Finite Group Databasebeta

← #25979882

Subgroups — #25979882

Order 11008.

1832 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148568C211yesmaximal, characteristic, complemented
2#19148529C211yesmaximal, characteristic, complemented
3#19147645C211yesmaximal, characteristic, complemented
4#19147550C211yesmaximal, characteristic, complemented
5#19147373C211yesmaximal, characteristic, complemented
6#19147347C211yesmaximal, characteristic, complemented
7#19147165C211yesmaximal, characteristic, complemented
8#19147079C211yesmaximal, characteristic, complemented
9#19147030C211yesmaximal, characteristic, complemented
10#19146895C211yesmaximal, characteristic, complemented
11#19146817C211yesmaximal, characteristic, complemented
12#19146686C211yesmaximal, characteristic, complemented
13#19146675C211yesmaximal, characteristic, complemented
14#19146611C211yesmaximal, characteristic, complemented
15#19146570C211yesmaximal, characteristic, complemented
16#19146192C211yesmaximal, characteristic, complemented
17#19146127C211yesmaximal, characteristic, complemented
18#19146119C211yesmaximal, characteristic, complemented
19#19145267C211yesmaximal, characteristic, complemented
20#19145219C211yesmaximal, characteristic, complemented
21#19144863C211yesmaximal, characteristic, complemented
22#19144844C211yesmaximal, characteristic, complemented
23#19144815C211yesmaximal, characteristic, complemented
24#19144800C211yesmaximal, characteristic, complemented
25#19144698C211yesmaximal, characteristic, complemented
26#19144690C211yesmaximal, characteristic, complemented
27#19143580C211yesmaximal, characteristic, complemented
28#19143470C211yesmaximal, characteristic, complemented
29#19143422C211yesmaximal, characteristic, complemented
30C4×#13063353C211yesmaximal, characteristic, complemented
31C43×#3172C211yesmaximal, characteristic, complemented
32C2×#13063353C2211yescharacteristic
33C2×#13063352C2211yescharacteristic
34C2×#13063348C2211yescharacteristic
35#14583631C2211yescharacteristic
36#14583624C2211yescharacteristic, complemented
37#14583610C2211yescharacteristic, complemented
38#14583610C2211yescharacteristic, complemented
39#14583605C2211yescharacteristic
40#14583602C2211yescharacteristic
41#14583593—21no—
42#14583593—21no—
43#14583591C2211yescharacteristic
44#14583590—21no—
45#14583590—21no—
46#14583588—21no—
47#14583583C2211yescharacteristic
48#14583583C2211yescharacteristic, complemented
49#14583578—21no—
50#14583573—21no—
51#14583552C2211yescharacteristic, complemented
52#14583551C2211yescharacteristic
53#14583551C2211yescharacteristic, complemented
54#14583549C2211yescharacteristic
55#14583544—21no—
56#14583542C2211yescharacteristic
57#14583540C2211yescharacteristic
58#14583533C2211yescharacteristic
59#14583521C2211yescharacteristic
60#14583507C2211yescharacteristic, complemented
61#14583507C2211yescharacteristic, complemented
62#14583500C2211yescharacteristic
63#14583495—21no—
64#14583495—21no—
65#14583490—21no—
66#14583488—21no—
67#14583434—21no—
68#14583433C2211yescharacteristic
69#125×D43—21no—
70#14583407—21no—
71#123×D43—21no—
72#14583381C2211yescharacteristic
73#14583381C2211yescharacteristic, complemented
74#14583381C2211yescharacteristic, complemented
75#14583371C2211yescharacteristic
76C4×#10621898C2211yescharacteristic, complemented
77C2×C4×D172C2211yescharacteristic
78#14583307C2211yescharacteristic, complemented
79#14583299C2211yescharacteristic, complemented
80#14583292C2211yescharacteristic, complemented
81#14583270C2211yescharacteristic
82#14583266C2211yescharacteristic, complemented
83#14583262C2211yescharacteristic
84#14583255C2211yescharacteristic, complemented
85#14583248C2211yescharacteristic, complemented
86#14583243C2211yescharacteristic, complemented
87#14583238C2211yescharacteristic, complemented
88#14583237C2211yescharacteristic, complemented
89#14583236C2211yescharacteristic, complemented
90#14583233C2211yescharacteristic, complemented
91#14583232C2211yescharacteristic, complemented
92#14583232C2211yescharacteristic, complemented
93#14583228C2211yescharacteristic, complemented
94#14583220C2211yescharacteristic
95#14583219C2211yescharacteristic, complemented
96#14583214C2211yescharacteristic
97#14583211C2211yescharacteristic, complemented
98#14583208C2211yescharacteristic, complemented
99#14583204C2211yescharacteristic, complemented
100#14583203C2211yescharacteristic, complemented
101#14583202C2211yescharacteristic
102#14583201C2211yescharacteristic, complemented
103#14583198C2211yescharacteristic
104#14583198C2211yescharacteristic, complemented
105#14583196C2211yescharacteristic, complemented
106#14583192C2211yescharacteristic, complemented
107#14583178C2211yescharacteristic, complemented
108#14583176C2211yescharacteristic
109#14583176C2211yescharacteristic, complemented
110#14583154C2211yescharacteristic, complemented
111#14583148C2211yescharacteristic, complemented
112#14583146C2211yescharacteristic
113#14583144C2211yescharacteristic, complemented
114#14583139C2211yescharacteristic, complemented
115#14583131C2211yescharacteristic
116#14583129C2211yescharacteristic, complemented
117#14583125C2211yescharacteristic, complemented
118#14583123C2211yescharacteristic, complemented
119#14583118C2211yescharacteristic, complemented
120#14583117C2211yescharacteristic, complemented
121#14583111C2211yescharacteristic, complemented
122#14583107C2211yescharacteristic, complemented
123#14583103C2211yescharacteristic
124#14583103C2211yescharacteristic
125#14583102C2211yescharacteristic, complemented
126#14583101C2211yescharacteristic
127#14583101C2211yescharacteristic, complemented
128#14583097C2211yescharacteristic
129#14583093C2211yescharacteristic
130#14583064C2211yescharacteristic
131#14583060C2211yescharacteristic
132#14583060C2211yescharacteristic, complemented
133#14583059C2211yescharacteristic, complemented
134#14583051C2211yescharacteristic
135#14583049C2211yescharacteristic
136#14583049C2211yescharacteristic
137#14583048C2211yescharacteristic
138#14583047C2211yescharacteristic
139#14583047C2211yescharacteristic, complemented
140#14583043C2211yescharacteristic, complemented
141#14583042C2211yescharacteristic
142#14583027C2211yescharacteristic, complemented
143#14583027C2211yescharacteristic, complemented
144#14583012C2211yescharacteristic
145#14583012C2211yescharacteristic, complemented
146#14583010C2211yescharacteristic
147#14583009C2211yescharacteristic, complemented
148#14583004C2211yescharacteristic, complemented
149#14583002C2211yescharacteristic
150#14583002C2211yescharacteristic, complemented
151#14583001C2211yescharacteristic
152#14583001C2211yescharacteristic, complemented
153#14583000C2211yescharacteristic, complemented
154#14582999C2211yescharacteristic, complemented
155#14582997C2211yescharacteristic
156#14582997C2211yescharacteristic
157#14582997C2211yescharacteristic, complemented
158#14582997C2211yescharacteristic, complemented
159#14582997C2211yescharacteristic, complemented
160Q16×Dic43C2211yescharacteristic, complemented
161C4×#10621873C2211yescharacteristic
162C4×#10621873C2211yescharacteristic, complemented
163#14582984C2211yescharacteristic
164C4×D344C2211yescharacteristic
165C4×D344C2211yescharacteristic, complemented
166#14582981C2211yescharacteristic
167#14582979C2211yescharacteristic, complemented
168#14582975C2211yescharacteristic
169#14582975C2211yescharacteristic, complemented
170#14582972C2211yescharacteristic, complemented
171#14582972C2211yescharacteristic, complemented
172#14582968C2211yescharacteristic
173#14582968C2211yescharacteristic, complemented
174#14582958C2211yescharacteristic, complemented
175#14582958C2211yescharacteristic, complemented
176#14582956C2211yescharacteristic, complemented
177#14582941C2211yescharacteristic, complemented
178#14582938C2211yescharacteristic, complemented
179#107×D43C2211yescharacteristic, complemented
180#14582905C2211yescharacteristic
181#14582901C2211yescharacteristic, complemented
182#14582899C2211yescharacteristic
183#14582899C2211yescharacteristic, complemented
184#14582894C2211yescharacteristic, complemented
185#102×D43C2211yescharacteristic
186#14582853C2211yescharacteristic, complemented
187#14582853C2211yescharacteristic, complemented
188C43×#533C2211yescharacteristic, complemented
189C43×#529C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#497C2211yescharacteristic, complemented
192C43×#491C2211yescharacteristic, complemented
193C43×#489C2211yescharacteristic, complemented
194C43×#470C2211yescharacteristic, complemented
195C43×#470C2211yescharacteristic, complemented
196C43×#468C2211yescharacteristic
197C43×#468C2211yescharacteristic
198C4×Q16×C43C2211yescharacteristic, complemented
199C4×Q16×C43C2211yescharacteristic, complemented
200C4×SD16×C43C2211yescharacteristic, complemented
201C4×SD16×C43C2211yescharacteristic, complemented
202C4×M16×C43C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×#10621902C2311yescharacteristic
206C2×#10621898C2311yescharacteristic
207C2×#10621900—21no—
208C22×D172C2311yescharacteristic
209C2×D4×D43—21no—
210C2×D4×D43C2311yescharacteristic
211C22×C4×D43—21no—
212#13063353—24no—
213#13063352—24no—
214#13063348—24no—
215C2×#10621885C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224C2×D344C2311yescharacteristic
225C2×D344C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621872C2311yescharacteristic
228C2×#10621872C2311yescharacteristic
229C2×C8×D43C2311yescharacteristic
230C2×C8×D43C2311yescharacteristic
231#13063324C2311yescharacteristic
232#13063323C2311yescharacteristic
233#13063323C2311yescharacteristic
234#13063321C2311yescharacteristic
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063319—21no—
240#13063319—21no—
241#13063319—21no—
242#13063319D411yescharacteristic
243#13063319D411yescharacteristic
244#13063318—21no—
245#13063318—21no—
246#13063317—21no—
247#13063317—21no—
248#13063317D411yescharacteristic
249#13063316—21no—
250#13063316—21no—
251#13063316—21no—
252#13063316C2311yescharacteristic
253#13063316C2311yescharacteristic
254#13063316C2311yescharacteristic
255#13063315—21no—
256#13063315—21no—
257#13063315—21no—
258#13063315—21no—
259#13063315—21no—
260#13063315—21no—
261#13063314C2311yescharacteristic
262#13063313—21no—
263#13063313D411yescharacteristic
264#13063311—21no—
265#13063310—21no—
266#13063310—21no—
267#13063310—21no—
268#13063310—21no—
269#13063310—21no—
270#13063310—21no—
271#13063310—21no—
272#13063309—21no—
273#13063309—21no—
274#13063308—21no—
275#13063308D411yescharacteristic
276#13063308D411yescharacteristic
277#13063307—21no—
278#13063307—21no—
279#13063307—21no—
280#13063307—21no—
281#13063307—21no—
282#13063307—21no—
283#13063307—21no—
284#13063307—21no—
285#13063306—21no—
286#13063305—21no—
287#13063305—21no—
288#13063305C2311yescharacteristic
289#13063305C2311yescharacteristic
290#13063304D411yescharacteristic
291#13063303—21no—
292#13063303—21no—
293#13063303—21no—
294#13063302—21no—
295#13063301—21no—
296#13063301—21no—
297#13063301—21no—
298#13063301—21no—
299#13063301C2311yescharacteristic
300#13063301C2311yescharacteristic
301#13063301C2311yescharacteristic
302#13063300—21no—
303#13063300—21no—
304#13063300—21no—
305#13063300C2311yescharacteristic
306#13063300C2311yescharacteristic
307#13063299—21no—
308#13063299D411yescharacteristic
309#13063298—21no—
310#13063298—21no—
311#13063298—21no—
312#13063298—21no—
313#13063298—21no—
314#13063296C2311yescharacteristic
315#13063295—21no—
316#13063295—21no—
317#13063295—21no—
318#13063293—21no—
319Q8×Dic43C2311yescharacteristic
320Q8×Dic43C2311yescharacteristic
321Q8×Dic43C2311yescharacteristic
322C4×Dic86C2311yescharacteristic
323C4×Dic86C2311yescharacteristic
324C4×Dic86C2311yescharacteristic
325#13063290—21no—
326C4×D172—21no—
327C4×D172—21no—
328C4×D172—21no—
329C4×D172—21no—
330C4×D172—21no—
331C4×D172C2311yescharacteristic
332C4×D172C2311yescharacteristic
333C4×D172C2311yescharacteristic
334C4×D172C2311yescharacteristic
335C4×D172C2311yescharacteristic
336C4×D172C2311yescharacteristic
337C4×D172C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339#13063287—21no—
340#13063287—21no—
341#13063287—21no—
342#13063287—21no—
343#13063287—21no—
344#13063287C2311yescharacteristic
345#13063287C2311yescharacteristic
346#13063287C2311yescharacteristic
347#13063287C2311yescharacteristic
348C4×C22⋊D43—21no—
349C4×C22⋊D43—21no—
350C4×C22⋊D43—21no—
351C4×C22⋊D43C2311yescharacteristic
352C4×C22⋊D43C2311yescharacteristic
353(C22⋊D43)⋊C4—21no—
354(C22⋊D43)⋊C4—21no—
355#13063284C2311yescharacteristic
356#13063283—21no—
357#13063283—21no—
358#13063283C2311yescharacteristic
359#13063282—21no—
360#13063282—21no—
361#13063282—21no—
362#13063282—21no—
363#13063282C2311yescharacteristic
364#13063282C2311yescharacteristic
365#13063281—21no—
366C2×C4⋊Dic43C2311yescharacteristic
367C4⋊C4×D43—21no—
368C4⋊C4×D43—21no—
369C4⋊C4×D43—21no—
370C4⋊C4×D43—21no—
371C4⋊C4×D43—21no—
372C4⋊C4×D43—21no—
373C4⋊C4×D43—21no—
374C4⋊C4×D43—21no—
375C4⋊C4×D43C2311yescharacteristic
376C4⋊C4×D43C2311yescharacteristic
377C4⋊C4×D43C2311yescharacteristic
378C2×(C2×D43)⋊C4—21no—
379C2×(C2×D43)⋊C4—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C42×D43—21no—
384#13063259C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063257C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396C4⋊(C43⋊C8)C2311yescharacteristic
397C4⋊(C43⋊C8)C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
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#13063236C2311yescharacteristic
434#13063235C2311yescharacteristic
435#13063235C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×Q16×C43C2311yescharacteristic
439C2×Q16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×M16×C43C2311yescharacteristic
443C2×M16×C43C2311yescharacteristic
444C4⋊Q8×C43C2311yescharacteristic
445C4⋊Q8×C43C2311yescharacteristic
446#126×C43—21no—
447#125×C43—21no—
448#125×C43C2311yescharacteristic
449#124×C43C2311yescharacteristic
450#123×C43—21no—
451C22⋊Q8×C43—21no—
452C22⋊Q8×C43C2311yescharacteristic
453C22⋊Q8×C43C2311yescharacteristic
454C22⋊Q8×C43C2311yescharacteristic
455#121×C43C2311yescharacteristic
456C4×Q8×C43—21no—
457C4×Q8×C43C2311yescharacteristic
458C4×Q8×C43C2311yescharacteristic
459C4×Q8×C43C2311yescharacteristic
460C4×D4×C43—21no—
461C4×D4×C43C2311yescharacteristic
462#117×C43—21no—
463#117×C43—21no—
464C2×C42×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×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—
483C2×Q8×C43—21no—
484C2×Q8×C43C2411yescharacteristic
485C2×Q8×C43C2411yescharacteristic
486C2×Q8×C43C2411yescharacteristic
487C2×D4×C43—21no—
488C2×D4×C43C2411yescharacteristic
489C22×C4×C43—21no—
490C22×C4×C43C2×D411yescharacteristic
491C22×C4×C43C2×D411yescharacteristic
492C22×C4×C43C2411yescharacteristic
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43C2×D411yescharacteristic
499C2×C22⋊D43C2×D411yescharacteristic
500C22×Dic43—21no—
501C22×Dic43—21no—
502#10621902—22no—
503#10621902—22no—
504#10621902—22no—
505#10621902—41no—
506#10621902—41no—
507#10621902—41no—
508#10621900—82no—
509D4×D43—22no—
510D4×D43—41no—
511D4×D43—82no—
512#10621898—22no—
513#10621898—41no—
514C2×D172—21no—
515C2×D172—21no—
516C2×D172—21no—
517C2×D172—21no—
518C2×D172—21no—
519C2×D172—21no—
520C2×D172—22no—
521C2×D172—41no—
522C2×D172C2×D411yescharacteristic
523C2×D172C2411yescharacteristic
524C2×D172C2411yescharacteristic
525C2×D172C2411yescharacteristic
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43—21no—
539C2×C4×D43—21no—
540C2×C4×D43—21no—
541C2×C4×D43—21no—
542C2×C4×D43—21no—
543C2×C4×D43—82no—
544C2×C4×D43C2411yescharacteristic
545C2×C4×D43C2411yescharacteristic
546C2×Dic86—21no—
547C2×Dic86C2×D411yescharacteristic
548C2×Dic86C2411yescharacteristic
549Q16×C43—22no—
550Q16×C43—41no—
551SD16×C43—22no—
552SD16×C43—41no—
553M16×C43—22no—
554M16×C43—41no—
555C2×C8×C43C2411yescharacteristic
556C2×C8×C43C2411yescharacteristic
557C2×C8×C43C2411yescharacteristic
558C2×C8×C43C2411yescharacteristic
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43—21no—
565C4⋊C4×C43—21no—
566C4⋊C4×C43—21no—
567C4⋊C4×C43—21no—
568C4⋊C4×C43—21no—
569C4⋊C4×C43—21no—
570C4⋊C4×C43C2411yescharacteristic
571C4⋊C4×C43C2411yescharacteristic
572C4⋊C4×C43C2411yescharacteristic
573C4⋊C4×C43C2411yescharacteristic
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C22⋊C4×C43—21no—
580C22⋊C4×C43—21no—
581C42×C43—21no—
582C42×C43—21no—
583C42×C43—21no—
584C42×C43C2×D411yescharacteristic
585C42×C43C2×D411yescharacteristic
586C42×C43C2411yescharacteristic
587C42×C43C2411yescharacteristic
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43C2×D411yescharacteristic
592C22⋊Dic43C2×D411yescharacteristic
593#10621885—41no—
594#10621884—22no—
595#10621884—22no—
596#10621884—22no—
597#10621884—41no—
598#10621884—41no—
599#10621883—41no—
600#10621882—22no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
622(C2×D43)⋊C4C2×D411yescharacteristic
623(C2×D43)⋊C4C2×D411yescharacteristic
624(C2×D43)⋊C4C2×D411yescharacteristic
625(C2×D43)⋊C4C2×D411yescharacteristic
626(C2×D43)⋊C4C2×D411yescharacteristic
627(C2×D43)⋊C4C2×D411yescharacteristic
628(C2×D43)⋊C4C2×D411yescharacteristic
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43—21no—
633C4⋊Dic43—21no—
634C4⋊Dic43—21no—
635C4⋊Dic43—21no—
636C4⋊Dic43—21no—
637C4⋊Dic43—21no—
638C4⋊Dic43C2×D411yescharacteristic
639C4⋊Dic43C2×D411yescharacteristic
640C4⋊Dic43C2411yescharacteristic
641C4⋊Dic43C2411yescharacteristic
642C4⋊Dic43C2411yescharacteristic
643C4⋊Dic43C2411yescharacteristic
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663Dic43⋊C4C2×D411yescharacteristic
664Dic43⋊C4C2×D411yescharacteristic
665Dic43⋊C4C2×D411yescharacteristic
666Dic43⋊C4C2×D411yescharacteristic
667Dic43⋊C4C2×D411yescharacteristic
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43C2411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681D344—22no—
682D344#4114yescomplemented
683#10621873—22no—
684#10621873—22no—
685#10621872—22no—
686#10621872—41no—
687C8×D43—22no—
688C8×D43—41no—
689C23×C43—21no—
690C23×C43C22×D411yescharacteristic
691C22×D43—21no—
692C22×D43—21no—
693C22×D43—21no—
694C22×D43—42no—
695C22×D43—42no—
696C22×D43—42no—
697C22×D43—81no—
698C22×D43—81no—
699C22×D43—81no—
700C22×D43C22×D411yescharacteristic
701C22×D43C22×D411yescharacteristic
702Q8×C43—21no—
703Q8×C43—21no—
704Q8×C43—21no—
705Q8×C43—21no—
706Q8×C43—21no—
707Q8×C43—21no—
708Q8×C43—81no—
709D4×C43—21no—
710D4×C43—21no—
711D4×C43—42no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—41no—
722C2×C4×C43—41no—
723C2×C4×C43—81no—
724C2×C4×C43C22×D411yescharacteristic
725C2×C4×C43C22×D411yescharacteristic
726C2×C4×C43C22×D411yescharacteristic
727C2×C4×C43C22×D411yescharacteristic
728C2×C4×C43C22×D411yescharacteristic
729C2×C4×C43C2511yescharacteristic
730C22⋊D43—41no—
731C22⋊D43—41no—
732C22⋊D43—42no—
733C22⋊D43—42no—
734C22⋊D43—81no—
735C22⋊D43—81no—
736C22⋊D43—81no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—42no—
743C2×Dic43—81no—
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747C2×Dic43C22×D411yescharacteristic
748C2×Dic43C22×D411yescharacteristic
749C2×Dic43C22×D411yescharacteristic
750D172—21no—
751D172—21no—
752D172—21no—
753D172—21no—
754D172—41no—
755D172—42no—
756D172—42no—
757D172—42no—
758D172—42no—
759D172—81no—
760D172—81no—
761D172C2×#4112yes—
762D172C2×#4112yes—
763C4×D43—21no—
764C4×D43—21no—
765C4×D43—21no—
766C4×D43—21no—
767C4×D43—42no—
768C4×D43—42no—
769C4×D43—42no—
770C4×D43—42no—
771C4×D43—42no—
772C4×D43—81no—
773C4×D43—81no—
774C4×D43—81no—
775C4×D43—81no—
776C4×D43—81no—
777C4×D43—81no—
778C4×D43—81no—
779C4×D43—81no—
780C4×D43—81no—
781C4×D43—81no—
782C4×D43—81no—
783C4×D43—81no—
784Dic86—21no—
785Dic86—21no—
786Dic86—41no—
787Dic86—81no—
788C8×C43—21no—
789C8×C43—21no—
790C8×C43—21no—
791C8×C43C2×#4112yes—
792C43⋊C8—21no—
793C43⋊C8—21no—
794C43⋊C8—21no—
795C43⋊C8—21no—
796#61509—431nomaximal, Sylow
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—21no—
800C22×C43—41no—
801C22×C43—41no—
802C22×C43—41no—
803C22×C43C23×D411yescharacteristic
804C2×D43—21no—
805C2×D43—21no—
806C2×D43—21no—
807C2×D43—21no—
808C2×D43—22no—
809C2×D43—22no—
810C2×D43—21no—
811C2×D43—21no—
812C2×D43—41no—
813C2×D43—41no—
814C2×D43—41no—
815C2×D43—41no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—84no—
820C2×D43—162no—
821C4×C43—21no—
822C4×C43—21no—
823C4×C43—21no—
824C4×C43—21no—
825C4×C43—21no—
826C4×C43—41no—
827C4×C43—41no—
828C4×C43—41no—
829C4×C43—41no—
830C4×C43—41no—
831C4×C43—41no—
832C4×C43—41no—
833C4×C43C22×#4111yescharacteristic
834C4×C43#58511yescharacteristic
835Dic43—21no—
836Dic43—21no—
837Dic43—21no—
838Dic43—21no—
839Dic43—21no—
840Dic43—21no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845Dic43—41no—
846#3515—431no—
847#3513—431no—
848#3400—431no—
849#3389—431no—
850#3372—431no—
851#3370—431no—
852#3352—431no—
853#3346—431no—
854#3343—431no—
855#3330—431no—
856#3323—431no—
857#3315—431no—
858#3314—431no—
859#3310—431no—
860#3307—431no—
861#3272—431no—
862#3267—431no—
863#3267—431no—
864#3178—431no—
865#3174—431no—
866#3172D4311yescharacteristic, complemented
867#3124—431no—
868#3123—431no—
869#3120—431no—
870#3119—431no—
871#3111—431no—
872#3110—431no—
873#2967—431no—
874#2951—431no—
875#2946—431no—
876C4×AGL(1,ℤ/8)—431no—
877C2×C43—41no—
878C2×C43—81no—
879C2×C43D4×#4111yescharacteristic
880C2×C43#358511yescharacteristic
881C2×C43#358611yescharacteristic
882D43—41no—
883D43—41no—
884D43—42no—
885D43—42no—
886D43—81no—
887C2×AGL(1,ℤ/8)—431no—
888C2×AGL(1,ℤ/8)—431no—
889C2×#135—431no—
890#559—431no—
891#557—431no—
892#554—431no—
893#554—431no—
894#554—431no—
895#553—431no—
896#553—861no—
897#553—861no—
898#552—431no—
899#552—431no—
900#552—431no—
901#552—861no—
902#552—861no—
903#552—861no—
904#551—861no—
905#551—861no—
906#547—431no—
907#547—431no—
908#547—431no—
909#547—431no—
910#546—431no—
911#546—431no—
912#546—861no—
913D42—431no—
914#542—431no—
915#541—431no—
916#541—431no—
917#540—431no—
918#539—861no—
919#539—861no—
920#539—861no—
921#538—861no—
922#533C2×D4311yescharacteristic, complemented
923#529—431no—
924#529—861no—
925#529C2×D4311yescharacteristic
926C2×#125—861no—
927#525—861no—
928C2×#123—861no—
929#520—431no—
930#520—431no—
931#520—431no—
932#518—431no—
933C4×#41—431no—
934C2×C4×D4—431no—
935#501—431no—
936#501C2×D4311yescharacteristic, complemented
937#499—431no—
938#497—431no—
939#497C2×D4311yescharacteristic, complemented
940#492—431no—
941#491—431no—
942#491C2×D4311yescharacteristic, complemented
943#490—431no—
944#489C2×D4311yescharacteristic, complemented
945#488—431no—
946#487—431no—
947#485—431no—
948#485—431no—
949#485—431no—
950#484—431no—
951#484—431no—
952#484—431no—
953#484—431no—
954#483—431no—
955#482—431no—
956#481—431no—
957#480—431no—
958#480—431no—
959#479—431no—
960#479—431no—
961#479—431no—
962#478—431no—
963#478—431no—
964#478—431no—
965#478—431no—
966#478—431no—
967#477—431no—
968#474—431no—
969#474—431no—
970#474—431no—
971#470—431no—
972#470C2×D4311yescharacteristic, complemented
973#470C2×D4311yescharacteristic, complemented
974#468—431no—
975#468—431no—
976#468—431no—
977#468C2×D4311yescharacteristic
978#468C2×D4311yescharacteristic
979#467—431no—
980#465—431no—
981#465—431no—
982#465—431no—
983#464—431no—
984#464—431no—
985#463—431no—
986#463—431no—
987#462—431no—
988#461—431no—
989#461—431no—
990#461—431no—
991#461—431no—
992#461—431no—
993#460—431no—
994#459—431no—
995#452—431no—
996#452—431no—
997#452—431no—
998#452—431no—
999#450—431no—
1000#450—431no—
1001#450—431no—
1002#450—431no—
1003#449—431no—
1004#449—431no—
1005#449—431no—
1006#449—431no—
1007#446—431no—
1008#446—431no—
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#442—431no—
1013#441—431no—
1014#440—431no—
1015#440—431no—
1016#440—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024#440—431no—
1025C4×Q16—431no—
1026C4×Q16C2×D4311yescharacteristic, complemented
1027C4×Q16C2×D4311yescharacteristic, complemented
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16C2×D4311yescharacteristic, complemented
1032C4×SD16C2×D4311yescharacteristic, complemented
1033C4×D8—431no—
1034C4×D8—431no—
1035C4×D8—431no—
1036C4×D8—431no—
1037#436—431no—
1038#436—431no—
1039#435—431no—
1040#435—431no—
1041#435—431no—
1042#435—431no—
1043#433—431no—
1044#433—431no—
1045#432—431no—
1046#428—431no—
1047#428—431no—
1048C2×#107—431no—
1049#418—431no—
1050#417—431no—
1051#417—431no—
1052#417—431no—
1053#416—431no—
1054C2×#102—431no—
1055#405—431no—
1056#405—431no—
1057C4×M16C2×D4311yescharacteristic, complemented
1058C43#6150911yescharacteristic, complemented, Sylow
1059C2×#41—431no—
1060C2×#41—431no—
1061C2×#41—431no—
1062C2×#41—431no—
1063C2×#41—861no—
1064C22×D4—431no—
1065C22×D4—431no—
1066C22×D4—861no—
1067C23×C4—861no—
1068AGL(1,ℤ/8)—864no—
1069AGL(1,ℤ/8)—864no—
1070#135—864no—
1071C2×Q16—431no—
1072C2×Q16C22×D4311yescharacteristic
1073C2×Q16C22×D4311yescharacteristic
1074C2×SD16—431no—
1075C2×SD16—431no—
1076C2×SD16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—431no—
1080C2×SD16—431no—
1081C2×SD16—431no—
1082C2×SD16C22×D4311yescharacteristic
1083C2×SD16C22×D4311yescharacteristic
1084C2×D8—431no—
1085C2×D8—431no—
1086C2×D8—431no—
1087C2×M16—431no—
1088C2×M16—431no—
1089C2×M16C22×D4311yescharacteristic
1090C2×M16C22×D4311yescharacteristic
1091C22×C8—431no—
1092C22×C8—431no—
1093C4⋊Q8—431no—
1094C4⋊Q8—431no—
1095C4⋊Q8—431no—
1096C4⋊Q8C22×D4311yescharacteristic
1097C4⋊Q8C22×D4311yescharacteristic
1098#127—431no—
1099#126—21no—
1100#126—431no—
1101#126—431no—
1102#126—861no—
1103#126—861no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#126—861no—
1109#126—861no—
1110#126—861no—
1111#125—21no—
1112#125—431no—
1113#125—431no—
1114#125—431no—
1115#125—431no—
1116#125—861no—
1117#125—861no—
1118#125—861no—
1119#125—861no—
1120#125—861no—
1121#125—861no—
1122#125—861no—
1123#125—861no—
1124#125—861no—
1125#125—861no—
1126#125—861no—
1127#125C22×D4311yescharacteristic
1128#124—431no—
1129#124—431no—
1130#124—861no—
1131#124—861no—
1132#124C22×D4311yescharacteristic
1133#123—21no—
1134#123—431no—
1135#123—431no—
1136#123—861no—
1137#123—861no—
1138#123—861no—
1139#123—861no—
1140#123—861no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147#123—861no—
1148#123—861no—
1149#123—861no—
1150#123—861no—
1151#123—861no—
1152#123—861no—
1153#123—861no—
1154#123—861no—
1155C22⋊Q8—21no—
1156C22⋊Q8—431no—
1157C22⋊Q8—431no—
1158C22⋊Q8—431no—
1159C22⋊Q8—431no—
1160C22⋊Q8—431no—
1161C22⋊Q8—431no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8—861no—
1169C22⋊Q8—861no—
1170C22⋊Q8—861no—
1171C22⋊Q8—861no—
1172C22⋊Q8C22×D4311yescharacteristic
1173C22⋊Q8C22×D4311yescharacteristic
1174C22⋊Q8C22×D4311yescharacteristic
1175#121—431no—
1176#121—431no—
1177#121—431no—
1178#121—431no—
1179#121—861no—
1180#121—861no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121—861no—
1186#121—861no—
1187#121—861no—
1188#121C22×D4311yescharacteristic
1189#120—861no—
1190#120—861no—
1191#120—861no—
1192#120—861no—
1193C4×Q8—21no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—431no—
1199C4×Q8—431no—
1200C4×Q8—861no—
1201C4×Q8C22×D4311yescharacteristic
1202C4×Q8C22×D4311yescharacteristic
1203C4×Q8C22×D4311yescharacteristic
1204C4×D4—21no—
1205C4×D4—431no—
1206C4×D4—431no—
1207C4×D4—431no—
1208C4×D4—431no—
1209C4×D4—431no—
1210C4×D4—431no—
1211C4×D4—431no—
1212C4×D4—431no—
1213C4×D4—431no—
1214C4×D4—431no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—431no—
1218C4×D4—431no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4—861no—
1229C4×D4—861no—
1230C4×D4—861no—
1231C4×D4—861no—
1232C4×D4—861no—
1233C4×D4—861no—
1234C4×D4C22×D4311yescharacteristic
1235#117—21no—
1236#117—21no—
1237#117—431no—
1238#117—431no—
1239#117—431no—
1240#117—431no—
1241#117—861no—
1242#117—861no—
1243#117—861no—
1244#117—861no—
1245#117—861no—
1246#117—861no—
1247#117—861no—
1248C2×C4⋊C4—431no—
1249C2×C4⋊C4—431no—
1250C2×C4⋊C4—431no—
1251C2×C4⋊C4—431no—
1252C2×C4⋊C4—861no—
1253C2×C4⋊C4—861no—
1254C2×C4⋊C4—861no—
1255C2×C4⋊C4—861no—
1256C2×C4⋊C4—861no—
1257C2×C4⋊C4—861no—
1258C2×C4⋊C4—861no—
1259C2×C4⋊C4—861no—
1260C2×C22⋊C4—861no—
1261C2×C22⋊C4—861no—
1262C2×C22⋊C4—861no—
1263C2×C22⋊C4—861no—
1264C2×C22⋊C4—861no—
1265C2×C42—861no—
1266C2×C42C22×D4311yescharacteristic
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107—431no—
1273#107—431no—
1274#107—431no—
1275#107C22×D4311yescharacteristic
1276#107C22×D4311yescharacteristic
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106—431no—
1281#106C22×D4311yescharacteristic
1282#106C22×D4311yescharacteristic
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8—431no—
1287C4⋊C8—431no—
1288C4⋊C8—431no—
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103—431no—
1299#103C22×D4311yescharacteristic
1300#103C22×D4311yescharacteristic
1301#103C22×D4311yescharacteristic
1302#103C22×D4311yescharacteristic
1303#103C22×D4311yescharacteristic
1304#103C22×D4311yescharacteristic
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102—431no—
1316#102—431no—
1317#102—431no—
1318#102—431no—
1319#102C22×D4311yescharacteristic
1320#102C22×D4311yescharacteristic
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8—431no—
1324C22⋊C8—431no—
1325C22⋊C8—431no—
1326C22⋊C8—431no—
1327#97—431no—
1328#97—431no—
1329#97—431no—
1330#97—431no—
1331#97C22×D4311yescharacteristic
1332#97C22×D4311yescharacteristic
1333C4×C8—431no—
1334C4×C8—431no—
1335C4×C8C22×D4311yescharacteristic
1336C4×C8C22×D4311yescharacteristic
1337C24—861no—
1338C24—861no—
1339#41—862no—
1340#41—862no—
1341#41—862no—
1342#41—862no—
1343#41—3442no—
1344#41—1721no—
1345#41—1721no—
1346#41—1721no—
1347#41—1721no—
1348C2×Q8—21no—
1349C2×Q8—431no—
1350C2×Q8—431no—
1351C2×Q8—861no—
1352C2×Q8C23×D4311yescharacteristic
1353C2×Q8C23×D4311yescharacteristic
1354C2×Q8C23×D4311yescharacteristic
1355C2×D4—21no—
1356C2×D4—431no—
1357C2×D4—431no—
1358C2×D4—431no—
1359C2×D4—431no—
1360C2×D4—431no—
1361C2×D4—431no—
1362C2×D4—862no—
1363C2×D4—861no—
1364C2×D4—861no—
1365C2×D4—861no—
1366C2×D4—861no—
1367C2×D4—861no—
1368C2×D4—861no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—862no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—3442no—
1376C2×D4—1721no—
1377C2×D4—1721no—
1378C2×D4C23×D4311yescharacteristic
1379C22×C4—21no—
1380C22×C4—431no—
1381C22×C4—431no—
1382C22×C4—861no—
1383C22×C4—861no—
1384C22×C4—861no—
1385C22×C4—861no—
1386C22×C4—861no—
1387C22×C4—861no—
1388C22×C4—861no—
1389C22×C4—861no—
1390C22×C4—861no—
1391C22×C4—861no—
1392C22×C4—861no—
1393C22×C4—861no—
1394C22×C4—861no—
1395C22×C4—861no—
1396C22×C4—861no—
1397C22×C4—861no—
1398C22×C4—861no—
1399C22×C4—861no—
1400C22×C4—861no—
1401C22×C4—3442no—
1402C22×C4D4×D4311yescharacteristic
1403C22×C4D4×D4311yescharacteristic
1404C22×C4C23×D4311yescharacteristic
1405Q16—22no—
1406Q16—41no—
1407Q16—1721no—
1408SD16—22no—
1409SD16—41no—
1410SD16—862no—
1411SD16—862no—
1412SD16—862no—
1413SD16—862no—
1414SD16—862no—
1415SD16—1721no—
1416SD16—1721no—
1417SD16—1721no—
1418D8—434no—
1419D8—862no—
1420D8—862no—
1421M16—22no—
1422M16—41no—
1423M16—862no—
1424M16—1721no—
1425C2×C8—431no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—431no—
1429C2×C8—862no—
1430C2×C8—1721no—
1431C2×C8C23×D4311yescharacteristic
1432C2×C8C23×D4311yescharacteristic
1433C2×C8C23×D4311yescharacteristic
1434C2×C8C23×D4311yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—431no—
1447C4⋊C4—431no—
1448C4⋊C4—431no—
1449C4⋊C4—431no—
1450C4⋊C4—431no—
1451C4⋊C4—431no—
1452C4⋊C4—431no—
1453C4⋊C4—431no—
1454C4⋊C4—431no—
1455C4⋊C4—431no—
1456C4⋊C4—431no—
1457C4⋊C4—431no—
1458C4⋊C4—431no—
1459C4⋊C4—431no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4—861no—
1477C4⋊C4—861no—
1478C4⋊C4—861no—
1479C4⋊C4—861no—
1480C4⋊C4—861no—
1481C4⋊C4—861no—
1482C4⋊C4—861no—
1483C4⋊C4—861no—
1484C4⋊C4—861no—
1485C4⋊C4C23×D4311yescharacteristic
1486C4⋊C4C23×D4311yescharacteristic
1487C4⋊C4C23×D4311yescharacteristic
1488C4⋊C4C23×D4311yescharacteristic
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—431no—
1497C22⋊C4—431no—
1498C22⋊C4—431no—
1499C22⋊C4—431no—
1500C22⋊C4—431no—
1501C22⋊C4—431no—
1502C22⋊C4—431no—
1503C22⋊C4—431no—
1504C22⋊C4—431no—
1505C22⋊C4—431no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4—861no—
1520C22⋊C4—861no—
1521C22⋊C4—861no—
1522C22⋊C4—861no—
1523C22⋊C4—861no—
1524C22⋊C4—861no—
1525C22⋊C4—861no—
1526C22⋊C4—861no—
1527C22⋊C4—861no—
1528C22⋊C4—861no—
1529C42—21no—
1530C42—21no—
1531C42—21no—
1532C42—431no—
1533C42—431no—
1534C42—861no—
1535C42—861no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42D4×D4311yescharacteristic
1542C42D4×D4311yescharacteristic
1543C42C23×D4311yescharacteristic
1544C42C23×D4311yescharacteristic
1545C23—21no—
1546C23—431no—
1547C23—431no—
1548C23—861no—
1549C23—861no—
1550C23—861no—
1551C23—3441no—
1552C23—3441no—
1553C23—3441no—
1554C23—1722no—
1555C23—1722no—
1556C23—1722no—
1557C23C2×D4×D4311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—21no—
1563Q8—21no—
1564Q8—81no—
1565Q8—861no—
1566Q8—861no—
1567Q8—3441no—
1568Q8—1721no—
1569D4—21no—
1570D4—21no—
1571D4—42no—
1572D4—432no—
1573D4—432no—
1574D4—861no—
1575D4—861no—
1576D4—861no—
1577D4—861no—
1578D4—3441no—
1579D4—3441no—
1580D4—3441no—
1581D4—3441no—
1582D4—3441no—
1583D4—1721no—
1584D4—1722no—
1585D4—1722no—
1586D4—1722no—
1587D4—1722no—
1588D4—1721no—
1589D4—1721no—
1590D4—1722no—
1591D4—1722no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—81no—
1604C2×C4—431no—
1605C2×C4—431no—
1606C2×C4—431no—
1607C2×C4—431no—
1608C2×C4—431no—
1609C2×C4—431no—
1610C2×C4—861no—
1611C2×C4—861no—
1612C2×C4—861no—
1613C2×C4—861no—
1614C2×C4—861no—
1615C2×C4—861no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—3441no—
1620C2×C4—3441no—
1621C2×C4—3441no—
1622C2×C4—3441no—
1623C2×C4—3441no—
1624C2×C4—3441no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—3441no—
1630C2×C4—3441no—
1631C2×C4—3441no—
1632C2×C4—1722no—
1633C2×C4—1722no—
1634C2×C4—1722no—
1635C2×C4—1722no—
1636C2×C4—1722no—
1637C2×C4—1722no—
1638C2×C4C2×D4×D4311yescharacteristic
1639C2×C4C2×D4×D4311yescharacteristic
1640C2×C4C2×D4×D4311yescharacteristic
1641C2×C4C2×D4×D4311yescharacteristic
1642C2×C4C2×D4×D4311yescharacteristic
1643C2×C4C24×D4311yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—861no—
1648C8—861no—
1649C8—861no—
1650C8—861no—
1651C8#41×D4312yes—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—861no—
1659C22—861no—
1660C22—862no—
1661C22—862no—
1662C22—861no—
1663C22—861no—
1664C22—861no—
1665C22—861no—
1666C22—3444no—
1667C22—1721no—
1668C22—1721no—
1669C22—1721no—
1670C22—1721no—
1671C22—1721no—
1672C22—1721no—
1673C22—1721no—
1674C22—6882no—
1675C22C22×D4×D4311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—861no—
1689C4—861no—
1690C4—861no—
1691C4—861no—
1692C4—861no—
1693C4—861no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4—1721no—
1698C4—1721no—
1699C4C2×#41×D4311yescharacteristic
1700C4#1458373511yescharacteristic
1701C2—41no—
1702C2—81no—
1703C2—3441no—
1704C2—1721no—
1705C2—1721no—
1706C2—1722no—
1707C2—1722no—
1708C2#1914808111yescharacteristic
1709C2#1914937211yescharacteristic
1710C2#1914937811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3172C2
socleC22×C43C23×D4
hypercenter#3172D43
hypocenterC43#61509
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3172

Complements

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

NH ≅ G/Ntype
1. #19148568C2semidirect
2. #19148529C2semidirect
3. #19147645C2semidirect
4. #19147550C2semidirect
5. #19147373C2semidirect
6. #19147347C2semidirect
7. #19147165C2semidirect
8. #19147079C2semidirect
9. #19147030C2semidirect
10. #19146895C2semidirect
11. #19146817C2semidirect
12. #19146686C2semidirect
13. #19146675C2semidirect
14. #19146611C2semidirect
15. #19146570C2semidirect
16. #19146192C2semidirect
17. #19146127C2semidirect
18. #19146119C2semidirect
19. #19145267C2semidirect
20. #19145219C2semidirect
21. #19144863C2semidirect
22. #19144844C2semidirect
23. #19144815C2semidirect
24. #19144800C2semidirect
25. #19144698C2semidirect
26. #19144690C2semidirect
27. #19143580C2semidirect
28. #19143470C2semidirect
29. #19143422C2semidirect
30. C4×#13063353C2semidirect
31. C43×#3172C2semidirect
36. #14583624C22semidirect
37. #14583610C22semidirect
38. #14583610C22semidirect
48. #14583583C22semidirect
51. #14583552C22semidirect
53. #14583551C22semidirect
60. #14583507C22semidirect
61. #14583507C22semidirect
73. #14583381C22semidirect
74. #14583381C22semidirect
76. C4×#10621898C22semidirect
78. #14583307C22semidirect
79. #14583299C22semidirect
80. #14583292C22semidirect
82. #14583266C22semidirect
84. #14583255C22semidirect
85. #14583248C22semidirect
86. #14583243C22semidirect
87. #14583238C22semidirect
88. #14583237C22semidirect
89. #14583236C22semidirect
90. #14583233C22semidirect
91. #14583232C22semidirect
92. #14583232C22semidirect
93. #14583228C22semidirect
95. #14583219C22semidirect
97. #14583211C22semidirect
98. #14583208C22semidirect
99. #14583204C22semidirect
100. #14583203C22semidirect
102. #14583201C22semidirect
104. #14583198C22semidirect
105. #14583196C22semidirect
106. #14583192C22semidirect
107. #14583178C22semidirect
109. #14583176C22semidirect
110. #14583154C22semidirect
111. #14583148C22semidirect
113. #14583144C22semidirect
114. #14583139C22semidirect
116. #14583129C22semidirect
117. #14583125C22semidirect
118. #14583123C22semidirect
119. #14583118C22semidirect
120. #14583117C22semidirect
121. #14583111C22semidirect
122. #14583107C22semidirect
125. #14583102C22semidirect
127. #14583101C22semidirect
132. #14583060C22semidirect
133. #14583059C22semidirect
139. #14583047C22semidirect
140. #14583043C22semidirect
142. #14583027C22semidirect
143. #14583027C22semidirect
145. #14583012C22semidirect
147. #14583009C22semidirect
148. #14583004C22semidirect
150. #14583002C22semidirect
152. #14583001C22semidirect
153. #14583000C22semidirect
154. #14582999C22semidirect
157. #14582997C22semidirect
158. #14582997C22semidirect
159. #14582997C22semidirect
160. Q16×Dic43C22semidirect
162. C4×#10621873C22semidirect
165. C4×D344C22semidirect
167. #14582979C22semidirect
169. #14582975C22semidirect
170. #14582972C22semidirect
171. #14582972C22semidirect
173. #14582968C22semidirect
174. #14582958C22semidirect
175. #14582958C22semidirect
176. #14582956C22semidirect
177. #14582941C22semidirect
178. #14582938C22semidirect
179. #107×D43C22semidirect
181. #14582901C22semidirect
183. #14582899C22semidirect
184. #14582894C22semidirect
186. #14582853C22semidirect
187. #14582853C22semidirect
188. C43×#533C22semidirect
190. C43×#501C22semidirect
191. C43×#497C22semidirect
192. C43×#491C22semidirect
193. C43×#489C22semidirect
194. C43×#470C22semidirect
195. C43×#470C22semidirect
198. C4×Q16×C43C22semidirect
199. C4×Q16×C43C22semidirect
200. C4×SD16×C43C22semidirect
201. C4×SD16×C43C22semidirect
202. C4×M16×C43C22semidirect
682. D344#41semidirect
866. #3172D43semidirect
922. #533C2×D43semidirect
936. #501C2×D43semidirect
939. #497C2×D43semidirect
942. #491C2×D43semidirect
944. #489C2×D43semidirect
972. #470C2×D43semidirect
973. #470C2×D43semidirect
1026. C4×Q16C2×D43semidirect
1027. C4×Q16C2×D43semidirect
1031. C4×SD16C2×D43semidirect
1032. C4×SD16C2×D43semidirect
1057. C4×M16C2×D43semidirect
1058. C43#61509semidirect

Maximal subgroups

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

subgroupindex
#191485682
#191485292
#191476452
#191475502
#191473732
#191473472
#191471652
#191470792
#191470302
#191468952
#191468172
#191466862
#191466752
#191466112
#191465702
#191461922
#191461272
#191461192
#191452672
#191452192
#191448632
#191448442
#191448152
#191448002
#191446982
#191446902
#191435802
#191434702
#191434222
C4×#130633532
C43×#31722
#6150943