Finite Group Databasebeta

← #36290473

Subgroups — #36290473

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#24921688C211yesmaximal, characteristic, complemented
2#24921097C211yesmaximal, characteristic, complemented
3#24919551C211yesmaximal, characteristic, complemented
4#24919543C211yesmaximal, characteristic, complemented
5#24919431C211yesmaximal, characteristic, complemented
6#24919423C211yesmaximal, characteristic, complemented
7#24919290C211yesmaximal, characteristic, complemented
8#24919286C211yesmaximal, characteristic, complemented
9#24919279C211yesmaximal, characteristic, complemented
10#24919275C211yesmaximal, characteristic, complemented
11#24919169C211yesmaximal, characteristic, complemented
12#24919165C211yesmaximal, characteristic, complemented
13#24919147C211yesmaximal, characteristic, complemented
14#24919143C211yesmaximal, characteristic, complemented
15#24918957C211yesmaximal, characteristic, complemented
16#24918953C211yesmaximal, characteristic, complemented
17#24918942C211yesmaximal, characteristic, complemented
18#24918938C211yesmaximal, characteristic, complemented
19#24918557C211yesmaximal, characteristic, complemented
20#24918319C211yesmaximal, characteristic, complemented
21#24918311C211yesmaximal, characteristic, complemented
22#24918242C211yesmaximal, characteristic, complemented
23#24918226C211yesmaximal, characteristic, complemented
24#24917649C211yesmaximal, characteristic, complemented
25#24917641C211yesmaximal, characteristic, complemented
26#24916771C211yesmaximal, characteristic, complemented
27#24916765C211yesmaximal, characteristic, complemented
28#450×D83C211yesmaximal, characteristic, complemented
29#447×D83C211yesmaximal, characteristic, complemented
30#24916518C211yesmaximal, characteristic, complemented
31C83×#3224C211yesmaximal, characteristic, complemented
32C2×#14581838C2211yescharacteristic, complemented
33C22×D4×D83C2211yescharacteristic
34C2×#14581819C2211yescharacteristic, complemented
35C2×#14581816C2211yescharacteristic, complemented
36C2×#14581815C2211yescharacteristic, complemented
37C2×#14581813C2211yescharacteristic, complemented
38C2×SD16×D83C2211yescharacteristic, complemented
39C2×SD16×D83C2211yescharacteristic, complemented
40C2×D8×D83C2211yescharacteristic, complemented
41C2×D8×D83C2211yescharacteristic, complemented
42#19128448—21no—
43#19128445—21no—
44#19128412C2211yescharacteristic, complemented
45#19128411C2211yescharacteristic, complemented
46#19128363C2211yescharacteristic, complemented
47#19128359C2211yescharacteristic, complemented
48#19128356C2211yescharacteristic, complemented
49#19128354C2211yescharacteristic, complemented
50#19128348—21no—
51#19128348—21no—
52#19128346C2211yescharacteristic, complemented
53#19128344—21no—
54#19128344C2211yescharacteristic
55#19128344C2211yescharacteristic
56#19128344C2211yescharacteristic, complemented
57#19128344C2211yescharacteristic, complemented
58#19128344C2211yescharacteristic, complemented
59#19128343—21no—
60#19128336C2211yescharacteristic
61#19128336C2211yescharacteristic
62#19128336C2211yescharacteristic, complemented
63#19128336C2211yescharacteristic, complemented
64#19128335—21no—
65#19128335—21no—
66#19128326—21no—
67#19128322C2211yescharacteristic, complemented
68#19128292—21no—
69#19128290—21no—
70#19128281—21no—
71#19128281C2211yescharacteristic, complemented
72#19128280C2211yescharacteristic, complemented
73#19128268C2211yescharacteristic, complemented
74#19128261—21no—
75#19128261—21no—
76#19128213C2211yescharacteristic
77#19128208C2211yescharacteristic
78C22⋊Q8×D83C2211yescharacteristic, complemented
79#121×D83C2211yescharacteristic, complemented
80#120×D83—21no—
81#120×D83—21no—
82#19128175C2211yescharacteristic, complemented
83#19128088C2211yescharacteristic, complemented
84#19128083C2211yescharacteristic, complemented
85#19128060C2211yescharacteristic, complemented
86#19128047C2211yescharacteristic, complemented
87#19128043C2211yescharacteristic, complemented
88#19128039C2211yescharacteristic, complemented
89#19128035C2211yescharacteristic, complemented
90#19128030C2211yescharacteristic, complemented
91#19128026C2211yescharacteristic, complemented
92#19128022C2211yescharacteristic, complemented
93#19128018C2211yescharacteristic, complemented
94#19128018C2211yescharacteristic, complemented
95#19128018C2211yescharacteristic, complemented
96#19128013C2211yescharacteristic, complemented
97#19128013C2211yescharacteristic, complemented
98#19128013C2211yescharacteristic, complemented
99#19127992C2211yescharacteristic, complemented
100#19127988C2211yescharacteristic, complemented
101#19127982C2211yescharacteristic, complemented
102#19127978C2211yescharacteristic, complemented
103#19127953C2211yescharacteristic, complemented
104#19127951C2211yescharacteristic, complemented
105#19127946C2211yescharacteristic, complemented
106#19127944C2211yescharacteristic, complemented
107#19127941C2211yescharacteristic, complemented
108#19127939C2211yescharacteristic, complemented
109#19127936C2211yescharacteristic, complemented
110#19127936C2211yescharacteristic, complemented
111#19127934C2211yescharacteristic, complemented
112#19127934C2211yescharacteristic, complemented
113#19127933C2211yescharacteristic, complemented
114#19127929C2211yescharacteristic, complemented
115#19127929C2211yescharacteristic, complemented
116#19127927C2211yescharacteristic, complemented
117#19127927C2211yescharacteristic, complemented
118#19127927C2211yescharacteristic, complemented
119#19127920C2211yescharacteristic, complemented
120#19127917C2211yescharacteristic, complemented
121#19127917C2211yescharacteristic, complemented
122#19127913C2211yescharacteristic, complemented
123#19127913C2211yescharacteristic, complemented
124#19127913C2211yescharacteristic, complemented
125#19127898C2211yescharacteristic, complemented
126#19127893C2211yescharacteristic, complemented
127#19127866C2211yescharacteristic, complemented
128#19127863C2211yescharacteristic, complemented
129#19127862C2211yescharacteristic, complemented
130#19127855C2211yescharacteristic, complemented
131#19127854C2211yescharacteristic, complemented
132#19127853C2211yescharacteristic, complemented
133#19127853C2211yescharacteristic, complemented
134#19127853C2211yescharacteristic, complemented
135#19127852C2211yescharacteristic, complemented
136#19127851C2211yescharacteristic, complemented
137#19127850C2211yescharacteristic, complemented
138#19127850C2211yescharacteristic, complemented
139#19127850C2211yescharacteristic, complemented
140#19127850C2211yescharacteristic, complemented
141#19127849C2211yescharacteristic, complemented
142#19127846C2211yescharacteristic, complemented
143#19127845C2211yescharacteristic, complemented
144#19127845C2211yescharacteristic, complemented
145#19127845C2211yescharacteristic, complemented
146#19127843C2211yescharacteristic, complemented
147#19127843C2211yescharacteristic, complemented
148#19127838C2211yescharacteristic, complemented
149#19127837C2211yescharacteristic
150#19127836C2211yescharacteristic, complemented
151#19127836C2211yescharacteristic, complemented
152#19127836C2211yescharacteristic, complemented
153#19127835C2211yescharacteristic, complemented
154#19127834C2211yescharacteristic
155#19127833C2211yescharacteristic, complemented
156#19127833C2211yescharacteristic, complemented
157#19127833C2211yescharacteristic, complemented
158#19127833C2211yescharacteristic, complemented
159#19127814C2211yescharacteristic, complemented
160#19127811C2211yescharacteristic, complemented
161#19127803C2211yescharacteristic, complemented
162#19127799C2211yescharacteristic, complemented
163C4×#13050579C2211yescharacteristic, complemented
164C4×#13050577C2211yescharacteristic, complemented
165C4×D664C2211yescharacteristic, complemented
166C4×#13050575C2211yescharacteristic, complemented
167#19127774C2211yescharacteristic, complemented
168#19127774C2211yescharacteristic, complemented
169#19127771C2211yescharacteristic, complemented
170#19127771C2211yescharacteristic, complemented
171C8×D332C2211yescharacteristic, complemented
172C8×D332C2211yescharacteristic, complemented
173#19127766C2211yescharacteristic, complemented
174#19127766C2211yescharacteristic, complemented
175#19127762C2211yescharacteristic, complemented
176#19127701C2211yescharacteristic, complemented
177#19127701C2211yescharacteristic, complemented
178#102×D83C2211yescharacteristic, complemented
179#102×D83C2211yescharacteristic, complemented
180#102×D83C2211yescharacteristic, complemented
181#102×D83C2211yescharacteristic, complemented
182#102×D83C2211yescharacteristic, complemented
183#102×D83C2211yescharacteristic, complemented
184#19127666C2211yescharacteristic, complemented
185#19127666C2211yescharacteristic, complemented
186C22⋊C8×D83C2211yescharacteristic, complemented
187C22⋊C8×D83C2211yescharacteristic, complemented
188#542×C83C2211yescharacteristic, complemented
189#535×C83C2211yescharacteristic, complemented
190#496×C83C2211yescharacteristic, complemented
191#495×C83C2211yescharacteristic, complemented
192#489×C83C2211yescharacteristic, complemented
193#486×C83C2211yescharacteristic, complemented
194#464×C83C2211yescharacteristic, complemented
195#463×C83C2211yescharacteristic, complemented
196#460×C83C2211yescharacteristic, complemented
197#459×C83C2211yescharacteristic, complemented
198#452×C83C2211yescharacteristic, complemented
199#450×C83C2211yescharacteristic, complemented
200#449×C83C2211yescharacteristic, complemented
201#447×C83C2211yescharacteristic, complemented
202#433×C83C2211yescharacteristic, complemented
203C24×D83—21no—
204#14581838—42no—
205#14581838—42no—
206C2×#13050591—21no—
207C2×#13050591C2311yescharacteristic
208C2×#13050591C2311yescharacteristic
209C2×#13050591C2311yescharacteristic, complemented
210C2×#13050590—21no—
211C2×#13050590—21no—
212C2×#13050590C2311yescharacteristic
213C2×#13050589C2311yescharacteristic, complemented
214C2×Q8×D83C2311yescharacteristic
215C22×D332—21no—
216C22×D332C2311yescharacteristic
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—21no—
224C2×D4×D83—21no—
225C2×D4×D83—21no—
226C2×D4×D83—21no—
227C2×D4×D83—42no—
228C2×D4×D83—42no—
229C2×D4×D83C2311yescharacteristic
230C2×D4×D83C2311yescharacteristic
231C2×D4×D83C2311yescharacteristic
232C2×D4×D83C2311yescharacteristic
233C2×D4×D83C2311yescharacteristic
234C2×D4×D83C2311yescharacteristic
235C2×D4×D83C2311yescharacteristic
236C22×C4×D83C2311yescharacteristic
237#14581819—42no—
238#14581816—42no—
239#14581815—42no—
240#14581813—42no—
241C2×#13050580C2311yescharacteristic, complemented
242C2×#13050579C2311yescharacteristic
243C2×#13050579C2311yescharacteristic
244C2×#13050578C2311yescharacteristic
245C2×#13050578C2311yescharacteristic
246C2×#13050578C2311yescharacteristic, complemented
247C2×#13050577C2311yescharacteristic
248C2×#13050577C2311yescharacteristic
249C2×#13050577C2311yescharacteristic, complemented
250SD16×D83—42no—
251SD16×D83—42no—
252C2×D664C2311yescharacteristic
253C2×D664C2311yescharacteristic
254C2×#13050575C2311yescharacteristic
255C2×#13050575C2311yescharacteristic
256C2×#13050575C2311yescharacteristic
257C2×#13050575C2311yescharacteristic
258C2×#13050575C2311yescharacteristic, complemented
259D8×D83—42no—
260D8×D83—42no—
261C2×#13050573C2311yescharacteristic, complemented
262C2×#13050573C2311yescharacteristic, complemented
263C2×C8×D83C2311yescharacteristic
264C2×C8×D83C2311yescharacteristic
265C2×C8×D83C2311yescharacteristic
266C2×C8×D83C2311yescharacteristic
267C2×C8×D83C2311yescharacteristic, complemented
268C2×C8×D83C2311yescharacteristic, complemented
269#14581792C2311yescharacteristic, complemented
270#14581788—21no—
271#14581787—21no—
272#14581784—21no—
273#14581783—21no—
274#14581780—21no—
275#14581780C2311yescharacteristic, complemented
276#14581779—21no—
277#14581778—21no—
278#14581778—21no—
279#14581777—21no—
280#14581777—21no—
281#14581776—21no—
282#14581776D411yescharacteristic
283#14581776D411yescharacteristic
284#14581774—21no—
285#14581774—21no—
286#14581774—21no—
287#14581774—21no—
288#14581774—21no—
289#14581774—21no—
290#14581774—21no—
291#14581774—21no—
292#14581773—21no—
293#14581772—21no—
294#14581772D411yescharacteristic
295#14581772D411yescharacteristic
296#14581772C2311yescharacteristic
297#14581772C2311yescharacteristic, complemented
298#14581771—21no—
299#14581771C2311yescharacteristic
300#14581770—21no—
301#14581770—21no—
302#14581770—21no—
303#14581770—21no—
304#14581770—21no—
305#14581769—21no—
306#14581769—21no—
307#14581769—21no—
308#14581768—21no—
309#14581768—21no—
310#14581768—21no—
311#14581768C2311yescharacteristic
312#14581768C2311yescharacteristic
313#14581768C2311yescharacteristic
314#14581768C2311yescharacteristic, complemented
315#14581767—21no—
316#14581767—21no—
317#14581767D411yescharacteristic
318#14581767D411yescharacteristic
319#14581767C2311yescharacteristic
320#14581767C2311yescharacteristic, complemented
321#14581766—21no—
322#14581766C2311yescharacteristic
323#14581765—21no—
324#14581765—21no—
325#14581765—21no—
326#14581765—21no—
327#14581765—21no—
328#14581765—21no—
329#14581765—21no—
330#14581765—21no—
331#14581765—21no—
332#14581765—21no—
333#14581764—21no—
334#14581764—21no—
335#14581763—21no—
336#14581763—21no—
337#14581763—21no—
338#14581763—21no—
339#14581763—21no—
340#14581763C2311yescharacteristic
341#14581763C2311yescharacteristic
342#14581763C2311yescharacteristic
343#14581763C2311yescharacteristic
344#14581763C2311yescharacteristic
345#14581763C2311yescharacteristic
346#14581763C2311yescharacteristic
347#14581763C2311yescharacteristic, complemented
348#14581762—21no—
349#14581762—21no—
350#14581762—21no—
351#14581762—21no—
352#14581762—21no—
353#14581762—21no—
354#14581762D411yescharacteristic
355#14581762D411yescharacteristic
356#14581761—21no—
357#14581761—21no—
358#14581760—21no—
359#14581760—21no—
360#14581760—21no—
361#14581760—21no—
362#14581760—21no—
363#14581760—21no—
364#14581760—21no—
365#14581760—21no—
366#14581760—21no—
367C4×Dic166C2311yescharacteristic, complemented
368C4×D332—21no—
369C4×D332—21no—
370C4×D332C2311yescharacteristic
371C4×D332C2311yescharacteristic
372C4×D332C2311yescharacteristic
373C4×D332C2311yescharacteristic
374C4×D332C2311yescharacteristic
375C4×D332C2311yescharacteristic
376C4×D332C2311yescharacteristic
377C4×D332C2311yescharacteristic
378C4×D332C2311yescharacteristic, complemented
379#14581754—21no—
380#14581754—21no—
381#14581754—21no—
382C4×C22⋊D83—21no—
383C4×C22⋊D83—21no—
384(C22⋊D83)⋊C4—21no—
385#14581751C2311yescharacteristic
386C4⋊C4×D83—21no—
387C4⋊C4×D83C2311yescharacteristic
388C4⋊C4×D83C2311yescharacteristic
389C4⋊C4×D83C2311yescharacteristic, complemented
390C4⋊C4×D83C2311yescharacteristic, complemented
391C2×(C2×D83)⋊C4—21no—
392C22⋊C4×D83—21no—
393C22⋊C4×D83—21no—
394C22⋊C4×D83—21no—
395C22⋊C4×D83—21no—
396C22⋊C4×D83—21no—
397C22⋊C4×D83—21no—
398C22⋊C4×D83—21no—
399C22⋊C4×D83—21no—
400C22⋊C4×D83—21no—
401#14581726C2311yescharacteristic, complemented
402#14581726C2311yescharacteristic, complemented
403#14581725C2311yescharacteristic, complemented
404#14581725C2311yescharacteristic, complemented
405#14581724C2311yescharacteristic, complemented
406#14581724C2311yescharacteristic, complemented
407#14581723C2311yescharacteristic, complemented
408#14581723C2311yescharacteristic, complemented
409C4⋊(C83⋊C8)C2311yescharacteristic, complemented
410C4⋊(C83⋊C8)C2311yescharacteristic, complemented
411#14581717C2311yescharacteristic, complemented
412#14581717C2311yescharacteristic, complemented
413#14581716C2311yescharacteristic, complemented
414#14581716C2311yescharacteristic, complemented
415#14581716C2311yescharacteristic, complemented
416#14581716C2311yescharacteristic, complemented
417#14581714C2311yescharacteristic
418#14581714C2311yescharacteristic
419#14581714C2311yescharacteristic
420#14581714C2311yescharacteristic
421#14581714C2311yescharacteristic, complemented
422#14581714C2311yescharacteristic, complemented
423#14581713C2311yescharacteristic
424#14581713C2311yescharacteristic
425#14581713C2311yescharacteristic
426#14581713C2311yescharacteristic
427#14581713C2311yescharacteristic, complemented
428#14581713C2311yescharacteristic, complemented
429#14581713C2311yescharacteristic, complemented
430#14581713C2311yescharacteristic, complemented
431#14581712C2311yescharacteristic
432#14581712C2311yescharacteristic
433#14581712C2311yescharacteristic
434#14581712C2311yescharacteristic
435C22⋊(C83⋊C8)C2311yescharacteristic
436C22⋊(C83⋊C8)C2311yescharacteristic
437(C2×D83)⋊C8C2311yescharacteristic
438(C2×D83)⋊C8C2311yescharacteristic
439(C2×D83)⋊C8C2311yescharacteristic
440(C2×D83)⋊C8C2311yescharacteristic
441(C2×D83)⋊C8C2311yescharacteristic, complemented
442(C2×D83)⋊C8C2311yescharacteristic, complemented
443(C2×D83)⋊C8C2311yescharacteristic, complemented
444(C2×D83)⋊C8C2311yescharacteristic, complemented
445#14581703C2311yescharacteristic, complemented
446C4×C83⋊C8C2311yescharacteristic, complemented
447C2×#41×C83C2311yescharacteristic
448C22×D4×C83C2311yescharacteristic
449C2×Q16×C83C2311yescharacteristic, complemented
450C2×SD16×C83C2311yescharacteristic
451C2×SD16×C83C2311yescharacteristic
452C2×SD16×C83C2311yescharacteristic, complemented
453C2×SD16×C83C2311yescharacteristic, complemented
454C2×D8×C83C2311yescharacteristic
455C2×D8×C83C2311yescharacteristic
456C2×D8×C83C2311yescharacteristic, complemented
457C4⋊Q8×C83C2311yescharacteristic, complemented
458#127×C83C2311yescharacteristic
459#127×C83C2311yescharacteristic
460#126×C83—21no—
461#124×C83—21no—
462#124×C83C2311yescharacteristic
463#124×C83C2311yescharacteristic
464#124×C83C2311yescharacteristic, complemented
465#123×C83—21no—
466C22⋊Q8×C83—21no—
467C22⋊Q8×C83C2311yescharacteristic
468#121×C83—21no—
469#121×C83—21no—
470#121×C83C2311yescharacteristic
471#120×C83—21no—
472#120×C83—21no—
473C4×Q8×C83C2311yescharacteristic, complemented
474C4×D4×C83C2311yescharacteristic, complemented
475#117×C83C2311yescharacteristic
476C4⋊C8×C83C2311yescharacteristic, complemented
477C4⋊C8×C83C2311yescharacteristic, complemented
478#103×C83C2311yescharacteristic, complemented
479#103×C83C2311yescharacteristic, complemented
480#102×C83C2311yescharacteristic
481#102×C83C2311yescharacteristic
482#102×C83C2311yescharacteristic
483#102×C83C2311yescharacteristic
484#102×C83C2311yescharacteristic, complemented
485#102×C83C2311yescharacteristic, complemented
486C22⋊C8×C83C2311yescharacteristic
487C22⋊C8×C83C2311yescharacteristic
488#97×C83C2311yescharacteristic, complemented
489C4×C8×C83C2311yescharacteristic, complemented
490C23×D83—21no—
491C23×D83—21no—
492C23×D83—21no—
493C23×D83—21no—
494C23×D83—21no—
495C23×D83—21no—
496C23×D83—21no—
497C23×D83—21no—
498C23×D83—44no—
499C23×D83—82no—
500C23×D83—82no—
501C23×D83C2×D411yescharacteristic
502#13050591—22no—
503#13050591—22no—
504#13050591—41no—
505#13050591—41no—
506#13050591—41no—
507#13050591—41no—
508#13050591—82no—
509#13050590—41no—
510#13050590—41no—
511#13050590—44no—
512#13050590—82no—
513#13050589—41no—
514#13050589—41no—
515C2×Dic166—21no—
516C2×Dic166—21no—
517C2×Dic166C2×D411yescharacteristic
518C2×Dic166C2411yescharacteristic
519Q8×D83—41no—
520Q8×D83—41no—
521C2×D332—21no—
522C2×D332—22no—
523C2×D332—22no—
524C2×D332—21no—
525C2×D332—21no—
526C2×D332—21no—
527C2×D332—21no—
528C2×D332—21no—
529C2×D332—44no—
530C2×D332C2×D411yescharacteristic
531C2×D332C2×D411yescharacteristic
532C2×D332C2×D411yescharacteristic
533C2×D332C2×D411yescharacteristic
534C2×D332C2×D411yescharacteristic
535C2×D332C2411yescharacteristic
536C2×D332C2411yescharacteristic
537C2×D332C2411yescharacteristic
538C2×C22⋊D83—21no—
539C2×C22⋊D83—21no—
540C2×C22⋊D83—21no—
541C2×C22⋊D83—21no—
542C2×C22⋊D83—21no—
543C2×C22⋊D83—21no—
544C2×C22⋊D83—21no—
545C2×C22⋊D83—21no—
546C2×C22⋊D83—21no—
547C2×C22⋊D83—21no—
548C2×C22⋊D83—21no—
549C2×C22⋊D83—21no—
550C2×C22⋊D83—21no—
551C2×C22⋊D83—21no—
552C2×C22⋊D83—21no—
553C2×C22⋊D83—21no—
554C2×C22⋊D83—21no—
555C2×C22⋊D83—44no—
556C2×C22⋊D83C2×D411yescharacteristic
557C2×C22⋊D83C2×D411yescharacteristic
558D4×D83—22no—
559D4×D83—22no—
560D4×D83—22no—
561D4×D83—22no—
562D4×D83—22no—
563D4×D83—22no—
564D4×D83—41no—
565D4×D83—41no—
566D4×D83—41no—
567D4×D83—41no—
568D4×D83—41no—
569D4×D83—41no—
570D4×D83—41no—
571D4×D83—41no—
572D4×D83—44no—
573D4×D83—44no—
574D4×D83—44no—
575D4×D83—44no—
576D4×D83—82no—
577D4×D83—82no—
578D4×D83—82no—
579D4×D83—82no—
580D4×D83—82no—
581C22×Dic83—21no—
582C22×Dic83C2×D411yescharacteristic
583C2×C4×D83—21no—
584C2×C4×D83—21no—
585C2×C4×D83—21no—
586C2×C4×D83—21no—
587C2×C4×D83—21no—
588C2×C4×D83—21no—
589C2×C4×D83—21no—
590C2×C4×D83—21no—
591C2×C4×D83—21no—
592C2×C4×D83—21no—
593C2×C4×D83—21no—
594C2×C4×D83—21no—
595C2×C4×D83—21no—
596C2×C4×D83—41no—
597C2×C4×D83—41no—
598C2×C4×D83C2×D411yescharacteristic
599C2×C4×D83C2×D411yescharacteristic
600C2×C4×D83C2411yescharacteristic
601C2×C4×D83C2411yescharacteristic
602C2×C4×D83C2411yescharacteristic
603C2×C4×D83C2411yescharacteristic
604#13050580—41no—
605#13050579—22no—
606#13050579—22no—
607#13050578—41no—
608#13050578—41no—
609#13050578—41no—
610#13050577—22no—
611#13050577—22no—
612#13050577—41no—
613D664—22no—
614D664—22no—
615#13050575—22no—
616#13050575—22no—
617#13050575—41no—
618#13050575—41no—
619#13050575—41no—
620#13050573—41no—
621#13050573—41no—
622C2×C83⋊C8C2411yescharacteristic
623C2×C83⋊C8C2411yescharacteristic
624C2×C83⋊C8C2411yescharacteristic
625C2×C83⋊C8C2411yescharacteristic
626C8×D83—41no—
627C8×D83—41no—
628C8×D83—41no—
629C8×D83—41no—
630C8×D83—41no—
631C8×D83—41no—
632C4⋊Dic83—21no—
633C4⋊Dic83—21no—
634C4⋊Dic83—21no—
635C4⋊Dic83C2×D411yescharacteristic
636C4⋊Dic83C2×D411yescharacteristic
637C4⋊Dic83C2×D411yescharacteristic
638C4⋊Dic83C2×D411yescharacteristic
639C4⋊Dic83C2411yescharacteristic
640C4⋊Dic83C2411yescharacteristic
641C4⋊Dic83C2411yescharacteristic
642C4⋊Dic83C2411yescharacteristic
643Dic83⋊C4—21no—
644Dic83⋊C4—21no—
645Dic83⋊C4—21no—
646Dic83⋊C4—21no—
647Dic83⋊C4—21no—
648Dic83⋊C4—21no—
649Dic83⋊C4—21no—
650Dic83⋊C4—21no—
651Dic83⋊C4—21no—
652Dic83⋊C4—21no—
653C22⋊Dic83—21no—
654C22⋊Dic83—21no—
655C22⋊Dic83—21no—
656C22⋊Dic83—21no—
657C22⋊Dic83—21no—
658C22⋊Dic83—21no—
659C22⋊Dic83—21no—
660C22⋊Dic83—21no—
661C22⋊Dic83—21no—
662C22⋊Dic83—21no—
663(C2×D83)⋊C4—21no—
664(C2×D83)⋊C4—21no—
665(C2×D83)⋊C4—21no—
666(C2×D83)⋊C4—21no—
667(C2×D83)⋊C4—21no—
668(C2×D83)⋊C4—21no—
669(C2×D83)⋊C4—21no—
670(C2×D83)⋊C4—21no—
671(C2×D83)⋊C4—21no—
672(C2×D83)⋊C4—21no—
673(C2×D83)⋊C4—21no—
674(C2×D83)⋊C4—21no—
675(C2×D83)⋊C4—21no—
676(C2×D83)⋊C4—21no—
677(C2×D83)⋊C4—21no—
678(C2×D83)⋊C4—21no—
679(C2×D83)⋊C4C2×D411yescharacteristic
680(C2×D83)⋊C4C2×D411yescharacteristic
681(C2×D83)⋊C4C2×D411yescharacteristic
682(C2×D83)⋊C4C2×D411yescharacteristic
683(C2×D83)⋊C4C2×D411yescharacteristic
684(C2×D83)⋊C4C2×D411yescharacteristic
685(C2×D83)⋊C4C2×D411yescharacteristic
686(C2×D83)⋊C4C2×D411yescharacteristic
687C4×Dic83—21no—
688C4×Dic83—21no—
689C24×C83—21no—
690#41×C83—41no—
691#41×C83—41no—
692C2×Q8×C83—21no—
693C2×Q8×C83C2411yescharacteristic
694C2×Q8×C83C2411yescharacteristic
695C2×D4×C83—21no—
696C2×D4×C83—21no—
697C2×D4×C83—21no—
698C2×D4×C83—21no—
699C2×D4×C83—21no—
700C2×D4×C83—21no—
701C2×D4×C83—21no—
702C2×D4×C83—41no—
703C2×D4×C83—41no—
704C2×D4×C83C2411yescharacteristic
705C2×D4×C83C2411yescharacteristic
706C2×D4×C83C2411yescharacteristic
707C2×D4×C83C2411yescharacteristic
708C22×C4×C83—21no—
709C22×C4×C83—21no—
710C22×C4×C83C2411yescharacteristic
711Q16×C83—41no—
712SD16×C83—41no—
713SD16×C83—41no—
714SD16×C83—41no—
715SD16×C83—41no—
716D8×C83—41no—
717D8×C83—41no—
718D8×C83—41no—
719C2×C8×C83C2411yescharacteristic
720C2×C8×C83C2411yescharacteristic
721C2×C8×C83C2411yescharacteristic
722C2×C8×C83C2411yescharacteristic
723C4⋊C4×C83—21no—
724C4⋊C4×C83—21no—
725C4⋊C4×C83—21no—
726C4⋊C4×C83C2×D411yescharacteristic
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×C83—21no—
738C22⋊C4×C83—21no—
739C22⋊C4×C83C2×D411yescharacteristic
740C22⋊C4×C83C2×D411yescharacteristic
741C42×C83—21no—
742C42×C83C2411yescharacteristic
743C42×C83C2411yescharacteristic
744C23×C83—21no—
745C23×C83—21no—
746C23×C83—21no—
747C23×C83—21no—
748C23×C83—42no—
749C23×C83—81no—
750C23×C83—81no—
751C23×C83C22×D411yescharacteristic
752C22×D83—21no—
753C22×D83—21no—
754C22×D83—24no—
755C22×D83—22no—
756C22×D83—22no—
757C22×D83—21no—
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—42no—
768C22×D83—42no—
769C22×D83—42no—
770C22×D83—81no—
771C22×D83—81no—
772C22×D83—81no—
773C22×D83—81no—
774C22×D83—81no—
775C22×D83—81no—
776C22×D83—81no—
777C22×D83—81no—
778C22×D83—81no—
779C22×D83—81no—
780C22×D83—81no—
781C22×D83—81no—
782C22×D83—816no—
783C22×D83C22×D411yescharacteristic
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—21no—
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—81no—
803D4×C83—81no—
804D4×C83—81no—
805D4×C83—81no—
806D4×C83—81no—
807C2×C4×C83—21no—
808C2×C4×C83—21no—
809C2×C4×C83—21no—
810C2×C4×C83—21no—
811C2×C4×C83—21no—
812C2×C4×C83—21no—
813C2×C4×C83—42no—
814C2×C4×C83—81no—
815C2×C4×C83C22×D411yescharacteristic
816C2×C4×C83C22×D411yescharacteristic
817C2×C4×C83C22×D411yescharacteristic
818C2×C4×C83C22×D411yescharacteristic
819C2×C4×C83C22×D411yescharacteristic
820C2×C4×C83C2511yescharacteristic
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—42no—
832C22⋊D83—81no—
833C22⋊D83—81no—
834C22⋊D83—81no—
835C22⋊D83—81no—
836C22⋊D83—81no—
837C22⋊D83—81no—
838C22⋊D83—81no—
839C22⋊D83—81no—
840C2×Dic83—21no—
841C2×Dic83—21no—
842C2×Dic83—21no—
843C2×Dic83—21no—
844C2×Dic83—21no—
845C2×Dic83—41no—
846C2×Dic83—81no—
847C2×Dic83C22×D411yescharacteristic
848C2×Dic83C22×D411yescharacteristic
849C2×Dic83C22×D411yescharacteristic
850C2×Dic83C22×D411yescharacteristic
851D332—24no—
852D332—22no—
853D332—22no—
854D332—22no—
855D332—22no—
856D332—21no—
857D332—21no—
858D332—21no—
859D332—21no—
860D332—41no—
861D332—42no—
862D332—42no—
863D332—42no—
864D332—81no—
865D332—81no—
866D332H(5,𝔽2)12yes—
867D332H(5,𝔽2)12yes—
868C4×D83—21no—
869C4×D83—21no—
870C4×D83—21no—
871C4×D83—21no—
872C4×D83—21no—
873C4×D83—21no—
874C4×D83—21no—
875C4×D83—21no—
876C4×D83—41no—
877C4×D83—41no—
878C4×D83—42no—
879C4×D83—42no—
880C4×D83—42no—
881C4×D83—81no—
882C4×D83—81no—
883C4×D83—81no—
884C4×D83—81no—
885C4×D83—81no—
886C4×D83—81no—
887C4×D83—81no—
888C4×D83—81no—
889C4×D83—81no—
890C4×D83—81no—
891Dic166—21no—
892Dic166—21no—
893Dic166—41no—
894Dic166—81no—
895Dic166—81no—
896C8×C83—21no—
897C8×C83—21no—
898C8×C83—21no—
899C8×C83—21no—
900C83⋊C8—21no—
901C83⋊C8—21no—
902C83⋊C8—21no—
903C83⋊C8—21no—
904C22×C83—21no—
905C22×C83—21no—
906C22×C83—21no—
907C22×C83—41no—
908C22×C83—41no—
909C22×C83—41no—
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—84no—
920C22×C83C23×D411yescharacteristic
921C2×D83—21no—
922C2×D83—21no—
923C2×D83—21no—
924C2×D83—21no—
925C2×D83—21no—
926C2×D83—21no—
927C2×D83—22no—
928C2×D83—22no—
929C2×D83—21no—
930C2×D83—21no—
931C2×D83—21no—
932C2×D83—21no—
933C2×D83—44no—
934C2×D83—41no—
935C2×D83—41no—
936C2×D83—41no—
937C2×D83—41no—
938C2×D83—41no—
939C2×D83—41no—
940C2×D83—41no—
941C2×D83—84no—
942C2×D83—84no—
943C2×D83—84no—
944C2×D83—84no—
945C2×D83—84no—
946C2×D83—162no—
947C2×D83—162no—
948C2×D83—162no—
949C2×D83#57612yes—
950C2×D83#57712yes—
951C4×C83—21no—
952C4×C83—21no—
953C4×C83—21no—
954C4×C83—21no—
955C4×C83—21no—
956C4×C83—41no—
957C4×C83—41no—
958C4×C83—41no—
959C4×C83—41no—
960C4×C83C2×H(5,𝔽2)11yescharacteristic
961C4×C83C2×H(5,𝔽2)11yescharacteristic
962Dic83—21no—
963Dic83—21no—
964Dic83—21no—
965Dic83—21no—
966Dic83—41no—
967Dic83—41no—
968Dic83—41no—
969Dic83—41no—
970Dic83—41no—
971#61629—831nomaximal, Sylow
972C2×C83—41no—
973C2×C83—81no—
974C2×C83—81no—
975C2×C83—81no—
976C2×C83—81no—
977C2×C83#348411yescharacteristic
978C2×C83C2×#57611yescharacteristic
979C2×C83C2×#57711yescharacteristic
980D83—22no—
981D83—22no—
982D83—41no—
983D83—41no—
984D83—42no—
985D83—42no—
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#3265—831no—
1003#3264—831no—
1004#3264—831no—
1005#3224—831no—
1006#3224D8311yescharacteristic, complemented
1007#3198—831no—
1008#3198—831no—
1009#3190—831no—
1010#3188—831no—
1011#3118—831no—
1012#3118—831no—
1013#3012—831no—
1014#3012—831no—
1015C2×#450—831no—
1016C2×#447—831no—
1017#2977—831no—
1018C83#6162911yescharacteristic, complemented, Sylow
1019C2×H(5,𝔽2)—831no—
1020C23×D4—831no—
1021C2×AGL(1,ℤ/8)—831no—
1022C2×AGL(1,ℤ/8)—831no—
1023C2×#135—831no—
1024C2×#135—831no—
1025C22×SD16—831no—
1026C22×SD16—831no—
1027C22×D8—831no—
1028C22×D8—831no—
1029#562—1661no—
1030#562—1661no—
1031#554—831no—
1032#554—831no—
1033#548—831no—
1034#548—831no—
1035#547—831no—
1036#547—831no—
1037#546—831no—
1038#546—831no—
1039#546—831no—
1040#546—831no—
1041#546—831no—
1042#546—831no—
1043#546—1661no—
1044#546—1661no—
1045#546—1661no—
1046#546—1661no—
1047D42—831no—
1048D42—831no—
1049D42—831no—
1050D42—831no—
1051D42—1661no—
1052D42—1661no—
1053#543—1661no—
1054#542—831no—
1055#542C2×D8311yescharacteristic, complemented
1056#539—1661no—
1057#538—1661no—
1058#537—831no—
1059#537—831no—
1060#537—1661no—
1061#535—831no—
1062#535C2×D8311yescharacteristic, complemented
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#495C2×D8311yescharacteristic, complemented
1076#489—831no—
1077#489C2×D8311yescharacteristic, complemented
1078#486—831no—
1079#486C2×D8311yescharacteristic, complemented
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#468—831no—
1100#467—831no—
1101#467—831no—
1102#466—831no—
1103#466—831no—
1104#466—831no—
1105#466—831no—
1106#465—831no—
1107#465—831no—
1108#465—831no—
1109#465—831no—
1110#465—831no—
1111#465—831no—
1112#464—831no—
1113#464C2×D8311yescharacteristic, complemented
1114#463—831no—
1115#463—831no—
1116#463—831no—
1117#463—831no—
1118#463—831no—
1119#463C2×D8311yescharacteristic, complemented
1120#460—831no—
1121#460C2×D8311yescharacteristic, complemented
1122#459—831no—
1123#459C2×D8311yescharacteristic, complemented
1124#452—831no—
1125#452—831no—
1126#452—831no—
1127#452C2×D8311yescharacteristic, complemented
1128#451—831no—
1129#450—831no—
1130#450—831no—
1131#450—831no—
1132#450—831no—
1133#450—831no—
1134#450—831no—
1135#450—831no—
1136#450—831no—
1137#450—831no—
1138#450—831no—
1139#450C2×D8311yescharacteristic, complemented
1140#449—831no—
1141#449—831no—
1142#449—831no—
1143#449—831no—
1144#449—831no—
1145#449—831no—
1146#449—831no—
1147#449C2×D8311yescharacteristic, complemented
1148#448—831no—
1149#447—831no—
1150#447—831no—
1151#447—831no—
1152#447—831no—
1153#447—831no—
1154#447—831no—
1155#447—831no—
1156#447—831no—
1157#447—831no—
1158#447—831no—
1159#447C2×D8311yescharacteristic, complemented
1160#442—831no—
1161#442—831no—
1162#440—831no—
1163#440—831no—
1164C4×SD16—831no—
1165C4×SD16—831no—
1166C4×D8—831no—
1167C4×D8—831no—
1168#435—831no—
1169#435—831no—
1170#435—831no—
1171#435—831no—
1172C8×D4—831no—
1173C8×D4—831no—
1174C8×D4—831no—
1175C8×D4—831no—
1176#433—831no—
1177#433C2×D8311yescharacteristic, complemented
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
1202C22×Q8—831no—
1203C22×D4—3322no—
1204C22×D4—3322no—
1205C22×D4—831no—
1206C22×D4—831no—
1207C22×D4—831no—
1208C22×D4—831no—
1209C22×D4—831no—
1210C22×D4—831no—
1211C22×D4—831no—
1212C22×D4—831no—
1213C22×D4—1661no—
1214C22×D4—1661no—
1215C22×D4—1661no—
1216C22×D4—1661no—
1217C22×D4—1661no—
1218C22×D4—1661no—
1219C22×D4—1661no—
1220C22×D4—1661no—
1221C22×D4—1661no—
1222C22×D4—1661no—
1223C22×D4—1661no—
1224C22×D4C22×D8311yescharacteristic
1225C23×C4—831no—
1226AGL(1,ℤ/8)—3322no—
1227AGL(1,ℤ/8)—3322no—
1228#135—3322no—
1229#135—3322no—
1230C2×Q16—831no—
1231C2×Q16C22×D8311yescharacteristic, complemented
1232C2×SD16—3322no—
1233C2×SD16—3322no—
1234C2×SD16—831no—
1235C2×SD16—831no—
1236C2×SD16—831no—
1237C2×SD16—831no—
1238C2×SD16—831no—
1239C2×SD16—831no—
1240C2×SD16—831no—
1241C2×SD16—831no—
1242C2×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×M16—831no—
1260C22×C8—831no—
1261C22×C8—831no—
1262C22×C8—831no—
1263C22×C8—831no—
1264C22×C8—831no—
1265C22×C8—831no—
1266C4⋊Q8—831no—
1267C4⋊Q8C22×D8311yescharacteristic, complemented
1268#127—1661no—
1269#127C22×D8311yescharacteristic
1270#127C22×D8311yescharacteristic
1271#126—21no—
1272#126—1661no—
1273#125—1661no—
1274#125—1661no—
1275#124—21no—
1276#124—831no—
1277#124—1661no—
1278#124—1661no—
1279#124—1661no—
1280#124—1661no—
1281#124C22×D8311yescharacteristic
1282#124C22×D8311yescharacteristic
1283#124C22×D8311yescharacteristic, complemented
1284#123—21no—
1285#123—831no—
1286#123—831no—
1287#123—1661no—
1288#123—1661no—
1289#123—1661no—
1290#123—1661no—
1291#123—1661no—
1292#123—1661no—
1293#123—1661no—
1294#123—1661no—
1295#123—1661no—
1296#123—1661no—
1297#123—1661no—
1298#123—1661no—
1299C22⋊Q8—21no—
1300C22⋊Q8—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
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—831no—
1337#121—831no—
1338#121—1661no—
1339#121—1661no—
1340#121—1661no—
1341#121—1661no—
1342#121—1661no—
1343#121—1661no—
1344#121—1661no—
1345#121—1661no—
1346#121—1661no—
1347#121—1661no—
1348#121—1661no—
1349#121—1661no—
1350#121—1661no—
1351#121—1661no—
1352#121—1661no—
1353#121—1661no—
1354#121—1661no—
1355#121—1661no—
1356#121—1661no—
1357#121—1661no—
1358#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—831no—
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×D4—1661no—
1399C4×D4C22×D8311yescharacteristic, complemented
1400#117—831no—
1401#117C22×D8311yescharacteristic
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#107—831no—
1421#106—831no—
1422#106—831no—
1423#106—831no—
1424#106—831no—
1425C4⋊C8—831no—
1426C4⋊C8—831no—
1427C4⋊C8C22×D8311yescharacteristic, complemented
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#102C22×D8311yescharacteristic
1456#102C22×D8311yescharacteristic
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
1473#97—831no—
1474#97C22×D8311yescharacteristic, complemented
1475C4×C8—831no—
1476C4×C8C22×D8311yescharacteristic, complemented
1477C24—21no—
1478C24—3324no—
1479C24—831no—
1480C24—6642no—
1481C24—6642no—
1482C24—1661no—
1483C24—1661no—
1484C24—1661no—
1485C24—1661no—
1486C24—1661no—
1487C24—1661no—
1488C24—1661no—
1489C24—1661no—
1490#41—41no—
1491#41—41no—
1492#41—3321no—
1493#41—3321no—
1494#41—3324no—
1495#41—3321no—
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—3321no—
1507C2×Q8—3321no—
1508C2×Q8—831no—
1509C2×Q8—831no—
1510C2×Q8—1661no—
1511C2×Q8—1661no—
1512C2×Q8C23×D8311yescharacteristic
1513C2×Q8C23×D8311yescharacteristic
1514C2×D4—21no—
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—41no—
1522C2×D4—41no—
1523C2×D4—3324no—
1524C2×D4—3324no—
1525C2×D4—3324no—
1526C2×D4—3324no—
1527C2×D4—3324no—
1528C2×D4—3324no—
1529C2×D4—3321no—
1530C2×D4—3321no—
1531C2×D4—3321no—
1532C2×D4—3321no—
1533C2×D4—3321no—
1534C2×D4—3321no—
1535C2×D4—3321no—
1536C2×D4—3321no—
1537C2×D4—831no—
1538C2×D4—831no—
1539C2×D4—831no—
1540C2×D4—831no—
1541C2×D4—831no—
1542C2×D4—831no—
1543C2×D4—831no—
1544C2×D4—831no—
1545C2×D4—831no—
1546C2×D4—831no—
1547C2×D4—6642no—
1548C2×D4—6642no—
1549C2×D4—6642no—
1550C2×D4—6642no—
1551C2×D4—6642no—
1552C2×D4—1661no—
1553C2×D4—1661no—
1554C2×D4—1661no—
1555C2×D4—1662no—
1556C2×D4—1662no—
1557C2×D4—1661no—
1558C2×D4—1661no—
1559C2×D4—1661no—
1560C2×D4—1661no—
1561C2×D4—1661no—
1562C2×D4—1661no—
1563C2×D4—1661no—
1564C2×D4—1661no—
1565C2×D4—1661no—
1566C2×D4—1662no—
1567C2×D4—1662no—
1568C2×D4—1662no—
1569C2×D4—1662no—
1570C2×D4—1662no—
1571C2×D4—1662no—
1572C2×D4—1661no—
1573C2×D4—1661no—
1574C2×D4—1661no—
1575C2×D4—1661no—
1576C2×D4—1661no—
1577C2×D4—1661no—
1578C2×D4—1661no—
1579C2×D4—1661no—
1580C2×D4—1661no—
1581C2×D4—1661no—
1582C2×D4—1661no—
1583C2×D4C23×D8311yescharacteristic
1584C2×D4C23×D8311yescharacteristic
1585C2×D4C23×D8311yescharacteristic
1586C2×D4C23×D8311yescharacteristic
1587C22×C4—21no—
1588C22×C4—21no—
1589C22×C4—3321no—
1590C22×C4—3321no—
1591C22×C4—831no—
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×C4—1661no—
1612C22×C4C23×D8311yescharacteristic
1613Q16—41no—
1614Q16—3321no—
1615SD16—41no—
1616SD16—41no—
1617SD16—41no—
1618SD16—41no—
1619SD16—3321no—
1620SD16—3321no—
1621SD16—3321no—
1622SD16—3321no—
1623SD16—1662no—
1624SD16—1662no—
1625SD16—1662no—
1626SD16—1662no—
1627D8—41no—
1628D8—41no—
1629D8—41no—
1630D8—3321no—
1631D8—3321no—
1632D8—3321no—
1633D8—1662no—
1634D8—1662no—
1635D8—1662no—
1636D8—1662no—
1637M16—3321no—
1638M16—3321no—
1639C2×C8—3321no—
1640C2×C8—3321no—
1641C2×C8—3321no—
1642C2×C8—3321no—
1643C2×C8—3321no—
1644C2×C8—3321no—
1645C2×C8—831no—
1646C2×C8—831no—
1647C2×C8—831no—
1648C2×C8—831no—
1649C2×C8C23×D8311yescharacteristic
1650C2×C8C23×D8311yescharacteristic
1651C2×C8C23×D8311yescharacteristic
1652C2×C8C23×D8311yescharacteristic
1653C4⋊C4—21no—
1654C4⋊C4—21no—
1655C4⋊C4—21no—
1656C4⋊C4—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⋊C4D4×D8311yescharacteristic
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—21no—
1689C22⋊C4—21no—
1690C22⋊C4—831no—
1691C22⋊C4—831no—
1692C22⋊C4—831no—
1693C22⋊C4—831no—
1694C22⋊C4—831no—
1695C22⋊C4—831no—
1696C22⋊C4—831no—
1697C22⋊C4—831no—
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—1661no—
1728C42—1661no—
1729C42C23×D8311yescharacteristic
1730C42C23×D8311yescharacteristic
1731C23—21no—
1732C23—21no—
1733C23—21no—
1734C23—21no—
1735C23—42no—
1736C23—81no—
1737C23—81no—
1738C23—3321no—
1739C23—3322no—
1740C23—3322no—
1741C23—3322no—
1742C23—3322no—
1743C23—3322no—
1744C23—3322no—
1745C23—3322no—
1746C23—3322no—
1747C23—3322no—
1748C23—3322no—
1749C23—3322no—
1750C23—831no—
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—6641no—
1766C23—66416no—
1767C23—1662no—
1768C23—1662no—
1769C23—1664no—
1770C23—1661no—
1771C23—1661no—
1772C23—1661no—
1773C23C2×D4×D8311yescharacteristic
1774Q8—21no—
1775Q8—21no—
1776Q8—21no—
1777Q8—21no—
1778Q8—81no—
1779Q8—3321no—
1780Q8—6641no—
1781Q8—6641no—
1782Q8—1661no—
1783Q8—1661no—
1784D4—21no—
1785D4—21no—
1786D4—21no—
1787D4—21no—
1788D4—21no—
1789D4—21no—
1790D4—21no—
1791D4—21no—
1792D4—42no—
1793D4—42no—
1794D4—81no—
1795D4—81no—
1796D4—81no—
1797D4—81no—
1798D4—81no—
1799D4—3321no—
1800D4—3322no—
1801D4—3322no—
1802D4—3322no—
1803D4—3322no—
1804D4—3322no—
1805D4—3322no—
1806D4—3321no—
1807D4—3321no—
1808D4—3322no—
1809D4—3322no—
1810D4—3322no—
1811D4—3322no—
1812D4—3322no—
1813D4—3322no—
1814D4—832no—
1815D4—832no—
1816D4—6641no—
1817D4—6641no—
1818D4—6641no—
1819D4—6641no—
1820D4—6641no—
1821D4—6641no—
1822D4—6641no—
1823D4—6641no—
1824D4—6641no—
1825D4—6641no—
1826D4—1662no—
1827D4—1662no—
1828D4—1662no—
1829D4—1662no—
1830D4—1664no—
1831D4—1661no—
1832D4—1661no—
1833D4—1661no—
1834D4—1661no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—42no—
1842C2×C4—81no—
1843C2×C4—3321no—
1844C2×C4—3321no—
1845C2×C4—3322no—
1846C2×C4—3322no—
1847C2×C4—3322no—
1848C2×C4—3321no—
1849C2×C4—831no—
1850C2×C4—831no—
1851C2×C4—831no—
1852C2×C4—831no—
1853C2×C4—6641no—
1854C2×C4—6641no—
1855C2×C4—6641no—
1856C2×C4—6641no—
1857C2×C4—6641no—
1858C2×C4—6641no—
1859C2×C4—6641no—
1860C2×C4—6641no—
1861C2×C4—6641no—
1862C2×C4—6641no—
1863C2×C4—6641no—
1864C2×C4—1661no—
1865C2×C4—1661no—
1866C2×C4—1661no—
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×C4C2×D4×D8311yescharacteristic
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—41no—
1895C22—41no—
1896C22—41no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—41no—
1901C22—41no—
1902C22—41no—
1903C22—41no—
1904C22—41no—
1905C22—41no—
1906C22—84no—
1907C22—13282no—
1908C22—13282no—
1909C22—13282no—
1910C22—3324no—
1911C22—3321no—
1912C22—3321no—
1913C22—3321no—
1914C22—3321no—
1915C22—3321no—
1916C22—3321no—
1917C22—3321no—
1918C22—832no—
1919C22—832no—
1920C22—6644no—
1921C22—6644no—
1922C22—6644no—
1923C22—6644no—
1924C22—6644no—
1925C22—1662no—
1926C22—1662no—
1927C22—1661no—
1928C22—1661no—
1929C22—1661no—
1930C22—1661no—
1931C22—1661no—
1932C22—1661no—
1933C22—1661no—
1934C22—1661no—
1935C22—1661no—
1936C22—1661no—
1937C22C22×D4×D8311yescharacteristic
1938C4—21no—
1939C4—21no—
1940C4—21no—
1941C4—21no—
1942C4—21no—
1943C4—41no—
1944C4—41no—
1945C4—41no—
1946C4—41no—
1947C4—3321no—
1948C4—3321no—
1949C4—3321no—
1950C4—3321no—
1951C4—3321no—
1952C4—1661no—
1953C4—1661no—
1954C4—1661no—
1955C4—1661no—
1956C4H(5,𝔽2)×D8311yescharacteristic
1957C4H(5,𝔽2)×D8311yescharacteristic
1958C2—41no—
1959C2—81no—
1960C2—81no—
1961C2—81no—
1962C2—81no—
1963C2—3321no—
1964C2—3321no—
1965C2—3322no—
1966C2—3322no—
1967C2—6641no—
1968C2—1662no—
1969C2—1662no—
1970C2#2492109711yescharacteristic
1971C2#576×D8311yescharacteristic
1972C2#577×D8311yescharacteristic
subgroupG/H
centerC22C22×D4×D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC83×#3224C2
socleC22×C83C23×D4
hypercenter#3224D83
hypocenterC83#61629
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C22 ◁ #117 ◁ #3224

Complements

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

NH ≅ G/Ntype
1. #24921688C2semidirect
2. #24921097C2semidirect
3. #24919551C2semidirect
4. #24919543C2semidirect
5. #24919431C2semidirect
6. #24919423C2semidirect
7. #24919290C2semidirect
8. #24919286C2semidirect
9. #24919279C2semidirect
10. #24919275C2semidirect
11. #24919169C2semidirect
12. #24919165C2semidirect
13. #24919147C2semidirect
14. #24919143C2semidirect
15. #24918957C2semidirect
16. #24918953C2semidirect
17. #24918942C2semidirect
18. #24918938C2semidirect
19. #24918557C2semidirect
20. #24918319C2semidirect
21. #24918311C2semidirect
22. #24918242C2semidirect
23. #24918226C2semidirect
24. #24917649C2semidirect
25. #24917641C2semidirect
26. #24916771C2semidirect
27. #24916765C2semidirect
28. #450×D83C2semidirect
29. #447×D83C2semidirect
30. #24916518C2semidirect
31. C83×#3224C2semidirect
32. C2×#14581838C22semidirect
34. C2×#14581819C22semidirect
35. C2×#14581816C22semidirect
36. C2×#14581815C22semidirect
37. C2×#14581813C22semidirect
38. C2×SD16×D83C22semidirect
39. C2×SD16×D83C22semidirect
40. C2×D8×D83C22semidirect
41. C2×D8×D83C22semidirect
44. #19128412C22semidirect
45. #19128411C22semidirect
46. #19128363C22semidirect
47. #19128359C22semidirect
48. #19128356C22semidirect
49. #19128354C22semidirect
52. #19128346C22semidirect
56. #19128344C22semidirect
57. #19128344C22semidirect
58. #19128344C22semidirect
62. #19128336C22semidirect
63. #19128336C22semidirect
67. #19128322C22semidirect
71. #19128281C22semidirect
72. #19128280C22semidirect
73. #19128268C22semidirect
78. C22⋊Q8×D83C22semidirect
79. #121×D83C22semidirect
82. #19128175C22semidirect
83. #19128088C22semidirect
84. #19128083C22semidirect
85. #19128060C22semidirect
86. #19128047C22semidirect
87. #19128043C22semidirect
88. #19128039C22semidirect
89. #19128035C22semidirect
90. #19128030C22semidirect
91. #19128026C22semidirect
92. #19128022C22semidirect
93. #19128018C22semidirect
94. #19128018C22semidirect
95. #19128018C22semidirect
96. #19128013C22semidirect
97. #19128013C22semidirect
98. #19128013C22semidirect
99. #19127992C22semidirect
100. #19127988C22semidirect
101. #19127982C22semidirect
102. #19127978C22semidirect
103. #19127953C22semidirect
104. #19127951C22semidirect
105. #19127946C22semidirect
106. #19127944C22semidirect
107. #19127941C22semidirect
108. #19127939C22semidirect
109. #19127936C22semidirect
110. #19127936C22semidirect
111. #19127934C22semidirect
112. #19127934C22semidirect
113. #19127933C22semidirect
114. #19127929C22semidirect
115. #19127929C22semidirect
116. #19127927C22semidirect
117. #19127927C22semidirect
118. #19127927C22semidirect
119. #19127920C22semidirect
120. #19127917C22semidirect
121. #19127917C22semidirect
122. #19127913C22semidirect
123. #19127913C22semidirect
124. #19127913C22semidirect
125. #19127898C22semidirect
126. #19127893C22semidirect
127. #19127866C22semidirect
128. #19127863C22semidirect
129. #19127862C22semidirect
130. #19127855C22semidirect
131. #19127854C22semidirect
132. #19127853C22semidirect
133. #19127853C22semidirect
134. #19127853C22semidirect
135. #19127852C22semidirect
136. #19127851C22semidirect
137. #19127850C22semidirect
138. #19127850C22semidirect
139. #19127850C22semidirect
140. #19127850C22semidirect
141. #19127849C22semidirect
142. #19127846C22semidirect
143. #19127845C22semidirect
144. #19127845C22semidirect
145. #19127845C22semidirect
146. #19127843C22semidirect
147. #19127843C22semidirect
148. #19127838C22semidirect
150. #19127836C22semidirect
151. #19127836C22semidirect
152. #19127836C22semidirect
153. #19127835C22semidirect
155. #19127833C22semidirect
156. #19127833C22semidirect
157. #19127833C22semidirect
158. #19127833C22semidirect
159. #19127814C22semidirect
160. #19127811C22semidirect
161. #19127803C22semidirect
162. #19127799C22semidirect
163. C4×#13050579C22semidirect
164. C4×#13050577C22semidirect
165. C4×D664C22semidirect
166. C4×#13050575C22semidirect
167. #19127774C22semidirect
168. #19127774C22semidirect
169. #19127771C22semidirect
170. #19127771C22semidirect
171. C8×D332C22semidirect
172. C8×D332C22semidirect
173. #19127766C22semidirect
174. #19127766C22semidirect
175. #19127762C22semidirect
176. #19127701C22semidirect
177. #19127701C22semidirect
178. #102×D83C22semidirect
179. #102×D83C22semidirect
180. #102×D83C22semidirect
181. #102×D83C22semidirect
182. #102×D83C22semidirect
183. #102×D83C22semidirect
184. #19127666C22semidirect
185. #19127666C22semidirect
186. C22⋊C8×D83C22semidirect
187. C22⋊C8×D83C22semidirect
188. #542×C83C22semidirect
189. #535×C83C22semidirect
190. #496×C83C22semidirect
191. #495×C83C22semidirect
192. #489×C83C22semidirect
193. #486×C83C22semidirect
194. #464×C83C22semidirect
195. #463×C83C22semidirect
196. #460×C83C22semidirect
197. #459×C83C22semidirect
198. #452×C83C22semidirect
199. #450×C83C22semidirect
200. #449×C83C22semidirect
201. #447×C83C22semidirect
202. #433×C83C22semidirect
209. C2×#13050591C23semidirect
213. C2×#13050589C23semidirect
241. C2×#13050580C23semidirect
246. C2×#13050578C23semidirect
249. C2×#13050577C23semidirect
258. C2×#13050575C23semidirect
261. C2×#13050573C23semidirect
262. C2×#13050573C23semidirect
267. C2×C8×D83C23semidirect
268. C2×C8×D83C23semidirect
269. #14581792C23semidirect
275. #14581780C23semidirect
297. #14581772C23semidirect
314. #14581768C23semidirect
320. #14581767C23semidirect
347. #14581763C23semidirect
367. C4×Dic166C23semidirect
378. C4×D332C23semidirect
389. C4⋊C4×D83C23semidirect
390. C4⋊C4×D83C23semidirect
401. #14581726C23semidirect
402. #14581726C23semidirect
403. #14581725C23semidirect
404. #14581725C23semidirect
405. #14581724C23semidirect
406. #14581724C23semidirect
407. #14581723C23semidirect
408. #14581723C23semidirect
409. C4⋊(C83⋊C8)C23semidirect
410. C4⋊(C83⋊C8)C23semidirect
411. #14581717C23semidirect
412. #14581717C23semidirect
413. #14581716C23semidirect
414. #14581716C23semidirect
415. #14581716C23semidirect
416. #14581716C23semidirect
421. #14581714C23semidirect
422. #14581714C23semidirect
427. #14581713C23semidirect
428. #14581713C23semidirect
429. #14581713C23semidirect
430. #14581713C23semidirect
441. (C2×D83)⋊C8C23semidirect
442. (C2×D83)⋊C8C23semidirect
443. (C2×D83)⋊C8C23semidirect
444. (C2×D83)⋊C8C23semidirect
445. #14581703C23semidirect
446. C4×C83⋊C8C23semidirect
449. C2×Q16×C83C23semidirect
452. C2×SD16×C83C23semidirect
453. C2×SD16×C83C23semidirect
456. C2×D8×C83C23semidirect
457. C4⋊Q8×C83C23semidirect
464. #124×C83C23semidirect
473. C4×Q8×C83C23semidirect
474. C4×D4×C83C23semidirect
476. C4⋊C8×C83C23semidirect
477. C4⋊C8×C83C23semidirect
478. #103×C83C23semidirect
479. #103×C83C23semidirect
484. #102×C83C23semidirect
485. #102×C83C23semidirect
488. #97×C83C23semidirect
489. C4×C8×C83C23semidirect
1006. #3224D83semidirect
1018. C83#61629semidirect
1055. #542C2×D83semidirect
1062. #535C2×D83semidirect
1073. #496C2×D83semidirect
1075. #495C2×D83semidirect
1077. #489C2×D83semidirect
1079. #486C2×D83semidirect
1113. #464C2×D83semidirect
1119. #463C2×D83semidirect
1121. #460C2×D83semidirect
1123. #459C2×D83semidirect
1127. #452C2×D83semidirect
1139. #450C2×D83semidirect
1147. #449C2×D83semidirect
1159. #447C2×D83semidirect
1177. #433C2×D83semidirect
1231. C2×Q16C22×D83semidirect
1244. C2×SD16C22×D83semidirect
1245. C2×SD16C22×D83semidirect
1257. C2×D8C22×D83semidirect
1267. C4⋊Q8C22×D83semidirect
1283. #124C22×D83semidirect
1381. C4×Q8C22×D83semidirect
1399. C4×D4C22×D83semidirect
1427. C4⋊C8C22×D83semidirect
1428. C4⋊C8C22×D83semidirect
1435. #103C22×D83semidirect
1436. #103C22×D83semidirect
1459. #102C22×D83semidirect
1460. #102C22×D83semidirect
1474. #97C22×D83semidirect
1476. C4×C8C22×D83semidirect

Maximal subgroups

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

subgroupindex
#249216882
#249210972
#249195512
#249195432
#249194312
#249194232
#249192902
#249192862
#249192792
#249192752
#249191692
#249191652
#249191472
#249191432
#249189572
#249189532
#249189422
#249189382
#249185572
#249183192
#249183112
#249182422
#249182262
#249176492
#249176412
#249167712
#249167652
#450×D832
#447×D832
#249165182
C83×#32242
#6162983