Finite Group Databasebeta

← #25979736

Subgroups — #25979736

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#19148554C211yesmaximal, characteristic, complemented
2#19148541C211yesmaximal, characteristic, complemented
3#19147686C211yesmaximal, characteristic, complemented
4#19147499C211yesmaximal, characteristic, complemented
5#19147384C211yesmaximal, characteristic, complemented
6#19147347C211yesmaximal, characteristic, complemented
7#19147189C211yesmaximal, characteristic, complemented
8#19147146C211yesmaximal, characteristic, complemented
9#19147116C211yesmaximal, characteristic, complemented
10#19146832C211yesmaximal, characteristic, complemented
11#19146817C211yesmaximal, characteristic, complemented
12#19146750C211yesmaximal, characteristic, complemented
13#19146731C211yesmaximal, characteristic, complemented
14#19146626C211yesmaximal, characteristic, complemented
15#19146555C211yesmaximal, characteristic, complemented
16#19146204C211yesmaximal, characteristic, complemented
17#19146072C211yesmaximal, characteristic, complemented
18#19146072C211yesmaximal, characteristic, complemented
19#19145274C211yesmaximal, characteristic, complemented
20#19145186C211yesmaximal, characteristic, complemented
21#19144870C211yesmaximal, characteristic, complemented
22#19144837C211yesmaximal, characteristic, complemented
23#19144773C211yesmaximal, characteristic, complemented
24#19144773C211yesmaximal, characteristic, complemented
25#19144710C211yesmaximal, characteristic, complemented
26#19144684C211yesmaximal, characteristic, complemented
27#19143576C211yesmaximal, characteristic, complemented
28#19143448C211yesmaximal, characteristic, complemented
29#19143422C211yesmaximal, characteristic, complemented
30C4×#13063352C211yesmaximal, characteristic, complemented
31C43×#3173C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33C2×#13063352C2211yescharacteristic
34C22×D344C2211yescharacteristic
35#14583631C2211yescharacteristic, complemented
36#14583631C2211yescharacteristic, complemented
37#14583620C2211yescharacteristic, complemented
38#14583615C2211yescharacteristic, complemented
39#14583613C2211yescharacteristic
40#14583610C2211yescharacteristic, complemented
41#14583600—21no—
42#14583596C2211yescharacteristic
43#14583583C2211yescharacteristic, complemented
44#14583579—21no—
45#14583577—21no—
46#14583576—21no—
47#14583574—21no—
48#14583564C2211yescharacteristic, complemented
49#14583559—21no—
50#14583552C2211yescharacteristic, complemented
51#14583542—21no—
52#14583542C2211yescharacteristic, complemented
53#14583542C2211yescharacteristic, complemented
54#14583541—21no—
55#14583540C2211yescharacteristic
56#14583540C2211yescharacteristic
57#14583533C2211yescharacteristic, complemented
58#14583533C2211yescharacteristic, complemented
59#14583521C2211yescharacteristic, complemented
60#14583500C2211yescharacteristic, complemented
61#14583495—21no—
62#14583488—21no—
63#14583485—21no—
64#14583483—21no—
65#14583446C2211yescharacteristic, complemented
66#14583436C2211yescharacteristic, complemented
67#14583432—21no—
68#14583427C2211yescharacteristic
69#124×D43—21no—
70#14583412—21no—
71#123×D43—21no—
72#14583381C2211yescharacteristic, complemented
73#14583373C2211yescharacteristic, complemented
74#14583373C2211yescharacteristic, complemented
75#14583371C2211yescharacteristic, complemented
76C4×#10621902C2211yescharacteristic, complemented
77C4×D4×D43C2211yescharacteristic, complemented
78#14583306C2211yescharacteristic, complemented
79#14583306C2211yescharacteristic, complemented
80#14583285C2211yescharacteristic, complemented
81#14583285C2211yescharacteristic, complemented
82#14583262C2211yescharacteristic, complemented
83#14583260C2211yescharacteristic, complemented
84#14583255C2211yescharacteristic, complemented
85#14583244C2211yescharacteristic, complemented
86#14583238C2211yescharacteristic, complemented
87#14583237C2211yescharacteristic, complemented
88#14583237C2211yescharacteristic, complemented
89#14583228C2211yescharacteristic, complemented
90#14583225C2211yescharacteristic, complemented
91#14583225C2211yescharacteristic, complemented
92#14583222C2211yescharacteristic, complemented
93#14583220C2211yescharacteristic, complemented
94#14583220C2211yescharacteristic, complemented
95#14583219C2211yescharacteristic, complemented
96#14583219C2211yescharacteristic, complemented
97#14583216C2211yescharacteristic, complemented
98#14583204C2211yescharacteristic, complemented
99#14583201C2211yescharacteristic, complemented
100#14583198C2211yescharacteristic, complemented
101#14583198C2211yescharacteristic, complemented
102#14583188C2211yescharacteristic, complemented
103#14583188C2211yescharacteristic, complemented
104#14583187C2211yescharacteristic, complemented
105#14583186C2211yescharacteristic, complemented
106#14583186C2211yescharacteristic, complemented
107#14583182C2211yescharacteristic, complemented
108#14583176C2211yescharacteristic, complemented
109#14583176C2211yescharacteristic, complemented
110#14583153C2211yescharacteristic, complemented
111#14583153C2211yescharacteristic, complemented
112#14583151C2211yescharacteristic, complemented
113#14583148C2211yescharacteristic, complemented
114#14583142C2211yescharacteristic, complemented
115#14583142C2211yescharacteristic, complemented
116#14583134C2211yescharacteristic, complemented
117#14583131C2211yescharacteristic, complemented
118#14583123C2211yescharacteristic, complemented
119#14583123C2211yescharacteristic, complemented
120#14583117C2211yescharacteristic, complemented
121#14583117C2211yescharacteristic, complemented
122#14583111C2211yescharacteristic, complemented
123#14583111C2211yescharacteristic, complemented
124#14583111C2211yescharacteristic, complemented
125#14583111C2211yescharacteristic, complemented
126#14583093C2211yescharacteristic
127#14583093C2211yescharacteristic
128#14583092C2211yescharacteristic, complemented
129#14583092C2211yescharacteristic, complemented
130#14583060C2211yescharacteristic, complemented
131#14583060C2211yescharacteristic, complemented
132#14583049C2211yescharacteristic, complemented
133#14583049C2211yescharacteristic, complemented
134#14583047C2211yescharacteristic
135#14583047C2211yescharacteristic
136#14583034C2211yescharacteristic, complemented
137#14583034C2211yescharacteristic, complemented
138#14583032C2211yescharacteristic
139#14583032C2211yescharacteristic
140#14583031C2211yescharacteristic, complemented
141#14583031C2211yescharacteristic, complemented
142#14583029C2211yescharacteristic, complemented
143#14583027C2211yescharacteristic, complemented
144#14583012C2211yescharacteristic, complemented
145#14583012C2211yescharacteristic, complemented
146#14583012C2211yescharacteristic, complemented
147#14583012C2211yescharacteristic, complemented
148#14583010C2211yescharacteristic
149#14583010C2211yescharacteristic
150#14583009C2211yescharacteristic, complemented
151#14583009C2211yescharacteristic, complemented
152#14583008C2211yescharacteristic, complemented
153#14583002C2211yescharacteristic, complemented
154#14583000C2211yescharacteristic, complemented
155#14583000C2211yescharacteristic, complemented
156#14582997C2211yescharacteristic, complemented
157#14582997C2211yescharacteristic, complemented
158C4×#10621884C2211yescharacteristic, complemented
159C4×#10621884C2211yescharacteristic, complemented
160#14582984C2211yescharacteristic, complemented
161C4×D344C2211yescharacteristic
162C4×D344C2211yescharacteristic
163C4×D344C2211yescharacteristic, complemented
164C4×D344C2211yescharacteristic, complemented
165C4×#10621882C2211yescharacteristic, complemented
166C4×#10621882C2211yescharacteristic, complemented
167#14582979C2211yescharacteristic, complemented
168#14582978C2211yescharacteristic, complemented
169#14582975C2211yescharacteristic, complemented
170#14582972C2211yescharacteristic, complemented
171#14582970C2211yescharacteristic, complemented
172#14582970C2211yescharacteristic, complemented
173#14582968C2211yescharacteristic, complemented
174#14582961C2211yescharacteristic, complemented
175#14582960C2211yescharacteristic, complemented
176#14582954C2211yescharacteristic, complemented
177#14582938C2211yescharacteristic, complemented
178#14582938C2211yescharacteristic, complemented
179#14582937C2211yescharacteristic, complemented
180#14582905C2211yescharacteristic, complemented
181#14582905C2211yescharacteristic, complemented
182#14582902C2211yescharacteristic, complemented
183#14582899C2211yescharacteristic, complemented
184#14582894C2211yescharacteristic, complemented
185#102×D43C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187C4×#10621872C2211yescharacteristic, complemented
188C43×#542C2211yescharacteristic, complemented
189C43×#542C2211yescharacteristic, complemented
190C43×#498C2211yescharacteristic, complemented
191C43×#495C2211yescharacteristic, complemented
192C43×#489C2211yescharacteristic, complemented
193C43×#489C2211yescharacteristic, complemented
194C43×#470C2211yescharacteristic, complemented
195C43×#469C2211yescharacteristic
196C43×#465C2211yescharacteristic, complemented
197C43×#465C2211yescharacteristic, complemented
198C43×#442C2211yescharacteristic, complemented
199C43×#441C2211yescharacteristic, complemented
200C4×SD16×C43C2211yescharacteristic, complemented
201C4×SD16×C43C2211yescharacteristic, complemented
202C43×#405C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621902C2311yescharacteristic
205C2×#10621902C2311yescharacteristic
206C2×#10621898—21no—
207C2×Q8×D43—21no—
208C22×D172C2311yescharacteristic
209C22×D172C2311yescharacteristic
210C2×D4×D43—21no—
211C2×D4×D43—21no—
212C2×D4×D43C2311yescharacteristic
213C2×D4×D43C2311yescharacteristic
214C22×C4×D43—21no—
215#13063352—24no—
216#13063352—24no—
217C2×#10621884C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×D344—24no—
222C2×D344C2311yescharacteristic
223C2×D344C2311yescharacteristic
224C2×D344C2311yescharacteristic
225C2×D344C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621882C2311yescharacteristic
230C2×#10621872C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232C2×#10621872C2311yescharacteristic
233C2×C8×D43C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063324C2311yescharacteristic
236#13063321C2311yescharacteristic
237#13063321C2311yescharacteristic
238#13063320—21no—
239#13063320—21no—
240#13063320D411yescharacteristic
241#13063319—21no—
242#13063318—21no—
243#13063318—21no—
244#13063318—21no—
245#13063318D411yescharacteristic
246#13063316C2311yescharacteristic
247#13063316C2311yescharacteristic
248#13063315—21no—
249#13063315D411yescharacteristic
250#13063314—21no—
251#13063314—21no—
252#13063314C2311yescharacteristic
253#13063314C2311yescharacteristic
254#13063313—21no—
255#13063312—21no—
256#13063311—21no—
257#13063311—21no—
258#13063311—21no—
259#13063311—21no—
260#13063311—21no—
261#13063311D411yescharacteristic
262#13063310—21no—
263#13063310—21no—
264#13063310—21no—
265#13063310—21no—
266#13063310—21no—
267#13063310—21no—
268#13063310D411yescharacteristic
269#13063309—21no—
270#13063309—21no—
271#13063308—21no—
272#13063307—21no—
273#13063307—21no—
274#13063307—21no—
275#13063307—21no—
276#13063307—21no—
277#13063307—21no—
278#13063307D411yescharacteristic
279#13063306—21no—
280#13063305—21no—
281#13063303—21no—
282#13063303—21no—
283#13063303—21no—
284#13063303D411yescharacteristic
285#13063301—21no—
286#13063301—21no—
287#13063301—21no—
288#13063301—21no—
289#13063301C2311yescharacteristic
290#13063301C2311yescharacteristic
291#13063300—21no—
292#13063300—21no—
293#13063300—21no—
294#13063300C2311yescharacteristic
295#13063300C2311yescharacteristic
296#13063300C2311yescharacteristic
297#13063300C2311yescharacteristic
298#13063299—21no—
299#13063298—21no—
300#13063298—21no—
301#13063298—21no—
302#13063298—21no—
303#13063298—21no—
304#13063298—21no—
305#13063298D411yescharacteristic
306#13063297—21no—
307#13063296—21no—
308#13063296C2311yescharacteristic
309#13063296C2311yescharacteristic
310#13063295—21no—
311#13063295—21no—
312#13063295—21no—
313#13063295—21no—
314#13063295—21no—
315#13063295—21no—
316#13063293—21no—
317#13063293—21no—
318Q8×Dic43C2311yescharacteristic
319Q8×Dic43C2311yescharacteristic
320C4×Dic86C2311yescharacteristic
321#13063290—21no—
322C4×D172—21no—
323C4×D172—21no—
324C4×D172—21no—
325C4×D172C2311yescharacteristic
326C4×D172C2311yescharacteristic
327C4×D172C2311yescharacteristic
328C4×D172C2311yescharacteristic
329C4×D172C2311yescharacteristic
330C4×D172C2311yescharacteristic
331C4×D172C2311yescharacteristic
332C4×D172C2311yescharacteristic
333C4×D172C2311yescharacteristic
334D4×Dic43C2311yescharacteristic
335D4×Dic43C2311yescharacteristic
336#13063287—21no—
337#13063287—21no—
338#13063287—21no—
339#13063287—21no—
340#13063287—21no—
341#13063287—21no—
342#13063287C2311yescharacteristic
343#13063287C2311yescharacteristic
344#13063287C2311yescharacteristic
345#13063287C2311yescharacteristic
346C4×C22⋊D43—21no—
347C4×C22⋊D43—21no—
348C4×C22⋊D43—21no—
349C4×C22⋊D43C2311yescharacteristic
350C4×C22⋊D43C2311yescharacteristic
351(C22⋊D43)⋊C4—21no—
352(C22⋊D43)⋊C4—21no—
353(C22⋊D43)⋊C4—21no—
354(C22⋊D43)⋊C4—21no—
355(C22⋊D43)⋊C4—21no—
356#13063284C2311yescharacteristic
357#13063284C2311yescharacteristic
358#13063283—21no—
359#13063283—21no—
360#13063283—21no—
361#13063283C2311yescharacteristic
362#13063283C2311yescharacteristic
363#13063282—21no—
364#13063282—21no—
365#13063282C2311yescharacteristic
366#13063281—21no—
367C4⋊C4×D43—21no—
368C4⋊C4×D43—21no—
369C4⋊C4×D43C2311yescharacteristic
370C4⋊C4×D43C2311yescharacteristic
371C2×(C2×D43)⋊C4—21no—
372C22⋊C4×D43—21no—
373C22⋊C4×D43—21no—
374C22⋊C4×D43—21no—
375C22⋊C4×D43—21no—
376C22⋊C4×D43—21no—
377C22⋊C4×D43—21no—
378C22⋊C4×D43—21no—
379C22⋊C4×D43—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C42×D43—21no—
383C42×D43C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396C4⋊(C43⋊C8)C2311yescharacteristic
397C4⋊(C43⋊C8)C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063247C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063245C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427C22⋊(C43⋊C8)C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431(C2×D43)⋊C8C2311yescharacteristic
432#13063236C2311yescharacteristic
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435#13063235C2311yescharacteristic
436C4×C43⋊C8C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×Q16×C43C2311yescharacteristic
439C2×SD16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×D8×C43C2311yescharacteristic
442C2×M16×C43C2311yescharacteristic
443C22×C8×C43C2311yescharacteristic
444C4⋊Q8×C43C2311yescharacteristic
445C4⋊Q8×C43C2311yescharacteristic
446#126×C43—21no—
447#126×C43—21no—
448#124×C43—21no—
449#124×C43—21no—
450#124×C43C2311yescharacteristic
451#124×C43C2311yescharacteristic
452#123×C43—21no—
453#123×C43—21no—
454C22⋊Q8×C43—21no—
455C22⋊Q8×C43—21no—
456C22⋊Q8×C43C2311yescharacteristic
457C22⋊Q8×C43C2311yescharacteristic
458#121×C43C2311yescharacteristic
459#121×C43C2311yescharacteristic
460C4×Q8×C43C2311yescharacteristic
461C4×Q8×C43C2311yescharacteristic
462C4×D4×C43C2311yescharacteristic
463C4×D4×C43C2311yescharacteristic
464#117×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#97×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479C4×C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483C23×D43—21no—
484C23×D43—21no—
485C2×Q8×C43—21no—
486C2×Q8×C43—21no—
487C2×Q8×C43C2411yescharacteristic
488C2×Q8×C43C2411yescharacteristic
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43C2411yescharacteristic
492C2×D4×C43C2411yescharacteristic
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C22×C4×C43C2411yescharacteristic
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43C2×D411yescharacteristic
505C2×C22⋊D43C2×D411yescharacteristic
506C22×Dic43—21no—
507C22×Dic43—21no—
508#10621902—22no—
509#10621902—22no—
510#10621902—41no—
511#10621902—41no—
512#10621902—82no—
513Q8×D43—82no—
514D4×D43—22no—
515D4×D43—22no—
516D4×D43—41no—
517D4×D43—41no—
518D4×D43—82no—
519D4×D43—82no—
520#10621898—82no—
521C2×D172—21no—
522C2×D172—21no—
523C2×D172—21no—
524C2×D172—21no—
525C2×D172—21no—
526C2×D172—21no—
527C2×D172—21no—
528C2×D172—21no—
529C2×D172—22no—
530C2×D172—22no—
531C2×D172—41no—
532C2×D172—41no—
533C2×D172C2×D411yescharacteristic
534C2×D172C2411yescharacteristic
535C2×D172C2411yescharacteristic
536C2×D172C2411yescharacteristic
537C2×D172C2411yescharacteristic
538C2×C4×D43—21no—
539C2×C4×D43—21no—
540C2×C4×D43—21no—
541C2×C4×D43—21no—
542C2×C4×D43—21no—
543C2×C4×D43—21no—
544C2×C4×D43—21no—
545C2×C4×D43—21no—
546C2×C4×D43—21no—
547C2×C4×D43—21no—
548C2×C4×D43—21no—
549C2×C4×D43—21no—
550C2×C4×D43—21no—
551C2×C4×D43—21no—
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43—82no—
555C2×C4×D43C2×D411yescharacteristic
556C2×C4×D43C2×D411yescharacteristic
557C2×C4×D43C2411yescharacteristic
558C2×C4×D43C2411yescharacteristic
559C2×Dic86—21no—
560C2×Dic86—21no—
561C2×Dic86C2×D411yescharacteristic
562Q16×C43—41no—
563SD16×C43—22no—
564SD16×C43—22no—
565D8×C43—41no—
566M16×C43—41no—
567C2×C8×C43—22no—
568C2×C8×C43C2411yescharacteristic
569C2×C8×C43C2411yescharacteristic
570C2×C8×C43C2411yescharacteristic
571C2×C8×C43C2411yescharacteristic
572C4⋊C4×C43—21no—
573C4⋊C4×C43—21no—
574C4⋊C4×C43—21no—
575C4⋊C4×C43—21no—
576C4⋊C4×C43—21no—
577C4⋊C4×C43—21no—
578C4⋊C4×C43C2×D411yescharacteristic
579C4⋊C4×C43C2×D411yescharacteristic
580C4⋊C4×C43C2411yescharacteristic
581C4⋊C4×C43C2411yescharacteristic
582C4⋊C4×C43C2411yescharacteristic
583C4⋊C4×C43C2411yescharacteristic
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×C43—21no—
593C22⋊C4×C43—21no—
594C22⋊C4×C43C2×D411yescharacteristic
595C22⋊C4×C43C2×D411yescharacteristic
596C42×C43—21no—
597C42×C43—21no—
598C42×C43C2411yescharacteristic
599C42×C43C2411yescharacteristic
600C22⋊Dic43—21no—
601C22⋊Dic43—21no—
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43C2×D411yescharacteristic
607C22⋊Dic43C2×D411yescharacteristic
608#10621884—22no—
609#10621884—22no—
610#10621884—41no—
611#10621884—41no—
612#10621882—22no—
613#10621882—22no—
614#10621882—41no—
615#10621882—41no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
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)⋊C4—21no—
636(C2×D43)⋊C4—21no—
637(C2×D43)⋊C4—21no—
638(C2×D43)⋊C4—21no—
639(C2×D43)⋊C4—21no—
640(C2×D43)⋊C4C2×D411yescharacteristic
641(C2×D43)⋊C4C2×D411yescharacteristic
642(C2×D43)⋊C4C2×D411yescharacteristic
643(C2×D43)⋊C4C2×D411yescharacteristic
644(C2×D43)⋊C4C2×D411yescharacteristic
645(C2×D43)⋊C4C2×D411yescharacteristic
646C4⋊Dic43—21no—
647C4⋊Dic43—21no—
648C4⋊Dic43—21no—
649C4⋊Dic43—21no—
650C4⋊Dic43C2×D411yescharacteristic
651C4⋊Dic43C2×D411yescharacteristic
652C4⋊Dic43C2411yescharacteristic
653C4⋊Dic43C2411yescharacteristic
654C4⋊Dic43C2411yescharacteristic
655C4⋊Dic43C2411yescharacteristic
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
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×Dic43C2×D411yescharacteristic
677C4×Dic43C2×D411yescharacteristic
678C4×Dic43C2411yescharacteristic
679C4×Dic43C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684D344—22no—
685D344—22no—
686D344—22no—
687D344#4114yescomplemented
688#10621872—22no—
689#10621872—22no—
690#10621872—41no—
691C8×D43—41no—
692C23×C43—21no—
693C23×C43—21no—
694C23×C43C22×D411yescharacteristic
695C22×D43—21no—
696C22×D43—21no—
697C22×D43—21no—
698C22×D43—21no—
699C22×D43—42no—
700C22×D43—42no—
701C22×D43—42no—
702C22×D43—42no—
703C22×D43—42no—
704C22×D43—81no—
705C22×D43—81no—
706C22×D43—81no—
707C22×D43—81no—
708C22×D43—81no—
709C22×D43—81no—
710C22×D43—81no—
711C22×D43C22×D411yescharacteristic
712C22×D43C22×D411yescharacteristic
713Q8×C43—21no—
714Q8×C43—21no—
715Q8×C43—21no—
716Q8×C43—21no—
717Q8×C43—81no—
718Q8×C43—81no—
719D4×C43—21no—
720D4×C43—21no—
721D4×C43—21no—
722D4×C43—21no—
723D4×C43—81no—
724D4×C43—81no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—81no—
734C2×C4×C43—81no—
735C2×C4×C43C22×D411yescharacteristic
736C2×C4×C43C22×D411yescharacteristic
737C2×C4×C43C22×D411yescharacteristic
738C2×C4×C43C22×D411yescharacteristic
739C2×C4×C43C22×D411yescharacteristic
740C2×C4×C43C2511yescharacteristic
741C22⋊D43—41no—
742C22⋊D43—41no—
743C22⋊D43—42no—
744C22⋊D43—42no—
745C22⋊D43—42no—
746C22⋊D43—81no—
747C22⋊D43—81no—
748C22⋊D43—81no—
749C22⋊D43—81no—
750C22⋊D43—81no—
751C2×Dic43—21no—
752C2×Dic43—21no—
753C2×Dic43—21no—
754C2×Dic43—21no—
755C2×Dic43—81no—
756C2×Dic43—81no—
757C2×Dic43C22×D411yescharacteristic
758C2×Dic43C22×D411yescharacteristic
759C2×Dic43C22×D411yescharacteristic
760C2×Dic43C22×D411yescharacteristic
761C2×Dic43C22×D411yescharacteristic
762C2×Dic43C22×D411yescharacteristic
763D172—21no—
764D172—21no—
765D172—21no—
766D172—21no—
767D172—21no—
768D172—21no—
769D172—41no—
770D172—42no—
771D172—42no—
772D172—42no—
773D172—42no—
774D172—42no—
775D172—81no—
776D172—81no—
777D172—81no—
778D172C2×#4112yes—
779D172C2×#4112yes—
780C4×D43—21no—
781C4×D43—21no—
782C4×D43—21no—
783C4×D43—21no—
784C4×D43—41no—
785C4×D43—41no—
786C4×D43—42no—
787C4×D43—42no—
788C4×D43—42no—
789C4×D43—42no—
790C4×D43—81no—
791C4×D43—81no—
792C4×D43—81no—
793C4×D43—81no—
794C4×D43—81no—
795C4×D43—81no—
796C4×D43—81no—
797C4×D43—81no—
798C4×D43—81no—
799C4×D43—81no—
800C4×D43—81no—
801C4×D43—81no—
802Dic86—41no—
803Dic86—42no—
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—41no—
818C22×C43—41no—
819C22×C43—41no—
820C22×C43—41no—
821C22×C43—41no—
822C22×C43—41no—
823C22×C43C23×D411yescharacteristic
824C2×D43—21no—
825C2×D43—21no—
826C2×D43—21no—
827C2×D43—21no—
828C2×D43—22no—
829C2×D43—22no—
830C2×D43—21no—
831C2×D43—21no—
832C2×D43—41no—
833C2×D43—41no—
834C2×D43—41no—
835C2×D43—41no—
836C2×D43—41no—
837C2×D43—41no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—84no—
843C2×D43—162no—
844C2×D43—162no—
845C2×D43—162no—
846C4×C43—21no—
847C4×C43—21no—
848C4×C43—21no—
849C4×C43—21no—
850C4×C43—21no—
851C4×C43—41no—
852C4×C43—41no—
853C4×C43—41no—
854C4×C43—41no—
855C4×C43—41no—
856C4×C43—41no—
857C4×C43C22×#4111yescharacteristic
858C4×C43#58511yescharacteristic
859Dic43—21no—
860Dic43—21no—
861Dic43—21no—
862Dic43—21no—
863Dic43—21no—
864Dic43—21no—
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#3273—431no—
885#3264—431no—
886#3264—431no—
887#3179—431no—
888#3173D4311yescharacteristic, complemented
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—41no—
901C2×C43—81no—
902C2×C43—81no—
903C2×C43D4×#4111yescharacteristic
904C2×C43#358511yescharacteristic
905C2×C43#358511yescharacteristic
906D43—41no—
907D43—41no—
908D43—42no—
909D43—42no—
910D43—81no—
911D43—81no—
912C2×AGL(1,ℤ/8)—431no—
913C2×AGL(1,ℤ/8)—431no—
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—431no—
934#546—431no—
935#546—861no—
936#546—861no—
937D42—431no—
938D42—431no—
939#542—431no—
940#542C2×D4311yescharacteristic, complemented
941#542C2×D4311yescharacteristic, complemented
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#498C2×D4311yescharacteristic, complemented
963#496—431no—
964#496—431no—
965#495C2×D4311yescharacteristic, complemented
966#490—431no—
967#489—431no—
968#489C2×D4311yescharacteristic, complemented
969#489C2×D4311yescharacteristic, complemented
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#470C2×D4311yescharacteristic, complemented
997#469—431no—
998#469—431no—
999#469—431no—
1000#469C2×D4311yescharacteristic
1001#468—431no—
1002#468—431no—
1003#468—431no—
1004#466—431no—
1005#465—431no—
1006#465C2×D4311yescharacteristic, complemented
1007#465C2×D4311yescharacteristic, complemented
1008#464—431no—
1009#464—431no—
1010#463—431no—
1011#463—431no—
1012#463—431no—
1013#463—431no—
1014#463—431no—
1015#463—431no—
1016#459—431no—
1017#459—431no—
1018#459—431no—
1019#459—431no—
1020#452—431no—
1021#452—431no—
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#447—431no—
1031#447—431no—
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#442C2×D4311yescharacteristic, complemented
1044#441C2×D4311yescharacteristic, complemented
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×SD16C2×D4311yescharacteristic, complemented
1054C4×SD16C2×D4311yescharacteristic, complemented
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8—431no—
1060C4×D8—431no—
1061C4×D8—431no—
1062#436—431no—
1063#436—431no—
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#405C2×D4311yescharacteristic, complemented
1082C4×M16—431no—
1083C43#6150511yescharacteristic, complemented, Sylow
1084C2×#41—431no—
1085C2×#41—431no—
1086C2×#41—861no—
1087C2×#41—861no—
1088C22×Q8—861no—
1089C22×D4—431no—
1090C22×D4—431no—
1091C22×D4—431no—
1092C22×D4—431no—
1093C22×D4—861no—
1094C22×D4—861no—
1095C23×C4—861no—
1096AGL(1,ℤ/8)—864no—
1097AGL(1,ℤ/8)—864no—
1098C2×Q16C22×D4311yescharacteristic
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16—431no—
1103C2×SD16C22×D4311yescharacteristic
1104C2×SD16C22×D4311yescharacteristic
1105C2×D8—431no—
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8—431no—
1109C2×D8—431no—
1110C2×D8—431no—
1111C2×D8—431no—
1112C2×D8—431no—
1113C2×D8—864no—
1114C2×D8C22×D4311yescharacteristic
1115C2×M16—431no—
1116C2×M16—431no—
1117C2×M16—431no—
1118C2×M16C22×D4311yescharacteristic
1119C22×C8—431no—
1120C22×C8C22×D4311yescharacteristic
1121C4⋊Q8—431no—
1122C4⋊Q8—431no—
1123C4⋊Q8C22×D4311yescharacteristic
1124C4⋊Q8C22×D4311yescharacteristic
1125#127—431no—
1126#127—431no—
1127#126—21no—
1128#126—21no—
1129#126—431no—
1130#126—431no—
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—21no—
1142#124—21no—
1143#124—431no—
1144#124—431no—
1145#124—431no—
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—21no—
1178C22⋊Q8—21no—
1179C22⋊Q8—431no—
1180C22⋊Q8—431no—
1181C22⋊Q8—431no—
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—431no—
1193#121—431no—
1194#121—431no—
1195#121—431no—
1196#121—431no—
1197#121—431no—
1198#121—431no—
1199#121—861no—
1200#121—861no—
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—861no—
1214#120—861no—
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—861no—
1225C4×Q8C22×D4311yescharacteristic
1226C4×Q8C22×D4311yescharacteristic
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—431no—
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×D4—861no—
1261C4×D4C22×D4311yescharacteristic
1262C4×D4C22×D4311yescharacteristic
1263#117—431no—
1264#117—431no—
1265#117—431no—
1266#117—431no—
1267#117—431no—
1268#117—861no—
1269#117—861no—
1270#117—861no—
1271#117—861no—
1272#117—861no—
1273#117—861no—
1274#117C22×D4311yescharacteristic
1275C2×C4⋊C4—431no—
1276C2×C4⋊C4—431no—
1277C2×C4⋊C4—861no—
1278C2×C4⋊C4—861no—
1279C2×C22⋊C4—861no—
1280C2×C22⋊C4—861no—
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#107—431no—
1298#106—431no—
1299#106—431no—
1300#106—431no—
1301#106—431no—
1302#106—431no—
1303#106—431no—
1304#106C22×D4311yescharacteristic
1305#106C22×D4311yescharacteristic
1306#106C22×D4311yescharacteristic
1307#106C22×D4311yescharacteristic
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8—431no—
1311C4⋊C8—431no—
1312C4⋊C8—431no—
1313C4⋊C8—431no—
1314#103—431no—
1315#103—431no—
1316#103—431no—
1317#103—431no—
1318#103C22×D4311yescharacteristic
1319#103C22×D4311yescharacteristic
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⋊C8—431no—
1351C22⋊C8—431no—
1352#97—431no—
1353#97—431no—
1354#97—431no—
1355#97—431no—
1356#97C22×D4311yescharacteristic
1357#97C22×D4311yescharacteristic
1358C4×C8—431no—
1359C4×C8—431no—
1360C4×C8C22×D4311yescharacteristic
1361C4×C8C22×D4311yescharacteristic
1362C24—861no—
1363C24—861no—
1364C24—861no—
1365C24—861no—
1366#41—862no—
1367#41—862no—
1368#41—3442no—
1369#41—3442no—
1370#41—1721no—
1371#41—1721no—
1372C2×Q8—21no—
1373C2×Q8—21no—
1374C2×Q8—431no—
1375C2×Q8—861no—
1376C2×Q8—861no—
1377C2×Q8—3442no—
1378C2×Q8C23×D4311yescharacteristic
1379C2×Q8C23×D4311yescharacteristic
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—431no—
1383C2×D4—431no—
1384C2×D4—431no—
1385C2×D4—431no—
1386C2×D4—431no—
1387C2×D4—431no—
1388C2×D4—431no—
1389C2×D4—862no—
1390C2×D4—862no—
1391C2×D4—861no—
1392C2×D4—861no—
1393C2×D4—861no—
1394C2×D4—861no—
1395C2×D4—861no—
1396C2×D4—861no—
1397C2×D4—861no—
1398C2×D4—861no—
1399C2×D4—861no—
1400C2×D4—861no—
1401C2×D4—861no—
1402C2×D4—861no—
1403C2×D4—862no—
1404C2×D4—862no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—861no—
1409C2×D4—3442no—
1410C2×D4—3442no—
1411C2×D4—1721no—
1412C2×D4—1721no—
1413C2×D4—1721no—
1414C2×D4—1721no—
1415C2×D4C23×D4311yescharacteristic
1416C2×D4C23×D4311yescharacteristic
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—431no—
1420C22×C4—431no—
1421C22×C4—431no—
1422C22×C4—431no—
1423C22×C4—861no—
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—861no—
1441C22×C4—3442no—
1442C22×C4C23×D4311yescharacteristic
1443Q16—41no—
1444SD16—22no—
1445SD16—22no—
1446SD16—862no—
1447SD16—862no—
1448SD16—1721no—
1449SD16—1721no—
1450D8—41no—
1451D8—434no—
1452D8—862no—
1453D8—862no—
1454D8—862no—
1455D8—862no—
1456D8—862no—
1457D8—1721no—
1458D8—1721no—
1459M16—41no—
1460M16—862no—
1461M16—862no—
1462M16—1721no—
1463C2×C8—22no—
1464C2×C8—431no—
1465C2×C8—431no—
1466C2×C8—431no—
1467C2×C8—431no—
1468C2×C8—1721no—
1469C2×C8C23×D4311yescharacteristic
1470C2×C8C23×D4311yescharacteristic
1471C2×C8C23×D4311yescharacteristic
1472C2×C8C23×D4311yescharacteristic
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
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—431no—
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⋊C4D4×D4311yescharacteristic
1504C4⋊C4D4×D4311yescharacteristic
1505C4⋊C4C23×D4311yescharacteristic
1506C4⋊C4C23×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—21no—
1560C42—21no—
1561C42—431no—
1562C42—431no—
1563C42—431no—
1564C42—431no—
1565C42—861no—
1566C42—861no—
1567C42—861no—
1568C42—861no—
1569C42—861no—
1570C42—861no—
1571C42C23×D4311yescharacteristic
1572C42C23×D4311yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—431no—
1576C23—431no—
1577C23—861no—
1578C23—861no—
1579C23—861no—
1580C23—861no—
1581C23—3441no—
1582C23—3441no—
1583C23—3441no—
1584C23—3441no—
1585C23—3441no—
1586C23—3441no—
1587C23—3441no—
1588C23—1722no—
1589C23—1722no—
1590C23—1722no—
1591C23—1722no—
1592C23—1722no—
1593C23C2×D4×D4311yescharacteristic
1594Q8—21no—
1595Q8—21no—
1596Q8—21no—
1597Q8—21no—
1598Q8—81no—
1599Q8—81no—
1600Q8—3441no—
1601Q8—1721no—
1602Q8—1722no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—21no—
1607D4—81no—
1608D4—81no—
1609D4—432no—
1610D4—432no—
1611D4—861no—
1612D4—861no—
1613D4—861no—
1614D4—861no—
1615D4—861no—
1616D4—861no—
1617D4—3441no—
1618D4—3441no—
1619D4—3441no—
1620D4—3441no—
1621D4—3441no—
1622D4—3441no—
1623D4—3441no—
1624D4—3441no—
1625D4—1721no—
1626D4—1722no—
1627D4—1722no—
1628D4—1722no—
1629D4—1722no—
1630D4—1722no—
1631D4—1721no—
1632D4—1721no—
1633D4—1722no—
1634D4—1722no—
1635D4—1722no—
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—81no—
1645C2×C4—81no—
1646C2×C4—431no—
1647C2×C4—431no—
1648C2×C4—431no—
1649C2×C4—431no—
1650C2×C4—431no—
1651C2×C4—431no—
1652C2×C4—861no—
1653C2×C4—861no—
1654C2×C4—861no—
1655C2×C4—861no—
1656C2×C4—861no—
1657C2×C4—861no—
1658C2×C4—861no—
1659C2×C4—861no—
1660C2×C4—3441no—
1661C2×C4—3441no—
1662C2×C4—3441no—
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—1721no—
1675C2×C4—1721no—
1676C2×C4—1722no—
1677C2×C4—1722no—
1678C2×C4—1722no—
1679C2×C4—1722no—
1680C2×C4C2×D4×D4311yescharacteristic
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—
1693C8#41×D4312yes—
1694C22—21no—
1695C22—21no—
1696C22—21no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—861no—
1704C22—861no—
1705C22—862no—
1706C22—862no—
1707C22—861no—
1708C22—861no—
1709C22—861no—
1710C22—861no—
1711C22—3444no—
1712C22—1721no—
1713C22—1721no—
1714C22—1721no—
1715C22—1721no—
1716C22—1721no—
1717C22—1721no—
1718C22—1721no—
1719C22—1721no—
1720C22—1721no—
1721C22—1721no—
1722C22—6882no—
1723C22—6882no—
1724C22—6882no—
1725C22C22×D4×D4311yescharacteristic
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—861no—
1738C4—861no—
1739C4—861no—
1740C4—861no—
1741C4—861no—
1742C4—861no—
1743C4—1721no—
1744C4—1721no—
1745C4—1721no—
1746C4—1721no—
1747C4C2×#41×D4311yescharacteristic
1748C4#1458373511yescharacteristic
1749C2—41no—
1750C2—81no—
1751C2—81no—
1752C2—3441no—
1753C2—3441no—
1754C2—1721no—
1755C2—1721no—
1756C2—1722no—
1757C2—1722no—
1758C2#1914808111yescharacteristic
1759C2#1914937311yescharacteristic
1760C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3173C2
socleC22×C43C23×D4
hypercenter#3173D43
hypocenterC43#61505
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3173

Complements

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

NH ≅ G/Ntype
1. #19148554C2semidirect
2. #19148541C2semidirect
3. #19147686C2semidirect
4. #19147499C2semidirect
5. #19147384C2semidirect
6. #19147347C2semidirect
7. #19147189C2semidirect
8. #19147146C2semidirect
9. #19147116C2semidirect
10. #19146832C2semidirect
11. #19146817C2semidirect
12. #19146750C2semidirect
13. #19146731C2semidirect
14. #19146626C2semidirect
15. #19146555C2semidirect
16. #19146204C2semidirect
17. #19146072C2semidirect
18. #19146072C2semidirect
19. #19145274C2semidirect
20. #19145186C2semidirect
21. #19144870C2semidirect
22. #19144837C2semidirect
23. #19144773C2semidirect
24. #19144773C2semidirect
25. #19144710C2semidirect
26. #19144684C2semidirect
27. #19143576C2semidirect
28. #19143448C2semidirect
29. #19143422C2semidirect
30. C4×#13063352C2semidirect
31. C43×#3173C2semidirect
35. #14583631C22semidirect
36. #14583631C22semidirect
37. #14583620C22semidirect
38. #14583615C22semidirect
40. #14583610C22semidirect
43. #14583583C22semidirect
48. #14583564C22semidirect
50. #14583552C22semidirect
52. #14583542C22semidirect
53. #14583542C22semidirect
57. #14583533C22semidirect
58. #14583533C22semidirect
59. #14583521C22semidirect
60. #14583500C22semidirect
65. #14583446C22semidirect
66. #14583436C22semidirect
72. #14583381C22semidirect
73. #14583373C22semidirect
74. #14583373C22semidirect
75. #14583371C22semidirect
76. C4×#10621902C22semidirect
77. C4×D4×D43C22semidirect
78. #14583306C22semidirect
79. #14583306C22semidirect
80. #14583285C22semidirect
81. #14583285C22semidirect
82. #14583262C22semidirect
83. #14583260C22semidirect
84. #14583255C22semidirect
85. #14583244C22semidirect
86. #14583238C22semidirect
87. #14583237C22semidirect
88. #14583237C22semidirect
89. #14583228C22semidirect
90. #14583225C22semidirect
91. #14583225C22semidirect
92. #14583222C22semidirect
93. #14583220C22semidirect
94. #14583220C22semidirect
95. #14583219C22semidirect
96. #14583219C22semidirect
97. #14583216C22semidirect
98. #14583204C22semidirect
99. #14583201C22semidirect
100. #14583198C22semidirect
101. #14583198C22semidirect
102. #14583188C22semidirect
103. #14583188C22semidirect
104. #14583187C22semidirect
105. #14583186C22semidirect
106. #14583186C22semidirect
107. #14583182C22semidirect
108. #14583176C22semidirect
109. #14583176C22semidirect
110. #14583153C22semidirect
111. #14583153C22semidirect
112. #14583151C22semidirect
113. #14583148C22semidirect
114. #14583142C22semidirect
115. #14583142C22semidirect
116. #14583134C22semidirect
117. #14583131C22semidirect
118. #14583123C22semidirect
119. #14583123C22semidirect
120. #14583117C22semidirect
121. #14583117C22semidirect
122. #14583111C22semidirect
123. #14583111C22semidirect
124. #14583111C22semidirect
125. #14583111C22semidirect
128. #14583092C22semidirect
129. #14583092C22semidirect
130. #14583060C22semidirect
131. #14583060C22semidirect
132. #14583049C22semidirect
133. #14583049C22semidirect
136. #14583034C22semidirect
137. #14583034C22semidirect
140. #14583031C22semidirect
141. #14583031C22semidirect
142. #14583029C22semidirect
143. #14583027C22semidirect
144. #14583012C22semidirect
145. #14583012C22semidirect
146. #14583012C22semidirect
147. #14583012C22semidirect
150. #14583009C22semidirect
151. #14583009C22semidirect
152. #14583008C22semidirect
153. #14583002C22semidirect
154. #14583000C22semidirect
155. #14583000C22semidirect
156. #14582997C22semidirect
157. #14582997C22semidirect
158. C4×#10621884C22semidirect
159. C4×#10621884C22semidirect
160. #14582984C22semidirect
163. C4×D344C22semidirect
164. C4×D344C22semidirect
165. C4×#10621882C22semidirect
166. C4×#10621882C22semidirect
167. #14582979C22semidirect
168. #14582978C22semidirect
169. #14582975C22semidirect
170. #14582972C22semidirect
171. #14582970C22semidirect
172. #14582970C22semidirect
173. #14582968C22semidirect
174. #14582961C22semidirect
175. #14582960C22semidirect
176. #14582954C22semidirect
177. #14582938C22semidirect
178. #14582938C22semidirect
179. #14582937C22semidirect
180. #14582905C22semidirect
181. #14582905C22semidirect
182. #14582902C22semidirect
183. #14582899C22semidirect
184. #14582894C22semidirect
185. #102×D43C22semidirect
186. #14582853C22semidirect
187. C4×#10621872C22semidirect
188. C43×#542C22semidirect
189. C43×#542C22semidirect
190. C43×#498C22semidirect
191. C43×#495C22semidirect
192. C43×#489C22semidirect
193. C43×#489C22semidirect
194. C43×#470C22semidirect
196. C43×#465C22semidirect
197. C43×#465C22semidirect
198. C43×#442C22semidirect
199. C43×#441C22semidirect
200. C4×SD16×C43C22semidirect
201. C4×SD16×C43C22semidirect
202. C43×#405C22semidirect
687. D344#41semidirect
888. #3173D43semidirect
940. #542C2×D43semidirect
941. #542C2×D43semidirect
962. #498C2×D43semidirect
965. #495C2×D43semidirect
968. #489C2×D43semidirect
969. #489C2×D43semidirect
996. #470C2×D43semidirect
1006. #465C2×D43semidirect
1007. #465C2×D43semidirect
1043. #442C2×D43semidirect
1044. #441C2×D43semidirect
1053. C4×SD16C2×D43semidirect
1054. C4×SD16C2×D43semidirect
1081. #405C2×D43semidirect
1083. C43#61505semidirect

Maximal subgroups

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

subgroupindex
#191485542
#191485412
#191476862
#191474992
#191473842
#191473472
#191471892
#191471462
#191471162
#191468322
#191468172
#191467502
#191467312
#191466262
#191465552
#191462042
#191460722
#191452742
#191451862
#191448702
#191448372
#191447732
#191447102
#191446842
#191435762
#191434482
#191434222
C4×#130633522
C43×#31732
#6150543