Finite Group Databasebeta

← #26005214

Subgroups — #26005214

Order 11008.

9494 conjugacy classes of subgroups.

The subgroup lattice has 1440 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148751C218yesmaximal, complemented
2#19148746C218yesmaximal, complemented
3#19148744C218yesmaximal, complemented
4#19148285C212yesmaximal, complemented
5#19148284C211yesmaximal, characteristic, complemented
6#19148280C212yesmaximal, complemented
7#19148279C218yesmaximal, complemented
8#19148278C214yesmaximal, complemented
9#19148231C212yesmaximal, complemented
10#19148228C214yesmaximal, complemented
11#19148227C212yesmaximal, complemented
12#19148225C218yesmaximal, complemented
13#19148224C212yesmaximal, complemented
14C22×#13063295C211yesmaximal, characteristic, complemented
15C2×#120×D43C212yesmaximal, complemented
16C43×#3490C211yesmaximal, characteristic, complemented
17C25×D43C2211yescharacteristic, complemented
18C2×#13063371C2214yescomplemented
19C2×#13063370C2212yescomplemented
20C23×D172C2212yescomplemented
21C23×C22⋊D43C2211yescharacteristic, complemented
22C22×D4×D43C2212yescomplemented
23C22×D4×D43C2214yescomplemented
24#14583641C2218yescomplemented
25#14583640C2218yescomplemented
26#14583639C2218yescomplemented
27#14583637C2218yescomplemented
28#14583578C2218yescomplemented
29#14583576C2218yescomplemented
30#14583576C2218yescomplemented
31#14583575C2218yescomplemented
32#14583574C2218yescomplemented
33#14583573C2218yescomplemented
34#14583573C2218yescomplemented
35#14583572C2218yescomplemented
36#14583545C2218yescomplemented
37#14583545C2218yescomplemented
38#14583544C2218yescomplemented
39#14583544C2218yescomplemented
40#14583542C2218yescomplemented
41#14583541C2218yescomplemented
42#14583541C2218yescomplemented
43#14583541C2218yescomplemented
44#14583540C2218yescomplemented
45#14583540C2218yescomplemented
46#14583540C2218yescomplemented
47#14583539C2218yescomplemented
48#14583539C2218yescomplemented
49#14583539C2218yescomplemented
50#14583538C2218yescomplemented
51#14583537C2218yescomplemented
52#14583536C2218yescomplemented
53D4×D172C2218yescomplemented
54D4×D172C2218yescomplemented
55D4×D172C2218yescomplemented
56#14583533C2218yescomplemented
57#14583533C2218yescomplemented
58#14583533C2218yescomplemented
59D4×C22⋊D43C2218yescomplemented
60#14583531C2218yescomplemented
61#14583531C2218yescomplemented
62#14583525C2211yescharacteristic, complemented
63#14583524C2214yescomplemented
64#14583489C2218yescomplemented
65#14583489C2214yescomplemented
66#14583488C2218yescomplemented
67#14583488C2218yescomplemented
68#14583487C2214yescomplemented
69#14583486C2214yescomplemented
70#14583485C2218yescomplemented
71#14583483C2218yescomplemented
72#14583482C2218yescomplemented
73#14583482C2218yescomplemented
74#14583468C2214yescomplemented
75#14583468C2214yescomplemented
76#14583467C2218yescomplemented
77#14583465C2218yescomplemented
78#14583464C2214yescomplemented
79#14583464C2214yescomplemented
80#14583463C2214yescomplemented
81#14583461C2212yescomplemented
82#14583461C2211yescharacteristic, complemented
83#14583461C2214yescomplemented
84#14583460C2218yescomplemented
85#14583460C2218yescomplemented
86#14583460C2214yescomplemented
87#14583460C2218yescomplemented
88#14583459C2214yescomplemented
89#14583458C2212yescomplemented
90#14583457C2214yescomplemented
91#14583457C2218yescomplemented
92#14583412C2218yescomplemented
93#14583411C2214yescomplemented
94#14583410C2214yescomplemented
95#14583408C2218yescomplemented
96#14583407C2214yescomplemented
97#14583405C2214yescomplemented
98C2×#13063295C2212yescomplemented
99C2×#13063295C2212yescomplemented
100C2×#13063295C2212yescomplemented
101C2×#13063295C2218yescomplemented
102C2×#13063295C2214yescomplemented
103C2×#13063295C2218yescomplemented
104C2×#13063295C2214yescomplemented
105C2×#13063295C2214yescomplemented
106C2×#13063294C2212yescomplemented
107C2×#13063293C2212yescomplemented
108C2×#13063293C2214yescomplemented
109#120×D43C2218yescomplemented
110#120×D43C2218yescomplemented
111#120×D43C2218yescomplemented
112#120×D43C2218yescomplemented
113#120×D43C2214yescomplemented
114#120×D43C2214yescomplemented
115#14583373C2214yescomplemented
116#14583372C2212yescomplemented
117#14583372C2212yescomplemented
118#14583371C2218yescomplemented
119C22×(C2×D43)⋊C4C2212yescomplemented
120C2×C22⋊C4×D43C2212yescomplemented
121C2×C22⋊C4×D43C2214yescomplemented
122C43×#551C2218yescomplemented
123C43×#546C2218yescomplemented
124C43×#543C2211yescharacteristic, complemented
125C43×#538C2214yescomplemented
126C43×#534C2211yescharacteristic, complemented
127C43×#525C2214yescomplemented
128C2×#120×C43C2212yescomplemented
129C43×#518C2212yescomplemented
130C22×C22⋊C4×C43C2211yescharacteristic, complemented
131C24×D43—48no—
132C24×D43—44no—
133C24×D43C2314yes—
134C24×D43C2312yes—
135C24×D43C2312yes—
136C24×D43C2312yes—
137C24×D43C2314yes—
138C24×D43C2311yescharacteristic, complemented
139C24×D43C2312yescomplemented
140#13063371—416no—
141#13063370—48no—
142C2×#10621902C2318yescomplemented
143C2×#10621898C2318yescomplemented
144C2×#10621898C2314yescomplemented
145C2×#10621898C2314yescomplemented
146C2×#10621900C2314yescomplemented
147C2×#10621900C2314yescomplemented
148C22×D172—48no—
149C22×D172C2314yes—
150C22×D172C2314yescomplemented
151C22×D172C2312yescomplemented
152C22×D172C2314yescomplemented
153C22×D172C2314yescomplemented
154C22×D172C2318yescomplemented
155C22×D172C2314yescomplemented
156C22×D172C2318yescomplemented
157C22×C22⋊D43—44no—
158C22×C22⋊D43C2312yes—
159C22×C22⋊D43C2312yes—
160C22×C22⋊D43C2312yescomplemented
161C22×C22⋊D43C2314yescomplemented
162C22×C22⋊D43C2314yescomplemented
163C22×C22⋊D43C2312yescomplemented
164C22×C22⋊D43C2318yescomplemented
165C22×C22⋊D43C2314yescomplemented
166C2×D4×D43—416no—
167C2×D4×D43—48no—
168C2×D4×D43C2318yes—
169C2×D4×D43C2318yescomplemented
170C2×D4×D43C2318yescomplemented
171C2×D4×D43C2318yescomplemented
172C2×D4×D43C2318yescomplemented
173C2×D4×D43C2318yescomplemented
174C2×D4×D43C2318yescomplemented
175C2×D4×D43C2314yescomplemented
176C2×D4×D43C2314yescomplemented
177C2×D4×D43C2318yescomplemented
178C23×Dic43C2311yescharacteristic, complemented
179C22×C4×D43C2312yescomplemented
180C22×C4×D43C2314yescomplemented
181#13063322C2318yescomplemented
182#13063321C2318yescomplemented
183#13063321C2318yescomplemented
184#13063320C2318yescomplemented
185#13063320C2318yescomplemented
186#13063320C2318yescomplemented
187#13063319C2318yescomplemented
188#13063318C2318yescomplemented
189#13063314C2318yescomplemented
190#13063314C2318yescomplemented
191#13063313C2318yescomplemented
192#13063313C2318yescomplemented
193#13063311C2318yescomplemented
194#13063311C2318yescomplemented
195#13063311C2318yescomplemented
196#13063311C2318yescomplemented
197#13063310C2318yescomplemented
198#13063310C2318yescomplemented
199#13063310C2318yescomplemented
200#13063310C2318yescomplemented
201#13063310C2318yescomplemented
202#13063310C2318yescomplemented
203#13063310C2318yescomplemented
204#13063309C2318yescomplemented
205#13063309C2314yescomplemented
206#13063309C2314yescomplemented
207#13063309C2314yescomplemented
208#13063308C2318yescomplemented
209#13063308C2314yescomplemented
210#13063308C2318yescomplemented
211#13063307C2318yescomplemented
212#13063307C2318yescomplemented
213#13063307C2318yescomplemented
214#13063306C2314yescomplemented
215#13063305C2318yescomplemented
216#13063304C2314yescomplemented
217#13063304C2314yescomplemented
218#13063303C2318yescomplemented
219#13063303C2318yescomplemented
220#13063302C2318yescomplemented
221#13063302C2318yescomplemented
222#13063301C2318yescomplemented
223#13063300C2318yescomplemented
224#13063300C2318yescomplemented
225#13063300C2318yescomplemented
226#13063300C2318yescomplemented
227#13063300C2318yescomplemented
228#13063300C2318yescomplemented
229#13063300C2318yescomplemented
230#13063299C2318yescomplemented
231#13063299C2318yescomplemented
232#13063299C2318yescomplemented
233#13063299C2314yescomplemented
234#13063299C2314yescomplemented
235#13063299C2318yescomplemented
236#13063298C2318yescomplemented
237#13063298C2318yescomplemented
238#13063298C2318yescomplemented
239#13063298C2318yescomplemented
240#13063298C2318yescomplemented
241#13063298C2318yescomplemented
242#13063298C2318yescomplemented
243#13063298C2318yescomplemented
244#13063297C2318yescomplemented
245#13063297C2318yescomplemented
246#13063297C2318yescomplemented
247#13063297C2318yescomplemented
248#13063296C2318yescomplemented
249#13063295C2318yes—
250#13063295C2318yes—
251#13063295C2318yes—
252#13063295C2318yes—
253#13063295C2318yes—
254#13063295C2318yescomplemented
255#13063295C2318yescomplemented
256#13063295C2314yescomplemented
257#13063295C2318yescomplemented
258#13063295C2318yescomplemented
259#13063295C2314yescomplemented
260#13063295C2314yescomplemented
261#13063295C2314yescomplemented
262#13063295C2318yescomplemented
263#13063295C2314yescomplemented
264#13063295C2318yescomplemented
265#13063295C2314yescomplemented
266#13063295C2318yescomplemented
267#13063295C2318yescomplemented
268#13063295C2318yescomplemented
269#13063295C2318yescomplemented
270#13063295C2314yescomplemented
271#13063295C2314yescomplemented
272#13063295C2314yescomplemented
273#13063295C2318yescomplemented
274#13063295C2318yescomplemented
275#13063294C2318yes—
276#13063294C2314yescomplemented
277#13063294C2314yescomplemented
278#13063294C2314yescomplemented
279#13063293C2318yes—
280#13063293C2318yes—
281#13063293C2318yescomplemented
282#13063293C2314yescomplemented
283#13063293C2318yescomplemented
284#13063293C2318yescomplemented
285#13063293C2314yescomplemented
286#13063293C2318yescomplemented
287#13063293C2314yescomplemented
288#13063293C2318yescomplemented
289#13063293C2318yescomplemented
290C4×D172C2318yescomplemented
291C4×D172C2318yescomplemented
292C4×D172C2318yescomplemented
293D4×Dic43C2318yescomplemented
294#13063287C2318yescomplemented
295#13063287C2318yescomplemented
296#13063287C2318yescomplemented
297C4×C22⋊D43C2318yescomplemented
298C4×C22⋊D43C2318yescomplemented
299C4×C22⋊D43C2318yescomplemented
300C4×C22⋊D43C2318yescomplemented
301(C22⋊D43)⋊C4C2318yescomplemented
302(C22⋊D43)⋊C4C2318yescomplemented
303(C22⋊D43)⋊C4C2318yescomplemented
304(C22⋊D43)⋊C4C2318yescomplemented
305#13063284C2314yescomplemented
306#13063283C2318yescomplemented
307#13063282C2318yescomplemented
308#13063281C2314yescomplemented
309#13063281C2314yescomplemented
310C2×C22⋊Dic43C2312yes—
311C2×C22⋊Dic43C2314yescomplemented
312C2×(C2×D43)⋊C4C2314yes—
313C2×(C2×D43)⋊C4C2318yescomplemented
314C2×(C2×D43)⋊C4C2314yescomplemented
315C2×(C2×D43)⋊C4C2314yescomplemented
316C2×(C2×D43)⋊C4C2314yescomplemented
317C2×(C2×D43)⋊C4C2314yescomplemented
318C2×(C2×D43)⋊C4C2314yescomplemented
319C2×(C2×D43)⋊C4C2314yescomplemented
320C2×(C2×D43)⋊C4C2318yescomplemented
321C22⋊C4×D43C2318yes—
322C22⋊C4×D43C2318yescomplemented
323C22⋊C4×D43C2318yescomplemented
324C22⋊C4×D43C2318yescomplemented
325C22⋊C4×D43C2318yescomplemented
326C22⋊C4×D43C2318yescomplemented
327C22⋊C4×D43C2318yescomplemented
328C22⋊C4×D43C2314yescomplemented
329C22⋊C4×D43C2314yescomplemented
330C22⋊C4×D43C2318yescomplemented
331C25×C43C2311yescharacteristic
332C2×#41×C43C2314yescomplemented
333C22×D4×C43C2312yes—
334C22×D4×C43C2314yescomplemented
335C23×C4×C43C2312yescomplemented
336#126×C43C2318yescomplemented
337#124×C43C2318yescomplemented
338#123×C43C2318yescomplemented
339#123×C43C2318yescomplemented
340#123×C43C2314yescomplemented
341C22⋊Q8×C43C2314yescomplemented
342C22⋊Q8×C43C2318yescomplemented
343C22⋊Q8×C43C2314yescomplemented
344#121×C43C2318yescomplemented
345#121×C43C2314yescomplemented
346#121×C43C2314yescomplemented
347#120×C43C2318yes—
348#120×C43C2314yescomplemented
349#120×C43C2314yescomplemented
350#120×C43C2314yescomplemented
351C4×D4×C43C2318yescomplemented
352C4×D4×C43C2318yescomplemented
353C4×D4×C43C2318yescomplemented
354#117×C43C2314yescomplemented
355#117×C43C2314yescomplemented
356C2×C22⋊C4×C43C2311yescharacteristic
357C2×C22⋊C4×C43C2311yescharacteristic
358C2×C22⋊C4×C43C2312yes—
359C2×C22⋊C4×C43C2318yescomplemented
360C2×C22⋊C4×C43C2312yescomplemented
361C2×C22⋊C4×C43C2314yescomplemented
362C2×C22⋊C4×C43C2314yescomplemented
363C24×C43—24no—
364C24×C43—44no—
365C24×C43C2411yescharacteristic
366C24×C43C2414yes—
367C24×C43C2411yescharacteristic
368C24×C43C2412yes—
369C24×C43C2411yescharacteristic
370C23×D43—28no—
371C23×D43—216no—
372C23×D43—28no—
373C23×D43—48no—
374C23×D43—48no—
375C23×D43—48no—
376C23×D43—48no—
377C23×D43—48no—
378C23×D43—48no—
379C23×D43—48no—
380C23×D43—48no—
381C23×D43—44no—
382C23×D43—44no—
383C23×D43—44no—
384C23×D43—44no—
385C23×D43—42no—
386C23×D43—44no—
387C23×D43—464no—
388C23×D43C2412yes—
389C23×D43C2412yes—
390C23×D43C2414yes—
391C23×D43C2414yes—
392C23×D43C2414yes—
393C23×D43C2414yes—
394C23×D43C2412yes—
395C23×D43C2414yes—
396C23×D43C2412yes—
397C23×D43C2418yes—
398C23×D43C2412yes—
399C23×D43C2412yes—
400C23×D43C2412yes—
401C23×D43C2412yes—
402C23×D43C2414yescomplemented
403#41×C43—48no—
404C2×Q8×C43C2414yescomplemented
405C2×D4×C43—28no—
406C2×D4×C43—48no—
407C2×D4×C43C2414yes—
408C2×D4×C43C2414yes—
409C2×D4×C43C2418yes—
410C2×D4×C43C2418yes—
411C2×D4×C43C2414yescomplemented
412C22×C4×C43—44no—
413C22×C4×C43C2412yes—
414C22×C4×C43C2414yes—
415C22×C4×C43C2412yes—
416C22×C4×C43C2414yes—
417C22×C4×C43C2412yes—
418C22×C4×C43C2414yes—
419C22×C4×C43C2418yescomplemented
420C2×C22⋊D43—28no—
421C2×C22⋊D43—28no—
422C2×C22⋊D43—44no—
423C2×C22⋊D43—44no—
424C2×C22⋊D43—48no—
425C2×C22⋊D43—48no—
426C2×C22⋊D43—416no—
427C2×C22⋊D43—48no—
428C2×C22⋊D43C2414yes—
429C2×C22⋊D43C2414yes—
430C2×C22⋊D43C2418yes—
431C2×C22⋊D43C2418yes—
432C2×C22⋊D43C2414yes—
433C2×C22⋊D43C2414yes—
434C2×C22⋊D43C2418yes—
435C2×C22⋊D43C2418yes—
436C2×C22⋊D43C2418yes—
437C2×C22⋊D43C2418yes—
438C2×C22⋊D43C2418yescomplemented
439C2×C22⋊D43C2414yescomplemented
440C2×C22⋊D43C2414yescomplemented
441C22×Dic43—42no—
442C22×Dic43C2412yes—
443C22×Dic43C2412yes—
444C22×Dic43C2414yes—
445C22×Dic43C2414yes—
446C22×Dic43C2414yescomplemented
447#10621902—416no—
448#10621900—48no—
449#10621900—48no—
450D4×D43—232no—
451D4×D43—416no—
452D4×D43—416no—
453D4×D43—416no—
454D4×D43—416no—
455D4×D43—416no—
456D4×D43—416no—
457D4×D43—48no—
458D4×D43—48no—
459D4×D43—416no—
460#10621898—416no—
461#10621898—48no—
462#10621898—48no—
463C2×D172—216no—
464C2×D172—44no—
465C2×D172—48no—
466C2×D172—48no—
467C2×D172—48no—
468C2×D172—416no—
469C2×D172—48no—
470C2×D172—416no—
471C2×D172C2418yes—
472C2×D172C2418yes—
473C2×D172C2418yes—
474C2×D172C2418yes—
475C2×D172C2418yes—
476C2×D172C2418yes—
477C2×D172C2418yes—
478C2×D172C2414yescomplemented
479C2×D172C2414yescomplemented
480C2×D172C2418yescomplemented
481C2×C4×D43—48no—
482C2×C4×D43—44no—
483C2×C4×D43C2418yes—
484C2×C4×D43C2418yes—
485C2×C4×D43C2418yes—
486C2×C4×D43C2414yescomplemented
487C2×C4×D43C2418yescomplemented
488C2×C4×D43C2418yescomplemented
489C2×C4×D43C2414yescomplemented
490C2×Dic86C2414yescomplemented
491C2×Dic86C2414yescomplemented
492C4⋊C4×C43C2418yescomplemented
493C4⋊C4×C43C2414yescomplemented
494C4⋊C4×C43C2414yescomplemented
495C4⋊C4×C43C2418yescomplemented
496C22⋊C4×C43C2414yes—
497C22⋊C4×C43C2414yes—
498C22⋊C4×C43C2414yes—
499C22⋊C4×C43C2414yes—
500C22⋊C4×C43C2418yes—
501C22⋊C4×C43C2418yes—
502C22⋊C4×C43C2418yes—
503C22⋊C4×C43C2418yescomplemented
504C22⋊C4×C43C2418yescomplemented
505C42×C43C2418yescomplemented
506C22⋊Dic43C2418yes—
507C22⋊Dic43C2414yes—
508C22⋊Dic43C2414yes—
509C22⋊Dic43C2418yes—
510C22⋊Dic43C2418yescomplemented
511(C2×D43)⋊C4C2418yes—
512(C2×D43)⋊C4C2418yes—
513(C2×D43)⋊C4C2418yes—
514(C2×D43)⋊C4C2418yes—
515(C2×D43)⋊C4C2418yes—
516(C2×D43)⋊C4C2418yes—
517(C2×D43)⋊C4C2418yes—
518(C2×D43)⋊C4C2418yes—
519(C2×D43)⋊C4C2418yes—
520(C2×D43)⋊C4C2418yes—
521(C2×D43)⋊C4C2418yescomplemented
522(C2×D43)⋊C4C2418yescomplemented
523(C2×D43)⋊C4C2418yescomplemented
524(C2×D43)⋊C4C2418yescomplemented
525(C2×D43)⋊C4C2418yescomplemented
526(C2×D43)⋊C4C2418yescomplemented
527C4⋊Dic43C2418yescomplemented
528C4⋊Dic43C2414yescomplemented
529C4⋊Dic43C2414yescomplemented
530Dic43⋊C4C2418yescomplemented
531Dic43⋊C4C2418yescomplemented
532Dic43⋊C4C2418yescomplemented
533Dic43⋊C4C2418yescomplemented
534C4×Dic43C2418yescomplemented
535C4×Dic43C2418yescomplemented
536C23×C43—22no—
537C23×C43—24no—
538C23×C43—28no—
539C23×C43—22no—
540C23×C43—28no—
541C23×C43—24no—
542C23×C43—42no—
543C23×C43—44no—
544C23×C43—42no—
545C23×C43—44no—
546C23×C43—416no—
547C23×C43H(5,𝔽2)14yescomplemented
548C23×C43C2512yes—
549C23×C43C2514yes—
550C23×C43C2512yes—
551C23×C43C2511yescharacteristic
552C23×C43C2512yes—
553C22×D43—24no—
554C22×D43—28no—
555C22×D43—24no—
556C22×D43—24no—
557C22×D43—28no—
558C22×D43—28no—
559C22×D43—28no—
560C22×D43—28no—
561C22×D43—24no—
562C22×D43—24no—
563C22×D43—28no—
564C22×D43—28no—
565C22×D43—28no—
566C22×D43—28no—
567C22×D43—28no—
568C22×D43—216no—
569C22×D43—42no—
570C22×D43—42no—
571C22×D43—42no—
572C22×D43—44no—
573C22×D43—44no—
574C22×D43—44no—
575C22×D43—44no—
576C22×D43—44no—
577C22×D43—44no—
578C22×D43—44no—
579C22×D43—42no—
580C22×D43—42no—
581C22×D43—42no—
582C22×D43—44no—
583C22×D43—44no—
584C22×D43—44no—
585C22×D43—48no—
586C22×D43—48no—
587C22×D43—44no—
588C22×D43—48no—
589C22×D43—44no—
590C22×D43—464no—
591C22×D43—432no—
592C22×D43—432no—
593C22×D43—432no—
594C22×D43—464no—
595C22×D43—816no—
596C22×D43—88no—
597C22×D43H(5,𝔽2)18yescomplemented
598C22×D43C2514yes—
599C22×D43C2514yes—
600C22×D43C2514yes—
601C22×D43C2514yes—
602Q8×C43—44no—
603D4×C43—216no—
604D4×C43—28no—
605D4×C43—28no—
606D4×C43—48no—
607D4×C43—44no—
608C2×C4×C43—24no—
609C2×C4×C43—28no—
610C2×C4×C43—44no—
611C2×C4×C43—42no—
612C2×C4×C43—44no—
613C2×C4×C43—42no—
614C2×C4×C43—48no—
615C2×C4×C43C2514yes—
616C2×C4×C43C2518yes—
617C2×C4×C43C2514yes—
618C2×C4×C43C2514yes—
619C22⋊D43—216no—
620C22⋊D43—28no—
621C22⋊D43—28no—
622C22⋊D43—28no—
623C22⋊D43—28no—
624C22⋊D43—216no—
625C22⋊D43—48no—
626C22⋊D43—48no—
627C22⋊D43—48no—
628C22⋊D43—48no—
629C22⋊D43—44no—
630C22⋊D43—44no—
631C22⋊D43—48no—
632C2×Dic43—24no—
633C2×Dic43—24no—
634C2×Dic43—44no—
635C2×Dic43—44no—
636C2×Dic43—44no—
637C2×Dic43C2518yes—
638C2×Dic43C2514yes—
639C2×Dic43C2514yes—
640D172—216no—
641D172—216no—
642D172—216no—
643D172—48no—
644D172—48no—
645D172—44no—
646D172—48no—
647D172—48no—
648D172—48no—
649D172—44no—
650C4×D43—216no—
651C4×D43—48no—
652C4×D43—48no—
653C4×D43—44no—
654C4×D43—44no—
655C4×D43—48no—
656C4×D43—48no—
657Dic86—44no—
658Dic86—44no—
659#62817—431nomaximal, Sylow
660C22×C43—28no—
661C22×C43—22no—
662C22×C43—22no—
663C22×C43—24no—
664C22×C43—22no—
665C22×C43—24no—
666C22×C43—28no—
667C22×C43—22no—
668C22×C43—24no—
669C22×C43—44no—
670C22×C43—416no—
671C22×C43—44no—
672C22×C43—84no—
673C22×C43C2×H(5,𝔽2)14yes—
674C22×C43C2×H(5,𝔽2)12yes—
675C22×C43C2×H(5,𝔽2)14yes—
676C22×C43C2611yescharacteristic
677C2×D43—216no—
678C2×D43—24no—
679C2×D43—24no—
680C2×D43—24no—
681C2×D43—24no—
682C2×D43—24no—
683C2×D43—28no—
684C2×D43—28no—
685C2×D43—24no—
686C2×D43—24no—
687C2×D43—48no—
688C2×D43—48no—
689C2×D43—416no—
690C2×D43—416no—
691C2×D43—416no—
692C2×D43—416no—
693C2×D43—48no—
694C2×D43—48no—
695C2×D43—48no—
696C2×D43—816no—
697C2×D43—84no—
698C2×D43—88no—
699C2×D43—84no—
700C2×D43—164no—
701C2×D43C2×H(5,𝔽2)18yes—
702C4×C43—24no—
703C4×C43—24no—
704C4×C43—28no—
705C4×C43—24no—
706Dic43—28no—
707Dic43—24no—
708Dic43—24no—
709#3532—438no—
710#3532—438no—
711#3532—438no—
712#3490—438no—
713#3490—432no—
714#3490—434no—
715#3490—432no—
716#3490—431no—
717#3490D4311yescharacteristic, complemented
718#3484—438no—
719#3484—432no—
720#3484—434no—
721#3484—432no—
722#3484—432no—
723C22×#120—432no—
724C22×#120—431no—
725C2×C43—24no—
726C2×C43—24no—
727C2×C43—22no—
728C2×C43—42no—
729C2×C43—44no—
730C2×C43C22×H(5,𝔽2)12yes—
731C2×C43C22×H(5,𝔽2)11yescharacteristic
732D43—28no—
733D43—44no—
734D43—44no—
735D43—44no—
736C26—431no—
737C2×H(5,𝔽2)—434no—
738C2×H(5,𝔽2)—432no—
739C23×D4—431no—
740C23×D4—432no—
741C23×D4—434no—
742C23×D4—432no—
743H(3,𝔽4)—438no—
744#560—438no—
745#560—438no—
746#560—438no—
747#551—438no—
748#551—438no—
749#551—438no—
750#551—438no—
751#551—438no—
752#551—438no—
753#551—438no—
754#551—438no—
755#551C2×D4318yescomplemented
756#546—438no—
757#546—438no—
758#546—438no—
759#546—438no—
760#546—438no—
761#546—438no—
762#546—438no—
763#546—438no—
764#546—438no—
765#546—438no—
766#546—438no—
767#546—438no—
768#546—438no—
769#546—438no—
770#546—438no—
771#546—438no—
772#546—438no—
773#546C2×D4318yescomplemented
774D42—438no—
775D42—438no—
776D42—438no—
777D42—438no—
778D42—438no—
779D42—438no—
780D42—438no—
781D42—438no—
782D42—438no—
783#543—434no—
784#543—431no—
785#543C2×D4311yescharacteristic, complemented
786#538—438no—
787#538—438no—
788#538—438no—
789#538—438no—
790#538—438no—
791#538—434no—
792#538—434no—
793#538—438no—
794#538—438no—
795#538—434no—
796#538C2×D4314yescomplemented
797#535—434no—
798#535—438no—
799#535—438no—
800#535—434no—
801#535—434no—
802#535—434no—
803#535—434no—
804#534—432no—
805#534—438no—
806#534—434no—
807#534—438no—
808#534—438no—
809#534—434no—
810#534—438no—
811#534—434no—
812#534—432no—
813#534—431no—
814#534—434no—
815#534C2×D4311yescharacteristic, complemented
816#525—434no—
817#525—434no—
818#525—438no—
819#525—434no—
820#525—438no—
821#525—434no—
822#525C2×D4314yescomplemented
823C2×#120—432no—
824C2×#120—432no—
825C2×#120—434no—
826C2×#120—438no—
827C2×#120—438no—
828C2×#120—438no—
829C2×#120—438no—
830C2×#120—434no—
831C2×#120—434no—
832C2×#120—432no—
833C2×#120—432no—
834C2×#120—432no—
835C2×#120—438no—
836C2×#120—434no—
837C2×#120—438no—
838C2×#120—434no—
839C2×#120—434no—
840C2×#120C2×D4312yescomplemented
841#518—438no—
842#518—434no—
843#518—432no—
844#518—432no—
845#518C2×D4312yescomplemented
846C22×C22⋊C4—432no—
847C22×C22⋊C4—432no—
848C22×C22⋊C4—434no—
849C22×C22⋊C4C2×D4311yescharacteristic, complemented
850C43#6281711yescharacteristic, complemented, Sylow
851C25—434no—
852C25—432no—
853C25—432no—
854C25—432no—
855C25—434no—
856C25—432no—
857C25—431no—
858C25—1724no—
859C25—1728no—
860C25C22×D4311yescharacteristic
861H(5,𝔽2)—1728no—
862H(5,𝔽2)—17216no—
863C2×#41—438no—
864C2×#41—434no—
865C2×#41—434no—
866C2×#41—434no—
867C2×#41—434no—
868C2×#41—438no—
869C2×#41C22×D4314yescomplemented
870C22×D4—432no—
871C22×D4—432no—
872C22×D4—432no—
873C22×D4—432no—
874C22×D4—434no—
875C22×D4—438no—
876C22×D4—434no—
877C22×D4—434no—
878C22×D4—438no—
879C22×D4—438no—
880C22×D4—438no—
881C22×D4—438no—
882C22×D4—438no—
883C22×D4—438no—
884C22×D4—438no—
885C22×D4—434no—
886C22×D4—434no—
887C22×D4—438no—
888C22×D4—434no—
889C22×D4—434no—
890C22×D4—432no—
891C22×D4—434no—
892C22×D4—434no—
893C22×D4—434no—
894C22×D4—438no—
895C22×D4—438no—
896C22×D4—1728no—
897C22×D4—1728no—
898C22×D4—17216no—
899C22×D4—1724no—
900C22×D4C22×D4312yes—
901C22×D4C22×D4314yescomplemented
902C23×C4—431no—
903C23×C4—432no—
904C23×C4—434no—
905C23×C4C22×D4312yescomplemented
906#127—438no—
907#127—438no—
908#127—438no—
909#126—438no—
910#126—438no—
911#126—438no—
912#126—438no—
913#126—438no—
914#126C22×D4318yescomplemented
915#124—438no—
916#124—438no—
917#124—438no—
918#124—438no—
919#124—438no—
920#124—438no—
921#124—438no—
922#124—438no—
923#124C22×D4318yescomplemented
924#123—434no—
925#123—438no—
926#123—434no—
927#123—438no—
928#123—438no—
929#123—438no—
930#123—438no—
931#123—438no—
932#123—438no—
933#123—438no—
934#123—438no—
935#123—434no—
936#123—434no—
937#123—434no—
938#123—438no—
939#123—438no—
940#123—438no—
941#123—438no—
942#123C22×D4318yescomplemented
943#123C22×D4314yescomplemented
944#123C22×D4318yescomplemented
945C22⋊Q8—438no—
946C22⋊Q8—434no—
947C22⋊Q8—434no—
948C22⋊Q8—438no—
949C22⋊Q8—438no—
950C22⋊Q8—438no—
951C22⋊Q8—438no—
952C22⋊Q8—438no—
953C22⋊Q8C22×D4318yescomplemented
954C22⋊Q8C22×D4314yescomplemented
955C22⋊Q8C22×D4314yescomplemented
956#121—438no—
957#121—438no—
958#121—438no—
959#121—438no—
960#121—438no—
961#121—438no—
962#121—434no—
963#121—434no—
964#121—438no—
965#121—438no—
966#121—438no—
967#121—438no—
968#121—438no—
969#121—438no—
970#121—438no—
971#121—438no—
972#121—438no—
973#121—438no—
974#121—438no—
975#121—438no—
976#121—438no—
977#121—438no—
978#121—438no—
979#121—438no—
980#121—438no—
981#121—438no—
982#121C22×D4318yescomplemented
983#121C22×D4314yescomplemented
984#121C22×D4314yescomplemented
985#120—434no—
986#120—434no—
987#120—438no—
988#120—434no—
989#120—434no—
990#120—438no—
991#120—434no—
992#120—438no—
993#120—438no—
994#120—438no—
995#120—438no—
996#120—438no—
997#120—434no—
998#120—438no—
999#120—438no—
1000#120—434no—
1001#120—434no—
1002#120—434no—
1003#120—438no—
1004#120—438no—
1005#120—438no—
1006#120—438no—
1007#120—434no—
1008#120—434no—
1009#120—434no—
1010#120—438no—
1011#120—438no—
1012#120—438no—
1013#120—438no—
1014#120—438no—
1015#120—438no—
1016#120—438no—
1017#120—434no—
1018#120—438no—
1019#120—434no—
1020#120—434no—
1021#120—438no—
1022#120—438no—
1023#120—438no—
1024#120—438no—
1025#120—438no—
1026#120C22×D4318yes—
1027#120C22×D4314yescomplemented
1028#120C22×D4314yescomplemented
1029#120C22×D4314yescomplemented
1030C4×D4—438no—
1031C4×D4—438no—
1032C4×D4—438no—
1033C4×D4—438no—
1034C4×D4—438no—
1035C4×D4—438no—
1036C4×D4—438no—
1037C4×D4—438no—
1038C4×D4—438no—
1039C4×D4—438no—
1040C4×D4—438no—
1041C4×D4—438no—
1042C4×D4—438no—
1043C4×D4—438no—
1044C4×D4—438no—
1045C4×D4C22×D4318yescomplemented
1046C4×D4C22×D4318yescomplemented
1047C4×D4C22×D4318yescomplemented
1048#117—434no—
1049#117—438no—
1050#117—434no—
1051#117—434no—
1052#117—438no—
1053#117C22×D4314yescomplemented
1054#117C22×D4314yescomplemented
1055C2×C22⋊C4—432no—
1056C2×C22⋊C4—434no—
1057C2×C22⋊C4—434no—
1058C2×C22⋊C4—434no—
1059C2×C22⋊C4—434no—
1060C2×C22⋊C4—434no—
1061C2×C22⋊C4—434no—
1062C2×C22⋊C4—434no—
1063C2×C22⋊C4—438no—
1064C2×C22⋊C4—434no—
1065C2×C22⋊C4—438no—
1066C2×C22⋊C4—438no—
1067C2×C22⋊C4—438no—
1068C2×C22⋊C4—438no—
1069C2×C22⋊C4—438no—
1070C2×C22⋊C4—438no—
1071C2×C22⋊C4—438no—
1072C2×C22⋊C4—434no—
1073C2×C22⋊C4—438no—
1074C2×C22⋊C4—434no—
1075C2×C22⋊C4—438no—
1076C2×C22⋊C4C22×D4312yes—
1077C2×C22⋊C4C22×D4311yescharacteristic
1078C2×C22⋊C4C22×D4311yescharacteristic
1079C2×C22⋊C4C22×D4314yescomplemented
1080C2×C22⋊C4C22×D4312yescomplemented
1081C2×C22⋊C4C22×D4318yescomplemented
1082C2×C22⋊C4C22×D4314yescomplemented
1083C24—24no—
1084C24—44no—
1085C24—432no—
1086C24—432no—
1087C24—432no—
1088C24—434no—
1089C24—434no—
1090C24—434no—
1091C24—434no—
1092C24—432no—
1093C24—432no—
1094C24—438no—
1095C24—434no—
1096C24—432no—
1097C24—432no—
1098C24—432no—
1099C24—434no—
1100C24—868no—
1101C24—8616no—
1102C24—868no—
1103C24—1724no—
1104C24—1722no—
1105C24—1724no—
1106C24—1724no—
1107C24—1724no—
1108C24—1728no—
1109C24—1728no—
1110C24—1728no—
1111C24—1724no—
1112C24—1728no—
1113C24—1728no—
1114C24—1728no—
1115C24—1728no—
1116C24—1728no—
1117C24—17264no—
1118C24C23×D4311yescharacteristic
1119C24C23×D4314yes—
1120C24C23×D4311yescharacteristic
1121C24C23×D4312yes—
1122C24C23×D4311yescharacteristic
1123#41—48no—
1124#41—1728no—
1125#41—1728no—
1126#41—17216no—
1127#41—1728no—
1128#41—1728no—
1129#41—17216no—
1130C2×Q8—434no—
1131C2×Q8—434no—
1132C2×Q8C23×D4314yescomplemented
1133C2×D4—28no—
1134C2×D4—48no—
1135C2×D4—438no—
1136C2×D4—438no—
1137C2×D4—434no—
1138C2×D4—434no—
1139C2×D4—434no—
1140C2×D4—434no—
1141C2×D4—438no—
1142C2×D4—438no—
1143C2×D4—438no—
1144C2×D4—438no—
1145C2×D4—438no—
1146C2×D4—434no—
1147C2×D4—434no—
1148C2×D4—438no—
1149C2×D4—438no—
1150C2×D4—438no—
1151C2×D4—438no—
1152C2×D4—438no—
1153C2×D4—438no—
1154C2×D4—438no—
1155C2×D4—438no—
1156C2×D4—434no—
1157C2×D4—434no—
1158C2×D4—8616no—
1159C2×D4—8632no—
1160C2×D4—868no—
1161C2×D4—868no—
1162C2×D4—1728no—
1163C2×D4—1724no—
1164C2×D4—1728no—
1165C2×D4—17216no—
1166C2×D4—1728no—
1167C2×D4—1728no—
1168C2×D4—17216no—
1169C2×D4—17216no—
1170C2×D4—1724no—
1171C2×D4—1724no—
1172C2×D4—17216no—
1173C2×D4—17216no—
1174C2×D4—17216no—
1175C2×D4—17216no—
1176C2×D4—1728no—
1177C2×D4—1728no—
1178C2×D4—17216no—
1179C2×D4—17216no—
1180C2×D4—1728no—
1181C2×D4—17216no—
1182C2×D4—1728no—
1183C2×D4—1728no—
1184C2×D4C23×D4318yes—
1185C2×D4C23×D4314yes—
1186C2×D4C23×D4314yes—
1187C2×D4C23×D4318yes—
1188C2×D4C23×D4314yescomplemented
1189C22×C4—44no—
1190C22×C4—432no—
1191C22×C4—432no—
1192C22×C4—434no—
1193C22×C4—434no—
1194C22×C4—434no—
1195C22×C4—438no—
1196C22×C4—438no—
1197C22×C4—438no—
1198C22×C4—438no—
1199C22×C4—438no—
1200C22×C4—434no—
1201C22×C4—434no—
1202C22×C4—1724no—
1203C22×C4—1728no—
1204C22×C4—1722no—
1205C22×C4C23×D4314yes—
1206C22×C4C23×D4312yes—
1207C22×C4C23×D4312yes—
1208C22×C4C23×D4314yes—
1209C22×C4C23×D4312yes—
1210C22×C4C23×D4314yes—
1211C22×C4C23×D4318yescomplemented
1212C4⋊C4—438no—
1213C4⋊C4—438no—
1214C4⋊C4—438no—
1215C4⋊C4—438no—
1216C4⋊C4—438no—
1217C4⋊C4—434no—
1218C4⋊C4—434no—
1219C4⋊C4C23×D4318yescomplemented
1220C4⋊C4C23×D4314yescomplemented
1221C4⋊C4C23×D4314yescomplemented
1222C4⋊C4C23×D4318yescomplemented
1223C22⋊C4—438no—
1224C22⋊C4—434no—
1225C22⋊C4—434no—
1226C22⋊C4—438no—
1227C22⋊C4—438no—
1228C22⋊C4—438no—
1229C22⋊C4—438no—
1230C22⋊C4—438no—
1231C22⋊C4—438no—
1232C22⋊C4—438no—
1233C22⋊C4—438no—
1234C22⋊C4—438no—
1235C22⋊C4—438no—
1236C22⋊C4—438no—
1237C22⋊C4—438no—
1238C22⋊C4—438no—
1239C22⋊C4—438no—
1240C22⋊C4—438no—
1241C22⋊C4—438no—
1242C22⋊C4—438no—
1243C22⋊C4—438no—
1244C22⋊C4C23×D4314yes—
1245C22⋊C4C23×D4318yes—
1246C22⋊C4C23×D4314yes—
1247C22⋊C4C23×D4318yes—
1248C22⋊C4C23×D4314yes—
1249C22⋊C4C23×D4314yes—
1250C22⋊C4C23×D4318yes—
1251C22⋊C4C23×D4318yescomplemented
1252C22⋊C4C23×D4318yescomplemented
1253C42—438no—
1254C42—438no—
1255C42C23×D4318yescomplemented
1256C23—24no—
1257C23—22no—
1258C23—28no—
1259C23—28no—
1260C23—22no—
1261C23—24no—
1262C23—42no—
1263C23—44no—
1264C23—42no—
1265C23—44no—
1266C23—416no—
1267C23—434no—
1268C23—438no—
1269C23—434no—
1270C23—434no—
1271C23—434no—
1272C23—868no—
1273C23—8616no—
1274C23—868no—
1275C23—868no—
1276C23—868no—
1277C23—868no—
1278C23—868no—
1279C23—864no—
1280C23—868no—
1281C23—864no—
1282C23—864no—
1283C23—868no—
1284C23—864no—
1285C23—868no—
1286C23—868no—
1287C23—864no—
1288C23—3448no—
1289C23—34416no—
1290C23—1724no—
1291C23—1724no—
1292C23—1724no—
1293C23—1724no—
1294C23—1728no—
1295C23—1728no—
1296C23—1722no—
1297C23—1724no—
1298C23—1722no—
1299C23—1724no—
1300C23—1724no—
1301C23—1722no—
1302C23—1724no—
1303C23—1722no—
1304C23—1724no—
1305C23—1724no—
1306C23—1722no—
1307C23—1724no—
1308C23—1722no—
1309C23—1728no—
1310C23—1724no—
1311C23—17232no—
1312C23—17232no—
1313C23—17264no—
1314C23—17264no—
1315C23—17232no—
1316C23#1306337114yescomplemented
1317C23C24×D4312yes—
1318C23C24×D4314yes—
1319C23C24×D4312yes—
1320C23C24×D4311yescharacteristic
1321C23C24×D4312yes—
1322Q8—44no—
1323Q8—1724no—
1324Q8—1724no—
1325D4—216no—
1326D4—28no—
1327D4—28no—
1328D4—48no—
1329D4—44no—
1330D4—8616no—
1331D4—8616no—
1332D4—8616no—
1333D4—8616no—
1334D4—8616no—
1335D4—868no—
1336D4—868no—
1337D4—868no—
1338D4—868no—
1339D4—1728no—
1340D4—1728no—
1341D4—1728no—
1342D4—1728no—
1343D4—1724no—
1344D4—1728no—
1345D4—1724no—
1346D4—1728no—
1347D4—1728no—
1348D4—1728no—
1349D4—1728no—
1350D4—1728no—
1351D4—1724no—
1352D4—1724no—
1353C2×C4—28no—
1354C2×C4—24no—
1355C2×C4—42no—
1356C2×C4—44no—
1357C2×C4—42no—
1358C2×C4—44no—
1359C2×C4—48no—
1360C2×C4—438no—
1361C2×C4—434no—
1362C2×C4—434no—
1363C2×C4—8616no—
1364C2×C4—864no—
1365C2×C4—864no—
1366C2×C4—1728no—
1367C2×C4—1728no—
1368C2×C4—1728no—
1369C2×C4—1728no—
1370C2×C4—1724no—
1371C2×C4—1724no—
1372C2×C4—1724no—
1373C2×C4—1724no—
1374C2×C4—1724no—
1375C2×C4C24×D4314yes—
1376C2×C4C24×D4318yes—
1377C2×C4C24×D4314yes—
1378C2×C4C24×D4314yes—
1379C22—28no—
1380C22—22no—
1381C22—22no—
1382C22—24no—
1383C22—22no—
1384C22—28no—
1385C22—24no—
1386C22—24no—
1387C22—22no—
1388C22—44no—
1389C22—416no—
1390C22—44no—
1391C22—84no—
1392C22—438no—
1393C22—8616no—
1394C22—864no—
1395C22—864no—
1396C22—868no—
1397C22—868no—
1398C22—864no—
1399C22—864no—
1400C22—864no—
1401C22—864no—
1402C22—864no—
1403C22—3448no—
1404C22—3444no—
1405C22—3444no—
1406C22—34416no—
1407C22—1728no—
1408C22—17216no—
1409C22—17216no—
1410C22—17216no—
1411C22—1728no—
1412C22—1728no—
1413C22—1728no—
1414C22—17216no—
1415C22—1728no—
1416C22—6884no—
1417C22H(5,𝔽2)×D4314yes—
1418C22C2×#1306337114yes—
1419C22C2×#1306337112yes—
1420C22C25×D4311yescharacteristic
1421C4—24no—
1422C4—24no—
1423C4—28no—
1424C4—24no—
1425C4—868no—
1426C4—864no—
1427C4—864no—
1428C2—24no—
1429C2—22no—
1430C2—24no—
1431C2—42no—
1432C2—44no—
1433C2—868no—
1434C2—1724no—
1435C2—1724no—
1436C2—1724no—
1437C2C2×H(5,𝔽2)×D4312yes—
1438C2C22×#1306337111yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3490C2
hypercenter#3490D43
hypocenterC43#62817
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3490

Complements

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

NH ≅ G/Ntype
1. #19148751C2semidirect
2. #19148746C2semidirect
3. #19148744C2semidirect
4. #19148285C2semidirect
5. #19148284C2semidirect
6. #19148280C2semidirect
7. #19148279C2semidirect
8. #19148278C2semidirect
9. #19148231C2semidirect
10. #19148228C2semidirect
11. #19148227C2semidirect
12. #19148225C2semidirect
13. #19148224C2semidirect
14. C22×#13063295C2semidirect
15. C2×#120×D43C2semidirect
16. C43×#3490C2semidirect
17. C25×D43C22semidirect
18. C2×#13063371C22semidirect
19. C2×#13063370C22semidirect
20. C23×D172C22semidirect
21. C23×C22⋊D43C22semidirect
22. C22×D4×D43C22semidirect
23. C22×D4×D43C22semidirect
24. #14583641C22semidirect
25. #14583640C22semidirect
26. #14583639C22semidirect
27. #14583637C22semidirect
28. #14583578C22semidirect
29. #14583576C22semidirect
30. #14583576C22semidirect
31. #14583575C22semidirect
32. #14583574C22semidirect
33. #14583573C22semidirect
34. #14583573C22semidirect
35. #14583572C22semidirect
36. #14583545C22semidirect
37. #14583545C22semidirect
38. #14583544C22semidirect
39. #14583544C22semidirect
40. #14583542C22semidirect
41. #14583541C22semidirect
42. #14583541C22semidirect
43. #14583541C22semidirect
44. #14583540C22semidirect
45. #14583540C22semidirect
46. #14583540C22semidirect
47. #14583539C22semidirect
48. #14583539C22semidirect
49. #14583539C22semidirect
50. #14583538C22semidirect
51. #14583537C22semidirect
52. #14583536C22semidirect
53. D4×D172C22semidirect
54. D4×D172C22semidirect
55. D4×D172C22semidirect
56. #14583533C22semidirect
57. #14583533C22semidirect
58. #14583533C22semidirect
59. D4×C22⋊D43C22semidirect
60. #14583531C22semidirect
61. #14583531C22semidirect
62. #14583525C22semidirect
63. #14583524C22semidirect
64. #14583489C22semidirect
65. #14583489C22semidirect
66. #14583488C22semidirect
67. #14583488C22semidirect
68. #14583487C22semidirect
69. #14583486C22semidirect
70. #14583485C22semidirect
71. #14583483C22semidirect
72. #14583482C22semidirect
73. #14583482C22semidirect
74. #14583468C22semidirect
75. #14583468C22semidirect
76. #14583467C22semidirect
77. #14583465C22semidirect
78. #14583464C22semidirect
79. #14583464C22semidirect
80. #14583463C22semidirect
81. #14583461C22semidirect
82. #14583461C22semidirect
83. #14583461C22semidirect
84. #14583460C22semidirect
85. #14583460C22semidirect
86. #14583460C22semidirect
87. #14583460C22semidirect
88. #14583459C22semidirect
89. #14583458C22semidirect
90. #14583457C22semidirect
91. #14583457C22semidirect
92. #14583412C22semidirect
93. #14583411C22semidirect
94. #14583410C22semidirect
95. #14583408C22semidirect
96. #14583407C22semidirect
97. #14583405C22semidirect
98. C2×#13063295C22semidirect
99. C2×#13063295C22semidirect
100. C2×#13063295C22semidirect
101. C2×#13063295C22semidirect
102. C2×#13063295C22semidirect
103. C2×#13063295C22semidirect
104. C2×#13063295C22semidirect
105. C2×#13063295C22semidirect
106. C2×#13063294C22semidirect
107. C2×#13063293C22semidirect
108. C2×#13063293C22semidirect
109. #120×D43C22semidirect
110. #120×D43C22semidirect
111. #120×D43C22semidirect
112. #120×D43C22semidirect
113. #120×D43C22semidirect
114. #120×D43C22semidirect
115. #14583373C22semidirect
116. #14583372C22semidirect
117. #14583372C22semidirect
118. #14583371C22semidirect
119. C22×(C2×D43)⋊C4C22semidirect
120. C2×C22⋊C4×D43C22semidirect
121. C2×C22⋊C4×D43C22semidirect
122. C43×#551C22semidirect
123. C43×#546C22semidirect
124. C43×#543C22semidirect
125. C43×#538C22semidirect
126. C43×#534C22semidirect
127. C43×#525C22semidirect
128. C2×#120×C43C22semidirect
129. C43×#518C22semidirect
130. C22×C22⋊C4×C43C22semidirect
138. C24×D43C23semidirect
139. C24×D43C23semidirect
142. C2×#10621902C23semidirect
143. C2×#10621898C23semidirect
144. C2×#10621898C23semidirect
145. C2×#10621898C23semidirect
146. C2×#10621900C23semidirect
147. C2×#10621900C23semidirect
150. C22×D172C23semidirect
151. C22×D172C23semidirect
152. C22×D172C23semidirect
153. C22×D172C23semidirect
154. C22×D172C23semidirect
155. C22×D172C23semidirect
156. C22×D172C23semidirect
160. C22×C22⋊D43C23semidirect
161. C22×C22⋊D43C23semidirect
162. C22×C22⋊D43C23semidirect
163. C22×C22⋊D43C23semidirect
164. C22×C22⋊D43C23semidirect
165. C22×C22⋊D43C23semidirect
169. C2×D4×D43C23semidirect
170. C2×D4×D43C23semidirect
171. C2×D4×D43C23semidirect
172. C2×D4×D43C23semidirect
173. C2×D4×D43C23semidirect
174. C2×D4×D43C23semidirect
175. C2×D4×D43C23semidirect
176. C2×D4×D43C23semidirect
177. C2×D4×D43C23semidirect
178. C23×Dic43C23semidirect
179. C22×C4×D43C23semidirect
180. C22×C4×D43C23semidirect
181. #13063322C23semidirect
182. #13063321C23semidirect
183. #13063321C23semidirect
184. #13063320C23semidirect
185. #13063320C23semidirect
186. #13063320C23semidirect
187. #13063319C23semidirect
188. #13063318C23semidirect
189. #13063314C23semidirect
190. #13063314C23semidirect
191. #13063313C23semidirect
192. #13063313C23semidirect
193. #13063311C23semidirect
194. #13063311C23semidirect
195. #13063311C23semidirect
196. #13063311C23semidirect
197. #13063310C23semidirect
198. #13063310C23semidirect
199. #13063310C23semidirect
200. #13063310C23semidirect
201. #13063310C23semidirect
202. #13063310C23semidirect
203. #13063310C23semidirect
204. #13063309C23semidirect
205. #13063309C23semidirect
206. #13063309C23semidirect
207. #13063309C23semidirect
208. #13063308C23semidirect
209. #13063308C23semidirect
210. #13063308C23semidirect
211. #13063307C23semidirect
212. #13063307C23semidirect
213. #13063307C23semidirect
214. #13063306C23semidirect
215. #13063305C23semidirect
216. #13063304C23semidirect
217. #13063304C23semidirect
218. #13063303C23semidirect
219. #13063303C23semidirect
220. #13063302C23semidirect
221. #13063302C23semidirect
222. #13063301C23semidirect
223. #13063300C23semidirect
224. #13063300C23semidirect
225. #13063300C23semidirect
226. #13063300C23semidirect
227. #13063300C23semidirect
228. #13063300C23semidirect
229. #13063300C23semidirect
230. #13063299C23semidirect
231. #13063299C23semidirect
232. #13063299C23semidirect
233. #13063299C23semidirect
234. #13063299C23semidirect
235. #13063299C23semidirect
236. #13063298C23semidirect
237. #13063298C23semidirect
238. #13063298C23semidirect
239. #13063298C23semidirect
240. #13063298C23semidirect
241. #13063298C23semidirect
242. #13063298C23semidirect
243. #13063298C23semidirect
244. #13063297C23semidirect
245. #13063297C23semidirect
246. #13063297C23semidirect
247. #13063297C23semidirect
248. #13063296C23semidirect
254. #13063295C23semidirect
255. #13063295C23semidirect
256. #13063295C23semidirect
257. #13063295C23semidirect
258. #13063295C23semidirect
259. #13063295C23semidirect
260. #13063295C23semidirect
261. #13063295C23semidirect
262. #13063295C23semidirect
263. #13063295C23semidirect
264. #13063295C23semidirect
265. #13063295C23semidirect
266. #13063295C23semidirect
267. #13063295C23semidirect
268. #13063295C23semidirect
269. #13063295C23semidirect
270. #13063295C23semidirect
271. #13063295C23semidirect
272. #13063295C23semidirect
273. #13063295C23semidirect
274. #13063295C23semidirect
276. #13063294C23semidirect
277. #13063294C23semidirect
278. #13063294C23semidirect
281. #13063293C23semidirect
282. #13063293C23semidirect
283. #13063293C23semidirect
284. #13063293C23semidirect
285. #13063293C23semidirect
286. #13063293C23semidirect
287. #13063293C23semidirect
288. #13063293C23semidirect
289. #13063293C23semidirect
290. C4×D172C23semidirect
291. C4×D172C23semidirect
292. C4×D172C23semidirect
293. D4×Dic43C23semidirect
294. #13063287C23semidirect
295. #13063287C23semidirect
296. #13063287C23semidirect
297. C4×C22⋊D43C23semidirect
298. C4×C22⋊D43C23semidirect
299. C4×C22⋊D43C23semidirect
300. C4×C22⋊D43C23semidirect
301. (C22⋊D43)⋊C4C23semidirect
302. (C22⋊D43)⋊C4C23semidirect
303. (C22⋊D43)⋊C4C23semidirect
304. (C22⋊D43)⋊C4C23semidirect
305. #13063284C23semidirect
306. #13063283C23semidirect
307. #13063282C23semidirect
308. #13063281C23semidirect
309. #13063281C23semidirect
311. C2×C22⋊Dic43C23semidirect
313. C2×(C2×D43)⋊C4C23semidirect
314. C2×(C2×D43)⋊C4C23semidirect
315. C2×(C2×D43)⋊C4C23semidirect
316. C2×(C2×D43)⋊C4C23semidirect
317. C2×(C2×D43)⋊C4C23semidirect
318. C2×(C2×D43)⋊C4C23semidirect
319. C2×(C2×D43)⋊C4C23semidirect
320. C2×(C2×D43)⋊C4C23semidirect
322. C22⋊C4×D43C23semidirect
323. C22⋊C4×D43C23semidirect
324. C22⋊C4×D43C23semidirect
325. C22⋊C4×D43C23semidirect
326. C22⋊C4×D43C23semidirect
327. C22⋊C4×D43C23semidirect
328. C22⋊C4×D43C23semidirect
329. C22⋊C4×D43C23semidirect
330. C22⋊C4×D43C23semidirect
332. C2×#41×C43C23semidirect
334. C22×D4×C43C23semidirect
335. C23×C4×C43C23semidirect
336. #126×C43C23semidirect
337. #124×C43C23semidirect
338. #123×C43C23semidirect
339. #123×C43C23semidirect
340. #123×C43C23semidirect
341. C22⋊Q8×C43C23semidirect
342. C22⋊Q8×C43C23semidirect
343. C22⋊Q8×C43C23semidirect
344. #121×C43C23semidirect
345. #121×C43C23semidirect
346. #121×C43C23semidirect
348. #120×C43C23semidirect
349. #120×C43C23semidirect
350. #120×C43C23semidirect
351. C4×D4×C43C23semidirect
352. C4×D4×C43C23semidirect
353. C4×D4×C43C23semidirect
354. #117×C43C23semidirect
355. #117×C43C23semidirect
359. C2×C22⋊C4×C43C23semidirect
360. C2×C22⋊C4×C43C23semidirect
361. C2×C22⋊C4×C43C23semidirect
362. C2×C22⋊C4×C43C23semidirect
402. C23×D43C24semidirect
404. C2×Q8×C43C24semidirect
411. C2×D4×C43C24semidirect
419. C22×C4×C43C24semidirect
438. C2×C22⋊D43C24semidirect
439. C2×C22⋊D43C24semidirect
440. C2×C22⋊D43C24semidirect
446. C22×Dic43C24semidirect
478. C2×D172C24semidirect
479. C2×D172C24semidirect
480. C2×D172C24semidirect
486. C2×C4×D43C24semidirect
487. C2×C4×D43C24semidirect
488. C2×C4×D43C24semidirect
489. C2×C4×D43C24semidirect
490. C2×Dic86C24semidirect
491. C2×Dic86C24semidirect
492. C4⋊C4×C43C24semidirect
493. C4⋊C4×C43C24semidirect
494. C4⋊C4×C43C24semidirect
495. C4⋊C4×C43C24semidirect
503. C22⋊C4×C43C24semidirect
504. C22⋊C4×C43C24semidirect
505. C42×C43C24semidirect
510. C22⋊Dic43C24semidirect
521. (C2×D43)⋊C4C24semidirect
522. (C2×D43)⋊C4C24semidirect
523. (C2×D43)⋊C4C24semidirect
524. (C2×D43)⋊C4C24semidirect
525. (C2×D43)⋊C4C24semidirect
526. (C2×D43)⋊C4C24semidirect
527. C4⋊Dic43C24semidirect
528. C4⋊Dic43C24semidirect
529. C4⋊Dic43C24semidirect
530. Dic43⋊C4C24semidirect
531. Dic43⋊C4C24semidirect
532. Dic43⋊C4C24semidirect
533. Dic43⋊C4C24semidirect
534. C4×Dic43C24semidirect
535. C4×Dic43C24semidirect
547. C23×C43H(5,𝔽2)semidirect
597. C22×D43H(5,𝔽2)semidirect
717. #3490D43semidirect
755. #551C2×D43semidirect
773. #546C2×D43semidirect
785. #543C2×D43semidirect
796. #538C2×D43semidirect
815. #534C2×D43semidirect
822. #525C2×D43semidirect
840. C2×#120C2×D43semidirect
845. #518C2×D43semidirect
849. C22×C22⋊C4C2×D43semidirect
850. C43#62817semidirect
869. C2×#41C22×D43semidirect
901. C22×D4C22×D43semidirect
905. C23×C4C22×D43semidirect
914. #126C22×D43semidirect
923. #124C22×D43semidirect
942. #123C22×D43semidirect
943. #123C22×D43semidirect
944. #123C22×D43semidirect
953. C22⋊Q8C22×D43semidirect
954. C22⋊Q8C22×D43semidirect
955. C22⋊Q8C22×D43semidirect
982. #121C22×D43semidirect
983. #121C22×D43semidirect
984. #121C22×D43semidirect
1027. #120C22×D43semidirect
1028. #120C22×D43semidirect
1029. #120C22×D43semidirect
1045. C4×D4C22×D43semidirect
1046. C4×D4C22×D43semidirect
1047. C4×D4C22×D43semidirect
1053. #117C22×D43semidirect
1054. #117C22×D43semidirect
1079. C2×C22⋊C4C22×D43semidirect
1080. C2×C22⋊C4C22×D43semidirect
1081. C2×C22⋊C4C22×D43semidirect
1082. C2×C22⋊C4C22×D43semidirect
1132. C2×Q8C23×D43semidirect
1188. C2×D4C23×D43semidirect
1211. C22×C4C23×D43semidirect
1219. C4⋊C4C23×D43semidirect
1220. C4⋊C4C23×D43semidirect
1221. C4⋊C4C23×D43semidirect
1222. C4⋊C4C23×D43semidirect
1251. C22⋊C4C23×D43semidirect
1252. C22⋊C4C23×D43semidirect
1255. C42C23×D43semidirect
1316. C23#13063371semidirect

Maximal subgroups

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

subgroupindex
#191487512
#191487462
#191487442
#191482852
#191482842
#191482802
#191482792
#191482782
#191482312
#191482282
#191482272
#191482252
#191482242
C22×#130632952
C2×#120×D432
C43×#34902
#6281743