Finite Group Databasebeta

← #25979913

Subgroups — #25979913

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#19148657C211yesmaximal, characteristic, complemented
2#19148639C211yesmaximal, characteristic, complemented
3#19147671C211yesmaximal, characteristic, complemented
4#19147491C211yesmaximal, characteristic, complemented
5#19147417C211yesmaximal, characteristic, complemented
6#19147310C211yesmaximal, characteristic, complemented
7#19147205C211yesmaximal, characteristic, complemented
8#19147075C211yesmaximal, characteristic, complemented
9#19147034C211yesmaximal, characteristic, complemented
10#19146906C211yesmaximal, characteristic, complemented
11#19146802C211yesmaximal, characteristic, complemented
12#19146690C211yesmaximal, characteristic, complemented
13#19146671C211yesmaximal, characteristic, complemented
14#19146626C211yesmaximal, characteristic, complemented
15#19146555C211yesmaximal, characteristic, complemented
16#19146203C211yesmaximal, characteristic, complemented
17#19146127C211yesmaximal, characteristic, complemented
18#19146119C211yesmaximal, characteristic, complemented
19#19145267C211yesmaximal, characteristic, complemented
20#19145208C211yesmaximal, characteristic, complemented
21#19144878C211yesmaximal, characteristic, complemented
22#19144863C211yesmaximal, characteristic, complemented
23#19144815C211yesmaximal, characteristic, complemented
24#19144785C211yesmaximal, characteristic, complemented
25#19144751C211yesmaximal, characteristic, complemented
26#19144729C211yesmaximal, 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#14583623C2211yescharacteristic, complemented
36#14583620C2211yescharacteristic
37#14583618C2211yescharacteristic, complemented
38#14583607C2211yescharacteristic
39#14583607C2211yescharacteristic, complemented
40#14583605C2211yescharacteristic, complemented
41#14583599—21no—
42#14583596C2211yescharacteristic
43#14583590—21no—
44#14583588—21no—
45#14583587C2211yescharacteristic, complemented
46#14583578—21no—
47#14583573—21no—
48#14583573—21no—
49#14583573—21no—
50#14583564C2211yescharacteristic, complemented
51#14583561—21no—
52#14583552C2211yescharacteristic
53#14583552C2211yescharacteristic
54#14583551C2211yescharacteristic
55#14583546C2211yescharacteristic
56#14583542C2211yescharacteristic, complemented
57#14583540C2211yescharacteristic
58#14583540C2211yescharacteristic, complemented
59#14583521C2211yescharacteristic
60#14583521C2211yescharacteristic, complemented
61#14583514C2211yescharacteristic, complemented
62#14583507C2211yescharacteristic, complemented
63#14583497—21no—
64#14583497—21no—
65#14583492—21no—
66#14583485—21no—
67#14583433C2211yescharacteristic
68#14583432—21no—
69#126×D43—21no—
70#14583412—21no—
71C22⋊Q8×D43—21no—
72#14583381C2211yescharacteristic
73#14583381C2211yescharacteristic, complemented
74#14583381C2211yescharacteristic, complemented
75#14583371C2211yescharacteristic, complemented
76C4×#10621898C2211yescharacteristic
77C2×C4×D172C2211yescharacteristic, complemented
78#14583307C2211yescharacteristic, complemented
79#14583296C2211yescharacteristic, complemented
80#14583292C2211yescharacteristic, complemented
81#14583280C2211yescharacteristic
82#14583260C2211yescharacteristic, complemented
83#14583257C2211yescharacteristic, complemented
84#14583255C2211yescharacteristic, complemented
85#14583248C2211yescharacteristic, complemented
86#14583239C2211yescharacteristic, complemented
87#14583237C2211yescharacteristic, complemented
88#14583237C2211yescharacteristic, complemented
89#14583236C2211yescharacteristic, complemented
90#14583233C2211yescharacteristic, complemented
91#14583231C2211yescharacteristic, complemented
92#14583228C2211yescharacteristic, complemented
93#14583227C2211yescharacteristic, complemented
94#14583225C2211yescharacteristic
95#14583216C2211yescharacteristic, complemented
96#14583214C2211yescharacteristic, complemented
97#14583210C2211yescharacteristic
98#14583204C2211yescharacteristic, complemented
99#14583202C2211yescharacteristic, complemented
100#14583196C2211yescharacteristic, complemented
101#14583196C2211yescharacteristic, complemented
102#14583192C2211yescharacteristic, complemented
103#14583191C2211yescharacteristic, complemented
104#14583188C2211yescharacteristic, complemented
105#14583188C2211yescharacteristic, complemented
106#14583186C2211yescharacteristic, complemented
107#14583182C2211yescharacteristic, complemented
108#14583178C2211yescharacteristic, complemented
109#14583177C2211yescharacteristic, complemented
110#14583156C2211yescharacteristic, complemented
111#14583154C2211yescharacteristic, complemented
112#14583151C2211yescharacteristic
113#14583146C2211yescharacteristic
114#14583139C2211yescharacteristic, complemented
115#14583131C2211yescharacteristic
116#14583129C2211yescharacteristic, complemented
117#14583125C2211yescharacteristic, complemented
118#14583123C2211yescharacteristic, complemented
119#14583119C2211yescharacteristic, complemented
120#14583117C2211yescharacteristic
121#14583117C2211yescharacteristic
122#14583116C2211yescharacteristic
123#14583113C2211yescharacteristic
124#14583111C2211yescharacteristic
125#14583111C2211yescharacteristic
126#14583107C2211yescharacteristic, complemented
127#14583106C2211yescharacteristic, complemented
128#14583103C2211yescharacteristic, complemented
129#14583101C2211yescharacteristic, complemented
130#14583064C2211yescharacteristic
131#14583064C2211yescharacteristic, complemented
132#14583060C2211yescharacteristic
133#14583060C2211yescharacteristic, complemented
134#14583059C2211yescharacteristic
135#14583059C2211yescharacteristic
136#14583049C2211yescharacteristic, complemented
137#14583048C2211yescharacteristic, complemented
138#14583047C2211yescharacteristic
139#14583043C2211yescharacteristic
140#14583034C2211yescharacteristic
141#14583032C2211yescharacteristic
142#14583027C2211yescharacteristic, complemented
143#14583027C2211yescharacteristic, complemented
144#14583012C2211yescharacteristic
145#14583012C2211yescharacteristic
146#14583010C2211yescharacteristic
147#14583009C2211yescharacteristic
148#14583009C2211yescharacteristic
149#14583004C2211yescharacteristic, complemented
150#14583004C2211yescharacteristic, complemented
151#14583002C2211yescharacteristic, complemented
152#14583002C2211yescharacteristic, complemented
153#14583001C2211yescharacteristic, complemented
154#14583001C2211yescharacteristic, complemented
155#14583000C2211yescharacteristic, complemented
156#14582997C2211yescharacteristic, complemented
157#14582997C2211yescharacteristic, complemented
158#14582997C2211yescharacteristic, complemented
159#14582997C2211yescharacteristic, complemented
160Q16×Dic43C2211yescharacteristic, complemented
161C4×#10621873C2211yescharacteristic, complemented
162C4×#10621873C2211yescharacteristic, complemented
163#14582984C2211yescharacteristic, complemented
164C4×D344C2211yescharacteristic
165C4×D344C2211yescharacteristic
166#14582981C2211yescharacteristic
167#14582979C2211yescharacteristic
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, complemented
181#14582901C2211yescharacteristic
182#14582899C2211yescharacteristic, complemented
183#14582899C2211yescharacteristic, complemented
184#14582894C2211yescharacteristic
185#102×D43C2211yescharacteristic, complemented
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×#10621902—21no—
204C2×#10621902C2311yescharacteristic
205C2×#10621902C2311yescharacteristic
206C2×#10621902C2311yescharacteristic
207C2×#10621898C2311yescharacteristic
208C2×Q8×D43—21no—
209C22×D172C2311yescharacteristic
210C2×D4×D43C2311yescharacteristic
211C22×C4×D43—21no—
212#13063353—24no—
213#13063352—24no—
214#13063348—24no—
215C2×#10621885C2311yescharacteristic
216C2×#10621885C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×D344C2311yescharacteristic
224C2×D344C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621872C2311yescharacteristic
228C2×#10621872C2311yescharacteristic
229C2×C8×D43C2311yescharacteristic
230C2×C8×D43C2311yescharacteristic
231#13063324C2311yescharacteristic
232#13063324C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063323C2311yescharacteristic
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063319—21no—
241#13063319—21no—
242#13063319—21no—
243#13063319D411yescharacteristic
244#13063319D411yescharacteristic
245#13063318—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318—21no—
250#13063317—21no—
251#13063317D411yescharacteristic
252#13063316—21no—
253#13063316C2311yescharacteristic
254#13063315—21no—
255#13063315—21no—
256#13063315—21no—
257#13063314C2311yescharacteristic
258#13063314C2311yescharacteristic
259#13063313—21no—
260#13063313—21no—
261#13063313D411yescharacteristic
262#13063312C2311yescharacteristic
263#13063311—21no—
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#13063310—21no—
273#13063310—21no—
274#13063310—21no—
275#13063308—21no—
276#13063308D411yescharacteristic
277#13063308D411yescharacteristic
278#13063307—21no—
279#13063307—21no—
280#13063307—21no—
281#13063306—21no—
282#13063305—21no—
283#13063305—21no—
284#13063305—21no—
285#13063305—21no—
286#13063305C2311yescharacteristic
287#13063305C2311yescharacteristic
288#13063304—21no—
289#13063304D411yescharacteristic
290#13063303—21no—
291#13063303—21no—
292#13063303—21no—
293#13063303—21no—
294#13063303—21no—
295#13063303—21no—
296#13063302—21no—
297#13063302—21no—
298#13063302—21no—
299#13063301—21no—
300#13063301—21no—
301#13063301C2311yescharacteristic
302#13063301C2311yescharacteristic
303#13063301C2311yescharacteristic
304#13063300—21no—
305#13063300—21no—
306#13063300—21no—
307#13063300C2311yescharacteristic
308#13063300C2311yescharacteristic
309#13063299D411yescharacteristic
310#13063298—21no—
311#13063298—21no—
312#13063296—21no—
313#13063296—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#13063287C2311yescharacteristic
343#13063287C2311yescharacteristic
344#13063287C2311yescharacteristic
345#13063287C2311yescharacteristic
346C4×C22⋊D43—21no—
347C4×C22⋊D43—21no—
348C4×C22⋊D43—21no—
349C4×C22⋊D43C2311yescharacteristic
350C4×C22⋊D43C2311yescharacteristic
351(C22⋊D43)⋊C4—21no—
352(C22⋊D43)⋊C4—21no—
353(C22⋊D43)⋊C4—21no—
354(C22⋊D43)⋊C4—21no—
355#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×D43C2311yescharacteristic
374C4⋊C4×D43C2311yescharacteristic
375C4⋊C4×D43C2311yescharacteristic
376C2×(C2×D43)⋊C4—21no—
377C2×(C2×D43)⋊C4—21no—
378C22⋊C4×D43—21no—
379C22⋊C4×D43—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#13063257C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396C4⋊(C43⋊C8)C2311yescharacteristic
397C4⋊(C43⋊C8)C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402#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⋊D43C2×D411yescharacteristic
497C2×C22⋊D43C2×D411yescharacteristic
498C22×Dic43—21no—
499C22×Dic43—21no—
500#10621902—22no—
501#10621902—22no—
502#10621902—22no—
503#10621902—41no—
504#10621902—41no—
505#10621902—41no—
506#10621902—82no—
507Q8×D43—82no—
508D4×D43—22no—
509D4×D43—41no—
510#10621898—22no—
511#10621898—41no—
512C2×D172—21no—
513C2×D172—21no—
514C2×D172—21no—
515C2×D172—21no—
516C2×D172—21no—
517C2×D172—21no—
518C2×D172—22no—
519C2×D172—41no—
520C2×D172C2×D411yescharacteristic
521C2×D172C2411yescharacteristic
522C2×D172C2411yescharacteristic
523C2×D172C2411yescharacteristic
524C2×C4×D43—21no—
525C2×C4×D43—21no—
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—82no—
542C2×C4×D43C2411yescharacteristic
543C2×C4×D43C2411yescharacteristic
544C2×Dic86—21no—
545C2×Dic86—21no—
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⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43C2×D411yescharacteristic
594C22⋊Dic43C2×D411yescharacteristic
595#10621885—41no—
596#10621885—41no—
597#10621884—22no—
598#10621884—22no—
599#10621884—22no—
600#10621884—41no—
601#10621882—22no—
602#10621882—41no—
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)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4C2×D411yescharacteristic
626(C2×D43)⋊C4C2×D411yescharacteristic
627(C2×D43)⋊C4C2×D411yescharacteristic
628(C2×D43)⋊C4C2×D411yescharacteristic
629(C2×D43)⋊C4C2×D411yescharacteristic
630(C2×D43)⋊C4C2×D411yescharacteristic
631(C2×D43)⋊C4C2×D411yescharacteristic
632(C2×D43)⋊C4C2×D411yescharacteristic
633C4⋊Dic43—21no—
634C4⋊Dic43—21no—
635C4⋊Dic43—21no—
636C4⋊Dic43—21no—
637C4⋊Dic43—21no—
638C4⋊Dic43—21no—
639C4⋊Dic43—21no—
640C4⋊Dic43C2×D411yescharacteristic
641C4⋊Dic43C2×D411yescharacteristic
642C4⋊Dic43C2411yescharacteristic
643C4⋊Dic43C2411yescharacteristic
644C4⋊Dic43C2411yescharacteristic
645C4⋊Dic43C2411yescharacteristic
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—42no—
709D4×C43—21no—
710D4×C43—21no—
711D4×C43—81no—
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—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—81no—
741C2×Dic43—81no—
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747C2×Dic43C22×D411yescharacteristic
748D172—21no—
749D172—21no—
750D172—21no—
751D172—21no—
752D172—41no—
753D172—42no—
754D172—42no—
755D172—42no—
756D172—42no—
757D172—81no—
758D172—81no—
759D172C2×#4112yes—
760D172C2×#4112yes—
761C4×D43—21no—
762C4×D43—21no—
763C4×D43—21no—
764C4×D43—21no—
765C4×D43—42no—
766C4×D43—42no—
767C4×D43—42no—
768C4×D43—42no—
769C4×D43—42no—
770C4×D43—42no—
771C4×D43—81no—
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—
782Dic86—21no—
783Dic86—21no—
784Dic86—41no—
785Dic86—81no—
786Dic86—81no—
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#61510—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#3521—431no—
847#3520—431no—
848#3402—431no—
849#3384—431no—
850#3376—431no—
851#3367—431no—
852#3356—431no—
853#3346—431no—
854#3343—431no—
855#3331—431no—
856#3322—431no—
857#3315—431no—
858#3314—431no—
859#3311—431no—
860#3306—431no—
861#3273—431no—
862#3267—431no—
863#3267—431no—
864#3178—431no—
865#3173—431no—
866#3172D4311yescharacteristic, complemented
867#3125—431no—
868#3124—431no—
869#3120—431no—
870#3118—431no—
871#3116—431no—
872#3114—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#556—431no—
891#556—431no—
892#556—431no—
893#554—431no—
894#554—431no—
895#554—431no—
896#553—431no—
897#553—861no—
898#552—431no—
899#552—861no—
900#552—861no—
901#551—861no—
902#551—861no—
903#551—861no—
904#551—861no—
905D4×Q8—431no—
906#548—861no—
907#547—431no—
908#547—431no—
909#547—431no—
910#546—431no—
911#546—431no—
912#546—431no—
913#546—431no—
914#542—431no—
915#542—431no—
916#542—431no—
917#541—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×#126—861no—
927#525—861no—
928C2×C22⋊Q8—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#498—431no—
938#497—431no—
939#497C2×D4311yescharacteristic, complemented
940#495—431no—
941#491C2×D4311yescharacteristic, complemented
942#489—431no—
943#489—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#483—431no—
953#483—431no—
954#483—431no—
955#482—431no—
956#481—431no—
957#480—431no—
958#480—431no—
959#479—431no—
960#478—431no—
961#478—431no—
962#478—431no—
963#477—431no—
964#477—431no—
965#476—431no—
966#476—431no—
967#476—431no—
968#475—431no—
969#474—431no—
970#474—431no—
971#470—431no—
972#470—431no—
973#470C2×D4311yescharacteristic, complemented
974#470C2×D4311yescharacteristic, complemented
975#469—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#463—431no—
988#463—431no—
989#463—431no—
990#463—431no—
991#462—431no—
992#462—431no—
993#461—431no—
994#461—431no—
995#452—431no—
996#452—431no—
997#452—431no—
998#452—431no—
999#452—431no—
1000#452—431no—
1001#450—431no—
1002#450—431no—
1003#449—431no—
1004#449—431no—
1005#447—431no—
1006#447—431no—
1007#446—431no—
1008#446—431no—
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#442—431no—
1013#442—431no—
1014#441—431no—
1015#441—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#6151011yescharacteristic, complemented, Sylow
1059C2×#41—431no—
1060C2×#41—431no—
1061C2×#41—431no—
1062C2×#41—431no—
1063C2×#41—861no—
1064C22×Q8—861no—
1065C22×D4—431no—
1066C22×D4—431no—
1067C23×C4—861no—
1068AGL(1,ℤ/8)—864no—
1069AGL(1,ℤ/8)—864no—
1070#135—864no—
1071C2×Q16—431no—
1072C2×Q16—431no—
1073C2×Q16C22×D4311yescharacteristic
1074C2×Q16C22×D4311yescharacteristic
1075C2×SD16—431no—
1076C2×SD16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—431no—
1080C2×SD16—431no—
1081C2×SD16C22×D4311yescharacteristic
1082C2×SD16C22×D4311yescharacteristic
1083C2×D8—431no—
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⋊Q8—431no—
1097C4⋊Q8C22×D4311yescharacteristic
1098C4⋊Q8C22×D4311yescharacteristic
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#126—861no—
1112#126—861no—
1113#126—861no—
1114#126—861no—
1115#125—21no—
1116#125—431no—
1117#125—431no—
1118#125—861no—
1119#125—861no—
1120#125—861no—
1121#125—861no—
1122#125—861no—
1123#125C22×D4311yescharacteristic
1124#124—431no—
1125#124—431no—
1126#124—431no—
1127#124—431no—
1128#124—861no—
1129#124—861no—
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—
1151C22⋊Q8—21no—
1152C22⋊Q8—431no—
1153C22⋊Q8—431no—
1154C22⋊Q8—431no—
1155C22⋊Q8—431no—
1156C22⋊Q8—431no—
1157C22⋊Q8—431no—
1158C22⋊Q8—861no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161C22⋊Q8—861no—
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⋊Q8—861no—
1173C22⋊Q8—861no—
1174C22⋊Q8C22×D4311yescharacteristic
1175C22⋊Q8C22×D4311yescharacteristic
1176C22⋊Q8C22×D4311yescharacteristic
1177#121—431no—
1178#121—431no—
1179#121—431no—
1180#121—431no—
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×C22⋊C4—861no—
1259C2×C22⋊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#107C22×D4311yescharacteristic
1274#107C22×D4311yescharacteristic
1275#106—431no—
1276#106—431no—
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×Q8—861no—
1353C2×Q8—861no—
1354C2×Q8—3442no—
1355C2×Q8C23×D4311yescharacteristic
1356C2×Q8C23×D4311yescharacteristic
1357C2×Q8C23×D4311yescharacteristic
1358C2×D4—21no—
1359C2×D4—431no—
1360C2×D4—431no—
1361C2×D4—431no—
1362C2×D4—431no—
1363C2×D4—431no—
1364C2×D4—431no—
1365C2×D4—862no—
1366C2×D4—861no—
1367C2×D4—861no—
1368C2×D4—861no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—862no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—861no—
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—
1408Q16—1721no—
1409SD16—22no—
1410SD16—41no—
1411SD16—862no—
1412SD16—862no—
1413SD16—862no—
1414SD16—862no—
1415SD16—862no—
1416SD16—1721no—
1417D8—434no—
1418D8—862no—
1419D8—862no—
1420D8—1721no—
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⋊C4C23×D4311yescharacteristic
1482C4⋊C4C23×D4311yescharacteristic
1483C4⋊C4C23×D4311yescharacteristic
1484C4⋊C4C23×D4311yescharacteristic
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—431no—
1493C22⋊C4—431no—
1494C22⋊C4—431no—
1495C22⋊C4—431no—
1496C22⋊C4—431no—
1497C22⋊C4—431no—
1498C22⋊C4—431no—
1499C22⋊C4—431no—
1500C22⋊C4—431no—
1501C22⋊C4—431no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
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—42no—
1565Q8—861no—
1566Q8—861no—
1567Q8—3441no—
1568Q8—3441no—
1569Q8—3441no—
1570Q8—1721no—
1571D4—21no—
1572D4—21no—
1573D4—81no—
1574D4—432no—
1575D4—432no—
1576D4—861no—
1577D4—861no—
1578D4—861no—
1579D4—861no—
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#61510
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. #19148657C2semidirect
2. #19148639C2semidirect
3. #19147671C2semidirect
4. #19147491C2semidirect
5. #19147417C2semidirect
6. #19147310C2semidirect
7. #19147205C2semidirect
8. #19147075C2semidirect
9. #19147034C2semidirect
10. #19146906C2semidirect
11. #19146802C2semidirect
12. #19146690C2semidirect
13. #19146671C2semidirect
14. #19146626C2semidirect
15. #19146555C2semidirect
16. #19146203C2semidirect
17. #19146127C2semidirect
18. #19146119C2semidirect
19. #19145267C2semidirect
20. #19145208C2semidirect
21. #19144878C2semidirect
22. #19144863C2semidirect
23. #19144815C2semidirect
24. #19144785C2semidirect
25. #19144751C2semidirect
26. #19144729C2semidirect
27. #19143580C2semidirect
28. #19143470C2semidirect
29. #19143422C2semidirect
30. C4×#13063353C2semidirect
31. C43×#3172C2semidirect
35. #14583623C22semidirect
37. #14583618C22semidirect
39. #14583607C22semidirect
40. #14583605C22semidirect
45. #14583587C22semidirect
50. #14583564C22semidirect
56. #14583542C22semidirect
58. #14583540C22semidirect
60. #14583521C22semidirect
61. #14583514C22semidirect
62. #14583507C22semidirect
73. #14583381C22semidirect
74. #14583381C22semidirect
75. #14583371C22semidirect
77. C2×C4×D172C22semidirect
78. #14583307C22semidirect
79. #14583296C22semidirect
80. #14583292C22semidirect
82. #14583260C22semidirect
83. #14583257C22semidirect
84. #14583255C22semidirect
85. #14583248C22semidirect
86. #14583239C22semidirect
87. #14583237C22semidirect
88. #14583237C22semidirect
89. #14583236C22semidirect
90. #14583233C22semidirect
91. #14583231C22semidirect
92. #14583228C22semidirect
93. #14583227C22semidirect
95. #14583216C22semidirect
96. #14583214C22semidirect
98. #14583204C22semidirect
99. #14583202C22semidirect
100. #14583196C22semidirect
101. #14583196C22semidirect
102. #14583192C22semidirect
103. #14583191C22semidirect
104. #14583188C22semidirect
105. #14583188C22semidirect
106. #14583186C22semidirect
107. #14583182C22semidirect
108. #14583178C22semidirect
109. #14583177C22semidirect
110. #14583156C22semidirect
111. #14583154C22semidirect
114. #14583139C22semidirect
116. #14583129C22semidirect
117. #14583125C22semidirect
118. #14583123C22semidirect
119. #14583119C22semidirect
126. #14583107C22semidirect
127. #14583106C22semidirect
128. #14583103C22semidirect
129. #14583101C22semidirect
131. #14583064C22semidirect
133. #14583060C22semidirect
136. #14583049C22semidirect
137. #14583048C22semidirect
142. #14583027C22semidirect
143. #14583027C22semidirect
149. #14583004C22semidirect
150. #14583004C22semidirect
151. #14583002C22semidirect
152. #14583002C22semidirect
153. #14583001C22semidirect
154. #14583001C22semidirect
155. #14583000C22semidirect
156. #14582997C22semidirect
157. #14582997C22semidirect
158. #14582997C22semidirect
159. #14582997C22semidirect
160. Q16×Dic43C22semidirect
161. C4×#10621873C22semidirect
162. C4×#10621873C22semidirect
163. #14582984C22semidirect
169. #14582975C22semidirect
170. #14582972C22semidirect
171. #14582972C22semidirect
173. #14582968C22semidirect
174. #14582958C22semidirect
175. #14582958C22semidirect
176. #14582956C22semidirect
177. #14582941C22semidirect
178. #14582938C22semidirect
179. #107×D43C22semidirect
180. #14582905C22semidirect
182. #14582899C22semidirect
183. #14582899C22semidirect
185. #102×D43C22semidirect
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
941. #491C2×D43semidirect
944. #489C2×D43semidirect
973. #470C2×D43semidirect
974. #470C2×D43semidirect
1026. C4×Q16C2×D43semidirect
1027. C4×Q16C2×D43semidirect
1031. C4×SD16C2×D43semidirect
1032. C4×SD16C2×D43semidirect
1057. C4×M16C2×D43semidirect
1058. C43#61510semidirect

Maximal subgroups

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

subgroupindex
#191486572
#191486392
#191476712
#191474912
#191474172
#191473102
#191472052
#191470752
#191470342
#191469062
#191468022
#191466902
#191466712
#191466262
#191465552
#191462032
#191461272
#191461192
#191452672
#191452082
#191448782
#191448632
#191448152
#191447852
#191447512
#191447292
#191435802
#191434702
#191434222
C4×#130633532
C43×#31722
#6151043