Finite Group Databasebeta

← #25990371

Subgroups — #25990371

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#19148964C211yesmaximal, characteristic, complemented
2#19148696C211yesmaximal, characteristic, complemented
3#19147657C211yesmaximal, characteristic, complemented
4#19147638C211yesmaximal, characteristic, complemented
5#19147442C211yesmaximal, characteristic, complemented
6#19147322C211yesmaximal, characteristic, complemented
7#19146756C211yesmaximal, characteristic, complemented
8#19146734C211yesmaximal, characteristic, complemented
9#19146724C211yesmaximal, characteristic, complemented
10#19146574C211yesmaximal, characteristic, complemented
11#19146547C211yesmaximal, characteristic, complemented
12#19146428C211yesmaximal, characteristic, complemented
13#19146348C211yesmaximal, characteristic, complemented
14#19146304C211yesmaximal, characteristic, complemented
15#19146182C211yesmaximal, characteristic, complemented
16#19146143C211yesmaximal, characteristic, complemented
17#19146138C211yesmaximal, characteristic, complemented
18#19146093C211yesmaximal, characteristic, complemented
19#19146051C211yesmaximal, characteristic, complemented
20#19146005C211yesmaximal, characteristic, complemented
21#19145923C211yesmaximal, characteristic, complemented
22#19145691C211yesmaximal, characteristic, complemented
23#19145642C211yesmaximal, characteristic, complemented
24#19145631C211yesmaximal, characteristic, complemented
25#19144831C211yesmaximal, characteristic, complemented
26#19144749C211yesmaximal, characteristic, complemented
27#19144134C211yesmaximal, characteristic, complemented
28#19144114C211yesmaximal, characteristic, complemented
29#19144049C211yesmaximal, characteristic, complemented
30#19143729C211yesmaximal, characteristic, complemented
31C43×#3125C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic, complemented
33C2×#13063350C2211yescharacteristic
34C2×#13063348C2211yescharacteristic, complemented
35C2×#13063346C2211yescharacteristic, complemented
36C2×#13063345C2211yescharacteristic, complemented
37C2×SD16×D43C2211yescharacteristic
38#14583640—21no—
39#14583639—21no—
40#14583632—21no—
41#14583632C2211yescharacteristic, complemented
42#14583628C2211yescharacteristic, complemented
43#14583621C2211yescharacteristic
44#14583614—21no—
45#14583614C2211yescharacteristic, complemented
46#14583600—21no—
47#14583597—21no—
48#14583597C2211yescharacteristic
49#14583584—21no—
50#14583584C2211yescharacteristic, complemented
51#14583571C2211yescharacteristic
52#14583570C2211yescharacteristic
53#14583568C2211yescharacteristic, complemented
54#14583567C2211yescharacteristic
55#14583561C2211yescharacteristic, complemented
56#14583556C2211yescharacteristic
57#14583551C2211yescharacteristic
58#14583544C2211yescharacteristic
59#14583541—21no—
60#14583540C2211yescharacteristic
61#14583533C2211yescharacteristic
62#14583523C2211yescharacteristic
63#14583520—21no—
64#14583520C2211yescharacteristic, complemented
65#14583500—21no—
66#14583500C2211yescharacteristic, complemented
67#14583489—21no—
68#14583483—21no—
69#14583479—21no—
70#14583468C2211yescharacteristic
71#14583467—21no—
72#14583467C2211yescharacteristic
73#14583450C2211yescharacteristic
74#14583448C2211yescharacteristic
75#14583431—21no—
76#14583431C2211yescharacteristic, complemented
77#14583427—21no—
78#14583427C2211yescharacteristic
79#14583375C2211yescharacteristic, complemented
80C4×#10621902C2211yescharacteristic, complemented
81#14583290C2211yescharacteristic, complemented
82#14583288C2211yescharacteristic, complemented
83#14583287C2211yescharacteristic
84#14583285C2211yescharacteristic
85#14583283C2211yescharacteristic
86#14583274C2211yescharacteristic, complemented
87#14583266C2211yescharacteristic, complemented
88#14583262C2211yescharacteristic
89#14583262C2211yescharacteristic, complemented
90#14583259C2211yescharacteristic
91#14583255C2211yescharacteristic
92#14583246C2211yescharacteristic, complemented
93#14583243C2211yescharacteristic, complemented
94#14583225C2211yescharacteristic
95#14583225C2211yescharacteristic
96#14583225C2211yescharacteristic, complemented
97#14583209C2211yescharacteristic, complemented
98#14583198C2211yescharacteristic
99#14583198C2211yescharacteristic, complemented
100#14583198C2211yescharacteristic, complemented
101#14583194C2211yescharacteristic, complemented
102#14583191C2211yescharacteristic, complemented
103#14583179C2211yescharacteristic, complemented
104#14583176C2211yescharacteristic, complemented
105#14583153C2211yescharacteristic
106#14583147C2211yescharacteristic, complemented
107#14583144C2211yescharacteristic, complemented
108#14583143C2211yescharacteristic
109#14583138C2211yescharacteristic, complemented
110#14583134C2211yescharacteristic
111#14583134C2211yescharacteristic
112#14583134C2211yescharacteristic, complemented
113#14583133C2211yescharacteristic
114#14583129C2211yescharacteristic
115#14583129C2211yescharacteristic, complemented
116#14583129C2211yescharacteristic, complemented
117#14583124C2211yescharacteristic
118#14583123C2211yescharacteristic
119#14583122C2211yescharacteristic, complemented
120#14583121C2211yescharacteristic
121#14583121C2211yescharacteristic, complemented
122#14583121C2211yescharacteristic, complemented
123#14583118C2211yescharacteristic, complemented
124#14583115C2211yescharacteristic, complemented
125#14583114C2211yescharacteristic
126#14583114C2211yescharacteristic, complemented
127#14583114C2211yescharacteristic, complemented
128#14583113C2211yescharacteristic
129#14583113C2211yescharacteristic, complemented
130#14583111C2211yescharacteristic, complemented
131#14583107C2211yescharacteristic, complemented
132#14583103C2211yescharacteristic, complemented
133#14583100C2211yescharacteristic
134#14583099C2211yescharacteristic
135#14583099C2211yescharacteristic, complemented
136#14583098C2211yescharacteristic, complemented
137#14583098C2211yescharacteristic, complemented
138#14583097C2211yescharacteristic
139#14583097C2211yescharacteristic, complemented
140#14583095C2211yescharacteristic
141#14583094C2211yescharacteristic
142#14583094C2211yescharacteristic, complemented
143#14583093C2211yescharacteristic
144#14583093C2211yescharacteristic, complemented
145#14583064C2211yescharacteristic, complemented
146#14583063C2211yescharacteristic, complemented
147#14583062C2211yescharacteristic, complemented
148#14583056C2211yescharacteristic, complemented
149#14583052C2211yescharacteristic
150#14583047C2211yescharacteristic
151#14583047C2211yescharacteristic, complemented
152#14583047C2211yescharacteristic, complemented
153#14583046C2211yescharacteristic, complemented
154#14583043C2211yescharacteristic, complemented
155#14583043C2211yescharacteristic, complemented
156#14583041C2211yescharacteristic, complemented
157#14583039C2211yescharacteristic
158#14583035C2211yescharacteristic
159#14583034C2211yescharacteristic
160#14583031C2211yescharacteristic
161#14583029C2211yescharacteristic, complemented
162#14583027C2211yescharacteristic, complemented
163#14583010C2211yescharacteristic
164#14583010C2211yescharacteristic, complemented
165#14583005C2211yescharacteristic, complemented
166#14583002C2211yescharacteristic
167#14583002C2211yescharacteristic, complemented
168#14583002C2211yescharacteristic, complemented
169#14582991C2211yescharacteristic, complemented
170#14582986C2211yescharacteristic, complemented
171#14582973C2211yescharacteristic
172#14582973C2211yescharacteristic, complemented
173#14582972C2211yescharacteristic, complemented
174#14582967C2211yescharacteristic
175C8×D172C2211yescharacteristic, complemented
176(C22⋊D43)⋊C8C2211yescharacteristic, complemented
177#14582959C2211yescharacteristic, complemented
178#14582955C2211yescharacteristic, complemented
179#14582926C2211yescharacteristic, complemented
180#14582924C2211yescharacteristic, complemented
181C4⋊C8×D43C2211yescharacteristic, complemented
182#14582902C2211yescharacteristic
183#14582898C2211yescharacteristic, complemented
184#14582894C2211yescharacteristic, complemented
185#14582894C2211yescharacteristic, complemented
186#14582892C2211yescharacteristic, complemented
187C2×#13063245C2211yescharacteristic
188C43×#542C2211yescharacteristic
189C43×#520C2211yescharacteristic, complemented
190C43×#483C2211yescharacteristic, complemented
191C43×#481C2211yescharacteristic
192C43×#476C2211yescharacteristic, complemented
193C43×#475C2211yescharacteristic, complemented
194C43×#464C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic, complemented
196C43×#452C2211yescharacteristic, complemented
197C43×#449C2211yescharacteristic
198C43×#442C2211yescharacteristic, complemented
199C43×#441C2211yescharacteristic, complemented
200C4×SD16×C43C2211yescharacteristic, complemented
201C4×SD16×C43C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621902C2311yescharacteristic
205C2×#10621902C2311yescharacteristic
206C2×#10621902C2311yescharacteristic
207C2×#10621898—21no—
208C2×#10621898C2311yescharacteristic
209C2×#10621900C2311yescharacteristic
210C2×Q8×D43C2311yescharacteristic
211C22×D172C2311yescharacteristic
212C2×D4×D43—21no—
213C2×D4×D43C2311yescharacteristic
214#13063357—42no—
215#13063350—42no—
216#13063348—42no—
217#13063346—42no—
218#13063345—42no—
219C2×Dic172C2311yescharacteristic
220C2×#10621885C2311yescharacteristic
221C2×#10621885C2311yescharacteristic
222C2×#10621873C2311yescharacteristic
223C2×#10621873C2311yescharacteristic
224C2×#10621873C2311yescharacteristic
225C2×#10621873C2311yescharacteristic
226C2×#10621883C2311yescharacteristic
227C2×#10621883C2311yescharacteristic
228C2×#10621884C2311yescharacteristic
229C2×#10621884C2311yescharacteristic
230C2×#10621884C2311yescharacteristic
231C2×#10621884C2311yescharacteristic
232SD16×D43—42no—
233C2×D344C2311yescharacteristic
234C2×D344C2311yescharacteristic
235C2×D344C2311yescharacteristic
236C2×#10621882C2311yescharacteristic
237C2×#10621882C2311yescharacteristic
238C2×#10621882C2311yescharacteristic
239C2×#10621882C2311yescharacteristic
240C2×#10621877C2311yescharacteristic
241C2×#10621872C2311yescharacteristic
242C22×C43⋊C8C2311yescharacteristic
243C2×C8×D43C2311yescharacteristic
244C2×C8×D43C2311yescharacteristic
245C2×C8×D43C2311yescharacteristic
246#13063325—21no—
247#13063325C2311yescharacteristic
248#13063323C2311yescharacteristic
249#13063322—21no—
250#13063322C2311yescharacteristic
251#13063322C2311yescharacteristic
252#13063321—21no—
253#13063321—21no—
254#13063321C2311yescharacteristic
255#13063321C2311yescharacteristic
256#13063321C2311yescharacteristic
257#13063320—21no—
258#13063320—21no—
259#13063320—21no—
260#13063320—21no—
261#13063320—21no—
262#13063320D411yescharacteristic
263#13063319—21no—
264#13063318—21no—
265#13063318D411yescharacteristic
266#13063316—21no—
267#13063316—21no—
268#13063316C2311yescharacteristic
269#13063316C2311yescharacteristic
270#13063315—21no—
271#13063315D411yescharacteristic
272#13063314—21no—
273#13063314—21no—
274#13063314C2311yescharacteristic
275#13063313—21no—
276#13063313C2311yescharacteristic
277#13063313C2311yescharacteristic
278#13063313C2311yescharacteristic
279#13063312—21no—
280#13063312C2311yescharacteristic
281#13063311—21no—
282#13063311—21no—
283#13063311—21no—
284#13063311—21no—
285#13063311D411yescharacteristic
286#13063310—21no—
287#13063310—21no—
288#13063310—21no—
289#13063310—21no—
290#13063310D411yescharacteristic
291#13063309—21no—
292#13063308—21no—
293#13063308—21no—
294#13063308—21no—
295#13063307—21no—
296#13063307—21no—
297#13063307—21no—
298#13063307—21no—
299#13063307—21no—
300#13063307D411yescharacteristic
301#13063305—21no—
302#13063305C2311yescharacteristic
303#13063305C2311yescharacteristic
304#13063304—21no—
305#13063304C2311yescharacteristic
306#13063303—21no—
307#13063303—21no—
308#13063303D411yescharacteristic
309#13063301—21no—
310#13063300—21no—
311#13063300—21no—
312#13063300—21no—
313#13063300—21no—
314#13063300—21no—
315#13063300—21no—
316#13063300—21no—
317#13063300C2311yescharacteristic
318#13063300C2311yescharacteristic
319#13063300C2311yescharacteristic
320#13063300C2311yescharacteristic
321#13063299—21no—
322#13063299—21no—
323#13063299—21no—
324#13063299—21no—
325#13063299—21no—
326#13063299—21no—
327#13063299C2311yescharacteristic
328#13063298—21no—
329#13063298—21no—
330#13063298—21no—
331#13063298—21no—
332#13063298—21no—
333#13063298—21no—
334#13063298—21no—
335#13063298—21no—
336#13063298—21no—
337#13063298—21no—
338#13063298D411yescharacteristic
339#13063297—21no—
340#13063296—21no—
341#13063296—21no—
342#13063296C2311yescharacteristic
343#13063296C2311yescharacteristic
344#13063295—21no—
345#13063295—21no—
346#13063295—21no—
347#13063295—21no—
348#13063295—21no—
349#13063295—21no—
350#13063295—21no—
351#13063293—21no—
352Q8×Dic43C2311yescharacteristic
353Q8×Dic43C2311yescharacteristic
354C4×Dic86—21no—
355C4×Dic86—21no—
356C4×Dic86C2311yescharacteristic
357C4×Dic86C2311yescharacteristic
358#13063290—21no—
359#13063290C2311yescharacteristic
360#13063290C2311yescharacteristic
361C4×D172—21no—
362C4×D172—21no—
363C4×D172—21no—
364C4×D172C2311yescharacteristic
365C4×D172C2311yescharacteristic
366#13063287—21no—
367#13063287—21no—
368#13063287C2311yescharacteristic
369#13063287C2311yescharacteristic
370#13063287C2311yescharacteristic
371#13063287C2311yescharacteristic
372C4×C22⋊D43—21no—
373C4×C22⋊D43—21no—
374C4×C22⋊D43—21no—
375C4×C22⋊D43—21no—
376C4×C22⋊D43—21no—
377C4×C22⋊D43C2311yescharacteristic
378C4×C22⋊D43C2311yescharacteristic
379(C22⋊D43)⋊C4—21no—
380(C22⋊D43)⋊C4—21no—
381(C22⋊D43)⋊C4—21no—
382#13063284—21no—
383#13063284—21no—
384#13063284—21no—
385#13063283—21no—
386#13063283—21no—
387#13063283C2311yescharacteristic
388#13063283C2311yescharacteristic
389#13063282—21no—
390#13063282—21no—
391#13063282C2311yescharacteristic
392C4⋊C4×D43—21no—
393C2×(C2×D43)⋊C4—21no—
394C22⋊C4×D43—21no—
395C42×D43—21no—
396C42×D43C2311yescharacteristic
397#13063258C2311yescharacteristic
398#13063258C2311yescharacteristic
399#13063258C2311yescharacteristic
400#13063258C2311yescharacteristic
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#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063245C2311yescharacteristic
426#13063245C2311yescharacteristic
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
439#13063235C2311yescharacteristic
440C8×Dic43C2311yescharacteristic
441C2×#41×C43C2311yescharacteristic
442C2×Q16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C2×SD16×C43C2311yescharacteristic
445C2×D8×C43C2311yescharacteristic
446C4⋊Q8×C43C2311yescharacteristic
447#126×C43—21no—
448#124×C43—21no—
449#124×C43C2311yescharacteristic
450#123×C43—21no—
451C22⋊Q8×C43—21no—
452C22⋊Q8×C43C2311yescharacteristic
453#121×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×Q8×C43C2311yescharacteristic
456C4×Q8×C43C2311yescharacteristic
457C4×D4×C43—21no—
458C4×D4×C43—21no—
459C4×D4×C43C2311yescharacteristic
460C4×D4×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462#117×C43—21no—
463#117×C43C2311yescharacteristic
464C2×C4⋊C4×C43—21no—
465C2×C4⋊C4×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470C4⋊C8×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478#102×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480C22⋊C8×C43C2311yescharacteristic
481C22⋊C8×C43C2311yescharacteristic
482#97×C43C2311yescharacteristic
483C4×C8×C43C2311yescharacteristic
484C23×D43—21no—
485C23×D43—21no—
486#41×C43—22no—
487#41×C43—41no—
488C2×Q8×C43—21no—
489C2×Q8×C43C2411yescharacteristic
490C2×Q8×C43C2411yescharacteristic
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43C2411yescharacteristic
494C2×D4×C43C2411yescharacteristic
495C22×C4×C43—21no—
496C22×C4×C43—21no—
497C22×C4×C43—21no—
498C22×C4×C43—21no—
499C22×C4×C43—21no—
500C22×C4×C43C2411yescharacteristic
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⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43C2×D411yescharacteristic
514C2×C22⋊D43C2×D411yescharacteristic
515C22×Dic43—21no—
516#10621902—22no—
517#10621902—41no—
518#10621902—41no—
519#10621902—41no—
520#10621902—41no—
521#10621902—41no—
522#10621902—82no—
523Q8×D43—22no—
524Q8×D43—41no—
525#10621900—41no—
526#10621900—41no—
527D4×D43—41no—
528D4×D43—41no—
529D4×D43—82no—
530#10621898—41no—
531#10621898—41no—
532#10621898—82no—
533C2×D172—21no—
534C2×D172—21no—
535C2×D172—21no—
536C2×D172—21no—
537C2×D172—21no—
538C2×D172—21no—
539C2×D172—21no—
540C2×D172—21no—
541C2×D172—21no—
542C2×D172—21no—
543C2×D172—21no—
544C2×D172—21no—
545C2×D172—41no—
546C2×D172—41no—
547C2×D172C2×D411yescharacteristic
548C2×D172C2411yescharacteristic
549C2×D172C2411yescharacteristic
550C2×D172C2411yescharacteristic
551C2×D172C2411yescharacteristic
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43—21no—
555C2×C4×D43—21no—
556C2×C4×D43—21no—
557C2×C4×D43—21no—
558C2×C4×D43—21no—
559C2×C4×D43—21no—
560C2×C4×D43—21no—
561C2×C4×D43—21no—
562C2×C4×D43C2×D411yescharacteristic
563C2×C4×D43C2×D411yescharacteristic
564C2×C4×D43C2411yescharacteristic
565C2×C4×D43C2411yescharacteristic
566C2×Dic86—21no—
567C2×Dic86—21no—
568C2×Dic86C2×D411yescharacteristic
569C2×Dic86C2411yescharacteristic
570C2×Dic86C2411yescharacteristic
571Q16×C43—22no—
572SD16×C43—22no—
573SD16×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×C43—21no—
583C4⋊C4×C43—21no—
584C4⋊C4×C43—21no—
585C4⋊C4×C43C2×D411yescharacteristic
586C4⋊C4×C43C2×D411yescharacteristic
587C4⋊C4×C43C2411yescharacteristic
588C4⋊C4×C43C2411yescharacteristic
589C4⋊C4×C43C2411yescharacteristic
590C4⋊C4×C43C2411yescharacteristic
591C22⋊C4×C43—21no—
592C22⋊C4×C43—21no—
593C22⋊C4×C43—21no—
594C22⋊C4×C43—21no—
595C22⋊C4×C43—21no—
596C22⋊C4×C43—21no—
597C22⋊C4×C43—21no—
598C22⋊C4×C43C2×D411yescharacteristic
599C22⋊C4×C43C2×D411yescharacteristic
600C42×C43—21no—
601C42×C43—21no—
602C42×C43—21no—
603C42×C43C2411yescharacteristic
604C42×C43C2411yescharacteristic
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607C22⋊Dic43—21no—
608C22⋊Dic43—21no—
609C22⋊Dic43—21no—
610C22⋊Dic43C2×D411yescharacteristic
611C22⋊Dic43C2×D411yescharacteristic
612#10621885—22no—
613#10621885—41no—
614#10621884—22no—
615#10621884—22no—
616#10621884—22no—
617#10621884—41no—
618#10621883—41no—
619#10621883—41no—
620#10621882—41no—
621#10621882—41no—
622#10621882—41no—
623#10621882—41no—
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)⋊C4—21no—
642(C2×D43)⋊C4—21no—
643(C2×D43)⋊C4—21no—
644(C2×D43)⋊C4—21no—
645(C2×D43)⋊C4—21no—
646(C2×D43)⋊C4C2×D411yescharacteristic
647(C2×D43)⋊C4C2×D411yescharacteristic
648(C2×D43)⋊C4C2×D411yescharacteristic
649(C2×D43)⋊C4C2×D411yescharacteristic
650(C2×D43)⋊C4C2×D411yescharacteristic
651(C2×D43)⋊C4C2×D411yescharacteristic
652C4⋊Dic43—21no—
653C4⋊Dic43—21no—
654C4⋊Dic43—21no—
655C4⋊Dic43—21no—
656C4⋊Dic43—21no—
657C4⋊Dic43—21no—
658C4⋊Dic43—21no—
659C4⋊Dic43C2×D411yescharacteristic
660C4⋊Dic43C2×D411yescharacteristic
661C4⋊Dic43C2411yescharacteristic
662C4⋊Dic43C2411yescharacteristic
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
677C4×Dic43—21no—
678C4×Dic43—21no—
679C4×Dic43—21no—
680C4×Dic43—21no—
681C4×Dic43—21no—
682C4×Dic43—21no—
683C4×Dic43—21no—
684C4×Dic43C2×D411yescharacteristic
685C4×Dic43C2×D411yescharacteristic
686C4×Dic43C2411yescharacteristic
687C4×Dic43C2411yescharacteristic
688#10621877—41no—
689C2×C43⋊C8—41no—
690C2×C43⋊C8C2411yescharacteristic
691C2×C43⋊C8C2411yescharacteristic
692C2×C43⋊C8C2411yescharacteristic
693C2×C43⋊C8C2411yescharacteristic
694Dic172—41no—
695D344—41no—
696D344—41no—
697D344—41no—
698#10621873—41no—
699#10621873—41no—
700#10621873—41no—
701#10621873—41no—
702#10621872—41no—
703C8×D43—41no—
704C8×D43—41no—
705C8×D43—41no—
706C23×C43—21no—
707C23×C43—21no—
708C23×C43C22×D411yescharacteristic
709C22×D43—21no—
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—21no—
723Q8×C43—21no—
724Q8×C43—81no—
725Q8×C43H(5,𝔽2)12yes—
726D4×C43—21no—
727D4×C43—21no—
728D4×C43—21no—
729D4×C43—21no—
730D4×C43—42no—
731D4×C43—81no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—21no—
737C2×C4×C43—21no—
738C2×C4×C43—21no—
739C2×C4×C43—21no—
740C2×C4×C43—42no—
741C2×C4×C43—81no—
742C2×C4×C43—81no—
743C2×C4×C43—81no—
744C2×C4×C43—81no—
745C2×C4×C43C22×D411yescharacteristic
746C2×C4×C43C22×D411yescharacteristic
747C2×C4×C43C22×D411yescharacteristic
748C2×C4×C43C22×D411yescharacteristic
749C2×C4×C43C22×D411yescharacteristic
750C2×C4×C43C2511yescharacteristic
751C22⋊D43—41no—
752C22⋊D43—41no—
753C22⋊D43—42no—
754C22⋊D43—81no—
755C22⋊D43—81no—
756C22⋊D43—81no—
757C22⋊D43—81no—
758C22⋊D43—81no—
759C22⋊D43—81no—
760C22⋊D43—81no—
761C22⋊D43—81no—
762C22⋊D43—81no—
763C22⋊D43—81no—
764C22⋊D43—81no—
765C2×Dic43—21no—
766C2×Dic43—21no—
767C2×Dic43—21no—
768C2×Dic43—21no—
769C2×Dic43—81no—
770C2×Dic43C22×D411yescharacteristic
771C2×Dic43C22×D411yescharacteristic
772C2×Dic43C22×D411yescharacteristic
773C2×Dic43C22×D411yescharacteristic
774C2×Dic43C22×D411yescharacteristic
775C2×Dic43C22×D411yescharacteristic
776D172—21no—
777D172—21no—
778D172—21no—
779D172—21no—
780D172—21no—
781D172—21no—
782D172—21no—
783D172—21no—
784D172—41no—
785D172—42no—
786D172—81no—
787D172—81no—
788D172—81no—
789D172—81no—
790D172—81no—
791D172—81no—
792D172—81no—
793D172—81no—
794D172—81no—
795D172—81no—
796D172—81no—
797C4×D43—21no—
798C4×D43—21no—
799C4×D43—21no—
800C4×D43—21no—
801C4×D43—41no—
802C4×D43—41no—
803C4×D43—42no—
804C4×D43—42no—
805C4×D43—42no—
806C4×D43—42no—
807C4×D43—81no—
808C4×D43—81no—
809C4×D43—81no—
810C4×D43—81no—
811C4×D43—81no—
812C4×D43—81no—
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×C43C23×D411yescharacteristic
839C2×D43—21no—
840C2×D43—21no—
841C2×D43—21no—
842C2×D43—21no—
843C2×D43—21no—
844C2×D43—21no—
845C2×D43—41no—
846C2×D43—41no—
847C2×D43—41no—
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×C43—41no—
870C4×C43C2×H(5,𝔽2)11yescharacteristic
871C4×C43#58511yescharacteristic
872Dic43—21no—
873Dic43—21no—
874Dic43—21no—
875Dic43—21no—
876Dic43—21no—
877Dic43—21no—
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#3125D4311yescharacteristic, complemented
907#3121—431no—
908#3115—431no—
909#3045—431no—
910#3043—431no—
911#3035—431no—
912#2992—431no—
913C2×C43—41no—
914C2×C43—81no—
915C2×C43—81no—
916C2×C43#348811yescharacteristic
917C2×C43#358411yescharacteristic
918C2×C43#358511yescharacteristic
919D43—41no—
920D43—41no—
921D43—81no—
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—861no—
958#542C2×D4311yescharacteristic
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#532—431no—
969#529—431no—
970#529—431no—
971#529—861no—
972#529—861no—
973#520C2×D4311yescharacteristic, complemented
974#519—431no—
975C4×#41—431no—
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#483C2×D4311yescharacteristic, complemented
990#482—431no—
991#482—431no—
992#482—431no—
993#481C2×D4311yescharacteristic
994#479—431no—
995#478—431no—
996#478—431no—
997#478—431no—
998#477—431no—
999#477—431no—
1000#476C2×D4311yescharacteristic, complemented
1001#475C2×D4311yescharacteristic, complemented
1002#474—431no—
1003#474—431no—
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#464C2×D4311yescharacteristic, complemented
1024#463—431no—
1025#463—431no—
1026#463—431no—
1027#463—431no—
1028#463—431no—
1029#463—431no—
1030#463—431no—
1031#463C2×D4311yescharacteristic, complemented
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#460—431no—
1041#459—431no—
1042#459—431no—
1043#459—431no—
1044#459—431no—
1045#459—431no—
1046#452—431no—
1047#452—431no—
1048#452—431no—
1049#452C2×D4311yescharacteristic, complemented
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#449—431no—
1059#449C2×D4311yescharacteristic
1060#448—431no—
1061#447—431no—
1062#447—431no—
1063#447—431no—
1064#446—431no—
1065#446—431no—
1066#442—431no—
1067#442—431no—
1068#442C2×D4311yescharacteristic, complemented
1069#441—431no—
1070#441C2×D4311yescharacteristic, complemented
1071#440—431no—
1072#440—431no—
1073#440—431no—
1074C4×Q16—431no—
1075C4×SD16—431no—
1076C4×SD16C2×D4311yescharacteristic, complemented
1077C4×SD16C2×D4311yescharacteristic, complemented
1078#435—431no—
1079#435—431no—
1080#435—431no—
1081#435—431no—
1082C8×D4—431no—
1083C8×D4—431no—
1084#433—431no—
1085#433C2×D4311yescharacteristic, complemented
1086#432—431no—
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—431no—
1098C2×#41—431no—
1099C2×#41—431no—
1100C2×#41—431no—
1101C2×#41—431no—
1102C2×#41—861no—
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×Q16C22×D4311yescharacteristic
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×D8—431no—
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—431no—
1154#127—861no—
1155#127—861no—
1156#127—861no—
1157#126—21no—
1158#126—431no—
1159#126—431no—
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—861no—
1181#124—861no—
1182#124—861no—
1183#124—861no—
1184#124—861no—
1185#124—861no—
1186#124—861no—
1187#124—861no—
1188#124C22×D4311yescharacteristic
1189#123—21no—
1190#123—431no—
1191#123—431no—
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—21no—
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⋊Q8C22×D4311yescharacteristic
1216#121—431no—
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#121—861no—
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—861no—
1266C4×Q8—861no—
1267C4×Q8—861no—
1268C4×Q8C22×D4311yescharacteristic
1269C4×Q8C22×D4311yescharacteristic
1270C4×Q8C22×D4311yescharacteristic
1271C4×D4—21no—
1272C4×D4—21no—
1273C4×D4—431no—
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×D4—861no—
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—21no—
1310C2×C4⋊C4—861no—
1311C2×C4⋊C4C22×D4311yescharacteristic
1312C2×C22⋊C4—861no—
1313C2×C22⋊C4—861no—
1314C2×C42—431no—
1315C2×C42—861no—
1316#107—431no—
1317#107—431no—
1318#107—431no—
1319#107—431no—
1320#106C22×D4311yescharacteristic
1321#106C22×D4311yescharacteristic
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#103C22×D4311yescharacteristic
1343#103C22×D4311yescharacteristic
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#102—431no—
1361#102—431no—
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#97—431no—
1375#97C22×D4311yescharacteristic
1376C4×C8—431no—
1377C4×C8C22×D4311yescharacteristic
1378C24—861no—
1379C24—861no—
1380#41—22no—
1381#41—41no—
1382#41—862no—
1383#41—3442no—
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—861no—
1399C2×Q8—861no—
1400C2×Q8—862no—
1401C2×Q8—1721no—
1402C2×Q8C23×D4311yescharacteristic
1403C2×Q8C23×D4311yescharacteristic
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—431no—
1407C2×D4—431no—
1408C2×D4—431no—
1409C2×D4—431no—
1410C2×D4—431no—
1411C2×D4—431no—
1412C2×D4—431no—
1413C2×D4—861no—
1414C2×D4—861no—
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—861no—
1437C2×D4—3442no—
1438C2×D4—1721no—
1439C2×D4—1721no—
1440C2×D4—1721no—
1441C2×D4—1721no—
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—431no—
1452C22×C4—431no—
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×C4—861no—
1463C22×C4—861no—
1464C22×C4C23×D4311yescharacteristic
1465Q16—22no—
1466Q16—862no—
1467Q16—1721no—
1468Q16—1721no—
1469SD16—22no—
1470SD16—41no—
1471SD16—862no—
1472SD16—862no—
1473SD16—862no—
1474SD16—1721no—
1475SD16—1721no—
1476SD16—1721no—
1477SD16—1721no—
1478SD16—1721no—
1479SD16—1721no—
1480SD16—1721no—
1481D8—41no—
1482D8—1721no—
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—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
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—431no—
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⋊C4D4×D4311yescharacteristic
1535C4⋊C4D4×D4311yescharacteristic
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—861no—
1556C22⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1583C22⋊C4D4×D4311yescharacteristic
1584C42—21no—
1585C42—21no—
1586C42—21no—
1587C42—431no—
1588C42—431no—
1589C42—431no—
1590C42—431no—
1591C42—861no—
1592C42—861no—
1593C42—861no—
1594C42—861no—
1595C42—861no—
1596C42—861no—
1597C42—861no—
1598C42C23×D4311yescharacteristic
1599C42C23×D4311yescharacteristic
1600C23—21no—
1601C23—21no—
1602C23—431no—
1603C23—431no—
1604C23—861no—
1605C23—861no—
1606C23—861no—
1607C23—861no—
1608C23—3441no—
1609C23—3441no—
1610C23—3441no—
1611C23—3441no—
1612C23—3441no—
1613C23—3441no—
1614C23C2×D4×D4311yescharacteristic
1615Q8—21no—
1616Q8—21no—
1617Q8—21no—
1618Q8—81no—
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—42no—
1632D4—81no—
1633D4—861no—
1634D4—861no—
1635D4—861no—
1636D4—861no—
1637D4—861no—
1638D4—861no—
1639D4—861no—
1640D4—861no—
1641D4—3441no—
1642D4—3441no—
1643D4—3441no—
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—1721no—
1666D4—1721no—
1667D4—1722no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—42no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—81no—
1681C2×C4—431no—
1682C2×C4—431no—
1683C2×C4—431no—
1684C2×C4—431no—
1685C2×C4—431no—
1686C2×C4—431no—
1687C2×C4—861no—
1688C2×C4—861no—
1689C2×C4—861no—
1690C2×C4—861no—
1691C2×C4—861no—
1692C2×C4—861no—
1693C2×C4—861no—
1694C2×C4—861no—
1695C2×C4—3441no—
1696C2×C4—3441no—
1697C2×C4—3441no—
1698C2×C4—3441no—
1699C2×C4—3441no—
1700C2×C4—3441no—
1701C2×C4—3441no—
1702C2×C4—1721no—
1703C2×C4—1721no—
1704C2×C4—1722no—
1705C2×C4—1722no—
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—861no—
1732C22—861no—
1733C22—861no—
1734C22—861no—
1735C22—861no—
1736C22—861no—
1737C22—1721no—
1738C22—1721no—
1739C22—1721no—
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—41no—
1763C4—861no—
1764C4—861no—
1765C4—861no—
1766C4—861no—
1767C4—861no—
1768C4—861no—
1769C4—1721no—
1770C4—1721no—
1771C4—1721no—
1772C4—1721no—
1773C4C2×#1306337111yescharacteristic
1774C4#1458373511yescharacteristic
1775C2—41no—
1776C2—81no—
1777C2—81no—
1778C2—3441no—
1779C2—3441no—
1780C2—3441no—
1781C2—3441no—
1782C2—1721no—
1783C2—1721no—
1784C2#1914825611yescharacteristic
1785C2#1914936711yescharacteristic
1786C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3125C2
socleC22×C43C23×D4
hypercenter#3125D43
hypocenterC43#62026
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3125

Complements

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

NH ≅ G/Ntype
1. #19148964C2semidirect
2. #19148696C2semidirect
3. #19147657C2semidirect
4. #19147638C2semidirect
5. #19147442C2semidirect
6. #19147322C2semidirect
7. #19146756C2semidirect
8. #19146734C2semidirect
9. #19146724C2semidirect
10. #19146574C2semidirect
11. #19146547C2semidirect
12. #19146428C2semidirect
13. #19146348C2semidirect
14. #19146304C2semidirect
15. #19146182C2semidirect
16. #19146143C2semidirect
17. #19146138C2semidirect
18. #19146093C2semidirect
19. #19146051C2semidirect
20. #19146005C2semidirect
21. #19145923C2semidirect
22. #19145691C2semidirect
23. #19145642C2semidirect
24. #19145631C2semidirect
25. #19144831C2semidirect
26. #19144749C2semidirect
27. #19144134C2semidirect
28. #19144114C2semidirect
29. #19144049C2semidirect
30. #19143729C2semidirect
31. C43×#3125C2semidirect
32. C2×#13063357C22semidirect
34. C2×#13063348C22semidirect
35. C2×#13063346C22semidirect
36. C2×#13063345C22semidirect
41. #14583632C22semidirect
42. #14583628C22semidirect
45. #14583614C22semidirect
50. #14583584C22semidirect
53. #14583568C22semidirect
55. #14583561C22semidirect
64. #14583520C22semidirect
66. #14583500C22semidirect
76. #14583431C22semidirect
79. #14583375C22semidirect
80. C4×#10621902C22semidirect
81. #14583290C22semidirect
82. #14583288C22semidirect
86. #14583274C22semidirect
87. #14583266C22semidirect
89. #14583262C22semidirect
92. #14583246C22semidirect
93. #14583243C22semidirect
96. #14583225C22semidirect
97. #14583209C22semidirect
99. #14583198C22semidirect
100. #14583198C22semidirect
101. #14583194C22semidirect
102. #14583191C22semidirect
103. #14583179C22semidirect
104. #14583176C22semidirect
106. #14583147C22semidirect
107. #14583144C22semidirect
109. #14583138C22semidirect
112. #14583134C22semidirect
115. #14583129C22semidirect
116. #14583129C22semidirect
119. #14583122C22semidirect
121. #14583121C22semidirect
122. #14583121C22semidirect
123. #14583118C22semidirect
124. #14583115C22semidirect
126. #14583114C22semidirect
127. #14583114C22semidirect
129. #14583113C22semidirect
130. #14583111C22semidirect
131. #14583107C22semidirect
132. #14583103C22semidirect
135. #14583099C22semidirect
136. #14583098C22semidirect
137. #14583098C22semidirect
139. #14583097C22semidirect
142. #14583094C22semidirect
144. #14583093C22semidirect
145. #14583064C22semidirect
146. #14583063C22semidirect
147. #14583062C22semidirect
148. #14583056C22semidirect
151. #14583047C22semidirect
152. #14583047C22semidirect
153. #14583046C22semidirect
154. #14583043C22semidirect
155. #14583043C22semidirect
156. #14583041C22semidirect
161. #14583029C22semidirect
162. #14583027C22semidirect
164. #14583010C22semidirect
165. #14583005C22semidirect
167. #14583002C22semidirect
168. #14583002C22semidirect
169. #14582991C22semidirect
170. #14582986C22semidirect
172. #14582973C22semidirect
173. #14582972C22semidirect
175. C8×D172C22semidirect
176. (C22⋊D43)⋊C8C22semidirect
177. #14582959C22semidirect
178. #14582955C22semidirect
179. #14582926C22semidirect
180. #14582924C22semidirect
181. C4⋊C8×D43C22semidirect
183. #14582898C22semidirect
184. #14582894C22semidirect
185. #14582894C22semidirect
186. #14582892C22semidirect
189. C43×#520C22semidirect
190. C43×#483C22semidirect
192. C43×#476C22semidirect
193. C43×#475C22semidirect
194. C43×#464C22semidirect
195. C43×#463C22semidirect
196. C43×#452C22semidirect
198. C43×#442C22semidirect
199. C43×#441C22semidirect
200. C4×SD16×C43C22semidirect
201. C4×SD16×C43C22semidirect
202. C43×#433C22semidirect
906. #3125D43semidirect
973. #520C2×D43semidirect
989. #483C2×D43semidirect
1000. #476C2×D43semidirect
1001. #475C2×D43semidirect
1023. #464C2×D43semidirect
1031. #463C2×D43semidirect
1049. #452C2×D43semidirect
1068. #442C2×D43semidirect
1070. #441C2×D43semidirect
1076. C4×SD16C2×D43semidirect
1077. C4×SD16C2×D43semidirect
1085. #433C2×D43semidirect
1096. C43#62026semidirect

Maximal subgroups

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

subgroupindex
#191489642
#191486962
#191476572
#191476382
#191474422
#191473222
#191467562
#191467342
#191467242
#191465742
#191465472
#191464282
#191463482
#191463042
#191461822
#191461432
#191461382
#191460932
#191460512
#191460052
#191459232
#191456912
#191456422
#191456312
#191448312
#191447492
#191441342
#191441142
#191440492
#191437292
C43×#31252
#6202643