Finite Group Databasebeta

← #3482×D79 #35195357

Subgroups — #3482×D79 #35195357

Order 20224.

7706 conjugacy classes of subgroups.

The subgroup lattice has 1372 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777022C211yesmaximal, characteristic, complemented
2#23777021C211yesmaximal, characteristic, complemented
3#23777020C211yesmaximal, characteristic, complemented
4#23777019C213yesmaximal, complemented
5#23777018C213yesmaximal, complemented
6#23777017C212yesmaximal, complemented
7#23777016C212yesmaximal, complemented
8#23777015C213yesmaximal, complemented
9#23777014C216yesmaximal, complemented
10#23777013C216yesmaximal, complemented
11#23777012C213yesmaximal, complemented
12#557×D79C211yesmaximal, characteristic, complemented
13#556×D79C213yesmaximal, complemented
14#552×D79C216yesmaximal, complemented
15D4×Q8×D79C211yesmaximal, characteristic, complemented
16#548×D79C212yesmaximal, complemented
17#547×D79C213yesmaximal, complemented
18#533×D79C213yesmaximal, complemented
19#529×D79C216yesmaximal, complemented
20C4×#41×D79C213yesmaximal, complemented
21C4×#41×D79C211yesmaximal, characteristic, complemented
22C2×C4×Q8×D79C212yesmaximal, complemented
23C79×#3482C211yesmaximal, characteristic, complemented
24C2×#41×D79C2213yes—
25C2×#41×D79C2211yescharacteristic
26C22×Q8×D79C2212yes—
27#19099292C2211yescharacteristic, complemented
28#19099291C2213yescomplemented
29#19099290C2216yescomplemented
30#19099289C2212yescomplemented
31#19099288C2213yescomplemented
32#19099287C2213yescomplemented
33#19099286C2213yescomplemented
34#19099285C2216yescomplemented
35#19099284C2216yescomplemented
36#19099283C2213yescomplemented
37#19099282C2216yescomplemented
38#19099281C2216yescomplemented
39#19099280C22112yescomplemented
40#19099255C2216yescomplemented
41#19099254C2216yescomplemented
42#19099253C2216yescomplemented
43#19099252C2216yescomplemented
44#19099251C2216yescomplemented
45#19099250C22112yescomplemented
46#19099249C22112yescomplemented
47#19099248C2216yescomplemented
48#19099247C2216yescomplemented
49#19099246C22112yescomplemented
50#19099245C22112yescomplemented
51Q8×D316C2211yescharacteristic, complemented
52D4×Dic158C2213yescomplemented
53#19099228C2213yescomplemented
54Q8×C22⋊D79C2212yescomplemented
55#19099226C2216yescomplemented
56#19099225C2212yescomplemented
57#19099224C2212yescomplemented
58#19099223C2216yescomplemented
59#19099222C2216yescomplemented
60#19099221C2216yescomplemented
61#19099220C2212yescomplemented
62#19099219C2216yescomplemented
63#19099218C2213yescomplemented
64#19099217C2213yescomplemented
65#19099216C2213yescomplemented
66#19099215C2216yescomplemented
67#19099214C2216yescomplemented
68#19099213C2216yescomplemented
69#19099212C2216yescomplemented
70#19099211C22112yescomplemented
71#19099120C2213yescomplemented
72#19099119C2216yescomplemented
73#19099118C2213yescomplemented
74#19099118C2213yescomplemented
75#19099117C2216yescomplemented
76#19099117C2216yescomplemented
77#19099116C2216yescomplemented
78#19099115C2216yescomplemented
79#19099115C2216yescomplemented
80C4⋊Q8×D79C2213yes—
81C4⋊Q8×D79C2213yes—
82#19099100C2216yescomplemented
83#19099099C2216yescomplemented
84#19099098C2216yescomplemented
85#19099097C2216yescomplemented
86#19099096C22112yescomplemented
87#19099095C2216yescomplemented
88#19099094C2216yescomplemented
89#19099093C22112yescomplemented
90#19099092C2216yescomplemented
91#19099091C22112yescomplemented
92#19099090C22112yescomplemented
93#126×D79C22112yes—
94#125×D79C2216yes—
95#125×D79C2216yes—
96#124×D79C2216yes—
97#123×D79C22112yes—
98C22⋊Q8×D79C2216yes—
99C22⋊Q8×D79C2216yes—
100C22⋊Q8×D79C2216yes—
101#121×D79C2216yes—
102#41×Dic79C2213yescomplemented
103#41×Dic79C2211yescharacteristic, complemented
104C4×#11929625C2211yescharacteristic, complemented
105C4×#11929625C2213yescomplemented
106C4×#11929625C2213yescomplemented
107C4×#11929625C2211yescharacteristic, complemented
108C4×#11929624C2216yescomplemented
109C4×#11929624C2213yescomplemented
110C4×#11929624C2213yescomplemented
111#19099031C2216yescomplemented
112#19099031C2213yescomplemented
113#19099031C2213yescomplemented
114C4×#11929623C2213yescomplemented
115C4×#11929623C2213yescomplemented
116C4×#11929623C2216yescomplemented
117C4×#11929623C2213yescomplemented
118C4×#11929623C2216yescomplemented
119C4×#11929623C2213yescomplemented
120C2×Q8×Dic79C2212yescomplemented
121C2×C4×Dic158C2216yescomplemented
122C2×#14579126C2216yescomplemented
123C4×Q8×D79C2211yescharacteristic
124C4×Q8×D79C2212yes—
125C4×Q8×D79C2216yes—
126C4×Q8×D79C2216yes—
127C4×Q8×D79C2211yescharacteristic
128C4×Q8×D79C2213yes—
129C4×Q8×D79C2213yes—
130C4×Q8×D79C2216yescomplemented
131C4×Q8×D79C2216yescomplemented
132C4×Q8×D79C2212yescomplemented
133C4×Q8×D79C2212yescomplemented
134C4×D4×D79C2211yescharacteristic
135C4×D4×D79C2213yes—
136C4×D4×D79C2213yes—
137C4×D4×D79C2216yes—
138C4×D4×D79C2216yes—
139C4×D4×D79C2213yes—
140#117×D79C2216yes—
141#117×D79C2213yes—
142#117×D79C2213yes—
143#117×D79C2216yes—
144C2×C4⋊C4×D79C2216yes—
145C2×C42×D79C2216yes—
146C2×C42×D79C2213yes—
147#557×C79C2211yescharacteristic, complemented
148#556×C79C2213yescomplemented
149#552×C79C2216yescomplemented
150D4×Q8×C79C2211yescharacteristic, complemented
151#548×C79C2212yescomplemented
152#547×C79C2213yescomplemented
153#533×C79C2213yescomplemented
154#529×C79C2216yescomplemented
155C4×#41×C79C2213yescomplemented
156C4×#41×C79C2211yescharacteristic, complemented
157C2×C4×Q8×C79C2212yescomplemented
158C2×#11929625C2313yes—
159C2×#11929625C2311yescharacteristic
160C2×#11929624C2316yes—
161C2×#11929624C2313yes—
162C2×#11929624C2313yes—
163C2×#11929623C2316yes—
164C2×#11929623C2313yes—
165C2×#11929623C2313yes—
166#41×D79—28no—
167#41×D79—224no—
168C22×Dic158C2316yes—
169C2×Q8×D79—216no—
170C2×Q8×D79C2312yes—
171C2×Q8×D79C2316yes—
172C2×Q8×D79C2316yes—
173C2×Q8×D79C2313yes—
174C2×Q8×D79C2311yescharacteristic
175C2×D4×D79C2316yes—
176C2×D4×D79C2313yes—
177C2×D4×D79C2311yescharacteristic
178C22×C4×D79C2312yes—
179C22×C4×D79C2316yes—
180C22×C4×D79C2316yes—
181C22×C4×D79C2313yes—
182C22×C4×D79C2313yes—
183C22×C4×D79C2313yes—
184#14579161C2313yes—
185#14579161C2313yes—
186#14579160C2316yes—
187#14579160C2316yes—
188#14579160C2316yes—
189#14579160C2316yes—
190#14579159C2316yes—
191#14579159C2316yes—
192#14579156C23112yes—
193#14579156C23112yes—
194#14579156C23112yes—
195#14579155C23112yes—
196#14579154C23112yes—
197#14579154C23112yes—
198#14579154C23112yes—
199#14579153C2316yes—
200#14579153C2316yes—
201#14579152C2316yes—
202#14579152C2316yes—
203#14579152C2316yes—
204#14579152C2316yes—
205#14579151C23112yes—
206#14579151C23112yes—
207#14579151C23112yes—
208#14579151C23112yes—
209#14579150C2316yes—
210#14579149C2316yes—
211#14579148C2316yes—
212#14579147C23112yes—
213#14579147C23112yes—
214#14579146C23112yes—
215#14579146C23112yes—
216#14579145C23112yes—
217#14579144C23112yes—
218#14579143C23112yes—
219#14579143C23112yes—
220#14579142C23112yes—
221#14579141C2316yes—
222#14579141C2316yes—
223#14579141C2316yes—
224#14579140C2316yes—
225#14579140C2316yes—
226#14579140C2316yes—
227#14579139C23112yes—
228#14579139C23112yes—
229#14579139C23112yes—
230#14579138C23112yes—
231#14579138C23112yes—
232#14579138C23112yes—
233#14579137C2316yes—
234#14579137C2316yes—
235#14579137C2316yes—
236#14579136C2316yes—
237#14579135C2316yes—
238#14579134C23112yes—
239#14579133C23112yes—
240#14579132C2316yes—
241Q8×Dic79C2312yes—
242Q8×Dic79C2311yescharacteristic
243Q8×Dic79C2316yes—
244Q8×Dic79C2311yescharacteristic
245Q8×Dic79C2316yes—
246Q8×Dic79C2313yes—
247Q8×Dic79C2313yes—
248C4×Dic158C2316yes—
249C4×Dic158C2313yes—
250C4×Dic158C23112yes—
251C4×Dic158C2316yes—
252C4×Dic158C2313yes—
253C4×Dic158C23112yes—
254C4×Dic158C2316yes—
255C4×Dic158C2316yes—
256C4×Dic158C2313yes—
257C4×Dic158C2316yes—
258C4×Dic158C2313yes—
259#14579126C2316yes—
260#14579126C2313yes—
261#14579126C23112yes—
262#14579126C2316yes—
263#14579126C2316yes—
264#14579126C2313yes—
265#14579126C2313yes—
266#14579126C23112yes—
267#14579126C2316yes—
268#14579126C2313yes—
269#14579126C2316yes—
270C4×D316C2313yes—
271C4×D316C2313yes—
272C4×D316C2316yes—
273C4×D316C2311yescharacteristic
274C4×D316C2316yes—
275C4×D316C2313yes—
276D4×Dic79C2313yes—
277D4×Dic79C2313yes—
278D4×Dic79C2316yes—
279D4×Dic79C2311yescharacteristic
280D4×Dic79C2316yes—
281D4×Dic79C2313yes—
282#14579123C2313yes—
283#14579123C2313yes—
284#14579123C2316yes—
285#14579123C2311yescharacteristic
286#14579123C2316yes—
287#14579123C2313yes—
288C4×C22⋊D79C2316yes—
289C4×C22⋊D79C2316yes—
290C4×C22⋊D79C2316yes—
291C4×C22⋊D79C2316yes—
292C4×C22⋊D79C2312yes—
293C4×C22⋊D79C2316yes—
294C4×C22⋊D79C2316yes—
295C4×C22⋊D79C2316yes—
296(C22⋊D79)⋊C4C2316yes—
297(C22⋊D79)⋊C4C2316yes—
298(C22⋊D79)⋊C4C2316yes—
299(C22⋊D79)⋊C4C2316yes—
300(C22⋊D79)⋊C4C2312yes—
301(C22⋊D79)⋊C4C2316yes—
302(C22⋊D79)⋊C4C2316yes—
303(C22⋊D79)⋊C4C2316yes—
304#14579120C2313yes—
305#14579120C2316yes—
306#14579120C2313yes—
307#14579120C2316yes—
308#14579119C2316yes—
309#14579119C2313yes—
310#14579119C2316yes—
311#14579119C2313yes—
312#14579119C2313yes—
313#14579119C2313yes—
314#14579119C2316yes—
315#14579119C2316yes—
316#14579118C2316yes—
317#14579118C2316yes—
318#14579118C2316yes—
319#14579118C2316yes—
320#14579118C23112yes—
321#14579117C2316yes—
322#14579117C2316yes—
323#14579117C2316yes—
324#14579117C2316yes—
325#14579117C23112yes—
326C2×C4⋊Dic79C2316yes—
327C2×Dic79⋊C4C23112yes—
328C4⋊C4×D79C23112yes—
329C4⋊C4×D79C2316yes—
330C4⋊C4×D79C2316yes—
331C4⋊C4×D79C2313yes—
332C4⋊C4×D79C2316yes—
333C4⋊C4×D79C23112yes—
334C4⋊C4×D79C2311yescharacteristic
335C4⋊C4×D79C2316yes—
336C4⋊C4×D79C2313yes—
337C4⋊C4×D79C2313yes—
338C4⋊C4×D79C2316yes—
339C4⋊C4×D79C2316yes—
340C4⋊C4×D79C2316yes—
341C22⋊C4×D79C2312yes—
342C22⋊C4×D79C2316yes—
343C22⋊C4×D79C2316yes—
344C22⋊C4×D79C2316yes—
345C22⋊C4×D79C23112yes—
346C2×C4×Dic79C2316yes—
347C2×C4×Dic79C2316yes—
348C2×C4×Dic79C2316yes—
349C2×C4×Dic79C2313yes—
350C2×C4×Dic79C2313yes—
351C2×C4×Dic79C2313yes—
352C42×D79C2313yes—
353C42×D79C2311yescharacteristic
354C42×D79C2313yes—
355C42×D79C2316yes—
356C42×D79C2316yes—
357C42×D79C2313yes—
358C42×D79C2316yes—
359C42×D79C2316yes—
360C42×D79C2316yes—
361C42×D79C2316yes—
362C42×D79C2316yes—
363C42×D79C2313yes—
364C42×D79C2313yes—
365C42×D79C2313yes—
366C42×D79C2313yes—
367C2×#41×C79C2313yes—
368C2×#41×C79C2311yescharacteristic
369C22×Q8×C79C2312yes—
370C4⋊Q8×C79C2313yes—
371C4⋊Q8×C79C2313yes—
372#126×C79C23112yes—
373#125×C79C2316yes—
374#125×C79C2316yes—
375#124×C79C2316yes—
376#123×C79C23112yes—
377C22⋊Q8×C79C2316yes—
378C22⋊Q8×C79C2316yes—
379C22⋊Q8×C79C2316yes—
380#121×C79C2316yes—
381C4×Q8×C79C2312yes—
382C4×Q8×C79C2311yescharacteristic
383C4×Q8×C79C2311yescharacteristic
384C4×Q8×C79C2316yes—
385C4×Q8×C79C2316yes—
386C4×Q8×C79C2313yes—
387C4×Q8×C79C2313yes—
388C4×D4×C79C2313yes—
389C4×D4×C79C2313yes—
390C4×D4×C79C2316yes—
391C4×D4×C79C2311yescharacteristic
392C4×D4×C79C2316yes—
393C4×D4×C79C2313yes—
394#117×C79C2316yes—
395#117×C79C2313yes—
396#117×C79C2313yes—
397#117×C79C2316yes—
398C2×C4⋊C4×C79C2316yes—
399C2×C42×C79C2316yes—
400C2×C42×C79C2313yes—
401C23×D79C2413yes—
402C23×D79C2412yes—
403#11929625—212no—
404#11929625—24no—
405#11929624—212no—
406#11929624—212no—
407#11929624—224no—
408#11929623—212no—
409#11929623—212no—
410#11929623—224no—
411C2×Dic158—224no—
412C2×Dic158C24112yes—
413C2×Dic158C2416yes—
414C2×Dic158C2416yes—
415C2×Dic158C2413yes—
416C2×Dic158C2413yes—
417Q8×D79—224no—
418Q8×D79—212no—
419Q8×D79—224no—
420Q8×D79—28no—
421Q8×D79#4118yescomplemented
422C2×D316C2416yes—
423C2×D316C2413yes—
424C2×D316C2411yescharacteristic
425C2×C22⋊D79C2416yes—
426C2×C22⋊D79C2416yes—
427C2×C22⋊D79C2416yes—
428C2×C22⋊D79C2412yes—
429D4×D79—212no—
430D4×D79—224no—
431D4×D79#4118yescomplemented
432C22×Dic79C2416yes—
433C22×Dic79C2416yes—
434C22×Dic79C2413yes—
435C22×Dic79C2413yes—
436C22×Dic79C2412yes—
437C22×Dic79C2413yes—
438C2×C4×D79—224no—
439C2×C4×D79—212no—
440C2×C4×D79—212no—
441C2×C4×D79—28no—
442C2×C4×D79—212no—
443C2×C4×D79—224no—
444C2×C4×D79C2416yes—
445C2×C4×D79C2416yes—
446C2×C4×D79C2416yes—
447C2×C4×D79C2416yes—
448C2×C4×D79C2416yes—
449C2×C4×D79C2413yes—
450C2×C4×D79C2413yes—
451C2×C4×D79C2416yes—
452C2×C4×D79C2413yes—
453C2×C4×D79C2413yes—
454C2×C4×D79C2412yes—
455C2×C4×D79C2412yes—
456C2×C4×D79C2412yes—
457C2×C4×D79C2411yescharacteristic
458C2×C4×D79C2413yes—
459C2×C4×D79C2413yes—
460C2×C4×D79C2413yes—
461C2×C4×D79C2413yes—
462C2×C4×D79C2413yes—
463C2×C4×D79C2411yescharacteristic
464C2×C4×D79C2411yescharacteristic
465C4⋊Dic79C2413yes—
466C4⋊Dic79C2416yes—
467C4⋊Dic79C24112yes—
468C4⋊Dic79C2411yescharacteristic
469C4⋊Dic79C2413yes—
470C4⋊Dic79C2413yes—
471C4⋊Dic79C2416yes—
472C4⋊Dic79C2416yes—
473C4⋊Dic79C2416yes—
474C4⋊Dic79C2416yes—
475Dic79⋊C4C2416yes—
476Dic79⋊C4C24112yes—
477Dic79⋊C4C24112yes—
478Dic79⋊C4C24112yes—
479Dic79⋊C4C2412yes—
480Dic79⋊C4C2416yes—
481Dic79⋊C4C2416yes—
482Dic79⋊C4C2416yes—
483Dic79⋊C4C2416yes—
484Dic79⋊C4C2416yes—
485Dic79⋊C4C2416yes—
486Dic79⋊C4C24112yes—
487Dic79⋊C4C24112yes—
488C22⋊Dic79C2412yes—
489C22⋊Dic79C2416yes—
490C22⋊Dic79C2416yes—
491C22⋊Dic79C2416yes—
492C22⋊Dic79C24112yes—
493(C2×D79)⋊C4C2412yes—
494(C2×D79)⋊C4C2412yes—
495(C2×D79)⋊C4C2416yes—
496(C2×D79)⋊C4C2416yes—
497(C2×D79)⋊C4C2416yes—
498(C2×D79)⋊C4C2416yes—
499(C2×D79)⋊C4C2416yes—
500(C2×D79)⋊C4C2416yes—
501(C2×D79)⋊C4C24112yes—
502(C2×D79)⋊C4C24112yes—
503C4×Dic79C2413yes—
504C4×Dic79C2411yescharacteristic
505C4×Dic79C2413yes—
506C4×Dic79C2411yescharacteristic
507C4×Dic79C2413yes—
508C4×Dic79C2411yescharacteristic
509C4×Dic79C2413yes—
510C4×Dic79C2413yes—
511C4×Dic79C2413yes—
512C4×Dic79C2416yes—
513C4×Dic79C2416yes—
514C4×Dic79C2416yes—
515C4×Dic79C2416yes—
516C4×Dic79C2416yes—
517C4×Dic79C2416yes—
518C4×Dic79C2413yes—
519C4×Dic79C2416yes—
520C4×Dic79C2413yes—
521C4×Dic79C2413yes—
522C4×Dic79C2416yes—
523C4×Dic79C2416yes—
524#41×C79—24no—
525#41×C79—212no—
526C2×Q8×C79—28no—
527C2×Q8×C79C2416yes—
528C2×Q8×C79C2413yes—
529C2×Q8×C79C2411yescharacteristic
530C2×D4×C79C2416yes—
531C2×D4×C79C2413yes—
532C2×D4×C79C2411yescharacteristic
533C22×C4×C79C2416yes—
534C22×C4×C79C2416yes—
535C22×C4×C79C2413yes—
536C22×C4×C79C2413yes—
537C22×C4×C79C2412yes—
538C22×C4×C79C2413yes—
539C4⋊C4×C79C2413yes—
540C4⋊C4×C79C2416yes—
541C4⋊C4×C79C24112yes—
542C4⋊C4×C79C2411yescharacteristic
543C4⋊C4×C79C2416yes—
544C4⋊C4×C79C2413yes—
545C4⋊C4×C79C2413yes—
546C4⋊C4×C79C2416yes—
547C4⋊C4×C79C2416yes—
548C4⋊C4×C79C2416yes—
549C22⋊C4×C79C2412yes—
550C22⋊C4×C79C2416yes—
551C22⋊C4×C79C2416yes—
552C22⋊C4×C79C2416yes—
553C22⋊C4×C79C24112yes—
554C42×C79C2413yes—
555C42×C79C2411yescharacteristic
556C42×C79C2413yes—
557C42×C79C2416yes—
558C42×C79C2416yes—
559C42×C79C2413yes—
560C42×C79C2416yes—
561C23×C79C2513yes—
562C23×C79C2512yes—
563C22×D79—24no—
564C22×D79—24no—
565C22×D79—26no—
566C22×D79—26no—
567C22×D79—26no—
568C22×D79C2×#4118yes—
569C22×D79C2513yes—
570C22×D79C2512yes—
571C22×D79C2511yescharacteristic
572Q8×C79—212no—
573Q8×C79—26no—
574Q8×C79C2×#4114yescomplemented
575D4×C79—212no—
576D4×C79—26no—
577D4×C79C2×#4114yescomplemented
578C2×C4×C79—212no—
579C2×C4×C79—212no—
580C2×C4×C79—26no—
581C2×C4×C79—26no—
582C2×C4×C79—24no—
583C2×C4×C79—26no—
584C2×C4×C79C2512yes—
585C2×C4×C79C2511yescharacteristic
586C2×C4×C79C2513yes—
587C2×C4×C79C2513yes—
588C2×C4×C79C2516yes—
589C2×C4×C79C2516yes—
590C2×C4×C79C2513yes—
591C2×C4×C79C2511yescharacteristic
592C2×C4×C79C2511yescharacteristic
593C22⋊D79—212no—
594C22⋊D79—212no—
595C22⋊D79—212no—
596C22⋊D79C2×#4118yescomplemented
597C2×Dic79—212no—
598C2×Dic79—212no—
599C2×Dic79—26no—
600C2×Dic79—26no—
601C2×Dic79—24no—
602C2×Dic79—26no—
603C2×Dic79C2512yes—
604C2×Dic79C2511yescharacteristic
605C2×Dic79C2513yes—
606C2×Dic79C2513yes—
607C2×Dic79C2516yes—
608C2×Dic79C2516yes—
609C2×Dic79C2513yes—
610C2×Dic79C2511yescharacteristic
611C2×Dic79C2511yescharacteristic
612D316—212no—
613D316—26no—
614D316C2×#4114yescomplemented
615C4×D79—22no—
616C4×D79—26no—
617C4×D79—212no—
618C4×D79—212no—
619C4×D79—212no—
620C4×D79—212no—
621C4×D79—24no—
622C4×D79—26no—
623C4×D79—212no—
624C4×D79—26no—
625C4×D79—26no—
626C4×D79—24no—
627C4×D79—26no—
628C4×D79—212no—
629C4×D79—26no—
630C4×D79—26no—
631C4×D79—24no—
632C4×D79—26no—
633C4×D79C2×#41112yes—
634C4×D79C2×#4114yes—
635C4×D792−1+414yes—
636Dic158—212no—
637Dic158—26no—
638Dic158—224no—
639Dic158—212no—
640Dic158C2×#41112yescomplemented
641C22×C79—22no—
642C22×C79—22no—
643C22×C79—23no—
644C22×C79—23no—
645C22×C79—23no—
646C22×C79C22×#4114yes—
647C22×C79C2611yescharacteristic
648C2×D79—22no—
649C2×D79—22no—
650C2×D79—216no—
651C2×D79—23no—
652C2×D79—23no—
653C2×D79—23no—
654C2×D79—412no—
655C2×D79C22×#4114yes—
656C2×D79C22×#4112yes—
657C2×D79C22×#4112yes—
658C2×D79C2×2−1+412yes—
659C4×C79—23no—
660C4×C79—21no—
661C4×C79—26no—
662C4×C79—26no—
663C4×C79—22no—
664C4×C79—23no—
665C4×C79C22×#4116yes—
666C4×C79C22×#4112yes—
667C4×C79C2×2−1+412yes—
668Dic79—26no—
669Dic79—26no—
670Dic79—23no—
671Dic79—21no—
672Dic79—22no—
673Dic79—23no—
674Dic79C22×#4116yes—
675Dic79C22×#4112yes—
676Dic79C2×2−1+412yes—
677C2×#3482—791nomaximal, Sylow
678C2×C79—24no—
679C2×C79—43no—
680C2×C79C23×#4111yescharacteristic
681C2×C79C23×#4111yescharacteristic
682C2×C79C22×2−1+411yescharacteristic
683D79—24no—
684D79—43no—
685D79#348214yesdirect product factor
686#3482—791no—
687#3482—793no—
688#3482—796no—
689#3482—791no—
690#3482—792no—
691#3482—793no—
692#3482—793no—
693#3482—796no—
694#3482—793no—
695#3482—791no—
696#3482—792no—
697#3482D7911yescharacteristic, direct product factor
698C2×#557—791no—
699C2×#556—793no—
700C2×#552—796no—
701C2×D4×Q8—791no—
702C2×#548—792no—
703C2×#547—793no—
704C2×#533—793no—
705C2×#529—796no—
706C2×C4×#41—791no—
707C2×C4×#41—793no—
708C22×C4×Q8—792no—
709C79C2×#348211yescharacteristic, complemented, Sylow
710C22×#41—793no—
711C22×#41—791no—
712C23×Q8—792no—
713#557—793no—
714#557—796no—
715#557—792no—
716#557—793no—
717#557—791no—
718#557C2×D7911yescharacteristic, complemented
719#556—793no—
720#556—7912no—
721#556—796no—
722#556—796no—
723#556—796no—
724#556—793no—
725#556—793no—
726#556—796no—
727#556C2×D7913yescomplemented
728#552—7912no—
729#552—7912no—
730#552—796no—
731#552—7912no—
732#552—796no—
733#552—796no—
734#552—796no—
735#552—796no—
736#552—7912no—
737#552—796no—
738#552—796no—
739#552C2×D7916yescomplemented
740D4×Q8—792no—
741D4×Q8—793no—
742D4×Q8—796no—
743D4×Q8—791no—
744D4×Q8—793no—
745D4×Q8C2×D7911yescharacteristic, complemented
746#548—792no—
747#548—792no—
748#548—796no—
749#548—796no—
750#548—796no—
751#548—792no—
752#548—796no—
753#548C2×D7912yescomplemented
754#547—796no—
755#547—793no—
756#547—7912no—
757#547—796no—
758#547—796no—
759#547—793no—
760#547—793no—
761#547—796no—
762#547C2×D7913yescomplemented
763#533—793no—
764#533—793no—
765#533—796no—
766#533—796no—
767#533—796no—
768#533—796no—
769#533—796no—
770#533—796no—
771#533—793no—
772#533C2×D7913yescomplemented
773C2×C4⋊Q8—793no—
774C2×C4⋊Q8—793no—
775#529—7912no—
776#529—796no—
777#529—796no—
778#529—7912no—
779#529—796no—
780#529—796no—
781#529—796no—
782#529—7912no—
783#529—796no—
784#529—7912no—
785#529—796no—
786#529C2×D7916yescomplemented
787C2×#126—7912no—
788C2×#125—796no—
789C2×#125—796no—
790C2×#124—796no—
791C2×#123—7912no—
792C2×C22⋊Q8—796no—
793C2×C22⋊Q8—796no—
794C2×C22⋊Q8—796no—
795C2×#121—796no—
796C4×#41—793no—
797C4×#41—791no—
798C4×#41—793no—
799C4×#41—793no—
800C4×#41—791no—
801C4×#41—791no—
802C4×#41—793no—
803C4×#41—793no—
804C4×#41—796no—
805C4×#41—796no—
806C4×#41—793no—
807C4×#41—793no—
808C4×#41—796no—
809C4×#41—793no—
810C4×#41—793no—
811C4×#41—793no—
812C4×#41—796no—
813C4×#41—793no—
814C4×#41C2×D7913yescomplemented
815C4×#41C2×D7911yescharacteristic, complemented
816C2×C4×Q8—792no—
817C2×C4×Q8—791no—
818C2×C4×Q8—796no—
819C2×C4×Q8—792no—
820C2×C4×Q8—796no—
821C2×C4×Q8—792no—
822C2×C4×Q8—796no—
823C2×C4×Q8—792no—
824C2×C4×Q8—796no—
825C2×C4×Q8—793no—
826C2×C4×Q8—791no—
827C2×C4×Q8—793no—
828C2×C4×Q8—796no—
829C2×C4×Q8—796no—
830C2×C4×Q8C2×D7912yescomplemented
831C2×C4×D4—791no—
832C2×C4×D4—796no—
833C2×C4×D4—793no—
834C2×C4×D4—793no—
835C2×C4×D4—793no—
836C2×C4×D4—796no—
837C2×#117—793no—
838C2×#117—796no—
839C2×#117—793no—
840C2×#117—796no—
841C22×C4⋊C4—796no—
842C22×C42—796no—
843C22×C42—793no—
844C2×#41—793no—
845C2×#41—791no—
846C2×#41—793no—
847C2×#41—796no—
848C2×#41—793no—
849C2×#41—793no—
850C2×#41—796no—
851C2×#41—793no—
852C2×#41—15824no—
853C2×#41—1588no—
854C2×#41C22×D7913yes—
855C2×#41C22×D7911yescharacteristic
856C22×Q8—791no—
857C22×Q8—796no—
858C22×Q8—793no—
859C22×Q8—796no—
860C22×Q8—792no—
861C22×Q8—796no—
862C22×Q8—15816no—
863C22×Q8C22×D7912yes—
864C22×D4—791no—
865C22×D4—796no—
866C22×D4—793no—
867C23×C4—796no—
868C23×C4—796no—
869C23×C4—793no—
870C23×C4—793no—
871C23×C4—793no—
872C23×C4—792no—
873C4⋊Q8—796no—
874C4⋊Q8—796no—
875C4⋊Q8—796no—
876C4⋊Q8—796no—
877C4⋊Q8—796no—
878C4⋊Q8—796no—
879C4⋊Q8—793no—
880C4⋊Q8—793no—
881C4⋊Q8C22×D7913yes—
882C4⋊Q8C22×D7913yes—
883#126—7912no—
884#126—7912no—
885#126—7912no—
886#126—7912no—
887#126—7912no—
888#126—7912no—
889#126—7912no—
890#126C22×D79112yes—
891#125—7912no—
892#125—7912no—
893#125—796no—
894#125—796no—
895#125—7912no—
896#125—7912no—
897#125—796no—
898#125—796no—
899#125—796no—
900#125—796no—
901#125C22×D7916yes—
902#125C22×D7916yes—
903#124—796no—
904#124—796no—
905#124—7912no—
906#124—7912no—
907#124—796no—
908#124C22×D7916yes—
909#123—7912no—
910#123—7912no—
911#123—7912no—
912#123—7912no—
913#123—7912no—
914#123—7912no—
915#123—7912no—
916#123C22×D79112yes—
917C22⋊Q8—796no—
918C22⋊Q8—796no—
919C22⋊Q8—796no—
920C22⋊Q8—796no—
921C22⋊Q8—796no—
922C22⋊Q8—796no—
923C22⋊Q8—7912no—
924C22⋊Q8—796no—
925C22⋊Q8—7912no—
926C22⋊Q8—796no—
927C22⋊Q8—7912no—
928C22⋊Q8—796no—
929C22⋊Q8—7912no—
930C22⋊Q8—7912no—
931C22⋊Q8—7912no—
932C22⋊Q8C22×D7916yes—
933C22⋊Q8C22×D7916yes—
934C22⋊Q8C22×D7916yes—
935#121—796no—
936#121—7912no—
937#121—796no—
938#121—796no—
939#121—7912no—
940#121C22×D7916yes—
941C4×Q8—791no—
942C4×Q8—796no—
943C4×Q8—792no—
944C4×Q8—796no—
945C4×Q8—793no—
946C4×Q8—791no—
947C4×Q8—793no—
948C4×Q8—793no—
949C4×Q8—7912no—
950C4×Q8—796no—
951C4×Q8—796no—
952C4×Q8—7912no—
953C4×Q8—796no—
954C4×Q8—793no—
955C4×Q8—796no—
956C4×Q8—793no—
957C4×Q8—796no—
958C4×Q8—793no—
959C4×Q8—793no—
960C4×Q8—7912no—
961C4×Q8—796no—
962C4×Q8—796no—
963C4×Q8—796no—
964C4×Q8—7912no—
965C4×Q8—796no—
966C4×Q8—793no—
967C4×Q8—793no—
968C4×Q8—796no—
969C4×Q8—793no—
970C4×Q8C22×D7911yescharacteristic
971C4×Q8C22×D7916yes—
972C4×Q8C22×D7912yes—
973C4×Q8C22×D7916yes—
974C4×Q8C22×D7913yes—
975C4×Q8C22×D7911yescharacteristic
976C4×Q8C22×D7913yes—
977C4×D4—791no—
978C4×D4—793no—
979C4×D4—796no—
980C4×D4—793no—
981C4×D4—793no—
982C4×D4—796no—
983C4×D4—792no—
984C4×D4—796no—
985C4×D4—796no—
986C4×D4—796no—
987C4×D4—796no—
988C4×D4—796no—
989C4×D4—796no—
990C4×D4—796no—
991C4×D4—791no—
992C4×D4—793no—
993C4×D4—796no—
994C4×D4—793no—
995C4×D4—793no—
996C4×D4—796no—
997C4×D4—792no—
998C4×D4—796no—
999C4×D4—796no—
1000C4×D4—796no—
1001C4×D4—796no—
1002C4×D4—796no—
1003C4×D4—796no—
1004C4×D4—796no—
1005C4×D4—791no—
1006C4×D4—793no—
1007C4×D4—796no—
1008C4×D4—793no—
1009C4×D4—793no—
1010C4×D4—796no—
1011C4×D4C22×D7911yescharacteristic
1012C4×D4C22×D7913yes—
1013C4×D4C22×D7916yes—
1014C4×D4C22×D7913yes—
1015C4×D4C22×D7913yes—
1016C4×D4C22×D7916yes—
1017#117—793no—
1018#117—796no—
1019#117—793no—
1020#117—796no—
1021#117—793no—
1022#117—793no—
1023#117—796no—
1024#117—796no—
1025#117—793no—
1026#117—793no—
1027#117—796no—
1028#117—796no—
1029#117—796no—
1030#117—796no—
1031#117—796no—
1032#117—796no—
1033#117—7912no—
1034#117—796no—
1035#117—796no—
1036#117—796no—
1037#117—796no—
1038#117—7912no—
1039#117C22×D7913yes—
1040#117C22×D7916yes—
1041#117C22×D7913yes—
1042#117C22×D7916yes—
1043C2×C4⋊C4—7912no—
1044C2×C4⋊C4—796no—
1045C2×C4⋊C4—793no—
1046C2×C4⋊C4—796no—
1047C2×C4⋊C4—7912no—
1048C2×C4⋊C4—7912no—
1049C2×C4⋊C4—796no—
1050C2×C4⋊C4—796no—
1051C2×C4⋊C4—791no—
1052C2×C4⋊C4—793no—
1053C2×C4⋊C4—796no—
1054C2×C4⋊C4—793no—
1055C2×C4⋊C4—796no—
1056C2×C4⋊C4—796no—
1057C2×C4⋊C4—796no—
1058C2×C4⋊C4C22×D7916yes—
1059C2×C22⋊C4—792no—
1060C2×C22⋊C4—796no—
1061C2×C22⋊C4—796no—
1062C2×C22⋊C4—796no—
1063C2×C22⋊C4—7912no—
1064C2×C42—796no—
1065C2×C42—796no—
1066C2×C42—796no—
1067C2×C42—793no—
1068C2×C42—793no—
1069C2×C42—793no—
1070C2×C42—793no—
1071C2×C42—796no—
1072C2×C42—796no—
1073C2×C42—793no—
1074C2×C42—796no—
1075C2×C42—791no—
1076C2×C42—793no—
1077C2×C42—796no—
1078C2×C42—796no—
1079C2×C42—796no—
1080C2×C42—796no—
1081C2×C42—793no—
1082C2×C42—793no—
1083C2×C42—793no—
1084C2×C42—793no—
1085C2×C42C22×D7916yes—
1086C2×C42C22×D7913yes—
1087C24—792no—
1088C24—793no—
1089#41—24no—
1090#41—212no—
1091#41—15824no—
1092#41—15812no—
1093#41—15812no—
1094#41—15824no—
1095#41—15812no—
1096#41—15812no—
1097#41—1584no—
1098#41—15812no—
1099C2×Q8—28no—
1100C2×Q8—798no—
1101C2×Q8—793no—
1102C2×Q8—7912no—
1103C2×Q8—796no—
1104C2×Q8—796no—
1105C2×Q8—793no—
1106C2×Q8—15824no—
1107C2×Q8—15824no—
1108C2×Q8—15812no—
1109C2×Q8—15824no—
1110C2×Q8—1588no—
1111C2×Q8C23×D7916yes—
1112C2×Q8C23×D7913yes—
1113C2×Q8C23×D7911yescharacteristic
1114C2×D4—792no—
1115C2×D4—798no—
1116C2×D4—796no—
1117C2×D4—796no—
1118C2×D4—796no—
1119C2×D4—791no—
1120C2×D4—796no—
1121C2×D4—793no—
1122C2×D4—15812no—
1123C2×D4—15824no—
1124C2×D4C23×D7916yes—
1125C2×D4C23×D7913yes—
1126C2×D4C23×D7911yescharacteristic
1127C22×C4—791no—
1128C22×C4—793no—
1129C22×C4—791no—
1130C22×C4—792no—
1131C22×C4—796no—
1132C22×C4—796no—
1133C22×C4—793no—
1134C22×C4—793no—
1135C22×C4—793no—
1136C22×C4—792no—
1137C22×C4—792no—
1138C22×C4—791no—
1139C22×C4—793no—
1140C22×C4—793no—
1141C22×C4—796no—
1142C22×C4—796no—
1143C22×C4—796no—
1144C22×C4—796no—
1145C22×C4—796no—
1146C22×C4—796no—
1147C22×C4—793no—
1148C22×C4—793no—
1149C22×C4—793no—
1150C22×C4—793no—
1151C22×C4—793no—
1152C22×C4—792no—
1153C22×C4—793no—
1154C22×C4—15812no—
1155C22×C4—1588no—
1156C22×C4—15824no—
1157C22×C4—15812no—
1158C22×C4—15812no—
1159C22×C4—15824no—
1160C22×C4C23×D7916yes—
1161C22×C4C23×D7916yes—
1162C22×C4C23×D7913yes—
1163C22×C4C23×D7913yes—
1164C22×C4C23×D7912yes—
1165C22×C4C23×D7913yes—
1166C4⋊C4—796no—
1167C4⋊C4—7912no—
1168C4⋊C4—7912no—
1169C4⋊C4—7912no—
1170C4⋊C4—792no—
1171C4⋊C4—796no—
1172C4⋊C4—796no—
1173C4⋊C4—796no—
1174C4⋊C4—796no—
1175C4⋊C4—796no—
1176C4⋊C4—796no—
1177C4⋊C4—7912no—
1178C4⋊C4—7912no—
1179C4⋊C4—793no—
1180C4⋊C4—796no—
1181C4⋊C4—7912no—
1182C4⋊C4—791no—
1183C4⋊C4—796no—
1184C4⋊C4—793no—
1185C4⋊C4—793no—
1186C4⋊C4—796no—
1187C4⋊C4—796no—
1188C4⋊C4—796no—
1189C4⋊C4C23×D7913yes—
1190C4⋊C4C23×D7916yes—
1191C4⋊C4C23×D79112yes—
1192C4⋊C4C23×D7911yescharacteristic
1193C4⋊C4C23×D7916yes—
1194C4⋊C4C23×D7913yes—
1195C4⋊C4C23×D7913yes—
1196C4⋊C4C23×D7916yes—
1197C4⋊C4C23×D7916yes—
1198C4⋊C4C23×D7916yes—
1199C22⋊C4—792no—
1200C22⋊C4—796no—
1201C22⋊C4—796no—
1202C22⋊C4—796no—
1203C22⋊C4—7912no—
1204C22⋊C4—792no—
1205C22⋊C4—792no—
1206C22⋊C4—796no—
1207C22⋊C4—796no—
1208C22⋊C4—796no—
1209C22⋊C4—796no—
1210C22⋊C4—796no—
1211C22⋊C4—796no—
1212C22⋊C4—7912no—
1213C22⋊C4—7912no—
1214C22⋊C4C23×D7912yes—
1215C22⋊C4C23×D7916yes—
1216C22⋊C4C23×D7916yes—
1217C22⋊C4C23×D7916yes—
1218C22⋊C4C23×D79112yes—
1219C42—793no—
1220C42—791no—
1221C42—793no—
1222C42—791no—
1223C42—793no—
1224C42—793no—
1225C42—793no—
1226C42—796no—
1227C42—796no—
1228C42—796no—
1229C42—796no—
1230C42—796no—
1231C42—793no—
1232C42—793no—
1233C42—793no—
1234C42—796no—
1235C42—796no—
1236C42—796no—
1237C42—793no—
1238C42—791no—
1239C42—796no—
1240C42C23×D7913yes—
1241C42C23×D7916yes—
1242C42C23×D7913yes—
1243C42C23×D7916yes—
1244C42C23×D7913yes—
1245C42C23×D7911yescharacteristic
1246C42C23×D7916yes—
1247C23—791no—
1248C23—792no—
1249C23—798no—
1250C23—793no—
1251C23—1586no—
1252C23—1586no—
1253C23—1586no—
1254C23—1584no—
1255C23—1584no—
1256C23C24×D7913yes—
1257C23C24×D7912yes—
1258Q8—212no—
1259Q8—26no—
1260Q8—7912no—
1261Q8—15824no—
1262Q8—15812no—
1263Q8—15812no—
1264Q8—1586no—
1265Q8#41×D7914yescomplemented
1266D4—212no—
1267D4—26no—
1268D4—798no—
1269D4—794no—
1270D4—15812no—
1271D4—15812no—
1272D4—15812no—
1273D4—15812no—
1274D4—1586no—
1275D4#41×D7914yescomplemented
1276C2×C4—212no—
1277C2×C4—24no—
1278C2×C4—26no—
1279C2×C4—212no—
1280C2×C4—26no—
1281C2×C4—26no—
1282C2×C4—791no—
1283C2×C4—791no—
1284C2×C4—793no—
1285C2×C4—794no—
1286C2×C4—794no—
1287C2×C4—7912no—
1288C2×C4—792no—
1289C2×C4—791no—
1290C2×C4—793no—
1291C2×C4—793no—
1292C2×C4—796no—
1293C2×C4—796no—
1294C2×C4—15812no—
1295C2×C4—1586no—
1296C2×C4—1586no—
1297C2×C4—1586no—
1298C2×C4—1584no—
1299C2×C4—1582no—
1300C2×C4—1586no—
1301C2×C4—15812no—
1302C2×C4—15812no—
1303C2×C4—15812no—
1304C2×C4—15812no—
1305C2×C4—1584no—
1306C2×C4—1586no—
1307C2×C4—15812no—
1308C2×C4—1586no—
1309C2×C4—1586no—
1310C2×C4—1584no—
1311C2×C4—1586no—
1312C2×C4—15812no—
1313C2×C4—1586no—
1314C2×C4—1584no—
1315C2×C4—15812no—
1316C2×C4—1586no—
1317C2×C4—1586no—
1318C2×C4C24×D7912yes—
1319C2×C4C24×D7911yescharacteristic
1320C2×C4C24×D7913yes—
1321C2×C4C24×D7913yes—
1322C2×C4C24×D7916yes—
1323C2×C4C24×D7916yes—
1324C2×C4C24×D7913yes—
1325C2×C4C24×D7911yescharacteristic
1326C2×C4C24×D7911yescharacteristic
1327C22—22no—
1328C22—22no—
1329C22—23no—
1330C22—23no—
1331C22—23no—
1332C22—31612no—
1333C22—792no—
1334C22—792no—
1335C22—792no—
1336C22—794no—
1337C22—15816no—
1338C22—1583no—
1339C22—1583no—
1340C22—1583no—
1341C22—1582no—
1342C22—1582no—
1343C22C2×#41×D7914yes—
1344C22C25×D7911yescharacteristic
1345C4—23no—
1346C4—21no—
1347C4—26no—
1348C4—26no—
1349C4—22no—
1350C4—23no—
1351C4—792no—
1352C4—796no—
1353C4—792no—
1354C4—1583no—
1355C4—1581no—
1356C4—1586no—
1357C4—1586no—
1358C4—1582no—
1359C4—1583no—
1360C4C2×#41×D7916yes—
1361C4C2×#41×D7912yes—
1362C42−1+4×D7912yes—
1363C2—24no—
1364C2—43no—
1365C2—3163no—
1366C2—794no—
1367C2—1584no—
1368C2C22×#41×D7911yescharacteristic
1369C2C22×#41×D7911yescharacteristic
1370C2C2×2−1+4×D7911yescharacteristic
subgroupG/H
centerC2×C4C24×D79
commutator, socle, cosocleC22×C79C26
FrattiniC22C25×D79
FittingC79×#3482C2
hypercenter#3482D79
hypocenterC79C2×#3482
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C2×C4 ◁ #3482

Complements

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

NH ≅ G/Ntype
1. #23777022C2semidirect
2. #23777021C2semidirect
3. #23777020C2semidirect
4. #23777019C2semidirect
5. #23777018C2semidirect
6. #23777017C2semidirect
7. #23777016C2semidirect
8. #23777015C2semidirect
9. #23777014C2semidirect
10. #23777013C2semidirect
11. #23777012C2semidirect
12. #557×D79C2semidirect
13. #556×D79C2semidirect
14. #552×D79C2semidirect
15. D4×Q8×D79C2semidirect
16. #548×D79C2semidirect
17. #547×D79C2semidirect
18. #533×D79C2semidirect
19. #529×D79C2semidirect
20. C4×#41×D79C2semidirect
21. C4×#41×D79C2semidirect
22. C2×C4×Q8×D79C2semidirect
23. C79×#3482C2semidirect
27. #19099292C22semidirect
28. #19099291C22semidirect
29. #19099290C22semidirect
30. #19099289C22semidirect
31. #19099288C22semidirect
32. #19099287C22semidirect
33. #19099286C22semidirect
34. #19099285C22semidirect
35. #19099284C22semidirect
36. #19099283C22semidirect
37. #19099282C22semidirect
38. #19099281C22semidirect
39. #19099280C22semidirect
40. #19099255C22semidirect
41. #19099254C22semidirect
42. #19099253C22semidirect
43. #19099252C22semidirect
44. #19099251C22semidirect
45. #19099250C22semidirect
46. #19099249C22semidirect
47. #19099248C22semidirect
48. #19099247C22semidirect
49. #19099246C22semidirect
50. #19099245C22semidirect
51. Q8×D316C22semidirect
52. D4×Dic158C22semidirect
53. #19099228C22semidirect
54. Q8×C22⋊D79C22semidirect
55. #19099226C22semidirect
56. #19099225C22semidirect
57. #19099224C22semidirect
58. #19099223C22semidirect
59. #19099222C22semidirect
60. #19099221C22semidirect
61. #19099220C22semidirect
62. #19099219C22semidirect
63. #19099218C22semidirect
64. #19099217C22semidirect
65. #19099216C22semidirect
66. #19099215C22semidirect
67. #19099214C22semidirect
68. #19099213C22semidirect
69. #19099212C22semidirect
70. #19099211C22semidirect
71. #19099120C22semidirect
72. #19099119C22semidirect
73. #19099118C22semidirect
74. #19099118C22semidirect
75. #19099117C22semidirect
76. #19099117C22semidirect
77. #19099116C22semidirect
78. #19099115C22semidirect
79. #19099115C22semidirect
82. #19099100C22semidirect
83. #19099099C22semidirect
84. #19099098C22semidirect
85. #19099097C22semidirect
86. #19099096C22semidirect
87. #19099095C22semidirect
88. #19099094C22semidirect
89. #19099093C22semidirect
90. #19099092C22semidirect
91. #19099091C22semidirect
92. #19099090C22semidirect
102. #41×Dic79C22semidirect
103. #41×Dic79C22semidirect
104. C4×#11929625C22semidirect
105. C4×#11929625C22semidirect
106. C4×#11929625C22semidirect
107. C4×#11929625C22semidirect
108. C4×#11929624C22semidirect
109. C4×#11929624C22semidirect
110. C4×#11929624C22semidirect
111. #19099031C22semidirect
112. #19099031C22semidirect
113. #19099031C22semidirect
114. C4×#11929623C22semidirect
115. C4×#11929623C22semidirect
116. C4×#11929623C22semidirect
117. C4×#11929623C22semidirect
118. C4×#11929623C22semidirect
119. C4×#11929623C22semidirect
120. C2×Q8×Dic79C22semidirect
121. C2×C4×Dic158C22semidirect
122. C2×#14579126C22semidirect
130. C4×Q8×D79C22semidirect
131. C4×Q8×D79C22semidirect
132. C4×Q8×D79C22semidirect
133. C4×Q8×D79C22semidirect
147. #557×C79C22semidirect
148. #556×C79C22semidirect
149. #552×C79C22semidirect
150. D4×Q8×C79C22semidirect
151. #548×C79C22semidirect
152. #547×C79C22semidirect
153. #533×C79C22semidirect
154. #529×C79C22semidirect
155. C4×#41×C79C22semidirect
156. C4×#41×C79C22semidirect
157. C2×C4×Q8×C79C22semidirect
421. Q8×D79#41semidirect
431. D4×D79#41semidirect
574. Q8×C79C2×#41semidirect
577. D4×C79C2×#41semidirect
596. C22⋊D79C2×#41semidirect
614. D316C2×#41semidirect
640. Dic158C2×#41semidirect
685. D79#3482direct (N × H)
697. #3482D79direct (N × H)
709. C79C2×#3482semidirect
718. #557C2×D79semidirect
727. #556C2×D79semidirect
739. #552C2×D79semidirect
745. D4×Q8C2×D79semidirect
753. #548C2×D79semidirect
762. #547C2×D79semidirect
772. #533C2×D79semidirect
786. #529C2×D79semidirect
814. C4×#41C2×D79semidirect
815. C4×#41C2×D79semidirect
830. C2×C4×Q8C2×D79semidirect
1265. Q8#41×D79semidirect
1275. D4#41×D79semidirect

Maximal subgroups

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

subgroupindex
#237770222
#237770212
#237770202
#237770192
#237770182
#237770172
#237770162
#237770152
#237770142
#237770132
#237770122
#557×D792
#556×D792
#552×D792
D4×Q8×D792
#548×D792
#547×D792
#533×D792
#529×D792
C4×#41×D792
C2×C4×Q8×D792
C79×#34822
C2×#348279