Finite Group Databasebeta

← #36290478

Subgroups — #36290478

Order 21248.

2282 conjugacy classes of subgroups.

The subgroup lattice has 1974 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24921691C211yesmaximal, characteristic, complemented
2#24921093C211yesmaximal, characteristic, complemented
3#24919542C211yesmaximal, characteristic, complemented
4#24919425C211yesmaximal, characteristic, complemented
5#24919423C211yesmaximal, characteristic, complemented
6#24919283C211yesmaximal, characteristic, complemented
7#24919281C211yesmaximal, characteristic, complemented
8#24919274C211yesmaximal, characteristic, complemented
9#24919273C211yesmaximal, characteristic, complemented
10#24919168C211yesmaximal, characteristic, complemented
11#24919165C211yesmaximal, characteristic, complemented
12#24919145C211yesmaximal, characteristic, complemented
13#24919144C211yesmaximal, characteristic, complemented
14#24918965C211yesmaximal, characteristic, complemented
15#24918960C211yesmaximal, characteristic, complemented
16#24918948C211yesmaximal, characteristic, complemented
17#24918947C211yesmaximal, characteristic, complemented
18#24918564C211yesmaximal, characteristic, complemented
19#24918558C211yesmaximal, characteristic, complemented
20#24918322C211yesmaximal, characteristic, complemented
21#24918316C211yesmaximal, characteristic, complemented
22#24918245C211yesmaximal, characteristic, complemented
23#24918233C211yesmaximal, characteristic, complemented
24#24917654C211yesmaximal, characteristic, complemented
25#24917651C211yesmaximal, characteristic, complemented
26#24916771C211yesmaximal, characteristic, complemented
27#24916769C211yesmaximal, characteristic, complemented
28#450×D83C211yesmaximal, characteristic, complemented
29C2×#19127836C211yesmaximal, characteristic, complemented
30#24916514C211yesmaximal, characteristic, complemented
31C83×#3314C211yesmaximal, characteristic, complemented
32C2×#14581838C2211yescharacteristic, complemented
33C22×D4×D83C2211yescharacteristic
34C2×#14581820C2211yescharacteristic, complemented
35C2×#14581819C2211yescharacteristic, complemented
36C2×#14581815C2211yescharacteristic, complemented
37C2×#14581812C2211yescharacteristic, complemented
38C2×SD16×D83C2211yescharacteristic, complemented
39C2×SD16×D83C2211yescharacteristic, complemented
40C22×D664C2211yescharacteristic, complemented
41C22×#13050575C2211yescharacteristic, complemented
42#19128449—21no—
43#19128447—21no—
44#19128406C2211yescharacteristic, complemented
45#19128363C2211yescharacteristic, complemented
46#19128361C2211yescharacteristic, complemented
47#19128354C2211yescharacteristic, complemented
48#19128352C2211yescharacteristic, complemented
49#19128347—21no—
50#19128347C2211yescharacteristic, complemented
51#19128344C2211yescharacteristic, complemented
52#19128343—21no—
53#19128342—21no—
54#19128342C2211yescharacteristic
55#19128342C2211yescharacteristic, complemented
56#19128341—21no—
57#19128339C2211yescharacteristic, complemented
58D4×D332C2211yescharacteristic
59D4×D332C2211yescharacteristic, complemented
60#19128335—21no—
61#19128335C2211yescharacteristic, complemented
62D4×C22⋊D83C2211yescharacteristic
63#19128333—21no—
64#19128326—21no—
65#19128325C2211yescharacteristic, complemented
66#19128323C2211yescharacteristic, complemented
67#19128299—21no—
68#19128284—21no—
69#19128282C2211yescharacteristic, complemented
70#19128281—21no—
71#19128281C2211yescharacteristic, complemented
72#19128269C2211yescharacteristic, complemented
73#19128267C2211yescharacteristic, complemented
74#19128262—21no—
75#19128259—21no—
76#19128214C2211yescharacteristic
77#19128210C2211yescharacteristic
78C22⋊Q8×D83C2211yescharacteristic, complemented
79C2×#14581767C2211yescharacteristic, complemented
80C2×#14581762—21no—
81#120×D83—21no—
82#19128173C2211yescharacteristic, complemented
83#19128090C2211yescharacteristic, complemented
84#19128087C2211yescharacteristic, complemented
85#19128086C2211yescharacteristic, complemented
86#19128083C2211yescharacteristic, complemented
87#19128062C2211yescharacteristic, complemented
88#19128049C2211yescharacteristic, complemented
89#19128046C2211yescharacteristic, complemented
90#19128044C2211yescharacteristic, complemented
91#19128040C2211yescharacteristic, complemented
92#19128030C2211yescharacteristic, complemented
93#19128028C2211yescharacteristic, complemented
94#19128028C2211yescharacteristic, complemented
95#19128019C2211yescharacteristic, complemented
96#19128019C2211yescharacteristic, complemented
97#19128018C2211yescharacteristic, complemented
98#19128016C2211yescharacteristic, complemented
99#19128016C2211yescharacteristic, complemented
100#19127989C2211yescharacteristic, complemented
101#19127988C2211yescharacteristic, complemented
102#19127980C2211yescharacteristic, complemented
103#19127954C2211yescharacteristic, complemented
104#19127953C2211yescharacteristic, complemented
105#19127948C2211yescharacteristic, complemented
106#19127940C2211yescharacteristic, complemented
107#19127938C2211yescharacteristic, complemented
108#19127938C2211yescharacteristic, complemented
109#19127938C2211yescharacteristic, complemented
110#19127935C2211yescharacteristic, complemented
111#19127933C2211yescharacteristic, complemented
112#19127933C2211yescharacteristic, complemented
113#19127932C2211yescharacteristic, complemented
114#19127932C2211yescharacteristic, complemented
115#19127930C2211yescharacteristic, complemented
116#19127929C2211yescharacteristic, complemented
117#19127926C2211yescharacteristic, complemented
118#19127919C2211yescharacteristic, complemented
119#19127919C2211yescharacteristic, complemented
120#19127918C2211yescharacteristic, complemented
121#19127917C2211yescharacteristic, complemented
122#19127916C2211yescharacteristic, complemented
123#19127913C2211yescharacteristic, complemented
124#19127901C2211yescharacteristic, complemented
125#19127900C2211yescharacteristic, complemented
126#19127897C2211yescharacteristic, complemented
127#19127895C2211yescharacteristic, complemented
128#19127866C2211yescharacteristic, complemented
129#19127866C2211yescharacteristic, complemented
130#19127862C2211yescharacteristic, complemented
131#19127855C2211yescharacteristic, complemented
132#19127854C2211yescharacteristic, complemented
133#19127853C2211yescharacteristic, complemented
134#19127853C2211yescharacteristic, complemented
135#19127853C2211yescharacteristic, complemented
136#19127852C2211yescharacteristic, complemented
137#19127851C2211yescharacteristic, complemented
138#19127851C2211yescharacteristic, complemented
139#19127851C2211yescharacteristic, complemented
140#19127850C2211yescharacteristic, complemented
141#19127850C2211yescharacteristic, complemented
142#19127849C2211yescharacteristic, complemented
143#19127849C2211yescharacteristic, complemented
144#19127849C2211yescharacteristic, complemented
145#19127849C2211yescharacteristic, complemented
146#19127848C2211yescharacteristic, complemented
147#19127846C2211yescharacteristic, complemented
148#19127845C2211yescharacteristic, complemented
149#19127844C2211yescharacteristic, complemented
150#19127841C2211yescharacteristic, complemented
151#19127837C2211yescharacteristic, complemented
152#19127837C2211yescharacteristic, complemented
153#19127836C2211yescharacteristic
154#19127836C2211yescharacteristic
155#19127836C2211yescharacteristic, complemented
156#19127836C2211yescharacteristic, complemented
157#19127836C2211yescharacteristic, complemented
158#19127836C2211yescharacteristic, complemented
159#19127836C2211yescharacteristic, complemented
160#19127836C2211yescharacteristic, complemented
161#19127836C2211yescharacteristic, complemented
162#19127814C2211yescharacteristic, complemented
163#19127810C2211yescharacteristic, complemented
164#19127800C2211yescharacteristic, complemented
165#19127792C2211yescharacteristic, complemented
166C4×#13050577C2211yescharacteristic, complemented
167#19127783C2211yescharacteristic, complemented
168C4×#13050575C2211yescharacteristic, complemented
169#19127774C2211yescharacteristic, complemented
170#19127770C2211yescharacteristic, complemented
171#19127769C2211yescharacteristic, complemented
172D4×C83⋊C8C2211yescharacteristic, complemented
173#19127766C2211yescharacteristic, complemented
174C8×C22⋊D83C2211yescharacteristic, complemented
175(C22⋊D83)⋊C8C2211yescharacteristic, complemented
176#19127763C2211yescharacteristic, complemented
177#19127761C2211yescharacteristic, complemented
178#19127701C2211yescharacteristic, complemented
179C2×#14581712C2211yescharacteristic, complemented
180C2×#14581712C2211yescharacteristic, complemented
181#102×D83C2211yescharacteristic, complemented
182#102×D83C2211yescharacteristic, complemented
183#102×D83C2211yescharacteristic, complemented
184#19127669C2211yescharacteristic, complemented
185#19127666C2211yescharacteristic, complemented
186C2×(C2×D83)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D83C2211yescharacteristic, complemented
188#554×C83C2211yescharacteristic, complemented
189#546×C83C2211yescharacteristic
190#489×C83C2211yescharacteristic, complemented
191#484×C83C2211yescharacteristic, complemented
192#480×C83C2211yescharacteristic, complemented
193#474×C83C2211yescharacteristic, complemented
194#468×C83C2211yescharacteristic, complemented
195#467×C83C2211yescharacteristic, complemented
196#464×C83C2211yescharacteristic, complemented
197#452×C83C2211yescharacteristic, complemented
198#450×C83C2211yescharacteristic, complemented
199#440×C83C2211yescharacteristic, complemented
200#435×C83C2211yescharacteristic, complemented
201#417×C83C2211yescharacteristic, complemented
202C2×#102×C83C2211yescharacteristic, complemented
203C24×D83—21no—
204#14581838—42no—
205#14581838—42no—
206C2×#13050591—21no—
207C2×#13050591C2311yescharacteristic
208C2×#13050591C2311yescharacteristic
209C2×#13050591C2311yescharacteristic, complemented
210C2×#13050590—21no—
211C2×#13050590—21no—
212C2×#13050590C2311yescharacteristic
213C2×#13050590C2311yescharacteristic, complemented
214C2×Q8×D83C2311yescharacteristic
215C22×D332—21no—
216C22×D332—21no—
217C22×D332—21no—
218C22×D332C2311yescharacteristic
219C22×D332C2311yescharacteristic
220C22×D332C2311yescharacteristic
221C22×C22⋊D83—21no—
222C22×C22⋊D83—21no—
223C2×D4×D83—21no—
224C2×D4×D83—21no—
225C2×D4×D83—21no—
226C2×D4×D83—21no—
227C2×D4×D83—21no—
228C2×D4×D83—21no—
229C2×D4×D83—42no—
230C2×D4×D83—42no—
231C2×D4×D83C2311yescharacteristic
232C2×D4×D83C2311yescharacteristic
233C2×D4×D83C2311yescharacteristic
234C2×D4×D83C2311yescharacteristic
235C2×D4×D83C2311yescharacteristic
236C22×C4×D83C2311yescharacteristic
237#14581820—42no—
238#14581819—42no—
239#14581815—42no—
240#14581812—42no—
241C2×#13050580C2311yescharacteristic, complemented
242C2×#13050579C2311yescharacteristic
243C2×#13050579C2311yescharacteristic
244C2×#13050579C2311yescharacteristic, complemented
245C2×#13050578C2311yescharacteristic
246C2×#13050578C2311yescharacteristic
247C2×#13050577C2311yescharacteristic
248C2×#13050577C2311yescharacteristic
249C2×#13050577C2311yescharacteristic, complemented
250C2×#13050577C2311yescharacteristic, complemented
251C2×#13050577C2311yescharacteristic, complemented
252SD16×D83—42no—
253SD16×D83—42no—
254C2×D664—42no—
255C2×D664C2311yescharacteristic
256C2×D664C2311yescharacteristic
257C2×D664C2311yescharacteristic
258C2×D664C2311yescharacteristic
259C2×D664C2311yescharacteristic, complemented
260C2×D664C2311yescharacteristic, complemented
261C2×#13050575—42no—
262C2×#13050575C2311yescharacteristic
263C2×#13050575C2311yescharacteristic
264C2×#13050575C2311yescharacteristic
265C2×#13050575C2311yescharacteristic
266C2×#13050573C2311yescharacteristic, complemented
267C22×C83⋊C8C2311yescharacteristic
268C22×C83⋊C8C2311yescharacteristic, complemented
269C2×C8×D83C2311yescharacteristic
270C2×C8×D83C2311yescharacteristic
271C2×C8×D83C2311yescharacteristic, complemented
272#14581791C2311yescharacteristic, complemented
273#14581789C2311yescharacteristic
274#14581788—21no—
275#14581788C2311yescharacteristic
276#14581787—21no—
277#14581786—21no—
278#14581782—21no—
279#14581781—21no—
280#14581781C2311yescharacteristic
281#14581781C2311yescharacteristic, complemented
282#14581780—21no—
283#14581780—21no—
284#14581780C2311yescharacteristic, complemented
285#14581778—21no—
286#14581778—21no—
287#14581777—21no—
288#14581777—21no—
289#14581777—21no—
290#14581777—21no—
291#14581777—21no—
292#14581777—21no—
293#14581777—21no—
294#14581777—21no—
295#14581777—21no—
296#14581777D411yescharacteristic
297#14581775—21no—
298#14581775—21no—
299#14581774—21no—
300#14581774D411yescharacteristic
301#14581772—21no—
302#14581772—21no—
303#14581772C2311yescharacteristic
304#14581772C2311yescharacteristic, complemented
305#14581771—21no—
306#14581771C2311yescharacteristic
307#14581770—21no—
308#14581770—21no—
309#14581770—21no—
310#14581770—21no—
311#14581770—21no—
312#14581770—21no—
313#14581770D411yescharacteristic
314#14581769—21no—
315#14581769D411yescharacteristic
316#14581768—21no—
317#14581768—21no—
318#14581768C2311yescharacteristic
319#14581768C2311yescharacteristic
320#14581767—21no—
321#14581767—21no—
322#14581767—21no—
323#14581767—21no—
324#14581767—21no—
325#14581767—21no—
326#14581767—21no—
327#14581767—21no—
328#14581767C2311yescharacteristic
329#14581767C2311yescharacteristic
330#14581767C2311yescharacteristic
331#14581767C2311yescharacteristic
332#14581767C2311yescharacteristic
333#14581767C2311yescharacteristic
334#14581767C2311yescharacteristic, complemented
335#14581766—21no—
336#14581766—21no—
337#14581766—21no—
338#14581766C2311yescharacteristic
339#14581766C2311yescharacteristic
340#14581766C2311yescharacteristic, complemented
341#14581765—21no—
342#14581765—21no—
343#14581765—21no—
344#14581765—21no—
345#14581765—21no—
346#14581765—21no—
347#14581765—21no—
348#14581765—21no—
349#14581765D411yescharacteristic
350#14581764—21no—
351#14581764—21no—
352#14581764D411yescharacteristic
353#14581763C2311yescharacteristic
354#14581762—21no—
355#14581762—21no—
356#14581762—21no—
357#14581762—21no—
358#14581762—21no—
359#14581762—21no—
360#14581762—21no—
361#14581762—21no—
362#14581762—21no—
363#14581762—21no—
364#14581762—21no—
365#14581762—21no—
366#14581762D411yescharacteristic
367#14581761—21no—
368#14581760—21no—
369#14581760—21no—
370#14581760—21no—
371#14581760—21no—
372#14581760—21no—
373#14581760D411yescharacteristic
374#14581757C2311yescharacteristic, complemented
375C4×D332—21no—
376C4×D332C2311yescharacteristic
377C4×D332C2311yescharacteristic
378C4×D332C2311yescharacteristic, complemented
379D4×Dic83C2311yescharacteristic
380#14581754—21no—
381#14581754—21no—
382#14581754C2311yescharacteristic
383#14581754C2311yescharacteristic, complemented
384C4×C22⋊D83—21no—
385C4×C22⋊D83—21no—
386C4×C22⋊D83C2311yescharacteristic
387C4×C22⋊D83C2311yescharacteristic
388(C22⋊D83)⋊C4—21no—
389(C22⋊D83)⋊C4—21no—
390#14581750C2311yescharacteristic
391#14581749C2311yescharacteristic
392C4⋊C4×D83—21no—
393C4⋊C4×D83C2311yescharacteristic
394C4⋊C4×D83C2311yescharacteristic, complemented
395C2×(C2×D83)⋊C4—21no—
396C2×(C2×D83)⋊C4—21no—
397C2×(C2×D83)⋊C4—21no—
398C22⋊C4×D83—21no—
399C22⋊C4×D83—21no—
400C22⋊C4×D83—21no—
401C22⋊C4×D83—21no—
402C22⋊C4×D83—21no—
403C22⋊C4×D83—21no—
404#14581725C2311yescharacteristic, complemented
405#14581724C2311yescharacteristic, complemented
406#14581723C2311yescharacteristic, complemented
407#14581723C2311yescharacteristic, complemented
408#14581723C2311yescharacteristic, complemented
409C4⋊(C83⋊C8)C2311yescharacteristic, complemented
410Dic83⋊C8C2311yescharacteristic, complemented
411Dic83⋊C8C2311yescharacteristic, complemented
412#14581717C2311yescharacteristic, complemented
413#14581716C2311yescharacteristic, complemented
414#14581716C2311yescharacteristic, complemented
415#14581715C2311yescharacteristic, complemented
416#14581714C2311yescharacteristic
417#14581714C2311yescharacteristic
418#14581714C2311yescharacteristic, complemented
419#14581714C2311yescharacteristic, complemented
420#14581714C2311yescharacteristic, complemented
421#14581713C2311yescharacteristic
422#14581713C2311yescharacteristic
423#14581712C2311yescharacteristic
424#14581712C2311yescharacteristic
425#14581712C2311yescharacteristic
426#14581712C2311yescharacteristic
427#14581712C2311yescharacteristic
428#14581712C2311yescharacteristic
429#14581712C2311yescharacteristic, complemented
430#14581712C2311yescharacteristic, complemented
431#14581712C2311yescharacteristic, complemented
432#14581712C2311yescharacteristic, complemented
433#14581712C2311yescharacteristic, complemented
434C22⋊(C83⋊C8)C2311yescharacteristic
435C22⋊(C83⋊C8)C2311yescharacteristic, complemented
436(C2×D83)⋊C8C2311yescharacteristic
437(C2×D83)⋊C8C2311yescharacteristic
438(C2×D83)⋊C8C2311yescharacteristic
439(C2×D83)⋊C8C2311yescharacteristic
440(C2×D83)⋊C8C2311yescharacteristic
441(C2×D83)⋊C8C2311yescharacteristic
442(C2×D83)⋊C8C2311yescharacteristic, complemented
443(C2×D83)⋊C8C2311yescharacteristic, complemented
444#14581702C2311yescharacteristic, complemented
445C4×C83⋊C8C2311yescharacteristic, complemented
446C8×Dic83C2311yescharacteristic, complemented
447C2×#41×C83C2311yescharacteristic
448C22×D4×C83C2311yescharacteristic
449C2×Q16×C83C2311yescharacteristic, complemented
450C2×SD16×C83C2311yescharacteristic
451C2×SD16×C83C2311yescharacteristic
452C2×M16×C83C2311yescharacteristic, complemented
453C22×C8×C83C2311yescharacteristic
454C4⋊Q8×C83C2311yescharacteristic, complemented
455#125×C83—21no—
456#124×C83C2311yescharacteristic
457#123×C83—21no—
458C22⋊Q8×C83—21no—
459C22⋊Q8×C83—21no—
460C22⋊Q8×C83C2311yescharacteristic
461C22⋊Q8×C83C2311yescharacteristic
462C22⋊Q8×C83C2311yescharacteristic, complemented
463#121×C83—21no—
464#121×C83C2311yescharacteristic
465#120×C83—21no—
466C4×Q8×C83C2311yescharacteristic, complemented
467C4×D4×C83—21no—
468C4×D4×C83C2311yescharacteristic
469C4×D4×C83C2311yescharacteristic
470C2×C4⋊C4×C83C2311yescharacteristic
471C2×C4⋊C4×C83C2311yescharacteristic, complemented
472C2×C22⋊C4×C83—21no—
473#107×C83C2311yescharacteristic, complemented
474#107×C83C2311yescharacteristic, complemented
475#107×C83C2311yescharacteristic, complemented
476C4⋊C8×C83C2311yescharacteristic, complemented
477#103×C83C2311yescharacteristic, complemented
478#103×C83C2311yescharacteristic, complemented
479#103×C83C2311yescharacteristic, complemented
480#103×C83C2311yescharacteristic, complemented
481#102×C83C2311yescharacteristic
482#102×C83C2311yescharacteristic
483#102×C83C2311yescharacteristic
484#102×C83C2311yescharacteristic
485#102×C83C2311yescharacteristic
486#102×C83C2311yescharacteristic
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—21no—
498C23×D83—44no—
499C23×D83—82no—
500C23×D83—82no—
501C23×D83C2×D411yescharacteristic
502#13050591—22no—
503#13050591—41no—
504#13050591—41no—
505#13050591—41no—
506#13050591—41no—
507#13050591—41no—
508#13050591—82no—
509#13050590—41no—
510#13050590—41no—
511#13050590—41no—
512#13050590—41no—
513#13050590—44no—
514#13050590—82no—
515C2×Dic166—21no—
516C2×Dic166—21no—
517C2×Dic166C2×D411yescharacteristic
518C2×Dic166C2411yescharacteristic
519Q8×D83—41no—
520Q8×D83—41no—
521C2×D332—22no—
522C2×D332—22no—
523C2×D332—21no—
524C2×D332—21no—
525C2×D332—21no—
526C2×D332—21no—
527C2×D332—21no—
528C2×D332—21no—
529C2×D332—21no—
530C2×D332—21no—
531C2×D332—21no—
532C2×D332—21no—
533C2×D332—21no—
534C2×D332—21no—
535C2×D332—21no—
536C2×D332—21no—
537C2×D332—21no—
538C2×D332—41no—
539C2×D332—41no—
540C2×D332—41no—
541C2×D332—41no—
542C2×D332—44no—
543C2×D332—82no—
544C2×D332—82no—
545C2×D332C2×D411yescharacteristic
546C2×D332C2×D411yescharacteristic
547C2×D332C2411yescharacteristic
548C2×D332C2411yescharacteristic
549C2×D332C2411yescharacteristic
550C2×D332C2411yescharacteristic
551C2×D332C2411yescharacteristic
552C2×C22⋊D83—21no—
553C2×C22⋊D83—21no—
554C2×C22⋊D83—21no—
555C2×C22⋊D83—21no—
556C2×C22⋊D83—21no—
557C2×C22⋊D83—21no—
558C2×C22⋊D83—21no—
559C2×C22⋊D83—21no—
560C2×C22⋊D83—21no—
561C2×C22⋊D83—21no—
562C2×C22⋊D83—21no—
563C2×C22⋊D83—21no—
564C2×C22⋊D83—44no—
565C2×C22⋊D83—82no—
566C2×C22⋊D83C2×D411yescharacteristic
567C2×C22⋊D83C2×D411yescharacteristic
568C2×C22⋊D83C2×D411yescharacteristic
569C2×C22⋊D83C2×D411yescharacteristic
570D4×D83—22no—
571D4×D83—22no—
572D4×D83—22no—
573D4×D83—22no—
574D4×D83—22no—
575D4×D83—41no—
576D4×D83—41no—
577D4×D83—41no—
578D4×D83—41no—
579D4×D83—41no—
580D4×D83—44no—
581D4×D83—44no—
582D4×D83—44no—
583D4×D83—44no—
584D4×D83—82no—
585D4×D83—82no—
586C22×Dic83—21no—
587C22×Dic83C2×D411yescharacteristic
588C2×C4×D83—21no—
589C2×C4×D83—21no—
590C2×C4×D83—21no—
591C2×C4×D83—21no—
592C2×C4×D83—21no—
593C2×C4×D83—21no—
594C2×C4×D83—21no—
595C2×C4×D83—21no—
596C2×C4×D83—21no—
597C2×C4×D83—21no—
598C2×C4×D83—21no—
599C2×C4×D83—41no—
600C2×C4×D83—41no—
601C2×C4×D83C2×D411yescharacteristic
602C2×C4×D83C2×D411yescharacteristic
603C2×C4×D83C2411yescharacteristic
604C2×C4×D83C2411yescharacteristic
605C2×C4×D83C2411yescharacteristic
606#13050580—41no—
607#13050579—22no—
608#13050579—41no—
609#13050579—41no—
610#13050578—22no—
611#13050578—41no—
612#13050577—22no—
613#13050577—41no—
614#13050577—41no—
615#13050577—41no—
616#13050577—41no—
617D664—22no—
618D664—22no—
619D664—41no—
620D664—41no—
621D664—41no—
622D664—41no—
623#13050575—22no—
624#13050575—22no—
625#13050575—41no—
626#13050575—41no—
627#13050573—41no—
628C2×C83⋊C8—41no—
629C2×C83⋊C8—41no—
630C2×C83⋊C8C2411yescharacteristic
631C2×C83⋊C8C2411yescharacteristic
632C2×C83⋊C8C2411yescharacteristic
633C2×C83⋊C8C2411yescharacteristic
634C8×D83—41no—
635C8×D83—41no—
636C8×D83—41no—
637C4⋊Dic83—21no—
638C4⋊Dic83—21no—
639C4⋊Dic83C2×D411yescharacteristic
640C4⋊Dic83C2411yescharacteristic
641C4⋊Dic83C2411yescharacteristic
642Dic83⋊C4—21no—
643Dic83⋊C4—21no—
644Dic83⋊C4—21no—
645Dic83⋊C4—21no—
646Dic83⋊C4—21no—
647Dic83⋊C4—21no—
648Dic83⋊C4—21no—
649Dic83⋊C4C2×D411yescharacteristic
650Dic83⋊C4C2×D411yescharacteristic
651Dic83⋊C4C2×D411yescharacteristic
652Dic83⋊C4C2×D411yescharacteristic
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)⋊C4—21no—
671(C2×D83)⋊C4—21no—
672(C2×D83)⋊C4—21no—
673(C2×D83)⋊C4—21no—
674(C2×D83)⋊C4—21no—
675(C2×D83)⋊C4—21no—
676(C2×D83)⋊C4—21no—
677(C2×D83)⋊C4—21no—
678(C2×D83)⋊C4—21no—
679(C2×D83)⋊C4—21no—
680(C2×D83)⋊C4—21no—
681(C2×D83)⋊C4—21no—
682(C2×D83)⋊C4—21no—
683(C2×D83)⋊C4C2×D411yescharacteristic
684(C2×D83)⋊C4C2×D411yescharacteristic
685(C2×D83)⋊C4C2×D411yescharacteristic
686(C2×D83)⋊C4C2×D411yescharacteristic
687(C2×D83)⋊C4C2×D411yescharacteristic
688(C2×D83)⋊C4C2×D411yescharacteristic
689C4×Dic83—21no—
690C4×Dic83—21no—
691C4×Dic83C2411yescharacteristic
692C24×C83—21no—
693#41×C83—22no—
694#41×C83—41no—
695C2×Q8×C83—21no—
696C2×Q8×C83C2411yescharacteristic
697C2×Q8×C83C2411yescharacteristic
698C2×D4×C83—22no—
699C2×D4×C83—21no—
700C2×D4×C83—21no—
701C2×D4×C83—21no—
702C2×D4×C83—41no—
703C2×D4×C83C2×D411yescharacteristic
704C2×D4×C83C2411yescharacteristic
705C2×D4×C83C2411yescharacteristic
706C22×C4×C83—21no—
707C22×C4×C83—21no—
708C22×C4×C83—21no—
709C22×C4×C83—21no—
710C22×C4×C83C2411yescharacteristic
711C22×C4×C83C2411yescharacteristic
712Q16×C83—41no—
713SD16×C83—22no—
714SD16×C83—41no—
715M16×C83—41no—
716C2×C8×C83—41no—
717C2×C8×C83C2411yescharacteristic
718C2×C8×C83C2411yescharacteristic
719C2×C8×C83C2411yescharacteristic
720C2×C8×C83C2411yescharacteristic
721C4⋊C4×C83—21no—
722C4⋊C4×C83—21no—
723C4⋊C4×C83—21no—
724C4⋊C4×C83—21no—
725C4⋊C4×C83—21no—
726C4⋊C4×C83—21no—
727C4⋊C4×C83—21no—
728C4⋊C4×C83C2×D411yescharacteristic
729C4⋊C4×C83C2411yescharacteristic
730C4⋊C4×C83C2411yescharacteristic
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×C83C2×D411yescharacteristic
741C22⋊C4×C83C2×D411yescharacteristic
742C42×C83—21no—
743C42×C83C2411yescharacteristic
744C23×C83—21no—
745C23×C83—21no—
746C23×C83—42no—
747C23×C83—42no—
748C23×C83—81no—
749C23×C83C22×D411yescharacteristic
750C23×C83C22×D411yescharacteristic
751C22×D83—22no—
752C22×D83—21no—
753C22×D83—24no—
754C22×D83—22no—
755C22×D83—21no—
756C22×D83—21no—
757C22×D83—21no—
758C22×D83—21no—
759C22×D83—41no—
760C22×D83—42no—
761C22×D83—42no—
762C22×D83—42no—
763C22×D83—42no—
764C22×D83—42no—
765C22×D83—42no—
766C22×D83—42no—
767C22×D83—42no—
768C22×D83—42no—
769C22×D83—42no—
770C22×D83—81no—
771C22×D83—81no—
772C22×D83—81no—
773C22×D83—81no—
774C22×D83—81no—
775C22×D83—81no—
776C22×D83—81no—
777C22×D83—81no—
778C22×D83—81no—
779C22×D83—81no—
780C22×D83—81no—
781C22×D83—81no—
782C22×D83—81no—
783C22×D83—816no—
784C22×D83C22×D411yescharacteristic
785C22×D83C22×D411yescharacteristic
786C22×D83C22×D411yescharacteristic
787Q8×C83—21no—
788Q8×C83—21no—
789Q8×C83—21no—
790Q8×C83—21no—
791Q8×C83—81no—
792D4×C83—22no—
793D4×C83—21no—
794D4×C83—21no—
795D4×C83—21no—
796D4×C83—42no—
797D4×C83—42no—
798D4×C83—81no—
799D4×C83H(5,𝔽2)12yes—
800C2×C4×C83—21no—
801C2×C4×C83—21no—
802C2×C4×C83—21no—
803C2×C4×C83—21no—
804C2×C4×C83—21no—
805C2×C4×C83—21no—
806C2×C4×C83—21no—
807C2×C4×C83—21no—
808C2×C4×C83—21no—
809C2×C4×C83—21no—
810C2×C4×C83—42no—
811C2×C4×C83—81no—
812C2×C4×C83—81no—
813C2×C4×C83—81no—
814C2×C4×C83C22×D411yescharacteristic
815C2×C4×C83C22×D411yescharacteristic
816C2×C4×C83C22×D411yescharacteristic
817C2×C4×C83C22×D411yescharacteristic
818C2×C4×C83C2511yescharacteristic
819C22⋊D83—24no—
820C22⋊D83—22no—
821C22⋊D83—22no—
822C22⋊D83—41no—
823C22⋊D83—41no—
824C22⋊D83—42no—
825C22⋊D83—42no—
826C22⋊D83—42no—
827C22⋊D83—42no—
828C22⋊D83—42no—
829C22⋊D83—81no—
830C22⋊D83—81no—
831C22⋊D83—81no—
832C22⋊D83—81no—
833C22⋊D83—81no—
834C22⋊D83—81no—
835C2×Dic83—21no—
836C2×Dic83—21no—
837C2×Dic83—21no—
838C2×Dic83—41no—
839C2×Dic83—81no—
840C2×Dic83C22×D411yescharacteristic
841C2×Dic83C22×D411yescharacteristic
842C2×Dic83C22×D411yescharacteristic
843C2×Dic83C22×D411yescharacteristic
844C2×Dic83C22×D411yescharacteristic
845D332—22no—
846D332—21no—
847D332—21no—
848D332—21no—
849D332—21no—
850D332—21no—
851D332—21no—
852D332—21no—
853D332—21no—
854D332—21no—
855D332—41no—
856D332—42no—
857D332—42no—
858D332—42no—
859D332—42no—
860D332—42no—
861D332—42no—
862D332—42no—
863D332—81no—
864D332—81no—
865D332—81no—
866D332—81no—
867D332—81no—
868D332—81no—
869D332—81no—
870D332—81no—
871D332H(5,𝔽2)12yes—
872C4×D83—21no—
873C4×D83—21no—
874C4×D83—21no—
875C4×D83—21no—
876C4×D83—21no—
877C4×D83—21no—
878C4×D83—41no—
879C4×D83—41no—
880C4×D83—42no—
881C4×D83—42no—
882C4×D83—42no—
883C4×D83—81no—
884C4×D83—81no—
885C4×D83—81no—
886C4×D83—81no—
887C4×D83—81no—
888C4×D83—81no—
889C4×D83—81no—
890C4×D83—81no—
891Dic166—21no—
892Dic166—21no—
893Dic166—41no—
894Dic166—81no—
895Dic166—81no—
896C8×C83—21no—
897C8×C83—21no—
898C8×C83—21no—
899C8×C83—21no—
900C83⋊C8—21no—
901C83⋊C8—21no—
902C83⋊C8—21no—
903C83⋊C8—21no—
904C22×C83—21no—
905C22×C83—21no—
906C22×C83—22no—
907C22×C83—21no—
908C22×C83—21no—
909C22×C83—21no—
910C22×C83—41no—
911C22×C83—41no—
912C22×C83—41no—
913C22×C83—41no—
914C22×C83—41no—
915C22×C83—84no—
916C22×C83#57712yes—
917C22×C83C23×D411yescharacteristic
918C2×D83—21no—
919C2×D83—21no—
920C2×D83—21no—
921C2×D83—21no—
922C2×D83—22no—
923C2×D83—21no—
924C2×D83—21no—
925C2×D83—21no—
926C2×D83—21no—
927C2×D83—44no—
928C2×D83—41no—
929C2×D83—41no—
930C2×D83—41no—
931C2×D83—41no—
932C2×D83—41no—
933C2×D83—41no—
934C2×D83—41no—
935C2×D83—41no—
936C2×D83—41no—
937C2×D83—41no—
938C2×D83—41no—
939C2×D83—41no—
940C2×D83—41no—
941C2×D83—41no—
942C2×D83—84no—
943C2×D83—84no—
944C2×D83—84no—
945C2×D83—84no—
946C2×D83—84no—
947C2×D83—162no—
948C2×D83—162no—
949C2×D83—162no—
950C2×D83#57612yes—
951C4×C83—21no—
952C4×C83—21no—
953C4×C83—21no—
954C4×C83—21no—
955C4×C83—41no—
956C4×C83—41no—
957C4×C83—41no—
958C4×C83—41no—
959C4×C83—41no—
960C4×C83—41no—
961C4×C83C2×H(5,𝔽2)11yescharacteristic
962C4×C83C2×H(5,𝔽2)11yescharacteristic
963Dic83—21no—
964Dic83—21no—
965Dic83—21no—
966Dic83—21no—
967Dic83—21no—
968Dic83—41no—
969Dic83—41no—
970Dic83—41no—
971#61629—831nomaximal, Sylow
972C2×C83—22no—
973C2×C83—42no—
974C2×C83—41no—
975C2×C83—81no—
976C2×C83#348411yescharacteristic
977C2×C83C2×#57611yescharacteristic
978C2×C83C2×#57711yescharacteristic
979D83—22no—
980D83—41no—
981D83—41no—
982D83—42no—
983D83—81no—
984D83—81no—
985D83—81no—
986D83—81no—
987#3536—831no—
988#3484—831no—
989#3314—831no—
990#3314D8311yescharacteristic, complemented
991#3306—831no—
992#3306—831no—
993#3295—831no—
994#3295—831no—
995#3294—831no—
996#3294—831no—
997#3282—831no—
998#3282—831no—
999#3280—831no—
1000#3280—831no—
1001#3265—831no—
1002#3265—831no—
1003#3264—831no—
1004#3264—831no—
1005#3224—831no—
1006#3224—831no—
1007#3198—831no—
1008#3198—831no—
1009#3190—831no—
1010#3188—831no—
1011#3118—831no—
1012#3118—831no—
1013#3012—831no—
1014#3012—831no—
1015C2×#450—831no—
1016C2×#447—831no—
1017#2977—831no—
1018C83#6162911yescharacteristic, complemented, Sylow
1019C2×H(5,𝔽2)—831no—
1020C23×D4—831no—
1021C2×AGL(1,ℤ/8)—831no—
1022C2×AGL(1,ℤ/8)—831no—
1023C2×#135—831no—
1024C2×#135—831no—
1025C22×SD16—831no—
1026C22×SD16—831no—
1027C22×D8—831no—
1028C22×D8—831no—
1029#562—1661no—
1030#562—1661no—
1031#554—831no—
1032#554C2×D8311yescharacteristic, complemented
1033#548—831no—
1034#548—831no—
1035#547—831no—
1036#547—831no—
1037#546—831no—
1038#546—831no—
1039#546—831no—
1040#546—831no—
1041#546—831no—
1042#546—1661no—
1043#546—1661no—
1044#546—1661no—
1045#546—1661no—
1046#546C2×D8311yescharacteristic
1047D42—831no—
1048D42—831no—
1049D42—831no—
1050D42—831no—
1051D42—1661no—
1052D42—1661no—
1053#543—1661no—
1054#542—831no—
1055#542—831no—
1056#539—1661no—
1057#538—1661no—
1058#537—831no—
1059#537—831no—
1060#537—1661no—
1061#535—831no—
1062#535—831no—
1063#534—1661no—
1064#534—1661no—
1065#525—831no—
1066#525—831no—
1067C2×C22⋊Q8—831no—
1068C2×#121—831no—
1069C2×#120—1661no—
1070C2×#120—1661no—
1071#518—831no—
1072#496—831no—
1073#496—831no—
1074#495—831no—
1075#495—831no—
1076#489—831no—
1077#489C2×D8311yescharacteristic, complemented
1078#486—831no—
1079#486—831no—
1080#485—831no—
1081#485—831no—
1082#484C2×D8311yescharacteristic, complemented
1083#483—831no—
1084#482—831no—
1085#482—831no—
1086#481—831no—
1087#481—831no—
1088#481—831no—
1089#480—831no—
1090#480—831no—
1091#480C2×D8311yescharacteristic, complemented
1092#476—831no—
1093#476—831no—
1094#474—831no—
1095#474C2×D8311yescharacteristic, complemented
1096#469—831no—
1097#469—831no—
1098#468—831no—
1099#468C2×D8311yescharacteristic, complemented
1100#467—831no—
1101#467C2×D8311yescharacteristic, complemented
1102#466—831no—
1103#466—831no—
1104#466—831no—
1105#466—831no—
1106#465—831no—
1107#465—831no—
1108#465—831no—
1109#465—831no—
1110#465—831no—
1111#465—831no—
1112#464—831no—
1113#464C2×D8311yescharacteristic, complemented
1114#463—831no—
1115#463—831no—
1116#463—831no—
1117#463—831no—
1118#463—831no—
1119#463—831no—
1120#460—831no—
1121#460—831no—
1122#459—831no—
1123#459—831no—
1124#452—831no—
1125#452—831no—
1126#452—831no—
1127#452C2×D8311yescharacteristic, complemented
1128#451—831no—
1129#450—831no—
1130#450—831no—
1131#450—831no—
1132#450—831no—
1133#450—831no—
1134#450—831no—
1135#450—831no—
1136#450—831no—
1137#450—831no—
1138#450—831no—
1139#450C2×D8311yescharacteristic, complemented
1140#449—831no—
1141#449—831no—
1142#449—831no—
1143#449—831no—
1144#449—831no—
1145#449—831no—
1146#449—831no—
1147#449—831no—
1148#448—831no—
1149#447—831no—
1150#447—831no—
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#442—831no—
1161#442—831no—
1162#440—831no—
1163#440C2×D8311yescharacteristic, complemented
1164C4×SD16—831no—
1165C4×SD16—831no—
1166C4×D8—831no—
1167C4×D8—831no—
1168#435—831no—
1169#435—831no—
1170#435—831no—
1171#435C2×D8311yescharacteristic, complemented
1172C8×D4—831no—
1173C8×D4—831no—
1174C8×D4—831no—
1175C8×D4—831no—
1176#433—831no—
1177#433—831no—
1178#417—831no—
1179#417C2×D8311yescharacteristic, complemented
1180C2×#102—831no—
1181C2×#102—831no—
1182C2×#102—831no—
1183C2×#102—831no—
1184C2×#102—831no—
1185C2×#102C2×D8311yescharacteristic, complemented
1186#408—831no—
1187#408—831no—
1188C2×C22⋊C8—831no—
1189C2×C22⋊C8—831no—
1190C25—1661no—
1191H(5,𝔽2)—3322no—
1192H(5,𝔽2)—3322no—
1193C2×#41—831no—
1194C2×#41—831no—
1195C2×#41—831no—
1196C2×#41—831no—
1197C2×#41—831no—
1198C2×#41—1661no—
1199C2×#41—1661no—
1200C2×#41—1661no—
1201C2×#41C22×D8311yescharacteristic
1202C22×Q8—831no—
1203C22×D4—3322no—
1204C22×D4—3322no—
1205C22×D4—831no—
1206C22×D4—831no—
1207C22×D4—831no—
1208C22×D4—831no—
1209C22×D4—831no—
1210C22×D4—831no—
1211C22×D4—831no—
1212C22×D4—831no—
1213C22×D4—1661no—
1214C22×D4—1661no—
1215C22×D4—1661no—
1216C22×D4—1661no—
1217C22×D4—1661no—
1218C22×D4—1661no—
1219C22×D4—1661no—
1220C22×D4—1661no—
1221C22×D4—1661no—
1222C22×D4—1661no—
1223C22×D4—1661no—
1224C22×D4C22×D8311yescharacteristic
1225C23×C4—831no—
1226AGL(1,ℤ/8)—3322no—
1227AGL(1,ℤ/8)—3322no—
1228#135—3322no—
1229#135—3322no—
1230C2×Q16—831no—
1231C2×Q16C22×D8311yescharacteristic, complemented
1232C2×SD16—3322no—
1233C2×SD16—3322no—
1234C2×SD16—831no—
1235C2×SD16—831no—
1236C2×SD16—831no—
1237C2×SD16—831no—
1238C2×SD16—831no—
1239C2×SD16—831no—
1240C2×SD16—831no—
1241C2×SD16—831no—
1242C2×SD16—831no—
1243C2×SD16—831no—
1244C2×SD16C22×D8311yescharacteristic
1245C2×SD16C22×D8311yescharacteristic
1246C2×D8—3322no—
1247C2×D8—3322no—
1248C2×D8—831no—
1249C2×D8—831no—
1250C2×D8—831no—
1251C2×D8—831no—
1252C2×D8—831no—
1253C2×D8—831no—
1254C2×D8—831no—
1255C2×D8—831no—
1256C2×D8—831no—
1257C2×D8—831no—
1258C2×M16—831no—
1259C2×M16C22×D8311yescharacteristic, complemented
1260C22×C8—831no—
1261C22×C8—831no—
1262C22×C8—831no—
1263C22×C8—831no—
1264C22×C8—831no—
1265C22×C8C22×D8311yescharacteristic
1266C4⋊Q8—831no—
1267C4⋊Q8C22×D8311yescharacteristic, complemented
1268#127—831no—
1269#127—831no—
1270#127—1661no—
1271#126—1661no—
1272#126—1661no—
1273#125—21no—
1274#125—1661no—
1275#124—831no—
1276#124—831no—
1277#124—831no—
1278#124—1661no—
1279#124—1661no—
1280#124—1661no—
1281#124—1661no—
1282#124—1661no—
1283#124C22×D8311yescharacteristic
1284#123—21no—
1285#123—831no—
1286#123—831no—
1287#123—1661no—
1288#123—1661no—
1289#123—1661no—
1290#123—1661no—
1291#123—1661no—
1292#123—1661no—
1293#123—1661no—
1294#123—1661no—
1295#123—1661no—
1296#123—1661no—
1297#123—1661no—
1298#123—1661no—
1299C22⋊Q8—21no—
1300C22⋊Q8—21no—
1301C22⋊Q8—831no—
1302C22⋊Q8—831no—
1303C22⋊Q8—831no—
1304C22⋊Q8—831no—
1305C22⋊Q8—831no—
1306C22⋊Q8—831no—
1307C22⋊Q8—831no—
1308C22⋊Q8—1661no—
1309C22⋊Q8—1661no—
1310C22⋊Q8—1661no—
1311C22⋊Q8—1661no—
1312C22⋊Q8—1661no—
1313C22⋊Q8—1661no—
1314C22⋊Q8—1661no—
1315C22⋊Q8—1661no—
1316C22⋊Q8—1661no—
1317C22⋊Q8—1661no—
1318C22⋊Q8—1661no—
1319C22⋊Q8—1661no—
1320C22⋊Q8C22×D8311yescharacteristic
1321C22⋊Q8C22×D8311yescharacteristic
1322C22⋊Q8C22×D8311yescharacteristic, complemented
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—1661no—
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#121C22×D8311yescharacteristic
1359#120—21no—
1360#120—831no—
1361#120—831no—
1362#120—1661no—
1363#120—1661no—
1364#120—1661no—
1365#120—1661no—
1366#120—1661no—
1367#120—1661no—
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—
1380C4×Q8—831no—
1381C4×Q8C22×D8311yescharacteristic, complemented
1382C4×D4—21no—
1383C4×D4—831no—
1384C4×D4—831no—
1385C4×D4—831no—
1386C4×D4—831no—
1387C4×D4—831no—
1388C4×D4—831no—
1389C4×D4—831no—
1390C4×D4—831no—
1391C4×D4—1661no—
1392C4×D4—1661no—
1393C4×D4—1661no—
1394C4×D4—1661no—
1395C4×D4—1661no—
1396C4×D4—1661no—
1397C4×D4—1661no—
1398C4×D4C22×D8311yescharacteristic
1399C4×D4C22×D8311yescharacteristic
1400#117—831no—
1401#117—831no—
1402C2×C4⋊C4—831no—
1403C2×C4⋊C4—831no—
1404C2×C4⋊C4—1661no—
1405C2×C4⋊C4C22×D8311yescharacteristic
1406C2×C4⋊C4C22×D8311yescharacteristic, complemented
1407C2×C22⋊C4—21no—
1408C2×C22⋊C4—1661no—
1409C2×C22⋊C4—1661no—
1410C2×C22⋊C4—1661no—
1411C2×C22⋊C4—1661no—
1412C2×C22⋊C4—1661no—
1413C2×C22⋊C4—1661no—
1414C2×C22⋊C4—1661no—
1415C2×C22⋊C4—1661no—
1416C2×C22⋊C4—1661no—
1417#107—831no—
1418#107C22×D8311yescharacteristic, complemented
1419#107C22×D8311yescharacteristic, complemented
1420#107C22×D8311yescharacteristic, complemented
1421#106—831no—
1422#106—831no—
1423#106—831no—
1424#106—831no—
1425C4⋊C8—831no—
1426C4⋊C8—831no—
1427C4⋊C8—831no—
1428C4⋊C8C22×D8311yescharacteristic, complemented
1429#103—831no—
1430#103—831no—
1431#103—831no—
1432#103—831no—
1433#103C22×D8311yescharacteristic, complemented
1434#103C22×D8311yescharacteristic, complemented
1435#103C22×D8311yescharacteristic, complemented
1436#103C22×D8311yescharacteristic, complemented
1437#102—831no—
1438#102—831no—
1439#102—831no—
1440#102—831no—
1441#102—831no—
1442#102—831no—
1443#102—831no—
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#102C22×D8311yescharacteristic
1456#102C22×D8311yescharacteristic
1457#102C22×D8311yescharacteristic
1458#102C22×D8311yescharacteristic
1459#102C22×D8311yescharacteristic
1460#102C22×D8311yescharacteristic
1461C22⋊C8—831no—
1462C22⋊C8—831no—
1463C22⋊C8—831no—
1464C22⋊C8—831no—
1465C22⋊C8—831no—
1466C22⋊C8—831no—
1467C22⋊C8—831no—
1468C22⋊C8—831no—
1469C22⋊C8—831no—
1470C22⋊C8—831no—
1471C22⋊C8C22×D8311yescharacteristic
1472C22⋊C8C22×D8311yescharacteristic, complemented
1473#97—831no—
1474#97C22×D8311yescharacteristic, complemented
1475C4×C8—831no—
1476C4×C8—831no—
1477C24—21no—
1478C24—3324no—
1479C24—831no—
1480C24—6642no—
1481C24—6642no—
1482C24—1661no—
1483C24—1661no—
1484C24—1661no—
1485C24—1661no—
1486C24—1661no—
1487C24—1661no—
1488C24—1661no—
1489C24—1661no—
1490#41—22no—
1491#41—41no—
1492#41—3321no—
1493#41—3321no—
1494#41—3321no—
1495#41—3321no—
1496#41—3324no—
1497#41—3321no—
1498#41—3321no—
1499#41—3321no—
1500#41—3321no—
1501#41—3321no—
1502#41—6642no—
1503#41—6642no—
1504#41—1662no—
1505C2×Q8—21no—
1506C2×Q8—3321no—
1507C2×Q8—3321no—
1508C2×Q8—831no—
1509C2×Q8—831no—
1510C2×Q8—1661no—
1511C2×Q8—1661no—
1512C2×Q8C23×D8311yescharacteristic
1513C2×Q8C23×D8311yescharacteristic
1514C2×D4—22no—
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—41no—
1519C2×D4—3321no—
1520C2×D4—3321no—
1521C2×D4—3321no—
1522C2×D4—3321no—
1523C2×D4—3324no—
1524C2×D4—3324no—
1525C2×D4—3324no—
1526C2×D4—3324no—
1527C2×D4—3324no—
1528C2×D4—3324no—
1529C2×D4—3321no—
1530C2×D4—3321no—
1531C2×D4—3321no—
1532C2×D4—3321no—
1533C2×D4—3321no—
1534C2×D4—831no—
1535C2×D4—831no—
1536C2×D4—831no—
1537C2×D4—831no—
1538C2×D4—831no—
1539C2×D4—831no—
1540C2×D4—831no—
1541C2×D4—831no—
1542C2×D4—831no—
1543C2×D4—831no—
1544C2×D4—831no—
1545C2×D4—6642no—
1546C2×D4—6642no—
1547C2×D4—6642no—
1548C2×D4—6642no—
1549C2×D4—6642no—
1550C2×D4—1661no—
1551C2×D4—1661no—
1552C2×D4—1661no—
1553C2×D4—1661no—
1554C2×D4—1661no—
1555C2×D4—1662no—
1556C2×D4—1662no—
1557C2×D4—1661no—
1558C2×D4—1661no—
1559C2×D4—1661no—
1560C2×D4—1661no—
1561C2×D4—1661no—
1562C2×D4—1661no—
1563C2×D4—1661no—
1564C2×D4—1661no—
1565C2×D4—1661no—
1566C2×D4—1661no—
1567C2×D4—1661no—
1568C2×D4—1661no—
1569C2×D4—1662no—
1570C2×D4—1662no—
1571C2×D4—1661no—
1572C2×D4—1662no—
1573C2×D4—1662no—
1574C2×D4—1661no—
1575C2×D4—1661no—
1576C2×D4—1661no—
1577C2×D4—1661no—
1578C2×D4—1662no—
1579C2×D4—1661no—
1580C2×D4—1661no—
1581C2×D4—1661no—
1582C2×D4—1661no—
1583C2×D4—1661no—
1584C2×D4D4×D8311yescharacteristic
1585C2×D4C23×D8311yescharacteristic
1586C2×D4C23×D8311yescharacteristic
1587C22×C4—21no—
1588C22×C4—21no—
1589C22×C4—21no—
1590C22×C4—21no—
1591C22×C4—3321no—
1592C22×C4—3321no—
1593C22×C4—831no—
1594C22×C4—831no—
1595C22×C4—831no—
1596C22×C4—831no—
1597C22×C4—831no—
1598C22×C4—831no—
1599C22×C4—1661no—
1600C22×C4—1661no—
1601C22×C4—1661no—
1602C22×C4—1661no—
1603C22×C4—1661no—
1604C22×C4—1661no—
1605C22×C4—1661no—
1606C22×C4—1661no—
1607C22×C4—1661no—
1608C22×C4—1661no—
1609C22×C4—1661no—
1610C22×C4—1661no—
1611C22×C4C23×D8311yescharacteristic
1612C22×C4C23×D8311yescharacteristic
1613Q16—41no—
1614Q16—3321no—
1615SD16—22no—
1616SD16—41no—
1617SD16—3321no—
1618SD16—3321no—
1619SD16—3321no—
1620SD16—3321no—
1621SD16—3321no—
1622SD16—3321no—
1623SD16—3321no—
1624SD16—1662no—
1625SD16—1662no—
1626SD16—1662no—
1627D8—3321no—
1628D8—3321no—
1629D8—3321no—
1630D8—3321no—
1631D8—3321no—
1632D8—3321no—
1633D8—1662no—
1634D8—1662no—
1635D8—1662no—
1636D8—1662no—
1637M16—41no—
1638M16—3321no—
1639C2×C8—41no—
1640C2×C8—3321no—
1641C2×C8—3321no—
1642C2×C8—3321no—
1643C2×C8—3321no—
1644C2×C8—3321no—
1645C2×C8—831no—
1646C2×C8—831no—
1647C2×C8—831no—
1648C2×C8—831no—
1649C2×C8C23×D8311yescharacteristic
1650C2×C8C23×D8311yescharacteristic
1651C2×C8C23×D8311yescharacteristic
1652C2×C8C23×D8311yescharacteristic
1653C4⋊C4—21no—
1654C4⋊C4—21no—
1655C4⋊C4—21no—
1656C4⋊C4—21no—
1657C4⋊C4—21no—
1658C4⋊C4—21no—
1659C4⋊C4—21no—
1660C4⋊C4—831no—
1661C4⋊C4—831no—
1662C4⋊C4—831no—
1663C4⋊C4—831no—
1664C4⋊C4—831no—
1665C4⋊C4—831no—
1666C4⋊C4—831no—
1667C4⋊C4—1661no—
1668C4⋊C4—1661no—
1669C4⋊C4—1661no—
1670C4⋊C4—1661no—
1671C4⋊C4—1661no—
1672C4⋊C4—1661no—
1673C4⋊C4—1661no—
1674C4⋊C4—1661no—
1675C4⋊C4—1661no—
1676C4⋊C4D4×D8311yescharacteristic
1677C4⋊C4C23×D8311yescharacteristic
1678C4⋊C4C23×D8311yescharacteristic
1679C4⋊C4C23×D8311yescharacteristic
1680C4⋊C4C23×D8311yescharacteristic
1681C22⋊C4—21no—
1682C22⋊C4—21no—
1683C22⋊C4—21no—
1684C22⋊C4—21no—
1685C22⋊C4—21no—
1686C22⋊C4—21no—
1687C22⋊C4—21no—
1688C22⋊C4—831no—
1689C22⋊C4—831no—
1690C22⋊C4—831no—
1691C22⋊C4—831no—
1692C22⋊C4—831no—
1693C22⋊C4—831no—
1694C22⋊C4—831no—
1695C22⋊C4—831no—
1696C22⋊C4—1661no—
1697C22⋊C4—1661no—
1698C22⋊C4—1661no—
1699C22⋊C4—1661no—
1700C22⋊C4—1661no—
1701C22⋊C4—1661no—
1702C22⋊C4—1661no—
1703C22⋊C4—1661no—
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⋊C4D4×D8311yescharacteristic
1725C22⋊C4D4×D8311yescharacteristic
1726C42—21no—
1727C42—831no—
1728C42—1661no—
1729C42—1661no—
1730C42C23×D8311yescharacteristic
1731C23—21no—
1732C23—21no—
1733C23—42no—
1734C23—42no—
1735C23—81no—
1736C23—3322no—
1737C23—3322no—
1738C23—3321no—
1739C23—3322no—
1740C23—3322no—
1741C23—3322no—
1742C23—3322no—
1743C23—3322no—
1744C23—3322no—
1745C23—3322no—
1746C23—3322no—
1747C23—831no—
1748C23—831no—
1749C23—831no—
1750C23—6641no—
1751C23—6641no—
1752C23—6641no—
1753C23—6641no—
1754C23—6641no—
1755C23—6641no—
1756C23—6641no—
1757C23—6641no—
1758C23—6641no—
1759C23—6641no—
1760C23—6641no—
1761C23—6641no—
1762C23—6641no—
1763C23—66416no—
1764C23—1662no—
1765C23—1664no—
1766C23—1661no—
1767C23—1661no—
1768C23—1661no—
1769C23—1661no—
1770C23—1662no—
1771C23—1661no—
1772C23C2×D4×D8311yescharacteristic
1773C23C2×D4×D8311yescharacteristic
1774Q8—21no—
1775Q8—21no—
1776Q8—21no—
1777Q8—21no—
1778Q8—81no—
1779Q8—3321no—
1780Q8—6641no—
1781Q8—6641no—
1782Q8—1661no—
1783Q8—1661no—
1784D4—22no—
1785D4—21no—
1786D4—21no—
1787D4—21no—
1788D4—42no—
1789D4—42no—
1790D4—81no—
1791D4—3322no—
1792D4—3322no—
1793D4—3321no—
1794D4—3322no—
1795D4—3322no—
1796D4—3322no—
1797D4—3322no—
1798D4—3322no—
1799D4—3322no—
1800D4—3322no—
1801D4—3322no—
1802D4—3321no—
1803D4—3321no—
1804D4—3322no—
1805D4—3322no—
1806D4—832no—
1807D4—6641no—
1808D4—6641no—
1809D4—6641no—
1810D4—6641no—
1811D4—6641no—
1812D4—6641no—
1813D4—6641no—
1814D4—6641no—
1815D4—6641no—
1816D4—6641no—
1817D4—6641no—
1818D4—6641no—
1819D4—6641no—
1820D4—6641no—
1821D4—1662no—
1822D4—1662no—
1823D4—1664no—
1824D4—1662no—
1825D4—1661no—
1826D4—1661no—
1827D4—1661no—
1828D4—1661no—
1829D4—1661no—
1830D4—1661no—
1831D4—1661no—
1832D4—1661no—
1833D4—1661no—
1834D4#1458183812yes—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—21no—
1842C2×C4—21no—
1843C2×C4—21no—
1844C2×C4—21no—
1845C2×C4—42no—
1846C2×C4—81no—
1847C2×C4—81no—
1848C2×C4—81no—
1849C2×C4—3321no—
1850C2×C4—3321no—
1851C2×C4—3322no—
1852C2×C4—3322no—
1853C2×C4—3322no—
1854C2×C4—3321no—
1855C2×C4—831no—
1856C2×C4—831no—
1857C2×C4—831no—
1858C2×C4—831no—
1859C2×C4—831no—
1860C2×C4—6641no—
1861C2×C4—6641no—
1862C2×C4—6641no—
1863C2×C4—6641no—
1864C2×C4—6641no—
1865C2×C4—6641no—
1866C2×C4—6641no—
1867C2×C4—6641no—
1868C2×C4—6641no—
1869C2×C4—1661no—
1870C2×C4—1661no—
1871C2×C4—1661no—
1872C2×C4—1661no—
1873C2×C4—1661no—
1874C2×C4—1661no—
1875C2×C4—1661no—
1876C2×C4—1661no—
1877C2×C4—1661no—
1878C2×C4C2×D4×D8311yescharacteristic
1879C2×C4C2×D4×D8311yescharacteristic
1880C2×C4C2×D4×D8311yescharacteristic
1881C2×C4C2×D4×D8311yescharacteristic
1882C2×C4C24×D8311yescharacteristic
1883C8—21no—
1884C8—21no—
1885C8—21no—
1886C8—21no—
1887C8—1661no—
1888C8—1661no—
1889C8—1661no—
1890C8—1661no—
1891C22—21no—
1892C22—21no—
1893C22—21no—
1894C22—22no—
1895C22—21no—
1896C22—21no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—41no—
1901C22—41no—
1902C22—84no—
1903C22—13282no—
1904C22—13282no—
1905C22—13282no—
1906C22—3324no—
1907C22—3321no—
1908C22—3321no—
1909C22—3321no—
1910C22—3321no—
1911C22—3321no—
1912C22—3321no—
1913C22—3321no—
1914C22—3321no—
1915C22—3321no—
1916C22—3321no—
1917C22—3321no—
1918C22—3321no—
1919C22—3321no—
1920C22—3321no—
1921C22—832no—
1922C22—6644no—
1923C22—6644no—
1924C22—6644no—
1925C22—6644no—
1926C22—6644no—
1927C22—1661no—
1928C22—1662no—
1929C22—1661no—
1930C22—1661no—
1931C22—1661no—
1932C22—1661no—
1933C22—1661no—
1934C22—1661no—
1935C22—1661no—
1936C22#1912851012yes—
1937C22C22×D4×D8311yescharacteristic
1938C4—21no—
1939C4—21no—
1940C4—21no—
1941C4—21no—
1942C4—41no—
1943C4—41no—
1944C4—41no—
1945C4—41no—
1946C4—41no—
1947C4—41no—
1948C4—3321no—
1949C4—3321no—
1950C4—3321no—
1951C4—1661no—
1952C4—1661no—
1953C4—1661no—
1954C4—1661no—
1955C4—1661no—
1956C4H(5,𝔽2)×D8311yescharacteristic
1957C4C2×#1458183811yescharacteristic
1958C2—22no—
1959C2—41no—
1960C2—42no—
1961C2—81no—
1962C2—3321no—
1963C2—3322no—
1964C2—3321no—
1965C2—6641no—
1966C2—6641no—
1967C2—6641no—
1968C2—6641no—
1969C2—1662no—
1970C2#2492109311yescharacteristic
1971C2#576×D8311yescharacteristic
1972C2C2×#1912851011yescharacteristic
subgroupG/H
centerC22C22×D4×D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC83×#3314C2
socleC22×C83C23×D4
hypercenter#3314D83
hypocenterC83#61629
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3314

Complements

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

NH ≅ G/Ntype
1. #24921691C2semidirect
2. #24921093C2semidirect
3. #24919542C2semidirect
4. #24919425C2semidirect
5. #24919423C2semidirect
6. #24919283C2semidirect
7. #24919281C2semidirect
8. #24919274C2semidirect
9. #24919273C2semidirect
10. #24919168C2semidirect
11. #24919165C2semidirect
12. #24919145C2semidirect
13. #24919144C2semidirect
14. #24918965C2semidirect
15. #24918960C2semidirect
16. #24918948C2semidirect
17. #24918947C2semidirect
18. #24918564C2semidirect
19. #24918558C2semidirect
20. #24918322C2semidirect
21. #24918316C2semidirect
22. #24918245C2semidirect
23. #24918233C2semidirect
24. #24917654C2semidirect
25. #24917651C2semidirect
26. #24916771C2semidirect
27. #24916769C2semidirect
28. #450×D83C2semidirect
29. C2×#19127836C2semidirect
30. #24916514C2semidirect
31. C83×#3314C2semidirect
32. C2×#14581838C22semidirect
34. C2×#14581820C22semidirect
35. C2×#14581819C22semidirect
36. C2×#14581815C22semidirect
37. C2×#14581812C22semidirect
38. C2×SD16×D83C22semidirect
39. C2×SD16×D83C22semidirect
40. C22×D664C22semidirect
41. C22×#13050575C22semidirect
44. #19128406C22semidirect
45. #19128363C22semidirect
46. #19128361C22semidirect
47. #19128354C22semidirect
48. #19128352C22semidirect
50. #19128347C22semidirect
51. #19128344C22semidirect
55. #19128342C22semidirect
57. #19128339C22semidirect
59. D4×D332C22semidirect
61. #19128335C22semidirect
65. #19128325C22semidirect
66. #19128323C22semidirect
69. #19128282C22semidirect
71. #19128281C22semidirect
72. #19128269C22semidirect
73. #19128267C22semidirect
78. C22⋊Q8×D83C22semidirect
79. C2×#14581767C22semidirect
82. #19128173C22semidirect
83. #19128090C22semidirect
84. #19128087C22semidirect
85. #19128086C22semidirect
86. #19128083C22semidirect
87. #19128062C22semidirect
88. #19128049C22semidirect
89. #19128046C22semidirect
90. #19128044C22semidirect
91. #19128040C22semidirect
92. #19128030C22semidirect
93. #19128028C22semidirect
94. #19128028C22semidirect
95. #19128019C22semidirect
96. #19128019C22semidirect
97. #19128018C22semidirect
98. #19128016C22semidirect
99. #19128016C22semidirect
100. #19127989C22semidirect
101. #19127988C22semidirect
102. #19127980C22semidirect
103. #19127954C22semidirect
104. #19127953C22semidirect
105. #19127948C22semidirect
106. #19127940C22semidirect
107. #19127938C22semidirect
108. #19127938C22semidirect
109. #19127938C22semidirect
110. #19127935C22semidirect
111. #19127933C22semidirect
112. #19127933C22semidirect
113. #19127932C22semidirect
114. #19127932C22semidirect
115. #19127930C22semidirect
116. #19127929C22semidirect
117. #19127926C22semidirect
118. #19127919C22semidirect
119. #19127919C22semidirect
120. #19127918C22semidirect
121. #19127917C22semidirect
122. #19127916C22semidirect
123. #19127913C22semidirect
124. #19127901C22semidirect
125. #19127900C22semidirect
126. #19127897C22semidirect
127. #19127895C22semidirect
128. #19127866C22semidirect
129. #19127866C22semidirect
130. #19127862C22semidirect
131. #19127855C22semidirect
132. #19127854C22semidirect
133. #19127853C22semidirect
134. #19127853C22semidirect
135. #19127853C22semidirect
136. #19127852C22semidirect
137. #19127851C22semidirect
138. #19127851C22semidirect
139. #19127851C22semidirect
140. #19127850C22semidirect
141. #19127850C22semidirect
142. #19127849C22semidirect
143. #19127849C22semidirect
144. #19127849C22semidirect
145. #19127849C22semidirect
146. #19127848C22semidirect
147. #19127846C22semidirect
148. #19127845C22semidirect
149. #19127844C22semidirect
150. #19127841C22semidirect
151. #19127837C22semidirect
152. #19127837C22semidirect
155. #19127836C22semidirect
156. #19127836C22semidirect
157. #19127836C22semidirect
158. #19127836C22semidirect
159. #19127836C22semidirect
160. #19127836C22semidirect
161. #19127836C22semidirect
162. #19127814C22semidirect
163. #19127810C22semidirect
164. #19127800C22semidirect
165. #19127792C22semidirect
166. C4×#13050577C22semidirect
167. #19127783C22semidirect
168. C4×#13050575C22semidirect
169. #19127774C22semidirect
170. #19127770C22semidirect
171. #19127769C22semidirect
172. D4×C83⋊C8C22semidirect
173. #19127766C22semidirect
174. C8×C22⋊D83C22semidirect
175. (C22⋊D83)⋊C8C22semidirect
176. #19127763C22semidirect
177. #19127761C22semidirect
178. #19127701C22semidirect
179. C2×#14581712C22semidirect
180. C2×#14581712C22semidirect
181. #102×D83C22semidirect
182. #102×D83C22semidirect
183. #102×D83C22semidirect
184. #19127669C22semidirect
185. #19127666C22semidirect
186. C2×(C2×D83)⋊C8C22semidirect
187. C22⋊C8×D83C22semidirect
188. #554×C83C22semidirect
190. #489×C83C22semidirect
191. #484×C83C22semidirect
192. #480×C83C22semidirect
193. #474×C83C22semidirect
194. #468×C83C22semidirect
195. #467×C83C22semidirect
196. #464×C83C22semidirect
197. #452×C83C22semidirect
198. #450×C83C22semidirect
199. #440×C83C22semidirect
200. #435×C83C22semidirect
201. #417×C83C22semidirect
202. C2×#102×C83C22semidirect
209. C2×#13050591C23semidirect
213. C2×#13050590C23semidirect
241. C2×#13050580C23semidirect
244. C2×#13050579C23semidirect
249. C2×#13050577C23semidirect
250. C2×#13050577C23semidirect
251. C2×#13050577C23semidirect
259. C2×D664C23semidirect
260. C2×D664C23semidirect
266. C2×#13050573C23semidirect
268. C22×C83⋊C8C23semidirect
271. C2×C8×D83C23semidirect
272. #14581791C23semidirect
281. #14581781C23semidirect
284. #14581780C23semidirect
304. #14581772C23semidirect
334. #14581767C23semidirect
340. #14581766C23semidirect
374. #14581757C23semidirect
378. C4×D332C23semidirect
383. #14581754C23semidirect
394. C4⋊C4×D83C23semidirect
404. #14581725C23semidirect
405. #14581724C23semidirect
406. #14581723C23semidirect
407. #14581723C23semidirect
408. #14581723C23semidirect
409. C4⋊(C83⋊C8)C23semidirect
410. Dic83⋊C8C23semidirect
411. Dic83⋊C8C23semidirect
412. #14581717C23semidirect
413. #14581716C23semidirect
414. #14581716C23semidirect
415. #14581715C23semidirect
418. #14581714C23semidirect
419. #14581714C23semidirect
420. #14581714C23semidirect
429. #14581712C23semidirect
430. #14581712C23semidirect
431. #14581712C23semidirect
432. #14581712C23semidirect
433. #14581712C23semidirect
435. C22⋊(C83⋊C8)C23semidirect
442. (C2×D83)⋊C8C23semidirect
443. (C2×D83)⋊C8C23semidirect
444. #14581702C23semidirect
445. C4×C83⋊C8C23semidirect
446. C8×Dic83C23semidirect
449. C2×Q16×C83C23semidirect
452. C2×M16×C83C23semidirect
454. C4⋊Q8×C83C23semidirect
462. C22⋊Q8×C83C23semidirect
466. C4×Q8×C83C23semidirect
471. C2×C4⋊C4×C83C23semidirect
473. #107×C83C23semidirect
474. #107×C83C23semidirect
475. #107×C83C23semidirect
476. C4⋊C8×C83C23semidirect
477. #103×C83C23semidirect
478. #103×C83C23semidirect
479. #103×C83C23semidirect
480. #103×C83C23semidirect
488. C22⋊C8×C83C23semidirect
489. #97×C83C23semidirect
990. #3314D83semidirect
1018. C83#61629semidirect
1032. #554C2×D83semidirect
1077. #489C2×D83semidirect
1082. #484C2×D83semidirect
1091. #480C2×D83semidirect
1095. #474C2×D83semidirect
1099. #468C2×D83semidirect
1101. #467C2×D83semidirect
1113. #464C2×D83semidirect
1127. #452C2×D83semidirect
1139. #450C2×D83semidirect
1163. #440C2×D83semidirect
1171. #435C2×D83semidirect
1179. #417C2×D83semidirect
1185. C2×#102C2×D83semidirect
1231. C2×Q16C22×D83semidirect
1259. C2×M16C22×D83semidirect
1267. C4⋊Q8C22×D83semidirect
1322. C22⋊Q8C22×D83semidirect
1381. C4×Q8C22×D83semidirect
1406. C2×C4⋊C4C22×D83semidirect
1418. #107C22×D83semidirect
1419. #107C22×D83semidirect
1420. #107C22×D83semidirect
1428. C4⋊C8C22×D83semidirect
1433. #103C22×D83semidirect
1434. #103C22×D83semidirect
1435. #103C22×D83semidirect
1436. #103C22×D83semidirect
1472. C22⋊C8C22×D83semidirect
1474. #97C22×D83semidirect

Maximal subgroups

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

subgroupindex
#249216912
#249210932
#249195422
#249194252
#249194232
#249192832
#249192812
#249192742
#249192732
#249191682
#249191652
#249191452
#249191442
#249189652
#249189602
#249189482
#249189472
#249185642
#249185582
#249183222
#249183162
#249182452
#249182332
#249176542
#249176512
#249167712
#249167692
#450×D832
C2×#191278362
#249165142
C83×#33142
#6162983