Finite Group Databasebeta

← #25988628

Subgroups — #25988628

Order 11008.

1646 conjugacy classes of subgroups.

The subgroup lattice has 1630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149071C211yesmaximal, characteristic, complemented
2#19148456C211yesmaximal, characteristic, complemented
3#19147670C211yesmaximal, characteristic, complemented
4#19147667C211yesmaximal, characteristic, complemented
5#19147659C211yesmaximal, characteristic, complemented
6#19147629C211yesmaximal, characteristic, complemented
7#19147623C211yesmaximal, characteristic, complemented
8#19147623C211yesmaximal, characteristic, complemented
9#19147621C211yesmaximal, characteristic, complemented
10#19147427C211yesmaximal, characteristic, complemented
11#19147419C211yesmaximal, characteristic, complemented
12#19147402C211yesmaximal, characteristic, complemented
13#19147396C211yesmaximal, characteristic, complemented
14#19147368C211yesmaximal, characteristic, complemented
15#19147360C211yesmaximal, characteristic, complemented
16#19147337C211yesmaximal, characteristic, complemented
17#19147331C211yesmaximal, characteristic, complemented
18#19145699C211yesmaximal, characteristic, complemented
19#19145697C211yesmaximal, characteristic, complemented
20#19145677C211yesmaximal, characteristic, complemented
21#19145675C211yesmaximal, characteristic, complemented
22#19145631C211yesmaximal, characteristic
23#19145601C211yesmaximal, characteristic, complemented
24#19144871C211yesmaximal, characteristic, complemented
25#19144869C211yesmaximal, characteristic, complemented
26#19144815C211yesmaximal, characteristic, complemented
27#19144813C211yesmaximal, characteristic, complemented
28#19144764C211yesmaximal, characteristic, complemented
29#19144724C211yesmaximal, characteristic, complemented
30#19143698C211yesmaximal, characteristic, complemented
31C43×#3402C211yesmaximal, characteristic, complemented
32#14583651—21no—
33#14583651—21no—
34#14583632C2211yescharacteristic
35#14583631C2211yescharacteristic
36Q8×Dic86C2211yescharacteristic
37#14583628C2211yescharacteristic
38#14583628C2211yescharacteristic
39#14583627C2211yescharacteristic
40#14583624C2211yescharacteristic
41#14583624C2211yescharacteristic
42#14583622C2211yescharacteristic
43#14583621C2211yescharacteristic
44#14583618C2211yescharacteristic
45#14583618C2211yescharacteristic
46#14583618C2211yescharacteristic
47#14583617—21no—
48#14583616—21no—
49#14583606C2211yescharacteristic
50#14583603—21no—
51#14583591—21no—
52#14583585—21no—
53#14583582—21no—
54#14583527—21no—
55#14583518C2211yescharacteristic
56#14583518C2211yescharacteristic
57#14583509—21no—
58#14583507C2211yescharacteristic
59#14583507C2211yescharacteristic
60#14583506—21no—
61#14583506—21no—
62#14583495—21no—
63#14583490—21no—
64#14583474C2211yescharacteristic
65#14583469C2211yescharacteristic
66#14583454C2211yescharacteristic
67#14583453C2211yescharacteristic
68#14583448C2211yescharacteristic
69#14583432—21no—
70#14583431C2211yescharacteristic
71#14583427—21no—
72#14583381C2211yescharacteristic
73#14583378C2211yescharacteristic
74C4×Q8×D43C2211yescharacteristic
75#14583294C2211yescharacteristic
76#14583292C2211yescharacteristic
77#14583291C2211yescharacteristic
78#14583290C2211yescharacteristic
79#14583290C2211yescharacteristic
80#14583287C2211yescharacteristic
81#14583281C2211yescharacteristic
82#14583277C2211yescharacteristic
83#14583277C2211yescharacteristic
84#14583266C2211yescharacteristic
85#14583266C2211yescharacteristic
86#14583266C2211yescharacteristic
87#14583262C2211yescharacteristic
88#14583259C2211yescharacteristic
89#14583259C2211yescharacteristic
90#14583258C2211yescharacteristic
91#14583258C2211yescharacteristic
92#14583255C2211yescharacteristic
93#14583252C2211yescharacteristic
94#14583250C2211yescharacteristic
95#14583249C2211yescharacteristic
96#14583236C2211yescharacteristic
97#14583228C2211yescharacteristic
98#14583228C2211yescharacteristic
99#14583216C2211yescharacteristic
100#14583205C2211yescharacteristic
101#14583205C2211yescharacteristic
102#14583204C2211yescharacteristic
103#14583204C2211yescharacteristic
104#14583202C2211yescharacteristic
105#14583201C2211yescharacteristic
106#14583190C2211yescharacteristic
107#14583189C2211yescharacteristic
108#14583185C2211yescharacteristic
109#14583185C2211yescharacteristic
110#14583184C2211yescharacteristic
111#14583184C2211yescharacteristic
112#14583123C2211yescharacteristic
113#14583122C2211yescharacteristic
114#14583122C2211yescharacteristic
115#14583121C2211yescharacteristic
116#14583120C2211yescharacteristic
117#14583119C2211yescharacteristic
118#14583119C2211yescharacteristic
119#14583118C2211yescharacteristic
120#14583118C2211yescharacteristic
121#14583118C2211yescharacteristic
122#14583116C2211yescharacteristic
123#14583114C2211yescharacteristic
124#14583112C2211yescharacteristic
125#14583111C2211yescharacteristic
126#14583110C2211yescharacteristic
127#14583109C2211yescharacteristic
128#14583108C2211yescharacteristic
129#14583107C2211yescharacteristic
130#14583107C2211yescharacteristic
131#14583107C2211yescharacteristic
132#14583107C2211yescharacteristic
133#14583107C2211yescharacteristic
134#14583106C2211yescharacteristic
135#14583106C2211yescharacteristic
136#14583103C2211yescharacteristic
137#14583102C2211yescharacteristic
138#14583102C2211yescharacteristic
139#14583102C2211yescharacteristic
140#14583097C2211yescharacteristic
141#14583097C2211yescharacteristic
142#14583064C2211yescharacteristic
143#14583062C2211yescharacteristic
144#14583060C2211yescharacteristic
145#14583060C2211yescharacteristic
146#14583058C2211yescharacteristic
147#14583058C2211yescharacteristic
148#14583056C2211yescharacteristic
149#14583053C2211yescharacteristic
150#14583053C2211yescharacteristic
151#14583043C2211yescharacteristic
152#14583041C2211yescharacteristic
153#14583036C2211yescharacteristic
154#14583030C2211yescharacteristic
155#14583029C2211yescharacteristic
156#14583028C2211yescharacteristic
157#14583028C2211yescharacteristic
158#14583027C2211yescharacteristic
159#14583027C2211yescharacteristic
160#14583026C2211yescharacteristic
161#14583011C2211yescharacteristic
162#14583008C2211yescharacteristic
163#14583007C2211yescharacteristic
164#14583007C2211yescharacteristic
165#14583006C2211yescharacteristic
166#14583006C2211yescharacteristic
167#14583006C2211yescharacteristic
168#14583004C2211yescharacteristic
169#14583004C2211yescharacteristic
170#14583003C2211yescharacteristic
171#14583003C2211yescharacteristic
172#14583003C2211yescharacteristic
173#14582999C2211yescharacteristic
174#14582997C2211yescharacteristic
175C4×#10621885C2211yescharacteristic
176#14582990C2211yescharacteristic
177C4×#10621873C2211yescharacteristic
178SD16×Dic43C2211yescharacteristic
179SD16×Dic43C2211yescharacteristic
180C4×#10621883C2211yescharacteristic
181#14582984C2211yescharacteristic
182#14582961C2211yescharacteristic
183#14582959C2211yescharacteristic
184#14582959C2211yescharacteristic
185#14582958C2211yescharacteristic
186#14582955C2211yescharacteristic
187#14582954C2211yescharacteristic
188C43×#556C2211yescharacteristic
189C43×#556C2211yescharacteristic
190C43×#497C2211yescharacteristic
191C43×#497C2211yescharacteristic
192C43×#495C2211yescharacteristic
193C43×#464C2211yescharacteristic
194C43×#464C2211yescharacteristic
195C43×#463C2211yescharacteristic
196C43×#463C2211yescharacteristic
197C43×#462C2211yescharacteristic
198C43×#462C2211yescharacteristic
199C43×#446C2211yescharacteristic
200C43×#440C2211yescharacteristic
201C43×#440C2211yescharacteristic
202C4×Q16×C43C2211yescharacteristic
203C2×#10621902C2311yescharacteristic
204C2×#10621900C2311yescharacteristic
205C2×Q8×D43C2311yescharacteristic
206C2×Dic172C2311yescharacteristic
207C2×Dic172C2311yescharacteristic
208C2×#10621885C2311yescharacteristic
209C2×#10621885C2311yescharacteristic
210C2×#10621885C2311yescharacteristic
211C2×#10621885C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621873C2311yescharacteristic
215C2×#10621883C2311yescharacteristic
216C2×#10621883C2311yescharacteristic
217C2×#10621883C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621882C2311yescharacteristic
221#13063325—21no—
222#13063325—21no—
223#13063325C2311yescharacteristic
224#13063325C2311yescharacteristic
225#13063325C2311yescharacteristic
226#13063325C2311yescharacteristic
227#13063324—21no—
228#13063324—21no—
229#13063324—21no—
230#13063324D411yescharacteristic
231#13063323D411yescharacteristic
232#13063323C2311yescharacteristic
233#13063323C2311yescharacteristic
234#13063323C2311yescharacteristic
235#13063323C2311yescharacteristic
236#13063323C2311yescharacteristic
237#13063321C2311yescharacteristic
238#13063320—21no—
239#13063320—21no—
240#13063320—21no—
241#13063320—21no—
242#13063320—21no—
243#13063319—21no—
244#13063319—21no—
245#13063319—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318—21no—
250#13063318—21no—
251#13063318—21no—
252#13063318—21no—
253#13063318—21no—
254#13063318—21no—
255#13063317—21no—
256#13063317—21no—
257#13063317—21no—
258#13063316—21no—
259#13063316—21no—
260#13063316—21no—
261#13063316—21no—
262#13063316—21no—
263#13063316—21no—
264#13063316—21no—
265#13063316C2311yescharacteristic
266#13063316C2311yescharacteristic
267#13063316C2311yescharacteristic
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#13063315D411yescharacteristic
277#13063315D411yescharacteristic
278#13063314C2311yescharacteristic
279#13063313C2311yescharacteristic
280#13063313C2311yescharacteristic
281#13063312C2311yescharacteristic
282#13063312C2311yescharacteristic
283#13063311—21no—
284#13063311—21no—
285#13063311—21no—
286#13063311—21no—
287#13063310—21no—
288#13063310—21no—
289#13063309—21no—
290#13063309—21no—
291#13063309—21no—
292#13063308—21no—
293#13063307—21no—
294#13063307—21no—
295#13063307—21no—
296#13063307—21no—
297#13063307—21no—
298#13063305—21no—
299#13063305D411yescharacteristic
300#13063305C2311yescharacteristic
301#13063304—21no—
302#13063303—21no—
303#13063303—21no—
304#13063303—21no—
305#13063303D411yescharacteristic
306#13063303D411yescharacteristic
307#13063302—21no—
308#13063302—21no—
309#13063302—21no—
310#13063302—21no—
311#13063302—21no—
312#13063302—21no—
313#13063302—21no—
314#13063302—21no—
315#13063302—21no—
316#13063301—21no—
317#13063301D411yescharacteristic
318#13063301C2311yescharacteristic
319#13063301C2311yescharacteristic
320#13063298—21no—
321#13063298—21no—
322#13063296C2311yescharacteristic
323Q8×Dic43—21no—
324Q8×Dic43C2311yescharacteristic
325Q8×Dic43C2311yescharacteristic
326Q8×Dic43C2311yescharacteristic
327Q8×Dic43C2311yescharacteristic
328Q8×Dic43C2311yescharacteristic
329Q8×Dic43C2311yescharacteristic
330C4×Dic86—21no—
331C4×Dic86—21no—
332C4×Dic86—21no—
333C4×Dic86—21no—
334C4×Dic86C2311yescharacteristic
335C4×Dic86C2311yescharacteristic
336C4×Dic86C2311yescharacteristic
337C4×Dic86C2311yescharacteristic
338C4×Dic86C2311yescharacteristic
339C4×Dic86C2311yescharacteristic
340C4×Dic86C2311yescharacteristic
341C4×Dic86C2311yescharacteristic
342#13063290—21no—
343#13063290—21no—
344#13063290—21no—
345#13063290—21no—
346#13063290C2311yescharacteristic
347#13063290C2311yescharacteristic
348C4×D172—21no—
349C4×D172C2311yescharacteristic
350D4×Dic43C2311yescharacteristic
351D4×Dic43C2311yescharacteristic
352D4×Dic43C2311yescharacteristic
353#13063287—21no—
354#13063287C2311yescharacteristic
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
357C4×C22⋊D43—21no—
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362#13063284—21no—
363#13063283—21no—
364#13063283—21no—
365#13063282—21no—
366#13063282—21no—
367#13063282C2311yescharacteristic
368#13063282C2311yescharacteristic
369#13063281—21no—
370#13063281—21no—
371#13063281—21no—
372#13063281—21no—
373C2×C4⋊Dic43—21no—
374C2×Dic43⋊C4—21no—
375C4⋊C4×D43—21no—
376C4⋊C4×D43—21no—
377C4⋊C4×D43C2311yescharacteristic
378C42×D43—21no—
379C42×D43C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063257C2311yescharacteristic
382#13063257C2311yescharacteristic
383#13063257C2311yescharacteristic
384#13063256C2311yescharacteristic
385#13063256C2311yescharacteristic
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#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
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×SD16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C2×D8×C43C2311yescharacteristic
444C4⋊Q8×C43C2311yescharacteristic
445C4⋊Q8×C43C2311yescharacteristic
446#126×C43—21no—
447#126×C43—21no—
448#126×C43—21no—
449#126×C43—21no—
450#124×C43C2311yescharacteristic
451#124×C43C2311yescharacteristic
452#124×C43C2311yescharacteristic
453#124×C43C2311yescharacteristic
454C22⋊Q8×C43—21no—
455C22⋊Q8×C43—21no—
456C4×Q8×C43C2311yescharacteristic
457C4×Q8×C43C2311yescharacteristic
458C4×Q8×C43C2311yescharacteristic
459C4×Q8×C43C2311yescharacteristic
460C4×Q8×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462C4×D4×C43C2311yescharacteristic
463#117×C43—21no—
464#117×C43—21no—
465#107×C43C2311yescharacteristic
466C4⋊C8×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468C4⋊C8×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#97×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C2×Q8×C43C2×D411yescharacteristic
479C2×Q8×C43C2411yescharacteristic
480C2×Q8×C43C2411yescharacteristic
481C2×Q8×C43C2411yescharacteristic
482C2×Q8×C43C2411yescharacteristic
483C2×D4×C43C2411yescharacteristic
484C2×D4×C43C2411yescharacteristic
485C22×C4×C43—21no—
486C22×C4×C43—21no—
487C2×C22⋊D43—21no—
488C2×C22⋊D43—21no—
489C2×C22⋊D43—21no—
490C2×C22⋊D43—21no—
491C22×Dic43—21no—
492C22×Dic43—21no—
493C22×Dic43—21no—
494C22×Dic43—21no—
495#10621902—41no—
496#10621902—41no—
497Q8×D43—41no—
498Q8×D43—41no—
499#10621900—41no—
500#10621900—41no—
501C2×D172—21no—
502C2×D172C2411yescharacteristic
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×Dic86—21no—
515C2×Dic86C2×D411yescharacteristic
516C2×Dic86C2×D411yescharacteristic
517C2×Dic86C2×D411yescharacteristic
518C2×Dic86C2411yescharacteristic
519C2×Dic86C2411yescharacteristic
520C2×Dic86C2411yescharacteristic
521Q16×C43—41no—
522Q16×C43—41no—
523Q16×C43—41no—
524Q16×C43—41no—
525SD16×C43—41no—
526SD16×C43—41no—
527SD16×C43—41no—
528SD16×C43—41no—
529D8×C43—41no—
530C2×C8×C43C2411yescharacteristic
531C2×C8×C43C2411yescharacteristic
532C2×C8×C43C2411yescharacteristic
533C2×C8×C43C2411yescharacteristic
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×C43C2×D411yescharacteristic
543C4⋊C4×C43C2×D411yescharacteristic
544C4⋊C4×C43C2×D411yescharacteristic
545C4⋊C4×C43C2411yescharacteristic
546C4⋊C4×C43C2411yescharacteristic
547C22⋊C4×C43—21no—
548C22⋊C4×C43—21no—
549C22⋊C4×C43—21no—
550C22⋊C4×C43—21no—
551C22⋊C4×C43—21no—
552C22⋊C4×C43—21no—
553C22⋊C4×C43—21no—
554C22⋊C4×C43—21no—
555C22⋊C4×C43—21no—
556C22⋊C4×C43—21no—
557C42×C43—21no—
558C42×C43—21no—
559C42×C43—21no—
560C42×C43—21no—
561C42×C43C2411yescharacteristic
562C42×C43C2411yescharacteristic
563C42×C43C2411yescharacteristic
564C22⋊Dic43—21no—
565C22⋊Dic43—21no—
566C22⋊Dic43—21no—
567C22⋊Dic43—21no—
568C22⋊Dic43—21no—
569C22⋊Dic43—21no—
570C22⋊Dic43—21no—
571C22⋊Dic43—21no—
572#10621885—41no—
573#10621885—41no—
574#10621885—41no—
575#10621885—41no—
576#10621885—41no—
577#10621885—41no—
578#10621884—41no—
579#10621884—41no—
580#10621883—41no—
581#10621883—41no—
582#10621883—41no—
583#10621882—41no—
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)⋊C4C2×D411yescharacteristic
596(C2×D43)⋊C4C2×D411yescharacteristic
597(C2×D43)⋊C4C2×D411yescharacteristic
598(C2×D43)⋊C4C2×D411yescharacteristic
599C4⋊Dic43—21no—
600C4⋊Dic43—21no—
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⋊Dic43—21no—
614C4⋊Dic43C2×D411yescharacteristic
615C4⋊Dic43C2×D411yescharacteristic
616C4⋊Dic43C2×D411yescharacteristic
617C4⋊Dic43C2411yescharacteristic
618C4⋊Dic43C2411yescharacteristic
619C4⋊Dic43C2411yescharacteristic
620C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
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
653Dic43⋊C4C2×D411yescharacteristic
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—
677Dic172—41no—
678#10621873—41no—
679C23×C43—21no—
680C23×C43—21no—
681C22×D43—21no—
682C22×D43C22×D411yescharacteristic
683Q8×C43—21no—
684Q8×C43—21no—
685Q8×C43—21no—
686Q8×C43—21no—
687Q8×C43—21no—
688Q8×C43—21no—
689Q8×C43—21no—
690Q8×C43—21no—
691Q8×C43—41no—
692D4×C43—21no—
693D4×C43—21no—
694D4×C43—21no—
695D4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—42no—
703C2×C4×C43—81no—
704C2×C4×C43C22×D411yescharacteristic
705C2×C4×C43C22×D411yescharacteristic
706C2×C4×C43C22×D411yescharacteristic
707C2×C4×C43C22×D411yescharacteristic
708C2×C4×C43C22×D411yescharacteristic
709C2×C4×C43C22×D411yescharacteristic
710C2×C4×C43C2511yescharacteristic
711C22⋊D43—42no—
712C22⋊D43—42no—
713C22⋊D43—81no—
714C22⋊D43—81no—
715C2×Dic43—21no—
716C2×Dic43—21no—
717C2×Dic43—21no—
718C2×Dic43—21no—
719C2×Dic43—21no—
720C2×Dic43—21no—
721C2×Dic43—21no—
722C2×Dic43—42no—
723C2×Dic43—81no—
724C2×Dic43—81no—
725C2×Dic43—81no—
726C2×Dic43C22×D411yescharacteristic
727C2×Dic43C22×D411yescharacteristic
728C2×Dic43C22×D411yescharacteristic
729C2×Dic43C22×D411yescharacteristic
730C2×Dic43C22×D411yescharacteristic
731C2×Dic43C22×D411yescharacteristic
732C2×Dic43C22×D411yescharacteristic
733D172—21no—
734D172—21no—
735D172—42no—
736C4×D43—21no—
737C4×D43—21no—
738C4×D43—41no—
739C4×D43—41no—
740C4×D43—42no—
741C4×D43—42no—
742C4×D43—81no—
743C4×D43—81no—
744C4×D43—81no—
745Dic86—21no—
746Dic86—21no—
747Dic86—21no—
748Dic86—21no—
749Dic86—21no—
750Dic86—21no—
751Dic86—41no—
752Dic86—41no—
753Dic86—41no—
754Dic86—42no—
755Dic86—81no—
756Dic86—81no—
757Dic86—81no—
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#61941—431nomaximal, Sylow
767C22×C43—41no—
768C22×C43—41no—
769C22×C43—41no—
770C22×C43—41no—
771C22×C43—41no—
772C22×C43—41no—
773C22×C43C23×D411yescharacteristic
774C2×D43—21no—
775C2×D43—21no—
776C2×D43—21no—
777C2×D43—41no—
778C2×D43—41no—
779C2×D43—41no—
780C4×C43—21no—
781C4×C43—21no—
782C4×C43—21no—
783C4×C43—21no—
784C4×C43—21no—
785C4×C43—21no—
786C4×C43—41no—
787C4×C43—41no—
788C4×C43—41no—
789C4×C43—41no—
790C4×C43—41no—
791C4×C43—41no—
792C4×C43#58511yescharacteristic
793C4×C43#58511yescharacteristic
794Dic43—21no—
795Dic43—21no—
796Dic43—21no—
797Dic43—21no—
798Dic43—21no—
799Dic43—21no—
800Dic43—21no—
801Dic43—41no—
802Dic43—41no—
803Dic43—41no—
804Dic43—41no—
805Dic43—41no—
806Dic43—41no—
807Dic43—41no—
808#3555—431no—
809#3507—431no—
810#3402—431no—
811#3402D4311yescharacteristic, complemented
812#3401—431no—
813#3401—431no—
814#3398—431no—
815#3398—431no—
816#3398—431no—
817#3398—431no—
818#3376—431no—
819#3376—431no—
820#3374—431no—
821#3374—431no—
822#3371—431no—
823#3371—431no—
824#3369—431no—
825#3369—431no—
826#3225—431no—
827#3225—431no—
828#3223—431no—
829#3223—431no—
830#3219—431no—
831#3216—431no—
832#3125—431no—
833#3125—431no—
834#3120—431no—
835#3120—431no—
836#3117—431no—
837#3113—431no—
838#2987—431no—
839C2×C43—81no—
840C2×C43—81no—
841C2×C43#348711yescharacteristic
842C2×C43#358611yescharacteristic
843C2×C43#358611yescharacteristic
844D43—41no—
845D43—81no—
846#563—861no—
847#563—861no—
848#559—431no—
849#559—431no—
850Q82—431no—
851#557—431no—
852#557—431no—
853#557—431no—
854#557—431no—
855#557—431no—
856#556—431no—
857#556—431no—
858#556—431no—
859#556—431no—
860#556—431no—
861#556—861no—
862#556—861no—
863#556C2×D4311yescharacteristic
864#556C2×D4311yescharacteristic
865#554—431no—
866#554—861no—
867#552—861no—
868#552—861no—
869#552—861no—
870#544—861no—
871#542—431no—
872#542—431no—
873#541—431no—
874#541—431no—
875#541—861no—
876#541—861no—
877#541—861no—
878#539—861no—
879#539—861no—
880#536—431no—
881#536—431no—
882#533—431no—
883#533—431no—
884#532—431no—
885#529—431no—
886#529—861no—
887#529—861no—
888#520—431no—
889#520—431no—
890C2×C4×Q8—431no—
891#497—431no—
892#497—431no—
893#497—431no—
894#497—431no—
895#497—431no—
896#497C2×D4311yescharacteristic
897#497C2×D4311yescharacteristic
898#496—431no—
899#495—431no—
900#495C2×D4311yescharacteristic
901#494—431no—
902#494—431no—
903#491—431no—
904#491—431no—
905#491—431no—
906#490—431no—
907#489—431no—
908#489—431no—
909#489—431no—
910#489—431no—
911#488—431no—
912#488—431no—
913#487—431no—
914#487—431no—
915#484—431no—
916#483—431no—
917#483—431no—
918#481—431no—
919#479—431no—
920#479—431no—
921#479—431no—
922#479—431no—
923#478—431no—
924#478—431no—
925#476—431no—
926#476—431no—
927#475—431no—
928#475—431no—
929#475—431no—
930#475—431no—
931#464—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#464C2×D4311yescharacteristic
942#464C2×D4311yescharacteristic
943#463—431no—
944#463—431no—
945#463—431no—
946#463—431no—
947#463C2×D4311yescharacteristic
948#463C2×D4311yescharacteristic
949#462—431no—
950#462—431no—
951#462—431no—
952#462—431no—
953#462—431no—
954#462—431no—
955#462—431no—
956#462—431no—
957#462—431no—
958#462—431no—
959#462C2×D4311yescharacteristic
960#462C2×D4311yescharacteristic
961#461—431no—
962#461—431no—
963#461—431no—
964#461—431no—
965#460—431no—
966#460—431no—
967#452—431no—
968#452—431no—
969#452—431no—
970#452—431no—
971#452—431no—
972#452—431no—
973#451—431no—
974#451—431no—
975#451—431no—
976#449—431no—
977#449—431no—
978#448—431no—
979#446—431no—
980#446—431no—
981#446—431no—
982#446—431no—
983#446—431no—
984#446—431no—
985#446—431no—
986#446C2×D4311yescharacteristic
987#442—431no—
988#442—431no—
989#441—431no—
990#441—431no—
991#441—431no—
992#441—431no—
993#441—431no—
994#441—431no—
995#441—431no—
996#441—431no—
997#441—431no—
998#441—431no—
999#440—431no—
1000#440—431no—
1001#440C2×D4311yescharacteristic
1002#440C2×D4311yescharacteristic
1003C4×Q16—431no—
1004C4×Q16C2×D4311yescharacteristic
1005C4×SD16—431no—
1006C4×SD16—431no—
1007C4×SD16—431no—
1008C4×SD16—431no—
1009C4×SD16—431no—
1010C4×SD16—431no—
1011#433—431no—
1012#433—431no—
1013#433—431no—
1014#433—431no—
1015#432—431no—
1016#432—431no—
1017C43#6194111yescharacteristic, complemented, Sylow
1018C2×#41—431no—
1019C2×#41—431no—
1020C22×Q8—431no—
1021C2×Q16—431no—
1022C2×Q16—431no—
1023C2×Q16—431no—
1024C2×Q16—431no—
1025C2×Q16—431no—
1026C2×Q16—431no—
1027C2×Q16—431no—
1028C2×Q16—431no—
1029C2×Q16C22×D4311yescharacteristic
1030C2×Q16C22×D4311yescharacteristic
1031C2×Q16C22×D4311yescharacteristic
1032C2×Q16C22×D4311yescharacteristic
1033C2×SD16—431no—
1034C2×SD16—431no—
1035C2×SD16—431no—
1036C2×SD16—431no—
1037C2×SD16—431no—
1038C2×SD16—431no—
1039C2×SD16C22×D4311yescharacteristic
1040C2×SD16C22×D4311yescharacteristic
1041C2×SD16C22×D4311yescharacteristic
1042C2×SD16C22×D4311yescharacteristic
1043C2×D8—431no—
1044C2×D8C22×D4311yescharacteristic
1045C4⋊Q8—431no—
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—431no—
1055C4⋊Q8—431no—
1056C4⋊Q8—861no—
1057C4⋊Q8—861no—
1058C4⋊Q8—861no—
1059C4⋊Q8—861no—
1060C4⋊Q8—861no—
1061C4⋊Q8C22×D4311yescharacteristic
1062C4⋊Q8C22×D4311yescharacteristic
1063#127—431no—
1064#126—21no—
1065#126—21no—
1066#126—21no—
1067#126—21no—
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#126—861no—
1081#126—861no—
1082#126—861no—
1083#126—861no—
1084#126—861no—
1085#125—431no—
1086#125—431no—
1087#125—431no—
1088#125—431no—
1089#125—431no—
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#124—431no—
1109#124—431no—
1110#124—431no—
1111#124—431no—
1112#124—431no—
1113#124—861no—
1114#124—861no—
1115#124—861no—
1116#124—861no—
1117#124C22×D4311yescharacteristic
1118#124C22×D4311yescharacteristic
1119#124C22×D4311yescharacteristic
1120#124C22×D4311yescharacteristic
1121#123—861no—
1122#123—861no—
1123#123—861no—
1124#123—861no—
1125#123—861no—
1126#123—861no—
1127#123—861no—
1128#123—861no—
1129#123—861no—
1130#123—861no—
1131#123—861no—
1132C22⋊Q8—21no—
1133C22⋊Q8—21no—
1134C22⋊Q8—431no—
1135C22⋊Q8—431no—
1136C22⋊Q8—431no—
1137C22⋊Q8—431no—
1138C22⋊Q8—431no—
1139C22⋊Q8—431no—
1140C22⋊Q8—431no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144C22⋊Q8—861no—
1145C22⋊Q8—861no—
1146C22⋊Q8—861no—
1147C22⋊Q8—861no—
1148C22⋊Q8—861no—
1149C22⋊Q8—861no—
1150C22⋊Q8—861no—
1151C22⋊Q8—861no—
1152C22⋊Q8—861no—
1153C22⋊Q8—861no—
1154C22⋊Q8—861no—
1155C22⋊Q8—861no—
1156#121—431no—
1157#121—861no—
1158#121—861no—
1159C4×Q8—431no—
1160C4×Q8—431no—
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—861no—
1176C4×Q8—861no—
1177C4×Q8—861no—
1178C4×Q8—861no—
1179C4×Q8—861no—
1180C4×Q8—861no—
1181C4×Q8—861no—
1182C4×Q8—861no—
1183C4×Q8—861no—
1184C4×Q8C22×D4311yescharacteristic
1185C4×Q8C22×D4311yescharacteristic
1186C4×Q8C22×D4311yescharacteristic
1187C4×Q8C22×D4311yescharacteristic
1188C4×Q8C22×D4311yescharacteristic
1189C4×D4—431no—
1190C4×D4—431no—
1191C4×D4—431no—
1192C4×D4—431no—
1193C4×D4—431no—
1194C4×D4—861no—
1195C4×D4—861no—
1196C4×D4—861no—
1197C4×D4—861no—
1198C4×D4—861no—
1199C4×D4—861no—
1200C4×D4—861no—
1201C4×D4—861no—
1202C4×D4—861no—
1203C4×D4C22×D4311yescharacteristic
1204C4×D4C22×D4311yescharacteristic
1205#117—21no—
1206#117—21no—
1207#117—431no—
1208#117—431no—
1209#117—861no—
1210#117—861no—
1211#117—861no—
1212#117—861no—
1213#117—861no—
1214#117—861no—
1215#117—861no—
1216#117—861no—
1217#117—861no—
1218C2×C4⋊C4—431no—
1219C2×C4⋊C4—861no—
1220C2×C4⋊C4—861no—
1221C2×C4⋊C4—861no—
1222C2×C4⋊C4—861no—
1223C2×C42—431no—
1224C2×C42—861no—
1225#107—431no—
1226#107C22×D4311yescharacteristic
1227#106—431no—
1228#106—431no—
1229#106—431no—
1230#106—431no—
1231#106—431no—
1232#106—431no—
1233C4⋊C8—431no—
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⋊C8C22×D4311yescharacteristic
1243C4⋊C8C22×D4311yescharacteristic
1244C4⋊C8C22×D4311yescharacteristic
1245#103—431no—
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#103—431no—
1262#103—431no—
1263#103C22×D4311yescharacteristic
1264#103C22×D4311yescharacteristic
1265#103C22×D4311yescharacteristic
1266#103C22×D4311yescharacteristic
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#102C22×D4311yescharacteristic
1276#102C22×D4311yescharacteristic
1277C22⋊C8—431no—
1278C22⋊C8—431no—
1279C22⋊C8—431no—
1280C22⋊C8—431no—
1281#97—431no—
1282#97—431no—
1283#97—431no—
1284#97—431no—
1285#97—431no—
1286#97—431no—
1287#97C22×D4311yescharacteristic
1288#97C22×D4311yescharacteristic
1289C4×C8—431no—
1290C4×C8—431no—
1291C4×C8—431no—
1292C4×C8C22×D4311yescharacteristic
1293#41—1721no—
1294#41—1721no—
1295#41—1721no—
1296#41—1721no—
1297C2×Q8—431no—
1298C2×Q8—431no—
1299C2×Q8—431no—
1300C2×Q8—431no—
1301C2×Q8—431no—
1302C2×Q8—431no—
1303C2×Q8—861no—
1304C2×Q8—861no—
1305C2×Q8—861no—
1306C2×Q8—861no—
1307C2×Q8—1721no—
1308C2×Q8—1721no—
1309C2×Q8D4×D4311yescharacteristic
1310C2×Q8C23×D4311yescharacteristic
1311C2×Q8C23×D4311yescharacteristic
1312C2×Q8C23×D4311yescharacteristic
1313C2×Q8C23×D4311yescharacteristic
1314C2×D4—431no—
1315C2×D4—861no—
1316C2×D4—861no—
1317C2×D4—861no—
1318C2×D4—861no—
1319C2×D4—861no—
1320C2×D4C23×D4311yescharacteristic
1321C2×D4C23×D4311yescharacteristic
1322C22×C4—21no—
1323C22×C4—21no—
1324C22×C4—431no—
1325C22×C4—431no—
1326C22×C4—431no—
1327C22×C4—861no—
1328C22×C4—861no—
1329C22×C4—861no—
1330C22×C4—861no—
1331C22×C4—861no—
1332C22×C4—861no—
1333C22×C4—861no—
1334C22×C4—861no—
1335C22×C4—861no—
1336Q16—41no—
1337Q16—41no—
1338Q16—41no—
1339Q16—41no—
1340Q16—1721no—
1341Q16—1721no—
1342Q16—1721no—
1343Q16—1721no—
1344Q16—1721no—
1345Q16—1721no—
1346Q16—1721no—
1347Q16—1721no—
1348SD16—41no—
1349SD16—41no—
1350SD16—41no—
1351SD16—41no—
1352SD16—1721no—
1353SD16—1721no—
1354SD16—1721no—
1355SD16—1721no—
1356SD16—1721no—
1357SD16—1721no—
1358D8—41no—
1359D8—1721no—
1360C2×C8—431no—
1361C2×C8—431no—
1362C2×C8—431no—
1363C2×C8—431no—
1364C2×C8C23×D4311yescharacteristic
1365C2×C8C23×D4311yescharacteristic
1366C2×C8C23×D4311yescharacteristic
1367C2×C8C23×D4311yescharacteristic
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—431no—
1377C4⋊C4—431no—
1378C4⋊C4—431no—
1379C4⋊C4—431no—
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—861no—
1394C4⋊C4—861no—
1395C4⋊C4—861no—
1396C4⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1432C4⋊C4D4×D4311yescharacteristic
1433C4⋊C4D4×D4311yescharacteristic
1434C4⋊C4C23×D4311yescharacteristic
1435C4⋊C4C23×D4311yescharacteristic
1436C22⋊C4—21no—
1437C22⋊C4—21no—
1438C22⋊C4—21no—
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—431no—
1447C22⋊C4—431no—
1448C22⋊C4—431no—
1449C22⋊C4—431no—
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—
1468C22⋊C4—861no—
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—
1491C42C23×D4311yescharacteristic
1492C42C23×D4311yescharacteristic
1493C42C23×D4311yescharacteristic
1494C23—21no—
1495C23—21no—
1496C23—431no—
1497C23—861no—
1498Q8—21no—
1499Q8—21no—
1500Q8—21no—
1501Q8—21no—
1502Q8—21no—
1503Q8—21no—
1504Q8—21no—
1505Q8—21no—
1506Q8—41no—
1507Q8—861no—
1508Q8—861no—
1509Q8—861no—
1510Q8—861no—
1511Q8—861no—
1512Q8—861no—
1513Q8—3441no—
1514Q8—3441no—
1515Q8—3441no—
1516Q8—1721no—
1517Q8—1721no—
1518Q8—1721no—
1519Q8—1722no—
1520D4—21no—
1521D4—21no—
1522D4—21no—
1523D4—21no—
1524D4—861no—
1525D4—861no—
1526D4—3441no—
1527D4—3441no—
1528D4—1722no—
1529D4—1722no—
1530D4—1722no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—42no—
1538C2×C4—81no—
1539C2×C4—431no—
1540C2×C4—431no—
1541C2×C4—431no—
1542C2×C4—431no—
1543C2×C4—431no—
1544C2×C4—431no—
1545C2×C4—431no—
1546C2×C4—861no—
1547C2×C4—861no—
1548C2×C4—861no—
1549C2×C4—861no—
1550C2×C4—861no—
1551C2×C4—861no—
1552C2×C4—861no—
1553C2×C4—861no—
1554C2×C4—861no—
1555C2×C4—3441no—
1556C2×C4—3441no—
1557C2×C4—3441no—
1558C2×C4—3441no—
1559C2×C4—3441no—
1560C2×C4—3441no—
1561C2×C4—1721no—
1562C2×C4—1721no—
1563C2×C4—1722no—
1564C2×C4—1722no—
1565C2×C4—1722no—
1566C2×C4C2×D4×D4311yescharacteristic
1567C2×C4C2×D4×D4311yescharacteristic
1568C2×C4C2×D4×D4311yescharacteristic
1569C2×C4C2×D4×D4311yescharacteristic
1570C2×C4C2×D4×D4311yescharacteristic
1571C2×C4C2×D4×D4311yescharacteristic
1572C2×C4C24×D4311yescharacteristic
1573C8—21no—
1574C8—21no—
1575C8—21no—
1576C8—21no—
1577C8—861no—
1578C8—861no—
1579C8—861no—
1580C8—861no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—861no—
1588C22—861no—
1589C22—861no—
1590C22—1721no—
1591C22—1721no—
1592C22—1721no—
1593C22C22×D4×D4311yescharacteristic
1594C4—21no—
1595C4—21no—
1596C4—21no—
1597C4—21no—
1598C4—21no—
1599C4—21no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—861no—
1607C4—861no—
1608C4—861no—
1609C4—861no—
1610C4—861no—
1611C4—861no—
1612C4—861no—
1613C4—1721no—
1614C4—1721no—
1615C4—1721no—
1616C4—1721no—
1617C4—1721no—
1618C4—1721no—
1619C4—1721no—
1620C4#1458373411yescharacteristic
1621C4#1458373511yescharacteristic
1622C2—81no—
1623C2—81no—
1624C2—3441no—
1625C2—1721no—
1626C2#1914824811yescharacteristic
1627C2#1914937911yescharacteristic
1628C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3402C2
socleC22×C43C23×D4
prime radical#19145631C2
hypercenter#3402D43
hypocenterC43#61941
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3402

Complements

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

NH ≅ G/Ntype
1. #19149071C2semidirect
2. #19148456C2semidirect
3. #19147670C2semidirect
4. #19147667C2semidirect
5. #19147659C2semidirect
6. #19147629C2semidirect
7. #19147623C2semidirect
8. #19147623C2semidirect
9. #19147621C2semidirect
10. #19147427C2semidirect
11. #19147419C2semidirect
12. #19147402C2semidirect
13. #19147396C2semidirect
14. #19147368C2semidirect
15. #19147360C2semidirect
16. #19147337C2semidirect
17. #19147331C2semidirect
18. #19145699C2semidirect
19. #19145697C2semidirect
20. #19145677C2semidirect
21. #19145675C2semidirect
23. #19145601C2semidirect
24. #19144871C2semidirect
25. #19144869C2semidirect
26. #19144815C2semidirect
27. #19144813C2semidirect
28. #19144764C2semidirect
29. #19144724C2semidirect
30. #19143698C2semidirect
31. C43×#3402C2semidirect
811. #3402D43semidirect
1017. C43#61941semidirect

Maximal subgroups

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

subgroupindex
#191490712
#191484562
#191476702
#191476672
#191476592
#191476292
#191476232
#191476212
#191474272
#191474192
#191474022
#191473962
#191473682
#191473602
#191473372
#191473312
#191456992
#191456972
#191456772
#191456752
#191456312
#191456012
#191448712
#191448692
#191448152
#191448132
#191447642
#191447242
#191436982
C43×#34022
#6194143