Finite Group Databasebeta

← #25982723

Subgroups — #25982723

Order 11008.

2146 conjugacy classes of subgroups.

The subgroup lattice has 1916 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148826C211yesmaximal, characteristic, complemented
2#19148245C211yesmaximal, characteristic, complemented
3#19146773C211yesmaximal, characteristic, complemented
4#19146772C211yesmaximal, characteristic, complemented
5#19146766C211yesmaximal, characteristic, complemented
6#19146759C211yesmaximal, characteristic, complemented
7#19146502C211yesmaximal, characteristic, complemented
8#19146501C211yesmaximal, characteristic, complemented
9#19146499C211yesmaximal, characteristic, complemented
10#19146492C211yesmaximal, characteristic, complemented
11#19146290C211yesmaximal, characteristic, complemented
12#19146289C211yesmaximal, characteristic, complemented
13SD16×C22⋊D43C211yesmaximal, characteristic, complemented
14#19146090C211yesmaximal, characteristic, complemented
15#19146088C211yesmaximal, characteristic, complemented
16#19146086C211yesmaximal, characteristic, complemented
17#19146085C211yesmaximal, characteristic, complemented
18#19145655C211yesmaximal, characteristic, complemented
19#19145649C211yesmaximal, characteristic, complemented
20#19145464C211yesmaximal, characteristic, complemented
21#19145461C211yesmaximal, characteristic, complemented
22#19145363C211yesmaximal, characteristic, complemented
23#19145361C211yesmaximal, characteristic, complemented
24#19144884C211yesmaximal, characteristic, complemented
25#19144883C211yesmaximal, characteristic, complemented
26#19143877C211yesmaximal, characteristic, complemented
27#19143876C211yesmaximal, characteristic, complemented
28C2×#14583036C211yesmaximal, characteristic, complemented
29#448×D43C211yesmaximal, characteristic, complemented
30#19143648C211yesmaximal, characteristic, complemented
31D4×SD16×C43C211yesmaximal, characteristic, complemented
32C2×#13063373C2211yescharacteristic, complemented
33C22×Q8×D43C2211yescharacteristic, complemented
34C2×#13063352C2211yescharacteristic, complemented
35C2×#13063351C2211yescharacteristic, complemented
36C22×#10621883C2211yescharacteristic, complemented
37C2×SD16×D43C2211yescharacteristic, complemented
38C2×SD16×D43C2211yescharacteristic, complemented
39C2×SD16×D43C2211yescharacteristic, complemented
40#14583638—21no—
41#14583637—21no—
42#14583601C2211yescharacteristic
43#14583599C2211yescharacteristic
44#14583596C2211yescharacteristic
45#14583595C2211yescharacteristic
46#14583564—21no—
47#14583564C2211yescharacteristic, complemented
48Q8×C22⋊D43C2211yescharacteristic, complemented
49#14583562—21no—
50#14583562C2211yescharacteristic, complemented
51#14583561C2211yescharacteristic, complemented
52#14583560C2211yescharacteristic, complemented
53#14583559—21no—
54#14583559C2211yescharacteristic, complemented
55#14583558—21no—
56#14583558C2211yescharacteristic, complemented
57#14583534C2211yescharacteristic
58D4×C22⋊D43—21no—
59D4×C22⋊D43C2211yescharacteristic
60D4×C22⋊D43C2211yescharacteristic
61#14583531—21no—
62#14583503C2211yescharacteristic
63#14583500C2211yescharacteristic
64#14583484—21no—
65#14583481—21no—
66#14583474—21no—
67#14583474C2211yescharacteristic, complemented
68#14583472—21no—
69#14583472C2211yescharacteristic, complemented
70#14583466C2211yescharacteristic
71#14583465C2211yescharacteristic
72#14583459—21no—
73#14583458—21no—
74#14583412—21no—
75#14583412C2211yescharacteristic, complemented
76#14583408—21no—
77#14583408C2211yescharacteristic
78C2×#13063296C2211yescharacteristic
79#121×D43C2211yescharacteristic
80#14583375C2211yescharacteristic, complemented
81#14583286C2211yescharacteristic, complemented
82#14583285C2211yescharacteristic, complemented
83#14583270C2211yescharacteristic, complemented
84#14583267C2211yescharacteristic, complemented
85#14583266C2211yescharacteristic, complemented
86#14583255C2211yescharacteristic, complemented
87#14583254C2211yescharacteristic, complemented
88#14583243C2211yescharacteristic, complemented
89#14583241C2211yescharacteristic, complemented
90#14583238C2211yescharacteristic, complemented
91#14583237C2211yescharacteristic, complemented
92#14583233C2211yescharacteristic, complemented
93#14583232C2211yescharacteristic, complemented
94#14583225C2211yescharacteristic, complemented
95#14583222C2211yescharacteristic, complemented
96#14583222C2211yescharacteristic, complemented
97#14583221C2211yescharacteristic, complemented
98#14583219C2211yescharacteristic, complemented
99#14583218C2211yescharacteristic, complemented
100#14583209C2211yescharacteristic, complemented
101#14583207C2211yescharacteristic, complemented
102#14583206C2211yescharacteristic, complemented
103#14583204C2211yescharacteristic, complemented
104#14583147C2211yescharacteristic, complemented
105#14583144C2211yescharacteristic, complemented
106#14583143C2211yescharacteristic, complemented
107#14583142C2211yescharacteristic, complemented
108#14583135C2211yescharacteristic, complemented
109#14583134C2211yescharacteristic, complemented
110#14583134C2211yescharacteristic, complemented
111#14583133C2211yescharacteristic, complemented
112#14583130C2211yescharacteristic, complemented
113#14583128C2211yescharacteristic, complemented
114#14583127C2211yescharacteristic, complemented
115#14583125C2211yescharacteristic, complemented
116#14583125C2211yescharacteristic, complemented
117#14583125C2211yescharacteristic, complemented
118#14583116C2211yescharacteristic, complemented
119#14583116C2211yescharacteristic, complemented
120#14583115C2211yescharacteristic, complemented
121#14583114C2211yescharacteristic, complemented
122#14583102C2211yescharacteristic, complemented
123#14583102C2211yescharacteristic, complemented
124#14583101C2211yescharacteristic, complemented
125#14583098C2211yescharacteristic, complemented
126#14583097C2211yescharacteristic, complemented
127#14583096C2211yescharacteristic, complemented
128#14583051C2211yescharacteristic, complemented
129#14583050C2211yescharacteristic, complemented
130#14583048C2211yescharacteristic, complemented
131#14583048C2211yescharacteristic, complemented
132#14583047C2211yescharacteristic, complemented
133#14583046C2211yescharacteristic, complemented
134#14583043C2211yescharacteristic, complemented
135#14583043C2211yescharacteristic, complemented
136#14583043C2211yescharacteristic, complemented
137#14583043C2211yescharacteristic, complemented
138#14583043C2211yescharacteristic, complemented
139#14583042C2211yescharacteristic, complemented
140#14583040C2211yescharacteristic, complemented
141#14583039C2211yescharacteristic, complemented
142#14583039C2211yescharacteristic, complemented
143#14583038C2211yescharacteristic, complemented
144#14583038C2211yescharacteristic, complemented
145#14583037C2211yescharacteristic, complemented
146#14583036C2211yescharacteristic, complemented
147#14583036C2211yescharacteristic, complemented
148#14583036C2211yescharacteristic, complemented
149#14583036C2211yescharacteristic, complemented
150#14583036C2211yescharacteristic, complemented
151#14583036C2211yescharacteristic, complemented
152#14583036C2211yescharacteristic, complemented
153#14583036C2211yescharacteristic, complemented
154#14583036C2211yescharacteristic, complemented
155#14583036C2211yescharacteristic, complemented
156#14583036C2211yescharacteristic, complemented
157#14583036C2211yescharacteristic, complemented
158#14583034C2211yescharacteristic, complemented
159#14583033C2211yescharacteristic, complemented
160#14583000C2211yescharacteristic, complemented
161#14582999C2211yescharacteristic, complemented
162#14582997C2211yescharacteristic, complemented
163#14582996C2211yescharacteristic, complemented
164#14582990C2211yescharacteristic, complemented
165C4×#10621873C2211yescharacteristic, complemented
166SD16×Dic43C2211yescharacteristic, complemented
167#14582973C2211yescharacteristic, complemented
168#14582971C2211yescharacteristic, complemented
169#14582970C2211yescharacteristic, complemented
170#14582969C2211yescharacteristic, complemented
171C8×D172C2211yescharacteristic, complemented
172C8×C22⋊D43C2211yescharacteristic, complemented
173(C22⋊D43)⋊C8C2211yescharacteristic, complemented
174#14582959C2211yescharacteristic, complemented
175#14582958C2211yescharacteristic, complemented
176#14582908C2211yescharacteristic, complemented
177#14582906C2211yescharacteristic, complemented
178#14582896C2211yescharacteristic, complemented
179#14582894C2211yescharacteristic, complemented
180C2×#13063250C2211yescharacteristic, complemented
181C2×#13063249C2211yescharacteristic, complemented
182#103×D43C2211yescharacteristic, complemented
183#103×D43C2211yescharacteristic, complemented
184#14582865C2211yescharacteristic, complemented
185#14582864C2211yescharacteristic, complemented
186C2×(C2×D43)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D43C2211yescharacteristic, complemented
188C22×SD16×C43C2211yescharacteristic, complemented
189C22×SD16×C43C2211yescharacteristic, complemented
190D4×Q8×C43C2211yescharacteristic, complemented
191D42×C43C2211yescharacteristic
192C43×#492C2211yescharacteristic, complemented
193C43×#465C2211yescharacteristic, complemented
194C43×#465C2211yescharacteristic, complemented
195C43×#461C2211yescharacteristic, complemented
196C43×#460C2211yescharacteristic, complemented
197C43×#450C2211yescharacteristic, complemented
198C43×#450C2211yescharacteristic, complemented
199C43×#448C2211yescharacteristic, complemented
200C43×#448C2211yescharacteristic, complemented
201C4×SD16×C43C2211yescharacteristic, complemented
202C8×D4×C43C2211yescharacteristic, complemented
203#13063373—42no—
204#13063373—42no—
205C2×#10621902—21no—
206C2×#10621902C2311yescharacteristic
207C2×#10621902C2311yescharacteristic
208C2×#10621898—21no—
209C2×#10621898—21no—
210C2×#10621898C2311yescharacteristic
211C2×#10621898C2311yescharacteristic
212C22×Dic86—21no—
213C22×Dic86C2311yescharacteristic
214C2×Q8×D43—21no—
215C2×Q8×D43—21no—
216C2×Q8×D43—21no—
217C2×Q8×D43—42no—
218C2×Q8×D43—42no—
219C2×Q8×D43C2311yescharacteristic
220C2×Q8×D43C2311yescharacteristic
221C2×Q8×D43C2311yescharacteristic
222C2×Q8×D43C2311yescharacteristic
223C2×Q8×D43C2311yescharacteristic
224C22×C22⋊D43—21no—
225C22×C22⋊D43—21no—
226C22×C22⋊D43—21no—
227C2×D4×D43—21no—
228C2×D4×D43—21no—
229C2×D4×D43C2311yescharacteristic
230C2×D4×D43C2311yescharacteristic
231C22×C4×D43—21no—
232C22×C4×D43C2311yescharacteristic
233#13063352—42no—
234#13063351—42no—
235C2×#10621873C2311yescharacteristic
236C2×#10621873C2311yescharacteristic
237C2×#10621883—42no—
238C2×#10621883C2311yescharacteristic
239C2×#10621883C2311yescharacteristic
240C2×#10621883C2311yescharacteristic
241C2×#10621883C2311yescharacteristic
242C2×#10621883C2311yescharacteristic
243C2×#10621883C2311yescharacteristic
244C2×#10621884C2311yescharacteristic
245C2×#10621884C2311yescharacteristic
246C2×#10621884C2311yescharacteristic
247SD16×D43—42no—
248SD16×D43—42no—
249SD16×D43—42no—
250C2×D344C2311yescharacteristic
251C2×#10621882C2311yescharacteristic
252C2×#10621882C2311yescharacteristic
253C2×#10621882C2311yescharacteristic
254C2×#10621877C2311yescharacteristic
255C2×#10621872C2311yescharacteristic
256C22×C43⋊C8C2311yescharacteristic
257C2×C8×D43C2311yescharacteristic
258C2×C8×D43C2311yescharacteristic
259C2×C8×D43C2311yescharacteristic
260#13063324—21no—
261#13063324—21no—
262#13063324—21no—
263#13063323—21no—
264#13063323C2311yescharacteristic
265#13063321—21no—
266#13063321—21no—
267#13063321C2311yescharacteristic
268#13063320—21no—
269#13063318—21no—
270#13063318—21no—
271#13063318—21no—
272#13063317C2311yescharacteristic
273#13063316C2311yescharacteristic
274#13063314—21no—
275#13063314C2311yescharacteristic
276#13063313—21no—
277#13063313C2311yescharacteristic
278#13063312—21no—
279#13063311—21no—
280#13063311—21no—
281#13063311—21no—
282#13063311—21no—
283#13063310—21no—
284#13063310—21no—
285#13063310—21no—
286#13063310—21no—
287#13063310D411yescharacteristic
288#13063309—21no—
289#13063308—21no—
290#13063308—21no—
291#13063307—21no—
292#13063307—21no—
293#13063307—21no—
294#13063307D411yescharacteristic
295#13063306—21no—
296#13063306—21no—
297#13063306—21no—
298#13063305—21no—
299#13063305C2311yescharacteristic
300#13063304—21no—
301#13063304C2311yescharacteristic
302#13063303—21no—
303#13063303—21no—
304#13063303—21no—
305#13063303—21no—
306#13063303—21no—
307#13063303—21no—
308#13063303—21no—
309#13063303D411yescharacteristic
310#13063302—21no—
311#13063302D411yescharacteristic
312#13063301—21no—
313#13063301—21no—
314#13063301C2311yescharacteristic
315#13063301C2311yescharacteristic
316#13063300—21no—
317#13063300C2311yescharacteristic
318#13063300C2311yescharacteristic
319#13063299—21no—
320#13063299—21no—
321#13063299C2311yescharacteristic
322#13063299C2311yescharacteristic
323#13063299C2311yescharacteristic
324#13063298—21no—
325#13063298—21no—
326#13063298—21no—
327#13063298—21no—
328#13063298D411yescharacteristic
329#13063297—21no—
330#13063297—21no—
331#13063297—21no—
332#13063297—21no—
333#13063297—21no—
334#13063297—21no—
335#13063297—21no—
336#13063297—21no—
337#13063297D411yescharacteristic
338#13063296—21no—
339#13063296—21no—
340#13063296—21no—
341#13063296—21no—
342#13063296C2311yescharacteristic
343#13063296C2311yescharacteristic
344#13063296C2311yescharacteristic
345#13063296C2311yescharacteristic
346#13063296C2311yescharacteristic
347#13063296C2311yescharacteristic
348#13063296C2311yescharacteristic
349#13063295—21no—
350#13063295—21no—
351#13063295D411yescharacteristic
352#13063294—21no—
353#13063294—21no—
354#13063294—21no—
355#13063294—21no—
356#13063293—21no—
357#13063293—21no—
358#13063293—21no—
359#13063293—21no—
360#13063293—21no—
361#13063293D411yescharacteristic
362Q8×Dic43C2311yescharacteristic
363C4×Dic86—21no—
364C4×Dic86C2311yescharacteristic
365#13063290—21no—
366#13063290C2311yescharacteristic
367C4×D172—21no—
368C4×D172C2311yescharacteristic
369C4×D172C2311yescharacteristic
370D4×Dic43—21no—
371D4×Dic43C2311yescharacteristic
372D4×Dic43C2311yescharacteristic
373#13063287—21no—
374#13063287—21no—
375#13063287—21no—
376C4×C22⋊D43—21no—
377C4×C22⋊D43—21no—
378C4×C22⋊D43—21no—
379C4×C22⋊D43C2311yescharacteristic
380C4×C22⋊D43C2311yescharacteristic
381(C22⋊D43)⋊C4—21no—
382(C22⋊D43)⋊C4—21no—
383(C22⋊D43)⋊C4—21no—
384(C22⋊D43)⋊C4—21no—
385(C22⋊D43)⋊C4—21no—
386#13063284C2311yescharacteristic
387#13063283—21no—
388#13063283C2311yescharacteristic
389#13063283C2311yescharacteristic
390#13063282—21no—
391#13063282C2311yescharacteristic
392C2×C4⋊Dic43C2311yescharacteristic
393C4⋊C4×D43C2311yescharacteristic
394C2×C22⋊Dic43—21no—
395C22⋊C4×D43—21no—
396#13063259C2311yescharacteristic
397#13063258C2311yescharacteristic
398#13063258C2311yescharacteristic
399#13063258C2311yescharacteristic
400#13063257C2311yescharacteristic
401#13063257C2311yescharacteristic
402#13063256C2311yescharacteristic
403C4⋊(C43⋊C8)C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405Dic43⋊C8C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063249C2311yescharacteristic
419#13063249C2311yescharacteristic
420#13063249C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063247C2311yescharacteristic
426#13063247C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063245C2311yescharacteristic
431#13063245C2311yescharacteristic
432C22⋊(C43⋊C8)C2311yescharacteristic
433C22⋊(C43⋊C8)C2311yescharacteristic
434(C2×D43)⋊C8C2311yescharacteristic
435(C2×D43)⋊C8C2311yescharacteristic
436(C2×D43)⋊C8C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441(C2×D43)⋊C8C2311yescharacteristic
442#13063236C2311yescharacteristic
443#13063235C2311yescharacteristic
444C8×Dic43C2311yescharacteristic
445C22×Q8×C43C2311yescharacteristic
446C22×Q8×C43C2311yescharacteristic
447C22×D4×C43—21no—
448C22×D4×C43C2311yescharacteristic
449C22×D4×C43C2311yescharacteristic
450C2×SD16×C43—42no—
451C2×SD16×C43—42no—
452C2×SD16×C43C2311yescharacteristic
453C2×SD16×C43C2311yescharacteristic
454C2×SD16×C43C2311yescharacteristic
455C2×SD16×C43C2311yescharacteristic
456C2×SD16×C43C2311yescharacteristic
457C2×SD16×C43C2311yescharacteristic
458C2×SD16×C43C2311yescharacteristic
459C2×SD16×C43C2311yescharacteristic
460C2×SD16×C43C2311yescharacteristic
461C22×C8×C43C2311yescharacteristic
462C22×C8×C43C2311yescharacteristic
463C4⋊Q8×C43—21no—
464C4⋊Q8×C43C2311yescharacteristic
465#127×C43C2311yescharacteristic
466C22⋊Q8×C43—21no—
467C22⋊Q8×C43—21no—
468C22⋊Q8×C43C2311yescharacteristic
469C22⋊Q8×C43C2311yescharacteristic
470#121×C43—21no—
471#121×C43C2311yescharacteristic
472#121×C43C2311yescharacteristic
473#120×C43—21no—
474#120×C43—21no—
475C4×Q8×C43C2311yescharacteristic
476C4×D4×C43—21no—
477C4×D4×C43C2311yescharacteristic
478C4×D4×C43C2311yescharacteristic
479#106×C43C2311yescharacteristic
480C4⋊C8×C43C2311yescharacteristic
481#103×C43C2311yescharacteristic
482#103×C43C2311yescharacteristic
483#103×C43C2311yescharacteristic
484#102×C43C2311yescharacteristic
485#102×C43C2311yescharacteristic
486#102×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488C22⋊C8×C43C2311yescharacteristic
489C4×C8×C43C2311yescharacteristic
490C24×C43—21no—
491C24×C43—21no—
492C23×D43—21no—
493C23×D43—21no—
494C23×D43C2×D411yescharacteristic
495C2×Q8×C43—21no—
496C2×Q8×C43—21no—
497C2×Q8×C43—22no—
498C2×Q8×C43—22no—
499C2×Q8×C43—41no—
500C2×Q8×C43—41no—
501C2×Q8×C43C2411yescharacteristic
502C2×Q8×C43C2411yescharacteristic
503C2×Q8×C43C2411yescharacteristic
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—41no—
513C2×D4×C43—41no—
514C2×D4×C43—82no—
515C2×D4×C43C2×D411yescharacteristic
516C2×D4×C43C2411yescharacteristic
517C2×D4×C43C2411yescharacteristic
518C2×D4×C43C2411yescharacteristic
519C22×C4×C43—21no—
520C22×C4×C43—21no—
521C22×C4×C43—21no—
522C22×C4×C43C2411yescharacteristic
523C22×C4×C43C2411yescharacteristic
524C2×C22⋊D43—21no—
525C2×C22⋊D43—21no—
526C2×C22⋊D43—21no—
527C2×C22⋊D43—21no—
528C2×C22⋊D43—21no—
529C2×C22⋊D43—21no—
530C2×C22⋊D43—21no—
531C2×C22⋊D43—21no—
532C2×C22⋊D43—21no—
533C2×C22⋊D43—21no—
534C2×C22⋊D43—21no—
535C2×C22⋊D43—21no—
536C2×C22⋊D43—21no—
537C2×C22⋊D43—21no—
538C2×C22⋊D43—21no—
539C2×C22⋊D43—82no—
540C2×C22⋊D43—82no—
541C2×C22⋊D43—82no—
542C2×C22⋊D43C2×D411yescharacteristic
543C2×C22⋊D43C2×D411yescharacteristic
544C2×C22⋊D43C2×D411yescharacteristic
545C2×C22⋊D43C2×D411yescharacteristic
546C22×Dic43—21no—
547C22×Dic43—21no—
548C22×Dic43—21no—
549C22×Dic43—21no—
550C22×Dic43C2×D411yescharacteristic
551#10621902—22no—
552#10621902—41no—
553#10621902—41no—
554#10621902—41no—
555#10621902—44no—
556Q8×D43—22no—
557Q8×D43—22no—
558Q8×D43—22no—
559Q8×D43—22no—
560Q8×D43—22no—
561Q8×D43—41no—
562Q8×D43—41no—
563Q8×D43—41no—
564Q8×D43—41no—
565Q8×D43—41no—
566Q8×D43—44no—
567Q8×D43—44no—
568Q8×D43—44no—
569D4×D43—41no—
570D4×D43—41no—
571D4×D43—41no—
572D4×D43—41no—
573D4×D43—82no—
574D4×D43—82no—
575#10621898—22no—
576#10621898—41no—
577#10621898—44no—
578#10621898—41no—
579#10621898—41no—
580#10621898—44no—
581C2×D172—21no—
582C2×D172—21no—
583C2×D172—21no—
584C2×D172—21no—
585C2×D172C2×D411yescharacteristic
586C2×D172C2×D411yescharacteristic
587C2×D172C2411yescharacteristic
588C2×D172C2411yescharacteristic
589C2×C4×D43—21no—
590C2×C4×D43—21no—
591C2×C4×D43—21no—
592C2×C4×D43—21no—
593C2×C4×D43—21no—
594C2×C4×D43—21no—
595C2×C4×D43—21no—
596C2×C4×D43—21no—
597C2×C4×D43—21no—
598C2×C4×D43—21no—
599C2×C4×D43—41no—
600C2×C4×D43—41no—
601C2×C4×D43—44no—
602C2×C4×D43C2×D411yescharacteristic
603C2×C4×D43C2×D411yescharacteristic
604C2×C4×D43C2411yescharacteristic
605C2×C4×D43C2411yescharacteristic
606C2×C4×D43C2411yescharacteristic
607C2×Dic86—21no—
608C2×Dic86—22no—
609C2×Dic86—21no—
610C2×Dic86—21no—
611C2×Dic86—21no—
612C2×Dic86—21no—
613C2×Dic86—21no—
614C2×Dic86—41no—
615C2×Dic86—44no—
616C2×Dic86C2×D411yescharacteristic
617C2×Dic86C2411yescharacteristic
618C2×Dic86C2411yescharacteristic
619SD16×C43—22no—
620SD16×C43—22no—
621SD16×C43—22no—
622SD16×C43—41no—
623SD16×C43—41no—
624SD16×C43—41no—
625SD16×C43—41no—
626SD16×C43—41no—
627SD16×C43—41no—
628C2×C8×C43—41no—
629C2×C8×C43—41no—
630C2×C8×C43C2411yescharacteristic
631C2×C8×C43C2411yescharacteristic
632C2×C8×C43C2411yescharacteristic
633C2×C8×C43C2411yescharacteristic
634C4⋊C4×C43—21no—
635C4⋊C4×C43—21no—
636C4⋊C4×C43—21no—
637C4⋊C4×C43—21no—
638C4⋊C4×C43—21no—
639C4⋊C4×C43C2×D411yescharacteristic
640C4⋊C4×C43C2411yescharacteristic
641C4⋊C4×C43C2411yescharacteristic
642C22⋊C4×C43—21no—
643C22⋊C4×C43—21no—
644C22⋊C4×C43—21no—
645C22⋊C4×C43—21no—
646C22⋊C4×C43—21no—
647C22⋊C4×C43C2×D411yescharacteristic
648C22⋊C4×C43C2×D411yescharacteristic
649C42×C43—21no—
650C42×C43C2411yescharacteristic
651C22⋊Dic43—21no—
652C22⋊Dic43—21no—
653C22⋊Dic43—21no—
654C22⋊Dic43—21no—
655C22⋊Dic43—21no—
656C22⋊Dic43—21no—
657C22⋊Dic43—21no—
658C22⋊Dic43—21no—
659C22⋊Dic43—21no—
660C22⋊Dic43—21no—
661C22⋊Dic43—21no—
662C22⋊Dic43C2×D411yescharacteristic
663C22⋊Dic43C2×D411yescharacteristic
664#10621884—22no—
665#10621884—41no—
666#10621884—41no—
667#10621883—22no—
668#10621883—22no—
669#10621883—22no—
670#10621883—41no—
671#10621883—41no—
672#10621883—41no—
673#10621882—41no—
674#10621882—41no—
675#10621882—41no—
676(C2×D43)⋊C4—21no—
677(C2×D43)⋊C4—21no—
678(C2×D43)⋊C4—21no—
679(C2×D43)⋊C4—21no—
680(C2×D43)⋊C4—21no—
681(C2×D43)⋊C4—21no—
682(C2×D43)⋊C4—21no—
683(C2×D43)⋊C4—21no—
684(C2×D43)⋊C4—21no—
685(C2×D43)⋊C4—21no—
686(C2×D43)⋊C4—21no—
687(C2×D43)⋊C4—21no—
688(C2×D43)⋊C4—21no—
689(C2×D43)⋊C4—21no—
690(C2×D43)⋊C4—21no—
691(C2×D43)⋊C4C2×D411yescharacteristic
692(C2×D43)⋊C4C2×D411yescharacteristic
693(C2×D43)⋊C4C2×D411yescharacteristic
694(C2×D43)⋊C4C2×D411yescharacteristic
695(C2×D43)⋊C4C2×D411yescharacteristic
696(C2×D43)⋊C4C2×D411yescharacteristic
697C4⋊Dic43—21no—
698C4⋊Dic43—21no—
699C4⋊Dic43—21no—
700C4⋊Dic43—21no—
701C4⋊Dic43C2×D411yescharacteristic
702C4⋊Dic43C2411yescharacteristic
703C4⋊Dic43C2411yescharacteristic
704C4⋊Dic43C2411yescharacteristic
705C4⋊Dic43C2411yescharacteristic
706Dic43⋊C4—21no—
707Dic43⋊C4—21no—
708Dic43⋊C4—21no—
709Dic43⋊C4—21no—
710Dic43⋊C4—21no—
711Dic43⋊C4—21no—
712Dic43⋊C4—21no—
713Dic43⋊C4—21no—
714Dic43⋊C4—21no—
715Dic43⋊C4—21no—
716Dic43⋊C4—21no—
717Dic43⋊C4C2×D411yescharacteristic
718Dic43⋊C4C2×D411yescharacteristic
719Dic43⋊C4C2×D411yescharacteristic
720Dic43⋊C4C2×D411yescharacteristic
721C4×Dic43—21no—
722C4×Dic43—21no—
723C4×Dic43—21no—
724C4×Dic43—21no—
725C4×Dic43—21no—
726C4×Dic43—21no—
727C4×Dic43C2411yescharacteristic
728#10621877—41no—
729C2×C43⋊C8—41no—
730C2×C43⋊C8C2411yescharacteristic
731C2×C43⋊C8C2411yescharacteristic
732C2×C43⋊C8C2411yescharacteristic
733C2×C43⋊C8C2411yescharacteristic
734D344—41no—
735#10621873—22no—
736#10621873—41no—
737#10621872—41no—
738C8×D43—41no—
739C8×D43—41no—
740C8×D43—41no—
741C23×C43—21no—
742C23×C43—21no—
743C23×C43—21no—
744C23×C43—42no—
745C23×C43—81no—
746C23×C43—81no—
747C23×C43—81no—
748C23×C43—81no—
749C23×C43—81no—
750C23×C43C22×D411yescharacteristic
751C23×C43C22×D411yescharacteristic
752C22×D43—22no—
753C22×D43—22no—
754C22×D43—21no—
755C22×D43—21no—
756C22×D43—41no—
757C22×D43—42no—
758C22×D43—81no—
759C22×D43—81no—
760C22×D43—81no—
761C22×D43—81no—
762C22×D43—81no—
763C22×D43C22×D411yescharacteristic
764C22×D43C22×D411yescharacteristic
765C22×D43C22×D411yescharacteristic
766Q8×C43—21no—
767Q8×C43—21no—
768Q8×C43—21no—
769Q8×C43—21no—
770Q8×C43—21no—
771Q8×C43—42no—
772Q8×C43—42no—
773Q8×C43H(5,𝔽2)12yes—
774D4×C43—22no—
775D4×C43—21no—
776D4×C43—21no—
777D4×C43—21no—
778D4×C43—21no—
779D4×C43—21no—
780D4×C43—21no—
781D4×C43—42no—
782D4×C43—81no—
783D4×C43—81no—
784D4×C43—81no—
785D4×C43—81no—
786D4×C43—81no—
787C2×C4×C43—21no—
788C2×C4×C43—21no—
789C2×C4×C43—21no—
790C2×C4×C43—21no—
791C2×C4×C43—21no—
792C2×C4×C43—21no—
793C2×C4×C43—21no—
794C2×C4×C43—21no—
795C2×C4×C43—21no—
796C2×C4×C43—42no—
797C2×C4×C43—42no—
798C2×C4×C43—81no—
799C2×C4×C43C22×D411yescharacteristic
800C2×C4×C43C22×D411yescharacteristic
801C2×C4×C43C22×D411yescharacteristic
802C2×C4×C43C22×D411yescharacteristic
803C2×C4×C43C2511yescharacteristic
804C22⋊D43—22no—
805C22⋊D43—22no—
806C22⋊D43—41no—
807C22⋊D43—41no—
808C22⋊D43—42no—
809C22⋊D43—42no—
810C22⋊D43—42no—
811C22⋊D43—42no—
812C22⋊D43—42no—
813C22⋊D43—81no—
814C22⋊D43—81no—
815C22⋊D43—81no—
816C22⋊D43—81no—
817C22⋊D43—81no—
818C22⋊D43—81no—
819C22⋊D43—81no—
820C22⋊D43—81no—
821C22⋊D43—81no—
822C22⋊D43—81no—
823C2×Dic43—21no—
824C2×Dic43—21no—
825C2×Dic43—21no—
826C2×Dic43—21no—
827C2×Dic43—21no—
828C2×Dic43—21no—
829C2×Dic43—41no—
830C2×Dic43—42no—
831C2×Dic43—81no—
832C2×Dic43—81no—
833C2×Dic43—81no—
834C2×Dic43C22×D411yescharacteristic
835C2×Dic43C22×D411yescharacteristic
836C2×Dic43C22×D411yescharacteristic
837C2×Dic43C22×D411yescharacteristic
838C2×Dic43C22×D411yescharacteristic
839D172—22no—
840D172—21no—
841D172—21no—
842D172—21no—
843D172—21no—
844D172—41no—
845D172—42no—
846D172—42no—
847D172—42no—
848D172—81no—
849C4×D43—24no—
850C4×D43—21no—
851C4×D43—21no—
852C4×D43—21no—
853C4×D43—21no—
854C4×D43—21no—
855C4×D43—21no—
856C4×D43—41no—
857C4×D43—41no—
858C4×D43—42no—
859C4×D43—42no—
860C4×D43—42no—
861C4×D43—42no—
862C4×D43—42no—
863C4×D43—42no—
864C4×D43—42no—
865C4×D43—81no—
866C4×D43—81no—
867Dic86—24no—
868Dic86—21no—
869Dic86—21no—
870Dic86—21no—
871Dic86—41no—
872Dic86—42no—
873Dic86—42no—
874Dic86—42no—
875Dic86—42no—
876Dic86—42no—
877Dic86H(5,𝔽2)12yes—
878C8×C43—21no—
879C8×C43—21no—
880C8×C43—21no—
881C8×C43—21no—
882C43⋊C8—21no—
883C43⋊C8—21no—
884C43⋊C8—21no—
885C43⋊C8—21no—
886#61633—431nomaximal, Sylow
887C22×C43—21no—
888C22×C43—21no—
889C22×C43—21no—
890C22×C43—21no—
891C22×C43—21no—
892C22×C43—41no—
893C22×C43—41no—
894C22×C43—41no—
895C22×C43—41no—
896C22×C43—41no—
897C22×C43—41no—
898C22×C43—41no—
899C22×C43—41no—
900C22×C43—41no—
901C22×C43—162no—
902C22×C43—162no—
903C22×C43#57712yes—
904C22×C43C23×D411yescharacteristic
905C2×D43—21no—
906C2×D43—21no—
907C2×D43—21no—
908C2×D43—21no—
909C2×D43—21no—
910C2×D43—21no—
911C2×D43—21no—
912C2×D43—21no—
913C2×D43—44no—
914C2×D43—41no—
915C2×D43—41no—
916C2×D43—41no—
917C2×D43—41no—
918C2×D43—41no—
919C2×D43—41no—
920C2×D43—162no—
921C2×D43—162no—
922C2×D43#57712yes—
923C4×C43—22no—
924C4×C43—21no—
925C4×C43—21no—
926C4×C43—21no—
927C4×C43—21no—
928C4×C43—41no—
929C4×C43—41no—
930C4×C43—41no—
931C4×C43—41no—
932C4×C43C2×H(5,𝔽2)11yescharacteristic
933C4×C43C2×H(5,𝔽2)11yescharacteristic
934Dic43—21no—
935Dic43—22no—
936Dic43—21no—
937Dic43—21no—
938Dic43—21no—
939Dic43—21no—
940Dic43—41no—
941Dic43—41no—
942Dic43—41no—
943Dic43—41no—
944Dic43—41no—
945#3537—431no—
946#3486—431no—
947#3320—431no—
948#3320—431no—
949#3320—431no—
950#3320—431no—
951#3301—431no—
952#3301—431no—
953#3301—431no—
954#3301—431no—
955D4×SD16—431no—
956D4×SD16—431no—
957D4×SD16—431no—
958D4×SD16D4311yescharacteristic, complemented
959#3265—431no—
960#3265—431no—
961#3265—431no—
962#3265—431no—
963#3221—431no—
964#3221—431no—
965#3200—431no—
966#3200—431no—
967#3188—431no—
968#3188—431no—
969#3126—431no—
970#3126—431no—
971#3010—431no—
972#3010—431no—
973C2×#448—431no—
974C2×#448—431no—
975#2977—431no—
976C2×C43—22no—
977C2×C43—41no—
978C2×C43—81no—
979C2×C43—81no—
980C2×C43—81no—
981C2×C43#348411yescharacteristic
982C2×C43C2×#57711yescharacteristic
983C2×C43C2×#57711yescharacteristic
984D43—22no—
985D43—41no—
986D43—41no—
987D43—81no—
988D43—81no—
989C2×2−1+4—431no—
990C23×Q8—431no—
991C2×AGL(1,ℤ/8)—431no—
992C2×AGL(1,ℤ/8)—431no—
993C22×SD16—431no—
994C22×SD16—431no—
995C22×SD16—431no—
996C22×SD16—431no—
997C22×SD16C2×D4311yescharacteristic, complemented
998C22×SD16C2×D4311yescharacteristic, complemented
999#560—861no—
1000#560—861no—
1001#553—431no—
1002#553—431no—
1003#553—431no—
1004#553—431no—
1005D4×Q8—431no—
1006D4×Q8—431no—
1007D4×Q8—431no—
1008D4×Q8—861no—
1009D4×Q8—861no—
1010D4×Q8C2×D4311yescharacteristic, complemented
1011#548—431no—
1012#548—431no—
1013#548—431no—
1014#548—431no—
1015#548—861no—
1016#548—861no—
1017D42—431no—
1018D42—431no—
1019D42—431no—
1020D42—861no—
1021D42—861no—
1022D42C2×D4311yescharacteristic
1023#540—431no—
1024#540—431no—
1025#538—861no—
1026#538—861no—
1027#536—431no—
1028#536—431no—
1029#536—861no—
1030#536—861no—
1031#535—431no—
1032#535—431no—
1033#534—861no—
1034#534—861no—
1035#525—431no—
1036#525—431no—
1037#525—861no—
1038#525—861no—
1039C2×#121—431no—
1040C2×#121—431no—
1041#519—431no—
1042#496—431no—
1043#496—431no—
1044#492—431no—
1045#492C2×D4311yescharacteristic, complemented
1046#491—431no—
1047#491—431no—
1048#488—431no—
1049#488—431no—
1050#485—431no—
1051#485—431no—
1052#485—431no—
1053#485—431no—
1054#484—431no—
1055#484—431no—
1056#482—431no—
1057#482—431no—
1058#482—431no—
1059#482—431no—
1060#481—431no—
1061#481—431no—
1062#479—431no—
1063#479—431no—
1064#479—431no—
1065#479—431no—
1066#468—431no—
1067#468—431no—
1068#468—431no—
1069#468—431no—
1070#466—431no—
1071#466—431no—
1072#466—431no—
1073#466—431no—
1074#465—431no—
1075#465—431no—
1076#465—431no—
1077#465—431no—
1078#465—431no—
1079#465—431no—
1080#465C2×D4311yescharacteristic, complemented
1081#465C2×D4311yescharacteristic, complemented
1082#463—431no—
1083#463—431no—
1084#463—431no—
1085#463—431no—
1086#461—431no—
1087#461—431no—
1088#461—431no—
1089#461C2×D4311yescharacteristic, complemented
1090#460—431no—
1091#460—431no—
1092#460—431no—
1093#460C2×D4311yescharacteristic, complemented
1094#450—431no—
1095#450—431no—
1096#450—431no—
1097#450—431no—
1098#450C2×D4311yescharacteristic, complemented
1099#450C2×D4311yescharacteristic, complemented
1100#449—431no—
1101#449—431no—
1102#449—431no—
1103#449—431no—
1104#449—431no—
1105#449—431no—
1106#449—431no—
1107#449—431no—
1108#448—431no—
1109#448—431no—
1110#448—431no—
1111#448—431no—
1112#448—431no—
1113#448—431no—
1114#448—431no—
1115#448—431no—
1116#448—431no—
1117#448—431no—
1118#448—431no—
1119#448—431no—
1120#448—431no—
1121#448—431no—
1122#448—431no—
1123#448—431no—
1124#448—431no—
1125#448—431no—
1126#448C2×D4311yescharacteristic, complemented
1127#448C2×D4311yescharacteristic, complemented
1128#447—431no—
1129#447—431no—
1130#440—431no—
1131#440—431no—
1132#440—431no—
1133#440—431no—
1134C4×SD16—431no—
1135C4×SD16—431no—
1136C4×SD16—431no—
1137C4×SD16C2×D4311yescharacteristic, complemented
1138#435—431no—
1139#435—431no—
1140#435—431no—
1141#435—431no—
1142C8×D4—431no—
1143C8×D4—431no—
1144C8×D4—431no—
1145C8×D4C2×D4311yescharacteristic, complemented
1146#433—431no—
1147#433—431no—
1148#419—431no—
1149#419—431no—
1150#416—431no—
1151#416—431no—
1152C2×#103—431no—
1153C2×#103—431no—
1154C2×#103—431no—
1155C2×#103—431no—
1156#408—431no—
1157#408—431no—
1158C2×C22⋊C8—431no—
1159C2×C22⋊C8—431no—
1160C43#6163311yescharacteristic, complemented, Sylow
11612−1+4—1722no—
11622−1+4—1722no—
1163C2×#41—431no—
1164C2×#41—431no—
1165C2×#41—431no—
1166C2×#41—431no—
1167C2×#41—861no—
1168C2×#41—861no—
1169C2×#41—861no—
1170C22×Q8—431no—
1171C22×Q8—431no—
1172C22×Q8—431no—
1173C22×Q8—431no—
1174C22×Q8—431no—
1175C22×Q8—431no—
1176C22×Q8—861no—
1177C22×Q8—861no—
1178C22×Q8—861no—
1179C22×Q8—861no—
1180C22×Q8—1722no—
1181C22×Q8—1722no—
1182C22×Q8C22×D4311yescharacteristic
1183C22×Q8C22×D4311yescharacteristic
1184C22×D4—21no—
1185C22×D4—431no—
1186C22×D4—431no—
1187C22×D4—861no—
1188C22×D4—861no—
1189C22×D4—861no—
1190C22×D4—861no—
1191C22×D4—861no—
1192C22×D4C22×D4311yescharacteristic
1193C22×D4C22×D4311yescharacteristic
1194C23×C4—431no—
1195C23×C4—861no—
1196AGL(1,ℤ/8)—1722no—
1197AGL(1,ℤ/8)—1722no—
1198C2×SD16—42no—
1199C2×SD16—42no—
1200C2×SD16—431no—
1201C2×SD16—431no—
1202C2×SD16—431no—
1203C2×SD16—431no—
1204C2×SD16—431no—
1205C2×SD16—431no—
1206C2×SD16—431no—
1207C2×SD16—431no—
1208C2×SD16—431no—
1209C2×SD16—431no—
1210C2×SD16—431no—
1211C2×SD16—1722no—
1212C2×SD16—1722no—
1213C2×SD16—1722no—
1214C2×SD16—1722no—
1215C2×SD16C22×D4311yescharacteristic
1216C2×SD16C22×D4311yescharacteristic
1217C2×SD16C22×D4311yescharacteristic
1218C2×SD16C22×D4311yescharacteristic
1219C2×SD16C22×D4311yescharacteristic
1220C2×SD16C22×D4311yescharacteristic
1221C2×SD16C22×D4311yescharacteristic
1222C2×SD16C22×D4311yescharacteristic
1223C2×SD16C22×D4311yescharacteristic
1224C2×D8—431no—
1225C2×D8—431no—
1226C2×D8—431no—
1227C2×D8—431no—
1228C2×M16—431no—
1229C2×M16—431no—
1230C22×C8—431no—
1231C22×C8—431no—
1232C22×C8—431no—
1233C22×C8—431no—
1234C22×C8C22×D4311yescharacteristic
1235C22×C8C22×D4311yescharacteristic
1236C4⋊Q8—21no—
1237C4⋊Q8—431no—
1238C4⋊Q8—861no—
1239C4⋊Q8—861no—
1240C4⋊Q8—861no—
1241C4⋊Q8—861no—
1242C4⋊Q8C22×D4311yescharacteristic
1243#127—431no—
1244#127—861no—
1245#127—861no—
1246#127C22×D4311yescharacteristic
1247#126—861no—
1248#126—861no—
1249#126—861no—
1250#126—861no—
1251#125—431no—
1252#125—431no—
1253#124—431no—
1254#124—431no—
1255#124—861no—
1256#124—861no—
1257#124—861no—
1258#124—861no—
1259#124—861no—
1260#124—861no—
1261#124—861no—
1262#123—431no—
1263#123—431no—
1264#123—861no—
1265#123—861no—
1266#123—861no—
1267#123—861no—
1268#123—861no—
1269#123—861no—
1270#123—861no—
1271#123—861no—
1272#123—861no—
1273#123—861no—
1274#123—861no—
1275#123—861no—
1276#123—861no—
1277C22⋊Q8—21no—
1278C22⋊Q8—21no—
1279C22⋊Q8—431no—
1280C22⋊Q8—431no—
1281C22⋊Q8—431no—
1282C22⋊Q8—431no—
1283C22⋊Q8—431no—
1284C22⋊Q8—431no—
1285C22⋊Q8—861no—
1286C22⋊Q8—861no—
1287C22⋊Q8—861no—
1288C22⋊Q8—861no—
1289C22⋊Q8—861no—
1290C22⋊Q8—861no—
1291C22⋊Q8—861no—
1292C22⋊Q8—861no—
1293C22⋊Q8—861no—
1294C22⋊Q8—861no—
1295C22⋊Q8—861no—
1296C22⋊Q8—861no—
1297C22⋊Q8C22×D4311yescharacteristic
1298C22⋊Q8C22×D4311yescharacteristic
1299#121—21no—
1300#121—431no—
1301#121—431no—
1302#121—431no—
1303#121—431no—
1304#121—431no—
1305#121—431no—
1306#121—431no—
1307#121—431no—
1308#121—431no—
1309#121—431no—
1310#121—431no—
1311#121—431no—
1312#121—431no—
1313#121—431no—
1314#121—861no—
1315#121—861no—
1316#121—861no—
1317#121—861no—
1318#121—861no—
1319#121—861no—
1320#121—861no—
1321#121—861no—
1322#121—861no—
1323#121—861no—
1324#121—861no—
1325#121—861no—
1326#121—861no—
1327#121—861no—
1328#121—861no—
1329#121—861no—
1330#121—861no—
1331#121—861no—
1332#121—861no—
1333#121C22×D4311yescharacteristic
1334#121C22×D4311yescharacteristic
1335#120—21no—
1336#120—21no—
1337#120—431no—
1338#120—431no—
1339#120—861no—
1340#120—861no—
1341#120—861no—
1342#120—861no—
1343#120—861no—
1344#120—861no—
1345#120—861no—
1346#120—861no—
1347#120—861no—
1348#120—861no—
1349#120—861no—
1350C4×Q8—431no—
1351C4×Q8—431no—
1352C4×Q8—431no—
1353C4×Q8—861no—
1354C4×Q8—861no—
1355C4×Q8C22×D4311yescharacteristic
1356C4×D4—21no—
1357C4×D4—431no—
1358C4×D4—431no—
1359C4×D4—431no—
1360C4×D4—431no—
1361C4×D4—431no—
1362C4×D4—431no—
1363C4×D4—861no—
1364C4×D4—861no—
1365C4×D4—861no—
1366C4×D4—861no—
1367C4×D4—861no—
1368C4×D4—861no—
1369C4×D4—861no—
1370C4×D4—861no—
1371C4×D4—861no—
1372C4×D4—861no—
1373C4×D4—861no—
1374C4×D4—861no—
1375C4×D4—861no—
1376C4×D4C22×D4311yescharacteristic
1377C4×D4C22×D4311yescharacteristic
1378#117—431no—
1379#117—431no—
1380#117—431no—
1381#117—431no—
1382#117—861no—
1383#117—861no—
1384C2×C4⋊C4—431no—
1385C2×C4⋊C4—431no—
1386C2×C22⋊C4—861no—
1387C2×C22⋊C4—861no—
1388#107—431no—
1389#107—431no—
1390#107—431no—
1391#107—431no—
1392#106—431no—
1393#106—431no—
1394#106—431no—
1395#106C22×D4311yescharacteristic
1396C4⋊C8—431no—
1397C4⋊C8—431no—
1398C4⋊C8—431no—
1399C4⋊C8C22×D4311yescharacteristic
1400#103—431no—
1401#103—431no—
1402#103—431no—
1403#103—431no—
1404#103—431no—
1405#103—431no—
1406#103—431no—
1407#103—431no—
1408#103—431no—
1409#103—431no—
1410#103—431no—
1411#103—431no—
1412#103—431no—
1413#103—431no—
1414#103—431no—
1415#103—431no—
1416#103—431no—
1417#103C22×D4311yescharacteristic
1418#103C22×D4311yescharacteristic
1419#103C22×D4311yescharacteristic
1420#102—431no—
1421#102—431no—
1422#102—431no—
1423#102—431no—
1424#102—431no—
1425#102—431no—
1426#102—431no—
1427#102—431no—
1428#102—431no—
1429#102C22×D4311yescharacteristic
1430#102C22×D4311yescharacteristic
1431#102C22×D4311yescharacteristic
1432C22⋊C8—431no—
1433C22⋊C8—431no—
1434C22⋊C8—431no—
1435C22⋊C8—431no—
1436C22⋊C8—431no—
1437C22⋊C8—431no—
1438C22⋊C8—431no—
1439C22⋊C8—431no—
1440C22⋊C8—431no—
1441C22⋊C8—431no—
1442C22⋊C8C22×D4311yescharacteristic
1443C22⋊C8C22×D4311yescharacteristic
1444#97—431no—
1445#97—431no—
1446C4×C8—431no—
1447C4×C8C22×D4311yescharacteristic
1448C24—21no—
1449C24—21no—
1450C24—431no—
1451C24—861no—
1452C24—861no—
1453#41—862no—
1454#41—862no—
1455#41—1721no—
1456#41—1721no—
1457#41—1721no—
1458#41—1724no—
1459#41—1724no—
1460#41—1721no—
1461#41—1721no—
1462#41—1721no—
1463#41—1724no—
1464C2×Q8—21no—
1465C2×Q8—21no—
1466C2×Q8—22no—
1467C2×Q8—22no—
1468C2×Q8—41no—
1469C2×Q8—41no—
1470C2×Q8—431no—
1471C2×Q8—431no—
1472C2×Q8—431no—
1473C2×Q8—861no—
1474C2×Q8—861no—
1475C2×Q8—861no—
1476C2×Q8—861no—
1477C2×Q8—861no—
1478C2×Q8—862no—
1479C2×Q8—862no—
1480C2×Q8—862no—
1481C2×Q8—861no—
1482C2×Q8—862no—
1483C2×Q8—862no—
1484C2×Q8—862no—
1485C2×Q8—1721no—
1486C2×Q8—1724no—
1487C2×Q8—1721no—
1488C2×Q8—1721no—
1489C2×Q8—1721no—
1490C2×Q8—1721no—
1491C2×Q8—1721no—
1492C2×Q8—1724no—
1493C2×Q8—1724no—
1494C2×Q8—1724no—
1495C2×Q8C23×D4311yescharacteristic
1496C2×Q8C23×D4311yescharacteristic
1497C2×Q8C23×D4311yescharacteristic
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—41no—
1505C2×D4—41no—
1506C2×D4—41no—
1507C2×D4—41no—
1508C2×D4—82no—
1509C2×D4—431no—
1510C2×D4—431no—
1511C2×D4—431no—
1512C2×D4—431no—
1513C2×D4—431no—
1514C2×D4—431no—
1515C2×D4—431no—
1516C2×D4—431no—
1517C2×D4—861no—
1518C2×D4—861no—
1519C2×D4—861no—
1520C2×D4—861no—
1521C2×D4—861no—
1522C2×D4—861no—
1523C2×D4—861no—
1524C2×D4—861no—
1525C2×D4—861no—
1526C2×D4—861no—
1527C2×D4—861no—
1528C2×D4—861no—
1529C2×D4—861no—
1530C2×D4—861no—
1531C2×D4—861no—
1532C2×D4—861no—
1533C2×D4—861no—
1534C2×D4—861no—
1535C2×D4—861no—
1536C2×D4—3442no—
1537C2×D4—3442no—
1538C2×D4—3442no—
1539C2×D4—3442no—
1540C2×D4—3442no—
1541C2×D4—1721no—
1542C2×D4—1721no—
1543C2×D4—1721no—
1544C2×D4—1721no—
1545C2×D4D4×D4311yescharacteristic
1546C2×D4C23×D4311yescharacteristic
1547C2×D4C23×D4311yescharacteristic
1548C2×D4C23×D4311yescharacteristic
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—21no—
1552C22×C4—431no—
1553C22×C4—431no—
1554C22×C4—431no—
1555C22×C4—431no—
1556C22×C4—431no—
1557C22×C4—431no—
1558C22×C4—861no—
1559C22×C4—861no—
1560C22×C4—861no—
1561C22×C4—861no—
1562C22×C4—861no—
1563C22×C4—861no—
1564C22×C4—861no—
1565C22×C4—861no—
1566C22×C4—861no—
1567C22×C4—861no—
1568C22×C4—861no—
1569C22×C4—861no—
1570C22×C4—861no—
1571C22×C4—861no—
1572C22×C4—1721no—
1573C22×C4—1721no—
1574C22×C4—1724no—
1575C22×C4C23×D4311yescharacteristic
1576C22×C4C23×D4311yescharacteristic
1577SD16—22no—
1578SD16—22no—
1579SD16—22no—
1580SD16—41no—
1581SD16—41no—
1582SD16—41no—
1583SD16—41no—
1584SD16—41no—
1585SD16—41no—
1586SD16—862no—
1587SD16—862no—
1588SD16—862no—
1589SD16—862no—
1590SD16—862no—
1591SD16—1721no—
1592SD16—1721no—
1593SD16—1721no—
1594SD16—1721no—
1595SD16—1721no—
1596SD16—1721no—
1597D8—1721no—
1598D8—1721no—
1599D8—1721no—
1600D8—1721no—
1601M16—1721no—
1602M16—1721no—
1603C2×C8—41no—
1604C2×C8—41no—
1605C2×C8—431no—
1606C2×C8—431no—
1607C2×C8—431no—
1608C2×C8—431no—
1609C2×C8—1721no—
1610C2×C8—1721no—
1611C2×C8—1721no—
1612C2×C8—1721no—
1613C2×C8C23×D4311yescharacteristic
1614C2×C8C23×D4311yescharacteristic
1615C2×C8C23×D4311yescharacteristic
1616C2×C8C23×D4311yescharacteristic
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—21no—
1620C4⋊C4—21no—
1621C4⋊C4—21no—
1622C4⋊C4—431no—
1623C4⋊C4—431no—
1624C4⋊C4—431no—
1625C4⋊C4—431no—
1626C4⋊C4—431no—
1627C4⋊C4—431no—
1628C4⋊C4—431no—
1629C4⋊C4—431no—
1630C4⋊C4—431no—
1631C4⋊C4—861no—
1632C4⋊C4—861no—
1633C4⋊C4—861no—
1634C4⋊C4—861no—
1635C4⋊C4—861no—
1636C4⋊C4—861no—
1637C4⋊C4—861no—
1638C4⋊C4—861no—
1639C4⋊C4—861no—
1640C4⋊C4—861no—
1641C4⋊C4—861no—
1642C4⋊C4—861no—
1643C4⋊C4—861no—
1644C4⋊C4—861no—
1645C4⋊C4—861no—
1646C4⋊C4D4×D4311yescharacteristic
1647C4⋊C4C23×D4311yescharacteristic
1648C4⋊C4C23×D4311yescharacteristic
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—431no—
1655C22⋊C4—431no—
1656C22⋊C4—431no—
1657C22⋊C4—431no—
1658C22⋊C4—431no—
1659C22⋊C4—431no—
1660C22⋊C4—431no—
1661C22⋊C4—431no—
1662C22⋊C4—861no—
1663C22⋊C4—861no—
1664C22⋊C4—861no—
1665C22⋊C4—861no—
1666C22⋊C4—861no—
1667C22⋊C4—861no—
1668C22⋊C4—861no—
1669C22⋊C4—861no—
1670C22⋊C4—861no—
1671C22⋊C4—861no—
1672C22⋊C4—861no—
1673C22⋊C4—861no—
1674C22⋊C4—861no—
1675C22⋊C4—861no—
1676C22⋊C4—861no—
1677C22⋊C4—861no—
1678C22⋊C4—861no—
1679C22⋊C4—861no—
1680C22⋊C4—861no—
1681C22⋊C4—861no—
1682C22⋊C4—861no—
1683C22⋊C4—861no—
1684C22⋊C4—861no—
1685C22⋊C4—861no—
1686C22⋊C4—861no—
1687C22⋊C4—861no—
1688C22⋊C4D4×D4311yescharacteristic
1689C22⋊C4D4×D4311yescharacteristic
1690C42—21no—
1691C42—431no—
1692C42—861no—
1693C42—861no—
1694C42—861no—
1695C42—861no—
1696C42—861no—
1697C42—861no—
1698C42C23×D4311yescharacteristic
1699C23—21no—
1700C23—21no—
1701C23—21no—
1702C23—42no—
1703C23—81no—
1704C23—81no—
1705C23—81no—
1706C23—81no—
1707C23—81no—
1708C23—431no—
1709C23—431no—
1710C23—431no—
1711C23—862no—
1712C23—862no—
1713C23—861no—
1714C23—861no—
1715C23—3441no—
1716C23—3441no—
1717C23—3441no—
1718C23—3441no—
1719C23—3441no—
1720C23—1721no—
1721C23—1722no—
1722C23C2×D4×D4311yescharacteristic
1723C23C2×D4×D4311yescharacteristic
1724Q8—21no—
1725Q8—21no—
1726Q8—21no—
1727Q8—21no—
1728Q8—21no—
1729Q8—42no—
1730Q8—42no—
1731Q8—432no—
1732Q8—864no—
1733Q8—861no—
1734Q8—861no—
1735Q8—861no—
1736Q8—1721no—
1737Q8—1722no—
1738Q8—1722no—
1739Q8—1722no—
1740Q8—1722no—
1741Q8—1722no—
1742Q8#1306337012yes—
1743D4—22no—
1744D4—21no—
1745D4—21no—
1746D4—21no—
1747D4—21no—
1748D4—21no—
1749D4—21no—
1750D4—42no—
1751D4—81no—
1752D4—81no—
1753D4—81no—
1754D4—81no—
1755D4—81no—
1756D4—862no—
1757D4—862no—
1758D4—862no—
1759D4—861no—
1760D4—861no—
1761D4—861no—
1762D4—861no—
1763D4—3441no—
1764D4—3441no—
1765D4—3441no—
1766D4—3441no—
1767D4—3441no—
1768D4—3441no—
1769D4—3441no—
1770D4—3441no—
1771D4—3441no—
1772D4—3441no—
1773D4—3441no—
1774D4—1721no—
1775D4—1722no—
1776D4—1722no—
1777D4—1722no—
1778D4—1721no—
1779D4—1721no—
1780D4—1722no—
1781D4—1722no—
1782D4—1722no—
1783D4—1722no—
1784D4—1722no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—42no—
1795C2×C4—42no—
1796C2×C4—81no—
1797C2×C4—431no—
1798C2×C4—431no—
1799C2×C4—431no—
1800C2×C4—431no—
1801C2×C4—431no—
1802C2×C4—864no—
1803C2×C4—861no—
1804C2×C4—861no—
1805C2×C4—861no—
1806C2×C4—861no—
1807C2×C4—861no—
1808C2×C4—861no—
1809C2×C4—861no—
1810C2×C4—861no—
1811C2×C4—861no—
1812C2×C4—861no—
1813C2×C4—861no—
1814C2×C4—861no—
1815C2×C4—3441no—
1816C2×C4—3441no—
1817C2×C4—3441no—
1818C2×C4—3441no—
1819C2×C4—3441no—
1820C2×C4—1721no—
1821C2×C4—1721no—
1822C2×C4—1722no—
1823C2×C4—1722no—
1824C2×C4—1722no—
1825C2×C4—1722no—
1826C2×C4—1722no—
1827C2×C4—1722no—
1828C2×C4—1722no—
1829C2×C4—1721no—
1830C2×C4—1722no—
1831C2×C4C2×D4×D4311yescharacteristic
1832C2×C4C2×D4×D4311yescharacteristic
1833C2×C4C2×D4×D4311yescharacteristic
1834C2×C4C2×D4×D4311yescharacteristic
1835C2×C4C24×D4311yescharacteristic
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—21no—
1840C8—861no—
1841C8—861no—
1842C8—861no—
1843C8—861no—
1844C22—21no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—162no—
1859C22—162no—
1860C22—432no—
1861C22—861no—
1862C22—861no—
1863C22—861no—
1864C22—861no—
1865C22—861no—
1866C22—861no—
1867C22—861no—
1868C22—861no—
1869C22—1724no—
1870C22—1721no—
1871C22—1721no—
1872C22—1721no—
1873C22—1721no—
1874C22—1721no—
1875C22—1721no—
1876C22—6882no—
1877C22—6882no—
1878C22#1458370512yes—
1879C22C22×D4×D4311yescharacteristic
1880C4—21no—
1881C4—21no—
1882C4—21no—
1883C4—21no—
1884C4—22no—
1885C4—41no—
1886C4—41no—
1887C4—41no—
1888C4—41no—
1889C4—861no—
1890C4—861no—
1891C4—861no—
1892C4—861no—
1893C4—861no—
1894C4—862no—
1895C4—1721no—
1896C4—1721no—
1897C4—1721no—
1898C4—1721no—
1899C4—1721no—
1900C4H(5,𝔽2)×D4311yescharacteristic
1901C4C2×#1306337011yescharacteristic
1902C2—22no—
1903C2—41no—
1904C2—81no—
1905C2—81no—
1906C2—81no—
1907C2—862no—
1908C2—3441no—
1909C2—3441no—
1910C2—1721no—
1911C2—1721no—
1912C2#1914822311yescharacteristic
1913C2#577×D4311yescharacteristic
1914C2C2×#1458370511yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingD4×SD16×C43C2
socleC22×C43C23×D4
hypercenterD4×SD16D43
hypocenterC43#61633
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ D4×SD16

Complements

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

NH ≅ G/Ntype
1. #19148826C2semidirect
2. #19148245C2semidirect
3. #19146773C2semidirect
4. #19146772C2semidirect
5. #19146766C2semidirect
6. #19146759C2semidirect
7. #19146502C2semidirect
8. #19146501C2semidirect
9. #19146499C2semidirect
10. #19146492C2semidirect
11. #19146290C2semidirect
12. #19146289C2semidirect
13. SD16×C22⋊D43C2semidirect
14. #19146090C2semidirect
15. #19146088C2semidirect
16. #19146086C2semidirect
17. #19146085C2semidirect
18. #19145655C2semidirect
19. #19145649C2semidirect
20. #19145464C2semidirect
21. #19145461C2semidirect
22. #19145363C2semidirect
23. #19145361C2semidirect
24. #19144884C2semidirect
25. #19144883C2semidirect
26. #19143877C2semidirect
27. #19143876C2semidirect
28. C2×#14583036C2semidirect
29. #448×D43C2semidirect
30. #19143648C2semidirect
31. D4×SD16×C43C2semidirect
32. C2×#13063373C22semidirect
33. C22×Q8×D43C22semidirect
34. C2×#13063352C22semidirect
35. C2×#13063351C22semidirect
36. C22×#10621883C22semidirect
37. C2×SD16×D43C22semidirect
38. C2×SD16×D43C22semidirect
39. C2×SD16×D43C22semidirect
47. #14583564C22semidirect
48. Q8×C22⋊D43C22semidirect
50. #14583562C22semidirect
51. #14583561C22semidirect
52. #14583560C22semidirect
54. #14583559C22semidirect
56. #14583558C22semidirect
67. #14583474C22semidirect
69. #14583472C22semidirect
75. #14583412C22semidirect
80. #14583375C22semidirect
81. #14583286C22semidirect
82. #14583285C22semidirect
83. #14583270C22semidirect
84. #14583267C22semidirect
85. #14583266C22semidirect
86. #14583255C22semidirect
87. #14583254C22semidirect
88. #14583243C22semidirect
89. #14583241C22semidirect
90. #14583238C22semidirect
91. #14583237C22semidirect
92. #14583233C22semidirect
93. #14583232C22semidirect
94. #14583225C22semidirect
95. #14583222C22semidirect
96. #14583222C22semidirect
97. #14583221C22semidirect
98. #14583219C22semidirect
99. #14583218C22semidirect
100. #14583209C22semidirect
101. #14583207C22semidirect
102. #14583206C22semidirect
103. #14583204C22semidirect
104. #14583147C22semidirect
105. #14583144C22semidirect
106. #14583143C22semidirect
107. #14583142C22semidirect
108. #14583135C22semidirect
109. #14583134C22semidirect
110. #14583134C22semidirect
111. #14583133C22semidirect
112. #14583130C22semidirect
113. #14583128C22semidirect
114. #14583127C22semidirect
115. #14583125C22semidirect
116. #14583125C22semidirect
117. #14583125C22semidirect
118. #14583116C22semidirect
119. #14583116C22semidirect
120. #14583115C22semidirect
121. #14583114C22semidirect
122. #14583102C22semidirect
123. #14583102C22semidirect
124. #14583101C22semidirect
125. #14583098C22semidirect
126. #14583097C22semidirect
127. #14583096C22semidirect
128. #14583051C22semidirect
129. #14583050C22semidirect
130. #14583048C22semidirect
131. #14583048C22semidirect
132. #14583047C22semidirect
133. #14583046C22semidirect
134. #14583043C22semidirect
135. #14583043C22semidirect
136. #14583043C22semidirect
137. #14583043C22semidirect
138. #14583043C22semidirect
139. #14583042C22semidirect
140. #14583040C22semidirect
141. #14583039C22semidirect
142. #14583039C22semidirect
143. #14583038C22semidirect
144. #14583038C22semidirect
145. #14583037C22semidirect
146. #14583036C22semidirect
147. #14583036C22semidirect
148. #14583036C22semidirect
149. #14583036C22semidirect
150. #14583036C22semidirect
151. #14583036C22semidirect
152. #14583036C22semidirect
153. #14583036C22semidirect
154. #14583036C22semidirect
155. #14583036C22semidirect
156. #14583036C22semidirect
157. #14583036C22semidirect
158. #14583034C22semidirect
159. #14583033C22semidirect
160. #14583000C22semidirect
161. #14582999C22semidirect
162. #14582997C22semidirect
163. #14582996C22semidirect
164. #14582990C22semidirect
165. C4×#10621873C22semidirect
166. SD16×Dic43C22semidirect
167. #14582973C22semidirect
168. #14582971C22semidirect
169. #14582970C22semidirect
170. #14582969C22semidirect
171. C8×D172C22semidirect
172. C8×C22⋊D43C22semidirect
173. (C22⋊D43)⋊C8C22semidirect
174. #14582959C22semidirect
175. #14582958C22semidirect
176. #14582908C22semidirect
177. #14582906C22semidirect
178. #14582896C22semidirect
179. #14582894C22semidirect
180. C2×#13063250C22semidirect
181. C2×#13063249C22semidirect
182. #103×D43C22semidirect
183. #103×D43C22semidirect
184. #14582865C22semidirect
185. #14582864C22semidirect
186. C2×(C2×D43)⋊C8C22semidirect
187. C22⋊C8×D43C22semidirect
188. C22×SD16×C43C22semidirect
189. C22×SD16×C43C22semidirect
190. D4×Q8×C43C22semidirect
192. C43×#492C22semidirect
193. C43×#465C22semidirect
194. C43×#465C22semidirect
195. C43×#461C22semidirect
196. C43×#460C22semidirect
197. C43×#450C22semidirect
198. C43×#450C22semidirect
199. C43×#448C22semidirect
200. C43×#448C22semidirect
201. C4×SD16×C43C22semidirect
202. C8×D4×C43C22semidirect
958. D4×SD16D43semidirect
997. C22×SD16C2×D43semidirect
998. C22×SD16C2×D43semidirect
1010. D4×Q8C2×D43semidirect
1045. #492C2×D43semidirect
1080. #465C2×D43semidirect
1081. #465C2×D43semidirect
1089. #461C2×D43semidirect
1093. #460C2×D43semidirect
1098. #450C2×D43semidirect
1099. #450C2×D43semidirect
1126. #448C2×D43semidirect
1127. #448C2×D43semidirect
1137. C4×SD16C2×D43semidirect
1145. C8×D4C2×D43semidirect
1160. C43#61633semidirect

Maximal subgroups

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

subgroupindex
#191488262
#191482452
#191467732
#191467722
#191467662
#191467592
#191465022
#191465012
#191464992
#191464922
#191462902
#191462892
SD16×C22⋊D432
#191460902
#191460882
#191460862
#191460852
#191456552
#191456492
#191454642
#191454612
#191453632
#191453612
#191448842
#191448832
#191438772
#191438762
C2×#145830362
#448×D432
#191436482
D4×SD16×C432
#6163343