Finite Group Databasebeta

← #25967698

Subgroups — #25967698

Order 11008.

2254 conjugacy classes of subgroups.

The subgroup lattice has 2006 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148260C211yesmaximal, characteristic, complemented
2#19148256C211yesmaximal, characteristic, complemented
3#19145505C211yesmaximal, characteristic, complemented
4#19145504C211yesmaximal, characteristic, complemented
5#19145459C211yesmaximal, characteristic, complemented
6#19145458C211yesmaximal, characteristic, complemented
7#19145454C211yesmaximal, characteristic, complemented
8#19145451C211yesmaximal, characteristic, complemented
9#19145445C211yesmaximal, characteristic, complemented
10#19145444C211yesmaximal, characteristic, complemented
11#19145433C211yesmaximal, characteristic, complemented
12#19145432C211yesmaximal, characteristic, complemented
13#19145411C211yesmaximal, characteristic, complemented
14#19145410C211yesmaximal, characteristic, complemented
15#19145404C211yesmaximal, characteristic, complemented
16#19145392C211yesmaximal, characteristic, complemented
17#19145391C211yesmaximal, characteristic, complemented
18#19144587C211yesmaximal, characteristic, complemented
19#19144579C211yesmaximal, characteristic, complemented
20#19144550C211yesmaximal, characteristic, complemented
21#19144546C211yesmaximal, characteristic, complemented
22#19144213C211yesmaximal, characteristic, complemented
23#19144209C211yesmaximal, characteristic, complemented
24#19144199C211yesmaximal, characteristic, complemented
25#469×D43C211yesmaximal, characteristic, complemented
26#19143900C211yesmaximal, characteristic, complemented
27#19143897C211yesmaximal, characteristic, complemented
28#19143860C211yesmaximal, characteristic, complemented
29#19143858C211yesmaximal, characteristic, complemented
30#19143038C211yesmaximal, characteristic, complemented
31C43×#3194C211yesmaximal, characteristic, complemented
32C2×#13063371C2211yescharacteristic, complemented
33C2×#13063370C2211yescharacteristic, complemented
34C22×#10621898C2211yescharacteristic
35C2×#13063352C2211yescharacteristic, complemented
36C2×#13063349C2211yescharacteristic, complemented
37C2×#13063346C2211yescharacteristic, complemented
38C2×D8×D43C2211yescharacteristic, complemented
39C2×M16×D43C2211yescharacteristic, complemented
40C2×M16×D43C2211yescharacteristic, complemented
41#14583570—21no—
42#14583567—21no—
43#14583558—21no—
44#14583555—21no—
45#14583546—21no—
46#14583545—21no—
47#14583541—21no—
48#14583541—21no—
49#14583539—21no—
50#14583539—21no—
51D4×D172—21no—
52#14583533—21no—
53D4×C22⋊D43—21no—
54D4×C22⋊D43—21no—
55#14583531—21no—
56#14583531—21no—
57#14583480C2211yescharacteristic, complemented
58#14583479C2211yescharacteristic
59#14583479C2211yescharacteristic, complemented
60#14583478C2211yescharacteristic
61#14583478C2211yescharacteristic, complemented
62#14583477C2211yescharacteristic, complemented
63#14583468C2211yescharacteristic, complemented
64#14583466C2211yescharacteristic, complemented
65#14583465C2211yescharacteristic
66#14583465C2211yescharacteristic
67#14583465C2211yescharacteristic, complemented
68#14583465C2211yescharacteristic, complemented
69#14583412C2211yescharacteristic, complemented
70#14583412C2211yescharacteristic, complemented
71#14583410C2211yescharacteristic, complemented
72#14583409C2211yescharacteristic, complemented
73#14583409C2211yescharacteristic, complemented
74C2×#13063299C2211yescharacteristic, complemented
75#121×D43C2211yescharacteristic, complemented
76#121×D43C2211yescharacteristic, complemented
77#121×D43C2211yescharacteristic, complemented
78#121×D43C2211yescharacteristic, complemented
79#14583380C2211yescharacteristic, complemented
80#14583379C2211yescharacteristic, complemented
81#14583242C2211yescharacteristic, complemented
82#14583240C2211yescharacteristic, complemented
83#14583239C2211yescharacteristic, complemented
84#14583237C2211yescharacteristic, complemented
85#14583231C2211yescharacteristic, complemented
86#14583230C2211yescharacteristic, complemented
87#14583228C2211yescharacteristic, complemented
88#14583226C2211yescharacteristic, complemented
89#14583226C2211yescharacteristic, complemented
90#14583225C2211yescharacteristic, complemented
91#14583224C2211yescharacteristic, complemented
92#14583224C2211yescharacteristic, complemented
93#14583223C2211yescharacteristic, complemented
94#14583222C2211yescharacteristic, complemented
95#14583221C2211yescharacteristic, complemented
96#14583221C2211yescharacteristic, complemented
97#14583220C2211yescharacteristic, complemented
98#14583219C2211yescharacteristic, complemented
99#14583219C2211yescharacteristic, complemented
100#14583217C2211yescharacteristic, complemented
101#14583217C2211yescharacteristic, complemented
102#14583216C2211yescharacteristic, complemented
103#14583216C2211yescharacteristic, complemented
104#14583215C2211yescharacteristic, complemented
105#14583215C2211yescharacteristic, complemented
106#14583214C2211yescharacteristic, complemented
107#14583213C2211yescharacteristic, complemented
108#14583211C2211yescharacteristic, complemented
109#14583156C2211yescharacteristic, complemented
110#14583155C2211yescharacteristic, complemented
111#14583153C2211yescharacteristic, complemented
112#14583152C2211yescharacteristic, complemented
113#14583152C2211yescharacteristic, complemented
114#14583151C2211yescharacteristic, complemented
115#14583151C2211yescharacteristic, complemented
116#14583151C2211yescharacteristic, complemented
117#14583150C2211yescharacteristic, complemented
118#14583150C2211yescharacteristic, complemented
119#14583150C2211yescharacteristic, complemented
120#14583150C2211yescharacteristic, complemented
121#14583150C2211yescharacteristic, complemented
122#14583149C2211yescharacteristic, complemented
123#14583147C2211yescharacteristic, complemented
124#14583146C2211yescharacteristic, complemented
125#14583145C2211yescharacteristic, complemented
126#14583145C2211yescharacteristic, complemented
127#14583143C2211yescharacteristic, complemented
128#14583142C2211yescharacteristic, complemented
129#14583136C2211yescharacteristic, complemented
130#14583134C2211yescharacteristic, complemented
131#14583134C2211yescharacteristic, complemented
132#14583132C2211yescharacteristic, complemented
133#14583131C2211yescharacteristic, complemented
134#14583129C2211yescharacteristic, complemented
135#14583127C2211yescharacteristic, complemented
136#14583125C2211yescharacteristic, complemented
137#14583064C2211yescharacteristic, complemented
138#14583061C2211yescharacteristic, complemented
139#14583059C2211yescharacteristic, complemented
140#14583058C2211yescharacteristic, complemented
141#14583052C2211yescharacteristic, complemented
142#14583051C2211yescharacteristic, complemented
143#14583048C2211yescharacteristic, complemented
144#14583047C2211yescharacteristic, complemented
145#14583046C2211yescharacteristic, complemented
146#14583046C2211yescharacteristic, complemented
147#14583045C2211yescharacteristic, complemented
148#14583045C2211yescharacteristic, complemented
149#14583044C2211yescharacteristic, complemented
150#14583043C2211yescharacteristic, complemented
151#14583043C2211yescharacteristic, complemented
152#14583042C2211yescharacteristic, complemented
153#14583041C2211yescharacteristic, complemented
154#14583035C2211yescharacteristic, complemented
155#14583034C2211yescharacteristic, complemented
156#14583034C2211yescharacteristic, complemented
157#14583034C2211yescharacteristic, complemented
158#14583033C2211yescharacteristic, complemented
159#14583033C2211yescharacteristic, complemented
160#14583032C2211yescharacteristic, complemented
161#14583032C2211yescharacteristic, complemented
162#14583031C2211yescharacteristic, complemented
163#14583031C2211yescharacteristic, complemented
164#14583031C2211yescharacteristic, complemented
165#14582940C2211yescharacteristic, complemented
166#14582938C2211yescharacteristic, complemented
167#14582936C2211yescharacteristic, complemented
168#106×D43C2211yescharacteristic, complemented
169#14582902C2211yescharacteristic, complemented
170#14582902C2211yescharacteristic, complemented
171#14582899C2211yescharacteristic, complemented
172#14582897C2211yescharacteristic, complemented
173#14582894C2211yescharacteristic, complemented
174#14582892C2211yescharacteristic, complemented
175#102×D43C2211yescharacteristic, complemented
176#102×D43C2211yescharacteristic, complemented
177#14582864C2211yescharacteristic, complemented
178#14582864C2211yescharacteristic, complemented
179#14582864C2211yescharacteristic, complemented
180#14582864C2211yescharacteristic, complemented
181#14582864C2211yescharacteristic, complemented
182#14582864C2211yescharacteristic, complemented
183#14582864C2211yescharacteristic, complemented
184#14582864C2211yescharacteristic, complemented
185#14582863C2211yescharacteristic, complemented
186#14582862C2211yescharacteristic, complemented
187#14582862C2211yescharacteristic, complemented
188C43×#525C2211yescharacteristic, complemented
189C2×#121×C43C2211yescharacteristic, complemented
190C43×#483C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic, complemented
192C43×#482C2211yescharacteristic, complemented
193C43×#480C2211yescharacteristic, complemented
194C43×#469C2211yescharacteristic, complemented
195C43×#469C2211yescharacteristic, complemented
196C43×#468C2211yescharacteristic, complemented
197C43×#468C2211yescharacteristic, complemented
198C43×#450C2211yescharacteristic, complemented
199C43×#449C2211yescharacteristic, complemented
200C43×#449C2211yescharacteristic, complemented
201C43×#447C2211yescharacteristic, complemented
202C43×#407C2211yescharacteristic, complemented
203#13063371—42no—
204#13063371—42no—
205#13063370—42no—
206#13063370—42no—
207C2×#10621902C2311yescharacteristic
208C2×#10621902C2311yescharacteristic
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
223C2×#10621900C2311yescharacteristic
224C22×Dic86D411yescharacteristic
225C22×D172—21no—
226C22×D172D411yescharacteristic
227C22×D172C2311yescharacteristic
228C22×C22⋊D43—21no—
229C22×C22⋊D43—21no—
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×D43—21no—
239C2×D4×D43—21no—
240C2×D4×D43C2311yescharacteristic
241C2×D4×D43C2311yescharacteristic
242C2×D4×D43C2311yescharacteristic
243C2×D4×D43C2311yescharacteristic
244C22×C4×D43C2311yescharacteristic
245C22×C4×D43C2311yescharacteristic
246#13063352—42no—
247#13063349—42no—
248#13063346—42no—
249C2×#10621885C2311yescharacteristic
250C2×#10621873C2311yescharacteristic
251C2×#10621873C2311yescharacteristic
252C2×#10621883C2311yescharacteristic
253C2×#10621884C2311yescharacteristic
254C2×D344C2311yescharacteristic
255C2×D344C2311yescharacteristic
256C2×#10621882C2311yescharacteristic
257C2×#10621882C2311yescharacteristic
258C2×#10621882C2311yescharacteristic
259C2×#10621882C2311yescharacteristic
260C2×#10621882C2311yescharacteristic
261D8×D43—42no—
262C2×#10621877C2311yescharacteristic
263C2×#10621877C2311yescharacteristic
264C2×#10621872C2311yescharacteristic
265C2×#10621872C2311yescharacteristic
266C2×#10621872C2311yescharacteristic
267C2×#10621872C2311yescharacteristic
268M16×D43—42no—
269M16×D43—42no—
270C2×C8×D43C2311yescharacteristic
271C2×C8×D43C2311yescharacteristic
272C2×C8×D43C2311yescharacteristic
273C2×C8×D43C2311yescharacteristic
274#13063322—21no—
275#13063321—21no—
276#13063321—21no—
277#13063321—21no—
278#13063321—21no—
279#13063321—21no—
280#13063313—21no—
281#13063312—21no—
282#13063311—21no—
283#13063311—21no—
284#13063311—21no—
285#13063311—21no—
286#13063310—21no—
287#13063310—21no—
288#13063308—21no—
289#13063307—21no—
290#13063307—21no—
291#13063305—21no—
292#13063305C2311yescharacteristic
293#13063305C2311yescharacteristic
294#13063304—21no—
295#13063304C2311yescharacteristic
296#13063304C2311yescharacteristic
297#13063303—21no—
298#13063303—21no—
299#13063302—21no—
300#13063302—21no—
301#13063301C2311yescharacteristic
302#13063301C2311yescharacteristic
303#13063300—21no—
304#13063300—21no—
305#13063300—21no—
306#13063300C2311yescharacteristic
307#13063300C2311yescharacteristic
308#13063300C2311yescharacteristic
309#13063300C2311yescharacteristic
310#13063300C2311yescharacteristic
311#13063300C2311yescharacteristic
312#13063299—21no—
313#13063299—21no—
314#13063299—21no—
315#13063299—21no—
316#13063299—21no—
317#13063299C2311yescharacteristic
318#13063299C2311yescharacteristic
319#13063299C2311yescharacteristic
320#13063299C2311yescharacteristic
321#13063299C2311yescharacteristic
322#13063299C2311yescharacteristic
323#13063298—21no—
324#13063298—21no—
325#13063298—21no—
326#13063298—21no—
327#13063298—21no—
328#13063298—21no—
329#13063298—21no—
330#13063298—21no—
331#13063298—21no—
332#13063298—21no—
333#13063297—21no—
334#13063297—21no—
335#13063297—21no—
336#13063297—21no—
337#13063297—21no—
338#13063297—21no—
339#13063297—21no—
340#13063297—21no—
341#13063296—21no—
342#13063296—21no—
343#13063296C2311yescharacteristic
344#13063296C2311yescharacteristic
345#13063296C2311yescharacteristic
346#13063296C2311yescharacteristic
347#13063296C2311yescharacteristic
348#13063296C2311yescharacteristic
349#13063295—21no—
350#13063295—21no—
351#13063295—21no—
352#13063295—21no—
353#13063295—21no—
354#13063295—21no—
355#13063295—21no—
356#13063295—21no—
357#13063294—21no—
358#13063294—21no—
359#13063294—21no—
360#13063293—21no—
361#13063293—21no—
362#13063293—21no—
363#13063293—21no—
364#13063293—21no—
365#13063293—21no—
366C4×Dic86—21no—
367#13063290—21no—
368C4×D172—21no—
369D4×Dic43—21no—
370D4×Dic43—21no—
371#13063287—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(C22⋊D43)⋊C4—21no—
383(C22⋊D43)⋊C4—21no—
384#13063284C2311yescharacteristic
385#13063283C2311yescharacteristic
386#13063283C2311yescharacteristic
387#13063283C2311yescharacteristic
388#13063283C2311yescharacteristic
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—
398C22⋊C4×D43—21no—
399#13063259C2311yescharacteristic
400#13063259C2311yescharacteristic
401#13063258C2311yescharacteristic
402#13063258C2311yescharacteristic
403#13063257C2311yescharacteristic
404#13063257C2311yescharacteristic
405#13063256C2311yescharacteristic
406#13063256C2311yescharacteristic
407#13063256C2311yescharacteristic
408#13063256C2311yescharacteristic
409#13063256C2311yescharacteristic
410#13063256C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
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
448C22×D4×C43—21no—
449C22×D4×C43C2311yescharacteristic
450C23×C4×C43C2311yescharacteristic
451C2×SD16×C43C2311yescharacteristic
452C2×SD16×C43C2311yescharacteristic
453C2×D8×C43C2311yescharacteristic
454C2×D8×C43C2311yescharacteristic
455C2×M16×C43C2311yescharacteristic
456C2×M16×C43C2311yescharacteristic
457#123×C43—21no—
458C22⋊Q8×C43C2311yescharacteristic
459C22⋊Q8×C43C2311yescharacteristic
460#121×C43—21no—
461#121×C43—21no—
462#121×C43C2311yescharacteristic
463#121×C43C2311yescharacteristic
464#121×C43C2311yescharacteristic
465#121×C43C2311yescharacteristic
466#121×C43C2311yescharacteristic
467#121×C43C2311yescharacteristic
468#120×C43—21no—
469C4×D4×C43—21no—
470C4×D4×C43—21no—
471#117×C43C2311yescharacteristic
472C2×C4⋊C4×C43C2311yescharacteristic
473C2×C22⋊C4×C43—21no—
474#107×C43C2311yescharacteristic
475#107×C43C2311yescharacteristic
476#106×C43C2311yescharacteristic
477#106×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#102×C43C2311yescharacteristic
481#102×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×C43—21no—
491C24×C43C2×D411yescharacteristic
492C23×D43—21no—
493C23×D43—21no—
494C23×D43—21no—
495C23×D43—21no—
496C23×D43—21no—
497C23×D43C2×D411yescharacteristic
498C23×D43C2×D411yescharacteristic
499#41×C43—41no—
500#41×C43—41no—
501C2×Q8×C43C2411yescharacteristic
502C2×D4×C43—21no—
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×C43—21no—
510C2×D4×C43—41no—
511C2×D4×C43—41no—
512C2×D4×C43—82no—
513C2×D4×C43C2411yescharacteristic
514C2×D4×C43C2411yescharacteristic
515C2×D4×C43C2411yescharacteristic
516C22×C4×C43—21no—
517C22×C4×C43—21no—
518C22×C4×C43—41no—
519C22×C4×C43—41no—
520C22×C4×C43C2×D411yescharacteristic
521C22×C4×C43C2×D411yescharacteristic
522C22×C4×C43C2×D411yescharacteristic
523C22×C4×C43C2411yescharacteristic
524C22×C4×C43C2411yescharacteristic
525C22×C4×C43C2411yescharacteristic
526C2×C22⋊D43—21no—
527C2×C22⋊D43—21no—
528C2×C22⋊D43—21no—
529C2×C22⋊D43—21no—
530C2×C22⋊D43—21no—
531C2×C22⋊D43—21no—
532C2×C22⋊D43—21no—
533C2×C22⋊D43—21no—
534C2×C22⋊D43—21no—
535C2×C22⋊D43—21no—
536C2×C22⋊D43—21no—
537C2×C22⋊D43—21no—
538C2×C22⋊D43—21no—
539C2×C22⋊D43—21no—
540C2×C22⋊D43—21no—
541C2×C22⋊D43—21no—
542C2×C22⋊D43—21no—
543C2×C22⋊D43—21no—
544C2×C22⋊D43—21no—
545C2×C22⋊D43—42no—
546C2×C22⋊D43—42no—
547C2×C22⋊D43—44no—
548C2×C22⋊D43—44no—
549C2×C22⋊D43—82no—
550C2×C22⋊D43C2×D411yescharacteristic
551C2×C22⋊D43C2×D411yescharacteristic
552C2×C22⋊D43C2×D411yescharacteristic
553C2×C22⋊D43C2×D411yescharacteristic
554C2×C22⋊D43C2×D411yescharacteristic
555C2×C22⋊D43C2×D411yescharacteristic
556C2×C22⋊D43C2×D411yescharacteristic
557C2×C22⋊D43C2×D411yescharacteristic
558C22×Dic43—21no—
559C22×Dic43—21no—
560C22×Dic43—21no—
561C22×Dic43C2×D411yescharacteristic
562C22×Dic43C2×D411yescharacteristic
563#10621902—22no—
564#10621902—22no—
565#10621902—41no—
566#10621902—41no—
567#10621900—22no—
568#10621900—22no—
569#10621900—41no—
570#10621900—41no—
571#10621900—44no—
572D4×D43—22no—
573D4×D43—22no—
574D4×D43—22no—
575D4×D43—22no—
576D4×D43—41no—
577D4×D43—41no—
578D4×D43—41no—
579D4×D43—41no—
580D4×D43—44no—
581D4×D43—44no—
582D4×D43—44no—
583D4×D43—82no—
584D4×D43—82no—
585D4×D43—82no—
586D4×D43—82no—
587#10621898—22no—
588#10621898—22no—
589#10621898—22no—
590#10621898—22no—
591#10621898—42no—
592#10621898—42no—
593#10621898—41no—
594#10621898—41no—
595#10621898—44no—
596#10621898—41no—
597#10621898—41no—
598#10621898—41no—
599#10621898—41no—
600#10621898—42no—
601#10621898—42no—
602C2×D172—21no—
603C2×D172—21no—
604C2×D172—21no—
605C2×D172—21no—
606C2×D172—21no—
607C2×D172—21no—
608C2×D172—21no—
609C2×D172—21no—
610C2×D172—21no—
611C2×D172—42no—
612C2×D172—41no—
613C2×D172—41no—
614C2×D172—44no—
615C2×D172C2×D411yescharacteristic
616C2×D172C2×D411yescharacteristic
617C2×D172C2×D411yescharacteristic
618C2×D172C2×D411yescharacteristic
619C2×D172C2411yescharacteristic
620C2×D172C2411yescharacteristic
621C2×D172C2411yescharacteristic
622C2×C4×D43—22no—
623C2×C4×D43—22no—
624C2×C4×D43—21no—
625C2×C4×D43—21no—
626C2×C4×D43—21no—
627C2×C4×D43—21no—
628C2×C4×D43—21no—
629C2×C4×D43—21no—
630C2×C4×D43—21no—
631C2×C4×D43—41no—
632C2×C4×D43—41no—
633C2×C4×D43C2×D411yescharacteristic
634C2×C4×D43C2×D411yescharacteristic
635C2×C4×D43C2×D411yescharacteristic
636C2×C4×D43C2×D411yescharacteristic
637C2×C4×D43C2411yescharacteristic
638C2×C4×D43C2411yescharacteristic
639C2×C4×D43C2411yescharacteristic
640C2×C4×D43C2411yescharacteristic
641C2×Dic86—42no—
642C2×Dic86C2×D411yescharacteristic
643C2×Dic86C2×D411yescharacteristic
644C2×Dic86C2×D411yescharacteristic
645C2×Dic86C2×D411yescharacteristic
646C2×Dic86C2411yescharacteristic
647SD16×C43—41no—
648SD16×C43—41no—
649D8×C43—41no—
650D8×C43—41no—
651M16×C43—41no—
652M16×C43—41no—
653C2×C8×C43C2411yescharacteristic
654C2×C8×C43C2411yescharacteristic
655C2×C8×C43C2411yescharacteristic
656C2×C8×C43C2411yescharacteristic
657C4⋊C4×C43—21no—
658C4⋊C4×C43—21no—
659C4⋊C4×C43—21no—
660C4⋊C4×C43C2411yescharacteristic
661C4⋊C4×C43C2411yescharacteristic
662C4⋊C4×C43C2411yescharacteristic
663C4⋊C4×C43C2411yescharacteristic
664C22⋊C4×C43—21no—
665C22⋊C4×C43—21no—
666C22⋊C4×C43—21no—
667C22⋊C4×C43—21no—
668C22⋊C4×C43—21no—
669C22⋊C4×C43—21no—
670C22⋊C4×C43—21no—
671C22⋊C4×C43—21no—
672C22⋊C4×C43—21no—
673C42×C43—21no—
674C22⋊Dic43—21no—
675C22⋊Dic43—21no—
676C22⋊Dic43—21no—
677C22⋊Dic43—21no—
678C22⋊Dic43—21no—
679C22⋊Dic43—21no—
680C22⋊Dic43—21no—
681C22⋊Dic43—21no—
682C22⋊Dic43—21no—
683#10621885—41no—
684#10621884—41no—
685#10621883—41no—
686#10621882—41no—
687#10621882—41no—
688#10621882—41no—
689#10621882—41no—
690#10621882—41no—
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—
706(C2×D43)⋊C4—21no—
707(C2×D43)⋊C4—21no—
708(C2×D43)⋊C4—21no—
709(C2×D43)⋊C4—21no—
710(C2×D43)⋊C4—21no—
711C4⋊Dic43—21no—
712C4⋊Dic43—21no—
713C4⋊Dic43—21no—
714C4⋊Dic43C2411yescharacteristic
715C4⋊Dic43C2411yescharacteristic
716C4⋊Dic43C2411yescharacteristic
717C4⋊Dic43C2411yescharacteristic
718Dic43⋊C4—21no—
719Dic43⋊C4—21no—
720Dic43⋊C4—21no—
721Dic43⋊C4—21no—
722Dic43⋊C4—21no—
723Dic43⋊C4—21no—
724Dic43⋊C4—21no—
725Dic43⋊C4—21no—
726C4×Dic43—21no—
727C4×Dic43—21no—
728C4×Dic43—21no—
729C4×Dic43—21no—
730C4×Dic43—21no—
731#10621877—41no—
732#10621877—41no—
733C2×C43⋊C8C2411yescharacteristic
734C2×C43⋊C8C2411yescharacteristic
735C2×C43⋊C8C2411yescharacteristic
736C2×C43⋊C8C2411yescharacteristic
737D344—41no—
738D344—41no—
739#10621873—41no—
740#10621873—41no—
741#10621872—22no—
742#10621872—22no—
743#10621872—41no—
744#10621872—41no—
745C8×D43—22no—
746C8×D43—22no—
747C8×D43—41no—
748C8×D43—41no—
749C23×C43—21no—
750C23×C43—21no—
751C23×C43—21no—
752C23×C43—41no—
753C23×C43—41no—
754C23×C43—41no—
755C23×C43—42no—
756C23×C43—81no—
757C23×C43—81no—
758C23×C43C22×D411yescharacteristic
759C23×C43C22×D411yescharacteristic
760C23×C43C22×D411yescharacteristic
761C22×D43—22no—
762C22×D43—21no—
763C22×D43—21no—
764C22×D43—21no—
765C22×D43—41no—
766C22×D43—41no—
767C22×D43—41no—
768C22×D43—41no—
769C22×D43—41no—
770C22×D43—42no—
771C22×D43—42no—
772C22×D43—42no—
773C22×D43—42no—
774C22×D43—42no—
775C22×D43—81no—
776C22×D43—81no—
777C22×D43—81no—
778C22×D43—81no—
779C22×D43—81no—
780C22×D43—81no—
781C22×D43—81no—
782C22×D43—81no—
783C22×D43—81no—
784C22×D43—81no—
785C22×D43C22×D411yescharacteristic
786C22×D43C22×D411yescharacteristic
787C22×D43C22×D411yescharacteristic
788C22×D43C22×D411yescharacteristic
789Q8×C43—21no—
790Q8×C43—21no—
791D4×C43—21no—
792D4×C43—21no—
793D4×C43—21no—
794D4×C43—21no—
795D4×C43—21no—
796D4×C43—21no—
797D4×C43—42no—
798D4×C43—42no—
799D4×C43—42no—
800D4×C43—42no—
801D4×C43—42no—
802D4×C43—81no—
803D4×C43—81no—
804D4×C43—81no—
805C2×C4×C43—21no—
806C2×C4×C43—21no—
807C2×C4×C43—21no—
808C2×C4×C43—21no—
809C2×C4×C43—21no—
810C2×C4×C43—21no—
811C2×C4×C43—21no—
812C2×C4×C43—21no—
813C2×C4×C43—21no—
814C2×C4×C43—21no—
815C2×C4×C43—21no—
816C2×C4×C43—41no—
817C2×C4×C43—41no—
818C2×C4×C43—41no—
819C2×C4×C43—42no—
820C2×C4×C43—81no—
821C2×C4×C43C22×D411yescharacteristic
822C2×C4×C43C22×D411yescharacteristic
823C2×C4×C43C22×D411yescharacteristic
824C2×C4×C43C2511yescharacteristic
825C22⋊D43—22no—
826C22⋊D43—22no—
827C22⋊D43—22no—
828C22⋊D43—22no—
829C22⋊D43—41no—
830C22⋊D43—41no—
831C22⋊D43—41no—
832C22⋊D43—41no—
833C22⋊D43—42no—
834C22⋊D43—42no—
835C22⋊D43—42no—
836C22⋊D43—42no—
837C22⋊D43—42no—
838C22⋊D43—42no—
839C22⋊D43—42no—
840C22⋊D43—42no—
841C22⋊D43—42no—
842C22⋊D43—42no—
843C22⋊D43—81no—
844C22⋊D43—81no—
845C22⋊D43—81no—
846C22⋊D43—81no—
847C22⋊D43—81no—
848C22⋊D43—81no—
849C22⋊D43—81no—
850C22⋊D43—81no—
851C22⋊D43—81no—
852C2×Dic43—22no—
853C2×Dic43—21no—
854C2×Dic43—21no—
855C2×Dic43—21no—
856C2×Dic43—21no—
857C2×Dic43—21no—
858C2×Dic43—41no—
859C2×Dic43—42no—
860C2×Dic43—42no—
861C2×Dic43—81no—
862C2×Dic43C22×D411yescharacteristic
863C2×Dic43C22×D411yescharacteristic
864C2×Dic43C22×D411yescharacteristic
865C2×Dic43C22×D411yescharacteristic
866D172—22no—
867D172—22no—
868D172—21no—
869D172—21no—
870D172—21no—
871D172—21no—
872D172—21no—
873D172—21no—
874D172—41no—
875D172—41no—
876D172—42no—
877D172—42no—
878D172—42no—
879D172—81no—
880D172—81no—
881D172—81no—
882D172—81no—
883D172—81no—
884D172—81no—
885C4×D43—22no—
886C4×D43—21no—
887C4×D43—21no—
888C4×D43—21no—
889C4×D43—21no—
890C4×D43—21no—
891C4×D43—21no—
892C4×D43—22no—
893C4×D43—41no—
894C4×D43—41no—
895C4×D43—42no—
896C4×D43—42no—
897C4×D43—42no—
898C4×D43—81no—
899C4×D43—81no—
900C4×D43—81no—
901C4×D43—81no—
902C4×D43H(5,𝔽2)12yes—
903C4×D43H(5,𝔽2)12yes—
904Dic86—22no—
905Dic86—22no—
906Dic86—21no—
907Dic86—21no—
908Dic86—41no—
909Dic86—41no—
910C8×C43—21no—
911C8×C43—21no—
912C8×C43—21no—
913C8×C43—21no—
914C43⋊C8—21no—
915C43⋊C8—21no—
916C43⋊C8—21no—
917C43⋊C8—21no—
918#60771—431nomaximal, Sylow
919C22×C43—21no—
920C22×C43—21no—
921C22×C43—21no—
922C22×C43—21no—
923C22×C43—21no—
924C22×C43—21no—
925C22×C43—21no—
926C22×C43—21no—
927C22×C43—21no—
928C22×C43—41no—
929C22×C43—41no—
930C22×C43—41no—
931C22×C43—41no—
932C22×C43—41no—
933C22×C43—41no—
934C22×C43—41no—
935C22×C43—41no—
936C22×C43—41no—
937C22×C43—82no—
938C22×C43—162no—
939C22×C43C23×D411yescharacteristic
940C2×D43—21no—
941C2×D43—21no—
942C2×D43—21no—
943C2×D43—21no—
944C2×D43—21no—
945C2×D43—21no—
946C2×D43—21no—
947C2×D43—21no—
948C2×D43—21no—
949C2×D43—21no—
950C2×D43—21no—
951C2×D43—41no—
952C2×D43—41no—
953C2×D43—41no—
954C2×D43—41no—
955C2×D43—41no—
956C2×D43—41no—
957C2×D43—41no—
958C2×D43—41no—
959C2×D43—41no—
960C2×D43—82no—
961C2×D43—82no—
962C2×D43—162no—
963C2×D43—162no—
964C2×D43—162no—
965C2×D43—162no—
966C2×D43—162no—
967C2×D43#53412yes—
968C4×C43—21no—
969C4×C43—21no—
970C4×C43—21no—
971C4×C43—41no—
972C4×C43—41no—
973C4×C43—41no—
974C4×C43—41no—
975C4×C43—41no—
976C4×C43C2×H(5,𝔽2)11yescharacteristic
977C4×C43C2×H(5,𝔽2)11yescharacteristic
978Dic43—21no—
979Dic43—21no—
980Dic43—21no—
981Dic43—41no—
982Dic43—41no—
983Dic43—41no—
984Dic43—41no—
985Dic43—41no—
986Dic43#53412yes—
987#3488—431no—
988#3488—431no—
989#3204—431no—
990#3204—431no—
991#3199—431no—
992#3199—431no—
993#3198—431no—
994#3198—431no—
995#3198—431no—
996#3198—431no—
997#3197—431no—
998#3197—431no—
999#3194—431no—
1000#3194—431no—
1001#3194—431no—
1002#3194D4311yescharacteristic, complemented
1003#3192—431no—
1004#3192—431no—
1005#3099—431no—
1006#3099—431no—
1007#3096—431no—
1008#3096—431no—
1009#3055—431no—
1010#3055—431no—
1011#3054—431no—
1012C2×#469—431no—
1013#3012—431no—
1014#3012—431no—
1015#3008—431no—
1016#3008—431no—
1017#2879—431no—
1018C2×C43—41no—
1019C2×C43—41no—
1020C2×C43—41no—
1021C2×C43—81no—
1022C2×C43—81no—
1023C2×C43—81no—
1024C2×C43C2×#53411yescharacteristic
1025C2×C43#358511yescharacteristic
1026C2×C43#358511yescharacteristic
1027D43—22no—
1028D43—41no—
1029D43—41no—
1030D43—41no—
1031D43—81no—
1032D43—81no—
1033D43—81no—
1034C2×H(5,𝔽2)—431no—
1035C2×H(5,𝔽2)—431no—
1036C22×#41—431no—
1037C2×AGL(1,ℤ/8)—431no—
1038C2×AGL(1,ℤ/8)—431no—
1039C2×#135—431no—
1040C22×D8—431no—
1041C22×M16—431no—
1042C22×M16—431no—
1043#550—861no—
1044#550—861no—
1045#548—861no—
1046#548—861no—
1047#546—861no—
1048#546—861no—
1049#546—861no—
1050#546—861no—
1051#546—861no—
1052#546—861no—
1053D42—861no—
1054D42—861no—
1055D42—861no—
1056D42—861no—
1057D42—861no—
1058D42—861no—
1059#537—431no—
1060#537—431no—
1061#537—431no—
1062#537—431no—
1063#537—431no—
1064#537—431no—
1065#535—431no—
1066#535—431no—
1067#535—431no—
1068#535—431no—
1069#535—431no—
1070#535—431no—
1071#525—431no—
1072#525—431no—
1073#525—431no—
1074#525—431no—
1075#525—431no—
1076#525C2×D4311yescharacteristic, complemented
1077C2×#121—431no—
1078C2×#121—431no—
1079C2×#121—431no—
1080C2×#121—431no—
1081C2×#121—431no—
1082C2×#121C2×D4311yescharacteristic, complemented
1083#520—431no—
1084#520—431no—
1085#485—431no—
1086#485—431no—
1087#485—431no—
1088#485—431no—
1089#483—431no—
1090#483—431no—
1091#483—431no—
1092#483C2×D4311yescharacteristic, complemented
1093#482—431no—
1094#482—431no—
1095#482—431no—
1096#482—431no—
1097#482—431no—
1098#482—431no—
1099#482—431no—
1100#482—431no—
1101#482—431no—
1102#482—431no—
1103#482C2×D4311yescharacteristic, complemented
1104#482C2×D4311yescharacteristic, complemented
1105#481—431no—
1106#481—431no—
1107#481—431no—
1108#481—431no—
1109#481—431no—
1110#481—431no—
1111#481—431no—
1112#481—431no—
1113#480—431no—
1114#480—431no—
1115#480—431no—
1116#480C2×D4311yescharacteristic, complemented
1117#470—431no—
1118#470—431no—
1119#469—431no—
1120#469—431no—
1121#469—431no—
1122#469—431no—
1123#469—431no—
1124#469—431no—
1125#469—431no—
1126#469—431no—
1127#469—431no—
1128#469—431no—
1129#469—431no—
1130#469—431no—
1131#469C2×D4311yescharacteristic, complemented
1132#469C2×D4311yescharacteristic, complemented
1133#468—431no—
1134#468—431no—
1135#468—431no—
1136#468—431no—
1137#468—431no—
1138#468—431no—
1139#468C2×D4311yescharacteristic, complemented
1140#468C2×D4311yescharacteristic, complemented
1141#466—431no—
1142#466—431no—
1143#466—431no—
1144#466—431no—
1145#465—431no—
1146#465—431no—
1147#465—431no—
1148#465—431no—
1149#452—431no—
1150#452—431no—
1151#452—431no—
1152#452—431no—
1153#450—431no—
1154#450—431no—
1155#450—431no—
1156#450C2×D4311yescharacteristic, complemented
1157#449—431no—
1158#449—431no—
1159#449—431no—
1160#449—431no—
1161#449—431no—
1162#449—431no—
1163#449—431no—
1164#449—431no—
1165#449—431no—
1166#449—431no—
1167#449C2×D4311yescharacteristic, complemented
1168#449C2×D4311yescharacteristic, complemented
1169#447—431no—
1170#447—431no—
1171#447—431no—
1172#447—431no—
1173#447—431no—
1174#447—431no—
1175#447—431no—
1176#447—431no—
1177#447—431no—
1178#447—431no—
1179#447—431no—
1180#447C2×D4311yescharacteristic, complemented
1181#428—431no—
1182#428—431no—
1183#427—431no—
1184C2×#106—431no—
1185#418—431no—
1186#418—431no—
1187#417—431no—
1188#417—431no—
1189#416—431no—
1190#416—431no—
1191C2×#102—431no—
1192C2×#102—431no—
1193#408—431no—
1194#408—431no—
1195#408—431no—
1196#408—431no—
1197#408—431no—
1198#408—431no—
1199#408—431no—
1200#408—431no—
1201#407—431no—
1202#407—431no—
1203#407—431no—
1204#407C2×D4311yescharacteristic, complemented
1205C43#6077111yescharacteristic, complemented, Sylow
1206H(5,𝔽2)—1722no—
1207H(5,𝔽2)—1722no—
1208H(5,𝔽2)—1722no—
1209H(5,𝔽2)—1722no—
1210C2×#41—431no—
1211C2×#41—431no—
1212C2×#41—431no—
1213C2×#41—431no—
1214C2×#41—431no—
1215C2×#41—431no—
1216C2×#41—431no—
1217C2×#41—431no—
1218C2×#41—431no—
1219C2×#41—431no—
1220C2×#41—431no—
1221C2×#41—431no—
1222C2×#41—431no—
1223C2×#41—861no—
1224C2×#41—861no—
1225C2×#41—1722no—
1226C2×#41—1722no—
1227C2×#41C22×D4311yescharacteristic
1228C22×Q8—431no—
1229C22×D4—21no—
1230C22×D4—431no—
1231C22×D4—431no—
1232C22×D4—431no—
1233C22×D4—431no—
1234C22×D4—431no—
1235C22×D4—431no—
1236C22×D4—431no—
1237C22×D4—431no—
1238C22×D4—861no—
1239C22×D4—861no—
1240C22×D4—861no—
1241C22×D4—861no—
1242C22×D4—861no—
1243C22×D4—861no—
1244C22×D4—861no—
1245C22×D4—861no—
1246C22×D4—861no—
1247C22×D4—861no—
1248C22×D4—861no—
1249C22×D4C22×D4311yescharacteristic
1250C23×C4—431no—
1251C23×C4—431no—
1252C23×C4C22×D4311yescharacteristic
1253AGL(1,ℤ/8)—1722no—
1254AGL(1,ℤ/8)—1722no—
1255#135—1722no—
1256C2×Q16—431no—
1257C2×SD16—431no—
1258C2×SD16—431no—
1259C2×SD16—431no—
1260C2×SD16—431no—
1261C2×SD16C22×D4311yescharacteristic
1262C2×SD16C22×D4311yescharacteristic
1263C2×D8—431no—
1264C2×D8—431no—
1265C2×D8—431no—
1266C2×D8—431no—
1267C2×D8—431no—
1268C2×D8—431no—
1269C2×D8—431no—
1270C2×D8—1722no—
1271C2×D8C22×D4311yescharacteristic
1272C2×D8C22×D4311yescharacteristic
1273C2×M16—431no—
1274C2×M16—431no—
1275C2×M16—431no—
1276C2×M16—431no—
1277C2×M16—431no—
1278C2×M16—431no—
1279C2×M16—1722no—
1280C2×M16—1722no—
1281C2×M16C22×D4311yescharacteristic
1282C2×M16C22×D4311yescharacteristic
1283C22×C8—431no—
1284C22×C8—431no—
1285C22×C8—431no—
1286C22×C8—431no—
1287#127—861no—
1288#127—861no—
1289#127—861no—
1290#127—861no—
1291#127—861no—
1292#127—861no—
1293#124—861no—
1294#124—861no—
1295#124—861no—
1296#124—861no—
1297#124—861no—
1298#124—861no—
1299#123—21no—
1300#123—861no—
1301#123—861no—
1302#123—861no—
1303#123—861no—
1304#123—861no—
1305C22⋊Q8—431no—
1306C22⋊Q8—431no—
1307C22⋊Q8—431no—
1308C22⋊Q8—431no—
1309C22⋊Q8—431no—
1310C22⋊Q8—431no—
1311C22⋊Q8—861no—
1312C22⋊Q8—861no—
1313C22⋊Q8—861no—
1314C22⋊Q8—861no—
1315C22⋊Q8—861no—
1316C22⋊Q8—861no—
1317C22⋊Q8C22×D4311yescharacteristic
1318C22⋊Q8C22×D4311yescharacteristic
1319#121—21no—
1320#121—21no—
1321#121—431no—
1322#121—431no—
1323#121—431no—
1324#121—431no—
1325#121—431no—
1326#121—431no—
1327#121—431no—
1328#121—431no—
1329#121—431no—
1330#121—431no—
1331#121—431no—
1332#121—431no—
1333#121—431no—
1334#121—431no—
1335#121—431no—
1336#121—431no—
1337#121—431no—
1338#121—431no—
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#121—861no—
1355#121—861no—
1356#121—861no—
1357#121—861no—
1358#121—861no—
1359#121—861no—
1360#121—861no—
1361#121—861no—
1362#121—861no—
1363#121—861no—
1364#121—861no—
1365#121—861no—
1366#121—861no—
1367#121C22×D4311yescharacteristic
1368#121C22×D4311yescharacteristic
1369#121C22×D4311yescharacteristic
1370#121C22×D4311yescharacteristic
1371#121C22×D4311yescharacteristic
1372#121C22×D4311yescharacteristic
1373#120—21no—
1374#120—861no—
1375#120—861no—
1376#120—861no—
1377#120—861no—
1378#120—861no—
1379#120—861no—
1380#120—861no—
1381#120—861no—
1382#120—861no—
1383#120—861no—
1384#120—861no—
1385#120—861no—
1386#120—861no—
1387#120—861no—
1388#120—861no—
1389#120—861no—
1390#120—861no—
1391C4×Q8—861no—
1392C4×Q8—861no—
1393C4×D4—21no—
1394C4×D4—21no—
1395C4×D4—861no—
1396C4×D4—861no—
1397C4×D4—861no—
1398C4×D4—861no—
1399C4×D4—861no—
1400C4×D4—861no—
1401C4×D4—861no—
1402C4×D4—861no—
1403C4×D4—861no—
1404C4×D4—861no—
1405C4×D4—861no—
1406C4×D4—861no—
1407C4×D4—861no—
1408C4×D4—861no—
1409C4×D4—861no—
1410C4×D4—861no—
1411#117—431no—
1412#117—431no—
1413#117—431no—
1414#117—431no—
1415#117—431no—
1416#117C22×D4311yescharacteristic
1417C2×C4⋊C4—431no—
1418C2×C4⋊C4—431no—
1419C2×C4⋊C4—431no—
1420C2×C4⋊C4—431no—
1421C2×C4⋊C4—431no—
1422C2×C4⋊C4C22×D4311yescharacteristic
1423C2×C22⋊C4—21no—
1424C2×C22⋊C4—861no—
1425C2×C22⋊C4—861no—
1426C2×C22⋊C4—861no—
1427C2×C22⋊C4—861no—
1428C2×C22⋊C4—861no—
1429#107—431no—
1430#107—431no—
1431#107—431no—
1432#107—431no—
1433#107C22×D4311yescharacteristic
1434#107C22×D4311yescharacteristic
1435#106—431no—
1436#106—431no—
1437#106—431no—
1438#106—431no—
1439#106—431no—
1440#106—431no—
1441#106—431no—
1442#106—431no—
1443#106C22×D4311yescharacteristic
1444#106C22×D4311yescharacteristic
1445#103—431no—
1446#103—431no—
1447#103—431no—
1448#103—431no—
1449#103—431no—
1450#103—431no—
1451#103C22×D4311yescharacteristic
1452#103C22×D4311yescharacteristic
1453#102—431no—
1454#102—431no—
1455#102—431no—
1456#102—431no—
1457#102—431no—
1458#102—431no—
1459#102—431no—
1460#102—431no—
1461#102—431no—
1462#102—431no—
1463#102—431no—
1464#102—431no—
1465#102—431no—
1466#102—431no—
1467#102—431no—
1468#102—431no—
1469#102—431no—
1470#102—431no—
1471#102C22×D4311yescharacteristic
1472#102C22×D4311yescharacteristic
1473#102C22×D4311yescharacteristic
1474#102C22×D4311yescharacteristic
1475#102C22×D4311yescharacteristic
1476#102C22×D4311yescharacteristic
1477C22⋊C8—431no—
1478C22⋊C8—431no—
1479C22⋊C8—431no—
1480C22⋊C8—431no—
1481C22⋊C8—431no—
1482C22⋊C8—431no—
1483C22⋊C8—431no—
1484C22⋊C8—431no—
1485C22⋊C8—431no—
1486C22⋊C8—431no—
1487C22⋊C8—431no—
1488C22⋊C8—431no—
1489C22⋊C8C22×D4311yescharacteristic
1490C22⋊C8C22×D4311yescharacteristic
1491C22⋊C8C22×D4311yescharacteristic
1492C22⋊C8C22×D4311yescharacteristic
1493C24—21no—
1494C24—431no—
1495C24—431no—
1496C24—861no—
1497C24—861no—
1498C24—861no—
1499C24—861no—
1500C24—861no—
1501C24D4×D4311yescharacteristic
1502#41—41no—
1503#41—41no—
1504#41—862no—
1505#41—862no—
1506#41—862no—
1507#41—862no—
1508#41—862no—
1509#41—862no—
1510#41—862no—
1511#41—862no—
1512#41—1721no—
1513#41—1721no—
1514#41—1721no—
1515#41—1721no—
1516#41—1721no—
1517#41—1721no—
1518#41—1722no—
1519#41—1722no—
1520#41—1722no—
1521#41—1722no—
1522#41—1724no—
1523#41—1721no—
1524#41—1721no—
1525#41—1721no—
1526#41—1721no—
1527#41—1724no—
1528C2×Q8—431no—
1529C2×Q8—431no—
1530C2×Q8—431no—
1531C2×Q8—431no—
1532C2×Q8—431no—
1533C2×Q8—1722no—
1534C2×Q8C23×D4311yescharacteristic
1535C2×D4—21no—
1536C2×D4—21no—
1537C2×D4—21no—
1538C2×D4—21no—
1539C2×D4—21no—
1540C2×D4—21no—
1541C2×D4—21no—
1542C2×D4—21no—
1543C2×D4—41no—
1544C2×D4—41no—
1545C2×D4—82no—
1546C2×D4—431no—
1547C2×D4—431no—
1548C2×D4—431no—
1549C2×D4—431no—
1550C2×D4—431no—
1551C2×D4—431no—
1552C2×D4—431no—
1553C2×D4—431no—
1554C2×D4—431no—
1555C2×D4—431no—
1556C2×D4—431no—
1557C2×D4—431no—
1558C2×D4—431no—
1559C2×D4—431no—
1560C2×D4—431no—
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—862no—
1570C2×D4—862no—
1571C2×D4—862no—
1572C2×D4—862no—
1573C2×D4—861no—
1574C2×D4—861no—
1575C2×D4—861no—
1576C2×D4—861no—
1577C2×D4—861no—
1578C2×D4—861no—
1579C2×D4—861no—
1580C2×D4—861no—
1581C2×D4—861no—
1582C2×D4—861no—
1583C2×D4—861no—
1584C2×D4—861no—
1585C2×D4—861no—
1586C2×D4—861no—
1587C2×D4—861no—
1588C2×D4—861no—
1589C2×D4—861no—
1590C2×D4—861no—
1591C2×D4—861no—
1592C2×D4—861no—
1593C2×D4—3442no—
1594C2×D4—3442no—
1595C2×D4—3442no—
1596C2×D4—3442no—
1597C2×D4—3442no—
1598C2×D4—1721no—
1599C2×D4—1721no—
1600C2×D4—1722no—
1601C2×D4—1724no—
1602C2×D4—1721no—
1603C2×D4—1721no—
1604C2×D4—1721no—
1605C2×D4—1721no—
1606C2×D4—1722no—
1607C2×D4—1724no—
1608C2×D4—1724no—
1609C2×D4—1724no—
1610C2×D4—1722no—
1611C2×D4—1724no—
1612C2×D4—1724no—
1613C2×D4C23×D4311yescharacteristic
1614C2×D4C23×D4311yescharacteristic
1615C2×D4C23×D4311yescharacteristic
1616C22×C4—21no—
1617C22×C4—21no—
1618C22×C4—41no—
1619C22×C4—41no—
1620C22×C4—431no—
1621C22×C4—431no—
1622C22×C4—431no—
1623C22×C4—431no—
1624C22×C4—431no—
1625C22×C4—431no—
1626C22×C4—431no—
1627C22×C4—431no—
1628C22×C4—431no—
1629C22×C4—431no—
1630C22×C4—862no—
1631C22×C4—862no—
1632C22×C4—861no—
1633C22×C4—861no—
1634C22×C4—861no—
1635C22×C4—861no—
1636C22×C4—861no—
1637C22×C4—861no—
1638C22×C4—861no—
1639C22×C4—861no—
1640C22×C4—861no—
1641C22×C4—861no—
1642C22×C4—1721no—
1643C22×C4—1721no—
1644C22×C4D4×D4311yescharacteristic
1645C22×C4D4×D4311yescharacteristic
1646C22×C4D4×D4311yescharacteristic
1647C22×C4C23×D4311yescharacteristic
1648C22×C4C23×D4311yescharacteristic
1649C22×C4C23×D4311yescharacteristic
1650Q16—1721no—
1651SD16—41no—
1652SD16—41no—
1653SD16—1721no—
1654SD16—1721no—
1655SD16—1721no—
1656SD16—1721no—
1657D8—41no—
1658D8—41no—
1659D8—1721no—
1660D8—1721no—
1661D8—1721no—
1662D8—1721no—
1663D8—1721no—
1664D8—1721no—
1665D8—1721no—
1666M16—41no—
1667M16—41no—
1668M16—862no—
1669M16—862no—
1670M16—1721no—
1671M16—1721no—
1672M16—1721no—
1673M16—1721no—
1674C2×C8—431no—
1675C2×C8—431no—
1676C2×C8—431no—
1677C2×C8—431no—
1678C2×C8—862no—
1679C2×C8—862no—
1680C2×C8—1721no—
1681C2×C8—1721no—
1682C2×C8C23×D4311yescharacteristic
1683C2×C8C23×D4311yescharacteristic
1684C2×C8C23×D4311yescharacteristic
1685C2×C8C23×D4311yescharacteristic
1686C4⋊C4—21no—
1687C4⋊C4—21no—
1688C4⋊C4—21no—
1689C4⋊C4—431no—
1690C4⋊C4—431no—
1691C4⋊C4—431no—
1692C4⋊C4—431no—
1693C4⋊C4—861no—
1694C4⋊C4—861no—
1695C4⋊C4—861no—
1696C4⋊C4—861no—
1697C4⋊C4—861no—
1698C4⋊C4—861no—
1699C4⋊C4—861no—
1700C4⋊C4—861no—
1701C4⋊C4—861no—
1702C4⋊C4—861no—
1703C4⋊C4—861no—
1704C4⋊C4C23×D4311yescharacteristic
1705C4⋊C4C23×D4311yescharacteristic
1706C4⋊C4C23×D4311yescharacteristic
1707C4⋊C4C23×D4311yescharacteristic
1708C22⋊C4—21no—
1709C22⋊C4—21no—
1710C22⋊C4—21no—
1711C22⋊C4—21no—
1712C22⋊C4—21no—
1713C22⋊C4—21no—
1714C22⋊C4—21no—
1715C22⋊C4—21no—
1716C22⋊C4—21no—
1717C22⋊C4—861no—
1718C22⋊C4—861no—
1719C22⋊C4—861no—
1720C22⋊C4—861no—
1721C22⋊C4—861no—
1722C22⋊C4—861no—
1723C22⋊C4—861no—
1724C22⋊C4—861no—
1725C22⋊C4—861no—
1726C22⋊C4—861no—
1727C22⋊C4—861no—
1728C22⋊C4—861no—
1729C22⋊C4—861no—
1730C22⋊C4—861no—
1731C22⋊C4—861no—
1732C22⋊C4—861no—
1733C22⋊C4—861no—
1734C22⋊C4—861no—
1735C22⋊C4—861no—
1736C22⋊C4—861no—
1737C22⋊C4—861no—
1738C22⋊C4—861no—
1739C22⋊C4—861no—
1740C22⋊C4—861no—
1741C22⋊C4—861no—
1742C22⋊C4—861no—
1743C22⋊C4—861no—
1744C22⋊C4—861no—
1745C22⋊C4—861no—
1746C42—21no—
1747C42—861no—
1748C42—861no—
1749C42—861no—
1750C42—861no—
1751C42—861no—
1752C23—21no—
1753C23—21no—
1754C23—21no—
1755C23—41no—
1756C23—41no—
1757C23—41no—
1758C23—42no—
1759C23—81no—
1760C23—81no—
1761C23—431no—
1762C23—431no—
1763C23—431no—
1764C23—431no—
1765C23—862no—
1766C23—861no—
1767C23—861no—
1768C23—861no—
1769C23—3441no—
1770C23—3441no—
1771C23—3441no—
1772C23—3441no—
1773C23—3441no—
1774C23—3441no—
1775C23—3441no—
1776C23—3441no—
1777C23—3441no—
1778C23—3441no—
1779C23—1721no—
1780C23—1721no—
1781C23—1721no—
1782C23—1721no—
1783C23—1721no—
1784C23—1722no—
1785C23—1722no—
1786C23—1722no—
1787C23—1722no—
1788C23—1722no—
1789C23C2×D4×D4311yescharacteristic
1790C23C2×D4×D4311yescharacteristic
1791C23C2×D4×D4311yescharacteristic
1792Q8—21no—
1793Q8—21no—
1794Q8—862no—
1795Q8—862no—
1796Q8—861no—
1797Q8—861no—
1798Q8—1721no—
1799Q8—1721no—
1800D4—21no—
1801D4—21no—
1802D4—21no—
1803D4—21no—
1804D4—21no—
1805D4—21no—
1806D4—42no—
1807D4—42no—
1808D4—42no—
1809D4—42no—
1810D4—42no—
1811D4—81no—
1812D4—81no—
1813D4—81no—
1814D4—862no—
1815D4—862no—
1816D4—862no—
1817D4—862no—
1818D4—862no—
1819D4—862no—
1820D4—861no—
1821D4—861no—
1822D4—861no—
1823D4—861no—
1824D4—861no—
1825D4—861no—
1826D4—3441no—
1827D4—3441no—
1828D4—3441no—
1829D4—3441no—
1830D4—3441no—
1831D4—3441no—
1832D4—3441no—
1833D4—3441no—
1834D4—3441no—
1835D4—3441no—
1836D4—3441no—
1837D4—3441no—
1838D4—3441no—
1839D4—3441no—
1840D4—3441no—
1841D4—1721no—
1842D4—1721no—
1843D4—1722no—
1844D4—1722no—
1845D4—1722no—
1846D4—1722no—
1847D4—1722no—
1848D4—1721no—
1849D4—1721no—
1850D4—1721no—
1851D4—1721no—
1852D4—1722no—
1853D4—1722no—
1854D4—1722no—
1855D4—1722no—
1856D4—1722no—
1857D4—1722no—
1858D4—1722no—
1859D4—1722no—
1860C2×C4—21no—
1861C2×C4—21no—
1862C2×C4—21no—
1863C2×C4—21no—
1864C2×C4—21no—
1865C2×C4—21no—
1866C2×C4—21no—
1867C2×C4—21no—
1868C2×C4—21no—
1869C2×C4—21no—
1870C2×C4—21no—
1871C2×C4—41no—
1872C2×C4—41no—
1873C2×C4—41no—
1874C2×C4—42no—
1875C2×C4—81no—
1876C2×C4—431no—
1877C2×C4—432no—
1878C2×C4—432no—
1879C2×C4—431no—
1880C2×C4—431no—
1881C2×C4—431no—
1882C2×C4—862no—
1883C2×C4—862no—
1884C2×C4—862no—
1885C2×C4—861no—
1886C2×C4—861no—
1887C2×C4—861no—
1888C2×C4—861no—
1889C2×C4—861no—
1890C2×C4—861no—
1891C2×C4—861no—
1892C2×C4—861no—
1893C2×C4—861no—
1894C2×C4—861no—
1895C2×C4—861no—
1896C2×C4—3441no—
1897C2×C4—3441no—
1898C2×C4—3441no—
1899C2×C4—3441no—
1900C2×C4—3441no—
1901C2×C4—1721no—
1902C2×C4—1721no—
1903C2×C4—1722no—
1904C2×C4—1722no—
1905C2×C4—1722no—
1906C2×C4—1722no—
1907C2×C4—1721no—
1908C2×C4—1722no—
1909C2×C4C2×D4×D4311yescharacteristic
1910C2×C4C2×D4×D4311yescharacteristic
1911C2×C4C2×D4×D4311yescharacteristic
1912C2×C4C24×D4311yescharacteristic
1913C8—21no—
1914C8—21no—
1915C8—21no—
1916C8—21no—
1917C8—861no—
1918C8—861no—
1919C8—861no—
1920C8—861no—
1921C22—21no—
1922C22—21no—
1923C22—21no—
1924C22—21no—
1925C22—21no—
1926C22—21no—
1927C22—21no—
1928C22—21no—
1929C22—21no—
1930C22—41no—
1931C22—41no—
1932C22—41no—
1933C22—41no—
1934C22—41no—
1935C22—41no—
1936C22—41no—
1937C22—41no—
1938C22—41no—
1939C22—82no—
1940C22—162no—
1941C22—432no—
1942C22—861no—
1943C22—861no—
1944C22—861no—
1945C22—861no—
1946C22—861no—
1947C22—861no—
1948C22—861no—
1949C22—861no—
1950C22—861no—
1951C22—861no—
1952C22—861no—
1953C22—3442no—
1954C22—3442no—
1955C22—1721no—
1956C22—1721no—
1957C22—1721no—
1958C22—1721no—
1959C22—1721no—
1960C22—1721no—
1961C22—1721no—
1962C22—1721no—
1963C22—1721no—
1964C22—6882no—
1965C22—6882no—
1966C22—6882no—
1967C22—6882no—
1968C22—6882no—
1969C22C22×D4×D4311yescharacteristic
1970C4—21no—
1971C4—21no—
1972C4—21no—
1973C4—41no—
1974C4—41no—
1975C4—41no—
1976C4—41no—
1977C4—41no—
1978C4—432no—
1979C4—861no—
1980C4—861no—
1981C4—861no—
1982C4—1721no—
1983C4—1721no—
1984C4—1721no—
1985C4—1721no—
1986C4—1721no—
1987C4H(5,𝔽2)×D4311yescharacteristic
1988C4H(5,𝔽2)×D4311yescharacteristic
1989C2—41no—
1990C2—41no—
1991C2—41no—
1992C2—81no—
1993C2—81no—
1994C2—81no—
1995C2—862no—
1996C2—3441no—
1997C2—3441no—
1998C2—3441no—
1999C2—1721no—
2000C2—1721no—
2001C2—1721no—
2002C2#534×D4311yescharacteristic
2003C2#1914937111yescharacteristic
2004C2#1914937211yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3194C2
socleC22×C43C23×D4
hypercenter#3194D43
hypocenterC43#60771
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3194

Complements

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

NH ≅ G/Ntype
1. #19148260C2semidirect
2. #19148256C2semidirect
3. #19145505C2semidirect
4. #19145504C2semidirect
5. #19145459C2semidirect
6. #19145458C2semidirect
7. #19145454C2semidirect
8. #19145451C2semidirect
9. #19145445C2semidirect
10. #19145444C2semidirect
11. #19145433C2semidirect
12. #19145432C2semidirect
13. #19145411C2semidirect
14. #19145410C2semidirect
15. #19145404C2semidirect
16. #19145392C2semidirect
17. #19145391C2semidirect
18. #19144587C2semidirect
19. #19144579C2semidirect
20. #19144550C2semidirect
21. #19144546C2semidirect
22. #19144213C2semidirect
23. #19144209C2semidirect
24. #19144199C2semidirect
25. #469×D43C2semidirect
26. #19143900C2semidirect
27. #19143897C2semidirect
28. #19143860C2semidirect
29. #19143858C2semidirect
30. #19143038C2semidirect
31. C43×#3194C2semidirect
32. C2×#13063371C22semidirect
33. C2×#13063370C22semidirect
35. C2×#13063352C22semidirect
36. C2×#13063349C22semidirect
37. C2×#13063346C22semidirect
38. C2×D8×D43C22semidirect
39. C2×M16×D43C22semidirect
40. C2×M16×D43C22semidirect
57. #14583480C22semidirect
59. #14583479C22semidirect
61. #14583478C22semidirect
62. #14583477C22semidirect
63. #14583468C22semidirect
64. #14583466C22semidirect
67. #14583465C22semidirect
68. #14583465C22semidirect
69. #14583412C22semidirect
70. #14583412C22semidirect
71. #14583410C22semidirect
72. #14583409C22semidirect
73. #14583409C22semidirect
74. C2×#13063299C22semidirect
75. #121×D43C22semidirect
76. #121×D43C22semidirect
77. #121×D43C22semidirect
78. #121×D43C22semidirect
79. #14583380C22semidirect
80. #14583379C22semidirect
81. #14583242C22semidirect
82. #14583240C22semidirect
83. #14583239C22semidirect
84. #14583237C22semidirect
85. #14583231C22semidirect
86. #14583230C22semidirect
87. #14583228C22semidirect
88. #14583226C22semidirect
89. #14583226C22semidirect
90. #14583225C22semidirect
91. #14583224C22semidirect
92. #14583224C22semidirect
93. #14583223C22semidirect
94. #14583222C22semidirect
95. #14583221C22semidirect
96. #14583221C22semidirect
97. #14583220C22semidirect
98. #14583219C22semidirect
99. #14583219C22semidirect
100. #14583217C22semidirect
101. #14583217C22semidirect
102. #14583216C22semidirect
103. #14583216C22semidirect
104. #14583215C22semidirect
105. #14583215C22semidirect
106. #14583214C22semidirect
107. #14583213C22semidirect
108. #14583211C22semidirect
109. #14583156C22semidirect
110. #14583155C22semidirect
111. #14583153C22semidirect
112. #14583152C22semidirect
113. #14583152C22semidirect
114. #14583151C22semidirect
115. #14583151C22semidirect
116. #14583151C22semidirect
117. #14583150C22semidirect
118. #14583150C22semidirect
119. #14583150C22semidirect
120. #14583150C22semidirect
121. #14583150C22semidirect
122. #14583149C22semidirect
123. #14583147C22semidirect
124. #14583146C22semidirect
125. #14583145C22semidirect
126. #14583145C22semidirect
127. #14583143C22semidirect
128. #14583142C22semidirect
129. #14583136C22semidirect
130. #14583134C22semidirect
131. #14583134C22semidirect
132. #14583132C22semidirect
133. #14583131C22semidirect
134. #14583129C22semidirect
135. #14583127C22semidirect
136. #14583125C22semidirect
137. #14583064C22semidirect
138. #14583061C22semidirect
139. #14583059C22semidirect
140. #14583058C22semidirect
141. #14583052C22semidirect
142. #14583051C22semidirect
143. #14583048C22semidirect
144. #14583047C22semidirect
145. #14583046C22semidirect
146. #14583046C22semidirect
147. #14583045C22semidirect
148. #14583045C22semidirect
149. #14583044C22semidirect
150. #14583043C22semidirect
151. #14583043C22semidirect
152. #14583042C22semidirect
153. #14583041C22semidirect
154. #14583035C22semidirect
155. #14583034C22semidirect
156. #14583034C22semidirect
157. #14583034C22semidirect
158. #14583033C22semidirect
159. #14583033C22semidirect
160. #14583032C22semidirect
161. #14583032C22semidirect
162. #14583031C22semidirect
163. #14583031C22semidirect
164. #14583031C22semidirect
165. #14582940C22semidirect
166. #14582938C22semidirect
167. #14582936C22semidirect
168. #106×D43C22semidirect
169. #14582902C22semidirect
170. #14582902C22semidirect
171. #14582899C22semidirect
172. #14582897C22semidirect
173. #14582894C22semidirect
174. #14582892C22semidirect
175. #102×D43C22semidirect
176. #102×D43C22semidirect
177. #14582864C22semidirect
178. #14582864C22semidirect
179. #14582864C22semidirect
180. #14582864C22semidirect
181. #14582864C22semidirect
182. #14582864C22semidirect
183. #14582864C22semidirect
184. #14582864C22semidirect
185. #14582863C22semidirect
186. #14582862C22semidirect
187. #14582862C22semidirect
188. C43×#525C22semidirect
189. C2×#121×C43C22semidirect
190. C43×#483C22semidirect
191. C43×#482C22semidirect
192. C43×#482C22semidirect
193. C43×#480C22semidirect
194. C43×#469C22semidirect
195. C43×#469C22semidirect
196. C43×#468C22semidirect
197. C43×#468C22semidirect
198. C43×#450C22semidirect
199. C43×#449C22semidirect
200. C43×#449C22semidirect
201. C43×#447C22semidirect
202. C43×#407C22semidirect
1002. #3194D43semidirect
1076. #525C2×D43semidirect
1082. C2×#121C2×D43semidirect
1092. #483C2×D43semidirect
1103. #482C2×D43semidirect
1104. #482C2×D43semidirect
1116. #480C2×D43semidirect
1131. #469C2×D43semidirect
1132. #469C2×D43semidirect
1139. #468C2×D43semidirect
1140. #468C2×D43semidirect
1156. #450C2×D43semidirect
1167. #449C2×D43semidirect
1168. #449C2×D43semidirect
1180. #447C2×D43semidirect
1204. #407C2×D43semidirect
1205. C43#60771semidirect

Maximal subgroups

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

subgroupindex
#191482602
#191482562
#191455052
#191455042
#191454592
#191454582
#191454542
#191454512
#191454452
#191454442
#191454332
#191454322
#191454112
#191454102
#191454042
#191453922
#191453912
#191445872
#191445792
#191445502
#191445462
#191442132
#191442092
#191441992
#469×D432
#191439002
#191438972
#191438602
#191438582
#191430382
C43×#31942
#6077143