Finite Group Databasebeta

← #35196882

Subgroups — #35196882

Order 20224.

7220 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777512C212yesmaximal, complemented
2#23777497C211yesmaximal, characteristic, complemented
3#23777486C211yesmaximal, characteristic, complemented
4#23777471C216yesmaximal, complemented
5#23777450C213yesmaximal, complemented
6#23777433C213yesmaximal, complemented
7#23777418C211yesmaximal, characteristic, complemented
8#23777407C211yesmaximal, characteristic, complemented
9#23777396C212yesmaximal, complemented
10#23777379C213yesmaximal, complemented
11#23777362C213yesmaximal, complemented
12#23777343C216yesmaximal, complemented
13#23776995C213yesmaximal, complemented
14#23776967C216yesmaximal, complemented
15#23776967C213yesmaximal, complemented
16#41×D316C212yesmaximal, complemented
17#41×D316C211yesmaximal, characteristic, complemented
18#23776792C216yesmaximal, complemented
19#23776697C213yesmaximal, complemented
20C2×#19099100C213yesmaximal, complemented
21#23776599C212yesmaximal, complemented
22C4×#41×D79C211yesmaximal, characteristic, complemented
23Q8×#41×C79C211yesmaximal, characteristic, complemented
24C2×#41×D79C2211yescharacteristic
25C2×#41×D79C2212yes—
26#19099298C2216yescomplemented
27#19099298C2213yescomplemented
28#19099292C2213yescomplemented
29#19099287C2213yescomplemented
30#19099287C2216yescomplemented
31#19099286C2216yescomplemented
32#19099286C2213yescomplemented
33#19099279C2216yescomplemented
34#19099279C2213yescomplemented
35#19099274C2213yescomplemented
36#19099274C2216yescomplemented
37#19099266C2216yescomplemented
38#19099266C2216yescomplemented
39#19099266C2216yescomplemented
40#19099261C22112yescomplemented
41#19099261C2216yescomplemented
42#19099255C2216yescomplemented
43#19099255C22112yescomplemented
44#19099251C2216yescomplemented
45#19099251C2216yescomplemented
46#19099251C2216yescomplemented
47#19099240C22112yescomplemented
48#19099240C22112yescomplemented
49#19099240C22112yescomplemented
50#19099235C2211yescharacteristic, complemented
51#19099235C2212yescomplemented
52#19099235C2213yescomplemented
53Q8×D316C2212yescomplemented
54Q8×D316C2211yescharacteristic, complemented
55#19099225C2212yescomplemented
56#19099225C2212yescomplemented
57#19099225C2212yescomplemented
58#19099224C2216yescomplemented
59#19099217C2213yescomplemented
60#19099217C2216yescomplemented
61#19099216C2216yescomplemented
62#19099216C2213yescomplemented
63#19099208C2216yescomplemented
64#19099208C2216yescomplemented
65#19099208C2216yescomplemented
66#19099204C22112yescomplemented
67#19099204C2216yescomplemented
68D4×D316C2216yescomplemented
69D4×D316C2213yescomplemented
70#19099187C2216yescomplemented
71#19099187C2216yescomplemented
72#19099187C2216yescomplemented
73#19099187C2216yescomplemented
74#19099176C2216yescomplemented
75#19099176C2216yescomplemented
76#19099169C2216yescomplemented
77#19099169C2216yescomplemented
78#19099162C22112yescomplemented
79#19099162C22112yescomplemented
80#19099153C22112yescomplemented
81#19099153C22112yescomplemented
82#19099118C2213yescomplemented
83#19099118C2213yescomplemented
84#19099114C2213yescomplemented
85#19099114C2213yescomplemented
86#19099113C2216yescomplemented
87#19099113C2213yescomplemented
88#19099100C2213yes—
89#19099100C2211yescharacteristic
90#19099100C2216yescomplemented
91#19099100C2216yescomplemented
92#19099100C22112yescomplemented
93#19099100C22112yescomplemented
94#19099100C2216yescomplemented
95#19099100C2213yescomplemented
96#19099100C2213yescomplemented
97#19099100C2213yescomplemented
98#19099100C2213yescomplemented
99#19099100C2216yescomplemented
100#19099100C2213yescomplemented
101#19099100C2216yescomplemented
102#19099100C2213yescomplemented
103#19099099C2216yescomplemented
104#19099099C2216yescomplemented
105#19099098C2216yescomplemented
106#19099098C2216yescomplemented
107C2×#14579156C2216yescomplemented
108C2×#14579152C2213yescomplemented
109C2×#14579150C2213yescomplemented
110#19099076C2216yescomplemented
111#19099076C2216yescomplemented
112#19099075C2216yescomplemented
113#19099075C2216yescomplemented
114#19099075C2216yescomplemented
115C2×#14579146C2216yescomplemented
116C2×#14579137C2213yescomplemented
117C2×#14579136C2213yes—
118#19099045C2212yescomplemented
119#19099045C2212yescomplemented
120#19099042C2216yescomplemented
121#19099042C2216yescomplemented
122#19099039C2212yescomplemented
123#19099039C2212yescomplemented
124#19099035C2216yescomplemented
125#19099035C2216yescomplemented
126#41×Dic79C2211yescharacteristic
127C4×#11929625C2211yescharacteristic, complemented
128C4×#11929625C2211yescharacteristic, complemented
129C4×#11929625C2216yescomplemented
130C4×#11929625C2216yescomplemented
131C4×#11929624C2213yescomplemented
132C4×#11929624C2216yescomplemented
133#19099031C2213yescomplemented
134#19099031C2216yescomplemented
135C4×#11929623C2213yescomplemented
136C4×#11929623C2213yescomplemented
137C4×Q8×D79C2211yescharacteristic, complemented
138C4×Q8×D79C2211yescharacteristic, complemented
139C2×C4×D316C2213yescomplemented
140C2×C4×D316C2216yescomplemented
141C4×D4×D79C2213yescomplemented
142C4×D4×D79C2213yescomplemented
143C2×#14579118C2216yescomplemented
144#117×D79C2213yescomplemented
145#117×D79C2216yescomplemented
146C2×C42×D79C2213yescomplemented
147Q82×C79C2211yescharacteristic, complemented
148#557×C79C2212yescomplemented
149#557×C79C2211yescharacteristic, complemented
150#554×C79C2216yescomplemented
151#554×C79C2213yescomplemented
152D4×Q8×C79C2213yescomplemented
153#533×C79C2216yescomplemented
154#533×C79C2213yescomplemented
155C4×#41×C79C2211yescharacteristic
156C4×#41×C79C2212yes—
157C2×C4×Q8×C79C2213yescomplemented
158C2×#11929625C2311yescharacteristic
159C2×#11929625C2312yes—
160C2×#11929625C2316yes—
161C2×#11929625C2316yes—
162C2×#11929624C2313yes—
163C2×#11929624C2316yes—
164C2×#11929623C2313yes—
165C2×#11929623C2316yes—
166#41×D79—28no—
167#41×D79—216no—
168C2×Q8×D79C2311yescharacteristic
169C2×Q8×D79C2312yes—
170C22×D316C2316yes—
171C22×D316C2313yes—
172C2×D4×D79C2313yes—
173C2×D4×D79C2316yes—
174C22×C4×D79C2313yes—
175C22×C4×D79C2316yes—
176C22×C4×D79C2313yes—
177C22×C4×D79C2313yes—
178#14579161C2316yes—
179#14579161C2313yes—
180#14579158C2316yes—
181#14579158C2313yes—
182#14579156C2316yes—
183#14579156C23112yes—
184#14579156C23112yes—
185#14579156C23112yes—
186#14579156C2316yes—
187#14579156C23112yes—
188#14579156C23112yes—
189#14579156C2316yes—
190#14579156C2316yes—
191#14579156C2316yes—
192#14579156C2316yes—
193#14579156C2312yes—
194#14579156C2316yes—
195#14579152C2316yes—
196#14579152C2316yes—
197#14579152C23112yes—
198#14579152C23112yes—
199#14579152C2316yes—
200#14579152C2313yes—
201#14579152C2313yes—
202#14579152C2311yescharacteristic
203#14579152C2313yes—
204#14579150C2316yes—
205#14579150C2316yes—
206#14579150C23112yes—
207#14579150C23112yes—
208#14579150C2313yes—
209#14579150C2313yes—
210#14579150C2316yes—
211#14579150C2311yescharacteristic
212#14579150C2313yes—
213#14579149C2316yes—
214#14579149C2316yes—
215#14579149C2316yes—
216#14579146C2316yes—
217#14579146C23112yes—
218#14579146C23112yes—
219#14579146C23112yes—
220#14579146C2316yes—
221#14579146C23112yes—
222#14579146C23112yes—
223#14579146C2316yes—
224#14579146C2316yes—
225#14579146C2316yes—
226#14579146C2316yes—
227#14579146C2312yes—
228#14579146C2316yes—
229#14579145C23112yes—
230#14579145C23112yes—
231#14579145C23112yes—
232#14579141C2316yes—
233#14579141C2316yes—
234#14579141C2316yes—
235#14579141C2316yes—
236#14579141C2316yes—
237#14579141C2316yes—
238#14579137C2316yes—
239#14579137C2316yes—
240#14579137C23112yes—
241#14579137C23112yes—
242#14579137C2313yes—
243#14579137C2313yes—
244#14579137C2316yes—
245#14579137C2311yescharacteristic
246#14579137C2313yes—
247#14579136C2316yes—
248#14579136C2316yes—
249#14579136C23112yes—
250#14579136C23112yes—
251#14579136C2316yes—
252#14579136C2316yes—
253#14579136C2316yes—
254#14579136C2316yes—
255#14579136C2316yes—
256#14579136C2316yes—
257#14579136C2313yes—
258#14579136C2316yes—
259#14579136C2313yes—
260#14579136C2311yescharacteristic
261#14579136C2313yes—
262#14579135C23112yes—
263#14579135C23112yes—
264#14579135C2316yes—
265#14579135C2316yes—
266#14579131C23112yes—
267#14579131C23112yes—
268#14579131C23112yes—
269Q8×Dic79C2316yes—
270Q8×Dic79C2316yes—
271Q8×Dic79C2311yescharacteristic
272Q8×Dic79C2311yescharacteristic
273C4×Dic158C2313yes—
274C4×Dic158C2316yes—
275C4×Dic158C2313yes—
276C4×Dic158C2316yes—
277#14579126C2313yes—
278#14579126C2313yes—
279#14579126C2316yes—
280#14579126C2316yes—
281C4×D316C2316yes—
282C4×D316C2313yes—
283C4×D316C2316yes—
284C4×D316C2316yes—
285C4×D316C2316yes—
286C4×D316C2313yes—
287C4×D316C2313yes—
288C4×D316C2316yes—
289C4×D316C2316yes—
290C4×D316C2316yes—
291C4×D316C2313yes—
292C4×D316C2312yes—
293C4×D316C2311yescharacteristic
294C4×D316C2316yes—
295C4×D316C2313yes—
296C4×D316C2316yes—
297C4×D316C2316yes—
298C4×D316C2316yes—
299C4×D316C2316yes—
300C4×D316C23112yes—
301D4×Dic79C2313yes—
302D4×Dic79C2313yes—
303#14579123C2313yes—
304#14579123C2313yes—
305#14579123C2316yes—
306#14579123C2316yes—
307#14579123C23112yes—
308#14579123C2316yes—
309#14579123C2316yes—
310#14579123C23112yes—
311C4×C22⋊D79C2316yes—
312C4×C22⋊D79C23112yes—
313C4×C22⋊D79C23112yes—
314C4×C22⋊D79C2316yes—
315(C22⋊D79)⋊C4C2316yes—
316(C22⋊D79)⋊C4C2316yes—
317(C22⋊D79)⋊C4C23112yes—
318(C22⋊D79)⋊C4C23112yes—
319#14579120C2313yes—
320#14579119C2316yes—
321#14579119C23112yes—
322#14579119C23112yes—
323#14579119C2313yes—
324#14579119C2316yes—
325#14579119C2316yes—
326#14579119C2316yes—
327#14579119C2313yes—
328#14579118C2316yes—
329#14579118C2316yes—
330#14579118C2316yes—
331#14579118C2316yes—
332#14579118C2316yes—
333#14579118C2316yes—
334#14579118C2312yes—
335#14579118C2316yes—
336#14579118C2316yes—
337#14579117C2316yes—
338#14579117C23112yes—
339C2×C4⋊Dic79C2313yes—
340C2×C4⋊Dic79C2316yes—
341C2×Dic79⋊C4C2316yes—
342C2×Dic79⋊C4C2316yes—
343C4⋊C4×D79C2313yes—
344C4⋊C4×D79C2316yes—
345C4⋊C4×D79C2316yes—
346C4⋊C4×D79C2313yes—
347C2×(C2×D79)⋊C4C2316yes—
348C2×(C2×D79)⋊C4C2316yes—
349C2×(C2×D79)⋊C4C2316yes—
350C2×(C2×D79)⋊C4C2316yes—
351C2×(C2×D79)⋊C4C2316yes—
352C22⋊C4×D79C2316yes—
353C22⋊C4×D79C23112yes—
354C2×C4×Dic79C2313yes—
355C2×C4×Dic79C2313yes—
356C2×C4×Dic79C2313yes—
357C42×D79C2311yescharacteristic
358C42×D79C2313yes—
359C42×D79C2313yes—
360C42×D79C2313yes—
361C42×D79C2313yes—
362C42×D79C2313yes—
363C42×D79C2313yes—
364C42×D79C2313yes—
365C42×D79C23112yes—
366C2×#41×C79C2311yescharacteristic
367C22×Q8×C79C2313yes—
368C4⋊Q8×C79C2316yes—
369C4⋊Q8×C79C2316yes—
370C4⋊Q8×C79C2313yes—
371C4⋊Q8×C79C2313yes—
372#125×C79C2316yes—
373#125×C79C2316yes—
374#125×C79C2316yes—
375C22⋊Q8×C79C23112yes—
376C22⋊Q8×C79C23112yes—
377C22⋊Q8×C79C2316yes—
378C22⋊Q8×C79C2316yes—
379C4×Q8×C79C2311yescharacteristic
380C4×Q8×C79C2312yes—
381C4×Q8×C79C2312yes—
382C4×Q8×C79C2311yescharacteristic
383C4×Q8×C79C2311yescharacteristic
384C4×Q8×C79C2313yes—
385C4×Q8×C79C2313yes—
386C4×Q8×C79C2316yes—
387C4×Q8×C79C2313yes—
388C4×Q8×C79C2316yes—
389C4×Q8×C79C2316yes—
390C4×D4×C79C2313yes—
391C4×D4×C79C2316yes—
392C4×D4×C79C2316yes—
393C4×D4×C79C2313yes—
394#117×C79C2313yes—
395#117×C79C2316yes—
396C2×C4⋊C4×C79C2313yes—
397C2×C4⋊C4×C79C2316yes—
398C2×C42×C79C2313yes—
399C2×C42×C79C2316yes—
400C23×D79C2413yes—
401C23×D79C2416yes—
402#11929625—24no—
403#11929625—28no—
404#11929625—412no—
405#11929625—412no—
406#11929624—212no—
407#11929624—224no—
408#11929623—212no—
409#11929623—224no—
410C2×Dic158C2413yes—
411C2×Dic158C2416yes—
412Q8×D79—24no—
413Q8×D79—28no—
414C2×D316—46no—
415C2×D316—412no—
416C2×D316C2413yes—
417C2×D316C2416yes—
418C2×D316C2416yes—
419C2×D316C2413yes—
420C2×D316C2412yes—
421C2×D316C2411yescharacteristic
422C2×D316C2416yes—
423C2×D316C24112yes—
424C2×D316C2416yes—
425C2×D316C2416yes—
426C2×D316C2416yes—
427C2×C22⋊D79C2416yes—
428C2×C22⋊D79C24112yes—
429D4×D79—212no—
430D4×D79—224no—
431C22×Dic79C2413yes—
432C22×Dic79C2416yes—
433C22×Dic79C2413yes—
434C22×Dic79C2413yes—
435C2×C4×D79—212no—
436C2×C4×D79—224no—
437C2×C4×D79—46no—
438C2×C4×D79—46no—
439C2×C4×D79C2413yes—
440C2×C4×D79C2416yes—
441C2×C4×D79C2413yes—
442C2×C4×D79C2416yes—
443C2×C4×D79C2413yes—
444C2×C4×D79C2416yes—
445C2×C4×D79C2413yes—
446C2×C4×D79C2413yes—
447C2×C4×D79C2411yescharacteristic
448C2×C4×D79C2411yescharacteristic
449C2×C4×D79C2411yescharacteristic
450C2×C4×D79C2412yes—
451C2×C4×D79C24112yes—
452C2×C4×D79C24112yes—
453C2×C4×D79C2413yes—
454C2×C4×D79C2413yes—
455C2×C4×D79C2413yes—
456C2×C4×D79C2413yes—
457C4⋊Dic79C2413yes—
458C4⋊Dic79C2413yes—
459C4⋊Dic79C2411yescharacteristic
460C4⋊Dic79C2412yes—
461C4⋊Dic79C2413yes—
462C4⋊Dic79C2416yes—
463C4⋊Dic79C2416yes—
464C4⋊Dic79C2416yes—
465C4⋊Dic79C2416yes—
466C4⋊Dic79C2416yes—
467C4⋊Dic79C24112yes—
468Dic79⋊C4C2416yes—
469Dic79⋊C4C2416yes—
470Dic79⋊C4C2416yes—
471Dic79⋊C4C2416yes—
472Dic79⋊C4C2412yes—
473Dic79⋊C4C2412yes—
474Dic79⋊C4C2416yes—
475Dic79⋊C4C2416yes—
476Dic79⋊C4C2416yes—
477Dic79⋊C4C2416yes—
478C22⋊Dic79C2416yes—
479(C2×D79)⋊C4C2416yes—
480(C2×D79)⋊C4C2416yes—
481(C2×D79)⋊C4C2416yes—
482(C2×D79)⋊C4C2416yes—
483(C2×D79)⋊C4C2412yes—
484(C2×D79)⋊C4C2412yes—
485(C2×D79)⋊C4C2412yes—
486(C2×D79)⋊C4C2412yes—
487(C2×D79)⋊C4C2412yes—
488(C2×D79)⋊C4C2416yes—
489(C2×D79)⋊C4C2416yes—
490(C2×D79)⋊C4C2416yes—
491(C2×D79)⋊C4C2416yes—
492(C2×D79)⋊C4C2416yes—
493(C2×D79)⋊C4C2416yes—
494(C2×D79)⋊C4C2416yes—
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—
503(C2×D79)⋊C4C24112yes—
504C4×Dic79C2413yes—
505C4×Dic79C2411yescharacteristic
506C4×Dic79C2411yescharacteristic
507C4×Dic79C2411yescharacteristic
508C4×Dic79C2413yes—
509C4×Dic79C2413yes—
510C4×Dic79C2413yes—
511C4×Dic79C2413yes—
512C4×Dic79C2413yes—
513C4×Dic79C2413yes—
514C4×Dic79C2413yes—
515C4×Dic79C2413yes—
516C4×Dic79C24112yes—
517C4×Dic79C24112yes—
518#41×C79#4118yescomplemented
519C2×Q8×C79—46no—
520C2×Q8×C79C2413yes—
521C2×Q8×C79C2411yescharacteristic
522C2×Q8×C79C2416yes—
523C2×Q8×C79C2416yes—
524C2×Q8×C79C2411yescharacteristic
525C2×D4×C79C2413yes—
526C22×C4×C79C2413yes—
527C22×C4×C79C2413yes—
528C22×C4×C79C2416yes—
529C22×C4×C79C2416yes—
530C22×C4×C79C2413yes—
531C4⋊C4×C79C2411yescharacteristic
532C4⋊C4×C79C2412yes—
533C4⋊C4×C79C2416yes—
534C4⋊C4×C79C2416yes—
535C4⋊C4×C79C2416yes—
536C4⋊C4×C79C2413yes—
537C4⋊C4×C79C2416yes—
538C4⋊C4×C79C2413yes—
539C4⋊C4×C79C2416yes—
540C4⋊C4×C79C2416yes—
541C4⋊C4×C79C2413yes—
542C4⋊C4×C79C24112yes—
543C4⋊C4×C79C2416yes—
544C22⋊C4×C79C2416yes—
545C22⋊C4×C79C24112yes—
546C42×C79C2411yescharacteristic
547C42×C79C2412yes—
548C42×C79C2413yes—
549C42×C79C2416yes—
550C42×C79C2413yes—
551C42×C79C2416yes—
552C42×C79C2413yes—
553C42×C79C2416yes—
554C23×C79C2513yes—
555C22×D79—26no—
556C22×D79—212no—
557C22×D79—26no—
558C22×D79—43no—
559C22×D79—46no—
560C22×D79—46no—
561C22×D79C2512yes—
562C22×D79C2513yes—
563C22×D79C2516yes—
564C22×D79C2511yescharacteristic
565Q8×C79—26no—
566Q8×C79—22no—
567Q8×C79—46no—
568Q8×C79—46no—
569Q8×C79C2×#4114yes—
570D4×C79C2×#41112yes—
571C2×C4×C79—26no—
572C2×C4×C79—43no—
573C2×C4×C79—46no—
574C2×C4×C79—46no—
575C2×C4×C79C2×#41112yes—
576C2×C4×C79C2511yescharacteristic
577C2×C4×C79C2513yes—
578C2×C4×C79C2516yes—
579C2×C4×C79C2513yes—
580C2×C4×C79C2516yes—
581C2×C4×C79C2512yes—
582C2×C4×C79C2512yes—
583C2×C4×C79C2513yes—
584C2×C4×C79C2511yescharacteristic
585C2×C4×C79C2511yescharacteristic
586C22⋊D79—212no—
587C22⋊D79—224no—
588C2×Dic79—26no—
589C2×Dic79—212no—
590C2×Dic79—43no—
591C2×Dic79—43no—
592C2×Dic79C2511yescharacteristic
593C2×Dic79C2511yescharacteristic
594C2×Dic79C2511yescharacteristic
595C2×Dic79C2513yes—
596C2×Dic79C2513yes—
597C2×Dic79C2513yes—
598C2×Dic79C2516yes—
599C2×Dic79C2512yes—
600D316—24no—
601D316—212no—
602D316—26no—
603D316—212no—
604D316—22no—
605D316—26no—
606D316—46no—
607D316—46no—
608D316—46no—
609D316—412no—
610D316—46no—
611C4×D79—22no—
612C4×D79—26no—
613C4×D79—22no—
614C4×D79—24no—
615C4×D79—26no—
616C4×D79—212no—
617C4×D79—26no—
618C4×D79—212no—
619C4×D79—26no—
620C4×D79—212no—
621C4×D79—22no—
622C4×D79—26no—
623C4×D79—43no—
624C4×D79—43no—
625C4×D79—43no—
626C4×D79—43no—
627C4×D79—412no—
628C4×D79—412no—
629Dic158—26no—
630Dic158—212no—
631C22×C79—23no—
632C22×C79—23no—
633C22×C79C22×#4116yes—
634C22×C79C2611yescharacteristic
635C2×D79—21no—
636C2×D79—21no—
637C2×D79—23no—
638C2×D79—26no—
639C2×D79—22no—
640C2×D79—23no—
641C2×D79—22no—
642C2×D79—22no—
643C2×D79—23no—
644C2×D79—26no—
645C2×D79—26no—
646C2×D79—412no—
647C2×D79—812no—
648C2×D79#58512yes—
649C4×C79—23no—
650C4×C79—22no—
651C4×C79—21no—
652C4×C79—22no—
653C4×C79—26no—
654C4×C79—23no—
655C4×C79—26no—
656C4×C79C22×#4112yes—
657C4×C79C22×#4116yes—
658C4×C79#58512yes—
659Dic79—23no—
660Dic79—26no—
661Dic79—21no—
662Dic79—22no—
663Dic79—23no—
664Dic79—23no—
665Dic79—21no—
666Dic79—21no—
667#62816—791nomaximal, Sylow
668C2×C79—26no—
669C2×C79C23×#4111yescharacteristic
670C2×C79C2×#58511yescharacteristic
671C2×C79C2×#58511yescharacteristic
672D79—22no—
673D79—43no—
674D79—46no—
675D79—42no—
676#3524—792no—
677#3523—791no—
678#3522—791no—
679#3521—796no—
680#3520—793no—
681#3519—793no—
682#3518—791no—
683#3517—791no—
684#3516—792no—
685#3515—793no—
686#3514—793no—
687#3513—796no—
688#3480—793no—
689Q8×#41D7911yescharacteristic, complemented
690#3475—796no—
691#3475—793no—
692D4×#41—791no—
693D4×#41—792no—
694#3455—796no—
695#3444—793no—
696C2×#529—793no—
697#3428—792no—
698C2×C4×#41—791no—
699C79#6281611yescharacteristic, complemented, Sylow
700C22×#41—791no—
701C22×#41—792no—
702#559—796no—
703#559—793no—
704Q82C2×D7911yescharacteristic, complemented
705#557—793no—
706#557C2×D7912yescomplemented
707#557C2×D7911yescharacteristic, complemented
708#556—793no—
709#556—796no—
710#556—796no—
711#556—793no—
712#555—796no—
713#555—793no—
714#554—793no—
715#554—796no—
716#554C2×D7916yescomplemented
717#554C2×D7913yescomplemented
718#553—796no—
719#553—796no—
720#553—796no—
721#553—7912no—
722#553—796no—
723#552—796no—
724#552—796no—
725#552—796no—
726#552—796no—
727#552—7912no—
728#551—7912no—
729#551—7912no—
730#551—7912no—
731#550—791no—
732#550—792no—
733#550—793no—
734D4×Q8—792no—
735D4×Q8—791no—
736D4×Q8C2×D7913yescomplemented
737#548—796no—
738#548—792no—
739#548—792no—
740#548—792no—
741#547—796no—
742#547—793no—
743#547—793no—
744#547—796no—
745#546—7912no—
746#546—796no—
747#546—796no—
748#546—796no—
749#546—796no—
750D42—796no—
751D42—793no—
752#542—796no—
753#542—796no—
754#542—796no—
755#542—796no—
756#541—796no—
757#541—796no—
758#540—796no—
759#540—796no—
760#539—7912no—
761#539—7912no—
762#538—7912no—
763#538—7912no—
764#533—793no—
765#533—793no—
766#533C2×D7913yescomplemented
767#533C2×D7916yescomplemented
768#532—793no—
769#532—793no—
770#532—793no—
771#532—796no—
772#529—796no—
773#529—796no—
774#529—796no—
775#529—796no—
776#529—791no—
777#529—793no—
778#529—796no—
779#529—796no—
780#529—793no—
781#529—793no—
782#529—796no—
783#529—793no—
784#529—793no—
785#529—793no—
786#529—793no—
787#529—796no—
788#529—796no—
789#529—7912no—
790#529—7912no—
791C2×#126—796no—
792C2×#125—793no—
793C2×#124—793no—
794#525—796no—
795#525—796no—
796#525—796no—
797#525—796no—
798#525—796no—
799C2×#123—796no—
800C2×C22⋊Q8—793no—
801C2×#121—793no—
802#520—792no—
803#520—792no—
804#520—796no—
805#520—796no—
806#519—792no—
807#519—792no—
808#518—796no—
809#518—796no—
810C4×#41—791no—
811C4×#41—791no—
812C4×#41—791no—
813C4×#41—796no—
814C4×#41—796no—
815C4×#41—793no—
816C4×#41—793no—
817C4×#41—793no—
818C4×#41—796no—
819C4×#41—793no—
820C4×#41—796no—
821C4×#41C2×D7911yescharacteristic
822C4×#41C2×D7912yes—
823C2×C4×Q8—791no—
824C2×C4×Q8—791no—
825C2×C4×Q8C2×D7913yescomplemented
826C2×C4×D4—793no—
827C2×C4×D4—793no—
828C2×C4×D4—796no—
829C2×C4×D4—793no—
830C2×#117—793no—
831C2×#117—796no—
832C2×#117—796no—
833C22×C42—793no—
834C2×#41—796no—
835C2×#41—796no—
836C2×#41—791no—
837C2×#41—792no—
838C2×#41—793no—
839C2×#41—796no—
840C2×#41—793no—
841C2×#41—796no—
842C2×#41—1588no—
843C2×#41—15816no—
844C2×#41C22×D7911yescharacteristic
845C22×Q8—791no—
846C22×Q8—792no—
847C22×Q8C22×D7913yes—
848C22×D4—793no—
849C22×D4—796no—
850C22×D4—796no—
851C22×D4—793no—
852C23×C4—793no—
853C23×C4—793no—
854C23×C4—796no—
855C23×C4—793no—
856C4⋊Q8—793no—
857C4⋊Q8—796no—
858C4⋊Q8C22×D7913yes—
859C4⋊Q8C22×D7913yes—
860C4⋊Q8C22×D7916yes—
861C4⋊Q8C22×D7916yes—
862#127—793no—
863#127—796no—
864#126—792no—
865#126—796no—
866#126—796no—
867#126—796no—
868#126—796no—
869#126—796no—
870#126—796no—
871#126—796no—
872#126—7912no—
873#126—7912no—
874#126—7912no—
875#126—7912no—
876#126—7912no—
877#125—791no—
878#125—793no—
879#125—796no—
880#125—796no—
881#125—793no—
882#125—793no—
883#125—796no—
884#125—7912no—
885#125—7912no—
886#125C22×D7916yes—
887#125C22×D7916yes—
888#125C22×D7916yes—
889#124—791no—
890#124—793no—
891#124—796no—
892#124—793no—
893#124—793no—
894#124—796no—
895#124—796no—
896#124—7912no—
897#124—7912no—
898#124—796no—
899#124—796no—
900#124—796no—
901#123—792no—
902#123—796no—
903#123—796no—
904#123—796no—
905#123—796no—
906#123—796no—
907#123—796no—
908#123—796no—
909#123—7912no—
910#123—7912no—
911#123—7912no—
912#123—7912no—
913#123—7912no—
914#123—7912no—
915#123—7912no—
916#123—7912no—
917C22⋊Q8—791no—
918C22⋊Q8—793no—
919C22⋊Q8—796no—
920C22⋊Q8—793no—
921C22⋊Q8—793no—
922C22⋊Q8—796no—
923C22⋊Q8—796no—
924C22⋊Q8—7912no—
925C22⋊Q8—7912no—
926C22⋊Q8—796no—
927C22⋊Q8—796no—
928C22⋊Q8—796no—
929C22⋊Q8—796no—
930C22⋊Q8—796no—
931C22⋊Q8—796no—
932C22⋊Q8C22×D7916yes—
933C22⋊Q8C22×D7916yes—
934C22⋊Q8C22×D79112yes—
935C22⋊Q8C22×D79112yes—
936#121—796no—
937#121—796no—
938#121—7912no—
939#121—7912no—
940#121—791no—
941#121—793no—
942#121—796no—
943#121—796no—
944#121—793no—
945#121—793no—
946#121—796no—
947#121—796no—
948#121—796no—
949#121—796no—
950#121—796no—
951#121—796no—
952#121—796no—
953#121—7912no—
954#121—7912no—
955#120—7912no—
956#120—7912no—
957#120—7912no—
958C4×Q8—791no—
959C4×Q8—791no—
960C4×Q8—796no—
961C4×Q8—796no—
962C4×Q8—793no—
963C4×Q8—793no—
964C4×Q8—796no—
965C4×Q8—796no—
966C4×Q8—793no—
967C4×Q8—793no—
968C4×Q8—796no—
969C4×Q8—796no—
970C4×Q8C22×D7911yescharacteristic
971C4×Q8C22×D7911yescharacteristic
972C4×Q8C22×D7911yescharacteristic
973C4×Q8C22×D7913yes—
974C4×Q8C22×D7916yes—
975C4×Q8C22×D7913yes—
976C4×Q8C22×D7913yes—
977C4×Q8C22×D7916yes—
978C4×Q8C22×D7916yes—
979C4×Q8C22×D7912yes—
980C4×Q8C22×D7912yes—
981C4×D4—793no—
982C4×D4—793no—
983C4×D4—796no—
984C4×D4—796no—
985C4×D4—7912no—
986C4×D4—7912no—
987C4×D4—793no—
988C4×D4—793no—
989C4×D4—796no—
990C4×D4—796no—
991C4×D4—7912no—
992C4×D4—7912no—
993C4×D4—796no—
994C4×D4—796no—
995C4×D4—796no—
996C4×D4—796no—
997C4×D4—7912no—
998C4×D4—7912no—
999C4×D4—791no—
1000C4×D4—792no—
1001C4×D4—796no—
1002C4×D4—793no—
1003C4×D4—793no—
1004C4×D4—793no—
1005C4×D4—796no—
1006C4×D4—796no—
1007C4×D4—796no—
1008C4×D4—796no—
1009C4×D4—793no—
1010C4×D4—796no—
1011C4×D4—796no—
1012C4×D4—796no—
1013C4×D4—793no—
1014C4×D4—796no—
1015C4×D4—796no—
1016C4×D4—796no—
1017C4×D4—796no—
1018C4×D4—7912no—
1019C4×D4C22×D7913yes—
1020C4×D4C22×D7913yes—
1021C4×D4C22×D7916yes—
1022C4×D4C22×D7916yes—
1023#117—793no—
1024#117—793no—
1025#117—793no—
1026#117—796no—
1027#117—796no—
1028#117—796no—
1029#117—796no—
1030#117—7912no—
1031#117—7912no—
1032#117—796no—
1033#117—7912no—
1034#117—796no—
1035#117—792no—
1036#117—796no—
1037#117—796no—
1038#117—796no—
1039#117—796no—
1040#117—796no—
1041#117—796no—
1042#117—796no—
1043#117C22×D7913yes—
1044#117C22×D7916yes—
1045C2×C4⋊C4—796no—
1046C2×C4⋊C4—796no—
1047C2×C4⋊C4—793no—
1048C2×C4⋊C4—796no—
1049C2×C4⋊C4—793no—
1050C2×C4⋊C4—793no—
1051C2×C4⋊C4—796no—
1052C2×C4⋊C4—796no—
1053C2×C4⋊C4C22×D7913yes—
1054C2×C4⋊C4C22×D7916yes—
1055C2×C22⋊C4—796no—
1056C2×C22⋊C4—796no—
1057C2×C22⋊C4—796no—
1058C2×C22⋊C4—796no—
1059C2×C22⋊C4—796no—
1060C2×C22⋊C4—796no—
1061C2×C22⋊C4—7912no—
1062C2×C42—793no—
1063C2×C42—793no—
1064C2×C42—793no—
1065C2×C42—793no—
1066C2×C42—7912no—
1067C2×C42—793no—
1068C2×C42—793no—
1069C2×C42—793no—
1070C2×C42—793no—
1071C2×C42—793no—
1072C2×C42—793no—
1073C2×C42—791no—
1074C2×C42C22×D7916yes—
1075C2×C42C22×D7913yes—
1076C24—796no—
1077C24—793no—
1078#41—31612no—
1079#41—31612no—
1080#41—1584no—
1081#41—1588no—
1082#41—15812no—
1083#41—15824no—
1084#41—15812no—
1085#41—15824no—
1086#41#1192962518yescomplemented
1087C2×Q8—46no—
1088C2×Q8—793no—
1089C2×Q8—796no—
1090C2×Q8—1584no—
1091C2×Q8—1588no—
1092C2×Q8C23×D7913yes—
1093C2×Q8C23×D7911yescharacteristic
1094C2×Q8C23×D7916yes—
1095C2×Q8C23×D7916yes—
1096C2×Q8C23×D7911yescharacteristic
1097C2×D4—3166no—
1098C2×D4—31612no—
1099C2×D4—796no—
1100C2×D4—7912no—
1101C2×D4—796no—
1102C2×D4—796no—
1103C2×D4—7912no—
1104C2×D4—796no—
1105C2×D4—796no—
1106C2×D4—796no—
1107C2×D4—792no—
1108C2×D4—791no—
1109C2×D4—793no—
1110C2×D4—793no—
1111C2×D4—796no—
1112C2×D4—15812no—
1113C2×D4—15824no—
1114C2×D4C23×D7913yes—
1115C22×C4—3166no—
1116C22×C4—3166no—
1117C22×C4—793no—
1118C22×C4—793no—
1119C22×C4—793no—
1120C22×C4—793no—
1121C22×C4—793no—
1122C22×C4—793no—
1123C22×C4—7912no—
1124C22×C4—7912no—
1125C22×C4—793no—
1126C22×C4—796no—
1127C22×C4—791no—
1128C22×C4—791no—
1129C22×C4—793no—
1130C22×C4—793no—
1131C22×C4—793no—
1132C22×C4—793no—
1133C22×C4—796no—
1134C22×C4—796no—
1135C22×C4—791no—
1136C22×C4—796no—
1137C22×C4—793no—
1138C22×C4—792no—
1139C22×C4—15812no—
1140C22×C4—15824no—
1141C22×C4C23×D7913yes—
1142C22×C4C23×D7913yes—
1143C22×C4C23×D7916yes—
1144C22×C4C23×D7916yes—
1145C22×C4C23×D7913yes—
1146C4⋊C4—792no—
1147C4⋊C4—796no—
1148C4⋊C4—796no—
1149C4⋊C4—792no—
1150C4⋊C4—796no—
1151C4⋊C4—796no—
1152C4⋊C4—796no—
1153C4⋊C4—796no—
1154C4⋊C4—796no—
1155C4⋊C4—796no—
1156C4⋊C4—793no—
1157C4⋊C4—793no—
1158C4⋊C4—791no—
1159C4⋊C4—792no—
1160C4⋊C4—793no—
1161C4⋊C4—796no—
1162C4⋊C4—796no—
1163C4⋊C4—796no—
1164C4⋊C4—796no—
1165C4⋊C4—796no—
1166C4⋊C4—7912no—
1167C4⋊C4C23×D7913yes—
1168C4⋊C4C23×D7913yes—
1169C4⋊C4C23×D7916yes—
1170C4⋊C4C23×D7916yes—
1171C4⋊C4C23×D7911yescharacteristic
1172C4⋊C4C23×D7912yes—
1173C4⋊C4C23×D7913yes—
1174C4⋊C4C23×D7916yes—
1175C4⋊C4C23×D7916yes—
1176C4⋊C4C23×D7916yes—
1177C4⋊C4C23×D7916yes—
1178C4⋊C4C23×D7916yes—
1179C4⋊C4C23×D79112yes—
1180C22⋊C4—796no—
1181C22⋊C4—792no—
1182C22⋊C4—796no—
1183C22⋊C4—796no—
1184C22⋊C4—792no—
1185C22⋊C4—792no—
1186C22⋊C4—792no—
1187C22⋊C4—792no—
1188C22⋊C4—796no—
1189C22⋊C4—796no—
1190C22⋊C4—796no—
1191C22⋊C4—796no—
1192C22⋊C4—796no—
1193C22⋊C4—796no—
1194C22⋊C4—796no—
1195C22⋊C4—796no—
1196C22⋊C4—796no—
1197C22⋊C4—796no—
1198C22⋊C4—796no—
1199C22⋊C4—796no—
1200C22⋊C4—796no—
1201C22⋊C4—796no—
1202C22⋊C4—796no—
1203C22⋊C4—7912no—
1204C22⋊C4—7912no—
1205C22⋊C4—7912no—
1206C22⋊C4C23×D7916yes—
1207C22⋊C4C23×D79112yes—
1208C42—791no—
1209C42—791no—
1210C42—793no—
1211C42—793no—
1212C42—793no—
1213C42—793no—
1214C42—793no—
1215C42—793no—
1216C42—793no—
1217C42—793no—
1218C42—7912no—
1219C42—7912no—
1220C42—793no—
1221C42—791no—
1222C42C23×D7913yes—
1223C42C23×D7913yes—
1224C42C23×D7916yes—
1225C42C23×D7916yes—
1226C42C23×D7911yescharacteristic
1227C42C23×D7913yes—
1228C42C23×D7916yes—
1229C42C23×D7912yes—
1230C23—3163no—
1231C23—3166no—
1232C23—3166no—
1233C23—791no—
1234C23—792no—
1235C23—793no—
1236C23—796no—
1237C23—1586no—
1238C23—1586no—
1239C23—15812no—
1240C23C24×D7913yes—
1241Q8—22no—
1242Q8—26no—
1243Q8—46no—
1244Q8—46no—
1245Q8—1586no—
1246Q8—15812no—
1247Q8C2×#1192962514yes—
1248D4—3166no—
1249D4—3166no—
1250D4—3166no—
1251D4—3166no—
1252D4—31612no—
1253D4—1584no—
1254D4—15812no—
1255D4—15812no—
1256D4—15824no—
1257D4—1582no—
1258D4—1586no—
1259D4—1586no—
1260D4—15812no—
1261D4C2×#11929625112yes—
1262C2×C4—26no—
1263C2×C4—43no—
1264C2×C4—46no—
1265C2×C4—46no—
1266C2×C4—3163no—
1267C2×C4—3163no—
1268C2×C4—3163no—
1269C2×C4—3163no—
1270C2×C4—31612no—
1271C2×C4—31612no—
1272C2×C4—3163no—
1273C2×C4—3163no—
1274C2×C4—791no—
1275C2×C4—791no—
1276C2×C4—793no—
1277C2×C4—791no—
1278C2×C4—793no—
1279C2×C4—793no—
1280C2×C4—796no—
1281C2×C4—792no—
1282C2×C4—1582no—
1283C2×C4—1586no—
1284C2×C4—1586no—
1285C2×C4—15812no—
1286C2×C4—1582no—
1287C2×C4—1586no—
1288C2×C4—1584no—
1289C2×C4—1582no—
1290C2×C4—15812no—
1291C2×C4—1586no—
1292C2×C4—1586no—
1293C2×C4—15812no—
1294C2×C4—1586no—
1295C2×C4—15812no—
1296C2×C4C2×#11929625112yes—
1297C2×C4C24×D7911yescharacteristic
1298C2×C4C24×D7916yes—
1299C2×C4C24×D7913yes—
1300C2×C4C24×D7913yes—
1301C2×C4C24×D7916yes—
1302C2×C4C24×D7912yes—
1303C2×C4C24×D7912yes—
1304C2×C4C24×D7911yescharacteristic
1305C2×C4C24×D7913yes—
1306C2×C4C24×D7911yescharacteristic
1307C22—23no—
1308C22—23no—
1309C22—31612no—
1310C22—792no—
1311C22—63212no—
1312C22—1582no—
1313C22—1583no—
1314C22—1586no—
1315C22—1583no—
1316C22—1586no—
1317C22—1582no—
1318C22—1586no—
1319C22—1583no—
1320C22—1582no—
1321C22—1581no—
1322C22—1581no—
1323C22C22×#1192962516yes—
1324C22C25×D7911yescharacteristic
1325C4—21no—
1326C4—22no—
1327C4—26no—
1328C4—23no—
1329C4—23no—
1330C4—22no—
1331C4—26no—
1332C4—1581no—
1333C4—1582no—
1334C4—1583no—
1335C4—1586no—
1336C4—1581no—
1337C4—1583no—
1338C4—1581no—
1339C4—1583no—
1340C4C22×#1192962512yes—
1341C4C22×#1192962516yes—
1342C4#1909939912yes—
1343C2—26no—
1344C2—3163no—
1345C2—3162no—
1346C2—3166no—
1347C2—1582no—
1348C2C23×#1192962511yescharacteristic
1349C2#585×D7911yescharacteristic
1350C2C2×#1909939911yescharacteristic
subgroupG/H
centerC2×C4C24×D79
commutator, socle, cosocleC22×C79C26
FrattiniC22C25×D79
FittingQ8×#41×C79C2
hypercenterQ8×#41D79
hypocenterC79#62816
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C2×C4 ◁ Q8×#41

Complements

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

NH ≅ G/Ntype
1. #23777512C2semidirect
2. #23777497C2semidirect
3. #23777486C2semidirect
4. #23777471C2semidirect
5. #23777450C2semidirect
6. #23777433C2semidirect
7. #23777418C2semidirect
8. #23777407C2semidirect
9. #23777396C2semidirect
10. #23777379C2semidirect
11. #23777362C2semidirect
12. #23777343C2semidirect
13. #23776995C2semidirect
14. #23776967C2semidirect
15. #23776967C2semidirect
16. #41×D316C2semidirect
17. #41×D316C2semidirect
18. #23776792C2semidirect
19. #23776697C2semidirect
20. C2×#19099100C2semidirect
21. #23776599C2semidirect
22. C4×#41×D79C2semidirect
23. Q8×#41×C79C2semidirect
26. #19099298C22semidirect
27. #19099298C22semidirect
28. #19099292C22semidirect
29. #19099287C22semidirect
30. #19099287C22semidirect
31. #19099286C22semidirect
32. #19099286C22semidirect
33. #19099279C22semidirect
34. #19099279C22semidirect
35. #19099274C22semidirect
36. #19099274C22semidirect
37. #19099266C22semidirect
38. #19099266C22semidirect
39. #19099266C22semidirect
40. #19099261C22semidirect
41. #19099261C22semidirect
42. #19099255C22semidirect
43. #19099255C22semidirect
44. #19099251C22semidirect
45. #19099251C22semidirect
46. #19099251C22semidirect
47. #19099240C22semidirect
48. #19099240C22semidirect
49. #19099240C22semidirect
50. #19099235C22semidirect
51. #19099235C22semidirect
52. #19099235C22semidirect
53. Q8×D316C22semidirect
54. Q8×D316C22semidirect
55. #19099225C22semidirect
56. #19099225C22semidirect
57. #19099225C22semidirect
58. #19099224C22semidirect
59. #19099217C22semidirect
60. #19099217C22semidirect
61. #19099216C22semidirect
62. #19099216C22semidirect
63. #19099208C22semidirect
64. #19099208C22semidirect
65. #19099208C22semidirect
66. #19099204C22semidirect
67. #19099204C22semidirect
68. D4×D316C22semidirect
69. D4×D316C22semidirect
70. #19099187C22semidirect
71. #19099187C22semidirect
72. #19099187C22semidirect
73. #19099187C22semidirect
74. #19099176C22semidirect
75. #19099176C22semidirect
76. #19099169C22semidirect
77. #19099169C22semidirect
78. #19099162C22semidirect
79. #19099162C22semidirect
80. #19099153C22semidirect
81. #19099153C22semidirect
82. #19099118C22semidirect
83. #19099118C22semidirect
84. #19099114C22semidirect
85. #19099114C22semidirect
86. #19099113C22semidirect
87. #19099113C22semidirect
90. #19099100C22semidirect
91. #19099100C22semidirect
92. #19099100C22semidirect
93. #19099100C22semidirect
94. #19099100C22semidirect
95. #19099100C22semidirect
96. #19099100C22semidirect
97. #19099100C22semidirect
98. #19099100C22semidirect
99. #19099100C22semidirect
100. #19099100C22semidirect
101. #19099100C22semidirect
102. #19099100C22semidirect
103. #19099099C22semidirect
104. #19099099C22semidirect
105. #19099098C22semidirect
106. #19099098C22semidirect
107. C2×#14579156C22semidirect
108. C2×#14579152C22semidirect
109. C2×#14579150C22semidirect
110. #19099076C22semidirect
111. #19099076C22semidirect
112. #19099075C22semidirect
113. #19099075C22semidirect
114. #19099075C22semidirect
115. C2×#14579146C22semidirect
116. C2×#14579137C22semidirect
118. #19099045C22semidirect
119. #19099045C22semidirect
120. #19099042C22semidirect
121. #19099042C22semidirect
122. #19099039C22semidirect
123. #19099039C22semidirect
124. #19099035C22semidirect
125. #19099035C22semidirect
127. C4×#11929625C22semidirect
128. C4×#11929625C22semidirect
129. C4×#11929625C22semidirect
130. C4×#11929625C22semidirect
131. C4×#11929624C22semidirect
132. C4×#11929624C22semidirect
133. #19099031C22semidirect
134. #19099031C22semidirect
135. C4×#11929623C22semidirect
136. C4×#11929623C22semidirect
137. C4×Q8×D79C22semidirect
138. C4×Q8×D79C22semidirect
139. C2×C4×D316C22semidirect
140. C2×C4×D316C22semidirect
141. C4×D4×D79C22semidirect
142. C4×D4×D79C22semidirect
143. C2×#14579118C22semidirect
144. #117×D79C22semidirect
145. #117×D79C22semidirect
146. C2×C42×D79C22semidirect
147. Q82×C79C22semidirect
148. #557×C79C22semidirect
149. #557×C79C22semidirect
150. #554×C79C22semidirect
151. #554×C79C22semidirect
152. D4×Q8×C79C22semidirect
153. #533×C79C22semidirect
154. #533×C79C22semidirect
157. C2×C4×Q8×C79C22semidirect
518. #41×C79#41semidirect
689. Q8×#41D79semidirect
699. C79#62816semidirect
704. Q82C2×D79semidirect
706. #557C2×D79semidirect
707. #557C2×D79semidirect
716. #554C2×D79semidirect
717. #554C2×D79semidirect
736. D4×Q8C2×D79semidirect
766. #533C2×D79semidirect
767. #533C2×D79semidirect
825. C2×C4×Q8C2×D79semidirect
1086. #41#11929625semidirect

Maximal subgroups

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

subgroupindex
#237775122
#237774972
#237774862
#237774712
#237774502
#237774332
#237774182
#237774072
#237773962
#237773792
#237773622
#237773432
#237769952
#237769672
#41×D3162
#237767922
#237766972
C2×#190991002
#237765992
C4×#41×D792
Q8×#41×C792
#6281679