Finite Group Databasebeta

← #26004886

Subgroups — #26004886

Order 11008.

7190 conjugacy classes of subgroups.

The subgroup lattice has 2038 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148707C211yesmaximal, characteristic, complemented
2#19148703C213yesmaximal, complemented
3#19148699C213yesmaximal, complemented
4#19148697C211yesmaximal, characteristic, complemented
5#19148605C213yesmaximal, complemented
6#19148603C211yesmaximal, characteristic, complemented
7#19148594C213yesmaximal, complemented
8#19148592C211yesmaximal, characteristic, complemented
9#19148443C213yesmaximal, complemented
10#19148441C213yesmaximal, complemented
11#19148402C211yesmaximal, characteristic, complemented
12#19148363C211yesmaximal, characteristic, complemented
13#19148311C213yesmaximal, complemented
14#19148309C213yesmaximal, complemented
15#19148252C211yesmaximal, characteristic, complemented
16#19148248C211yesmaximal, characteristic, complemented
17#19148221C211yesmaximal, characteristic, complemented
18#19148219C213yesmaximal, complemented
19#19148212C211yesmaximal, characteristic, complemented
20#19148208C213yesmaximal, complemented
21#19148193C211yesmaximal, characteristic, complemented
22#19148188C213yesmaximal, complemented
23#19148186C213yesmaximal, complemented
24#19148016C213yesmaximal, complemented
25#19148009C213yesmaximal, complemented
26#19147889C213yesmaximal, complemented
27#19147888C213yesmaximal, complemented
28C4×#13063373C211yesmaximal, characteristic, complemented
29C4×#13063372C211yesmaximal, characteristic, complemented
30C4×#41×D43C211yesmaximal, characteristic, complemented
31C43×#3480C211yesmaximal, characteristic, complemented
32C2×#13063373C2211yescharacteristic
33C2×#13063372C2211yescharacteristic
34C2×#41×D43C2211yescharacteristic
35#14583634C2213yescomplemented
36#14583633C2216yescomplemented
37#14583632C2216yescomplemented
38#14583632C2213yescomplemented
39#14583631C2213yescomplemented
40Q8×Dic86C2211yescharacteristic, complemented
41#14583629C2213yescomplemented
42#14583627C2213yescomplemented
43#14583626C2213yescomplemented
44#14583626C2213yescomplemented
45#14583625C2211yescharacteristic, complemented
46#14583625C2211yescharacteristic, complemented
47#14583621C2216yescomplemented
48#14583621C2213yescomplemented
49#14583620C2213yescomplemented
50#14583619C2213yescomplemented
51#14583618C2213yescomplemented
52#14583617C2213yescomplemented
53#14583616C2216yescomplemented
54#14583616C2216yescomplemented
55#14583615C2213yescomplemented
56#14583614C2213yescomplemented
57#14583613C2213yescomplemented
58#14583613C2216yescomplemented
59#14583613C2213yescomplemented
60#14583612C2213yescomplemented
61#14583612C2213yescomplemented
62#14583611C2216yescomplemented
63#14583611C2216yescomplemented
64#14583602C2213yescomplemented
65#14583600C2216yescomplemented
66#14583599C2213yescomplemented
67#14583598C2216yescomplemented
68#14583598C2216yescomplemented
69#14583596C2213yescomplemented
70#14583595C2213yescomplemented
71#14583595C2213yescomplemented
72#14583594C2216yescomplemented
73#14583593C2213yescomplemented
74#14583591C2213yescomplemented
75#14583590C2213yescomplemented
76#14583587C2213yescomplemented
77#14583586C2216yescomplemented
78#14583585C2216yescomplemented
79#14583584C2213yescomplemented
80#14583571C2211yescharacteristic
81#14583570C2213yes—
82#14583570C2213yescomplemented
83#14583569C2213yes—
84#14583569C2213yescomplemented
85#14583568C2211yescharacteristic
86#14583568C2211yescharacteristic
87#14583568C2211yescharacteristic, complemented
88#14583567C2213yes—
89#14583567C2213yes—
90#14583567C2213yescomplemented
91#14583567C2216yescomplemented
92Q8×C22⋊D43C2211yescharacteristic, complemented
93#14583562C2213yescomplemented
94#14583561C2211yescharacteristic
95#14583561C2211yescharacteristic, complemented
96#14583560C2211yescharacteristic
97#14583559C2213yes—
98#14583558C2213yes—
99#14583558C2213yescomplemented
100#14583557C2213yes—
101#14583557C2213yescomplemented
102#14583556C2211yescharacteristic
103#14583555C2213yes—
104#14583550C2213yescomplemented
105#14583549C2213yescomplemented
106#14583547C2216yescomplemented
107#14583529C2213yes—
108#14583526C2213yes—
109#14583523C2213yescomplemented
110#14583522C2213yescomplemented
111#14583518C2213yescomplemented
112#14583516C2213yescomplemented
113#14583515C2216yescomplemented
114#14583513C2216yescomplemented
115#14583505C2213yescomplemented
116#14583503C2213yescomplemented
117#14583502C2213yescomplemented
118#14583502C2213yescomplemented
119#14583501C2216yescomplemented
120#14583499C2216yescomplemented
121#14583488C2216yes—
122#14583485C2216yes—
123#14583483C2216yes—
124#14583481C2216yes—
125#14583479C2213yes—
126#14583478C2213yes—
127#14583467C2213yes—
128#14583465C2213yes—
129#14583465C2213yes—
130#14583462C2213yes—
131#14583455C2213yes—
132#14583453C2213yes—
133#14583453C2213yescomplemented
134#14583453C2213yescomplemented
135#14583452C2213yescomplemented
136#14583451C2213yescomplemented
137#14583449C2213yescomplemented
138#14583448C2213yes—
139#14583446C2213yes—
140#14583446C2213yescomplemented
141#14583446C2213yescomplemented
142#14583446C2216yescomplemented
143#14583446C2213yescomplemented
144#14583446C2213yescomplemented
145#14583445C2213yescomplemented
146#14583445C2216yescomplemented
147#14583444C2213yescomplemented
148#14583436C2213yes—
149#14583436C2213yescomplemented
150#14583436C2213yescomplemented
151#14583434C2213yescomplemented
152#14583433C2213yescomplemented
153#14583433C2213yescomplemented
154#14583432C2216yes—
155#14583432C2216yescomplemented
156#14583431C2213yes—
157#14583431C2213yescomplemented
158#14583431C2213yescomplemented
159#14583429C2213yescomplemented
160#14583429C2213yescomplemented
161#14583429C2213yescomplemented
162#14583429C2213yescomplemented
163#14583429C2216yescomplemented
164#14583428C2213yescomplemented
165#14583427C2211yescharacteristic
166#14583427C2213yes—
167#14583427C2213yescomplemented
168#14583427C2213yescomplemented
169#14583427C2216yescomplemented
170#14583426C2216yescomplemented
171#14583412C2213yes—
172#14583411C2213yes—
173#14583409C2213yes—
174#14583408C2213yes—
175#14583408C2213yes—
176#14583408C2213yes—
177#14583408C2213yes—
178#14583408C2216yes—
179#14583407C2216yes—
180#14583406C2213yes—
181#14583382C2211yescharacteristic, complemented
182#14583381C2213yes—
183#14583381C2211yescharacteristic, complemented
184#14583380C2213yes—
185#14583380C2213yescomplemented
186#14583379C2213yes—
187#14583378C2213yes—
188#14583378C2213yescomplemented
189#14583377C2211yescharacteristic, complemented
190#14583376C2213yescomplemented
191#14583375C2211yescharacteristic
192#14583375C2211yescharacteristic
193#14583375C2211yescharacteristic, complemented
194#14583375C2213yescomplemented
195#41×Dic43C2211yescharacteristic
196C4×#10621902C2213yes—
197C4×#10621902C2211yescharacteristic
198C4×#10621902C2211yescharacteristic
199C4×#10621902C2211yescharacteristic, complemented
200C4×#10621898C2213yes—
201C4×#10621898C2213yes—
202C4×#10621898C2213yes—
203C4×#10621898C2213yescomplemented
204C4×#10621898C2213yescomplemented
205C4×#10621898C2213yescomplemented
206C4×#10621898C2213yescomplemented
207#14583367C2213yes—
208#14583367C2216yescomplemented
209C4×#10621900C2213yes—
210C4×#10621900C2213yes—
211C4×#10621900C2213yes—
212C4×#10621900C2213yescomplemented
213C4×#10621900C2216yescomplemented
214C2×C4×Dic86C2213yescomplemented
215C4×Q8×D43C2211yescharacteristic
216C4×Q8×D43C2211yescharacteristic
217C4×Q8×D43C2211yescharacteristic, complemented
218C4×Q8×D43C2213yescomplemented
219C4×D4×D43C2213yes—
220C4×D4×D43C2213yes—
221#117×D43C2213yes—
222C2×C42×D43C2213yes—
223C43×#559C2213yescomplemented
224C43×#557C2211yescharacteristic, complemented
225C43×#556C2213yescomplemented
226C43×#553C2213yescomplemented
227C43×#553C2213yescomplemented
228C43×#550C2211yescharacteristic
229C43×#548C2211yescharacteristic
230C43×#548C2211yescharacteristic, complemented
231C43×#532C2213yescomplemented
232C43×#529C2213yescomplemented
233C43×#529C2213yescomplemented
234C4×#41×C43C2211yescharacteristic
235C4×#41×C43C2211yescharacteristic, complemented
236C4×#41×C43C2213yescomplemented
237C2×C4×Q8×C43C2211yescharacteristic, complemented
238#13063373—28no—
239#13063372—28no—
240C2×#10621902C2311yescharacteristic
241C2×#10621902C2311yescharacteristic
242C2×#10621902C2313yes—
243C2×#10621898C2313yes—
244C2×#10621898C2313yes—
245C2×#10621898C2313yes—
246C2×#10621898C2313yes—
247C2×#10621898C2313yes—
248C2×#10621898C2313yes—
249C2×#10621898C2316yes—
250C2×#10621898C2313yes—
251C2×#10621900C2313yes—
252C2×#10621900C2313yes—
253C2×#10621900C2313yes—
254C2×#10621900C2316yes—
255#41×D43—28no—
256C22×Dic86C2313yes—
257C2×Q8×D43C2311yescharacteristic
258C2×Q8×D43C2313yes—
259C2×Q8×D43C2311yescharacteristic
260C2×D4×D43C2313yes—
261C22×C4×D43C2313yes—
262C22×C4×D43C2313yes—
263C22×C4×D43C2313yes—
264#13063325C2313yes—
265#13063324C2313yes—
266#13063324C2313yes—
267#13063324C2313yes—
268#13063324C2316yes—
269#13063324C2313yes—
270#13063324C2313yes—
271#13063324C2313yes—
272#13063323C2313yes—
273#13063323C2313yes—
274#13063323C2316yes—
275#13063322C2313yes—
276#13063321C2316yes—
277#13063321C2316yes—
278#13063321C2313yes—
279#13063321C2313yes—
280#13063321C2313yes—
281#13063321C2313yes—
282#13063320C2316yes—
283#13063320C2316yes—
284#13063320C2316yes—
285#13063320C2313yes—
286#13063320C2313yes—
287#13063320C2313yes—
288#13063320C2311yescharacteristic
289#13063319C2316yes—
290#13063319C2316yes—
291#13063318C2316yes—
292#13063318C2316yes—
293#13063318C2316yes—
294#13063318C2313yes—
295#13063318C2313yes—
296#13063318C2313yes—
297#13063318C2311yescharacteristic
298#13063317C2313yes—
299#13063317C2313yes—
300#13063316C2313yes—
301#13063316C2313yes—
302#13063316C2313yes—
303#13063316C2313yes—
304#13063315C2316yes—
305#13063315C2316yes—
306#13063315C2316yes—
307#13063315C2313yes—
308#13063315C2313yes—
309#13063315C2311yescharacteristic
310#13063315C2313yes—
311#13063314C2313yes—
312#13063314C2313yes—
313#13063314C2316yes—
314#13063313C2313yes—
315#13063313C2313yes—
316#13063313C2316yes—
317#13063312C2313yes—
318#13063312C2313yes—
319#13063312C2316yes—
320#13063311C2316yes—
321#13063311C2316yes—
322#13063311C2313yes—
323#13063311C2313yes—
324#13063311C2316yes—
325#13063311C2316yes—
326#13063311C2316yes—
327#13063311C2316yes—
328#13063311C2316yes—
329#13063311C2311yescharacteristic
330#13063311C2313yes—
331#13063310C2316yes—
332#13063310C2316yes—
333#13063310C2313yes—
334#13063310C2313yes—
335#13063310C2311yescharacteristic
336#13063310C2313yes—
337#13063310C2316yes—
338#13063309C2316yes—
339#13063309C2313yes—
340#13063309C2313yes—
341#13063308C2316yes—
342#13063308C2316yes—
343#13063307C2316yes—
344#13063307C2316yes—
345#13063307C2313yes—
346#13063307C2313yes—
347#13063307C2311yescharacteristic
348#13063307C2313yes—
349#13063307C2316yes—
350#13063306C2316yes—
351#13063306C2313yes—
352#13063306C2313yes—
353#13063305C2313yes—
354#13063305C2313yes—
355#13063305C2313yes—
356#13063305C2313yes—
357#13063304C2313yes—
358#13063304C2313yes—
359#13063303C2313yes—
360#13063303C2316yes—
361#13063303C2313yes—
362#13063303C2316yes—
363#13063303C2313yes—
364#13063303C2311yescharacteristic
365#13063303C2316yes—
366#13063302C2313yes—
367#13063302C2313yes—
368#13063302C2316yes—
369#13063302C2313yes—
370#13063302C2313yes—
371#13063302C2316yes—
372#13063301C2313yes—
373#13063301C2313yes—
374#13063301C2313yes—
375#13063301C2313yes—
376#13063300C2313yes—
377#13063300C2313yes—
378#13063300C2313yes—
379#13063300C2313yes—
380#13063300C2316yes—
381#13063300C2313yes—
382#13063300C2313yes—
383#13063299C2313yes—
384#13063299C2313yes—
385#13063299C2313yes—
386#13063299C2313yes—
387#13063299C2316yes—
388#13063298C2316yes—
389#13063298C2316yes—
390#13063298C2316yes—
391#13063298C2313yes—
392#13063298C2316yes—
393#13063298C2316yes—
394#13063298C2313yes—
395#13063298C2316yes—
396#13063298C2313yes—
397#13063298C2311yescharacteristic
398#13063298C2316yes—
399#13063297C2316yes—
400#13063297C2316yes—
401#13063297C2316yes—
402#13063297C2313yes—
403#13063297C2313yes—
404#13063297C2316yes—
405#13063297C2313yes—
406#13063297C2313yes—
407#13063297C2316yes—
408#13063297C2316yes—
409#13063296C2313yes—
410#13063296C2313yes—
411#13063296C2313yes—
412#13063296C2313yes—
413#13063296C2316yes—
414#13063296C2313yes—
415#13063296C2313yes—
416#13063295C2316yes—
417#13063295C2313yes—
418#13063295C2313yes—
419#13063293C2313yes—
420#13063293C2313yes—
421#13063293C2316yes—
422Q8×Dic43C2311yescharacteristic
423Q8×Dic43C2311yescharacteristic
424Q8×Dic43C2311yescharacteristic
425Q8×Dic43C2313yes—
426Q8×Dic43C2311yescharacteristic
427Q8×Dic43C2313yes—
428C4×Dic86C2313yes—
429C4×Dic86C2313yes—
430C4×Dic86C2313yes—
431C4×Dic86C2313yes—
432C4×Dic86C2313yes—
433C4×Dic86C2316yes—
434C4×Dic86C2313yes—
435C4×Dic86C2313yes—
436C4×Dic86C2313yes—
437C4×Dic86C2313yes—
438C4×Dic86C2313yes—
439C4×Dic86C2313yes—
440C4×Dic86C2313yes—
441C4×Dic86C2313yes—
442C4×Dic86C2313yes—
443C4×Dic86C2311yescharacteristic
444C4×Dic86C2313yes—
445#13063290C2313yes—
446#13063290C2313yes—
447#13063290C2313yes—
448#13063290C2316yes—
449#13063290C2313yes—
450#13063290C2316yes—
451#13063290C2316yes—
452#13063290C2313yes—
453#13063290C2313yes—
454#13063290C2316yes—
455C4×D172C2313yes—
456C4×D172C2313yes—
457C4×D172C2313yes—
458C4×D172C2313yes—
459C4×D172C2313yes—
460C4×D172C2313yes—
461C4×D172C2313yes—
462C4×D172C2311yescharacteristic
463C4×D172C2313yes—
464C4×D172C2313yes—
465C4×D172C2313yes—
466C4×D172C2313yes—
467C4×D172C2313yes—
468C4×D172C2313yes—
469D4×Dic43C2316yes—
470D4×Dic43C2313yes—
471D4×Dic43C2313yes—
472D4×Dic43C2313yes—
473D4×Dic43C2313yes—
474#13063287C2316yes—
475#13063287C2313yes—
476#13063287C2313yes—
477#13063287C2316yes—
478#13063287C2313yes—
479#13063287C2316yes—
480#13063287C2313yes—
481C4×C22⋊D43C2313yes—
482C4×C22⋊D43C2313yes—
483C4×C22⋊D43C2313yes—
484C4×C22⋊D43C2313yes—
485C4×C22⋊D43C2313yes—
486C4×C22⋊D43C2313yes—
487C4×C22⋊D43C2316yes—
488C4×C22⋊D43C2313yes—
489C4×C22⋊D43C2316yes—
490C4×C22⋊D43C2313yes—
491C4×C22⋊D43C2316yes—
492C4×C22⋊D43C2313yes—
493C4×C22⋊D43C2313yes—
494C4×C22⋊D43C2313yes—
495C4×C22⋊D43C2316yes—
496C4×C22⋊D43C2311yescharacteristic
497C4×C22⋊D43C2313yes—
498C4×C22⋊D43C2313yes—
499C4×C22⋊D43C2313yes—
500C4×C22⋊D43C2313yes—
501C4×C22⋊D43C2313yes—
502C4×C22⋊D43C2311yescharacteristic
503C4×C22⋊D43C2313yes—
504C4×C22⋊D43C2313yes—
505(C22⋊D43)⋊C4C2316yes—
506(C22⋊D43)⋊C4C2316yes—
507(C22⋊D43)⋊C4C2316yes—
508(C22⋊D43)⋊C4C2316yes—
509(C22⋊D43)⋊C4C2316yes—
510(C22⋊D43)⋊C4C2316yes—
511(C22⋊D43)⋊C4C2316yes—
512(C22⋊D43)⋊C4C2316yes—
513(C22⋊D43)⋊C4C2316yes—
514(C22⋊D43)⋊C4C2316yes—
515#13063284C2313yes—
516#13063284C2313yes—
517#13063284C2313yes—
518#13063284C2313yes—
519#13063284C2313yes—
520#13063284C2313yes—
521#13063284C2313yes—
522#13063283C2313yes—
523#13063283C2316yes—
524#13063283C2313yes—
525#13063283C2313yes—
526#13063283C2313yes—
527#13063283C2313yes—
528#13063283C2313yes—
529#13063283C2316yes—
530#13063282C2313yes—
531#13063282C2313yes—
532#13063282C2316yes—
533#13063282C2316yes—
534#13063282C2313yes—
535#13063282C2313yes—
536#13063282C2313yes—
537#13063282C2316yes—
538#13063282C2313yes—
539#13063282C2313yes—
540#13063282C2313yes—
541#13063282C2313yes—
542#13063282C2311yescharacteristic
543#13063281C2316yes—
544#13063281C2316yes—
545#13063281C2316yes—
546#13063281C2316yes—
547#13063281C2316yes—
548C2×C4⋊Dic43C2313yes—
549C2×Dic43⋊C4C2316yes—
550C4⋊C4×D43C2316yes—
551C4⋊C4×D43C2313yes—
552C4⋊C4×D43C2313yes—
553C4⋊C4×D43C2313yes—
554C4⋊C4×D43C2313yes—
555C22⋊C4×D43C2316yes—
556C2×C4×Dic43C2313yes—
557C2×C4×Dic43C2313yes—
558C2×C4×Dic43C2313yes—
559C2×C4×Dic43C2316yes—
560C42×D43C2311yescharacteristic
561C42×D43C2313yes—
562C42×D43C2313yes—
563C42×D43C2313yes—
564C42×D43C2313yes—
565C42×D43C2313yes—
566C42×D43C2313yes—
567C42×D43C2313yes—
568C42×D43C2316yes—
569C42×D43C2313yes—
570C42×D43C2313yes—
571C2×#41×C43C2311yescharacteristic
572C2×#41×C43C2311yescharacteristic
573C2×#41×C43C2313yes—
574C22×Q8×C43C2311yescharacteristic
575C4⋊Q8×C43C2313yes—
576#127×C43C2313yes—
577#126×C43C2316yes—
578#126×C43C2316yes—
579#125×C43C2313yes—
580#125×C43C2313yes—
581#124×C43C2313yes—
582#124×C43C2313yes—
583#124×C43C2316yes—
584#123×C43C2316yes—
585#123×C43C2316yes—
586C22⋊Q8×C43C2313yes—
587C22⋊Q8×C43C2313yes—
588#121×C43C2313yes—
589#121×C43C2313yes—
590#121×C43C2313yes—
591#121×C43C2313yes—
592#121×C43C2316yes—
593C4×Q8×C43C2311yescharacteristic
594C4×Q8×C43C2311yescharacteristic
595C4×Q8×C43C2311yescharacteristic
596C4×Q8×C43C2313yes—
597C4×Q8×C43C2313yes—
598C4×Q8×C43C2311yescharacteristic
599C4×Q8×C43C2313yes—
600C4×Q8×C43C2313yes—
601C4×D4×C43C2313yes—
602C4×D4×C43C2313yes—
603C4×D4×C43C2313yes—
604C4×D4×C43C2313yes—
605C4×D4×C43C2313yes—
606C4×D4×C43C2313yes—
607C4×D4×C43C2313yes—
608C4×D4×C43C2313yes—
609C4×D4×C43C2313yes—
610C4×D4×C43C2313yes—
611C4×D4×C43C2316yes—
612#117×C43C2313yes—
613#117×C43C2311yescharacteristic
614#117×C43C2313yes—
615#117×C43C2313yes—
616#117×C43C2313yes—
617C2×C4⋊C4×C43C2313yes—
618C2×C42×C43C2313yes—
619C2×C42×C43C2313yes—
620C2×C42×C43C2313yes—
621C23×D43C2413yes—
622#41×C43—24no—
623#41×C43—24no—
624#41×C43—46no—
625C2×Q8×C43—24no—
626C2×Q8×C43C2413yes—
627C2×Q8×C43C2413yes—
628C2×Q8×C43C2411yescharacteristic
629C2×D4×C43C2413yes—
630C2×D4×C43C2413yes—
631C2×D4×C43C2413yes—
632C2×D4×C43C2413yes—
633C2×D4×C43C2413yes—
634C2×D4×C43C2416yes—
635C22×C4×C43C2411yescharacteristic
636C22×C4×C43C2413yes—
637C22×C4×C43C2413yes—
638C22×C4×C43C2413yes—
639C22×C4×C43C2413yes—
640C22×C4×C43C2413yes—
641C22×C4×C43C2413yes—
642C22×C4×C43C2413yes—
643C22×C4×C43C2413yes—
644C2×C22⋊D43C2413yes—
645C2×C22⋊D43C2416yes—
646C2×C22⋊D43C2413yes—
647C2×C22⋊D43C2413yes—
648C2×C22⋊D43C2411yescharacteristic
649C2×C22⋊D43C2413yes—
650C2×C22⋊D43C2411yescharacteristic
651C2×C22⋊D43C2416yes—
652C2×C22⋊D43C2416yes—
653C2×C22⋊D43C2416yes—
654C2×C22⋊D43C2413yes—
655C2×C22⋊D43C2413yes—
656C2×C22⋊D43C2413yes—
657C2×C22⋊D43C2413yes—
658C22×Dic43C2413yes—
659C22×Dic43C2413yes—
660C22×Dic43C2416yes—
661C22×Dic43C2413yes—
662C22×Dic43C2416yes—
663#10621902—24no—
664#10621902—24no—
665#10621902—212no—
666Q8×D43—24no—
667Q8×D43—212no—
668Q8×D43#4118yescomplemented
669#10621900—212no—
670#10621900—212no—
671#10621900—212no—
672#10621900—412no—
673D4×D43—212no—
674#10621898—212no—
675#10621898—212no—
676#10621898—212no—
677#10621898—212no—
678#10621898—46no—
679#10621898—46no—
680#10621898—412no—
681#10621898—46no—
682C2×D172C2413yes—
683C2×D172C2413yes—
684C2×D172C2413yes—
685C2×D172C2411yescharacteristic
686C2×D172C2416yes—
687C2×D172C2413yes—
688C2×D172C2413yes—
689C2×D172C2413yes—
690C2×C4×D43—212no—
691C2×C4×D43—46no—
692C2×C4×D43—46no—
693C2×C4×D43C2411yescharacteristic
694C2×C4×D43C2411yescharacteristic
695C2×C4×D43C2411yescharacteristic
696C2×C4×D43C2413yes—
697C2×C4×D43C2411yescharacteristic
698C2×C4×D43C2413yes—
699C2×C4×D43C2413yes—
700C2×C4×D43C2413yes—
701C2×C4×D43C2413yes—
702C2×C4×D43C2416yes—
703C2×C4×D43C2413yes—
704C2×C4×D43C2413yes—
705C2×C4×D43C2413yes—
706C2×C4×D43C2413yes—
707C2×C4×D43C2413yes—
708C2×C4×D43C2413yes—
709C2×C4×D43C2413yes—
710C2×C4×D43C2413yes—
711C2×C4×D43C2416yes—
712C2×C4×D43C2413yes—
713C2×Dic86—212no—
714C2×Dic86C2413yes—
715C2×Dic86C2413yes—
716C2×Dic86C2413yes—
717C2×Dic86C2411yescharacteristic
718C2×Dic86C2413yes—
719C2×Dic86C2416yes—
720C2×Dic86C2413yes—
721C2×Dic86C2413yes—
722C4⋊C4×C43C2413yes—
723C4⋊C4×C43C2413yes—
724C4⋊C4×C43C2416yes—
725C4⋊C4×C43C2411yescharacteristic
726C4⋊C4×C43C2411yescharacteristic
727C4⋊C4×C43C2413yes—
728C4⋊C4×C43C2413yes—
729C4⋊C4×C43C2413yes—
730C4⋊C4×C43C2413yes—
731C4⋊C4×C43C2413yes—
732C4⋊C4×C43C2413yes—
733C4⋊C4×C43C2416yes—
734C22⋊C4×C43C2411yescharacteristic
735C22⋊C4×C43C2411yescharacteristic
736C22⋊C4×C43C2413yes—
737C22⋊C4×C43C2413yes—
738C22⋊C4×C43C2416yes—
739C22⋊C4×C43C2416yes—
740C22⋊C4×C43C2413yes—
741C22⋊C4×C43C2413yes—
742C22⋊C4×C43C2416yes—
743C22⋊C4×C43C2416yes—
744C42×C43C2411yescharacteristic
745C42×C43C2411yescharacteristic
746C42×C43C2413yes—
747C42×C43C2413yes—
748C42×C43C2413yes—
749C42×C43C2413yes—
750C42×C43C2413yes—
751C42×C43C2413yes—
752C42×C43C2413yes—
753C42×C43C2413yes—
754C22⋊Dic43C2416yes—
755C22⋊Dic43C2413yes—
756C22⋊Dic43C2413yes—
757C22⋊Dic43C2413yes—
758C22⋊Dic43C2416yes—
759C22⋊Dic43C2411yescharacteristic
760C22⋊Dic43C2411yescharacteristic
761C22⋊Dic43C2413yes—
762C22⋊Dic43C2413yes—
763C22⋊Dic43C2413yes—
764C22⋊Dic43C2413yes—
765C22⋊Dic43C2413yes—
766(C2×D43)⋊C4C2416yes—
767(C2×D43)⋊C4C2416yes—
768(C2×D43)⋊C4C2411yescharacteristic
769(C2×D43)⋊C4C2411yescharacteristic
770(C2×D43)⋊C4C2411yescharacteristic
771(C2×D43)⋊C4C2411yescharacteristic
772(C2×D43)⋊C4C2413yes—
773(C2×D43)⋊C4C2413yes—
774(C2×D43)⋊C4C2413yes—
775(C2×D43)⋊C4C2413yes—
776(C2×D43)⋊C4C2413yes—
777(C2×D43)⋊C4C2413yes—
778(C2×D43)⋊C4C2416yes—
779(C2×D43)⋊C4C2413yes—
780(C2×D43)⋊C4C2413yes—
781(C2×D43)⋊C4C2416yes—
782(C2×D43)⋊C4C2416yes—
783(C2×D43)⋊C4C2411yescharacteristic
784(C2×D43)⋊C4C2411yescharacteristic
785(C2×D43)⋊C4C2413yes—
786(C2×D43)⋊C4C2413yes—
787(C2×D43)⋊C4C2413yes—
788(C2×D43)⋊C4C2413yes—
789(C2×D43)⋊C4C2413yes—
790(C2×D43)⋊C4C2413yes—
791(C2×D43)⋊C4C2416yes—
792C4⋊Dic43C2413yes—
793C4⋊Dic43C2413yes—
794C4⋊Dic43C2413yes—
795C4⋊Dic43C2413yes—
796C4⋊Dic43C2413yes—
797C4⋊Dic43C2413yes—
798C4⋊Dic43C2413yes—
799C4⋊Dic43C2413yes—
800C4⋊Dic43C2411yescharacteristic
801C4⋊Dic43C2411yescharacteristic
802C4⋊Dic43C2413yes—
803C4⋊Dic43C2413yes—
804C4⋊Dic43C2413yes—
805C4⋊Dic43C2413yes—
806Dic43⋊C4C2416yes—
807Dic43⋊C4C2413yes—
808Dic43⋊C4C2413yes—
809Dic43⋊C4C2416yes—
810Dic43⋊C4C2416yes—
811Dic43⋊C4C2413yes—
812Dic43⋊C4C2413yes—
813Dic43⋊C4C2413yes—
814Dic43⋊C4C2413yes—
815Dic43⋊C4C2413yes—
816Dic43⋊C4C2413yes—
817Dic43⋊C4C2413yes—
818Dic43⋊C4C2416yes—
819Dic43⋊C4C2411yescharacteristic
820Dic43⋊C4C2411yescharacteristic
821Dic43⋊C4C2413yes—
822Dic43⋊C4C2411yescharacteristic
823Dic43⋊C4C2411yescharacteristic
824Dic43⋊C4C2413yes—
825Dic43⋊C4C2413yes—
826Dic43⋊C4C2416yes—
827Dic43⋊C4C2416yes—
828Dic43⋊C4C2411yescharacteristic
829Dic43⋊C4C2411yescharacteristic
830Dic43⋊C4C2413yes—
831Dic43⋊C4C2413yes—
832C4×Dic43C2413yes—
833C4×Dic43C2411yescharacteristic
834C4×Dic43C2411yescharacteristic
835C4×Dic43C2411yescharacteristic
836C4×Dic43C2411yescharacteristic
837C4×Dic43C2413yes—
838C4×Dic43C2413yes—
839C4×Dic43C2413yes—
840C4×Dic43C2413yes—
841C4×Dic43C2413yes—
842C4×Dic43C2413yes—
843C4×Dic43C2413yes—
844C4×Dic43C2413yes—
845C4×Dic43C2413yes—
846C4×Dic43C2416yes—
847C4×Dic43C2413yes—
848C4×Dic43C2413yes—
849C4×Dic43C2413yes—
850C4×Dic43C2413yes—
851C4×Dic43C2416yes—
852C4×Dic43C2416yes—
853C4×Dic43C2416yes—
854C23×C43C2511yescharacteristic
855C23×C43C2513yes—
856C23×C43C2513yes—
857C22×D43—26no—
858C22×D43—43no—
859C22×D43—43no—
860C22×D43C2513yes—
861C22×D43C2513yes—
862C22×D43C2511yescharacteristic
863C22×D43C2511yescharacteristic
864Q8×C43—26no—
865Q8×C43—43no—
866Q8×C43C2×#4114yes—
867D4×C43—26no—
868D4×C43—26no—
869D4×C43—46no—
870D4×C43—43no—
871D4×C43—43no—
872D4×C43—43no—
873C2×C4×C43—26no—
874C2×C4×C43—26no—
875C2×C4×C43—26no—
876C2×C4×C43—26no—
877C2×C4×C43—26no—
878C2×C4×C43—22no—
879C2×C4×C43—43no—
880C2×C4×C43—43no—
881C2×C4×C43—43no—
882C2×C4×C43C2511yescharacteristic
883C2×C4×C43C2511yescharacteristic
884C2×C4×C43C2513yes—
885C2×C4×C43C2513yes—
886C2×C4×C43C2513yes—
887C2×C4×C43C2513yes—
888C2×C4×C43C2513yes—
889C2×C4×C43C2511yescharacteristic
890C2×C4×C43C2511yescharacteristic
891C2×C4×C43C2511yescharacteristic
892C2×C4×C43C2513yes—
893C2×C4×C43C2511yescharacteristic
894C22⋊D43—22no—
895C22⋊D43—26no—
896C22⋊D43—26no—
897C22⋊D43—212no—
898C22⋊D43—26no—
899C22⋊D43—22no—
900C22⋊D43—26no—
901C22⋊D43—43no—
902C22⋊D43—43no—
903C22⋊D43—46no—
904C22⋊D43—43no—
905C22⋊D43—43no—
906C22⋊D43—46no—
907C22⋊D43—46no—
908C2×Dic43—212no—
909C2×Dic43—26no—
910C2×Dic43—26no—
911C2×Dic43—43no—
912C2×Dic43—46no—
913C2×Dic43C2511yescharacteristic
914C2×Dic43C2511yescharacteristic
915C2×Dic43C2513yes—
916C2×Dic43C2513yes—
917C2×Dic43C2511yescharacteristic
918C2×Dic43C2513yes—
919C2×Dic43C2511yescharacteristic
920C2×Dic43C2513yes—
921C2×Dic43C2513yes—
922C2×Dic43C2511yescharacteristic
923C2×Dic43C2513yes—
924C2×Dic43C2511yescharacteristic
925D172—22no—
926D172—26no—
927D172—26no—
928D172—26no—
929D172—43no—
930D172—43no—
931D172—46no—
932D172—43no—
933C4×D43—22no—
934C4×D43—26no—
935C4×D43—26no—
936C4×D43—26no—
937C4×D43—22no—
938C4×D43—26no—
939C4×D43—26no—
940C4×D43—22no—
941C4×D43—26no—
942C4×D43—212no—
943C4×D43—22no—
944C4×D43—26no—
945C4×D43—43no—
946C4×D43—43no—
947C4×D43—43no—
948C4×D43—43no—
949C4×D43—43no—
950C4×D43—43no—
951C4×D43—46no—
952C4×D43C2×#41112yes—
953Dic86—26no—
954Dic86—26no—
955Dic86—26no—
956Dic86—22no—
957Dic86—26no—
958Dic86—43no—
959Dic86—46no—
960Dic86C2×#41112yes—
961#62793—431nomaximal, Sylow
962C22×C43—23no—
963C22×C43—23no—
964C22×C43—21no—
965C22×C43—23no—
966C22×C43—23no—
967C22×C43—23no—
968C22×C43—21no—
969C22×C43—23no—
970C22×C43—21no—
971C22×C43C2611yescharacteristic
972C2×D43—21no—
973C2×D43—21no—
974C2×D43—23no—
975C2×D43—23no—
976C2×D43—21no—
977C2×D43—23no—
978C2×D43—23no—
979C2×D43—23no—
980C2×D43—21no—
981C2×D43—21no—
982C2×D43—23no—
983C2×D43—412no—
984C2×D43C22×#4112yes—
985C4×C43—21no—
986C4×C43—23no—
987C4×C43—21no—
988C4×C43—23no—
989C4×C43—21no—
990C4×C43—23no—
991C4×C43—23no—
992C4×C43—21no—
993C4×C43—23no—
994C4×C43—21no—
995C4×C43C22×#4116yes—
996C4×C43#58512yes—
997Dic43—21no—
998Dic43—23no—
999Dic43—21no—
1000Dic43—21no—
1001Dic43—23no—
1002Dic43—21no—
1003Dic43—23no—
1004Dic43—23no—
1005Dic43—21no—
1006Dic43—23no—
1007Dic43C22×#4116yes—
1008Dic43#58512yes—
1009#3524—433no—
1010#3524—431no—
1011#3524—433no—
1012#3524—431no—
1013#3518—433no—
1014#3518—431no—
1015#3517—433no—
1016#3517—431no—
1017#3506—433no—
1018#3506—433no—
1019#3502—431no—
1020#3497—431no—
1021#3493—433no—
1022#3493—433no—
1023#3487—431no—
1024#3487—431no—
1025#3483—433no—
1026#3483—431no—
1027#3482—433no—
1028#3482—431no—
1029#3480—433no—
1030#3480—431no—
1031#3480—433no—
1032#3480D4311yescharacteristic, complemented
1033#3460—433no—
1034#3460—433no—
1035#3444—433no—
1036#3444—433no—
1037C4×2−1+4—431no—
1038C4×2−1+4—431no—
1039C2×C4×#41—431no—
1040C2×C43—43no—
1041C2×C43—43no—
1042C2×C43—41no—
1043C2×C43C23×#4111yescharacteristic
1044C2×C43C2×#58511yescharacteristic
1045C2×C43C2×#58511yescharacteristic
1046D43—22no—
1047D43—43no—
1048D43—41no—
1049D43—43no—
1050C2×2−1+4—431no—
1051C2×2−1+4—431no—
1052C22×#41—431no—
1053#559—433no—
1054#559—436no—
1055#559—433no—
1056#559—436no—
1057#559—433no—
1058#559C2×D4313yescomplemented
1059Q82—433no—
1060Q82—431no—
1061#557—433no—
1062#557—433no—
1063#557—431no—
1064#557—431no—
1065#557—433no—
1066#557C2×D4311yescharacteristic, complemented
1067#556—436no—
1068#556—436no—
1069#556—433no—
1070#556—433no—
1071#556—436no—
1072#556—433no—
1073#556—433no—
1074#556—433no—
1075#556C2×D4313yescomplemented
1076#555—433no—
1077#555—436no—
1078#555—436no—
1079#555—433no—
1080#555—436no—
1081#555—433no—
1082#555—433no—
1083#555—433no—
1084#555—433no—
1085#553—436no—
1086#553—433no—
1087#553—436no—
1088#553—433no—
1089#553—433no—
1090#553—433no—
1091#553—436no—
1092#553—436no—
1093#553—433no—
1094#553—433no—
1095#553C2×D4313yescomplemented
1096#553C2×D4313yescomplemented
1097#552—436no—
1098#552—433no—
1099#552—436no—
1100#552—433no—
1101#552—433no—
1102#552—433no—
1103#550—431no—
1104#550—431no—
1105#550—431no—
1106#550—433no—
1107#550—433no—
1108#550—433no—
1109#550—433no—
1110#550—433no—
1111#550—436no—
1112#550—431no—
1113#550—433no—
1114#550—433no—
1115#550C2×D4311yescharacteristic
1116D4×Q8—431no—
1117D4×Q8—433no—
1118#548—431no—
1119#548—431no—
1120#548—433no—
1121#548—433no—
1122#548—433no—
1123#548—433no—
1124#548—431no—
1125#548—431no—
1126#548—433no—
1127#548—433no—
1128#548C2×D4311yescharacteristic
1129#548C2×D4311yescharacteristic, complemented
1130#547—436no—
1131#547—433no—
1132#547—433no—
1133#544—433no—
1134#544—433no—
1135#542—433no—
1136#542—436no—
1137#542—436no—
1138#542—433no—
1139#542—433no—
1140#542—433no—
1141#540—433no—
1142#540—433no—
1143#540—436no—
1144#540—436no—
1145#540—433no—
1146#540—433no—
1147#538—436no—
1148#538—436no—
1149#538—436no—
1150#538—436no—
1151#537—433no—
1152#537—433no—
1153#535—433no—
1154#535—433no—
1155#535—433no—
1156#535—433no—
1157#533—433no—
1158#533—433no—
1159#533—433no—
1160#533—433no—
1161#533—433no—
1162#533—433no—
1163#532—433no—
1164#532—436no—
1165#532—433no—
1166#532—433no—
1167#532—433no—
1168#532—433no—
1169#532—433no—
1170#532—436no—
1171#532—433no—
1172#532—433no—
1173#532—433no—
1174#532C2×D4313yescomplemented
1175#529—436no—
1176#529—436no—
1177#529—433no—
1178#529—433no—
1179#529—436no—
1180#529—433no—
1181#529—433no—
1182#529—433no—
1183#529—433no—
1184#529—433no—
1185#529—433no—
1186#529—433no—
1187#529—433no—
1188#529—433no—
1189#529—436no—
1190#529—433no—
1191#529—433no—
1192#529—431no—
1193#529—433no—
1194#529—433no—
1195#529—436no—
1196#529—433no—
1197#529—433no—
1198#529C2×D4313yescomplemented
1199#529C2×D4313yescomplemented
1200#525—433no—
1201#525—436no—
1202#525—433no—
1203#525—433no—
1204#525—436no—
1205#525—433no—
1206#525—433no—
1207#525—433no—
1208#525—433no—
1209#525—433no—
1210#520—431no—
1211#520—433no—
1212#520—431no—
1213#520—433no—
1214#520—433no—
1215#520—433no—
1216#520—433no—
1217#520—433no—
1218#519—431no—
1219#519—431no—
1220#519—431no—
1221#519—433no—
1222#519—431no—
1223#519—433no—
1224C4×#41—431no—
1225C4×#41—431no—
1226C4×#41—431no—
1227C4×#41—433no—
1228C4×#41—431no—
1229C4×#41—433no—
1230C4×#41—433no—
1231C4×#41—433no—
1232C4×#41—433no—
1233C4×#41—436no—
1234C4×#41—433no—
1235C4×#41—436no—
1236C4×#41—433no—
1237C4×#41—433no—
1238C4×#41—433no—
1239C4×#41—433no—
1240C4×#41—433no—
1241C4×#41—433no—
1242C4×#41—433no—
1243C4×#41C2×D4311yescharacteristic
1244C4×#41C2×D4311yescharacteristic, complemented
1245C4×#41C2×D4313yescomplemented
1246C2×C4×Q8—431no—
1247C2×C4×Q8—431no—
1248C2×C4×Q8—431no—
1249C2×C4×Q8—433no—
1250C2×C4×Q8—433no—
1251C2×C4×Q8C2×D4311yescharacteristic, complemented
1252C2×C4×D4—433no—
1253C2×C4×D4—433no—
1254C2×#117—433no—
1255C22×C42—433no—
1256C43#6279311yescharacteristic, complemented, Sylow
12572−1+4—868no—
12582−1+4—868no—
1259C2×#41—431no—
1260C2×#41—433no—
1261C2×#41—431no—
1262C2×#41—433no—
1263C2×#41—433no—
1264C2×#41—433no—
1265C2×#41—436no—
1266C2×#41—433no—
1267C2×#41—433no—
1268C2×#41—433no—
1269C2×#41—433no—
1270C2×#41—433no—
1271C2×#41—436no—
1272C2×#41—433no—
1273C2×#41—433no—
1274C2×#41—868no—
1275C2×#41C22×D4311yescharacteristic
1276C2×#41C22×D4311yescharacteristic
1277C2×#41C22×D4313yes—
1278C22×Q8—431no—
1279C22×Q8—433no—
1280C22×Q8—431no—
1281C22×Q8—433no—
1282C22×Q8C22×D4311yescharacteristic
1283C22×D4—433no—
1284C23×C4—433no—
1285C23×C4—433no—
1286C23×C4—433no—
1287C4⋊Q8—433no—
1288C4⋊Q8—433no—
1289C4⋊Q8—436no—
1290C4⋊Q8—433no—
1291C4⋊Q8—433no—
1292C4⋊Q8—433no—
1293C4⋊Q8—433no—
1294C4⋊Q8—436no—
1295C4⋊Q8—433no—
1296C4⋊Q8—433no—
1297C4⋊Q8—433no—
1298C4⋊Q8C22×D4313yes—
1299#127—433no—
1300#127—433no—
1301#127—436no—
1302#127—436no—
1303#127—433no—
1304#127—433no—
1305#127—433no—
1306#127C22×D4313yes—
1307#126—433no—
1308#126—431no—
1309#126—433no—
1310#126—433no—
1311#126—436no—
1312#126—436no—
1313#126—436no—
1314#126—433no—
1315#126—431no—
1316#126—433no—
1317#126—433no—
1318#126—436no—
1319#126—436no—
1320#126—436no—
1321#126—436no—
1322#126—436no—
1323#126C22×D4316yes—
1324#126C22×D4316yes—
1325#125—433no—
1326#125—431no—
1327#125—436no—
1328#125—433no—
1329#125—433no—
1330#125—433no—
1331#125—433no—
1332#125—436no—
1333#125—436no—
1334#125—433no—
1335#125—433no—
1336#125—433no—
1337#125—433no—
1338#125C22×D4313yes—
1339#125C22×D4313yes—
1340#124—433no—
1341#124—433no—
1342#124—436no—
1343#124—433no—
1344#124—433no—
1345#124—436no—
1346#124—433no—
1347#124—431no—
1348#124—433no—
1349#124—433no—
1350#124—436no—
1351#124—436no—
1352#124—436no—
1353#124—436no—
1354#124—436no—
1355#124—436no—
1356#124—436no—
1357#124—433no—
1358#124—433no—
1359#124—436no—
1360#124C22×D4313yes—
1361#124C22×D4313yes—
1362#124C22×D4316yes—
1363#123—433no—
1364#123—433no—
1365#123—436no—
1366#123—436no—
1367#123—436no—
1368#123—433no—
1369#123—431no—
1370#123—436no—
1371#123—433no—
1372#123—433no—
1373#123—436no—
1374#123—436no—
1375#123—433no—
1376#123—431no—
1377#123—436no—
1378#123—433no—
1379#123—433no—
1380#123—433no—
1381#123—433no—
1382#123—436no—
1383#123—436no—
1384#123—436no—
1385#123C22×D4316yes—
1386#123C22×D4316yes—
1387C22⋊Q8—433no—
1388C22⋊Q8—433no—
1389C22⋊Q8—433no—
1390C22⋊Q8—433no—
1391C22⋊Q8—433no—
1392C22⋊Q8—433no—
1393C22⋊Q8—433no—
1394C22⋊Q8—431no—
1395C22⋊Q8—436no—
1396C22⋊Q8—433no—
1397C22⋊Q8—433no—
1398C22⋊Q8—436no—
1399C22⋊Q8—433no—
1400C22⋊Q8—433no—
1401C22⋊Q8—433no—
1402C22⋊Q8—436no—
1403C22⋊Q8—433no—
1404C22⋊Q8—436no—
1405C22⋊Q8—433no—
1406C22⋊Q8—433no—
1407C22⋊Q8—433no—
1408C22⋊Q8—433no—
1409C22⋊Q8—436no—
1410C22⋊Q8C22×D4313yes—
1411C22⋊Q8C22×D4313yes—
1412#121—433no—
1413#121—433no—
1414#121—436no—
1415#121—433no—
1416#121—433no—
1417#121—433no—
1418#121—433no—
1419#121—433no—
1420#121—433no—
1421#121—436no—
1422#121—433no—
1423#121—436no—
1424#121—433no—
1425#121—436no—
1426#121—436no—
1427#121—436no—
1428#121—436no—
1429#121—433no—
1430#121—433no—
1431#121—433no—
1432#121—433no—
1433#121—436no—
1434#121—433no—
1435#121—433no—
1436#121—433no—
1437#121—433no—
1438#121—433no—
1439#121—433no—
1440#121—436no—
1441#121—433no—
1442#121—431no—
1443#121—436no—
1444#121—433no—
1445#121—433no—
1446#121—436no—
1447#121—436no—
1448#121—436no—
1449#121—436no—
1450#121—436no—
1451#121—436no—
1452#121C22×D4313yes—
1453#121C22×D4313yes—
1454#121C22×D4313yes—
1455#121C22×D4313yes—
1456#121C22×D4316yes—
1457#120—433no—
1458#120—433no—
1459#120—436no—
1460#120—436no—
1461#120—433no—
1462#120—433no—
1463C4×Q8—431no—
1464C4×Q8—431no—
1465C4×Q8—431no—
1466C4×Q8—433no—
1467C4×Q8—433no—
1468C4×Q8—431no—
1469C4×Q8—433no—
1470C4×Q8—433no—
1471C4×Q8—433no—
1472C4×Q8—436no—
1473C4×Q8—433no—
1474C4×Q8—433no—
1475C4×Q8—433no—
1476C4×Q8—436no—
1477C4×Q8—436no—
1478C4×Q8—436no—
1479C4×Q8—433no—
1480C4×Q8—433no—
1481C4×Q8—433no—
1482C4×Q8—433no—
1483C4×Q8—433no—
1484C4×Q8—433no—
1485C4×Q8—433no—
1486C4×Q8—436no—
1487C4×Q8—433no—
1488C4×Q8—431no—
1489C4×Q8—433no—
1490C4×Q8—433no—
1491C4×Q8—433no—
1492C4×Q8—433no—
1493C4×Q8—433no—
1494C4×Q8—433no—
1495C4×Q8—433no—
1496C4×Q8C22×D4311yescharacteristic
1497C4×Q8C22×D4313yes—
1498C4×Q8C22×D4311yescharacteristic
1499C4×Q8C22×D4311yescharacteristic
1500C4×Q8C22×D4313yes—
1501C4×Q8C22×D4311yescharacteristic
1502C4×Q8C22×D4313yes—
1503C4×Q8C22×D4313yes—
1504C4×D4—433no—
1505C4×D4—433no—
1506C4×D4—433no—
1507C4×D4—433no—
1508C4×D4—436no—
1509C4×D4—436no—
1510C4×D4—436no—
1511C4×D4—433no—
1512C4×D4—431no—
1513C4×D4—433no—
1514C4×D4—433no—
1515C4×D4—433no—
1516C4×D4—431no—
1517C4×D4—433no—
1518C4×D4—433no—
1519C4×D4—433no—
1520C4×D4—433no—
1521C4×D4—436no—
1522C4×D4—436no—
1523C4×D4—433no—
1524C4×D4—433no—
1525C4×D4—433no—
1526C4×D4—433no—
1527C4×D4—433no—
1528C4×D4—433no—
1529C4×D4—433no—
1530C4×D4—433no—
1531C4×D4—433no—
1532C4×D4—433no—
1533C4×D4—433no—
1534C4×D4—433no—
1535C4×D4—436no—
1536C4×D4—433no—
1537C4×D4—433no—
1538C4×D4—436no—
1539C4×D4—436no—
1540C4×D4—436no—
1541C4×D4—436no—
1542C4×D4—436no—
1543C4×D4—436no—
1544C4×D4—436no—
1545C4×D4—436no—
1546C4×D4—436no—
1547C4×D4—436no—
1548C4×D4—436no—
1549C4×D4—436no—
1550C4×D4—433no—
1551C4×D4—433no—
1552C4×D4—433no—
1553C4×D4—431no—
1554C4×D4—433no—
1555C4×D4—433no—
1556C4×D4—433no—
1557C4×D4—433no—
1558C4×D4—433no—
1559C4×D4—433no—
1560C4×D4—433no—
1561C4×D4—433no—
1562C4×D4—433no—
1563C4×D4—433no—
1564C4×D4C22×D4313yes—
1565C4×D4C22×D4313yes—
1566C4×D4C22×D4313yes—
1567C4×D4C22×D4316yes—
1568C4×D4C22×D4313yes—
1569C4×D4C22×D4313yes—
1570C4×D4C22×D4313yes—
1571C4×D4C22×D4313yes—
1572C4×D4C22×D4313yes—
1573C4×D4C22×D4313yes—
1574C4×D4C22×D4313yes—
1575#117—433no—
1576#117—433no—
1577#117—433no—
1578#117—433no—
1579#117—433no—
1580#117—433no—
1581#117—433no—
1582#117—433no—
1583#117—433no—
1584#117—433no—
1585#117—433no—
1586#117—436no—
1587#117—433no—
1588#117—433no—
1589#117—436no—
1590#117—436no—
1591#117—436no—
1592#117—436no—
1593#117—436no—
1594#117—436no—
1595#117—436no—
1596#117—433no—
1597#117—431no—
1598#117—433no—
1599#117—433no—
1600#117—433no—
1601#117—433no—
1602#117—436no—
1603#117—436no—
1604#117—433no—
1605#117—433no—
1606#117—433no—
1607#117—433no—
1608#117C22×D4313yes—
1609#117C22×D4313yes—
1610#117C22×D4311yescharacteristic
1611#117C22×D4313yes—
1612#117C22×D4313yes—
1613C2×C4⋊C4—436no—
1614C2×C4⋊C4—433no—
1615C2×C4⋊C4—433no—
1616C2×C4⋊C4—433no—
1617C2×C4⋊C4—436no—
1618C2×C4⋊C4—433no—
1619C2×C4⋊C4—433no—
1620C2×C4⋊C4C22×D4313yes—
1621C2×C22⋊C4—436no—
1622C2×C42—436no—
1623C2×C42—433no—
1624C2×C42—433no—
1625C2×C42—433no—
1626C2×C42—433no—
1627C2×C42—433no—
1628C2×C42—433no—
1629C2×C42—436no—
1630C2×C42—433no—
1631C2×C42—433no—
1632C2×C42—433no—
1633C2×C42—433no—
1634C2×C42—433no—
1635C2×C42—433no—
1636C2×C42—431no—
1637C2×C42C22×D4313yes—
1638C2×C42C22×D4313yes—
1639C2×C42C22×D4313yes—
1640C24—433no—
1641#41—24no—
1642#41—24no—
1643#41—46no—
1644#41—8612no—
1645#41—8612no—
1646#41—8612no—
1647#41—8612no—
1648#41—8612no—
1649#41—8612no—
1650#41—8612no—
1651#41—8612no—
1652#41—864no—
1653#41—864no—
1654#41—1726no—
1655#41—17212no—
1656#41—1726no—
1657#41—1726no—
1658#41—17212no—
1659C2×Q8—24no—
1660C2×Q8—438no—
1661C2×Q8—433no—
1662C2×Q8—433no—
1663C2×Q8—433no—
1664C2×Q8—433no—
1665C2×Q8—433no—
1666C2×Q8—431no—
1667C2×Q8—433no—
1668C2×Q8—436no—
1669C2×Q8—8612no—
1670C2×Q8—8612no—
1671C2×Q8—864no—
1672C2×Q8C23×D4313yes—
1673C2×Q8C23×D4313yes—
1674C2×Q8C23×D4311yescharacteristic
1675C2×D4—431no—
1676C2×D4—433no—
1677C2×D4—436no—
1678C2×D4—433no—
1679C2×D4—433no—
1680C2×D4—431no—
1681C2×D4—433no—
1682C2×D4—433no—
1683C2×D4—433no—
1684C2×D4—436no—
1685C2×D4—436no—
1686C2×D4—433no—
1687C2×D4—433no—
1688C2×D4—436no—
1689C2×D4—433no—
1690C2×D4—431no—
1691C2×D4—433no—
1692C2×D4—433no—
1693C2×D4—433no—
1694C2×D4—433no—
1695C2×D4—436no—
1696C2×D4—433no—
1697C2×D4—8612no—
1698C2×D4C23×D4313yes—
1699C2×D4C23×D4313yes—
1700C2×D4C23×D4316yes—
1701C2×D4C23×D4313yes—
1702C2×D4C23×D4313yes—
1703C2×D4C23×D4313yes—
1704C22×C4—433no—
1705C22×C4—433no—
1706C22×C4—433no—
1707C22×C4—436no—
1708C22×C4—433no—
1709C22×C4—436no—
1710C22×C4—431no—
1711C22×C4—431no—
1712C22×C4—433no—
1713C22×C4—433no—
1714C22×C4—433no—
1715C22×C4—436no—
1716C22×C4—433no—
1717C22×C4—433no—
1718C22×C4—431no—
1719C22×C4—431no—
1720C22×C4—433no—
1721C22×C4—433no—
1722C22×C4—433no—
1723C22×C4—433no—
1724C22×C4—433no—
1725C22×C4—433no—
1726C22×C4—436no—
1727C22×C4—433no—
1728C22×C4—433no—
1729C22×C4—8612no—
1730C22×C4—1726no—
1731C22×C4—1726no—
1732C22×C4C23×D4313yes—
1733C22×C4C23×D4313yes—
1734C22×C4C23×D4313yes—
1735C22×C4C23×D4313yes—
1736C22×C4C23×D4313yes—
1737C22×C4C23×D4311yescharacteristic
1738C22×C4C23×D4313yes—
1739C22×C4C23×D4313yes—
1740C22×C4C23×D4313yes—
1741C4⋊C4—436no—
1742C4⋊C4—433no—
1743C4⋊C4—433no—
1744C4⋊C4—433no—
1745C4⋊C4—433no—
1746C4⋊C4—433no—
1747C4⋊C4—433no—
1748C4⋊C4—436no—
1749C4⋊C4—433no—
1750C4⋊C4—433no—
1751C4⋊C4—436no—
1752C4⋊C4—433no—
1753C4⋊C4—433no—
1754C4⋊C4—431no—
1755C4⋊C4—433no—
1756C4⋊C4—431no—
1757C4⋊C4—433no—
1758C4⋊C4—431no—
1759C4⋊C4—433no—
1760C4⋊C4—433no—
1761C4⋊C4—433no—
1762C4⋊C4—431no—
1763C4⋊C4—433no—
1764C4⋊C4—433no—
1765C4⋊C4—431no—
1766C4⋊C4—433no—
1767C4⋊C4—431no—
1768C4⋊C4—431no—
1769C4⋊C4—433no—
1770C4⋊C4—431no—
1771C4⋊C4—433no—
1772C4⋊C4—436no—
1773C4⋊C4—433no—
1774C4⋊C4—433no—
1775C4⋊C4—433no—
1776C4⋊C4—433no—
1777C4⋊C4—436no—
1778C4⋊C4—433no—
1779C4⋊C4—436no—
1780C4⋊C4—433no—
1781C4⋊C4C23×D4313yes—
1782C4⋊C4C23×D4313yes—
1783C4⋊C4C23×D4316yes—
1784C4⋊C4C23×D4313yes—
1785C4⋊C4C23×D4313yes—
1786C4⋊C4C23×D4316yes—
1787C4⋊C4C23×D4313yes—
1788C4⋊C4C23×D4313yes—
1789C4⋊C4C23×D4311yescharacteristic
1790C4⋊C4C23×D4311yescharacteristic
1791C4⋊C4C23×D4313yes—
1792C4⋊C4C23×D4313yes—
1793C22⋊C4—436no—
1794C22⋊C4—431no—
1795C22⋊C4—433no—
1796C22⋊C4—433no—
1797C22⋊C4—431no—
1798C22⋊C4—433no—
1799C22⋊C4—433no—
1800C22⋊C4—433no—
1801C22⋊C4—433no—
1802C22⋊C4—436no—
1803C22⋊C4—433no—
1804C22⋊C4—433no—
1805C22⋊C4—436no—
1806C22⋊C4—436no—
1807C22⋊C4—433no—
1808C22⋊C4—431no—
1809C22⋊C4—433no—
1810C22⋊C4—431no—
1811C22⋊C4—433no—
1812C22⋊C4—431no—
1813C22⋊C4—433no—
1814C22⋊C4—433no—
1815C22⋊C4—433no—
1816C22⋊C4—431no—
1817C22⋊C4—436no—
1818C22⋊C4—431no—
1819C22⋊C4—433no—
1820C22⋊C4—431no—
1821C22⋊C4—433no—
1822C22⋊C4—436no—
1823C22⋊C4—436no—
1824C22⋊C4—433no—
1825C22⋊C4—433no—
1826C22⋊C4—433no—
1827C22⋊C4—433no—
1828C22⋊C4—436no—
1829C22⋊C4—433no—
1830C22⋊C4—433no—
1831C22⋊C4C23×D4316yes—
1832C22⋊C4C23×D4316yes—
1833C22⋊C4C23×D4316yes—
1834C22⋊C4C23×D4316yes—
1835C22⋊C4C23×D4313yes—
1836C22⋊C4C23×D4313yes—
1837C22⋊C4C23×D4311yescharacteristic
1838C22⋊C4C23×D4311yescharacteristic
1839C22⋊C4C23×D4313yes—
1840C22⋊C4C23×D4313yes—
1841C42—431no—
1842C42—431no—
1843C42—433no—
1844C42—433no—
1845C42—433no—
1846C42—433no—
1847C42—433no—
1848C42—433no—
1849C42—433no—
1850C42—433no—
1851C42—436no—
1852C42—436no—
1853C42—433no—
1854C42—433no—
1855C42—436no—
1856C42—436no—
1857C42—433no—
1858C42—433no—
1859C42—433no—
1860C42—431no—
1861C42—433no—
1862C42—431no—
1863C42C23×D4313yes—
1864C42C23×D4313yes—
1865C42C23×D4313yes—
1866C42C23×D4313yes—
1867C42C23×D4313yes—
1868C42C23×D4313yes—
1869C42C23×D4311yescharacteristic
1870C42C23×D4313yes—
1871C42C23×D4313yes—
1872C42C23×D4311yescharacteristic
1873C23—431no—
1874C23—433no—
1875C23—431no—
1876C23—433no—
1877C23—866no—
1878C23—1723no—
1879C23—1723no—
1880C23C24×D4311yescharacteristic
1881C23C24×D4313yes—
1882C23C24×D4313yes—
1883Q8—26no—
1884Q8—43no—
1885Q8—4312no—
1886Q8—866no—
1887Q8—866no—
1888Q8—862no—
1889Q8—866no—
1890Q8—866no—
1891Q8—1723no—
1892Q8—1726no—
1893Q8#41×D4314yes—
1894D4—26no—
1895D4—26no—
1896D4—43no—
1897D4—43no—
1898D4—43no—
1899D4—46no—
1900D4—862no—
1901D4—866no—
1902D4—8612no—
1903D4—866no—
1904D4—866no—
1905D4—862no—
1906D4—866no—
1907D4—862no—
1908D4—866no—
1909D4—866no—
1910D4—866no—
1911D4—1723no—
1912D4—1723no—
1913D4—1723no—
1914D4—1726no—
1915D4—1723no—
1916D4—1726no—
1917D4—1723no—
1918D4—1726no—
1919D4—1723no—
1920D4—1723no—
1921D4—1726no—
1922C2×C4—26no—
1923C2×C4—26no—
1924C2×C4—26no—
1925C2×C4—26no—
1926C2×C4—22no—
1927C2×C4—26no—
1928C2×C4—43no—
1929C2×C4—43no—
1930C2×C4—43no—
1931C2×C4—433no—
1932C2×C4—431no—
1933C2×C4—4312no—
1934C2×C4—431no—
1935C2×C4—433no—
1936C2×C4—431no—
1937C2×C4—431no—
1938C2×C4—433no—
1939C2×C4—431no—
1940C2×C4—433no—
1941C2×C4—433no—
1942C2×C4—431no—
1943C2×C4—433no—
1944C2×C4—866no—
1945C2×C4—862no—
1946C2×C4—866no—
1947C2×C4—8612no—
1948C2×C4—862no—
1949C2×C4—866no—
1950C2×C4—866no—
1951C2×C4—8612no—
1952C2×C4—866no—
1953C2×C4—866no—
1954C2×C4—866no—
1955C2×C4—862no—
1956C2×C4—866no—
1957C2×C4—862no—
1958C2×C4—866no—
1959C2×C4—1723no—
1960C2×C4—1723no—
1961C2×C4—1723no—
1962C2×C4—1723no—
1963C2×C4—1723no—
1964C2×C4—1723no—
1965C2×C4—1726no—
1966C2×C4—1723no—
1967C2×C4—1726no—
1968C2×C4C24×D4311yescharacteristic
1969C2×C4C24×D4311yescharacteristic
1970C2×C4C24×D4313yes—
1971C2×C4C24×D4313yes—
1972C2×C4C24×D4313yes—
1973C2×C4C24×D4313yes—
1974C2×C4C24×D4313yes—
1975C2×C4C24×D4311yescharacteristic
1976C2×C4C24×D4311yescharacteristic
1977C2×C4C24×D4311yescharacteristic
1978C2×C4C24×D4313yes—
1979C2×C4C24×D4311yescharacteristic
1980C22—21no—
1981C22—23no—
1982C22—23no—
1983C22—21no—
1984C22—23no—
1985C22—23no—
1986C22—23no—
1987C22—21no—
1988C22—23no—
1989C22—432no—
1990C22—861no—
1991C22—861no—
1992C22—863no—
1993C22—861no—
1994C22—863no—
1995C22—863no—
1996C22—861no—
1997C22—863no—
1998C22—863no—
1999C22—861no—
2000C22—863no—
2001C22—17212no—
2002C22C25×D4311yescharacteristic
2003C4—21no—
2004C4—21no—
2005C4—23no—
2006C4—21no—
2007C4—23no—
2008C4—21no—
2009C4—23no—
2010C4—23no—
2011C4—21no—
2012C4—23no—
2013C4—436no—
2014C4—432no—
2015C4—861no—
2016C4—863no—
2017C4—861no—
2018C4—863no—
2019C4—861no—
2020C4—863no—
2021C4—861no—
2022C4—863no—
2023C4—861no—
2024C4—863no—
2025C4C2×#41×D4316yes—
2026C4#1458373512yes—
2027C2—43no—
2028C2—41no—
2029C2—43no—
2030C2—862no—
2031C2—1723no—
2032C2—1723no—
2033C2—1721no—
2034C2C22×#41×D4311yescharacteristic
2035C2#585×D4311yescharacteristic
2036C2C2×#1458373511yescharacteristic
subgroupG/H
centerC2×C4C24×D43
commutator, socle, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC43×#3480C2
hypercenter#3480D43
hypocenterC43#62793
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ #3480

Complements

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

NH ≅ G/Ntype
1. #19148707C2semidirect
2. #19148703C2semidirect
3. #19148699C2semidirect
4. #19148697C2semidirect
5. #19148605C2semidirect
6. #19148603C2semidirect
7. #19148594C2semidirect
8. #19148592C2semidirect
9. #19148443C2semidirect
10. #19148441C2semidirect
11. #19148402C2semidirect
12. #19148363C2semidirect
13. #19148311C2semidirect
14. #19148309C2semidirect
15. #19148252C2semidirect
16. #19148248C2semidirect
17. #19148221C2semidirect
18. #19148219C2semidirect
19. #19148212C2semidirect
20. #19148208C2semidirect
21. #19148193C2semidirect
22. #19148188C2semidirect
23. #19148186C2semidirect
24. #19148016C2semidirect
25. #19148009C2semidirect
26. #19147889C2semidirect
27. #19147888C2semidirect
28. C4×#13063373C2semidirect
29. C4×#13063372C2semidirect
30. C4×#41×D43C2semidirect
31. C43×#3480C2semidirect
35. #14583634C22semidirect
36. #14583633C22semidirect
37. #14583632C22semidirect
38. #14583632C22semidirect
39. #14583631C22semidirect
40. Q8×Dic86C22semidirect
41. #14583629C22semidirect
42. #14583627C22semidirect
43. #14583626C22semidirect
44. #14583626C22semidirect
45. #14583625C22semidirect
46. #14583625C22semidirect
47. #14583621C22semidirect
48. #14583621C22semidirect
49. #14583620C22semidirect
50. #14583619C22semidirect
51. #14583618C22semidirect
52. #14583617C22semidirect
53. #14583616C22semidirect
54. #14583616C22semidirect
55. #14583615C22semidirect
56. #14583614C22semidirect
57. #14583613C22semidirect
58. #14583613C22semidirect
59. #14583613C22semidirect
60. #14583612C22semidirect
61. #14583612C22semidirect
62. #14583611C22semidirect
63. #14583611C22semidirect
64. #14583602C22semidirect
65. #14583600C22semidirect
66. #14583599C22semidirect
67. #14583598C22semidirect
68. #14583598C22semidirect
69. #14583596C22semidirect
70. #14583595C22semidirect
71. #14583595C22semidirect
72. #14583594C22semidirect
73. #14583593C22semidirect
74. #14583591C22semidirect
75. #14583590C22semidirect
76. #14583587C22semidirect
77. #14583586C22semidirect
78. #14583585C22semidirect
79. #14583584C22semidirect
82. #14583570C22semidirect
84. #14583569C22semidirect
87. #14583568C22semidirect
90. #14583567C22semidirect
91. #14583567C22semidirect
92. Q8×C22⋊D43C22semidirect
93. #14583562C22semidirect
95. #14583561C22semidirect
99. #14583558C22semidirect
101. #14583557C22semidirect
104. #14583550C22semidirect
105. #14583549C22semidirect
106. #14583547C22semidirect
109. #14583523C22semidirect
110. #14583522C22semidirect
111. #14583518C22semidirect
112. #14583516C22semidirect
113. #14583515C22semidirect
114. #14583513C22semidirect
115. #14583505C22semidirect
116. #14583503C22semidirect
117. #14583502C22semidirect
118. #14583502C22semidirect
119. #14583501C22semidirect
120. #14583499C22semidirect
133. #14583453C22semidirect
134. #14583453C22semidirect
135. #14583452C22semidirect
136. #14583451C22semidirect
137. #14583449C22semidirect
140. #14583446C22semidirect
141. #14583446C22semidirect
142. #14583446C22semidirect
143. #14583446C22semidirect
144. #14583446C22semidirect
145. #14583445C22semidirect
146. #14583445C22semidirect
147. #14583444C22semidirect
149. #14583436C22semidirect
150. #14583436C22semidirect
151. #14583434C22semidirect
152. #14583433C22semidirect
153. #14583433C22semidirect
155. #14583432C22semidirect
157. #14583431C22semidirect
158. #14583431C22semidirect
159. #14583429C22semidirect
160. #14583429C22semidirect
161. #14583429C22semidirect
162. #14583429C22semidirect
163. #14583429C22semidirect
164. #14583428C22semidirect
167. #14583427C22semidirect
168. #14583427C22semidirect
169. #14583427C22semidirect
170. #14583426C22semidirect
181. #14583382C22semidirect
183. #14583381C22semidirect
185. #14583380C22semidirect
188. #14583378C22semidirect
189. #14583377C22semidirect
190. #14583376C22semidirect
193. #14583375C22semidirect
194. #14583375C22semidirect
199. C4×#10621902C22semidirect
203. C4×#10621898C22semidirect
204. C4×#10621898C22semidirect
205. C4×#10621898C22semidirect
206. C4×#10621898C22semidirect
208. #14583367C22semidirect
212. C4×#10621900C22semidirect
213. C4×#10621900C22semidirect
214. C2×C4×Dic86C22semidirect
217. C4×Q8×D43C22semidirect
218. C4×Q8×D43C22semidirect
223. C43×#559C22semidirect
224. C43×#557C22semidirect
225. C43×#556C22semidirect
226. C43×#553C22semidirect
227. C43×#553C22semidirect
230. C43×#548C22semidirect
231. C43×#532C22semidirect
232. C43×#529C22semidirect
233. C43×#529C22semidirect
235. C4×#41×C43C22semidirect
236. C4×#41×C43C22semidirect
237. C2×C4×Q8×C43C22semidirect
668. Q8×D43#41semidirect
1032. #3480D43semidirect
1058. #559C2×D43semidirect
1066. #557C2×D43semidirect
1075. #556C2×D43semidirect
1095. #553C2×D43semidirect
1096. #553C2×D43semidirect
1129. #548C2×D43semidirect
1174. #532C2×D43semidirect
1198. #529C2×D43semidirect
1199. #529C2×D43semidirect
1244. C4×#41C2×D43semidirect
1245. C4×#41C2×D43semidirect
1251. C2×C4×Q8C2×D43semidirect
1256. C43#62793semidirect

Maximal subgroups

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

subgroupindex
#191487072
#191487032
#191486992
#191486972
#191486052
#191486032
#191485942
#191485922
#191484432
#191484412
#191484022
#191483632
#191483112
#191483092
#191482522
#191482482
#191482212
#191482192
#191482122
#191482082
#191481932
#191481882
#191481862
#191480162
#191480092
#191478892
#191478882
C4×#130633732
C4×#130633722
C4×#41×D432
C43×#34802
#6279343