Finite Group Databasebeta

← #25967618

Subgroups — #25967618

Order 11008.

2208 conjugacy classes of subgroups.

The subgroup lattice has 1972 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148256C211yesmaximal, characteristic, complemented
2#19147925C211yesmaximal, characteristic, complemented
3#19145480C211yesmaximal, characteristic, complemented
4#19145476C211yesmaximal, characteristic, complemented
5#19145466C211yesmaximal, characteristic, complemented
6#19145461C211yesmaximal, characteristic, complemented
7#19145459C211yesmaximal, characteristic, complemented
8#19145455C211yesmaximal, characteristic, complemented
9#19145450C211yesmaximal, characteristic, complemented
10#19145446C211yesmaximal, characteristic, complemented
11#19145439C211yesmaximal, characteristic, complemented
12#19145432C211yesmaximal, characteristic, complemented
13#19145407C211yesmaximal, characteristic, complemented
14#19145405C211yesmaximal, characteristic, complemented
15#19145387C211yesmaximal, characteristic, complemented
16#19145364C211yesmaximal, characteristic, complemented
17#19145362C211yesmaximal, characteristic, complemented
18#19144581C211yesmaximal, characteristic, complemented
19#19144570C211yesmaximal, characteristic, complemented
20#19144527C211yesmaximal, characteristic, complemented
21#482×D43C211yesmaximal, characteristic, complemented
22#19144274C211yesmaximal, characteristic, complemented
23#19144268C211yesmaximal, characteristic, complemented
24#19144266C211yesmaximal, characteristic, complemented
25#19144252C211yesmaximal, characteristic, complemented
26#19143903C211yesmaximal, characteristic, complemented
27#19143897C211yesmaximal, characteristic, complemented
28#19143844C211yesmaximal, characteristic, complemented
29#19143816C211yesmaximal, characteristic, complemented
30#19143041C211yesmaximal, characteristic, complemented
31C43×#3191C211yesmaximal, characteristic, complemented
32C2×#13063371C2211yescharacteristic, complemented
33C22×#10621898C2211yescharacteristic
34C2×#41×D43C2211yescharacteristic, complemented
35C2×#13063352C2211yescharacteristic, complemented
36C2×#13063349C2211yescharacteristic, complemented
37C2×#13063348C2211yescharacteristic, complemented
38C2×#13063346C2211yescharacteristic, complemented
39C2×#13063331C2211yescharacteristic, complemented
40C2×#13063331C2211yescharacteristic, complemented
41#14583570—21no—
42#14583558—21no—
43#14583545—21no—
44#14583541—21no—
45#14583541—21no—
46D4×D172—21no—
47#14583531—21no—
48#14583531—21no—
49#14583479C2211yescharacteristic
50#14583479C2211yescharacteristic
51#14583479C2211yescharacteristic, complemented
52#14583479C2211yescharacteristic, complemented
53#14583478C2211yescharacteristic
54#14583478C2211yescharacteristic, complemented
55#14583477C2211yescharacteristic
56#14583472C2211yescharacteristic, complemented
57#14583472C2211yescharacteristic, complemented
58#14583471—21no—
59#14583468C2211yescharacteristic
60#14583465C2211yescharacteristic
61#14583465C2211yescharacteristic, complemented
62#14583465C2211yescharacteristic, complemented
63#14583465C2211yescharacteristic, complemented
64#14583464—21no—
65#14583460—21no—
66#14583459—21no—
67#14583446—21no—
68#14583446—21no—
69#14583412C2211yescharacteristic
70#14583412C2211yescharacteristic, complemented
71#14583411C2211yescharacteristic, complemented
72#14583410C2211yescharacteristic, complemented
73#14583408—21no—
74#14583408—21no—
75#14583406C2211yescharacteristic, complemented
76C2×#13063299C2211yescharacteristic, complemented
77#121×D43C2211yescharacteristic
78#121×D43C2211yescharacteristic, complemented
79#14583379C2211yescharacteristic, complemented
80#117×D43C2211yescharacteristic, complemented
81#14583243C2211yescharacteristic, complemented
82#14583240C2211yescharacteristic, complemented
83#14583239C2211yescharacteristic, complemented
84#14583238C2211yescharacteristic, complemented
85#14583238C2211yescharacteristic, complemented
86#14583237C2211yescharacteristic, complemented
87#14583236C2211yescharacteristic, complemented
88#14583235C2211yescharacteristic, complemented
89#14583228C2211yescharacteristic, complemented
90#14583227C2211yescharacteristic, complemented
91#14583226C2211yescharacteristic, complemented
92#14583226C2211yescharacteristic, complemented
93#14583226C2211yescharacteristic, complemented
94#14583225C2211yescharacteristic, complemented
95#14583225C2211yescharacteristic, complemented
96#14583224C2211yescharacteristic, complemented
97#14583224C2211yescharacteristic, complemented
98#14583223C2211yescharacteristic, complemented
99#14583223C2211yescharacteristic, complemented
100#14583223C2211yescharacteristic, complemented
101#14583222C2211yescharacteristic, complemented
102#14583221C2211yescharacteristic, complemented
103#14583221C2211yescharacteristic, complemented
104#14583220C2211yescharacteristic, complemented
105#14583219C2211yescharacteristic, complemented
106#14583218C2211yescharacteristic, complemented
107#14583211C2211yescharacteristic, complemented
108#14583210C2211yescharacteristic, complemented
109#14583156C2211yescharacteristic, complemented
110#14583155C2211yescharacteristic, complemented
111#14583153C2211yescharacteristic, complemented
112#14583151C2211yescharacteristic, complemented
113#14583150C2211yescharacteristic, complemented
114#14583150C2211yescharacteristic, complemented
115#14583150C2211yescharacteristic, complemented
116#14583149C2211yescharacteristic, complemented
117#14583148C2211yescharacteristic, complemented
118#14583148C2211yescharacteristic, complemented
119#14583147C2211yescharacteristic, complemented
120#14583147C2211yescharacteristic, complemented
121#14583147C2211yescharacteristic, complemented
122#14583146C2211yescharacteristic, complemented
123#14583143C2211yescharacteristic, complemented
124#14583142C2211yescharacteristic, complemented
125#14583137C2211yescharacteristic, complemented
126#14583136C2211yescharacteristic, complemented
127#14583135C2211yescharacteristic, complemented
128#14583135C2211yescharacteristic, complemented
129#14583134C2211yescharacteristic, complemented
130#14583134C2211yescharacteristic, complemented
131#14583131C2211yescharacteristic, complemented
132#14583129C2211yescharacteristic, complemented
133#14583128C2211yescharacteristic, complemented
134#14583128C2211yescharacteristic, complemented
135#14583127C2211yescharacteristic, complemented
136#14583125C2211yescharacteristic, complemented
137#14583064C2211yescharacteristic, complemented
138#14583061C2211yescharacteristic, complemented
139#14583060C2211yescharacteristic, complemented
140#14583059C2211yescharacteristic, complemented
141#14583053C2211yescharacteristic, complemented
142#14583052C2211yescharacteristic, complemented
143#14583051C2211yescharacteristic, complemented
144#14583049C2211yescharacteristic, complemented
145#14583048C2211yescharacteristic, complemented
146#14583048C2211yescharacteristic, complemented
147#14583047C2211yescharacteristic, complemented
148#14583046C2211yescharacteristic, complemented
149#14583046C2211yescharacteristic, complemented
150#14583044C2211yescharacteristic, complemented
151#14583044C2211yescharacteristic, complemented
152#14583044C2211yescharacteristic, complemented
153#14583043C2211yescharacteristic, complemented
154#14583042C2211yescharacteristic, complemented
155#14583039C2211yescharacteristic, complemented
156#14583039C2211yescharacteristic, complemented
157#14583036C2211yescharacteristic, complemented
158#14583035C2211yescharacteristic, complemented
159#14583034C2211yescharacteristic, complemented
160#14583034C2211yescharacteristic, complemented
161#14583034C2211yescharacteristic, complemented
162#14583032C2211yescharacteristic, complemented
163#14583031C2211yescharacteristic, complemented
164#14583031C2211yescharacteristic, complemented
165#14582940C2211yescharacteristic, complemented
166#14582938C2211yescharacteristic, complemented
167#107×D43C2211yescharacteristic, complemented
168#106×D43C2211yescharacteristic, complemented
169#14582899C2211yescharacteristic, complemented
170#14582899C2211yescharacteristic, complemented
171#14582899C2211yescharacteristic, complemented
172#14582897C2211yescharacteristic, complemented
173#14582894C2211yescharacteristic, complemented
174#14582892C2211yescharacteristic, complemented
175#102×D43C2211yescharacteristic, complemented
176#102×D43C2211yescharacteristic, complemented
177#14582865C2211yescharacteristic, complemented
178#14582865C2211yescharacteristic, complemented
179#14582864C2211yescharacteristic, complemented
180#14582864C2211yescharacteristic, complemented
181#14582864C2211yescharacteristic, complemented
182#14582864C2211yescharacteristic, complemented
183#14582863C2211yescharacteristic, complemented
184#14582861C2211yescharacteristic, complemented
185#14582861C2211yescharacteristic, complemented
186C22⋊C8×D43C2211yescharacteristic, complemented
187C22⋊C8×D43C2211yescharacteristic, complemented
188C43×#525C2211yescharacteristic, complemented
189C43×#525C2211yescharacteristic, complemented
190C43×#485C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#482C2211yescharacteristic, complemented
193C43×#482C2211yescharacteristic, complemented
194C43×#467C2211yescharacteristic, complemented
195C43×#466C2211yescharacteristic, complemented
196C43×#465C2211yescharacteristic, complemented
197C43×#465C2211yescharacteristic, complemented
198C43×#452C2211yescharacteristic, complemented
199C43×#452C2211yescharacteristic, complemented
200C43×#449C2211yescharacteristic, complemented
201C43×#449C2211yescharacteristic, complemented
202C2×C22⋊C8×C43C2211yescharacteristic, complemented
203#13063371—42no—
204#13063371—42no—
205C2×#10621902C2311yescharacteristic
206C2×#10621902C2311yescharacteristic
207C2×#10621902C2311yescharacteristic
208C2×#10621898—21no—
209C2×#10621898—21no—
210C2×#10621898—42no—
211C2×#10621898—42no—
212C2×#10621898D411yescharacteristic
213C2×#10621898D411yescharacteristic
214C2×#10621898D411yescharacteristic
215C2×#10621898D411yescharacteristic
216C2×#10621898C2311yescharacteristic
217C2×#10621898C2311yescharacteristic
218C2×#10621898C2311yescharacteristic
219C2×#10621898C2311yescharacteristic
220C2×#10621898C2311yescharacteristic
221C2×#10621900—21no—
222C2×#10621900C2311yescharacteristic
223#41×D43—42no—
224#41×D43—42no—
225C22×Dic86D411yescharacteristic
226C2×Q8×D43C2311yescharacteristic
227C22×D172—21no—
228C22×D172D411yescharacteristic
229C22×D172C2311yescharacteristic
230C22×C22⋊D43—21no—
231C22×C22⋊D43D411yescharacteristic
232C22×C22⋊D43D411yescharacteristic
233C2×D4×D43—21no—
234C2×D4×D43—21no—
235C2×D4×D43—21no—
236C2×D4×D43—21no—
237C2×D4×D43—21no—
238C2×D4×D43C2311yescharacteristic
239C2×D4×D43C2311yescharacteristic
240C2×D4×D43C2311yescharacteristic
241C22×C4×D43—21no—
242C22×C4×D43C2311yescharacteristic
243C22×C4×D43C2311yescharacteristic
244#13063352—42no—
245#13063349—42no—
246#13063348—42no—
247#13063346—42no—
248C2×#10621885C2311yescharacteristic
249C2×#10621873C2311yescharacteristic
250C2×#10621873C2311yescharacteristic
251C2×#10621883C2311yescharacteristic
252C2×#10621884C2311yescharacteristic
253C2×#10621884C2311yescharacteristic
254C2×#10621884C2311yescharacteristic
255C2×D344C2311yescharacteristic
256C2×D344C2311yescharacteristic
257C2×#10621882C2311yescharacteristic
258C2×#10621882C2311yescharacteristic
259C2×#10621882C2311yescharacteristic
260#13063331—42no—
261#13063331—42no—
262C2×#10621877C2311yescharacteristic
263C2×#10621877C2311yescharacteristic
264C2×#10621872C2311yescharacteristic
265C2×#10621872C2311yescharacteristic
266C2×#10621872C2311yescharacteristic
267C2×#10621872C2311yescharacteristic
268C2×C8×D43C2311yescharacteristic
269C2×C8×D43C2311yescharacteristic
270C2×C8×D43C2311yescharacteristic
271C2×C8×D43C2311yescharacteristic
272#13063324—21no—
273#13063324—21no—
274#13063322—21no—
275#13063321—21no—
276#13063321—21no—
277#13063321—21no—
278#13063321—21no—
279#13063313—21no—
280#13063311—21no—
281#13063311—21no—
282#13063311—21no—
283#13063311—21no—
284#13063311—21no—
285#13063311—21no—
286#13063310—21no—
287#13063310—21no—
288#13063310—21no—
289#13063310—21no—
290#13063309—21no—
291#13063308—21no—
292#13063307—21no—
293#13063307—21no—
294#13063306—21no—
295#13063305C2311yescharacteristic
296#13063305C2311yescharacteristic
297#13063304—21no—
298#13063304C2311yescharacteristic
299#13063304C2311yescharacteristic
300#13063303—21no—
301#13063303—21no—
302#13063303—21no—
303#13063303—21no—
304#13063302—21no—
305#13063302—21no—
306#13063301C2311yescharacteristic
307#13063301C2311yescharacteristic
308#13063301C2311yescharacteristic
309#13063301C2311yescharacteristic
310#13063300—21no—
311#13063300—21no—
312#13063300—21no—
313#13063300—21no—
314#13063300C2311yescharacteristic
315#13063300C2311yescharacteristic
316#13063300C2311yescharacteristic
317#13063300C2311yescharacteristic
318#13063300C2311yescharacteristic
319#13063300C2311yescharacteristic
320#13063299—21no—
321#13063299—21no—
322#13063299—21no—
323#13063299C2311yescharacteristic
324#13063299C2311yescharacteristic
325#13063299C2311yescharacteristic
326#13063299C2311yescharacteristic
327#13063299C2311yescharacteristic
328#13063299C2311yescharacteristic
329#13063298—21no—
330#13063298—21no—
331#13063298—21no—
332#13063298—21no—
333#13063298—21no—
334#13063298—21no—
335#13063298—21no—
336#13063298—21no—
337#13063298—21no—
338#13063298—21no—
339#13063298—21no—
340#13063298—21no—
341#13063297—21no—
342#13063297—21no—
343#13063297—21no—
344#13063297—21no—
345#13063297—21no—
346#13063297—21no—
347#13063296—21no—
348#13063296—21no—
349#13063296C2311yescharacteristic
350#13063296C2311yescharacteristic
351#13063296C2311yescharacteristic
352#13063296C2311yescharacteristic
353#13063295—21no—
354#13063295—21no—
355#13063295—21no—
356#13063295—21no—
357#13063295—21no—
358#13063295—21no—
359#13063295—21no—
360#13063295—21no—
361#13063295—21no—
362#13063294—21no—
363#13063293—21no—
364#13063293—21no—
365#13063293—21no—
366#13063293—21no—
367#13063293—21no—
368C4×Dic86—21no—
369C4×D172—21no—
370C4×D172—21no—
371C4×D172—21no—
372#13063287—21no—
373#13063287—21no—
374C4×C22⋊D43—21no—
375C4×C22⋊D43—21no—
376C4×C22⋊D43—21no—
377C4×C22⋊D43—21no—
378(C22⋊D43)⋊C4—21no—
379(C22⋊D43)⋊C4—21no—
380(C22⋊D43)⋊C4—21no—
381(C22⋊D43)⋊C4—21no—
382#13063284C2311yescharacteristic
383#13063283C2311yescharacteristic
384#13063283C2311yescharacteristic
385#13063283C2311yescharacteristic
386#13063283C2311yescharacteristic
387#13063282—21no—
388#13063281—21no—
389C2×C4⋊Dic43C2311yescharacteristic
390C4⋊C4×D43C2311yescharacteristic
391C4⋊C4×D43C2311yescharacteristic
392C4⋊C4×D43C2311yescharacteristic
393C4⋊C4×D43C2311yescharacteristic
394C2×(C2×D43)⋊C4—21no—
395C22⋊C4×D43—21no—
396C22⋊C4×D43—21no—
397C22⋊C4×D43—21no—
398C42×D43—21no—
399#13063259C2311yescharacteristic
400#13063259C2311yescharacteristic
401#13063258C2311yescharacteristic
402#13063258C2311yescharacteristic
403#13063258C2311yescharacteristic
404#13063258C2311yescharacteristic
405#13063257C2311yescharacteristic
406#13063257C2311yescharacteristic
407#13063256C2311yescharacteristic
408#13063256C2311yescharacteristic
409#13063256C2311yescharacteristic
410#13063256C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063245C2311yescharacteristic
430#13063245C2311yescharacteristic
431#13063245C2311yescharacteristic
432#13063245C2311yescharacteristic
433#13063245C2311yescharacteristic
434#13063245C2311yescharacteristic
435C22⋊(C43⋊C8)C2311yescharacteristic
436C22⋊(C43⋊C8)C2311yescharacteristic
437C22⋊(C43⋊C8)C2311yescharacteristic
438C22⋊(C43⋊C8)C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441(C2×D43)⋊C8C2311yescharacteristic
442(C2×D43)⋊C8C2311yescharacteristic
443(C2×D43)⋊C8C2311yescharacteristic
444(C2×D43)⋊C8C2311yescharacteristic
445(C2×D43)⋊C8C2311yescharacteristic
446(C2×D43)⋊C8C2311yescharacteristic
447C2×#41×C43C2311yescharacteristic
448C2×#41×C43C2311yescharacteristic
449C23×C4×C43C2311yescharacteristic
450C2×Q16×C43C2311yescharacteristic
451C2×SD16×C43C2311yescharacteristic
452C2×SD16×C43C2311yescharacteristic
453C2×D8×C43C2311yescharacteristic
454C22×C8×C43C2311yescharacteristic
455C22×C8×C43C2311yescharacteristic
456#123×C43—21no—
457#123×C43—21no—
458C22⋊Q8×C43C2311yescharacteristic
459C22⋊Q8×C43C2311yescharacteristic
460C22⋊Q8×C43C2311yescharacteristic
461C22⋊Q8×C43C2311yescharacteristic
462#121×C43C2311yescharacteristic
463#121×C43C2311yescharacteristic
464#121×C43C2311yescharacteristic
465#121×C43C2311yescharacteristic
466#120×C43—21no—
467#120×C43—21no—
468C4×D4×C43—21no—
469C4×D4×C43—21no—
470C4×D4×C43—21no—
471C4×D4×C43—21no—
472#117×C43C2311yescharacteristic
473#117×C43C2311yescharacteristic
474#107×C43C2311yescharacteristic
475#107×C43C2311yescharacteristic
476#106×C43C2311yescharacteristic
477#106×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#103×C43C2311yescharacteristic
481#103×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484#102×C43C2311yescharacteristic
485#102×C43C2311yescharacteristic
486C22⋊C8×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488C22⋊C8×C43C2311yescharacteristic
489C22⋊C8×C43C2311yescharacteristic
490C24×C43C2×D411yescharacteristic
491C23×D43—21no—
492C23×D43—21no—
493C23×D43—21no—
494C23×D43—21no—
495C23×D43C2×D411yescharacteristic
496C23×D43C2×D411yescharacteristic
497#41×C43—41no—
498#41×C43—41no—
499#41×C43—41no—
500#41×C43—41no—
501C2×Q8×C43C2411yescharacteristic
502C2×Q8×C43C2411yescharacteristic
503C2×D4×C43—21no—
504C2×D4×C43—21no—
505C2×D4×C43—21no—
506C2×D4×C43—21no—
507C2×D4×C43—21no—
508C2×D4×C43—21no—
509C2×D4×C43C2411yescharacteristic
510C2×D4×C43C2411yescharacteristic
511C22×C4×C43—21no—
512C22×C4×C43—21no—
513C22×C4×C43—41no—
514C22×C4×C43—41no—
515C22×C4×C43C2×D411yescharacteristic
516C22×C4×C43C2×D411yescharacteristic
517C22×C4×C43C2×D411yescharacteristic
518C22×C4×C43C2411yescharacteristic
519C22×C4×C43C2411yescharacteristic
520C22×C4×C43C2411yescharacteristic
521C2×C22⋊D43—21no—
522C2×C22⋊D43—21no—
523C2×C22⋊D43—21no—
524C2×C22⋊D43—21no—
525C2×C22⋊D43—21no—
526C2×C22⋊D43—21no—
527C2×C22⋊D43—21no—
528C2×C22⋊D43—21no—
529C2×C22⋊D43—21no—
530C2×C22⋊D43—21no—
531C2×C22⋊D43—21no—
532C2×C22⋊D43—21no—
533C2×C22⋊D43—21no—
534C2×C22⋊D43—21no—
535C2×C22⋊D43—21no—
536C2×C22⋊D43—42no—
537C2×C22⋊D43—42no—
538C2×C22⋊D43—82no—
539C2×C22⋊D43C2×D411yescharacteristic
540C2×C22⋊D43C2×D411yescharacteristic
541C2×C22⋊D43C2×D411yescharacteristic
542C2×C22⋊D43C2×D411yescharacteristic
543C2×C22⋊D43C2×D411yescharacteristic
544C2×C22⋊D43C2×D411yescharacteristic
545C2×C22⋊D43C2×D411yescharacteristic
546C2×C22⋊D43C2×D411yescharacteristic
547C22×Dic43—21no—
548C22×Dic43—21no—
549C22×Dic43C2×D411yescharacteristic
550C22×Dic43C2×D411yescharacteristic
551#10621902—22no—
552#10621902—22no—
553#10621902—22no—
554#10621902—22no—
555#10621902—41no—
556#10621902—41no—
557Q8×D43—41no—
558Q8×D43—41no—
559#10621900—22no—
560#10621900—22no—
561#10621900—44no—
562D4×D43—22no—
563D4×D43—22no—
564D4×D43—44no—
565D4×D43—41no—
566D4×D43—41no—
567D4×D43—41no—
568D4×D43—41no—
569D4×D43—44no—
570D4×D43—44no—
571D4×D43—82no—
572D4×D43—82no—
573#10621898—22no—
574#10621898—22no—
575#10621898—22no—
576#10621898—22no—
577#10621898—42no—
578#10621898—42no—
579#10621898—41no—
580#10621898—41no—
581#10621898—44no—
582#10621898—41no—
583#10621898—41no—
584#10621898—41no—
585#10621898—41no—
586#10621898—42no—
587#10621898—42no—
588#10621898—44no—
589C2×D172—21no—
590C2×D172—21no—
591C2×D172—21no—
592C2×D172—21no—
593C2×D172—21no—
594C2×D172—21no—
595C2×D172—21no—
596C2×D172—21no—
597C2×D172—21no—
598C2×D172—21no—
599C2×D172—42no—
600C2×D172—41no—
601C2×D172—41no—
602C2×D172—44no—
603C2×D172C2×D411yescharacteristic
604C2×D172C2×D411yescharacteristic
605C2×D172C2×D411yescharacteristic
606C2×D172C2×D411yescharacteristic
607C2×D172C2411yescharacteristic
608C2×D172C2411yescharacteristic
609C2×D172C2411yescharacteristic
610C2×C4×D43—22no—
611C2×C4×D43—22no—
612C2×C4×D43—21no—
613C2×C4×D43—21no—
614C2×C4×D43—21no—
615C2×C4×D43—21no—
616C2×C4×D43—21no—
617C2×C4×D43—21no—
618C2×C4×D43—21no—
619C2×C4×D43—21no—
620C2×C4×D43—21no—
621C2×C4×D43—41no—
622C2×C4×D43—41no—
623C2×C4×D43—44no—
624C2×C4×D43C2×D411yescharacteristic
625C2×C4×D43C2×D411yescharacteristic
626C2×C4×D43C2×D411yescharacteristic
627C2×C4×D43C2×D411yescharacteristic
628C2×C4×D43C2411yescharacteristic
629C2×C4×D43C2411yescharacteristic
630C2×C4×D43C2411yescharacteristic
631C2×C4×D43C2411yescharacteristic
632C2×Dic86—21no—
633C2×Dic86—42no—
634C2×Dic86C2×D411yescharacteristic
635C2×Dic86C2×D411yescharacteristic
636C2×Dic86C2×D411yescharacteristic
637C2×Dic86C2×D411yescharacteristic
638C2×Dic86C2411yescharacteristic
639Q16×C43—41no—
640SD16×C43—41no—
641SD16×C43—41no—
642D8×C43—41no—
643C2×C8×C43—41no—
644C2×C8×C43—41no—
645C2×C8×C43C2411yescharacteristic
646C2×C8×C43C2411yescharacteristic
647C2×C8×C43C2411yescharacteristic
648C2×C8×C43C2411yescharacteristic
649C4⋊C4×C43—21no—
650C4⋊C4×C43—21no—
651C4⋊C4×C43—21no—
652C4⋊C4×C43—21no—
653C4⋊C4×C43C2411yescharacteristic
654C4⋊C4×C43C2411yescharacteristic
655C4⋊C4×C43C2411yescharacteristic
656C4⋊C4×C43C2411yescharacteristic
657C22⋊C4×C43—21no—
658C22⋊C4×C43—21no—
659C22⋊C4×C43—21no—
660C22⋊C4×C43—21no—
661C22⋊C4×C43—21no—
662C22⋊C4×C43—21no—
663C22⋊C4×C43—21no—
664C22⋊C4×C43—21no—
665C22⋊C4×C43—21no—
666C22⋊C4×C43—21no—
667C42×C43—21no—
668C42×C43—21no—
669C22⋊Dic43—21no—
670C22⋊Dic43—21no—
671C22⋊Dic43—21no—
672C22⋊Dic43—21no—
673C22⋊Dic43—21no—
674C22⋊Dic43—21no—
675C22⋊Dic43—21no—
676#10621885—41no—
677#10621884—41no—
678#10621884—41no—
679#10621884—41no—
680#10621883—41no—
681#10621882—41no—
682#10621882—41no—
683#10621882—41no—
684(C2×D43)⋊C4—21no—
685(C2×D43)⋊C4—21no—
686(C2×D43)⋊C4—21no—
687(C2×D43)⋊C4—21no—
688(C2×D43)⋊C4—21no—
689(C2×D43)⋊C4—21no—
690(C2×D43)⋊C4—21no—
691(C2×D43)⋊C4—21no—
692(C2×D43)⋊C4—21no—
693(C2×D43)⋊C4—21no—
694(C2×D43)⋊C4—21no—
695(C2×D43)⋊C4—21no—
696(C2×D43)⋊C4—21no—
697(C2×D43)⋊C4—21no—
698(C2×D43)⋊C4—21no—
699(C2×D43)⋊C4—21no—
700(C2×D43)⋊C4—21no—
701(C2×D43)⋊C4—21no—
702(C2×D43)⋊C4—21no—
703(C2×D43)⋊C4—21no—
704(C2×D43)⋊C4—21no—
705(C2×D43)⋊C4—21no—
706C4⋊Dic43—21no—
707C4⋊Dic43—21no—
708C4⋊Dic43—21no—
709C4⋊Dic43C2411yescharacteristic
710C4⋊Dic43C2411yescharacteristic
711C4⋊Dic43C2411yescharacteristic
712C4⋊Dic43C2411yescharacteristic
713Dic43⋊C4—21no—
714Dic43⋊C4—21no—
715Dic43⋊C4—21no—
716Dic43⋊C4—21no—
717Dic43⋊C4—21no—
718Dic43⋊C4—21no—
719Dic43⋊C4—21no—
720Dic43⋊C4—21no—
721Dic43⋊C4—21no—
722Dic43⋊C4—21no—
723C4×Dic43—21no—
724C4×Dic43—21no—
725C4×Dic43—21no—
726C4×Dic43—21no—
727C4×Dic43—21no—
728#10621877—41no—
729#10621877—41no—
730C2×C43⋊C8C2411yescharacteristic
731C2×C43⋊C8C2411yescharacteristic
732C2×C43⋊C8C2411yescharacteristic
733C2×C43⋊C8C2411yescharacteristic
734D344—41no—
735D344—41no—
736#10621873—41no—
737#10621873—41no—
738#10621872—22no—
739#10621872—22no—
740#10621872—41no—
741#10621872—41no—
742C8×D43—22no—
743C8×D43—22no—
744C8×D43—41no—
745C8×D43—41no—
746C23×C43—21no—
747C23×C43—21no—
748C23×C43—41no—
749C23×C43—41no—
750C23×C43—41no—
751C23×C43C22×D411yescharacteristic
752C23×C43C22×D411yescharacteristic
753C23×C43C22×D411yescharacteristic
754C22×D43—22no—
755C22×D43—21no—
756C22×D43—21no—
757C22×D43—21no—
758C22×D43—41no—
759C22×D43—41no—
760C22×D43—41no—
761C22×D43—41no—
762C22×D43—41no—
763C22×D43—42no—
764C22×D43—42no—
765C22×D43—42no—
766C22×D43—42no—
767C22×D43—81no—
768C22×D43—81no—
769C22×D43—81no—
770C22×D43—81no—
771C22×D43—81no—
772C22×D43—81no—
773C22×D43—81no—
774C22×D43—81no—
775C22×D43C22×D411yescharacteristic
776C22×D43C22×D411yescharacteristic
777C22×D43C22×D411yescharacteristic
778C22×D43C22×D411yescharacteristic
779Q8×C43—21no—
780Q8×C43—21no—
781Q8×C43—21no—
782Q8×C43—21no—
783D4×C43—21no—
784D4×C43—21no—
785D4×C43—21no—
786D4×C43—21no—
787D4×C43—42no—
788D4×C43—42no—
789D4×C43—42no—
790D4×C43—81no—
791D4×C43—81no—
792D4×C43—81no—
793C2×C4×C43—21no—
794C2×C4×C43—21no—
795C2×C4×C43—21no—
796C2×C4×C43—21no—
797C2×C4×C43—21no—
798C2×C4×C43—21no—
799C2×C4×C43—21no—
800C2×C4×C43—21no—
801C2×C4×C43—21no—
802C2×C4×C43—21no—
803C2×C4×C43—21no—
804C2×C4×C43—21no—
805C2×C4×C43—41no—
806C2×C4×C43—41no—
807C2×C4×C43—41no—
808C2×C4×C43—42no—
809C2×C4×C43—42no—
810C2×C4×C43C22×D411yescharacteristic
811C2×C4×C43C22×D411yescharacteristic
812C2×C4×C43C22×D411yescharacteristic
813C2×C4×C43C2511yescharacteristic
814C22⋊D43—22no—
815C22⋊D43—22no—
816C22⋊D43—22no—
817C22⋊D43—22no—
818C22⋊D43—41no—
819C22⋊D43—41no—
820C22⋊D43—41no—
821C22⋊D43—41no—
822C22⋊D43—42no—
823C22⋊D43—42no—
824C22⋊D43—42no—
825C22⋊D43—42no—
826C22⋊D43—42no—
827C22⋊D43—42no—
828C22⋊D43—42no—
829C22⋊D43—81no—
830C22⋊D43—81no—
831C22⋊D43—81no—
832C22⋊D43—81no—
833C22⋊D43—81no—
834C22⋊D43—81no—
835C22⋊D43—81no—
836C22⋊D43—81no—
837C2×Dic43—22no—
838C2×Dic43—21no—
839C2×Dic43—21no—
840C2×Dic43—21no—
841C2×Dic43—21no—
842C2×Dic43—21no—
843C2×Dic43—41no—
844C2×Dic43—42no—
845C2×Dic43—81no—
846C2×Dic43C22×D411yescharacteristic
847C2×Dic43C22×D411yescharacteristic
848C2×Dic43C22×D411yescharacteristic
849C2×Dic43C22×D411yescharacteristic
850D172—22no—
851D172—22no—
852D172—21no—
853D172—21no—
854D172—21no—
855D172—21no—
856D172—21no—
857D172—21no—
858D172—41no—
859D172—41no—
860D172—42no—
861D172—42no—
862D172—42no—
863D172—42no—
864D172—81no—
865D172—81no—
866D172—81no—
867D172—81no—
868D172—81no—
869D172—81no—
870C4×D43—22no—
871C4×D43—21no—
872C4×D43—21no—
873C4×D43—21no—
874C4×D43—21no—
875C4×D43—21no—
876C4×D43—21no—
877C4×D43—22no—
878C4×D43—41no—
879C4×D43—41no—
880C4×D43—42no—
881C4×D43—42no—
882C4×D43—42no—
883C4×D43—42no—
884C4×D43—42no—
885C4×D43—81no—
886C4×D43—81no—
887C4×D43—81no—
888C4×D43—81no—
889C4×D43H(5,𝔽2)12yes—
890C4×D43H(5,𝔽2)12yes—
891Dic86—22no—
892Dic86—22no—
893Dic86—21no—
894Dic86—21no—
895Dic86—41no—
896Dic86—41no—
897Dic86—42no—
898C8×C43—21no—
899C8×C43—21no—
900C8×C43—21no—
901C8×C43—21no—
902C43⋊C8—21no—
903C43⋊C8—21no—
904C43⋊C8—21no—
905C43⋊C8—21no—
906#60767—431nomaximal, Sylow
907C22×C43—21no—
908C22×C43—21no—
909C22×C43—21no—
910C22×C43—21no—
911C22×C43—21no—
912C22×C43—21no—
913C22×C43—21no—
914C22×C43—21no—
915C22×C43—21no—
916C22×C43—41no—
917C22×C43—41no—
918C22×C43—41no—
919C22×C43—41no—
920C22×C43—41no—
921C22×C43—41no—
922C22×C43—82no—
923C22×C43C23×D411yescharacteristic
924C2×D43—21no—
925C2×D43—21no—
926C2×D43—21no—
927C2×D43—21no—
928C2×D43—21no—
929C2×D43—21no—
930C2×D43—21no—
931C2×D43—21no—
932C2×D43—21no—
933C2×D43—21no—
934C2×D43—21no—
935C2×D43—41no—
936C2×D43—41no—
937C2×D43—41no—
938C2×D43—41no—
939C2×D43—41no—
940C2×D43—41no—
941C2×D43—41no—
942C2×D43—41no—
943C2×D43—41no—
944C2×D43—82no—
945C2×D43—82no—
946C2×D43—84no—
947C2×D43—162no—
948C2×D43—162no—
949C2×D43—162no—
950C2×D43#53412yes—
951C4×C43—21no—
952C4×C43—21no—
953C4×C43—21no—
954C4×C43—41no—
955C4×C43—41no—
956C4×C43—41no—
957C4×C43—41no—
958C4×C43—41no—
959C4×C43—41no—
960C4×C43C2×H(5,𝔽2)11yescharacteristic
961C4×C43C2×H(5,𝔽2)11yescharacteristic
962Dic43—21no—
963Dic43—21no—
964Dic43—21no—
965Dic43—41no—
966Dic43—41no—
967Dic43—41no—
968Dic43—41no—
969Dic43—41no—
970Dic43#53412yes—
971#3488—431no—
972#3449—431no—
973#3201—431no—
974#3201—431no—
975#3200—431no—
976#3200—431no—
977#3199—431no—
978#3199—431no—
979#3198—431no—
980#3198—431no—
981#3197—431no—
982#3197—431no—
983#3194—431no—
984#3194—431no—
985#3191—431no—
986#3191D4311yescharacteristic, complemented
987#3188—431no—
988#3188—431no—
989#3099—431no—
990#3098—431no—
991#3093—431no—
992C2×#482—431no—
993#3062—431no—
994#3062—431no—
995#3061—431no—
996#3060—431no—
997#3012—431no—
998#3012—431no—
999#3006—431no—
1000#3002—431no—
1001#2880—431no—
1002C2×C43—41no—
1003C2×C43—41no—
1004C2×C43—41no—
1005C2×C43—81no—
1006C2×C43—81no—
1007C2×C43C2×#53411yescharacteristic
1008C2×C43#358411yescharacteristic
1009C2×C43#358511yescharacteristic
1010D43—22no—
1011D43—41no—
1012D43—41no—
1013D43—41no—
1014D43—81no—
1015D43—81no—
1016D43—81no—
1017C2×H(5,𝔽2)—431no—
1018C22×#41—431no—
1019C22×#41—431no—
1020C2×AGL(1,ℤ/8)—431no—
1021C2×AGL(1,ℤ/8)—431no—
1022C2×#135—431no—
1023C2×#135—431no—
1024C2×#131—431no—
1025C2×#131—431no—
1026#550—861no—
1027#548—861no—
1028#546—861no—
1029#546—861no—
1030#546—861no—
1031D42—861no—
1032D42—861no—
1033D42—861no—
1034#537—431no—
1035#537—431no—
1036#537—431no—
1037#537—431no—
1038#537—431no—
1039#537—431no—
1040#537—431no—
1041#536—431no—
1042#536—431no—
1043#536—861no—
1044#535—431no—
1045#535—431no—
1046#535—431no—
1047#535—431no—
1048#535—431no—
1049#535—861no—
1050#534—861no—
1051#534—861no—
1052#532—861no—
1053#532—861no—
1054#525—431no—
1055#525—431no—
1056#525—431no—
1057#525—431no—
1058#525—431no—
1059#525—861no—
1060#525—861no—
1061#525C2×D4311yescharacteristic, complemented
1062#525C2×D4311yescharacteristic, complemented
1063C2×#121—431no—
1064C2×#121—431no—
1065C2×#121—431no—
1066#520—431no—
1067C2×#117—431no—
1068#485—431no—
1069#485—431no—
1070#485—431no—
1071#485—431no—
1072#485—431no—
1073#485—431no—
1074#485C2×D4311yescharacteristic, complemented
1075#485C2×D4311yescharacteristic, complemented
1076#484—431no—
1077#484—431no—
1078#483—431no—
1079#483—431no—
1080#482—431no—
1081#482—431no—
1082#482—431no—
1083#482—431no—
1084#482—431no—
1085#482—431no—
1086#482—431no—
1087#482—431no—
1088#482—431no—
1089#482—431no—
1090#482—431no—
1091#482—431no—
1092#482—431no—
1093#482—431no—
1094#482C2×D4311yescharacteristic, complemented
1095#482C2×D4311yescharacteristic, complemented
1096#481—431no—
1097#481—431no—
1098#480—431no—
1099#480—431no—
1100#470—431no—
1101#470—431no—
1102#469—431no—
1103#469—431no—
1104#469—431no—
1105#469—431no—
1106#469—431no—
1107#469—431no—
1108#468—431no—
1109#468—431no—
1110#468—431no—
1111#468—431no—
1112#468—431no—
1113#468—431no—
1114#468—431no—
1115#468—431no—
1116#467—431no—
1117#467C2×D4311yescharacteristic, complemented
1118#466—431no—
1119#466—431no—
1120#466—431no—
1121#466—431no—
1122#466—431no—
1123#466C2×D4311yescharacteristic, complemented
1124#465—431no—
1125#465—431no—
1126#465—431no—
1127#465—431no—
1128#465—431no—
1129#465—431no—
1130#465C2×D4311yescharacteristic, complemented
1131#465C2×D4311yescharacteristic, complemented
1132#452—431no—
1133#452—431no—
1134#452—431no—
1135#452—431no—
1136#452C2×D4311yescharacteristic, complemented
1137#452C2×D4311yescharacteristic, complemented
1138#451—431no—
1139#450—431no—
1140#450—431no—
1141#450—431no—
1142#450—431no—
1143#450—431no—
1144#449—431no—
1145#449—431no—
1146#449—431no—
1147#449—431no—
1148#449—431no—
1149#449—431no—
1150#449—431no—
1151#449—431no—
1152#449C2×D4311yescharacteristic, complemented
1153#449C2×D4311yescharacteristic, complemented
1154#448—431no—
1155#448—431no—
1156#448—431no—
1157#447—431no—
1158#447—431no—
1159#447—431no—
1160#447—431no—
1161#447—431no—
1162#447—431no—
1163#447—431no—
1164#428—431no—
1165#428—431no—
1166C2×#107—431no—
1167C2×#106—431no—
1168#417—431no—
1169#417—431no—
1170#417—431no—
1171#417—431no—
1172#416—431no—
1173#416—431no—
1174C2×#102—431no—
1175C2×#102—431no—
1176#408—431no—
1177#408—431no—
1178#408—431no—
1179#408—431no—
1180#408—431no—
1181#408—431no—
1182#407—431no—
1183#407—431no—
1184#407—431no—
1185C2×C22⋊C8—431no—
1186C2×C22⋊C8—431no—
1187C2×C22⋊C8C2×D4311yescharacteristic, complemented
1188C43#6076711yescharacteristic, complemented, Sylow
1189H(5,𝔽2)—1722no—
1190H(5,𝔽2)—1722no—
1191C2×#41—431no—
1192C2×#41—431no—
1193C2×#41—431no—
1194C2×#41—431no—
1195C2×#41—431no—
1196C2×#41—431no—
1197C2×#41—431no—
1198C2×#41—431no—
1199C2×#41—431no—
1200C2×#41—431no—
1201C2×#41—431no—
1202C2×#41—431no—
1203C2×#41—431no—
1204C2×#41—861no—
1205C2×#41—861no—
1206C2×#41—861no—
1207C2×#41—1722no—
1208C2×#41—1722no—
1209C2×#41—1722no—
1210C2×#41—1722no—
1211C2×#41C22×D4311yescharacteristic
1212C2×#41C22×D4311yescharacteristic
1213C22×Q8—431no—
1214C22×Q8—431no—
1215C22×D4—431no—
1216C22×D4—431no—
1217C22×D4—431no—
1218C22×D4—431no—
1219C22×D4—431no—
1220C22×D4—431no—
1221C22×D4—431no—
1222C22×D4—861no—
1223C22×D4—861no—
1224C22×D4—861no—
1225C22×D4—861no—
1226C22×D4—861no—
1227C22×D4—861no—
1228C22×D4—861no—
1229C23×C4—431no—
1230C23×C4—431no—
1231C23×C4—861no—
1232C23×C4C22×D4311yescharacteristic
1233AGL(1,ℤ/8)—1722no—
1234AGL(1,ℤ/8)—1722no—
1235#135—1722no—
1236#135—1722no—
1237C2×Q16—431no—
1238C2×Q16C22×D4311yescharacteristic
1239C2×SD16—431no—
1240C2×SD16—431no—
1241C2×SD16—431no—
1242C2×SD16—431no—
1243C2×SD16—431no—
1244C2×SD16—431no—
1245C2×SD16C22×D4311yescharacteristic
1246C2×SD16C22×D4311yescharacteristic
1247C2×D8—431no—
1248C2×D8—431no—
1249C2×D8—431no—
1250C2×D8—431no—
1251C2×D8—431no—
1252C2×D8C22×D4311yescharacteristic
1253#131—1722no—
1254#131—1722no—
1255C2×M16—431no—
1256C2×M16—431no—
1257C2×M16—431no—
1258C2×M16—431no—
1259C2×M16—431no—
1260C2×M16—431no—
1261C22×C8—431no—
1262C22×C8—431no—
1263C22×C8—431no—
1264C22×C8—431no—
1265C22×C8C22×D4311yescharacteristic
1266C22×C8C22×D4311yescharacteristic
1267C4⋊Q8—861no—
1268C4⋊Q8—861no—
1269#127—861no—
1270#127—861no—
1271#127—861no—
1272#127—861no—
1273#127—861no—
1274#124—861no—
1275#124—861no—
1276#124—861no—
1277#124—861no—
1278#124—861no—
1279#124—861no—
1280#124—861no—
1281#123—21no—
1282#123—21no—
1283#123—861no—
1284#123—861no—
1285#123—861no—
1286#123—861no—
1287#123—861no—
1288#123—861no—
1289#123—861no—
1290#123—861no—
1291#123—861no—
1292C22⋊Q8—431no—
1293C22⋊Q8—431no—
1294C22⋊Q8—431no—
1295C22⋊Q8—431no—
1296C22⋊Q8—431no—
1297C22⋊Q8—431no—
1298C22⋊Q8—431no—
1299C22⋊Q8—431no—
1300C22⋊Q8—861no—
1301C22⋊Q8—861no—
1302C22⋊Q8—861no—
1303C22⋊Q8—861no—
1304C22⋊Q8—861no—
1305C22⋊Q8—861no—
1306C22⋊Q8—861no—
1307C22⋊Q8C22×D4311yescharacteristic
1308C22⋊Q8C22×D4311yescharacteristic
1309C22⋊Q8C22×D4311yescharacteristic
1310C22⋊Q8C22×D4311yescharacteristic
1311#121—431no—
1312#121—431no—
1313#121—431no—
1314#121—431no—
1315#121—431no—
1316#121—431no—
1317#121—431no—
1318#121—431no—
1319#121—431no—
1320#121—431no—
1321#121—431no—
1322#121—431no—
1323#121—431no—
1324#121—431no—
1325#121—431no—
1326#121—431no—
1327#121—861no—
1328#121—861no—
1329#121—861no—
1330#121—861no—
1331#121—861no—
1332#121—861no—
1333#121—861no—
1334#121—861no—
1335#121—861no—
1336#121—861no—
1337#121—861no—
1338#121—861no—
1339#121—861no—
1340#121—861no—
1341#121—861no—
1342#121—861no—
1343#121—861no—
1344#121—861no—
1345#121—861no—
1346#121—861no—
1347#121—861no—
1348#121—861no—
1349#121—861no—
1350#121—861no—
1351#121—861no—
1352#121—861no—
1353#121—861no—
1354#121C22×D4311yescharacteristic
1355#121C22×D4311yescharacteristic
1356#121C22×D4311yescharacteristic
1357#121C22×D4311yescharacteristic
1358#120—21no—
1359#120—21no—
1360#120—861no—
1361#120—861no—
1362#120—861no—
1363#120—861no—
1364#120—861no—
1365#120—861no—
1366#120—861no—
1367#120—861no—
1368#120—861no—
1369#120—861no—
1370#120—861no—
1371#120—861no—
1372#120—861no—
1373#120—861no—
1374#120—861no—
1375C4×Q8—861no—
1376C4×D4—21no—
1377C4×D4—21no—
1378C4×D4—21no—
1379C4×D4—21no—
1380C4×D4—861no—
1381C4×D4—861no—
1382C4×D4—861no—
1383C4×D4—861no—
1384C4×D4—861no—
1385C4×D4—861no—
1386C4×D4—861no—
1387C4×D4—861no—
1388C4×D4—861no—
1389C4×D4—861no—
1390C4×D4—861no—
1391C4×D4—861no—
1392C4×D4—861no—
1393#117—431no—
1394#117—431no—
1395#117—431no—
1396#117—431no—
1397#117—431no—
1398#117—861no—
1399#117—861no—
1400#117C22×D4311yescharacteristic
1401#117C22×D4311yescharacteristic
1402C2×C4⋊C4—431no—
1403C2×C4⋊C4—431no—
1404C2×C4⋊C4—431no—
1405C2×C4⋊C4—431no—
1406C2×C4⋊C4—431no—
1407C2×C22⋊C4—861no—
1408C2×C22⋊C4—861no—
1409C2×C22⋊C4—861no—
1410C2×C22⋊C4—861no—
1411C2×C42—861no—
1412#107—431no—
1413#107—431no—
1414#107—431no—
1415#107—431no—
1416#107—431no—
1417#107—431no—
1418#107C22×D4311yescharacteristic
1419#107C22×D4311yescharacteristic
1420#106—431no—
1421#106—431no—
1422#106—431no—
1423#106—431no—
1424#106—431no—
1425#106—431no—
1426#106C22×D4311yescharacteristic
1427#106C22×D4311yescharacteristic
1428#103—431no—
1429#103—431no—
1430#103—431no—
1431#103—431no—
1432#103—431no—
1433#103—431no—
1434#103—431no—
1435#103—431no—
1436#103C22×D4311yescharacteristic
1437#103C22×D4311yescharacteristic
1438#103C22×D4311yescharacteristic
1439#103C22×D4311yescharacteristic
1440#102—431no—
1441#102—431no—
1442#102—431no—
1443#102—431no—
1444#102—431no—
1445#102—431no—
1446#102—431no—
1447#102—431no—
1448#102—431no—
1449#102—431no—
1450#102—431no—
1451#102—431no—
1452#102—431no—
1453#102—431no—
1454#102—431no—
1455#102—431no—
1456#102C22×D4311yescharacteristic
1457#102C22×D4311yescharacteristic
1458#102C22×D4311yescharacteristic
1459#102C22×D4311yescharacteristic
1460C22⋊C8—431no—
1461C22⋊C8—431no—
1462C22⋊C8—431no—
1463C22⋊C8—431no—
1464C22⋊C8—431no—
1465C22⋊C8—431no—
1466C22⋊C8—431no—
1467C22⋊C8—431no—
1468C22⋊C8—431no—
1469C22⋊C8—431no—
1470C22⋊C8—431no—
1471C22⋊C8—431no—
1472C22⋊C8C22×D4311yescharacteristic
1473C22⋊C8C22×D4311yescharacteristic
1474C22⋊C8C22×D4311yescharacteristic
1475C22⋊C8C22×D4311yescharacteristic
1476C24—431no—
1477C24—431no—
1478C24—861no—
1479C24—861no—
1480C24—861no—
1481C24—861no—
1482C24D4×D4311yescharacteristic
1483#41—41no—
1484#41—41no—
1485#41—41no—
1486#41—41no—
1487#41—862no—
1488#41—862no—
1489#41—862no—
1490#41—862no—
1491#41—862no—
1492#41—862no—
1493#41—862no—
1494#41—862no—
1495#41—862no—
1496#41—862no—
1497#41—1721no—
1498#41—1721no—
1499#41—1721no—
1500#41—1721no—
1501#41—1721no—
1502#41—1721no—
1503#41—1722no—
1504#41—1722no—
1505#41—1722no—
1506#41—1722no—
1507#41—1724no—
1508#41—1724no—
1509#41—1724no—
1510#41—1721no—
1511#41—1721no—
1512C2×Q8—431no—
1513C2×Q8—431no—
1514C2×Q8—431no—
1515C2×Q8—431no—
1516C2×Q8—431no—
1517C2×Q8—861no—
1518C2×Q8—1722no—
1519C2×Q8—1721no—
1520C2×Q8—1721no—
1521C2×Q8C23×D4311yescharacteristic
1522C2×Q8C23×D4311yescharacteristic
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—21no—
1526C2×D4—21no—
1527C2×D4—21no—
1528C2×D4—21no—
1529C2×D4—431no—
1530C2×D4—431no—
1531C2×D4—431no—
1532C2×D4—431no—
1533C2×D4—431no—
1534C2×D4—431no—
1535C2×D4—431no—
1536C2×D4—431no—
1537C2×D4—431no—
1538C2×D4—431no—
1539C2×D4—431no—
1540C2×D4—431no—
1541C2×D4—431no—
1542C2×D4—431no—
1543C2×D4—431no—
1544C2×D4—861no—
1545C2×D4—861no—
1546C2×D4—861no—
1547C2×D4—861no—
1548C2×D4—861no—
1549C2×D4—861no—
1550C2×D4—861no—
1551C2×D4—861no—
1552C2×D4—861no—
1553C2×D4—862no—
1554C2×D4—862no—
1555C2×D4—861no—
1556C2×D4—861no—
1557C2×D4—861no—
1558C2×D4—861no—
1559C2×D4—861no—
1560C2×D4—861no—
1561C2×D4—861no—
1562C2×D4—861no—
1563C2×D4—861no—
1564C2×D4—861no—
1565C2×D4—861no—
1566C2×D4—861no—
1567C2×D4—861no—
1568C2×D4—861no—
1569C2×D4—861no—
1570C2×D4—861no—
1571C2×D4—3442no—
1572C2×D4—3442no—
1573C2×D4—3442no—
1574C2×D4—1721no—
1575C2×D4—1721no—
1576C2×D4—1722no—
1577C2×D4—1724no—
1578C2×D4—1721no—
1579C2×D4—1721no—
1580C2×D4—1721no—
1581C2×D4—1721no—
1582C2×D4—1722no—
1583C2×D4—1724no—
1584C2×D4—1724no—
1585C2×D4—1724no—
1586C2×D4—1722no—
1587C2×D4C23×D4311yescharacteristic
1588C2×D4C23×D4311yescharacteristic
1589C22×C4—21no—
1590C22×C4—21no—
1591C22×C4—41no—
1592C22×C4—41no—
1593C22×C4—431no—
1594C22×C4—431no—
1595C22×C4—431no—
1596C22×C4—431no—
1597C22×C4—431no—
1598C22×C4—431no—
1599C22×C4—431no—
1600C22×C4—431no—
1601C22×C4—431no—
1602C22×C4—431no—
1603C22×C4—862no—
1604C22×C4—862no—
1605C22×C4—861no—
1606C22×C4—861no—
1607C22×C4—861no—
1608C22×C4—861no—
1609C22×C4—861no—
1610C22×C4—861no—
1611C22×C4—861no—
1612C22×C4—861no—
1613C22×C4—861no—
1614C22×C4—861no—
1615C22×C4—861no—
1616C22×C4—1721no—
1617C22×C4—1721no—
1618C22×C4—1724no—
1619C22×C4D4×D4311yescharacteristic
1620C22×C4D4×D4311yescharacteristic
1621C22×C4D4×D4311yescharacteristic
1622C22×C4C23×D4311yescharacteristic
1623C22×C4C23×D4311yescharacteristic
1624C22×C4C23×D4311yescharacteristic
1625Q16—41no—
1626Q16—1721no—
1627SD16—41no—
1628SD16—41no—
1629SD16—1721no—
1630SD16—1721no—
1631SD16—1721no—
1632SD16—1721no—
1633SD16—1721no—
1634SD16—1721no—
1635D8—41no—
1636D8—1721no—
1637D8—1721no—
1638D8—1721no—
1639D8—1721no—
1640D8—1721no—
1641M16—862no—
1642M16—862no—
1643M16—1721no—
1644M16—1721no—
1645M16—1721no—
1646M16—1721no—
1647C2×C8—41no—
1648C2×C8—41no—
1649C2×C8—431no—
1650C2×C8—431no—
1651C2×C8—431no—
1652C2×C8—431no—
1653C2×C8—862no—
1654C2×C8—862no—
1655C2×C8—1721no—
1656C2×C8—1721no—
1657C2×C8C23×D4311yescharacteristic
1658C2×C8C23×D4311yescharacteristic
1659C2×C8C23×D4311yescharacteristic
1660C2×C8C23×D4311yescharacteristic
1661C4⋊C4—21no—
1662C4⋊C4—21no—
1663C4⋊C4—21no—
1664C4⋊C4—21no—
1665C4⋊C4—431no—
1666C4⋊C4—431no—
1667C4⋊C4—431no—
1668C4⋊C4—431no—
1669C4⋊C4—861no—
1670C4⋊C4—861no—
1671C4⋊C4—861no—
1672C4⋊C4—861no—
1673C4⋊C4—861no—
1674C4⋊C4—861no—
1675C4⋊C4—861no—
1676C4⋊C4—861no—
1677C4⋊C4—861no—
1678C4⋊C4—861no—
1679C4⋊C4—861no—
1680C4⋊C4—861no—
1681C4⋊C4—861no—
1682C4⋊C4C23×D4311yescharacteristic
1683C4⋊C4C23×D4311yescharacteristic
1684C4⋊C4C23×D4311yescharacteristic
1685C4⋊C4C23×D4311yescharacteristic
1686C22⋊C4—21no—
1687C22⋊C4—21no—
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—21no—
1694C22⋊C4—21no—
1695C22⋊C4—21no—
1696C22⋊C4—861no—
1697C22⋊C4—861no—
1698C22⋊C4—861no—
1699C22⋊C4—861no—
1700C22⋊C4—861no—
1701C22⋊C4—861no—
1702C22⋊C4—861no—
1703C22⋊C4—861no—
1704C22⋊C4—861no—
1705C22⋊C4—861no—
1706C22⋊C4—861no—
1707C22⋊C4—861no—
1708C22⋊C4—861no—
1709C22⋊C4—861no—
1710C22⋊C4—861no—
1711C22⋊C4—861no—
1712C22⋊C4—861no—
1713C22⋊C4—861no—
1714C22⋊C4—861no—
1715C22⋊C4—861no—
1716C22⋊C4—861no—
1717C22⋊C4—861no—
1718C22⋊C4—861no—
1719C22⋊C4—861no—
1720C22⋊C4—861no—
1721C22⋊C4—861no—
1722C22⋊C4—861no—
1723C22⋊C4—861no—
1724C22⋊C4—861no—
1725C42—21no—
1726C42—21no—
1727C42—861no—
1728C42—861no—
1729C42—861no—
1730C42—861no—
1731C42—861no—
1732C23—21no—
1733C23—21no—
1734C23—41no—
1735C23—41no—
1736C23—41no—
1737C23—431no—
1738C23—431no—
1739C23—431no—
1740C23—431no—
1741C23—862no—
1742C23—861no—
1743C23—861no—
1744C23—861no—
1745C23—3441no—
1746C23—3441no—
1747C23—3441no—
1748C23—3441no—
1749C23—3441no—
1750C23—3441no—
1751C23—3441no—
1752C23—3441no—
1753C23—1721no—
1754C23—1721no—
1755C23—1721no—
1756C23—1721no—
1757C23—1721no—
1758C23—1722no—
1759C23—1722no—
1760C23—1722no—
1761C23—1722no—
1762C23C2×D4×D4311yescharacteristic
1763C23C2×D4×D4311yescharacteristic
1764C23C2×D4×D4311yescharacteristic
1765Q8—21no—
1766Q8—21no—
1767Q8—21no—
1768Q8—21no—
1769Q8—862no—
1770Q8—862no—
1771Q8—861no—
1772Q8—861no—
1773Q8—1721no—
1774Q8—1721no—
1775Q8—1722no—
1776D4—21no—
1777D4—21no—
1778D4—21no—
1779D4—21no—
1780D4—42no—
1781D4—42no—
1782D4—42no—
1783D4—81no—
1784D4—81no—
1785D4—81no—
1786D4—862no—
1787D4—862no—
1788D4—862no—
1789D4—862no—
1790D4—862no—
1791D4—862no—
1792D4—861no—
1793D4—861no—
1794D4—861no—
1795D4—861no—
1796D4—861no—
1797D4—861no—
1798D4—3441no—
1799D4—3441no—
1800D4—3441no—
1801D4—3441no—
1802D4—3441no—
1803D4—3441no—
1804D4—3441no—
1805D4—3441no—
1806D4—3441no—
1807D4—3441no—
1808D4—3441no—
1809D4—3441no—
1810D4—3441no—
1811D4—3441no—
1812D4—1721no—
1813D4—1721no—
1814D4—1722no—
1815D4—1722no—
1816D4—1722no—
1817D4—1722no—
1818D4—1722no—
1819D4—1721no—
1820D4—1721no—
1821D4—1721no—
1822D4—1721no—
1823D4—1722no—
1824D4—1722no—
1825D4—1722no—
1826D4—1722no—
1827D4—1722no—
1828D4—1722no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—41no—
1842C2×C4—41no—
1843C2×C4—41no—
1844C2×C4—42no—
1845C2×C4—42no—
1846C2×C4—431no—
1847C2×C4—432no—
1848C2×C4—432no—
1849C2×C4—431no—
1850C2×C4—431no—
1851C2×C4—431no—
1852C2×C4—862no—
1853C2×C4—862no—
1854C2×C4—862no—
1855C2×C4—861no—
1856C2×C4—861no—
1857C2×C4—861no—
1858C2×C4—861no—
1859C2×C4—861no—
1860C2×C4—861no—
1861C2×C4—861no—
1862C2×C4—861no—
1863C2×C4—861no—
1864C2×C4—861no—
1865C2×C4—861no—
1866C2×C4—3441no—
1867C2×C4—3441no—
1868C2×C4—3441no—
1869C2×C4—3441no—
1870C2×C4—3441no—
1871C2×C4—1721no—
1872C2×C4—1721no—
1873C2×C4—1722no—
1874C2×C4—1722no—
1875C2×C4—1722no—
1876C2×C4—1722no—
1877C2×C4—1722no—
1878C2×C4—1722no—
1879C2×C4—1721no—
1880C2×C4C2×D4×D4311yescharacteristic
1881C2×C4C2×D4×D4311yescharacteristic
1882C2×C4C2×D4×D4311yescharacteristic
1883C2×C4C24×D4311yescharacteristic
1884C8—21no—
1885C8—21no—
1886C8—21no—
1887C8—21no—
1888C8—861no—
1889C8—861no—
1890C8—861no—
1891C8—861no—
1892C22—21no—
1893C22—21no—
1894C22—21no—
1895C22—21no—
1896C22—21no—
1897C22—21no—
1898C22—21no—
1899C22—21no—
1900C22—21no—
1901C22—41no—
1902C22—41no—
1903C22—41no—
1904C22—41no—
1905C22—41no—
1906C22—41no—
1907C22—82no—
1908C22—432no—
1909C22—861no—
1910C22—861no—
1911C22—861no—
1912C22—861no—
1913C22—861no—
1914C22—861no—
1915C22—861no—
1916C22—861no—
1917C22—861no—
1918C22—861no—
1919C22—861no—
1920C22—3442no—
1921C22—3442no—
1922C22—3444no—
1923C22—1721no—
1924C22—1721no—
1925C22—1721no—
1926C22—1721no—
1927C22—1721no—
1928C22—1721no—
1929C22—1721no—
1930C22—1721no—
1931C22—1721no—
1932C22—6882no—
1933C22—6882no—
1934C22—6882no—
1935C22C22×D4×D4311yescharacteristic
1936C4—21no—
1937C4—21no—
1938C4—21no—
1939C4—41no—
1940C4—41no—
1941C4—41no—
1942C4—41no—
1943C4—41no—
1944C4—41no—
1945C4—432no—
1946C4—861no—
1947C4—861no—
1948C4—861no—
1949C4—1721no—
1950C4—1721no—
1951C4—1721no—
1952C4—1721no—
1953C4—1721no—
1954C4H(5,𝔽2)×D4311yescharacteristic
1955C4H(5,𝔽2)×D4311yescharacteristic
1956C2—41no—
1957C2—41no—
1958C2—41no—
1959C2—81no—
1960C2—81no—
1961C2—862no—
1962C2—3441no—
1963C2—3441no—
1964C2—3441no—
1965C2—1721no—
1966C2—1721no—
1967C2—1721no—
1968C2#534×D4311yescharacteristic
1969C2#1914936411yescharacteristic
1970C2#1914937211yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3191C2
socleC22×C43C23×D4
hypercenter#3191D43
hypocenterC43#60767
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3191

Complements

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

NH ≅ G/Ntype
1. #19148256C2semidirect
2. #19147925C2semidirect
3. #19145480C2semidirect
4. #19145476C2semidirect
5. #19145466C2semidirect
6. #19145461C2semidirect
7. #19145459C2semidirect
8. #19145455C2semidirect
9. #19145450C2semidirect
10. #19145446C2semidirect
11. #19145439C2semidirect
12. #19145432C2semidirect
13. #19145407C2semidirect
14. #19145405C2semidirect
15. #19145387C2semidirect
16. #19145364C2semidirect
17. #19145362C2semidirect
18. #19144581C2semidirect
19. #19144570C2semidirect
20. #19144527C2semidirect
21. #482×D43C2semidirect
22. #19144274C2semidirect
23. #19144268C2semidirect
24. #19144266C2semidirect
25. #19144252C2semidirect
26. #19143903C2semidirect
27. #19143897C2semidirect
28. #19143844C2semidirect
29. #19143816C2semidirect
30. #19143041C2semidirect
31. C43×#3191C2semidirect
32. C2×#13063371C22semidirect
34. C2×#41×D43C22semidirect
35. C2×#13063352C22semidirect
36. C2×#13063349C22semidirect
37. C2×#13063348C22semidirect
38. C2×#13063346C22semidirect
39. C2×#13063331C22semidirect
40. C2×#13063331C22semidirect
51. #14583479C22semidirect
52. #14583479C22semidirect
54. #14583478C22semidirect
56. #14583472C22semidirect
57. #14583472C22semidirect
61. #14583465C22semidirect
62. #14583465C22semidirect
63. #14583465C22semidirect
70. #14583412C22semidirect
71. #14583411C22semidirect
72. #14583410C22semidirect
75. #14583406C22semidirect
76. C2×#13063299C22semidirect
78. #121×D43C22semidirect
79. #14583379C22semidirect
80. #117×D43C22semidirect
81. #14583243C22semidirect
82. #14583240C22semidirect
83. #14583239C22semidirect
84. #14583238C22semidirect
85. #14583238C22semidirect
86. #14583237C22semidirect
87. #14583236C22semidirect
88. #14583235C22semidirect
89. #14583228C22semidirect
90. #14583227C22semidirect
91. #14583226C22semidirect
92. #14583226C22semidirect
93. #14583226C22semidirect
94. #14583225C22semidirect
95. #14583225C22semidirect
96. #14583224C22semidirect
97. #14583224C22semidirect
98. #14583223C22semidirect
99. #14583223C22semidirect
100. #14583223C22semidirect
101. #14583222C22semidirect
102. #14583221C22semidirect
103. #14583221C22semidirect
104. #14583220C22semidirect
105. #14583219C22semidirect
106. #14583218C22semidirect
107. #14583211C22semidirect
108. #14583210C22semidirect
109. #14583156C22semidirect
110. #14583155C22semidirect
111. #14583153C22semidirect
112. #14583151C22semidirect
113. #14583150C22semidirect
114. #14583150C22semidirect
115. #14583150C22semidirect
116. #14583149C22semidirect
117. #14583148C22semidirect
118. #14583148C22semidirect
119. #14583147C22semidirect
120. #14583147C22semidirect
121. #14583147C22semidirect
122. #14583146C22semidirect
123. #14583143C22semidirect
124. #14583142C22semidirect
125. #14583137C22semidirect
126. #14583136C22semidirect
127. #14583135C22semidirect
128. #14583135C22semidirect
129. #14583134C22semidirect
130. #14583134C22semidirect
131. #14583131C22semidirect
132. #14583129C22semidirect
133. #14583128C22semidirect
134. #14583128C22semidirect
135. #14583127C22semidirect
136. #14583125C22semidirect
137. #14583064C22semidirect
138. #14583061C22semidirect
139. #14583060C22semidirect
140. #14583059C22semidirect
141. #14583053C22semidirect
142. #14583052C22semidirect
143. #14583051C22semidirect
144. #14583049C22semidirect
145. #14583048C22semidirect
146. #14583048C22semidirect
147. #14583047C22semidirect
148. #14583046C22semidirect
149. #14583046C22semidirect
150. #14583044C22semidirect
151. #14583044C22semidirect
152. #14583044C22semidirect
153. #14583043C22semidirect
154. #14583042C22semidirect
155. #14583039C22semidirect
156. #14583039C22semidirect
157. #14583036C22semidirect
158. #14583035C22semidirect
159. #14583034C22semidirect
160. #14583034C22semidirect
161. #14583034C22semidirect
162. #14583032C22semidirect
163. #14583031C22semidirect
164. #14583031C22semidirect
165. #14582940C22semidirect
166. #14582938C22semidirect
167. #107×D43C22semidirect
168. #106×D43C22semidirect
169. #14582899C22semidirect
170. #14582899C22semidirect
171. #14582899C22semidirect
172. #14582897C22semidirect
173. #14582894C22semidirect
174. #14582892C22semidirect
175. #102×D43C22semidirect
176. #102×D43C22semidirect
177. #14582865C22semidirect
178. #14582865C22semidirect
179. #14582864C22semidirect
180. #14582864C22semidirect
181. #14582864C22semidirect
182. #14582864C22semidirect
183. #14582863C22semidirect
184. #14582861C22semidirect
185. #14582861C22semidirect
186. C22⋊C8×D43C22semidirect
187. C22⋊C8×D43C22semidirect
188. C43×#525C22semidirect
189. C43×#525C22semidirect
190. C43×#485C22semidirect
191. C43×#485C22semidirect
192. C43×#482C22semidirect
193. C43×#482C22semidirect
194. C43×#467C22semidirect
195. C43×#466C22semidirect
196. C43×#465C22semidirect
197. C43×#465C22semidirect
198. C43×#452C22semidirect
199. C43×#452C22semidirect
200. C43×#449C22semidirect
201. C43×#449C22semidirect
202. C2×C22⋊C8×C43C22semidirect
986. #3191D43semidirect
1061. #525C2×D43semidirect
1062. #525C2×D43semidirect
1074. #485C2×D43semidirect
1075. #485C2×D43semidirect
1094. #482C2×D43semidirect
1095. #482C2×D43semidirect
1117. #467C2×D43semidirect
1123. #466C2×D43semidirect
1130. #465C2×D43semidirect
1131. #465C2×D43semidirect
1136. #452C2×D43semidirect
1137. #452C2×D43semidirect
1152. #449C2×D43semidirect
1153. #449C2×D43semidirect
1187. C2×C22⋊C8C2×D43semidirect
1188. C43#60767semidirect

Maximal subgroups

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

subgroupindex
#191482562
#191479252
#191454802
#191454762
#191454662
#191454612
#191454592
#191454552
#191454502
#191454462
#191454392
#191454322
#191454072
#191454052
#191453872
#191453642
#191453622
#191445812
#191445702
#191445272
#482×D432
#191442742
#191442682
#191442662
#191442522
#191439032
#191438972
#191438442
#191438162
#191430412
C43×#31912
#6076743