Finite Group Databasebeta

← #26005239

Subgroups — #26005239

Order 11008.

7242 conjugacy classes of subgroups.

The subgroup lattice has 2062 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148881C214yesmaximal, complemented
2#19148873C214yesmaximal, complemented
3#19148842C212yesmaximal, complemented
4#19148837C212yesmaximal, complemented
5#19148819C212yesmaximal, complemented
6#19148812C212yesmaximal, complemented
7#19148807C214yesmaximal, complemented
8#19148796C214yesmaximal, complemented
9#19148636C214yesmaximal, complemented
10#19148634C214yesmaximal, complemented
11#19148428C214yesmaximal, complemented
12#19148394C214yesmaximal, complemented
13#19148338C214yesmaximal, complemented
14#19148304C211yesmaximal, characteristic, complemented
15#19148296C212yesmaximal, complemented
16#19148296C212yesmaximal, complemented
17#19148278C212yesmaximal, complemented
18#19148278C212yesmaximal, complemented
19#19148269C214yesmaximal, complemented
20#19148242C212yesmaximal, complemented
21#525×D43C212yesmaximal, complemented
22C22×#13063303C211yesmaximal, characteristic, complemented
23C43×#3492C211yesmaximal, characteristic, complemented
24C2×#13063372C2212yescomplemented
25C2×#41×D43C2212yescomplemented
26C23×Dic86C2211yescharacteristic, complemented
27C23×C4×D43C2211yescharacteristic
28#14583653C2214yescomplemented
29#14583651C2214yescomplemented
30#14583650C2214yescomplemented
31#14583648C2214yescomplemented
32#14583647C2214yescomplemented
33#14583646C2214yescomplemented
34#14583645C2214yescomplemented
35#14583644C2214yescomplemented
36#14583621C2214yescomplemented
37#14583616C2214yescomplemented
38#14583609C2214yescomplemented
39#14583608C2214yescomplemented
40#14583608C2214yescomplemented
41#14583605C2214yescomplemented
42#14583605C2214yescomplemented
43#14583604C2214yescomplemented
44#14583604C2214yescomplemented
45#14583603C2214yescomplemented
46#14583603C2214yescomplemented
47#14583603C2214yescomplemented
48#14583603C2214yescomplemented
49#14583598C2214yescomplemented
50#14583598C2214yescomplemented
51#14583597C2214yescomplemented
52#14583592C2214yescomplemented
53#14583592C2214yescomplemented
54#14583586C2214yescomplemented
55#14583586C2214yescomplemented
56#14583585C2214yescomplemented
57#14583584C2214yescomplemented
58#14583582C2214yescomplemented
59#14583582C2214yescomplemented
60#14583582C2214yescomplemented
61#14583581C2214yescomplemented
62#14583581C2214yescomplemented
63#14583578C2214yescomplemented
64#14583578C2214yescomplemented
65#14583578C2214yescomplemented
66#14583577C2214yescomplemented
67#14583576C2214yescomplemented
68#14583576C2214yescomplemented
69#14583574C2214yescomplemented
70#14583573C2214yescomplemented
71#14583573C2214yescomplemented
72#14583573C2214yescomplemented
73#14583572C2214yescomplemented
74#14583572C2214yescomplemented
75D4×Dic86C2214yescomplemented
76D4×Dic86C2214yescomplemented
77#14583564C2214yescomplemented
78#14583562C2214yescomplemented
79#14583562C2214yescomplemented
80#14583562C2214yescomplemented
81#14583559C2214yescomplemented
82#14583558C2214yescomplemented
83#14583558C2214yescomplemented
84#14583558C2214yescomplemented
85#14583555C2214yescomplemented
86#14583555C2214yescomplemented
87#14583550C2214yescomplemented
88#14583550C2214yescomplemented
89#14583548C2214yescomplemented
90#14583548C2214yescomplemented
91#14583547C2214yescomplemented
92#14583547C2214yescomplemented
93#14583547C2214yescomplemented
94#14583544C2214yescomplemented
95#14583544C2214yescomplemented
96#14583541C2214yescomplemented
97#14583541C2214yescomplemented
98#14583541C2214yescomplemented
99#14583538C2214yescomplemented
100#14583538C2214yescomplemented
101#14583538C2214yescomplemented
102#14583537C2214yescomplemented
103#14583537C2214yescomplemented
104#14583530C2211yescharacteristic, complemented
105#14583529C2214yescomplemented
106#14583528C2212yescomplemented
107#14583528C2212yescomplemented
108#14583526C2214yescomplemented
109#14583524C2212yes—
110#14583524C2212yes—
111#14583524C2214yescomplemented
112#14583524C2214yescomplemented
113#14583521C2214yescomplemented
114#14583520C2214yescomplemented
115#14583519C2214yescomplemented
116#14583519C2214yescomplemented
117#14583517C2214yescomplemented
118#14583515C2214yescomplemented
119#14583508C2214yescomplemented
120#14583508C2214yescomplemented
121#14583498C2212yescomplemented
122#14583498C2212yescomplemented
123#14583497C2214yescomplemented
124#14583497C2214yescomplemented
125#14583496C2212yescomplemented
126#14583496C2212yescomplemented
127#14583496C2214yescomplemented
128#14583494C2212yescomplemented
129#14583494C2212yescomplemented
130#14583492C2214yescomplemented
131#14583491C2214yescomplemented
132#14583491C2214yescomplemented
133#14583491C2214yescomplemented
134#14583490C2214yescomplemented
135#14583489C2212yescomplemented
136#14583489C2212yescomplemented
137#14583488C2214yescomplemented
138#14583486C2212yescomplemented
139#14583486C2212yescomplemented
140#14583482C2214yescomplemented
141#14583482C2214yescomplemented
142#14583481C2214yescomplemented
143#14583480C2211yescharacteristic, complemented
144#14583479C2214yescomplemented
145#14583476C2212yescomplemented
146#14583476C2212yescomplemented
147#14583476C2214yescomplemented
148#14583475C2212yescomplemented
149#14583474C2214yescomplemented
150#14583471C2214yescomplemented
151#14583471C2214yescomplemented
152#14583471C2214yescomplemented
153#14583470C2212yescomplemented
154#14583457C2212yes—
155#14583457C2212yes—
156#14583455C2214yescomplemented
157#14583453C2214yescomplemented
158#14583432C2214yescomplemented
159#14583427C2214yescomplemented
160#14583412C2212yes—
161#14583412C2212yescomplemented
162#14583411C2212yes—
163#14583410C2212yescomplemented
164#14583410C2212yescomplemented
165#14583410C2212yescomplemented
166#14583409C2212yes—
167#14583409C2212yescomplemented
168#14583408C2214yes—
169#14583408C2214yescomplemented
170#14583408C2214yescomplemented
171#14583407C2214yes—
172#14583407C2214yescomplemented
173#14583406C2212yes—
174#14583405C2214yescomplemented
175#14583405C2214yescomplemented
176#14583405C2214yescomplemented
177#123×D43C2214yescomplemented
178C2×#13063303C2214yes—
179C2×#13063303C2214yescomplemented
180C2×#13063303C2212yescomplemented
181C2×#13063303C2212yescomplemented
182C2×#13063303C2214yescomplemented
183C2×#13063303C2214yescomplemented
184C2×#13063303C2212yescomplemented
185C2×#13063303C2212yescomplemented
186C2×#13063303C2214yescomplemented
187C22⋊Q8×D43C2212yes—
188C22⋊Q8×D43C2212yescomplemented
189C22⋊Q8×D43C2214yescomplemented
190#121×D43C2212yes—
191#121×D43C2212yescomplemented
192#120×D43C2214yes—
193#14583380C2212yescomplemented
194#14583378C2214yescomplemented
195#14583378C2214yescomplemented
196#14583376C2212yescomplemented
197#14583371C2214yes—
198#14583371C2214yes—
199C4×D4×D43C2214yes—
200C4×D4×D43C2214yescomplemented
201#117×D43C2212yescomplemented
202C22×Dic43⋊C4C2211yescharacteristic, complemented
203C22×Dic43⋊C4C2211yescharacteristic, complemented
204C22×(C2×D43)⋊C4C2211yescharacteristic
205C22×(C2×D43)⋊C4C2211yescharacteristic
206C43×#554C2214yescomplemented
207C43×#553C2214yescomplemented
208C43×#552C2214yescomplemented
209C43×#547C2214yescomplemented
210C43×#544C2211yescharacteristic, complemented
211C43×#539C2212yescomplemented
212C43×#539C2212yescomplemented
213C43×#537C2211yescharacteristic, complemented
214C43×#525C2212yescomplemented
215C43×#525C2212yescomplemented
216C43×#525C2212yescomplemented
217C43×#520C2212yescomplemented
218C22×C4⋊C4×C43C2211yescharacteristic, complemented
219C24×D43C2311yescharacteristic
220#13063372—48no—
221C2×#10621902C2312yes—
222C2×#10621898C2314yes—
223C2×#10621898C2312yes—
224C2×#10621898C2312yes—
225C2×#10621898C2312yes—
226C2×#10621898C2314yescomplemented
227C2×#10621900C2314yes—
228C2×#10621900C2314yes—
229C2×#10621900C2314yes—
230C2×#10621900C2312yes—
231C2×#10621900C2314yescomplemented
232#41×D43—48no—
233C22×Dic86—44no—
234C22×Dic86C2312yes—
235C22×Dic86C2312yes—
236C22×Dic86C2314yes—
237C22×Dic86C2312yes—
238C22×Dic86C2312yes—
239C22×Dic86C2314yescomplemented
240C2×Q8×D43C2312yes—
241C2×Q8×D43C2314yescomplemented
242C2×D4×D43C2314yes—
243C2×D4×D43C2314yes—
244C2×D4×D43C2314yes—
245C2×D4×D43C2312yes—
246C23×Dic43C2311yescharacteristic
247C23×Dic43C2311yescharacteristic
248C23×Dic43C2311yescharacteristic
249C22×C4×D43—44no—
250C22×C4×D43C2312yes—
251C22×C4×D43C2312yes—
252C22×C4×D43C2314yes—
253C22×C4×D43C2312yes—
254C22×C4×D43C2312yes—
255C22×C4×D43C2312yes—
256C22×C4×D43C2312yes—
257#13063325C2314yescomplemented
258#13063324C2314yescomplemented
259#13063324C2314yescomplemented
260#13063324C2314yescomplemented
261#13063324C2314yescomplemented
262#13063324C2314yescomplemented
263#13063324C2314yescomplemented
264#13063324C2314yescomplemented
265#13063323C2314yescomplemented
266#13063323C2314yescomplemented
267#13063323C2314yescomplemented
268#13063320C2314yes—
269#13063320C2314yes—
270#13063320C2314yes—
271#13063320C2314yes—
272#13063320C2314yes—
273#13063320C2314yes—
274#13063320C2314yescomplemented
275#13063320C2314yescomplemented
276#13063320C2314yescomplemented
277#13063320C2314yescomplemented
278#13063319C2314yes—
279#13063319C2314yes—
280#13063319C2314yescomplemented
281#13063319C2314yescomplemented
282#13063318C2314yescomplemented
283#13063318C2314yescomplemented
284#13063318C2314yescomplemented
285#13063318C2314yescomplemented
286#13063317C2314yescomplemented
287#13063317C2314yescomplemented
288#13063316C2314yescomplemented
289#13063316C2314yescomplemented
290#13063316C2314yescomplemented
291#13063315C2314yescomplemented
292#13063315C2314yescomplemented
293#13063315C2314yescomplemented
294#13063315C2314yescomplemented
295#13063315C2314yescomplemented
296#13063315C2314yescomplemented
297#13063315C2314yescomplemented
298#13063315C2314yescomplemented
299#13063315C2314yescomplemented
300#13063315C2314yescomplemented
301#13063314C2314yes—
302#13063314C2314yes—
303#13063313C2314yes—
304#13063313C2314yes—
305#13063313C2314yescomplemented
306#13063312C2314yescomplemented
307#13063311C2314yes—
308#13063311C2314yes—
309#13063311C2314yes—
310#13063311C2314yes—
311#13063311C2314yescomplemented
312#13063311C2314yescomplemented
313#13063311C2314yescomplemented
314#13063311C2314yescomplemented
315#13063310C2314yes—
316#13063310C2314yes—
317#13063310C2314yes—
318#13063310C2314yes—
319#13063310C2314yes—
320#13063310C2314yes—
321#13063310C2314yes—
322#13063310C2314yes—
323#13063310C2314yescomplemented
324#13063310C2314yescomplemented
325#13063310C2314yescomplemented
326#13063310C2314yescomplemented
327#13063309C2314yes—
328#13063309C2314yes—
329#13063309C2314yes—
330#13063309C2314yes—
331#13063309C2314yes—
332#13063308C2314yes—
333#13063308C2314yes—
334#13063308C2314yes—
335#13063308C2314yes—
336#13063308C2314yes—
337#13063308C2314yescomplemented
338#13063308C2314yescomplemented
339#13063307C2314yes—
340#13063307C2314yes—
341#13063307C2314yes—
342#13063307C2314yes—
343#13063307C2314yescomplemented
344#13063307C2314yescomplemented
345#13063306C2314yes—
346#13063306C2314yes—
347#13063306C2314yes—
348#13063306C2314yescomplemented
349#13063306C2314yescomplemented
350#13063305C2314yes—
351#13063305C2314yes—
352#13063305C2312yes—
353#13063305C2312yes—
354#13063305C2314yescomplemented
355#13063305C2314yescomplemented
356#13063305C2314yescomplemented
357#13063304C2312yes—
358#13063304C2312yes—
359#13063304C2312yes—
360#13063304C2312yes—
361#13063304C2312yes—
362#13063304C2312yes—
363#13063304C2314yescomplemented
364#13063304C2314yescomplemented
365#13063304C2314yescomplemented
366#13063304C2314yescomplemented
367#13063303C2314yes—
368#13063303C2314yes—
369#13063303C2314yes—
370#13063303C2314yes—
371#13063303C2314yes—
372#13063303C2314yes—
373#13063303C2314yes—
374#13063303C2314yes—
375#13063303C2314yes—
376#13063303C2314yes—
377#13063303C2314yes—
378#13063303C2314yes—
379#13063303C2314yes—
380#13063303C2314yes—
381#13063303C2314yes—
382#13063303C2314yes—
383#13063303C2314yes—
384#13063303C2314yes—
385#13063303C2314yes—
386#13063303C2314yes—
387#13063303C2314yes—
388#13063303C2314yes—
389#13063303C2314yescomplemented
390#13063303C2314yescomplemented
391#13063303C2314yescomplemented
392#13063303C2314yescomplemented
393#13063303C2314yescomplemented
394#13063303C2314yescomplemented
395#13063303C2314yescomplemented
396#13063303C2314yescomplemented
397#13063303C2314yescomplemented
398#13063303C2314yescomplemented
399#13063302C2314yes—
400#13063302C2314yes—
401#13063302C2314yes—
402#13063302C2314yes—
403#13063302C2314yes—
404#13063302C2314yes—
405#13063302C2314yescomplemented
406#13063302C2314yescomplemented
407#13063302C2314yescomplemented
408#13063302C2314yescomplemented
409#13063302C2314yescomplemented
410#13063302C2314yescomplemented
411#13063302C2314yescomplemented
412#13063302C2314yescomplemented
413#13063301C2314yes—
414#13063301C2314yes—
415#13063301C2312yes—
416#13063301C2312yes—
417#13063301C2314yescomplemented
418#13063301C2314yescomplemented
419#13063300C2314yes—
420#13063300C2312yes—
421#13063300C2312yes—
422#13063300C2314yes—
423#13063300C2314yescomplemented
424#13063299C2312yes—
425#13063299C2312yes—
426#13063299C2314yes—
427#13063299C2312yes—
428#13063299C2312yes—
429#13063299C2312yes—
430#13063299C2314yes—
431#13063299C2312yes—
432#13063298C2314yes—
433#13063298C2314yes—
434#13063298C2314yes—
435#13063298C2314yes—
436#13063298C2314yescomplemented
437#13063298C2314yescomplemented
438#13063297C2314yes—
439#13063297C2314yes—
440#13063297C2314yes—
441#13063297C2314yes—
442#13063297C2314yes—
443#13063297C2314yes—
444#13063297C2314yes—
445#13063297C2314yes—
446#13063297C2314yescomplemented
447#13063297C2314yescomplemented
448#13063296C2312yes—
449#13063296C2312yes—
450#13063295C2314yes—
451#13063295C2314yes—
452#13063295C2314yes—
453#13063295C2314yes—
454#13063295C2314yes—
455#13063294C2314yes—
456#13063293C2314yes—
457#13063293C2314yes—
458#13063293C2314yes—
459#13063293C2314yes—
460#13063293C2314yes—
461C4×Dic86C2314yescomplemented
462C4×Dic86C2314yescomplemented
463C4×Dic86C2314yescomplemented
464C4×Dic86C2314yescomplemented
465#13063290C2314yescomplemented
466#13063290C2314yescomplemented
467#13063290C2314yescomplemented
468#13063290C2314yescomplemented
469#13063290C2314yescomplemented
470C4×D172C2314yes—
471C4×D172C2314yes—
472C4×D172C2314yes—
473C4×D172C2314yes—
474D4×Dic43C2314yes—
475D4×Dic43C2314yes—
476D4×Dic43C2314yes—
477D4×Dic43C2314yes—
478D4×Dic43C2314yes—
479D4×Dic43C2314yes—
480#13063287C2314yes—
481#13063287C2314yes—
482#13063287C2314yes—
483#13063287C2314yes—
484#13063287C2314yescomplemented
485C4×C22⋊D43C2314yes—
486C4×C22⋊D43C2314yes—
487C4×C22⋊D43C2314yes—
488C4×C22⋊D43C2314yes—
489C4×C22⋊D43C2314yes—
490C4×C22⋊D43C2314yes—
491C4×C22⋊D43C2314yes—
492C4×C22⋊D43C2314yes—
493C4×C22⋊D43C2314yes—
494C4×C22⋊D43C2314yes—
495C4×C22⋊D43C2314yescomplemented
496C4×C22⋊D43C2314yescomplemented
497(C22⋊D43)⋊C4C2314yes—
498(C22⋊D43)⋊C4C2314yes—
499(C22⋊D43)⋊C4C2314yes—
500(C22⋊D43)⋊C4C2314yes—
501(C22⋊D43)⋊C4C2314yes—
502(C22⋊D43)⋊C4C2314yes—
503(C22⋊D43)⋊C4C2314yes—
504(C22⋊D43)⋊C4C2314yes—
505(C22⋊D43)⋊C4C2314yes—
506(C22⋊D43)⋊C4C2314yes—
507(C22⋊D43)⋊C4C2314yescomplemented
508(C22⋊D43)⋊C4C2314yescomplemented
509#13063284C2312yes—
510#13063284C2312yes—
511#13063284C2312yes—
512#13063283C2314yes—
513#13063283C2314yes—
514#13063283C2312yes—
515#13063283C2312yes—
516#13063283C2314yescomplemented
517#13063282C2314yes—
518#13063282C2314yes—
519#13063282C2314yes—
520#13063282C2314yescomplemented
521#13063282C2314yescomplemented
522#13063281C2314yes—
523#13063281C2314yes—
524#13063281C2314yes—
525#13063281C2314yescomplemented
526#13063281C2314yescomplemented
527C2×Dic43⋊C4C2312yes—
528C2×Dic43⋊C4C2314yes—
529C2×Dic43⋊C4C2312yes—
530C2×Dic43⋊C4C2314yes—
531C2×Dic43⋊C4C2314yes—
532C2×Dic43⋊C4C2312yes—
533C2×Dic43⋊C4C2312yes—
534C2×Dic43⋊C4C2312yes—
535C2×Dic43⋊C4C2312yes—
536C2×Dic43⋊C4C2314yescomplemented
537C2×Dic43⋊C4C2314yescomplemented
538C4⋊C4×D43C2312yes—
539C4⋊C4×D43C2312yes—
540C4⋊C4×D43C2314yes—
541C4⋊C4×D43C2314yes—
542C4⋊C4×D43C2314yescomplemented
543C4⋊C4×D43C2314yescomplemented
544C4⋊C4×D43C2314yescomplemented
545C2×(C2×D43)⋊C4C2312yes—
546C2×(C2×D43)⋊C4C2314yes—
547C2×(C2×D43)⋊C4C2312yes—
548C2×(C2×D43)⋊C4C2314yes—
549C2×(C2×D43)⋊C4C2312yes—
550C2×(C2×D43)⋊C4C2314yes—
551C2×(C2×D43)⋊C4C2312yes—
552C2×(C2×D43)⋊C4C2314yes—
553C2×(C2×D43)⋊C4C2312yes—
554C2×(C2×D43)⋊C4C2312yes—
555C2×(C2×D43)⋊C4C2312yes—
556C2×(C2×D43)⋊C4C2312yes—
557C22⋊C4×D43C2314yes—
558C22⋊C4×D43C2314yes—
559C22⋊C4×D43C2314yes—
560C22⋊C4×D43C2314yes—
561C22⋊C4×D43C2314yes—
562C22⋊C4×D43C2314yes—
563C22⋊C4×D43C2314yes—
564C42×D43C2314yes—
565C2×#41×C43C2312yes—
566C2×#41×C43C2312yes—
567C2×#41×C43C2312yes—
568C23×C4×C43C2311yescharacteristic
569C23×C4×C43C2311yescharacteristic
570C23×C4×C43C2311yescharacteristic
571C4⋊Q8×C43C2314yescomplemented
572#126×C43C2314yescomplemented
573#126×C43C2314yescomplemented
574#125×C43C2314yescomplemented
575#125×C43C2314yescomplemented
576#125×C43C2314yescomplemented
577#123×C43C2314yes—
578#123×C43C2314yes—
579#123×C43C2314yes—
580#123×C43C2314yescomplemented
581#123×C43C2314yescomplemented
582C22⋊Q8×C43C2312yes—
583C22⋊Q8×C43C2312yes—
584C22⋊Q8×C43C2312yes—
585C22⋊Q8×C43C2312yes—
586C22⋊Q8×C43C2312yes—
587C22⋊Q8×C43C2312yes—
588C22⋊Q8×C43C2314yescomplemented
589C22⋊Q8×C43C2314yescomplemented
590C22⋊Q8×C43C2314yescomplemented
591#121×C43C2312yes—
592#121×C43C2312yes—
593#121×C43C2312yes—
594#121×C43C2312yes—
595#121×C43C2312yes—
596#121×C43C2312yes—
597#121×C43C2314yescomplemented
598#120×C43C2314yes—
599C4×Q8×C43C2314yescomplemented
600C4×D4×C43C2314yes—
601C4×D4×C43C2314yes—
602C4×D4×C43C2314yes—
603C4×D4×C43C2314yes—
604C4×D4×C43C2314yes—
605C4×D4×C43C2314yes—
606C4×D4×C43C2314yescomplemented
607#117×C43C2312yes—
608#117×C43C2312yes—
609#117×C43C2312yes—
610#117×C43C2314yescomplemented
611C2×C4⋊C4×C43C2311yescharacteristic
612C2×C4⋊C4×C43C2314yes—
613C2×C4⋊C4×C43C2311yescharacteristic
614C2×C4⋊C4×C43C2311yescharacteristic
615C2×C4⋊C4×C43C2311yescharacteristic
616C2×C4⋊C4×C43C2314yes—
617C2×C4⋊C4×C43C2314yescomplemented
618C24×C43C2411yescharacteristic
619C23×D43—24no—
620C23×D43—42no—
621C23×D43—42no—
622C23×D43C2412yes—
623C23×D43C2412yes—
624C23×D43C2414yes—
625C23×D43C2411yescharacteristic
626C23×D43C2411yescharacteristic
627#41×C43—44no—
628#41×C43—44no—
629#41×C43—44no—
630C2×Q8×C43C2412yes—
631C2×Q8×C43C2412yes—
632C2×Q8×C43C2412yes—
633C2×D4×C43C2414yes—
634C2×D4×C43C2414yes—
635C2×D4×C43C2414yes—
636C2×D4×C43C2412yes—
637C2×D4×C43C2412yes—
638C2×D4×C43C2412yes—
639C22×C4×C43—42no—
640C22×C4×C43—42no—
641C22×C4×C43—42no—
642C22×C4×C43C2411yescharacteristic
643C22×C4×C43C2412yes—
644C22×C4×C43C2412yes—
645C22×C4×C43C2411yescharacteristic
646C22×C4×C43C2411yescharacteristic
647C22×C4×C43C2411yescharacteristic
648C22×C4×C43C2412yes—
649C22×C4×C43C2412yes—
650C22×C4×C43C2412yes—
651C22×C4×C43C2412yes—
652C22×C4×C43C2411yescharacteristic
653C22×C4×C43C2411yescharacteristic
654C22×C4×C43C2414yes—
655C22×C4×C43C2414yes—
656C22×C4×C43C2414yes—
657C2×C22⋊D43C2414yes—
658C2×C22⋊D43C2414yes—
659C2×C22⋊D43C2414yes—
660C2×C22⋊D43C2414yes—
661C2×C22⋊D43C2414yes—
662C2×C22⋊D43C2414yes—
663C2×C22⋊D43C2414yes—
664C2×C22⋊D43C2414yes—
665C2×C22⋊D43C2414yes—
666C22×Dic43—24no—
667C22×Dic43—42no—
668C22×Dic43—42no—
669C22×Dic43C2412yes—
670C22×Dic43C2412yes—
671C22×Dic43C2412yes—
672C22×Dic43C2412yes—
673C22×Dic43C2411yescharacteristic
674C22×Dic43C2414yes—
675C22×Dic43C2412yes—
676C22×Dic43C2412yes—
677C22×Dic43C2412yes—
678C22×Dic43C2412yes—
679C22×Dic43C2414yes—
680C22×Dic43C2414yes—
681C22×Dic43C2411yescharacteristic
682#10621902—44no—
683Q8×D43—44no—
684Q8×D43—48no—
685#10621900—216no—
686#10621900—48no—
687#10621900—44no—
688#10621900—48no—
689#10621900—48no—
690D4×D43—216no—
691D4×D43—48no—
692D4×D43—48no—
693D4×D43—44no—
694#10621898—48no—
695#10621898—48no—
696#10621898—44no—
697#10621898—44no—
698#10621898—44no—
699C2×D172C2414yes—
700C2×D172C2414yes—
701C2×D172C2412yes—
702C2×D172C2414yes—
703C2×D172C2412yes—
704C2×D172C2412yes—
705C2×C4×D43—28no—
706C2×C4×D43—44no—
707C2×C4×D43—44no—
708C2×C4×D43—44no—
709C2×C4×D43—44no—
710C2×C4×D43—44no—
711C2×C4×D43—48no—
712C2×C4×D43C2412yes—
713C2×C4×D43C2414yes—
714C2×C4×D43C2412yes—
715C2×C4×D43C2414yes—
716C2×C4×D43C2412yes—
717C2×C4×D43C2412yes—
718C2×C4×D43C2414yes—
719C2×C4×D43C2414yes—
720C2×C4×D43C2412yes—
721C2×C4×D43C2412yes—
722C2×C4×D43C2414yes—
723C2×C4×D43C2414yes—
724C2×C4×D43C2414yes—
725C2×C4×D43C2414yes—
726C2×C4×D43C2414yes—
727C2×C4×D43C2412yes—
728C2×C4×D43C2412yes—
729C2×Dic86—28no—
730C2×Dic86—44no—
731C2×Dic86—48no—
732C2×Dic86—44no—
733C2×Dic86—48no—
734C2×Dic86—44no—
735C2×Dic86C2414yes—
736C2×Dic86C2414yes—
737C2×Dic86C2414yes—
738C2×Dic86C2412yes—
739C2×Dic86C2414yes—
740C2×Dic86C2414yes—
741C2×Dic86C2412yes—
742C2×Dic86C2414yes—
743C2×Dic86C2414yes—
744C2×Dic86C2412yes—
745C4⋊C4×C43C2414yes—
746C4⋊C4×C43C2414yes—
747C4⋊C4×C43C2414yes—
748C4⋊C4×C43C2414yes—
749C4⋊C4×C43C2412yes—
750C4⋊C4×C43C2414yes—
751C4⋊C4×C43C2414yes—
752C4⋊C4×C43C2412yes—
753C4⋊C4×C43C2412yes—
754C4⋊C4×C43C2412yes—
755C4⋊C4×C43C2412yes—
756C4⋊C4×C43C2412yes—
757C4⋊C4×C43C2414yes—
758C4⋊C4×C43C2414yes—
759C4⋊C4×C43C2414yes—
760C4⋊C4×C43C2414yes—
761C22⋊C4×C43C2414yes—
762C22⋊C4×C43C2414yes—
763C22⋊C4×C43C2414yes—
764C22⋊C4×C43C2414yes—
765C22⋊C4×C43C2414yes—
766C22⋊C4×C43C2414yes—
767C22⋊C4×C43C2414yes—
768C22⋊C4×C43C2414yes—
769C22⋊C4×C43C2414yes—
770C42×C43C2414yes—
771C42×C43C2414yes—
772C42×C43C2414yes—
773C22⋊Dic43C2414yes—
774C22⋊Dic43C2414yes—
775C22⋊Dic43C2414yes—
776C22⋊Dic43C2414yes—
777C22⋊Dic43C2414yes—
778C22⋊Dic43C2414yes—
779C22⋊Dic43C2414yes—
780C22⋊Dic43C2414yes—
781C22⋊Dic43C2414yes—
782(C2×D43)⋊C4C2414yes—
783(C2×D43)⋊C4C2414yes—
784(C2×D43)⋊C4C2414yes—
785(C2×D43)⋊C4C2414yes—
786(C2×D43)⋊C4C2414yes—
787(C2×D43)⋊C4C2414yes—
788(C2×D43)⋊C4C2414yes—
789(C2×D43)⋊C4C2414yes—
790(C2×D43)⋊C4C2414yes—
791(C2×D43)⋊C4C2414yes—
792(C2×D43)⋊C4C2414yes—
793(C2×D43)⋊C4C2414yes—
794(C2×D43)⋊C4C2414yes—
795(C2×D43)⋊C4C2414yes—
796(C2×D43)⋊C4C2414yes—
797(C2×D43)⋊C4C2414yes—
798(C2×D43)⋊C4C2414yes—
799(C2×D43)⋊C4C2414yes—
800(C2×D43)⋊C4C2414yes—
801(C2×D43)⋊C4C2414yes—
802(C2×D43)⋊C4C2414yes—
803(C2×D43)⋊C4C2414yes—
804(C2×D43)⋊C4C2414yes—
805(C2×D43)⋊C4C2414yes—
806(C2×D43)⋊C4C2414yes—
807(C2×D43)⋊C4C2414yes—
808C4⋊Dic43C2412yes—
809C4⋊Dic43C2412yes—
810C4⋊Dic43C2414yes—
811C4⋊Dic43C2414yes—
812C4⋊Dic43C2412yes—
813C4⋊Dic43C2414yes—
814C4⋊Dic43C2414yes—
815C4⋊Dic43C2414yes—
816C4⋊Dic43C2414yes—
817C4⋊Dic43C2412yes—
818C4⋊Dic43C2412yes—
819C4⋊Dic43C2412yes—
820Dic43⋊C4C2414yes—
821Dic43⋊C4C2414yes—
822Dic43⋊C4C2414yes—
823Dic43⋊C4C2414yes—
824Dic43⋊C4C2414yes—
825Dic43⋊C4C2414yes—
826Dic43⋊C4C2414yes—
827Dic43⋊C4C2414yes—
828Dic43⋊C4C2414yes—
829Dic43⋊C4C2414yes—
830Dic43⋊C4C2414yes—
831Dic43⋊C4C2414yes—
832Dic43⋊C4C2414yes—
833Dic43⋊C4C2414yes—
834Dic43⋊C4C2414yes—
835Dic43⋊C4C2414yes—
836Dic43⋊C4C2414yes—
837Dic43⋊C4C2414yes—
838Dic43⋊C4C2414yes—
839Dic43⋊C4C2414yes—
840Dic43⋊C4C2414yes—
841Dic43⋊C4C2414yes—
842Dic43⋊C4C2414yes—
843Dic43⋊C4C2414yes—
844Dic43⋊C4C2414yes—
845Dic43⋊C4C2414yes—
846C4×Dic43C2414yes—
847C4×Dic43C2414yes—
848C4×Dic43C2414yes—
849C4×Dic43C2414yes—
850C4×Dic43C2414yes—
851C4×Dic43C2414yes—
852C4×Dic43C2414yes—
853C4×Dic43C2414yes—
854C4×Dic43C2414yes—
855C23×C43—22no—
856C23×C43—22no—
857C23×C43—22no—
858C23×C43C2514yes—
859C23×C43C2511yescharacteristic
860C23×C43C2511yescharacteristic
861C23×C43C2511yescharacteristic
862C22×D43—24no—
863C22×D43—22no—
864C22×D43—24no—
865C22×D43—24no—
866C22×D43—24no—
867C22×D43—28no—
868C22×D43—41no—
869C22×D43—42no—
870C22×D43—41no—
871C22×D43—41no—
872C22×D43—42no—
873C22×D43—41no—
874C22×D43—44no—
875C22×D43—44no—
876C22×D43—416no—
877C22×D432−1+414yescomplemented
878C22×D43C2512yes—
879C22×D43C2514yes—
880C22×D43C2512yes—
881Q8×C43—42no—
882Q8×C43—42no—
883Q8×C43—42no—
884D4×C43—28no—
885D4×C43—28no—
886D4×C43—28no—
887D4×C43—42no—
888D4×C43—42no—
889D4×C43—42no—
890C2×C4×C43—24no—
891C2×C4×C43—24no—
892C2×C4×C43—22no—
893C2×C4×C43—22no—
894C2×C4×C43—41no—
895C2×C4×C43—42no—
896C2×C4×C43—41no—
897C2×C4×C43—44no—
898C2×C4×C43—41no—
899C2×C4×C43—42no—
900C2×C4×C43—41no—
901C2×C4×C43—44no—
902C2×C4×C43—42no—
903C2×C4×C43—42no—
904C2×C4×C43—44no—
905C2×C4×C43C2514yes—
906C2×C4×C43C2512yes—
907C2×C4×C43C2514yes—
908C2×C4×C43C2512yes—
909C2×C4×C43C2512yes—
910C2×C4×C43C2514yes—
911C2×C4×C43C2512yes—
912C2×C4×C43C2512yes—
913C2×C4×C43C2512yes—
914C22⋊D43—28no—
915C22⋊D43—28no—
916C22⋊D43—28no—
917C22⋊D43—28no—
918C22⋊D43—28no—
919C22⋊D43—44no—
920C22⋊D43—44no—
921C22⋊D43—44no—
922C22⋊D43—44no—
923C2×Dic43—24no—
924C2×Dic43—22no—
925C2×Dic43—24no—
926C2×Dic43—24no—
927C2×Dic43—24no—
928C2×Dic43—28no—
929C2×Dic43—42no—
930C2×Dic43—42no—
931C2×Dic43—44no—
932C2×Dic43—44no—
933C2×Dic43—42no—
934C2×Dic43—42no—
935C2×Dic43H(5,𝔽2)14yes—
936C2×Dic43C2514yes—
937C2×Dic43C2514yes—
938C2×Dic43C2514yes—
939C2×Dic43C2514yes—
940C2×Dic43C2514yes—
941C2×Dic43C2512yes—
942C2×Dic43C2512yes—
943D172—28no—
944D172—42no—
945D172—42no—
946D172—44no—
947D172—42no—
948D172—44no—
949C4×D43—28no—
950C4×D43—24no—
951C4×D43—24no—
952C4×D43—24no—
953C4×D43—24no—
954C4×D43—28no—
955C4×D43—42no—
956C4×D43—42no—
957C4×D43—42no—
958C4×D43—42no—
959C4×D43—44no—
960C4×D43—44no—
961C4×D43—44no—
962C4×D43—44no—
963C4×D43—44no—
964C4×D43—44no—
965C4×D43—44no—
966Dic86—28no—
967Dic86—28no—
968Dic86—28no—
969Dic86—44no—
970Dic86—44no—
971Dic86—42no—
972Dic86—44no—
973Dic86—42no—
974Dic86—42no—
975Dic86—44no—
976#62819—431nomaximal, Sylow
977C22×C43—28no—
978C22×C43—21no—
979C22×C43—21no—
980C22×C43—21no—
981C22×C43—21no—
982C22×C43—21no—
983C22×C43—21no—
984C22×C43—24no—
985C22×C43—24no—
986C22×C43—24no—
987C22×C43C2×H(5,𝔽2)12yes—
988C22×C43C2×2−1+412yes—
989C22×C43#58512yes—
990C22×C43C2611yescharacteristic
991C2×D43—22no—
992C2×D43—22no—
993C2×D43—22no—
994C2×D43—24no—
995C2×D43—22no—
996C2×D43—24no—
997C2×D43—22no—
998C2×D43—24no—
999C2×D43—44no—
1000C2×D43—48no—
1001C2×D43—48no—
1002C2×D43—44no—
1003C2×D43—88no—
1004C2×D43C2×2−1+414yes—
1005C4×C43—22no—
1006C4×C43—22no—
1007C4×C43—24no—
1008C4×C43—22no—
1009C4×C43—22no—
1010C4×C43—24no—
1011C4×C43—22no—
1012C4×C43—24no—
1013C4×C43—22no—
1014Dic43—24no—
1015Dic43—24no—
1016Dic43—22no—
1017Dic43—24no—
1018Dic43—24no—
1019Dic43—24no—
1020Dic43C2×H(5,𝔽2)14yes—
1021#3541—434no—
1022#3541—434no—
1023#3538—432no—
1024#3538—432no—
1025#3536—432no—
1026#3536—432no—
1027#3535—434no—
1028#3535—434no—
1029#3520—434no—
1030#3520—434no—
1031#3505—434no—
1032#3501—434no—
1033#3495—434no—
1034#3492—432no—
1035#3492—432no—
1036#3492—431no—
1037#3492D4311yescharacteristic, complemented
1038#3490—432no—
1039#3490—432no—
1040#3489—434no—
1041#3486—432no—
1042C2×#525—432no—
1043C22×C22⋊Q8—431no—
1044C2×C43—22no—
1045C2×C43—22no—
1046C2×C43—22no—
1047C2×C43—44no—
1048C2×C43C22×H(5,𝔽2)11yescharacteristic
1049C2×C43C22×2−1+411yescharacteristic
1050C2×C43C2×#58511yescharacteristic
1051D43—24no—
1052D43—42no—
1053D43—44no—
1054C2×2−1+4—432no—
1055C22×#41—432no—
1056C23×Q8—431no—
1057C24×C4—431no—
1058#563—434no—
1059#563—434no—
1060#563—434no—
1061#563—434no—
1062#562—434no—
1063#562—434no—
1064#562—434no—
1065#562—434no—
1066#556—434no—
1067#556—434no—
1068#554—434no—
1069#554—434no—
1070#554—434no—
1071#554—434no—
1072#554—434no—
1073#554—434no—
1074#554—434no—
1075#554—434no—
1076#554—434no—
1077#554—434no—
1078#554—434no—
1079#554C2×D4314yescomplemented
1080#553—434no—
1081#553—434no—
1082#553—434no—
1083#553—434no—
1084#553—434no—
1085#553C2×D4314yescomplemented
1086#552—434no—
1087#552—434no—
1088#552—434no—
1089#552—434no—
1090#552—434no—
1091#552—434no—
1092#552—434no—
1093#552—434no—
1094#552—434no—
1095#552C2×D4314yescomplemented
1096#551—434no—
1097#551—434no—
1098#551—434no—
1099#551—434no—
1100#551—434no—
1101#551—434no—
1102#551—434no—
1103#551—434no—
1104#551—434no—
1105#551—434no—
1106#551—434no—
1107#551—434no—
1108D4×Q8—434no—
1109D4×Q8—434no—
1110D4×Q8—434no—
1111D4×Q8—434no—
1112D4×Q8—434no—
1113D4×Q8—434no—
1114#548—434no—
1115#548—434no—
1116#548—434no—
1117#548—434no—
1118#548—434no—
1119#548—434no—
1120#547—434no—
1121#547—434no—
1122#547—434no—
1123#547—434no—
1124#547—434no—
1125#547—434no—
1126#547—434no—
1127#547C2×D4314yescomplemented
1128#546—434no—
1129#546—434no—
1130#546—434no—
1131#546—434no—
1132#546—434no—
1133#546—434no—
1134#546—434no—
1135#546—434no—
1136#546—434no—
1137#546—434no—
1138#544—434no—
1139#544—434no—
1140#544—432no—
1141#544—432no—
1142#544—431no—
1143#544C2×D4311yescharacteristic, complemented
1144#543—432no—
1145#543—432no—
1146#543—434no—
1147#543—434no—
1148#542—434no—
1149#542—434no—
1150#542—434no—
1151#542—434no—
1152#542—434no—
1153#542—434no—
1154#541—434no—
1155#541—434no—
1156#539—434no—
1157#539—434no—
1158#539—434no—
1159#539—434no—
1160#539—432no—
1161#539—432no—
1162#539—432no—
1163#539—432no—
1164#539—434no—
1165#539—434no—
1166#539—434no—
1167#539—432no—
1168#539—432no—
1169#539—434no—
1170#539C2×D4312yescomplemented
1171#539C2×D4312yescomplemented
1172#538—434no—
1173#538—432no—
1174#538—432no—
1175#538—432no—
1176#538—432no—
1177#538—434no—
1178#538—434no—
1179#538—434no—
1180#537—434no—
1181#537—432no—
1182#537—432no—
1183#537—434no—
1184#537—431no—
1185#537C2×D4311yescharacteristic, complemented
1186#536—432no—
1187#536—434no—
1188#536—434no—
1189#536—434no—
1190#536—434no—
1191#536—432no—
1192#534—432no—
1193#534—432no—
1194#533—434no—
1195#533—434no—
1196#529—434no—
1197#529—434no—
1198#525—432no—
1199#525—432no—
1200#525—432no—
1201#525—432no—
1202#525—434no—
1203#525—434no—
1204#525—432no—
1205#525—432no—
1206#525—432no—
1207#525—432no—
1208#525—434no—
1209#525—434no—
1210#525—434no—
1211#525—434no—
1212#525—434no—
1213#525—434no—
1214#525—432no—
1215#525C2×D4312yescomplemented
1216#525C2×D4312yescomplemented
1217#525C2×D4312yescomplemented
1218C2×#123—434no—
1219C2×C22⋊Q8—432no—
1220C2×C22⋊Q8—432no—
1221C2×C22⋊Q8—434no—
1222C2×C22⋊Q8—434no—
1223C2×C22⋊Q8—434no—
1224C2×C22⋊Q8—432no—
1225C2×C22⋊Q8—432no—
1226C2×C22⋊Q8—434no—
1227C2×C22⋊Q8—432no—
1228C2×C22⋊Q8—432no—
1229C2×C22⋊Q8—434no—
1230C2×C22⋊Q8—434no—
1231C2×#121—432no—
1232C2×#121—432no—
1233C2×#120—434no—
1234#520—434no—
1235#520—434no—
1236#520—432no—
1237#520C2×D4312yescomplemented
1238#519—432no—
1239#518—434no—
1240#518—434no—
1241C2×C4×D4—434no—
1242C2×C4×D4—434no—
1243C2×#117—432no—
1244C22×C4⋊C4—431no—
1245C22×C4⋊C4—431no—
1246C22×C4⋊C4C2×D4311yescharacteristic, complemented
1247C22×C22⋊C4—431no—
1248C22×C22⋊C4—431no—
1249C43#6281911yescharacteristic, complemented, Sylow
1250C25—431no—
12512−1+4—1728no—
1252C2×#41—432no—
1253C2×#41—434no—
1254C2×#41—434no—
1255C2×#41—432no—
1256C2×#41—434no—
1257C2×#41—434no—
1258C2×#41—432no—
1259C2×#41—432no—
1260C2×#41—434no—
1261C2×#41—432no—
1262C2×#41—434no—
1263C2×#41—1728no—
1264C2×#41C22×D4312yes—
1265C2×#41C22×D4312yes—
1266C2×#41C22×D4312yes—
1267C22×Q8—432no—
1268C22×Q8—434no—
1269C22×Q8—432no—
1270C22×Q8—432no—
1271C22×Q8—432no—
1272C22×Q8—434no—
1273C22×Q8—432no—
1274C22×Q8—434no—
1275C22×Q8—1724no—
1276C22×D4—434no—
1277C22×D4—434no—
1278C22×D4—434no—
1279C22×D4—432no—
1280C23×C4—431no—
1281C23×C4—431no—
1282C23×C4—431no—
1283C23×C4—432no—
1284C23×C4—432no—
1285C23×C4—432no—
1286C23×C4—434no—
1287C23×C4—432no—
1288C23×C4—432no—
1289C23×C4—432no—
1290C23×C4—1724no—
1291C23×C4C22×D4311yescharacteristic
1292C23×C4C22×D4311yescharacteristic
1293C23×C4C22×D4311yescharacteristic
1294C4⋊Q8—434no—
1295C4⋊Q8—434no—
1296C4⋊Q8—434no—
1297C4⋊Q8—434no—
1298C4⋊Q8—434no—
1299C4⋊Q8—434no—
1300C4⋊Q8—434no—
1301C4⋊Q8—434no—
1302C4⋊Q8—434no—
1303C4⋊Q8—434no—
1304C4⋊Q8—434no—
1305C4⋊Q8C22×D4314yescomplemented
1306#126—434no—
1307#126—434no—
1308#126—434no—
1309#126—434no—
1310#126—434no—
1311#126—434no—
1312#126—434no—
1313#126—434no—
1314#126—434no—
1315#126—434no—
1316#126—434no—
1317#126—434no—
1318#126—434no—
1319#126—434no—
1320#126—434no—
1321#126—434no—
1322#126—434no—
1323#126—434no—
1324#126C22×D4314yescomplemented
1325#126C22×D4314yescomplemented
1326#125—434no—
1327#125—434no—
1328#125—434no—
1329#125—434no—
1330#125—434no—
1331#125—434no—
1332#125—434no—
1333#125—434no—
1334#125—434no—
1335#125—434no—
1336#125—434no—
1337#125—434no—
1338#125—434no—
1339#125—434no—
1340#125—434no—
1341#125C22×D4314yescomplemented
1342#125C22×D4314yescomplemented
1343#125C22×D4314yescomplemented
1344#124—434no—
1345#124—434no—
1346#124—434no—
1347#124—434no—
1348#124—434no—
1349#124—434no—
1350#124—434no—
1351#124—434no—
1352#124—434no—
1353#124—434no—
1354#124—434no—
1355#124—434no—
1356#124—434no—
1357#124—434no—
1358#123—434no—
1359#123—434no—
1360#123—434no—
1361#123—434no—
1362#123—434no—
1363#123—434no—
1364#123—434no—
1365#123—434no—
1366#123—434no—
1367#123—434no—
1368#123—434no—
1369#123—434no—
1370#123—434no—
1371#123—434no—
1372#123—434no—
1373#123—434no—
1374#123—434no—
1375#123—434no—
1376#123—434no—
1377#123—434no—
1378#123—434no—
1379#123—434no—
1380#123—434no—
1381#123—434no—
1382#123—434no—
1383#123—434no—
1384#123—434no—
1385#123—434no—
1386#123—434no—
1387#123—434no—
1388#123—434no—
1389#123—434no—
1390#123—434no—
1391#123—434no—
1392#123—434no—
1393#123C22×D4314yes—
1394#123C22×D4314yes—
1395#123C22×D4314yes—
1396#123C22×D4314yescomplemented
1397#123C22×D4314yescomplemented
1398C22⋊Q8—432no—
1399C22⋊Q8—432no—
1400C22⋊Q8—434no—
1401C22⋊Q8—434no—
1402C22⋊Q8—434no—
1403C22⋊Q8—434no—
1404C22⋊Q8—432no—
1405C22⋊Q8—432no—
1406C22⋊Q8—434no—
1407C22⋊Q8—432no—
1408C22⋊Q8—432no—
1409C22⋊Q8—432no—
1410C22⋊Q8—432no—
1411C22⋊Q8—434no—
1412C22⋊Q8—434no—
1413C22⋊Q8—434no—
1414C22⋊Q8—434no—
1415C22⋊Q8—434no—
1416C22⋊Q8—434no—
1417C22⋊Q8—434no—
1418C22⋊Q8—434no—
1419C22⋊Q8—434no—
1420C22⋊Q8—434no—
1421C22⋊Q8—434no—
1422C22⋊Q8—434no—
1423C22⋊Q8—434no—
1424C22⋊Q8—434no—
1425C22⋊Q8—434no—
1426C22⋊Q8—434no—
1427C22⋊Q8—434no—
1428C22⋊Q8—434no—
1429C22⋊Q8—434no—
1430C22⋊Q8—434no—
1431C22⋊Q8—434no—
1432C22⋊Q8—432no—
1433C22⋊Q8—432no—
1434C22⋊Q8—434no—
1435C22⋊Q8—434no—
1436C22⋊Q8—434no—
1437C22⋊Q8—434no—
1438C22⋊Q8—434no—
1439C22⋊Q8—434no—
1440C22⋊Q8—434no—
1441C22⋊Q8—434no—
1442C22⋊Q8—434no—
1443C22⋊Q8—434no—
1444C22⋊Q8—434no—
1445C22⋊Q8—434no—
1446C22⋊Q8—434no—
1447C22⋊Q8—434no—
1448C22⋊Q8—434no—
1449C22⋊Q8—434no—
1450C22⋊Q8—434no—
1451C22⋊Q8—434no—
1452C22⋊Q8—434no—
1453C22⋊Q8—434no—
1454C22⋊Q8—434no—
1455C22⋊Q8—434no—
1456C22⋊Q8—434no—
1457C22⋊Q8—434no—
1458C22⋊Q8—434no—
1459C22⋊Q8—434no—
1460C22⋊Q8—434no—
1461C22⋊Q8—434no—
1462C22⋊Q8—434no—
1463C22⋊Q8—434no—
1464C22⋊Q8—434no—
1465C22⋊Q8—434no—
1466C22⋊Q8—434no—
1467C22⋊Q8C22×D4312yes—
1468C22⋊Q8C22×D4312yes—
1469C22⋊Q8C22×D4312yes—
1470C22⋊Q8C22×D4312yes—
1471C22⋊Q8C22×D4312yes—
1472C22⋊Q8C22×D4312yes—
1473C22⋊Q8C22×D4314yescomplemented
1474C22⋊Q8C22×D4314yescomplemented
1475C22⋊Q8C22×D4314yescomplemented
1476#121—432no—
1477#121—434no—
1478#121—434no—
1479#121—432no—
1480#121—434no—
1481#121—434no—
1482#121—434no—
1483#121—434no—
1484#121—434no—
1485#121—434no—
1486#121—434no—
1487#121—434no—
1488#121—432no—
1489#121—432no—
1490#121—432no—
1491#121—432no—
1492#121—432no—
1493#121—432no—
1494#121—434no—
1495#121—434no—
1496#121—432no—
1497#121—432no—
1498#121—434no—
1499#121—434no—
1500#121—434no—
1501#121—434no—
1502#121—434no—
1503#121—434no—
1504#121—434no—
1505#121—434no—
1506#121—434no—
1507#121C22×D4312yes—
1508#121C22×D4312yes—
1509#121C22×D4312yes—
1510#121C22×D4312yes—
1511#121C22×D4312yes—
1512#121C22×D4312yes—
1513#121C22×D4314yescomplemented
1514#120—434no—
1515#120—434no—
1516#120—434no—
1517#120—434no—
1518#120—434no—
1519#120—434no—
1520#120—434no—
1521#120—434no—
1522#120—434no—
1523#120—434no—
1524#120—434no—
1525#120C22×D4314yes—
1526C4×Q8—434no—
1527C4×Q8—434no—
1528C4×Q8—434no—
1529C4×Q8—434no—
1530C4×Q8—434no—
1531C4×Q8—434no—
1532C4×Q8—434no—
1533C4×Q8—434no—
1534C4×Q8—434no—
1535C4×Q8C22×D4314yescomplemented
1536C4×D4—434no—
1537C4×D4—434no—
1538C4×D4—434no—
1539C4×D4—434no—
1540C4×D4—434no—
1541C4×D4—434no—
1542C4×D4—434no—
1543C4×D4—434no—
1544C4×D4—434no—
1545C4×D4—434no—
1546C4×D4—434no—
1547C4×D4—434no—
1548C4×D4—434no—
1549C4×D4—434no—
1550C4×D4—434no—
1551C4×D4—434no—
1552C4×D4—434no—
1553C4×D4—434no—
1554C4×D4—434no—
1555C4×D4—434no—
1556C4×D4—434no—
1557C4×D4—434no—
1558C4×D4—434no—
1559C4×D4—434no—
1560C4×D4—434no—
1561C4×D4—434no—
1562C4×D4—434no—
1563C4×D4—434no—
1564C4×D4—434no—
1565C4×D4—434no—
1566C4×D4—434no—
1567C4×D4—434no—
1568C4×D4—434no—
1569C4×D4—434no—
1570C4×D4—434no—
1571C4×D4—434no—
1572C4×D4—434no—
1573C4×D4—434no—
1574C4×D4—434no—
1575C4×D4C22×D4314yes—
1576C4×D4C22×D4314yes—
1577C4×D4C22×D4314yes—
1578C4×D4C22×D4314yes—
1579C4×D4C22×D4314yes—
1580C4×D4C22×D4314yes—
1581C4×D4C22×D4314yescomplemented
1582#117—432no—
1583#117—432no—
1584#117—432no—
1585#117—432no—
1586#117—432no—
1587#117—434no—
1588#117—434no—
1589#117—434no—
1590#117—434no—
1591#117—434no—
1592#117—434no—
1593#117—434no—
1594#117—434no—
1595#117—434no—
1596#117—434no—
1597#117—434no—
1598#117—434no—
1599#117—434no—
1600#117C22×D4312yes—
1601#117C22×D4312yes—
1602#117C22×D4312yes—
1603#117C22×D4314yescomplemented
1604C2×C4⋊C4—432no—
1605C2×C4⋊C4—432no—
1606C2×C4⋊C4—432no—
1607C2×C4⋊C4—432no—
1608C2×C4⋊C4—432no—
1609C2×C4⋊C4—432no—
1610C2×C4⋊C4—434no—
1611C2×C4⋊C4—434no—
1612C2×C4⋊C4—434no—
1613C2×C4⋊C4—434no—
1614C2×C4⋊C4—434no—
1615C2×C4⋊C4—432no—
1616C2×C4⋊C4—432no—
1617C2×C4⋊C4—434no—
1618C2×C4⋊C4—434no—
1619C2×C4⋊C4—434no—
1620C2×C4⋊C4—434no—
1621C2×C4⋊C4—434no—
1622C2×C4⋊C4C22×D4311yescharacteristic
1623C2×C4⋊C4C22×D4311yescharacteristic
1624C2×C4⋊C4C22×D4311yescharacteristic
1625C2×C4⋊C4C22×D4311yescharacteristic
1626C2×C4⋊C4C22×D4314yes—
1627C2×C4⋊C4C22×D4314yes—
1628C2×C4⋊C4C22×D4314yescomplemented
1629C2×C22⋊C4—432no—
1630C2×C22⋊C4—432no—
1631C2×C22⋊C4—432no—
1632C2×C22⋊C4—432no—
1633C2×C22⋊C4—432no—
1634C2×C22⋊C4—432no—
1635C2×C22⋊C4—434no—
1636C2×C22⋊C4—434no—
1637C2×C22⋊C4—432no—
1638C2×C22⋊C4—432no—
1639C2×C22⋊C4—434no—
1640C2×C22⋊C4—434no—
1641C2×C22⋊C4—434no—
1642C2×C22⋊C4—434no—
1643C2×C22⋊C4—434no—
1644C2×C22⋊C4—434no—
1645C2×C22⋊C4—434no—
1646C2×C22⋊C4—434no—
1647C2×C22⋊C4—434no—
1648C2×C42—434no—
1649C24—431no—
1650C24—432no—
1651C24—432no—
1652C24—434no—
1653C24—431no—
1654C24—864no—
1655C24—1722no—
1656C24—1722no—
1657C24C23×D4311yescharacteristic
1658#41—44no—
1659#41—44no—
1660#41—44no—
1661#41—8616no—
1662#41—1724no—
1663#41—1724no—
1664#41—1724no—
1665#41—1728no—
1666#41—1728no—
1667#41—1724no—
1668#41—1724no—
1669#41—1728no—
1670#41—1728no—
1671#41—1728no—
1672C2×Q8—434no—
1673C2×Q8—434no—
1674C2×Q8—434no—
1675C2×Q8—432no—
1676C2×Q8—434no—
1677C2×Q8—434no—
1678C2×Q8—434no—
1679C2×Q8—432no—
1680C2×Q8—434no—
1681C2×Q8—432no—
1682C2×Q8—868no—
1683C2×Q8—1724no—
1684C2×Q8—1724no—
1685C2×Q8—1728no—
1686C2×Q8—1724no—
1687C2×Q8—1728no—
1688C2×Q8—1724no—
1689C2×Q8—1728no—
1690C2×Q8C23×D4312yes—
1691C2×Q8C23×D4312yes—
1692C2×Q8C23×D4312yes—
1693C2×D4—434no—
1694C2×D4—434no—
1695C2×D4—434no—
1696C2×D4—434no—
1697C2×D4—434no—
1698C2×D4—434no—
1699C2×D4—434no—
1700C2×D4—434no—
1701C2×D4—434no—
1702C2×D4—434no—
1703C2×D4—432no—
1704C2×D4—434no—
1705C2×D4—432no—
1706C2×D4—434no—
1707C2×D4—432no—
1708C2×D4—8616no—
1709C2×D4—1724no—
1710C2×D4—1728no—
1711C2×D4—1728no—
1712C2×D4C23×D4314yes—
1713C2×D4C23×D4314yes—
1714C2×D4C23×D4314yes—
1715C2×D4C23×D4312yes—
1716C2×D4C23×D4312yes—
1717C2×D4C23×D4312yes—
1718C22×C4—42no—
1719C22×C4—42no—
1720C22×C4—42no—
1721C22×C4—431no—
1722C22×C4—432no—
1723C22×C4—432no—
1724C22×C4—432no—
1725C22×C4—432no—
1726C22×C4—431no—
1727C22×C4—434no—
1728C22×C4—432no—
1729C22×C4—432no—
1730C22×C4—432no—
1731C22×C4—432no—
1732C22×C4—434no—
1733C22×C4—434no—
1734C22×C4—432no—
1735C22×C4—434no—
1736C22×C4—432no—
1737C22×C4—434no—
1738C22×C4—432no—
1739C22×C4—432no—
1740C22×C4—434no—
1741C22×C4—432no—
1742C22×C4—434no—
1743C22×C4—432no—
1744C22×C4—434no—
1745C22×C4—434no—
1746C22×C4—434no—
1747C22×C4—434no—
1748C22×C4—434no—
1749C22×C4—432no—
1750C22×C4—432no—
1751C22×C4—868no—
1752C22×C4—864no—
1753C22×C4—1724no—
1754C22×C4—1724no—
1755C22×C4—1724no—
1756C22×C4—1724no—
1757C22×C4—1724no—
1758C22×C4—1728no—
1759C22×C4—1722no—
1760C22×C4—1722no—
1761C22×C4C23×D4311yescharacteristic
1762C22×C4C23×D4311yescharacteristic
1763C22×C4C23×D4312yes—
1764C22×C4C23×D4312yes—
1765C22×C4C23×D4312yes—
1766C22×C4C23×D4312yes—
1767C22×C4C23×D4311yescharacteristic
1768C22×C4C23×D4312yes—
1769C22×C4C23×D4311yescharacteristic
1770C22×C4C23×D4314yes—
1771C22×C4C23×D4314yes—
1772C22×C4C23×D4311yescharacteristic
1773C22×C4C23×D4312yes—
1774C22×C4C23×D4311yescharacteristic
1775C22×C4C23×D4314yes—
1776C4⋊C4—434no—
1777C4⋊C4—434no—
1778C4⋊C4—434no—
1779C4⋊C4—434no—
1780C4⋊C4—434no—
1781C4⋊C4—434no—
1782C4⋊C4—434no—
1783C4⋊C4—434no—
1784C4⋊C4—434no—
1785C4⋊C4—434no—
1786C4⋊C4—434no—
1787C4⋊C4—432no—
1788C4⋊C4—434no—
1789C4⋊C4—432no—
1790C4⋊C4—432no—
1791C4⋊C4—434no—
1792C4⋊C4—434no—
1793C4⋊C4—434no—
1794C4⋊C4—434no—
1795C4⋊C4—434no—
1796C4⋊C4—434no—
1797C4⋊C4—434no—
1798C4⋊C4—434no—
1799C4⋊C4—434no—
1800C4⋊C4—434no—
1801C4⋊C4—434no—
1802C4⋊C4—434no—
1803C4⋊C4—432no—
1804C4⋊C4—434no—
1805C4⋊C4—434no—
1806C4⋊C4—434no—
1807C4⋊C4—434no—
1808C4⋊C4—434no—
1809C4⋊C4—434no—
1810C4⋊C4—434no—
1811C4⋊C4—432no—
1812C4⋊C4—434no—
1813C4⋊C4—432no—
1814C4⋊C4C23×D4314yes—
1815C4⋊C4C23×D4314yes—
1816C4⋊C4C23×D4312yes—
1817C4⋊C4C23×D4312yes—
1818C4⋊C4C23×D4314yes—
1819C4⋊C4C23×D4314yes—
1820C4⋊C4C23×D4314yes—
1821C4⋊C4C23×D4314yes—
1822C4⋊C4C23×D4314yes—
1823C4⋊C4C23×D4312yes—
1824C4⋊C4C23×D4314yes—
1825C4⋊C4C23×D4314yes—
1826C4⋊C4C23×D4314yes—
1827C4⋊C4C23×D4312yes—
1828C4⋊C4C23×D4312yes—
1829C4⋊C4C23×D4312yes—
1830C22⋊C4—434no—
1831C22⋊C4—434no—
1832C22⋊C4—434no—
1833C22⋊C4—434no—
1834C22⋊C4—434no—
1835C22⋊C4—434no—
1836C22⋊C4—434no—
1837C22⋊C4—434no—
1838C22⋊C4—434no—
1839C22⋊C4—434no—
1840C22⋊C4—434no—
1841C22⋊C4—434no—
1842C22⋊C4—434no—
1843C22⋊C4—434no—
1844C22⋊C4—434no—
1845C22⋊C4—434no—
1846C22⋊C4—434no—
1847C22⋊C4—434no—
1848C22⋊C4—434no—
1849C22⋊C4—434no—
1850C22⋊C4—434no—
1851C22⋊C4—434no—
1852C22⋊C4—434no—
1853C22⋊C4—434no—
1854C22⋊C4—434no—
1855C22⋊C4—434no—
1856C22⋊C4—434no—
1857C22⋊C4—434no—
1858C22⋊C4—434no—
1859C22⋊C4—434no—
1860C22⋊C4—434no—
1861C22⋊C4—434no—
1862C22⋊C4—434no—
1863C22⋊C4—434no—
1864C22⋊C4—434no—
1865C22⋊C4C23×D4314yes—
1866C22⋊C4C23×D4314yes—
1867C22⋊C4C23×D4314yes—
1868C22⋊C4C23×D4314yes—
1869C22⋊C4C23×D4314yes—
1870C22⋊C4C23×D4314yes—
1871C22⋊C4C23×D4314yes—
1872C22⋊C4C23×D4314yes—
1873C22⋊C4C23×D4314yes—
1874C42—434no—
1875C42—434no—
1876C42—434no—
1877C42—434no—
1878C42—434no—
1879C42—434no—
1880C42—434no—
1881C42—434no—
1882C42—434no—
1883C42C23×D4314yes—
1884C42C23×D4314yes—
1885C42C23×D4314yes—
1886C23—22no—
1887C23—22no—
1888C23—22no—
1889C23—432no—
1890C23—434no—
1891C23—432no—
1892C23—434no—
1893C23—868no—
1894C23—864no—
1895C23—864no—
1896C23—864no—
1897C23—862no—
1898C23—864no—
1899C23—1724no—
1900C23—1724no—
1901C23—1721no—
1902C23—1722no—
1903C23—1721no—
1904C23—1721no—
1905C23—1722no—
1906C23—1721no—
1907C23—17216no—
1908C23C24×D4314yes—
1909C23C24×D4311yescharacteristic
1910C23C24×D4311yescharacteristic
1911C23C24×D4311yescharacteristic
1912Q8—42no—
1913Q8—42no—
1914Q8—42no—
1915Q8—868no—
1916Q8—868no—
1917Q8—868no—
1918Q8—1724no—
1919Q8—1724no—
1920Q8—1722no—
1921Q8—1724no—
1922Q8—1722no—
1923Q8—1722no—
1924Q8—1724no—
1925D4—28no—
1926D4—28no—
1927D4—28no—
1928D4—42no—
1929D4—42no—
1930D4—42no—
1931D4—868no—
1932D4—868no—
1933D4—868no—
1934D4—868no—
1935D4—868no—
1936D4—868no—
1937D4—1722no—
1938D4—1724no—
1939D4—1724no—
1940D4—1722no—
1941D4—1722no—
1942D4—1724no—
1943D4—1724no—
1944D4—1724no—
1945D4—1724no—
1946C2×C4—24no—
1947C2×C4—24no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—41no—
1951C2×C4—42no—
1952C2×C4—41no—
1953C2×C4—41no—
1954C2×C4—42no—
1955C2×C4—41no—
1956C2×C4—42no—
1957C2×C4—42no—
1958C2×C4—44no—
1959C2×C4—44no—
1960C2×C4—44no—
1961C2×C4—434no—
1962C2×C4—432no—
1963C2×C4—434no—
1964C2×C4—434no—
1965C2×C4—434no—
1966C2×C4—434no—
1967C2×C4—434no—
1968C2×C4—432no—
1969C2×C4—864no—
1970C2×C4—864no—
1971C2×C4—864no—
1972C2×C4—864no—
1973C2×C4—868no—
1974C2×C4—868no—
1975C2×C4—864no—
1976C2×C4—864no—
1977C2×C4—868no—
1978C2×C4—862no—
1979C2×C4—864no—
1980C2×C4—864no—
1981C2×C4—1722no—
1982C2×C4—1722no—
1983C2×C4—1722no—
1984C2×C4—1722no—
1985C2×C4—1724no—
1986C2×C4—1724no—
1987C2×C4—1724no—
1988C2×C4—1724no—
1989C2×C4—1724no—
1990C2×C4—1724no—
1991C2×C4—1724no—
1992C2×C4—1722no—
1993C2×C4—1722no—
1994C2×C4—1722no—
1995C2×C4—1722no—
1996C2×C4—1724no—
1997C2×C4—1724no—
1998C2×C4C24×D4314yes—
1999C2×C4C24×D4314yes—
2000C2×C4C24×D4312yes—
2001C2×C4C24×D4312yes—
2002C2×C4C24×D4312yes—
2003C2×C4C24×D4314yes—
2004C2×C4C24×D4312yes—
2005C2×C4C24×D4312yes—
2006C2×C4C24×D4312yes—
2007C22—28no—
2008C22—21no—
2009C22—21no—
2010C22—21no—
2011C22—21no—
2012C22—21no—
2013C22—21no—
2014C22—24no—
2015C22—24no—
2016C22—24no—
2017C22—434no—
2018C22—862no—
2019C22—862no—
2020C22—862no—
2021C22—864no—
2022C22—864no—
2023C22—862no—
2024C22—864no—
2025C22—862no—
2026C22—3448no—
2027C22—1724no—
2028C22—1728no—
2029C22—1728no—
2030C22—1724no—
2031C22H(5,𝔽2)×D4312yes—
2032C222−1+4×D4312yes—
2033C22#1458373512yes—
2034C22C25×D4311yescharacteristic
2035C4—22no—
2036C4—22no—
2037C4—22no—
2038C4—22no—
2039C4—24no—
2040C4—24no—
2041C4—22no—
2042C4—22no—
2043C4—24no—
2044C4—434no—
2045C4—862no—
2046C4—864no—
2047C4—864no—
2048C4—864no—
2049C4—864no—
2050C4—864no—
2051C2—22no—
2052C2—22no—
2053C2—22no—
2054C2—44no—
2055C2—864no—
2056C2—1724no—
2057C2—1722no—
2058C2C2×H(5,𝔽2)×D4311yescharacteristic
2059C2C2×2−1+4×D4311yescharacteristic
2060C2C2×#1458373511yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3492C2
hypercenter#3492D43
hypocenterC43#62819
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3492

Complements

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

NH ≅ G/Ntype
1. #19148881C2semidirect
2. #19148873C2semidirect
3. #19148842C2semidirect
4. #19148837C2semidirect
5. #19148819C2semidirect
6. #19148812C2semidirect
7. #19148807C2semidirect
8. #19148796C2semidirect
9. #19148636C2semidirect
10. #19148634C2semidirect
11. #19148428C2semidirect
12. #19148394C2semidirect
13. #19148338C2semidirect
14. #19148304C2semidirect
15. #19148296C2semidirect
16. #19148296C2semidirect
17. #19148278C2semidirect
18. #19148278C2semidirect
19. #19148269C2semidirect
20. #19148242C2semidirect
21. #525×D43C2semidirect
22. C22×#13063303C2semidirect
23. C43×#3492C2semidirect
24. C2×#13063372C22semidirect
25. C2×#41×D43C22semidirect
26. C23×Dic86C22semidirect
28. #14583653C22semidirect
29. #14583651C22semidirect
30. #14583650C22semidirect
31. #14583648C22semidirect
32. #14583647C22semidirect
33. #14583646C22semidirect
34. #14583645C22semidirect
35. #14583644C22semidirect
36. #14583621C22semidirect
37. #14583616C22semidirect
38. #14583609C22semidirect
39. #14583608C22semidirect
40. #14583608C22semidirect
41. #14583605C22semidirect
42. #14583605C22semidirect
43. #14583604C22semidirect
44. #14583604C22semidirect
45. #14583603C22semidirect
46. #14583603C22semidirect
47. #14583603C22semidirect
48. #14583603C22semidirect
49. #14583598C22semidirect
50. #14583598C22semidirect
51. #14583597C22semidirect
52. #14583592C22semidirect
53. #14583592C22semidirect
54. #14583586C22semidirect
55. #14583586C22semidirect
56. #14583585C22semidirect
57. #14583584C22semidirect
58. #14583582C22semidirect
59. #14583582C22semidirect
60. #14583582C22semidirect
61. #14583581C22semidirect
62. #14583581C22semidirect
63. #14583578C22semidirect
64. #14583578C22semidirect
65. #14583578C22semidirect
66. #14583577C22semidirect
67. #14583576C22semidirect
68. #14583576C22semidirect
69. #14583574C22semidirect
70. #14583573C22semidirect
71. #14583573C22semidirect
72. #14583573C22semidirect
73. #14583572C22semidirect
74. #14583572C22semidirect
75. D4×Dic86C22semidirect
76. D4×Dic86C22semidirect
77. #14583564C22semidirect
78. #14583562C22semidirect
79. #14583562C22semidirect
80. #14583562C22semidirect
81. #14583559C22semidirect
82. #14583558C22semidirect
83. #14583558C22semidirect
84. #14583558C22semidirect
85. #14583555C22semidirect
86. #14583555C22semidirect
87. #14583550C22semidirect
88. #14583550C22semidirect
89. #14583548C22semidirect
90. #14583548C22semidirect
91. #14583547C22semidirect
92. #14583547C22semidirect
93. #14583547C22semidirect
94. #14583544C22semidirect
95. #14583544C22semidirect
96. #14583541C22semidirect
97. #14583541C22semidirect
98. #14583541C22semidirect
99. #14583538C22semidirect
100. #14583538C22semidirect
101. #14583538C22semidirect
102. #14583537C22semidirect
103. #14583537C22semidirect
104. #14583530C22semidirect
105. #14583529C22semidirect
106. #14583528C22semidirect
107. #14583528C22semidirect
108. #14583526C22semidirect
111. #14583524C22semidirect
112. #14583524C22semidirect
113. #14583521C22semidirect
114. #14583520C22semidirect
115. #14583519C22semidirect
116. #14583519C22semidirect
117. #14583517C22semidirect
118. #14583515C22semidirect
119. #14583508C22semidirect
120. #14583508C22semidirect
121. #14583498C22semidirect
122. #14583498C22semidirect
123. #14583497C22semidirect
124. #14583497C22semidirect
125. #14583496C22semidirect
126. #14583496C22semidirect
127. #14583496C22semidirect
128. #14583494C22semidirect
129. #14583494C22semidirect
130. #14583492C22semidirect
131. #14583491C22semidirect
132. #14583491C22semidirect
133. #14583491C22semidirect
134. #14583490C22semidirect
135. #14583489C22semidirect
136. #14583489C22semidirect
137. #14583488C22semidirect
138. #14583486C22semidirect
139. #14583486C22semidirect
140. #14583482C22semidirect
141. #14583482C22semidirect
142. #14583481C22semidirect
143. #14583480C22semidirect
144. #14583479C22semidirect
145. #14583476C22semidirect
146. #14583476C22semidirect
147. #14583476C22semidirect
148. #14583475C22semidirect
149. #14583474C22semidirect
150. #14583471C22semidirect
151. #14583471C22semidirect
152. #14583471C22semidirect
153. #14583470C22semidirect
156. #14583455C22semidirect
157. #14583453C22semidirect
158. #14583432C22semidirect
159. #14583427C22semidirect
161. #14583412C22semidirect
163. #14583410C22semidirect
164. #14583410C22semidirect
165. #14583410C22semidirect
167. #14583409C22semidirect
169. #14583408C22semidirect
170. #14583408C22semidirect
172. #14583407C22semidirect
174. #14583405C22semidirect
175. #14583405C22semidirect
176. #14583405C22semidirect
177. #123×D43C22semidirect
179. C2×#13063303C22semidirect
180. C2×#13063303C22semidirect
181. C2×#13063303C22semidirect
182. C2×#13063303C22semidirect
183. C2×#13063303C22semidirect
184. C2×#13063303C22semidirect
185. C2×#13063303C22semidirect
186. C2×#13063303C22semidirect
188. C22⋊Q8×D43C22semidirect
189. C22⋊Q8×D43C22semidirect
191. #121×D43C22semidirect
193. #14583380C22semidirect
194. #14583378C22semidirect
195. #14583378C22semidirect
196. #14583376C22semidirect
200. C4×D4×D43C22semidirect
201. #117×D43C22semidirect
202. C22×Dic43⋊C4C22semidirect
203. C22×Dic43⋊C4C22semidirect
206. C43×#554C22semidirect
207. C43×#553C22semidirect
208. C43×#552C22semidirect
209. C43×#547C22semidirect
210. C43×#544C22semidirect
211. C43×#539C22semidirect
212. C43×#539C22semidirect
213. C43×#537C22semidirect
214. C43×#525C22semidirect
215. C43×#525C22semidirect
216. C43×#525C22semidirect
217. C43×#520C22semidirect
218. C22×C4⋊C4×C43C22semidirect
226. C2×#10621898C23semidirect
231. C2×#10621900C23semidirect
239. C22×Dic86C23semidirect
241. C2×Q8×D43C23semidirect
257. #13063325C23semidirect
258. #13063324C23semidirect
259. #13063324C23semidirect
260. #13063324C23semidirect
261. #13063324C23semidirect
262. #13063324C23semidirect
263. #13063324C23semidirect
264. #13063324C23semidirect
265. #13063323C23semidirect
266. #13063323C23semidirect
267. #13063323C23semidirect
274. #13063320C23semidirect
275. #13063320C23semidirect
276. #13063320C23semidirect
277. #13063320C23semidirect
280. #13063319C23semidirect
281. #13063319C23semidirect
282. #13063318C23semidirect
283. #13063318C23semidirect
284. #13063318C23semidirect
285. #13063318C23semidirect
286. #13063317C23semidirect
287. #13063317C23semidirect
288. #13063316C23semidirect
289. #13063316C23semidirect
290. #13063316C23semidirect
291. #13063315C23semidirect
292. #13063315C23semidirect
293. #13063315C23semidirect
294. #13063315C23semidirect
295. #13063315C23semidirect
296. #13063315C23semidirect
297. #13063315C23semidirect
298. #13063315C23semidirect
299. #13063315C23semidirect
300. #13063315C23semidirect
305. #13063313C23semidirect
306. #13063312C23semidirect
311. #13063311C23semidirect
312. #13063311C23semidirect
313. #13063311C23semidirect
314. #13063311C23semidirect
323. #13063310C23semidirect
324. #13063310C23semidirect
325. #13063310C23semidirect
326. #13063310C23semidirect
337. #13063308C23semidirect
338. #13063308C23semidirect
343. #13063307C23semidirect
344. #13063307C23semidirect
348. #13063306C23semidirect
349. #13063306C23semidirect
354. #13063305C23semidirect
355. #13063305C23semidirect
356. #13063305C23semidirect
363. #13063304C23semidirect
364. #13063304C23semidirect
365. #13063304C23semidirect
366. #13063304C23semidirect
389. #13063303C23semidirect
390. #13063303C23semidirect
391. #13063303C23semidirect
392. #13063303C23semidirect
393. #13063303C23semidirect
394. #13063303C23semidirect
395. #13063303C23semidirect
396. #13063303C23semidirect
397. #13063303C23semidirect
398. #13063303C23semidirect
405. #13063302C23semidirect
406. #13063302C23semidirect
407. #13063302C23semidirect
408. #13063302C23semidirect
409. #13063302C23semidirect
410. #13063302C23semidirect
411. #13063302C23semidirect
412. #13063302C23semidirect
417. #13063301C23semidirect
418. #13063301C23semidirect
423. #13063300C23semidirect
436. #13063298C23semidirect
437. #13063298C23semidirect
446. #13063297C23semidirect
447. #13063297C23semidirect
461. C4×Dic86C23semidirect
462. C4×Dic86C23semidirect
463. C4×Dic86C23semidirect
464. C4×Dic86C23semidirect
465. #13063290C23semidirect
466. #13063290C23semidirect
467. #13063290C23semidirect
468. #13063290C23semidirect
469. #13063290C23semidirect
484. #13063287C23semidirect
495. C4×C22⋊D43C23semidirect
496. C4×C22⋊D43C23semidirect
507. (C22⋊D43)⋊C4C23semidirect
508. (C22⋊D43)⋊C4C23semidirect
516. #13063283C23semidirect
520. #13063282C23semidirect
521. #13063282C23semidirect
525. #13063281C23semidirect
526. #13063281C23semidirect
536. C2×Dic43⋊C4C23semidirect
537. C2×Dic43⋊C4C23semidirect
542. C4⋊C4×D43C23semidirect
543. C4⋊C4×D43C23semidirect
544. C4⋊C4×D43C23semidirect
571. C4⋊Q8×C43C23semidirect
572. #126×C43C23semidirect
573. #126×C43C23semidirect
574. #125×C43C23semidirect
575. #125×C43C23semidirect
576. #125×C43C23semidirect
580. #123×C43C23semidirect
581. #123×C43C23semidirect
588. C22⋊Q8×C43C23semidirect
589. C22⋊Q8×C43C23semidirect
590. C22⋊Q8×C43C23semidirect
597. #121×C43C23semidirect
599. C4×Q8×C43C23semidirect
606. C4×D4×C43C23semidirect
610. #117×C43C23semidirect
617. C2×C4⋊C4×C43C23semidirect
877. C22×D432−1+4semidirect
1037. #3492D43semidirect
1079. #554C2×D43semidirect
1085. #553C2×D43semidirect
1095. #552C2×D43semidirect
1127. #547C2×D43semidirect
1143. #544C2×D43semidirect
1170. #539C2×D43semidirect
1171. #539C2×D43semidirect
1185. #537C2×D43semidirect
1215. #525C2×D43semidirect
1216. #525C2×D43semidirect
1217. #525C2×D43semidirect
1237. #520C2×D43semidirect
1246. C22×C4⋊C4C2×D43semidirect
1249. C43#62819semidirect
1305. C4⋊Q8C22×D43semidirect
1324. #126C22×D43semidirect
1325. #126C22×D43semidirect
1341. #125C22×D43semidirect
1342. #125C22×D43semidirect
1343. #125C22×D43semidirect
1396. #123C22×D43semidirect
1397. #123C22×D43semidirect
1473. C22⋊Q8C22×D43semidirect
1474. C22⋊Q8C22×D43semidirect
1475. C22⋊Q8C22×D43semidirect
1513. #121C22×D43semidirect
1535. C4×Q8C22×D43semidirect
1581. C4×D4C22×D43semidirect
1603. #117C22×D43semidirect
1628. C2×C4⋊C4C22×D43semidirect

Maximal subgroups

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

subgroupindex
#191488812
#191488732
#191488422
#191488372
#191488192
#191488122
#191488072
#191487962
#191486362
#191486342
#191484282
#191483942
#191483382
#191483042
#191482962
#191482782
#191482692
#191482422
#525×D432
C22×#130633032
C43×#34922
#6281943