Finite Group Databasebeta

← #35197376

Subgroups — #35197376

Order 20224.

11618 conjugacy classes of subgroups.

The subgroup lattice has 1220 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099400C211yesmaximal, characteristic, complemented
2C2×H(5,𝔽2)×D79C211yesmaximal, characteristic, complemented
3#23777194C211yesmaximal, characteristic, complemented
4#23777190C213yesmaximal, complemented
5#23777189C213yesmaximal, complemented
6#23777178C211yesmaximal, characteristic, complemented
7#23777175C213yesmaximal, complemented
8#23777174C211yesmaximal, characteristic, complemented
9#23777173C213yesmaximal, complemented
10#23777066C214yesmaximal, complemented
11#23777063C2112yesmaximal, complemented
12#23777057C214yesmaximal, complemented
13#23777030C2112yesmaximal, complemented
14#23776732C213yesmaximal, complemented
15#23776727C213yesmaximal, complemented
16C2×#19099131C213yesmaximal, complemented
17#535×D79C213yesmaximal, complemented
18#23776599C211yesmaximal, characteristic, complemented
19C79×#3500C211yesmaximal, characteristic, complemented
20#19099400—216no—
21C2×#14579209C2212yescomplemented
22C2×#14579209C2213yescomplemented
23C2×#14579207C2212yescomplemented
24C2×#14579207C2213yescomplemented
25C2×#14579207C2211yescharacteristic, complemented
26C2×#14579207C2216yescomplemented
27C2×#14579207C2213yescomplemented
28C2×#14579207C2211yescharacteristic, complemented
29C2×#14579206C2216yescomplemented
30C2×#14579206C2213yescomplemented
31H(5,𝔽2)×D79—216no—
32C22×#11929625C2213yescomplemented
33C22×#11929625C2212yescomplemented
34C2×#41×D79C2211yescharacteristic
35C2×#41×D79C2212yescomplemented
36C2×#41×D79C2213yescomplemented
37C2×#41×D79C2213yescomplemented
38C2×#41×D79C2216yescomplemented
39C22×D4×D79C2216yescomplemented
40C22×D4×D79C2213yescomplemented
41#19099235C2214yescomplemented
42#19099234C22112yescomplemented
43#19099232C2214yescomplemented
44#19099231C22112yescomplemented
45#19099224C2214yescomplemented
46#19099223C22112yescomplemented
47#19099221C22112yescomplemented
48#19099206C22112yescomplemented
49#19099205C22124yescomplemented
50#19099204C22112yescomplemented
51#19099203C22124yescomplemented
52#19099201C22112yescomplemented
53D4×D316C22112yescomplemented
54D4×D316C22112yescomplemented
55#19099197C22124yescomplemented
56#19099197C22112yescomplemented
57D4×C22⋊D79C22112yescomplemented
58#19099195C22124yescomplemented
59#19099143C22112yescomplemented
60#19099140C22112yescomplemented
61#19099138C2213yescomplemented
62#19099138C2213yescomplemented
63#19099137C2213yescomplemented
64#19099133C2211yescharacteristic, complemented
65#19099133C2213yescomplemented
66#19099132C2213yescomplemented
67#19099132C2213yescomplemented
68#19099131C22112yescomplemented
69#19099131C2216yescomplemented
70#19099131C2213yescomplemented
71#19099131C2213yescomplemented
72#19099131C22112yescomplemented
73#19099131C2216yescomplemented
74#19099131C2216yescomplemented
75#19099130C2213yescomplemented
76#19099129C22112yescomplemented
77#19099128C22112yescomplemented
78#19099127C2213yescomplemented
79#19099127C2213yescomplemented
80#19099126C2213yescomplemented
81#19099126C2213yescomplemented
82#19099124C22112yescomplemented
83#19099121C22112yescomplemented
84#19099114C2216yescomplemented
85#19099113C2213yescomplemented
86#19099112C2216yescomplemented
87#19099109C2213yescomplemented
88#19099109C2213yescomplemented
89C2×#14579158C2213yescomplemented
90C2×#14579157C2213yescomplemented
91#127×D79C2216yescomplemented
92C2×#14579150C2213yescomplemented
93#124×D79C2216yescomplemented
94#19099076C22112yescomplemented
95#19099072C22112yescomplemented
96#19099072C22112yescomplemented
97#19099071C22112yescomplemented
98C2×#14579134C22112yescomplemented
99#121×D79C22112yescomplemented
100C2×#14579131C22112yescomplemented
101#120×D79C22112yescomplemented
102#19099045C2212yescomplemented
103#19099042C2216yescomplemented
104#19099039C2212yescomplemented
105#19099035C2216yescomplemented
106#41×Dic79C2211yescharacteristic, complemented
107C4×#11929624C2213yescomplemented
108#19099031C2213yescomplemented
109C2×#14579118C2213yescomplemented
110#117×D79C2213yescomplemented
111C2×2−1+4×C79C2211yescharacteristic, complemented
112C2×H(5,𝔽2)×C79C2211yescharacteristic, complemented
113#548×C79C2214yescomplemented
114#546×C79C22112yescomplemented
115#536×C79C2213yescomplemented
116#535×C79C2213yescomplemented
117#532×C79C2213yescomplemented
118C2×#124×C79C2213yescomplemented
119C4×#41×C79C2211yescharacteristic, complemented
120C24×D79C2316yes—
121#14579209—224no—
122#14579209—216no—
123#14579207—28no—
124#14579207—28no—
125#14579207—216no—
126#14579207—224no—
127#14579207—224no—
128#14579207—248no—
129#14579206—224no—
130#14579206—248no—
131C2×#11929625—216no—
132C2×#11929625—224no—
133C2×#11929625C2313yes—
134C2×#11929625C2313yes—
135C2×#11929625C2312yes—
136C2×#11929625C2316yes—
137C2×#11929625C2311yescharacteristic
138C2×#11929625C2316yescomplemented
139C2×#11929625C2312yescomplemented
140C2×#11929625C2316yescomplemented
141C2×#11929625C2316yescomplemented
142C2×#11929624C2313yes—
143C2×#11929624C2316yes—
144C2×#11929624C2316yes—
145C2×#11929624C2316yes—
146C2×#11929624C2313yes—
147C2×#11929624C23112yescomplemented
148C2×#11929624C2316yescomplemented
149C2×#11929624C2313yescomplemented
150C2×#11929623C2316yes—
151C2×#11929623C2316yes—
152C2×#11929623C2313yes—
153C2×#11929623C2311yescharacteristic
154C2×#11929623C2313yes—
155C2×#11929623C2316yescomplemented
156#41×D79—248no—
157#41×D79—216no—
158#41×D79—224no—
159#41×D79—224no—
160#41×D79D4116yescomplemented
161C2×Q8×D79C2311yescharacteristic
162C2×Q8×D79C2311yescharacteristic
163C2×Q8×D79C2313yescomplemented
164C2×Q8×D79C2316yescomplemented
165C22×D316C2316yes—
166C22×D316C2316yes—
167C22×D316C2313yes—
168C22×D316C2316yescomplemented
169C22×D316C2313yescomplemented
170C22×D316C23112yescomplemented
171C22×C22⋊D79C23112yes—
172C22×C22⋊D79C2316yes—
173C22×C22⋊D79C23112yescomplemented
174C2×D4×D79—248no—
175C2×D4×D79—224no—
176C2×D4×D79C23112yes—
177C2×D4×D79C2316yes—
178C2×D4×D79C2316yes—
179C2×D4×D79C2316yes—
180C2×D4×D79C2316yes—
181C2×D4×D79C2316yes—
182C2×D4×D79C2316yes—
183C2×D4×D79C2313yes—
184C2×D4×D79C2316yes—
185C2×D4×D79C2313yes—
186C2×D4×D79C23112yescomplemented
187C2×D4×D79C2316yescomplemented
188C2×D4×D79C2313yescomplemented
189C2×D4×D79C23124yescomplemented
190C22×C4×D79C2316yes—
191C22×C4×D79C2313yes—
192C22×C4×D79C2316yescomplemented
193C22×C4×D79C2316yescomplemented
194#14579161C2311yescharacteristic, complemented
195#14579159C2313yescomplemented
196#14579159C2311yescharacteristic, complemented
197#14579158C23112yescomplemented
198#14579158C2316yescomplemented
199#14579158C2313yescomplemented
200#14579157C23124yescomplemented
201#14579157C23112yescomplemented
202#14579157C2313yescomplemented
203#14579157C2316yescomplemented
204#14579157C2313yescomplemented
205#14579150C2316yescomplemented
206#14579150C2313yescomplemented
207#14579150C2313yescomplemented
208#14579150C23112yescomplemented
209#14579149C2313yescomplemented
210#14579149C2313yescomplemented
211#14579148C2313yescomplemented
212#14579148C2311yescharacteristic, complemented
213#14579147C23124yescomplemented
214#14579146C23112yes—
215#14579146C23112yescomplemented
216#14579144C23112yescomplemented
217#14579143C2314yes—
218#14579143C23112yescomplemented
219#14579139C23112yescomplemented
220#14579139C23112yescomplemented
221#14579138C2314yescomplemented
222#14579138C23112yescomplemented
223#14579137C23112yescomplemented
224#14579136C23124yescomplemented
225#14579136C23112yescomplemented
226#14579136C23112yescomplemented
227#14579135C23112yescomplemented
228#14579135C23112yescomplemented
229#14579135C23112yescomplemented
230#14579134C23112yescomplemented
231#14579134C23112yescomplemented
232#14579134C23124yescomplemented
233#14579134C23124yescomplemented
234#14579134C23124yescomplemented
235#14579134C23124yescomplemented
236#14579133C23112yescomplemented
237#14579133C23112yescomplemented
238#14579133C23112yescomplemented
239#14579133C23112yescomplemented
240#14579132C23112yescomplemented
241#14579131C23124yes—
242#14579131C23112yes—
243#14579131C23112yescomplemented
244#14579131C23124yescomplemented
245#14579131C23112yescomplemented
246#14579131C23124yescomplemented
247#14579131C23112yescomplemented
248#14579130C23112yescomplemented
249#14579129C23112yes—
250#14579129C23112yescomplemented
251#14579129C23112yescomplemented
252#14579129C23112yescomplemented
253Q8×Dic79C2312yescomplemented
254C4×Dic158C2316yescomplemented
255#14579126C2316yescomplemented
256C4×D316C2316yescomplemented
257C4×D316C23112yescomplemented
258D4×Dic79C2316yescomplemented
259#14579123C2316yescomplemented
260#14579123C23124yescomplemented
261C4×C22⋊D79C23112yescomplemented
262C4×C22⋊D79C23112yescomplemented
263C4×C22⋊D79C23112yescomplemented
264(C22⋊D79)⋊C4C23112yescomplemented
265(C22⋊D79)⋊C4C23124yescomplemented
266#14579120C2313yescomplemented
267#14579119C2316yes—
268#14579118C2313yes—
269#14579118C2311yescharacteristic
270#14579118C2316yes—
271#14579118C2313yescomplemented
272#14579118C2313yescomplemented
273#14579118C2316yescomplemented
274#14579117C2316yescomplemented
275C2×Dic79⋊C4C2316yescomplemented
276C4⋊C4×D79C2316yescomplemented
277C2×(C2×D79)⋊C4C2316yes—
278C2×(C2×D79)⋊C4C23112yescomplemented
279C22⋊C4×D79C2316yes—
280C22⋊C4×D79C23124yescomplemented
281C2×C4×Dic79C2313yescomplemented
282C42×D79C2316yescomplemented
2832−1+4×C79—28no—
284H(5,𝔽2)×C79—28no—
285C2×#41×C79C2312yes—
286C2×#41×C79C2313yes—
287C2×#41×C79C2311yescharacteristic
288C2×#41×C79C2316yescomplemented
289C2×#41×C79C2313yescomplemented
290C22×Q8×C79C2313yescomplemented
291C22×Q8×C79C2312yescomplemented
292C22×D4×C79C2316yes—
293C22×D4×C79C2313yes—
294C4⋊Q8×C79C2313yescomplemented
295#127×C79C2313yescomplemented
296#124×C79C23112yescomplemented
297#124×C79C2313yescomplemented
298#124×C79C2316yescomplemented
299#124×C79C2311yescharacteristic, complemented
300#123×C79C23112yescomplemented
301C22⋊Q8×C79C23112yescomplemented
302#121×C79C23112yescomplemented
303#121×C79C23112yescomplemented
304#120×C79C23112yescomplemented
305C4×Q8×C79C2312yescomplemented
306C4×D4×C79C2316yescomplemented
307C4×D4×C79C23112yescomplemented
308#117×C79C2313yescomplemented
309C2×C22⋊C4×C79C23112yescomplemented
310C2×C42×C79C2313yescomplemented
311C23×D79—224no—
312C23×D79—812no—
313C23×D79C2416yes—
314C23×D79C24112yes—
315C23×D79C2416yes—
316C23×D79C2416yes—
317C23×D79C2416yes—
318C23×D79C2413yes—
319#11929625—224no—
320#11929625—212no—
321#11929625—224no—
322#11929625—212no—
323#11929625—224no—
324#11929625—224no—
325#11929625—28no—
326#11929625—28no—
327#11929625C2×D418yescomplemented
328#11929624—224no—
329#11929624—224no—
330#11929624—224no—
331#11929624—224no—
332#11929624—212no—
333#11929624—212no—
334#11929624—248no—
335#11929624C2×D4124yescomplemented
336#11929623—224no—
337#11929623—224no—
338#11929623—24no—
339#11929623—212no—
340#11929623—224no—
341#11929623C2×D4124yescomplemented
342C2×Dic158C2412yes—
343C2×Dic158C2411yescharacteristic
344C2×Dic158C2411yescharacteristic
345C2×Dic158C2416yes—
346C2×Dic158C2413yes—
347Q8×D79—24no—
348Q8×D79—212no—
349Q8×D79—224no—
350Q8×D79C2×D418yescomplemented
351C2×D316—224no—
352C2×D316—224no—
353C2×D316—224no—
354C2×D316—212no—
355C2×D316—212no—
356C2×D316—812no—
357C2×D316C2416yes—
358C2×D316C2416yes—
359C2×D316C2416yes—
360C2×D316C2413yes—
361C2×D316C2416yes—
362C2×D316C2413yes—
363C2×D316C24112yes—
364C2×D316C24124yes—
365C2×D316C24112yes—
366C2×D316C2413yes—
367C2×C22⋊D79—224no—
368C2×C22⋊D79—248no—
369C2×C22⋊D79—812no—
370C2×C22⋊D79C2412yes—
371C2×C22⋊D79C2416yes—
372C2×C22⋊D79C2416yes—
373C2×C22⋊D79C2416yes—
374C2×C22⋊D79C24112yes—
375C2×C22⋊D79C2416yes—
376C2×C22⋊D79C2416yes—
377C2×C22⋊D79C24124yes—
378C2×C22⋊D79C24112yes—
379C2×C22⋊D79C24112yes—
380C2×C22⋊D79C2416yes—
381D4×D79—224no—
382D4×D79—212no—
383D4×D79—224no—
384D4×D79—212no—
385D4×D79—224no—
386D4×D79—224no—
387D4×D79—224no—
388D4×D79—224no—
389D4×D79—224no—
390D4×D79—224no—
391D4×D79—248no—
392D4×D79—248no—
393D4×D79—824no—
394D4×D79C2×D4124yescomplemented
395C22×Dic79C2416yes—
396C22×Dic79C2412yes—
397C22×Dic79C2416yes—
398C22×Dic79C2413yes—
399C2×C4×D79—224no—
400C2×C4×D79—224no—
401C2×C4×D79—224no—
402C2×C4×D79C2×D4124yescomplemented
403C2×C4×D79C2412yes—
404C2×C4×D79C2416yes—
405C2×C4×D79C24112yes—
406C2×C4×D79C2416yes—
407C2×C4×D79C2416yes—
408C2×C4×D79C2416yes—
409C2×C4×D79C2416yes—
410C2×C4×D79C24112yes—
411C2×C4×D79C2411yescharacteristic
412C2×C4×D79C2413yes—
413C2×C4×D79C2413yes—
414C2×C4×D79C2413yes—
415C4⋊Dic79C2416yes—
416C4⋊Dic79C2414yes—
417Dic79⋊C4C2416yes—
418Dic79⋊C4C2412yes—
419Dic79⋊C4C2416yes—
420Dic79⋊C4C2416yes—
421Dic79⋊C4C24112yes—
422Dic79⋊C4C2414yes—
423C22⋊Dic79C2416yes—
424C22⋊Dic79C24112yes—
425C22⋊Dic79C2414yes—
426(C2×D79)⋊C4C2416yes—
427(C2×D79)⋊C4C24112yes—
428(C2×D79)⋊C4C24124yes—
429(C2×D79)⋊C4C2412yes—
430(C2×D79)⋊C4C2416yes—
431(C2×D79)⋊C4C2416yes—
432(C2×D79)⋊C4C24112yes—
433(C2×D79)⋊C4C24112yes—
434(C2×D79)⋊C4C24112yes—
435C4×Dic79C2413yes—
436C4×Dic79C24112yes—
437C4×Dic79C2411yescharacteristic
438C4×Dic79C2416yes—
439C24×C79C2416yes—
440#41×C79—28no—
441#41×C79—224no—
442#41×C79—212no—
443#41×C79—212no—
444#41×C79C2×D418yescomplemented
445C2×Q8×C79—28no—
446C2×Q8×C79—212no—
447C2×Q8×C79C2411yescharacteristic
448C2×Q8×C79C2416yes—
449C2×Q8×C79C2413yes—
450C2×Q8×C79C2411yescharacteristic
451C2×D4×C79—224no—
452C2×D4×C79—212no—
453C2×D4×C79C2416yes—
454C2×D4×C79C2416yes—
455C2×D4×C79C2413yes—
456C2×D4×C79C2411yescharacteristic
457C2×D4×C79C2416yes—
458C2×D4×C79C24112yes—
459C2×D4×C79C2413yes—
460C22×C4×C79C2416yes—
461C22×C4×C79C2416yes—
462C22×C4×C79C2416yes—
463C22×C4×C79C2416yes—
464C22×C4×C79C2413yes—
465C4⋊C4×C79C2416yes—
466C4⋊C4×C79C24112yes—
467C22⋊C4×C79C24112yes—
468C22⋊C4×C79C24124yes—
469C22⋊C4×C79C2416yes—
470C22⋊C4×C79C2414yes—
471C42×C79C2411yescharacteristic
472C42×C79C2413yes—
473C42×C79C2416yes—
474C23×C79—212no—
475C23×C79—412no—
476C23×C79C2516yes—
477C23×C79C2512yes—
478C23×C79C2513yes—
479C22×D79—212no—
480C22×D79—212no—
481C22×D79—212no—
482C22×D79—212no—
483C22×D79—224no—
484C22×D79—46no—
485C22×D79—412no—
486C22×D79—412no—
487C22×D79—424no—
488C22×D79—412no—
489C22×D79—412no—
490C22×D79—848no—
491C22×D79C22×D4112yes—
492C22×D79C2516yes—
493C22×D79C2516yes—
494C22×D79C2511yescharacteristic
495C22×D79C2513yes—
496Q8×C79—212no—
497Q8×C79—26no—
498Q8×C79—22no—
499Q8×C79C22×D414yes—
500D4×C79—212no—
501D4×C79—212no—
502D4×C79—212no—
503D4×C79—26no—
504D4×C79—22no—
505D4×C79—412no—
506D4×C79C22×D4112yes—
507C2×C4×C79—212no—
508C2×C4×C79—212no—
509C2×C4×C79—212no—
510C2×C4×C79—46no—
511C2×C4×C79C22×D4112yes—
512C2×C4×C79C2516yes—
513C2×C4×C79C2516yes—
514C2×C4×C79C2512yes—
515C2×C4×C79C2512yes—
516C2×C4×C79C2511yescharacteristic
517C2×C4×C79C2513yes—
518C22⋊D79—212no—
519C22⋊D79—212no—
520C22⋊D79—212no—
521C22⋊D79—24no—
522C22⋊D79—224no—
523C22⋊D79—212no—
524C22⋊D79—212no—
525C22⋊D79—412no—
526C22⋊D79—424no—
527C22⋊D79—412no—
528C22⋊D79C22×D4124yes—
529C2×Dic79—24no—
530C2×Dic79—212no—
531C2×Dic79—46no—
532C2×Dic79C22×D4112yes—
533C2×Dic79C2512yes—
534C2×Dic79C2516yes—
535C2×Dic79C2512yes—
536C2×Dic79C2512yes—
537C2×Dic79C2513yes—
538C2×Dic79C2511yescharacteristic
539D316—212no—
540D316—224no—
541D316—212no—
542D316—212no—
543D316—26no—
544D316—212no—
545D316—26no—
546D316—424no—
547D316—412no—
548D316C22×D4112yes—
549C4×D79—24no—
550C4×D79—212no—
551C4×D79—212no—
552C4×D79—212no—
553C4×D79—212no—
554C4×D79—212no—
555C4×D79—224no—
556C4×D79—412no—
557C4×D79C22×D4112yes—
558C4×D79C22×D4112yes—
559C4×D79C22×D414yes—
560C4×D79C22×D4112yes—
561Dic158—22no—
562Dic158—22no—
563Dic158—212no—
564Dic158—24no—
565Dic158C22×D4112yes—
566C22×C79—26no—
567C22×C79—22no—
568C22×C79—26no—
569C22×C79—24no—
570C22×C79—212no—
571C22×C79—812no—
572C22×C79C23×D416yes—
573C22×C79C2611yescharacteristic
574C2×D79—22no—
575C2×D79—26no—
576C2×D79—26no—
577C2×D79—26no—
578C2×D79—212no—
579C2×D79—212no—
580C2×D79—412no—
581C2×D79—424no—
582C2×D79—812no—
583C2×D79—824no—
584C2×D79—812no—
585C2×D79—812no—
586C2×D79C23×D416yes—
587C2×D79C23×D412yes—
588C4×C79—22no—
589C4×C79—26no—
590C4×C79—22no—
591C4×C79—26no—
592C4×C79C23×D416yes—
593C4×C79C23×D412yes—
594Dic79—22no—
595Dic79—22no—
596Dic79—26no—
597Dic79—22no—
598Dic79C23×D416yes—
599Dic79C23×D412yes—
600#62852—791nomaximal, Sylow
601C2×C79—26no—
602C2×C79—46no—
603C2×C79—42no—
604C2×C79C24×D411yescharacteristic
605C2×C79H(7,𝔽2)12yes—
606D79—22no—
607D79—26no—
608D79—46no—
609D79—46no—
610C2×#585—791no—
611C22×H(5,𝔽2)—791no—
612#3500—791no—
613#3500—793no—
614#3500—793no—
615#3500D7911yescharacteristic, complemented
616#3498—791no—
617#3498—793no—
618#3498—793no—
619#3498—791no—
620#3488—794no—
621#3488—7912no—
622#3487—794no—
623#3484—7912no—
624#3449—793no—
625#3449—793no—
626C2×#535—793no—
627C2×#535—793no—
628#3428—791no—
629C79#6285211yescharacteristic, complemented, Sylow
630#585—15816no—
631C2×2−1+4—792no—
632C2×2−1+4—793no—
633C2×2−1+4C2×D7911yescharacteristic, complemented
634C2×H(5,𝔽2)—792no—
635C2×H(5,𝔽2)—793no—
636C2×H(5,𝔽2)—791no—
637C2×H(5,𝔽2)—791no—
638C2×H(5,𝔽2)—796no—
639C2×H(5,𝔽2)—793no—
640C2×H(5,𝔽2)—796no—
641C2×H(5,𝔽2)—793no—
642C2×H(5,𝔽2)—15816no—
643C2×H(5,𝔽2)C2×D7911yescharacteristic, complemented
644C22×#41—791no—
645C22×#41—793no—
646C22×#41—792no—
647C22×#41—793no—
648C22×#41—796no—
649C22×#41—793no—
650C22×#41—792no—
651C23×D4—793no—
652C23×D4—796no—
653#550—794no—
654#550—7912no—
655#550—794no—
656#550—7912no—
657#548—794no—
658#548—7912no—
659#548—7912no—
660#548C2×D7914yescomplemented
661#546—7912no—
662#546—7912no—
663#546—7924no—
664#546—7912no—
665#546—7924no—
666#546C2×D79112yescomplemented
667D42—7912no—
668D42—7924no—
669D42—7912no—
670D42—7924no—
671D42—7912no—
672D42—7912no—
673#537—7912no—
674#537—7912no—
675#536—793no—
676#536—793no—
677#536—793no—
678#536—791no—
679#536—793no—
680#536C2×D7913yescomplemented
681#535—793no—
682#535—793no—
683#535—793no—
684#535—793no—
685#535—793no—
686#535—796no—
687#535—793no—
688#535—7912no—
689#535—7912no—
690#535—796no—
691#535—796no—
692#535—793no—
693#535—7912no—
694#535—7912no—
695#535—793no—
696#535—793no—
697#535C2×D7913yescomplemented
698#534—7912no—
699#534—7912no—
700#532—793no—
701#532—793no—
702#532—796no—
703#532—796no—
704#532—793no—
705#532C2×D7913yescomplemented
706C2×#127—793no—
707C2×#127—796no—
708C2×#127—793no—
709C2×#124—793no—
710C2×#124—796no—
711C2×#124C2×D7913yescomplemented
712#525—7912no—
713#525—7912no—
714#525—7912no—
715#525—7912no—
716C2×#121—7912no—
717C2×#121—7912no—
718C2×#120—7912no—
719C2×#120—7912no—
720#520—792no—
721#520—796no—
722#519—792no—
723#518—796no—
724C4×#41—791no—
725C4×#41—793no—
726C4×#41—793no—
727C4×#41C2×D7911yescharacteristic, complemented
728C2×#117—793no—
729C2×#117—793no—
730C25—796no—
7312−1+4—28no—
7322−1+4—15816no—
7332−1+4—15824no—
734H(5,𝔽2)—28no—
735H(5,𝔽2)—15848no—
736H(5,𝔽2)—15824no—
737H(5,𝔽2)—15848no—
738H(5,𝔽2)—15816no—
739H(5,𝔽2)—15824no—
740H(5,𝔽2)—15824no—
741H(5,𝔽2)—1588no—
742H(5,𝔽2)—1588no—
743C2×#41—7916no—
744C2×#41—791no—
745C2×#41—796no—
746C2×#41—793no—
747C2×#41—793no—
748C2×#41—792no—
749C2×#41—796no—
750C2×#41—796no—
751C2×#41—796no—
752C2×#41—792no—
753C2×#41—793no—
754C2×#41—796no—
755C2×#41—793no—
756C2×#41—791no—
757C2×#41—796no—
758C2×#41—796no—
759C2×#41—793no—
760C2×#41—796no—
761C2×#41—796no—
762C2×#41—793no—
763C2×#41—796no—
764C2×#41—793no—
765C2×#41—7912no—
766C2×#41—796no—
767C2×#41—15824no—
768C2×#41—15824no—
769C2×#41—15824no—
770C2×#41—15816no—
771C2×#41—15816no—
772C2×#41—15848no—
773C2×#41C22×D7913yes—
774C2×#41C22×D7912yes—
775C2×#41C22×D7911yescharacteristic
776C2×#41C22×D7913yescomplemented
777C2×#41C22×D7916yescomplemented
778C22×Q8—791no—
779C22×Q8—791no—
780C22×Q8—793no—
781C22×Q8—796no—
782C22×Q8C22×D7913yescomplemented
783C22×Q8C22×D7912yescomplemented
784C22×D4—793no—
785C22×D4—7912no—
786C22×D4—796no—
787C22×D4—7912no—
788C22×D4—7924no—
789C22×D4—796no—
790C22×D4—796no—
791C22×D4—796no—
792C22×D4—793no—
793C22×D4—796no—
794C22×D4—793no—
795C22×D4—796no—
796C22×D4—7912no—
797C22×D4—796no—
798C22×D4—7912no—
799C22×D4—796no—
800C22×D4—796no—
801C22×D4—7912no—
802C22×D4—796no—
803C22×D4—793no—
804C22×D4—793no—
805C22×D4—796no—
806C22×D4—796no—
807C22×D4—15824no—
808C22×D4—15848no—
809C22×D4C22×D7913yes—
810C22×D4C22×D7916yes—
811C23×C4—793no—
812C23×C4—796no—
813C23×C4—796no—
814C23×C4—796no—
815C4⋊Q8—791no—
816C4⋊Q8—793no—
817C4⋊Q8—791no—
818C4⋊Q8C22×D7913yescomplemented
819#127—793no—
820#127—793no—
821#127—796no—
822#127—7912no—
823#127—7924no—
824#127—796no—
825#127—793no—
826#127—7912no—
827#127C22×D7913yescomplemented
828#124—793no—
829#124—796no—
830#124—7912no—
831#124—793no—
832#124—793no—
833#124—791no—
834#124—7924no—
835#124—793no—
836#124—793no—
837#124C22×D7916yescomplemented
838#124C22×D7913yescomplemented
839#124C22×D79112yescomplemented
840#124C22×D7911yescharacteristic, complemented
841#123—7912no—
842#123—7912no—
843#123—7912no—
844#123—794no—
845#123—7912no—
846#123C22×D79112yescomplemented
847C22⋊Q8—7912no—
848C22⋊Q8—7912no—
849C22⋊Q8—7912no—
850C22⋊Q8—794no—
851C22⋊Q8—7912no—
852C22⋊Q8C22×D79112yescomplemented
853#121—7912no—
854#121—7912no—
855#121—7912no—
856#121—7912no—
857#121—7912no—
858#121—7912no—
859#121—7912no—
860#121—7912no—
861#121—7912no—
862#121—7912no—
863#121—7924no—
864#121—7924no—
865#121—7912no—
866#121—7924no—
867#121—7924no—
868#121—7912no—
869#121—7924no—
870#121C22×D79112yescomplemented
871#121C22×D79112yescomplemented
872#120—7912no—
873#120—7912no—
874#120—7912no—
875#120—7912no—
876#120—7912no—
877#120—7924no—
878#120—7912no—
879#120—7912no—
880#120—7924no—
881#120—7924no—
882#120—7912no—
883#120—7912no—
884#120C22×D79112yescomplemented
885C4×Q8—792no—
886C4×Q8—796no—
887C4×Q8—796no—
888C4×Q8C22×D7912yescomplemented
889C4×D4—796no—
890C4×D4—7912no—
891C4×D4—7912no—
892C4×D4—7912no—
893C4×D4—796no—
894C4×D4—7924no—
895C4×D4—7912no—
896C4×D4—7924no—
897C4×D4—796no—
898C4×D4—7912no—
899C4×D4C22×D7916yescomplemented
900C4×D4C22×D79112yescomplemented
901#117—793no—
902#117—796no—
903#117—796no—
904#117—793no—
905#117—791no—
906#117—793no—
907#117—793no—
908#117—796no—
909#117—796no—
910#117C22×D7913yescomplemented
911C2×C4⋊C4—796no—
912C2×C4⋊C4—796no—
913C2×C22⋊C4—796no—
914C2×C22⋊C4—7912no—
915C2×C22⋊C4—796no—
916C2×C22⋊C4—7924no—
917C2×C22⋊C4C22×D79112yescomplemented
918C2×C42—793no—
919C2×C42—796no—
920C2×C42C22×D7913yescomplemented
921C24—793no—
922C24—7912no—
923C24—796no—
924C24—796no—
925C24—796no—
926C24—796no—
927C24—63212no—
928C24—15824no—
929C24C23×D7916yes—
930#41—28no—
931#41—224no—
932#41—212no—
933#41—212no—
934#41—798no—
935#41—7924no—
936#41—7924no—
937#41—15824no—
938#41—15824no—
939#41—15848no—
940#41—15824no—
941#41—15824no—
942#41—15824no—
943#41—1584no—
944#41—15824no—
945#41—15812no—
946#41—15812no—
947#41—15824no—
948#41—15812no—
949#41—15824no—
950#41—15824no—
951#41—15824no—
952#41—15824no—
953#41—1588no—
954#41—1588no—
955#41—15812no—
956#41—15812no—
957#41D4×D7918yescomplemented
958C2×Q8—28no—
959C2×Q8—212no—
960C2×Q8—798no—
961C2×Q8—793no—
962C2×Q8—792no—
963C2×Q8—796no—
964C2×Q8—791no—
965C2×Q8—791no—
966C2×Q8—1584no—
967C2×Q8—15812no—
968C2×Q8—15824no—
969C2×Q8C23×D7916yes—
970C2×Q8C23×D7913yes—
971C2×Q8C23×D7911yescharacteristic
972C2×Q8C23×D7911yescharacteristic
973C2×D4—224no—
974C2×D4—212no—
975C2×D4—7912no—
976C2×D4—7924no—
977C2×D4—7912no—
978C2×D4—796no—
979C2×D4—7924no—
980C2×D4—792no—
981C2×D4—796no—
982C2×D4—796no—
983C2×D4—796no—
984C2×D4—796no—
985C2×D4—7912no—
986C2×D4—796no—
987C2×D4—7924no—
988C2×D4—7912no—
989C2×D4—793no—
990C2×D4—796no—
991C2×D4—7912no—
992C2×D4—796no—
993C2×D4—796no—
994C2×D4—796no—
995C2×D4—793no—
996C2×D4—793no—
997C2×D4—63212no—
998C2×D4—63224no—
999C2×D4—63212no—
1000C2×D4—15824no—
1001C2×D4—15824no—
1002C2×D4—15824no—
1003C2×D4—15812no—
1004C2×D4—15824no—
1005C2×D4—15824no—
1006C2×D4—15824no—
1007C2×D4—15812no—
1008C2×D4—15824no—
1009C2×D4—15848no—
1010C2×D4—15824no—
1011C2×D4—15848no—
1012C2×D4—15824no—
1013C2×D4—15824no—
1014C2×D4—15848no—
1015C2×D4—15824no—
1016C2×D4—15824no—
1017C2×D4—15812no—
1018C2×D4—15812no—
1019C2×D4C23×D7916yes—
1020C2×D4C23×D7916yes—
1021C2×D4C23×D7916yes—
1022C2×D4C23×D7913yes—
1023C2×D4C23×D7911yescharacteristic
1024C2×D4C23×D79112yes—
1025C2×D4C23×D7913yes—
1026C22×C4—796no—
1027C22×C4—7912no—
1028C22×C4—793no—
1029C22×C4—793no—
1030C22×C4—793no—
1031C22×C4—793no—
1032C22×C4—791no—
1033C22×C4—7924no—
1034C22×C4—796no—
1035C22×C4—792no—
1036C22×C4—796no—
1037C22×C4—7912no—
1038C22×C4—796no—
1039C22×C4—796no—
1040C22×C4—796no—
1041C22×C4—796no—
1042C22×C4—792no—
1043C22×C4—15824no—
1044C22×C4—15824no—
1045C22×C4—15824no—
1046C22×C4C23×D7916yes—
1047C22×C4C23×D7916yes—
1048C22×C4C23×D7916yes—
1049C22×C4C23×D7916yes—
1050C22×C4C23×D7913yes—
1051C4⋊C4—796no—
1052C4⋊C4—792no—
1053C4⋊C4—796no—
1054C4⋊C4—796no—
1055C4⋊C4—794no—
1056C4⋊C4—7912no—
1057C4⋊C4—796no—
1058C4⋊C4—794no—
1059C4⋊C4C23×D7916yes—
1060C4⋊C4C23×D79112yes—
1061C22⋊C4—7912no—
1062C22⋊C4—796no—
1063C22⋊C4—794no—
1064C22⋊C4—796no—
1065C22⋊C4—792no—
1066C22⋊C4—7924no—
1067C22⋊C4—7912no—
1068C22⋊C4—7912no—
1069C22⋊C4—796no—
1070C22⋊C4—796no—
1071C22⋊C4—7912no—
1072C22⋊C4—7912no—
1073C22⋊C4C23×D79124yes—
1074C22⋊C4C23×D7916yes—
1075C22⋊C4C23×D79112yes—
1076C22⋊C4C23×D7914yes—
1077C42—793no—
1078C42—791no—
1079C42—7912no—
1080C42—796no—
1081C42C23×D7913yes—
1082C42C23×D7911yescharacteristic
1083C42C23×D7916yes—
1084C23—212no—
1085C23—412no—
1086C23—3166no—
1087C23—31612no—
1088C23—31612no—
1089C23—31612no—
1090C23—31612no—
1091C23—31624no—
1092C23—7912no—
1093C23—791no—
1094C23—793no—
1095C23—796no—
1096C23—796no—
1097C23—63248no—
1098C23—15812no—
1099C23—15812no—
1100C23—15824no—
1101C23—15812no—
1102C23—15812no—
1103C23C24×D7916yes—
1104C23C24×D7912yes—
1105C23C24×D7913yes—
1106Q8—212no—
1107Q8—26no—
1108Q8—22no—
1109Q8—7912no—
1110Q8—15812no—
1111Q8—1584no—
1112Q8—1582no—
1113Q8—1582no—
1114Q8C2×D4×D7914yes—
1115D4—212no—
1116D4—212no—
1117D4—212no—
1118D4—26no—
1119D4—22no—
1120D4—412no—
1121D4—31612no—
1122D4—31624no—
1123D4—31612no—
1124D4—31624no—
1125D4—31612no—
1126D4—7924no—
1127D4—7912no—
1128D4—15812no—
1129D4—15812no—
1130D4—15824no—
1131D4—15812no—
1132D4—15824no—
1133D4—15812no—
1134D4—15812no—
1135D4—1584no—
1136D4—15812no—
1137D4—15812no—
1138D4—15812no—
1139D4—1586no—
1140D4—15812no—
1141D4—1586no—
1142D4C2×D4×D79112yes—
1143C2×C4—212no—
1144C2×C4—212no—
1145C2×C4—212no—
1146C2×C4—46no—
1147C2×C4—31612no—
1148C2×C4—3166no—
1149C2×C4—793no—
1150C2×C4—791no—
1151C2×C4—7912no—
1152C2×C4—794no—
1153C2×C4—7912no—
1154C2×C4—7912no—
1155C2×C4—7912no—
1156C2×C4—796no—
1157C2×C4—792no—
1158C2×C4—792no—
1159C2×C4—792no—
1160C2×C4—15812no—
1161C2×C4—15812no—
1162C2×C4—15824no—
1163C2×C4—1584no—
1164C2×C4—15812no—
1165C2×C4—1584no—
1166C2×C4—15812no—
1167C2×C4—15812no—
1168C2×C4—15812no—
1169C2×C4C2×D4×D79112yes—
1170C2×C4C24×D7916yes—
1171C2×C4C24×D7912yes—
1172C2×C4C24×D7916yes—
1173C2×C4C24×D7912yes—
1174C2×C4C24×D7911yescharacteristic
1175C2×C4C24×D7913yes—
1176C22—26no—
1177C22—22no—
1178C22—26no—
1179C22—24no—
1180C22—212no—
1181C22—812no—
1182C22—31612no—
1183C22—31624no—
1184C22—792no—
1185C22—796no—
1186C22—63212no—
1187C22—63212no—
1188C22—63224no—
1189C22—63212no—
1190C22—1586no—
1191C22—1586no—
1192C22—15812no—
1193C22—15812no—
1194C22—1586no—
1195C22—1582no—
1196C22C22×D4×D7916yes—
1197C22C25×D7911yescharacteristic
1198C4—22no—
1199C4—26no—
1200C4—22no—
1201C4—26no—
1202C4—792no—
1203C4—796no—
1204C4—1582no—
1205C4—1582no—
1206C4—1586no—
1207C4—1582no—
1208C4C22×D4×D7916yes—
1209C4C22×D4×D7912yes—
1210C2—26no—
1211C2—46no—
1212C2—42no—
1213C2—3166no—
1214C2—3166no—
1215C2—1582no—
1216C2—1586no—
1217C2C23×D4×D7911yescharacteristic
1218C2#2377821112yes—
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3500C2
hypercenter#3500D79
hypocenterC79#62852
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3500

Complements

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

NH ≅ G/Ntype
1. C2×#19099400C2semidirect
2. C2×H(5,𝔽2)×D79C2semidirect
3. #23777194C2semidirect
4. #23777190C2semidirect
5. #23777189C2semidirect
6. #23777178C2semidirect
7. #23777175C2semidirect
8. #23777174C2semidirect
9. #23777173C2semidirect
10. #23777066C2semidirect
11. #23777063C2semidirect
12. #23777057C2semidirect
13. #23777030C2semidirect
14. #23776732C2semidirect
15. #23776727C2semidirect
16. C2×#19099131C2semidirect
17. #535×D79C2semidirect
18. #23776599C2semidirect
19. C79×#3500C2semidirect
21. C2×#14579209C22semidirect
22. C2×#14579209C22semidirect
23. C2×#14579207C22semidirect
24. C2×#14579207C22semidirect
25. C2×#14579207C22semidirect
26. C2×#14579207C22semidirect
27. C2×#14579207C22semidirect
28. C2×#14579207C22semidirect
29. C2×#14579206C22semidirect
30. C2×#14579206C22semidirect
32. C22×#11929625C22semidirect
33. C22×#11929625C22semidirect
35. C2×#41×D79C22semidirect
36. C2×#41×D79C22semidirect
37. C2×#41×D79C22semidirect
38. C2×#41×D79C22semidirect
39. C22×D4×D79C22semidirect
40. C22×D4×D79C22semidirect
41. #19099235C22semidirect
42. #19099234C22semidirect
43. #19099232C22semidirect
44. #19099231C22semidirect
45. #19099224C22semidirect
46. #19099223C22semidirect
47. #19099221C22semidirect
48. #19099206C22semidirect
49. #19099205C22semidirect
50. #19099204C22semidirect
51. #19099203C22semidirect
52. #19099201C22semidirect
53. D4×D316C22semidirect
54. D4×D316C22semidirect
55. #19099197C22semidirect
56. #19099197C22semidirect
57. D4×C22⋊D79C22semidirect
58. #19099195C22semidirect
59. #19099143C22semidirect
60. #19099140C22semidirect
61. #19099138C22semidirect
62. #19099138C22semidirect
63. #19099137C22semidirect
64. #19099133C22semidirect
65. #19099133C22semidirect
66. #19099132C22semidirect
67. #19099132C22semidirect
68. #19099131C22semidirect
69. #19099131C22semidirect
70. #19099131C22semidirect
71. #19099131C22semidirect
72. #19099131C22semidirect
73. #19099131C22semidirect
74. #19099131C22semidirect
75. #19099130C22semidirect
76. #19099129C22semidirect
77. #19099128C22semidirect
78. #19099127C22semidirect
79. #19099127C22semidirect
80. #19099126C22semidirect
81. #19099126C22semidirect
82. #19099124C22semidirect
83. #19099121C22semidirect
84. #19099114C22semidirect
85. #19099113C22semidirect
86. #19099112C22semidirect
87. #19099109C22semidirect
88. #19099109C22semidirect
89. C2×#14579158C22semidirect
90. C2×#14579157C22semidirect
91. #127×D79C22semidirect
92. C2×#14579150C22semidirect
93. #124×D79C22semidirect
94. #19099076C22semidirect
95. #19099072C22semidirect
96. #19099072C22semidirect
97. #19099071C22semidirect
98. C2×#14579134C22semidirect
99. #121×D79C22semidirect
100. C2×#14579131C22semidirect
101. #120×D79C22semidirect
102. #19099045C22semidirect
103. #19099042C22semidirect
104. #19099039C22semidirect
105. #19099035C22semidirect
106. #41×Dic79C22semidirect
107. C4×#11929624C22semidirect
108. #19099031C22semidirect
109. C2×#14579118C22semidirect
110. #117×D79C22semidirect
111. C2×2−1+4×C79C22semidirect
112. C2×H(5,𝔽2)×C79C22semidirect
113. #548×C79C22semidirect
114. #546×C79C22semidirect
115. #536×C79C22semidirect
116. #535×C79C22semidirect
117. #532×C79C22semidirect
118. C2×#124×C79C22semidirect
119. C4×#41×C79C22semidirect
138. C2×#11929625C23semidirect
139. C2×#11929625C23semidirect
140. C2×#11929625C23semidirect
141. C2×#11929625C23semidirect
147. C2×#11929624C23semidirect
148. C2×#11929624C23semidirect
149. C2×#11929624C23semidirect
155. C2×#11929623C23semidirect
160. #41×D79D4semidirect
163. C2×Q8×D79C23semidirect
164. C2×Q8×D79C23semidirect
168. C22×D316C23semidirect
169. C22×D316C23semidirect
170. C22×D316C23semidirect
173. C22×C22⋊D79C23semidirect
186. C2×D4×D79C23semidirect
187. C2×D4×D79C23semidirect
188. C2×D4×D79C23semidirect
189. C2×D4×D79C23semidirect
192. C22×C4×D79C23semidirect
193. C22×C4×D79C23semidirect
194. #14579161C23semidirect
195. #14579159C23semidirect
196. #14579159C23semidirect
197. #14579158C23semidirect
198. #14579158C23semidirect
199. #14579158C23semidirect
200. #14579157C23semidirect
201. #14579157C23semidirect
202. #14579157C23semidirect
203. #14579157C23semidirect
204. #14579157C23semidirect
205. #14579150C23semidirect
206. #14579150C23semidirect
207. #14579150C23semidirect
208. #14579150C23semidirect
209. #14579149C23semidirect
210. #14579149C23semidirect
211. #14579148C23semidirect
212. #14579148C23semidirect
213. #14579147C23semidirect
215. #14579146C23semidirect
216. #14579144C23semidirect
218. #14579143C23semidirect
219. #14579139C23semidirect
220. #14579139C23semidirect
221. #14579138C23semidirect
222. #14579138C23semidirect
223. #14579137C23semidirect
224. #14579136C23semidirect
225. #14579136C23semidirect
226. #14579136C23semidirect
227. #14579135C23semidirect
228. #14579135C23semidirect
229. #14579135C23semidirect
230. #14579134C23semidirect
231. #14579134C23semidirect
232. #14579134C23semidirect
233. #14579134C23semidirect
234. #14579134C23semidirect
235. #14579134C23semidirect
236. #14579133C23semidirect
237. #14579133C23semidirect
238. #14579133C23semidirect
239. #14579133C23semidirect
240. #14579132C23semidirect
243. #14579131C23semidirect
244. #14579131C23semidirect
245. #14579131C23semidirect
246. #14579131C23semidirect
247. #14579131C23semidirect
248. #14579130C23semidirect
250. #14579129C23semidirect
251. #14579129C23semidirect
252. #14579129C23semidirect
253. Q8×Dic79C23semidirect
254. C4×Dic158C23semidirect
255. #14579126C23semidirect
256. C4×D316C23semidirect
257. C4×D316C23semidirect
258. D4×Dic79C23semidirect
259. #14579123C23semidirect
260. #14579123C23semidirect
261. C4×C22⋊D79C23semidirect
262. C4×C22⋊D79C23semidirect
263. C4×C22⋊D79C23semidirect
264. (C22⋊D79)⋊C4C23semidirect
265. (C22⋊D79)⋊C4C23semidirect
266. #14579120C23semidirect
271. #14579118C23semidirect
272. #14579118C23semidirect
273. #14579118C23semidirect
274. #14579117C23semidirect
275. C2×Dic79⋊C4C23semidirect
276. C4⋊C4×D79C23semidirect
278. C2×(C2×D79)⋊C4C23semidirect
280. C22⋊C4×D79C23semidirect
281. C2×C4×Dic79C23semidirect
282. C42×D79C23semidirect
288. C2×#41×C79C23semidirect
289. C2×#41×C79C23semidirect
290. C22×Q8×C79C23semidirect
291. C22×Q8×C79C23semidirect
294. C4⋊Q8×C79C23semidirect
295. #127×C79C23semidirect
296. #124×C79C23semidirect
297. #124×C79C23semidirect
298. #124×C79C23semidirect
299. #124×C79C23semidirect
300. #123×C79C23semidirect
301. C22⋊Q8×C79C23semidirect
302. #121×C79C23semidirect
303. #121×C79C23semidirect
304. #120×C79C23semidirect
305. C4×Q8×C79C23semidirect
306. C4×D4×C79C23semidirect
307. C4×D4×C79C23semidirect
308. #117×C79C23semidirect
309. C2×C22⋊C4×C79C23semidirect
310. C2×C42×C79C23semidirect
327. #11929625C2×D4semidirect
335. #11929624C2×D4semidirect
341. #11929623C2×D4semidirect
350. Q8×D79C2×D4semidirect
394. D4×D79C2×D4semidirect
402. C2×C4×D79C2×D4semidirect
444. #41×C79C2×D4semidirect
615. #3500D79semidirect
629. C79#62852semidirect
633. C2×2−1+4C2×D79semidirect
643. C2×H(5,𝔽2)C2×D79semidirect
660. #548C2×D79semidirect
666. #546C2×D79semidirect
680. #536C2×D79semidirect
697. #535C2×D79semidirect
705. #532C2×D79semidirect
711. C2×#124C2×D79semidirect
727. C4×#41C2×D79semidirect
776. C2×#41C22×D79semidirect
777. C2×#41C22×D79semidirect
782. C22×Q8C22×D79semidirect
783. C22×Q8C22×D79semidirect
818. C4⋊Q8C22×D79semidirect
827. #127C22×D79semidirect
837. #124C22×D79semidirect
838. #124C22×D79semidirect
839. #124C22×D79semidirect
840. #124C22×D79semidirect
846. #123C22×D79semidirect
852. C22⋊Q8C22×D79semidirect
870. #121C22×D79semidirect
871. #121C22×D79semidirect
884. #120C22×D79semidirect
888. C4×Q8C22×D79semidirect
899. C4×D4C22×D79semidirect
900. C4×D4C22×D79semidirect
910. #117C22×D79semidirect
917. C2×C22⋊C4C22×D79semidirect
920. C2×C42C22×D79semidirect
957. #41D4×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190994002
C2×H(5,𝔽2)×D792
#237771942
#237771902
#237771892
#237771782
#237771752
#237771742
#237771732
#237770662
#237770632
#237770572
#237770302
#237767322
#237767272
C2×#190991312
#535×D792
#237765992
C79×#35002
#6285279