Finite Group Databasebeta

← #25979478

Subgroups — #25979478

Order 11008.

1890 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#19148594C211yesmaximal, characteristic, complemented
2#19148552C211yesmaximal, characteristic, complemented
3#19147638C211yesmaximal, characteristic, complemented
4#19147513C211yesmaximal, characteristic, complemented
5#19147294C211yesmaximal, characteristic, complemented
6#19147229C211yesmaximal, characteristic, complemented
7#19147175C211yesmaximal, characteristic, complemented
8#19147091C211yesmaximal, characteristic, complemented
9#19146543C211yesmaximal, characteristic, complemented
10#19146539C211yesmaximal, characteristic, complemented
11#19146532C211yesmaximal, characteristic, complemented
12#19146448C211yesmaximal, characteristic, complemented
13#19146439C211yesmaximal, characteristic, complemented
14#19146406C211yesmaximal, characteristic, complemented
15#19146212C211yesmaximal, characteristic, complemented
16#19146140C211yesmaximal, characteristic, complemented
17#19146132C211yesmaximal, characteristic, complemented
18#19145283C211yesmaximal, characteristic, complemented
19#19145279C211yesmaximal, characteristic, complemented
20#19145169C211yesmaximal, characteristic, complemented
21#19144862C211yesmaximal, characteristic, complemented
22#19144852C211yesmaximal, characteristic, complemented
23#19144840C211yesmaximal, characteristic, complemented
24#19144834C211yesmaximal, characteristic, complemented
25#19144741C211yesmaximal, characteristic, complemented
26#19144741C211yesmaximal, characteristic, complemented
27#19143565C211yesmaximal, characteristic, complemented
28#19143425C211yesmaximal, characteristic, complemented
29#19143424C211yesmaximal, characteristic, complemented
30#19143366C211yesmaximal, characteristic, complemented
31C43×#3347C211yesmaximal, characteristic, complemented
32C2×#13063353C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C2×#13063347C2211yescharacteristic
35#14583632C2211yescharacteristic
36#14583626C2211yescharacteristic, complemented
37#14583617C2211yescharacteristic
38#14583612C2211yescharacteristic
39#14583600—21no—
40#14583598—21no—
41#14583593C2211yescharacteristic, complemented
42#14583579—21no—
43#14583573—21no—
44#14583570C2211yescharacteristic, complemented
45#14583570C2211yescharacteristic, complemented
46#14583567—21no—
47#14583567C2211yescharacteristic
48#14583567C2211yescharacteristic, complemented
49#14583564C2211yescharacteristic
50#14583557—21no—
51#14583550C2211yescharacteristic
52#14583547—21no—
53#14583546C2211yescharacteristic
54#14583545C2211yescharacteristic
55#14583538—21no—
56#14583533C2211yescharacteristic
57#14583523C2211yescharacteristic
58#14583516C2211yescharacteristic
59#14583505C2211yescharacteristic, complemented
60#14583502C2211yescharacteristic, complemented
61#14583501—21no—
62#14583499—21no—
63#14583483—21no—
64#14583481—21no—
65#14583446—21no—
66#14583444C2211yescharacteristic
67#14583444C2211yescharacteristic, complemented
68#14583432—21no—
69#14583429C2211yescharacteristic
70#14583427—21no—
71#124×D43—21no—
72#14583380C2211yescharacteristic, complemented
73#14583378C2211yescharacteristic, complemented
74#14583373C2211yescharacteristic
75#14583371C2211yescharacteristic
76#14583367C2211yescharacteristic
77#14583367C2211yescharacteristic, complemented
78#14583306C2211yescharacteristic, complemented
79#14583303C2211yescharacteristic, complemented
80#14583288C2211yescharacteristic, complemented
81#14583287C2211yescharacteristic, complemented
82#14583274C2211yescharacteristic
83#14583256C2211yescharacteristic, complemented
84#14583252C2211yescharacteristic, complemented
85#14583247C2211yescharacteristic, complemented
86#14583244C2211yescharacteristic
87#14583244C2211yescharacteristic, complemented
88#14583244C2211yescharacteristic, complemented
89#14583236C2211yescharacteristic, complemented
90#14583234C2211yescharacteristic, complemented
91#14583226C2211yescharacteristic, complemented
92#14583225C2211yescharacteristic, complemented
93#14583223C2211yescharacteristic, complemented
94#14583223C2211yescharacteristic, complemented
95#14583223C2211yescharacteristic, complemented
96#14583214C2211yescharacteristic
97#14583202C2211yescharacteristic, complemented
98#14583198C2211yescharacteristic
99#14583196C2211yescharacteristic
100#14583193C2211yescharacteristic, complemented
101#14583191C2211yescharacteristic, complemented
102#14583183C2211yescharacteristic, complemented
103#14583183C2211yescharacteristic, complemented
104#14583178C2211yescharacteristic
105#14583178C2211yescharacteristic, complemented
106#14583178C2211yescharacteristic, complemented
107#14583153C2211yescharacteristic
108#14583146C2211yescharacteristic, complemented
109#14583145C2211yescharacteristic, complemented
110#14583136C2211yescharacteristic
111#14583135C2211yescharacteristic, complemented
112#14583133C2211yescharacteristic
113#14583133C2211yescharacteristic, complemented
114#14583133C2211yescharacteristic, complemented
115#14583129C2211yescharacteristic, complemented
116#14583126C2211yescharacteristic, complemented
117#14583122C2211yescharacteristic, complemented
118#14583120C2211yescharacteristic, complemented
119#14583114C2211yescharacteristic, complemented
120#14583113C2211yescharacteristic, complemented
121#14583098C2211yescharacteristic
122#14583098C2211yescharacteristic, complemented
123#14583095C2211yescharacteristic
124#14583094C2211yescharacteristic, complemented
125#14583093C2211yescharacteristic
126#14583093C2211yescharacteristic
127#14583093C2211yescharacteristic
128#14583093C2211yescharacteristic, complemented
129#14583063C2211yescharacteristic, complemented
130#14583062C2211yescharacteristic, complemented
131#14583046C2211yescharacteristic
132#14583046C2211yescharacteristic, complemented
133#14583045C2211yescharacteristic
134#14583042C2211yescharacteristic
135#14583042C2211yescharacteristic
136#14583042C2211yescharacteristic, complemented
137#14583035C2211yescharacteristic
138#14583034C2211yescharacteristic
139#14583034C2211yescharacteristic
140#14583032C2211yescharacteristic
141#14583027C2211yescharacteristic, complemented
142#14583023C2211yescharacteristic, complemented
143#14583010C2211yescharacteristic
144#14583010C2211yescharacteristic, complemented
145#14583010C2211yescharacteristic, complemented
146#14583008C2211yescharacteristic
147#14583008C2211yescharacteristic, complemented
148#14583001C2211yescharacteristic
149#14582998C2211yescharacteristic
150#14582998C2211yescharacteristic, complemented
151#14582998C2211yescharacteristic, complemented
152#14582996C2211yescharacteristic, complemented
153#14582996C2211yescharacteristic, complemented
154#14582993C2211yescharacteristic, complemented
155#14582993C2211yescharacteristic, complemented
156#14582986C2211yescharacteristic
157#14582986C2211yescharacteristic
158#14582986C2211yescharacteristic, complemented
159#14582986C2211yescharacteristic, complemented
160#14582986C2211yescharacteristic, complemented
161C4×#10621883C2211yescharacteristic, complemented
162D8×Dic43C2211yescharacteristic, complemented
163#14582981C2211yescharacteristic
164#14582981C2211yescharacteristic
165#14582981C2211yescharacteristic
166#14582981C2211yescharacteristic, complemented
167C4×#10621882C2211yescharacteristic
168#14582979C2211yescharacteristic, complemented
169#14582979C2211yescharacteristic, complemented
170#14582975C2211yescharacteristic
171#14582970C2211yescharacteristic, complemented
172D4×C43⋊C8C2211yescharacteristic, complemented
173(C22⋊D43)⋊C8C2211yescharacteristic
174(C22⋊D43)⋊C8C2211yescharacteristic, complemented
175#14582959C2211yescharacteristic, complemented
176#14582957C2211yescharacteristic, complemented
177#14582953C2211yescharacteristic, complemented
178#14582938C2211yescharacteristic, complemented
179#14582893C2211yescharacteristic
180#14582893C2211yescharacteristic, complemented
181#14582893C2211yescharacteristic, complemented
182#14582892C2211yescharacteristic, complemented
183C2×#13063245C2211yescharacteristic
184#102×D43C2211yescharacteristic
185#14582857C2211yescharacteristic, complemented
186#14582856C2211yescharacteristic, complemented
187C2×C8×Dic43C2211yescharacteristic, complemented
188C43×#555C2211yescharacteristic
189C43×#553C2211yescharacteristic, complemented
190C43×#501C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic, complemented
192C43×#482C2211yescharacteristic, complemented
193C43×#482C2211yescharacteristic, complemented
194C43×#480C2211yescharacteristic
195C43×#478C2211yescharacteristic, complemented
196C43×#474C2211yescharacteristic, complemented
197C43×#469C2211yescharacteristic
198C43×#466C2211yescharacteristic, complemented
199C43×#442C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic, complemented
201C43×#428C2211yescharacteristic, complemented
202C43×#427C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621898—21no—
205C2×#10621898C2311yescharacteristic
206C2×#10621898C2311yescharacteristic
207C2×#10621898C2311yescharacteristic
208C2×#10621900—21no—
209C2×#10621900—21no—
210C2×#10621900C2311yescharacteristic
211C2×Q8×D43—21no—
212C22×D172C2311yescharacteristic
213C2×D4×D43—21no—
214C2×D4×D43C2311yescharacteristic
215#13063353—24no—
216#13063349—24no—
217#13063347—24no—
218C2×Dic172C2311yescharacteristic
219C2×#10621873C2311yescharacteristic
220C2×#10621873C2311yescharacteristic
221C2×#10621873C2311yescharacteristic
222C2×#10621873C2311yescharacteristic
223C2×#10621883C2311yescharacteristic
224C2×#10621883C2311yescharacteristic
225C2×D344C2311yescharacteristic
226C2×D344C2311yescharacteristic
227C2×D344C2311yescharacteristic
228C2×D344C2311yescharacteristic
229C2×#10621882C2311yescharacteristic
230C2×#10621882C2311yescharacteristic
231C2×#10621882C2311yescharacteristic
232C2×#10621882C2311yescharacteristic
233C2×#10621872C2311yescharacteristic
234C22×C43⋊C8C2311yescharacteristic
235C22×C43⋊C8C2311yescharacteristic
236C2×C8×D43C2311yescharacteristic
237#13063324—21no—
238#13063324C2311yescharacteristic
239#13063324C2311yescharacteristic
240#13063324C2311yescharacteristic
241#13063322C2311yescharacteristic
242#13063321—21no—
243#13063321—21no—
244#13063321—21no—
245#13063321C2311yescharacteristic
246#13063321C2311yescharacteristic
247#13063321C2311yescharacteristic
248#13063320—21no—
249#13063320D411yescharacteristic
250#13063319—21no—
251#13063319—21no—
252#13063318—21no—
253#13063318—21no—
254#13063318D411yescharacteristic
255#13063316C2311yescharacteristic
256#13063315—21no—
257#13063315—21no—
258#13063315D411yescharacteristic
259#13063314—21no—
260#13063313—21no—
261#13063313C2311yescharacteristic
262#13063312—21no—
263#13063312C2311yescharacteristic
264#13063311—21no—
265#13063311—21no—
266#13063311—21no—
267#13063311—21no—
268#13063311—21no—
269#13063311D411yescharacteristic
270#13063310—21no—
271#13063310—21no—
272#13063310—21no—
273#13063310—21no—
274#13063310—21no—
275#13063309—21no—
276#13063309D411yescharacteristic
277#13063308—21no—
278#13063308—21no—
279#13063307—21no—
280#13063307—21no—
281#13063307—21no—
282#13063307—21no—
283#13063306—21no—
284#13063306D411yescharacteristic
285#13063305C2311yescharacteristic
286#13063304C2311yescharacteristic
287#13063303—21no—
288#13063303—21no—
289#13063303—21no—
290#13063302—21no—
291#13063302D411yescharacteristic
292#13063301—21no—
293#13063301—21no—
294#13063300—21no—
295#13063300—21no—
296#13063300C2311yescharacteristic
297#13063300C2311yescharacteristic
298#13063300C2311yescharacteristic
299#13063299—21no—
300#13063299C2311yescharacteristic
301#13063299C2311yescharacteristic
302#13063299C2311yescharacteristic
303#13063298—21no—
304#13063298—21no—
305#13063298—21no—
306#13063298—21no—
307#13063298—21no—
308#13063298—21no—
309#13063298—21no—
310#13063298—21no—
311#13063298—21no—
312#13063298—21no—
313#13063297—21no—
314#13063297—21no—
315#13063297—21no—
316#13063297—21no—
317#13063297—21no—
318#13063297D411yescharacteristic
319#13063296—21no—
320#13063296—21no—
321#13063295—21no—
322#13063293—21no—
323#13063293—21no—
324#13063293—21no—
325C4×Dic86—21no—
326C4×Dic86C2311yescharacteristic
327C4×Dic86C2311yescharacteristic
328#13063290—21no—
329#13063290C2311yescharacteristic
330#13063290C2311yescharacteristic
331#13063290C2311yescharacteristic
332#13063290C2311yescharacteristic
333#13063290C2311yescharacteristic
334C4×D172—21no—
335C4×D172—21no—
336C4×D172—21no—
337C4×D172C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340#13063287—21no—
341#13063287C2311yescharacteristic
342#13063287C2311yescharacteristic
343#13063287C2311yescharacteristic
344#13063287C2311yescharacteristic
345#13063287C2311yescharacteristic
346#13063287C2311yescharacteristic
347#13063287C2311yescharacteristic
348#13063287C2311yescharacteristic
349#13063287C2311yescharacteristic
350C4×C22⋊D43—21no—
351C4×C22⋊D43—21no—
352C4×C22⋊D43—21no—
353C4×C22⋊D43—21no—
354C4×C22⋊D43—21no—
355C4×C22⋊D43C2311yescharacteristic
356C4×C22⋊D43C2311yescharacteristic
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4—21no—
364(C22⋊D43)⋊C4—21no—
365(C22⋊D43)⋊C4—21no—
366(C22⋊D43)⋊C4—21no—
367#13063284C2311yescharacteristic
368#13063283—21no—
369#13063283C2311yescharacteristic
370#13063282—21no—
371#13063282—21no—
372#13063282—21no—
373#13063282C2311yescharacteristic
374#13063281—21no—
375C2×Dic43⋊C4—21no—
376C4⋊C4×D43—21no—
377C4⋊C4×D43C2311yescharacteristic
378C2×(C2×D43)⋊C4—21no—
379C22⋊C4×D43—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C2×C4×Dic43C2311yescharacteristic
385C42×D43—21no—
386C42×D43—21no—
387#13063259C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394C4⋊(C43⋊C8)C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063248C2311yescharacteristic
402#13063248C2311yescharacteristic
403#13063248C2311yescharacteristic
404#13063248C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063246C2311yescharacteristic
412#13063246C2311yescharacteristic
413#13063245C2311yescharacteristic
414#13063245C2311yescharacteristic
415#13063245C2311yescharacteristic
416#13063245C2311yescharacteristic
417#13063245C2311yescharacteristic
418#13063245C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425C22⋊(C43⋊C8)C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×D8×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C22×C8×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442#126×C43—21no—
443#125×C43C2311yescharacteristic
444#124×C43—21no—
445#124×C43—21no—
446#123×C43—21no—
447#121×C43—21no—
448#121×C43—21no—
449#121×C43C2311yescharacteristic
450#121×C43C2311yescharacteristic
451#121×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453C4×D4×C43—21no—
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460#117×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483C2×Q8×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43C2×D411yescharacteristic
489C2×D4×C43C2411yescharacteristic
490C2×D4×C43C2411yescharacteristic
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C22×C4×C43C2411yescharacteristic
495C22×C4×C43C2411yescharacteristic
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊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—
514C22×Dic43—21no—
515C22×Dic43C2×D411yescharacteristic
516C22×Dic43C2×D411yescharacteristic
517Q8×D43—82no—
518#10621900—22no—
519#10621900—41no—
520#10621900—82no—
521#10621900—82no—
522D4×D43—22no—
523D4×D43—41no—
524D4×D43—82no—
525#10621898—22no—
526#10621898—22no—
527#10621898—22no—
528#10621898—41no—
529#10621898—41no—
530#10621898—41no—
531#10621898—82no—
532#10621898—82no—
533C2×D172—21no—
534C2×D172—21no—
535C2×D172—21no—
536C2×D172—21no—
537C2×D172—21no—
538C2×D172—21no—
539C2×D172—22no—
540C2×D172—41no—
541C2×D172C2411yescharacteristic
542C2×D172C2411yescharacteristic
543C2×D172C2411yescharacteristic
544C2×D172C2411yescharacteristic
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×D43C2411yescharacteristic
560C2×Dic86—21no—
561C2×Dic86—21no—
562C2×Dic86—21no—
563C2×Dic86C2×D411yescharacteristic
564C2×Dic86C2411yescharacteristic
565C2×Dic86C2411yescharacteristic
566D8×C43—22no—
567M16×C43—22no—
568C2×C8×C43—22no—
569C2×C8×C43C2411yescharacteristic
570C2×C8×C43C2411yescharacteristic
571C2×C8×C43C2411yescharacteristic
572C2×C8×C43C2411yescharacteristic
573C4⋊C4×C43—21no—
574C4⋊C4×C43—21no—
575C4⋊C4×C43—21no—
576C4⋊C4×C43—21no—
577C4⋊C4×C43C2×D411yescharacteristic
578C4⋊C4×C43C2411yescharacteristic
579C4⋊C4×C43C2411yescharacteristic
580C4⋊C4×C43C2411yescharacteristic
581C4⋊C4×C43C2411yescharacteristic
582C4⋊C4×C43C2411yescharacteristic
583C4⋊C4×C43C2411yescharacteristic
584C22⋊C4×C43—21no—
585C22⋊C4×C43—21no—
586C22⋊C4×C43—21no—
587C22⋊C4×C43—21no—
588C22⋊C4×C43—21no—
589C22⋊C4×C43—21no—
590C22⋊C4×C43—21no—
591C22⋊C4×C43—21no—
592C22⋊C4×C43—21no—
593C22⋊C4×C43C2×D411yescharacteristic
594C22⋊C4×C43C2×D411yescharacteristic
595C42×C43—21no—
596C42×C43—21no—
597C42×C43—21no—
598C42×C43C2411yescharacteristic
599C22⋊Dic43—21no—
600C22⋊Dic43—21no—
601C22⋊Dic43—21no—
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43C2×D411yescharacteristic
605C22⋊Dic43C2×D411yescharacteristic
606C22⋊Dic43C2×D411yescharacteristic
607C22⋊Dic43C2×D411yescharacteristic
608#10621883—22no—
609#10621883—41no—
610#10621882—22no—
611#10621882—41no—
612#10621882—41no—
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
638C4⋊Dic43—21no—
639C4⋊Dic43—21no—
640C4⋊Dic43C2×D411yescharacteristic
641C4⋊Dic43C2×D411yescharacteristic
642C4⋊Dic43C2×D411yescharacteristic
643C4⋊Dic43C2411yescharacteristic
644C4⋊Dic43C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43C2×D411yescharacteristic
671C4×Dic43C2×D411yescharacteristic
672C4×Dic43C2411yescharacteristic
673C4×Dic43C2411yescharacteristic
674C4×Dic43C2411yescharacteristic
675C2×C43⋊C8—41no—
676C2×C43⋊C8—41no—
677C2×C43⋊C8C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681Dic172—22no—
682D344—22no—
683D344—22no—
684D344—22no—
685D344—41no—
686#10621873—22no—
687#10621873—22no—
688#10621873—41no—
689#10621873#4114yescomplemented
690#10621872—22no—
691C8×D43—41no—
692C23×C43—21no—
693C23×C43—21no—
694C23×C43C22×D411yescharacteristic
695C23×C43C22×D411yescharacteristic
696C22×D43—21no—
697C22×D43—21no—
698C22×D43—21no—
699C22×D43—21no—
700C22×D43—42no—
701C22×D43—42no—
702C22×D43—81no—
703C22×D43—81no—
704C22×D43—81no—
705C22×D43—81no—
706C22×D43C22×D411yescharacteristic
707Q8×C43—81no—
708D4×C43—21no—
709D4×C43—21no—
710D4×C43—21no—
711D4×C43—21no—
712D4×C43—41no—
713D4×C43—81no—
714D4×C43—81no—
715D4×C43—81no—
716D4×C43—81no—
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—21no—
726C2×C4×C43—21no—
727C2×C4×C43—81no—
728C2×C4×C43—81no—
729C2×C4×C43—81no—
730C2×C4×C43C22×D411yescharacteristic
731C2×C4×C43C22×D411yescharacteristic
732C2×C4×C43C22×D411yescharacteristic
733C2×C4×C43C22×D411yescharacteristic
734C2×C4×C43C2511yescharacteristic
735C22⋊D43—22no—
736C22⋊D43—41no—
737C22⋊D43—42no—
738C22⋊D43—42no—
739C22⋊D43—42no—
740C22⋊D43—42no—
741C22⋊D43—42no—
742C22⋊D43—42no—
743C22⋊D43—42no—
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—22no—
753C2×Dic43—21no—
754C2×Dic43—21no—
755C2×Dic43—21no—
756C2×Dic43—41no—
757C2×Dic43—42no—
758C2×Dic43—81no—
759C2×Dic43—81no—
760C2×Dic43C22×D411yescharacteristic
761C2×Dic43C22×D411yescharacteristic
762C2×Dic43C22×D411yescharacteristic
763C2×Dic43C22×D411yescharacteristic
764C2×Dic43C22×D411yescharacteristic
765C2×Dic43C22×D411yescharacteristic
766C2×Dic43C22×D411yescharacteristic
767D172—21no—
768D172—21no—
769D172—21no—
770D172—21no—
771D172—21no—
772D172—21no—
773D172—21no—
774D172—42no—
775D172—81no—
776D172—81no—
777D172—81no—
778D172—81no—
779D172—81no—
780D172C2×#4112yes—
781C4×D43—21no—
782C4×D43—21no—
783C4×D43—42no—
784C4×D43—42no—
785C4×D43—42no—
786C4×D43—42no—
787C4×D43—42no—
788C4×D43—81no—
789C4×D43—81no—
790C4×D43—81no—
791C4×D43—81no—
792C4×D43—81no—
793C4×D43—81no—
794C4×D43—81no—
795C4×D43—81no—
796C4×D43—81no—
797Dic86—21no—
798Dic86—22no—
799Dic86—21no—
800Dic86—21no—
801Dic86—42no—
802Dic86—42no—
803Dic86—81no—
804Dic86C2×#4112yes—
805C8×C43—21no—
806C8×C43—21no—
807C8×C43—21no—
808C8×C43C2×#4112yes—
809C43⋊C8—21no—
810C43⋊C8—21no—
811C43⋊C8—21no—
812C43⋊C8—21no—
813#61494—431nomaximal, Sylow
814C22×C43—21no—
815C22×C43—21no—
816C22×C43—21no—
817C22×C43—21no—
818C22×C43—21no—
819C22×C43—21no—
820C22×C43—41no—
821C22×C43—41no—
822C22×C43—41no—
823C22×C43—41no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43C23×D411yescharacteristic
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—162no—
843C2×D43—162no—
844C4×C43—21no—
845C4×C43—21no—
846C4×C43—21no—
847C4×C43—21no—
848C4×C43—41no—
849C4×C43—41no—
850C4×C43—41no—
851C4×C43—41no—
852C4×C43—41no—
853C4×C43—41no—
854C4×C43C22×#4111yescharacteristic
855C4×C43#58511yescharacteristic
856Dic43—21no—
857Dic43—21no—
858Dic43—21no—
859Dic43—22no—
860Dic43—21no—
861Dic43—21no—
862Dic43—21no—
863Dic43—41no—
864Dic43—41no—
865Dic43—41no—
866Dic43#57612yes—
867#3517—431no—
868#3514—431no—
869#3399—431no—
870#3386—431no—
871#3365—431no—
872#3358—431no—
873#3353—431no—
874#3347—431no—
875#3347D4311yescharacteristic, complemented
876#3305—431no—
877#3305—431no—
878#3304—431no—
879#3297—431no—
880#3297—431no—
881#3294—431no—
882#3274—431no—
883#3268—431no—
884#3268—431no—
885#3179—431no—
886#3179—431no—
887#3169—431no—
888#3124—431no—
889#3124—431no—
890#3122—431no—
891#3122—431no—
892#3115—431no—
893#3115—431no—
894#2966—431no—
895#2946—431no—
896#2946—431no—
897C4×#135—431no—
898C2×C43—41no—
899C2×C43—41no—
900C2×C43—81no—
901C2×C43—81no—
902C2×C43D4×#4111yescharacteristic
903C2×C43C2×#57611yescharacteristic
904C2×C43#358411yescharacteristic
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#556—431no—
916#555—431no—
917#555C2×D4311yescharacteristic
918#553—431no—
919#553—861no—
920#553—861no—
921#553C2×D4311yescharacteristic, complemented
922#551—861no—
923#551—861no—
924#550—431no—
925#550—431no—
926#550—431no—
927#550—431no—
928#550—861no—
929D4×Q8—431no—
930#548—861no—
931#547—431no—
932#547—861no—
933#546—431no—
934#546—431no—
935#546—861no—
936D42—431no—
937#542—431no—
938#542—431no—
939#540—431no—
940#540—431no—
941#540—861no—
942#540—861no—
943#538—861no—
944#538—861no—
945#532—431no—
946#532—431no—
947#532—861no—
948#529—431no—
949#529—861no—
950#529—861no—
951C2×#124—861no—
952#520—431no—
953#520—431no—
954#518—431no—
955#518—431no—
956C4×#41—431no—
957C4×#41—431no—
958#501—431no—
959#501C2×D4311yescharacteristic, complemented
960#500—431no—
961#496—431no—
962#496—431no—
963#493—431no—
964#488—431no—
965#488—431no—
966#486—431no—
967#486—431no—
968#486—431no—
969#486—431no—
970#484—431no—
971#484—431no—
972#482—431no—
973#482—431no—
974#482—431no—
975#482—431no—
976#482—431no—
977#482C2×D4311yescharacteristic, complemented
978#482C2×D4311yescharacteristic, complemented
979#482C2×D4311yescharacteristic, complemented
980#480—431no—
981#480C2×D4311yescharacteristic
982#478—431no—
983#478—431no—
984#478—431no—
985#478C2×D4311yescharacteristic, complemented
986#477—431no—
987#477—431no—
988#475—431no—
989#475—431no—
990#474—431no—
991#474—431no—
992#474—431no—
993#474C2×D4311yescharacteristic, complemented
994#469—431no—
995#469C2×D4311yescharacteristic
996#468—431no—
997#468—431no—
998#466—431no—
999#466—431no—
1000#466—431no—
1001#466—431no—
1002#466—431no—
1003#466C2×D4311yescharacteristic, complemented
1004#465—431no—
1005#465—431no—
1006#464—431no—
1007#464—431no—
1008#463—431no—
1009#463—431no—
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#452—431no—
1020#449—431no—
1021#449—431no—
1022#449—431no—
1023#449—431no—
1024#449—431no—
1025#449—431no—
1026#447—431no—
1027#447—431no—
1028#447—431no—
1029#447—431no—
1030#446—431no—
1031C8×Q8—431no—
1032#442—431no—
1033#442—431no—
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442C2×D4311yescharacteristic, complemented
1038#440—431no—
1039#440—431no—
1040#440—431no—
1041#440—431no—
1042#440—431no—
1043#440—431no—
1044C4×Q16—431no—
1045C4×Q16—431no—
1046C4×SD16—431no—
1047C4×SD16—431no—
1048C4×SD16—431no—
1049C4×SD16—431no—
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×D8—431no—
1053C4×D8—431no—
1054C4×D8—431no—
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8—431no—
1060#436—431no—
1061#435—431no—
1062#435C2×D4311yescharacteristic, complemented
1063C8×D4—431no—
1064C8×D4—431no—
1065C8×D4—431no—
1066#433—431no—
1067#433—431no—
1068#432—431no—
1069#428—431no—
1070#428C2×D4311yescharacteristic, complemented
1071#427C2×D4311yescharacteristic, complemented
1072#416—431no—
1073#416—431no—
1074#416—431no—
1075#416—431no—
1076C2×#102—431no—
1077C2×#102—431no—
1078#405—431no—
1079#405—431no—
1080C2×C4×C8—431no—
1081C43#6149411yescharacteristic, complemented, Sylow
1082C2×#41—431no—
1083C2×#41—431no—
1084C2×#41—431no—
1085C2×#41—431no—
1086C2×#41—861no—
1087C2×#41—861no—
1088C2×#41—861no—
1089C2×#41—861no—
1090C22×Q8—861no—
1091C22×D4—431no—
1092C22×D4—431no—
1093C22×D4—861no—
1094AGL(1,ℤ/8)—864no—
1095AGL(1,ℤ/8)—864no—
1096#135—864no—
1097C2×Q16—431no—
1098C2×SD16—431no—
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16—431no—
1103C2×SD16—431no—
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×M16C22×D4311yescharacteristic
1115C22×C8—431no—
1116C22×C8—431no—
1117C22×C8—431no—
1118C22×C8C22×D4311yescharacteristic
1119C4⋊Q8—431no—
1120C4⋊Q8—431no—
1121C4⋊Q8—431no—
1122C4⋊Q8—861no—
1123C4⋊Q8C22×D4311yescharacteristic
1124#127—431no—
1125#127—431no—
1126#127—431no—
1127#127—431no—
1128#127—861no—
1129#127—861no—
1130#127—861no—
1131#126—21no—
1132#126—431no—
1133#126—431no—
1134#126—861no—
1135#126—861no—
1136#126—861no—
1137#126—861no—
1138#126—861no—
1139#125—431no—
1140#125—431no—
1141#125—861no—
1142#125—861no—
1143#125C22×D4311yescharacteristic
1144#124—21no—
1145#124—21no—
1146#124—431no—
1147#124—431no—
1148#124—431no—
1149#124—861no—
1150#124—861no—
1151#124—861no—
1152#124—861no—
1153#124—861no—
1154#124—861no—
1155#124—861no—
1156#124—861no—
1157#123—21no—
1158#123—431no—
1159#123—431no—
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—431no—
1176C22⋊Q8—861no—
1177C22⋊Q8—861no—
1178C22⋊Q8—861no—
1179C22⋊Q8—861no—
1180C22⋊Q8—861no—
1181C22⋊Q8—861no—
1182#121—21no—
1183#121—21no—
1184#121—431no—
1185#121—431no—
1186#121—431no—
1187#121—431no—
1188#121—431no—
1189#121—431no—
1190#121—431no—
1191#121—861no—
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#121C22×D4311yescharacteristic
1212#121C22×D4311yescharacteristic
1213#121C22×D4311yescharacteristic
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—431no—
1224C4×Q8—431no—
1225C4×Q8—431no—
1226C4×Q8—861no—
1227C4×Q8—861no—
1228C4×D4—21no—
1229C4×D4—431no—
1230C4×D4—431no—
1231C4×D4—431no—
1232C4×D4—431no—
1233C4×D4—431no—
1234C4×D4—431no—
1235C4×D4—431no—
1236C4×D4—431no—
1237C4×D4—431no—
1238C4×D4—431no—
1239C4×D4—431no—
1240C4×D4—431no—
1241C4×D4—431no—
1242C4×D4—431no—
1243C4×D4—861no—
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—431no—
1267#117—431no—
1268#117—431no—
1269#117—861no—
1270#117—861no—
1271#117—861no—
1272#117—861no—
1273#117—861no—
1274#117C22×D4311yescharacteristic
1275#117C22×D4311yescharacteristic
1276#117C22×D4311yescharacteristic
1277C2×C4⋊C4—431no—
1278C2×C4⋊C4—861no—
1279C2×C4⋊C4—861no—
1280C2×C4⋊C4C22×D4311yescharacteristic
1281C2×C22⋊C4—861no—
1282C2×C22⋊C4—861no—
1283C2×C22⋊C4—861no—
1284C2×C22⋊C4—861no—
1285C2×C22⋊C4—861no—
1286C2×C22⋊C4—861no—
1287C2×C42—431no—
1288C2×C42—861no—
1289C2×C42—861no—
1290#107—431no—
1291#107—431no—
1292#107—431no—
1293#107—431no—
1294#107—431no—
1295#107C22×D4311yescharacteristic
1296#107C22×D4311yescharacteristic
1297#107C22×D4311yescharacteristic
1298#107C22×D4311yescharacteristic
1299#107C22×D4311yescharacteristic
1300#106—431no—
1301#106—431no—
1302#106C22×D4311yescharacteristic
1303#106C22×D4311yescharacteristic
1304#106C22×D4311yescharacteristic
1305#106C22×D4311yescharacteristic
1306C4⋊C8—431no—
1307C4⋊C8—431no—
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8—431no—
1311C4⋊C8C22×D4311yescharacteristic
1312#103—431no—
1313#103—431no—
1314#103—431no—
1315#103—431no—
1316#103—431no—
1317#103—431no—
1318#103—431no—
1319#103—431no—
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#102C22×D4311yescharacteristic
1339#102C22×D4311yescharacteristic
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#97C22×D4311yescharacteristic
1354C4×C8—431no—
1355C4×C8—431no—
1356C4×C8—431no—
1357C4×C8—431no—
1358C4×C8—431no—
1359C4×C8—431no—
1360C24—861no—
1361C24—861no—
1362#41—862no—
1363#41—862no—
1364#41—862no—
1365#41—862no—
1366#41—3442no—
1367#41—3442no—
1368#41—3442no—
1369#41—3442no—
1370#41—1721no—
1371#41—1721no—
1372#41—1721no—
1373#41—1721no—
1374C2×Q8—21no—
1375C2×Q8—431no—
1376C2×Q8—431no—
1377C2×Q8—431no—
1378C2×Q8—861no—
1379C2×Q8—861no—
1380C2×Q8—861no—
1381C2×Q8—3442no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—431no—
1387C2×D4—431no—
1388C2×D4—431no—
1389C2×D4—431no—
1390C2×D4—431no—
1391C2×D4—431no—
1392C2×D4—862no—
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—861no—
1413C2×D4—861no—
1414C2×D4—3442no—
1415C2×D4—1721no—
1416C2×D4—1721no—
1417C2×D4D4×D4311yescharacteristic
1418C2×D4C23×D4311yescharacteristic
1419C2×D4C23×D4311yescharacteristic
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—431no—
1424C22×C4—431no—
1425C22×C4—431no—
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—861no—
1442C22×C4—861no—
1443C22×C4C23×D4311yescharacteristic
1444C22×C4C23×D4311yescharacteristic
1445Q16—862no—
1446SD16—434no—
1447SD16—862no—
1448SD16—862no—
1449SD16—862no—
1450SD16—1721no—
1451SD16—1721no—
1452D8—22no—
1453D8—862no—
1454D8—862no—
1455D8—862no—
1456D8—862no—
1457D8—1721no—
1458D8—1721no—
1459D8—1721no—
1460D8—1721no—
1461M16—22no—
1462M16—862no—
1463C2×C8—22no—
1464C2×C8—431no—
1465C2×C8—431no—
1466C2×C8—431no—
1467C2×C8—431no—
1468C2×C8—1721no—
1469C2×C8—1721no—
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—431no—
1480C4⋊C4—431no—
1481C4⋊C4—431no—
1482C4⋊C4—431no—
1483C4⋊C4—431no—
1484C4⋊C4—431no—
1485C4⋊C4—431no—
1486C4⋊C4—431no—
1487C4⋊C4—431no—
1488C4⋊C4—431no—
1489C4⋊C4—431no—
1490C4⋊C4—861no—
1491C4⋊C4—861no—
1492C4⋊C4—861no—
1493C4⋊C4—861no—
1494C4⋊C4—861no—
1495C4⋊C4—861no—
1496C4⋊C4—861no—
1497C4⋊C4—861no—
1498C4⋊C4—861no—
1499C4⋊C4—861no—
1500C4⋊C4—861no—
1501C4⋊C4—861no—
1502C4⋊C4—861no—
1503C4⋊C4—861no—
1504C4⋊C4D4×D4311yescharacteristic
1505C4⋊C4C23×D4311yescharacteristic
1506C4⋊C4C23×D4311yescharacteristic
1507C4⋊C4C23×D4311yescharacteristic
1508C4⋊C4C23×D4311yescharacteristic
1509C4⋊C4C23×D4311yescharacteristic
1510C4⋊C4C23×D4311yescharacteristic
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—431no—
1521C22⋊C4—431no—
1522C22⋊C4—431no—
1523C22⋊C4—431no—
1524C22⋊C4—431no—
1525C22⋊C4—431no—
1526C22⋊C4—431no—
1527C22⋊C4—431no—
1528C22⋊C4—861no—
1529C22⋊C4—861no—
1530C22⋊C4—861no—
1531C22⋊C4—861no—
1532C22⋊C4—861no—
1533C22⋊C4—861no—
1534C22⋊C4—861no—
1535C22⋊C4—861no—
1536C22⋊C4—861no—
1537C22⋊C4—861no—
1538C22⋊C4—861no—
1539C22⋊C4—861no—
1540C22⋊C4—861no—
1541C22⋊C4—861no—
1542C22⋊C4—861no—
1543C22⋊C4—861no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4—861no—
1547C22⋊C4—861no—
1548C22⋊C4—861no—
1549C22⋊C4—861no—
1550C22⋊C4—861no—
1551C22⋊C4—861no—
1552C22⋊C4—861no—
1553C22⋊C4D4×D4311yescharacteristic
1554C22⋊C4D4×D4311yescharacteristic
1555C42—21no—
1556C42—21no—
1557C42—21no—
1558C42—431no—
1559C42—431no—
1560C42—431no—
1561C42—431no—
1562C42—431no—
1563C42—861no—
1564C42—861no—
1565C42—861no—
1566C42—861no—
1567C42—861no—
1568C42—861no—
1569C42—861no—
1570C42C23×D4311yescharacteristic
1571C23—21no—
1572C23—21no—
1573C23—431no—
1574C23—861no—
1575C23—861no—
1576C23—861no—
1577C23—861no—
1578C23—3441no—
1579C23—3441no—
1580C23—3441no—
1581C23—3441no—
1582C23—1722no—
1583C23—1722no—
1584C23C2×D4×D4311yescharacteristic
1585C23C2×D4×D4311yescharacteristic
1586Q8—81no—
1587Q8—432no—
1588Q8—862no—
1589Q8—861no—
1590Q8—861no—
1591Q8—861no—
1592Q8—3441no—
1593Q8—1722no—
1594Q8—1722no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—41no—
1600D4—81no—
1601D4—81no—
1602D4—81no—
1603D4—81no—
1604D4—432no—
1605D4—862no—
1606D4—861no—
1607D4—861no—
1608D4—861no—
1609D4—861no—
1610D4—861no—
1611D4—861no—
1612D4—861no—
1613D4—3441no—
1614D4—3441no—
1615D4—3441no—
1616D4—3441no—
1617D4—3441no—
1618D4—3441no—
1619D4—3441no—
1620D4—3441no—
1621D4—3441no—
1622D4—3441no—
1623D4—3441no—
1624D4—3441no—
1625D4—1722no—
1626D4—1722no—
1627D4—1722no—
1628D4—1721no—
1629D4—1722no—
1630D4—1722no—
1631D4—1722no—
1632D4—1722no—
1633D4—1722no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—81no—
1647C2×C4—431no—
1648C2×C4—431no—
1649C2×C4—431no—
1650C2×C4—431no—
1651C2×C4—431no—
1652C2×C4—431no—
1653C2×C4—431no—
1654C2×C4—862no—
1655C2×C4—861no—
1656C2×C4—861no—
1657C2×C4—861no—
1658C2×C4—861no—
1659C2×C4—861no—
1660C2×C4—861no—
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—1722no—
1673C2×C4—1722no—
1674C2×C4—1722no—
1675C2×C4—1722no—
1676C2×C4—1722no—
1677C2×C4—1721no—
1678C2×C4—1722no—
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—861no—
1688C8—861no—
1689C8—861no—
1690C8—861no—
1691C8#41×D4312yes—
1692C22—21no—
1693C22—21no—
1694C22—21no—
1695C22—21no—
1696C22—21no—
1697C22—21no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—861no—
1705C22—861no—
1706C22—862no—
1707C22—861no—
1708C22—1721no—
1709C22—1721no—
1710C22—1721no—
1711C22—1721no—
1712C22—1721no—
1713C22—1721no—
1714C22—1721no—
1715C22—1721no—
1716C22—1721no—
1717C22—1721no—
1718C22—1721no—
1719C22—6882no—
1720C22—6882no—
1721C22C22×D4×D4311yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—21no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—432no—
1733C4—861no—
1734C4—861no—
1735C4—861no—
1736C4—862no—
1737C4—861no—
1738C4—861no—
1739C4—861no—
1740C4—1721no—
1741C4—1721no—
1742C4—1721no—
1743C4C2×#41×D4311yescharacteristic
1744C4#1458373611yescharacteristic
1745C2—41no—
1746C2—41no—
1747C2—81no—
1748C2—81no—
1749C2—3441no—
1750C2—3441no—
1751C2—3441no—
1752C2—1721no—
1753C2—1722no—
1754C2#1914808211yescharacteristic
1755C2#576×D4311yescharacteristic
1756C2#1914936811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3347C2
socleC22×C43C23×D4
hypercenter#3347D43
hypocenterC43#61494
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3347

Complements

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

NH ≅ G/Ntype
1. #19148594C2semidirect
2. #19148552C2semidirect
3. #19147638C2semidirect
4. #19147513C2semidirect
5. #19147294C2semidirect
6. #19147229C2semidirect
7. #19147175C2semidirect
8. #19147091C2semidirect
9. #19146543C2semidirect
10. #19146539C2semidirect
11. #19146532C2semidirect
12. #19146448C2semidirect
13. #19146439C2semidirect
14. #19146406C2semidirect
15. #19146212C2semidirect
16. #19146140C2semidirect
17. #19146132C2semidirect
18. #19145283C2semidirect
19. #19145279C2semidirect
20. #19145169C2semidirect
21. #19144862C2semidirect
22. #19144852C2semidirect
23. #19144840C2semidirect
24. #19144834C2semidirect
25. #19144741C2semidirect
26. #19144741C2semidirect
27. #19143565C2semidirect
28. #19143425C2semidirect
29. #19143424C2semidirect
30. #19143366C2semidirect
31. C43×#3347C2semidirect
36. #14583626C22semidirect
41. #14583593C22semidirect
44. #14583570C22semidirect
45. #14583570C22semidirect
48. #14583567C22semidirect
59. #14583505C22semidirect
60. #14583502C22semidirect
67. #14583444C22semidirect
72. #14583380C22semidirect
73. #14583378C22semidirect
77. #14583367C22semidirect
78. #14583306C22semidirect
79. #14583303C22semidirect
80. #14583288C22semidirect
81. #14583287C22semidirect
83. #14583256C22semidirect
84. #14583252C22semidirect
85. #14583247C22semidirect
87. #14583244C22semidirect
88. #14583244C22semidirect
89. #14583236C22semidirect
90. #14583234C22semidirect
91. #14583226C22semidirect
92. #14583225C22semidirect
93. #14583223C22semidirect
94. #14583223C22semidirect
95. #14583223C22semidirect
97. #14583202C22semidirect
100. #14583193C22semidirect
101. #14583191C22semidirect
102. #14583183C22semidirect
103. #14583183C22semidirect
105. #14583178C22semidirect
106. #14583178C22semidirect
108. #14583146C22semidirect
109. #14583145C22semidirect
111. #14583135C22semidirect
113. #14583133C22semidirect
114. #14583133C22semidirect
115. #14583129C22semidirect
116. #14583126C22semidirect
117. #14583122C22semidirect
118. #14583120C22semidirect
119. #14583114C22semidirect
120. #14583113C22semidirect
122. #14583098C22semidirect
124. #14583094C22semidirect
128. #14583093C22semidirect
129. #14583063C22semidirect
130. #14583062C22semidirect
132. #14583046C22semidirect
136. #14583042C22semidirect
141. #14583027C22semidirect
142. #14583023C22semidirect
144. #14583010C22semidirect
145. #14583010C22semidirect
147. #14583008C22semidirect
150. #14582998C22semidirect
151. #14582998C22semidirect
152. #14582996C22semidirect
153. #14582996C22semidirect
154. #14582993C22semidirect
155. #14582993C22semidirect
158. #14582986C22semidirect
159. #14582986C22semidirect
160. #14582986C22semidirect
161. C4×#10621883C22semidirect
162. D8×Dic43C22semidirect
166. #14582981C22semidirect
168. #14582979C22semidirect
169. #14582979C22semidirect
171. #14582970C22semidirect
172. D4×C43⋊C8C22semidirect
174. (C22⋊D43)⋊C8C22semidirect
175. #14582959C22semidirect
176. #14582957C22semidirect
177. #14582953C22semidirect
178. #14582938C22semidirect
180. #14582893C22semidirect
181. #14582893C22semidirect
182. #14582892C22semidirect
185. #14582857C22semidirect
186. #14582856C22semidirect
187. C2×C8×Dic43C22semidirect
189. C43×#553C22semidirect
190. C43×#501C22semidirect
191. C43×#482C22semidirect
192. C43×#482C22semidirect
193. C43×#482C22semidirect
195. C43×#478C22semidirect
196. C43×#474C22semidirect
198. C43×#466C22semidirect
199. C43×#442C22semidirect
200. C43×#435C22semidirect
201. C43×#428C22semidirect
202. C43×#427C22semidirect
689. #10621873#41semidirect
875. #3347D43semidirect
921. #553C2×D43semidirect
959. #501C2×D43semidirect
977. #482C2×D43semidirect
978. #482C2×D43semidirect
979. #482C2×D43semidirect
985. #478C2×D43semidirect
993. #474C2×D43semidirect
1003. #466C2×D43semidirect
1037. #442C2×D43semidirect
1062. #435C2×D43semidirect
1070. #428C2×D43semidirect
1071. #427C2×D43semidirect
1081. C43#61494semidirect

Maximal subgroups

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

subgroupindex
#191485942
#191485522
#191476382
#191475132
#191472942
#191472292
#191471752
#191470912
#191465432
#191465392
#191465322
#191464482
#191464392
#191464062
#191462122
#191461402
#191461322
#191452832
#191452792
#191451692
#191448622
#191448522
#191448402
#191448342
#191447412
#191435652
#191434252
#191434242
#191433662
C43×#33472
#6149443