Finite Group Databasebeta

← #25968223

Subgroups — #25968223

Order 11008.

2026 conjugacy classes of subgroups.

The subgroup lattice has 1816 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148345C211yesmaximal, characteristic, complemented
2#536×D43C211yesmaximal, characteristic, complemented
3#19145702C211yesmaximal, characteristic, complemented
4#19145700C211yesmaximal, characteristic, complemented
5#19145698C211yesmaximal, characteristic, complemented
6#19145680C211yesmaximal, characteristic, complemented
7#19145678C211yesmaximal, characteristic, complemented
8#19145676C211yesmaximal, characteristic, complemented
9#19145674C211yesmaximal, characteristic, complemented
10#19145621C211yesmaximal, characteristic, complemented
11#19145618C211yesmaximal, characteristic, complemented
12#19145599C211yesmaximal, characteristic, complemented
13#19145596C211yesmaximal, characteristic, complemented
14#19145558C211yesmaximal, characteristic, complemented
15#19145555C211yesmaximal, characteristic, complemented
16#19145544C211yesmaximal, characteristic, complemented
17#19145542C211yesmaximal, characteristic, complemented
18#19145087C211yesmaximal, characteristic, complemented
19#19145085C211yesmaximal, characteristic, complemented
20#19144957C211yesmaximal, characteristic, complemented
21#19144955C211yesmaximal, characteristic, complemented
22#19144146C211yesmaximal, characteristic, complemented
23#19144140C211yesmaximal, characteristic, complemented
24#19144123C211yesmaximal, characteristic, complemented
25#19144120C211yesmaximal, characteristic, complemented
26#19143852C211yesmaximal, characteristic, complemented
27#19143826C211yesmaximal, characteristic, complemented
28#19143810C211yesmaximal, characteristic
29#451×D43C211yesmaximal, characteristic, complemented
30#19143251C211yesmaximal, characteristic, complemented
31C43×#3225C211yesmaximal, characteristic, complemented
32C2×#41×D43C2211yescharacteristic
33C22×Q8×D43C2211yescharacteristic
34C2×#13063357C2211yescharacteristic
35C2×#13063354C2211yescharacteristic
36C2×#13063354C2211yescharacteristic, complemented
37C2×#13063354C2211yescharacteristic, complemented
38C2×#13063346C2211yescharacteristic
39C2×#13063344C2211yescharacteristic
40C2×Q16×D43C2211yescharacteristic, complemented
41C2×Q16×D43C2211yescharacteristic, complemented
42#14583618—21no—
43#14583603—21no—
44#14583586—21no—
45#14583585—21no—
46#14583585—21no—
47#14583583—21no—
48#14583579—21no—
49#14583577—21no—
50#14583526C2211yescharacteristic, complemented
51#14583516C2211yescharacteristic, complemented
52#14583511C2211yescharacteristic, complemented
53#14583509C2211yescharacteristic, complemented
54#14583475C2211yescharacteristic
55#14583474C2211yescharacteristic
56#14583474C2211yescharacteristic
57#14583473C2211yescharacteristic
58#14583472—21no—
59#14583472—21no—
60#14583471—21no—
61#14583471—21no—
62#14583470C2211yescharacteristic
63#14583469C2211yescharacteristic
64#14583469C2211yescharacteristic
65#14583469C2211yescharacteristic, complemented
66#14583454C2211yescharacteristic
67#14583453C2211yescharacteristic
68C4⋊Q8×D43C2211yescharacteristic
69C4⋊Q8×D43C2211yescharacteristic
70#14583431C2211yescharacteristic
71#14583428C2211yescharacteristic
72#124×D43C2211yescharacteristic
73#124×D43C2211yescharacteristic
74#14583409C2211yescharacteristic
75#123×D43—21no—
76#123×D43—21no—
77C22⋊Q8×D43—21no—
78C22⋊Q8×D43—21no—
79C22⋊Q8×D43C2211yescharacteristic
80#14583378C2211yescharacteristic, complemented
81#14583375C2211yescharacteristic, complemented
82#117×D43C2211yescharacteristic
83#14583294C2211yescharacteristic, complemented
84#14583294C2211yescharacteristic, complemented
85#14583293C2211yescharacteristic, complemented
86#14583292C2211yescharacteristic, complemented
87#14583290C2211yescharacteristic, complemented
88#14583290C2211yescharacteristic, complemented
89#14583290C2211yescharacteristic, complemented
90#14583282C2211yescharacteristic, complemented
91#14583281C2211yescharacteristic, complemented
92#14583280C2211yescharacteristic, complemented
93#14583279C2211yescharacteristic, complemented
94#14583278C2211yescharacteristic, complemented
95#14583277C2211yescharacteristic, complemented
96#14583277C2211yescharacteristic, complemented
97#14583268C2211yescharacteristic, complemented
98#14583267C2211yescharacteristic, complemented
99#14583266C2211yescharacteristic, complemented
100#14583266C2211yescharacteristic, complemented
101#14583261C2211yescharacteristic, complemented
102#14583260C2211yescharacteristic, complemented
103#14583257C2211yescharacteristic, complemented
104#14583255C2211yescharacteristic, complemented
105#14583254C2211yescharacteristic, complemented
106#14583253C2211yescharacteristic, complemented
107#14583252C2211yescharacteristic, complemented
108#14583251C2211yescharacteristic, complemented
109#14583248C2211yescharacteristic, complemented
110#14583248C2211yescharacteristic, complemented
111#14583124C2211yescharacteristic, complemented
112#14583124C2211yescharacteristic, complemented
113#14583123C2211yescharacteristic, complemented
114#14583122C2211yescharacteristic, complemented
115#14583122C2211yescharacteristic, complemented
116#14583121C2211yescharacteristic, complemented
117#14583120C2211yescharacteristic, complemented
118#14583120C2211yescharacteristic, complemented
119#14583119C2211yescharacteristic, complemented
120#14583118C2211yescharacteristic, complemented
121#14583118C2211yescharacteristic, complemented
122#14583116C2211yescharacteristic, complemented
123#14583114C2211yescharacteristic, complemented
124#14583112C2211yescharacteristic, complemented
125#14583110C2211yescharacteristic, complemented
126#14583110C2211yescharacteristic, complemented
127#14583109C2211yescharacteristic, complemented
128#14583108C2211yescharacteristic, complemented
129#14583108C2211yescharacteristic, complemented
130#14583108C2211yescharacteristic, complemented
131#14583108C2211yescharacteristic, complemented
132#14583107C2211yescharacteristic, complemented
133#14583107C2211yescharacteristic, complemented
134#14583106C2211yescharacteristic, complemented
135#14583106C2211yescharacteristic, complemented
136#14583104C2211yescharacteristic, complemented
137#14583102C2211yescharacteristic, complemented
138#14583102C2211yescharacteristic, complemented
139#14583063C2211yescharacteristic
140#14583063C2211yescharacteristic
141#14583061C2211yescharacteristic
142#14583061C2211yescharacteristic
143#14583059C2211yescharacteristic
144#14583057C2211yescharacteristic, complemented
145#14583057C2211yescharacteristic, complemented
146#14583056C2211yescharacteristic
147#14583056C2211yescharacteristic
148#14583056C2211yescharacteristic
149#14583056C2211yescharacteristic
150#14583056C2211yescharacteristic
151#14583056C2211yescharacteristic
152#14583055C2211yescharacteristic, complemented
153#14583055C2211yescharacteristic, complemented
154#14583054C2211yescharacteristic, complemented
155#14583053C2211yescharacteristic
156#14583053C2211yescharacteristic
157#14583053C2211yescharacteristic
158#14583051C2211yescharacteristic
159#14583051C2211yescharacteristic
160#14583048C2211yescharacteristic
161#14583042C2211yescharacteristic
162#14583037C2211yescharacteristic, complemented
163#14583036C2211yescharacteristic
164#14583036C2211yescharacteristic
165#14583036C2211yescharacteristic
166#14583031C2211yescharacteristic
167#14582960C2211yescharacteristic, complemented
168#14582957C2211yescharacteristic, complemented
169#14582957C2211yescharacteristic, complemented
170#14582955C2211yescharacteristic
171#14582954C2211yescharacteristic
172#14582951C2211yescharacteristic
173#14582950C2211yescharacteristic
174#14582924C2211yescharacteristic, complemented
175#14582924C2211yescharacteristic, complemented
176#14582906C2211yescharacteristic, complemented
177#14582906C2211yescharacteristic, complemented
178#14582899C2211yescharacteristic
179#14582897C2211yescharacteristic
180#14582894C2211yescharacteristic
181#14582892C2211yescharacteristic
182#103×D43C2211yescharacteristic, complemented
183#103×D43C2211yescharacteristic, complemented
184#14582861C2211yescharacteristic
185C22⋊C8×D43C2211yescharacteristic
186#14582856C2211yescharacteristic, complemented
187#14582853C2211yescharacteristic, complemented
188C43×#542C2211yescharacteristic, complemented
189C43×#536C2211yescharacteristic
190C43×#497C2211yescharacteristic, complemented
191C43×#495C2211yescharacteristic, complemented
192C43×#489C2211yescharacteristic, complemented
193C43×#487C2211yescharacteristic, complemented
194C43×#464C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic, complemented
196C43×#462C2211yescharacteristic, complemented
197C43×#461C2211yescharacteristic, complemented
198C43×#452C2211yescharacteristic
199C43×#451C2211yescharacteristic, complemented
200C43×#449C2211yescharacteristic
201C43×#448C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×#10621898C2311yescharacteristic
206C2×#10621900—21no—
207C2×#10621900C2311yescharacteristic
208C2×#10621900C2311yescharacteristic
209#41×D43—42no—
210#41×D43—42no—
211C22×Dic86—21no—
212C22×Dic86C2311yescharacteristic
213C2×Q8×D43—21no—
214C2×Q8×D43—21no—
215C2×Q8×D43—42no—
216C2×Q8×D43—42no—
217C2×Q8×D43C2311yescharacteristic
218C2×Q8×D43C2311yescharacteristic
219C2×Q8×D43C2311yescharacteristic
220C2×Q8×D43C2311yescharacteristic
221C2×Q8×D43C2311yescharacteristic
222C2×Q8×D43C2311yescharacteristic
223C2×D4×D43—21no—
224C2×D4×D43C2311yescharacteristic
225C22×C4×D43—21no—
226C22×C4×D43—21no—
227C22×C4×D43C2311yescharacteristic
228#13063357—42no—
229#13063354—42no—
230#13063354—42no—
231#13063354—42no—
232#13063346—42no—
233#13063344—42no—
234C2×Dic172C2311yescharacteristic
235C2×Dic172C2311yescharacteristic
236C2×Dic172C2311yescharacteristic
237C2×Dic172C2311yescharacteristic
238C2×Dic172C2311yescharacteristic
239C2×Dic172C2311yescharacteristic
240C2×#10621885C2311yescharacteristic
241C2×#10621885C2311yescharacteristic
242C2×#10621885C2311yescharacteristic
243C2×#10621885C2311yescharacteristic
244C2×#10621885C2311yescharacteristic
245C2×#10621885C2311yescharacteristic
246C2×#10621885C2311yescharacteristic
247C2×#10621885C2311yescharacteristic
248C2×#10621885C2311yescharacteristic
249Q16×D43—42no—
250Q16×D43—42no—
251C2×#10621873C2311yescharacteristic
252C2×#10621873C2311yescharacteristic
253C2×#10621883C2311yescharacteristic
254C2×#10621883C2311yescharacteristic
255C2×#10621883C2311yescharacteristic
256C2×#10621883C2311yescharacteristic
257C2×#10621883C2311yescharacteristic
258C2×#10621884C2311yescharacteristic
259C2×#10621882C2311yescharacteristic
260C2×#10621872C2311yescharacteristic
261C2×#10621872C2311yescharacteristic
262C2×C8×D43C2311yescharacteristic
263C2×C8×D43C2311yescharacteristic
264#13063325C2311yescharacteristic
265#13063325C2311yescharacteristic
266#13063325C2311yescharacteristic
267#13063324—21no—
268#13063324—21no—
269#13063324—21no—
270#13063324—21no—
271#13063324C2311yescharacteristic
272#13063323—21no—
273#13063323C2311yescharacteristic
274#13063323C2311yescharacteristic
275#13063323C2311yescharacteristic
276#13063323C2311yescharacteristic
277#13063323C2311yescharacteristic
278#13063318—21no—
279#13063318—21no—
280#13063318—21no—
281#13063318—21no—
282#13063318—21no—
283#13063318—21no—
284#13063318—21no—
285#13063317C2311yescharacteristic
286#13063316—21no—
287#13063316—21no—
288#13063316C2311yescharacteristic
289#13063315—21no—
290#13063315—21no—
291#13063315—21no—
292#13063315—21no—
293#13063315—21no—
294#13063314C2311yescharacteristic
295#13063314C2311yescharacteristic
296#13063313C2311yescharacteristic
297#13063313C2311yescharacteristic
298#13063312—21no—
299#13063312C2311yescharacteristic
300#13063312C2311yescharacteristic
301#13063312C2311yescharacteristic
302#13063311—21no—
303#13063311—21no—
304#13063311—21no—
305#13063311—21no—
306#13063310—21no—
307#13063310—21no—
308#13063310—21no—
309#13063310—21no—
310#13063309—21no—
311#13063309—21no—
312#13063308—21no—
313#13063308—21no—
314#13063307—21no—
315#13063307—21no—
316#13063307—21no—
317#13063307—21no—
318#13063307—21no—
319#13063307—21no—
320#13063307—21no—
321#13063307—21no—
322#13063307—21no—
323#13063306—21no—
324#13063306—21no—
325#13063306—21no—
326#13063305—21no—
327#13063305—21no—
328#13063305C2311yescharacteristic
329#13063305C2311yescharacteristic
330#13063304—21no—
331#13063304—21no—
332#13063304C2311yescharacteristic
333#13063304C2311yescharacteristic
334#13063303—21no—
335#13063303—21no—
336#13063303—21no—
337#13063303—21no—
338#13063303—21no—
339#13063303—21no—
340#13063303—21no—
341#13063302—21no—
342#13063302—21no—
343#13063302—21no—
344#13063302—21no—
345#13063302—21no—
346#13063302—21no—
347#13063302—21no—
348#13063302—21no—
349#13063301—21no—
350#13063301—21no—
351#13063301—21no—
352#13063301—21no—
353#13063301C2311yescharacteristic
354#13063296C2311yescharacteristic
355#13063293—21no—
356Q8×Dic43—21no—
357Q8×Dic43C2311yescharacteristic
358C4×Dic86—21no—
359C4×Dic86—21no—
360C4×Dic86C2311yescharacteristic
361C4×Dic86C2311yescharacteristic
362#13063290—21no—
363#13063290C2311yescharacteristic
364#13063290C2311yescharacteristic
365D4×Dic43—21no—
366D4×Dic43C2311yescharacteristic
367C4×C22⋊D43—21no—
368C4×C22⋊D43—21no—
369(C22⋊D43)⋊C4—21no—
370(C22⋊D43)⋊C4—21no—
371(C22⋊D43)⋊C4—21no—
372#13063284—21no—
373#13063284C2311yescharacteristic
374#13063283—21no—
375#13063283—21no—
376#13063283D411yescharacteristic
377#13063283D411yescharacteristic
378#13063283C2311yescharacteristic
379#13063282—21no—
380#13063282—21no—
381#13063282C2311yescharacteristic
382#13063282C2311yescharacteristic
383#13063281—21no—
384#13063281—21no—
385#13063281D411yescharacteristic
386#13063281D411yescharacteristic
387C2×Dic43⋊C4—21no—
388C4⋊C4×D43—21no—
389C4⋊C4×D43—21no—
390C4⋊C4×D43—21no—
391C4⋊C4×D43—21no—
392C4⋊C4×D43—21no—
393C4⋊C4×D43D411yescharacteristic
394C4⋊C4×D43D411yescharacteristic
395C4⋊C4×D43C2311yescharacteristic
396C22⋊C4×D43—21no—
397C22⋊C4×D43—21no—
398C22⋊C4×D43—21no—
399C22⋊C4×D43—21no—
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#13063249C2311yescharacteristic
420#13063249C2311yescharacteristic
421#13063249C2311yescharacteristic
422#13063249C2311yescharacteristic
423#13063248C2311yescharacteristic
424#13063248C2311yescharacteristic
425#13063248C2311yescharacteristic
426#13063248C2311yescharacteristic
427#13063248C2311yescharacteristic
428#13063248C2311yescharacteristic
429#13063247C2311yescharacteristic
430#13063247C2311yescharacteristic
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×Q8×C43C2311yescharacteristic
449C2×Q16×C43C2311yescharacteristic
450C2×Q16×C43C2311yescharacteristic
451C2×Q16×C43C2311yescharacteristic
452C2×SD16×C43C2311yescharacteristic
453C2×SD16×C43C2311yescharacteristic
454C2×SD16×C43C2311yescharacteristic
455C2×SD16×C43C2311yescharacteristic
456C2×D8×C43C2311yescharacteristic
457C4⋊Q8×C43C2311yescharacteristic
458C4⋊Q8×C43C2311yescharacteristic
459C4⋊Q8×C43C2311yescharacteristic
460#126×C43—21no—
461#124×C43—21no—
462#124×C43C2311yescharacteristic
463#124×C43C2311yescharacteristic
464#124×C43C2311yescharacteristic
465#123×C43—21no—
466#123×C43—21no—
467#123×C43—21no—
468C22⋊Q8×C43—21no—
469C22⋊Q8×C43—21no—
470C22⋊Q8×C43—21no—
471C22⋊Q8×C43C2311yescharacteristic
472#121×C43C2311yescharacteristic
473C4×Q8×C43C2311yescharacteristic
474C4×D4×C43C2311yescharacteristic
475#117×C43C2311yescharacteristic
476C4⋊C8×C43C2311yescharacteristic
477C4⋊C8×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#103×C43C2311yescharacteristic
481#103×C43C2311yescharacteristic
482#103×C43C2311yescharacteristic
483#103×C43C2311yescharacteristic
484#102×C43C2311yescharacteristic
485#102×C43C2311yescharacteristic
486C22⋊C8×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488#97×C43C2311yescharacteristic
489C4×C8×C43C2311yescharacteristic
490C23×D43—21no—
491C23×D43C2×D411yescharacteristic
492#41×C43—41no—
493#41×C43—41no—
494C2×Q8×C43—21no—
495C2×Q8×C43—21no—
496C2×Q8×C43—41no—
497C2×Q8×C43—41no—
498C2×Q8×C43C2411yescharacteristic
499C2×Q8×C43C2411yescharacteristic
500C2×Q8×C43C2411yescharacteristic
501C2×Q8×C43C2411yescharacteristic
502C2×D4×C43—21no—
503C2×D4×C43—21no—
504C2×D4×C43C2411yescharacteristic
505C2×D4×C43C2411yescharacteristic
506C22×C4×C43—21no—
507C22×C4×C43—21no—
508C22×C4×C43—21no—
509C22×C4×C43C2411yescharacteristic
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C22×Dic43—21no—
516C22×Dic43—21no—
517C22×Dic43—21no—
518C22×Dic43—21no—
519C22×Dic43C2×D411yescharacteristic
520#10621902—22no—
521#10621902—22no—
522Q8×D43—22no—
523Q8×D43—22no—
524Q8×D43—22no—
525Q8×D43—22no—
526Q8×D43—22no—
527Q8×D43—22no—
528Q8×D43—41no—
529Q8×D43—41no—
530Q8×D43—41no—
531Q8×D43—41no—
532Q8×D43—41no—
533Q8×D43—41no—
534Q8×D43—44no—
535Q8×D43—44no—
536#10621900—22no—
537#10621900—22no—
538#10621900—22no—
539#10621900—22no—
540#10621900—44no—
541D4×D43—44no—
542D4×D43—41no—
543D4×D43—41no—
544#10621898—41no—
545#10621898—41no—
546#10621898—44no—
547C2×D172—21no—
548C2×D172C2411yescharacteristic
549C2×C4×D43—22no—
550C2×C4×D43—22no—
551C2×C4×D43—21no—
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43—21no—
555C2×C4×D43—21no—
556C2×C4×D43—21no—
557C2×C4×D43—21no—
558C2×C4×D43—21no—
559C2×C4×D43—21no—
560C2×C4×D43—44no—
561C2×C4×D43—44no—
562C2×C4×D43C2×D411yescharacteristic
563C2×C4×D43C2×D411yescharacteristic
564C2×C4×D43C2×D411yescharacteristic
565C2×C4×D43C2×D411yescharacteristic
566C2×C4×D43C2×D411yescharacteristic
567C2×C4×D43C2×D411yescharacteristic
568C2×C4×D43C2411yescharacteristic
569C2×C4×D43C2411yescharacteristic
570C2×Dic86—21no—
571C2×Dic86—21no—
572C2×Dic86—21no—
573C2×Dic86—21no—
574C2×Dic86—21no—
575C2×Dic86—21no—
576C2×Dic86—21no—
577C2×Dic86—21no—
578C2×Dic86—41no—
579C2×Dic86—41no—
580C2×Dic86—44no—
581C2×Dic86C2411yescharacteristic
582C2×Dic86C2411yescharacteristic
583C2×Dic86C2411yescharacteristic
584C2×Dic86C2411yescharacteristic
585C2×Dic86C2411yescharacteristic
586Q16×C43—41no—
587Q16×C43—41no—
588Q16×C43—41no—
589SD16×C43—41no—
590SD16×C43—41no—
591SD16×C43—41no—
592SD16×C43—41no—
593D8×C43—41no—
594C2×C8×C43C2411yescharacteristic
595C2×C8×C43C2411yescharacteristic
596C2×C8×C43C2411yescharacteristic
597C2×C8×C43C2411yescharacteristic
598C4⋊C4×C43—21no—
599C4⋊C4×C43—21no—
600C4⋊C4×C43—21no—
601C4⋊C4×C43—21no—
602C4⋊C4×C43—21no—
603C4⋊C4×C43—21no—
604C4⋊C4×C43—21no—
605C4⋊C4×C43C2×D411yescharacteristic
606C4⋊C4×C43C2×D411yescharacteristic
607C4⋊C4×C43C2411yescharacteristic
608C4⋊C4×C43C2411yescharacteristic
609C22⋊C4×C43—21no—
610C22⋊C4×C43—21no—
611C22⋊C4×C43—21no—
612C22⋊C4×C43—21no—
613C22⋊C4×C43—21no—
614C22⋊C4×C43—21no—
615C22⋊C4×C43—21no—
616C22⋊C4×C43—21no—
617C22⋊C4×C43—21no—
618C22⋊C4×C43C2×D411yescharacteristic
619C22⋊C4×C43C2×D411yescharacteristic
620C42×C43—21no—
621C42×C43C2411yescharacteristic
622C42×C43C2411yescharacteristic
623C22⋊Dic43—21no—
624C22⋊Dic43—21no—
625C22⋊Dic43—21no—
626C22⋊Dic43—21no—
627C22⋊Dic43—21no—
628C22⋊Dic43—21no—
629C22⋊Dic43—21no—
630C22⋊Dic43—21no—
631C22⋊Dic43—21no—
632C22⋊Dic43—21no—
633C22⋊Dic43C2×D411yescharacteristic
634C22⋊Dic43C2×D411yescharacteristic
635#10621885—41no—
636#10621885—41no—
637#10621885—41no—
638#10621885—41no—
639#10621885—41no—
640#10621885—41no—
641#10621885—41no—
642#10621885—41no—
643#10621885—41no—
644#10621884—41no—
645#10621883—41no—
646#10621883—41no—
647#10621883—41no—
648#10621883—41no—
649#10621883—41no—
650#10621882—41no—
651(C2×D43)⋊C4—21no—
652(C2×D43)⋊C4—21no—
653(C2×D43)⋊C4—21no—
654(C2×D43)⋊C4—21no—
655(C2×D43)⋊C4—21no—
656(C2×D43)⋊C4—21no—
657(C2×D43)⋊C4—21no—
658(C2×D43)⋊C4—21no—
659(C2×D43)⋊C4—21no—
660(C2×D43)⋊C4—21no—
661(C2×D43)⋊C4—21no—
662(C2×D43)⋊C4—21no—
663(C2×D43)⋊C4C2×D411yescharacteristic
664(C2×D43)⋊C4C2×D411yescharacteristic
665(C2×D43)⋊C4C2×D411yescharacteristic
666(C2×D43)⋊C4C2×D411yescharacteristic
667C4⋊Dic43—21no—
668C4⋊Dic43—21no—
669C4⋊Dic43—21no—
670C4⋊Dic43—21no—
671C4⋊Dic43—21no—
672C4⋊Dic43—21no—
673C4⋊Dic43—21no—
674C4⋊Dic43—21no—
675C4⋊Dic43—21no—
676C4⋊Dic43—21no—
677C4⋊Dic43C2×D411yescharacteristic
678C4⋊Dic43C2×D411yescharacteristic
679C4⋊Dic43C2411yescharacteristic
680C4⋊Dic43C2411yescharacteristic
681Dic43⋊C4—21no—
682Dic43⋊C4—21no—
683Dic43⋊C4—21no—
684Dic43⋊C4—21no—
685Dic43⋊C4—21no—
686Dic43⋊C4—21no—
687Dic43⋊C4—21no—
688Dic43⋊C4—21no—
689Dic43⋊C4—21no—
690Dic43⋊C4—21no—
691Dic43⋊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⋊C4C2×D411yescharacteristic
704Dic43⋊C4C2×D411yescharacteristic
705Dic43⋊C4C2×D411yescharacteristic
706Dic43⋊C4C2×D411yescharacteristic
707C4×Dic43—21no—
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—
726Dic172—41no—
727Dic172—41no—
728Dic172—41no—
729#10621873—41no—
730#10621873—41no—
731#10621872—22no—
732#10621872—22no—
733C8×D43—22no—
734C8×D43—22no—
735C23×C43—21no—
736C23×C43—21no—
737C23×C43C22×D411yescharacteristic
738C22×D43—22no—
739C22×D43—22no—
740C22×D43—21no—
741C22×D43—41no—
742C22×D43—42no—
743C22×D43—42no—
744C22×D43—42no—
745C22×D43C22×D411yescharacteristic
746C22×D43C22×D411yescharacteristic
747Q8×C43—21no—
748Q8×C43—21no—
749Q8×C43—21no—
750Q8×C43—21no—
751Q8×C43—21no—
752Q8×C43—21no—
753Q8×C43—21no—
754Q8×C43—21no—
755Q8×C43—42no—
756Q8×C43—81no—
757D4×C43—21no—
758D4×C43—21no—
759D4×C43—21no—
760D4×C43—21no—
761D4×C43—42no—
762D4×C43—81no—
763C2×C4×C43—21no—
764C2×C4×C43—21no—
765C2×C4×C43—21no—
766C2×C4×C43—21no—
767C2×C4×C43—21no—
768C2×C4×C43—21no—
769C2×C4×C43—21no—
770C2×C4×C43—21no—
771C2×C4×C43—42no—
772C2×C4×C43—42no—
773C2×C4×C43—81no—
774C2×C4×C43C22×D411yescharacteristic
775C2×C4×C43C22×D411yescharacteristic
776C2×C4×C43C22×D411yescharacteristic
777C2×C4×C43C22×D411yescharacteristic
778C2×C4×C43C22×D411yescharacteristic
779C2×C4×C43C2511yescharacteristic
780C22⋊D43—42no—
781C22⋊D43—42no—
782C22⋊D43—42no—
783C22⋊D43—42no—
784C22⋊D43—42no—
785C2×Dic43—22no—
786C2×Dic43—21no—
787C2×Dic43—21no—
788C2×Dic43—21no—
789C2×Dic43—21no—
790C2×Dic43—21no—
791C2×Dic43—21no—
792C2×Dic43—21no—
793C2×Dic43—42no—
794C2×Dic43—42no—
795C2×Dic43—42no—
796C2×Dic43—81no—
797C2×Dic43C22×D411yescharacteristic
798C2×Dic43C22×D411yescharacteristic
799C2×Dic43C22×D411yescharacteristic
800C2×Dic43C22×D411yescharacteristic
801C2×Dic43C22×D411yescharacteristic
802C2×Dic43C22×D411yescharacteristic
803D172—21no—
804D172—21no—
805D172—42no—
806C4×D43—22no—
807C4×D43—22no—
808C4×D43—22no—
809C4×D43—21no—
810C4×D43—21no—
811C4×D43—22no—
812C4×D43—41no—
813C4×D43—41no—
814C4×D43—42no—
815C4×D43—42no—
816C4×D43—42no—
817C4×D43—42no—
818C4×D43—42no—
819C4×D43—42no—
820C4×D43—42no—
821C4×D43—42no—
822C4×D43—81no—
823C4×D43H(5,𝔽2)12yes—
824C4×D43H(5,𝔽2)12yes—
825Dic86—21no—
826Dic86—21no—
827Dic86—21no—
828Dic86—21no—
829Dic86—21no—
830Dic86—21no—
831Dic86—21no—
832Dic86—21no—
833Dic86—21no—
834Dic86—21no—
835Dic86—42no—
836Dic86—42no—
837Dic86—42no—
838Dic86—42no—
839Dic86—42no—
840Dic86—42no—
841Dic86—42no—
842Dic86—81no—
843C8×C43—21no—
844C8×C43—21no—
845C8×C43—21no—
846C8×C43—21no—
847C43⋊C8—21no—
848C43⋊C8—21no—
849C43⋊C8—21no—
850C43⋊C8—21no—
851#60814—431nomaximal, Sylow
852C22×C43—21no—
853C22×C43—21no—
854C22×C43—21no—
855C22×C43—41no—
856C22×C43—41no—
857C22×C43—41no—
858C22×C43—41no—
859C22×C43—41no—
860C22×C43—41no—
861C22×C43C23×D411yescharacteristic
862C2×D43—21no—
863C2×D43—21no—
864C2×D43—21no—
865C2×D43—21no—
866C2×D43—44no—
867C2×D43—41no—
868C2×D43—41no—
869C2×D43—41no—
870C2×D43—84no—
871C2×D43#53512yes—
872C2×D43#57812yes—
873C4×C43—21no—
874C4×C43—21no—
875C4×C43—21no—
876C4×C43—21no—
877C4×C43—21no—
878C4×C43—41no—
879C4×C43—41no—
880C4×C43—41no—
881C4×C43—41no—
882C4×C43—41no—
883C4×C43—41no—
884C4×C43C2×H(5,𝔽2)11yescharacteristic
885C4×C43C2×H(5,𝔽2)11yescharacteristic
886Dic43—21no—
887Dic43—21no—
888Dic43—21no—
889Dic43—21no—
890Dic43—21no—
891Dic43—41no—
892Dic43—41no—
893Dic43—41no—
894Dic43—41no—
895Dic43—41no—
896Dic43—41no—
897Dic43—41no—
898Dic43#53512yes—
899#3495—431no—
900C2×#536—431no—
901#3225—431no—
902#3225—431no—
903#3225—431no—
904#3225D4311yescharacteristic, complemented
905#3223—431no—
906#3223—431no—
907#3223—431no—
908#3223—431no—
909#3218—431no—
910#3218—431no—
911#3215—431no—
912#3215—431no—
913#3211—431no—
914#3211—431no—
915#3209—431no—
916#3209—431no—
917#3156—431no—
918#3156—431no—
919#3137—431no—
920#3137—431no—
921#3046—431no—
922#3046—431no—
923#3044—431no—
924#3044—431no—
925#3007—431no—
926#3004—431no—
927#3002—431no—
928C2×#451—431no—
929#2924—431no—
930C2×C43—41no—
931C2×C43—81no—
932C2×C43—81no—
933C2×C43C2×#53511yescharacteristic
934C2×C43C2×#57811yescharacteristic
935C2×C43#358611yescharacteristic
936D43—22no—
937D43—22no—
938D43—81no—
939C22×#41—431no—
940C23×Q8—431no—
941C2×#137—431no—
942C2×#137—431no—
943C2×#137—431no—
944C2×#137—431no—
945C2×#135—431no—
946C2×#135—431no—
947C22×Q16—431no—
948C22×Q16—431no—
949#556—861no—
950#554—861no—
951#552—861no—
952#552—861no—
953#552—861no—
954#552—861no—
955#551—861no—
956#551—861no—
957#544—431no—
958#542—431no—
959#542C2×D4311yescharacteristic, complemented
960#541—431no—
961#541—431no—
962#536—431no—
963#536—431no—
964#536—431no—
965#536—431no—
966#536—431no—
967#536—431no—
968#536—431no—
969#536—431no—
970#536—861no—
971#536—861no—
972#536—861no—
973#536—861no—
974#536C2×D4311yescharacteristic
975#533—431no—
976#533—431no—
977C2×C4⋊Q8—431no—
978C2×C4⋊Q8—431no—
979#529—431no—
980#529—431no—
981C2×#124—431no—
982C2×#124—431no—
983#525—431no—
984C2×#123—861no—
985C2×#123—861no—
986C2×C22⋊Q8—431no—
987C2×C22⋊Q8—861no—
988C2×C22⋊Q8—861no—
989#520—431no—
990#519—431no—
991C2×#117—431no—
992#497—431no—
993#497—431no—
994#497—431no—
995#497—431no—
996#497—431no—
997#497—431no—
998#497—431no—
999#497C2×D4311yescharacteristic, complemented
1000#495—431no—
1001#495—431no—
1002#495—431no—
1003#495C2×D4311yescharacteristic, complemented
1004#494—431no—
1005#494—431no—
1006#494—431no—
1007#494—431no—
1008#491—431no—
1009#491—431no—
1010#491—431no—
1011#491—431no—
1012#489—431no—
1013#489—431no—
1014#489—431no—
1015#489C2×D4311yescharacteristic, complemented
1016#488—431no—
1017#488—431no—
1018#488—431no—
1019#488—431no—
1020#487—431no—
1021#487—431no—
1022#487—431no—
1023#487C2×D4311yescharacteristic, complemented
1024#464—431no—
1025#464—431no—
1026#464—431no—
1027#464—431no—
1028#464—431no—
1029#464—431no—
1030#464—431no—
1031#464—431no—
1032#464—431no—
1033#464—431no—
1034#464—431no—
1035#464C2×D4311yescharacteristic, complemented
1036#463—431no—
1037#463—431no—
1038#463—431no—
1039#463C2×D4311yescharacteristic, complemented
1040#462—431no—
1041#462—431no—
1042#462—431no—
1043#462—431no—
1044#462—431no—
1045#462—431no—
1046#462—431no—
1047#462—431no—
1048#462—431no—
1049#462—431no—
1050#462—431no—
1051#462C2×D4311yescharacteristic, complemented
1052#461—431no—
1053#461—431no—
1054#461—431no—
1055#461C2×D4311yescharacteristic, complemented
1056#452—431no—
1057#452—431no—
1058#452—431no—
1059#452—431no—
1060#452—431no—
1061#452C2×D4311yescharacteristic
1062#451—431no—
1063#451—431no—
1064#451—431no—
1065#451—431no—
1066#451—431no—
1067#451—431no—
1068#451—431no—
1069#451—431no—
1070#451—431no—
1071#451—431no—
1072#451—431no—
1073#451—431no—
1074#451—431no—
1075#451—431no—
1076#451C2×D4311yescharacteristic, complemented
1077#450—431no—
1078#450—431no—
1079#450—431no—
1080#449—431no—
1081#449C2×D4311yescharacteristic
1082#448—431no—
1083#448—431no—
1084#448—431no—
1085#448—431no—
1086#448C2×D4311yescharacteristic, complemented
1087#447—431no—
1088#433—431no—
1089#433—431no—
1090#433—431no—
1091#433C2×D4311yescharacteristic, complemented
1092#432—431no—
1093#432—431no—
1094#431—431no—
1095#431—431no—
1096#424—431no—
1097#424—431no—
1098#419—431no—
1099#419—431no—
1100#417—431no—
1101#417—431no—
1102#416—431no—
1103#416—431no—
1104C2×#103—431no—
1105C2×#103—431no—
1106#407—431no—
1107C2×C22⋊C8—431no—
1108#405—431no—
1109#405—431no—
1110C43#6081411yescharacteristic, complemented, Sylow
1111C2×#41—431no—
1112C2×#41—431no—
1113C2×#41—431no—
1114C2×#41—431no—
1115C2×#41—861no—
1116C2×#41—861no—
1117C2×#41—1722no—
1118C2×#41—1722no—
1119C2×#41C22×D4311yescharacteristic
1120C22×Q8—431no—
1121C22×Q8—431no—
1122C22×Q8—431no—
1123C22×Q8—431no—
1124C22×Q8—431no—
1125C22×Q8—431no—
1126C22×Q8—431no—
1127C22×Q8—861no—
1128C22×Q8—861no—
1129C22×Q8—861no—
1130C22×Q8—1722no—
1131C22×Q8—1722no—
1132C22×Q8C22×D4311yescharacteristic
1133C22×D4—431no—
1134C22×D4—861no—
1135C23×C4—431no—
1136C23×C4—861no—
1137C23×C4—861no—
1138#137—1722no—
1139#137—1722no—
1140#137—1722no—
1141#137—1722no—
1142#135—1722no—
1143#135—1722no—
1144C2×Q16—431no—
1145C2×Q16—431no—
1146C2×Q16—431no—
1147C2×Q16—431no—
1148C2×Q16—431no—
1149C2×Q16—431no—
1150C2×Q16—431no—
1151C2×Q16—431no—
1152C2×Q16—431no—
1153C2×Q16—431no—
1154C2×Q16—431no—
1155C2×Q16—431no—
1156C2×Q16—431no—
1157C2×Q16—431no—
1158C2×Q16—431no—
1159C2×Q16—1722no—
1160C2×Q16—1722no—
1161C2×Q16C22×D4311yescharacteristic
1162C2×Q16C22×D4311yescharacteristic
1163C2×Q16C22×D4311yescharacteristic
1164C2×SD16—431no—
1165C2×SD16—431no—
1166C2×SD16—431no—
1167C2×SD16—431no—
1168C2×SD16—431no—
1169C2×SD16—431no—
1170C2×SD16—431no—
1171C2×SD16—431no—
1172C2×SD16C22×D4311yescharacteristic
1173C2×SD16C22×D4311yescharacteristic
1174C2×SD16C22×D4311yescharacteristic
1175C2×SD16C22×D4311yescharacteristic
1176C2×D8—431no—
1177C2×D8C22×D4311yescharacteristic
1178C2×M16—431no—
1179C2×M16—431no—
1180C22×C8—431no—
1181C22×C8—431no—
1182C4⋊Q8—431no—
1183C4⋊Q8—431no—
1184C4⋊Q8—431no—
1185C4⋊Q8—431no—
1186C4⋊Q8—431no—
1187C4⋊Q8—431no—
1188C4⋊Q8—431no—
1189C4⋊Q8—431no—
1190C4⋊Q8—431no—
1191C4⋊Q8—861no—
1192C4⋊Q8—861no—
1193C4⋊Q8—861no—
1194C4⋊Q8—861no—
1195C4⋊Q8—861no—
1196C4⋊Q8C22×D4311yescharacteristic
1197C4⋊Q8C22×D4311yescharacteristic
1198C4⋊Q8C22×D4311yescharacteristic
1199#126—21no—
1200#126—861no—
1201#126—861no—
1202#126—861no—
1203#126—861no—
1204#126—861no—
1205#126—861no—
1206#126—861no—
1207#125—431no—
1208#125—431no—
1209#125—861no—
1210#125—861no—
1211#125—861no—
1212#125—861no—
1213#125—861no—
1214#125—861no—
1215#125—861no—
1216#124—21no—
1217#124—431no—
1218#124—431no—
1219#124—431no—
1220#124—431no—
1221#124—431no—
1222#124—431no—
1223#124—431no—
1224#124—861no—
1225#124—861no—
1226#124—861no—
1227#124—861no—
1228#124—861no—
1229#124C22×D4311yescharacteristic
1230#124C22×D4311yescharacteristic
1231#124C22×D4311yescharacteristic
1232#123—21no—
1233#123—21no—
1234#123—21no—
1235#123—861no—
1236#123—861no—
1237#123—861no—
1238#123—861no—
1239#123—861no—
1240#123—861no—
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—
1255C22⋊Q8—21no—
1256C22⋊Q8—21no—
1257C22⋊Q8—21no—
1258C22⋊Q8—431no—
1259C22⋊Q8—431no—
1260C22⋊Q8—431no—
1261C22⋊Q8—431no—
1262C22⋊Q8—431no—
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⋊Q8—861no—
1279C22⋊Q8—861no—
1280C22⋊Q8—861no—
1281C22⋊Q8—861no—
1282C22⋊Q8—861no—
1283C22⋊Q8—861no—
1284C22⋊Q8—861no—
1285C22⋊Q8—861no—
1286C22⋊Q8C22×D4311yescharacteristic
1287#121—431no—
1288#121C22×D4311yescharacteristic
1289#120—861no—
1290C4×Q8—431no—
1291C4×Q8—431no—
1292C4×Q8—431no—
1293C4×Q8—431no—
1294C4×Q8—431no—
1295C4×Q8—861no—
1296C4×Q8—861no—
1297C4×Q8—861no—
1298C4×Q8—861no—
1299C4×Q8C22×D4311yescharacteristic
1300C4×D4—431no—
1301C4×D4—861no—
1302C4×D4—861no—
1303C4×D4—861no—
1304C4×D4—861no—
1305C4×D4—861no—
1306C4×D4—861no—
1307C4×D4C22×D4311yescharacteristic
1308#117—431no—
1309#117—431no—
1310#117—431no—
1311#117—431no—
1312#117—431no—
1313#117—431no—
1314#117—431no—
1315#117—431no—
1316#117—861no—
1317#117—861no—
1318#117—861no—
1319#117—861no—
1320#117—861no—
1321#117—861no—
1322#117—861no—
1323#117C22×D4311yescharacteristic
1324C2×C4⋊C4—431no—
1325C2×C4⋊C4—431no—
1326C2×C4⋊C4—431no—
1327C2×C4⋊C4—861no—
1328C2×C4⋊C4—861no—
1329C2×C4⋊C4—861no—
1330C2×C4⋊C4—861no—
1331C2×C4⋊C4—861no—
1332C2×C4⋊C4—861no—
1333C2×C22⋊C4—431no—
1334C2×C22⋊C4—431no—
1335C2×C22⋊C4—861no—
1336C2×C22⋊C4—861no—
1337C2×C22⋊C4—861no—
1338C2×C22⋊C4—861no—
1339C2×C22⋊C4—861no—
1340C2×C42—431no—
1341C2×C42—431no—
1342C4⋊C8—431no—
1343C4⋊C8—431no—
1344C4⋊C8—431no—
1345C4⋊C8—431no—
1346C4⋊C8—431no—
1347C4⋊C8—431no—
1348C4⋊C8C22×D4311yescharacteristic
1349C4⋊C8C22×D4311yescharacteristic
1350#103—431no—
1351#103—431no—
1352#103—431no—
1353#103—431no—
1354#103—431no—
1355#103—431no—
1356#103—431no—
1357#103—431no—
1358#103—431no—
1359#103—431no—
1360#103—431no—
1361#103—431no—
1362#103—431no—
1363#103—431no—
1364#103—431no—
1365#103—431no—
1366#103—431no—
1367#103—431no—
1368#103C22×D4311yescharacteristic
1369#103C22×D4311yescharacteristic
1370#103C22×D4311yescharacteristic
1371#103C22×D4311yescharacteristic
1372#103C22×D4311yescharacteristic
1373#103C22×D4311yescharacteristic
1374#102—431no—
1375#102—431no—
1376#102—431no—
1377#102—431no—
1378#102—431no—
1379#102—431no—
1380#102C22×D4311yescharacteristic
1381#102C22×D4311yescharacteristic
1382C22⋊C8—431no—
1383C22⋊C8—431no—
1384C22⋊C8—431no—
1385C22⋊C8—431no—
1386C22⋊C8—431no—
1387C22⋊C8—431no—
1388C22⋊C8C22×D4311yescharacteristic
1389C22⋊C8C22×D4311yescharacteristic
1390#97—431no—
1391#97—431no—
1392#97—431no—
1393#97C22×D4311yescharacteristic
1394C4×C8—431no—
1395C4×C8—431no—
1396C4×C8—431no—
1397C4×C8C22×D4311yescharacteristic
1398C24—431no—
1399C24—861no—
1400#41—41no—
1401#41—41no—
1402#41—862no—
1403#41—862no—
1404#41—862no—
1405#41—862no—
1406#41—862no—
1407#41—862no—
1408#41—1721no—
1409#41—1721no—
1410#41—1724no—
1411#41—1724no—
1412C2×Q8—21no—
1413C2×Q8—21no—
1414C2×Q8—41no—
1415C2×Q8—41no—
1416C2×Q8—431no—
1417C2×Q8—431no—
1418C2×Q8—431no—
1419C2×Q8—431no—
1420C2×Q8—431no—
1421C2×Q8—861no—
1422C2×Q8—861no—
1423C2×Q8—861no—
1424C2×Q8—861no—
1425C2×Q8—861no—
1426C2×Q8—861no—
1427C2×Q8—861no—
1428C2×Q8—862no—
1429C2×Q8—862no—
1430C2×Q8—862no—
1431C2×Q8—862no—
1432C2×Q8—862no—
1433C2×Q8—862no—
1434C2×Q8—861no—
1435C2×Q8—1721no—
1436C2×Q8—1721no—
1437C2×Q8—1724no—
1438C2×Q8—1721no—
1439C2×Q8—1721no—
1440C2×Q8—1721no—
1441C2×Q8—1721no—
1442C2×Q8—1721no—
1443C2×Q8—1721no—
1444C2×Q8—1724no—
1445C2×Q8—1724no—
1446C2×Q8C23×D4311yescharacteristic
1447C2×Q8C23×D4311yescharacteristic
1448C2×Q8C23×D4311yescharacteristic
1449C2×Q8C23×D4311yescharacteristic
1450C2×D4—21no—
1451C2×D4—21no—
1452C2×D4—431no—
1453C2×D4—861no—
1454C2×D4—861no—
1455C2×D4—861no—
1456C2×D4—861no—
1457C2×D4—861no—
1458C2×D4—861no—
1459C2×D4—1721no—
1460C2×D4—1721no—
1461C2×D4—1724no—
1462C2×D4C23×D4311yescharacteristic
1463C2×D4C23×D4311yescharacteristic
1464C22×C4—21no—
1465C22×C4—21no—
1466C22×C4—21no—
1467C22×C4—431no—
1468C22×C4—431no—
1469C22×C4—431no—
1470C22×C4—431no—
1471C22×C4—431no—
1472C22×C4—431no—
1473C22×C4—431no—
1474C22×C4—431no—
1475C22×C4—431no—
1476C22×C4—862no—
1477C22×C4—862no—
1478C22×C4—861no—
1479C22×C4—861no—
1480C22×C4—861no—
1481C22×C4—861no—
1482C22×C4—861no—
1483C22×C4—861no—
1484C22×C4—861no—
1485C22×C4—861no—
1486C22×C4—861no—
1487C22×C4—861no—
1488C22×C4—861no—
1489C22×C4—861no—
1490C22×C4—861no—
1491C22×C4—1724no—
1492C22×C4—1724no—
1493C22×C4C23×D4311yescharacteristic
1494Q16—41no—
1495Q16—41no—
1496Q16—41no—
1497Q16—1721no—
1498Q16—1721no—
1499Q16—1721no—
1500Q16—1721no—
1501Q16—1721no—
1502Q16—1721no—
1503Q16—1721no—
1504Q16—1721no—
1505Q16—1721no—
1506Q16—1721no—
1507Q16—1721no—
1508Q16—1721no—
1509Q16—1721no—
1510Q16—1721no—
1511Q16—1721no—
1512SD16—41no—
1513SD16—41no—
1514SD16—41no—
1515SD16—41no—
1516SD16—1721no—
1517SD16—1721no—
1518SD16—1721no—
1519SD16—1721no—
1520SD16—1721no—
1521SD16—1721no—
1522SD16—1721no—
1523SD16—1721no—
1524D8—41no—
1525D8—1721no—
1526M16—862no—
1527M16—862no—
1528C2×C8—431no—
1529C2×C8—431no—
1530C2×C8—431no—
1531C2×C8—431no—
1532C2×C8—862no—
1533C2×C8—862no—
1534C2×C8C23×D4311yescharacteristic
1535C2×C8C23×D4311yescharacteristic
1536C2×C8C23×D4311yescharacteristic
1537C2×C8C23×D4311yescharacteristic
1538C4⋊C4—21no—
1539C4⋊C4—21no—
1540C4⋊C4—21no—
1541C4⋊C4—21no—
1542C4⋊C4—21no—
1543C4⋊C4—21no—
1544C4⋊C4—21no—
1545C4⋊C4—431no—
1546C4⋊C4—431no—
1547C4⋊C4—431no—
1548C4⋊C4—431no—
1549C4⋊C4—431no—
1550C4⋊C4—431no—
1551C4⋊C4—431no—
1552C4⋊C4—431no—
1553C4⋊C4—861no—
1554C4⋊C4—861no—
1555C4⋊C4—861no—
1556C4⋊C4—861no—
1557C4⋊C4—861no—
1558C4⋊C4—861no—
1559C4⋊C4—861no—
1560C4⋊C4—861no—
1561C4⋊C4—861no—
1562C4⋊C4—861no—
1563C4⋊C4—861no—
1564C4⋊C4—861no—
1565C4⋊C4—861no—
1566C4⋊C4—861no—
1567C4⋊C4—861no—
1568C4⋊C4—861no—
1569C4⋊C4—861no—
1570C4⋊C4—861no—
1571C4⋊C4—861no—
1572C4⋊C4—861no—
1573C4⋊C4—861no—
1574C4⋊C4—861no—
1575C4⋊C4—861no—
1576C4⋊C4—861no—
1577C4⋊C4—861no—
1578C4⋊C4—861no—
1579C4⋊C4—861no—
1580C4⋊C4—861no—
1581C4⋊C4—861no—
1582C4⋊C4—861no—
1583C4⋊C4—861no—
1584C4⋊C4—861no—
1585C4⋊C4D4×D4311yescharacteristic
1586C4⋊C4D4×D4311yescharacteristic
1587C4⋊C4C23×D4311yescharacteristic
1588C4⋊C4C23×D4311yescharacteristic
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—431no—
1599C22⋊C4—431no—
1600C22⋊C4—431no—
1601C22⋊C4—431no—
1602C22⋊C4—431no—
1603C22⋊C4—431no—
1604C22⋊C4—861no—
1605C22⋊C4—861no—
1606C22⋊C4—861no—
1607C22⋊C4—861no—
1608C22⋊C4—861no—
1609C22⋊C4—861no—
1610C22⋊C4—861no—
1611C22⋊C4—861no—
1612C22⋊C4—861no—
1613C22⋊C4—861no—
1614C22⋊C4—861no—
1615C22⋊C4—861no—
1616C22⋊C4—861no—
1617C22⋊C4—861no—
1618C22⋊C4—861no—
1619C22⋊C4—861no—
1620C22⋊C4—861no—
1621C22⋊C4—861no—
1622C22⋊C4—861no—
1623C22⋊C4—861no—
1624C22⋊C4—861no—
1625C22⋊C4—861no—
1626C22⋊C4D4×D4311yescharacteristic
1627C22⋊C4D4×D4311yescharacteristic
1628C42—21no—
1629C42—431no—
1630C42—431no—
1631C42—431no—
1632C42—431no—
1633C42—431no—
1634C42—431no—
1635C42—861no—
1636C42—861no—
1637C42—861no—
1638C42—861no—
1639C42—861no—
1640C42—861no—
1641C42C23×D4311yescharacteristic
1642C42C23×D4311yescharacteristic
1643C23—21no—
1644C23—21no—
1645C23—431no—
1646C23—431no—
1647C23—862no—
1648C23—862no—
1649C23—861no—
1650C23—1721no—
1651C23—1722no—
1652C23—1722no—
1653C23—1722no—
1654C23C2×D4×D4311yescharacteristic
1655Q8—21no—
1656Q8—21no—
1657Q8—21no—
1658Q8—21no—
1659Q8—21no—
1660Q8—21no—
1661Q8—21no—
1662Q8—21no—
1663Q8—42no—
1664Q8—81no—
1665Q8—861no—
1666Q8—861no—
1667Q8—861no—
1668Q8—861no—
1669Q8—861no—
1670Q8—861no—
1671Q8—861no—
1672Q8—861no—
1673Q8—861no—
1674Q8—861no—
1675Q8—3441no—
1676Q8—1722no—
1677Q8—1722no—
1678Q8—1722no—
1679Q8—1722no—
1680Q8—1722no—
1681Q8—1722no—
1682Q8—1722no—
1683D4—21no—
1684D4—21no—
1685D4—21no—
1686D4—21no—
1687D4—42no—
1688D4—81no—
1689D4—861no—
1690D4—861no—
1691D4—1722no—
1692D4—1722no—
1693D4—1722no—
1694D4—1722no—
1695D4—1722no—
1696D4—1722no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—42no—
1706C2×C4—42no—
1707C2×C4—81no—
1708C2×C4—431no—
1709C2×C4—432no—
1710C2×C4—432no—
1711C2×C4—431no—
1712C2×C4—431no—
1713C2×C4—431no—
1714C2×C4—431no—
1715C2×C4—431no—
1716C2×C4—862no—
1717C2×C4—862no—
1718C2×C4—862no—
1719C2×C4—862no—
1720C2×C4—862no—
1721C2×C4—861no—
1722C2×C4—861no—
1723C2×C4—861no—
1724C2×C4—861no—
1725C2×C4—861no—
1726C2×C4—861no—
1727C2×C4—861no—
1728C2×C4—861no—
1729C2×C4—861no—
1730C2×C4—3441no—
1731C2×C4—3441no—
1732C2×C4—1721no—
1733C2×C4—1721no—
1734C2×C4—1722no—
1735C2×C4—1722no—
1736C2×C4—1722no—
1737C2×C4—1722no—
1738C2×C4—1722no—
1739C2×C4—1722no—
1740C2×C4—1722no—
1741C2×C4—1722no—
1742C2×C4—1722no—
1743C2×C4—1722no—
1744C2×C4—1722no—
1745C2×C4C2×D4×D4311yescharacteristic
1746C2×C4C2×D4×D4311yescharacteristic
1747C2×C4C2×D4×D4311yescharacteristic
1748C2×C4C2×D4×D4311yescharacteristic
1749C2×C4C2×D4×D4311yescharacteristic
1750C2×C4C24×D4311yescharacteristic
1751C8—21no—
1752C8—21no—
1753C8—21no—
1754C8—21no—
1755C8—861no—
1756C8—861no—
1757C8—861no—
1758C8—861no—
1759C22—21no—
1760C22—21no—
1761C22—21no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—432no—
1769C22—432no—
1770C22—861no—
1771C22—861no—
1772C22—861no—
1773C22—861no—
1774C22—3444no—
1775C22—1724no—
1776C22—1721no—
1777C22—1721no—
1778C22—1721no—
1779C22C22×D4×D4311yescharacteristic
1780C4—21no—
1781C4—21no—
1782C4—21no—
1783C4—21no—
1784C4—21no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—432no—
1792C4—861no—
1793C4—861no—
1794C4—861no—
1795C4—861no—
1796C4—861no—
1797C4—1721no—
1798C4—1721no—
1799C4—1721no—
1800C4—1721no—
1801C4—1721no—
1802C4—1721no—
1803C4—1721no—
1804C4H(5,𝔽2)×D4311yescharacteristic
1805C4H(5,𝔽2)×D4311yescharacteristic
1806C2—41no—
1807C2—81no—
1808C2—81no—
1809C2—862no—
1810C2—862no—
1811C2—3441no—
1812C2#535×D4311yescharacteristic
1813C2#578×D4311yescharacteristic
1814C2#1914937711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3225C2
socleC22×C43C23×D4
prime radical#19143810C2
hypercenter#3225D43
hypocenterC43#60814
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3225

Complements

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

NH ≅ G/Ntype
1. #19148345C2semidirect
2. #536×D43C2semidirect
3. #19145702C2semidirect
4. #19145700C2semidirect
5. #19145698C2semidirect
6. #19145680C2semidirect
7. #19145678C2semidirect
8. #19145676C2semidirect
9. #19145674C2semidirect
10. #19145621C2semidirect
11. #19145618C2semidirect
12. #19145599C2semidirect
13. #19145596C2semidirect
14. #19145558C2semidirect
15. #19145555C2semidirect
16. #19145544C2semidirect
17. #19145542C2semidirect
18. #19145087C2semidirect
19. #19145085C2semidirect
20. #19144957C2semidirect
21. #19144955C2semidirect
22. #19144146C2semidirect
23. #19144140C2semidirect
24. #19144123C2semidirect
25. #19144120C2semidirect
26. #19143852C2semidirect
27. #19143826C2semidirect
29. #451×D43C2semidirect
30. #19143251C2semidirect
31. C43×#3225C2semidirect
36. C2×#13063354C22semidirect
37. C2×#13063354C22semidirect
40. C2×Q16×D43C22semidirect
41. C2×Q16×D43C22semidirect
50. #14583526C22semidirect
51. #14583516C22semidirect
52. #14583511C22semidirect
53. #14583509C22semidirect
65. #14583469C22semidirect
80. #14583378C22semidirect
81. #14583375C22semidirect
83. #14583294C22semidirect
84. #14583294C22semidirect
85. #14583293C22semidirect
86. #14583292C22semidirect
87. #14583290C22semidirect
88. #14583290C22semidirect
89. #14583290C22semidirect
90. #14583282C22semidirect
91. #14583281C22semidirect
92. #14583280C22semidirect
93. #14583279C22semidirect
94. #14583278C22semidirect
95. #14583277C22semidirect
96. #14583277C22semidirect
97. #14583268C22semidirect
98. #14583267C22semidirect
99. #14583266C22semidirect
100. #14583266C22semidirect
101. #14583261C22semidirect
102. #14583260C22semidirect
103. #14583257C22semidirect
104. #14583255C22semidirect
105. #14583254C22semidirect
106. #14583253C22semidirect
107. #14583252C22semidirect
108. #14583251C22semidirect
109. #14583248C22semidirect
110. #14583248C22semidirect
111. #14583124C22semidirect
112. #14583124C22semidirect
113. #14583123C22semidirect
114. #14583122C22semidirect
115. #14583122C22semidirect
116. #14583121C22semidirect
117. #14583120C22semidirect
118. #14583120C22semidirect
119. #14583119C22semidirect
120. #14583118C22semidirect
121. #14583118C22semidirect
122. #14583116C22semidirect
123. #14583114C22semidirect
124. #14583112C22semidirect
125. #14583110C22semidirect
126. #14583110C22semidirect
127. #14583109C22semidirect
128. #14583108C22semidirect
129. #14583108C22semidirect
130. #14583108C22semidirect
131. #14583108C22semidirect
132. #14583107C22semidirect
133. #14583107C22semidirect
134. #14583106C22semidirect
135. #14583106C22semidirect
136. #14583104C22semidirect
137. #14583102C22semidirect
138. #14583102C22semidirect
144. #14583057C22semidirect
145. #14583057C22semidirect
152. #14583055C22semidirect
153. #14583055C22semidirect
154. #14583054C22semidirect
162. #14583037C22semidirect
167. #14582960C22semidirect
168. #14582957C22semidirect
169. #14582957C22semidirect
174. #14582924C22semidirect
175. #14582924C22semidirect
176. #14582906C22semidirect
177. #14582906C22semidirect
182. #103×D43C22semidirect
183. #103×D43C22semidirect
186. #14582856C22semidirect
187. #14582853C22semidirect
188. C43×#542C22semidirect
190. C43×#497C22semidirect
191. C43×#495C22semidirect
192. C43×#489C22semidirect
193. C43×#487C22semidirect
194. C43×#464C22semidirect
195. C43×#463C22semidirect
196. C43×#462C22semidirect
197. C43×#461C22semidirect
199. C43×#451C22semidirect
201. C43×#448C22semidirect
202. C43×#433C22semidirect
904. #3225D43semidirect
959. #542C2×D43semidirect
999. #497C2×D43semidirect
1003. #495C2×D43semidirect
1015. #489C2×D43semidirect
1023. #487C2×D43semidirect
1035. #464C2×D43semidirect
1039. #463C2×D43semidirect
1051. #462C2×D43semidirect
1055. #461C2×D43semidirect
1076. #451C2×D43semidirect
1086. #448C2×D43semidirect
1091. #433C2×D43semidirect
1110. C43#60814semidirect

Maximal subgroups

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

subgroupindex
#191483452
#536×D432
#191457022
#191457002
#191456982
#191456802
#191456782
#191456762
#191456742
#191456212
#191456182
#191455992
#191455962
#191455582
#191455552
#191455442
#191455422
#191450872
#191450852
#191449572
#191449552
#191441462
#191441402
#191441232
#191441202
#191438522
#191438262
#191438102
#451×D432
#191432512
C43×#32252
#6081443