Finite Group Databasebeta

← #25979789

Subgroups — #25979789

Order 11008.

1896 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148657C211yesmaximal, characteristic, complemented
2#19148622C211yesmaximal, characteristic, complemented
3#19147612C211yesmaximal, characteristic, complemented
4#19147550C211yesmaximal, characteristic, complemented
5#19147421C211yesmaximal, characteristic, complemented
6#19147299C211yesmaximal, characteristic, complemented
7#19147196C211yesmaximal, characteristic, complemented
8#19147135C211yesmaximal, characteristic, complemented
9#19147109C211yesmaximal, characteristic, complemented
10#19146821C211yesmaximal, characteristic, complemented
11#19146791C211yesmaximal, characteristic, complemented
12#19146750C211yesmaximal, characteristic, complemented
13#19146731C211yesmaximal, characteristic, complemented
14#19146615C211yesmaximal, characteristic, complemented
15#19146566C211yesmaximal, characteristic, complemented
16#19146192C211yesmaximal, characteristic, complemented
17#19146082C211yesmaximal, characteristic, complemented
18#19146074C211yesmaximal, characteristic, complemented
19#19145282C211yesmaximal, characteristic, complemented
20#19145219C211yesmaximal, characteristic, complemented
21#19144844C211yesmaximal, characteristic, complemented
22#19144835C211yesmaximal, characteristic, complemented
23#19144800C211yesmaximal, characteristic, complemented
24#19144775C211yesmaximal, characteristic, complemented
25#19144740C211yesmaximal, characteristic, complemented
26#19144729C211yesmaximal, characteristic, complemented
27#19143580C211yesmaximal, characteristic, complemented
28#19143442C211yesmaximal, characteristic, complemented
29#19143422C211yesmaximal, characteristic, complemented
30C4×#13063353C211yesmaximal, characteristic, complemented
31C43×#3171C211yesmaximal, characteristic, complemented
32C2×#13063353C2211yescharacteristic
33C2×#13063352C2211yescharacteristic
34C2×D8×D43C2211yescharacteristic
35#14583620C2211yescharacteristic, complemented
36#14583618C2211yescharacteristic, complemented
37#14583615C2211yescharacteristic
38#14583610C2211yescharacteristic, complemented
39#14583605C2211yescharacteristic, complemented
40#14583601C2211yescharacteristic
41#14583601C2211yescharacteristic, complemented
42#14583599—21no—
43#14583599—21no—
44#14583596C2211yescharacteristic, complemented
45#14583588—21no—
46#14583587C2211yescharacteristic, complemented
47#14583578—21no—
48#14583573—21no—
49#14583569C2211yescharacteristic, complemented
50#14583551C2211yescharacteristic, complemented
51#14583546C2211yescharacteristic, complemented
52#14583544—21no—
53#14583542C2211yescharacteristic, complemented
54#14583537—21no—
55#14583537—21no—
56#14583534C2211yescharacteristic
57#14583533C2211yescharacteristic
58#14583533C2211yescharacteristic, complemented
59#14583514C2211yescharacteristic, complemented
60#14583507C2211yescharacteristic, complemented
61#14583500C2211yescharacteristic
62#14583500C2211yescharacteristic, complemented
63#14583492—21no—
64#14583485—21no—
65#14583483—21no—
66#14583483—21no—
67#14583433C2211yescharacteristic
68#14583432—21no—
69#126×D43—21no—
70#14583409—21no—
71#121×D43—21no—
72#14583381C2211yescharacteristic, complemented
73#14583371C2211yescharacteristic
74#14583371C2211yescharacteristic, complemented
75#14583371C2211yescharacteristic, complemented
76C4×#10621898C2211yescharacteristic, complemented
77C2×C4×D172C2211yescharacteristic, complemented
78#14583307C2211yescharacteristic, complemented
79#14583299C2211yescharacteristic, complemented
80#14583287C2211yescharacteristic, complemented
81#14583270C2211yescharacteristic, complemented
82#14583266C2211yescharacteristic, complemented
83#14583262C2211yescharacteristic, complemented
84#14583252C2211yescharacteristic, complemented
85#14583244C2211yescharacteristic, complemented
86#14583243C2211yescharacteristic, complemented
87#14583242C2211yescharacteristic, complemented
88#14583238C2211yescharacteristic, complemented
89#14583227C2211yescharacteristic, complemented
90#14583226C2211yescharacteristic, complemented
91#14583222C2211yescharacteristic, complemented
92#14583221C2211yescharacteristic, complemented
93#14583220C2211yescharacteristic, complemented
94#14583220C2211yescharacteristic, complemented
95#14583219C2211yescharacteristic, complemented
96#14583211C2211yescharacteristic, complemented
97#14583210C2211yescharacteristic, complemented
98#14583208C2211yescharacteristic, complemented
99#14583202C2211yescharacteristic, complemented
100#14583201C2211yescharacteristic, complemented
101#14583198C2211yescharacteristic, complemented
102#14583198C2211yescharacteristic, complemented
103#14583197C2211yescharacteristic, complemented
104#14583196C2211yescharacteristic, complemented
105#14583196C2211yescharacteristic, complemented
106#14583187C2211yescharacteristic, complemented
107#14583181C2211yescharacteristic, complemented
108#14583178C2211yescharacteristic, complemented
109#14583176C2211yescharacteristic, complemented
110#14583149C2211yescharacteristic, complemented
111#14583148C2211yescharacteristic, complemented
112#14583146C2211yescharacteristic, complemented
113#14583144C2211yescharacteristic, complemented
114#14583134C2211yescharacteristic, complemented
115#14583129C2211yescharacteristic, complemented
116#14583127C2211yescharacteristic, complemented
117#14583125C2211yescharacteristic, complemented
118#14583113C2211yescharacteristic
119#14583112C2211yescharacteristic, complemented
120#14583111C2211yescharacteristic
121#14583111C2211yescharacteristic, complemented
122#14583103C2211yescharacteristic, complemented
123#14583102C2211yescharacteristic, complemented
124#14583097C2211yescharacteristic, complemented
125#14583096C2211yescharacteristic, complemented
126#14583093C2211yescharacteristic, complemented
127#14583093C2211yescharacteristic, complemented
128#14583092C2211yescharacteristic, complemented
129#14583091C2211yescharacteristic, complemented
130#14583051C2211yescharacteristic
131#14583051C2211yescharacteristic, complemented
132#14583049C2211yescharacteristic, complemented
133#14583048C2211yescharacteristic
134#14583047C2211yescharacteristic, complemented
135#14583043C2211yescharacteristic, complemented
136#14583042C2211yescharacteristic, complemented
137#14583042C2211yescharacteristic, complemented
138#14583034C2211yescharacteristic, complemented
139#14583032C2211yescharacteristic
140#14583031C2211yescharacteristic
141#14583031C2211yescharacteristic, complemented
142#14583027C2211yescharacteristic, complemented
143#14583027C2211yescharacteristic, complemented
144#14583012C2211yescharacteristic
145#14583012C2211yescharacteristic, complemented
146#14583010C2211yescharacteristic
147#14583009C2211yescharacteristic
148#14583009C2211yescharacteristic, complemented
149#14583009C2211yescharacteristic, complemented
150#14583009C2211yescharacteristic, complemented
151#14583008C2211yescharacteristic
152#14583008C2211yescharacteristic, complemented
153#14583001C2211yescharacteristic, complemented
154#14583001C2211yescharacteristic, complemented
155#14583000C2211yescharacteristic, complemented
156#14582999C2211yescharacteristic, complemented
157#14582999C2211yescharacteristic, complemented
158#14582997C2211yescharacteristic, complemented
159#14582997C2211yescharacteristic, complemented
160C4×#10621873C2211yescharacteristic, complemented
161C4×#10621873C2211yescharacteristic, complemented
162#14582984C2211yescharacteristic, complemented
163C4×D344C2211yescharacteristic
164C4×D344C2211yescharacteristic, complemented
165D8×Dic43C2211yescharacteristic, complemented
166#14582981C2211yescharacteristic
167#14582979C2211yescharacteristic, complemented
168#14582975C2211yescharacteristic, complemented
169#14582975C2211yescharacteristic, complemented
170#14582972C2211yescharacteristic, complemented
171#14582972C2211yescharacteristic, complemented
172#14582968C2211yescharacteristic, complemented
173#14582968C2211yescharacteristic, complemented
174#14582958C2211yescharacteristic, complemented
175#14582958C2211yescharacteristic, complemented
176#14582956C2211yescharacteristic, complemented
177#14582941C2211yescharacteristic, complemented
178#14582938C2211yescharacteristic, complemented
179#14582936C2211yescharacteristic, complemented
180#14582905C2211yescharacteristic, complemented
181#14582902C2211yescharacteristic
182#14582902C2211yescharacteristic, complemented
183#14582901C2211yescharacteristic, complemented
184#14582894C2211yescharacteristic, complemented
185#102×D43C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187#14582853C2211yescharacteristic, complemented
188C43×#532C2211yescharacteristic, complemented
189C43×#529C2211yescharacteristic, complemented
190C43×#501C2211yescharacteristic, complemented
191C43×#496C2211yescharacteristic, complemented
192C43×#490C2211yescharacteristic, complemented
193C43×#489C2211yescharacteristic, complemented
194C43×#469C2211yescharacteristic, complemented
195C43×#469C2211yescharacteristic, complemented
196C43×#468C2211yescharacteristic, complemented
197C43×#468C2211yescharacteristic, complemented
198C4×SD16×C43C2211yescharacteristic, complemented
199C4×SD16×C43C2211yescharacteristic, complemented
200C4×D8×C43C2211yescharacteristic, complemented
201C4×D8×C43C2211yescharacteristic, complemented
202C4×M16×C43C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898C2311yescharacteristic
205C2×#10621900—21no—
206C22×D172C2311yescharacteristic
207C2×D4×D43—21no—
208C2×D4×D43—21no—
209C2×D4×D43—21no—
210C2×D4×D43C2311yescharacteristic
211C2×D4×D43C2311yescharacteristic
212C2×D4×D43C2311yescharacteristic
213C22×C4×D43—21no—
214#13063353—24no—
215#13063352—24no—
216C2×#10621873C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×D344C2311yescharacteristic
223C2×D344C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228D8×D43—24no—
229C2×#10621872C2311yescharacteristic
230C2×#10621872C2311yescharacteristic
231C2×C8×D43C2311yescharacteristic
232C2×C8×D43C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063323C2311yescharacteristic
235#13063321C2311yescharacteristic
236#13063321C2311yescharacteristic
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063319—21no—
241#13063319D411yescharacteristic
242#13063319D411yescharacteristic
243#13063318—21no—
244#13063318—21no—
245#13063318—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318—21no—
250#13063317—21no—
251#13063317D411yescharacteristic
252#13063316—21no—
253#13063316C2311yescharacteristic
254#13063316C2311yescharacteristic
255#13063316C2311yescharacteristic
256#13063315—21no—
257#13063314—21no—
258#13063314—21no—
259#13063313D411yescharacteristic
260#13063312C2311yescharacteristic
261#13063311—21no—
262#13063311—21no—
263#13063310—21no—
264#13063310—21no—
265#13063309—21no—
266#13063309—21no—
267#13063308—21no—
268#13063308—21no—
269#13063308—21no—
270#13063308D411yescharacteristic
271#13063308D411yescharacteristic
272#13063307—21no—
273#13063307—21no—
274#13063307—21no—
275#13063307—21no—
276#13063307—21no—
277#13063306—21no—
278#13063305—21no—
279#13063305—21no—
280#13063305C2311yescharacteristic
281#13063305C2311yescharacteristic
282#13063304—21no—
283#13063304D411yescharacteristic
284#13063303—21no—
285#13063303—21no—
286#13063302—21no—
287#13063301—21no—
288#13063301—21no—
289#13063301C2311yescharacteristic
290#13063300—21no—
291#13063300C2311yescharacteristic
292#13063300C2311yescharacteristic
293#13063299—21no—
294#13063299—21no—
295#13063299D411yescharacteristic
296#13063298—21no—
297#13063298—21no—
298#13063298—21no—
299#13063298—21no—
300#13063298—21no—
301#13063298—21no—
302#13063297—21no—
303#13063297—21no—
304#13063297—21no—
305#13063297—21no—
306#13063296—21no—
307#13063296—21no—
308#13063296—21no—
309#13063296—21no—
310#13063296C2311yescharacteristic
311#13063296C2311yescharacteristic
312#13063296C2311yescharacteristic
313#13063295—21no—
314#13063295—21no—
315#13063295—21no—
316#13063293—21no—
317#13063293—21no—
318#13063293—21no—
319#13063293—21no—
320#13063293—21no—
321Q8×Dic43C2311yescharacteristic
322C4×Dic86C2311yescharacteristic
323C4×Dic86C2311yescharacteristic
324C4×Dic86C2311yescharacteristic
325#13063290—21no—
326C4×D172—21no—
327C4×D172—21no—
328C4×D172—21no—
329C4×D172C2311yescharacteristic
330C4×D172C2311yescharacteristic
331C4×D172C2311yescharacteristic
332C4×D172C2311yescharacteristic
333C4×D172C2311yescharacteristic
334C4×D172C2311yescharacteristic
335C4×D172C2311yescharacteristic
336D4×Dic43—21no—
337D4×Dic43—21no—
338D4×Dic43C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341#13063287—21no—
342#13063287C2311yescharacteristic
343#13063287C2311yescharacteristic
344#13063287C2311yescharacteristic
345#13063287C2311yescharacteristic
346C4×C22⋊D43—21no—
347C4×C22⋊D43—21no—
348C4×C22⋊D43—21no—
349C4×C22⋊D43—21no—
350C4×C22⋊D43—21no—
351C4×C22⋊D43C2311yescharacteristic
352C4×C22⋊D43C2311yescharacteristic
353(C22⋊D43)⋊C4—21no—
354(C22⋊D43)⋊C4—21no—
355(C22⋊D43)⋊C4—21no—
356(C22⋊D43)⋊C4—21no—
357#13063284C2311yescharacteristic
358#13063283—21no—
359#13063283—21no—
360#13063283C2311yescharacteristic
361#13063283C2311yescharacteristic
362#13063283C2311yescharacteristic
363#13063282—21no—
364#13063282—21no—
365#13063282C2311yescharacteristic
366#13063282C2311yescharacteristic
367#13063281—21no—
368C2×C4⋊Dic43C2311yescharacteristic
369C4⋊C4×D43—21no—
370C4⋊C4×D43—21no—
371C4⋊C4×D43—21no—
372C4⋊C4×D43—21no—
373C4⋊C4×D43C2311yescharacteristic
374C2×(C2×D43)⋊C4—21no—
375C2×(C2×D43)⋊C4—21no—
376C2×(C2×D43)⋊C4—21no—
377C2×(C2×D43)⋊C4—21no—
378C22⋊C4×D43—21no—
379C22⋊C4×D43—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C42×D43—21no—
384#13063259C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396C4⋊(C43⋊C8)C2311yescharacteristic
397C4⋊(C43⋊C8)C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427C22⋊(C43⋊C8)C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431(C2×D43)⋊C8C2311yescharacteristic
432#13063236C2311yescharacteristic
433#13063236C2311yescharacteristic
434#13063235C2311yescharacteristic
435#13063235C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43—21no—
439C2×SD16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×D8×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443C2×M16×C43C2311yescharacteristic
444C2×M16×C43C2311yescharacteristic
445C4⋊Q8×C43C2311yescharacteristic
446#127×C43C2311yescharacteristic
447#126×C43—21no—
448#125×C43C2311yescharacteristic
449#124×C43—21no—
450#124×C43C2311yescharacteristic
451#123×C43—21no—
452C22⋊Q8×C43C2311yescharacteristic
453#121×C43—21no—
454#121×C43C2311yescharacteristic
455#121×C43C2311yescharacteristic
456#121×C43C2311yescharacteristic
457C4×Q8×C43C2311yescharacteristic
458C4×D4×C43—21no—
459C4×D4×C43—21no—
460C4×D4×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462C4×D4×C43C2311yescharacteristic
463#117×C43—21no—
464C2×C42×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#97×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479C4×C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483C23×D43—21no—
484C23×D43—21no—
485#41×C43—82no—
486C2×Q8×C43—21no—
487C2×Q8×C43C2411yescharacteristic
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43C2411yescharacteristic
494C2×D4×C43C2411yescharacteristic
495C2×D4×C43C2411yescharacteristic
496C22×C4×C43—21no—
497C22×C4×C43—21no—
498C22×C4×C43—21no—
499C22×C4×C43C2×D411yescharacteristic
500C22×C4×C43C2×D411yescharacteristic
501C22×C4×C43C2411yescharacteristic
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⋊D43C2×D411yescharacteristic
514C2×C22⋊D43C2×D411yescharacteristic
515C22×Dic43—21no—
516C22×Dic43—21no—
517C22×Dic43—21no—
518C22×Dic43—21no—
519#10621902—22no—
520#10621902—41no—
521#10621900—82no—
522D4×D43—22no—
523D4×D43—22no—
524D4×D43—22no—
525D4×D43—41no—
526D4×D43—41no—
527D4×D43—41no—
528D4×D43—82no—
529D4×D43—82no—
530D4×D43—82no—
531#10621898—22no—
532#10621898—41no—
533C2×D172—21no—
534C2×D172—21no—
535C2×D172—21no—
536C2×D172—21no—
537C2×D172—22no—
538C2×D172—41no—
539C2×D172C2×D411yescharacteristic
540C2×D172C2411yescharacteristic
541C2×D172C2411yescharacteristic
542C2×D172C2411yescharacteristic
543C2×C4×D43—21no—
544C2×C4×D43—21no—
545C2×C4×D43—21no—
546C2×C4×D43—21no—
547C2×C4×D43—21no—
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—82no—
557C2×C4×D43C2411yescharacteristic
558C2×C4×D43C2411yescharacteristic
559C2×Dic86—21no—
560C2×Dic86C2×D411yescharacteristic
561C2×Dic86C2411yescharacteristic
562SD16×C43—22no—
563SD16×C43—41no—
564D8×C43—22no—
565D8×C43—41no—
566M16×C43—22no—
567M16×C43—41no—
568C2×C8×C43C2411yescharacteristic
569C2×C8×C43C2411yescharacteristic
570C2×C8×C43C2411yescharacteristic
571C2×C8×C43C2411yescharacteristic
572C4⋊C4×C43—21no—
573C4⋊C4×C43—21no—
574C4⋊C4×C43—21no—
575C4⋊C4×C43—21no—
576C4⋊C4×C43—21no—
577C4⋊C4×C43C2411yescharacteristic
578C4⋊C4×C43C2411yescharacteristic
579C4⋊C4×C43C2411yescharacteristic
580C4⋊C4×C43C2411yescharacteristic
581C22⋊C4×C43—21no—
582C22⋊C4×C43—21no—
583C22⋊C4×C43—21no—
584C22⋊C4×C43—21no—
585C22⋊C4×C43—21no—
586C22⋊C4×C43—21no—
587C22⋊C4×C43—21no—
588C22⋊C4×C43—21no—
589C22⋊C4×C43—21no—
590C42×C43—21no—
591C42×C43C2×D411yescharacteristic
592C42×C43C2×D411yescharacteristic
593C42×C43C2411yescharacteristic
594C42×C43C2411yescharacteristic
595C22⋊Dic43—21no—
596C22⋊Dic43—21no—
597C22⋊Dic43—21no—
598C22⋊Dic43—21no—
599C22⋊Dic43—21no—
600C22⋊Dic43—21no—
601C22⋊Dic43—21no—
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43C2×D411yescharacteristic
605C22⋊Dic43C2×D411yescharacteristic
606#10621884—22no—
607#10621884—41no—
608#10621883—41no—
609#10621883—41no—
610#10621882—22no—
611#10621882—22no—
612#10621882—22no—
613#10621882—41no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4C2×D411yescharacteristic
633(C2×D43)⋊C4C2×D411yescharacteristic
634(C2×D43)⋊C4C2×D411yescharacteristic
635(C2×D43)⋊C4C2×D411yescharacteristic
636(C2×D43)⋊C4C2×D411yescharacteristic
637(C2×D43)⋊C4C2×D411yescharacteristic
638(C2×D43)⋊C4C2×D411yescharacteristic
639(C2×D43)⋊C4C2×D411yescharacteristic
640C4⋊Dic43—21no—
641C4⋊Dic43—21no—
642C4⋊Dic43—21no—
643C4⋊Dic43—21no—
644C4⋊Dic43—21no—
645C4⋊Dic43—21no—
646C4⋊Dic43—21no—
647C4⋊Dic43C2×D411yescharacteristic
648C4⋊Dic43C2×D411yescharacteristic
649C4⋊Dic43C2411yescharacteristic
650C4⋊Dic43C2411yescharacteristic
651C4⋊Dic43C2411yescharacteristic
652C4⋊Dic43C2411yescharacteristic
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4C2×D411yescharacteristic
664Dic43⋊C4C2×D411yescharacteristic
665Dic43⋊C4C2×D411yescharacteristic
666Dic43⋊C4C2×D411yescharacteristic
667Dic43⋊C4C2×D411yescharacteristic
668Dic43⋊C4C2×D411yescharacteristic
669Dic43⋊C4C2×D411yescharacteristic
670Dic43⋊C4C2×D411yescharacteristic
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43—21no—
676C4×Dic43—21no—
677C4×Dic43—21no—
678C4×Dic43C2411yescharacteristic
679C4×Dic43C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684D344—22no—
685D344#4114yescomplemented
686#10621873—22no—
687#10621873—22no—
688#10621872—22no—
689#10621872—41no—
690C8×D43—22no—
691C8×D43—41no—
692C23×C43—21no—
693C23×C43—21no—
694C23×C43—21no—
695C23×C43C22×D411yescharacteristic
696C22×D43—21no—
697C22×D43—21no—
698C22×D43—21no—
699C22×D43—42no—
700C22×D43—42no—
701C22×D43—42no—
702C22×D43—42no—
703C22×D43—42no—
704C22×D43—81no—
705C22×D43—81no—
706C22×D43—81no—
707C22×D43—81no—
708C22×D43—81no—
709C22×D43—81no—
710C22×D43—81no—
711C22×D43C22×D411yescharacteristic
712C22×D43C22×D411yescharacteristic
713Q8×C43—21no—
714Q8×C43—21no—
715Q8×C43—81no—
716D4×C43—21no—
717D4×C43—21no—
718D4×C43—21no—
719D4×C43—21no—
720D4×C43—21no—
721D4×C43—21no—
722D4×C43—42no—
723D4×C43—42no—
724D4×C43—42no—
725D4×C43—81no—
726D4×C43—81no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—41no—
735C2×C4×C43—41no—
736C2×C4×C43—81no—
737C2×C4×C43—81no—
738C2×C4×C43—81no—
739C2×C4×C43C22×D411yescharacteristic
740C2×C4×C43C22×D411yescharacteristic
741C2×C4×C43C22×D411yescharacteristic
742C2×C4×C43C22×D411yescharacteristic
743C2×C4×C43C22×D411yescharacteristic
744C2×C4×C43C2511yescharacteristic
745C22⋊D43—41no—
746C22⋊D43—41no—
747C22⋊D43—42no—
748C22⋊D43—42no—
749C22⋊D43—42no—
750C22⋊D43—42no—
751C22⋊D43—81no—
752C22⋊D43—81no—
753C22⋊D43—81no—
754C22⋊D43—81no—
755C22⋊D43—81no—
756C22⋊D43—81no—
757C22⋊D43—81no—
758C2×Dic43—21no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—81no—
764C2×Dic43—81no—
765C2×Dic43—81no—
766C2×Dic43—81no—
767C2×Dic43C22×D411yescharacteristic
768C2×Dic43C22×D411yescharacteristic
769C2×Dic43C22×D411yescharacteristic
770C2×Dic43C22×D411yescharacteristic
771C2×Dic43C22×D411yescharacteristic
772C2×Dic43C22×D411yescharacteristic
773D172—21no—
774D172—21no—
775D172—21no—
776D172—21no—
777D172—41no—
778D172—42no—
779D172—42no—
780D172—81no—
781D172—81no—
782D172C2×#4112yes—
783D172C2×#4112yes—
784C4×D43—21no—
785C4×D43—21no—
786C4×D43—21no—
787C4×D43—21no—
788C4×D43—42no—
789C4×D43—42no—
790C4×D43—42no—
791C4×D43—42no—
792C4×D43—81no—
793C4×D43—81no—
794C4×D43—81no—
795C4×D43—81no—
796C4×D43—81no—
797C4×D43—81no—
798C4×D43—81no—
799C4×D43—81no—
800C4×D43—81no—
801Dic86—21no—
802Dic86—21no—
803Dic86—41no—
804Dic86—81no—
805C8×C43—21no—
806C8×C43—21no—
807C8×C43—21no—
808C8×C43C2×#4112yes—
809C43⋊C8—21no—
810C43⋊C8—21no—
811C43⋊C8—21no—
812C43⋊C8—21no—
813#61506—431nomaximal, Sylow
814C22×C43—21no—
815C22×C43—21no—
816C22×C43—21no—
817C22×C43—41no—
818C22×C43—41no—
819C22×C43—41no—
820C22×C43—41no—
821C22×C43—41no—
822C22×C43—41no—
823C22×C43—41no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43C23×D411yescharacteristic
827C2×D43—21no—
828C2×D43—21no—
829C2×D43—21no—
830C2×D43—21no—
831C2×D43—22no—
832C2×D43—22no—
833C2×D43—21no—
834C2×D43—21no—
835C2×D43—41no—
836C2×D43—41no—
837C2×D43—41no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—84no—
843C2×D43—162no—
844C2×D43—162no—
845C2×D43—162no—
846C4×C43—21no—
847C4×C43—21no—
848C4×C43—21no—
849C4×C43—21no—
850C4×C43—21no—
851C4×C43—41no—
852C4×C43—41no—
853C4×C43—41no—
854C4×C43—41no—
855C4×C43—41no—
856C4×C43C22×#4111yescharacteristic
857C4×C43#58511yescharacteristic
858Dic43—21no—
859Dic43—21no—
860Dic43—21no—
861Dic43—21no—
862Dic43—21no—
863Dic43—21no—
864Dic43—41no—
865Dic43—41no—
866Dic43—41no—
867Dic43—41no—
868Dic43—41no—
869#3521—431no—
870#3519—431no—
871#3397—431no—
872#3389—431no—
873#3376—431no—
874#3366—431no—
875#3355—431no—
876#3350—431no—
877#3348—431no—
878#3324—431no—
879#3322—431no—
880#3319—431no—
881#3318—431no—
882#3310—431no—
883#3307—431no—
884#3272—431no—
885#3264—431no—
886#3264—431no—
887#3179—431no—
888#3174—431no—
889#3171D4311yescharacteristic, complemented
890#3123—431no—
891#3122—431no—
892#3119—431no—
893#3118—431no—
894#3115—431no—
895#3114—431no—
896#2967—431no—
897#2948—431no—
898#2946—431no—
899C4×AGL(1,ℤ/8)—431no—
900C2×C43—41no—
901C2×C43—81no—
902C2×C43—81no—
903C2×C43—81no—
904C2×C43D4×#4111yescharacteristic
905C2×C43#358511yescharacteristic
906C2×C43#358511yescharacteristic
907D43—41no—
908D43—41no—
909D43—42no—
910D43—42no—
911D43—81no—
912C2×AGL(1,ℤ/8)—431no—
913C2×AGL(1,ℤ/8)—431no—
914C22×D8—431no—
915#556—431no—
916#556—431no—
917#555—431no—
918#554—431no—
919#554—431no—
920#553—431no—
921#553—431no—
922#553—431no—
923#553—861no—
924#553—861no—
925#552—431no—
926#552—861no—
927#551—861no—
928#551—861no—
929#550—431no—
930#547—431no—
931#546—431no—
932#546—431no—
933#546—861no—
934#546—861no—
935#546—861no—
936D42—431no—
937D42—431no—
938D42—431no—
939#542—431no—
940#541—431no—
941#540—431no—
942#540—431no—
943#539—861no—
944#538—861no—
945#538—861no—
946#538—861no—
947#532C2×D4311yescharacteristic, complemented
948#529—431no—
949#529—861no—
950#529C2×D4311yescharacteristic, complemented
951C2×#126—861no—
952#525—861no—
953C2×#121—861no—
954#520—431no—
955#518—431no—
956#518—431no—
957#518—431no—
958C4×#41—431no—
959C2×C4×D4—431no—
960#501—431no—
961#501C2×D4311yescharacteristic, complemented
962#499—431no—
963#496—431no—
964#496C2×D4311yescharacteristic, complemented
965#492—431no—
966#491—431no—
967#490—431no—
968#490C2×D4311yescharacteristic, complemented
969#489C2×D4311yescharacteristic, complemented
970#488—431no—
971#486—431no—
972#485—431no—
973#485—431no—
974#485—431no—
975#483—431no—
976#482—431no—
977#482—431no—
978#482—431no—
979#482—431no—
980#482—431no—
981#481—431no—
982#480—431no—
983#480—431no—
984#479—431no—
985#478—431no—
986#478—431no—
987#478—431no—
988#478—431no—
989#478—431no—
990#478—431no—
991#478—431no—
992#476—431no—
993#475—431no—
994#474—431no—
995#474—431no—
996#469—431no—
997#469C2×D4311yescharacteristic, complemented
998#469C2×D4311yescharacteristic, complemented
999#468—431no—
1000#468—431no—
1001#468—431no—
1002#468C2×D4311yescharacteristic, complemented
1003#468C2×D4311yescharacteristic, complemented
1004#466—431no—
1005#465—431no—
1006#465—431no—
1007#465—431no—
1008#463—431no—
1009#463—431no—
1010#463—431no—
1011#463—431no—
1012#461—431no—
1013#461—431no—
1014#460—431no—
1015#460—431no—
1016#459—431no—
1017#459—431no—
1018#459—431no—
1019#459—431no—
1020#450—431no—
1021#450—431no—
1022#450—431no—
1023#450—431no—
1024#449—431no—
1025#449—431no—
1026#449—431no—
1027#449—431no—
1028#447—431no—
1029#447—431no—
1030#447—431no—
1031#447—431no—
1032#446—431no—
1033#446—431no—
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442—431no—
1040#442—431no—
1041#442—431no—
1042#442—431no—
1043#440—431no—
1044#440—431no—
1045#440—431no—
1046#440—431no—
1047#440—431no—
1048#440—431no—
1049#440—431no—
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16C2×D4311yescharacteristic, complemented
1054C4×SD16C2×D4311yescharacteristic, complemented
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8—431no—
1060C4×D8C2×D4311yescharacteristic, complemented
1061C4×D8C2×D4311yescharacteristic, complemented
1062#436—431no—
1063#436—431no—
1064#435—431no—
1065#435—431no—
1066#435—431no—
1067#435—431no—
1068#433—431no—
1069#433—431no—
1070#432—431no—
1071#428—431no—
1072#428—431no—
1073#427—431no—
1074#418—431no—
1075#418—431no—
1076#418—431no—
1077#417—431no—
1078#416—431no—
1079C2×#102—431no—
1080#405—431no—
1081#405—431no—
1082C4×M16C2×D4311yescharacteristic, complemented
1083C43#6150611yescharacteristic, complemented, Sylow
1084C2×#41—21no—
1085C2×#41—431no—
1086C2×#41—431no—
1087C2×#41—861no—
1088C22×D4—431no—
1089C22×D4—431no—
1090C22×D4—431no—
1091C22×D4—431no—
1092C22×D4—861no—
1093C22×D4—861no—
1094C22×D4—861no—
1095C23×C4—861no—
1096AGL(1,ℤ/8)—864no—
1097AGL(1,ℤ/8)—864no—
1098C2×SD16—431no—
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16—431no—
1103C2×SD16—431no—
1104C2×SD16C22×D4311yescharacteristic
1105C2×SD16C22×D4311yescharacteristic
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8—431no—
1109C2×D8—431no—
1110C2×D8—431no—
1111C2×D8—431no—
1112C2×D8—864no—
1113C2×D8C22×D4311yescharacteristic
1114C2×D8C22×D4311yescharacteristic
1115C2×M16—431no—
1116C2×M16—431no—
1117C2×M16C22×D4311yescharacteristic
1118C2×M16C22×D4311yescharacteristic
1119C22×C8—431no—
1120C22×C8—431no—
1121C4⋊Q8—431no—
1122C4⋊Q8—431no—
1123C4⋊Q8C22×D4311yescharacteristic
1124#127—431no—
1125#127—431no—
1126#127C22×D4311yescharacteristic
1127#126—21no—
1128#126—431no—
1129#126—431no—
1130#126—861no—
1131#126—861no—
1132#126—861no—
1133#126—861no—
1134#126—861no—
1135#126—861no—
1136#126—861no—
1137#126—861no—
1138#126—861no—
1139#126—861no—
1140#126—861no—
1141#125—431no—
1142#125—431no—
1143#125—431no—
1144#125—431no—
1145#125—861no—
1146#125—861no—
1147#125—861no—
1148#125C22×D4311yescharacteristic
1149#124—21no—
1150#124—431no—
1151#124—431no—
1152#124—861no—
1153#124—861no—
1154#124—861no—
1155#124—861no—
1156#124C22×D4311yescharacteristic
1157#123—21no—
1158#123—431no—
1159#123—431no—
1160#123—861no—
1161#123—861no—
1162#123—861no—
1163#123—861no—
1164#123—861no—
1165#123—861no—
1166#123—861no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170#123—861no—
1171#123—861no—
1172#123—861no—
1173C22⋊Q8—431no—
1174C22⋊Q8—431no—
1175C22⋊Q8—431no—
1176C22⋊Q8—431no—
1177C22⋊Q8—861no—
1178C22⋊Q8—861no—
1179C22⋊Q8—861no—
1180C22⋊Q8—861no—
1181C22⋊Q8—861no—
1182C22⋊Q8—861no—
1183C22⋊Q8—861no—
1184C22⋊Q8—861no—
1185C22⋊Q8C22×D4311yescharacteristic
1186#121—21no—
1187#121—431no—
1188#121—431no—
1189#121—431no—
1190#121—431no—
1191#121—431no—
1192#121—431no—
1193#121—861no—
1194#121—861no—
1195#121—861no—
1196#121—861no—
1197#121—861no—
1198#121—861no—
1199#121—861no—
1200#121—861no—
1201#121—861no—
1202#121—861no—
1203#121—861no—
1204#121—861no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#121—861no—
1210#121C22×D4311yescharacteristic
1211#121C22×D4311yescharacteristic
1212#121C22×D4311yescharacteristic
1213#120—861no—
1214#120—861no—
1215#120—861no—
1216#120—861no—
1217#120—861no—
1218#120—861no—
1219#120—861no—
1220#120—861no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—431no—
1225C4×Q8—861no—
1226C4×Q8C22×D4311yescharacteristic
1227C4×D4—21no—
1228C4×D4—21no—
1229C4×D4—431no—
1230C4×D4—431no—
1231C4×D4—431no—
1232C4×D4—431no—
1233C4×D4—431no—
1234C4×D4—431no—
1235C4×D4—431no—
1236C4×D4—431no—
1237C4×D4—431no—
1238C4×D4—431no—
1239C4×D4—431no—
1240C4×D4—431no—
1241C4×D4—431no—
1242C4×D4—431no—
1243C4×D4—431no—
1244C4×D4—431no—
1245C4×D4—861no—
1246C4×D4—861no—
1247C4×D4—861no—
1248C4×D4—861no—
1249C4×D4—861no—
1250C4×D4—861no—
1251C4×D4—861no—
1252C4×D4—861no—
1253C4×D4—861no—
1254C4×D4—861no—
1255C4×D4—861no—
1256C4×D4—861no—
1257C4×D4—861no—
1258C4×D4—861no—
1259C4×D4—861no—
1260C4×D4C22×D4311yescharacteristic
1261C4×D4C22×D4311yescharacteristic
1262C4×D4C22×D4311yescharacteristic
1263#117—21no—
1264#117—431no—
1265#117—431no—
1266#117—431no—
1267#117—431no—
1268#117—431no—
1269#117—431no—
1270#117—861no—
1271#117—861no—
1272#117—861no—
1273#117—861no—
1274#117—861no—
1275C2×C4⋊C4—431no—
1276C2×C4⋊C4—431no—
1277C2×C4⋊C4—861no—
1278C2×C4⋊C4—861no—
1279C2×C4⋊C4—861no—
1280C2×C4⋊C4—861no—
1281C2×C22⋊C4—861no—
1282C2×C22⋊C4—861no—
1283C2×C22⋊C4—861no—
1284C2×C22⋊C4—861no—
1285C2×C22⋊C4—861no—
1286C2×C22⋊C4—861no—
1287C2×C22⋊C4—861no—
1288C2×C22⋊C4—861no—
1289C2×C22⋊C4—861no—
1290C2×C42—861no—
1291C2×C42C22×D4311yescharacteristic
1292#107—431no—
1293#107—431no—
1294#107—431no—
1295#107—431no—
1296#107—431no—
1297#107—431no—
1298#107C22×D4311yescharacteristic
1299#107C22×D4311yescharacteristic
1300#106—431no—
1301#106—431no—
1302#106—431no—
1303#106—431no—
1304#106—431no—
1305#106—431no—
1306#106C22×D4311yescharacteristic
1307#106C22×D4311yescharacteristic
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8—431no—
1311C4⋊C8—431no—
1312C4⋊C8—431no—
1313C4⋊C8—431no—
1314#103—431no—
1315#103—431no—
1316#103—431no—
1317#103—431no—
1318#103—431no—
1319#103—431no—
1320#103C22×D4311yescharacteristic
1321#103C22×D4311yescharacteristic
1322#102—431no—
1323#102—431no—
1324#102—431no—
1325#102—431no—
1326#102—431no—
1327#102—431no—
1328#102—431no—
1329#102—431no—
1330#102—431no—
1331#102—431no—
1332#102—431no—
1333#102—431no—
1334#102—431no—
1335#102—431no—
1336#102—431no—
1337#102—431no—
1338#102—431no—
1339#102—431no—
1340#102C22×D4311yescharacteristic
1341#102C22×D4311yescharacteristic
1342#102C22×D4311yescharacteristic
1343#102C22×D4311yescharacteristic
1344#102C22×D4311yescharacteristic
1345#102C22×D4311yescharacteristic
1346C22⋊C8—431no—
1347C22⋊C8—431no—
1348C22⋊C8—431no—
1349C22⋊C8—431no—
1350C22⋊C8—431no—
1351C22⋊C8—431no—
1352#97—431no—
1353#97—431no—
1354#97—431no—
1355#97—431no—
1356#97C22×D4311yescharacteristic
1357#97C22×D4311yescharacteristic
1358C4×C8—431no—
1359C4×C8—431no—
1360C4×C8C22×D4311yescharacteristic
1361C4×C8C22×D4311yescharacteristic
1362C24—861no—
1363C24—861no—
1364C24—861no—
1365C24—861no—
1366#41—82no—
1367#41—862no—
1368#41—862no—
1369#41—3442no—
1370#41—1721no—
1371#41—1721no—
1372C2×Q8—21no—
1373C2×Q8—431no—
1374C2×Q8—431no—
1375C2×Q8—861no—
1376C2×Q8C23×D4311yescharacteristic
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—431no—
1383C2×D4—431no—
1384C2×D4—431no—
1385C2×D4—431no—
1386C2×D4—431no—
1387C2×D4—431no—
1388C2×D4—862no—
1389C2×D4—861no—
1390C2×D4—861no—
1391C2×D4—861no—
1392C2×D4—861no—
1393C2×D4—861no—
1394C2×D4—861no—
1395C2×D4—861no—
1396C2×D4—861no—
1397C2×D4—861no—
1398C2×D4—861no—
1399C2×D4—862no—
1400C2×D4—862no—
1401C2×D4—862no—
1402C2×D4—861no—
1403C2×D4—861no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—3442no—
1408C2×D4—3442no—
1409C2×D4—3442no—
1410C2×D4—1721no—
1411C2×D4—1721no—
1412C2×D4—1721no—
1413C2×D4—1721no—
1414C2×D4C23×D4311yescharacteristic
1415C2×D4C23×D4311yescharacteristic
1416C2×D4C23×D4311yescharacteristic
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—431no—
1421C22×C4—431no—
1422C22×C4—861no—
1423C22×C4—861no—
1424C22×C4—861no—
1425C22×C4—861no—
1426C22×C4—861no—
1427C22×C4—861no—
1428C22×C4—861no—
1429C22×C4—861no—
1430C22×C4—861no—
1431C22×C4—861no—
1432C22×C4—861no—
1433C22×C4—861no—
1434C22×C4—861no—
1435C22×C4—861no—
1436C22×C4—861no—
1437C22×C4—861no—
1438C22×C4—861no—
1439C22×C4—3442no—
1440C22×C4D4×D4311yescharacteristic
1441C22×C4D4×D4311yescharacteristic
1442C22×C4C23×D4311yescharacteristic
1443SD16—22no—
1444SD16—41no—
1445SD16—862no—
1446SD16—862no—
1447SD16—862no—
1448SD16—1721no—
1449SD16—1721no—
1450SD16—1721no—
1451D8—22no—
1452D8—41no—
1453D8—434no—
1454D8—862no—
1455D8—862no—
1456D8—862no—
1457D8—862no—
1458D8—1721no—
1459M16—22no—
1460M16—41no—
1461M16—862no—
1462M16—1721no—
1463C2×C8—431no—
1464C2×C8—431no—
1465C2×C8—431no—
1466C2×C8—431no—
1467C2×C8—862no—
1468C2×C8—1721no—
1469C2×C8C23×D4311yescharacteristic
1470C2×C8C23×D4311yescharacteristic
1471C2×C8C23×D4311yescharacteristic
1472C2×C8C23×D4311yescharacteristic
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—431no—
1479C4⋊C4—431no—
1480C4⋊C4—431no—
1481C4⋊C4—431no—
1482C4⋊C4—431no—
1483C4⋊C4—431no—
1484C4⋊C4—431no—
1485C4⋊C4—431no—
1486C4⋊C4—431no—
1487C4⋊C4—431no—
1488C4⋊C4—431no—
1489C4⋊C4—431no—
1490C4⋊C4—431no—
1491C4⋊C4—431no—
1492C4⋊C4—861no—
1493C4⋊C4—861no—
1494C4⋊C4—861no—
1495C4⋊C4—861no—
1496C4⋊C4—861no—
1497C4⋊C4—861no—
1498C4⋊C4—861no—
1499C4⋊C4—861no—
1500C4⋊C4—861no—
1501C4⋊C4—861no—
1502C4⋊C4—861no—
1503C4⋊C4—861no—
1504C4⋊C4—861no—
1505C4⋊C4—861no—
1506C4⋊C4—861no—
1507C4⋊C4—861no—
1508C4⋊C4—861no—
1509C4⋊C4C23×D4311yescharacteristic
1510C4⋊C4C23×D4311yescharacteristic
1511C4⋊C4C23×D4311yescharacteristic
1512C4⋊C4C23×D4311yescharacteristic
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—431no—
1523C22⋊C4—431no—
1524C22⋊C4—431no—
1525C22⋊C4—431no—
1526C22⋊C4—431no—
1527C22⋊C4—431no—
1528C22⋊C4—431no—
1529C22⋊C4—431no—
1530C22⋊C4—431no—
1531C22⋊C4—431no—
1532C22⋊C4—861no—
1533C22⋊C4—861no—
1534C22⋊C4—861no—
1535C22⋊C4—861no—
1536C22⋊C4—861no—
1537C22⋊C4—861no—
1538C22⋊C4—861no—
1539C22⋊C4—861no—
1540C22⋊C4—861no—
1541C22⋊C4—861no—
1542C22⋊C4—861no—
1543C22⋊C4—861no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4—861no—
1547C22⋊C4—861no—
1548C22⋊C4—861no—
1549C22⋊C4—861no—
1550C22⋊C4—861no—
1551C22⋊C4—861no—
1552C22⋊C4—861no—
1553C22⋊C4—861no—
1554C22⋊C4—861no—
1555C22⋊C4—861no—
1556C22⋊C4—861no—
1557C22⋊C4—861no—
1558C22⋊C4—861no—
1559C42—21no—
1560C42—431no—
1561C42—431no—
1562C42—861no—
1563C42—861no—
1564C42—861no—
1565C42—861no—
1566C42—861no—
1567C42—861no—
1568C42—861no—
1569C42D4×D4311yescharacteristic
1570C42D4×D4311yescharacteristic
1571C42C23×D4311yescharacteristic
1572C42C23×D4311yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—431no—
1577C23—431no—
1578C23—861no—
1579C23—861no—
1580C23—861no—
1581C23—3441no—
1582C23—3441no—
1583C23—3441no—
1584C23—3441no—
1585C23—3441no—
1586C23—3441no—
1587C23—3441no—
1588C23—1722no—
1589C23—1722no—
1590C23—1722no—
1591C23—1722no—
1592C23—1722no—
1593C23C2×D4×D4311yescharacteristic
1594Q8—21no—
1595Q8—21no—
1596Q8—81no—
1597Q8—861no—
1598Q8—861no—
1599Q8—3441no—
1600Q8—1721no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—21no—
1607D4—42no—
1608D4—42no—
1609D4—42no—
1610D4—81no—
1611D4—81no—
1612D4—432no—
1613D4—432no—
1614D4—861no—
1615D4—861no—
1616D4—861no—
1617D4—861no—
1618D4—3441no—
1619D4—3441no—
1620D4—3441no—
1621D4—3441no—
1622D4—3441no—
1623D4—3441no—
1624D4—3441no—
1625D4—3441no—
1626D4—3441no—
1627D4—1721no—
1628D4—1722no—
1629D4—1722no—
1630D4—1721no—
1631D4—1721no—
1632D4—1722no—
1633D4—1722no—
1634D4—1722no—
1635D4—1722no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—41no—
1644C2×C4—41no—
1645C2×C4—81no—
1646C2×C4—81no—
1647C2×C4—81no—
1648C2×C4—431no—
1649C2×C4—431no—
1650C2×C4—431no—
1651C2×C4—431no—
1652C2×C4—431no—
1653C2×C4—431no—
1654C2×C4—861no—
1655C2×C4—861no—
1656C2×C4—861no—
1657C2×C4—861no—
1658C2×C4—861no—
1659C2×C4—861no—
1660C2×C4—861no—
1661C2×C4—861no—
1662C2×C4—861no—
1663C2×C4—3441no—
1664C2×C4—3441no—
1665C2×C4—3441no—
1666C2×C4—3441no—
1667C2×C4—3441no—
1668C2×C4—3441no—
1669C2×C4—3441no—
1670C2×C4—3441no—
1671C2×C4—3441no—
1672C2×C4—3441no—
1673C2×C4—3441no—
1674C2×C4—3441no—
1675C2×C4—3441no—
1676C2×C4—1722no—
1677C2×C4—1722no—
1678C2×C4—1722no—
1679C2×C4—1722no—
1680C2×C4C2×D4×D4311yescharacteristic
1681C2×C4C2×D4×D4311yescharacteristic
1682C2×C4C2×D4×D4311yescharacteristic
1683C2×C4C2×D4×D4311yescharacteristic
1684C2×C4C2×D4×D4311yescharacteristic
1685C2×C4C24×D4311yescharacteristic
1686C8—21no—
1687C8—21no—
1688C8—21no—
1689C8—861no—
1690C8—861no—
1691C8—861no—
1692C8—861no—
1693C8#41×D4312yes—
1694C22—21no—
1695C22—21no—
1696C22—21no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—861no—
1707C22—861no—
1708C22—862no—
1709C22—862no—
1710C22—861no—
1711C22—861no—
1712C22—861no—
1713C22—861no—
1714C22—3444no—
1715C22—1721no—
1716C22—1721no—
1717C22—1721no—
1718C22—1721no—
1719C22—1721no—
1720C22—1721no—
1721C22—1721no—
1722C22—6882no—
1723C22—6882no—
1724C22—6882no—
1725C22C22×D4×D4311yescharacteristic
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—861no—
1737C4—861no—
1738C4—861no—
1739C4—861no—
1740C4—861no—
1741C4—861no—
1742C4—1721no—
1743C4—1721no—
1744C4—1721no—
1745C4—1721no—
1746C4—1721no—
1747C4C2×#41×D4311yescharacteristic
1748C4#1458373511yescharacteristic
1749C2—41no—
1750C2—81no—
1751C2—81no—
1752C2—81no—
1753C2—3441no—
1754C2—1721no—
1755C2—1721no—
1756C2—1722no—
1757C2—1722no—
1758C2#1914808111yescharacteristic
1759C2#1914937111yescharacteristic
1760C2#1914937211yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3171C2
socleC22×C43C23×D4
hypercenter#3171D43
hypocenterC43#61506
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3171

Complements

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

NH ≅ G/Ntype
1. #19148657C2semidirect
2. #19148622C2semidirect
3. #19147612C2semidirect
4. #19147550C2semidirect
5. #19147421C2semidirect
6. #19147299C2semidirect
7. #19147196C2semidirect
8. #19147135C2semidirect
9. #19147109C2semidirect
10. #19146821C2semidirect
11. #19146791C2semidirect
12. #19146750C2semidirect
13. #19146731C2semidirect
14. #19146615C2semidirect
15. #19146566C2semidirect
16. #19146192C2semidirect
17. #19146082C2semidirect
18. #19146074C2semidirect
19. #19145282C2semidirect
20. #19145219C2semidirect
21. #19144844C2semidirect
22. #19144835C2semidirect
23. #19144800C2semidirect
24. #19144775C2semidirect
25. #19144740C2semidirect
26. #19144729C2semidirect
27. #19143580C2semidirect
28. #19143442C2semidirect
29. #19143422C2semidirect
30. C4×#13063353C2semidirect
31. C43×#3171C2semidirect
35. #14583620C22semidirect
36. #14583618C22semidirect
38. #14583610C22semidirect
39. #14583605C22semidirect
41. #14583601C22semidirect
44. #14583596C22semidirect
46. #14583587C22semidirect
49. #14583569C22semidirect
50. #14583551C22semidirect
51. #14583546C22semidirect
53. #14583542C22semidirect
58. #14583533C22semidirect
59. #14583514C22semidirect
60. #14583507C22semidirect
62. #14583500C22semidirect
72. #14583381C22semidirect
74. #14583371C22semidirect
75. #14583371C22semidirect
76. C4×#10621898C22semidirect
77. C2×C4×D172C22semidirect
78. #14583307C22semidirect
79. #14583299C22semidirect
80. #14583287C22semidirect
81. #14583270C22semidirect
82. #14583266C22semidirect
83. #14583262C22semidirect
84. #14583252C22semidirect
85. #14583244C22semidirect
86. #14583243C22semidirect
87. #14583242C22semidirect
88. #14583238C22semidirect
89. #14583227C22semidirect
90. #14583226C22semidirect
91. #14583222C22semidirect
92. #14583221C22semidirect
93. #14583220C22semidirect
94. #14583220C22semidirect
95. #14583219C22semidirect
96. #14583211C22semidirect
97. #14583210C22semidirect
98. #14583208C22semidirect
99. #14583202C22semidirect
100. #14583201C22semidirect
101. #14583198C22semidirect
102. #14583198C22semidirect
103. #14583197C22semidirect
104. #14583196C22semidirect
105. #14583196C22semidirect
106. #14583187C22semidirect
107. #14583181C22semidirect
108. #14583178C22semidirect
109. #14583176C22semidirect
110. #14583149C22semidirect
111. #14583148C22semidirect
112. #14583146C22semidirect
113. #14583144C22semidirect
114. #14583134C22semidirect
115. #14583129C22semidirect
116. #14583127C22semidirect
117. #14583125C22semidirect
119. #14583112C22semidirect
121. #14583111C22semidirect
122. #14583103C22semidirect
123. #14583102C22semidirect
124. #14583097C22semidirect
125. #14583096C22semidirect
126. #14583093C22semidirect
127. #14583093C22semidirect
128. #14583092C22semidirect
129. #14583091C22semidirect
131. #14583051C22semidirect
132. #14583049C22semidirect
134. #14583047C22semidirect
135. #14583043C22semidirect
136. #14583042C22semidirect
137. #14583042C22semidirect
138. #14583034C22semidirect
141. #14583031C22semidirect
142. #14583027C22semidirect
143. #14583027C22semidirect
145. #14583012C22semidirect
148. #14583009C22semidirect
149. #14583009C22semidirect
150. #14583009C22semidirect
152. #14583008C22semidirect
153. #14583001C22semidirect
154. #14583001C22semidirect
155. #14583000C22semidirect
156. #14582999C22semidirect
157. #14582999C22semidirect
158. #14582997C22semidirect
159. #14582997C22semidirect
160. C4×#10621873C22semidirect
161. C4×#10621873C22semidirect
162. #14582984C22semidirect
164. C4×D344C22semidirect
165. D8×Dic43C22semidirect
167. #14582979C22semidirect
168. #14582975C22semidirect
169. #14582975C22semidirect
170. #14582972C22semidirect
171. #14582972C22semidirect
172. #14582968C22semidirect
173. #14582968C22semidirect
174. #14582958C22semidirect
175. #14582958C22semidirect
176. #14582956C22semidirect
177. #14582941C22semidirect
178. #14582938C22semidirect
179. #14582936C22semidirect
180. #14582905C22semidirect
182. #14582902C22semidirect
183. #14582901C22semidirect
184. #14582894C22semidirect
185. #102×D43C22semidirect
186. #14582853C22semidirect
187. #14582853C22semidirect
188. C43×#532C22semidirect
189. C43×#529C22semidirect
190. C43×#501C22semidirect
191. C43×#496C22semidirect
192. C43×#490C22semidirect
193. C43×#489C22semidirect
194. C43×#469C22semidirect
195. C43×#469C22semidirect
196. C43×#468C22semidirect
197. C43×#468C22semidirect
198. C4×SD16×C43C22semidirect
199. C4×SD16×C43C22semidirect
200. C4×D8×C43C22semidirect
201. C4×D8×C43C22semidirect
202. C4×M16×C43C22semidirect
685. D344#41semidirect
889. #3171D43semidirect
947. #532C2×D43semidirect
950. #529C2×D43semidirect
961. #501C2×D43semidirect
964. #496C2×D43semidirect
968. #490C2×D43semidirect
969. #489C2×D43semidirect
997. #469C2×D43semidirect
998. #469C2×D43semidirect
1002. #468C2×D43semidirect
1003. #468C2×D43semidirect
1053. C4×SD16C2×D43semidirect
1054. C4×SD16C2×D43semidirect
1060. C4×D8C2×D43semidirect
1061. C4×D8C2×D43semidirect
1082. C4×M16C2×D43semidirect
1083. C43#61506semidirect

Maximal subgroups

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

subgroupindex
#191486572
#191486222
#191476122
#191475502
#191474212
#191472992
#191471962
#191471352
#191471092
#191468212
#191467912
#191467502
#191467312
#191466152
#191465662
#191461922
#191460822
#191460742
#191452822
#191452192
#191448442
#191448352
#191448002
#191447752
#191447402
#191447292
#191435802
#191434422
#191434222
C4×#130633532
C43×#31712
#6150643