Finite Group Databasebeta

← #25983180

Subgroups — #25983180

Order 11008.

2032 conjugacy classes of subgroups.

The subgroup lattice has 1850 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148880C211yesmaximal, characteristic, complemented
2#19148275C211yesmaximal, characteristic, complemented
3#19146904C211yesmaximal, characteristic, complemented
4#19146874C211yesmaximal, characteristic, complemented
5#19146841C211yesmaximal, characteristic, complemented
6#19146807C211yesmaximal, characteristic, complemented
7#19146699C211yesmaximal, characteristic, complemented
8#19146647C211yesmaximal, characteristic, complemented
9#19146632C211yesmaximal, characteristic, complemented
10#19146564C211yesmaximal, characteristic, complemented
11#19146245C211yesmaximal, characteristic, complemented
12#19146239C211yesmaximal, characteristic, complemented
13#19146235C211yesmaximal, characteristic, complemented
14#19146226C211yesmaximal, characteristic, complemented
15#19146163C211yesmaximal, characteristic, complemented
16#19146159C211yesmaximal, characteristic, complemented
17#19146148C211yesmaximal, characteristic, complemented
18#19146114C211yesmaximal, characteristic, complemented
19#19145700C211yesmaximal, characteristic, complemented
20#19145676C211yesmaximal, characteristic, complemented
21#19145504C211yesmaximal, characteristic, complemented
22#19145474C211yesmaximal, characteristic, complemented
23#19145421C211yesmaximal, characteristic, complemented
24#19145419C211yesmaximal, characteristic, complemented
25#19144873C211yesmaximal, characteristic, complemented
26#19144802C211yesmaximal, characteristic, complemented
27#19143908C211yesmaximal, characteristic, complemented
28#19143887C211yesmaximal, characteristic, complemented
29#19143855C211yesmaximal, characteristic, complemented
30#19143655C211yesmaximal, characteristic, complemented
31C43×#3005C211yesmaximal, characteristic, complemented
32C2×#13063372C2211yescharacteristic
33C2×#13063355C2211yescharacteristic
34C2×#13063355C2211yescharacteristic
35C2×#13063354C2211yescharacteristic, complemented
36C2×#13063354C2211yescharacteristic, complemented
37C2×#13063344C2211yescharacteristic, complemented
38C2×Q16×D43C2211yescharacteristic, complemented
39#14583652—21no—
40#14583646—21no—
41#14583617C2211yescharacteristic
42#14583608—21no—
43#14583607C2211yescharacteristic, complemented
44#14583601C2211yescharacteristic, complemented
45#14583598—21no—
46#14583588C2211yescharacteristic
47Q8×C22⋊D43C2211yescharacteristic
48Q8×C22⋊D43C2211yescharacteristic
49#14583562C2211yescharacteristic, complemented
50#14583556C2211yescharacteristic
51#14583556C2211yescharacteristic
52#14583556C2211yescharacteristic
53#14583555C2211yescharacteristic, complemented
54#14583548—21no—
55#14583548—21no—
56#14583548C2211yescharacteristic
57#14583548C2211yescharacteristic
58#14583548C2211yescharacteristic
59#14583543—21no—
60#14583543—21no—
61#14583543C2211yescharacteristic
62#14583543C2211yescharacteristic
63#14583516C2211yescharacteristic, complemented
64#14583514—21no—
65#14583509C2211yescharacteristic, complemented
66#14583491—21no—
67#14583484—21no—
68#14583484—21no—
69#14583478C2211yescharacteristic, complemented
70#14583477—21no—
71#14583477C2211yescharacteristic
72#14583472C2211yescharacteristic, complemented
73#14583470—21no—
74#14583470C2211yescharacteristic
75#14583410—21no—
76#14583410C2211yescharacteristic
77C2×#13063304—21no—
78C2×#13063304C2211yescharacteristic
79C2×#13063304C2211yescharacteristic
80#14583382C2211yescharacteristic
81#14583290C2211yescharacteristic, complemented
82#14583290C2211yescharacteristic, complemented
83#14583282C2211yescharacteristic, complemented
84#14583277C2211yescharacteristic, complemented
85#14583266C2211yescharacteristic, complemented
86#14583257C2211yescharacteristic, complemented
87#14583252C2211yescharacteristic, complemented
88#14583248C2211yescharacteristic, complemented
89#14583240C2211yescharacteristic
90#14583240C2211yescharacteristic
91#14583238C2211yescharacteristic, complemented
92#14583232C2211yescharacteristic, complemented
93#14583230C2211yescharacteristic, complemented
94#14583230C2211yescharacteristic, complemented
95#14583230C2211yescharacteristic, complemented
96#14583230C2211yescharacteristic, complemented
97#14583228C2211yescharacteristic, complemented
98#14583222C2211yescharacteristic, complemented
99#14583216C2211yescharacteristic, complemented
100#14583215C2211yescharacteristic, complemented
101#14583204C2211yescharacteristic, complemented
102#14583201C2211yescharacteristic, complemented
103#14583187C2211yescharacteristic, complemented
104#14583182C2211yescharacteristic, complemented
105#14583157C2211yescharacteristic
106#14583157C2211yescharacteristic
107#14583157C2211yescharacteristic
108#14583157C2211yescharacteristic
109#14583156C2211yescharacteristic, complemented
110#14583155C2211yescharacteristic, complemented
111#14583155C2211yescharacteristic, complemented
112#14583154C2211yescharacteristic, complemented
113#14583149C2211yescharacteristic, complemented
114#14583144C2211yescharacteristic, complemented
115#14583143C2211yescharacteristic, complemented
116#14583143C2211yescharacteristic, complemented
117#14583139C2211yescharacteristic, complemented
118#14583127C2211yescharacteristic, complemented
119#14583125C2211yescharacteristic, complemented
120#14583125C2211yescharacteristic, complemented
121#14583120C2211yescharacteristic, complemented
122#14583120C2211yescharacteristic, complemented
123#14583119C2211yescharacteristic, complemented
124#14583119C2211yescharacteristic, complemented
125#14583112C2211yescharacteristic, complemented
126#14583112C2211yescharacteristic, complemented
127#14583108C2211yescharacteristic, complemented
128#14583108C2211yescharacteristic, complemented
129#14583107C2211yescharacteristic, complemented
130#14583107C2211yescharacteristic, complemented
131#14583102C2211yescharacteristic, complemented
132#14583102C2211yescharacteristic, complemented
133#14583062C2211yescharacteristic, complemented
134#14583062C2211yescharacteristic, complemented
135#14583061C2211yescharacteristic
136#14583061C2211yescharacteristic
137#14583061C2211yescharacteristic
138#14583061C2211yescharacteristic
139#14583061C2211yescharacteristic
140#14583061C2211yescharacteristic
141#14583058C2211yescharacteristic, complemented
142#14583058C2211yescharacteristic, complemented
143#14583057C2211yescharacteristic, complemented
144#14583057C2211yescharacteristic, complemented
145#14583057C2211yescharacteristic, complemented
146#14583057C2211yescharacteristic, complemented
147#14583056C2211yescharacteristic, complemented
148#14583056C2211yescharacteristic, complemented
149#14583055C2211yescharacteristic
150#14583055C2211yescharacteristic
151#14583054C2211yescharacteristic, complemented
152#14583053C2211yescharacteristic, complemented
153#14583053C2211yescharacteristic, complemented
154#14583050C2211yescharacteristic
155#14583050C2211yescharacteristic
156#14583041C2211yescharacteristic, complemented
157#14583041C2211yescharacteristic, complemented
158#14583037C2211yescharacteristic, complemented
159#14583036C2211yescharacteristic, complemented
160#14583036C2211yescharacteristic, complemented
161#14583011C2211yescharacteristic, complemented
162#14583006C2211yescharacteristic, complemented
163#14583003C2211yescharacteristic, complemented
164#14582996C2211yescharacteristic, complemented
165#14582991C2211yescharacteristic, complemented
166#14582990C2211yescharacteristic, complemented
167SD16×Dic43C2211yescharacteristic, complemented
168SD16×Dic43C2211yescharacteristic, complemented
169#14582975C2211yescharacteristic
170#14582975C2211yescharacteristic
171#14582974C2211yescharacteristic, complemented
172#14582974C2211yescharacteristic, complemented
173#14582973C2211yescharacteristic, complemented
174#14582973C2211yescharacteristic, complemented
175#14582968C2211yescharacteristic
176#14582968C2211yescharacteristic
177#14582957C2211yescharacteristic, complemented
178#14582957C2211yescharacteristic, complemented
179#14582906C2211yescharacteristic, complemented
180#14582900C2211yescharacteristic
181#14582900C2211yescharacteristic
182#14582897C2211yescharacteristic, complemented
183#14582892C2211yescharacteristic, complemented
184#103×D43C2211yescharacteristic, complemented
185#14582864C2211yescharacteristic, complemented
186#14582864C2211yescharacteristic, complemented
187#14582863C2211yescharacteristic
188C22×#41×C43C2211yescharacteristic
189C2×#137×C43C2211yescharacteristic
190C2×AGL(1,ℤ/8)×C43C2211yescharacteristic
191C43×#525C2211yescharacteristic
192C43×#452C2211yescharacteristic
193C43×#452C2211yescharacteristic
194C43×#452C2211yescharacteristic
195C43×#452C2211yescharacteristic
196C43×#449C2211yescharacteristic
197C43×#449C2211yescharacteristic
198C43×#449C2211yescharacteristic
199C43×#449C2211yescharacteristic
200C43×#419C2211yescharacteristic
201C43×#418C2211yescharacteristic
202C43×#407C2211yescharacteristic
203#13063372—42no—
204#13063372—42no—
205C2×#10621898—21no—
206C2×#10621898C2311yescharacteristic
207C2×#10621900—21no—
208C2×#10621900—21no—
209C2×#10621900C2311yescharacteristic
210C2×#10621900C2311yescharacteristic
211C2×#10621900C2311yescharacteristic
212C22×Dic86—21no—
213C22×Dic86C2311yescharacteristic
214C22×Dic86C2311yescharacteristic
215C2×Q8×D43C2311yescharacteristic
216C2×Q8×D43C2311yescharacteristic
217C2×Q8×D43C2311yescharacteristic
218#13063355—42no—
219#13063355—42no—
220#13063354—42no—
221#13063354—42no—
222#13063344—42no—
223C2×Dic172C2311yescharacteristic
224C2×Dic172C2311yescharacteristic
225C2×Dic172C2311yescharacteristic
226C2×Dic172C2311yescharacteristic
227C2×#10621885C2311yescharacteristic
228C2×#10621885C2311yescharacteristic
229C2×#10621885C2311yescharacteristic
230C2×#10621885C2311yescharacteristic
231C2×#10621885C2311yescharacteristic
232C2×#10621885C2311yescharacteristic
233Q16×D43—42no—
234C2×#10621883C2311yescharacteristic
235C2×#10621883C2311yescharacteristic
236C2×#10621883C2311yescharacteristic
237C2×#10621883C2311yescharacteristic
238C2×#10621883C2311yescharacteristic
239C2×#10621883C2311yescharacteristic
240C2×#10621877C2311yescharacteristic
241C2×#10621877C2311yescharacteristic
242C2×#10621872C2311yescharacteristic
243C2×#10621872C2311yescharacteristic
244C2×C8×D43C2311yescharacteristic
245C2×C8×D43C2311yescharacteristic
246#13063324—21no—
247#13063324—21no—
248#13063324C2311yescharacteristic
249#13063323—21no—
250#13063323—21no—
251#13063323C2311yescharacteristic
252#13063323C2311yescharacteristic
253#13063323C2311yescharacteristic
254#13063319—21no—
255#13063318—21no—
256#13063318—21no—
257#13063318—21no—
258#13063318—21no—
259#13063318—21no—
260#13063318—21no—
261#13063317—21no—
262#13063316—21no—
263#13063316C2311yescharacteristic
264#13063315—21no—
265#13063315—21no—
266#13063312—21no—
267#13063312—21no—
268#13063312—21no—
269#13063312—21no—
270#13063312C2311yescharacteristic
271#13063312C2311yescharacteristic
272#13063312C2311yescharacteristic
273#13063311—21no—
274#13063311—21no—
275#13063311—21no—
276#13063310—21no—
277#13063309—21no—
278#13063308—21no—
279#13063308—21no—
280#13063308—21no—
281#13063308D411yescharacteristic
282#13063308D411yescharacteristic
283#13063307—21no—
284#13063307—21no—
285#13063306—21no—
286#13063306—21no—
287#13063306—21no—
288#13063306—21no—
289#13063306—21no—
290#13063306—21no—
291#13063306—21no—
292#13063306—21no—
293#13063305—21no—
294#13063305C2311yescharacteristic
295#13063305C2311yescharacteristic
296#13063304—21no—
297#13063304—21no—
298#13063304—21no—
299#13063304—21no—
300#13063304—21no—
301#13063304—21no—
302#13063304—21no—
303#13063304—21no—
304#13063304—21no—
305#13063304—21no—
306#13063304—21no—
307#13063304—21no—
308#13063304D411yescharacteristic
309#13063304D411yescharacteristic
310#13063304C2311yescharacteristic
311#13063304C2311yescharacteristic
312#13063304C2311yescharacteristic
313#13063304C2311yescharacteristic
314#13063304C2311yescharacteristic
315#13063304C2311yescharacteristic
316#13063304C2311yescharacteristic
317#13063304C2311yescharacteristic
318#13063303—21no—
319#13063302—21no—
320#13063302—21no—
321#13063302—21no—
322#13063302—21no—
323#13063302—21no—
324#13063301—21no—
325#13063301—21no—
326#13063301C2311yescharacteristic
327#13063301C2311yescharacteristic
328#13063301C2311yescharacteristic
329#13063299—21no—
330#13063299D411yescharacteristic
331#13063299D411yescharacteristic
332#13063298—21no—
333#13063297—21no—
334#13063297—21no—
335#13063297—21no—
336#13063297—21no—
337#13063297—21no—
338#13063297—21no—
339#13063297—21no—
340#13063297—21no—
341#13063297—21no—
342#13063297—21no—
343#13063296—21no—
344#13063296—21no—
345#13063296—21no—
346#13063296—21no—
347#13063296C2311yescharacteristic
348#13063296C2311yescharacteristic
349#13063296C2311yescharacteristic
350#13063294—21no—
351#13063294—21no—
352#13063294D411yescharacteristic
353#13063294D411yescharacteristic
354Q8×Dic43C2311yescharacteristic
355Q8×Dic43C2311yescharacteristic
356Q8×Dic43C2311yescharacteristic
357C4×Dic86—21no—
358#13063290C2311yescharacteristic
359#13063290C2311yescharacteristic
360D4×Dic43—21no—
361D4×Dic43—21no—
362D4×Dic43—21no—
363D4×Dic43—21no—
364D4×Dic43C2311yescharacteristic
365D4×Dic43C2311yescharacteristic
366D4×Dic43C2311yescharacteristic
367C4×C22⋊D43—21no—
368C4×C22⋊D43—21no—
369C4×C22⋊D43—21no—
370C4×C22⋊D43—21no—
371C4×C22⋊D43—21no—
372C4×C22⋊D43C2311yescharacteristic
373C4×C22⋊D43C2311yescharacteristic
374C4×C22⋊D43C2311yescharacteristic
375C4×C22⋊D43C2311yescharacteristic
376(C22⋊D43)⋊C4—21no—
377(C22⋊D43)⋊C4—21no—
378#13063284—21no—
379#13063284C2311yescharacteristic
380#13063283C2311yescharacteristic
381#13063282—21no—
382C2×C4⋊Dic43—21no—
383C2×C4⋊Dic43C2311yescharacteristic
384C2×C4⋊Dic43C2311yescharacteristic
385C2×Dic43⋊C4—21no—
386C2×Dic43⋊C4—21no—
387C2×Dic43⋊C4—21no—
388C2×Dic43⋊C4—21no—
389C2×Dic43⋊C4—21no—
390C4⋊C4×D43C2311yescharacteristic
391C2×C22⋊Dic43—21no—
392C2×C22⋊Dic43—21no—
393C2×C22⋊Dic43—21no—
394C2×C22⋊Dic43—21no—
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063257C2311yescharacteristic
400#13063257C2311yescharacteristic
401#13063256C2311yescharacteristic
402#13063256C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405Dic43⋊C8C2311yescharacteristic
406Dic43⋊C8C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063250C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063249C2311yescharacteristic
419#13063249C2311yescharacteristic
420#13063249C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063248C2311yescharacteristic
424#13063248C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063246C2311yescharacteristic
431C22⋊(C43⋊C8)C2311yescharacteristic
432C22⋊(C43⋊C8)C2311yescharacteristic
433C22⋊(C43⋊C8)C2311yescharacteristic
434C22⋊(C43⋊C8)C2311yescharacteristic
435(C2×D43)⋊C8C2311yescharacteristic
436(C2×D43)⋊C8C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439#13063235C2311yescharacteristic
440#13063235C2311yescharacteristic
441C8×Dic43C2311yescharacteristic
442C8×Dic43C2311yescharacteristic
443C2×#41×C43—21no—
444C2×#41×C43—21no—
445C2×#41×C43—42no—
446C2×#41×C43—42no—
447C2×#41×C43C2311yescharacteristic
448C2×#41×C43C2311yescharacteristic
449C2×#41×C43C2311yescharacteristic
450C2×#41×C43C2311yescharacteristic
451C2×#41×C43C2311yescharacteristic
452C22×Q8×C43C2311yescharacteristic
453C22×D4×C43—21no—
454C22×D4×C43C2311yescharacteristic
455C23×C4×C43—21no—
456C23×C4×C43C2311yescharacteristic
457#137×C43—42no—
458AGL(1,ℤ/8)×C43—42no—
459C2×Q16×C43C2311yescharacteristic
460C2×Q16×C43C2311yescharacteristic
461C2×SD16×C43C2311yescharacteristic
462C2×SD16×C43C2311yescharacteristic
463C2×SD16×C43C2311yescharacteristic
464C2×SD16×C43C2311yescharacteristic
465C2×D8×C43C2311yescharacteristic
466C2×D8×C43C2311yescharacteristic
467C2×M16×C43C2311yescharacteristic
468C2×M16×C43C2311yescharacteristic
469#123×C43—21no—
470C22⋊Q8×C43C2311yescharacteristic
471C22⋊Q8×C43C2311yescharacteristic
472#121×C43C2311yescharacteristic
473#121×C43C2311yescharacteristic
474#120×C43—21no—
475C4×D4×C43—21no—
476C4×D4×C43—21no—
477#117×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#103×C43C2311yescharacteristic
481#103×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484#102×C43C2311yescharacteristic
485#102×C43C2311yescharacteristic
486C22⋊C8×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488C22⋊C8×C43C2311yescharacteristic
489C22⋊C8×C43C2311yescharacteristic
490C24×C43—21no—
491C24×C43C2×D411yescharacteristic
492#41×C43—22no—
493#41×C43—22no—
494#41×C43—22no—
495#41×C43—22no—
496#41×C43—41no—
497#41×C43—41no—
498#41×C43—41no—
499#41×C43—41no—
500#41×C43—44no—
501#41×C43—41no—
502#41×C43—41no—
503#41×C43—44no—
504C2×Q8×C43—21no—
505C2×Q8×C43—22no—
506C2×Q8×C43—41no—
507C2×Q8×C43C2411yescharacteristic
508C2×Q8×C43C2411yescharacteristic
509C2×Q8×C43C2411yescharacteristic
510C2×D4×C43—21no—
511C2×D4×C43—21no—
512C2×D4×C43—21no—
513C2×D4×C43—21no—
514C2×D4×C43—21no—
515C2×D4×C43—21no—
516C2×D4×C43—21no—
517C2×D4×C43—21no—
518C2×D4×C43—22no—
519C2×D4×C43—41no—
520C2×D4×C43—44no—
521C2×D4×C43C2411yescharacteristic
522C2×D4×C43C2411yescharacteristic
523C2×D4×C43C2411yescharacteristic
524C22×C4×C43—21no—
525C22×C4×C43—21no—
526C22×C4×C43—21no—
527C22×C4×C43—21no—
528C22×C4×C43—21no—
529C22×C4×C43—21no—
530C22×C4×C43—41no—
531C22×C4×C43—41no—
532C22×C4×C43—44no—
533C22×C4×C43C2×D411yescharacteristic
534C22×C4×C43C2×D411yescharacteristic
535C22×C4×C43C2×D411yescharacteristic
536C22×C4×C43C2411yescharacteristic
537C22×C4×C43C2411yescharacteristic
538C22×C4×C43C2411yescharacteristic
539C2×C22⋊D43—21no—
540C2×C22⋊D43—21no—
541C2×C22⋊D43—21no—
542C2×C22⋊D43—21no—
543C2×C22⋊D43—21no—
544C2×C22⋊D43—21no—
545C2×C22⋊D43C2×D411yescharacteristic
546C2×C22⋊D43C2×D411yescharacteristic
547C2×C22⋊D43C2×D411yescharacteristic
548C2×C22⋊D43C2×D411yescharacteristic
549C2×C22⋊D43C2×D411yescharacteristic
550C2×C22⋊D43C2×D411yescharacteristic
551C22×Dic43—21no—
552C22×Dic43—21no—
553C22×Dic43—21no—
554C22×Dic43—21no—
555C22×Dic43—21no—
556C22×Dic43—21no—
557C22×Dic43—21no—
558C22×Dic43—21no—
559C22×Dic43—21no—
560C22×Dic43—21no—
561Q8×D43—22no—
562Q8×D43—22no—
563Q8×D43—41no—
564Q8×D43—41no—
565Q8×D43—41no—
566Q8×D43—41no—
567#10621900—22no—
568#10621900—22no—
569#10621900—41no—
570#10621900—41no—
571#10621900—41no—
572#10621900—41no—
573#10621900—44no—
574#10621900—44no—
575#10621898—41no—
576#10621898—41no—
577#10621898—44no—
578C2×D172C2×D411yescharacteristic
579C2×C4×D43—21no—
580C2×C4×D43—21no—
581C2×C4×D43—21no—
582C2×C4×D43—21no—
583C2×C4×D43C2411yescharacteristic
584C2×C4×D43C2411yescharacteristic
585C2×Dic86—21no—
586C2×Dic86—21no—
587C2×Dic86—21no—
588C2×Dic86—21no—
589C2×Dic86—21no—
590C2×Dic86—21no—
591C2×Dic86—41no—
592C2×Dic86—41no—
593C2×Dic86—41no—
594C2×Dic86—41no—
595C2×Dic86—44no—
596C2×Dic86C2×D411yescharacteristic
597C2×Dic86C2411yescharacteristic
598C2×Dic86C2411yescharacteristic
599C2×Dic86C2411yescharacteristic
600C2×Dic86C2411yescharacteristic
601Q16×C43—22no—
602Q16×C43—41no—
603SD16×C43—22no—
604SD16×C43—22no—
605SD16×C43—41no—
606SD16×C43—41no—
607D8×C43—22no—
608D8×C43—41no—
609M16×C43—41no—
610M16×C43—41no—
611C2×C8×C43C2411yescharacteristic
612C2×C8×C43C2411yescharacteristic
613C2×C8×C43C2411yescharacteristic
614C2×C8×C43C2411yescharacteristic
615C4⋊C4×C43—21no—
616C4⋊C4×C43—21no—
617C4⋊C4×C43C2411yescharacteristic
618C4⋊C4×C43C2411yescharacteristic
619C22⋊C4×C43—21no—
620C22⋊C4×C43—21no—
621C22⋊C4×C43—21no—
622C22⋊C4×C43—21no—
623C22⋊C4×C43—21no—
624C42×C43—21no—
625C22⋊Dic43—21no—
626C22⋊Dic43—21no—
627C22⋊Dic43—21no—
628C22⋊Dic43—21no—
629C22⋊Dic43—21no—
630C22⋊Dic43—21no—
631C22⋊Dic43—21no—
632C22⋊Dic43—21no—
633C22⋊Dic43—21no—
634C22⋊Dic43—21no—
635C22⋊Dic43—21no—
636C22⋊Dic43—21no—
637C22⋊Dic43—21no—
638C22⋊Dic43—21no—
639C22⋊Dic43—21no—
640C22⋊Dic43—21no—
641C22⋊Dic43—21no—
642C22⋊Dic43—21no—
643C22⋊Dic43—21no—
644C22⋊Dic43—21no—
645C22⋊Dic43C2×D411yescharacteristic
646C22⋊Dic43C2×D411yescharacteristic
647C22⋊Dic43C2×D411yescharacteristic
648C22⋊Dic43C2×D411yescharacteristic
649C22⋊Dic43C2×D411yescharacteristic
650C22⋊Dic43C2×D411yescharacteristic
651#10621885—22no—
652#10621885—22no—
653#10621885—41no—
654#10621885—41no—
655#10621885—41no—
656#10621885—41no—
657#10621883—22no—
658#10621883—22no—
659#10621883—41no—
660#10621883—41no—
661#10621883—41no—
662#10621883—41no—
663(C2×D43)⋊C4—21no—
664(C2×D43)⋊C4—21no—
665(C2×D43)⋊C4—21no—
666(C2×D43)⋊C4—21no—
667(C2×D43)⋊C4—21no—
668(C2×D43)⋊C4—21no—
669(C2×D43)⋊C4C2×D411yescharacteristic
670(C2×D43)⋊C4C2×D411yescharacteristic
671(C2×D43)⋊C4C2×D411yescharacteristic
672(C2×D43)⋊C4C2×D411yescharacteristic
673C4⋊Dic43—21no—
674C4⋊Dic43—21no—
675C4⋊Dic43—21no—
676C4⋊Dic43—21no—
677C4⋊Dic43—21no—
678C4⋊Dic43—21no—
679C4⋊Dic43—21no—
680C4⋊Dic43—21no—
681C4⋊Dic43C2×D411yescharacteristic
682C4⋊Dic43C2×D411yescharacteristic
683C4⋊Dic43C2411yescharacteristic
684C4⋊Dic43C2411yescharacteristic
685C4⋊Dic43C2411yescharacteristic
686C4⋊Dic43C2411yescharacteristic
687Dic43⋊C4—21no—
688Dic43⋊C4—21no—
689Dic43⋊C4—21no—
690Dic43⋊C4—21no—
691Dic43⋊C4—21no—
692Dic43⋊C4—21no—
693Dic43⋊C4—21no—
694Dic43⋊C4—21no—
695Dic43⋊C4—21no—
696Dic43⋊C4—21no—
697Dic43⋊C4—21no—
698Dic43⋊C4—21no—
699Dic43⋊C4—21no—
700Dic43⋊C4—21no—
701Dic43⋊C4—21no—
702Dic43⋊C4—21no—
703Dic43⋊C4—21no—
704Dic43⋊C4—21no—
705Dic43⋊C4—21no—
706Dic43⋊C4—21no—
707Dic43⋊C4—21no—
708Dic43⋊C4—21no—
709Dic43⋊C4C2×D411yescharacteristic
710Dic43⋊C4C2×D411yescharacteristic
711Dic43⋊C4C2×D411yescharacteristic
712Dic43⋊C4C2×D411yescharacteristic
713C4×Dic43—21no—
714C4×Dic43—21no—
715C4×Dic43—21no—
716C4×Dic43—21no—
717C4×Dic43—21no—
718C4×Dic43—21no—
719C4×Dic43C2411yescharacteristic
720C4×Dic43C2411yescharacteristic
721#10621877—41no—
722#10621877—41no—
723C2×C43⋊C8C2411yescharacteristic
724C2×C43⋊C8C2411yescharacteristic
725C2×C43⋊C8C2411yescharacteristic
726C2×C43⋊C8C2411yescharacteristic
727Dic172—41no—
728Dic172—41no—
729Dic172—41no—
730Dic172—41no—
731#10621872—41no—
732#10621872—41no—
733C8×D43—41no—
734C8×D43—41no—
735C23×C43—21no—
736C23×C43—21no—
737C23×C43—21no—
738C23×C43—41no—
739C23×C43—41no—
740C23×C43—41no—
741C23×C43—42no—
742C23×C43—42no—
743C23×C43—81no—
744C23×C43C22×D411yescharacteristic
745C23×C43C22×D411yescharacteristic
746C23×C43C22×D411yescharacteristic
747C22×D43C22×D411yescharacteristic
748C22×D43C22×D411yescharacteristic
749Q8×C43—21no—
750Q8×C43—21no—
751Q8×C43—21no—
752Q8×C43—21no—
753Q8×C43—21no—
754Q8×C43—42no—
755Q8×C43H(5,𝔽2)12yes—
756D4×C43—24no—
757D4×C43—21no—
758D4×C43—21no—
759D4×C43—21no—
760D4×C43—21no—
761D4×C43—21no—
762D4×C43—42no—
763D4×C43—42no—
764D4×C43—42no—
765D4×C43—42no—
766D4×C43—42no—
767D4×C43—81no—
768D4×C43—81no—
769D4×C43H(5,𝔽2)12yes—
770C2×C4×C43—24no—
771C2×C4×C43—21no—
772C2×C4×C43—21no—
773C2×C4×C43—21no—
774C2×C4×C43—21no—
775C2×C4×C43—21no—
776C2×C4×C43—21no—
777C2×C4×C43—21no—
778C2×C4×C43—21no—
779C2×C4×C43—21no—
780C2×C4×C43—21no—
781C2×C4×C43—21no—
782C2×C4×C43—41no—
783C2×C4×C43—41no—
784C2×C4×C43—41no—
785C2×C4×C43—42no—
786C2×C4×C43—42no—
787C2×C4×C43—42no—
788C2×C4×C43—42no—
789C2×C4×C43—81no—
790C2×C4×C43C22×D411yescharacteristic
791C2×C4×C43C22×D411yescharacteristic
792C2×C4×C43C22×D411yescharacteristic
793C2×C4×C43C2511yescharacteristic
794C22⋊D43—41no—
795C22⋊D43—41no—
796C22⋊D43—41no—
797C22⋊D43—41no—
798C22⋊D43—41no—
799C22⋊D43—41no—
800C22⋊D43—42no—
801C22⋊D43—42no—
802C22⋊D43—81no—
803C22⋊D43—81no—
804C22⋊D43—81no—
805C22⋊D43—81no—
806C2×Dic43—21no—
807C2×Dic43—21no—
808C2×Dic43—21no—
809C2×Dic43—21no—
810C2×Dic43—21no—
811C2×Dic43—21no—
812C2×Dic43—21no—
813C2×Dic43—21no—
814C2×Dic43—42no—
815C2×Dic43—42no—
816C2×Dic43—42no—
817C2×Dic43—81no—
818C2×Dic43—81no—
819C2×Dic43—81no—
820C2×Dic43—81no—
821C2×Dic43—81no—
822C2×Dic43—81no—
823C2×Dic43—81no—
824C2×Dic43C22×D411yescharacteristic
825C2×Dic43C22×D411yescharacteristic
826C2×Dic43C22×D411yescharacteristic
827C2×Dic43C22×D411yescharacteristic
828C2×Dic43C22×D411yescharacteristic
829C2×Dic43C22×D411yescharacteristic
830D172—41no—
831C4×D43—21no—
832C4×D43—21no—
833C4×D43—21no—
834C4×D43—21no—
835C4×D43—42no—
836C4×D43—42no—
837C4×D43—81no—
838C4×D43—81no—
839Dic86—21no—
840Dic86—21no—
841Dic86—21no—
842Dic86—21no—
843Dic86—21no—
844Dic86—21no—
845Dic86—21no—
846Dic86—21no—
847Dic86—41no—
848Dic86—42no—
849Dic86—42no—
850Dic86—42no—
851Dic86—81no—
852Dic86—81no—
853Dic86—81no—
854C8×C43—21no—
855C8×C43—21no—
856C8×C43—21no—
857C8×C43—21no—
858C43⋊C8—21no—
859C43⋊C8—21no—
860C43⋊C8—21no—
861C43⋊C8—21no—
862#61655—431nomaximal, Sylow
863C22×C43—21no—
864C22×C43—21no—
865C22×C43—21no—
866C22×C43—21no—
867C22×C43—21no—
868C22×C43—21no—
869C22×C43—22no—
870C22×C43—21no—
871C22×C43—21no—
872C22×C43—21no—
873C22×C43—41no—
874C22×C43—41no—
875C22×C43—41no—
876C22×C43—41no—
877C22×C43—41no—
878C22×C43—41no—
879C22×C43—41no—
880C22×C43—41no—
881C22×C43—82no—
882C22×C43—84no—
883C22×C43C23×D411yescharacteristic
884C2×D43—21no—
885C2×D43—21no—
886C2×D43—21no—
887C2×D43—21no—
888C2×D43—21no—
889C2×D43—21no—
890C4×C43—21no—
891C4×C43—22no—
892C4×C43—21no—
893C4×C43—21no—
894C4×C43—41no—
895C4×C43—41no—
896C4×C43—41no—
897C4×C43—41no—
898C4×C43C2×H(5,𝔽2)11yescharacteristic
899C4×C43C2×H(5,𝔽2)11yescharacteristic
900Dic43—21no—
901Dic43—21no—
902Dic43—21no—
903Dic43—21no—
904Dic43—21no—
905Dic43—21no—
906Dic43—41no—
907Dic43—41no—
908Dic43—41no—
909Dic43—41no—
910Dic43—41no—
911Dic43—41no—
912Dic43—41no—
913Dic43—41no—
914#3541—431no—
915#3489—431no—
916#3331—431no—
917#3328—431no—
918#3326—431no—
919#3323—431no—
920#3316—431no—
921#3312—431no—
922#3311—431no—
923#3307—431no—
924#3277—431no—
925#3276—431no—
926#3276—431no—
927#3275—431no—
928#3270—431no—
929#3270—431no—
930#3269—431no—
931#3267—431no—
932#3225—431no—
933#3223—431no—
934#3204—431no—
935#3201—431no—
936#3196—431no—
937#3195—431no—
938#3125—431no—
939#3120—431no—
940#3013—431no—
941#3011—431no—
942#3007—431no—
943#3005D4311yescharacteristic, complemented
944#2978—431no—
945C2×C43—41no—
946C2×C43—41no—
947C2×C43—41no—
948C2×C43—42no—
949C2×C43—81no—
950C2×C43—81no—
951C2×C43#348411yescharacteristic
952C2×C43#358611yescharacteristic
953C2×C43#358611yescharacteristic
954D43—41no—
955D43—41no—
956C2×2−1+4—431no—
957C22×#41C2×D4311yescharacteristic
958C2×#137—431no—
959C2×#137—431no—
960C2×#137—431no—
961C2×#137—431no—
962C2×#137C2×D4311yescharacteristic
963C2×AGL(1,ℤ/8)C2×D4311yescharacteristic
964C2×#135—431no—
965C22×Q16—431no—
966#563—861no—
967#562—861no—
968#556—431no—
969#554—431no—
970#554—861no—
971#553—431no—
972#553—861no—
973#552—431no—
974D4×Q8—431no—
975D4×Q8—431no—
976D4×Q8—431no—
977#548—431no—
978#548—431no—
979#548—431no—
980#548—431no—
981#547—431no—
982#547—431no—
983#547—431no—
984#547—861no—
985#547—861no—
986#546—431no—
987#546—431no—
988#546—861no—
989#546—861no—
990#542—431no—
991#542—861no—
992#541—431no—
993#539—861no—
994#538—861no—
995#538—861no—
996#537—431no—
997#537—431no—
998#537—861no—
999#536—431no—
1000#536—431no—
1001#536—861no—
1002#525—431no—
1003#525—861no—
1004#525C2×D4311yescharacteristic
1005C2×C22⋊Q8—431no—
1006C2×C22⋊Q8—431no—
1007C2×C22⋊Q8—861no—
1008#520—431no—
1009#497—431no—
1010#497—431no—
1011#495—431no—
1012#494—431no—
1013#491—431no—
1014#489—431no—
1015#488—431no—
1016#487—431no—
1017#485—431no—
1018#485—431no—
1019#485—431no—
1020#484—431no—
1021#483—431no—
1022#483—431no—
1023#483—431no—
1024#483—431no—
1025#483—431no—
1026#482—431no—
1027#481—431no—
1028#481—431no—
1029#479—431no—
1030#478—431no—
1031#476—431no—
1032#475—431no—
1033#470—431no—
1034#470—431no—
1035#470—431no—
1036#470—431no—
1037#470—431no—
1038#470—431no—
1039#470—431no—
1040#470—431no—
1041#469—431no—
1042#468—431no—
1043#468—431no—
1044#468—431no—
1045#467—431no—
1046#465—431no—
1047#465—431no—
1048#465—431no—
1049#464—431no—
1050#464—431no—
1051#464—431no—
1052#464—431no—
1053#463—431no—
1054#463—431no—
1055#462—431no—
1056#462—431no—
1057#462—431no—
1058#462—431no—
1059#461—431no—
1060#461—431no—
1061#452—431no—
1062#452—431no—
1063#452—431no—
1064#452—431no—
1065#452—431no—
1066#452—431no—
1067#452—431no—
1068#452—431no—
1069#452—431no—
1070#452—431no—
1071#452C2×D4311yescharacteristic
1072#452C2×D4311yescharacteristic
1073#452C2×D4311yescharacteristic
1074#452C2×D4311yescharacteristic
1075#451—431no—
1076#451—431no—
1077#451—431no—
1078#451—431no—
1079#451—431no—
1080#451—431no—
1081#451—431no—
1082#451—431no—
1083#451—431no—
1084#451—431no—
1085#451—431no—
1086#450—431no—
1087#450—431no—
1088#449—431no—
1089#449—431no—
1090#449C2×D4311yescharacteristic
1091#449C2×D4311yescharacteristic
1092#449C2×D4311yescharacteristic
1093#449C2×D4311yescharacteristic
1094#448—431no—
1095#448—431no—
1096#448—431no—
1097#442—431no—
1098#441—431no—
1099#441—431no—
1100#440—431no—
1101C4×Q16—431no—
1102C4×SD16—431no—
1103C4×SD16—431no—
1104C4×SD16—431no—
1105#436—431no—
1106#436—431no—
1107#436—431no—
1108#436—431no—
1109#435—431no—
1110#435—431no—
1111#435—431no—
1112#435—431no—
1113#433—431no—
1114#433—431no—
1115#419—431no—
1116#419C2×D4311yescharacteristic
1117#418C2×D4311yescharacteristic
1118#417—431no—
1119#417—431no—
1120#417—431no—
1121#416—431no—
1122C2×#103—431no—
1123#408—431no—
1124#408—431no—
1125#407—431no—
1126#407C2×D4311yescharacteristic
1127C43#6165511yescharacteristic, complemented, Sylow
11282−1+4—1722no—
11292−1+4—1722no—
1130C2×#41—21no—
1131C2×#41—21no—
1132C2×#41—42no—
1133C2×#41—42no—
1134C2×#41—431no—
1135C2×#41—431no—
1136C2×#41—431no—
1137C2×#41—431no—
1138C2×#41—861no—
1139C2×#41—861no—
1140C2×#41—861no—
1141C2×#41C22×D4311yescharacteristic
1142C2×#41C22×D4311yescharacteristic
1143C2×#41C22×D4311yescharacteristic
1144C2×#41C22×D4311yescharacteristic
1145C2×#41C22×D4311yescharacteristic
1146C22×Q8—431no—
1147C22×Q8—431no—
1148C22×Q8—431no—
1149C22×Q8—431no—
1150C22×Q8—431no—
1151C22×Q8—861no—
1152C22×Q8C22×D4311yescharacteristic
1153C22×D4—21no—
1154C22×D4C22×D4311yescharacteristic
1155C23×C4—21no—
1156C23×C4C22×D4311yescharacteristic
1157#137—42no—
1158#137—1722no—
1159#137—1722no—
1160#137—1722no—
1161#137—1722no—
1162AGL(1,ℤ/8)—42no—
1163#135—1722no—
1164C2×Q16—431no—
1165C2×Q16—431no—
1166C2×Q16—431no—
1167C2×Q16—431no—
1168C2×Q16—431no—
1169C2×Q16—431no—
1170C2×Q16—431no—
1171C2×Q16—431no—
1172C2×Q16—431no—
1173C2×Q16—431no—
1174C2×Q16—1722no—
1175C2×Q16C22×D4311yescharacteristic
1176C2×Q16C22×D4311yescharacteristic
1177C2×SD16—431no—
1178C2×SD16—431no—
1179C2×SD16—431no—
1180C2×SD16—431no—
1181C2×SD16—431no—
1182C2×SD16—431no—
1183C2×SD16C22×D4311yescharacteristic
1184C2×SD16C22×D4311yescharacteristic
1185C2×SD16C22×D4311yescharacteristic
1186C2×SD16C22×D4311yescharacteristic
1187C2×D8C22×D4311yescharacteristic
1188C2×D8C22×D4311yescharacteristic
1189C2×M16—431no—
1190C2×M16—431no—
1191C2×M16—431no—
1192C2×M16—431no—
1193C2×M16C22×D4311yescharacteristic
1194C2×M16C22×D4311yescharacteristic
1195C22×C8—431no—
1196C22×C8—431no—
1197C4⋊Q8—431no—
1198C4⋊Q8—431no—
1199C4⋊Q8—431no—
1200C4⋊Q8—431no—
1201C4⋊Q8—861no—
1202C4⋊Q8—861no—
1203C4⋊Q8—861no—
1204C4⋊Q8—861no—
1205#126—861no—
1206#126—861no—
1207#126—861no—
1208#126—861no—
1209#126—861no—
1210#126—861no—
1211#126—861no—
1212#125—431no—
1213#125—861no—
1214#125—861no—
1215#125—861no—
1216#125—861no—
1217#124—431no—
1218#124—431no—
1219#124—431no—
1220#124—861no—
1221#124—861no—
1222#124—861no—
1223#124—861no—
1224#124—861no—
1225#124—861no—
1226#124—861no—
1227#123—21no—
1228#123—431no—
1229#123—431no—
1230#123—861no—
1231#123—861no—
1232#123—861no—
1233#123—861no—
1234#123—861no—
1235#123—861no—
1236#123—861no—
1237#123—861no—
1238#123—861no—
1239#123—861no—
1240#123—861no—
1241#123—861no—
1242#123—861no—
1243#123—861no—
1244#123—861no—
1245C22⋊Q8—431no—
1246C22⋊Q8—431no—
1247C22⋊Q8—431no—
1248C22⋊Q8—431no—
1249C22⋊Q8—431no—
1250C22⋊Q8—431no—
1251C22⋊Q8—431no—
1252C22⋊Q8—431no—
1253C22⋊Q8—431no—
1254C22⋊Q8—431no—
1255C22⋊Q8—431no—
1256C22⋊Q8—431no—
1257C22⋊Q8—431no—
1258C22⋊Q8—431no—
1259C22⋊Q8—431no—
1260C22⋊Q8—861no—
1261C22⋊Q8—861no—
1262C22⋊Q8—861no—
1263C22⋊Q8—861no—
1264C22⋊Q8—861no—
1265C22⋊Q8—861no—
1266C22⋊Q8—861no—
1267C22⋊Q8—861no—
1268C22⋊Q8—861no—
1269C22⋊Q8—861no—
1270C22⋊Q8—861no—
1271C22⋊Q8—861no—
1272C22⋊Q8—861no—
1273C22⋊Q8—861no—
1274C22⋊Q8—861no—
1275C22⋊Q8—861no—
1276C22⋊Q8—861no—
1277C22⋊Q8—861no—
1278C22⋊Q8—861no—
1279C22⋊Q8—861no—
1280C22⋊Q8—861no—
1281C22⋊Q8C22×D4311yescharacteristic
1282C22⋊Q8C22×D4311yescharacteristic
1283#121—431no—
1284#121—431no—
1285#121—431no—
1286#121—431no—
1287#121—431no—
1288#121—861no—
1289#121—861no—
1290#121—861no—
1291#121—861no—
1292#121—861no—
1293#121—861no—
1294#121—861no—
1295#121—861no—
1296#121—861no—
1297#121—861no—
1298#121—861no—
1299#121—861no—
1300#121—861no—
1301#121—861no—
1302#121—861no—
1303#121—861no—
1304#121C22×D4311yescharacteristic
1305#121C22×D4311yescharacteristic
1306#120—21no—
1307#120—431no—
1308#120—431no—
1309#120—861no—
1310#120—861no—
1311C4×Q8—431no—
1312C4×Q8—431no—
1313C4×Q8—431no—
1314C4×Q8—431no—
1315C4×Q8—431no—
1316C4×Q8—861no—
1317C4×D4—21no—
1318C4×D4—21no—
1319C4×D4—431no—
1320C4×D4—431no—
1321C4×D4—431no—
1322C4×D4—431no—
1323C4×D4—431no—
1324C4×D4—431no—
1325C4×D4—431no—
1326C4×D4—861no—
1327C4×D4—861no—
1328C4×D4—861no—
1329C4×D4—861no—
1330C4×D4—861no—
1331C4×D4—861no—
1332C4×D4—861no—
1333C4×D4—861no—
1334C4×D4—861no—
1335C4×D4—861no—
1336C4×D4—861no—
1337#117—431no—
1338#117—431no—
1339#117—861no—
1340#117—861no—
1341#117C22×D4311yescharacteristic
1342C2×C4⋊C4—431no—
1343C2×C4⋊C4—431no—
1344C2×C4⋊C4—431no—
1345C2×C4⋊C4—861no—
1346C2×C4⋊C4—861no—
1347C2×C4⋊C4—861no—
1348C2×C4⋊C4—861no—
1349C2×C4⋊C4—861no—
1350C2×C4⋊C4—861no—
1351C2×C22⋊C4—861no—
1352C2×C22⋊C4—861no—
1353C2×C22⋊C4—861no—
1354C2×C22⋊C4—861no—
1355#107—431no—
1356#107—431no—
1357#106—431no—
1358#106—431no—
1359#106—431no—
1360#106—431no—
1361#106—431no—
1362#106—431no—
1363C4⋊C8—431no—
1364C4⋊C8—431no—
1365C4⋊C8—431no—
1366C4⋊C8—431no—
1367#103—431no—
1368#103—431no—
1369#103—431no—
1370#103—431no—
1371#103—431no—
1372#103—431no—
1373#103—431no—
1374#103—431no—
1375#103—431no—
1376#103—431no—
1377#103—431no—
1378#103—431no—
1379#103—431no—
1380#103—431no—
1381#103—431no—
1382#103—431no—
1383#103—431no—
1384#103—431no—
1385#103C22×D4311yescharacteristic
1386#103C22×D4311yescharacteristic
1387#103C22×D4311yescharacteristic
1388#103C22×D4311yescharacteristic
1389#102—431no—
1390#102—431no—
1391#102—431no—
1392#102—431no—
1393#102—431no—
1394#102—431no—
1395#102C22×D4311yescharacteristic
1396#102C22×D4311yescharacteristic
1397#102C22×D4311yescharacteristic
1398#102C22×D4311yescharacteristic
1399C22⋊C8—431no—
1400C22⋊C8—431no—
1401C22⋊C8—431no—
1402C22⋊C8—431no—
1403C22⋊C8—431no—
1404C22⋊C8—431no—
1405C22⋊C8—431no—
1406C22⋊C8—431no—
1407C22⋊C8C22×D4311yescharacteristic
1408C22⋊C8C22×D4311yescharacteristic
1409C22⋊C8C22×D4311yescharacteristic
1410C22⋊C8C22×D4311yescharacteristic
1411#97—431no—
1412#97—431no—
1413C4×C8—431no—
1414C4×C8—431no—
1415C24—21no—
1416C24D4×D4311yescharacteristic
1417#41—22no—
1418#41—22no—
1419#41—22no—
1420#41—22no—
1421#41—41no—
1422#41—41no—
1423#41—41no—
1424#41—41no—
1425#41—44no—
1426#41—41no—
1427#41—41no—
1428#41—44no—
1429#41—862no—
1430#41—862no—
1431#41—1721no—
1432#41—1721no—
1433#41—1724no—
1434#41—1721no—
1435#41—1721no—
1436#41—1721no—
1437#41—1721no—
1438#41—1724no—
1439#41—1724no—
1440C2×Q8—21no—
1441C2×Q8—22no—
1442C2×Q8—41no—
1443C2×Q8—431no—
1444C2×Q8—431no—
1445C2×Q8—431no—
1446C2×Q8—431no—
1447C2×Q8—431no—
1448C2×Q8—861no—
1449C2×Q8—861no—
1450C2×Q8—861no—
1451C2×Q8—861no—
1452C2×Q8—861no—
1453C2×Q8—861no—
1454C2×Q8—862no—
1455C2×Q8—862no—
1456C2×Q8—1721no—
1457C2×Q8—1721no—
1458C2×Q8—1721no—
1459C2×Q8—1721no—
1460C2×Q8—1724no—
1461C2×Q8—1721no—
1462C2×Q8—1721no—
1463C2×Q8—1721no—
1464C2×Q8—1721no—
1465C2×Q8C23×D4311yescharacteristic
1466C2×Q8C23×D4311yescharacteristic
1467C2×Q8C23×D4311yescharacteristic
1468C2×D4—21no—
1469C2×D4—22no—
1470C2×D4—21no—
1471C2×D4—21no—
1472C2×D4—21no—
1473C2×D4—21no—
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—41no—
1478C2×D4—44no—
1479C2×D4—431no—
1480C2×D4—431no—
1481C2×D4—431no—
1482C2×D4—431no—
1483C2×D4—431no—
1484C2×D4—431no—
1485C2×D4—431no—
1486C2×D4—861no—
1487C2×D4—861no—
1488C2×D4—861no—
1489C2×D4—861no—
1490C2×D4—861no—
1491C2×D4—861no—
1492C2×D4C23×D4311yescharacteristic
1493C2×D4C23×D4311yescharacteristic
1494C2×D4C23×D4311yescharacteristic
1495C22×C4—21no—
1496C22×C4—21no—
1497C22×C4—21no—
1498C22×C4—21no—
1499C22×C4—21no—
1500C22×C4—21no—
1501C22×C4—41no—
1502C22×C4—41no—
1503C22×C4—44no—
1504C22×C4—431no—
1505C22×C4—431no—
1506C22×C4—861no—
1507C22×C4—861no—
1508C22×C4—861no—
1509C22×C4—861no—
1510C22×C4—861no—
1511C22×C4—861no—
1512C22×C4—861no—
1513C22×C4—861no—
1514C22×C4—861no—
1515C22×C4—861no—
1516C22×C4—861no—
1517C22×C4—861no—
1518C22×C4—861no—
1519C22×C4—861no—
1520C22×C4D4×D4311yescharacteristic
1521C22×C4D4×D4311yescharacteristic
1522C22×C4D4×D4311yescharacteristic
1523C22×C4C23×D4311yescharacteristic
1524C22×C4C23×D4311yescharacteristic
1525C22×C4C23×D4311yescharacteristic
1526Q16—22no—
1527Q16—41no—
1528Q16—862no—
1529Q16—862no—
1530Q16—1721no—
1531Q16—1721no—
1532Q16—1721no—
1533Q16—1721no—
1534Q16—1721no—
1535Q16—1721no—
1536Q16—1721no—
1537Q16—1721no—
1538SD16—22no—
1539SD16—22no—
1540SD16—41no—
1541SD16—41no—
1542SD16—862no—
1543SD16—862no—
1544SD16—1721no—
1545SD16—1721no—
1546SD16—1721no—
1547SD16—1721no—
1548D8—22no—
1549D8—41no—
1550M16—41no—
1551M16—41no—
1552M16—1721no—
1553M16—1721no—
1554M16—1721no—
1555M16—1721no—
1556C2×C8—431no—
1557C2×C8—431no—
1558C2×C8—431no—
1559C2×C8—431no—
1560C2×C8—1721no—
1561C2×C8—1721no—
1562C2×C8C23×D4311yescharacteristic
1563C2×C8C23×D4311yescharacteristic
1564C2×C8C23×D4311yescharacteristic
1565C2×C8C23×D4311yescharacteristic
1566C4⋊C4—21no—
1567C4⋊C4—21no—
1568C4⋊C4—431no—
1569C4⋊C4—431no—
1570C4⋊C4—431no—
1571C4⋊C4—431no—
1572C4⋊C4—431no—
1573C4⋊C4—431no—
1574C4⋊C4—431no—
1575C4⋊C4—431no—
1576C4⋊C4—431no—
1577C4⋊C4—431no—
1578C4⋊C4—861no—
1579C4⋊C4—861no—
1580C4⋊C4—861no—
1581C4⋊C4—861no—
1582C4⋊C4—861no—
1583C4⋊C4—861no—
1584C4⋊C4—861no—
1585C4⋊C4—861no—
1586C4⋊C4—861no—
1587C4⋊C4—861no—
1588C4⋊C4—861no—
1589C4⋊C4—861no—
1590C4⋊C4—861no—
1591C4⋊C4—861no—
1592C4⋊C4—861no—
1593C4⋊C4—861no—
1594C4⋊C4—861no—
1595C4⋊C4—861no—
1596C4⋊C4—861no—
1597C4⋊C4—861no—
1598C4⋊C4—861no—
1599C4⋊C4—861no—
1600C4⋊C4—861no—
1601C4⋊C4—861no—
1602C4⋊C4—861no—
1603C4⋊C4—861no—
1604C4⋊C4—861no—
1605C4⋊C4—861no—
1606C4⋊C4—861no—
1607C4⋊C4—861no—
1608C4⋊C4C23×D4311yescharacteristic
1609C4⋊C4C23×D4311yescharacteristic
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—431no—
1616C22⋊C4—431no—
1617C22⋊C4—431no—
1618C22⋊C4—431no—
1619C22⋊C4—431no—
1620C22⋊C4—431no—
1621C22⋊C4—431no—
1622C22⋊C4—431no—
1623C22⋊C4—431no—
1624C22⋊C4—431no—
1625C22⋊C4—861no—
1626C22⋊C4—861no—
1627C22⋊C4—861no—
1628C22⋊C4—861no—
1629C22⋊C4—861no—
1630C22⋊C4—861no—
1631C22⋊C4—861no—
1632C22⋊C4—861no—
1633C22⋊C4—861no—
1634C22⋊C4—861no—
1635C22⋊C4—861no—
1636C22⋊C4—861no—
1637C22⋊C4—861no—
1638C22⋊C4—861no—
1639C22⋊C4—861no—
1640C22⋊C4—861no—
1641C22⋊C4—861no—
1642C22⋊C4—861no—
1643C22⋊C4—861no—
1644C22⋊C4—861no—
1645C22⋊C4—861no—
1646C22⋊C4—861no—
1647C22⋊C4—861no—
1648C22⋊C4—861no—
1649C22⋊C4—861no—
1650C22⋊C4—861no—
1651C42—21no—
1652C42—431no—
1653C42—431no—
1654C42—861no—
1655C42—861no—
1656C42—861no—
1657C42—861no—
1658C42—861no—
1659C42—861no—
1660C23—21no—
1661C23—21no—
1662C23—21no—
1663C23—41no—
1664C23—41no—
1665C23—41no—
1666C23—42no—
1667C23—42no—
1668C23—81no—
1669C23—431no—
1670C23—431no—
1671C23C2×D4×D4311yescharacteristic
1672C23C2×D4×D4311yescharacteristic
1673C23C2×D4×D4311yescharacteristic
1674Q8—21no—
1675Q8—21no—
1676Q8—21no—
1677Q8—21no—
1678Q8—21no—
1679Q8—42no—
1680Q8—861no—
1681Q8—861no—
1682Q8—861no—
1683Q8—861no—
1684Q8—861no—
1685Q8—861no—
1686Q8—861no—
1687Q8—861no—
1688Q8—3441no—
1689Q8—3441no—
1690Q8—3441no—
1691Q8—1721no—
1692Q8—1722no—
1693Q8—1722no—
1694Q8—1722no—
1695Q8#1306337012yes—
1696D4—24no—
1697D4—21no—
1698D4—21no—
1699D4—21no—
1700D4—21no—
1701D4—21no—
1702D4—42no—
1703D4—42no—
1704D4—42no—
1705D4—42no—
1706D4—42no—
1707D4—81no—
1708D4—81no—
1709D4—3441no—
1710D4—3441no—
1711D4—3441no—
1712D4—3441no—
1713D4—1721no—
1714D4—1721no—
1715D4—1721no—
1716D4—1721no—
1717D4—1721no—
1718D4—1721no—
1719D4—1721no—
1720D4—1722no—
1721D4—1722no—
1722D4#1306337012yes—
1723C2×C4—24no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—41no—
1736C2×C4—41no—
1737C2×C4—41no—
1738C2×C4—42no—
1739C2×C4—42no—
1740C2×C4—42no—
1741C2×C4—42no—
1742C2×C4—81no—
1743C2×C4—431no—
1744C2×C4—431no—
1745C2×C4—431no—
1746C2×C4—431no—
1747C2×C4—431no—
1748C2×C4—431no—
1749C2×C4—861no—
1750C2×C4—861no—
1751C2×C4—861no—
1752C2×C4—861no—
1753C2×C4—861no—
1754C2×C4—861no—
1755C2×C4—861no—
1756C2×C4—861no—
1757C2×C4—861no—
1758C2×C4—861no—
1759C2×C4—861no—
1760C2×C4—861no—
1761C2×C4—3441no—
1762C2×C4—3441no—
1763C2×C4—3441no—
1764C2×C4—3441no—
1765C2×C4—3441no—
1766C2×C4—3441no—
1767C2×C4—3441no—
1768C2×C4—3441no—
1769C2×C4—3441no—
1770C2×C4—1722no—
1771C2×C4—1722no—
1772C2×C4—1722no—
1773C2×C4—1722no—
1774C2×C4—1722no—
1775C2×C4C2×D4×D4311yescharacteristic
1776C2×C4C2×D4×D4311yescharacteristic
1777C2×C4C2×D4×D4311yescharacteristic
1778C2×C4C24×D4311yescharacteristic
1779C8—21no—
1780C8—21no—
1781C8—21no—
1782C8—21no—
1783C8—861no—
1784C8—861no—
1785C8—861no—
1786C8—861no—
1787C22—21no—
1788C22—21no—
1789C22—21no—
1790C22—21no—
1791C22—21no—
1792C22—21no—
1793C22—21no—
1794C22—21no—
1795C22—21no—
1796C22—22no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—82no—
1806C22—84no—
1807C22—861no—
1808C22—861no—
1809C22—861no—
1810C22—861no—
1811C22—861no—
1812C22—861no—
1813C22C22×D4×D4311yescharacteristic
1814C4—21no—
1815C4—22no—
1816C4—21no—
1817C4—21no—
1818C4—41no—
1819C4—41no—
1820C4—41no—
1821C4—41no—
1822C4—861no—
1823C4—861no—
1824C4—861no—
1825C4—861no—
1826C4—861no—
1827C4—861no—
1828C4—1721no—
1829C4—1721no—
1830C4—1721no—
1831C4—1721no—
1832C4—1721no—
1833C4—1721no—
1834C4—1721no—
1835C4—1721no—
1836C4C2×#1306337011yescharacteristic
1837C4C2×#1306337011yescharacteristic
1838C2—41no—
1839C2—41no—
1840C2—41no—
1841C2—42no—
1842C2—81no—
1843C2—81no—
1844C2—1721no—
1845C2—1721no—
1846C2#1914822411yescharacteristic
1847C2#1914937911yescharacteristic
1848C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3005C2
socleC22×C43C23×D4
hypercenter#3005D43
hypocenterC43#61655
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3005

Complements

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

NH ≅ G/Ntype
1. #19148880C2semidirect
2. #19148275C2semidirect
3. #19146904C2semidirect
4. #19146874C2semidirect
5. #19146841C2semidirect
6. #19146807C2semidirect
7. #19146699C2semidirect
8. #19146647C2semidirect
9. #19146632C2semidirect
10. #19146564C2semidirect
11. #19146245C2semidirect
12. #19146239C2semidirect
13. #19146235C2semidirect
14. #19146226C2semidirect
15. #19146163C2semidirect
16. #19146159C2semidirect
17. #19146148C2semidirect
18. #19146114C2semidirect
19. #19145700C2semidirect
20. #19145676C2semidirect
21. #19145504C2semidirect
22. #19145474C2semidirect
23. #19145421C2semidirect
24. #19145419C2semidirect
25. #19144873C2semidirect
26. #19144802C2semidirect
27. #19143908C2semidirect
28. #19143887C2semidirect
29. #19143855C2semidirect
30. #19143655C2semidirect
31. C43×#3005C2semidirect
35. C2×#13063354C22semidirect
36. C2×#13063354C22semidirect
37. C2×#13063344C22semidirect
38. C2×Q16×D43C22semidirect
43. #14583607C22semidirect
44. #14583601C22semidirect
49. #14583562C22semidirect
53. #14583555C22semidirect
63. #14583516C22semidirect
65. #14583509C22semidirect
69. #14583478C22semidirect
72. #14583472C22semidirect
81. #14583290C22semidirect
82. #14583290C22semidirect
83. #14583282C22semidirect
84. #14583277C22semidirect
85. #14583266C22semidirect
86. #14583257C22semidirect
87. #14583252C22semidirect
88. #14583248C22semidirect
91. #14583238C22semidirect
92. #14583232C22semidirect
93. #14583230C22semidirect
94. #14583230C22semidirect
95. #14583230C22semidirect
96. #14583230C22semidirect
97. #14583228C22semidirect
98. #14583222C22semidirect
99. #14583216C22semidirect
100. #14583215C22semidirect
101. #14583204C22semidirect
102. #14583201C22semidirect
103. #14583187C22semidirect
104. #14583182C22semidirect
109. #14583156C22semidirect
110. #14583155C22semidirect
111. #14583155C22semidirect
112. #14583154C22semidirect
113. #14583149C22semidirect
114. #14583144C22semidirect
115. #14583143C22semidirect
116. #14583143C22semidirect
117. #14583139C22semidirect
118. #14583127C22semidirect
119. #14583125C22semidirect
120. #14583125C22semidirect
121. #14583120C22semidirect
122. #14583120C22semidirect
123. #14583119C22semidirect
124. #14583119C22semidirect
125. #14583112C22semidirect
126. #14583112C22semidirect
127. #14583108C22semidirect
128. #14583108C22semidirect
129. #14583107C22semidirect
130. #14583107C22semidirect
131. #14583102C22semidirect
132. #14583102C22semidirect
133. #14583062C22semidirect
134. #14583062C22semidirect
141. #14583058C22semidirect
142. #14583058C22semidirect
143. #14583057C22semidirect
144. #14583057C22semidirect
145. #14583057C22semidirect
146. #14583057C22semidirect
147. #14583056C22semidirect
148. #14583056C22semidirect
151. #14583054C22semidirect
152. #14583053C22semidirect
153. #14583053C22semidirect
156. #14583041C22semidirect
157. #14583041C22semidirect
158. #14583037C22semidirect
159. #14583036C22semidirect
160. #14583036C22semidirect
161. #14583011C22semidirect
162. #14583006C22semidirect
163. #14583003C22semidirect
164. #14582996C22semidirect
165. #14582991C22semidirect
166. #14582990C22semidirect
167. SD16×Dic43C22semidirect
168. SD16×Dic43C22semidirect
171. #14582974C22semidirect
172. #14582974C22semidirect
173. #14582973C22semidirect
174. #14582973C22semidirect
177. #14582957C22semidirect
178. #14582957C22semidirect
179. #14582906C22semidirect
182. #14582897C22semidirect
183. #14582892C22semidirect
184. #103×D43C22semidirect
185. #14582864C22semidirect
186. #14582864C22semidirect
943. #3005D43semidirect
1127. C43#61655semidirect

Maximal subgroups

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

subgroupindex
#191488802
#191482752
#191469042
#191468742
#191468412
#191468072
#191466992
#191466472
#191466322
#191465642
#191462452
#191462392
#191462352
#191462262
#191461632
#191461592
#191461482
#191461142
#191457002
#191456762
#191455042
#191454742
#191454212
#191454192
#191448732
#191448022
#191439082
#191438872
#191438552
#191436552
C43×#30052
#6165543