Finite Group Databasebeta

← #25968112

Subgroups — #25968112

Order 11008.

2222 conjugacy classes of subgroups.

The subgroup lattice has 1938 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19147982C211yesmaximal, characteristic, complemented
2#535×D43C211yesmaximal, characteristic, complemented
3#19145692C211yesmaximal, characteristic, complemented
4#19145691C211yesmaximal, characteristic, complemented
5#19145690C211yesmaximal, characteristic, complemented
6#19145689C211yesmaximal, characteristic, complemented
7#19145684C211yesmaximal, characteristic, complemented
8#19145683C211yesmaximal, characteristic, complemented
9#19145682C211yesmaximal, characteristic, complemented
10#19145666C211yesmaximal, characteristic, complemented
11#19145665C211yesmaximal, characteristic, complemented
12#19145664C211yesmaximal, characteristic, complemented
13#19145663C211yesmaximal, characteristic, complemented
14#19145644C211yesmaximal, characteristic, complemented
15#19145643C211yesmaximal, characteristic, complemented
16#19145642C211yesmaximal, characteristic, complemented
17#19145641C211yesmaximal, characteristic, complemented
18#19145056C211yesmaximal, characteristic, complemented
19#19145044C211yesmaximal, characteristic, complemented
20#19144980C211yesmaximal, characteristic, complemented
21#19144966C211yesmaximal, characteristic, complemented
22#19144086C211yesmaximal, characteristic, complemented
23#19144084C211yesmaximal, characteristic, complemented
24#19144072C211yesmaximal, characteristic, complemented
25#19144070C211yesmaximal, characteristic, complemented
26#19143838C211yesmaximal, characteristic, complemented
27#19143833C211yesmaximal, characteristic, complemented
28#19143823C211yesmaximal, characteristic, complemented
29#19143819C211yesmaximal, characteristic, complemented
30#19143229C211yesmaximal, characteristic, complemented
31C43×#3224C211yesmaximal, characteristic, complemented
32C2×#41×D43C2211yescharacteristic
33C22×D4×D43C2211yescharacteristic
34C2×#13063357C2211yescharacteristic, complemented
35C2×#13063354C2211yescharacteristic, complemented
36C2×#13063352C2211yescharacteristic
37C2×#13063352C2211yescharacteristic
38C2×#13063352C2211yescharacteristic, complemented
39C2×#13063349C2211yescharacteristic
40C2×#13063349C2211yescharacteristic
41C2×#13063349C2211yescharacteristic, complemented
42#14583523C2211yescharacteristic, complemented
43#14583520C2211yescharacteristic, complemented
44#14583518C2211yescharacteristic, complemented
45#14583509C2211yescharacteristic, complemented
46#14583507C2211yescharacteristic, complemented
47#14583502C2211yescharacteristic, complemented
48#14583500C2211yescharacteristic, complemented
49#14583495—21no—
50#14583490—21no—
51#14583485—21no—
52#14583483—21no—
53#14583468C2211yescharacteristic
54#14583467C2211yescharacteristic
55#14583467C2211yescharacteristic
56#14583466C2211yescharacteristic
57#14583465—21no—
58#14583465—21no—
59#14583464—21no—
60#14583464—21no—
61#14583463C2211yescharacteristic
62#14583462C2211yescharacteristic
63#14583462C2211yescharacteristic
64#14583454C2211yescharacteristic, complemented
65#14583448C2211yescharacteristic, complemented
66#127×D43C2211yescharacteristic
67#127×D43C2211yescharacteristic
68#14583435—21no—
69#14583432—21no—
70#14583428—21no—
71#14583426—21no—
72#124×D43C2211yescharacteristic
73#124×D43C2211yescharacteristic
74#14583412C2211yescharacteristic
75#14583409C2211yescharacteristic
76#121×D43—21no—
77#121×D43—21no—
78#120×D43—21no—
79#120×D43—21no—
80C4×#10621902C2211yescharacteristic, complemented
81C4×#10621900C2211yescharacteristic, complemented
82#117×D43C2211yescharacteristic
83#14583292C2211yescharacteristic, complemented
84#14583290C2211yescharacteristic, complemented
85#14583289C2211yescharacteristic, complemented
86#14583288C2211yescharacteristic, complemented
87#14583287C2211yescharacteristic, complemented
88#14583286C2211yescharacteristic, complemented
89#14583285C2211yescharacteristic, complemented
90#14583283C2211yescharacteristic, complemented
91#14583281C2211yescharacteristic, complemented
92#14583281C2211yescharacteristic, complemented
93#14583274C2211yescharacteristic, complemented
94#14583274C2211yescharacteristic, complemented
95#14583270C2211yescharacteristic, complemented
96#14583270C2211yescharacteristic, complemented
97#14583262C2211yescharacteristic, complemented
98#14583262C2211yescharacteristic, complemented
99#14583262C2211yescharacteristic, complemented
100#14583262C2211yescharacteristic, complemented
101#14583261C2211yescharacteristic, complemented
102#14583259C2211yescharacteristic, complemented
103#14583258C2211yescharacteristic, complemented
104#14583255C2211yescharacteristic, complemented
105#14583255C2211yescharacteristic, complemented
106#14583252C2211yescharacteristic, complemented
107#14583252C2211yescharacteristic, complemented
108#14583247C2211yescharacteristic, complemented
109#14583246C2211yescharacteristic, complemented
110#14583245C2211yescharacteristic, complemented
111#14583124C2211yescharacteristic, complemented
112#14583123C2211yescharacteristic, complemented
113#14583122C2211yescharacteristic, complemented
114#14583121C2211yescharacteristic, complemented
115#14583120C2211yescharacteristic, complemented
116#14583119C2211yescharacteristic, complemented
117#14583118C2211yescharacteristic, complemented
118#14583117C2211yescharacteristic, complemented
119#14583116C2211yescharacteristic, complemented
120#14583115C2211yescharacteristic, complemented
121#14583114C2211yescharacteristic, complemented
122#14583113C2211yescharacteristic, complemented
123#14583112C2211yescharacteristic, complemented
124#14583111C2211yescharacteristic, complemented
125#14583100C2211yescharacteristic, complemented
126#14583099C2211yescharacteristic, complemented
127#14583098C2211yescharacteristic, complemented
128#14583098C2211yescharacteristic, complemented
129#14583097C2211yescharacteristic, complemented
130#14583097C2211yescharacteristic, complemented
131#14583096C2211yescharacteristic, complemented
132#14583095C2211yescharacteristic, complemented
133#14583094C2211yescharacteristic, complemented
134#14583093C2211yescharacteristic, complemented
135#14583093C2211yescharacteristic, complemented
136#14583092C2211yescharacteristic, complemented
137#14583092C2211yescharacteristic, complemented
138#14583091C2211yescharacteristic, complemented
139#14583064C2211yescharacteristic, complemented
140#14583063C2211yescharacteristic, complemented
141#14583062C2211yescharacteristic, complemented
142#14583061C2211yescharacteristic, complemented
143#14583060C2211yescharacteristic, complemented
144#14583059C2211yescharacteristic, complemented
145#14583058C2211yescharacteristic, complemented
146#14583052C2211yescharacteristic, complemented
147#14583051C2211yescharacteristic, complemented
148#14583051C2211yescharacteristic, complemented
149#14583050C2211yescharacteristic, complemented
150#14583049C2211yescharacteristic, complemented
151#14583048C2211yescharacteristic, complemented
152#14583048C2211yescharacteristic, complemented
153#14583047C2211yescharacteristic, complemented
154#14583046C2211yescharacteristic, complemented
155#14583045C2211yescharacteristic, complemented
156#14583044C2211yescharacteristic, complemented
157#14583043C2211yescharacteristic, complemented
158#14583042C2211yescharacteristic, complemented
159#14583041C2211yescharacteristic, complemented
160#14583035C2211yescharacteristic, complemented
161#14583034C2211yescharacteristic, complemented
162#14583034C2211yescharacteristic, complemented
163#14583033C2211yescharacteristic, complemented
164#14583032C2211yescharacteristic, complemented
165#14583031C2211yescharacteristic, complemented
166#14583031C2211yescharacteristic, complemented
167#14582961C2211yescharacteristic, complemented
168#14582960C2211yescharacteristic, complemented
169#14582959C2211yescharacteristic, complemented
170#14582959C2211yescharacteristic, complemented
171#14582958C2211yescharacteristic, complemented
172#14582957C2211yescharacteristic, complemented
173#14582957C2211yescharacteristic, complemented
174#14582921C2211yescharacteristic, complemented
175#14582921C2211yescharacteristic, complemented
176#14582906C2211yescharacteristic, complemented
177#14582906C2211yescharacteristic, complemented
178#14582902C2211yescharacteristic
179#14582902C2211yescharacteristic
180#14582902C2211yescharacteristic
181#14582902C2211yescharacteristic
182#14582902C2211yescharacteristic, complemented
183#14582902C2211yescharacteristic, complemented
184#14582861C2211yescharacteristic
185#14582861C2211yescharacteristic
186#14582851C2211yescharacteristic, complemented
187C4×#10621872C2211yescharacteristic, complemented
188C43×#542C2211yescharacteristic, complemented
189C43×#535C2211yescharacteristic
190C43×#496C2211yescharacteristic, complemented
191C43×#495C2211yescharacteristic, complemented
192C43×#489C2211yescharacteristic, complemented
193C43×#486C2211yescharacteristic, complemented
194C43×#464C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic, complemented
196C43×#460C2211yescharacteristic, complemented
197C43×#459C2211yescharacteristic, complemented
198C43×#452C2211yescharacteristic, complemented
199C43×#450C2211yescharacteristic, complemented
200C43×#449C2211yescharacteristic, complemented
201C43×#447C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic, complemented
203C24×D43—21no—
204C2×#10621902C2311yescharacteristic
205C2×#10621902C2311yescharacteristic
206C2×#10621898—21no—
207C2×#10621898C2311yescharacteristic
208C2×#10621900—21no—
209C2×#10621900C2311yescharacteristic
210C2×#10621900C2311yescharacteristic
211#41×D43—42no—
212#41×D43—42no—
213C2×Q8×D43C2311yescharacteristic
214C22×D172C2311yescharacteristic
215C22×C22⋊D43—21no—
216C2×D4×D43—21no—
217C2×D4×D43—21no—
218C2×D4×D43—21no—
219C2×D4×D43—21no—
220C2×D4×D43—21no—
221C2×D4×D43—21no—
222C2×D4×D43—21no—
223C2×D4×D43—42no—
224C2×D4×D43—42no—
225C2×D4×D43C2311yescharacteristic
226C2×D4×D43C2311yescharacteristic
227C2×D4×D43C2311yescharacteristic
228C2×D4×D43C2311yescharacteristic
229C2×D4×D43C2311yescharacteristic
230C22×C4×D43—21no—
231C22×C4×D43C2311yescharacteristic
232#13063357—42no—
233#13063354—42no—
234#13063352—42no—
235#13063352—42no—
236#13063352—42no—
237#13063349—42no—
238#13063349—42no—
239#13063349—42no—
240C2×Dic172C2311yescharacteristic, complemented
241C2×#10621885C2311yescharacteristic, complemented
242C2×#10621885C2311yescharacteristic, complemented
243C2×#10621873C2311yescharacteristic
244C2×#10621873C2311yescharacteristic
245C2×#10621873C2311yescharacteristic, complemented
246C2×#10621873C2311yescharacteristic, complemented
247C2×#10621883C2311yescharacteristic
248C2×#10621883C2311yescharacteristic
249C2×#10621883C2311yescharacteristic, complemented
250C2×#10621883C2311yescharacteristic, complemented
251C2×#10621884C2311yescharacteristic
252C2×#10621884C2311yescharacteristic
253C2×#10621884C2311yescharacteristic, complemented
254C2×#10621884C2311yescharacteristic, complemented
255C2×D344C2311yescharacteristic
256C2×D344C2311yescharacteristic
257C2×D344C2311yescharacteristic, complemented
258C2×#10621882C2311yescharacteristic
259C2×#10621882C2311yescharacteristic
260C2×#10621882C2311yescharacteristic
261C2×#10621882C2311yescharacteristic
262C2×#10621882C2311yescharacteristic, complemented
263C2×#10621882C2311yescharacteristic, complemented
264C2×#10621872C2311yescharacteristic
265C2×#10621872C2311yescharacteristic
266C2×#10621872C2311yescharacteristic
267C2×#10621872C2311yescharacteristic
268#13063325C2311yescharacteristic, complemented
269#13063323C2311yescharacteristic, complemented
270#13063322C2311yescharacteristic
271#13063322C2311yescharacteristic
272#13063321—21no—
273#13063321—21no—
274#13063321—21no—
275#13063321—21no—
276#13063321C2311yescharacteristic
277#13063321C2311yescharacteristic
278#13063321C2311yescharacteristic
279#13063321C2311yescharacteristic
280#13063321C2311yescharacteristic, complemented
281#13063320—21no—
282#13063320—21no—
283#13063320—21no—
284#13063319—21no—
285#13063318—21no—
286#13063318—21no—
287#13063318—21no—
288#13063317—21no—
289#13063316—21no—
290#13063316C2311yescharacteristic, complemented
291#13063316C2311yescharacteristic, complemented
292#13063315—21no—
293#13063315—21no—
294#13063314—21no—
295#13063314C2311yescharacteristic
296#13063314C2311yescharacteristic
297#13063313C2311yescharacteristic
298#13063313C2311yescharacteristic
299#13063313C2311yescharacteristic, complemented
300#13063312C2311yescharacteristic
301#13063312C2311yescharacteristic
302#13063311—21no—
303#13063311—21no—
304#13063311—21no—
305#13063311—21no—
306#13063311—21no—
307#13063311—21no—
308#13063310—21no—
309#13063310—21no—
310#13063309—21no—
311#13063309—21no—
312#13063308—21no—
313#13063307—21no—
314#13063307—21no—
315#13063307—21no—
316#13063307—21no—
317#13063305—21no—
318#13063305C2311yescharacteristic
319#13063304C2311yescharacteristic
320#13063303—21no—
321#13063302—21no—
322#13063301—21no—
323#13063301—21no—
324#13063301C2311yescharacteristic
325#13063300—21no—
326#13063300—21no—
327#13063300C2311yescharacteristic
328#13063299—21no—
329#13063299—21no—
330#13063299—21no—
331#13063299C2311yescharacteristic
332#13063298—21no—
333#13063298—21no—
334#13063298—21no—
335#13063298—21no—
336#13063298—21no—
337#13063298—21no—
338#13063298—21no—
339#13063297—21no—
340#13063297—21no—
341#13063297—21no—
342#13063297—21no—
343#13063297—21no—
344#13063296—21no—
345#13063296—21no—
346#13063296—21no—
347#13063296C2311yescharacteristic
348#13063295—21no—
349#13063295—21no—
350#13063295—21no—
351#13063295—21no—
352#13063295—21no—
353#13063295—21no—
354#13063295—21no—
355#13063294—21no—
356#13063294—21no—
357#13063293—21no—
358#13063293—21no—
359#13063293—21no—
360#13063293—21no—
361#13063293—21no—
362#13063293—21no—
363#13063293—21no—
364Q8×Dic43—21no—
365Q8×Dic43C2311yescharacteristic, complemented
366C4×Dic86C2311yescharacteristic, complemented
367#13063290—21no—
368#13063290C2311yescharacteristic, complemented
369C4×D172—21no—
370C4×D172C2311yescharacteristic, complemented
371D4×Dic43—21no—
372D4×Dic43C2311yescharacteristic, complemented
373#13063287—21no—
374#13063287—21no—
375#13063287C2311yescharacteristic, complemented
376C4×C22⋊D43—21no—
377(C22⋊D43)⋊C4—21no—
378(C22⋊D43)⋊C4—21no—
379(C22⋊D43)⋊C4—21no—
380(C22⋊D43)⋊C4—21no—
381(C22⋊D43)⋊C4—21no—
382#13063284C2311yescharacteristic
383#13063283—21no—
384#13063283D411yescharacteristic
385#13063283D411yescharacteristic
386#13063283C2311yescharacteristic
387#13063283C2311yescharacteristic
388#13063282C2311yescharacteristic
389#13063282C2311yescharacteristic
390#13063281—21no—
391#13063281D411yescharacteristic
392#13063281D411yescharacteristic
393C4⋊C4×D43D411yescharacteristic
394C4⋊C4×D43D411yescharacteristic
395C22⋊C4×D43—21no—
396C22⋊C4×D43—21no—
397C22⋊C4×D43—21no—
398C22⋊C4×D43—21no—
399C22⋊C4×D43D411yescharacteristic
400C22⋊C4×D43D411yescharacteristic
401C2×C4×Dic43—21no—
402C42×D43—21no—
403C42×D43C2311yescharacteristic
404C42×D43C2311yescharacteristic
405C4⋊(C43⋊C8)C2311yescharacteristic, complemented
406C4⋊(C43⋊C8)C2311yescharacteristic, complemented
407Dic43⋊C8C2311yescharacteristic, complemented
408Dic43⋊C8C2311yescharacteristic, complemented
409Dic43⋊C8C2311yescharacteristic, complemented
410Dic43⋊C8C2311yescharacteristic, complemented
411#13063250C2311yescharacteristic, complemented
412#13063250C2311yescharacteristic, complemented
413#13063249C2311yescharacteristic, complemented
414#13063249C2311yescharacteristic, complemented
415#13063248C2311yescharacteristic, complemented
416#13063248C2311yescharacteristic, complemented
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic, complemented
422#13063247C2311yescharacteristic, complemented
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic, complemented
428#13063246C2311yescharacteristic, complemented
429#13063245C2311yescharacteristic
430#13063245C2311yescharacteristic
431#13063245C2311yescharacteristic
432#13063245C2311yescharacteristic
433#13063245C2311yescharacteristic, complemented
434#13063245C2311yescharacteristic, complemented
435C22⋊(C43⋊C8)C2311yescharacteristic
436C22⋊(C43⋊C8)C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441#13063236C2311yescharacteristic, complemented
442#13063235C2311yescharacteristic, complemented
443#13063235C2311yescharacteristic, complemented
444C4×C43⋊C8C2311yescharacteristic, complemented
445C8×Dic43C2311yescharacteristic, complemented
446C8×Dic43C2311yescharacteristic, complemented
447C2×#41×C43C2311yescharacteristic
448C22×D4×C43C2311yescharacteristic
449C2×Q16×C43C2311yescharacteristic, complemented
450C2×SD16×C43C2311yescharacteristic
451C2×SD16×C43C2311yescharacteristic
452C2×SD16×C43C2311yescharacteristic, complemented
453C2×SD16×C43C2311yescharacteristic, complemented
454C2×D8×C43C2311yescharacteristic
455C2×D8×C43C2311yescharacteristic
456C2×D8×C43C2311yescharacteristic, complemented
457C4⋊Q8×C43C2311yescharacteristic, complemented
458#127×C43C2311yescharacteristic
459#127×C43C2311yescharacteristic
460#126×C43—21no—
461#124×C43—21no—
462#124×C43C2311yescharacteristic
463#124×C43C2311yescharacteristic
464#124×C43C2311yescharacteristic, complemented
465#123×C43—21no—
466C22⋊Q8×C43—21no—
467C22⋊Q8×C43C2311yescharacteristic
468#121×C43—21no—
469#121×C43—21no—
470#121×C43C2311yescharacteristic
471#120×C43—21no—
472#120×C43—21no—
473C4×Q8×C43C2311yescharacteristic, complemented
474C4×D4×C43C2311yescharacteristic, complemented
475#117×C43C2311yescharacteristic
476C4⋊C8×C43C2311yescharacteristic, complemented
477C4⋊C8×C43C2311yescharacteristic, complemented
478#103×C43C2311yescharacteristic, complemented
479#103×C43C2311yescharacteristic, complemented
480#102×C43C2311yescharacteristic
481#102×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484#102×C43C2311yescharacteristic, complemented
485#102×C43C2311yescharacteristic, complemented
486C22⋊C8×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488#97×C43C2311yescharacteristic, complemented
489C4×C8×C43C2311yescharacteristic, complemented
490C24×C43—21no—
491C23×D43—21no—
492C23×D43—21no—
493C23×D43—21no—
494C23×D43—21no—
495C23×D43—21no—
496C23×D43—21no—
497C23×D43—44no—
498C23×D43—82no—
499C23×D43—82no—
500C23×D43C2×D411yescharacteristic
501#41×C43—41no—
502#41×C43—41no—
503C2×Q8×C43—21no—
504C2×Q8×C43C2411yescharacteristic
505C2×Q8×C43C2411yescharacteristic
506C2×D4×C43—21no—
507C2×D4×C43—21no—
508C2×D4×C43—21no—
509C2×D4×C43—21no—
510C2×D4×C43—21no—
511C2×D4×C43—21no—
512C2×D4×C43—21no—
513C2×D4×C43—41no—
514C2×D4×C43—41no—
515C2×D4×C43C2411yescharacteristic
516C2×D4×C43C2411yescharacteristic
517C2×D4×C43C2411yescharacteristic
518C2×D4×C43C2411yescharacteristic
519C22×C4×C43—21no—
520C22×C4×C43—21no—
521C22×C4×C43C2411yescharacteristic
522C2×C22⋊D43—21no—
523C2×C22⋊D43—21no—
524C2×C22⋊D43—21no—
525C2×C22⋊D43—21no—
526C2×C22⋊D43—21no—
527C2×C22⋊D43—21no—
528C2×C22⋊D43—21no—
529C2×C22⋊D43—21no—
530C2×C22⋊D43—21no—
531C2×C22⋊D43—21no—
532C2×C22⋊D43—21no—
533C2×C22⋊D43—21no—
534C2×C22⋊D43—21no—
535C2×C22⋊D43—21no—
536C2×C22⋊D43—21no—
537C2×C22⋊D43—21no—
538C2×C22⋊D43—21no—
539C2×C22⋊D43—21no—
540C2×C22⋊D43—21no—
541C2×C22⋊D43—21no—
542C2×C22⋊D43—44no—
543C22×Dic43—21no—
544C22×Dic43—21no—
545C22×Dic43—21no—
546C22×Dic43C2×D411yescharacteristic
547#10621902—22no—
548#10621902—22no—
549#10621902—41no—
550#10621902—41no—
551Q8×D43—22no—
552Q8×D43—22no—
553#10621900—22no—
554#10621900—22no—
555#10621900—41no—
556#10621900—41no—
557#10621900—44no—
558D4×D43—22no—
559D4×D43—22no—
560D4×D43—22no—
561D4×D43—22no—
562D4×D43—22no—
563D4×D43—22no—
564D4×D43—44no—
565D4×D43—41no—
566D4×D43—41no—
567D4×D43—41no—
568D4×D43—41no—
569D4×D43—44no—
570D4×D43—44no—
571D4×D43—82no—
572D4×D43—82no—
573D4×D43—82no—
574D4×D43—82no—
575#10621898—41no—
576#10621898—41no—
577#10621898—44no—
578C2×D172—21no—
579C2×D172—21no—
580C2×D172—21no—
581C2×D172—21no—
582C2×D172—21no—
583C2×D172—21no—
584C2×D172—21no—
585C2×D172—21no—
586C2×D172—41no—
587C2×D172—41no—
588C2×D172C2411yescharacteristic
589C2×D172C2411yescharacteristic
590C2×D172C2411yescharacteristic
591C2×D172C2411yescharacteristic
592C2×C4×D43—22no—
593C2×C4×D43—22no—
594C2×C4×D43—21no—
595C2×C4×D43—21no—
596C2×C4×D43—21no—
597C2×C4×D43—21no—
598C2×C4×D43—21no—
599C2×C4×D43—21no—
600C2×C4×D43—44no—
601C2×C4×D43C2×D411yescharacteristic
602C2×C4×D43C2×D411yescharacteristic
603C2×C4×D43C2×D411yescharacteristic
604C2×C4×D43C2×D411yescharacteristic
605C2×C4×D43C2×D411yescharacteristic
606C2×C4×D43C2×D411yescharacteristic
607C2×C4×D43C2411yescharacteristic
608C2×C4×D43C2411yescharacteristic
609C2×Dic86—21no—
610C2×Dic86—21no—
611C2×Dic86C2411yescharacteristic
612C2×Dic86C2411yescharacteristic
613Q16×C43—41no—
614SD16×C43—41no—
615SD16×C43—41no—
616SD16×C43—41no—
617SD16×C43—41no—
618D8×C43—41no—
619D8×C43—41no—
620D8×C43—41no—
621C2×C8×C43C2411yescharacteristic
622C2×C8×C43C2411yescharacteristic
623C2×C8×C43C2411yescharacteristic
624C2×C8×C43C2411yescharacteristic
625C4⋊C4×C43—21no—
626C4⋊C4×C43—21no—
627C4⋊C4×C43—21no—
628C4⋊C4×C43C2×D411yescharacteristic
629C4⋊C4×C43C2×D411yescharacteristic
630C4⋊C4×C43C2411yescharacteristic
631C4⋊C4×C43C2411yescharacteristic
632C22⋊C4×C43—21no—
633C22⋊C4×C43—21no—
634C22⋊C4×C43—21no—
635C22⋊C4×C43—21no—
636C22⋊C4×C43—21no—
637C22⋊C4×C43—21no—
638C22⋊C4×C43—21no—
639C22⋊C4×C43—21no—
640C22⋊C4×C43—21no—
641C22⋊C4×C43C2×D411yescharacteristic
642C22⋊C4×C43C2×D411yescharacteristic
643C42×C43—21no—
644C42×C43C2411yescharacteristic
645C42×C43C2411yescharacteristic
646C22⋊Dic43—21no—
647C22⋊Dic43—21no—
648C22⋊Dic43—21no—
649C22⋊Dic43—21no—
650C22⋊Dic43—21no—
651C22⋊Dic43—21no—
652C22⋊Dic43—21no—
653C22⋊Dic43C2×D411yescharacteristic
654C22⋊Dic43C2×D411yescharacteristic
655#10621885—41no—
656#10621885—41no—
657#10621884—41no—
658#10621884—41no—
659#10621884—41no—
660#10621884—41no—
661#10621883—41no—
662#10621883—41no—
663#10621883—41no—
664#10621883—41no—
665#10621882—41no—
666#10621882—41no—
667#10621882—41no—
668#10621882—41no—
669#10621882—41no—
670#10621882—41no—
671(C2×D43)⋊C4—21no—
672(C2×D43)⋊C4—21no—
673(C2×D43)⋊C4—21no—
674(C2×D43)⋊C4—21no—
675(C2×D43)⋊C4—21no—
676(C2×D43)⋊C4—21no—
677(C2×D43)⋊C4—21no—
678(C2×D43)⋊C4—21no—
679(C2×D43)⋊C4—21no—
680(C2×D43)⋊C4—21no—
681(C2×D43)⋊C4—21no—
682(C2×D43)⋊C4—21no—
683(C2×D43)⋊C4—21no—
684(C2×D43)⋊C4—21no—
685(C2×D43)⋊C4—21no—
686(C2×D43)⋊C4—21no—
687(C2×D43)⋊C4—21no—
688(C2×D43)⋊C4—21no—
689(C2×D43)⋊C4C2×D411yescharacteristic
690(C2×D43)⋊C4C2×D411yescharacteristic
691(C2×D43)⋊C4C2×D411yescharacteristic
692(C2×D43)⋊C4C2×D411yescharacteristic
693C4⋊Dic43—21no—
694C4⋊Dic43—21no—
695C4⋊Dic43—21no—
696C4⋊Dic43—21no—
697C4⋊Dic43—21no—
698C4⋊Dic43C2×D411yescharacteristic
699C4⋊Dic43C2×D411yescharacteristic
700C4⋊Dic43C2411yescharacteristic
701C4⋊Dic43C2411yescharacteristic
702Dic43⋊C4—21no—
703Dic43⋊C4—21no—
704Dic43⋊C4—21no—
705Dic43⋊C4—21no—
706Dic43⋊C4—21no—
707Dic43⋊C4—21no—
708Dic43⋊C4—21no—
709Dic43⋊C4—21no—
710Dic43⋊C4C2×D411yescharacteristic
711Dic43⋊C4C2×D411yescharacteristic
712Dic43⋊C4C2×D411yescharacteristic
713Dic43⋊C4C2×D411yescharacteristic
714C4×Dic43—21no—
715C4×Dic43—21no—
716C4×Dic43—21no—
717C4×Dic43—21no—
718C4×Dic43—21no—
719C4×Dic43C2×D411yescharacteristic
720C4×Dic43C2×D411yescharacteristic
721C4×Dic43C2×D411yescharacteristic
722C4×Dic43C2×D411yescharacteristic
723C4×Dic43C2411yescharacteristic
724C4×Dic43C2411yescharacteristic
725C2×C43⋊C8C2411yescharacteristic
726C2×C43⋊C8C2411yescharacteristic
727C2×C43⋊C8C2411yescharacteristic
728C2×C43⋊C8C2411yescharacteristic
729Dic172—41no—
730D344—41no—
731D344—41no—
732D344—41no—
733#10621873—41no—
734#10621873—41no—
735#10621873—41no—
736#10621873—41no—
737#10621872—22no—
738#10621872—22no—
739#10621872—22no—
740#10621872—22no—
741C23×C43—21no—
742C23×C43—21no—
743C23×C43—21no—
744C23×C43—21no—
745C23×C43—42no—
746C23×C43—81no—
747C23×C43—81no—
748C23×C43C22×D411yescharacteristic
749C22×D43—22no—
750C22×D43—21no—
751C22×D43—21no—
752C22×D43—21no—
753C22×D43—21no—
754C22×D43—41no—
755C22×D43—41no—
756C22×D43—42no—
757C22×D43—42no—
758C22×D43—42no—
759C22×D43—42no—
760C22×D43—42no—
761C22×D43—42no—
762C22×D43—42no—
763C22×D43—42no—
764C22×D43—42no—
765C22×D43—42no—
766C22×D43—42no—
767C22×D43—42no—
768C22×D43—81no—
769C22×D43—81no—
770C22×D43—81no—
771C22×D43—81no—
772C22×D43—81no—
773C22×D43—81no—
774C22×D43—816no—
775C22×D43C22×D411yescharacteristic
776C22×D43C22×D411yescharacteristic
777Q8×C43—21no—
778Q8×C43—21no—
779Q8×C43—21no—
780Q8×C43—21no—
781Q8×C43—81no—
782D4×C43—21no—
783D4×C43—21no—
784D4×C43—21no—
785D4×C43—21no—
786D4×C43—21no—
787D4×C43—21no—
788D4×C43—21no—
789D4×C43—21no—
790D4×C43—42no—
791D4×C43—42no—
792D4×C43—81no—
793D4×C43—81no—
794D4×C43—81no—
795D4×C43—81no—
796D4×C43—81no—
797C2×C4×C43—21no—
798C2×C4×C43—21no—
799C2×C4×C43—21no—
800C2×C4×C43—21no—
801C2×C4×C43—21no—
802C2×C4×C43—21no—
803C2×C4×C43—42no—
804C2×C4×C43—81no—
805C2×C4×C43C22×D411yescharacteristic
806C2×C4×C43C22×D411yescharacteristic
807C2×C4×C43C22×D411yescharacteristic
808C2×C4×C43C22×D411yescharacteristic
809C2×C4×C43C22×D411yescharacteristic
810C2×C4×C43C2511yescharacteristic
811C22⋊D43—42no—
812C22⋊D43—42no—
813C22⋊D43—42no—
814C22⋊D43—42no—
815C22⋊D43—42no—
816C22⋊D43—42no—
817C22⋊D43—42no—
818C22⋊D43—42no—
819C22⋊D43—81no—
820C22⋊D43—81no—
821C22⋊D43—81no—
822C22⋊D43—81no—
823C22⋊D43—81no—
824C22⋊D43—81no—
825C22⋊D43—81no—
826C22⋊D43—81no—
827C22⋊D43—81no—
828C22⋊D43—81no—
829C22⋊D43—81no—
830C22⋊D43—81no—
831C2×Dic43—22no—
832C2×Dic43—21no—
833C2×Dic43—21no—
834C2×Dic43—21no—
835C2×Dic43—21no—
836C2×Dic43—42no—
837C2×Dic43—42no—
838C2×Dic43—81no—
839C2×Dic43C22×D411yescharacteristic
840C2×Dic43C22×D411yescharacteristic
841C2×Dic43C22×D411yescharacteristic
842C2×Dic43C22×D411yescharacteristic
843C2×Dic43C22×D411yescharacteristic
844C2×Dic43C22×D411yescharacteristic
845D172—21no—
846D172—21no—
847D172—21no—
848D172—21no—
849D172—21no—
850D172—21no—
851D172—21no—
852D172—21no—
853D172—42no—
854D172—42no—
855D172—42no—
856D172—81no—
857D172—81no—
858D172—81no—
859D172—81no—
860D172—81no—
861C4×D43—22no—
862C4×D43—21no—
863C4×D43—21no—
864C4×D43—22no—
865C4×D43—41no—
866C4×D43—41no—
867C4×D43—41no—
868C4×D43—41no—
869C4×D43—42no—
870C4×D43—42no—
871C4×D43—42no—
872C4×D43—42no—
873C4×D43—81no—
874C4×D43—81no—
875C4×D43H(5,𝔽2)12yes—
876C4×D43H(5,𝔽2)12yes—
877Dic86—21no—
878Dic86—21no—
879Dic86—21no—
880Dic86—21no—
881Dic86—42no—
882Dic86—81no—
883C8×C43—21no—
884C8×C43—21no—
885C8×C43—21no—
886C8×C43—21no—
887C43⋊C8—21no—
888C43⋊C8—21no—
889C43⋊C8—21no—
890C43⋊C8—21no—
891#60806—431nomaximal, Sylow
892C22×C43—21no—
893C22×C43—21no—
894C22×C43—21no—
895C22×C43—41no—
896C22×C43—41no—
897C22×C43—41no—
898C22×C43—41no—
899C22×C43—41no—
900C22×C43—41no—
901C22×C43—41no—
902C22×C43—41no—
903C22×C43—41no—
904C22×C43—41no—
905C22×C43—41no—
906C22×C43—41no—
907C22×C43—84no—
908C22×C43C23×D411yescharacteristic
909C2×D43—21no—
910C2×D43—21no—
911C2×D43—21no—
912C2×D43—21no—
913C2×D43—21no—
914C2×D43—44no—
915C2×D43—41no—
916C2×D43—41no—
917C2×D43—41no—
918C2×D43—41no—
919C2×D43—41no—
920C2×D43—41no—
921C2×D43—41no—
922C2×D43—41no—
923C2×D43—41no—
924C2×D43—41no—
925C2×D43—41no—
926C2×D43—41no—
927C2×D43—84no—
928C2×D43—84no—
929C2×D43—84no—
930C2×D43—84no—
931C2×D43—84no—
932C2×D43—84no—
933C2×D43#53512yes—
934C4×C43—21no—
935C4×C43—21no—
936C4×C43—21no—
937C4×C43—21no—
938C4×C43—21no—
939C4×C43—41no—
940C4×C43—41no—
941C4×C43—41no—
942C4×C43—41no—
943C4×C43C2×H(5,𝔽2)11yescharacteristic
944C4×C43C2×H(5,𝔽2)11yescharacteristic
945Dic43—21no—
946Dic43—21no—
947Dic43—21no—
948Dic43—21no—
949Dic43—21no—
950Dic43—41no—
951Dic43—41no—
952Dic43—41no—
953Dic43—41no—
954Dic43#53512yes—
955#3455—431no—
956C2×#535—431no—
957#3224—431no—
958#3224—431no—
959#3224—431no—
960#3224—431no—
961#3224—431no—
962#3224—431no—
963#3224—431no—
964#3224D4311yescharacteristic, complemented
965#3222—431no—
966#3222—431no—
967#3222—431no—
968#3222—431no—
969#3220—431no—
970#3220—431no—
971#3220—431no—
972#3220—431no—
973#3153—431no—
974#3151—431no—
975#3140—431no—
976#3138—431no—
977#3040—431no—
978#3040—431no—
979#3038—431no—
980#3038—431no—
981#3005—431no—
982#3005—431no—
983#3003—431no—
984#3003—431no—
985#2921—431no—
986C2×C43—41no—
987C2×C43—81no—
988C2×C43—81no—
989C2×C43—81no—
990C2×C43—81no—
991C2×C43C2×#53511yescharacteristic
992C2×C43#358511yescharacteristic
993C2×C43#358511yescharacteristic
994D43—22no—
995D43—41no—
996D43—81no—
997D43—81no—
998D43—81no—
999D43—81no—
1000C22×#41—431no—
1001C23×D4—431no—
1002C2×#137—431no—
1003C2×#137—431no—
1004C2×AGL(1,ℤ/8)—431no—
1005C2×AGL(1,ℤ/8)—431no—
1006C2×AGL(1,ℤ/8)—431no—
1007C2×AGL(1,ℤ/8)—431no—
1008C2×AGL(1,ℤ/8)—431no—
1009C2×AGL(1,ℤ/8)—431no—
1010#542—431no—
1011#542—431no—
1012#542—431no—
1013#542C2×D4311yescharacteristic, complemented
1014#541—431no—
1015#541—431no—
1016#540—431no—
1017#540—431no—
1018#539—861no—
1019#539—861no—
1020#538—861no—
1021#538—861no—
1022#535—431no—
1023#535—431no—
1024#535—431no—
1025#535—431no—
1026#535—431no—
1027#535—431no—
1028#535—431no—
1029#535—861no—
1030#535—861no—
1031#535—861no—
1032#535—861no—
1033#535C2×D4311yescharacteristic
1034#533—431no—
1035#532—431no—
1036C2×#127—431no—
1037C2×#127—431no—
1038#529—861no—
1039#529—861no—
1040#529—861no—
1041#529—861no—
1042C2×#124—431no—
1043C2×#124—431no—
1044#525—431no—
1045#525—431no—
1046C2×#121—861no—
1047C2×#121—861no—
1048C2×#120—861no—
1049C2×#120—861no—
1050C4×#41—431no—
1051C4×#41—431no—
1052C2×#117—431no—
1053#497—431no—
1054#497—431no—
1055#496—431no—
1056#496—431no—
1057#496—431no—
1058#496—431no—
1059#496—431no—
1060#496C2×D4311yescharacteristic, complemented
1061#495—431no—
1062#495—431no—
1063#495—431no—
1064#495C2×D4311yescharacteristic, complemented
1065#493—431no—
1066#493—431no—
1067#492—431no—
1068#492—431no—
1069#490—431no—
1070#490—431no—
1071#490—431no—
1072#490—431no—
1073#489—431no—
1074#489—431no—
1075#489—431no—
1076#489C2×D4311yescharacteristic, complemented
1077#488—431no—
1078#488—431no—
1079#488—431no—
1080#488—431no—
1081#486—431no—
1082#486—431no—
1083#486—431no—
1084#486C2×D4311yescharacteristic, complemented
1085#464—431no—
1086#464—431no—
1087#464—431no—
1088#464—431no—
1089#464—431no—
1090#464—431no—
1091#464—431no—
1092#464C2×D4311yescharacteristic, complemented
1093#463—431no—
1094#463—431no—
1095#463—431no—
1096#463—431no—
1097#463—431no—
1098#463—431no—
1099#463—431no—
1100#463C2×D4311yescharacteristic, complemented
1101#460—431no—
1102#460—431no—
1103#460—431no—
1104#460—431no—
1105#460—431no—
1106#460—431no—
1107#460—431no—
1108#460C2×D4311yescharacteristic, complemented
1109#459—431no—
1110#459—431no—
1111#459—431no—
1112#459—431no—
1113#459—431no—
1114#459—431no—
1115#459—431no—
1116#459C2×D4311yescharacteristic, complemented
1117#452—431no—
1118#452—431no—
1119#452—431no—
1120#452—431no—
1121#452—431no—
1122#452—431no—
1123#452—431no—
1124#452C2×D4311yescharacteristic, complemented
1125#450—431no—
1126#450—431no—
1127#450—431no—
1128#450—431no—
1129#450—431no—
1130#450—431no—
1131#450—431no—
1132#450C2×D4311yescharacteristic, complemented
1133#449—431no—
1134#449—431no—
1135#449—431no—
1136#449—431no—
1137#449—431no—
1138#449—431no—
1139#449—431no—
1140#449C2×D4311yescharacteristic, complemented
1141#447—431no—
1142#447—431no—
1143#447—431no—
1144#447—431no—
1145#447—431no—
1146#447—431no—
1147#447—431no—
1148#447C2×D4311yescharacteristic, complemented
1149#433—431no—
1150#433—431no—
1151#433—431no—
1152#433—431no—
1153#433—431no—
1154#433—431no—
1155#433—431no—
1156#433C2×D4311yescharacteristic, complemented
1157#423—431no—
1158#423—431no—
1159#419—431no—
1160#419—431no—
1161#418—431no—
1162#418—431no—
1163#418—431no—
1164#418—431no—
1165#418—431no—
1166#418—431no—
1167#407—431no—
1168#407—431no—
1169C4×M16—431no—
1170C4×M16—431no—
1171C43#6080611yescharacteristic, complemented, Sylow
1172C25—861no—
1173C2×#41—431no—
1174C2×#41—431no—
1175C2×#41—431no—
1176C2×#41—431no—
1177C2×#41—431no—
1178C2×#41—861no—
1179C2×#41—861no—
1180C2×#41—1722no—
1181C2×#41—1722no—
1182C2×#41C22×D4311yescharacteristic
1183C22×Q8—431no—
1184C22×D4—431no—
1185C22×D4—431no—
1186C22×D4—431no—
1187C22×D4—431no—
1188C22×D4—431no—
1189C22×D4—431no—
1190C22×D4—861no—
1191C22×D4—861no—
1192C22×D4—861no—
1193C22×D4—861no—
1194C22×D4—861no—
1195C22×D4—861no—
1196C22×D4—861no—
1197C22×D4—861no—
1198C22×D4—1722no—
1199C22×D4—1722no—
1200C22×D4C22×D4311yescharacteristic
1201C23×C4—431no—
1202C23×C4—861no—
1203#137—1722no—
1204#137—1722no—
1205AGL(1,ℤ/8)—1722no—
1206AGL(1,ℤ/8)—1722no—
1207AGL(1,ℤ/8)—1722no—
1208AGL(1,ℤ/8)—1722no—
1209AGL(1,ℤ/8)—1722no—
1210AGL(1,ℤ/8)—1722no—
1211C2×Q16—431no—
1212C2×Q16—431no—
1213C2×Q16—431no—
1214C2×Q16C22×D4311yescharacteristic, complemented
1215C2×SD16—431no—
1216C2×SD16—431no—
1217C2×SD16—431no—
1218C2×SD16—431no—
1219C2×SD16—431no—
1220C2×SD16—431no—
1221C2×SD16—431no—
1222C2×SD16—431no—
1223C2×SD16—431no—
1224C2×SD16—431no—
1225C2×SD16—431no—
1226C2×SD16—431no—
1227C2×SD16C22×D4311yescharacteristic
1228C2×SD16C22×D4311yescharacteristic
1229C2×SD16C22×D4311yescharacteristic, complemented
1230C2×SD16C22×D4311yescharacteristic, complemented
1231C2×D8—431no—
1232C2×D8—431no—
1233C2×D8—431no—
1234C2×D8—431no—
1235C2×D8—431no—
1236C2×D8—431no—
1237C2×D8—431no—
1238C2×D8—431no—
1239C2×D8—431no—
1240C2×D8C22×D4311yescharacteristic
1241C2×D8C22×D4311yescharacteristic
1242C2×D8C22×D4311yescharacteristic, complemented
1243C2×M16—431no—
1244C2×M16—431no—
1245C2×M16—431no—
1246C2×M16—431no—
1247C4⋊Q8—431no—
1248C4⋊Q8—431no—
1249C4⋊Q8C22×D4311yescharacteristic, complemented
1250#127—431no—
1251#127—431no—
1252#127—431no—
1253#127—431no—
1254#127—431no—
1255#127—431no—
1256#127—431no—
1257#127—861no—
1258#127—861no—
1259#127—861no—
1260#127—861no—
1261#127C22×D4311yescharacteristic
1262#127C22×D4311yescharacteristic
1263#126—21no—
1264#126—861no—
1265#126—861no—
1266#126—861no—
1267#126—861no—
1268#126—861no—
1269#126—861no—
1270#126—861no—
1271#125—431no—
1272#125—431no—
1273#125—861no—
1274#125—861no—
1275#125—861no—
1276#125—861no—
1277#124—21no—
1278#124—431no—
1279#124—431no—
1280#124—431no—
1281#124—431no—
1282#124—431no—
1283#124—431no—
1284#124—431no—
1285#124—861no—
1286#124—861no—
1287#124—861no—
1288#124—861no—
1289#124—861no—
1290#124—861no—
1291#124—861no—
1292#124C22×D4311yescharacteristic
1293#124C22×D4311yescharacteristic
1294#124C22×D4311yescharacteristic, complemented
1295#123—21no—
1296#123—861no—
1297#123—861no—
1298#123—861no—
1299#123—861no—
1300#123—861no—
1301#123—861no—
1302#123—861no—
1303#123—861no—
1304#123—861no—
1305C22⋊Q8—21no—
1306C22⋊Q8—431no—
1307C22⋊Q8—431no—
1308C22⋊Q8—431no—
1309C22⋊Q8—861no—
1310C22⋊Q8—861no—
1311C22⋊Q8—861no—
1312C22⋊Q8—861no—
1313C22⋊Q8—861no—
1314C22⋊Q8C22×D4311yescharacteristic
1315#121—21no—
1316#121—21no—
1317#121—431no—
1318#121—431no—
1319#121—431no—
1320#121—861no—
1321#121—861no—
1322#121—861no—
1323#121—861no—
1324#121—861no—
1325#121—861no—
1326#121—861no—
1327#121—861no—
1328#121—861no—
1329#121—861no—
1330#121—861no—
1331#121—861no—
1332#121—861no—
1333#121—861no—
1334#121—861no—
1335#121—861no—
1336#121—861no—
1337#121—861no—
1338#121—861no—
1339#121—861no—
1340#121C22×D4311yescharacteristic
1341#120—21no—
1342#120—21no—
1343#120—861no—
1344#120—861no—
1345#120—861no—
1346#120—861no—
1347#120—861no—
1348#120—861no—
1349#120—861no—
1350#120—861no—
1351#120—861no—
1352#120—861no—
1353#120—861no—
1354#120—861no—
1355#120—861no—
1356#120—861no—
1357#120—861no—
1358#120—861no—
1359C4×Q8—431no—
1360C4×Q8—431no—
1361C4×Q8—431no—
1362C4×Q8—861no—
1363C4×Q8—861no—
1364C4×Q8C22×D4311yescharacteristic, complemented
1365C4×D4—431no—
1366C4×D4—431no—
1367C4×D4—431no—
1368C4×D4—861no—
1369C4×D4—861no—
1370C4×D4—861no—
1371C4×D4—861no—
1372C4×D4—861no—
1373C4×D4—861no—
1374C4×D4—861no—
1375C4×D4—861no—
1376C4×D4—861no—
1377C4×D4—861no—
1378C4×D4C22×D4311yescharacteristic, complemented
1379#117—431no—
1380#117—431no—
1381#117—431no—
1382#117—431no—
1383#117—431no—
1384#117—431no—
1385#117—431no—
1386#117—431no—
1387#117—431no—
1388#117—861no—
1389#117—861no—
1390#117C22×D4311yescharacteristic
1391C2×C4⋊C4—431no—
1392C2×C4⋊C4—431no—
1393C2×C22⋊C4—431no—
1394C2×C22⋊C4—431no—
1395C2×C22⋊C4—861no—
1396C2×C22⋊C4—861no—
1397C2×C22⋊C4—861no—
1398C2×C22⋊C4—861no—
1399C2×C42—431no—
1400C2×C42—431no—
1401C2×C42—861no—
1402C2×C42—861no—
1403C4⋊C8—431no—
1404C4⋊C8—431no—
1405C4⋊C8—431no—
1406C4⋊C8—431no—
1407C4⋊C8—431no—
1408C4⋊C8—431no—
1409C4⋊C8C22×D4311yescharacteristic, complemented
1410C4⋊C8C22×D4311yescharacteristic, complemented
1411#103—431no—
1412#103—431no—
1413#103—431no—
1414#103—431no—
1415#103—431no—
1416#103—431no—
1417#103C22×D4311yescharacteristic, complemented
1418#103C22×D4311yescharacteristic, complemented
1419#102—431no—
1420#102—431no—
1421#102—431no—
1422#102—431no—
1423#102—431no—
1424#102—431no—
1425#102—431no—
1426#102—431no—
1427#102—431no—
1428#102—431no—
1429#102—431no—
1430#102—431no—
1431#102—431no—
1432#102—431no—
1433#102—431no—
1434#102—431no—
1435#102—431no—
1436#102—431no—
1437#102C22×D4311yescharacteristic
1438#102C22×D4311yescharacteristic
1439#102C22×D4311yescharacteristic
1440#102C22×D4311yescharacteristic
1441#102C22×D4311yescharacteristic, complemented
1442#102C22×D4311yescharacteristic, complemented
1443C22⋊C8—431no—
1444C22⋊C8—431no—
1445C22⋊C8—431no—
1446C22⋊C8—431no—
1447C22⋊C8—431no—
1448C22⋊C8—431no—
1449C22⋊C8C22×D4311yescharacteristic
1450C22⋊C8C22×D4311yescharacteristic
1451#97—431no—
1452#97—431no—
1453#97—431no—
1454#97C22×D4311yescharacteristic, complemented
1455C4×C8—431no—
1456C4×C8—431no—
1457C4×C8—431no—
1458C4×C8C22×D4311yescharacteristic, complemented
1459C24—21no—
1460C24—431no—
1461C24—861no—
1462C24—861no—
1463C24—861no—
1464C24—861no—
1465C24—861no—
1466C24—861no—
1467C24—3442no—
1468C24—3442no—
1469C24—1724no—
1470#41—41no—
1471#41—41no—
1472#41—862no—
1473#41—862no—
1474#41—862no—
1475#41—862no—
1476#41—1721no—
1477#41—1721no—
1478#41—1724no—
1479#41—1721no—
1480#41—1721no—
1481#41—1724no—
1482#41—1721no—
1483#41—1721no—
1484C2×Q8—21no—
1485C2×Q8—431no—
1486C2×Q8—431no—
1487C2×Q8—861no—
1488C2×Q8—862no—
1489C2×Q8—862no—
1490C2×Q8—861no—
1491C2×Q8C23×D4311yescharacteristic
1492C2×Q8C23×D4311yescharacteristic
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—41no—
1501C2×D4—41no—
1502C2×D4—431no—
1503C2×D4—431no—
1504C2×D4—431no—
1505C2×D4—431no—
1506C2×D4—861no—
1507C2×D4—861no—
1508C2×D4—861no—
1509C2×D4—862no—
1510C2×D4—862no—
1511C2×D4—862no—
1512C2×D4—862no—
1513C2×D4—862no—
1514C2×D4—862no—
1515C2×D4—861no—
1516C2×D4—861no—
1517C2×D4—861no—
1518C2×D4—861no—
1519C2×D4—861no—
1520C2×D4—861no—
1521C2×D4—861no—
1522C2×D4—861no—
1523C2×D4—861no—
1524C2×D4—861no—
1525C2×D4—861no—
1526C2×D4—861no—
1527C2×D4—861no—
1528C2×D4—861no—
1529C2×D4—861no—
1530C2×D4—861no—
1531C2×D4—861no—
1532C2×D4—861no—
1533C2×D4—861no—
1534C2×D4—861no—
1535C2×D4—861no—
1536C2×D4—861no—
1537C2×D4—861no—
1538C2×D4—861no—
1539C2×D4—861no—
1540C2×D4—3442no—
1541C2×D4—3442no—
1542C2×D4—3442no—
1543C2×D4—3442no—
1544C2×D4—1721no—
1545C2×D4—1721no—
1546C2×D4—1721no—
1547C2×D4—1721no—
1548C2×D4—1721no—
1549C2×D4—1721no—
1550C2×D4—1724no—
1551C2×D4—1724no—
1552C2×D4—1724no—
1553C2×D4—1724no—
1554C2×D4C23×D4311yescharacteristic
1555C2×D4C23×D4311yescharacteristic
1556C2×D4C23×D4311yescharacteristic
1557C2×D4C23×D4311yescharacteristic
1558C22×C4—21no—
1559C22×C4—21no—
1560C22×C4—431no—
1561C22×C4—431no—
1562C22×C4—431no—
1563C22×C4—431no—
1564C22×C4—431no—
1565C22×C4—431no—
1566C22×C4—431no—
1567C22×C4—431no—
1568C22×C4—431no—
1569C22×C4—862no—
1570C22×C4—862no—
1571C22×C4—861no—
1572C22×C4—861no—
1573C22×C4—861no—
1574C22×C4—861no—
1575C22×C4—861no—
1576C22×C4—861no—
1577C22×C4—861no—
1578C22×C4—861no—
1579C22×C4—861no—
1580C22×C4—1724no—
1581C22×C4C23×D4311yescharacteristic
1582Q16—41no—
1583Q16—1721no—
1584Q16—1721no—
1585Q16—1721no—
1586SD16—41no—
1587SD16—41no—
1588SD16—41no—
1589SD16—41no—
1590SD16—1721no—
1591SD16—1721no—
1592SD16—1721no—
1593SD16—1721no—
1594SD16—1721no—
1595SD16—1721no—
1596SD16—1721no—
1597SD16—1721no—
1598SD16—1721no—
1599SD16—1721no—
1600SD16—1721no—
1601SD16—1721no—
1602D8—41no—
1603D8—41no—
1604D8—41no—
1605D8—1721no—
1606D8—1721no—
1607D8—1721no—
1608D8—1721no—
1609D8—1721no—
1610D8—1721no—
1611D8—1721no—
1612D8—1721no—
1613D8—1721no—
1614M16—862no—
1615M16—862no—
1616M16—862no—
1617M16—862no—
1618C2×C8—431no—
1619C2×C8—431no—
1620C2×C8—431no—
1621C2×C8—431no—
1622C2×C8C23×D4311yescharacteristic
1623C2×C8C23×D4311yescharacteristic
1624C2×C8C23×D4311yescharacteristic
1625C2×C8C23×D4311yescharacteristic
1626C4⋊C4—21no—
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—431no—
1630C4⋊C4—431no—
1631C4⋊C4—431no—
1632C4⋊C4—431no—
1633C4⋊C4—431no—
1634C4⋊C4—431no—
1635C4⋊C4—431no—
1636C4⋊C4—431no—
1637C4⋊C4—861no—
1638C4⋊C4—861no—
1639C4⋊C4—861no—
1640C4⋊C4—861no—
1641C4⋊C4—861no—
1642C4⋊C4—861no—
1643C4⋊C4—861no—
1644C4⋊C4—861no—
1645C4⋊C4—861no—
1646C4⋊C4—861no—
1647C4⋊C4—861no—
1648C4⋊C4—861no—
1649C4⋊C4—861no—
1650C4⋊C4D4×D4311yescharacteristic
1651C4⋊C4D4×D4311yescharacteristic
1652C4⋊C4C23×D4311yescharacteristic
1653C4⋊C4C23×D4311yescharacteristic
1654C22⋊C4—21no—
1655C22⋊C4—21no—
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4—21no—
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—431no—
1664C22⋊C4—431no—
1665C22⋊C4—431no—
1666C22⋊C4—431no—
1667C22⋊C4—431no—
1668C22⋊C4—431no—
1669C22⋊C4—861no—
1670C22⋊C4—861no—
1671C22⋊C4—861no—
1672C22⋊C4—861no—
1673C22⋊C4—861no—
1674C22⋊C4—861no—
1675C22⋊C4—861no—
1676C22⋊C4—861no—
1677C22⋊C4—861no—
1678C22⋊C4—861no—
1679C22⋊C4—861no—
1680C22⋊C4—861no—
1681C22⋊C4—861no—
1682C22⋊C4—861no—
1683C22⋊C4—861no—
1684C22⋊C4—861no—
1685C22⋊C4—861no—
1686C22⋊C4—861no—
1687C22⋊C4—861no—
1688C22⋊C4—861no—
1689C22⋊C4—861no—
1690C22⋊C4—861no—
1691C22⋊C4—861no—
1692C22⋊C4—861no—
1693C22⋊C4—861no—
1694C22⋊C4D4×D4311yescharacteristic
1695C22⋊C4D4×D4311yescharacteristic
1696C42—21no—
1697C42—431no—
1698C42—431no—
1699C42—431no—
1700C42—431no—
1701C42—431no—
1702C42—431no—
1703C42—861no—
1704C42—861no—
1705C42—861no—
1706C42—861no—
1707C42—861no—
1708C42C23×D4311yescharacteristic
1709C42C23×D4311yescharacteristic
1710C23—21no—
1711C23—21no—
1712C23—21no—
1713C23—21no—
1714C23—42no—
1715C23—81no—
1716C23—81no—
1717C23—431no—
1718C23—431no—
1719C23—862no—
1720C23—861no—
1721C23—861no—
1722C23—861no—
1723C23—861no—
1724C23—3441no—
1725C23—3441no—
1726C23—3441no—
1727C23—3441no—
1728C23—3441no—
1729C23—3441no—
1730C23—34416no—
1731C23—1721no—
1732C23—1721no—
1733C23—1722no—
1734C23—1722no—
1735C23—1722no—
1736C23—1722no—
1737C23—1722no—
1738C23—1722no—
1739C23—1722no—
1740C23—1722no—
1741C23—1722no—
1742C23—1722no—
1743C23—1722no—
1744C23—1722no—
1745C23C2×D4×D4311yescharacteristic
1746Q8—21no—
1747Q8—21no—
1748Q8—21no—
1749Q8—21no—
1750Q8—81no—
1751Q8—861no—
1752Q8—861no—
1753Q8—861no—
1754Q8—861no—
1755Q8—3441no—
1756Q8—1722no—
1757D4—21no—
1758D4—21no—
1759D4—21no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—42no—
1766D4—42no—
1767D4—81no—
1768D4—81no—
1769D4—81no—
1770D4—81no—
1771D4—81no—
1772D4—861no—
1773D4—861no—
1774D4—861no—
1775D4—861no—
1776D4—861no—
1777D4—861no—
1778D4—861no—
1779D4—861no—
1780D4—3441no—
1781D4—3441no—
1782D4—3441no—
1783D4—3441no—
1784D4—3441no—
1785D4—3441no—
1786D4—3441no—
1787D4—3441no—
1788D4—3441no—
1789D4—3441no—
1790D4—3441no—
1791D4—3441no—
1792D4—3441no—
1793D4—3441no—
1794D4—3441no—
1795D4—3441no—
1796D4—3441no—
1797D4—1722no—
1798D4—1722no—
1799D4—1722no—
1800D4—1722no—
1801D4—1722no—
1802D4—1722no—
1803D4—1722no—
1804D4—1722no—
1805D4—1722no—
1806D4—1722no—
1807D4—1722no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—42no—
1815C2×C4—81no—
1816C2×C4—431no—
1817C2×C4—432no—
1818C2×C4—432no—
1819C2×C4—431no—
1820C2×C4—431no—
1821C2×C4—431no—
1822C2×C4—431no—
1823C2×C4—431no—
1824C2×C4—862no—
1825C2×C4—862no—
1826C2×C4—862no—
1827C2×C4—861no—
1828C2×C4—861no—
1829C2×C4—861no—
1830C2×C4—861no—
1831C2×C4—861no—
1832C2×C4—861no—
1833C2×C4—3441no—
1834C2×C4—3441no—
1835C2×C4—3441no—
1836C2×C4—1721no—
1837C2×C4—1721no—
1838C2×C4—1721no—
1839C2×C4—1721no—
1840C2×C4—1722no—
1841C2×C4—1722no—
1842C2×C4—1722no—
1843C2×C4—1722no—
1844C2×C4—1722no—
1845C2×C4—1722no—
1846C2×C4C2×D4×D4311yescharacteristic
1847C2×C4C2×D4×D4311yescharacteristic
1848C2×C4C2×D4×D4311yescharacteristic
1849C2×C4C2×D4×D4311yescharacteristic
1850C2×C4C2×D4×D4311yescharacteristic
1851C2×C4C24×D4311yescharacteristic
1852C8—21no—
1853C8—21no—
1854C8—21no—
1855C8—21no—
1856C8—861no—
1857C8—861no—
1858C8—861no—
1859C8—861no—
1860C22—21no—
1861C22—21no—
1862C22—21no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—84no—
1876C22—432no—
1877C22—861no—
1878C22—861no—
1879C22—861no—
1880C22—861no—
1881C22—861no—
1882C22—3444no—
1883C22—3444no—
1884C22—3444no—
1885C22—3444no—
1886C22—3444no—
1887C22—3444no—
1888C22—1724no—
1889C22—1721no—
1890C22—1721no—
1891C22—1721no—
1892C22—1721no—
1893C22—1721no—
1894C22—1721no—
1895C22—1721no—
1896C22—1721no—
1897C22—1721no—
1898C22—1721no—
1899C22—1721no—
1900C22—1721no—
1901C22C22×D4×D4311yescharacteristic
1902C4—21no—
1903C4—21no—
1904C4—21no—
1905C4—21no—
1906C4—21no—
1907C4—41no—
1908C4—41no—
1909C4—41no—
1910C4—41no—
1911C4—432no—
1912C4—861no—
1913C4—861no—
1914C4—861no—
1915C4—861no—
1916C4—861no—
1917C4—1721no—
1918C4—1721no—
1919C4—1721no—
1920C4—1721no—
1921C4H(5,𝔽2)×D4311yescharacteristic
1922C4H(5,𝔽2)×D4311yescharacteristic
1923C2—41no—
1924C2—81no—
1925C2—81no—
1926C2—81no—
1927C2—81no—
1928C2—862no—
1929C2—3441no—
1930C2—3441no—
1931C2—3441no—
1932C2—3441no—
1933C2—1721no—
1934C2#535×D4311yescharacteristic
1935C2#1914937011yescharacteristic
1936C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3224C2
socleC22×C43C23×D4
hypercenter#3224D43
hypocenterC43#60806
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3224

Complements

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

NH ≅ G/Ntype
1. #19147982C2semidirect
2. #535×D43C2semidirect
3. #19145692C2semidirect
4. #19145691C2semidirect
5. #19145690C2semidirect
6. #19145689C2semidirect
7. #19145684C2semidirect
8. #19145683C2semidirect
9. #19145682C2semidirect
10. #19145666C2semidirect
11. #19145665C2semidirect
12. #19145664C2semidirect
13. #19145663C2semidirect
14. #19145644C2semidirect
15. #19145643C2semidirect
16. #19145642C2semidirect
17. #19145641C2semidirect
18. #19145056C2semidirect
19. #19145044C2semidirect
20. #19144980C2semidirect
21. #19144966C2semidirect
22. #19144086C2semidirect
23. #19144084C2semidirect
24. #19144072C2semidirect
25. #19144070C2semidirect
26. #19143838C2semidirect
27. #19143833C2semidirect
28. #19143823C2semidirect
29. #19143819C2semidirect
30. #19143229C2semidirect
31. C43×#3224C2semidirect
34. C2×#13063357C22semidirect
35. C2×#13063354C22semidirect
38. C2×#13063352C22semidirect
41. C2×#13063349C22semidirect
42. #14583523C22semidirect
43. #14583520C22semidirect
44. #14583518C22semidirect
45. #14583509C22semidirect
46. #14583507C22semidirect
47. #14583502C22semidirect
48. #14583500C22semidirect
64. #14583454C22semidirect
65. #14583448C22semidirect
80. C4×#10621902C22semidirect
81. C4×#10621900C22semidirect
83. #14583292C22semidirect
84. #14583290C22semidirect
85. #14583289C22semidirect
86. #14583288C22semidirect
87. #14583287C22semidirect
88. #14583286C22semidirect
89. #14583285C22semidirect
90. #14583283C22semidirect
91. #14583281C22semidirect
92. #14583281C22semidirect
93. #14583274C22semidirect
94. #14583274C22semidirect
95. #14583270C22semidirect
96. #14583270C22semidirect
97. #14583262C22semidirect
98. #14583262C22semidirect
99. #14583262C22semidirect
100. #14583262C22semidirect
101. #14583261C22semidirect
102. #14583259C22semidirect
103. #14583258C22semidirect
104. #14583255C22semidirect
105. #14583255C22semidirect
106. #14583252C22semidirect
107. #14583252C22semidirect
108. #14583247C22semidirect
109. #14583246C22semidirect
110. #14583245C22semidirect
111. #14583124C22semidirect
112. #14583123C22semidirect
113. #14583122C22semidirect
114. #14583121C22semidirect
115. #14583120C22semidirect
116. #14583119C22semidirect
117. #14583118C22semidirect
118. #14583117C22semidirect
119. #14583116C22semidirect
120. #14583115C22semidirect
121. #14583114C22semidirect
122. #14583113C22semidirect
123. #14583112C22semidirect
124. #14583111C22semidirect
125. #14583100C22semidirect
126. #14583099C22semidirect
127. #14583098C22semidirect
128. #14583098C22semidirect
129. #14583097C22semidirect
130. #14583097C22semidirect
131. #14583096C22semidirect
132. #14583095C22semidirect
133. #14583094C22semidirect
134. #14583093C22semidirect
135. #14583093C22semidirect
136. #14583092C22semidirect
137. #14583092C22semidirect
138. #14583091C22semidirect
139. #14583064C22semidirect
140. #14583063C22semidirect
141. #14583062C22semidirect
142. #14583061C22semidirect
143. #14583060C22semidirect
144. #14583059C22semidirect
145. #14583058C22semidirect
146. #14583052C22semidirect
147. #14583051C22semidirect
148. #14583051C22semidirect
149. #14583050C22semidirect
150. #14583049C22semidirect
151. #14583048C22semidirect
152. #14583048C22semidirect
153. #14583047C22semidirect
154. #14583046C22semidirect
155. #14583045C22semidirect
156. #14583044C22semidirect
157. #14583043C22semidirect
158. #14583042C22semidirect
159. #14583041C22semidirect
160. #14583035C22semidirect
161. #14583034C22semidirect
162. #14583034C22semidirect
163. #14583033C22semidirect
164. #14583032C22semidirect
165. #14583031C22semidirect
166. #14583031C22semidirect
167. #14582961C22semidirect
168. #14582960C22semidirect
169. #14582959C22semidirect
170. #14582959C22semidirect
171. #14582958C22semidirect
172. #14582957C22semidirect
173. #14582957C22semidirect
174. #14582921C22semidirect
175. #14582921C22semidirect
176. #14582906C22semidirect
177. #14582906C22semidirect
182. #14582902C22semidirect
183. #14582902C22semidirect
186. #14582851C22semidirect
187. C4×#10621872C22semidirect
188. C43×#542C22semidirect
190. C43×#496C22semidirect
191. C43×#495C22semidirect
192. C43×#489C22semidirect
193. C43×#486C22semidirect
194. C43×#464C22semidirect
195. C43×#463C22semidirect
196. C43×#460C22semidirect
197. C43×#459C22semidirect
198. C43×#452C22semidirect
199. C43×#450C22semidirect
200. C43×#449C22semidirect
201. C43×#447C22semidirect
202. C43×#433C22semidirect
240. C2×Dic172C23semidirect
241. C2×#10621885C23semidirect
242. C2×#10621885C23semidirect
245. C2×#10621873C23semidirect
246. C2×#10621873C23semidirect
249. C2×#10621883C23semidirect
250. C2×#10621883C23semidirect
253. C2×#10621884C23semidirect
254. C2×#10621884C23semidirect
257. C2×D344C23semidirect
262. C2×#10621882C23semidirect
263. C2×#10621882C23semidirect
268. #13063325C23semidirect
269. #13063323C23semidirect
280. #13063321C23semidirect
290. #13063316C23semidirect
291. #13063316C23semidirect
299. #13063313C23semidirect
365. Q8×Dic43C23semidirect
366. C4×Dic86C23semidirect
368. #13063290C23semidirect
370. C4×D172C23semidirect
372. D4×Dic43C23semidirect
375. #13063287C23semidirect
405. C4⋊(C43⋊C8)C23semidirect
406. C4⋊(C43⋊C8)C23semidirect
407. Dic43⋊C8C23semidirect
408. Dic43⋊C8C23semidirect
409. Dic43⋊C8C23semidirect
410. Dic43⋊C8C23semidirect
411. #13063250C23semidirect
412. #13063250C23semidirect
413. #13063249C23semidirect
414. #13063249C23semidirect
415. #13063248C23semidirect
416. #13063248C23semidirect
421. #13063247C23semidirect
422. #13063247C23semidirect
427. #13063246C23semidirect
428. #13063246C23semidirect
433. #13063245C23semidirect
434. #13063245C23semidirect
441. #13063236C23semidirect
442. #13063235C23semidirect
443. #13063235C23semidirect
444. C4×C43⋊C8C23semidirect
445. C8×Dic43C23semidirect
446. C8×Dic43C23semidirect
449. C2×Q16×C43C23semidirect
452. C2×SD16×C43C23semidirect
453. C2×SD16×C43C23semidirect
456. C2×D8×C43C23semidirect
457. C4⋊Q8×C43C23semidirect
464. #124×C43C23semidirect
473. C4×Q8×C43C23semidirect
474. C4×D4×C43C23semidirect
476. C4⋊C8×C43C23semidirect
477. C4⋊C8×C43C23semidirect
478. #103×C43C23semidirect
479. #103×C43C23semidirect
484. #102×C43C23semidirect
485. #102×C43C23semidirect
488. #97×C43C23semidirect
489. C4×C8×C43C23semidirect
964. #3224D43semidirect
1013. #542C2×D43semidirect
1060. #496C2×D43semidirect
1064. #495C2×D43semidirect
1076. #489C2×D43semidirect
1084. #486C2×D43semidirect
1092. #464C2×D43semidirect
1100. #463C2×D43semidirect
1108. #460C2×D43semidirect
1116. #459C2×D43semidirect
1124. #452C2×D43semidirect
1132. #450C2×D43semidirect
1140. #449C2×D43semidirect
1148. #447C2×D43semidirect
1156. #433C2×D43semidirect
1171. C43#60806semidirect
1214. C2×Q16C22×D43semidirect
1229. C2×SD16C22×D43semidirect
1230. C2×SD16C22×D43semidirect
1242. C2×D8C22×D43semidirect
1249. C4⋊Q8C22×D43semidirect
1294. #124C22×D43semidirect
1364. C4×Q8C22×D43semidirect
1378. C4×D4C22×D43semidirect
1409. C4⋊C8C22×D43semidirect
1410. C4⋊C8C22×D43semidirect
1417. #103C22×D43semidirect
1418. #103C22×D43semidirect
1441. #102C22×D43semidirect
1442. #102C22×D43semidirect
1454. #97C22×D43semidirect
1458. C4×C8C22×D43semidirect

Maximal subgroups

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

subgroupindex
#191479822
#535×D432
#191456922
#191456912
#191456902
#191456892
#191456842
#191456832
#191456822
#191456662
#191456652
#191456642
#191456632
#191456442
#191456432
#191456422
#191456412
#191450562
#191450442
#191449802
#191449662
#191440862
#191440842
#191440722
#191440702
#191438382
#191438332
#191438232
#191438192
#191432292
C43×#32242
#6080643