Finite Group Databasebeta

← #26005183

Subgroups — #26005183

Order 11008.

7210 conjugacy classes of subgroups.

The subgroup lattice has 1498 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148518C212yesmaximal, complemented
2#19148514C212yesmaximal, complemented
3#19148500C214yesmaximal, complemented
4#19148487C214yesmaximal, complemented
5#19148477C212yesmaximal, complemented
6#19148467C212yesmaximal, complemented
7#19148455C214yesmaximal, complemented
8#19148442C214yesmaximal, complemented
9#19148433C214yesmaximal, complemented
10#19148427C214yesmaximal, complemented
11#19148186C218yesmaximal, complemented
12#19148147C218yesmaximal, complemented
13#19147987C211yesmaximal, characteristic, complemented
14#19147985C211yesmaximal, characteristic, complemented
15#19147984C211yesmaximal, characteristic, complemented
16#19147925C212yesmaximal, complemented
17#19147888C212yesmaximal, complemented
18#19147887C212yesmaximal, complemented
19#533×D43C211yesmaximal, characteristic, complemented
20#532×D43C211yesmaximal, characteristic, complemented
21#19147794C212yesmaximal, complemented
22C2×#14583367C211yesmaximal, characteristic, complemented
23C43×#3455C211yesmaximal, characteristic, complemented
24C22×#10621898C2211yescharacteristic
25C2×#41×D43C2212yes—
26#14583633C2218yescomplemented
27#14583633C2218yescomplemented
28#14583631C2218yescomplemented
29#14583626C2218yescomplemented
30#14583620C2218yescomplemented
31#14583616C2218yescomplemented
32#14583616C2218yescomplemented
33#14583616C2218yescomplemented
34#14583611C2218yescomplemented
35#14583603C2218yescomplemented
36#14583602C2218yescomplemented
37#14583600C2218yescomplemented
38#14583600C2218yescomplemented
39#14583600C2218yescomplemented
40#14583596C2218yescomplemented
41#14583594C2218yescomplemented
42#14583594C2218yescomplemented
43#14583592C2218yescomplemented
44#14583586C2218yescomplemented
45#14583585C2218yescomplemented
46#14583581C2218yescomplemented
47#14583581C2218yescomplemented
48#14583579C2218yescomplemented
49#14583576C2218yescomplemented
50#14583574C2218yescomplemented
51#14583572C2218yescomplemented
52#14583567C2218yescomplemented
53#14583559C2218yescomplemented
54#14583557C2218yescomplemented
55#14583547C2218yescomplemented
56#14583541C2218yescomplemented
57#14583538C2218yescomplemented
58#14583523C2214yescomplemented
59#14583520C2214yescomplemented
60#14583518C2214yescomplemented
61#14583512C2212yescomplemented
62#14583511C2212yescomplemented
63#14583510C2212yescomplemented
64#14583505C2212yescomplemented
65#14583504C2212yescomplemented
66#14583503C2212yescomplemented
67#14583498C2214yescomplemented
68#14583496C2214yescomplemented
69#14583494C2214yescomplemented
70#14583489C2214yescomplemented
71#14583487C2214yescomplemented
72#14583486C2214yescomplemented
73#14583479C2214yescomplemented
74#14583478C2214yescomplemented
75#14583472C2214yes—
76#14583471C2214yescomplemented
77#14583465C2214yes—
78#14583464C2214yescomplemented
79#14583460C2214yes—
80#14583459C2214yes—
81#14583456C2211yescharacteristic, complemented
82#14583455C2212yescomplemented
83#14583454C2212yescomplemented
84#14583453C2214yescomplemented
85#14583453C2214yescomplemented
86#14583452C2212yescomplemented
87#14583451C2214yescomplemented
88#14583451C2214yescomplemented
89#14583450C2211yescharacteristic, complemented
90#14583449C2211yescharacteristic
91#14583448C2212yescomplemented
92#14583447C2211yescharacteristic, complemented
93#14583446C2214yescomplemented
94#14583446C2214yescomplemented
95#14583446C2218yescomplemented
96#14583445C2212yes—
97#14583444C2214yes—
98#14583444C2214yescomplemented
99C4⋊Q8×D43C2211yescharacteristic, complemented
100C4⋊Q8×D43C2212yescomplemented
101#127×D43C2211yescharacteristic, complemented
102#14583436C2214yescomplemented
103#14583436C2218yescomplemented
104#14583435C2214yescomplemented
105#14583431C2214yescomplemented
106#14583430C2214yescomplemented
107#14583429C2218yescomplemented
108#14583429C2218yescomplemented
109#14583429C2218yescomplemented
110#14583427C2218yescomplemented
111#14583427C2218yescomplemented
112#14583426C2218yescomplemented
113#125×D43C2212yescomplemented
114#124×D43C2212yescomplemented
115#14583411C2212yescomplemented
116#14583410C2212yescomplemented
117#14583408C2218yes—
118#14583408C2218yescomplemented
119#14583406C2212yescomplemented
120#14583405C2218yescomplemented
121C22⋊Q8×D43C2214yes—
122#121×D43C2214yes—
123#14583381C2214yescomplemented
124#14583378C2218yescomplemented
125#14583378C2214yescomplemented
126#14583375C2214yescomplemented
127#14583371C2218yes—
128#14583371C2214yescomplemented
129#41×Dic43C2212yescomplemented
130C4×#10621898C2212yescomplemented
131C4×#10621898C2214yescomplemented
132C4×#10621898C2218yescomplemented
133#14583367C2214yes—
134#14583367C2212yes—
135#14583367C2212yes—
136#14583367C2212yescomplemented
137#14583367C2214yescomplemented
138#14583367C2214yescomplemented
139#14583367C2212yescomplemented
140#14583367C2212yescomplemented
141C4×#10621900C2218yescomplemented
142C2×#13063290C2212yescomplemented
143C4×Q8×D43C2214yescomplemented
144C2×#13063287C2212yes—
145C2×(C22⋊D43)⋊C4C2212yes—
146C2×(C22⋊D43)⋊C4C2212yescomplemented
147C4×D4×D43C2214yescomplemented
148C2×#13063282C2211yescharacteristic
149C2×#13063282C2214yescomplemented
150C2×#13063282C2211yescharacteristic, complemented
151#117×D43C2212yes—
152#117×D43C2214yescomplemented
153C22×C4×Dic43C2211yescharacteristic, complemented
154C2×C42×D43C2211yescharacteristic
155C2×C42×D43C2211yescharacteristic, complemented
156C43×#542C2214yescomplemented
157C43×#541C2212yescomplemented
158C43×#540C2212yescomplemented
159C43×#539C2214yescomplemented
160C43×#538C2214yescomplemented
161C43×#533C2211yescharacteristic, complemented
162C43×#532C2211yescharacteristic
163C43×#529C2218yescomplemented
164C43×#525C2212yescomplemented
165C4×#41×C43C2212yescomplemented
166C2×#117×C43C2211yescharacteristic, complemented
167C2×#10621902C2312yes—
168C2×#10621898—28no—
169C2×#10621898C2312yes—
170C2×#10621898C2312yes—
171C2×#10621898C2312yes—
172C2×#10621898C2312yes—
173C2×#10621898C2312yes—
174C2×#10621898C2314yes—
175C2×#10621898C2318yes—
176C2×#10621900C2314yes—
177C2×#10621900C2312yes—
178C2×#10621900C2318yes—
179#41×D43—216no—
180C22×Dic86C2311yescharacteristic
181C2×Q8×D43C2312yes—
182C2×Q8×D43C2314yes—
183C22×D172C2311yescharacteristic
184C22×C22⋊D43C2311yescharacteristic
185C22×C22⋊D43C2311yescharacteristic
186C2×D4×D43C2314yes—
187C2×D4×D43C2312yes—
188C2×D4×D43C2314yes—
189C23×Dic43C2312yes—
190C22×C4×D43C2311yescharacteristic
191C22×C4×D43C2314yes—
192C22×C4×D43C2312yes—
193C22×C4×D43C2312yes—
194C22×C4×D43C2311yescharacteristic
195#13063325C2311yescharacteristic
196#13063325C2312yes—
197#13063324C2314yes—
198#13063324C2314yes—
199#13063324C2318yes—
200#13063324C2314yes—
201#13063323C2314yes—
202#13063323C2312yes—
203#13063322C2311yescharacteristic
204#13063321C2318yes—
205#13063321C2314yes—
206#13063321C2312yes—
207#13063320C2318yes—
208#13063320C2318yes—
209#13063320C2318yes—
210#13063320C2318yes—
211#13063320C2318yes—
212#13063320C2318yes—
213#13063318C2318yes—
214#13063318C2318yes—
215#13063318C2318yes—
216#13063318C2318yes—
217#13063317C2312yes—
218#13063316C2318yes—
219#13063316C2314yes—
220#13063315C2318yes—
221#13063315C2318yes—
222#13063315C2318yes—
223#13063315C2318yes—
224#13063315C2318yes—
225#13063314C2318yes—
226#13063314C2312yes—
227#13063313C2312yes—
228#13063312C2312yes—
229#13063311C2318yes—
230#13063311C2318yes—
231#13063311C2318yes—
232#13063311C2318yes—
233#13063311C2318yes—
234#13063311C2318yes—
235#13063311C2318yes—
236#13063310C2318yes—
237#13063310C2318yes—
238#13063310C2318yes—
239#13063310C2318yes—
240#13063310C2318yes—
241#13063309C2318yes—
242#13063309C2318yes—
243#13063309C2314yes—
244#13063308C2314yes—
245#13063307C2318yes—
246#13063307C2318yes—
247#13063307C2318yes—
248#13063306C2318yes—
249#13063306C2318yes—
250#13063306C2314yes—
251#13063305C2314yes—
252#13063305C2314yes—
253#13063304C2314yes—
254#13063304C2314yes—
255#13063303C2318yes—
256#13063303C2318yes—
257#13063303C2318yes—
258#13063303C2318yes—
259#13063302C2318yes—
260#13063302C2318yes—
261#13063302C2318yes—
262#13063302C2318yes—
263#13063301C2318yes—
264#13063301C2314yes—
265#13063301C2314yes—
266#13063300C2318yes—
267#13063300C2318yes—
268#13063300C2314yes—
269#13063300C2314yes—
270#13063299C2314yes—
271#13063299C2314yes—
272#13063298C2318yes—
273#13063298C2318yes—
274#13063298C2318yes—
275#13063298C2318yes—
276#13063298C2318yes—
277#13063298C2318yes—
278#13063297C2318yes—
279#13063297C2318yes—
280#13063297C2318yes—
281#13063297C2318yes—
282#13063296C2318yes—
283#13063296C2314yes—
284#13063296C2314yes—
285#13063295C2318yes—
286#13063295C2314yes—
287#13063294C2314yes—
288#13063293C2318yes—
289#13063293C2314yes—
290Q8×Dic43C2314yes—
291Q8×Dic43C2314yes—
292C4×Dic86C2318yes—
293C4×Dic86C2318yes—
294C4×Dic86C2318yes—
295C4×Dic86C2314yes—
296C4×Dic86C2314yes—
297#13063290C2318yes—
298#13063290C2318yes—
299#13063290C2314yes—
300#13063290C2314yes—
301#13063290C2314yes—
302#13063290C2314yes—
303#13063290C2318yes—
304#13063290C2314yes—
305#13063290C2314yes—
306C4×D172C2318yes—
307C4×D172C2318yes—
308C4×D172C2314yes—
309C4×D172C2314yes—
310C4×D172C2318yes—
311D4×Dic43C2318yes—
312D4×Dic43C2314yes—
313D4×Dic43C2318yes—
314D4×Dic43C2314yes—
315#13063287C2314yes—
316#13063287C2318yes—
317#13063287C2314yes—
318#13063287C2314yes—
319#13063287C2314yes—
320#13063287C2314yes—
321#13063287C2314yes—
322C4×C22⋊D43C2318yes—
323C4×C22⋊D43C2318yes—
324C4×C22⋊D43C2318yes—
325C4×C22⋊D43C2318yes—
326C4×C22⋊D43C2318yes—
327C4×C22⋊D43C2318yes—
328C4×C22⋊D43C2318yes—
329C4×C22⋊D43C2318yes—
330(C22⋊D43)⋊C4C2314yes—
331(C22⋊D43)⋊C4C2318yes—
332(C22⋊D43)⋊C4C2314yes—
333(C22⋊D43)⋊C4C2318yes—
334(C22⋊D43)⋊C4C2314yes—
335(C22⋊D43)⋊C4C2318yes—
336(C22⋊D43)⋊C4C2314yes—
337(C22⋊D43)⋊C4C2314yes—
338(C22⋊D43)⋊C4C2314yes—
339(C22⋊D43)⋊C4C2318yes—
340(C22⋊D43)⋊C4C2318yes—
341(C22⋊D43)⋊C4C2314yes—
342(C22⋊D43)⋊C4C2314yes—
343(C22⋊D43)⋊C4C2318yes—
344#13063284C2318yes—
345#13063284C2312yes—
346#13063284C2314yes—
347#13063283C2318yes—
348#13063283C2318yes—
349#13063283C2314yes—
350#13063282C2318yes—
351#13063282C2318yes—
352#13063282C2318yes—
353#13063282C2318yes—
354#13063282C2314yes—
355#13063282C2312yes—
356#13063282C2312yes—
357#13063282C2312yes—
358#13063282C2312yes—
359#13063282C2314yes—
360#13063282C2312yes—
361#13063282C2312yes—
362#13063282C2314yes—
363#13063282C2314yes—
364#13063281C2318yes—
365#13063281C2318yes—
366#13063281C2318yes—
367#13063281C2314yes—
368C2×Dic43⋊C4C2318yes—
369C2×Dic43⋊C4C2312yes—
370C2×Dic43⋊C4C2312yes—
371C4⋊C4×D43C2314yes—
372C4⋊C4×D43C2318yes—
373C4⋊C4×D43C2314yes—
374C4⋊C4×D43C2318yes—
375C4⋊C4×D43C2314yes—
376C2×(C2×D43)⋊C4C2318yes—
377C2×(C2×D43)⋊C4C2312yes—
378C2×(C2×D43)⋊C4C2312yes—
379C22⋊C4×D43C2318yes—
380C22⋊C4×D43C2318yes—
381C22⋊C4×D43C2314yes—
382C2×C4×Dic43C2311yescharacteristic
383C2×C4×Dic43C2312yes—
384C2×C4×Dic43C2312yes—
385C2×C4×Dic43C2311yescharacteristic
386C2×C4×Dic43C2312yes—
387C2×C4×Dic43C2314yes—
388C2×C4×Dic43C2312yes—
389C2×C4×Dic43C2312yes—
390C2×C4×Dic43C2314yes—
391C42×D43C2312yes—
392C42×D43C2312yes—
393C42×D43C2311yescharacteristic
394C42×D43C2311yescharacteristic
395C42×D43C2311yescharacteristic
396C42×D43C2311yescharacteristic
397C42×D43C2314yes—
398C42×D43C2312yes—
399C42×D43C2312yes—
400C42×D43C2314yes—
401C42×D43C2314yes—
402C42×D43C2314yes—
403C2×#41×C43C2312yes—
404C23×C4×C43C2311yescharacteristic
405C4⋊Q8×C43C2311yescharacteristic
406C4⋊Q8×C43C2312yes—
407#127×C43C2311yescharacteristic
408#126×C43C2318yes—
409#126×C43C2318yes—
410#125×C43C2318yes—
411#125×C43C2312yes—
412#124×C43C2318yes—
413#124×C43C2312yes—
414#123×C43C2318yes—
415#123×C43C2314yes—
416#123×C43C2318yes—
417C22⋊Q8×C43C2318yes—
418C22⋊Q8×C43C2314yes—
419C22⋊Q8×C43C2314yes—
420#121×C43C2318yes—
421#121×C43C2314yes—
422#121×C43C2314yes—
423#120×C43C2314yes—
424C4×Q8×C43C2314yes—
425C4×Q8×C43C2314yes—
426C4×D4×C43C2318yes—
427C4×D4×C43C2314yes—
428C4×D4×C43C2318yes—
429C4×D4×C43C2314yes—
430#117×C43C2314yes—
431#117×C43C2312yes—
432#117×C43C2312yes—
433#117×C43C2312yes—
434#117×C43C2314yes—
435C2×C4⋊C4×C43C2312yes—
436C2×C22⋊C4×C43C2312yes—
437C2×C42×C43C2311yescharacteristic
438C2×C42×C43C2311yescharacteristic
439C2×C42×C43C2314yes—
440C24×C43C2411yescharacteristic
441C23×D43C2414yes—
442C23×D43C2411yescharacteristic
443C23×D43C2411yescharacteristic
444#41×C43—28no—
445C2×Q8×C43C2412yes—
446C2×Q8×C43C2414yes—
447C2×D4×C43C2414yes—
448C2×D4×C43C2412yes—
449C2×D4×C43C2418yes—
450C2×D4×C43C2414yes—
451C22×C4×C43—24no—
452C22×C4×C43C2414yes—
453C22×C4×C43C2411yescharacteristic
454C22×C4×C43C2412yes—
455C22×C4×C43C2412yes—
456C22×C4×C43C2412yes—
457C22×C4×C43C2412yes—
458C22×C4×C43C2418yes—
459C22×C4×C43C2411yescharacteristic
460C2×C22⋊D43—24no—
461C2×C22⋊D43—24no—
462C2×C22⋊D43C2412yes—
463C2×C22⋊D43C2412yes—
464C2×C22⋊D43C2412yes—
465C2×C22⋊D43C2412yes—
466C2×C22⋊D43C2414yes—
467C2×C22⋊D43C2414yes—
468C2×C22⋊D43C2418yes—
469C2×C22⋊D43C2414yes—
470C2×C22⋊D43C2418yes—
471C2×C22⋊D43C2418yes—
472C22×Dic43—44no—
473C22×Dic43C2412yes—
474C22×Dic43C2411yescharacteristic
475C22×Dic43C2414yes—
476C22×Dic43C2414yes—
477C22×Dic43C2412yes—
478C22×Dic43C2414yes—
479C22×Dic43C2418yes—
480C22×Dic43C2411yescharacteristic
481#10621902—28no—
482Q8×D43—28no—
483Q8×D43—48no—
484#10621900—216no—
485#10621900—28no—
486#10621900—416no—
487D4×D43—28no—
488D4×D43—216no—
489D4×D43—48no—
490#10621898—28no—
491#10621898—216no—
492#10621898—28no—
493#10621898—28no—
494#10621898—28no—
495#10621898—28no—
496#10621898—416no—
497C2×D172—24no—
498C2×D172C2412yes—
499C2×D172C2412yes—
500C2×D172C2414yes—
501C2×D172C2412yes—
502C2×D172C2414yes—
503C2×D172C2418yes—
504C2×C4×D43—24no—
505C2×C4×D43—216no—
506C2×C4×D43—44no—
507C2×C4×D43—44no—
508C2×C4×D43#4118yescomplemented
509C2×C4×D43C2412yes—
510C2×C4×D43C2412yes—
511C2×C4×D43C2414yes—
512C2×C4×D43C2412yes—
513C2×C4×D43C2414yes—
514C2×C4×D43C2412yes—
515C2×C4×D43C2414yes—
516C2×C4×D43C2414yes—
517C2×C4×D43C2412yes—
518C2×C4×D43C2412yes—
519C2×C4×D43C2414yes—
520C2×C4×D43C2418yes—
521C2×C4×D43C2418yes—
522C2×C4×D43C2418yes—
523C2×C4×D43C2411yescharacteristic
524C2×C4×D43C2411yescharacteristic
525C2×C4×D43C2411yescharacteristic
526C2×C4×D43C2411yescharacteristic
527C2×Dic86—24no—
528C2×Dic86C2412yes—
529C2×Dic86C2412yes—
530C2×Dic86C2418yes—
531C2×Dic86C2412yes—
532C2×Dic86C2414yes—
533C2×Dic86C2414yes—
534C4⋊C4×C43C2414yes—
535C4⋊C4×C43C2414yes—
536C4⋊C4×C43C2414yes—
537C4⋊C4×C43C2418yes—
538C4⋊C4×C43C2414yes—
539C4⋊C4×C43C2418yes—
540C4⋊C4×C43C2418yes—
541C4⋊C4×C43C2414yes—
542C22⋊C4×C43C2414yes—
543C22⋊C4×C43C2414yes—
544C22⋊C4×C43C2414yes—
545C22⋊C4×C43C2418yes—
546C22⋊C4×C43C2418yes—
547C22⋊C4×C43C2418yes—
548C22⋊C4×C43C2418yes—
549C42×C43C2412yes—
550C42×C43C2412yes—
551C42×C43C2412yes—
552C42×C43C2414yes—
553C42×C43C2411yescharacteristic
554C42×C43C2411yescharacteristic
555C42×C43C2418yes—
556C22⋊Dic43C2414yes—
557C22⋊Dic43C2418yes—
558C22⋊Dic43C2418yes—
559C22⋊Dic43C2418yes—
560C22⋊Dic43C2418yes—
561(C2×D43)⋊C4C2414yes—
562(C2×D43)⋊C4C2418yes—
563(C2×D43)⋊C4C2418yes—
564(C2×D43)⋊C4C2418yes—
565(C2×D43)⋊C4C2414yes—
566(C2×D43)⋊C4C2414yes—
567(C2×D43)⋊C4C2418yes—
568(C2×D43)⋊C4C2414yes—
569(C2×D43)⋊C4C2418yes—
570(C2×D43)⋊C4C2418yes—
571(C2×D43)⋊C4C2418yes—
572(C2×D43)⋊C4C2418yes—
573(C2×D43)⋊C4C2418yes—
574C4⋊Dic43C2414yes—
575C4⋊Dic43C2418yes—
576C4⋊Dic43C2418yes—
577C4⋊Dic43C2414yes—
578C4⋊Dic43C2414yes—
579C4⋊Dic43C2418yes—
580Dic43⋊C4C2414yes—
581Dic43⋊C4C2418yes—
582Dic43⋊C4C2418yes—
583Dic43⋊C4C2418yes—
584Dic43⋊C4C2418yes—
585Dic43⋊C4C2418yes—
586Dic43⋊C4C2414yes—
587Dic43⋊C4C2414yes—
588Dic43⋊C4C2418yes—
589Dic43⋊C4C2414yes—
590Dic43⋊C4C2418yes—
591Dic43⋊C4C2418yes—
592Dic43⋊C4C2418yes—
593C4×Dic43C2412yes—
594C4×Dic43C2411yescharacteristic
595C4×Dic43C2411yescharacteristic
596C4×Dic43C2412yes—
597C4×Dic43C2414yes—
598C4×Dic43C2414yes—
599C4×Dic43C2412yes—
600C4×Dic43C2414yes—
601C4×Dic43C2412yes—
602C4×Dic43C2412yes—
603C4×Dic43C2412yes—
604C4×Dic43C2418yes—
605C4×Dic43C2418yes—
606C4×Dic43C2418yes—
607C4×Dic43C2414yes—
608C4×Dic43C2412yes—
609C4×Dic43C2414yes—
610C4×Dic43C2418yes—
611C23×C43—22no—
612C23×C43—42no—
613C23×C43C2514yes—
614C23×C43C2512yes—
615C23×C43C2511yescharacteristic
616C22×D43—22no—
617C22×D43—28no—
618C22×D43—42no—
619C22×D43—42no—
620C22×D43—48no—
621C22×D43C2×#4114yes—
622C22×D43C2512yes—
623C22×D43C2514yes—
624C22×D43C2511yescharacteristic
625C22×D43C2511yescharacteristic
626Q8×C43—24no—
627Q8×C43—44no—
628D4×C43—28no—
629D4×C43—24no—
630D4×C43—44no—
631D4×C43—48no—
632C2×C4×C43—22no—
633C2×C4×C43—28no—
634C2×C4×C43—24no—
635C2×C4×C43—24no—
636C2×C4×C43—42no—
637C2×C4×C43—42no—
638C2×C4×C43—48no—
639C2×C4×C43C2×#4114yes—
640C2×C4×C43C2514yes—
641C2×C4×C43C2512yes—
642C2×C4×C43C2512yes—
643C2×C4×C43C2514yes—
644C2×C4×C43C2518yes—
645C2×C4×C43C2512yes—
646C2×C4×C43C2511yescharacteristic
647C2×C4×C43C2511yescharacteristic
648C22⋊D43—28no—
649C22⋊D43—24no—
650C22⋊D43—24no—
651C22⋊D43—28no—
652C22⋊D43—24no—
653C22⋊D43—24no—
654C22⋊D43—28no—
655C22⋊D43—216no—
656C22⋊D43—48no—
657C22⋊D43—48no—
658C2×Dic43—22no—
659C2×Dic43—28no—
660C2×Dic43—24no—
661C2×Dic43—28no—
662C2×Dic43—48no—
663C2×Dic43—44no—
664C2×Dic43—42no—
665C2×Dic43C2×#4114yes—
666C2×Dic43C2514yes—
667C2×Dic43C2512yes—
668C2×Dic43C2512yes—
669C2×Dic43C2514yes—
670C2×Dic43C2518yes—
671C2×Dic43C2511yescharacteristic
672C2×Dic43C2511yescharacteristic
673C2×Dic43C2512yes—
674D172—24no—
675D172—24no—
676D172—28no—
677D172—24no—
678D172—48no—
679D172—44no—
680C4×D43—28no—
681C4×D43—24no—
682C4×D43—24no—
683C4×D43—28no—
684C4×D43—28no—
685C4×D43—28no—
686C4×D43—24no—
687C4×D43—24no—
688C4×D43—42no—
689C4×D43—44no—
690C4×D43—42no—
691C4×D43—48no—
692C4×D43—48no—
693C4×D43—48no—
694C4×D43C2×#4114yes—
695C4×D43C2×#4114yes—
696C4×D43C2×#4114yes—
697C4×D43C2×#4114yes—
698Dic86—24no—
699Dic86—24no—
700Dic86—24no—
701Dic86—28no—
702Dic86—216no—
703Dic86—44no—
704#62815—431nomaximal, Sylow
705C22×C43—22no—
706C22×C43—24no—
707C22×C43—22no—
708C22×C43—28no—
709C22×C43—24no—
710C22×C43—44no—
711C22×C43C22×#4112yes—
712C22×C43C2611yescharacteristic
713C2×D43—22no—
714C2×D43—22no—
715C2×D43—22no—
716C2×D43—24no—
717C2×D43—24no—
718C2×D43—28no—
719C2×D43—44no—
720C2×D43—44no—
721C2×D43—88no—
722C2×D43C22×#4112yes—
723C2×D43C22×#4112yes—
724C4×C43—22no—
725C4×C43—24no—
726C4×C43—28no—
727C4×C43—22no—
728C4×C43—24no—
729C4×C43—22no—
730C4×C43C22×#4112yes—
731C4×C43C22×#4112yes—
732Dic43—24no—
733Dic43—22no—
734Dic43—28no—
735Dic43—22no—
736Dic43—24no—
737Dic43C22×#4112yes—
738Dic43C22×#4112yes—
739Dic43#58514yes—
740#3512—432no—
741#3512—432no—
742#3511—434no—
743#3510—434no—
744#3509—432no—
745#3508—432no—
746#3507—434no—
747#3506—434no—
748#3505—434no—
749#3505—434no—
750#3480—438no—
751#3475—438no—
752#3455—431no—
753#3455—431no—
754#3455—431no—
755#3455D4311yescharacteristic, complemented
756#3449—432no—
757#3444—432no—
758#3444—432no—
759C2×#533—431no—
760C2×#532—431no—
761#3428—432no—
762C2×C4×#41—431no—
763C2×C43—22no—
764C2×C43—44no—
765C2×C43—42no—
766C2×C43C23×#4111yescharacteristic
767C2×C43C2×#58512yes—
768D43—22no—
769D43—22no—
770D43—42no—
771D43—44no—
772C22×#41—432no—
773C22×#41—431no—
774#559—438no—
775#559—438no—
776#559—438no—
777#557—438no—
778#556—438no—
779#556—438no—
780#556—438no—
781#556—438no—
782#555—438no—
783#554—438no—
784#553—438no—
785#553—438no—
786#553—438no—
787#553—438no—
788#553—438no—
789#553—438no—
790#553—438no—
791#553—438no—
792#552—438no—
793#552—438no—
794#552—438no—
795#552—438no—
796#551—438no—
797#551—438no—
798#551—438no—
799#551—438no—
800#550—438no—
801#548—438no—
802#548—438no—
803#547—438no—
804#546—438no—
805#546—438no—
806#542—434no—
807#542—434no—
808#542—434no—
809#542C2×D4314yescomplemented
810#541—432no—
811#541—432no—
812#541—432no—
813#541C2×D4312yescomplemented
814#540—432no—
815#540—432no—
816#540—432no—
817#540C2×D4312yescomplemented
818#539—434no—
819#539—434no—
820#539—434no—
821#539C2×D4314yescomplemented
822#538—434no—
823#538—434no—
824#538—434no—
825#538C2×D4314yescomplemented
826#537—434no—
827#537—434no—
828#536—434no—
829#536—434no—
830#535—434no—
831#535—434no—
832#534—434no—
833#534—434no—
834#533—432no—
835#533—432no—
836#533—434no—
837#533—434no—
838#533—434no—
839#533—434no—
840#533—432no—
841#533—431no—
842#533C2×D4311yescharacteristic, complemented
843#532—432no—
844#532—431no—
845#532—431no—
846#532—432no—
847#532—434no—
848#532—434no—
849#532—434no—
850#532—434no—
851#532—438no—
852#532—431no—
853#532C2×D4311yescharacteristic
854C2×C4⋊Q8—431no—
855C2×C4⋊Q8—432no—
856C2×#127—431no—
857#529—438no—
858#529—434no—
859#529—434no—
860#529—434no—
861#529—438no—
862#529—438no—
863#529—438no—
864#529—434no—
865#529—438no—
866#529—438no—
867#529—438no—
868#529C2×D4318yescomplemented
869C2×#125—432no—
870C2×#124—432no—
871#525—432no—
872#525—432no—
873#525—438no—
874#525—438no—
875#525—438no—
876#525—432no—
877#525C2×D4312yescomplemented
878C2×C22⋊Q8—434no—
879C2×#121—434no—
880#520—434no—
881#520—438no—
882#520—434no—
883#519—434no—
884#518—438no—
885#518—434no—
886C4×#41—432no—
887C4×#41—438no—
888C4×#41—434no—
889C4×#41—432no—
890C4×#41—432no—
891C4×#41—434no—
892C4×#41—432no—
893C4×#41—432no—
894C4×#41—432no—
895C4×#41—434no—
896C4×#41—432no—
897C4×#41—434no—
898C4×#41—438no—
899C4×#41C2×D4312yescomplemented
900C2×C4×Q8—434no—
901C2×C4×Q8—432no—
902C2×C4×D4—434no—
903C2×C4×D4—432no—
904C2×C4×D4—432no—
905C2×C4×D4—432no—
906C2×#117—432no—
907C2×#117—434no—
908C2×#117—431no—
909C2×#117—431no—
910C2×#117—434no—
911C2×#117C2×D4311yescharacteristic, complemented
912C22×C42—431no—
913C22×C42—431no—
914C22×C42—431no—
915C43#6281511yescharacteristic, complemented, Sylow
916C2×#41—432no—
917C2×#41—434no—
918C2×#41—432no—
919C2×#41—438no—
920C2×#41—432no—
921C2×#41—432no—
922C2×#41—432no—
923C2×#41—434no—
924C2×#41—432no—
925C2×#41—432no—
926C2×#41—438no—
927C2×#41—868no—
928C2×#41—8616no—
929C2×#41C22×D4312yes—
930C22×Q8—432no—
931C22×Q8—434no—
932C22×Q8—431no—
933C22×D4—431no—
934C22×D4—431no—
935C22×D4—434no—
936C22×D4—432no—
937C22×D4—434no—
938C22×D4—431no—
939C23×C4—431no—
940C23×C4—432no—
941C23×C4—434no—
942C23×C4—431no—
943C23×C4—432no—
944C23×C4—432no—
945C23×C4C22×D4311yescharacteristic
946C4⋊Q8—432no—
947C4⋊Q8—434no—
948C4⋊Q8—434no—
949C4⋊Q8—434no—
950C4⋊Q8—434no—
951C4⋊Q8—438no—
952C4⋊Q8—431no—
953C4⋊Q8—432no—
954C4⋊Q8C22×D4311yescharacteristic
955C4⋊Q8C22×D4312yes—
956#127—432no—
957#127—434no—
958#127—438no—
959#127—431no—
960#127C22×D4311yescharacteristic
961#126—438no—
962#126—438no—
963#126—438no—
964#126—438no—
965#126—438no—
966#126—438no—
967#126—438no—
968#126—438no—
969#126—438no—
970#126—438no—
971#126C22×D4318yes—
972#126C22×D4318yes—
973#125—434no—
974#125—438no—
975#125—438no—
976#125—438no—
977#125—438no—
978#125—438no—
979#125—438no—
980#125—432no—
981#125C22×D4312yes—
982#125C22×D4318yes—
983#124—432no—
984#124—438no—
985#124—432no—
986#124—438no—
987#124—438no—
988#124—438no—
989#124—438no—
990#124—438no—
991#124—438no—
992#124—438no—
993#124—432no—
994#124C22×D4312yes—
995#124C22×D4318yes—
996#123—434no—
997#123—438no—
998#123—438no—
999#123—434no—
1000#123—438no—
1001#123—438no—
1002#123—438no—
1003#123—438no—
1004#123—438no—
1005#123—434no—
1006#123—438no—
1007#123—438no—
1008#123—438no—
1009#123—438no—
1010#123—438no—
1011#123C22×D4314yes—
1012#123C22×D4318yes—
1013#123C22×D4318yes—
1014C22⋊Q8—434no—
1015C22⋊Q8—434no—
1016C22⋊Q8—438no—
1017C22⋊Q8—434no—
1018C22⋊Q8—434no—
1019C22⋊Q8—438no—
1020C22⋊Q8—434no—
1021C22⋊Q8—434no—
1022C22⋊Q8—438no—
1023C22⋊Q8—438no—
1024C22⋊Q8—438no—
1025C22⋊Q8—438no—
1026C22⋊Q8—438no—
1027C22⋊Q8—438no—
1028C22⋊Q8—438no—
1029C22⋊Q8C22×D4314yes—
1030C22⋊Q8C22×D4314yes—
1031C22⋊Q8C22×D4318yes—
1032#121—438no—
1033#121—434no—
1034#121—434no—
1035#121—438no—
1036#121—438no—
1037#121—438no—
1038#121—438no—
1039#121—434no—
1040#121—434no—
1041#121—434no—
1042#121—434no—
1043#121—438no—
1044#121—438no—
1045#121—438no—
1046#121—438no—
1047#121—438no—
1048#121—438no—
1049#121—438no—
1050#121—438no—
1051#121C22×D4314yes—
1052#121C22×D4314yes—
1053#121C22×D4318yes—
1054#120—434no—
1055#120—434no—
1056#120—438no—
1057#120—434no—
1058#120—438no—
1059#120C22×D4314yes—
1060C4×Q8—434no—
1061C4×Q8—434no—
1062C4×Q8—434no—
1063C4×Q8—434no—
1064C4×Q8—434no—
1065C4×Q8—434no—
1066C4×Q8—438no—
1067C4×Q8—434no—
1068C4×Q8—434no—
1069C4×Q8—438no—
1070C4×Q8—438no—
1071C4×Q8—438no—
1072C4×Q8—434no—
1073C4×Q8—434no—
1074C4×Q8—438no—
1075C4×Q8—438no—
1076C4×Q8C22×D4314yes—
1077C4×Q8C22×D4314yes—
1078C4×D4—434no—
1079C4×D4—438no—
1080C4×D4—434no—
1081C4×D4—438no—
1082C4×D4—438no—
1083C4×D4—438no—
1084C4×D4—438no—
1085C4×D4—438no—
1086C4×D4—438no—
1087C4×D4—438no—
1088C4×D4—438no—
1089C4×D4—438no—
1090C4×D4—434no—
1091C4×D4—434no—
1092C4×D4—434no—
1093C4×D4—434no—
1094C4×D4—434no—
1095C4×D4—434no—
1096C4×D4—438no—
1097C4×D4—434no—
1098C4×D4—434no—
1099C4×D4—434no—
1100C4×D4—434no—
1101C4×D4—434no—
1102C4×D4—434no—
1103C4×D4—434no—
1104C4×D4—434no—
1105C4×D4—438no—
1106C4×D4—438no—
1107C4×D4—438no—
1108C4×D4—438no—
1109C4×D4—438no—
1110C4×D4—438no—
1111C4×D4—434no—
1112C4×D4—434no—
1113C4×D4—438no—
1114C4×D4—438no—
1115C4×D4—438no—
1116C4×D4C22×D4314yes—
1117C4×D4C22×D4318yes—
1118C4×D4C22×D4318yes—
1119C4×D4C22×D4314yes—
1120#117—432no—
1121#117—434no—
1122#117—438no—
1123#117—434no—
1124#117—438no—
1125#117—438no—
1126#117—434no—
1127#117—438no—
1128#117—438no—
1129#117—438no—
1130#117—432no—
1131#117—434no—
1132#117—432no—
1133#117—432no—
1134#117—432no—
1135#117—434no—
1136#117—434no—
1137#117—434no—
1138#117—432no—
1139#117—432no—
1140#117—438no—
1141#117—438no—
1142#117—438no—
1143#117—438no—
1144#117C22×D4312yes—
1145#117C22×D4314yes—
1146#117C22×D4314yes—
1147#117C22×D4312yes—
1148#117C22×D4312yes—
1149C2×C4⋊C4—432no—
1150C2×C4⋊C4—432no—
1151C2×C4⋊C4—438no—
1152C2×C4⋊C4—434no—
1153C2×C4⋊C4—438no—
1154C2×C4⋊C4—434no—
1155C2×C4⋊C4—438no—
1156C2×C4⋊C4—434no—
1157C2×C4⋊C4C22×D4312yes—
1158C2×C22⋊C4—432no—
1159C2×C22⋊C4—432no—
1160C2×C22⋊C4—438no—
1161C2×C22⋊C4—434no—
1162C2×C22⋊C4—438no—
1163C2×C22⋊C4—438no—
1164C2×C22⋊C4C22×D4312yes—
1165C2×C42—431no—
1166C2×C42—434no—
1167C2×C42—432no—
1168C2×C42—432no—
1169C2×C42—432no—
1170C2×C42—434no—
1171C2×C42—432no—
1172C2×C42—432no—
1173C2×C42—431no—
1174C2×C42—434no—
1175C2×C42—434no—
1176C2×C42—434no—
1177C2×C42—432no—
1178C2×C42—432no—
1179C2×C42—434no—
1180C2×C42—431no—
1181C2×C42—431no—
1182C2×C42—432no—
1183C2×C42—431no—
1184C2×C42—431no—
1185C2×C42—432no—
1186C2×C42C22×D4311yescharacteristic
1187C2×C42C22×D4311yescharacteristic
1188C2×C42C22×D4314yes—
1189C24—431no—
1190C24—434no—
1191C24—431no—
1192C24C23×D4311yescharacteristic
1193#41—28no—
1194#41—868no—
1195#41—868no—
1196#41—868no—
1197#41—868no—
1198#41—8616no—
1199#41—8616no—
1200#41—868no—
1201#41—868no—
1202#41—868no—
1203#41—17216no—
1204#41—17216no—
1205C2×Q8—432no—
1206C2×Q8—438no—
1207C2×Q8—432no—
1208C2×Q8—432no—
1209C2×Q8—434no—
1210C2×Q8—434no—
1211C2×Q8—864no—
1212C2×Q8—868no—
1213C2×Q8—1728no—
1214C2×Q8C23×D4312yes—
1215C2×Q8C23×D4314yes—
1216C2×D4—432no—
1217C2×D4—434no—
1218C2×D4—432no—
1219C2×D4—434no—
1220C2×D4—432no—
1221C2×D4—438no—
1222C2×D4—434no—
1223C2×D4—432no—
1224C2×D4—438no—
1225C2×D4—438no—
1226C2×D4—432no—
1227C2×D4—432no—
1228C2×D4—434no—
1229C2×D4—432no—
1230C2×D4—438no—
1231C2×D4—434no—
1232C2×D4—864no—
1233C2×D4—868no—
1234C2×D4—864no—
1235C2×D4—8616no—
1236C2×D4—864no—
1237C2×D4—1728no—
1238C2×D4C23×D4314yes—
1239C2×D4C23×D4312yes—
1240C2×D4C23×D4318yes—
1241C2×D4C23×D4314yes—
1242C22×C4—24no—
1243C22×C4—431no—
1244C22×C4—438no—
1245C22×C4—431no—
1246C22×C4—431no—
1247C22×C4—431no—
1248C22×C4—431no—
1249C22×C4—432no—
1250C22×C4—431no—
1251C22×C4—434no—
1252C22×C4—434no—
1253C22×C4—432no—
1254C22×C4—434no—
1255C22×C4—438no—
1256C22×C4—432no—
1257C22×C4—432no—
1258C22×C4—434no—
1259C22×C4—432no—
1260C22×C4—434no—
1261C22×C4—434no—
1262C22×C4—434no—
1263C22×C4—432no—
1264C22×C4—432no—
1265C22×C4—432no—
1266C22×C4—434no—
1267C22×C4—438no—
1268C22×C4—438no—
1269C22×C4—438no—
1270C22×C4—8616no—
1271C22×C4—864no—
1272C22×C4—1724no—
1273C22×C4—1724no—
1274C22×C4—1724no—
1275C22×C4C23×D4311yescharacteristic
1276C22×C4C23×D4312yes—
1277C22×C4C23×D4312yes—
1278C22×C4C23×D4314yes—
1279C22×C4C23×D4312yes—
1280C22×C4C23×D4312yes—
1281C22×C4C23×D4318yes—
1282C22×C4C23×D4311yescharacteristic
1283C4⋊C4—434no—
1284C4⋊C4—438no—
1285C4⋊C4—434no—
1286C4⋊C4—438no—
1287C4⋊C4—438no—
1288C4⋊C4—434no—
1289C4⋊C4—434no—
1290C4⋊C4—438no—
1291C4⋊C4—438no—
1292C4⋊C4—438no—
1293C4⋊C4—438no—
1294C4⋊C4—438no—
1295C4⋊C4—434no—
1296C4⋊C4—434no—
1297C4⋊C4—438no—
1298C4⋊C4—434no—
1299C4⋊C4—438no—
1300C4⋊C4—438no—
1301C4⋊C4—438no—
1302C4⋊C4C23×D4314yes—
1303C4⋊C4C23×D4318yes—
1304C4⋊C4C23×D4314yes—
1305C4⋊C4C23×D4318yes—
1306C4⋊C4C23×D4314yes—
1307C4⋊C4C23×D4314yes—
1308C4⋊C4C23×D4314yes—
1309C4⋊C4C23×D4318yes—
1310C22⋊C4—434no—
1311C22⋊C4—438no—
1312C22⋊C4—438no—
1313C22⋊C4—438no—
1314C22⋊C4—438no—
1315C22⋊C4—434no—
1316C22⋊C4—438no—
1317C22⋊C4—434no—
1318C22⋊C4—434no—
1319C22⋊C4—438no—
1320C22⋊C4—438no—
1321C22⋊C4—438no—
1322C22⋊C4—434no—
1323C22⋊C4—438no—
1324C22⋊C4—438no—
1325C22⋊C4—438no—
1326C22⋊C4—438no—
1327C22⋊C4—438no—
1328C22⋊C4C23×D4314yes—
1329C22⋊C4C23×D4318yes—
1330C22⋊C4C23×D4318yes—
1331C22⋊C4C23×D4314yes—
1332C22⋊C4C23×D4314yes—
1333C22⋊C4C23×D4318yes—
1334C22⋊C4C23×D4318yes—
1335C42—431no—
1336C42—431no—
1337C42—432no—
1338C42—434no—
1339C42—434no—
1340C42—432no—
1341C42—432no—
1342C42—434no—
1343C42—434no—
1344C42—432no—
1345C42—432no—
1346C42—438no—
1347C42—438no—
1348C42—438no—
1349C42—438no—
1350C42—432no—
1351C42—432no—
1352C42—434no—
1353C42C23×D4312yes—
1354C42C23×D4311yescharacteristic
1355C42C23×D4311yescharacteristic
1356C42C23×D4318yes—
1357C42C23×D4312yes—
1358C42C23×D4312yes—
1359C42C23×D4314yes—
1360C23—22no—
1361C23—42no—
1362C23—431no—
1363C23—431no—
1364C23—434no—
1365C23—432no—
1366C23—434no—
1367C23—868no—
1368C23—862no—
1369C23—1728no—
1370C23—1722no—
1371C23—1722no—
1372C23C24×D4314yes—
1373C23C24×D4312yes—
1374C23C24×D4311yescharacteristic
1375Q8—24no—
1376Q8—44no—
1377Q8—864no—
1378Q8—864no—
1379Q8—868no—
1380Q8—8616no—
1381Q8—864no—
1382Q8—1724no—
1383D4—28no—
1384D4—24no—
1385D4—44no—
1386D4—48no—
1387D4—864no—
1388D4—864no—
1389D4—868no—
1390D4—864no—
1391D4—864no—
1392D4—868no—
1393D4—8616no—
1394D4—864no—
1395D4—864no—
1396D4—868no—
1397D4—868no—
1398D4—864no—
1399D4—1724no—
1400D4—1728no—
1401D4—1728no—
1402D4—1728no—
1403C2×C4—22no—
1404C2×C4—24no—
1405C2×C4—24no—
1406C2×C4—28no—
1407C2×C4—42no—
1408C2×C4—42no—
1409C2×C4—48no—
1410C2×C4—434no—
1411C2×C4—431no—
1412C2×C4—432no—
1413C2×C4—431no—
1414C2×C4—434no—
1415C2×C4—434no—
1416C2×C4—434no—
1417C2×C4—434no—
1418C2×C4—432no—
1419C2×C4—434no—
1420C2×C4—432no—
1421C2×C4—434no—
1422C2×C4—438no—
1423C2×C4—868no—
1424C2×C4—864no—
1425C2×C4—864no—
1426C2×C4—868no—
1427C2×C4—868no—
1428C2×C4—868no—
1429C2×C4—864no—
1430C2×C4—868no—
1431C2×C4—862no—
1432C2×C4—868no—
1433C2×C4—864no—
1434C2×C4—864no—
1435C2×C4—1724no—
1436C2×C4—1722no—
1437C2×C4—1722no—
1438C2×C4—1728no—
1439C2×C4—1728no—
1440C2×C4—1728no—
1441C2×C4—1722no—
1442C2×C4—1724no—
1443C2×C4—1728no—
1444C2×C4#41×D4314yes—
1445C2×C4C24×D4314yes—
1446C2×C4C24×D4312yes—
1447C2×C4C24×D4312yes—
1448C2×C4C24×D4314yes—
1449C2×C4C24×D4318yes—
1450C2×C4C24×D4312yes—
1451C2×C4C24×D4311yescharacteristic
1452C2×C4C24×D4311yescharacteristic
1453C22—22no—
1454C22—22no—
1455C22—24no—
1456C22—28no—
1457C22—24no—
1458C22—44no—
1459C22—432no—
1460C22—432no—
1461C22—862no—
1462C22—862no—
1463C22—864no—
1464C22—862no—
1465C22—864no—
1466C22—868no—
1467C22—3448no—
1468C22—1724no—
1469C22—1724no—
1470C22C2×#41×D4312yes—
1471C22C25×D4311yescharacteristic
1472C4—22no—
1473C4—24no—
1474C4—24no—
1475C4—22no—
1476C4—22no—
1477C4—28no—
1478C4—432no—
1479C4—432no—
1480C4—434no—
1481C4—864no—
1482C4—862no—
1483C4—862no—
1484C4—864no—
1485C4—868no—
1486C4C2×#41×D4312yes—
1487C4C2×#41×D4312yes—
1488C2—22no—
1489C2—42no—
1490C2—44no—
1491C2—862no—
1492C2—862no—
1493C2—1724no—
1494C2—1722no—
1495C2C22×#41×D4311yescharacteristic
1496C2#585×D4312yes—
subgroupG/H
centerC2×C4C24×D43
commutator, socle, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC43×#3455C2
hypercenter#3455D43
hypocenterC43#62815
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ #3455

Complements

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

NH ≅ G/Ntype
1. #19148518C2semidirect
2. #19148514C2semidirect
3. #19148500C2semidirect
4. #19148487C2semidirect
5. #19148477C2semidirect
6. #19148467C2semidirect
7. #19148455C2semidirect
8. #19148442C2semidirect
9. #19148433C2semidirect
10. #19148427C2semidirect
11. #19148186C2semidirect
12. #19148147C2semidirect
13. #19147987C2semidirect
14. #19147985C2semidirect
15. #19147984C2semidirect
16. #19147925C2semidirect
17. #19147888C2semidirect
18. #19147887C2semidirect
19. #533×D43C2semidirect
20. #532×D43C2semidirect
21. #19147794C2semidirect
22. C2×#14583367C2semidirect
23. C43×#3455C2semidirect
26. #14583633C22semidirect
27. #14583633C22semidirect
28. #14583631C22semidirect
29. #14583626C22semidirect
30. #14583620C22semidirect
31. #14583616C22semidirect
32. #14583616C22semidirect
33. #14583616C22semidirect
34. #14583611C22semidirect
35. #14583603C22semidirect
36. #14583602C22semidirect
37. #14583600C22semidirect
38. #14583600C22semidirect
39. #14583600C22semidirect
40. #14583596C22semidirect
41. #14583594C22semidirect
42. #14583594C22semidirect
43. #14583592C22semidirect
44. #14583586C22semidirect
45. #14583585C22semidirect
46. #14583581C22semidirect
47. #14583581C22semidirect
48. #14583579C22semidirect
49. #14583576C22semidirect
50. #14583574C22semidirect
51. #14583572C22semidirect
52. #14583567C22semidirect
53. #14583559C22semidirect
54. #14583557C22semidirect
55. #14583547C22semidirect
56. #14583541C22semidirect
57. #14583538C22semidirect
58. #14583523C22semidirect
59. #14583520C22semidirect
60. #14583518C22semidirect
61. #14583512C22semidirect
62. #14583511C22semidirect
63. #14583510C22semidirect
64. #14583505C22semidirect
65. #14583504C22semidirect
66. #14583503C22semidirect
67. #14583498C22semidirect
68. #14583496C22semidirect
69. #14583494C22semidirect
70. #14583489C22semidirect
71. #14583487C22semidirect
72. #14583486C22semidirect
73. #14583479C22semidirect
74. #14583478C22semidirect
76. #14583471C22semidirect
78. #14583464C22semidirect
81. #14583456C22semidirect
82. #14583455C22semidirect
83. #14583454C22semidirect
84. #14583453C22semidirect
85. #14583453C22semidirect
86. #14583452C22semidirect
87. #14583451C22semidirect
88. #14583451C22semidirect
89. #14583450C22semidirect
91. #14583448C22semidirect
92. #14583447C22semidirect
93. #14583446C22semidirect
94. #14583446C22semidirect
95. #14583446C22semidirect
98. #14583444C22semidirect
99. C4⋊Q8×D43C22semidirect
100. C4⋊Q8×D43C22semidirect
101. #127×D43C22semidirect
102. #14583436C22semidirect
103. #14583436C22semidirect
104. #14583435C22semidirect
105. #14583431C22semidirect
106. #14583430C22semidirect
107. #14583429C22semidirect
108. #14583429C22semidirect
109. #14583429C22semidirect
110. #14583427C22semidirect
111. #14583427C22semidirect
112. #14583426C22semidirect
113. #125×D43C22semidirect
114. #124×D43C22semidirect
115. #14583411C22semidirect
116. #14583410C22semidirect
118. #14583408C22semidirect
119. #14583406C22semidirect
120. #14583405C22semidirect
123. #14583381C22semidirect
124. #14583378C22semidirect
125. #14583378C22semidirect
126. #14583375C22semidirect
128. #14583371C22semidirect
129. #41×Dic43C22semidirect
130. C4×#10621898C22semidirect
131. C4×#10621898C22semidirect
132. C4×#10621898C22semidirect
136. #14583367C22semidirect
137. #14583367C22semidirect
138. #14583367C22semidirect
139. #14583367C22semidirect
140. #14583367C22semidirect
141. C4×#10621900C22semidirect
142. C2×#13063290C22semidirect
143. C4×Q8×D43C22semidirect
146. C2×(C22⋊D43)⋊C4C22semidirect
147. C4×D4×D43C22semidirect
149. C2×#13063282C22semidirect
150. C2×#13063282C22semidirect
152. #117×D43C22semidirect
153. C22×C4×Dic43C22semidirect
155. C2×C42×D43C22semidirect
156. C43×#542C22semidirect
157. C43×#541C22semidirect
158. C43×#540C22semidirect
159. C43×#539C22semidirect
160. C43×#538C22semidirect
161. C43×#533C22semidirect
163. C43×#529C22semidirect
164. C43×#525C22semidirect
165. C4×#41×C43C22semidirect
166. C2×#117×C43C22semidirect
508. C2×C4×D43#41semidirect
755. #3455D43semidirect
809. #542C2×D43semidirect
813. #541C2×D43semidirect
817. #540C2×D43semidirect
821. #539C2×D43semidirect
825. #538C2×D43semidirect
842. #533C2×D43semidirect
868. #529C2×D43semidirect
877. #525C2×D43semidirect
899. C4×#41C2×D43semidirect
911. C2×#117C2×D43semidirect
915. C43#62815semidirect

Maximal subgroups

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

subgroupindex
#191485182
#191485142
#191485002
#191484872
#191484772
#191484672
#191484552
#191484422
#191484332
#191484272
#191481862
#191481472
#191479872
#191479852
#191479842
#191479252
#191478882
#191478872
#533×D432
#532×D432
#191477942
C2×#145833672
C43×#34552
#6281543