Finite Group Databasebeta

← #25968558

Subgroups — #25968558

Order 11008.

2040 conjugacy classes of subgroups.

The subgroup lattice has 1850 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148382C211yesmaximal, characteristic, complemented
2#19148026C211yesmaximal, characteristic, complemented
3#19145708C211yesmaximal, characteristic, complemented
4#19145707C211yesmaximal, characteristic, complemented
5#19145695C211yesmaximal, characteristic, complemented
6#19145692C211yesmaximal, characteristic, complemented
7#19145676C211yesmaximal, characteristic, complemented
8#19145671C211yesmaximal, characteristic, complemented
9#19145665C211yesmaximal, characteristic, complemented
10#19145660C211yesmaximal, characteristic, complemented
11#19145637C211yesmaximal, characteristic, complemented
12#19145632C211yesmaximal, characteristic, complemented
13#19145596C211yesmaximal, characteristic, complemented
14#19145594C211yesmaximal, characteristic, complemented
15#19145564C211yesmaximal, characteristic, complemented
16#19145562C211yesmaximal, characteristic, complemented
17#19145550C211yesmaximal, characteristic, complemented
18#19145083C211yesmaximal, characteristic, complemented
19#19145064C211yesmaximal, characteristic, complemented
20#19144955C211yesmaximal, characteristic, complemented
21#19144944C211yesmaximal, characteristic, complemented
22#19144086C211yesmaximal, characteristic, complemented
23#19144065C211yesmaximal, characteristic, complemented
24#19144049C211yesmaximal, characteristic, complemented
25#464×D43C211yesmaximal, characteristic, complemented
26#19143914C211yesmaximal, characteristic, complemented
27#19143903C211yesmaximal, characteristic, complemented
28#19143887C211yesmaximal, characteristic, complemented
29#19143869C211yesmaximal, characteristic, complemented
30#19143256C211yesmaximal, characteristic, complemented
31C43×#3210C211yesmaximal, characteristic, complemented
32C2×#13063372C2211yescharacteristic
33C2×#13063371C2211yescharacteristic
34C2×#13063357C2211yescharacteristic
35C2×#13063357C2211yescharacteristic, complemented
36C2×#13063354C2211yescharacteristic, complemented
37C2×#13063352C2211yescharacteristic
38C2×#13063348C2211yescharacteristic
39C2×#13063346C2211yescharacteristic, complemented
40C2×Q16×D43C2211yescharacteristic, complemented
41C2×SD16×D43C2211yescharacteristic
42#14583558—21no—
43#14583558—21no—
44#14583545—21no—
45#14583545—21no—
46#14583538—21no—
47#14583538—21no—
48#14583538—21no—
49#14583538—21no—
50#14583526C2211yescharacteristic, complemented
51#14583523C2211yescharacteristic, complemented
52#14583522C2211yescharacteristic, complemented
53#14583519—21no—
54#14583510C2211yescharacteristic, complemented
55#14583509C2211yescharacteristic, complemented
56#14583508—21no—
57#14583497—21no—
58#14583495—21no—
59#14583479C2211yescharacteristic
60#14583474C2211yescharacteristic
61#14583474C2211yescharacteristic
62#14583474C2211yescharacteristic, complemented
63#14583472C2211yescharacteristic
64#14583470C2211yescharacteristic
65#14583463C2211yescharacteristic
66#14583462C2211yescharacteristic
67#14583462C2211yescharacteristic
68#14583453—21no—
69#14583453C2211yescharacteristic, complemented
70#14583448C2211yescharacteristic
71#14583448C2211yescharacteristic
72#14583436—21no—
73#14583436C2211yescharacteristic, complemented
74#14583433C2211yescharacteristic, complemented
75#14583427—21no—
76#14583427—21no—
77C2×#13063313C2211yescharacteristic
78#124×D43C2211yescharacteristic
79#124×D43C2211yescharacteristic
80C4×#10621902C2211yescharacteristic, complemented
81C4×#10621898C2211yescharacteristic
82C4×Q8×D43C2211yescharacteristic, complemented
83#14583292C2211yescharacteristic, complemented
84#14583292C2211yescharacteristic, complemented
85#14583291C2211yescharacteristic, complemented
86#14583291C2211yescharacteristic, complemented
87#14583291C2211yescharacteristic, complemented
88#14583290C2211yescharacteristic, complemented
89#14583286C2211yescharacteristic, complemented
90#14583285C2211yescharacteristic, complemented
91#14583284C2211yescharacteristic, complemented
92#14583283C2211yescharacteristic, complemented
93#14583283C2211yescharacteristic, complemented
94#14583280C2211yescharacteristic, complemented
95#14583277C2211yescharacteristic, complemented
96#14583270C2211yescharacteristic, complemented
97#14583267C2211yescharacteristic, complemented
98#14583266C2211yescharacteristic, complemented
99#14583263C2211yescharacteristic, complemented
100#14583262C2211yescharacteristic, complemented
101#14583261C2211yescharacteristic, complemented
102#14583261C2211yescharacteristic, complemented
103#14583260C2211yescharacteristic, complemented
104#14583257C2211yescharacteristic, complemented
105#14583255C2211yescharacteristic, complemented
106#14583254C2211yescharacteristic, complemented
107#14583254C2211yescharacteristic, complemented
108#14583252C2211yescharacteristic, complemented
109#14583248C2211yescharacteristic, complemented
110#14583244C2211yescharacteristic, complemented
111#14583124C2211yescharacteristic, complemented
112#14583123C2211yescharacteristic, complemented
113#14583123C2211yescharacteristic, complemented
114#14583122C2211yescharacteristic, complemented
115#14583122C2211yescharacteristic, complemented
116#14583121C2211yescharacteristic, complemented
117#14583121C2211yescharacteristic, complemented
118#14583121C2211yescharacteristic, complemented
119#14583121C2211yescharacteristic, complemented
120#14583120C2211yescharacteristic, complemented
121#14583119C2211yescharacteristic, complemented
122#14583119C2211yescharacteristic, complemented
123#14583118C2211yescharacteristic, complemented
124#14583118C2211yescharacteristic, complemented
125#14583117C2211yescharacteristic, complemented
126#14583115C2211yescharacteristic, complemented
127#14583115C2211yescharacteristic, complemented
128#14583113C2211yescharacteristic, complemented
129#14583111C2211yescharacteristic, complemented
130#14583111C2211yescharacteristic, complemented
131#14583108C2211yescharacteristic, complemented
132#14583107C2211yescharacteristic, complemented
133#14583107C2211yescharacteristic, complemented
134#14583103C2211yescharacteristic, complemented
135#14583098C2211yescharacteristic, complemented
136#14583097C2211yescharacteristic, complemented
137#14583097C2211yescharacteristic, complemented
138#14583093C2211yescharacteristic, complemented
139#14583064C2211yescharacteristic
140#14583062C2211yescharacteristic, complemented
141#14583061C2211yescharacteristic
142#14583061C2211yescharacteristic, complemented
143#14583060C2211yescharacteristic
144#14583060C2211yescharacteristic
145#14583058C2211yescharacteristic, complemented
146#14583058C2211yescharacteristic, complemented
147#14583057C2211yescharacteristic, complemented
148#14583056C2211yescharacteristic, complemented
149#14583054C2211yescharacteristic, complemented
150#14583054C2211yescharacteristic, complemented
151#14583053C2211yescharacteristic, complemented
152#14583053C2211yescharacteristic, complemented
153#14583052C2211yescharacteristic
154#14583051C2211yescharacteristic
155#14583049C2211yescharacteristic
156#14583049C2211yescharacteristic
157#14583048C2211yescharacteristic
158#14583048C2211yescharacteristic
159#14583047C2211yescharacteristic
160#14583045C2211yescharacteristic, complemented
161#14583044C2211yescharacteristic
162#14583044C2211yescharacteristic, complemented
163#14583040C2211yescharacteristic, complemented
164#14583039C2211yescharacteristic, complemented
165#14583035C2211yescharacteristic
166#14583034C2211yescharacteristic
167#14582958C2211yescharacteristic, complemented
168#14582958C2211yescharacteristic, complemented
169#14582957C2211yescharacteristic, complemented
170#14582957C2211yescharacteristic, complemented
171#14582956C2211yescharacteristic, complemented
172#14582955C2211yescharacteristic, complemented
173#14582951C2211yescharacteristic, complemented
174#14582921C2211yescharacteristic, complemented
175C4⋊C8×D43C2211yescharacteristic, complemented
176#14582906C2211yescharacteristic, complemented
177#14582902C2211yescharacteristic
178#14582899C2211yescharacteristic
179#14582897C2211yescharacteristic, complemented
180#14582894C2211yescharacteristic
181#14582892C2211yescharacteristic, complemented
182#103×D43C2211yescharacteristic, complemented
183#102×D43C2211yescharacteristic
184#14582864C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582853C2211yescharacteristic, complemented
187#14582853C2211yescharacteristic, complemented
188C43×#533C2211yescharacteristic, complemented
189C43×#532C2211yescharacteristic
190C43×#494C2211yescharacteristic, complemented
191C43×#492C2211yescharacteristic, complemented
192C43×#487C2211yescharacteristic, complemented
193C43×#486C2211yescharacteristic, complemented
194C43×#464C2211yescharacteristic, complemented
195C43×#464C2211yescharacteristic, complemented
196C43×#464C2211yescharacteristic, complemented
197C43×#464C2211yescharacteristic, complemented
198C43×#452C2211yescharacteristic
199C43×#452C2211yescharacteristic
200C43×#452C2211yescharacteristic, complemented
201C43×#452C2211yescharacteristic, complemented
202C43×#431C2211yescharacteristic, complemented
203#13063372—42no—
204#13063372—42no—
205#13063371—42no—
206#13063371—42no—
207C2×#10621902C2311yescharacteristic
208C2×#10621902C2311yescharacteristic
209C2×#10621902C2311yescharacteristic
210C2×#10621898—21no—
211C2×#10621898—21no—
212C2×#10621898C2311yescharacteristic
213C2×#10621900—21no—
214C2×#10621900—21no—
215C2×#10621900C2311yescharacteristic
216C2×#10621900C2311yescharacteristic
217C22×Dic86—21no—
218C22×Dic86C2311yescharacteristic
219C2×Q8×D43C2311yescharacteristic
220C2×Q8×D43C2311yescharacteristic
221C2×Q8×D43C2311yescharacteristic
222C22×D172—21no—
223C22×D172C2311yescharacteristic
224C2×D4×D43—21no—
225C2×D4×D43—21no—
226C2×D4×D43C2311yescharacteristic
227C2×D4×D43C2311yescharacteristic
228#13063357—42no—
229#13063357—42no—
230#13063354—42no—
231#13063352—42no—
232#13063348—42no—
233#13063346—42no—
234C2×Dic172C2311yescharacteristic
235C2×Dic172C2311yescharacteristic
236C2×#10621885C2311yescharacteristic
237C2×#10621885C2311yescharacteristic
238C2×#10621885C2311yescharacteristic
239C2×#10621885C2311yescharacteristic
240C2×#10621885C2311yescharacteristic
241C2×#10621885C2311yescharacteristic
242Q16×D43—42no—
243C2×#10621873C2311yescharacteristic
244C2×#10621873C2311yescharacteristic
245C2×#10621873C2311yescharacteristic
246C2×#10621873C2311yescharacteristic
247C2×#10621883C2311yescharacteristic
248C2×#10621883C2311yescharacteristic
249C2×#10621884C2311yescharacteristic
250C2×#10621884C2311yescharacteristic
251C2×#10621884C2311yescharacteristic
252C2×#10621884C2311yescharacteristic
253C2×#10621884C2311yescharacteristic
254C2×#10621884C2311yescharacteristic
255SD16×D43—42no—
256C2×D344C2311yescharacteristic
257C2×D344C2311yescharacteristic
258C2×#10621882C2311yescharacteristic
259C2×#10621882C2311yescharacteristic
260C2×#10621872C2311yescharacteristic
261C2×#10621872C2311yescharacteristic
262C2×C8×D43C2311yescharacteristic
263C2×C8×D43C2311yescharacteristic
264#13063324—21no—
265#13063324C2311yescharacteristic
266#13063323—21no—
267#13063323C2311yescharacteristic
268#13063323C2311yescharacteristic
269#13063323C2311yescharacteristic
270#13063321C2311yescharacteristic
271#13063321C2311yescharacteristic
272#13063320—21no—
273#13063320—21no—
274#13063320—21no—
275#13063320—21no—
276#13063320—21no—
277#13063319—21no—
278#13063318—21no—
279#13063318—21no—
280#13063317C2311yescharacteristic
281#13063316—21no—
282#13063316C2311yescharacteristic
283#13063315—21no—
284#13063315—21no—
285#13063315—21no—
286#13063315—21no—
287#13063315—21no—
288#13063314—21no—
289#13063314C2311yescharacteristic
290#13063314C2311yescharacteristic
291#13063314C2311yescharacteristic
292#13063313—21no—
293#13063313—21no—
294#13063313C2311yescharacteristic
295#13063313C2311yescharacteristic
296#13063313C2311yescharacteristic
297#13063313C2311yescharacteristic
298#13063313C2311yescharacteristic
299#13063312C2311yescharacteristic
300#13063312C2311yescharacteristic
301#13063311—21no—
302#13063311—21no—
303#13063311—21no—
304#13063311—21no—
305#13063311—21no—
306#13063311—21no—
307#13063310—21no—
308#13063310—21no—
309#13063310—21no—
310#13063310—21no—
311#13063310—21no—
312#13063310—21no—
313#13063310—21no—
314#13063310—21no—
315#13063310—21no—
316#13063308—21no—
317#13063307—21no—
318#13063307—21no—
319#13063306—21no—
320#13063306—21no—
321#13063305—21no—
322#13063305C2311yescharacteristic
323#13063304—21no—
324#13063304—21no—
325#13063304C2311yescharacteristic
326#13063303—21no—
327#13063303—21no—
328#13063303—21no—
329#13063303—21no—
330#13063303—21no—
331#13063303—21no—
332#13063303—21no—
333#13063303—21no—
334#13063303—21no—
335#13063301—21no—
336#13063301—21no—
337#13063301C2311yescharacteristic
338#13063301C2311yescharacteristic
339#13063300—21no—
340#13063300C2311yescharacteristic
341#13063299—21no—
342#13063299—21no—
343#13063299C2311yescharacteristic
344#13063298—21no—
345#13063298—21no—
346#13063298—21no—
347#13063298—21no—
348#13063298—21no—
349#13063298—21no—
350#13063297—21no—
351#13063297—21no—
352#13063297—21no—
353#13063297—21no—
354#13063293—21no—
355#13063293—21no—
356#13063293—21no—
357#13063293—21no—
358#13063293—21no—
359#13063293—21no—
360Q8×Dic43C2311yescharacteristic
361Q8×Dic43C2311yescharacteristic
362C4×Dic86—21no—
363C4×Dic86—21no—
364C4×Dic86D411yescharacteristic
365C4×Dic86D411yescharacteristic
366C4×Dic86C2311yescharacteristic
367#13063290—21no—
368#13063290C2311yescharacteristic
369C4×D172—21no—
370C4×D172—21no—
371C4×D172D411yescharacteristic
372C4×D172D411yescharacteristic
373C4×D172C2311yescharacteristic
374#13063287—21no—
375#13063287C2311yescharacteristic
376C4×C22⋊D43—21no—
377C4×C22⋊D43D411yescharacteristic
378C4×C22⋊D43D411yescharacteristic
379C4×C22⋊D43D411yescharacteristic
380C4×C22⋊D43D411yescharacteristic
381(C22⋊D43)⋊C4—21no—
382(C22⋊D43)⋊C4—21no—
383(C22⋊D43)⋊C4—21no—
384(C22⋊D43)⋊C4—21no—
385#13063284C2311yescharacteristic
386#13063283—21no—
387#13063283C2311yescharacteristic
388#13063282—21no—
389#13063282—21no—
390#13063282—21no—
391#13063282C2311yescharacteristic
392#13063282C2311yescharacteristic
393C4⋊C4×D43—21no—
394C4⋊C4×D43C2311yescharacteristic
395C2×(C2×D43)⋊C4—21no—
396C2×(C2×D43)⋊C4—21no—
397C22⋊C4×D43—21no—
398C22⋊C4×D43—21no—
399C22⋊C4×D43—21no—
400C22⋊C4×D43—21no—
401C42×D43—21no—
402C42×D43—21no—
403C42×D43C2311yescharacteristic
404C42×D43C2311yescharacteristic
405C4⋊(C43⋊C8)C2311yescharacteristic
406C4⋊(C43⋊C8)C2311yescharacteristic
407Dic43⋊C8C2311yescharacteristic
408Dic43⋊C8C2311yescharacteristic
409Dic43⋊C8C2311yescharacteristic
410Dic43⋊C8C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063250C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063249C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063247C2311yescharacteristic
426#13063247C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063246C2311yescharacteristic
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
441#13063236C2311yescharacteristic
442#13063236C2311yescharacteristic
443#13063235C2311yescharacteristic
444#13063235C2311yescharacteristic
445C8×Dic43C2311yescharacteristic
446C8×Dic43C2311yescharacteristic
447C2×#41×C43C2311yescharacteristic
448C2×#41×C43C2311yescharacteristic
449C2×Q16×C43C2311yescharacteristic
450C2×Q16×C43C2311yescharacteristic
451C2×Q16×C43C2311yescharacteristic
452C2×Q16×C43C2311yescharacteristic
453C2×SD16×C43C2311yescharacteristic
454C2×SD16×C43C2311yescharacteristic
455C2×SD16×C43C2311yescharacteristic
456C2×SD16×C43C2311yescharacteristic
457C4⋊Q8×C43C2311yescharacteristic
458C4⋊Q8×C43C2311yescharacteristic
459C4⋊Q8×C43C2311yescharacteristic
460#127×C43C2311yescharacteristic
461#125×C43—21no—
462#124×C43C2311yescharacteristic
463#124×C43C2311yescharacteristic
464C22⋊Q8×C43—21no—
465C22⋊Q8×C43C2311yescharacteristic
466C22⋊Q8×C43C2311yescharacteristic
467#121×C43—21no—
468#121×C43—21no—
469C4×Q8×C43—21no—
470C4×Q8×C43C2311yescharacteristic
471C4×Q8×C43C2311yescharacteristic
472C4×D4×C43—21no—
473C4×D4×C43—21no—
474#117×C43—21no—
475C2×C42×C43C2311yescharacteristic
476C4⋊C8×C43C2311yescharacteristic
477C4⋊C8×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#103×C43C2311yescharacteristic
481#103×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484#102×C43C2311yescharacteristic
485#102×C43C2311yescharacteristic
486C22⋊C8×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488C4×C8×C43C2311yescharacteristic
489C4×C8×C43C2311yescharacteristic
490C23×D43—21no—
491C23×D43—21no—
492C23×D43—21no—
493#41×C43—41no—
494#41×C43—41no—
495#41×C43—41no—
496#41×C43—41no—
497C2×Q8×C43—21no—
498C2×Q8×C43C2411yescharacteristic
499C2×Q8×C43C2411yescharacteristic
500C2×Q8×C43C2411yescharacteristic
501C2×Q8×C43C2411yescharacteristic
502C2×D4×C43—21no—
503C2×D4×C43—21no—
504C2×D4×C43—21no—
505C2×D4×C43—21no—
506C2×D4×C43C2411yescharacteristic
507C2×D4×C43C2411yescharacteristic
508C22×C4×C43—21no—
509C22×C4×C43—21no—
510C22×C4×C43C2×D411yescharacteristic
511C22×C4×C43C2×D411yescharacteristic
512C22×C4×C43C2411yescharacteristic
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—21no—
520C2×C22⋊D43—21no—
521C2×C22⋊D43—21no—
522C2×C22⋊D43C2×D411yescharacteristic
523C2×C22⋊D43C2×D411yescharacteristic
524C22×Dic43—21no—
525C22×Dic43—21no—
526C22×Dic43—21no—
527#10621902—22no—
528#10621902—22no—
529#10621902—22no—
530#10621902—22no—
531#10621902—41no—
532#10621902—41no—
533Q8×D43—22no—
534Q8×D43—22no—
535Q8×D43—22no—
536Q8×D43—22no—
537Q8×D43—41no—
538Q8×D43—41no—
539#10621900—22no—
540#10621900—22no—
541#10621900—41no—
542#10621900—41no—
543#10621900—44no—
544#10621900—44no—
545D4×D43—22no—
546D4×D43—22no—
547D4×D43—41no—
548D4×D43—41no—
549D4×D43—44no—
550D4×D43—44no—
551#10621898—22no—
552#10621898—22no—
553#10621898—44no—
554#10621898—44no—
555C2×D172—21no—
556C2×D172—21no—
557C2×D172—21no—
558C2×D172—21no—
559C2×D172—21no—
560C2×D172—41no—
561C2×D172—41no—
562C2×D172—44no—
563C2×D172C2×D411yescharacteristic
564C2×D172C2411yescharacteristic
565C2×D172C2411yescharacteristic
566C2×D172C2411yescharacteristic
567C2×C4×D43—21no—
568C2×C4×D43—21no—
569C2×C4×D43—21no—
570C2×C4×D43—21no—
571C2×C4×D43—21no—
572C2×C4×D43—21no—
573C2×C4×D43—21no—
574C2×C4×D43—21no—
575C2×C4×D43—21no—
576C2×C4×D43C2×D411yescharacteristic
577C2×C4×D43C2×D411yescharacteristic
578C2×C4×D43C2×D411yescharacteristic
579C2×C4×D43C2×D411yescharacteristic
580C2×C4×D43C2411yescharacteristic
581C2×C4×D43C2411yescharacteristic
582C2×Dic86—21no—
583C2×Dic86—21no—
584C2×Dic86—21no—
585C2×Dic86—21no—
586C2×Dic86—21no—
587C2×Dic86—41no—
588C2×Dic86—41no—
589C2×Dic86—44no—
590C2×Dic86C2×D411yescharacteristic
591C2×Dic86C2411yescharacteristic
592C2×Dic86C2411yescharacteristic
593C2×Dic86C2411yescharacteristic
594Q16×C43—41no—
595Q16×C43—41no—
596Q16×C43—41no—
597Q16×C43—41no—
598SD16×C43—41no—
599SD16×C43—41no—
600SD16×C43—41no—
601SD16×C43—41no—
602C2×C8×C43C2411yescharacteristic
603C2×C8×C43C2411yescharacteristic
604C2×C8×C43C2411yescharacteristic
605C2×C8×C43C2411yescharacteristic
606C4⋊C4×C43—21no—
607C4⋊C4×C43—21no—
608C4⋊C4×C43—21no—
609C4⋊C4×C43—21no—
610C4⋊C4×C43—21no—
611C4⋊C4×C43—21no—
612C4⋊C4×C43—21no—
613C4⋊C4×C43—21no—
614C4⋊C4×C43—21no—
615C4⋊C4×C43C2411yescharacteristic
616C4⋊C4×C43C2411yescharacteristic
617C22⋊C4×C43—21no—
618C22⋊C4×C43—21no—
619C22⋊C4×C43—21no—
620C22⋊C4×C43—21no—
621C22⋊C4×C43—21no—
622C22⋊C4×C43—21no—
623C42×C43—21no—
624C42×C43—21no—
625C42×C43C2×D411yescharacteristic
626C42×C43C2×D411yescharacteristic
627C42×C43C2411yescharacteristic
628C42×C43C2411yescharacteristic
629C22⋊Dic43—21no—
630C22⋊Dic43—21no—
631C22⋊Dic43—21no—
632C22⋊Dic43—21no—
633C22⋊Dic43—21no—
634C22⋊Dic43C2×D411yescharacteristic
635C22⋊Dic43C2×D411yescharacteristic
636#10621885—41no—
637#10621885—41no—
638#10621885—41no—
639#10621885—41no—
640#10621885—41no—
641#10621885—41no—
642#10621884—41no—
643#10621884—41no—
644#10621884—41no—
645#10621884—41no—
646#10621884—41no—
647#10621884—41no—
648#10621883—41no—
649#10621883—41no—
650#10621882—41no—
651#10621882—41no—
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)⋊C4—21no—
660(C2×D43)⋊C4—21no—
661(C2×D43)⋊C4—21no—
662(C2×D43)⋊C4—21no—
663(C2×D43)⋊C4—21no—
664(C2×D43)⋊C4—21no—
665(C2×D43)⋊C4—21no—
666(C2×D43)⋊C4—21no—
667(C2×D43)⋊C4—21no—
668(C2×D43)⋊C4—21no—
669(C2×D43)⋊C4—21no—
670(C2×D43)⋊C4—21no—
671(C2×D43)⋊C4—21no—
672(C2×D43)⋊C4—21no—
673(C2×D43)⋊C4—21no—
674(C2×D43)⋊C4—21no—
675(C2×D43)⋊C4—21no—
676(C2×D43)⋊C4C2×D411yescharacteristic
677(C2×D43)⋊C4C2×D411yescharacteristic
678(C2×D43)⋊C4C2×D411yescharacteristic
679(C2×D43)⋊C4C2×D411yescharacteristic
680C4⋊Dic43—21no—
681C4⋊Dic43—21no—
682C4⋊Dic43—21no—
683C4⋊Dic43—21no—
684C4⋊Dic43C2×D411yescharacteristic
685C4⋊Dic43C2×D411yescharacteristic
686C4⋊Dic43C2411yescharacteristic
687C4⋊Dic43C2411yescharacteristic
688Dic43⋊C4—21no—
689Dic43⋊C4—21no—
690Dic43⋊C4—21no—
691Dic43⋊C4—21no—
692Dic43⋊C4—21no—
693Dic43⋊C4—21no—
694Dic43⋊C4—21no—
695Dic43⋊C4—21no—
696Dic43⋊C4—21no—
697Dic43⋊C4—21no—
698Dic43⋊C4—21no—
699Dic43⋊C4—21no—
700Dic43⋊C4—21no—
701Dic43⋊C4—21no—
702Dic43⋊C4—21no—
703Dic43⋊C4—21no—
704Dic43⋊C4C2×D411yescharacteristic
705Dic43⋊C4C2×D411yescharacteristic
706Dic43⋊C4C2×D411yescharacteristic
707Dic43⋊C4C2×D411yescharacteristic
708C4×Dic43—21no—
709C4×Dic43—21no—
710C4×Dic43—21no—
711C4×Dic43—21no—
712C4×Dic43—21no—
713C4×Dic43C2×D411yescharacteristic
714C4×Dic43C2×D411yescharacteristic
715C4×Dic43C2×D411yescharacteristic
716C4×Dic43C2×D411yescharacteristic
717C4×Dic43C2411yescharacteristic
718C4×Dic43C2411yescharacteristic
719C2×C43⋊C8C2411yescharacteristic
720C2×C43⋊C8C2411yescharacteristic
721C2×C43⋊C8C2411yescharacteristic
722C2×C43⋊C8C2411yescharacteristic
723Dic172—41no—
724Dic172—41no—
725D344—41no—
726D344—41no—
727#10621873—41no—
728#10621873—41no—
729#10621873—41no—
730#10621873—41no—
731#10621872—22no—
732#10621872—22no—
733C8×D43—22no—
734C8×D43—22no—
735C23×C43—21no—
736C23×C43—21no—
737C23×C43C22×D411yescharacteristic
738C22×D43—21no—
739C22×D43—21no—
740C22×D43—21no—
741C22×D43—42no—
742C22×D43—42no—
743C22×D43—42no—
744C22×D43—81no—
745C22×D43—81no—
746C22×D43—81no—
747C22×D43—81no—
748C22×D43—81no—
749C22×D43—81no—
750C22×D43C22×D411yescharacteristic
751C22×D43C22×D411yescharacteristic
752Q8×C43—21no—
753Q8×C43—21no—
754Q8×C43—21no—
755Q8×C43—21no—
756Q8×C43—21no—
757Q8×C43—21no—
758Q8×C43—21no—
759Q8×C43—21no—
760Q8×C43—81no—
761D4×C43—21no—
762D4×C43—21no—
763D4×C43—21no—
764D4×C43—21no—
765D4×C43—42no—
766D4×C43—42no—
767D4×C43—81no—
768D4×C43—81no—
769C2×C4×C43—21no—
770C2×C4×C43—21no—
771C2×C4×C43—21no—
772C2×C4×C43—21no—
773C2×C4×C43—21no—
774C2×C4×C43—21no—
775C2×C4×C43—21no—
776C2×C4×C43—21no—
777C2×C4×C43—41no—
778C2×C4×C43—41no—
779C2×C4×C43—42no—
780C2×C4×C43—42no—
781C2×C4×C43C22×D411yescharacteristic
782C2×C4×C43C22×D411yescharacteristic
783C2×C4×C43C22×D411yescharacteristic
784C2×C4×C43C22×D411yescharacteristic
785C2×C4×C43C22×D411yescharacteristic
786C2×C4×C43C2511yescharacteristic
787C22⋊D43—22no—
788C22⋊D43—22no—
789C22⋊D43—42no—
790C22⋊D43—42no—
791C22⋊D43—42no—
792C22⋊D43—42no—
793C22⋊D43—81no—
794C22⋊D43—81no—
795C22⋊D43—81no—
796C22⋊D43—81no—
797C22⋊D43—81no—
798C2×Dic43—21no—
799C2×Dic43—21no—
800C2×Dic43—21no—
801C2×Dic43—21no—
802C2×Dic43—21no—
803C2×Dic43—42no—
804C2×Dic43—42no—
805C2×Dic43—42no—
806C2×Dic43C22×D411yescharacteristic
807C2×Dic43C22×D411yescharacteristic
808C2×Dic43C22×D411yescharacteristic
809C2×Dic43C22×D411yescharacteristic
810C2×Dic43C22×D411yescharacteristic
811C2×Dic43C22×D411yescharacteristic
812D172—22no—
813D172—21no—
814D172—21no—
815D172—21no—
816D172—21no—
817D172—21no—
818D172—21no—
819D172—42no—
820D172—42no—
821D172—42no—
822D172—42no—
823D172—81no—
824C4×D43—21no—
825C4×D43—21no—
826C4×D43—41no—
827C4×D43—41no—
828C4×D43—41no—
829C4×D43—41no—
830C4×D43—42no—
831C4×D43—42no—
832C4×D43—42no—
833C4×D43—42no—
834C4×D43—42no—
835C4×D43—42no—
836C4×D43—42no—
837C4×D43—81no—
838C4×D43—81no—
839C4×D43H(5,𝔽2)12yes—
840C4×D43H(5,𝔽2)12yes—
841Dic86—22no—
842Dic86—21no—
843Dic86—21no—
844Dic86—21no—
845Dic86—21no—
846Dic86—21no—
847Dic86—21no—
848Dic86—42no—
849Dic86—42no—
850Dic86—42no—
851Dic86—42no—
852Dic86—81no—
853C8×C43—21no—
854C8×C43—21no—
855C8×C43—21no—
856C8×C43—21no—
857C43⋊C8—21no—
858C43⋊C8—21no—
859C43⋊C8—21no—
860C43⋊C8—21no—
861#60835—431nomaximal, Sylow
862C22×C43—21no—
863C22×C43—21no—
864C22×C43—21no—
865C22×C43—41no—
866C22×C43—41no—
867C22×C43—41no—
868C22×C43—41no—
869C22×C43—41no—
870C22×C43—41no—
871C22×C43C23×D411yescharacteristic
872C2×D43—21no—
873C2×D43—21no—
874C2×D43—21no—
875C2×D43—21no—
876C2×D43—21no—
877C2×D43—41no—
878C2×D43—41no—
879C2×D43—41no—
880C2×D43—41no—
881C2×D43—41no—
882C2×D43—41no—
883C2×D43—41no—
884C2×D43—41no—
885C2×D43—41no—
886C2×D43—162no—
887C2×D43—162no—
888C2×D43—162no—
889C2×D43#53512yes—
890C4×C43—21no—
891C4×C43—21no—
892C4×C43—21no—
893C4×C43—21no—
894C4×C43—21no—
895C4×C43—41no—
896C4×C43—41no—
897C4×C43—41no—
898C4×C43—41no—
899C4×C43—41no—
900C4×C43—41no—
901C4×C43C2×H(5,𝔽2)11yescharacteristic
902C4×C43C2×H(5,𝔽2)11yescharacteristic
903Dic43—21no—
904Dic43—21no—
905Dic43—21no—
906Dic43—21no—
907Dic43—21no—
908Dic43—41no—
909Dic43—41no—
910Dic43—41no—
911Dic43—41no—
912Dic43—41no—
913Dic43#53512yes—
914#3500—431no—
915#3461—431no—
916#3225—431no—
917#3225—431no—
918#3224—431no—
919#3224—431no—
920#3223—431no—
921#3223—431no—
922#3222—431no—
923#3222—431no—
924#3219—431no—
925#3219—431no—
926#3215—431no—
927#3215—431no—
928#3211—431no—
929#3211—431no—
930#3210—431no—
931#3210D4311yescharacteristic, complemented
932#3156—431no—
933#3154—431no—
934#3137—431no—
935#3136—431no—
936#3040—431no—
937#3037—431no—
938#3035—431no—
939C2×#464—431no—
940#3013—431no—
941#3012—431no—
942#3011—431no—
943#3009—431no—
944#2925—431no—
945C2×C43—41no—
946C2×C43—81no—
947C2×C43—81no—
948C2×C43C2×#53511yescharacteristic
949C2×C43#358411yescharacteristic
950C2×C43#358611yescharacteristic
951D43—22no—
952D43—41no—
953D43—81no—
954D43—81no—
955D43—81no—
956C2×2−1+4—431no—
957C2×H(5,𝔽2)—431no—
958C2×#137—431no—
959C2×#137—431no—
960C2×#137—431no—
961C2×AGL(1,ℤ/8)—431no—
962C2×#135—431no—
963C2×#135—431no—
964C22×Q16—431no—
965C22×SD16—431no—
966#548—861no—
967#548—861no—
968#546—861no—
969#546—861no—
970#546—861no—
971#546—861no—
972#546—861no—
973#546—861no—
974#544—431no—
975#542—431no—
976#542—431no—
977#542—861no—
978#541—431no—
979#541—431no—
980#541—861no—
981#539—861no—
982#539—861no—
983#537—431no—
984#536—431no—
985#536—431no—
986#536—431no—
987#536—431no—
988#536—431no—
989#535—431no—
990#535—431no—
991#535—431no—
992#533—431no—
993#533—861no—
994#533C2×D4311yescharacteristic, complemented
995#532—431no—
996#532—431no—
997#532C2×D4311yescharacteristic
998#529—431no—
999#529—431no—
1000#529—861no—
1001#529—861no—
1002#529—861no—
1003C2×#124—431no—
1004C2×#124—431no—
1005C2×#124—431no—
1006C4×#41—431no—
1007C4×#41—431no—
1008C2×C4×Q8—431no—
1009#497—431no—
1010#497—431no—
1011#497—431no—
1012#497—431no—
1013#497—431no—
1014#497—431no—
1015#496—431no—
1016#496—431no—
1017#495—431no—
1018#495—431no—
1019#495—431no—
1020#495—431no—
1021#494—431no—
1022#494C2×D4311yescharacteristic, complemented
1023#492—431no—
1024#492C2×D4311yescharacteristic, complemented
1025#491—431no—
1026#491—431no—
1027#490—431no—
1028#490—431no—
1029#489—431no—
1030#489—431no—
1031#489—431no—
1032#489—431no—
1033#488—431no—
1034#488—431no—
1035#488—431no—
1036#488—431no—
1037#487—431no—
1038#487C2×D4311yescharacteristic, complemented
1039#486—431no—
1040#486C2×D4311yescharacteristic, complemented
1041#464—431no—
1042#464—431no—
1043#464—431no—
1044#464—431no—
1045#464—431no—
1046#464—431no—
1047#464—431no—
1048#464—431no—
1049#464—431no—
1050#464—431no—
1051#464—431no—
1052#464—431no—
1053#464—431no—
1054#464—431no—
1055#464C2×D4311yescharacteristic, complemented
1056#464C2×D4311yescharacteristic, complemented
1057#464C2×D4311yescharacteristic, complemented
1058#464C2×D4311yescharacteristic, complemented
1059#463—431no—
1060#463—431no—
1061#463—431no—
1062#463—431no—
1063#463—431no—
1064#463—431no—
1065#462—431no—
1066#462—431no—
1067#462—431no—
1068#461—431no—
1069#460—431no—
1070#460—431no—
1071#460—431no—
1072#459—431no—
1073#452—431no—
1074#452—431no—
1075#452—431no—
1076#452—431no—
1077#452—431no—
1078#452—431no—
1079#452—431no—
1080#452—431no—
1081#452C2×D4311yescharacteristic
1082#452C2×D4311yescharacteristic
1083#452C2×D4311yescharacteristic, complemented
1084#452C2×D4311yescharacteristic, complemented
1085#451—431no—
1086#451—431no—
1087#451—431no—
1088#451—431no—
1089#451—431no—
1090#451—431no—
1091#450—431no—
1092#450—431no—
1093#450—431no—
1094#450—431no—
1095#450—431no—
1096#450—431no—
1097#449—431no—
1098#449—431no—
1099#449—431no—
1100#449—431no—
1101#448—431no—
1102#448—431no—
1103#447—431no—
1104#447—431no—
1105#433—431no—
1106#433—431no—
1107#433—431no—
1108#433—431no—
1109#432—431no—
1110#432—431no—
1111#431—431no—
1112#431C2×D4311yescharacteristic, complemented
1113#423—431no—
1114C2×C4⋊C8—431no—
1115#419—431no—
1116#418—431no—
1117#417—431no—
1118#417—431no—
1119#416—431no—
1120#416—431no—
1121C2×#103—431no—
1122C2×#102—431no—
1123#408—431no—
1124#408—431no—
1125#405—431no—
1126#405—431no—
1127C43#6083511yescharacteristic, complemented, Sylow
11282−1+4—1722no—
11292−1+4—1722no—
1130H(5,𝔽2)—1722no—
1131H(5,𝔽2)—1722no—
1132C2×#41—431no—
1133C2×#41—431no—
1134C2×#41—431no—
1135C2×#41—431no—
1136C2×#41—431no—
1137C2×#41—431no—
1138C2×#41—861no—
1139C2×#41—861no—
1140C2×#41—861no—
1141C2×#41—861no—
1142C2×#41C22×D4311yescharacteristic
1143C2×#41C22×D4311yescharacteristic
1144C22×Q8—431no—
1145C22×Q8—431no—
1146C22×Q8—431no—
1147C22×Q8—431no—
1148C22×Q8—861no—
1149C22×D4—431no—
1150C22×D4—431no—
1151C22×D4—431no—
1152C22×D4—861no—
1153C22×D4—861no—
1154C22×D4—861no—
1155#137—1722no—
1156#137—1722no—
1157#137—1722no—
1158AGL(1,ℤ/8)—1722no—
1159#135—1722no—
1160#135—1722no—
1161C2×Q16—431no—
1162C2×Q16—431no—
1163C2×Q16—431no—
1164C2×Q16—431no—
1165C2×Q16—431no—
1166C2×Q16—431no—
1167C2×Q16—431no—
1168C2×Q16—431no—
1169C2×Q16—1722no—
1170C2×Q16C22×D4311yescharacteristic
1171C2×Q16C22×D4311yescharacteristic
1172C2×Q16C22×D4311yescharacteristic
1173C2×Q16C22×D4311yescharacteristic
1174C2×SD16—431no—
1175C2×SD16—431no—
1176C2×SD16—431no—
1177C2×SD16—431no—
1178C2×SD16—431no—
1179C2×SD16—431no—
1180C2×SD16—431no—
1181C2×SD16—431no—
1182C2×SD16—431no—
1183C2×SD16—431no—
1184C2×SD16—431no—
1185C2×SD16—431no—
1186C2×SD16—1722no—
1187C2×SD16C22×D4311yescharacteristic
1188C2×SD16C22×D4311yescharacteristic
1189C2×SD16C22×D4311yescharacteristic
1190C2×SD16C22×D4311yescharacteristic
1191C2×D8—431no—
1192C2×D8—431no—
1193C2×D8—431no—
1194C2×D8—431no—
1195C2×M16—431no—
1196C2×M16—431no—
1197C22×C8—431no—
1198C22×C8—431no—
1199C4⋊Q8—431no—
1200C4⋊Q8—431no—
1201C4⋊Q8—431no—
1202C4⋊Q8—431no—
1203C4⋊Q8—861no—
1204C4⋊Q8—861no—
1205C4⋊Q8C22×D4311yescharacteristic
1206C4⋊Q8C22×D4311yescharacteristic
1207C4⋊Q8C22×D4311yescharacteristic
1208#127—431no—
1209#127—431no—
1210#127C22×D4311yescharacteristic
1211#126—861no—
1212#126—861no—
1213#126—861no—
1214#126—861no—
1215#126—861no—
1216#126—861no—
1217#126—861no—
1218#126—861no—
1219#125—21no—
1220#125—431no—
1221#125—431no—
1222#125—861no—
1223#125—861no—
1224#125—861no—
1225#125—861no—
1226#125—861no—
1227#125—861no—
1228#124—431no—
1229#124—431no—
1230#124—431no—
1231#124—431no—
1232#124—431no—
1233#124—431no—
1234#124—431no—
1235#124—431no—
1236#124—431no—
1237#124—431no—
1238#124—861no—
1239#124—861no—
1240#124—861no—
1241#124—861no—
1242#124—861no—
1243#124—861no—
1244#124—861no—
1245#124—861no—
1246#124—861no—
1247#124C22×D4311yescharacteristic
1248#124C22×D4311yescharacteristic
1249#123—861no—
1250#123—861no—
1251#123—861no—
1252#123—861no—
1253#123—861no—
1254#123—861no—
1255#123—861no—
1256#123—861no—
1257#123—861no—
1258#123—861no—
1259#123—861no—
1260#123—861no—
1261#123—861no—
1262#123—861no—
1263C22⋊Q8—21no—
1264C22⋊Q8—431no—
1265C22⋊Q8—431no—
1266C22⋊Q8—431no—
1267C22⋊Q8—431no—
1268C22⋊Q8—861no—
1269C22⋊Q8—861no—
1270C22⋊Q8—861no—
1271C22⋊Q8—861no—
1272C22⋊Q8—861no—
1273C22⋊Q8—861no—
1274C22⋊Q8—861no—
1275C22⋊Q8—861no—
1276C22⋊Q8—861no—
1277C22⋊Q8—861no—
1278C22⋊Q8—861no—
1279C22⋊Q8—861no—
1280C22⋊Q8—861no—
1281C22⋊Q8—861no—
1282C22⋊Q8C22×D4311yescharacteristic
1283C22⋊Q8C22×D4311yescharacteristic
1284#121—21no—
1285#121—21no—
1286#121—431no—
1287#121—431no—
1288#121—861no—
1289#121—861no—
1290#121—861no—
1291#121—861no—
1292#121—861no—
1293#121—861no—
1294#121—861no—
1295#121—861no—
1296#121—861no—
1297#121—861no—
1298#121—861no—
1299#121—861no—
1300#121—861no—
1301#120—861no—
1302#120—861no—
1303#120—861no—
1304#120—861no—
1305#120—861no—
1306#120—861no—
1307C4×Q8—21no—
1308C4×Q8—431no—
1309C4×Q8—431no—
1310C4×Q8—431no—
1311C4×Q8—431no—
1312C4×Q8—431no—
1313C4×Q8—431no—
1314C4×Q8—861no—
1315C4×Q8—861no—
1316C4×Q8—861no—
1317C4×Q8C22×D4311yescharacteristic
1318C4×Q8C22×D4311yescharacteristic
1319C4×D4—21no—
1320C4×D4—21no—
1321C4×D4—431no—
1322C4×D4—431no—
1323C4×D4—431no—
1324C4×D4—431no—
1325C4×D4—431no—
1326C4×D4—431no—
1327C4×D4—431no—
1328C4×D4—431no—
1329C4×D4—861no—
1330C4×D4—861no—
1331C4×D4—861no—
1332C4×D4—861no—
1333C4×D4—861no—
1334C4×D4—861no—
1335C4×D4—861no—
1336C4×D4—861no—
1337#117—21no—
1338#117—431no—
1339#117—431no—
1340#117—431no—
1341#117—431no—
1342#117—861no—
1343#117—861no—
1344#117—861no—
1345#117—861no—
1346C2×C4⋊C4—431no—
1347C2×C4⋊C4—861no—
1348C2×C22⋊C4—861no—
1349C2×C22⋊C4—861no—
1350C2×C22⋊C4—861no—
1351C2×C22⋊C4—861no—
1352C2×C22⋊C4—861no—
1353C2×C22⋊C4—861no—
1354C2×C42—431no—
1355C2×C42—431no—
1356C2×C42—861no—
1357C2×C42—861no—
1358C2×C42C22×D4311yescharacteristic
1359C4⋊C8—431no—
1360C4⋊C8—431no—
1361C4⋊C8—431no—
1362C4⋊C8—431no—
1363C4⋊C8—431no—
1364C4⋊C8—431no—
1365C4⋊C8C22×D4311yescharacteristic
1366C4⋊C8C22×D4311yescharacteristic
1367#103—431no—
1368#103—431no—
1369#103—431no—
1370#103—431no—
1371#103—431no—
1372#103—431no—
1373#103—431no—
1374#103—431no—
1375#103—431no—
1376#103—431no—
1377#103—431no—
1378#103—431no—
1379#103C22×D4311yescharacteristic
1380#103C22×D4311yescharacteristic
1381#103C22×D4311yescharacteristic
1382#103C22×D4311yescharacteristic
1383#102—431no—
1384#102—431no—
1385#102—431no—
1386#102—431no—
1387#102—431no—
1388#102—431no—
1389#102—431no—
1390#102—431no—
1391#102—431no—
1392#102—431no—
1393#102—431no—
1394#102—431no—
1395#102C22×D4311yescharacteristic
1396#102C22×D4311yescharacteristic
1397#102C22×D4311yescharacteristic
1398#102C22×D4311yescharacteristic
1399C22⋊C8—431no—
1400C22⋊C8—431no—
1401C22⋊C8—431no—
1402C22⋊C8—431no—
1403C22⋊C8—431no—
1404C22⋊C8—431no—
1405C22⋊C8C22×D4311yescharacteristic
1406C22⋊C8C22×D4311yescharacteristic
1407#97—431no—
1408#97—431no—
1409#97—431no—
1410#97—431no—
1411C4×C8—431no—
1412C4×C8—431no—
1413C4×C8C22×D4311yescharacteristic
1414C4×C8C22×D4311yescharacteristic
1415C24—861no—
1416C24—861no—
1417C24—861no—
1418#41—41no—
1419#41—41no—
1420#41—41no—
1421#41—41no—
1422#41—862no—
1423#41—862no—
1424#41—862no—
1425#41—862no—
1426#41—862no—
1427#41—862no—
1428#41—862no—
1429#41—862no—
1430#41—1724no—
1431#41—1724no—
1432#41—1721no—
1433#41—1721no—
1434#41—1721no—
1435#41—1721no—
1436#41—1724no—
1437#41—1724no—
1438C2×Q8—21no—
1439C2×Q8—431no—
1440C2×Q8—431no—
1441C2×Q8—431no—
1442C2×Q8—431no—
1443C2×Q8—861no—
1444C2×Q8—861no—
1445C2×Q8—861no—
1446C2×Q8—861no—
1447C2×Q8—862no—
1448C2×Q8—862no—
1449C2×Q8—862no—
1450C2×Q8—862no—
1451C2×Q8—861no—
1452C2×Q8—1721no—
1453C2×Q8—1721no—
1454C2×Q8—1724no—
1455C2×Q8—1721no—
1456C2×Q8—1721no—
1457C2×Q8C23×D4311yescharacteristic
1458C2×Q8C23×D4311yescharacteristic
1459C2×Q8C23×D4311yescharacteristic
1460C2×Q8C23×D4311yescharacteristic
1461C2×D4—21no—
1462C2×D4—21no—
1463C2×D4—21no—
1464C2×D4—21no—
1465C2×D4—431no—
1466C2×D4—431no—
1467C2×D4—431no—
1468C2×D4—431no—
1469C2×D4—431no—
1470C2×D4—431no—
1471C2×D4—861no—
1472C2×D4—861no—
1473C2×D4—861no—
1474C2×D4—861no—
1475C2×D4—862no—
1476C2×D4—862no—
1477C2×D4—861no—
1478C2×D4—861no—
1479C2×D4—861no—
1480C2×D4—861no—
1481C2×D4—861no—
1482C2×D4—861no—
1483C2×D4—861no—
1484C2×D4—861no—
1485C2×D4—861no—
1486C2×D4—861no—
1487C2×D4—1721no—
1488C2×D4—1721no—
1489C2×D4—1724no—
1490C2×D4—1721no—
1491C2×D4—1721no—
1492C2×D4—1724no—
1493C2×D4—1724no—
1494C2×D4C23×D4311yescharacteristic
1495C2×D4C23×D4311yescharacteristic
1496C22×C4—21no—
1497C22×C4—21no—
1498C22×C4—431no—
1499C22×C4—431no—
1500C22×C4—431no—
1501C22×C4—431no—
1502C22×C4—431no—
1503C22×C4—431no—
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—861no—
1514C22×C4—861no—
1515C22×C4—861no—
1516C22×C4D4×D4311yescharacteristic
1517C22×C4D4×D4311yescharacteristic
1518C22×C4C23×D4311yescharacteristic
1519Q16—41no—
1520Q16—41no—
1521Q16—41no—
1522Q16—41no—
1523Q16—1721no—
1524Q16—1721no—
1525Q16—1721no—
1526Q16—1721no—
1527Q16—1721no—
1528Q16—1721no—
1529Q16—1721no—
1530Q16—1721no—
1531SD16—41no—
1532SD16—41no—
1533SD16—41no—
1534SD16—41no—
1535SD16—1721no—
1536SD16—1721no—
1537SD16—1721no—
1538SD16—1721no—
1539SD16—1721no—
1540SD16—1721no—
1541SD16—1721no—
1542SD16—1721no—
1543SD16—1721no—
1544SD16—1721no—
1545SD16—1721no—
1546SD16—1721no—
1547D8—1721no—
1548D8—1721no—
1549D8—1721no—
1550D8—1721no—
1551M16—862no—
1552M16—862no—
1553C2×C8—431no—
1554C2×C8—431no—
1555C2×C8—431no—
1556C2×C8—431no—
1557C2×C8—862no—
1558C2×C8—862no—
1559C2×C8C23×D4311yescharacteristic
1560C2×C8C23×D4311yescharacteristic
1561C2×C8C23×D4311yescharacteristic
1562C2×C8C23×D4311yescharacteristic
1563C4⋊C4—21no—
1564C4⋊C4—21no—
1565C4⋊C4—21no—
1566C4⋊C4—21no—
1567C4⋊C4—21no—
1568C4⋊C4—21no—
1569C4⋊C4—21no—
1570C4⋊C4—21no—
1571C4⋊C4—21no—
1572C4⋊C4—431no—
1573C4⋊C4—431no—
1574C4⋊C4—431no—
1575C4⋊C4—431no—
1576C4⋊C4—431no—
1577C4⋊C4—431no—
1578C4⋊C4—431no—
1579C4⋊C4—431no—
1580C4⋊C4—861no—
1581C4⋊C4—861no—
1582C4⋊C4—861no—
1583C4⋊C4—861no—
1584C4⋊C4—861no—
1585C4⋊C4—861no—
1586C4⋊C4—861no—
1587C4⋊C4—861no—
1588C4⋊C4—861no—
1589C4⋊C4—861no—
1590C4⋊C4—861no—
1591C4⋊C4—861no—
1592C4⋊C4—861no—
1593C4⋊C4—861no—
1594C4⋊C4—861no—
1595C4⋊C4—861no—
1596C4⋊C4—861no—
1597C4⋊C4—861no—
1598C4⋊C4—861no—
1599C4⋊C4—861no—
1600C4⋊C4C23×D4311yescharacteristic
1601C4⋊C4C23×D4311yescharacteristic
1602C22⋊C4—21no—
1603C22⋊C4—21no—
1604C22⋊C4—21no—
1605C22⋊C4—21no—
1606C22⋊C4—21no—
1607C22⋊C4—21no—
1608C22⋊C4—431no—
1609C22⋊C4—431no—
1610C22⋊C4—431no—
1611C22⋊C4—431no—
1612C22⋊C4—431no—
1613C22⋊C4—431no—
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⋊C4—861no—
1627C22⋊C4—861no—
1628C22⋊C4—861no—
1629C22⋊C4—861no—
1630C22⋊C4—861no—
1631C22⋊C4—861no—
1632C22⋊C4—861no—
1633C22⋊C4—861no—
1634C22⋊C4—861no—
1635C22⋊C4—861no—
1636C22⋊C4—861no—
1637C22⋊C4—861no—
1638C22⋊C4—861no—
1639C22⋊C4—861no—
1640C22⋊C4—861no—
1641C22⋊C4—861no—
1642C22⋊C4—861no—
1643C42—21no—
1644C42—21no—
1645C42—431no—
1646C42—431no—
1647C42—431no—
1648C42—431no—
1649C42—431no—
1650C42—431no—
1651C42—861no—
1652C42—861no—
1653C42—861no—
1654C42—861no—
1655C42—861no—
1656C42D4×D4311yescharacteristic
1657C42D4×D4311yescharacteristic
1658C42C23×D4311yescharacteristic
1659C42C23×D4311yescharacteristic
1660C23—21no—
1661C23—21no—
1662C23—431no—
1663C23—431no—
1664C23—861no—
1665C23—861no—
1666C23—861no—
1667C23—3441no—
1668C23—3441no—
1669C23—3441no—
1670C23—3441no—
1671C23—3441no—
1672C23—3441no—
1673C23—1722no—
1674C23—1722no—
1675C23—1722no—
1676C23C2×D4×D4311yescharacteristic
1677Q8—21no—
1678Q8—21no—
1679Q8—21no—
1680Q8—21no—
1681Q8—21no—
1682Q8—21no—
1683Q8—21no—
1684Q8—21no—
1685Q8—81no—
1686Q8—862no—
1687Q8—861no—
1688Q8—861no—
1689Q8—861no—
1690Q8—861no—
1691Q8—861no—
1692Q8—861no—
1693Q8—3441no—
1694Q8—1722no—
1695Q8—1722no—
1696Q8—1722no—
1697Q8—1722no—
1698D4—21no—
1699D4—21no—
1700D4—21no—
1701D4—21no—
1702D4—42no—
1703D4—42no—
1704D4—81no—
1705D4—81no—
1706D4—862no—
1707D4—862no—
1708D4—862no—
1709D4—861no—
1710D4—861no—
1711D4—861no—
1712D4—861no—
1713D4—861no—
1714D4—861no—
1715D4—3441no—
1716D4—3441no—
1717D4—3441no—
1718D4—3441no—
1719D4—3441no—
1720D4—3441no—
1721D4—1722no—
1722D4—1722no—
1723D4—1722no—
1724D4—1722no—
1725D4—1722no—
1726D4—1722no—
1727D4—1722no—
1728D4—1722no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—41no—
1738C2×C4—41no—
1739C2×C4—42no—
1740C2×C4—42no—
1741C2×C4—431no—
1742C2×C4—432no—
1743C2×C4—432no—
1744C2×C4—431no—
1745C2×C4—431no—
1746C2×C4—431no—
1747C2×C4—431no—
1748C2×C4—431no—
1749C2×C4—861no—
1750C2×C4—861no—
1751C2×C4—861no—
1752C2×C4—861no—
1753C2×C4—861no—
1754C2×C4—861no—
1755C2×C4—861no—
1756C2×C4—3441no—
1757C2×C4—3441no—
1758C2×C4—1721no—
1759C2×C4—1721no—
1760C2×C4—1721no—
1761C2×C4—1721no—
1762C2×C4—1722no—
1763C2×C4—1722no—
1764C2×C4—1722no—
1765C2×C4—1722no—
1766C2×C4—1722no—
1767C2×C4—1722no—
1768C2×C4—1722no—
1769C2×C4—1722no—
1770C2×C4—1722no—
1771C2×C4—1722no—
1772C2×C4C2×D4×D4311yescharacteristic
1773C2×C4C2×D4×D4311yescharacteristic
1774C2×C4C2×D4×D4311yescharacteristic
1775C2×C4C2×D4×D4311yescharacteristic
1776C2×C4C2×D4×D4311yescharacteristic
1777C2×C4C24×D4311yescharacteristic
1778C8—21no—
1779C8—21no—
1780C8—21no—
1781C8—21no—
1782C8—861no—
1783C8—861no—
1784C8—861no—
1785C8—861no—
1786C22—21no—
1787C22—21no—
1788C22—21no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—432no—
1796C22—861no—
1797C22—861no—
1798C22—861no—
1799C22—861no—
1800C22—861no—
1801C22—1721no—
1802C22—1721no—
1803C22—1721no—
1804C22—1721no—
1805C22—1721no—
1806C22—1721no—
1807C22—1721no—
1808C22—1721no—
1809C22—1721no—
1810C22—6882no—
1811C22—6882no—
1812C22—6882no—
1813C22C22×D4×D4311yescharacteristic
1814C4—21no—
1815C4—21no—
1816C4—21no—
1817C4—21no—
1818C4—21no—
1819C4—41no—
1820C4—41no—
1821C4—41no—
1822C4—41no—
1823C4—41no—
1824C4—41no—
1825C4—432no—
1826C4—861no—
1827C4—861no—
1828C4—861no—
1829C4—861no—
1830C4—861no—
1831C4—1721no—
1832C4—1721no—
1833C4—1721no—
1834C4—1721no—
1835C4—1721no—
1836C4H(5,𝔽2)×D4311yescharacteristic
1837C4H(5,𝔽2)×D4311yescharacteristic
1838C2—41no—
1839C2—81no—
1840C2—81no—
1841C2—862no—
1842C2—3441no—
1843C2—3441no—
1844C2—3441no—
1845C2—1721no—
1846C2#535×D4311yescharacteristic
1847C2#1914936411yescharacteristic
1848C2#1914937811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3210C2
socleC22×C43C23×D4
hypercenter#3210D43
hypocenterC43#60835
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3210

Complements

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

NH ≅ G/Ntype
1. #19148382C2semidirect
2. #19148026C2semidirect
3. #19145708C2semidirect
4. #19145707C2semidirect
5. #19145695C2semidirect
6. #19145692C2semidirect
7. #19145676C2semidirect
8. #19145671C2semidirect
9. #19145665C2semidirect
10. #19145660C2semidirect
11. #19145637C2semidirect
12. #19145632C2semidirect
13. #19145596C2semidirect
14. #19145594C2semidirect
15. #19145564C2semidirect
16. #19145562C2semidirect
17. #19145550C2semidirect
18. #19145083C2semidirect
19. #19145064C2semidirect
20. #19144955C2semidirect
21. #19144944C2semidirect
22. #19144086C2semidirect
23. #19144065C2semidirect
24. #19144049C2semidirect
25. #464×D43C2semidirect
26. #19143914C2semidirect
27. #19143903C2semidirect
28. #19143887C2semidirect
29. #19143869C2semidirect
30. #19143256C2semidirect
31. C43×#3210C2semidirect
35. C2×#13063357C22semidirect
36. C2×#13063354C22semidirect
39. C2×#13063346C22semidirect
40. C2×Q16×D43C22semidirect
50. #14583526C22semidirect
51. #14583523C22semidirect
52. #14583522C22semidirect
54. #14583510C22semidirect
55. #14583509C22semidirect
62. #14583474C22semidirect
69. #14583453C22semidirect
73. #14583436C22semidirect
74. #14583433C22semidirect
80. C4×#10621902C22semidirect
82. C4×Q8×D43C22semidirect
83. #14583292C22semidirect
84. #14583292C22semidirect
85. #14583291C22semidirect
86. #14583291C22semidirect
87. #14583291C22semidirect
88. #14583290C22semidirect
89. #14583286C22semidirect
90. #14583285C22semidirect
91. #14583284C22semidirect
92. #14583283C22semidirect
93. #14583283C22semidirect
94. #14583280C22semidirect
95. #14583277C22semidirect
96. #14583270C22semidirect
97. #14583267C22semidirect
98. #14583266C22semidirect
99. #14583263C22semidirect
100. #14583262C22semidirect
101. #14583261C22semidirect
102. #14583261C22semidirect
103. #14583260C22semidirect
104. #14583257C22semidirect
105. #14583255C22semidirect
106. #14583254C22semidirect
107. #14583254C22semidirect
108. #14583252C22semidirect
109. #14583248C22semidirect
110. #14583244C22semidirect
111. #14583124C22semidirect
112. #14583123C22semidirect
113. #14583123C22semidirect
114. #14583122C22semidirect
115. #14583122C22semidirect
116. #14583121C22semidirect
117. #14583121C22semidirect
118. #14583121C22semidirect
119. #14583121C22semidirect
120. #14583120C22semidirect
121. #14583119C22semidirect
122. #14583119C22semidirect
123. #14583118C22semidirect
124. #14583118C22semidirect
125. #14583117C22semidirect
126. #14583115C22semidirect
127. #14583115C22semidirect
128. #14583113C22semidirect
129. #14583111C22semidirect
130. #14583111C22semidirect
131. #14583108C22semidirect
132. #14583107C22semidirect
133. #14583107C22semidirect
134. #14583103C22semidirect
135. #14583098C22semidirect
136. #14583097C22semidirect
137. #14583097C22semidirect
138. #14583093C22semidirect
140. #14583062C22semidirect
142. #14583061C22semidirect
145. #14583058C22semidirect
146. #14583058C22semidirect
147. #14583057C22semidirect
148. #14583056C22semidirect
149. #14583054C22semidirect
150. #14583054C22semidirect
151. #14583053C22semidirect
152. #14583053C22semidirect
160. #14583045C22semidirect
162. #14583044C22semidirect
163. #14583040C22semidirect
164. #14583039C22semidirect
167. #14582958C22semidirect
168. #14582958C22semidirect
169. #14582957C22semidirect
170. #14582957C22semidirect
171. #14582956C22semidirect
172. #14582955C22semidirect
173. #14582951C22semidirect
174. #14582921C22semidirect
175. C4⋊C8×D43C22semidirect
176. #14582906C22semidirect
179. #14582897C22semidirect
181. #14582892C22semidirect
182. #103×D43C22semidirect
186. #14582853C22semidirect
187. #14582853C22semidirect
188. C43×#533C22semidirect
190. C43×#494C22semidirect
191. C43×#492C22semidirect
192. C43×#487C22semidirect
193. C43×#486C22semidirect
194. C43×#464C22semidirect
195. C43×#464C22semidirect
196. C43×#464C22semidirect
197. C43×#464C22semidirect
200. C43×#452C22semidirect
201. C43×#452C22semidirect
202. C43×#431C22semidirect
931. #3210D43semidirect
994. #533C2×D43semidirect
1022. #494C2×D43semidirect
1024. #492C2×D43semidirect
1038. #487C2×D43semidirect
1040. #486C2×D43semidirect
1055. #464C2×D43semidirect
1056. #464C2×D43semidirect
1057. #464C2×D43semidirect
1058. #464C2×D43semidirect
1083. #452C2×D43semidirect
1084. #452C2×D43semidirect
1112. #431C2×D43semidirect
1127. C43#60835semidirect

Maximal subgroups

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

subgroupindex
#191483822
#191480262
#191457082
#191457072
#191456952
#191456922
#191456762
#191456712
#191456652
#191456602
#191456372
#191456322
#191455962
#191455942
#191455642
#191455622
#191455502
#191450832
#191450642
#191449552
#191449442
#191440862
#191440652
#191440492
#464×D432
#191439142
#191439032
#191438872
#191438692
#191432562
C43×#32102
#6083543