Finite Group Databasebeta

← #25990369

Subgroups — #25990369

Order 11008.

1850 conjugacy classes of subgroups.

The subgroup lattice has 1788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148967C211yesmaximal, characteristic, complemented
2#19148704C211yesmaximal, characteristic, complemented
3#19147666C211yesmaximal, characteristic, complemented
4#19147638C211yesmaximal, characteristic, complemented
5#19147438C211yesmaximal, characteristic, complemented
6#19147325C211yesmaximal, characteristic, complemented
7#19146749C211yesmaximal, characteristic, complemented
8#19146741C211yesmaximal, characteristic, complemented
9#19146719C211yesmaximal, characteristic, complemented
10#19146576C211yesmaximal, characteristic, complemented
11#19146543C211yesmaximal, characteristic, complemented
12#19146433C211yesmaximal, characteristic, complemented
13#19146348C211yesmaximal, characteristic, complemented
14#19146305C211yesmaximal, characteristic, complemented
15#19146173C211yesmaximal, characteristic, complemented
16#19146152C211yesmaximal, characteristic, complemented
17#19146128C211yesmaximal, characteristic, complemented
18#19146092C211yesmaximal, characteristic, complemented
19#19146055C211yesmaximal, characteristic, complemented
20#19146013C211yesmaximal, characteristic, complemented
21#19145915C211yesmaximal, characteristic, complemented
22#19145686C211yesmaximal, characteristic, complemented
23#19145644C211yesmaximal, characteristic, complemented
24#19145634C211yesmaximal, characteristic, complemented
25#19144879C211yesmaximal, characteristic, complemented
26#19144831C211yesmaximal, characteristic, complemented
27#19144131C211yesmaximal, characteristic, complemented
28#19144111C211yesmaximal, characteristic, complemented
29#19144050C211yesmaximal, characteristic, complemented
30#19143736C211yesmaximal, characteristic, complemented
31C43×#3115C211yesmaximal, characteristic, complemented
32C2×#13063354C2211yescharacteristic, complemented
33C2×#13063352C2211yescharacteristic
34C2×#13063346C2211yescharacteristic, complemented
35C2×#13063345C2211yescharacteristic, complemented
36C2×#13063345C2211yescharacteristic, complemented
37C2×SD16×D43C2211yescharacteristic
38#14583637—21no—
39#14583637—21no—
40#14583632—21no—
41#14583632C2211yescharacteristic, complemented
42#14583625C2211yescharacteristic, complemented
43#14583619C2211yescharacteristic
44#14583612—21no—
45#14583612C2211yescharacteristic, complemented
46#14583599—21no—
47#14583599C2211yescharacteristic
48#14583595—21no—
49#14583588—21no—
50#14583588C2211yescharacteristic, complemented
51#14583570C2211yescharacteristic
52#14583568C2211yescharacteristic, complemented
53#14583567C2211yescharacteristic
54#14583567C2211yescharacteristic
55#14583561C2211yescharacteristic
56#14583556C2211yescharacteristic, complemented
57#14583553C2211yescharacteristic
58#14583546C2211yescharacteristic
59#14583546C2211yescharacteristic
60#14583545—21no—
61D4×D172C2211yescharacteristic
62#14583523C2211yescharacteristic
63#14583523C2211yescharacteristic
64#14583514—21no—
65#14583514C2211yescharacteristic, complemented
66#14583500—21no—
67#14583500C2211yescharacteristic, complemented
68#14583483—21no—
69#14583483—21no—
70#14583477—21no—
71#14583463—21no—
72#14583462C2211yescharacteristic
73#14583462C2211yescharacteristic
74#14583449C2211yescharacteristic
75#14583433—21no—
76#14583433—21no—
77#14583433C2211yescharacteristic
78#14583433C2211yescharacteristic, complemented
79#14583381C2211yescharacteristic, complemented
80#14583375C2211yescharacteristic, complemented
81#14583293C2211yescharacteristic, complemented
82#14583288C2211yescharacteristic
83#14583287C2211yescharacteristic
84#14583287C2211yescharacteristic, complemented
85#14583282C2211yescharacteristic
86#14583274C2211yescharacteristic, complemented
87#14583268C2211yescharacteristic, complemented
88#14583264C2211yescharacteristic
89#14583262C2211yescharacteristic, complemented
90#14583257C2211yescharacteristic
91#14583252C2211yescharacteristic
92#14583244C2211yescharacteristic, complemented
93#14583243C2211yescharacteristic, complemented
94#14583231C2211yescharacteristic, complemented
95#14583225C2211yescharacteristic
96#14583219C2211yescharacteristic
97#14583205C2211yescharacteristic, complemented
98#14583202C2211yescharacteristic, complemented
99#14583199C2211yescharacteristic
100#14583199C2211yescharacteristic, complemented
101#14583193C2211yescharacteristic, complemented
102#14583191C2211yescharacteristic, complemented
103#14583186C2211yescharacteristic, complemented
104#14583178C2211yescharacteristic, complemented
105#14583151C2211yescharacteristic
106#14583146C2211yescharacteristic
107#14583146C2211yescharacteristic, complemented
108#14583144C2211yescharacteristic, complemented
109#14583141C2211yescharacteristic, complemented
110#14583136C2211yescharacteristic
111#14583134C2211yescharacteristic
112#14583133C2211yescharacteristic
113#14583133C2211yescharacteristic, complemented
114#14583127C2211yescharacteristic, complemented
115#14583126C2211yescharacteristic
116#14583126C2211yescharacteristic, complemented
117#14583122C2211yescharacteristic, complemented
118#14583122C2211yescharacteristic, complemented
119#14583121C2211yescharacteristic, complemented
120#14583121C2211yescharacteristic, complemented
121#14583120C2211yescharacteristic
122#14583120C2211yescharacteristic, complemented
123#14583119C2211yescharacteristic
124#14583119C2211yescharacteristic
125#14583115C2211yescharacteristic, complemented
126#14583115C2211yescharacteristic, complemented
127#14583114C2211yescharacteristic
128#14583114C2211yescharacteristic, complemented
129#14583114C2211yescharacteristic, complemented
130#14583114C2211yescharacteristic, complemented
131#14583113C2211yescharacteristic
132#14583113C2211yescharacteristic, complemented
133#14583109C2211yescharacteristic, complemented
134#14583104C2211yescharacteristic, complemented
135#14583099C2211yescharacteristic
136#14583098C2211yescharacteristic, complemented
137#14583098C2211yescharacteristic, complemented
138#14583097C2211yescharacteristic, complemented
139#14583097C2211yescharacteristic, complemented
140#14583096C2211yescharacteristic
141#14583094C2211yescharacteristic
142#14583093C2211yescharacteristic, complemented
143#14583093C2211yescharacteristic, complemented
144#14583091C2211yescharacteristic
145#14583064C2211yescharacteristic, complemented
146#14583063C2211yescharacteristic, complemented
147#14583063C2211yescharacteristic, complemented
148#14583062C2211yescharacteristic, complemented
149#14583056C2211yescharacteristic, complemented
150#14583051C2211yescharacteristic
151#14583047C2211yescharacteristic
152#14583046C2211yescharacteristic, complemented
153#14583046C2211yescharacteristic, complemented
154#14583045C2211yescharacteristic, complemented
155#14583041C2211yescharacteristic, complemented
156#14583041C2211yescharacteristic, complemented
157#14583039C2211yescharacteristic
158#14583034C2211yescharacteristic
159#14583031C2211yescharacteristic
160#14583031C2211yescharacteristic
161#14583027C2211yescharacteristic, complemented
162#14583027C2211yescharacteristic, complemented
163#14583010C2211yescharacteristic, complemented
164#14583005C2211yescharacteristic, complemented
165#14583003C2211yescharacteristic, complemented
166#14583002C2211yescharacteristic, complemented
167#14582991C2211yescharacteristic, complemented
168#14582986C2211yescharacteristic, complemented
169#14582986C2211yescharacteristic, complemented
170#14582984C2211yescharacteristic, complemented
171#14582972C2211yescharacteristic
172#14582972C2211yescharacteristic
173#14582967C2211yescharacteristic, complemented
174#14582967C2211yescharacteristic, complemented
175(C22⋊D43)⋊C8C2211yescharacteristic, complemented
176(C22⋊D43)⋊C8C2211yescharacteristic, complemented
177#14582959C2211yescharacteristic, complemented
178#14582959C2211yescharacteristic, complemented
179#14582924C2211yescharacteristic, complemented
180#14582924C2211yescharacteristic, complemented
181C2×C4⋊(C43⋊C8)C2211yescharacteristic, complemented
182#14582902C2211yescharacteristic
183#14582897C2211yescharacteristic, complemented
184#14582893C2211yescharacteristic, complemented
185#14582893C2211yescharacteristic, complemented
186#14582892C2211yescharacteristic, complemented
187#102×D43C2211yescharacteristic
188C43×#532C2211yescharacteristic
189C4×#41×C43C2211yescharacteristic, complemented
190C43×#482C2211yescharacteristic
191C43×#482C2211yescharacteristic, complemented
192C43×#475C2211yescharacteristic, complemented
193C43×#474C2211yescharacteristic, complemented
194C43×#460C2211yescharacteristic
195C43×#459C2211yescharacteristic
196C43×#449C2211yescharacteristic
197C43×#449C2211yescharacteristic, complemented
198C43×#442C2211yescharacteristic
199C43×#442C2211yescharacteristic, complemented
200C43×#440C2211yescharacteristic
201C43×#440C2211yescharacteristic, complemented
202C43×#432C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×#10621898C2311yescharacteristic
206C2×#10621898C2311yescharacteristic
207C2×#10621900C2311yescharacteristic
208C2×#10621900C2311yescharacteristic
209C2×Q8×D43C2311yescharacteristic
210C22×D172—21no—
211C2×D4×D43C2311yescharacteristic
212C2×D4×D43C2311yescharacteristic
213#13063354—42no—
214#13063352—42no—
215#13063346—42no—
216#13063345—42no—
217#13063345—42no—
218C2×Dic172C2311yescharacteristic
219C2×Dic172C2311yescharacteristic
220C2×#10621885C2311yescharacteristic
221C2×#10621885C2311yescharacteristic
222C2×#10621873C2311yescharacteristic
223C2×#10621873C2311yescharacteristic
224C2×#10621873C2311yescharacteristic
225C2×#10621873C2311yescharacteristic
226C2×#10621883C2311yescharacteristic
227C2×#10621883C2311yescharacteristic
228C2×#10621883C2311yescharacteristic
229C2×#10621883C2311yescharacteristic
230C2×#10621884C2311yescharacteristic
231C2×#10621884C2311yescharacteristic
232SD16×D43—42no—
233C2×D344C2311yescharacteristic
234C2×D344C2311yescharacteristic
235C2×#10621882C2311yescharacteristic
236C2×#10621882C2311yescharacteristic
237C2×#10621882C2311yescharacteristic
238C2×#10621882C2311yescharacteristic
239C2×#10621872C2311yescharacteristic
240C2×#10621872C2311yescharacteristic
241C22×C43⋊C8C2311yescharacteristic
242C22×C43⋊C8C2311yescharacteristic
243C2×C8×D43C2311yescharacteristic
244C2×C8×D43C2311yescharacteristic
245#13063325C2311yescharacteristic
246#13063324—21no—
247#13063324C2311yescharacteristic
248#13063322C2311yescharacteristic
249#13063321—21no—
250#13063321—21no—
251#13063321—21no—
252#13063321C2311yescharacteristic
253#13063321C2311yescharacteristic
254#13063321C2311yescharacteristic
255#13063320—21no—
256#13063320—21no—
257#13063319—21no—
258#13063319D411yescharacteristic
259#13063319D411yescharacteristic
260#13063318—21no—
261#13063318—21no—
262#13063318—21no—
263#13063318—21no—
264#13063318—21no—
265#13063317—21no—
266#13063317—21no—
267#13063317D411yescharacteristic
268#13063317C2311yescharacteristic
269#13063316—21no—
270#13063316C2311yescharacteristic
271#13063314—21no—
272#13063314—21no—
273#13063313—21no—
274#13063313—21no—
275#13063313D411yescharacteristic
276#13063313C2311yescharacteristic
277#13063313C2311yescharacteristic
278#13063313C2311yescharacteristic
279#13063312—21no—
280#13063312C2311yescharacteristic
281#13063312C2311yescharacteristic
282#13063312C2311yescharacteristic
283#13063311—21no—
284#13063311—21no—
285#13063311—21no—
286#13063310—21no—
287#13063310—21no—
288#13063309—21no—
289#13063309—21no—
290#13063308—21no—
291#13063308—21no—
292#13063308—21no—
293#13063308—21no—
294#13063308—21no—
295#13063308D411yescharacteristic
296#13063308D411yescharacteristic
297#13063307—21no—
298#13063307—21no—
299#13063307—21no—
300#13063307—21no—
301#13063307—21no—
302#13063305—21no—
303#13063305C2311yescharacteristic
304#13063305C2311yescharacteristic
305#13063305C2311yescharacteristic
306#13063304—21no—
307#13063304—21no—
308#13063304—21no—
309#13063304D411yescharacteristic
310#13063304C2311yescharacteristic
311#13063301—21no—
312#13063301—21no—
313#13063300—21no—
314#13063300C2311yescharacteristic
315#13063300C2311yescharacteristic
316#13063300C2311yescharacteristic
317#13063299—21no—
318#13063299—21no—
319#13063299—21no—
320#13063299—21no—
321#13063299—21no—
322#13063299—21no—
323#13063299—21no—
324#13063299D411yescharacteristic
325#13063299C2311yescharacteristic
326#13063298—21no—
327#13063298—21no—
328#13063298—21no—
329#13063298—21no—
330#13063298—21no—
331#13063298—21no—
332#13063298—21no—
333#13063297—21no—
334#13063297—21no—
335#13063297—21no—
336#13063297—21no—
337#13063297—21no—
338#13063297—21no—
339#13063296—21no—
340#13063296—21no—
341#13063296—21no—
342#13063296—21no—
343#13063296C2311yescharacteristic
344#13063296C2311yescharacteristic
345#13063295—21no—
346#13063295—21no—
347#13063293—21no—
348#13063293—21no—
349#13063293—21no—
350#13063293—21no—
351#13063293—21no—
352#13063293—21no—
353Q8×Dic43C2311yescharacteristic
354Q8×Dic43C2311yescharacteristic
355C4×Dic86—21no—
356C4×Dic86—21no—
357C4×Dic86C2311yescharacteristic
358C4×Dic86C2311yescharacteristic
359#13063290—21no—
360#13063290C2311yescharacteristic
361#13063290C2311yescharacteristic
362#13063290C2311yescharacteristic
363C4×D172—21no—
364C4×D172—21no—
365C4×D172—21no—
366C4×D172—21no—
367C4×D172C2311yescharacteristic
368C4×D172C2311yescharacteristic
369#13063287—21no—
370#13063287C2311yescharacteristic
371#13063287C2311yescharacteristic
372#13063287C2311yescharacteristic
373C4×C22⋊D43—21no—
374C4×C22⋊D43—21no—
375C4×C22⋊D43—21no—
376C4×C22⋊D43—21no—
377C4×C22⋊D43—21no—
378C4×C22⋊D43C2311yescharacteristic
379C4×C22⋊D43C2311yescharacteristic
380(C22⋊D43)⋊C4—21no—
381(C22⋊D43)⋊C4—21no—
382#13063284—21no—
383#13063283—21no—
384#13063283C2311yescharacteristic
385#13063282—21no—
386#13063282—21no—
387#13063282—21no—
388#13063282—21no—
389#13063282—21no—
390#13063282C2311yescharacteristic
391#13063282C2311yescharacteristic
392C2×C4⋊Dic43—21no—
393C4⋊C4×D43—21no—
394C4⋊C4×D43C2311yescharacteristic
395C22⋊C4×D43—21no—
396C22⋊C4×D43—21no—
397#13063258C2311yescharacteristic
398#13063258C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401C4⋊(C43⋊C8)C2311yescharacteristic
402C4⋊(C43⋊C8)C2311yescharacteristic
403C4⋊(C43⋊C8)C2311yescharacteristic
404C4⋊(C43⋊C8)C2311yescharacteristic
405Dic43⋊C8C2311yescharacteristic
406Dic43⋊C8C2311yescharacteristic
407Dic43⋊C8C2311yescharacteristic
408Dic43⋊C8C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063245C2311yescharacteristic
428#13063245C2311yescharacteristic
429#13063245C2311yescharacteristic
430#13063245C2311yescharacteristic
431#13063245C2311yescharacteristic
432#13063245C2311yescharacteristic
433(C2×D43)⋊C8C2311yescharacteristic
434(C2×D43)⋊C8C2311yescharacteristic
435(C2×D43)⋊C8C2311yescharacteristic
436(C2×D43)⋊C8C2311yescharacteristic
437#13063235C2311yescharacteristic
438#13063235C2311yescharacteristic
439C8×Dic43C2311yescharacteristic
440C8×Dic43C2311yescharacteristic
441C2×#41×C43—21no—
442C2×#41×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C2×SD16×C43C2311yescharacteristic
445C2×D8×C43C2311yescharacteristic
446C2×D8×C43C2311yescharacteristic
447C4⋊Q8×C43C2311yescharacteristic
448#127×C43C2311yescharacteristic
449#124×C43—21no—
450#121×C43—21no—
451#121×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×D4×C43—21no—
456C4×D4×C43—21no—
457C4×D4×C43—21no—
458C4×D4×C43C2311yescharacteristic
459C4×D4×C43C2311yescharacteristic
460C4×D4×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462#117×C43—21no—
463#117×C43C2311yescharacteristic
464C2×C42×C43—21no—
465C2×C42×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#107×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470C4⋊C8×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478#102×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480C22⋊C8×C43C2311yescharacteristic
481C22⋊C8×C43C2311yescharacteristic
482#97×C43C2311yescharacteristic
483#97×C43C2311yescharacteristic
484C23×D43—21no—
485C23×D43—21no—
486#41×C43—22no—
487#41×C43—41no—
488#41×C43—82no—
489C2×Q8×C43—21no—
490C2×Q8×C43C2411yescharacteristic
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43—21no—
494C2×D4×C43—21no—
495C2×D4×C43—21no—
496C2×D4×C43C2411yescharacteristic
497C2×D4×C43C2411yescharacteristic
498C2×D4×C43C2411yescharacteristic
499C22×C4×C43—21no—
500C22×C4×C43—21no—
501C22×C4×C43—21no—
502C22×C4×C43—21no—
503C22×C4×C43—21no—
504C22×C4×C43C2×D411yescharacteristic
505C22×C4×C43C2×D411yescharacteristic
506C22×C4×C43C2411yescharacteristic
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43—21no—
520C2×C22⋊D43—21no—
521C2×C22⋊D43—21no—
522C2×C22⋊D43C2×D411yescharacteristic
523C2×C22⋊D43C2×D411yescharacteristic
524C22×Dic43—21no—
525C22×Dic43—21no—
526#10621902—22no—
527#10621902—41no—
528Q8×D43—22no—
529Q8×D43—41no—
530#10621900—41no—
531#10621900—41no—
532#10621900—41no—
533#10621900—41no—
534D4×D43—41no—
535D4×D43—41no—
536D4×D43—41no—
537D4×D43—41no—
538#10621898—41no—
539#10621898—41no—
540#10621898—41no—
541#10621898—41no—
542#10621898—82no—
543C2×D172—21no—
544C2×D172—21no—
545C2×D172—21no—
546C2×D172—21no—
547C2×D172—21no—
548C2×D172—21no—
549C2×D172—82no—
550C2×D172C2×D411yescharacteristic
551C2×D172C2411yescharacteristic
552C2×D172C2411yescharacteristic
553C2×D172C2411yescharacteristic
554C2×C4×D43—21no—
555C2×C4×D43—21no—
556C2×C4×D43—21no—
557C2×C4×D43—21no—
558C2×C4×D43—21no—
559C2×C4×D43—21no—
560C2×C4×D43—21no—
561C2×C4×D43—21no—
562C2×C4×D43—21no—
563C2×C4×D43C2411yescharacteristic
564C2×C4×D43C2411yescharacteristic
565C2×Dic86—21no—
566C2×Dic86—21no—
567C2×Dic86C2×D411yescharacteristic
568C2×Dic86C2411yescharacteristic
569C2×Dic86C2411yescharacteristic
570C2×Dic86C2411yescharacteristic
571SD16×C43—22no—
572SD16×C43—22no—
573D8×C43—41no—
574D8×C43—41no—
575C2×C8×C43C2411yescharacteristic
576C2×C8×C43C2411yescharacteristic
577C2×C8×C43C2411yescharacteristic
578C2×C8×C43C2411yescharacteristic
579C4⋊C4×C43—21no—
580C4⋊C4×C43—21no—
581C4⋊C4×C43—21no—
582C4⋊C4×C43C2411yescharacteristic
583C4⋊C4×C43C2411yescharacteristic
584C4⋊C4×C43C2411yescharacteristic
585C4⋊C4×C43C2411yescharacteristic
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—
593C42×C43—21no—
594C42×C43—21no—
595C42×C43—21no—
596C42×C43C2×D411yescharacteristic
597C42×C43C2×D411yescharacteristic
598C42×C43C2411yescharacteristic
599C42×C43C2411yescharacteristic
600C22⋊Dic43—21no—
601C22⋊Dic43—21no—
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607C22⋊Dic43—21no—
608C22⋊Dic43—21no—
609C22⋊Dic43C2×D411yescharacteristic
610C22⋊Dic43C2×D411yescharacteristic
611#10621885—22no—
612#10621885—22no—
613#10621884—22no—
614#10621884—22no—
615#10621883—41no—
616#10621883—41no—
617#10621883—41no—
618#10621883—41no—
619#10621882—41no—
620#10621882—41no—
621#10621882—41no—
622#10621882—41no—
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)⋊C4—21no—
635(C2×D43)⋊C4—21no—
636(C2×D43)⋊C4—21no—
637(C2×D43)⋊C4—21no—
638(C2×D43)⋊C4—21no—
639(C2×D43)⋊C4—21no—
640(C2×D43)⋊C4—21no—
641(C2×D43)⋊C4C2×D411yescharacteristic
642(C2×D43)⋊C4C2×D411yescharacteristic
643(C2×D43)⋊C4C2×D411yescharacteristic
644(C2×D43)⋊C4C2×D411yescharacteristic
645(C2×D43)⋊C4C2×D411yescharacteristic
646(C2×D43)⋊C4C2×D411yescharacteristic
647(C2×D43)⋊C4C2×D411yescharacteristic
648(C2×D43)⋊C4C2×D411yescharacteristic
649C4⋊Dic43—21no—
650C4⋊Dic43—21no—
651C4⋊Dic43—21no—
652C4⋊Dic43—21no—
653C4⋊Dic43—21no—
654C4⋊Dic43—21no—
655C4⋊Dic43—21no—
656C4⋊Dic43—21no—
657C4⋊Dic43C2×D411yescharacteristic
658C4⋊Dic43C2×D411yescharacteristic
659C4⋊Dic43C2411yescharacteristic
660C4⋊Dic43C2411yescharacteristic
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4—21no—
666Dic43⋊C4—21no—
667Dic43⋊C4—21no—
668Dic43⋊C4—21no—
669Dic43⋊C4—21no—
670Dic43⋊C4—21no—
671Dic43⋊C4C2×D411yescharacteristic
672Dic43⋊C4C2×D411yescharacteristic
673Dic43⋊C4C2×D411yescharacteristic
674Dic43⋊C4C2×D411yescharacteristic
675Dic43⋊C4C2×D411yescharacteristic
676Dic43⋊C4C2×D411yescharacteristic
677Dic43⋊C4C2×D411yescharacteristic
678Dic43⋊C4C2×D411yescharacteristic
679C4×Dic43—21no—
680C4×Dic43—21no—
681C4×Dic43—21no—
682C4×Dic43—21no—
683C4×Dic43—21no—
684C4×Dic43—21no—
685C4×Dic43—21no—
686C4×Dic43C2411yescharacteristic
687C4×Dic43C2411yescharacteristic
688C2×C43⋊C8—41no—
689C2×C43⋊C8—41no—
690C2×C43⋊C8C2411yescharacteristic
691C2×C43⋊C8C2411yescharacteristic
692C2×C43⋊C8C2411yescharacteristic
693C2×C43⋊C8C2411yescharacteristic
694Dic172—41no—
695Dic172—41no—
696D344—41no—
697D344—41no—
698#10621873—41no—
699#10621873—41no—
700#10621873—41no—
701#10621873—41no—
702#10621872—41no—
703#10621872—41no—
704C8×D43—41no—
705C8×D43—41no—
706C23×C43—21no—
707C23×C43—21no—
708C23×C43—21no—
709C23×C43C22×D411yescharacteristic
710C22×D43—21no—
711C22×D43—21no—
712C22×D43—21no—
713C22×D43—81no—
714C22×D43—81no—
715C22×D43—81no—
716C22×D43—81no—
717C22×D43—81no—
718C22×D43—81no—
719C22×D43C22×D411yescharacteristic
720C22×D43C22×D411yescharacteristic
721Q8×C43—21no—
722Q8×C43—81no—
723Q8×C43H(5,𝔽2)12yes—
724D4×C43—21no—
725D4×C43—21no—
726D4×C43—21no—
727D4×C43—21no—
728D4×C43—21no—
729D4×C43—21no—
730D4×C43—42no—
731D4×C43—81no—
732D4×C43—81no—
733D4×C43—81no—
734D4×C43—81no—
735C2×C4×C43—21no—
736C2×C4×C43—21no—
737C2×C4×C43—21no—
738C2×C4×C43—21no—
739C2×C4×C43—21no—
740C2×C4×C43—21no—
741C2×C4×C43—21no—
742C2×C4×C43—41no—
743C2×C4×C43—41no—
744C2×C4×C43—42no—
745C2×C4×C43—42no—
746C2×C4×C43—42no—
747C2×C4×C43—81no—
748C2×C4×C43—81no—
749C2×C4×C43C22×D411yescharacteristic
750C2×C4×C43C22×D411yescharacteristic
751C2×C4×C43C22×D411yescharacteristic
752C2×C4×C43C22×D411yescharacteristic
753C2×C4×C43C22×D411yescharacteristic
754C2×C4×C43C2511yescharacteristic
755C22⋊D43—41no—
756C22⋊D43—41no—
757C22⋊D43—81no—
758C22⋊D43—81no—
759C22⋊D43—81no—
760C22⋊D43—81no—
761C22⋊D43—81no—
762C22⋊D43—81no—
763C22⋊D43—81no—
764C22⋊D43—81no—
765C22⋊D43—81no—
766C22⋊D43—81no—
767C22⋊D43—81no—
768C22⋊D43—81no—
769C22⋊D43—81no—
770C22⋊D43—81no—
771C22⋊D43—81no—
772C2×Dic43—21no—
773C2×Dic43—21no—
774C2×Dic43—21no—
775C2×Dic43—21no—
776C2×Dic43—21no—
777C2×Dic43—81no—
778C2×Dic43—81no—
779C2×Dic43C22×D411yescharacteristic
780C2×Dic43C22×D411yescharacteristic
781C2×Dic43C22×D411yescharacteristic
782C2×Dic43C22×D411yescharacteristic
783C2×Dic43C22×D411yescharacteristic
784C2×Dic43C22×D411yescharacteristic
785D172—21no—
786D172—21no—
787D172—21no—
788D172—21no—
789D172—21no—
790D172—21no—
791D172—41no—
792D172—42no—
793D172—42no—
794D172—81no—
795D172—81no—
796D172—81no—
797D172—81no—
798C4×D43—21no—
799C4×D43—21no—
800C4×D43—21no—
801C4×D43—21no—
802C4×D43—42no—
803C4×D43—42no—
804C4×D43—81no—
805C4×D43—81no—
806C4×D43—81no—
807C4×D43—81no—
808C4×D43—81no—
809C4×D43—81no—
810C4×D43—81no—
811Dic86—21no—
812Dic86—21no—
813Dic86—21no—
814Dic86—21no—
815Dic86—21no—
816Dic86—21no—
817Dic86—41no—
818Dic86—42no—
819Dic86—81no—
820C8×C43—21no—
821C8×C43—21no—
822C8×C43—21no—
823C8×C43—21no—
824C43⋊C8—21no—
825C43⋊C8—21no—
826C43⋊C8—21no—
827C43⋊C8—21no—
828#62026—431nomaximal, Sylow
829C22×C43—21no—
830C22×C43—21no—
831C22×C43—21no—
832C22×C43—41no—
833C22×C43—41no—
834C22×C43—41no—
835C22×C43—41no—
836C22×C43—41no—
837C22×C43—41no—
838C22×C43—41no—
839C22×C43—41no—
840C22×C43—41no—
841C22×C43C23×D411yescharacteristic
842C2×D43—21no—
843C2×D43—21no—
844C2×D43—21no—
845C2×D43—21no—
846C2×D43—21no—
847C2×D43—21no—
848C2×D43—41no—
849C2×D43—41no—
850C2×D43—41no—
851C2×D43—41no—
852C2×D43—41no—
853C2×D43—41no—
854C2×D43—41no—
855C2×D43—41no—
856C2×D43—41no—
857C2×D43—162no—
858C2×D43—162no—
859C4×C43—21no—
860C4×C43—21no—
861C4×C43—21no—
862C4×C43—21no—
863C4×C43—22no—
864C4×C43—21no—
865C4×C43—41no—
866C4×C43—41no—
867C4×C43—41no—
868C4×C43—41no—
869C4×C43C2×H(5,𝔽2)11yescharacteristic
870C4×C43#58511yescharacteristic
871Dic43—21no—
872Dic43—21no—
873Dic43—21no—
874Dic43—21no—
875Dic43—21no—
876Dic43—21no—
877Dic43—41no—
878Dic43—41no—
879Dic43—41no—
880Dic43—41no—
881Dic43—41no—
882#3546—431no—
883#3524—431no—
884#3401—431no—
885#3399—431no—
886#3377—431no—
887#3368—431no—
888#3319—431no—
889#3318—431no—
890#3317—431no—
891#3307—431no—
892#3305—431no—
893#3296—431no—
894#3287—431no—
895#3282—431no—
896#3271—431no—
897#3269—431no—
898#3268—431no—
899#3265—431no—
900#3262—431no—
901#3257—431no—
902#3247—431no—
903#3224—431no—
904#3220—431no—
905#3219—431no—
906#3125—431no—
907#3121—431no—
908#3115D4311yescharacteristic, complemented
909#3045—431no—
910#3043—431no—
911#3035—431no—
912#2992—431no—
913C2×C43—41no—
914C2×C43—81no—
915C2×C43—81no—
916C2×C43—81no—
917C2×C43#348811yescharacteristic
918C2×C43#358411yescharacteristic
919C2×C43#358511yescharacteristic
920D43—41no—
921D43—41no—
922D43—81no—
923D43—81no—
924D43—81no—
925C2×#137—431no—
926C2×AGL(1,ℤ/8)—431no—
927C2×#135—431no—
928C2×#135—431no—
929C2×#135—431no—
930C22×SD16—431no—
931#560—861no—
932#560—861no—
933#559—431no—
934#559—861no—
935#557—431no—
936#556—431no—
937#555—431no—
938#555—861no—
939#553—431no—
940#553—861no—
941#553—861no—
942#552—431no—
943#552—861no—
944#550—431no—
945#550—431no—
946#550—431no—
947#550—431no—
948#548—431no—
949#548—431no—
950#547—431no—
951#546—431no—
952#546—431no—
953#546—861no—
954D42—431no—
955#542—431no—
956#542—431no—
957#542—431no—
958#542—861no—
959#540—431no—
960#540—861no—
961#538—861no—
962#538—861no—
963#537—861no—
964#535—431no—
965#535—431no—
966#535—861no—
967#532—431no—
968#532C2×D4311yescharacteristic
969#529—431no—
970#529—431no—
971#529—861no—
972#529—861no—
973#520—431no—
974#519—431no—
975C4×#41C2×D4311yescharacteristic, complemented
976#497—431no—
977#496—431no—
978#496—431no—
979#496—431no—
980#495—431no—
981#493—431no—
982#491—431no—
983#490—431no—
984#490—431no—
985#489—431no—
986#488—431no—
987#486—431no—
988#485—431no—
989#483—431no—
990#482—431no—
991#482C2×D4311yescharacteristic
992#482C2×D4311yescharacteristic, complemented
993#481—431no—
994#479—431no—
995#478—431no—
996#478—431no—
997#478—431no—
998#477—431no—
999#477—431no—
1000#476—431no—
1001#475C2×D4311yescharacteristic, complemented
1002#474—431no—
1003#474C2×D4311yescharacteristic, complemented
1004#469—431no—
1005#468—431no—
1006#468—431no—
1007#468—431no—
1008#467—431no—
1009#466—431no—
1010#466—431no—
1011#466—431no—
1012#466—431no—
1013#465—431no—
1014#465—431no—
1015#465—431no—
1016#464—431no—
1017#464—431no—
1018#464—431no—
1019#464—431no—
1020#464—431no—
1021#464—431no—
1022#464—431no—
1023#464—431no—
1024#463—431no—
1025#463—431no—
1026#463—431no—
1027#463—431no—
1028#463—431no—
1029#463—431no—
1030#463—431no—
1031#463—431no—
1032#462—431no—
1033#461—431no—
1034#460—431no—
1035#460—431no—
1036#460—431no—
1037#460—431no—
1038#460—431no—
1039#460—431no—
1040#460C2×D4311yescharacteristic
1041#459—431no—
1042#459—431no—
1043#459—431no—
1044#459—431no—
1045#459C2×D4311yescharacteristic
1046#452—431no—
1047#452—431no—
1048#452—431no—
1049#452—431no—
1050#451—431no—
1051#450—431no—
1052#449—431no—
1053#449—431no—
1054#449—431no—
1055#449—431no—
1056#449—431no—
1057#449—431no—
1058#449C2×D4311yescharacteristic
1059#449C2×D4311yescharacteristic, complemented
1060#448—431no—
1061#447—431no—
1062#447—431no—
1063#447—431no—
1064#446—431no—
1065#446—431no—
1066#442—431no—
1067#442C2×D4311yescharacteristic
1068#442C2×D4311yescharacteristic, complemented
1069#441—431no—
1070#441—431no—
1071#440—431no—
1072#440C2×D4311yescharacteristic
1073#440C2×D4311yescharacteristic, complemented
1074C4×Q16—431no—
1075C4×SD16—431no—
1076C4×SD16—431no—
1077C4×SD16—431no—
1078#435—431no—
1079#435—431no—
1080#435—431no—
1081#435—431no—
1082C8×D4—431no—
1083C8×D4—431no—
1084#433—431no—
1085#433—431no—
1086#432C2×D4311yescharacteristic, complemented
1087#424—431no—
1088#424—431no—
1089C2×C4⋊C8—431no—
1090#418—431no—
1091#417—431no—
1092#416—431no—
1093#416—431no—
1094#416—431no—
1095C2×#102—431no—
1096C43#6202611yescharacteristic, complemented, Sylow
1097C2×#41—21no—
1098C2×#41—431no—
1099C2×#41—431no—
1100C2×#41—431no—
1101C2×#41—431no—
1102C2×#41—431no—
1103C2×#41—861no—
1104C2×#41C22×D4311yescharacteristic
1105C22×Q8—431no—
1106C22×D4—431no—
1107C22×D4—431no—
1108C22×D4—861no—
1109#137—1722no—
1110AGL(1,ℤ/8)—1722no—
1111#135—1722no—
1112#135—1722no—
1113#135—1722no—
1114C2×Q16—431no—
1115C2×Q16—431no—
1116C2×Q16—431no—
1117C2×Q16—431no—
1118C2×SD16—431no—
1119C2×SD16—431no—
1120C2×SD16—431no—
1121C2×SD16—431no—
1122C2×SD16—431no—
1123C2×SD16—431no—
1124C2×SD16—431no—
1125C2×SD16—431no—
1126C2×SD16—431no—
1127C2×SD16—431no—
1128C2×SD16—1722no—
1129C2×SD16C22×D4311yescharacteristic
1130C2×SD16C22×D4311yescharacteristic
1131C2×D8—431no—
1132C2×D8—431no—
1133C2×D8—431no—
1134C2×D8—431no—
1135C2×D8—431no—
1136C2×D8—431no—
1137C2×D8C22×D4311yescharacteristic
1138C2×D8C22×D4311yescharacteristic
1139C2×M16—431no—
1140C2×M16—431no—
1141C22×C8—431no—
1142C22×C8—431no—
1143C22×C8—431no—
1144C22×C8—431no—
1145C4⋊Q8—431no—
1146C4⋊Q8—431no—
1147C4⋊Q8—861no—
1148C4⋊Q8C22×D4311yescharacteristic
1149#127—431no—
1150#127—431no—
1151#127—431no—
1152#127—431no—
1153#127—861no—
1154#127—861no—
1155#127—861no—
1156#127C22×D4311yescharacteristic
1157#126—431no—
1158#126—431no—
1159#126—861no—
1160#126—861no—
1161#126—861no—
1162#126—861no—
1163#126—861no—
1164#126—861no—
1165#126—861no—
1166#126—861no—
1167#125—431no—
1168#125—431no—
1169#125—431no—
1170#125—861no—
1171#125—861no—
1172#125—861no—
1173#124—21no—
1174#124—431no—
1175#124—431no—
1176#124—431no—
1177#124—431no—
1178#124—431no—
1179#124—431no—
1180#124—431no—
1181#124—861no—
1182#124—861no—
1183#124—861no—
1184#124—861no—
1185#124—861no—
1186#124—861no—
1187#124—861no—
1188#124—861no—
1189#123—431no—
1190#123—431no—
1191#123—861no—
1192#123—861no—
1193#123—861no—
1194#123—861no—
1195#123—861no—
1196#123—861no—
1197#123—861no—
1198#123—861no—
1199#123—861no—
1200#123—861no—
1201#123—861no—
1202#123—861no—
1203#123—861no—
1204#123—861no—
1205C22⋊Q8—431no—
1206C22⋊Q8—431no—
1207C22⋊Q8—431no—
1208C22⋊Q8—431no—
1209C22⋊Q8—431no—
1210C22⋊Q8—861no—
1211C22⋊Q8—861no—
1212C22⋊Q8—861no—
1213C22⋊Q8—861no—
1214C22⋊Q8—861no—
1215C22⋊Q8—861no—
1216#121—21no—
1217#121—431no—
1218#121—431no—
1219#121—431no—
1220#121—431no—
1221#121—431no—
1222#121—431no—
1223#121—431no—
1224#121—861no—
1225#121—861no—
1226#121—861no—
1227#121—861no—
1228#121—861no—
1229#121—861no—
1230#121—861no—
1231#121—861no—
1232#121—861no—
1233#121—861no—
1234#121—861no—
1235#121—861no—
1236#121—861no—
1237#121—861no—
1238#121—861no—
1239#121—861no—
1240#121—861no—
1241#121—861no—
1242#121—861no—
1243#121—861no—
1244#121—861no—
1245#121—861no—
1246#121—861no—
1247#121—861no—
1248#121—861no—
1249#121C22×D4311yescharacteristic
1250#121C22×D4311yescharacteristic
1251#120—861no—
1252#120—861no—
1253#120—861no—
1254#120—861no—
1255#120—861no—
1256#120—861no—
1257#120—861no—
1258#120—861no—
1259C4×Q8—431no—
1260C4×Q8—431no—
1261C4×Q8—431no—
1262C4×Q8—431no—
1263C4×Q8—431no—
1264C4×Q8—431no—
1265C4×Q8—431no—
1266C4×Q8—861no—
1267C4×Q8—861no—
1268C4×Q8—861no—
1269C4×Q8C22×D4311yescharacteristic
1270C4×Q8C22×D4311yescharacteristic
1271C4×D4—21no—
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—431no—
1275C4×D4—431no—
1276C4×D4—431no—
1277C4×D4—431no—
1278C4×D4—431no—
1279C4×D4—431no—
1280C4×D4—431no—
1281C4×D4—861no—
1282C4×D4—861no—
1283C4×D4—861no—
1284C4×D4—861no—
1285C4×D4—861no—
1286C4×D4—861no—
1287C4×D4—861no—
1288C4×D4—861no—
1289C4×D4—861no—
1290C4×D4—861no—
1291C4×D4—861no—
1292C4×D4—861no—
1293C4×D4C22×D4311yescharacteristic
1294C4×D4C22×D4311yescharacteristic
1295C4×D4C22×D4311yescharacteristic
1296C4×D4C22×D4311yescharacteristic
1297#117—21no—
1298#117—431no—
1299#117—431no—
1300#117—431no—
1301#117—861no—
1302#117—861no—
1303#117—861no—
1304#117—861no—
1305#117—861no—
1306#117—861no—
1307#117—861no—
1308#117C22×D4311yescharacteristic
1309C2×C4⋊C4—431no—
1310C2×C4⋊C4—861no—
1311C2×C4⋊C4—861no—
1312C2×C22⋊C4—861no—
1313C2×C22⋊C4—861no—
1314C2×C42—21no—
1315C2×C42C22×D4311yescharacteristic
1316#107—431no—
1317#107—431no—
1318#107C22×D4311yescharacteristic
1319#107C22×D4311yescharacteristic
1320#106—431no—
1321#106—431no—
1322#106C22×D4311yescharacteristic
1323#106C22×D4311yescharacteristic
1324C4⋊C8—431no—
1325C4⋊C8—431no—
1326C4⋊C8—431no—
1327C4⋊C8—431no—
1328C4⋊C8—431no—
1329C4⋊C8—431no—
1330C4⋊C8—431no—
1331C4⋊C8—431no—
1332C4⋊C8C22×D4311yescharacteristic
1333C4⋊C8C22×D4311yescharacteristic
1334#103—431no—
1335#103—431no—
1336#103—431no—
1337#103—431no—
1338#103—431no—
1339#103—431no—
1340#103—431no—
1341#103—431no—
1342#103—431no—
1343#103—431no—
1344#103C22×D4311yescharacteristic
1345#103C22×D4311yescharacteristic
1346#102—431no—
1347#102—431no—
1348#102—431no—
1349#102—431no—
1350#102—431no—
1351#102—431no—
1352#102—431no—
1353#102—431no—
1354#102—431no—
1355#102—431no—
1356#102—431no—
1357#102—431no—
1358#102—431no—
1359#102—431no—
1360#102C22×D4311yescharacteristic
1361#102C22×D4311yescharacteristic
1362#102C22×D4311yescharacteristic
1363#102C22×D4311yescharacteristic
1364#102C22×D4311yescharacteristic
1365#102C22×D4311yescharacteristic
1366C22⋊C8—431no—
1367C22⋊C8—431no—
1368C22⋊C8—431no—
1369C22⋊C8—431no—
1370C22⋊C8C22×D4311yescharacteristic
1371C22⋊C8C22×D4311yescharacteristic
1372#97—431no—
1373#97—431no—
1374#97C22×D4311yescharacteristic
1375#97C22×D4311yescharacteristic
1376C4×C8—431no—
1377C4×C8—431no—
1378C24—861no—
1379C24—861no—
1380#41—22no—
1381#41—41no—
1382#41—82no—
1383#41—862no—
1384#41—3442no—
1385#41—1721no—
1386#41—1721no—
1387#41—1721no—
1388#41—1721no—
1389#41—1721no—
1390#41—1721no—
1391#41—1721no—
1392#41—1721no—
1393#41—1721no—
1394C2×Q8—21no—
1395C2×Q8—431no—
1396C2×Q8—431no—
1397C2×Q8—431no—
1398C2×Q8—431no—
1399C2×Q8—861no—
1400C2×Q8—861no—
1401C2×Q8—862no—
1402C2×Q8—1721no—
1403C2×Q8C23×D4311yescharacteristic
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—431no—
1410C2×D4—431no—
1411C2×D4—431no—
1412C2×D4—431no—
1413C2×D4—431no—
1414C2×D4—431no—
1415C2×D4—861no—
1416C2×D4—861no—
1417C2×D4—861no—
1418C2×D4—861no—
1419C2×D4—861no—
1420C2×D4—861no—
1421C2×D4—861no—
1422C2×D4—861no—
1423C2×D4—861no—
1424C2×D4—861no—
1425C2×D4—861no—
1426C2×D4—861no—
1427C2×D4—861no—
1428C2×D4—861no—
1429C2×D4—861no—
1430C2×D4—861no—
1431C2×D4—861no—
1432C2×D4—861no—
1433C2×D4—861no—
1434C2×D4—861no—
1435C2×D4—861no—
1436C2×D4—3442no—
1437C2×D4—1721no—
1438C2×D4—1721no—
1439C2×D4—1721no—
1440C2×D4—1721no—
1441C2×D4C23×D4311yescharacteristic
1442C2×D4C23×D4311yescharacteristic
1443C2×D4C23×D4311yescharacteristic
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—431no—
1450C22×C4—431no—
1451C22×C4—861no—
1452C22×C4—861no—
1453C22×C4—861no—
1454C22×C4—861no—
1455C22×C4—861no—
1456C22×C4—861no—
1457C22×C4—861no—
1458C22×C4—861no—
1459C22×C4—861no—
1460C22×C4—861no—
1461C22×C4—861no—
1462C22×C4D4×D4311yescharacteristic
1463C22×C4D4×D4311yescharacteristic
1464C22×C4C23×D4311yescharacteristic
1465Q16—862no—
1466Q16—862no—
1467Q16—1721no—
1468Q16—1721no—
1469SD16—22no—
1470SD16—22no—
1471SD16—862no—
1472SD16—862no—
1473SD16—1721no—
1474SD16—1721no—
1475SD16—1721no—
1476SD16—1721no—
1477SD16—1721no—
1478SD16—1721no—
1479SD16—1721no—
1480SD16—1721no—
1481D8—41no—
1482D8—41no—
1483D8—1721no—
1484D8—1721no—
1485D8—1721no—
1486D8—1721no—
1487D8—1721no—
1488D8—1721no—
1489M16—1721no—
1490M16—1721no—
1491C2×C8—431no—
1492C2×C8—431no—
1493C2×C8—431no—
1494C2×C8—431no—
1495C2×C8—1721no—
1496C2×C8—1721no—
1497C2×C8—1721no—
1498C2×C8—1721no—
1499C2×C8C23×D4311yescharacteristic
1500C2×C8C23×D4311yescharacteristic
1501C2×C8C23×D4311yescharacteristic
1502C2×C8C23×D4311yescharacteristic
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—431no—
1507C4⋊C4—431no—
1508C4⋊C4—431no—
1509C4⋊C4—431no—
1510C4⋊C4—431no—
1511C4⋊C4—431no—
1512C4⋊C4—431no—
1513C4⋊C4—431no—
1514C4⋊C4—431no—
1515C4⋊C4—431no—
1516C4⋊C4—431no—
1517C4⋊C4—431no—
1518C4⋊C4—861no—
1519C4⋊C4—861no—
1520C4⋊C4—861no—
1521C4⋊C4—861no—
1522C4⋊C4—861no—
1523C4⋊C4—861no—
1524C4⋊C4—861no—
1525C4⋊C4—861no—
1526C4⋊C4—861no—
1527C4⋊C4—861no—
1528C4⋊C4—861no—
1529C4⋊C4—861no—
1530C4⋊C4—861no—
1531C4⋊C4—861no—
1532C4⋊C4—861no—
1533C4⋊C4—861no—
1534C4⋊C4—861no—
1535C4⋊C4—861no—
1536C4⋊C4C23×D4311yescharacteristic
1537C4⋊C4C23×D4311yescharacteristic
1538C4⋊C4C23×D4311yescharacteristic
1539C4⋊C4C23×D4311yescharacteristic
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—431no—
1548C22⋊C4—431no—
1549C22⋊C4—431no—
1550C22⋊C4—431no—
1551C22⋊C4—431no—
1552C22⋊C4—431no—
1553C22⋊C4—431no—
1554C22⋊C4—431no—
1555C22⋊C4—431no—
1556C22⋊C4—431no—
1557C22⋊C4—861no—
1558C22⋊C4—861no—
1559C22⋊C4—861no—
1560C22⋊C4—861no—
1561C22⋊C4—861no—
1562C22⋊C4—861no—
1563C22⋊C4—861no—
1564C22⋊C4—861no—
1565C22⋊C4—861no—
1566C22⋊C4—861no—
1567C22⋊C4—861no—
1568C22⋊C4—861no—
1569C22⋊C4—861no—
1570C22⋊C4—861no—
1571C22⋊C4—861no—
1572C22⋊C4—861no—
1573C22⋊C4—861no—
1574C22⋊C4—861no—
1575C22⋊C4—861no—
1576C22⋊C4—861no—
1577C22⋊C4—861no—
1578C22⋊C4—861no—
1579C22⋊C4—861no—
1580C22⋊C4—861no—
1581C22⋊C4—861no—
1582C22⋊C4—861no—
1583C22⋊C4—861no—
1584C42—21no—
1585C42—21no—
1586C42—21no—
1587C42—431no—
1588C42—431no—
1589C42—861no—
1590C42—861no—
1591C42—861no—
1592C42—861no—
1593C42—861no—
1594C42—861no—
1595C42—861no—
1596C42D4×D4311yescharacteristic
1597C42D4×D4311yescharacteristic
1598C42C23×D4311yescharacteristic
1599C42C23×D4311yescharacteristic
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—431no—
1604C23—431no—
1605C23—861no—
1606C23—861no—
1607C23—861no—
1608C23—3441no—
1609C23—3441no—
1610C23—3441no—
1611C23—3441no—
1612C23—3441no—
1613C23—3441no—
1614C23C2×D4×D4311yescharacteristic
1615Q8—21no—
1616Q8—81no—
1617Q8—861no—
1618Q8—861no—
1619Q8—861no—
1620Q8—861no—
1621Q8—861no—
1622Q8—861no—
1623Q8—3441no—
1624Q8—1721no—
1625Q8—1722no—
1626Q8#1306337112yes—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—42no—
1634D4—81no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638D4—861no—
1639D4—861no—
1640D4—861no—
1641D4—861no—
1642D4—861no—
1643D4—861no—
1644D4—3441no—
1645D4—3441no—
1646D4—3441no—
1647D4—3441no—
1648D4—3441no—
1649D4—3441no—
1650D4—3441no—
1651D4—3441no—
1652D4—3441no—
1653D4—3441no—
1654D4—3441no—
1655D4—3441no—
1656D4—3441no—
1657D4—3441no—
1658D4—3441no—
1659D4—3441no—
1660D4—3441no—
1661D4—3441no—
1662D4—3441no—
1663D4—1721no—
1664D4—1722no—
1665D4—1722no—
1666D4—1721no—
1667D4—1721no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—41no—
1676C2×C4—41no—
1677C2×C4—42no—
1678C2×C4—42no—
1679C2×C4—42no—
1680C2×C4—81no—
1681C2×C4—81no—
1682C2×C4—431no—
1683C2×C4—431no—
1684C2×C4—431no—
1685C2×C4—431no—
1686C2×C4—431no—
1687C2×C4—431no—
1688C2×C4—861no—
1689C2×C4—861no—
1690C2×C4—861no—
1691C2×C4—861no—
1692C2×C4—861no—
1693C2×C4—861no—
1694C2×C4—861no—
1695C2×C4—861no—
1696C2×C4—861no—
1697C2×C4—3441no—
1698C2×C4—3441no—
1699C2×C4—3441no—
1700C2×C4—3441no—
1701C2×C4—3441no—
1702C2×C4—3441no—
1703C2×C4—3441no—
1704C2×C4—3441no—
1705C2×C4—3441no—
1706C2×C4—1722no—
1707C2×C4—1722no—
1708C2×C4C2×D4×D4311yescharacteristic
1709C2×C4C2×D4×D4311yescharacteristic
1710C2×C4C2×D4×D4311yescharacteristic
1711C2×C4C2×D4×D4311yescharacteristic
1712C2×C4C2×D4×D4311yescharacteristic
1713C2×C4C24×D4311yescharacteristic
1714C8—21no—
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—861no—
1719C8—861no—
1720C8—861no—
1721C8—861no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—861no—
1735C22—861no—
1736C22—861no—
1737C22—861no—
1738C22—861no—
1739C22—861no—
1740C22—1721no—
1741C22—1721no—
1742C22—1721no—
1743C22—1721no—
1744C22—1721no—
1745C22—1721no—
1746C22—1721no—
1747C22—1721no—
1748C22—1721no—
1749C22—6882no—
1750C22—6882no—
1751C22C22×D4×D4311yescharacteristic
1752C4—21no—
1753C4—21no—
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—22no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—861no—
1763C4—861no—
1764C4—861no—
1765C4—861no—
1766C4—861no—
1767C4—861no—
1768C4—1721no—
1769C4—1721no—
1770C4—1721no—
1771C4—1721no—
1772C4—1721no—
1773C4C2×#1306337111yescharacteristic
1774C4#1458373511yescharacteristic
1775C2—41no—
1776C2—81no—
1777C2—81no—
1778C2—81no—
1779C2—3441no—
1780C2—3441no—
1781C2—3441no—
1782C2—1721no—
1783C2—1721no—
1784C2#1914825611yescharacteristic
1785C2#1914936811yescharacteristic
1786C2#1914937111yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3115C2
socleC22×C43C23×D4
hypercenter#3115D43
hypocenterC43#62026
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3115

Complements

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

NH ≅ G/Ntype
1. #19148967C2semidirect
2. #19148704C2semidirect
3. #19147666C2semidirect
4. #19147638C2semidirect
5. #19147438C2semidirect
6. #19147325C2semidirect
7. #19146749C2semidirect
8. #19146741C2semidirect
9. #19146719C2semidirect
10. #19146576C2semidirect
11. #19146543C2semidirect
12. #19146433C2semidirect
13. #19146348C2semidirect
14. #19146305C2semidirect
15. #19146173C2semidirect
16. #19146152C2semidirect
17. #19146128C2semidirect
18. #19146092C2semidirect
19. #19146055C2semidirect
20. #19146013C2semidirect
21. #19145915C2semidirect
22. #19145686C2semidirect
23. #19145644C2semidirect
24. #19145634C2semidirect
25. #19144879C2semidirect
26. #19144831C2semidirect
27. #19144131C2semidirect
28. #19144111C2semidirect
29. #19144050C2semidirect
30. #19143736C2semidirect
31. C43×#3115C2semidirect
32. C2×#13063354C22semidirect
34. C2×#13063346C22semidirect
35. C2×#13063345C22semidirect
36. C2×#13063345C22semidirect
41. #14583632C22semidirect
42. #14583625C22semidirect
45. #14583612C22semidirect
50. #14583588C22semidirect
52. #14583568C22semidirect
56. #14583556C22semidirect
65. #14583514C22semidirect
67. #14583500C22semidirect
78. #14583433C22semidirect
79. #14583381C22semidirect
80. #14583375C22semidirect
81. #14583293C22semidirect
84. #14583287C22semidirect
86. #14583274C22semidirect
87. #14583268C22semidirect
89. #14583262C22semidirect
92. #14583244C22semidirect
93. #14583243C22semidirect
94. #14583231C22semidirect
97. #14583205C22semidirect
98. #14583202C22semidirect
100. #14583199C22semidirect
101. #14583193C22semidirect
102. #14583191C22semidirect
103. #14583186C22semidirect
104. #14583178C22semidirect
107. #14583146C22semidirect
108. #14583144C22semidirect
109. #14583141C22semidirect
113. #14583133C22semidirect
114. #14583127C22semidirect
116. #14583126C22semidirect
117. #14583122C22semidirect
118. #14583122C22semidirect
119. #14583121C22semidirect
120. #14583121C22semidirect
122. #14583120C22semidirect
125. #14583115C22semidirect
126. #14583115C22semidirect
128. #14583114C22semidirect
129. #14583114C22semidirect
130. #14583114C22semidirect
132. #14583113C22semidirect
133. #14583109C22semidirect
134. #14583104C22semidirect
136. #14583098C22semidirect
137. #14583098C22semidirect
138. #14583097C22semidirect
139. #14583097C22semidirect
142. #14583093C22semidirect
143. #14583093C22semidirect
145. #14583064C22semidirect
146. #14583063C22semidirect
147. #14583063C22semidirect
148. #14583062C22semidirect
149. #14583056C22semidirect
152. #14583046C22semidirect
153. #14583046C22semidirect
154. #14583045C22semidirect
155. #14583041C22semidirect
156. #14583041C22semidirect
161. #14583027C22semidirect
162. #14583027C22semidirect
163. #14583010C22semidirect
164. #14583005C22semidirect
165. #14583003C22semidirect
166. #14583002C22semidirect
167. #14582991C22semidirect
168. #14582986C22semidirect
169. #14582986C22semidirect
170. #14582984C22semidirect
173. #14582967C22semidirect
174. #14582967C22semidirect
175. (C22⋊D43)⋊C8C22semidirect
176. (C22⋊D43)⋊C8C22semidirect
177. #14582959C22semidirect
178. #14582959C22semidirect
179. #14582924C22semidirect
180. #14582924C22semidirect
181. C2×C4⋊(C43⋊C8)C22semidirect
183. #14582897C22semidirect
184. #14582893C22semidirect
185. #14582893C22semidirect
186. #14582892C22semidirect
189. C4×#41×C43C22semidirect
191. C43×#482C22semidirect
192. C43×#475C22semidirect
193. C43×#474C22semidirect
197. C43×#449C22semidirect
199. C43×#442C22semidirect
201. C43×#440C22semidirect
202. C43×#432C22semidirect
908. #3115D43semidirect
975. C4×#41C2×D43semidirect
992. #482C2×D43semidirect
1001. #475C2×D43semidirect
1003. #474C2×D43semidirect
1059. #449C2×D43semidirect
1068. #442C2×D43semidirect
1073. #440C2×D43semidirect
1086. #432C2×D43semidirect
1096. C43#62026semidirect

Maximal subgroups

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

subgroupindex
#191489672
#191487042
#191476662
#191476382
#191474382
#191473252
#191467492
#191467412
#191467192
#191465762
#191465432
#191464332
#191463482
#191463052
#191461732
#191461522
#191461282
#191460922
#191460552
#191460132
#191459152
#191456862
#191456442
#191456342
#191448792
#191448312
#191441312
#191441112
#191440502
#191437362
C43×#31152
#6202643