Finite Group Databasebeta

← #25968257

Subgroups — #25968257

Order 11008.

2048 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#19148339C211yesmaximal, characteristic, complemented
2#19147926C211yesmaximal, characteristic, complemented
3#19145708C211yesmaximal, characteristic, complemented
4#19145706C211yesmaximal, characteristic, complemented
5#19145693C211yesmaximal, characteristic, complemented
6#19145689C211yesmaximal, characteristic, complemented
7#19145676C211yesmaximal, characteristic, complemented
8#19145672C211yesmaximal, characteristic, complemented
9#19145663C211yesmaximal, characteristic, complemented
10#19145637C211yesmaximal, characteristic, complemented
11#19145633C211yesmaximal, characteristic, complemented
12#19145604C211yesmaximal, characteristic, complemented
13#19145601C211yesmaximal, characteristic, complemented
14#19145575C211yesmaximal, characteristic, complemented
15#19145572C211yesmaximal, characteristic, complemented
16#19145550C211yesmaximal, characteristic, complemented
17#19145546C211yesmaximal, characteristic, complemented
18#19145087C211yesmaximal, characteristic, complemented
19#19145064C211yesmaximal, characteristic, complemented
20#19144959C211yesmaximal, characteristic, complemented
21#19144950C211yesmaximal, characteristic, complemented
22#19144148C211yesmaximal, characteristic, complemented
23#19144131C211yesmaximal, characteristic, complemented
24#19144123C211yesmaximal, characteristic, complemented
25#19144111C211yesmaximal, characteristic, complemented
26#19143850C211yesmaximal, characteristic, complemented
27#19143838C211yesmaximal, characteristic, complemented
28#19143814C211yesmaximal, characteristic, complemented
29#452×D43C211yesmaximal, characteristic, complemented
30#19143251C211yesmaximal, characteristic, complemented
31C43×#3222C211yesmaximal, characteristic, complemented
32C22×#10621900C2211yescharacteristic
33C2×#41×D43C2211yescharacteristic
34C2×#13063357C2211yescharacteristic, complemented
35C2×#13063354C2211yescharacteristic
36C2×#13063354C2211yescharacteristic
37C2×#13063352C2211yescharacteristic, complemented
38C2×#13063346C2211yescharacteristic
39C2×#13063346C2211yescharacteristic
40C2×Q16×D43C2211yescharacteristic, complemented
41C2×SD16×D43C2211yescharacteristic, complemented
42#14583616—21no—
43#14583605—21no—
44#14583587—21no—
45#14583585—21no—
46#14583581—21no—
47#14583581—21no—
48#14583574—21no—
49#14583574—21no—
50#14583529C2211yescharacteristic, complemented
51#14583522C2211yescharacteristic, complemented
52#14583520C2211yescharacteristic, complemented
53#14583509C2211yescharacteristic, complemented
54#14583478—21no—
55#14583478—21no—
56#14583475C2211yescharacteristic
57#14583474C2211yescharacteristic, complemented
58#14583470C2211yescharacteristic
59#14583469C2211yescharacteristic
60#14583469C2211yescharacteristic
61#14583466C2211yescharacteristic
62#14583462C2211yescharacteristic
63#14583462C2211yescharacteristic
64#14583459—21no—
65#14583459—21no—
66#14583454C2211yescharacteristic, complemented
67#14583453C2211yescharacteristic, complemented
68#14583448C2211yescharacteristic
69#14583448C2211yescharacteristic
70#14583447C2211yescharacteristic
71#14583447C2211yescharacteristic
72#14583436C2211yescharacteristic, complemented
73#14583434C2211yescharacteristic, complemented
74#14583412C2211yescharacteristic
75#14583409—21no—
76#14583409—21no—
77#14583405—21no—
78#14583405—21no—
79C22⋊Q8×D43C2211yescharacteristic
80#14583381C2211yescharacteristic, complemented
81#14583375C2211yescharacteristic, complemented
82#117×D43C2211yescharacteristic
83#14583293C2211yescharacteristic, complemented
84#14583292C2211yescharacteristic, complemented
85#14583291C2211yescharacteristic, complemented
86#14583290C2211yescharacteristic, complemented
87#14583290C2211yescharacteristic, complemented
88#14583286C2211yescharacteristic, complemented
89#14583285C2211yescharacteristic, complemented
90#14583283C2211yescharacteristic, complemented
91#14583281C2211yescharacteristic, complemented
92#14583280C2211yescharacteristic, complemented
93#14583280C2211yescharacteristic, complemented
94#14583278C2211yescharacteristic, complemented
95#14583277C2211yescharacteristic, complemented
96#14583270C2211yescharacteristic, complemented
97#14583269C2211yescharacteristic, complemented
98#14583266C2211yescharacteristic, complemented
99#14583262C2211yescharacteristic, complemented
100#14583259C2211yescharacteristic, complemented
101#14583258C2211yescharacteristic, complemented
102#14583257C2211yescharacteristic, complemented
103#14583257C2211yescharacteristic, complemented
104#14583256C2211yescharacteristic, complemented
105#14583252C2211yescharacteristic, complemented
106#14583252C2211yescharacteristic, complemented
107#14583250C2211yescharacteristic, complemented
108#14583248C2211yescharacteristic, complemented
109#14583245C2211yescharacteristic, complemented
110#14583244C2211yescharacteristic, complemented
111#14583122C2211yescharacteristic, complemented
112#14583121C2211yescharacteristic, complemented
113#14583121C2211yescharacteristic, complemented
114#14583120C2211yescharacteristic, complemented
115#14583120C2211yescharacteristic, complemented
116#14583119C2211yescharacteristic, complemented
117#14583119C2211yescharacteristic, complemented
118#14583119C2211yescharacteristic, complemented
119#14583119C2211yescharacteristic, complemented
120#14583118C2211yescharacteristic, complemented
121#14583115C2211yescharacteristic, complemented
122#14583113C2211yescharacteristic, complemented
123#14583113C2211yescharacteristic, complemented
124#14583111C2211yescharacteristic, complemented
125#14583110C2211yescharacteristic, complemented
126#14583109C2211yescharacteristic, complemented
127#14583109C2211yescharacteristic, complemented
128#14583108C2211yescharacteristic, complemented
129#14583107C2211yescharacteristic, complemented
130#14583107C2211yescharacteristic, complemented
131#14583105C2211yescharacteristic, complemented
132#14583103C2211yescharacteristic, complemented
133#14583098C2211yescharacteristic, complemented
134#14583097C2211yescharacteristic, complemented
135#14583097C2211yescharacteristic, complemented
136#14583096C2211yescharacteristic, complemented
137#14583093C2211yescharacteristic, complemented
138#14583091C2211yescharacteristic, complemented
139#14583064C2211yescharacteristic, complemented
140#14583063C2211yescharacteristic
141#14583062C2211yescharacteristic, complemented
142#14583062C2211yescharacteristic, complemented
143#14583062C2211yescharacteristic, complemented
144#14583061C2211yescharacteristic
145#14583060C2211yescharacteristic, complemented
146#14583060C2211yescharacteristic, complemented
147#14583059C2211yescharacteristic
148#14583059C2211yescharacteristic
149#14583058C2211yescharacteristic, complemented
150#14583058C2211yescharacteristic, complemented
151#14583058C2211yescharacteristic, complemented
152#14583058C2211yescharacteristic, complemented
153#14583058C2211yescharacteristic, complemented
154#14583058C2211yescharacteristic, complemented
155#14583057C2211yescharacteristic, complemented
156#14583054C2211yescharacteristic, complemented
157#14583054C2211yescharacteristic, complemented
158#14583050C2211yescharacteristic, complemented
159#14583047C2211yescharacteristic, complemented
160#14583046C2211yescharacteristic
161#14583045C2211yescharacteristic, complemented
162#14583045C2211yescharacteristic, complemented
163#14583045C2211yescharacteristic, complemented
164#14583044C2211yescharacteristic
165#14583040C2211yescharacteristic, complemented
166#14583033C2211yescharacteristic, complemented
167#14582960C2211yescharacteristic, complemented
168#14582957C2211yescharacteristic, complemented
169#14582957C2211yescharacteristic, complemented
170#14582955C2211yescharacteristic, complemented
171#14582954C2211yescharacteristic, complemented
172#14582951C2211yescharacteristic, complemented
173#14582950C2211yescharacteristic, complemented
174#14582924C2211yescharacteristic, complemented
175#14582924C2211yescharacteristic, complemented
176#14582906C2211yescharacteristic, complemented
177#14582902C2211yescharacteristic, complemented
178#14582897C2211yescharacteristic
179#14582897C2211yescharacteristic
180#14582892C2211yescharacteristic
181#14582892C2211yescharacteristic
182#103×D43C2211yescharacteristic, complemented
183#102×D43C2211yescharacteristic, complemented
184#14582861C2211yescharacteristic
185C22⋊C8×D43C2211yescharacteristic
186#14582856C2211yescharacteristic, complemented
187#14582853C2211yescharacteristic, complemented
188C43×#541C2211yescharacteristic, complemented
189C43×#535C2211yescharacteristic
190C43×#497C2211yescharacteristic, complemented
191C43×#492C2211yescharacteristic, complemented
192C43×#490C2211yescharacteristic, complemented
193C43×#488C2211yescharacteristic, complemented
194C43×#464C2211yescharacteristic, complemented
195C43×#464C2211yescharacteristic, complemented
196C43×#460C2211yescharacteristic, complemented
197C43×#460C2211yescharacteristic, complemented
198C43×#452C2211yescharacteristic
199C43×#452C2211yescharacteristic
200C43×#450C2211yescharacteristic, complemented
201C43×#450C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×#10621898—21no—
206C2×#10621898C2311yescharacteristic
207C2×#10621900—21no—
208C2×#10621900—21no—
209C2×#10621900—21no—
210C2×#10621900—42no—
211C2×#10621900—42no—
212C2×#10621900C2311yescharacteristic
213C2×#10621900C2311yescharacteristic
214C2×#10621900C2311yescharacteristic
215C2×#10621900C2311yescharacteristic
216C2×#10621900C2311yescharacteristic
217#41×D43—42no—
218#41×D43—42no—
219C22×Dic86C2311yescharacteristic
220C2×Q8×D43C2311yescharacteristic
221C2×Q8×D43C2311yescharacteristic
222C22×C22⋊D43—21no—
223C2×D4×D43—21no—
224C2×D4×D43C2311yescharacteristic
225C23×Dic43—21no—
226C22×C4×D43—21no—
227C22×C4×D43C2311yescharacteristic
228#13063357—42no—
229#13063354—42no—
230#13063354—42no—
231#13063352—42no—
232#13063346—42no—
233#13063346—42no—
234C2×Dic172C2311yescharacteristic
235C2×Dic172C2311yescharacteristic
236C2×Dic172C2311yescharacteristic
237C2×#10621885C2311yescharacteristic
238C2×#10621885C2311yescharacteristic
239C2×#10621885C2311yescharacteristic
240C2×#10621885C2311yescharacteristic
241C2×#10621885C2311yescharacteristic
242C2×#10621885C2311yescharacteristic
243C2×#10621885C2311yescharacteristic
244Q16×D43—42no—
245C2×#10621873C2311yescharacteristic
246C2×#10621873C2311yescharacteristic
247C2×#10621873C2311yescharacteristic
248C2×#10621873C2311yescharacteristic
249C2×#10621883C2311yescharacteristic
250C2×#10621883C2311yescharacteristic
251C2×#10621883C2311yescharacteristic
252C2×#10621884C2311yescharacteristic
253C2×#10621884C2311yescharacteristic
254C2×#10621884C2311yescharacteristic
255SD16×D43—42no—
256C2×D344C2311yescharacteristic
257C2×#10621882C2311yescharacteristic
258C2×#10621882C2311yescharacteristic
259C2×#10621882C2311yescharacteristic
260C2×#10621872C2311yescharacteristic
261C2×#10621872C2311yescharacteristic
262C2×C8×D43C2311yescharacteristic
263C2×C8×D43C2311yescharacteristic
264#13063325C2311yescharacteristic
265#13063325C2311yescharacteristic
266#13063325C2311yescharacteristic
267#13063324—21no—
268#13063324C2311yescharacteristic
269#13063323C2311yescharacteristic
270#13063323C2311yescharacteristic
271#13063323C2311yescharacteristic
272#13063321C2311yescharacteristic
273#13063321C2311yescharacteristic
274#13063320—21no—
275#13063320—21no—
276#13063320—21no—
277#13063320—21no—
278#13063318—21no—
279#13063318—21no—
280#13063316—21no—
281#13063316—21no—
282#13063316C2311yescharacteristic
283#13063315—21no—
284#13063315—21no—
285#13063315—21no—
286#13063314C2311yescharacteristic
287#13063313C2311yescharacteristic
288#13063313C2311yescharacteristic
289#13063313C2311yescharacteristic
290#13063312C2311yescharacteristic
291#13063312C2311yescharacteristic
292#13063312C2311yescharacteristic
293#13063312C2311yescharacteristic
294#13063311—21no—
295#13063311—21no—
296#13063310—21no—
297#13063310—21no—
298#13063310—21no—
299#13063310—21no—
300#13063310—21no—
301#13063309—21no—
302#13063309—21no—
303#13063307—21no—
304#13063307—21no—
305#13063307—21no—
306#13063307—21no—
307#13063307—21no—
308#13063307—21no—
309#13063306—21no—
310#13063306—21no—
311#13063305—21no—
312#13063305—21no—
313#13063305—21no—
314#13063305—21no—
315#13063305—21no—
316#13063305C2311yescharacteristic
317#13063304—21no—
318#13063304—21no—
319#13063304C2311yescharacteristic
320#13063303—21no—
321#13063303—21no—
322#13063303—21no—
323#13063303—21no—
324#13063303—21no—
325#13063303—21no—
326#13063302—21no—
327#13063302—21no—
328#13063302—21no—
329#13063302—21no—
330#13063302—21no—
331#13063301C2311yescharacteristic
332#13063301C2311yescharacteristic
333#13063300C2311yescharacteristic
334#13063299C2311yescharacteristic
335#13063298—21no—
336#13063298—21no—
337#13063298—21no—
338#13063298—21no—
339#13063297—21no—
340#13063297—21no—
341#13063297—21no—
342#13063297—21no—
343#13063296—21no—
344#13063296—21no—
345#13063296—21no—
346#13063296—21no—
347#13063296—21no—
348#13063296—21no—
349#13063295—21no—
350#13063294—21no—
351#13063294—21no—
352#13063293—21no—
353#13063293—21no—
354#13063293—21no—
355#13063293—21no—
356Q8×Dic43C2311yescharacteristic
357Q8×Dic43C2311yescharacteristic
358C4×Dic86—21no—
359C4×Dic86—21no—
360C4×Dic86C2311yescharacteristic
361#13063290—21no—
362#13063290—21no—
363#13063290C2311yescharacteristic
364C4×D172—21no—
365C4×D172—21no—
366C4×D172C2311yescharacteristic
367D4×Dic43—21no—
368D4×Dic43—21no—
369D4×Dic43—21no—
370D4×Dic43—21no—
371#13063287—21no—
372#13063287—21no—
373#13063287—21no—
374#13063287C2311yescharacteristic
375(C22⋊D43)⋊C4—21no—
376(C22⋊D43)⋊C4—21no—
377(C22⋊D43)⋊C4—21no—
378(C22⋊D43)⋊C4—21no—
379(C22⋊D43)⋊C4—21no—
380#13063284C2311yescharacteristic
381#13063283—21no—
382#13063283—21no—
383#13063283—21no—
384#13063283D411yescharacteristic
385#13063283D411yescharacteristic
386#13063283C2311yescharacteristic
387#13063282—21no—
388#13063282—21no—
389#13063282—21no—
390#13063282—21no—
391#13063282C2311yescharacteristic
392#13063282C2311yescharacteristic
393#13063281D411yescharacteristic
394#13063281D411yescharacteristic
395C4⋊C4×D43—21no—
396C4⋊C4×D43—21no—
397C4⋊C4×D43D411yescharacteristic
398C4⋊C4×D43D411yescharacteristic
399C4⋊C4×D43C2311yescharacteristic
400C22⋊C4×D43—21no—
401C22⋊C4×D43D411yescharacteristic
402C22⋊C4×D43D411yescharacteristic
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#13063250C2311yescharacteristic
416#13063250C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063249C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063248C2311yescharacteristic
424#13063248C2311yescharacteristic
425#13063247C2311yescharacteristic
426#13063247C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063246C2311yescharacteristic
431#13063246C2311yescharacteristic
432#13063246C2311yescharacteristic
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#13063235C2311yescharacteristic
443#13063235C2311yescharacteristic
444C4×C43⋊C8C2311yescharacteristic
445C8×Dic43C2311yescharacteristic
446C8×Dic43C2311yescharacteristic
447C2×#41×C43C2311yescharacteristic
448C22×D4×C43C2311yescharacteristic
449C2×Q16×C43C2311yescharacteristic
450C2×Q16×C43C2311yescharacteristic
451C2×SD16×C43C2311yescharacteristic
452C2×SD16×C43C2311yescharacteristic
453C2×SD16×C43C2311yescharacteristic
454C2×SD16×C43C2311yescharacteristic
455C2×SD16×C43C2311yescharacteristic
456C2×SD16×C43C2311yescharacteristic
457C4⋊Q8×C43C2311yescharacteristic
458#127×C43C2311yescharacteristic
459#127×C43C2311yescharacteristic
460#126×C43—21no—
461#126×C43—21no—
462#125×C43—21no—
463#125×C43—21no—
464#125×C43C2311yescharacteristic
465#124×C43C2311yescharacteristic
466#124×C43C2311yescharacteristic
467C22⋊Q8×C43C2311yescharacteristic
468C22⋊Q8×C43C2311yescharacteristic
469#121×C43—21no—
470#121×C43—21no—
471#120×C43—21no—
472#120×C43—21no—
473C4×Q8×C43C2311yescharacteristic
474C4×Q8×C43C2311yescharacteristic
475#117×C43C2311yescharacteristic
476C4⋊C8×C43C2311yescharacteristic
477C4⋊C8×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#102×C43C2311yescharacteristic
481#102×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484#102×C43C2311yescharacteristic
485#102×C43C2311yescharacteristic
486C22⋊C8×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488#97×C43C2311yescharacteristic
489C4×C8×C43C2311yescharacteristic
490C24×C43—21no—
491C23×D43—21no—
492C23×D43C2×D411yescharacteristic
493#41×C43—41no—
494#41×C43—41no—
495C2×Q8×C43C2411yescharacteristic
496C2×Q8×C43C2411yescharacteristic
497C2×Q8×C43C2411yescharacteristic
498C2×D4×C43—21no—
499C2×D4×C43—21no—
500C2×D4×C43—21no—
501C2×D4×C43—21no—
502C2×D4×C43—21no—
503C2×D4×C43—21no—
504C2×D4×C43—41no—
505C2×D4×C43—41no—
506C2×D4×C43C2411yescharacteristic
507C2×D4×C43C2411yescharacteristic
508C2×D4×C43C2411yescharacteristic
509C22×C4×C43—21no—
510C22×C4×C43C2411yescharacteristic
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43—21no—
520C2×C22⋊D43—21no—
521C2×C22⋊D43—21no—
522C2×C22⋊D43—21no—
523C2×C22⋊D43—44no—
524C22×Dic43—21no—
525C22×Dic43—21no—
526C22×Dic43—21no—
527C22×Dic43—21no—
528C22×Dic43—21no—
529C22×Dic43—21no—
530C22×Dic43—44no—
531C22×Dic43C2×D411yescharacteristic
532#10621902—22no—
533#10621902—22no—
534#10621902—41no—
535#10621902—41no—
536Q8×D43—22no—
537Q8×D43—22no—
538Q8×D43—22no—
539Q8×D43—22no—
540#10621900—22no—
541#10621900—22no—
542#10621900—22no—
543#10621900—22no—
544#10621900—41no—
545#10621900—41no—
546#10621900—41no—
547#10621900—41no—
548#10621900—41no—
549#10621900—41no—
550#10621900—44no—
551#10621900—44no—
552#10621900—44no—
553D4×D43—22no—
554D4×D43—22no—
555D4×D43—44no—
556#10621898—41no—
557#10621898—41no—
558#10621898—44no—
559C2×D172—21no—
560C2×D172—21no—
561C2×D172—21no—
562C2×D172C2411yescharacteristic
563C2×D172C2411yescharacteristic
564C2×C4×D43—22no—
565C2×C4×D43—22no—
566C2×C4×D43—21no—
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—44no—
575C2×C4×D43C2×D411yescharacteristic
576C2×C4×D43C2×D411yescharacteristic
577C2×C4×D43C2×D411yescharacteristic
578C2×C4×D43C2×D411yescharacteristic
579C2×C4×D43C2×D411yescharacteristic
580C2×C4×D43C2×D411yescharacteristic
581C2×C4×D43C2411yescharacteristic
582C2×C4×D43C2411yescharacteristic
583C2×Dic86—21no—
584C2×Dic86—21no—
585C2×Dic86—21no—
586C2×Dic86—21no—
587C2×Dic86—21no—
588C2×Dic86—41no—
589C2×Dic86—41no—
590C2×Dic86C2411yescharacteristic
591C2×Dic86C2411yescharacteristic
592C2×Dic86C2411yescharacteristic
593C2×Dic86C2411yescharacteristic
594Q16×C43—41no—
595Q16×C43—41no—
596SD16×C43—41no—
597SD16×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×C43C2×D411yescharacteristic
615C4⋊C4×C43C2×D411yescharacteristic
616C4⋊C4×C43C2411yescharacteristic
617C4⋊C4×C43C2411yescharacteristic
618C22⋊C4×C43—21no—
619C22⋊C4×C43—21no—
620C22⋊C4×C43—21no—
621C22⋊C4×C43—21no—
622C22⋊C4×C43—21no—
623C22⋊C4×C43—21no—
624C22⋊C4×C43C2×D411yescharacteristic
625C22⋊C4×C43C2×D411yescharacteristic
626C42×C43—21no—
627C42×C43—21no—
628C42×C43C2411yescharacteristic
629C42×C43C2411yescharacteristic
630C22⋊Dic43—21no—
631C22⋊Dic43—21no—
632C22⋊Dic43—21no—
633C22⋊Dic43—21no—
634C22⋊Dic43—21no—
635C22⋊Dic43—21no—
636C22⋊Dic43—21no—
637C22⋊Dic43—21no—
638C22⋊Dic43—21no—
639C22⋊Dic43C2×D411yescharacteristic
640C22⋊Dic43C2×D411yescharacteristic
641#10621885—41no—
642#10621885—41no—
643#10621885—41no—
644#10621885—41no—
645#10621885—41no—
646#10621885—41no—
647#10621885—41no—
648#10621884—41no—
649#10621884—41no—
650#10621884—41no—
651#10621883—41no—
652#10621883—41no—
653#10621883—41no—
654#10621882—41no—
655#10621882—41no—
656#10621882—41no—
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)⋊C4C2×D411yescharacteristic
674(C2×D43)⋊C4C2×D411yescharacteristic
675(C2×D43)⋊C4C2×D411yescharacteristic
676(C2×D43)⋊C4C2×D411yescharacteristic
677C4⋊Dic43—21no—
678C4⋊Dic43—21no—
679C4⋊Dic43—21no—
680C4⋊Dic43—21no—
681C4⋊Dic43—21no—
682C4⋊Dic43—21no—
683C4⋊Dic43—21no—
684C4⋊Dic43—21no—
685C4⋊Dic43—21no—
686C4⋊Dic43C2×D411yescharacteristic
687C4⋊Dic43C2×D411yescharacteristic
688C4⋊Dic43C2411yescharacteristic
689C4⋊Dic43C2411yescharacteristic
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—
725Dic172—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×C43—21no—
738C23×C43—42no—
739C23×C43—81no—
740C23×C43—81no—
741C23×C43C22×D411yescharacteristic
742C22×D43—22no—
743C22×D43—21no—
744C22×D43—21no—
745C22×D43—41no—
746C22×D43—41no—
747C22×D43—42no—
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—
758D4×C43—21no—
759D4×C43—21no—
760D4×C43—21no—
761D4×C43—21no—
762D4×C43—21no—
763D4×C43—21no—
764D4×C43—42no—
765D4×C43—42no—
766D4×C43—81no—
767D4×C43—81no—
768D4×C43—81no—
769D4×C43—81no—
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—42no—
778C2×C4×C43C22×D411yescharacteristic
779C2×C4×C43C22×D411yescharacteristic
780C2×C4×C43C22×D411yescharacteristic
781C2×C4×C43C22×D411yescharacteristic
782C2×C4×C43C22×D411yescharacteristic
783C2×C4×C43C2511yescharacteristic
784C22⋊D43—42no—
785C22⋊D43—42no—
786C22⋊D43—42no—
787C22⋊D43—42no—
788C22⋊D43—42no—
789C22⋊D43—42no—
790C22⋊D43—42no—
791C22⋊D43—81no—
792C22⋊D43—81no—
793C22⋊D43—81no—
794C22⋊D43—81no—
795C22⋊D43—81no—
796C2×Dic43—22no—
797C2×Dic43—21no—
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×Dic43—42no—
807C2×Dic43—42no—
808C2×Dic43—42no—
809C2×Dic43C22×D411yescharacteristic
810C2×Dic43C22×D411yescharacteristic
811C2×Dic43C22×D411yescharacteristic
812C2×Dic43C22×D411yescharacteristic
813C2×Dic43C22×D411yescharacteristic
814C2×Dic43C22×D411yescharacteristic
815D172—21no—
816D172—21no—
817D172—21no—
818D172—21no—
819D172—42no—
820D172—42no—
821D172—42no—
822C4×D43—22no—
823C4×D43—21no—
824C4×D43—21no—
825C4×D43—22no—
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—81no—
836C4×D43—81no—
837C4×D43—81no—
838C4×D43H(5,𝔽2)12yes—
839C4×D43H(5,𝔽2)12yes—
840Dic86—21no—
841Dic86—21no—
842Dic86—21no—
843Dic86—21no—
844Dic86—21no—
845Dic86—21no—
846Dic86—21no—
847Dic86—21no—
848Dic86—42no—
849Dic86—42no—
850Dic86—42no—
851Dic86—81no—
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#60816—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×C43—41no—
872C22×C43—41no—
873C22×C43—41no—
874C22×C43—84no—
875C22×C43C23×D411yescharacteristic
876C2×D43—21no—
877C2×D43—21no—
878C2×D43—21no—
879C2×D43—21no—
880C2×D43—21no—
881C2×D43—41no—
882C2×D43—41no—
883C2×D43—41no—
884C2×D43—41no—
885C2×D43—41no—
886C2×D43—41no—
887C2×D43—82no—
888C2×D43—84no—
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×C43C2×H(5,𝔽2)11yescharacteristic
901C4×C43C2×H(5,𝔽2)11yescharacteristic
902Dic43—21no—
903Dic43—21no—
904Dic43—21no—
905Dic43—21no—
906Dic43—21no—
907Dic43—41no—
908Dic43—41no—
909Dic43—41no—
910Dic43—41no—
911Dic43—41no—
912Dic43—41no—
913Dic43#53512yes—
914#3495—431no—
915#3449—431no—
916#3225—431no—
917#3225—431no—
918#3224—431no—
919#3224—431no—
920#3223—431no—
921#3223—431no—
922#3222—431no—
923#3222D4311yescharacteristic, complemented
924#3219—431no—
925#3219—431no—
926#3216—431no—
927#3216—431no—
928#3212—431no—
929#3212—431no—
930#3210—431no—
931#3210—431no—
932#3156—431no—
933#3154—431no—
934#3137—431no—
935#3136—431no—
936#3046—431no—
937#3045—431no—
938#3044—431no—
939#3043—431no—
940#3007—431no—
941#3005—431no—
942#3002—431no—
943C2×#452—431no—
944#2924—431no—
945C2×C43—41no—
946C2×C43—81no—
947C2×C43—81no—
948C2×C43—81no—
949C2×C43C2×#53511yescharacteristic
950C2×C43#358411yescharacteristic
951C2×C43#358611yescharacteristic
952D43—22no—
953D43—41no—
954D43—81no—
955D43—81no—
956C22×#41—431no—
957C22×#41—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#556—861no—
967#554—861no—
968#552—861no—
969#552—861no—
970#552—861no—
971#552—861no—
972#551—861no—
973#551—861no—
974#544—431no—
975#542—431no—
976#542—431no—
977#541—431no—
978#541C2×D4311yescharacteristic, complemented
979#537—861no—
980#537—861no—
981#536—431no—
982#536—431no—
983#536—431no—
984#536—431no—
985#536—431no—
986#535—431no—
987#535—431no—
988#535—431no—
989#535C2×D4311yescharacteristic
990#534—861no—
991#534—861no—
992#533—431no—
993#533—431no—
994#532—431no—
995#532—431no—
996#532—431no—
997#532—431no—
998#529—431no—
999#529—431no—
1000#525—431no—
1001#525—861no—
1002#525—861no—
1003#525—861no—
1004#525—861no—
1005C2×C22⋊Q8—431no—
1006#520—431no—
1007#519—431no—
1008C2×#117—431no—
1009#497—431no—
1010#497—431no—
1011#497—431no—
1012#497—431no—
1013#497—431no—
1014#497C2×D4311yescharacteristic, complemented
1015#496—431no—
1016#496—431no—
1017#495—431no—
1018#495—431no—
1019#495—431no—
1020#495—431no—
1021#494—431no—
1022#494—431no—
1023#492—431no—
1024#492C2×D4311yescharacteristic, complemented
1025#491—431no—
1026#491—431no—
1027#490—431no—
1028#490C2×D4311yescharacteristic, complemented
1029#489—431no—
1030#489—431no—
1031#489—431no—
1032#489—431no—
1033#488—431no—
1034#488—431no—
1035#488—431no—
1036#488C2×D4311yescharacteristic, complemented
1037#487—431no—
1038#487—431no—
1039#486—431no—
1040#486—431no—
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#464C2×D4311yescharacteristic, complemented
1052#464C2×D4311yescharacteristic, complemented
1053#463—431no—
1054#463—431no—
1055#463—431no—
1056#463—431no—
1057#462—431no—
1058#462—431no—
1059#462—431no—
1060#462—431no—
1061#462—431no—
1062#462—431no—
1063#461—431no—
1064#461—431no—
1065#460—431no—
1066#460—431no—
1067#460—431no—
1068#460—431no—
1069#460C2×D4311yescharacteristic, complemented
1070#460C2×D4311yescharacteristic, complemented
1071#459—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#452—431no—
1082#452—431no—
1083#452—431no—
1084#452—431no—
1085#452—431no—
1086#452—431no—
1087#452—431no—
1088#452—431no—
1089#452C2×D4311yescharacteristic
1090#452C2×D4311yescharacteristic
1091#451—431no—
1092#451—431no—
1093#451—431no—
1094#450—431no—
1095#450C2×D4311yescharacteristic, complemented
1096#450C2×D4311yescharacteristic, complemented
1097#449—431no—
1098#449—431no—
1099#449—431no—
1100#449—431no—
1101#449—431no—
1102#449—431no—
1103#448—431no—
1104#447—431no—
1105#433—431no—
1106#433—431no—
1107#433—431no—
1108#433C2×D4311yescharacteristic, complemented
1109#432—431no—
1110#432—431no—
1111#431—431no—
1112#431—431no—
1113#424—431no—
1114#424—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#407—431no—
1124C2×C22⋊C8—431no—
1125#405—431no—
1126#405—431no—
1127C43#6081611yescharacteristic, complemented, Sylow
1128C2×#41—431no—
1129C2×#41—431no—
1130C2×#41—431no—
1131C2×#41—431no—
1132C2×#41—431no—
1133C2×#41—431no—
1134C2×#41—431no—
1135C2×#41—431no—
1136C2×#41—861no—
1137C2×#41—861no—
1138C2×#41—861no—
1139C2×#41—861no—
1140C2×#41—1722no—
1141C2×#41—1722no—
1142C2×#41—1722no—
1143C2×#41—1722no—
1144C2×#41C22×D4311yescharacteristic
1145C22×Q8—431no—
1146C22×Q8—431no—
1147C22×Q8—431no—
1148C22×D4—431no—
1149C22×D4—861no—
1150C22×D4—861no—
1151C22×D4C22×D4311yescharacteristic
1152C23×C4—431no—
1153C23×C4—861no—
1154C23×C4—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—431no—
1170C2×Q16—431no—
1171C2×Q16—1722no—
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—1722no—
1185C2×SD16C22×D4311yescharacteristic
1186C2×SD16C22×D4311yescharacteristic
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—431no—
1204C4⋊Q8—431no—
1205C4⋊Q8—431no—
1206C4⋊Q8—861no—
1207C4⋊Q8C22×D4311yescharacteristic
1208#127—431no—
1209#127—431no—
1210#127C22×D4311yescharacteristic
1211#127C22×D4311yescharacteristic
1212#126—21no—
1213#126—21no—
1214#126—861no—
1215#126—861no—
1216#126—861no—
1217#126—861no—
1218#126—861no—
1219#126—861no—
1220#125—21no—
1221#125—21no—
1222#125—431no—
1223#125—861no—
1224#125—861no—
1225#125—861no—
1226#125—861no—
1227#125—861no—
1228#125C22×D4311yescharacteristic
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—861no—
1238#124—861no—
1239#124C22×D4311yescharacteristic
1240#124C22×D4311yescharacteristic
1241#123—861no—
1242#123—861no—
1243#123—861no—
1244#123—861no—
1245#123—861no—
1246#123—861no—
1247#123—861no—
1248#123—861no—
1249#123—861no—
1250#123—861no—
1251#123—861no—
1252#123—861no—
1253#123—861no—
1254#123—861no—
1255#123—861no—
1256C22⋊Q8—431no—
1257C22⋊Q8—431no—
1258C22⋊Q8—431no—
1259C22⋊Q8—431no—
1260C22⋊Q8—861no—
1261C22⋊Q8—861no—
1262C22⋊Q8—861no—
1263C22⋊Q8—861no—
1264C22⋊Q8—861no—
1265C22⋊Q8—861no—
1266C22⋊Q8—861no—
1267C22⋊Q8—861no—
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⋊Q8C22×D4311yescharacteristic
1279C22⋊Q8C22×D4311yescharacteristic
1280#121—21no—
1281#121—21no—
1282#121—431no—
1283#121—431no—
1284#121—861no—
1285#121—861no—
1286#121—861no—
1287#121—861no—
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#120—21no—
1299#120—21no—
1300#120—861no—
1301#120—861no—
1302#120—861no—
1303#120—861no—
1304#120—861no—
1305#120—861no—
1306#120—861no—
1307C4×Q8—431no—
1308C4×Q8—431no—
1309C4×Q8—431no—
1310C4×Q8—431no—
1311C4×Q8—861no—
1312C4×Q8—861no—
1313C4×Q8—861no—
1314C4×Q8—861no—
1315C4×Q8C22×D4311yescharacteristic
1316C4×Q8C22×D4311yescharacteristic
1317C4×D4—431no—
1318C4×D4—431no—
1319C4×D4—861no—
1320C4×D4—861no—
1321C4×D4—861no—
1322C4×D4—861no—
1323C4×D4—861no—
1324C4×D4—861no—
1325C4×D4—861no—
1326C4×D4—861no—
1327C4×D4—861no—
1328C4×D4—861no—
1329C4×D4—861no—
1330C4×D4—861no—
1331C4×D4—861no—
1332C4×D4—861no—
1333#117—431no—
1334#117—431no—
1335#117—431no—
1336#117—431no—
1337#117—431no—
1338#117—431no—
1339#117—431no—
1340#117—431no—
1341#117—861no—
1342#117—861no—
1343#117—861no—
1344#117—861no—
1345#117—861no—
1346#117—861no—
1347#117—861no—
1348#117C22×D4311yescharacteristic
1349C2×C4⋊C4—431no—
1350C2×C4⋊C4—431no—
1351C2×C4⋊C4—431no—
1352C2×C4⋊C4—861no—
1353C2×C4⋊C4—861no—
1354C2×C22⋊C4—431no—
1355C2×C22⋊C4—431no—
1356C2×C22⋊C4—861no—
1357C2×C42—431no—
1358C2×C42—431no—
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#103—431no—
1380#103—431no—
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#102C22×D4311yescharacteristic
1394#102C22×D4311yescharacteristic
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#97C22×D4311yescharacteristic
1411C4×C8—431no—
1412C4×C8—431no—
1413C4×C8—431no—
1414C4×C8C22×D4311yescharacteristic
1415C24—21no—
1416C24—431no—
1417C24—861no—
1418#41—41no—
1419#41—41no—
1420#41—862no—
1421#41—862no—
1422#41—862no—
1423#41—862no—
1424#41—862no—
1425#41—862no—
1426#41—1721no—
1427#41—1721no—
1428#41—1724no—
1429#41—1721no—
1430#41—1721no—
1431#41—1721no—
1432#41—1721no—
1433#41—1721no—
1434#41—1721no—
1435#41—1724no—
1436#41—1724no—
1437#41—1724no—
1438#41—1721no—
1439#41—1721no—
1440C2×Q8—431no—
1441C2×Q8—431no—
1442C2×Q8—431no—
1443C2×Q8—431no—
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—861no—
1453C2×Q8—1721no—
1454C2×Q8—1721no—
1455C2×Q8C23×D4311yescharacteristic
1456C2×Q8C23×D4311yescharacteristic
1457C2×Q8C23×D4311yescharacteristic
1458C2×D4—21no—
1459C2×D4—21no—
1460C2×D4—21no—
1461C2×D4—21no—
1462C2×D4—21no—
1463C2×D4—21no—
1464C2×D4—41no—
1465C2×D4—41no—
1466C2×D4—431no—
1467C2×D4—431no—
1468C2×D4—861no—
1469C2×D4—861no—
1470C2×D4—861no—
1471C2×D4—862no—
1472C2×D4—862no—
1473C2×D4—861no—
1474C2×D4—861no—
1475C2×D4—861no—
1476C2×D4—861no—
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—1724no—
1486C2×D4—1724no—
1487C2×D4C23×D4311yescharacteristic
1488C2×D4C23×D4311yescharacteristic
1489C2×D4C23×D4311yescharacteristic
1490C22×C4—21no—
1491C22×C4—431no—
1492C22×C4—431no—
1493C22×C4—431no—
1494C22×C4—431no—
1495C22×C4—431no—
1496C22×C4—431no—
1497C22×C4—431no—
1498C22×C4—431no—
1499C22×C4—431no—
1500C22×C4—862no—
1501C22×C4—862no—
1502C22×C4—861no—
1503C22×C4—861no—
1504C22×C4—861no—
1505C22×C4—861no—
1506C22×C4—861no—
1507C22×C4—861no—
1508C22×C4—861no—
1509C22×C4—861no—
1510C22×C4—861no—
1511C22×C4—861no—
1512C22×C4—861no—
1513C22×C4—861no—
1514C22×C4—861no—
1515C22×C4—861no—
1516C22×C4—1724no—
1517C22×C4—1724no—
1518C22×C4C23×D4311yescharacteristic
1519Q16—41no—
1520Q16—41no—
1521Q16—1721no—
1522Q16—1721no—
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—41no—
1536SD16—41no—
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—431no—
1572C4⋊C4—431no—
1573C4⋊C4—431no—
1574C4⋊C4—431no—
1575C4⋊C4—431no—
1576C4⋊C4—431no—
1577C4⋊C4—431no—
1578C4⋊C4—431no—
1579C4⋊C4—861no—
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⋊C4—861no—
1601C4⋊C4—861no—
1602C4⋊C4D4×D4311yescharacteristic
1603C4⋊C4D4×D4311yescharacteristic
1604C4⋊C4C23×D4311yescharacteristic
1605C4⋊C4C23×D4311yescharacteristic
1606C22⋊C4—21no—
1607C22⋊C4—21no—
1608C22⋊C4—21no—
1609C22⋊C4—21no—
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—431no—
1613C22⋊C4—431no—
1614C22⋊C4—431no—
1615C22⋊C4—431no—
1616C22⋊C4—431no—
1617C22⋊C4—431no—
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—
1643C22⋊C4D4×D4311yescharacteristic
1644C22⋊C4D4×D4311yescharacteristic
1645C42—21no—
1646C42—21no—
1647C42—431no—
1648C42—431no—
1649C42—431no—
1650C42—431no—
1651C42—431no—
1652C42—431no—
1653C42—861no—
1654C42—861no—
1655C42—861no—
1656C42—861no—
1657C42—861no—
1658C42C23×D4311yescharacteristic
1659C42C23×D4311yescharacteristic
1660C23—21no—
1661C23—21no—
1662C23—21no—
1663C23—42no—
1664C23—81no—
1665C23—81no—
1666C23—431no—
1667C23—431no—
1668C23—862no—
1669C23—861no—
1670C23—861no—
1671C23—3441no—
1672C23—3441no—
1673C23—1721no—
1674C23—1721no—
1675C23—1722no—
1676C23C2×D4×D4311yescharacteristic
1677Q8—21no—
1678Q8—21no—
1679Q8—21no—
1680Q8—21no—
1681Q8—21no—
1682Q8—21no—
1683Q8—861no—
1684Q8—861no—
1685Q8—861no—
1686Q8—861no—
1687Q8—861no—
1688Q8—861no—
1689Q8—861no—
1690Q8—861no—
1691Q8—3441no—
1692Q8—3441no—
1693Q8—1722no—
1694Q8—1722no—
1695Q8—1722no—
1696D4—21no—
1697D4—21no—
1698D4—21no—
1699D4—21no—
1700D4—21no—
1701D4—21no—
1702D4—42no—
1703D4—42no—
1704D4—81no—
1705D4—81no—
1706D4—81no—
1707D4—81no—
1708D4—861no—
1709D4—861no—
1710D4—861no—
1711D4—861no—
1712D4—3441no—
1713D4—3441no—
1714D4—3441no—
1715D4—3441no—
1716D4—3441no—
1717D4—1722no—
1718D4—1722no—
1719D4—1722no—
1720D4—1722no—
1721D4—1722no—
1722D4—1722no—
1723D4—1722no—
1724D4—1722no—
1725D4—1722no—
1726D4—1722no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—42no—
1735C2×C4—431no—
1736C2×C4—432no—
1737C2×C4—432no—
1738C2×C4—431no—
1739C2×C4—431no—
1740C2×C4—431no—
1741C2×C4—431no—
1742C2×C4—431no—
1743C2×C4—862no—
1744C2×C4—862no—
1745C2×C4—862no—
1746C2×C4—861no—
1747C2×C4—861no—
1748C2×C4—861no—
1749C2×C4—861no—
1750C2×C4—861no—
1751C2×C4—861no—
1752C2×C4—861no—
1753C2×C4—861no—
1754C2×C4—3441no—
1755C2×C4—3441no—
1756C2×C4—3441no—
1757C2×C4—1721no—
1758C2×C4—1721no—
1759C2×C4—1721no—
1760C2×C4—1721no—
1761C2×C4—1722no—
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—41no—
1796C22—41no—
1797C22—41no—
1798C22—84no—
1799C22—432no—
1800C22—861no—
1801C22—861no—
1802C22—861no—
1803C22—861no—
1804C22—861no—
1805C22—3442no—
1806C22—3444no—
1807C22—1721no—
1808C22—1721no—
1809C22—1721no—
1810C22—1721no—
1811C22—1721no—
1812C22—1721no—
1813C22C22×D4×D4311yescharacteristic
1814C4—21no—
1815C4—21no—
1816C4—21no—
1817C4—21no—
1818C4—21no—
1819C4—41no—
1820C4—41no—
1821C4—41no—
1822C4—41no—
1823C4—41no—
1824C4—432no—
1825C4—861no—
1826C4—861no—
1827C4—861no—
1828C4—861no—
1829C4—861no—
1830C4—1721no—
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—81no—
1842C2—862no—
1843C2—3441no—
1844C2—3441no—
1845C2—1721no—
1846C2#535×D4311yescharacteristic
1847C2#1914936711yescharacteristic
1848C2#1914937711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3222C2
socleC22×C43C23×D4
hypercenter#3222D43
hypocenterC43#60816
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3222

Complements

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

NH ≅ G/Ntype
1. #19148339C2semidirect
2. #19147926C2semidirect
3. #19145708C2semidirect
4. #19145706C2semidirect
5. #19145693C2semidirect
6. #19145689C2semidirect
7. #19145676C2semidirect
8. #19145672C2semidirect
9. #19145663C2semidirect
10. #19145637C2semidirect
11. #19145633C2semidirect
12. #19145604C2semidirect
13. #19145601C2semidirect
14. #19145575C2semidirect
15. #19145572C2semidirect
16. #19145550C2semidirect
17. #19145546C2semidirect
18. #19145087C2semidirect
19. #19145064C2semidirect
20. #19144959C2semidirect
21. #19144950C2semidirect
22. #19144148C2semidirect
23. #19144131C2semidirect
24. #19144123C2semidirect
25. #19144111C2semidirect
26. #19143850C2semidirect
27. #19143838C2semidirect
28. #19143814C2semidirect
29. #452×D43C2semidirect
30. #19143251C2semidirect
31. C43×#3222C2semidirect
34. C2×#13063357C22semidirect
37. C2×#13063352C22semidirect
40. C2×Q16×D43C22semidirect
41. C2×SD16×D43C22semidirect
50. #14583529C22semidirect
51. #14583522C22semidirect
52. #14583520C22semidirect
53. #14583509C22semidirect
57. #14583474C22semidirect
66. #14583454C22semidirect
67. #14583453C22semidirect
72. #14583436C22semidirect
73. #14583434C22semidirect
80. #14583381C22semidirect
81. #14583375C22semidirect
83. #14583293C22semidirect
84. #14583292C22semidirect
85. #14583291C22semidirect
86. #14583290C22semidirect
87. #14583290C22semidirect
88. #14583286C22semidirect
89. #14583285C22semidirect
90. #14583283C22semidirect
91. #14583281C22semidirect
92. #14583280C22semidirect
93. #14583280C22semidirect
94. #14583278C22semidirect
95. #14583277C22semidirect
96. #14583270C22semidirect
97. #14583269C22semidirect
98. #14583266C22semidirect
99. #14583262C22semidirect
100. #14583259C22semidirect
101. #14583258C22semidirect
102. #14583257C22semidirect
103. #14583257C22semidirect
104. #14583256C22semidirect
105. #14583252C22semidirect
106. #14583252C22semidirect
107. #14583250C22semidirect
108. #14583248C22semidirect
109. #14583245C22semidirect
110. #14583244C22semidirect
111. #14583122C22semidirect
112. #14583121C22semidirect
113. #14583121C22semidirect
114. #14583120C22semidirect
115. #14583120C22semidirect
116. #14583119C22semidirect
117. #14583119C22semidirect
118. #14583119C22semidirect
119. #14583119C22semidirect
120. #14583118C22semidirect
121. #14583115C22semidirect
122. #14583113C22semidirect
123. #14583113C22semidirect
124. #14583111C22semidirect
125. #14583110C22semidirect
126. #14583109C22semidirect
127. #14583109C22semidirect
128. #14583108C22semidirect
129. #14583107C22semidirect
130. #14583107C22semidirect
131. #14583105C22semidirect
132. #14583103C22semidirect
133. #14583098C22semidirect
134. #14583097C22semidirect
135. #14583097C22semidirect
136. #14583096C22semidirect
137. #14583093C22semidirect
138. #14583091C22semidirect
139. #14583064C22semidirect
141. #14583062C22semidirect
142. #14583062C22semidirect
143. #14583062C22semidirect
145. #14583060C22semidirect
146. #14583060C22semidirect
149. #14583058C22semidirect
150. #14583058C22semidirect
151. #14583058C22semidirect
152. #14583058C22semidirect
153. #14583058C22semidirect
154. #14583058C22semidirect
155. #14583057C22semidirect
156. #14583054C22semidirect
157. #14583054C22semidirect
158. #14583050C22semidirect
159. #14583047C22semidirect
161. #14583045C22semidirect
162. #14583045C22semidirect
163. #14583045C22semidirect
165. #14583040C22semidirect
166. #14583033C22semidirect
167. #14582960C22semidirect
168. #14582957C22semidirect
169. #14582957C22semidirect
170. #14582955C22semidirect
171. #14582954C22semidirect
172. #14582951C22semidirect
173. #14582950C22semidirect
174. #14582924C22semidirect
175. #14582924C22semidirect
176. #14582906C22semidirect
177. #14582902C22semidirect
182. #103×D43C22semidirect
183. #102×D43C22semidirect
186. #14582856C22semidirect
187. #14582853C22semidirect
188. C43×#541C22semidirect
190. C43×#497C22semidirect
191. C43×#492C22semidirect
192. C43×#490C22semidirect
193. C43×#488C22semidirect
194. C43×#464C22semidirect
195. C43×#464C22semidirect
196. C43×#460C22semidirect
197. C43×#460C22semidirect
200. C43×#450C22semidirect
201. C43×#450C22semidirect
202. C43×#433C22semidirect
923. #3222D43semidirect
978. #541C2×D43semidirect
1014. #497C2×D43semidirect
1024. #492C2×D43semidirect
1028. #490C2×D43semidirect
1036. #488C2×D43semidirect
1051. #464C2×D43semidirect
1052. #464C2×D43semidirect
1069. #460C2×D43semidirect
1070. #460C2×D43semidirect
1095. #450C2×D43semidirect
1096. #450C2×D43semidirect
1108. #433C2×D43semidirect
1127. C43#60816semidirect

Maximal subgroups

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

subgroupindex
#191483392
#191479262
#191457082
#191457062
#191456932
#191456892
#191456762
#191456722
#191456632
#191456372
#191456332
#191456042
#191456012
#191455752
#191455722
#191455502
#191455462
#191450872
#191450642
#191449592
#191449502
#191441482
#191441312
#191441232
#191441112
#191438502
#191438382
#191438142
#452×D432
#191432512
C43×#32222
#6081643