Finite Group Databasebeta

← #25975611

Subgroups — #25975611

Order 11008.

1810 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148313C211yesmaximal, characteristic, complemented
2#19148299C211yesmaximal, characteristic, complemented
3#19147222C211yesmaximal, characteristic, complemented
4#19147217C211yesmaximal, characteristic, complemented
5#19147181C211yesmaximal, characteristic, complemented
6#19147174C211yesmaximal, characteristic, complemented
7#19147156C211yesmaximal, characteristic, complemented
8#19147154C211yesmaximal, characteristic, complemented
9#19147150C211yesmaximal, characteristic, complemented
10#19147132C211yesmaximal, characteristic, complemented
11#19147129C211yesmaximal, characteristic, complemented
12#19147089C211yesmaximal, characteristic, complemented
13#19147088C211yesmaximal, characteristic, complemented
14#19147063C211yesmaximal, characteristic, complemented
15#19147062C211yesmaximal, characteristic, complemented
16#19147053C211yesmaximal, characteristic, complemented
17#19147050C211yesmaximal, characteristic, complemented
18#19145132C211yesmaximal, characteristic, complemented
19#19144585C211yesmaximal, characteristic, complemented
20#19144576C211yesmaximal, characteristic, complemented
21#19144523C211yesmaximal, characteristic, complemented
22#19144519C211yesmaximal, characteristic, complemented
23#19144460C211yesmaximal, characteristic, complemented
24#19144447C211yesmaximal, characteristic, complemented
25#19144263C211yesmaximal, characteristic, complemented
26#19144199C211yesmaximal, characteristic, complemented
27#19143473C211yesmaximal, characteristic, complemented
28#19143295C211yesmaximal, characteristic, complemented
29#19143189C211yesmaximal, characteristic, complemented
30#428×D43C211yesmaximal, characteristic, complemented
31C43×#3351C211yesmaximal, characteristic, complemented
32C2×#13063346C2211yescharacteristic
33C2×#13063333C2211yescharacteristic
34C2×M16×D43C2211yescharacteristic
35#14583622C2211yescharacteristic
36#14583620C2211yescharacteristic
37#14583616—21no—
38#14583614C2211yescharacteristic
39#14583612—21no—
40#14583612C2211yescharacteristic
41#14583608—21no—
42#14583606C2211yescharacteristic
43#14583604C2211yescharacteristic
44#14583602C2211yescharacteristic
45#14583601C2211yescharacteristic
46#14583597C2211yescharacteristic
47#14583594—21no—
48#14583592—21no—
49#14583588C2211yescharacteristic
50#14583587C2211yescharacteristic
51#14583585—21no—
52#14583583C2211yescharacteristic
53#14583581—21no—
54#14583554C2211yescharacteristic
55#14583549C2211yescharacteristic
56#14583547—21no—
57#14583529C2211yescharacteristic
58#14583529C2211yescharacteristic
59#14583492—21no—
60#14583490—21no—
61#14583488—21no—
62#14583485—21no—
63#14583479C2211yescharacteristic
64#14583478C2211yescharacteristic
65#14583434—21no—
66#14583427—21no—
67#14583412C2211yescharacteristic
68#14583409—21no—
69#14583409C2211yescharacteristic
70#14583408—21no—
71#14583408C2211yescharacteristic
72#14583381C2211yescharacteristic
73#14583380C2211yescharacteristic
74#14583379C2211yescharacteristic
75#14583378C2211yescharacteristic
76#117×D43C2211yescharacteristic
77C2×C4⋊C4×D43C2211yescharacteristic
78#14583309C2211yescharacteristic, complemented
79#14583309C2211yescharacteristic, complemented
80#14583306C2211yescharacteristic, complemented
81#14583306C2211yescharacteristic, complemented
82#14583304C2211yescharacteristic, complemented
83#14583303C2211yescharacteristic, complemented
84#14583300C2211yescharacteristic, complemented
85#14583243C2211yescharacteristic
86#14583243C2211yescharacteristic, complemented
87#14583242C2211yescharacteristic
88#14583241C2211yescharacteristic
89#14583241C2211yescharacteristic, complemented
90#14583240C2211yescharacteristic
91#14583239C2211yescharacteristic, complemented
92#14583233C2211yescharacteristic
93#14583233C2211yescharacteristic
94#14583233C2211yescharacteristic, complemented
95#14583232C2211yescharacteristic, complemented
96#14583231C2211yescharacteristic, complemented
97#14583229C2211yescharacteristic, complemented
98#14583227C2211yescharacteristic
99#14583225C2211yescharacteristic, complemented
100#14583223C2211yescharacteristic, complemented
101#14583222C2211yescharacteristic
102#14583221C2211yescharacteristic
103#14583221C2211yescharacteristic, complemented
104#14583220C2211yescharacteristic
105#14583220C2211yescharacteristic, complemented
106#14583219C2211yescharacteristic
107#14583219C2211yescharacteristic
108#14583216C2211yescharacteristic, complemented
109#14583214C2211yescharacteristic, complemented
110#14583213C2211yescharacteristic
111#14583213C2211yescharacteristic, complemented
112#14583212C2211yescharacteristic
113#14583209C2211yescharacteristic, complemented
114#14583204C2211yescharacteristic, complemented
115#14583203C2211yescharacteristic, complemented
116#14583202C2211yescharacteristic, complemented
117#14583197C2211yescharacteristic, complemented
118#14583196C2211yescharacteristic, complemented
119#14583195C2211yescharacteristic, complemented
120#14583193C2211yescharacteristic, complemented
121#14583190C2211yescharacteristic, complemented
122#14583188C2211yescharacteristic, complemented
123#14583184C2211yescharacteristic, complemented
124#14583182C2211yescharacteristic, complemented
125#14583179C2211yescharacteristic, complemented
126#14583177C2211yescharacteristic, complemented
127#14583156C2211yescharacteristic
128#14583155C2211yescharacteristic
129#14583151C2211yescharacteristic
130#14583150C2211yescharacteristic
131#14583146C2211yescharacteristic
132#14583146C2211yescharacteristic, complemented
133#14583145C2211yescharacteristic
134#14583145C2211yescharacteristic, complemented
135#14583142C2211yescharacteristic
136#14583142C2211yescharacteristic, complemented
137#14583139C2211yescharacteristic, complemented
138#14583138C2211yescharacteristic, complemented
139#14583134C2211yescharacteristic, complemented
140#14583133C2211yescharacteristic, complemented
141#14583009C2211yescharacteristic, complemented
142#14583008C2211yescharacteristic, complemented
143#14583004C2211yescharacteristic, complemented
144#14583003C2211yescharacteristic, complemented
145C4×#10621873C2211yescharacteristic, complemented
146SD16×Dic43C2211yescharacteristic, complemented
147#14582986C2211yescharacteristic, complemented
148#14582978C2211yescharacteristic
149#14582975C2211yescharacteristic
150#14582975C2211yescharacteristic
151#14582973C2211yescharacteristic
152#14582971C2211yescharacteristic
153#14582969C2211yescharacteristic
154#14582967C2211yescharacteristic
155#14582942C2211yescharacteristic
156#14582941C2211yescharacteristic
157#14582941C2211yescharacteristic, complemented
158#14582940C2211yescharacteristic
159#14582940C2211yescharacteristic
160#14582940C2211yescharacteristic
161#14582940C2211yescharacteristic, complemented
162#14582939C2211yescharacteristic
163#14582938C2211yescharacteristic
164#14582938C2211yescharacteristic
165#14582938C2211yescharacteristic
166#14582938C2211yescharacteristic
167#14582938C2211yescharacteristic
168#14582938C2211yescharacteristic, complemented
169#14582936C2211yescharacteristic
170#14582936C2211yescharacteristic, complemented
171#14582935C2211yescharacteristic, complemented
172#107×D43C2211yescharacteristic
173#107×D43C2211yescharacteristic
174C2×#13063256C2211yescharacteristic, complemented
175#106×D43C2211yescharacteristic
176#106×D43C2211yescharacteristic
177#106×D43C2211yescharacteristic, complemented
178#14582924C2211yescharacteristic
179#14582899C2211yescharacteristic
180#14582899C2211yescharacteristic
181#14582897C2211yescharacteristic
182#14582897C2211yescharacteristic
183#14582894C2211yescharacteristic
184#14582892C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582861C2211yescharacteristic
187#14582853C2211yescharacteristic
188C43×#553C2211yescharacteristic
189C43×#552C2211yescharacteristic
190C43×#499C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#483C2211yescharacteristic
193C43×#482C2211yescharacteristic
194C43×#481C2211yescharacteristic, complemented
195C43×#479C2211yescharacteristic, complemented
196C43×#478C2211yescharacteristic, complemented
197C43×#468C2211yescharacteristic
198C43×#468C2211yescharacteristic, complemented
199C4×SD16×C43C2211yescharacteristic, complemented
200C43×#436C2211yescharacteristic
201C43×#428C2211yescharacteristic
202C43×#428C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×#10621898C2311yescharacteristic
206C2×#10621900—21no—
207C2×#10621900C2311yescharacteristic
208C22×C4×D43—21no—
209C22×C4×D43C2311yescharacteristic
210#13063346—24no—
211C2×#10621885C2311yescharacteristic
212C2×#10621873C2311yescharacteristic
213C2×#10621882C2311yescharacteristic
214#13063333—24no—
215C2×#10621877C2311yescharacteristic
216C2×#10621872C2311yescharacteristic
217C2×#10621872C2311yescharacteristic
218C2×#10621872C2311yescharacteristic
219C2×#10621872C2311yescharacteristic
220C2×#10621872C2311yescharacteristic
221M16×D43—24no—
222C22×C43⋊C8C2311yescharacteristic
223C2×C8×D43C2311yescharacteristic
224C2×C8×D43C2311yescharacteristic
225C2×C8×D43C2311yescharacteristic
226#13063325C2311yescharacteristic
227#13063325C2311yescharacteristic
228#13063324—21no—
229#13063324—21no—
230#13063324C2311yescharacteristic
231#13063324C2311yescharacteristic
232#13063320—21no—
233#13063320—21no—
234#13063320—21no—
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063318—21no—
239#13063318—21no—
240#13063318—21no—
241#13063318—21no—
242#13063317—21no—
243#13063316—21no—
244#13063316—21no—
245#13063316C2311yescharacteristic
246#13063316C2311yescharacteristic
247#13063315—21no—
248#13063315—21no—
249#13063315—21no—
250#13063315—21no—
251#13063313—21no—
252#13063313—21no—
253#13063311—21no—
254#13063311—21no—
255#13063311—21no—
256#13063311—21no—
257#13063310—21no—
258#13063310—21no—
259#13063310—21no—
260#13063310—21no—
261#13063310D411yescharacteristic
262#13063309—21no—
263#13063307—21no—
264#13063307—21no—
265#13063307—21no—
266#13063307—21no—
267#13063307—21no—
268#13063307—21no—
269#13063307D411yescharacteristic
270#13063306—21no—
271#13063305—21no—
272#13063305—21no—
273#13063305C2311yescharacteristic
274#13063305C2311yescharacteristic
275#13063304—21no—
276#13063304—21no—
277#13063304C2311yescharacteristic
278#13063304C2311yescharacteristic
279#13063303—21no—
280#13063303—21no—
281#13063303—21no—
282#13063303—21no—
283#13063303D411yescharacteristic
284#13063302—21no—
285#13063302—21no—
286#13063302—21no—
287#13063302—21no—
288#13063302D411yescharacteristic
289#13063301C2311yescharacteristic
290#13063301C2311yescharacteristic
291#13063300—21no—
292#13063300—21no—
293#13063300C2311yescharacteristic
294#13063300C2311yescharacteristic
295#13063299—21no—
296#13063299C2311yescharacteristic
297#13063299C2311yescharacteristic
298#13063298—21no—
299#13063298—21no—
300#13063298—21no—
301#13063298—21no—
302#13063298D411yescharacteristic
303#13063297—21no—
304#13063297—21no—
305#13063297D411yescharacteristic
306#13063296—21no—
307#13063296—21no—
308#13063296C2311yescharacteristic
309#13063296C2311yescharacteristic
310#13063295—21no—
311#13063295D411yescharacteristic
312#13063293—21no—
313#13063293D411yescharacteristic
314Q8×Dic43C2311yescharacteristic
315C4×Dic86—21no—
316C4×Dic86—21no—
317C4×Dic86C2311yescharacteristic
318#13063290—21no—
319#13063290—21no—
320#13063290C2311yescharacteristic
321C4×D172—21no—
322C4×D172—21no—
323C4×D172C2311yescharacteristic
324C4×D172C2311yescharacteristic
325D4×Dic43—21no—
326D4×Dic43—21no—
327D4×Dic43—21no—
328D4×Dic43C2311yescharacteristic
329#13063287—21no—
330#13063287—21no—
331#13063287—21no—
332#13063287—21no—
333#13063287C2311yescharacteristic
334C4×C22⋊D43—21no—
335C4×C22⋊D43—21no—
336C4×C22⋊D43—21no—
337C4×C22⋊D43—21no—
338C4×C22⋊D43—21no—
339C4×C22⋊D43C2311yescharacteristic
340C4×C22⋊D43C2311yescharacteristic
341(C22⋊D43)⋊C4—21no—
342(C22⋊D43)⋊C4—21no—
343(C22⋊D43)⋊C4—21no—
344(C22⋊D43)⋊C4—21no—
345(C22⋊D43)⋊C4—21no—
346#13063284C2311yescharacteristic
347#13063284C2311yescharacteristic
348#13063283—21no—
349#13063283—21no—
350#13063283—21no—
351#13063283C2311yescharacteristic
352#13063283C2311yescharacteristic
353#13063283C2311yescharacteristic
354#13063283C2311yescharacteristic
355#13063283C2311yescharacteristic
356#13063283C2311yescharacteristic
357#13063282—21no—
358#13063282—21no—
359#13063282—21no—
360#13063282—21no—
361#13063282C2311yescharacteristic
362#13063281—21no—
363#13063281—21no—
364C2×C4⋊Dic43C2311yescharacteristic
365C2×C4⋊Dic43C2311yescharacteristic
366C2×Dic43⋊C4—21no—
367C2×Dic43⋊C4—21no—
368C4⋊C4×D43—21no—
369C4⋊C4×D43—21no—
370C4⋊C4×D43—21no—
371C4⋊C4×D43C2311yescharacteristic
372C4⋊C4×D43C2311yescharacteristic
373C4⋊C4×D43C2311yescharacteristic
374C4⋊C4×D43C2311yescharacteristic
375C4⋊C4×D43C2311yescharacteristic
376C4⋊C4×D43C2311yescharacteristic
377C4⋊C4×D43C2311yescharacteristic
378C4⋊C4×D43C2311yescharacteristic
379C22⋊C4×D43—21no—
380C42×D43—21no—
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063259C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063258C2311yescharacteristic
394#13063258C2311yescharacteristic
395#13063257C2311yescharacteristic
396#13063257C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063256C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402#13063256C2311yescharacteristic
403#13063256C2311yescharacteristic
404#13063256C2311yescharacteristic
405#13063256C2311yescharacteristic
406#13063256C2311yescharacteristic
407#13063256C2311yescharacteristic
408C4⋊(C43⋊C8)C2311yescharacteristic
409Dic43⋊C8C2311yescharacteristic
410Dic43⋊C8C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063245C2311yescharacteristic
427#13063245C2311yescharacteristic
428#13063245C2311yescharacteristic
429C22⋊(C43⋊C8)C2311yescharacteristic
430C22⋊(C43⋊C8)C2311yescharacteristic
431(C2×D43)⋊C8C2311yescharacteristic
432(C2×D43)⋊C8C2311yescharacteristic
433(C2×D43)⋊C8C2311yescharacteristic
434(C2×D43)⋊C8C2311yescharacteristic
435#13063236C2311yescharacteristic
436#13063235C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C2×M16×C43C2311yescharacteristic
441#126×C43—21no—
442#126×C43—21no—
443#125×C43—21no—
444#125×C43C2311yescharacteristic
445#125×C43C2311yescharacteristic
446#123×C43—21no—
447#123×C43—21no—
448C22⋊Q8×C43C2311yescharacteristic
449C22⋊Q8×C43C2311yescharacteristic
450#121×C43—21no—
451#121×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×D4×C43—21no—
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460C2×C4⋊C4×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43C2×D411yescharacteristic
482C2×Q8×C43C2411yescharacteristic
483C2×D4×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43C2×D411yescharacteristic
486C2×D4×C43C2411yescharacteristic
487C22×C4×C43—21no—
488C22×C4×C43—21no—
489C22×C4×C43—21no—
490C22×C4×C43C2411yescharacteristic
491C22×C4×C43C2411yescharacteristic
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43C2×D411yescharacteristic
498C2×C22⋊D43C2×D411yescharacteristic
499C2×C22⋊D43C2×D411yescharacteristic
500C2×C22⋊D43C2×D411yescharacteristic
501C22×Dic43—21no—
502C22×Dic43—21no—
503C22×Dic43—21no—
504C22×Dic43—21no—
505C22×Dic43C2×D411yescharacteristic
506#10621902—22no—
507#10621902—22no—
508#10621900—22no—
509#10621900—22no—
510#10621900—82no—
511#10621898—22no—
512#10621898—22no—
513#10621898—82no—
514C2×D172—21no—
515C2×D172—21no—
516C2×D172—21no—
517C2×D172C2×D411yescharacteristic
518C2×D172C2×D411yescharacteristic
519C2×D172C2411yescharacteristic
520C2×C4×D43—22no—
521C2×C4×D43—22no—
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—21no—
533C2×C4×D43—82no—
534C2×C4×D43C2×D411yescharacteristic
535C2×C4×D43C2×D411yescharacteristic
536C2×C4×D43C2411yescharacteristic
537C2×C4×D43C2411yescharacteristic
538C2×C4×D43C2411yescharacteristic
539C2×Dic86—21no—
540C2×Dic86—21no—
541C2×Dic86—21no—
542C2×Dic86—21no—
543C2×Dic86C2×D411yescharacteristic
544C2×Dic86C2411yescharacteristic
545SD16×C43—22no—
546M16×C43—22no—
547M16×C43—22no—
548C2×C8×C43C2411yescharacteristic
549C2×C8×C43C2411yescharacteristic
550C2×C8×C43C2411yescharacteristic
551C2×C8×C43C2411yescharacteristic
552C4⋊C4×C43—21no—
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×C43C2×D411yescharacteristic
562C4⋊C4×C43C2411yescharacteristic
563C4⋊C4×C43C2411yescharacteristic
564C4⋊C4×C43C2411yescharacteristic
565C4⋊C4×C43C2411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43C2×D411yescharacteristic
576C22⋊C4×C43C2×D411yescharacteristic
577C42×C43—21no—
578C42×C43—21no—
579C42×C43—21no—
580C42×C43C2411yescharacteristic
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43C2×D411yescharacteristic
589C22⋊Dic43C2×D411yescharacteristic
590#10621885—22no—
591#10621882—22no—
592(C2×D43)⋊C4—21no—
593(C2×D43)⋊C4—21no—
594(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
609(C2×D43)⋊C4C2×D411yescharacteristic
610(C2×D43)⋊C4C2×D411yescharacteristic
611(C2×D43)⋊C4C2×D411yescharacteristic
612(C2×D43)⋊C4C2×D411yescharacteristic
613(C2×D43)⋊C4C2×D411yescharacteristic
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⋊Dic43C2×D411yescharacteristic
624C4⋊Dic43C2411yescharacteristic
625C4⋊Dic43C2411yescharacteristic
626C4⋊Dic43C2411yescharacteristic
627C4⋊Dic43C2411yescharacteristic
628C4⋊Dic43C2411yescharacteristic
629C4⋊Dic43C2411yescharacteristic
630Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
649Dic43⋊C4C2×D411yescharacteristic
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43—21no—
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×Dic43C2411yescharacteristic
664#10621877—22no—
665C2×C43⋊C8—22no—
666C2×C43⋊C8C2411yescharacteristic
667C2×C43⋊C8C2411yescharacteristic
668C2×C43⋊C8C2411yescharacteristic
669C2×C43⋊C8C2411yescharacteristic
670#10621873—22no—
671#10621872—22no—
672#10621872—22no—
673#10621872—22no—
674#10621872—22no—
675#10621872—22no—
676C8×D43—22no—
677C8×D43—22no—
678C8×D43#4114yescomplemented
679C23×C43—21no—
680C23×C43C22×D411yescharacteristic
681C23×C43C22×D411yescharacteristic
682C22×D43—22no—
683C22×D43—21no—
684C22×D43—41no—
685C22×D43—41no—
686C22×D43C22×D411yescharacteristic
687C22×D43C22×D411yescharacteristic
688C22×D43C22×D411yescharacteristic
689Q8×C43—21no—
690Q8×C43—21no—
691D4×C43—21no—
692D4×C43—21no—
693D4×C43—41no—
694D4×C43—42no—
695D4×C43—81no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—81no—
708C2×C4×C43—81no—
709C2×C4×C43—81no—
710C2×C4×C43C22×D411yescharacteristic
711C2×C4×C43C22×D411yescharacteristic
712C2×C4×C43C22×D411yescharacteristic
713C2×C4×C43C22×D411yescharacteristic
714C2×C4×C43C2511yescharacteristic
715C22⋊D43—22no—
716C22⋊D43—22no—
717C22⋊D43—41no—
718C22⋊D43—41no—
719C22⋊D43—42no—
720C22⋊D43—42no—
721C22⋊D43—81no—
722C22⋊D43—81no—
723C22⋊D43—81no—
724C2×Dic43—22no—
725C2×Dic43—21no—
726C2×Dic43—21no—
727C2×Dic43—21no—
728C2×Dic43—21no—
729C2×Dic43—21no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—42no—
733C2×Dic43—81no—
734C2×Dic43—81no—
735C2×Dic43—81no—
736C2×Dic43C22×D411yescharacteristic
737C2×Dic43C22×D411yescharacteristic
738C2×Dic43C22×D411yescharacteristic
739C2×Dic43C22×D411yescharacteristic
740C2×Dic43C22×D411yescharacteristic
741D172—22no—
742D172—21no—
743D172—21no—
744D172—41no—
745D172—42no—
746D172—81no—
747D172—81no—
748C4×D43—22no—
749C4×D43—21no—
750C4×D43—21no—
751C4×D43—21no—
752C4×D43—21no—
753C4×D43—22no—
754C4×D43—42no—
755C4×D43—42no—
756C4×D43—42no—
757C4×D43—81no—
758C4×D43—81no—
759C4×D43—81no—
760C4×D43—81no—
761C4×D43—81no—
762C4×D43—81no—
763C4×D43—81no—
764C4×D43—81no—
765C4×D43C2×#4112yes—
766C4×D432−1+412yes—
767Dic86—22no—
768Dic86—21no—
769Dic86—21no—
770Dic86—81no—
771Dic86—81no—
772Dic86—81no—
773Dic86—81no—
774C8×C43—21no—
775C8×C43—21no—
776C8×C43—21no—
777C8×C43C2×#4112yes—
778C43⋊C8—21no—
779C43⋊C8—21no—
780C43⋊C8—21no—
781C43⋊C8C2×#4112yes—
782#61265—431nomaximal, Sylow
783C22×C43—21no—
784C22×C43—21no—
785C22×C43—21no—
786C22×C43—21no—
787C22×C43—21no—
788C22×C43—21no—
789C22×C43—41no—
790C22×C43—41no—
791C22×C43—41no—
792C22×C43C23×D411yescharacteristic
793C2×D43—21no—
794C2×D43—21no—
795C2×D43—21no—
796C2×D43—21no—
797C2×D43—21no—
798C2×D43—21no—
799C2×D43—21no—
800C2×D43—21no—
801C2×D43—44no—
802C2×D43—41no—
803C2×D43—41no—
804C2×D43—41no—
805C2×D43#54712yes—
806C4×C43—21no—
807C4×C43—21no—
808C4×C43—21no—
809C4×C43—21no—
810C4×C43—41no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43—41no—
815C4×C43—41no—
816C4×C43—41no—
817C4×C43C22×#4111yescharacteristic
818C4×C43C2×2−1+411yescharacteristic
819Dic43—21no—
820Dic43—21no—
821Dic43—21no—
822Dic43—21no—
823Dic43—41no—
824Dic43—41no—
825Dic43—41no—
826Dic43—41no—
827Dic43—41no—
828Dic43—41no—
829Dic43—41no—
830Dic43#54712yes—
831#3493—431no—
832#3492—431no—
833#3357—431no—
834#3357—431no—
835#3353—431no—
836#3353—431no—
837#3351—431no—
838#3351—431no—
839#3351—431no—
840#3351D4311yescharacteristic, complemented
841#3349—431no—
842#3349—431no—
843#3347—431no—
844#3347—431no—
845#3345—431no—
846#3345—431no—
847#3344—431no—
848#3344—431no—
849#3164—431no—
850#3099—431no—
851#3098—431no—
852#3093—431no—
853#3092—431no—
854#3084—431no—
855#3083—431no—
856#3061—431no—
857#3054—431no—
858#2952—431no—
859#2930—431no—
860#2912—431no—
861C2×#428—431no—
862C2×C43—41no—
863C2×C43—41no—
864C2×C43—81no—
865C2×C43C2×#54711yescharacteristic
866C2×C43#358511yescharacteristic
867C2×C43#358611yescharacteristic
868D43—22no—
869D43—41no—
870D43—41no—
871D43—81no—
872C2×#135—431no—
873C2×#131—431no—
874C22×M16—431no—
875#556—431no—
876#556—431no—
877#556—861no—
878#555—431no—
879#555—431no—
880#555—861no—
881#554—431no—
882#554—431no—
883#554—861no—
884#553—431no—
885#553—431no—
886#553—431no—
887#553—861no—
888#553—861no—
889#553C2×D4311yescharacteristic
890#552—431no—
891#552—431no—
892#552—431no—
893#552—861no—
894#552—861no—
895#552C2×D4311yescharacteristic
896#547—431no—
897#547—431no—
898#547—861no—
899#544—431no—
900#544—431no—
901#539—861no—
902#539—861no—
903#538—861no—
904#538—861no—
905#537—431no—
906#537—431no—
907#529—861no—
908#529—861no—
909#525—431no—
910#525—431no—
911#525—431no—
912#525—861no—
913#525—861no—
914#520—431no—
915#520—431no—
916#520—431no—
917#520—431no—
918C2×#117—431no—
919C22×C4⋊C4—431no—
920#501—431no—
921#501—431no—
922#501—431no—
923#501—431no—
924#500—431no—
925#500—431no—
926#499—431no—
927#499C2×D4311yescharacteristic, complemented
928#485—431no—
929#485—431no—
930#485—431no—
931#485—431no—
932#485—431no—
933#485—431no—
934#485—431no—
935#485C2×D4311yescharacteristic, complemented
936#484—431no—
937#484—431no—
938#484—431no—
939#484—431no—
940#483—431no—
941#483—431no—
942#483—431no—
943#483C2×D4311yescharacteristic
944#482—431no—
945#482—431no—
946#482—431no—
947#482—431no—
948#482—431no—
949#482—431no—
950#482—431no—
951#482C2×D4311yescharacteristic
952#481—431no—
953#481—431no—
954#481—431no—
955#481C2×D4311yescharacteristic, complemented
956#480—431no—
957#480—431no—
958#480—431no—
959#480—431no—
960#479—431no—
961#479—431no—
962#479—431no—
963#479C2×D4311yescharacteristic, complemented
964#478—431no—
965#478—431no—
966#478—431no—
967#478C2×D4311yescharacteristic, complemented
968#477—431no—
969#477—431no—
970#476—431no—
971#476—431no—
972#475—431no—
973#475—431no—
974#474—431no—
975#474—431no—
976#470—431no—
977#470—431no—
978#469—431no—
979#469—431no—
980#468—431no—
981#468—431no—
982#468—431no—
983#468—431no—
984#468—431no—
985#468—431no—
986#468C2×D4311yescharacteristic
987#468C2×D4311yescharacteristic, complemented
988#467—431no—
989#467—431no—
990#466—431no—
991#466—431no—
992#442—431no—
993#442—431no—
994#441—431no—
995#441—431no—
996C4×SD16—431no—
997C4×SD16—431no—
998C4×SD16—431no—
999C4×SD16C2×D4311yescharacteristic, complemented
1000#436—431no—
1001#436—431no—
1002#436—431no—
1003#436C2×D4311yescharacteristic
1004#435—431no—
1005#435—431no—
1006#435—431no—
1007#435—431no—
1008#428—431no—
1009#428—431no—
1010#428—431no—
1011#428—431no—
1012#428—431no—
1013#428—431no—
1014#428—431no—
1015#428—431no—
1016#428—431no—
1017#428—431no—
1018#428—431no—
1019#428—431no—
1020#428—431no—
1021#428—431no—
1022#428C2×D4311yescharacteristic
1023#428C2×D4311yescharacteristic, complemented
1024#427—431no—
1025#427—431no—
1026#427—431no—
1027C2×#107—431no—
1028C2×#107—431no—
1029C2×#106—431no—
1030C2×#106—431no—
1031C2×#106—431no—
1032C2×#106—431no—
1033#424—431no—
1034#417—431no—
1035#417—431no—
1036#417—431no—
1037#417—431no—
1038#416—431no—
1039#416—431no—
1040#408—431no—
1041#407—431no—
1042#405—431no—
1043C43#6126511yescharacteristic, complemented, Sylow
1044C2×#41—431no—
1045C2×#41—431no—
1046C2×#41—431no—
1047C2×#41—861no—
1048C2×#41—861no—
1049C23×C4—431no—
1050C23×C4—861no—
1051#135—864no—
1052C2×Q16—431no—
1053C2×SD16—431no—
1054C2×SD16C22×D4311yescharacteristic
1055C2×D8—431no—
1056#131—864no—
1057C2×M16—431no—
1058C2×M16—431no—
1059C2×M16—431no—
1060C2×M16—431no—
1061C2×M16—431no—
1062C2×M16—431no—
1063C2×M16—864no—
1064C2×M16C22×D4311yescharacteristic
1065C2×M16C22×D4311yescharacteristic
1066C22×C8—431no—
1067C22×C8—431no—
1068C22×C8—431no—
1069C22×C8—431no—
1070C4⋊Q8—431no—
1071C4⋊Q8—431no—
1072C4⋊Q8—431no—
1073C4⋊Q8—431no—
1074C4⋊Q8—861no—
1075C4⋊Q8—861no—
1076#126—21no—
1077#126—21no—
1078#126—861no—
1079#126—861no—
1080#126—861no—
1081#126—861no—
1082#126—861no—
1083#126—861no—
1084#126—861no—
1085#126—861no—
1086#126—861no—
1087#126—861no—
1088#125—21no—
1089#125—431no—
1090#125—431no—
1091#125—861no—
1092#125—861no—
1093#125—861no—
1094#125—861no—
1095#125—861no—
1096#125—861no—
1097#125—861no—
1098#125C22×D4311yescharacteristic
1099#125C22×D4311yescharacteristic
1100#124—861no—
1101#124—861no—
1102#124—861no—
1103#124—861no—
1104#124—861no—
1105#124—861no—
1106#123—21no—
1107#123—21no—
1108#123—431no—
1109#123—431no—
1110#123—861no—
1111#123—861no—
1112#123—861no—
1113#123—861no—
1114#123—861no—
1115#123—861no—
1116#123—861no—
1117#123—861no—
1118#123—861no—
1119#123—861no—
1120#123—861no—
1121#123—861no—
1122C22⋊Q8—431no—
1123C22⋊Q8—431no—
1124C22⋊Q8—431no—
1125C22⋊Q8—431no—
1126C22⋊Q8—431no—
1127C22⋊Q8—431no—
1128C22⋊Q8—431no—
1129C22⋊Q8—431no—
1130C22⋊Q8—861no—
1131C22⋊Q8—861no—
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⋊Q8C22×D4311yescharacteristic
1143C22⋊Q8C22×D4311yescharacteristic
1144#121—21no—
1145#121—431no—
1146#121—431no—
1147#121—431no—
1148#121—431no—
1149#121—431no—
1150#121—431no—
1151#121—431no—
1152#121—431no—
1153#121—861no—
1154#121—861no—
1155#121—861no—
1156#121—861no—
1157#121—861no—
1158#121—861no—
1159#121—861no—
1160#121—861no—
1161#121—861no—
1162#121—861no—
1163#121—861no—
1164#121C22×D4311yescharacteristic
1165#121C22×D4311yescharacteristic
1166#120—431no—
1167#120—431no—
1168#120—861no—
1169#120—861no—
1170C4×Q8—431no—
1171C4×Q8—431no—
1172C4×Q8—431no—
1173C4×Q8—861no—
1174C4×Q8—861no—
1175C4×Q8—861no—
1176C4×Q8—861no—
1177C4×Q8C22×D4311yescharacteristic
1178C4×D4—21no—
1179C4×D4—431no—
1180C4×D4—431no—
1181C4×D4—431no—
1182C4×D4—431no—
1183C4×D4—431no—
1184C4×D4—431no—
1185C4×D4—861no—
1186C4×D4—861no—
1187C4×D4—861no—
1188C4×D4—861no—
1189C4×D4—861no—
1190C4×D4—861no—
1191C4×D4—861no—
1192C4×D4—861no—
1193C4×D4—861no—
1194C4×D4—861no—
1195C4×D4—861no—
1196C4×D4—861no—
1197C4×D4—861no—
1198C4×D4—861no—
1199C4×D4—861no—
1200C4×D4—861no—
1201C4×D4—861no—
1202C4×D4—861no—
1203C4×D4—861no—
1204C4×D4C22×D4311yescharacteristic
1205C4×D4C22×D4311yescharacteristic
1206#117—21no—
1207#117—431no—
1208#117—431no—
1209#117—431no—
1210#117—431no—
1211#117—431no—
1212#117—431no—
1213#117—431no—
1214#117—431no—
1215#117—431no—
1216#117—861no—
1217#117—861no—
1218#117—861no—
1219#117—861no—
1220#117—861no—
1221#117—861no—
1222#117—861no—
1223#117—861no—
1224#117—861no—
1225#117C22×D4311yescharacteristic
1226#117C22×D4311yescharacteristic
1227C2×C4⋊C4—431no—
1228C2×C4⋊C4—431no—
1229C2×C4⋊C4—431no—
1230C2×C4⋊C4—431no—
1231C2×C4⋊C4—431no—
1232C2×C4⋊C4—431no—
1233C2×C4⋊C4—431no—
1234C2×C4⋊C4—431no—
1235C2×C4⋊C4—431no—
1236C2×C4⋊C4—431no—
1237C2×C4⋊C4—861no—
1238C2×C4⋊C4—861no—
1239C2×C4⋊C4—861no—
1240C2×C4⋊C4—861no—
1241C2×C4⋊C4—861no—
1242C2×C4⋊C4C22×D4311yescharacteristic
1243C2×C4⋊C4C22×D4311yescharacteristic
1244C2×C22⋊C4—861no—
1245C2×C42—861no—
1246#107—431no—
1247#107—431no—
1248#107—431no—
1249#107—431no—
1250#107—431no—
1251#107—431no—
1252#107—431no—
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#107C22×D4311yescharacteristic
1262#107C22×D4311yescharacteristic
1263#107C22×D4311yescharacteristic
1264#106—431no—
1265#106—431no—
1266#106—431no—
1267#106—431no—
1268#106—431no—
1269#106—431no—
1270#106—431no—
1271#106—431no—
1272#106—431no—
1273#106—431no—
1274#106—431no—
1275#106—431no—
1276#106—431no—
1277#106C22×D4311yescharacteristic
1278#106C22×D4311yescharacteristic
1279#106C22×D4311yescharacteristic
1280#106C22×D4311yescharacteristic
1281#106C22×D4311yescharacteristic
1282C4⋊C8—431no—
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8C22×D4311yescharacteristic
1286#103—431no—
1287#103—431no—
1288#103—431no—
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103C22×D4311yescharacteristic
1296#103C22×D4311yescharacteristic
1297#103C22×D4311yescharacteristic
1298#102—431no—
1299#102—431no—
1300#102—431no—
1301#102—431no—
1302#102—431no—
1303#102—431no—
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102C22×D4311yescharacteristic
1308#102C22×D4311yescharacteristic
1309#102C22×D4311yescharacteristic
1310C22⋊C8—431no—
1311C22⋊C8—431no—
1312C22⋊C8—431no—
1313C22⋊C8—431no—
1314C22⋊C8—431no—
1315C22⋊C8—431no—
1316C22⋊C8C22×D4311yescharacteristic
1317C22⋊C8C22×D4311yescharacteristic
1318#97—431no—
1319#97—431no—
1320C4×C8—431no—
1321C4×C8C22×D4311yescharacteristic
1322C24—431no—
1323#41—862no—
1324#41—862no—
1325#41—862no—
1326#41—862no—
1327#41—862no—
1328#41—862no—
1329#41—3442no—
1330#41—3442no—
1331C2×Q8—431no—
1332C2×Q8—431no—
1333C2×Q8—861no—
1334C2×Q8—861no—
1335C2×Q8—861no—
1336C2×Q8—861no—
1337C2×Q8C23×D4311yescharacteristic
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—431no—
1341C2×D4—431no—
1342C2×D4—431no—
1343C2×D4—431no—
1344C2×D4—431no—
1345C2×D4—431no—
1346C2×D4—431no—
1347C2×D4—861no—
1348C2×D4—861no—
1349C2×D4—861no—
1350C2×D4—861no—
1351C2×D4—861no—
1352C2×D4—861no—
1353C2×D4—861no—
1354C2×D4—861no—
1355C2×D4D4×D4311yescharacteristic
1356C2×D4C23×D4311yescharacteristic
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—431no—
1361C22×C4—431no—
1362C22×C4—431no—
1363C22×C4—431no—
1364C22×C4—431no—
1365C22×C4—431no—
1366C22×C4—862no—
1367C22×C4—862no—
1368C22×C4—861no—
1369C22×C4—861no—
1370C22×C4—861no—
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—3442no—
1384C22×C4C23×D4311yescharacteristic
1385C22×C4C23×D4311yescharacteristic
1386Q16—862no—
1387SD16—22no—
1388SD16—862no—
1389D8—862no—
1390M16—22no—
1391M16—22no—
1392M16—862no—
1393M16—862no—
1394M16—862no—
1395M16—862no—
1396M16—862no—
1397M16—862no—
1398C2×C8—431no—
1399C2×C8—434no—
1400C2×C8—431no—
1401C2×C8—431no—
1402C2×C8—431no—
1403C2×C8—862no—
1404C2×C8—862no—
1405C2×C8—862no—
1406C2×C8C23×D4311yescharacteristic
1407C2×C8C23×D4311yescharacteristic
1408C2×C8C23×D4311yescharacteristic
1409C2×C8C23×D4311yescharacteristic
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—431no—
1420C4⋊C4—431no—
1421C4⋊C4—431no—
1422C4⋊C4—431no—
1423C4⋊C4—431no—
1424C4⋊C4—431no—
1425C4⋊C4—431no—
1426C4⋊C4—431no—
1427C4⋊C4—431no—
1428C4⋊C4—431no—
1429C4⋊C4—431no—
1430C4⋊C4—861no—
1431C4⋊C4—861no—
1432C4⋊C4—861no—
1433C4⋊C4—861no—
1434C4⋊C4—861no—
1435C4⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1458C4⋊C4C23×D4311yescharacteristic
1459C4⋊C4C23×D4311yescharacteristic
1460C4⋊C4C23×D4311yescharacteristic
1461C4⋊C4C23×D4311yescharacteristic
1462C4⋊C4C23×D4311yescharacteristic
1463C4⋊C4C23×D4311yescharacteristic
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—431no—
1472C22⋊C4—431no—
1473C22⋊C4—431no—
1474C22⋊C4—431no—
1475C22⋊C4—431no—
1476C22⋊C4—431no—
1477C22⋊C4—431no—
1478C22⋊C4—431no—
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—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—861no—
1509C42—861no—
1510C42—861no—
1511C42—861no—
1512C42—861no—
1513C42—861no—
1514C42—861no—
1515C42—861no—
1516C42—861no—
1517C42—861no—
1518C42—861no—
1519C42C23×D4311yescharacteristic
1520C23—21no—
1521C23—431no—
1522C23—431no—
1523C23—431no—
1524C23—862no—
1525C23—861no—
1526C23—1721no—
1527C23—1721no—
1528C23C2×D4×D4311yescharacteristic
1529C23C2×D4×D4311yescharacteristic
1530Q8—21no—
1531Q8—21no—
1532Q8—862no—
1533Q8—861no—
1534Q8—861no—
1535Q8—3441no—
1536Q8—3441no—
1537Q8—3441no—
1538Q8—3441no—
1539D4—21no—
1540D4—21no—
1541D4—41no—
1542D4—42no—
1543D4—81no—
1544D4—862no—
1545D4—862no—
1546D4—862no—
1547D4—861no—
1548D4—861no—
1549D4—3441no—
1550D4—3441no—
1551D4—3441no—
1552D4—3441no—
1553D4—3441no—
1554D4—1721no—
1555D4—1722no—
1556D4—1721no—
1557D4—1721no—
1558D4—1722no—
1559D4—1722no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—81no—
1572C2×C4—81no—
1573C2×C4—81no—
1574C2×C4—431no—
1575C2×C4—432no—
1576C2×C4—432no—
1577C2×C4—431no—
1578C2×C4—431no—
1579C2×C4—431no—
1580C2×C4—431no—
1581C2×C4—862no—
1582C2×C4—862no—
1583C2×C4—862no—
1584C2×C4—861no—
1585C2×C4—861no—
1586C2×C4—861no—
1587C2×C4—861no—
1588C2×C4—861no—
1589C2×C4—861no—
1590C2×C4—861no—
1591C2×C4—861no—
1592C2×C4—861no—
1593C2×C4—861no—
1594C2×C4—861no—
1595C2×C4—3441no—
1596C2×C4—3441no—
1597C2×C4—3441no—
1598C2×C4—3441no—
1599C2×C4—3441no—
1600C2×C4—3441no—
1601C2×C4—3441no—
1602C2×C4—3441no—
1603C2×C4—3441no—
1604C2×C4—3441no—
1605C2×C4—3441no—
1606C2×C4—1722no—
1607C2×C4—1722no—
1608C2×C4—1722no—
1609C2×C4—1722no—
1610C2×C4C2×D4×D4311yescharacteristic
1611C2×C4C2×D4×D4311yescharacteristic
1612C2×C4C2×D4×D4311yescharacteristic
1613C2×C4C2×D4×D4311yescharacteristic
1614C2×C4C24×D4311yescharacteristic
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—432no—
1619C8—861no—
1620C8—861no—
1621C8—861no—
1622C8#41×D4312yes—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—21no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—432no—
1633C22—861no—
1634C22—861no—
1635C22—861no—
1636C22—861no—
1637C22—861no—
1638C22—861no—
1639C22—861no—
1640C22—861no—
1641C22—1724no—
1642C22—1721no—
1643C22—1721no—
1644C22—1721no—
1645C22C22×D4×D4311yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—432no—
1658C4—861no—
1659C4—861no—
1660C4—861no—
1661C4—861no—
1662C4—1721no—
1663C4—1721no—
1664C4—1721no—
1665C4—1721no—
1666C4—1721no—
1667C4—1721no—
1668C4—1721no—
1669C4C2×#41×D4311yescharacteristic
1670C42−1+4×D4311yescharacteristic
1671C2—41no—
1672C2—41no—
1673C2—81no—
1674C2—862no—
1675C2—3441no—
1676C2—1721no—
1677C2—1721no—
1678C2#547×D4311yescharacteristic
1679C2#1914937311yescharacteristic
1680C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3351C2
socleC22×C43C23×D4
hypercenter#3351D43
hypocenterC43#61265
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3351

Complements

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

NH ≅ G/Ntype
1. #19148313C2semidirect
2. #19148299C2semidirect
3. #19147222C2semidirect
4. #19147217C2semidirect
5. #19147181C2semidirect
6. #19147174C2semidirect
7. #19147156C2semidirect
8. #19147154C2semidirect
9. #19147150C2semidirect
10. #19147132C2semidirect
11. #19147129C2semidirect
12. #19147089C2semidirect
13. #19147088C2semidirect
14. #19147063C2semidirect
15. #19147062C2semidirect
16. #19147053C2semidirect
17. #19147050C2semidirect
18. #19145132C2semidirect
19. #19144585C2semidirect
20. #19144576C2semidirect
21. #19144523C2semidirect
22. #19144519C2semidirect
23. #19144460C2semidirect
24. #19144447C2semidirect
25. #19144263C2semidirect
26. #19144199C2semidirect
27. #19143473C2semidirect
28. #19143295C2semidirect
29. #19143189C2semidirect
30. #428×D43C2semidirect
31. C43×#3351C2semidirect
78. #14583309C22semidirect
79. #14583309C22semidirect
80. #14583306C22semidirect
81. #14583306C22semidirect
82. #14583304C22semidirect
83. #14583303C22semidirect
84. #14583300C22semidirect
86. #14583243C22semidirect
89. #14583241C22semidirect
91. #14583239C22semidirect
94. #14583233C22semidirect
95. #14583232C22semidirect
96. #14583231C22semidirect
97. #14583229C22semidirect
99. #14583225C22semidirect
100. #14583223C22semidirect
103. #14583221C22semidirect
105. #14583220C22semidirect
108. #14583216C22semidirect
109. #14583214C22semidirect
111. #14583213C22semidirect
113. #14583209C22semidirect
114. #14583204C22semidirect
115. #14583203C22semidirect
116. #14583202C22semidirect
117. #14583197C22semidirect
118. #14583196C22semidirect
119. #14583195C22semidirect
120. #14583193C22semidirect
121. #14583190C22semidirect
122. #14583188C22semidirect
123. #14583184C22semidirect
124. #14583182C22semidirect
125. #14583179C22semidirect
126. #14583177C22semidirect
132. #14583146C22semidirect
134. #14583145C22semidirect
136. #14583142C22semidirect
137. #14583139C22semidirect
138. #14583138C22semidirect
139. #14583134C22semidirect
140. #14583133C22semidirect
141. #14583009C22semidirect
142. #14583008C22semidirect
143. #14583004C22semidirect
144. #14583003C22semidirect
145. C4×#10621873C22semidirect
146. SD16×Dic43C22semidirect
147. #14582986C22semidirect
157. #14582941C22semidirect
161. #14582940C22semidirect
168. #14582938C22semidirect
170. #14582936C22semidirect
171. #14582935C22semidirect
174. C2×#13063256C22semidirect
177. #106×D43C22semidirect
190. C43×#499C22semidirect
191. C43×#485C22semidirect
194. C43×#481C22semidirect
195. C43×#479C22semidirect
196. C43×#478C22semidirect
198. C43×#468C22semidirect
199. C4×SD16×C43C22semidirect
202. C43×#428C22semidirect
678. C8×D43#41semidirect
840. #3351D43semidirect
927. #499C2×D43semidirect
935. #485C2×D43semidirect
955. #481C2×D43semidirect
963. #479C2×D43semidirect
967. #478C2×D43semidirect
987. #468C2×D43semidirect
999. C4×SD16C2×D43semidirect
1023. #428C2×D43semidirect
1043. C43#61265semidirect

Maximal subgroups

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

subgroupindex
#191483132
#191482992
#191472222
#191472172
#191471812
#191471742
#191471562
#191471542
#191471502
#191471322
#191471292
#191470892
#191470882
#191470632
#191470622
#191470532
#191470502
#191451322
#191445852
#191445762
#191445232
#191445192
#191444602
#191444472
#191442632
#191441992
#191434732
#191432952
#191431892
#428×D432
C43×#33512
#6126543