Finite Group Databasebeta

← #25974784

Subgroups — #25974784

Order 11008.

2110 conjugacy classes of subgroups.

The subgroup lattice has 1842 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148454C211yesmaximal, characteristic, complemented
2#19148355C211yesmaximal, characteristic
3#19146909C211yesmaximal, characteristic, complemented
4#19146904C211yesmaximal, characteristic, complemented
5#19146824C211yesmaximal, characteristic, complemented
6#19146819C211yesmaximal, characteristic, complemented
7#19146818C211yesmaximal, characteristic, complemented
8#19146811C211yesmaximal, characteristic, complemented
9#19146808C211yesmaximal, characteristic, complemented
10#19146805C211yesmaximal, characteristic, complemented
11#19146508C211yesmaximal, characteristic, complemented
12#19146507C211yesmaximal, characteristic, complemented
13#19146435C211yesmaximal, characteristic, complemented
14#19146432C211yesmaximal, characteristic, complemented
15#19146429C211yesmaximal, characteristic, complemented
16#19146415C211yesmaximal, characteristic, complemented
17#19146414C211yesmaximal, characteristic, complemented
18#19144916C211yesmaximal, characteristic, complemented
19#19144587C211yesmaximal, characteristic, complemented
20#19144579C211yesmaximal, characteristic, complemented
21#19144390C211yesmaximal, characteristic, complemented
22#19144285C211yesmaximal, characteristic, complemented
23#19144279C211yesmaximal, characteristic, complemented
24#19144065C211yesmaximal, characteristic, complemented
25#19143869C211yesmaximal, characteristic, complemented
26#19143867C211yesmaximal, characteristic, complemented
27C4×SD16×D43C211yesmaximal, characteristic, complemented
28#19143302C211yesmaximal, characteristic, complemented
29#19143117C211yesmaximal, characteristic, complemented
30#19143116C211yesmaximal, characteristic, complemented
31C43×#3296C211yesmaximal, characteristic, complemented
32C2×#13063371C2211yescharacteristic
33C2×#13063370C2211yescharacteristic
34C2×#13063357C2211yescharacteristic, complemented
35C2×#13063354C2211yescharacteristic, complemented
36C2×SD16×D43C2211yescharacteristic
37C2×#13063331C2211yescharacteristic, complemented
38C2×#13063331C2211yescharacteristic, complemented
39#14583633—21no—
40#14583626—21no—
41#14583620C2211yescharacteristic, complemented
42#14583617—21no—
43#14583617C2211yescharacteristic, complemented
44#14583616—21no—
45#14583607C2211yescharacteristic, complemented
46#14583604C2211yescharacteristic, complemented
47#14583590C2211yescharacteristic, complemented
48#14583589C2211yescharacteristic, complemented
49#14583587C2211yescharacteristic, complemented
50#14583551C2211yescharacteristic
51#14583548C2211yescharacteristic
52#14583547—21no—
53#14583545C2211yescharacteristic
54#14583544C2211yescharacteristic
55#14583542C2211yescharacteristic
56#14583539—21no—
57#14583538—21no—
58#14583533C2211yescharacteristic
59D4×C22⋊D43C2211yescharacteristic
60#14583531—21no—
61#14583497—21no—
62#14583492—21no—
63#14583479C2211yescharacteristic
64#14583478C2211yescharacteristic
65#14583472C2211yescharacteristic, complemented
66#14583472C2211yescharacteristic, complemented
67#14583460—21no—
68#14583459—21no—
69#14583455C2211yescharacteristic, complemented
70#14583448C2211yescharacteristic
71#14583446C2211yescharacteristic
72#14583432—21no—
73#14583427—21no—
74C2×#13063298—21no—
75#121×D43—21no—
76#14583380C2211yescharacteristic, complemented
77#14583379C2211yescharacteristic, complemented
78C4×Q8×D43C2211yescharacteristic, complemented
79C4×D4×D43C2211yescharacteristic
80#14583256C2211yescharacteristic, complemented
81#14583254C2211yescharacteristic, complemented
82#14583253C2211yescharacteristic, complemented
83#14583248C2211yescharacteristic, complemented
84#14583248C2211yescharacteristic, complemented
85#14583244C2211yescharacteristic, complemented
86#14583244C2211yescharacteristic, complemented
87#14583242C2211yescharacteristic, complemented
88#14583240C2211yescharacteristic, complemented
89#14583239C2211yescharacteristic, complemented
90#14583237C2211yescharacteristic, complemented
91#14583231C2211yescharacteristic, complemented
92#14583230C2211yescharacteristic, complemented
93#14583228C2211yescharacteristic, complemented
94#14583225C2211yescharacteristic, complemented
95#14583224C2211yescharacteristic, complemented
96#14583222C2211yescharacteristic, complemented
97#14583219C2211yescharacteristic, complemented
98#14583217C2211yescharacteristic, complemented
99#14583216C2211yescharacteristic, complemented
100#14583215C2211yescharacteristic, complemented
101#14583200C2211yescharacteristic, complemented
102#14583199C2211yescharacteristic, complemented
103#14583196C2211yescharacteristic, complemented
104#14583188C2211yescharacteristic, complemented
105#14583187C2211yescharacteristic, complemented
106#14583178C2211yescharacteristic, complemented
107#14583177C2211yescharacteristic, complemented
108#14583158C2211yescharacteristic, complemented
109#14583155C2211yescharacteristic, complemented
110#14583155C2211yescharacteristic, complemented
111#14583154C2211yescharacteristic, complemented
112#14583147C2211yescharacteristic, complemented
113#14583146C2211yescharacteristic, complemented
114#14583143C2211yescharacteristic, complemented
115#14583142C2211yescharacteristic, complemented
116#14583140C2211yescharacteristic, complemented
117#14583139C2211yescharacteristic, complemented
118#14583139C2211yescharacteristic, complemented
119#14583131C2211yescharacteristic, complemented
120#14583128C2211yescharacteristic, complemented
121#14583127C2211yescharacteristic, complemented
122#14583122C2211yescharacteristic, complemented
123#14583121C2211yescharacteristic, complemented
124#14583118C2211yescharacteristic, complemented
125#14583108C2211yescharacteristic, complemented
126#14583107C2211yescharacteristic, complemented
127#14583098C2211yescharacteristic, complemented
128#14583097C2211yescharacteristic, complemented
129#14583064C2211yescharacteristic, complemented
130#14583063C2211yescharacteristic, complemented
131#14583062C2211yescharacteristic, complemented
132#14583061C2211yescharacteristic, complemented
133#14583060C2211yescharacteristic, complemented
134#14583059C2211yescharacteristic, complemented
135#14583058C2211yescharacteristic, complemented
136#14583052C2211yescharacteristic, complemented
137#14583051C2211yescharacteristic, complemented
138#14583051C2211yescharacteristic, complemented
139#14583050C2211yescharacteristic, complemented
140#14583049C2211yescharacteristic, complemented
141#14583048C2211yescharacteristic, complemented
142#14583048C2211yescharacteristic, complemented
143#14582990C2211yescharacteristic, complemented
144C4×#10621873C2211yescharacteristic, complemented
145SD16×Dic43C2211yescharacteristic, complemented
146C4×#10621884C2211yescharacteristic, complemented
147#14582986C2211yescharacteristic, complemented
148C4×#10621883C2211yescharacteristic, complemented
149#14582984C2211yescharacteristic, complemented
150#14582977C2211yescharacteristic, complemented
151#14582976C2211yescharacteristic, complemented
152#14582974C2211yescharacteristic, complemented
153#14582974C2211yescharacteristic, complemented
154C8×D172C2211yescharacteristic, complemented
155C8×C22⋊D43C2211yescharacteristic, complemented
156C8×C22⋊D43C2211yescharacteristic, complemented
157#14582940C2211yescharacteristic, complemented
158#14582938C2211yescharacteristic, complemented
159#106×D43C2211yescharacteristic, complemented
160#14582921C2211yescharacteristic, complemented
161#14582904C2211yescharacteristic, complemented
162#14582903C2211yescharacteristic, complemented
163#14582902C2211yescharacteristic
164#14582902C2211yescharacteristic
165#14582902C2211yescharacteristic, complemented
166#14582902C2211yescharacteristic, complemented
167#14582900C2211yescharacteristic, complemented
168#14582899C2211yescharacteristic, complemented
169#14582899C2211yescharacteristic, complemented
170#14582898C2211yescharacteristic, complemented
171#14582897C2211yescharacteristic, complemented
172#14582897C2211yescharacteristic, complemented
173#14582896C2211yescharacteristic, complemented
174#14582894C2211yescharacteristic, complemented
175#14582894C2211yescharacteristic, complemented
176#14582894C2211yescharacteristic, complemented
177#14582892C2211yescharacteristic, complemented
178#14582892C2211yescharacteristic, complemented
179#14582892C2211yescharacteristic, complemented
180#103×D43C2211yescharacteristic, complemented
181C2×#13063247C2211yescharacteristic, complemented
182#102×D43C2211yescharacteristic
183#102×D43C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic, complemented
185#14582864C2211yescharacteristic, complemented
186#14582864C2211yescharacteristic, complemented
187C4×C8×D43C2211yescharacteristic, complemented
188C43×#552C2211yescharacteristic, complemented
189C43×#546C2211yescharacteristic
190C43×#488C2211yescharacteristic, complemented
191C43×#483C2211yescharacteristic, complemented
192C43×#482C2211yescharacteristic, complemented
193C43×#478C2211yescharacteristic, complemented
194C43×#467C2211yescharacteristic, complemented
195C43×#465C2211yescharacteristic, complemented
196C43×#464C2211yescharacteristic, complemented
197C43×#452C2211yescharacteristic, complemented
198C43×#450C2211yescharacteristic, complemented
199C4×SD16×C43C2211yescharacteristic, complemented
200C8×D4×C43C2211yescharacteristic, complemented
201C43×#416C2211yescharacteristic, complemented
202C2×#102×C43C2211yescharacteristic, complemented
203#13063371—24no—
204#13063371—42no—
205#13063370—24no—
206#13063370—42no—
207C2×#10621902C2311yescharacteristic
208C2×#10621902C2311yescharacteristic
209C2×#10621898—21no—
210C2×#10621898C2311yescharacteristic
211C2×#10621898C2311yescharacteristic
212C2×#10621898C2311yescharacteristic
213C2×#10621900—21no—
214C2×#10621900C2311yescharacteristic
215C2×#10621900C2311yescharacteristic
216C2×Q8×D43C2311yescharacteristic
217C22×D172—21no—
218C22×D172C2311yescharacteristic
219C22×C22⋊D43—21no—
220C22×C22⋊D43—21no—
221C22×C22⋊D43—21no—
222C2×D4×D43—21no—
223C2×D4×D43—21no—
224C2×D4×D43—21no—
225C2×D4×D43—21no—
226C2×D4×D43C2311yescharacteristic
227C2×D4×D43C2311yescharacteristic
228C2×D4×D43C2311yescharacteristic
229C22×C4×D43—21no—
230#13063357—42no—
231#13063354—42no—
232C2×Dic172C2311yescharacteristic
233C2×#10621885C2311yescharacteristic
234C2×#10621885C2311yescharacteristic
235C2×#10621873C2311yescharacteristic
236C2×#10621873C2311yescharacteristic
237C2×#10621883C2311yescharacteristic
238C2×#10621883C2311yescharacteristic
239C2×#10621884C2311yescharacteristic
240C2×#10621884C2311yescharacteristic
241SD16×D43—24no—
242#13063331—42no—
243#13063331—42no—
244C2×#10621877C2311yescharacteristic
245C2×#10621877C2311yescharacteristic
246C2×#10621872C2311yescharacteristic
247C2×#10621872C2311yescharacteristic
248C2×#10621872C2311yescharacteristic
249C2×#10621872C2311yescharacteristic
250C2×C8×D43C2311yescharacteristic
251C2×C8×D43C2311yescharacteristic
252C2×C8×D43C2311yescharacteristic
253C2×C8×D43C2311yescharacteristic
254#13063324—21no—
255#13063324—21no—
256#13063324D411yescharacteristic
257#13063324C2311yescharacteristic
258#13063324C2311yescharacteristic
259#13063323C2311yescharacteristic
260#13063321D411yescharacteristic
261#13063321C2311yescharacteristic
262#13063320—21no—
263#13063320—21no—
264#13063319—21no—
265#13063319—21no—
266#13063318—21no—
267#13063318—21no—
268#13063318—21no—
269#13063317C2311yescharacteristic
270#13063316—21no—
271#13063315—21no—
272#13063315—21no—
273#13063315—21no—
274#13063315—21no—
275#13063313C2311yescharacteristic
276#13063311—21no—
277#13063311—21no—
278#13063311—21no—
279#13063311—21no—
280#13063311D411yescharacteristic
281#13063311D411yescharacteristic
282#13063310—21no—
283#13063310—21no—
284#13063310—21no—
285#13063310—21no—
286#13063310—21no—
287#13063310—21no—
288#13063309—21no—
289#13063308—21no—
290#13063307—21no—
291#13063307—21no—
292#13063307—21no—
293#13063307—21no—
294#13063306—21no—
295#13063306—21no—
296#13063305—21no—
297#13063305C2311yescharacteristic
298#13063305C2311yescharacteristic
299#13063305C2311yescharacteristic
300#13063304—21no—
301#13063304C2311yescharacteristic
302#13063304C2311yescharacteristic
303#13063304C2311yescharacteristic
304#13063303—21no—
305#13063303—21no—
306#13063303—21no—
307#13063303—21no—
308#13063302—21no—
309#13063302—21no—
310#13063301C2311yescharacteristic
311#13063301C2311yescharacteristic
312#13063301C2311yescharacteristic
313#13063300—21no—
314#13063300D411yescharacteristic
315#13063300C2311yescharacteristic
316#13063299—21no—
317#13063299C2311yescharacteristic
318#13063298—21no—
319#13063298—21no—
320#13063298—21no—
321#13063298—21no—
322#13063298—21no—
323#13063298—21no—
324#13063298—21no—
325#13063298—21no—
326#13063298—21no—
327#13063298D411yescharacteristic
328#13063298D411yescharacteristic
329#13063297—21no—
330#13063297—21no—
331#13063297—21no—
332#13063296—21no—
333#13063296D411yescharacteristic
334#13063296C2311yescharacteristic
335#13063295—21no—
336#13063295—21no—
337#13063295—21no—
338#13063294—21no—
339#13063293—21no—
340#13063293—21no—
341#13063293—21no—
342Q8×Dic43C2311yescharacteristic
343C4×Dic86—21no—
344C4×Dic86—21no—
345C4×Dic86—21no—
346C4×Dic86C2311yescharacteristic
347#13063290—21no—
348#13063290—21no—
349#13063290—21no—
350#13063290—21no—
351#13063290—21no—
352#13063290C2311yescharacteristic
353C4×D172—21no—
354C4×D172C2311yescharacteristic
355C4×D172C2311yescharacteristic
356D4×Dic43C2311yescharacteristic
357#13063287—21no—
358#13063287C2311yescharacteristic
359C4×C22⋊D43—21no—
360C4×C22⋊D43—21no—
361C4×C22⋊D43—21no—
362C4×C22⋊D43—21no—
363C4×C22⋊D43C2311yescharacteristic
364C4×C22⋊D43C2311yescharacteristic
365(C22⋊D43)⋊C4—21no—
366(C22⋊D43)⋊C4—21no—
367(C22⋊D43)⋊C4—21no—
368(C22⋊D43)⋊C4—21no—
369(C22⋊D43)⋊C4—21no—
370(C22⋊D43)⋊C4—21no—
371#13063284C2311yescharacteristic
372#13063283—21no—
373#13063283C2311yescharacteristic
374#13063283C2311yescharacteristic
375#13063283C2311yescharacteristic
376#13063283C2311yescharacteristic
377#13063282—21no—
378#13063281—21no—
379C2×C4⋊Dic43C2311yescharacteristic
380C2×Dic43⋊C4—21no—
381C4⋊C4×D43—21no—
382C4⋊C4×D43—21no—
383C4⋊C4×D43C2311yescharacteristic
384C4⋊C4×D43C2311yescharacteristic
385C4⋊C4×D43C2311yescharacteristic
386C4⋊C4×D43C2311yescharacteristic
387C2×(C2×D43)⋊C4—21no—
388C22⋊C4×D43—21no—
389C22⋊C4×D43—21no—
390C22⋊C4×D43—21no—
391C42×D43—21no—
392C42×D43C2311yescharacteristic
393#13063259C2311yescharacteristic
394#13063258C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063257C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063256C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402C4⋊(C43⋊C8)C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
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
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441C4×C43⋊C8C2311yescharacteristic
442C8×Dic43C2311yescharacteristic
443C8×Dic43C2311yescharacteristic
444C2×#41×C43C2311yescharacteristic
445C22×D4×C43C2311yescharacteristic
446C2×Q16×C43C2311yescharacteristic
447C2×SD16×C43C2311yescharacteristic
448C2×SD16×C43C2311yescharacteristic
449C22×C8×C43C2311yescharacteristic
450C22×C8×C43C2311yescharacteristic
451#126×C43—21no—
452#125×C43—21no—
453#125×C43C2311yescharacteristic
454#124×C43C2311yescharacteristic
455#123×C43—21no—
456#123×C43—21no—
457C22⋊Q8×C43C2311yescharacteristic
458C22⋊Q8×C43C2311yescharacteristic
459C22⋊Q8×C43C2311yescharacteristic
460#121×C43—21no—
461#121×C43C2311yescharacteristic
462#120×C43—21no—
463C4×Q8×C43C2311yescharacteristic
464C4×D4×C43C2311yescharacteristic
465C4×D4×C43C2311yescharacteristic
466#117×C43—21no—
467#117×C43C2311yescharacteristic
468C2×C4⋊C4×C43C2311yescharacteristic
469C2×C22⋊C4×C43—21no—
470#107×C43C2311yescharacteristic
471#106×C43C2311yescharacteristic
472#106×C43C2311yescharacteristic
473C4⋊C8×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478#102×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480#102×C43C2311yescharacteristic
481#102×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484C22⋊C8×C43C2311yescharacteristic
485C22⋊C8×C43C2311yescharacteristic
486C4×C8×C43C2311yescharacteristic
487C24×C43—21no—
488C23×D43—21no—
489C23×D43—21no—
490C23×D43—21no—
491C23×D43—21no—
492#41×C43—22no—
493#41×C43—41no—
494C2×Q8×C43C2411yescharacteristic
495C2×Q8×C43C2411yescharacteristic
496C2×D4×C43—21no—
497C2×D4×C43—21no—
498C2×D4×C43—21no—
499C2×D4×C43—22no—
500C2×D4×C43—41no—
501C2×D4×C43C2×D411yescharacteristic
502C2×D4×C43C2411yescharacteristic
503C2×D4×C43C2411yescharacteristic
504C22×C4×C43—21no—
505C22×C4×C43—21no—
506C22×C4×C43—21no—
507C22×C4×C43C2411yescharacteristic
508C22×C4×C43C2411yescharacteristic
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43—44no—
520C2×C22⋊D43—44no—
521C2×C22⋊D43—82no—
522C2×C22⋊D43C2×D411yescharacteristic
523C2×C22⋊D43C2×D411yescharacteristic
524C2×C22⋊D43C2×D411yescharacteristic
525C2×C22⋊D43C2×D411yescharacteristic
526C2×C22⋊D43C2×D411yescharacteristic
527C2×C22⋊D43C2×D411yescharacteristic
528C22×Dic43—21no—
529C22×Dic43—21no—
530C22×Dic43—21no—
531C22×Dic43—21no—
532#10621902—22no—
533#10621902—22no—
534#10621902—22no—
535#10621902—41no—
536Q8×D43—22no—
537Q8×D43—22no—
538#10621900—22no—
539#10621900—22no—
540#10621900—22no—
541#10621900—41no—
542#10621900—44no—
543D4×D43—22no—
544D4×D43—22no—
545D4×D43—22no—
546D4×D43—44no—
547D4×D43—44no—
548D4×D43—41no—
549D4×D43—41no—
550D4×D43—44no—
551D4×D43—82no—
552D4×D43#4114yes—
553#10621898—22no—
554#10621898—22no—
555#10621898—22no—
556#10621898—22no—
557#10621898—22no—
558#10621898—41no—
559#10621898—44no—
560C2×D172—21no—
561C2×D172—21no—
562C2×D172—21no—
563C2×D172—21no—
564C2×D172—22no—
565C2×D172—44no—
566C2×D172—41no—
567C2×D172C2×D411yescharacteristic
568C2×D172C2×D411yescharacteristic
569C2×D172C2×D411yescharacteristic
570C2×D172C2411yescharacteristic
571C2×D172C2411yescharacteristic
572C2×C4×D43—21no—
573C2×C4×D43—21no—
574C2×C4×D43—21no—
575C2×C4×D43—21no—
576C2×C4×D43—21no—
577C2×C4×D43—21no—
578C2×C4×D43—21no—
579C2×C4×D43—21no—
580C2×C4×D43—21no—
581C2×C4×D43—21no—
582C2×C4×D43—82no—
583C2×C4×D43C2×D411yescharacteristic
584C2×C4×D43C2×D411yescharacteristic
585C2×C4×D43C2411yescharacteristic
586C2×C4×D43C2411yescharacteristic
587C2×C4×D43C2411yescharacteristic
588C2×Dic86—21no—
589C2×Dic86—21no—
590C2×Dic86—21no—
591C2×Dic86C2×D411yescharacteristic
592C2×Dic86C2×D411yescharacteristic
593C2×Dic86C2411yescharacteristic
594C2×Dic86C2411yescharacteristic
595Q16×C43—41no—
596SD16×C43—22no—
597SD16×C43—41no—
598C2×C8×C43—41no—
599C2×C8×C43—41no—
600C2×C8×C43C2411yescharacteristic
601C2×C8×C43C2411yescharacteristic
602C2×C8×C43C2411yescharacteristic
603C2×C8×C43C2411yescharacteristic
604C4⋊C4×C43—21no—
605C4⋊C4×C43—21no—
606C4⋊C4×C43—21no—
607C4⋊C4×C43—21no—
608C4⋊C4×C43—21no—
609C4⋊C4×C43—21no—
610C4⋊C4×C43—21no—
611C4⋊C4×C43C2×D411yescharacteristic
612C4⋊C4×C43C2411yescharacteristic
613C4⋊C4×C43C2411yescharacteristic
614C4⋊C4×C43C2411yescharacteristic
615C4⋊C4×C43C2411yescharacteristic
616C22⋊C4×C43—21no—
617C22⋊C4×C43—21no—
618C22⋊C4×C43—21no—
619C22⋊C4×C43—21no—
620C22⋊C4×C43—21no—
621C22⋊C4×C43—21no—
622C22⋊C4×C43—21no—
623C22⋊C4×C43—21no—
624C22⋊C4×C43C2×D411yescharacteristic
625C22⋊C4×C43C2×D411yescharacteristic
626C42×C43—21no—
627C42×C43—21no—
628C42×C43C2411yescharacteristic
629C22⋊Dic43—21no—
630C22⋊Dic43—21no—
631C22⋊Dic43—21no—
632C22⋊Dic43—21no—
633C22⋊Dic43—21no—
634C22⋊Dic43—21no—
635C22⋊Dic43C2×D411yescharacteristic
636C22⋊Dic43C2×D411yescharacteristic
637#10621885—41no—
638#10621885—41no—
639#10621884—22no—
640#10621884—41no—
641#10621883—22no—
642#10621883—41no—
643(C2×D43)⋊C4—21no—
644(C2×D43)⋊C4—21no—
645(C2×D43)⋊C4—21no—
646(C2×D43)⋊C4—21no—
647(C2×D43)⋊C4—21no—
648(C2×D43)⋊C4—21no—
649(C2×D43)⋊C4—21no—
650(C2×D43)⋊C4—21no—
651(C2×D43)⋊C4—21no—
652(C2×D43)⋊C4—21no—
653(C2×D43)⋊C4—21no—
654(C2×D43)⋊C4—21no—
655(C2×D43)⋊C4—21no—
656(C2×D43)⋊C4—21no—
657(C2×D43)⋊C4—21no—
658(C2×D43)⋊C4—21no—
659(C2×D43)⋊C4C2×D411yescharacteristic
660(C2×D43)⋊C4C2×D411yescharacteristic
661(C2×D43)⋊C4C2×D411yescharacteristic
662(C2×D43)⋊C4C2×D411yescharacteristic
663C4⋊Dic43—21no—
664C4⋊Dic43—21no—
665C4⋊Dic43—21no—
666C4⋊Dic43—21no—
667C4⋊Dic43—21no—
668C4⋊Dic43C2×D411yescharacteristic
669C4⋊Dic43C2411yescharacteristic
670C4⋊Dic43C2411yescharacteristic
671C4⋊Dic43C2411yescharacteristic
672C4⋊Dic43C2411yescharacteristic
673Dic43⋊C4—21no—
674Dic43⋊C4—21no—
675Dic43⋊C4—21no—
676Dic43⋊C4—21no—
677Dic43⋊C4—21no—
678Dic43⋊C4—21no—
679Dic43⋊C4—21no—
680Dic43⋊C4—21no—
681Dic43⋊C4—21no—
682Dic43⋊C4—21no—
683Dic43⋊C4—21no—
684Dic43⋊C4—21no—
685Dic43⋊C4—21no—
686Dic43⋊C4—21no—
687Dic43⋊C4—21no—
688Dic43⋊C4—21no—
689Dic43⋊C4—21no—
690Dic43⋊C4—21no—
691Dic43⋊C4C2×D411yescharacteristic
692Dic43⋊C4C2×D411yescharacteristic
693C4×Dic43—21no—
694C4×Dic43—21no—
695C4×Dic43—21no—
696C4×Dic43—21no—
697C4×Dic43—21no—
698C4×Dic43—21no—
699C4×Dic43—21no—
700C4×Dic43—21no—
701C4×Dic43C2×D411yescharacteristic
702C4×Dic43C2×D411yescharacteristic
703C4×Dic43C2411yescharacteristic
704#10621877—41no—
705#10621877—41no—
706C2×C43⋊C8C2411yescharacteristic
707C2×C43⋊C8C2411yescharacteristic
708C2×C43⋊C8C2411yescharacteristic
709C2×C43⋊C8C2411yescharacteristic
710Dic172—41no—
711#10621873—22no—
712#10621873—41no—
713#10621872—22no—
714#10621872—22no—
715#10621872—41no—
716#10621872—41no—
717C8×D43—22no—
718C8×D43—22no—
719C8×D43—41no—
720C8×D43—41no—
721C23×C43—21no—
722C23×C43—21no—
723C23×C43—42no—
724C23×C43—81no—
725C23×C43—81no—
726C23×C43C22×D411yescharacteristic
727C23×C43C22×D411yescharacteristic
728C22×D43—21no—
729C22×D43—24no—
730C22×D43—21no—
731C22×D43—42no—
732C22×D43—42no—
733C22×D43—42no—
734C22×D43—81no—
735C22×D43—81no—
736C22×D43—81no—
737C22×D43—81no—
738C22×D43—81no—
739C22×D43—81no—
740C22×D43—81no—
741C22×D43—81no—
742C22×D43C22×D411yescharacteristic
743C22×D43C22×D411yescharacteristic
744C22×D43C22×D411yescharacteristic
745Q8×C43—21no—
746Q8×C43—21no—
747Q8×C43—21no—
748Q8×C43—21no—
749D4×C43—21no—
750D4×C43—21no—
751D4×C43—21no—
752D4×C43—41no—
753D4×C43—42no—
754D4×C43—42no—
755D4×C43—81no—
756D4×C43C2×#4112yes—
757C2×C4×C43—21no—
758C2×C4×C43—21no—
759C2×C4×C43—21no—
760C2×C4×C43—21no—
761C2×C4×C43—21no—
762C2×C4×C43—21no—
763C2×C4×C43—21no—
764C2×C4×C43—21no—
765C2×C4×C43—21no—
766C2×C4×C43—21no—
767C2×C4×C43—42no—
768C2×C4×C43—81no—
769C2×C4×C43—81no—
770C2×C4×C43C22×D411yescharacteristic
771C2×C4×C43C22×D411yescharacteristic
772C2×C4×C43C22×D411yescharacteristic
773C2×C4×C43C22×D411yescharacteristic
774C2×C4×C43C2511yescharacteristic
775C22⋊D43—22no—
776C22⋊D43—22no—
777C22⋊D43—22no—
778C22⋊D43—22no—
779C22⋊D43—24no—
780C22⋊D43—22no—
781C22⋊D43—22no—
782C22⋊D43—42no—
783C22⋊D43—42no—
784C22⋊D43—42no—
785C22⋊D43—42no—
786C22⋊D43—42no—
787C22⋊D43—42no—
788C22⋊D43—81no—
789C22⋊D43—81no—
790C22⋊D43—81no—
791C2×Dic43—21no—
792C2×Dic43—21no—
793C2×Dic43—21no—
794C2×Dic43—21no—
795C2×Dic43—21no—
796C2×Dic43—21no—
797C2×Dic43—42no—
798C2×Dic43—42no—
799C2×Dic43—42no—
800C2×Dic43—81no—
801C2×Dic43C22×D411yescharacteristic
802C2×Dic43C22×D411yescharacteristic
803C2×Dic43C22×D411yescharacteristic
804C2×Dic43C22×D411yescharacteristic
805C2×Dic43C22×D411yescharacteristic
806D172—22no—
807D172—22no—
808D172—21no—
809D172—21no—
810D172—21no—
811D172—41no—
812D172—42no—
813D172—42no—
814D172—42no—
815D172—81no—
816D172C2×#4112yes—
817C4×D43—21no—
818C4×D43—21no—
819C4×D43—21no—
820C4×D43—21no—
821C4×D43—22no—
822C4×D43—41no—
823C4×D43—42no—
824C4×D43—42no—
825C4×D43—42no—
826C4×D43—42no—
827C4×D43—42no—
828C4×D43—81no—
829C4×D43—81no—
830C4×D43—81no—
831C4×D43—81no—
832C4×D43—81no—
833C4×D43C2×#4112yes—
834C4×D43H(5,𝔽2)12yes—
835Dic86—22no—
836Dic86—22no—
837Dic86—21no—
838Dic86—21no—
839Dic86—21no—
840Dic86—21no—
841Dic86—42no—
842Dic86—42no—
843Dic86—81no—
844C8×C43—21no—
845C8×C43—21no—
846C8×C43—21no—
847C8×C43—21no—
848C43⋊C8—21no—
849C43⋊C8—21no—
850C43⋊C8—21no—
851C43⋊C8—21no—
852#61212—431nomaximal, Sylow
853C22×C43—21no—
854C22×C43—21no—
855C22×C43—22no—
856C22×C43—21no—
857C22×C43—21no—
858C22×C43—21no—
859C22×C43—21no—
860C22×C43—41no—
861C22×C43—41no—
862C22×C43—41no—
863C22×C43—41no—
864C22×C43—41no—
865C22×C43—162no—
866C22×C43C23×D411yescharacteristic
867C2×D43—21no—
868C2×D43—21no—
869C2×D43—21no—
870C2×D43—21no—
871C2×D43—22no—
872C2×D43—21no—
873C2×D43—21no—
874C2×D43—21no—
875C2×D43—21no—
876C2×D43—41no—
877C2×D43—41no—
878C2×D43—41no—
879C2×D43—41no—
880C2×D43—41no—
881C2×D43—84no—
882C2×D43—162no—
883C2×D43—162no—
884C2×D43—162no—
885C2×D43#54612yes—
886C4×C43—21no—
887C4×C43—21no—
888C4×C43—21no—
889C4×C43—21no—
890C4×C43—41no—
891C4×C43—41no—
892C4×C43—41no—
893C4×C43—41no—
894C4×C43—41no—
895C4×C43—41no—
896C4×C43C22×#4111yescharacteristic
897C4×C43C2×H(5,𝔽2)11yescharacteristic
898Dic43—21no—
899Dic43—21no—
900Dic43—21no—
901Dic43—41no—
902Dic43—41no—
903Dic43—41no—
904Dic43—41no—
905Dic43—41no—
906Dic43—41no—
907Dic43#54612yes—
908Dic43#57712yes—
909#3507—431no—
910#3496—431no—
911#3331—431no—
912#3331—431no—
913#3324—431no—
914#3324—431no—
915#3323—431no—
916#3323—431no—
917#3323—431no—
918#3323—431no—
919#3302—431no—
920#3302—431no—
921#3296—431no—
922#3296—431no—
923#3296—431no—
924#3296D4311yescharacteristic, complemented
925#3295—431no—
926#3295—431no—
927#3131—431no—
928#3099—431no—
929#3099—431no—
930#3077—431no—
931#3063—431no—
932#3063—431no—
933#3037—431no—
934#3009—431no—
935#3009—431no—
936C2×C4×SD16—431no—
937#2931—431no—
938#2897—431no—
939#2897—431no—
940C2×C43—42no—
941C2×C43—41no—
942C2×C43—41no—
943C2×C43—81no—
944C2×C43C2×#54611yescharacteristic
945C2×C43C2×#57711yescharacteristic
946C2×C43#358411yescharacteristic
947D43—22no—
948D43—41no—
949D43—41no—
950D43—42no—
951D43—81no—
952C2×H(5,𝔽2)—431no—
953C2×H(5,𝔽2)—431no—
954C2×#137—431no—
955C2×#137—431no—
956C22×SD16—431no—
957C2×#131—431no—
958C2×#131—431no—
959#559—861no—
960#557—861no—
961#556—431no—
962#556—431no—
963#556—861no—
964#556—861no—
965#554—431no—
966#554—431no—
967#552—431no—
968#552—431no—
969#552—431no—
970#552C2×D4311yescharacteristic, complemented
971#547—431no—
972#547—431no—
973#547—861no—
974#546—431no—
975#546—431no—
976#546—431no—
977#546—861no—
978#546—861no—
979#546C2×D4311yescharacteristic
980D42—431no—
981D42—431no—
982D42—861no—
983#539—861no—
984#539—861no—
985#537—431no—
986#537—431no—
987#536—431no—
988#536—431no—
989#534—861no—
990#534—861no—
991#533—431no—
992#532—431no—
993#532—431no—
994#529—861no—
995#529—861no—
996C2×#121—861no—
997C2×#121—861no—
998#520—431no—
999#520—431no—
1000C2×C4×Q8—431no—
1001C2×C4×D4—431no—
1002#488—431no—
1003#488—431no—
1004#488—431no—
1005#488C2×D4311yescharacteristic, complemented
1006#487—431no—
1007#487—431no—
1008#486—431no—
1009#486—431no—
1010#485—431no—
1011#485—431no—
1012#485—431no—
1013#485—431no—
1014#483—431no—
1015#483—431no—
1016#483—431no—
1017#483C2×D4311yescharacteristic, complemented
1018#482—431no—
1019#482—431no—
1020#482—431no—
1021#482C2×D4311yescharacteristic, complemented
1022#481—431no—
1023#481—431no—
1024#481—431no—
1025#481—431no—
1026#478—431no—
1027#478—431no—
1028#478—431no—
1029#478C2×D4311yescharacteristic, complemented
1030#476—431no—
1031#476—431no—
1032#474—431no—
1033#474—431no—
1034#470—431no—
1035#470—431no—
1036#470—431no—
1037#470—431no—
1038#468—431no—
1039#468—431no—
1040#468—431no—
1041#468—431no—
1042#467—431no—
1043#467—431no—
1044#467—431no—
1045#467C2×D4311yescharacteristic, complemented
1046#465—431no—
1047#465—431no—
1048#465—431no—
1049#465C2×D4311yescharacteristic, complemented
1050#464—431no—
1051#464—431no—
1052#464—431no—
1053#464C2×D4311yescharacteristic, complemented
1054#462—431no—
1055#462—431no—
1056#460—431no—
1057#460—431no—
1058#452—431no—
1059#452—431no—
1060#452—431no—
1061#452—431no—
1062#452—431no—
1063#452—431no—
1064#452—431no—
1065#452C2×D4311yescharacteristic, complemented
1066#450—431no—
1067#450—431no—
1068#450—431no—
1069#450—431no—
1070#450—431no—
1071#450—431no—
1072#450—431no—
1073#450C2×D4311yescharacteristic, complemented
1074C4×SD16—431no—
1075C4×SD16—431no—
1076C4×SD16—431no—
1077C4×SD16—431no—
1078C4×SD16—431no—
1079C4×SD16—431no—
1080C4×SD16—431no—
1081C4×SD16C2×D4311yescharacteristic, complemented
1082#436—431no—
1083#436—431no—
1084#436—431no—
1085#436—431no—
1086C8×D4—431no—
1087C8×D4—431no—
1088C8×D4—431no—
1089C8×D4C2×D4311yescharacteristic, complemented
1090#428—431no—
1091#428—431no—
1092C2×#106—431no—
1093#423—431no—
1094#418—431no—
1095#418—431no—
1096#418—431no—
1097#418—431no—
1098#418—431no—
1099#418—431no—
1100#417—431no—
1101#417—431no—
1102#417—431no—
1103#417—431no—
1104#417—431no—
1105#417—431no—
1106#416—431no—
1107#416—431no—
1108#416—431no—
1109#416—431no—
1110#416—431no—
1111#416—431no—
1112#416—431no—
1113#416C2×D4311yescharacteristic, complemented
1114C2×#103—431no—
1115C2×#102—431no—
1116C2×#102—431no—
1117C2×#102—431no—
1118C2×#102—431no—
1119C2×#102C2×D4311yescharacteristic, complemented
1120#408—431no—
1121#408—431no—
1122C2×C4×C8—431no—
1123C43#6121211yescharacteristic, complemented, Sylow
1124H(5,𝔽2)—864no—
1125H(5,𝔽2)—864no—
1126H(5,𝔽2)—1722no—
1127H(5,𝔽2)—1722no—
1128C2×#41—431no—
1129C2×#41—431no—
1130C2×#41—431no—
1131C2×#41—431no—
1132C2×#41—431no—
1133C2×#41—431no—
1134C2×#41—431no—
1135C2×#41—861no—
1136C2×#41—861no—
1137C2×#41C22×D4311yescharacteristic
1138C22×Q8—431no—
1139C22×D4—431no—
1140C22×D4—431no—
1141C22×D4—431no—
1142C22×D4—431no—
1143C22×D4—861no—
1144C22×D4—861no—
1145C22×D4—861no—
1146C22×D4—861no—
1147C22×D4—861no—
1148C22×D4—861no—
1149C22×D4—861no—
1150C22×D4—861no—
1151C22×D4C22×D4311yescharacteristic
1152C23×C4—861no—
1153#137—1722no—
1154#137—1722no—
1155C2×Q16—431no—
1156C2×Q16—431no—
1157C2×Q16—431no—
1158C2×Q16C22×D4311yescharacteristic
1159C2×SD16—431no—
1160C2×SD16—431no—
1161C2×SD16—431no—
1162C2×SD16—431no—
1163C2×SD16—431no—
1164C2×SD16—431no—
1165C2×SD16—864no—
1166C2×SD16C22×D4311yescharacteristic
1167C2×SD16C22×D4311yescharacteristic
1168#131—1722no—
1169#131—1722no—
1170C2×M16—431no—
1171C2×M16—431no—
1172C2×M16—431no—
1173C2×M16—431no—
1174C2×M16—431no—
1175C2×M16—431no—
1176C22×C8—431no—
1177C22×C8—431no—
1178C22×C8—431no—
1179C22×C8—431no—
1180C22×C8C22×D4311yescharacteristic
1181C22×C8C22×D4311yescharacteristic
1182C4⋊Q8—431no—
1183C4⋊Q8—431no—
1184C4⋊Q8—431no—
1185C4⋊Q8—431no—
1186C4⋊Q8—861no—
1187C4⋊Q8—861no—
1188#127—431no—
1189#127—431no—
1190#126—21no—
1191#126—861no—
1192#126—861no—
1193#126—861no—
1194#126—861no—
1195#126—861no—
1196#126—861no—
1197#126—861no—
1198#125—21no—
1199#125—431no—
1200#125—861no—
1201#125—861no—
1202#125—861no—
1203#125—861no—
1204#125—861no—
1205#125C22×D4311yescharacteristic
1206#124—431no—
1207#124—431no—
1208#124—431no—
1209#124—861no—
1210#124—861no—
1211#124—861no—
1212#124—861no—
1213#124C22×D4311yescharacteristic
1214#123—21no—
1215#123—21no—
1216#123—861no—
1217#123—861no—
1218#123—861no—
1219#123—861no—
1220#123—861no—
1221#123—861no—
1222#123—861no—
1223#123—861no—
1224#123—861no—
1225#123—861no—
1226#123—861no—
1227#123—861no—
1228#123—861no—
1229#123—861no—
1230C22⋊Q8—431no—
1231C22⋊Q8—431no—
1232C22⋊Q8—431no—
1233C22⋊Q8—431no—
1234C22⋊Q8—431no—
1235C22⋊Q8—431no—
1236C22⋊Q8—431no—
1237C22⋊Q8—431no—
1238C22⋊Q8—431no—
1239C22⋊Q8—861no—
1240C22⋊Q8—861no—
1241C22⋊Q8—861no—
1242C22⋊Q8—861no—
1243C22⋊Q8—861no—
1244C22⋊Q8—861no—
1245C22⋊Q8—861no—
1246C22⋊Q8—861no—
1247C22⋊Q8C22×D4311yescharacteristic
1248C22⋊Q8C22×D4311yescharacteristic
1249C22⋊Q8C22×D4311yescharacteristic
1250#121—21no—
1251#121—431no—
1252#121—431no—
1253#121—431no—
1254#121—431no—
1255#121—431no—
1256#121—431no—
1257#121—431no—
1258#121—861no—
1259#121—861no—
1260#121—861no—
1261#121—861no—
1262#121—861no—
1263#121—861no—
1264#121—861no—
1265#121—861no—
1266#121—861no—
1267#121—861no—
1268#121—861no—
1269#121—861no—
1270#121—861no—
1271#121—861no—
1272#121—861no—
1273#121C22×D4311yescharacteristic
1274#120—21no—
1275#120—861no—
1276#120—861no—
1277#120—861no—
1278#120—861no—
1279#120—861no—
1280#120—861no—
1281#120—861no—
1282C4×Q8—431no—
1283C4×Q8—431no—
1284C4×Q8—431no—
1285C4×Q8—861no—
1286C4×Q8—861no—
1287C4×Q8—861no—
1288C4×Q8—861no—
1289C4×Q8—861no—
1290C4×Q8—861no—
1291C4×Q8—861no—
1292C4×Q8—861no—
1293C4×Q8C22×D4311yescharacteristic
1294C4×D4—431no—
1295C4×D4—431no—
1296C4×D4—431no—
1297C4×D4—431no—
1298C4×D4—431no—
1299C4×D4—431no—
1300C4×D4—861no—
1301C4×D4—861no—
1302C4×D4—861no—
1303C4×D4—861no—
1304C4×D4—861no—
1305C4×D4—861no—
1306C4×D4—861no—
1307C4×D4—861no—
1308C4×D4—861no—
1309C4×D4—861no—
1310C4×D4—861no—
1311C4×D4—861no—
1312C4×D4C22×D4311yescharacteristic
1313C4×D4C22×D4311yescharacteristic
1314#117—21no—
1315#117—431no—
1316#117—431no—
1317#117—431no—
1318#117—431no—
1319#117—431no—
1320#117—861no—
1321#117—861no—
1322#117—861no—
1323#117C22×D4311yescharacteristic
1324C2×C4⋊C4—431no—
1325C2×C4⋊C4—431no—
1326C2×C4⋊C4—431no—
1327C2×C4⋊C4—431no—
1328C2×C4⋊C4—431no—
1329C2×C4⋊C4—861no—
1330C2×C4⋊C4—861no—
1331C2×C4⋊C4—861no—
1332C2×C4⋊C4C22×D4311yescharacteristic
1333C2×C22⋊C4—21no—
1334C2×C22⋊C4—861no—
1335C2×C22⋊C4—861no—
1336C2×C22⋊C4—861no—
1337C2×C22⋊C4—861no—
1338C2×C42—431no—
1339C2×C42—861no—
1340#107—431no—
1341#107—431no—
1342#107—431no—
1343#107C22×D4311yescharacteristic
1344#106—431no—
1345#106—431no—
1346#106—431no—
1347#106—431no—
1348#106—431no—
1349#106—431no—
1350#106C22×D4311yescharacteristic
1351#106C22×D4311yescharacteristic
1352C4⋊C8—431no—
1353C4⋊C8—431no—
1354C4⋊C8—431no—
1355C4⋊C8C22×D4311yescharacteristic
1356#103—431no—
1357#103—431no—
1358#103—431no—
1359#103—431no—
1360#103—431no—
1361#103—431no—
1362#103—431no—
1363#103—431no—
1364#103—431no—
1365#103—431no—
1366#103—431no—
1367#103—431no—
1368#103C22×D4311yescharacteristic
1369#103C22×D4311yescharacteristic
1370#103C22×D4311yescharacteristic
1371#103C22×D4311yescharacteristic
1372#102—431no—
1373#102—431no—
1374#102—431no—
1375#102—431no—
1376#102—431no—
1377#102—431no—
1378#102—431no—
1379#102—431no—
1380#102—431no—
1381#102—431no—
1382#102—431no—
1383#102—431no—
1384#102—431no—
1385#102—431no—
1386#102—431no—
1387#102—431no—
1388#102—431no—
1389#102—431no—
1390#102C22×D4311yescharacteristic
1391#102C22×D4311yescharacteristic
1392#102C22×D4311yescharacteristic
1393#102C22×D4311yescharacteristic
1394#102C22×D4311yescharacteristic
1395#102C22×D4311yescharacteristic
1396C22⋊C8—431no—
1397C22⋊C8—431no—
1398C22⋊C8—431no—
1399C22⋊C8—431no—
1400C22⋊C8—431no—
1401C22⋊C8—431no—
1402C22⋊C8C22×D4311yescharacteristic
1403C22⋊C8C22×D4311yescharacteristic
1404C4×C8—431no—
1405C4×C8—431no—
1406C4×C8—431no—
1407C4×C8C22×D4311yescharacteristic
1408C24—21no—
1409C24—861no—
1410C24—861no—
1411C24—861no—
1412C24—861no—
1413#41—22no—
1414#41—41no—
1415#41—862no—
1416#41—862no—
1417#41—862no—
1418#41—862no—
1419#41—862no—
1420#41—862no—
1421#41—862no—
1422#41—862no—
1423#41—862no—
1424#41—862no—
1425#41—862no—
1426#41—1721no—
1427#41—1724no—
1428#41—1721no—
1429#41—1721no—
1430#41—1724no—
1431C2×Q8—431no—
1432C2×Q8—431no—
1433C2×Q8—431no—
1434C2×Q8—431no—
1435C2×Q8—861no—
1436C2×Q8—861no—
1437C2×Q8—861no—
1438C2×Q8—862no—
1439C2×Q8—862no—
1440C2×Q8C23×D4311yescharacteristic
1441C2×Q8C23×D4311yescharacteristic
1442C2×D4—22no—
1443C2×D4—21no—
1444C2×D4—21no—
1445C2×D4—21no—
1446C2×D4—41no—
1447C2×D4—434no—
1448C2×D4—431no—
1449C2×D4—431no—
1450C2×D4—431no—
1451C2×D4—431no—
1452C2×D4—431no—
1453C2×D4—431no—
1454C2×D4—431no—
1455C2×D4—431no—
1456C2×D4—431no—
1457C2×D4—431no—
1458C2×D4—431no—
1459C2×D4—862no—
1460C2×D4—861no—
1461C2×D4—861no—
1462C2×D4—861no—
1463C2×D4—862no—
1464C2×D4—861no—
1465C2×D4—861no—
1466C2×D4—861no—
1467C2×D4—861no—
1468C2×D4—861no—
1469C2×D4—862no—
1470C2×D4—862no—
1471C2×D4—861no—
1472C2×D4—861no—
1473C2×D4—861no—
1474C2×D4—861no—
1475C2×D4—861no—
1476C2×D4—861no—
1477C2×D4—3442no—
1478C2×D4—3442no—
1479C2×D4—1721no—
1480C2×D4—1724no—
1481C2×D4—1721no—
1482C2×D4—1721no—
1483C2×D4—1724no—
1484C2×D4—1724no—
1485C2×D4—1724no—
1486C2×D4—1724no—
1487C2×D4—1724no—
1488C2×D4D4×D4311yescharacteristic
1489C2×D4C23×D4311yescharacteristic
1490C2×D4C23×D4311yescharacteristic
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—431no—
1495C22×C4—431no—
1496C22×C4—431no—
1497C22×C4—431no—
1498C22×C4—431no—
1499C22×C4—861no—
1500C22×C4—861no—
1501C22×C4—861no—
1502C22×C4—861no—
1503C22×C4—861no—
1504C22×C4—861no—
1505C22×C4—861no—
1506C22×C4—861no—
1507C22×C4—861no—
1508C22×C4—861no—
1509C22×C4—861no—
1510C22×C4—861no—
1511C22×C4—861no—
1512C22×C4—861no—
1513C22×C4—3442no—
1514C22×C4C23×D4311yescharacteristic
1515C22×C4C23×D4311yescharacteristic
1516Q16—41no—
1517Q16—1721no—
1518Q16—1721no—
1519Q16—1721no—
1520SD16—22no—
1521SD16—41no—
1522SD16—862no—
1523SD16—862no—
1524SD16—862no—
1525SD16—1721no—
1526SD16—1721no—
1527SD16—1721no—
1528M16—862no—
1529M16—862no—
1530M16—1721no—
1531M16—1721no—
1532M16—1721no—
1533M16—1721no—
1534C2×C8—41no—
1535C2×C8—41no—
1536C2×C8—431no—
1537C2×C8—431no—
1538C2×C8—431no—
1539C2×C8—431no—
1540C2×C8—862no—
1541C2×C8—862no—
1542C2×C8—1721no—
1543C2×C8—1721no—
1544C2×C8C23×D4311yescharacteristic
1545C2×C8C23×D4311yescharacteristic
1546C2×C8C23×D4311yescharacteristic
1547C2×C8C23×D4311yescharacteristic
1548C4⋊C4—21no—
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—431no—
1556C4⋊C4—431no—
1557C4⋊C4—431no—
1558C4⋊C4—431no—
1559C4⋊C4—431no—
1560C4⋊C4—431no—
1561C4⋊C4—431no—
1562C4⋊C4—861no—
1563C4⋊C4—861no—
1564C4⋊C4—861no—
1565C4⋊C4—861no—
1566C4⋊C4—861no—
1567C4⋊C4—861no—
1568C4⋊C4—861no—
1569C4⋊C4—861no—
1570C4⋊C4—861no—
1571C4⋊C4—861no—
1572C4⋊C4—861no—
1573C4⋊C4—861no—
1574C4⋊C4—861no—
1575C4⋊C4—861no—
1576C4⋊C4—861no—
1577C4⋊C4—861no—
1578C4⋊C4—861no—
1579C4⋊C4—861no—
1580C4⋊C4—861no—
1581C4⋊C4—861no—
1582C4⋊C4—861no—
1583C4⋊C4—861no—
1584C4⋊C4—861no—
1585C4⋊C4D4×D4311yescharacteristic
1586C4⋊C4C23×D4311yescharacteristic
1587C4⋊C4C23×D4311yescharacteristic
1588C4⋊C4C23×D4311yescharacteristic
1589C4⋊C4C23×D4311yescharacteristic
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—431no—
1599C22⋊C4—431no—
1600C22⋊C4—431no—
1601C22⋊C4—431no—
1602C22⋊C4—431no—
1603C22⋊C4—431no—
1604C22⋊C4—861no—
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—861no—
1617C22⋊C4—861no—
1618C22⋊C4—861no—
1619C22⋊C4—861no—
1620C22⋊C4—861no—
1621C22⋊C4—861no—
1622C22⋊C4—861no—
1623C22⋊C4—861no—
1624C22⋊C4—861no—
1625C22⋊C4—861no—
1626C22⋊C4D4×D4311yescharacteristic
1627C22⋊C4D4×D4311yescharacteristic
1628C42—21no—
1629C42—21no—
1630C42—431no—
1631C42—431no—
1632C42—431no—
1633C42—861no—
1634C42—861no—
1635C42—861no—
1636C42—861no—
1637C42—861no—
1638C42—861no—
1639C42—861no—
1640C42—861no—
1641C42C23×D4311yescharacteristic
1642C23—21no—
1643C23—21no—
1644C23—42no—
1645C23—81no—
1646C23—81no—
1647C23—431no—
1648C23—431no—
1649C23—431no—
1650C23—864no—
1651C23—861no—
1652C23—861no—
1653C23—3441no—
1654C23—3441no—
1655C23—3441no—
1656C23—3441no—
1657C23—3441no—
1658C23—3441no—
1659C23—3441no—
1660C23—3441no—
1661C23—1722no—
1662C23—1722no—
1663C23—1722no—
1664C23C2×D4×D4311yescharacteristic
1665C23C2×D4×D4311yescharacteristic
1666Q8—21no—
1667Q8—21no—
1668Q8—21no—
1669Q8—21no—
1670Q8—862no—
1671Q8—862no—
1672Q8—861no—
1673Q8—861no—
1674Q8—861no—
1675Q8—861no—
1676Q8—3441no—
1677Q8—1722no—
1678Q8—1722no—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—41no—
1683D4—42no—
1684D4—42no—
1685D4—81no—
1686D4—432no—
1687D4—862no—
1688D4—862no—
1689D4—864no—
1690D4—862no—
1691D4—862no—
1692D4—862no—
1693D4—862no—
1694D4—862no—
1695D4—862no—
1696D4—861no—
1697D4—861no—
1698D4—861no—
1699D4—3441no—
1700D4—3441no—
1701D4—3441no—
1702D4—3441no—
1703D4—1721no—
1704D4—1722no—
1705D4—1722no—
1706D4—1722no—
1707D4—1722no—
1708D4—1722no—
1709D4—1722no—
1710D4—1722no—
1711D4—1722no—
1712D4—1722no—
1713D4#41×D4312yes—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—42no—
1725C2×C4—81no—
1726C2×C4—81no—
1727C2×C4—431no—
1728C2×C4—431no—
1729C2×C4—432no—
1730C2×C4—432no—
1731C2×C4—431no—
1732C2×C4—431no—
1733C2×C4—431no—
1734C2×C4—862no—
1735C2×C4—861no—
1736C2×C4—861no—
1737C2×C4—861no—
1738C2×C4—861no—
1739C2×C4—861no—
1740C2×C4—861no—
1741C2×C4—861no—
1742C2×C4—861no—
1743C2×C4—861no—
1744C2×C4—861no—
1745C2×C4—3441no—
1746C2×C4—3441no—
1747C2×C4—3441no—
1748C2×C4—3441no—
1749C2×C4—3441no—
1750C2×C4—3441no—
1751C2×C4—1721no—
1752C2×C4—1722no—
1753C2×C4—1722no—
1754C2×C4—1722no—
1755C2×C4—1722no—
1756C2×C4—1722no—
1757C2×C4—1722no—
1758C2×C4—1722no—
1759C2×C4—1722no—
1760C2×C4C2×D4×D4311yescharacteristic
1761C2×C4C2×D4×D4311yescharacteristic
1762C2×C4C2×D4×D4311yescharacteristic
1763C2×C4C2×D4×D4311yescharacteristic
1764C2×C4C24×D4311yescharacteristic
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—21no—
1769C8—861no—
1770C8—861no—
1771C8—861no—
1772C8—861no—
1773C22—21no—
1774C22—21no—
1775C22—22no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—21no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—162no—
1786C22—432no—
1787C22—861no—
1788C22—861no—
1789C22—861no—
1790C22—861no—
1791C22—862no—
1792C22—861no—
1793C22—861no—
1794C22—861no—
1795C22—861no—
1796C22—3444no—
1797C22—1721no—
1798C22—1721no—
1799C22—1721no—
1800C22—1721no—
1801C22—1721no—
1802C22—6882no—
1803C22—6882no—
1804C22—6882no—
1805C22C22×D4×D4311yescharacteristic
1806C4—21no—
1807C4—21no—
1808C4—21no—
1809C4—21no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—432no—
1817C4—432no—
1818C4—861no—
1819C4—861no—
1820C4—861no—
1821C4—1721no—
1822C4—1721no—
1823C4—1721no—
1824C4—1721no—
1825C4—1721no—
1826C4—1721no—
1827C4C2×#41×D4311yescharacteristic
1828C4H(5,𝔽2)×D4311yescharacteristic
1829C2—41no—
1830C2—41no—
1831C2—42no—
1832C2—81no—
1833C2—862no—
1834C2—3441no—
1835C2—1721no—
1836C2—1721no—
1837C2—1722no—
1838C2#546×D4311yescharacteristic
1839C2#577×D4311yescharacteristic
1840C2#1914936411yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3296C2
socleC22×C43C23×D4
prime radical#19148355C2
hypercenter#3296D43
hypocenterC43#61212
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3296

Complements

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

NH ≅ G/Ntype
1. #19148454C2semidirect
3. #19146909C2semidirect
4. #19146904C2semidirect
5. #19146824C2semidirect
6. #19146819C2semidirect
7. #19146818C2semidirect
8. #19146811C2semidirect
9. #19146808C2semidirect
10. #19146805C2semidirect
11. #19146508C2semidirect
12. #19146507C2semidirect
13. #19146435C2semidirect
14. #19146432C2semidirect
15. #19146429C2semidirect
16. #19146415C2semidirect
17. #19146414C2semidirect
18. #19144916C2semidirect
19. #19144587C2semidirect
20. #19144579C2semidirect
21. #19144390C2semidirect
22. #19144285C2semidirect
23. #19144279C2semidirect
24. #19144065C2semidirect
25. #19143869C2semidirect
26. #19143867C2semidirect
27. C4×SD16×D43C2semidirect
28. #19143302C2semidirect
29. #19143117C2semidirect
30. #19143116C2semidirect
31. C43×#3296C2semidirect
34. C2×#13063357C22semidirect
35. C2×#13063354C22semidirect
37. C2×#13063331C22semidirect
38. C2×#13063331C22semidirect
41. #14583620C22semidirect
43. #14583617C22semidirect
45. #14583607C22semidirect
46. #14583604C22semidirect
47. #14583590C22semidirect
48. #14583589C22semidirect
49. #14583587C22semidirect
65. #14583472C22semidirect
66. #14583472C22semidirect
69. #14583455C22semidirect
76. #14583380C22semidirect
77. #14583379C22semidirect
78. C4×Q8×D43C22semidirect
80. #14583256C22semidirect
81. #14583254C22semidirect
82. #14583253C22semidirect
83. #14583248C22semidirect
84. #14583248C22semidirect
85. #14583244C22semidirect
86. #14583244C22semidirect
87. #14583242C22semidirect
88. #14583240C22semidirect
89. #14583239C22semidirect
90. #14583237C22semidirect
91. #14583231C22semidirect
92. #14583230C22semidirect
93. #14583228C22semidirect
94. #14583225C22semidirect
95. #14583224C22semidirect
96. #14583222C22semidirect
97. #14583219C22semidirect
98. #14583217C22semidirect
99. #14583216C22semidirect
100. #14583215C22semidirect
101. #14583200C22semidirect
102. #14583199C22semidirect
103. #14583196C22semidirect
104. #14583188C22semidirect
105. #14583187C22semidirect
106. #14583178C22semidirect
107. #14583177C22semidirect
108. #14583158C22semidirect
109. #14583155C22semidirect
110. #14583155C22semidirect
111. #14583154C22semidirect
112. #14583147C22semidirect
113. #14583146C22semidirect
114. #14583143C22semidirect
115. #14583142C22semidirect
116. #14583140C22semidirect
117. #14583139C22semidirect
118. #14583139C22semidirect
119. #14583131C22semidirect
120. #14583128C22semidirect
121. #14583127C22semidirect
122. #14583122C22semidirect
123. #14583121C22semidirect
124. #14583118C22semidirect
125. #14583108C22semidirect
126. #14583107C22semidirect
127. #14583098C22semidirect
128. #14583097C22semidirect
129. #14583064C22semidirect
130. #14583063C22semidirect
131. #14583062C22semidirect
132. #14583061C22semidirect
133. #14583060C22semidirect
134. #14583059C22semidirect
135. #14583058C22semidirect
136. #14583052C22semidirect
137. #14583051C22semidirect
138. #14583051C22semidirect
139. #14583050C22semidirect
140. #14583049C22semidirect
141. #14583048C22semidirect
142. #14583048C22semidirect
143. #14582990C22semidirect
144. C4×#10621873C22semidirect
145. SD16×Dic43C22semidirect
146. C4×#10621884C22semidirect
147. #14582986C22semidirect
148. C4×#10621883C22semidirect
149. #14582984C22semidirect
150. #14582977C22semidirect
151. #14582976C22semidirect
152. #14582974C22semidirect
153. #14582974C22semidirect
154. C8×D172C22semidirect
155. C8×C22⋊D43C22semidirect
156. C8×C22⋊D43C22semidirect
157. #14582940C22semidirect
158. #14582938C22semidirect
159. #106×D43C22semidirect
160. #14582921C22semidirect
161. #14582904C22semidirect
162. #14582903C22semidirect
165. #14582902C22semidirect
166. #14582902C22semidirect
167. #14582900C22semidirect
168. #14582899C22semidirect
169. #14582899C22semidirect
170. #14582898C22semidirect
171. #14582897C22semidirect
172. #14582897C22semidirect
173. #14582896C22semidirect
174. #14582894C22semidirect
175. #14582894C22semidirect
176. #14582894C22semidirect
177. #14582892C22semidirect
178. #14582892C22semidirect
179. #14582892C22semidirect
180. #103×D43C22semidirect
181. C2×#13063247C22semidirect
183. #102×D43C22semidirect
184. #102×D43C22semidirect
185. #14582864C22semidirect
186. #14582864C22semidirect
187. C4×C8×D43C22semidirect
188. C43×#552C22semidirect
190. C43×#488C22semidirect
191. C43×#483C22semidirect
192. C43×#482C22semidirect
193. C43×#478C22semidirect
194. C43×#467C22semidirect
195. C43×#465C22semidirect
196. C43×#464C22semidirect
197. C43×#452C22semidirect
198. C43×#450C22semidirect
199. C4×SD16×C43C22semidirect
200. C8×D4×C43C22semidirect
201. C43×#416C22semidirect
202. C2×#102×C43C22semidirect
924. #3296D43semidirect
970. #552C2×D43semidirect
1005. #488C2×D43semidirect
1017. #483C2×D43semidirect
1021. #482C2×D43semidirect
1029. #478C2×D43semidirect
1045. #467C2×D43semidirect
1049. #465C2×D43semidirect
1053. #464C2×D43semidirect
1065. #452C2×D43semidirect
1073. #450C2×D43semidirect
1081. C4×SD16C2×D43semidirect
1089. C8×D4C2×D43semidirect
1113. #416C2×D43semidirect
1119. C2×#102C2×D43semidirect
1123. C43#61212semidirect

Maximal subgroups

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

subgroupindex
#191484542
#191483552
#191469092
#191469042
#191468242
#191468192
#191468182
#191468112
#191468082
#191468052
#191465082
#191465072
#191464352
#191464322
#191464292
#191464152
#191464142
#191449162
#191445872
#191445792
#191443902
#191442852
#191442792
#191440652
#191438692
#191438672
C4×SD16×D432
#191433022
#191431172
#191431162
C43×#32962
#6121243