Finite Group Databasebeta

← #25977926

Subgroups — #25977926

Order 11008.

1964 conjugacy classes of subgroups.

The subgroup lattice has 1798 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148468C211yesmaximal, characteristic, complemented
2#19148456C211yesmaximal, characteristic, complemented
3#19147664C211yesmaximal, characteristic, complemented
4#19147662C211yesmaximal, characteristic, complemented
5#19147655C211yesmaximal, characteristic, complemented
6#19147651C211yesmaximal, characteristic, complemented
7#19147645C211yesmaximal, characteristic, complemented
8#19147638C211yesmaximal, characteristic, complemented
9#19147632C211yesmaximal, characteristic, complemented
10#19147617C211yesmaximal, characteristic, complemented
11#19147615C211yesmaximal, characteristic, complemented
12#19147612C211yesmaximal, characteristic, complemented
13#19147610C211yesmaximal, characteristic, complemented
14#19147604C211yesmaximal, characteristic, complemented
15#19147602C211yesmaximal, characteristic, complemented
16#19147574C211yesmaximal, characteristic, complemented
17#19147571C211yesmaximal, characteristic, complemented
18#19145070C211yesmaximal, characteristic, complemented
19#19145066C211yesmaximal, characteristic, complemented
20#19145044C211yesmaximal, characteristic, complemented
21#19144137C211yesmaximal, characteristic, complemented
22#19144135C211yesmaximal, characteristic, complemented
23#19144105C211yesmaximal, characteristic, complemented
24#19144102C211yesmaximal, characteristic, complemented
25#19144049C211yesmaximal, characteristic, complemented
26#460×D43C211yesmaximal, characteristic, complemented
27#19143540C211yesmaximal, characteristic, complemented
28#19143424C211yesmaximal, characteristic, complemented
29#19143422C211yesmaximal, characteristic, complemented
30#19143411C211yesmaximal, characteristic, complemented
31C43×#3401C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic
33C2×#13063352C2211yescharacteristic
34C2×#13063352C2211yescharacteristic
35C2×#13063349C2211yescharacteristic
36C2×#13063349C2211yescharacteristic
37C2×#13063348C2211yescharacteristic
38C2×#13063346C2211yescharacteristic
39C2×SD16×D43C2211yescharacteristic
40C2×SD16×D43C2211yescharacteristic
41#14583634C2211yescharacteristic
42#14583632C2211yescharacteristic, complemented
43#14583631C2211yescharacteristic
44#14583631C2211yescharacteristic
45#14583631C2211yescharacteristic, complemented
46#14583627C2211yescharacteristic, complemented
47#14583624C2211yescharacteristic, complemented
48#14583622C2211yescharacteristic, complemented
49#14583621C2211yescharacteristic, complemented
50#14583618C2211yescharacteristic, complemented
51#14583616—21no—
52#14583603—21no—
53#14583585—21no—
54#14583582—21no—
55#14583571C2211yescharacteristic
56#14583570C2211yescharacteristic
57#14583570C2211yescharacteristic
58#14583569C2211yescharacteristic
59#14583544—21no—
60#14583542—21no—
61#14583541—21no—
62#14583541—21no—
63#14583501—21no—
64#14583501—21no—
65#14583495—21no—
66#14583490—21no—
67#14583474C2211yescharacteristic
68#14583469C2211yescharacteristic
69#14583467C2211yescharacteristic
70#14583467C2211yescharacteristic
71#14583453C2211yescharacteristic
72#14583448—21no—
73#14583448C2211yescharacteristic
74#14583446—21no—
75#127×D43C2211yescharacteristic
76#14583432—21no—
77#14583427—21no—
78#14583381C2211yescharacteristic
79#14583378C2211yescharacteristic
80#14583371C2211yescharacteristic
81#14583371C2211yescharacteristic
82C4×#10621902C2211yescharacteristic
83C4×Q8×D43C2211yescharacteristic
84#14583294C2211yescharacteristic, complemented
85#14583292C2211yescharacteristic, complemented
86#14583292C2211yescharacteristic, complemented
87#14583289C2211yescharacteristic
88#14583289C2211yescharacteristic, complemented
89#14583288C2211yescharacteristic
90#14583288C2211yescharacteristic, complemented
91#14583287C2211yescharacteristic, complemented
92#14583286C2211yescharacteristic
93#14583285C2211yescharacteristic, complemented
94#14583284C2211yescharacteristic, complemented
95#14583281C2211yescharacteristic, complemented
96#14583280C2211yescharacteristic, complemented
97#14583274C2211yescharacteristic
98#14583274C2211yescharacteristic
99#14583273C2211yescharacteristic, complemented
100#14583272C2211yescharacteristic, complemented
101#14583270C2211yescharacteristic
102#14583270C2211yescharacteristic
103#14583270C2211yescharacteristic, complemented
104#14583270C2211yescharacteristic, complemented
105#14583124C2211yescharacteristic, complemented
106#14583123C2211yescharacteristic, complemented
107#14583121C2211yescharacteristic, complemented
108#14583118C2211yescharacteristic, complemented
109#14583117C2211yescharacteristic, complemented
110#14583117C2211yescharacteristic, complemented
111#14583116C2211yescharacteristic, complemented
112#14583116C2211yescharacteristic, complemented
113#14583115C2211yescharacteristic, complemented
114#14583115C2211yescharacteristic, complemented
115#14583114C2211yescharacteristic, complemented
116#14583113C2211yescharacteristic, complemented
117#14583112C2211yescharacteristic, complemented
118#14583111C2211yescharacteristic, complemented
119#14583111C2211yescharacteristic, complemented
120#14583111C2211yescharacteristic, complemented
121#14583107C2211yescharacteristic, complemented
122#14583105C2211yescharacteristic, complemented
123#14583104C2211yescharacteristic, complemented
124#14583103C2211yescharacteristic, complemented
125#14583103C2211yescharacteristic, complemented
126#14583103C2211yescharacteristic, complemented
127#14583102C2211yescharacteristic, complemented
128#14583102C2211yescharacteristic, complemented
129#14583101C2211yescharacteristic, complemented
130#14583100C2211yescharacteristic
131#14583100C2211yescharacteristic, complemented
132#14583099C2211yescharacteristic
133#14583099C2211yescharacteristic, complemented
134#14583098C2211yescharacteristic
135#14583098C2211yescharacteristic
136#14583098C2211yescharacteristic, complemented
137#14583097C2211yescharacteristic
138#14583097C2211yescharacteristic
139#14583097C2211yescharacteristic, complemented
140#14583097C2211yescharacteristic, complemented
141#14583096C2211yescharacteristic
142#14583095C2211yescharacteristic, complemented
143#14583094C2211yescharacteristic, complemented
144#14583093C2211yescharacteristic, complemented
145#14583093C2211yescharacteristic, complemented
146#14583092C2211yescharacteristic, complemented
147#14583030C2211yescharacteristic, complemented
148#14583028C2211yescharacteristic, complemented
149#14583028C2211yescharacteristic, complemented
150#14583027C2211yescharacteristic, complemented
151#14583027C2211yescharacteristic, complemented
152C8×Dic86C2211yescharacteristic, complemented
153#14583023C2211yescharacteristic, complemented
154#14583010C2211yescharacteristic, complemented
155#14583009C2211yescharacteristic, complemented
156#14583008C2211yescharacteristic, complemented
157#14583004C2211yescharacteristic, complemented
158#14583001C2211yescharacteristic, complemented
159#14583001C2211yescharacteristic, complemented
160#14583000C2211yescharacteristic, complemented
161#14582997C2211yescharacteristic, complemented
162#14582997C2211yescharacteristic, complemented
163#14582996C2211yescharacteristic, complemented
164Q16×Dic43C2211yescharacteristic, complemented
165#14582991C2211yescharacteristic, complemented
166#14582986C2211yescharacteristic, complemented
167#14582986C2211yescharacteristic, complemented
168C4×#10621883C2211yescharacteristic, complemented
169#14582984C2211yescharacteristic, complemented
170#14582984C2211yescharacteristic, complemented
171C4×D344C2211yescharacteristic, complemented
172D8×Dic43C2211yescharacteristic, complemented
173C4×#10621882C2211yescharacteristic, complemented
174#14582979C2211yescharacteristic, complemented
175#14582938C2211yescharacteristic
176#14582924C2211yescharacteristic
177#14582924C2211yescharacteristic
178C4⋊C8×D43C2211yescharacteristic
179#14582906C2211yescharacteristic
180#14582899C2211yescharacteristic
181#14582894C2211yescharacteristic
182#14582892C2211yescharacteristic
183#102×D43C2211yescharacteristic
184#102×D43C2211yescharacteristic
185#14582856C2211yescharacteristic
186#14582853C2211yescharacteristic
187#14582851C2211yescharacteristic
188C43×#559C2211yescharacteristic
189C43×#556C2211yescharacteristic, complemented
190C43×#497C2211yescharacteristic, complemented
191C43×#496C2211yescharacteristic
192C43×#495C2211yescharacteristic, complemented
193C43×#464C2211yescharacteristic, complemented
194C43×#464C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic, complemented
196C43×#463C2211yescharacteristic, complemented
197C43×#461C2211yescharacteristic, complemented
198C43×#460C2211yescharacteristic
199C43×#446C2211yescharacteristic, complemented
200C43×#442C2211yescharacteristic, complemented
201C43×#441C2211yescharacteristic, complemented
202C4×SD16×C43C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621902C2311yescharacteristic
205C2×#10621902C2311yescharacteristic
206C2×#10621898—21no—
207C2×#10621898—21no—
208C2×#10621900—21no—
209C2×#10621900C2311yescharacteristic
210C2×Q8×D43C2311yescharacteristic
211C2×D4×D43—21no—
212C2×D4×D43—21no—
213C2×D4×D43C2311yescharacteristic
214C2×D4×D43C2311yescharacteristic
215#13063357—24no—
216#13063352—24no—
217#13063352—42no—
218#13063349—24no—
219#13063349—42no—
220#13063348—42no—
221#13063346—42no—
222C2×#10621885C2311yescharacteristic
223C2×#10621885C2311yescharacteristic
224C2×#10621873C2311yescharacteristic
225C2×#10621873C2311yescharacteristic
226C2×#10621873C2311yescharacteristic
227C2×#10621873C2311yescharacteristic
228C2×#10621873C2311yescharacteristic
229C2×#10621873C2311yescharacteristic
230C2×#10621883C2311yescharacteristic
231C2×#10621883C2311yescharacteristic
232C2×#10621883C2311yescharacteristic
233C2×#10621883C2311yescharacteristic
234C2×#10621884C2311yescharacteristic
235C2×#10621884C2311yescharacteristic
236C2×#10621884C2311yescharacteristic
237C2×#10621884C2311yescharacteristic
238C2×#10621884C2311yescharacteristic
239C2×#10621884C2311yescharacteristic
240C2×#10621884C2311yescharacteristic
241SD16×D43—42no—
242SD16×D43—42no—
243C2×D344C2311yescharacteristic
244C2×D344C2311yescharacteristic
245C2×D344C2311yescharacteristic
246C2×#10621882C2311yescharacteristic
247C2×#10621882C2311yescharacteristic
248C2×#10621882C2311yescharacteristic
249C2×#10621882C2311yescharacteristic
250C2×#10621882C2311yescharacteristic
251C2×#10621872C2311yescharacteristic
252C2×#10621872C2311yescharacteristic
253C2×C8×D43C2311yescharacteristic
254C2×C8×D43C2311yescharacteristic
255#13063325C2311yescharacteristic
256#13063324D411yescharacteristic
257#13063323D411yescharacteristic
258#13063323C2311yescharacteristic
259#13063323C2311yescharacteristic
260#13063323C2311yescharacteristic
261#13063322C2311yescharacteristic
262#13063322C2311yescharacteristic
263#13063322C2311yescharacteristic
264#13063321—21no—
265#13063321—21no—
266#13063321C2311yescharacteristic
267#13063321C2311yescharacteristic
268#13063321C2311yescharacteristic
269#13063321C2311yescharacteristic
270#13063321C2311yescharacteristic
271#13063320—21no—
272#13063320—21no—
273#13063320—21no—
274#13063319—21no—
275#13063318—21no—
276#13063318—21no—
277#13063317—21no—
278#13063316—21no—
279#13063315—21no—
280#13063315—21no—
281#13063315—21no—
282#13063315—21no—
283#13063315D411yescharacteristic
284#13063315D411yescharacteristic
285#13063314C2311yescharacteristic
286#13063314C2311yescharacteristic
287#13063314C2311yescharacteristic
288#13063313—21no—
289#13063313C2311yescharacteristic
290#13063313C2311yescharacteristic
291#13063312C2311yescharacteristic
292#13063311—21no—
293#13063311—21no—
294#13063311—21no—
295#13063311—21no—
296#13063310—21no—
297#13063310—21no—
298#13063310—21no—
299#13063310—21no—
300#13063309—21no—
301#13063309—21no—
302#13063309—21no—
303#13063308—21no—
304#13063307—21no—
305#13063307—21no—
306#13063307—21no—
307#13063307—21no—
308#13063307—21no—
309#13063307—21no—
310#13063305D411yescharacteristic
311#13063303—21no—
312#13063303—21no—
313#13063303—21no—
314#13063303D411yescharacteristic
315#13063303D411yescharacteristic
316#13063302—21no—
317#13063302—21no—
318#13063302—21no—
319#13063301—21no—
320#13063301D411yescharacteristic
321#13063300—21no—
322#13063300—21no—
323#13063300—21no—
324#13063299—21no—
325#13063299—21no—
326#13063298—21no—
327#13063298—21no—
328#13063298—21no—
329#13063298—21no—
330#13063298—21no—
331#13063298—21no—
332#13063298—21no—
333#13063298—21no—
334#13063298—21no—
335#13063298—21no—
336#13063297—21no—
337#13063297—21no—
338#13063296—21no—
339#13063295—21no—
340#13063295—21no—
341#13063295—21no—
342#13063295—21no—
343Q8×Dic43C2311yescharacteristic
344Q8×Dic43C2311yescharacteristic
345Q8×Dic43C2311yescharacteristic
346C4×Dic86—21no—
347C4×Dic86—21no—
348C4×Dic86C2311yescharacteristic
349C4×Dic86C2311yescharacteristic
350C4×Dic86C2311yescharacteristic
351C4×Dic86C2311yescharacteristic
352C4×Dic86C2311yescharacteristic
353#13063290—21no—
354#13063290—21no—
355#13063290C2311yescharacteristic
356#13063290C2311yescharacteristic
357C4×D172—21no—
358C4×D172—21no—
359C4×D172—21no—
360C4×D172C2311yescharacteristic
361C4×D172C2311yescharacteristic
362C4×D172C2311yescharacteristic
363C4×D172C2311yescharacteristic
364D4×Dic43C2311yescharacteristic
365D4×Dic43C2311yescharacteristic
366D4×Dic43C2311yescharacteristic
367#13063287—21no—
368#13063287—21no—
369#13063287C2311yescharacteristic
370#13063287C2311yescharacteristic
371#13063287C2311yescharacteristic
372#13063287C2311yescharacteristic
373C4×C22⋊D43—21no—
374C4×C22⋊D43—21no—
375C4×C22⋊D43—21no—
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(C22⋊D43)⋊C4—21no—
383(C22⋊D43)⋊C4—21no—
384(C22⋊D43)⋊C4—21no—
385#13063283—21no—
386#13063283—21no—
387#13063283C2311yescharacteristic
388#13063282—21no—
389#13063282—21no—
390#13063282C2311yescharacteristic
391#13063282C2311yescharacteristic
392#13063281—21no—
393#13063281—21no—
394C2×Dic43⋊C4—21no—
395C4⋊C4×D43—21no—
396C4⋊C4×D43—21no—
397C4⋊C4×D43C2311yescharacteristic
398C2×(C2×D43)⋊C4—21no—
399C2×(C2×D43)⋊C4—21no—
400C22⋊C4×D43—21no—
401C22⋊C4×D43—21no—
402C42×D43—21no—
403C42×D43—21no—
404C42×D43C2311yescharacteristic
405#13063259C2311yescharacteristic
406#13063258C2311yescharacteristic
407#13063256C2311yescharacteristic
408C4⋊(C43⋊C8)C2311yescharacteristic
409C4⋊(C43⋊C8)C2311yescharacteristic
410C4⋊(C43⋊C8)C2311yescharacteristic
411Dic43⋊C8C2311yescharacteristic
412Dic43⋊C8C2311yescharacteristic
413Dic43⋊C8C2311yescharacteristic
414Dic43⋊C8C2311yescharacteristic
415Dic43⋊C8C2311yescharacteristic
416Dic43⋊C8C2311yescharacteristic
417#13063250C2311yescharacteristic
418#13063250C2311yescharacteristic
419#13063249C2311yescharacteristic
420#13063249C2311yescharacteristic
421#13063249C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063248C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063247C2311yescharacteristic
426#13063247C2311yescharacteristic
427#13063247C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063246C2311yescharacteristic
431#13063245C2311yescharacteristic
432#13063245C2311yescharacteristic
433#13063245C2311yescharacteristic
434#13063245C2311yescharacteristic
435#13063236C2311yescharacteristic
436#13063236C2311yescharacteristic
437#13063235C2311yescharacteristic
438#13063235C2311yescharacteristic
439C4×C43⋊C8C2311yescharacteristic
440C8×Dic43C2311yescharacteristic
441C8×Dic43C2311yescharacteristic
442C8×Dic43C2311yescharacteristic
443C8×Dic43C2311yescharacteristic
444C2×Q16×C43C2311yescharacteristic
445C2×Q16×C43C2311yescharacteristic
446C2×SD16×C43C2311yescharacteristic
447C2×SD16×C43C2311yescharacteristic
448C2×SD16×C43C2311yescharacteristic
449C2×SD16×C43C2311yescharacteristic
450C2×SD16×C43C2311yescharacteristic
451C2×D8×C43C2311yescharacteristic
452C2×D8×C43C2311yescharacteristic
453C4⋊Q8×C43C2311yescharacteristic
454#127×C43C2311yescharacteristic
455#126×C43—21no—
456#126×C43—21no—
457#124×C43—21no—
458#124×C43C2311yescharacteristic
459#124×C43C2311yescharacteristic
460#124×C43C2311yescharacteristic
461#124×C43C2311yescharacteristic
462#123×C43—21no—
463#123×C43—21no—
464C22⋊Q8×C43—21no—
465C4×Q8×C43C2311yescharacteristic
466C4×Q8×C43C2311yescharacteristic
467C4×Q8×C43C2311yescharacteristic
468C4×Q8×C43C2311yescharacteristic
469C4×D4×C43—21no—
470C4×D4×C43C2311yescharacteristic
471C4×D4×C43C2311yescharacteristic
472C4×D4×C43C2311yescharacteristic
473#117×C43—21no—
474#106×C43C2311yescharacteristic
475C4⋊C8×C43C2311yescharacteristic
476C4⋊C8×C43C2311yescharacteristic
477C4⋊C8×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#103×C43C2311yescharacteristic
481#102×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484#97×C43C2311yescharacteristic
485#97×C43C2311yescharacteristic
486C4×C8×C43C2311yescharacteristic
487C23×D43—21no—
488C23×D43—21no—
489C2×Q8×C43C2×D411yescharacteristic
490C2×Q8×C43C2411yescharacteristic
491C2×Q8×C43C2411yescharacteristic
492C2×Q8×C43C2411yescharacteristic
493C2×D4×C43—21no—
494C2×D4×C43—21no—
495C2×D4×C43C2411yescharacteristic
496C2×D4×C43C2411yescharacteristic
497C2×D4×C43C2411yescharacteristic
498C22×C4×C43—21no—
499C22×C4×C43—21no—
500C22×C4×C43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C22×Dic43—21no—
515C22×Dic43—21no—
516C22×Dic43—21no—
517C22×Dic43—21no—
518#10621902—22no—
519#10621902—22no—
520#10621902—22no—
521#10621902—22no—
522#10621902—82no—
523Q8×D43—22no—
524Q8×D43—22no—
525#10621900—22no—
526#10621900—22no—
527#10621900—82no—
528D4×D43—22no—
529D4×D43—22no—
530D4×D43—22no—
531D4×D43—22no—
532D4×D43—82no—
533D4×D43—82no—
534#10621898—82no—
535#10621898—82no—
536C2×D172—21no—
537C2×D172—21no—
538C2×D172—21no—
539C2×D172—21no—
540C2×D172—21no—
541C2×D172—21no—
542C2×D172—21no—
543C2×D172—21no—
544C2×D172C2411yescharacteristic
545C2×D172C2411yescharacteristic
546C2×D172C2411yescharacteristic
547C2×D172C2411yescharacteristic
548C2×C4×D43—21no—
549C2×C4×D43—21no—
550C2×C4×D43—21no—
551C2×C4×D43—21no—
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43—21no—
555C2×C4×D43—21no—
556C2×C4×D43—21no—
557C2×C4×D43—21no—
558C2×C4×D43—21no—
559C2×C4×D43—21no—
560C2×C4×D43C2×D411yescharacteristic
561C2×C4×D43C2×D411yescharacteristic
562C2×C4×D43C2411yescharacteristic
563C2×Dic86—21no—
564C2×Dic86C2×D411yescharacteristic
565C2×Dic86C2×D411yescharacteristic
566C2×Dic86C2×D411yescharacteristic
567C2×Dic86C2411yescharacteristic
568C2×Dic86C2411yescharacteristic
569Q16×C43—22no—
570Q16×C43—41no—
571SD16×C43—22no—
572SD16×C43—41no—
573SD16×C43—41no—
574SD16×C43—41no—
575SD16×C43—41no—
576D8×C43—22no—
577D8×C43—41no—
578C2×C8×C43C2411yescharacteristic
579C2×C8×C43C2411yescharacteristic
580C2×C8×C43C2411yescharacteristic
581C2×C8×C43C2411yescharacteristic
582C4⋊C4×C43—21no—
583C4⋊C4×C43—21no—
584C4⋊C4×C43—21no—
585C4⋊C4×C43—21no—
586C4⋊C4×C43—21no—
587C4⋊C4×C43C2×D411yescharacteristic
588C4⋊C4×C43C2×D411yescharacteristic
589C4⋊C4×C43C2×D411yescharacteristic
590C4⋊C4×C43C2411yescharacteristic
591C4⋊C4×C43C2411yescharacteristic
592C22⋊C4×C43—21no—
593C22⋊C4×C43—21no—
594C22⋊C4×C43—21no—
595C22⋊C4×C43—21no—
596C22⋊C4×C43—21no—
597C22⋊C4×C43—21no—
598C22⋊C4×C43—21no—
599C22⋊C4×C43—21no—
600C22⋊C4×C43—21no—
601C22⋊C4×C43—21no—
602C22⋊C4×C43—21no—
603C42×C43—21no—
604C42×C43—21no—
605C42×C43—21no—
606C42×C43C2411yescharacteristic
607C42×C43C2411yescharacteristic
608C42×C43C2411yescharacteristic
609C22⋊Dic43—21no—
610C22⋊Dic43—21no—
611C22⋊Dic43—21no—
612C22⋊Dic43—21no—
613C22⋊Dic43—21no—
614#10621885—22no—
615#10621885—41no—
616#10621884—22no—
617#10621884—22no—
618#10621884—41no—
619#10621884—41no—
620#10621884—41no—
621#10621884—41no—
622#10621884—41no—
623#10621883—22no—
624#10621883—41no—
625#10621883—41no—
626#10621883—41no—
627#10621882—22no—
628#10621882—22no—
629#10621882—41no—
630#10621882—41no—
631#10621882—41no—
632(C2×D43)⋊C4—21no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4—21no—
635(C2×D43)⋊C4—21no—
636(C2×D43)⋊C4—21no—
637(C2×D43)⋊C4—21no—
638(C2×D43)⋊C4—21no—
639(C2×D43)⋊C4—21no—
640(C2×D43)⋊C4—21no—
641(C2×D43)⋊C4—21no—
642(C2×D43)⋊C4—21no—
643(C2×D43)⋊C4—21no—
644(C2×D43)⋊C4—21no—
645(C2×D43)⋊C4—21no—
646(C2×D43)⋊C4—21no—
647(C2×D43)⋊C4—21no—
648(C2×D43)⋊C4—21no—
649(C2×D43)⋊C4—21no—
650(C2×D43)⋊C4—21no—
651(C2×D43)⋊C4C2×D411yescharacteristic
652(C2×D43)⋊C4C2×D411yescharacteristic
653(C2×D43)⋊C4C2×D411yescharacteristic
654(C2×D43)⋊C4C2×D411yescharacteristic
655C4⋊Dic43—21no—
656C4⋊Dic43—21no—
657C4⋊Dic43—21no—
658C4⋊Dic43—21no—
659C4⋊Dic43—21no—
660C4⋊Dic43C2×D411yescharacteristic
661C4⋊Dic43C2×D411yescharacteristic
662C4⋊Dic43C2×D411yescharacteristic
663C4⋊Dic43C2411yescharacteristic
664C4⋊Dic43C2411yescharacteristic
665Dic43⋊C4—21no—
666Dic43⋊C4—21no—
667Dic43⋊C4—21no—
668Dic43⋊C4—21no—
669Dic43⋊C4—21no—
670Dic43⋊C4—21no—
671Dic43⋊C4—21no—
672Dic43⋊C4—21no—
673Dic43⋊C4—21no—
674Dic43⋊C4—21no—
675Dic43⋊C4—21no—
676Dic43⋊C4C2×D411yescharacteristic
677Dic43⋊C4C2×D411yescharacteristic
678Dic43⋊C4C2×D411yescharacteristic
679Dic43⋊C4C2×D411yescharacteristic
680Dic43⋊C4C2×D411yescharacteristic
681Dic43⋊C4C2×D411yescharacteristic
682Dic43⋊C4C2×D411yescharacteristic
683Dic43⋊C4C2×D411yescharacteristic
684Dic43⋊C4C2×D411yescharacteristic
685Dic43⋊C4C2×D411yescharacteristic
686C4×Dic43—21no—
687C4×Dic43—21no—
688C4×Dic43—21no—
689C4×Dic43—21no—
690C4×Dic43—21no—
691C4×Dic43—21no—
692C4×Dic43—21no—
693C4×Dic43—21no—
694C4×Dic43C2×D411yescharacteristic
695C4×Dic43C2×D411yescharacteristic
696C4×Dic43C2411yescharacteristic
697C4×Dic43C2411yescharacteristic
698C4×Dic43C2411yescharacteristic
699C2×C43⋊C8C2411yescharacteristic
700C2×C43⋊C8C2411yescharacteristic
701C2×C43⋊C8C2411yescharacteristic
702C2×C43⋊C8C2411yescharacteristic
703D344—22no—
704D344—41no—
705D344—41no—
706#10621873—22no—
707#10621873—22no—
708#10621873—41no—
709#10621873—41no—
710#10621873—41no—
711#10621873—41no—
712#10621872—22no—
713#10621872#4114yescomplemented
714C8×D43—22no—
715C8×D43—22no—
716C23×C43—21no—
717C23×C43—21no—
718C23×C43—21no—
719C22×D43—21no—
720C22×D43—21no—
721C22×D43—21no—
722C22×D43—21no—
723C22×D43—42no—
724C22×D43—42no—
725C22×D43—81no—
726C22×D43—81no—
727C22×D43—81no—
728C22×D43—81no—
729C22×D43C22×D411yescharacteristic
730Q8×C43—21no—
731Q8×C43—21no—
732Q8×C43—21no—
733Q8×C43—21no—
734Q8×C43—21no—
735Q8×C43—21no—
736Q8×C43—41no—
737D4×C43—21no—
738D4×C43—21no—
739D4×C43—21no—
740D4×C43—21no—
741D4×C43—21no—
742D4×C43—21no—
743D4×C43—42no—
744D4×C43—81no—
745C2×C4×C43—21no—
746C2×C4×C43—21no—
747C2×C4×C43—21no—
748C2×C4×C43—21no—
749C2×C4×C43—21no—
750C2×C4×C43—81no—
751C2×C4×C43—81no—
752C2×C4×C43—81no—
753C2×C4×C43C22×D411yescharacteristic
754C2×C4×C43C22×D411yescharacteristic
755C2×C4×C43C22×D411yescharacteristic
756C2×C4×C43C22×D411yescharacteristic
757C2×C4×C43C22×D411yescharacteristic
758C2×C4×C43C22×D411yescharacteristic
759C2×C4×C43C2511yescharacteristic
760C22⋊D43—42no—
761C22⋊D43—42no—
762C22⋊D43—42no—
763C22⋊D43—42no—
764C22⋊D43—42no—
765C22⋊D43—42no—
766C22⋊D43—81no—
767C22⋊D43—81no—
768C22⋊D43—81no—
769C22⋊D43—81no—
770C22⋊D43—81no—
771C22⋊D43—81no—
772C22⋊D43—81no—
773C2×Dic43—21no—
774C2×Dic43—21no—
775C2×Dic43—21no—
776C2×Dic43—21no—
777C2×Dic43—42no—
778C2×Dic43—81no—
779C2×Dic43—81no—
780C2×Dic43—81no—
781C2×Dic43C22×D411yescharacteristic
782C2×Dic43C22×D411yescharacteristic
783C2×Dic43C22×D411yescharacteristic
784C2×Dic43C22×D411yescharacteristic
785C2×Dic43C22×D411yescharacteristic
786C2×Dic43C22×D411yescharacteristic
787C2×Dic43C22×D411yescharacteristic
788D172—21no—
789D172—21no—
790D172—21no—
791D172—21no—
792D172—21no—
793D172—21no—
794D172—21no—
795D172—21no—
796D172—42no—
797D172—42no—
798D172—42no—
799D172—81no—
800D172—81no—
801D172—81no—
802D172—81no—
803D172—81no—
804C4×D43—22no—
805C4×D43—41no—
806C4×D43—42no—
807C4×D43—42no—
808C4×D43—42no—
809C4×D43—42no—
810C4×D43—42no—
811C4×D43—81no—
812C4×D43—81no—
813C4×D43—81no—
814C4×D43—81no—
815C4×D43—81no—
816C4×D43—81no—
817C4×D43—81no—
818C4×D43C2×#4112yes—
819C4×D43H(5,𝔽2)12yes—
820Dic86—22no—
821Dic86—22no—
822Dic86—21no—
823Dic86—21no—
824Dic86—21no—
825Dic86—21no—
826Dic86—41no—
827Dic86—42no—
828C8×C43—21no—
829C8×C43—21no—
830C8×C43—21no—
831C8×C43C2×#4112yes—
832C43⋊C8—21no—
833C43⋊C8—21no—
834C43⋊C8—21no—
835C43⋊C8C2×#4112yes—
836#61421—431nomaximal, Sylow
837C22×C43—41no—
838C22×C43—41no—
839C22×C43—41no—
840C22×C43—41no—
841C22×C43—41no—
842C22×C43—41no—
843C22×C43—41no—
844C22×C43—41no—
845C22×C43—41no—
846C22×C43C23×D411yescharacteristic
847C2×D43—21no—
848C2×D43—21no—
849C2×D43—41no—
850C2×D43—41no—
851C2×D43—41no—
852C2×D43—41no—
853C2×D43—41no—
854C2×D43—41no—
855C2×D43—41no—
856C2×D43—41no—
857C2×D43—41no—
858C2×D43—41no—
859C2×D43—41no—
860C2×D43—41no—
861C2×D43—162no—
862C2×D43—162no—
863C2×D43#55012yes—
864C4×C43—21no—
865C4×C43—21no—
866C4×C43—21no—
867C4×C43—21no—
868C4×C43—21no—
869C4×C43—21no—
870C4×C43—41no—
871C4×C43—41no—
872C4×C43—41no—
873C4×C43—41no—
874C4×C43—41no—
875C4×C43C22×#4111yescharacteristic
876C4×C43C2×H(5,𝔽2)11yescharacteristic
877Dic43—21no—
878Dic43—21no—
879Dic43—21no—
880Dic43—21no—
881Dic43—21no—
882Dic43—41no—
883Dic43—41no—
884Dic43—41no—
885Dic43—41no—
886Dic43#55012yes—
887Dic43#57712yes—
888#3508—431no—
889#3507—431no—
890#3401—431no—
891#3401—431no—
892#3401—431no—
893#3401D4311yescharacteristic, complemented
894#3400—431no—
895#3400—431no—
896#3399—431no—
897#3399—431no—
898#3397—431no—
899#3397—431no—
900#3397—431no—
901#3397—431no—
902#3396—431no—
903#3396—431no—
904#3392—431no—
905#3392—431no—
906#3154—431no—
907#3154—431no—
908#3151—431no—
909#3045—431no—
910#3045—431no—
911#3042—431no—
912#3042—431no—
913#3035—431no—
914C2×#460—431no—
915#2962—431no—
916#2946—431no—
917#2946—431no—
918C4×#137—431no—
919C2×C43—81no—
920C2×C43—81no—
921C2×C43—81no—
922C2×C43C2×#55011yescharacteristic
923C2×C43C2×#57711yescharacteristic
924C2×C43#358511yescharacteristic
925D43—22no—
926D43—81no—
927D43—81no—
928D43—81no—
929D43—81no—
930C2×#137—431no—
931C2×AGL(1,ℤ/8)—431no—
932C2×AGL(1,ℤ/8)—431no—
933C2×AGL(1,ℤ/8)—431no—
934C2×AGL(1,ℤ/8)—431no—
935C2×#135—431no—
936C2×#135—431no—
937C22×SD16—431no—
938C22×SD16—431no—
939#559—431no—
940#559—431no—
941#559—431no—
942#559—431no—
943#559—431no—
944#559C2×D4311yescharacteristic
945#557—431no—
946#557—431no—
947#556—431no—
948#556—431no—
949#556—431no—
950#556—861no—
951#556C2×D4311yescharacteristic, complemented
952#554—861no—
953#552—861no—
954#552—861no—
955#550—431no—
956#550—431no—
957#550—431no—
958#550—431no—
959#546—861no—
960#546—861no—
961#546—861no—
962#546—861no—
963#540—861no—
964#540—861no—
965#539—861no—
966#539—861no—
967#536—431no—
968#536—431no—
969#535—431no—
970#535—431no—
971#533—431no—
972#532—431no—
973#532—861no—
974#532—861no—
975C2×#127—431no—
976#529—861no—
977#529—861no—
978#520—431no—
979#520—431no—
980#518—431no—
981#518—431no—
982C4×#41—431no—
983C2×C4×Q8—431no—
984#497—431no—
985#497—431no—
986#497—431no—
987#497C2×D4311yescharacteristic, complemented
988#496—431no—
989#496—431no—
990#496—431no—
991#496—431no—
992#496—431no—
993#496—431no—
994#496—431no—
995#496C2×D4311yescharacteristic
996#495—431no—
997#495—431no—
998#495—431no—
999#495C2×D4311yescharacteristic, complemented
1000#493—431no—
1001#493—431no—
1002#492—431no—
1003#492—431no—
1004#492—431no—
1005#492—431no—
1006#492—431no—
1007#492—431no—
1008#464—431no—
1009#464—431no—
1010#464—431no—
1011#464—431no—
1012#464C2×D4311yescharacteristic, complemented
1013#464C2×D4311yescharacteristic, complemented
1014#463—431no—
1015#463—431no—
1016#463—431no—
1017#463—431no—
1018#463—431no—
1019#463—431no—
1020#463—431no—
1021#463—431no—
1022#463—431no—
1023#463—431no—
1024#463—431no—
1025#463—431no—
1026#463C2×D4311yescharacteristic, complemented
1027#463C2×D4311yescharacteristic, complemented
1028#462—431no—
1029#461—431no—
1030#461—431no—
1031#461—431no—
1032#461—431no—
1033#461—431no—
1034#461—431no—
1035#461—431no—
1036#461—431no—
1037#461C2×D4311yescharacteristic, complemented
1038#460—431no—
1039#460—431no—
1040#460—431no—
1041#460—431no—
1042#460—431no—
1043#460—431no—
1044#460—431no—
1045#460—431no—
1046#460—431no—
1047#460—431no—
1048#460—431no—
1049#460—431no—
1050#460C2×D4311yescharacteristic
1051#459—431no—
1052#459—431no—
1053#459—431no—
1054#459—431no—
1055#459—431no—
1056#446—431no—
1057#446—431no—
1058#446—431no—
1059#446—431no—
1060#446—431no—
1061#446C2×D4311yescharacteristic, complemented
1062C8×Q8—431no—
1063C8×Q8—431no—
1064#442—431no—
1065#442—431no—
1066#442—431no—
1067#442C2×D4311yescharacteristic, complemented
1068#441—431no—
1069#441C2×D4311yescharacteristic, complemented
1070#440—431no—
1071#440—431no—
1072#440—431no—
1073#440—431no—
1074#440—431no—
1075#440—431no—
1076C4×Q16—431no—
1077C4×Q16—431no—
1078C4×SD16—431no—
1079C4×SD16—431no—
1080C4×SD16—431no—
1081C4×SD16—431no—
1082C4×SD16—431no—
1083C4×SD16C2×D4311yescharacteristic, complemented
1084C4×D8—431no—
1085C4×D8—431no—
1086C4×D8—431no—
1087C4×D8—431no—
1088#428—431no—
1089#424—431no—
1090#424—431no—
1091C2×C4⋊C8—431no—
1092#419—431no—
1093#417—431no—
1094#416—431no—
1095#416—431no—
1096C2×#102—431no—
1097C2×#102—431no—
1098#405—431no—
1099#405—431no—
1100C4×M16—431no—
1101C43#6142111yescharacteristic, complemented, Sylow
1102C2×#41—431no—
1103C2×#41—431no—
1104C2×#41—431no—
1105C2×#41—861no—
1106C2×#41—861no—
1107C2×#41—861no—
1108C2×#41—861no—
1109C22×Q8—431no—
1110C22×D4—431no—
1111C22×D4—431no—
1112C22×D4—861no—
1113C22×D4—861no—
1114#137—864no—
1115AGL(1,ℤ/8)—864no—
1116AGL(1,ℤ/8)—864no—
1117AGL(1,ℤ/8)—1722no—
1118AGL(1,ℤ/8)—1722no—
1119#135—1722no—
1120#135—1722no—
1121C2×Q16—431no—
1122C2×Q16—431no—
1123C2×Q16C22×D4311yescharacteristic
1124C2×Q16C22×D4311yescharacteristic
1125C2×SD16—431no—
1126C2×SD16—431no—
1127C2×SD16—431no—
1128C2×SD16—431no—
1129C2×SD16—431no—
1130C2×SD16—431no—
1131C2×SD16—431no—
1132C2×SD16—431no—
1133C2×SD16—431no—
1134C2×SD16—431no—
1135C2×SD16—431no—
1136C2×SD16—431no—
1137C2×SD16—431no—
1138C2×SD16—431no—
1139C2×SD16—431no—
1140C2×SD16—431no—
1141C2×SD16—431no—
1142C2×SD16—1722no—
1143C2×SD16—1722no—
1144C2×SD16C22×D4311yescharacteristic
1145C2×SD16C22×D4311yescharacteristic
1146C2×SD16C22×D4311yescharacteristic
1147C2×SD16C22×D4311yescharacteristic
1148C2×SD16C22×D4311yescharacteristic
1149C2×D8—431no—
1150C2×D8—431no—
1151C2×D8—431no—
1152C2×D8—431no—
1153C2×D8—431no—
1154C2×D8—431no—
1155C2×D8—431no—
1156C2×D8—431no—
1157C2×D8C22×D4311yescharacteristic
1158C2×D8C22×D4311yescharacteristic
1159C2×M16—431no—
1160C2×M16—431no—
1161C22×C8—431no—
1162C22×C8—431no—
1163C4⋊Q8—431no—
1164C4⋊Q8—431no—
1165C4⋊Q8—431no—
1166C4⋊Q8—431no—
1167C4⋊Q8—431no—
1168C4⋊Q8—431no—
1169C4⋊Q8C22×D4311yescharacteristic
1170#127—431no—
1171#127—431no—
1172#127—431no—
1173#127—431no—
1174#127—431no—
1175#127—431no—
1176#127—431no—
1177#127—431no—
1178#127—861no—
1179#127—861no—
1180#127C22×D4311yescharacteristic
1181#126—21no—
1182#126—21no—
1183#126—861no—
1184#126—861no—
1185#126—861no—
1186#126—861no—
1187#126—861no—
1188#126—861no—
1189#125—431no—
1190#125—431no—
1191#125—861no—
1192#125—861no—
1193#125—861no—
1194#125—861no—
1195#125—861no—
1196#125—861no—
1197#124—21no—
1198#124—431no—
1199#124—431no—
1200#124—431no—
1201#124—431no—
1202#124—431no—
1203#124—431no—
1204#124—861no—
1205#124—861no—
1206#124—861no—
1207#124—861no—
1208#124—861no—
1209#124C22×D4311yescharacteristic
1210#124C22×D4311yescharacteristic
1211#124C22×D4311yescharacteristic
1212#124C22×D4311yescharacteristic
1213#123—21no—
1214#123—21no—
1215#123—861no—
1216#123—861no—
1217#123—861no—
1218#123—861no—
1219#123—861no—
1220#123—861no—
1221#123—861no—
1222#123—861no—
1223#123—861no—
1224#123—861no—
1225#123—861no—
1226#123—861no—
1227#123—861no—
1228#123—861no—
1229C22⋊Q8—21no—
1230C22⋊Q8—431no—
1231C22⋊Q8—431no—
1232C22⋊Q8—431no—
1233C22⋊Q8—431no—
1234C22⋊Q8—861no—
1235C22⋊Q8—861no—
1236C22⋊Q8—861no—
1237C22⋊Q8—861no—
1238C22⋊Q8—861no—
1239C22⋊Q8—861no—
1240C22⋊Q8—861no—
1241#121—861no—
1242#121—861no—
1243#121—861no—
1244#121—861no—
1245#121—861no—
1246#121—861no—
1247#121—861no—
1248#121—861no—
1249#121—861no—
1250#121—861no—
1251#121—861no—
1252#121—861no—
1253#121—861no—
1254#121—861no—
1255#121—861no—
1256#121—861no—
1257#121—861no—
1258#121—861no—
1259#120—861no—
1260#120—861no—
1261#120—861no—
1262#120—861no—
1263C4×Q8—431no—
1264C4×Q8—431no—
1265C4×Q8—431no—
1266C4×Q8—431no—
1267C4×Q8—431no—
1268C4×Q8—431no—
1269C4×Q8—431no—
1270C4×Q8—431no—
1271C4×Q8—431no—
1272C4×Q8—431no—
1273C4×Q8—861no—
1274C4×Q8—861no—
1275C4×Q8—861no—
1276C4×Q8—861no—
1277C4×Q8C22×D4311yescharacteristic
1278C4×Q8C22×D4311yescharacteristic
1279C4×Q8C22×D4311yescharacteristic
1280C4×Q8C22×D4311yescharacteristic
1281C4×D4—21no—
1282C4×D4—431no—
1283C4×D4—431no—
1284C4×D4—431no—
1285C4×D4—431no—
1286C4×D4—431no—
1287C4×D4—431no—
1288C4×D4—431no—
1289C4×D4—431no—
1290C4×D4—431no—
1291C4×D4—431no—
1292C4×D4—431no—
1293C4×D4—861no—
1294C4×D4—861no—
1295C4×D4—861no—
1296C4×D4—861no—
1297C4×D4—861no—
1298C4×D4—861no—
1299C4×D4—861no—
1300C4×D4—861no—
1301C4×D4—861no—
1302C4×D4—861no—
1303C4×D4—861no—
1304C4×D4—861no—
1305C4×D4—861no—
1306C4×D4—861no—
1307C4×D4—861no—
1308C4×D4—861no—
1309C4×D4—861no—
1310C4×D4C22×D4311yescharacteristic
1311C4×D4C22×D4311yescharacteristic
1312C4×D4C22×D4311yescharacteristic
1313#117—21no—
1314#117—431no—
1315#117—431no—
1316#117—431no—
1317#117—861no—
1318#117—861no—
1319#117—861no—
1320#117—861no—
1321#117—861no—
1322#117—861no—
1323C2×C4⋊C4—431no—
1324C2×C4⋊C4—861no—
1325C2×C4⋊C4—861no—
1326C2×C4⋊C4—861no—
1327C2×C22⋊C4—861no—
1328C2×C22⋊C4—861no—
1329C2×C22⋊C4—861no—
1330C2×C22⋊C4—861no—
1331C2×C42—431no—
1332C2×C42—861no—
1333C2×C42—861no—
1334#107—431no—
1335#107—431no—
1336#106—431no—
1337#106C22×D4311yescharacteristic
1338C4⋊C8—431no—
1339C4⋊C8—431no—
1340C4⋊C8—431no—
1341C4⋊C8—431no—
1342C4⋊C8—431no—
1343C4⋊C8—431no—
1344C4⋊C8—431no—
1345C4⋊C8—431no—
1346C4⋊C8—431no—
1347C4⋊C8C22×D4311yescharacteristic
1348C4⋊C8C22×D4311yescharacteristic
1349C4⋊C8C22×D4311yescharacteristic
1350#103—431no—
1351#103—431no—
1352#103—431no—
1353#103—431no—
1354#103—431no—
1355#103—431no—
1356#103—431no—
1357#103C22×D4311yescharacteristic
1358#103C22×D4311yescharacteristic
1359#103C22×D4311yescharacteristic
1360#102—431no—
1361#102—431no—
1362#102—431no—
1363#102—431no—
1364#102—431no—
1365#102—431no—
1366#102—431no—
1367#102—431no—
1368#102—431no—
1369#102—431no—
1370#102—431no—
1371#102C22×D4311yescharacteristic
1372#102C22×D4311yescharacteristic
1373#102C22×D4311yescharacteristic
1374#97—431no—
1375#97—431no—
1376#97—431no—
1377#97—431no—
1378#97C22×D4311yescharacteristic
1379#97C22×D4311yescharacteristic
1380C4×C8—431no—
1381C4×C8—431no—
1382C4×C8—431no—
1383C4×C8—431no—
1384C4×C8—431no—
1385C4×C8C22×D4311yescharacteristic
1386C24—861no—
1387C24—861no—
1388#41—862no—
1389#41—862no—
1390#41—862no—
1391#41—862no—
1392#41—862no—
1393#41—862no—
1394#41—3442no—
1395#41—3442no—
1396#41—3442no—
1397#41—3442no—
1398C2×Q8—431no—
1399C2×Q8—431no—
1400C2×Q8—431no—
1401C2×Q8—431no—
1402C2×Q8—431no—
1403C2×Q8—861no—
1404C2×Q8—862no—
1405C2×Q8—862no—
1406C2×Q8D4×D4311yescharacteristic
1407C2×Q8C23×D4311yescharacteristic
1408C2×Q8C23×D4311yescharacteristic
1409C2×Q8C23×D4311yescharacteristic
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—431no—
1413C2×D4—431no—
1414C2×D4—431no—
1415C2×D4—431no—
1416C2×D4—861no—
1417C2×D4—861no—
1418C2×D4—862no—
1419C2×D4—862no—
1420C2×D4—862no—
1421C2×D4—862no—
1422C2×D4—861no—
1423C2×D4—861no—
1424C2×D4—861no—
1425C2×D4—861no—
1426C2×D4—861no—
1427C2×D4—861no—
1428C2×D4—861no—
1429C2×D4—861no—
1430C2×D4—861no—
1431C2×D4—861no—
1432C2×D4—861no—
1433C2×D4—861no—
1434C2×D4—861no—
1435C2×D4—861no—
1436C2×D4—861no—
1437C2×D4—861no—
1438C2×D4—861no—
1439C2×D4—861no—
1440C2×D4—861no—
1441C2×D4—3442no—
1442C2×D4—3442no—
1443C2×D4C23×D4311yescharacteristic
1444C2×D4C23×D4311yescharacteristic
1445C2×D4C23×D4311yescharacteristic
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—431no—
1450C22×C4—431no—
1451C22×C4—431no—
1452C22×C4—861no—
1453C22×C4—861no—
1454C22×C4—861no—
1455C22×C4—861no—
1456C22×C4—861no—
1457C22×C4—861no—
1458C22×C4—861no—
1459C22×C4—861no—
1460C22×C4—861no—
1461C22×C4—861no—
1462C22×C4—861no—
1463C22×C4—861no—
1464C22×C4—861no—
1465C22×C4—861no—
1466C22×C4—861no—
1467C22×C4—861no—
1468Q16—22no—
1469Q16—41no—
1470Q16—862no—
1471Q16—1721no—
1472SD16—22no—
1473SD16—41no—
1474SD16—41no—
1475SD16—41no—
1476SD16—41no—
1477SD16—862no—
1478SD16—862no—
1479SD16—862no—
1480SD16—862no—
1481SD16—862no—
1482SD16—1721no—
1483SD16—1721no—
1484SD16—1721no—
1485SD16—1721no—
1486SD16—1721no—
1487SD16—1721no—
1488SD16—1721no—
1489SD16—1721no—
1490SD16—1721no—
1491SD16—1721no—
1492SD16—1721no—
1493SD16—1721no—
1494D8—22no—
1495D8—41no—
1496D8—862no—
1497D8—862no—
1498D8—862no—
1499D8—1721no—
1500D8—1721no—
1501D8—1721no—
1502D8—1721no—
1503D8—1721no—
1504M16—434no—
1505M16—862no—
1506C2×C8—431no—
1507C2×C8—431no—
1508C2×C8—431no—
1509C2×C8—431no—
1510C2×C8—862no—
1511C2×C8—862no—
1512C2×C8C23×D4311yescharacteristic
1513C2×C8C23×D4311yescharacteristic
1514C2×C8C23×D4311yescharacteristic
1515C2×C8C23×D4311yescharacteristic
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4—431no—
1522C4⋊C4—431no—
1523C4⋊C4—431no—
1524C4⋊C4—431no—
1525C4⋊C4—431no—
1526C4⋊C4—431no—
1527C4⋊C4—431no—
1528C4⋊C4—431no—
1529C4⋊C4—431no—
1530C4⋊C4—431no—
1531C4⋊C4—431no—
1532C4⋊C4—431no—
1533C4⋊C4—431no—
1534C4⋊C4—431no—
1535C4⋊C4—431no—
1536C4⋊C4—861no—
1537C4⋊C4—861no—
1538C4⋊C4—861no—
1539C4⋊C4—861no—
1540C4⋊C4—861no—
1541C4⋊C4—861no—
1542C4⋊C4—861no—
1543C4⋊C4—861no—
1544C4⋊C4—861no—
1545C4⋊C4—861no—
1546C4⋊C4—861no—
1547C4⋊C4—861no—
1548C4⋊C4—861no—
1549C4⋊C4—861no—
1550C4⋊C4—861no—
1551C4⋊C4—861no—
1552C4⋊C4D4×D4311yescharacteristic
1553C4⋊C4D4×D4311yescharacteristic
1554C4⋊C4D4×D4311yescharacteristic
1555C4⋊C4C23×D4311yescharacteristic
1556C4⋊C4C23×D4311yescharacteristic
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—431no—
1569C22⋊C4—431no—
1570C22⋊C4—431no—
1571C22⋊C4—431no—
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—861no—
1581C22⋊C4—861no—
1582C22⋊C4—861no—
1583C22⋊C4—861no—
1584C22⋊C4—861no—
1585C22⋊C4—861no—
1586C22⋊C4—861no—
1587C22⋊C4—861no—
1588C22⋊C4—861no—
1589C22⋊C4—861no—
1590C22⋊C4—861no—
1591C22⋊C4—861no—
1592C22⋊C4—861no—
1593C22⋊C4—861no—
1594C22⋊C4—861no—
1595C22⋊C4—861no—
1596C42—21no—
1597C42—21no—
1598C42—21no—
1599C42—431no—
1600C42—431no—
1601C42—431no—
1602C42—431no—
1603C42—431no—
1604C42—861no—
1605C42—861no—
1606C42—861no—
1607C42—861no—
1608C42—861no—
1609C42—861no—
1610C42—861no—
1611C42—861no—
1612C42C23×D4311yescharacteristic
1613C42C23×D4311yescharacteristic
1614C42C23×D4311yescharacteristic
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—431no—
1619C23—861no—
1620C23—861no—
1621C23—861no—
1622C23—861no—
1623C23—3441no—
1624C23—3441no—
1625C23—3441no—
1626C23—3441no—
1627C23—1722no—
1628C23—1722no—
1629Q8—21no—
1630Q8—21no—
1631Q8—21no—
1632Q8—21no—
1633Q8—21no—
1634Q8—21no—
1635Q8—41no—
1636Q8—862no—
1637Q8—862no—
1638Q8—861no—
1639Q8—861no—
1640Q8—861no—
1641Q8—861no—
1642Q8—1721no—
1643Q8—1722no—
1644D4—21no—
1645D4—21no—
1646D4—21no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—42no—
1651D4—81no—
1652D4—861no—
1653D4—861no—
1654D4—861no—
1655D4—861no—
1656D4—861no—
1657D4—861no—
1658D4—861no—
1659D4—861no—
1660D4—3441no—
1661D4—3441no—
1662D4—3441no—
1663D4—3441no—
1664D4—3441no—
1665D4—3441no—
1666D4—3441no—
1667D4—3441no—
1668D4—3441no—
1669D4—3441no—
1670D4—3441no—
1671D4—3441no—
1672D4—1722no—
1673D4—1722no—
1674D4—1722no—
1675D4—1722no—
1676D4—1722no—
1677D4—1722no—
1678D4—1722no—
1679D4—1722no—
1680D4—1722no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—81no—
1687C2×C4—81no—
1688C2×C4—81no—
1689C2×C4—431no—
1690C2×C4—431no—
1691C2×C4—432no—
1692C2×C4—432no—
1693C2×C4—431no—
1694C2×C4—431no—
1695C2×C4—431no—
1696C2×C4—431no—
1697C2×C4—431no—
1698C2×C4—862no—
1699C2×C4—861no—
1700C2×C4—861no—
1701C2×C4—861no—
1702C2×C4—861no—
1703C2×C4—3441no—
1704C2×C4—3441no—
1705C2×C4—3441no—
1706C2×C4—3441no—
1707C2×C4—3441no—
1708C2×C4—3441no—
1709C2×C4—3441no—
1710C2×C4—3441no—
1711C2×C4—3441no—
1712C2×C4—3441no—
1713C2×C4—1721no—
1714C2×C4—1722no—
1715C2×C4—1722no—
1716C2×C4—1722no—
1717C2×C4—1722no—
1718C2×C4—1722no—
1719C2×C4—1722no—
1720C2×C4C2×D4×D4311yescharacteristic
1721C2×C4C2×D4×D4311yescharacteristic
1722C2×C4C2×D4×D4311yescharacteristic
1723C2×C4C2×D4×D4311yescharacteristic
1724C2×C4C2×D4×D4311yescharacteristic
1725C2×C4C2×D4×D4311yescharacteristic
1726C2×C4C24×D4311yescharacteristic
1727C8—21no—
1728C8—21no—
1729C8—21no—
1730C8—432no—
1731C8—861no—
1732C8—861no—
1733C8—861no—
1734C8#41×D4312yes—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—432no—
1745C22—861no—
1746C22—861no—
1747C22—1721no—
1748C22—1721no—
1749C22—1721no—
1750C22—1721no—
1751C22—1721no—
1752C22—1721no—
1753C22—1721no—
1754C22—1721no—
1755C22—1721no—
1756C22—1721no—
1757C22—1721no—
1758C22—1721no—
1759C22—6882no—
1760C22—6882no—
1761C22C22×D4×D4311yescharacteristic
1762C4—21no—
1763C4—21no—
1764C4—21no—
1765C4—21no—
1766C4—21no—
1767C4—21no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—432no—
1774C4—432no—
1775C4—861no—
1776C4—861no—
1777C4—861no—
1778C4—861no—
1779C4—861no—
1780C4—1721no—
1781C4—1721no—
1782C4—1721no—
1783C4—1721no—
1784C4C2×#41×D4311yescharacteristic
1785C4H(5,𝔽2)×D4311yescharacteristic
1786C2—81no—
1787C2—81no—
1788C2—81no—
1789C2—862no—
1790C2—3441no—
1791C2—3441no—
1792C2—3441no—
1793C2—3441no—
1794C2#550×D4311yescharacteristic
1795C2#577×D4311yescharacteristic
1796C2#1914937211yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3401C2
socleC22×C43C23×D4
hypercenter#3401D43
hypocenterC43#61421
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3401

Complements

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

NH ≅ G/Ntype
1. #19148468C2semidirect
2. #19148456C2semidirect
3. #19147664C2semidirect
4. #19147662C2semidirect
5. #19147655C2semidirect
6. #19147651C2semidirect
7. #19147645C2semidirect
8. #19147638C2semidirect
9. #19147632C2semidirect
10. #19147617C2semidirect
11. #19147615C2semidirect
12. #19147612C2semidirect
13. #19147610C2semidirect
14. #19147604C2semidirect
15. #19147602C2semidirect
16. #19147574C2semidirect
17. #19147571C2semidirect
18. #19145070C2semidirect
19. #19145066C2semidirect
20. #19145044C2semidirect
21. #19144137C2semidirect
22. #19144135C2semidirect
23. #19144105C2semidirect
24. #19144102C2semidirect
25. #19144049C2semidirect
26. #460×D43C2semidirect
27. #19143540C2semidirect
28. #19143424C2semidirect
29. #19143422C2semidirect
30. #19143411C2semidirect
31. C43×#3401C2semidirect
42. #14583632C22semidirect
45. #14583631C22semidirect
46. #14583627C22semidirect
47. #14583624C22semidirect
48. #14583622C22semidirect
49. #14583621C22semidirect
50. #14583618C22semidirect
84. #14583294C22semidirect
85. #14583292C22semidirect
86. #14583292C22semidirect
88. #14583289C22semidirect
90. #14583288C22semidirect
91. #14583287C22semidirect
93. #14583285C22semidirect
94. #14583284C22semidirect
95. #14583281C22semidirect
96. #14583280C22semidirect
99. #14583273C22semidirect
100. #14583272C22semidirect
103. #14583270C22semidirect
104. #14583270C22semidirect
105. #14583124C22semidirect
106. #14583123C22semidirect
107. #14583121C22semidirect
108. #14583118C22semidirect
109. #14583117C22semidirect
110. #14583117C22semidirect
111. #14583116C22semidirect
112. #14583116C22semidirect
113. #14583115C22semidirect
114. #14583115C22semidirect
115. #14583114C22semidirect
116. #14583113C22semidirect
117. #14583112C22semidirect
118. #14583111C22semidirect
119. #14583111C22semidirect
120. #14583111C22semidirect
121. #14583107C22semidirect
122. #14583105C22semidirect
123. #14583104C22semidirect
124. #14583103C22semidirect
125. #14583103C22semidirect
126. #14583103C22semidirect
127. #14583102C22semidirect
128. #14583102C22semidirect
129. #14583101C22semidirect
131. #14583100C22semidirect
133. #14583099C22semidirect
136. #14583098C22semidirect
139. #14583097C22semidirect
140. #14583097C22semidirect
142. #14583095C22semidirect
143. #14583094C22semidirect
144. #14583093C22semidirect
145. #14583093C22semidirect
146. #14583092C22semidirect
147. #14583030C22semidirect
148. #14583028C22semidirect
149. #14583028C22semidirect
150. #14583027C22semidirect
151. #14583027C22semidirect
152. C8×Dic86C22semidirect
153. #14583023C22semidirect
154. #14583010C22semidirect
155. #14583009C22semidirect
156. #14583008C22semidirect
157. #14583004C22semidirect
158. #14583001C22semidirect
159. #14583001C22semidirect
160. #14583000C22semidirect
161. #14582997C22semidirect
162. #14582997C22semidirect
163. #14582996C22semidirect
164. Q16×Dic43C22semidirect
165. #14582991C22semidirect
166. #14582986C22semidirect
167. #14582986C22semidirect
168. C4×#10621883C22semidirect
169. #14582984C22semidirect
170. #14582984C22semidirect
171. C4×D344C22semidirect
172. D8×Dic43C22semidirect
173. C4×#10621882C22semidirect
174. #14582979C22semidirect
189. C43×#556C22semidirect
190. C43×#497C22semidirect
192. C43×#495C22semidirect
193. C43×#464C22semidirect
194. C43×#464C22semidirect
195. C43×#463C22semidirect
196. C43×#463C22semidirect
197. C43×#461C22semidirect
199. C43×#446C22semidirect
200. C43×#442C22semidirect
201. C43×#441C22semidirect
202. C4×SD16×C43C22semidirect
713. #10621872#41semidirect
893. #3401D43semidirect
951. #556C2×D43semidirect
987. #497C2×D43semidirect
999. #495C2×D43semidirect
1012. #464C2×D43semidirect
1013. #464C2×D43semidirect
1026. #463C2×D43semidirect
1027. #463C2×D43semidirect
1037. #461C2×D43semidirect
1061. #446C2×D43semidirect
1067. #442C2×D43semidirect
1069. #441C2×D43semidirect
1083. C4×SD16C2×D43semidirect
1101. C43#61421semidirect

Maximal subgroups

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

subgroupindex
#191484682
#191484562
#191476642
#191476622
#191476552
#191476512
#191476452
#191476382
#191476322
#191476172
#191476152
#191476122
#191476102
#191476042
#191476022
#191475742
#191475712
#191450702
#191450662
#191450442
#191441372
#191441352
#191441052
#191441022
#191440492
#460×D432
#191435402
#191434242
#191434222
#191434112
C43×#34012
#6142143