Finite Group Databasebeta

← #25968189

Subgroups — #25968189

Order 11008.

2218 conjugacy classes of subgroups.

The subgroup lattice has 1922 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148345C211yesmaximal, characteristic, complemented
2#535×D43C211yesmaximal, characteristic, complemented
3#19145687C211yesmaximal, characteristic, complemented
4#19145685C211yesmaximal, characteristic, complemented
5#19145683C211yesmaximal, characteristic, complemented
6#19145669C211yesmaximal, characteristic, complemented
7#19145667C211yesmaximal, characteristic, complemented
8#19145665C211yesmaximal, characteristic, complemented
9#19145663C211yesmaximal, characteristic, complemented
10#19145612C211yesmaximal, characteristic, complemented
11#19145609C211yesmaximal, characteristic, complemented
12#19145599C211yesmaximal, characteristic, complemented
13#19145596C211yesmaximal, characteristic, complemented
14#19145558C211yesmaximal, characteristic, complemented
15#19145555C211yesmaximal, characteristic, complemented
16#19145537C211yesmaximal, characteristic, complemented
17#19145535C211yesmaximal, characteristic, complemented
18#19145068C211yesmaximal, characteristic, complemented
19#19145066C211yesmaximal, characteristic, complemented
20#19144946C211yesmaximal, characteristic, complemented
21#19144944C211yesmaximal, characteristic, complemented
22#19144135C211yesmaximal, characteristic, complemented
23#19144129C211yesmaximal, characteristic, complemented
24#19144114C211yesmaximal, characteristic, complemented
25#19144111C211yesmaximal, characteristic, complemented
26#19143852C211yesmaximal, characteristic, complemented
27#19143819C211yesmaximal, characteristic, complemented
28#19143810C211yesmaximal, characteristic, complemented
29#450×D43C211yesmaximal, characteristic, complemented
30#19143251C211yesmaximal, characteristic, complemented
31C43×#3224C211yesmaximal, characteristic, complemented
32C2×#41×D43C2211yescharacteristic
33C22×D4×D43C2211yescharacteristic
34C2×#13063357C2211yescharacteristic, complemented
35C2×#13063354C2211yescharacteristic, complemented
36C2×#13063349C2211yescharacteristic, complemented
37C2×#13063349C2211yescharacteristic, complemented
38C2×#13063346C2211yescharacteristic, complemented
39C2×#13063344C2211yescharacteristic, complemented
40C2×SD16×D43C2211yescharacteristic, complemented
41C2×SD16×D43C2211yescharacteristic, complemented
42#14583618—21no—
43#14583603—21no—
44#14583586—21no—
45#14583585—21no—
46#14583585—21no—
47#14583583—21no—
48#14583579—21no—
49#14583577—21no—
50#14583526C2211yescharacteristic, complemented
51#14583516C2211yescharacteristic, complemented
52#14583511C2211yescharacteristic, complemented
53#14583509C2211yescharacteristic, complemented
54#14583469C2211yescharacteristic, complemented
55#14583468C2211yescharacteristic
56#14583467C2211yescharacteristic
57#14583467C2211yescharacteristic
58#14583466C2211yescharacteristic
59#14583465—21no—
60#14583465—21no—
61#14583464—21no—
62#14583464—21no—
63#14583463C2211yescharacteristic
64#14583462C2211yescharacteristic
65#14583462C2211yescharacteristic
66#14583454C2211yescharacteristic, complemented
67#14583453C2211yescharacteristic, complemented
68#127×D43C2211yescharacteristic
69#127×D43C2211yescharacteristic
70#14583431C2211yescharacteristic, complemented
71#14583428C2211yescharacteristic, complemented
72#124×D43C2211yescharacteristic
73#124×D43C2211yescharacteristic
74#14583409C2211yescharacteristic
75C22⋊Q8×D43C2211yescharacteristic
76#121×D43—21no—
77#121×D43—21no—
78#120×D43—21no—
79#120×D43—21no—
80#14583378C2211yescharacteristic, complemented
81#14583375C2211yescharacteristic, complemented
82#117×D43C2211yescharacteristic
83#14583294C2211yescharacteristic, complemented
84#14583293C2211yescharacteristic, complemented
85#14583292C2211yescharacteristic, complemented
86#14583290C2211yescharacteristic, complemented
87#14583289C2211yescharacteristic, complemented
88#14583287C2211yescharacteristic, complemented
89#14583287C2211yescharacteristic, complemented
90#14583282C2211yescharacteristic, complemented
91#14583281C2211yescharacteristic, complemented
92#14583280C2211yescharacteristic, complemented
93#14583272C2211yescharacteristic, complemented
94#14583271C2211yescharacteristic, complemented
95#14583270C2211yescharacteristic, complemented
96#14583270C2211yescharacteristic, complemented
97#14583264C2211yescharacteristic, complemented
98#14583263C2211yescharacteristic, complemented
99#14583262C2211yescharacteristic, complemented
100#14583262C2211yescharacteristic, complemented
101#14583261C2211yescharacteristic, complemented
102#14583260C2211yescharacteristic, complemented
103#14583257C2211yescharacteristic, complemented
104#14583255C2211yescharacteristic, complemented
105#14583254C2211yescharacteristic, complemented
106#14583253C2211yescharacteristic, complemented
107#14583252C2211yescharacteristic, complemented
108#14583247C2211yescharacteristic, complemented
109#14583244C2211yescharacteristic, complemented
110#14583244C2211yescharacteristic, complemented
111#14583124C2211yescharacteristic, complemented
112#14583124C2211yescharacteristic, complemented
113#14583123C2211yescharacteristic, complemented
114#14583122C2211yescharacteristic, complemented
115#14583122C2211yescharacteristic, complemented
116#14583121C2211yescharacteristic, complemented
117#14583120C2211yescharacteristic, complemented
118#14583120C2211yescharacteristic, complemented
119#14583119C2211yescharacteristic, complemented
120#14583118C2211yescharacteristic, complemented
121#14583118C2211yescharacteristic, complemented
122#14583116C2211yescharacteristic, complemented
123#14583114C2211yescharacteristic, complemented
124#14583112C2211yescharacteristic, complemented
125#14583100C2211yescharacteristic, complemented
126#14583100C2211yescharacteristic, complemented
127#14583099C2211yescharacteristic, complemented
128#14583098C2211yescharacteristic, complemented
129#14583098C2211yescharacteristic, complemented
130#14583098C2211yescharacteristic, complemented
131#14583098C2211yescharacteristic, complemented
132#14583097C2211yescharacteristic, complemented
133#14583097C2211yescharacteristic, complemented
134#14583096C2211yescharacteristic, complemented
135#14583096C2211yescharacteristic, complemented
136#14583094C2211yescharacteristic, complemented
137#14583092C2211yescharacteristic, complemented
138#14583092C2211yescharacteristic, complemented
139#14583063C2211yescharacteristic, complemented
140#14583063C2211yescharacteristic, complemented
141#14583061C2211yescharacteristic, complemented
142#14583061C2211yescharacteristic, complemented
143#14583059C2211yescharacteristic, complemented
144#14583056C2211yescharacteristic, complemented
145#14583056C2211yescharacteristic, complemented
146#14583053C2211yescharacteristic, complemented
147#14583052C2211yescharacteristic, complemented
148#14583052C2211yescharacteristic, complemented
149#14583051C2211yescharacteristic
150#14583051C2211yescharacteristic
151#14583051C2211yescharacteristic
152#14583051C2211yescharacteristic
153#14583051C2211yescharacteristic, complemented
154#14583051C2211yescharacteristic, complemented
155#14583050C2211yescharacteristic, complemented
156#14583050C2211yescharacteristic, complemented
157#14583049C2211yescharacteristic, complemented
158#14583048C2211yescharacteristic
159#14583048C2211yescharacteristic
160#14583048C2211yescharacteristic, complemented
161#14583042C2211yescharacteristic, complemented
162#14583036C2211yescharacteristic, complemented
163#14583032C2211yescharacteristic, complemented
164#14583031C2211yescharacteristic
165#14583031C2211yescharacteristic
166#14583031C2211yescharacteristic, complemented
167#14582960C2211yescharacteristic, complemented
168#14582957C2211yescharacteristic, complemented
169#14582957C2211yescharacteristic, complemented
170#14582955C2211yescharacteristic, complemented
171#14582954C2211yescharacteristic, complemented
172#14582951C2211yescharacteristic, complemented
173#14582950C2211yescharacteristic, complemented
174#14582924C2211yescharacteristic, complemented
175#14582924C2211yescharacteristic, complemented
176#14582902C2211yescharacteristic, complemented
177#14582902C2211yescharacteristic, complemented
178#14582899C2211yescharacteristic, complemented
179#14582897C2211yescharacteristic, complemented
180#14582894C2211yescharacteristic, complemented
181#14582892C2211yescharacteristic, complemented
182#102×D43C2211yescharacteristic, complemented
183#102×D43C2211yescharacteristic, complemented
184#14582861C2211yescharacteristic
185C22⋊C8×D43C2211yescharacteristic
186#14582856C2211yescharacteristic, complemented
187#14582853C2211yescharacteristic, 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×#10621898—21no—
206C2×#10621898C2311yescharacteristic
207C2×#10621900—21no—
208C2×#10621900C2311yescharacteristic
209C2×#10621900C2311yescharacteristic
210#41×D43—42no—
211#41×D43—42no—
212C2×Q8×D43C2311yescharacteristic
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#13063349—42no—
235#13063349—42no—
236#13063346—42no—
237#13063344—42no—
238C2×Dic172C2311yescharacteristic, complemented
239C2×Dic172C2311yescharacteristic, complemented
240C2×#10621885C2311yescharacteristic, complemented
241C2×#10621885C2311yescharacteristic, complemented
242C2×#10621885C2311yescharacteristic, complemented
243C2×#10621873C2311yescharacteristic
244C2×#10621873C2311yescharacteristic
245C2×#10621873C2311yescharacteristic
246C2×#10621873C2311yescharacteristic
247C2×#10621873C2311yescharacteristic, complemented
248C2×#10621873C2311yescharacteristic, complemented
249C2×#10621883C2311yescharacteristic
250C2×#10621883C2311yescharacteristic
251C2×#10621883C2311yescharacteristic
252C2×#10621883C2311yescharacteristic
253C2×#10621883C2311yescharacteristic, complemented
254C2×#10621883C2311yescharacteristic, complemented
255C2×#10621883C2311yescharacteristic, complemented
256C2×#10621884C2311yescharacteristic
257C2×#10621884C2311yescharacteristic
258C2×#10621884C2311yescharacteristic, complemented
259SD16×D43—42no—
260SD16×D43—42no—
261C2×#10621882C2311yescharacteristic
262C2×#10621882C2311yescharacteristic
263C2×#10621882C2311yescharacteristic, complemented
264C2×#10621872C2311yescharacteristic
265C2×#10621872C2311yescharacteristic
266C2×C8×D43C2311yescharacteristic
267C2×C8×D43C2311yescharacteristic
268#13063325C2311yescharacteristic, complemented
269#13063324C2311yescharacteristic, complemented
270#13063323—21no—
271#13063323C2311yescharacteristic, complemented
272#13063322C2311yescharacteristic
273#13063322C2311yescharacteristic
274#13063321—21no—
275#13063321—21no—
276#13063321—21no—
277#13063321—21no—
278#13063321C2311yescharacteristic
279#13063321C2311yescharacteristic
280#13063321C2311yescharacteristic
281#13063321C2311yescharacteristic
282#13063318—21no—
283#13063318—21no—
284#13063318—21no—
285#13063318—21no—
286#13063318—21no—
287#13063318—21no—
288#13063318—21no—
289#13063317C2311yescharacteristic, complemented
290#13063316—21no—
291#13063316—21no—
292#13063316C2311yescharacteristic, complemented
293#13063315—21no—
294#13063315—21no—
295#13063315—21no—
296#13063315—21no—
297#13063315—21no—
298#13063314C2311yescharacteristic
299#13063314C2311yescharacteristic
300#13063313C2311yescharacteristic
301#13063313C2311yescharacteristic
302#13063312—21no—
303#13063312C2311yescharacteristic
304#13063312C2311yescharacteristic
305#13063312C2311yescharacteristic, complemented
306#13063311—21no—
307#13063311—21no—
308#13063311—21no—
309#13063311—21no—
310#13063307—21no—
311#13063307—21no—
312#13063307—21no—
313#13063307—21no—
314#13063307—21no—
315#13063306—21no—
316#13063305C2311yescharacteristic
317#13063305C2311yescharacteristic
318#13063304C2311yescharacteristic
319#13063304C2311yescharacteristic
320#13063303—21no—
321#13063303—21no—
322#13063303—21no—
323#13063302—21no—
324#13063302—21no—
325#13063302—21no—
326#13063302—21no—
327#13063301—21no—
328#13063301—21no—
329#13063301C2311yescharacteristic
330#13063300—21no—
331#13063300—21no—
332#13063299—21no—
333#13063299—21no—
334#13063298—21no—
335#13063298—21no—
336#13063298—21no—
337#13063298—21no—
338#13063297—21no—
339#13063297—21no—
340#13063297—21no—
341#13063297—21no—
342#13063296—21no—
343#13063296—21no—
344#13063296C2311yescharacteristic
345#13063295—21no—
346#13063295—21no—
347#13063295—21no—
348#13063295—21no—
349#13063295—21no—
350#13063295—21no—
351#13063294—21no—
352#13063294—21no—
353#13063293—21no—
354#13063293—21no—
355#13063293—21no—
356#13063293—21no—
357#13063293—21no—
358#13063293—21no—
359#13063293—21no—
360Q8×Dic43—21no—
361Q8×Dic43C2311yescharacteristic, complemented
362C4×Dic86—21no—
363C4×Dic86—21no—
364C4×Dic86C2311yescharacteristic, complemented
365C4×Dic86C2311yescharacteristic, complemented
366#13063290—21no—
367#13063290C2311yescharacteristic, complemented
368#13063290C2311yescharacteristic, complemented
369D4×Dic43—21no—
370D4×Dic43C2311yescharacteristic, complemented
371C4×C22⋊D43—21no—
372C4×C22⋊D43—21no—
373(C22⋊D43)⋊C4—21no—
374(C22⋊D43)⋊C4—21no—
375(C22⋊D43)⋊C4—21no—
376#13063284—21no—
377#13063284C2311yescharacteristic
378#13063283—21no—
379#13063283—21no—
380#13063283D411yescharacteristic
381#13063283D411yescharacteristic
382#13063283C2311yescharacteristic
383#13063282—21no—
384#13063282—21no—
385#13063282C2311yescharacteristic
386#13063282C2311yescharacteristic
387#13063281—21no—
388#13063281—21no—
389#13063281D411yescharacteristic
390#13063281D411yescharacteristic
391C2×Dic43⋊C4—21no—
392C4⋊C4×D43—21no—
393C4⋊C4×D43D411yescharacteristic
394C4⋊C4×D43D411yescharacteristic
395C4⋊C4×D43C2311yescharacteristic
396C22⋊C4×D43—21no—
397C22⋊C4×D43—21no—
398C22⋊C4×D43—21no—
399C22⋊C4×D43—21no—
400C22⋊C4×D43—21no—
401C22⋊C4×D43D411yescharacteristic
402C22⋊C4×D43D411yescharacteristic
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—44no—
540C22×Dic43—21no—
541C22×Dic43—21no—
542C22×Dic43—21no—
543C22×Dic43C2×D411yescharacteristic
544#10621902—22no—
545#10621902—22no—
546Q8×D43—22no—
547Q8×D43—22no—
548Q8×D43—41no—
549Q8×D43—41no—
550#10621900—22no—
551#10621900—22no—
552#10621900—22no—
553#10621900—22no—
554#10621900—44no—
555D4×D43—22no—
556D4×D43—22no—
557D4×D43—22no—
558D4×D43—22no—
559D4×D43—44no—
560D4×D43—41no—
561D4×D43—41no—
562D4×D43—41no—
563D4×D43—41no—
564D4×D43—41no—
565D4×D43—41no—
566D4×D43—44no—
567D4×D43—44no—
568D4×D43—82no—
569D4×D43—82no—
570D4×D43—82no—
571D4×D43—82no—
572#10621898—41no—
573#10621898—41no—
574#10621898—44no—
575C2×D172—21no—
576C2×D172—21no—
577C2×D172—21no—
578C2×D172—21no—
579C2×D172—21no—
580C2×D172—21no—
581C2×D172—41no—
582C2×D172—41no—
583C2×D172C2411yescharacteristic
584C2×D172C2411yescharacteristic
585C2×D172C2411yescharacteristic
586C2×C4×D43—22no—
587C2×C4×D43—22no—
588C2×C4×D43—21no—
589C2×C4×D43—21no—
590C2×C4×D43—21no—
591C2×C4×D43—21no—
592C2×C4×D43—21no—
593C2×C4×D43—44no—
594C2×C4×D43C2×D411yescharacteristic
595C2×C4×D43C2×D411yescharacteristic
596C2×C4×D43C2×D411yescharacteristic
597C2×C4×D43C2×D411yescharacteristic
598C2×C4×D43C2×D411yescharacteristic
599C2×C4×D43C2×D411yescharacteristic
600C2×C4×D43C2411yescharacteristic
601C2×C4×D43C2411yescharacteristic
602C2×Dic86—21no—
603C2×Dic86—21no—
604C2×Dic86—21no—
605C2×Dic86C2411yescharacteristic
606C2×Dic86C2411yescharacteristic
607C2×Dic86C2411yescharacteristic
608Q16×C43—41no—
609SD16×C43—41no—
610SD16×C43—41no—
611SD16×C43—41no—
612SD16×C43—41no—
613D8×C43—41no—
614D8×C43—41no—
615D8×C43—41no—
616C2×C8×C43C2411yescharacteristic
617C2×C8×C43C2411yescharacteristic
618C2×C8×C43C2411yescharacteristic
619C2×C8×C43C2411yescharacteristic
620C4⋊C4×C43—21no—
621C4⋊C4×C43—21no—
622C4⋊C4×C43—21no—
623C4⋊C4×C43C2×D411yescharacteristic
624C4⋊C4×C43C2×D411yescharacteristic
625C4⋊C4×C43C2411yescharacteristic
626C4⋊C4×C43C2411yescharacteristic
627C22⋊C4×C43—21no—
628C22⋊C4×C43—21no—
629C22⋊C4×C43—21no—
630C22⋊C4×C43—21no—
631C22⋊C4×C43—21no—
632C22⋊C4×C43—21no—
633C22⋊C4×C43—21no—
634C22⋊C4×C43—21no—
635C22⋊C4×C43—21no—
636C22⋊C4×C43C2×D411yescharacteristic
637C22⋊C4×C43C2×D411yescharacteristic
638C42×C43—21no—
639C42×C43C2411yescharacteristic
640C42×C43C2411yescharacteristic
641C22⋊Dic43—21no—
642C22⋊Dic43—21no—
643C22⋊Dic43—21no—
644C22⋊Dic43—21no—
645C22⋊Dic43—21no—
646C22⋊Dic43—21no—
647C22⋊Dic43—21no—
648C22⋊Dic43—21no—
649C22⋊Dic43—21no—
650C22⋊Dic43—21no—
651C22⋊Dic43C2×D411yescharacteristic
652C22⋊Dic43C2×D411yescharacteristic
653#10621885—41no—
654#10621885—41no—
655#10621885—41no—
656#10621884—41no—
657#10621884—41no—
658#10621884—41no—
659#10621883—41no—
660#10621883—41no—
661#10621883—41no—
662#10621883—41no—
663#10621883—41no—
664#10621883—41no—
665#10621883—41no—
666#10621882—41no—
667#10621882—41no—
668#10621882—41no—
669(C2×D43)⋊C4—21no—
670(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
682(C2×D43)⋊C4C2×D411yescharacteristic
683(C2×D43)⋊C4C2×D411yescharacteristic
684(C2×D43)⋊C4C2×D411yescharacteristic
685C4⋊Dic43—21no—
686C4⋊Dic43—21no—
687C4⋊Dic43—21no—
688C4⋊Dic43—21no—
689C4⋊Dic43—21no—
690C4⋊Dic43—21no—
691C4⋊Dic43C2×D411yescharacteristic
692C4⋊Dic43C2×D411yescharacteristic
693C4⋊Dic43C2411yescharacteristic
694C4⋊Dic43C2411yescharacteristic
695Dic43⋊C4—21no—
696Dic43⋊C4—21no—
697Dic43⋊C4—21no—
698Dic43⋊C4—21no—
699Dic43⋊C4—21no—
700Dic43⋊C4—21no—
701Dic43⋊C4—21no—
702Dic43⋊C4—21no—
703Dic43⋊C4—21no—
704Dic43⋊C4—21no—
705Dic43⋊C4—21no—
706Dic43⋊C4—21no—
707Dic43⋊C4—21no—
708Dic43⋊C4—21no—
709Dic43⋊C4C2×D411yescharacteristic
710Dic43⋊C4C2×D411yescharacteristic
711Dic43⋊C4C2×D411yescharacteristic
712Dic43⋊C4C2×D411yescharacteristic
713C4×Dic43—21no—
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—
730Dic172—41no—
731#10621873—41no—
732#10621873—41no—
733#10621873—41no—
734#10621873—41no—
735#10621873—41no—
736#10621873—41no—
737#10621872—22no—
738#10621872—22no—
739C8×D43—22no—
740C8×D43—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—22no—
751C22×D43—21no—
752C22×D43—21no—
753C22×D43—21no—
754C22×D43—41no—
755C22×D43—42no—
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—81no—
768C22×D43—81no—
769C22×D43—81no—
770C22×D43—81no—
771C22×D43—81no—
772C22×D43—81no—
773C22×D43—816no—
774C22×D43C22×D411yescharacteristic
775C22×D43C22×D411yescharacteristic
776Q8×C43—21no—
777Q8×C43—21no—
778Q8×C43—21no—
779Q8×C43—21no—
780Q8×C43—81no—
781D4×C43—21no—
782D4×C43—21no—
783D4×C43—21no—
784D4×C43—21no—
785D4×C43—21no—
786D4×C43—21no—
787D4×C43—21no—
788D4×C43—21no—
789D4×C43—42no—
790D4×C43—42no—
791D4×C43—81no—
792D4×C43—81no—
793D4×C43—81no—
794D4×C43—81no—
795D4×C43—81no—
796C2×C4×C43—21no—
797C2×C4×C43—21no—
798C2×C4×C43—21no—
799C2×C4×C43—21no—
800C2×C4×C43—21no—
801C2×C4×C43—21no—
802C2×C4×C43—42no—
803C2×C4×C43—81no—
804C2×C4×C43C22×D411yescharacteristic
805C2×C4×C43C22×D411yescharacteristic
806C2×C4×C43C22×D411yescharacteristic
807C2×C4×C43C22×D411yescharacteristic
808C2×C4×C43C22×D411yescharacteristic
809C2×C4×C43C2511yescharacteristic
810C22⋊D43—42no—
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—
827C2×Dic43—22no—
828C2×Dic43—21no—
829C2×Dic43—21no—
830C2×Dic43—21no—
831C2×Dic43—21no—
832C2×Dic43—21no—
833C2×Dic43—42no—
834C2×Dic43—42no—
835C2×Dic43—81no—
836C2×Dic43C22×D411yescharacteristic
837C2×Dic43C22×D411yescharacteristic
838C2×Dic43C22×D411yescharacteristic
839C2×Dic43C22×D411yescharacteristic
840C2×Dic43C22×D411yescharacteristic
841C2×Dic43C22×D411yescharacteristic
842D172—21no—
843D172—21no—
844D172—21no—
845D172—21no—
846D172—21no—
847D172—21no—
848D172—42no—
849D172—42no—
850D172—81no—
851D172—81no—
852D172—81no—
853D172—81no—
854C4×D43—22no—
855C4×D43—22no—
856C4×D43—22no—
857C4×D43—21no—
858C4×D43—21no—
859C4×D43—22no—
860C4×D43—41no—
861C4×D43—41no—
862C4×D43—42no—
863C4×D43—42no—
864C4×D43—42no—
865C4×D43—42no—
866C4×D43—81no—
867C4×D43H(5,𝔽2)12yes—
868C4×D43H(5,𝔽2)12yes—
869Dic86—21no—
870Dic86—21no—
871Dic86—21no—
872Dic86—21no—
873Dic86—21no—
874Dic86—21no—
875Dic86—42no—
876Dic86—42no—
877Dic86—81no—
878C8×C43—21no—
879C8×C43—21no—
880C8×C43—21no—
881C8×C43—21no—
882C43⋊C8—21no—
883C43⋊C8—21no—
884C43⋊C8—21no—
885C43⋊C8—21no—
886#60812—431nomaximal, Sylow
887C22×C43—21no—
888C22×C43—21no—
889C22×C43—21no—
890C22×C43—41no—
891C22×C43—41no—
892C22×C43—41no—
893C22×C43—41no—
894C22×C43—41no—
895C22×C43—41no—
896C22×C43—41no—
897C22×C43—41no—
898C22×C43—41no—
899C22×C43—41no—
900C22×C43—41no—
901C22×C43—41no—
902C22×C43—84no—
903C22×C43C23×D411yescharacteristic
904C2×D43—21no—
905C2×D43—21no—
906C2×D43—21no—
907C2×D43—21no—
908C2×D43—44no—
909C2×D43—41no—
910C2×D43—41no—
911C2×D43—41no—
912C2×D43—41no—
913C2×D43—41no—
914C2×D43—41no—
915C2×D43—41no—
916C2×D43—41no—
917C2×D43—41no—
918C2×D43—84no—
919C2×D43—84no—
920C2×D43—84no—
921C2×D43—84no—
922C2×D43—84no—
923C2×D43—84no—
924C2×D43#53512yes—
925C2×D43#57712yes—
926C4×C43—21no—
927C4×C43—21no—
928C4×C43—21no—
929C4×C43—21no—
930C4×C43—21no—
931C4×C43—41no—
932C4×C43—41no—
933C4×C43—41no—
934C4×C43—41no—
935C4×C43C2×H(5,𝔽2)11yescharacteristic
936C4×C43C2×H(5,𝔽2)11yescharacteristic
937Dic43—21no—
938Dic43—21no—
939Dic43—21no—
940Dic43—21no—
941Dic43—21no—
942Dic43—41no—
943Dic43—41no—
944Dic43—41no—
945Dic43—41no—
946Dic43—41no—
947Dic43#53512yes—
948#3495—431no—
949C2×#535—431no—
950#3224—431no—
951#3224—431no—
952#3224—431no—
953#3224D4311yescharacteristic, complemented
954#3222—431no—
955#3222—431no—
956#3222—431no—
957#3222—431no—
958#3217—431no—
959#3217—431no—
960#3215—431no—
961#3215—431no—
962#3211—431no—
963#3211—431no—
964#3208—431no—
965#3208—431no—
966#3154—431no—
967#3154—431no—
968#3136—431no—
969#3136—431no—
970#3045—431no—
971#3045—431no—
972#3043—431no—
973#3043—431no—
974#3007—431no—
975#3003—431no—
976#3002—431no—
977C2×#450—431no—
978#2924—431no—
979C2×C43—41no—
980C2×C43—81no—
981C2×C43—81no—
982C2×C43—81no—
983C2×C43—81no—
984C2×C43C2×#53511yescharacteristic
985C2×C43C2×#57711yescharacteristic
986C2×C43#358511yescharacteristic
987D43—22no—
988D43—22no—
989D43—81no—
990D43—81no—
991D43—81no—
992C22×#41—431no—
993C23×D4—431no—
994C2×#137—431no—
995C2×#137—431no—
996C2×AGL(1,ℤ/8)—431no—
997C2×AGL(1,ℤ/8)—431no—
998C2×#135—431no—
999C2×#135—431no—
1000C22×SD16—431no—
1001C22×SD16—431no—
1002#556—861no—
1003#554—861no—
1004#552—861no—
1005#552—861no—
1006#552—861no—
1007#552—861no—
1008#551—861no—
1009#551—861no—
1010#544—431no—
1011#542—431no—
1012#542C2×D4311yescharacteristic, complemented
1013#541—431no—
1014#541—431no—
1015#536—431no—
1016#535—431no—
1017#535—431no—
1018#535—431no—
1019#535—431no—
1020#535—431no—
1021#535—431no—
1022#535—431no—
1023#535—861no—
1024#535—861no—
1025#535—861no—
1026#535—861no—
1027#535C2×D4311yescharacteristic
1028#533—431no—
1029#533—431no—
1030C2×#127—431no—
1031C2×#127—431no—
1032#529—431no—
1033#529—431no—
1034C2×#124—431no—
1035C2×#124—431no—
1036#525—431no—
1037C2×C22⋊Q8—431no—
1038C2×#121—861no—
1039C2×#121—861no—
1040C2×#120—861no—
1041C2×#120—861no—
1042#520—431no—
1043#519—431no—
1044C2×#117—431no—
1045#497—431no—
1046#497—431no—
1047#497—431no—
1048#497—431no—
1049#496—431no—
1050#496—431no—
1051#496—431no—
1052#496C2×D4311yescharacteristic, complemented
1053#495—431no—
1054#495—431no—
1055#495—431no—
1056#495C2×D4311yescharacteristic, complemented
1057#492—431no—
1058#492—431no—
1059#492—431no—
1060#492—431no—
1061#490—431no—
1062#490—431no—
1063#490—431no—
1064#490—431no—
1065#489—431no—
1066#489—431no—
1067#489—431no—
1068#489C2×D4311yescharacteristic, complemented
1069#488—431no—
1070#488—431no—
1071#488—431no—
1072#488—431no—
1073#486—431no—
1074#486—431no—
1075#486—431no—
1076#486C2×D4311yescharacteristic, complemented
1077#464—431no—
1078#464—431no—
1079#464—431no—
1080#464—431no—
1081#464—431no—
1082#464—431no—
1083#464—431no—
1084#464—431no—
1085#464—431no—
1086#464—431no—
1087#464—431no—
1088#464C2×D4311yescharacteristic, complemented
1089#463—431no—
1090#463—431no—
1091#463—431no—
1092#463C2×D4311yescharacteristic, complemented
1093#460—431no—
1094#460—431no—
1095#460—431no—
1096#460—431no—
1097#460—431no—
1098#460—431no—
1099#460—431no—
1100#460—431no—
1101#460—431no—
1102#460—431no—
1103#460—431no—
1104#460C2×D4311yescharacteristic, complemented
1105#459—431no—
1106#459—431no—
1107#459—431no—
1108#459C2×D4311yescharacteristic, complemented
1109#452—431no—
1110#452—431no—
1111#452—431no—
1112#452—431no—
1113#452—431no—
1114#452C2×D4311yescharacteristic, complemented
1115#451—431no—
1116#451—431no—
1117#451—431no—
1118#450—431no—
1119#450—431no—
1120#450—431no—
1121#450—431no—
1122#450—431no—
1123#450—431no—
1124#450—431no—
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#449C2×D4311yescharacteristic, complemented
1135#448—431no—
1136#447—431no—
1137#447—431no—
1138#447—431no—
1139#447—431no—
1140#447C2×D4311yescharacteristic, complemented
1141#433—431no—
1142#433—431no—
1143#433—431no—
1144#433C2×D4311yescharacteristic, complemented
1145#432—431no—
1146#432—431no—
1147#431—431no—
1148#431—431no—
1149#424—431no—
1150#424—431no—
1151#418—431no—
1152#418—431no—
1153#417—431no—
1154#417—431no—
1155#416—431no—
1156#416—431no—
1157C2×#102—431no—
1158C2×#102—431no—
1159#407—431no—
1160C2×C22⋊C8—431no—
1161#405—431no—
1162#405—431no—
1163C43#6081211yescharacteristic, complemented, Sylow
1164C25—861no—
1165C2×#41—431no—
1166C2×#41—431no—
1167C2×#41—431no—
1168C2×#41—431no—
1169C2×#41—861no—
1170C2×#41—861no—
1171C2×#41—1722no—
1172C2×#41—1722no—
1173C2×#41C22×D4311yescharacteristic
1174C22×Q8—431no—
1175C22×Q8—431no—
1176C22×D4—431no—
1177C22×D4—431no—
1178C22×D4—431no—
1179C22×D4—431no—
1180C22×D4—431no—
1181C22×D4—431no—
1182C22×D4—861no—
1183C22×D4—861no—
1184C22×D4—861no—
1185C22×D4—861no—
1186C22×D4—861no—
1187C22×D4—861no—
1188C22×D4—861no—
1189C22×D4—861no—
1190C22×D4—1722no—
1191C22×D4—1722no—
1192C22×D4C22×D4311yescharacteristic
1193C23×C4—431no—
1194C23×C4—861no—
1195#137—1722no—
1196#137—1722no—
1197AGL(1,ℤ/8)—1722no—
1198AGL(1,ℤ/8)—1722no—
1199#135—1722no—
1200#135—1722no—
1201C2×Q16—431no—
1202C2×Q16—431no—
1203C2×Q16—431no—
1204C2×Q16—431no—
1205C2×Q16—431no—
1206C2×Q16C22×D4311yescharacteristic, complemented
1207C2×SD16—431no—
1208C2×SD16—431no—
1209C2×SD16—431no—
1210C2×SD16—431no—
1211C2×SD16—431no—
1212C2×SD16—431no—
1213C2×SD16—431no—
1214C2×SD16—431no—
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—1722no—
1224C2×SD16—1722no—
1225C2×SD16C22×D4311yescharacteristic
1226C2×SD16C22×D4311yescharacteristic
1227C2×SD16C22×D4311yescharacteristic, complemented
1228C2×SD16C22×D4311yescharacteristic, complemented
1229C2×D8—431no—
1230C2×D8—431no—
1231C2×D8—431no—
1232C2×D8C22×D4311yescharacteristic
1233C2×D8C22×D4311yescharacteristic
1234C2×D8C22×D4311yescharacteristic, complemented
1235C2×M16—431no—
1236C2×M16—431no—
1237C22×C8—431no—
1238C22×C8—431no—
1239C4⋊Q8—431no—
1240C4⋊Q8—431no—
1241C4⋊Q8—431no—
1242C4⋊Q8—861no—
1243C4⋊Q8C22×D4311yescharacteristic, complemented
1244#127—431no—
1245#127—431no—
1246#127—431no—
1247#127—431no—
1248#127—431no—
1249#127—431no—
1250#127—861no—
1251#127—861no—
1252#127—861no—
1253#127—861no—
1254#127C22×D4311yescharacteristic
1255#127C22×D4311yescharacteristic
1256#126—21no—
1257#126—861no—
1258#126—861no—
1259#126—861no—
1260#126—861no—
1261#126—861no—
1262#126—861no—
1263#126—861no—
1264#125—431no—
1265#125—431no—
1266#125—861no—
1267#125—861no—
1268#125—861no—
1269#125—861no—
1270#125—861no—
1271#125—861no—
1272#125—861no—
1273#124—21no—
1274#124—431no—
1275#124—431no—
1276#124—431no—
1277#124—431no—
1278#124—431no—
1279#124—431no—
1280#124—431no—
1281#124—861no—
1282#124—861no—
1283#124—861no—
1284#124—861no—
1285#124—861no—
1286#124C22×D4311yescharacteristic
1287#124C22×D4311yescharacteristic
1288#124C22×D4311yescharacteristic, complemented
1289#123—21no—
1290#123—861no—
1291#123—861no—
1292#123—861no—
1293#123—861no—
1294#123—861no—
1295#123—861no—
1296C22⋊Q8—21no—
1297C22⋊Q8—431no—
1298C22⋊Q8—431no—
1299C22⋊Q8—431no—
1300C22⋊Q8—431no—
1301C22⋊Q8—431no—
1302C22⋊Q8—861no—
1303C22⋊Q8—861no—
1304C22⋊Q8—861no—
1305C22⋊Q8—861no—
1306C22⋊Q8—861no—
1307C22⋊Q8—861no—
1308C22⋊Q8—861no—
1309C22⋊Q8—861no—
1310C22⋊Q8—861no—
1311C22⋊Q8C22×D4311yescharacteristic
1312#121—21no—
1313#121—21no—
1314#121—431no—
1315#121—861no—
1316#121—861no—
1317#121—861no—
1318#121—861no—
1319#121—861no—
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#121C22×D4311yescharacteristic
1330#120—21no—
1331#120—21no—
1332#120—861no—
1333#120—861no—
1334#120—861no—
1335#120—861no—
1336#120—861no—
1337#120—861no—
1338#120—861no—
1339#120—861no—
1340#120—861no—
1341#120—861no—
1342#120—861no—
1343#120—861no—
1344#120—861no—
1345#120—861no—
1346#120—861no—
1347C4×Q8—431no—
1348C4×Q8—431no—
1349C4×Q8—431no—
1350C4×Q8—431no—
1351C4×Q8—431no—
1352C4×Q8—861no—
1353C4×Q8—861no—
1354C4×Q8—861no—
1355C4×Q8—861no—
1356C4×Q8C22×D4311yescharacteristic, complemented
1357C4×D4—431no—
1358C4×D4—861no—
1359C4×D4—861no—
1360C4×D4—861no—
1361C4×D4—861no—
1362C4×D4—861no—
1363C4×D4—861no—
1364C4×D4C22×D4311yescharacteristic, complemented
1365#117—431no—
1366#117—431no—
1367#117—431no—
1368#117—431no—
1369#117—431no—
1370#117—431no—
1371#117—431no—
1372#117—431no—
1373#117—861no—
1374#117—861no—
1375#117—861no—
1376#117—861no—
1377#117—861no—
1378#117—861no—
1379#117—861no—
1380#117C22×D4311yescharacteristic
1381C2×C4⋊C4—431no—
1382C2×C4⋊C4—431no—
1383C2×C4⋊C4—431no—
1384C2×C4⋊C4—861no—
1385C2×C4⋊C4—861no—
1386C2×C22⋊C4—431no—
1387C2×C22⋊C4—431no—
1388C2×C22⋊C4—861no—
1389C2×C22⋊C4—861no—
1390C2×C22⋊C4—861no—
1391C2×C22⋊C4—861no—
1392C2×C22⋊C4—861no—
1393C2×C42—431no—
1394C2×C42—431no—
1395C4⋊C8—431no—
1396C4⋊C8—431no—
1397C4⋊C8—431no—
1398C4⋊C8—431no—
1399C4⋊C8—431no—
1400C4⋊C8—431no—
1401C4⋊C8C22×D4311yescharacteristic, complemented
1402C4⋊C8C22×D4311yescharacteristic, complemented
1403#103—431no—
1404#103—431no—
1405#103—431no—
1406#103—431no—
1407#103—431no—
1408#103—431no—
1409#103C22×D4311yescharacteristic, complemented
1410#103C22×D4311yescharacteristic, complemented
1411#102—431no—
1412#102—431no—
1413#102—431no—
1414#102—431no—
1415#102—431no—
1416#102—431no—
1417#102—431no—
1418#102—431no—
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#102C22×D4311yescharacteristic
1430#102C22×D4311yescharacteristic
1431#102C22×D4311yescharacteristic
1432#102C22×D4311yescharacteristic
1433#102C22×D4311yescharacteristic, complemented
1434#102C22×D4311yescharacteristic, complemented
1435C22⋊C8—431no—
1436C22⋊C8—431no—
1437C22⋊C8—431no—
1438C22⋊C8—431no—
1439C22⋊C8—431no—
1440C22⋊C8—431no—
1441C22⋊C8C22×D4311yescharacteristic
1442C22⋊C8C22×D4311yescharacteristic
1443#97—431no—
1444#97—431no—
1445#97—431no—
1446#97C22×D4311yescharacteristic, complemented
1447C4×C8—431no—
1448C4×C8—431no—
1449C4×C8—431no—
1450C4×C8C22×D4311yescharacteristic, complemented
1451C24—21no—
1452C24—431no—
1453C24—861no—
1454C24—861no—
1455C24—861no—
1456C24—861no—
1457C24—861no—
1458C24—861no—
1459C24—3442no—
1460C24—3442no—
1461C24—1724no—
1462#41—41no—
1463#41—41no—
1464#41—862no—
1465#41—862no—
1466#41—862no—
1467#41—862no—
1468#41—862no—
1469#41—862no—
1470#41—1721no—
1471#41—1721no—
1472#41—1724no—
1473#41—1724no—
1474C2×Q8—21no—
1475C2×Q8—431no—
1476C2×Q8—431no—
1477C2×Q8—431no—
1478C2×Q8—861no—
1479C2×Q8—861no—
1480C2×Q8—861no—
1481C2×Q8—862no—
1482C2×Q8—862no—
1483C2×Q8—1721no—
1484C2×Q8—1721no—
1485C2×Q8C23×D4311yescharacteristic
1486C2×Q8C23×D4311yescharacteristic
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—41no—
1495C2×D4—41no—
1496C2×D4—431no—
1497C2×D4—431no—
1498C2×D4—431no—
1499C2×D4—861no—
1500C2×D4—862no—
1501C2×D4—862no—
1502C2×D4—862no—
1503C2×D4—862no—
1504C2×D4—861no—
1505C2×D4—861no—
1506C2×D4—861no—
1507C2×D4—861no—
1508C2×D4—861no—
1509C2×D4—861no—
1510C2×D4—861no—
1511C2×D4—861no—
1512C2×D4—861no—
1513C2×D4—861no—
1514C2×D4—861no—
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—3442no—
1527C2×D4—3442no—
1528C2×D4—3442no—
1529C2×D4—3442no—
1530C2×D4—1721no—
1531C2×D4—1721no—
1532C2×D4—1721no—
1533C2×D4—1721no—
1534C2×D4—1721no—
1535C2×D4—1721no—
1536C2×D4—1721no—
1537C2×D4—1721no—
1538C2×D4—1724no—
1539C2×D4—1724no—
1540C2×D4—1724no—
1541C2×D4—1724no—
1542C2×D4C23×D4311yescharacteristic
1543C2×D4C23×D4311yescharacteristic
1544C2×D4C23×D4311yescharacteristic
1545C2×D4C23×D4311yescharacteristic
1546C22×C4—21no—
1547C22×C4—21no—
1548C22×C4—431no—
1549C22×C4—431no—
1550C22×C4—431no—
1551C22×C4—431no—
1552C22×C4—431no—
1553C22×C4—431no—
1554C22×C4—431no—
1555C22×C4—431no—
1556C22×C4—431no—
1557C22×C4—862no—
1558C22×C4—862no—
1559C22×C4—861no—
1560C22×C4—861no—
1561C22×C4—861no—
1562C22×C4—861no—
1563C22×C4—861no—
1564C22×C4—861no—
1565C22×C4—861no—
1566C22×C4—861no—
1567C22×C4—1724no—
1568C22×C4C23×D4311yescharacteristic
1569Q16—41no—
1570Q16—1721no—
1571Q16—1721no—
1572Q16—1721no—
1573Q16—1721no—
1574Q16—1721no—
1575SD16—41no—
1576SD16—41no—
1577SD16—41no—
1578SD16—41no—
1579SD16—1721no—
1580SD16—1721no—
1581SD16—1721no—
1582SD16—1721no—
1583SD16—1721no—
1584SD16—1721no—
1585SD16—1721no—
1586SD16—1721no—
1587SD16—1721no—
1588SD16—1721no—
1589SD16—1721no—
1590SD16—1721no—
1591SD16—1721no—
1592SD16—1721no—
1593SD16—1721no—
1594SD16—1721no—
1595D8—41no—
1596D8—41no—
1597D8—41no—
1598D8—1721no—
1599D8—1721no—
1600D8—1721no—
1601M16—862no—
1602M16—862no—
1603C2×C8—431no—
1604C2×C8—431no—
1605C2×C8—431no—
1606C2×C8—431no—
1607C2×C8—862no—
1608C2×C8—862no—
1609C2×C8C23×D4311yescharacteristic
1610C2×C8C23×D4311yescharacteristic
1611C2×C8C23×D4311yescharacteristic
1612C2×C8C23×D4311yescharacteristic
1613C4⋊C4—21no—
1614C4⋊C4—21no—
1615C4⋊C4—21no—
1616C4⋊C4—431no—
1617C4⋊C4—431no—
1618C4⋊C4—431no—
1619C4⋊C4—431no—
1620C4⋊C4—431no—
1621C4⋊C4—431no—
1622C4⋊C4—431no—
1623C4⋊C4—431no—
1624C4⋊C4—861no—
1625C4⋊C4—861no—
1626C4⋊C4—861no—
1627C4⋊C4—861no—
1628C4⋊C4—861no—
1629C4⋊C4—861no—
1630C4⋊C4—861no—
1631C4⋊C4—861no—
1632C4⋊C4—861no—
1633C4⋊C4—861no—
1634C4⋊C4—861no—
1635C4⋊C4—861no—
1636C4⋊C4—861no—
1637C4⋊C4—861no—
1638C4⋊C4—861no—
1639C4⋊C4—861no—
1640C4⋊C4—861no—
1641C4⋊C4—861no—
1642C4⋊C4—861no—
1643C4⋊C4—861no—
1644C4⋊C4D4×D4311yescharacteristic
1645C4⋊C4D4×D4311yescharacteristic
1646C4⋊C4C23×D4311yescharacteristic
1647C4⋊C4C23×D4311yescharacteristic
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—21no—
1656C22⋊C4—21no—
1657C22⋊C4—431no—
1658C22⋊C4—431no—
1659C22⋊C4—431no—
1660C22⋊C4—431no—
1661C22⋊C4—431no—
1662C22⋊C4—431no—
1663C22⋊C4—861no—
1664C22⋊C4—861no—
1665C22⋊C4—861no—
1666C22⋊C4—861no—
1667C22⋊C4—861no—
1668C22⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1686C22⋊C4D4×D4311yescharacteristic
1687C42—21no—
1688C42—431no—
1689C42—431no—
1690C42—431no—
1691C42—431no—
1692C42—431no—
1693C42—431no—
1694C42—861no—
1695C42—861no—
1696C42—861no—
1697C42—861no—
1698C42—861no—
1699C42—861no—
1700C42C23×D4311yescharacteristic
1701C42C23×D4311yescharacteristic
1702C23—21no—
1703C23—21no—
1704C23—21no—
1705C23—21no—
1706C23—42no—
1707C23—81no—
1708C23—81no—
1709C23—431no—
1710C23—431no—
1711C23—862no—
1712C23—862no—
1713C23—861no—
1714C23—861no—
1715C23—861no—
1716C23—3441no—
1717C23—3441no—
1718C23—3441no—
1719C23—3441no—
1720C23—3441no—
1721C23—3441no—
1722C23—34416no—
1723C23—1721no—
1724C23—1722no—
1725C23—1722no—
1726C23—1722no—
1727C23—1722no—
1728C23—1722no—
1729C23—1722no—
1730C23—1722no—
1731C23—1722no—
1732C23—1722no—
1733C23—1722no—
1734C23—1722no—
1735C23—1722no—
1736C23C2×D4×D4311yescharacteristic
1737Q8—21no—
1738Q8—21no—
1739Q8—21no—
1740Q8—21no—
1741Q8—81no—
1742Q8—861no—
1743Q8—861no—
1744Q8—861no—
1745Q8—861no—
1746Q8—861no—
1747Q8—861no—
1748Q8—3441no—
1749Q8—1722no—
1750Q8—1722no—
1751D4—21no—
1752D4—21no—
1753D4—21no—
1754D4—21no—
1755D4—21no—
1756D4—21no—
1757D4—21no—
1758D4—21no—
1759D4—42no—
1760D4—42no—
1761D4—81no—
1762D4—81no—
1763D4—81no—
1764D4—81no—
1765D4—81no—
1766D4—861no—
1767D4—861no—
1768D4—861no—
1769D4—861no—
1770D4—861no—
1771D4—861no—
1772D4—3441no—
1773D4—3441no—
1774D4—3441no—
1775D4—3441no—
1776D4—3441no—
1777D4—3441no—
1778D4—3441no—
1779D4—3441no—
1780D4—3441no—
1781D4—3441no—
1782D4—3441no—
1783D4—3441no—
1784D4—1722no—
1785D4—1722no—
1786D4—1722no—
1787D4—1722no—
1788D4—1722no—
1789D4—1722no—
1790D4—1722no—
1791D4—1722no—
1792D4—1722no—
1793D4—1722no—
1794D4—1722no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—42no—
1802C2×C4—81no—
1803C2×C4—431no—
1804C2×C4—432no—
1805C2×C4—432no—
1806C2×C4—431no—
1807C2×C4—431no—
1808C2×C4—431no—
1809C2×C4—431no—
1810C2×C4—431no—
1811C2×C4—862no—
1812C2×C4—862no—
1813C2×C4—862no—
1814C2×C4—862no—
1815C2×C4—862no—
1816C2×C4—861no—
1817C2×C4—861no—
1818C2×C4—861no—
1819C2×C4—861no—
1820C2×C4—861no—
1821C2×C4—861no—
1822C2×C4—861no—
1823C2×C4—3441no—
1824C2×C4—3441no—
1825C2×C4—1721no—
1826C2×C4—1721no—
1827C2×C4—1722no—
1828C2×C4—1722no—
1829C2×C4—1722no—
1830C2×C4—1722no—
1831C2×C4—1722no—
1832C2×C4—1722no—
1833C2×C4C2×D4×D4311yescharacteristic
1834C2×C4C2×D4×D4311yescharacteristic
1835C2×C4C2×D4×D4311yescharacteristic
1836C2×C4C2×D4×D4311yescharacteristic
1837C2×C4C2×D4×D4311yescharacteristic
1838C2×C4C24×D4311yescharacteristic
1839C8—21no—
1840C8—21no—
1841C8—21no—
1842C8—21no—
1843C8—861no—
1844C8—861no—
1845C8—861no—
1846C8—861no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—84no—
1863C22—432no—
1864C22—432no—
1865C22—861no—
1866C22—861no—
1867C22—861no—
1868C22—861no—
1869C22—3444no—
1870C22—3444no—
1871C22—3444no—
1872C22—3444no—
1873C22—3444no—
1874C22—3444no—
1875C22—1724no—
1876C22—1721no—
1877C22—1721no—
1878C22—1721no—
1879C22—1721no—
1880C22—1721no—
1881C22—1721no—
1882C22—1721no—
1883C22—1721no—
1884C22—1721no—
1885C22C22×D4×D4311yescharacteristic
1886C4—21no—
1887C4—21no—
1888C4—21no—
1889C4—21no—
1890C4—21no—
1891C4—41no—
1892C4—41no—
1893C4—41no—
1894C4—41no—
1895C4—432no—
1896C4—861no—
1897C4—861no—
1898C4—861no—
1899C4—861no—
1900C4—861no—
1901C4—1721no—
1902C4—1721no—
1903C4—1721no—
1904C4—1721no—
1905C4—1721no—
1906C4H(5,𝔽2)×D4311yescharacteristic
1907C4H(5,𝔽2)×D4311yescharacteristic
1908C2—41no—
1909C2—81no—
1910C2—81no—
1911C2—81no—
1912C2—81no—
1913C2—862no—
1914C2—862no—
1915C2—3441no—
1916C2—3441no—
1917C2—3441no—
1918C2#535×D4311yescharacteristic
1919C2#577×D4311yescharacteristic
1920C2#1914937011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3224C2
socleC22×C43C23×D4
hypercenter#3224D43
hypocenterC43#60812
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. #19148345C2semidirect
2. #535×D43C2semidirect
3. #19145687C2semidirect
4. #19145685C2semidirect
5. #19145683C2semidirect
6. #19145669C2semidirect
7. #19145667C2semidirect
8. #19145665C2semidirect
9. #19145663C2semidirect
10. #19145612C2semidirect
11. #19145609C2semidirect
12. #19145599C2semidirect
13. #19145596C2semidirect
14. #19145558C2semidirect
15. #19145555C2semidirect
16. #19145537C2semidirect
17. #19145535C2semidirect
18. #19145068C2semidirect
19. #19145066C2semidirect
20. #19144946C2semidirect
21. #19144944C2semidirect
22. #19144135C2semidirect
23. #19144129C2semidirect
24. #19144114C2semidirect
25. #19144111C2semidirect
26. #19143852C2semidirect
27. #19143819C2semidirect
28. #19143810C2semidirect
29. #450×D43C2semidirect
30. #19143251C2semidirect
31. C43×#3224C2semidirect
34. C2×#13063357C22semidirect
35. C2×#13063354C22semidirect
36. C2×#13063349C22semidirect
37. C2×#13063349C22semidirect
38. C2×#13063346C22semidirect
39. C2×#13063344C22semidirect
40. C2×SD16×D43C22semidirect
41. C2×SD16×D43C22semidirect
50. #14583526C22semidirect
51. #14583516C22semidirect
52. #14583511C22semidirect
53. #14583509C22semidirect
54. #14583469C22semidirect
66. #14583454C22semidirect
67. #14583453C22semidirect
70. #14583431C22semidirect
71. #14583428C22semidirect
80. #14583378C22semidirect
81. #14583375C22semidirect
83. #14583294C22semidirect
84. #14583293C22semidirect
85. #14583292C22semidirect
86. #14583290C22semidirect
87. #14583289C22semidirect
88. #14583287C22semidirect
89. #14583287C22semidirect
90. #14583282C22semidirect
91. #14583281C22semidirect
92. #14583280C22semidirect
93. #14583272C22semidirect
94. #14583271C22semidirect
95. #14583270C22semidirect
96. #14583270C22semidirect
97. #14583264C22semidirect
98. #14583263C22semidirect
99. #14583262C22semidirect
100. #14583262C22semidirect
101. #14583261C22semidirect
102. #14583260C22semidirect
103. #14583257C22semidirect
104. #14583255C22semidirect
105. #14583254C22semidirect
106. #14583253C22semidirect
107. #14583252C22semidirect
108. #14583247C22semidirect
109. #14583244C22semidirect
110. #14583244C22semidirect
111. #14583124C22semidirect
112. #14583124C22semidirect
113. #14583123C22semidirect
114. #14583122C22semidirect
115. #14583122C22semidirect
116. #14583121C22semidirect
117. #14583120C22semidirect
118. #14583120C22semidirect
119. #14583119C22semidirect
120. #14583118C22semidirect
121. #14583118C22semidirect
122. #14583116C22semidirect
123. #14583114C22semidirect
124. #14583112C22semidirect
125. #14583100C22semidirect
126. #14583100C22semidirect
127. #14583099C22semidirect
128. #14583098C22semidirect
129. #14583098C22semidirect
130. #14583098C22semidirect
131. #14583098C22semidirect
132. #14583097C22semidirect
133. #14583097C22semidirect
134. #14583096C22semidirect
135. #14583096C22semidirect
136. #14583094C22semidirect
137. #14583092C22semidirect
138. #14583092C22semidirect
139. #14583063C22semidirect
140. #14583063C22semidirect
141. #14583061C22semidirect
142. #14583061C22semidirect
143. #14583059C22semidirect
144. #14583056C22semidirect
145. #14583056C22semidirect
146. #14583053C22semidirect
147. #14583052C22semidirect
148. #14583052C22semidirect
153. #14583051C22semidirect
154. #14583051C22semidirect
155. #14583050C22semidirect
156. #14583050C22semidirect
157. #14583049C22semidirect
160. #14583048C22semidirect
161. #14583042C22semidirect
162. #14583036C22semidirect
163. #14583032C22semidirect
166. #14583031C22semidirect
167. #14582960C22semidirect
168. #14582957C22semidirect
169. #14582957C22semidirect
170. #14582955C22semidirect
171. #14582954C22semidirect
172. #14582951C22semidirect
173. #14582950C22semidirect
174. #14582924C22semidirect
175. #14582924C22semidirect
176. #14582902C22semidirect
177. #14582902C22semidirect
178. #14582899C22semidirect
179. #14582897C22semidirect
180. #14582894C22semidirect
181. #14582892C22semidirect
182. #102×D43C22semidirect
183. #102×D43C22semidirect
186. #14582856C22semidirect
187. #14582853C22semidirect
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
238. C2×Dic172C23semidirect
239. C2×Dic172C23semidirect
240. C2×#10621885C23semidirect
241. C2×#10621885C23semidirect
242. C2×#10621885C23semidirect
247. C2×#10621873C23semidirect
248. C2×#10621873C23semidirect
253. C2×#10621883C23semidirect
254. C2×#10621883C23semidirect
255. C2×#10621883C23semidirect
258. C2×#10621884C23semidirect
263. C2×#10621882C23semidirect
268. #13063325C23semidirect
269. #13063324C23semidirect
271. #13063323C23semidirect
289. #13063317C23semidirect
292. #13063316C23semidirect
305. #13063312C23semidirect
361. Q8×Dic43C23semidirect
364. C4×Dic86C23semidirect
365. C4×Dic86C23semidirect
367. #13063290C23semidirect
368. #13063290C23semidirect
370. D4×Dic43C23semidirect
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
953. #3224D43semidirect
1012. #542C2×D43semidirect
1052. #496C2×D43semidirect
1056. #495C2×D43semidirect
1068. #489C2×D43semidirect
1076. #486C2×D43semidirect
1088. #464C2×D43semidirect
1092. #463C2×D43semidirect
1104. #460C2×D43semidirect
1108. #459C2×D43semidirect
1114. #452C2×D43semidirect
1132. #450C2×D43semidirect
1134. #449C2×D43semidirect
1140. #447C2×D43semidirect
1144. #433C2×D43semidirect
1163. C43#60812semidirect
1206. C2×Q16C22×D43semidirect
1227. C2×SD16C22×D43semidirect
1228. C2×SD16C22×D43semidirect
1234. C2×D8C22×D43semidirect
1243. C4⋊Q8C22×D43semidirect
1288. #124C22×D43semidirect
1356. C4×Q8C22×D43semidirect
1364. C4×D4C22×D43semidirect
1401. C4⋊C8C22×D43semidirect
1402. C4⋊C8C22×D43semidirect
1409. #103C22×D43semidirect
1410. #103C22×D43semidirect
1433. #102C22×D43semidirect
1434. #102C22×D43semidirect
1446. #97C22×D43semidirect
1450. C4×C8C22×D43semidirect

Maximal subgroups

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

subgroupindex
#191483452
#535×D432
#191456872
#191456852
#191456832
#191456692
#191456672
#191456652
#191456632
#191456122
#191456092
#191455992
#191455962
#191455582
#191455552
#191455372
#191455352
#191450682
#191450662
#191449462
#191449442
#191441352
#191441292
#191441142
#191441112
#191438522
#191438192
#191438102
#450×D432
#191432512
C43×#32242
#6081243