Finite Group Databasebeta

← #26005208

Subgroups — #26005208

Order 11008.

7220 conjugacy classes of subgroups.

The subgroup lattice has 1352 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148704C212yesmaximal, complemented
2#19148691C211yesmaximal, characteristic, complemented
3#19148680C211yesmaximal, characteristic, complemented
4#19148663C216yesmaximal, complemented
5#19148644C213yesmaximal, complemented
6#19148627C213yesmaximal, complemented
7#19148612C211yesmaximal, characteristic, complemented
8#19148601C211yesmaximal, characteristic, complemented
9#19148588C212yesmaximal, complemented
10#19148573C213yesmaximal, complemented
11#19148556C213yesmaximal, complemented
12#19148535C216yesmaximal, complemented
13#19148188C213yesmaximal, complemented
14#41×Dic86C211yesmaximal, characteristic, complemented
15#19148159C213yesmaximal, complemented
16#19148149C216yesmaximal, complemented
17#41×D172C211yesmaximal, characteristic, complemented
18#41×C22⋊D43C212yesmaximal, complemented
19#19147980C216yesmaximal, complemented
20#19147891C213yesmaximal, complemented
21C2×#14583433C213yesmaximal, complemented
22#19147794C212yesmaximal, complemented
23C2×C4×#41×C43C211yesmaximal, characteristic, complemented
24C2×#41×D43C2212yes—
25#14583634C2213yescomplemented
26#14583632C2216yescomplemented
27Q8×Dic86C2211yescharacteristic, complemented
28#14583628C2211yescharacteristic, complemented
29#14583627C2213yescomplemented
30#14583625C2212yescomplemented
31#14583622C2213yescomplemented
32#14583621C2216yescomplemented
33#14583619C2213yescomplemented
34#14583617C2216yescomplemented
35#14583614C2213yescomplemented
36#14583612C2216yescomplemented
37#14583609C2213yescomplemented
38#14583608C2216yescomplemented
39#14583606C2213yescomplemented
40#14583604C2216yescomplemented
41#14583599C2216yescomplemented
42#14583598C22112yescomplemented
43#14583597C2216yescomplemented
44#14583595C2216yescomplemented
45#14583593C2216yescomplemented
46#14583590C2216yescomplemented
47#14583589C2216yescomplemented
48#14583588C2216yescomplemented
49#14583584C2216yescomplemented
50#14583582C22112yescomplemented
51#14583578C22112yescomplemented
52#14583575C22112yescomplemented
53#14583573C22112yescomplemented
54#14583571C2211yescharacteristic, complemented
55#14583570C2213yescomplemented
56#14583568C2212yescomplemented
57Q8×D172C2211yescharacteristic, complemented
58D4×Dic86C2213yescomplemented
59Q8×C22⋊D43C2212yescomplemented
60#14583561C2212yescomplemented
61#14583560C2212yescomplemented
62#14583558C2216yescomplemented
63#14583556C2212yescomplemented
64#14583554C2213yescomplemented
65#14583553C2213yescomplemented
66#14583550C2216yescomplemented
67#14583548C2216yescomplemented
68#14583545C2216yescomplemented
69#14583544C2216yescomplemented
70#14583543C2216yescomplemented
71#14583539C22112yescomplemented
72#14583537C2216yescomplemented
73D4×D172C2213yescomplemented
74D4×C22⋊D43C2216yescomplemented
75#14583521C2216yescomplemented
76#14583521C2216yescomplemented
77#14583514C2216yescomplemented
78#14583514C2216yescomplemented
79#14583507C2216yescomplemented
80#14583507C2216yescomplemented
81#14583500C2216yescomplemented
82#14583500C2216yescomplemented
83#14583491C22112yescomplemented
84#14583491C22112yescomplemented
85#14583482C22112yescomplemented
86#14583482C22112yescomplemented
87#14583456C2213yescomplemented
88#14583456C2213yescomplemented
89#14583456C2213yescomplemented
90#14583452C2216yescomplemented
91#14583449C2213yescomplemented
92#14583449C2213yescomplemented
93#14583449C2213yescomplemented
94#14583445C2216yescomplemented
95#14583433C2213yes—
96#14583433C2211yescharacteristic
97#14583433C2216yescomplemented
98#14583433C2213yescomplemented
99#14583433C2213yescomplemented
100#14583433C2216yescomplemented
101#14583433C2216yescomplemented
102#14583433C2213yescomplemented
103#14583433C2213yescomplemented
104#14583433C2216yescomplemented
105#14583433C2216yescomplemented
106#14583433C2213yescomplemented
107#14583433C2213yescomplemented
108#14583433C2216yescomplemented
109#14583433C2216yescomplemented
110#14583433C2216yescomplemented
111#14583433C2216yescomplemented
112#14583427C22112yescomplemented
113#14583427C22112yescomplemented
114C2×#13063319C2216yescomplemented
115C2×#13063317C2213yescomplemented
116C2×#13063313C2213yescomplemented
117#14583411C2216yescomplemented
118#14583410C2216yescomplemented
119#14583410C2216yescomplemented
120#14583410C2216yescomplemented
121#14583406C2216yescomplemented
122C2×#13063308C2216yescomplemented
123C2×#13063304C2213yescomplemented
124C2×#13063299C2213yes—
125#14583381C2212yescomplemented
126#14583381C2212yescomplemented
127#14583378C2216yescomplemented
128#14583378C2216yescomplemented
129#14583375C2212yescomplemented
130#14583375C2212yescomplemented
131#14583371C2216yescomplemented
132#14583371C2216yescomplemented
133#41×Dic43C2212yes—
134C4×#10621898C2216yescomplemented
135C4×#10621898C2216yescomplemented
136C4×#10621898C2216yescomplemented
137#14583367C2216yescomplemented
138C2×C4×Dic86C2213yescomplemented
139C2×C4×D172C2213yescomplemented
140C2×C4×C22⋊D43C2216yescomplemented
141C2×#13063282C2216yescomplemented
142#117×D43C2216yescomplemented
143C22×#41×C43C2211yescharacteristic
144C4×#41×C43C2211yescharacteristic
145C4×#41×C43C2211yescharacteristic
146C4×#41×C43C2213yescomplemented
147C4×#41×C43C2211yescharacteristic, complemented
148C4×#41×C43C2213yescomplemented
149C4×#41×C43C2213yescomplemented
150C4×#41×C43C2211yescharacteristic, complemented
151C4×#41×C43C2213yescomplemented
152C2×C4×Q8×C43C2211yescharacteristic, complemented
153C2×C4×Q8×C43C2211yescharacteristic, complemented
154C2×C4×D4×C43C2213yescomplemented
155C2×C4×D4×C43C2213yescomplemented
156C2×#117×C43C2213yescomplemented
157C22×C42×C43C2213yescomplemented
158C2×#10621902C2312yes—
159C2×#10621898C2316yes—
160C2×#10621898C2316yes—
161C2×#10621898C2316yes—
162C2×#10621900C2316yes—
163#41×D43—216no—
164C22×Dic86C2313yes—
165C2×Q8×D43C2312yes—
166C22×D172C2313yes—
167C22×C22⋊D43C2316yes—
168C2×D4×D43C2316yes—
169C22×C4×D43C2316yes—
170#13063325C2313yes—
171#13063325C2313yes—
172#13063325C2313yes—
173#13063324C2316yes—
174#13063324C2316yes—
175#13063323C2316yes—
176#13063322C2313yes—
177#13063321C2316yes—
178#13063320C23112yes—
179#13063320C23112yes—
180#13063319C2316yes—
181#13063319C2316yes—
182#13063319C2316yes—
183#13063319C2316yes—
184#13063319C2312yes—
185#13063319C2316yes—
186#13063319C2316yes—
187#13063319C2316yes—
188#13063319C23112yes—
189#13063318C23112yes—
190#13063318C23112yes—
191#13063317C2316yes—
192#13063317C2313yes—
193#13063317C2316yes—
194#13063317C2313yes—
195#13063317C2311yescharacteristic
196#13063317C2313yes—
197#13063317C2316yes—
198#13063317C2316yes—
199#13063316C2316yes—
200#13063316C2316yes—
201#13063315C23112yes—
202#13063315C23112yes—
203#13063314C2316yes—
204#13063313C2313yes—
205#13063313C2316yes—
206#13063313C2316yes—
207#13063313C2313yes—
208#13063313C2311yescharacteristic
209#13063313C2313yes—
210#13063313C2316yes—
211#13063313C2316yes—
212#13063312C2316yes—
213#13063311C23112yes—
214#13063311C23112yes—
215#13063310C23112yes—
216#13063310C23112yes—
217#13063309C23112yes—
218#13063308C23112yes—
219#13063308C2316yes—
220#13063308C2316yes—
221#13063308C2316yes—
222#13063308C2316yes—
223#13063308C2312yes—
224#13063308C2316yes—
225#13063308C2316yes—
226#13063308C2316yes—
227#13063308C23112yes—
228#13063307C23112yes—
229#13063307C23112yes—
230#13063306C23112yes—
231#13063305C2316yes—
232#13063305C2316yes—
233#13063304C2313yes—
234#13063304C2316yes—
235#13063304C2313yes—
236#13063304C2316yes—
237#13063304C2316yes—
238#13063304C2316yes—
239#13063304C2316yes—
240#13063304C2311yescharacteristic
241#13063304C2313yes—
242#13063304C2316yes—
243#13063304C2316yes—
244#13063303C23112yes—
245#13063303C23112yes—
246#13063302C23112yes—
247#13063302C23112yes—
248#13063301C2316yes—
249#13063301C2316yes—
250#13063300C2316yes—
251#13063300C2316yes—
252#13063299C2316yes—
253#13063299C2316yes—
254#13063299C2316yes—
255#13063299C2313yes—
256#13063299C2316yes—
257#13063299C2316yes—
258#13063299C2313yes—
259#13063299C2311yescharacteristic
260#13063299C2313yes—
261#13063299C2316yes—
262#13063299C2316yes—
263#13063298C23112yes—
264#13063298C23112yes—
265#13063297C23112yes—
266#13063297C23112yes—
267#13063296C2316yes—
268#13063296C2316yes—
269#13063295C23112yes—
270#13063294C23112yes—
271#13063293C23112yes—
272Q8×Dic43C2312yes—
273Q8×Dic43C2312yes—
274C4×Dic86C2316yes—
275C4×Dic86C2313yes—
276C4×Dic86C2313yes—
277C4×Dic86C2316yes—
278C4×Dic86C2316yes—
279C4×Dic86C2311yescharacteristic
280C4×Dic86C2313yes—
281C4×Dic86C2316yes—
282C4×Dic86C2316yes—
283C4×Dic86C2316yes—
284C4×Dic86C2316yes—
285#13063290C2316yes—
286#13063290C2316yes—
287C4×D172C2313yes—
288C4×D172C2316yes—
289C4×D172C2313yes—
290C4×D172C2316yes—
291C4×D172C2316yes—
292C4×D172C2311yescharacteristic
293C4×D172C2313yes—
294C4×D172C2316yes—
295C4×D172C2316yes—
296C4×D172C2316yes—
297C4×D172C2316yes—
298D4×Dic43C2316yes—
299D4×Dic43C2316yes—
300#13063287C2316yes—
301#13063287C2316yes—
302C4×C22⋊D43C2316yes—
303C4×C22⋊D43C2316yes—
304C4×C22⋊D43C2316yes—
305C4×C22⋊D43C2316yes—
306C4×C22⋊D43C23112yes—
307C4×C22⋊D43C23112yes—
308C4×C22⋊D43C2312yes—
309C4×C22⋊D43C2316yes—
310C4×C22⋊D43C2316yes—
311C4×C22⋊D43C2316yes—
312C4×C22⋊D43C23112yes—
313C4×C22⋊D43C23112yes—
314C4×C22⋊D43C23112yes—
315(C22⋊D43)⋊C4C23112yes—
316(C22⋊D43)⋊C4C23112yes—
317#13063284C2316yes—
318#13063284C2316yes—
319#13063284C2316yes—
320#13063283C2316yes—
321#13063283C2316yes—
322#13063282C23112yes—
323#13063282C23112yes—
324#13063282C2316yes—
325#13063282C2312yes—
326#13063282C2316yes—
327#13063282C2316yes—
328#13063282C2316yes—
329#13063282C2316yes—
330#13063282C2316yes—
331#13063282C2316yes—
332#13063281C23112yes—
333C2×C4⋊Dic43C2313yes—
334C2×C4⋊Dic43C2313yes—
335C2×Dic43⋊C4C2316yes—
336C2×Dic43⋊C4C2316yes—
337C2×Dic43⋊C4C2316yes—
338C2×Dic43⋊C4C2316yes—
339C4⋊C4×D43C2316yes—
340C4⋊C4×D43C2316yes—
341C2×C22⋊Dic43C2316yes—
342C2×(C2×D43)⋊C4C2316yes—
343C2×(C2×D43)⋊C4C2316yes—
344C2×(C2×D43)⋊C4C2316yes—
345C2×(C2×D43)⋊C4C2316yes—
346C22⋊C4×D43C23112yes—
347C2×C4×Dic43C2316yes—
348C42×D43C23112yes—
349C2×#41×C43—28no—
350C2×#41×C43C2311yescharacteristic
351C2×#41×C43C2313yes—
352C2×#41×C43C2313yes—
353C2×#41×C43C2311yescharacteristic
354C22×Q8×C43C2311yescharacteristic
355C22×D4×C43C2313yes—
356C23×C4×C43C2313yes—
357C23×C4×C43C2313yes—
358C23×C4×C43C2313yes—
359C4×Q8×C43C2311yescharacteristic
360C4×Q8×C43C2311yescharacteristic
361C4×Q8×C43C2311yescharacteristic
362C4×Q8×C43C2311yescharacteristic
363C4×Q8×C43C2313yes—
364C4×Q8×C43C2313yes—
365C4×Q8×C43C2313yes—
366C4×Q8×C43C2313yes—
367C4×D4×C43C2313yes—
368C4×D4×C43C2313yes—
369C4×D4×C43C2316yes—
370C4×D4×C43C2313yes—
371C4×D4×C43C2313yes—
372C4×D4×C43C2313yes—
373C4×D4×C43C2316yes—
374C4×D4×C43C2313yes—
375C4×D4×C43C2316yes—
376C4×D4×C43C2316yes—
377C4×D4×C43C2313yes—
378C4×D4×C43C2313yes—
379#117×C43C2313yes—
380#117×C43C2313yes—
381#117×C43C2316yes—
382#117×C43C2313yes—
383#117×C43C2313yes—
384#117×C43C2316yes—
385C2×C4⋊C4×C43C2313yes—
386C2×C4⋊C4×C43C2313yes—
387C2×C22⋊C4×C43C2316yes—
388C2×C42×C43C2311yescharacteristic
389C2×C42×C43C2313yes—
390C2×C42×C43C2313yes—
391C2×C42×C43C2313yes—
392C2×C42×C43C2313yes—
393C2×C42×C43C2313yes—
394C2×C42×C43C2313yes—
395C2×C42×C43C2313yes—
396C2×C42×C43C2313yes—
397C2×C42×C43C2313yes—
398C2×C42×C43C2313yes—
399C2×C42×C43C2313yes—
400C24×C43C2413yes—
401C23×D43C2416yes—
402#41×C43—24no—
403#41×C43—212no—
404#41×C43—212no—
405#41×C43#4118yescomplemented
406C2×Q8×C43—24no—
407C2×Q8×C43C2413yes—
408C2×Q8×C43C2411yescharacteristic
409C2×D4×C43—212no—
410C2×D4×C43C2416yes—
411C2×D4×C43C2413yes—
412C2×D4×C43C2413yes—
413C22×C4×C43—212no—
414C22×C4×C43—46no—
415C22×C4×C43—46no—
416C22×C4×C43C2411yescharacteristic
417C22×C4×C43C2411yescharacteristic
418C22×C4×C43C2411yescharacteristic
419C22×C4×C43C2413yes—
420C22×C4×C43C2413yes—
421C22×C4×C43C2413yes—
422C22×C4×C43C2413yes—
423C22×C4×C43C2413yes—
424C22×C4×C43C2413yes—
425C22×C4×C43C2413yes—
426C22×C4×C43C2413yes—
427C22×C4×C43C2413yes—
428C22×C4×C43C2413yes—
429C22×C4×C43C2413yes—
430C22×C4×C43C2413yes—
431C22×C4×C43C2413yes—
432C22×C4×C43C2413yes—
433C22×C4×C43C2413yes—
434C2×C22⋊D43—412no—
435C2×C22⋊D43C24112yes—
436C2×C22⋊D43C2416yes—
437C2×C22⋊D43C2412yes—
438C2×C22⋊D43C2416yes—
439C2×C22⋊D43C24112yes—
440C2×C22⋊D43C2416yes—
441C22×Dic43C2416yes—
442C22×Dic43C2416yes—
443C22×Dic43C2416yes—
444#10621902—28no—
445Q8×D43—28no—
446#10621900—224no—
447D4×D43—224no—
448#10621898—224no—
449#10621898—412no—
450#10621898—412no—
451C2×D172—46no—
452C2×D172C2416yes—
453C2×D172C2411yescharacteristic
454C2×D172C2413yes—
455C2×D172C2416yes—
456C2×D172C2416yes—
457C2×C4×D43—224no—
458C2×C4×D43C2416yes—
459C2×C4×D43C2416yes—
460C2×C4×D43C2412yes—
461C2×C4×D43C2416yes—
462C2×C4×D43C24112yes—
463C2×C4×D43C24112yes—
464C2×Dic86—46no—
465C2×Dic86C2416yes—
466C2×Dic86C2411yescharacteristic
467C2×Dic86C2413yes—
468C2×Dic86C2416yes—
469C2×Dic86C2416yes—
470C4⋊C4×C43C2413yes—
471C4⋊C4×C43C2413yes—
472C4⋊C4×C43C2413yes—
473C4⋊C4×C43C2413yes—
474C4⋊C4×C43C2416yes—
475C4⋊C4×C43C2416yes—
476C22⋊C4×C43C2416yes—
477C22⋊C4×C43C2416yes—
478C22⋊C4×C43C2416yes—
479C22⋊C4×C43C2416yes—
480C42×C43C2411yescharacteristic
481C42×C43C2411yescharacteristic
482C42×C43C2411yescharacteristic
483C42×C43C2411yescharacteristic
484C42×C43C2413yes—
485C42×C43C2413yes—
486C42×C43C2413yes—
487C42×C43C2413yes—
488C42×C43C2413yes—
489C42×C43C2413yes—
490C42×C43C2413yes—
491C42×C43C2413yes—
492C42×C43C2413yes—
493C42×C43C2413yes—
494C42×C43C2413yes—
495C42×C43C2413yes—
496C22⋊Dic43C24112yes—
497C22⋊Dic43C2412yes—
498C22⋊Dic43C2416yes—
499C22⋊Dic43C2416yes—
500C22⋊Dic43C2416yes—
501C22⋊Dic43C24112yes—
502(C2×D43)⋊C4C2416yes—
503(C2×D43)⋊C4C2416yes—
504(C2×D43)⋊C4C2412yes—
505(C2×D43)⋊C4C2412yes—
506(C2×D43)⋊C4C2412yes—
507(C2×D43)⋊C4C2412yes—
508(C2×D43)⋊C4C2416yes—
509(C2×D43)⋊C4C2416yes—
510(C2×D43)⋊C4C2416yes—
511(C2×D43)⋊C4C2416yes—
512(C2×D43)⋊C4C2416yes—
513(C2×D43)⋊C4C2416yes—
514(C2×D43)⋊C4C2416yes—
515(C2×D43)⋊C4C2416yes—
516(C2×D43)⋊C4C2416yes—
517(C2×D43)⋊C4C2416yes—
518(C2×D43)⋊C4C24112yes—
519(C2×D43)⋊C4C24112yes—
520C4⋊Dic43C2416yes—
521C4⋊Dic43C2416yes—
522C4⋊Dic43C2411yescharacteristic
523C4⋊Dic43C2411yescharacteristic
524C4⋊Dic43C2413yes—
525C4⋊Dic43C2413yes—
526C4⋊Dic43C2416yes—
527C4⋊Dic43C2416yes—
528C4⋊Dic43C2416yes—
529C4⋊Dic43C2416yes—
530Dic43⋊C4C2416yes—
531Dic43⋊C4C2416yes—
532Dic43⋊C4C2412yes—
533Dic43⋊C4C2412yes—
534Dic43⋊C4C2412yes—
535Dic43⋊C4C2412yes—
536Dic43⋊C4C2416yes—
537Dic43⋊C4C2416yes—
538Dic43⋊C4C2416yes—
539Dic43⋊C4C2416yes—
540Dic43⋊C4C2416yes—
541Dic43⋊C4C2416yes—
542Dic43⋊C4C2416yes—
543Dic43⋊C4C2416yes—
544Dic43⋊C4C2416yes—
545Dic43⋊C4C2416yes—
546Dic43⋊C4C24112yes—
547Dic43⋊C4C24112yes—
548C4×Dic43C2416yes—
549C4×Dic43C24112yes—
550C4×Dic43C24112yes—
551C4×Dic43C2412yes—
552C4×Dic43C2416yes—
553C4×Dic43C2416yes—
554C23×C43—26no—
555C23×C43—26no—
556C23×C43—43no—
557C23×C43C2513yes—
558C23×C43C2513yes—
559C23×C43C2511yescharacteristic
560C22×D43—212no—
561C22×D43—46no—
562C22×D43—46no—
563C22×D43C2512yes—
564C22×D43C2516yes—
565Q8×C43—26no—
566Q8×C43C2×#4114yes—
567D4×C43—212no—
568D4×C43—26no—
569D4×C43C2×#41112yes—
570C2×C4×C43—26no—
571C2×C4×C43—26no—
572C2×C4×C43—22no—
573C2×C4×C43—22no—
574C2×C4×C43—26no—
575C2×C4×C43—26no—
576C2×C4×C43—26no—
577C2×C4×C43—26no—
578C2×C4×C43—26no—
579C2×C4×C43—22no—
580C2×C4×C43—43no—
581C2×C4×C43—43no—
582C2×C4×C43—43no—
583C2×C4×C43—43no—
584C2×C4×C43—43no—
585C2×C4×C43—43no—
586C2×C4×C43—43no—
587C2×C4×C43C2×#41112yes—
588C2×C4×C43C2513yes—
589C2×C4×C43C2513yes—
590C2×C4×C43C2511yescharacteristic
591C2×C4×C43C2511yescharacteristic
592C2×C4×C43C2511yescharacteristic
593C2×C4×C43C2511yescharacteristic
594C2×C4×C43C2513yes—
595C2×C4×C43C2513yes—
596C2×C4×C43C2513yes—
597C2×C4×C43C2513yes—
598C2×C4×C43C2511yescharacteristic
599C2×C4×C43C2511yescharacteristic
600C22⋊D43—224no—
601C22⋊D43—212no—
602C22⋊D43—24no—
603C22⋊D43—412no—
604C22⋊D43—46no—
605C22⋊D43—46no—
606C2×Dic43—212no—
607C2×Dic43—46no—
608C2×Dic43—46no—
609C2×Dic43C2512yes—
610C2×Dic43C2516yes—
611C2×Dic43C2516yes—
612C2×Dic43C2516yes—
613C2×Dic43C2512yes—
614C2×Dic43C2512yes—
615D172—212no—
616D172—22no—
617D172—26no—
618D172—46no—
619D172—46no—
620C4×D43—24no—
621C4×D43—212no—
622C4×D43—212no—
623C4×D43—212no—
624C4×D43—412no—
625C4×D43—412no—
626Dic86—212no—
627Dic86—22no—
628Dic86—26no—
629Dic86—46no—
630Dic86—46no—
631#62816—431nomaximal, Sylow
632C22×C43—21no—
633C22×C43—23no—
634C22×C43—23no—
635C22×C43—21no—
636C22×C43—23no—
637C22×C43—23no—
638C22×C43—23no—
639C22×C43—412no—
640C22×C43C22×#4116yes—
641C22×C43#58512yes—
642C22×C43C2611yescharacteristic
643C2×D43—22no—
644C2×D43—26no—
645C2×D43—22no—
646C2×D43—22no—
647C2×D43—26no—
648C2×D43—26no—
649C2×D43—812no—
650C4×C43—21no—
651C4×C43—23no—
652C4×C43—23no—
653C4×C43—23no—
654C4×C43—23no—
655C4×C43—23no—
656C4×C43—21no—
657C4×C43—21no—
658C4×C43—21no—
659C4×C43C22×#4116yes—
660C4×C43C22×#4112yes—
661C4×C43#58512yes—
662Dic43—26no—
663Dic43—22no—
664Dic43—22no—
665Dic43—26no—
666Dic43—26no—
667Dic43—22no—
668#3524—432no—
669#3523—431no—
670#3522—431no—
671#3521—436no—
672#3520—433no—
673#3519—433no—
674#3518—431no—
675#3517—431no—
676#3516—432no—
677#3515—433no—
678#3514—433no—
679#3513—436no—
680#3480—433no—
681Q8×#41—431no—
682#3475—433no—
683#3475—436no—
684D4×#41—432no—
685D4×#41—431no—
686#3455—436no—
687#3444—433no—
688C2×#529—433no—
689#3428—432no—
690C2×C4×#41D4311yescharacteristic, complemented
691C2×C43—26no—
692C2×C43—22no—
693C2×C43—43no—
694C2×C43C23×#4111yescharacteristic
695C2×C43C2×#58511yescharacteristic
696C2×C43C2×#58511yescharacteristic
697D43—46no—
698D43—42no—
699C22×#41—432no—
700C22×#41C2×D4311yescharacteristic
701#559—433no—
702#559—436no—
703Q82—431no—
704#557—432no—
705#557—433no—
706#557—431no—
707#556—436no—
708#556—433no—
709#556—433no—
710#556—436no—
711#555—433no—
712#555—436no—
713#554—433no—
714#554—433no—
715#554—436no—
716#554—436no—
717#553—436no—
718#553—4312no—
719#553—436no—
720#553—436no—
721#553—436no—
722#552—436no—
723#552—436no—
724#552—4312no—
725#552—436no—
726#552—436no—
727#551—4312no—
728#551—4312no—
729#551—4312no—
730#550—432no—
731#550—431no—
732#550—433no—
733D4×Q8—432no—
734D4×Q8—431no—
735D4×Q8—433no—
736#548—432no—
737#548—432no—
738#548—432no—
739#548—436no—
740#547—436no—
741#547—433no—
742#547—433no—
743#547—436no—
744#546—436no—
745#546—436no—
746#546—436no—
747#546—436no—
748#546—4312no—
749D42—436no—
750D42—433no—
751#542—436no—
752#542—436no—
753#542—436no—
754#542—436no—
755#541—436no—
756#541—436no—
757#540—436no—
758#540—436no—
759#539—4312no—
760#539—4312no—
761#538—4312no—
762#538—4312no—
763#533—436no—
764#533—433no—
765#533—433no—
766#533—433no—
767#532—436no—
768#532—433no—
769#532—433no—
770#532—433no—
771#529—4312no—
772#529—4312no—
773#529—431no—
774#529—433no—
775#529—436no—
776#529—433no—
777#529—436no—
778#529—433no—
779#529—433no—
780#529—436no—
781#529—433no—
782#529—433no—
783#529—433no—
784#529—436no—
785#529—436no—
786#529—436no—
787#529—436no—
788#529—436no—
789#529—436no—
790C2×#126—436no—
791C2×#125—433no—
792C2×#124—433no—
793#525—436no—
794#525—436no—
795#525—436no—
796#525—436no—
797#525—436no—
798C2×#123—436no—
799C2×C22⋊Q8—433no—
800C2×#121—433no—
801#520—432no—
802#520—432no—
803#520—436no—
804#520—436no—
805#519—432no—
806#519—432no—
807#518—436no—
808#518—436no—
809C4×#41—432no—
810C4×#41—436no—
811C4×#41—436no—
812C4×#41—436no—
813C4×#41—436no—
814C4×#41C2×D4311yescharacteristic
815C4×#41C2×D4311yescharacteristic
816C4×#41C2×D4313yescomplemented
817C4×#41C2×D4313yescomplemented
818C4×#41C2×D4313yescomplemented
819C4×#41C2×D4311yescharacteristic, complemented
820C4×#41C2×D4313yescomplemented
821C4×#41C2×D4311yescharacteristic, complemented
822C2×C4×Q8—433no—
823C2×C4×Q8C2×D4311yescharacteristic, complemented
824C2×C4×Q8C2×D4311yescharacteristic, complemented
825C2×C4×D4—436no—
826C2×C4×D4—433no—
827C2×C4×D4C2×D4313yescomplemented
828C2×C4×D4C2×D4313yescomplemented
829C2×#117—436no—
830C2×#117—436no—
831C2×#117C2×D4313yescomplemented
832C22×C42C2×D4313yescomplemented
833C43#6281611yescharacteristic, complemented, Sylow
834C2×#41—28no—
835C2×#41—432no—
836C2×#41—436no—
837C2×#41—436no—
838C2×#41—436no—
839C2×#41—436no—
840C2×#41—8616no—
841C2×#41C22×D4313yes—
842C2×#41C22×D4313yes—
843C2×#41C22×D4311yescharacteristic
844C2×#41C22×D4311yescharacteristic
845C22×Q8—432no—
846C22×Q8—433no—
847C22×Q8C22×D4311yescharacteristic
848C22×D4—436no—
849C22×D4—436no—
850C22×D4—433no—
851C22×D4C22×D4313yes—
852C23×C4—436no—
853C23×C4C22×D4313yes—
854C23×C4C22×D4313yes—
855C23×C4C22×D4313yes—
856C4⋊Q8—436no—
857C4⋊Q8—436no—
858C4⋊Q8—436no—
859C4⋊Q8—433no—
860C4⋊Q8—433no—
861C4⋊Q8—433no—
862#127—436no—
863#127—433no—
864#126—4312no—
865#126—4312no—
866#126—4312no—
867#126—4312no—
868#126—432no—
869#126—436no—
870#126—436no—
871#126—436no—
872#126—436no—
873#126—436no—
874#126—436no—
875#126—436no—
876#126—4312no—
877#125—4312no—
878#125—4312no—
879#125—436no—
880#125—436no—
881#125—431no—
882#125—433no—
883#125—436no—
884#125—436no—
885#125—433no—
886#125—433no—
887#125—436no—
888#125—436no—
889#124—436no—
890#124—436no—
891#124—4312no—
892#124—4312no—
893#124—431no—
894#124—433no—
895#124—436no—
896#124—433no—
897#124—433no—
898#124—436no—
899#124—436no—
900#124—436no—
901#123—4312no—
902#123—432no—
903#123—436no—
904#123—436no—
905#123—436no—
906#123—436no—
907#123—436no—
908#123—436no—
909#123—436no—
910#123—4312no—
911#123—4312no—
912#123—4312no—
913#123—4312no—
914#123—4312no—
915#123—4312no—
916#123—4312no—
917C22⋊Q8—436no—
918C22⋊Q8—436no—
919C22⋊Q8—431no—
920C22⋊Q8—433no—
921C22⋊Q8—436no—
922C22⋊Q8—433no—
923C22⋊Q8—433no—
924C22⋊Q8—436no—
925C22⋊Q8—436no—
926C22⋊Q8—436no—
927C22⋊Q8—436no—
928C22⋊Q8—436no—
929C22⋊Q8—436no—
930C22⋊Q8—436no—
931C22⋊Q8—436no—
932C22⋊Q8—4312no—
933C22⋊Q8—4312no—
934C22⋊Q8—4312no—
935C22⋊Q8—4312no—
936#121—436no—
937#121—436no—
938#121—4312no—
939#121—4312no—
940#121—431no—
941#121—433no—
942#121—436no—
943#121—436no—
944#121—433no—
945#121—433no—
946#121—436no—
947#121—436no—
948#121—436no—
949#121—436no—
950#121—436no—
951#121—436no—
952#121—436no—
953#121—4312no—
954#121—4312no—
955#120—4312no—
956#120—4312no—
957#120—4312no—
958C4×Q8—432no—
959C4×Q8—432no—
960C4×Q8—436no—
961C4×Q8—436no—
962C4×Q8—431no—
963C4×Q8—433no—
964C4×Q8—436no—
965C4×Q8—433no—
966C4×Q8—433no—
967C4×Q8—436no—
968C4×Q8—436no—
969C4×Q8—436no—
970C4×Q8—436no—
971C4×Q8—436no—
972C4×Q8—436no—
973C4×Q8C22×D4311yescharacteristic
974C4×Q8C22×D4311yescharacteristic
975C4×Q8C22×D4311yescharacteristic
976C4×Q8C22×D4311yescharacteristic
977C4×Q8C22×D4313yes—
978C4×Q8C22×D4313yes—
979C4×Q8C22×D4313yes—
980C4×Q8C22×D4313yes—
981C4×D4—436no—
982C4×D4—436no—
983C4×D4—432no—
984C4×D4—436no—
985C4×D4—436no—
986C4×D4—436no—
987C4×D4—436no—
988C4×D4—436no—
989C4×D4—436no—
990C4×D4—436no—
991C4×D4—4312no—
992C4×D4—4312no—
993C4×D4—4312no—
994C4×D4—4312no—
995C4×D4—4312no—
996C4×D4—436no—
997C4×D4—436no—
998C4×D4—4312no—
999C4×D4—4312no—
1000C4×D4—431no—
1001C4×D4—433no—
1002C4×D4—436no—
1003C4×D4—433no—
1004C4×D4—436no—
1005C4×D4—433no—
1006C4×D4—436no—
1007C4×D4—436no—
1008C4×D4—436no—
1009C4×D4—436no—
1010C4×D4—436no—
1011C4×D4C22×D4313yes—
1012C4×D4C22×D4313yes—
1013C4×D4C22×D4313yes—
1014C4×D4C22×D4313yes—
1015C4×D4C22×D4316yes—
1016C4×D4C22×D4316yes—
1017C4×D4C22×D4313yes—
1018C4×D4C22×D4313yes—
1019C4×D4C22×D4316yes—
1020C4×D4C22×D4313yes—
1021C4×D4C22×D4316yes—
1022C4×D4C22×D4313yes—
1023#117—436no—
1024#117—436no—
1025#117—436no—
1026#117—436no—
1027#117—436no—
1028#117—4312no—
1029#117—436no—
1030#117—432no—
1031#117—436no—
1032#117—436no—
1033#117—436no—
1034#117—436no—
1035#117—436no—
1036#117—436no—
1037#117—4312no—
1038#117—4312no—
1039#117C22×D4313yes—
1040#117C22×D4313yes—
1041#117C22×D4316yes—
1042#117C22×D4316yes—
1043#117C22×D4313yes—
1044#117C22×D4313yes—
1045C2×C4⋊C4—436no—
1046C2×C4⋊C4—436no—
1047C2×C4⋊C4—433no—
1048C2×C4⋊C4—436no—
1049C2×C4⋊C4—433no—
1050C2×C4⋊C4—436no—
1051C2×C4⋊C4—436no—
1052C2×C4⋊C4—436no—
1053C2×C4⋊C4C22×D4313yes—
1054C2×C4⋊C4C22×D4313yes—
1055C2×C22⋊C4—436no—
1056C2×C22⋊C4—436no—
1057C2×C22⋊C4—436no—
1058C2×C22⋊C4—436no—
1059C2×C22⋊C4—436no—
1060C2×C22⋊C4—4312no—
1061C2×C22⋊C4C22×D4316yes—
1062C2×C42—436no—
1063C2×C42—4312no—
1064C2×C42C22×D4313yes—
1065C2×C42C22×D4313yes—
1066C2×C42C22×D4313yes—
1067C2×C42C22×D4313yes—
1068C2×C42C22×D4313yes—
1069C2×C42C22×D4313yes—
1070C2×C42C22×D4313yes—
1071C2×C42C22×D4313yes—
1072C2×C42C22×D4313yes—
1073C2×C42C22×D4313yes—
1074C2×C42C22×D4313yes—
1075C2×C42C22×D4311yescharacteristic
1076C24—436no—
1077C24C23×D4313yes—
1078#41—24no—
1079#41—212no—
1080#41—212no—
1081#41—868no—
1082#41—8624no—
1083#41—8624no—
1084#41—17212no—
1085#41—17212no—
1086#41#1062189818yescomplemented
1087C2×Q8—24no—
1088C2×Q8—431no—
1089C2×Q8—436no—
1090C2×Q8—433no—
1091C2×Q8—436no—
1092C2×Q8—436no—
1093C2×Q8—868no—
1094C2×Q8—1726no—
1095C2×Q8C23×D4313yes—
1096C2×Q8C23×D4311yescharacteristic
1097C2×D4—212no—
1098C2×D4—4312no—
1099C2×D4—436no—
1100C2×D4—432no—
1101C2×D4—436no—
1102C2×D4—4312no—
1103C2×D4—436no—
1104C2×D4—431no—
1105C2×D4—436no—
1106C2×D4—433no—
1107C2×D4—436no—
1108C2×D4—436no—
1109C2×D4—8624no—
1110C2×D4—1726no—
1111C2×D4—17212no—
1112C2×D4C23×D4316yes—
1113C2×D4C23×D4313yes—
1114C2×D4C23×D4313yes—
1115C22×C4—212no—
1116C22×C4—46no—
1117C22×C4—46no—
1118C22×C4—436no—
1119C22×C4—436no—
1120C22×C4—436no—
1121C22×C4—436no—
1122C22×C4—436no—
1123C22×C4—436no—
1124C22×C4—432no—
1125C22×C4—4312no—
1126C22×C4—4312no—
1127C22×C4—8624no—
1128C22×C4C23×D4311yescharacteristic
1129C22×C4C23×D4311yescharacteristic
1130C22×C4C23×D4313yes—
1131C22×C4C23×D4313yes—
1132C22×C4C23×D4313yes—
1133C22×C4C23×D4313yes—
1134C22×C4C23×D4313yes—
1135C22×C4C23×D4313yes—
1136C22×C4C23×D4311yescharacteristic
1137C22×C4C23×D4313yes—
1138C22×C4C23×D4313yes—
1139C22×C4C23×D4313yes—
1140C22×C4C23×D4313yes—
1141C22×C4C23×D4313yes—
1142C22×C4C23×D4313yes—
1143C22×C4C23×D4313yes—
1144C22×C4C23×D4313yes—
1145C22×C4C23×D4313yes—
1146C4⋊C4—432no—
1147C4⋊C4—436no—
1148C4⋊C4—436no—
1149C4⋊C4—432no—
1150C4⋊C4—431no—
1151C4⋊C4—432no—
1152C4⋊C4—431no—
1153C4⋊C4—432no—
1154C4⋊C4—436no—
1155C4⋊C4—436no—
1156C4⋊C4—433no—
1157C4⋊C4—433no—
1158C4⋊C4—436no—
1159C4⋊C4—436no—
1160C4⋊C4—436no—
1161C4⋊C4—436no—
1162C4⋊C4—436no—
1163C4⋊C4—436no—
1164C4⋊C4—436no—
1165C4⋊C4—436no—
1166C4⋊C4—436no—
1167C4⋊C4—436no—
1168C4⋊C4—436no—
1169C4⋊C4—436no—
1170C4⋊C4—4312no—
1171C4⋊C4—4312no—
1172C4⋊C4—436no—
1173C4⋊C4—436no—
1174C4⋊C4C23×D4313yes—
1175C4⋊C4C23×D4313yes—
1176C4⋊C4C23×D4313yes—
1177C4⋊C4C23×D4313yes—
1178C4⋊C4C23×D4316yes—
1179C4⋊C4C23×D4316yes—
1180C22⋊C4—432no—
1181C22⋊C4—4312no—
1182C22⋊C4—436no—
1183C22⋊C4—436no—
1184C22⋊C4—436no—
1185C22⋊C4—4312no—
1186C22⋊C4—432no—
1187C22⋊C4—436no—
1188C22⋊C4—436no—
1189C22⋊C4—432no—
1190C22⋊C4—432no—
1191C22⋊C4—432no—
1192C22⋊C4—436no—
1193C22⋊C4—436no—
1194C22⋊C4—436no—
1195C22⋊C4—436no—
1196C22⋊C4—436no—
1197C22⋊C4—436no—
1198C22⋊C4—436no—
1199C22⋊C4—436no—
1200C22⋊C4—436no—
1201C22⋊C4—436no—
1202C22⋊C4—4312no—
1203C22⋊C4—4312no—
1204C22⋊C4C23×D4316yes—
1205C22⋊C4C23×D4316yes—
1206C22⋊C4C23×D4316yes—
1207C22⋊C4C23×D4316yes—
1208C42—4312no—
1209C42—4312no—
1210C42—436no—
1211C42—436no—
1212C42—432no—
1213C42—436no—
1214C42C23×D4311yescharacteristic
1215C42C23×D4311yescharacteristic
1216C42C23×D4313yes—
1217C42C23×D4313yes—
1218C42C23×D4313yes—
1219C42C23×D4313yes—
1220C42C23×D4313yes—
1221C42C23×D4313yes—
1222C42C23×D4313yes—
1223C42C23×D4313yes—
1224C42C23×D4313yes—
1225C42C23×D4313yes—
1226C42C23×D4313yes—
1227C42C23×D4311yescharacteristic
1228C42C23×D4311yescharacteristic
1229C42C23×D4313yes—
1230C23—26no—
1231C23—26no—
1232C23—43no—
1233C23—432no—
1234C23—436no—
1235C23—8612no—
1236C23—1726no—
1237C23—1726no—
1238C23C24×D4313yes—
1239C23C24×D4313yes—
1240C23C24×D4311yescharacteristic
1241Q8—26no—
1242Q8—8612no—
1243Q8—862no—
1244Q8—866no—
1245Q8—1726no—
1246Q8—1726no—
1247Q8C2×#1062189814yes—
1248D4—212no—
1249D4—26no—
1250D4—8624no—
1251D4—864no—
1252D4—8612no—
1253D4—8612no—
1254D4—862no—
1255D4—866no—
1256D4—1726no—
1257D4—1726no—
1258D4—1726no—
1259D4—1726no—
1260D4—17212no—
1261D4C2×#10621898112yes—
1262C2×C4—26no—
1263C2×C4—22no—
1264C2×C4—26no—
1265C2×C4—22no—
1266C2×C4—26no—
1267C2×C4—26no—
1268C2×C4—26no—
1269C2×C4—22no—
1270C2×C4—26no—
1271C2×C4—26no—
1272C2×C4—43no—
1273C2×C4—43no—
1274C2×C4—43no—
1275C2×C4—43no—
1276C2×C4—43no—
1277C2×C4—43no—
1278C2×C4—43no—
1279C2×C4—432no—
1280C2×C4—436no—
1281C2×C4—436no—
1282C2×C4—436no—
1283C2×C4—432no—
1284C2×C4—432no—
1285C2×C4—8612no—
1286C2×C4—864no—
1287C2×C4—8612no—
1288C2×C4—8612no—
1289C2×C4—8612no—
1290C2×C4—17212no—
1291C2×C4—17212no—
1292C2×C4—1726no—
1293C2×C4—1726no—
1294C2×C4C2×#10621898112yes—
1295C2×C4C24×D4313yes—
1296C2×C4C24×D4313yes—
1297C2×C4C24×D4311yescharacteristic
1298C2×C4C24×D4311yescharacteristic
1299C2×C4C24×D4311yescharacteristic
1300C2×C4C24×D4311yescharacteristic
1301C2×C4C24×D4313yes—
1302C2×C4C24×D4313yes—
1303C2×C4C24×D4313yes—
1304C2×C4C24×D4313yes—
1305C2×C4C24×D4311yescharacteristic
1306C2×C4C24×D4311yescharacteristic
1307C22—21no—
1308C22—21no—
1309C22—23no—
1310C22—23no—
1311C22—23no—
1312C22—23no—
1313C22—23no—
1314C22—412no—
1315C22—862no—
1316C22—866no—
1317C22—866no—
1318C22—866no—
1319C22—862no—
1320C22—862no—
1321C22—34412no—
1322C22C22×#1062189816yes—
1323C22#1458373512yes—
1324C22C25×D4311yescharacteristic
1325C4—21no—
1326C4—23no—
1327C4—21no—
1328C4—21no—
1329C4—21no—
1330C4—23no—
1331C4—23no—
1332C4—23no—
1333C4—23no—
1334C4—862no—
1335C4—866no—
1336C4—862no—
1337C4—866no—
1338C4—866no—
1339C4—862no—
1340C4C22×#1062189812yes—
1341C4C22×#1062189816yes—
1342C4#1458373512yes—
1343C2—22no—
1344C2—26no—
1345C2—43no—
1346C2—1722no—
1347C2—1726no—
1348C2C23×#1062189811yescharacteristic
1349C2C2×#1458373511yescharacteristic
1350C2C2×#1458373511yescharacteristic
subgroupG/H
centerC2×C4C24×D43
commutator, socle, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC2×C4×#41×C43C2
hypercenterC2×C4×#41D43
hypocenterC43#62816
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C2×C4×#41

Complements

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

NH ≅ G/Ntype
1. #19148704C2semidirect
2. #19148691C2semidirect
3. #19148680C2semidirect
4. #19148663C2semidirect
5. #19148644C2semidirect
6. #19148627C2semidirect
7. #19148612C2semidirect
8. #19148601C2semidirect
9. #19148588C2semidirect
10. #19148573C2semidirect
11. #19148556C2semidirect
12. #19148535C2semidirect
13. #19148188C2semidirect
14. #41×Dic86C2semidirect
15. #19148159C2semidirect
16. #19148149C2semidirect
17. #41×D172C2semidirect
18. #41×C22⋊D43C2semidirect
19. #19147980C2semidirect
20. #19147891C2semidirect
21. C2×#14583433C2semidirect
22. #19147794C2semidirect
23. C2×C4×#41×C43C2semidirect
25. #14583634C22semidirect
26. #14583632C22semidirect
27. Q8×Dic86C22semidirect
28. #14583628C22semidirect
29. #14583627C22semidirect
30. #14583625C22semidirect
31. #14583622C22semidirect
32. #14583621C22semidirect
33. #14583619C22semidirect
34. #14583617C22semidirect
35. #14583614C22semidirect
36. #14583612C22semidirect
37. #14583609C22semidirect
38. #14583608C22semidirect
39. #14583606C22semidirect
40. #14583604C22semidirect
41. #14583599C22semidirect
42. #14583598C22semidirect
43. #14583597C22semidirect
44. #14583595C22semidirect
45. #14583593C22semidirect
46. #14583590C22semidirect
47. #14583589C22semidirect
48. #14583588C22semidirect
49. #14583584C22semidirect
50. #14583582C22semidirect
51. #14583578C22semidirect
52. #14583575C22semidirect
53. #14583573C22semidirect
54. #14583571C22semidirect
55. #14583570C22semidirect
56. #14583568C22semidirect
57. Q8×D172C22semidirect
58. D4×Dic86C22semidirect
59. Q8×C22⋊D43C22semidirect
60. #14583561C22semidirect
61. #14583560C22semidirect
62. #14583558C22semidirect
63. #14583556C22semidirect
64. #14583554C22semidirect
65. #14583553C22semidirect
66. #14583550C22semidirect
67. #14583548C22semidirect
68. #14583545C22semidirect
69. #14583544C22semidirect
70. #14583543C22semidirect
71. #14583539C22semidirect
72. #14583537C22semidirect
73. D4×D172C22semidirect
74. D4×C22⋊D43C22semidirect
75. #14583521C22semidirect
76. #14583521C22semidirect
77. #14583514C22semidirect
78. #14583514C22semidirect
79. #14583507C22semidirect
80. #14583507C22semidirect
81. #14583500C22semidirect
82. #14583500C22semidirect
83. #14583491C22semidirect
84. #14583491C22semidirect
85. #14583482C22semidirect
86. #14583482C22semidirect
87. #14583456C22semidirect
88. #14583456C22semidirect
89. #14583456C22semidirect
90. #14583452C22semidirect
91. #14583449C22semidirect
92. #14583449C22semidirect
93. #14583449C22semidirect
94. #14583445C22semidirect
97. #14583433C22semidirect
98. #14583433C22semidirect
99. #14583433C22semidirect
100. #14583433C22semidirect
101. #14583433C22semidirect
102. #14583433C22semidirect
103. #14583433C22semidirect
104. #14583433C22semidirect
105. #14583433C22semidirect
106. #14583433C22semidirect
107. #14583433C22semidirect
108. #14583433C22semidirect
109. #14583433C22semidirect
110. #14583433C22semidirect
111. #14583433C22semidirect
112. #14583427C22semidirect
113. #14583427C22semidirect
114. C2×#13063319C22semidirect
115. C2×#13063317C22semidirect
116. C2×#13063313C22semidirect
117. #14583411C22semidirect
118. #14583410C22semidirect
119. #14583410C22semidirect
120. #14583410C22semidirect
121. #14583406C22semidirect
122. C2×#13063308C22semidirect
123. C2×#13063304C22semidirect
125. #14583381C22semidirect
126. #14583381C22semidirect
127. #14583378C22semidirect
128. #14583378C22semidirect
129. #14583375C22semidirect
130. #14583375C22semidirect
131. #14583371C22semidirect
132. #14583371C22semidirect
134. C4×#10621898C22semidirect
135. C4×#10621898C22semidirect
136. C4×#10621898C22semidirect
137. #14583367C22semidirect
138. C2×C4×Dic86C22semidirect
139. C2×C4×D172C22semidirect
140. C2×C4×C22⋊D43C22semidirect
141. C2×#13063282C22semidirect
142. #117×D43C22semidirect
146. C4×#41×C43C22semidirect
147. C4×#41×C43C22semidirect
148. C4×#41×C43C22semidirect
149. C4×#41×C43C22semidirect
150. C4×#41×C43C22semidirect
151. C4×#41×C43C22semidirect
152. C2×C4×Q8×C43C22semidirect
153. C2×C4×Q8×C43C22semidirect
154. C2×C4×D4×C43C22semidirect
155. C2×C4×D4×C43C22semidirect
156. C2×#117×C43C22semidirect
157. C22×C42×C43C22semidirect
405. #41×C43#41semidirect
690. C2×C4×#41D43semidirect
816. C4×#41C2×D43semidirect
817. C4×#41C2×D43semidirect
818. C4×#41C2×D43semidirect
819. C4×#41C2×D43semidirect
820. C4×#41C2×D43semidirect
821. C4×#41C2×D43semidirect
823. C2×C4×Q8C2×D43semidirect
824. C2×C4×Q8C2×D43semidirect
827. C2×C4×D4C2×D43semidirect
828. C2×C4×D4C2×D43semidirect
831. C2×#117C2×D43semidirect
832. C22×C42C2×D43semidirect
833. C43#62816semidirect
1086. #41#10621898semidirect

Maximal subgroups

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

subgroupindex
#191487042
#191486912
#191486802
#191486632
#191486442
#191486272
#191486122
#191486012
#191485882
#191485732
#191485562
#191485352
#191481882
#41×Dic862
#191481592
#191481492
#41×D1722
#41×C22⋊D432
#191479802
#191478912
C2×#145834332
#191477942
C2×C4×#41×C432
#6281643