Finite Group Databasebeta

← #3500×D79 #35196733

Subgroups — #3500×D79 #35196733

Order 20224.

11534 conjugacy classes of subgroups.

The subgroup lattice has 1216 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×2−1+4×D79C211yesmaximal, characteristic, complemented
2C2×H(5,𝔽2)×D79C211yesmaximal, characteristic, complemented
3#23777194C211yesmaximal, characteristic, complemented
4#23777193C211yesmaximal, characteristic, complemented
5#23777192C213yesmaximal, complemented
6#23777191C214yesmaximal, complemented
7#23777190C213yesmaximal, complemented
8#23777189C213yesmaximal, complemented
9#23777188C211yesmaximal, characteristic, complemented
10#23777187C213yesmaximal, complemented
11#23777186C2112yesmaximal, complemented
12#548×D79C214yesmaximal, complemented
13#546×D79C2112yesmaximal, complemented
14#536×D79C213yesmaximal, complemented
15#535×D79C213yesmaximal, complemented
16#532×D79C213yesmaximal, complemented
17C2×#124×D79C213yesmaximal, complemented
18C4×#41×D79C211yesmaximal, characteristic, complemented
19C79×#3500C211yesmaximal, characteristic, complemented
20C2×#14579209C2213yescomplemented
21C2×#14579209C2212yescomplemented
22C2×#14579208C2216yescomplemented
23C2×#14579208C2213yescomplemented
24C2×#14579208C2211yescharacteristic, complemented
252−1+4×D79—216no—
26C2×#14579207C2213yescomplemented
27C2×#14579207C2212yescomplemented
28C2×#14579207C2211yescharacteristic, complemented
29C2×#14579206C2216yescomplemented
30C2×#14579206C2213yescomplemented
31H(5,𝔽2)×D79—216no—
32C2×#41×D79C2212yes—
33C2×#41×D79C2213yes—
34C2×#41×D79C2211yescharacteristic
35C2×#41×D79C2216yescomplemented
36C2×#41×D79C2213yescomplemented
37C22×Q8×D79C2212yescomplemented
38C22×Q8×D79C2213yescomplemented
39C22×D4×D79C2216yes—
40C22×D4×D79C2213yes—
41#19099225C2214yescomplemented
42#19099224C2214yescomplemented
43#19099223C22112yescomplemented
44#19099222C22112yescomplemented
45#19099221C22112yescomplemented
46#19099220C2214yescomplemented
47#19099219C22112yescomplemented
48#19099210C22112yescomplemented
49#19099209C22112yescomplemented
50#19099208C22112yescomplemented
51#19099207C22112yescomplemented
52#19099206C22112yescomplemented
53#19099205C22124yescomplemented
54#19099204C22112yescomplemented
55#19099203C22124yescomplemented
56#19099202C22124yescomplemented
57#19099201C22112yescomplemented
58#19099200C22124yescomplemented
59#19099139C2213yescomplemented
60#19099138C2216yescomplemented
61#19099137C2213yescomplemented
62#19099136C22112yescomplemented
63#19099135C22112yescomplemented
64#19099134C2213yescomplemented
65#19099133C2216yescomplemented
66#19099132C2213yescomplemented
67#19099131C2216yescomplemented
68#19099130C2213yescomplemented
69#19099129C22112yescomplemented
70#19099128C22112yescomplemented
71#19099127C2213yescomplemented
72#19099126C2216yescomplemented
73#19099114C2213yescomplemented
74#19099113C2213yescomplemented
75#19099112C2213yescomplemented
76#19099112C2213yescomplemented
77#19099111C2213yescomplemented
78#19099110C22112yescomplemented
79#19099109C2213yescomplemented
80#19099109C2213yescomplemented
81#19099108C22112yescomplemented
82C4⋊Q8×D79C2213yescomplemented
83#127×D79C2213yescomplemented
84C2×#14579150C2213yescomplemented
85C2×#14579149C2213yescomplemented
86C2×#14579148C2213yescomplemented
87C2×#14579147C22112yescomplemented
88#124×D79C22112yescomplemented
89#124×D79C2213yescomplemented
90#124×D79C2216yescomplemented
91#124×D79C2211yescharacteristic, complemented
92#124×D79C22112yescomplemented
93#124×D79C2216yescomplemented
94#124×D79C2216yescomplemented
95#123×D79C22112yescomplemented
96C22⋊Q8×D79C22112yescomplemented
97#121×D79C22112yescomplemented
98#121×D79C22112yescomplemented
99#120×D79C22112yescomplemented
100#41×Dic79C2211yescharacteristic, complemented
101C4×#11929625C2212yescomplemented
102C4×#11929624C2213yescomplemented
103#19099031C2213yescomplemented
104C4×#11929623C2216yescomplemented
105C4×Q8×D79C2212yescomplemented
106C4×D4×D79C2216yescomplemented
107C4×D4×D79C22112yescomplemented
108#117×D79C2213yescomplemented
109C2×C22⋊C4×D79C22112yescomplemented
110C2×C42×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—216no—
122#14579209—224no—
123#14579208—28no—
124#14579208—224no—
125#14579208—248no—
126#14579207—28no—
127#14579207—216no—
128#14579207—224no—
129#14579206—224no—
130#14579206—248no—
131C2×#11929625C2313yes—
132C2×#11929625C2312yes—
133C2×#11929625C2311yescharacteristic
134C2×#11929625C2316yescomplemented
135C2×#11929625C2313yescomplemented
136C2×#11929624C2316yes—
137C2×#11929624C2313yes—
138C2×#11929624C2316yes—
139C2×#11929624C2313yes—
140C2×#11929624C23112yescomplemented
141C2×#11929624C2316yescomplemented
142C2×#11929624C2313yescomplemented
143C2×#11929624C2316yescomplemented
144C2×#11929623C2316yes—
145C2×#11929623C2316yes—
146C2×#11929623C2313yes—
147C2×#11929623C2313yes—
148C2×#11929623C23112yescomplemented
149C2×#11929623C2316yescomplemented
150C2×#11929623C2316yescomplemented
151C2×#11929623C2313yescomplemented
152#41×D79—216no—
153#41×D79—248no—
154#41×D79—224no—
155#41×D79—224no—
156#41×D79D4116yescomplemented
157C22×Dic158C2313yescomplemented
158C22×Dic158C2316yescomplemented
159C22×Dic158C2316yescomplemented
160C2×Q8×D79—216no—
161C2×Q8×D79—224no—
162C2×Q8×D79C2316yes—
163C2×Q8×D79C2313yes—
164C2×Q8×D79C2311yescharacteristic
165C2×Q8×D79C2311yescharacteristic
166C2×Q8×D79C2316yescomplemented
167C2×Q8×D79C2316yescomplemented
168C2×Q8×D79C2312yescomplemented
169C2×Q8×D79C2316yescomplemented
170C22×D316C2316yes—
171C22×D316C2313yes—
172C22×C22⋊D79C23112yes—
173C22×C22⋊D79C2316yes—
174C2×D4×D79—248no—
175C2×D4×D79—224no—
176C2×D4×D79C2316yes—
177C2×D4×D79C23112yes—
178C2×D4×D79C2316yes—
179C2×D4×D79C2316yes—
180C2×D4×D79C2316yes—
181C2×D4×D79C2316yes—
182C2×D4×D79C2316yes—
183C2×D4×D79C2316yes—
184C2×D4×D79C2313yes—
185C2×D4×D79C2311yescharacteristic
186C2×D4×D79C23112yes—
187C2×D4×D79C2313yes—
188C22×C4×D79C2316yes—
189C22×C4×D79C2316yes—
190C22×C4×D79C2316yes—
191C22×C4×D79C2316yes—
192C22×C4×D79C2313yes—
193#14579161C2313yescomplemented
194#14579160C23112yescomplemented
195#14579159C2313yescomplemented
196#14579159C2313yescomplemented
197#14579158C2313yescomplemented
198#14579157C23112yescomplemented
199#14579157C2313yescomplemented
200#14579157C2313yescomplemented
201#14579150C2316yescomplemented
202#14579150C23112yescomplemented
203#14579150C2313yescomplemented
204#14579150C2311yescharacteristic, complemented
205#14579149C2316yescomplemented
206#14579149C23112yescomplemented
207#14579149C2313yescomplemented
208#14579149C2311yescharacteristic, complemented
209#14579148C23112yescomplemented
210#14579148C2313yescomplemented
211#14579148C2316yescomplemented
212#14579148C2311yescharacteristic, complemented
213#14579147C23124yescomplemented
214#14579147C23124yescomplemented
215#14579147C23124yescomplemented
216#14579147C23112yescomplemented
217#14579147C2314yescomplemented
218#14579146C23124yescomplemented
219#14579145C23112yescomplemented
220#14579144C23112yescomplemented
221#14579143C23124yescomplemented
222#14579142C23112yescomplemented
223#14579141C23112yescomplemented
224#14579140C23112yescomplemented
225#14579139C23124yescomplemented
226#14579138C23124yescomplemented
227#14579137C23112yescomplemented
228#14579136C23112yescomplemented
229#14579136C23112yescomplemented
230#14579135C23112yescomplemented
231#14579135C23112yescomplemented
232#14579134C23112yescomplemented
233#14579134C23112yescomplemented
234#14579134C23124yescomplemented
235#14579133C23112yescomplemented
236#14579133C23124yescomplemented
237#14579133C23112yescomplemented
238#14579132C23112yescomplemented
239#14579132C23112yescomplemented
240#14579131C23124yescomplemented
241#14579131C23112yescomplemented
242#14579130C23112yescomplemented
243#14579129C23124yescomplemented
244#14579129C23112yescomplemented
245Q8×Dic79C2312yescomplemented
246C4×Dic158C2316yescomplemented
247#14579126C2316yescomplemented
248C4×D316C2316yescomplemented
249C4×D316C23112yescomplemented
250D4×Dic79C23112yescomplemented
251D4×Dic79C2316yescomplemented
252#14579123C2316yescomplemented
253#14579123C23112yescomplemented
254C4×C22⋊D79C23112yescomplemented
255C4×C22⋊D79C23112yescomplemented
256C4×C22⋊D79C23112yescomplemented
257(C22⋊D79)⋊C4C23112yescomplemented
258(C22⋊D79)⋊C4C23112yescomplemented
259(C22⋊D79)⋊C4C23112yescomplemented
260#14579120C2313yescomplemented
261#14579119C2316yescomplemented
262#14579118C2316yescomplemented
263#14579117C2316yescomplemented
264C4⋊C4×D79C2316yes—
265C4⋊C4×D79C23112yes—
266C2×C22⋊Dic79C23112yescomplemented
267C2×(C2×D79)⋊C4C23112yescomplemented
268C2×(C2×D79)⋊C4C23112yescomplemented
269C22⋊C4×D79C23112yes—
270C22⋊C4×D79C23124yes—
271C22⋊C4×D79C2316yes—
272C22⋊C4×D79C2314yes—
273C22⋊C4×D79C23124yescomplemented
274C22⋊C4×D79C23124yescomplemented
275C2×C4×Dic79C2316yescomplemented
276C2×C4×Dic79C2313yescomplemented
277C42×D79C2311yescharacteristic
278C42×D79C2313yes—
279C42×D79C2316yes—
280C42×D79C2316yescomplemented
281C42×D79C2313yescomplemented
282C42×D79C2313yescomplemented
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—424no—
313C23×D79C2416yes—
314C23×D79C2412yes—
315C23×D79C2413yes—
316C23×D79C24112yes—
317C23×D79C2416yes—
318#11929625—224no—
319#11929625—212no—
320#11929625—212no—
321#11929625—28no—
322#11929625C2×D418yescomplemented
323#11929624—224no—
324#11929624—224no—
325#11929624—224no—
326#11929624—224no—
327#11929624—212no—
328#11929624—212no—
329#11929624—248no—
330#11929624C2×D4124yescomplemented
331#11929623—224no—
332#11929623—224no—
333#11929623—212no—
334#11929623—212no—
335#11929623—224no—
336#11929623—224no—
337#11929623—248no—
338#11929623C2×D4124yescomplemented
339C2×Dic158—224no—
340C2×Dic158—224no—
341C2×Dic158—212no—
342C2×Dic158C24112yes—
343C2×Dic158C2416yes—
344C2×Dic158C2416yes—
345C2×Dic158C2413yes—
346C2×Dic158C2412yes—
347C2×Dic158C2411yescharacteristic
348C2×Dic158C2413yes—
349Q8×D79—224no—
350Q8×D79—212no—
351Q8×D79—224no—
352Q8×D79—224no—
353Q8×D79—24no—
354Q8×D79—224no—
355Q8×D79—28no—
356Q8×D79C2×D418yes—
357C2×D316—224no—
358C2×D316—212no—
359C2×D316C2416yes—
360C2×D316C2416yes—
361C2×D316C2413yes—
362C2×D316C2416yes—
363C2×D316C2411yescharacteristic
364C2×D316C24112yes—
365C2×D316C2413yes—
366C2×C22⋊D79—224no—
367C2×C22⋊D79—248no—
368C2×C22⋊D79C2416yes—
369C2×C22⋊D79C24112yes—
370C2×C22⋊D79C2416yes—
371C2×C22⋊D79C2416yes—
372C2×C22⋊D79C2416yes—
373C2×C22⋊D79C2416yes—
374C2×C22⋊D79C2412yes—
375C2×C22⋊D79C24112yes—
376C2×C22⋊D79C24112yes—
377C2×C22⋊D79C2416yes—
378D4×D79—224no—
379D4×D79—24no—
380D4×D79—224no—
381D4×D79—212no—
382D4×D79—224no—
383D4×D79—224no—
384D4×D79—224no—
385D4×D79—224no—
386D4×D79—224no—
387D4×D79—248no—
388D4×D79—424no—
389D4×D79C2×D4124yes—
390C22×Dic79C2416yes—
391C22×Dic79C2416yes—
392C22×Dic79C2416yes—
393C22×Dic79C2416yes—
394C22×Dic79C2413yes—
395C2×C4×D79—224no—
396C2×C4×D79—224no—
397C2×C4×D79—224no—
398C2×C4×D79—412no—
399C2×C4×D79C2×D4124yes—
400C2×C4×D79C2416yes—
401C2×C4×D79C2412yes—
402C2×C4×D79C24112yes—
403C2×C4×D79C2416yes—
404C2×C4×D79C2416yes—
405C2×C4×D79C2416yes—
406C2×C4×D79C2416yes—
407C2×C4×D79C2412yes—
408C2×C4×D79C2416yes—
409C2×C4×D79C2416yes—
410C2×C4×D79C2416yes—
411C2×C4×D79C2411yescharacteristic
412C2×C4×D79C2413yes—
413C2×C4×D79C2413yes—
414C2×C4×D79C2413yes—
415C4⋊Dic79C2416yes—
416C4⋊Dic79C24112yes—
417Dic79⋊C4C24112yes—
418Dic79⋊C4C24112yes—
419Dic79⋊C4C24112yes—
420C22⋊Dic79C24112yes—
421C22⋊Dic79C24124yes—
422C22⋊Dic79C2416yes—
423C22⋊Dic79C2414yes—
424(C2×D79)⋊C4C24112yes—
425(C2×D79)⋊C4C24112yes—
426(C2×D79)⋊C4C24124yes—
427(C2×D79)⋊C4C24124yes—
428(C2×D79)⋊C4C24112yes—
429(C2×D79)⋊C4C2414yes—
430(C2×D79)⋊C4C2414yes—
431C4×Dic79C2412yes—
432C4×Dic79C2411yescharacteristic
433C4×Dic79C2416yes—
434C4×Dic79C2413yes—
435C4×Dic79C2416yes—
436C4×Dic79C2416yes—
437C4×Dic79C2416yes—
438C24×C79C2416yes—
439#41×C79—28no—
440#41×C79—224no—
441#41×C79—212no—
442#41×C79—212no—
443#41×C79C2×D418yescomplemented
444C2×Q8×C79—28no—
445C2×Q8×C79—212no—
446C2×Q8×C79C2416yes—
447C2×Q8×C79C2413yes—
448C2×Q8×C79C2411yescharacteristic
449C2×Q8×C79C2411yescharacteristic
450C2×D4×C79—224no—
451C2×D4×C79—212no—
452C2×D4×C79C2416yes—
453C2×D4×C79C2416yes—
454C2×D4×C79C2413yes—
455C2×D4×C79C2416yes—
456C2×D4×C79C2411yescharacteristic
457C2×D4×C79C24112yes—
458C2×D4×C79C2413yes—
459C22×C4×C79C2416yes—
460C22×C4×C79C2416yes—
461C22×C4×C79C2416yes—
462C22×C4×C79C2416yes—
463C22×C4×C79C2413yes—
464C4⋊C4×C79C2416yes—
465C4⋊C4×C79C24112yes—
466C22⋊C4×C79C24112yes—
467C22⋊C4×C79C24124yes—
468C22⋊C4×C79C2416yes—
469C22⋊C4×C79C2414yes—
470C42×C79C2411yescharacteristic
471C42×C79C2413yes—
472C42×C79C2416yes—
473C23×C79—212no—
474C23×C79—412no—
475C23×C79C2516yes—
476C23×C79C2512yes—
477C23×C79C2513yes—
478C22×D79—212no—
479C22×D79—212no—
480C22×D79—24no—
481C22×D79—212no—
482C22×D79—28no—
483C22×D79—224no—
484C22×D79—224no—
485C22×D79—424no—
486C22×D79—412no—
487C22×D79—848no—
488C22×D79C22×D4112yes—
489C22×D79C2516yes—
490C22×D79C2512yes—
491C22×D79C2513yes—
492C22×D79C2511yescharacteristic
493Q8×C79—212no—
494Q8×C79—26no—
495Q8×C79—22no—
496Q8×C79C22×D414yes—
497D4×C79—212no—
498D4×C79—212no—
499D4×C79—212no—
500D4×C79—26no—
501D4×C79—22no—
502D4×C79—412no—
503D4×C79C22×D4112yes—
504C2×C4×C79—212no—
505C2×C4×C79—212no—
506C2×C4×C79—212no—
507C2×C4×C79—46no—
508C2×C4×C79C22×D4112yes—
509C2×C4×C79C2512yes—
510C2×C4×C79C2516yes—
511C2×C4×C79C2516yes—
512C2×C4×C79C2512yes—
513C2×C4×C79C2511yescharacteristic
514C2×C4×C79C2513yes—
515C22⋊D79—212no—
516C22⋊D79—212no—
517C22⋊D79—212no—
518C22⋊D79—212no—
519C22⋊D79—212no—
520C22⋊D79—224no—
521C22⋊D79—24no—
522C22⋊D79—412no—
523C22⋊D79—412no—
524C22⋊D79C22×D4124yes—
525C2×Dic79—212no—
526C2×Dic79—212no—
527C2×Dic79—212no—
528C2×Dic79—46no—
529C2×Dic79C22×D4112yes—
530C2×Dic79C2512yes—
531C2×Dic79C2516yes—
532C2×Dic79C2516yes—
533C2×Dic79C2512yes—
534C2×Dic79C2511yescharacteristic
535C2×Dic79C2513yes—
536D316—212no—
537D316—212no—
538D316—212no—
539D316—26no—
540D316—22no—
541D316—412no—
542D316C22×D4112yes—
543C4×D79—24no—
544C4×D79—212no—
545C4×D79—224no—
546C4×D79—24no—
547C4×D79—212no—
548C4×D79—212no—
549C4×D79—212no—
550C4×D79—212no—
551C4×D79—212no—
552C4×D79—46no—
553C4×D79—46no—
554C4×D79C22×D4112yes—
555C4×D79C22×D414yes—
556C4×D79C22×D4112yes—
557C4×D79C22×D4112yes—
558Dic158—212no—
559Dic158—26no—
560Dic158—22no—
561Dic158—212no—
562Dic158—224no—
563Dic158—24no—
564Dic158C22×D4112yes—
565C22×C79—26no—
566C22×C79—22no—
567C22×C79—26no—
568C22×C79—24no—
569C22×C79—212no—
570C22×C79—812no—
571C22×C79C23×D416yes—
572C22×C79C2611yescharacteristic
573C2×D79—26no—
574C2×D79—224no—
575C2×D79—26no—
576C2×D79—22no—
577C2×D79—24no—
578C2×D79—212no—
579C2×D79—48no—
580C2×D79—424no—
581C2×D79—824no—
582C2×D79—812no—
583C2×D79C23×D416yes—
584C2×D79C23×D412yes—
585C2×D79#58514yes—
586C4×C79—22no—
587C4×C79—26no—
588C4×C79—22no—
589C4×C79—26no—
590C4×C79C23×D416yes—
591C4×C79C23×D412yes—
592Dic79—22no—
593Dic79—26no—
594Dic79—26no—
595Dic79—22no—
596Dic79C23×D412yes—
597Dic79C23×D416yes—
598C2×#3500—791nomaximal, Sylow
599C2×C79—26no—
600C2×C79—46no—
601C2×C79—42no—
602C2×C79C24×D411yescharacteristic
603C2×C79C2×#58512yes—
604D79—26no—
605D79—42no—
606D79—46no—
607D79#350014yesdirect product factor
608C22×2−1+4—791no—
609C22×H(5,𝔽2)—791no—
610#3500—791no—
611#3500—791no—
612#3500—794no—
613#3500—7912no—
614#3500—793no—
615#3500—793no—
616#3500—793no—
617#3500—793no—
618#3500—791no—
619#3500D7911yescharacteristic, direct product factor
620C2×#548—794no—
621C2×#546—7912no—
622C2×#536—793no—
623C2×#535—793no—
624C2×#532—793no—
625C22×#124—793no—
626C2×C4×#41—791no—
627C79C2×#350011yescharacteristic, complemented, Sylow
628C2×2−1+4—791no—
629C2×2−1+4—793no—
630C2×2−1+4—796no—
631C2×2−1+4—792no—
632C2×2−1+4—793no—
633C2×2−1+4—15816no—
634C2×2−1+4C2×D7911yescharacteristic, complemented
635C2×H(5,𝔽2)—792no—
636C2×H(5,𝔽2)—793no—
637C2×H(5,𝔽2)—791no—
638C2×H(5,𝔽2)—796no—
639C2×H(5,𝔽2)—793no—
640C2×H(5,𝔽2)—15816no—
641C2×H(5,𝔽2)C2×D7911yescharacteristic, complemented
642C22×#41—791no—
643C22×#41—793no—
644C22×#41—792no—
645C22×#41—793no—
646C22×#41—796no—
647C23×Q8—793no—
648C23×Q8—792no—
649C23×D4—793no—
650C23×D4—796no—
651#548—794no—
652#548—794no—
653#548—7912no—
654#548—7912no—
655#548—7912no—
656#548—794no—
657#548—7912no—
658#548C2×D7914yescomplemented
659#546—7912no—
660#546—7912no—
661#546—7912no—
662#546—7924no—
663#546—7912no—
664#546—7924no—
665#546—7912no—
666#546—7924no—
667#546—7912no—
668#546—7912no—
669#546—7924no—
670#546C2×D79112yescomplemented
671#536—793no—
672#536—793no—
673#536—796no—
674#536—796no—
675#536—7912no—
676#536—7912no—
677#536—793no—
678#536C2×D7913yescomplemented
679#535—793no—
680#535—793no—
681#535—796no—
682#535—796no—
683#535—7912no—
684#535—7912no—
685#535—793no—
686#535C2×D7913yescomplemented
687#532—793no—
688#532—793no—
689#532—793no—
690#532—793no—
691#532—793no—
692#532—793no—
693#532—7912no—
694#532—7912no—
695#532—793no—
696#532C2×D7913yescomplemented
697C2×C4⋊Q8—793no—
698C2×#127—793no—
699C2×#124—793no—
700C2×#124—793no—
701C2×#124—793no—
702C2×#124—796no—
703C2×#124—7912no—
704C2×#124—796no—
705C2×#124—796no—
706C2×#124—7912no—
707C2×#124—791no—
708C2×#124—7912no—
709C2×#124—793no—
710C2×#124C2×D7913yescomplemented
711C2×#123—7912no—
712C2×C22⋊Q8—7912no—
713C2×#121—7912no—
714C2×#121—7912no—
715C2×#120—7912no—
716C4×#41—791no—
717C4×#41—792no—
718C4×#41—796no—
719C4×#41—793no—
720C4×#41—793no—
721C4×#41C2×D7911yescharacteristic, complemented
722C2×C4×Q8—792no—
723C2×C4×D4—796no—
724C2×C4×D4—7912no—
725C2×#117—793no—
726C22×C22⋊C4—7912no—
727C22×C42—793no—
728C25—796no—
7292−1+4—28no—
7302−1+4—15816no—
7312−1+4—15824no—
7322−1+4—15848no—
7332−1+4—15824no—
7342−1+4—1588no—
735H(5,𝔽2)—28no—
736H(5,𝔽2)—15848no—
737H(5,𝔽2)—15824no—
738H(5,𝔽2)—15816no—
739H(5,𝔽2)—15824no—
740H(5,𝔽2)—1588no—
741C2×#41—7916no—
742C2×#41—791no—
743C2×#41—793no—
744C2×#41—792no—
745C2×#41—793no—
746C2×#41—796no—
747C2×#41—793no—
748C2×#41—796no—
749C2×#41—793no—
750C2×#41—796no—
751C2×#41—796no—
752C2×#41—793no—
753C2×#41—796no—
754C2×#41—7912no—
755C2×#41—793no—
756C2×#41—796no—
757C2×#41—793no—
758C2×#41—796no—
759C2×#41—796no—
760C2×#41—793no—
761C2×#41—796no—
762C2×#41—7912no—
763C2×#41—15824no—
764C2×#41—15824no—
765C2×#41—15848no—
766C2×#41—15816no—
767C2×#41C22×D7913yes—
768C2×#41C22×D7912yes—
769C2×#41C22×D7911yescharacteristic
770C2×#41C22×D7913yescomplemented
771C2×#41C22×D7916yescomplemented
772C22×Q8—791no—
773C22×Q8—796no—
774C22×Q8—793no—
775C22×Q8—791no—
776C22×Q8—796no—
777C22×Q8—796no—
778C22×Q8—796no—
779C22×Q8—792no—
780C22×Q8—796no—
781C22×Q8—793no—
782C22×Q8—796no—
783C22×Q8—15824no—
784C22×Q8—15816no—
785C22×Q8C22×D7913yescomplemented
786C22×Q8C22×D7912yescomplemented
787C22×D4—7912no—
788C22×D4—793no—
789C22×D4—796no—
790C22×D4—7912no—
791C22×D4—796no—
792C22×D4—796no—
793C22×D4—796no—
794C22×D4—793no—
795C22×D4—796no—
796C22×D4—796no—
797C22×D4—791no—
798C22×D4—7912no—
799C22×D4—796no—
800C22×D4—796no—
801C22×D4—793no—
802C22×D4—796no—
803C22×D4—15824no—
804C22×D4—15848no—
805C22×D4C22×D7913yes—
806C22×D4C22×D7916yes—
807C23×C4—796no—
808C23×C4—793no—
809C23×C4—796no—
810C23×C4—796no—
811C23×C4—796no—
812C4⋊Q8—793no—
813C4⋊Q8—793no—
814C4⋊Q8—7912no—
815C4⋊Q8—793no—
816C4⋊Q8C22×D7913yescomplemented
817#127—793no—
818#127—793no—
819#127—7912no—
820#127—793no—
821#127C22×D7913yescomplemented
822#124—793no—
823#124—796no—
824#124—7912no—
825#124—791no—
826#124—793no—
827#124—796no—
828#124—7912no—
829#124—791no—
830#124—7912no—
831#124—7924no—
832#124—7924no—
833#124—7924no—
834#124—794no—
835#124—793no—
836#124—796no—
837#124—7912no—
838#124—791no—
839#124C22×D7913yescomplemented
840#124C22×D7916yescomplemented
841#124C22×D79112yescomplemented
842#124C22×D7911yescharacteristic, complemented
843#123—7912no—
844#123—7912no—
845#123—7924no—
846#123—7924no—
847#123—7912no—
848#123C22×D79112yescomplemented
849C22⋊Q8—7912no—
850C22⋊Q8—7912no—
851C22⋊Q8—7924no—
852C22⋊Q8—7912no—
853C22⋊Q8—7924no—
854C22⋊Q8C22×D79112yescomplemented
855#121—7912no—
856#121—7912no—
857#121—7912no—
858#121—7912no—
859#121—7924no—
860#121—7912no—
861#121—7912no—
862#121—7912no—
863#121—7912no—
864#121—7912no—
865#121—7912no—
866#121—7924no—
867#121C22×D79112yescomplemented
868#121C22×D79112yescomplemented
869#120—7912no—
870#120—7924no—
871#120—7912no—
872#120—7912no—
873#120—7924no—
874#120C22×D79112yescomplemented
875C4×Q8—792no—
876C4×Q8—796no—
877C4×Q8—796no—
878C4×Q8C22×D7912yescomplemented
879C4×D4—796no—
880C4×D4—7912no—
881C4×D4—7912no—
882C4×D4—7912no—
883C4×D4—7912no—
884C4×D4—796no—
885C4×D4—7912no—
886C4×D4—7912no—
887C4×D4—7912no—
888C4×D4—7912no—
889C4×D4—796no—
890C4×D4—7912no—
891C4×D4C22×D7916yescomplemented
892C4×D4C22×D79112yescomplemented
893#117—793no—
894#117—796no—
895#117—796no—
896#117—796no—
897#117C22×D7913yescomplemented
898C2×C4⋊C4—796no—
899C2×C4⋊C4—7912no—
900C2×C22⋊C4—7912no—
901C2×C22⋊C4—7912no—
902C2×C22⋊C4—7912no—
903C2×C22⋊C4—7912no—
904C2×C22⋊C4—7924no—
905C2×C22⋊C4—7924no—
906C2×C22⋊C4—7924no—
907C2×C22⋊C4—796no—
908C2×C22⋊C4—794no—
909C2×C22⋊C4C22×D79112yescomplemented
910C2×C42—793no—
911C2×C42—796no—
912C2×C42—793no—
913C2×C42—796no—
914C2×C42—796no—
915C2×C42—793no—
916C2×C42—793no—
917C2×C42—791no—
918C2×C42C22×D7913yescomplemented
919C24—31624no—
920C24—7912no—
921C24—796no—
922C24—793no—
923C24—796no—
924C24—792no—
925C24—15824no—
926C24C23×D7916yes—
927#41—28no—
928#41—224no—
929#41—212no—
930#41—212no—
931#41—798no—
932#41—7924no—
933#41—7924no—
934#41—15824no—
935#41—15824no—
936#41—15848no—
937#41—15824no—
938#41—15824no—
939#41—15824no—
940#41—15812no—
941#41—15824no—
942#41—15812no—
943#41—15812no—
944#41—15812no—
945#41—15848no—
946#41—15824no—
947#41—15824no—
948#41—1588no—
949#41—15824no—
950#41—15812no—
951#41—15812no—
952#41D4×D7918yescomplemented
953C2×Q8—28no—
954C2×Q8—212no—
955C2×Q8—798no—
956C2×Q8—793no—
957C2×Q8—7912no—
958C2×Q8—796no—
959C2×Q8—796no—
960C2×Q8—793no—
961C2×Q8—792no—
962C2×Q8—791no—
963C2×Q8—15824no—
964C2×Q8—15824no—
965C2×Q8—15812no—
966C2×Q8—15824no—
967C2×Q8—15824no—
968C2×Q8—15824no—
969C2×Q8—1584no—
970C2×Q8—15824no—
971C2×Q8—1588no—
972C2×Q8—15812no—
973C2×Q8C23×D7916yes—
974C2×Q8C23×D7913yes—
975C2×Q8C23×D7911yescharacteristic
976C2×Q8C23×D7911yescharacteristic
977C2×D4—224no—
978C2×D4—212no—
979C2×D4—31624no—
980C2×D4—7912no—
981C2×D4—7912no—
982C2×D4—796no—
983C2×D4—7924no—
984C2×D4—796no—
985C2×D4—796no—
986C2×D4—796no—
987C2×D4—796no—
988C2×D4—7912no—
989C2×D4—796no—
990C2×D4—792no—
991C2×D4—7912no—
992C2×D4—793no—
993C2×D4—796no—
994C2×D4—796no—
995C2×D4—796no—
996C2×D4—793no—
997C2×D4—791no—
998C2×D4—15824no—
999C2×D4—15812no—
1000C2×D4—15824no—
1001C2×D4—15824no—
1002C2×D4—15824no—
1003C2×D4—1584no—
1004C2×D4—15824no—
1005C2×D4—15848no—
1006C2×D4—15824no—
1007C2×D4—15824no—
1008C2×D4—15824no—
1009C2×D4—15848no—
1010C2×D4—15824no—
1011C2×D4—15812no—
1012C2×D4C23×D7916yes—
1013C2×D4C23×D7916yes—
1014C2×D4C23×D7916yes—
1015C2×D4C23×D7913yes—
1016C2×D4C23×D7911yescharacteristic
1017C2×D4C23×D79112yes—
1018C2×D4C23×D7913yes—
1019C22×C4—31612no—
1020C22×C4—796no—
1021C22×C4—796no—
1022C22×C4—796no—
1023C22×C4—793no—
1024C22×C4—791no—
1025C22×C4—793no—
1026C22×C4—793no—
1027C22×C4—793no—
1028C22×C4—7924no—
1029C22×C4—796no—
1030C22×C4—796no—
1031C22×C4—796no—
1032C22×C4—792no—
1033C22×C4—796no—
1034C22×C4—796no—
1035C22×C4—7912no—
1036C22×C4—792no—
1037C22×C4—796no—
1038C22×C4—796no—
1039C22×C4—796no—
1040C22×C4—796no—
1041C22×C4—15824no—
1042C22×C4—15824no—
1043C22×C4—15824no—
1044C22×C4C23×D7916yes—
1045C22×C4C23×D7916yes—
1046C22×C4C23×D7916yes—
1047C22×C4C23×D7916yes—
1048C22×C4C23×D7913yes—
1049C4⋊C4—7912no—
1050C4⋊C4—7912no—
1051C4⋊C4—7912no—
1052C4⋊C4—796no—
1053C4⋊C4—7912no—
1054C4⋊C4C23×D7916yes—
1055C4⋊C4C23×D79112yes—
1056C22⋊C4—7912no—
1057C22⋊C4—7924no—
1058C22⋊C4—796no—
1059C22⋊C4—794no—
1060C22⋊C4—7912no—
1061C22⋊C4—7912no—
1062C22⋊C4—7924no—
1063C22⋊C4—7924no—
1064C22⋊C4—7912no—
1065C22⋊C4—794no—
1066C22⋊C4—794no—
1067C22⋊C4C23×D79112yes—
1068C22⋊C4C23×D79124yes—
1069C22⋊C4C23×D7916yes—
1070C22⋊C4C23×D7914yes—
1071C42—792no—
1072C42—791no—
1073C42—796no—
1074C42—793no—
1075C42—796no—
1076C42—796no—
1077C42—796no—
1078C42C23×D7911yescharacteristic
1079C42C23×D7913yes—
1080C42C23×D7916yes—
1081C23—212no—
1082C23—412no—
1083C23—31612no—
1084C23—31624no—
1085C23—791no—
1086C23—793no—
1087C23—7912no—
1088C23—796no—
1089C23—792no—
1090C23—63248no—
1091C23—1584no—
1092C23—15812no—
1093C23—1588no—
1094C23—15824no—
1095C23—15824no—
1096C23—15812no—
1097C23—15812no—
1098C23C24×D7916yes—
1099C23C24×D7912yes—
1100C23C24×D7913yes—
1101Q8—212no—
1102Q8—26no—
1103Q8—22no—
1104Q8—7912no—
1105Q8—15812no—
1106Q8—15824no—
1107Q8—1584no—
1108Q8—15812no—
1109Q8—1586no—
1110Q8—1582no—
1111Q8C2×D4×D7914yes—
1112D4—212no—
1113D4—212no—
1114D4—212no—
1115D4—26no—
1116D4—22no—
1117D4—412no—
1118D4—31612no—
1119D4—31612no—
1120D4—31612no—
1121D4—7924no—
1122D4—7912no—
1123D4—15812no—
1124D4—15812no—
1125D4—15812no—
1126D4—15824no—
1127D4—1584no—
1128D4—15812no—
1129D4—15812no—
1130D4—15812no—
1131D4—15812no—
1132D4—15812no—
1133D4—1586no—
1134D4—1582no—
1135D4C2×D4×D79112yes—
1136C2×C4—212no—
1137C2×C4—212no—
1138C2×C4—212no—
1139C2×C4—46no—
1140C2×C4—3166no—
1141C2×C4—3166no—
1142C2×C4—3166no—
1143C2×C4—791no—
1144C2×C4—793no—
1145C2×C4—7912no—
1146C2×C4—794no—
1147C2×C4—7912no—
1148C2×C4—7912no—
1149C2×C4—7912no—
1150C2×C4—792no—
1151C2×C4—796no—
1152C2×C4—796no—
1153C2×C4—792no—
1154C2×C4—15812no—
1155C2×C4—15812no—
1156C2×C4—1584no—
1157C2×C4—15812no—
1158C2×C4—1584no—
1159C2×C4—15812no—
1160C2×C4—15824no—
1161C2×C4—15812no—
1162C2×C4—15812no—
1163C2×C4—15812no—
1164C2×C4—15812no—
1165C2×C4—15812no—
1166C2×C4C2×D4×D79112yes—
1167C2×C4C24×D7912yes—
1168C2×C4C24×D7916yes—
1169C2×C4C24×D7916yes—
1170C2×C4C24×D7912yes—
1171C2×C4C24×D7911yescharacteristic
1172C2×C4C24×D7913yes—
1173C22—26no—
1174C22—22no—
1175C22—26no—
1176C22—24no—
1177C22—212no—
1178C22—812no—
1179C22—31624no—
1180C22—3168no—
1181C22—792no—
1182C22—794no—
1183C22—796no—
1184C22—63212no—
1185C22—63224no—
1186C22—15824no—
1187C22—1582no—
1188C22—1586no—
1189C22—1584no—
1190C22—15812no—
1191C22—1586no—
1192C22C22×D4×D7916yes—
1193C22C25×D7911yescharacteristic
1194C4—22no—
1195C4—26no—
1196C4—22no—
1197C4—26no—
1198C4—792no—
1199C4—796no—
1200C4—1582no—
1201C4—1586no—
1202C4—1582no—
1203C4—1586no—
1204C4C22×D4×D7916yes—
1205C4C22×D4×D7912yes—
1206C2—26no—
1207C2—46no—
1208C2—42no—
1209C2—3166no—
1210C2—3162no—
1211C2—794no—
1212C2—1586no—
1213C2C23×D4×D7911yescharacteristic
1214C2#585×D7912yes—
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3500C2
hypercenter#3500D79
hypocenterC79C2×#3500
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3500

Complements

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

NH ≅ G/Ntype
1. C2×2−1+4×D79C2semidirect
2. C2×H(5,𝔽2)×D79C2semidirect
3. #23777194C2semidirect
4. #23777193C2semidirect
5. #23777192C2semidirect
6. #23777191C2semidirect
7. #23777190C2semidirect
8. #23777189C2semidirect
9. #23777188C2semidirect
10. #23777187C2semidirect
11. #23777186C2semidirect
12. #548×D79C2semidirect
13. #546×D79C2semidirect
14. #536×D79C2semidirect
15. #535×D79C2semidirect
16. #532×D79C2semidirect
17. C2×#124×D79C2semidirect
18. C4×#41×D79C2semidirect
19. C79×#3500C2semidirect
20. C2×#14579209C22semidirect
21. C2×#14579209C22semidirect
22. C2×#14579208C22semidirect
23. C2×#14579208C22semidirect
24. C2×#14579208C22semidirect
26. C2×#14579207C22semidirect
27. C2×#14579207C22semidirect
28. C2×#14579207C22semidirect
29. C2×#14579206C22semidirect
30. C2×#14579206C22semidirect
35. C2×#41×D79C22semidirect
36. C2×#41×D79C22semidirect
37. C22×Q8×D79C22semidirect
38. C22×Q8×D79C22semidirect
41. #19099225C22semidirect
42. #19099224C22semidirect
43. #19099223C22semidirect
44. #19099222C22semidirect
45. #19099221C22semidirect
46. #19099220C22semidirect
47. #19099219C22semidirect
48. #19099210C22semidirect
49. #19099209C22semidirect
50. #19099208C22semidirect
51. #19099207C22semidirect
52. #19099206C22semidirect
53. #19099205C22semidirect
54. #19099204C22semidirect
55. #19099203C22semidirect
56. #19099202C22semidirect
57. #19099201C22semidirect
58. #19099200C22semidirect
59. #19099139C22semidirect
60. #19099138C22semidirect
61. #19099137C22semidirect
62. #19099136C22semidirect
63. #19099135C22semidirect
64. #19099134C22semidirect
65. #19099133C22semidirect
66. #19099132C22semidirect
67. #19099131C22semidirect
68. #19099130C22semidirect
69. #19099129C22semidirect
70. #19099128C22semidirect
71. #19099127C22semidirect
72. #19099126C22semidirect
73. #19099114C22semidirect
74. #19099113C22semidirect
75. #19099112C22semidirect
76. #19099112C22semidirect
77. #19099111C22semidirect
78. #19099110C22semidirect
79. #19099109C22semidirect
80. #19099109C22semidirect
81. #19099108C22semidirect
82. C4⋊Q8×D79C22semidirect
83. #127×D79C22semidirect
84. C2×#14579150C22semidirect
85. C2×#14579149C22semidirect
86. C2×#14579148C22semidirect
87. C2×#14579147C22semidirect
88. #124×D79C22semidirect
89. #124×D79C22semidirect
90. #124×D79C22semidirect
91. #124×D79C22semidirect
92. #124×D79C22semidirect
93. #124×D79C22semidirect
94. #124×D79C22semidirect
95. #123×D79C22semidirect
96. C22⋊Q8×D79C22semidirect
97. #121×D79C22semidirect
98. #121×D79C22semidirect
99. #120×D79C22semidirect
100. #41×Dic79C22semidirect
101. C4×#11929625C22semidirect
102. C4×#11929624C22semidirect
103. #19099031C22semidirect
104. C4×#11929623C22semidirect
105. C4×Q8×D79C22semidirect
106. C4×D4×D79C22semidirect
107. C4×D4×D79C22semidirect
108. #117×D79C22semidirect
109. C2×C22⋊C4×D79C22semidirect
110. C2×C42×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
134. C2×#11929625C23semidirect
135. C2×#11929625C23semidirect
140. C2×#11929624C23semidirect
141. C2×#11929624C23semidirect
142. C2×#11929624C23semidirect
143. C2×#11929624C23semidirect
148. C2×#11929623C23semidirect
149. C2×#11929623C23semidirect
150. C2×#11929623C23semidirect
151. C2×#11929623C23semidirect
156. #41×D79D4semidirect
157. C22×Dic158C23semidirect
158. C22×Dic158C23semidirect
159. C22×Dic158C23semidirect
166. C2×Q8×D79C23semidirect
167. C2×Q8×D79C23semidirect
168. C2×Q8×D79C23semidirect
169. C2×Q8×D79C23semidirect
193. #14579161C23semidirect
194. #14579160C23semidirect
195. #14579159C23semidirect
196. #14579159C23semidirect
197. #14579158C23semidirect
198. #14579157C23semidirect
199. #14579157C23semidirect
200. #14579157C23semidirect
201. #14579150C23semidirect
202. #14579150C23semidirect
203. #14579150C23semidirect
204. #14579150C23semidirect
205. #14579149C23semidirect
206. #14579149C23semidirect
207. #14579149C23semidirect
208. #14579149C23semidirect
209. #14579148C23semidirect
210. #14579148C23semidirect
211. #14579148C23semidirect
212. #14579148C23semidirect
213. #14579147C23semidirect
214. #14579147C23semidirect
215. #14579147C23semidirect
216. #14579147C23semidirect
217. #14579147C23semidirect
218. #14579146C23semidirect
219. #14579145C23semidirect
220. #14579144C23semidirect
221. #14579143C23semidirect
222. #14579142C23semidirect
223. #14579141C23semidirect
224. #14579140C23semidirect
225. #14579139C23semidirect
226. #14579138C23semidirect
227. #14579137C23semidirect
228. #14579136C23semidirect
229. #14579136C23semidirect
230. #14579135C23semidirect
231. #14579135C23semidirect
232. #14579134C23semidirect
233. #14579134C23semidirect
234. #14579134C23semidirect
235. #14579133C23semidirect
236. #14579133C23semidirect
237. #14579133C23semidirect
238. #14579132C23semidirect
239. #14579132C23semidirect
240. #14579131C23semidirect
241. #14579131C23semidirect
242. #14579130C23semidirect
243. #14579129C23semidirect
244. #14579129C23semidirect
245. Q8×Dic79C23semidirect
246. C4×Dic158C23semidirect
247. #14579126C23semidirect
248. C4×D316C23semidirect
249. C4×D316C23semidirect
250. D4×Dic79C23semidirect
251. D4×Dic79C23semidirect
252. #14579123C23semidirect
253. #14579123C23semidirect
254. C4×C22⋊D79C23semidirect
255. C4×C22⋊D79C23semidirect
256. C4×C22⋊D79C23semidirect
257. (C22⋊D79)⋊C4C23semidirect
258. (C22⋊D79)⋊C4C23semidirect
259. (C22⋊D79)⋊C4C23semidirect
260. #14579120C23semidirect
261. #14579119C23semidirect
262. #14579118C23semidirect
263. #14579117C23semidirect
266. C2×C22⋊Dic79C23semidirect
267. C2×(C2×D79)⋊C4C23semidirect
268. C2×(C2×D79)⋊C4C23semidirect
273. C22⋊C4×D79C23semidirect
274. C22⋊C4×D79C23semidirect
275. C2×C4×Dic79C23semidirect
276. C2×C4×Dic79C23semidirect
280. C42×D79C23semidirect
281. C42×D79C23semidirect
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
322. #11929625C2×D4semidirect
330. #11929624C2×D4semidirect
338. #11929623C2×D4semidirect
443. #41×C79C2×D4semidirect
607. D79#3500direct (N × H)
619. #3500D79direct (N × H)
627. C79C2×#3500semidirect
634. C2×2−1+4C2×D79semidirect
641. C2×H(5,𝔽2)C2×D79semidirect
658. #548C2×D79semidirect
670. #546C2×D79semidirect
678. #536C2×D79semidirect
686. #535C2×D79semidirect
696. #532C2×D79semidirect
710. C2×#124C2×D79semidirect
721. C4×#41C2×D79semidirect
770. C2×#41C22×D79semidirect
771. C2×#41C22×D79semidirect
785. C22×Q8C22×D79semidirect
786. C22×Q8C22×D79semidirect
816. C4⋊Q8C22×D79semidirect
821. #127C22×D79semidirect
839. #124C22×D79semidirect
840. #124C22×D79semidirect
841. #124C22×D79semidirect
842. #124C22×D79semidirect
848. #123C22×D79semidirect
854. C22⋊Q8C22×D79semidirect
867. #121C22×D79semidirect
868. #121C22×D79semidirect
874. #120C22×D79semidirect
878. C4×Q8C22×D79semidirect
891. C4×D4C22×D79semidirect
892. C4×D4C22×D79semidirect
897. #117C22×D79semidirect
909. C2×C22⋊C4C22×D79semidirect
918. C2×C42C22×D79semidirect
952. #41D4×D79semidirect

Maximal subgroups

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

subgroupindex
C2×2−1+4×D792
C2×H(5,𝔽2)×D792
#237771942
#237771932
#237771922
#237771912
#237771902
#237771892
#237771882
#237771872
#237771862
#548×D792
#546×D792
#536×D792
#535×D792
#532×D792
C2×#124×D792
C4×#41×D792
C79×#35002
C2×#350079