Finite Group Databasebeta

← #25978210

Subgroups — #25978210

Order 11008.

1836 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1Q8×#10621900C211yesmaximal, characteristic, complemented
2#19148160C211yesmaximal, characteristic
3#19147621C211yesmaximal, characteristic, complemented
4#19147508C211yesmaximal, characteristic, complemented
5#19147373C211yesmaximal, characteristic, complemented
6#19147336C211yesmaximal, characteristic, complemented
7#19147219C211yesmaximal, characteristic, complemented
8#19147054C211yesmaximal, characteristic, complemented
9#19147050C211yesmaximal, characteristic, complemented
10#19146906C211yesmaximal, characteristic, complemented
11#19146885C211yesmaximal, characteristic, complemented
12#19146682C211yesmaximal, characteristic, complemented
13#19146678C211yesmaximal, characteristic, complemented
14#19146642C211yesmaximal, characteristic, complemented
15#19146234C211yesmaximal, characteristic, complemented
16#19146106C211yesmaximal, characteristic, complemented
17#19146098C211yesmaximal, characteristic, complemented
18#19145200C211yesmaximal, characteristic, complemented
19#19145196C211yesmaximal, characteristic, complemented
20#19145176C211yesmaximal, characteristic, complemented
21#19144680C211yesmaximal, characteristic, complemented
22#19144676C211yesmaximal, characteristic, complemented
23#19144665C211yesmaximal, characteristic, complemented
24#19144661C211yesmaximal, characteristic, complemented
25#19144629C211yesmaximal, characteristic, complemented
26#19144600C211yesmaximal, characteristic, complemented
27#19143555C211yesmaximal, characteristic, complemented
28#19143411C211yesmaximal, characteristic, complemented
29#19143410C211yesmaximal, characteristic, complemented
30C2×#14582984C211yesmaximal, characteristic, complemented
31C43×#3312C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic
33C2×#13063356C2211yescharacteristic
34C22×#10621884C2211yescharacteristic
35Q8×Dic86C2211yescharacteristic, complemented
36#14583624—21no—
37#14583624C2211yescharacteristic, complemented
38#14583621C2211yescharacteristic
39#14583612C2211yescharacteristic
40#14583607—21no—
41#14583607—21no—
42#14583607C2211yescharacteristic
43#14583607C2211yescharacteristic, complemented
44#14583606—21no—
45#14583606C2211yescharacteristic
46#14583605C2211yescharacteristic
47#14583600—21no—
48#14583584C2211yescharacteristic
49#14583581—21no—
50#14583573—21no—
51#14583572—21no—
52Q8×C22⋊D43C2211yescharacteristic
53Q8×C22⋊D43C2211yescharacteristic, complemented
54#14583551C2211yescharacteristic
55#14583545C2211yescharacteristic
56#14583540C2211yescharacteristic
57#14583454—21no—
58#14583454C2211yescharacteristic, complemented
59#14583451—21no—
60#14583451—21no—
61#14583451C2211yescharacteristic
62#14583451C2211yescharacteristic
63#14583451C2211yescharacteristic, complemented
64#14583435C2211yescharacteristic
65#14583434—21no—
66#14583434C2211yescharacteristic
67#14583432—21no—
68#14583407—21no—
69C4×#10621902C2211yescharacteristic
70#14583367C2211yescharacteristic
71C4×#10621900—21no—
72C4×#10621900C2211yescharacteristic
73C2×Q8×Dic43C2211yescharacteristic
74C2×Q8×Dic43C2211yescharacteristic, complemented
75C4×Q8×D43C2211yescharacteristic, complemented
76C2×#13063287C2211yescharacteristic
77#117×D43—21no—
78#14583309C2211yescharacteristic, complemented
79#14583306C2211yescharacteristic, complemented
80#14583303C2211yescharacteristic, complemented
81#14583292C2211yescharacteristic
82#14583291C2211yescharacteristic
83#14583277C2211yescharacteristic, complemented
84#14583266C2211yescharacteristic, complemented
85#14583260C2211yescharacteristic
86#14583259C2211yescharacteristic
87#14583248C2211yescharacteristic, complemented
88#14583248C2211yescharacteristic, complemented
89#14583240C2211yescharacteristic, complemented
90#14583239C2211yescharacteristic, complemented
91#14583239C2211yescharacteristic, complemented
92#14583235C2211yescharacteristic
93#14583232C2211yescharacteristic
94#14583231C2211yescharacteristic, complemented
95#14583229C2211yescharacteristic
96#14583227C2211yescharacteristic, complemented
97#14583214C2211yescharacteristic
98#14583213C2211yescharacteristic
99#14583208C2211yescharacteristic, complemented
100#14583208C2211yescharacteristic, complemented
101#14583203C2211yescharacteristic, complemented
102#14583192C2211yescharacteristic, complemented
103#14583192C2211yescharacteristic, complemented
104#14583188C2211yescharacteristic
105#14583188C2211yescharacteristic
106#14583184C2211yescharacteristic, complemented
107#14583183C2211yescharacteristic, complemented
108#14583180C2211yescharacteristic
109#14583178C2211yescharacteristic
110#14583156C2211yescharacteristic, complemented
111#14583156C2211yescharacteristic, complemented
112#14583155C2211yescharacteristic, complemented
113#14583148C2211yescharacteristic
114#14583148C2211yescharacteristic
115#14583147C2211yescharacteristic
116#14583145C2211yescharacteristic
117#14583140C2211yescharacteristic
118#14583138C2211yescharacteristic
119#14583138C2211yescharacteristic
120#14583123C2211yescharacteristic
121#14583123C2211yescharacteristic
122#14583122C2211yescharacteristic
123#14583121C2211yescharacteristic
124#14583108C2211yescharacteristic, complemented
125#14583107C2211yescharacteristic, complemented
126#14583107C2211yescharacteristic, complemented
127#14583103C2211yescharacteristic
128#14583103C2211yescharacteristic
129#14583103C2211yescharacteristic
130#14583101C2211yescharacteristic
131#14583063C2211yescharacteristic
132#14583060C2211yescharacteristic
133#14583060C2211yescharacteristic
134#14583059C2211yescharacteristic
135#14583056C2211yescharacteristic, complemented
136#14583055C2211yescharacteristic
137#14583052C2211yescharacteristic
138#14583049C2211yescharacteristic
139#14583039C2211yescharacteristic
140#14583038C2211yescharacteristic
141#14583028C2211yescharacteristic, complemented
142#14583027C2211yescharacteristic, complemented
143#14583004C2211yescharacteristic, complemented
144#14583003C2211yescharacteristic, complemented
145#14583003C2211yescharacteristic, complemented
146#14583002C2211yescharacteristic
147#14583002C2211yescharacteristic
148#14583001C2211yescharacteristic
149#14582997C2211yescharacteristic
150Q16×Dic43C2211yescharacteristic, complemented
151Q16×Dic43C2211yescharacteristic, complemented
152Q16×Dic43C2211yescharacteristic, complemented
153#14582993C2211yescharacteristic, complemented
154#14582991C2211yescharacteristic, complemented
155#14582991C2211yescharacteristic, complemented
156#14582991C2211yescharacteristic, complemented
157#14582991C2211yescharacteristic, complemented
158#14582986C2211yescharacteristic
159#14582986C2211yescharacteristic
160#14582984C2211yescharacteristic
161#14582984C2211yescharacteristic
162#14582984C2211yescharacteristic
163#14582984C2211yescharacteristic
164#14582984C2211yescharacteristic
165#14582984C2211yescharacteristic
166#14582984C2211yescharacteristic
167#14582984C2211yescharacteristic
168#14582984C2211yescharacteristic
169#14582984C2211yescharacteristic
170#14582975C2211yescharacteristic, complemented
171#14582974C2211yescharacteristic, complemented
172#14582971C2211yescharacteristic
173#14582970C2211yescharacteristic
174#14582967C2211yescharacteristic
175#14582951C2211yescharacteristic, complemented
176#14582949C2211yescharacteristic
177#14582949C2211yescharacteristic, complemented
178#14582942C2211yescharacteristic, complemented
179#14582938C2211yescharacteristic, complemented
180C2×#13063256C2211yescharacteristic
181#14582906C2211yescharacteristic, complemented
182#14582901C2211yescharacteristic
183#14582899C2211yescharacteristic
184C2×#13063247C2211yescharacteristic
185#14582851C2211yescharacteristic, complemented
186M16×Dic43C2211yescharacteristic, complemented
187C2×C8×Dic43C2211yescharacteristic
188C43×#552C2211yescharacteristic
189D4×Q8×C43C2211yescharacteristic
190C43×#491C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#483C2211yescharacteristic
193C43×#479C2211yescharacteristic, complemented
194C43×#470C2211yescharacteristic, complemented
195C43×#467C2211yescharacteristic
196C43×#462C2211yescharacteristic, complemented
197C43×#451C2211yescharacteristic
198C43×#451C2211yescharacteristic, complemented
199C43×#441C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic
201C43×#419C2211yescharacteristic, complemented
202C2×#103×C43C2211yescharacteristic
203C2×#10621902C2311yescharacteristic
204C2×#10621898C2311yescharacteristic
205C2×#10621900D411yescharacteristic
206C2×Q8×D43C2311yescharacteristic
207C22×D172C2311yescharacteristic
208C22×C4×D43—21no—
209#13063357—24no—
210#13063356—24no—
211C2×Dic172C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621884—24no—
219C2×#10621884C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224C2×#10621884C2311yescharacteristic
225C2×#10621877C2311yescharacteristic
226C2×#10621872C2311yescharacteristic
227C2×#10621872C2311yescharacteristic
228C22×C43⋊C8C2311yescharacteristic
229#13063325—21no—
230#13063325C2311yescharacteristic
231#13063324—21no—
232#13063324—21no—
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063324C2311yescharacteristic
236#13063323—21no—
237#13063323—21no—
238#13063323C2311yescharacteristic
239#13063323C2311yescharacteristic
240#13063323C2311yescharacteristic
241#13063320—21no—
242#13063320—21no—
243#13063320—21no—
244#13063320—21no—
245#13063319—21no—
246#13063316—21no—
247#13063316—21no—
248#13063316—21no—
249#13063316C2311yescharacteristic
250#13063315—21no—
251#13063315—21no—
252#13063315—21no—
253#13063315—21no—
254#13063315—21no—
255#13063315—21no—
256#13063315—21no—
257#13063315—21no—
258#13063314C2311yescharacteristic
259#13063313—21no—
260#13063313C2311yescharacteristic
261#13063311—21no—
262#13063310—21no—
263#13063310—21no—
264#13063310—21no—
265#13063310—21no—
266#13063309—21no—
267#13063308—21no—
268#13063307—21no—
269#13063305—21no—
270#13063305—21no—
271#13063305—21no—
272#13063305—21no—
273#13063305C2311yescharacteristic
274#13063304—21no—
275#13063304—21no—
276#13063304C2311yescharacteristic
277#13063304C2311yescharacteristic
278#13063304C2311yescharacteristic
279#13063303—21no—
280#13063303—21no—
281#13063303—21no—
282#13063302—21no—
283#13063302—21no—
284#13063302—21no—
285#13063302—21no—
286#13063302—21no—
287#13063302—21no—
288#13063302—21no—
289#13063301—21no—
290#13063301—21no—
291#13063301C2311yescharacteristic
292#13063301C2311yescharacteristic
293#13063300—21no—
294#13063300C2311yescharacteristic
295#13063299C2311yescharacteristic
296#13063298—21no—
297#13063298—21no—
298#13063298—21no—
299#13063295—21no—
300#13063293—21no—
301Q8×Dic43—21no—
302Q8×Dic43—21no—
303Q8×Dic43—21no—
304Q8×Dic43—21no—
305Q8×Dic43C2311yescharacteristic
306Q8×Dic43C2311yescharacteristic
307Q8×Dic43C2311yescharacteristic
308Q8×Dic43C2311yescharacteristic
309Q8×Dic43C2311yescharacteristic
310Q8×Dic43C2311yescharacteristic
311Q8×Dic43C2311yescharacteristic
312Q8×Dic43C2311yescharacteristic
313C4×Dic86—21no—
314C4×Dic86—21no—
315C4×Dic86C2311yescharacteristic
316C4×Dic86C2311yescharacteristic
317#13063290—21no—
318#13063290—21no—
319#13063290—21no—
320#13063290—21no—
321#13063290—21no—
322#13063290—21no—
323#13063290D411yescharacteristic
324#13063290C2311yescharacteristic
325#13063290C2311yescharacteristic
326#13063290C2311yescharacteristic
327C4×D172—21no—
328C4×D172C2311yescharacteristic
329D4×Dic43—21no—
330D4×Dic43D411yescharacteristic
331#13063287—21no—
332#13063287—21no—
333#13063287—21no—
334#13063287—21no—
335#13063287C2311yescharacteristic
336#13063287C2311yescharacteristic
337#13063287C2311yescharacteristic
338#13063287C2311yescharacteristic
339#13063287C2311yescharacteristic
340C4×C22⋊D43—21no—
341C4×C22⋊D43—21no—
342C4×C22⋊D43C2311yescharacteristic
343C4×C22⋊D43C2311yescharacteristic
344(C22⋊D43)⋊C4—21no—
345(C22⋊D43)⋊C4—21no—
346(C22⋊D43)⋊C4—21no—
347(C22⋊D43)⋊C4—21no—
348(C22⋊D43)⋊C4—21no—
349(C22⋊D43)⋊C4D411yescharacteristic
350(C22⋊D43)⋊C4D411yescharacteristic
351#13063284—21no—
352#13063283—21no—
353#13063283—21no—
354#13063283—21no—
355#13063283—21no—
356#13063283D411yescharacteristic
357#13063283C2311yescharacteristic
358#13063282—21no—
359#13063282—21no—
360#13063282—21no—
361#13063281—21no—
362#13063281—21no—
363#13063281—21no—
364#13063281D411yescharacteristic
365#13063281D411yescharacteristic
366C2×C4⋊Dic43—21no—
367C2×C4⋊Dic43—21no—
368C2×C4⋊Dic43C2311yescharacteristic
369C2×C4⋊Dic43C2311yescharacteristic
370C4⋊C4×D43—21no—
371C4⋊C4×D43—21no—
372C4⋊C4×D43—21no—
373C4⋊C4×D43C2311yescharacteristic
374C2×(C2×D43)⋊C4—21no—
375C22⋊C4×D43—21no—
376C22⋊C4×D43—21no—
377C2×C4×Dic43—21no—
378C2×C4×Dic43—21no—
379C2×C4×Dic43C2311yescharacteristic
380C2×C4×Dic43C2311yescharacteristic
381C42×D43—21no—
382C42×D43—21no—
383C42×D43—21no—
384C42×D43C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063259C2311yescharacteristic
387#13063259C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398C4⋊(C43⋊C8)C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425C22⋊(C43⋊C8)C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C22×Q8×C43C2311yescharacteristic
439C22×Q8×C43C2311yescharacteristic
440C2×Q16×C43C2311yescharacteristic
441C2×Q16×C43C2311yescharacteristic
442C2×Q16×C43C2311yescharacteristic
443C2×M16×C43C2311yescharacteristic
444C22×C8×C43C2311yescharacteristic
445C4⋊Q8×C43—21no—
446C4⋊Q8×C43C2311yescharacteristic
447#126×C43—21no—
448#125×C43—21no—
449#125×C43C2311yescharacteristic
450#123×C43—21no—
451C22⋊Q8×C43—21no—
452C22⋊Q8×C43—21no—
453C22⋊Q8×C43C2311yescharacteristic
454C22⋊Q8×C43C2311yescharacteristic
455C22⋊Q8×C43C2311yescharacteristic
456C22⋊Q8×C43C2311yescharacteristic
457C4×Q8×C43C2311yescharacteristic
458C4×Q8×C43C2311yescharacteristic
459C4×D4×C43—21no—
460C4×D4×C43C2311yescharacteristic
461#117×C43—21no—
462#117×C43C2311yescharacteristic
463C2×C4⋊C4×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C23×D43—21no—
482C2×Q8×C43—21no—
483C2×Q8×C43—21no—
484C2×Q8×C43—22no—
485C2×Q8×C43—22no—
486C2×Q8×C43—41no—
487C2×Q8×C43—41no—
488C2×Q8×C43C2411yescharacteristic
489C2×Q8×C43C2411yescharacteristic
490C2×Q8×C43C2411yescharacteristic
491C2×Q8×C43C2411yescharacteristic
492C2×D4×C43C2×D411yescharacteristic
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C22×C4×C43—21no—
496C22×C4×C43C2411yescharacteristic
497C22×C4×C43C2411yescharacteristic
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43C2×D411yescharacteristic
501C2×C22⋊D43C2×D411yescharacteristic
502C22×Dic43—21no—
503C22×Dic43—21no—
504C22×Dic43C2×D411yescharacteristic
505C22×Dic43C2×D411yescharacteristic
506C22×Dic43C2×D411yescharacteristic
507C22×Dic43C2×D411yescharacteristic
508#10621902—22no—
509#10621902—41no—
510Q8×D43—22no—
511Q8×D43—41no—
512#10621900—24no—
513#10621898—22no—
514#10621898—41no—
515C2×D172—21no—
516C2×D172—21no—
517C2×D172—21no—
518C2×D172—22no—
519C2×D172—41no—
520C2×D172C2411yescharacteristic
521C2×D172C2411yescharacteristic
522C2×C4×D43—21no—
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—44no—
533C2×C4×D43C2×D411yescharacteristic
534C2×C4×D43C2×D411yescharacteristic
535C2×C4×D43C2411yescharacteristic
536C2×Dic86—21no—
537C2×Dic86—21no—
538C2×Dic86—21no—
539C2×Dic86—21no—
540C2×Dic86—21no—
541C2×Dic86C2×D411yescharacteristic
542C2×Dic86C2411yescharacteristic
543C2×Dic86C2411yescharacteristic
544Q16×C43—22no—
545Q16×C43—41no—
546Q16×C43—41no—
547M16×C43—41no—
548C2×C8×C43—41no—
549C2×C8×C43C2411yescharacteristic
550C2×C8×C43C2411yescharacteristic
551C2×C8×C43C2411yescharacteristic
552C2×C8×C43C2411yescharacteristic
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43C2×D411yescharacteristic
565C4⋊C4×C43C2411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43C2×D411yescharacteristic
575C22⋊C4×C43C2×D411yescharacteristic
576C42×C43—21no—
577C42×C43—21no—
578C42×C43—21no—
579C42×C43C2411yescharacteristic
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43C2×D411yescharacteristic
584C22⋊Dic43C2×D411yescharacteristic
585#10621885—22no—
586#10621885—22no—
587#10621885—22no—
588#10621885—41no—
589#10621884—22no—
590#10621884—22no—
591#10621884—22no—
592#10621884—22no—
593#10621884—41no—
594#10621884#4114yescomplemented
595(C2×D43)⋊C4—21no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4C2×D411yescharacteristic
612(C2×D43)⋊C4C2×D411yescharacteristic
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43—21no—
619C4⋊Dic43—21no—
620C4⋊Dic43—21no—
621C4⋊Dic43—21no—
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43C2×D411yescharacteristic
627C4⋊Dic43C2411yescharacteristic
628C4⋊Dic43C2411yescharacteristic
629C4⋊Dic43C2411yescharacteristic
630C4⋊Dic43C2411yescharacteristic
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4C2×D411yescharacteristic
652Dic43⋊C4C2×D411yescharacteristic
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655C4×Dic43—21no—
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43C2×D411yescharacteristic
669C4×Dic43C2×D411yescharacteristic
670C4×Dic43C2×D411yescharacteristic
671C4×Dic43C2×D411yescharacteristic
672C4×Dic43C2×D411yescharacteristic
673C4×Dic43C2×D411yescharacteristic
674C4×Dic43C2411yescharacteristic
675C4×Dic43C2411yescharacteristic
676C4×Dic43C2411yescharacteristic
677#10621877—22no—
678C2×C43⋊C8—22no—
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683Dic172—41no—
684#10621873—22no—
685#10621873—41no—
686#10621872—22no—
687#10621872—41no—
688C23×C43C22×D411yescharacteristic
689C23×C43C22×D411yescharacteristic
690C22×D43—21no—
691C22×D43—21no—
692C22×D43—42no—
693C22×D43—42no—
694C22×D43—81no—
695C22×D43C22×D411yescharacteristic
696Q8×C43—21no—
697Q8×C43—21no—
698Q8×C43—21no—
699Q8×C43—21no—
700Q8×C43—21no—
701Q8×C43—21no—
702Q8×C43—21no—
703Q8×C43—42no—
704Q8×C43—42no—
705Q8×C43C2×#4112yes—
706D4×C43—22no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—42no—
720C2×C4×C43—42no—
721C2×C4×C43—42no—
722C2×C4×C43C22×D411yescharacteristic
723C2×C4×C43C22×D411yescharacteristic
724C2×C4×C43C22×D411yescharacteristic
725C2×C4×C43C22×D411yescharacteristic
726C2×C4×C43C2511yescharacteristic
727C22⋊D43—22no—
728C22⋊D43—22no—
729C22⋊D43—42no—
730C22⋊D43—81no—
731C2×Dic43—22no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—41no—
739C2×Dic43—41no—
740C2×Dic43—81no—
741C2×Dic43—81no—
742C2×Dic43#13714yescomplemented
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747C2×Dic43C22×D411yescharacteristic
748C2×Dic43C22×D411yescharacteristic
749C2×Dic43C22×D411yescharacteristic
750D172—21no—
751D172—21no—
752D172—21no—
753D172—42no—
754D172—42no—
755D172—81no—
756D172C2×#4112yes—
757C4×D43—21no—
758C4×D43—21no—
759C4×D43—22no—
760C4×D43—41no—
761C4×D43—42no—
762C4×D43—42no—
763C4×D43—42no—
764C4×D43—42no—
765C4×D43—42no—
766C4×D43—42no—
767C4×D43—42no—
768C4×D43—81no—
769C4×D43—81no—
770C4×D43—81no—
771Dic86—22no—
772Dic86—21no—
773Dic86—21no—
774Dic86—21no—
775Dic86—21no—
776Dic86—42no—
777Dic86—81no—
778Dic86—81no—
779Dic86—81no—
780Dic86—81no—
781C8×C43—21no—
782C8×C43—21no—
783C8×C43—21no—
784C8×C43—21no—
785C43⋊C8—21no—
786C43⋊C8—21no—
787C43⋊C8—21no—
788C43⋊C8C2×#4112yes—
789#61438—431nomaximal, Sylow
790C22×C43—21no—
791C22×C43—21no—
792C22×C43—21no—
793C22×C43—21no—
794C22×C43—21no—
795C22×C43C2×#13712yes—
796C22×C43C23×D411yescharacteristic
797C2×D43—21no—
798C2×D43—22no—
799C2×D43—21no—
800C2×D43—21no—
801C2×D43—41no—
802C2×D43—41no—
803C2×D43—41no—
804C2×D43—41no—
805C2×D43—41no—
806C2×D43—84no—
807C4×C43—21no—
808C4×C43—22no—
809C4×C43—21no—
810C4×C43—21no—
811C4×C43—21no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43—41no—
815C4×C43—41no—
816C4×C43—41no—
817C4×C43—41no—
818C4×C43—41no—
819C4×C43C22×#4111yescharacteristic
820C4×C43#58511yescharacteristic
821Dic43—21no—
822Dic43—21no—
823Dic43—21no—
824Dic43—21no—
825Dic43—21no—
826Dic43—41no—
827Dic43—41no—
828Dic43—41no—
829Dic43—41no—
830Dic43—41no—
831Dic43—41no—
832Dic43C2×#13712yes—
833Dic43C2×#13712yes—
834Q8×#41—431no—
835#3475—431no—
836#3398—431no—
837#3385—431no—
838#3372—431no—
839#3369—431no—
840#3357—431no—
841#3344—431no—
842#3344—431no—
843#3331—431no—
844#3329—431no—
845#3314—431no—
846#3314—431no—
847#3312—431no—
848#3312D4311yescharacteristic, complemented
849#3276—431no—
850#3266—431no—
851#3266—431no—
852#3172—431no—
853#3172—431no—
854#3170—431no—
855#3108—431no—
856#3108—431no—
857#3107—431no—
858#3107—431no—
859#3104—431no—
860#3101—431no—
861#2965—431no—
862C4×#137—431no—
863C4×#137—431no—
864C2×C4×SD16—431no—
865C2×C43—22no—
866C2×C43—41no—
867C2×C43D4×#4111yescharacteristic
868C2×C43C22×#13711yescharacteristic
869C2×C43#358411yescharacteristic
870D43—41no—
871D43—42no—
872D43—81no—
873C2×#137—431no—
874C2×#137—431no—
875C22×SD16—431no—
876Q82—431no—
877#557—431no—
878#557—861no—
879#556—431no—
880#555—431no—
881#554—431no—
882#554—431no—
883#554—431no—
884#554—431no—
885#554—861no—
886#554—861no—
887#554—861no—
888#553—861no—
889#552—431no—
890#552—861no—
891#552C2×D4311yescharacteristic
892#551—861no—
893#551—861no—
894D4×Q8—431no—
895D4×Q8—431no—
896D4×Q8C2×D4311yescharacteristic
897#547—431no—
898#546—431no—
899#546—431no—
900#533—431no—
901#533—431no—
902#533—431no—
903#533—431no—
904#533—861no—
905#533—861no—
906#533—861no—
907#529—431no—
908#529—431no—
909#529—861no—
910#529—861no—
911#525—861no—
912C4×#41—431no—
913C4×#41—431no—
914C4×#41—431no—
915C4×#41—861no—
916C2×C4×Q8—431no—
917C2×C4×Q8—431no—
918C2×C4×Q8—431no—
919C2×C4×D4—431no—
920C2×#117—861no—
921#501—431no—
922#501—431no—
923#500—431no—
924#497—431no—
925#497—431no—
926#494—431no—
927#491—431no—
928#491C2×D4311yescharacteristic, complemented
929#489—431no—
930#489—431no—
931#487—431no—
932#487—431no—
933#485—431no—
934#485—431no—
935#485—431no—
936#485C2×D4311yescharacteristic, complemented
937#484—431no—
938#484—431no—
939#483—431no—
940#483—431no—
941#483—431no—
942#483C2×D4311yescharacteristic
943#480—431no—
944#480—431no—
945#479—431no—
946#479—431no—
947#479—431no—
948#479C2×D4311yescharacteristic, complemented
949#477—431no—
950#477—431no—
951#476—431no—
952#476—431no—
953#475—431no—
954#475—431no—
955#474—431no—
956#474—431no—
957#470—431no—
958#470—431no—
959#470—431no—
960#470C2×D4311yescharacteristic, complemented
961#468—431no—
962#468—431no—
963#468—431no—
964#468—431no—
965#467—431no—
966#467—431no—
967#467—431no—
968#467C2×D4311yescharacteristic
969#464—431no—
970#464—431no—
971#464—431no—
972#464—431no—
973#462—431no—
974#462—431no—
975#462—431no—
976#462C2×D4311yescharacteristic, complemented
977#461—431no—
978#461—431no—
979#461—431no—
980#461—431no—
981#452—431no—
982#452—431no—
983#452—431no—
984#452—431no—
985#451—431no—
986#451—431no—
987#451C2×D4311yescharacteristic
988#451C2×D4311yescharacteristic, complemented
989#450—431no—
990#450—431no—
991#448—431no—
992#448—431no—
993#446—431no—
994#446—431no—
995#441—431no—
996#441—431no—
997#441—431no—
998#441C2×D4311yescharacteristic, complemented
999#440—431no—
1000#440—431no—
1001#440—431no—
1002#440—431no—
1003C4×Q16—431no—
1004C4×Q16—431no—
1005C4×Q16—431no—
1006C4×Q16—431no—
1007C4×Q16—431no—
1008C4×Q16—431no—
1009C4×Q16—431no—
1010C4×Q16—431no—
1011C4×SD16—431no—
1012C4×SD16—431no—
1013C4×SD16—431no—
1014C4×SD16—431no—
1015C4×SD16—431no—
1016C4×SD16—431no—
1017C4×SD16—431no—
1018C4×SD16—431no—
1019C4×SD16—431no—
1020C4×SD16—431no—
1021C4×SD16—431no—
1022C4×SD16—431no—
1023#436—431no—
1024#436—431no—
1025#435—431no—
1026#435—431no—
1027#435—431no—
1028#435C2×D4311yescharacteristic
1029#431—431no—
1030#431—431no—
1031#431—431no—
1032#428—431no—
1033#428—431no—
1034C2×#106—431no—
1035#419—431no—
1036#419C2×D4311yescharacteristic, complemented
1037#417—431no—
1038#417—431no—
1039C2×#103C2×D4311yescharacteristic
1040C2×#102—431no—
1041C4×M16—431no—
1042C4×M16—431no—
1043C2×C4×C8—431no—
1044C43#6143811yescharacteristic, complemented, Sylow
1045C2×#41—431no—
1046C2×#41—431no—
1047C2×#41—431no—
1048C22×Q8—431no—
1049C22×Q8C22×D4311yescharacteristic
1050C22×Q8C22×D4311yescharacteristic
1051C22×D4—431no—
1052C23×C4—861no—
1053#137—864no—
1054#137—864no—
1055C2×Q16—431no—
1056C2×Q16—431no—
1057C2×Q16—431no—
1058C2×Q16—431no—
1059C2×Q16—431no—
1060C2×Q16C22×D4311yescharacteristic
1061C2×Q16C22×D4311yescharacteristic
1062C2×Q16C22×D4311yescharacteristic
1063C2×SD16—431no—
1064C2×SD16—431no—
1065C2×SD16—431no—
1066C2×SD16—431no—
1067C2×SD16—431no—
1068C2×SD16—431no—
1069C2×SD16—431no—
1070C2×SD16—431no—
1071C2×SD16—864no—
1072C2×M16—431no—
1073C2×M16—431no—
1074C2×M16—431no—
1075C2×M16C22×D4311yescharacteristic
1076C22×C8—431no—
1077C22×C8C22×D4311yescharacteristic
1078C4⋊Q8—21no—
1079C4⋊Q8—431no—
1080C4⋊Q8—431no—
1081C4⋊Q8—431no—
1082C4⋊Q8—431no—
1083C4⋊Q8—431no—
1084C4⋊Q8—431no—
1085C4⋊Q8—431no—
1086C4⋊Q8—861no—
1087C4⋊Q8—861no—
1088C4⋊Q8—861no—
1089C4⋊Q8—861no—
1090C4⋊Q8—861no—
1091C4⋊Q8C22×D4311yescharacteristic
1092#126—21no—
1093#126—861no—
1094#126—861no—
1095#126—861no—
1096#126—861no—
1097#126—861no—
1098#125—21no—
1099#125—431no—
1100#125—861no—
1101#125—861no—
1102#125—861no—
1103#125—861no—
1104#125—861no—
1105#125—861no—
1106#125—861no—
1107#125—861no—
1108#125—861no—
1109#125—861no—
1110#125—861no—
1111#125C22×D4311yescharacteristic
1112#124—431no—
1113#124—431no—
1114#124—861no—
1115#124—861no—
1116#123—21no—
1117#123—861no—
1118#123—861no—
1119#123—861no—
1120#123—861no—
1121#123—861no—
1122#123—861no—
1123#123—861no—
1124C22⋊Q8—21no—
1125C22⋊Q8—21no—
1126C22⋊Q8—431no—
1127C22⋊Q8—431no—
1128C22⋊Q8—431no—
1129C22⋊Q8—431no—
1130C22⋊Q8—431no—
1131C22⋊Q8—431no—
1132C22⋊Q8—861no—
1133C22⋊Q8—861no—
1134C22⋊Q8—861no—
1135C22⋊Q8—861no—
1136C22⋊Q8—861no—
1137C22⋊Q8—861no—
1138C22⋊Q8—861no—
1139C22⋊Q8—861no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144C22⋊Q8—861no—
1145C22⋊Q8—861no—
1146C22⋊Q8—861no—
1147C22⋊Q8—861no—
1148C22⋊Q8—861no—
1149C22⋊Q8—861no—
1150C22⋊Q8C22×D4311yescharacteristic
1151C22⋊Q8C22×D4311yescharacteristic
1152C22⋊Q8C22×D4311yescharacteristic
1153C22⋊Q8C22×D4311yescharacteristic
1154#121—431no—
1155#121—431no—
1156#121—861no—
1157#121—861no—
1158#121—861no—
1159#121—861no—
1160#120—861no—
1161#120—861no—
1162C4×Q8—431no—
1163C4×Q8—431no—
1164C4×Q8—431no—
1165C4×Q8—431no—
1166C4×Q8—431no—
1167C4×Q8—431no—
1168C4×Q8—431no—
1169C4×Q8—431no—
1170C4×Q8—431no—
1171C4×Q8—431no—
1172C4×Q8—431no—
1173C4×Q8—431no—
1174C4×Q8—431no—
1175C4×Q8—431no—
1176C4×Q8—861no—
1177C4×Q8—861no—
1178C4×Q8—861no—
1179C4×Q8—861no—
1180C4×Q8—861no—
1181C4×Q8—861no—
1182C4×Q8—861no—
1183C4×Q8—861no—
1184C4×Q8—861no—
1185C4×Q8—861no—
1186C4×Q8—861no—
1187C4×Q8—861no—
1188C4×Q8C22×D4311yescharacteristic
1189C4×Q8C22×D4311yescharacteristic
1190C4×D4—21no—
1191C4×D4—431no—
1192C4×D4—431no—
1193C4×D4—431no—
1194C4×D4—431no—
1195C4×D4—431no—
1196C4×D4—431no—
1197C4×D4—431no—
1198C4×D4—431no—
1199C4×D4—431no—
1200C4×D4—431no—
1201C4×D4—431no—
1202C4×D4—861no—
1203C4×D4—861no—
1204C4×D4—861no—
1205C4×D4—861no—
1206C4×D4—861no—
1207C4×D4—861no—
1208C4×D4—861no—
1209C4×D4—861no—
1210C4×D4—861no—
1211C4×D4—861no—
1212C4×D4—861no—
1213C4×D4—861no—
1214C4×D4—861no—
1215C4×D4C22×D4311yescharacteristic
1216#117—21no—
1217#117—431no—
1218#117—431no—
1219#117—431no—
1220#117—431no—
1221#117—861no—
1222#117—861no—
1223#117—861no—
1224#117—861no—
1225#117—861no—
1226#117—861no—
1227#117—861no—
1228#117—861no—
1229#117—861no—
1230#117—861no—
1231#117—861no—
1232#117C22×D4311yescharacteristic
1233C2×C4⋊C4—431no—
1234C2×C4⋊C4—431no—
1235C2×C4⋊C4—431no—
1236C2×C4⋊C4—861no—
1237C2×C4⋊C4—861no—
1238C2×C4⋊C4—861no—
1239C2×C4⋊C4—861no—
1240C2×C4⋊C4—861no—
1241C2×C4⋊C4C22×D4311yescharacteristic
1242C2×C22⋊C4—861no—
1243C2×C22⋊C4—861no—
1244C2×C22⋊C4—861no—
1245C2×C42—431no—
1246C2×C42—431no—
1247C2×C42—431no—
1248C2×C42—861no—
1249C2×C42—861no—
1250C2×C42—861no—
1251C2×C42—861no—
1252C2×C42—861no—
1253#107—431no—
1254#107—431no—
1255#107—431no—
1256#107—431no—
1257#107—431no—
1258#107—431no—
1259#107—431no—
1260#107C22×D4311yescharacteristic
1261#106—431no—
1262#106—431no—
1263#106—431no—
1264#106—431no—
1265#106—431no—
1266#106—431no—
1267#106C22×D4311yescharacteristic
1268#106C22×D4311yescharacteristic
1269C4⋊C8—431no—
1270C4⋊C8—431no—
1271C4⋊C8—431no—
1272C4⋊C8—431no—
1273C4⋊C8—431no—
1274C4⋊C8C22×D4311yescharacteristic
1275#103—431no—
1276#103—431no—
1277#103—431no—
1278#103—431no—
1279#103—431no—
1280#103—431no—
1281#103—431no—
1282#103—431no—
1283#103—431no—
1284#103—431no—
1285#103—431no—
1286#103—431no—
1287#103—431no—
1288#103—431no—
1289#103C22×D4311yescharacteristic
1290#103C22×D4311yescharacteristic
1291#103C22×D4311yescharacteristic
1292#103C22×D4311yescharacteristic
1293#103C22×D4311yescharacteristic
1294#103C22×D4311yescharacteristic
1295#103C22×D4311yescharacteristic
1296#103C22×D4311yescharacteristic
1297#103C22×D4311yescharacteristic
1298#103C22×D4311yescharacteristic
1299#102—431no—
1300#102—431no—
1301#102—431no—
1302#102—431no—
1303#102—431no—
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307C22⋊C8—431no—
1308C22⋊C8—431no—
1309C22⋊C8—431no—
1310C22⋊C8—431no—
1311C22⋊C8C22×D4311yescharacteristic
1312C22⋊C8C22×D4311yescharacteristic
1313#97—431no—
1314#97—431no—
1315#97—431no—
1316#97C22×D4311yescharacteristic
1317C4×C8—431no—
1318C4×C8—431no—
1319C4×C8—431no—
1320C4×C8—431no—
1321C4×C8—431no—
1322C4×C8—431no—
1323C24—861no—
1324#41—862no—
1325#41—864no—
1326#41—862no—
1327#41—1721no—
1328#41—1721no—
1329C2×Q8—21no—
1330C2×Q8—21no—
1331C2×Q8—22no—
1332C2×Q8—22no—
1333C2×Q8—41no—
1334C2×Q8—41no—
1335C2×Q8—431no—
1336C2×Q8—431no—
1337C2×Q8—431no—
1338C2×Q8—861no—
1339C2×Q8—861no—
1340C2×Q8—861no—
1341C2×Q8—861no—
1342C2×Q8—861no—
1343C2×Q8—862no—
1344C2×Q8—1721no—
1345C2×Q8C23×D4311yescharacteristic
1346C2×Q8C23×D4311yescharacteristic
1347C2×Q8C23×D4311yescharacteristic
1348C2×Q8C23×D4311yescharacteristic
1349C2×D4—431no—
1350C2×D4—431no—
1351C2×D4—431no—
1352C2×D4—431no—
1353C2×D4—862no—
1354C2×D4—861no—
1355C2×D4—861no—
1356C2×D4—861no—
1357C2×D4—861no—
1358C2×D4—861no—
1359C2×D4—1721no—
1360C2×D4D4×D4311yescharacteristic
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—431no—
1365C22×C4—431no—
1366C22×C4—431no—
1367C22×C4—431no—
1368C22×C4—431no—
1369C22×C4—431no—
1370C22×C4—431no—
1371C22×C4—861no—
1372C22×C4—861no—
1373C22×C4—861no—
1374C22×C4—861no—
1375C22×C4—861no—
1376C22×C4—861no—
1377C22×C4—861no—
1378C22×C4—861no—
1379C22×C4—861no—
1380C22×C4—861no—
1381C22×C4—861no—
1382C22×C4—861no—
1383C22×C4—1724no—
1384C22×C4C23×D4311yescharacteristic
1385C22×C4C23×D4311yescharacteristic
1386Q16—22no—
1387Q16—41no—
1388Q16—41no—
1389Q16—862no—
1390Q16—862no—
1391Q16—862no—
1392Q16—1721no—
1393Q16—1721no—
1394SD16—434no—
1395SD16—862no—
1396SD16—862no—
1397SD16—862no—
1398SD16—862no—
1399SD16—862no—
1400SD16—1721no—
1401SD16—1721no—
1402M16—41no—
1403M16—862no—
1404M16—862no—
1405M16—1721no—
1406C2×C8—41no—
1407C2×C8—431no—
1408C2×C8—431no—
1409C2×C8—431no—
1410C2×C8—431no—
1411C2×C8—862no—
1412C2×C8C23×D4311yescharacteristic
1413C2×C8C23×D4311yescharacteristic
1414C2×C8C23×D4311yescharacteristic
1415C2×C8C23×D4311yescharacteristic
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—431no—
1428C4⋊C4—431no—
1429C4⋊C4—431no—
1430C4⋊C4—431no—
1431C4⋊C4—431no—
1432C4⋊C4—431no—
1433C4⋊C4—431no—
1434C4⋊C4—431no—
1435C4⋊C4—431no—
1436C4⋊C4—861no—
1437C4⋊C4—861no—
1438C4⋊C4—861no—
1439C4⋊C4—861no—
1440C4⋊C4—861no—
1441C4⋊C4—861no—
1442C4⋊C4—861no—
1443C4⋊C4—861no—
1444C4⋊C4—861no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4—861no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4D4×D4311yescharacteristic
1470C4⋊C4C23×D4311yescharacteristic
1471C4⋊C4C23×D4311yescharacteristic
1472C4⋊C4C23×D4311yescharacteristic
1473C4⋊C4C23×D4311yescharacteristic
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—431no—
1480C22⋊C4—431no—
1481C22⋊C4—431no—
1482C22⋊C4—431no—
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—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4D4×D4311yescharacteristic
1503C22⋊C4D4×D4311yescharacteristic
1504C42—21no—
1505C42—21no—
1506C42—21no—
1507C42—431no—
1508C42—431no—
1509C42—431no—
1510C42—431no—
1511C42—431no—
1512C42—431no—
1513C42—431no—
1514C42—431no—
1515C42—431no—
1516C42—861no—
1517C42—861no—
1518C42—861no—
1519C42—861no—
1520C42—861no—
1521C42—861no—
1522C42—861no—
1523C42—861no—
1524C42—861no—
1525C42—861no—
1526C42—861no—
1527C42—861no—
1528C42—861no—
1529C42C23×D4311yescharacteristic
1530C23—431no—
1531C23—861no—
1532C23—861no—
1533C23—3441no—
1534C23—1722no—
1535C23—1722no—
1536C23C2×D4×D4311yescharacteristic
1537C23C2×D4×D4311yescharacteristic
1538Q8—21no—
1539Q8—21no—
1540Q8—21no—
1541Q8—21no—
1542Q8—21no—
1543Q8—21no—
1544Q8—21no—
1545Q8—42no—
1546Q8—42no—
1547Q8—862no—
1548Q8—861no—
1549Q8—861no—
1550Q8—861no—
1551Q8—861no—
1552Q8—3441no—
1553Q8—3441no—
1554Q8—3441no—
1555Q8—3441no—
1556Q8—1722no—
1557Q8#41×D4312yes—
1558D4—22no—
1559D4—432no—
1560D4—862no—
1561D4—862no—
1562D4—861no—
1563D4—861no—
1564D4—861no—
1565D4—3441no—
1566D4—3441no—
1567D4—1722no—
1568D4—1722no—
1569D4—1722no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—42no—
1583C2×C4—42no—
1584C2×C4—42no—
1585C2×C4—434no—
1586C2×C4—431no—
1587C2×C4—431no—
1588C2×C4—431no—
1589C2×C4—431no—
1590C2×C4—431no—
1591C2×C4—431no—
1592C2×C4—431no—
1593C2×C4—862no—
1594C2×C4—862no—
1595C2×C4—861no—
1596C2×C4—861no—
1597C2×C4—861no—
1598C2×C4—861no—
1599C2×C4—861no—
1600C2×C4—861no—
1601C2×C4—861no—
1602C2×C4—861no—
1603C2×C4—3441no—
1604C2×C4—3441no—
1605C2×C4—3441no—
1606C2×C4—3441no—
1607C2×C4—3441no—
1608C2×C4—1721no—
1609C2×C4—1722no—
1610C2×C4—1722no—
1611C2×C4—1722no—
1612C2×C4—1722no—
1613C2×C4—1722no—
1614C2×C4—1722no—
1615C2×C4—1722no—
1616C2×C4—1721no—
1617C2×C4—1721no—
1618C2×C4C2×D4×D4311yescharacteristic
1619C2×C4C2×D4×D4311yescharacteristic
1620C2×C4C2×D4×D4311yescharacteristic
1621C2×C4C2×D4×D4311yescharacteristic
1622C2×C4C24×D4311yescharacteristic
1623C8—21no—
1624C8—21no—
1625C8—21no—
1626C8—21no—
1627C8—432no—
1628C8—861no—
1629C8—861no—
1630C8—861no—
1631C22—21no—
1632C22—21no—
1633C22—21no—
1634C22—21no—
1635C22—21no—
1636C22—861no—
1637C22—861no—
1638C22—862no—
1639C22—861no—
1640C22—3444no—
1641C22—1721no—
1642C22—1721no—
1643C22—1721no—
1644C22—1721no—
1645C22—1721no—
1646C22#137×D4312yes—
1647C22C22×D4×D4311yescharacteristic
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—22no—
1652C4—21no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—432no—
1661C4—432no—
1662C4—861no—
1663C4—861no—
1664C4—861no—
1665C4—861no—
1666C4—861no—
1667C4—1721no—
1668C4—1721no—
1669C4—1721no—
1670C4—1721no—
1671C4—1721no—
1672C4—1721no—
1673C4C2×#41×D4311yescharacteristic
1674C4#1458373411yescharacteristic
1675C2—22no—
1676C2—41no—
1677C2—3441no—
1678C2—1721no—
1679C2—1722no—
1680C2#1914807911yescharacteristic
1681C2C2×#137×D4311yescharacteristic
1682C2#1914936511yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3312C2
socleC22×C43C23×D4
prime radical#19148160C2
hypercenter#3312D43
hypocenterC43#61438
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3312

Complements

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

NH ≅ G/Ntype
1. Q8×#10621900C2semidirect
3. #19147621C2semidirect
4. #19147508C2semidirect
5. #19147373C2semidirect
6. #19147336C2semidirect
7. #19147219C2semidirect
8. #19147054C2semidirect
9. #19147050C2semidirect
10. #19146906C2semidirect
11. #19146885C2semidirect
12. #19146682C2semidirect
13. #19146678C2semidirect
14. #19146642C2semidirect
15. #19146234C2semidirect
16. #19146106C2semidirect
17. #19146098C2semidirect
18. #19145200C2semidirect
19. #19145196C2semidirect
20. #19145176C2semidirect
21. #19144680C2semidirect
22. #19144676C2semidirect
23. #19144665C2semidirect
24. #19144661C2semidirect
25. #19144629C2semidirect
26. #19144600C2semidirect
27. #19143555C2semidirect
28. #19143411C2semidirect
29. #19143410C2semidirect
30. C2×#14582984C2semidirect
31. C43×#3312C2semidirect
35. Q8×Dic86C22semidirect
37. #14583624C22semidirect
43. #14583607C22semidirect
53. Q8×C22⋊D43C22semidirect
58. #14583454C22semidirect
63. #14583451C22semidirect
74. C2×Q8×Dic43C22semidirect
75. C4×Q8×D43C22semidirect
78. #14583309C22semidirect
79. #14583306C22semidirect
80. #14583303C22semidirect
83. #14583277C22semidirect
84. #14583266C22semidirect
87. #14583248C22semidirect
88. #14583248C22semidirect
89. #14583240C22semidirect
90. #14583239C22semidirect
91. #14583239C22semidirect
94. #14583231C22semidirect
96. #14583227C22semidirect
99. #14583208C22semidirect
100. #14583208C22semidirect
101. #14583203C22semidirect
102. #14583192C22semidirect
103. #14583192C22semidirect
106. #14583184C22semidirect
107. #14583183C22semidirect
110. #14583156C22semidirect
111. #14583156C22semidirect
112. #14583155C22semidirect
124. #14583108C22semidirect
125. #14583107C22semidirect
126. #14583107C22semidirect
135. #14583056C22semidirect
141. #14583028C22semidirect
142. #14583027C22semidirect
143. #14583004C22semidirect
144. #14583003C22semidirect
145. #14583003C22semidirect
150. Q16×Dic43C22semidirect
151. Q16×Dic43C22semidirect
152. Q16×Dic43C22semidirect
153. #14582993C22semidirect
154. #14582991C22semidirect
155. #14582991C22semidirect
156. #14582991C22semidirect
157. #14582991C22semidirect
170. #14582975C22semidirect
171. #14582974C22semidirect
175. #14582951C22semidirect
177. #14582949C22semidirect
178. #14582942C22semidirect
179. #14582938C22semidirect
181. #14582906C22semidirect
185. #14582851C22semidirect
186. M16×Dic43C22semidirect
190. C43×#491C22semidirect
191. C43×#485C22semidirect
193. C43×#479C22semidirect
194. C43×#470C22semidirect
196. C43×#462C22semidirect
198. C43×#451C22semidirect
199. C43×#441C22semidirect
201. C43×#419C22semidirect
594. #10621884#41semidirect
742. C2×Dic43#137semidirect
848. #3312D43semidirect
928. #491C2×D43semidirect
936. #485C2×D43semidirect
948. #479C2×D43semidirect
960. #470C2×D43semidirect
976. #462C2×D43semidirect
988. #451C2×D43semidirect
998. #441C2×D43semidirect
1036. #419C2×D43semidirect
1044. C43#61438semidirect

Maximal subgroups

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

subgroupindex
Q8×#106219002
#191481602
#191476212
#191475082
#191473732
#191473362
#191472192
#191470542
#191470502
#191469062
#191468852
#191466822
#191466782
#191466422
#191462342
#191461062
#191460982
#191452002
#191451962
#191451762
#191446802
#191446762
#191446652
#191446612
#191446292
#191446002
#191435552
#191434112
#191434102
C2×#145829842
C43×#33122
#6143843