Finite Group Databasebeta

← #25979410

Subgroups — #25979410

Order 11008.

1770 conjugacy classes of subgroups.

The subgroup lattice has 1662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148590C211yesmaximal, characteristic, complemented
2#19148580C211yesmaximal, characteristic, complemented
3#19147675C211yesmaximal, characteristic, complemented
4#19147563C211yesmaximal, characteristic, complemented
5#19147281C211yesmaximal, characteristic, complemented
6#19147278C211yesmaximal, characteristic, complemented
7#19147166C211yesmaximal, characteristic, complemented
8#19147085C211yesmaximal, characteristic, complemented
9#19147081C211yesmaximal, characteristic, complemented
10#19146502C211yesmaximal, characteristic, complemented
11#19146498C211yesmaximal, characteristic, complemented
12#19146483C211yesmaximal, characteristic, complemented
13#19146478C211yesmaximal, characteristic, complemented
14#19146473C211yesmaximal, characteristic, complemented
15#19146467C211yesmaximal, characteristic, complemented
16#19146246C211yesmaximal, characteristic, complemented
17#19146167C211yesmaximal, characteristic, complemented
18#19146159C211yesmaximal, characteristic, complemented
19#19145263C211yesmaximal, characteristic, complemented
20#19145259C211yesmaximal, characteristic, complemented
21#19145161C211yesmaximal, characteristic, complemented
22#19144895C211yesmaximal, characteristic, complemented
23#19144894C211yesmaximal, characteristic, complemented
24#19144857C211yesmaximal, characteristic, complemented
25#19144855C211yesmaximal, characteristic, complemented
26#19144770C211yesmaximal, characteristic, complemented
27#19144764C211yesmaximal, characteristic, complemented
28#19143566C211yesmaximal, characteristic, complemented
29#19143433C211yesmaximal, characteristic, complemented
30C4×Q16×D43C211yesmaximal, characteristic, complemented
31C43×#2947C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic
33C2×Q16×D43C2211yescharacteristic
34#14583628C2211yescharacteristic
35#14583625C2211yescharacteristic
36#14583621—21no—
37#14583621C2211yescharacteristic
38#14583619—21no—
39#14583619C2211yescharacteristic
40#14583609—21no—
41#14583609C2211yescharacteristic
42#14583604—21no—
43#14583604C2211yescharacteristic
44#14583599—21no—
45#14583599C2211yescharacteristic
46#14583593—21no—
47#14583593C2211yescharacteristic
48#14583588—21no—
49#14583588C2211yescharacteristic
50#14583584—21no—
51#14583584C2211yescharacteristic
52Q8×D172C2211yescharacteristic
53Q8×C22⋊D43C2211yescharacteristic
54#14583561C2211yescharacteristic
55#14583560C2211yescharacteristic
56#14583556C2211yescharacteristic
57#14583556C2211yescharacteristic
58#14583520—21no—
59#14583520C2211yescharacteristic
60#14583514—21no—
61#14583514C2211yescharacteristic
62#14583511—21no—
63#14583511C2211yescharacteristic
64#14583507—21no—
65#14583507C2211yescharacteristic
66#14583436—21no—
67#14583436C2211yescharacteristic
68#14583431—21no—
69#14583431C2211yescharacteristic
70#14583427—21no—
71#14583427—21no—
72#14583427C2211yescharacteristic
73#14583381C2211yescharacteristic
74#14583375C2211yescharacteristic
75C4×Q8×D43C2211yescharacteristic
76C4×Q8×D43C2211yescharacteristic
77#14583308C2211yescharacteristic
78#14583306C2211yescharacteristic
79#14583299C2211yescharacteristic
80#14583293C2211yescharacteristic
81#14583290C2211yescharacteristic
82#14583280C2211yescharacteristic
83#14583255C2211yescharacteristic
84#14583254C2211yescharacteristic
85#14583252C2211yescharacteristic
86#14583252C2211yescharacteristic
87#14583250C2211yescharacteristic
88#14583248C2211yescharacteristic
89#14583243C2211yescharacteristic
90#14583240C2211yescharacteristic
91#14583240C2211yescharacteristic
92#14583238C2211yescharacteristic
93#14583236C2211yescharacteristic
94#14583236C2211yescharacteristic
95#14583234C2211yescharacteristic
96#14583233C2211yescharacteristic
97#14583219C2211yescharacteristic
98#14583216C2211yescharacteristic
99#14583212C2211yescharacteristic
100#14583211C2211yescharacteristic
101#14583209C2211yescharacteristic
102#14583209C2211yescharacteristic
103#14583208C2211yescharacteristic
104#14583206C2211yescharacteristic
105#14583206C2211yescharacteristic
106#14583205C2211yescharacteristic
107#14583204C2211yescharacteristic
108#14583204C2211yescharacteristic
109#14583194C2211yescharacteristic
110#14583192C2211yescharacteristic
111#14583179C2211yescharacteristic
112#14583178C2211yescharacteristic
113#14583158C2211yescharacteristic
114#14583157C2211yescharacteristic
115#14583145C2211yescharacteristic
116#14583142C2211yescharacteristic
117#14583140C2211yescharacteristic
118#14583139C2211yescharacteristic
119#14583139C2211yescharacteristic
120#14583134C2211yescharacteristic
121#14583129C2211yescharacteristic
122#14583128C2211yescharacteristic
123#14583127C2211yescharacteristic
124#14583125C2211yescharacteristic
125#14583124C2211yescharacteristic
126#14583123C2211yescharacteristic
127#14583121C2211yescharacteristic
128#14583120C2211yescharacteristic
129#14583119C2211yescharacteristic
130#14583119C2211yescharacteristic
131#14583114C2211yescharacteristic
132#14583113C2211yescharacteristic
133#14583109C2211yescharacteristic
134#14583109C2211yescharacteristic
135#14583108C2211yescharacteristic
136#14583107C2211yescharacteristic
137#14583064C2211yescharacteristic
138#14583061C2211yescharacteristic
139#14583056C2211yescharacteristic
140#14583056C2211yescharacteristic
141#14583055C2211yescharacteristic
142#14583055C2211yescharacteristic
143#14583053C2211yescharacteristic
144#14583053C2211yescharacteristic
145#14583044C2211yescharacteristic
146#14583043C2211yescharacteristic
147#14583039C2211yescharacteristic
148#14583036C2211yescharacteristic
149#14583027C2211yescharacteristic
150C8×Dic86C2211yescharacteristic
151#14583007C2211yescharacteristic
152#14583006C2211yescharacteristic
153#14583004C2211yescharacteristic
154#14583004C2211yescharacteristic
155#14583001C2211yescharacteristic
156#14582999C2211yescharacteristic
157#14582998C2211yescharacteristic
158#14582997C2211yescharacteristic
159C4×Dic172C2211yescharacteristic
160Q16×Dic43C2211yescharacteristic
161#14582993C2211yescharacteristic
162C4×#10621885C2211yescharacteristic
163C4×#10621885C2211yescharacteristic
164C4×#10621885C2211yescharacteristic
165#14582991C2211yescharacteristic
166#14582991C2211yescharacteristic
167#14582991C2211yescharacteristic
168C4×#10621873C2211yescharacteristic
169#14582984C2211yescharacteristic
170C4×#10621882C2211yescharacteristic
171#14582975C2211yescharacteristic
172#14582972C2211yescharacteristic
173#14582968C2211yescharacteristic
174C8×D172C2211yescharacteristic
175C8×C22⋊D43C2211yescharacteristic
176C8×C22⋊D43C2211yescharacteristic
177#14582961C2211yescharacteristic
178#14582960C2211yescharacteristic
179#14582954C2211yescharacteristic
180#14582940C2211yescharacteristic
181#107×D43C2211yescharacteristic
182#14582894C2211yescharacteristic
183#103×D43C2211yescharacteristic
184#103×D43C2211yescharacteristic
185#103×D43C2211yescharacteristic
186#14582853C2211yescharacteristic
187C4×C8×D43C2211yescharacteristic
188C2×#137×C43C2211yescharacteristic
189C43×#520C2211yescharacteristic
190C43×#519C2211yescharacteristic
191C43×#441C2211yescharacteristic
192C43×#441C2211yescharacteristic
193C43×#440C2211yescharacteristic
194C43×#440C2211yescharacteristic
195C4×Q16×C43C2211yescharacteristic
196C4×Q16×C43C2211yescharacteristic
197C4×SD16×C43C2211yescharacteristic
198C4×SD16×C43C2211yescharacteristic
199C43×#428C2211yescharacteristic
200C43×#416C2211yescharacteristic
201C2×#103×C43C2211yescharacteristic
202C43×#405C2211yescharacteristic
203C2×#10621902C2311yescharacteristic
204C2×Q8×D43C2311yescharacteristic
205C2×Q8×D43C2311yescharacteristic
206C2×Q8×D43C2311yescharacteristic
207#13063357—24no—
208C2×Dic172C2311yescharacteristic
209C2×Dic172C2311yescharacteristic
210C2×#10621885C2311yescharacteristic
211C2×#10621885C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215Q16×D43—24no—
216C2×#10621873C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621882C2311yescharacteristic
221C2×#10621872C2311yescharacteristic
222C2×C8×D43C2311yescharacteristic
223C2×C8×D43C2311yescharacteristic
224C2×C8×D43C2311yescharacteristic
225#13063325—21no—
226#13063325—21no—
227#13063325C2311yescharacteristic
228#13063325C2311yescharacteristic
229#13063324—21no—
230#13063324C2311yescharacteristic
231#13063323—21no—
232#13063323C2311yescharacteristic
233#13063320—21no—
234#13063320—21no—
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063320D411yescharacteristic
239#13063319—21no—
240#13063319—21no—
241#13063319—21no—
242#13063318—21no—
243#13063318—21no—
244#13063318—21no—
245#13063318—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318—21no—
250#13063318D411yescharacteristic
251#13063317—21no—
252#13063317—21no—
253#13063317—21no—
254#13063317—21no—
255#13063317C2311yescharacteristic
256#13063316—21no—
257#13063316—21no—
258#13063316—21no—
259#13063316C2311yescharacteristic
260#13063316C2311yescharacteristic
261#13063316C2311yescharacteristic
262#13063315—21no—
263#13063315—21no—
264#13063315—21no—
265#13063315—21no—
266#13063315—21no—
267#13063315D411yescharacteristic
268#13063314—21no—
269#13063314C2311yescharacteristic
270#13063313—21no—
271#13063313C2311yescharacteristic
272#13063312—21no—
273#13063312—21no—
274#13063312C2311yescharacteristic
275#13063312C2311yescharacteristic
276#13063311—21no—
277#13063311—21no—
278#13063311D411yescharacteristic
279#13063310—21no—
280#13063310D411yescharacteristic
281#13063308—21no—
282#13063308—21no—
283#13063308—21no—
284#13063307—21no—
285#13063307—21no—
286#13063307—21no—
287#13063307—21no—
288#13063307D411yescharacteristic
289#13063305—21no—
290#13063305—21no—
291#13063305—21no—
292#13063305C2311yescharacteristic
293#13063305C2311yescharacteristic
294#13063305C2311yescharacteristic
295#13063304—21no—
296#13063304—21no—
297#13063304—21no—
298#13063304—21no—
299#13063304—21no—
300#13063304—21no—
301#13063304C2311yescharacteristic
302#13063304C2311yescharacteristic
303#13063304C2311yescharacteristic
304#13063303—21no—
305#13063303—21no—
306#13063303—21no—
307#13063303—21no—
308#13063303—21no—
309#13063303D411yescharacteristic
310#13063301—21no—
311#13063301—21no—
312#13063301C2311yescharacteristic
313#13063301C2311yescharacteristic
314#13063300—21no—
315#13063300C2311yescharacteristic
316#13063299—21no—
317#13063299C2311yescharacteristic
318#13063298—21no—
319#13063298—21no—
320#13063298D411yescharacteristic
321#13063296—21no—
322#13063296—21no—
323#13063296C2311yescharacteristic
324#13063296C2311yescharacteristic
325Q8×Dic43C2311yescharacteristic
326Q8×Dic43C2311yescharacteristic
327Q8×Dic43C2311yescharacteristic
328Q8×Dic43C2311yescharacteristic
329C4×Dic86—21no—
330C4×Dic86—21no—
331C4×Dic86—21no—
332C4×Dic86—21no—
333C4×Dic86—21no—
334C4×Dic86C2311yescharacteristic
335C4×Dic86C2311yescharacteristic
336C4×Dic86C2311yescharacteristic
337C4×Dic86C2311yescharacteristic
338#13063290—21no—
339#13063290—21no—
340#13063290—21no—
341#13063290C2311yescharacteristic
342#13063290C2311yescharacteristic
343#13063290C2311yescharacteristic
344C4×D172—21no—
345C4×D172—21no—
346C4×D172—21no—
347C4×D172—21no—
348C4×D172—21no—
349C4×D172—21no—
350C4×D172C2311yescharacteristic
351C4×D172C2311yescharacteristic
352#13063287—21no—
353#13063287C2311yescharacteristic
354C4×C22⋊D43—21no—
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
357C4×C22⋊D43—21no—
358C4×C22⋊D43—21no—
359C4×C22⋊D43—21no—
360C4×C22⋊D43—21no—
361C4×C22⋊D43C2311yescharacteristic
362C4×C22⋊D43C2311yescharacteristic
363#13063284—21no—
364#13063284—21no—
365#13063284—21no—
366#13063283—21no—
367#13063283C2311yescharacteristic
368#13063282—21no—
369#13063282—21no—
370#13063282—21no—
371#13063282—21no—
372#13063282—21no—
373#13063282C2311yescharacteristic
374C4⋊C4×D43—21no—
375C4⋊C4×D43—21no—
376C4⋊C4×D43—21no—
377C4⋊C4×D43C2311yescharacteristic
378C4⋊C4×D43C2311yescharacteristic
379C4⋊C4×D43C2311yescharacteristic
380C42×D43—21no—
381C42×D43—21no—
382C42×D43C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063257C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395C4⋊(C43⋊C8)C2311yescharacteristic
396C4⋊(C43⋊C8)C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
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#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425C22⋊(C43⋊C8)C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431#13063236C2311yescharacteristic
432#13063235C2311yescharacteristic
433C4×C43⋊C8C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C2×#41×C43C2311yescharacteristic
438C22×Q8×C43C2311yescharacteristic
439#137×C43—24no—
440C2×Q16×C43C2311yescharacteristic
441C2×Q16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C2×M16×C43C2311yescharacteristic
445C22×C8×C43C2311yescharacteristic
446C4×Q8×C43—21no—
447C4×Q8×C43—21no—
448C4×Q8×C43C2311yescharacteristic
449C4×Q8×C43C2311yescharacteristic
450C4×Q8×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×D4×C43—21no—
455C4×D4×C43—21no—
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458#117×C43—21no—
459#117×C43—21no—
460#117×C43—21no—
461#117×C43C2311yescharacteristic
462#117×C43C2311yescharacteristic
463C2×C4⋊C4×C43—21no—
464C2×C4⋊C4×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#97×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479C4×C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481#41×C43—22no—
482#41×C43—41no—
483C2×Q8×C43—21no—
484C2×Q8×C43—22no—
485C2×Q8×C43—41no—
486C2×Q8×C43C2411yescharacteristic
487C2×Q8×C43C2411yescharacteristic
488C2×Q8×C43C2411yescharacteristic
489C2×D4×C43—21no—
490C2×D4×C43C2411yescharacteristic
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C22×C4×C43—21no—
496C22×C4×C43C2411yescharacteristic
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43C2×D411yescharacteristic
501C2×C22⋊D43C2×D411yescharacteristic
502#10621902—22no—
503#10621902—41no—
504Q8×D43—22no—
505Q8×D43—22no—
506Q8×D43—22no—
507Q8×D43—41no—
508Q8×D43—41no—
509Q8×D43—41no—
510C2×D172—21no—
511C2×D172—21no—
512C2×D172C2×D411yescharacteristic
513C2×D172C2411yescharacteristic
514C2×C4×D43—21no—
515C2×C4×D43—21no—
516C2×C4×D43—21no—
517C2×C4×D43—21no—
518C2×C4×D43—21no—
519C2×C4×D43—21no—
520C2×C4×D43—21no—
521C2×C4×D43—21no—
522C2×C4×D43—21no—
523C2×C4×D43C2×D411yescharacteristic
524C2×C4×D43C2×D411yescharacteristic
525C2×C4×D43C2411yescharacteristic
526C2×C4×D43C2411yescharacteristic
527C2×Dic86—21no—
528C2×Dic86—21no—
529C2×Dic86—21no—
530C2×Dic86—21no—
531C2×Dic86—21no—
532C2×Dic86C2×D411yescharacteristic
533C2×Dic86C2411yescharacteristic
534C2×Dic86C2411yescharacteristic
535C2×Dic86C2411yescharacteristic
536Q16×C43—22no—
537Q16×C43#4114yes—
538SD16×C43—22no—
539SD16×C43—22no—
540M16×C43—22no—
541C2×C8×C43—41no—
542C2×C8×C43C2411yescharacteristic
543C2×C8×C43C2411yescharacteristic
544C2×C8×C43C2411yescharacteristic
545C2×C8×C43C2411yescharacteristic
546C4⋊C4×C43—21no—
547C4⋊C4×C43—21no—
548C4⋊C4×C43—21no—
549C4⋊C4×C43—21no—
550C4⋊C4×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43C2×D411yescharacteristic
554C4⋊C4×C43C2×D411yescharacteristic
555C4⋊C4×C43C2411yescharacteristic
556C4⋊C4×C43C2411yescharacteristic
557C4⋊C4×C43C2411yescharacteristic
558C4⋊C4×C43C2411yescharacteristic
559C22⋊C4×C43—21no—
560C22⋊C4×C43—21no—
561C22⋊C4×C43—21no—
562C22⋊C4×C43C2×D411yescharacteristic
563C22⋊C4×C43C2×D411yescharacteristic
564C42×C43—21no—
565C42×C43—21no—
566C42×C43—21no—
567C42×C43—21no—
568C42×C43—21no—
569C42×C43—21no—
570C42×C43—21no—
571C42×C43C2411yescharacteristic
572C42×C43C2411yescharacteristic
573C22⋊Dic43—21no—
574C22⋊Dic43—21no—
575C22⋊Dic43—21no—
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43C2×D411yescharacteristic
583C22⋊Dic43C2×D411yescharacteristic
584#10621885—22no—
585#10621885—22no—
586#10621885—22no—
587#10621885—41no—
588#10621885—41no—
589#10621884—22no—
590#10621883—41no—
591#10621882—41no—
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)⋊C4C2×D411yescharacteristic
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
612C4⋊Dic43—21no—
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⋊Dic43C2×D411yescharacteristic
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⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
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×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43C2×D411yescharacteristic
671C4×Dic43C2×D411yescharacteristic
672C4×Dic43C2411yescharacteristic
673C4×Dic43C2411yescharacteristic
674C2×C43⋊C8C2411yescharacteristic
675C2×C43⋊C8C2411yescharacteristic
676C2×C43⋊C8C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678Dic172—22no—
679Dic172—41no—
680#10621873—22no—
681#10621873—41no—
682#10621872—22no—
683C8×D43—22no—
684C8×D43—41no—
685C8×D43—41no—
686C23×C43—21no—
687C23×C43C22×D411yescharacteristic
688C22×D43—21no—
689C22×D43C22×D411yescharacteristic
690C22×D43C22×D411yescharacteristic
691Q8×C43—21no—
692Q8×C43—21no—
693Q8×C43—21no—
694Q8×C43—21no—
695Q8×C43—42no—
696Q8×C43C2×#4112yes—
697Q8×C43C2×#4112yes—
698D4×C43—21no—
699D4×C43—21no—
700D4×C43—42no—
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—21no—
709C2×C4×C43—21no—
710C2×C4×C43—42no—
711C2×C4×C43—42no—
712C2×C4×C43—81no—
713C2×C4×C43—81no—
714C2×C4×C43—81no—
715C2×C4×C43C22×D411yescharacteristic
716C2×C4×C43C22×D411yescharacteristic
717C2×C4×C43C22×D411yescharacteristic
718C2×C4×C43C22×D411yescharacteristic
719C2×C4×C43C22×D411yescharacteristic
720C2×C4×C43C2511yescharacteristic
721C22⋊D43—22no—
722C22⋊D43—41no—
723C22⋊D43—42no—
724C22⋊D43—81no—
725C22⋊D43—81no—
726C2×Dic43—21no—
727C2×Dic43—21no—
728C2×Dic43—21no—
729C2×Dic43—21no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43C22×D411yescharacteristic
734C2×Dic43C22×D411yescharacteristic
735C2×Dic43C22×D411yescharacteristic
736C2×Dic43C22×D411yescharacteristic
737C2×Dic43C22×D411yescharacteristic
738C2×Dic43C22×D411yescharacteristic
739D172—22no—
740D172—21no—
741D172—21no—
742D172—42no—
743D172—42no—
744C4×D43—22no—
745C4×D43—21no—
746C4×D43—21no—
747C4×D43—21no—
748C4×D43—21no—
749C4×D43—41no—
750C4×D43—42no—
751C4×D43—42no—
752C4×D43—42no—
753C4×D43—42no—
754C4×D43—81no—
755C4×D43—81no—
756C4×D43—81no—
757C4×D43—81no—
758C4×D43—81no—
759Dic86—21no—
760Dic86—21no—
761Dic86—21no—
762Dic86—21no—
763Dic86—21no—
764Dic86—21no—
765Dic86—41no—
766Dic86—42no—
767Dic86—42no—
768Dic86—42no—
769Dic86—81no—
770Dic86—81no—
771C8×C43—21no—
772C8×C43—21no—
773C8×C43—21no—
774C8×C43C2×#4112yes—
775C43⋊C8—21no—
776C43⋊C8—21no—
777C43⋊C8—21no—
778C43⋊C8—21no—
779#61491—431nomaximal, Sylow
780C22×C43—21no—
781C22×C43—21no—
782C22×C43—21no—
783C22×C43—41no—
784C22×C43—41no—
785C22×C43—41no—
786C22×C43C23×D411yescharacteristic
787C2×D43—21no—
788C2×D43—21no—
789C2×D43—21no—
790C2×D43—21no—
791C2×D43—21no—
792C2×D43—41no—
793C2×D43—41no—
794C2×D43—41no—
795C2×D43#57812yes—
796C4×C43—21no—
797C4×C43—21no—
798C4×C43—22no—
799C4×C43—22no—
800C4×C43—21no—
801C4×C43—21no—
802C4×C43—21no—
803C4×C43—41no—
804C4×C43—41no—
805C4×C43—41no—
806C4×C43—41no—
807C4×C43—41no—
808C4×C43C22×#4111yescharacteristic
809C4×C43#58511yescharacteristic
810Dic43—21no—
811Dic43—21no—
812Dic43—21no—
813Dic43—21no—
814Dic43—21no—
815Dic43—21no—
816Dic43—41no—
817Dic43—41no—
818Dic43—41no—
819Dic43—41no—
820Dic43—41no—
821Dic43—41no—
822Dic43—41no—
823#3516—431no—
824#3516—431no—
825#3402—431no—
826#3390—431no—
827#3364—431no—
828#3364—431no—
829#3352—431no—
830#3346—431no—
831#3346—431no—
832#3301—431no—
833#3301—431no—
834#3300—431no—
835#3300—431no—
836#3299—431no—
837#3299—431no—
838#3277—431no—
839#3270—431no—
840#3270—431no—
841#3178—431no—
842#3178—431no—
843#3168—431no—
844#3127—431no—
845#3127—431no—
846#3124—431no—
847#3124—431no—
848#3117—431no—
849#3117—431no—
850#2966—431no—
851#2947—431no—
852#2947D4311yescharacteristic, complemented
853C2×C4×Q16—431no—
854C2×C43—41no—
855C2×C43—81no—
856C2×C43D4×#4111yescharacteristic
857C2×C43C2×#57811yescharacteristic
858C2×C43#358411yescharacteristic
859D43—22no—
860D43—41no—
861D43—81no—
862C2×#137—431no—
863C2×#137C2×D4311yescharacteristic
864C22×Q16—431no—
865#557—431no—
866#557—431no—
867#556—431no—
868#556—431no—
869#556—861no—
870#556—861no—
871#554—431no—
872#554—431no—
873#554—861no—
874#554—861no—
875#553—431no—
876#553—431no—
877#553—861no—
878#553—861no—
879#552—431no—
880#552—431no—
881#552—861no—
882#552—861no—
883D4×Q8—431no—
884D4×Q8—431no—
885#548—431no—
886#548—431no—
887#548—431no—
888#548—431no—
889#542—431no—
890#542—431no—
891#542—861no—
892#542—861no—
893#541—431no—
894#541—431no—
895#541—861no—
896#541—861no—
897#529—431no—
898#529—431no—
899#529—431no—
900#529—861no—
901#529—861no—
902#529—861no—
903#529—861no—
904#520—431no—
905#520C2×D4311yescharacteristic
906#519—431no—
907#519C2×D4311yescharacteristic
908C2×C4×Q8—431no—
909C2×C4×Q8—431no—
910#501—431no—
911#501—431no—
912#499—431no—
913#497—431no—
914#497—431no—
915#495—431no—
916#488—431no—
917#488—431no—
918#488—431no—
919#488—431no—
920#487—431no—
921#487—431no—
922#485—431no—
923#485—431no—
924#485—431no—
925#485—431no—
926#484—431no—
927#484—431no—
928#484—431no—
929#484—431no—
930#481—431no—
931#481—431no—
932#480—431no—
933#480—431no—
934#479—431no—
935#479—431no—
936#479—431no—
937#479—431no—
938#479—431no—
939#479—431no—
940#479—431no—
941#479—431no—
942#477—431no—
943#477—431no—
944#474—431no—
945#474—431no—
946#470—431no—
947#470—431no—
948#468—431no—
949#468—431no—
950#467—431no—
951#467—431no—
952#467—431no—
953#466—431no—
954#465—431no—
955#465—431no—
956#465—431no—
957#465—431no—
958#464—431no—
959#464—431no—
960#464—431no—
961#464—431no—
962#464—431no—
963#464—431no—
964#463—431no—
965#463—431no—
966#462—431no—
967#462—431no—
968#462—431no—
969#462—431no—
970#452—431no—
971#452—431no—
972#451—431no—
973#451—431no—
974#451—431no—
975#451—431no—
976#451—431no—
977#451—431no—
978#449—431no—
979#449—431no—
980#448—431no—
981#448—431no—
982#446—431no—
983C8×Q8—431no—
984#441—431no—
985#441—431no—
986#441—431no—
987#441—431no—
988#441C2×D4311yescharacteristic
989#441C2×D4311yescharacteristic
990#440—431no—
991#440—431no—
992#440—431no—
993#440—431no—
994#440C2×D4311yescharacteristic
995#440C2×D4311yescharacteristic
996C4×Q16—431no—
997C4×Q16—431no—
998C4×Q16—431no—
999C4×Q16—431no—
1000C4×Q16—431no—
1001C4×Q16—431no—
1002C4×Q16—431no—
1003C4×Q16—431no—
1004C4×Q16—431no—
1005C4×Q16C2×D4311yescharacteristic
1006C4×Q16C2×D4311yescharacteristic
1007C4×SD16—431no—
1008C4×SD16—431no—
1009C4×SD16C2×D4311yescharacteristic
1010C4×SD16C2×D4311yescharacteristic
1011C4×D8—431no—
1012#436—431no—
1013#435—431no—
1014#435—431no—
1015C8×D4—431no—
1016C8×D4—431no—
1017C8×D4—431no—
1018#433—431no—
1019#433—431no—
1020#432—431no—
1021#428—431no—
1022#428C2×D4311yescharacteristic
1023C2×#107—431no—
1024#416—431no—
1025#416C2×D4311yescharacteristic
1026C2×#103—431no—
1027C2×#103—431no—
1028C2×#103—431no—
1029C2×#103C2×D4311yescharacteristic
1030#405—431no—
1031#405C2×D4311yescharacteristic
1032C2×C4×C8—431no—
1033C43#6149111yescharacteristic, complemented, Sylow
1034C2×#41—431no—
1035C2×#41C22×D4311yescharacteristic
1036C22×Q8—431no—
1037C22×Q8—431no—
1038C22×Q8—431no—
1039C22×Q8C22×D4311yescharacteristic
1040#137—24no—
1041#137—864no—
1042C2×Q16—431no—
1043C2×Q16—431no—
1044C2×Q16—431no—
1045C2×Q16—431no—
1046C2×Q16—431no—
1047C2×Q16—431no—
1048C2×Q16—431no—
1049C2×Q16—864no—
1050C2×Q16C22×D4311yescharacteristic
1051C2×Q16C22×D4311yescharacteristic
1052C2×SD16—431no—
1053C2×SD16—431no—
1054C2×SD16—431no—
1055C2×SD16—431no—
1056C2×SD16C22×D4311yescharacteristic
1057C2×SD16C22×D4311yescharacteristic
1058C2×D8—431no—
1059C2×M16—431no—
1060C2×M16C22×D4311yescharacteristic
1061C22×C8—431no—
1062C22×C8—431no—
1063C22×C8—431no—
1064C22×C8C22×D4311yescharacteristic
1065C4⋊Q8—431no—
1066C4⋊Q8—431no—
1067C4⋊Q8—431no—
1068C4⋊Q8—431no—
1069C4⋊Q8—861no—
1070C4⋊Q8—861no—
1071C4⋊Q8—861no—
1072C4⋊Q8—861no—
1073#126—431no—
1074#126—431no—
1075#126—861no—
1076#126—861no—
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#126—861no—
1089#126—861no—
1090#126—861no—
1091#125—431no—
1092#125—431no—
1093#125—431no—
1094#125—431no—
1095#125—431no—
1096#125—861no—
1097#125—861no—
1098#125—861no—
1099#125—861no—
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#124—431no—
1109#124—431no—
1110#124—431no—
1111#124—431no—
1112#124—431no—
1113#124—861no—
1114#124—861no—
1115#124—861no—
1116#124—861no—
1117#124—861no—
1118#124—861no—
1119#123—431no—
1120#123—431no—
1121#123—861no—
1122#123—861no—
1123#123—861no—
1124#123—861no—
1125#123—861no—
1126#123—861no—
1127#123—861no—
1128#123—861no—
1129C22⋊Q8—431no—
1130C22⋊Q8—431no—
1131C22⋊Q8—431no—
1132C22⋊Q8—431no—
1133C22⋊Q8—431no—
1134C22⋊Q8—431no—
1135C22⋊Q8—431no—
1136C22⋊Q8—431no—
1137C22⋊Q8—431no—
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⋊Q8—861no—
1151C22⋊Q8—861no—
1152C22⋊Q8—861no—
1153C22⋊Q8—861no—
1154#121—431no—
1155#121—431no—
1156#121—431no—
1157#121—431no—
1158#121—431no—
1159#121—861no—
1160#121—861no—
1161#121—861no—
1162#121—861no—
1163#121—861no—
1164#121—861no—
1165C4×Q8—21no—
1166C4×Q8—21no—
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—431no—
1177C4×Q8—431no—
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×Q8C22×D4311yescharacteristic
1187C4×Q8C22×D4311yescharacteristic
1188C4×Q8C22×D4311yescharacteristic
1189C4×Q8C22×D4311yescharacteristic
1190C4×Q8C22×D4311yescharacteristic
1191C4×Q8C22×D4311yescharacteristic
1192C4×D4—21no—
1193C4×D4—21no—
1194C4×D4—431no—
1195C4×D4—431no—
1196C4×D4—431no—
1197C4×D4—431no—
1198C4×D4—431no—
1199C4×D4—861no—
1200C4×D4—861no—
1201C4×D4—861no—
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×D4C22×D4311yescharacteristic
1214C4×D4C22×D4311yescharacteristic
1215#117—21no—
1216#117—21no—
1217#117—21no—
1218#117—431no—
1219#117—431no—
1220#117—861no—
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#117C22×D4311yescharacteristic
1230#117C22×D4311yescharacteristic
1231C2×C4⋊C4—21no—
1232C2×C4⋊C4—431no—
1233C2×C4⋊C4—431no—
1234C2×C4⋊C4—431no—
1235C2×C4⋊C4—861no—
1236C2×C4⋊C4—861no—
1237C2×C4⋊C4—861no—
1238C2×C4⋊C4C22×D4311yescharacteristic
1239C2×C42—431no—
1240C2×C42—861no—
1241C2×C42—861no—
1242#107—431no—
1243#107—431no—
1244#107—431no—
1245#107—431no—
1246#107—431no—
1247#107—431no—
1248#107—431no—
1249#107—431no—
1250#107C22×D4311yescharacteristic
1251#107C22×D4311yescharacteristic
1252#106—431no—
1253#106—431no—
1254#106—431no—
1255#106—431no—
1256#106C22×D4311yescharacteristic
1257#106C22×D4311yescharacteristic
1258C4⋊C8—431no—
1259C4⋊C8—431no—
1260C4⋊C8—431no—
1261C4⋊C8—431no—
1262C4⋊C8—431no—
1263C4⋊C8—431no—
1264#103—431no—
1265#103—431no—
1266#103—431no—
1267#103—431no—
1268#103—431no—
1269#103—431no—
1270#103—431no—
1271#103—431no—
1272#103—431no—
1273#103—431no—
1274#103—431no—
1275#103—431no—
1276#103—431no—
1277#103—431no—
1278#103—431no—
1279#103—431no—
1280#103—431no—
1281#103—431no—
1282#103C22×D4311yescharacteristic
1283#103C22×D4311yescharacteristic
1284#103C22×D4311yescharacteristic
1285#103C22×D4311yescharacteristic
1286#103C22×D4311yescharacteristic
1287#103C22×D4311yescharacteristic
1288#102—431no—
1289#102—431no—
1290#102—431no—
1291#102—431no—
1292#102—431no—
1293#102—431no—
1294#102C22×D4311yescharacteristic
1295#102C22×D4311yescharacteristic
1296C22⋊C8—431no—
1297C22⋊C8—431no—
1298C22⋊C8—431no—
1299C22⋊C8—431no—
1300C22⋊C8—431no—
1301C22⋊C8—431no—
1302#97—431no—
1303#97—431no—
1304#97C22×D4311yescharacteristic
1305#97C22×D4311yescharacteristic
1306C4×C8—431no—
1307C4×C8—431no—
1308C4×C8—431no—
1309C4×C8—431no—
1310C4×C8C22×D4311yescharacteristic
1311C4×C8C22×D4311yescharacteristic
1312#41—22no—
1313#41—41no—
1314#41—862no—
1315#41—1721no—
1316C2×Q8—21no—
1317C2×Q8—22no—
1318C2×Q8—41no—
1319C2×Q8—431no—
1320C2×Q8—431no—
1321C2×Q8—431no—
1322C2×Q8—431no—
1323C2×Q8—861no—
1324C2×Q8—861no—
1325C2×Q8—861no—
1326C2×Q8—861no—
1327C2×Q8—861no—
1328C2×Q8—862no—
1329C2×Q8—862no—
1330C2×Q8—862no—
1331C2×Q8—1721no—
1332C2×Q8—1721no—
1333C2×Q8—1721no—
1334C2×Q8C23×D4311yescharacteristic
1335C2×Q8C23×D4311yescharacteristic
1336C2×Q8C23×D4311yescharacteristic
1337C2×D4—21no—
1338C2×D4—431no—
1339C2×D4—431no—
1340C2×D4—431no—
1341C2×D4—431no—
1342C2×D4—861no—
1343C2×D4—861no—
1344C2×D4—861no—
1345C2×D4—861no—
1346C2×D4—861no—
1347C2×D4C23×D4311yescharacteristic
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—431no—
1354C22×C4—431no—
1355C22×C4—431no—
1356C22×C4—431no—
1357C22×C4—861no—
1358C22×C4—861no—
1359C22×C4—861no—
1360C22×C4—861no—
1361C22×C4—861no—
1362C22×C4—861no—
1363C22×C4—861no—
1364C22×C4—861no—
1365C22×C4—861no—
1366C22×C4C23×D4311yescharacteristic
1367Q16—22no—
1368Q16—862no—
1369Q16—862no—
1370Q16—862no—
1371Q16—862no—
1372Q16—1721no—
1373Q16—1721no—
1374Q16—1721no—
1375Q16#1062189814yes—
1376SD16—22no—
1377SD16—22no—
1378SD16—862no—
1379SD16—862no—
1380SD16—1721no—
1381SD16—1721no—
1382D8—1721no—
1383M16—22no—
1384M16—862no—
1385C2×C8—41no—
1386C2×C8—431no—
1387C2×C8—431no—
1388C2×C8—431no—
1389C2×C8—431no—
1390C2×C8—862no—
1391C2×C8—1721no—
1392C2×C8—1721no—
1393C2×C8C23×D4311yescharacteristic
1394C2×C8C23×D4311yescharacteristic
1395C2×C8C23×D4311yescharacteristic
1396C2×C8C23×D4311yescharacteristic
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—431no—
1405C4⋊C4—431no—
1406C4⋊C4—431no—
1407C4⋊C4—431no—
1408C4⋊C4—431no—
1409C4⋊C4—431no—
1410C4⋊C4—431no—
1411C4⋊C4—431no—
1412C4⋊C4—431no—
1413C4⋊C4—431no—
1414C4⋊C4—431no—
1415C4⋊C4—431no—
1416C4⋊C4—861no—
1417C4⋊C4—861no—
1418C4⋊C4—861no—
1419C4⋊C4—861no—
1420C4⋊C4—861no—
1421C4⋊C4—861no—
1422C4⋊C4—861no—
1423C4⋊C4—861no—
1424C4⋊C4—861no—
1425C4⋊C4—861no—
1426C4⋊C4—861no—
1427C4⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1452C4⋊C4D4×D4311yescharacteristic
1453C4⋊C4C23×D4311yescharacteristic
1454C4⋊C4C23×D4311yescharacteristic
1455C4⋊C4C23×D4311yescharacteristic
1456C4⋊C4C23×D4311yescharacteristic
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—431no—
1461C22⋊C4—431no—
1462C22⋊C4—431no—
1463C22⋊C4—431no—
1464C22⋊C4—431no—
1465C22⋊C4—431no—
1466C22⋊C4—431no—
1467C22⋊C4—431no—
1468C22⋊C4—861no—
1469C22⋊C4—861no—
1470C22⋊C4—861no—
1471C22⋊C4—861no—
1472C22⋊C4—861no—
1473C22⋊C4—861no—
1474C22⋊C4—861no—
1475C22⋊C4—861no—
1476C22⋊C4—861no—
1477C22⋊C4—861no—
1478C22⋊C4—861no—
1479C22⋊C4—861no—
1480C22⋊C4—861no—
1481C22⋊C4—861no—
1482C22⋊C4—861no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4D4×D4311yescharacteristic
1492C22⋊C4D4×D4311yescharacteristic
1493C42—21no—
1494C42—21no—
1495C42—21no—
1496C42—21no—
1497C42—21no—
1498C42—21no—
1499C42—21no—
1500C42—431no—
1501C42—431no—
1502C42—431no—
1503C42—431no—
1504C42—861no—
1505C42—861no—
1506C42—861no—
1507C42—861no—
1508C42—861no—
1509C42—861no—
1510C42—861no—
1511C42—861no—
1512C42—861no—
1513C42—861no—
1514C42—861no—
1515C42C23×D4311yescharacteristic
1516C42C23×D4311yescharacteristic
1517C23—21no—
1518C23—431no—
1519C23—431no—
1520C23—861no—
1521C23C2×D4×D4311yescharacteristic
1522Q8—21no—
1523Q8—21no—
1524Q8—21no—
1525Q8—21no—
1526Q8—42no—
1527Q8—861no—
1528Q8—861no—
1529Q8—861no—
1530Q8—861no—
1531Q8—861no—
1532Q8—861no—
1533Q8—3441no—
1534Q8—3441no—
1535Q8—1721no—
1536Q8—1722no—
1537Q8—1722no—
1538Q8—1722no—
1539Q8C2×#1062189812yes—
1540Q8C2×#1062189812yes—
1541D4—21no—
1542D4—21no—
1543D4—42no—
1544D4—862no—
1545D4—862no—
1546D4—861no—
1547D4—861no—
1548D4—3441no—
1549D4—3441no—
1550D4—1722no—
1551D4—1722no—
1552D4—1721no—
1553D4—1722no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—42no—
1564C2×C4—42no—
1565C2×C4—81no—
1566C2×C4—81no—
1567C2×C4—81no—
1568C2×C4—431no—
1569C2×C4—431no—
1570C2×C4—431no—
1571C2×C4—431no—
1572C2×C4—431no—
1573C2×C4—431no—
1574C2×C4—862no—
1575C2×C4—861no—
1576C2×C4—861no—
1577C2×C4—861no—
1578C2×C4—861no—
1579C2×C4—861no—
1580C2×C4—861no—
1581C2×C4—861no—
1582C2×C4—861no—
1583C2×C4—861no—
1584C2×C4—861no—
1585C2×C4—861no—
1586C2×C4—3441no—
1587C2×C4—3441no—
1588C2×C4—3441no—
1589C2×C4—3441no—
1590C2×C4—3441no—
1591C2×C4—1721no—
1592C2×C4—1722no—
1593C2×C4—1722no—
1594C2×C4—1722no—
1595C2×C4—1722no—
1596C2×C4C2×D4×D4311yescharacteristic
1597C2×C4C2×D4×D4311yescharacteristic
1598C2×C4C2×D4×D4311yescharacteristic
1599C2×C4C2×D4×D4311yescharacteristic
1600C2×C4C2×D4×D4311yescharacteristic
1601C2×C4C24×D4311yescharacteristic
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—861no—
1606C8—861no—
1607C8—861no—
1608C8—861no—
1609C8C2×#1062189812yes—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—432no—
1617C22—861no—
1618C22—861no—
1619C22—861no—
1620C22—861no—
1621C22—861no—
1622C22—1721no—
1623C22—1721no—
1624C22—1721no—
1625C22C22×D4×D4311yescharacteristic
1626C4—21no—
1627C4—21no—
1628C4—21no—
1629C4—22no—
1630C4—22no—
1631C4—21no—
1632C4—21no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—861no—
1639C4—861no—
1640C4—861no—
1641C4—861no—
1642C4—861no—
1643C4—861no—
1644C4—1721no—
1645C4—1721no—
1646C4—1721no—
1647C4—1721no—
1648C4—1721no—
1649C4—1721no—
1650C4—1721no—
1651C4C22×#1062189811yescharacteristic
1652C4#1458373511yescharacteristic
1653C2—41no—
1654C2—81no—
1655C2—862no—
1656C2—3441no—
1657C2—1721no—
1658C2D4×#1062189811yescharacteristic
1659C2#578×D4311yescharacteristic
1660C2#1914936711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#2947C2
socleC22×C43C23×D4
hypercenter#2947D43
hypocenterC43#61491
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #2947

Complements

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

NH ≅ G/Ntype
1. #19148590C2semidirect
2. #19148580C2semidirect
3. #19147675C2semidirect
4. #19147563C2semidirect
5. #19147281C2semidirect
6. #19147278C2semidirect
7. #19147166C2semidirect
8. #19147085C2semidirect
9. #19147081C2semidirect
10. #19146502C2semidirect
11. #19146498C2semidirect
12. #19146483C2semidirect
13. #19146478C2semidirect
14. #19146473C2semidirect
15. #19146467C2semidirect
16. #19146246C2semidirect
17. #19146167C2semidirect
18. #19146159C2semidirect
19. #19145263C2semidirect
20. #19145259C2semidirect
21. #19145161C2semidirect
22. #19144895C2semidirect
23. #19144894C2semidirect
24. #19144857C2semidirect
25. #19144855C2semidirect
26. #19144770C2semidirect
27. #19144764C2semidirect
28. #19143566C2semidirect
29. #19143433C2semidirect
30. C4×Q16×D43C2semidirect
31. C43×#2947C2semidirect
852. #2947D43semidirect
1033. C43#61491semidirect

Maximal subgroups

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

subgroupindex
#191485902
#191485802
#191476752
#191475632
#191472812
#191472782
#191471662
#191470852
#191470812
#191465022
#191464982
#191464832
#191464782
#191464732
#191464672
#191462462
#191461672
#191461592
#191452632
#191452592
#191451612
#191448952
#191448942
#191448572
#191448552
#191447702
#191447642
#191435662
#191434332
C4×Q16×D432
C43×#29472
#6149143