Finite Group Databasebeta

← #25979804

Subgroups — #25979804

Order 11008.

1886 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148601C211yesmaximal, characteristic, complemented
2#19148529C211yesmaximal, characteristic, complemented
3#19147632C211yesmaximal, characteristic, complemented
4#19147543C211yesmaximal, characteristic, complemented
5#19147360C211yesmaximal, characteristic, complemented
6#19147305C211yesmaximal, characteristic, complemented
7#19147153C211yesmaximal, characteristic, complemented
8#19147068C211yesmaximal, characteristic, complemented
9#19147062C211yesmaximal, characteristic, complemented
10#19146915C211yesmaximal, characteristic, complemented
11#19146794C211yesmaximal, characteristic, complemented
12#19146739C211yesmaximal, characteristic, complemented
13#19146714C211yesmaximal, characteristic, complemented
14#19146598C211yesmaximal, characteristic, complemented
15#19146563C211yesmaximal, characteristic, complemented
16#19146208C211yesmaximal, characteristic, complemented
17#19146138C211yesmaximal, characteristic, complemented
18#19146130C211yesmaximal, characteristic, complemented
19#19145276C211yesmaximal, characteristic, complemented
20#19145243C211yesmaximal, characteristic, complemented
21#19145191C211yesmaximal, characteristic, complemented
22#19144870C211yesmaximal, characteristic, complemented
23#19144837C211yesmaximal, characteristic, complemented
24#19144792C211yesmaximal, characteristic, complemented
25#19144792C211yesmaximal, characteristic, complemented
26#19144687C211yesmaximal, characteristic, complemented
27#19143575C211yesmaximal, characteristic, complemented
28#19143475C211yesmaximal, characteristic, complemented
29#19143426C211yesmaximal, characteristic, complemented
30C4×#13063350C211yesmaximal, characteristic, complemented
31C43×#3111C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33C2×#13063350C2211yescharacteristic
34C2×#13063348C2211yescharacteristic
35#14583631C2211yescharacteristic
36#14583628C2211yescharacteristic, complemented
37#14583605C2211yescharacteristic
38#14583602C2211yescharacteristic
39#14583593—21no—
40#14583593—21no—
41#14583593—21no—
42#14583593C2211yescharacteristic
43#14583593C2211yescharacteristic, complemented
44#14583591C2211yescharacteristic
45#14583578—21no—
46#14583573—21no—
47#14583571C2211yescharacteristic, complemented
48#14583570—21no—
49#14583570C2211yescharacteristic, complemented
50#14583568C2211yescharacteristic
51#14583568C2211yescharacteristic, complemented
52#14583554—21no—
53#14583554C2211yescharacteristic, complemented
54#14583549C2211yescharacteristic
55#14583544—21no—
56#14583542C2211yescharacteristic
57#14583540C2211yescharacteristic
58#14583533C2211yescharacteristic
59#14583521C2211yescharacteristic
60#14583500—21no—
61#14583500—21no—
62#14583500C2211yescharacteristic
63#14583500C2211yescharacteristic, complemented
64#14583500C2211yescharacteristic, complemented
65#14583490—21no—
66#14583488—21no—
67#14583449—21no—
68#14583449C2211yescharacteristic, complemented
69#14583433—21no—
70#14583433C2211yescharacteristic
71#14583407—21no—
72#123×D43—21no—
73#14583381C2211yescharacteristic
74#14583381C2211yescharacteristic, complemented
75#14583381C2211yescharacteristic, complemented
76#14583371C2211yescharacteristic
77C2×C4×D172C2211yescharacteristic
78#14583309C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583299C2211yescharacteristic, complemented
81#14583289C2211yescharacteristic, complemented
82#14583285C2211yescharacteristic, complemented
83#14583274C2211yescharacteristic
84#14583265C2211yescharacteristic, complemented
85#14583262C2211yescharacteristic
86#14583262C2211yescharacteristic, complemented
87#14583258C2211yescharacteristic, complemented
88#14583255C2211yescharacteristic, complemented
89#14583244C2211yescharacteristic, complemented
90#14583228C2211yescharacteristic, complemented
91#14583225C2211yescharacteristic, complemented
92#14583222C2211yescharacteristic, complemented
93#14583219C2211yescharacteristic
94#14583218C2211yescharacteristic, complemented
95#14583218C2211yescharacteristic, complemented
96#14583216C2211yescharacteristic, complemented
97#14583216C2211yescharacteristic, complemented
98#14583214C2211yescharacteristic, complemented
99#14583214C2211yescharacteristic, complemented
100#14583204C2211yescharacteristic, complemented
101#14583204C2211yescharacteristic, complemented
102#14583202C2211yescharacteristic
103#14583202C2211yescharacteristic, complemented
104#14583201C2211yescharacteristic, complemented
105#14583198C2211yescharacteristic
106#14583190C2211yescharacteristic
107#14583190C2211yescharacteristic, complemented
108#14583188C2211yescharacteristic, complemented
109#14583182C2211yescharacteristic, complemented
110#14583153C2211yescharacteristic, complemented
111#14583151C2211yescharacteristic
112#14583150C2211yescharacteristic
113#14583150C2211yescharacteristic
114#14583149C2211yescharacteristic, complemented
115#14583148C2211yescharacteristic, complemented
116#14583147C2211yescharacteristic, complemented
117#14583147C2211yescharacteristic, complemented
118#14583136C2211yescharacteristic
119#14583134C2211yescharacteristic, complemented
120#14583134C2211yescharacteristic, complemented
121#14583125C2211yescharacteristic, complemented
122#14583123C2211yescharacteristic, complemented
123#14583117C2211yescharacteristic, complemented
124#14583097C2211yescharacteristic
125#14583097C2211yescharacteristic, complemented
126#14583095C2211yescharacteristic
127#14583095C2211yescharacteristic, complemented
128#14583093C2211yescharacteristic
129#14583093C2211yescharacteristic
130#14583093C2211yescharacteristic
131#14583092C2211yescharacteristic, complemented
132#14583060C2211yescharacteristic, complemented
133#14583047C2211yescharacteristic
134#14583047C2211yescharacteristic
135#14583047C2211yescharacteristic, complemented
136#14583043C2211yescharacteristic
137#14583043C2211yescharacteristic, complemented
138#14583035C2211yescharacteristic
139#14583035C2211yescharacteristic
140#14583034C2211yescharacteristic
141#14583031C2211yescharacteristic
142#14583028C2211yescharacteristic, complemented
143#14583028C2211yescharacteristic, complemented
144#14583012C2211yescharacteristic
145#14583012C2211yescharacteristic
146#14583012C2211yescharacteristic, complemented
147#14583012C2211yescharacteristic, complemented
148#14583010C2211yescharacteristic
149#14583009C2211yescharacteristic
150#14583009C2211yescharacteristic, complemented
151#14583008C2211yescharacteristic, complemented
152#14583006C2211yescharacteristic, complemented
153#14583002C2211yescharacteristic
154#14582997C2211yescharacteristic
155#14582997C2211yescharacteristic, complemented
156SD16×Dic43C2211yescharacteristic, complemented
157C4×#10621884C2211yescharacteristic
158C4×#10621884C2211yescharacteristic, complemented
159C4×#10621884C2211yescharacteristic, complemented
160C4×#10621884C2211yescharacteristic, complemented
161#14582984C2211yescharacteristic
162#14582984C2211yescharacteristic, complemented
163#14582981C2211yescharacteristic
164C4×#10621882C2211yescharacteristic
165C4×#10621882C2211yescharacteristic, complemented
166C4×#10621882C2211yescharacteristic, complemented
167C4×#10621882C2211yescharacteristic, complemented
168#14582974C2211yescharacteristic
169#14582974C2211yescharacteristic, complemented
170#14582973C2211yescharacteristic
171#14582973C2211yescharacteristic, complemented
172#14582969C2211yescharacteristic, complemented
173#14582969C2211yescharacteristic, complemented
174#14582961C2211yescharacteristic, complemented
175#14582961C2211yescharacteristic, complemented
176#14582942C2211yescharacteristic, complemented
177#14582940C2211yescharacteristic, complemented
178#106×D43C2211yescharacteristic, complemented
179#14582903C2211yescharacteristic
180#14582900C2211yescharacteristic, complemented
181#14582899C2211yescharacteristic
182#14582899C2211yescharacteristic, complemented
183#14582894C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic
185#14582856C2211yescharacteristic, complemented
186#14582856C2211yescharacteristic, complemented
187C4×#10621877C2211yescharacteristic, complemented
188C43×#529C2211yescharacteristic
189C4×#41×C43C2211yescharacteristic, complemented
190C43×#485C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic
192C43×#479C2211yescharacteristic, complemented
193C43×#478C2211yescharacteristic, complemented
194C43×#464C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic, complemented
196C43×#452C2211yescharacteristic, complemented
197C43×#449C2211yescharacteristic
198C43×#442C2211yescharacteristic, complemented
199C43×#441C2211yescharacteristic, complemented
200C43×#440C2211yescharacteristic, complemented
201C43×#440C2211yescharacteristic, complemented
202C43×#432C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×#10621902C2311yescharacteristic
206C2×#10621898—21no—
207C2×#10621898—21no—
208C2×#10621898—21no—
209C2×#10621900—21no—
210C22×D172C2311yescharacteristic
211C2×D4×D43—21no—
212C2×D4×D43C2311yescharacteristic
213C22×C4×D43—21no—
214#13063352—24no—
215#13063350—24no—
216#13063348—24no—
217C2×#10621884C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×D344C2311yescharacteristic
222C2×D344C2311yescharacteristic
223C2×D344C2311yescharacteristic
224C2×D344C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621877C2311yescharacteristic
230C2×#10621877C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232C2×#10621872C2311yescharacteristic
233C2×C8×D43C2311yescharacteristic
234C2×C8×D43C2311yescharacteristic
235#13063325—21no—
236#13063325C2311yescharacteristic
237#13063324C2311yescharacteristic
238#13063322—21no—
239#13063322C2311yescharacteristic
240#13063321—21no—
241#13063321—21no—
242#13063321C2311yescharacteristic
243#13063321C2311yescharacteristic
244#13063321C2311yescharacteristic
245#13063320—21no—
246#13063320—21no—
247#13063319—21no—
248#13063319—21no—
249#13063319—21no—
250#13063319D411yescharacteristic
251#13063319D411yescharacteristic
252#13063317D411yescharacteristic
253#13063316—21no—
254#13063316—21no—
255#13063316—21no—
256#13063316C2311yescharacteristic
257#13063316C2311yescharacteristic
258#13063316C2311yescharacteristic
259#13063314C2311yescharacteristic
260#13063313—21no—
261#13063313—21no—
262#13063313D411yescharacteristic
263#13063311—21no—
264#13063310—21no—
265#13063310—21no—
266#13063310—21no—
267#13063309—21no—
268#13063309—21no—
269#13063308—21no—
270#13063308—21no—
271#13063308—21no—
272#13063308D411yescharacteristic
273#13063308D411yescharacteristic
274#13063307—21no—
275#13063307—21no—
276#13063307—21no—
277#13063307—21no—
278#13063307—21no—
279#13063307—21no—
280#13063307—21no—
281#13063307—21no—
282#13063307—21no—
283#13063307—21no—
284#13063306—21no—
285#13063305—21no—
286#13063304—21no—
287#13063304D411yescharacteristic
288#13063303—21no—
289#13063303—21no—
290#13063303—21no—
291#13063302—21no—
292#13063301C2311yescharacteristic
293#13063300—21no—
294#13063300—21no—
295#13063300—21no—
296#13063300—21no—
297#13063300C2311yescharacteristic
298#13063300C2311yescharacteristic
299#13063300C2311yescharacteristic
300#13063300C2311yescharacteristic
301#13063299—21no—
302#13063299—21no—
303#13063299—21no—
304#13063299—21no—
305#13063299—21no—
306#13063299—21no—
307#13063299—21no—
308#13063299D411yescharacteristic
309#13063299C2311yescharacteristic
310#13063299C2311yescharacteristic
311#13063298—21no—
312#13063298—21no—
313#13063298—21no—
314#13063298—21no—
315#13063298—21no—
316#13063298—21no—
317#13063298—21no—
318#13063298—21no—
319#13063298—21no—
320#13063296—21no—
321#13063296—21no—
322#13063296C2311yescharacteristic
323#13063296C2311yescharacteristic
324#13063296C2311yescharacteristic
325#13063295—21no—
326#13063295—21no—
327#13063295—21no—
328#13063293—21no—
329Q8×Dic43C2311yescharacteristic
330Q8×Dic43C2311yescharacteristic
331Q8×Dic43C2311yescharacteristic
332C4×Dic86—21no—
333C4×Dic86C2311yescharacteristic
334C4×D172—21no—
335C4×D172—21no—
336C4×D172—21no—
337C4×D172—21no—
338C4×D172—21no—
339C4×D172—21no—
340C4×D172—21no—
341C4×D172—21no—
342C4×D172—21no—
343C4×D172C2311yescharacteristic
344C4×D172C2311yescharacteristic
345C4×D172C2311yescharacteristic
346C4×D172C2311yescharacteristic
347C4×D172C2311yescharacteristic
348C4×D172C2311yescharacteristic
349C4×D172C2311yescharacteristic
350D4×Dic43C2311yescharacteristic
351#13063287—21no—
352#13063287—21no—
353#13063287—21no—
354#13063287—21no—
355#13063287C2311yescharacteristic
356#13063287C2311yescharacteristic
357#13063287C2311yescharacteristic
358#13063287C2311yescharacteristic
359C4×C22⋊D43—21no—
360C4×C22⋊D43—21no—
361C4×C22⋊D43—21no—
362C4×C22⋊D43C2311yescharacteristic
363C4×C22⋊D43C2311yescharacteristic
364(C22⋊D43)⋊C4—21no—
365(C22⋊D43)⋊C4—21no—
366#13063283C2311yescharacteristic
367#13063282—21no—
368#13063282—21no—
369#13063282—21no—
370#13063282C2311yescharacteristic
371#13063282C2311yescharacteristic
372#13063281—21no—
373C2×C4⋊Dic43C2311yescharacteristic
374C4⋊C4×D43—21no—
375C4⋊C4×D43—21no—
376C4⋊C4×D43—21no—
377C4⋊C4×D43—21no—
378C4⋊C4×D43C2311yescharacteristic
379C4⋊C4×D43C2311yescharacteristic
380C4⋊C4×D43C2311yescharacteristic
381C2×(C2×D43)⋊C4—21no—
382C2×(C2×D43)⋊C4—21no—
383C22⋊C4×D43—21no—
384C22⋊C4×D43—21no—
385C22⋊C4×D43—21no—
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063257C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
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
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430#13063236C2311yescharacteristic
431#13063236C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434C4×C43⋊C8C2311yescharacteristic
435C4×C43⋊C8C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43C2311yescharacteristic
439C2×Q16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443#126×C43—21no—
444#125×C43C2311yescharacteristic
445#124×C43C2311yescharacteristic
446#123×C43—21no—
447C22⋊Q8×C43C2311yescharacteristic
448#121×C43C2311yescharacteristic
449C4×Q8×C43C2311yescharacteristic
450C4×Q8×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×D4×C43—21no—
453C4×D4×C43—21no—
454C4×D4×C43—21no—
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458#117×C43—21no—
459#117×C43—21no—
460#117×C43C2311yescharacteristic
461C2×C42×C43—21no—
462C2×C42×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468C4⋊C8×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
477C22⋊C8×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479#97×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483#41×C43—22no—
484#41×C43—41no—
485C2×Q8×C43C2411yescharacteristic
486C2×Q8×C43C2411yescharacteristic
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43C2411yescharacteristic
490C2×D4×C43C2411yescharacteristic
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C22×C4×C43C2×D411yescharacteristic
496C22×C4×C43C2×D411yescharacteristic
497C22×C4×C43C2411yescharacteristic
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⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43C2×D411yescharacteristic
511C2×C22⋊D43C2×D411yescharacteristic
512C22×Dic43—21no—
513C22×Dic43—21no—
514#10621902—22no—
515#10621902—22no—
516#10621902—22no—
517#10621902—41no—
518#10621902—41no—
519#10621902—41no—
520#10621900—82no—
521D4×D43—22no—
522D4×D43—41no—
523D4×D43—82no—
524#10621898—82no—
525#10621898—82no—
526#10621898—82no—
527C2×D172—21no—
528C2×D172—21no—
529C2×D172—21no—
530C2×D172—21no—
531C2×D172—21no—
532C2×D172—21no—
533C2×D172—21no—
534C2×D172—21no—
535C2×D172—21no—
536C2×D172—21no—
537C2×D172—22no—
538C2×D172—41no—
539C2×D172C2×D411yescharacteristic
540C2×D172C2411yescharacteristic
541C2×D172C2411yescharacteristic
542C2×D172C2411yescharacteristic
543C2×D172C2411yescharacteristic
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—21no—
555C2×C4×D43—21no—
556C2×C4×D43—21no—
557C2×C4×D43—21no—
558C2×C4×D43—21no—
559C2×C4×D43—21no—
560C2×C4×D43—82no—
561C2×C4×D43C2411yescharacteristic
562C2×C4×D43C2411yescharacteristic
563C2×Dic86—21no—
564C2×Dic86—21no—
565C2×Dic86C2×D411yescharacteristic
566Q16×C43—22no—
567SD16×C43—22no—
568SD16×C43—41no—
569D8×C43—41no—
570C2×C8×C43C2411yescharacteristic
571C2×C8×C43C2411yescharacteristic
572C2×C8×C43C2411yescharacteristic
573C2×C8×C43C2411yescharacteristic
574C4⋊C4×C43—21no—
575C4⋊C4×C43—21no—
576C4⋊C4×C43—21no—
577C4⋊C4×C43—21no—
578C4⋊C4×C43—21no—
579C4⋊C4×C43—21no—
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—
592C42×C43—21no—
593C42×C43—21no—
594C42×C43—21no—
595C42×C43—21no—
596C42×C43C2×D411yescharacteristic
597C42×C43C2×D411yescharacteristic
598C42×C43C2411yescharacteristic
599C42×C43C2411yescharacteristic
600C22⋊Dic43—21no—
601C22⋊Dic43—21no—
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43C2×D411yescharacteristic
605C22⋊Dic43C2×D411yescharacteristic
606#10621884—22no—
607#10621884—22no—
608#10621884—41no—
609#10621884#4114yescomplemented
610#10621882—22no—
611#10621882—22no—
612#10621882—22no—
613#10621882—41no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
635(C2×D43)⋊C4C2×D411yescharacteristic
636(C2×D43)⋊C4C2×D411yescharacteristic
637(C2×D43)⋊C4C2×D411yescharacteristic
638(C2×D43)⋊C4C2×D411yescharacteristic
639(C2×D43)⋊C4C2×D411yescharacteristic
640(C2×D43)⋊C4C2×D411yescharacteristic
641(C2×D43)⋊C4C2×D411yescharacteristic
642C4⋊Dic43—21no—
643C4⋊Dic43—21no—
644C4⋊Dic43—21no—
645C4⋊Dic43—21no—
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
670Dic43⋊C4C2×D411yescharacteristic
671Dic43⋊C4C2×D411yescharacteristic
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43—21no—
676C4×Dic43C2411yescharacteristic
677C4×Dic43C2411yescharacteristic
678#10621877—22no—
679#10621877—41no—
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684D344—22no—
685D344—22no—
686D344—41no—
687D344—41no—
688#10621872—22no—
689#10621872—41no—
690C8×D43—22no—
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—81no—
703C22×D43—81no—
704C22×D43—81no—
705C22×D43C22×D411yescharacteristic
706C22×D43C22×D411yescharacteristic
707Q8×C43—21no—
708Q8×C43—21no—
709Q8×C43—21no—
710Q8×C43C2×#4112yes—
711D4×C43—21no—
712D4×C43—21no—
713D4×C43—21no—
714D4×C43—21no—
715D4×C43—42no—
716D4×C43—42no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—41no—
726C2×C4×C43—41no—
727C2×C4×C43—42no—
728C2×C4×C43—42no—
729C2×C4×C43—81no—
730C2×C4×C43—81no—
731C2×C4×C43C22×D411yescharacteristic
732C2×C4×C43C22×D411yescharacteristic
733C2×C4×C43C22×D411yescharacteristic
734C2×C4×C43C22×D411yescharacteristic
735C2×C4×C43C22×D411yescharacteristic
736C2×C4×C43C2511yescharacteristic
737C22⋊D43—41no—
738C22⋊D43—41no—
739C22⋊D43—42no—
740C22⋊D43—81no—
741C22⋊D43—81no—
742C22⋊D43—81no—
743C22⋊D43—81no—
744C22⋊D43—81no—
745C22⋊D43—81no—
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—42no—
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—21no—
770D172—41no—
771D172—42no—
772D172—42no—
773D172—42no—
774D172—42no—
775D172—42no—
776D172—81no—
777D172—81no—
778D172—81no—
779D172—81no—
780D172—81no—
781D172C2×#4112yes—
782C4×D43—21no—
783C4×D43—21no—
784C4×D43—21no—
785C4×D43—21no—
786C4×D43—42no—
787C4×D43—42no—
788C4×D43—42no—
789C4×D43—81no—
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×C43—21no—
809C43⋊C8—21no—
810C43⋊C8—21no—
811C43⋊C8—21no—
812C43⋊C8C2×#4112yes—
813#61507—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—21no—
830C2×D43—21no—
831C2×D43—41no—
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—
844C4×C43—21no—
845C4×C43—21no—
846C4×C43—21no—
847C4×C43—21no—
848C4×C43—22no—
849C4×C43—21no—
850C4×C43—41no—
851C4×C43—41no—
852C4×C43—41no—
853C4×C43—41no—
854C4×C43—41no—
855C4×C43C22×#4111yescharacteristic
856C4×C43#58511yescharacteristic
857Dic43—21no—
858Dic43—21no—
859Dic43—21no—
860Dic43—21no—
861Dic43—21no—
862Dic43—21no—
863Dic43—41no—
864Dic43—41no—
865Dic43—41no—
866Dic43—41no—
867#3517—431no—
868#3513—431no—
869#3399—431no—
870#3388—431no—
871#3371—431no—
872#3366—431no—
873#3351—431no—
874#3345—431no—
875#3345—431no—
876#3332—431no—
877#3322—431no—
878#3318—431no—
879#3317—431no—
880#3309—431no—
881#3306—431no—
882#3274—431no—
883#3268—431no—
884#3268—431no—
885#3179—431no—
886#3176—431no—
887#3171—431no—
888#3125—431no—
889#3122—431no—
890#3119—431no—
891#3119—431no—
892#3111D4311yescharacteristic, complemented
893#3109—431no—
894#2967—431no—
895#2952—431no—
896#2946—431no—
897C4×AGL(1,ℤ/8)—431no—
898C2×C43—41no—
899C2×C43—81no—
900C2×C43—81no—
901C2×C43D4×#4111yescharacteristic
902C2×C43#358511yescharacteristic
903C2×C43#358511yescharacteristic
904D43—41no—
905D43—41no—
906D43—42no—
907D43—81no—
908D43—81no—
909D43—81no—
910C2×AGL(1,ℤ/8)—431no—
911C2×AGL(1,ℤ/8)—431no—
912C2×#135—431no—
913#559—431no—
914#557—431no—
915#554—431no—
916#553—431no—
917#553—431no—
918#553—431no—
919#553—861no—
920#553—861no—
921#553—861no—
922#552—431no—
923#551—861no—
924#551—861no—
925#550—431no—
926#550—431no—
927#550—431no—
928#550—431no—
929#550—861no—
930#547—431no—
931#547—431no—
932#547—861no—
933#546—431no—
934#546—431no—
935#546—861no—
936D42—431no—
937#542—431no—
938#540—431no—
939#540—431no—
940#540—431no—
941#540—861no—
942#540—861no—
943#539—861no—
944#538—861no—
945#532—431no—
946#532—861no—
947#529—431no—
948#529—861no—
949#529C2×D4311yescharacteristic
950#525—861no—
951C2×#123—861no—
952#520—431no—
953#520—431no—
954#520—431no—
955#518—431no—
956C4×#41C2×D4311yescharacteristic, complemented
957C2×C4×D4—431no—
958#501—431no—
959#501—431no—
960#499—431no—
961#496—431no—
962#496—431no—
963#493—431no—
964#490—431no—
965#490—431no—
966#490—431no—
967#489—431no—
968#488—431no—
969#486—431no—
970#485C2×D4311yescharacteristic, complemented
971#483—431no—
972#482—431no—
973#482—431no—
974#482C2×D4311yescharacteristic
975#481—431no—
976#481—431no—
977#481—431no—
978#481—431no—
979#481—431no—
980#480—431no—
981#480—431no—
982#479—431no—
983#479—431no—
984#479C2×D4311yescharacteristic, complemented
985#478—431no—
986#478—431no—
987#478—431no—
988#478—431no—
989#478C2×D4311yescharacteristic, complemented
990#476—431no—
991#476—431no—
992#476—431no—
993#475—431no—
994#469—431no—
995#469—431no—
996#469—431no—
997#469—431no—
998#469—431no—
999#468—431no—
1000#468—431no—
1001#468—431no—
1002#466—431no—
1003#466—431no—
1004#466—431no—
1005#465—431no—
1006#464—431no—
1007#464C2×D4311yescharacteristic, complemented
1008#463—431no—
1009#463C2×D4311yescharacteristic, complemented
1010#460—431no—
1011#460—431no—
1012#459—431no—
1013#459—431no—
1014#459—431no—
1015#459—431no—
1016#459—431no—
1017#459—431no—
1018#452—431no—
1019#452C2×D4311yescharacteristic, complemented
1020#449—431no—
1021#449—431no—
1022#449—431no—
1023#449—431no—
1024#449—431no—
1025#449C2×D4311yescharacteristic
1026#447—431no—
1027#447—431no—
1028#447—431no—
1029#447—431no—
1030#446—431no—
1031#446—431no—
1032#442—431no—
1033#442—431no—
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442—431no—
1040#442C2×D4311yescharacteristic, complemented
1041#441—431no—
1042#441C2×D4311yescharacteristic, complemented
1043#440—431no—
1044#440—431no—
1045#440—431no—
1046#440C2×D4311yescharacteristic, complemented
1047#440C2×D4311yescharacteristic, complemented
1048C4×SD16—431no—
1049C4×SD16—431no—
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8—431no—
1060#436—431no—
1061#436—431no—
1062#435—431no—
1063#435—431no—
1064#435—431no—
1065#435—431no—
1066#433—431no—
1067#433—431no—
1068#432C2×D4311yescharacteristic, complemented
1069#428—431no—
1070#428—431no—
1071C2×#106—431no—
1072#418—431no—
1073#417—431no—
1074#417—431no—
1075#417—431no—
1076#416—431no—
1077C2×#102—431no—
1078#405—431no—
1079#405—431no—
1080C4×M16—431no—
1081C43#6150711yescharacteristic, complemented, Sylow
1082C2×#41—431no—
1083C2×#41—431no—
1084C2×#41—431no—
1085C2×#41—861no—
1086C2×#41—861no—
1087C2×#41—861no—
1088C2×#41—861no—
1089C2×#41C22×D4311yescharacteristic
1090C22×D4—431no—
1091C22×D4—431no—
1092C22×D4—861no—
1093C23×C4—861no—
1094AGL(1,ℤ/8)—864no—
1095AGL(1,ℤ/8)—864no—
1096#135—864no—
1097C2×Q16C22×D4311yescharacteristic
1098C2×SD16—431no—
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16C22×D4311yescharacteristic
1103C2×SD16C22×D4311yescharacteristic
1104C2×D8—431no—
1105C2×D8—431no—
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8—431no—
1109C2×D8—431no—
1110C2×D8—431no—
1111C2×D8—431no—
1112C2×D8C22×D4311yescharacteristic
1113C2×M16—431no—
1114C2×M16—431no—
1115C2×M16—431no—
1116C2×M16—431no—
1117C22×C8—431no—
1118C22×C8—431no—
1119C4⋊Q8—431no—
1120C4⋊Q8—431no—
1121C4⋊Q8—861no—
1122#127—431no—
1123#127—431no—
1124#127—431no—
1125#127—431no—
1126#127—861no—
1127#127—861no—
1128#127—861no—
1129#126—21no—
1130#126—431no—
1131#126—431no—
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—431no—
1141#125—861no—
1142#125—861no—
1143#125—861no—
1144#125C22×D4311yescharacteristic
1145#124—431no—
1146#124—431no—
1147#124—861no—
1148#124—861no—
1149#124—861no—
1150#124C22×D4311yescharacteristic
1151#123—21no—
1152#123—431no—
1153#123—431no—
1154#123—861no—
1155#123—861no—
1156#123—861no—
1157#123—861no—
1158#123—861no—
1159#123—861no—
1160#123—861no—
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—
1173C22⋊Q8—431no—
1174C22⋊Q8—431no—
1175C22⋊Q8—861no—
1176C22⋊Q8—861no—
1177C22⋊Q8—861no—
1178C22⋊Q8—861no—
1179C22⋊Q8—861no—
1180C22⋊Q8—861no—
1181C22⋊Q8C22×D4311yescharacteristic
1182#121—431no—
1183#121—431no—
1184#121—431no—
1185#121—431no—
1186#121—431no—
1187#121—431no—
1188#121—431no—
1189#121—431no—
1190#121—431no—
1191#121—431no—
1192#121—861no—
1193#121—861no—
1194#121—861no—
1195#121—861no—
1196#121—861no—
1197#121—861no—
1198#121—861no—
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#121—861no—
1212#121—861no—
1213#121—861no—
1214#121C22×D4311yescharacteristic
1215#120—861no—
1216#120—861no—
1217#120—861no—
1218#120—861no—
1219C4×Q8—431no—
1220C4×Q8—431no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—861no—
1224C4×Q8C22×D4311yescharacteristic
1225C4×Q8C22×D4311yescharacteristic
1226C4×Q8C22×D4311yescharacteristic
1227C4×D4—21no—
1228C4×D4—21no—
1229C4×D4—21no—
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×D4—861no—
1262C4×D4C22×D4311yescharacteristic
1263C4×D4C22×D4311yescharacteristic
1264C4×D4C22×D4311yescharacteristic
1265#117—21no—
1266#117—21no—
1267#117—431no—
1268#117—431no—
1269#117—431no—
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—431no—
1278C2×C4⋊C4—431no—
1279C2×C4⋊C4—861no—
1280C2×C4⋊C4—861no—
1281C2×C4⋊C4—861no—
1282C2×C4⋊C4—861no—
1283C2×C22⋊C4—861no—
1284C2×C22⋊C4—861no—
1285C2×C22⋊C4—861no—
1286C2×C22⋊C4—861no—
1287C2×C22⋊C4—861no—
1288C2×C42—21no—
1289C2×C42C22×D4311yescharacteristic
1290#107—431no—
1291#107—431no—
1292#107—431no—
1293#107—431no—
1294#107C22×D4311yescharacteristic
1295#107C22×D4311yescharacteristic
1296#106—431no—
1297#106—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
1306C4⋊C8—431no—
1307C4⋊C8—431no—
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8C22×D4311yescharacteristic
1311C4⋊C8C22×D4311yescharacteristic
1312#103—431no—
1313#103—431no—
1314#103—431no—
1315#103—431no—
1316#103C22×D4311yescharacteristic
1317#103C22×D4311yescharacteristic
1318#103C22×D4311yescharacteristic
1319#103C22×D4311yescharacteristic
1320#102—431no—
1321#102—431no—
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#102C22×D4311yescharacteristic
1341#102C22×D4311yescharacteristic
1342#102C22×D4311yescharacteristic
1343#102C22×D4311yescharacteristic
1344C22⋊C8—431no—
1345C22⋊C8—431no—
1346C22⋊C8—431no—
1347C22⋊C8—431no—
1348C22⋊C8C22×D4311yescharacteristic
1349C22⋊C8C22×D4311yescharacteristic
1350#97—431no—
1351#97—431no—
1352#97—431no—
1353#97—431no—
1354#97C22×D4311yescharacteristic
1355#97C22×D4311yescharacteristic
1356C4×C8—431no—
1357C4×C8—431no—
1358C4×C8—431no—
1359C4×C8—431no—
1360C24—861no—
1361C24—861no—
1362#41—22no—
1363#41—41no—
1364#41—862no—
1365#41—862no—
1366#41—862no—
1367#41—3442no—
1368#41—3442no—
1369#41—3442no—
1370#41—3442no—
1371#41—1721no—
1372#41—1721no—
1373#41—1721no—
1374C2×Q8—431no—
1375C2×Q8—861no—
1376C2×Q8—861no—
1377C2×Q8C23×D4311yescharacteristic
1378C2×Q8C23×D4311yescharacteristic
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—431no—
1382C2×D4—431no—
1383C2×D4—431no—
1384C2×D4—431no—
1385C2×D4—431no—
1386C2×D4—431no—
1387C2×D4—431no—
1388C2×D4—862no—
1389C2×D4—861no—
1390C2×D4—861no—
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—861no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—861no—
1409C2×D4—861no—
1410C2×D4—861no—
1411C2×D4—861no—
1412C2×D4—3442no—
1413C2×D4—1721no—
1414C2×D4—1721no—
1415C2×D4C23×D4311yescharacteristic
1416C2×D4C23×D4311yescharacteristic
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—431no—
1422C22×C4—431no—
1423C22×C4—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×C4D4×D4311yescharacteristic
1443C22×C4D4×D4311yescharacteristic
1444C22×C4C23×D4311yescharacteristic
1445Q16—22no—
1446SD16—22no—
1447SD16—41no—
1448SD16—434no—
1449SD16—862no—
1450SD16—862no—
1451SD16—1721no—
1452D8—41no—
1453D8—862no—
1454D8—862no—
1455D8—862no—
1456D8—862no—
1457D8—862no—
1458D8—1721no—
1459D8—1721no—
1460D8—1721no—
1461M16—862no—
1462M16—862no—
1463M16—1721no—
1464M16—1721no—
1465C2×C8—431no—
1466C2×C8—431no—
1467C2×C8—431no—
1468C2×C8—431no—
1469C2×C8—862no—
1470C2×C8—1721no—
1471C2×C8C23×D4311yescharacteristic
1472C2×C8C23×D4311yescharacteristic
1473C2×C8C23×D4311yescharacteristic
1474C2×C8C23×D4311yescharacteristic
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
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—431no—
1492C4⋊C4—431no—
1493C4⋊C4—431no—
1494C4⋊C4—431no—
1495C4⋊C4—861no—
1496C4⋊C4—861no—
1497C4⋊C4—861no—
1498C4⋊C4—861no—
1499C4⋊C4—861no—
1500C4⋊C4—861no—
1501C4⋊C4—861no—
1502C4⋊C4—861no—
1503C4⋊C4—861no—
1504C4⋊C4—861no—
1505C4⋊C4—861no—
1506C4⋊C4—861no—
1507C4⋊C4—861no—
1508C4⋊C4—861no—
1509C4⋊C4—861no—
1510C4⋊C4—861no—
1511C4⋊C4C23×D4311yescharacteristic
1512C4⋊C4C23×D4311yescharacteristic
1513C4⋊C4C23×D4311yescharacteristic
1514C4⋊C4C23×D4311yescharacteristic
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—431no—
1524C22⋊C4—431no—
1525C22⋊C4—431no—
1526C22⋊C4—431no—
1527C22⋊C4—431no—
1528C22⋊C4—431no—
1529C22⋊C4—431no—
1530C22⋊C4—431no—
1531C22⋊C4—431no—
1532C22⋊C4—431no—
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—
1557C42—21no—
1558C42—21no—
1559C42—21no—
1560C42—21no—
1561C42—431no—
1562C42—431no—
1563C42—861no—
1564C42—861no—
1565C42—861no—
1566C42—861no—
1567C42D4×D4311yescharacteristic
1568C42D4×D4311yescharacteristic
1569C42C23×D4311yescharacteristic
1570C42C23×D4311yescharacteristic
1571C23—21no—
1572C23—21no—
1573C23—431no—
1574C23—431no—
1575C23—861no—
1576C23—861no—
1577C23—861no—
1578C23—861no—
1579C23—3441no—
1580C23—3441no—
1581C23—3441no—
1582C23—1722no—
1583C23—1722no—
1584C23—1722no—
1585C23C2×D4×D4311yescharacteristic
1586Q8—21no—
1587Q8—21no—
1588Q8—21no—
1589Q8—3441no—
1590Q8—1721no—
1591Q8—1722no—
1592Q8#41×D4312yes—
1593D4—21no—
1594D4—21no—
1595D4—21no—
1596D4—21no—
1597D4—42no—
1598D4—42no—
1599D4—432no—
1600D4—861no—
1601D4—861no—
1602D4—861no—
1603D4—861no—
1604D4—861no—
1605D4—861no—
1606D4—861no—
1607D4—3441no—
1608D4—3441no—
1609D4—3441no—
1610D4—3441no—
1611D4—3441no—
1612D4—3441no—
1613D4—3441no—
1614D4—3441no—
1615D4—3441no—
1616D4—3441no—
1617D4—3441no—
1618D4—3441no—
1619D4—3441no—
1620D4—3441no—
1621D4—3441no—
1622D4—3441no—
1623D4—1721no—
1624D4—1722no—
1625D4—1722no—
1626D4—1722no—
1627D4—1722no—
1628D4—1722no—
1629D4—1721no—
1630D4—1721no—
1631D4—1722no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—41no—
1641C2×C4—41no—
1642C2×C4—42no—
1643C2×C4—42no—
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—1722no—
1675C2×C4—1722no—
1676C2×C4—1722no—
1677C2×C4—1722no—
1678C2×C4C2×D4×D4311yescharacteristic
1679C2×C4C2×D4×D4311yescharacteristic
1680C2×C4C2×D4×D4311yescharacteristic
1681C2×C4C2×D4×D4311yescharacteristic
1682C2×C4C2×D4×D4311yescharacteristic
1683C2×C4C24×D4311yescharacteristic
1684C8—21no—
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—432no—
1689C8—861no—
1690C8—861no—
1691C8—861no—
1692C22—21no—
1693C22—21no—
1694C22—21no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—861no—
1702C22—861no—
1703C22—862no—
1704C22—861no—
1705C22—861no—
1706C22—861no—
1707C22—861no—
1708C22—3444no—
1709C22—1721no—
1710C22—1721no—
1711C22—1721no—
1712C22—1721no—
1713C22—1721no—
1714C22—1721no—
1715C22—1721no—
1716C22—1721no—
1717C22—1721no—
1718C22—1721no—
1719C22—1721no—
1720C22—6882no—
1721C22C22×D4×D4311yescharacteristic
1722C4—21no—
1723C4—22no—
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—861no—
1734C4—861no—
1735C4—861no—
1736C4—861no—
1737C4—861no—
1738C4—861no—
1739C4—1721no—
1740C4—1721no—
1741C4—1721no—
1742C4—1721no—
1743C4C2×#41×D4311yescharacteristic
1744C4#1458373511yescharacteristic
1745C2—41no—
1746C2—81no—
1747C2—81no—
1748C2—3441no—
1749C2—3441no—
1750C2—3441no—
1751C2—1721no—
1752C2—1721no—
1753C2—1722no—
1754C2#1914807811yescharacteristic
1755C2#1914937211yescharacteristic
1756C2#1914937211yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3111C2
socleC22×C43C23×D4
hypercenter#3111D43
hypocenterC43#61507
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3111

Complements

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

NH ≅ G/Ntype
1. #19148601C2semidirect
2. #19148529C2semidirect
3. #19147632C2semidirect
4. #19147543C2semidirect
5. #19147360C2semidirect
6. #19147305C2semidirect
7. #19147153C2semidirect
8. #19147068C2semidirect
9. #19147062C2semidirect
10. #19146915C2semidirect
11. #19146794C2semidirect
12. #19146739C2semidirect
13. #19146714C2semidirect
14. #19146598C2semidirect
15. #19146563C2semidirect
16. #19146208C2semidirect
17. #19146138C2semidirect
18. #19146130C2semidirect
19. #19145276C2semidirect
20. #19145243C2semidirect
21. #19145191C2semidirect
22. #19144870C2semidirect
23. #19144837C2semidirect
24. #19144792C2semidirect
25. #19144792C2semidirect
26. #19144687C2semidirect
27. #19143575C2semidirect
28. #19143475C2semidirect
29. #19143426C2semidirect
30. C4×#13063350C2semidirect
31. C43×#3111C2semidirect
36. #14583628C22semidirect
43. #14583593C22semidirect
47. #14583571C22semidirect
49. #14583570C22semidirect
51. #14583568C22semidirect
53. #14583554C22semidirect
63. #14583500C22semidirect
64. #14583500C22semidirect
68. #14583449C22semidirect
74. #14583381C22semidirect
75. #14583381C22semidirect
78. #14583309C22semidirect
79. #14583307C22semidirect
80. #14583299C22semidirect
81. #14583289C22semidirect
82. #14583285C22semidirect
84. #14583265C22semidirect
86. #14583262C22semidirect
87. #14583258C22semidirect
88. #14583255C22semidirect
89. #14583244C22semidirect
90. #14583228C22semidirect
91. #14583225C22semidirect
92. #14583222C22semidirect
94. #14583218C22semidirect
95. #14583218C22semidirect
96. #14583216C22semidirect
97. #14583216C22semidirect
98. #14583214C22semidirect
99. #14583214C22semidirect
100. #14583204C22semidirect
101. #14583204C22semidirect
103. #14583202C22semidirect
104. #14583201C22semidirect
107. #14583190C22semidirect
108. #14583188C22semidirect
109. #14583182C22semidirect
110. #14583153C22semidirect
114. #14583149C22semidirect
115. #14583148C22semidirect
116. #14583147C22semidirect
117. #14583147C22semidirect
119. #14583134C22semidirect
120. #14583134C22semidirect
121. #14583125C22semidirect
122. #14583123C22semidirect
123. #14583117C22semidirect
125. #14583097C22semidirect
127. #14583095C22semidirect
131. #14583092C22semidirect
132. #14583060C22semidirect
135. #14583047C22semidirect
137. #14583043C22semidirect
142. #14583028C22semidirect
143. #14583028C22semidirect
146. #14583012C22semidirect
147. #14583012C22semidirect
150. #14583009C22semidirect
151. #14583008C22semidirect
152. #14583006C22semidirect
155. #14582997C22semidirect
156. SD16×Dic43C22semidirect
158. C4×#10621884C22semidirect
159. C4×#10621884C22semidirect
160. C4×#10621884C22semidirect
162. #14582984C22semidirect
165. C4×#10621882C22semidirect
166. C4×#10621882C22semidirect
167. C4×#10621882C22semidirect
169. #14582974C22semidirect
171. #14582973C22semidirect
172. #14582969C22semidirect
173. #14582969C22semidirect
174. #14582961C22semidirect
175. #14582961C22semidirect
176. #14582942C22semidirect
177. #14582940C22semidirect
178. #106×D43C22semidirect
180. #14582900C22semidirect
182. #14582899C22semidirect
183. #14582894C22semidirect
185. #14582856C22semidirect
186. #14582856C22semidirect
187. C4×#10621877C22semidirect
189. C4×#41×C43C22semidirect
190. C43×#485C22semidirect
192. C43×#479C22semidirect
193. C43×#478C22semidirect
194. C43×#464C22semidirect
195. C43×#463C22semidirect
196. C43×#452C22semidirect
198. C43×#442C22semidirect
199. C43×#441C22semidirect
200. C43×#440C22semidirect
201. C43×#440C22semidirect
202. C43×#432C22semidirect
609. #10621884#41semidirect
892. #3111D43semidirect
956. C4×#41C2×D43semidirect
970. #485C2×D43semidirect
984. #479C2×D43semidirect
989. #478C2×D43semidirect
1007. #464C2×D43semidirect
1009. #463C2×D43semidirect
1019. #452C2×D43semidirect
1040. #442C2×D43semidirect
1042. #441C2×D43semidirect
1046. #440C2×D43semidirect
1047. #440C2×D43semidirect
1068. #432C2×D43semidirect
1081. C43#61507semidirect

Maximal subgroups

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

subgroupindex
#191486012
#191485292
#191476322
#191475432
#191473602
#191473052
#191471532
#191470682
#191470622
#191469152
#191467942
#191467392
#191467142
#191465982
#191465632
#191462082
#191461382
#191461302
#191452762
#191452432
#191451912
#191448702
#191448372
#191447922
#191446872
#191435752
#191434752
#191434262
C4×#130633502
C43×#31112
#6150743