Finite Group Databasebeta

← #3518×D79 #35196529

Subgroups — #3518×D79 #35196529

Order 20224.

7118 conjugacy classes of subgroups.

The subgroup lattice has 1346 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777418C211yesmaximal, characteristic, complemented
2#23777417C211yesmaximal, characteristic, complemented
3#23777416C213yesmaximal, complemented
4#23777415C213yesmaximal, complemented
5#23777414C213yesmaximal, complemented
6#23777413C216yesmaximal, complemented
7#23777412C211yesmaximal, characteristic, complemented
8#23777411C212yesmaximal, complemented
9#23777410C216yesmaximal, complemented
10#23777409C213yesmaximal, complemented
11#23777408C212yesmaximal, complemented
12Q82×D79C211yesmaximal, characteristic, complemented
13#556×D79C216yesmaximal, complemented
14#556×D79C213yesmaximal, complemented
15#555×D79C213yesmaximal, complemented
16D4×Q8×D79C211yesmaximal, characteristic, complemented
17#548×D79C212yesmaximal, complemented
18#542×D79C216yesmaximal, complemented
19#533×D79C213yesmaximal, complemented
20#529×D79C213yesmaximal, complemented
21#519×D79C212yesmaximal, complemented
22C4×#41×D79C211yesmaximal, characteristic, complemented
23C79×#3518C211yesmaximal, characteristic, complemented
24C2×#41×D79C2211yescharacteristic
25C22×Q8×D79C2212yes—
26Q8×Dic158C2212yescomplemented
27Q8×Dic158C2211yescharacteristic, complemented
28Q8×Dic158C2213yescomplemented
29#19099293C2213yescomplemented
30#19099293C2216yescomplemented
31#19099287C2213yescomplemented
32#19099287C2216yescomplemented
33#19099286C2216yescomplemented
34#19099286C2213yescomplemented
35#19099285C22112yescomplemented
36#19099285C2216yescomplemented
37#19099284C2216yescomplemented
38#19099284C2216yescomplemented
39#19099284C2216yescomplemented
40#19099283C2216yescomplemented
41#19099283C2213yescomplemented
42#19099282C2216yescomplemented
43#19099282C22112yescomplemented
44#19099281C2216yescomplemented
45#19099281C2216yescomplemented
46#19099281C2216yescomplemented
47#19099280C22112yescomplemented
48#19099280C22112yescomplemented
49#19099280C22112yescomplemented
50#19099279C2213yescomplemented
51#19099278C2213yescomplemented
52#19099278C2213yescomplemented
53#19099277C2216yescomplemented
54#19099277C2216yescomplemented
55#19099276C2216yescomplemented
56#19099276C2216yescomplemented
57#19099275C22112yescomplemented
58Q8×D316C2211yescharacteristic, complemented
59D4×Dic158C2213yescomplemented
60#19099228C2213yescomplemented
61Q8×C22⋊D79C2212yescomplemented
62#19099226C2216yescomplemented
63#19099225C2212yescomplemented
64#19099224C2212yescomplemented
65#19099223C2216yescomplemented
66#19099222C2216yescomplemented
67#19099221C2216yescomplemented
68#19099220C2212yescomplemented
69#19099219C2216yescomplemented
70#19099187C2216yescomplemented
71#19099186C2216yescomplemented
72#19099185C2216yescomplemented
73#19099184C2216yescomplemented
74#19099183C22112yescomplemented
75#19099182C2216yescomplemented
76#19099181C22112yescomplemented
77#19099180C2216yescomplemented
78#19099179C22112yescomplemented
79#19099178C2216yescomplemented
80#19099177C22112yescomplemented
81#19099120C2213yescomplemented
82#19099119C2216yescomplemented
83#19099118C2213yescomplemented
84#19099118C2213yescomplemented
85#19099117C2216yescomplemented
86#19099117C2216yescomplemented
87#19099116C2216yescomplemented
88#19099115C2216yescomplemented
89#19099115C2216yescomplemented
90C4⋊Q8×D79C2216yes—
91C4⋊Q8×D79C2213yes—
92C4⋊Q8×D79C2213yes—
93#19099100C2213yescomplemented
94#19099099C2213yescomplemented
95#19099098C2213yescomplemented
96#19099097C2213yescomplemented
97#19099096C2216yescomplemented
98#19099095C2213yescomplemented
99#19099094C2213yescomplemented
100#19099093C2216yescomplemented
101#19099092C2213yescomplemented
102#19099091C2216yescomplemented
103#19099090C2216yescomplemented
104#126×D79C22112yes—
105#126×D79C2216yes—
106#125×D79C2213yes—
107#124×D79C2216yes—
108#124×D79C22112yes—
109#124×D79C2211yescharacteristic
110#123×D79C2216yes—
111C22⋊Q8×D79C2216yes—
112C22⋊Q8×D79C2216yes—
113C22⋊Q8×D79C2216yes—
114C22⋊Q8×D79C2213yes—
115#121×D79C2216yes—
116#121×D79C2213yes—
117#19099041C2212yescomplemented
118#19099040C2216yescomplemented
119#19099040C2216yescomplemented
120#19099039C2212yescomplemented
121#19099039C2216yescomplemented
122#19099039C2216yescomplemented
123#19099039C2212yescomplemented
124#41×Dic79C2211yescharacteristic, complemented
125C4×#11929625C2211yescharacteristic, complemented
126C4×#11929625C2211yescharacteristic, complemented
127C4×#11929624C2213yescomplemented
128#19099031C2213yescomplemented
129C4×#11929623C2213yescomplemented
130C4×#11929623C2213yescomplemented
131C4×Q8×D79C2216yes—
132C4×Q8×D79C2211yescharacteristic
133C4×Q8×D79C2211yescharacteristic
134C4×Q8×D79C2212yes—
135C4×Q8×D79C2216yes—
136C4×Q8×D79C2213yes—
137C4×Q8×D79C2216yes—
138C4×D4×D79C2213yes—
139C4×D4×D79C2213yes—
140C4×D4×D79C2216yes—
141C4×D4×D79C2213yes—
142#117×D79C2216yes—
143#117×D79C2213yes—
144#117×D79C2216yes—
145#117×D79C2216yes—
146C2×C42×D79C2213yes—
147Q82×C79C2211yescharacteristic, complemented
148#556×C79C2216yescomplemented
149#556×C79C2213yescomplemented
150#555×C79C2213yescomplemented
151D4×Q8×C79C2211yescharacteristic, complemented
152#548×C79C2212yescomplemented
153#542×C79C2216yescomplemented
154#533×C79C2213yescomplemented
155#529×C79C2213yescomplemented
156#519×C79C2212yescomplemented
157C4×#41×C79C2211yescharacteristic, complemented
158C2×#11929625C2311yescharacteristic
159C2×#11929624C2313yes—
160C2×#11929623C2313yes—
161#41×D79—28no—
162C22×Dic158C2316yes—
163C2×Q8×D79—216no—
164C2×Q8×D79C2312yes—
165C2×Q8×D79C2316yes—
166C2×Q8×D79C2311yescharacteristic
167C2×Q8×D79C2316yes—
168C2×Q8×D79C2316yes—
169C2×Q8×D79C2311yescharacteristic
170C2×D4×D79C2311yescharacteristic
171C2×D4×D79C2313yes—
172C2×D4×D79C2316yes—
173C22×C4×D79C2313yes—
174C22×C4×D79C2313yes—
175C22×C4×D79C2316yes—
176C22×C4×D79C2313yes—
177#14579161C2316yes—
178#14579161C2313yes—
179#14579161C2313yes—
180#14579160C2316yes—
181#14579160C23112yes—
182#14579160C2316yes—
183#14579160C2316yes—
184#14579160C2316yes—
185#14579160C2316yes—
186#14579160C2316yes—
187#14579159C23112yes—
188#14579159C2316yes—
189#14579159C2316yes—
190#14579156C23112yes—
191#14579156C23112yes—
192#14579156C23112yes—
193#14579156C2316yes—
194#14579156C2316yes—
195#14579156C2316yes—
196#14579155C23112yes—
197#14579155C2316yes—
198#14579154C23112yes—
199#14579154C23112yes—
200#14579154C23112yes—
201#14579154C2316yes—
202#14579154C2316yes—
203#14579154C2316yes—
204#14579153C2313yes—
205#14579152C2313yes—
206#14579152C2313yes—
207#14579151C2316yes—
208#14579151C2316yes—
209#14579150C23112yes—
210#14579150C2316yes—
211#14579150C2311yescharacteristic
212#14579149C23112yes—
213#14579149C2316yes—
214#14579149C2311yescharacteristic
215#14579148C2316yes—
216#14579148C23112yes—
217#14579148C2311yescharacteristic
218#14579147C23112yes—
219#14579147C23112yes—
220#14579147C23112yes—
221#14579147C23112yes—
222#14579147C23112yes—
223#14579147C23112yes—
224#14579147C2312yes—
225#14579147C2312yes—
226#14579146C2316yes—
227#14579146C2316yes—
228#14579145C2316yes—
229#14579144C2316yes—
230#14579143C2316yes—
231#14579143C2316yes—
232#14579142C2316yes—
233#14579141C2316yes—
234#14579141C2316yes—
235#14579141C2316yes—
236#14579141C2313yes—
237#14579140C2316yes—
238#14579140C2316yes—
239#14579140C2316yes—
240#14579140C2313yes—
241#14579139C23112yes—
242#14579139C23112yes—
243#14579139C23112yes—
244#14579139C2316yes—
245#14579138C23112yes—
246#14579138C23112yes—
247#14579138C23112yes—
248#14579138C2316yes—
249#14579137C2316yes—
250#14579137C2316yes—
251#14579137C2316yes—
252#14579137C2313yes—
253#14579136C2316yes—
254#14579136C2313yes—
255#14579135C2316yes—
256#14579135C2313yes—
257#14579134C23112yes—
258#14579134C2316yes—
259#14579133C23112yes—
260#14579133C2316yes—
261#14579132C2316yes—
262#14579132C2313yes—
263Q8×Dic79C2316yes—
264Q8×Dic79C2312yes—
265Q8×Dic79C2311yescharacteristic
266Q8×Dic79C2316yes—
267Q8×Dic79C2316yes—
268Q8×Dic79C2313yes—
269Q8×Dic79C2311yescharacteristic
270C4×Dic158C23112yes—
271C4×Dic158C2316yes—
272C4×Dic158C2316yes—
273C4×Dic158C2313yes—
274C4×Dic158C2316yes—
275C4×Dic158C23112yes—
276C4×Dic158C23112yes—
277C4×Dic158C2316yes—
278C4×Dic158C2316yes—
279C4×Dic158C2313yes—
280C4×Dic158C2313yes—
281#14579126C2316yes—
282#14579126C23112yes—
283#14579126C2316yes—
284#14579126C2313yes—
285#14579126C23112yes—
286#14579126C2316yes—
287#14579126C2316yes—
288#14579126C23112yes—
289#14579126C2316yes—
290#14579126C2313yes—
291#14579126C2313yes—
292C4×D316C2313yes—
293C4×D316C2316yes—
294C4×D316C2313yes—
295C4×D316C2313yes—
296D4×Dic79C2313yes—
297D4×Dic79C2316yes—
298D4×Dic79C2313yes—
299D4×Dic79C2313yes—
300#14579123C2313yes—
301#14579123C2316yes—
302#14579123C2313yes—
303#14579123C2313yes—
304C4×C22⋊D79C2316yes—
305C4×C22⋊D79C2316yes—
306C4×C22⋊D79C2316yes—
307C4×C22⋊D79C2316yes—
308C4×C22⋊D79C2316yes—
309(C22⋊D79)⋊C4C2316yes—
310(C22⋊D79)⋊C4C2316yes—
311(C22⋊D79)⋊C4C2316yes—
312(C22⋊D79)⋊C4C2316yes—
313(C22⋊D79)⋊C4C2316yes—
314#14579120C2316yes—
315#14579120C2316yes—
316#14579120C2316yes—
317#14579120C2313yes—
318#14579119C2316yes—
319#14579119C2316yes—
320#14579119C2316yes—
321#14579119C2316yes—
322#14579119C2316yes—
323#14579119C2316yes—
324#14579119C2313yes—
325#14579119C2313yes—
326#14579118C2316yes—
327#14579118C2316yes—
328#14579118C23112yes—
329#14579118C23112yes—
330#14579118C2316yes—
331#14579117C2316yes—
332#14579117C2316yes—
333#14579117C23112yes—
334#14579117C23112yes—
335#14579117C2316yes—
336C4⋊C4×D79C2313yes—
337C4⋊C4×D79C2313yes—
338C4⋊C4×D79C2313yes—
339C4⋊C4×D79C2313yes—
340C4⋊C4×D79C2316yes—
341C4⋊C4×D79C2316yes—
342C4⋊C4×D79C2316yes—
343C4⋊C4×D79C2316yes—
344C4⋊C4×D79C2316yes—
345C4⋊C4×D79C2316yes—
346C22⋊C4×D79C2316yes—
347C22⋊C4×D79C2312yes—
348C22⋊C4×D79C2316yes—
349C22⋊C4×D79C23112yes—
350C22⋊C4×D79C2312yes—
351C22⋊C4×D79C2316yes—
352C22⋊C4×D79C2316yes—
353C2×C4×Dic79C2313yes—
354C2×C4×Dic79C2313yes—
355C2×C4×Dic79C2313yes—
356C42×D79C2311yescharacteristic
357C42×D79C2313yes—
358C42×D79C2313yes—
359C42×D79C2313yes—
360C42×D79C2313yes—
361C42×D79C2313yes—
362C42×D79C2313yes—
363C42×D79C2313yes—
364C42×D79C23112yes—
365C42×D79C2316yes—
366C2×#41×C79C2311yescharacteristic
367C22×Q8×C79C2312yes—
368C4⋊Q8×C79C2316yes—
369C4⋊Q8×C79C2313yes—
370C4⋊Q8×C79C2313yes—
371#126×C79C23112yes—
372#126×C79C2316yes—
373#125×C79C2313yes—
374#124×C79C23112yes—
375#124×C79C2316yes—
376#124×C79C2311yescharacteristic
377#123×C79C2316yes—
378C22⋊Q8×C79C2316yes—
379C22⋊Q8×C79C2316yes—
380C22⋊Q8×C79C2316yes—
381C22⋊Q8×C79C2313yes—
382#121×C79C2316yes—
383#121×C79C2313yes—
384C4×Q8×C79C2316yes—
385C4×Q8×C79C2312yes—
386C4×Q8×C79C2311yescharacteristic
387C4×Q8×C79C2311yescharacteristic
388C4×Q8×C79C2316yes—
389C4×Q8×C79C2313yes—
390C4×Q8×C79C2316yes—
391C4×D4×C79C2313yes—
392C4×D4×C79C2316yes—
393C4×D4×C79C2313yes—
394C4×D4×C79C2313yes—
395#117×C79C2316yes—
396#117×C79C2313yes—
397#117×C79C2316yes—
398#117×C79C2316yes—
399C2×C42×C79C2313yes—
400C23×D79C2412yes—
401C23×D79C2413yes—
402#11929625—24no—
403#11929624—212no—
404#11929623—212no—
405C2×Dic158—224no—
406C2×Dic158C24112yes—
407C2×Dic158C2416yes—
408C2×Dic158C2412yes—
409C2×Dic158C2411yescharacteristic
410C2×Dic158C24112yes—
411C2×Dic158C2416yes—
412C2×Dic158C2413yes—
413Q8×D79—224no—
414Q8×D79—24no—
415Q8×D79—224no—
416Q8×D79—28no—
417Q8×D79—412no—
418Q8×D79#4118yes—
419C2×D316C2413yes—
420C2×D316C2411yescharacteristic
421C2×D316C2416yes—
422C2×C22⋊D79C2416yes—
423C2×C22⋊D79C2412yes—
424C2×C22⋊D79C2416yes—
425C2×C22⋊D79C2416yes—
426D4×D79—212no—
427D4×D79—24no—
428D4×D79—412no—
429C22×Dic79C2416yes—
430C22×Dic79C2413yes—
431C22×Dic79C2413yes—
432C22×Dic79C2413yes—
433C2×C4×D79—224no—
434C2×C4×D79—212no—
435C2×C4×D79—212no—
436C2×C4×D79—46no—
437C2×C4×D79C2416yes—
438C2×C4×D79C2416yes—
439C2×C4×D79C2413yes—
440C2×C4×D79C2416yes—
441C2×C4×D79C2416yes—
442C2×C4×D79C2412yes—
443C2×C4×D79C2413yes—
444C2×C4×D79C2413yes—
445C2×C4×D79C2413yes—
446C2×C4×D79C2411yescharacteristic
447C2×C4×D79C2411yescharacteristic
448C2×C4×D79C2413yes—
449C2×C4×D79C2413yes—
450C2×C4×D79C2413yes—
451C2×C4×D79C2413yes—
452C2×C4×D79C2413yes—
453C2×C4×D79C2411yescharacteristic
454C4⋊Dic79C2413yes—
455C4⋊Dic79C2413yes—
456C4⋊Dic79C2413yes—
457C4⋊Dic79C2413yes—
458C4⋊Dic79C2416yes—
459C4⋊Dic79C2416yes—
460C4⋊Dic79C2416yes—
461C4⋊Dic79C2416yes—
462C4⋊Dic79C2416yes—
463C4⋊Dic79C2416yes—
464Dic79⋊C4C2416yes—
465Dic79⋊C4C2416yes—
466Dic79⋊C4C2416yes—
467Dic79⋊C4C2416yes—
468Dic79⋊C4C24112yes—
469Dic79⋊C4C2416yes—
470Dic79⋊C4C2416yes—
471Dic79⋊C4C2416yes—
472Dic79⋊C4C2416yes—
473Dic79⋊C4C2416yes—
474Dic79⋊C4C2416yes—
475Dic79⋊C4C24112yes—
476Dic79⋊C4C2416yes—
477Dic79⋊C4C2416yes—
478C22⋊Dic79C2416yes—
479C22⋊Dic79C2412yes—
480C22⋊Dic79C2416yes—
481C22⋊Dic79C24112yes—
482C22⋊Dic79C2412yes—
483C22⋊Dic79C2416yes—
484C22⋊Dic79C2416yes—
485(C2×D79)⋊C4C2416yes—
486(C2×D79)⋊C4C2416yes—
487(C2×D79)⋊C4C2412yes—
488(C2×D79)⋊C4C2412yes—
489(C2×D79)⋊C4C2416yes—
490(C2×D79)⋊C4C2416yes—
491(C2×D79)⋊C4C24112yes—
492(C2×D79)⋊C4C24112yes—
493(C2×D79)⋊C4C2412yes—
494(C2×D79)⋊C4C2416yes—
495(C2×D79)⋊C4C2416yes—
496(C2×D79)⋊C4C2412yes—
497(C2×D79)⋊C4C2416yes—
498(C2×D79)⋊C4C2416yes—
499C4×Dic79C2411yescharacteristic
500C4×Dic79C2411yescharacteristic
501C4×Dic79C2411yescharacteristic
502C4×Dic79C2413yes—
503C4×Dic79C2413yes—
504C4×Dic79C2413yes—
505C4×Dic79C2413yes—
506C4×Dic79C2413yes—
507C4×Dic79C2413yes—
508C4×Dic79C2413yes—
509C4×Dic79C2413yes—
510C4×Dic79C2413yes—
511C4×Dic79C24112yes—
512C4×Dic79C24112yes—
513C4×Dic79C24112yes—
514C4×Dic79C2416yes—
515C4×Dic79C2416yes—
516C4×Dic79C2416yes—
517#41×C79—24no—
518C2×Q8×C79—28no—
519C2×Q8×C79C2416yes—
520C2×Q8×C79C2411yescharacteristic
521C2×Q8×C79C2416yes—
522C2×Q8×C79C2411yescharacteristic
523C2×D4×C79C2413yes—
524C2×D4×C79C2411yescharacteristic
525C2×D4×C79C2416yes—
526C22×C4×C79C2416yes—
527C22×C4×C79C2413yes—
528C22×C4×C79C2413yes—
529C22×C4×C79C2413yes—
530C4⋊C4×C79C2413yes—
531C4⋊C4×C79C2413yes—
532C4⋊C4×C79C2413yes—
533C4⋊C4×C79C2413yes—
534C4⋊C4×C79C2416yes—
535C4⋊C4×C79C2416yes—
536C4⋊C4×C79C2416yes—
537C4⋊C4×C79C2416yes—
538C4⋊C4×C79C2416yes—
539C4⋊C4×C79C2416yes—
540C22⋊C4×C79C2416yes—
541C22⋊C4×C79C2412yes—
542C22⋊C4×C79C2416yes—
543C22⋊C4×C79C24112yes—
544C22⋊C4×C79C2412yes—
545C22⋊C4×C79C2416yes—
546C22⋊C4×C79C2416yes—
547C42×C79C2411yescharacteristic
548C42×C79C2413yes—
549C42×C79C2413yes—
550C42×C79C2413yes—
551C42×C79C24112yes—
552C42×C79C2416yes—
553C23×C79C2513yes—
554C23×C79C2512yes—
555C22×D79—24no—
556C22×D79—26no—
557C22×D79—26no—
558C22×D79—24no—
559C22×D79—26no—
560C22×D79—24no—
561C22×D79C2513yes—
562C22×D79C2512yes—
563C22×D79C2511yescharacteristic
564Q8×C79—212no—
565Q8×C79—22no—
566Q8×C79—46no—
567Q8×C79C2×#4114yes—
568D4×C79—26no—
569D4×C79—22no—
570D4×C79—46no—
571C2×C4×C79—212no—
572C2×C4×C79—26no—
573C2×C4×C79—26no—
574C2×C4×C79—43no—
575C2×C4×C79C2513yes—
576C2×C4×C79C2511yescharacteristic
577C2×C4×C79C2511yescharacteristic
578C2×C4×C79C2512yes—
579C2×C4×C79C2516yes—
580C2×C4×C79C2516yes—
581C2×C4×C79C2513yes—
582C2×C4×C79C2513yes—
583C2×C4×C79C2511yescharacteristic
584C22⋊D79—212no—
585C22⋊D79—24no—
586C22⋊D79—46no—
587C22⋊D79—46no—
588C2×Dic79—212no—
589C2×Dic79—26no—
590C2×Dic79—26no—
591C2×Dic79—43no—
592C2×Dic79C2513yes—
593C2×Dic79C2511yescharacteristic
594C2×Dic79C2511yescharacteristic
595C2×Dic79C2512yes—
596C2×Dic79C2516yes—
597C2×Dic79C2516yes—
598C2×Dic79C2513yes—
599C2×Dic79C2513yes—
600C2×Dic79C2511yescharacteristic
601D316—26no—
602D316—22no—
603D316—46no—
604C4×D79—22no—
605C4×D79—212no—
606C4×D79—26no—
607C4×D79—24no—
608C4×D79—22no—
609C4×D79—26no—
610C4×D79—212no—
611C4×D79—212no—
612C4×D79—26no—
613C4×D79—26no—
614C4×D79—212no—
615C4×D79—26no—
616C4×D79—26no—
617C4×D79—43no—
618C4×D79—43no—
619C4×D79C2×#41112yes—
620C4×D792−1+414yes—
621Dic158—212no—
622Dic158—22no—
623Dic158—224no—
624Dic158—24no—
625Dic158—46no—
626Dic158—412no—
627Dic158C2×#41112yes—
628C22×C79—23no—
629C22×C79—22no—
630C22×C79—22no—
631C22×C79—23no—
632C22×C79—22no—
633C22×C79—23no—
634C22×C79C2611yescharacteristic
635C2×D79—23no—
636C2×D79—22no—
637C2×D79—22no—
638C2×D79—23no—
639C2×D79—22no—
640C2×D79—23no—
641C2×D79—48no—
642C2×D79—412no—
643C2×D79C22×#4112yes—
644C2×D79C2×2−1+412yes—
645C2×D79#58512yes—
646C4×C79—21no—
647C4×C79—26no—
648C4×C79—23no—
649C4×C79—22no—
650C4×C79—21no—
651C4×C79—23no—
652C4×C79—26no—
653C4×C79C22×#4116yes—
654C4×C79C2×2−1+412yes—
655Dic79—26no—
656Dic79—21no—
657Dic79—22no—
658Dic79—23no—
659Dic79—26no—
660Dic79—23no—
661Dic79—21no—
662Dic79C22×#4116yes—
663Dic79C2×2−1+412yes—
664C2×#3518—791nomaximal, Sylow
665C2×C79—43no—
666C2×C79—42no—
667C2×C79C23×#4111yescharacteristic
668C2×C79C22×2−1+411yescharacteristic
669C2×C79C2×#58511yescharacteristic
670D79—43no—
671D79—42no—
672D79#351814yesdirect product factor
673#3518—791no—
674#3518—796no—
675#3518—793no—
676#3518—793no—
677#3518—791no—
678#3518—792no—
679#3518—796no—
680#3518—793no—
681#3518—793no—
682#3518—792no—
683#3518—791no—
684#3518D7911yescharacteristic, direct product factor
685C2×Q82—791no—
686C2×#556—796no—
687C2×#556—793no—
688C2×#555—793no—
689C2×D4×Q8—791no—
690C2×#548—792no—
691C2×#542—796no—
692C2×#533—793no—
693C2×#529—793no—
694C2×#519—792no—
695C2×C4×#41—791no—
696C79C2×#351811yescharacteristic, complemented, Sylow
697C22×#41—791no—
698C23×Q8—792no—
699Q82—796no—
700Q82—793no—
701Q82—792no—
702Q82—791no—
703Q82—793no—
704Q82C2×D7911yescharacteristic, complemented
705#556—796no—
706#556—793no—
707#556—7912no—
708#556—7912no—
709#556—7912no—
710#556—7912no—
711#556—796no—
712#556—796no—
713#556—796no—
714#556—796no—
715#556—7912no—
716#556—796no—
717#556—796no—
718#556—793no—
719#556—796no—
720#556—793no—
721#556—796no—
722#556—796no—
723#556—796no—
724#556C2×D7916yescomplemented
725#556C2×D7913yescomplemented
726#555—793no—
727#555—7912no—
728#555—796no—
729#555—796no—
730#555—793no—
731#555—793no—
732#555—796no—
733#555—796no—
734#555C2×D7913yescomplemented
735D4×Q8—792no—
736D4×Q8—793no—
737D4×Q8—796no—
738D4×Q8—791no—
739D4×Q8—793no—
740D4×Q8C2×D7911yescharacteristic, complemented
741#548—792no—
742#548—792no—
743#548—796no—
744#548—796no—
745#548—796no—
746#548—792no—
747#548—796no—
748#548C2×D7912yescomplemented
749#542—796no—
750#542—7912no—
751#542—7912no—
752#542—796no—
753#542—7912no—
754#542—7912no—
755#542—796no—
756#542—796no—
757#542—796no—
758#542—796no—
759#542—796no—
760#542C2×D7916yescomplemented
761#533—793no—
762#533—793no—
763#533—796no—
764#533—796no—
765#533—796no—
766#533—796no—
767#533—796no—
768#533—796no—
769#533—793no—
770#533C2×D7913yescomplemented
771C2×C4⋊Q8—793no—
772C2×C4⋊Q8—793no—
773C2×C4⋊Q8—796no—
774#529—796no—
775#529—793no—
776#529—793no—
777#529—796no—
778#529—793no—
779#529—793no—
780#529—793no—
781#529—796no—
782#529—793no—
783#529—796no—
784#529—793no—
785#529C2×D7913yescomplemented
786C2×#126—796no—
787C2×#126—7912no—
788C2×#125—793no—
789C2×#124—791no—
790C2×#124—796no—
791C2×#124—7912no—
792C2×#123—796no—
793C2×C22⋊Q8—793no—
794C2×C22⋊Q8—796no—
795C2×C22⋊Q8—796no—
796C2×C22⋊Q8—796no—
797C2×#121—793no—
798C2×#121—796no—
799#519—792no—
800#519—796no—
801#519—796no—
802#519—792no—
803#519—792no—
804#519—796no—
805#519—796no—
806#519C2×D7912yescomplemented
807C4×#41—791no—
808C4×#41—791no—
809C4×#41—791no—
810C4×#41—793no—
811C4×#41—793no—
812C4×#41—793no—
813C4×#41—793no—
814C4×#41C2×D7911yescharacteristic, complemented
815C2×C4×Q8—791no—
816C2×C4×Q8—791no—
817C2×C4×Q8—796no—
818C2×C4×Q8—792no—
819C2×C4×Q8—796no—
820C2×C4×Q8—793no—
821C2×C4×Q8—796no—
822C2×C4×D4—793no—
823C2×C4×D4—793no—
824C2×C4×D4—796no—
825C2×C4×D4—793no—
826C2×#117—793no—
827C2×#117—796no—
828C2×#117—796no—
829C2×#117—796no—
830C22×C42—793no—
831C2×#41—791no—
832C2×#41—793no—
833C2×#41—793no—
834C2×#41—1588no—
835C2×#41C22×D7911yescharacteristic
836C22×Q8—796no—
837C22×Q8—791no—
838C22×Q8—791no—
839C22×Q8—796no—
840C22×Q8—796no—
841C22×Q8—792no—
842C22×Q8—796no—
843C22×Q8—15816no—
844C22×Q8C22×D7912yes—
845C22×D4—796no—
846C22×D4—791no—
847C22×D4—793no—
848C23×C4—793no—
849C23×C4—796no—
850C23×C4—793no—
851C23×C4—793no—
852C4⋊Q8—796no—
853C4⋊Q8—796no—
854C4⋊Q8—7912no—
855C4⋊Q8—796no—
856C4⋊Q8—796no—
857C4⋊Q8—796no—
858C4⋊Q8—796no—
859C4⋊Q8—7912no—
860C4⋊Q8—796no—
861C4⋊Q8—796no—
862C4⋊Q8—793no—
863C4⋊Q8—793no—
864C4⋊Q8—796no—
865C4⋊Q8C22×D7913yes—
866C4⋊Q8C22×D7913yes—
867C4⋊Q8C22×D7916yes—
868#126—796no—
869#126—796no—
870#126—796no—
871#126—7912no—
872#126—7912no—
873#126—7912no—
874#126—796no—
875#126—796no—
876#126—796no—
877#126—7912no—
878#126—7912no—
879#126—7912no—
880#126—796no—
881#126—7912no—
882#126C22×D7916yes—
883#126C22×D79112yes—
884#125—796no—
885#125—796no—
886#125—793no—
887#125—793no—
888#125—793no—
889#125C22×D7913yes—
890#124—791no—
891#124—796no—
892#124—7912no—
893#124—791no—
894#124—796no—
895#124—7912no—
896#124—792no—
897#124—792no—
898#124—7912no—
899#124—7912no—
900#124—7912no—
901#124—7912no—
902#124—7912no—
903#124—7912no—
904#124—791no—
905#124—796no—
906#124—7912no—
907#124C22×D7911yescharacteristic
908#124C22×D7916yes—
909#124C22×D79112yes—
910#123—796no—
911#123—796no—
912#123—796no—
913#123—796no—
914#123—796no—
915#123—796no—
916#123—796no—
917#123C22×D7916yes—
918C22⋊Q8—793no—
919C22⋊Q8—796no—
920C22⋊Q8—796no—
921C22⋊Q8—796no—
922C22⋊Q8—793no—
923C22⋊Q8—796no—
924C22⋊Q8—796no—
925C22⋊Q8—796no—
926C22⋊Q8—796no—
927C22⋊Q8—793no—
928C22⋊Q8—7912no—
929C22⋊Q8—796no—
930C22⋊Q8—7912no—
931C22⋊Q8—796no—
932C22⋊Q8—7912no—
933C22⋊Q8—796no—
934C22⋊Q8—796no—
935C22⋊Q8—7912no—
936C22⋊Q8—7912no—
937C22⋊Q8—7912no—
938C22⋊Q8C22×D7913yes—
939C22⋊Q8C22×D7916yes—
940C22⋊Q8C22×D7916yes—
941C22⋊Q8C22×D7916yes—
942#121—793no—
943#121—796no—
944#121—796no—
945#121—7912no—
946#121—793no—
947#121—796no—
948#121—793no—
949#121—796no—
950#121—796no—
951#121—7912no—
952#121C22×D7913yes—
953#121C22×D7916yes—
954C4×Q8—791no—
955C4×Q8—791no—
956C4×Q8—796no—
957C4×Q8—792no—
958C4×Q8—796no—
959C4×Q8—793no—
960C4×Q8—796no—
961C4×Q8—793no—
962C4×Q8—793no—
963C4×Q8—7912no—
964C4×Q8—796no—
965C4×Q8—796no—
966C4×Q8—7912no—
967C4×Q8—796no—
968C4×Q8—796no—
969C4×Q8—793no—
970C4×Q8—796no—
971C4×Q8—7912no—
972C4×Q8—793no—
973C4×Q8—793no—
974C4×Q8—7912no—
975C4×Q8—796no—
976C4×Q8—796no—
977C4×Q8—796no—
978C4×Q8—7912no—
979C4×Q8—796no—
980C4×Q8—793no—
981C4×Q8—7912no—
982C4×Q8—796no—
983C4×Q8C22×D7911yescharacteristic
984C4×Q8C22×D7911yescharacteristic
985C4×Q8C22×D7916yes—
986C4×Q8C22×D7912yes—
987C4×Q8C22×D7916yes—
988C4×Q8C22×D7913yes—
989C4×Q8C22×D7916yes—
990C4×D4—793no—
991C4×D4—793no—
992C4×D4—796no—
993C4×D4—793no—
994C4×D4—796no—
995C4×D4—796no—
996C4×D4—796no—
997C4×D4—796no—
998C4×D4—796no—
999C4×D4—793no—
1000C4×D4—793no—
1001C4×D4—796no—
1002C4×D4—793no—
1003C4×D4—796no—
1004C4×D4—796no—
1005C4×D4—796no—
1006C4×D4—796no—
1007C4×D4—796no—
1008C4×D4—793no—
1009C4×D4—793no—
1010C4×D4—796no—
1011C4×D4—793no—
1012C4×D4C22×D7913yes—
1013C4×D4C22×D7913yes—
1014C4×D4C22×D7916yes—
1015C4×D4C22×D7913yes—
1016#117—793no—
1017#117—796no—
1018#117—796no—
1019#117—796no—
1020#117—793no—
1021#117—793no—
1022#117—796no—
1023#117—796no—
1024#117—796no—
1025#117—796no—
1026#117—796no—
1027#117—796no—
1028#117—796no—
1029#117—796no—
1030#117—796no—
1031#117—7912no—
1032#117—7912no—
1033#117—796no—
1034#117—796no—
1035#117—796no—
1036#117—7912no—
1037#117—7912no—
1038#117C22×D7913yes—
1039#117C22×D7916yes—
1040#117C22×D7916yes—
1041#117C22×D7916yes—
1042C2×C4⋊C4—793no—
1043C2×C4⋊C4—793no—
1044C2×C4⋊C4—793no—
1045C2×C4⋊C4—793no—
1046C2×C4⋊C4—796no—
1047C2×C4⋊C4—796no—
1048C2×C4⋊C4—796no—
1049C2×C4⋊C4—796no—
1050C2×C4⋊C4—796no—
1051C2×C4⋊C4—796no—
1052C2×C22⋊C4—796no—
1053C2×C22⋊C4—792no—
1054C2×C22⋊C4—796no—
1055C2×C22⋊C4—7912no—
1056C2×C22⋊C4—792no—
1057C2×C22⋊C4—796no—
1058C2×C22⋊C4—796no—
1059C2×C42—793no—
1060C2×C42—793no—
1061C2×C42—793no—
1062C2×C42—793no—
1063C2×C42—7912no—
1064C2×C42—793no—
1065C2×C42—796no—
1066C2×C42—793no—
1067C2×C42—793no—
1068C2×C42—793no—
1069C2×C42—793no—
1070C2×C42—793no—
1071C2×C42—791no—
1072C2×C42C22×D7913yes—
1073C24—793no—
1074C24—792no—
1075#41—24no—
1076#41—15812no—
1077#41—15812no—
1078#41—1584no—
1079C2×Q8—28no—
1080C2×Q8—31612no—
1081C2×Q8—798no—
1082C2×Q8—796no—
1083C2×Q8—7912no—
1084C2×Q8—793no—
1085C2×Q8—792no—
1086C2×Q8—791no—
1087C2×Q8—7912no—
1088C2×Q8—796no—
1089C2×Q8—15824no—
1090C2×Q8—1584no—
1091C2×Q8—15824no—
1092C2×Q8—15824no—
1093C2×Q8—1588no—
1094C2×Q8C23×D7911yescharacteristic
1095C2×Q8C23×D7916yes—
1096C2×Q8C23×D7916yes—
1097C2×Q8C23×D7911yescharacteristic
1098C2×D4—31612no—
1099C2×D4—796no—
1100C2×D4—796no—
1101C2×D4—792no—
1102C2×D4—796no—
1103C2×D4—796no—
1104C2×D4—791no—
1105C2×D4—793no—
1106C2×D4—1584no—
1107C2×D4—15812no—
1108C2×D4C23×D7911yescharacteristic
1109C2×D4C23×D7913yes—
1110C2×D4C23×D7916yes—
1111C22×C4—3166no—
1112C22×C4—793no—
1113C22×C4—793no—
1114C22×C4—793no—
1115C22×C4—791no—
1116C22×C4—793no—
1117C22×C4—793no—
1118C22×C4—793no—
1119C22×C4—796no—
1120C22×C4—793no—
1121C22×C4—791no—
1122C22×C4—791no—
1123C22×C4—792no—
1124C22×C4—796no—
1125C22×C4—793no—
1126C22×C4—796no—
1127C22×C4—793no—
1128C22×C4—793no—
1129C22×C4—793no—
1130C22×C4—793no—
1131C22×C4—796no—
1132C22×C4—796no—
1133C22×C4—15812no—
1134C22×C4—15824no—
1135C22×C4—15812no—
1136C22×C4C23×D7913yes—
1137C22×C4C23×D7913yes—
1138C22×C4C23×D7916yes—
1139C22×C4C23×D7913yes—
1140C4⋊C4—796no—
1141C4⋊C4—796no—
1142C4⋊C4—796no—
1143C4⋊C4—796no—
1144C4⋊C4—7912no—
1145C4⋊C4—796no—
1146C4⋊C4—796no—
1147C4⋊C4—796no—
1148C4⋊C4—796no—
1149C4⋊C4—796no—
1150C4⋊C4—796no—
1151C4⋊C4—7912no—
1152C4⋊C4—796no—
1153C4⋊C4—796no—
1154C4⋊C4—793no—
1155C4⋊C4—793no—
1156C4⋊C4—793no—
1157C4⋊C4—793no—
1158C4⋊C4—796no—
1159C4⋊C4—796no—
1160C4⋊C4—796no—
1161C4⋊C4—796no—
1162C4⋊C4—796no—
1163C4⋊C4—796no—
1164C4⋊C4C23×D7913yes—
1165C4⋊C4C23×D7913yes—
1166C4⋊C4C23×D7913yes—
1167C4⋊C4C23×D7913yes—
1168C4⋊C4C23×D7916yes—
1169C4⋊C4C23×D7916yes—
1170C4⋊C4C23×D7916yes—
1171C4⋊C4C23×D7916yes—
1172C4⋊C4C23×D7916yes—
1173C4⋊C4C23×D7916yes—
1174C22⋊C4—796no—
1175C22⋊C4—792no—
1176C22⋊C4—796no—
1177C22⋊C4—7912no—
1178C22⋊C4—792no—
1179C22⋊C4—796no—
1180C22⋊C4—796no—
1181C22⋊C4—796no—
1182C22⋊C4—796no—
1183C22⋊C4—792no—
1184C22⋊C4—792no—
1185C22⋊C4—796no—
1186C22⋊C4—796no—
1187C22⋊C4—7912no—
1188C22⋊C4—7912no—
1189C22⋊C4—792no—
1190C22⋊C4—792no—
1191C22⋊C4—796no—
1192C22⋊C4—796no—
1193C22⋊C4—796no—
1194C22⋊C4—796no—
1195C22⋊C4C23×D7916yes—
1196C22⋊C4C23×D7912yes—
1197C22⋊C4C23×D7916yes—
1198C22⋊C4C23×D79112yes—
1199C22⋊C4C23×D7912yes—
1200C22⋊C4C23×D7916yes—
1201C22⋊C4C23×D7916yes—
1202C42—791no—
1203C42—791no—
1204C42—791no—
1205C42—793no—
1206C42—793no—
1207C42—793no—
1208C42—793no—
1209C42—793no—
1210C42—793no—
1211C42—793no—
1212C42—793no—
1213C42—793no—
1214C42—7912no—
1215C42—7912no—
1216C42—7912no—
1217C42—796no—
1218C42—796no—
1219C42—796no—
1220C42C23×D7911yescharacteristic
1221C42C23×D7913yes—
1222C42C23×D7913yes—
1223C42C23×D7913yes—
1224C42C23×D79112yes—
1225C42C23×D7916yes—
1226C23—791no—
1227C23—792no—
1228C23—793no—
1229C23—1586no—
1230C23—1584no—
1231C23—1586no—
1232C23—1586no—
1233C23—1584no—
1234C23—1584no—
1235C23C24×D7912yes—
1236C23C24×D7913yes—
1237Q8—22no—
1238Q8—212no—
1239Q8—46no—
1240Q8—3166no—
1241Q8—31612no—
1242Q8—7912no—
1243Q8—15824no—
1244Q8—1584no—
1245Q8—1582no—
1246Q8—15812no—
1247Q8#41×D7914yes—
1248D4—22no—
1249D4—26no—
1250D4—46no—
1251D4—3166no—
1252D4—3166no—
1253D4—3166no—
1254D4—1584no—
1255D4—15812no—
1256D4—1582no—
1257D4—1586no—
1258C2×C4—26no—
1259C2×C4—212no—
1260C2×C4—26no—
1261C2×C4—43no—
1262C2×C4—3163no—
1263C2×C4—3163no—
1264C2×C4—3163no—
1265C2×C4—791no—
1266C2×C4—793no—
1267C2×C4—794no—
1268C2×C4—7912no—
1269C2×C4—793no—
1270C2×C4—791no—
1271C2×C4—791no—
1272C2×C4—792no—
1273C2×C4—796no—
1274C2×C4—796no—
1275C2×C4—793no—
1276C2×C4—15812no—
1277C2×C4—1586no—
1278C2×C4—1586no—
1279C2×C4—1582no—
1280C2×C4—1586no—
1281C2×C4—1582no—
1282C2×C4—15812no—
1283C2×C4—1586no—
1284C2×C4—15812no—
1285C2×C4—1584no—
1286C2×C4—15812no—
1287C2×C4—1586no—
1288C2×C4—1586no—
1289C2×C4—1586no—
1290C2×C4—15812no—
1291C2×C4—1586no—
1292C2×C4C24×D7913yes—
1293C2×C4C24×D7911yescharacteristic
1294C2×C4C24×D7911yescharacteristic
1295C2×C4C24×D7912yes—
1296C2×C4C24×D7916yes—
1297C2×C4C24×D7916yes—
1298C2×C4C24×D7913yes—
1299C2×C4C24×D7911yescharacteristic
1300C2×C4C24×D7913yes—
1301C22—22no—
1302C22—23no—
1303C22—23no—
1304C22—22no—
1305C22—23no—
1306C22—22no—
1307C22—31612no—
1308C22—3168no—
1309C22—792no—
1310C22—792no—
1311C22—792no—
1312C22—1582no—
1313C22—1583no—
1314C22—1583no—
1315C22—1582no—
1316C22—1583no—
1317C22—1582no—
1318C22C25×D7911yescharacteristic
1319C4—21no—
1320C4—26no—
1321C4—23no—
1322C4—22no—
1323C4—21no—
1324C4—23no—
1325C4—26no—
1326C4—796no—
1327C4—792no—
1328C4—1581no—
1329C4—1586no—
1330C4—1583no—
1331C4—1582no—
1332C4—1581no—
1333C4—1583no—
1334C4—1586no—
1335C4C2×#41×D7916yes—
1336C42−1+4×D7912yes—
1337C2—42no—
1338C2—43no—
1339C2—3162no—
1340C2—3163no—
1341C2—794no—
1342C2C22×#41×D7911yescharacteristic
1343C2C2×2−1+4×D7911yescharacteristic
1344C2#585×D7911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3518C2
hypercenter#3518D79
hypocenterC79C2×#3518
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3518

Complements

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

NH ≅ G/Ntype
1. #23777418C2semidirect
2. #23777417C2semidirect
3. #23777416C2semidirect
4. #23777415C2semidirect
5. #23777414C2semidirect
6. #23777413C2semidirect
7. #23777412C2semidirect
8. #23777411C2semidirect
9. #23777410C2semidirect
10. #23777409C2semidirect
11. #23777408C2semidirect
12. Q82×D79C2semidirect
13. #556×D79C2semidirect
14. #556×D79C2semidirect
15. #555×D79C2semidirect
16. D4×Q8×D79C2semidirect
17. #548×D79C2semidirect
18. #542×D79C2semidirect
19. #533×D79C2semidirect
20. #529×D79C2semidirect
21. #519×D79C2semidirect
22. C4×#41×D79C2semidirect
23. C79×#3518C2semidirect
26. Q8×Dic158C22semidirect
27. Q8×Dic158C22semidirect
28. Q8×Dic158C22semidirect
29. #19099293C22semidirect
30. #19099293C22semidirect
31. #19099287C22semidirect
32. #19099287C22semidirect
33. #19099286C22semidirect
34. #19099286C22semidirect
35. #19099285C22semidirect
36. #19099285C22semidirect
37. #19099284C22semidirect
38. #19099284C22semidirect
39. #19099284C22semidirect
40. #19099283C22semidirect
41. #19099283C22semidirect
42. #19099282C22semidirect
43. #19099282C22semidirect
44. #19099281C22semidirect
45. #19099281C22semidirect
46. #19099281C22semidirect
47. #19099280C22semidirect
48. #19099280C22semidirect
49. #19099280C22semidirect
50. #19099279C22semidirect
51. #19099278C22semidirect
52. #19099278C22semidirect
53. #19099277C22semidirect
54. #19099277C22semidirect
55. #19099276C22semidirect
56. #19099276C22semidirect
57. #19099275C22semidirect
58. Q8×D316C22semidirect
59. D4×Dic158C22semidirect
60. #19099228C22semidirect
61. Q8×C22⋊D79C22semidirect
62. #19099226C22semidirect
63. #19099225C22semidirect
64. #19099224C22semidirect
65. #19099223C22semidirect
66. #19099222C22semidirect
67. #19099221C22semidirect
68. #19099220C22semidirect
69. #19099219C22semidirect
70. #19099187C22semidirect
71. #19099186C22semidirect
72. #19099185C22semidirect
73. #19099184C22semidirect
74. #19099183C22semidirect
75. #19099182C22semidirect
76. #19099181C22semidirect
77. #19099180C22semidirect
78. #19099179C22semidirect
79. #19099178C22semidirect
80. #19099177C22semidirect
81. #19099120C22semidirect
82. #19099119C22semidirect
83. #19099118C22semidirect
84. #19099118C22semidirect
85. #19099117C22semidirect
86. #19099117C22semidirect
87. #19099116C22semidirect
88. #19099115C22semidirect
89. #19099115C22semidirect
93. #19099100C22semidirect
94. #19099099C22semidirect
95. #19099098C22semidirect
96. #19099097C22semidirect
97. #19099096C22semidirect
98. #19099095C22semidirect
99. #19099094C22semidirect
100. #19099093C22semidirect
101. #19099092C22semidirect
102. #19099091C22semidirect
103. #19099090C22semidirect
117. #19099041C22semidirect
118. #19099040C22semidirect
119. #19099040C22semidirect
120. #19099039C22semidirect
121. #19099039C22semidirect
122. #19099039C22semidirect
123. #19099039C22semidirect
124. #41×Dic79C22semidirect
125. C4×#11929625C22semidirect
126. C4×#11929625C22semidirect
127. C4×#11929624C22semidirect
128. #19099031C22semidirect
129. C4×#11929623C22semidirect
130. C4×#11929623C22semidirect
147. Q82×C79C22semidirect
148. #556×C79C22semidirect
149. #556×C79C22semidirect
150. #555×C79C22semidirect
151. D4×Q8×C79C22semidirect
152. #548×C79C22semidirect
153. #542×C79C22semidirect
154. #533×C79C22semidirect
155. #529×C79C22semidirect
156. #519×C79C22semidirect
157. C4×#41×C79C22semidirect
672. D79#3518direct (N × H)
684. #3518D79direct (N × H)
696. C79C2×#3518semidirect
704. Q82C2×D79semidirect
724. #556C2×D79semidirect
725. #556C2×D79semidirect
734. #555C2×D79semidirect
740. D4×Q8C2×D79semidirect
748. #548C2×D79semidirect
760. #542C2×D79semidirect
770. #533C2×D79semidirect
785. #529C2×D79semidirect
806. #519C2×D79semidirect
814. C4×#41C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237774182
#237774172
#237774162
#237774152
#237774142
#237774132
#237774122
#237774112
#237774102
#237774092
#237774082
Q82×D792
#556×D792
#555×D792
D4×Q8×D792
#548×D792
#542×D792
#533×D792
#529×D792
#519×D792
C4×#41×D792
C79×#35182
C2×#351879