Finite Group Databasebeta

← #35197436

Subgroups — #35197436

Order 20224.

7082 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#23777501C212yesmaximal, complemented
2#23777479C212yesmaximal, complemented
3#23777470C216yesmaximal, complemented
4#23777439C216yesmaximal, complemented
5#23777411C212yesmaximal, complemented
6#23777395C212yesmaximal, complemented
7#23777351C216yesmaximal, complemented
8#23777328C216yesmaximal, complemented
9#23777311C213yesmaximal, complemented
10#23777296C213yesmaximal, complemented
11#23777219C211yesmaximal, characteristic, complemented
12#23777193C211yesmaximal, characteristic, complemented
13#23777152C213yesmaximal, complemented
14#23777135C213yesmaximal, complemented
15#23777080C211yesmaximal, characteristic, complemented
16#23777069C211yesmaximal, characteristic, complemented
17#23776827C213yesmaximal, complemented
18#23776816C213yesmaximal, complemented
19#23776790C213yesmaximal, complemented
20C2×#19099184C213yesmaximal, complemented
21C4×#14579208C211yesmaximal, characteristic, complemented
22C4×#14579207C211yesmaximal, characteristic, complemented
23C79×#3428C211yesmaximal, characteristic, complemented
24C2×#14579208C2211yescharacteristic
25C2×#14579207C2211yescharacteristic
26#19099296C2216yescomplemented
27#19099296C2216yescomplemented
28Q8×Dic158C2212yescomplemented
29#19099292C2212yescomplemented
30#19099286C2216yescomplemented
31#19099285C2216yescomplemented
32#19099285C2216yescomplemented
33#19099281C2216yescomplemented
34#19099278C2216yescomplemented
35#19099276C2216yescomplemented
36#19099273C2216yescomplemented
37#19099270C2216yescomplemented
38#19099268C2216yescomplemented
39#19099261C2216yescomplemented
40#19099259C22112yescomplemented
41#19099257C2216yescomplemented
42#19099252C2216yescomplemented
43#19099248C2216yescomplemented
44#19099246C22112yescomplemented
45#19099242C22112yescomplemented
46#19099242C22112yescomplemented
47#19099239C22112yescomplemented
48#19099237C22112yescomplemented
49#19099232C2212yes—
50D4×Dic158C2216yescomplemented
51Q8×C22⋊D79C2212yescomplemented
52#19099225C2212yescomplemented
53#19099225C2212yescomplemented
54#19099224C2212yes—
55#19099222C22112yescomplemented
56#19099220C2212yescomplemented
57#19099218C2216yescomplemented
58#19099214C2216yescomplemented
59#19099212C2216yescomplemented
60#19099208C2216yescomplemented
61#19099208C2216yescomplemented
62#19099207C2216yescomplemented
63#19099203C22112yescomplemented
64#19099201C2216yes—
65D4×C22⋊D79C2216yes—
66#19099191C2213yescomplemented
67#19099191C2213yescomplemented
68#19099185C2216yescomplemented
69#19099184C2213yescomplemented
70#19099184C2216yescomplemented
71#19099184C2216yescomplemented
72#19099184C2216yescomplemented
73#19099184C2216yescomplemented
74#19099184C2216yescomplemented
75#19099184C2216yescomplemented
76#19099184C2216yescomplemented
77#19099184C2213yescomplemented
78#19099184C2211yescharacteristic, complemented
79#19099184C2213yescomplemented
80#19099178C2216yescomplemented
81#19099175C2213yescomplemented
82#19099175C2213yescomplemented
83#19099171C2216yescomplemented
84#19099168C2213yescomplemented
85#19099168C2213yescomplemented
86#19099164C2216yescomplemented
87#19099160C2216yescomplemented
88#19099160C2216yescomplemented
89#19099155C22112yescomplemented
90#19099151C2216yescomplemented
91#19099151C2216yescomplemented
92#19099146C22112yescomplemented
93#19099141C2213yes—
94#19099141C2213yescomplemented
95#19099139C2213yescomplemented
96#19099134C2213yescomplemented
97#19099132C2213yescomplemented
98#19099127C2213yes—
99#19099120C2213yescomplemented
100#19099120C2216yescomplemented
101#19099117C2216yescomplemented
102#19099113C2213yescomplemented
103#19099113C2216yescomplemented
104#19099110C2216yescomplemented
105C2×#14579161C2213yescomplemented
106#19099100C2216yescomplemented
107#19099097C2216yescomplemented
108#19099097C2216yescomplemented
109#19099095C2216yescomplemented
110#19099093C22112yescomplemented
111#19099091C2216yescomplemented
112#19099091C2216yescomplemented
113#19099091C2216yescomplemented
114#19099091C2216yescomplemented
115C2×#14579156C2216yescomplemented
116C2×#14579149C2213yescomplemented
117C2×#14579147C2216yescomplemented
118#19099074C2213yes—
119#19099074C2213yescomplemented
120#19099072C22112yescomplemented
121C2×#14579143C2216yescomplemented
122C2×#14579140C2213yescomplemented
123C2×#14579139C2216yescomplemented
124C2×#14579135C2213yes—
125#19099046C2211yescharacteristic
126#19099046C2211yescharacteristic
127#19099045C2212yescomplemented
128#19099043C2213yescomplemented
129#19099043C2213yescomplemented
130#19099042C2216yescomplemented
131#19099040C2213yescomplemented
132#19099039C2212yescomplemented
133#19099037C2213yescomplemented
134#19099035C2216yescomplemented
135C4×#11929625C2212yescomplemented
136C4×#11929624C2213yescomplemented
137C4×#11929624C2213yescomplemented
138C4×#11929623C2216yescomplemented
139C2×C4×Dic158C2213yescomplemented
140C4×Q8×D79C2212yescomplemented
141C2×C4×D316C2213yescomplemented
142C4×D4×D79C2216yescomplemented
143C22×#41×C79C2211yescharacteristic
144#520×C79C2213yescomplemented
145#520×C79C2213yescomplemented
146#520×C79C2211yescharacteristic, complemented
147#520×C79C2211yescharacteristic, complemented
148#519×C79C2211yescharacteristic, complemented
149#519×C79C2211yescharacteristic, complemented
150#518×C79C2213yescomplemented
151#518×C79C2213yescomplemented
152C4×#41×C79C2211yescharacteristic
153C4×#41×C79C2211yescharacteristic
154C4×#41×C79C2213yescomplemented
155C4×#41×C79C2213yescomplemented
156C2×#117×C79C2213yescomplemented
157C2×#117×C79C2213yescomplemented
158#14579208—28no—
159#14579207—28no—
160C2×#11929625C2312yes—
161C2×#11929624C2313yes—
162C2×#11929624C2313yes—
163C2×#11929624C23112yes—
164C2×#11929623C2316yes—
165C22×Dic158C2313yes—
166C22×Dic158C2316yes—
167C2×Q8×D79C2312yes—
168C22×D316C2313yes—
169C22×C22⋊D79C2316yes—
170C2×D4×D79C2316yes—
171C22×C4×D79C2316yes—
172#14579161C2313yes—
173#14579161C2313yes—
174#14579161C2311yescharacteristic
175#14579161C2316yes—
176#14579161C2316yes—
177#14579161C2316yes—
178#14579160C2316yes—
179#14579160C2316yes—
180#14579159C2316yes—
181#14579158C2313yes—
182#14579157C2316yes—
183#14579156C23112yes—
184#14579156C2312yes—
185#14579156C2316yes—
186#14579156C2316yes—
187#14579156C2316yes—
188#14579156C23112yes—
189#14579156C23112yes—
190#14579155C23112yes—
191#14579155C23112yes—
192#14579154C2316yes—
193#14579154C2316yes—
194#14579154C2316yes—
195#14579154C2316yes—
196#14579153C23112yes—
197#14579153C2313yes—
198#14579153C2313yes—
199#14579152C2316yes—
200#14579152C2316yes—
201#14579151C2316yes—
202#14579151C2316yes—
203#14579151C2316yes—
204#14579151C2316yes—
205#14579150C2316yes—
206#14579149C2316yes—
207#14579149C23112yes—
208#14579149C2313yes—
209#14579149C2311yescharacteristic
210#14579149C2316yes—
211#14579149C2316yes—
212#14579148C2316yes—
213#14579147C23112yes—
214#14579147C2312yes—
215#14579147C2316yes—
216#14579147C2316yes—
217#14579147C2316yes—
218#14579147C23112yes—
219#14579147C23112yes—
220#14579146C2316yes—
221#14579146C2316yes—
222#14579146C2316yes—
223#14579146C2316yes—
224#14579145C23112yes—
225#14579144C23112yes—
226#14579144C23112yes—
227#14579144C2316yes—
228#14579144C2316yes—
229#14579143C2312yes—
230#14579143C2316yes—
231#14579143C2316yes—
232#14579143C2316yes—
233#14579143C23112yes—
234#14579143C23112yes—
235#14579143C23112yes—
236#14579142C23112yes—
237#14579141C2316yes—
238#14579141C2316yes—
239#14579140C2313yes—
240#14579140C2316yes—
241#14579140C2316yes—
242#14579140C2316yes—
243#14579140C23112yes—
244#14579140C2311yescharacteristic
245#14579140C2313yes—
246#14579140C2313yes—
247#14579140C2316yes—
248#14579140C2316yes—
249#14579139C23112yes—
250#14579139C2312yes—
251#14579139C2316yes—
252#14579139C2316yes—
253#14579139C2316yes—
254#14579139C23112yes—
255#14579139C23112yes—
256#14579138C23112yes—
257#14579138C23112yes—
258#14579137C2316yes—
259#14579137C2316yes—
260#14579136C2316yes—
261#14579136C2316yes—
262#14579135C2316yes—
263#14579135C2313yes—
264#14579135C23112yes—
265#14579135C2316yes—
266#14579135C2316yes—
267#14579135C2311yescharacteristic
268#14579135C2313yes—
269#14579135C2313yes—
270#14579135C2316yes—
271#14579135C2316yes—
272#14579134C2316yes—
273#14579134C2316yes—
274#14579134C2316yes—
275#14579134C2316yes—
276#14579133C23112yes—
277#14579133C23112yes—
278#14579132C2316yes—
279#14579132C2316yes—
280#14579131C23112yes—
281#14579130C2316yes—
282#14579130C2316yes—
283#14579129C23112yes—
284Q8×Dic79C2312yes—
285Q8×Dic79C2312yes—
286C4×Dic158C2316yes—
287C4×Dic158C2311yescharacteristic
288C4×Dic158C2313yes—
289C4×Dic158C2313yes—
290C4×Dic158C2313yes—
291C4×Dic158C2316yes—
292C4×Dic158C2316yes—
293C4×Dic158C23112yes—
294C4×Dic158C2316yes—
295C4×Dic158C2316yes—
296#14579126C2316yes—
297#14579126C2316yes—
298C4×D316C2316yes—
299C4×D316C2311yescharacteristic
300C4×D316C2313yes—
301C4×D316C2313yes—
302C4×D316C2313yes—
303C4×D316C2316yes—
304C4×D316C2316yes—
305C4×D316C2316yes—
306C4×D316C2316yes—
307C4×D316C23112yes—
308D4×Dic79C2316yes—
309D4×Dic79C2316yes—
310#14579123C2316yes—
311#14579123C2316yes—
312C4×C22⋊D79C2316yes—
313C4×C22⋊D79C2316yes—
314C4×C22⋊D79C2316yes—
315C4×C22⋊D79C2316yes—
316C4×C22⋊D79C2316yes—
317C4×C22⋊D79C2316yes—
318C4×C22⋊D79C23112yes—
319C4×C22⋊D79C2316yes—
320C4×C22⋊D79C2316yes—
321C4×C22⋊D79C23112yes—
322(C22⋊D79)⋊C4C23112yes—
323(C22⋊D79)⋊C4C23112yes—
324#14579120C2313yes—
325#14579120C2313yes—
326#14579120C23112yes—
327#14579119C2316yes—
328#14579119C2316yes—
329#14579118C2316yes—
330#14579118C2316yes—
331#14579118C23112yes—
332#14579118C23112yes—
333#14579117C23112yes—
334C2×C4⋊Dic79C2313yes—
335C2×C4⋊Dic79C2313yes—
336C2×C4⋊Dic79C2316yes—
337C2×Dic79⋊C4C2316yes—
338C2×Dic79⋊C4C2316yes—
339C4⋊C4×D79C2316yes—
340C4⋊C4×D79C2316yes—
341C2×C22⋊Dic79C2316yes—
342C2×(C2×D79)⋊C4C2316yes—
343C2×(C2×D79)⋊C4C2316yes—
344C2×(C2×D79)⋊C4C2316yes—
345C2×(C2×D79)⋊C4C2316yes—
346C22⋊C4×D79C23112yes—
347C2×C4×Dic79C2316yes—
348C42×D79C2316yes—
349C42×D79C2316yes—
350C2×#41×C79—28no—
351C2×#41×C79C2313yes—
352C2×#41×C79C2313yes—
353C2×#41×C79C2311yescharacteristic
354C2×#41×C79C2311yescharacteristic
355C22×Q8×C79C2311yescharacteristic
356C22×D4×C79C2313yes—
357C23×C4×C79C2313yes—
358C4×Q8×C79C2313yes—
359C4×Q8×C79C2313yes—
360C4×Q8×C79C2311yescharacteristic
361C4×Q8×C79C2311yescharacteristic
362C4×Q8×C79C2311yescharacteristic
363C4×Q8×C79C2311yescharacteristic
364C4×Q8×C79C2313yes—
365C4×Q8×C79C2313yes—
366C4×D4×C79C2316yes—
367C4×D4×C79C2316yes—
368C4×D4×C79C2313yes—
369C4×D4×C79C2313yes—
370C4×D4×C79C2313yes—
371C4×D4×C79C2313yes—
372C4×D4×C79C2313yes—
373C4×D4×C79C2316yes—
374C4×D4×C79C2313yes—
375C4×D4×C79C2313yes—
376C4×D4×C79C2316yes—
377C4×D4×C79C2313yes—
378#117×C79C2313yes—
379#117×C79C2313yes—
380#117×C79C2313yes—
381#117×C79C2311yescharacteristic
382#117×C79C2313yes—
383#117×C79C2313yes—
384#117×C79C2313yes—
385#117×C79C2313yes—
386#117×C79C2313yes—
387#117×C79C2313yes—
388#117×C79C2313yes—
389#117×C79C2313yes—
390#117×C79C2316yes—
391C2×C4⋊C4×C79C2313yes—
392C2×C4⋊C4×C79C2313yes—
393C2×C4⋊C4×C79C2313yes—
394C2×C4⋊C4×C79C2313yes—
395C2×C22⋊C4×C79C2313yes—
396C2×C22⋊C4×C79C2313yes—
397C2×C22⋊C4×C79C2316yes—
398C2×C42×C79C2313yes—
399C2×C42×C79C2313yes—
400C2×C42×C79C2316yes—
401C23×D79C2416yes—
402#11929625—28no—
403#11929624—212no—
404#11929624—212no—
405#11929624—812no—
406#11929623—224no—
407C2×Dic158—212no—
408C2×Dic158—86no—
409C2×Dic158C2416yes—
410C2×Dic158C2413yes—
411C2×Dic158C2411yescharacteristic
412C2×Dic158C2416yes—
413C2×Dic158C24112yes—
414C2×Dic158C2412yes—
415Q8×D79—28no—
416C2×D316—212no—
417C2×D316C2411yescharacteristic
418C2×D316C2413yes—
419C2×D316C2416yes—
420C2×D316C2416yes—
421C2×D316C2416yes—
422C2×C22⋊D79—86no—
423C2×C22⋊D79C2416yes—
424C2×C22⋊D79C2416yes—
425C2×C22⋊D79C2416yes—
426C2×C22⋊D79C24112yes—
427C2×C22⋊D79C2416yes—
428C2×C22⋊D79C2412yes—
429C2×C22⋊D79C2416yes—
430D4×D79—224no—
431C22×Dic79C2416yes—
432C22×Dic79C2416yes—
433C22×Dic79C2416yes—
434C2×C4×D79—86no—
435C2×C4×D79C2416yes—
436C2×C4×D79C2416yes—
437C2×C4×D79C2416yes—
438C2×C4×D79C24112yes—
439C2×C4×D79C2412yes—
440C2×C4×D79C2416yes—
441C2×C4×D79C2416yes—
442C4⋊Dic79C2416yes—
443C4⋊Dic79C2416yes—
444C4⋊Dic79C2413yes—
445C4⋊Dic79C2413yes—
446C4⋊Dic79C2416yes—
447C4⋊Dic79C24112yes—
448C4⋊Dic79C2411yescharacteristic
449C4⋊Dic79C2411yescharacteristic
450C4⋊Dic79C2416yes—
451C4⋊Dic79C2416yes—
452C4⋊Dic79C2412yes—
453Dic79⋊C4C2416yes—
454Dic79⋊C4C24112yes—
455Dic79⋊C4C2416yes—
456Dic79⋊C4C2416yes—
457Dic79⋊C4C24112yes—
458Dic79⋊C4C2416yes—
459Dic79⋊C4C2412yes—
460Dic79⋊C4C2416yes—
461Dic79⋊C4C2416yes—
462Dic79⋊C4C2416yes—
463Dic79⋊C4C2412yes—
464Dic79⋊C4C2416yes—
465Dic79⋊C4C2416yes—
466Dic79⋊C4C2416yes—
467C22⋊Dic79C2416yes—
468C22⋊Dic79C2416yes—
469C22⋊Dic79C24112yes—
470C22⋊Dic79C2416yes—
471C22⋊Dic79C2416yes—
472C22⋊Dic79C2412yes—
473C22⋊Dic79C2416yes—
474(C2×D79)⋊C4C2416yes—
475(C2×D79)⋊C4C24112yes—
476(C2×D79)⋊C4C2416yes—
477(C2×D79)⋊C4C2416yes—
478(C2×D79)⋊C4C2416yes—
479(C2×D79)⋊C4C2416yes—
480(C2×D79)⋊C4C24112yes—
481(C2×D79)⋊C4C24112yes—
482(C2×D79)⋊C4C24112yes—
483(C2×D79)⋊C4C2412yes—
484(C2×D79)⋊C4C2416yes—
485(C2×D79)⋊C4C2416yes—
486(C2×D79)⋊C4C2412yes—
487(C2×D79)⋊C4C2416yes—
488(C2×D79)⋊C4C2412yes—
489(C2×D79)⋊C4C2412yes—
490C4×Dic79C2412yes—
491C4×Dic79C2416yes—
492C4×Dic79C2416yes—
493C4×Dic79C2416yes—
494C4×Dic79C2416yes—
495C4×Dic79C2416yes—
496C4×Dic79C24112yes—
497C24×C79C2413yes—
498#41×C79—24no—
499#41×C79—212no—
500#41×C79—212no—
501#41×C79#4118yescomplemented
502C2×Q8×C79—24no—
503C2×Q8×C79C2413yes—
504C2×Q8×C79C2411yescharacteristic
505C2×D4×C79—212no—
506C2×D4×C79C2416yes—
507C2×D4×C79C2413yes—
508C2×D4×C79C2413yes—
509C22×C4×C79—212no—
510C22×C4×C79C2413yes—
511C22×C4×C79C2413yes—
512C22×C4×C79C2413yes—
513C22×C4×C79C2411yescharacteristic
514C22×C4×C79C2413yes—
515C22×C4×C79C2413yes—
516C22×C4×C79C2416yes—
517C22×C4×C79C2413yes—
518C22×C4×C79C2413yes—
519C22×C4×C79C2413yes—
520C22×C4×C79C2416yes—
521C22×C4×C79C2413yes—
522C4⋊C4×C79C2411yescharacteristic
523C4⋊C4×C79C2413yes—
524C4⋊C4×C79C2411yescharacteristic
525C4⋊C4×C79C2413yes—
526C4⋊C4×C79C2413yes—
527C4⋊C4×C79C2413yes—
528C4⋊C4×C79C2413yes—
529C4⋊C4×C79C2413yes—
530C4⋊C4×C79C2413yes—
531C4⋊C4×C79C2413yes—
532C4⋊C4×C79C2413yes—
533C4⋊C4×C79C2413yes—
534C22⋊C4×C79C2413yes—
535C22⋊C4×C79C2413yes—
536C22⋊C4×C79C2411yescharacteristic
537C22⋊C4×C79C2411yescharacteristic
538C22⋊C4×C79C2416yes—
539C22⋊C4×C79C2416yes—
540C22⋊C4×C79C2413yes—
541C22⋊C4×C79C2413yes—
542C22⋊C4×C79C2413yes—
543C22⋊C4×C79C2413yes—
544C42×C79C2411yescharacteristic
545C42×C79C2413yes—
546C42×C79C2411yescharacteristic
547C42×C79C2413yes—
548C42×C79C2413yes—
549C42×C79C2413yes—
550C42×C79C2416yes—
551C42×C79C2416yes—
552C42×C79C2413yes—
553C42×C79C2413yes—
554C23×C79—26no—
555C23×C79—43no—
556C23×C79—43no—
557C23×C79C2511yescharacteristic
558C23×C79C2513yes—
559C23×C79C2513yes—
560C22×D79—212no—
561C22×D79—46no—
562C22×D79—46no—
563C22×D79C2516yes—
564C22×D79C2512yes—
565Q8×C79—26no—
566Q8×C79C2×#4114yes—
567D4×C79—212no—
568D4×C79—26no—
569D4×C79C2×#41112yes—
570C2×C4×C79—26no—
571C2×C4×C79—22no—
572C2×C4×C79—26no—
573C2×C4×C79—26no—
574C2×C4×C79—26no—
575C2×C4×C79—43no—
576C2×C4×C79—43no—
577C2×C4×C79—46no—
578C2×C4×C79—43no—
579C2×C4×C79—43no—
580C2×C4×C79—46no—
581C2×C4×C79C2×#41112yes—
582C2×C4×C79C2511yescharacteristic
583C2×C4×C79C2513yes—
584C2×C4×C79C2511yescharacteristic
585C2×C4×C79C2513yes—
586C2×C4×C79C2513yes—
587C2×C4×C79C2511yescharacteristic
588C2×C4×C79C2511yescharacteristic
589C2×C4×C79C2511yescharacteristic
590C2×C4×C79C2513yes—
591C2×C4×C79C2513yes—
592C2×C4×C79C2513yes—
593C2×C4×C79C2511yescharacteristic
594C22⋊D79—212no—
595C22⋊D79—212no—
596C22⋊D79—46no—
597C22⋊D79—412no—
598C22⋊D79—46no—
599C22⋊D79—42no—
600C22⋊D79—46no—
601C2×Dic79—212no—
602C2×Dic79—46no—
603C2×Dic79—46no—
604C2×Dic79C2512yes—
605C2×Dic79C2516yes—
606C2×Dic79C2512yes—
607C2×Dic79C2516yes—
608C2×Dic79C2512yes—
609C2×Dic79C2516yes—
610D316—212no—
611D316—26no—
612D316—22no—
613D316—46no—
614D316—46no—
615C4×D79—212no—
616C4×D79—212no—
617C4×D79—46no—
618C4×D79—412no—
619C4×D79—42no—
620C4×D79—46no—
621C4×D79—46no—
622Dic158—212no—
623Dic158—26no—
624Dic158—22no—
625Dic158—46no—
626Dic158—412no—
627Dic158—42no—
628C22×C79—23no—
629C22×C79—23no—
630C22×C79—21no—
631C22×C79—23no—
632C22×C79—23no—
633C22×C79—21no—
634C22×C79—23no—
635C22×C79—21no—
636C22×C79—86no—
637C22×C79C22×#4116yes—
638C22×C79C2611yescharacteristic
639C2×D79—22no—
640C2×D79—26no—
641C2×D79—26no—
642C2×D79—22no—
643C2×D79—26no—
644C2×D79—22no—
645C2×D79—812no—
646C4×C79—21no—
647C4×C79—23no—
648C4×C79—21no—
649C4×C79—23no—
650C4×C79—21no—
651C4×C79—23no—
652C4×C79—21no—
653C4×C79—21no—
654C4×C79—23no—
655C4×C79—23no—
656C4×C79C22×#4112yes—
657C4×C79C22×#4116yes—
658Dic79—22no—
659Dic79—26no—
660Dic79—26no—
661Dic79—26no—
662Dic79—22no—
663Dic79—22no—
664#62857—791nomaximal, Sylow
665C2×C79—26no—
666C2×C79—43no—
667C2×C79—41no—
668C2×C79C23×#4111yescharacteristic
669C2×C79H(7,𝔽2)11yescharacteristic
670C2×C792−1+611yescharacteristic
671D79—42no—
672D79—46no—
673#3524—792no—
674#3522—792no—
675#3521—796no—
676#3520—796no—
677#3518—792no—
678#3516—792no—
679#3514—796no—
680#3513—796no—
681#3511—793no—
682#3510—793no—
683#3503—791no—
684#3500—791no—
685#3495—793no—
686#3494—793no—
687#3489—791no—
688#3488—791no—
689#3461—793no—
690#3460—793no—
691#3455—793no—
692C2×#542—793no—
693C4×2−1+4—791no—
694C4×H(5,𝔽2)—791no—
695#3428D7911yescharacteristic, complemented
696C79#6285711yescharacteristic, complemented, Sylow
697C2×2−1+4—791no—
698C2×H(5,𝔽2)—791no—
699C22×#41C2×D7911yescharacteristic
700#559—796no—
701#559—796no—
702Q82—792no—
703#557—792no—
704#556—796no—
705#556—796no—
706#556—796no—
707#556—796no—
708#555—796no—
709#555—796no—
710#554—796no—
711#554—796no—
712#554—796no—
713#553—7912no—
714#553—796no—
715#553—796no—
716#552—7912no—
717#552—796no—
718#552—796no—
719#551—7912no—
720#551—7912no—
721#551—7912no—
722#551—7912no—
723#550—792no—
724D4×Q8—792no—
725D4×Q8—796no—
726#548—792no—
727#548—792no—
728#548—792no—
729#548—792no—
730#548—7912no—
731#547—796no—
732#547—796no—
733#547—796no—
734#546—796no—
735#546—796no—
736#546—796no—
737#546—796no—
738#546—7912no—
739D42—796no—
740#544—793no—
741#544—793no—
742#542—796no—
743#542—796no—
744#542—793no—
745#542—796no—
746#542—796no—
747#542—796no—
748#542—796no—
749#542—796no—
750#542—796no—
751#542—796no—
752#542—791no—
753#542—793no—
754#542—793no—
755#541—796no—
756#541—793no—
757#541—793no—
758#540—796no—
759#540—793no—
760#540—793no—
761#539—7912no—
762#539—796no—
763#539—796no—
764#538—7912no—
765#538—796no—
766#538—796no—
767#537—793no—
768#537—793no—
769#536—793no—
770#536—793no—
771#535—793no—
772#535—793no—
773#533—796no—
774#533—793no—
775#533—796no—
776#532—796no—
777#532—793no—
778#532—796no—
779C2×C4⋊Q8—793no—
780#529—796no—
781#529—796no—
782#529—7912no—
783#529—796no—
784#529—796no—
785#529—796no—
786#529—796no—
787#529—796no—
788#529—796no—
789C2×#126—796no—
790C2×#124—796no—
791C2×#124—793no—
792#525—793no—
793#525—793no—
794#525—7912no—
795C2×#123—796no—
796C2×C22⋊Q8—793no—
797C2×C22⋊Q8—796no—
798C2×#121—793no—
799#520—791no—
800#520—791no—
801#520—792no—
802#520—796no—
803#520—793no—
804#520—793no—
805#520C2×D7913yescomplemented
806#520C2×D7913yescomplemented
807#520C2×D7911yescharacteristic, complemented
808#520C2×D7911yescharacteristic, complemented
809#519—792no—
810#519—793no—
811#519C2×D7911yescharacteristic, complemented
812#519C2×D7911yescharacteristic, complemented
813#518—796no—
814#518—793no—
815#518C2×D7913yescomplemented
816#518C2×D7913yescomplemented
817C4×#41—792no—
818C4×#41—796no—
819C4×#41—793no—
820C4×#41—793no—
821C4×#41C2×D7911yescharacteristic
822C4×#41C2×D7911yescharacteristic
823C4×#41C2×D7913yescomplemented
824C4×#41C2×D7913yescomplemented
825C2×C4×Q8—792no—
826C2×C4×Q8—793no—
827C2×C4×D4—796no—
828C2×C4×D4—793no—
829C2×#117C2×D7913yescomplemented
830C2×#117C2×D7913yescomplemented
8312−1+4—1588no—
832H(5,𝔽2)—1588no—
833C2×#41—28no—
834C2×#41—792no—
835C2×#41—796no—
836C2×#41—7912no—
837C2×#41—793no—
838C2×#41—793no—
839C2×#41C22×D7913yes—
840C2×#41C22×D7913yes—
841C2×#41C22×D7911yescharacteristic
842C2×#41C22×D7911yescharacteristic
843C22×Q8—792no—
844C22×Q8—796no—
845C22×Q8—793no—
846C22×Q8C22×D7911yescharacteristic
847C22×D4—796no—
848C22×D4—796no—
849C22×D4—793no—
850C22×D4C22×D7913yes—
851C23×C4—796no—
852C23×C4C22×D7913yes—
853C4⋊Q8—796no—
854C4⋊Q8—796no—
855C4⋊Q8—796no—
856C4⋊Q8—793no—
857C4⋊Q8—796no—
858C4⋊Q8—796no—
859C4⋊Q8—796no—
860C4⋊Q8—793no—
861C4⋊Q8—791no—
862#127—796no—
863#127—793no—
864#126—796no—
865#126—7912no—
866#126—7912no—
867#126—7912no—
868#126—792no—
869#126—796no—
870#126—796no—
871#126—796no—
872#126—796no—
873#126—796no—
874#126—796no—
875#126—7912no—
876#126—7912no—
877#125—796no—
878#125—796no—
879#125—796no—
880#125—796no—
881#125—796no—
882#125—796no—
883#125—793no—
884#125—793no—
885#125—7912no—
886#124—796no—
887#124—796no—
888#124—796no—
889#124—7912no—
890#124—7912no—
891#124—7912no—
892#124—792no—
893#124—796no—
894#124—796no—
895#124—793no—
896#124—796no—
897#124—796no—
898#124—796no—
899#124—791no—
900#124—7912no—
901#123—7912no—
902#123—796no—
903#123—796no—
904#123—7912no—
905#123—7912no—
906#123—796no—
907#123—796no—
908#123—796no—
909#123—796no—
910#123—796no—
911#123—7912no—
912#123—7912no—
913#123—7912no—
914#123—792no—
915#123—7912no—
916#123—796no—
917#123—796no—
918C22⋊Q8—796no—
919C22⋊Q8—796no—
920C22⋊Q8—793no—
921C22⋊Q8—796no—
922C22⋊Q8—796no—
923C22⋊Q8—796no—
924C22⋊Q8—791no—
925C22⋊Q8—793no—
926C22⋊Q8—793no—
927C22⋊Q8—796no—
928C22⋊Q8—796no—
929C22⋊Q8—7912no—
930C22⋊Q8—796no—
931C22⋊Q8—7912no—
932C22⋊Q8—7912no—
933C22⋊Q8—7912no—
934C22⋊Q8—792no—
935C22⋊Q8—796no—
936C22⋊Q8—796no—
937C22⋊Q8—796no—
938C22⋊Q8—796no—
939C22⋊Q8—7912no—
940C22⋊Q8—7912no—
941#121—7912no—
942#121—7912no—
943#121—796no—
944#121—796no—
945#121—793no—
946#121—796no—
947#121—796no—
948#121—796no—
949#121—791no—
950#121—793no—
951#121—793no—
952#121—796no—
953#121—796no—
954#121—7912no—
955#121—796no—
956#121—796no—
957#121—796no—
958#121—796no—
959#121—796no—
960#121—796no—
961#120—796no—
962#120—796no—
963#120—7912no—
964#120—7912no—
965C4×Q8—792no—
966C4×Q8—792no—
967C4×Q8—796no—
968C4×Q8—796no—
969C4×Q8—796no—
970C4×Q8—793no—
971C4×Q8—796no—
972C4×Q8—796no—
973C4×Q8—791no—
974C4×Q8—793no—
975C4×Q8—793no—
976C4×Q8—796no—
977C4×Q8—796no—
978C4×Q8—7912no—
979C4×Q8C22×D7911yescharacteristic
980C4×Q8C22×D7911yescharacteristic
981C4×Q8C22×D7911yescharacteristic
982C4×Q8C22×D7911yescharacteristic
983C4×Q8C22×D7913yes—
984C4×Q8C22×D7913yes—
985C4×Q8C22×D7913yes—
986C4×Q8C22×D7913yes—
987C4×D4—796no—
988C4×D4—796no—
989C4×D4—796no—
990C4×D4—796no—
991C4×D4—796no—
992C4×D4—796no—
993C4×D4—796no—
994C4×D4—796no—
995C4×D4—796no—
996C4×D4—796no—
997C4×D4—7912no—
998C4×D4—7912no—
999C4×D4—796no—
1000C4×D4—796no—
1001C4×D4—7912no—
1002C4×D4—7912no—
1003C4×D4—796no—
1004C4×D4—793no—
1005C4×D4—796no—
1006C4×D4—796no—
1007C4×D4—791no—
1008C4×D4—793no—
1009C4×D4—793no—
1010C4×D4—7912no—
1011C4×D4—796no—
1012C4×D4—796no—
1013C4×D4C22×D7913yes—
1014C4×D4C22×D7913yes—
1015C4×D4C22×D7913yes—
1016C4×D4C22×D7913yes—
1017C4×D4C22×D7916yes—
1018C4×D4C22×D7916yes—
1019C4×D4C22×D7913yes—
1020C4×D4C22×D7913yes—
1021C4×D4C22×D7913yes—
1022C4×D4C22×D7916yes—
1023C4×D4C22×D7916yes—
1024C4×D4C22×D7913yes—
1025#117—793no—
1026#117—793no—
1027#117—7912no—
1028#117—796no—
1029#117—796no—
1030#117—7912no—
1031#117—796no—
1032#117—796no—
1033#117—7912no—
1034#117—7912no—
1035#117C22×D7913yes—
1036#117C22×D7911yescharacteristic
1037#117C22×D7913yes—
1038#117C22×D7913yes—
1039#117C22×D7913yes—
1040#117C22×D7913yes—
1041#117C22×D7913yes—
1042#117C22×D7913yes—
1043#117C22×D7913yes—
1044#117C22×D7913yes—
1045#117C22×D7913yes—
1046#117C22×D7913yes—
1047#117C22×D7916yes—
1048C2×C4⋊C4—793no—
1049C2×C4⋊C4—793no—
1050C2×C4⋊C4—796no—
1051C2×C4⋊C4—796no—
1052C2×C4⋊C4—796no—
1053C2×C4⋊C4—796no—
1054C2×C4⋊C4—796no—
1055C2×C4⋊C4C22×D7913yes—
1056C2×C4⋊C4C22×D7913yes—
1057C2×C4⋊C4C22×D7913yes—
1058C2×C4⋊C4C22×D7913yes—
1059C2×C22⋊C4—796no—
1060C2×C22⋊C4—796no—
1061C2×C22⋊C4—796no—
1062C2×C22⋊C4—796no—
1063C2×C22⋊C4—796no—
1064C2×C22⋊C4—7912no—
1065C2×C22⋊C4C22×D7913yes—
1066C2×C22⋊C4C22×D7913yes—
1067C2×C22⋊C4C22×D7916yes—
1068C2×C42—796no—
1069C2×C42—796no—
1070C2×C42—796no—
1071C2×C42C22×D7913yes—
1072C2×C42C22×D7913yes—
1073C2×C42C22×D7916yes—
1074C24—796no—
1075C24C23×D7913yes—
1076#41—24no—
1077#41—212no—
1078#41—212no—
1079#41—63212no—
1080#41—1588no—
1081#41—15824no—
1082#41—15812no—
1083#41—15812no—
1084#41#1192962418yescomplemented
1085C2×Q8—24no—
1086C2×Q8—792no—
1087C2×Q8—796no—
1088C2×Q8—7912no—
1089C2×Q8—796no—
1090C2×Q8—793no—
1091C2×Q8—791no—
1092C2×Q8—6326no—
1093C2×Q8—1588no—
1094C2×Q8—15812no—
1095C2×Q8C23×D7913yes—
1096C2×Q8C23×D7911yescharacteristic
1097C2×D4—212no—
1098C2×D4—792no—
1099C2×D4—796no—
1100C2×D4—796no—
1101C2×D4—796no—
1102C2×D4—7912no—
1103C2×D4—796no—
1104C2×D4—796no—
1105C2×D4—796no—
1106C2×D4—796no—
1107C2×D4—796no—
1108C2×D4—793no—
1109C2×D4—791no—
1110C2×D4—6326no—
1111C2×D4—15824no—
1112C2×D4—15812no—
1113C2×D4C23×D7916yes—
1114C2×D4C23×D7913yes—
1115C2×D4C23×D7913yes—
1116C22×C4—212no—
1117C22×C4—796no—
1118C22×C4—796no—
1119C22×C4—792no—
1120C22×C4—796no—
1121C22×C4—796no—
1122C22×C4—796no—
1123C22×C4—7912no—
1124C22×C4—796no—
1125C22×C4—796no—
1126C22×C4—796no—
1127C22×C4—6326no—
1128C22×C4C23×D7913yes—
1129C22×C4C23×D7913yes—
1130C22×C4C23×D7913yes—
1131C22×C4C23×D7913yes—
1132C22×C4C23×D7911yescharacteristic
1133C22×C4C23×D7913yes—
1134C22×C4C23×D7913yes—
1135C22×C4C23×D7913yes—
1136C22×C4C23×D7913yes—
1137C22×C4C23×D7916yes—
1138C22×C4C23×D7916yes—
1139C22×C4C23×D7913yes—
1140C4⋊C4—796no—
1141C4⋊C4—7912no—
1142C4⋊C4—796no—
1143C4⋊C4—796no—
1144C4⋊C4—7912no—
1145C4⋊C4—792no—
1146C4⋊C4—796no—
1147C4⋊C4—796no—
1148C4⋊C4—796no—
1149C4⋊C4—796no—
1150C4⋊C4—792no—
1151C4⋊C4—796no—
1152C4⋊C4—796no—
1153C4⋊C4—796no—
1154C4⋊C4—796no—
1155C4⋊C4—793no—
1156C4⋊C4—796no—
1157C4⋊C4—793no—
1158C4⋊C4—796no—
1159C4⋊C4—7912no—
1160C4⋊C4—791no—
1161C4⋊C4—791no—
1162C4⋊C4—796no—
1163C4⋊C4—796no—
1164C4⋊C4—792no—
1165C4⋊C4C23×D7913yes—
1166C4⋊C4C23×D7911yescharacteristic
1167C4⋊C4C23×D7913yes—
1168C4⋊C4C23×D7911yescharacteristic
1169C4⋊C4C23×D7913yes—
1170C4⋊C4C23×D7913yes—
1171C4⋊C4C23×D7913yes—
1172C4⋊C4C23×D7913yes—
1173C4⋊C4C23×D7913yes—
1174C4⋊C4C23×D7913yes—
1175C4⋊C4C23×D7913yes—
1176C4⋊C4C23×D7913yes—
1177C22⋊C4—796no—
1178C22⋊C4—796no—
1179C22⋊C4—7912no—
1180C22⋊C4—796no—
1181C22⋊C4—796no—
1182C22⋊C4—792no—
1183C22⋊C4—796no—
1184C22⋊C4—796no—
1185C22⋊C4—7912no—
1186C22⋊C4—796no—
1187C22⋊C4—796no—
1188C22⋊C4—796no—
1189C22⋊C4—796no—
1190C22⋊C4—7912no—
1191C22⋊C4—7912no—
1192C22⋊C4—7912no—
1193C22⋊C4—792no—
1194C22⋊C4—796no—
1195C22⋊C4—796no—
1196C22⋊C4—796no—
1197C22⋊C4—792no—
1198C22⋊C4—792no—
1199C22⋊C4—792no—
1200C22⋊C4C23×D7916yes—
1201C22⋊C4C23×D7913yes—
1202C22⋊C4C23×D7913yes—
1203C22⋊C4C23×D7911yescharacteristic
1204C22⋊C4C23×D7911yescharacteristic
1205C22⋊C4C23×D7916yes—
1206C22⋊C4C23×D7913yes—
1207C22⋊C4C23×D7913yes—
1208C22⋊C4C23×D7913yes—
1209C22⋊C4C23×D7913yes—
1210C42—792no—
1211C42—796no—
1212C42—796no—
1213C42—796no—
1214C42—7912no—
1215C42—796no—
1216C42—796no—
1217C42C23×D7913yes—
1218C42C23×D7913yes—
1219C42C23×D7911yescharacteristic
1220C42C23×D7913yes—
1221C42C23×D7911yescharacteristic
1222C42C23×D7913yes—
1223C42C23×D7916yes—
1224C42C23×D7916yes—
1225C42C23×D7913yes—
1226C42C23×D7913yes—
1227C23—26no—
1228C23—43no—
1229C23—43no—
1230C23—3166no—
1231C23—3166no—
1232C23—796no—
1233C23—792no—
1234C23—15812no—
1235C23C24×D7911yescharacteristic
1236C23C24×D7913yes—
1237C23C24×D7913yes—
1238Q8—26no—
1239Q8—3166no—
1240Q8—31612no—
1241Q8—3162no—
1242Q8—1586no—
1243Q8—15812no—
1244Q8—1582no—
1245Q8C2×#1192962414yes—
1246D4—212no—
1247D4—26no—
1248D4—3166no—
1249D4—3166no—
1250D4—3162no—
1251D4—3166no—
1252D4—3166no—
1253D4—31612no—
1254D4—3166no—
1255D4—15812no—
1256D4—15812no—
1257D4—1586no—
1258D4—15812no—
1259D4—1582no—
1260D4C2×#11929624112yes—
1261C2×C4—26no—
1262C2×C4—22no—
1263C2×C4—26no—
1264C2×C4—26no—
1265C2×C4—26no—
1266C2×C4—43no—
1267C2×C4—43no—
1268C2×C4—46no—
1269C2×C4—43no—
1270C2×C4—43no—
1271C2×C4—46no—
1272C2×C4—3166no—
1273C2×C4—31612no—
1274C2×C4—3166no—
1275C2×C4—3166no—
1276C2×C4—3162no—
1277C2×C4—3166no—
1278C2×C4—3166no—
1279C2×C4—792no—
1280C2×C4—792no—
1281C2×C4—796no—
1282C2×C4—792no—
1283C2×C4—796no—
1284C2×C4—796no—
1285C2×C4—15812no—
1286C2×C4—15812no—
1287C2×C4—15812no—
1288C2×C4C2×#11929624112yes—
1289C2×C4C24×D7911yescharacteristic
1290C2×C4C24×D7913yes—
1291C2×C4C24×D7911yescharacteristic
1292C2×C4C24×D7913yes—
1293C2×C4C24×D7911yescharacteristic
1294C2×C4C24×D7911yescharacteristic
1295C2×C4C24×D7913yes—
1296C2×C4C24×D7913yes—
1297C2×C4C24×D7913yes—
1298C2×C4C24×D7911yescharacteristic
1299C2×C4C24×D7913yes—
1300C2×C4C24×D7911yescharacteristic
1301C22—23no—
1302C22—23no—
1303C22—21no—
1304C22—23no—
1305C22—23no—
1306C22—21no—
1307C22—23no—
1308C22—21no—
1309C22—86no—
1310C22—63212no—
1311C22—1582no—
1312C22—1586no—
1313C22—1582no—
1314C22—1586no—
1315C22—1582no—
1316C22—1586no—
1317C22C22×#1192962416yes—
1318C22C25×D7911yescharacteristic
1319C4—21no—
1320C4—23no—
1321C4—21no—
1322C4—23no—
1323C4—23no—
1324C4—21no—
1325C4—21no—
1326C4—23no—
1327C4—23no—
1328C4—21no—
1329C4—1582no—
1330C4—1586no—
1331C4—1586no—
1332C4—1586no—
1333C4—1582no—
1334C4—1582no—
1335C4C22×#1192962412yes—
1336C4C22×#1192962416yes—
1337C2—26no—
1338C2—41no—
1339C2—43no—
1340C2—3166no—
1341C2—3162no—
1342C2C23×#1192962411yescharacteristic
1343C2#2377821111yescharacteristic
1344C2#2377821311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3428C2
hypercenter#3428D79
hypocenterC79#62857
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3428

Complements

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

NH ≅ G/Ntype
1. #23777501C2semidirect
2. #23777479C2semidirect
3. #23777470C2semidirect
4. #23777439C2semidirect
5. #23777411C2semidirect
6. #23777395C2semidirect
7. #23777351C2semidirect
8. #23777328C2semidirect
9. #23777311C2semidirect
10. #23777296C2semidirect
11. #23777219C2semidirect
12. #23777193C2semidirect
13. #23777152C2semidirect
14. #23777135C2semidirect
15. #23777080C2semidirect
16. #23777069C2semidirect
17. #23776827C2semidirect
18. #23776816C2semidirect
19. #23776790C2semidirect
20. C2×#19099184C2semidirect
21. C4×#14579208C2semidirect
22. C4×#14579207C2semidirect
23. C79×#3428C2semidirect
26. #19099296C22semidirect
27. #19099296C22semidirect
28. Q8×Dic158C22semidirect
29. #19099292C22semidirect
30. #19099286C22semidirect
31. #19099285C22semidirect
32. #19099285C22semidirect
33. #19099281C22semidirect
34. #19099278C22semidirect
35. #19099276C22semidirect
36. #19099273C22semidirect
37. #19099270C22semidirect
38. #19099268C22semidirect
39. #19099261C22semidirect
40. #19099259C22semidirect
41. #19099257C22semidirect
42. #19099252C22semidirect
43. #19099248C22semidirect
44. #19099246C22semidirect
45. #19099242C22semidirect
46. #19099242C22semidirect
47. #19099239C22semidirect
48. #19099237C22semidirect
50. D4×Dic158C22semidirect
51. Q8×C22⋊D79C22semidirect
52. #19099225C22semidirect
53. #19099225C22semidirect
55. #19099222C22semidirect
56. #19099220C22semidirect
57. #19099218C22semidirect
58. #19099214C22semidirect
59. #19099212C22semidirect
60. #19099208C22semidirect
61. #19099208C22semidirect
62. #19099207C22semidirect
63. #19099203C22semidirect
66. #19099191C22semidirect
67. #19099191C22semidirect
68. #19099185C22semidirect
69. #19099184C22semidirect
70. #19099184C22semidirect
71. #19099184C22semidirect
72. #19099184C22semidirect
73. #19099184C22semidirect
74. #19099184C22semidirect
75. #19099184C22semidirect
76. #19099184C22semidirect
77. #19099184C22semidirect
78. #19099184C22semidirect
79. #19099184C22semidirect
80. #19099178C22semidirect
81. #19099175C22semidirect
82. #19099175C22semidirect
83. #19099171C22semidirect
84. #19099168C22semidirect
85. #19099168C22semidirect
86. #19099164C22semidirect
87. #19099160C22semidirect
88. #19099160C22semidirect
89. #19099155C22semidirect
90. #19099151C22semidirect
91. #19099151C22semidirect
92. #19099146C22semidirect
94. #19099141C22semidirect
95. #19099139C22semidirect
96. #19099134C22semidirect
97. #19099132C22semidirect
99. #19099120C22semidirect
100. #19099120C22semidirect
101. #19099117C22semidirect
102. #19099113C22semidirect
103. #19099113C22semidirect
104. #19099110C22semidirect
105. C2×#14579161C22semidirect
106. #19099100C22semidirect
107. #19099097C22semidirect
108. #19099097C22semidirect
109. #19099095C22semidirect
110. #19099093C22semidirect
111. #19099091C22semidirect
112. #19099091C22semidirect
113. #19099091C22semidirect
114. #19099091C22semidirect
115. C2×#14579156C22semidirect
116. C2×#14579149C22semidirect
117. C2×#14579147C22semidirect
119. #19099074C22semidirect
120. #19099072C22semidirect
121. C2×#14579143C22semidirect
122. C2×#14579140C22semidirect
123. C2×#14579139C22semidirect
127. #19099045C22semidirect
128. #19099043C22semidirect
129. #19099043C22semidirect
130. #19099042C22semidirect
131. #19099040C22semidirect
132. #19099039C22semidirect
133. #19099037C22semidirect
134. #19099035C22semidirect
135. C4×#11929625C22semidirect
136. C4×#11929624C22semidirect
137. C4×#11929624C22semidirect
138. C4×#11929623C22semidirect
139. C2×C4×Dic158C22semidirect
140. C4×Q8×D79C22semidirect
141. C2×C4×D316C22semidirect
142. C4×D4×D79C22semidirect
144. #520×C79C22semidirect
145. #520×C79C22semidirect
146. #520×C79C22semidirect
147. #520×C79C22semidirect
148. #519×C79C22semidirect
149. #519×C79C22semidirect
150. #518×C79C22semidirect
151. #518×C79C22semidirect
154. C4×#41×C79C22semidirect
155. C4×#41×C79C22semidirect
156. C2×#117×C79C22semidirect
157. C2×#117×C79C22semidirect
501. #41×C79#41semidirect
695. #3428D79semidirect
696. C79#62857semidirect
805. #520C2×D79semidirect
806. #520C2×D79semidirect
807. #520C2×D79semidirect
808. #520C2×D79semidirect
811. #519C2×D79semidirect
812. #519C2×D79semidirect
815. #518C2×D79semidirect
816. #518C2×D79semidirect
823. C4×#41C2×D79semidirect
824. C4×#41C2×D79semidirect
829. C2×#117C2×D79semidirect
830. C2×#117C2×D79semidirect
1084. #41#11929624semidirect

Maximal subgroups

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

subgroupindex
#237775012
#237774792
#237774702
#237774392
#237774112
#237773952
#237773512
#237773282
#237773112
#237772962
#237772192
#237771932
#237771522
#237771352
#237770802
#237770692
#237768272
#237768162
#237767902
C2×#190991842
C4×#145792082
C4×#145792072
C79×#34282
#6285779