Finite Group Databasebeta

← #3312×D83 #36281002

Subgroups — #3312×D83 #36281002

Order 21248.

2094 conjugacy classes of subgroups.

The subgroup lattice has 1778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#552×D83C211yesmaximal, characteristic
2D4×Q8×D83C211yesmaximal, characteristic
3#24919521C211yesmaximal, characteristic, complemented
4#24919520C211yesmaximal, characteristic, complemented
5#24919519C211yesmaximal, characteristic, complemented
6#24919518C211yesmaximal, characteristic, complemented
7#24919517C211yesmaximal, characteristic, complemented
8#24919516C211yesmaximal, characteristic, complemented
9#24919515C211yesmaximal, characteristic, complemented
10#24919514C211yesmaximal, characteristic, complemented
11#24919513C211yesmaximal, characteristic, complemented
12#24919512C211yesmaximal, characteristic, complemented
13#24919511C211yesmaximal, characteristic, complemented
14#24919510C211yesmaximal, characteristic, complemented
15#24919509C211yesmaximal, characteristic, complemented
16#24919508C211yesmaximal, characteristic, complemented
17#24919507C211yesmaximal, characteristic, complemented
18#491×D83C211yesmaximal, characteristic, complemented
19#485×D83C211yesmaximal, characteristic, complemented
20#483×D83C211yesmaximal, characteristic, complemented
21#479×D83C211yesmaximal, characteristic, complemented
22#470×D83C211yesmaximal, characteristic, complemented
23#467×D83C211yesmaximal, characteristic, complemented
24#462×D83C211yesmaximal, characteristic, complemented
25#451×D83C211yesmaximal, characteristic, complemented
26#451×D83C211yesmaximal, characteristic, complemented
27#441×D83C211yesmaximal, characteristic, complemented
28#435×D83C211yesmaximal, characteristic
29#419×D83C211yesmaximal, characteristic, complemented
30C2×#103×D83C211yesmaximal, characteristic, complemented
31C83×#3312C211yesmaximal, characteristic, complemented
32C22×Q8×D83C2211yescharacteristic
33C22×Q8×D83C2211yescharacteristic
34C2×Q16×D83C2211yescharacteristic
35C2×Q16×D83C2211yescharacteristic
36C2×Q16×D83C2211yescharacteristic
37C2×M16×D83C2211yescharacteristic
38C22×C8×D83C2211yescharacteristic
39#19128393C2211yescharacteristic
40#19128392C2211yescharacteristic
41#19128391C2211yescharacteristic
42#19128390C2211yescharacteristic
43#19128389C2211yescharacteristic
44#19128388—21no—
45#19128387—21no—
46#19128386C2211yescharacteristic
47#19128385C2211yescharacteristic
48#19128384—21no—
49#19128383—21no—
50Q8×D332C2211yescharacteristic
51D4×Dic166—21no—
52D4×Dic166C2211yescharacteristic
53#19128366—21no—
54#19128366C2211yescharacteristic
55Q8×C22⋊D83C2211yescharacteristic
56Q8×C22⋊D83C2211yescharacteristic
57#19128364—21no—
58#19128364—21no—
59#19128364C2211yescharacteristic
60#19128364C2211yescharacteristic
61C4⋊Q8×D83—21no—
62C4⋊Q8×D83C2211yescharacteristic
63#126×D83—21no—
64#125×D83—21no—
65#125×D83C2211yescharacteristic
66#123×D83—21no—
67C22⋊Q8×D83—21no—
68C22⋊Q8×D83—21no—
69C22⋊Q8×D83C2211yescharacteristic
70C22⋊Q8×D83C2211yescharacteristic
71C22⋊Q8×D83C2211yescharacteristic
72C22⋊Q8×D83C2211yescharacteristic
73C4×Q8×D83C2211yescharacteristic
74C4×Q8×D83C2211yescharacteristic
75C4×D4×D83—21no—
76C4×D4×D83C2211yescharacteristic
77#117×D83—21no—
78#117×D83C2211yescharacteristic
79C2×C4⋊C4×D83C2211yescharacteristic
80#19128071C2211yescharacteristic, complemented
81#19128070C2211yescharacteristic, complemented
82#19128069C2211yescharacteristic, complemented
83#19128068C2211yescharacteristic, complemented
84#19128068C2211yescharacteristic, complemented
85#19128068C2211yescharacteristic, complemented
86#19128068C2211yescharacteristic, complemented
87#19128045C2211yescharacteristic, complemented
88#19128044C2211yescharacteristic, complemented
89#19128043C2211yescharacteristic, complemented
90#19128042C2211yescharacteristic, complemented
91#19128041C2211yescharacteristic, complemented
92#19128040C2211yescharacteristic, complemented
93#19128039C2211yescharacteristic, complemented
94#19128033C2211yescharacteristic, complemented
95#19128033C2211yescharacteristic, complemented
96#19128032C2211yescharacteristic, complemented
97#19128031C2211yescharacteristic, complemented
98#19128030C2211yescharacteristic, complemented
99#19128030C2211yescharacteristic, complemented
100#19128029C2211yescharacteristic, complemented
101#19128011C2211yescharacteristic, complemented
102#19128010C2211yescharacteristic, complemented
103#19128009C2211yescharacteristic, complemented
104#19128008C2211yescharacteristic, complemented
105#19128007C2211yescharacteristic, complemented
106#19128006C2211yescharacteristic, complemented
107#19128005C2211yescharacteristic, complemented
108#19127960C2211yescharacteristic, complemented
109#19127959C2211yescharacteristic, complemented
110#19127958C2211yescharacteristic, complemented
111#19127958C2211yescharacteristic, complemented
112#19127957C2211yescharacteristic, complemented
113#19127957C2211yescharacteristic, complemented
114#19127956C2211yescharacteristic, complemented
115#19127943C2211yescharacteristic, complemented
116#19127942C2211yescharacteristic, complemented
117#19127941C2211yescharacteristic, complemented
118#19127941C2211yescharacteristic, complemented
119#19127940C2211yescharacteristic, complemented
120#19127940C2211yescharacteristic, complemented
121#19127939C2211yescharacteristic, complemented
122#19127912C2211yescharacteristic, complemented
123#19127911C2211yescharacteristic, complemented
124#19127910C2211yescharacteristic, complemented
125#19127910C2211yescharacteristic, complemented
126#19127909C2211yescharacteristic, complemented
127#19127909C2211yescharacteristic, complemented
128#19127908C2211yescharacteristic, complemented
129#19127859C2211yescharacteristic, complemented
130#19127859C2211yescharacteristic, complemented
131#19127858C2211yescharacteristic, complemented
132#19127858C2211yescharacteristic, complemented
133#19127858C2211yescharacteristic, complemented
134#19127858C2211yescharacteristic, complemented
135#19127857C2211yescharacteristic, complemented
136#19127857C2211yescharacteristic, complemented
137#19127856C2211yescharacteristic, complemented
138#19127856C2211yescharacteristic, complemented
139#19127855C2211yescharacteristic, complemented
140#19127855C2211yescharacteristic, complemented
141#19127855C2211yescharacteristic, complemented
142#19127855C2211yescharacteristic, complemented
143#19127809C2211yescharacteristic, complemented
144#19127808C2211yescharacteristic, complemented
145#19127807C2211yescharacteristic, complemented
146#19127806C2211yescharacteristic, complemented
147#19127806C2211yescharacteristic, complemented
148#19127805C2211yescharacteristic, complemented
149#19127805C2211yescharacteristic, complemented
150#19127775C2211yescharacteristic
151#19127774C2211yescharacteristic
152#19127773C2211yescharacteristic
153#19127772C2211yescharacteristic
154#19127771C2211yescharacteristic
155#19127770C2211yescharacteristic
156#19127769C2211yescharacteristic
157#107×D83C2211yescharacteristic
158#106×D83C2211yescharacteristic
159#106×D83C2211yescharacteristic
160C4⋊C8×D83C2211yescharacteristic
161#19127711C2211yescharacteristic, complemented
162#19127710C2211yescharacteristic, complemented
163#19127709C2211yescharacteristic, complemented
164#19127708C2211yescharacteristic, complemented
165#19127708C2211yescharacteristic, complemented
166#19127708C2211yescharacteristic, complemented
167#19127708C2211yescharacteristic, complemented
168C2×#14581717C2211yescharacteristic, complemented
169C2×#14581716C2211yescharacteristic, complemented
170C2×#14581715C2211yescharacteristic, complemented
171#103×D83C2211yescharacteristic
172#103×D83C2211yescharacteristic
173#103×D83C2211yescharacteristic
174#103×D83C2211yescharacteristic
175#103×D83C2211yescharacteristic
176#103×D83C2211yescharacteristic
177#103×D83C2211yescharacteristic
178#103×D83C2211yescharacteristic
179#103×D83C2211yescharacteristic
180#103×D83C2211yescharacteristic
181#103×D83C2211yescharacteristic, complemented
182#103×D83C2211yescharacteristic, complemented
183#103×D83C2211yescharacteristic, complemented
184#103×D83C2211yescharacteristic, complemented
185C22⋊C8×D83C2211yescharacteristic
186C22⋊C8×D83C2211yescharacteristic
187#97×D83C2211yescharacteristic
188#552×C83C2211yescharacteristic
189D4×Q8×C83C2211yescharacteristic
190#491×C83C2211yescharacteristic, complemented
191#485×C83C2211yescharacteristic, complemented
192#483×C83C2211yescharacteristic, complemented
193#479×C83C2211yescharacteristic, complemented
194#470×C83C2211yescharacteristic, complemented
195#467×C83C2211yescharacteristic, complemented
196#462×C83C2211yescharacteristic, complemented
197#451×C83C2211yescharacteristic, complemented
198#451×C83C2211yescharacteristic, complemented
199#441×C83C2211yescharacteristic, complemented
200#435×C83C2211yescharacteristic
201#419×C83C2211yescharacteristic, complemented
202C2×#103×C83C2211yescharacteristic, complemented
203C22×Dic166—21no—
204C22×Dic166—21no—
205C22×Dic166C2311yescharacteristic
206C22×Dic166C2311yescharacteristic
207C2×Q8×D83—21no—
208C2×Q8×D83—21no—
209C2×Q8×D83—21no—
210C2×Q8×D83—21no—
211C2×Q8×D83—24no—
212C2×Q8×D83—24no—
213C2×Q8×D83—42no—
214C2×Q8×D83—42no—
215C2×Q8×D83C2311yescharacteristic
216C2×Q8×D83C2311yescharacteristic
217C2×Q8×D83C2311yescharacteristic
218C2×Q8×D83C2311yescharacteristic
219C2×Q8×D83C2311yescharacteristic
220C2×Q8×D83C2311yescharacteristic
221C2×Q8×D83C2311yescharacteristic
222C2×Q8×D83C2311yescharacteristic
223C2×D4×D83D411yescharacteristic
224C22×C4×D83—21no—
225C22×C4×D83—21no—
226C22×C4×D83—21no—
227C22×C4×D83C2311yescharacteristic
228C22×C4×D83C2311yescharacteristic
229C2×Dic332C2311yescharacteristic
230C2×Dic332C2311yescharacteristic
231C2×Dic332C2311yescharacteristic
232C2×#13050580C2311yescharacteristic
233C2×#13050580C2311yescharacteristic
234C2×#13050580C2311yescharacteristic
235C2×#13050580C2311yescharacteristic
236C2×#13050580C2311yescharacteristic
237C2×#13050580C2311yescharacteristic
238Q16×D83—24no—
239Q16×D83—42no—
240Q16×D83—42no—
241C2×#13050574C2311yescharacteristic
242C2×#13050573C2311yescharacteristic
243C2×#13050573C2311yescharacteristic
244M16×D83—42no—
245C22×C83⋊C8C2311yescharacteristic
246C2×C8×D83—42no—
247C2×C8×D83C2311yescharacteristic
248C2×C8×D83C2311yescharacteristic
249C2×C8×D83C2311yescharacteristic
250C2×C8×D83C2311yescharacteristic
251C2×C8×D83C2311yescharacteristic
252C2×C8×D83C2311yescharacteristic
253#14581792—21no—
254#14581792C2311yescharacteristic
255#14581791—21no—
256#14581791—21no—
257#14581791—21no—
258#14581791—21no—
259#14581791—21no—
260#14581791—21no—
261#14581790—21no—
262#14581790—21no—
263#14581790C2311yescharacteristic
264#14581790C2311yescharacteristic
265#14581787—21no—
266#14581787—21no—
267#14581787—21no—
268#14581786—21no—
269#14581785—21no—
270#14581785—21no—
271#14581785—21no—
272#14581784—21no—
273#14581784C2311yescharacteristic
274#14581783—21no—
275#14581783—21no—
276#14581783C2311yescharacteristic
277#14581783C2311yescharacteristic
278#14581782—21no—
279#14581782—21no—
280#14581782—21no—
281#14581782—21no—
282#14581782—21no—
283#14581782—21no—
284#14581777—21no—
285#14581777—21no—
286#14581776—21no—
287#14581775—21no—
288#14581774—21no—
289#14581774—21no—
290#14581773—21no—
291#14581772—21no—
292#14581772—21no—
293#14581772C2311yescharacteristic
294#14581772C2311yescharacteristic
295#14581772C2311yescharacteristic
296#14581772C2311yescharacteristic
297#14581771—21no—
298#14581771—21no—
299#14581771C2311yescharacteristic
300#14581771C2311yescharacteristic
301#14581771C2311yescharacteristic
302#14581771C2311yescharacteristic
303#14581770—21no—
304#14581770—21no—
305#14581770—21no—
306#14581770—21no—
307#14581770—21no—
308#14581770—21no—
309#14581770—21no—
310#14581770—21no—
311#14581769—21no—
312#14581769—21no—
313#14581769—21no—
314#14581769—21no—
315#14581769—21no—
316#14581769—21no—
317#14581769—21no—
318#14581769—21no—
319#14581768—21no—
320#14581768—21no—
321#14581768C2311yescharacteristic
322#14581768C2311yescharacteristic
323#14581768C2311yescharacteristic
324#14581768C2311yescharacteristic
325Q8×Dic83C2311yescharacteristic
326Q8×Dic83C2311yescharacteristic
327C4×Dic166—21no—
328C4×Dic166—21no—
329C4×Dic166C2311yescharacteristic
330C4×Dic166C2311yescharacteristic
331#14581757—21no—
332#14581757—21no—
333#14581757C2311yescharacteristic
334#14581757C2311yescharacteristic
335C4×D332—21no—
336C4×D332C2311yescharacteristic
337D4×Dic83—21no—
338D4×Dic83D411yescharacteristic
339#14581754—21no—
340#14581754D411yescharacteristic
341C4×C22⋊D83—21no—
342C4×C22⋊D83—21no—
343C4×C22⋊D83C2311yescharacteristic
344C4×C22⋊D83C2311yescharacteristic
345(C22⋊D83)⋊C4—21no—
346(C22⋊D83)⋊C4—21no—
347(C22⋊D83)⋊C4D411yescharacteristic
348(C22⋊D83)⋊C4D411yescharacteristic
349#14581751—21no—
350#14581751C2311yescharacteristic
351#14581750—21no—
352#14581750—21no—
353#14581750C2311yescharacteristic
354#14581750C2311yescharacteristic
355#14581749—21no—
356#14581749—21no—
357#14581749—21no—
358#14581748—21no—
359#14581748—21no—
360#14581748—21no—
361C2×C4⋊Dic83C2311yescharacteristic
362C2×Dic83⋊C4—21no—
363C4⋊C4×D83—21no—
364C4⋊C4×D83—21no—
365C4⋊C4×D83—21no—
366C4⋊C4×D83—21no—
367C4⋊C4×D83—21no—
368C4⋊C4×D83—21no—
369C4⋊C4×D83—21no—
370C4⋊C4×D83—21no—
371C4⋊C4×D83—21no—
372C4⋊C4×D83—21no—
373C4⋊C4×D83—21no—
374C4⋊C4×D83—21no—
375C4⋊C4×D83D411yescharacteristic
376C4⋊C4×D83C2311yescharacteristic
377C4⋊C4×D83C2311yescharacteristic
378C4⋊C4×D83C2311yescharacteristic
379C4⋊C4×D83C2311yescharacteristic
380C4⋊C4×D83C2311yescharacteristic
381C4⋊C4×D83C2311yescharacteristic
382C22⋊C4×D83—21no—
383C22⋊C4×D83—21no—
384C22⋊C4×D83—21no—
385C22⋊C4×D83—21no—
386C22⋊C4×D83—21no—
387C22⋊C4×D83D411yescharacteristic
388C22⋊C4×D83D411yescharacteristic
389C42×D83—21no—
390C42×D83—21no—
391C42×D83—21no—
392C42×D83C2311yescharacteristic
393#14581726C2311yescharacteristic
394#14581725C2311yescharacteristic
395#14581725C2311yescharacteristic
396#14581724C2311yescharacteristic
397#14581724C2311yescharacteristic
398#14581723C2311yescharacteristic
399#14581723C2311yescharacteristic
400#14581723C2311yescharacteristic
401#14581723C2311yescharacteristic
402C4⋊(C83⋊C8)C2311yescharacteristic
403Dic83⋊C8C2311yescharacteristic
404Dic83⋊C8C2311yescharacteristic
405#14581717C2311yescharacteristic
406#14581717C2311yescharacteristic
407#14581717C2311yescharacteristic
408#14581717C2311yescharacteristic
409#14581717C2311yescharacteristic
410#14581717C2311yescharacteristic
411#14581717C2311yescharacteristic
412#14581717C2311yescharacteristic
413#14581717C2311yescharacteristic
414#14581717C2311yescharacteristic
415#14581716C2311yescharacteristic
416#14581716C2311yescharacteristic
417#14581716C2311yescharacteristic
418#14581716C2311yescharacteristic
419#14581716C2311yescharacteristic
420#14581716C2311yescharacteristic
421#14581716C2311yescharacteristic
422#14581716C2311yescharacteristic
423#14581716C2311yescharacteristic
424#14581716C2311yescharacteristic
425#14581715C2311yescharacteristic
426#14581715C2311yescharacteristic
427#14581715C2311yescharacteristic
428#14581715C2311yescharacteristic
429#14581715C2311yescharacteristic
430#14581715C2311yescharacteristic
431#14581715C2311yescharacteristic
432#14581715C2311yescharacteristic
433#14581715C2311yescharacteristic
434#14581715C2311yescharacteristic
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#14581703C2311yescharacteristic
442#14581702C2311yescharacteristic
443#14581702C2311yescharacteristic
444C22×Q8×C83C2311yescharacteristic
445C22×Q8×C83C2311yescharacteristic
446C2×Q16×C83C2311yescharacteristic
447C2×Q16×C83C2311yescharacteristic
448C2×Q16×C83C2311yescharacteristic
449C2×M16×C83C2311yescharacteristic
450C22×C8×C83C2311yescharacteristic
451C4⋊Q8×C83—21no—
452C4⋊Q8×C83C2311yescharacteristic
453#126×C83—21no—
454#125×C83—21no—
455#125×C83C2311yescharacteristic
456#123×C83—21no—
457C22⋊Q8×C83—21no—
458C22⋊Q8×C83—21no—
459C22⋊Q8×C83C2311yescharacteristic
460C22⋊Q8×C83C2311yescharacteristic
461C22⋊Q8×C83C2311yescharacteristic
462C22⋊Q8×C83C2311yescharacteristic
463C4×Q8×C83C2311yescharacteristic
464C4×Q8×C83C2311yescharacteristic
465C4×D4×C83—21no—
466C4×D4×C83C2311yescharacteristic
467#117×C83—21no—
468#117×C83C2311yescharacteristic
469C2×C4⋊C4×C83C2311yescharacteristic
470#107×C83C2311yescharacteristic
471#106×C83C2311yescharacteristic
472#106×C83C2311yescharacteristic
473C4⋊C8×C83C2311yescharacteristic
474#103×C83C2311yescharacteristic
475#103×C83C2311yescharacteristic
476#103×C83C2311yescharacteristic
477#103×C83C2311yescharacteristic
478#103×C83C2311yescharacteristic
479#103×C83C2311yescharacteristic
480#103×C83C2311yescharacteristic
481#103×C83C2311yescharacteristic
482#103×C83C2311yescharacteristic
483#103×C83C2311yescharacteristic
484C22⋊C8×C83C2311yescharacteristic
485C22⋊C8×C83C2311yescharacteristic
486#97×C83C2311yescharacteristic
487C23×D83C2×D411yescharacteristic
488C23×D83C2×D411yescharacteristic
489C2×Dic166—21no—
490C2×Dic166—22no—
491C2×Dic166—22no—
492C2×Dic166—21no—
493C2×Dic166—21no—
494C2×Dic166—21no—
495C2×Dic166—21no—
496C2×Dic166—21no—
497C2×Dic166—21no—
498C2×Dic166—21no—
499C2×Dic166—21no—
500C2×Dic166—21no—
501C2×Dic166—41no—
502C2×Dic166—41no—
503C2×Dic166—44no—
504C2×Dic166—44no—
505C2×Dic166C2411yescharacteristic
506C2×Dic166C2411yescharacteristic
507C2×Dic166C2411yescharacteristic
508C2×Dic166C2411yescharacteristic
509Q8×D83—22no—
510Q8×D83—22no—
511Q8×D83—22no—
512Q8×D83—22no—
513Q8×D83—22no—
514Q8×D83—22no—
515Q8×D83—22no—
516Q8×D83—22no—
517Q8×D83—22no—
518Q8×D83—22no—
519Q8×D83—22no—
520Q8×D83—41no—
521Q8×D83—41no—
522Q8×D83—41no—
523Q8×D83—41no—
524Q8×D83—44no—
525Q8×D83—44no—
526Q8×D83—44no—
527Q8×D83—44no—
528Q8×D83#4114yes—
529C2×D332C2×D411yescharacteristic
530C2×C22⋊D83C2×D411yescharacteristic
531C2×C22⋊D83C2×D411yescharacteristic
532D4×D83—24no—
533C22×Dic83—21no—
534C22×Dic83—21no—
535C22×Dic83—21no—
536C22×Dic83C2×D411yescharacteristic
537C22×Dic83C2×D411yescharacteristic
538C2×C4×D83—21no—
539C2×C4×D83—22no—
540C2×C4×D83—22no—
541C2×C4×D83—22no—
542C2×C4×D83—22no—
543C2×C4×D83—21no—
544C2×C4×D83—21no—
545C2×C4×D83—21no—
546C2×C4×D83—21no—
547C2×C4×D83—21no—
548C2×C4×D83—21no—
549C2×C4×D83—21no—
550C2×C4×D83—21no—
551C2×C4×D83—21no—
552C2×C4×D83—21no—
553C2×C4×D83—21no—
554C2×C4×D83—21no—
555C2×C4×D83—21no—
556C2×C4×D83—44no—
557C2×C4×D83—44no—
558C2×C4×D83—44no—
559C2×C4×D83C2×D411yescharacteristic
560C2×C4×D83C2×D411yescharacteristic
561C2×C4×D83C2×D411yescharacteristic
562C2×C4×D83C2×D411yescharacteristic
563C2×C4×D83C2×D411yescharacteristic
564C2×C4×D83C2×D411yescharacteristic
565C2×C4×D83C2411yescharacteristic
566C2×C4×D83C2411yescharacteristic
567C2×C4×D83C2411yescharacteristic
568Dic332—22no—
569Dic332—41no—
570Dic332—41no—
571#13050580—22no—
572#13050580—22no—
573#13050580—41no—
574#13050580—41no—
575#13050580—41no—
576#13050580—41no—
577#13050574—41no—
578#13050573—41no—
579#13050573—41no—
580C2×C83⋊C8—41no—
581C2×C83⋊C8C2411yescharacteristic
582C2×C83⋊C8C2411yescharacteristic
583C2×C83⋊C8C2411yescharacteristic
584C2×C83⋊C8C2411yescharacteristic
585C8×D83—22no—
586C8×D83—22no—
587C8×D83—22no—
588C8×D83—22no—
589C8×D83—41no—
590C8×D83—41no—
591C4⋊Dic83—21no—
592C4⋊Dic83—21no—
593C4⋊Dic83—21no—
594C4⋊Dic83—21no—
595C4⋊Dic83—21no—
596C4⋊Dic83—21no—
597C4⋊Dic83—21no—
598C4⋊Dic83—21no—
599C4⋊Dic83—21no—
600C4⋊Dic83—21no—
601C4⋊Dic83—21no—
602C4⋊Dic83C2×D411yescharacteristic
603C4⋊Dic83C2411yescharacteristic
604C4⋊Dic83C2411yescharacteristic
605C4⋊Dic83C2411yescharacteristic
606C4⋊Dic83C2411yescharacteristic
607Dic83⋊C4—21no—
608Dic83⋊C4—21no—
609Dic83⋊C4—21no—
610Dic83⋊C4—21no—
611Dic83⋊C4—21no—
612Dic83⋊C4—21no—
613Dic83⋊C4—21no—
614Dic83⋊C4—21no—
615Dic83⋊C4—21no—
616Dic83⋊C4—21no—
617Dic83⋊C4—21no—
618Dic83⋊C4—21no—
619Dic83⋊C4—21no—
620Dic83⋊C4—21no—
621Dic83⋊C4—21no—
622Dic83⋊C4—21no—
623Dic83⋊C4—21no—
624Dic83⋊C4—21no—
625Dic83⋊C4—21no—
626Dic83⋊C4—21no—
627Dic83⋊C4—21no—
628Dic83⋊C4—21no—
629Dic83⋊C4—21no—
630Dic83⋊C4—21no—
631Dic83⋊C4—21no—
632Dic83⋊C4—21no—
633Dic83⋊C4C2×D411yescharacteristic
634Dic83⋊C4C2×D411yescharacteristic
635C22⋊Dic83—21no—
636C22⋊Dic83—21no—
637C22⋊Dic83—21no—
638C22⋊Dic83—21no—
639C22⋊Dic83—21no—
640C22⋊Dic83C2×D411yescharacteristic
641C22⋊Dic83C2×D411yescharacteristic
642(C2×D83)⋊C4—21no—
643(C2×D83)⋊C4—21no—
644(C2×D83)⋊C4—21no—
645(C2×D83)⋊C4—21no—
646(C2×D83)⋊C4—21no—
647(C2×D83)⋊C4—21no—
648(C2×D83)⋊C4—21no—
649(C2×D83)⋊C4—21no—
650(C2×D83)⋊C4—21no—
651(C2×D83)⋊C4—21no—
652(C2×D83)⋊C4C2×D411yescharacteristic
653(C2×D83)⋊C4C2×D411yescharacteristic
654(C2×D83)⋊C4C2×D411yescharacteristic
655(C2×D83)⋊C4C2×D411yescharacteristic
656C4×Dic83—21no—
657C4×Dic83—21no—
658C4×Dic83—21no—
659C4×Dic83—21no—
660C4×Dic83—21no—
661C4×Dic83—21no—
662C4×Dic83—21no—
663C4×Dic83—21no—
664C4×Dic83—21no—
665C4×Dic83C2×D411yescharacteristic
666C4×Dic83C2×D411yescharacteristic
667C4×Dic83C2411yescharacteristic
668C2×Q8×C83—21no—
669C2×Q8×C83—21no—
670C2×Q8×C83—22no—
671C2×Q8×C83—22no—
672C2×Q8×C83—41no—
673C2×Q8×C83—41no—
674C2×Q8×C83C2411yescharacteristic
675C2×Q8×C83C2411yescharacteristic
676C2×Q8×C83C2411yescharacteristic
677C2×Q8×C83C2411yescharacteristic
678C2×D4×C83C2×D411yescharacteristic
679C22×C4×C83—21no—
680C22×C4×C83—21no—
681C22×C4×C83—21no—
682C22×C4×C83C2411yescharacteristic
683C22×C4×C83C2411yescharacteristic
684Q16×C83—22no—
685Q16×C83—41no—
686Q16×C83—41no—
687M16×C83—41no—
688C2×C8×C83—41no—
689C2×C8×C83C2411yescharacteristic
690C2×C8×C83C2411yescharacteristic
691C2×C8×C83C2411yescharacteristic
692C2×C8×C83C2411yescharacteristic
693C4⋊C4×C83—21no—
694C4⋊C4×C83—21no—
695C4⋊C4×C83—21no—
696C4⋊C4×C83—21no—
697C4⋊C4×C83—21no—
698C4⋊C4×C83—21no—
699C4⋊C4×C83—21no—
700C4⋊C4×C83—21no—
701C4⋊C4×C83—21no—
702C4⋊C4×C83—21no—
703C4⋊C4×C83—21no—
704C4⋊C4×C83C2×D411yescharacteristic
705C4⋊C4×C83C2411yescharacteristic
706C4⋊C4×C83C2411yescharacteristic
707C4⋊C4×C83C2411yescharacteristic
708C4⋊C4×C83C2411yescharacteristic
709C22⋊C4×C83—21no—
710C22⋊C4×C83—21no—
711C22⋊C4×C83—21no—
712C22⋊C4×C83—21no—
713C22⋊C4×C83—21no—
714C22⋊C4×C83C2×D411yescharacteristic
715C22⋊C4×C83C2×D411yescharacteristic
716C42×C83—21no—
717C42×C83—21no—
718C42×C83—21no—
719C42×C83C2411yescharacteristic
720C23×C83C22×D411yescharacteristic
721C23×C83C22×D411yescharacteristic
722C22×D83—22no—
723C22×D83—22no—
724C22×D83—22no—
725C22×D83—22no—
726C22×D83—22no—
727C22×D83#13714yes—
728C22×D83C22×D411yescharacteristic
729C22×D83C22×D411yescharacteristic
730C22×D83C22×D411yescharacteristic
731Q8×C83—21no—
732Q8×C83—21no—
733Q8×C83—21no—
734Q8×C83—21no—
735Q8×C83—21no—
736Q8×C83—21no—
737Q8×C83—21no—
738Q8×C83—42no—
739Q8×C83—42no—
740Q8×C83C2×#4112yes—
741D4×C83—22no—
742C2×C4×C83—21no—
743C2×C4×C83—21no—
744C2×C4×C83—21no—
745C2×C4×C83—21no—
746C2×C4×C83—21no—
747C2×C4×C83—21no—
748C2×C4×C83—21no—
749C2×C4×C83—21no—
750C2×C4×C83—21no—
751C2×C4×C83—21no—
752C2×C4×C83—21no—
753C2×C4×C83—21no—
754C2×C4×C83—42no—
755C2×C4×C83—42no—
756C2×C4×C83—42no—
757C2×C4×C83C22×D411yescharacteristic
758C2×C4×C83C22×D411yescharacteristic
759C2×C4×C83C22×D411yescharacteristic
760C2×C4×C83C22×D411yescharacteristic
761C2×C4×C83C2511yescharacteristic
762C22⋊D83—22no—
763C22⋊D83—22no—
764C2×Dic83—21no—
765C2×Dic83—22no—
766C2×Dic83—22no—
767C2×Dic83—21no—
768C2×Dic83—21no—
769C2×Dic83—21no—
770C2×Dic83—21no—
771C2×Dic83—21no—
772C2×Dic83—21no—
773C2×Dic83—21no—
774C2×Dic83—42no—
775C2×Dic83—42no—
776C2×Dic83—42no—
777C2×Dic83C22×D411yescharacteristic
778C2×Dic83C22×D411yescharacteristic
779C2×Dic83C22×D411yescharacteristic
780C2×Dic83C22×D411yescharacteristic
781C2×Dic83C22×D411yescharacteristic
782D332—22no—
783C4×D83—22no—
784C4×D83—22no—
785C4×D83—24no—
786C4×D83—22no—
787C4×D83—22no—
788C4×D83—21no—
789C4×D83—21no—
790C4×D83—21no—
791C4×D83—21no—
792C4×D83—22no—
793C4×D83—22no—
794C4×D83—42no—
795C4×D83—42no—
796C4×D83—42no—
797C4×D83—42no—
798C4×D83—42no—
799C4×D83—42no—
800C4×D83—42no—
801C4×D83—42no—
802C4×D83—42no—
803C4×D83—42no—
804C4×D83—42no—
805C4×D83—42no—
806C4×D83—42no—
807C4×D83C2×#4112yes—
808C4×D83H(5,𝔽2)12yes—
809Dic166—21no—
810Dic166—24no—
811Dic166—21no—
812Dic166—21no—
813Dic166—21no—
814Dic166—21no—
815Dic166—21no—
816Dic166—21no—
817Dic166—42no—
818Dic166—42no—
819Dic166—42no—
820Dic166—42no—
821Dic166—42no—
822Dic166—42no—
823Dic166—42no—
824Dic166—42no—
825Dic166—42no—
826Dic166C2×#4112yes—
827C8×C83—21no—
828C8×C83—21no—
829C8×C83—21no—
830C8×C83—21no—
831C83⋊C8—21no—
832C83⋊C8—21no—
833C83⋊C8—21no—
834C83⋊C8—21no—
835C22×C83—21no—
836C22×C83—21no—
837C22×C83—21no—
838C22×C83—21no—
839C22×C83—21no—
840C22×C83C2×#13712yes—
841C22×C83C23×D411yescharacteristic
842C2×D83—21no—
843C2×D83—21no—
844C2×D83—28no—
845C2×D83—21no—
846C2×D83—21no—
847C2×D83—21no—
848C2×D83—44no—
849C2×D83#54612yes—
850C2×D83C2×#13712yes—
851C2×D83C2×#13712yes—
852C2×D83#57812yes—
853C4×C83—22no—
854C4×C83—21no—
855C4×C83—21no—
856C4×C83—21no—
857C4×C83—21no—
858C4×C83—41no—
859C4×C83—41no—
860C4×C83—41no—
861C4×C83—41no—
862C4×C83—41no—
863C4×C83—41no—
864C4×C83—41no—
865C4×C83C22×#4111yescharacteristic
866C4×C83C2×H(5,𝔽2)11yescharacteristic
867Dic83—22no—
868Dic83—21no—
869Dic83—21no—
870Dic83—21no—
871Dic83—21no—
872Dic83—41no—
873Dic83—41no—
874Dic83—41no—
875Dic83—41no—
876Dic83—41no—
877Dic83—41no—
878Dic83—41no—
879Dic83#54612yes—
880C2×#3312—831nomaximal, Sylow
881C2×C83—22no—
882C2×C83—41no—
883C2×C83C2×#54611yescharacteristic
884C2×C83C22×#13711yescharacteristic
885C2×C83C2×#57811yescharacteristic
886D83—22no—
887D83—41no—
888D83#331214yesdirect product factor
889C2×#552—831no—
890C2×D4×Q8—831no—
891#3312—831no—
892#3312—831no—
893#3312—831no—
894#3312—831no—
895#3312—831no—
896#3312—831no—
897#3312—831no—
898#3312—831no—
899#3312—831no—
900#3312—831no—
901#3312—831no—
902#3312—831no—
903#3312—831no—
904#3312—831no—
905#3312—831no—
906#3312D8311yescharacteristic, direct product factor
907C2×#491—831no—
908C2×#485—831no—
909C2×#483—831no—
910C2×#479—831no—
911C2×#470—831no—
912C2×#467—831no—
913C2×#462—831no—
914C2×#451—831no—
915C2×#451—831no—
916C2×#441—831no—
917C2×#435—831no—
918C2×#419—831no—
919C22×#103—831no—
920C83C2×#331211yescharacteristic, complemented, Sylow
921C23×Q8—831no—
922C23×Q8—831no—
923C22×Q16—831no—
924C22×Q16—831no—
925C22×Q16—831no—
926C22×M16—831no—
927C23×C8—831no—
928#552—831no—
929#552—831no—
930#552—831no—
931#552—831no—
932#552—831no—
933#552—831no—
934#552—831no—
935#552—1661no—
936#552—1661no—
937#552—1661no—
938#552—1661no—
939#552C2×D8311yescharacteristic
940D4×Q8—831no—
941D4×Q8—831no—
942D4×Q8—831no—
943D4×Q8—831no—
944D4×Q8—831no—
945D4×Q8—831no—
946D4×Q8—831no—
947D4×Q8—1661no—
948D4×Q8—1661no—
949D4×Q8—1661no—
950D4×Q8—1661no—
951D4×Q8C2×D8311yescharacteristic
952C2×C4⋊Q8—831no—
953C2×C4⋊Q8—1661no—
954C2×#126—1661no—
955C2×#125—831no—
956C2×#125—1661no—
957C2×#123—1661no—
958C2×C22⋊Q8—831no—
959C2×C22⋊Q8—831no—
960C2×C22⋊Q8—831no—
961C2×C22⋊Q8—831no—
962C2×C22⋊Q8—1661no—
963C2×C22⋊Q8—1661no—
964C2×C4×Q8—831no—
965C2×C4×Q8—831no—
966C2×C4×D4—831no—
967C2×C4×D4—1661no—
968C2×#117—831no—
969C2×#117—1661no—
970C22×C4⋊C4—831no—
971#491—831no—
972#491—831no—
973#491—831no—
974#491—831no—
975#491—831no—
976#491—831no—
977#491—831no—
978#491C2×D8311yescharacteristic, complemented
979#485—831no—
980#485—831no—
981#485—831no—
982#485—831no—
983#485—831no—
984#485—831no—
985#485—831no—
986#485C2×D8311yescharacteristic, complemented
987#483—831no—
988#483—831no—
989#483—831no—
990#483—831no—
991#483—831no—
992#483—831no—
993#483—831no—
994#483C2×D8311yescharacteristic, complemented
995#479—831no—
996#479—831no—
997#479—831no—
998#479—831no—
999#479—831no—
1000#479—831no—
1001#479—831no—
1002#479C2×D8311yescharacteristic, complemented
1003#470—831no—
1004#470—831no—
1005#470—831no—
1006#470—831no—
1007#470—831no—
1008#470—831no—
1009#470—831no—
1010#470C2×D8311yescharacteristic, complemented
1011#467—831no—
1012#467—831no—
1013#467—831no—
1014#467—831no—
1015#467—831no—
1016#467—831no—
1017#467—831no—
1018#467C2×D8311yescharacteristic, complemented
1019#462—831no—
1020#462—831no—
1021#462—831no—
1022#462—831no—
1023#462—831no—
1024#462—831no—
1025#462—831no—
1026#462C2×D8311yescharacteristic, complemented
1027#451—831no—
1028#451—831no—
1029#451—831no—
1030#451—831no—
1031#451—831no—
1032#451—831no—
1033#451—831no—
1034#451—831no—
1035#451—831no—
1036#451—831no—
1037#451—831no—
1038#451—831no—
1039#451—831no—
1040#451—831no—
1041#451C2×D8311yescharacteristic, complemented
1042#451C2×D8311yescharacteristic, complemented
1043#441—831no—
1044#441—831no—
1045#441—831no—
1046#441—831no—
1047#441—831no—
1048#441—831no—
1049#441—831no—
1050#441C2×D8311yescharacteristic, complemented
1051#435—831no—
1052#435—831no—
1053#435—831no—
1054#435—831no—
1055#435—831no—
1056#435—831no—
1057#435—831no—
1058#435C2×D8311yescharacteristic
1059C2×#107—831no—
1060C2×#106—831no—
1061C2×#106—831no—
1062C2×C4⋊C8—831no—
1063#419—831no—
1064#419—831no—
1065#419—831no—
1066#419—831no—
1067#419—831no—
1068#419—831no—
1069#419—831no—
1070#419C2×D8311yescharacteristic, complemented
1071C2×#103—831no—
1072C2×#103—831no—
1073C2×#103—831no—
1074C2×#103—831no—
1075C2×#103—831no—
1076C2×#103—831no—
1077C2×#103—831no—
1078C2×#103—831no—
1079C2×#103—831no—
1080C2×#103—831no—
1081C2×#103—831no—
1082C2×#103—831no—
1083C2×#103—831no—
1084C2×#103—831no—
1085C2×#103—831no—
1086C2×#103—831no—
1087C2×#103—831no—
1088C2×#103C2×D8311yescharacteristic, complemented
1089C2×C22⋊C8—831no—
1090C2×C22⋊C8—831no—
1091C2×#97—831no—
1092C22×Q8—3322no—
1093C22×Q8—3322no—
1094C22×Q8—831no—
1095C22×Q8—831no—
1096C22×Q8—831no—
1097C22×Q8—831no—
1098C22×Q8—831no—
1099C22×Q8—831no—
1100C22×Q8—831no—
1101C22×Q8—831no—
1102C22×Q8—831no—
1103C22×Q8—831no—
1104C22×Q8—1661no—
1105C22×Q8—1661no—
1106C22×Q8—1664no—
1107C22×Q8—1664no—
1108C22×Q8—1661no—
1109C22×Q8—1661no—
1110C22×Q8—1661no—
1111C22×Q8—1661no—
1112C22×Q8C22×D8311yescharacteristic
1113C22×Q8C22×D8311yescharacteristic
1114C22×D4—831no—
1115C23×C4—831no—
1116C23×C4—831no—
1117C23×C4—1661no—
1118C23×C4—1661no—
1119C23×C4—1661no—
1120C2×Q16—3322no—
1121C2×Q16—3322no—
1122C2×Q16—831no—
1123C2×Q16—831no—
1124C2×Q16—831no—
1125C2×Q16—831no—
1126C2×Q16—831no—
1127C2×Q16—831no—
1128C2×Q16—831no—
1129C2×Q16—831no—
1130C2×Q16—831no—
1131C2×Q16—1664no—
1132C2×Q16C22×D8311yescharacteristic
1133C2×Q16C22×D8311yescharacteristic
1134C2×Q16C22×D8311yescharacteristic
1135C2×M16—3322no—
1136C2×M16—831no—
1137C2×M16—831no—
1138C2×M16—831no—
1139C2×M16C22×D8311yescharacteristic
1140C22×C8—3322no—
1141C22×C8—831no—
1142C22×C8—831no—
1143C22×C8—831no—
1144C22×C8—831no—
1145C22×C8—831no—
1146C22×C8—831no—
1147C22×C8—831no—
1148C22×C8C22×D8311yescharacteristic
1149C4⋊Q8—21no—
1150C4⋊Q8—831no—
1151C4⋊Q8—831no—
1152C4⋊Q8—831no—
1153C4⋊Q8—1661no—
1154C4⋊Q8—1661no—
1155C4⋊Q8—1661no—
1156C4⋊Q8—1661no—
1157C4⋊Q8—1661no—
1158C4⋊Q8—1661no—
1159C4⋊Q8—1661no—
1160C4⋊Q8—1661no—
1161C4⋊Q8—1661no—
1162C4⋊Q8C22×D8311yescharacteristic
1163#126—21no—
1164#126—1661no—
1165#126—1661no—
1166#126—1661no—
1167#126—1661no—
1168#126—1661no—
1169#126—1661no—
1170#126—1661no—
1171#125—21no—
1172#125—831no—
1173#125—831no—
1174#125—831no—
1175#125—1661no—
1176#125—1661no—
1177#125—1661no—
1178#125—1661no—
1179#125—1661no—
1180#125—1661no—
1181#125—1661no—
1182#125—1661no—
1183#125—1661no—
1184#125C22×D8311yescharacteristic
1185#123—21no—
1186#123—1661no—
1187#123—1661no—
1188#123—1661no—
1189#123—1661no—
1190#123—1661no—
1191#123—1661no—
1192#123—1661no—
1193C22⋊Q8—21no—
1194C22⋊Q8—21no—
1195C22⋊Q8—831no—
1196C22⋊Q8—831no—
1197C22⋊Q8—831no—
1198C22⋊Q8—831no—
1199C22⋊Q8—831no—
1200C22⋊Q8—831no—
1201C22⋊Q8—831no—
1202C22⋊Q8—831no—
1203C22⋊Q8—831no—
1204C22⋊Q8—831no—
1205C22⋊Q8—831no—
1206C22⋊Q8—831no—
1207C22⋊Q8—1661no—
1208C22⋊Q8—1661no—
1209C22⋊Q8—1661no—
1210C22⋊Q8—1661no—
1211C22⋊Q8—1661no—
1212C22⋊Q8—1661no—
1213C22⋊Q8—1661no—
1214C22⋊Q8—1661no—
1215C22⋊Q8—1661no—
1216C22⋊Q8—1661no—
1217C22⋊Q8—1661no—
1218C22⋊Q8—1661no—
1219C22⋊Q8—1661no—
1220C22⋊Q8—1661no—
1221C22⋊Q8—1661no—
1222C22⋊Q8—1661no—
1223C22⋊Q8—1661no—
1224C22⋊Q8—1661no—
1225C22⋊Q8—1661no—
1226C22⋊Q8—1661no—
1227C22⋊Q8—1661no—
1228C22⋊Q8—1661no—
1229C22⋊Q8C22×D8311yescharacteristic
1230C22⋊Q8C22×D8311yescharacteristic
1231C22⋊Q8C22×D8311yescharacteristic
1232C22⋊Q8C22×D8311yescharacteristic
1233C4×Q8—831no—
1234C4×Q8—831no—
1235C4×Q8—831no—
1236C4×Q8—831no—
1237C4×Q8—831no—
1238C4×Q8—831no—
1239C4×Q8—1661no—
1240C4×Q8—1661no—
1241C4×Q8—1661no—
1242C4×Q8—1661no—
1243C4×Q8C22×D8311yescharacteristic
1244C4×Q8C22×D8311yescharacteristic
1245C4×D4—21no—
1246C4×D4—831no—
1247C4×D4—831no—
1248C4×D4—831no—
1249C4×D4—831no—
1250C4×D4—831no—
1251C4×D4—831no—
1252C4×D4—831no—
1253C4×D4—1661no—
1254C4×D4—1661no—
1255C4×D4—1661no—
1256C4×D4—1661no—
1257C4×D4—1661no—
1258C4×D4—1661no—
1259C4×D4—1661no—
1260C4×D4C22×D8311yescharacteristic
1261#117—21no—
1262#117—831no—
1263#117—831no—
1264#117—831no—
1265#117—1661no—
1266#117—1661no—
1267#117—1661no—
1268#117—1661no—
1269#117—1661no—
1270#117—1661no—
1271#117—1661no—
1272#117—1661no—
1273#117—1661no—
1274#117C22×D8311yescharacteristic
1275C2×C4⋊C4—831no—
1276C2×C4⋊C4—831no—
1277C2×C4⋊C4—831no—
1278C2×C4⋊C4—831no—
1279C2×C4⋊C4—831no—
1280C2×C4⋊C4—831no—
1281C2×C4⋊C4—831no—
1282C2×C4⋊C4—831no—
1283C2×C4⋊C4—1661no—
1284C2×C4⋊C4—1661no—
1285C2×C4⋊C4—1661no—
1286C2×C4⋊C4—1661no—
1287C2×C4⋊C4—1661no—
1288C2×C4⋊C4—1661no—
1289C2×C4⋊C4—1661no—
1290C2×C4⋊C4—1661no—
1291C2×C4⋊C4—1661no—
1292C2×C4⋊C4—1661no—
1293C2×C4⋊C4—1661no—
1294C2×C4⋊C4—1661no—
1295C2×C4⋊C4—1661no—
1296C2×C4⋊C4C22×D8311yescharacteristic
1297C2×C22⋊C4—831no—
1298C2×C22⋊C4—831no—
1299C2×C22⋊C4—1661no—
1300C2×C22⋊C4—1661no—
1301C2×C22⋊C4—1661no—
1302C2×C22⋊C4—1661no—
1303C2×C22⋊C4—1661no—
1304C2×C42—831no—
1305C2×C42—1661no—
1306C2×C42—1661no—
1307C2×C42—1661no—
1308#107—831no—
1309#107—831no—
1310#107—831no—
1311#107C22×D8311yescharacteristic
1312#106—831no—
1313#106—831no—
1314#106—831no—
1315#106—831no—
1316#106—831no—
1317#106—831no—
1318#106C22×D8311yescharacteristic
1319#106C22×D8311yescharacteristic
1320C4⋊C8—831no—
1321C4⋊C8—831no—
1322C4⋊C8—831no—
1323C4⋊C8C22×D8311yescharacteristic
1324#103—831no—
1325#103—831no—
1326#103—831no—
1327#103—831no—
1328#103—831no—
1329#103—831no—
1330#103—831no—
1331#103—831no—
1332#103—831no—
1333#103—831no—
1334#103—831no—
1335#103—831no—
1336#103—831no—
1337#103—831no—
1338#103—831no—
1339#103—831no—
1340#103—831no—
1341#103—831no—
1342#103—831no—
1343#103—831no—
1344#103—831no—
1345#103—831no—
1346#103—831no—
1347#103—831no—
1348#103—831no—
1349#103—831no—
1350#103—831no—
1351#103—831no—
1352#103—831no—
1353#103—831no—
1354#103C22×D8311yescharacteristic
1355#103C22×D8311yescharacteristic
1356#103C22×D8311yescharacteristic
1357#103C22×D8311yescharacteristic
1358#103C22×D8311yescharacteristic
1359#103C22×D8311yescharacteristic
1360#103C22×D8311yescharacteristic
1361#103C22×D8311yescharacteristic
1362#103C22×D8311yescharacteristic
1363#103C22×D8311yescharacteristic
1364C22⋊C8—831no—
1365C22⋊C8—831no—
1366C22⋊C8—831no—
1367C22⋊C8—831no—
1368C22⋊C8—831no—
1369C22⋊C8—831no—
1370C22⋊C8C22×D8311yescharacteristic
1371C22⋊C8C22×D8311yescharacteristic
1372#97—831no—
1373#97—831no—
1374#97—831no—
1375#97C22×D8311yescharacteristic
1376C24—831no—
1377C24—831no—
1378C2×Q8—21no—
1379C2×Q8—21no—
1380C2×Q8—22no—
1381C2×Q8—22no—
1382C2×Q8—41no—
1383C2×Q8—41no—
1384C2×Q8—3321no—
1385C2×Q8—3321no—
1386C2×Q8—3324no—
1387C2×Q8—3324no—
1388C2×Q8—3321no—
1389C2×Q8—3321no—
1390C2×Q8—3321no—
1391C2×Q8—3321no—
1392C2×Q8—3324no—
1393C2×Q8—3324no—
1394C2×Q8—3324no—
1395C2×Q8—3324no—
1396C2×Q8—834no—
1397C2×Q8—831no—
1398C2×Q8—831no—
1399C2×Q8—831no—
1400C2×Q8—831no—
1401C2×Q8—1662no—
1402C2×Q8—1662no—
1403C2×Q8—1661no—
1404C2×Q8—1661no—
1405C2×Q8—1661no—
1406C2×Q8—1661no—
1407C2×Q8—1661no—
1408C2×Q8—1661no—
1409C2×Q8—1661no—
1410C2×Q8—1661no—
1411C2×Q8—1662no—
1412C2×Q8—1662no—
1413C2×Q8—1662no—
1414C2×Q8—1662no—
1415C2×Q8—1662no—
1416C2×Q8—1662no—
1417C2×Q8—1662no—
1418C2×Q8—1662no—
1419C2×Q8—1662no—
1420C2×Q8—1662no—
1421C2×Q8—1662no—
1422C2×Q8—1661no—
1423C2×Q8—1661no—
1424C2×Q8C23×D8311yescharacteristic
1425C2×Q8C23×D8311yescharacteristic
1426C2×Q8C23×D8311yescharacteristic
1427C2×Q8C23×D8311yescharacteristic
1428C2×D4—831no—
1429C2×D4—831no—
1430C2×D4—831no—
1431C2×D4—1664no—
1432C2×D4D4×D8311yescharacteristic
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—3324no—
1437C22×C4—3324no—
1438C22×C4—3324no—
1439C22×C4—831no—
1440C22×C4—831no—
1441C22×C4—831no—
1442C22×C4—831no—
1443C22×C4—831no—
1444C22×C4—831no—
1445C22×C4—831no—
1446C22×C4—831no—
1447C22×C4—831no—
1448C22×C4—831no—
1449C22×C4—831no—
1450C22×C4—1661no—
1451C22×C4—1661no—
1452C22×C4—1661no—
1453C22×C4—1661no—
1454C22×C4—1661no—
1455C22×C4—1661no—
1456C22×C4—1661no—
1457C22×C4—1661no—
1458C22×C4—1661no—
1459C22×C4—1661no—
1460C22×C4—1661no—
1461C22×C4—1661no—
1462C22×C4—1661no—
1463C22×C4—1662no—
1464C22×C4—1662no—
1465C22×C4—1662no—
1466C22×C4—1662no—
1467C22×C4—1661no—
1468C22×C4—1661no—
1469C22×C4—1661no—
1470C22×C4—1661no—
1471C22×C4C23×D8311yescharacteristic
1472C22×C4C23×D8311yescharacteristic
1473Q16—22no—
1474Q16—41no—
1475Q16—41no—
1476Q16—3321no—
1477Q16—3321no—
1478Q16—3321no—
1479Q16—3321no—
1480Q16—3321no—
1481Q16—3321no—
1482Q16—1662no—
1483Q16—1662no—
1484Q16—1662no—
1485M16—41no—
1486M16—3321no—
1487M16—3321no—
1488M16—3321no—
1489C2×C8—41no—
1490C2×C8—3321no—
1491C2×C8—3321no—
1492C2×C8—3321no—
1493C2×C8—831no—
1494C2×C8—831no—
1495C2×C8—831no—
1496C2×C8—831no—
1497C2×C8—1662no—
1498C2×C8—1662no—
1499C2×C8—1662no—
1500C2×C8—1662no—
1501C2×C8C23×D8311yescharacteristic
1502C2×C8C23×D8311yescharacteristic
1503C2×C8C23×D8311yescharacteristic
1504C2×C8C23×D8311yescharacteristic
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—831no—
1517C4⋊C4—831no—
1518C4⋊C4—831no—
1519C4⋊C4—831no—
1520C4⋊C4—831no—
1521C4⋊C4—831no—
1522C4⋊C4—831no—
1523C4⋊C4—1661no—
1524C4⋊C4—1661no—
1525C4⋊C4—1661no—
1526C4⋊C4—1661no—
1527C4⋊C4—1661no—
1528C4⋊C4—1661no—
1529C4⋊C4—1661no—
1530C4⋊C4—1661no—
1531C4⋊C4—1661no—
1532C4⋊C4—1661no—
1533C4⋊C4—1661no—
1534C4⋊C4—1661no—
1535C4⋊C4—1661no—
1536C4⋊C4—1661no—
1537C4⋊C4—1661no—
1538C4⋊C4—1661no—
1539C4⋊C4—1661no—
1540C4⋊C4—1661no—
1541C4⋊C4—1661no—
1542C4⋊C4—1661no—
1543C4⋊C4—1661no—
1544C4⋊C4—1661no—
1545C4⋊C4—1661no—
1546C4⋊C4—1661no—
1547C4⋊C4—1661no—
1548C4⋊C4—1661no—
1549C4⋊C4—1661no—
1550C4⋊C4—1661no—
1551C4⋊C4—1661no—
1552C4⋊C4—1661no—
1553C4⋊C4—1661no—
1554C4⋊C4—1661no—
1555C4⋊C4—1661no—
1556C4⋊C4—1661no—
1557C4⋊C4—1661no—
1558C4⋊C4—1661no—
1559C4⋊C4—1661no—
1560C4⋊C4D4×D8311yescharacteristic
1561C4⋊C4C23×D8311yescharacteristic
1562C4⋊C4C23×D8311yescharacteristic
1563C4⋊C4C23×D8311yescharacteristic
1564C4⋊C4C23×D8311yescharacteristic
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—831no—
1571C22⋊C4—831no—
1572C22⋊C4—831no—
1573C22⋊C4—831no—
1574C22⋊C4—831no—
1575C22⋊C4—831no—
1576C22⋊C4—1661no—
1577C22⋊C4—1661no—
1578C22⋊C4—1661no—
1579C22⋊C4—1661no—
1580C22⋊C4—1661no—
1581C22⋊C4—1661no—
1582C22⋊C4—1661no—
1583C22⋊C4—1661no—
1584C22⋊C4—1661no—
1585C22⋊C4—1661no—
1586C22⋊C4—1661no—
1587C22⋊C4—1661no—
1588C22⋊C4—1661no—
1589C22⋊C4—1661no—
1590C22⋊C4—1661no—
1591C22⋊C4D4×D8311yescharacteristic
1592C22⋊C4D4×D8311yescharacteristic
1593C42—21no—
1594C42—21no—
1595C42—21no—
1596C42—831no—
1597C42—831no—
1598C42—831no—
1599C42—1661no—
1600C42—1661no—
1601C42—1661no—
1602C42—1661no—
1603C42—1661no—
1604C42—1661no—
1605C42—1661no—
1606C42—1661no—
1607C42—1661no—
1608C42C23×D8311yescharacteristic
1609C23—831no—
1610C23—834no—
1611C23—831no—
1612C23—831no—
1613C23—1662no—
1614C23—1662no—
1615C23—1662no—
1616C23—1662no—
1617C23—1662no—
1618C23C2×D4×D8311yescharacteristic
1619C23C2×D4×D8311yescharacteristic
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—21no—
1624Q8—21no—
1625Q8—21no—
1626Q8—21no—
1627Q8—42no—
1628Q8—42no—
1629Q8—3322no—
1630Q8—3322no—
1631Q8—3322no—
1632Q8—3322no—
1633Q8—3322no—
1634Q8—3322no—
1635Q8—3322no—
1636Q8—3322no—
1637Q8—3322no—
1638Q8—832no—
1639Q8—1664no—
1640Q8—1661no—
1641Q8—1661no—
1642Q8—1661no—
1643Q8—1661no—
1644Q8—1661no—
1645Q8—1661no—
1646Q8—1661no—
1647Q8#41×D8312yes—
1648D4—22no—
1649D4—1662no—
1650D4—1662no—
1651D4—1662no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—42no—
1665C2×C4—42no—
1666C2×C4—42no—
1667C2×C4—3322no—
1668C2×C4—3322no—
1669C2×C4—3322no—
1670C2×C4—3322no—
1671C2×C4—3322no—
1672C2×C4—3322no—
1673C2×C4—3322no—
1674C2×C4—3322no—
1675C2×C4—3322no—
1676C2×C4—3322no—
1677C2×C4—3322no—
1678C2×C4—3322no—
1679C2×C4—3322no—
1680C2×C4—3322no—
1681C2×C4—3322no—
1682C2×C4—3322no—
1683C2×C4—831no—
1684C2×C4—832no—
1685C2×C4—832no—
1686C2×C4—831no—
1687C2×C4—831no—
1688C2×C4—831no—
1689C2×C4—831no—
1690C2×C4—1662no—
1691C2×C4—1662no—
1692C2×C4—1664no—
1693C2×C4—1662no—
1694C2×C4—1662no—
1695C2×C4—1662no—
1696C2×C4—1662no—
1697C2×C4—1661no—
1698C2×C4—1661no—
1699C2×C4—1661no—
1700C2×C4—1661no—
1701C2×C4—1661no—
1702C2×C4—1661no—
1703C2×C4—1661no—
1704C2×C4—1662no—
1705C2×C4—1662no—
1706C2×C4—1661no—
1707C2×C4—1661no—
1708C2×C4—1661no—
1709C2×C4—1661no—
1710C2×C4—1661no—
1711C2×C4C2×D4×D8311yescharacteristic
1712C2×C4C2×D4×D8311yescharacteristic
1713C2×C4C2×D4×D8311yescharacteristic
1714C2×C4C2×D4×D8311yescharacteristic
1715C2×C4C24×D8311yescharacteristic
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—21no—
1720C8—1661no—
1721C8—1661no—
1722C8—1661no—
1723C8—1661no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—3324no—
1730C22—832no—
1731C22—832no—
1732C22—832no—
1733C22—832no—
1734C22—1668no—
1735C22—1661no—
1736C22—1661no—
1737C22—1661no—
1738C22—1661no—
1739C22—1661no—
1740C22#137×D8312yes—
1741C22C22×D4×D8311yescharacteristic
1742C4—21no—
1743C4—21no—
1744C4—22no—
1745C4—21no—
1746C4—21no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—3321no—
1755C4—3321no—
1756C4—3321no—
1757C4—3321no—
1758C4—3321no—
1759C4—3321no—
1760C4—3321no—
1761C4—832no—
1762C4—1662no—
1763C4—1661no—
1764C4—1661no—
1765C4—1661no—
1766C4—1661no—
1767C4C2×#41×D8311yescharacteristic
1768C4H(5,𝔽2)×D8311yescharacteristic
1769C2—22no—
1770C2—41no—
1771C2—3321no—
1772C2—834no—
1773C2—1662no—
1774C2#546×D8311yescharacteristic
1775C2C2×#137×D8311yescharacteristic
1776C2#578×D8311yescharacteristic
subgroupG/H
centerC22C22×D4×D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC83×#3312C2
socleC22×C83C23×D4
prime radicalC2×D4×D83D4
hypercenter#3312D83
hypocenterC83C2×#3312
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3312

Complements

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

NH ≅ G/Ntype
3. #24919521C2semidirect
4. #24919520C2semidirect
5. #24919519C2semidirect
6. #24919518C2semidirect
7. #24919517C2semidirect
8. #24919516C2semidirect
9. #24919515C2semidirect
10. #24919514C2semidirect
11. #24919513C2semidirect
12. #24919512C2semidirect
13. #24919511C2semidirect
14. #24919510C2semidirect
15. #24919509C2semidirect
16. #24919508C2semidirect
17. #24919507C2semidirect
18. #491×D83C2semidirect
19. #485×D83C2semidirect
20. #483×D83C2semidirect
21. #479×D83C2semidirect
22. #470×D83C2semidirect
23. #467×D83C2semidirect
24. #462×D83C2semidirect
25. #451×D83C2semidirect
26. #451×D83C2semidirect
27. #441×D83C2semidirect
29. #419×D83C2semidirect
30. C2×#103×D83C2semidirect
31. C83×#3312C2semidirect
80. #19128071C22semidirect
81. #19128070C22semidirect
82. #19128069C22semidirect
83. #19128068C22semidirect
84. #19128068C22semidirect
85. #19128068C22semidirect
86. #19128068C22semidirect
87. #19128045C22semidirect
88. #19128044C22semidirect
89. #19128043C22semidirect
90. #19128042C22semidirect
91. #19128041C22semidirect
92. #19128040C22semidirect
93. #19128039C22semidirect
94. #19128033C22semidirect
95. #19128033C22semidirect
96. #19128032C22semidirect
97. #19128031C22semidirect
98. #19128030C22semidirect
99. #19128030C22semidirect
100. #19128029C22semidirect
101. #19128011C22semidirect
102. #19128010C22semidirect
103. #19128009C22semidirect
104. #19128008C22semidirect
105. #19128007C22semidirect
106. #19128006C22semidirect
107. #19128005C22semidirect
108. #19127960C22semidirect
109. #19127959C22semidirect
110. #19127958C22semidirect
111. #19127958C22semidirect
112. #19127957C22semidirect
113. #19127957C22semidirect
114. #19127956C22semidirect
115. #19127943C22semidirect
116. #19127942C22semidirect
117. #19127941C22semidirect
118. #19127941C22semidirect
119. #19127940C22semidirect
120. #19127940C22semidirect
121. #19127939C22semidirect
122. #19127912C22semidirect
123. #19127911C22semidirect
124. #19127910C22semidirect
125. #19127910C22semidirect
126. #19127909C22semidirect
127. #19127909C22semidirect
128. #19127908C22semidirect
129. #19127859C22semidirect
130. #19127859C22semidirect
131. #19127858C22semidirect
132. #19127858C22semidirect
133. #19127858C22semidirect
134. #19127858C22semidirect
135. #19127857C22semidirect
136. #19127857C22semidirect
137. #19127856C22semidirect
138. #19127856C22semidirect
139. #19127855C22semidirect
140. #19127855C22semidirect
141. #19127855C22semidirect
142. #19127855C22semidirect
143. #19127809C22semidirect
144. #19127808C22semidirect
145. #19127807C22semidirect
146. #19127806C22semidirect
147. #19127806C22semidirect
148. #19127805C22semidirect
149. #19127805C22semidirect
161. #19127711C22semidirect
162. #19127710C22semidirect
163. #19127709C22semidirect
164. #19127708C22semidirect
165. #19127708C22semidirect
166. #19127708C22semidirect
167. #19127708C22semidirect
168. C2×#14581717C22semidirect
169. C2×#14581716C22semidirect
170. C2×#14581715C22semidirect
181. #103×D83C22semidirect
182. #103×D83C22semidirect
183. #103×D83C22semidirect
184. #103×D83C22semidirect
190. #491×C83C22semidirect
191. #485×C83C22semidirect
192. #483×C83C22semidirect
193. #479×C83C22semidirect
194. #470×C83C22semidirect
195. #467×C83C22semidirect
196. #462×C83C22semidirect
197. #451×C83C22semidirect
198. #451×C83C22semidirect
199. #441×C83C22semidirect
201. #419×C83C22semidirect
202. C2×#103×C83C22semidirect
888. D83#3312direct (N × H)
906. #3312D83direct (N × H)
920. C83C2×#3312semidirect
978. #491C2×D83semidirect
986. #485C2×D83semidirect
994. #483C2×D83semidirect
1002. #479C2×D83semidirect
1010. #470C2×D83semidirect
1018. #467C2×D83semidirect
1026. #462C2×D83semidirect
1041. #451C2×D83semidirect
1042. #451C2×D83semidirect
1050. #441C2×D83semidirect
1070. #419C2×D83semidirect
1088. C2×#103C2×D83semidirect

Maximal subgroups

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

subgroupindex
#552×D832
D4×Q8×D832
#249195212
#249195202
#249195192
#249195182
#249195172
#249195162
#249195152
#249195142
#249195132
#249195122
#249195112
#249195102
#249195092
#249195082
#249195072
#491×D832
#485×D832
#483×D832
#479×D832
#470×D832
#467×D832
#462×D832
#451×D832
#441×D832
#435×D832
#419×D832
C2×#103×D832
C83×#33122
C2×#331283