Finite Group Databasebeta

← #25968562

Subgroups — #25968562

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#19148385C211yesmaximal, characteristic, complemented
2#19148026C211yesmaximal, characteristic, complemented
3#19145710C211yesmaximal, characteristic, complemented
4#19145705C211yesmaximal, characteristic, complemented
5#19145693C211yesmaximal, characteristic, complemented
6#19145690C211yesmaximal, characteristic, complemented
7#19145674C211yesmaximal, characteristic, complemented
8#19145673C211yesmaximal, characteristic, complemented
9#19145663C211yesmaximal, characteristic, complemented
10#19145662C211yesmaximal, characteristic, complemented
11#19145637C211yesmaximal, characteristic, complemented
12#19145634C211yesmaximal, characteristic, complemented
13#19145596C211yesmaximal, characteristic, complemented
14#19145564C211yesmaximal, characteristic, complemented
15#19145560C211yesmaximal, characteristic, complemented
16#19145550C211yesmaximal, characteristic, complemented
17#19145547C211yesmaximal, characteristic, complemented
18#19145087C211yesmaximal, characteristic, complemented
19#19145070C211yesmaximal, characteristic, complemented
20#19144957C211yesmaximal, characteristic, complemented
21#19144946C211yesmaximal, characteristic, complemented
22#19144086C211yesmaximal, characteristic, complemented
23#19144065C211yesmaximal, characteristic, complemented
24#19144049C211yesmaximal, characteristic, complemented
25#464×D43C211yesmaximal, characteristic, complemented
26#19143911C211yesmaximal, characteristic, complemented
27#19143900C211yesmaximal, characteristic, complemented
28#19143885C211yesmaximal, characteristic, complemented
29#19143867C211yesmaximal, characteristic, complemented
30#19143262C211yesmaximal, characteristic, complemented
31C43×#3215C211yesmaximal, characteristic, complemented
32C2×#13063373C2211yescharacteristic
33C2×#13063370C2211yescharacteristic
34C2×#13063357C2211yescharacteristic, complemented
35C2×#13063357C2211yescharacteristic, complemented
36C2×#13063354C2211yescharacteristic
37C2×#13063352C2211yescharacteristic
38C2×#13063348C2211yescharacteristic, complemented
39C2×#13063346C2211yescharacteristic
40C2×Q16×D43C2211yescharacteristic, complemented
41C2×SD16×D43C2211yescharacteristic
42#14583557—21no—
43#14583557—21no—
44#14583542—21no—
45#14583542—21no—
46#14583539—21no—
47#14583539—21no—
48#14583539—21no—
49#14583539—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, complemented
61#14583473C2211yescharacteristic
62#14583472C2211yescharacteristic
63#14583469C2211yescharacteristic
64#14583469C2211yescharacteristic
65#14583467C2211yescharacteristic
66#14583467C2211yescharacteristic
67#14583466C2211yescharacteristic
68#14583453—21no—
69#14583453C2211yescharacteristic, complemented
70#14583449C2211yescharacteristic
71#14583448C2211yescharacteristic
72#14583448C2211yescharacteristic
73#14583436—21no—
74#14583436C2211yescharacteristic, complemented
75#14583433C2211yescharacteristic, complemented
76#14583427—21no—
77#14583427—21no—
78#124×D43C2211yescharacteristic
79#124×D43C2211yescharacteristic
80C4×#10621902C2211yescharacteristic, complemented
81C4×#10621898C2211yescharacteristic
82C4×Q8×D43C2211yescharacteristic, complemented
83#14583293C2211yescharacteristic, complemented
84#14583292C2211yescharacteristic, complemented
85#14583292C2211yescharacteristic, complemented
86#14583290C2211yescharacteristic, complemented
87#14583288C2211yescharacteristic, complemented
88#14583285C2211yescharacteristic, complemented
89#14583284C2211yescharacteristic, complemented
90#14583281C2211yescharacteristic, complemented
91#14583281C2211yescharacteristic, complemented
92#14583280C2211yescharacteristic, complemented
93#14583278C2211yescharacteristic, complemented
94#14583277C2211yescharacteristic, complemented
95#14583273C2211yescharacteristic, complemented
96#14583270C2211yescharacteristic, complemented
97#14583268C2211yescharacteristic, complemented
98#14583266C2211yescharacteristic, complemented
99#14583264C2211yescharacteristic, complemented
100#14583262C2211yescharacteristic, complemented
101#14583260C2211yescharacteristic, complemented
102#14583257C2211yescharacteristic, complemented
103#14583255C2211yescharacteristic, complemented
104#14583253C2211yescharacteristic, complemented
105#14583253C2211yescharacteristic, complemented
106#14583252C2211yescharacteristic, complemented
107#14583251C2211yescharacteristic, complemented
108#14583248C2211yescharacteristic, complemented
109#14583247C2211yescharacteristic, 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, complemented
140#14583063C2211yescharacteristic
141#14583063C2211yescharacteristic, complemented
142#14583062C2211yescharacteristic
143#14583060C2211yescharacteristic, complemented
144#14583060C2211yescharacteristic, complemented
145#14583059C2211yescharacteristic
146#14583059C2211yescharacteristic
147#14583059C2211yescharacteristic, complemented
148#14583059C2211yescharacteristic, complemented
149#14583058C2211yescharacteristic
150#14583058C2211yescharacteristic
151#14583056C2211yescharacteristic, complemented
152#14583055C2211yescharacteristic, complemented
153#14583053C2211yescharacteristic, complemented
154#14583053C2211yescharacteristic, complemented
155#14583051C2211yescharacteristic
156#14583050C2211yescharacteristic
157#14583048C2211yescharacteristic
158#14583048C2211yescharacteristic
159#14583047C2211yescharacteristic, complemented
160#14583046C2211yescharacteristic
161#14583046C2211yescharacteristic, complemented
162#14583045C2211yescharacteristic
163#14583039C2211yescharacteristic, complemented
164#14583038C2211yescharacteristic, complemented
165#14583034C2211yescharacteristic
166#14583033C2211yescharacteristic
167#14582961C2211yescharacteristic, complemented
168#14582961C2211yescharacteristic, complemented
169#14582957C2211yescharacteristic, complemented
170#14582957C2211yescharacteristic, complemented
171#14582955C2211yescharacteristic, complemented
172#14582952C2211yescharacteristic, complemented
173#14582951C2211yescharacteristic, complemented
174#14582921C2211yescharacteristic, complemented
175C4⋊C8×D43C2211yescharacteristic, complemented
176#14582906C2211yescharacteristic, complemented
177#14582902C2211yescharacteristic
178#14582899C2211yescharacteristic, complemented
179#14582897C2211yescharacteristic
180#14582894C2211yescharacteristic, complemented
181#14582892C2211yescharacteristic
182#103×D43C2211yescharacteristic, complemented
183#102×D43C2211yescharacteristic
184#14582864C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582856C2211yescharacteristic, complemented
187#14582856C2211yescharacteristic, complemented
188C43×#533C2211yescharacteristic, complemented
189C2×#124×C43C2211yescharacteristic
190C43×#497C2211yescharacteristic, complemented
191C43×#497C2211yescharacteristic, complemented
192C43×#489C2211yescharacteristic, complemented
193C43×#489C2211yescharacteristic, complemented
194C43×#464C2211yescharacteristic, complemented
195C43×#464C2211yescharacteristic, complemented
196C43×#464C2211yescharacteristic, complemented
197C43×#464C2211yescharacteristic, complemented
198C43×#451C2211yescharacteristic, complemented
199C43×#451C2211yescharacteristic, complemented
200C43×#450C2211yescharacteristic
201C43×#450C2211yescharacteristic
202C43×#432C2211yescharacteristic, complemented
203#13063373—42no—
204#13063373—42no—
205#13063370—42no—
206#13063370—42no—
207C2×#10621902—21no—
208C2×#10621902C2311yescharacteristic
209C2×#10621902C2311yescharacteristic
210C2×#10621902C2311yescharacteristic
211C2×#10621898—21no—
212C2×#10621898—21no—
213C2×#10621898C2311yescharacteristic
214C2×#10621898C2311yescharacteristic
215C2×#10621898C2311yescharacteristic
216C2×#10621900—21no—
217C2×#10621900C2311yescharacteristic
218C2×#10621900C2311yescharacteristic
219C2×Q8×D43—21no—
220C2×Q8×D43C2311yescharacteristic
221C2×Q8×D43C2311yescharacteristic
222C2×Q8×D43C2311yescharacteristic
223C22×C22⋊D43—21no—
224C22×C22⋊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#13063325C2311yescharacteristic
265#13063324—21no—
266#13063324C2311yescharacteristic
267#13063323—21no—
268#13063323C2311yescharacteristic
269#13063323C2311yescharacteristic
270#13063323C2311yescharacteristic
271#13063322C2311yescharacteristic
272#13063321C2311yescharacteristic
273#13063321C2311yescharacteristic
274#13063320—21no—
275#13063320—21no—
276#13063320—21no—
277#13063320—21no—
278#13063320—21no—
279#13063319—21no—
280#13063318—21no—
281#13063318—21no—
282#13063317C2311yescharacteristic
283#13063316—21no—
284#13063316C2311yescharacteristic
285#13063315—21no—
286#13063315—21no—
287#13063315—21no—
288#13063315—21no—
289#13063315—21no—
290#13063314—21no—
291#13063314C2311yescharacteristic
292#13063314C2311yescharacteristic
293#13063314C2311yescharacteristic
294#13063313C2311yescharacteristic
295#13063313C2311yescharacteristic
296#13063313C2311yescharacteristic
297#13063312C2311yescharacteristic
298#13063312C2311yescharacteristic
299#13063311—21no—
300#13063311—21no—
301#13063311—21no—
302#13063311—21no—
303#13063311—21no—
304#13063311—21no—
305#13063310—21no—
306#13063310—21no—
307#13063310—21no—
308#13063310—21no—
309#13063310—21no—
310#13063308—21no—
311#13063308—21no—
312#13063308—21no—
313#13063307—21no—
314#13063307—21no—
315#13063307—21no—
316#13063307—21no—
317#13063307—21no—
318#13063307—21no—
319#13063305—21no—
320#13063305C2311yescharacteristic
321#13063304C2311yescharacteristic
322#13063303—21no—
323#13063303—21no—
324#13063303—21no—
325#13063303—21no—
326#13063303—21no—
327#13063302—21no—
328#13063302—21no—
329#13063302—21no—
330#13063302—21no—
331#13063301—21no—
332#13063301—21no—
333#13063301—21no—
334#13063301—21no—
335#13063301C2311yescharacteristic
336#13063301C2311yescharacteristic
337#13063300—21no—
338#13063300C2311yescharacteristic
339#13063299—21no—
340#13063299—21no—
341#13063299C2311yescharacteristic
342#13063298—21no—
343#13063298—21no—
344#13063298—21no—
345#13063298—21no—
346#13063298—21no—
347#13063298—21no—
348#13063298—21no—
349#13063298—21no—
350#13063298—21no—
351#13063298—21no—
352#13063296—21no—
353#13063296—21no—
354#13063295—21no—
355#13063295—21no—
356#13063295—21no—
357#13063295—21no—
358#13063294—21no—
359#13063294—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×D172—21no—
372C4×D172—21no—
373C4×D172D411yescharacteristic
374C4×D172D411yescharacteristic
375C4×D172C2311yescharacteristic
376#13063287—21no—
377#13063287C2311yescharacteristic
378C4×C22⋊D43—21no—
379C4×C22⋊D43D411yescharacteristic
380C4×C22⋊D43D411yescharacteristic
381C4×C22⋊D43D411yescharacteristic
382C4×C22⋊D43D411yescharacteristic
383(C22⋊D43)⋊C4—21no—
384(C22⋊D43)⋊C4—21no—
385(C22⋊D43)⋊C4—21no—
386(C22⋊D43)⋊C4—21no—
387#13063284C2311yescharacteristic
388#13063283—21no—
389#13063283C2311yescharacteristic
390#13063282—21no—
391#13063282—21no—
392#13063282—21no—
393#13063282C2311yescharacteristic
394#13063282C2311yescharacteristic
395C4⋊C4×D43—21no—
396C4⋊C4×D43C2311yescharacteristic
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#13063235C2311yescharacteristic
442#13063235C2311yescharacteristic
443C4×C43⋊C8C2311yescharacteristic
444C4×C43⋊C8C2311yescharacteristic
445C8×Dic43C2311yescharacteristic
446C8×Dic43C2311yescharacteristic
447C22×Q8×C43C2311yescharacteristic
448C22×D4×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
459#125×C43—21no—
460#124×C43—21no—
461#124×C43—21no—
462#124×C43C2311yescharacteristic
463#124×C43C2311yescharacteristic
464#124×C43C2311yescharacteristic
465#124×C43C2311yescharacteristic
466C22⋊Q8×C43—21no—
467C22⋊Q8×C43C2311yescharacteristic
468C22⋊Q8×C43C2311yescharacteristic
469C4×Q8×C43—21no—
470C4×Q8×C43C2311yescharacteristic
471C4×Q8×C43C2311yescharacteristic
472#117×C43—21no—
473C2×C22⋊C4×C43—21no—
474C2×C22⋊C4×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
488#97×C43C2311yescharacteristic
489#97×C43C2311yescharacteristic
490C24×C43—21no—
491C23×D43—21no—
492C23×D43—21no—
493C2×Q8×C43—21no—
494C2×Q8×C43—21no—
495C2×Q8×C43—41no—
496C2×Q8×C43—41no—
497C2×Q8×C43C2411yescharacteristic
498C2×Q8×C43C2411yescharacteristic
499C2×Q8×C43C2411yescharacteristic
500C2×Q8×C43C2411yescharacteristic
501C2×D4×C43—21no—
502C2×D4×C43—41no—
503C2×D4×C43—41no—
504C2×D4×C43C2411yescharacteristic
505C2×D4×C43C2411yescharacteristic
506C22×C4×C43—21no—
507C22×C4×C43C2×D411yescharacteristic
508C22×C4×C43C2×D411yescharacteristic
509C22×C4×C43C2411yescharacteristic
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43—21no—
520C2×C22⋊D43—21no—
521C2×C22⋊D43—44no—
522C2×C22⋊D43—44no—
523C2×C22⋊D43C2×D411yescharacteristic
524C2×C22⋊D43C2×D411yescharacteristic
525C22×Dic43—21no—
526C22×Dic43—21no—
527#10621902—22no—
528#10621902—22no—
529#10621902—22no—
530#10621902—22no—
531#10621902—41no—
532#10621902—41no—
533#10621902—44no—
534Q8×D43—22no—
535Q8×D43—22no—
536Q8×D43—22no—
537Q8×D43—22no—
538Q8×D43—41no—
539Q8×D43—41no—
540Q8×D43—44no—
541#10621900—22no—
542#10621900—22no—
543#10621900—41no—
544#10621900—41no—
545#10621900—44no—
546D4×D43—22no—
547D4×D43—22no—
548D4×D43—41no—
549D4×D43—41no—
550D4×D43—44no—
551#10621898—22no—
552#10621898—22no—
553#10621898—41no—
554#10621898—41no—
555#10621898—41no—
556#10621898—41no—
557#10621898—44no—
558#10621898—44no—
559C2×D172—21no—
560C2×D172—21no—
561C2×D172—21no—
562C2×D172—21no—
563C2×D172—21no—
564C2×D172—21no—
565C2×D172C2×D411yescharacteristic
566C2×D172C2411yescharacteristic
567C2×D172C2411yescharacteristic
568C2×D172C2411yescharacteristic
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×D43—21no—
577C2×C4×D43—21no—
578C2×C4×D43—21no—
579C2×C4×D43—21no—
580C2×C4×D43C2×D411yescharacteristic
581C2×C4×D43C2×D411yescharacteristic
582C2×C4×D43C2×D411yescharacteristic
583C2×C4×D43C2×D411yescharacteristic
584C2×C4×D43C2411yescharacteristic
585C2×C4×D43C2411yescharacteristic
586C2×Dic86—21no—
587C2×Dic86—21no—
588C2×Dic86—21no—
589C2×Dic86—21no—
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×C43C2411yescharacteristic
614C4⋊C4×C43C2411yescharacteristic
615C22⋊C4×C43—21no—
616C22⋊C4×C43—21no—
617C22⋊C4×C43—21no—
618C22⋊C4×C43—21no—
619C22⋊C4×C43—21no—
620C22⋊C4×C43—21no—
621C22⋊C4×C43—21no—
622C22⋊C4×C43—21no—
623C22⋊C4×C43—21no—
624C22⋊C4×C43—21no—
625C42×C43—21no—
626C42×C43—21no—
627C42×C43C2×D411yescharacteristic
628C42×C43C2×D411yescharacteristic
629C42×C43C2411yescharacteristic
630C42×C43C2411yescharacteristic
631C22⋊Dic43—21no—
632C22⋊Dic43—21no—
633C22⋊Dic43—21no—
634C22⋊Dic43—21no—
635C22⋊Dic43—21no—
636C22⋊Dic43C2×D411yescharacteristic
637C22⋊Dic43C2×D411yescharacteristic
638#10621885—41no—
639#10621885—41no—
640#10621885—41no—
641#10621885—41no—
642#10621885—41no—
643#10621885—41no—
644#10621884—41no—
645#10621884—41no—
646#10621884—41no—
647#10621884—41no—
648#10621884—41no—
649#10621884—41no—
650#10621883—41no—
651#10621883—41no—
652#10621882—41no—
653#10621882—41no—
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)⋊C4C2×D411yescharacteristic
675(C2×D43)⋊C4C2×D411yescharacteristic
676(C2×D43)⋊C4C2×D411yescharacteristic
677(C2×D43)⋊C4C2×D411yescharacteristic
678C4⋊Dic43—21no—
679C4⋊Dic43—21no—
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×C43—42no—
738C23×C43—81no—
739C23×C43—81no—
740C23×C43C22×D411yescharacteristic
741C22×D43—21no—
742C22×D43—21no—
743C22×D43—21no—
744C22×D43—42no—
745C22×D43—42no—
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—42no—
761Q8×C43—81no—
762D4×C43—21no—
763D4×C43—21no—
764D4×C43—21no—
765D4×C43—21no—
766D4×C43—42no—
767C2×C4×C43—21no—
768C2×C4×C43—21no—
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—41no—
776C2×C4×C43—41no—
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—22no—
785C22⋊D43—22no—
786C22⋊D43—42no—
787C22⋊D43—42no—
788C22⋊D43—42no—
789C22⋊D43—42no—
790C22⋊D43—42no—
791C22⋊D43—42no—
792C22⋊D43—81no—
793C22⋊D43—81no—
794C22⋊D43—81no—
795C22⋊D43—81no—
796C22⋊D43—81no—
797C2×Dic43—21no—
798C2×Dic43—21no—
799C2×Dic43—21no—
800C2×Dic43—21no—
801C2×Dic43—21no—
802C2×Dic43—42no—
803C2×Dic43—42no—
804C2×Dic43C22×D411yescharacteristic
805C2×Dic43C22×D411yescharacteristic
806C2×Dic43C22×D411yescharacteristic
807C2×Dic43C22×D411yescharacteristic
808C2×Dic43C22×D411yescharacteristic
809C2×Dic43C22×D411yescharacteristic
810D172—22no—
811D172—21no—
812D172—21no—
813D172—21no—
814D172—21no—
815D172—21no—
816D172—21no—
817D172—42no—
818D172—42no—
819D172—42no—
820D172—81no—
821D172—81no—
822D172—81no—
823C4×D43—21no—
824C4×D43—21no—
825C4×D43—41no—
826C4×D43—41no—
827C4×D43—41no—
828C4×D43—41no—
829C4×D43—42no—
830C4×D43—42no—
831C4×D43—42no—
832C4×D43—42no—
833C4×D43—42no—
834C4×D43—42no—
835C4×D43—42no—
836C4×D43—42no—
837C4×D43—42no—
838C4×D43—81no—
839C4×D43—81no—
840C4×D43H(5,𝔽2)12yes—
841C4×D43H(5,𝔽2)12yes—
842Dic86—22no—
843Dic86—21no—
844Dic86—21no—
845Dic86—21no—
846Dic86—21no—
847Dic86—21no—
848Dic86—21no—
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×C43—162no—
872C22×C43C23×D411yescharacteristic
873C2×D43—21no—
874C2×D43—21no—
875C2×D43—21no—
876C2×D43—21no—
877C2×D43—21no—
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—41no—
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#3215D4311yescharacteristic, complemented
928#3211—431no—
929#3211—431no—
930#3210—431no—
931#3210—431no—
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#532—431no—
998#529—431no—
999#529—431no—
1000#529—861no—
1001#529—861no—
1002#529—861no—
1003C2×#124—431no—
1004C2×#124—431no—
1005C2×#124C2×D4311yescharacteristic
1006C4×#41—431no—
1007C4×#41—431no—
1008C2×C4×Q8—431no—
1009#497—431no—
1010#497—431no—
1011#497—431no—
1012#497—431no—
1013#497C2×D4311yescharacteristic, complemented
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#492—431no—
1025#491—431no—
1026#491—431no—
1027#490—431no—
1028#490—431no—
1029#489—431no—
1030#489—431no—
1031#489C2×D4311yescharacteristic, complemented
1032#489C2×D4311yescharacteristic, complemented
1033#488—431no—
1034#488—431no—
1035#488—431no—
1036#488—431no—
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#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#452—431no—
1082#452—431no—
1083#452—431no—
1084#452—431no—
1085#451—431no—
1086#451—431no—
1087#451—431no—
1088#451—431no—
1089#451C2×D4311yescharacteristic, complemented
1090#451C2×D4311yescharacteristic, complemented
1091#450—431no—
1092#450—431no—
1093#450—431no—
1094#450—431no—
1095#450C2×D4311yescharacteristic
1096#450C2×D4311yescharacteristic
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#432C2×D4311yescharacteristic, complemented
1111#431—431no—
1112#431—431no—
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—431no—
1139C2×#41—431no—
1140C2×#41—861no—
1141C2×#41—861no—
1142C2×#41—861no—
1143C2×#41—861no—
1144C22×Q8—431no—
1145C22×Q8—431no—
1146C22×Q8—431no—
1147C22×Q8—861no—
1148C22×Q8C22×D4311yescharacteristic
1149C22×D4—431no—
1150C22×D4—431no—
1151C22×D4—861no—
1152C22×D4—861no—
1153C22×D4—861no—
1154C22×D4C22×D4311yescharacteristic
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—431no—
1204C4⋊Q8—861no—
1205C4⋊Q8—861no—
1206C4⋊Q8C22×D4311yescharacteristic
1207C4⋊Q8C22×D4311yescharacteristic
1208#127—431no—
1209#127—431no—
1210#127—431no—
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—21no—
1229#124—21no—
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#124C22×D4311yescharacteristic
1246#124C22×D4311yescharacteristic
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—431no—
1285#121—431no—
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#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—431no—
1320C4×D4—431no—
1321C4×D4—431no—
1322C4×D4—431no—
1323C4×D4—431no—
1324C4×D4—431no—
1325C4×D4—431no—
1326C4×D4—431no—
1327C4×D4—861no—
1328C4×D4—861no—
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—21no—
1349C2×C22⋊C4—21no—
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#97C22×D4311yescharacteristic
1410#97C22×D4311yescharacteristic
1411C4×C8—431no—
1412C4×C8—431no—
1413C4×C8—431no—
1414C4×C8—431no—
1415C24—21no—
1416C24—861no—
1417C24—861no—
1418#41—862no—
1419#41—862no—
1420#41—862no—
1421#41—862no—
1422#41—862no—
1423#41—862no—
1424#41—862no—
1425#41—862no—
1426#41—1721no—
1427#41—1721no—
1428#41—1721no—
1429#41—1721no—
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—21no—
1440C2×Q8—41no—
1441C2×Q8—41no—
1442C2×Q8—431no—
1443C2×Q8—431no—
1444C2×Q8—431no—
1445C2×Q8—431no—
1446C2×Q8—861no—
1447C2×Q8—861no—
1448C2×Q8—861no—
1449C2×Q8—861no—
1450C2×Q8—862no—
1451C2×Q8—862no—
1452C2×Q8—862no—
1453C2×Q8—862no—
1454C2×Q8—1721no—
1455C2×Q8—1721no—
1456C2×Q8—1724no—
1457C2×Q8C23×D4311yescharacteristic
1458C2×Q8C23×D4311yescharacteristic
1459C2×Q8C23×D4311yescharacteristic
1460C2×Q8C23×D4311yescharacteristic
1461C2×D4—21no—
1462C2×D4—41no—
1463C2×D4—41no—
1464C2×D4—431no—
1465C2×D4—431no—
1466C2×D4—431no—
1467C2×D4—431no—
1468C2×D4—431no—
1469C2×D4—431no—
1470C2×D4—861no—
1471C2×D4—861no—
1472C2×D4—861no—
1473C2×D4—861no—
1474C2×D4—862no—
1475C2×D4—862no—
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—861no—
1486C2×D4—861no—
1487C2×D4—861no—
1488C2×D4—861no—
1489C2×D4—1721no—
1490C2×D4—1721no—
1491C2×D4—1724no—
1492C2×D4—1724no—
1493C2×D4—1724no—
1494C2×D4C23×D4311yescharacteristic
1495C2×D4C23×D4311yescharacteristic
1496C22×C4—21no—
1497C22×C4—431no—
1498C22×C4—431no—
1499C22×C4—431no—
1500C22×C4—431no—
1501C22×C4—431no—
1502C22×C4—431no—
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×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—431no—
1571C4⋊C4—431no—
1572C4⋊C4—431no—
1573C4⋊C4—431no—
1574C4⋊C4—431no—
1575C4⋊C4—431no—
1576C4⋊C4—431no—
1577C4⋊C4—431no—
1578C4⋊C4—861no—
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⋊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—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—
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—42no—
1663C23—81no—
1664C23—81no—
1665C23—431no—
1666C23—431no—
1667C23—861no—
1668C23—861no—
1669C23—861no—
1670C23—3441no—
1671C23—3441no—
1672C23—3441no—
1673C23—3441no—
1674C23—1722no—
1675C23—1722no—
1676C23C2×D4×D4311yescharacteristic
1677Q8—21no—
1678Q8—21no—
1679Q8—21no—
1680Q8—21no—
1681Q8—21no—
1682Q8—21no—
1683Q8—21no—
1684Q8—21no—
1685Q8—42no—
1686Q8—81no—
1687Q8—862no—
1688Q8—861no—
1689Q8—861no—
1690Q8—861no—
1691Q8—861no—
1692Q8—861no—
1693Q8—861no—
1694Q8—3441no—
1695Q8—1722no—
1696Q8—1722no—
1697Q8—1722no—
1698D4—21no—
1699D4—21no—
1700D4—21no—
1701D4—21no—
1702D4—42no—
1703D4—862no—
1704D4—862no—
1705D4—862no—
1706D4—861no—
1707D4—861no—
1708D4—861no—
1709D4—861no—
1710D4—861no—
1711D4—861no—
1712D4—3441no—
1713D4—3441no—
1714D4—3441no—
1715D4—3441no—
1716D4—3441no—
1717D4—3441no—
1718D4—3441no—
1719D4—3441no—
1720D4—1722no—
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—431no—
1741C2×C4—432no—
1742C2×C4—432no—
1743C2×C4—431no—
1744C2×C4—431no—
1745C2×C4—431no—
1746C2×C4—431no—
1747C2×C4—431no—
1748C2×C4—861no—
1749C2×C4—861no—
1750C2×C4—861no—
1751C2×C4—861no—
1752C2×C4—861no—
1753C2×C4—861no—
1754C2×C4—861no—
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—162no—
1796C22—432no—
1797C22—861no—
1798C22—861no—
1799C22—861no—
1800C22—861no—
1801C22—861no—
1802C22—1721no—
1803C22—1721no—
1804C22—1721no—
1805C22—1721no—
1806C22—1721no—
1807C22—1721no—
1808C22—1721no—
1809C22—1721no—
1810C22—1721no—
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#1914936811yescharacteristic
1848C2#1914937811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3215C2
socleC22×C43C23×D4
hypercenter#3215D43
hypocenterC43#60835
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3215

Complements

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

NH ≅ G/Ntype
1. #19148385C2semidirect
2. #19148026C2semidirect
3. #19145710C2semidirect
4. #19145705C2semidirect
5. #19145693C2semidirect
6. #19145690C2semidirect
7. #19145674C2semidirect
8. #19145673C2semidirect
9. #19145663C2semidirect
10. #19145662C2semidirect
11. #19145637C2semidirect
12. #19145634C2semidirect
13. #19145596C2semidirect
14. #19145564C2semidirect
15. #19145560C2semidirect
16. #19145550C2semidirect
17. #19145547C2semidirect
18. #19145087C2semidirect
19. #19145070C2semidirect
20. #19144957C2semidirect
21. #19144946C2semidirect
22. #19144086C2semidirect
23. #19144065C2semidirect
24. #19144049C2semidirect
25. #464×D43C2semidirect
26. #19143911C2semidirect
27. #19143900C2semidirect
28. #19143885C2semidirect
29. #19143867C2semidirect
30. #19143262C2semidirect
31. C43×#3215C2semidirect
34. C2×#13063357C22semidirect
35. C2×#13063357C22semidirect
38. C2×#13063348C22semidirect
40. C2×Q16×D43C22semidirect
50. #14583526C22semidirect
51. #14583523C22semidirect
52. #14583522C22semidirect
54. #14583510C22semidirect
55. #14583509C22semidirect
60. #14583474C22semidirect
69. #14583453C22semidirect
74. #14583436C22semidirect
75. #14583433C22semidirect
80. C4×#10621902C22semidirect
82. C4×Q8×D43C22semidirect
83. #14583293C22semidirect
84. #14583292C22semidirect
85. #14583292C22semidirect
86. #14583290C22semidirect
87. #14583288C22semidirect
88. #14583285C22semidirect
89. #14583284C22semidirect
90. #14583281C22semidirect
91. #14583281C22semidirect
92. #14583280C22semidirect
93. #14583278C22semidirect
94. #14583277C22semidirect
95. #14583273C22semidirect
96. #14583270C22semidirect
97. #14583268C22semidirect
98. #14583266C22semidirect
99. #14583264C22semidirect
100. #14583262C22semidirect
101. #14583260C22semidirect
102. #14583257C22semidirect
103. #14583255C22semidirect
104. #14583253C22semidirect
105. #14583253C22semidirect
106. #14583252C22semidirect
107. #14583251C22semidirect
108. #14583248C22semidirect
109. #14583247C22semidirect
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
139. #14583064C22semidirect
141. #14583063C22semidirect
143. #14583060C22semidirect
144. #14583060C22semidirect
147. #14583059C22semidirect
148. #14583059C22semidirect
151. #14583056C22semidirect
152. #14583055C22semidirect
153. #14583053C22semidirect
154. #14583053C22semidirect
159. #14583047C22semidirect
161. #14583046C22semidirect
163. #14583039C22semidirect
164. #14583038C22semidirect
167. #14582961C22semidirect
168. #14582961C22semidirect
169. #14582957C22semidirect
170. #14582957C22semidirect
171. #14582955C22semidirect
172. #14582952C22semidirect
173. #14582951C22semidirect
174. #14582921C22semidirect
175. C4⋊C8×D43C22semidirect
176. #14582906C22semidirect
178. #14582899C22semidirect
180. #14582894C22semidirect
182. #103×D43C22semidirect
186. #14582856C22semidirect
187. #14582856C22semidirect
188. C43×#533C22semidirect
190. C43×#497C22semidirect
191. C43×#497C22semidirect
192. C43×#489C22semidirect
193. C43×#489C22semidirect
194. C43×#464C22semidirect
195. C43×#464C22semidirect
196. C43×#464C22semidirect
197. C43×#464C22semidirect
198. C43×#451C22semidirect
199. C43×#451C22semidirect
202. C43×#432C22semidirect
927. #3215D43semidirect
994. #533C2×D43semidirect
1013. #497C2×D43semidirect
1014. #497C2×D43semidirect
1031. #489C2×D43semidirect
1032. #489C2×D43semidirect
1055. #464C2×D43semidirect
1056. #464C2×D43semidirect
1057. #464C2×D43semidirect
1058. #464C2×D43semidirect
1089. #451C2×D43semidirect
1090. #451C2×D43semidirect
1110. #432C2×D43semidirect
1127. C43#60835semidirect

Maximal subgroups

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

subgroupindex
#191483852
#191480262
#191457102
#191457052
#191456932
#191456902
#191456742
#191456732
#191456632
#191456622
#191456372
#191456342
#191455962
#191455642
#191455602
#191455502
#191455472
#191450872
#191450702
#191449572
#191449462
#191440862
#191440652
#191440492
#464×D432
#191439112
#191439002
#191438852
#191438672
#191432622
C43×#32152
#6083543