Finite Group Databasebeta

← #25988683

Subgroups — #25988683

Order 11008.

1766 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149098C211yesmaximal, characteristic, complemented
2#19148465C211yesmaximal, characteristic, complemented
3#19147683C211yesmaximal, characteristic, complemented
4#19147680C211yesmaximal, characteristic, complemented
5#19147668C211yesmaximal, characteristic, complemented
6#19147661C211yesmaximal, characteristic, complemented
7#19147634C211yesmaximal, characteristic, complemented
8#19147632C211yesmaximal, characteristic, complemented
9#19147620C211yesmaximal, characteristic, complemented
10#19147368C211yesmaximal, characteristic, complemented
11#19147356C211yesmaximal, characteristic, complemented
12#19147350C211yesmaximal, characteristic, complemented
13#19147344C211yesmaximal, characteristic, complemented
14#19147328C211yesmaximal, characteristic, complemented
15#19147325C211yesmaximal, characteristic, complemented
16#19147298C211yesmaximal, characteristic, complemented
17#19147297C211yesmaximal, characteristic, complemented
18#19145694C211yesmaximal, characteristic, complemented
19#19145684C211yesmaximal, characteristic, complemented
20#19145660C211yesmaximal, characteristic, complemented
21#19145644C211yesmaximal, characteristic, complemented
22#19145617C211yesmaximal, characteristic, complemented
23#19145609C211yesmaximal, characteristic, complemented
24#19144845C211yesmaximal, characteristic, complemented
25#19144835C211yesmaximal, characteristic, complemented
26#19144783C211yesmaximal, characteristic, complemented
27#19144776C211yesmaximal, characteristic, complemented
28#19144708C211yesmaximal, characteristic, complemented
29#19144701C211yesmaximal, characteristic, complemented
30#19143698C211yesmaximal, characteristic, complemented
31C43×#3397C211yesmaximal, characteristic, complemented
32#14583651—21no—
33#14583650—21no—
34#14583635C2211yescharacteristic
35#14583634C2211yescharacteristic
36#14583632C2211yescharacteristic
37#14583632C2211yescharacteristic
38#14583631C2211yescharacteristic, complemented
39#14583631C2211yescharacteristic, complemented
40#14583628C2211yescharacteristic, complemented
41#14583625C2211yescharacteristic, complemented
42#14583623C2211yescharacteristic, complemented
43#14583609C2211yescharacteristic, complemented
44#14583608C2211yescharacteristic, complemented
45#14583585—21no—
46#14583582—21no—
47#14583570C2211yescharacteristic
48#14583569C2211yescharacteristic
49#14583569C2211yescharacteristic
50#14583546—21no—
51#14583538—21no—
52#14583538—21no—
53#14583537—21no—
54#14583521C2211yescharacteristic
55#14583520—21no—
56#14583518C2211yescharacteristic
57#14583515—21no—
58#14583510C2211yescharacteristic
59#14583500C2211yescharacteristic
60#14583499—21no—
61#14583499—21no—
62#14583498—21no—
63#14583490—21no—
64#14583462C2211yescharacteristic
65#14583462C2211yescharacteristic
66#14583453C2211yescharacteristic
67#14583445—21no—
68#14583444—21no—
69#127×D43C2211yescharacteristic
70#14583436C2211yescharacteristic
71#14583428C2211yescharacteristic
72#14583371C2211yescharacteristic
73#14583371C2211yescharacteristic
74C4×#10621900C2211yescharacteristic
75#14583291C2211yescharacteristic, complemented
76#14583289C2211yescharacteristic
77#14583287C2211yescharacteristic, complemented
78#14583285C2211yescharacteristic
79#14583285C2211yescharacteristic
80#14583285C2211yescharacteristic, complemented
81#14583281C2211yescharacteristic, complemented
82#14583280C2211yescharacteristic, complemented
83#14583274C2211yescharacteristic, complemented
84#14583264C2211yescharacteristic
85#14583263C2211yescharacteristic
86#14583263C2211yescharacteristic, complemented
87#14583262C2211yescharacteristic
88#14583262C2211yescharacteristic
89#14583262C2211yescharacteristic, complemented
90#14583259C2211yescharacteristic, complemented
91#14583257C2211yescharacteristic, complemented
92#14583254C2211yescharacteristic, complemented
93#14583252C2211yescharacteristic, complemented
94#14583245C2211yescharacteristic, complemented
95#14583244C2211yescharacteristic, complemented
96#14583239C2211yescharacteristic
97#14583238C2211yescharacteristic
98#14583226C2211yescharacteristic
99#14583221C2211yescharacteristic
100#14583207C2211yescharacteristic, complemented
101#14583205C2211yescharacteristic, complemented
102#14583202C2211yescharacteristic, complemented
103#14583200C2211yescharacteristic, complemented
104#14583199C2211yescharacteristic, complemented
105#14583199C2211yescharacteristic, complemented
106#14583197C2211yescharacteristic, complemented
107#14583197C2211yescharacteristic, complemented
108#14583189C2211yescharacteristic, complemented
109#14583187C2211yescharacteristic, complemented
110#14583180C2211yescharacteristic, complemented
111#14583178C2211yescharacteristic, complemented
112#14583124C2211yescharacteristic, complemented
113#14583121C2211yescharacteristic, complemented
114#14583119C2211yescharacteristic, complemented
115#14583119C2211yescharacteristic, complemented
116#14583119C2211yescharacteristic, complemented
117#14583118C2211yescharacteristic, complemented
118#14583117C2211yescharacteristic, complemented
119#14583116C2211yescharacteristic, complemented
120#14583116C2211yescharacteristic, complemented
121#14583115C2211yescharacteristic, complemented
122#14583115C2211yescharacteristic, complemented
123#14583114C2211yescharacteristic, complemented
124#14583112C2211yescharacteristic, complemented
125#14583111C2211yescharacteristic, complemented
126#14583101C2211yescharacteristic, complemented
127#14583099C2211yescharacteristic
128#14583097C2211yescharacteristic
129#14583097C2211yescharacteristic
130#14583097C2211yescharacteristic, complemented
131#14583097C2211yescharacteristic, complemented
132#14583097C2211yescharacteristic, complemented
133#14583095C2211yescharacteristic
134#14583093C2211yescharacteristic, complemented
135#14583092C2211yescharacteristic
136#14583092C2211yescharacteristic
137#14583092C2211yescharacteristic, complemented
138#14583092C2211yescharacteristic, complemented
139#14583091C2211yescharacteristic
140#14583091C2211yescharacteristic, complemented
141#14583091C2211yescharacteristic, complemented
142#14583058C2211yescharacteristic
143#14583058C2211yescharacteristic
144#14583048C2211yescharacteristic
145#14583048C2211yescharacteristic
146#14583048C2211yescharacteristic
147#14583048C2211yescharacteristic
148#14583045C2211yescharacteristic
149#14583041C2211yescharacteristic
150#14583034C2211yescharacteristic
151#14583034C2211yescharacteristic
152#14583031C2211yescharacteristic
153#14583031C2211yescharacteristic
154#14583030C2211yescharacteristic, complemented
155#14583029C2211yescharacteristic, complemented
156#14583028C2211yescharacteristic, complemented
157#14583028C2211yescharacteristic, complemented
158#14583027C2211yescharacteristic, complemented
159#14583027C2211yescharacteristic, complemented
160#14583026C2211yescharacteristic, complemented
161#14583012C2211yescharacteristic, complemented
162#14583011C2211yescharacteristic, complemented
163#14583009C2211yescharacteristic, complemented
164#14583009C2211yescharacteristic, complemented
165#14583009C2211yescharacteristic, complemented
166#14583008C2211yescharacteristic, complemented
167#14583004C2211yescharacteristic, complemented
168#14583003C2211yescharacteristic, complemented
169#14583002C2211yescharacteristic, complemented
170#14583001C2211yescharacteristic, complemented
171#14583000C2211yescharacteristic, complemented
172#14583000C2211yescharacteristic, complemented
173#14583000C2211yescharacteristic, complemented
174#14582996C2211yescharacteristic, complemented
175SD16×Dic43C2211yescharacteristic, complemented
176C4×#10621884C2211yescharacteristic, complemented
177#14582984C2211yescharacteristic, complemented
178#14582984C2211yescharacteristic, complemented
179C4×D344C2211yescharacteristic, complemented
180D8×Dic43C2211yescharacteristic, complemented
181C4×#10621882C2211yescharacteristic, complemented
182#14582961C2211yescharacteristic
183#14582959C2211yescharacteristic
184#14582959C2211yescharacteristic
185#14582958C2211yescharacteristic
186#14582955C2211yescharacteristic
187#14582954C2211yescharacteristic
188C43×#556C2211yescharacteristic, complemented
189C43×#550C2211yescharacteristic
190C43×#496C2211yescharacteristic
191C43×#496C2211yescharacteristic, complemented
192C43×#492C2211yescharacteristic, complemented
193C43×#463C2211yescharacteristic, complemented
194C43×#463C2211yescharacteristic, complemented
195C43×#461C2211yescharacteristic, complemented
196C43×#460C2211yescharacteristic
197C43×#460C2211yescharacteristic, complemented
198C43×#459C2211yescharacteristic, complemented
199C43×#446C2211yescharacteristic, complemented
200C43×#440C2211yescharacteristic, complemented
201C43×#440C2211yescharacteristic, complemented
202C4×D8×C43C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621900—21no—
205C2×#10621900—21no—
206C2×#10621900C2311yescharacteristic
207C2×D4×D43—21no—
208C2×D4×D43—21no—
209C2×D4×D43C2311yescharacteristic
210C2×D4×D43C2311yescharacteristic
211C2×#10621885C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621873C2311yescharacteristic
214C2×#10621883C2311yescharacteristic
215C2×#10621884C2311yescharacteristic
216C2×#10621884C2311yescharacteristic
217C2×#10621884C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×D344C2311yescharacteristic
220C2×D344C2311yescharacteristic
221C2×#10621882C2311yescharacteristic
222C2×#10621882C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226#13063325—21no—
227#13063325C2311yescharacteristic
228#13063324—21no—
229#13063324D411yescharacteristic
230#13063324C2311yescharacteristic
231#13063323D411yescharacteristic
232#13063322C2311yescharacteristic
233#13063321—21no—
234#13063321—21no—
235#13063321C2311yescharacteristic
236#13063321C2311yescharacteristic
237#13063321C2311yescharacteristic
238#13063321C2311yescharacteristic
239#13063321C2311yescharacteristic
240#13063320—21no—
241#13063320—21no—
242#13063320—21no—
243#13063320—21no—
244#13063320—21no—
245#13063319—21no—
246#13063318—21no—
247#13063318—21no—
248#13063317—21no—
249#13063317C2311yescharacteristic
250#13063317C2311yescharacteristic
251#13063316—21no—
252#13063316—21no—
253#13063316—21no—
254#13063316C2311yescharacteristic
255#13063316C2311yescharacteristic
256#13063315—21no—
257#13063315—21no—
258#13063315D411yescharacteristic
259#13063315D411yescharacteristic
260#13063314—21no—
261#13063314C2311yescharacteristic
262#13063314C2311yescharacteristic
263#13063313—21no—
264#13063313C2311yescharacteristic
265#13063313C2311yescharacteristic
266#13063312—21no—
267#13063312C2311yescharacteristic
268#13063312C2311yescharacteristic
269#13063311—21no—
270#13063311—21no—
271#13063311—21no—
272#13063311—21no—
273#13063311—21no—
274#13063310—21no—
275#13063310—21no—
276#13063310—21no—
277#13063310—21no—
278#13063309—21no—
279#13063309—21no—
280#13063309—21no—
281#13063308—21no—
282#13063308—21no—
283#13063308—21no—
284#13063307—21no—
285#13063307—21no—
286#13063307—21no—
287#13063307—21no—
288#13063307—21no—
289#13063307—21no—
290#13063306—21no—
291#13063306—21no—
292#13063305—21no—
293#13063305D411yescharacteristic
294#13063304—21no—
295#13063303—21no—
296#13063303—21no—
297#13063303—21no—
298#13063303D411yescharacteristic
299#13063303D411yescharacteristic
300#13063302—21no—
301#13063302—21no—
302#13063302—21no—
303#13063301—21no—
304#13063301D411yescharacteristic
305#13063301C2311yescharacteristic
306#13063301C2311yescharacteristic
307#13063300C2311yescharacteristic
308#13063299—21no—
309#13063299—21no—
310#13063298—21no—
311#13063298—21no—
312#13063298—21no—
313#13063297—21no—
314#13063297—21no—
315#13063297—21no—
316#13063297—21no—
317#13063297—21no—
318#13063297—21no—
319#13063297—21no—
320#13063297—21no—
321#13063296—21no—
322#13063296—21no—
323#13063296C2311yescharacteristic
324#13063293—21no—
325#13063293—21no—
326#13063293—21no—
327#13063293—21no—
328Q8×Dic43C2311yescharacteristic
329Q8×Dic43C2311yescharacteristic
330Q8×Dic43C2311yescharacteristic
331Q8×Dic43C2311yescharacteristic
332C4×Dic86—21no—
333C4×Dic86—21no—
334C4×Dic86C2311yescharacteristic
335C4×Dic86C2311yescharacteristic
336C4×Dic86C2311yescharacteristic
337C4×Dic86C2311yescharacteristic
338#13063290C2311yescharacteristic
339C4×D172—21no—
340C4×D172C2311yescharacteristic
341C4×D172C2311yescharacteristic
342C4×D172C2311yescharacteristic
343C4×D172C2311yescharacteristic
344C4×D172C2311yescharacteristic
345D4×Dic43—21no—
346D4×Dic43C2311yescharacteristic
347D4×Dic43C2311yescharacteristic
348D4×Dic43C2311yescharacteristic
349D4×Dic43C2311yescharacteristic
350D4×Dic43C2311yescharacteristic
351#13063287—21no—
352#13063287C2311yescharacteristic
353#13063287C2311yescharacteristic
354C4×C22⋊D43—21no—
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
357C4×C22⋊D43—21no—
358C4×C22⋊D43—21no—
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4—21no—
364(C22⋊D43)⋊C4—21no—
365#13063283—21no—
366#13063283C2311yescharacteristic
367#13063282—21no—
368#13063282C2311yescharacteristic
369#13063282C2311yescharacteristic
370#13063281—21no—
371#13063281—21no—
372C2×Dic43⋊C4—21no—
373C4⋊C4×D43—21no—
374C2×(C2×D43)⋊C4—21no—
375C2×(C2×D43)⋊C4—21no—
376C22⋊C4×D43—21no—
377C22⋊C4×D43—21no—
378C2×C4×Dic43—21no—
379C42×D43C2311yescharacteristic
380#13063259C2311yescharacteristic
381#13063259C2311yescharacteristic
382#13063258C2311yescharacteristic
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#13063249C2311yescharacteristic
400#13063249C2311yescharacteristic
401#13063248C2311yescharacteristic
402#13063247C2311yescharacteristic
403#13063247C2311yescharacteristic
404#13063247C2311yescharacteristic
405#13063247C2311yescharacteristic
406#13063247C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063246C2311yescharacteristic
410#13063246C2311yescharacteristic
411#13063246C2311yescharacteristic
412#13063246C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063245C2311yescharacteristic
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×#41×C43—21no—
436C2×SD16×C43C2311yescharacteristic
437C2×SD16×C43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×SD16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443C2×D8×C43C2311yescharacteristic
444C2×D8×C43C2311yescharacteristic
445C4⋊Q8×C43C2311yescharacteristic
446#127×C43C2311yescharacteristic
447#127×C43C2311yescharacteristic
448#127×C43C2311yescharacteristic
449#126×C43—21no—
450#126×C43—21no—
451#124×C43C2311yescharacteristic
452#124×C43C2311yescharacteristic
453C22⋊Q8×C43—21no—
454#121×C43—21no—
455#121×C43—21no—
456#121×C43—21no—
457C4×Q8×C43C2311yescharacteristic
458C4×Q8×C43C2311yescharacteristic
459C4×Q8×C43C2311yescharacteristic
460C4×D4×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462C4×D4×C43C2311yescharacteristic
463C4×D4×C43C2311yescharacteristic
464#117×C43—21no—
465#107×C43C2311yescharacteristic
466C4⋊C8×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468C4⋊C8×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#97×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C23×D43—21no—
479C23×D43—21no—
480#41×C43—82no—
481C2×Q8×C43C2×D411yescharacteristic
482C2×Q8×C43C2411yescharacteristic
483C2×Q8×C43C2411yescharacteristic
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43C2411yescharacteristic
491C2×D4×C43C2411yescharacteristic
492C2×D4×C43C2411yescharacteristic
493C2×D4×C43C2411yescharacteristic
494C22×C4×C43—21no—
495C22×C4×C43—21no—
496C22×C4×C43—21no—
497C22×C4×C43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C22×Dic43—21no—
513C22×Dic43—21no—
514C22×Dic43—21no—
515C22×Dic43—21no—
516C22×Dic43—21no—
517C22×Dic43—21no—
518#10621900—41no—
519#10621900—41no—
520#10621900—82no—
521#10621900—82no—
522D4×D43—41no—
523D4×D43—41no—
524D4×D43—41no—
525D4×D43—41no—
526D4×D43—82no—
527D4×D43—82no—
528#10621898—82no—
529C2×D172—21no—
530C2×D172—21no—
531C2×D172—21no—
532C2×D172C2411yescharacteristic
533C2×D172C2411yescharacteristic
534C2×D172C2411yescharacteristic
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43—21no—
539C2×C4×D43—21no—
540C2×C4×D43—21no—
541C2×C4×D43—21no—
542C2×C4×D43C2×D411yescharacteristic
543C2×C4×D43C2×D411yescharacteristic
544C2×C4×D43C2411yescharacteristic
545C2×Dic86—21no—
546C2×Dic86—21no—
547C2×Dic86C2×D411yescharacteristic
548C2×Dic86C2×D411yescharacteristic
549C2×Dic86C2×D411yescharacteristic
550C2×Dic86C2411yescharacteristic
551SD16×C43—41no—
552SD16×C43—41no—
553SD16×C43—41no—
554SD16×C43—41no—
555SD16×C43—41no—
556SD16×C43—41no—
557D8×C43—41no—
558D8×C43—41no—
559D8×C43—41no—
560C2×C8×C43C2411yescharacteristic
561C2×C8×C43C2411yescharacteristic
562C2×C8×C43C2411yescharacteristic
563C2×C8×C43C2411yescharacteristic
564C4⋊C4×C43—21no—
565C4⋊C4×C43—21no—
566C4⋊C4×C43—21no—
567C4⋊C4×C43—21no—
568C4⋊C4×C43C2×D411yescharacteristic
569C4⋊C4×C43C2×D411yescharacteristic
570C4⋊C4×C43C2×D411yescharacteristic
571C4⋊C4×C43C2411yescharacteristic
572C4⋊C4×C43C2411yescharacteristic
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C22⋊C4×C43—21no—
580C22⋊C4×C43—21no—
581C42×C43—21no—
582C42×C43—21no—
583C42×C43C2411yescharacteristic
584C42×C43C2411yescharacteristic
585C42×C43C2411yescharacteristic
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43—21no—
596#10621885—41no—
597#10621885—41no—
598#10621884—41no—
599#10621884—41no—
600#10621884—41no—
601#10621884—41no—
602#10621883—41no—
603#10621882—41no—
604#10621882—41no—
605#10621882—41no—
606#10621882—41no—
607#10621882—41no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4C2×D411yescharacteristic
628(C2×D43)⋊C4C2×D411yescharacteristic
629(C2×D43)⋊C4C2×D411yescharacteristic
630(C2×D43)⋊C4C2×D411yescharacteristic
631C4⋊Dic43—21no—
632C4⋊Dic43—21no—
633C4⋊Dic43—21no—
634C4⋊Dic43—21no—
635C4⋊Dic43—21no—
636C4⋊Dic43—21no—
637C4⋊Dic43—21no—
638C4⋊Dic43C2×D411yescharacteristic
639C4⋊Dic43C2×D411yescharacteristic
640C4⋊Dic43C2×D411yescharacteristic
641C4⋊Dic43C2411yescharacteristic
642C4⋊Dic43C2411yescharacteristic
643C4⋊Dic43C2411yescharacteristic
644C4⋊Dic43C2411yescharacteristic
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663Dic43⋊C4C2×D411yescharacteristic
664Dic43⋊C4C2×D411yescharacteristic
665Dic43⋊C4C2×D411yescharacteristic
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43C2×D411yescharacteristic
674C4×Dic43C2×D411yescharacteristic
675C4×Dic43C2411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C4×Dic43C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682D344—41no—
683D344—41no—
684#10621873—41no—
685C23×C43—21no—
686C23×C43—21no—
687C23×C43—21no—
688C23×C43—21no—
689C22×D43—21no—
690C22×D43—21no—
691C22×D43—21no—
692C22×D43—42no—
693C22×D43—42no—
694C22×D43—81no—
695C22×D43—81no—
696C22×D43—81no—
697C22×D43—81no—
698C22×D43C22×D411yescharacteristic
699Q8×C43—21no—
700Q8×C43—21no—
701Q8×C43—21no—
702Q8×C43—21no—
703Q8×C43—41no—
704D4×C43—21no—
705D4×C43—21no—
706D4×C43—21no—
707D4×C43—21no—
708D4×C43—21no—
709D4×C43—21no—
710D4×C43—21no—
711D4×C43—21no—
712D4×C43—42no—
713D4×C43—81no—
714D4×C43—81no—
715D4×C43—81no—
716D4×C43—81no—
717D4×C43—81no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—42no—
723C2×C4×C43—81no—
724C2×C4×C43—81no—
725C2×C4×C43—81no—
726C2×C4×C43C22×D411yescharacteristic
727C2×C4×C43C22×D411yescharacteristic
728C2×C4×C43C22×D411yescharacteristic
729C2×C4×C43C22×D411yescharacteristic
730C2×C4×C43C22×D411yescharacteristic
731C2×C4×C43C22×D411yescharacteristic
732C2×C4×C43C2511yescharacteristic
733C22⋊D43—42no—
734C22⋊D43—42no—
735C22⋊D43—42no—
736C22⋊D43—42no—
737C22⋊D43—42no—
738C22⋊D43—81no—
739C22⋊D43—81no—
740C22⋊D43—81no—
741C22⋊D43—81no—
742C22⋊D43—81no—
743C22⋊D43—81no—
744C22⋊D43—81no—
745C22⋊D43—81no—
746C22⋊D43—81no—
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—21no—
751C2×Dic43—21no—
752C2×Dic43—42no—
753C2×Dic43—42no—
754C2×Dic43—81no—
755C2×Dic43—81no—
756C2×Dic43—81no—
757C2×Dic43—81no—
758C2×Dic43C22×D411yescharacteristic
759C2×Dic43C22×D411yescharacteristic
760C2×Dic43C22×D411yescharacteristic
761C2×Dic43C22×D411yescharacteristic
762C2×Dic43C22×D411yescharacteristic
763C2×Dic43C22×D411yescharacteristic
764C2×Dic43C22×D411yescharacteristic
765D172—21no—
766D172—21no—
767D172—21no—
768D172—21no—
769D172—21no—
770D172—21no—
771D172—42no—
772D172—81no—
773D172—81no—
774C4×D43—21no—
775C4×D43—21no—
776C4×D43—41no—
777C4×D43—41no—
778C4×D43—81no—
779C4×D43—81no—
780C4×D43—81no—
781C4×D43—81no—
782C4×D43—81no—
783C4×D43—81no—
784C4×D43—81no—
785Dic86—21no—
786Dic86—21no—
787Dic86—41no—
788Dic86—41no—
789Dic86—41no—
790Dic86—81no—
791Dic86—81no—
792C8×C43—21no—
793C8×C43—21no—
794C8×C43—21no—
795C8×C43—21no—
796C43⋊C8—21no—
797C43⋊C8—21no—
798C43⋊C8—21no—
799C43⋊C8—21no—
800#61945—431nomaximal, Sylow
801C22×C43—41no—
802C22×C43—41no—
803C22×C43—41no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43—41no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43—41no—
810C22×C43—41no—
811C22×C43—41no—
812C22×C43—41no—
813C22×C43C23×D411yescharacteristic
814C2×D43—21no—
815C2×D43—21no—
816C2×D43—21no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—41no—
820C2×D43—41no—
821C2×D43—41no—
822C2×D43—41no—
823C2×D43—41no—
824C2×D43—41no—
825C2×D43—41no—
826C2×D43—162no—
827C2×D43—162no—
828C4×C43—21no—
829C4×C43—21no—
830C4×C43—21no—
831C4×C43—21no—
832C4×C43—21no—
833C4×C43—21no—
834C4×C43—41no—
835C4×C43—41no—
836C4×C43—41no—
837C4×C43—41no—
838C4×C43#58511yescharacteristic
839C4×C43#58511yescharacteristic
840Dic43—21no—
841Dic43—21no—
842Dic43—21no—
843Dic43—21no—
844Dic43—21no—
845Dic43—21no—
846Dic43—21no—
847Dic43—41no—
848Dic43—41no—
849Dic43—41no—
850Dic43—41no—
851Dic43—41no—
852#3557—431no—
853#3508—431no—
854#3403—431no—
855#3403—431no—
856#3401—431no—
857#3401—431no—
858#3399—431no—
859#3399—431no—
860#3397—431no—
861#3397D4311yescharacteristic, complemented
862#3371—431no—
863#3371—431no—
864#3370—431no—
865#3370—431no—
866#3368—431no—
867#3368—431no—
868#3366—431no—
869#3366—431no—
870#3224—431no—
871#3224—431no—
872#3222—431no—
873#3220—431no—
874#3217—431no—
875#3217—431no—
876#3123—431no—
877#3122—431no—
878#3118—431no—
879#3118—431no—
880#3111—431no—
881#3111—431no—
882#2987—431no—
883C2×C43—81no—
884C2×C43—81no—
885C2×C43—81no—
886C2×C43—81no—
887C2×C43#348711yescharacteristic
888C2×C43#358511yescharacteristic
889C2×C43#358511yescharacteristic
890D43—41no—
891D43—81no—
892D43—81no—
893D43—81no—
894#563—861no—
895#563—861no—
896#559—431no—
897#559—431no—
898#559—431no—
899#559—431no—
900#559—431no—
901#559—431no—
902#557—431no—
903#557—431no—
904#556—431no—
905#556C2×D4311yescharacteristic, complemented
906#554—431no—
907#554—431no—
908#552—861no—
909#552—861no—
910#550—431no—
911#550—431no—
912#550—431no—
913#550C2×D4311yescharacteristic
914#546—861no—
915#546—861no—
916#546—861no—
917#546—861no—
918#542—431no—
919#542—431no—
920#542—861no—
921#542—861no—
922#541—431no—
923#540—431no—
924#540—861no—
925#540—861no—
926#539—861no—
927#539—861no—
928#535—431no—
929#535—431no—
930#533—431no—
931#532—861no—
932#532—861no—
933C2×#127—431no—
934#529—431no—
935#529—431no—
936#518—431no—
937#518—431no—
938C4×#41—431no—
939#497—431no—
940#496—431no—
941#496—431no—
942#496—431no—
943#496—431no—
944#496—431no—
945#496C2×D4311yescharacteristic
946#496C2×D4311yescharacteristic, complemented
947#495—431no—
948#495—431no—
949#493—431no—
950#492C2×D4311yescharacteristic, complemented
951#490—431no—
952#490—431no—
953#490—431no—
954#490—431no—
955#490—431no—
956#490—431no—
957#489—431no—
958#489—431no—
959#488—431no—
960#488—431no—
961#486—431no—
962#486—431no—
963#485—431no—
964#485—431no—
965#482—431no—
966#482—431no—
967#479—431no—
968#479—431no—
969#478—431no—
970#478—431no—
971#478—431no—
972#478—431no—
973#478—431no—
974#478—431no—
975#476—431no—
976#476—431no—
977#474—431no—
978#474—431no—
979#464—431no—
980#464—431no—
981#464—431no—
982#464—431no—
983#464—431no—
984#464—431no—
985#463—431no—
986#463—431no—
987#463—431no—
988#463—431no—
989#463—431no—
990#463—431no—
991#463—431no—
992#463—431no—
993#463C2×D4311yescharacteristic, complemented
994#463C2×D4311yescharacteristic, complemented
995#461—431no—
996#461C2×D4311yescharacteristic, complemented
997#460—431no—
998#460—431no—
999#460—431no—
1000#460—431no—
1001#460—431no—
1002#460—431no—
1003#460C2×D4311yescharacteristic
1004#460C2×D4311yescharacteristic, complemented
1005#459—431no—
1006#459—431no—
1007#459—431no—
1008#459—431no—
1009#459—431no—
1010#459—431no—
1011#459—431no—
1012#459—431no—
1013#459—431no—
1014#459C2×D4311yescharacteristic, complemented
1015#452—431no—
1016#452—431no—
1017#450—431no—
1018#450—431no—
1019#450—431no—
1020#450—431no—
1021#449—431no—
1022#449—431no—
1023#447—431no—
1024#447—431no—
1025#447—431no—
1026#447—431no—
1027#446—431no—
1028#446—431no—
1029#446—431no—
1030#446—431no—
1031#446—431no—
1032#446—431no—
1033#446—431no—
1034#446C2×D4311yescharacteristic, complemented
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442—431no—
1040#442—431no—
1041#441—431no—
1042#441—431no—
1043#440—431no—
1044#440—431no—
1045#440—431no—
1046#440—431no—
1047#440—431no—
1048#440—431no—
1049#440C2×D4311yescharacteristic, complemented
1050#440C2×D4311yescharacteristic, complemented
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8C2×D4311yescharacteristic, complemented
1059#433—431no—
1060#433—431no—
1061#433—431no—
1062#433—431no—
1063#432—431no—
1064#432—431no—
1065C43#6194511yescharacteristic, complemented, Sylow
1066C2×#41—21no—
1067C2×#41—431no—
1068C2×#41—861no—
1069C2×#41—861no—
1070C2×#41—861no—
1071C22×D4—431no—
1072C22×D4—431no—
1073C22×D4—861no—
1074C22×D4—861no—
1075C2×Q16—431no—
1076C2×Q16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—431no—
1080C2×SD16—431no—
1081C2×SD16—431no—
1082C2×SD16—431no—
1083C2×SD16C22×D4311yescharacteristic
1084C2×SD16C22×D4311yescharacteristic
1085C2×SD16C22×D4311yescharacteristic
1086C2×SD16C22×D4311yescharacteristic
1087C2×SD16C22×D4311yescharacteristic
1088C2×SD16C22×D4311yescharacteristic
1089C2×D8—431no—
1090C2×D8—431no—
1091C2×D8—431no—
1092C2×D8—431no—
1093C2×D8—431no—
1094C2×D8—431no—
1095C2×D8—431no—
1096C2×D8C22×D4311yescharacteristic
1097C2×D8C22×D4311yescharacteristic
1098C2×D8C22×D4311yescharacteristic
1099C4⋊Q8—431no—
1100C4⋊Q8—431no—
1101C4⋊Q8—431no—
1102C4⋊Q8—431no—
1103C4⋊Q8—861no—
1104C4⋊Q8—861no—
1105C4⋊Q8C22×D4311yescharacteristic
1106#127—431no—
1107#127—431no—
1108#127—431no—
1109#127—431no—
1110#127—431no—
1111#127—431no—
1112#127—861no—
1113#127—861no—
1114#127C22×D4311yescharacteristic
1115#127C22×D4311yescharacteristic
1116#127C22×D4311yescharacteristic
1117#126—21no—
1118#126—21no—
1119#126—861no—
1120#126—861no—
1121#126—861no—
1122#126—861no—
1123#126—861no—
1124#126—861no—
1125#126—861no—
1126#126—861no—
1127#125—431no—
1128#125—431no—
1129#125—431no—
1130#125—431no—
1131#125—431no—
1132#125—431no—
1133#125—861no—
1134#125—861no—
1135#125—861no—
1136#125—861no—
1137#125—861no—
1138#125—861no—
1139#124—431no—
1140#124—431no—
1141#124—431no—
1142#124—431no—
1143#124—431no—
1144#124—431no—
1145#124—861no—
1146#124—861no—
1147#124—861no—
1148#124—861no—
1149#124—861no—
1150#124—861no—
1151#124—861no—
1152#124—861no—
1153#124C22×D4311yescharacteristic
1154#124C22×D4311yescharacteristic
1155#123—861no—
1156#123—861no—
1157#123—861no—
1158#123—861no—
1159#123—861no—
1160#123—861no—
1161#123—861no—
1162#123—861no—
1163#123—861no—
1164#123—861no—
1165#123—861no—
1166#123—861no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170#123—861no—
1171#123—861no—
1172#123—861no—
1173C22⋊Q8—21no—
1174C22⋊Q8—431no—
1175C22⋊Q8—431no—
1176C22⋊Q8—431no—
1177C22⋊Q8—431no—
1178C22⋊Q8—431no—
1179C22⋊Q8—431no—
1180C22⋊Q8—861no—
1181C22⋊Q8—861no—
1182C22⋊Q8—861no—
1183C22⋊Q8—861no—
1184C22⋊Q8—861no—
1185C22⋊Q8—861no—
1186C22⋊Q8—861no—
1187C22⋊Q8—861no—
1188C22⋊Q8—861no—
1189#121—21no—
1190#121—21no—
1191#121—21no—
1192#121—431no—
1193#121—431no—
1194#121—861no—
1195#121—861no—
1196#121—861no—
1197#121—861no—
1198#121—861no—
1199#121—861no—
1200#121—861no—
1201#121—861no—
1202#121—861no—
1203#121—861no—
1204#121—861no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#120—861no—
1210#120—861no—
1211#120—861no—
1212#120—861no—
1213C4×Q8—431no—
1214C4×Q8—431no—
1215C4×Q8—431no—
1216C4×Q8—431no—
1217C4×Q8—431no—
1218C4×Q8—431no—
1219C4×Q8—431no—
1220C4×Q8—431no—
1221C4×Q8—431no—
1222C4×Q8—861no—
1223C4×Q8—861no—
1224C4×Q8C22×D4311yescharacteristic
1225C4×Q8C22×D4311yescharacteristic
1226C4×Q8C22×D4311yescharacteristic
1227C4×D4—431no—
1228C4×D4—431no—
1229C4×D4—431no—
1230C4×D4—431no—
1231C4×D4—431no—
1232C4×D4—431no—
1233C4×D4—431no—
1234C4×D4—431no—
1235C4×D4—431no—
1236C4×D4—431no—
1237C4×D4—431no—
1238C4×D4—431no—
1239C4×D4—861no—
1240C4×D4—861no—
1241C4×D4—861no—
1242C4×D4—861no—
1243C4×D4—861no—
1244C4×D4—861no—
1245C4×D4—861no—
1246C4×D4—861no—
1247C4×D4—861no—
1248C4×D4—861no—
1249C4×D4—861no—
1250C4×D4—861no—
1251C4×D4—861no—
1252C4×D4—861no—
1253C4×D4C22×D4311yescharacteristic
1254C4×D4C22×D4311yescharacteristic
1255C4×D4C22×D4311yescharacteristic
1256C4×D4C22×D4311yescharacteristic
1257#117—21no—
1258#117—431no—
1259#117—431no—
1260#117—431no—
1261#117—861no—
1262#117—861no—
1263#117—861no—
1264#117—861no—
1265C2×C4⋊C4—861no—
1266C2×C4⋊C4—861no—
1267C2×C22⋊C4—861no—
1268C2×C22⋊C4—861no—
1269C2×C22⋊C4—861no—
1270C2×C22⋊C4—861no—
1271C2×C42—431no—
1272C2×C42—861no—
1273#107—431no—
1274#107—431no—
1275#107—431no—
1276#107C22×D4311yescharacteristic
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106—431no—
1281C4⋊C8—431no—
1282C4⋊C8—431no—
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8—431no—
1287C4⋊C8—431no—
1288C4⋊C8—431no—
1289C4⋊C8—431no—
1290C4⋊C8C22×D4311yescharacteristic
1291C4⋊C8C22×D4311yescharacteristic
1292C4⋊C8C22×D4311yescharacteristic
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103—431no—
1299#103C22×D4311yescharacteristic
1300#103C22×D4311yescharacteristic
1301#102—431no—
1302#102—431no—
1303#102—431no—
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102—431no—
1316#102—431no—
1317#102—431no—
1318#102—431no—
1319#102—431no—
1320#102—431no—
1321#102C22×D4311yescharacteristic
1322#102C22×D4311yescharacteristic
1323#102C22×D4311yescharacteristic
1324#102C22×D4311yescharacteristic
1325C22⋊C8—431no—
1326C22⋊C8—431no—
1327C22⋊C8—431no—
1328C22⋊C8—431no—
1329#97—431no—
1330#97—431no—
1331#97—431no—
1332#97—431no—
1333#97—431no—
1334#97—431no—
1335#97C22×D4311yescharacteristic
1336#97C22×D4311yescharacteristic
1337C4×C8—431no—
1338C4×C8—431no—
1339C4×C8—431no—
1340C4×C8C22×D4311yescharacteristic
1341C24—861no—
1342C24—861no—
1343#41—82no—
1344#41—3442no—
1345#41—3442no—
1346#41—3442no—
1347#41—1721no—
1348#41—1721no—
1349C2×Q8—431no—
1350C2×Q8—431no—
1351C2×Q8—431no—
1352C2×Q8—431no—
1353C2×Q8—861no—
1354C2×Q8—861no—
1355C2×Q8D4×D4311yescharacteristic
1356C2×Q8C23×D4311yescharacteristic
1357C2×Q8C23×D4311yescharacteristic
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—431no—
1365C2×D4—431no—
1366C2×D4—431no—
1367C2×D4—861no—
1368C2×D4—861no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4—861no—
1378C2×D4—861no—
1379C2×D4—861no—
1380C2×D4—861no—
1381C2×D4—861no—
1382C2×D4—861no—
1383C2×D4—861no—
1384C2×D4—3442no—
1385C2×D4—3442no—
1386C2×D4—1721no—
1387C2×D4—1721no—
1388C2×D4—1721no—
1389C2×D4—1721no—
1390C2×D4C23×D4311yescharacteristic
1391C2×D4C23×D4311yescharacteristic
1392C2×D4C23×D4311yescharacteristic
1393C2×D4C23×D4311yescharacteristic
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—431no—
1399C22×C4—431no—
1400C22×C4—431no—
1401C22×C4—861no—
1402C22×C4—861no—
1403C22×C4—861no—
1404C22×C4—861no—
1405C22×C4—861no—
1406C22×C4—861no—
1407C22×C4—861no—
1408C22×C4—861no—
1409C22×C4—861no—
1410C22×C4—861no—
1411C22×C4—861no—
1412C22×C4—861no—
1413C22×C4—861no—
1414Q16—1721no—
1415Q16—1721no—
1416SD16—41no—
1417SD16—41no—
1418SD16—41no—
1419SD16—41no—
1420SD16—41no—
1421SD16—41no—
1422SD16—1721no—
1423SD16—1721no—
1424SD16—1721no—
1425SD16—1721no—
1426SD16—1721no—
1427SD16—1721no—
1428D8—41no—
1429D8—41no—
1430D8—41no—
1431D8—1721no—
1432D8—1721no—
1433D8—1721no—
1434D8—1721no—
1435D8—1721no—
1436D8—1721no—
1437D8—1721no—
1438C2×C8—431no—
1439C2×C8—431no—
1440C2×C8—431no—
1441C2×C8—431no—
1442C2×C8C23×D4311yescharacteristic
1443C2×C8C23×D4311yescharacteristic
1444C2×C8C23×D4311yescharacteristic
1445C2×C8C23×D4311yescharacteristic
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—431no—
1451C4⋊C4—431no—
1452C4⋊C4—431no—
1453C4⋊C4—431no—
1454C4⋊C4—431no—
1455C4⋊C4—431no—
1456C4⋊C4—431no—
1457C4⋊C4—431no—
1458C4⋊C4—431no—
1459C4⋊C4—431no—
1460C4⋊C4—431no—
1461C4⋊C4—431no—
1462C4⋊C4—431no—
1463C4⋊C4—431no—
1464C4⋊C4—431no—
1465C4⋊C4—431no—
1466C4⋊C4—431no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4—861no—
1477C4⋊C4—861no—
1478C4⋊C4—861no—
1479C4⋊C4—861no—
1480C4⋊C4—861no—
1481C4⋊C4—861no—
1482C4⋊C4—861no—
1483C4⋊C4—861no—
1484C4⋊C4—861no—
1485C4⋊C4D4×D4311yescharacteristic
1486C4⋊C4D4×D4311yescharacteristic
1487C4⋊C4D4×D4311yescharacteristic
1488C4⋊C4C23×D4311yescharacteristic
1489C4⋊C4C23×D4311yescharacteristic
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—431no—
1499C22⋊C4—431no—
1500C22⋊C4—431no—
1501C22⋊C4—431no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4—861no—
1520C22⋊C4—861no—
1521C22⋊C4—861no—
1522C22⋊C4—861no—
1523C22⋊C4—861no—
1524C22⋊C4—861no—
1525C22⋊C4—861no—
1526C22⋊C4—861no—
1527C22⋊C4—861no—
1528C22⋊C4—861no—
1529C22⋊C4—861no—
1530C22⋊C4—861no—
1531C42—21no—
1532C42—21no—
1533C42—431no—
1534C42—431no—
1535C42—431no—
1536C42—431no—
1537C42—431no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42—861no—
1542C42—861no—
1543C42—861no—
1544C42—861no—
1545C42C23×D4311yescharacteristic
1546C42C23×D4311yescharacteristic
1547C42C23×D4311yescharacteristic
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—431no—
1553C23—861no—
1554C23—861no—
1555C23—861no—
1556C23—3441no—
1557C23—3441no—
1558C23—3441no—
1559C23—3441no—
1560C23—1722no—
1561C23—1722no—
1562Q8—21no—
1563Q8—21no—
1564Q8—21no—
1565Q8—21no—
1566Q8—41no—
1567Q8—861no—
1568Q8—861no—
1569Q8—3441no—
1570Q8—3441no—
1571Q8—1721no—
1572Q8—1721no—
1573Q8—1721no—
1574D4—21no—
1575D4—21no—
1576D4—21no—
1577D4—21no—
1578D4—21no—
1579D4—21no—
1580D4—21no—
1581D4—21no—
1582D4—42no—
1583D4—81no—
1584D4—81no—
1585D4—81no—
1586D4—81no—
1587D4—81no—
1588D4—861no—
1589D4—861no—
1590D4—861no—
1591D4—861no—
1592D4—861no—
1593D4—861no—
1594D4—3441no—
1595D4—3441no—
1596D4—3441no—
1597D4—3441no—
1598D4—3441no—
1599D4—3441no—
1600D4—3441no—
1601D4—3441no—
1602D4—3441no—
1603D4—3441no—
1604D4—3441no—
1605D4—1722no—
1606D4—1722no—
1607D4—1722no—
1608D4—1722no—
1609D4—1722no—
1610D4—1722no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—42no—
1616C2×C4—81no—
1617C2×C4—81no—
1618C2×C4—81no—
1619C2×C4—431no—
1620C2×C4—431no—
1621C2×C4—431no—
1622C2×C4—431no—
1623C2×C4—431no—
1624C2×C4—431no—
1625C2×C4—431no—
1626C2×C4—861no—
1627C2×C4—861no—
1628C2×C4—861no—
1629C2×C4—861no—
1630C2×C4—861no—
1631C2×C4—861no—
1632C2×C4—861no—
1633C2×C4—3441no—
1634C2×C4—3441no—
1635C2×C4—3441no—
1636C2×C4—3441no—
1637C2×C4—3441no—
1638C2×C4—3441no—
1639C2×C4—3441no—
1640C2×C4—3441no—
1641C2×C4—3441no—
1642C2×C4—3441no—
1643C2×C4—3441no—
1644C2×C4—1721no—
1645C2×C4—1721no—
1646C2×C4—1722no—
1647C2×C4—1722no—
1648C2×C4C2×D4×D4311yescharacteristic
1649C2×C4C2×D4×D4311yescharacteristic
1650C2×C4C2×D4×D4311yescharacteristic
1651C2×C4C2×D4×D4311yescharacteristic
1652C2×C4C2×D4×D4311yescharacteristic
1653C2×C4C2×D4×D4311yescharacteristic
1654C2×C4C24×D4311yescharacteristic
1655C8—21no—
1656C8—21no—
1657C8—21no—
1658C8—21no—
1659C8—861no—
1660C8—861no—
1661C8—861no—
1662C8—861no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—861no—
1676C22—861no—
1677C22—861no—
1678C22—1721no—
1679C22—1721no—
1680C22—1721no—
1681C22—1721no—
1682C22—1721no—
1683C22—1721no—
1684C22—1721no—
1685C22—1721no—
1686C22—1721no—
1687C22—6882no—
1688C22—6882no—
1689C22C22×D4×D4311yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—21no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—861no—
1701C4—861no—
1702C4—861no—
1703C4—861no—
1704C4—861no—
1705C4—861no—
1706C4—861no—
1707C4—1721no—
1708C4—1721no—
1709C4—1721no—
1710C4—1721no—
1711C4—1721no—
1712C4#1458373411yescharacteristic
1713C4#1458373511yescharacteristic
1714C2—81no—
1715C2—81no—
1716C2—81no—
1717C2—81no—
1718C2—3441no—
1719C2—3441no—
1720C2—3441no—
1721C2—1721no—
1722C2#1914824811yescharacteristic
1723C2#1914937111yescharacteristic
1724C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3397C2
socleC22×C43C23×D4
hypercenter#3397D43
hypocenterC43#61945
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3397

Complements

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

NH ≅ G/Ntype
1. #19149098C2semidirect
2. #19148465C2semidirect
3. #19147683C2semidirect
4. #19147680C2semidirect
5. #19147668C2semidirect
6. #19147661C2semidirect
7. #19147634C2semidirect
8. #19147632C2semidirect
9. #19147620C2semidirect
10. #19147368C2semidirect
11. #19147356C2semidirect
12. #19147350C2semidirect
13. #19147344C2semidirect
14. #19147328C2semidirect
15. #19147325C2semidirect
16. #19147298C2semidirect
17. #19147297C2semidirect
18. #19145694C2semidirect
19. #19145684C2semidirect
20. #19145660C2semidirect
21. #19145644C2semidirect
22. #19145617C2semidirect
23. #19145609C2semidirect
24. #19144845C2semidirect
25. #19144835C2semidirect
26. #19144783C2semidirect
27. #19144776C2semidirect
28. #19144708C2semidirect
29. #19144701C2semidirect
30. #19143698C2semidirect
31. C43×#3397C2semidirect
38. #14583631C22semidirect
39. #14583631C22semidirect
40. #14583628C22semidirect
41. #14583625C22semidirect
42. #14583623C22semidirect
43. #14583609C22semidirect
44. #14583608C22semidirect
75. #14583291C22semidirect
77. #14583287C22semidirect
80. #14583285C22semidirect
81. #14583281C22semidirect
82. #14583280C22semidirect
83. #14583274C22semidirect
86. #14583263C22semidirect
89. #14583262C22semidirect
90. #14583259C22semidirect
91. #14583257C22semidirect
92. #14583254C22semidirect
93. #14583252C22semidirect
94. #14583245C22semidirect
95. #14583244C22semidirect
100. #14583207C22semidirect
101. #14583205C22semidirect
102. #14583202C22semidirect
103. #14583200C22semidirect
104. #14583199C22semidirect
105. #14583199C22semidirect
106. #14583197C22semidirect
107. #14583197C22semidirect
108. #14583189C22semidirect
109. #14583187C22semidirect
110. #14583180C22semidirect
111. #14583178C22semidirect
112. #14583124C22semidirect
113. #14583121C22semidirect
114. #14583119C22semidirect
115. #14583119C22semidirect
116. #14583119C22semidirect
117. #14583118C22semidirect
118. #14583117C22semidirect
119. #14583116C22semidirect
120. #14583116C22semidirect
121. #14583115C22semidirect
122. #14583115C22semidirect
123. #14583114C22semidirect
124. #14583112C22semidirect
125. #14583111C22semidirect
126. #14583101C22semidirect
130. #14583097C22semidirect
131. #14583097C22semidirect
132. #14583097C22semidirect
134. #14583093C22semidirect
137. #14583092C22semidirect
138. #14583092C22semidirect
140. #14583091C22semidirect
141. #14583091C22semidirect
154. #14583030C22semidirect
155. #14583029C22semidirect
156. #14583028C22semidirect
157. #14583028C22semidirect
158. #14583027C22semidirect
159. #14583027C22semidirect
160. #14583026C22semidirect
161. #14583012C22semidirect
162. #14583011C22semidirect
163. #14583009C22semidirect
164. #14583009C22semidirect
165. #14583009C22semidirect
166. #14583008C22semidirect
167. #14583004C22semidirect
168. #14583003C22semidirect
169. #14583002C22semidirect
170. #14583001C22semidirect
171. #14583000C22semidirect
172. #14583000C22semidirect
173. #14583000C22semidirect
174. #14582996C22semidirect
175. SD16×Dic43C22semidirect
176. C4×#10621884C22semidirect
177. #14582984C22semidirect
178. #14582984C22semidirect
179. C4×D344C22semidirect
180. D8×Dic43C22semidirect
181. C4×#10621882C22semidirect
188. C43×#556C22semidirect
191. C43×#496C22semidirect
192. C43×#492C22semidirect
193. C43×#463C22semidirect
194. C43×#463C22semidirect
195. C43×#461C22semidirect
197. C43×#460C22semidirect
198. C43×#459C22semidirect
199. C43×#446C22semidirect
200. C43×#440C22semidirect
201. C43×#440C22semidirect
202. C4×D8×C43C22semidirect
861. #3397D43semidirect
905. #556C2×D43semidirect
946. #496C2×D43semidirect
950. #492C2×D43semidirect
993. #463C2×D43semidirect
994. #463C2×D43semidirect
996. #461C2×D43semidirect
1004. #460C2×D43semidirect
1014. #459C2×D43semidirect
1034. #446C2×D43semidirect
1049. #440C2×D43semidirect
1050. #440C2×D43semidirect
1058. C4×D8C2×D43semidirect
1065. C43#61945semidirect

Maximal subgroups

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

subgroupindex
#191490982
#191484652
#191476832
#191476802
#191476682
#191476612
#191476342
#191476322
#191476202
#191473682
#191473562
#191473502
#191473442
#191473282
#191473252
#191472982
#191472972
#191456942
#191456842
#191456602
#191456442
#191456172
#191456092
#191448452
#191448352
#191447832
#191447762
#191447082
#191447012
#191436982
C43×#33972
#6194543