Finite Group Databasebeta

← #41×#11719945 #28291202

Subgroups — #41×#11719945 #28291202

Order 13568.

7812 conjugacy classes of subgroups.

The subgroup lattice has 1380 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288341C211yesmaximal, characteristic, complemented
2#20288337C211yesmaximal, characteristic, complemented
3#20288332C212yesmaximal, complemented
4#20288330C213yesmaximal, complemented
5#20288325C213yesmaximal, complemented
6#20288319C216yesmaximal, complemented
7#20288313C212yesmaximal, complemented
8#20288310C211yesmaximal, characteristic, complemented
9#20288308C213yesmaximal, complemented
10Q8×#11719945C211yesmaximal, characteristic, complemented
11#41×Dic106C211yesmaximal, characteristic, complemented
12#20288279C213yesmaximal, complemented
13#20288277C216yesmaximal, complemented
14#20288273C213yesmaximal, complemented
15#20288269C216yesmaximal, complemented
16#41×D212C211yesmaximal, characteristic, complemented
17D4×#11719945C213yesmaximal, complemented
18#41×C22⋊D53C212yesmaximal, complemented
19#20288011C213yesmaximal, complemented
20#20288008C216yesmaximal, complemented
21C2×C4×#11719945C213yesmaximal, complemented
22C4×#41×D53C212yesmaximal, complemented
23C2×C4×#41×C53C211yesmaximal, characteristic, complemented
24C22×#11719945C2213yes—
25C2×#41×D53C2212yes—
26#16811358C2213yescomplemented
27#16811356C2216yescomplemented
28Q8×Dic106C2211yescharacteristic, complemented
29#16811352C2211yescharacteristic, complemented
30#16811351C2213yescomplemented
31#16811349C2212yescomplemented
32#16811346C2213yescomplemented
33#16811345C2216yescomplemented
34#16811343C2213yescomplemented
35#16811341C2216yescomplemented
36#16811338C2213yescomplemented
37#16811336C2216yescomplemented
38#16811333C2213yescomplemented
39#16811332C2216yescomplemented
40#16811330C2213yescomplemented
41#16811328C2216yescomplemented
42#16811323C2216yescomplemented
43#16811322C22112yescomplemented
44#16811321C2216yescomplemented
45#16811319C2216yescomplemented
46#16811317C2216yescomplemented
47#16811314C2216yescomplemented
48#16811313C2216yescomplemented
49#16811312C2216yescomplemented
50#16811308C2216yescomplemented
51#16811306C22112yescomplemented
52#16811302C22112yescomplemented
53#16811299C22112yescomplemented
54#16811297C22112yescomplemented
55#16811295C2211yescharacteristic, complemented
56#16811294C2213yescomplemented
57#16811292C2212yescomplemented
58Q8×D212C2211yescharacteristic, complemented
59D4×Dic106C2213yescomplemented
60Q8×C22⋊D53C2212yescomplemented
61#16811285C2212yescomplemented
62#16811284C2212yescomplemented
63#16811282C2216yescomplemented
64#16811280C2212yescomplemented
65#16811278C2213yescomplemented
66#16811277C2213yescomplemented
67#16811274C2216yescomplemented
68#16811272C2216yescomplemented
69#16811269C2216yescomplemented
70#16811268C2216yescomplemented
71#16811267C2216yescomplemented
72#16811263C22112yescomplemented
73#16811261C2216yescomplemented
74D4×D212C2213yescomplemented
75D4×C22⋊D53C2216yescomplemented
76#16811180C2213yescomplemented
77#16811180C2213yescomplemented
78#16811180C2213yescomplemented
79#16811177C2216yescomplemented
80#16811177C2216yescomplemented
81#16811176C2216yescomplemented
82#16811173C2213yescomplemented
83#16811173C2213yescomplemented
84#16811173C2213yescomplemented
85#16811170C2216yescomplemented
86#16811170C2216yescomplemented
87#16811169C2216yescomplemented
88#16811160C2216yescomplemented
89#16811160C2216yescomplemented
90#16811157C2216yescomplemented
91#16811157C2216yescomplemented
92#16811157C2216yescomplemented
93#16811157C2216yescomplemented
94#16811157C2216yescomplemented
95#16811157C2216yescomplemented
96#16811155C2216yescomplemented
97#16811155C2216yescomplemented
98#16811153C22112yescomplemented
99#16811153C22112yescomplemented
100#16811151C22112yescomplemented
101#16811151C22112yescomplemented
102#16811135C2216yescomplemented
103#16811134C2216yescomplemented
104#16811134C2216yescomplemented
105#16811134C2216yescomplemented
106#16811132C22112yescomplemented
107#16811132C22112yescomplemented
108#16811130C2216yescomplemented
109#41×Dic53C2212yes—
110C4×#11719949C2212yescomplemented
111C4×#11719949C2212yescomplemented
112C4×#11719945C2213yes—
113C4×#11719945C2211yescharacteristic
114C4×#11719945C2216yescomplemented
115C4×#11719945C2216yescomplemented
116C4×#11719945C2216yescomplemented
117C4×#11719945C2213yescomplemented
118C4×#11719945C2216yescomplemented
119C4×#11719945C2213yescomplemented
120C4×#11719945C2216yescomplemented
121C4×#11719945C2213yescomplemented
122C4×#11719945C2213yescomplemented
123C4×#11719945C2216yescomplemented
124C4×#11719945C2213yescomplemented
125C4×#11719945C2213yescomplemented
126#16811091C2216yescomplemented
127C4×#11719947C2216yescomplemented
128C4×#11719947C2216yescomplemented
129C2×C4×Dic106C2213yescomplemented
130C2×C4×Dic106C2213yescomplemented
131C4×Q8×D53C2212yescomplemented
132C4×Q8×D53C2212yescomplemented
133C2×C4×D212C2213yescomplemented
134C2×C4×D212C2213yescomplemented
135C2×C4×C22⋊D53C2216yescomplemented
136C2×C4×C22⋊D53C2216yescomplemented
137C4×D4×D53C2216yescomplemented
138C4×D4×D53C2216yescomplemented
139C2×#13133176C2213yescomplemented
140C2×#13133174C2216yescomplemented
141#117×D53C2216yescomplemented
142C2×C42×D53C2216yescomplemented
143C22×#41×C53C2211yescharacteristic
144C4×#41×C53C2211yescharacteristic
145C4×#41×C53C2211yescharacteristic
146C4×#41×C53C2213yescomplemented
147C4×#41×C53C2213yescomplemented
148C4×#41×C53C2213yescomplemented
149C4×#41×C53C2211yescharacteristic, complemented
150C4×#41×C53C2213yescomplemented
151C4×#41×C53C2211yescharacteristic, complemented
152C2×C4×Q8×C53C2211yescharacteristic, complemented
153C2×C4×Q8×C53C2211yescharacteristic, complemented
154C2×C4×D4×C53C2213yescomplemented
155C2×C4×D4×C53C2213yescomplemented
156C2×#117×C53C2213yescomplemented
157C22×C42×C53C2213yescomplemented
158C2×#11719949C2312yes—
159C2×#11719945—224no—
160C2×#11719945C2313yes—
161C2×#11719945C2316yes—
162C2×#11719945C2313yes—
163C2×#11719945C2316yes—
164C2×#11719945C2316yes—
165C2×#11719945C2313yes—
166C2×#11719945C2316yes—
167C2×#11719945C2311yescharacteristic
168C2×#11719947C2316yes—
169#41×D53—216no—
170C22×Dic106C2313yes—
171C2×Q8×D53C2312yes—
172C22×D212C2313yes—
173C22×C22⋊D53C2316yes—
174C2×D4×D53C2316yes—
175C22×C4×D53C2316yes—
176C22×C4×D53C2316yes—
177C22×C4×D53C2316yes—
178#13133217C2313yes—
179#13133217C2313yes—
180#13133217C2313yes—
181#13133216C2316yes—
182#13133216C2316yes—
183#13133215C2316yes—
184#13133214C2313yes—
185#13133213C2316yes—
186#13133212C23112yes—
187#13133212C23112yes—
188#13133211C23112yes—
189#13133211C23112yes—
190#13133210C23112yes—
191#13133210C23112yes—
192#13133209C2316yes—
193#13133209C2316yes—
194#13133209C2316yes—
195#13133208C2316yes—
196#13133208C2316yes—
197#13133207C23112yes—
198#13133207C23112yes—
199#13133206C2316yes—
200#13133205C2316yes—
201#13133205C2316yes—
202#13133205C2316yes—
203#13133204C2316yes—
204#13133203C23112yes—
205#13133203C23112yes—
206#13133202C23112yes—
207#13133202C23112yes—
208#13133201C23112yes—
209#13133200C23112yes—
210#13133200C23112yes—
211#13133200C23112yes—
212#13133199C23112yes—
213#13133199C23112yes—
214#13133198C23112yes—
215#13133197C2316yes—
216#13133197C2316yes—
217#13133196C2316yes—
218#13133196C2316yes—
219#13133196C2316yes—
220#13133196C2316yes—
221#13133196C2316yes—
222#13133196C2316yes—
223#13133195C23112yes—
224#13133195C23112yes—
225#13133194C23112yes—
226#13133194C23112yes—
227#13133193C2316yes—
228#13133193C2316yes—
229#13133192C2316yes—
230#13133192C2316yes—
231#13133191C2316yes—
232#13133191C2316yes—
233#13133191C2316yes—
234#13133191C2316yes—
235#13133191C2316yes—
236#13133191C2316yes—
237#13133190C23112yes—
238#13133190C23112yes—
239#13133189C23112yes—
240#13133189C23112yes—
241#13133188C2316yes—
242#13133188C2316yes—
243#13133187C23112yes—
244#13133186C23112yes—
245#13133185C23112yes—
246Q8×Dic53C2312yes—
247Q8×Dic53C2312yes—
248C4×Dic106C2313yes—
249C4×Dic106C2313yes—
250C4×Dic106C2316yes—
251C4×Dic106C2313yes—
252C4×Dic106C2313yes—
253C4×Dic106C2316yes—
254C4×Dic106C2316yes—
255C4×Dic106C2316yes—
256C4×Dic106C2311yescharacteristic
257C4×Dic106C2311yescharacteristic
258C4×Dic106C2316yes—
259C4×Dic106C2316yes—
260C4×Dic106C2313yes—
261C4×Dic106C2313yes—
262C4×Dic106C2316yes—
263C4×Dic106C2316yes—
264#13133182C2316yes—
265#13133182C2316yes—
266C4×D212C2316yes—
267C4×D212C2313yes—
268C4×D212C2313yes—
269C4×D212C2313yes—
270C4×D212C2316yes—
271C4×D212C2313yes—
272C4×D212C2316yes—
273C4×D212C2316yes—
274C4×D212C2311yescharacteristic
275C4×D212C2311yescharacteristic
276C4×D212C2316yes—
277C4×D212C2316yes—
278C4×D212C2313yes—
279C4×D212C2313yes—
280C4×D212C2316yes—
281C4×D212C2316yes—
282D4×Dic53C2316yes—
283D4×Dic53C2316yes—
284#13133179C2316yes—
285#13133179C2316yes—
286C4×C22⋊D53C2316yes—
287C4×C22⋊D53C2316yes—
288C4×C22⋊D53C2316yes—
289C4×C22⋊D53C2316yes—
290C4×C22⋊D53C2316yes—
291C4×C22⋊D53C2316yes—
292C4×C22⋊D53C2316yes—
293C4×C22⋊D53C2316yes—
294C4×C22⋊D53C23112yes—
295C4×C22⋊D53C23112yes—
296C4×C22⋊D53C2312yes—
297C4×C22⋊D53C2312yes—
298C4×C22⋊D53C2316yes—
299C4×C22⋊D53C2316yes—
300C4×C22⋊D53C2316yes—
301C4×C22⋊D53C2316yes—
302C4×C22⋊D53C2316yes—
303C4×C22⋊D53C2316yes—
304C4×C22⋊D53C23112yes—
305C4×C22⋊D53C23112yes—
306#13133177C23112yes—
307#13133177C23112yes—
308#13133176C2316yes—
309#13133176C2313yes—
310#13133176C2313yes—
311#13133176C2316yes—
312#13133176C2311yescharacteristic
313#13133176C2313yes—
314#13133176C2316yes—
315#13133176C2316yes—
316#13133175C2316yes—
317#13133175C2316yes—
318#13133174C2316yes—
319#13133174C2316yes—
320#13133174C2316yes—
321#13133174C2316yes—
322#13133174C23112yes—
323#13133174C2312yes—
324#13133174C2316yes—
325#13133174C2316yes—
326#13133174C2316yes—
327#13133174C23112yes—
328#13133173C23112yes—
329C2×C4⋊Dic53C2313yes—
330C2×C4⋊Dic53C2313yes—
331C2×#11719919C2316yes—
332C2×#11719919C2316yes—
333C4⋊C4×D53C2316yes—
334C4⋊C4×D53C2316yes—
335C2×C22⋊Dic53C2316yes—
336C2×#11719921C2316yes—
337C2×#11719921C2316yes—
338C22⋊C4×D53C23112yes—
339C2×C4×Dic53C2316yes—
340C2×C4×Dic53C2316yes—
341C2×C4×Dic53C2316yes—
342C42×D53C2312yes—
343C42×D53C2316yes—
344C42×D53C2316yes—
345C42×D53C2316yes—
346C42×D53C2316yes—
347C42×D53C2316yes—
348C42×D53C2316yes—
349C42×D53C2316yes—
350C2×#41×C53—28no—
351C2×#41×C53C2313yes—
352C2×#41×C53C2311yescharacteristic
353C2×#41×C53C2313yes—
354C2×#41×C53C2311yescharacteristic
355C22×Q8×C53C2311yescharacteristic
356C22×D4×C53C2313yes—
357C23×C4×C53C2313yes—
358C23×C4×C53C2313yes—
359C23×C4×C53C2313yes—
360C4×Q8×C53C2311yescharacteristic
361C4×Q8×C53C2311yescharacteristic
362C4×Q8×C53C2311yescharacteristic
363C4×Q8×C53C2311yescharacteristic
364C4×Q8×C53C2313yes—
365C4×Q8×C53C2313yes—
366C4×Q8×C53C2313yes—
367C4×Q8×C53C2313yes—
368C4×D4×C53C2313yes—
369C4×D4×C53C2316yes—
370C4×D4×C53C2313yes—
371C4×D4×C53C2313yes—
372C4×D4×C53C2313yes—
373C4×D4×C53C2313yes—
374C4×D4×C53C2316yes—
375C4×D4×C53C2313yes—
376C4×D4×C53C2316yes—
377C4×D4×C53C2316yes—
378C4×D4×C53C2313yes—
379C4×D4×C53C2313yes—
380#117×C53C2313yes—
381#117×C53C2313yes—
382#117×C53C2316yes—
383#117×C53C2313yes—
384#117×C53C2313yes—
385#117×C53C2316yes—
386C2×C4⋊C4×C53C2313yes—
387C2×C4⋊C4×C53C2313yes—
388C2×C22⋊C4×C53C2316yes—
389C2×C42×C53C2311yescharacteristic
390C2×C42×C53C2313yes—
391C2×C42×C53C2313yes—
392C2×C42×C53C2313yes—
393C2×C42×C53C2313yes—
394C2×C42×C53C2313yes—
395C2×C42×C53C2313yes—
396C2×C42×C53C2313yes—
397C2×C42×C53C2313yes—
398C2×C42×C53C2313yes—
399C2×C42×C53C2313yes—
400C2×C42×C53C2313yes—
401C24×C53C2413yes—
402C23×D53C2416yes—
403#41×C53—24no—
404#41×C53—212no—
405#41×C53—212no—
406#41×C53#4118yescomplemented
407C2×Q8×C53—24no—
408C2×Q8×C53C2413yes—
409C2×Q8×C53C2411yescharacteristic
410C2×D4×C53—212no—
411C2×D4×C53C2416yes—
412C2×D4×C53C2413yes—
413C2×D4×C53C2413yes—
414C22×C4×C53—212no—
415C22×C4×C53—212no—
416C22×C4×C53—46no—
417C22×C4×C53C2411yescharacteristic
418C22×C4×C53C2411yescharacteristic
419C22×C4×C53C2413yes—
420C22×C4×C53C2413yes—
421C22×C4×C53C2413yes—
422C22×C4×C53C2413yes—
423C22×C4×C53C2413yes—
424C22×C4×C53C2413yes—
425C22×C4×C53C2413yes—
426C22×C4×C53C2413yes—
427C22×C4×C53C2413yes—
428C22×C4×C53C2413yes—
429C22×C4×C53C2413yes—
430C22×C4×C53C2413yes—
431C22×C4×C53C2413yes—
432C22×C4×C53C2413yes—
433C22×C4×C53C2411yescharacteristic
434C22×C4×C53C2413yes—
435C2×C22⋊D53—224no—
436C2×C22⋊D53C24112yes—
437C2×C22⋊D53C2416yes—
438C2×C22⋊D53C2416yes—
439C2×C22⋊D53C2416yes—
440C2×C22⋊D53C24112yes—
441C2×C22⋊D53C2412yes—
442C22×Dic53C2416yes—
443C22×Dic53C2416yes—
444C22×Dic53C2416yes—
445#11719949—28no—
446Q8×D53—28no—
447#11719947—224no—
448D4×D53—224no—
449#11719945—224no—
450#11719945—212no—
451#11719945—224no—
452#11719945—212no—
453#11719945—224no—
454#11719945—212no—
455#11719945—412no—
456#11719945#4118yesdirect product factor
457C2×D212—212no—
458C2×D212C2416yes—
459C2×D212C2416yes—
460C2×D212C2413yes—
461C2×D212C2416yes—
462C2×D212C2411yescharacteristic
463C2×C4×D53—224no—
464C2×C4×D53—224no—
465C2×C4×D53—412no—
466C2×C4×D53C2412yes—
467C2×C4×D53C2412yes—
468C2×C4×D53C2416yes—
469C2×C4×D53C2416yes—
470C2×C4×D53C2416yes—
471C2×C4×D53C2416yes—
472C2×C4×D53C2416yes—
473C2×C4×D53C2416yes—
474C2×C4×D53C2416yes—
475C2×C4×D53C2416yes—
476C2×C4×D53C2416yes—
477C2×C4×D53C2412yes—
478C2×Dic106—212no—
479C2×Dic106C2416yes—
480C2×Dic106C2416yes—
481C2×Dic106C2413yes—
482C2×Dic106C2416yes—
483C2×Dic106C2411yescharacteristic
484C4⋊C4×C53C2413yes—
485C4⋊C4×C53C2413yes—
486C4⋊C4×C53C2413yes—
487C4⋊C4×C53C2413yes—
488C4⋊C4×C53C2416yes—
489C4⋊C4×C53C2416yes—
490C22⋊C4×C53C2416yes—
491C22⋊C4×C53C2416yes—
492C22⋊C4×C53C2416yes—
493C22⋊C4×C53C2416yes—
494C42×C53C2411yescharacteristic
495C42×C53C2411yescharacteristic
496C42×C53C2411yescharacteristic
497C42×C53C2413yes—
498C42×C53C2413yes—
499C42×C53C2413yes—
500C42×C53C2413yes—
501C42×C53C2413yes—
502C42×C53C2413yes—
503C42×C53C2413yes—
504C42×C53C2413yes—
505C42×C53C2413yes—
506C42×C53C2413yes—
507C42×C53C2413yes—
508C42×C53C2413yes—
509C42×C53C2411yescharacteristic
510C22⋊Dic53C24112yes—
511C22⋊Dic53C2412yes—
512C22⋊Dic53C2416yes—
513C22⋊Dic53C2416yes—
514C22⋊Dic53C2416yes—
515C22⋊Dic53C24112yes—
516#11719921C24112yes—
517#11719921C24112yes—
518#11719921C2412yes—
519#11719921C2412yes—
520#11719921C2416yes—
521#11719921C2416yes—
522#11719921C2416yes—
523#11719921C2416yes—
524#11719921C2416yes—
525#11719921C2416yes—
526#11719921C24112yes—
527#11719921C24112yes—
528C4⋊Dic53C2416yes—
529C4⋊Dic53C2416yes—
530C4⋊Dic53C2411yescharacteristic
531C4⋊Dic53C2411yescharacteristic
532C4⋊Dic53C2413yes—
533C4⋊Dic53C2413yes—
534C4⋊Dic53C2416yes—
535C4⋊Dic53C2416yes—
536C4⋊Dic53C2416yes—
537C4⋊Dic53C2416yes—
538#11719919C24112yes—
539#11719919C24112yes—
540#11719919C2412yes—
541#11719919C2412yes—
542#11719919C2416yes—
543#11719919C2416yes—
544#11719919C2416yes—
545#11719919C2416yes—
546#11719919C2416yes—
547#11719919C2416yes—
548#11719919C24112yes—
549#11719919C24112yes—
550C4×Dic53C2412yes—
551C4×Dic53C2412yes—
552C4×Dic53C2412yes—
553C4×Dic53C2416yes—
554C4×Dic53C2416yes—
555C4×Dic53C2416yes—
556C4×Dic53C2416yes—
557C4×Dic53C2416yes—
558C4×Dic53C2416yes—
559C4×Dic53C2416yes—
560C4×Dic53C2416yes—
561C4×Dic53C2416yes—
562C23×C53—26no—
563C23×C53—26no—
564C23×C53—43no—
565C23×C53C2513yes—
566C23×C53C2513yes—
567C23×C53C2511yescharacteristic
568C22×D53—212no—
569C22×D53—212no—
570C22×D53—46no—
571C22×D53C2516yes—
572C22×D53C2512yes—
573Q8×C53—26no—
574Q8×C53C2×#4114yescomplemented
575D4×C53—212no—
576D4×C53—26no—
577D4×C53C2×#41112yescomplemented
578C2×C4×C53—26no—
579C2×C4×C53—26no—
580C2×C4×C53—26no—
581C2×C4×C53—26no—
582C2×C4×C53—26no—
583C2×C4×C53—26no—
584C2×C4×C53—22no—
585C2×C4×C53—26no—
586C2×C4×C53—26no—
587C2×C4×C53—26no—
588C2×C4×C53—26no—
589C2×C4×C53—26no—
590C2×C4×C53—22no—
591C2×C4×C53—43no—
592C2×C4×C53—43no—
593C2×C4×C53—43no—
594C2×C4×C53C2×#4114yescomplemented
595C2×C4×C53C2×#41112yescomplemented
596C2×C4×C53C2513yes—
597C2×C4×C53C2513yes—
598C2×C4×C53C2513yes—
599C2×C4×C53C2513yes—
600C2×C4×C53C2511yescharacteristic
601C2×C4×C53C2511yescharacteristic
602C2×C4×C53C2513yes—
603C2×C4×C53C2511yescharacteristic
604C2×C4×C53C2513yes—
605C2×C4×C53C2511yescharacteristic
606C2×C4×C53C2511yescharacteristic
607C2×C4×C53C2511yescharacteristic
608C22⋊D53—212no—
609C22⋊D53—224no—
610C22⋊D53—212no—
611C22⋊D53—212no—
612C22⋊D53—412no—
613C22⋊D53C2×#4118yescomplemented
614C2×Dic53—212no—
615C2×Dic53—212no—
616C2×Dic53—46no—
617C2×Dic53C2516yes—
618C2×Dic53C2516yes—
619C2×Dic53C2516yes—
620C2×Dic53C2512yes—
621C2×Dic53C2512yes—
622C2×Dic53C2512yes—
623D212—212no—
624D212—26no—
625D212—212no—
626D212—46no—
627D212C2×#4114yescomplemented
628C4×D53—212no—
629C4×D53—24no—
630C4×D53—212no—
631C4×D53—212no—
632C4×D53—212no—
633C4×D53—212no—
634C4×D53—24no—
635C4×D53—212no—
636C4×D53—212no—
637C4×D53—46no—
638C4×D53—46no—
639C4×D53C2×#4118yescomplemented
640Dic106—26no—
641Dic106—212no—
642Dic106—212no—
643Dic106—46no—
644Dic106C2×#4114yescomplemented
645#412—531nomaximal, Sylow
646C22×C53—23no—
647C22×C53—21no—
648C22×C53—23no—
649C22×C53—21no—
650C22×C53—23no—
651C22×C53—23no—
652C22×C53—23no—
653C22×C53—412no—
654C22×C53C22×#4112yes—
655C22×C53C22×#4116yes—
656C22×C53C2611yescharacteristic
657C2×D53—22no—
658C2×D53—22no—
659C2×D53—26no—
660C2×D53—26no—
661C2×D53—26no—
662C2×D53—424no—
663C2×D53C22×#4114yes—
664C4×C53—23no—
665C4×C53—23no—
666C4×C53—21no—
667C4×C53—23no—
668C4×C53—23no—
669C4×C53—23no—
670C4×C53—21no—
671C4×C53C22×#4112yes—
672C4×C53C22×#4112yes—
673C4×C53C22×#4116yes—
674C4×C53C22×#4112yes—
675C4×C53#58512yes—
676Dic53—26no—
677Dic53—26no—
678Dic53—22no—
679Dic53—26no—
680Dic53—22no—
681Dic53C22×#4114yes—
682#3483—531no—
683#3482—533no—
684#3482—531no—
685#3482—532no—
686#3481—533no—
687#3481—536no—
688#3480—533no—
689#3480—532no—
690#3480—531no—
691Q8×#41—531no—
692Q8×#41—531no—
693#3475—536no—
694#3475—533no—
695#3475—533no—
696#3475—536no—
697D4×#41—532no—
698D4×#41—531no—
699D4×#41—533no—
700#3444—533no—
701#3444—536no—
702C2×C4×#41—533no—
703C2×C4×#41—532no—
704C2×C4×#41D5311yescharacteristic, complemented
705C2×C53—26no—
706C2×C53—22no—
707C2×C53—43no—
708C2×C53C23×#4111yescharacteristic
709C2×C53C23×#4111yescharacteristic
710C2×C53C2×#58511yescharacteristic
711D53—24no—
712D53—46no—
713C22×#41—532no—
714C22×#41—533no—
715C22×#41C2×D5311yescharacteristic
716#559—533no—
717#559—536no—
718Q82—531no—
719#557—532no—
720#557—533no—
721#557—531no—
722#556—536no—
723#556—533no—
724#556—533no—
725#556—536no—
726#555—533no—
727#555—536no—
728#554—533no—
729#554—533no—
730#554—536no—
731#554—536no—
732#553—536no—
733#553—5312no—
734#553—536no—
735#553—536no—
736#553—536no—
737#552—536no—
738#552—536no—
739#552—5312no—
740#552—536no—
741#552—536no—
742#551—5312no—
743#551—5312no—
744#551—5312no—
745#550—532no—
746#550—531no—
747#550—533no—
748D4×Q8—532no—
749D4×Q8—531no—
750D4×Q8—533no—
751#548—532no—
752#548—532no—
753#548—532no—
754#548—536no—
755#547—536no—
756#547—533no—
757#547—533no—
758#547—536no—
759#546—536no—
760#546—536no—
761#546—536no—
762#546—536no—
763#546—5312no—
764D42—536no—
765D42—533no—
766#533—536no—
767#533—536no—
768#533—536no—
769#533—533no—
770#533—533no—
771#533—533no—
772#532—536no—
773#532—536no—
774#532—536no—
775#532—533no—
776#532—533no—
777#532—533no—
778#529—536no—
779#529—536no—
780#529—5312no—
781#529—5312no—
782#529—536no—
783#529—536no—
784#529—5312no—
785#529—5312no—
786#529—536no—
787#529—536no—
788#529—536no—
789#529—536no—
790#529—536no—
791#529—536no—
792#525—536no—
793#525—536no—
794#525—536no—
795#525—536no—
796#525—5312no—
797#525—5312no—
798#525—536no—
799C4×#41—532no—
800C4×#41—532no—
801C4×#41—532no—
802C4×#41—536no—
803C4×#41—536no—
804C4×#41—536no—
805C4×#41—531no—
806C4×#41—533no—
807C4×#41—533no—
808C4×#41—536no—
809C4×#41—536no—
810C4×#41—533no—
811C4×#41—536no—
812C4×#41—536no—
813C4×#41—533no—
814C4×#41—533no—
815C4×#41—533no—
816C4×#41—536no—
817C4×#41—533no—
818C4×#41—536no—
819C4×#41C2×D5311yescharacteristic
820C4×#41C2×D5311yescharacteristic
821C4×#41C2×D5313yescomplemented
822C4×#41C2×D5313yescomplemented
823C4×#41C2×D5313yescomplemented
824C4×#41C2×D5311yescharacteristic, complemented
825C4×#41C2×D5313yescomplemented
826C4×#41C2×D5311yescharacteristic, complemented
827C2×C4×Q8—532no—
828C2×C4×Q8—532no—
829C2×C4×Q8—533no—
830C2×C4×Q8—533no—
831C2×C4×Q8C2×D5311yescharacteristic, complemented
832C2×C4×Q8C2×D5311yescharacteristic, complemented
833C2×C4×D4—536no—
834C2×C4×D4—536no—
835C2×C4×D4—536no—
836C2×C4×D4—536no—
837C2×C4×D4—533no—
838C2×C4×D4—533no—
839C2×C4×D4C2×D5313yescomplemented
840C2×C4×D4C2×D5313yescomplemented
841C2×#117—533no—
842C2×#117—536no—
843C2×#117—536no—
844C2×#117C2×D5313yescomplemented
845C22×C42—536no—
846C22×C42C2×D5313yescomplemented
847C53#41211yescharacteristic, complemented, Sylow
848C2×#41—28no—
849C2×#41—532no—
850C2×#41—536no—
851C2×#41—531no—
852C2×#41—536no—
853C2×#41—533no—
854C2×#41—536no—
855C2×#41—533no—
856C2×#41—536no—
857C2×#41—533no—
858C2×#41—536no—
859C2×#41—10624no—
860C2×#41—10616no—
861C2×#41C22×D5313yes—
862C2×#41C22×D5313yes—
863C2×#41C22×D5311yescharacteristic
864C2×#41C22×D5311yescharacteristic
865C22×Q8—532no—
866C22×Q8—533no—
867C22×Q8C22×D5311yescharacteristic
868C22×D4—536no—
869C22×D4—536no—
870C22×D4—533no—
871C22×D4C22×D5313yes—
872C23×C4—536no—
873C23×C4—536no—
874C23×C4—536no—
875C23×C4C22×D5313yes—
876C23×C4C22×D5313yes—
877C23×C4C22×D5313yes—
878C4⋊Q8—536no—
879C4⋊Q8—536no—
880C4⋊Q8—536no—
881C4⋊Q8—533no—
882C4⋊Q8—533no—
883C4⋊Q8—533no—
884#127—536no—
885#127—533no—
886#126—5312no—
887#126—5312no—
888#126—5312no—
889#126—5312no—
890#126—5312no—
891#126—5312no—
892#125—5312no—
893#125—5312no—
894#125—536no—
895#125—536no—
896#125—536no—
897#125—536no—
898#125—536no—
899#124—536no—
900#124—536no—
901#124—5312no—
902#124—5312no—
903#124—536no—
904#124—536no—
905#124—536no—
906#123—5312no—
907#123—5312no—
908#123—5312no—
909#123—5312no—
910#123—5312no—
911#123—5312no—
912#123—5312no—
913#123—5312no—
914#123—5312no—
915C22⋊Q8—536no—
916C22⋊Q8—536no—
917C22⋊Q8—536no—
918C22⋊Q8—536no—
919C22⋊Q8—536no—
920C22⋊Q8—536no—
921C22⋊Q8—536no—
922C22⋊Q8—536no—
923C22⋊Q8—536no—
924C22⋊Q8—5312no—
925C22⋊Q8—536no—
926C22⋊Q8—5312no—
927C22⋊Q8—5312no—
928C22⋊Q8—5312no—
929#121—536no—
930#121—5312no—
931#121—5312no—
932#121—536no—
933#121—536no—
934#121—536no—
935#121—536no—
936#121—536no—
937#121—536no—
938#121—536no—
939#121—536no—
940#121—536no—
941#121—5312no—
942#121—5312no—
943#120—5312no—
944#120—5312no—
945#120—5312no—
946C4×Q8—532no—
947C4×Q8—532no—
948C4×Q8—536no—
949C4×Q8—536no—
950C4×Q8—531no—
951C4×Q8—531no—
952C4×Q8—536no—
953C4×Q8—536no—
954C4×Q8—536no—
955C4×Q8—536no—
956C4×Q8—533no—
957C4×Q8—533no—
958C4×Q8—533no—
959C4×Q8—533no—
960C4×Q8—533no—
961C4×Q8—536no—
962C4×Q8—533no—
963C4×Q8—536no—
964C4×Q8—536no—
965C4×Q8—536no—
966C4×Q8C22×D5311yescharacteristic
967C4×Q8C22×D5311yescharacteristic
968C4×Q8C22×D5311yescharacteristic
969C4×Q8C22×D5311yescharacteristic
970C4×Q8C22×D5313yes—
971C4×Q8C22×D5313yes—
972C4×Q8C22×D5313yes—
973C4×Q8C22×D5313yes—
974C4×D4—536no—
975C4×D4—536no—
976C4×D4—532no—
977C4×D4—532no—
978C4×D4—5312no—
979C4×D4—5312no—
980C4×D4—536no—
981C4×D4—536no—
982C4×D4—536no—
983C4×D4—536no—
984C4×D4—536no—
985C4×D4—536no—
986C4×D4—536no—
987C4×D4—536no—
988C4×D4—536no—
989C4×D4—536no—
990C4×D4—536no—
991C4×D4—536no—
992C4×D4—536no—
993C4×D4—536no—
994C4×D4—5312no—
995C4×D4—5312no—
996C4×D4—536no—
997C4×D4—536no—
998C4×D4—5312no—
999C4×D4—5312no—
1000C4×D4—531no—
1001C4×D4—531no—
1002C4×D4—536no—
1003C4×D4—536no—
1004C4×D4—536no—
1005C4×D4—536no—
1006C4×D4—533no—
1007C4×D4—533no—
1008C4×D4—533no—
1009C4×D4—533no—
1010C4×D4—536no—
1011C4×D4—533no—
1012C4×D4—536no—
1013C4×D4—533no—
1014C4×D4—536no—
1015C4×D4—536no—
1016C4×D4C22×D5313yes—
1017C4×D4C22×D5313yes—
1018C4×D4C22×D5313yes—
1019C4×D4C22×D5313yes—
1020C4×D4C22×D5316yes—
1021C4×D4C22×D5316yes—
1022C4×D4C22×D5313yes—
1023C4×D4C22×D5313yes—
1024C4×D4C22×D5316yes—
1025C4×D4C22×D5313yes—
1026C4×D4C22×D5316yes—
1027C4×D4C22×D5313yes—
1028#117—531no—
1029#117—533no—
1030#117—536no—
1031#117—536no—
1032#117—536no—
1033#117—533no—
1034#117—533no—
1035#117—536no—
1036#117—536no—
1037#117—536no—
1038#117—5312no—
1039#117—532no—
1040#117—536no—
1041#117—536no—
1042#117—5312no—
1043#117—536no—
1044#117—536no—
1045#117—536no—
1046#117—536no—
1047#117—536no—
1048#117—5312no—
1049#117C22×D5313yes—
1050#117C22×D5313yes—
1051#117C22×D5316yes—
1052#117C22×D5316yes—
1053#117C22×D5313yes—
1054#117C22×D5313yes—
1055C2×C4⋊C4—536no—
1056C2×C4⋊C4—533no—
1057C2×C4⋊C4—536no—
1058C2×C4⋊C4—533no—
1059C2×C4⋊C4—536no—
1060C2×C4⋊C4—536no—
1061C2×C4⋊C4C22×D5313yes—
1062C2×C4⋊C4C22×D5313yes—
1063C2×C22⋊C4—536no—
1064C2×C22⋊C4—536no—
1065C2×C22⋊C4—536no—
1066C2×C22⋊C4—5312no—
1067C2×C22⋊C4C22×D5316yes—
1068C2×C42—536no—
1069C2×C42—536no—
1070C2×C42—536no—
1071C2×C42—536no—
1072C2×C42—536no—
1073C2×C42—536no—
1074C2×C42—536no—
1075C2×C42—536no—
1076C2×C42—536no—
1077C2×C42—536no—
1078C2×C42—532no—
1079C2×C42C22×D5313yes—
1080C2×C42C22×D5313yes—
1081C2×C42C22×D5313yes—
1082C2×C42C22×D5313yes—
1083C2×C42C22×D5313yes—
1084C2×C42C22×D5313yes—
1085C2×C42C22×D5313yes—
1086C2×C42C22×D5313yes—
1087C2×C42C22×D5313yes—
1088C2×C42C22×D5313yes—
1089C2×C42C22×D5311yescharacteristic
1090C2×C42C22×D5313yes—
1091C24—536no—
1092C24C23×D5313yes—
1093#41—24no—
1094#41—212no—
1095#41—212no—
1096#41—538no—
1097#41—10624no—
1098#41—10624no—
1099#41—10612no—
1100#41—10612no—
1101#41—1068no—
1102#41—10624no—
1103#41—10612no—
1104#41—10624no—
1105#41—21212no—
1106#41#1171994518yesdirect product factor
1107C2×Q8—24no—
1108C2×Q8—531no—
1109C2×Q8—536no—
1110C2×Q8—533no—
1111C2×Q8—536no—
1112C2×Q8—536no—
1113C2×Q8—10612no—
1114C2×Q8—1068no—
1115C2×Q8C23×D5313yes—
1116C2×Q8C23×D5311yescharacteristic
1117C2×D4—212no—
1118C2×D4—532no—
1119C2×D4—536no—
1120C2×D4—536no—
1121C2×D4—5312no—
1122C2×D4—536no—
1123C2×D4—5312no—
1124C2×D4—531no—
1125C2×D4—536no—
1126C2×D4—533no—
1127C2×D4—536no—
1128C2×D4—536no—
1129C2×D4—10612no—
1130C2×D4—10624no—
1131C2×D4—10624no—
1132C2×D4C23×D5316yes—
1133C2×D4C23×D5313yes—
1134C2×D4C23×D5313yes—
1135C22×C4—212no—
1136C22×C4—212no—
1137C22×C4—46no—
1138C22×C4—532no—
1139C22×C4—536no—
1140C22×C4—536no—
1141C22×C4—536no—
1142C22×C4—532no—
1143C22×C4—532no—
1144C22×C4—536no—
1145C22×C4—536no—
1146C22×C4—536no—
1147C22×C4—536no—
1148C22×C4—536no—
1149C22×C4—536no—
1150C22×C4—536no—
1151C22×C4—536no—
1152C22×C4—536no—
1153C22×C4—10624no—
1154C22×C4—10624no—
1155C22×C4—21212no—
1156C22×C4C23×D5313yes—
1157C22×C4C23×D5313yes—
1158C22×C4C23×D5311yescharacteristic
1159C22×C4C23×D5311yescharacteristic
1160C22×C4C23×D5313yes—
1161C22×C4C23×D5313yes—
1162C22×C4C23×D5313yes—
1163C22×C4C23×D5313yes—
1164C22×C4C23×D5313yes—
1165C22×C4C23×D5313yes—
1166C22×C4C23×D5313yes—
1167C22×C4C23×D5313yes—
1168C22×C4C23×D5313yes—
1169C22×C4C23×D5313yes—
1170C22×C4C23×D5313yes—
1171C22×C4C23×D5313yes—
1172C22×C4C23×D5311yescharacteristic
1173C22×C4C23×D5313yes—
1174C4⋊C4—532no—
1175C4⋊C4—532no—
1176C4⋊C4—531no—
1177C4⋊C4—531no—
1178C4⋊C4—536no—
1179C4⋊C4—536no—
1180C4⋊C4—533no—
1181C4⋊C4—533no—
1182C4⋊C4—536no—
1183C4⋊C4—536no—
1184C4⋊C4—536no—
1185C4⋊C4—536no—
1186C4⋊C4—5312no—
1187C4⋊C4—5312no—
1188C4⋊C4—536no—
1189C4⋊C4—536no—
1190C4⋊C4—536no—
1191C4⋊C4—536no—
1192C4⋊C4—5312no—
1193C4⋊C4—5312no—
1194C4⋊C4—536no—
1195C4⋊C4—536no—
1196C4⋊C4C23×D5313yes—
1197C4⋊C4C23×D5313yes—
1198C4⋊C4C23×D5313yes—
1199C4⋊C4C23×D5313yes—
1200C4⋊C4C23×D5316yes—
1201C4⋊C4C23×D5316yes—
1202C22⋊C4—532no—
1203C22⋊C4—536no—
1204C22⋊C4—5312no—
1205C22⋊C4—536no—
1206C22⋊C4—536no—
1207C22⋊C4—5312no—
1208C22⋊C4—532no—
1209C22⋊C4—532no—
1210C22⋊C4—536no—
1211C22⋊C4—536no—
1212C22⋊C4—536no—
1213C22⋊C4—536no—
1214C22⋊C4—5312no—
1215C22⋊C4—5312no—
1216C22⋊C4—536no—
1217C22⋊C4—536no—
1218C22⋊C4—5312no—
1219C22⋊C4—5312no—
1220C22⋊C4C23×D5316yes—
1221C22⋊C4C23×D5316yes—
1222C22⋊C4C23×D5316yes—
1223C22⋊C4C23×D5316yes—
1224C42—532no—
1225C42—532no—
1226C42—532no—
1227C42—536no—
1228C42—536no—
1229C42—536no—
1230C42—536no—
1231C42—536no—
1232C42—536no—
1233C42—536no—
1234C42—536no—
1235C42—536no—
1236C42C23×D5313yes—
1237C42C23×D5313yes—
1238C42C23×D5313yes—
1239C42C23×D5311yescharacteristic
1240C42C23×D5311yescharacteristic
1241C42C23×D5311yescharacteristic
1242C42C23×D5313yes—
1243C42C23×D5313yes—
1244C42C23×D5313yes—
1245C42C23×D5313yes—
1246C42C23×D5313yes—
1247C42C23×D5313yes—
1248C42C23×D5313yes—
1249C42C23×D5313yes—
1250C42C23×D5313yes—
1251C42C23×D5311yescharacteristic
1252C23—26no—
1253C23—26no—
1254C23—43no—
1255C23—532no—
1256C23—536no—
1257C23—10612no—
1258C23—10612no—
1259C23—2126no—
1260C23C24×D5313yes—
1261C23C24×D5311yescharacteristic
1262C23C24×D5313yes—
1263Q8—26no—
1264Q8—534no—
1265Q8—10612no—
1266Q8—1066no—
1267Q8—10612no—
1268Q8—2126no—
1269Q8C2×#1171994514yescomplemented
1270D4—212no—
1271D4—26no—
1272D4—538no—
1273D4—534no—
1274D4—10612no—
1275D4—10612no—
1276D4—10612no—
1277D4—10612no—
1278D4—10624no—
1279D4—1066no—
1280D4—10612no—
1281D4—2126no—
1282D4—21212no—
1283D4C2×#11719945112yescomplemented
1284C2×C4—26no—
1285C2×C4—26no—
1286C2×C4—26no—
1287C2×C4—26no—
1288C2×C4—26no—
1289C2×C4—26no—
1290C2×C4—22no—
1291C2×C4—26no—
1292C2×C4—26no—
1293C2×C4—26no—
1294C2×C4—22no—
1295C2×C4—26no—
1296C2×C4—26no—
1297C2×C4—43no—
1298C2×C4—43no—
1299C2×C4—43no—
1300C2×C4—532no—
1301C2×C4—538no—
1302C2×C4—532no—
1303C2×C4—532no—
1304C2×C4—536no—
1305C2×C4—536no—
1306C2×C4—536no—
1307C2×C4—10612no—
1308C2×C4—10612no—
1309C2×C4—10612no—
1310C2×C4—10612no—
1311C2×C4—10612no—
1312C2×C4—1064no—
1313C2×C4—10612no—
1314C2×C4—10612no—
1315C2×C4—10612no—
1316C2×C4—1064no—
1317C2×C4—10612no—
1318C2×C4—2126no—
1319C2×C4—2126no—
1320C2×C4—2126no—
1321C2×C4#41×D5314yescomplemented
1322C2×C4C2×#11719945112yescomplemented
1323C2×C4C24×D5313yes—
1324C2×C4C24×D5313yes—
1325C2×C4C24×D5311yescharacteristic
1326C2×C4C24×D5311yescharacteristic
1327C2×C4C24×D5313yes—
1328C2×C4C24×D5313yes—
1329C2×C4C24×D5313yes—
1330C2×C4C24×D5311yescharacteristic
1331C2×C4C24×D5311yescharacteristic
1332C2×C4C24×D5311yescharacteristic
1333C2×C4C24×D5313yes—
1334C2×C4C24×D5311yescharacteristic
1335C22—23no—
1336C22—21no—
1337C22—21no—
1338C22—23no—
1339C22—23no—
1340C22—23no—
1341C22—23no—
1342C22—412no—
1343C22—534no—
1344C22—1062no—
1345C22—1062no—
1346C22—1066no—
1347C22—1066no—
1348C22—1066no—
1349C22—21224no—
1350C22C2×#41×D5312yes—
1351C22C22×#1171994516yes—
1352C22C25×D5311yescharacteristic
1353C4—23no—
1354C4—23no—
1355C4—21no—
1356C4—23no—
1357C4—21no—
1358C4—23no—
1359C4—23no—
1360C4—534no—
1361C4—1066no—
1362C4—1062no—
1363C4—1066no—
1364C4—1062no—
1365C4—1066no—
1366C4C2×#41×D5312yes—
1367C4C2×#41×D5312yes—
1368C4C22×#1171994512yes—
1369C4C22×#1171994516yes—
1370C4#1681145912yes—
1371C2—22no—
1372C2—26no—
1373C2—43no—
1374C2—1064no—
1375C2—2126no—
1376C2C22×#41×D5311yescharacteristic
1377C2C23×#1171994511yescharacteristic
1378C2C2×#1681145911yescharacteristic
subgroupG/H
centerC42C23×D53
commutator, socle, cosocleC22×C53C26
FrattiniC22C25×D53
FittingC2×C4×#41×C53C2
hypercenterC2×C4×#41D53
hypocenterC53#412
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C42 ◁ C2×C4×#41

Complements

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

NH ≅ G/Ntype
1. #20288341C2semidirect
2. #20288337C2semidirect
3. #20288332C2semidirect
4. #20288330C2semidirect
5. #20288325C2semidirect
6. #20288319C2semidirect
7. #20288313C2semidirect
8. #20288310C2semidirect
9. #20288308C2semidirect
10. Q8×#11719945C2semidirect
11. #41×Dic106C2semidirect
12. #20288279C2semidirect
13. #20288277C2semidirect
14. #20288273C2semidirect
15. #20288269C2semidirect
16. #41×D212C2semidirect
17. D4×#11719945C2semidirect
18. #41×C22⋊D53C2semidirect
19. #20288011C2semidirect
20. #20288008C2semidirect
21. C2×C4×#11719945C2semidirect
22. C4×#41×D53C2semidirect
23. C2×C4×#41×C53C2semidirect
26. #16811358C22semidirect
27. #16811356C22semidirect
28. Q8×Dic106C22semidirect
29. #16811352C22semidirect
30. #16811351C22semidirect
31. #16811349C22semidirect
32. #16811346C22semidirect
33. #16811345C22semidirect
34. #16811343C22semidirect
35. #16811341C22semidirect
36. #16811338C22semidirect
37. #16811336C22semidirect
38. #16811333C22semidirect
39. #16811332C22semidirect
40. #16811330C22semidirect
41. #16811328C22semidirect
42. #16811323C22semidirect
43. #16811322C22semidirect
44. #16811321C22semidirect
45. #16811319C22semidirect
46. #16811317C22semidirect
47. #16811314C22semidirect
48. #16811313C22semidirect
49. #16811312C22semidirect
50. #16811308C22semidirect
51. #16811306C22semidirect
52. #16811302C22semidirect
53. #16811299C22semidirect
54. #16811297C22semidirect
55. #16811295C22semidirect
56. #16811294C22semidirect
57. #16811292C22semidirect
58. Q8×D212C22semidirect
59. D4×Dic106C22semidirect
60. Q8×C22⋊D53C22semidirect
61. #16811285C22semidirect
62. #16811284C22semidirect
63. #16811282C22semidirect
64. #16811280C22semidirect
65. #16811278C22semidirect
66. #16811277C22semidirect
67. #16811274C22semidirect
68. #16811272C22semidirect
69. #16811269C22semidirect
70. #16811268C22semidirect
71. #16811267C22semidirect
72. #16811263C22semidirect
73. #16811261C22semidirect
74. D4×D212C22semidirect
75. D4×C22⋊D53C22semidirect
76. #16811180C22semidirect
77. #16811180C22semidirect
78. #16811180C22semidirect
79. #16811177C22semidirect
80. #16811177C22semidirect
81. #16811176C22semidirect
82. #16811173C22semidirect
83. #16811173C22semidirect
84. #16811173C22semidirect
85. #16811170C22semidirect
86. #16811170C22semidirect
87. #16811169C22semidirect
88. #16811160C22semidirect
89. #16811160C22semidirect
90. #16811157C22semidirect
91. #16811157C22semidirect
92. #16811157C22semidirect
93. #16811157C22semidirect
94. #16811157C22semidirect
95. #16811157C22semidirect
96. #16811155C22semidirect
97. #16811155C22semidirect
98. #16811153C22semidirect
99. #16811153C22semidirect
100. #16811151C22semidirect
101. #16811151C22semidirect
102. #16811135C22semidirect
103. #16811134C22semidirect
104. #16811134C22semidirect
105. #16811134C22semidirect
106. #16811132C22semidirect
107. #16811132C22semidirect
108. #16811130C22semidirect
110. C4×#11719949C22semidirect
111. C4×#11719949C22semidirect
114. C4×#11719945C22semidirect
115. C4×#11719945C22semidirect
116. C4×#11719945C22semidirect
117. C4×#11719945C22semidirect
118. C4×#11719945C22semidirect
119. C4×#11719945C22semidirect
120. C4×#11719945C22semidirect
121. C4×#11719945C22semidirect
122. C4×#11719945C22semidirect
123. C4×#11719945C22semidirect
124. C4×#11719945C22semidirect
125. C4×#11719945C22semidirect
126. #16811091C22semidirect
127. C4×#11719947C22semidirect
128. C4×#11719947C22semidirect
129. C2×C4×Dic106C22semidirect
130. C2×C4×Dic106C22semidirect
131. C4×Q8×D53C22semidirect
132. C4×Q8×D53C22semidirect
133. C2×C4×D212C22semidirect
134. C2×C4×D212C22semidirect
135. C2×C4×C22⋊D53C22semidirect
136. C2×C4×C22⋊D53C22semidirect
137. C4×D4×D53C22semidirect
138. C4×D4×D53C22semidirect
139. C2×#13133176C22semidirect
140. C2×#13133174C22semidirect
141. #117×D53C22semidirect
142. C2×C42×D53C22semidirect
146. C4×#41×C53C22semidirect
147. C4×#41×C53C22semidirect
148. C4×#41×C53C22semidirect
149. C4×#41×C53C22semidirect
150. C4×#41×C53C22semidirect
151. C4×#41×C53C22semidirect
152. C2×C4×Q8×C53C22semidirect
153. C2×C4×Q8×C53C22semidirect
154. C2×C4×D4×C53C22semidirect
155. C2×C4×D4×C53C22semidirect
156. C2×#117×C53C22semidirect
157. C22×C42×C53C22semidirect
406. #41×C53#41semidirect
456. #11719945#41direct (N × H)
574. Q8×C53C2×#41semidirect
577. D4×C53C2×#41semidirect
594. C2×C4×C53C2×#41semidirect
595. C2×C4×C53C2×#41semidirect
613. C22⋊D53C2×#41semidirect
627. D212C2×#41semidirect
639. C4×D53C2×#41semidirect
644. Dic106C2×#41semidirect
704. C2×C4×#41D53semidirect
821. C4×#41C2×D53semidirect
822. C4×#41C2×D53semidirect
823. C4×#41C2×D53semidirect
824. C4×#41C2×D53semidirect
825. C4×#41C2×D53semidirect
826. C4×#41C2×D53semidirect
831. C2×C4×Q8C2×D53semidirect
832. C2×C4×Q8C2×D53semidirect
839. C2×C4×D4C2×D53semidirect
840. C2×C4×D4C2×D53semidirect
844. C2×#117C2×D53semidirect
846. C22×C42C2×D53semidirect
847. C53#412semidirect
1106. #41#11719945direct (N × H)
1269. Q8C2×#11719945semidirect
1283. D4C2×#11719945semidirect
1321. C2×C4#41×D53semidirect
1322. C2×C4C2×#11719945semidirect

Maximal subgroups

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

subgroupindex
#202883412
#202883372
#202883322
#202883302
#202883252
#202883192
#202883132
#202883102
#202883082
Q8×#117199452
#41×Dic1062
#202882792
#202882772
#202882732
#202882692
#41×D2122
D4×#117199452
#41×C22⋊D532
#202880112
#202880082
C2×C4×#117199452
C4×#41×D532
C2×C4×#41×C532
#41253