Finite Group Databasebeta

← #26005180

Subgroups — #26005180

Order 11008.

7210 conjugacy classes of subgroups.

The subgroup lattice has 1792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148509C214yesmaximal, complemented
2#19148503C212yesmaximal, complemented
3#19148499C212yesmaximal, complemented
4#19148485C214yesmaximal, complemented
5#19148478C212yesmaximal, complemented
6#19148468C212yesmaximal, complemented
7#19148460C211yesmaximal, characteristic, complemented
8#19148459C212yesmaximal, complemented
9#19148449C211yesmaximal, characteristic, complemented
10#19148444C211yesmaximal, characteristic, complemented
11#19148440C212yesmaximal, complemented
12#19148430C214yesmaximal, complemented
13#19148427C214yesmaximal, complemented
14#19148195C212yesmaximal, complemented
15#19148191C212yesmaximal, complemented
16#19148187C214yesmaximal, complemented
17#19148161C212yesmaximal, complemented
18#19148156C212yesmaximal, complemented
19#19148148C214yesmaximal, complemented
20#19147981C214yesmaximal, complemented
21#19147927C212yesmaximal, complemented
22#19147889C214yesmaximal, complemented
23#533×D43C211yesmaximal, characteristic, complemented
24#532×D43C211yesmaximal, characteristic, complemented
25#19147795C212yesmaximal, complemented
26C2×C4×#10621902C211yesmaximal, characteristic, complemented
27C43×#3507C211yesmaximal, characteristic, complemented
28C22×#10621902C2211yescharacteristic
29C2×#41×D43C2212yes—
30#14583634C2214yescomplemented
31#14583634C2214yescomplemented
32#14583634C2212yescomplemented
33#14583632C2214yescomplemented
34#14583631C2214yescomplemented
35#14583631C2214yescomplemented
36#14583627C2212yescomplemented
37#14583624C2214yescomplemented
38#14583623C2212yescomplemented
39#14583623C2214yescomplemented
40#14583622C2212yescomplemented
41#14583622C2212yescomplemented
42#14583621C2214yescomplemented
43#14583621C2214yescomplemented
44#14583620C2214yescomplemented
45#14583618C2214yescomplemented
46#14583615C2212yescomplemented
47#14583614C2212yescomplemented
48#14583612C2214yescomplemented
49#14583609C2212yescomplemented
50#14583607C2214yescomplemented
51#14583602C2214yescomplemented
52#14583602C2218yescomplemented
53#14583602C2214yescomplemented
54#14583600C2218yescomplemented
55#14583600C2218yescomplemented
56#14583599C2214yescomplemented
57#14583597C2214yescomplemented
58#14583595C2214yescomplemented
59#14583594C2218yescomplemented
60#14583593C2214yescomplemented
61#14583593C2218yescomplemented
62#14583591C2214yescomplemented
63#14583590C2214yescomplemented
64#14583590C2214yescomplemented
65#14583587C2214yescomplemented
66#14583583C2214yescomplemented
67#14583581C2218yescomplemented
68#14583576C2218yescomplemented
69#14583574C2218yescomplemented
70#14583574C2218yescomplemented
71#14583573C2218yescomplemented
72#14583571C2212yescomplemented
73#14583570C2214yescomplemented
74#14583569C2212yescomplemented
75#14583561C2214yescomplemented
76#14583559C2218yescomplemented
77#14583557C2214yescomplemented
78#14583553C2212yescomplemented
79#14583552C2212yescomplemented
80#14583550C2214yescomplemented
81#14583544C2214yescomplemented
82#14583542C2214yescomplemented
83#14583541C2218yescomplemented
84#14583519C2218yescomplemented
85#14583515C2218yescomplemented
86#14583508C2218yescomplemented
87#14583501C2218yescomplemented
88#14583496C2214yescomplemented
89#14583493C2218yescomplemented
90#14583489C2214yescomplemented
91#14583486C2214yescomplemented
92#14583482C2218yescomplemented
93#14583479C2214yescomplemented
94#14583479C2214yescomplemented
95#14583474C2214yes—
96#14583473C2212yescomplemented
97#14583468C2212yescomplemented
98#14583467C2214yes—
99#14583463C2212yescomplemented
100#14583460C2218yes—
101#14583456C2211yescharacteristic, complemented
102#14583455C2212yescomplemented
103#14583455C2214yescomplemented
104#14583454C2211yescharacteristic, complemented
105#14583454C2211yescharacteristic, complemented
106#14583453C2212yescomplemented
107#14583453C2212yescomplemented
108#14583453C2214yescomplemented
109#14583452C2212yescomplemented
110#14583451C2212yescomplemented
111#14583451C2212yescomplemented
112#14583450C2211yescharacteristic, complemented
113#14583450C2214yescomplemented
114#14583449C2211yescharacteristic
115#14583448C2212yescomplemented
116#14583448C2214yescomplemented
117#14583448C2214yescomplemented
118#14583447C2211yescharacteristic, complemented
119#14583446C2212yescomplemented
120#14583446C2212yescomplemented
121#14583446C2214yescomplemented
122#14583445C2212yes—
123#14583444C2212yes—
124#14583444C2212yes—
125C4⋊Q8×D43C2211yescharacteristic, complemented
126C4⋊Q8×D43C2211yescharacteristic, complemented
127C4⋊Q8×D43C2211yescharacteristic, complemented
128#127×D43C2211yescharacteristic, complemented
129#14583435C2218yescomplemented
130#14583434C2214yescomplemented
131#14583434C2218yescomplemented
132#14583433C2214yescomplemented
133#14583432C2218yescomplemented
134#14583432C2218yescomplemented
135#14583432C2218yescomplemented
136#14583428C2214yescomplemented
137#14583427C2218yescomplemented
138#14583426C2218yescomplemented
139#14583426C2218yescomplemented
140#125×D43C2212yescomplemented
141#124×D43C2212yescomplemented
142#14583412C2214yes—
143#14583412C2214yes—
144#14583412C2214yescomplemented
145#14583409C2214yescomplemented
146#14583408C2218yescomplemented
147#14583407C2218yescomplemented
148C22⋊Q8×D43C2212yes—
149C22⋊Q8×D43C2212yes—
150#121×D43C2212yes—
151#121×D43C2212yes—
152#14583382C2212yescomplemented
153#14583380C2212yescomplemented
154#14583380C2214yescomplemented
155#14583379C2212yescomplemented
156#14583379C2214yescomplemented
157#14583375C2214yescomplemented
158#14583371C2218yes—
159#14583371C2214yescomplemented
160C4×#10621902C2212yes—
161C4×#10621902C2212yes—
162C4×#10621902C2212yes—
163C4×#10621902C2212yes—
164C4×#10621902C2212yescomplemented
165C4×#10621902C2212yescomplemented
166C4×#10621902C2212yescomplemented
167C4×#10621902C2212yescomplemented
168C4×#10621902C2214yescomplemented
169C4×#10621902C2214yescomplemented
170#14583367C2218yescomplemented
171C4×#10621900C2218yescomplemented
172C4×#10621900C2214yescomplemented
173C4×#10621900C2214yescomplemented
174C2×Q8×Dic43C2211yescharacteristic, complemented
175C4×Q8×D43C2212yescomplemented
176C4×Q8×D43C2212yescomplemented
177C2×C4×D172C2212yes—
178C2×C4×D172C2211yescharacteristic, complemented
179C2×#13063287C2212yes—
180C2×#13063287C2211yescharacteristic, complemented
181C4×D4×D43C2212yescomplemented
182C4×D4×D43C2212yescomplemented
183C2×#13063283C2211yescharacteristic
184C2×#13063283C2212yescomplemented
185C2×#13063283C2214yescomplemented
186#117×D43C2212yes—
187#117×D43C2214yescomplemented
188C2×C42×D43C2211yescharacteristic
189C2×C42×D43C2212yescomplemented
190C43×#559C2212yescomplemented
191C43×#557C2212yescomplemented
192C43×#556C2212yescomplemented
193C43×#556C2214yescomplemented
194C43×#554C2212yescomplemented
195C43×#552C2214yescomplemented
196C43×#539C2214yescomplemented
197C43×#536C2212yescomplemented
198C43×#533C2211yescharacteristic, complemented
199C43×#532C2211yescharacteristic
200C43×#529C2214yescomplemented
201C43×#520C2212yescomplemented
202C2×C4×Q8×C43C2211yescharacteristic, complemented
203C2×#10621902—28no—
204C2×#10621902C2312yes—
205C2×#10621902C2312yes—
206C2×#10621902C2312yes—
207C2×#10621902C2312yes—
208C2×#10621902C2312yes—
209C2×#10621902C2314yes—
210C2×#10621898C2312yes—
211C2×#10621898C2314yes—
212C2×#10621898C2318yes—
213C2×#10621900C2314yes—
214C2×#10621900C2312yes—
215C2×#10621900C2314yes—
216#41×D43—216no—
217C2×Q8×D43C2312yes—
218C2×Q8×D43C2312yes—
219C2×Q8×D43C2312yes—
220C22×D172C2312yes—
221C22×D172C2311yescharacteristic
222C2×D4×D43C2314yes—
223C2×D4×D43C2312yes—
224C2×D4×D43C2312yes—
225C2×D4×D43C2312yes—
226C22×C4×D43C2312yes—
227C22×C4×D43C2314yes—
228C22×C4×D43C2311yescharacteristic
229C22×C4×D43C2311yescharacteristic
230C22×C4×D43C2312yes—
231C22×C4×D43C2312yes—
232C22×C4×D43C2311yescharacteristic
233#13063325C2311yescharacteristic
234#13063325C2311yescharacteristic
235#13063325C2311yescharacteristic
236#13063324C2312yes—
237#13063324C2312yes—
238#13063324C2312yes—
239#13063324C2312yes—
240#13063324C2312yes—
241#13063324C2312yes—
242#13063323C2314yes—
243#13063323C2312yes—
244#13063323C2312yes—
245#13063323C2312yes—
246#13063322C2314yes—
247#13063322C2311yescharacteristic
248#13063321C2314yes—
249#13063321C2312yes—
250#13063321C2312yes—
251#13063321C2312yes—
252#13063320C2318yes—
253#13063320C2318yes—
254#13063320C2318yes—
255#13063320C2318yes—
256#13063320C2318yes—
257#13063320C2318yes—
258#13063319C2318yes—
259#13063319C2318yes—
260#13063318C2318yes—
261#13063318C2318yes—
262#13063317C2312yes—
263#13063317C2314yes—
264#13063316C2312yes—
265#13063316C2318yes—
266#13063316C2312yes—
267#13063315C2318yes—
268#13063315C2318yes—
269#13063315C2318yes—
270#13063315C2314yes—
271#13063315C2314yes—
272#13063314C2318yes—
273#13063314C2314yes—
274#13063314C2314yes—
275#13063314C2312yes—
276#13063313C2318yes—
277#13063313C2314yes—
278#13063313C2312yes—
279#13063313C2314yes—
280#13063312C2312yes—
281#13063311C2318yes—
282#13063311C2318yes—
283#13063311C2318yes—
284#13063311C2314yes—
285#13063311C2314yes—
286#13063310C2318yes—
287#13063310C2318yes—
288#13063310C2318yes—
289#13063310C2318yes—
290#13063310C2318yes—
291#13063310C2318yes—
292#13063310C2318yes—
293#13063309C2318yes—
294#13063309C2318yes—
295#13063308C2318yes—
296#13063308C2318yes—
297#13063307C2318yes—
298#13063307C2318yes—
299#13063307C2318yes—
300#13063305C2314yes—
301#13063305C2318yes—
302#13063305C2312yes—
303#13063305C2312yes—
304#13063304C2312yes—
305#13063304C2312yes—
306#13063303C2318yes—
307#13063303C2318yes—
308#13063303C2314yes—
309#13063303C2314yes—
310#13063303C2318yes—
311#13063303C2318yes—
312#13063302C2318yes—
313#13063302C2314yes—
314#13063302C2314yes—
315#13063301C2314yes—
316#13063301C2312yes—
317#13063301C2314yes—
318#13063301C2312yes—
319#13063301C2314yes—
320#13063300C2314yes—
321#13063300C2318yes—
322#13063300C2312yes—
323#13063300C2318yes—
324#13063300C2318yes—
325#13063300C2314yes—
326#13063300C2314yes—
327#13063300C2312yes—
328#13063299C2314yes—
329#13063299C2318yes—
330#13063299C2314yes—
331#13063299C2312yes—
332#13063299C2312yes—
333#13063298C2318yes—
334#13063298C2314yes—
335#13063298C2318yes—
336#13063298C2318yes—
337#13063298C2318yes—
338#13063298C2314yes—
339#13063298C2318yes—
340#13063298C2318yes—
341#13063297C2318yes—
342#13063297C2314yes—
343#13063297C2314yes—
344#13063296C2312yes—
345#13063296C2314yes—
346#13063296C2312yes—
347#13063295C2318yes—
348#13063295C2318yes—
349#13063295C2318yes—
350#13063293C2318yes—
351Q8×Dic43C2312yes—
352Q8×Dic43C2312yes—
353Q8×Dic43C2312yes—
354Q8×Dic43C2312yes—
355Q8×Dic43C2312yes—
356Q8×Dic43C2312yes—
357Q8×Dic43C2314yes—
358C4×Dic86C2314yes—
359C4×Dic86C2312yes—
360C4×Dic86C2314yes—
361C4×Dic86C2314yes—
362C4×Dic86C2312yes—
363C4×Dic86C2314yes—
364C4×Dic86C2318yes—
365#13063290C2318yes—
366#13063290C2312yes—
367#13063290C2314yes—
368#13063290C2314yes—
369#13063290C2312yes—
370#13063290C2314yes—
371#13063290C2318yes—
372C4×D172C2312yes—
373C4×D172C2312yes—
374C4×D172C2314yes—
375C4×D172C2318yes—
376C4×D172C2312yes—
377C4×D172C2314yes—
378C4×D172C2314yes—
379C4×D172C2318yes—
380C4×D172C2314yes—
381C4×D172C2312yes—
382C4×D172C2314yes—
383C4×D172C2312yes—
384C4×D172C2314yes—
385C4×D172C2312yes—
386D4×Dic43C2314yes—
387D4×Dic43C2312yes—
388D4×Dic43C2312yes—
389D4×Dic43C2318yes—
390#13063287C2314yes—
391#13063287C2318yes—
392#13063287C2312yes—
393#13063287C2314yes—
394#13063287C2314yes—
395#13063287C2318yes—
396#13063287C2314yes—
397#13063287C2312yes—
398#13063287C2314yes—
399#13063287C2312yes—
400#13063287C2312yes—
401#13063287C2312yes—
402#13063287C2312yes—
403#13063287C2318yes—
404#13063287C2318yes—
405C4×C22⋊D43C2318yes—
406C4×C22⋊D43C2318yes—
407C4×C22⋊D43C2314yes—
408C4×C22⋊D43C2314yes—
409C4×C22⋊D43C2318yes—
410C4×C22⋊D43C2318yes—
411(C22⋊D43)⋊C4C2318yes—
412(C22⋊D43)⋊C4C2318yes—
413(C22⋊D43)⋊C4C2318yes—
414(C22⋊D43)⋊C4C2314yes—
415(C22⋊D43)⋊C4C2314yes—
416(C22⋊D43)⋊C4C2318yes—
417(C22⋊D43)⋊C4C2318yes—
418(C22⋊D43)⋊C4C2318yes—
419(C22⋊D43)⋊C4C2318yes—
420#13063284C2314yes—
421#13063284C2312yes—
422#13063283C2318yes—
423#13063283C2318yes—
424#13063283C2314yes—
425#13063283C2314yes—
426#13063283C2314yes—
427#13063283C2314yes—
428#13063283C2312yes—
429#13063283C2312yes—
430#13063283C2312yes—
431#13063283C2312yes—
432#13063283C2312yes—
433#13063283C2312yes—
434#13063283C2318yes—
435#13063283C2314yes—
436#13063283C2314yes—
437#13063283C2314yes—
438#13063283C2314yes—
439#13063282C2318yes—
440#13063282C2318yes—
441#13063282C2318yes—
442#13063282C2314yes—
443#13063281C2318yes—
444#13063281C2314yes—
445#13063281C2318yes—
446C2×C4⋊Dic43C2314yes—
447C2×C4⋊Dic43C2311yescharacteristic
448C2×C4⋊Dic43C2312yes—
449C4⋊C4×D43C2314yes—
450C4⋊C4×D43C2312yes—
451C4⋊C4×D43C2312yes—
452C4⋊C4×D43C2314yes—
453C4⋊C4×D43C2314yes—
454C4⋊C4×D43C2314yes—
455C4⋊C4×D43C2312yes—
456C4⋊C4×D43C2312yes—
457C4⋊C4×D43C2312yes—
458C4⋊C4×D43C2312yes—
459C2×(C2×D43)⋊C4C2318yes—
460C2×(C2×D43)⋊C4C2312yes—
461C2×(C2×D43)⋊C4C2312yes—
462C2×(C2×D43)⋊C4C2312yes—
463C22⋊C4×D43C2314yes—
464C22⋊C4×D43C2314yes—
465C22⋊C4×D43C2318yes—
466C22⋊C4×D43C2314yes—
467C2×C4×Dic43C2311yescharacteristic
468C2×C4×Dic43C2311yescharacteristic
469C2×C4×Dic43C2311yescharacteristic
470C2×C4×Dic43C2312yes—
471C2×C4×Dic43C2312yes—
472C2×C4×Dic43C2318yes—
473C42×D43C2311yescharacteristic
474C42×D43C2311yescharacteristic
475C42×D43C2311yescharacteristic
476C42×D43C2311yescharacteristic
477C42×D43C2311yescharacteristic
478C42×D43C2311yescharacteristic
479C42×D43C2311yescharacteristic
480C42×D43C2311yescharacteristic
481C42×D43C2314yes—
482C42×D43C2314yes—
483C42×D43C2314yes—
484C42×D43C2314yes—
485C42×D43C2314yes—
486C42×D43C2318yes—
487C2×#41×C43C2312yes—
488C22×Q8×C43C2311yescharacteristic
489C4⋊Q8×C43C2311yescharacteristic
490C4⋊Q8×C43C2311yescharacteristic
491C4⋊Q8×C43C2311yescharacteristic
492C4⋊Q8×C43C2314yes—
493#127×C43C2311yescharacteristic
494#126×C43C2318yes—
495#126×C43C2318yes—
496#125×C43C2318yes—
497#125×C43C2314yes—
498#125×C43C2312yes—
499#124×C43C2314yes—
500#124×C43C2312yes—
501#124×C43C2314yes—
502#123×C43C2318yes—
503#123×C43C2318yes—
504C22⋊Q8×C43C2318yes—
505C22⋊Q8×C43C2314yes—
506C22⋊Q8×C43C2312yes—
507C22⋊Q8×C43C2312yes—
508C22⋊Q8×C43C2314yes—
509#121×C43C2312yes—
510#121×C43C2312yes—
511C4×Q8×C43C2314yes—
512C4×Q8×C43C2312yes—
513C4×Q8×C43C2312yes—
514C4×Q8×C43C2312yes—
515C4×Q8×C43C2312yes—
516C4×Q8×C43C2312yes—
517C4×Q8×C43C2314yes—
518C4×Q8×C43C2312yes—
519C4×D4×C43C2312yes—
520C4×D4×C43C2314yes—
521C4×D4×C43C2318yes—
522C4×D4×C43C2314yes—
523C4×D4×C43C2312yes—
524#117×C43C2318yes—
525#117×C43C2312yes—
526#117×C43C2314yes—
527C2×C4⋊C4×C43C2311yescharacteristic
528C2×C4⋊C4×C43C2312yes—
529C2×C4⋊C4×C43C2314yes—
530C2×C42×C43C2312yes—
531C2×C42×C43C2311yescharacteristic
532C23×D43C2414yes—
533C23×D43C2412yes—
534C23×D43C2411yescharacteristic
535#41×C43—28no—
536C2×Q8×C43—24no—
537C2×Q8×C43C2412yes—
538C2×Q8×C43C2412yes—
539C2×Q8×C43C2412yes—
540C2×Q8×C43C2412yes—
541C2×Q8×C43C2412yes—
542C2×D4×C43C2412yes—
543C2×D4×C43C2414yes—
544C2×D4×C43C2412yes—
545C2×D4×C43C2412yes—
546C22×C4×C43C2411yescharacteristic
547C22×C4×C43C2412yes—
548C22×C4×C43C2414yes—
549C22×C4×C43C2412yes—
550C22×C4×C43C2411yescharacteristic
551C22×C4×C43C2418yes—
552C22×C4×C43C2411yescharacteristic
553C2×C22⋊D43C2414yes—
554C2×C22⋊D43C2414yes—
555C2×C22⋊D43C2414yes—
556C2×C22⋊D43C2414yes—
557C2×C22⋊D43C2418yes—
558C2×C22⋊D43C2418yes—
559C2×C22⋊D43C2414yes—
560C22×Dic43C2411yescharacteristic
561C22×Dic43C2414yes—
562C22×Dic43C2412yes—
563C22×Dic43C2411yescharacteristic
564C22×Dic43C2418yes—
565C22×Dic43C2411yescharacteristic
566#10621902—28no—
567#10621902—28no—
568#10621902—28no—
569#10621902—28no—
570#10621902—28no—
571#10621902—48no—
572Q8×D43—28no—
573Q8×D43—44no—
574Q8×D43—44no—
575#10621900—216no—
576#10621900—28no—
577#10621900—48no—
578D4×D43—28no—
579D4×D43—216no—
580D4×D43—44no—
581D4×D43—44no—
582#10621898—28no—
583#10621898—216no—
584#10621898—416no—
585C2×D172—24no—
586C2×D172—28no—
587C2×D172C2414yes—
588C2×D172C2414yes—
589C2×D172C2414yes—
590C2×D172C2412yes—
591C2×D172C2412yes—
592C2×D172C2412yes—
593C2×D172C2412yes—
594C2×D172C2418yes—
595C2×D172C2418yes—
596C2×D172C2412yes—
597C2×C4×D43—28no—
598C2×C4×D43—216no—
599C2×C4×D43—44no—
600C2×C4×D43—42no—
601C2×C4×D43—42no—
602C2×C4×D43—44no—
603C2×C4×D43#4118yescomplemented
604C2×C4×D43C2411yescharacteristic
605C2×C4×D43C2411yescharacteristic
606C2×C4×D43C2411yescharacteristic
607C2×C4×D43C2411yescharacteristic
608C2×C4×D43C2414yes—
609C2×C4×D43C2414yes—
610C2×C4×D43C2414yes—
611C2×C4×D43C2414yes—
612C2×C4×D43C2414yes—
613C2×C4×D43C2414yes—
614C2×C4×D43C2414yes—
615C2×C4×D43C2411yescharacteristic
616C2×C4×D43C2411yescharacteristic
617C2×C4×D43C2411yescharacteristic
618C2×C4×D43C2411yescharacteristic
619C2×C4×D43C2414yes—
620C2×C4×D43C2414yes—
621C2×C4×D43C2414yes—
622C2×C4×D43C2414yes—
623C2×C4×D43C2418yes—
624C2×C4×D43C2418yes—
625C2×C4×D43C2411yescharacteristic
626C2×C4×D43C2411yescharacteristic
627C2×C4×D43C2411yescharacteristic
628C2×C4×D43C2411yescharacteristic
629C2×Dic86C2414yes—
630C2×Dic86C2414yes—
631C2×Dic86C2412yes—
632C2×Dic86C2412yes—
633C2×Dic86C2414yes—
634C2×Dic86C2412yes—
635C4⋊C4×C43C2412yes—
636C4⋊C4×C43C2412yes—
637C4⋊C4×C43C2412yes—
638C4⋊C4×C43C2418yes—
639C4⋊C4×C43C2414yes—
640C4⋊C4×C43C2414yes—
641C4⋊C4×C43C2412yes—
642C4⋊C4×C43C2414yes—
643C4⋊C4×C43C2418yes—
644C4⋊C4×C43C2412yes—
645C4⋊C4×C43C2412yes—
646C4⋊C4×C43C2412yes—
647C4⋊C4×C43C2414yes—
648C4⋊C4×C43C2418yes—
649C4⋊C4×C43C2412yes—
650C22⋊C4×C43C2414yes—
651C22⋊C4×C43C2414yes—
652C22⋊C4×C43C2418yes—
653C22⋊C4×C43C2418yes—
654C22⋊C4×C43C2414yes—
655C22⋊C4×C43C2418yes—
656C42×C43C2414yes—
657C42×C43C2411yescharacteristic
658C42×C43C2411yescharacteristic
659C42×C43C2414yes—
660C42×C43C2411yescharacteristic
661C42×C43C2411yescharacteristic
662C42×C43C2418yes—
663C42×C43C2414yes—
664C22⋊Dic43C2414yes—
665C22⋊Dic43C2414yes—
666C22⋊Dic43C2418yes—
667C22⋊Dic43C2414yes—
668(C2×D43)⋊C4C2414yes—
669(C2×D43)⋊C4C2414yes—
670(C2×D43)⋊C4C2414yes—
671(C2×D43)⋊C4C2414yes—
672(C2×D43)⋊C4C2414yes—
673(C2×D43)⋊C4C2414yes—
674(C2×D43)⋊C4C2414yes—
675(C2×D43)⋊C4C2414yes—
676(C2×D43)⋊C4C2418yes—
677(C2×D43)⋊C4C2418yes—
678(C2×D43)⋊C4C2414yes—
679(C2×D43)⋊C4C2414yes—
680(C2×D43)⋊C4C2414yes—
681(C2×D43)⋊C4C2414yes—
682(C2×D43)⋊C4C2418yes—
683(C2×D43)⋊C4C2418yes—
684(C2×D43)⋊C4C2418yes—
685(C2×D43)⋊C4C2418yes—
686(C2×D43)⋊C4C2418yes—
687(C2×D43)⋊C4C2418yes—
688C4⋊Dic43C2412yes—
689C4⋊Dic43C2412yes—
690C4⋊Dic43C2412yes—
691C4⋊Dic43C2412yes—
692C4⋊Dic43C2412yes—
693C4⋊Dic43C2414yes—
694C4⋊Dic43C2412yes—
695C4⋊Dic43C2414yes—
696C4⋊Dic43C2412yes—
697C4⋊Dic43C2412yes—
698C4⋊Dic43C2418yes—
699C4⋊Dic43C2414yes—
700C4⋊Dic43C2414yes—
701Dic43⋊C4C2414yes—
702Dic43⋊C4C2414yes—
703Dic43⋊C4C2418yes—
704Dic43⋊C4C2414yes—
705Dic43⋊C4C2418yes—
706Dic43⋊C4C2414yes—
707Dic43⋊C4C2414yes—
708Dic43⋊C4C2414yes—
709Dic43⋊C4C2414yes—
710Dic43⋊C4C2414yes—
711Dic43⋊C4C2414yes—
712Dic43⋊C4C2414yes—
713Dic43⋊C4C2418yes—
714Dic43⋊C4C2418yes—
715C4×Dic43C2411yescharacteristic
716C4×Dic43C2411yescharacteristic
717C4×Dic43C2411yescharacteristic
718C4×Dic43C2411yescharacteristic
719C4×Dic43C2414yes—
720C4×Dic43C2414yes—
721C4×Dic43C2414yes—
722C4×Dic43C2411yescharacteristic
723C4×Dic43C2414yes—
724C4×Dic43C2411yescharacteristic
725C4×Dic43C2411yescharacteristic
726C4×Dic43C2411yescharacteristic
727C4×Dic43C2414yes—
728C4×Dic43C2411yescharacteristic
729C4×Dic43C2411yescharacteristic
730C4×Dic43C2411yescharacteristic
731C4×Dic43C2411yescharacteristic
732C4×Dic43C2414yes—
733C4×Dic43C2418yes—
734C4×Dic43C2414yes—
735C4×Dic43C2418yes—
736C4×Dic43C2418yes—
737C23×C43C2514yes—
738C23×C43C2511yescharacteristic
739C22×D43—24no—
740C22×D43—28no—
741C22×D43—41no—
742C22×D43—41no—
743C22×D43—42no—
744C22×D43—42no—
745C22×D43—44no—
746C22×D43—44no—
747C22×D43C2×#4114yes—
748C22×D43C2514yes—
749C22×D43C2514yes—
750C22×D43C2511yescharacteristic
751C22×D43C2511yescharacteristic
752Q8×C43—24no—
753Q8×C43—24no—
754Q8×C43—24no—
755Q8×C43—24no—
756Q8×C43—42no—
757D4×C43—28no—
758D4×C43—24no—
759D4×C43—24no—
760D4×C43—42no—
761C2×C4×C43—24no—
762C2×C4×C43—28no—
763C2×C4×C43—22no—
764C2×C4×C43—41no—
765C2×C4×C43—42no—
766C2×C4×C43—48no—
767C2×C4×C43C2×#4114yes—
768C2×C4×C43C2514yes—
769C2×C4×C43C2514yes—
770C2×C4×C43C2514yes—
771C2×C4×C43C2511yescharacteristic
772C2×C4×C43C2511yescharacteristic
773C2×C4×C43C2514yes—
774C2×C4×C43C2511yescharacteristic
775C2×C4×C43C2514yes—
776C2×C4×C43C2511yescharacteristic
777C2×C4×C43C2511yescharacteristic
778C2×C4×C43C2511yescharacteristic
779C22⋊D43—28no—
780C22⋊D43—28no—
781C22⋊D43—28no—
782C22⋊D43—28no—
783C22⋊D43—48no—
784C22⋊D43—44no—
785C22⋊D43—48no—
786C2×Dic43—28no—
787C2×Dic43—22no—
788C2×Dic43—41no—
789C2×Dic43—42no—
790C2×Dic43—48no—
791C2×Dic43C2×#4114yes—
792C2×Dic43C2511yescharacteristic
793C2×Dic43C2514yes—
794C2×Dic43C2514yes—
795C2×Dic43C2514yes—
796C2×Dic43C2511yescharacteristic
797C2×Dic43C2514yes—
798C2×Dic43C2511yescharacteristic
799C2×Dic43C2511yescharacteristic
800C2×Dic43C2511yescharacteristic
801C2×Dic43C2511yescharacteristic
802D172—28no—
803D172—28no—
804D172—28no—
805D172—24no—
806D172—24no—
807D172—24no—
808D172—24no—
809D172—48no—
810D172—42no—
811D172—48no—
812C4×D43—28no—
813C4×D43—28no—
814C4×D43—22no—
815C4×D43—28no—
816C4×D43—22no—
817C4×D43—28no—
818C4×D43—28no—
819C4×D43—28no—
820C4×D43—28no—
821C4×D43—22no—
822C4×D43—22no—
823C4×D43—41no—
824C4×D43—44no—
825C4×D43—41no—
826C4×D43—41no—
827C4×D43—44no—
828C4×D43—41no—
829C4×D43—48no—
830C4×D43—44no—
831C4×D43—44no—
832C4×D43—48no—
833C4×D43C2×#4114yes—
834C4×D43C2×#4114yes—
835C4×D43C2×#4114yes—
836C4×D43C2×#4114yes—
837Dic86—24no—
838Dic86—24no—
839Dic86—28no—
840Dic86—28no—
841Dic86—42no—
842Dic86—44no—
843#62815—431nomaximal, Sylow
844C22×C43—21no—
845C22×C43—21no—
846C22×C43—24no—
847C22×C43—24no—
848C22×C43—24no—
849C22×C43C22×#4112yes—
850C22×C43C2611yescharacteristic
851C2×D43—21no—
852C2×D43—21no—
853C2×D43—21no—
854C2×D43—21no—
855C2×D43—24no—
856C2×D43—24no—
857C2×D43—24no—
858C2×D43—24no—
859C2×D43—24no—
860C2×D43—24no—
861C2×D43—44no—
862C2×D43—48no—
863C2×D43—88no—
864C2×D43C22×#4112yes—
865C2×D43C22×#4112yes—
866C4×C43—24no—
867C4×C43—24no—
868C4×C43—24no—
869C4×C43—21no—
870C4×C43—24no—
871C4×C43—24no—
872C4×C43—21no—
873C4×C43—21no—
874C4×C43C22×#4112yes—
875C4×C43C22×#4112yes—
876C4×C43#58512yes—
877Dic43—24no—
878Dic43—24no—
879Dic43—24no—
880Dic43—21no—
881Dic43—24no—
882Dic43—21no—
883Dic43—21no—
884Dic43C22×#4112yes—
885Dic43C22×#4112yes—
886Dic43#58512yes—
887#3512—434no—
888#3511—432no—
889#3511—432no—
890#3510—434no—
891#3509—432no—
892#3508—432no—
893#3507—432no—
894#3507—431no—
895#3507D4311yescharacteristic, complemented
896#3506—431no—
897#3506—431no—
898#3506—432no—
899#3505—434no—
900#3505—434no—
901#3480—432no—
902#3480—432no—
903#3480—434no—
904#3475—432no—
905#3475—432no—
906#3475—434no—
907#3455—434no—
908#3449—432no—
909#3444—434no—
910C2×#533—431no—
911C2×#532—431no—
912#3428—432no—
913C2×C4×#41—431no—
914C2×C43—22no—
915C2×C43—44no—
916C2×C43C23×#4111yescharacteristic
917C2×C43C2×#58511yescharacteristic
918C2×C43C2×#58511yescharacteristic
919D43—22no—
920D43—22no—
921D43—44no—
922D43—44no—
923C22×#41—432no—
924C22×#41—431no—
925#559—434no—
926#559—434no—
927#559—434no—
928#559—434no—
929#559—432no—
930#559—434no—
931#559C2×D4312yescomplemented
932#557—434no—
933#557—432no—
934#557C2×D4312yescomplemented
935#556—432no—
936#556—434no—
937#556—434no—
938#556—434no—
939#556—434no—
940#556—434no—
941#556—432no—
942#556—432no—
943#556C2×D4312yescomplemented
944#556C2×D4314yescomplemented
945#555—432no—
946#555—432no—
947#555—434no—
948#554—434no—
949#554—432no—
950#554C2×D4312yescomplemented
951#553—438no—
952#553—438no—
953#553—434no—
954#553—434no—
955#553—438no—
956#553—438no—
957#553—434no—
958#553—434no—
959#553—434no—
960#553—438no—
961#553—434no—
962#552—438no—
963#552—434no—
964#552—434no—
965#552—434no—
966#552—434no—
967#552—434no—
968#552C2×D4314yescomplemented
969#551—438no—
970#551—438no—
971#551—438no—
972#551—438no—
973#550—432no—
974#550—432no—
975#550—434no—
976#548—434no—
977#548—438no—
978#548—434no—
979#547—432no—
980#547—432no—
981#547—434no—
982#546—434no—
983#546—438no—
984#546—434no—
985#542—438no—
986#542—438no—
987#541—438no—
988#540—438no—
989#539—438no—
990#539—434no—
991#539C2×D4314yescomplemented
992#538—434no—
993#538—434no—
994#538—438no—
995#537—434no—
996#537—434no—
997#536—432no—
998#536—434no—
999#536C2×D4312yescomplemented
1000#535—432no—
1001#535—434no—
1002#535—432no—
1003#534—438no—
1004#533—431no—
1005#533—431no—
1006#533—432no—
1007#533—434no—
1008#533—432no—
1009#533—432no—
1010#533—432no—
1011#533—432no—
1012#533—434no—
1013#533—432no—
1014#533—431no—
1015#533C2×D4311yescharacteristic, complemented
1016#532—432no—
1017#532—431no—
1018#532—434no—
1019#532—431no—
1020#532—432no—
1021#532—434no—
1022#532—434no—
1023#532—432no—
1024#532—432no—
1025#532—432no—
1026#532—432no—
1027#532—434no—
1028#532—431no—
1029#532C2×D4311yescharacteristic
1030C2×C4⋊Q8—431no—
1031C2×C4⋊Q8—431no—
1032C2×C4⋊Q8—431no—
1033C2×#127—431no—
1034#529—438no—
1035#529—438no—
1036#529—438no—
1037#529—434no—
1038#529—438no—
1039#529—434no—
1040#529—438no—
1041#529—438no—
1042#529—438no—
1043#529—438no—
1044#529—434no—
1045#529C2×D4314yescomplemented
1046C2×#125—432no—
1047C2×#124—432no—
1048#525—438no—
1049#525—434no—
1050#525—434no—
1051#525—434no—
1052#525—434no—
1053#525—438no—
1054C2×C22⋊Q8—432no—
1055C2×C22⋊Q8—432no—
1056C2×#121—432no—
1057C2×#121—432no—
1058#520—432no—
1059#520—432no—
1060#520—434no—
1061#520—432no—
1062#520—434no—
1063#520C2×D4312yescomplemented
1064#519—434no—
1065#518—438no—
1066#518—434no—
1067C4×#41—432no—
1068C4×#41—432no—
1069C4×#41—432no—
1070C4×#41—432no—
1071C4×#41—432no—
1072C4×#41—432no—
1073C4×#41—432no—
1074C4×#41—432no—
1075C4×#41—434no—
1076C4×#41—434no—
1077C4×#41—438no—
1078C4×#41—434no—
1079C4×#41—434no—
1080C4×#41—438no—
1081C2×C4×Q8—431no—
1082C2×C4×Q8—432no—
1083C2×C4×Q8—432no—
1084C2×C4×Q8C2×D4311yescharacteristic, complemented
1085C2×C4×D4—432no—
1086C2×C4×D4—432no—
1087C2×C4×D4—432no—
1088C2×C4×D4—431no—
1089C2×C4×D4—432no—
1090C2×C4×D4—431no—
1091C2×#117—432no—
1092C2×#117—434no—
1093C2×#117—431no—
1094C2×#117—432no—
1095C2×#117—434no—
1096C22×C42—431no—
1097C22×C42—432no—
1098C43#6281511yescharacteristic, complemented, Sylow
1099C2×#41—432no—
1100C2×#41—432no—
1101C2×#41—432no—
1102C2×#41—432no—
1103C2×#41—432no—
1104C2×#41—434no—
1105C2×#41—434no—
1106C2×#41—432no—
1107C2×#41—434no—
1108C2×#41—432no—
1109C2×#41—434no—
1110C2×#41—438no—
1111C2×#41—868no—
1112C2×#41—8616no—
1113C2×#41C22×D4312yes—
1114C22×Q8—432no—
1115C22×Q8—432no—
1116C22×Q8—432no—
1117C22×Q8C22×D4311yescharacteristic
1118C22×D4—434no—
1119C22×D4—432no—
1120C22×D4—432no—
1121C22×D4—432no—
1122C22×D4—432no—
1123C22×D4—431no—
1124C23×C4—431no—
1125C23×C4—434no—
1126C23×C4—432no—
1127C23×C4—431no—
1128C23×C4—431no—
1129C23×C4—432no—
1130C23×C4—432no—
1131C4⋊Q8—432no—
1132C4⋊Q8—432no—
1133C4⋊Q8—432no—
1134C4⋊Q8—434no—
1135C4⋊Q8—432no—
1136C4⋊Q8—432no—
1137C4⋊Q8—432no—
1138C4⋊Q8—432no—
1139C4⋊Q8—432no—
1140C4⋊Q8—432no—
1141C4⋊Q8—431no—
1142C4⋊Q8—431no—
1143C4⋊Q8—431no—
1144C4⋊Q8C22×D4311yescharacteristic
1145C4⋊Q8C22×D4311yescharacteristic
1146C4⋊Q8C22×D4311yescharacteristic
1147C4⋊Q8C22×D4314yes—
1148#127—432no—
1149#127—432no—
1150#127—432no—
1151#127—434no—
1152#127—431no—
1153#127—434no—
1154#127C22×D4311yescharacteristic
1155#126—438no—
1156#126—438no—
1157#126—438no—
1158#126—438no—
1159#126—438no—
1160#126—438no—
1161#126—438no—
1162#126—438no—
1163#126—438no—
1164#126—438no—
1165#126C22×D4318yes—
1166#126C22×D4318yes—
1167#125—434no—
1168#125—434no—
1169#125—432no—
1170#125—432no—
1171#125—438no—
1172#125—438no—
1173#125—438no—
1174#125—438no—
1175#125—432no—
1176#125—434no—
1177#125C22×D4312yes—
1178#125C22×D4314yes—
1179#125C22×D4318yes—
1180#124—432no—
1181#124—438no—
1182#124—434no—
1183#124—434no—
1184#124—432no—
1185#124—434no—
1186#124—434no—
1187#124—438no—
1188#124—438no—
1189#124—438no—
1190#124—432no—
1191#124—434no—
1192#124—438no—
1193#124—434no—
1194#124C22×D4312yes—
1195#124C22×D4314yes—
1196#124C22×D4314yes—
1197#123—438no—
1198#123—438no—
1199#123—438no—
1200#123—438no—
1201#123—438no—
1202#123—438no—
1203#123—438no—
1204#123—438no—
1205#123—438no—
1206#123—438no—
1207#123—438no—
1208#123—438no—
1209#123—438no—
1210#123—438no—
1211#123C22×D4318yes—
1212#123C22×D4318yes—
1213C22⋊Q8—432no—
1214C22⋊Q8—432no—
1215C22⋊Q8—434no—
1216C22⋊Q8—434no—
1217C22⋊Q8—434no—
1218C22⋊Q8—432no—
1219C22⋊Q8—432no—
1220C22⋊Q8—434no—
1221C22⋊Q8—432no—
1222C22⋊Q8—434no—
1223C22⋊Q8—432no—
1224C22⋊Q8—438no—
1225C22⋊Q8—438no—
1226C22⋊Q8—438no—
1227C22⋊Q8—434no—
1228C22⋊Q8—438no—
1229C22⋊Q8—438no—
1230C22⋊Q8—434no—
1231C22⋊Q8—434no—
1232C22⋊Q8—438no—
1233C22⋊Q8C22×D4312yes—
1234C22⋊Q8C22×D4312yes—
1235C22⋊Q8C22×D4314yes—
1236C22⋊Q8C22×D4314yes—
1237C22⋊Q8C22×D4318yes—
1238#121—434no—
1239#121—434no—
1240#121—432no—
1241#121—432no—
1242#121—434no—
1243#121—438no—
1244#121—432no—
1245#121—432no—
1246#121—434no—
1247#121—434no—
1248#121—438no—
1249#121—432no—
1250#121—432no—
1251#121—434no—
1252#121—434no—
1253#121—434no—
1254#121—438no—
1255#121—438no—
1256#121—438no—
1257#121—434no—
1258#121—434no—
1259#121—438no—
1260#121—438no—
1261#121—438no—
1262#121—438no—
1263#121—438no—
1264#121—438no—
1265#121C22×D4312yes—
1266#121C22×D4312yes—
1267#120—438no—
1268#120—438no—
1269#120—438no—
1270#120—438no—
1271C4×Q8—432no—
1272C4×Q8—432no—
1273C4×Q8—432no—
1274C4×Q8—432no—
1275C4×Q8—432no—
1276C4×Q8—432no—
1277C4×Q8—434no—
1278C4×Q8—434no—
1279C4×Q8—432no—
1280C4×Q8—432no—
1281C4×Q8—434no—
1282C4×Q8—438no—
1283C4×Q8—434no—
1284C4×Q8—438no—
1285C4×Q8—434no—
1286C4×Q8—432no—
1287C4×Q8—434no—
1288C4×Q8—432no—
1289C4×Q8—438no—
1290C4×Q8—434no—
1291C4×Q8—434no—
1292C4×Q8C22×D4312yes—
1293C4×Q8C22×D4312yes—
1294C4×Q8C22×D4312yes—
1295C4×Q8C22×D4312yes—
1296C4×Q8C22×D4312yes—
1297C4×Q8C22×D4312yes—
1298C4×Q8C22×D4314yes—
1299C4×Q8C22×D4314yes—
1300C4×D4—432no—
1301C4×D4—432no—
1302C4×D4—438no—
1303C4×D4—434no—
1304C4×D4—434no—
1305C4×D4—434no—
1306C4×D4—438no—
1307C4×D4—438no—
1308C4×D4—438no—
1309C4×D4—438no—
1310C4×D4—432no—
1311C4×D4—434no—
1312C4×D4—432no—
1313C4×D4—434no—
1314C4×D4—432no—
1315C4×D4—434no—
1316C4×D4—434no—
1317C4×D4—432no—
1318C4×D4—432no—
1319C4×D4—432no—
1320C4×D4—438no—
1321C4×D4—434no—
1322C4×D4—438no—
1323C4×D4—438no—
1324C4×D4—438no—
1325C4×D4—434no—
1326C4×D4—434no—
1327C4×D4—438no—
1328C4×D4—438no—
1329C4×D4—438no—
1330C4×D4—438no—
1331C4×D4—438no—
1332C4×D4—438no—
1333C4×D4—438no—
1334C4×D4—434no—
1335C4×D4—432no—
1336C4×D4—434no—
1337C4×D4—432no—
1338C4×D4—434no—
1339C4×D4—434no—
1340C4×D4—432no—
1341C4×D4—432no—
1342C4×D4—432no—
1343C4×D4—432no—
1344C4×D4—438no—
1345C4×D4—434no—
1346C4×D4—438no—
1347C4×D4—434no—
1348C4×D4C22×D4312yes—
1349C4×D4C22×D4312yes—
1350C4×D4C22×D4318yes—
1351C4×D4C22×D4314yes—
1352C4×D4C22×D4314yes—
1353#117—432no—
1354#117—434no—
1355#117—432no—
1356#117—432no—
1357#117—432no—
1358#117—432no—
1359#117—432no—
1360#117—432no—
1361#117—434no—
1362#117—434no—
1363#117—438no—
1364#117—434no—
1365#117—434no—
1366#117—438no—
1367#117—434no—
1368#117—434no—
1369#117—434no—
1370#117—434no—
1371#117—438no—
1372#117—434no—
1373#117—438no—
1374#117—438no—
1375#117—434no—
1376#117—438no—
1377#117—438no—
1378#117—438no—
1379#117C22×D4312yes—
1380#117C22×D4314yes—
1381#117C22×D4318yes—
1382C2×C4⋊C4—431no—
1383C2×C4⋊C4—432no—
1384C2×C4⋊C4—434no—
1385C2×C4⋊C4—432no—
1386C2×C4⋊C4—432no—
1387C2×C4⋊C4—434no—
1388C2×C4⋊C4—434no—
1389C2×C4⋊C4—432no—
1390C2×C4⋊C4—432no—
1391C2×C4⋊C4—434no—
1392C2×C4⋊C4—434no—
1393C2×C4⋊C4—432no—
1394C2×C4⋊C4—432no—
1395C2×C4⋊C4C22×D4311yescharacteristic
1396C2×C4⋊C4C22×D4312yes—
1397C2×C4⋊C4C22×D4314yes—
1398C2×C22⋊C4—432no—
1399C2×C22⋊C4—432no—
1400C2×C22⋊C4—432no—
1401C2×C22⋊C4—438no—
1402C2×C22⋊C4—434no—
1403C2×C22⋊C4—438no—
1404C2×C22⋊C4—434no—
1405C2×C22⋊C4—434no—
1406C2×C42—432no—
1407C2×C42—431no—
1408C2×C42—438no—
1409C2×C42—432no—
1410C2×C42—431no—
1411C2×C42—431no—
1412C2×C42—434no—
1413C2×C42—438no—
1414C2×C42—431no—
1415C2×C42—431no—
1416C2×C42—431no—
1417C2×C42—431no—
1418C2×C42—434no—
1419C2×C42—434no—
1420C2×C42—431no—
1421C2×C42—431no—
1422C2×C42—434no—
1423C2×C42—431no—
1424C2×C42—431no—
1425C2×C42—434no—
1426C2×C42C22×D4312yes—
1427C2×C42C22×D4311yescharacteristic
1428C24—431no—
1429C24—434no—
1430C24—432no—
1431#41—28no—
1432#41—8616no—
1433#41—8616no—
1434#41—868no—
1435#41—868no—
1436#41—868no—
1437#41—868no—
1438#41—868no—
1439#41—868no—
1440#41—868no—
1441#41—17216no—
1442#41—1728no—
1443#41—1728no—
1444C2×Q8—24no—
1445C2×Q8—434no—
1446C2×Q8—434no—
1447C2×Q8—432no—
1448C2×Q8—432no—
1449C2×Q8—434no—
1450C2×Q8—432no—
1451C2×Q8—868no—
1452C2×Q8—1724no—
1453C2×Q8—1724no—
1454C2×Q8C23×D4312yes—
1455C2×Q8C23×D4312yes—
1456C2×Q8C23×D4312yes—
1457C2×Q8C23×D4312yes—
1458C2×Q8C23×D4312yes—
1459C2×D4—434no—
1460C2×D4—434no—
1461C2×D4—434no—
1462C2×D4—434no—
1463C2×D4—438no—
1464C2×D4—438no—
1465C2×D4—434no—
1466C2×D4—434no—
1467C2×D4—434no—
1468C2×D4—434no—
1469C2×D4—432no—
1470C2×D4—432no—
1471C2×D4—432no—
1472C2×D4—432no—
1473C2×D4—438no—
1474C2×D4—438no—
1475C2×D4—432no—
1476C2×D4—868no—
1477C2×D4—868no—
1478C2×D4—8616no—
1479C2×D4—864no—
1480C2×D4—1724no—
1481C2×D4—1724no—
1482C2×D4C23×D4314yes—
1483C2×D4C23×D4312yes—
1484C2×D4C23×D4312yes—
1485C2×D4C23×D4312yes—
1486C22×C4—431no—
1487C22×C4—438no—
1488C22×C4—431no—
1489C22×C4—431no—
1490C22×C4—431no—
1491C22×C4—431no—
1492C22×C4—431no—
1493C22×C4—434no—
1494C22×C4—432no—
1495C22×C4—431no—
1496C22×C4—438no—
1497C22×C4—431no—
1498C22×C4—431no—
1499C22×C4—431no—
1500C22×C4—431no—
1501C22×C4—434no—
1502C22×C4—434no—
1503C22×C4—434no—
1504C22×C4—434no—
1505C22×C4—434no—
1506C22×C4—434no—
1507C22×C4—434no—
1508C22×C4—431no—
1509C22×C4—431no—
1510C22×C4—431no—
1511C22×C4—431no—
1512C22×C4—434no—
1513C22×C4—434no—
1514C22×C4—434no—
1515C22×C4—434no—
1516C22×C4—438no—
1517C22×C4—438no—
1518C22×C4—868no—
1519C22×C4—8616no—
1520C22×C4—1722no—
1521C22×C4—1724no—
1522C22×C4—1722no—
1523C22×C4—1724no—
1524C22×C4C23×D4311yescharacteristic
1525C22×C4C23×D4312yes—
1526C22×C4C23×D4314yes—
1527C22×C4C23×D4312yes—
1528C22×C4C23×D4311yescharacteristic
1529C22×C4C23×D4318yes—
1530C22×C4C23×D4311yescharacteristic
1531C4⋊C4—432no—
1532C4⋊C4—432no—
1533C4⋊C4—432no—
1534C4⋊C4—432no—
1535C4⋊C4—434no—
1536C4⋊C4—434no—
1537C4⋊C4—434no—
1538C4⋊C4—434no—
1539C4⋊C4—432no—
1540C4⋊C4—432no—
1541C4⋊C4—434no—
1542C4⋊C4—434no—
1543C4⋊C4—438no—
1544C4⋊C4—438no—
1545C4⋊C4—434no—
1546C4⋊C4—438no—
1547C4⋊C4—434no—
1548C4⋊C4—434no—
1549C4⋊C4—434no—
1550C4⋊C4—432no—
1551C4⋊C4—434no—
1552C4⋊C4—434no—
1553C4⋊C4—434no—
1554C4⋊C4—434no—
1555C4⋊C4—432no—
1556C4⋊C4—438no—
1557C4⋊C4—438no—
1558C4⋊C4C23×D4312yes—
1559C4⋊C4C23×D4312yes—
1560C4⋊C4C23×D4312yes—
1561C4⋊C4C23×D4312yes—
1562C4⋊C4C23×D4312yes—
1563C4⋊C4C23×D4314yes—
1564C4⋊C4C23×D4312yes—
1565C4⋊C4C23×D4314yes—
1566C4⋊C4C23×D4312yes—
1567C4⋊C4C23×D4312yes—
1568C4⋊C4C23×D4314yes—
1569C4⋊C4C23×D4314yes—
1570C4⋊C4C23×D4318yes—
1571C4⋊C4C23×D4318yes—
1572C4⋊C4C23×D4318yes—
1573C22⋊C4—434no—
1574C22⋊C4—438no—
1575C22⋊C4—434no—
1576C22⋊C4—434no—
1577C22⋊C4—434no—
1578C22⋊C4—434no—
1579C22⋊C4—434no—
1580C22⋊C4—434no—
1581C22⋊C4—434no—
1582C22⋊C4—434no—
1583C22⋊C4—438no—
1584C22⋊C4—434no—
1585C22⋊C4—438no—
1586C22⋊C4—434no—
1587C22⋊C4—434no—
1588C22⋊C4—434no—
1589C22⋊C4—434no—
1590C22⋊C4—434no—
1591C22⋊C4—438no—
1592C22⋊C4—438no—
1593C22⋊C4—438no—
1594C22⋊C4—438no—
1595C22⋊C4—438no—
1596C22⋊C4—438no—
1597C22⋊C4C23×D4314yes—
1598C22⋊C4C23×D4318yes—
1599C22⋊C4C23×D4314yes—
1600C22⋊C4C23×D4314yes—
1601C22⋊C4C23×D4318yes—
1602C22⋊C4C23×D4318yes—
1603C42—434no—
1604C42—431no—
1605C42—431no—
1606C42—431no—
1607C42—431no—
1608C42—431no—
1609C42—434no—
1610C42—434no—
1611C42—431no—
1612C42—434no—
1613C42—434no—
1614C42—431no—
1615C42—431no—
1616C42—431no—
1617C42—431no—
1618C42—434no—
1619C42—431no—
1620C42—431no—
1621C42—438no—
1622C42—438no—
1623C42—438no—
1624C42—434no—
1625C42C23×D4314yes—
1626C42C23×D4311yescharacteristic
1627C42C23×D4311yescharacteristic
1628C42C23×D4314yes—
1629C42C23×D4311yescharacteristic
1630C42C23×D4311yescharacteristic
1631C42C23×D4318yes—
1632C42C23×D4314yes—
1633C23—431no—
1634C23—431no—
1635C23—434no—
1636C23—434no—
1637C23—434no—
1638C23—868no—
1639C23—864no—
1640C23—1724no—
1641C23—1724no—
1642C23—1721no—
1643C23—1722no—
1644C23—1721no—
1645C23—1722no—
1646C23C24×D4314yes—
1647C23C24×D4311yescharacteristic
1648Q8—24no—
1649Q8—24no—
1650Q8—24no—
1651Q8—24no—
1652Q8—42no—
1653Q8—868no—
1654Q8—868no—
1655Q8—864no—
1656Q8—864no—
1657Q8—1722no—
1658Q8—1724no—
1659D4—28no—
1660D4—24no—
1661D4—24no—
1662D4—42no—
1663D4—868no—
1664D4—868no—
1665D4—868no—
1666D4—868no—
1667D4—868no—
1668D4—868no—
1669D4—868no—
1670D4—864no—
1671D4—864no—
1672D4—864no—
1673D4—864no—
1674D4—1722no—
1675D4—1728no—
1676D4—1728no—
1677D4—1724no—
1678D4—1728no—
1679D4—1728no—
1680C2×C4—24no—
1681C2×C4—28no—
1682C2×C4—22no—
1683C2×C4—42no—
1684C2×C4—41no—
1685C2×C4—48no—
1686C2×C4—434no—
1687C2×C4—431no—
1688C2×C4—431no—
1689C2×C4—431no—
1690C2×C4—434no—
1691C2×C4—434no—
1692C2×C4—434no—
1693C2×C4—434no—
1694C2×C4—431no—
1695C2×C4—434no—
1696C2×C4—431no—
1697C2×C4—434no—
1698C2×C4—434no—
1699C2×C4—434no—
1700C2×C4—431no—
1701C2×C4—868no—
1702C2×C4—868no—
1703C2×C4—868no—
1704C2×C4—862no—
1705C2×C4—862no—
1706C2×C4—868no—
1707C2×C4—868no—
1708C2×C4—868no—
1709C2×C4—862no—
1710C2×C4—868no—
1711C2×C4—862no—
1712C2×C4—862no—
1713C2×C4—868no—
1714C2×C4—1724no—
1715C2×C4—1721no—
1716C2×C4—1721no—
1717C2×C4—1724no—
1718C2×C4—1721no—
1719C2×C4—1721no—
1720C2×C4—1724no—
1721C2×C4—1724no—
1722C2×C4—1728no—
1723C2×C4—1728no—
1724C2×C4—1722no—
1725C2×C4—1721no—
1726C2×C4—1728no—
1727C2×C4#41×D4314yes—
1728C2×C4C24×D4314yes—
1729C2×C4C24×D4314yes—
1730C2×C4C24×D4311yescharacteristic
1731C2×C4C24×D4311yescharacteristic
1732C2×C4C24×D4314yes—
1733C2×C4C24×D4314yes—
1734C2×C4C24×D4311yescharacteristic
1735C2×C4C24×D4314yes—
1736C2×C4C24×D4311yescharacteristic
1737C2×C4C24×D4311yescharacteristic
1738C2×C4C24×D4311yescharacteristic
1739C22—21no—
1740C22—21no—
1741C22—24no—
1742C22—24no—
1743C22—24no—
1744C22—432no—
1745C22—432no—
1746C22—861no—
1747C22—861no—
1748C22—861no—
1749C22—861no—
1750C22—864no—
1751C22—864no—
1752C22—864no—
1753C22—864no—
1754C22—864no—
1755C22—864no—
1756C22—3448no—
1757C22—1724no—
1758C22—1728no—
1759C22C2×#41×D4312yes—
1760C22C25×D4311yescharacteristic
1761C4—24no—
1762C4—24no—
1763C4—24no—
1764C4—24no—
1765C4—21no—
1766C4—21no—
1767C4—21no—
1768C4—24no—
1769C4—432no—
1770C4—432no—
1771C4—432no—
1772C4—864no—
1773C4—861no—
1774C4—864no—
1775C4—864no—
1776C4—861no—
1777C4—861no—
1778C4—864no—
1779C4C2×#41×D4312yes—
1780C4C2×#41×D4312yes—
1781C4#1458373612yes—
1782C2—22no—
1783C2—44no—
1784C2—862no—
1785C2—862no—
1786C2—1724no—
1787C2—1724no—
1788C2C22×#41×D4311yescharacteristic
1789C2#585×D4311yescharacteristic
1790C2C2×#1458373611yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3507C2
hypercenter#3507D43
hypocenterC43#62815
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3507

Complements

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

NH ≅ G/Ntype
1. #19148509C2semidirect
2. #19148503C2semidirect
3. #19148499C2semidirect
4. #19148485C2semidirect
5. #19148478C2semidirect
6. #19148468C2semidirect
7. #19148460C2semidirect
8. #19148459C2semidirect
9. #19148449C2semidirect
10. #19148444C2semidirect
11. #19148440C2semidirect
12. #19148430C2semidirect
13. #19148427C2semidirect
14. #19148195C2semidirect
15. #19148191C2semidirect
16. #19148187C2semidirect
17. #19148161C2semidirect
18. #19148156C2semidirect
19. #19148148C2semidirect
20. #19147981C2semidirect
21. #19147927C2semidirect
22. #19147889C2semidirect
23. #533×D43C2semidirect
24. #532×D43C2semidirect
25. #19147795C2semidirect
26. C2×C4×#10621902C2semidirect
27. C43×#3507C2semidirect
30. #14583634C22semidirect
31. #14583634C22semidirect
32. #14583634C22semidirect
33. #14583632C22semidirect
34. #14583631C22semidirect
35. #14583631C22semidirect
36. #14583627C22semidirect
37. #14583624C22semidirect
38. #14583623C22semidirect
39. #14583623C22semidirect
40. #14583622C22semidirect
41. #14583622C22semidirect
42. #14583621C22semidirect
43. #14583621C22semidirect
44. #14583620C22semidirect
45. #14583618C22semidirect
46. #14583615C22semidirect
47. #14583614C22semidirect
48. #14583612C22semidirect
49. #14583609C22semidirect
50. #14583607C22semidirect
51. #14583602C22semidirect
52. #14583602C22semidirect
53. #14583602C22semidirect
54. #14583600C22semidirect
55. #14583600C22semidirect
56. #14583599C22semidirect
57. #14583597C22semidirect
58. #14583595C22semidirect
59. #14583594C22semidirect
60. #14583593C22semidirect
61. #14583593C22semidirect
62. #14583591C22semidirect
63. #14583590C22semidirect
64. #14583590C22semidirect
65. #14583587C22semidirect
66. #14583583C22semidirect
67. #14583581C22semidirect
68. #14583576C22semidirect
69. #14583574C22semidirect
70. #14583574C22semidirect
71. #14583573C22semidirect
72. #14583571C22semidirect
73. #14583570C22semidirect
74. #14583569C22semidirect
75. #14583561C22semidirect
76. #14583559C22semidirect
77. #14583557C22semidirect
78. #14583553C22semidirect
79. #14583552C22semidirect
80. #14583550C22semidirect
81. #14583544C22semidirect
82. #14583542C22semidirect
83. #14583541C22semidirect
84. #14583519C22semidirect
85. #14583515C22semidirect
86. #14583508C22semidirect
87. #14583501C22semidirect
88. #14583496C22semidirect
89. #14583493C22semidirect
90. #14583489C22semidirect
91. #14583486C22semidirect
92. #14583482C22semidirect
93. #14583479C22semidirect
94. #14583479C22semidirect
96. #14583473C22semidirect
97. #14583468C22semidirect
99. #14583463C22semidirect
101. #14583456C22semidirect
102. #14583455C22semidirect
103. #14583455C22semidirect
104. #14583454C22semidirect
105. #14583454C22semidirect
106. #14583453C22semidirect
107. #14583453C22semidirect
108. #14583453C22semidirect
109. #14583452C22semidirect
110. #14583451C22semidirect
111. #14583451C22semidirect
112. #14583450C22semidirect
113. #14583450C22semidirect
115. #14583448C22semidirect
116. #14583448C22semidirect
117. #14583448C22semidirect
118. #14583447C22semidirect
119. #14583446C22semidirect
120. #14583446C22semidirect
121. #14583446C22semidirect
125. C4⋊Q8×D43C22semidirect
126. C4⋊Q8×D43C22semidirect
127. C4⋊Q8×D43C22semidirect
128. #127×D43C22semidirect
129. #14583435C22semidirect
130. #14583434C22semidirect
131. #14583434C22semidirect
132. #14583433C22semidirect
133. #14583432C22semidirect
134. #14583432C22semidirect
135. #14583432C22semidirect
136. #14583428C22semidirect
137. #14583427C22semidirect
138. #14583426C22semidirect
139. #14583426C22semidirect
140. #125×D43C22semidirect
141. #124×D43C22semidirect
144. #14583412C22semidirect
145. #14583409C22semidirect
146. #14583408C22semidirect
147. #14583407C22semidirect
152. #14583382C22semidirect
153. #14583380C22semidirect
154. #14583380C22semidirect
155. #14583379C22semidirect
156. #14583379C22semidirect
157. #14583375C22semidirect
159. #14583371C22semidirect
164. C4×#10621902C22semidirect
165. C4×#10621902C22semidirect
166. C4×#10621902C22semidirect
167. C4×#10621902C22semidirect
168. C4×#10621902C22semidirect
169. C4×#10621902C22semidirect
170. #14583367C22semidirect
171. C4×#10621900C22semidirect
172. C4×#10621900C22semidirect
173. C4×#10621900C22semidirect
174. C2×Q8×Dic43C22semidirect
175. C4×Q8×D43C22semidirect
176. C4×Q8×D43C22semidirect
178. C2×C4×D172C22semidirect
180. C2×#13063287C22semidirect
181. C4×D4×D43C22semidirect
182. C4×D4×D43C22semidirect
184. C2×#13063283C22semidirect
185. C2×#13063283C22semidirect
187. #117×D43C22semidirect
189. C2×C42×D43C22semidirect
190. C43×#559C22semidirect
191. C43×#557C22semidirect
192. C43×#556C22semidirect
193. C43×#556C22semidirect
194. C43×#554C22semidirect
195. C43×#552C22semidirect
196. C43×#539C22semidirect
197. C43×#536C22semidirect
198. C43×#533C22semidirect
200. C43×#529C22semidirect
201. C43×#520C22semidirect
202. C2×C4×Q8×C43C22semidirect
603. C2×C4×D43#41semidirect
895. #3507D43semidirect
931. #559C2×D43semidirect
934. #557C2×D43semidirect
943. #556C2×D43semidirect
944. #556C2×D43semidirect
950. #554C2×D43semidirect
968. #552C2×D43semidirect
991. #539C2×D43semidirect
999. #536C2×D43semidirect
1015. #533C2×D43semidirect
1045. #529C2×D43semidirect
1063. #520C2×D43semidirect
1084. C2×C4×Q8C2×D43semidirect
1098. C43#62815semidirect

Maximal subgroups

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

subgroupindex
#191485092
#191485032
#191484992
#191484852
#191484782
#191484682
#191484602
#191484592
#191484492
#191484442
#191484402
#191484302
#191484272
#191481952
#191481912
#191481872
#191481612
#191481562
#191481482
#191479812
#191479272
#191478892
#533×D432
#532×D432
#191477952
C2×C4×#106219022
C43×#35072
#6281543