Finite Group Databasebeta

← #25988645

Subgroups — #25988645

Order 11008.

1650 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149087C211yesmaximal, characteristic, complemented
2#19148485C211yesmaximal, characteristic
3#19147652C211yesmaximal, characteristic, complemented
4#19147645C211yesmaximal, characteristic, complemented
5#19147644C211yesmaximal, characteristic, complemented
6#19147643C211yesmaximal, characteristic, complemented
7#19147631C211yesmaximal, characteristic, complemented
8#19147623C211yesmaximal, characteristic, complemented
9#19147621C211yesmaximal, characteristic, complemented
10#19147442C211yesmaximal, characteristic, complemented
11#19147441C211yesmaximal, characteristic, complemented
12#19147431C211yesmaximal, characteristic, complemented
13#19147430C211yesmaximal, characteristic, complemented
14#19147365C211yesmaximal, characteristic, complemented
15#19147364C211yesmaximal, characteristic, complemented
16#19147360C211yesmaximal, characteristic, complemented
17#19147359C211yesmaximal, characteristic, complemented
18#19145677C211yesmaximal, characteristic, complemented
19#19145671C211yesmaximal, characteristic, complemented
20#19145664C211yesmaximal, characteristic
21#19145662C211yesmaximal, characteristic
22#19145596C211yesmaximal, characteristic, complemented
23#19145593C211yesmaximal, characteristic, complemented
24#19144894C211yesmaximal, characteristic, complemented
25#19144893C211yesmaximal, characteristic, complemented
26#19144845C211yesmaximal, characteristic, complemented
27#19144844C211yesmaximal, characteristic, complemented
28#19144756C211yesmaximal, characteristic, complemented
29#19144755C211yesmaximal, characteristic, complemented
30#19143698C211yesmaximal, characteristic, complemented
31C43×#3398C211yesmaximal, characteristic, complemented
32C43⋊#564—21no—
33C43⋊#564—21no—
34#14583634C2211yescharacteristic
35#14583634C2211yescharacteristic
36#14583632C2211yescharacteristic
37#14583631C2211yescharacteristic
38#14583628C2211yescharacteristic, complemented
39#14583627—21no—
40#14583627C2211yescharacteristic, complemented
41#14583626—21no—
42#14583625C2211yescharacteristic, complemented
43#14583625C2211yescharacteristic, complemented
44#14583624C2211yescharacteristic, complemented
45#14583624C2211yescharacteristic, complemented
46#14583624C2211yescharacteristic, complemented
47#14583623C2211yescharacteristic
48#14583621C2211yescharacteristic
49#14583618C2211yescharacteristic
50#14583576—21no—
51#14583574—21no—
52#14583574—21no—
53#14583573—21no—
54#14583519—21no—
55#14583515—21no—
56#14583512—21no—
57#14583510C2211yescharacteristic
58#14583510C2211yescharacteristic
59#14583508—21no—
60#14583508—21no—
61#14583507—21no—
62#14583507C2211yescharacteristic
63#14583507C2211yescharacteristic
64#14583474C2211yescharacteristic
65#14583467C2211yescharacteristic
66#14583454C2211yescharacteristic
67#14583453C2211yescharacteristic
68#14583453C2211yescharacteristic
69#14583432—21no—
70#14583427—21no—
71#124×D43C2211yescharacteristic
72#14583375C2211yescharacteristic
73#14583371C2211yescharacteristic
74C4×#10621902C2211yescharacteristic
75#14583292C2211yescharacteristic
76#14583292C2211yescharacteristic
77#14583292C2211yescharacteristic, complemented
78#14583291C2211yescharacteristic
79#14583291C2211yescharacteristic, complemented
80#14583290C2211yescharacteristic
81#14583277C2211yescharacteristic, complemented
82#14583273C2211yescharacteristic
83#14583270C2211yescharacteristic
84#14583267C2211yescharacteristic, complemented
85#14583266C2211yescharacteristic, complemented
86#14583264C2211yescharacteristic
87#14583262C2211yescharacteristic
88#14583260C2211yescharacteristic
89#14583259C2211yescharacteristic
90#14583258C2211yescharacteristic
91#14583257C2211yescharacteristic
92#14583255C2211yescharacteristic
93#14583255C2211yescharacteristic, complemented
94#14583254C2211yescharacteristic, complemented
95#14583253C2211yescharacteristic
96#14583243C2211yescharacteristic
97#14583239C2211yescharacteristic
98#14583238C2211yescharacteristic
99#14583238C2211yescharacteristic
100#14583209C2211yescharacteristic, complemented
101#14583207C2211yescharacteristic, complemented
102#14583206C2211yescharacteristic, complemented
103#14583204C2211yescharacteristic, complemented
104#14583201C2211yescharacteristic
105#14583200C2211yescharacteristic
106#14583199C2211yescharacteristic
107#14583198C2211yescharacteristic
108#14583194C2211yescharacteristic, complemented
109#14583192C2211yescharacteristic, complemented
110#14583190C2211yescharacteristic, complemented
111#14583188C2211yescharacteristic, complemented
112#14583123C2211yescharacteristic
113#14583123C2211yescharacteristic
114#14583123C2211yescharacteristic
115#14583123C2211yescharacteristic
116#14583123C2211yescharacteristic, complemented
117#14583123C2211yescharacteristic, complemented
118#14583122C2211yescharacteristic
119#14583122C2211yescharacteristic, complemented
120#14583121C2211yescharacteristic
121#14583121C2211yescharacteristic, complemented
122#14583119C2211yescharacteristic
123#14583119C2211yescharacteristic
124#14583118C2211yescharacteristic
125#14583118C2211yescharacteristic
126#14583108C2211yescharacteristic, complemented
127#14583107C2211yescharacteristic, complemented
128#14583107C2211yescharacteristic, complemented
129#14583107C2211yescharacteristic, complemented
130#14583107C2211yescharacteristic, complemented
131#14583106C2211yescharacteristic, complemented
132#14583106C2211yescharacteristic, complemented
133#14583103C2211yescharacteristic
134#14583103C2211yescharacteristic, complemented
135#14583102C2211yescharacteristic
136#14583101C2211yescharacteristic
137#14583101C2211yescharacteristic, complemented
138#14583100C2211yescharacteristic
139#14583099C2211yescharacteristic
140#14583097C2211yescharacteristic
141#14583097C2211yescharacteristic
142#14583064C2211yescharacteristic
143#14583060C2211yescharacteristic
144#14583060C2211yescharacteristic
145#14583060C2211yescharacteristic
146#14583056C2211yescharacteristic
147#14583053C2211yescharacteristic
148#14583053C2211yescharacteristic
149#14583053C2211yescharacteristic
150#14583051C2211yescharacteristic
151#14583048C2211yescharacteristic
152#14583048C2211yescharacteristic
153#14583048C2211yescharacteristic
154#14583030C2211yescharacteristic, complemented
155#14583029C2211yescharacteristic, complemented
156#14583028C2211yescharacteristic, complemented
157#14583028C2211yescharacteristic, complemented
158#14583027C2211yescharacteristic, complemented
159#14583027C2211yescharacteristic, complemented
160#14583026C2211yescharacteristic, complemented
161#14583007C2211yescharacteristic, complemented
162#14583006C2211yescharacteristic, complemented
163#14583006C2211yescharacteristic, complemented
164#14583006C2211yescharacteristic, complemented
165#14583004C2211yescharacteristic, complemented
166#14583003C2211yescharacteristic, complemented
167#14583002C2211yescharacteristic
168#14583002C2211yescharacteristic, complemented
169#14583002C2211yescharacteristic, complemented
170#14583001C2211yescharacteristic, complemented
171#14583000C2211yescharacteristic
172#14582999C2211yescharacteristic
173#14582997C2211yescharacteristic
174#14582997C2211yescharacteristic, complemented
175Q16×Dic43C2211yescharacteristic, complemented
176C4×#10621885C2211yescharacteristic, complemented
177C4×#10621885C2211yescharacteristic, complemented
178#14582991C2211yescharacteristic, complemented
179C4×#10621873C2211yescharacteristic
180SD16×Dic43C2211yescharacteristic
181#14582984C2211yescharacteristic
182#14582961C2211yescharacteristic
183#14582959C2211yescharacteristic
184#14582959C2211yescharacteristic
185#14582958C2211yescharacteristic
186#14582955C2211yescharacteristic
187#14582954C2211yescharacteristic
188C43×#557C2211yescharacteristic, complemented
189C43×#556C2211yescharacteristic
190C43×#497C2211yescharacteristic
191C43×#497C2211yescharacteristic
192C43×#494C2211yescharacteristic, complemented
193C43×#464C2211yescharacteristic
194C43×#464C2211yescharacteristic
195C43×#462C2211yescharacteristic, complemented
196C43×#462C2211yescharacteristic, complemented
197C43×#462C2211yescharacteristic, complemented
198C43×#461C2211yescharacteristic
199C43×#446C2211yescharacteristic, complemented
200C43×#441C2211yescharacteristic, complemented
201C43×#441C2211yescharacteristic, complemented
202C4×SD16×C43C2211yescharacteristic
203C2×#10621902C2311yescharacteristic
204C2×Q8×D43C2311yescharacteristic
205C2×D4×D43C2311yescharacteristic
206C2×Dic172C2311yescharacteristic
207C2×#10621885C2311yescharacteristic
208C2×#10621885C2311yescharacteristic
209C2×#10621885C2311yescharacteristic
210C2×#10621885C2311yescharacteristic
211C2×#10621885C2311yescharacteristic
212C2×#10621873C2311yescharacteristic
213C2×#10621873C2311yescharacteristic
214C2×#10621883C2311yescharacteristic
215C2×#10621884C2311yescharacteristic
216C2×#10621884C2311yescharacteristic
217C2×#10621884C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221#13063325—21no—
222#13063325C2311yescharacteristic
223#13063324—21no—
224#13063324—21no—
225#13063324D411yescharacteristic
226#13063324C2311yescharacteristic
227#13063323—21no—
228#13063323D411yescharacteristic
229#13063323C2311yescharacteristic
230#13063323C2311yescharacteristic
231#13063323C2311yescharacteristic
232#13063323C2311yescharacteristic
233#13063322C2311yescharacteristic
234#13063321C2311yescharacteristic
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063320—21no—
241#13063320—21no—
242#13063320—21no—
243#13063320—21no—
244#13063319—21no—
245#13063319—21no—
246#13063319—21no—
247#13063318—21no—
248#13063318—21no—
249#13063317—21no—
250#13063317—21no—
251#13063317—21no—
252#13063317—21no—
253#13063317C2311yescharacteristic
254#13063317C2311yescharacteristic
255#13063316—21no—
256#13063316—21no—
257#13063316—21no—
258#13063316—21no—
259#13063316—21no—
260#13063316—21no—
261#13063316—21no—
262#13063316—21no—
263#13063316C2311yescharacteristic
264#13063316C2311yescharacteristic
265#13063315—21no—
266#13063315—21no—
267#13063315—21no—
268#13063315—21no—
269#13063315—21no—
270#13063315—21no—
271#13063315—21no—
272#13063315—21no—
273#13063315—21no—
274#13063315—21no—
275#13063315—21no—
276#13063315—21no—
277#13063315—21no—
278#13063315—21no—
279#13063315—21no—
280#13063315D411yescharacteristic
281#13063315D411yescharacteristic
282#13063314—21no—
283#13063314C2311yescharacteristic
284#13063314C2311yescharacteristic
285#13063314C2311yescharacteristic
286#13063313—21no—
287#13063313C2311yescharacteristic
288#13063313C2311yescharacteristic
289#13063312C2311yescharacteristic
290#13063311—21no—
291#13063311—21no—
292#13063311—21no—
293#13063311—21no—
294#13063310—21no—
295#13063310—21no—
296#13063310—21no—
297#13063310—21no—
298#13063310—21no—
299#13063310—21no—
300#13063309—21no—
301#13063308—21no—
302#13063307—21no—
303#13063307—21no—
304#13063305—21no—
305#13063305—21no—
306#13063305D411yescharacteristic
307#13063305C2311yescharacteristic
308#13063303—21no—
309#13063303—21no—
310#13063303—21no—
311#13063303—21no—
312#13063303D411yescharacteristic
313#13063303D411yescharacteristic
314#13063302—21no—
315#13063301D411yescharacteristic
316#13063301C2311yescharacteristic
317#13063301C2311yescharacteristic
318#13063301C2311yescharacteristic
319#13063298—21no—
320#13063298—21no—
321#13063295—21no—
322#13063295—21no—
323Q8×Dic43C2311yescharacteristic
324Q8×Dic43C2311yescharacteristic
325Q8×Dic43C2311yescharacteristic
326Q8×Dic43C2311yescharacteristic
327Q8×Dic43C2311yescharacteristic
328Q8×Dic43C2311yescharacteristic
329Q8×Dic43C2311yescharacteristic
330Q8×Dic43C2311yescharacteristic
331C4×Dic86—21no—
332C4×Dic86—21no—
333C4×Dic86—21no—
334C4×Dic86—21no—
335C4×Dic86—21no—
336C4×Dic86C2311yescharacteristic
337C4×Dic86C2311yescharacteristic
338C4×Dic86C2311yescharacteristic
339C4×Dic86C2311yescharacteristic
340C4×Dic86C2311yescharacteristic
341C4×Dic86C2311yescharacteristic
342C4×Dic86C2311yescharacteristic
343#13063290—21no—
344#13063290—21no—
345#13063290—21no—
346#13063290—21no—
347#13063290—21no—
348#13063290—21no—
349#13063290C2311yescharacteristic
350C4×D172—21no—
351C4×D172—21no—
352C4×D172C2311yescharacteristic
353C4×D172C2311yescharacteristic
354D4×Dic43C2311yescharacteristic
355#13063287—21no—
356#13063287—21no—
357#13063287C2311yescharacteristic
358#13063287C2311yescharacteristic
359C4×C22⋊D43—21no—
360C4×C22⋊D43—21no—
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363#13063283—21no—
364#13063283—21no—
365#13063283—21no—
366#13063283—21no—
367#13063283C2311yescharacteristic
368#13063282—21no—
369#13063282—21no—
370#13063282—21no—
371#13063282C2311yescharacteristic
372#13063282C2311yescharacteristic
373#13063281—21no—
374C2×(C2×D43)⋊C4—21no—
375C22⋊C4×D43—21no—
376C22⋊C4×D43—21no—
377C22⋊C4×D43—21no—
378C42×D43—21no—
379C42×D43C2311yescharacteristic
380#13063259C2311yescharacteristic
381#13063258C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063257C2311yescharacteristic
385#13063257C2311yescharacteristic
386#13063256C2311yescharacteristic
387C4⋊(C43⋊C8)C2311yescharacteristic
388C4⋊(C43⋊C8)C2311yescharacteristic
389C4⋊(C43⋊C8)C2311yescharacteristic
390Dic43⋊C8C2311yescharacteristic
391Dic43⋊C8C2311yescharacteristic
392Dic43⋊C8C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396#13063250C2311yescharacteristic
397#13063250C2311yescharacteristic
398#13063250C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063249C2311yescharacteristic
401#13063249C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422(C2×D43)⋊C8C2311yescharacteristic
423(C2×D43)⋊C8C2311yescharacteristic
424(C2×D43)⋊C8C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426#13063236C2311yescharacteristic
427#13063236C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×Q16×C43C2311yescharacteristic
436C2×Q16×C43C2311yescharacteristic
437C2×Q16×C43C2311yescharacteristic
438C2×Q16×C43C2311yescharacteristic
439C2×Q16×C43C2311yescharacteristic
440C2×Q16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C4⋊Q8×C43C2311yescharacteristic
445C4⋊Q8×C43C2311yescharacteristic
446C4⋊Q8×C43C2311yescharacteristic
447C4⋊Q8×C43C2311yescharacteristic
448#126×C43—21no—
449#126×C43—21no—
450#125×C43—21no—
451#125×C43—21no—
452#125×C43—21no—
453#124×C43C2311yescharacteristic
454#124×C43C2311yescharacteristic
455C22⋊Q8×C43—21no—
456C4×Q8×C43—21no—
457C4×Q8×C43C2311yescharacteristic
458C4×Q8×C43C2311yescharacteristic
459C4×Q8×C43C2311yescharacteristic
460C4×Q8×C43C2311yescharacteristic
461C4×Q8×C43C2311yescharacteristic
462C4×Q8×C43C2311yescharacteristic
463C4×D4×C43C2311yescharacteristic
464#117×C43—21no—
465#106×C43C2311yescharacteristic
466C4⋊C8×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468C4⋊C8×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#97×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C23×D43—21no—
479C2×Q8×C43C2×D411yescharacteristic
480C2×Q8×C43C2411yescharacteristic
481C2×Q8×C43C2411yescharacteristic
482C2×Q8×C43C2411yescharacteristic
483C2×Q8×C43C2411yescharacteristic
484C2×Q8×C43C2411yescharacteristic
485C2×D4×C43C2411yescharacteristic
486C22×C4×C43—21no—
487C2×C22⋊D43—21no—
488C2×C22⋊D43—21no—
489C2×C22⋊D43—21no—
490C22×Dic43—21no—
491#10621902—41no—
492#10621902—41no—
493Q8×D43—41no—
494Q8×D43—41no—
495D4×D43—41no—
496D4×D43—41no—
497C2×D172—21no—
498C2×D172—21no—
499C2×D172—21no—
500C2×D172C2411yescharacteristic
501C2×D172C2411yescharacteristic
502C2×C4×D43—21no—
503C2×C4×D43—21no—
504C2×C4×D43—21no—
505C2×C4×D43—21no—
506C2×C4×D43—21no—
507C2×C4×D43—21no—
508C2×C4×D43C2×D411yescharacteristic
509C2×C4×D43C2×D411yescharacteristic
510C2×C4×D43C2411yescharacteristic
511C2×Dic86—21no—
512C2×Dic86—21no—
513C2×Dic86—21no—
514C2×Dic86C2×D411yescharacteristic
515C2×Dic86C2×D411yescharacteristic
516C2×Dic86C2×D411yescharacteristic
517C2×Dic86C2411yescharacteristic
518C2×Dic86C2411yescharacteristic
519Q16×C43—41no—
520Q16×C43—41no—
521Q16×C43—41no—
522Q16×C43—41no—
523Q16×C43—41no—
524Q16×C43—41no—
525SD16×C43—41no—
526SD16×C43—41no—
527SD16×C43—41no—
528C2×C8×C43C2411yescharacteristic
529C2×C8×C43C2411yescharacteristic
530C2×C8×C43C2411yescharacteristic
531C2×C8×C43C2411yescharacteristic
532C4⋊C4×C43—21no—
533C4⋊C4×C43—21no—
534C4⋊C4×C43—21no—
535C4⋊C4×C43—21no—
536C4⋊C4×C43—21no—
537C4⋊C4×C43—21no—
538C4⋊C4×C43—21no—
539C4⋊C4×C43—21no—
540C4⋊C4×C43—21no—
541C4⋊C4×C43—21no—
542C4⋊C4×C43—21no—
543C4⋊C4×C43—21no—
544C4⋊C4×C43—21no—
545C4⋊C4×C43C2×D411yescharacteristic
546C4⋊C4×C43C2×D411yescharacteristic
547C4⋊C4×C43C2×D411yescharacteristic
548C4⋊C4×C43C2411yescharacteristic
549C4⋊C4×C43C2411yescharacteristic
550C22⋊C4×C43—21no—
551C22⋊C4×C43—21no—
552C22⋊C4×C43—21no—
553C22⋊C4×C43—21no—
554C22⋊C4×C43—21no—
555C42×C43—21no—
556C42×C43—21no—
557C42×C43—21no—
558C42×C43—21no—
559C42×C43—21no—
560C42×C43C2411yescharacteristic
561C42×C43C2411yescharacteristic
562C42×C43C2411yescharacteristic
563C22⋊Dic43—21no—
564C22⋊Dic43—21no—
565C22⋊Dic43—21no—
566#10621885—41no—
567#10621885—41no—
568#10621885—41no—
569#10621885—41no—
570#10621885—41no—
571#10621884—41no—
572#10621884—41no—
573#10621884—41no—
574#10621884—41no—
575#10621884—41no—
576#10621884—41no—
577#10621883—41no—
578(C2×D43)⋊C4—21no—
579(C2×D43)⋊C4—21no—
580(C2×D43)⋊C4—21no—
581(C2×D43)⋊C4—21no—
582(C2×D43)⋊C4—21no—
583(C2×D43)⋊C4—21no—
584(C2×D43)⋊C4—21no—
585(C2×D43)⋊C4—21no—
586(C2×D43)⋊C4—21no—
587(C2×D43)⋊C4—21no—
588(C2×D43)⋊C4—21no—
589(C2×D43)⋊C4—21no—
590(C2×D43)⋊C4—21no—
591(C2×D43)⋊C4—21no—
592(C2×D43)⋊C4—21no—
593(C2×D43)⋊C4—21no—
594(C2×D43)⋊C4—21no—
595(C2×D43)⋊C4—21no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4C2×D411yescharacteristic
598(C2×D43)⋊C4C2×D411yescharacteristic
599(C2×D43)⋊C4C2×D411yescharacteristic
600(C2×D43)⋊C4C2×D411yescharacteristic
601C4⋊Dic43—21no—
602C4⋊Dic43—21no—
603C4⋊Dic43—21no—
604C4⋊Dic43—21no—
605C4⋊Dic43—21no—
606C4⋊Dic43—21no—
607C4⋊Dic43—21no—
608C4⋊Dic43—21no—
609C4⋊Dic43—21no—
610C4⋊Dic43—21no—
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
613C4⋊Dic43C2×D411yescharacteristic
614C4⋊Dic43C2×D411yescharacteristic
615C4⋊Dic43C2×D411yescharacteristic
616C4⋊Dic43C2411yescharacteristic
617C4⋊Dic43C2411yescharacteristic
618C4⋊Dic43C2411yescharacteristic
619C4⋊Dic43C2411yescharacteristic
620Dic43⋊C4—21no—
621Dic43⋊C4—21no—
622Dic43⋊C4—21no—
623Dic43⋊C4—21no—
624Dic43⋊C4—21no—
625Dic43⋊C4—21no—
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4C2×D411yescharacteristic
644Dic43⋊C4C2×D411yescharacteristic
645Dic43⋊C4C2×D411yescharacteristic
646Dic43⋊C4C2×D411yescharacteristic
647Dic43⋊C4C2×D411yescharacteristic
648Dic43⋊C4C2×D411yescharacteristic
649Dic43⋊C4C2×D411yescharacteristic
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652Dic43⋊C4C2×D411yescharacteristic
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43—21no—
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43C2×D411yescharacteristic
668C4×Dic43C2×D411yescharacteristic
669C4×Dic43C2411yescharacteristic
670C4×Dic43C2411yescharacteristic
671C4×Dic43C2411yescharacteristic
672C2×C43⋊C8C2411yescharacteristic
673C2×C43⋊C8C2411yescharacteristic
674C2×C43⋊C8C2411yescharacteristic
675C2×C43⋊C8C2411yescharacteristic
676Dic172—41no—
677#10621873—41no—
678#10621873—41no—
679C23×C43—21no—
680C22×D43—21no—
681C22×D43—21no—
682C22×D43—42no—
683C22×D43—81no—
684C22×D43—81no—
685C22×D43C22×D411yescharacteristic
686Q8×C43—21no—
687Q8×C43—21no—
688Q8×C43—21no—
689Q8×C43—21no—
690Q8×C43—21no—
691Q8×C43—21no—
692Q8×C43—21no—
693Q8×C43—21no—
694Q8×C43—21no—
695Q8×C43—21no—
696Q8×C43—41no—
697D4×C43—21no—
698D4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—81no—
707C2×C4×C43C22×D411yescharacteristic
708C2×C4×C43C22×D411yescharacteristic
709C2×C4×C43C22×D411yescharacteristic
710C2×C4×C43C22×D411yescharacteristic
711C2×C4×C43C22×D411yescharacteristic
712C2×C4×C43C22×D411yescharacteristic
713C2×C4×C43C2511yescharacteristic
714C22⋊D43—42no—
715C22⋊D43—81no—
716C22⋊D43—81no—
717C2×Dic43—21no—
718C2×Dic43—21no—
719C2×Dic43—21no—
720C2×Dic43—21no—
721C2×Dic43—21no—
722C2×Dic43—21no—
723C2×Dic43—81no—
724C2×Dic43C22×D411yescharacteristic
725C2×Dic43C22×D411yescharacteristic
726C2×Dic43C22×D411yescharacteristic
727C2×Dic43C22×D411yescharacteristic
728C2×Dic43C22×D411yescharacteristic
729C2×Dic43C22×D411yescharacteristic
730C2×Dic43C22×D411yescharacteristic
731D172—21no—
732D172—21no—
733D172—21no—
734D172—21no—
735D172—42no—
736D172—81no—
737D172—81no—
738C4×D43—21no—
739C4×D43—21no—
740C4×D43—41no—
741C4×D43—41no—
742C4×D43—42no—
743C4×D43—42no—
744C4×D43—81no—
745C4×D43—81no—
746C4×D43—81no—
747C4×D43—81no—
748Dic86—21no—
749Dic86—21no—
750Dic86—21no—
751Dic86—21no—
752Dic86—41no—
753Dic86—41no—
754Dic86—41no—
755Dic86—42no—
756Dic86—42no—
757Dic86—42no—
758C8×C43—21no—
759C8×C43—21no—
760C8×C43—21no—
761C8×C43—21no—
762C43⋊C8—21no—
763C43⋊C8—21no—
764C43⋊C8—21no—
765C43⋊C8—21no—
766#61943—431nomaximal, Sylow
767C22×C43—41no—
768C22×C43—41no—
769C22×C43—41no—
770C22×C43C23×D411yescharacteristic
771C2×D43—21no—
772C2×D43—21no—
773C2×D43—21no—
774C2×D43—41no—
775C2×D43—41no—
776C2×D43—41no—
777C2×D43—41no—
778C2×D43—41no—
779C2×D43—41no—
780C2×D43—162no—
781C4×C43—21no—
782C4×C43—21no—
783C4×C43—21no—
784C4×C43—21no—
785C4×C43—21no—
786C4×C43—21no—
787C4×C43—41no—
788C4×C43—41no—
789C4×C43—41no—
790C4×C43—41no—
791C4×C43—41no—
792C4×C43—41no—
793C4×C43—41no—
794C4×C43#58511yescharacteristic
795C4×C43#58511yescharacteristic
796Dic43—21no—
797Dic43—21no—
798Dic43—21no—
799Dic43—21no—
800Dic43—21no—
801Dic43—21no—
802Dic43—21no—
803Dic43—41no—
804Dic43—41no—
805Dic43—41no—
806Dic43—41no—
807Dic43—41no—
808Dic43—41no—
809#3556—431no—
810#3510—431no—
811#3400—431no—
812#3400—431no—
813#3400—431no—
814#3400—431no—
815#3398—431no—
816#3398—431no—
817#3398—431no—
818#3398D4311yescharacteristic, complemented
819#3377—431no—
820#3377—431no—
821#3377—431no—
822#3377—431no—
823#3371—431no—
824#3371—431no—
825#3371—431no—
826#3371—431no—
827#3223—431no—
828#3223—431no—
829#3222—431no—
830#3222—431no—
831#3215—431no—
832#3215—431no—
833#3127—431no—
834#3127—431no—
835#3123—431no—
836#3123—431no—
837#3116—431no—
838#3116—431no—
839#2987—431no—
840C2×C43—81no—
841C2×C43#348711yescharacteristic
842C2×C43#358611yescharacteristic
843C2×C43#358611yescharacteristic
844D43—41no—
845D43—81no—
846D43—81no—
847#564—861no—
848#564—861no—
849#559—431no—
850#559—431no—
851#559—431no—
852#559—431no—
853#557—431no—
854#557—431no—
855#557—431no—
856#557—431no—
857#557—431no—
858#557—431no—
859#557—431no—
860#557—861no—
861#557—861no—
862#557C2×D4311yescharacteristic, complemented
863#556—431no—
864#556—431no—
865#556—431no—
866#556C2×D4311yescharacteristic
867#551—861no—
868#551—861no—
869#551—861no—
870#551—861no—
871#542—861no—
872#542—861no—
873#541—431no—
874#541—431no—
875#541—431no—
876#541—431no—
877#541—861no—
878#541—861no—
879#541—861no—
880#541—861no—
881#536—431no—
882#535—431no—
883#533—431no—
884#533—431no—
885#533—431no—
886#529—861no—
887#529—861no—
888C2×#124—431no—
889#519—431no—
890#518—431no—
891C4×#41—431no—
892#497—431no—
893#497—431no—
894#497—431no—
895#497—431no—
896#497—431no—
897#497—431no—
898#497C2×D4311yescharacteristic
899#497C2×D4311yescharacteristic
900#494—431no—
901#494C2×D4311yescharacteristic, complemented
902#492—431no—
903#492—431no—
904#491—431no—
905#491—431no—
906#490—431no—
907#490—431no—
908#489—431no—
909#489—431no—
910#489—431no—
911#489—431no—
912#488—431no—
913#488—431no—
914#488—431no—
915#488—431no—
916#485—431no—
917#485—431no—
918#485—431no—
919#485—431no—
920#479—431no—
921#479—431no—
922#479—431no—
923#479—431no—
924#478—431no—
925#478—431no—
926#478—431no—
927#478—431no—
928#477—431no—
929#477—431no—
930#476—431no—
931#476—431no—
932#464—431no—
933#464—431no—
934#464—431no—
935#464—431no—
936#464—431no—
937#464—431no—
938#464—431no—
939#464—431no—
940#464—431no—
941#464—431no—
942#464—431no—
943#464—431no—
944#464—431no—
945#464—431no—
946#464C2×D4311yescharacteristic
947#464C2×D4311yescharacteristic
948#462—431no—
949#462—431no—
950#462—431no—
951#462—431no—
952#462—431no—
953#462—431no—
954#462—431no—
955#462C2×D4311yescharacteristic, complemented
956#462C2×D4311yescharacteristic, complemented
957#462C2×D4311yescharacteristic, complemented
958#461—431no—
959#461—431no—
960#461—431no—
961#461—431no—
962#461—431no—
963#461C2×D4311yescharacteristic
964#460—431no—
965#460—431no—
966#460—431no—
967#460—431no—
968#452—431no—
969#452—431no—
970#452—431no—
971#452—431no—
972#451—431no—
973#451—431no—
974#451—431no—
975#451—431no—
976#450—431no—
977#450—431no—
978#450—431no—
979#450—431no—
980#446—431no—
981#446—431no—
982#446—431no—
983#446—431no—
984#446—431no—
985#446—431no—
986#446—431no—
987#446C2×D4311yescharacteristic, complemented
988#441—431no—
989#441—431no—
990#441—431no—
991#441—431no—
992#441—431no—
993#441—431no—
994#441C2×D4311yescharacteristic, complemented
995#441C2×D4311yescharacteristic, complemented
996#440—431no—
997#440—431no—
998#440—431no—
999#440—431no—
1000#440—431no—
1001#440—431no—
1002#440—431no—
1003#440—431no—
1004C4×Q16—431no—
1005C4×Q16—431no—
1006C4×Q16—431no—
1007C4×Q16—431no—
1008C4×SD16—431no—
1009C4×SD16—431no—
1010C4×SD16—431no—
1011C4×SD16C2×D4311yescharacteristic
1012#433—431no—
1013#433—431no—
1014#433—431no—
1015#433—431no—
1016#432—431no—
1017#432—431no—
1018C43#6194311yescharacteristic, complemented, Sylow
1019C2×#41—431no—
1020C22×Q8—431no—
1021C22×D4—431no—
1022C2×Q16—431no—
1023C2×Q16—431no—
1024C2×Q16—431no—
1025C2×Q16—431no—
1026C2×Q16—431no—
1027C2×Q16—431no—
1028C2×Q16C22×D4311yescharacteristic
1029C2×Q16C22×D4311yescharacteristic
1030C2×Q16C22×D4311yescharacteristic
1031C2×Q16C22×D4311yescharacteristic
1032C2×Q16C22×D4311yescharacteristic
1033C2×Q16C22×D4311yescharacteristic
1034C2×SD16—431no—
1035C2×SD16—431no—
1036C2×SD16—431no—
1037C2×SD16—431no—
1038C2×SD16—431no—
1039C2×SD16—431no—
1040C2×SD16—431no—
1041C2×SD16—431no—
1042C2×SD16—431no—
1043C2×SD16C22×D4311yescharacteristic
1044C2×SD16C22×D4311yescharacteristic
1045C2×SD16C22×D4311yescharacteristic
1046C4⋊Q8—431no—
1047C4⋊Q8—431no—
1048C4⋊Q8—431no—
1049C4⋊Q8—431no—
1050C4⋊Q8—431no—
1051C4⋊Q8—431no—
1052C4⋊Q8—431no—
1053C4⋊Q8—431no—
1054C4⋊Q8—861no—
1055C4⋊Q8—861no—
1056C4⋊Q8—861no—
1057C4⋊Q8—861no—
1058C4⋊Q8C22×D4311yescharacteristic
1059C4⋊Q8C22×D4311yescharacteristic
1060C4⋊Q8C22×D4311yescharacteristic
1061C4⋊Q8C22×D4311yescharacteristic
1062#127—431no—
1063#127—431no—
1064#126—21no—
1065#126—21no—
1066#126—861no—
1067#126—861no—
1068#126—861no—
1069#126—861no—
1070#126—861no—
1071#126—861no—
1072#126—861no—
1073#126—861no—
1074#126—861no—
1075#126—861no—
1076#126—861no—
1077#126—861no—
1078#126—861no—
1079#126—861no—
1080#125—21no—
1081#125—21no—
1082#125—21no—
1083#125—431no—
1084#125—431no—
1085#125—431no—
1086#125—431no—
1087#125—431no—
1088#125—431no—
1089#125—861no—
1090#125—861no—
1091#125—861no—
1092#125—861no—
1093#125—861no—
1094#125—861no—
1095#125—861no—
1096#125—861no—
1097#125—861no—
1098#125—861no—
1099#125—861no—
1100#125—861no—
1101#125—861no—
1102#125—861no—
1103#125—861no—
1104#125—861no—
1105#125—861no—
1106#125—861no—
1107#125—861no—
1108#125—861no—
1109#125—861no—
1110#125—861no—
1111#125—861no—
1112#125—861no—
1113#125—861no—
1114#125—861no—
1115#125—861no—
1116#124—431no—
1117#124—431no—
1118#124—431no—
1119#124—431no—
1120#124—431no—
1121#124—431no—
1122#124—861no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#124—861no—
1127#124—861no—
1128#124C22×D4311yescharacteristic
1129#124C22×D4311yescharacteristic
1130#123—861no—
1131#123—861no—
1132#123—861no—
1133#123—861no—
1134#123—861no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
1138#123—861no—
1139#123—861no—
1140C22⋊Q8—21no—
1141C22⋊Q8—431no—
1142C22⋊Q8—431no—
1143C22⋊Q8—431no—
1144C22⋊Q8—431no—
1145C22⋊Q8—431no—
1146C22⋊Q8—431no—
1147C22⋊Q8—431no—
1148C22⋊Q8—431no—
1149C22⋊Q8—861no—
1150C22⋊Q8—861no—
1151C22⋊Q8—861no—
1152C22⋊Q8—861no—
1153C22⋊Q8—861no—
1154C22⋊Q8—861no—
1155C22⋊Q8—861no—
1156#121—861no—
1157#121—861no—
1158#120—861no—
1159#120—861no—
1160C4×Q8—21no—
1161C4×Q8—431no—
1162C4×Q8—431no—
1163C4×Q8—431no—
1164C4×Q8—431no—
1165C4×Q8—431no—
1166C4×Q8—431no—
1167C4×Q8—431no—
1168C4×Q8—431no—
1169C4×Q8—431no—
1170C4×Q8—431no—
1171C4×Q8—431no—
1172C4×Q8—431no—
1173C4×Q8—431no—
1174C4×Q8—431no—
1175C4×Q8—431no—
1176C4×Q8—431no—
1177C4×Q8—861no—
1178C4×Q8—861no—
1179C4×Q8—861no—
1180C4×Q8—861no—
1181C4×Q8—861no—
1182C4×Q8—861no—
1183C4×Q8—861no—
1184C4×Q8—861no—
1185C4×Q8—861no—
1186C4×Q8—861no—
1187C4×Q8—861no—
1188C4×Q8C22×D4311yescharacteristic
1189C4×Q8C22×D4311yescharacteristic
1190C4×Q8C22×D4311yescharacteristic
1191C4×Q8C22×D4311yescharacteristic
1192C4×Q8C22×D4311yescharacteristic
1193C4×Q8C22×D4311yescharacteristic
1194C4×D4—431no—
1195C4×D4—431no—
1196C4×D4—431no—
1197C4×D4—431no—
1198C4×D4—431no—
1199C4×D4—861no—
1200C4×D4—861no—
1201C4×D4—861no—
1202C4×D4—861no—
1203C4×D4—861no—
1204C4×D4—861no—
1205C4×D4—861no—
1206C4×D4—861no—
1207C4×D4C22×D4311yescharacteristic
1208#117—21no—
1209#117—431no—
1210#117—431no—
1211#117—431no—
1212#117—861no—
1213#117—861no—
1214#117—861no—
1215#117—861no—
1216#117—861no—
1217#117—861no—
1218#117—861no—
1219#117—861no—
1220C2×C22⋊C4—861no—
1221C2×C22⋊C4—861no—
1222C2×C22⋊C4—861no—
1223C2×C22⋊C4—861no—
1224C2×C42—431no—
1225C2×C42—861no—
1226#107—431no—
1227#107—431no—
1228#107—431no—
1229#107—431no—
1230#106—431no—
1231#106—431no—
1232#106—431no—
1233#106C22×D4311yescharacteristic
1234C4⋊C8—431no—
1235C4⋊C8—431no—
1236C4⋊C8—431no—
1237C4⋊C8—431no—
1238C4⋊C8—431no—
1239C4⋊C8—431no—
1240C4⋊C8—431no—
1241C4⋊C8—431no—
1242C4⋊C8—431no—
1243C4⋊C8C22×D4311yescharacteristic
1244C4⋊C8C22×D4311yescharacteristic
1245C4⋊C8C22×D4311yescharacteristic
1246#103—431no—
1247#103—431no—
1248#103—431no—
1249#103—431no—
1250#103—431no—
1251#103—431no—
1252#103—431no—
1253#103—431no—
1254#103—431no—
1255#103—431no—
1256#103—431no—
1257#103—431no—
1258#103—431no—
1259#103—431no—
1260#103—431no—
1261#103C22×D4311yescharacteristic
1262#103C22×D4311yescharacteristic
1263#103C22×D4311yescharacteristic
1264#103C22×D4311yescharacteristic
1265#103C22×D4311yescharacteristic
1266#102—431no—
1267#102—431no—
1268#102—431no—
1269#102—431no—
1270#102—431no—
1271#102—431no—
1272#102—431no—
1273#102—431no—
1274#102—431no—
1275#102—431no—
1276#102—431no—
1277#102C22×D4311yescharacteristic
1278C22⋊C8—431no—
1279C22⋊C8—431no—
1280C22⋊C8—431no—
1281C22⋊C8—431no—
1282#97—431no—
1283#97—431no—
1284#97—431no—
1285#97—431no—
1286#97—431no—
1287#97—431no—
1288#97C22×D4311yescharacteristic
1289#97C22×D4311yescharacteristic
1290C4×C8—431no—
1291C4×C8—431no—
1292C4×C8—431no—
1293C4×C8C22×D4311yescharacteristic
1294C24—861no—
1295#41—1721no—
1296#41—1721no—
1297C2×Q8—431no—
1298C2×Q8—431no—
1299C2×Q8—431no—
1300C2×Q8—431no—
1301C2×Q8—431no—
1302C2×Q8—861no—
1303C2×Q8—861no—
1304C2×Q8—861no—
1305C2×Q8—1721no—
1306C2×Q8—1721no—
1307C2×Q8D4×D4311yescharacteristic
1308C2×Q8C23×D4311yescharacteristic
1309C2×Q8C23×D4311yescharacteristic
1310C2×Q8C23×D4311yescharacteristic
1311C2×Q8C23×D4311yescharacteristic
1312C2×Q8C23×D4311yescharacteristic
1313C2×D4—431no—
1314C2×D4—431no—
1315C2×D4—861no—
1316C2×D4—861no—
1317C2×D4—861no—
1318C2×D4—861no—
1319C2×D4—861no—
1320C2×D4—861no—
1321C2×D4—1721no—
1322C2×D4—1721no—
1323C2×D4C23×D4311yescharacteristic
1324C22×C4—21no—
1325C22×C4—431no—
1326C22×C4—431no—
1327C22×C4—431no—
1328C22×C4—861no—
1329C22×C4—861no—
1330C22×C4—861no—
1331C22×C4—861no—
1332C22×C4—861no—
1333C22×C4—861no—
1334C22×C4—861no—
1335Q16—41no—
1336Q16—41no—
1337Q16—41no—
1338Q16—41no—
1339Q16—41no—
1340Q16—41no—
1341Q16—1721no—
1342Q16—1721no—
1343Q16—1721no—
1344Q16—1721no—
1345Q16—1721no—
1346Q16—1721no—
1347SD16—41no—
1348SD16—41no—
1349SD16—41no—
1350SD16—1721no—
1351SD16—1721no—
1352SD16—1721no—
1353SD16—1721no—
1354SD16—1721no—
1355SD16—1721no—
1356SD16—1721no—
1357SD16—1721no—
1358SD16—1721no—
1359C2×C8—431no—
1360C2×C8—431no—
1361C2×C8—431no—
1362C2×C8—431no—
1363C2×C8C23×D4311yescharacteristic
1364C2×C8C23×D4311yescharacteristic
1365C2×C8C23×D4311yescharacteristic
1366C2×C8C23×D4311yescharacteristic
1367C4⋊C4—21no—
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—21no—
1379C4⋊C4—21no—
1380C4⋊C4—431no—
1381C4⋊C4—431no—
1382C4⋊C4—431no—
1383C4⋊C4—431no—
1384C4⋊C4—431no—
1385C4⋊C4—431no—
1386C4⋊C4—431no—
1387C4⋊C4—431no—
1388C4⋊C4—431no—
1389C4⋊C4—431no—
1390C4⋊C4—431no—
1391C4⋊C4—431no—
1392C4⋊C4—431no—
1393C4⋊C4—431no—
1394C4⋊C4—431no—
1395C4⋊C4—431no—
1396C4⋊C4—431no—
1397C4⋊C4—861no—
1398C4⋊C4—861no—
1399C4⋊C4—861no—
1400C4⋊C4—861no—
1401C4⋊C4—861no—
1402C4⋊C4—861no—
1403C4⋊C4—861no—
1404C4⋊C4—861no—
1405C4⋊C4—861no—
1406C4⋊C4—861no—
1407C4⋊C4—861no—
1408C4⋊C4—861no—
1409C4⋊C4—861no—
1410C4⋊C4—861no—
1411C4⋊C4—861no—
1412C4⋊C4—861no—
1413C4⋊C4—861no—
1414C4⋊C4—861no—
1415C4⋊C4—861no—
1416C4⋊C4—861no—
1417C4⋊C4—861no—
1418C4⋊C4—861no—
1419C4⋊C4—861no—
1420C4⋊C4—861no—
1421C4⋊C4—861no—
1422C4⋊C4—861no—
1423C4⋊C4—861no—
1424C4⋊C4—861no—
1425C4⋊C4—861no—
1426C4⋊C4—861no—
1427C4⋊C4—861no—
1428C4⋊C4—861no—
1429C4⋊C4—861no—
1430C4⋊C4—861no—
1431C4⋊C4—861no—
1432C4⋊C4D4×D4311yescharacteristic
1433C4⋊C4D4×D4311yescharacteristic
1434C4⋊C4D4×D4311yescharacteristic
1435C4⋊C4C23×D4311yescharacteristic
1436C4⋊C4C23×D4311yescharacteristic
1437C22⋊C4—21no—
1438C22⋊C4—21no—
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—431no—
1443C22⋊C4—431no—
1444C22⋊C4—431no—
1445C22⋊C4—431no—
1446C22⋊C4—861no—
1447C22⋊C4—861no—
1448C22⋊C4—861no—
1449C22⋊C4—861no—
1450C22⋊C4—861no—
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⋊C4—861no—
1463C22⋊C4—861no—
1464C22⋊C4—861no—
1465C22⋊C4—861no—
1466C22⋊C4—861no—
1467C22⋊C4—861no—
1468C42—21no—
1469C42—21no—
1470C42—21no—
1471C42—21no—
1472C42—21no—
1473C42—431no—
1474C42—431no—
1475C42—431no—
1476C42—431no—
1477C42—431no—
1478C42—861no—
1479C42—861no—
1480C42—861no—
1481C42—861no—
1482C42—861no—
1483C42—861no—
1484C42—861no—
1485C42—861no—
1486C42—861no—
1487C42—861no—
1488C42—861no—
1489C42—861no—
1490C42—861no—
1491C42—861no—
1492C42C23×D4311yescharacteristic
1493C42C23×D4311yescharacteristic
1494C42C23×D4311yescharacteristic
1495C23—21no—
1496C23—431no—
1497C23—861no—
1498C23—861no—
1499C23—3441no—
1500C23—3441no—
1501C23—1722no—
1502Q8—21no—
1503Q8—21no—
1504Q8—21no—
1505Q8—21no—
1506Q8—21no—
1507Q8—21no—
1508Q8—21no—
1509Q8—21no—
1510Q8—21no—
1511Q8—21no—
1512Q8—41no—
1513Q8—861no—
1514Q8—861no—
1515Q8—861no—
1516Q8—861no—
1517Q8—1721no—
1518Q8—1721no—
1519Q8—1721no—
1520Q8—1722no—
1521Q8—1722no—
1522Q8—1722no—
1523D4—21no—
1524D4—21no—
1525D4—861no—
1526D4—861no—
1527D4—861no—
1528D4—861no—
1529D4—3441no—
1530D4—3441no—
1531D4—3441no—
1532D4—3441no—
1533D4—1722no—
1534D4—1722no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—81no—
1543C2×C4—431no—
1544C2×C4—431no—
1545C2×C4—431no—
1546C2×C4—431no—
1547C2×C4—431no—
1548C2×C4—431no—
1549C2×C4—431no—
1550C2×C4—861no—
1551C2×C4—861no—
1552C2×C4—861no—
1553C2×C4—861no—
1554C2×C4—861no—
1555C2×C4—861no—
1556C2×C4—861no—
1557C2×C4—861no—
1558C2×C4—3441no—
1559C2×C4—3441no—
1560C2×C4—3441no—
1561C2×C4—3441no—
1562C2×C4—3441no—
1563C2×C4—1721no—
1564C2×C4—1721no—
1565C2×C4—1722no—
1566C2×C4—1722no—
1567C2×C4C2×D4×D4311yescharacteristic
1568C2×C4C2×D4×D4311yescharacteristic
1569C2×C4C2×D4×D4311yescharacteristic
1570C2×C4C2×D4×D4311yescharacteristic
1571C2×C4C2×D4×D4311yescharacteristic
1572C2×C4C2×D4×D4311yescharacteristic
1573C2×C4C24×D4311yescharacteristic
1574C8—21no—
1575C8—21no—
1576C8—21no—
1577C8—21no—
1578C8—861no—
1579C8—861no—
1580C8—861no—
1581C8—861no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—861no—
1586C22—861no—
1587C22—861no—
1588C22—1721no—
1589C22—1721no—
1590C22—1721no—
1591C22—1721no—
1592C22—1721no—
1593C22—1721no—
1594C22—6882no—
1595C22C22×D4×D4311yescharacteristic
1596C4—21no—
1597C4—21no—
1598C4—21no—
1599C4—21no—
1600C4—21no—
1601C4—21no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—861no—
1610C4—861no—
1611C4—861no—
1612C4—861no—
1613C4—861no—
1614C4—861no—
1615C4—861no—
1616C4—1721no—
1617C4—1721no—
1618C4—1721no—
1619C4—1721no—
1620C4—1721no—
1621C4—1721no—
1622C4#1458373411yescharacteristic
1623C4#1458373511yescharacteristic
1624C2—81no—
1625C2—3441no—
1626C2—3441no—
1627C2—1721no—
1628C2#1914824811yescharacteristic
1629C2#1914937811yescharacteristic
1630C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3398C2
socleC22×C43C23×D4
prime radical#14583467C22
hypercenter#3398D43
hypocenterC43#61943
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3398

Complements

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

NH ≅ G/Ntype
1. #19149087C2semidirect
3. #19147652C2semidirect
4. #19147645C2semidirect
5. #19147644C2semidirect
6. #19147643C2semidirect
7. #19147631C2semidirect
8. #19147623C2semidirect
9. #19147621C2semidirect
10. #19147442C2semidirect
11. #19147441C2semidirect
12. #19147431C2semidirect
13. #19147430C2semidirect
14. #19147365C2semidirect
15. #19147364C2semidirect
16. #19147360C2semidirect
17. #19147359C2semidirect
18. #19145677C2semidirect
19. #19145671C2semidirect
22. #19145596C2semidirect
23. #19145593C2semidirect
24. #19144894C2semidirect
25. #19144893C2semidirect
26. #19144845C2semidirect
27. #19144844C2semidirect
28. #19144756C2semidirect
29. #19144755C2semidirect
30. #19143698C2semidirect
31. C43×#3398C2semidirect
38. #14583628C22semidirect
40. #14583627C22semidirect
42. #14583625C22semidirect
43. #14583625C22semidirect
44. #14583624C22semidirect
45. #14583624C22semidirect
46. #14583624C22semidirect
77. #14583292C22semidirect
79. #14583291C22semidirect
81. #14583277C22semidirect
84. #14583267C22semidirect
85. #14583266C22semidirect
93. #14583255C22semidirect
94. #14583254C22semidirect
100. #14583209C22semidirect
101. #14583207C22semidirect
102. #14583206C22semidirect
103. #14583204C22semidirect
108. #14583194C22semidirect
109. #14583192C22semidirect
110. #14583190C22semidirect
111. #14583188C22semidirect
116. #14583123C22semidirect
117. #14583123C22semidirect
119. #14583122C22semidirect
121. #14583121C22semidirect
126. #14583108C22semidirect
127. #14583107C22semidirect
128. #14583107C22semidirect
129. #14583107C22semidirect
130. #14583107C22semidirect
131. #14583106C22semidirect
132. #14583106C22semidirect
134. #14583103C22semidirect
137. #14583101C22semidirect
154. #14583030C22semidirect
155. #14583029C22semidirect
156. #14583028C22semidirect
157. #14583028C22semidirect
158. #14583027C22semidirect
159. #14583027C22semidirect
160. #14583026C22semidirect
161. #14583007C22semidirect
162. #14583006C22semidirect
163. #14583006C22semidirect
164. #14583006C22semidirect
165. #14583004C22semidirect
166. #14583003C22semidirect
168. #14583002C22semidirect
169. #14583002C22semidirect
170. #14583001C22semidirect
174. #14582997C22semidirect
175. Q16×Dic43C22semidirect
176. C4×#10621885C22semidirect
177. C4×#10621885C22semidirect
178. #14582991C22semidirect
188. C43×#557C22semidirect
192. C43×#494C22semidirect
195. C43×#462C22semidirect
196. C43×#462C22semidirect
197. C43×#462C22semidirect
199. C43×#446C22semidirect
200. C43×#441C22semidirect
201. C43×#441C22semidirect
818. #3398D43semidirect
862. #557C2×D43semidirect
901. #494C2×D43semidirect
955. #462C2×D43semidirect
956. #462C2×D43semidirect
957. #462C2×D43semidirect
987. #446C2×D43semidirect
994. #441C2×D43semidirect
995. #441C2×D43semidirect
1018. C43#61943semidirect

Maximal subgroups

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

subgroupindex
#191490872
#191484852
#191476522
#191476452
#191476442
#191476432
#191476312
#191476232
#191476212
#191474422
#191474412
#191474312
#191474302
#191473652
#191473642
#191473602
#191473592
#191456772
#191456712
#191456642
#191456622
#191455962
#191455932
#191448942
#191448932
#191448452
#191448442
#191447562
#191447552
#191436982
C43×#33982
#6194343