Finite Group Databasebeta

← #25979739

Subgroups — #25979739

Order 11008.

1896 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148543C211yesmaximal, characteristic, complemented
2#19148536C211yesmaximal, characteristic, complemented
3#19147686C211yesmaximal, characteristic, complemented
4#19147492C211yesmaximal, characteristic, complemented
5#19147382C211yesmaximal, characteristic, complemented
6#19147345C211yesmaximal, characteristic, complemented
7#19147191C211yesmaximal, characteristic, complemented
8#19147135C211yesmaximal, characteristic, complemented
9#19147105C211yesmaximal, characteristic, complemented
10#19146830C211yesmaximal, characteristic, complemented
11#19146804C211yesmaximal, characteristic, complemented
12#19146751C211yesmaximal, characteristic, complemented
13#19146740C211yesmaximal, characteristic, complemented
14#19146635C211yesmaximal, characteristic, complemented
15#19146556C211yesmaximal, characteristic, complemented
16#19146069C211yesmaximal, characteristic, complemented
17#19146069C211yesmaximal, characteristic, complemented
18#19145271C211yesmaximal, characteristic, complemented
19#19145209C211yesmaximal, characteristic, complemented
20#19145183C211yesmaximal, characteristic, complemented
21#19144865C211yesmaximal, characteristic, complemented
22#19144832C211yesmaximal, characteristic, complemented
23#19144778C211yesmaximal, characteristic, complemented
24#19144776C211yesmaximal, characteristic, complemented
25#19144705C211yesmaximal, characteristic, complemented
26#19144681C211yesmaximal, characteristic, complemented
27#19143581C211yesmaximal, characteristic, complemented
28#19143442C211yesmaximal, characteristic, complemented
29#19143428C211yesmaximal, characteristic, complemented
30AGL(1,ℤ/8)×Dic43C211yesmaximal, characteristic, complemented
31C43×#3273C211yesmaximal, characteristic, complemented
32C2×D8×D43C2211yescharacteristic
33#14583631C2211yescharacteristic, complemented
34#14583631C2211yescharacteristic, complemented
35#14583620C2211yescharacteristic, complemented
36#14583614C2211yescharacteristic, complemented
37#14583613C2211yescharacteristic
38#14583606C2211yescharacteristic, complemented
39#14583601—21no—
40#14583601C2211yescharacteristic
41#14583591C2211yescharacteristic, complemented
42#14583575—21no—
43#14583575—21no—
44#14583572—21no—
45#14583572—21no—
46D4×Dic86C2211yescharacteristic, complemented
47#14583555—21no—
48#14583553C2211yescharacteristic, complemented
49#14583537C2211yescharacteristic
50#14583537C2211yescharacteristic
51#14583536—21no—
52#14583536—21no—
53D4×C22⋊D43C2211yescharacteristic, complemented
54D4×C22⋊D43C2211yescharacteristic, complemented
55#14583522C2211yescharacteristic, complemented
56#14583518C2211yescharacteristic, complemented
57#14583518C2211yescharacteristic, complemented
58#14583502C2211yescharacteristic, complemented
59#14583493—21no—
60#14583486—21no—
61#14583486—21no—
62#14583484—21no—
63#14583444C2211yescharacteristic, complemented
64#14583435C2211yescharacteristic, complemented
65#14583429C2211yescharacteristic
66#14583426—21no—
67C2×#13063311—21no—
68#14583405—21no—
69C2×#13063309—21no—
70#14583382C2211yescharacteristic, complemented
71#14583374C2211yescharacteristic, complemented
72#14583371C2211yescharacteristic, complemented
73#14583371C2211yescharacteristic, complemented
74#41×Dic43C2211yescharacteristic, complemented
75C2×D4×Dic43C2211yescharacteristic, complemented
76#14583307C2211yescharacteristic, complemented
77#14583307C2211yescharacteristic, complemented
78#14583297C2211yescharacteristic, complemented
79#14583285C2211yescharacteristic, complemented
80#14583285C2211yescharacteristic, complemented
81#14583262C2211yescharacteristic, complemented
82#14583260C2211yescharacteristic, complemented
83#14583258C2211yescharacteristic, complemented
84#14583258C2211yescharacteristic, complemented
85#14583255C2211yescharacteristic, complemented
86#14583244C2211yescharacteristic, complemented
87#14583239C2211yescharacteristic, complemented
88#14583238C2211yescharacteristic, complemented
89#14583237C2211yescharacteristic, complemented
90#14583227C2211yescharacteristic, complemented
91#14583224C2211yescharacteristic, complemented
92#14583224C2211yescharacteristic, complemented
93#14583222C2211yescharacteristic, complemented
94#14583221C2211yescharacteristic, complemented
95#14583220C2211yescharacteristic, complemented
96#14583218C2211yescharacteristic, complemented
97#14583218C2211yescharacteristic, complemented
98#14583215C2211yescharacteristic, complemented
99#14583208C2211yescharacteristic, complemented
100#14583201C2211yescharacteristic, complemented
101#14583201C2211yescharacteristic, complemented
102#14583197C2211yescharacteristic, complemented
103#14583190C2211yescharacteristic, complemented
104#14583189C2211yescharacteristic, complemented
105#14583187C2211yescharacteristic, complemented
106#14583187C2211yescharacteristic, complemented
107#14583187C2211yescharacteristic, complemented
108#14583182C2211yescharacteristic, complemented
109#14583180C2211yescharacteristic, complemented
110#14583179C2211yescharacteristic, complemented
111#14583154C2211yescharacteristic, complemented
112#14583152C2211yescharacteristic, complemented
113#14583152C2211yescharacteristic, complemented
114#14583150C2211yescharacteristic, complemented
115#14583149C2211yescharacteristic
116#14583147C2211yescharacteristic, complemented
117#14583133C2211yescharacteristic, complemented
118#14583130C2211yescharacteristic, complemented
119#14583125C2211yescharacteristic, complemented
120#14583125C2211yescharacteristic, complemented
121#14583123C2211yescharacteristic, complemented
122#14583123C2211yescharacteristic, complemented
123#14583116C2211yescharacteristic, complemented
124#14583116C2211yescharacteristic, complemented
125#14583111C2211yescharacteristic, complemented
126#14583111C2211yescharacteristic, complemented
127#14583092C2211yescharacteristic
128#14583092C2211yescharacteristic
129#14583092C2211yescharacteristic, complemented
130#14583092C2211yescharacteristic, complemented
131#14583048C2211yescharacteristic, complemented
132#14583048C2211yescharacteristic, complemented
133#14583044C2211yescharacteristic
134#14583044C2211yescharacteristic
135#14583033C2211yescharacteristic, complemented
136#14583033C2211yescharacteristic, complemented
137#14583031C2211yescharacteristic
138#14583031C2211yescharacteristic
139#14583029C2211yescharacteristic, complemented
140#14583028C2211yescharacteristic, complemented
141#14583011C2211yescharacteristic
142#14583011C2211yescharacteristic
143#14583011C2211yescharacteristic, complemented
144#14583011C2211yescharacteristic, complemented
145#14583011C2211yescharacteristic, complemented
146#14583009C2211yescharacteristic, complemented
147#14583009C2211yescharacteristic, complemented
148#14583008C2211yescharacteristic, complemented
149#14583008C2211yescharacteristic, complemented
150#14583008C2211yescharacteristic, complemented
151#14583006C2211yescharacteristic, complemented
152#14583002C2211yescharacteristic, complemented
153#14583000C2211yescharacteristic, complemented
154#14583000C2211yescharacteristic, complemented
155#14583000C2211yescharacteristic, complemented
156#14583000C2211yescharacteristic, complemented
157SD16×Dic43C2211yescharacteristic, complemented
158SD16×Dic43C2211yescharacteristic, complemented
159SD16×Dic43C2211yescharacteristic, complemented
160SD16×Dic43C2211yescharacteristic, complemented
161#14582984C2211yescharacteristic, complemented
162C4×D344C2211yescharacteristic, complemented
163D8×Dic43C2211yescharacteristic
164D8×Dic43C2211yescharacteristic, complemented
165D8×Dic43C2211yescharacteristic, complemented
166#14582981C2211yescharacteristic, complemented
167#14582979C2211yescharacteristic, complemented
168#14582974C2211yescharacteristic, complemented
169#14582971C2211yescharacteristic, complemented
170#14582968C2211yescharacteristic, complemented
171#14582968C2211yescharacteristic, complemented
172#14582967C2211yescharacteristic, complemented
173#14582959C2211yescharacteristic, complemented
174#14582957C2211yescharacteristic, complemented
175#14582953C2211yescharacteristic, complemented
176#14582941C2211yescharacteristic, complemented
177#14582941C2211yescharacteristic, complemented
178#14582936C2211yescharacteristic, complemented
179#14582904C2211yescharacteristic, complemented
180#14582902C2211yescharacteristic, complemented
181#14582902C2211yescharacteristic, complemented
182#14582900C2211yescharacteristic, complemented
183#14582895C2211yescharacteristic, complemented
184C2×#13063246C2211yescharacteristic, complemented
185#14582857C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187M16×Dic43C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C43C2211yescharacteristic
189C2×AGL(1,ℤ/8)×C43C2211yescharacteristic
190C43×#546C2211yescharacteristic, complemented
191C43×#546C2211yescharacteristic, complemented
192C43×#495C2211yescharacteristic, complemented
193C43×#468C2211yescharacteristic, complemented
194C43×#468C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic, complemented
196C43×#463C2211yescharacteristic, complemented
197C43×#452C2211yescharacteristic, complemented
198C43×#452C2211yescharacteristic, complemented
199C43×#447C2211yescharacteristic, complemented
200C43×#447C2211yescharacteristic, complemented
201C4×D8×C43C2211yescharacteristic
202C43×#436C2211yescharacteristic, complemented
203C2×#10621900—21no—
204C2×#10621900—21no—
205C22×Dic86—21no—
206C22×C22⋊D43—21no—
207C22×C22⋊D43—21no—
208C2×D4×D43C2311yescharacteristic
209C2×D4×D43C2311yescharacteristic
210C23×Dic43—21no—
211C2×#10621884C2311yescharacteristic
212C2×#10621884C2311yescharacteristic
213C2×D344C2311yescharacteristic
214C2×#10621882C2311yescharacteristic
215C2×#10621882C2311yescharacteristic
216C2×#10621882C2311yescharacteristic
217C2×#10621882C2311yescharacteristic
218D8×D43—24no—
219C2×#10621877C2311yescharacteristic
220C2×#10621872C2311yescharacteristic
221C22×C43⋊C8C2311yescharacteristic
222C2×C8×D43C2311yescharacteristic
223#13063325C2311yescharacteristic
224#13063325C2311yescharacteristic
225#13063324C2311yescharacteristic
226#13063324C2311yescharacteristic
227#13063321C2311yescharacteristic
228#13063321C2311yescharacteristic
229#13063320—21no—
230#13063320—21no—
231#13063320—21no—
232#13063320—21no—
233#13063320D411yescharacteristic
234#13063318—21no—
235#13063318—21no—
236#13063318—21no—
237#13063318—21no—
238#13063318D411yescharacteristic
239#13063316—21no—
240#13063316C2311yescharacteristic
241#13063316C2311yescharacteristic
242#13063315D411yescharacteristic
243#13063314C2311yescharacteristic
244#13063314C2311yescharacteristic
245#13063312—21no—
246#13063311—21no—
247#13063311—21no—
248#13063311—21no—
249#13063311—21no—
250#13063311—21no—
251#13063311—21no—
252#13063311—21no—
253#13063311—21no—
254#13063311—21no—
255#13063311—21no—
256#13063311D411yescharacteristic
257#13063309—21no—
258#13063309—21no—
259#13063309—21no—
260#13063309—21no—
261#13063309—21no—
262#13063309—21no—
263#13063309—21no—
264#13063309—21no—
265#13063309—21no—
266#13063309—21no—
267#13063309D411yescharacteristic
268#13063308—21no—
269#13063308—21no—
270#13063307—21no—
271#13063307—21no—
272#13063307—21no—
273#13063307—21no—
274#13063306D411yescharacteristic
275#13063305—21no—
276#13063305—21no—
277#13063304—21no—
278#13063304—21no—
279#13063302—21no—
280#13063302—21no—
281#13063302—21no—
282#13063302—21no—
283#13063302—21no—
284#13063302—21no—
285#13063302D411yescharacteristic
286#13063301C2311yescharacteristic
287#13063301C2311yescharacteristic
288#13063299C2311yescharacteristic
289#13063299C2311yescharacteristic
290#13063299C2311yescharacteristic
291#13063299C2311yescharacteristic
292#13063297—21no—
293#13063297—21no—
294#13063297—21no—
295#13063297—21no—
296#13063297—21no—
297#13063297—21no—
298#13063297—21no—
299#13063297—21no—
300#13063297D411yescharacteristic
301#13063296—21no—
302#13063296—21no—
303#13063296C2311yescharacteristic
304#13063296C2311yescharacteristic
305#13063294—21no—
306#13063294—21no—
307#13063293—21no—
308#13063293—21no—
309#13063293—21no—
310#13063293—21no—
311Q8×Dic43C2311yescharacteristic
312Q8×Dic43C2311yescharacteristic
313Q8×Dic43C2311yescharacteristic
314Q8×Dic43C2311yescharacteristic
315C4×Dic86C2311yescharacteristic
316#13063290—21no—
317C4×D172C2311yescharacteristic
318C4×D172C2311yescharacteristic
319D4×Dic43—21no—
320D4×Dic43—21no—
321D4×Dic43—21no—
322D4×Dic43—21no—
323D4×Dic43—21no—
324D4×Dic43—21no—
325D4×Dic43—21no—
326D4×Dic43—21no—
327D4×Dic43—21no—
328D4×Dic43C2311yescharacteristic
329D4×Dic43C2311yescharacteristic
330D4×Dic43C2311yescharacteristic
331D4×Dic43C2311yescharacteristic
332D4×Dic43C2311yescharacteristic
333D4×Dic43C2311yescharacteristic
334D4×Dic43C2311yescharacteristic
335D4×Dic43C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338#13063287C2311yescharacteristic
339#13063287C2311yescharacteristic
340C4×C22⋊D43—21no—
341C4×C22⋊D43—21no—
342C4×C22⋊D43C2311yescharacteristic
343C4×C22⋊D43C2311yescharacteristic
344(C22⋊D43)⋊C4—21no—
345(C22⋊D43)⋊C4—21no—
346(C22⋊D43)⋊C4—21no—
347(C22⋊D43)⋊C4—21no—
348(C22⋊D43)⋊C4—21no—
349(C22⋊D43)⋊C4—21no—
350#13063284—21no—
351#13063284—21no—
352#13063284C2311yescharacteristic
353#13063284C2311yescharacteristic
354#13063284C2311yescharacteristic
355#13063283—21no—
356#13063283—21no—
357#13063283C2311yescharacteristic
358#13063283C2311yescharacteristic
359#13063282C2311yescharacteristic
360#13063281—21no—
361#13063281—21no—
362C2×C4⋊Dic43—21no—
363C2×C4⋊Dic43—21no—
364C2×C4⋊Dic43C2311yescharacteristic
365C2×C4⋊Dic43C2311yescharacteristic
366C2×C22⋊Dic43—21no—
367C2×C22⋊Dic43—21no—
368C2×C22⋊Dic43—21no—
369C2×(C2×D43)⋊C4—21no—
370C2×(C2×D43)⋊C4—21no—
371C2×(C2×D43)⋊C4—21no—
372C2×(C2×D43)⋊C4—21no—
373C22⋊C4×D43—21no—
374C22⋊C4×D43—21no—
375C2×C4×Dic43—21no—
376C2×C4×Dic43C2311yescharacteristic
377#13063259C2311yescharacteristic
378#13063259C2311yescharacteristic
379#13063259C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063258C2311yescharacteristic
382#13063257C2311yescharacteristic
383#13063257C2311yescharacteristic
384#13063257C2311yescharacteristic
385#13063257C2311yescharacteristic
386#13063257C2311yescharacteristic
387#13063257C2311yescharacteristic
388#13063256C2311yescharacteristic
389#13063256C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
392C4⋊(C43⋊C8)C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397#13063249C2311yescharacteristic
398#13063249C2311yescharacteristic
399#13063249C2311yescharacteristic
400#13063249C2311yescharacteristic
401#13063249C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063247C2311yescharacteristic
404#13063247C2311yescharacteristic
405#13063247C2311yescharacteristic
406#13063247C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063246C2311yescharacteristic
410#13063246C2311yescharacteristic
411#13063246C2311yescharacteristic
412#13063246C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427#13063236C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C2×#41×C43C2311yescharacteristic
437C2×#41×C43C2311yescharacteristic
438C22×D4×C43C2311yescharacteristic
439C22×D4×C43C2311yescharacteristic
440AGL(1,ℤ/8)×C43—24no—
441AGL(1,ℤ/8)×C43—24no—
442C2×Q16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C2×SD16×C43C2311yescharacteristic
445C2×SD16×C43C2311yescharacteristic
446C2×SD16×C43C2311yescharacteristic
447C2×D8×C43C2311yescharacteristic
448C2×D8×C43C2311yescharacteristic
449C2×D8×C43C2311yescharacteristic
450C2×D8×C43C2311yescharacteristic
451C2×M16×C43C2311yescharacteristic
452C2×M16×C43C2311yescharacteristic
453#124×C43C2311yescharacteristic
454#124×C43C2311yescharacteristic
455#123×C43—21no—
456#123×C43—21no—
457C22⋊Q8×C43C2311yescharacteristic
458C22⋊Q8×C43C2311yescharacteristic
459#121×C43—21no—
460#121×C43—21no—
461#121×C43C2311yescharacteristic
462#121×C43C2311yescharacteristic
463#120×C43—21no—
464#120×C43—21no—
465C4×D4×C43C2311yescharacteristic
466C4×D4×C43C2311yescharacteristic
467C4×D4×C43C2311yescharacteristic
468C2×C22⋊C4×C43—21no—
469C2×C22⋊C4×C43—21no—
470#107×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C24×C43—21no—
482C24×C43—21no—
483C23×D43—21no—
484C23×D43—21no—
485#41×C43—22no—
486#41×C43—22no—
487#41×C43—41no—
488#41×C43—41no—
489C2×Q8×C43C2411yescharacteristic
490C2×Q8×C43C2411yescharacteristic
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43—21no—
494C2×D4×C43—21no—
495C2×D4×C43—21no—
496C2×D4×C43—21no—
497C2×D4×C43—22no—
498C2×D4×C43—22no—
499C2×D4×C43—41no—
500C2×D4×C43—41no—
501C2×D4×C43C2×D411yescharacteristic
502C2×D4×C43C2411yescharacteristic
503C2×D4×C43C2411yescharacteristic
504C2×D4×C43C2411yescharacteristic
505C2×D4×C43C2411yescharacteristic
506C22×C4×C43—21no—
507C22×C4×C43—21no—
508C22×C4×C43—21no—
509C22×C4×C43—21no—
510C22×C4×C43C2411yescharacteristic
511C22×C4×C43C2411yescharacteristic
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43—21no—
520C2×C22⋊D43—21no—
521C2×C22⋊D43—21no—
522C2×C22⋊D43—21no—
523C2×C22⋊D43—21no—
524C2×C22⋊D43—82no—
525C2×C22⋊D43—82no—
526C2×C22⋊D43C2×D411yescharacteristic
527C2×C22⋊D43C2×D411yescharacteristic
528C22×Dic43—21no—
529C22×Dic43—21no—
530C22×Dic43—21no—
531C22×Dic43—21no—
532C22×Dic43—21no—
533C22×Dic43—21no—
534C22×Dic43—21no—
535C22×Dic43—21no—
536C22×Dic43—21no—
537C22×Dic43—21no—
538C22×Dic43—21no—
539C22×Dic43—21no—
540C22×Dic43—82no—
541C22×Dic43C2×D411yescharacteristic
542C22×Dic43C2×D411yescharacteristic
543#10621900—82no—
544#10621900—82no—
545D4×D43—22no—
546D4×D43—22no—
547D4×D43—41no—
548D4×D43—41no—
549C2×D172C2411yescharacteristic
550C2×D172C2411yescharacteristic
551C2×C4×D43—21no—
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43—21no—
555C2×C4×D43C2411yescharacteristic
556C2×Dic86—21no—
557C2×Dic86—21no—
558C2×Dic86—21no—
559C2×Dic86—21no—
560C2×Dic86—82no—
561C2×Dic86C2×D411yescharacteristic
562Q16×C43—41no—
563SD16×C43—22no—
564SD16×C43—22no—
565SD16×C43—22no—
566SD16×C43—22no—
567D8×C43—22no—
568D8×C43—22no—
569D8×C43—41no—
570D8×C43#4114yescomplemented
571M16×C43—22no—
572M16×C43—22no—
573C2×C8×C43C2411yescharacteristic
574C2×C8×C43C2411yescharacteristic
575C2×C8×C43C2411yescharacteristic
576C2×C8×C43C2411yescharacteristic
577C4⋊C4×C43—21no—
578C4⋊C4×C43—21no—
579C4⋊C4×C43C2×D411yescharacteristic
580C4⋊C4×C43C2411yescharacteristic
581C4⋊C4×C43C2411yescharacteristic
582C22⋊C4×C43—21no—
583C22⋊C4×C43—21no—
584C22⋊C4×C43—21no—
585C22⋊C4×C43—21no—
586C22⋊C4×C43—21no—
587C22⋊C4×C43—21no—
588C22⋊C4×C43—21no—
589C22⋊C4×C43—21no—
590C22⋊C4×C43—21no—
591C22⋊C4×C43—21no—
592C22⋊C4×C43C2×D411yescharacteristic
593C22⋊C4×C43C2×D411yescharacteristic
594C42×C43C2411yescharacteristic
595C22⋊Dic43—21no—
596C22⋊Dic43—21no—
597C22⋊Dic43—21no—
598C22⋊Dic43—21no—
599C22⋊Dic43—21no—
600C22⋊Dic43—21no—
601C22⋊Dic43—21no—
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607C22⋊Dic43—21no—
608C22⋊Dic43—21no—
609C22⋊Dic43C2×D411yescharacteristic
610C22⋊Dic43C2×D411yescharacteristic
611C22⋊Dic43C2×D411yescharacteristic
612C22⋊Dic43C2×D411yescharacteristic
613#10621884—41no—
614#10621884—41no—
615#10621882—22no—
616#10621882—22no—
617#10621882—41no—
618#10621882—41no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4—21no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4—21no—
635(C2×D43)⋊C4C2×D411yescharacteristic
636(C2×D43)⋊C4C2×D411yescharacteristic
637(C2×D43)⋊C4C2×D411yescharacteristic
638(C2×D43)⋊C4C2×D411yescharacteristic
639C4⋊Dic43—21no—
640C4⋊Dic43—21no—
641C4⋊Dic43—21no—
642C4⋊Dic43—21no—
643C4⋊Dic43—21no—
644C4⋊Dic43—21no—
645C4⋊Dic43—21no—
646C4⋊Dic43—21no—
647C4⋊Dic43—21no—
648C4⋊Dic43—21no—
649C4⋊Dic43C2×D411yescharacteristic
650C4⋊Dic43C2×D411yescharacteristic
651C4⋊Dic43C2×D411yescharacteristic
652C4⋊Dic43C2411yescharacteristic
653C4⋊Dic43C2411yescharacteristic
654C4⋊Dic43C2411yescharacteristic
655C4⋊Dic43C2411yescharacteristic
656C4⋊Dic43C2411yescharacteristic
657C4⋊Dic43C2411yescharacteristic
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4C2×D411yescharacteristic
665Dic43⋊C4C2×D411yescharacteristic
666Dic43⋊C4C2×D411yescharacteristic
667Dic43⋊C4C2×D411yescharacteristic
668Dic43⋊C4C2×D411yescharacteristic
669Dic43⋊C4C2×D411yescharacteristic
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43—21no—
676C4×Dic43—21no—
677C4×Dic43—21no—
678C4×Dic43C2×D411yescharacteristic
679C4×Dic43C2×D411yescharacteristic
680C4×Dic43C2411yescharacteristic
681C4×Dic43C2411yescharacteristic
682C4×Dic43C2411yescharacteristic
683#10621877—41no—
684C2×C43⋊C8—41no—
685C2×C43⋊C8C2411yescharacteristic
686C2×C43⋊C8C2411yescharacteristic
687C2×C43⋊C8C2411yescharacteristic
688C2×C43⋊C8C2411yescharacteristic
689D344—22no—
690#10621872—41no—
691C8×D43—22no—
692C23×C43—21no—
693C23×C43—21no—
694C23×C43—21no—
695C23×C43—21no—
696C23×C43—42no—
697C23×C43—42no—
698C23×C43—42no—
699C23×C43—81no—
700C23×C43—81no—
701C23×C43—81no—
702C23×C43C22×D411yescharacteristic
703C23×C43C22×D411yescharacteristic
704C22×D43—21no—
705C22×D43—21no—
706C22×D43—42no—
707C22×D43—42no—
708C22×D43—81no—
709C22×D43—81no—
710C22×D43—81no—
711C22×D43—81no—
712C22×D43C22×D411yescharacteristic
713Q8×C43—21no—
714Q8×C43—21no—
715Q8×C43—21no—
716Q8×C43—21no—
717D4×C43—21no—
718D4×C43—21no—
719D4×C43—21no—
720D4×C43—21no—
721D4×C43—21no—
722D4×C43—21no—
723D4×C43—41no—
724D4×C43—42no—
725D4×C43—42no—
726D4×C43—42no—
727D4×C43—42no—
728D4×C43—81no—
729D4×C43—81no—
730D4×C43C2×#4112yes—
731D4×C43C2×#4112yes—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—21no—
737C2×C4×C43—21no—
738C2×C4×C43—21no—
739C2×C4×C43—21no—
740C2×C4×C43—42no—
741C2×C4×C43—42no—
742C2×C4×C43—81no—
743C2×C4×C43—81no—
744C2×C4×C43C22×D411yescharacteristic
745C2×C4×C43C22×D411yescharacteristic
746C2×C4×C43C22×D411yescharacteristic
747C2×C4×C43C22×D411yescharacteristic
748C2×C4×C43C2511yescharacteristic
749C22⋊D43—41no—
750C22⋊D43—41no—
751C22⋊D43—42no—
752C22⋊D43—42no—
753C22⋊D43—42no—
754C22⋊D43—42no—
755C22⋊D43—81no—
756C22⋊D43—81no—
757C22⋊D43—81no—
758C22⋊D43—81no—
759C22⋊D43—81no—
760C22⋊D43—81no—
761C22⋊D43—81no—
762C22⋊D43—81no—
763C2×Dic43—21no—
764C2×Dic43—21no—
765C2×Dic43—21no—
766C2×Dic43—21no—
767C2×Dic43—21no—
768C2×Dic43—21no—
769C2×Dic43—41no—
770C2×Dic43—41no—
771C2×Dic43—42no—
772C2×Dic43—42no—
773C2×Dic43—81no—
774C2×Dic43—81no—
775C2×Dic43—81no—
776C2×Dic43—81no—
777C2×Dic43—81no—
778C2×Dic43—81no—
779C2×Dic43—81no—
780C2×Dic43—81no—
781C2×Dic43—81no—
782C2×Dic43—81no—
783C2×Dic43C22×D411yescharacteristic
784C2×Dic43C22×D411yescharacteristic
785C2×Dic43C22×D411yescharacteristic
786C2×Dic43C22×D411yescharacteristic
787C2×Dic43C22×D411yescharacteristic
788C2×Dic43C22×D411yescharacteristic
789C2×Dic43C22×D411yescharacteristic
790D172—21no—
791D172—21no—
792D172—21no—
793D172—21no—
794C4×D43—21no—
795C4×D43—21no—
796C4×D43—81no—
797C4×D43—81no—
798C4×D43—81no—
799C4×D43—81no—
800Dic86—41no—
801Dic86—42no—
802Dic86—81no—
803Dic86—81no—
804Dic86—81no—
805C8×C43—21no—
806C8×C43—21no—
807C8×C43—21no—
808C8×C43C2×#4112yes—
809C43⋊C8—21no—
810C43⋊C8—21no—
811C43⋊C8—21no—
812C43⋊C8—21no—
813#61505—431nomaximal, Sylow
814C22×C43—21no—
815C22×C43—21no—
816C22×C43—21no—
817C22×C43—21no—
818C22×C43—22no—
819C22×C43—22no—
820C22×C43—21no—
821C22×C43—21no—
822C22×C43—41no—
823C22×C43—41no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43—41no—
830C22×C43—41no—
831C22×C43—41no—
832C22×C43—84no—
833C22×C43—162no—
834C22×C43C23×D411yescharacteristic
835C2×D43—21no—
836C2×D43—21no—
837C2×D43—21no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—41no—
844C2×D43—162no—
845C2×D43—162no—
846C4×C43—21no—
847C4×C43—21no—
848C4×C43—21no—
849C4×C43—21no—
850C4×C43—41no—
851C4×C43—41no—
852C4×C43—41no—
853C4×C43—41no—
854C4×C43C22×#4111yescharacteristic
855C4×C43#58511yescharacteristic
856Dic43—21no—
857Dic43—21no—
858Dic43—21no—
859Dic43—21no—
860Dic43—21no—
861Dic43—21no—
862Dic43—21no—
863Dic43—41no—
864Dic43—41no—
865Dic43—41no—
866Dic43—41no—
867Dic43—41no—
868Dic43—41no—
869#3514—431no—
870#3513—431no—
871#3403—431no—
872#3384—431no—
873#3373—431no—
874#3370—431no—
875#3354—431no—
876#3350—431no—
877#3348—431no—
878#3325—431no—
879#3323—431no—
880#3319—431no—
881#3318—431no—
882#3311—431no—
883#3306—431no—
884#3273D4311yescharacteristic, complemented
885#3264—431no—
886#3264—431no—
887#3179—431no—
888#3173—431no—
889#3171—431no—
890#3125—431no—
891#3122—431no—
892#3118—431no—
893#3118—431no—
894#3111—431no—
895#3109—431no—
896#2967—431no—
897#2948—431no—
898#2946—431no—
899C4×AGL(1,ℤ/8)—431no—
900C2×C43—42no—
901C2×C43—42no—
902C2×C43—41no—
903C2×C43—41no—
904C2×C43—81no—
905C2×C43—81no—
906C2×C43D4×#4111yescharacteristic
907C2×C43#358511yescharacteristic
908C2×C43#358511yescharacteristic
909D43—41no—
910D43—81no—
911D43—81no—
912C2×AGL(1,ℤ/8)C2×D4311yescharacteristic
913C2×AGL(1,ℤ/8)C2×D4311yescharacteristic
914C22×D8—431no—
915#559—431no—
916#559—431no—
917#556—431no—
918#555—431no—
919#555—431no—
920#554—431no—
921#553—431no—
922#553—861no—
923#552—431no—
924#551—861no—
925#551—861no—
926#551—861no—
927#551—861no—
928D4×Q8—431no—
929#548—861no—
930#547—431no—
931#546—431no—
932#546—431no—
933#546—861no—
934#546—861no—
935#546C2×D4311yescharacteristic, complemented
936#546C2×D4311yescharacteristic, complemented
937D42—431no—
938D42—431no—
939#542—431no—
940#542—431no—
941#542—431no—
942#540—431no—
943#539—861no—
944#538—861no—
945#538—861no—
946#538—861no—
947#532—431no—
948#529—431no—
949#529—431no—
950#529—861no—
951C2×#124—861no—
952#525—861no—
953C2×#123—861no—
954#520—431no—
955#518—431no—
956#518—431no—
957#518—431no—
958C4×#41—431no—
959C2×C4×D4—431no—
960#501—431no—
961#501—431no—
962#498—431no—
963#496—431no—
964#496—431no—
965#495C2×D4311yescharacteristic, complemented
966#490—431no—
967#489—431no—
968#489—431no—
969#489—431no—
970#488—431no—
971#486—431no—
972#485—431no—
973#485—431no—
974#485—431no—
975#483—431no—
976#482—431no—
977#482—431no—
978#482—431no—
979#482—431no—
980#482—431no—
981#481—431no—
982#481—431no—
983#481—431no—
984#479—431no—
985#478—431no—
986#478—431no—
987#478—431no—
988#476—431no—
989#476—431no—
990#476—431no—
991#476—431no—
992#476—431no—
993#475—431no—
994#474—431no—
995#474—431no—
996#470—431no—
997#469—431no—
998#469—431no—
999#469—431no—
1000#469—431no—
1001#468—431no—
1002#468C2×D4311yescharacteristic, complemented
1003#468C2×D4311yescharacteristic, complemented
1004#466—431no—
1005#465—431no—
1006#465—431no—
1007#465—431no—
1008#464—431no—
1009#464—431no—
1010#463—431no—
1011#463—431no—
1012#463—431no—
1013#463—431no—
1014#463C2×D4311yescharacteristic, complemented
1015#463C2×D4311yescharacteristic, complemented
1016#459—431no—
1017#459—431no—
1018#459—431no—
1019#459—431no—
1020#452C2×D4311yescharacteristic, complemented
1021#452C2×D4311yescharacteristic, complemented
1022#450—431no—
1023#450—431no—
1024#449—431no—
1025#449—431no—
1026#447—431no—
1027#447—431no—
1028#447—431no—
1029#447—431no—
1030#447C2×D4311yescharacteristic, complemented
1031#447C2×D4311yescharacteristic, complemented
1032#446—431no—
1033#446—431no—
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442—431no—
1040#442—431no—
1041#442—431no—
1042#442—431no—
1043#442—431no—
1044#441—431no—
1045#440—431no—
1046#440—431no—
1047#440—431no—
1048#440—431no—
1049#440—431no—
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8—431no—
1060C4×D8—431no—
1061C4×D8C2×D4311yescharacteristic
1062#436—431no—
1063#436C2×D4311yescharacteristic, complemented
1064#435—431no—
1065#435—431no—
1066#435—431no—
1067#435—431no—
1068#433—431no—
1069#433—431no—
1070#432—431no—
1071#428—431no—
1072#428—431no—
1073#427—431no—
1074#418—431no—
1075#418—431no—
1076#418—431no—
1077#417—431no—
1078#416—431no—
1079C2×#102—431no—
1080#405—431no—
1081#405—431no—
1082C4×M16—431no—
1083C43#6150511yescharacteristic, complemented, Sylow
1084C2×#41—861no—
1085C2×#41—861no—
1086C2×#41C22×D4311yescharacteristic
1087C2×#41C22×D4311yescharacteristic
1088C22×Q8—861no—
1089C22×D4—431no—
1090C22×D4—431no—
1091C22×D4—861no—
1092C22×D4—861no—
1093C22×D4C22×D4311yescharacteristic
1094C22×D4C22×D4311yescharacteristic
1095C23×C4—861no—
1096AGL(1,ℤ/8)—24no—
1097AGL(1,ℤ/8)—24no—
1098C2×Q16C22×D4311yescharacteristic
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16C22×D4311yescharacteristic
1102C2×SD16C22×D4311yescharacteristic
1103C2×SD16C22×D4311yescharacteristic
1104C2×SD16C22×D4311yescharacteristic
1105C2×D8—431no—
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8—431no—
1109C2×D8—431no—
1110C2×D8—864no—
1111C2×D8C22×D4311yescharacteristic
1112C2×D8C22×D4311yescharacteristic
1113C2×D8C22×D4311yescharacteristic
1114C2×D8C22×D4311yescharacteristic
1115C2×M16—431no—
1116C2×M16—431no—
1117C2×M16C22×D4311yescharacteristic
1118C2×M16C22×D4311yescharacteristic
1119C22×C8—431no—
1120C22×C8—431no—
1121C4⋊Q8—431no—
1122C4⋊Q8—431no—
1123C4⋊Q8—431no—
1124C4⋊Q8—431no—
1125#127—431no—
1126#127—431no—
1127#126—431no—
1128#126—431no—
1129#126—861no—
1130#126—861no—
1131#126—861no—
1132#126—861no—
1133#126—861no—
1134#126—861no—
1135#126—861no—
1136#126—861no—
1137#125—431no—
1138#125—431no—
1139#125—431no—
1140#125—861no—
1141#124—431no—
1142#124—431no—
1143#124—431no—
1144#124—861no—
1145#124—861no—
1146#124—861no—
1147#124—861no—
1148#124—861no—
1149#124—861no—
1150#124—861no—
1151#124—861no—
1152#124—861no—
1153#124—861no—
1154#124—861no—
1155#124C22×D4311yescharacteristic
1156#124C22×D4311yescharacteristic
1157#123—21no—
1158#123—21no—
1159#123—431no—
1160#123—431no—
1161#123—861no—
1162#123—861no—
1163#123—861no—
1164#123—861no—
1165#123—861no—
1166#123—861no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170#123—861no—
1171#123—861no—
1172#123—861no—
1173#123—861no—
1174#123—861no—
1175#123—861no—
1176#123—861no—
1177C22⋊Q8—431no—
1178C22⋊Q8—431no—
1179C22⋊Q8—431no—
1180C22⋊Q8—861no—
1181C22⋊Q8—861no—
1182C22⋊Q8—861no—
1183C22⋊Q8—861no—
1184C22⋊Q8—861no—
1185C22⋊Q8—861no—
1186C22⋊Q8—861no—
1187C22⋊Q8—861no—
1188C22⋊Q8—861no—
1189C22⋊Q8—861no—
1190C22⋊Q8C22×D4311yescharacteristic
1191C22⋊Q8C22×D4311yescharacteristic
1192#121—21no—
1193#121—21no—
1194#121—431no—
1195#121—431no—
1196#121—431no—
1197#121—431no—
1198#121—431no—
1199#121—431no—
1200#121—431no—
1201#121—861no—
1202#121—861no—
1203#121—861no—
1204#121—861no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#121—861no—
1210#121—861no—
1211#121C22×D4311yescharacteristic
1212#121C22×D4311yescharacteristic
1213#120—21no—
1214#120—21no—
1215#120—861no—
1216#120—861no—
1217#120—861no—
1218#120—861no—
1219#120—861no—
1220#120—861no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—431no—
1225C4×Q8—431no—
1226C4×Q8—861no—
1227C4×D4—431no—
1228C4×D4—431no—
1229C4×D4—431no—
1230C4×D4—431no—
1231C4×D4—431no—
1232C4×D4—431no—
1233C4×D4—431no—
1234C4×D4—431no—
1235C4×D4—431no—
1236C4×D4—431no—
1237C4×D4—431no—
1238C4×D4—431no—
1239C4×D4—431no—
1240C4×D4—431no—
1241C4×D4—431no—
1242C4×D4—431no—
1243C4×D4—861no—
1244C4×D4—861no—
1245C4×D4—861no—
1246C4×D4—861no—
1247C4×D4—861no—
1248C4×D4—861no—
1249C4×D4—861no—
1250C4×D4—861no—
1251C4×D4—861no—
1252C4×D4—861no—
1253C4×D4—861no—
1254C4×D4—861no—
1255C4×D4—861no—
1256C4×D4—861no—
1257C4×D4—861no—
1258C4×D4—861no—
1259C4×D4—861no—
1260C4×D4C22×D4311yescharacteristic
1261C4×D4C22×D4311yescharacteristic
1262C4×D4C22×D4311yescharacteristic
1263#117—431no—
1264#117—431no—
1265#117—431no—
1266#117—431no—
1267#117—431no—
1268#117—431no—
1269#117—861no—
1270#117—861no—
1271#117—861no—
1272#117—861no—
1273#117—861no—
1274#117—861no—
1275C2×C4⋊C4—431no—
1276C2×C4⋊C4—431no—
1277C2×C4⋊C4—861no—
1278C2×C4⋊C4—861no—
1279C2×C22⋊C4—21no—
1280C2×C22⋊C4—21no—
1281C2×C22⋊C4—861no—
1282C2×C22⋊C4—861no—
1283C2×C22⋊C4—861no—
1284C2×C22⋊C4—861no—
1285C2×C22⋊C4—861no—
1286C2×C22⋊C4—861no—
1287C2×C22⋊C4—861no—
1288C2×C22⋊C4—861no—
1289C2×C22⋊C4—861no—
1290C2×C42—431no—
1291C2×C42—861no—
1292#107—431no—
1293#107—431no—
1294#107—431no—
1295#107—431no—
1296#107—431no—
1297#107C22×D4311yescharacteristic
1298#106—431no—
1299#106—431no—
1300#106—431no—
1301#106—431no—
1302#106—431no—
1303#106—431no—
1304#106—431no—
1305#106—431no—
1306#106—431no—
1307#106—431no—
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8—431no—
1311C4⋊C8—431no—
1312C4⋊C8—431no—
1313C4⋊C8C22×D4311yescharacteristic
1314#103—431no—
1315#103—431no—
1316#103—431no—
1317#103—431no—
1318#103—431no—
1319#103—431no—
1320#103C22×D4311yescharacteristic
1321#103C22×D4311yescharacteristic
1322#102—431no—
1323#102—431no—
1324#102—431no—
1325#102—431no—
1326#102—431no—
1327#102—431no—
1328#102—431no—
1329#102—431no—
1330#102—431no—
1331#102—431no—
1332#102—431no—
1333#102—431no—
1334#102—431no—
1335#102—431no—
1336#102—431no—
1337#102—431no—
1338#102—431no—
1339#102—431no—
1340#102—431no—
1341#102—431no—
1342#102C22×D4311yescharacteristic
1343#102C22×D4311yescharacteristic
1344#102C22×D4311yescharacteristic
1345#102C22×D4311yescharacteristic
1346C22⋊C8—431no—
1347C22⋊C8—431no—
1348C22⋊C8—431no—
1349C22⋊C8—431no—
1350C22⋊C8C22×D4311yescharacteristic
1351C22⋊C8C22×D4311yescharacteristic
1352#97—431no—
1353#97—431no—
1354#97—431no—
1355#97—431no—
1356#97—431no—
1357#97—431no—
1358C4×C8—431no—
1359C4×C8—431no—
1360C4×C8—431no—
1361C4×C8C22×D4311yescharacteristic
1362C24—21no—
1363C24—21no—
1364C24—861no—
1365C24—861no—
1366#41—22no—
1367#41—22no—
1368#41—41no—
1369#41—41no—
1370#41—3442no—
1371#41—3442no—
1372C2×Q8—431no—
1373C2×Q8—861no—
1374C2×Q8—861no—
1375C2×Q8—861no—
1376C2×Q8—861no—
1377C2×Q8—3442no—
1378C2×Q8C23×D4311yescharacteristic
1379C2×Q8C23×D4311yescharacteristic
1380C2×D4—22no—
1381C2×D4—22no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—41no—
1389C2×D4—41no—
1390C2×D4—431no—
1391C2×D4—431no—
1392C2×D4—431no—
1393C2×D4—431no—
1394C2×D4—861no—
1395C2×D4—861no—
1396C2×D4—861no—
1397C2×D4—861no—
1398C2×D4—861no—
1399C2×D4—861no—
1400C2×D4—862no—
1401C2×D4—862no—
1402C2×D4—861no—
1403C2×D4—861no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—3442no—
1409C2×D4—3442no—
1410C2×D4—1721no—
1411C2×D4—1721no—
1412C2×D4D4×D4311yescharacteristic
1413C2×D4C23×D4311yescharacteristic
1414C2×D4C23×D4311yescharacteristic
1415C2×D4C23×D4311yescharacteristic
1416C2×D4C23×D4311yescharacteristic
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—431no—
1422C22×C4—431no—
1423C22×C4—431no—
1424C22×C4—861no—
1425C22×C4—861no—
1426C22×C4—861no—
1427C22×C4—861no—
1428C22×C4—861no—
1429C22×C4—861no—
1430C22×C4—861no—
1431C22×C4—861no—
1432C22×C4—861no—
1433C22×C4—861no—
1434C22×C4—861no—
1435C22×C4—861no—
1436C22×C4—861no—
1437C22×C4—861no—
1438C22×C4—861no—
1439C22×C4—861no—
1440C22×C4—3442no—
1441C22×C4C23×D4311yescharacteristic
1442C22×C4C23×D4311yescharacteristic
1443Q16—41no—
1444SD16—22no—
1445SD16—22no—
1446SD16—22no—
1447SD16—22no—
1448SD16—1721no—
1449SD16—1721no—
1450D8—22no—
1451D8—22no—
1452D8—41no—
1453D8—862no—
1454D8—862no—
1455D8—862no—
1456D8—1721no—
1457D8—1721no—
1458D8#1062190014yescomplemented
1459M16—22no—
1460M16—22no—
1461M16—1721no—
1462M16—1721no—
1463C2×C8—431no—
1464C2×C8—431no—
1465C2×C8—431no—
1466C2×C8—431no—
1467C2×C8—862no—
1468C2×C8—1721no—
1469C2×C8C23×D4311yescharacteristic
1470C2×C8C23×D4311yescharacteristic
1471C2×C8C23×D4311yescharacteristic
1472C2×C8C23×D4311yescharacteristic
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—431no—
1476C4⋊C4—431no—
1477C4⋊C4—431no—
1478C4⋊C4—431no—
1479C4⋊C4—431no—
1480C4⋊C4—431no—
1481C4⋊C4—431no—
1482C4⋊C4—431no—
1483C4⋊C4—431no—
1484C4⋊C4—431no—
1485C4⋊C4—431no—
1486C4⋊C4—431no—
1487C4⋊C4—431no—
1488C4⋊C4—431no—
1489C4⋊C4—431no—
1490C4⋊C4—861no—
1491C4⋊C4—861no—
1492C4⋊C4—861no—
1493C4⋊C4—861no—
1494C4⋊C4—861no—
1495C4⋊C4—861no—
1496C4⋊C4—861no—
1497C4⋊C4—861no—
1498C4⋊C4—861no—
1499C4⋊C4—861no—
1500C4⋊C4—861no—
1501C4⋊C4—861no—
1502C4⋊C4—861no—
1503C4⋊C4—861no—
1504C4⋊C4—861no—
1505C4⋊C4—861no—
1506C4⋊C4D4×D4311yescharacteristic
1507C4⋊C4C23×D4311yescharacteristic
1508C4⋊C4C23×D4311yescharacteristic
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—431no—
1520C22⋊C4—431no—
1521C22⋊C4—431no—
1522C22⋊C4—431no—
1523C22⋊C4—431no—
1524C22⋊C4—431no—
1525C22⋊C4—431no—
1526C22⋊C4—431no—
1527C22⋊C4—861no—
1528C22⋊C4—861no—
1529C22⋊C4—861no—
1530C22⋊C4—861no—
1531C22⋊C4—861no—
1532C22⋊C4—861no—
1533C22⋊C4—861no—
1534C22⋊C4—861no—
1535C22⋊C4—861no—
1536C22⋊C4—861no—
1537C22⋊C4—861no—
1538C22⋊C4—861no—
1539C22⋊C4—861no—
1540C22⋊C4—861no—
1541C22⋊C4—861no—
1542C22⋊C4—861no—
1543C22⋊C4—861no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4—861no—
1547C22⋊C4—861no—
1548C22⋊C4—861no—
1549C22⋊C4—861no—
1550C22⋊C4—861no—
1551C22⋊C4—861no—
1552C22⋊C4—861no—
1553C22⋊C4—861no—
1554C22⋊C4—861no—
1555C22⋊C4—861no—
1556C22⋊C4—861no—
1557C22⋊C4D4×D4311yescharacteristic
1558C22⋊C4D4×D4311yescharacteristic
1559C42—431no—
1560C42—431no—
1561C42—431no—
1562C42—431no—
1563C42—431no—
1564C42—861no—
1565C42—861no—
1566C42—861no—
1567C42—861no—
1568C42—861no—
1569C42—861no—
1570C42—861no—
1571C42—861no—
1572C42C23×D4311yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—42no—
1578C23—42no—
1579C23—42no—
1580C23—81no—
1581C23—81no—
1582C23—81no—
1583C23—431no—
1584C23—861no—
1585C23—861no—
1586C23—3441no—
1587C23—3441no—
1588C23—3441no—
1589C23—3441no—
1590C23—1722no—
1591C23—1722no—
1592C23C2×D4×D4311yescharacteristic
1593C23C2×D4×D4311yescharacteristic
1594Q8—21no—
1595Q8—21no—
1596Q8—21no—
1597Q8—21no—
1598Q8—3441no—
1599Q8—3441no—
1600Q8—3441no—
1601Q8—1721no—
1602Q8—1722no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—21no—
1607D4—21no—
1608D4—21no—
1609D4—41no—
1610D4—42no—
1611D4—42no—
1612D4—42no—
1613D4—42no—
1614D4—81no—
1615D4—81no—
1616D4—861no—
1617D4—861no—
1618D4—861no—
1619D4—861no—
1620D4—3441no—
1621D4—3441no—
1622D4—3441no—
1623D4—3441no—
1624D4—3441no—
1625D4—3441no—
1626D4—3441no—
1627D4—3441no—
1628D4—1721no—
1629D4—1721no—
1630D4—1722no—
1631D4—1722no—
1632D4—1722no—
1633D4—1722no—
1634D4C2×#1062190012yes—
1635D4C2×#1062190012yes—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—42no—
1645C2×C4—42no—
1646C2×C4—81no—
1647C2×C4—81no—
1648C2×C4—431no—
1649C2×C4—431no—
1650C2×C4—431no—
1651C2×C4—431no—
1652C2×C4—431no—
1653C2×C4—431no—
1654C2×C4—431no—
1655C2×C4—861no—
1656C2×C4—861no—
1657C2×C4—861no—
1658C2×C4—861no—
1659C2×C4—861no—
1660C2×C4—861no—
1661C2×C4—861no—
1662C2×C4—861no—
1663C2×C4—3441no—
1664C2×C4—3441no—
1665C2×C4—3441no—
1666C2×C4—3441no—
1667C2×C4—3441no—
1668C2×C4—3441no—
1669C2×C4—3441no—
1670C2×C4—3441no—
1671C2×C4—3441no—
1672C2×C4—3441no—
1673C2×C4—3441no—
1674C2×C4—3441no—
1675C2×C4—3441no—
1676C2×C4—3441no—
1677C2×C4—1721no—
1678C2×C4—1721no—
1679C2×C4—1722no—
1680C2×C4—1722no—
1681C2×C4C2×D4×D4311yescharacteristic
1682C2×C4C2×D4×D4311yescharacteristic
1683C2×C4C2×D4×D4311yescharacteristic
1684C2×C4C2×D4×D4311yescharacteristic
1685C2×C4C24×D4311yescharacteristic
1686C8—21no—
1687C8—21no—
1688C8—21no—
1689C8—861no—
1690C8—861no—
1691C8—861no—
1692C8—861no—
1693C8C2×#1062190012yes—
1694C22—21no—
1695C22—21no—
1696C22—22no—
1697C22—22no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—84no—
1713C22—162no—
1714C22—861no—
1715C22—861no—
1716C22—861no—
1717C22—1721no—
1718C22—1721no—
1719C22—1721no—
1720C22—1721no—
1721C22—1721no—
1722C22—1721no—
1723C22—6882no—
1724C22—6882no—
1725C22C22×D4×D4311yescharacteristic
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—861no—
1735C4—861no—
1736C4—861no—
1737C4—861no—
1738C4—861no—
1739C4—861no—
1740C4—861no—
1741C4—1721no—
1742C4—1721no—
1743C4—1721no—
1744C4—1721no—
1745C4—1721no—
1746C4—1721no—
1747C4C22×#1062190011yescharacteristic
1748C4#1458373411yescharacteristic
1749C2—41no—
1750C2—41no—
1751C2—42no—
1752C2—42no—
1753C2—81no—
1754C2—81no—
1755C2—3441no—
1756C2—3441no—
1757C2—1721no—
1758C2D4×#1062190011yescharacteristic
1759C2#1914937011yescharacteristic
1760C2#1914937211yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3273C2
socleC22×C43C23×D4
hypercenter#3273D43
hypocenterC43#61505
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3273

Complements

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

NH ≅ G/Ntype
1. #19148543C2semidirect
2. #19148536C2semidirect
3. #19147686C2semidirect
4. #19147492C2semidirect
5. #19147382C2semidirect
6. #19147345C2semidirect
7. #19147191C2semidirect
8. #19147135C2semidirect
9. #19147105C2semidirect
10. #19146830C2semidirect
11. #19146804C2semidirect
12. #19146751C2semidirect
13. #19146740C2semidirect
14. #19146635C2semidirect
15. #19146556C2semidirect
16. #19146069C2semidirect
17. #19146069C2semidirect
18. #19145271C2semidirect
19. #19145209C2semidirect
20. #19145183C2semidirect
21. #19144865C2semidirect
22. #19144832C2semidirect
23. #19144778C2semidirect
24. #19144776C2semidirect
25. #19144705C2semidirect
26. #19144681C2semidirect
27. #19143581C2semidirect
28. #19143442C2semidirect
29. #19143428C2semidirect
30. AGL(1,ℤ/8)×Dic43C2semidirect
31. C43×#3273C2semidirect
33. #14583631C22semidirect
34. #14583631C22semidirect
35. #14583620C22semidirect
36. #14583614C22semidirect
38. #14583606C22semidirect
41. #14583591C22semidirect
46. D4×Dic86C22semidirect
48. #14583553C22semidirect
53. D4×C22⋊D43C22semidirect
54. D4×C22⋊D43C22semidirect
55. #14583522C22semidirect
56. #14583518C22semidirect
57. #14583518C22semidirect
58. #14583502C22semidirect
63. #14583444C22semidirect
64. #14583435C22semidirect
70. #14583382C22semidirect
71. #14583374C22semidirect
72. #14583371C22semidirect
73. #14583371C22semidirect
74. #41×Dic43C22semidirect
75. C2×D4×Dic43C22semidirect
76. #14583307C22semidirect
77. #14583307C22semidirect
78. #14583297C22semidirect
79. #14583285C22semidirect
80. #14583285C22semidirect
81. #14583262C22semidirect
82. #14583260C22semidirect
83. #14583258C22semidirect
84. #14583258C22semidirect
85. #14583255C22semidirect
86. #14583244C22semidirect
87. #14583239C22semidirect
88. #14583238C22semidirect
89. #14583237C22semidirect
90. #14583227C22semidirect
91. #14583224C22semidirect
92. #14583224C22semidirect
93. #14583222C22semidirect
94. #14583221C22semidirect
95. #14583220C22semidirect
96. #14583218C22semidirect
97. #14583218C22semidirect
98. #14583215C22semidirect
99. #14583208C22semidirect
100. #14583201C22semidirect
101. #14583201C22semidirect
102. #14583197C22semidirect
103. #14583190C22semidirect
104. #14583189C22semidirect
105. #14583187C22semidirect
106. #14583187C22semidirect
107. #14583187C22semidirect
108. #14583182C22semidirect
109. #14583180C22semidirect
110. #14583179C22semidirect
111. #14583154C22semidirect
112. #14583152C22semidirect
113. #14583152C22semidirect
114. #14583150C22semidirect
116. #14583147C22semidirect
117. #14583133C22semidirect
118. #14583130C22semidirect
119. #14583125C22semidirect
120. #14583125C22semidirect
121. #14583123C22semidirect
122. #14583123C22semidirect
123. #14583116C22semidirect
124. #14583116C22semidirect
125. #14583111C22semidirect
126. #14583111C22semidirect
129. #14583092C22semidirect
130. #14583092C22semidirect
131. #14583048C22semidirect
132. #14583048C22semidirect
135. #14583033C22semidirect
136. #14583033C22semidirect
139. #14583029C22semidirect
140. #14583028C22semidirect
143. #14583011C22semidirect
144. #14583011C22semidirect
145. #14583011C22semidirect
146. #14583009C22semidirect
147. #14583009C22semidirect
148. #14583008C22semidirect
149. #14583008C22semidirect
150. #14583008C22semidirect
151. #14583006C22semidirect
152. #14583002C22semidirect
153. #14583000C22semidirect
154. #14583000C22semidirect
155. #14583000C22semidirect
156. #14583000C22semidirect
157. SD16×Dic43C22semidirect
158. SD16×Dic43C22semidirect
159. SD16×Dic43C22semidirect
160. SD16×Dic43C22semidirect
161. #14582984C22semidirect
162. C4×D344C22semidirect
164. D8×Dic43C22semidirect
165. D8×Dic43C22semidirect
166. #14582981C22semidirect
167. #14582979C22semidirect
168. #14582974C22semidirect
169. #14582971C22semidirect
170. #14582968C22semidirect
171. #14582968C22semidirect
172. #14582967C22semidirect
173. #14582959C22semidirect
174. #14582957C22semidirect
175. #14582953C22semidirect
176. #14582941C22semidirect
177. #14582941C22semidirect
178. #14582936C22semidirect
179. #14582904C22semidirect
180. #14582902C22semidirect
181. #14582902C22semidirect
182. #14582900C22semidirect
183. #14582895C22semidirect
184. C2×#13063246C22semidirect
185. #14582857C22semidirect
186. #14582853C22semidirect
187. M16×Dic43C22semidirect
190. C43×#546C22semidirect
191. C43×#546C22semidirect
192. C43×#495C22semidirect
193. C43×#468C22semidirect
194. C43×#468C22semidirect
195. C43×#463C22semidirect
196. C43×#463C22semidirect
197. C43×#452C22semidirect
198. C43×#452C22semidirect
199. C43×#447C22semidirect
200. C43×#447C22semidirect
202. C43×#436C22semidirect
570. D8×C43#41semidirect
884. #3273D43semidirect
935. #546C2×D43semidirect
936. #546C2×D43semidirect
965. #495C2×D43semidirect
1002. #468C2×D43semidirect
1003. #468C2×D43semidirect
1014. #463C2×D43semidirect
1015. #463C2×D43semidirect
1020. #452C2×D43semidirect
1021. #452C2×D43semidirect
1030. #447C2×D43semidirect
1031. #447C2×D43semidirect
1063. #436C2×D43semidirect
1083. C43#61505semidirect
1458. D8#10621900semidirect

Maximal subgroups

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

subgroupindex
#191485432
#191485362
#191476862
#191474922
#191473822
#191473452
#191471912
#191471352
#191471052
#191468302
#191468042
#191467512
#191467402
#191466352
#191465562
#191460692
#191452712
#191452092
#191451832
#191448652
#191448322
#191447782
#191447762
#191447052
#191446812
#191435812
#191434422
#191434282
AGL(1,ℤ/8)×Dic432
C43×#32732
#6150543