Finite Group Databasebeta

← #41×#11929624 #35195379

Subgroups — #41×#11929624 #35195379

Order 20224.

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#23777026C211yesmaximal, characteristic, complemented
2#23777022C211yesmaximal, characteristic, complemented
3#23777017C212yesmaximal, complemented
4#23777015C213yesmaximal, complemented
5#23777010C213yesmaximal, complemented
6#23777004C216yesmaximal, complemented
7#23776998C212yesmaximal, complemented
8#23776995C211yesmaximal, characteristic, complemented
9#23776993C213yesmaximal, complemented
10Q8×#11929624C211yesmaximal, characteristic, complemented
11#41×Dic158C211yesmaximal, characteristic, complemented
12#23776964C213yesmaximal, complemented
13#23776962C216yesmaximal, complemented
14#23776958C213yesmaximal, complemented
15#23776954C216yesmaximal, complemented
16#41×D316C211yesmaximal, characteristic, complemented
17D4×#11929624C213yesmaximal, complemented
18#41×C22⋊D79C212yesmaximal, complemented
19#23776696C213yesmaximal, complemented
20#23776693C216yesmaximal, complemented
21C2×C4×#11929624C213yesmaximal, complemented
22C4×#41×D79C212yesmaximal, complemented
23C2×C4×#41×C79C211yesmaximal, characteristic, complemented
24C22×#11929624C2213yes—
25C2×#41×D79C2212yes—
26#19099298C2213yescomplemented
27#19099296C2216yescomplemented
28Q8×Dic158C2211yescharacteristic, complemented
29#19099292C2211yescharacteristic, complemented
30#19099291C2213yescomplemented
31#19099289C2212yescomplemented
32#19099286C2213yescomplemented
33#19099285C2216yescomplemented
34#19099283C2213yescomplemented
35#19099281C2216yescomplemented
36#19099278C2213yescomplemented
37#19099276C2216yescomplemented
38#19099273C2213yescomplemented
39#19099272C2216yescomplemented
40#19099270C2213yescomplemented
41#19099268C2216yescomplemented
42#19099263C2216yescomplemented
43#19099262C22112yescomplemented
44#19099261C2216yescomplemented
45#19099259C2216yescomplemented
46#19099257C2216yescomplemented
47#19099254C2216yescomplemented
48#19099253C2216yescomplemented
49#19099252C2216yescomplemented
50#19099248C2216yescomplemented
51#19099246C22112yescomplemented
52#19099242C22112yescomplemented
53#19099239C22112yescomplemented
54#19099237C22112yescomplemented
55#19099235C2211yescharacteristic, complemented
56#19099234C2213yescomplemented
57#19099232C2212yescomplemented
58Q8×D316C2211yescharacteristic, complemented
59D4×Dic158C2213yescomplemented
60Q8×C22⋊D79C2212yescomplemented
61#19099225C2212yescomplemented
62#19099224C2212yescomplemented
63#19099222C2216yescomplemented
64#19099220C2212yescomplemented
65#19099218C2213yescomplemented
66#19099217C2213yescomplemented
67#19099214C2216yescomplemented
68#19099212C2216yescomplemented
69#19099209C2216yescomplemented
70#19099208C2216yescomplemented
71#19099207C2216yescomplemented
72#19099203C22112yescomplemented
73#19099201C2216yescomplemented
74D4×D316C2213yescomplemented
75D4×C22⋊D79C2216yescomplemented
76#19099120C2213yescomplemented
77#19099120C2213yescomplemented
78#19099120C2213yescomplemented
79#19099117C2216yescomplemented
80#19099117C2216yescomplemented
81#19099116C2216yescomplemented
82#19099113C2213yescomplemented
83#19099113C2213yescomplemented
84#19099113C2213yescomplemented
85#19099110C2216yescomplemented
86#19099110C2216yescomplemented
87#19099109C2216yescomplemented
88#19099100C2216yescomplemented
89#19099100C2216yescomplemented
90#19099097C2216yescomplemented
91#19099097C2216yescomplemented
92#19099097C2216yescomplemented
93#19099097C2216yescomplemented
94#19099097C2216yescomplemented
95#19099097C2216yescomplemented
96#19099095C2216yescomplemented
97#19099095C2216yescomplemented
98#19099093C22112yescomplemented
99#19099093C22112yescomplemented
100#19099091C22112yescomplemented
101#19099091C22112yescomplemented
102#19099075C2216yescomplemented
103#19099074C2216yescomplemented
104#19099074C2216yescomplemented
105#19099074C2216yescomplemented
106#19099072C22112yescomplemented
107#19099072C22112yescomplemented
108#19099070C2216yescomplemented
109#41×Dic79C2212yes—
110C4×#11929625C2212yescomplemented
111C4×#11929625C2212yescomplemented
112C4×#11929624C2211yescharacteristic
113C4×#11929624C2213yes—
114C4×#11929624C2213yescomplemented
115C4×#11929624C2216yescomplemented
116C4×#11929624C2216yescomplemented
117C4×#11929624C2213yescomplemented
118C4×#11929624C2216yescomplemented
119C4×#11929624C2213yescomplemented
120C4×#11929624C2216yescomplemented
121C4×#11929624C2213yescomplemented
122C4×#11929624C2213yescomplemented
123C4×#11929624C2216yescomplemented
124C4×#11929624C2213yescomplemented
125C4×#11929624C2216yescomplemented
126#19099031C2216yescomplemented
127C4×#11929623C2216yescomplemented
128C4×#11929623C2216yescomplemented
129C2×C4×Dic158C2213yescomplemented
130C2×C4×Dic158C2213yescomplemented
131C4×Q8×D79C2212yescomplemented
132C4×Q8×D79C2212yescomplemented
133C2×C4×D316C2213yescomplemented
134C2×C4×D316C2213yescomplemented
135C2×C4×C22⋊D79C2216yescomplemented
136C2×C4×C22⋊D79C2216yescomplemented
137C4×D4×D79C2216yescomplemented
138C4×D4×D79C2216yescomplemented
139C2×#14579120C2213yescomplemented
140C2×#14579118C2216yescomplemented
141#117×D79C2216yescomplemented
142C2×C42×D79C2216yescomplemented
143C22×#41×C79C2211yescharacteristic
144C4×#41×C79C2211yescharacteristic
145C4×#41×C79C2211yescharacteristic
146C4×#41×C79C2211yescharacteristic, complemented
147C4×#41×C79C2213yescomplemented
148C4×#41×C79C2213yescomplemented
149C4×#41×C79C2213yescomplemented
150C4×#41×C79C2211yescharacteristic, complemented
151C4×#41×C79C2213yescomplemented
152C2×C4×Q8×C79C2211yescharacteristic, complemented
153C2×C4×Q8×C79C2211yescharacteristic, complemented
154C2×C4×D4×C79C2213yescomplemented
155C2×C4×D4×C79C2213yescomplemented
156C2×#117×C79C2213yescomplemented
157C22×C42×C79C2213yescomplemented
158C2×#11929625C2312yes—
159C2×#11929624—224no—
160C2×#11929624C2316yes—
161C2×#11929624C2313yes—
162C2×#11929624C2313yes—
163C2×#11929624C2316yes—
164C2×#11929624C2316yes—
165C2×#11929624C2313yes—
166C2×#11929624C2316yes—
167C2×#11929624C2311yescharacteristic
168C2×#11929623C2316yes—
169#41×D79—216no—
170C22×Dic158C2313yes—
171C2×Q8×D79C2312yes—
172C22×D316C2313yes—
173C22×C22⋊D79C2316yes—
174C2×D4×D79C2316yes—
175C22×C4×D79C2316yes—
176C22×C4×D79C2316yes—
177C22×C4×D79C2316yes—
178#14579161C2313yes—
179#14579161C2313yes—
180#14579161C2313yes—
181#14579160C2316yes—
182#14579160C2316yes—
183#14579159C2316yes—
184#14579158C2313yes—
185#14579157C2316yes—
186#14579156C23112yes—
187#14579156C23112yes—
188#14579155C23112yes—
189#14579155C23112yes—
190#14579154C23112yes—
191#14579154C23112yes—
192#14579153C2316yes—
193#14579153C2316yes—
194#14579153C2316yes—
195#14579152C2316yes—
196#14579152C2316yes—
197#14579151C23112yes—
198#14579151C23112yes—
199#14579150C2316yes—
200#14579149C2316yes—
201#14579149C2316yes—
202#14579149C2316yes—
203#14579148C2316yes—
204#14579147C23112yes—
205#14579147C23112yes—
206#14579146C23112yes—
207#14579146C23112yes—
208#14579145C23112yes—
209#14579144C23112yes—
210#14579144C23112yes—
211#14579144C23112yes—
212#14579143C23112yes—
213#14579143C23112yes—
214#14579142C23112yes—
215#14579141C2316yes—
216#14579141C2316yes—
217#14579140C2316yes—
218#14579140C2316yes—
219#14579140C2316yes—
220#14579140C2316yes—
221#14579140C2316yes—
222#14579140C2316yes—
223#14579139C23112yes—
224#14579139C23112yes—
225#14579138C23112yes—
226#14579138C23112yes—
227#14579137C2316yes—
228#14579137C2316yes—
229#14579136C2316yes—
230#14579136C2316yes—
231#14579135C2316yes—
232#14579135C2316yes—
233#14579135C2316yes—
234#14579135C2316yes—
235#14579135C2316yes—
236#14579135C2316yes—
237#14579134C23112yes—
238#14579134C23112yes—
239#14579133C23112yes—
240#14579133C23112yes—
241#14579132C2316yes—
242#14579132C2316yes—
243#14579131C23112yes—
244#14579130C23112yes—
245#14579129C23112yes—
246Q8×Dic79C2312yes—
247Q8×Dic79C2312yes—
248C4×Dic158C2313yes—
249C4×Dic158C2313yes—
250C4×Dic158C2316yes—
251C4×Dic158C2313yes—
252C4×Dic158C2313yes—
253C4×Dic158C2316yes—
254C4×Dic158C2316yes—
255C4×Dic158C2316yes—
256C4×Dic158C2311yescharacteristic
257C4×Dic158C2311yescharacteristic
258C4×Dic158C2316yes—
259C4×Dic158C2316yes—
260C4×Dic158C2313yes—
261C4×Dic158C2313yes—
262C4×Dic158C2316yes—
263C4×Dic158C2316yes—
264#14579126C2316yes—
265#14579126C2316yes—
266C4×D316C2313yes—
267C4×D316C2316yes—
268C4×D316C2313yes—
269C4×D316C2313yes—
270C4×D316C2316yes—
271C4×D316C2313yes—
272C4×D316C2316yes—
273C4×D316C2316yes—
274C4×D316C2311yescharacteristic
275C4×D316C2311yescharacteristic
276C4×D316C2316yes—
277C4×D316C2316yes—
278C4×D316C2313yes—
279C4×D316C2313yes—
280C4×D316C2316yes—
281C4×D316C2316yes—
282D4×Dic79C2316yes—
283D4×Dic79C2316yes—
284#14579123C2316yes—
285#14579123C2316yes—
286C4×C22⋊D79C2316yes—
287C4×C22⋊D79C2316yes—
288C4×C22⋊D79C2316yes—
289C4×C22⋊D79C2316yes—
290C4×C22⋊D79C2316yes—
291C4×C22⋊D79C2316yes—
292C4×C22⋊D79C2316yes—
293C4×C22⋊D79C2316yes—
294C4×C22⋊D79C23112yes—
295C4×C22⋊D79C23112yes—
296C4×C22⋊D79C2312yes—
297C4×C22⋊D79C2312yes—
298C4×C22⋊D79C2316yes—
299C4×C22⋊D79C2316yes—
300C4×C22⋊D79C2316yes—
301C4×C22⋊D79C2316yes—
302C4×C22⋊D79C2316yes—
303C4×C22⋊D79C2316yes—
304C4×C22⋊D79C23112yes—
305C4×C22⋊D79C23112yes—
306(C22⋊D79)⋊C4C23112yes—
307(C22⋊D79)⋊C4C23112yes—
308#14579120C2316yes—
309#14579120C2313yes—
310#14579120C2313yes—
311#14579120C2316yes—
312#14579120C2311yescharacteristic
313#14579120C2313yes—
314#14579120C2316yes—
315#14579120C2316yes—
316#14579119C2316yes—
317#14579119C2316yes—
318#14579118C2316yes—
319#14579118C2316yes—
320#14579118C2316yes—
321#14579118C2316yes—
322#14579118C23112yes—
323#14579118C2312yes—
324#14579118C2316yes—
325#14579118C2316yes—
326#14579118C2316yes—
327#14579118C23112yes—
328#14579117C23112yes—
329C2×C4⋊Dic79C2313yes—
330C2×C4⋊Dic79C2313yes—
331C2×Dic79⋊C4C2316yes—
332C2×Dic79⋊C4C2316yes—
333C4⋊C4×D79C2316yes—
334C4⋊C4×D79C2316yes—
335C2×C22⋊Dic79C2316yes—
336C2×(C2×D79)⋊C4C2316yes—
337C2×(C2×D79)⋊C4C2316yes—
338C22⋊C4×D79C23112yes—
339C2×C4×Dic79C2316yes—
340C2×C4×Dic79C2316yes—
341C2×C4×Dic79C2316yes—
342C42×D79C2312yes—
343C42×D79C2316yes—
344C42×D79C2316yes—
345C42×D79C2316yes—
346C42×D79C2316yes—
347C42×D79C2316yes—
348C42×D79C2316yes—
349C42×D79C2316yes—
350C2×#41×C79—28no—
351C2×#41×C79C2313yes—
352C2×#41×C79C2311yescharacteristic
353C2×#41×C79C2313yes—
354C2×#41×C79C2311yescharacteristic
355C22×Q8×C79C2311yescharacteristic
356C22×D4×C79C2313yes—
357C23×C4×C79C2313yes—
358C23×C4×C79C2313yes—
359C23×C4×C79C2313yes—
360C4×Q8×C79C2311yescharacteristic
361C4×Q8×C79C2311yescharacteristic
362C4×Q8×C79C2311yescharacteristic
363C4×Q8×C79C2311yescharacteristic
364C4×Q8×C79C2313yes—
365C4×Q8×C79C2313yes—
366C4×Q8×C79C2313yes—
367C4×Q8×C79C2313yes—
368C4×D4×C79C2313yes—
369C4×D4×C79C2313yes—
370C4×D4×C79C2316yes—
371C4×D4×C79C2313yes—
372C4×D4×C79C2313yes—
373C4×D4×C79C2313yes—
374C4×D4×C79C2316yes—
375C4×D4×C79C2313yes—
376C4×D4×C79C2316yes—
377C4×D4×C79C2316yes—
378C4×D4×C79C2313yes—
379C4×D4×C79C2313yes—
380#117×C79C2313yes—
381#117×C79C2313yes—
382#117×C79C2316yes—
383#117×C79C2313yes—
384#117×C79C2313yes—
385#117×C79C2316yes—
386C2×C4⋊C4×C79C2313yes—
387C2×C4⋊C4×C79C2313yes—
388C2×C22⋊C4×C79C2316yes—
389C2×C42×C79C2311yescharacteristic
390C2×C42×C79C2313yes—
391C2×C42×C79C2313yes—
392C2×C42×C79C2313yes—
393C2×C42×C79C2313yes—
394C2×C42×C79C2313yes—
395C2×C42×C79C2313yes—
396C2×C42×C79C2313yes—
397C2×C42×C79C2313yes—
398C2×C42×C79C2313yes—
399C2×C42×C79C2313yes—
400C2×C42×C79C2313yes—
401C23×D79C2416yes—
402#11929625—28no—
403#11929624—212no—
404#11929624—224no—
405#11929624—212no—
406#11929624—224no—
407#11929624—212no—
408#11929624—224no—
409#11929624—412no—
410#11929624#4118yesdirect product factor
411#11929623—224no—
412C2×Dic158—212no—
413C2×Dic158C2416yes—
414C2×Dic158C2416yes—
415C2×Dic158C2413yes—
416C2×Dic158C2416yes—
417C2×Dic158C2411yescharacteristic
418Q8×D79—28no—
419C2×D316—212no—
420C2×D316C2416yes—
421C2×D316C2413yes—
422C2×D316C2416yes—
423C2×D316C2416yes—
424C2×D316C2411yescharacteristic
425C2×C22⋊D79—224no—
426C2×C22⋊D79C24112yes—
427C2×C22⋊D79C2416yes—
428C2×C22⋊D79C2416yes—
429C2×C22⋊D79C2416yes—
430C2×C22⋊D79C24112yes—
431C2×C22⋊D79C2412yes—
432D4×D79—224no—
433C22×Dic79C2416yes—
434C22×Dic79C2416yes—
435C22×Dic79C2416yes—
436C2×C4×D79—224no—
437C2×C4×D79—224no—
438C2×C4×D79—412no—
439C2×C4×D79C2416yes—
440C2×C4×D79C2416yes—
441C2×C4×D79C2416yes—
442C2×C4×D79C2416yes—
443C2×C4×D79C2416yes—
444C2×C4×D79C2416yes—
445C2×C4×D79C2416yes—
446C2×C4×D79C2412yes—
447C2×C4×D79C2412yes—
448C2×C4×D79C2416yes—
449C2×C4×D79C2416yes—
450C2×C4×D79C2412yes—
451C4⋊Dic79C2416yes—
452C4⋊Dic79C2416yes—
453C4⋊Dic79C2411yescharacteristic
454C4⋊Dic79C2411yescharacteristic
455C4⋊Dic79C2413yes—
456C4⋊Dic79C2413yes—
457C4⋊Dic79C2416yes—
458C4⋊Dic79C2416yes—
459C4⋊Dic79C2416yes—
460C4⋊Dic79C2416yes—
461Dic79⋊C4C24112yes—
462Dic79⋊C4C24112yes—
463Dic79⋊C4C2412yes—
464Dic79⋊C4C2412yes—
465Dic79⋊C4C2416yes—
466Dic79⋊C4C2416yes—
467Dic79⋊C4C2416yes—
468Dic79⋊C4C2416yes—
469Dic79⋊C4C2416yes—
470Dic79⋊C4C2416yes—
471Dic79⋊C4C24112yes—
472Dic79⋊C4C24112yes—
473C22⋊Dic79C24112yes—
474C22⋊Dic79C2412yes—
475C22⋊Dic79C2416yes—
476C22⋊Dic79C2416yes—
477C22⋊Dic79C2416yes—
478C22⋊Dic79C24112yes—
479(C2×D79)⋊C4C24112yes—
480(C2×D79)⋊C4C24112yes—
481(C2×D79)⋊C4C2412yes—
482(C2×D79)⋊C4C2412yes—
483(C2×D79)⋊C4C2416yes—
484(C2×D79)⋊C4C2416yes—
485(C2×D79)⋊C4C2416yes—
486(C2×D79)⋊C4C2416yes—
487(C2×D79)⋊C4C2416yes—
488(C2×D79)⋊C4C2416yes—
489(C2×D79)⋊C4C24112yes—
490(C2×D79)⋊C4C24112yes—
491C4×Dic79C2412yes—
492C4×Dic79C2412yes—
493C4×Dic79C2412yes—
494C4×Dic79C2416yes—
495C4×Dic79C2416yes—
496C4×Dic79C2416yes—
497C4×Dic79C2416yes—
498C4×Dic79C2416yes—
499C4×Dic79C2416yes—
500C4×Dic79C2416yes—
501C4×Dic79C2416yes—
502C4×Dic79C2416yes—
503C24×C79C2413yes—
504#41×C79—24no—
505#41×C79—212no—
506#41×C79—212no—
507#41×C79#4118yescomplemented
508C2×Q8×C79—24no—
509C2×Q8×C79C2413yes—
510C2×Q8×C79C2411yescharacteristic
511C2×D4×C79—212no—
512C2×D4×C79C2416yes—
513C2×D4×C79C2413yes—
514C2×D4×C79C2413yes—
515C22×C4×C79—212no—
516C22×C4×C79—212no—
517C22×C4×C79—46no—
518C22×C4×C79C2413yes—
519C22×C4×C79C2413yes—
520C22×C4×C79C2413yes—
521C22×C4×C79C2413yes—
522C22×C4×C79C2413yes—
523C22×C4×C79C2411yescharacteristic
524C22×C4×C79C2411yescharacteristic
525C22×C4×C79C2413yes—
526C22×C4×C79C2413yes—
527C22×C4×C79C2413yes—
528C22×C4×C79C2413yes—
529C22×C4×C79C2413yes—
530C22×C4×C79C2413yes—
531C22×C4×C79C2413yes—
532C22×C4×C79C2413yes—
533C22×C4×C79C2413yes—
534C22×C4×C79C2411yescharacteristic
535C22×C4×C79C2413yes—
536C4⋊C4×C79C2413yes—
537C4⋊C4×C79C2413yes—
538C4⋊C4×C79C2413yes—
539C4⋊C4×C79C2413yes—
540C4⋊C4×C79C2416yes—
541C4⋊C4×C79C2416yes—
542C22⋊C4×C79C2416yes—
543C22⋊C4×C79C2416yes—
544C22⋊C4×C79C2416yes—
545C22⋊C4×C79C2416yes—
546C42×C79C2411yescharacteristic
547C42×C79C2411yescharacteristic
548C42×C79C2411yescharacteristic
549C42×C79C2413yes—
550C42×C79C2413yes—
551C42×C79C2413yes—
552C42×C79C2413yes—
553C42×C79C2413yes—
554C42×C79C2413yes—
555C42×C79C2413yes—
556C42×C79C2413yes—
557C42×C79C2413yes—
558C42×C79C2413yes—
559C42×C79C2413yes—
560C42×C79C2413yes—
561C42×C79C2411yescharacteristic
562C23×C79—26no—
563C23×C79—26no—
564C23×C79—43no—
565C23×C79C2513yes—
566C23×C79C2511yescharacteristic
567C23×C79C2513yes—
568C22×D79—212no—
569C22×D79—212no—
570C22×D79—46no—
571C22×D79C2516yes—
572C22×D79C2512yes—
573Q8×C79—26no—
574Q8×C79C2×#4114yescomplemented
575D4×C79—212no—
576D4×C79—26no—
577D4×C79C2×#41112yescomplemented
578C2×C4×C79—26no—
579C2×C4×C79—26no—
580C2×C4×C79—26no—
581C2×C4×C79—26no—
582C2×C4×C79—26no—
583C2×C4×C79—26no—
584C2×C4×C79—22no—
585C2×C4×C79—26no—
586C2×C4×C79—26no—
587C2×C4×C79—26no—
588C2×C4×C79—26no—
589C2×C4×C79—26no—
590C2×C4×C79—22no—
591C2×C4×C79—43no—
592C2×C4×C79—43no—
593C2×C4×C79—43no—
594C2×C4×C79C2×#4114yescomplemented
595C2×C4×C79C2×#41112yescomplemented
596C2×C4×C79C2513yes—
597C2×C4×C79C2513yes—
598C2×C4×C79C2511yescharacteristic
599C2×C4×C79C2511yescharacteristic
600C2×C4×C79C2513yes—
601C2×C4×C79C2513yes—
602C2×C4×C79C2513yes—
603C2×C4×C79C2511yescharacteristic
604C2×C4×C79C2511yescharacteristic
605C2×C4×C79C2513yes—
606C2×C4×C79C2511yescharacteristic
607C2×C4×C79C2511yescharacteristic
608C22⋊D79—224no—
609C22⋊D79—212no—
610C22⋊D79—212no—
611C22⋊D79—212no—
612C22⋊D79—412no—
613C22⋊D79C2×#4118yescomplemented
614C2×Dic79—212no—
615C2×Dic79—212no—
616C2×Dic79—46no—
617C2×Dic79C2512yes—
618C2×Dic79C2512yes—
619C2×Dic79C2516yes—
620C2×Dic79C2516yes—
621C2×Dic79C2516yes—
622C2×Dic79C2512yes—
623D316—212no—
624D316—212no—
625D316—26no—
626D316—46no—
627D316C2×#4114yescomplemented
628C4×D79—212no—
629C4×D79—24no—
630C4×D79—212no—
631C4×D79—212no—
632C4×D79—212no—
633C4×D79—212no—
634C4×D79—24no—
635C4×D79—212no—
636C4×D79—212no—
637C4×D79—46no—
638C4×D79—46no—
639C4×D79C2×#4118yescomplemented
640Dic158—212no—
641Dic158—26no—
642Dic158—212no—
643Dic158—46no—
644Dic158C2×#4114yescomplemented
645C22×C79—21no—
646C22×C79—23no—
647C22×C79—21no—
648C22×C79—23no—
649C22×C79—23no—
650C22×C79—23no—
651C22×C79—23no—
652C22×C79—412no—
653C22×C79C22×#4112yes—
654C22×C79C22×#4116yes—
655C22×C79C2611yescharacteristic
656C2×D79—22no—
657C2×D79—22no—
658C2×D79—26no—
659C2×D79—26no—
660C2×D79—26no—
661C2×D79—424no—
662C2×D79C22×#4114yes—
663C4×C79—21no—
664C4×C79—23no—
665C4×C79—23no—
666C4×C79—23no—
667C4×C79—21no—
668C4×C79—23no—
669C4×C79—23no—
670C4×C79C22×#4112yes—
671C4×C79C22×#4112yes—
672C4×C79C22×#4112yes—
673C4×C79C22×#4116yes—
674C4×C79#58512yes—
675Dic79—26no—
676Dic79—26no—
677Dic79—22no—
678Dic79—26no—
679Dic79—22no—
680Dic79C22×#4114yes—
681#412—791nomaximal, Sylow
682C2×C79—26no—
683C2×C79—22no—
684C2×C79—43no—
685C2×C79C23×#4111yescharacteristic
686C2×C79C23×#4111yescharacteristic
687C2×C79C2×#58511yescharacteristic
688D79—24no—
689D79—46no—
690#3483—791no—
691#3482—793no—
692#3482—791no—
693#3482—792no—
694#3481—793no—
695#3481—796no—
696#3480—793no—
697#3480—792no—
698#3480—791no—
699Q8×#41—791no—
700Q8×#41—791no—
701#3475—796no—
702#3475—793no—
703#3475—793no—
704#3475—796no—
705D4×#41—792no—
706D4×#41—791no—
707D4×#41—793no—
708#3444—793no—
709#3444—796no—
710C2×C4×#41—793no—
711C2×C4×#41—792no—
712C2×C4×#41D7911yescharacteristic, complemented
713C79#41211yescharacteristic, complemented, Sylow
714C22×#41—792no—
715C22×#41—793no—
716C22×#41C2×D7911yescharacteristic
717#559—793no—
718#559—796no—
719Q82—791no—
720#557—792no—
721#557—793no—
722#557—791no—
723#556—796no—
724#556—793no—
725#556—793no—
726#556—796no—
727#555—793no—
728#555—796no—
729#554—793no—
730#554—793no—
731#554—796no—
732#554—796no—
733#553—796no—
734#553—7912no—
735#553—796no—
736#553—796no—
737#553—796no—
738#552—796no—
739#552—796no—
740#552—7912no—
741#552—796no—
742#552—796no—
743#551—7912no—
744#551—7912no—
745#551—7912no—
746#550—792no—
747#550—791no—
748#550—793no—
749D4×Q8—792no—
750D4×Q8—791no—
751D4×Q8—793no—
752#548—792no—
753#548—792no—
754#548—792no—
755#548—796no—
756#547—796no—
757#547—793no—
758#547—793no—
759#547—796no—
760#546—796no—
761#546—796no—
762#546—796no—
763#546—796no—
764#546—7912no—
765D42—796no—
766D42—793no—
767#533—796no—
768#533—796no—
769#533—796no—
770#533—793no—
771#533—793no—
772#533—793no—
773#532—796no—
774#532—796no—
775#532—796no—
776#532—793no—
777#532—793no—
778#532—793no—
779#529—796no—
780#529—796no—
781#529—7912no—
782#529—796no—
783#529—7912no—
784#529—796no—
785#529—7912no—
786#529—7912no—
787#529—796no—
788#529—796no—
789#529—796no—
790#529—796no—
791#529—796no—
792#529—796no—
793#525—796no—
794#525—796no—
795#525—796no—
796#525—796no—
797#525—7912no—
798#525—7912no—
799#525—796no—
800C4×#41—792no—
801C4×#41—792no—
802C4×#41—792no—
803C4×#41—796no—
804C4×#41—796no—
805C4×#41—796no—
806C4×#41—791no—
807C4×#41—793no—
808C4×#41—796no—
809C4×#41—796no—
810C4×#41—793no—
811C4×#41—793no—
812C4×#41—796no—
813C4×#41—796no—
814C4×#41—793no—
815C4×#41—793no—
816C4×#41—793no—
817C4×#41—796no—
818C4×#41—793no—
819C4×#41—796no—
820C4×#41C2×D7911yescharacteristic
821C4×#41C2×D7911yescharacteristic
822C4×#41C2×D7913yescomplemented
823C4×#41C2×D7913yescomplemented
824C4×#41C2×D7913yescomplemented
825C4×#41C2×D7911yescharacteristic, complemented
826C4×#41C2×D7913yescomplemented
827C4×#41C2×D7911yescharacteristic, complemented
828C2×C4×Q8—792no—
829C2×C4×Q8—792no—
830C2×C4×Q8—793no—
831C2×C4×Q8—793no—
832C2×C4×Q8C2×D7911yescharacteristic, complemented
833C2×C4×Q8C2×D7911yescharacteristic, complemented
834C2×C4×D4—796no—
835C2×C4×D4—796no—
836C2×C4×D4—796no—
837C2×C4×D4—796no—
838C2×C4×D4—793no—
839C2×C4×D4—793no—
840C2×C4×D4C2×D7913yescomplemented
841C2×C4×D4C2×D7913yescomplemented
842C2×#117—793no—
843C2×#117—796no—
844C2×#117—796no—
845C2×#117C2×D7913yescomplemented
846C22×C42—796no—
847C22×C42C2×D7913yescomplemented
848C2×#41—28no—
849C2×#41—792no—
850C2×#41—796no—
851C2×#41—796no—
852C2×#41—791no—
853C2×#41—796no—
854C2×#41—793no—
855C2×#41—796no—
856C2×#41—793no—
857C2×#41—796no—
858C2×#41—793no—
859C2×#41—15824no—
860C2×#41—15816no—
861C2×#41C22×D7913yes—
862C2×#41C22×D7913yes—
863C2×#41C22×D7911yescharacteristic
864C2×#41C22×D7911yescharacteristic
865C22×Q8—792no—
866C22×Q8—793no—
867C22×Q8C22×D7911yescharacteristic
868C22×D4—796no—
869C22×D4—796no—
870C22×D4—793no—
871C22×D4C22×D7913yes—
872C23×C4—796no—
873C23×C4—796no—
874C23×C4—796no—
875C23×C4C22×D7913yes—
876C23×C4C22×D7913yes—
877C23×C4C22×D7913yes—
878C4⋊Q8—796no—
879C4⋊Q8—796no—
880C4⋊Q8—796no—
881C4⋊Q8—793no—
882C4⋊Q8—793no—
883C4⋊Q8—793no—
884#127—796no—
885#127—793no—
886#126—7912no—
887#126—7912no—
888#126—7912no—
889#126—7912no—
890#126—7912no—
891#126—7912no—
892#125—7912no—
893#125—7912no—
894#125—796no—
895#125—796no—
896#125—796no—
897#125—796no—
898#125—796no—
899#124—796no—
900#124—796no—
901#124—7912no—
902#124—7912no—
903#124—796no—
904#124—796no—
905#124—796no—
906#123—7912no—
907#123—7912no—
908#123—7912no—
909#123—7912no—
910#123—7912no—
911#123—7912no—
912#123—7912no—
913#123—7912no—
914#123—7912no—
915C22⋊Q8—796no—
916C22⋊Q8—796no—
917C22⋊Q8—796no—
918C22⋊Q8—796no—
919C22⋊Q8—796no—
920C22⋊Q8—796no—
921C22⋊Q8—796no—
922C22⋊Q8—796no—
923C22⋊Q8—796no—
924C22⋊Q8—7912no—
925C22⋊Q8—796no—
926C22⋊Q8—7912no—
927C22⋊Q8—7912no—
928C22⋊Q8—7912no—
929#121—796no—
930#121—7912no—
931#121—7912no—
932#121—796no—
933#121—796no—
934#121—796no—
935#121—796no—
936#121—796no—
937#121—796no—
938#121—796no—
939#121—796no—
940#121—796no—
941#121—7912no—
942#121—7912no—
943#120—7912no—
944#120—7912no—
945#120—7912no—
946C4×Q8—792no—
947C4×Q8—792no—
948C4×Q8—796no—
949C4×Q8—796no—
950C4×Q8—791no—
951C4×Q8—791no—
952C4×Q8—796no—
953C4×Q8—796no—
954C4×Q8—796no—
955C4×Q8—796no—
956C4×Q8—793no—
957C4×Q8—793no—
958C4×Q8—793no—
959C4×Q8—793no—
960C4×Q8—793no—
961C4×Q8—796no—
962C4×Q8—793no—
963C4×Q8—796no—
964C4×Q8—796no—
965C4×Q8—796no—
966C4×Q8C22×D7911yescharacteristic
967C4×Q8C22×D7911yescharacteristic
968C4×Q8C22×D7911yescharacteristic
969C4×Q8C22×D7911yescharacteristic
970C4×Q8C22×D7913yes—
971C4×Q8C22×D7913yes—
972C4×Q8C22×D7913yes—
973C4×Q8C22×D7913yes—
974C4×D4—796no—
975C4×D4—796no—
976C4×D4—792no—
977C4×D4—792no—
978C4×D4—7912no—
979C4×D4—7912no—
980C4×D4—796no—
981C4×D4—796no—
982C4×D4—796no—
983C4×D4—796no—
984C4×D4—796no—
985C4×D4—796no—
986C4×D4—796no—
987C4×D4—796no—
988C4×D4—796no—
989C4×D4—796no—
990C4×D4—796no—
991C4×D4—796no—
992C4×D4—796no—
993C4×D4—796no—
994C4×D4—7912no—
995C4×D4—7912no—
996C4×D4—796no—
997C4×D4—796no—
998C4×D4—7912no—
999C4×D4—7912no—
1000C4×D4—791no—
1001C4×D4—791no—
1002C4×D4—796no—
1003C4×D4—796no—
1004C4×D4—796no—
1005C4×D4—796no—
1006C4×D4—793no—
1007C4×D4—793no—
1008C4×D4—793no—
1009C4×D4—793no—
1010C4×D4—796no—
1011C4×D4—793no—
1012C4×D4—796no—
1013C4×D4—793no—
1014C4×D4—796no—
1015C4×D4—796no—
1016C4×D4C22×D7913yes—
1017C4×D4C22×D7913yes—
1018C4×D4C22×D7913yes—
1019C4×D4C22×D7913yes—
1020C4×D4C22×D7916yes—
1021C4×D4C22×D7916yes—
1022C4×D4C22×D7913yes—
1023C4×D4C22×D7913yes—
1024C4×D4C22×D7916yes—
1025C4×D4C22×D7913yes—
1026C4×D4C22×D7916yes—
1027C4×D4C22×D7913yes—
1028#117—791no—
1029#117—793no—
1030#117—796no—
1031#117—796no—
1032#117—796no—
1033#117—793no—
1034#117—793no—
1035#117—796no—
1036#117—796no—
1037#117—796no—
1038#117—7912no—
1039#117—792no—
1040#117—796no—
1041#117—796no—
1042#117—7912no—
1043#117—796no—
1044#117—796no—
1045#117—796no—
1046#117—796no—
1047#117—796no—
1048#117—7912no—
1049#117C22×D7913yes—
1050#117C22×D7913yes—
1051#117C22×D7916yes—
1052#117C22×D7916yes—
1053#117C22×D7913yes—
1054#117C22×D7913yes—
1055C2×C4⋊C4—796no—
1056C2×C4⋊C4—793no—
1057C2×C4⋊C4—796no—
1058C2×C4⋊C4—793no—
1059C2×C4⋊C4—796no—
1060C2×C4⋊C4—796no—
1061C2×C4⋊C4C22×D7913yes—
1062C2×C4⋊C4C22×D7913yes—
1063C2×C22⋊C4—796no—
1064C2×C22⋊C4—796no—
1065C2×C22⋊C4—796no—
1066C2×C22⋊C4—7912no—
1067C2×C22⋊C4C22×D7916yes—
1068C2×C42—796no—
1069C2×C42—796no—
1070C2×C42—796no—
1071C2×C42—796no—
1072C2×C42—796no—
1073C2×C42—796no—
1074C2×C42—796no—
1075C2×C42—796no—
1076C2×C42—796no—
1077C2×C42—796no—
1078C2×C42—792no—
1079C2×C42C22×D7913yes—
1080C2×C42C22×D7913yes—
1081C2×C42C22×D7913yes—
1082C2×C42C22×D7913yes—
1083C2×C42C22×D7913yes—
1084C2×C42C22×D7913yes—
1085C2×C42C22×D7913yes—
1086C2×C42C22×D7913yes—
1087C2×C42C22×D7913yes—
1088C2×C42C22×D7913yes—
1089C2×C42C22×D7911yescharacteristic
1090C2×C42C22×D7913yes—
1091C24—796no—
1092C24C23×D7913yes—
1093#41—24no—
1094#41—212no—
1095#41—212no—
1096#41—31612no—
1097#41—798no—
1098#41—15824no—
1099#41—15824no—
1100#41—15812no—
1101#41—15812no—
1102#41—1588no—
1103#41—15824no—
1104#41—15812no—
1105#41—15824no—
1106#41#1192962418yesdirect product factor
1107C2×Q8—24no—
1108C2×Q8—796no—
1109C2×Q8—791no—
1110C2×Q8—796no—
1111C2×Q8—793no—
1112C2×Q8—796no—
1113C2×Q8—15812no—
1114C2×Q8—1588no—
1115C2×Q8C23×D7913yes—
1116C2×Q8C23×D7911yescharacteristic
1117C2×D4—212no—
1118C2×D4—7912no—
1119C2×D4—792no—
1120C2×D4—796no—
1121C2×D4—796no—
1122C2×D4—7912no—
1123C2×D4—796no—
1124C2×D4—796no—
1125C2×D4—791no—
1126C2×D4—796no—
1127C2×D4—793no—
1128C2×D4—796no—
1129C2×D4—15812no—
1130C2×D4—15824no—
1131C2×D4—15824no—
1132C2×D4C23×D7916yes—
1133C2×D4C23×D7913yes—
1134C2×D4C23×D7913yes—
1135C22×C4—212no—
1136C22×C4—212no—
1137C22×C4—46no—
1138C22×C4—31612no—
1139C22×C4—796no—
1140C22×C4—796no—
1141C22×C4—796no—
1142C22×C4—792no—
1143C22×C4—796no—
1144C22×C4—796no—
1145C22×C4—792no—
1146C22×C4—792no—
1147C22×C4—796no—
1148C22×C4—796no—
1149C22×C4—796no—
1150C22×C4—796no—
1151C22×C4—796no—
1152C22×C4—796no—
1153C22×C4—796no—
1154C22×C4—15824no—
1155C22×C4—15824no—
1156C22×C4C23×D7913yes—
1157C22×C4C23×D7913yes—
1158C22×C4C23×D7911yescharacteristic
1159C22×C4C23×D7911yescharacteristic
1160C22×C4C23×D7913yes—
1161C22×C4C23×D7913yes—
1162C22×C4C23×D7913yes—
1163C22×C4C23×D7913yes—
1164C22×C4C23×D7913yes—
1165C22×C4C23×D7913yes—
1166C22×C4C23×D7913yes—
1167C22×C4C23×D7913yes—
1168C22×C4C23×D7913yes—
1169C22×C4C23×D7913yes—
1170C22×C4C23×D7913yes—
1171C22×C4C23×D7913yes—
1172C22×C4C23×D7911yescharacteristic
1173C22×C4C23×D7913yes—
1174C4⋊C4—792no—
1175C4⋊C4—792no—
1176C4⋊C4—796no—
1177C4⋊C4—796no—
1178C4⋊C4—796no—
1179C4⋊C4—796no—
1180C4⋊C4—7912no—
1181C4⋊C4—7912no—
1182C4⋊C4—796no—
1183C4⋊C4—796no—
1184C4⋊C4—7912no—
1185C4⋊C4—7912no—
1186C4⋊C4—791no—
1187C4⋊C4—791no—
1188C4⋊C4—793no—
1189C4⋊C4—793no—
1190C4⋊C4—796no—
1191C4⋊C4—796no—
1192C4⋊C4—796no—
1193C4⋊C4—796no—
1194C4⋊C4—796no—
1195C4⋊C4—796no—
1196C4⋊C4C23×D7913yes—
1197C4⋊C4C23×D7913yes—
1198C4⋊C4C23×D7913yes—
1199C4⋊C4C23×D7913yes—
1200C4⋊C4C23×D7916yes—
1201C4⋊C4C23×D7916yes—
1202C22⋊C4—792no—
1203C22⋊C4—796no—
1204C22⋊C4—7912no—
1205C22⋊C4—796no—
1206C22⋊C4—796no—
1207C22⋊C4—7912no—
1208C22⋊C4—792no—
1209C22⋊C4—792no—
1210C22⋊C4—796no—
1211C22⋊C4—796no—
1212C22⋊C4—796no—
1213C22⋊C4—796no—
1214C22⋊C4—7912no—
1215C22⋊C4—7912no—
1216C22⋊C4—796no—
1217C22⋊C4—796no—
1218C22⋊C4—7912no—
1219C22⋊C4—7912no—
1220C22⋊C4C23×D7916yes—
1221C22⋊C4C23×D7916yes—
1222C22⋊C4C23×D7916yes—
1223C22⋊C4C23×D7916yes—
1224C42—792no—
1225C42—792no—
1226C42—792no—
1227C42—796no—
1228C42—796no—
1229C42—796no—
1230C42—796no—
1231C42—796no—
1232C42—796no—
1233C42—796no—
1234C42—796no—
1235C42—796no—
1236C42C23×D7913yes—
1237C42C23×D7913yes—
1238C42C23×D7913yes—
1239C42C23×D7911yescharacteristic
1240C42C23×D7911yescharacteristic
1241C42C23×D7911yescharacteristic
1242C42C23×D7913yes—
1243C42C23×D7913yes—
1244C42C23×D7913yes—
1245C42C23×D7913yes—
1246C42C23×D7913yes—
1247C42C23×D7913yes—
1248C42C23×D7913yes—
1249C42C23×D7913yes—
1250C42C23×D7913yes—
1251C42C23×D7911yescharacteristic
1252C23—26no—
1253C23—26no—
1254C23—43no—
1255C23—3166no—
1256C23—792no—
1257C23—796no—
1258C23—15812no—
1259C23—15812no—
1260C23C24×D7913yes—
1261C23C24×D7911yescharacteristic
1262C23C24×D7913yes—
1263Q8—26no—
1264Q8—3166no—
1265Q8—794no—
1266Q8—15812no—
1267Q8—1586no—
1268Q8—15812no—
1269Q8C2×#1192962414yescomplemented
1270D4—212no—
1271D4—26no—
1272D4—3166no—
1273D4—31612no—
1274D4—798no—
1275D4—794no—
1276D4—15812no—
1277D4—15812no—
1278D4—15812no—
1279D4—15812no—
1280D4—15824no—
1281D4—1586no—
1282D4—15812no—
1283D4C2×#11929624112yescomplemented
1284C2×C4—26no—
1285C2×C4—26no—
1286C2×C4—22no—
1287C2×C4—26no—
1288C2×C4—26no—
1289C2×C4—26no—
1290C2×C4—26no—
1291C2×C4—26no—
1292C2×C4—26no—
1293C2×C4—22no—
1294C2×C4—26no—
1295C2×C4—26no—
1296C2×C4—26no—
1297C2×C4—43no—
1298C2×C4—43no—
1299C2×C4—43no—
1300C2×C4—3166no—
1301C2×C4—3166no—
1302C2×C4—3166no—
1303C2×C4—792no—
1304C2×C4—798no—
1305C2×C4—792no—
1306C2×C4—792no—
1307C2×C4—796no—
1308C2×C4—796no—
1309C2×C4—796no—
1310C2×C4—15812no—
1311C2×C4—15812no—
1312C2×C4—15812no—
1313C2×C4—15812no—
1314C2×C4—1584no—
1315C2×C4—15812no—
1316C2×C4—15812no—
1317C2×C4—1584no—
1318C2×C4—15812no—
1319C2×C4—15812no—
1320C2×C4—15812no—
1321C2×C4#41×D7914yescomplemented
1322C2×C4C2×#11929624112yescomplemented
1323C2×C4C24×D7913yes—
1324C2×C4C24×D7913yes—
1325C2×C4C24×D7911yescharacteristic
1326C2×C4C24×D7911yescharacteristic
1327C2×C4C24×D7913yes—
1328C2×C4C24×D7913yes—
1329C2×C4C24×D7913yes—
1330C2×C4C24×D7911yescharacteristic
1331C2×C4C24×D7911yescharacteristic
1332C2×C4C24×D7911yescharacteristic
1333C2×C4C24×D7911yescharacteristic
1334C2×C4C24×D7913yes—
1335C22—23no—
1336C22—21no—
1337C22—21no—
1338C22—23no—
1339C22—23no—
1340C22—23no—
1341C22—23no—
1342C22—412no—
1343C22—31624no—
1344C22—794no—
1345C22—1586no—
1346C22—1586no—
1347C22—1586no—
1348C22—1582no—
1349C22—1582no—
1350C22C2×#41×D7912yes—
1351C22C22×#1192962416yes—
1352C22C25×D7911yescharacteristic
1353C4—23no—
1354C4—23no—
1355C4—21no—
1356C4—23no—
1357C4—21no—
1358C4—23no—
1359C4—23no—
1360C4—794no—
1361C4—1586no—
1362C4—1582no—
1363C4—1586no—
1364C4—1582no—
1365C4—1586no—
1366C4C2×#41×D7912yes—
1367C4C2×#41×D7912yes—
1368C4C22×#1192962412yes—
1369C4C22×#1192962416yes—
1370C4#1909939912yes—
1371C2—22no—
1372C2—26no—
1373C2—43no—
1374C2—3166no—
1375C2—1584no—
1376C2C22×#41×D7911yescharacteristic
1377C2C23×#1192962411yescharacteristic
1378C2C2×#1909939911yescharacteristic
subgroupG/H
centerC42C23×D79
commutator, socle, cosocleC22×C79C26
FrattiniC22C25×D79
FittingC2×C4×#41×C79C2
hypercenterC2×C4×#41D79
hypocenterC79#412
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C42 ◁ C2×C4×#41

Complements

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

NH ≅ G/Ntype
1. #23777026C2semidirect
2. #23777022C2semidirect
3. #23777017C2semidirect
4. #23777015C2semidirect
5. #23777010C2semidirect
6. #23777004C2semidirect
7. #23776998C2semidirect
8. #23776995C2semidirect
9. #23776993C2semidirect
10. Q8×#11929624C2semidirect
11. #41×Dic158C2semidirect
12. #23776964C2semidirect
13. #23776962C2semidirect
14. #23776958C2semidirect
15. #23776954C2semidirect
16. #41×D316C2semidirect
17. D4×#11929624C2semidirect
18. #41×C22⋊D79C2semidirect
19. #23776696C2semidirect
20. #23776693C2semidirect
21. C2×C4×#11929624C2semidirect
22. C4×#41×D79C2semidirect
23. C2×C4×#41×C79C2semidirect
26. #19099298C22semidirect
27. #19099296C22semidirect
28. Q8×Dic158C22semidirect
29. #19099292C22semidirect
30. #19099291C22semidirect
31. #19099289C22semidirect
32. #19099286C22semidirect
33. #19099285C22semidirect
34. #19099283C22semidirect
35. #19099281C22semidirect
36. #19099278C22semidirect
37. #19099276C22semidirect
38. #19099273C22semidirect
39. #19099272C22semidirect
40. #19099270C22semidirect
41. #19099268C22semidirect
42. #19099263C22semidirect
43. #19099262C22semidirect
44. #19099261C22semidirect
45. #19099259C22semidirect
46. #19099257C22semidirect
47. #19099254C22semidirect
48. #19099253C22semidirect
49. #19099252C22semidirect
50. #19099248C22semidirect
51. #19099246C22semidirect
52. #19099242C22semidirect
53. #19099239C22semidirect
54. #19099237C22semidirect
55. #19099235C22semidirect
56. #19099234C22semidirect
57. #19099232C22semidirect
58. Q8×D316C22semidirect
59. D4×Dic158C22semidirect
60. Q8×C22⋊D79C22semidirect
61. #19099225C22semidirect
62. #19099224C22semidirect
63. #19099222C22semidirect
64. #19099220C22semidirect
65. #19099218C22semidirect
66. #19099217C22semidirect
67. #19099214C22semidirect
68. #19099212C22semidirect
69. #19099209C22semidirect
70. #19099208C22semidirect
71. #19099207C22semidirect
72. #19099203C22semidirect
73. #19099201C22semidirect
74. D4×D316C22semidirect
75. D4×C22⋊D79C22semidirect
76. #19099120C22semidirect
77. #19099120C22semidirect
78. #19099120C22semidirect
79. #19099117C22semidirect
80. #19099117C22semidirect
81. #19099116C22semidirect
82. #19099113C22semidirect
83. #19099113C22semidirect
84. #19099113C22semidirect
85. #19099110C22semidirect
86. #19099110C22semidirect
87. #19099109C22semidirect
88. #19099100C22semidirect
89. #19099100C22semidirect
90. #19099097C22semidirect
91. #19099097C22semidirect
92. #19099097C22semidirect
93. #19099097C22semidirect
94. #19099097C22semidirect
95. #19099097C22semidirect
96. #19099095C22semidirect
97. #19099095C22semidirect
98. #19099093C22semidirect
99. #19099093C22semidirect
100. #19099091C22semidirect
101. #19099091C22semidirect
102. #19099075C22semidirect
103. #19099074C22semidirect
104. #19099074C22semidirect
105. #19099074C22semidirect
106. #19099072C22semidirect
107. #19099072C22semidirect
108. #19099070C22semidirect
110. C4×#11929625C22semidirect
111. C4×#11929625C22semidirect
114. C4×#11929624C22semidirect
115. C4×#11929624C22semidirect
116. C4×#11929624C22semidirect
117. C4×#11929624C22semidirect
118. C4×#11929624C22semidirect
119. C4×#11929624C22semidirect
120. C4×#11929624C22semidirect
121. C4×#11929624C22semidirect
122. C4×#11929624C22semidirect
123. C4×#11929624C22semidirect
124. C4×#11929624C22semidirect
125. C4×#11929624C22semidirect
126. #19099031C22semidirect
127. C4×#11929623C22semidirect
128. C4×#11929623C22semidirect
129. C2×C4×Dic158C22semidirect
130. C2×C4×Dic158C22semidirect
131. C4×Q8×D79C22semidirect
132. C4×Q8×D79C22semidirect
133. C2×C4×D316C22semidirect
134. C2×C4×D316C22semidirect
135. C2×C4×C22⋊D79C22semidirect
136. C2×C4×C22⋊D79C22semidirect
137. C4×D4×D79C22semidirect
138. C4×D4×D79C22semidirect
139. C2×#14579120C22semidirect
140. C2×#14579118C22semidirect
141. #117×D79C22semidirect
142. C2×C42×D79C22semidirect
146. C4×#41×C79C22semidirect
147. C4×#41×C79C22semidirect
148. C4×#41×C79C22semidirect
149. C4×#41×C79C22semidirect
150. C4×#41×C79C22semidirect
151. C4×#41×C79C22semidirect
152. C2×C4×Q8×C79C22semidirect
153. C2×C4×Q8×C79C22semidirect
154. C2×C4×D4×C79C22semidirect
155. C2×C4×D4×C79C22semidirect
156. C2×#117×C79C22semidirect
157. C22×C42×C79C22semidirect
410. #11929624#41direct (N × H)
507. #41×C79#41semidirect
574. Q8×C79C2×#41semidirect
577. D4×C79C2×#41semidirect
594. C2×C4×C79C2×#41semidirect
595. C2×C4×C79C2×#41semidirect
613. C22⋊D79C2×#41semidirect
627. D316C2×#41semidirect
639. C4×D79C2×#41semidirect
644. Dic158C2×#41semidirect
712. C2×C4×#41D79semidirect
713. C79#412semidirect
822. C4×#41C2×D79semidirect
823. C4×#41C2×D79semidirect
824. C4×#41C2×D79semidirect
825. C4×#41C2×D79semidirect
826. C4×#41C2×D79semidirect
827. C4×#41C2×D79semidirect
832. C2×C4×Q8C2×D79semidirect
833. C2×C4×Q8C2×D79semidirect
840. C2×C4×D4C2×D79semidirect
841. C2×C4×D4C2×D79semidirect
845. C2×#117C2×D79semidirect
847. C22×C42C2×D79semidirect
1106. #41#11929624direct (N × H)
1269. Q8C2×#11929624semidirect
1283. D4C2×#11929624semidirect
1321. C2×C4#41×D79semidirect
1322. C2×C4C2×#11929624semidirect

Maximal subgroups

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

subgroupindex
#237770262
#237770222
#237770172
#237770152
#237770102
#237770042
#237769982
#237769952
#237769932
Q8×#119296242
#41×Dic1582
#237769642
#237769622
#237769582
#237769542
#41×D3162
D4×#119296242
#41×C22⋊D792
#237766962
#237766932
C2×C4×#119296242
C4×#41×D792
C2×C4×#41×C792
#41279