Finite Group Databasebeta

← #36290462

Subgroups — #36290462

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#24921683C211yesmaximal, characteristic, complemented
2#24921091C211yesmaximal, characteristic, complemented
3#24919548C211yesmaximal, characteristic, complemented
4#24919546C211yesmaximal, characteristic, complemented
5#24919429C211yesmaximal, characteristic, complemented
6#24919419C211yesmaximal, characteristic, complemented
7#24919287C211yesmaximal, characteristic, complemented
8#24919282C211yesmaximal, characteristic, complemented
9#24919279C211yesmaximal, characteristic, complemented
10#24919269C211yesmaximal, characteristic, complemented
11#24919176C211yesmaximal, characteristic, complemented
12#24919173C211yesmaximal, characteristic, complemented
13#24919148C211yesmaximal, characteristic, complemented
14#24919144C211yesmaximal, characteristic, complemented
15#24918957C211yesmaximal, characteristic, complemented
16#24918952C211yesmaximal, characteristic, complemented
17#24918936C211yesmaximal, characteristic, complemented
18#24918554C211yesmaximal, characteristic, complemented
19#24918552C211yesmaximal, characteristic, complemented
20#24918312C211yesmaximal, characteristic, complemented
21#24918310C211yesmaximal, characteristic, complemented
22#24918239C211yesmaximal, characteristic, complemented
23#24918225C211yesmaximal, characteristic, complemented
24#24917645C211yesmaximal, characteristic, complemented
25#24917644C211yesmaximal, characteristic, complemented
26#24916766C211yesmaximal, characteristic, complemented
27#24916762C211yesmaximal, characteristic, complemented
28#450×D83C211yesmaximal, characteristic, complemented
29C2×#19127833C211yesmaximal, characteristic, complemented
30#24916514C211yesmaximal, characteristic, complemented
31C83×#3264C211yesmaximal, characteristic, complemented
32C2×#14581837C2211yescharacteristic, complemented
33C22×D4×D83C2211yescharacteristic
34C2×#14581816C2211yescharacteristic, complemented
35C2×#14581812C2211yescharacteristic, complemented
36C2×#14581811C2211yescharacteristic, complemented
37C2×SD16×D83C2211yescharacteristic, complemented
38C2×SD16×D83C2211yescharacteristic, complemented
39C22×#13050575C2211yescharacteristic, complemented
40#19128448—21no—
41#19128446—21no—
42#19128409C2211yescharacteristic, complemented
43#19128408C2211yescharacteristic, complemented
44#19128359C2211yescharacteristic, complemented
45#19128358C2211yescharacteristic, complemented
46#19128356C2211yescharacteristic, complemented
47#19128351C2211yescharacteristic, complemented
48#19128348C2211yescharacteristic, complemented
49#19128347C2211yescharacteristic
50#19128346C2211yescharacteristic, complemented
51#19128345C2211yescharacteristic
52#19128345C2211yescharacteristic, complemented
53#19128341—21no—
54#19128340—21no—
55#19128338—21no—
56#19128338—21no—
57#19128336C2211yescharacteristic, complemented
58#19128335C2211yescharacteristic
59D4×C22⋊D83—21no—
60D4×C22⋊D83C2211yescharacteristic, complemented
61#19128333—21no—
62#19128327—21no—
63#19128320C2211yescharacteristic, complemented
64#19128316C2211yescharacteristic, complemented
65#19128294—21no—
66#19128286—21no—
67#19128280—21no—
68#19128280C2211yescharacteristic, complemented
69#19128279C2211yescharacteristic, complemented
70#19128267C2211yescharacteristic, complemented
71#19128264C2211yescharacteristic, complemented
72#19128261—21no—
73#19128259—21no—
74#19128211C2211yescharacteristic
75#19128210C2211yescharacteristic
76C22⋊Q8×D83C2211yescharacteristic, complemented
77C2×#14581763C2211yescharacteristic, complemented
78C2×#14581760—21no—
79#120×D83—21no—
80#19128173C2211yescharacteristic, complemented
81#19128089C2211yescharacteristic, complemented
82#19128084C2211yescharacteristic, complemented
83#19128083C2211yescharacteristic, complemented
84#19128061C2211yescharacteristic, complemented
85#19128059C2211yescharacteristic, complemented
86#19128047C2211yescharacteristic, complemented
87#19128046C2211yescharacteristic, complemented
88#19128045C2211yescharacteristic, complemented
89#19128041C2211yescharacteristic, complemented
90#19128037C2211yescharacteristic, complemented
91#19128033C2211yescharacteristic, complemented
92#19128023C2211yescharacteristic, complemented
93#19128023C2211yescharacteristic, complemented
94#19128021C2211yescharacteristic, complemented
95#19128017C2211yescharacteristic, complemented
96#19128017C2211yescharacteristic, complemented
97#19128015C2211yescharacteristic, complemented
98#19128013C2211yescharacteristic, complemented
99#19128013C2211yescharacteristic, complemented
100#19127991C2211yescharacteristic, complemented
101#19127990C2211yescharacteristic, complemented
102#19127982C2211yescharacteristic, complemented
103#19127979C2211yescharacteristic, complemented
104#19127953C2211yescharacteristic, complemented
105#19127947C2211yescharacteristic, complemented
106#19127944C2211yescharacteristic, complemented
107#19127942C2211yescharacteristic, complemented
108#19127940C2211yescharacteristic, complemented
109#19127935C2211yescharacteristic, complemented
110#19127934C2211yescharacteristic, complemented
111#19127934C2211yescharacteristic, complemented
112#19127934C2211yescharacteristic, complemented
113#19127933C2211yescharacteristic, complemented
114#19127929C2211yescharacteristic, complemented
115#19127929C2211yescharacteristic, complemented
116#19127928C2211yescharacteristic, complemented
117#19127928C2211yescharacteristic, complemented
118#19127924C2211yescharacteristic, complemented
119#19127921C2211yescharacteristic, complemented
120#19127916C2211yescharacteristic, complemented
121#19127915C2211yescharacteristic, complemented
122#19127914C2211yescharacteristic, complemented
123#19127914C2211yescharacteristic, complemented
124#19127913C2211yescharacteristic, complemented
125#19127899C2211yescharacteristic, complemented
126#19127898C2211yescharacteristic, complemented
127#19127894C2211yescharacteristic, complemented
128#19127865C2211yescharacteristic, complemented
129#19127864C2211yescharacteristic, complemented
130#19127860C2211yescharacteristic, complemented
131#19127860C2211yescharacteristic, complemented
132#19127858C2211yescharacteristic, complemented
133#19127854C2211yescharacteristic, complemented
134#19127853C2211yescharacteristic, complemented
135#19127853C2211yescharacteristic, complemented
136#19127852C2211yescharacteristic, complemented
137#19127852C2211yescharacteristic, complemented
138#19127852C2211yescharacteristic, complemented
139#19127851C2211yescharacteristic, complemented
140#19127850C2211yescharacteristic, complemented
141#19127850C2211yescharacteristic, complemented
142#19127850C2211yescharacteristic, complemented
143#19127847C2211yescharacteristic, complemented
144#19127846C2211yescharacteristic, complemented
145#19127844C2211yescharacteristic, complemented
146#19127843C2211yescharacteristic, complemented
147#19127843C2211yescharacteristic, complemented
148#19127843C2211yescharacteristic, complemented
149#19127843C2211yescharacteristic, complemented
150#19127838C2211yescharacteristic, complemented
151#19127833C2211yescharacteristic
152#19127833C2211yescharacteristic
153#19127833C2211yescharacteristic, complemented
154#19127833C2211yescharacteristic, complemented
155#19127833C2211yescharacteristic, complemented
156#19127833C2211yescharacteristic, complemented
157#19127833C2211yescharacteristic, complemented
158#19127833C2211yescharacteristic, complemented
159#19127833C2211yescharacteristic, complemented
160#19127810C2211yescharacteristic, complemented
161#19127803C2211yescharacteristic, complemented
162#19127802C2211yescharacteristic, complemented
163C4×#13050578C2211yescharacteristic, complemented
164#19127786C2211yescharacteristic, complemented
165D8×Dic83C2211yescharacteristic, complemented
166C4×#13050575C2211yescharacteristic, 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×D8×C83C2211yescharacteristic, complemented
190#546×C83C2211yescharacteristic, complemented
191D42×C83C2211yescharacteristic
192#496×C83C2211yescharacteristic, complemented
193#469×C83C2211yescharacteristic, complemented
194#465×C83C2211yescharacteristic, complemented
195#463×C83C2211yescharacteristic, complemented
196#459×C83C2211yescharacteristic, complemented
197#450×C83C2211yescharacteristic, complemented
198#449×C83C2211yescharacteristic, complemented
199#447×C83C2211yescharacteristic, complemented
200#447×C83C2211yescharacteristic, complemented
201#442×C83C2211yescharacteristic, complemented
202#435×C83C2211yescharacteristic, complemented
203C24×D83—21no—
204#14581837—42no—
205#14581837—42no—
206C2×#13050590—21no—
207C2×#13050590C2311yescharacteristic
208C2×#13050590C2311yescharacteristic
209C2×#13050589—21no—
210C2×#13050589—21no—
211C2×#13050589C2311yescharacteristic
212C2×#13050589C2311yescharacteristic
213C2×#13050589C2311yescharacteristic, complemented
214C2×Q8×D83C2311yescharacteristic
215C22×D332C2311yescharacteristic
216C22×C22⋊D83—21no—
217C22×C22⋊D83—21no—
218C22×C22⋊D83—21no—
219C22×C22⋊D83—21no—
220C22×C22⋊D83—21no—
221C2×D4×D83—21no—
222C2×D4×D83—21no—
223C2×D4×D83—21no—
224C2×D4×D83—21no—
225C2×D4×D83—21no—
226C2×D4×D83—42no—
227C2×D4×D83—42no—
228C2×D4×D83C2311yescharacteristic
229C2×D4×D83C2311yescharacteristic
230C2×D4×D83C2311yescharacteristic
231C2×D4×D83C2311yescharacteristic
232C2×D4×D83C2311yescharacteristic
233C22×C4×D83C2311yescharacteristic
234#14581816—42no—
235#14581812—42no—
236#14581811—42no—
237C2×Dic332C2311yescharacteristic, complemented
238C2×#13050580C2311yescharacteristic, complemented
239C2×#13050579C2311yescharacteristic
240C2×#13050579C2311yescharacteristic
241C2×#13050578C2311yescharacteristic
242C2×#13050578C2311yescharacteristic
243C2×#13050578C2311yescharacteristic, complemented
244C2×#13050578C2311yescharacteristic, complemented
245C2×#13050578C2311yescharacteristic, complemented
246C2×#13050577C2311yescharacteristic
247C2×#13050577C2311yescharacteristic
248SD16×D83—42no—
249SD16×D83—42no—
250C2×#13050575—42no—
251C2×#13050575C2311yescharacteristic
252C2×#13050575C2311yescharacteristic
253C2×#13050575C2311yescharacteristic
254C2×#13050575C2311yescharacteristic
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#14581785—21no—
266#14581785—21no—
267#14581783—21no—
268#14581782—21no—
269#14581780C2311yescharacteristic
270#14581779—21no—
271#14581779C2311yescharacteristic
272#14581779C2311yescharacteristic, complemented
273#14581778—21no—
274#14581778—21no—
275#14581778—21no—
276#14581778—21no—
277#14581777—21no—
278#14581777D411yescharacteristic
279#14581776—21no—
280#14581776—21no—
281#14581775—21no—
282#14581774—21no—
283#14581774—21no—
284#14581774—21no—
285#14581774—21no—
286#14581774—21no—
287#14581774D411yescharacteristic
288#14581773—21no—
289#14581773—21no—
290#14581773—21no—
291#14581772—21no—
292#14581772C2311yescharacteristic
293#14581772C2311yescharacteristic
294#14581771—21no—
295#14581771—21no—
296#14581771—21no—
297#14581771—21no—
298#14581771C2311yescharacteristic
299#14581771C2311yescharacteristic
300#14581771C2311yescharacteristic, complemented
301#14581770—21no—
302#14581770D411yescharacteristic
303#14581769—21no—
304#14581769—21no—
305#14581769—21no—
306#14581769—21no—
307#14581769—21no—
308#14581769—21no—
309#14581769—21no—
310#14581769—21no—
311#14581769D411yescharacteristic
312#14581768C2311yescharacteristic
313#14581768C2311yescharacteristic, complemented
314#14581767C2311yescharacteristic
315#14581766—21no—
316#14581766—21no—
317#14581766C2311yescharacteristic
318#14581765—21no—
319#14581765—21no—
320#14581765—21no—
321#14581765—21no—
322#14581765D411yescharacteristic
323#14581764—21no—
324#14581764—21no—
325#14581764—21no—
326#14581764—21no—
327#14581764—21no—
328#14581764—21no—
329#14581764—21no—
330#14581764—21no—
331#14581764D411yescharacteristic
332#14581763—21no—
333#14581763—21no—
334#14581763—21no—
335#14581763—21no—
336#14581763—21no—
337#14581763—21no—
338#14581763C2311yescharacteristic
339#14581763C2311yescharacteristic
340#14581763C2311yescharacteristic
341#14581763C2311yescharacteristic
342#14581763C2311yescharacteristic
343#14581763C2311yescharacteristic
344#14581763C2311yescharacteristic, complemented
345#14581762—21no—
346#14581762—21no—
347#14581762—21no—
348#14581762D411yescharacteristic
349#14581761—21no—
350#14581761—21no—
351#14581761—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×Dic166C2311yescharacteristic, complemented
365C4×D332C2311yescharacteristic
366C4×D332C2311yescharacteristic
367D4×Dic83—21no—
368D4×Dic83—21no—
369D4×Dic83C2311yescharacteristic
370D4×Dic83C2311yescharacteristic, complemented
371#14581754C2311yescharacteristic
372C4×C22⋊D83—21no—
373C4×C22⋊D83—21no—
374C4×C22⋊D83C2311yescharacteristic
375C4×C22⋊D83C2311yescharacteristic
376(C22⋊D83)⋊C4—21no—
377(C22⋊D83)⋊C4—21no—
378(C22⋊D83)⋊C4—21no—
379(C22⋊D83)⋊C4—21no—
380#14581750C2311yescharacteristic
381#14581749C2311yescharacteristic
382C2×C4⋊Dic83C2311yescharacteristic
383C2×C4⋊Dic83C2311yescharacteristic, complemented
384C4⋊C4×D83—21no—
385C4⋊C4×D83C2311yescharacteristic
386C4⋊C4×D83C2311yescharacteristic, complemented
387C2×C22⋊Dic83—21no—
388C2×C22⋊Dic83—21no—
389C2×C22⋊Dic83—21no—
390C2×(C2×D83)⋊C4—21no—
391C2×(C2×D83)⋊C4—21no—
392C22⋊C4×D83—21no—
393C22⋊C4×D83—21no—
394C22⋊C4×D83—21no—
395C22⋊C4×D83—21no—
396#14581726C2311yescharacteristic, complemented
397#14581726C2311yescharacteristic, complemented
398#14581726C2311yescharacteristic, complemented
399#14581725C2311yescharacteristic, complemented
400#14581723C2311yescharacteristic, complemented
401#14581723C2311yescharacteristic, complemented
402#14581723C2311yescharacteristic, complemented
403C4⋊(C83⋊C8)C2311yescharacteristic, complemented
404Dic83⋊C8C2311yescharacteristic, complemented
405Dic83⋊C8C2311yescharacteristic, complemented
406#14581717C2311yescharacteristic, complemented
407#14581717C2311yescharacteristic, complemented
408#14581717C2311yescharacteristic, complemented
409#14581717C2311yescharacteristic, complemented
410#14581716C2311yescharacteristic, complemented
411#14581715C2311yescharacteristic, complemented
412#14581715C2311yescharacteristic, complemented
413#14581714C2311yescharacteristic
414#14581714C2311yescharacteristic
415#14581714C2311yescharacteristic
416#14581714C2311yescharacteristic
417#14581714C2311yescharacteristic
418#14581714C2311yescharacteristic
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#14581713C2311yescharacteristic, complemented
430#14581712C2311yescharacteristic
431#14581712C2311yescharacteristic
432C22⋊(C83⋊C8)C2311yescharacteristic
433C22⋊(C83⋊C8)C2311yescharacteristic, complemented
434(C2×D83)⋊C8C2311yescharacteristic
435(C2×D83)⋊C8C2311yescharacteristic
436(C2×D83)⋊C8C2311yescharacteristic
437(C2×D83)⋊C8C2311yescharacteristic
438(C2×D83)⋊C8C2311yescharacteristic
439(C2×D83)⋊C8C2311yescharacteristic
440(C2×D83)⋊C8C2311yescharacteristic, complemented
441(C2×D83)⋊C8C2311yescharacteristic, complemented
442#14581702C2311yescharacteristic, complemented
443C4×C83⋊C8C2311yescharacteristic, complemented
444C8×Dic83C2311yescharacteristic, complemented
445C2×#41×C83C2311yescharacteristic, complemented
446C22×D4×C83—21no—
447C22×D4×C83C2311yescharacteristic
448C22×D4×C83C2311yescharacteristic
449C22×D4×C83C2311yescharacteristic
450AGL(1,ℤ/8)×C83—42no—
451C2×SD16×C83C2311yescharacteristic
452C2×SD16×C83C2311yescharacteristic
453C2×SD16×C83C2311yescharacteristic, complemented
454C2×D8×C83—42no—
455C2×D8×C83C2311yescharacteristic
456C2×D8×C83C2311yescharacteristic
457C2×D8×C83C2311yescharacteristic
458C2×D8×C83C2311yescharacteristic
459C2×D8×C83C2311yescharacteristic, complemented
460C2×D8×C83C2311yescharacteristic, complemented
461C2×M16×C83C2311yescharacteristic, complemented
462C22×C8×C83C2311yescharacteristic
463#127×C83C2311yescharacteristic
464#124×C83C2311yescharacteristic, complemented
465#123×C83—21no—
466C22⋊Q8×C83C2311yescharacteristic
467#121×C83—21no—
468#121×C83—21no—
469#121×C83C2311yescharacteristic
470#121×C83C2311yescharacteristic
471#121×C83C2311yescharacteristic, complemented
472#120×C83—21no—
473#120×C83—21no—
474#120×C83—21no—
475C4×D4×C83C2311yescharacteristic
476C4×D4×C83C2311yescharacteristic
477C4×D4×C83C2311yescharacteristic, complemented
478C2×C22⋊C4×C83—21no—
479#106×C83C2311yescharacteristic, complemented
480C4⋊C8×C83C2311yescharacteristic, complemented
481#103×C83C2311yescharacteristic, complemented
482#102×C83C2311yescharacteristic
483#102×C83C2311yescharacteristic
484#102×C83C2311yescharacteristic, complemented
485#102×C83C2311yescharacteristic, complemented
486#102×C83C2311yescharacteristic, complemented
487C22⋊C8×C83C2311yescharacteristic
488C22⋊C8×C83C2311yescharacteristic, complemented
489#97×C83C2311yescharacteristic, complemented
490C23×D83—21no—
491C23×D83—21no—
492C23×D83—21no—
493C23×D83—21no—
494C23×D83—21no—
495C23×D83—21no—
496C23×D83—44no—
497C23×D83—82no—
498C23×D83—82no—
499C23×D83C2×D411yescharacteristic
500#13050590—22no—
501#13050590—41no—
502#13050590—41no—
503#13050590—41no—
504#13050590—82no—
505#13050589—22no—
506#13050589—41no—
507#13050589—41no—
508#13050589—41no—
509#13050589—41no—
510#13050589—41no—
511#13050589—44no—
512#13050589—82no—
513C2×Dic166—21no—
514C2×Dic166—21no—
515C2×Dic166—21no—
516C2×Dic166C2×D411yescharacteristic
517C2×Dic166C2411yescharacteristic
518C2×Dic166C2411yescharacteristic
519Q8×D83—41no—
520Q8×D83—41no—
521C2×D332—22no—
522C2×D332—21no—
523C2×D332—21no—
524C2×D332—41no—
525C2×D332C2×D411yescharacteristic
526C2×D332C2×D411yescharacteristic
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—21no—
548C2×C22⋊D83—44no—
549C2×C22⋊D83—44no—
550C2×C22⋊D83—44no—
551C2×C22⋊D83—82no—
552C2×C22⋊D83—82no—
553C2×C22⋊D83C2×D411yescharacteristic
554C2×C22⋊D83C2×D411yescharacteristic
555C2×C22⋊D83C2×D411yescharacteristic
556C2×C22⋊D83C2×D411yescharacteristic
557D4×D83—22no—
558D4×D83—22no—
559D4×D83—22no—
560D4×D83—22no—
561D4×D83—22no—
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—
572C22×Dic83—21no—
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—41no—
587C2×C4×D83—41no—
588C2×C4×D83C2×D411yescharacteristic
589C2×C4×D83C2×D411yescharacteristic
590C2×C4×D83C2411yescharacteristic
591C2×C4×D83C2411yescharacteristic
592C2×C4×D83C2411yescharacteristic
593Dic332—41no—
594#13050580—41no—
595#13050579—22no—
596#13050579—41no—
597#13050578—22no—
598#13050578—41no—
599#13050578—41no—
600#13050578—41no—
601#13050578—41no—
602#13050577—22no—
603#13050577—41no—
604#13050575—22no—
605#13050575—22no—
606#13050575—41no—
607#13050575—41no—
608#13050573—41no—
609C2×C83⋊C8—41no—
610C2×C83⋊C8—41no—
611C2×C83⋊C8C2411yescharacteristic
612C2×C83⋊C8C2411yescharacteristic
613C2×C83⋊C8C2411yescharacteristic
614C2×C83⋊C8C2411yescharacteristic
615C8×D83—41no—
616C8×D83—41no—
617C8×D83—41no—
618C4⋊Dic83—21no—
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⋊Dic83—21no—
652C22⋊Dic83—21no—
653C22⋊Dic83—21no—
654C22⋊Dic83—21no—
655C22⋊Dic83—21no—
656C22⋊Dic83—21no—
657C22⋊Dic83—21no—
658C22⋊Dic83C2×D411yescharacteristic
659C22⋊Dic83C2×D411yescharacteristic
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)⋊C4C2×D411yescharacteristic
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
677C4×Dic83—21no—
678C4×Dic83—21no—
679C4×Dic83—21no—
680C4×Dic83C2411yescharacteristic
681C24×C83—21no—
682C24×C83—21no—
683C24×C83—21no—
684#41×C83—41no—
685#41×C83—41no—
686C2×Q8×C83C2411yescharacteristic
687C2×D4×C83—22no—
688C2×D4×C83—22no—
689C2×D4×C83—21no—
690C2×D4×C83—21no—
691C2×D4×C83—21no—
692C2×D4×C83—21no—
693C2×D4×C83—21no—
694C2×D4×C83—21no—
695C2×D4×C83—21no—
696C2×D4×C83—21no—
697C2×D4×C83—21no—
698C2×D4×C83—41no—
699C2×D4×C83—41no—
700C2×D4×C83—41no—
701C2×D4×C83—41no—
702C2×D4×C83—82no—
703C2×D4×C83C2×D411yescharacteristic
704C2×D4×C83C2411yescharacteristic
705C2×D4×C83C2411yescharacteristic
706C2×D4×C83C2411yescharacteristic
707C2×D4×C83C2411yescharacteristic
708C2×D4×C83C2411yescharacteristic
709C22×C4×C83—21no—
710C22×C4×C83—21no—
711C22×C4×C83—21no—
712C22×C4×C83C2411yescharacteristic
713C22×C4×C83C2411yescharacteristic
714SD16×C83—22no—
715SD16×C83—41no—
716SD16×C83—41no—
717D8×C83—22no—
718D8×C83—22no—
719D8×C83—41no—
720D8×C83—41no—
721D8×C83—41no—
722D8×C83—41no—
723M16×C83—41no—
724C2×C8×C83—41no—
725C2×C8×C83C2411yescharacteristic
726C2×C8×C83C2411yescharacteristic
727C2×C8×C83C2411yescharacteristic
728C2×C8×C83C2411yescharacteristic
729C4⋊C4×C83—21no—
730C4⋊C4×C83C2×D411yescharacteristic
731C4⋊C4×C83C2411yescharacteristic
732C4⋊C4×C83C2411yescharacteristic
733C22⋊C4×C83—21no—
734C22⋊C4×C83—21no—
735C22⋊C4×C83—21no—
736C22⋊C4×C83—21no—
737C22⋊C4×C83—21no—
738C22⋊C4×C83—21no—
739C22⋊C4×C83—21no—
740C22⋊C4×C83—21no—
741C22⋊C4×C83C2×D411yescharacteristic
742C22⋊C4×C83C2×D411yescharacteristic
743C42×C83C2411yescharacteristic
744C23×C83—21no—
745C23×C83—21no—
746C23×C83—21no—
747C23×C83—21no—
748C23×C83—21no—
749C23×C83—42no—
750C23×C83—42no—
751C23×C83—42no—
752C23×C83—42no—
753C23×C83—81no—
754C23×C83—81no—
755C23×C83—81no—
756C23×C83—81no—
757C23×C83—81no—
758C23×C83C22×D411yescharacteristic
759C23×C83C22×D411yescharacteristic
760C22×D83—22no—
761C22×D83—21no—
762C22×D83—24no—
763C22×D83—22no—
764C22×D83—21no—
765C22×D83—41no—
766C22×D83—42no—
767C22×D83—42no—
768C22×D83—42no—
769C22×D83—42no—
770C22×D83—42no—
771C22×D83—42no—
772C22×D83—42no—
773C22×D83—42no—
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—
789D4×C83—22no—
790D4×C83—21no—
791D4×C83—21no—
792D4×C83—21no—
793D4×C83—21no—
794D4×C83—21no—
795D4×C83—21no—
796D4×C83—21no—
797D4×C83—21no—
798D4×C83—21no—
799D4×C83—42no—
800D4×C83—42no—
801D4×C83—42no—
802D4×C83—81no—
803D4×C83—81no—
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—81no—
817C2×C4×C83—81no—
818C2×C4×C83—81no—
819C2×C4×C83C22×D411yescharacteristic
820C2×C4×C83C22×D411yescharacteristic
821C2×C4×C83C22×D411yescharacteristic
822C2×C4×C83C22×D411yescharacteristic
823C2×C4×C83C2511yescharacteristic
824C22⋊D83—24no—
825C22⋊D83—22no—
826C22⋊D83—22no—
827C22⋊D83—41no—
828C22⋊D83—41no—
829C22⋊D83—42no—
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—21no—
853C2×Dic83—41no—
854C2×Dic83—42no—
855C2×Dic83—42no—
856C2×Dic83—81no—
857C2×Dic83—81no—
858C2×Dic83—81no—
859C2×Dic83—81no—
860C2×Dic83—81no—
861C2×Dic83C22×D411yescharacteristic
862C2×Dic83C22×D411yescharacteristic
863C2×Dic83C22×D411yescharacteristic
864C2×Dic83C22×D411yescharacteristic
865C2×Dic83C22×D411yescharacteristic
866D332—22no—
867D332—21no—
868D332—21no—
869D332—21no—
870D332—41no—
871D332—42no—
872D332—81no—
873D332H(5,𝔽2)12yes—
874C4×D83—21no—
875C4×D83—21no—
876C4×D83—21no—
877C4×D83—21no—
878C4×D83—21no—
879C4×D83—21no—
880C4×D83—41no—
881C4×D83—41no—
882C4×D83—42no—
883C4×D83—42no—
884C4×D83—81no—
885C4×D83—81no—
886C4×D83—81no—
887C4×D83—81no—
888Dic166—21no—
889Dic166—21no—
890Dic166—21no—
891Dic166—21no—
892Dic166—41no—
893Dic166—81no—
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—41no—
922C22×C83—41no—
923C22×C83—41no—
924C22×C83—84no—
925C22×C83—162no—
926C22×C83—162no—
927C22×C83#57712yes—
928C22×C83C23×D411yescharacteristic
929C2×D83—21no—
930C2×D83—21no—
931C2×D83—21no—
932C2×D83—21no—
933C2×D83—22no—
934C2×D83—21no—
935C2×D83—21no—
936C2×D83—21no—
937C2×D83—21no—
938C2×D83—44no—
939C2×D83—41no—
940C2×D83—41no—
941C2×D83—41no—
942C2×D83—41no—
943C2×D83—41no—
944C2×D83—84no—
945C2×D83—84no—
946C2×D83—84no—
947C2×D83—84no—
948C2×D83—84no—
949C2×D83—162no—
950C2×D83#57612yes—
951C4×C83—21no—
952C4×C83—21no—
953C4×C83—21no—
954C4×C83—21no—
955C4×C83—41no—
956C4×C83—41no—
957C4×C83—41no—
958C4×C83C2×H(5,𝔽2)11yescharacteristic
959C4×C83C2×H(5,𝔽2)11yescharacteristic
960Dic83—21no—
961Dic83—21no—
962Dic83—21no—
963Dic83—21no—
964Dic83—21no—
965Dic83—41no—
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—81no—
979C2×C83#348411yescharacteristic
980C2×C83C2×#57611yescharacteristic
981C2×C83C2×#57711yescharacteristic
982D83—22no—
983D83—41no—
984D83—41no—
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#3264D8311yescharacteristic, complemented
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×SD16—831no—
1027C22×D8—831no—
1028C22×D8C2×D8311yescharacteristic, complemented
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—1661no—
1043#546—1661no—
1044#546—1661no—
1045#546—1661no—
1046#546C2×D8311yescharacteristic, complemented
1047D42—831no—
1048D42—831no—
1049D42—831no—
1050D42—1661no—
1051D42—1661no—
1052D42C2×D8311yescharacteristic
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#469C2×D8311yescharacteristic, complemented
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#465C2×D8311yescharacteristic, complemented
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#460—831no—
1122#459—831no—
1123#459C2×D8311yescharacteristic, complemented
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#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#447C2×D8311yescharacteristic, complemented
1159#447C2×D8311yescharacteristic, complemented
1160#442—831no—
1161#442C2×D8311yescharacteristic, complemented
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#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×Q8—831no—
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—1661no—
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×D4C22×D8311yescharacteristic
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—3322no—
1233C2×SD16—3322no—
1234C2×SD16—831no—
1235C2×SD16—831no—
1236C2×SD16—831no—
1237C2×SD16—831no—
1238C2×SD16—831no—
1239C2×SD16—831no—
1240C2×SD16—831no—
1241C2×SD16—831no—
1242C2×SD16—831no—
1243C2×SD16C22×D8311yescharacteristic
1244C2×SD16C22×D8311yescharacteristic
1245C2×SD16C22×D8311yescharacteristic, complemented
1246C2×D8—42no—
1247C2×D8—3322no—
1248C2×D8—831no—
1249C2×D8—831no—
1250C2×D8—831no—
1251C2×D8—831no—
1252C2×D8C22×D8311yescharacteristic
1253C2×D8C22×D8311yescharacteristic
1254C2×D8C22×D8311yescharacteristic
1255C2×D8C22×D8311yescharacteristic
1256C2×D8C22×D8311yescharacteristic, complemented
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—831no—
1276#124—831no—
1277#124—831no—
1278#124—1661no—
1279#124—1661no—
1280#124—1661no—
1281#124—1661no—
1282#124—1661no—
1283#124C22×D8311yescharacteristic, 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—831no—
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—1661no—
1309C22⋊Q8—1661no—
1310C22⋊Q8—1661no—
1311C22⋊Q8—1661no—
1312C22⋊Q8—1661no—
1313C22⋊Q8—1661no—
1314C22⋊Q8—1661no—
1315C22⋊Q8—1661no—
1316C22⋊Q8—1661no—
1317C22⋊Q8—1661no—
1318C22⋊Q8—1661no—
1319C22⋊Q8—1661no—
1320C22⋊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—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, complemented
1359#120—21no—
1360#120—21no—
1361#120—21no—
1362#120—831no—
1363#120—831no—
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×Q8—831no—
1382C4×D4—831no—
1383C4×D4—831no—
1384C4×D4—831no—
1385C4×D4—831no—
1386C4×D4—831no—
1387C4×D4—831no—
1388C4×D4—831no—
1389C4×D4—1661no—
1390C4×D4—1661no—
1391C4×D4—1661no—
1392C4×D4—1661no—
1393C4×D4—1661no—
1394C4×D4—1661no—
1395C4×D4—1661no—
1396C4×D4—1661no—
1397C4×D4C22×D8311yescharacteristic
1398C4×D4C22×D8311yescharacteristic
1399C4×D4C22×D8311yescharacteristic, complemented
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—21no—
1408C2×C22⋊C4—1661no—
1409C2×C22⋊C4—1661no—
1410C2×C22⋊C4—1661no—
1411C2×C22⋊C4—1661no—
1412C2×C22⋊C4—1661no—
1413C2×C22⋊C4—1661no—
1414C2×C22⋊C4—1661no—
1415C2×C22⋊C4—1661no—
1416C2×C22⋊C4—1661no—
1417#107—831no—
1418#107—831no—
1419#107—831no—
1420#107—831no—
1421#106—831no—
1422#106—831no—
1423#106—831no—
1424#106C22×D8311yescharacteristic, complemented
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#103—831no—
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#102C22×D8311yescharacteristic
1457#102C22×D8311yescharacteristic
1458#102C22×D8311yescharacteristic, complemented
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—21no—
1480C24—3324no—
1481C24—831no—
1482C24—6642no—
1483C24—6642no—
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—3321no—
1506C2×Q8—3321no—
1507C2×Q8—831no—
1508C2×Q8—831no—
1509C2×Q8—831no—
1510C2×Q8—1661no—
1511C2×Q8—1661no—
1512C2×Q8—1661no—
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—21no—
1525C2×D4—41no—
1526C2×D4—41no—
1527C2×D4—41no—
1528C2×D4—41no—
1529C2×D4—82no—
1530C2×D4—3321no—
1531C2×D4—3324no—
1532C2×D4—3324no—
1533C2×D4—3324no—
1534C2×D4—3324no—
1535C2×D4—3324no—
1536C2×D4—3324no—
1537C2×D4—3321no—
1538C2×D4—3321no—
1539C2×D4—3321no—
1540C2×D4—3321no—
1541C2×D4—3321no—
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—1662no—
1564C2×D4—1662no—
1565C2×D4—1662no—
1566C2×D4—1661no—
1567C2×D4—1661no—
1568C2×D4—1661no—
1569C2×D4—1661no—
1570C2×D4—1661no—
1571C2×D4—1661no—
1572C2×D4—1662no—
1573C2×D4—1661no—
1574C2×D4—1661no—
1575C2×D4—1661no—
1576C2×D4—1661no—
1577C2×D4—1661no—
1578C2×D4—1661no—
1579C2×D4—1662no—
1580C2×D4—1661no—
1581C2×D4D4×D8311yescharacteristic
1582C2×D4C23×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—41no—
1617SD16—41no—
1618SD16—3321no—
1619SD16—3321no—
1620SD16—3321no—
1621SD16—3321no—
1622SD16—3321no—
1623SD16—3321no—
1624SD16—1662no—
1625SD16—1662no—
1626SD16—1662no—
1627D8—22no—
1628D8—22no—
1629D8—41no—
1630D8—41no—
1631D8—41no—
1632D8—41no—
1633D8—3321no—
1634D8—3321no—
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—831no—
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—1661no—
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—21no—
1689C22⋊C4—831no—
1690C22⋊C4—831no—
1691C22⋊C4—831no—
1692C22⋊C4—831no—
1693C22⋊C4—831no—
1694C22⋊C4—831no—
1695C22⋊C4—831no—
1696C22⋊C4—831no—
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—831no—
1727C42—1661no—
1728C42—1661no—
1729C42—1661no—
1730C42C23×D8311yescharacteristic
1731C23—21no—
1732C23—21no—
1733C23—21no—
1734C23—21no—
1735C23—21no—
1736C23—42no—
1737C23—42no—
1738C23—42no—
1739C23—42no—
1740C23—81no—
1741C23—81no—
1742C23—81no—
1743C23—81no—
1744C23—81no—
1745C23—3321no—
1746C23—3322no—
1747C23—3322no—
1748C23—3322no—
1749C23—3322no—
1750C23—3322no—
1751C23—3322no—
1752C23—3322no—
1753C23—3322no—
1754C23—831no—
1755C23—831no—
1756C23—831no—
1757C23—6641no—
1758C23—6641no—
1759C23—6641no—
1760C23—6641no—
1761C23—6641no—
1762C23—6641no—
1763C23—6641no—
1764C23—6641no—
1765C23—6641no—
1766C23—66416no—
1767C23—1662no—
1768C23—1664no—
1769C23—1661no—
1770C23—1662no—
1771C23—1661no—
1772C23C2×D4×D8311yescharacteristic
1773C23C2×D4×D8311yescharacteristic
1774Q8—21no—
1775Q8—21no—
1776Q8—3321no—
1777Q8—6641no—
1778Q8—6641no—
1779Q8—6641no—
1780Q8—1661no—
1781Q8—1661no—
1782Q8—1661no—
1783Q8—1661no—
1784D4—22no—
1785D4—21no—
1786D4—21no—
1787D4—21no—
1788D4—21no—
1789D4—21no—
1790D4—21no—
1791D4—21no—
1792D4—21no—
1793D4—21no—
1794D4—42no—
1795D4—42no—
1796D4—42no—
1797D4—81no—
1798D4—81no—
1799D4—81no—
1800D4—81no—
1801D4—81no—
1802D4—81no—
1803D4—3322no—
1804D4—3321no—
1805D4—3322no—
1806D4—3322no—
1807D4—3322no—
1808D4—3322no—
1809D4—3322no—
1810D4—3322no—
1811D4—3322no—
1812D4—3321no—
1813D4—3321no—
1814D4—3322no—
1815D4—3322no—
1816D4—3322no—
1817D4—832no—
1818D4—6641no—
1819D4—6641no—
1820D4—6641no—
1821D4—6641no—
1822D4—6641no—
1823D4—6641no—
1824D4—6641no—
1825D4—6641no—
1826D4—6641no—
1827D4—1662no—
1828D4—1662no—
1829D4—1664no—
1830D4—1662no—
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—81no—
1843C2×C4—81no—
1844C2×C4—81no—
1845C2×C4—3322no—
1846C2×C4—3321no—
1847C2×C4—3321no—
1848C2×C4—3322no—
1849C2×C4—3322no—
1850C2×C4—3322no—
1851C2×C4—3321no—
1852C2×C4—831no—
1853C2×C4—831no—
1854C2×C4—831no—
1855C2×C4—831no—
1856C2×C4—831no—
1857C2×C4—6641no—
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—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×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—41no—
1909C22—41no—
1910C22—41no—
1911C22—84no—
1912C22—162no—
1913C22—162no—
1914C22—13282no—
1915C22—3324no—
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#1912851112yes—
1937C22C22×D4×D8311yescharacteristic
1938C4—21no—
1939C4—21no—
1940C4—21no—
1941C4—21no—
1942C4—41no—
1943C4—41no—
1944C4—41no—
1945C4—3321no—
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—81no—
1965C2—3321no—
1966C2—3322no—
1967C2—3321no—
1968C2—6641no—
1969C2—1662no—
1970C2#2492109111yescharacteristic
1971C2#576×D8311yescharacteristic
1972C2C2×#1912851111yescharacteristic
subgroupG/H
centerC22C22×D4×D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC83×#3264C2
socleC22×C83C23×D4
hypercenter#3264D83
hypocenterC83#61629
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3264

Complements

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

NH ≅ G/Ntype
1. #24921683C2semidirect
2. #24921091C2semidirect
3. #24919548C2semidirect
4. #24919546C2semidirect
5. #24919429C2semidirect
6. #24919419C2semidirect
7. #24919287C2semidirect
8. #24919282C2semidirect
9. #24919279C2semidirect
10. #24919269C2semidirect
11. #24919176C2semidirect
12. #24919173C2semidirect
13. #24919148C2semidirect
14. #24919144C2semidirect
15. #24918957C2semidirect
16. #24918952C2semidirect
17. #24918936C2semidirect
18. #24918554C2semidirect
19. #24918552C2semidirect
20. #24918312C2semidirect
21. #24918310C2semidirect
22. #24918239C2semidirect
23. #24918225C2semidirect
24. #24917645C2semidirect
25. #24917644C2semidirect
26. #24916766C2semidirect
27. #24916762C2semidirect
28. #450×D83C2semidirect
29. C2×#19127833C2semidirect
30. #24916514C2semidirect
31. C83×#3264C2semidirect
32. C2×#14581837C22semidirect
34. C2×#14581816C22semidirect
35. C2×#14581812C22semidirect
36. C2×#14581811C22semidirect
37. C2×SD16×D83C22semidirect
38. C2×SD16×D83C22semidirect
39. C22×#13050575C22semidirect
42. #19128409C22semidirect
43. #19128408C22semidirect
44. #19128359C22semidirect
45. #19128358C22semidirect
46. #19128356C22semidirect
47. #19128351C22semidirect
48. #19128348C22semidirect
50. #19128346C22semidirect
52. #19128345C22semidirect
57. #19128336C22semidirect
60. D4×C22⋊D83C22semidirect
63. #19128320C22semidirect
64. #19128316C22semidirect
68. #19128280C22semidirect
69. #19128279C22semidirect
70. #19128267C22semidirect
71. #19128264C22semidirect
76. C22⋊Q8×D83C22semidirect
77. C2×#14581763C22semidirect
80. #19128173C22semidirect
81. #19128089C22semidirect
82. #19128084C22semidirect
83. #19128083C22semidirect
84. #19128061C22semidirect
85. #19128059C22semidirect
86. #19128047C22semidirect
87. #19128046C22semidirect
88. #19128045C22semidirect
89. #19128041C22semidirect
90. #19128037C22semidirect
91. #19128033C22semidirect
92. #19128023C22semidirect
93. #19128023C22semidirect
94. #19128021C22semidirect
95. #19128017C22semidirect
96. #19128017C22semidirect
97. #19128015C22semidirect
98. #19128013C22semidirect
99. #19128013C22semidirect
100. #19127991C22semidirect
101. #19127990C22semidirect
102. #19127982C22semidirect
103. #19127979C22semidirect
104. #19127953C22semidirect
105. #19127947C22semidirect
106. #19127944C22semidirect
107. #19127942C22semidirect
108. #19127940C22semidirect
109. #19127935C22semidirect
110. #19127934C22semidirect
111. #19127934C22semidirect
112. #19127934C22semidirect
113. #19127933C22semidirect
114. #19127929C22semidirect
115. #19127929C22semidirect
116. #19127928C22semidirect
117. #19127928C22semidirect
118. #19127924C22semidirect
119. #19127921C22semidirect
120. #19127916C22semidirect
121. #19127915C22semidirect
122. #19127914C22semidirect
123. #19127914C22semidirect
124. #19127913C22semidirect
125. #19127899C22semidirect
126. #19127898C22semidirect
127. #19127894C22semidirect
128. #19127865C22semidirect
129. #19127864C22semidirect
130. #19127860C22semidirect
131. #19127860C22semidirect
132. #19127858C22semidirect
133. #19127854C22semidirect
134. #19127853C22semidirect
135. #19127853C22semidirect
136. #19127852C22semidirect
137. #19127852C22semidirect
138. #19127852C22semidirect
139. #19127851C22semidirect
140. #19127850C22semidirect
141. #19127850C22semidirect
142. #19127850C22semidirect
143. #19127847C22semidirect
144. #19127846C22semidirect
145. #19127844C22semidirect
146. #19127843C22semidirect
147. #19127843C22semidirect
148. #19127843C22semidirect
149. #19127843C22semidirect
150. #19127838C22semidirect
153. #19127833C22semidirect
154. #19127833C22semidirect
155. #19127833C22semidirect
156. #19127833C22semidirect
157. #19127833C22semidirect
158. #19127833C22semidirect
159. #19127833C22semidirect
160. #19127810C22semidirect
161. #19127803C22semidirect
162. #19127802C22semidirect
163. C4×#13050578C22semidirect
164. #19127786C22semidirect
165. D8×Dic83C22semidirect
166. C4×#13050575C22semidirect
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×D8×C83C22semidirect
190. #546×C83C22semidirect
192. #496×C83C22semidirect
193. #469×C83C22semidirect
194. #465×C83C22semidirect
195. #463×C83C22semidirect
196. #459×C83C22semidirect
197. #450×C83C22semidirect
198. #449×C83C22semidirect
199. #447×C83C22semidirect
200. #447×C83C22semidirect
201. #442×C83C22semidirect
202. #435×C83C22semidirect
213. C2×#13050589C23semidirect
237. C2×Dic332C23semidirect
238. C2×#13050580C23semidirect
243. C2×#13050578C23semidirect
244. C2×#13050578C23semidirect
245. C2×#13050578C23semidirect
255. C2×#13050573C23semidirect
257. C22×C83⋊C8C23semidirect
260. C2×C8×D83C23semidirect
261. #14581792C23semidirect
262. #14581791C23semidirect
272. #14581779C23semidirect
300. #14581771C23semidirect
313. #14581768C23semidirect
344. #14581763C23semidirect
363. Q8×Dic83C23semidirect
364. C4×Dic166C23semidirect
370. D4×Dic83C23semidirect
383. C2×C4⋊Dic83C23semidirect
386. C4⋊C4×D83C23semidirect
396. #14581726C23semidirect
397. #14581726C23semidirect
398. #14581726C23semidirect
399. #14581725C23semidirect
400. #14581723C23semidirect
401. #14581723C23semidirect
402. #14581723C23semidirect
403. C4⋊(C83⋊C8)C23semidirect
404. Dic83⋊C8C23semidirect
405. Dic83⋊C8C23semidirect
406. #14581717C23semidirect
407. #14581717C23semidirect
408. #14581717C23semidirect
409. #14581717C23semidirect
410. #14581716C23semidirect
411. #14581715C23semidirect
412. #14581715C23semidirect
425. #14581713C23semidirect
426. #14581713C23semidirect
427. #14581713C23semidirect
428. #14581713C23semidirect
429. #14581713C23semidirect
433. C22⋊(C83⋊C8)C23semidirect
440. (C2×D83)⋊C8C23semidirect
441. (C2×D83)⋊C8C23semidirect
442. #14581702C23semidirect
443. C4×C83⋊C8C23semidirect
444. C8×Dic83C23semidirect
445. C2×#41×C83C23semidirect
453. C2×SD16×C83C23semidirect
459. C2×D8×C83C23semidirect
460. C2×D8×C83C23semidirect
461. C2×M16×C83C23semidirect
464. #124×C83C23semidirect
471. #121×C83C23semidirect
477. C4×D4×C83C23semidirect
479. #106×C83C23semidirect
480. C4⋊C8×C83C23semidirect
481. #103×C83C23semidirect
484. #102×C83C23semidirect
485. #102×C83C23semidirect
486. #102×C83C23semidirect
488. C22⋊C8×C83C23semidirect
489. #97×C83C23semidirect
1004. #3264D83semidirect
1018. C83#61629semidirect
1022. C2×AGL(1,ℤ/8)C2×D83semidirect
1028. C22×D8C2×D83semidirect
1046. #546C2×D83semidirect
1073. #496C2×D83semidirect
1097. #469C2×D83semidirect
1111. #465C2×D83semidirect
1119. #463C2×D83semidirect
1123. #459C2×D83semidirect
1139. #450C2×D83semidirect
1147. #449C2×D83semidirect
1158. #447C2×D83semidirect
1159. #447C2×D83semidirect
1161. #442C2×D83semidirect
1171. #435C2×D83semidirect
1201. C2×#41C22×D83semidirect
1245. C2×SD16C22×D83semidirect
1256. C2×D8C22×D83semidirect
1257. C2×D8C22×D83semidirect
1259. C2×M16C22×D83semidirect
1283. #124C22×D83semidirect
1358. #121C22×D83semidirect
1399. C4×D4C22×D83semidirect
1424. #106C22×D83semidirect
1428. C4⋊C8C22×D83semidirect
1436. #103C22×D83semidirect
1458. #102C22×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
#249216832
#249210912
#249195482
#249195462
#249194292
#249194192
#249192872
#249192822
#249192792
#249192692
#249191762
#249191732
#249191482
#249191442
#249189572
#249189522
#249189362
#249185542
#249185522
#249183122
#249183102
#249182392
#249182252
#249176452
#249176442
#249167662
#249167622
#450×D832
C2×#191278332
#249165142
C83×#32642
#6162983