Finite Group Databasebeta

← #25975632

Subgroups — #25975632

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#19148306C211yesmaximal, characteristic, complemented
2#19148295C211yesmaximal, characteristic, complemented
3#19147208C211yesmaximal, characteristic, complemented
4#19147207C211yesmaximal, characteristic, complemented
5#19147198C211yesmaximal, characteristic, complemented
6#19147194C211yesmaximal, characteristic, complemented
7#19147184C211yesmaximal, characteristic, complemented
8#19147183C211yesmaximal, characteristic, complemented
9#19147164C211yesmaximal, characteristic, complemented
10#19147163C211yesmaximal, characteristic, complemented
11#19147139C211yesmaximal, characteristic, complemented
12#19147136C211yesmaximal, characteristic, complemented
13#19147105C211yesmaximal, characteristic, complemented
14#19147086C211yesmaximal, characteristic, complemented
15#19147085C211yesmaximal, characteristic, complemented
16#19147037C211yesmaximal, characteristic, complemented
17#19147036C211yesmaximal, characteristic, complemented
18#19145122C211yesmaximal, characteristic, complemented
19#19144587C211yesmaximal, characteristic, complemented
20#19144576C211yesmaximal, characteristic, complemented
21#19144527C211yesmaximal, characteristic, complemented
22#19144517C211yesmaximal, characteristic, complemented
23#19144454C211yesmaximal, characteristic, complemented
24#19144447C211yesmaximal, characteristic, complemented
25#19144252C211yesmaximal, characteristic, complemented
26#19144199C211yesmaximal, characteristic, complemented
27#19143467C211yesmaximal, characteristic, complemented
28#19143293C211yesmaximal, characteristic, complemented
29#19143192C211yesmaximal, characteristic, complemented
30#428×D43C211yesmaximal, characteristic, complemented
31C43×#3348C211yesmaximal, characteristic, complemented
32C2×#13063346C2211yescharacteristic
33C2×#13063331C2211yescharacteristic
34C2×M16×D43C2211yescharacteristic
35#14583623C2211yescharacteristic
36#14583618—21no—
37#14583617C2211yescharacteristic
38#14583613C2211yescharacteristic
39#14583611—21no—
40#14583609C2211yescharacteristic
41#14583607C2211yescharacteristic
42#14583605—21no—
43#14583602C2211yescharacteristic
44#14583601C2211yescharacteristic
45#14583600—21no—
46#14583599C2211yescharacteristic
47#14583593C2211yescharacteristic
48#14583592—21no—
49#14583591C2211yescharacteristic
50#14583589C2211yescharacteristic
51#14583588C2211yescharacteristic
52#14583582—21no—
53#14583582—21no—
54#14583553C2211yescharacteristic
55#14583550C2211yescharacteristic
56#14583547—21no—
57#14583529C2211yescharacteristic
58#14583526C2211yescharacteristic
59#14583497—21no—
60#14583490—21no—
61#14583483—21no—
62#14583481—21no—
63#14583479C2211yescharacteristic
64#14583478C2211yescharacteristic
65#14583428—21no—
66#14583427—21no—
67#14583412C2211yescharacteristic
68#14583411—21no—
69#14583409C2211yescharacteristic
70#14583408C2211yescharacteristic
71#14583407—21no—
72#14583381C2211yescharacteristic
73#14583379C2211yescharacteristic
74#14583379C2211yescharacteristic
75#14583378C2211yescharacteristic
76#117×D43C2211yescharacteristic
77C2×C4⋊C4×D43C2211yescharacteristic
78#14583308C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583306C2211yescharacteristic, complemented
81#14583300C2211yescharacteristic, complemented
82#14583298C2211yescharacteristic, complemented
83#14583296C2211yescharacteristic, complemented
84#14583295C2211yescharacteristic, complemented
85#14583242C2211yescharacteristic, complemented
86#14583240C2211yescharacteristic, complemented
87#14583239C2211yescharacteristic
88#14583239C2211yescharacteristic, complemented
89#14583238C2211yescharacteristic
90#14583237C2211yescharacteristic
91#14583235C2211yescharacteristic
92#14583234C2211yescharacteristic
93#14583233C2211yescharacteristic, complemented
94#14583232C2211yescharacteristic, complemented
95#14583231C2211yescharacteristic
96#14583231C2211yescharacteristic
97#14583231C2211yescharacteristic, complemented
98#14583230C2211yescharacteristic, complemented
99#14583226C2211yescharacteristic
100#14583225C2211yescharacteristic
101#14583225C2211yescharacteristic, complemented
102#14583224C2211yescharacteristic
103#14583223C2211yescharacteristic
104#14583223C2211yescharacteristic, complemented
105#14583222C2211yescharacteristic, complemented
106#14583216C2211yescharacteristic, complemented
107#14583215C2211yescharacteristic
108#14583215C2211yescharacteristic, complemented
109#14583214C2211yescharacteristic, complemented
110#14583213C2211yescharacteristic, complemented
111#14583211C2211yescharacteristic
112#14583211C2211yescharacteristic
113#14583209C2211yescharacteristic, complemented
114#14583208C2211yescharacteristic, complemented
115#14583206C2211yescharacteristic, complemented
116#14583203C2211yescharacteristic, complemented
117#14583200C2211yescharacteristic, complemented
118#14583198C2211yescharacteristic, complemented
119#14583197C2211yescharacteristic, complemented
120#14583195C2211yescharacteristic, complemented
121#14583193C2211yescharacteristic, complemented
122#14583188C2211yescharacteristic, complemented
123#14583186C2211yescharacteristic, complemented
124#14583182C2211yescharacteristic, complemented
125#14583179C2211yescharacteristic, complemented
126#14583177C2211yescharacteristic, complemented
127#14583156C2211yescharacteristic
128#14583156C2211yescharacteristic, complemented
129#14583155C2211yescharacteristic
130#14583155C2211yescharacteristic, complemented
131#14583151C2211yescharacteristic
132#14583151C2211yescharacteristic, complemented
133#14583150C2211yescharacteristic
134#14583150C2211yescharacteristic, complemented
135#14583146C2211yescharacteristic
136#14583145C2211yescharacteristic
137#14583142C2211yescharacteristic
138#14583129C2211yescharacteristic, complemented
139#14583128C2211yescharacteristic, complemented
140#14583125C2211yescharacteristic, complemented
141#14583001C2211yescharacteristic, complemented
142#14583000C2211yescharacteristic, complemented
143#14582998C2211yescharacteristic, complemented
144C4×#10621885C2211yescharacteristic, complemented
145#14582991C2211yescharacteristic, complemented
146C4×#10621882C2211yescharacteristic, complemented
147#14582979C2211yescharacteristic, complemented
148#14582977C2211yescharacteristic
149#14582976C2211yescharacteristic
150#14582974C2211yescharacteristic
151#14582974C2211yescharacteristic
152#14582972C2211yescharacteristic
153#14582970C2211yescharacteristic
154#14582968C2211yescharacteristic
155#14582942C2211yescharacteristic
156#14582942C2211yescharacteristic, complemented
157#14582942C2211yescharacteristic, complemented
158#14582941C2211yescharacteristic
159#14582940C2211yescharacteristic
160#14582940C2211yescharacteristic
161#14582940C2211yescharacteristic
162#14582939C2211yescharacteristic
163#14582938C2211yescharacteristic
164#14582938C2211yescharacteristic
165#14582938C2211yescharacteristic
166#14582938C2211yescharacteristic
167#14582938C2211yescharacteristic
168#14582938C2211yescharacteristic, complemented
169#14582938C2211yescharacteristic, complemented
170#14582936C2211yescharacteristic
171#14582936C2211yescharacteristic, complemented
172C2×#13063259C2211yescharacteristic, complemented
173#107×D43C2211yescharacteristic
174#107×D43C2211yescharacteristic
175#107×D43C2211yescharacteristic, complemented
176#106×D43C2211yescharacteristic
177#106×D43C2211yescharacteristic
178#14582924C2211yescharacteristic
179#14582899C2211yescharacteristic
180#14582899C2211yescharacteristic
181#14582897C2211yescharacteristic
182#14582897C2211yescharacteristic
183#14582894C2211yescharacteristic
184#14582892C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582861C2211yescharacteristic
187#14582856C2211yescharacteristic
188C43×#555C2211yescharacteristic
189C43×#552C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic
192C43×#485C2211yescharacteristic, complemented
193C43×#482C2211yescharacteristic, complemented
194C43×#481C2211yescharacteristic
195C43×#478C2211yescharacteristic, complemented
196C43×#475C2211yescharacteristic, complemented
197C43×#468C2211yescharacteristic
198C43×#465C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic
201C43×#428C2211yescharacteristic
202C43×#427C2211yescharacteristic, 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#13063331—24no—
215C2×#10621877C2311yescharacteristic
216C2×#10621877C2311yescharacteristic
217C2×#10621872C2311yescharacteristic
218C2×#10621872C2311yescharacteristic
219C2×#10621872C2311yescharacteristic
220C2×#10621872C2311yescharacteristic
221C2×#10621872C2311yescharacteristic
222M16×D43—24no—
223C2×C8×D43C2311yescharacteristic
224C2×C8×D43C2311yescharacteristic
225C2×C8×D43C2311yescharacteristic
226#13063325C2311yescharacteristic
227#13063324—21no—
228#13063324C2311yescharacteristic
229#13063324C2311yescharacteristic
230#13063323—21no—
231#13063320—21no—
232#13063320—21no—
233#13063320—21no—
234#13063320—21no—
235#13063319—21no—
236#13063319—21no—
237#13063318—21no—
238#13063318—21no—
239#13063318—21no—
240#13063318—21no—
241#13063318—21no—
242#13063317—21no—
243#13063317—21no—
244#13063317C2311yescharacteristic
245#13063316—21no—
246#13063316C2311yescharacteristic
247#13063316C2311yescharacteristic
248#13063315—21no—
249#13063315—21no—
250#13063315—21no—
251#13063315—21no—
252#13063314—21no—
253#13063312—21no—
254#13063311—21no—
255#13063311—21no—
256#13063310—21no—
257#13063310—21no—
258#13063310—21no—
259#13063310D411yescharacteristic
260#13063309—21no—
261#13063309—21no—
262#13063309—21no—
263#13063309—21no—
264#13063308—21no—
265#13063308—21no—
266#13063307—21no—
267#13063307—21no—
268#13063307—21no—
269#13063307D411yescharacteristic
270#13063306—21no—
271#13063305—21no—
272#13063305—21no—
273#13063305—21no—
274#13063305C2311yescharacteristic
275#13063305C2311yescharacteristic
276#13063304C2311yescharacteristic
277#13063304C2311yescharacteristic
278#13063303—21no—
279#13063303—21no—
280#13063303—21no—
281#13063303—21no—
282#13063303—21no—
283#13063303—21no—
284#13063303D411yescharacteristic
285#13063302—21no—
286#13063302—21no—
287#13063302D411yescharacteristic
288#13063301—21no—
289#13063301C2311yescharacteristic
290#13063301C2311yescharacteristic
291#13063300—21no—
292#13063300—21no—
293#13063300C2311yescharacteristic
294#13063300C2311yescharacteristic
295#13063299C2311yescharacteristic
296#13063299C2311yescharacteristic
297#13063298—21no—
298#13063298—21no—
299#13063298—21no—
300#13063298—21no—
301#13063298—21no—
302#13063298D411yescharacteristic
303#13063297—21no—
304#13063297—21no—
305#13063297—21no—
306#13063297D411yescharacteristic
307#13063296—21no—
308#13063296C2311yescharacteristic
309#13063296C2311yescharacteristic
310#13063295—21no—
311#13063295D411yescharacteristic
312#13063293—21no—
313#13063293D411yescharacteristic
314Q8×Dic43—21no—
315Q8×Dic43C2311yescharacteristic
316C4×Dic86—21no—
317C4×Dic86—21no—
318C4×Dic86—21no—
319C4×Dic86C2311yescharacteristic
320#13063290C2311yescharacteristic
321C4×D172—21no—
322C4×D172—21no—
323C4×D172—21no—
324C4×D172—21no—
325C4×D172—21no—
326C4×D172C2311yescharacteristic
327C4×D172C2311yescharacteristic
328D4×Dic43—21no—
329D4×Dic43—21no—
330D4×Dic43C2311yescharacteristic
331#13063287—21no—
332#13063287—21no—
333#13063287—21no—
334#13063287C2311yescharacteristic
335C4×C22⋊D43—21no—
336C4×C22⋊D43—21no—
337C4×C22⋊D43C2311yescharacteristic
338C4×C22⋊D43C2311yescharacteristic
339(C22⋊D43)⋊C4—21no—
340(C22⋊D43)⋊C4—21no—
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(C22⋊D43)⋊C4—21no—
347#13063284C2311yescharacteristic
348#13063283C2311yescharacteristic
349#13063283C2311yescharacteristic
350#13063283C2311yescharacteristic
351#13063283C2311yescharacteristic
352#13063283C2311yescharacteristic
353#13063283C2311yescharacteristic
354#13063282—21no—
355#13063282—21no—
356#13063282—21no—
357#13063282C2311yescharacteristic
358#13063281—21no—
359#13063281—21no—
360#13063281—21no—
361#13063281—21no—
362#13063281—21no—
363C2×C4⋊Dic43C2311yescharacteristic
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#13063235C2311yescharacteristic
436C4×C43⋊C8C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C22×C8×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442#126×C43—21no—
443#125×C43—21no—
444#125×C43C2311yescharacteristic
445#124×C43—21no—
446#124×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×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456#117×C43—21no—
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460#117×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
480#97×C43C2311yescharacteristic
481C23×D43C2×D411yescharacteristic
482C2×Q8×C43—21no—
483C2×Q8×C43C2411yescharacteristic
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43C2×D411yescharacteristic
487C2×D4×C43C2411yescharacteristic
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×Dic43—21no—
506C22×Dic43C2×D411yescharacteristic
507#10621902—22no—
508#10621902—22no—
509#10621900—22no—
510#10621900—22no—
511#10621900—82no—
512#10621898—22no—
513#10621898—22no—
514#10621898—82no—
515C2×D172—21no—
516C2×D172—21no—
517C2×D172—21no—
518C2×D172C2×D411yescharacteristic
519C2×D172C2×D411yescharacteristic
520C2×D172C2411yescharacteristic
521C2×C4×D43—22no—
522C2×C4×D43—22no—
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—21no—
534C2×C4×D43—82no—
535C2×C4×D43C2×D411yescharacteristic
536C2×C4×D43C2×D411yescharacteristic
537C2×C4×D43C2411yescharacteristic
538C2×C4×D43C2411yescharacteristic
539C2×C4×D43C2411yescharacteristic
540C2×Dic86—21no—
541C2×Dic86—21no—
542C2×Dic86—21no—
543C2×Dic86C2×D411yescharacteristic
544C2×Dic86C2411yescharacteristic
545SD16×C43—22no—
546M16×C43—22no—
547C2×C8×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×C43C2×D411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C4⋊C4×C43C2411yescharacteristic
562C4⋊C4×C43C2411yescharacteristic
563C4⋊C4×C43C2411yescharacteristic
564C4⋊C4×C43C2411yescharacteristic
565C4⋊C4×C43C2411yescharacteristic
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
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×C43C2×D411yescharacteristic
575C22⋊C4×C43C2×D411yescharacteristic
576C42×C43—21no—
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⋊Dic43C2×D411yescharacteristic
588C22⋊Dic43C2×D411yescharacteristic
589#10621885—22no—
590#10621882—22no—
591(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
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
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⋊Dic43C2×D411yescharacteristic
623C4⋊Dic43C2411yescharacteristic
624C4⋊Dic43C2411yescharacteristic
625C4⋊Dic43C2411yescharacteristic
626C4⋊Dic43C2411yescharacteristic
627C4⋊Dic43C2411yescharacteristic
628C4⋊Dic43C2411yescharacteristic
629Dic43⋊C4—21no—
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⋊C4—21no—
649Dic43⋊C4C2×D411yescharacteristic
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652Dic43⋊C4C2×D411yescharacteristic
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—
665#10621877—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—
691Q8×C43—81no—
692D4×C43—21no—
693D4×C43—21no—
694D4×C43—41no—
695D4×C43—81no—
696D4×C43—81no—
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—21no—
708C2×C4×C43—42no—
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—42no—
734C2×Dic43—81no—
735C2×Dic43—81no—
736C2×Dic43—81no—
737C2×Dic43C22×D411yescharacteristic
738C2×Dic43C22×D411yescharacteristic
739C2×Dic43C22×D411yescharacteristic
740C2×Dic43C22×D411yescharacteristic
741C2×Dic43C22×D411yescharacteristic
742D172—22no—
743D172—21no—
744D172—21no—
745D172—41no—
746D172—42no—
747D172—42no—
748D172—81no—
749C4×D43—22no—
750C4×D43—21no—
751C4×D43—21no—
752C4×D43—21no—
753C4×D43—21no—
754C4×D43—22no—
755C4×D43—42no—
756C4×D43—81no—
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×D43—81no—
766C4×D43C2×#4112yes—
767C4×D432−1+412yes—
768Dic86—22no—
769Dic86—21no—
770Dic86—21no—
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#61266—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#3356—431no—
834#3356—431no—
835#3355—431no—
836#3355—431no—
837#3354—431no—
838#3354—431no—
839#3352—431no—
840#3352—431no—
841#3350—431no—
842#3350—431no—
843#3348—431no—
844#3348D4311yescharacteristic, complemented
845#3346—431no—
846#3346—431no—
847#3343—431no—
848#3343—431no—
849#3163—431no—
850#3099—431no—
851#3098—431no—
852#3093—431no—
853#3092—431no—
854#3084—431no—
855#3083—431no—
856#3060—431no—
857#3054—431no—
858#2951—431no—
859#2930—431no—
860#2913—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—861no—
880#555C2×D4311yescharacteristic
881#554—431no—
882#554—431no—
883#554—861no—
884#553—431no—
885#553—431no—
886#553—431no—
887#553—431no—
888#553—861no—
889#553—861no—
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#501C2×D4311yescharacteristic, complemented
924#499—431no—
925#499—431no—
926#498—431no—
927#498—431no—
928#485—431no—
929#485—431no—
930#485—431no—
931#485—431no—
932#485—431no—
933#485—431no—
934#485C2×D4311yescharacteristic
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#483—431no—
944#482—431no—
945#482—431no—
946#482—431no—
947#482—431no—
948#482—431no—
949#482—431no—
950#482—431no—
951#482C2×D4311yescharacteristic, complemented
952#481—431no—
953#481—431no—
954#481—431no—
955#481C2×D4311yescharacteristic
956#480—431no—
957#480—431no—
958#480—431no—
959#480—431no—
960#479—431no—
961#479—431no—
962#479—431no—
963#479—431no—
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#475C2×D4311yescharacteristic, complemented
974#474—431no—
975#474—431no—
976#470—431no—
977#470—431no—
978#470—431no—
979#470—431no—
980#469—431no—
981#469—431no—
982#469—431no—
983#469—431no—
984#468—431no—
985#468—431no—
986#468—431no—
987#468C2×D4311yescharacteristic
988#465—431no—
989#465—431no—
990#465—431no—
991#465C2×D4311yescharacteristic, complemented
992#440—431no—
993#440—431no—
994#440—431no—
995#440C2×D4311yescharacteristic, complemented
996C4×Q16—431no—
997C4×Q16—431no—
998C4×D8—431no—
999C4×D8—431no—
1000#436—431no—
1001#436—431no—
1002#436—431no—
1003#436—431no—
1004#435—431no—
1005#435—431no—
1006#435—431no—
1007#435C2×D4311yescharacteristic
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#428—431no—
1023#428C2×D4311yescharacteristic
1024#427—431no—
1025#427—431no—
1026#427C2×D4311yescharacteristic, complemented
1027C2×#107—431no—
1028C2×#107—431no—
1029C2×#107—431no—
1030C2×#107—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#6126611yescharacteristic, 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—431no—
1064C2×M16—864no—
1065C2×M16C22×D4311yescharacteristic
1066C22×C8—431no—
1067C22×C8—431no—
1068C22×C8—431no—
1069C22×C8C22×D4311yescharacteristic
1070C4⋊Q8—431no—
1071C4⋊Q8—431no—
1072C4⋊Q8—431no—
1073C4⋊Q8—861no—
1074C4⋊Q8—861no—
1075C4⋊Q8C22×D4311yescharacteristic
1076#126—21no—
1077#126—861no—
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—431no—
1092#125—861no—
1093#125—861no—
1094#125—861no—
1095#125—861no—
1096#125—861no—
1097#125—861no—
1098#125—861no—
1099#125C22×D4311yescharacteristic
1100#124—21no—
1101#124—21no—
1102#124—861no—
1103#124—861no—
1104#124—861no—
1105#124—861no—
1106#123—21no—
1107#123—431no—
1108#123—431no—
1109#123—861no—
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—431no—
1179C4×D4—431no—
1180C4×D4—431no—
1181C4×D4—431no—
1182C4×D4—431no—
1183C4×D4—431no—
1184C4×D4—861no—
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—21no—
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#117C22×D4311yescharacteristic
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—431no—
1238C2×C4⋊C4—861no—
1239C2×C4⋊C4—861no—
1240C2×C4⋊C4—861no—
1241C2×C4⋊C4—861no—
1242C2×C4⋊C4—861no—
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#97C22×D4311yescharacteristic
1320C4×C8—431no—
1321C4×C8—431no—
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—21no—
1332C2×Q8—431no—
1333C2×Q8—431no—
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—431no—
1360C22×C4—431no—
1361C22×C4—431no—
1362C22×C4—431no—
1363C22×C4—431no—
1364C22×C4—431no—
1365C22×C4—862no—
1366C22×C4—862no—
1367C22×C4—861no—
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—862no—
1392M16—862no—
1393M16—862no—
1394M16—862no—
1395M16—862no—
1396M16—862no—
1397M16—862no—
1398C2×C8—22no—
1399C2×C8—431no—
1400C2×C8—434no—
1401C2×C8—431no—
1402C2×C8—431no—
1403C2×C8—431no—
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—431no—
1418C4⋊C4—431no—
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—861no—
1429C4⋊C4—861no—
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—21no—
1472C22⋊C4—431no—
1473C22⋊C4—431no—
1474C22⋊C4—431no—
1475C22⋊C4—431no—
1476C22⋊C4—431no—
1477C22⋊C4—431no—
1478C22⋊C4—431no—
1479C22⋊C4—431no—
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—21no—
1508C42—431no—
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—81no—
1533Q8—862no—
1534Q8—861no—
1535Q8—861no—
1536Q8—3441no—
1537Q8—3441no—
1538Q8—3441no—
1539D4—21no—
1540D4—21no—
1541D4—41no—
1542D4—81no—
1543D4—81no—
1544D4—862no—
1545D4—862no—
1546D4—862no—
1547D4—861no—
1548D4—861no—
1549D4—3441no—
1550D4—3441no—
1551D4—3441no—
1552D4—3441no—
1553D4—1721no—
1554D4—1722no—
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—42no—
1572C2×C4—81no—
1573C2×C4—431no—
1574C2×C4—432no—
1575C2×C4—432no—
1576C2×C4—431no—
1577C2×C4—431no—
1578C2×C4—431no—
1579C2×C4—431no—
1580C2×C4—862no—
1581C2×C4—862no—
1582C2×C4—862no—
1583C2×C4—861no—
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—3441no—
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—3441no—
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#1914937211yescharacteristic
1680C2#1914937711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3348C2
socleC22×C43C23×D4
hypercenter#3348D43
hypocenterC43#61266
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3348

Complements

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

NH ≅ G/Ntype
1. #19148306C2semidirect
2. #19148295C2semidirect
3. #19147208C2semidirect
4. #19147207C2semidirect
5. #19147198C2semidirect
6. #19147194C2semidirect
7. #19147184C2semidirect
8. #19147183C2semidirect
9. #19147164C2semidirect
10. #19147163C2semidirect
11. #19147139C2semidirect
12. #19147136C2semidirect
13. #19147105C2semidirect
14. #19147086C2semidirect
15. #19147085C2semidirect
16. #19147037C2semidirect
17. #19147036C2semidirect
18. #19145122C2semidirect
19. #19144587C2semidirect
20. #19144576C2semidirect
21. #19144527C2semidirect
22. #19144517C2semidirect
23. #19144454C2semidirect
24. #19144447C2semidirect
25. #19144252C2semidirect
26. #19144199C2semidirect
27. #19143467C2semidirect
28. #19143293C2semidirect
29. #19143192C2semidirect
30. #428×D43C2semidirect
31. C43×#3348C2semidirect
78. #14583308C22semidirect
79. #14583307C22semidirect
80. #14583306C22semidirect
81. #14583300C22semidirect
82. #14583298C22semidirect
83. #14583296C22semidirect
84. #14583295C22semidirect
85. #14583242C22semidirect
86. #14583240C22semidirect
88. #14583239C22semidirect
93. #14583233C22semidirect
94. #14583232C22semidirect
97. #14583231C22semidirect
98. #14583230C22semidirect
101. #14583225C22semidirect
104. #14583223C22semidirect
105. #14583222C22semidirect
106. #14583216C22semidirect
108. #14583215C22semidirect
109. #14583214C22semidirect
110. #14583213C22semidirect
113. #14583209C22semidirect
114. #14583208C22semidirect
115. #14583206C22semidirect
116. #14583203C22semidirect
117. #14583200C22semidirect
118. #14583198C22semidirect
119. #14583197C22semidirect
120. #14583195C22semidirect
121. #14583193C22semidirect
122. #14583188C22semidirect
123. #14583186C22semidirect
124. #14583182C22semidirect
125. #14583179C22semidirect
126. #14583177C22semidirect
128. #14583156C22semidirect
130. #14583155C22semidirect
132. #14583151C22semidirect
134. #14583150C22semidirect
138. #14583129C22semidirect
139. #14583128C22semidirect
140. #14583125C22semidirect
141. #14583001C22semidirect
142. #14583000C22semidirect
143. #14582998C22semidirect
144. C4×#10621885C22semidirect
145. #14582991C22semidirect
146. C4×#10621882C22semidirect
147. #14582979C22semidirect
156. #14582942C22semidirect
157. #14582942C22semidirect
168. #14582938C22semidirect
169. #14582938C22semidirect
171. #14582936C22semidirect
172. C2×#13063259C22semidirect
175. #107×D43C22semidirect
190. C43×#501C22semidirect
192. C43×#485C22semidirect
193. C43×#482C22semidirect
195. C43×#478C22semidirect
196. C43×#475C22semidirect
198. C43×#465C22semidirect
199. C43×#440C22semidirect
202. C43×#427C22semidirect
678. C8×D43#41semidirect
844. #3348D43semidirect
923. #501C2×D43semidirect
935. #485C2×D43semidirect
951. #482C2×D43semidirect
967. #478C2×D43semidirect
973. #475C2×D43semidirect
991. #465C2×D43semidirect
995. #440C2×D43semidirect
1026. #427C2×D43semidirect
1043. C43#61266semidirect

Maximal subgroups

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

subgroupindex
#191483062
#191482952
#191472082
#191472072
#191471982
#191471942
#191471842
#191471832
#191471642
#191471632
#191471392
#191471362
#191471052
#191470862
#191470852
#191470372
#191470362
#191451222
#191445872
#191445762
#191445272
#191445172
#191444542
#191444472
#191442522
#191441992
#191434672
#191432932
#191431922
#428×D432
C43×#33482
#6126643