83—41no—
857C2×Dic83—42no—
858C2×Dic83—81no—
859C2×Dic83—81no—
860C2×Dic83—81no—
861C2×Dic83—81no—
862C2×Dic83—81no—
863C2×Dic83C22×D411yescharacteristic
864C2×Dic83C22×D411yescharacteristic
865C2×Dic83C22×D411yescharacteristic
866C2×Dic83C22×D411yescharacteristic
867C2×Dic83C22×D411yescharacteristic
868D332—21no—
869D332—21no—
870D332—21no—
871D332—21no—
872D332—21no—
873D332—41no—
874D332—41no—
875D332—42no—
876D332—42no—
877D332—42no—
878D332—42no—
879D332—42no—
880D332—81no—
881D332—81no—
882D332—81no—
883D332H(5,𝔽2)12yes—
884C4×D83—21no—
885C4×D83—21no—
886C4×D83—21no—
887C4×D83—21no—
888C4×D83—21no—
889C4×D83—21no—
890C4×D83—41no—
891C4×D83—41no—
892C4×D83—42no—
893C4×D83—42no—
894C4×D83—81no—
895C4×D83—81no—
896C4×D83—81no—
897Dic166—21no—
898Dic166—21no—
899Dic166—41no—
900Dic166—81no—
901C8×C83—21no—
902C8×C83—21no—
903C8×C83—21no—
904C8×C83—21no—
905C83⋊C8—21no—
906C83⋊C8—21no—
907C83⋊C8—21no—
908C83⋊C8—21no—
909C22×C83—21no—
910C22×C83—21no—
911C22×C83—21no—
912C22×C83—22no—
913C22×C83—21no—
914C22×C83—21no—
915C22×C83—41no—
916C22×C83—41no—
917C22×C83—41no—
918C22×C83—41no—
919C22×C83—41no—
920C22×C83—41no—
921C22×C83—41no—
922C22×C83—41no—
923C22×C83—41no—
924C22×C83—41no—
925C22×C83—41no—
926C22×C83—41no—
927C22×C83—41no—
928C22×C83—41no—
929C22×C83—84no—
930C22×C83—162no—
931C22×C83—162no—
932C22×C83#57612yes—
933C22×C83C23×D411yescharacteristic
934C2×D83—21no—
935C2×D83—21no—
936C2×D83—21no—
937C2×D83—21no—
938C2×D83—21no—
939C2×D83—21no—
940C2×D83—22no—
941C2×D83—21no—
942C2×D83—21no—
943C2×D83—21no—
944C2×D83—44no—
945C2×D83—41no—
946C2×D83—41no—
947C2×D83—41no—
948C2×D83—41no—
949C2×D83—41no—
950C2×D83—41no—
951C2×D83—41no—
952C2×D83—41no—
953C2×D83—84no—
954C2×D83—84no—
955C2×D83—84no—
956C2×D83—84no—
957C2×D83—84no—
958C2×D83—162no—
959C2×D83—162no—
960C4×C83—21no—
961C4×C83—21no—
962C4×C83—21no—
963C4×C83—21no—
964C4×C83—41no—
965C4×C83—41no—
966C4×C83—41no—
967C4×C83C2×H(5,𝔽2)11yescharacteristic
968C4×C83C2×H(5,𝔽2)11yescharacteristic
969Dic83—21no—
970Dic83—21no—
971Dic83—21no—
972Dic83—21no—
973Dic83—21no—
974Dic83—41no—
975Dic83—41no—
976Dic83—41no—
977Dic83—41no—
978Dic83—41no—
979#61609—831nomaximal, Sylow
980C2×C83—22no—
981C2×C83—42no—
982C2×C83—41no—
983C2×C83—81no—
984C2×C83—81no—
985C2×C83—81no—
986C2×C83—81no—
987C2×C83#348411yescharacteristic
988C2×C83C2×#57611yescharacteristic
989C2×C83#358511yescharacteristic
990D83—41no—
991D83—41no—
992D83—41no—
993D83—42no—
994D83—81no—
995D83—81no—
996#3542—831no—
997#3484—831no—
998#3325—831no—
999#3322—831no—
1000#3319—831no—
1001#3318—831no—
1002#3310—831no—
1003#3306—831no—
1004#3296—831no—
1005#3294—831no—
1006#3280—831no—
1007D4×D8—831no—
1008#3274—831no—
1009#3273—831no—
1010#3268—831no—
1011#3264—831no—
1012#3264—831no—
1013#3264D8311yescharacteristic, complemented
1014#3224—831no—
1015#3220—831no—
1016#3199—831no—
1017#3198—831no—
1018#3194—831no—
1019#3191—831no—
1020#3122—831no—
1021#3118—831no—
1022#3012—831no—
1023#3008—831no—
1024#3003—831no—
1025C2×#447—831no—
1026#2976—831no—
1027C83#6160911yescharacteristic, complemented, Sylow
1028C2×H(5,𝔽2)—831no—
1029C23×D4—831no—
1030C2×AGL(1,ℤ/8)—831no—
1031C2×AGL(1,ℤ/8)—831no—
1032C2×AGL(1,ℤ/8)—831no—
1033C2×AGL(1,ℤ/8)C2×D8311yescharacteristic, complemented
1034C2×#135—831no—
1035C22×D8—831no—
1036C22×D8—831no—
1037C22×D8C2×D8311yescharacteristic, complemented
1038#562—1661no—
1039#560—1661no—
1040#555—831no—
1041#553—831no—
1042#552—831no—
1043#551—1661no—
1044#550—831no—
1045#547—831no—
1046#546—831no—
1047#546—831no—
1048#546—831no—
1049#546—831no—
1050#546—831no—
1051#546—1661no—
1052#546—1661no—
1053#546—1661no—
1054#546C2×D8311yescharacteristic
1055D42—831no—
1056D42—831no—
1057D42—831no—
1058D42—831no—
1059D42—1661no—
1060D42—1661no—
1061D42C2×D8311yescharacteristic, complemented
1062#542—831no—
1063#540—831no—
1064#540—1661no—
1065#538—1661no—
1066#537—831no—
1067#535—831no—
1068#535—831no—
1069#535—831no—
1070#535—1661no—
1071#534—1661no—
1072#534—1661no—
1073#534—1661no—
1074#525—831no—
1075#525—831no—
1076#525—831no—
1077C2×#121—831no—
1078C2×#120—1661no—
1079C2×#120—1661no—
1080#518—831no—
1081#496—831no—
1082#496C2×D8311yescharacteristic, complemented
1083#495—831no—
1084#493—831no—
1085#490—831no—
1086#489—831no—
1087#488—831no—
1088#486—831no—
1089#485—831no—
1090#485—831no—
1091#483—831no—
1092#482—831no—
1093#482—831no—
1094#482—831no—
1095#482—831no—
1096#482—831no—
1097#482—831no—
1098#481—831no—
1099#480—831no—
1100#480—831no—
1101#478—831no—
1102#478—831no—
1103#476—831no—
1104#474—831no—
1105#469—831no—
1106#469—831no—
1107#469—831no—
1108#469—831no—
1109#469C2×D8311yescharacteristic, complemented
1110#468—831no—
1111#468—831no—
1112#468—831no—
1113#467—831no—
1114#466—831no—
1115#466—831no—
1116#466—831no—
1117#466—831no—
1118#465—831no—
1119#465—831no—
1120#465C2×D8311yescharacteristic, complemented
1121#464—831no—
1122#463—831no—
1123#463—831no—
1124#463—831no—
1125#463—831no—
1126#463C2×D8311yescharacteristic, complemented
1127#460—831no—
1128#459—831no—
1129#459—831no—
1130#459—831no—
1131#459—831no—
1132#459C2×D8311yescharacteristic, complemented
1133#452—831no—
1134#452—831no—
1135#452—831no—
1136#450—831no—
1137#450—831no—
1138#450—831no—
1139#450—831no—
1140#450—831no—
1141#450C2×D8311yescharacteristic, complemented
1142#449—831no—
1143#449—831no—
1144#449—831no—
1145#449—831no—
1146#449—831no—
1147#449—831no—
1148#449—831no—
1149#449—831no—
1150#449C2×D8311yescharacteristic, complemented
1151#447—831no—
1152#447—831no—
1153#447—831no—
1154#447—831no—
1155#447—831no—
1156#447—831no—
1157#447—831no—
1158#447—831no—
1159#447—831no—
1160#447—831no—
1161#447—831no—
1162#447—831no—
1163#447—831no—
1164#447—831no—
1165#447—831no—
1166#447—831no—
1167#447C2×D8311yescharacteristic, complemented
1168#447C2×D8311yescharacteristic, complemented
1169#442—831no—
1170#442—831no—
1171#442C2×D8311yescharacteristic, complemented
1172#440—831no—
1173C4×SD16—831no—
1174C4×D8—831no—
1175C4×D8—831no—
1176C4×D8—831no—
1177#436—831no—
1178#436—831no—
1179#435—831no—
1180#435—831no—
1181#435—831no—
1182#435C2×D8311yescharacteristic, complemented
1183C8×D4—831no—
1184C8×D4—831no—
1185#433—831no—
1186#433—831no—
1187#418—831no—
1188#418—831no—
1189#418—831no—
1190#417—831no—
1191#416—831no—
1192C2×#102—831no—
1193C2×#102—831no—
1194C2×#102—831no—
1195#408—831no—
1196#408—831no—
1197#407—831no—
1198C2×C22⋊C8—831no—
1199C25—1661no—
1200H(5,𝔽2)—3322no—
1201H(5,𝔽2)—3322no—
1202C2×#41—831no—
1203C2×#41—831no—
1204C2×#41—831no—
1205C2×#41—831no—
1206C2×#41—831no—
1207C2×#41—1661no—
1208C2×#41—1661no—
1209C2×#41C22×D8311yescharacteristic
1210C22×D4—21no—
1211C22×D4—3322no—
1212C22×D4—3322no—
1213C22×D4—831no—
1214C22×D4—831no—
1215C22×D4—831no—
1216C22×D4—831no—
1217C22×D4—831no—
1218C22×D4—831no—
1219C22×D4—831no—
1220C22×D4—1661no—
1221C22×D4—1661no—
1222C22×D4—1661no—
1223C22×D4—1661no—
1224C22×D4—1661no—
1225C22×D4—1661no—
1226C22×D4—1661no—
1227C22×D4—1661no—
1228C22×D4—1661no—
1229C22×D4—1661no—
1230C22×D4—1661no—
1231C22×D4C22×D8311yescharacteristic
1232C22×D4C22×D8311yescharacteristic
1233C22×D4C22×D8311yescharacteristic, complemented
1234C23×C4—831no—
1235AGL(1,ℤ/8)—42no—
1236AGL(1,ℤ/8)—3322no—
1237AGL(1,ℤ/8)—3322no—
1238AGL(1,ℤ/8)—3322no—
1239#135—3322no—
1240C2×Q16—831no—
1241C2×SD16—831no—
1242C2×SD16—831no—
1243C2×SD16—831no—
1244C2×SD16—831no—
1245C2×SD16—831no—
1246C2×SD16C22×D8311yescharacteristic, complemented
1247C2×SD16C22×D8311yescharacteristic, complemented
1248C2×SD16C22×D8311yescharacteristic, complemented
1249C2×D8—42no—
1250C2×D8—3322no—
1251C2×D8—3322no—
1252C2×D8—831no—
1253C2×D8—831no—
1254C2×D8—831no—
1255C2×D8—831no—
1256C2×D8—831no—
1257C2×D8—831no—
1258C2×D8—831no—
1259C2×D8—831no—
1260C2×D8—831no—
1261C2×D8C22×D8311yescharacteristic
1262C2×D8C22×D8311yescharacteristic
1263C2×D8C22×D8311yescharacteristic
1264C2×D8C22×D8311yescharacteristic
1265C2×D8C22×D8311yescharacteristic
1266C2×D8C22×D8311yescharacteristic
1267C2×M16—831no—
1268C2×M16—831no—
1269C2×M16—831no—
1270C2×M16C22×D8311yescharacteristic, complemented
1271C22×C8—831no—
1272C22×C8—831no—
1273C22×C8—831no—
1274C22×C8C22×D8311yescharacteristic
1275C4⋊Q8—831no—
1276#127—831no—
1277#127—831no—
1278#127—1661no—
1279#127—1661no—
1280#127—1661no—
1281#127C22×D8311yescharacteristic, complemented
1282#126—1661no—
1283#126—1661no—
1284#126—1661no—
1285#125—831no—
1286#125—1661no—
1287#124—831no—
1288#124—831no—
1289#124—1661no—
1290#124—1661no—
1291#124—1661no—
1292#124—1661no—
1293#124—1661no—
1294#124C22×D8311yescharacteristic
1295#123—21no—
1296#123—831no—
1297#123—831no—
1298#123—1661no—
1299#123—1661no—
1300#123—1661no—
1301#123—1661no—
1302#123—1661no—
1303#123—1661no—
1304#123—1661no—
1305#123—1661no—
1306#123—1661no—
1307#123—1661no—
1308#123—1661no—
1309#123—1661no—
1310#123—1661no—
1311#123—1661no—
1312C22⋊Q8—831no—
1313C22⋊Q8—831no—
1314C22⋊Q8—831no—
1315C22⋊Q8—831no—
1316C22⋊Q8—831no—
1317C22⋊Q8—831no—
1318C22⋊Q8—1661no—
1319C22⋊Q8—1661no—
1320C22⋊Q8—1661no—
1321C22⋊Q8C22×D8311yescharacteristic
1322#121—21no—
1323#121—21no—
1324#121—831no—
1325#121—831no—
1326#121—831no—
1327#121—831no—
1328#121—831no—
1329#121—831no—
1330#121—831no—
1331#121—831no—
1332#121—831no—
1333#121—831no—
1334#121—831no—
1335#121—831no—
1336#121—831no—
1337#121—831no—
1338#121—1661no—
1339#121—1661no—
1340#121—1661no—
1341#121—1661no—
1342#121—1661no—
1343#121—1661no—
1344#121—1661no—
1345#121—1661no—
1346#121—1661no—
1347#121—1661no—
1348#121—1661no—
1349#121—1661no—
1350#121—1661no—
1351#121—1661no—
1352#121—1661no—
1353#121—1661no—
1354#121—1661no—
1355#121—1661no—
1356#121—1661no—
1357#121—1661no—
1358#121—1661no—
1359#121—1661no—
1360#121C22×D8311yescharacteristic
1361#121C22×D8311yescharacteristic
1362#121C22×D8311yescharacteristic, complemented
1363#120—21no—
1364#120—21no—
1365#120—21no—
1366#120—831no—
1367#120—831no—
1368#120—1661no—
1369#120—1661no—
1370#120—1661no—
1371#120—1661no—
1372#120—1661no—
1373#120—1661no—
1374#120—1661no—
1375#120—1661no—
1376#120—1661no—
1377#120—1661no—
1378#120—1661no—
1379#120—1661no—
1380#120—1661no—
1381#120—1661no—
1382#120—1661no—
1383#120—1661no—
1384#120—1661no—
1385#120—1661no—
1386#120—1661no—
1387#120—1661no—
1388#120—1661no—
1389C4×Q8—831no—
1390C4×D4—831no—
1391C4×D4—831no—
1392C4×D4—831no—
1393C4×D4—831no—
1394C4×D4—831no—
1395C4×D4—831no—
1396C4×D4—831no—
1397C4×D4—831no—
1398C4×D4—1661no—
1399C4×D4—1661no—
1400C4×D4—1661no—
1401C4×D4—1661no—
1402C4×D4—1661no—
1403C4×D4—1661no—
1404C4×D4—1661no—
1405C4×D4—1661no—
1406C4×D4C22×D8311yescharacteristic
1407C4×D4C22×D8311yescharacteristic
1408C4×D4C22×D8311yescharacteristic, complemented
1409#117—831no—
1410#117—831no—
1411#117—831no—
1412#117—831no—
1413#117—1661no—
1414#117—1661no—
1415C2×C4⋊C4—831no—
1416C2×C4⋊C4—831no—
1417C2×C22⋊C4—21no—
1418C2×C22⋊C4—1661no—
1419C2×C22⋊C4—1661no—
1420C2×C22⋊C4—1661no—
1421C2×C22⋊C4—1661no—
1422C2×C22⋊C4—1661no—
1423C2×C22⋊C4—1661no—
1424C2×C22⋊C4—1661no—
1425C2×C22⋊C4—1661no—
1426#107—831no—
1427#107—831no—
1428#107—831no—
1429#107—831no—
1430#106—831no—
1431#106—831no—
1432#106—831no—
1433#106C22×D8311yescharacteristic, complemented
1434C4⋊C8—831no—
1435C4⋊C8—831no—
1436C4⋊C8—831no—
1437C4⋊C8C22×D8311yescharacteristic, complemented
1438#103—831no—
1439#103—831no—
1440#103—831no—
1441#103—831no—
1442#103—831no—
1443#103C22×D8311yescharacteristic, complemented
1444#102—831no—
1445#102—831no—
1446#102—831no—
1447#102—831no—
1448#102—831no—
1449#102—831no—
1450#102—831no—
1451#102—831no—
1452#102—831no—
1453#102—831no—
1454#102—831no—
1455#102—831no—
1456#102—831no—
1457#102—831no—
1458#102—831no—
1459#102—831no—
1460#102—831no—
1461#102—831no—
1462#102—831no—
1463#102—831no—
1464#102—831no—
1465#102C22×D8311yescharacteristic
1466#102C22×D8311yescharacteristic
1467#102C22×D8311yescharacteristic, complemented
1468#102C22×D8311yescharacteristic, complemented
1469#102C22×D8311yescharacteristic, complemented
1470C22⋊C8—831no—
1471C22⋊C8—831no—
1472C22⋊C8—831no—
1473C22⋊C8—831no—
1474C22⋊C8—831no—
1475C22⋊C8—831no—
1476C22⋊C8—831no—
1477C22⋊C8—831no—
1478C22⋊C8—831no—
1479C22⋊C8—831no—
1480C22⋊C8C22×D8311yescharacteristic
1481C22⋊C8C22×D8311yescharacteristic, complemented
1482#97—831no—
1483#97C22×D8311yescharacteristic, complemented
1484C4×C8—831no—
1485C4×C8—831no—
1486C24—21no—
1487C24—21no—
1488C24—21no—
1489C24—3324no—
1490C24—831no—
1491C24—6642no—
1492C24—6642no—
1493C24—1661no—
1494C24—1661no—
1495C24—1661no—
1496C24—1661no—
1497C24—1661no—
1498C24—1661no—
1499C24—1661no—
1500#41—22no—
1501#41—41no—
1502#41—3321no—
1503#41—3321no—
1504#41—3324no—
1505#41—3321no—
1506#41—3321no—
1507#41—3321no—
1508#41—3321no—
1509#41—3321no—
1510#41—3321no—
1511#41—3321no—
1512#41—6642no—
1513#41—1662no—
1514C2×Q8—831no—
1515C2×Q8—831no—
1516C2×Q8—1661no—
1517C2×Q8C23×D8311yescharacteristic
1518C2×D4—22no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—21no—
1526C2×D4—21no—
1527C2×D4—21no—
1528C2×D4—41no—
1529C2×D4—41no—
1530C2×D4—41no—
1531C2×D4—41no—
1532C2×D4—41no—
1533C2×D4—82no—
1534C2×D4—3321no—
1535C2×D4—3321no—
1536C2×D4—3324no—
1537C2×D4—3324no—
1538C2×D4—3324no—
1539C2×D4—3324no—
1540C2×D4—3324no—
1541C2×D4—3324no—
1542C2×D4—3321no—
1543C2×D4—3321no—
1544C2×D4—3321no—
1545C2×D4—3321no—
1546C2×D4—3321no—
1547C2×D4—831no—
1548C2×D4—831no—
1549C2×D4—831no—
1550C2×D4—831no—
1551C2×D4—831no—
1552C2×D4—831no—
1553C2×D4—831no—
1554C2×D4—831no—
1555C2×D4—831no—
1556C2×D4—6642no—
1557C2×D4—6642no—
1558C2×D4—6642no—
1559C2×D4—6642no—
1560C2×D4—6642no—
1561C2×D4—1661no—
1562C2×D4—1661no—
1563C2×D4—1661no—
1564C2×D4—1662no—
1565C2×D4—1662no—
1566C2×D4—1661no—
1567C2×D4—1661no—
1568C2×D4—1661no—
1569C2×D4—1661no—
1570C2×D4—1661no—
1571C2×D4—1661no—
1572C2×D4—1661no—
1573C2×D4—1661no—
1574C2×D4—1662no—
1575C2×D4—1662no—
1576C2×D4—1661no—
1577C2×D4—1662no—
1578C2×D4—1662no—
1579C2×D4—1661no—
1580C2×D4—1661no—
1581C2×D4—1661no—
1582C2×D4—1661no—
1583C2×D4—1661no—
1584C2×D4—1661no—
1585C2×D4—1661no—
1586C2×D4—1661no—
1587C2×D4—1661no—
1588C2×D4—1661no—
1589C2×D4—1661no—
1590C2×D4—1662no—
1591C2×D4—1661no—
1592C2×D4—1661no—
1593C2×D4—1661no—
1594C2×D4—1661no—
1595C2×D4D4×D8311yescharacteristic
1596C2×D4C23×D8311yescharacteristic
1597C2×D4C23×D8311yescharacteristic
1598C2×D4C23×D8311yescharacteristic
1599C2×D4C23×D8311yescharacteristic
1600C2×D4C23×D8311yescharacteristic
1601C22×C4—21no—
1602C22×C4—21no—
1603C22×C4—21no—
1604C22×C4—3321no—
1605C22×C4—3321no—
1606C22×C4—831no—
1607C22×C4—831no—
1608C22×C4—831no—
1609C22×C4—831no—
1610C22×C4—831no—
1611C22×C4—831no—
1612C22×C4—1661no—
1613C22×C4—1661no—
1614C22×C4—1661no—
1615C22×C4—1661no—
1616C22×C4—1661no—
1617C22×C4—1661no—
1618C22×C4—1661no—
1619C22×C4—1661no—
1620C22×C4—1661no—
1621C22×C4—1661no—
1622C22×C4—1661no—
1623C22×C4C23×D8311yescharacteristic
1624C22×C4C23×D8311yescharacteristic
1625Q16—3321no—
1626SD16—41no—
1627SD16—41no—
1628SD16—41no—
1629SD16—3321no—
1630SD16—3321no—
1631SD16—3321no—
1632SD16—1662no—
1633SD16—1662no—
1634D8—22no—
1635D8—22no—
1636D8—22no—
1637D8—41no—
1638D8—41no—
1639D8—41no—
1640D8—3321no—
1641D8—3321no—
1642D8—3321no—
1643D8—3321no—
1644D8—3321no—
1645D8—3321no—
1646D8—1662no—
1647D8—1662no—
1648D8—1662no—
1649M16—41no—
1650M16—3321no—
1651M16—3321no—
1652M16—3321no—
1653C2×C8—41no—
1654C2×C8—3321no—
1655C2×C8—3321no—
1656C2×C8—3321no—
1657C2×C8—831no—
1658C2×C8—831no—
1659C2×C8—831no—
1660C2×C8—831no—
1661C2×C8C23×D8311yescharacteristic
1662C2×C8C23×D8311yescharacteristic
1663C2×C8C23×D8311yescharacteristic
1664C2×C8C23×D8311yescharacteristic
1665C4⋊C4—21no—
1666C4⋊C4—831no—
1667C4⋊C4—831no—
1668C4⋊C4—831no—
1669C4⋊C4—831no—
1670C4⋊C4—831no—
1671C4⋊C4—831no—
1672C4⋊C4—831no—
1673C4⋊C4—831no—
1674C4⋊C4—831no—
1675C4⋊C4—1661no—
1676C4⋊C4—1661no—
1677C4⋊C4—1661no—
1678C4⋊C4—1661no—
1679C4⋊C4—1661no—
1680C4⋊C4—1661no—
1681C4⋊C4—1661no—
1682C4⋊C4—1661no—
1683C4⋊C4—1661no—
1684C4⋊C4—1661no—
1685C4⋊C4D4×D8311yescharacteristic
1686C4⋊C4C23×D8311yescharacteristic
1687C4⋊C4C23×D8311yescharacteristic
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—21no—
1694C22⋊C4—21no—
1695C22⋊C4—21no—
1696C22⋊C4—831no—
1697C22⋊C4—831no—
1698C22⋊C4—831no—
1699C22⋊C4—831no—
1700C22⋊C4—831no—
1701C22⋊C4—831no—
1702C22⋊C4—831no—
1703C22⋊C4—831no—
1704C22⋊C4—1661no—
1705C22⋊C4—1661no—
1706C22⋊C4—1661no—
1707C22⋊C4—1661no—
1708C22⋊C4—1661no—
1709C22⋊C4—1661no—
1710C22⋊C4—1661no—
1711C22⋊C4—1661no—
1712C22⋊C4—1661no—
1713C22⋊C4—1661no—
1714C22⋊C4—1661no—
1715C22⋊C4—1661no—
1716C22⋊C4—1661no—
1717C22⋊C4—1661no—
1718C22⋊C4—1661no—
1719C22⋊C4—1661no—
1720C22⋊C4—1661no—
1721C22⋊C4—1661no—
1722C22⋊C4—1661no—
1723C22⋊C4—1661no—
1724C22⋊C4—1661no—
1725C22⋊C4—1661no—
1726C22⋊C4—1661no—
1727C22⋊C4—1661no—
1728C22⋊C4—1661no—
1729C22⋊C4—1661no—
1730C22⋊C4—1661no—
1731C22⋊C4—1661no—
1732C22⋊C4D4×D8311yescharacteristic
1733C22⋊C4D4×D8311yescharacteristic
1734C42—831no—
1735C42—1661no—
1736C42—1661no—
1737C42—1661no—
1738C42—1661no—
1739C42C23×D8311yescharacteristic
1740C23—21no—
1741C23—21no—
1742C23—21no—
1743C23—21no—
1744C23—21no—
1745C23—42no—
1746C23—42no—
1747C23—42no—
1748C23—81no—
1749C23—81no—
1750C23—81no—
1751C23—81no—
1752C23—81no—
1753C23—81no—
1754C23—3322no—
1755C23—3322no—
1756C23—3321no—
1757C23—3321no—
1758C23—3322no—
1759C23—3322no—
1760C23—3322no—
1761C23—3322no—
1762C23—3322no—
1763C23—3322no—
1764C23—3322no—
1765C23—831no—
1766C23—831no—
1767C23—831no—
1768C23—6641no—
1769C23—6641no—
1770C23—6641no—
1771C23—6641no—
1772C23—6641no—
1773C23—6641no—
1774C23—6641no—
1775C23—6641no—
1776C23—6641no—
1777C23—6641no—
1778C23—6641no—
1779C23—66416no—
1780C23—1664no—
1781C23—1661no—
1782C23—1661no—
1783C23—1662no—
1784C23—1661no—
1785C23C2×D4×D8311yescharacteristic
1786C23C2×D4×D8311yescharacteristic
1787Q8—21no—
1788Q8—21no—
1789Q8—3321no—
1790Q8—6641no—
1791Q8—1661no—
1792Q8—1661no—
1793D4—22no—
1794D4—21no—
1795D4—21no—
1796D4—21no—
1797D4—21no—
1798D4—21no—
1799D4—21no—
1800D4—21no—
1801D4—21no—
1802D4—21no—
1803D4—42no—
1804D4—42no—
1805D4—42no—
1806D4—81no—
1807D4—81no—
1808D4—81no—
1809D4—81no—
1810D4—81no—
1811D4—81no—
1812D4—3322no—
1813D4—3322no—
1814D4—3321no—
1815D4—3321no—
1816D4—3322no—
1817D4—3322no—
1818D4—3322no—
1819D4—3322no—
1820D4—3322no—
1821D4—3322no—
1822D4—3321no—
1823D4—3321no—
1824D4—3321no—
1825D4—3322no—
1826D4—3322no—
1827D4—832no—
1828D4—6641no—
1829D4—6641no—
1830D4—6641no—
1831D4—6641no—
1832D4—6641no—
1833D4—6641no—
1834D4—6641no—
1835D4—6641no—
1836D4—6641no—
1837D4—6641no—
1838D4—6641no—
1839D4—6641no—
1840D4—6641no—
1841D4—6641no—
1842D4—6641no—
1843D4—6641no—
1844D4—1664no—
1845D4—1662no—
1846D4—1661no—
1847D4—1661no—
1848D4—1661no—
1849D4—1661no—
1850D4—1661no—
1851D4#1458183712yes—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—21no—
1859C2×C4—42no—
1860C2×C4—81no—
1861C2×C4—81no—
1862C2×C4—3321no—
1863C2×C4—3321no—
1864C2×C4—3322no—
1865C2×C4—3322no—
1866C2×C4—3322no—
1867C2×C4—3321no—
1868C2×C4—831no—
1869C2×C4—831no—
1870C2×C4—831no—
1871C2×C4—831no—
1872C2×C4—831no—
1873C2×C4—6641no—
1874C2×C4—6641no—
1875C2×C4—6641no—
1876C2×C4—6641no—
1877C2×C4—6641no—
1878C2×C4—6641no—
1879C2×C4—6641no—
1880C2×C4—6641no—
1881C2×C4—1661no—
1882C2×C4—1661no—
1883C2×C4—1661no—
1884C2×C4—1661no—
1885C2×C4—1661no—
1886C2×C4—1661no—
1887C2×C4—1661no—
1888C2×C4—1661no—
1889C2×C4—1661no—
1890C2×C4—1661no—
1891C2×C4—1661no—
1892C2×C4C2×D4×D8311yescharacteristic
1893C2×C4C2×D4×D8311yescharacteristic
1894C2×C4C2×D4×D8311yescharacteristic
1895C2×C4C2×D4×D8311yescharacteristic
1896C2×C4C24×D8311yescharacteristic
1897C8—21no—
1898C8—21no—
1899C8—21no—
1900C8—21no—
1901C8—1661no—
1902C8—1661no—
1903C8—1661no—
1904C8—1661no—
1905C22—21no—
1906C22—21no—
1907C22—21no—
1908C22—22no—
1909C22—21no—
1910C22—21no—
1911C22—41no—
1912C22—41no—
1913C22—41no—
1914C22—41no—
1915C22—41no—
1916C22—41no—
1917C22—41no—
1918C22—41no—
1919C22—41no—
1920C22—41no—
1921C22—41no—
1922C22—41no—
1923C22—41no—
1924C22—41no—
1925C22—84no—
1926C22—162no—
1927C22—162no—
1928C22—13282no—
1929C22—13282no—
1930C22—3324no—
1931C22—3321no—
1932C22—3321no—
1933C22—3321no—
1934C22—3321no—
1935C22—3321no—
1936C22—3321no—
1937C22—3321no—
1938C22—3321no—
1939C22—6644no—
1940C22—6644no—
1941C22—6644no—
1942C22—6644no—
1943C22—6644no—
1944C22—1661no—
1945C22—1661no—
1946C22—1662no—
1947C22—1661no—
1948C22—1661no—
1949C22—1661no—
1950C22—1661no—
1951C22—1661no—
1952C22—1661no—
1953C22—1661no—
1954C22#1912850512yes—
1955C22C22×D4×D8311yescharacteristic
1956C4—21no—
1957C4—21no—
1958C4—21no—
1959C4—21no—
1960C4—41no—
1961C4—41no—
1962C4—41no—
1963C4—3321no—
1964C4—3321no—
1965C4—3321no—
1966C4—3321no—
1967C4—3321no—
1968C4—1661no—
1969C4—1661no—
1970C4—1661no—
1971C4—1661no—
1972C4—1661no—
1973C4H(5,𝔽2)×D8311yescharacteristic
1974C4C2×#1458183711yescharacteristic
1975C2—22no—
1976C2—41no—
1977C2—42no—
1978C2—81no—
1979C2—81no—
1980C2—81no—
1981C2—81no—
1982C2—3321no—
1983C2—3322no—
1984C2—3321no—
1985C2—3321no—
1986C2—6641no—
1987C2—6641no—
1988C2#2492109111yescharacteristic
1989C2C2×#1912850511yescharacteristic
1990C2#2492223811yescharacteristic
subgroupG/H
centerC22C22×D4×D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC83×#3264C2
socleC22×C83C23×D4
hypercenter#3264D83
hypocenterC83#61609
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3264

Complements

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

NH ≅ G/Ntype
1. #24921784C2semidirect
2. #24921093C2semidirect
3. #24919700C2semidirect
4. #24919671C2semidirect
5. #24919623C2semidirect
6. #24919609C2semidirect
7. #24919486C2semidirect
8. #24919430C2semidirect
9. #24919298C2semidirect
10. #24919269C2semidirect
11. #24919141C2semidirect
12. D4×#13050575C2semidirect
13. #24919086C2semidirect
14. #24919068C2semidirect
15. #24919002C2semidirect
16. #24918943C2semidirect
17. #24918936C2semidirect
18. #24918556C2semidirect
19. #24918508C2semidirect
20. #24918326C2semidirect
21. #24918310C2semidirect
22. #24918280C2semidirect
23. #24918252C2semidirect
24. #24917704C2semidirect
25. #24917645C2semidirect
26. #24916765C2semidirect
27. #24916730C2semidirect
28. #24916687C2semidirect
29. C2×#19127833C2semidirect
30. #24916512C2semidirect
31. C83×#3264C2semidirect
32. C2×#14581838C22semidirect
33. C22×D4×D83C22semidirect
34. C2×#14581816C22semidirect
35. C2×#14581816C22semidirect
36. C2×#14581816C22semidirect
37. C2×#14581813C22semidirect
38. C22×#13050575C22semidirect
39. C22×#13050575C22semidirect
42. #19128415C22semidirect
43. #19128401C22semidirect
44. #19128391C22semidirect
46. #19128371C22semidirect
47. #19128351C22semidirect
49. #19128345C22semidirect
50. #19128345C22semidirect
51. #19128344C22semidirect
53. #19128342C22semidirect
55. #19128339C22semidirect
57. D4×D332C22semidirect
59. #19128335C22semidirect
60. D4×C22⋊D83C22semidirect
62. #19128316C22semidirect
63. #19128305C22semidirect
66. #19128280C22semidirect
67. #19128269C22semidirect
68. #19128268C22semidirect
69. #19128267C22semidirect
74. #19128214C22semidirect
75. #19128211C22semidirect
77. C2×#14581763C22semidirect
80. #19128173C22semidirect
81. #19128089C22semidirect
82. #19128082C22semidirect
83. #19128077C22semidirect
84. #19128066C22semidirect
85. #19128062C22semidirect
86. #19128055C22semidirect
87. #19128046C22semidirect
88. #19128045C22semidirect
89. #19128040C22semidirect
90. #19128029C22semidirect
91. #19128027C22semidirect
92. #19128026C22semidirect
93. #19128024C22semidirect
94. #19128023C22semidirect
95. #19128023C22semidirect
96. #19128022C22semidirect
97. #19128021C22semidirect
98. #19128015C22semidirect
99. #19128013C22semidirect
100. #19128002C22semidirect
101. #19128001C22semidirect
102. #19127990C22semidirect
103. #19127979C22semidirect
104. #19127953C22semidirect
105. #19127953C22semidirect
106. #19127953C22semidirect
107. #19127951C22semidirect
108. #19127947C22semidirect
109. #19127944C22semidirect
110. #19127944C22semidirect
111. #19127940C22semidirect
112. #19127936C22semidirect
113. #19127935C22semidirect
114. #19127935C22semidirect
115. #19127934C22semidirect
116. #19127930C22semidirect
117. #19127928C22semidirect
118. #19127920C22semidirect
119. #19127918C22semidirect
120. #19127918C22semidirect
121. #19127915C22semidirect
122. #19127914C22semidirect
123. #19127902C22semidirect
124. #19127896C22semidirect
125. #19127894C22semidirect
126. #19127894C22semidirect
127. #19127893C22semidirect
128. #19127866C22semidirect
129. #19127863C22semidirect
130. #19127860C22semidirect
131. #19127854C22semidirect
132. #19127854C22semidirect
133. #19127853C22semidirect
134. #19127853C22semidirect
135. #19127852C22semidirect
136. #19127847C22semidirect
137. #19127847C22semidirect
138. #19127845C22semidirect
139. #19127845C22semidirect
140. #19127845C22semidirect
141. #19127845C22semidirect
142. #19127845C22semidirect
143. #19127843C22semidirect
144. #19127835C22semidirect
145. #19127835C22semidirect
146. #19127834C22semidirect
147. #19127834C22semidirect
149. #19127833C22semidirect
150. #19127833C22semidirect
151. #19127833C22semidirect
152. #19127833C22semidirect
153. #19127833C22semidirect
154. #19127833C22semidirect
155. #19127833C22semidirect
156. #19127833C22semidirect
157. #19127833C22semidirect
158. #19127833C22semidirect
159. #19127833C22semidirect
160. #19127813C22semidirect
161. #19127810C22semidirect
162. #19127803C22semidirect
163. C4×#13050578C22semidirect
164. D8×Dic83C22semidirect
165. C4×#13050575C22semidirect
166. #19127781C22semidirect
167. #19127778C22semidirect
168. #19127777C22semidirect
169. #19127774C22semidirect
170. #19127772C22semidirect
171. #19127769C22semidirect
172. D4×C83⋊C8C22semidirect
173. (C22⋊D83)⋊C8C22semidirect
174. #19127763C22semidirect
175. #19127761C22semidirect
176. #19127707C22semidirect
177. #19127704C22semidirect
178. #19127704C22semidirect
179. #19127701C22semidirect
180. #19127697C22semidirect
181. C2×#14581714C22semidirect
182. C2×#14581713C22semidirect
183. #102×D83C22semidirect
184. #19127669C22semidirect
185. #19127666C22semidirect
186. #19127663C22semidirect
187. C2×(C2×D83)⋊C8C22semidirect
188. C2×AGL(1,ℤ/8)×C83C22semidirect
189. C22×D8×C83C22semidirect
191. D42×C83C22semidirect
192. #496×C83C22semidirect
193. #469×C83C22semidirect
194. #465×C83C22semidirect
195. #463×C83C22semidirect
196. #459×C83C22semidirect
197. #450×C83C22semidirect
198. #449×C83C22semidirect
199. #447×C83C22semidirect
200. #447×C83C22semidirect
201. #442×C83C22semidirect
202. #435×C83C22semidirect
212. C2×#13050589C23semidirect
238. C2×#13050580C23semidirect
241. C2×#13050579C23semidirect
252. C2×#13050575C23semidirect
253. C2×#13050575C23semidirect
254. C2×#13050575C23semidirect
257. C2×#13050573C23semidirect
259. C22×C83⋊C8C23semidirect
260. C2×C8×D83C23semidirect
261. #14581791C23semidirect
270. #14581784C23semidirect
275. #14581779C23semidirect
298. #14581771C23semidirect
338. #14581763C23semidirect
339. #14581763C23semidirect
363. C4×Dic166C23semidirect
369. D4×Dic83C23semidirect
370. D4×Dic83C23semidirect
380. #14581751C23semidirect
387. C4⋊C4×D83C23semidirect
396. #14581726C23semidirect
397. #14581726C23semidirect
398. #14581725C23semidirect
399. #14581725C23semidirect
400. #14581724C23semidirect
401. #14581723C23semidirect
402. #14581723C23semidirect
403. C4⋊(C83⋊C8)C23semidirect
404. Dic83⋊C8C23semidirect
405. Dic83⋊C8C23semidirect
406. #14581717C23semidirect
407. #14581716C23semidirect
408. #14581716C23semidirect
409. #14581716C23semidirect
410. #14581715C23semidirect
417. #14581714C23semidirect
418. #14581714C23semidirect
419. #14581714C23semidirect
426. #14581713C23semidirect
427. #14581713C23semidirect
428. #14581713C23semidirect
431. #14581712C23semidirect
433. C22⋊(C83⋊C8)C23semidirect
440. (C2×D83)⋊C8C23semidirect
441. (C2×D83)⋊C8C23semidirect
442. #14581702C23semidirect
443. C4×C83⋊C8C23semidirect
444. C8×Dic83C23semidirect
449. C22×D4×C83C23semidirect
451. C2×SD16×C83C23semidirect
452. C2×SD16×C83C23semidirect
453. C2×SD16×C83C23semidirect
461. C2×M16×C83C23semidirect
463. #127×C83C23semidirect
471. #121×C83C23semidirect
477. C4×D4×C83C23semidirect
479. #106×C83C23semidirect
480. C4⋊C8×C83C23semidirect
481. #103×C83C23semidirect
484. #102×C83C23semidirect
485. #102×C83C23semidirect
486. #102×C83C23semidirect
488. C22⋊C8×C83C23semidirect
489. #97×C83C23semidirect
1013. #3264D83semidirect
1027. C83#61609semidirect
1033. C2×AGL(1,ℤ/8)C2×D83semidirect
1037. C22×D8C2×D83semidirect
1061. D42C2×D83semidirect
1082. #496C2×D83semidirect
1109. #469C2×D83semidirect
1120. #465C2×D83semidirect
1126. #463C2×D83semidirect
1132. #459C2×D83semidirect
1141. #450C2×D83semidirect
1150. #449C2×D83semidirect
1167. #447C2×D83semidirect
1168. #447C2×D83semidirect
1171. #442C2×D83semidirect
1182. #435C2×D83semidirect
1233. C22×D4C22×D83semidirect
1246. C2×SD16C22×D83semidirect
1247. C2×SD16C22×D83semidirect
1248. C2×SD16C22×D83semidirect
1270. C2×M16C22×D83semidirect
1281. #127C22×D83semidirect
1362. #121C22×D83semidirect
1408. C4×D4C22×D83semidirect
1433. #106C22×D83semidirect
1437. C4⋊C8C22×D83semidirect
1443. #103C22×D83semidirect
1467. #102C22×D83semidirect
1468. #102C22×D83semidirect
1469. #102C22×D83semidirect
1481. C22⋊C8C22×D83semidirect
1483. #97C22×D83semidirect

Maximal subgroups

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

subgroupindex
#249217842
#249210932
#249197002
#249196712
#249196232
#249196092
#249194862
#249194302
#249192982
#249192692
#249191412
D4×#130505752
#249190862
#249190682
#249190022
#249189432
#249189362
#249185562
#249185082
#249183262
#249183102
#249182802
#249182522
#249177042
#249176452
#249167652
#249167302
#249166872
C2×#191278332
#249165122
C83×#32642
#6160983