Finite Group Databasebeta

← #25993802

Subgroups — #25993802

Order 11008.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149242C211yesmaximal, characteristic, complemented
2#19148541C211yesmaximal, characteristic, complemented
3#19147548C211yesmaximal, characteristic, complemented
4#19147469C211yesmaximal, characteristic, complemented
5#19147360C211yesmaximal, characteristic, complemented
6#19147250C211yesmaximal, characteristic, complemented
7#19147193C211yesmaximal, characteristic, complemented
8#19147161C211yesmaximal, characteristic, complemented
9#19147150C211yesmaximal, characteristic, complemented
10#19147131C211yesmaximal, characteristic, complemented
11#19147032C211yesmaximal, characteristic, complemented
12#19146992C211yesmaximal, characteristic, complemented
13#19146821C211yesmaximal, characteristic, complemented
14#19146818C211yesmaximal, characteristic, complemented
15#19146802C211yesmaximal, characteristic, complemented
16#19146758C211yesmaximal, characteristic, complemented
17#19146742C211yesmaximal, characteristic, complemented
18#19146436C211yesmaximal, characteristic, complemented
19#19146003C211yesmaximal, characteristic, complemented
20#19145994C211yesmaximal, characteristic, complemented
21#19145887C211yesmaximal, characteristic, complemented
22#19145855C211yesmaximal, characteristic, complemented
23#19145779C211yesmaximal, characteristic, complemented
24#19144871C211yesmaximal, characteristic, complemented
25#19144773C211yesmaximal, characteristic, complemented
26#19144641C211yesmaximal, characteristic, complemented
27#19144443C211yesmaximal, characteristic, complemented
28#19144427C211yesmaximal, characteristic, complemented
29#19144387C211yesmaximal, characteristic, complemented
30#19143742C211yesmaximal, characteristic, complemented
31C43×#3262C211yesmaximal, characteristic, complemented
32#14583651—21no—
33#14583646—21no—
34#14583631C2211yescharacteristic
35#14583628C2211yescharacteristic, complemented
36#14583620C2211yescharacteristic
37#14583616—21no—
38#14583614C2211yescharacteristic, complemented
39#14583610C2211yescharacteristic
40#14583608C2211yescharacteristic, complemented
41#14583601C2211yescharacteristic
42#14583600—21no—
43#14583596C2211yescharacteristic
44#14583596C2211yescharacteristic, complemented
45#14583591C2211yescharacteristic, complemented
46#14583590C2211yescharacteristic, complemented
47#14583586—21no—
48#14583583C2211yescharacteristic
49#14583579—21no—
50#14583574—21no—
51#14583552C2211yescharacteristic
52#14583542—21no—
53#14583542C2211yescharacteristic
54#14583540C2211yescharacteristic
55#14583533C2211yescharacteristic
56#14583527C2211yescharacteristic, complemented
57#14583526C2211yescharacteristic, complemented
58#14583518—21no—
59#14583518C2211yescharacteristic, complemented
60#14583513—21no—
61#14583509—21no—
62#14583500C2211yescharacteristic
63#14583498—21no—
64#14583495—21no—
65#14583485—21no—
66#14583454C2211yescharacteristic, complemented
67#14583436C2211yescharacteristic
68#14583428C2211yescharacteristic, complemented
69#14583427C2211yescharacteristic
70#14583412—21no—
71#123×D43—21no—
72#14583381C2211yescharacteristic
73#14583373C2211yescharacteristic
74C4×D4×D43C2211yescharacteristic
75#14583307C2211yescharacteristic, complemented
76#14583305C2211yescharacteristic, complemented
77#14583300C2211yescharacteristic, complemented
78#14583300C2211yescharacteristic, complemented
79#14583300C2211yescharacteristic, complemented
80#14583295C2211yescharacteristic, complemented
81#14583262C2211yescharacteristic
82#14583258C2211yescharacteristic, complemented
83#14583255C2211yescharacteristic, complemented
84#14583255C2211yescharacteristic, complemented
85#14583253C2211yescharacteristic, complemented
86#14583244C2211yescharacteristic
87#14583239C2211yescharacteristic, complemented
88#14583239C2211yescharacteristic, complemented
89#14583237C2211yescharacteristic, complemented
90#14583237C2211yescharacteristic, complemented
91#14583233C2211yescharacteristic, complemented
92#14583228C2211yescharacteristic, complemented
93#14583227C2211yescharacteristic, complemented
94#14583226C2211yescharacteristic
95#14583226C2211yescharacteristic
96#14583226C2211yescharacteristic, complemented
97#14583221C2211yescharacteristic, complemented
98#14583220C2211yescharacteristic
99#14583220C2211yescharacteristic, complemented
100#14583216C2211yescharacteristic, complemented
101#14583216C2211yescharacteristic, complemented
102#14583216C2211yescharacteristic, complemented
103#14583215C2211yescharacteristic
104#14583214C2211yescharacteristic, complemented
105#14583208C2211yescharacteristic, complemented
106#14583208C2211yescharacteristic, complemented
107#14583206C2211yescharacteristic, complemented
108#14583204C2211yescharacteristic, complemented
109#14583202C2211yescharacteristic
110#14583202C2211yescharacteristic
111#14583202C2211yescharacteristic
112#14583201C2211yescharacteristic, complemented
113#14583201C2211yescharacteristic, complemented
114#14583201C2211yescharacteristic, complemented
115#14583200C2211yescharacteristic
116#14583200C2211yescharacteristic
117#14583200C2211yescharacteristic, complemented
118#14583200C2211yescharacteristic, complemented
119#14583199C2211yescharacteristic, complemented
120#14583197C2211yescharacteristic, complemented
121#14583192C2211yescharacteristic, complemented
122#14583190C2211yescharacteristic
123#14583190C2211yescharacteristic, complemented
124#14583189C2211yescharacteristic, complemented
125#14583186C2211yescharacteristic, complemented
126#14583184C2211yescharacteristic, complemented
127#14583180C2211yescharacteristic
128#14583180C2211yescharacteristic, complemented
129#14583178C2211yescharacteristic
130#14583176C2211yescharacteristic
131#14583154C2211yescharacteristic, complemented
132#14583151C2211yescharacteristic
133#14583151C2211yescharacteristic, complemented
134#14583148C2211yescharacteristic
135#14583142C2211yescharacteristic, complemented
136#14583142C2211yescharacteristic, complemented
137#14583132C2211yescharacteristic, complemented
138#14583131C2211yescharacteristic, complemented
139#14583123C2211yescharacteristic, complemented
140#14583116C2211yescharacteristic, complemented
141#14583111C2211yescharacteristic
142#14583111C2211yescharacteristic, complemented
143#14583097C2211yescharacteristic
144#14583092C2211yescharacteristic
145#14583060C2211yescharacteristic
146#14583049C2211yescharacteristic
147#14583048C2211yescharacteristic
148#14583043C2211yescharacteristic
149#14583032C2211yescharacteristic
150#14583031C2211yescharacteristic
151#14583028C2211yescharacteristic, complemented
152#14583023C2211yescharacteristic, complemented
153#14583009C2211yescharacteristic
154#14583008C2211yescharacteristic
155#14583006C2211yescharacteristic, complemented
156#14582997C2211yescharacteristic, complemented
157SD16×Dic43C2211yescharacteristic, complemented
158SD16×Dic43C2211yescharacteristic, complemented
159C4×#10621884C2211yescharacteristic
160#14582984C2211yescharacteristic
161#14582984C2211yescharacteristic
162D8×Dic43C2211yescharacteristic, complemented
163C4×#10621882C2211yescharacteristic, complemented
164#14582979C2211yescharacteristic
165#14582976C2211yescharacteristic, complemented
166#14582975C2211yescharacteristic
167#14582975C2211yescharacteristic, complemented
168#14582970C2211yescharacteristic
169#14582969C2211yescharacteristic, complemented
170C8×C22⋊D43C2211yescharacteristic, complemented
171#14582960C2211yescharacteristic, complemented
172#14582959C2211yescharacteristic, complemented
173#14582951C2211yescharacteristic, complemented
174#14582941C2211yescharacteristic, complemented
175#14582940C2211yescharacteristic, complemented
176#14582940C2211yescharacteristic, complemented
177#14582940C2211yescharacteristic, complemented
178#14582937C2211yescharacteristic, complemented
179#107×D43C2211yescharacteristic, complemented
180#14582924C2211yescharacteristic, complemented
181#14582921C2211yescharacteristic, complemented
182#14582905C2211yescharacteristic
183#14582902C2211yescharacteristic
184#14582902C2211yescharacteristic
185#14582899C2211yescharacteristic
186#14582894C2211yescharacteristic
187C2×#13063247C2211yescharacteristic
188C43×#542C2211yescharacteristic
189C43×#542C2211yescharacteristic, complemented
190C43×#477C2211yescharacteristic, complemented
191C43×#477C2211yescharacteristic, complemented
192C43×#474C2211yescharacteristic, complemented
193C43×#474C2211yescharacteristic, complemented
194C43×#468C2211yescharacteristic
195C43×#468C2211yescharacteristic, complemented
196C43×#467C2211yescharacteristic, complemented
197C43×#466C2211yescharacteristic
198C43×#464C2211yescharacteristic, complemented
199C43×#464C2211yescharacteristic, complemented
200C43×#463C2211yescharacteristic, complemented
201C43×#463C2211yescharacteristic, complemented
202C43×#424C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621902C2311yescharacteristic
205C22×D172C2311yescharacteristic
206C2×D4×D43—21no—
207C2×D4×D43C2311yescharacteristic
208C22×C4×D43—21no—
209C2×#10621884C2311yescharacteristic
210C2×#10621884C2311yescharacteristic
211C2×#10621882C2311yescharacteristic
212C2×#10621882C2311yescharacteristic
213C2×#10621872C2311yescharacteristic
214C2×#10621872C2311yescharacteristic
215C2×#10621872C2311yescharacteristic
216C2×C8×D43C2311yescharacteristic
217#13063325—21no—
218#13063325C2311yescharacteristic
219#13063325C2311yescharacteristic
220#13063324—21no—
221#13063324C2311yescharacteristic
222#13063323—21no—
223#13063321C2311yescharacteristic
224#13063320—21no—
225#13063320—21no—
226#13063320—21no—
227#13063320D411yescharacteristic
228#13063319—21no—
229#13063318—21no—
230#13063318—21no—
231#13063318—21no—
232#13063318—21no—
233#13063318—21no—
234#13063318—21no—
235#13063318—21no—
236#13063318D411yescharacteristic
237#13063317C2311yescharacteristic
238#13063317C2311yescharacteristic
239#13063316—21no—
240#13063316—21no—
241#13063316—21no—
242#13063316—21no—
243#13063316C2311yescharacteristic
244#13063316C2311yescharacteristic
245#13063316C2311yescharacteristic
246#13063316C2311yescharacteristic
247#13063316C2311yescharacteristic
248#13063315—21no—
249#13063315—21no—
250#13063315—21no—
251#13063315D411yescharacteristic
252#13063314C2311yescharacteristic
253#13063311—21no—
254#13063311—21no—
255#13063311—21no—
256#13063311—21no—
257#13063311—21no—
258#13063311D411yescharacteristic
259#13063310—21no—
260#13063310—21no—
261#13063310—21no—
262#13063310—21no—
263#13063310—21no—
264#13063310D411yescharacteristic
265#13063309—21no—
266#13063309—21no—
267#13063309—21no—
268#13063309—21no—
269#13063308—21no—
270#13063307—21no—
271#13063307—21no—
272#13063307—21no—
273#13063307—21no—
274#13063307—21no—
275#13063307D411yescharacteristic
276#13063306—21no—
277#13063306—21no—
278#13063305—21no—
279#13063305—21no—
280#13063304—21no—
281#13063303—21no—
282#13063303D411yescharacteristic
283#13063302—21no—
284#13063302—21no—
285#13063302—21no—
286#13063302—21no—
287#13063302—21no—
288#13063301—21no—
289#13063301—21no—
290#13063301—21no—
291#13063301—21no—
292#13063301—21no—
293#13063301C2311yescharacteristic
294#13063301C2311yescharacteristic
295#13063301C2311yescharacteristic
296#13063300—21no—
297#13063300C2311yescharacteristic
298#13063300C2311yescharacteristic
299#13063299—21no—
300#13063299—21no—
301#13063298—21no—
302#13063298—21no—
303#13063298—21no—
304#13063298D411yescharacteristic
305#13063297—21no—
306#13063296—21no—
307#13063296—21no—
308#13063296C2311yescharacteristic
309#13063296C2311yescharacteristic
310#13063296C2311yescharacteristic
311#13063295—21no—
312#13063295—21no—
313#13063295—21no—
314#13063293—21no—
315Q8×Dic43—21no—
316Q8×Dic43C2311yescharacteristic
317Q8×Dic43C2311yescharacteristic
318Q8×Dic43C2311yescharacteristic
319C4×Dic86—21no—
320C4×Dic86C2311yescharacteristic
321#13063290—21no—
322#13063290—21no—
323C4×D172—21no—
324C4×D172—21no—
325C4×D172C2311yescharacteristic
326C4×D172C2311yescharacteristic
327C4×D172C2311yescharacteristic
328C4×D172C2311yescharacteristic
329C4×D172C2311yescharacteristic
330D4×Dic43—21no—
331D4×Dic43C2311yescharacteristic
332D4×Dic43C2311yescharacteristic
333D4×Dic43C2311yescharacteristic
334#13063287—21no—
335#13063287—21no—
336#13063287—21no—
337#13063287C2311yescharacteristic
338#13063287C2311yescharacteristic
339C4×C22⋊D43—21no—
340C4×C22⋊D43C2311yescharacteristic
341C4×C22⋊D43C2311yescharacteristic
342(C22⋊D43)⋊C4—21no—
343(C22⋊D43)⋊C4—21no—
344(C22⋊D43)⋊C4—21no—
345(C22⋊D43)⋊C4—21no—
346(C22⋊D43)⋊C4—21no—
347#13063284—21no—
348#13063284C2311yescharacteristic
349#13063284C2311yescharacteristic
350#13063283—21no—
351#13063283C2311yescharacteristic
352#13063283C2311yescharacteristic
353#13063283C2311yescharacteristic
354#13063282—21no—
355#13063282—21no—
356#13063282—21no—
357#13063282C2311yescharacteristic
358#13063281—21no—
359#13063281—21no—
360C2×C4⋊Dic43C2311yescharacteristic
361C2×Dic43⋊C4—21no—
362C4⋊C4×D43—21no—
363C4⋊C4×D43—21no—
364C4⋊C4×D43C2311yescharacteristic
365C4⋊C4×D43C2311yescharacteristic
366C4⋊C4×D43C2311yescharacteristic
367C22⋊C4×D43—21no—
368C22⋊C4×D43—21no—
369C22⋊C4×D43—21no—
370C22⋊C4×D43—21no—
371C22⋊C4×D43—21no—
372C42×D43C2311yescharacteristic
373#13063259C2311yescharacteristic
374#13063259C2311yescharacteristic
375#13063259C2311yescharacteristic
376#13063259C2311yescharacteristic
377#13063258C2311yescharacteristic
378#13063258C2311yescharacteristic
379#13063258C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063257C2311yescharacteristic
382#13063257C2311yescharacteristic
383#13063257C2311yescharacteristic
384#13063257C2311yescharacteristic
385#13063256C2311yescharacteristic
386#13063256C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389#13063256C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
392#13063256C2311yescharacteristic
393C4⋊(C43⋊C8)C2311yescharacteristic
394C4⋊(C43⋊C8)C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063249C2311yescharacteristic
400#13063249C2311yescharacteristic
401#13063249C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063247C2311yescharacteristic
406#13063247C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063235C2311yescharacteristic
431C4×C43⋊C8C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×Q16×C43C2311yescharacteristic
436C2×SD16×C43C2311yescharacteristic
437C2×SD16×C43C2311yescharacteristic
438C2×D8×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C22×C8×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442C4⋊Q8×C43C2311yescharacteristic
443#126×C43—21no—
444#126×C43—21no—
445#124×C43—21no—
446#124×C43—21no—
447#124×C43C2311yescharacteristic
448#124×C43C2311yescharacteristic
449#123×C43—21no—
450#123×C43—21no—
451C22⋊Q8×C43—21no—
452C22⋊Q8×C43—21no—
453C22⋊Q8×C43C2311yescharacteristic
454C22⋊Q8×C43C2311yescharacteristic
455#121×C43C2311yescharacteristic
456#121×C43C2311yescharacteristic
457C4×Q8×C43C2311yescharacteristic
458C4×Q8×C43C2311yescharacteristic
459C4×D4×C43C2311yescharacteristic
460C4×D4×C43C2311yescharacteristic
461#117×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466C4⋊C8×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468C4⋊C8×C43C2311yescharacteristic
469C4⋊C8×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C23×D43—21no—
479C23×D43—21no—
480C2×Q8×C43—21no—
481C2×Q8×C43—21no—
482C2×Q8×C43C2411yescharacteristic
483C2×Q8×C43C2411yescharacteristic
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43C2411yescharacteristic
487C2×D4×C43C2411yescharacteristic
488C22×C4×C43—21no—
489C22×C4×C43—21no—
490C22×C4×C43C2411yescharacteristic
491C2×C22⋊D43—21no—
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43C2×D411yescharacteristic
498C2×C22⋊D43C2×D411yescharacteristic
499C22×Dic43—21no—
500C22×Dic43—21no—
501C22×Dic43—21no—
502C22×Dic43—21no—
503#10621902—22no—
504#10621902—41no—
505#10621902—82no—
506D4×D43—22no—
507D4×D43—41no—
508D4×D43—82no—
509C2×D172—21no—
510C2×D172—21no—
511C2×D172—21no—
512C2×D172—21no—
513C2×D172—22no—
514C2×D172—41no—
515C2×D172C2×D411yescharacteristic
516C2×D172C2411yescharacteristic
517C2×D172C2411yescharacteristic
518C2×C4×D43—21no—
519C2×C4×D43—21no—
520C2×C4×D43—21no—
521C2×C4×D43—21no—
522C2×C4×D43—21no—
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—82no—
529C2×C4×D43C2×D411yescharacteristic
530C2×C4×D43C2×D411yescharacteristic
531C2×C4×D43C2411yescharacteristic
532C2×C4×D43C2411yescharacteristic
533C2×Dic86—21no—
534C2×Dic86—21no—
535C2×Dic86—21no—
536C2×Dic86C2×D411yescharacteristic
537Q16×C43—41no—
538SD16×C43—41no—
539SD16×C43—41no—
540D8×C43—41no—
541M16×C43—41no—
542C2×C8×C43—41no—
543C2×C8×C43C2411yescharacteristic
544C2×C8×C43C2411yescharacteristic
545C2×C8×C43C2411yescharacteristic
546C2×C8×C43C2411yescharacteristic
547C4⋊C4×C43—21no—
548C4⋊C4×C43—21no—
549C4⋊C4×C43—21no—
550C4⋊C4×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43C2×D411yescharacteristic
554C4⋊C4×C43C2×D411yescharacteristic
555C4⋊C4×C43C2411yescharacteristic
556C4⋊C4×C43C2411yescharacteristic
557C4⋊C4×C43C2411yescharacteristic
558C4⋊C4×C43C2411yescharacteristic
559C22⋊C4×C43—21no—
560C22⋊C4×C43—21no—
561C22⋊C4×C43—21no—
562C22⋊C4×C43—21no—
563C22⋊C4×C43—21no—
564C22⋊C4×C43—21no—
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43C2×D411yescharacteristic
570C22⋊C4×C43C2×D411yescharacteristic
571C42×C43—21no—
572C42×C43—21no—
573C42×C43C2411yescharacteristic
574C42×C43C2411yescharacteristic
575C22⋊Dic43—21no—
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43C2×D411yescharacteristic
584C22⋊Dic43C2×D411yescharacteristic
585#10621884—22no—
586#10621884—41no—
587#10621882—22no—
588#10621882—41no—
589(C2×D43)⋊C4—21no—
590(C2×D43)⋊C4—21no—
591(C2×D43)⋊C4—21no—
592(C2×D43)⋊C4—21no—
593(C2×D43)⋊C4—21no—
594(C2×D43)⋊C4—21no—
595(C2×D43)⋊C4—21no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4C2×D411yescharacteristic
606(C2×D43)⋊C4C2×D411yescharacteristic
607(C2×D43)⋊C4C2×D411yescharacteristic
608(C2×D43)⋊C4C2×D411yescharacteristic
609(C2×D43)⋊C4C2×D411yescharacteristic
610(C2×D43)⋊C4C2×D411yescharacteristic
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43—21no—
619C4⋊Dic43—21no—
620C4⋊Dic43—21no—
621C4⋊Dic43—21no—
622C4⋊Dic43C2×D411yescharacteristic
623C4⋊Dic43C2×D411yescharacteristic
624C4⋊Dic43C2411yescharacteristic
625C4⋊Dic43C2411yescharacteristic
626C4⋊Dic43C2411yescharacteristic
627C4⋊Dic43C2411yescharacteristic
628C4⋊Dic43C2411yescharacteristic
629C4⋊Dic43C2411yescharacteristic
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4C2×D411yescharacteristic
647Dic43⋊C4C2×D411yescharacteristic
648Dic43⋊C4C2×D411yescharacteristic
649Dic43⋊C4C2×D411yescharacteristic
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43—21no—
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43C2×D411yescharacteristic
661C4×Dic43C2×D411yescharacteristic
662C4×Dic43C2411yescharacteristic
663C4×Dic43C2411yescharacteristic
664C2×C43⋊C8C2411yescharacteristic
665C2×C43⋊C8C2411yescharacteristic
666C2×C43⋊C8C2411yescharacteristic
667C2×C43⋊C8C2411yescharacteristic
668#10621872—41no—
669#10621872—41no—
670#10621872—41no—
671C8×D43—41no—
672C23×C43—21no—
673C23×C43—21no—
674C23×C43C22×D411yescharacteristic
675C22×D43—21no—
676C22×D43—21no—
677C22×D43—42no—
678C22×D43—42no—
679C22×D43—42no—
680C22×D43—81no—
681C22×D43—81no—
682C22×D43—81no—
683C22×D43C22×D411yescharacteristic
684C22×D43C22×D411yescharacteristic
685Q8×C43—21no—
686Q8×C43—21no—
687Q8×C43—21no—
688Q8×C43—21no—
689Q8×C43—81no—
690Q8×C43—81no—
691D4×C43—21no—
692D4×C43—21no—
693D4×C43—21no—
694D4×C43—21no—
695D4×C43—81no—
696D4×C43—81no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—81no—
706C2×C4×C43—81no—
707C2×C4×C43C22×D411yescharacteristic
708C2×C4×C43C22×D411yescharacteristic
709C2×C4×C43C22×D411yescharacteristic
710C2×C4×C43C22×D411yescharacteristic
711C2×C4×C43C22×D411yescharacteristic
712C2×C4×C43C2511yescharacteristic
713C22⋊D43—41no—
714C22⋊D43—41no—
715C22⋊D43—42no—
716C22⋊D43—81no—
717C22⋊D43—81no—
718C22⋊D43—81no—
719C22⋊D43—81no—
720C22⋊D43—81no—
721C2×Dic43—21no—
722C2×Dic43—21no—
723C2×Dic43—21no—
724C2×Dic43—21no—
725C2×Dic43—21no—
726C2×Dic43—21no—
727C2×Dic43—81no—
728C2×Dic43—81no—
729C2×Dic43—81no—
730C2×Dic43—81no—
731C2×Dic43C22×D411yescharacteristic
732C2×Dic43C22×D411yescharacteristic
733C2×Dic43C22×D411yescharacteristic
734C2×Dic43C22×D411yescharacteristic
735C2×Dic43C22×D411yescharacteristic
736C2×Dic43C22×D411yescharacteristic
737D172—21no—
738D172—21no—
739D172—21no—
740D172—41no—
741D172—42no—
742D172—42no—
743D172—42no—
744D172—81no—
745D1722−1+412yes—
746C4×D43—21no—
747C4×D43—21no—
748C4×D43—21no—
749C4×D43—21no—
750C4×D43—41no—
751C4×D43—41no—
752C4×D43—42no—
753C4×D43—42no—
754C4×D43—81no—
755C4×D43—81no—
756C4×D43—81no—
757C4×D43—81no—
758C4×D43—81no—
759C4×D43—81no—
760C4×D43—81no—
761C4×D43—81no—
762Dic86—41no—
763Dic86—81no—
764Dic86—81no—
765Dic86—81no—
766C8×C43—21no—
767C8×C43—21no—
768C8×C43—21no—
769C8×C43—21no—
770C43⋊C8—21no—
771C43⋊C8—21no—
772C43⋊C8—21no—
773C43⋊C8—21no—
774#62175—431nomaximal, Sylow
775C22×C43—21no—
776C22×C43—21no—
777C22×C43—21no—
778C22×C43—41no—
779C22×C43—41no—
780C22×C43—41no—
781C22×C43—41no—
782C22×C43—41no—
783C22×C43—41no—
784C22×C43C23×D411yescharacteristic
785C2×D43—21no—
786C2×D43—21no—
787C2×D43—21no—
788C2×D43—21no—
789C2×D43—22no—
790C2×D43—21no—
791C2×D43—21no—
792C2×D43—41no—
793C2×D43—41no—
794C2×D43—41no—
795C2×D43—41no—
796C2×D43—41no—
797C2×D43—84no—
798C2×D43—162no—
799C4×C43—21no—
800C4×C43—21no—
801C4×C43—21no—
802C4×C43—21no—
803C4×C43—21no—
804C4×C43—41no—
805C4×C43—41no—
806C4×C43—41no—
807C4×C43—41no—
808C4×C43—41no—
809C4×C43—41no—
810C4×C43C2×2−1+411yescharacteristic
811C4×C43#58511yescharacteristic
812Dic43—21no—
813Dic43—21no—
814Dic43—21no—
815Dic43—21no—
816Dic43—21no—
817Dic43—21no—
818Dic43—41no—
819Dic43—41no—
820Dic43—41no—
821Dic43—41no—
822Dic43—41no—
823Dic43—41no—
824#3565—431no—
825#3513—431no—
826#3389—431no—
827#3381—431no—
828#3371—431no—
829#3361—431no—
830#3354—431no—
831#3351—431no—
832#3351—431no—
833#3349—431no—
834#3343—431no—
835#3339—431no—
836#3324—431no—
837#3323—431no—
838#3322—431no—
839#3319—431no—
840#3318—431no—
841#3296—431no—
842#3262D4311yescharacteristic, complemented
843#3257—431no—
844#3256—431no—
845#3244—431no—
846#3241—431no—
847#3233—431no—
848#3125—431no—
849#3118—431no—
850#3105—431no—
851#3083—431no—
852#3081—431no—
853#3077—431no—
854#2993—431no—
855C2×C43—41no—
856C2×C43—81no—
857C2×C43—81no—
858C2×C43#348911yescharacteristic
859C2×C43#358411yescharacteristic
860C2×C43#358511yescharacteristic
861D43—41no—
862D43—41no—
863D43—42no—
864D43—81no—
865#563—861no—
866#562—861no—
867#559—431no—
868#557—431no—
869#556—431no—
870#556—861no—
871#555—431no—
872#554—431no—
873#554—431no—
874#553—431no—
875#553—431no—
876#553—431no—
877#553—861no—
878#552—431no—
879#552—431no—
880#552—431no—
881#552—861no—
882#551—861no—
883#551—861no—
884#547—431no—
885#546—431no—
886#546—431no—
887#546—861no—
888D42—431no—
889#544—431no—
890#544—431no—
891#542—431no—
892#542—861no—
893#542—861no—
894#542C2×D4311yescharacteristic
895#542C2×D4311yescharacteristic, complemented
896#541—861no—
897#540—431no—
898#539—861no—
899#539—861no—
900#538—861no—
901#533—431no—
902#529—431no—
903#529—431no—
904#529—431no—
905#525—861no—
906C2×#123—861no—
907#520—431no—
908#518—431no—
909C2×C4×D4—431no—
910#501—431no—
911#501—431no—
912#499—431no—
913#499—431no—
914#499—431no—
915#498—431no—
916#490—431no—
917#489—431no—
918#488—431no—
919#488—431no—
920#488—431no—
921#486—431no—
922#485—431no—
923#485—431no—
924#485—431no—
925#485—431no—
926#484—431no—
927#483—431no—
928#483—431no—
929#482—431no—
930#482—431no—
931#482—431no—
932#482—431no—
933#482—431no—
934#482—431no—
935#481—431no—
936#481—431no—
937#481—431no—
938#481—431no—
939#480—431no—
940#479—431no—
941#479—431no—
942#479—431no—
943#479—431no—
944#478—431no—
945#478—431no—
946#478—431no—
947#478—431no—
948#478—431no—
949#478—431no—
950#478—431no—
951#478—431no—
952#478—431no—
953#478—431no—
954#478—431no—
955#478—431no—
956#477—431no—
957#477C2×D4311yescharacteristic, complemented
958#477C2×D4311yescharacteristic, complemented
959#476—431no—
960#476—431no—
961#476—431no—
962#476—431no—
963#475—431no—
964#474—431no—
965#474—431no—
966#474—431no—
967#474—431no—
968#474C2×D4311yescharacteristic, complemented
969#474C2×D4311yescharacteristic, complemented
970#470—431no—
971#469—431no—
972#469—431no—
973#468—431no—
974#468—431no—
975#468—431no—
976#468C2×D4311yescharacteristic
977#468C2×D4311yescharacteristic, complemented
978#467C2×D4311yescharacteristic, complemented
979#466—431no—
980#466C2×D4311yescharacteristic
981#465—431no—
982#464—431no—
983#464C2×D4311yescharacteristic, complemented
984#464C2×D4311yescharacteristic, complemented
985#463—431no—
986#463—431no—
987#463—431no—
988#463C2×D4311yescharacteristic, complemented
989#463C2×D4311yescharacteristic, complemented
990#460—431no—
991#459—431no—
992#452—431no—
993#450—431no—
994#450—431no—
995#449—431no—
996#447—431no—
997#447—431no—
998#446—431no—
999C8×Q8—431no—
1000#442—431no—
1001#442—431no—
1002#441—431no—
1003#440—431no—
1004C4×SD16—431no—
1005C4×SD16—431no—
1006C4×SD16—431no—
1007C4×SD16—431no—
1008C4×SD16—431no—
1009C4×D8—431no—
1010C4×D8—431no—
1011C4×D8—431no—
1012#436—431no—
1013#436—431no—
1014#436—431no—
1015#435—431no—
1016#435—431no—
1017C8×D4—431no—
1018#433—431no—
1019#433—431no—
1020#431—431no—
1021#428—431no—
1022#428—431no—
1023#428—431no—
1024#428—431no—
1025#427—431no—
1026C2×#107—431no—
1027#424—431no—
1028#424C2×D4311yescharacteristic, complemented
1029#423—431no—
1030#418—431no—
1031#418—431no—
1032#418—431no—
1033#417—431no—
1034#416—431no—
1035C2×#102—431no—
1036C43#6217511yescharacteristic, complemented, Sylow
1037C2×#41—431no—
1038C2×#41—861no—
1039C22×D4—431no—
1040C22×D4—431no—
1041C22×D4—861no—
1042C23×C4—861no—
1043C2×Q16C22×D4311yescharacteristic
1044C2×SD16—431no—
1045C2×SD16—431no—
1046C2×SD16C22×D4311yescharacteristic
1047C2×SD16C22×D4311yescharacteristic
1048C2×D8—431no—
1049C2×D8—431no—
1050C2×D8C22×D4311yescharacteristic
1051C2×M16—431no—
1052C2×M16—431no—
1053C2×M16—431no—
1054C2×M16C22×D4311yescharacteristic
1055C22×C8—431no—
1056C22×C8C22×D4311yescharacteristic
1057C4⋊Q8—431no—
1058C4⋊Q8—431no—
1059C4⋊Q8—431no—
1060C4⋊Q8—861no—
1061C4⋊Q8—861no—
1062C4⋊Q8—861no—
1063C4⋊Q8C22×D4311yescharacteristic
1064C4⋊Q8C22×D4311yescharacteristic
1065#127—431no—
1066#126—21no—
1067#126—21no—
1068#126—431no—
1069#126—431no—
1070#126—861no—
1071#126—861no—
1072#126—861no—
1073#126—861no—
1074#126—861no—
1075#126—861no—
1076#126—861no—
1077#126—861no—
1078#126—861no—
1079#126—861no—
1080#126—861no—
1081#125—431no—
1082#125—431no—
1083#125—431no—
1084#125—431no—
1085#125—431no—
1086#125—431no—
1087#125—431no—
1088#125—431no—
1089#125—861no—
1090#125—861no—
1091#125—861no—
1092#125—861no—
1093#125—861no—
1094#125—861no—
1095#125—861no—
1096#124—21no—
1097#124—21no—
1098#124—431no—
1099#124—431no—
1100#124—861no—
1101#124—861no—
1102#124—861no—
1103#124—861no—
1104#124—861no—
1105#124C22×D4311yescharacteristic
1106#124C22×D4311yescharacteristic
1107#123—21no—
1108#123—21no—
1109#123—431no—
1110#123—431no—
1111#123—861no—
1112#123—861no—
1113#123—861no—
1114#123—861no—
1115#123—861no—
1116#123—861no—
1117#123—861no—
1118#123—861no—
1119#123—861no—
1120#123—861no—
1121#123—861no—
1122#123—861no—
1123#123—861no—
1124#123—861no—
1125#123—861no—
1126#123—861no—
1127#123—861no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—431no—
1131C22⋊Q8—431no—
1132C22⋊Q8—431no—
1133C22⋊Q8—431no—
1134C22⋊Q8—861no—
1135C22⋊Q8—861no—
1136C22⋊Q8—861no—
1137C22⋊Q8—861no—
1138C22⋊Q8—861no—
1139C22⋊Q8—861no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144C22⋊Q8—861no—
1145C22⋊Q8—861no—
1146C22⋊Q8—861no—
1147C22⋊Q8—861no—
1148C22⋊Q8C22×D4311yescharacteristic
1149C22⋊Q8C22×D4311yescharacteristic
1150#121—431no—
1151#121—431no—
1152#121—431no—
1153#121—431no—
1154#121—431no—
1155#121—431no—
1156#121—861no—
1157#121—861no—
1158#121—861no—
1159#121—861no—
1160#121—861no—
1161#121—861no—
1162#121—861no—
1163#121—861no—
1164#121—861no—
1165#121C22×D4311yescharacteristic
1166#121C22×D4311yescharacteristic
1167#120—861no—
1168#120—861no—
1169#120—861no—
1170#120—861no—
1171C4×Q8—431no—
1172C4×Q8—431no—
1173C4×Q8—431no—
1174C4×Q8—431no—
1175C4×Q8—861no—
1176C4×Q8—861no—
1177C4×Q8—861no—
1178C4×Q8—861no—
1179C4×Q8C22×D4311yescharacteristic
1180C4×Q8C22×D4311yescharacteristic
1181C4×D4—431no—
1182C4×D4—431no—
1183C4×D4—431no—
1184C4×D4—431no—
1185C4×D4—431no—
1186C4×D4—431no—
1187C4×D4—431no—
1188C4×D4—431no—
1189C4×D4—431no—
1190C4×D4—431no—
1191C4×D4—431no—
1192C4×D4—431no—
1193C4×D4—861no—
1194C4×D4—861no—
1195C4×D4—861no—
1196C4×D4—861no—
1197C4×D4—861no—
1198C4×D4—861no—
1199C4×D4—861no—
1200C4×D4—861no—
1201C4×D4—861no—
1202C4×D4—861no—
1203C4×D4—861no—
1204C4×D4—861no—
1205C4×D4C22×D4311yescharacteristic
1206C4×D4C22×D4311yescharacteristic
1207#117—431no—
1208#117—431no—
1209#117—431no—
1210#117—431no—
1211#117—431no—
1212#117—431no—
1213#117—861no—
1214#117—861no—
1215#117—861no—
1216#117—861no—
1217#117—861no—
1218#117—861no—
1219#117—861no—
1220#117C22×D4311yescharacteristic
1221C2×C4⋊C4—431no—
1222C2×C4⋊C4—431no—
1223C2×C4⋊C4—431no—
1224C2×C4⋊C4—431no—
1225C2×C4⋊C4—861no—
1226C2×C4⋊C4—861no—
1227C2×C4⋊C4—861no—
1228C2×C22⋊C4—861no—
1229C2×C22⋊C4—861no—
1230C2×C22⋊C4—861no—
1231C2×C22⋊C4—861no—
1232C2×C22⋊C4—861no—
1233C2×C42—431no—
1234#107—431no—
1235#107—431no—
1236#107—431no—
1237#107—431no—
1238#107—431no—
1239#107—431no—
1240#107—431no—
1241#107—431no—
1242#107C22×D4311yescharacteristic
1243#107C22×D4311yescharacteristic
1244#107C22×D4311yescharacteristic
1245#107C22×D4311yescharacteristic
1246#106—431no—
1247#106—431no—
1248#106—431no—
1249#106—431no—
1250#106—431no—
1251#106—431no—
1252#106—431no—
1253#106—431no—
1254#106—431no—
1255#106—431no—
1256#106—431no—
1257#106—431no—
1258C4⋊C8—431no—
1259C4⋊C8—431no—
1260C4⋊C8—431no—
1261C4⋊C8—431no—
1262C4⋊C8—431no—
1263C4⋊C8—431no—
1264C4⋊C8C22×D4311yescharacteristic
1265C4⋊C8C22×D4311yescharacteristic
1266C4⋊C8C22×D4311yescharacteristic
1267C4⋊C8C22×D4311yescharacteristic
1268#103—431no—
1269#103—431no—
1270#103—431no—
1271#103—431no—
1272#103—431no—
1273#103—431no—
1274#103C22×D4311yescharacteristic
1275#103C22×D4311yescharacteristic
1276#103C22×D4311yescharacteristic
1277#103C22×D4311yescharacteristic
1278#102—431no—
1279#102—431no—
1280#102—431no—
1281#102—431no—
1282#102—431no—
1283#102—431no—
1284#102—431no—
1285#102—431no—
1286#102—431no—
1287#102—431no—
1288#102—431no—
1289#102—431no—
1290#102—431no—
1291#102—431no—
1292#102—431no—
1293#102—431no—
1294#102—431no—
1295#102—431no—
1296#102C22×D4311yescharacteristic
1297#102C22×D4311yescharacteristic
1298#102C22×D4311yescharacteristic
1299#102C22×D4311yescharacteristic
1300C22⋊C8—431no—
1301C22⋊C8—431no—
1302C22⋊C8—431no—
1303C22⋊C8—431no—
1304C22⋊C8—431no—
1305C22⋊C8—431no—
1306#97—431no—
1307#97—431no—
1308C4×C8—431no—
1309C4×C8—431no—
1310C4×C8—431no—
1311C4×C8—431no—
1312C24—861no—
1313C24—861no—
1314#41—862no—
1315#41—3442no—
1316#41—1721no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—431no—
1320C2×Q8—861no—
1321C2×Q8—861no—
1322C2×Q8—861no—
1323C2×Q8C23×D4311yescharacteristic
1324C2×Q8C23×D4311yescharacteristic
1325C2×D4—21no—
1326C2×D4—21no—
1327C2×D4—431no—
1328C2×D4—431no—
1329C2×D4—431no—
1330C2×D4—431no—
1331C2×D4—431no—
1332C2×D4—862no—
1333C2×D4—861no—
1334C2×D4—861no—
1335C2×D4—861no—
1336C2×D4—861no—
1337C2×D4—861no—
1338C2×D4—861no—
1339C2×D4—862no—
1340C2×D4—861no—
1341C2×D4—861no—
1342C2×D4—861no—
1343C2×D4—861no—
1344C2×D4—3442no—
1345C2×D4—1721no—
1346C2×D4—1721no—
1347C2×D4C23×D4311yescharacteristic
1348C2×D4C23×D4311yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—431no—
1352C22×C4—431no—
1353C22×C4—431no—
1354C22×C4—431no—
1355C22×C4—861no—
1356C22×C4—861no—
1357C22×C4—861no—
1358C22×C4—861no—
1359C22×C4—861no—
1360C22×C4—861no—
1361C22×C4—861no—
1362C22×C4—861no—
1363C22×C4—861no—
1364C22×C4—861no—
1365C22×C4—861no—
1366C22×C4—861no—
1367C22×C4—861no—
1368C22×C4—861no—
1369C22×C4—3442no—
1370C22×C4C23×D4311yescharacteristic
1371Q16—41no—
1372SD16—41no—
1373SD16—41no—
1374SD16—862no—
1375SD16—1721no—
1376D8—41no—
1377D8—862no—
1378D8—1721no—
1379M16—41no—
1380M16—1721no—
1381M16—1721no—
1382M16—1721no—
1383C2×C8—41no—
1384C2×C8—431no—
1385C2×C8—431no—
1386C2×C8—431no—
1387C2×C8—431no—
1388C2×C8—1721no—
1389C2×C8C23×D4311yescharacteristic
1390C2×C8C23×D4311yescharacteristic
1391C2×C8C23×D4311yescharacteristic
1392C2×C8C23×D4311yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—431no—
1400C4⋊C4—431no—
1401C4⋊C4—431no—
1402C4⋊C4—431no—
1403C4⋊C4—431no—
1404C4⋊C4—431no—
1405C4⋊C4—431no—
1406C4⋊C4—431no—
1407C4⋊C4—431no—
1408C4⋊C4—431no—
1409C4⋊C4—431no—
1410C4⋊C4—431no—
1411C4⋊C4—431no—
1412C4⋊C4—431no—
1413C4⋊C4—861no—
1414C4⋊C4—861no—
1415C4⋊C4—861no—
1416C4⋊C4—861no—
1417C4⋊C4—861no—
1418C4⋊C4—861no—
1419C4⋊C4—861no—
1420C4⋊C4—861no—
1421C4⋊C4—861no—
1422C4⋊C4—861no—
1423C4⋊C4—861no—
1424C4⋊C4—861no—
1425C4⋊C4—861no—
1426C4⋊C4—861no—
1427C4⋊C4—861no—
1428C4⋊C4—861no—
1429C4⋊C4—861no—
1430C4⋊C4—861no—
1431C4⋊C4—861no—
1432C4⋊C4—861no—
1433C4⋊C4—861no—
1434C4⋊C4—861no—
1435C4⋊C4—861no—
1436C4⋊C4—861no—
1437C4⋊C4—861no—
1438C4⋊C4—861no—
1439C4⋊C4—861no—
1440C4⋊C4D4×D4311yescharacteristic
1441C4⋊C4D4×D4311yescharacteristic
1442C4⋊C4C23×D4311yescharacteristic
1443C4⋊C4C23×D4311yescharacteristic
1444C4⋊C4C23×D4311yescharacteristic
1445C4⋊C4C23×D4311yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—431no—
1457C22⋊C4—431no—
1458C22⋊C4—431no—
1459C22⋊C4—431no—
1460C22⋊C4—431no—
1461C22⋊C4—431no—
1462C22⋊C4—431no—
1463C22⋊C4—431no—
1464C22⋊C4—861no—
1465C22⋊C4—861no—
1466C22⋊C4—861no—
1467C22⋊C4—861no—
1468C22⋊C4—861no—
1469C22⋊C4—861no—
1470C22⋊C4—861no—
1471C22⋊C4—861no—
1472C22⋊C4—861no—
1473C22⋊C4—861no—
1474C22⋊C4—861no—
1475C22⋊C4—861no—
1476C22⋊C4—861no—
1477C22⋊C4—861no—
1478C22⋊C4—861no—
1479C22⋊C4—861no—
1480C22⋊C4—861no—
1481C22⋊C4—861no—
1482C22⋊C4—861no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4D4×D4311yescharacteristic
1489C22⋊C4D4×D4311yescharacteristic
1490C42—21no—
1491C42—21no—
1492C42—431no—
1493C42—431no—
1494C42—431no—
1495C42—431no—
1496C42—861no—
1497C42—861no—
1498C42—861no—
1499C42—861no—
1500C42—861no—
1501C42—861no—
1502C42—861no—
1503C42—861no—
1504C42C23×D4311yescharacteristic
1505C42C23×D4311yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—431no—
1509C23—431no—
1510C23—861no—
1511C23—861no—
1512C23—3441no—
1513C23—3441no—
1514C23—3441no—
1515C23—1722no—
1516C23—1722no—
1517C23—1722no—
1518C23C2×D4×D4311yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—21no—
1522Q8—21no—
1523Q8—81no—
1524Q8—81no—
1525Q8—3441no—
1526Q8—3441no—
1527Q8—3441no—
1528Q8—1721no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—21no—
1533D4—81no—
1534D4—81no—
1535D4—432no—
1536D4—861no—
1537D4—861no—
1538D4—861no—
1539D4—3441no—
1540D4—3441no—
1541D4—3441no—
1542D4—3441no—
1543D4—3441no—
1544D4—3441no—
1545D4—1721no—
1546D4—1722no—
1547D4—1722no—
1548D4—1722no—
1549D4—1721no—
1550D4—1721no—
1551D4—1722no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—81no—
1561C2×C4—81no—
1562C2×C4—431no—
1563C2×C4—431no—
1564C2×C4—431no—
1565C2×C4—431no—
1566C2×C4—431no—
1567C2×C4—431no—
1568C2×C4—861no—
1569C2×C4—861no—
1570C2×C4—861no—
1571C2×C4—861no—
1572C2×C4—861no—
1573C2×C4—861no—
1574C2×C4—861no—
1575C2×C4—861no—
1576C2×C4—861no—
1577C2×C4—861no—
1578C2×C4—3441no—
1579C2×C4—3441no—
1580C2×C4—3441no—
1581C2×C4—3441no—
1582C2×C4—3441no—
1583C2×C4—3441no—
1584C2×C4—3441no—
1585C2×C4—3441no—
1586C2×C4—3441no—
1587C2×C4—3441no—
1588C2×C4—3441no—
1589C2×C4—3441no—
1590C2×C4—1721no—
1591C2×C4—1721no—
1592C2×C4—1722no—
1593C2×C4—1722no—
1594C2×C4C2×D4×D4311yescharacteristic
1595C2×C4C2×D4×D4311yescharacteristic
1596C2×C4C2×D4×D4311yescharacteristic
1597C2×C4C2×D4×D4311yescharacteristic
1598C2×C4C2×D4×D4311yescharacteristic
1599C2×C4C24×D4311yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—861no—
1605C8—861no—
1606C8—861no—
1607C8—861no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—861no—
1618C22—861no—
1619C22—861no—
1620C22—861no—
1621C22—861no—
1622C22—861no—
1623C22—862no—
1624C22—3444no—
1625C22—1721no—
1626C22—1721no—
1627C22—1721no—
1628C22—1721no—
1629C22—1721no—
1630C22—6882no—
1631C22C22×D4×D4311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—861no—
1644C4—861no—
1645C4—861no—
1646C4—861no—
1647C4—861no—
1648C4—861no—
1649C4—1721no—
1650C4—1721no—
1651C4—1721no—
1652C4—1721no—
1653C4—1721no—
1654C4—1721no—
1655C42−1+4×D4311yescharacteristic
1656C4#1458373411yescharacteristic
1657C2—41no—
1658C2—81no—
1659C2—81no—
1660C2—3441no—
1661C2—1721no—
1662C2—1721no—
1663C2—1722no—
1664C2#1914827011yescharacteristic
1665C2#1914936511yescharacteristic
1666C2#1914937011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3262C2
socleC22×C43C23×D4
hypercenter#3262D43
hypocenterC43#62175
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3262

Complements

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

NH ≅ G/Ntype
1. #19149242C2semidirect
2. #19148541C2semidirect
3. #19147548C2semidirect
4. #19147469C2semidirect
5. #19147360C2semidirect
6. #19147250C2semidirect
7. #19147193C2semidirect
8. #19147161C2semidirect
9. #19147150C2semidirect
10. #19147131C2semidirect
11. #19147032C2semidirect
12. #19146992C2semidirect
13. #19146821C2semidirect
14. #19146818C2semidirect
15. #19146802C2semidirect
16. #19146758C2semidirect
17. #19146742C2semidirect
18. #19146436C2semidirect
19. #19146003C2semidirect
20. #19145994C2semidirect
21. #19145887C2semidirect
22. #19145855C2semidirect
23. #19145779C2semidirect
24. #19144871C2semidirect
25. #19144773C2semidirect
26. #19144641C2semidirect
27. #19144443C2semidirect
28. #19144427C2semidirect
29. #19144387C2semidirect
30. #19143742C2semidirect
31. C43×#3262C2semidirect
35. #14583628C22semidirect
38. #14583614C22semidirect
40. #14583608C22semidirect
44. #14583596C22semidirect
45. #14583591C22semidirect
46. #14583590C22semidirect
56. #14583527C22semidirect
57. #14583526C22semidirect
59. #14583518C22semidirect
66. #14583454C22semidirect
68. #14583428C22semidirect
75. #14583307C22semidirect
76. #14583305C22semidirect
77. #14583300C22semidirect
78. #14583300C22semidirect
79. #14583300C22semidirect
80. #14583295C22semidirect
82. #14583258C22semidirect
83. #14583255C22semidirect
84. #14583255C22semidirect
85. #14583253C22semidirect
87. #14583239C22semidirect
88. #14583239C22semidirect
89. #14583237C22semidirect
90. #14583237C22semidirect
91. #14583233C22semidirect
92. #14583228C22semidirect
93. #14583227C22semidirect
96. #14583226C22semidirect
97. #14583221C22semidirect
99. #14583220C22semidirect
100. #14583216C22semidirect
101. #14583216C22semidirect
102. #14583216C22semidirect
104. #14583214C22semidirect
105. #14583208C22semidirect
106. #14583208C22semidirect
107. #14583206C22semidirect
108. #14583204C22semidirect
112. #14583201C22semidirect
113. #14583201C22semidirect
114. #14583201C22semidirect
117. #14583200C22semidirect
118. #14583200C22semidirect
119. #14583199C22semidirect
120. #14583197C22semidirect
121. #14583192C22semidirect
123. #14583190C22semidirect
124. #14583189C22semidirect
125. #14583186C22semidirect
126. #14583184C22semidirect
128. #14583180C22semidirect
131. #14583154C22semidirect
133. #14583151C22semidirect
135. #14583142C22semidirect
136. #14583142C22semidirect
137. #14583132C22semidirect
138. #14583131C22semidirect
139. #14583123C22semidirect
140. #14583116C22semidirect
142. #14583111C22semidirect
151. #14583028C22semidirect
152. #14583023C22semidirect
155. #14583006C22semidirect
156. #14582997C22semidirect
157. SD16×Dic43C22semidirect
158. SD16×Dic43C22semidirect
162. D8×Dic43C22semidirect
163. C4×#10621882C22semidirect
165. #14582976C22semidirect
167. #14582975C22semidirect
169. #14582969C22semidirect
170. C8×C22⋊D43C22semidirect
171. #14582960C22semidirect
172. #14582959C22semidirect
173. #14582951C22semidirect
174. #14582941C22semidirect
175. #14582940C22semidirect
176. #14582940C22semidirect
177. #14582940C22semidirect
178. #14582937C22semidirect
179. #107×D43C22semidirect
180. #14582924C22semidirect
181. #14582921C22semidirect
189. C43×#542C22semidirect
190. C43×#477C22semidirect
191. C43×#477C22semidirect
192. C43×#474C22semidirect
193. C43×#474C22semidirect
195. C43×#468C22semidirect
196. C43×#467C22semidirect
198. C43×#464C22semidirect
199. C43×#464C22semidirect
200. C43×#463C22semidirect
201. C43×#463C22semidirect
202. C43×#424C22semidirect
842. #3262D43semidirect
895. #542C2×D43semidirect
957. #477C2×D43semidirect
958. #477C2×D43semidirect
968. #474C2×D43semidirect
969. #474C2×D43semidirect
977. #468C2×D43semidirect
978. #467C2×D43semidirect
983. #464C2×D43semidirect
984. #464C2×D43semidirect
988. #463C2×D43semidirect
989. #463C2×D43semidirect
1028. #424C2×D43semidirect
1036. C43#62175semidirect

Maximal subgroups

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

subgroupindex
#191492422
#191485412
#191475482
#191474692
#191473602
#191472502
#191471932
#191471612
#191471502
#191471312
#191470322
#191469922
#191468212
#191468182
#191468022
#191467582
#191467422
#191464362
#191460032
#191459942
#191458872
#191458552
#191457792
#191448712
#191447732
#191446412
#191444432
#191444272
#191443872
#191437422
C43×#32622
#6217543