Finite Group Databasebeta

← #26005308

Subgroups — #26005308

Order 11008.

7330 conjugacy classes of subgroups.

The subgroup lattice has 2114 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149162C212yesmaximal, complemented
2#19149155C212yesmaximal, complemented
3#19149153C214yesmaximal, complemented
4#19149116C212yesmaximal, complemented
5#19149107C212yesmaximal, complemented
6#19149105C214yesmaximal, complemented
7#19148951C214yesmaximal, complemented
8#19148942C214yesmaximal, complemented
9#19148548C214yesmaximal, complemented
10#19148546C214yesmaximal, complemented
11#19148545C214yesmaximal, complemented
12#19148543C214yesmaximal, complemented
13#19148483C214yesmaximal, complemented
14#19148381C214yesmaximal, complemented
15#19148284C211yesmaximal, characteristic, complemented
16#19148282C212yesmaximal, complemented
17#19148278C212yesmaximal, complemented
18#19148278C212yesmaximal, complemented
19#19148242C212yesmaximal, complemented
20#19148224C212yesmaximal, complemented
21#19147887C212yesmaximal, complemented
22C22×#13063311C211yesmaximal, characteristic, complemented
23C43×#3490C211yesmaximal, characteristic, complemented
24C2×#13063372C2212yescomplemented
25C2×#13063370C2212yescomplemented
26C23×Dic86C2211yescharacteristic, complemented
27C23×C22⋊D43C2211yescharacteristic
28#14583651C2214yescomplemented
29#14583650C2214yescomplemented
30#14583646C2214yescomplemented
31#14583646C2214yescomplemented
32#14583645C2214yescomplemented
33#14583644C2214yescomplemented
34#14583642C2214yescomplemented
35#14583641C2214yescomplemented
36#14583633C2214yescomplemented
37#14583633C2214yescomplemented
38#14583632C2214yescomplemented
39#14583631C2214yescomplemented
40#14583620C2214yescomplemented
41#14583617C2214yescomplemented
42#14583616C2214yescomplemented
43#14583616C2214yescomplemented
44#14583614C2214yescomplemented
45#14583613C2214yescomplemented
46#14583612C2214yescomplemented
47#14583611C2214yescomplemented
48#14583580C2214yescomplemented
49#14583580C2214yescomplemented
50#14583578C2214yescomplemented
51#14583578C2214yescomplemented
52#14583578C2214yescomplemented
53#14583576C2214yescomplemented
54#14583576C2214yescomplemented
55#14583575C2214yescomplemented
56#14583575C2214yescomplemented
57#14583575C2214yescomplemented
58#14583575C2214yescomplemented
59#14583575C2214yescomplemented
60#14583574C2214yescomplemented
61#14583573C2214yescomplemented
62#14583573C2214yescomplemented
63#14583572C2214yescomplemented
64#14583572C2214yescomplemented
65#14583572C2214yescomplemented
66D4×Dic86C2214yescomplemented
67D4×Dic86C2214yescomplemented
68#14583562C2214yescomplemented
69#14583562C2214yescomplemented
70#14583559C2214yescomplemented
71#14583558C2214yescomplemented
72#14583558C2214yescomplemented
73#14583558C2214yescomplemented
74#14583557C2214yescomplemented
75#14583555C2214yescomplemented
76#14583555C2214yescomplemented
77#14583555C2214yescomplemented
78#14583544C2214yescomplemented
79#14583544C2214yescomplemented
80#14583543C2214yescomplemented
81#14583543C2214yescomplemented
82#14583541C2214yescomplemented
83#14583541C2214yescomplemented
84#14583541C2214yescomplemented
85#14583539C2214yescomplemented
86#14583539C2214yescomplemented
87#14583539C2214yescomplemented
88#14583539C2214yescomplemented
89#14583539C2214yescomplemented
90#14583538C2214yescomplemented
91#14583538C2214yescomplemented
92#14583538C2214yescomplemented
93#14583537C2214yescomplemented
94#14583537C2214yescomplemented
95#14583536C2214yescomplemented
96#14583536C2214yescomplemented
97#14583536C2214yescomplemented
98#14583536C2214yescomplemented
99#14583536C2214yescomplemented
100D4×C22⋊D43C2214yescomplemented
101D4×C22⋊D43C2214yescomplemented
102#14583531C2214yescomplemented
103#14583531C2214yescomplemented
104#14583525C2212yescomplemented
105#14583525C2211yescharacteristic, complemented
106#14583524C2212yescomplemented
107#14583524C2212yescomplemented
108#14583522C2214yescomplemented
109#14583520C2214yescomplemented
110#14583519C2214yescomplemented
111#14583519C2214yescomplemented
112#14583518C2214yescomplemented
113#14583517C2214yescomplemented
114#14583517C2214yescomplemented
115#14583515C2214yescomplemented
116#14583515C2214yescomplemented
117#14583514C2214yescomplemented
118#14583513C2214yescomplemented
119#14583513C2214yescomplemented
120#14583489C2212yescomplemented
121#14583489C2212yescomplemented
122#14583488C2214yescomplemented
123#14583487C2212yescomplemented
124#14583487C2212yescomplemented
125#14583487C2214yescomplemented
126#14583486C2212yescomplemented
127#14583486C2212yescomplemented
128#14583486C2214yescomplemented
129#14583485C2214yescomplemented
130#14583485C2214yescomplemented
131#14583484C2214yescomplemented
132#14583484C2214yescomplemented
133#14583484C2214yescomplemented
134#14583482C2214yescomplemented
135#14583482C2214yescomplemented
136#14583482C2214yescomplemented
137#14583481C2214yescomplemented
138#14583475C2212yescomplemented
139#14583472C2214yescomplemented
140#14583471C2214yescomplemented
141#14583471C2214yescomplemented
142#14583471C2214yescomplemented
143#14583470C2212yescomplemented
144#14583465C2214yescomplemented
145#14583464C2214yes—
146#14583464C2214yescomplemented
147#14583461C2212yescomplemented
148#14583461C2211yescharacteristic, complemented
149#14583459C2214yescomplemented
150#14583458C2212yescomplemented
151#14583458C2212yescomplemented
152#14583457C2212yescomplemented
153#14583457C2212yescomplemented
154#14583452C2212yescomplemented
155#14583451C2212yescomplemented
156#14583451C2212yescomplemented
157#14583446C2214yescomplemented
158#14583445C2212yescomplemented
159#14583444C2212yescomplemented
160#14583444C2212yescomplemented
161#14583444C2214yescomplemented
162#14583435C2212yescomplemented
163#14583435C2212yescomplemented
164#14583432C2214yescomplemented
165#14583430C2212yescomplemented
166#14583430C2212yescomplemented
167#14583429C2214yescomplemented
168#14583429C2214yescomplemented
169#14583429C2214yescomplemented
170#14583427C2214yescomplemented
171#14583426C2214yescomplemented
172#14583426C2214yescomplemented
173#14583426C2214yescomplemented
174C2×#13063311C2214yescomplemented
175C2×#13063311C2212yescomplemented
176C2×#13063311C2212yescomplemented
177C2×#13063311C2214yescomplemented
178C2×#13063311C2212yescomplemented
179C2×#13063311C2212yescomplemented
180C2×#13063311C2214yescomplemented
181C2×#13063311C2214yescomplemented
182C2×#13063311C2214yescomplemented
183#124×D43C2214yescomplemented
184#14583410C2212yescomplemented
185#14583410C2212yescomplemented
186#14583405C2214yescomplemented
187#14583405C2214yescomplemented
188#14583405C2214yescomplemented
189C2×#13063294C2212yescomplemented
190#120×D43C2214yescomplemented
191#14583376C2212yescomplemented
192#14583374C2212yescomplemented
193#14583372C2212yescomplemented
194#14583372C2212yescomplemented
195#14583372C2212yescomplemented
196#14583371C2214yescomplemented
197#14583371C2214yescomplemented
198#41×Dic43C2212yescomplemented
199#14583367C2212yescomplemented
200C4×#10621900C2214yescomplemented
201C4×#10621900C2214yescomplemented
202C22×C22⋊Dic43C2211yescharacteristic, complemented
203C22×(C2×D43)⋊C4C2211yescharacteristic, complemented
204C22×(C2×D43)⋊C4C2211yescharacteristic, complemented
205C22×C4×Dic43C2211yescharacteristic, complemented
206C43×#551C2214yescomplemented
207C43×#551C2214yescomplemented
208C43×#546C2214yescomplemented
209C43×#546C2214yescomplemented
210C43×#543C2211yescharacteristic, complemented
211C43×#538C2212yescomplemented
212C43×#538C2212yescomplemented
213C43×#534C2211yescharacteristic, complemented
214C43×#525C2212yescomplemented
215C43×#525C2212yescomplemented
216C2×#120×C43C2212yescomplemented
217C43×#518C2212yescomplemented
218C22×C22⋊C4×C43C2211yescharacteristic, complemented
219C24×D43C2311yescharacteristic
220#13063372—48no—
221#13063370—48no—
222C2×#10621898C2314yes—
223C2×#10621898C2312yes—
224C2×#10621898C2312yes—
225C2×#10621898C2314yescomplemented
226C2×#10621900C2314yes—
227C2×#10621900C2314yes—
228C2×#10621900C2314yes—
229C2×#10621900C2314yes—
230C2×#10621900C2314yescomplemented
231C22×Dic86—44no—
232C22×Dic86C2312yes—
233C22×Dic86C2312yes—
234C22×Dic86C2314yes—
235C22×Dic86C2312yes—
236C22×Dic86C2312yes—
237C22×Dic86C2314yescomplemented
238C2×Q8×D43C2314yescomplemented
239C22×C22⋊D43—44no—
240C22×C22⋊D43C2312yes—
241C22×C22⋊D43C2312yes—
242C22×C22⋊D43C2312yes—
243C22×C22⋊D43C2312yes—
244C22×C22⋊D43C2312yes—
245C22×C22⋊D43C2312yes—
246C22×C22⋊D43C2314yes—
247C22×C22⋊D43C2312yes—
248C22×C22⋊D43C2314yes—
249C2×D4×D43C2314yes—
250C2×D4×D43C2314yes—
251C2×D4×D43C2314yes—
252C2×D4×D43C2314yes—
253C23×Dic43C2311yescharacteristic
254C23×Dic43C2311yescharacteristic
255C23×Dic43C2311yescharacteristic
256#13063325C2314yescomplemented
257#13063324C2314yescomplemented
258#13063324C2314yescomplemented
259#13063324C2314yescomplemented
260#13063324C2314yescomplemented
261#13063324C2312yescomplemented
262#13063324C2312yescomplemented
263#13063323C2314yescomplemented
264#13063323C2312yescomplemented
265#13063321C2314yes—
266#13063321C2314yes—
267#13063321C2312yescomplemented
268#13063320C2314yescomplemented
269#13063320C2314yescomplemented
270#13063320C2314yescomplemented
271#13063320C2314yescomplemented
272#13063320C2314yescomplemented
273#13063320C2314yescomplemented
274#13063320C2314yescomplemented
275#13063320C2314yescomplemented
276#13063319C2314yescomplemented
277#13063319C2314yescomplemented
278#13063318C2314yescomplemented
279#13063318C2314yescomplemented
280#13063318C2314yescomplemented
281#13063318C2314yescomplemented
282#13063318C2314yescomplemented
283#13063318C2314yescomplemented
284#13063318C2314yescomplemented
285#13063318C2314yescomplemented
286#13063316C2312yescomplemented
287#13063316C2312yescomplemented
288#13063315C2314yescomplemented
289#13063315C2314yescomplemented
290#13063314C2314yescomplemented
291#13063314C2314yescomplemented
292#13063314C2312yescomplemented
293#13063313C2314yescomplemented
294#13063313C2314yescomplemented
295#13063313C2314yescomplemented
296#13063312C2314yescomplemented
297#13063312C2314yescomplemented
298#13063312C2314yescomplemented
299#13063312C2312yescomplemented
300#13063311C2314yes—
301#13063311C2314yes—
302#13063311C2314yes—
303#13063311C2314yes—
304#13063311C2314yes—
305#13063311C2314yes—
306#13063311C2314yes—
307#13063311C2314yes—
308#13063311C2314yes—
309#13063311C2314yes—
310#13063311C2314yes—
311#13063311C2314yes—
312#13063311C2314yes—
313#13063311C2314yes—
314#13063311C2314yes—
315#13063311C2314yes—
316#13063311C2314yes—
317#13063311C2314yes—
318#13063311C2314yescomplemented
319#13063311C2314yescomplemented
320#13063311C2314yescomplemented
321#13063311C2314yescomplemented
322#13063311C2314yescomplemented
323#13063311C2314yescomplemented
324#13063311C2314yescomplemented
325#13063311C2314yescomplemented
326#13063311C2314yescomplemented
327#13063311C2314yescomplemented
328#13063311C2314yescomplemented
329#13063311C2314yescomplemented
330#13063311C2314yescomplemented
331#13063311C2314yescomplemented
332#13063310C2314yescomplemented
333#13063310C2314yescomplemented
334#13063310C2314yescomplemented
335#13063310C2314yescomplemented
336#13063310C2314yescomplemented
337#13063310C2314yescomplemented
338#13063309C2314yes—
339#13063309C2314yes—
340#13063309C2314yes—
341#13063309C2314yes—
342#13063309C2314yescomplemented
343#13063309C2314yescomplemented
344#13063309C2314yescomplemented
345#13063308C2314yes—
346#13063308C2314yes—
347#13063308C2314yes—
348#13063308C2314yescomplemented
349#13063308C2314yescomplemented
350#13063308C2314yescomplemented
351#13063307C2314yes—
352#13063307C2314yes—
353#13063307C2314yescomplemented
354#13063307C2314yescomplemented
355#13063307C2314yescomplemented
356#13063307C2314yescomplemented
357#13063307C2314yescomplemented
358#13063307C2314yescomplemented
359#13063306C2314yes—
360#13063306C2314yes—
361#13063306C2314yes—
362#13063306C2314yescomplemented
363#13063306C2314yescomplemented
364#13063306C2314yescomplemented
365#13063305C2314yescomplemented
366#13063305C2314yescomplemented
367#13063305C2314yescomplemented
368#13063305C2314yescomplemented
369#13063304C2312yes—
370#13063304C2312yes—
371#13063304C2312yes—
372#13063304C2312yes—
373#13063304C2314yescomplemented
374#13063304C2314yescomplemented
375#13063304C2314yescomplemented
376#13063304C2314yescomplemented
377#13063303C2314yescomplemented
378#13063303C2314yescomplemented
379#13063303C2314yescomplemented
380#13063303C2314yescomplemented
381#13063303C2314yescomplemented
382#13063303C2314yescomplemented
383#13063303C2314yescomplemented
384#13063303C2314yescomplemented
385#13063302C2314yes—
386#13063302C2314yes—
387#13063302C2314yes—
388#13063302C2314yes—
389#13063302C2314yes—
390#13063302C2314yes—
391#13063302C2314yescomplemented
392#13063302C2314yescomplemented
393#13063302C2314yescomplemented
394#13063302C2314yescomplemented
395#13063302C2314yescomplemented
396#13063302C2314yescomplemented
397#13063302C2314yescomplemented
398#13063302C2314yescomplemented
399#13063301C2314yescomplemented
400#13063301C2314yescomplemented
401#13063300C2314yescomplemented
402#13063300C2314yescomplemented
403#13063299C2312yes—
404#13063299C2312yes—
405#13063299C2314yes—
406#13063299C2314yes—
407#13063299C2312yes—
408#13063299C2312yes—
409#13063299C2314yescomplemented
410#13063299C2314yescomplemented
411#13063298C2314yes—
412#13063298C2314yes—
413#13063298C2314yes—
414#13063298C2314yes—
415#13063298C2314yescomplemented
416#13063298C2314yescomplemented
417#13063298C2314yescomplemented
418#13063298C2314yescomplemented
419#13063297C2314yes—
420#13063297C2314yes—
421#13063297C2314yes—
422#13063297C2314yes—
423#13063297C2314yes—
424#13063297C2314yes—
425#13063297C2314yes—
426#13063297C2314yes—
427#13063297C2314yes—
428#13063297C2314yes—
429#13063297C2314yescomplemented
430#13063297C2314yescomplemented
431#13063297C2314yescomplemented
432#13063297C2314yescomplemented
433#13063296C2314yes—
434#13063296C2314yes—
435#13063296C2314yescomplemented
436#13063296C2314yescomplemented
437#13063295C2314yes—
438#13063295C2314yes—
439#13063295C2314yes—
440#13063295C2314yes—
441#13063295C2314yescomplemented
442#13063295C2314yescomplemented
443#13063295C2314yescomplemented
444#13063294C2314yes—
445#13063294C2314yes—
446#13063294C2314yes—
447#13063294C2314yes—
448#13063294C2314yes—
449#13063294C2314yescomplemented
450#13063293C2314yes—
451#13063293C2314yes—
452#13063293C2314yes—
453#13063293C2314yes—
454#13063293C2314yes—
455#13063293C2314yescomplemented
456#13063293C2314yescomplemented
457#13063293C2314yescomplemented
458Q8×Dic43C2312yescomplemented
459Q8×Dic43C2312yescomplemented
460C4×Dic86C2314yescomplemented
461C4×Dic86C2314yescomplemented
462C4×Dic86C2314yescomplemented
463C4×Dic86C2314yescomplemented
464#13063290C2314yescomplemented
465#13063290C2314yescomplemented
466#13063290C2314yescomplemented
467#13063290C2312yescomplemented
468#13063290C2314yescomplemented
469#13063290C2312yescomplemented
470C4×D172C2314yescomplemented
471C4×D172C2314yescomplemented
472D4×Dic43C2314yes—
473D4×Dic43C2314yes—
474D4×Dic43C2314yes—
475D4×Dic43C2314yes—
476D4×Dic43C2314yes—
477D4×Dic43C2314yes—
478D4×Dic43C2312yescomplemented
479D4×Dic43C2314yescomplemented
480D4×Dic43C2314yescomplemented
481D4×Dic43C2312yescomplemented
482#13063287C2312yescomplemented
483#13063287C2314yescomplemented
484#13063287C2314yescomplemented
485#13063287C2312yescomplemented
486C4×C22⋊D43C2314yes—
487C4×C22⋊D43C2314yes—
488C4×C22⋊D43C2314yes—
489C4×C22⋊D43C2314yes—
490C4×C22⋊D43C2314yes—
491C4×C22⋊D43C2314yes—
492C4×C22⋊D43C2314yescomplemented
493C4×C22⋊D43C2314yescomplemented
494C4×C22⋊D43C2314yescomplemented
495C4×C22⋊D43C2314yescomplemented
496C4×C22⋊D43C2314yescomplemented
497C4×C22⋊D43C2314yescomplemented
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)⋊C4C2314yescomplemented
507(C22⋊D43)⋊C4C2314yescomplemented
508(C22⋊D43)⋊C4C2314yescomplemented
509(C22⋊D43)⋊C4C2314yescomplemented
510(C22⋊D43)⋊C4C2314yescomplemented
511(C22⋊D43)⋊C4C2314yescomplemented
512#13063284C2312yes—
513#13063284C2312yes—
514#13063284C2314yescomplemented
515#13063284C2314yescomplemented
516#13063283C2314yescomplemented
517#13063283C2314yescomplemented
518#13063283C2314yescomplemented
519#13063283C2314yescomplemented
520#13063282C2314yescomplemented
521#13063282C2314yescomplemented
522#13063282C2314yescomplemented
523#13063281C2314yes—
524#13063281C2314yes—
525#13063281C2314yes—
526#13063281C2314yescomplemented
527#13063281C2314yescomplemented
528#13063281C2314yescomplemented
529#13063281C2314yescomplemented
530C2×C22⋊Dic43C2312yes—
531C2×C22⋊Dic43C2312yes—
532C2×C22⋊Dic43C2312yes—
533C2×C22⋊Dic43C2314yes—
534C2×C22⋊Dic43C2312yes—
535C2×C22⋊Dic43C2312yes—
536C2×C22⋊Dic43C2312yes—
537C2×C22⋊Dic43C2312yes—
538C2×C22⋊Dic43C2314yescomplemented
539C2×(C2×D43)⋊C4C2314yes—
540C2×(C2×D43)⋊C4C2314yes—
541C2×(C2×D43)⋊C4C2312yes—
542C2×(C2×D43)⋊C4C2314yes—
543C2×(C2×D43)⋊C4C2312yes—
544C2×(C2×D43)⋊C4C2312yes—
545C2×(C2×D43)⋊C4C2312yes—
546C2×(C2×D43)⋊C4C2312yes—
547C2×(C2×D43)⋊C4C2312yes—
548C2×(C2×D43)⋊C4C2314yescomplemented
549C2×(C2×D43)⋊C4C2314yescomplemented
550C22⋊C4×D43C2314yes—
551C22⋊C4×D43C2314yes—
552C22⋊C4×D43C2314yes—
553C22⋊C4×D43C2314yescomplemented
554C22⋊C4×D43C2314yescomplemented
555C22⋊C4×D43C2314yescomplemented
556C22⋊C4×D43C2314yescomplemented
557C2×C4×Dic43C2312yes—
558C2×C4×Dic43C2312yes—
559C2×C4×Dic43C2312yes—
560C2×C4×Dic43C2312yes—
561C2×C4×Dic43C2312yes—
562C2×C4×Dic43C2312yes—
563C2×C4×Dic43C2314yescomplemented
564C42×D43C2314yescomplemented
565C25×C43C2311yescharacteristic
566C2×#41×C43C2312yes—
567C2×#41×C43C2312yes—
568C22×D4×C43C2312yes—
569C22×D4×C43C2312yes—
570C22×D4×C43C2312yes—
571C23×C4×C43C2311yescharacteristic
572C23×C4×C43C2311yescharacteristic
573#126×C43C2314yescomplemented
574#126×C43C2314yescomplemented
575#124×C43C2314yescomplemented
576#124×C43C2314yescomplemented
577#123×C43C2314yes—
578#123×C43C2314yes—
579#123×C43C2314yescomplemented
580#123×C43C2314yescomplemented
581#123×C43C2314yescomplemented
582C22⋊Q8×C43C2312yes—
583C22⋊Q8×C43C2312yes—
584C22⋊Q8×C43C2312yes—
585C22⋊Q8×C43C2312yes—
586C22⋊Q8×C43C2314yescomplemented
587C22⋊Q8×C43C2314yescomplemented
588#121×C43C2312yes—
589#121×C43C2312yes—
590#121×C43C2312yes—
591#121×C43C2312yes—
592#121×C43C2314yescomplemented
593#121×C43C2314yescomplemented
594#120×C43C2314yes—
595#120×C43C2314yes—
596#120×C43C2314yes—
597#120×C43C2314yes—
598#120×C43C2314yescomplemented
599C4×D4×C43C2314yes—
600C4×D4×C43C2314yes—
601C4×D4×C43C2314yes—
602C4×D4×C43C2314yes—
603C4×D4×C43C2314yescomplemented
604C4×D4×C43C2314yescomplemented
605#117×C43C2312yes—
606#117×C43C2312yes—
607#117×C43C2314yescomplemented
608C2×C22⋊C4×C43C2311yescharacteristic
609C2×C22⋊C4×C43C2314yes—
610C2×C22⋊C4×C43C2314yes—
611C2×C22⋊C4×C43C2311yescharacteristic
612C2×C22⋊C4×C43C2311yescharacteristic
613C2×C22⋊C4×C43C2311yescharacteristic
614C2×C22⋊C4×C43C2312yes—
615C2×C22⋊C4×C43C2312yes—
616C2×C22⋊C4×C43C2312yes—
617C2×C22⋊C4×C43C2314yescomplemented
618C24×C43—42no—
619C24×C43—42no—
620C24×C43—42no—
621C24×C43C2411yescharacteristic
622C24×C43C2411yescharacteristic
623C24×C43C2412yes—
624C24×C43C2412yes—
625C24×C43C2411yescharacteristic
626C24×C43C2412yes—
627C23×D43—42no—
628C23×D43—42no—
629C23×D43—42no—
630C23×D43C2412yes—
631C23×D43C2412yes—
632C23×D43C2412yes—
633C23×D43C2412yes—
634C23×D43C2414yes—
635#41×C43—44no—
636#41×C43—44no—
637C2×Q8×C43C2412yes—
638C2×Q8×C43C2412yes—
639C2×D4×C43—44no—
640C2×D4×C43—44no—
641C2×D4×C43—44no—
642C2×D4×C43C2414yes—
643C2×D4×C43C2414yes—
644C2×D4×C43C2414yes—
645C2×D4×C43C2414yes—
646C2×D4×C43C2414yes—
647C2×D4×C43C2414yes—
648C2×D4×C43C2412yes—
649C2×D4×C43C2412yes—
650C22×C4×C43—42no—
651C22×C4×C43—42no—
652C22×C4×C43C2412yes—
653C22×C4×C43C2412yes—
654C22×C4×C43C2412yes—
655C22×C4×C43C2411yescharacteristic
656C22×C4×C43C2411yescharacteristic
657C22×C4×C43C2412yes—
658C22×C4×C43C2412yes—
659C22×C4×C43C2412yes—
660C22×C4×C43C2412yes—
661C22×C4×C43C2411yescharacteristic
662C22×C4×C43C2411yescharacteristic
663C22×C4×C43C2414yes—
664C22×C4×C43C2414yes—
665C2×C22⋊D43—28no—
666C2×C22⋊D43—44no—
667C2×C22⋊D43—44no—
668C2×C22⋊D43—44no—
669C2×C22⋊D43—44no—
670C2×C22⋊D43—44no—
671C2×C22⋊D43—48no—
672C2×C22⋊D43—44no—
673C2×C22⋊D43—48no—
674C2×C22⋊D43C2414yes—
675C2×C22⋊D43C2414yes—
676C2×C22⋊D43C2414yes—
677C2×C22⋊D43C2414yes—
678C2×C22⋊D43C2414yes—
679C2×C22⋊D43C2414yes—
680C2×C22⋊D43C2414yes—
681C2×C22⋊D43C2414yes—
682C2×C22⋊D43C2414yes—
683C2×C22⋊D43C2414yes—
684C2×C22⋊D43C2414yes—
685C2×C22⋊D43C2414yes—
686C2×C22⋊D43C2414yes—
687C2×C22⋊D43C2414yes—
688C2×C22⋊D43C2414yes—
689C2×C22⋊D43C2414yes—
690C22×Dic43—24no—
691C22×Dic43—42no—
692C22×Dic43—42no—
693C22×Dic43C2412yes—
694C22×Dic43C2412yes—
695C22×Dic43C2412yes—
696C22×Dic43C2411yescharacteristic
697C22×Dic43C2414yes—
698C22×Dic43C2412yes—
699C22×Dic43C2411yescharacteristic
700C22×Dic43C2412yes—
701C22×Dic43C2411yescharacteristic
702C22×Dic43C2414yes—
703C22×Dic43C2412yes—
704C22×Dic43C2412yes—
705C22×Dic43C2414yes—
706C22×Dic43C2412yes—
707C22×Dic43C2412yes—
708C22×Dic43C2412yes—
709C22×Dic43C2411yescharacteristic
710Q8×D43—48no—
711#10621900—216no—
712#10621900—48no—
713#10621900—48no—
714#10621900—48no—
715#10621900—48no—
716D4×D43—48no—
717D4×D43—48no—
718D4×D43—48no—
719D4×D43—48no—
720#10621898—48no—
721#10621898—48no—
722#10621898—44no—
723#10621898—44no—
724C2×D172C2412yes—
725C2×D172C2414yes—
726C2×D172C2414yes—
727C2×D172C2414yes—
728C2×D172C2412yes—
729C2×C4×D43C2414yes—
730C2×C4×D43C2414yes—
731C2×C4×D43C2414yes—
732C2×C4×D43C2414yes—
733C2×C4×D43C2414yes—
734C2×C4×D43C2414yes—
735C2×C4×D43C2414yes—
736C2×C4×D43C2414yes—
737C2×Dic86—28no—
738C2×Dic86—44no—
739C2×Dic86—48no—
740C2×Dic86—44no—
741C2×Dic86—48no—
742C2×Dic86—44no—
743C2×Dic86C2414yes—
744C2×Dic86C2414yes—
745C2×Dic86C2414yes—
746C2×Dic86C2412yes—
747C2×Dic86C2414yes—
748C2×Dic86C2414yes—
749C2×Dic86C2412yes—
750C2×Dic86C2414yes—
751C2×Dic86C2414yes—
752C4⋊C4×C43C2412yes—
753C4⋊C4×C43C2412yes—
754C4⋊C4×C43C2412yes—
755C4⋊C4×C43C2412yes—
756C4⋊C4×C43C2414yes—
757C4⋊C4×C43C2414yes—
758C4⋊C4×C43C2414yes—
759C4⋊C4×C43C2414yes—
760C22⋊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—
770C22⋊C4×C43C2414yes—
771C22⋊C4×C43C2414yes—
772C22⋊C4×C43C2414yes—
773C22⋊C4×C43C2414yes—
774C42×C43C2414yes—
775C42×C43C2414yes—
776C22⋊Dic43C2414yes—
777C22⋊Dic43C2414yes—
778C22⋊Dic43C2414yes—
779C22⋊Dic43C2414yes—
780C22⋊Dic43C2414yes—
781C22⋊Dic43C2414yes—
782C22⋊Dic43C2414yes—
783C22⋊Dic43C2414yes—
784C22⋊Dic43C2414yes—
785C22⋊Dic43C2414yes—
786C22⋊Dic43C2414yes—
787C22⋊Dic43C2414yes—
788C22⋊Dic43C2414yes—
789C22⋊Dic43C2414yes—
790C22⋊Dic43C2414yes—
791C22⋊Dic43C2414yes—
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—
808(C2×D43)⋊C4C2414yes—
809(C2×D43)⋊C4C2414yes—
810(C2×D43)⋊C4C2414yes—
811(C2×D43)⋊C4C2414yes—
812(C2×D43)⋊C4C2414yes—
813(C2×D43)⋊C4C2414yes—
814(C2×D43)⋊C4C2414yes—
815(C2×D43)⋊C4C2414yes—
816C4⋊Dic43C2414yes—
817C4⋊Dic43C2414yes—
818C4⋊Dic43C2414yes—
819C4⋊Dic43C2414yes—
820C4⋊Dic43C2412yes—
821C4⋊Dic43C2412yes—
822C4⋊Dic43C2412yes—
823C4⋊Dic43C2412yes—
824C4⋊Dic43C2414yes—
825C4⋊Dic43C2414yes—
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—
842C4×Dic43C2412yes—
843C4×Dic43C2414yes—
844C4×Dic43C2414yes—
845C4×Dic43C2412yes—
846C4×Dic43C2412yes—
847C4×Dic43C2412yes—
848C4×Dic43C2412yes—
849C4×Dic43C2412yes—
850C4×Dic43C2412yes—
851C4×Dic43C2412yes—
852C4×Dic43C2414yes—
853C4×Dic43C2414yes—
854C4×Dic43C2414yes—
855C4×Dic43C2414yes—
856C4×Dic43C2414yes—
857C4×Dic43C2414yes—
858C23×C43—22no—
859C23×C43—22no—
860C23×C43—22no—
861C23×C43—24no—
862C23×C43—22no—
863C23×C43—24no—
864C23×C43—22no—
865C23×C43—41no—
866C23×C43—42no—
867C23×C43—41no—
868C23×C43—42no—
869C23×C43—42no—
870C23×C43—41no—
871C23×C43—42no—
872C23×C43—41no—
873C23×C43—42no—
874C23×C43—42no—
875C23×C43—42no—
876C23×C43—88no—
877C23×C43C2512yes—
878C23×C43C2512yes—
879C23×C43C2514yes—
880C23×C43C2511yescharacteristic
881C23×C43C2511yescharacteristic
882C23×C43C2511yescharacteristic
883C22×D43—24no—
884C22×D43—24no—
885C22×D43—24no—
886C22×D43—42no—
887C22×D43—42no—
888C22×D43—42no—
889C22×D43—42no—
890C22×D43—42no—
891C22×D43—42no—
892C22×D43—44no—
893C22×D43—42no—
894C22×D43—44no—
895C22×D43—44no—
896C22×D43—42no—
897C22×D43—42no—
898C22×D43—88no—
899C22×D43C2514yes—
900C22×D43C2514yes—
901Q8×C43—42no—
902Q8×C43—42no—
903D4×C43—28no—
904D4×C43—28no—
905D4×C43—28no—
906D4×C43—44no—
907D4×C43—42no—
908D4×C43—44no—
909D4×C43—44no—
910D4×C43—42no—
911C2×C4×C43—24no—
912C2×C4×C43—24no—
913C2×C4×C43—41no—
914C2×C4×C43—42no—
915C2×C4×C43—41no—
916C2×C4×C43—44no—
917C2×C4×C43—42no—
918C2×C4×C43—41no—
919C2×C4×C43—42no—
920C2×C4×C43—41no—
921C2×C4×C43—42no—
922C2×C4×C43—42no—
923C2×C4×C43—44no—
924C2×C4×C43C2512yes—
925C2×C4×C43C2512yes—
926C2×C4×C43C2514yes—
927C2×C4×C43C2514yes—
928C2×C4×C43C2512yes—
929C2×C4×C43C2514yes—
930C2×C4×C43C2512yes—
931C22⋊D43—28no—
932C22⋊D43—28no—
933C22⋊D43—28no—
934C22⋊D43—28no—
935C22⋊D43—28no—
936C22⋊D43—28no—
937C22⋊D43—44no—
938C22⋊D43—44no—
939C22⋊D43—44no—
940C22⋊D43—44no—
941C22⋊D43—44no—
942C22⋊D43—44no—
943C22⋊D43—44no—
944C22⋊D43—44no—
945C22⋊D43—44no—
946C22⋊D43—44no—
947C2×Dic43—24no—
948C2×Dic43—22no—
949C2×Dic43—24no—
950C2×Dic43—24no—
951C2×Dic43—24no—
952C2×Dic43—28no—
953C2×Dic43—42no—
954C2×Dic43—42no—
955C2×Dic43—44no—
956C2×Dic43—42no—
957C2×Dic43—44no—
958C2×Dic43—41no—
959C2×Dic43—42no—
960C2×Dic43—41no—
961C2×Dic43—42no—
962C2×Dic43—42no—
963C2×Dic43H(5,𝔽2)14yes—
964C2×Dic43C2512yes—
965C2×Dic43C2514yes—
966C2×Dic43C2514yes—
967C2×Dic43C2512yes—
968C2×Dic43C2512yes—
969C2×Dic43C2514yes—
970C2×Dic43C2514yes—
971C2×Dic43C2512yes—
972D172—42no—
973D172—42no—
974D172—44no—
975D172—44no—
976D172—44no—
977C4×D43—28no—
978C4×D43—44no—
979C4×D43—44no—
980C4×D43—44no—
981C4×D43—44no—
982C4×D43—44no—
983C4×D43—44no—
984C4×D43—44no—
985Dic86—28no—
986Dic86—28no—
987Dic86—28no—
988Dic86—44no—
989Dic86—44no—
990Dic86—42no—
991Dic86—44no—
992Dic86—42no—
993Dic86—44no—
994#62824—431nomaximal, Sylow
995C22×C43—28no—
996C22×C43—21no—
997C22×C43—21no—
998C22×C43—21no—
999C22×C43—21no—
1000C22×C43—21no—
1001C22×C43—21no—
1002C22×C43—22no—
1003C22×C43—24no—
1004C22×C43—22no—
1005C22×C43—22no—
1006C22×C43—22no—
1007C22×C43—24no—
1008C22×C43—24no—
1009C22×C43—22no—
1010C22×C43—22no—
1011C22×C43—84no—
1012C22×C43—82no—
1013C22×C43—84no—
1014C22×C43—82no—
1015C22×C43—162no—
1016C22×C43C2×H(5,𝔽2)12yes—
1017C22×C43#58512yes—
1018C22×C43#58512yes—
1019C22×C43C2611yescharacteristic
1020C2×D43—24no—
1021C2×D43—24no—
1022C2×D43—24no—
1023C2×D43—24no—
1024C2×D43—24no—
1025C2×D43—24no—
1026C2×D43—84no—
1027C2×D43—84no—
1028C2×D43—84no—
1029C2×D43—164no—
1030C2×D43—162no—
1031C4×C43—22no—
1032C4×C43—22no—
1033C4×C43—24no—
1034C4×C43—24no—
1035C4×C43—22no—
1036C4×C43—22no—
1037C4×C43—24no—
1038Dic43—24no—
1039Dic43—24no—
1040Dic43—22no—
1041Dic43—22no—
1042Dic43—24no—
1043Dic43—24no—
1044Dic43—22no—
1045Dic43C2×H(5,𝔽2)14yes—
1046#3561—434no—
1047#3561—432no—
1048#3561—432no—
1049#3558—434no—
1050#3558—432no—
1051#3558—432no—
1052#3545—434no—
1053#3545—434no—
1054#3514—434no—
1055#3514—434no—
1056#3514—434no—
1057#3514—434no—
1058#3510—434no—
1059#3500—434no—
1060#3490—432no—
1061#3490—432no—
1062#3490—432no—
1063#3490—431no—
1064#3490D4311yescharacteristic, complemented
1065#3486—432no—
1066#3484—432no—
1067#3444—432no—
1068C22×#124—431no—
1069C2×C43—22no—
1070C2×C43—22no—
1071C2×C43—22no—
1072C2×C43—42no—
1073C2×C43—44no—
1074C2×C43—42no—
1075C2×C43C22×H(5,𝔽2)11yescharacteristic
1076C2×C43C2×#58511yescharacteristic
1077C2×C43C2×#58511yescharacteristic
1078D43—44no—
1079D43—44no—
1080C2×2−1+4—432no—
1081C2×H(5,𝔽2)—432no—
1082C23×Q8—431no—
1083C23×D4—431no—
1084#563—434no—
1085#563—434no—
1086#562—434no—
1087#562—434no—
1088#562—434no—
1089#562—434no—
1090H(3,𝔽4)—434no—
1091H(3,𝔽4)—434no—
1092#559—434no—
1093#559—434no—
1094#559—434no—
1095#559—434no—
1096#556—434no—
1097#556—434no—
1098#556—434no—
1099#556—434no—
1100#555—434no—
1101#555—434no—
1102#555—434no—
1103#555—434no—
1104#551—434no—
1105#551—434no—
1106#551—434no—
1107#551—434no—
1108#551—434no—
1109#551—434no—
1110#551—434no—
1111#551—434no—
1112#551—434no—
1113#551—434no—
1114#551—434no—
1115#551—434no—
1116#551—434no—
1117#551—434no—
1118#551—434no—
1119#551—434no—
1120#551—434no—
1121#551—434no—
1122#551C2×D4314yescomplemented
1123#551C2×D4314yescomplemented
1124D4×Q8—434no—
1125D4×Q8—434no—
1126D4×Q8—434no—
1127D4×Q8—434no—
1128#548—434no—
1129#548—434no—
1130#548—434no—
1131#548—434no—
1132#548—434no—
1133#548—434no—
1134#548—434no—
1135#548—434no—
1136#546—434no—
1137#546—434no—
1138#546—434no—
1139#546—434no—
1140#546—434no—
1141#546—434no—
1142#546—434no—
1143#546—434no—
1144#546—434no—
1145#546—434no—
1146#546—434no—
1147#546—434no—
1148#546—434no—
1149#546—434no—
1150#546—434no—
1151#546—434no—
1152#546—434no—
1153#546—434no—
1154#546—434no—
1155#546—434no—
1156#546—434no—
1157#546—434no—
1158#546C2×D4314yescomplemented
1159#546C2×D4314yescomplemented
1160D42—434no—
1161D42—434no—
1162D42—434no—
1163D42—434no—
1164#543—432no—
1165#543—432no—
1166#543—432no—
1167#543—431no—
1168#543C2×D4311yescharacteristic, complemented
1169#542—434no—
1170#542—434no—
1171#542—434no—
1172#542—434no—
1173#542—434no—
1174#542—434no—
1175#542—434no—
1176#542—434no—
1177#542—434no—
1178#542—434no—
1179#542—434no—
1180#542—434no—
1181#538—434no—
1182#538—434no—
1183#538—434no—
1184#538—432no—
1185#538—432no—
1186#538—432no—
1187#538—432no—
1188#538—434no—
1189#538—434no—
1190#538—434no—
1191#538—434no—
1192#538—434no—
1193#538—434no—
1194#538—434no—
1195#538—434no—
1196#538—432no—
1197#538—432no—
1198#538—434no—
1199#538C2×D4312yescomplemented
1200#538C2×D4312yescomplemented
1201#536—432no—
1202#536—434no—
1203#536—434no—
1204#536—434no—
1205#536—434no—
1206#536—432no—
1207#535—434no—
1208#535—434no—
1209#535—434no—
1210#534—432no—
1211#534—432no—
1212#534—432no—
1213#534—432no—
1214#534—434no—
1215#534—432no—
1216#534—431no—
1217#534C2×D4311yescharacteristic, complemented
1218#533—432no—
1219#533—432no—
1220#533—432no—
1221#532—432no—
1222#532—432no—
1223#532—432no—
1224#532—434no—
1225#532—434no—
1226#529—434no—
1227#529—434no—
1228#529—434no—
1229#529—434no—
1230#529—432no—
1231#529—432no—
1232#529—432no—
1233#529—432no—
1234#529—434no—
1235#529—434no—
1236#529—434no—
1237#529—434no—
1238C2×#124—434no—
1239C2×#124—434no—
1240C2×#124—434no—
1241C2×#124—432no—
1242C2×#124—432no—
1243C2×#124—434no—
1244C2×#124—434no—
1245C2×#124—432no—
1246C2×#124—432no—
1247C2×#124—434no—
1248#525—432no—
1249#525—432no—
1250#525—434no—
1251#525—434no—
1252#525—434no—
1253#525C2×D4312yescomplemented
1254#525C2×D4312yescomplemented
1255C2×#120—432no—
1256C2×#120—434no—
1257C2×#120C2×D4312yescomplemented
1258#519—432no—
1259#518—432no—
1260#518—434no—
1261#518—434no—
1262#518—432no—
1263#518—432no—
1264#518—432no—
1265#518C2×D4312yescomplemented
1266C4×#41—432no—
1267C4×#41—434no—
1268C4×#41—434no—
1269C4×#41—432no—
1270C22×C22⋊C4—431no—
1271C22×C22⋊C4—431no—
1272C22×C22⋊C4—431no—
1273C22×C22⋊C4C2×D4311yescharacteristic, complemented
1274C22×C42—431no—
1275C43#6282411yescharacteristic, complemented, Sylow
1276C25—431no—
1277C25C22×D4311yescharacteristic
12782−1+4—1728no—
1279H(5,𝔽2)—1728no—
1280C2×#41—434no—
1281C2×#41—434no—
1282C2×#41—434no—
1283C2×#41—434no—
1284C2×#41—434no—
1285C2×#41—432no—
1286C2×#41—432no—
1287C2×#41—434no—
1288C2×#41—434no—
1289C2×#41C22×D4312yes—
1290C2×#41C22×D4312yes—
1291C22×Q8—434no—
1292C22×Q8—432no—
1293C22×Q8—432no—
1294C22×Q8—432no—
1295C22×Q8—434no—
1296C22×Q8—432no—
1297C22×Q8—434no—
1298C22×Q8—1724no—
1299C22×D4—432no—
1300C22×D4—432no—
1301C22×D4—432no—
1302C22×D4—432no—
1303C22×D4—432no—
1304C22×D4—432no—
1305C22×D4—434no—
1306C22×D4—432no—
1307C22×D4—434no—
1308C22×D4—434no—
1309C22×D4—434no—
1310C22×D4—434no—
1311C22×D4—434no—
1312C22×D4—1724no—
1313C22×D4C22×D4312yes—
1314C22×D4C22×D4312yes—
1315C22×D4C22×D4312yes—
1316C23×C4—431no—
1317C23×C4—431no—
1318C23×C4—431no—
1319C23×C4C22×D4311yescharacteristic
1320C23×C4C22×D4311yescharacteristic
1321C4⋊Q8—432no—
1322C4⋊Q8—434no—
1323C4⋊Q8—432no—
1324C4⋊Q8—432no—
1325C4⋊Q8—434no—
1326C4⋊Q8—434no—
1327C4⋊Q8—434no—
1328C4⋊Q8—434no—
1329C4⋊Q8—434no—
1330#127—432no—
1331#127—434no—
1332#127—434no—
1333#126—434no—
1334#126—434no—
1335#126—434no—
1336#126—434no—
1337#126—434no—
1338#126—434no—
1339#126—434no—
1340#126—434no—
1341#126—434no—
1342#126—434no—
1343#126—434no—
1344#126—434no—
1345#126—434no—
1346#126—434no—
1347#126—434no—
1348#126—434no—
1349#126—434no—
1350#126—434no—
1351#126C22×D4314yescomplemented
1352#126C22×D4314yescomplemented
1353#125—434no—
1354#125—434no—
1355#125—432no—
1356#125—432no—
1357#124—434no—
1358#124—432no—
1359#124—434no—
1360#124—434no—
1361#124—432no—
1362#124—434no—
1363#124—434no—
1364#124—434no—
1365#124—434no—
1366#124—434no—
1367#124—434no—
1368#124—434no—
1369#124—434no—
1370#124—434no—
1371#124—434no—
1372#124—434no—
1373#124—434no—
1374#124—434no—
1375#124—434no—
1376#124—434no—
1377#124—434no—
1378#124—434no—
1379#124—434no—
1380#124—434no—
1381#124—434no—
1382#124—434no—
1383#124—434no—
1384#124—434no—
1385#124—434no—
1386#124—434no—
1387#124—434no—
1388#124—434no—
1389#124—434no—
1390#124—434no—
1391#124—434no—
1392#124—434no—
1393#124—434no—
1394#124—434no—
1395#124—434no—
1396#124—434no—
1397#124—434no—
1398#124—434no—
1399#124C22×D4314yescomplemented
1400#124C22×D4314yescomplemented
1401#123—434no—
1402#123—434no—
1403#123—434no—
1404#123—434no—
1405#123—434no—
1406#123—434no—
1407#123—434no—
1408#123—434no—
1409#123—434no—
1410#123—434no—
1411#123—434no—
1412#123—434no—
1413#123—434no—
1414#123—434no—
1415#123—434no—
1416#123—434no—
1417#123—434no—
1418#123—434no—
1419#123—434no—
1420#123—434no—
1421#123—434no—
1422#123—434no—
1423#123—434no—
1424#123—434no—
1425#123—434no—
1426#123—434no—
1427#123—434no—
1428#123—434no—
1429#123—434no—
1430#123—434no—
1431#123—434no—
1432#123—434no—
1433#123—434no—
1434#123C22×D4314yes—
1435#123C22×D4314yes—
1436#123C22×D4314yescomplemented
1437#123C22×D4314yescomplemented
1438#123C22×D4314yescomplemented
1439C22⋊Q8—434no—
1440C22⋊Q8—434no—
1441C22⋊Q8—432no—
1442C22⋊Q8—432no—
1443C22⋊Q8—432no—
1444C22⋊Q8—432no—
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⋊Q8—434no—
1468C22⋊Q8—434no—
1469C22⋊Q8—434no—
1470C22⋊Q8—434no—
1471C22⋊Q8—434no—
1472C22⋊Q8—434no—
1473C22⋊Q8—434no—
1474C22⋊Q8—434no—
1475C22⋊Q8C22×D4312yes—
1476C22⋊Q8C22×D4312yes—
1477C22⋊Q8C22×D4312yes—
1478C22⋊Q8C22×D4312yes—
1479C22⋊Q8C22×D4314yescomplemented
1480C22⋊Q8C22×D4314yescomplemented
1481#121—434no—
1482#121—434no—
1483#121—434no—
1484#121—434no—
1485#121—434no—
1486#121—434no—
1487#121—434no—
1488#121—434no—
1489#121—434no—
1490#121—434no—
1491#121—434no—
1492#121—434no—
1493#121—434no—
1494#121—434no—
1495#121—434no—
1496#121—434no—
1497#121—434no—
1498#121—434no—
1499#121—432no—
1500#121—432no—
1501#121—432no—
1502#121—432no—
1503#121—434no—
1504#121—434no—
1505#121—434no—
1506#121—434no—
1507#121—434no—
1508#121—434no—
1509#121—434no—
1510#121—434no—
1511#121—434no—
1512#121—434no—
1513#121—434no—
1514#121—434no—
1515#121—434no—
1516#121—434no—
1517#121C22×D4312yes—
1518#121C22×D4312yes—
1519#121C22×D4312yes—
1520#121C22×D4312yes—
1521#121C22×D4314yescomplemented
1522#121C22×D4314yescomplemented
1523#120—434no—
1524#120—434no—
1525#120—434no—
1526#120—434no—
1527#120—434no—
1528#120—434no—
1529#120—434no—
1530#120—434no—
1531#120—434no—
1532#120—434no—
1533#120—434no—
1534#120—434no—
1535#120—434no—
1536#120—434no—
1537#120—434no—
1538#120—434no—
1539#120—434no—
1540#120—434no—
1541#120—434no—
1542#120—434no—
1543#120—434no—
1544#120C22×D4314yes—
1545#120C22×D4314yes—
1546#120C22×D4314yes—
1547#120C22×D4314yes—
1548#120C22×D4314yescomplemented
1549C4×Q8—432no—
1550C4×Q8—432no—
1551C4×Q8—432no—
1552C4×Q8—434no—
1553C4×Q8—432no—
1554C4×Q8—434no—
1555C4×Q8—434no—
1556C4×Q8—434no—
1557C4×Q8—434no—
1558C4×Q8—434no—
1559C4×Q8—434no—
1560C4×Q8—434no—
1561C4×D4—434no—
1562C4×D4—434no—
1563C4×D4—434no—
1564C4×D4—434no—
1565C4×D4—432no—
1566C4×D4—432no—
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×D4—434no—
1576C4×D4—434no—
1577C4×D4—434no—
1578C4×D4—434no—
1579C4×D4—434no—
1580C4×D4—434no—
1581C4×D4—434no—
1582C4×D4—434no—
1583C4×D4—432no—
1584C4×D4—432no—
1585C4×D4—434no—
1586C4×D4—434no—
1587C4×D4—434no—
1588C4×D4—434no—
1589C4×D4—434no—
1590C4×D4—434no—
1591C4×D4—434no—
1592C4×D4—434no—
1593C4×D4—434no—
1594C4×D4—434no—
1595C4×D4—434no—
1596C4×D4—434no—
1597C4×D4—434no—
1598C4×D4—434no—
1599C4×D4—434no—
1600C4×D4—434no—
1601C4×D4—434no—
1602C4×D4—434no—
1603C4×D4C22×D4314yes—
1604C4×D4C22×D4314yes—
1605C4×D4C22×D4314yes—
1606C4×D4C22×D4314yes—
1607C4×D4C22×D4314yescomplemented
1608C4×D4C22×D4314yescomplemented
1609#117—432no—
1610#117—434no—
1611#117—434no—
1612#117—432no—
1613#117—434no—
1614#117—434no—
1615#117—434no—
1616#117—434no—
1617#117—434no—
1618#117—434no—
1619#117—434no—
1620#117—434no—
1621#117—434no—
1622#117—434no—
1623#117—434no—
1624#117—434no—
1625#117—434no—
1626#117—434no—
1627#117C22×D4312yes—
1628#117C22×D4312yes—
1629#117C22×D4314yescomplemented
1630C2×C22⋊C4—432no—
1631C2×C22⋊C4—432no—
1632C2×C22⋊C4—432no—
1633C2×C22⋊C4—432no—
1634C2×C22⋊C4—434no—
1635C2×C22⋊C4—432no—
1636C2×C22⋊C4—432no—
1637C2×C22⋊C4—432no—
1638C2×C22⋊C4—434no—
1639C2×C22⋊C4—432no—
1640C2×C22⋊C4—432no—
1641C2×C22⋊C4—432no—
1642C2×C22⋊C4—432no—
1643C2×C22⋊C4—432no—
1644C2×C22⋊C4—432no—
1645C2×C22⋊C4—434no—
1646C2×C22⋊C4—434no—
1647C2×C22⋊C4—434no—
1648C2×C22⋊C4—434no—
1649C2×C22⋊C4—434no—
1650C2×C22⋊C4—434no—
1651C2×C22⋊C4—434no—
1652C2×C22⋊C4—434no—
1653C2×C22⋊C4—434no—
1654C2×C22⋊C4—434no—
1655C2×C22⋊C4—434no—
1656C2×C22⋊C4—434no—
1657C2×C22⋊C4C22×D4311yescharacteristic
1658C2×C22⋊C4C22×D4311yescharacteristic
1659C2×C22⋊C4C22×D4311yescharacteristic
1660C2×C22⋊C4C22×D4311yescharacteristic
1661C2×C22⋊C4C22×D4314yes—
1662C2×C22⋊C4C22×D4314yes—
1663C2×C22⋊C4C22×D4312yes—
1664C2×C22⋊C4C22×D4312yes—
1665C2×C22⋊C4C22×D4312yes—
1666C2×C22⋊C4C22×D4314yescomplemented
1667C2×C42—434no—
1668C2×C42—432no—
1669C2×C42—432no—
1670C2×C42—432no—
1671C2×C42—432no—
1672C2×C42—432no—
1673C2×C42—432no—
1674C2×C42—434no—
1675C24—42no—
1676C24—42no—
1677C24—42no—
1678C24—432no—
1679C24—432no—
1680C24—432no—
1681C24—434no—
1682C24—432no—
1683C24—1722no—
1684C24—1722no—
1685C24—1722no—
1686C24C23×D4311yescharacteristic
1687C24C23×D4311yescharacteristic
1688C24C23×D4312yes—
1689C24C23×D4312yes—
1690C24C23×D4311yescharacteristic
1691C24C23×D4312yes—
1692#41—44no—
1693#41—44no—
1694#41—8616no—
1695#41—1724no—
1696#41—1724no—
1697#41—1728no—
1698#41—1728no—
1699#41—1728no—
1700#41—1728no—
1701#41—1728no—
1702#41—1728no—
1703C2×Q8—434no—
1704C2×Q8—434no—
1705C2×Q8—434no—
1706C2×Q8—434no—
1707C2×Q8—432no—
1708C2×Q8—434no—
1709C2×Q8—432no—
1710C2×Q8—434no—
1711C2×Q8—434no—
1712C2×Q8—868no—
1713C2×Q8—1724no—
1714C2×Q8—1724no—
1715C2×Q8—1728no—
1716C2×Q8—1724no—
1717C2×Q8—1728no—
1718C2×Q8—1728no—
1719C2×Q8C23×D4312yes—
1720C2×Q8C23×D4312yes—
1721C2×D4—44no—
1722C2×D4—44no—
1723C2×D4—44no—
1724C2×D4—434no—
1725C2×D4—434no—
1726C2×D4—434no—
1727C2×D4—434no—
1728C2×D4—434no—
1729C2×D4—434no—
1730C2×D4—434no—
1731C2×D4—434no—
1732C2×D4—434no—
1733C2×D4—434no—
1734C2×D4—434no—
1735C2×D4—434no—
1736C2×D4—434no—
1737C2×D4—434no—
1738C2×D4—434no—
1739C2×D4—434no—
1740C2×D4—432no—
1741C2×D4—434no—
1742C2×D4—434no—
1743C2×D4—432no—
1744C2×D4—434no—
1745C2×D4—868no—
1746C2×D4—1728no—
1747C2×D4—1724no—
1748C2×D4—1728no—
1749C2×D4—1724no—
1750C2×D4—1728no—
1751C2×D4—1724no—
1752C2×D4—1728no—
1753C2×D4—1728no—
1754C2×D4—1728no—
1755C2×D4—1724no—
1756C2×D4—1724no—
1757C2×D4—1724no—
1758C2×D4C23×D4314yes—
1759C2×D4C23×D4314yes—
1760C2×D4C23×D4314yes—
1761C2×D4C23×D4314yes—
1762C2×D4C23×D4312yes—
1763C2×D4C23×D4314yes—
1764C2×D4C23×D4312yes—
1765C2×D4C23×D4314yes—
1766C22×C4—42no—
1767C22×C4—42no—
1768C22×C4—431no—
1769C22×C4—432no—
1770C22×C4—432no—
1771C22×C4—432no—
1772C22×C4—431no—
1773C22×C4—434no—
1774C22×C4—432no—
1775C22×C4—431no—
1776C22×C4—432no—
1777C22×C4—431no—
1778C22×C4—434no—
1779C22×C4—432no—
1780C22×C4—432no—
1781C22×C4—432no—
1782C22×C4—432no—
1783C22×C4—434no—
1784C22×C4—432no—
1785C22×C4—434no—
1786C22×C4—434no—
1787C22×C4—434no—
1788C22×C4—434no—
1789C22×C4—434no—
1790C22×C4—434no—
1791C22×C4—434no—
1792C22×C4—434no—
1793C22×C4—864no—
1794C22×C4—1722no—
1795C22×C4—1722no—
1796C22×C4C23×D4312yes—
1797C22×C4C23×D4312yes—
1798C22×C4C23×D4311yescharacteristic
1799C22×C4C23×D4312yes—
1800C22×C4C23×D4311yescharacteristic
1801C22×C4C23×D4314yes—
1802C22×C4C23×D4311yescharacteristic
1803C22×C4C23×D4312yes—
1804C22×C4C23×D4311yescharacteristic
1805C22×C4C23×D4314yes—
1806C22×C4C23×D4312yes—
1807C22×C4C23×D4312yes—
1808C22×C4C23×D4312yes—
1809C4⋊C4—434no—
1810C4⋊C4—434no—
1811C4⋊C4—434no—
1812C4⋊C4—434no—
1813C4⋊C4—434no—
1814C4⋊C4—434no—
1815C4⋊C4—434no—
1816C4⋊C4—434no—
1817C4⋊C4—434no—
1818C4⋊C4—434no—
1819C4⋊C4—434no—
1820C4⋊C4—434no—
1821C4⋊C4—434no—
1822C4⋊C4—434no—
1823C4⋊C4—434no—
1824C4⋊C4—434no—
1825C4⋊C4—434no—
1826C4⋊C4—434no—
1827C4⋊C4—434no—
1828C4⋊C4—432no—
1829C4⋊C4—434no—
1830C4⋊C4—432no—
1831C4⋊C4—434no—
1832C4⋊C4—434no—
1833C4⋊C4—432no—
1834C4⋊C4—432no—
1835C4⋊C4C23×D4314yes—
1836C4⋊C4C23×D4314yes—
1837C4⋊C4C23×D4314yes—
1838C4⋊C4C23×D4312yes—
1839C4⋊C4C23×D4312yes—
1840C4⋊C4C23×D4312yes—
1841C4⋊C4C23×D4312yes—
1842C4⋊C4C23×D4314yes—
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⋊C4—434no—
1866C22⋊C4—434no—
1867C22⋊C4—434no—
1868C22⋊C4—434no—
1869C22⋊C4—434no—
1870C22⋊C4—434no—
1871C22⋊C4—434no—
1872C22⋊C4—434no—
1873C22⋊C4—434no—
1874C22⋊C4—434no—
1875C22⋊C4—434no—
1876C22⋊C4—434no—
1877C22⋊C4—434no—
1878C22⋊C4—434no—
1879C22⋊C4—434no—
1880C22⋊C4—434no—
1881C22⋊C4—434no—
1882C22⋊C4—434no—
1883C22⋊C4C23×D4314yes—
1884C22⋊C4C23×D4314yes—
1885C22⋊C4C23×D4314yes—
1886C22⋊C4C23×D4314yes—
1887C22⋊C4C23×D4314yes—
1888C22⋊C4C23×D4314yes—
1889C22⋊C4C23×D4314yes—
1890C22⋊C4C23×D4314yes—
1891C22⋊C4C23×D4314yes—
1892C22⋊C4C23×D4314yes—
1893C22⋊C4C23×D4314yes—
1894C22⋊C4C23×D4314yes—
1895C22⋊C4C23×D4314yes—
1896C22⋊C4C23×D4314yes—
1897C42—432no—
1898C42—432no—
1899C42—432no—
1900C42—432no—
1901C42—432no—
1902C42—432no—
1903C42—432no—
1904C42—432no—
1905C42—434no—
1906C42—434no—
1907C42—434no—
1908C42—434no—
1909C42—434no—
1910C42—434no—
1911C42—434no—
1912C42—434no—
1913C42C23×D4314yes—
1914C42C23×D4314yes—
1915C23—22no—
1916C23—22no—
1917C23—22no—
1918C23—24no—
1919C23—24no—
1920C23—22no—
1921C23—22no—
1922C23—41no—
1923C23—42no—
1924C23—41no—
1925C23—41no—
1926C23—42no—
1927C23—41no—
1928C23—42no—
1929C23—42no—
1930C23—42no—
1931C23—42no—
1932C23—42no—
1933C23—88no—
1934C23—434no—
1935C23—434no—
1936C23—864no—
1937C23—864no—
1938C23—864no—
1939C23—3448no—
1940C23—1722no—
1941C23—1722no—
1942C23—1722no—
1943C23—1722no—
1944C23—1722no—
1945C23—1722no—
1946C23—1724no—
1947C23—1722no—
1948C23—1724no—
1949C23—1722no—
1950C23—1724no—
1951C23—1722no—
1952C23C24×D4312yes—
1953C23C24×D4312yes—
1954C23C24×D4314yes—
1955C23C24×D4311yescharacteristic
1956C23C24×D4311yescharacteristic
1957C23C24×D4311yescharacteristic
1958Q8—42no—
1959Q8—42no—
1960Q8—868no—
1961Q8—868no—
1962Q8—868no—
1963Q8—1724no—
1964Q8—1724no—
1965Q8—1722no—
1966Q8—1724no—
1967Q8—1722no—
1968Q8—1724no—
1969D4—28no—
1970D4—28no—
1971D4—28no—
1972D4—44no—
1973D4—44no—
1974D4—44no—
1975D4—42no—
1976D4—42no—
1977D4—868no—
1978D4—868no—
1979D4—868no—
1980D4—868no—
1981D4—868no—
1982D4—868no—
1983D4—1724no—
1984D4—1724no—
1985D4—1724no—
1986D4—1722no—
1987D4—1722no—
1988D4—1724no—
1989D4—1724no—
1990D4—1724no—
1991D4—1724no—
1992D4—1724no—
1993D4—1724no—
1994D4—1724no—
1995D4—1724no—
1996D4—1724no—
1997D4—1724no—
1998C2×C4—24no—
1999C2×C4—24no—
2000C2×C4—41no—
2001C2×C4—42no—
2002C2×C4—41no—
2003C2×C4—41no—
2004C2×C4—42no—
2005C2×C4—41no—
2006C2×C4—42no—
2007C2×C4—42no—
2008C2×C4—42no—
2009C2×C4—44no—
2010C2×C4—44no—
2011C2×C4—434no—
2012C2×C4—432no—
2013C2×C4—432no—
2014C2×C4—432no—
2015C2×C4—434no—
2016C2×C4—434no—
2017C2×C4—432no—
2018C2×C4—434no—
2019C2×C4—434no—
2020C2×C4—868no—
2021C2×C4—864no—
2022C2×C4—864no—
2023C2×C4—868no—
2024C2×C4—862no—
2025C2×C4—864no—
2026C2×C4—864no—
2027C2×C4—1724no—
2028C2×C4—1724no—
2029C2×C4—1724no—
2030C2×C4—1724no—
2031C2×C4—1724no—
2032C2×C4—1724no—
2033C2×C4—1724no—
2034C2×C4—1722no—
2035C2×C4—1722no—
2036C2×C4—1721no—
2037C2×C4—1722no—
2038C2×C4—1721no—
2039C2×C4—1722no—
2040C2×C4—1722no—
2041C2×C4—1722no—
2042C2×C4—1724no—
2043C2×C4—1724no—
2044C2×C4C24×D4312yes—
2045C2×C4C24×D4312yes—
2046C2×C4C24×D4314yes—
2047C2×C4C24×D4314yes—
2048C2×C4C24×D4312yes—
2049C2×C4C24×D4314yes—
2050C2×C4C24×D4312yes—
2051C22—28no—
2052C22—21no—
2053C22—21no—
2054C22—21no—
2055C22—21no—
2056C22—21no—
2057C22—21no—
2058C22—24no—
2059C22—22no—
2060C22—22no—
2061C22—24no—
2062C22—22no—
2063C22—22no—
2064C22—22no—
2065C22—24no—
2066C22—22no—
2067C22—84no—
2068C22—84no—
2069C22—82no—
2070C22—82no—
2071C22—162no—
2072C22—864no—
2073C22—864no—
2074C22—864no—
2075C22—864no—
2076C22—864no—
2077C22—864no—
2078C22—3444no—
2079C22—3444no—
2080C22—3444no—
2081C22—6882no—
2082C22—6884no—
2083C22H(5,𝔽2)×D4312yes—
2084C22#1458373412yes—
2085C22#1458373512yes—
2086C22C25×D4311yescharacteristic
2087C4—22no—
2088C4—22no—
2089C4—24no—
2090C4—22no—
2091C4—22no—
2092C4—24no—
2093C4—24no—
2094C4—434no—
2095C4—862no—
2096C4—864no—
2097C4—864no—
2098C4—864no—
2099C4—862no—
2100C4—862no—
2101C4—864no—
2102C2—22no—
2103C2—22no—
2104C2—22no—
2105C2—42no—
2106C2—42no—
2107C2—44no—
2108C2—1724no—
2109C2—1724no—
2110C2C2×H(5,𝔽2)×D4311yescharacteristic
2111C2C2×#1458373411yescharacteristic
2112C2C2×#1458373511yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3490C2
hypercenter#3490D43
hypocenterC43#62824
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3490

Complements

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

NH ≅ G/Ntype
1. #19149162C2semidirect
2. #19149155C2semidirect
3. #19149153C2semidirect
4. #19149116C2semidirect
5. #19149107C2semidirect
6. #19149105C2semidirect
7. #19148951C2semidirect
8. #19148942C2semidirect
9. #19148548C2semidirect
10. #19148546C2semidirect
11. #19148545C2semidirect
12. #19148543C2semidirect
13. #19148483C2semidirect
14. #19148381C2semidirect
15. #19148284C2semidirect
16. #19148282C2semidirect
17. #19148278C2semidirect
18. #19148278C2semidirect
19. #19148242C2semidirect
20. #19148224C2semidirect
21. #19147887C2semidirect
22. C22×#13063311C2semidirect
23. C43×#3490C2semidirect
24. C2×#13063372C22semidirect
25. C2×#13063370C22semidirect
26. C23×Dic86C22semidirect
28. #14583651C22semidirect
29. #14583650C22semidirect
30. #14583646C22semidirect
31. #14583646C22semidirect
32. #14583645C22semidirect
33. #14583644C22semidirect
34. #14583642C22semidirect
35. #14583641C22semidirect
36. #14583633C22semidirect
37. #14583633C22semidirect
38. #14583632C22semidirect
39. #14583631C22semidirect
40. #14583620C22semidirect
41. #14583617C22semidirect
42. #14583616C22semidirect
43. #14583616C22semidirect
44. #14583614C22semidirect
45. #14583613C22semidirect
46. #14583612C22semidirect
47. #14583611C22semidirect
48. #14583580C22semidirect
49. #14583580C22semidirect
50. #14583578C22semidirect
51. #14583578C22semidirect
52. #14583578C22semidirect
53. #14583576C22semidirect
54. #14583576C22semidirect
55. #14583575C22semidirect
56. #14583575C22semidirect
57. #14583575C22semidirect
58. #14583575C22semidirect
59. #14583575C22semidirect
60. #14583574C22semidirect
61. #14583573C22semidirect
62. #14583573C22semidirect
63. #14583572C22semidirect
64. #14583572C22semidirect
65. #14583572C22semidirect
66. D4×Dic86C22semidirect
67. D4×Dic86C22semidirect
68. #14583562C22semidirect
69. #14583562C22semidirect
70. #14583559C22semidirect
71. #14583558C22semidirect
72. #14583558C22semidirect
73. #14583558C22semidirect
74. #14583557C22semidirect
75. #14583555C22semidirect
76. #14583555C22semidirect
77. #14583555C22semidirect
78. #14583544C22semidirect
79. #14583544C22semidirect
80. #14583543C22semidirect
81. #14583543C22semidirect
82. #14583541C22semidirect
83. #14583541C22semidirect
84. #14583541C22semidirect
85. #14583539C22semidirect
86. #14583539C22semidirect
87. #14583539C22semidirect
88. #14583539C22semidirect
89. #14583539C22semidirect
90. #14583538C22semidirect
91. #14583538C22semidirect
92. #14583538C22semidirect
93. #14583537C22semidirect
94. #14583537C22semidirect
95. #14583536C22semidirect
96. #14583536C22semidirect
97. #14583536C22semidirect
98. #14583536C22semidirect
99. #14583536C22semidirect
100. D4×C22⋊D43C22semidirect
101. D4×C22⋊D43C22semidirect
102. #14583531C22semidirect
103. #14583531C22semidirect
104. #14583525C22semidirect
105. #14583525C22semidirect
106. #14583524C22semidirect
107. #14583524C22semidirect
108. #14583522C22semidirect
109. #14583520C22semidirect
110. #14583519C22semidirect
111. #14583519C22semidirect
112. #14583518C22semidirect
113. #14583517C22semidirect
114. #14583517C22semidirect
115. #14583515C22semidirect
116. #14583515C22semidirect
117. #14583514C22semidirect
118. #14583513C22semidirect
119. #14583513C22semidirect
120. #14583489C22semidirect
121. #14583489C22semidirect
122. #14583488C22semidirect
123. #14583487C22semidirect
124. #14583487C22semidirect
125. #14583487C22semidirect
126. #14583486C22semidirect
127. #14583486C22semidirect
128. #14583486C22semidirect
129. #14583485C22semidirect
130. #14583485C22semidirect
131. #14583484C22semidirect
132. #14583484C22semidirect
133. #14583484C22semidirect
134. #14583482C22semidirect
135. #14583482C22semidirect
136. #14583482C22semidirect
137. #14583481C22semidirect
138. #14583475C22semidirect
139. #14583472C22semidirect
140. #14583471C22semidirect
141. #14583471C22semidirect
142. #14583471C22semidirect
143. #14583470C22semidirect
144. #14583465C22semidirect
146. #14583464C22semidirect
147. #14583461C22semidirect
148. #14583461C22semidirect
149. #14583459C22semidirect
150. #14583458C22semidirect
151. #14583458C22semidirect
152. #14583457C22semidirect
153. #14583457C22semidirect
154. #14583452C22semidirect
155. #14583451C22semidirect
156. #14583451C22semidirect
157. #14583446C22semidirect
158. #14583445C22semidirect
159. #14583444C22semidirect
160. #14583444C22semidirect
161. #14583444C22semidirect
162. #14583435C22semidirect
163. #14583435C22semidirect
164. #14583432C22semidirect
165. #14583430C22semidirect
166. #14583430C22semidirect
167. #14583429C22semidirect
168. #14583429C22semidirect
169. #14583429C22semidirect
170. #14583427C22semidirect
171. #14583426C22semidirect
172. #14583426C22semidirect
173. #14583426C22semidirect
174. C2×#13063311C22semidirect
175. C2×#13063311C22semidirect
176. C2×#13063311C22semidirect
177. C2×#13063311C22semidirect
178. C2×#13063311C22semidirect
179. C2×#13063311C22semidirect
180. C2×#13063311C22semidirect
181. C2×#13063311C22semidirect
182. C2×#13063311C22semidirect
183. #124×D43C22semidirect
184. #14583410C22semidirect
185. #14583410C22semidirect
186. #14583405C22semidirect
187. #14583405C22semidirect
188. #14583405C22semidirect
189. C2×#13063294C22semidirect
190. #120×D43C22semidirect
191. #14583376C22semidirect
192. #14583374C22semidirect
193. #14583372C22semidirect
194. #14583372C22semidirect
195. #14583372C22semidirect
196. #14583371C22semidirect
197. #14583371C22semidirect
198. #41×Dic43C22semidirect
199. #14583367C22semidirect
200. C4×#10621900C22semidirect
201. C4×#10621900C22semidirect
202. C22×C22⋊Dic43C22semidirect
203. C22×(C2×D43)⋊C4C22semidirect
204. C22×(C2×D43)⋊C4C22semidirect
205. C22×C4×Dic43C22semidirect
206. C43×#551C22semidirect
207. C43×#551C22semidirect
208. C43×#546C22semidirect
209. C43×#546C22semidirect
210. C43×#543C22semidirect
211. C43×#538C22semidirect
212. C43×#538C22semidirect
213. C43×#534C22semidirect
214. C43×#525C22semidirect
215. C43×#525C22semidirect
216. C2×#120×C43C22semidirect
217. C43×#518C22semidirect
218. C22×C22⋊C4×C43C22semidirect
225. C2×#10621898C23semidirect
230. C2×#10621900C23semidirect
237. C22×Dic86C23semidirect
238. C2×Q8×D43C23semidirect
256. #13063325C23semidirect
257. #13063324C23semidirect
258. #13063324C23semidirect
259. #13063324C23semidirect
260. #13063324C23semidirect
261. #13063324C23semidirect
262. #13063324C23semidirect
263. #13063323C23semidirect
264. #13063323C23semidirect
267. #13063321C23semidirect
268. #13063320C23semidirect
269. #13063320C23semidirect
270. #13063320C23semidirect
271. #13063320C23semidirect
272. #13063320C23semidirect
273. #13063320C23semidirect
274. #13063320C23semidirect
275. #13063320C23semidirect
276. #13063319C23semidirect
277. #13063319C23semidirect
278. #13063318C23semidirect
279. #13063318C23semidirect
280. #13063318C23semidirect
281. #13063318C23semidirect
282. #13063318C23semidirect
283. #13063318C23semidirect
284. #13063318C23semidirect
285. #13063318C23semidirect
286. #13063316C23semidirect
287. #13063316C23semidirect
288. #13063315C23semidirect
289. #13063315C23semidirect
290. #13063314C23semidirect
291. #13063314C23semidirect
292. #13063314C23semidirect
293. #13063313C23semidirect
294. #13063313C23semidirect
295. #13063313C23semidirect
296. #13063312C23semidirect
297. #13063312C23semidirect
298. #13063312C23semidirect
299. #13063312C23semidirect
318. #13063311C23semidirect
319. #13063311C23semidirect
320. #13063311C23semidirect
321. #13063311C23semidirect
322. #13063311C23semidirect
323. #13063311C23semidirect
324. #13063311C23semidirect
325. #13063311C23semidirect
326. #13063311C23semidirect
327. #13063311C23semidirect
328. #13063311C23semidirect
329. #13063311C23semidirect
330. #13063311C23semidirect
331. #13063311C23semidirect
332. #13063310C23semidirect
333. #13063310C23semidirect
334. #13063310C23semidirect
335. #13063310C23semidirect
336. #13063310C23semidirect
337. #13063310C23semidirect
342. #13063309C23semidirect
343. #13063309C23semidirect
344. #13063309C23semidirect
348. #13063308C23semidirect
349. #13063308C23semidirect
350. #13063308C23semidirect
353. #13063307C23semidirect
354. #13063307C23semidirect
355. #13063307C23semidirect
356. #13063307C23semidirect
357. #13063307C23semidirect
358. #13063307C23semidirect
362. #13063306C23semidirect
363. #13063306C23semidirect
364. #13063306C23semidirect
365. #13063305C23semidirect
366. #13063305C23semidirect
367. #13063305C23semidirect
368. #13063305C23semidirect
373. #13063304C23semidirect
374. #13063304C23semidirect
375. #13063304C23semidirect
376. #13063304C23semidirect
377. #13063303C23semidirect
378. #13063303C23semidirect
379. #13063303C23semidirect
380. #13063303C23semidirect
381. #13063303C23semidirect
382. #13063303C23semidirect
383. #13063303C23semidirect
384. #13063303C23semidirect
391. #13063302C23semidirect
392. #13063302C23semidirect
393. #13063302C23semidirect
394. #13063302C23semidirect
395. #13063302C23semidirect
396. #13063302C23semidirect
397. #13063302C23semidirect
398. #13063302C23semidirect
399. #13063301C23semidirect
400. #13063301C23semidirect
401. #13063300C23semidirect
402. #13063300C23semidirect
409. #13063299C23semidirect
410. #13063299C23semidirect
415. #13063298C23semidirect
416. #13063298C23semidirect
417. #13063298C23semidirect
418. #13063298C23semidirect
429. #13063297C23semidirect
430. #13063297C23semidirect
431. #13063297C23semidirect
432. #13063297C23semidirect
435. #13063296C23semidirect
436. #13063296C23semidirect
441. #13063295C23semidirect
442. #13063295C23semidirect
443. #13063295C23semidirect
449. #13063294C23semidirect
455. #13063293C23semidirect
456. #13063293C23semidirect
457. #13063293C23semidirect
458. Q8×Dic43C23semidirect
459. Q8×Dic43C23semidirect
460. C4×Dic86C23semidirect
461. C4×Dic86C23semidirect
462. C4×Dic86C23semidirect
463. C4×Dic86C23semidirect
464. #13063290C23semidirect
465. #13063290C23semidirect
466. #13063290C23semidirect
467. #13063290C23semidirect
468. #13063290C23semidirect
469. #13063290C23semidirect
470. C4×D172C23semidirect
471. C4×D172C23semidirect
478. D4×Dic43C23semidirect
479. D4×Dic43C23semidirect
480. D4×Dic43C23semidirect
481. D4×Dic43C23semidirect
482. #13063287C23semidirect
483. #13063287C23semidirect
484. #13063287C23semidirect
485. #13063287C23semidirect
492. C4×C22⋊D43C23semidirect
493. C4×C22⋊D43C23semidirect
494. C4×C22⋊D43C23semidirect
495. C4×C22⋊D43C23semidirect
496. C4×C22⋊D43C23semidirect
497. C4×C22⋊D43C23semidirect
506. (C22⋊D43)⋊C4C23semidirect
507. (C22⋊D43)⋊C4C23semidirect
508. (C22⋊D43)⋊C4C23semidirect
509. (C22⋊D43)⋊C4C23semidirect
510. (C22⋊D43)⋊C4C23semidirect
511. (C22⋊D43)⋊C4C23semidirect
514. #13063284C23semidirect
515. #13063284C23semidirect
516. #13063283C23semidirect
517. #13063283C23semidirect
518. #13063283C23semidirect
519. #13063283C23semidirect
520. #13063282C23semidirect
521. #13063282C23semidirect
522. #13063282C23semidirect
526. #13063281C23semidirect
527. #13063281C23semidirect
528. #13063281C23semidirect
529. #13063281C23semidirect
538. C2×C22⋊Dic43C23semidirect
548. C2×(C2×D43)⋊C4C23semidirect
549. C2×(C2×D43)⋊C4C23semidirect
553. C22⋊C4×D43C23semidirect
554. C22⋊C4×D43C23semidirect
555. C22⋊C4×D43C23semidirect
556. C22⋊C4×D43C23semidirect
563. C2×C4×Dic43C23semidirect
564. C42×D43C23semidirect
573. #126×C43C23semidirect
574. #126×C43C23semidirect
575. #124×C43C23semidirect
576. #124×C43C23semidirect
579. #123×C43C23semidirect
580. #123×C43C23semidirect
581. #123×C43C23semidirect
586. C22⋊Q8×C43C23semidirect
587. C22⋊Q8×C43C23semidirect
592. #121×C43C23semidirect
593. #121×C43C23semidirect
598. #120×C43C23semidirect
603. C4×D4×C43C23semidirect
604. C4×D4×C43C23semidirect
607. #117×C43C23semidirect
617. C2×C22⋊C4×C43C23semidirect
1064. #3490D43semidirect
1122. #551C2×D43semidirect
1123. #551C2×D43semidirect
1158. #546C2×D43semidirect
1159. #546C2×D43semidirect
1168. #543C2×D43semidirect
1199. #538C2×D43semidirect
1200. #538C2×D43semidirect
1217. #534C2×D43semidirect
1253. #525C2×D43semidirect
1254. #525C2×D43semidirect
1257. C2×#120C2×D43semidirect
1265. #518C2×D43semidirect
1273. C22×C22⋊C4C2×D43semidirect
1275. C43#62824semidirect
1351. #126C22×D43semidirect
1352. #126C22×D43semidirect
1399. #124C22×D43semidirect
1400. #124C22×D43semidirect
1436. #123C22×D43semidirect
1437. #123C22×D43semidirect
1438. #123C22×D43semidirect
1479. C22⋊Q8C22×D43semidirect
1480. C22⋊Q8C22×D43semidirect
1521. #121C22×D43semidirect
1522. #121C22×D43semidirect
1548. #120C22×D43semidirect
1607. C4×D4C22×D43semidirect
1608. C4×D4C22×D43semidirect
1629. #117C22×D43semidirect
1666. C2×C22⋊C4C22×D43semidirect

Maximal subgroups

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

subgroupindex
#191491622
#191491552
#191491532
#191491162
#191491072
#191491052
#191489512
#191489422
#191485482
#191485462
#191485452
#191485432
#191484832
#191483812
#191482842
#191482822
#191482782
#191482422
#191482242
#191478872
C22×#130633112
C43×#34902
#6282443