Finite Group Databasebeta

← #36289981

Subgroups — #36289981

Order 21248.

2226 conjugacy classes of subgroups.

The subgroup lattice has 1942 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24921742C211yesmaximal, characteristic, complemented
2#24921091C211yesmaximal, characteristic, complemented
3#24919697C211yesmaximal, characteristic, complemented
4#24919674C211yesmaximal, characteristic, complemented
5#24919610C211yesmaximal, characteristic, complemented
6#24919546C211yesmaximal, characteristic, complemented
7#24919504C211yesmaximal, characteristic, complemented
8#24919488C211yesmaximal, characteristic, complemented
9#24919317C211yesmaximal, characteristic, complemented
10#24919287C211yesmaximal, characteristic, complemented
11#24919171C211yesmaximal, characteristic, complemented
12#24919152C211yesmaximal, characteristic, complemented
13#24919100C211yesmaximal, characteristic, complemented
14#24919057C211yesmaximal, characteristic, complemented
15#24918981C211yesmaximal, characteristic, complemented
16#24918973C211yesmaximal, characteristic, complemented
17#24918957C211yesmaximal, characteristic, complemented
18#24918552C211yesmaximal, characteristic, complemented
19#24918534C211yesmaximal, characteristic, complemented
20#24918331C211yesmaximal, characteristic, complemented
21#24918312C211yesmaximal, characteristic, complemented
22#24918290C211yesmaximal, characteristic, complemented
23#24918250C211yesmaximal, characteristic, complemented
24#24917714C211yesmaximal, characteristic, complemented
25#24917644C211yesmaximal, characteristic, complemented
26#24916766C211yesmaximal, characteristic, complemented
27#24916735C211yesmaximal, characteristic, complemented
28#24916687C211yesmaximal, characteristic, complemented
29C2×#19127850C211yesmaximal, characteristic, complemented
30#24916512C211yesmaximal, characteristic, complemented
31C83×#3265C211yesmaximal, characteristic, complemented
32C2×#14581837C2211yescharacteristic
33C22×D4×D83C2211yescharacteristic
34C2×#14581821C2211yescharacteristic, complemented
35C2×#14581816C2211yescharacteristic, complemented
36C2×#14581816C2211yescharacteristic, complemented
37C2×#14581812C2211yescharacteristic, complemented
38C22×#13050577C2211yescharacteristic, complemented
39C2×SD16×D83C2211yescharacteristic, complemented
40#19128452—21no—
41#19128445—21no—
42#19128424C2211yescharacteristic, complemented
43#19128410—21no—
44#19128408C2211yescharacteristic, complemented
45#19128403C2211yescharacteristic, complemented
46#19128394—21no—
47#19128393C2211yescharacteristic, complemented
48Q8×C22⋊D83C2211yescharacteristic, complemented
49#19128359C2211yescharacteristic, complemented
50#19128350C2211yescharacteristic, complemented
51#19128348C2211yescharacteristic
52#19128347C2211yescharacteristic
53#19128346C2211yescharacteristic
54#19128345C2211yescharacteristic
55#19128340—21no—
56#19128338—21no—
57#19128336C2211yescharacteristic
58#19128335C2211yescharacteristic
59D4×C22⋊D83—21no—
60D4×C22⋊D83C2211yescharacteristic
61#19128333—21no—
62#19128320C2211yescharacteristic, complemented
63#19128315—21no—
64#19128309C2211yescharacteristic, complemented
65#19128300—21no—
66#19128288—21no—
67#19128284—21no—
68#19128279C2211yescharacteristic, complemented
69#19128274C2211yescharacteristic, complemented
70#19128267C2211yescharacteristic
71#19128264C2211yescharacteristic
72#19128261—21no—
73#19128259—21no—
74#19128211C2211yescharacteristic
75#19128211C2211yescharacteristic, complemented
76#19128210C2211yescharacteristic
77C2×#14581768C2211yescharacteristic, complemented
78C2×#14581760—21no—
79#120×D83—21no—
80#19128173C2211yescharacteristic
81#19128092C2211yescharacteristic, complemented
82#19128083C2211yescharacteristic, complemented
83#19128072C2211yescharacteristic, complemented
84#19128064C2211yescharacteristic, complemented
85#19128061C2211yescharacteristic, complemented
86#19128054C2211yescharacteristic, complemented
87#19128047C2211yescharacteristic, complemented
88#19128044C2211yescharacteristic, complemented
89#19128044C2211yescharacteristic, complemented
90#19128041C2211yescharacteristic, complemented
91#19128041C2211yescharacteristic, complemented
92#19128037C2211yescharacteristic, complemented
93#19128028C2211yescharacteristic, complemented
94#19128023C2211yescharacteristic, complemented
95#19128023C2211yescharacteristic, complemented
96#19128023C2211yescharacteristic, complemented
97#19128017C2211yescharacteristic, complemented
98#19128017C2211yescharacteristic, complemented
99#19128015C2211yescharacteristic, complemented
100#19128004C2211yescharacteristic, complemented
101#19127999C2211yescharacteristic, complemented
102#19127991C2211yescharacteristic, complemented
103#19127982C2211yescharacteristic, complemented
104#19127958C2211yescharacteristic, complemented
105#19127958C2211yescharacteristic, complemented
106#19127953C2211yescharacteristic, complemented
107#19127947C2211yescharacteristic, complemented
108#19127944C2211yescharacteristic, complemented
109#19127944C2211yescharacteristic, complemented
110#19127944C2211yescharacteristic, complemented
111#19127942C2211yescharacteristic, complemented
112#19127934C2211yescharacteristic, complemented
113#19127933C2211yescharacteristic, complemented
114#19127932C2211yescharacteristic, complemented
115#19127928C2211yescharacteristic, complemented
116#19127928C2211yescharacteristic, complemented
117#19127928C2211yescharacteristic, complemented
118#19127924C2211yescharacteristic, complemented
119#19127923C2211yescharacteristic, complemented
120#19127921C2211yescharacteristic, complemented
121#19127914C2211yescharacteristic, complemented
122#19127913C2211yescharacteristic, complemented
123#19127905C2211yescharacteristic, complemented
124#19127904C2211yescharacteristic, complemented
125#19127899C2211yescharacteristic, complemented
126#19127898C2211yescharacteristic, complemented
127#19127894C2211yescharacteristic, complemented
128#19127865C2211yescharacteristic, complemented
129#19127864C2211yescharacteristic, complemented
130#19127864C2211yescharacteristic, complemented
131#19127861C2211yescharacteristic, complemented
132#19127860C2211yescharacteristic, complemented
133#19127860C2211yescharacteristic, complemented
134#19127860C2211yescharacteristic, complemented
135#19127857C2211yescharacteristic, complemented
136#19127854C2211yescharacteristic, complemented
137#19127853C2211yescharacteristic
138#19127853C2211yescharacteristic, complemented
139#19127852C2211yescharacteristic, complemented
140#19127852C2211yescharacteristic, complemented
141#19127850C2211yescharacteristic
142#19127850C2211yescharacteristic
143#19127850C2211yescharacteristic, complemented
144#19127850C2211yescharacteristic, complemented
145#19127850C2211yescharacteristic, complemented
146#19127850C2211yescharacteristic, complemented
147#19127850C2211yescharacteristic, complemented
148#19127850C2211yescharacteristic, complemented
149#19127850C2211yescharacteristic, complemented
150#19127846C2211yescharacteristic, complemented
151#19127843C2211yescharacteristic, complemented
152#19127843C2211yescharacteristic, complemented
153#19127843C2211yescharacteristic, complemented
154#19127841C2211yescharacteristic, complemented
155#19127838C2211yescharacteristic, complemented
156#19127834C2211yescharacteristic, complemented
157#19127833C2211yescharacteristic
158#19127833C2211yescharacteristic, complemented
159#19127833C2211yescharacteristic, complemented
160#19127810C2211yescharacteristic, complemented
161#19127803C2211yescharacteristic, complemented
162#19127802C2211yescharacteristic, complemented
163C4×#13050577C2211yescharacteristic, complemented
164C4×#13050578C2211yescharacteristic, complemented
165#19127786C2211yescharacteristic, complemented
166D8×Dic83C2211yescharacteristic, 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#19127704C2211yescharacteristic, complemented
177#19127704C2211yescharacteristic, complemented
178#19127704C2211yescharacteristic, complemented
179#19127703C2211yescharacteristic, complemented
180#19127694C2211yescharacteristic, complemented
181C2×#14581714C2211yescharacteristic, complemented
182C2×#14581713C2211yescharacteristic, complemented
183C2×#14581713C2211yescharacteristic, complemented
184#19127669C2211yescharacteristic, complemented
185#19127666C2211yescharacteristic, complemented
186#19127663C2211yescharacteristic, complemented
187C2×(C2×D83)⋊C8C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C83C2211yescharacteristic, complemented
189C22×SD16×C83C2211yescharacteristic, complemented
190#548×C83C2211yescharacteristic, complemented
191D42×C83C2211yescharacteristic
192#496×C83C2211yescharacteristic, complemented
193#468×C83C2211yescharacteristic, complemented
194#466×C83C2211yescharacteristic, complemented
195#463×C83C2211yescharacteristic, complemented
196#460×C83C2211yescharacteristic, complemented
197#450×C83C2211yescharacteristic, complemented
198#449×C83C2211yescharacteristic, complemented
199#448×C83C2211yescharacteristic, complemented
200#447×C83C2211yescharacteristic, complemented
201#440×C83C2211yescharacteristic, complemented
202#435×C83C2211yescharacteristic, complemented
203C24×D83—21no—
204#14581837—42no—
205#14581837—42no—
206C2×#13050590C2311yescharacteristic
207C2×#13050590C2311yescharacteristic
208C2×#13050589—21no—
209C2×#13050589C2311yescharacteristic
210C2×#13050589C2311yescharacteristic
211C2×#13050589C2311yescharacteristic
212C2×Q8×D83C2311yescharacteristic, complemented
213C22×D332C2311yescharacteristic
214C22×C22⋊D83—21no—
215C22×C22⋊D83—21no—
216C22×C22⋊D83—21no—
217C22×C22⋊D83—21no—
218C2×D4×D83—21no—
219C2×D4×D83—21no—
220C2×D4×D83—21no—
221C2×D4×D83—21no—
222C2×D4×D83—21no—
223C2×D4×D83—42no—
224C2×D4×D83—42no—
225C2×D4×D83C2311yescharacteristic
226C2×D4×D83C2311yescharacteristic
227C2×D4×D83C2311yescharacteristic
228C2×D4×D83C2311yescharacteristic
229C2×D4×D83C2311yescharacteristic
230C22×C4×D83C2311yescharacteristic
231#14581821—42no—
232#14581816—42no—
233#14581816—42no—
234#14581812—42no—
235C2×Dic332C2311yescharacteristic, complemented
236C2×#13050580C2311yescharacteristic, complemented
237C2×#13050580C2311yescharacteristic, complemented
238C2×#13050579C2311yescharacteristic
239C2×#13050579C2311yescharacteristic
240C2×#13050578C2311yescharacteristic
241C2×#13050578C2311yescharacteristic
242C2×#13050578C2311yescharacteristic, complemented
243C2×#13050578C2311yescharacteristic, complemented
244C2×#13050577—42no—
245C2×#13050577C2311yescharacteristic
246C2×#13050577C2311yescharacteristic
247C2×#13050577C2311yescharacteristic
248C2×#13050577C2311yescharacteristic
249SD16×D83—42no—
250C2×#13050575C2311yescharacteristic
251C2×#13050575C2311yescharacteristic
252C2×#13050573C2311yescharacteristic
253C2×#13050573C2311yescharacteristic
254C2×#13050573C2311yescharacteristic, complemented
255C22×C83⋊C8C2311yescharacteristic
256C22×C83⋊C8C2311yescharacteristic, complemented
257C2×C8×D83C2311yescharacteristic, complemented
258#14581792C2311yescharacteristic, complemented
259#14581791—21no—
260#14581790—21no—
261#14581790C2311yescharacteristic, complemented
262#14581788—21no—
263#14581788C2311yescharacteristic
264#14581787—21no—
265#14581787—21no—
266#14581787—21no—
267#14581787—21no—
268#14581786—21no—
269#14581785—21no—
270#14581785—21no—
271#14581784—21no—
272#14581783—21no—
273#14581783—21no—
274#14581783C2311yescharacteristic, complemented
275#14581782—21no—
276#14581780—21no—
277#14581780C2311yescharacteristic
278#14581779C2311yescharacteristic
279#14581778—21no—
280#14581778—21no—
281#14581778—21no—
282#14581778—21no—
283#14581777—21no—
284#14581777—21no—
285#14581777D411yescharacteristic
286#14581776—21no—
287#14581776—21no—
288#14581776—21no—
289#14581776—21no—
290#14581775—21no—
291#14581774—21no—
292#14581774—21no—
293#14581774—21no—
294#14581774—21no—
295#14581774D411yescharacteristic
296#14581773—21no—
297#14581773—21no—
298#14581772C2311yescharacteristic
299#14581772C2311yescharacteristic
300#14581771—21no—
301#14581771—21no—
302#14581771C2311yescharacteristic
303#14581771C2311yescharacteristic
304#14581771C2311yescharacteristic, complemented
305#14581770D411yescharacteristic
306#14581769—21no—
307#14581769—21no—
308#14581769—21no—
309#14581769—21no—
310#14581769D411yescharacteristic
311#14581768—21no—
312#14581768—21no—
313#14581768—21no—
314#14581768C2311yescharacteristic
315#14581768C2311yescharacteristic
316#14581768C2311yescharacteristic
317#14581768C2311yescharacteristic
318#14581768C2311yescharacteristic, complemented
319#14581767C2311yescharacteristic
320#14581766—21no—
321#14581766—21no—
322#14581766C2311yescharacteristic
323#14581765—21no—
324#14581765—21no—
325#14581765—21no—
326#14581765D411yescharacteristic
327#14581764—21no—
328#14581764—21no—
329#14581764—21no—
330#14581764—21no—
331#14581764—21no—
332#14581764—21no—
333#14581764—21no—
334#14581764—21no—
335#14581764D411yescharacteristic
336#14581763—21no—
337#14581763—21no—
338#14581763C2311yescharacteristic
339#14581763C2311yescharacteristic
340#14581763C2311yescharacteristic
341#14581763C2311yescharacteristic, complemented
342#14581762—21no—
343#14581762—21no—
344#14581762—21no—
345#14581762D411yescharacteristic
346#14581761—21no—
347#14581761—21no—
348#14581760—21no—
349#14581760—21no—
350#14581760—21no—
351#14581760—21no—
352#14581760—21no—
353#14581760—21no—
354#14581760—21no—
355#14581760—21no—
356#14581760—21no—
357#14581760—21no—
358#14581760—21no—
359#14581760D411yescharacteristic
360Q8×Dic83C2311yescharacteristic, complemented
361C4×Dic166—21no—
362C4×Dic166C2311yescharacteristic, complemented
363C4×D332C2311yescharacteristic
364C4×D332C2311yescharacteristic
365D4×Dic83—21no—
366D4×Dic83—21no—
367D4×Dic83—21no—
368D4×Dic83—21no—
369D4×Dic83C2311yescharacteristic
370D4×Dic83C2311yescharacteristic, complemented
371#14581754C2311yescharacteristic
372C4×C22⋊D83—21no—
373C4×C22⋊D83—21no—
374C4×C22⋊D83C2311yescharacteristic
375C4×C22⋊D83C2311yescharacteristic
376(C22⋊D83)⋊C4—21no—
377(C22⋊D83)⋊C4—21no—
378(C22⋊D83)⋊C4—21no—
379(C22⋊D83)⋊C4—21no—
380#14581750C2311yescharacteristic
381#14581750C2311yescharacteristic
382#14581750C2311yescharacteristic, complemented
383#14581749C2311yescharacteristic
384#14581748—21no—
385C2×C4⋊Dic83C2311yescharacteristic
386C2×C4⋊Dic83C2311yescharacteristic, complemented
387C2×Dic83⋊C4—21no—
388C2×Dic83⋊C4—21no—
389C2×C22⋊Dic83—21no—
390C2×(C2×D83)⋊C4—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#14581726C2311yescharacteristic, complemented
399#14581723C2311yescharacteristic, complemented
400#14581723C2311yescharacteristic, complemented
401#14581723C2311yescharacteristic, complemented
402#14581723C2311yescharacteristic, complemented
403C4⋊(C83⋊C8)C2311yescharacteristic, complemented
404Dic83⋊C8C2311yescharacteristic, complemented
405Dic83⋊C8C2311yescharacteristic, complemented
406#14581717C2311yescharacteristic, complemented
407#14581717C2311yescharacteristic, complemented
408#14581717C2311yescharacteristic, complemented
409#14581717C2311yescharacteristic, complemented
410#14581716C2311yescharacteristic, complemented
411#14581716C2311yescharacteristic, complemented
412#14581715C2311yescharacteristic, complemented
413#14581715C2311yescharacteristic, complemented
414#14581714C2311yescharacteristic
415#14581714C2311yescharacteristic
416#14581714C2311yescharacteristic
417#14581714C2311yescharacteristic
418#14581714C2311yescharacteristic
419#14581714C2311yescharacteristic
420#14581713C2311yescharacteristic
421#14581713C2311yescharacteristic
422#14581713C2311yescharacteristic
423#14581713C2311yescharacteristic
424#14581713C2311yescharacteristic
425#14581713C2311yescharacteristic
426#14581713C2311yescharacteristic, complemented
427#14581713C2311yescharacteristic, complemented
428#14581713C2311yescharacteristic, complemented
429#14581713C2311yescharacteristic, complemented
430#14581712C2311yescharacteristic
431#14581712C2311yescharacteristic
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, complemented
446C22×Q8×C83C2311yescharacteristic
447C22×D4×C83—21no—
448C22×D4×C83C2311yescharacteristic
449C22×D4×C83C2311yescharacteristic
450AGL(1,ℤ/8)×C83—42no—
451C2×SD16×C83—42no—
452C2×SD16×C83C2311yescharacteristic
453C2×SD16×C83C2311yescharacteristic
454C2×SD16×C83C2311yescharacteristic
455C2×SD16×C83C2311yescharacteristic
456C2×SD16×C83C2311yescharacteristic, complemented
457C2×SD16×C83C2311yescharacteristic, complemented
458C2×D8×C83C2311yescharacteristic
459C2×D8×C83C2311yescharacteristic
460C2×D8×C83C2311yescharacteristic, complemented
461C2×M16×C83C2311yescharacteristic, complemented
462C22×C8×C83C2311yescharacteristic
463#127×C83C2311yescharacteristic
464#124×C83—21no—
465#124×C83C2311yescharacteristic, complemented
466C22⋊Q8×C83—21no—
467C22⋊Q8×C83C2311yescharacteristic, complemented
468#121×C83—21no—
469#121×C83—21no—
470#121×C83C2311yescharacteristic
471#121×C83C2311yescharacteristic
472#121×C83C2311yescharacteristic
473#120×C83—21no—
474#120×C83—21no—
475C4×Q8×C83C2311yescharacteristic, complemented
476C4×D4×C83—21no—
477C4×D4×C83C2311yescharacteristic
478C4×D4×C83C2311yescharacteristic
479#107×C83C2311yescharacteristic, complemented
480C4⋊C8×C83C2311yescharacteristic, complemented
481#103×C83C2311yescharacteristic, complemented
482#103×C83C2311yescharacteristic, complemented
483#102×C83C2311yescharacteristic
484#102×C83C2311yescharacteristic
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—44no—
497C23×D83—82no—
498C23×D83—82no—
499C23×D83C2×D411yescharacteristic
500#13050590—22no—
501#13050590—41no—
502#13050590—41no—
503#13050590—41no—
504#13050589—22no—
505#13050589—41no—
506#13050589—41no—
507#13050589—41no—
508#13050589—41no—
509#13050589—41no—
510#13050589—44no—
511C2×Dic166—21no—
512C2×Dic166—21no—
513C2×Dic166C2×D411yescharacteristic
514C2×Dic166C2411yescharacteristic
515C2×Dic166C2411yescharacteristic
516Q8×D83—41no—
517Q8×D83—41no—
518C2×D332—22no—
519C2×D332—21no—
520C2×D332—21no—
521C2×D332—41no—
522C2×D332C2×D411yescharacteristic
523C2×D332C2×D411yescharacteristic
524C2×D332C2411yescharacteristic
525C2×D332C2411yescharacteristic
526C2×C22⋊D83—21no—
527C2×C22⋊D83—21no—
528C2×C22⋊D83—21no—
529C2×C22⋊D83—21no—
530C2×C22⋊D83—21no—
531C2×C22⋊D83—21no—
532C2×C22⋊D83—21no—
533C2×C22⋊D83—21no—
534C2×C22⋊D83—21no—
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—44no—
543C2×C22⋊D83—44no—
544C2×C22⋊D83—44no—
545C2×C22⋊D83—82no—
546C2×C22⋊D83C2×D411yescharacteristic
547C2×C22⋊D83C2×D411yescharacteristic
548C2×C22⋊D83C2×D411yescharacteristic
549C2×C22⋊D83C2×D411yescharacteristic
550D4×D83—22no—
551D4×D83—22no—
552D4×D83—22no—
553D4×D83—22no—
554D4×D83—22no—
555D4×D83—41no—
556D4×D83—41no—
557D4×D83—41no—
558D4×D83—41no—
559D4×D83—41no—
560D4×D83—44no—
561D4×D83—44no—
562D4×D83—44no—
563D4×D83—82no—
564D4×D83—82no—
565C22×Dic83—21no—
566C22×Dic83—21no—
567C22×Dic83—21no—
568C22×Dic83—21no—
569C22×Dic83—21no—
570C22×Dic83—21no—
571C22×Dic83—21no—
572C22×Dic83C2×D411yescharacteristic
573C2×C4×D83—21no—
574C2×C4×D83—21no—
575C2×C4×D83—21no—
576C2×C4×D83—21no—
577C2×C4×D83—41no—
578C2×C4×D83—41no—
579C2×C4×D83C2×D411yescharacteristic
580C2×C4×D83C2×D411yescharacteristic
581C2×C4×D83C2411yescharacteristic
582C2×C4×D83C2411yescharacteristic
583C2×C4×D83C2411yescharacteristic
584Dic332—41no—
585#13050580—41no—
586#13050580—41no—
587#13050579—22no—
588#13050579—41no—
589#13050578—22no—
590#13050578—41no—
591#13050578—41no—
592#13050578—41no—
593#13050577—22no—
594#13050577—22no—
595#13050577—41no—
596#13050577—41no—
597#13050575—22no—
598#13050575—41no—
599#13050573—41no—
600#13050573—41no—
601#13050573—41no—
602C2×C83⋊C8—41no—
603C2×C83⋊C8—41no—
604C2×C83⋊C8C2411yescharacteristic
605C2×C83⋊C8C2411yescharacteristic
606C2×C83⋊C8C2411yescharacteristic
607C2×C83⋊C8C2411yescharacteristic
608C8×D83—41no—
609C4⋊Dic83—21no—
610C4⋊Dic83—21no—
611C4⋊Dic83—21no—
612C4⋊Dic83—21no—
613C4⋊Dic83—21no—
614C4⋊Dic83—21no—
615C4⋊Dic83—21no—
616C4⋊Dic83C2×D411yescharacteristic
617C4⋊Dic83C2411yescharacteristic
618C4⋊Dic83C2411yescharacteristic
619C4⋊Dic83C2411yescharacteristic
620C4⋊Dic83C2411yescharacteristic
621Dic83⋊C4—21no—
622Dic83⋊C4—21no—
623Dic83⋊C4—21no—
624Dic83⋊C4—21no—
625Dic83⋊C4—21no—
626Dic83⋊C4—21no—
627Dic83⋊C4—21no—
628Dic83⋊C4—21no—
629Dic83⋊C4—21no—
630Dic83⋊C4—21no—
631Dic83⋊C4—21no—
632Dic83⋊C4—21no—
633Dic83⋊C4C2×D411yescharacteristic
634Dic83⋊C4C2×D411yescharacteristic
635Dic83⋊C4C2×D411yescharacteristic
636Dic83⋊C4C2×D411yescharacteristic
637C22⋊Dic83—21no—
638C22⋊Dic83—21no—
639C22⋊Dic83—21no—
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⋊Dic83C2×D411yescharacteristic
649C22⋊Dic83C2×D411yescharacteristic
650(C2×D83)⋊C4—21no—
651(C2×D83)⋊C4—21no—
652(C2×D83)⋊C4—21no—
653(C2×D83)⋊C4—21no—
654(C2×D83)⋊C4—21no—
655(C2×D83)⋊C4—21no—
656(C2×D83)⋊C4—21no—
657(C2×D83)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
667(C2×D83)⋊C4C2×D411yescharacteristic
668(C2×D83)⋊C4C2×D411yescharacteristic
669(C2×D83)⋊C4C2×D411yescharacteristic
670(C2×D83)⋊C4C2×D411yescharacteristic
671(C2×D83)⋊C4C2×D411yescharacteristic
672C4×Dic83—21no—
673C4×Dic83—21no—
674C4×Dic83—21no—
675C4×Dic83—21no—
676C4×Dic83—21no—
677C4×Dic83C2411yescharacteristic
678C24×C83—21no—
679C24×C83—21no—
680#41×C83—41no—
681#41×C83—41no—
682C2×Q8×C83—21no—
683C2×Q8×C83—41no—
684C2×Q8×C83—41no—
685C2×Q8×C83C2411yescharacteristic
686C2×Q8×C83C2411yescharacteristic
687C2×D4×C83—22no—
688C2×D4×C83—22no—
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—82no—
700C2×D4×C83C2×D411yescharacteristic
701C2×D4×C83C2411yescharacteristic
702C2×D4×C83C2411yescharacteristic
703C2×D4×C83C2411yescharacteristic
704C2×D4×C83C2411yescharacteristic
705C22×C4×C83—21no—
706C22×C4×C83—21no—
707C22×C4×C83—21no—
708C22×C4×C83C2411yescharacteristic
709C22×C4×C83C2411yescharacteristic
710SD16×C83—22no—
711SD16×C83—22no—
712SD16×C83—41no—
713SD16×C83—41no—
714SD16×C83—41no—
715SD16×C83—41no—
716D8×C83—22no—
717D8×C83—41no—
718D8×C83—41no—
719M16×C83—41no—
720C2×C8×C83—41no—
721C2×C8×C83C2411yescharacteristic
722C2×C8×C83C2411yescharacteristic
723C2×C8×C83C2411yescharacteristic
724C2×C8×C83C2411yescharacteristic
725C4⋊C4×C83—21no—
726C4⋊C4×C83—21no—
727C4⋊C4×C83C2×D411yescharacteristic
728C4⋊C4×C83C2411yescharacteristic
729C4⋊C4×C83C2411yescharacteristic
730C22⋊C4×C83—21no—
731C22⋊C4×C83—21no—
732C22⋊C4×C83—21no—
733C22⋊C4×C83—21no—
734C22⋊C4×C83—21no—
735C22⋊C4×C83—21no—
736C22⋊C4×C83—21no—
737C22⋊C4×C83C2×D411yescharacteristic
738C22⋊C4×C83C2×D411yescharacteristic
739C42×C83—21no—
740C42×C83C2411yescharacteristic
741C23×C83—21no—
742C23×C83—21no—
743C23×C83—21no—
744C23×C83—21no—
745C23×C83—42no—
746C23×C83—42no—
747C23×C83—42no—
748C23×C83—81no—
749C23×C83—81no—
750C23×C83—81no—
751C23×C83C22×D411yescharacteristic
752C23×C83C22×D411yescharacteristic
753C22×D83—22no—
754C22×D83—21no—
755C22×D83—24no—
756C22×D83—21no—
757C22×D83—41no—
758C22×D83—41no—
759C22×D83—42no—
760C22×D83—42no—
761C22×D83—42no—
762C22×D83—42no—
763C22×D83—42no—
764C22×D83—42no—
765C22×D83—42no—
766C22×D83—42no—
767C22×D83—81no—
768C22×D83—81no—
769C22×D83—81no—
770C22×D83—81no—
771C22×D83—81no—
772C22×D83—81no—
773C22×D83—81no—
774C22×D83—81no—
775C22×D83—81no—
776C22×D83—816no—
777C22×D83C22×D411yescharacteristic
778C22×D83C22×D411yescharacteristic
779C22×D83C22×D411yescharacteristic
780Q8×C83—21no—
781Q8×C83—21no—
782Q8×C83—21no—
783Q8×C83—21no—
784Q8×C83—81no—
785D4×C83—22no—
786D4×C83—21no—
787D4×C83—21no—
788D4×C83—21no—
789D4×C83—21no—
790D4×C83—21no—
791D4×C83—21no—
792D4×C83—21no—
793D4×C83—42no—
794D4×C83—42no—
795D4×C83—42no—
796D4×C83—42no—
797D4×C83—81no—
798D4×C83—81no—
799D4×C83—81no—
800D4×C83—81no—
801D4×C83H(5,𝔽2)12yes—
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—81no—
811C2×C4×C83—81no—
812C2×C4×C83—81no—
813C2×C4×C83C22×D411yescharacteristic
814C2×C4×C83C22×D411yescharacteristic
815C2×C4×C83C22×D411yescharacteristic
816C2×C4×C83C22×D411yescharacteristic
817C2×C4×C83C2511yescharacteristic
818C22⋊D83—24no—
819C22⋊D83—22no—
820C22⋊D83—41no—
821C22⋊D83—41no—
822C22⋊D83—41no—
823C22⋊D83—42no—
824C22⋊D83—42no—
825C22⋊D83—42no—
826C22⋊D83—42no—
827C22⋊D83—42no—
828C22⋊D83—42no—
829C22⋊D83—42no—
830C22⋊D83—42no—
831C22⋊D83—81no—
832C22⋊D83—81no—
833C22⋊D83—81no—
834C22⋊D83—81no—
835C22⋊D83—81no—
836C22⋊D83—81no—
837C22⋊D83—81no—
838C2×Dic83—21no—
839C2×Dic83—21no—
840C2×Dic83—21no—
841C2×Dic83—21no—
842C2×Dic83—21no—
843C2×Dic83—21no—
844C2×Dic83—41no—
845C2×Dic83—42no—
846C2×Dic83—42no—
847C2×Dic83—81no—
848C2×Dic83—81no—
849C2×Dic83—81no—
850C2×Dic83—81no—
851C2×Dic83—81no—
852C2×Dic83C22×D411yescharacteristic
853C2×Dic83C22×D411yescharacteristic
854C2×Dic83C22×D411yescharacteristic
855C2×Dic83C22×D411yescharacteristic
856C2×Dic83C22×D411yescharacteristic
857D332—21no—
858D332—21no—
859D332—21no—
860D332—41no—
861D332—41no—
862D332—42no—
863D332—81no—
864D332H(5,𝔽2)12yes—
865C4×D83—21no—
866C4×D83—21no—
867C4×D83—21no—
868C4×D83—21no—
869C4×D83—21no—
870C4×D83—21no—
871C4×D83—41no—
872C4×D83—41no—
873C4×D83—42no—
874C4×D83—81no—
875C4×D83—81no—
876C4×D83—81no—
877Dic166—21no—
878Dic166—21no—
879Dic166—21no—
880Dic166—21no—
881Dic166—41no—
882Dic166—81no—
883Dic166—81no—
884C8×C83—21no—
885C8×C83—21no—
886C8×C83—21no—
887C8×C83—21no—
888C83⋊C8—21no—
889C83⋊C8—21no—
890C83⋊C8—21no—
891C83⋊C8—21no—
892C22×C83—21no—
893C22×C83—21no—
894C22×C83—21no—
895C22×C83—22no—
896C22×C83—21no—
897C22×C83—21no—
898C22×C83—41no—
899C22×C83—41no—
900C22×C83—41no—
901C22×C83—41no—
902C22×C83—41no—
903C22×C83—41no—
904C22×C83—41no—
905C22×C83—41no—
906C22×C83—41no—
907C22×C83—41no—
908C22×C83—41no—
909C22×C83—84no—
910C22×C83—162no—
911C22×C83#57712yes—
912C22×C83C23×D411yescharacteristic
913C2×D83—21no—
914C2×D83—21no—
915C2×D83—21no—
916C2×D83—21no—
917C2×D83—21no—
918C2×D83—21no—
919C2×D83—22no—
920C2×D83—21no—
921C2×D83—21no—
922C2×D83—21no—
923C2×D83—44no—
924C2×D83—41no—
925C2×D83—41no—
926C2×D83—41no—
927C2×D83—41no—
928C2×D83—41no—
929C2×D83—84no—
930C2×D83—84no—
931C2×D83—84no—
932C2×D83—84no—
933C2×D83—84no—
934C2×D83—162no—
935C4×C83—21no—
936C4×C83—21no—
937C4×C83—21no—
938C4×C83—21no—
939C4×C83—41no—
940C4×C83—41no—
941C4×C83—41no—
942C4×C83—41no—
943C4×C83C2×H(5,𝔽2)11yescharacteristic
944C4×C83C2×H(5,𝔽2)11yescharacteristic
945Dic83—21no—
946Dic83—21no—
947Dic83—21no—
948Dic83—21no—
949Dic83—21no—
950Dic83—41no—
951Dic83—41no—
952Dic83—41no—
953Dic83—41no—
954Dic83—41no—
955Dic83—41no—
956#61610—831nomaximal, Sylow
957C2×C83—22no—
958C2×C83—42no—
959C2×C83—41no—
960C2×C83—81no—
961C2×C83—81no—
962C2×C83—81no—
963C2×C83#348411yescharacteristic
964C2×C83C2×#57711yescharacteristic
965C2×C83#358511yescharacteristic
966D83—41no—
967D83—41no—
968D83—41no—
969D83—42no—
970D83—81no—
971#3541—831no—
972#3484—831no—
973#3324—831no—
974#3323—831no—
975#3318—831no—
976#3314—831no—
977#3311—831no—
978#3310—831no—
979#3297—831no—
980#3295—831no—
981#3282—831no—
982D4×SD16—831no—
983#3275—831no—
984#3272—831no—
985#3267—831no—
986#3266—831no—
987#3265—831no—
988#3265D8311yescharacteristic, complemented
989#3224—831no—
990#3222—831no—
991#3200—831no—
992#3198—831no—
993#3196—831no—
994#3191—831no—
995#3123—831no—
996#3118—831no—
997#3012—831no—
998#3009—831no—
999#3003—831no—
1000C2×#450—831no—
1001#2976—831no—
1002C83#6161011yescharacteristic, complemented, Sylow
1003C2×H(5,𝔽2)—831no—
1004C23×D4—831no—
1005C2×#137—831no—
1006C2×AGL(1,ℤ/8)—831no—
1007C2×AGL(1,ℤ/8)—831no—
1008C2×AGL(1,ℤ/8)C2×D8311yescharacteristic, complemented
1009C2×#135—831no—
1010C22×SD16—831no—
1011C22×SD16—831no—
1012C22×SD16C2×D8311yescharacteristic, complemented
1013#563—1661no—
1014#562—1661no—
1015#556—831no—
1016#554—831no—
1017#554—1661no—
1018#553—831no—
1019#553—1661no—
1020#552—831no—
1021D4×Q8—831no—
1022#548—831no—
1023#548C2×D8311yescharacteristic, complemented
1024#547—831no—
1025#546—831no—
1026#546—831no—
1027#546—831no—
1028#546—831no—
1029#546—1661no—
1030#546—1661no—
1031D42—831no—
1032D42—831no—
1033D42—831no—
1034D42—1661no—
1035D42—1661no—
1036D42C2×D8311yescharacteristic
1037#542—831no—
1038#542—1661no—
1039#541—831no—
1040#539—1661no—
1041#538—1661no—
1042#538—1661no—
1043#537—831no—
1044#536—831no—
1045#535—831no—
1046#535—831no—
1047#534—1661no—
1048#534—1661no—
1049#525—831no—
1050#525—831no—
1051#525—831no—
1052C2×C22⋊Q8—831no—
1053C2×#120—1661no—
1054C2×#120—1661no—
1055#518—831no—
1056#497—831no—
1057#496C2×D8311yescharacteristic, complemented
1058#495—831no—
1059#492—831no—
1060#490—831no—
1061#489—831no—
1062#488—831no—
1063#486—831no—
1064#485—831no—
1065#485—831no—
1066#485—831no—
1067#485—831no—
1068#484—831no—
1069#482—831no—
1070#482—831no—
1071#482—831no—
1072#482—831no—
1073#481—831no—
1074#481—831no—
1075#480—831no—
1076#478—831no—
1077#478—831no—
1078#476—831no—
1079#474—831no—
1080#470—831no—
1081#470—831no—
1082#469—831no—
1083#468—831no—
1084#468—831no—
1085#468—831no—
1086#468—831no—
1087#468C2×D8311yescharacteristic, complemented
1088#467—831no—
1089#466—831no—
1090#466C2×D8311yescharacteristic, complemented
1091#465—831no—
1092#465—831no—
1093#465—831no—
1094#465—831no—
1095#465—831no—
1096#464—831no—
1097#464—831no—
1098#464—831no—
1099#463—831no—
1100#463—831no—
1101#463C2×D8311yescharacteristic, complemented
1102#461—831no—
1103#461—831no—
1104#460—831no—
1105#460—831no—
1106#460C2×D8311yescharacteristic, complemented
1107#459—831no—
1108#452—831no—
1109#452—831no—
1110#452—831no—
1111#452—831no—
1112#452—831no—
1113#452—831no—
1114#452—831no—
1115#451—831no—
1116#450—831no—
1117#450—831no—
1118#450—831no—
1119#450—831no—
1120#450—831no—
1121#450—831no—
1122#450—831no—
1123#450—831no—
1124#450—831no—
1125#450—831no—
1126#450—831no—
1127#450—831no—
1128#450—831no—
1129#450—831no—
1130#450C2×D8311yescharacteristic, complemented
1131#449—831no—
1132#449—831no—
1133#449—831no—
1134#449—831no—
1135#449C2×D8311yescharacteristic, complemented
1136#448—831no—
1137#448—831no—
1138#448C2×D8311yescharacteristic, complemented
1139#447—831no—
1140#447—831no—
1141#447—831no—
1142#447—831no—
1143#447C2×D8311yescharacteristic, complemented
1144#442—831no—
1145#440—831no—
1146#440—831no—
1147#440C2×D8311yescharacteristic, complemented
1148C4×SD16—831no—
1149C4×SD16—831no—
1150C4×SD16—831no—
1151C4×D8—831no—
1152#436—831no—
1153#436—831no—
1154#435—831no—
1155#435—831no—
1156#435—831no—
1157#435C2×D8311yescharacteristic, complemented
1158C8×D4—831no—
1159C8×D4—831no—
1160#433—831no—
1161#433—831no—
1162#418—831no—
1163#418—831no—
1164#418—831no—
1165#417—831no—
1166#416—831no—
1167C2×#102—831no—
1168C2×#102—831no—
1169C2×#102—831no—
1170#408—831no—
1171#408—831no—
1172#407—831no—
1173C2×C22⋊C8—831no—
1174C25—1661no—
1175H(5,𝔽2)—3322no—
1176H(5,𝔽2)—3322no—
1177C2×#41—831no—
1178C2×#41—831no—
1179C2×#41—831no—
1180C2×#41—831no—
1181C2×#41—831no—
1182C2×#41—1661no—
1183C2×#41C22×D8311yescharacteristic, complemented
1184C22×Q8—831no—
1185C22×Q8C22×D8311yescharacteristic
1186C22×D4—21no—
1187C22×D4—3322no—
1188C22×D4—3322no—
1189C22×D4—831no—
1190C22×D4—831no—
1191C22×D4—831no—
1192C22×D4—831no—
1193C22×D4—831no—
1194C22×D4—831no—
1195C22×D4—1661no—
1196C22×D4—1661no—
1197C22×D4—1661no—
1198C22×D4—1661no—
1199C22×D4—1661no—
1200C22×D4—1661no—
1201C22×D4—1661no—
1202C22×D4—1661no—
1203C22×D4—1661no—
1204C22×D4C22×D8311yescharacteristic
1205C22×D4C22×D8311yescharacteristic
1206C23×C4—831no—
1207#137—3322no—
1208AGL(1,ℤ/8)—42no—
1209AGL(1,ℤ/8)—3322no—
1210AGL(1,ℤ/8)—3322no—
1211#135—3322no—
1212C2×Q16—831no—
1213C2×Q16—831no—
1214C2×Q16—831no—
1215C2×SD16—42no—
1216C2×SD16—3322no—
1217C2×SD16—3322no—
1218C2×SD16—831no—
1219C2×SD16—831no—
1220C2×SD16—831no—
1221C2×SD16—831no—
1222C2×SD16—831no—
1223C2×SD16—831no—
1224C2×SD16—831no—
1225C2×SD16—831no—
1226C2×SD16—831no—
1227C2×SD16—831no—
1228C2×SD16C22×D8311yescharacteristic
1229C2×SD16C22×D8311yescharacteristic
1230C2×SD16C22×D8311yescharacteristic
1231C2×SD16C22×D8311yescharacteristic
1232C2×SD16C22×D8311yescharacteristic, complemented
1233C2×SD16C22×D8311yescharacteristic, complemented
1234C2×D8—831no—
1235C2×D8—831no—
1236C2×D8C22×D8311yescharacteristic
1237C2×D8C22×D8311yescharacteristic
1238C2×D8C22×D8311yescharacteristic, complemented
1239C2×M16—831no—
1240C2×M16—831no—
1241C2×M16—831no—
1242C2×M16C22×D8311yescharacteristic, complemented
1243C22×C8—831no—
1244C22×C8—831no—
1245C22×C8—831no—
1246C22×C8C22×D8311yescharacteristic
1247C4⋊Q8—831no—
1248C4⋊Q8—831no—
1249C4⋊Q8—1661no—
1250C4⋊Q8—1661no—
1251#127—831no—
1252#127—1661no—
1253#127C22×D8311yescharacteristic
1254#126—1661no—
1255#126—1661no—
1256#126—1661no—
1257#126—1661no—
1258#126—1661no—
1259#126—1661no—
1260#126—1661no—
1261#125—831no—
1262#125—1661no—
1263#125—1661no—
1264#125—1661no—
1265#125—1661no—
1266#124—21no—
1267#124—831no—
1268#124—831no—
1269#124—1661no—
1270#124—1661no—
1271#124—1661no—
1272#124—1661no—
1273#124—1661no—
1274#124C22×D8311yescharacteristic, complemented
1275#123—831no—
1276#123—831no—
1277#123—1661no—
1278#123—1661no—
1279#123—1661no—
1280#123—1661no—
1281#123—1661no—
1282#123—1661no—
1283#123—1661no—
1284#123—1661no—
1285#123—1661no—
1286#123—1661no—
1287#123—1661no—
1288#123—1661no—
1289#123—1661no—
1290C22⋊Q8—21no—
1291C22⋊Q8—831no—
1292C22⋊Q8—831no—
1293C22⋊Q8—831no—
1294C22⋊Q8—831no—
1295C22⋊Q8—831no—
1296C22⋊Q8—831no—
1297C22⋊Q8—831no—
1298C22⋊Q8—831no—
1299C22⋊Q8—831no—
1300C22⋊Q8—831no—
1301C22⋊Q8—831no—
1302C22⋊Q8—831no—
1303C22⋊Q8—1661no—
1304C22⋊Q8—1661no—
1305C22⋊Q8—1661no—
1306C22⋊Q8—1661no—
1307C22⋊Q8—1661no—
1308C22⋊Q8—1661no—
1309C22⋊Q8—1661no—
1310C22⋊Q8—1661no—
1311C22⋊Q8—1661no—
1312C22⋊Q8C22×D8311yescharacteristic, complemented
1313#121—21no—
1314#121—21no—
1315#121—831no—
1316#121—831no—
1317#121—831no—
1318#121—831no—
1319#121—831no—
1320#121—831no—
1321#121—831no—
1322#121—831no—
1323#121—1661no—
1324#121—1661no—
1325#121—1661no—
1326#121—1661no—
1327#121—1661no—
1328#121—1661no—
1329#121—1661no—
1330#121—1661no—
1331#121—1661no—
1332#121—1661no—
1333#121—1661no—
1334#121—1661no—
1335#121—1661no—
1336#121—1661no—
1337#121—1661no—
1338#121C22×D8311yescharacteristic
1339#121C22×D8311yescharacteristic
1340#121C22×D8311yescharacteristic
1341#120—21no—
1342#120—21no—
1343#120—831no—
1344#120—831no—
1345#120—1661no—
1346#120—1661no—
1347#120—1661no—
1348#120—1661no—
1349#120—1661no—
1350#120—1661no—
1351#120—1661no—
1352#120—1661no—
1353#120—1661no—
1354#120—1661no—
1355#120—1661no—
1356#120—1661no—
1357#120—1661no—
1358#120—1661no—
1359#120—1661no—
1360#120—1661no—
1361C4×Q8—831no—
1362C4×Q8—831no—
1363C4×Q8—1661no—
1364C4×Q8C22×D8311yescharacteristic, complemented
1365C4×D4—21no—
1366C4×D4—831no—
1367C4×D4—831no—
1368C4×D4—831no—
1369C4×D4—831no—
1370C4×D4—831no—
1371C4×D4—831no—
1372C4×D4—831no—
1373C4×D4—1661no—
1374C4×D4—1661no—
1375C4×D4—1661no—
1376C4×D4—1661no—
1377C4×D4—1661no—
1378C4×D4—1661no—
1379C4×D4—1661no—
1380C4×D4—1661no—
1381C4×D4—1661no—
1382C4×D4—1661no—
1383C4×D4C22×D8311yescharacteristic
1384C4×D4C22×D8311yescharacteristic
1385#117—831no—
1386#117—831no—
1387#117—831no—
1388#117—831no—
1389#117—1661no—
1390C2×C4⋊C4—831no—
1391C2×C4⋊C4—831no—
1392C2×C4⋊C4—1661no—
1393C2×C4⋊C4—1661no—
1394C2×C22⋊C4—1661no—
1395C2×C22⋊C4—1661no—
1396C2×C22⋊C4—1661no—
1397C2×C22⋊C4—1661no—
1398C2×C22⋊C4—1661no—
1399C2×C22⋊C4—1661no—
1400C2×C22⋊C4—1661no—
1401#107—831no—
1402#107—831no—
1403#107—831no—
1404#107C22×D8311yescharacteristic, complemented
1405#106—831no—
1406#106—831no—
1407#106—831no—
1408#106—831no—
1409C4⋊C8—831no—
1410C4⋊C8—831no—
1411C4⋊C8—831no—
1412C4⋊C8C22×D8311yescharacteristic, complemented
1413#103—831no—
1414#103—831no—
1415#103—831no—
1416#103—831no—
1417#103—831no—
1418#103—831no—
1419#103—831no—
1420#103—831no—
1421#103C22×D8311yescharacteristic, complemented
1422#103C22×D8311yescharacteristic, complemented
1423#102—831no—
1424#102—831no—
1425#102—831no—
1426#102—831no—
1427#102—831no—
1428#102—831no—
1429#102—831no—
1430#102—831no—
1431#102—831no—
1432#102—831no—
1433#102—831no—
1434#102—831no—
1435#102—831no—
1436#102—831no—
1437#102—831no—
1438#102—831no—
1439#102—831no—
1440#102—831no—
1441#102C22×D8311yescharacteristic
1442#102C22×D8311yescharacteristic
1443#102C22×D8311yescharacteristic, complemented
1444#102C22×D8311yescharacteristic, complemented
1445C22⋊C8—831no—
1446C22⋊C8—831no—
1447C22⋊C8—831no—
1448C22⋊C8—831no—
1449C22⋊C8—831no—
1450C22⋊C8—831no—
1451C22⋊C8—831no—
1452C22⋊C8—831no—
1453C22⋊C8—831no—
1454C22⋊C8—831no—
1455C22⋊C8C22×D8311yescharacteristic
1456C22⋊C8C22×D8311yescharacteristic, complemented
1457#97—831no—
1458#97C22×D8311yescharacteristic, complemented
1459C4×C8—831no—
1460C4×C8—831no—
1461C24—21no—
1462C24—21no—
1463C24—3324no—
1464C24—831no—
1465C24—6642no—
1466C24—6642no—
1467C24—1661no—
1468C24—1661no—
1469C24—1661no—
1470C24—1661no—
1471C24—1661no—
1472C24—1661no—
1473#41—41no—
1474#41—41no—
1475#41—3321no—
1476#41—3321no—
1477#41—3321no—
1478#41—3324no—
1479#41—3321no—
1480#41—3321no—
1481#41—3321no—
1482#41—3321no—
1483#41—3321no—
1484#41—1662no—
1485#41—1662no—
1486C2×Q8—21no—
1487C2×Q8—41no—
1488C2×Q8—41no—
1489C2×Q8—3321no—
1490C2×Q8—3321no—
1491C2×Q8—831no—
1492C2×Q8—831no—
1493C2×Q8—831no—
1494C2×Q8—1661no—
1495C2×Q8—1661no—
1496C2×Q8C23×D8311yescharacteristic
1497C2×Q8C23×D8311yescharacteristic
1498C2×D4—22no—
1499C2×D4—22no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—41no—
1509C2×D4—41no—
1510C2×D4—82no—
1511C2×D4—3321no—
1512C2×D4—3324no—
1513C2×D4—3324no—
1514C2×D4—3324no—
1515C2×D4—3324no—
1516C2×D4—3324no—
1517C2×D4—3324no—
1518C2×D4—3321no—
1519C2×D4—3321no—
1520C2×D4—3321no—
1521C2×D4—3321no—
1522C2×D4—3321no—
1523C2×D4—831no—
1524C2×D4—831no—
1525C2×D4—831no—
1526C2×D4—831no—
1527C2×D4—831no—
1528C2×D4—831no—
1529C2×D4—831no—
1530C2×D4—831no—
1531C2×D4—6642no—
1532C2×D4—6642no—
1533C2×D4—6642no—
1534C2×D4—1662no—
1535C2×D4—1661no—
1536C2×D4—1661no—
1537C2×D4—1661no—
1538C2×D4—1661no—
1539C2×D4—1661no—
1540C2×D4—1661no—
1541C2×D4—1661no—
1542C2×D4—1661no—
1543C2×D4—1662no—
1544C2×D4—1662no—
1545C2×D4—1662no—
1546C2×D4—1661no—
1547C2×D4—1661no—
1548C2×D4—1661no—
1549C2×D4—1661no—
1550C2×D4—1662no—
1551C2×D4—1661no—
1552C2×D4—1661no—
1553C2×D4—1661no—
1554C2×D4—1661no—
1555C2×D4—1661no—
1556C2×D4—1662no—
1557C2×D4—1661no—
1558C2×D4D4×D8311yescharacteristic
1559C2×D4C23×D8311yescharacteristic
1560C2×D4C23×D8311yescharacteristic
1561C2×D4C23×D8311yescharacteristic
1562C2×D4C23×D8311yescharacteristic
1563C22×C4—21no—
1564C22×C4—21no—
1565C22×C4—21no—
1566C22×C4—3321no—
1567C22×C4—3321no—
1568C22×C4—831no—
1569C22×C4—831no—
1570C22×C4—831no—
1571C22×C4—831no—
1572C22×C4—831no—
1573C22×C4—831no—
1574C22×C4—1661no—
1575C22×C4—1661no—
1576C22×C4—1661no—
1577C22×C4—1661no—
1578C22×C4—1661no—
1579C22×C4—1661no—
1580C22×C4—1661no—
1581C22×C4—1661no—
1582C22×C4—1661no—
1583C22×C4—1661no—
1584C22×C4—1661no—
1585C22×C4C23×D8311yescharacteristic
1586C22×C4C23×D8311yescharacteristic
1587Q16—3321no—
1588Q16—3321no—
1589Q16—3321no—
1590SD16—22no—
1591SD16—22no—
1592SD16—41no—
1593SD16—41no—
1594SD16—41no—
1595SD16—41no—
1596SD16—3321no—
1597SD16—3321no—
1598SD16—3321no—
1599SD16—3321no—
1600SD16—3321no—
1601SD16—3321no—
1602SD16—1662no—
1603SD16—1662no—
1604SD16—1662no—
1605SD16—1662no—
1606D8—22no—
1607D8—41no—
1608D8—41no—
1609D8—3321no—
1610D8—1662no—
1611M16—41no—
1612M16—3321no—
1613M16—3321no—
1614M16—3321no—
1615C2×C8—41no—
1616C2×C8—3321no—
1617C2×C8—3321no—
1618C2×C8—3321no—
1619C2×C8—831no—
1620C2×C8—831no—
1621C2×C8—831no—
1622C2×C8—831no—
1623C2×C8C23×D8311yescharacteristic
1624C2×C8C23×D8311yescharacteristic
1625C2×C8C23×D8311yescharacteristic
1626C2×C8C23×D8311yescharacteristic
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—831no—
1630C4⋊C4—831no—
1631C4⋊C4—831no—
1632C4⋊C4—831no—
1633C4⋊C4—831no—
1634C4⋊C4—831no—
1635C4⋊C4—831no—
1636C4⋊C4—831no—
1637C4⋊C4—831no—
1638C4⋊C4—1661no—
1639C4⋊C4—1661no—
1640C4⋊C4—1661no—
1641C4⋊C4—1661no—
1642C4⋊C4—1661no—
1643C4⋊C4—1661no—
1644C4⋊C4—1661no—
1645C4⋊C4—1661no—
1646C4⋊C4—1661no—
1647C4⋊C4—1661no—
1648C4⋊C4—1661no—
1649C4⋊C4—1661no—
1650C4⋊C4—1661no—
1651C4⋊C4—1661no—
1652C4⋊C4—1661no—
1653C4⋊C4—1661no—
1654C4⋊C4—1661no—
1655C4⋊C4—1661no—
1656C4⋊C4—1661no—
1657C4⋊C4D4×D8311yescharacteristic
1658C4⋊C4C23×D8311yescharacteristic
1659C4⋊C4C23×D8311yescharacteristic
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—21no—
1667C22⋊C4—831no—
1668C22⋊C4—831no—
1669C22⋊C4—831no—
1670C22⋊C4—831no—
1671C22⋊C4—831no—
1672C22⋊C4—831no—
1673C22⋊C4—831no—
1674C22⋊C4—831no—
1675C22⋊C4—1661no—
1676C22⋊C4—1661no—
1677C22⋊C4—1661no—
1678C22⋊C4—1661no—
1679C22⋊C4—1661no—
1680C22⋊C4—1661no—
1681C22⋊C4—1661no—
1682C22⋊C4—1661no—
1683C22⋊C4—1661no—
1684C22⋊C4—1661no—
1685C22⋊C4—1661no—
1686C22⋊C4—1661no—
1687C22⋊C4—1661no—
1688C22⋊C4—1661no—
1689C22⋊C4—1661no—
1690C22⋊C4—1661no—
1691C22⋊C4—1661no—
1692C22⋊C4—1661no—
1693C22⋊C4—1661no—
1694C22⋊C4—1661no—
1695C22⋊C4—1661no—
1696C22⋊C4—1661no—
1697C22⋊C4—1661no—
1698C22⋊C4—1661no—
1699C22⋊C4—1661no—
1700C22⋊C4—1661no—
1701C22⋊C4—1661no—
1702C22⋊C4D4×D8311yescharacteristic
1703C22⋊C4D4×D8311yescharacteristic
1704C42—21no—
1705C42—831no—
1706C42—1661no—
1707C42—1661no—
1708C42—1661no—
1709C42—1661no—
1710C42—1661no—
1711C42C23×D8311yescharacteristic
1712C23—21no—
1713C23—21no—
1714C23—21no—
1715C23—21no—
1716C23—42no—
1717C23—42no—
1718C23—42no—
1719C23—81no—
1720C23—81no—
1721C23—81no—
1722C23—3321no—
1723C23—3321no—
1724C23—3322no—
1725C23—3322no—
1726C23—3322no—
1727C23—3322no—
1728C23—3322no—
1729C23—3322no—
1730C23—3322no—
1731C23—3322no—
1732C23—831no—
1733C23—831no—
1734C23—831no—
1735C23—6641no—
1736C23—6641no—
1737C23—6641no—
1738C23—6641no—
1739C23—6641no—
1740C23—6641no—
1741C23—6641no—
1742C23—6641no—
1743C23—6641no—
1744C23—66416no—
1745C23—1664no—
1746C23—1661no—
1747C23—1662no—
1748C23—1661no—
1749C23C2×D4×D8311yescharacteristic
1750C23C2×D4×D8311yescharacteristic
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—21no—
1755Q8—81no—
1756Q8—3321no—
1757Q8—6641no—
1758Q8—6641no—
1759Q8—1661no—
1760Q8—1661no—
1761Q8—1661no—
1762Q8—1661no—
1763D4—22no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—21no—
1770D4—21no—
1771D4—42no—
1772D4—42no—
1773D4—42no—
1774D4—42no—
1775D4—81no—
1776D4—81no—
1777D4—81no—
1778D4—81no—
1779D4—3322no—
1780D4—3321no—
1781D4—3321no—
1782D4—3322no—
1783D4—3322no—
1784D4—3322no—
1785D4—3322no—
1786D4—3322no—
1787D4—3321no—
1788D4—3321no—
1789D4—3321no—
1790D4—3322no—
1791D4—3322no—
1792D4—3322no—
1793D4—832no—
1794D4—6641no—
1795D4—6641no—
1796D4—6641no—
1797D4—6641no—
1798D4—6641no—
1799D4—6641no—
1800D4—6641no—
1801D4—6641no—
1802D4—1664no—
1803D4—1662no—
1804D4—1661no—
1805D4—1661no—
1806D4—1661no—
1807D4#1458183712yes—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—81no—
1817C2×C4—81no—
1818C2×C4—81no—
1819C2×C4—3322no—
1820C2×C4—3321no—
1821C2×C4—3321no—
1822C2×C4—3322no—
1823C2×C4—3322no—
1824C2×C4—3321no—
1825C2×C4—831no—
1826C2×C4—831no—
1827C2×C4—831no—
1828C2×C4—831no—
1829C2×C4—831no—
1830C2×C4—6641no—
1831C2×C4—6641no—
1832C2×C4—6641no—
1833C2×C4—6641no—
1834C2×C4—6641no—
1835C2×C4—6641no—
1836C2×C4—6641no—
1837C2×C4—6641no—
1838C2×C4—1661no—
1839C2×C4—1661no—
1840C2×C4—1661no—
1841C2×C4—1661no—
1842C2×C4—1661no—
1843C2×C4—1661no—
1844C2×C4—1661no—
1845C2×C4—1661no—
1846C2×C4—1661no—
1847C2×C4—1661no—
1848C2×C4—1661no—
1849C2×C4—1661no—
1850C2×C4C2×D4×D8311yescharacteristic
1851C2×C4C2×D4×D8311yescharacteristic
1852C2×C4C2×D4×D8311yescharacteristic
1853C2×C4C2×D4×D8311yescharacteristic
1854C2×C4C24×D8311yescharacteristic
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C8—21no—
1859C8—1661no—
1860C8—1661no—
1861C8—1661no—
1862C8—1661no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—22no—
1867C22—21no—
1868C22—21no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—84no—
1881C22—162no—
1882C22—13282no—
1883C22—3324no—
1884C22—3321no—
1885C22—3321no—
1886C22—3321no—
1887C22—3321no—
1888C22—3321no—
1889C22—6644no—
1890C22—6644no—
1891C22—6644no—
1892C22—6644no—
1893C22—6644no—
1894C22—1661no—
1895C22—1661no—
1896C22—1662no—
1897C22—1661no—
1898C22—1661no—
1899C22—1661no—
1900C22—1661no—
1901C22—1661no—
1902C22—1661no—
1903C22—1661no—
1904C22#1912851112yes—
1905C22C22×D4×D8311yescharacteristic
1906C4—21no—
1907C4—21no—
1908C4—21no—
1909C4—21no—
1910C4—41no—
1911C4—41no—
1912C4—41no—
1913C4—41no—
1914C4—3321no—
1915C4—3321no—
1916C4—3321no—
1917C4—3321no—
1918C4—3321no—
1919C4—3321no—
1920C4—1661no—
1921C4—1661no—
1922C4—1661no—
1923C4—1661no—
1924C4—1661no—
1925C4H(5,𝔽2)×D8311yescharacteristic
1926C4C2×#1458183711yescharacteristic
1927C2—22no—
1928C2—41no—
1929C2—42no—
1930C2—81no—
1931C2—81no—
1932C2—81no—
1933C2—3321no—
1934C2—3322no—
1935C2—3321no—
1936C2—3321no—
1937C2—6641no—
1938C2#2492109111yescharacteristic
1939C2C2×#1912851111yescharacteristic
1940C2#2492224111yescharacteristic
subgroupG/H
centerC22C22×D4×D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC83×#3265C2
socleC22×C83C23×D4
hypercenter#3265D83
hypocenterC83#61610
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

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

NH ≅ G/Ntype
1. #24921742C2semidirect
2. #24921091C2semidirect
3. #24919697C2semidirect
4. #24919674C2semidirect
5. #24919610C2semidirect
6. #24919546C2semidirect
7. #24919504C2semidirect
8. #24919488C2semidirect
9. #24919317C2semidirect
10. #24919287C2semidirect
11. #24919171C2semidirect
12. #24919152C2semidirect
13. #24919100C2semidirect
14. #24919057C2semidirect
15. #24918981C2semidirect
16. #24918973C2semidirect
17. #24918957C2semidirect
18. #24918552C2semidirect
19. #24918534C2semidirect
20. #24918331C2semidirect
21. #24918312C2semidirect
22. #24918290C2semidirect
23. #24918250C2semidirect
24. #24917714C2semidirect
25. #24917644C2semidirect
26. #24916766C2semidirect
27. #24916735C2semidirect
28. #24916687C2semidirect
29. C2×#19127850C2semidirect
30. #24916512C2semidirect
31. C83×#3265C2semidirect
34. C2×#14581821C22semidirect
35. C2×#14581816C22semidirect
36. C2×#14581816C22semidirect
37. C2×#14581812C22semidirect
38. C22×#13050577C22semidirect
39. C2×SD16×D83C22semidirect
42. #19128424C22semidirect
44. #19128408C22semidirect
45. #19128403C22semidirect
47. #19128393C22semidirect
48. Q8×C22⋊D83C22semidirect
49. #19128359C22semidirect
50. #19128350C22semidirect
62. #19128320C22semidirect
64. #19128309C22semidirect
68. #19128279C22semidirect
69. #19128274C22semidirect
75. #19128211C22semidirect
77. C2×#14581768C22semidirect
81. #19128092C22semidirect
82. #19128083C22semidirect
83. #19128072C22semidirect
84. #19128064C22semidirect
85. #19128061C22semidirect
86. #19128054C22semidirect
87. #19128047C22semidirect
88. #19128044C22semidirect
89. #19128044C22semidirect
90. #19128041C22semidirect
91. #19128041C22semidirect
92. #19128037C22semidirect
93. #19128028C22semidirect
94. #19128023C22semidirect
95. #19128023C22semidirect
96. #19128023C22semidirect
97. #19128017C22semidirect
98. #19128017C22semidirect
99. #19128015C22semidirect
100. #19128004C22semidirect
101. #19127999C22semidirect
102. #19127991C22semidirect
103. #19127982C22semidirect
104. #19127958C22semidirect
105. #19127958C22semidirect
106. #19127953C22semidirect
107. #19127947C22semidirect
108. #19127944C22semidirect
109. #19127944C22semidirect
110. #19127944C22semidirect
111. #19127942C22semidirect
112. #19127934C22semidirect
113. #19127933C22semidirect
114. #19127932C22semidirect
115. #19127928C22semidirect
116. #19127928C22semidirect
117. #19127928C22semidirect
118. #19127924C22semidirect
119. #19127923C22semidirect
120. #19127921C22semidirect
121. #19127914C22semidirect
122. #19127913C22semidirect
123. #19127905C22semidirect
124. #19127904C22semidirect
125. #19127899C22semidirect
126. #19127898C22semidirect
127. #19127894C22semidirect
128. #19127865C22semidirect
129. #19127864C22semidirect
130. #19127864C22semidirect
131. #19127861C22semidirect
132. #19127860C22semidirect
133. #19127860C22semidirect
134. #19127860C22semidirect
135. #19127857C22semidirect
136. #19127854C22semidirect
138. #19127853C22semidirect
139. #19127852C22semidirect
140. #19127852C22semidirect
143. #19127850C22semidirect
144. #19127850C22semidirect
145. #19127850C22semidirect
146. #19127850C22semidirect
147. #19127850C22semidirect
148. #19127850C22semidirect
149. #19127850C22semidirect
150. #19127846C22semidirect
151. #19127843C22semidirect
152. #19127843C22semidirect
153. #19127843C22semidirect
154. #19127841C22semidirect
155. #19127838C22semidirect
156. #19127834C22semidirect
158. #19127833C22semidirect
159. #19127833C22semidirect
160. #19127810C22semidirect
161. #19127803C22semidirect
162. #19127802C22semidirect
163. C4×#13050577C22semidirect
164. C4×#13050578C22semidirect
165. #19127786C22semidirect
166. D8×Dic83C22semidirect
167. #19127778C22semidirect
168. #19127777C22semidirect
169. #19127774C22semidirect
170. #19127772C22semidirect
171. #19127769C22semidirect
172. D4×C83⋊C8C22semidirect
173. (C22⋊D83)⋊C8C22semidirect
174. #19127763C22semidirect
175. #19127761C22semidirect
176. #19127704C22semidirect
177. #19127704C22semidirect
178. #19127704C22semidirect
179. #19127703C22semidirect
180. #19127694C22semidirect
181. C2×#14581714C22semidirect
182. C2×#14581713C22semidirect
183. C2×#14581713C22semidirect
184. #19127669C22semidirect
185. #19127666C22semidirect
186. #19127663C22semidirect
187. C2×(C2×D83)⋊C8C22semidirect
188. C2×AGL(1,ℤ/8)×C83C22semidirect
189. C22×SD16×C83C22semidirect
190. #548×C83C22semidirect
192. #496×C83C22semidirect
193. #468×C83C22semidirect
194. #466×C83C22semidirect
195. #463×C83C22semidirect
196. #460×C83C22semidirect
197. #450×C83C22semidirect
198. #449×C83C22semidirect
199. #448×C83C22semidirect
200. #447×C83C22semidirect
201. #440×C83C22semidirect
202. #435×C83C22semidirect
212. C2×Q8×D83C23semidirect
235. C2×Dic332C23semidirect
236. C2×#13050580C23semidirect
237. C2×#13050580C23semidirect
242. C2×#13050578C23semidirect
243. C2×#13050578C23semidirect
254. C2×#13050573C23semidirect
256. C22×C83⋊C8C23semidirect
257. C2×C8×D83C23semidirect
258. #14581792C23semidirect
261. #14581790C23semidirect
274. #14581783C23semidirect
304. #14581771C23semidirect
318. #14581768C23semidirect
341. #14581763C23semidirect
360. Q8×Dic83C23semidirect
362. C4×Dic166C23semidirect
370. D4×Dic83C23semidirect
382. #14581750C23semidirect
386. C2×C4⋊Dic83C23semidirect
396. #14581726C23semidirect
397. #14581726C23semidirect
398. #14581726C23semidirect
399. #14581723C23semidirect
400. #14581723C23semidirect
401. #14581723C23semidirect
402. #14581723C23semidirect
403. C4⋊(C83⋊C8)C23semidirect
404. Dic83⋊C8C23semidirect
405. Dic83⋊C8C23semidirect
406. #14581717C23semidirect
407. #14581717C23semidirect
408. #14581717C23semidirect
409. #14581717C23semidirect
410. #14581716C23semidirect
411. #14581716C23semidirect
412. #14581715C23semidirect
413. #14581715C23semidirect
426. #14581713C23semidirect
427. #14581713C23semidirect
428. #14581713C23semidirect
429. #14581713C23semidirect
433. C22⋊(C83⋊C8)C23semidirect
440. (C2×D83)⋊C8C23semidirect
441. (C2×D83)⋊C8C23semidirect
442. #14581702C23semidirect
443. C4×C83⋊C8C23semidirect
444. C8×Dic83C23semidirect
445. C2×#41×C83C23semidirect
456. C2×SD16×C83C23semidirect
457. C2×SD16×C83C23semidirect
460. C2×D8×C83C23semidirect
461. C2×M16×C83C23semidirect
465. #124×C83C23semidirect
467. C22⋊Q8×C83C23semidirect
475. C4×Q8×C83C23semidirect
479. #107×C83C23semidirect
480. C4⋊C8×C83C23semidirect
481. #103×C83C23semidirect
482. #103×C83C23semidirect
485. #102×C83C23semidirect
486. #102×C83C23semidirect
488. C22⋊C8×C83C23semidirect
489. #97×C83C23semidirect
988. #3265D83semidirect
1002. C83#61610semidirect
1008. C2×AGL(1,ℤ/8)C2×D83semidirect
1012. C22×SD16C2×D83semidirect
1023. #548C2×D83semidirect
1057. #496C2×D83semidirect
1087. #468C2×D83semidirect
1090. #466C2×D83semidirect
1101. #463C2×D83semidirect
1106. #460C2×D83semidirect
1130. #450C2×D83semidirect
1135. #449C2×D83semidirect
1138. #448C2×D83semidirect
1143. #447C2×D83semidirect
1147. #440C2×D83semidirect
1157. #435C2×D83semidirect
1183. C2×#41C22×D83semidirect
1232. C2×SD16C22×D83semidirect
1233. C2×SD16C22×D83semidirect
1238. C2×D8C22×D83semidirect
1242. C2×M16C22×D83semidirect
1274. #124C22×D83semidirect
1312. C22⋊Q8C22×D83semidirect
1364. C4×Q8C22×D83semidirect
1404. #107C22×D83semidirect
1412. C4⋊C8C22×D83semidirect
1421. #103C22×D83semidirect
1422. #103C22×D83semidirect
1443. #102C22×D83semidirect
1444. #102C22×D83semidirect
1456. C22⋊C8C22×D83semidirect
1458. #97C22×D83semidirect

Maximal subgroups

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

subgroupindex
#249217422
#249210912
#249196972
#249196742
#249196102
#249195462
#249195042
#249194882
#249193172
#249192872
#249191712
#249191522
#249191002
#249190572
#249189812
#249189732
#249189572
#249185522
#249185342
#249183312
#249183122
#249182902
#249182502
#249177142
#249176442
#249167662
#249167352
#249166872
C2×#191278502
#249165122
C83×#32652
#6161083