Finite Group Databasebeta

← #36290474

Subgroups — #36290474

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#24921679C211yesmaximal, characteristic, complemented
2#24921091C211yesmaximal, characteristic, complemented
3#24919549C211yesmaximal, characteristic, complemented
4#24919539C211yesmaximal, characteristic, complemented
5#24919428C211yesmaximal, characteristic, complemented
6#24919426C211yesmaximal, characteristic, complemented
7#24919290C211yesmaximal, characteristic, complemented
8#24919280C211yesmaximal, characteristic, complemented
9#24919276C211yesmaximal, characteristic, complemented
10#24919271C211yesmaximal, characteristic, complemented
11#24919171C211yesmaximal, characteristic, complemented
12#24919170C211yesmaximal, characteristic, complemented
13#24919146C211yesmaximal, characteristic, complemented
14#24919143C211yesmaximal, characteristic, complemented
15#24918951C211yesmaximal, characteristic, complemented
16#24918942C211yesmaximal, characteristic, complemented
17#24918937C211yesmaximal, characteristic, complemented
18#24918562C211yesmaximal, characteristic, complemented
19#24918552C211yesmaximal, characteristic, complemented
20#24918316C211yesmaximal, characteristic, complemented
21#24918314C211yesmaximal, characteristic, complemented
22#24918241C211yesmaximal, characteristic, complemented
23#24918223C211yesmaximal, characteristic, complemented
24#24917651C211yesmaximal, characteristic, complemented
25#24917646C211yesmaximal, characteristic, complemented
26#24916768C211yesmaximal, characteristic, complemented
27#24916766C211yesmaximal, characteristic, complemented
28C2×#19127850C211yesmaximal, characteristic, complemented
29#447×D83C211yesmaximal, characteristic, complemented
30#24916514C211yesmaximal, characteristic, complemented
31C83×#3265C211yesmaximal, characteristic, complemented
32C2×#14581837C2211yescharacteristic, complemented
33C22×D4×D83C2211yescharacteristic
34C2×#14581819C2211yescharacteristic, complemented
35C2×#14581813C2211yescharacteristic, complemented
36C2×#14581812C2211yescharacteristic, complemented
37C22×#13050577C2211yescharacteristic, complemented
38C2×D8×D83C2211yescharacteristic, complemented
39C2×D8×D83C2211yescharacteristic, complemented
40#19128447—21no—
41#19128445—21no—
42#19128411C2211yescharacteristic, complemented
43#19128409C2211yescharacteristic, complemented
44#19128362C2211yescharacteristic, complemented
45#19128355C2211yescharacteristic, complemented
46#19128351C2211yescharacteristic, complemented
47#19128348C2211yescharacteristic
48#19128347C2211yescharacteristic, complemented
49#19128346—21no—
50#19128346C2211yescharacteristic
51#19128345C2211yescharacteristic, complemented
52#19128344C2211yescharacteristic, complemented
53#19128340—21no—
54#19128340—21no—
55#19128339C2211yescharacteristic, complemented
56#19128338—21no—
57#19128336C2211yescharacteristic
58#19128335C2211yescharacteristic, complemented
59D4×C22⋊D83—21no—
60D4×C22⋊D83C2211yescharacteristic
61#19128333—21no—
62#19128326—21no—
63#19128323C2211yescharacteristic, complemented
64#19128320C2211yescharacteristic, complemented
65#19128293—21no—
66#19128285—21no—
67#19128281C2211yescharacteristic, complemented
68#19128279C2211yescharacteristic, complemented
69#19128278—21no—
70#19128267C2211yescharacteristic, complemented
71#19128264C2211yescharacteristic, complemented
72#19128261—21no—
73#19128259—21no—
74#19128211C2211yescharacteristic
75#19128210C2211yescharacteristic
76C2×#14581768C2211yescharacteristic, complemented
77#121×D83C2211yescharacteristic, complemented
78C2×#14581760—21no—
79#120×D83—21no—
80#19128173C2211yescharacteristic, complemented
81#19128087C2211yescharacteristic, complemented
82#19128083C2211yescharacteristic, complemented
83#19128082C2211yescharacteristic, complemented
84#19128061C2211yescharacteristic, complemented
85#19128059C2211yescharacteristic, complemented
86#19128047C2211yescharacteristic, complemented
87#19128046C2211yescharacteristic, complemented
88#19128040C2211yescharacteristic, complemented
89#19128040C2211yescharacteristic, complemented
90#19128038C2211yescharacteristic, complemented
91#19128032C2211yescharacteristic, complemented
92#19128028C2211yescharacteristic, complemented
93#19128024C2211yescharacteristic, complemented
94#19128020C2211yescharacteristic, complemented
95#19128018C2211yescharacteristic, complemented
96#19128018C2211yescharacteristic, complemented
97#19128016C2211yescharacteristic, complemented
98#19128012C2211yescharacteristic, complemented
99#19128012C2211yescharacteristic, complemented
100#19127992C2211yescharacteristic, complemented
101#19127989C2211yescharacteristic, complemented
102#19127981C2211yescharacteristic, complemented
103#19127980C2211yescharacteristic, complemented
104#19127954C2211yescharacteristic, complemented
105#19127951C2211yescharacteristic, complemented
106#19127950C2211yescharacteristic, complemented
107#19127941C2211yescharacteristic, complemented
108#19127941C2211yescharacteristic, complemented
109#19127936C2211yescharacteristic, complemented
110#19127935C2211yescharacteristic, complemented
111#19127935C2211yescharacteristic, complemented
112#19127932C2211yescharacteristic, complemented
113#19127930C2211yescharacteristic, complemented
114#19127928C2211yescharacteristic, complemented
115#19127927C2211yescharacteristic, complemented
116#19127927C2211yescharacteristic, complemented
117#19127927C2211yescharacteristic, complemented
118#19127923C2211yescharacteristic, complemented
119#19127921C2211yescharacteristic, complemented
120#19127919C2211yescharacteristic, complemented
121#19127918C2211yescharacteristic, complemented
122#19127917C2211yescharacteristic, complemented
123#19127914C2211yescharacteristic, complemented
124#19127913C2211yescharacteristic, complemented
125#19127899C2211yescharacteristic, complemented
126#19127894C2211yescharacteristic, complemented
127#19127893C2211yescharacteristic, complemented
128#19127861C2211yescharacteristic, complemented
129#19127860C2211yescharacteristic, complemented
130#19127860C2211yescharacteristic, complemented
131#19127860C2211yescharacteristic, complemented
132#19127857C2211yescharacteristic, complemented
133#19127853C2211yescharacteristic, complemented
134#19127850C2211yescharacteristic, complemented
135#19127850C2211yescharacteristic, complemented
136#19127850C2211yescharacteristic, complemented
137#19127850C2211yescharacteristic, complemented
138#19127850C2211yescharacteristic, complemented
139#19127850C2211yescharacteristic, complemented
140#19127850C2211yescharacteristic, complemented
141#19127850C2211yescharacteristic, complemented
142#19127850C2211yescharacteristic, complemented
143#19127849C2211yescharacteristic, complemented
144#19127848C2211yescharacteristic, complemented
145#19127847C2211yescharacteristic, complemented
146#19127846C2211yescharacteristic, complemented
147#19127845C2211yescharacteristic, complemented
148#19127843C2211yescharacteristic, complemented
149#19127843C2211yescharacteristic, complemented
150#19127837C2211yescharacteristic, complemented
151#19127836C2211yescharacteristic
152#19127836C2211yescharacteristic, complemented
153#19127835C2211yescharacteristic, complemented
154#19127835C2211yescharacteristic, complemented
155#19127834C2211yescharacteristic, complemented
156#19127833C2211yescharacteristic
157#19127833C2211yescharacteristic, complemented
158#19127833C2211yescharacteristic, complemented
159#19127833C2211yescharacteristic, complemented
160#19127814C2211yescharacteristic, complemented
161#19127813C2211yescharacteristic, complemented
162#19127804C2211yescharacteristic, complemented
163SD16×Dic83C2211yescharacteristic, complemented
164C4×#13050577C2211yescharacteristic, complemented
165C4×#13050575C2211yescharacteristic, complemented
166#19127781C2211yescharacteristic, complemented
167#19127774C2211yescharacteristic, complemented
168#19127770C2211yescharacteristic, complemented
169#19127769C2211yescharacteristic, complemented
170D4×C83⋊C8C2211yescharacteristic, complemented
171#19127766C2211yescharacteristic, complemented
172C8×C22⋊D83C2211yescharacteristic, complemented
173(C22⋊D83)⋊C8C2211yescharacteristic, complemented
174#19127763C2211yescharacteristic, complemented
175#19127761C2211yescharacteristic, complemented
176#19127703C2211yescharacteristic, complemented
177#19127699C2211yescharacteristic, complemented
178C2×#14581714C2211yescharacteristic, complemented
179C2×#14581713C2211yescharacteristic, complemented
180C2×#14581713C2211yescharacteristic, 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
188C2×AGL(1,ℤ/8)×C83C2211yescharacteristic, complemented
189C22×SD16×C83C2211yescharacteristic, complemented
190#548×C83C2211yescharacteristic, complemented
191D42×C83C2211yescharacteristic, complemented
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×#13050591C2311yescharacteristic, complemented
207C2×#13050590C2311yescharacteristic
208C2×#13050590C2311yescharacteristic
209C2×#13050589—21no—
210C2×#13050589—21no—
211C2×#13050589—21no—
212C2×#13050589C2311yescharacteristic
213C2×#13050589C2311yescharacteristic
214C22×D332C2311yescharacteristic
215C22×C22⋊D83—21no—
216C22×C22⋊D83—21no—
217C22×C22⋊D83—21no—
218C22×C22⋊D83—21no—
219C2×D4×D83—21no—
220C2×D4×D83—21no—
221C2×D4×D83—21no—
222C2×D4×D83—21no—
223C2×D4×D83—21no—
224C2×D4×D83—21no—
225C2×D4×D83—42no—
226C2×D4×D83—42no—
227C2×D4×D83C2311yescharacteristic
228C2×D4×D83C2311yescharacteristic
229C2×D4×D83C2311yescharacteristic
230C2×D4×D83C2311yescharacteristic
231C2×D4×D83C2311yescharacteristic
232C2×D4×D83C2311yescharacteristic
233C22×C4×D83C2311yescharacteristic
234#14581819—42no—
235#14581813—42no—
236#14581812—42no—
237C2×#13050580C2311yescharacteristic, complemented
238C2×#13050580C2311yescharacteristic, complemented
239C2×#13050579C2311yescharacteristic, complemented
240C2×#13050578C2311yescharacteristic, complemented
241C2×#13050577—42no—
242C2×#13050577C2311yescharacteristic
243C2×#13050577C2311yescharacteristic
244C2×#13050577C2311yescharacteristic
245C2×#13050577C2311yescharacteristic
246C2×D664C2311yescharacteristic
247C2×D664C2311yescharacteristic
248C2×#13050575C2311yescharacteristic
249C2×#13050575C2311yescharacteristic
250C2×#13050575C2311yescharacteristic
251C2×#13050575C2311yescharacteristic
252C2×#13050575C2311yescharacteristic, complemented
253D8×D83—42no—
254D8×D83—42no—
255C2×#13050573C2311yescharacteristic, complemented
256C22×C83⋊C8C2311yescharacteristic
257C22×C83⋊C8C2311yescharacteristic, complemented
258C2×C8×D83C2311yescharacteristic
259C2×C8×D83C2311yescharacteristic
260C2×C8×D83C2311yescharacteristic, complemented
261#14581792C2311yescharacteristic, complemented
262#14581791C2311yescharacteristic, complemented
263#14581788—21no—
264#14581788C2311yescharacteristic
265#14581786—21no—
266#14581785—21no—
267#14581784—21no—
268#14581782—21no—
269#14581781—21no—
270#14581781C2311yescharacteristic, complemented
271#14581780—21no—
272#14581780C2311yescharacteristic
273#14581779C2311yescharacteristic
274#14581778—21no—
275#14581778—21no—
276#14581777—21no—
277#14581777—21no—
278#14581777D411yescharacteristic
279#14581776—21no—
280#14581776—21no—
281#14581776—21no—
282#14581776—21no—
283#14581775—21no—
284#14581774—21no—
285#14581774—21no—
286#14581774—21no—
287#14581774—21no—
288#14581774D411yescharacteristic
289#14581773—21no—
290#14581773—21no—
291#14581772—21no—
292#14581772—21no—
293#14581772C2311yescharacteristic
294#14581771—21no—
295#14581771C2311yescharacteristic
296#14581770—21no—
297#14581770—21no—
298#14581770—21no—
299#14581770—21no—
300#14581770D411yescharacteristic
301#14581769—21no—
302#14581769—21no—
303#14581769—21no—
304#14581769D411yescharacteristic
305#14581768—21no—
306#14581768—21no—
307#14581768—21no—
308#14581768C2311yescharacteristic
309#14581768C2311yescharacteristic
310#14581768C2311yescharacteristic
311#14581768C2311yescharacteristic
312#14581768C2311yescharacteristic, complemented
313#14581767—21no—
314#14581767C2311yescharacteristic
315#14581767C2311yescharacteristic
316#14581766—21no—
317#14581766—21no—
318#14581766—21no—
319#14581766C2311yescharacteristic
320#14581766C2311yescharacteristic
321#14581766C2311yescharacteristic, complemented
322#14581765—21no—
323#14581765—21no—
324#14581765—21no—
325#14581765—21no—
326#14581765—21no—
327#14581765—21no—
328#14581765D411yescharacteristic
329#14581764—21no—
330#14581764—21no—
331#14581764—21no—
332#14581764—21no—
333#14581764—21no—
334#14581764—21no—
335#14581764—21no—
336#14581764—21no—
337#14581764D411yescharacteristic
338#14581763—21no—
339#14581763—21no—
340#14581763C2311yescharacteristic
341#14581763C2311yescharacteristic
342#14581763C2311yescharacteristic
343#14581763C2311yescharacteristic, complemented
344#14581762—21no—
345#14581762—21no—
346#14581762—21no—
347#14581762—21no—
348#14581762D411yescharacteristic
349#14581761—21no—
350#14581761—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#14581760—21no—
360#14581760—21no—
361#14581760—21no—
362#14581760D411yescharacteristic
363Q8×Dic83C2311yescharacteristic, complemented
364C4×D332—21no—
365C4×D332C2311yescharacteristic
366C4×D332C2311yescharacteristic
367C4×D332C2311yescharacteristic, complemented
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#14581750C2311yescharacteristic
380#14581749C2311yescharacteristic
381C2×C4⋊Dic83C2311yescharacteristic
382C2×C4⋊Dic83C2311yescharacteristic, complemented
383C2×Dic83⋊C4—21no—
384C4⋊C4×D83C2311yescharacteristic
385C4⋊C4×D83C2311yescharacteristic, complemented
386C2×C22⋊Dic83—21no—
387C2×(C2×D83)⋊C4—21no—
388C2×(C2×D83)⋊C4—21no—
389C2×(C2×D83)⋊C4—21no—
390C2×(C2×D83)⋊C4—21no—
391C22⋊C4×D83—21no—
392C22⋊C4×D83—21no—
393C22⋊C4×D83—21no—
394C22⋊C4×D83—21no—
395C22⋊C4×D83—21no—
396#14581725C2311yescharacteristic, complemented
397#14581725C2311yescharacteristic, complemented
398#14581725C2311yescharacteristic, complemented
399#14581724C2311yescharacteristic, complemented
400#14581724C2311yescharacteristic, complemented
401#14581724C2311yescharacteristic, 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#14581716C2311yescharacteristic, complemented
410#14581716C2311yescharacteristic, complemented
411#14581715C2311yescharacteristic, complemented
412#14581714C2311yescharacteristic
413#14581714C2311yescharacteristic
414#14581714C2311yescharacteristic
415#14581714C2311yescharacteristic
416#14581714C2311yescharacteristic
417#14581714C2311yescharacteristic
418#14581714C2311yescharacteristic, complemented
419#14581713C2311yescharacteristic
420#14581713C2311yescharacteristic
421#14581713C2311yescharacteristic
422#14581713C2311yescharacteristic
423#14581713C2311yescharacteristic
424#14581713C2311yescharacteristic
425#14581713C2311yescharacteristic, complemented
426#14581713C2311yescharacteristic, complemented
427#14581713C2311yescharacteristic, complemented
428#14581713C2311yescharacteristic, complemented
429#14581712C2311yescharacteristic
430#14581712C2311yescharacteristic
431#14581712C2311yescharacteristic, complemented
432C22⋊(C83⋊C8)C2311yescharacteristic
433C22⋊(C83⋊C8)C2311yescharacteristic, complemented
434(C2×D83)⋊C8C2311yescharacteristic
435(C2×D83)⋊C8C2311yescharacteristic
436(C2×D83)⋊C8C2311yescharacteristic
437(C2×D83)⋊C8C2311yescharacteristic
438(C2×D83)⋊C8C2311yescharacteristic
439(C2×D83)⋊C8C2311yescharacteristic
440(C2×D83)⋊C8C2311yescharacteristic, complemented
441(C2×D83)⋊C8C2311yescharacteristic, complemented
442#14581702C2311yescharacteristic, complemented
443C4×C83⋊C8C2311yescharacteristic, complemented
444C8×Dic83C2311yescharacteristic, complemented
445C2×#41×C83C2311yescharacteristic, 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—21no—
497C23×D83—44no—
498C23×D83—82no—
499C23×D83—82no—
500C23×D83C2×D411yescharacteristic
501#13050591—41no—
502#13050591—41no—
503#13050590—22no—
504#13050590—41no—
505#13050590—41no—
506#13050590—41no—
507#13050589—22no—
508#13050589—41no—
509#13050589—41no—
510#13050589—41no—
511#13050589—44no—
512#13050589—82no—
513#13050589—82no—
514C2×Dic166—21no—
515C2×Dic166—21no—
516C2×Dic166C2×D411yescharacteristic
517C2×Dic166C2411yescharacteristic
518C2×D332—22no—
519C2×D332—21no—
520C2×D332—21no—
521C2×D332—21no—
522C2×D332—21no—
523C2×D332—41no—
524C2×D332C2×D411yescharacteristic
525C2×D332C2×D411yescharacteristic
526C2×D332C2411yescharacteristic
527C2×D332C2411yescharacteristic
528C2×D332C2411yescharacteristic
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—21no—
543C2×C22⋊D83—21no—
544C2×C22⋊D83—21no—
545C2×C22⋊D83—21no—
546C2×C22⋊D83—21no—
547C2×C22⋊D83—44no—
548C2×C22⋊D83—44no—
549C2×C22⋊D83—44no—
550C2×C22⋊D83—82no—
551C2×C22⋊D83C2×D411yescharacteristic
552C2×C22⋊D83C2×D411yescharacteristic
553C2×C22⋊D83C2×D411yescharacteristic
554C2×C22⋊D83C2×D411yescharacteristic
555D4×D83—22no—
556D4×D83—22no—
557D4×D83—22no—
558D4×D83—22no—
559D4×D83—22no—
560D4×D83—41no—
561D4×D83—41no—
562D4×D83—41no—
563D4×D83—41no—
564D4×D83—41no—
565D4×D83—41no—
566D4×D83—41no—
567D4×D83—44no—
568D4×D83—44no—
569D4×D83—44no—
570D4×D83—82no—
571D4×D83—82no—
572D4×D83—82no—
573C22×Dic83—21no—
574C22×Dic83—21no—
575C22×Dic83—21no—
576C22×Dic83—21no—
577C22×Dic83—21no—
578C22×Dic83—21no—
579C22×Dic83C2×D411yescharacteristic
580C2×C4×D83—21no—
581C2×C4×D83—21no—
582C2×C4×D83—21no—
583C2×C4×D83—21no—
584C2×C4×D83—21no—
585C2×C4×D83—21no—
586C2×C4×D83—21no—
587C2×C4×D83—41no—
588C2×C4×D83—41no—
589C2×C4×D83C2×D411yescharacteristic
590C2×C4×D83C2×D411yescharacteristic
591C2×C4×D83C2411yescharacteristic
592C2×C4×D83C2411yescharacteristic
593C2×C4×D83C2411yescharacteristic
594#13050580—41no—
595#13050580—41no—
596#13050579—41no—
597#13050578—41no—
598#13050577—22no—
599#13050577—22no—
600#13050577—41no—
601#13050577—41no—
602D664—22no—
603D664—41no—
604#13050575—22no—
605#13050575—22no—
606#13050575—41no—
607#13050575—41no—
608#13050575—41no—
609#13050573—41no—
610C2×C83⋊C8—41no—
611C2×C83⋊C8—41no—
612C2×C83⋊C8C2411yescharacteristic
613C2×C83⋊C8C2411yescharacteristic
614C2×C83⋊C8C2411yescharacteristic
615C2×C83⋊C8C2411yescharacteristic
616C8×D83—41no—
617C8×D83—41no—
618C8×D83—41no—
619C4⋊Dic83—21no—
620C4⋊Dic83—21no—
621C4⋊Dic83—21no—
622C4⋊Dic83—21no—
623C4⋊Dic83—21no—
624C4⋊Dic83C2×D411yescharacteristic
625C4⋊Dic83C2411yescharacteristic
626C4⋊Dic83C2411yescharacteristic
627C4⋊Dic83C2411yescharacteristic
628C4⋊Dic83C2411yescharacteristic
629Dic83⋊C4—21no—
630Dic83⋊C4—21no—
631Dic83⋊C4—21no—
632Dic83⋊C4—21no—
633Dic83⋊C4—21no—
634Dic83⋊C4—21no—
635Dic83⋊C4—21no—
636Dic83⋊C4—21no—
637Dic83⋊C4—21no—
638Dic83⋊C4C2×D411yescharacteristic
639Dic83⋊C4C2×D411yescharacteristic
640Dic83⋊C4C2×D411yescharacteristic
641Dic83⋊C4C2×D411yescharacteristic
642C22⋊Dic83—21no—
643C22⋊Dic83—21no—
644C22⋊Dic83—21no—
645C22⋊Dic83—21no—
646C22⋊Dic83—21no—
647C22⋊Dic83—21no—
648C22⋊Dic83—21no—
649C22⋊Dic83—21no—
650C22⋊Dic83—21no—
651C22⋊Dic83C2×D411yescharacteristic
652C22⋊Dic83C2×D411yescharacteristic
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)⋊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)⋊C4C2×D411yescharacteristic
673(C2×D83)⋊C4C2×D411yescharacteristic
674(C2×D83)⋊C4C2×D411yescharacteristic
675(C2×D83)⋊C4C2×D411yescharacteristic
676(C2×D83)⋊C4C2×D411yescharacteristic
677(C2×D83)⋊C4C2×D411yescharacteristic
678C4×Dic83—21no—
679C4×Dic83—21no—
680C4×Dic83C2411yescharacteristic
681C24×C83—21no—
682C24×C83—21no—
683#41×C83—41no—
684#41×C83—41no—
685C2×Q8×C83—21no—
686C2×Q8×C83—41no—
687C2×Q8×C83—41no—
688C2×Q8×C83C2411yescharacteristic
689C2×Q8×C83C2411yescharacteristic
690C2×D4×C83—22no—
691C2×D4×C83—22no—
692C2×D4×C83—21no—
693C2×D4×C83—21no—
694C2×D4×C83—21no—
695C2×D4×C83—21no—
696C2×D4×C83—21no—
697C2×D4×C83—21no—
698C2×D4×C83—21no—
699C2×D4×C83—21no—
700C2×D4×C83—41no—
701C2×D4×C83—41no—
702C2×D4×C83—82no—
703C2×D4×C83C2×D411yescharacteristic
704C2×D4×C83C2411yescharacteristic
705C2×D4×C83C2411yescharacteristic
706C2×D4×C83C2411yescharacteristic
707C2×D4×C83C2411yescharacteristic
708C22×C4×C83—21no—
709C22×C4×C83—21no—
710C22×C4×C83—21no—
711C22×C4×C83C2411yescharacteristic
712C22×C4×C83C2411yescharacteristic
713SD16×C83—22no—
714SD16×C83—22no—
715SD16×C83—41no—
716SD16×C83—41no—
717SD16×C83—41no—
718SD16×C83—41no—
719D8×C83—22no—
720D8×C83—41no—
721D8×C83—41no—
722M16×C83—41no—
723C2×C8×C83—41no—
724C2×C8×C83C2411yescharacteristic
725C2×C8×C83C2411yescharacteristic
726C2×C8×C83C2411yescharacteristic
727C2×C8×C83C2411yescharacteristic
728C4⋊C4×C83—21no—
729C4⋊C4×C83—21no—
730C4⋊C4×C83C2×D411yescharacteristic
731C4⋊C4×C83C2411yescharacteristic
732C4⋊C4×C83C2411yescharacteristic
733C22⋊C4×C83—21no—
734C22⋊C4×C83—21no—
735C22⋊C4×C83—21no—
736C22⋊C4×C83—21no—
737C22⋊C4×C83—21no—
738C22⋊C4×C83—21no—
739C22⋊C4×C83—21no—
740C22⋊C4×C83C2×D411yescharacteristic
741C22⋊C4×C83C2×D411yescharacteristic
742C42×C83—21no—
743C42×C83C2411yescharacteristic
744C23×C83—21no—
745C23×C83—21no—
746C23×C83—21no—
747C23×C83—21no—
748C23×C83—42no—
749C23×C83—42no—
750C23×C83—42no—
751C23×C83—81no—
752C23×C83—81no—
753C23×C83—81no—
754C23×C83C22×D411yescharacteristic
755C23×C83C22×D411yescharacteristic
756C22×D83—22no—
757C22×D83—21no—
758C22×D83—24no—
759C22×D83—22no—
760C22×D83—21no—
761C22×D83—21no—
762C22×D83—41no—
763C22×D83—42no—
764C22×D83—42no—
765C22×D83—42no—
766C22×D83—42no—
767C22×D83—42no—
768C22×D83—42no—
769C22×D83—42no—
770C22×D83—42no—
771C22×D83—42no—
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—21no—
797D4×C83—21no—
798D4×C83—21no—
799D4×C83—21no—
800D4×C83—42no—
801D4×C83—42no—
802D4×C83—42no—
803D4×C83—42no—
804D4×C83—81no—
805D4×C83—81no—
806D4×C83—81no—
807D4×C83—81no—
808D4×C83H(5,𝔽2)12yes—
809C2×C4×C83—21no—
810C2×C4×C83—21no—
811C2×C4×C83—21no—
812C2×C4×C83—21no—
813C2×C4×C83—21no—
814C2×C4×C83—21no—
815C2×C4×C83—21no—
816C2×C4×C83—21no—
817C2×C4×C83—81no—
818C2×C4×C83—81no—
819C2×C4×C83—81no—
820C2×C4×C83C22×D411yescharacteristic
821C2×C4×C83C22×D411yescharacteristic
822C2×C4×C83C22×D411yescharacteristic
823C2×C4×C83C22×D411yescharacteristic
824C2×C4×C83C2511yescharacteristic
825C22⋊D83—24no—
826C22⋊D83—22no—
827C22⋊D83—22no—
828C22⋊D83—41no—
829C22⋊D83—41no—
830C22⋊D83—42no—
831C22⋊D83—42no—
832C22⋊D83—42no—
833C22⋊D83—42no—
834C22⋊D83—42no—
835C22⋊D83—42no—
836C22⋊D83—42no—
837C22⋊D83—42no—
838C22⋊D83—42no—
839C22⋊D83—81no—
840C22⋊D83—81no—
841C22⋊D83—81no—
842C22⋊D83—81no—
843C22⋊D83—81no—
844C22⋊D83—81no—
845C22⋊D83—81no—
846C22⋊D83—81no—
847C2×Dic83—21no—
848C2×Dic83—21no—
849C2×Dic83—21no—
850C2×Dic83—21no—
851C2×Dic83—21no—
852C2×Dic83—41no—
853C2×Dic83—42no—
854C2×Dic83—42no—
855C2×Dic83—42no—
856C2×Dic83—81no—
857C2×Dic83—81no—
858C2×Dic83—81no—
859C2×Dic83C22×D411yescharacteristic
860C2×Dic83C22×D411yescharacteristic
861C2×Dic83C22×D411yescharacteristic
862C2×Dic83C22×D411yescharacteristic
863C2×Dic83C22×D411yescharacteristic
864D332—22no—
865D332—21no—
866D332—21no—
867D332—21no—
868D332—21no—
869D332—21no—
870D332—41no—
871D332—42no—
872D332—81no—
873D332—81no—
874D332—81no—
875D332H(5,𝔽2)12yes—
876C4×D83—21no—
877C4×D83—21no—
878C4×D83—21no—
879C4×D83—21no—
880C4×D83—21no—
881C4×D83—21no—
882C4×D83—41no—
883C4×D83—41no—
884C4×D83—42no—
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—41no—
916C22×C83—41no—
917C22×C83—41no—
918C22×C83—41no—
919C22×C83—41no—
920C22×C83—41no—
921C22×C83—84no—
922C22×C83—162no—
923C22×C83#57612yes—
924C22×C83C23×D411yescharacteristic
925C2×D83—21no—
926C2×D83—21no—
927C2×D83—21no—
928C2×D83—21no—
929C2×D83—22no—
930C2×D83—21no—
931C2×D83—21no—
932C2×D83—21no—
933C2×D83—21no—
934C2×D83—44no—
935C2×D83—41no—
936C2×D83—41no—
937C2×D83—41no—
938C2×D83—41no—
939C2×D83—41no—
940C2×D83—41no—
941C2×D83—41no—
942C2×D83—41no—
943C2×D83—84no—
944C2×D83—84no—
945C2×D83—84no—
946C2×D83—84no—
947C2×D83—84no—
948C2×D83—162no—
949C2×D83—162no—
950C2×D83#57712yes—
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×C83C2×H(5,𝔽2)11yescharacteristic
960C4×C83C2×H(5,𝔽2)11yescharacteristic
961Dic83—21no—
962Dic83—21no—
963Dic83—21no—
964Dic83—21no—
965Dic83—21no—
966Dic83—41no—
967Dic83—41no—
968Dic83—41no—
969Dic83—41no—
970Dic83—41no—
971#61629—831nomaximal, Sylow
972C2×C83—22no—
973C2×C83—42no—
974C2×C83—41no—
975C2×C83—81no—
976C2×C83—81no—
977C2×C83—81no—
978C2×C83#348411yescharacteristic
979C2×C83C2×#57611yescharacteristic
980C2×C83C2×#57711yescharacteristic
981D83—22no—
982D83—41no—
983D83—41no—
984D83—42no—
985D83—81no—
986D83—81no—
987#3536—831no—
988#3484—831no—
989#3314—831no—
990#3314—831no—
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#3265D8311yescharacteristic, complemented
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)C2×D8311yescharacteristic, complemented
1023C2×#135—831no—
1024C2×#135—831no—
1025C22×SD16—831no—
1026C22×SD16C2×D8311yescharacteristic, complemented
1027C22×D8—831no—
1028C22×D8—831no—
1029#562—1661no—
1030#562—1661no—
1031#554—831no—
1032#554—831no—
1033#548—831no—
1034#548C2×D8311yescharacteristic, complemented
1035#547—831no—
1036#547—831no—
1037#546—831no—
1038#546—831no—
1039#546—831no—
1040#546—831no—
1041#546—831no—
1042#546—831no—
1043#546—1661no—
1044#546—1661no—
1045#546—1661no—
1046#546—1661no—
1047D42—831no—
1048D42—831no—
1049D42—831no—
1050D42—1661no—
1051D42—1661no—
1052D42C2×D8311yescharacteristic, complemented
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#496C2×D8311yescharacteristic, complemented
1074#495—831no—
1075#495—831no—
1076#489—831no—
1077#489—831no—
1078#486—831no—
1079#486—831no—
1080#485—831no—
1081#485—831no—
1082#484—831no—
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#480—831no—
1092#476—831no—
1093#476—831no—
1094#474—831no—
1095#474—831no—
1096#469—831no—
1097#469—831no—
1098#468—831no—
1099#468C2×D8311yescharacteristic, complemented
1100#467—831no—
1101#467—831no—
1102#466—831no—
1103#466—831no—
1104#466—831no—
1105#466C2×D8311yescharacteristic, complemented
1106#465—831no—
1107#465—831no—
1108#465—831no—
1109#465—831no—
1110#465—831no—
1111#465—831no—
1112#464—831no—
1113#464—831no—
1114#463—831no—
1115#463—831no—
1116#463—831no—
1117#463—831no—
1118#463—831no—
1119#463C2×D8311yescharacteristic, complemented
1120#460—831no—
1121#460C2×D8311yescharacteristic, complemented
1122#459—831no—
1123#459—831no—
1124#452—831no—
1125#452—831no—
1126#452—831no—
1127#452—831no—
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#449C2×D8311yescharacteristic, complemented
1148#448C2×D8311yescharacteristic, complemented
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#447C2×D8311yescharacteristic, complemented
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#417—831no—
1180C2×#102—831no—
1181C2×#102—831no—
1182C2×#102—831no—
1183C2×#102—831no—
1184C2×#102—831no—
1185C2×#102—831no—
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, complemented
1202C22×Q8C22×D8311yescharacteristic
1203C22×D4—21no—
1204C22×D4—3322no—
1205C22×D4—3322no—
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×D4C22×D8311yescharacteristic
1224C22×D4C22×D8311yescharacteristic
1225C23×C4—831no—
1226AGL(1,ℤ/8)—42no—
1227AGL(1,ℤ/8)—3322no—
1228#135—3322no—
1229#135—3322no—
1230C2×Q16—831no—
1231C2×Q16—831no—
1232C2×SD16—42no—
1233C2×SD16—3322no—
1234C2×SD16—831no—
1235C2×SD16—831no—
1236C2×SD16—831no—
1237C2×SD16—831no—
1238C2×SD16—831no—
1239C2×SD16—831no—
1240C2×SD16C22×D8311yescharacteristic
1241C2×SD16C22×D8311yescharacteristic
1242C2×SD16C22×D8311yescharacteristic
1243C2×SD16C22×D8311yescharacteristic
1244C2×SD16C22×D8311yescharacteristic, complemented
1245C2×SD16C22×D8311yescharacteristic, complemented
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×D8C22×D8311yescharacteristic
1256C2×D8C22×D8311yescharacteristic
1257C2×D8C22×D8311yescharacteristic, complemented
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⋊Q8—831no—
1268#127—831no—
1269#127—1661no—
1270#127C22×D8311yescharacteristic
1271#126—1661no—
1272#126—1661no—
1273#125—1661no—
1274#125—1661no—
1275#124—21no—
1276#124—831no—
1277#124—831no—
1278#124—831no—
1279#124—1661no—
1280#124—1661no—
1281#124—1661no—
1282#124—1661no—
1283#124C22×D8311yescharacteristic, complemented
1284#123—831no—
1285#123—831no—
1286#123—1661no—
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—831no—
1301C22⋊Q8—831no—
1302C22⋊Q8—831no—
1303C22⋊Q8—831no—
1304C22⋊Q8—831no—
1305C22⋊Q8—831no—
1306C22⋊Q8—831no—
1307C22⋊Q8—831no—
1308C22⋊Q8—831no—
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⋊Q8—1661no—
1321C22⋊Q8—1661no—
1322C22⋊Q8C22×D8311yescharacteristic, complemented
1323#121—21no—
1324#121—21no—
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—1661no—
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#121C22×D8311yescharacteristic
1357#121C22×D8311yescharacteristic
1358#121C22×D8311yescharacteristic
1359#120—21no—
1360#120—21no—
1361#120—831no—
1362#120—831no—
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—831no—
1405C2×C4⋊C4—831no—
1406C2×C4⋊C4—1661no—
1407C2×C22⋊C4—1661no—
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#107—831no—
1419#107—831no—
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#103—831no—
1434#103—831no—
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#102—831no—
1456#102—831no—
1457#102C22×D8311yescharacteristic
1458#102C22×D8311yescharacteristic
1459#102C22×D8311yescharacteristic, complemented
1460#102C22×D8311yescharacteristic, complemented
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—21no—
1479C24—3324no—
1480C24—831no—
1481C24—6642no—
1482C24—6642no—
1483C24—1661no—
1484C24—1661no—
1485C24—1661no—
1486C24—1661no—
1487C24—1661no—
1488C24—1661no—
1489C24—1661no—
1490#41—41no—
1491#41—41no—
1492#41—3321no—
1493#41—3321no—
1494#41—3321no—
1495#41—3324no—
1496#41—3321no—
1497#41—3321no—
1498#41—3321no—
1499#41—3321no—
1500#41—3321no—
1501#41—6642no—
1502#41—6642no—
1503#41—1662no—
1504#41—1662no—
1505C2×Q8—21no—
1506C2×Q8—41no—
1507C2×Q8—41no—
1508C2×Q8—831no—
1509C2×Q8—831no—
1510C2×Q8—1661no—
1511C2×Q8—1661no—
1512C2×Q8C23×D8311yescharacteristic
1513C2×Q8C23×D8311yescharacteristic
1514C2×D4—22no—
1515C2×D4—22no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—41no—
1525C2×D4—41no—
1526C2×D4—82no—
1527C2×D4—3321no—
1528C2×D4—3324no—
1529C2×D4—3324no—
1530C2×D4—3324no—
1531C2×D4—3324no—
1532C2×D4—3324no—
1533C2×D4—3324no—
1534C2×D4—3321no—
1535C2×D4—3321no—
1536C2×D4—3321no—
1537C2×D4—3321no—
1538C2×D4—3321no—
1539C2×D4—3321no—
1540C2×D4—3321no—
1541C2×D4—831no—
1542C2×D4—831no—
1543C2×D4—831no—
1544C2×D4—831no—
1545C2×D4—831no—
1546C2×D4—831no—
1547C2×D4—831no—
1548C2×D4—831no—
1549C2×D4—831no—
1550C2×D4—6642no—
1551C2×D4—6642no—
1552C2×D4—6642no—
1553C2×D4—6642no—
1554C2×D4—1662no—
1555C2×D4—1661no—
1556C2×D4—1661no—
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—1662no—
1567C2×D4—1662no—
1568C2×D4—1662no—
1569C2×D4—1661no—
1570C2×D4—1661no—
1571C2×D4—1661no—
1572C2×D4—1661no—
1573C2×D4—1661no—
1574C2×D4—1662no—
1575C2×D4—1661no—
1576C2×D4—1661no—
1577C2×D4—1661no—
1578C2×D4—1661no—
1579C2×D4—1661no—
1580C2×D4—1662no—
1581C2×D4—1661no—
1582C2×D4D4×D8311yescharacteristic
1583C2×D4C23×D8311yescharacteristic
1584C2×D4C23×D8311yescharacteristic
1585C2×D4C23×D8311yescharacteristic
1586C2×D4C23×D8311yescharacteristic
1587C22×C4—21no—
1588C22×C4—21no—
1589C22×C4—21no—
1590C22×C4—3321no—
1591C22×C4—3321no—
1592C22×C4—831no—
1593C22×C4—831no—
1594C22×C4—831no—
1595C22×C4—831no—
1596C22×C4—831no—
1597C22×C4—831no—
1598C22×C4—1661no—
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—3321no—
1614Q16—3321no—
1615SD16—22no—
1616SD16—22no—
1617SD16—41no—
1618SD16—41no—
1619SD16—41no—
1620SD16—41no—
1621SD16—3321no—
1622SD16—3321no—
1623SD16—3321no—
1624SD16—3321no—
1625SD16—1662no—
1626SD16—1662no—
1627D8—22no—
1628D8—41no—
1629D8—41no—
1630D8—3321no—
1631D8—3321no—
1632D8—3321no—
1633D8—3321no—
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—831no—
1656C4⋊C4—831no—
1657C4⋊C4—831no—
1658C4⋊C4—831no—
1659C4⋊C4—831no—
1660C4⋊C4—831no—
1661C4⋊C4—831no—
1662C4⋊C4—831no—
1663C4⋊C4—831no—
1664C4⋊C4—1661no—
1665C4⋊C4—1661no—
1666C4⋊C4—1661no—
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⋊C4—1661no—
1677C4⋊C4—1661no—
1678C4⋊C4D4×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—21no—
1734C23—21no—
1735C23—42no—
1736C23—42no—
1737C23—42no—
1738C23—81no—
1739C23—81no—
1740C23—81no—
1741C23—3321no—
1742C23—3322no—
1743C23—3322no—
1744C23—3322no—
1745C23—3322no—
1746C23—3322no—
1747C23—3322no—
1748C23—3322no—
1749C23—3322no—
1750C23—3322no—
1751C23—831no—
1752C23—831no—
1753C23—831no—
1754C23—6641no—
1755C23—6641no—
1756C23—6641no—
1757C23—6641no—
1758C23—6641no—
1759C23—6641no—
1760C23—6641no—
1761C23—6641no—
1762C23—6641no—
1763C23—6641no—
1764C23—6641no—
1765C23—66416no—
1766C23—1662no—
1767C23—1664no—
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—21no—
1789D4—21no—
1790D4—21no—
1791D4—21no—
1792D4—42no—
1793D4—42no—
1794D4—42no—
1795D4—42no—
1796D4—81no—
1797D4—81no—
1798D4—81no—
1799D4—81no—
1800D4—3322no—
1801D4—3321no—
1802D4—3322no—
1803D4—3322no—
1804D4—3322no—
1805D4—3322no—
1806D4—3322no—
1807D4—3322no—
1808D4—3321no—
1809D4—3321no—
1810D4—3322no—
1811D4—3322no—
1812D4—3322no—
1813D4—832no—
1814D4—6641no—
1815D4—6641no—
1816D4—6641no—
1817D4—6641no—
1818D4—6641no—
1819D4—6641no—
1820D4—6641no—
1821D4—6641no—
1822D4—6641no—
1823D4—6641no—
1824D4—6641no—
1825D4—1662no—
1826D4—1662no—
1827D4—1664no—
1828D4—1662no—
1829D4—1661no—
1830D4—1661no—
1831D4—1661no—
1832D4—1661no—
1833D4—1661no—
1834D4#1458183712yes—
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—81no—
1844C2×C4—81no—
1845C2×C4—81no—
1846C2×C4—3322no—
1847C2×C4—3321no—
1848C2×C4—3321no—
1849C2×C4—3322no—
1850C2×C4—3322no—
1851C2×C4—3322no—
1852C2×C4—3321no—
1853C2×C4—831no—
1854C2×C4—831no—
1855C2×C4—831no—
1856C2×C4—831no—
1857C2×C4—831no—
1858C2×C4—6641no—
1859C2×C4—6641no—
1860C2×C4—6641no—
1861C2×C4—6641no—
1862C2×C4—6641no—
1863C2×C4—6641no—
1864C2×C4—6641no—
1865C2×C4—6641no—
1866C2×C4—6641no—
1867C2×C4—1661no—
1868C2×C4—1661no—
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—41no—
1903C22—41no—
1904C22—41no—
1905C22—41no—
1906C22—41no—
1907C22—41no—
1908C22—84no—
1909C22—162no—
1910C22—13282no—
1911C22—13282no—
1912C22—3324no—
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#1912850512yes—
1937C22C22×D4×D8311yescharacteristic
1938C4—21no—
1939C4—21no—
1940C4—21no—
1941C4—21no—
1942C4—41no—
1943C4—41no—
1944C4—41no—
1945C4—41no—
1946C4—3321no—
1947C4—3321no—
1948C4—3321no—
1949C4—3321no—
1950C4—3321no—
1951C4—1661no—
1952C4—1661no—
1953C4—1661no—
1954C4—1661no—
1955C4—1661no—
1956C4H(5,𝔽2)×D8311yescharacteristic
1957C4C2×#1458183711yescharacteristic
1958C2—22no—
1959C2—41no—
1960C2—42no—
1961C2—81no—
1962C2—81no—
1963C2—81no—
1964C2—3321no—
1965C2—3322no—
1966C2—3321no—
1967C2—6641no—
1968C2—6641no—
1969C2—1662no—
1970C2#2492109111yescharacteristic
1971C2C2×#1912850511yescharacteristic
1972C2#577×D8311yescharacteristic
subgroupG/H
centerC22C22×D4×D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC83×#3265C2
socleC22×C83C23×D4
hypercenter#3265D83
hypocenterC83#61629
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. #24921679C2semidirect
2. #24921091C2semidirect
3. #24919549C2semidirect
4. #24919539C2semidirect
5. #24919428C2semidirect
6. #24919426C2semidirect
7. #24919290C2semidirect
8. #24919280C2semidirect
9. #24919276C2semidirect
10. #24919271C2semidirect
11. #24919171C2semidirect
12. #24919170C2semidirect
13. #24919146C2semidirect
14. #24919143C2semidirect
15. #24918951C2semidirect
16. #24918942C2semidirect
17. #24918937C2semidirect
18. #24918562C2semidirect
19. #24918552C2semidirect
20. #24918316C2semidirect
21. #24918314C2semidirect
22. #24918241C2semidirect
23. #24918223C2semidirect
24. #24917651C2semidirect
25. #24917646C2semidirect
26. #24916768C2semidirect
27. #24916766C2semidirect
28. C2×#19127850C2semidirect
29. #447×D83C2semidirect
30. #24916514C2semidirect
31. C83×#3265C2semidirect
32. C2×#14581837C22semidirect
34. C2×#14581819C22semidirect
35. C2×#14581813C22semidirect
36. C2×#14581812C22semidirect
37. C22×#13050577C22semidirect
38. C2×D8×D83C22semidirect
39. C2×D8×D83C22semidirect
42. #19128411C22semidirect
43. #19128409C22semidirect
44. #19128362C22semidirect
45. #19128355C22semidirect
46. #19128351C22semidirect
48. #19128347C22semidirect
51. #19128345C22semidirect
52. #19128344C22semidirect
55. #19128339C22semidirect
58. #19128335C22semidirect
63. #19128323C22semidirect
64. #19128320C22semidirect
67. #19128281C22semidirect
68. #19128279C22semidirect
70. #19128267C22semidirect
71. #19128264C22semidirect
76. C2×#14581768C22semidirect
77. #121×D83C22semidirect
80. #19128173C22semidirect
81. #19128087C22semidirect
82. #19128083C22semidirect
83. #19128082C22semidirect
84. #19128061C22semidirect
85. #19128059C22semidirect
86. #19128047C22semidirect
87. #19128046C22semidirect
88. #19128040C22semidirect
89. #19128040C22semidirect
90. #19128038C22semidirect
91. #19128032C22semidirect
92. #19128028C22semidirect
93. #19128024C22semidirect
94. #19128020C22semidirect
95. #19128018C22semidirect
96. #19128018C22semidirect
97. #19128016C22semidirect
98. #19128012C22semidirect
99. #19128012C22semidirect
100. #19127992C22semidirect
101. #19127989C22semidirect
102. #19127981C22semidirect
103. #19127980C22semidirect
104. #19127954C22semidirect
105. #19127951C22semidirect
106. #19127950C22semidirect
107. #19127941C22semidirect
108. #19127941C22semidirect
109. #19127936C22semidirect
110. #19127935C22semidirect
111. #19127935C22semidirect
112. #19127932C22semidirect
113. #19127930C22semidirect
114. #19127928C22semidirect
115. #19127927C22semidirect
116. #19127927C22semidirect
117. #19127927C22semidirect
118. #19127923C22semidirect
119. #19127921C22semidirect
120. #19127919C22semidirect
121. #19127918C22semidirect
122. #19127917C22semidirect
123. #19127914C22semidirect
124. #19127913C22semidirect
125. #19127899C22semidirect
126. #19127894C22semidirect
127. #19127893C22semidirect
128. #19127861C22semidirect
129. #19127860C22semidirect
130. #19127860C22semidirect
131. #19127860C22semidirect
132. #19127857C22semidirect
133. #19127853C22semidirect
134. #19127850C22semidirect
135. #19127850C22semidirect
136. #19127850C22semidirect
137. #19127850C22semidirect
138. #19127850C22semidirect
139. #19127850C22semidirect
140. #19127850C22semidirect
141. #19127850C22semidirect
142. #19127850C22semidirect
143. #19127849C22semidirect
144. #19127848C22semidirect
145. #19127847C22semidirect
146. #19127846C22semidirect
147. #19127845C22semidirect
148. #19127843C22semidirect
149. #19127843C22semidirect
150. #19127837C22semidirect
152. #19127836C22semidirect
153. #19127835C22semidirect
154. #19127835C22semidirect
155. #19127834C22semidirect
157. #19127833C22semidirect
158. #19127833C22semidirect
159. #19127833C22semidirect
160. #19127814C22semidirect
161. #19127813C22semidirect
162. #19127804C22semidirect
163. SD16×Dic83C22semidirect
164. C4×#13050577C22semidirect
165. C4×#13050575C22semidirect
166. #19127781C22semidirect
167. #19127774C22semidirect
168. #19127770C22semidirect
169. #19127769C22semidirect
170. D4×C83⋊C8C22semidirect
171. #19127766C22semidirect
172. C8×C22⋊D83C22semidirect
173. (C22⋊D83)⋊C8C22semidirect
174. #19127763C22semidirect
175. #19127761C22semidirect
176. #19127703C22semidirect
177. #19127699C22semidirect
178. C2×#14581714C22semidirect
179. C2×#14581713C22semidirect
180. C2×#14581713C22semidirect
181. #102×D83C22semidirect
182. #102×D83C22semidirect
183. #102×D83C22semidirect
184. #19127669C22semidirect
185. #19127666C22semidirect
186. C2×(C2×D83)⋊C8C22semidirect
187. C22⋊C8×D83C22semidirect
188. C2×AGL(1,ℤ/8)×C83C22semidirect
189. C22×SD16×C83C22semidirect
190. #548×C83C22semidirect
191. D42×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
206. C2×#13050591C23semidirect
237. C2×#13050580C23semidirect
238. C2×#13050580C23semidirect
239. C2×#13050579C23semidirect
240. C2×#13050578C23semidirect
252. C2×#13050575C23semidirect
255. C2×#13050573C23semidirect
257. C22×C83⋊C8C23semidirect
260. C2×C8×D83C23semidirect
261. #14581792C23semidirect
262. #14581791C23semidirect
270. #14581781C23semidirect
312. #14581768C23semidirect
321. #14581766C23semidirect
343. #14581763C23semidirect
363. Q8×Dic83C23semidirect
367. C4×D332C23semidirect
370. D4×Dic83C23semidirect
382. C2×C4⋊Dic83C23semidirect
385. C4⋊C4×D83C23semidirect
396. #14581725C23semidirect
397. #14581725C23semidirect
398. #14581725C23semidirect
399. #14581724C23semidirect
400. #14581724C23semidirect
401. #14581724C23semidirect
402. #14581723C23semidirect
403. C4⋊(C83⋊C8)C23semidirect
404. Dic83⋊C8C23semidirect
405. Dic83⋊C8C23semidirect
406. #14581717C23semidirect
407. #14581717C23semidirect
408. #14581717C23semidirect
409. #14581716C23semidirect
410. #14581716C23semidirect
411. #14581715C23semidirect
418. #14581714C23semidirect
425. #14581713C23semidirect
426. #14581713C23semidirect
427. #14581713C23semidirect
428. #14581713C23semidirect
431. #14581712C23semidirect
433. C22⋊(C83⋊C8)C23semidirect
440. (C2×D83)⋊C8C23semidirect
441. (C2×D83)⋊C8C23semidirect
442. #14581702C23semidirect
443. C4×C83⋊C8C23semidirect
444. C8×Dic83C23semidirect
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
1002. #3265D83semidirect
1018. C83#61629semidirect
1022. C2×AGL(1,ℤ/8)C2×D83semidirect
1026. C22×SD16C2×D83semidirect
1034. #548C2×D83semidirect
1052. D42C2×D83semidirect
1073. #496C2×D83semidirect
1099. #468C2×D83semidirect
1105. #466C2×D83semidirect
1119. #463C2×D83semidirect
1121. #460C2×D83semidirect
1139. #450C2×D83semidirect
1147. #449C2×D83semidirect
1148. #448C2×D83semidirect
1159. #447C2×D83semidirect
1163. #440C2×D83semidirect
1171. #435C2×D83semidirect
1201. C2×#41C22×D83semidirect
1244. C2×SD16C22×D83semidirect
1245. C2×SD16C22×D83semidirect
1257. C2×D8C22×D83semidirect
1259. C2×M16C22×D83semidirect
1283. #124C22×D83semidirect
1322. C22⋊Q8C22×D83semidirect
1381. C4×Q8C22×D83semidirect
1420. #107C22×D83semidirect
1428. C4⋊C8C22×D83semidirect
1435. #103C22×D83semidirect
1436. #103C22×D83semidirect
1459. #102C22×D83semidirect
1460. #102C22×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
#249216792
#249210912
#249195492
#249195392
#249194282
#249194262
#249192902
#249192802
#249192762
#249192712
#249191712
#249191702
#249191462
#249191432
#249189512
#249189422
#249189372
#249185622
#249185522
#249183162
#249183142
#249182412
#249182232
#249176512
#249176462
#249167682
#249167662
C2×#191278502
#447×D832
#249165142
C83×#32652
#6162983