Finite Group Databasebeta

← #35196654

Subgroups — #35196654

Order 20224.

7856 conjugacy classes of subgroups.

The subgroup lattice has 1394 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777479C212yesmaximal, complemented
2#23777422C216yesmaximal, complemented
3#23777400C212yesmaximal, complemented
4#23777351C216yesmaximal, complemented
5#23777303C213yesmaximal, complemented
6#23777271C213yesmaximal, complemented
7#23777213C211yesmaximal, characteristic, complemented
8#23777174C211yesmaximal, characteristic, complemented
9#23777136C213yesmaximal, complemented
10#23777125C213yesmaximal, complemented
11#23777070C211yesmaximal, characteristic, complemented
12#23777062C211yesmaximal, characteristic, complemented
13#23777026C212yesmaximal, complemented
14#23777004C216yesmaximal, complemented
15#23776998C212yesmaximal, complemented
16D4×#11929624C216yesmaximal, complemented
17#23776822C213yesmaximal, complemented
18#23776816C213yesmaximal, complemented
19#23776693C213yesmaximal, complemented
20C2×#19099110C213yesmaximal, complemented
21C4×#14579207C211yesmaximal, characteristic, complemented
22C4×#41×D79C211yesmaximal, characteristic, complemented
23C4×H(5,𝔽2)×C79C211yesmaximal, characteristic, complemented
24C2×#14579207C2211yescharacteristic
25C22×#11929624C2216yescomplemented
26C2×#41×D79C2211yescharacteristic
27#19099296C2216yescomplemented
28#19099296C2216yescomplemented
29Q8×Dic158C2212yescomplemented
30#19099289C2212yescomplemented
31#19099281C2216yescomplemented
32#19099278C2216yescomplemented
33#19099276C2216yescomplemented
34#19099276C2216yescomplemented
35#19099272C2216yescomplemented
36#19099268C2216yescomplemented
37#19099263C2216yescomplemented
38#19099263C2216yescomplemented
39#19099262C22112yescomplemented
40#19099261C2216yescomplemented
41#19099257C2216yescomplemented
42#19099242C22112yescomplemented
43#19099239C22112yescomplemented
44#19099235C2212yescomplemented
45#19099234C2216yescomplemented
46#19099234C2216yescomplemented
47#19099232C2212yescomplemented
48#19099232C2212yescomplemented
49#19099232C2212yescomplemented
50D4×Dic158C2216yescomplemented
51#19099225C2212yescomplemented
52#19099222C22112yescomplemented
53#19099220C2212yescomplemented
54#19099218C2216yescomplemented
55#19099214C2216yescomplemented
56#19099214C2216yescomplemented
57#19099209C22112yescomplemented
58#19099208C2216yescomplemented
59#19099207C2216yescomplemented
60#19099203C22112yescomplemented
61#19099203C22112yescomplemented
62#19099203C22112yescomplemented
63D4×D316C2216yescomplemented
64D4×C22⋊D79C2216yescomplemented
65D4×C22⋊D79C2216yescomplemented
66D4×C22⋊D79C2216yescomplemented
67#19099194C2213yescomplemented
68#19099191C2213yescomplemented
69#19099185C2216yescomplemented
70#19099184C2216yescomplemented
71#19099178C2216yescomplemented
72#19099178C2216yescomplemented
73#19099168C2216yescomplemented
74#19099164C2216yescomplemented
75#19099164C2216yescomplemented
76#19099164C2216yescomplemented
77#19099151C22112yescomplemented
78#19099146C22112yescomplemented
79#19099144C2213yescomplemented
80#19099141C2213yescomplemented
81#19099132C2213yescomplemented
82#19099130C2213yescomplemented
83#19099130C2213yescomplemented
84#19099127C2213yescomplemented
85#19099117C2213yescomplemented
86#19099117C2211yescharacteristic, complemented
87#19099116C2213yescomplemented
88#19099113C2216yescomplemented
89#19099110C2216yescomplemented
90#19099110C2216yescomplemented
91#19099110C2216yescomplemented
92#19099110C2216yescomplemented
93#19099110C2216yescomplemented
94#19099110C2216yescomplemented
95#19099110C2216yescomplemented
96#19099110C2216yescomplemented
97#19099110C2213yescomplemented
98#19099110C2213yescomplemented
99#19099109C2213yescomplemented
100C2×#14579160C2213yescomplemented
101C2×#14579157C2213yescomplemented
102#19099100C2213yescomplemented
103#19099100C2213yescomplemented
104#19099097C2216yescomplemented
105#19099095C2213yescomplemented
106#19099095C2216yescomplemented
107#19099095C2213yescomplemented
108#19099093C2216yescomplemented
109#19099093C2216yescomplemented
110#19099091C2216yescomplemented
111#19099091C2216yescomplemented
112C2×#14579147C2216yescomplemented
113#19099075C2213yescomplemented
114#19099074C22112yescomplemented
115#19099072C22112yescomplemented
116#19099072C2216yescomplemented
117#19099072C2216yescomplemented
118#19099070C2213yescomplemented
119C2×#14579136C2213yescomplemented
120C2×#14579134C2216yescomplemented
121C2×#14579132C2213yescomplemented
122#19099046C2211yescharacteristic
123#19099045C2212yescomplemented
124#19099043C2213yescomplemented
125#19099037C2213yescomplemented
126#19099035C2216yescomplemented
127#41×Dic79C2211yescharacteristic
128C4×#11929625C2211yescharacteristic, complemented
129C4×#11929625C2212yescomplemented
130C4×#11929625C2211yescharacteristic, complemented
131C4×#11929624C2216yescomplemented
132C4×#11929624C2213yescomplemented
133C4×#11929624C2213yescomplemented
134C4×#11929624C2216yescomplemented
135#19099031C2213yescomplemented
136C4×#11929623C2213yescomplemented
137C4×#11929623C2213yescomplemented
138C4×Q8×D79C2211yescharacteristic, complemented
139C4×Q8×D79C2211yescharacteristic, complemented
140C2×C4×D316C2213yescomplemented
141C2×C4×C22⋊D79C2216yescomplemented
142C4×D4×D79C2213yescomplemented
143C4×D4×D79C2213yescomplemented
144C4×D4×D79C2216yescomplemented
145#117×D79C2213yescomplemented
146C2×C42×D79C2213yescomplemented
147C2×H(5,𝔽2)×C79C2211yescharacteristic
148#520×C79C2211yescharacteristic
149#520×C79C2213yescomplemented
150#520×C79C2212yescomplemented
151#518×C79C2216yescomplemented
152#518×C79C2213yescomplemented
153C4×#41×C79C2211yescharacteristic
154C4×#41×C79C2212yescomplemented
155C4×#41×C79C2213yescomplemented
156C2×C4×D4×C79C2213yescomplemented
157C2×C4×D4×C79C2216yescomplemented
158#14579207—28no—
159C2×#11929625C2312yes—
160C2×#11929625C2311yescharacteristic
161C2×#11929624—424no—
162C2×#11929624C2313yes—
163C2×#11929624C2313yes—
164C2×#11929624C2316yes—
165C2×#11929624C2316yes—
166C2×#11929624C23112yes—
167C2×#11929624C23112yes—
168C2×#11929624C23112yes—
169C2×#11929623C2313yes—
170#41×D79—28no—
171C22×Dic158C2316yes—
172C2×Q8×D79C2311yescharacteristic
173C22×D316C2313yes—
174C22×D316C2316yes—
175C22×C22⋊D79C2316yes—
176C22×C22⋊D79C2316yes—
177C22×C22⋊D79C2316yes—
178C2×D4×D79C2316yes—
179C2×D4×D79C2313yes—
180C22×C4×D79C2313yes—
181C22×C4×D79C2313yes—
182C22×C4×D79C2313yes—
183C22×C4×D79C2316yes—
184#14579161C2316yes—
185#14579160C2316yes—
186#14579160C2316yes—
187#14579160C2316yes—
188#14579160C2316yes—
189#14579160C2313yes—
190#14579160C2311yescharacteristic
191#14579159C2311yescharacteristic
192#14579158C2316yes—
193#14579157C2316yes—
194#14579157C2316yes—
195#14579157C2316yes—
196#14579157C2316yes—
197#14579157C2313yes—
198#14579156C2316yes—
199#14579156C2316yes—
200#14579155C23112yes—
201#14579154C2316yes—
202#14579154C23112yes—
203#14579154C2316yes—
204#14579153C2316yes—
205#14579152C2313yes—
206#14579152C2313yes—
207#14579152C2316yes—
208#14579151C2316yes—
209#14579151C2312yes—
210#14579150C2313yes—
211#14579149C23112yes—
212#14579149C2316yes—
213#14579148C2313yes—
214#14579148C2316yes—
215#14579147C23112yes—
216#14579147C23112yes—
217#14579147C2316yes—
218#14579147C23112yes—
219#14579147C23112yes—
220#14579147C2316yes—
221#14579146C2316yes—
222#14579146C23112yes—
223#14579146C2316yes—
224#14579145C2316yes—
225#14579144C23112yes—
226#14579144C23112yes—
227#14579144C23112yes—
228#14579143C2316yes—
229#14579143C23112yes—
230#14579143C23112yes—
231#14579143C2316yes—
232#14579142C2316yes—
233#14579141C2313yes—
234#14579141C2316yes—
235#14579141C2311yescharacteristic
236#14579140C2316yes—
237#14579140C23112yes—
238#14579140C23112yes—
239#14579139C23112yes—
240#14579139C2316yes—
241#14579139C2312yes—
242#14579138C23112yes—
243#14579138C2316yes—
244#14579138C2316yes—
245#14579137C2313yes—
246#14579137C2311yescharacteristic
247#14579136C2316yes—
248#14579136C2316yes—
249#14579136C2313yes—
250#14579136C2316yes—
251#14579136C2316yes—
252#14579136C2313yes—
253#14579135C2316yes—
254#14579135C23112yes—
255#14579135C23112yes—
256#14579135C23112yes—
257#14579135C2316yes—
258#14579135C2316yes—
259#14579134C23112yes—
260#14579134C23112yes—
261#14579134C23112yes—
262#14579134C2316yes—
263#14579134C23112yes—
264#14579134C23112yes—
265#14579134C2316yes—
266#14579133C23112yes—
267#14579133C2316yes—
268#14579133C2316yes—
269#14579132C2316yes—
270#14579132C2313yes—
271#14579132C2316yes—
272#14579132C2316yes—
273#14579132C2316yes—
274#14579132C2316yes—
275#14579132C2313yes—
276#14579131C23112yes—
277#14579131C2316yes—
278#14579130C23112yes—
279#14579130C23112yes—
280#14579129C23112yes—
281#14579129C2316yes—
282Q8×Dic79C2312yes—
283Q8×Dic79C2311yescharacteristic
284Q8×Dic79C2311yescharacteristic
285C4×Dic158C2313yes—
286C4×Dic158C2313yes—
287C4×Dic158C2316yes—
288C4×Dic158C2316yes—
289C4×Dic158C2316yes—
290C4×Dic158C2313yes—
291C4×Dic158C2312yes—
292C4×Dic158C2311yescharacteristic
293#14579126C2313yes—
294#14579126C2313yes—
295C4×D316C2313yes—
296C4×D316C2313yes—
297C4×D316C2316yes—
298C4×D316C2316yes—
299C4×D316C2316yes—
300C4×D316C2316yes—
301C4×D316C2316yes—
302C4×D316C2316yes—
303C4×D316C2313yes—
304C4×D316C2313yes—
305C4×D316C2316yes—
306D4×Dic79C2313yes—
307D4×Dic79C2313yes—
308D4×Dic79C2316yes—
309#14579123C2313yes—
310#14579123C2316yes—
311#14579123C2313yes—
312#14579123C2316yes—
313C4×C22⋊D79C2316yes—
314C4×C22⋊D79C2316yes—
315C4×C22⋊D79C2316yes—
316C4×C22⋊D79C2316yes—
317C4×C22⋊D79C2316yes—
318C4×C22⋊D79C2316yes—
319C4×C22⋊D79C2316yes—
320C4×C22⋊D79C23112yes—
321C4×C22⋊D79C2316yes—
322C4×C22⋊D79C23112yes—
323C4×C22⋊D79C2316yes—
324C4×C22⋊D79C2316yes—
325C4×C22⋊D79C2316yes—
326C4×C22⋊D79C23112yes—
327C4×C22⋊D79C2316yes—
328(C22⋊D79)⋊C4C2316yes—
329(C22⋊D79)⋊C4C2316yes—
330(C22⋊D79)⋊C4C23112yes—
331#14579120C2313yes—
332#14579120C2313yes—
333#14579120C2316yes—
334#14579120C2316yes—
335#14579119C2313yes—
336#14579119C2316yes—
337#14579119C2313yes—
338#14579118C2316yes—
339#14579118C2316yes—
340#14579118C2316yes—
341#14579118C2316yes—
342#14579118C2312yes—
343#14579118C2316yes—
344#14579117C2316yes—
345C2×C4⋊Dic79C2313yes—
346C2×Dic79⋊C4C2316yes—
347C4⋊C4×D79C2313yes—
348C4⋊C4×D79C2316yes—
349C4⋊C4×D79C2313yes—
350C2×C22⋊Dic79C2316yes—
351C2×(C2×D79)⋊C4C2316yes—
352C2×(C2×D79)⋊C4C2316yes—
353C22⋊C4×D79C2316yes—
354C22⋊C4×D79C23112yes—
355C2×C4×Dic79C2313yes—
356C2×C4×Dic79C2313yes—
357C2×C4×Dic79C2313yes—
358C42×D79C2311yescharacteristic
359C42×D79C2313yes—
360C42×D79C2313yes—
361C42×D79C2313yes—
362C42×D79C2313yes—
363C42×D79C2313yes—
364C42×D79C2313yes—
365C42×D79C2313yes—
366C42×D79C2316yes—
367H(5,𝔽2)×C79—28no—
368C2×#41×C79C2313yes—
369C2×#41×C79C2312yes—
370C2×#41×C79C2311yescharacteristic
371C22×D4×C79C2316yes—
372C22×D4×C79C2313yes—
373C23×C4×C79C2316yes—
374C4×Q8×C79C2313yes—
375C4×Q8×C79C2312yes—
376C4×Q8×C79C2311yescharacteristic
377C4×Q8×C79C2311yescharacteristic
378C4×Q8×C79C2311yescharacteristic
379C4×D4×C79C2316yes—
380C4×D4×C79C2313yes—
381C4×D4×C79C2316yes—
382C4×D4×C79C2316yes—
383C4×D4×C79C2316yes—
384C4×D4×C79C23112yes—
385C4×D4×C79C2316yes—
386C4×D4×C79C2313yes—
387C4×D4×C79C2316yes—
388C4×D4×C79C2313yes—
389C4×D4×C79C2316yes—
390C4×D4×C79C2316yes—
391C4×D4×C79C2313yes—
392#117×C79C2316yes—
393#117×C79C2313yes—
394#117×C79C2313yes—
395#117×C79C2316yes—
396C2×C4⋊C4×C79C2313yes—
397C2×C4⋊C4×C79C2316yes—
398C2×C22⋊C4×C79C2316yes—
399C2×C22⋊C4×C79C23112yes—
400C2×C42×C79C2313yes—
401C2×C42×C79C2316yes—
402C23×D79C2413yes—
403C23×D79C2416yes—
404#11929625—24no—
405#11929625—28no—
406#11929624—224no—
407#11929624—212no—
408#11929624—212no—
409#11929624—424no—
410#11929624—412no—
411#11929624—424no—
412#11929624—424no—
413#11929623—212no—
414C2×Dic158—412no—
415C2×Dic158C2413yes—
416C2×Dic158C2416yes—
417C2×Dic158C2412yes—
418C2×Dic158C2411yescharacteristic
419C2×Dic158C24112yes—
420Q8×D79—24no—
421C2×D316—212no—
422C2×D316—412no—
423C2×D316C2416yes—
424C2×D316C2413yes—
425C2×D316C2413yes—
426C2×D316C2416yes—
427C2×D316C24112yes—
428C2×D316C2416yes—
429C2×C22⋊D79—412no—
430C2×C22⋊D79—412no—
431C2×C22⋊D79—412no—
432C2×C22⋊D79C2416yes—
433C2×C22⋊D79C2416yes—
434C2×C22⋊D79C2416yes—
435C2×C22⋊D79C2416yes—
436C2×C22⋊D79C2416yes—
437C2×C22⋊D79C24112yes—
438C2×C22⋊D79C24112yes—
439C2×C22⋊D79C2416yes—
440C2×C22⋊D79C24112yes—
441D4×D79—212no—
442D4×D79—224no—
443C22×Dic79C2413yes—
444C22×Dic79C2413yes—
445C22×Dic79C2413yes—
446C22×Dic79C2416yes—
447C2×C4×D79—212no—
448C2×C4×D79—212no—
449C2×C4×D79—412no—
450C2×C4×D79—46no—
451C2×C4×D79C2413yes—
452C2×C4×D79C2413yes—
453C2×C4×D79C2413yes—
454C2×C4×D79C2413yes—
455C2×C4×D79C2413yes—
456C2×C4×D79C2416yes—
457C2×C4×D79C2413yes—
458C2×C4×D79C2413yes—
459C2×C4×D79C2416yes—
460C2×C4×D79C2411yescharacteristic
461C2×C4×D79C2411yescharacteristic
462C2×C4×D79C24112yes—
463C2×C4×D79C2416yes—
464C2×C4×D79C2413yes—
465C2×C4×D79C2413yes—
466C2×C4×D79C2411yescharacteristic
467C4⋊Dic79C2416yes—
468C4⋊Dic79C2413yes—
469C4⋊Dic79C2413yes—
470C4⋊Dic79C2413yes—
471C4⋊Dic79C2411yescharacteristic
472C4⋊Dic79C2412yes—
473C4⋊Dic79C2416yes—
474C4⋊Dic79C2416yes—
475C4⋊Dic79C2416yes—
476Dic79⋊C4C2416yes—
477Dic79⋊C4C2416yes—
478Dic79⋊C4C2416yes—
479Dic79⋊C4C2416yes—
480Dic79⋊C4C24112yes—
481Dic79⋊C4C2412yes—
482Dic79⋊C4C2412yes—
483Dic79⋊C4C2412yes—
484Dic79⋊C4C2412yes—
485Dic79⋊C4C2412yes—
486Dic79⋊C4C2416yes—
487Dic79⋊C4C2416yes—
488Dic79⋊C4C2416yes—
489C22⋊Dic79C2416yes—
490C22⋊Dic79C2416yes—
491C22⋊Dic79C2416yes—
492C22⋊Dic79C24112yes—
493C22⋊Dic79C2416yes—
494C22⋊Dic79C2416yes—
495C22⋊Dic79C2416yes—
496(C2×D79)⋊C4C2416yes—
497(C2×D79)⋊C4C24112yes—
498(C2×D79)⋊C4C2416yes—
499(C2×D79)⋊C4C2416yes—
500(C2×D79)⋊C4C2416yes—
501(C2×D79)⋊C4C2416yes—
502(C2×D79)⋊C4C24112yes—
503(C2×D79)⋊C4C2412yes—
504(C2×D79)⋊C4C2412yes—
505(C2×D79)⋊C4C2416yes—
506(C2×D79)⋊C4C2416yes—
507(C2×D79)⋊C4C2416yes—
508(C2×D79)⋊C4C2416yes—
509(C2×D79)⋊C4C2416yes—
510C4×Dic79C2411yescharacteristic
511C4×Dic79C2411yescharacteristic
512C4×Dic79C2411yescharacteristic
513C4×Dic79C2412yes—
514C4×Dic79C2413yes—
515C4×Dic79C2413yes—
516C4×Dic79C2413yes—
517C4×Dic79C2413yes—
518C4×Dic79C2413yes—
519C4×Dic79C2413yes—
520C4×Dic79C2413yes—
521C4×Dic79C2413yes—
522C4×Dic79C2413yes—
523C4×Dic79C2416yes—
524C4×Dic79C2416yes—
525C24×C79C2416yes—
526#41×C79—28no—
527#41×C79—212no—
528#41×C79#4118yescomplemented
529C2×Q8×C79C2411yescharacteristic
530C2×Q8×C79C2411yescharacteristic
531C2×D4×C79—224no—
532C2×D4×C79—212no—
533C2×D4×C79C2416yes—
534C2×D4×C79C2413yes—
535C2×D4×C79C2416yes—
536C2×D4×C79C2413yes—
537C22×C4×C79—412no—
538C22×C4×C79C2416yes—
539C22×C4×C79C2416yes—
540C22×C4×C79C2413yes—
541C22×C4×C79C2416yes—
542C22×C4×C79C24112yes—
543C22×C4×C79C2416yes—
544C22×C4×C79C2413yes—
545C22×C4×C79C2413yes—
546C4⋊C4×C79C2413yes—
547C4⋊C4×C79C2413yes—
548C4⋊C4×C79C2416yes—
549C4⋊C4×C79C2416yes—
550C4⋊C4×C79C2413yes—
551C4⋊C4×C79C2411yescharacteristic
552C4⋊C4×C79C2412yes—
553C22⋊C4×C79C2416yes—
554C22⋊C4×C79C2416yes—
555C22⋊C4×C79C2416yes—
556C22⋊C4×C79C2416yes—
557C22⋊C4×C79C24112yes—
558C42×C79C2411yescharacteristic
559C42×C79C2413yes—
560C42×C79C2412yes—
561C42×C79C2413yes—
562C42×C79C2413yes—
563C42×C79C2416yes—
564C42×C79C2416yes—
565C23×C79—212no—
566C23×C79—46no—
567C23×C79—46no—
568C23×C79C2516yes—
569C23×C79C2513yes—
570C22×D79—26no—
571C22×D79—212no—
572C22×D79—26no—
573C22×D79—43no—
574C22×D79—46no—
575C22×D79—46no—
576C22×D79C2516yes—
577C22×D79C2513yes—
578C22×D79C2511yescharacteristic
579Q8×C79—22no—
580Q8×C79C2×#4114yescomplemented
581D4×C79—212no—
582D4×C79—212no—
583D4×C79—26no—
584D4×C79C2×#41112yescomplemented
585C2×C4×C79—212no—
586C2×C4×C79—26no—
587C2×C4×C79—212no—
588C2×C4×C79—43no—
589C2×C4×C79—46no—
590C2×C4×C79—412no—
591C2×C4×C79—46no—
592C2×C4×C79C2×#41112yescomplemented
593C2×C4×C79C2511yescharacteristic
594C2×C4×C79C2513yes—
595C2×C4×C79C2513yes—
596C2×C4×C79C2512yes—
597C2×C4×C79C2512yes—
598C2×C4×C79C2516yes—
599C2×C4×C79C2513yes—
600C2×C4×C79C2511yescharacteristic
601C2×C4×C79C2511yescharacteristic
602C22⋊D79—212no—
603C22⋊D79—212no—
604C22⋊D79—212no—
605C22⋊D79—212no—
606C22⋊D79—212no—
607C22⋊D79—412no—
608C22⋊D79—412no—
609C22⋊D79—412no—
610C22⋊D79—46no—
611C2×Dic79—26no—
612C2×Dic79—26no—
613C2×Dic79—26no—
614C2×Dic79—46no—
615C2×Dic79C2511yescharacteristic
616C2×Dic79C2513yes—
617C2×Dic79C2512yes—
618C2×Dic79C2512yes—
619C2×Dic79C2513yes—
620C2×Dic79C2513yes—
621C2×Dic79C2516yes—
622C2×Dic79C2511yescharacteristic
623C2×Dic79C2511yescharacteristic
624D316—212no—
625D316—212no—
626D316—26no—
627D316—26no—
628D316—412no—
629D316—46no—
630C4×D79—26no—
631C4×D79—22no—
632C4×D79—26no—
633C4×D79—26no—
634C4×D79—26no—
635C4×D79—212no—
636C4×D79—26no—
637C4×D79—212no—
638C4×D79—26no—
639C4×D79—22no—
640C4×D79—26no—
641C4×D79—43no—
642C4×D79—43no—
643C4×D79—412no—
644C4×D79—46no—
645C4×D79H(5,𝔽2)14yescomplemented
646Dic158—26no—
647Dic158—22no—
648Dic158—212no—
649Dic158—24no—
650Dic158—412no—
651C22×C79—23no—
652C22×C79—23no—
653C22×C79—26no—
654C22×C79—26no—
655C22×C79—26no—
656C22×C79—812no—
657C22×C79C22×#4116yes—
658C22×C79C2611yescharacteristic
659C2×D79—21no—
660C2×D79—21no—
661C2×D79—23no—
662C2×D79—26no—
663C2×D79—26no—
664C2×D79—23no—
665C2×D79—26no—
666C2×D79—23no—
667C2×D79—412no—
668C2×D79—812no—
669C2×D79C2×H(5,𝔽2)12yes—
670C4×C79—22no—
671C4×C79—26no—
672C4×C79—23no—
673C4×C79—22no—
674C4×C79—21no—
675C4×C79—23no—
676C4×C79C22×#4116yes—
677C4×C79C22×#4112yes—
678C4×C79C2×H(5,𝔽2)12yes—
679Dic79—22no—
680Dic79—23no—
681Dic79—21no—
682Dic79—26no—
683Dic79—23no—
684Dic79—23no—
685Dic79—22no—
686Dic79C2×H(5,𝔽2)12yes—
687Dic79#58512yes—
688#62800—791nomaximal, Sylow
689C2×C79—26no—
690C2×C79—46no—
691C2×C79C23×#4111yescharacteristic
692C2×C79C22×H(5,𝔽2)11yescharacteristic
693C2×C79C2×#58511yescharacteristic
694D79—22no—
695D79—43no—
696D79—46no—
697#3522—792no—
698#3519—796no—
699#3517—792no—
700#3514—796no—
701#3511—793no—
702#3508—793no—
703#3503—791no—
704#3498—791no—
705#3494—793no—
706#3494—793no—
707#3488—791no—
708#3488—791no—
709#3483—792no—
710#3481—796no—
711#3480—792no—
712D4×#41—796no—
713#3460—793no—
714#3460—793no—
715#3444—793no—
716C2×#532—793no—
717C4×H(5,𝔽2)—791no—
718C4×H(5,𝔽2)D7911yescharacteristic, complemented
719C2×C4×#41—791no—
720C79#6280011yescharacteristic, complemented, Sylow
721C2×H(5,𝔽2)—791no—
722C2×H(5,𝔽2)C2×D7911yescharacteristic
723C22×#41—791no—
724C22×#41—796no—
725#559—796no—
726#559—796no—
727Q82—792no—
728#557—792no—
729#556—796no—
730#555—796no—
731#555—796no—
732#555—796no—
733#554—796no—
734#554—796no—
735#553—7912no—
736#553—796no—
737#553—796no—
738#553—796no—
739#553—796no—
740#551—7912no—
741#551—7912no—
742#550—792no—
743#550—792no—
744#550—792no—
745#550—792no—
746#550—796no—
747#550—796no—
748D4×Q8—796no—
749#548—792no—
750#548—792no—
751#548—7912no—
752#547—796no—
753#547—796no—
754#547—796no—
755#546—796no—
756#546—796no—
757#546—7912no—
758#546—7912no—
759#546—7912no—
760#546—7912no—
761D42—796no—
762D42—796no—
763D42—796no—
764D42—796no—
765#544—793no—
766#544—793no—
767#542—796no—
768#542—796no—
769#542—796no—
770#542—796no—
771#540—796no—
772#540—796no—
773#540—796no—
774#540—796no—
775#538—7912no—
776#538—7912no—
777#537—793no—
778#537—793no—
779#535—793no—
780#535—793no—
781#535—793no—
782#535—793no—
783#533—791no—
784#533—793no—
785#533—793no—
786#532—793no—
787#532—793no—
788#532—796no—
789#532—796no—
790#532—796no—
791#532—796no—
792#532—796no—
793#532—796no—
794#532—796no—
795#532—793no—
796#532—796no—
797#532—796no—
798C2×C4⋊Q8—793no—
799C2×#127—793no—
800#529—793no—
801#529—793no—
802#529—793no—
803#529—796no—
804#529—793no—
805#529—796no—
806#529—796no—
807#529—796no—
808#529—796no—
809#529—796no—
810C2×#124—796no—
811#525—793no—
812#525—7912no—
813#525—796no—
814#525—796no—
815#525—7912no—
816#525—793no—
817C2×#121—793no—
818C2×#121—793no—
819C2×#121—796no—
820#520—791no—
821#520—792no—
822#520—793no—
823#520C2×D7911yescharacteristic
824#520C2×D7913yescomplemented
825#520C2×D7912yescomplemented
826#518—796no—
827#518—793no—
828#518C2×D7913yescomplemented
829#518C2×D7916yescomplemented
830C4×#41—791no—
831C4×#41—791no—
832C4×#41—791no—
833C4×#41—792no—
834C4×#41—793no—
835C4×#41—793no—
836C4×#41—793no—
837C4×#41—793no—
838C4×#41—793no—
839C4×#41—796no—
840C4×#41—796no—
841C4×#41C2×D7911yescharacteristic
842C4×#41C2×D7913yescomplemented
843C4×#41C2×D7912yescomplemented
844C2×C4×Q8—791no—
845C2×C4×Q8—791no—
846C2×C4×D4—796no—
847C2×C4×D4—793no—
848C2×C4×D4—793no—
849C2×C4×D4—796no—
850C2×C4×D4—793no—
851C2×C4×D4C2×D7913yescomplemented
852C2×C4×D4C2×D7916yescomplemented
853C2×#117—793no—
854C22×C42—793no—
855H(5,𝔽2)—28no—
856H(5,𝔽2)—1588no—
857C2×#41—31624no—
858C2×#41—791no—
859C2×#41—792no—
860C2×#41—793no—
861C2×#41—796no—
862C2×#41—7912no—
863C2×#41—7912no—
864C2×#41—7912no—
865C2×#41—793no—
866C2×#41—793no—
867C2×#41—796no—
868C2×#41—1588no—
869C2×#41C22×D7913yes—
870C2×#41C22×D7912yes—
871C2×#41C22×D7911yescharacteristic
872C22×Q8—791no—
873C22×Q8—796no—
874C22×D4—796no—
875C22×D4—796no—
876C22×D4—796no—
877C22×D4—793no—
878C22×D4—796no—
879C22×D4—796no—
880C22×D4—793no—
881C22×D4C22×D7913yes—
882C22×D4C22×D7916yes—
883C23×C4—796no—
884C23×C4—793no—
885C23×C4—793no—
886C23×C4—793no—
887C23×C4C22×D7916yes—
888C4⋊Q8—791no—
889C4⋊Q8—793no—
890C4⋊Q8—796no—
891C4⋊Q8—796no—
892C4⋊Q8—796no—
893C4⋊Q8—791no—
894C4⋊Q8—796no—
895C4⋊Q8—796no—
896#127—793no—
897#127—796no—
898#127—796no—
899#127—796no—
900#127—796no—
901#127—796no—
902#126—796no—
903#126—796no—
904#126—796no—
905#126—796no—
906#126—7912no—
907#126—7912no—
908#125—792no—
909#125—793no—
910#125—793no—
911#125—796no—
912#125—796no—
913#125—796no—
914#124—793no—
915#124—793no—
916#124—796no—
917#124—796no—
918#124—7912no—
919#124—7912no—
920#124—7912no—
921#124—796no—
922#124—7912no—
923#124—796no—
924#124—7912no—
925#123—796no—
926#123—7912no—
927#123—7912no—
928#123—7912no—
929#123—796no—
930#123—796no—
931#123—7912no—
932#123—796no—
933#123—796no—
934#123—796no—
935#123—7912no—
936#123—7912no—
937C22⋊Q8—791no—
938C22⋊Q8—793no—
939C22⋊Q8—7912no—
940C22⋊Q8—7912no—
941C22⋊Q8—796no—
942C22⋊Q8—792no—
943C22⋊Q8—791no—
944C22⋊Q8—793no—
945C22⋊Q8—796no—
946C22⋊Q8—7912no—
947C22⋊Q8—796no—
948C22⋊Q8—796no—
949C22⋊Q8—796no—
950C22⋊Q8—7912no—
951#121—793no—
952#121—796no—
953#121—796no—
954#121—796no—
955#121—793no—
956#121—796no—
957#121—796no—
958#121—7912no—
959#121—796no—
960#121—796no—
961#121—7912no—
962#121—7912no—
963#121—796no—
964#121—796no—
965#121—796no—
966#121—7912no—
967#121—793no—
968#121—796no—
969#121—796no—
970#121—796no—
971#121—793no—
972#121—796no—
973#121—796no—
974#121—7912no—
975#121—7912no—
976#121—7912no—
977#121—796no—
978#121—7912no—
979#121—7912no—
980#120—7912no—
981#120—7912no—
982#120—796no—
983#120—7912no—
984#120—796no—
985#120—7912no—
986C4×Q8—791no—
987C4×Q8—791no—
988C4×Q8—792no—
989C4×Q8—793no—
990C4×Q8—793no—
991C4×Q8—793no—
992C4×Q8—793no—
993C4×Q8—792no—
994C4×Q8—791no—
995C4×Q8—793no—
996C4×Q8—796no—
997C4×Q8—796no—
998C4×Q8—796no—
999C4×Q8C22×D7911yescharacteristic
1000C4×Q8C22×D7911yescharacteristic
1001C4×Q8C22×D7911yescharacteristic
1002C4×Q8C22×D7912yes—
1003C4×Q8C22×D7913yes—
1004C4×D4—793no—
1005C4×D4—793no—
1006C4×D4—796no—
1007C4×D4—796no—
1008C4×D4—796no—
1009C4×D4—796no—
1010C4×D4—796no—
1011C4×D4—7912no—
1012C4×D4—7912no—
1013C4×D4—7912no—
1014C4×D4—796no—
1015C4×D4—796no—
1016C4×D4—796no—
1017C4×D4—796no—
1018C4×D4—796no—
1019C4×D4—796no—
1020C4×D4—796no—
1021C4×D4—796no—
1022C4×D4—793no—
1023C4×D4—793no—
1024C4×D4—796no—
1025C4×D4—796no—
1026C4×D4—796no—
1027C4×D4—796no—
1028C4×D4—7912no—
1029C4×D4—796no—
1030C4×D4—793no—
1031C4×D4—793no—
1032C4×D4—793no—
1033C4×D4—796no—
1034C4×D4—796no—
1035C4×D4—793no—
1036C4×D4—796no—
1037C4×D4—796no—
1038C4×D4—796no—
1039C4×D4—796no—
1040C4×D4C22×D7913yes—
1041C4×D4C22×D7913yes—
1042C4×D4C22×D7916yes—
1043C4×D4C22×D7913yes—
1044C4×D4C22×D7916yes—
1045C4×D4C22×D7916yes—
1046C4×D4C22×D7916yes—
1047C4×D4C22×D7916yes—
1048C4×D4C22×D79112yes—
1049C4×D4C22×D7916yes—
1050C4×D4C22×D7916yes—
1051C4×D4C22×D7913yes—
1052C4×D4C22×D7916yes—
1053#117—793no—
1054#117—793no—
1055#117—796no—
1056#117—796no—
1057#117—793no—
1058#117—793no—
1059#117—796no—
1060#117—796no—
1061#117—796no—
1062#117—792no—
1063#117—796no—
1064#117—796no—
1065#117—796no—
1066#117—796no—
1067#117C22×D7913yes—
1068#117C22×D7913yes—
1069#117C22×D7916yes—
1070#117C22×D7916yes—
1071C2×C4⋊C4—793no—
1072C2×C4⋊C4—796no—
1073C2×C4⋊C4—793no—
1074C2×C4⋊C4—793no—
1075C2×C4⋊C4—796no—
1076C2×C4⋊C4C22×D7913yes—
1077C2×C4⋊C4C22×D7916yes—
1078C2×C22⋊C4—796no—
1079C2×C22⋊C4—796no—
1080C2×C22⋊C4—796no—
1081C2×C22⋊C4—796no—
1082C2×C22⋊C4—7912no—
1083C2×C22⋊C4C22×D7916yes—
1084C2×C22⋊C4C22×D79112yes—
1085C2×C42—793no—
1086C2×C42—793no—
1087C2×C42—793no—
1088C2×C42—793no—
1089C2×C42—793no—
1090C2×C42—793no—
1091C2×C42—796no—
1092C2×C42—793no—
1093C2×C42—793no—
1094C2×C42—793no—
1095C2×C42—793no—
1096C2×C42—791no—
1097C2×C42C22×D7913yes—
1098C2×C42C22×D7916yes—
1099C24—796no—
1100C24—793no—
1101C24C23×D7916yes—
1102#41—28no—
1103#41—212no—
1104#41—31624no—
1105#41—31624no—
1106#41—31612no—
1107#41—31624no—
1108#41—15824no—
1109#41—1584no—
1110#41—1588no—
1111#41—15812no—
1112#41—15812no—
1113#41—15812no—
1114#41#1192962418yescomplemented
1115C2×Q8—31612no—
1116C2×Q8—7912no—
1117C2×Q8—793no—
1118C2×Q8—792no—
1119C2×Q8—791no—
1120C2×Q8—796no—
1121C2×Q8—1584no—
1122C2×Q8C23×D7911yescharacteristic
1123C2×Q8C23×D7911yescharacteristic
1124C2×D4—224no—
1125C2×D4—212no—
1126C2×D4—31612no—
1127C2×D4—31612no—
1128C2×D4—31612no—
1129C2×D4—31612no—
1130C2×D4—796no—
1131C2×D4—7912no—
1132C2×D4—7912no—
1133C2×D4—7912no—
1134C2×D4—796no—
1135C2×D4—796no—
1136C2×D4—796no—
1137C2×D4—796no—
1138C2×D4—796no—
1139C2×D4—796no—
1140C2×D4—7912no—
1141C2×D4—793no—
1142C2×D4—796no—
1143C2×D4—793no—
1144C2×D4—796no—
1145C2×D4—15812no—
1146C2×D4—15824no—
1147C2×D4—15812no—
1148C2×D4C23×D7916yes—
1149C2×D4C23×D7913yes—
1150C2×D4C23×D7916yes—
1151C2×D4C23×D7913yes—
1152C22×C4—412no—
1153C22×C4—31612no—
1154C22×C4—3166no—
1155C22×C4—796no—
1156C22×C4—793no—
1157C22×C4—793no—
1158C22×C4—796no—
1159C22×C4—7912no—
1160C22×C4—791no—
1161C22×C4—793no—
1162C22×C4—793no—
1163C22×C4—793no—
1164C22×C4—791no—
1165C22×C4—791no—
1166C22×C4—793no—
1167C22×C4—793no—
1168C22×C4—793no—
1169C22×C4—793no—
1170C22×C4—793no—
1171C22×C4—793no—
1172C22×C4—796no—
1173C22×C4—793no—
1174C22×C4—796no—
1175C22×C4—15812no—
1176C22×C4—15812no—
1177C22×C4C23×D7916yes—
1178C22×C4C23×D7913yes—
1179C22×C4C23×D7916yes—
1180C22×C4C23×D7913yes—
1181C22×C4C23×D7916yes—
1182C22×C4C23×D7916yes—
1183C22×C4C23×D79112yes—
1184C22×C4C23×D7913yes—
1185C4⋊C4—796no—
1186C4⋊C4—796no—
1187C4⋊C4—796no—
1188C4⋊C4—796no—
1189C4⋊C4—7912no—
1190C4⋊C4—792no—
1191C4⋊C4—792no—
1192C4⋊C4—792no—
1193C4⋊C4—792no—
1194C4⋊C4—792no—
1195C4⋊C4—796no—
1196C4⋊C4—796no—
1197C4⋊C4—796no—
1198C4⋊C4—796no—
1199C4⋊C4—793no—
1200C4⋊C4—793no—
1201C4⋊C4—793no—
1202C4⋊C4—791no—
1203C4⋊C4—792no—
1204C4⋊C4—796no—
1205C4⋊C4—796no—
1206C4⋊C4—796no—
1207C4⋊C4C23×D7913yes—
1208C4⋊C4C23×D7913yes—
1209C4⋊C4C23×D7913yes—
1210C4⋊C4C23×D7916yes—
1211C4⋊C4C23×D7916yes—
1212C4⋊C4C23×D7911yescharacteristic
1213C4⋊C4C23×D7912yes—
1214C22⋊C4—796no—
1215C22⋊C4—796no—
1216C22⋊C4—796no—
1217C22⋊C4—7912no—
1218C22⋊C4—796no—
1219C22⋊C4—796no—
1220C22⋊C4—796no—
1221C22⋊C4—796no—
1222C22⋊C4—796no—
1223C22⋊C4—7912no—
1224C22⋊C4—796no—
1225C22⋊C4—796no—
1226C22⋊C4—796no—
1227C22⋊C4—7912no—
1228C22⋊C4—792no—
1229C22⋊C4—792no—
1230C22⋊C4—796no—
1231C22⋊C4—796no—
1232C22⋊C4—796no—
1233C22⋊C4—796no—
1234C22⋊C4—796no—
1235C22⋊C4C23×D7916yes—
1236C22⋊C4C23×D7916yes—
1237C22⋊C4C23×D7916yes—
1238C22⋊C4C23×D7916yes—
1239C22⋊C4C23×D79112yes—
1240C42—791no—
1241C42—791no—
1242C42—793no—
1243C42—793no—
1244C42—793no—
1245C42—793no—
1246C42—793no—
1247C42—793no—
1248C42—793no—
1249C42—793no—
1250C42—796no—
1251C42—796no—
1252C42—791no—
1253C42—793no—
1254C42—792no—
1255C42C23×D7913yes—
1256C42C23×D7913yes—
1257C42C23×D7916yes—
1258C42C23×D7916yes—
1259C42C23×D7913yes—
1260C42C23×D7911yescharacteristic
1261C42C23×D7912yes—
1262C23—212no—
1263C23—46no—
1264C23—46no—
1265C23—3163no—
1266C23—3166no—
1267C23—3166no—
1268C23—791no—
1269C23—796no—
1270C23—793no—
1271C23—1586no—
1272C23—1586no—
1273C23—15812no—
1274C23C24×D7916yes—
1275C23C24×D7913yes—
1276Q8—22no—
1277Q8—31612no—
1278Q8—15812no—
1279Q8—1584no—
1280Q8—1586no—
1281Q8—1582no—
1282Q8C2×#1192962414yescomplemented
1283D4—212no—
1284D4—212no—
1285D4—26no—
1286D4—31612no—
1287D4—3166no—
1288D4—31612no—
1289D4—31612no—
1290D4—31612no—
1291D4—3166no—
1292D4—15812no—
1293D4—15812no—
1294D4—15812no—
1295D4—15812no—
1296D4—15812no—
1297D4—15812no—
1298D4—15812no—
1299D4—1586no—
1300D4—1586no—
1301D4C2×#11929624112yescomplemented
1302C2×C4—26no—
1303C2×C4—212no—
1304C2×C4—212no—
1305C2×C4—46no—
1306C2×C4—412no—
1307C2×C4—43no—
1308C2×C4—46no—
1309C2×C4—31612no—
1310C2×C4—3163no—
1311C2×C4—3163no—
1312C2×C4—3166no—
1313C2×C4—3166no—
1314C2×C4—791no—
1315C2×C4—791no—
1316C2×C4—794no—
1317C2×C4—791no—
1318C2×C4—793no—
1319C2×C4—792no—
1320C2×C4—792no—
1321C2×C4—793no—
1322C2×C4—793no—
1323C2×C4—796no—
1324C2×C4—1582no—
1325C2×C4—1586no—
1326C2×C4—1586no—
1327C2×C4—1586no—
1328C2×C4—1586no—
1329C2×C4—1586no—
1330C2×C4—1586no—
1331C2×C4—15812no—
1332C2×C4—1586no—
1333C2×C4—1582no—
1334C2×C4—1586no—
1335C2×C4—1586no—
1336C2×C4—1586no—
1337C2×C4—15812no—
1338C2×C4C2×#11929624112yescomplemented
1339C2×C4C24×D7911yescharacteristic
1340C2×C4C24×D7913yes—
1341C2×C4C24×D7913yes—
1342C2×C4C24×D7912yes—
1343C2×C4C24×D7912yes—
1344C2×C4C24×D7916yes—
1345C2×C4C24×D7913yes—
1346C2×C4C24×D7911yescharacteristic
1347C2×C4C24×D7911yescharacteristic
1348C22—23no—
1349C22—23no—
1350C22—26no—
1351C22—26no—
1352C22—26no—
1353C22—812no—
1354C22—31612no—
1355C22—792no—
1356C22—63212no—
1357C22—1583no—
1358C22—1586no—
1359C22—1586no—
1360C22—1583no—
1361C22—1583no—
1362C22—1586no—
1363C22—1581no—
1364C22—1581no—
1365C22C22×#1192962416yes—
1366C22C25×D7911yescharacteristic
1367C4—22no—
1368C4—23no—
1369C4—26no—
1370C4—21no—
1371C4—23no—
1372C4—22no—
1373C4—792no—
1374C4—792no—
1375C4—1581no—
1376C4—1582no—
1377C4—1583no—
1378C4—1586no—
1379C4—1583no—
1380C4—1582no—
1381C4—1583no—
1382C4C22×#1192962416yes—
1383C4C22×#1192962412yes—
1384C4H(5,𝔽2)×D7912yes—
1385C2—26no—
1386C2—46no—
1387C2—3163no—
1388C2—3166no—
1389C2—1582no—
1390C2C23×#1192962411yescharacteristic
1391C2C2×H(5,𝔽2)×D7911yescharacteristic
1392C2#585×D7911yescharacteristic
subgroupG/H
centerC2×C4C24×D79
commutator, socle, cosocleC22×C79C26
FrattiniC22C25×D79
FittingC4×H(5,𝔽2)×C79C2
hypercenterC4×H(5,𝔽2)D79
hypocenterC79#62800
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C2×C4 ◁ C4×H(5,𝔽2)

Complements

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

NH ≅ G/Ntype
1. #23777479C2semidirect
2. #23777422C2semidirect
3. #23777400C2semidirect
4. #23777351C2semidirect
5. #23777303C2semidirect
6. #23777271C2semidirect
7. #23777213C2semidirect
8. #23777174C2semidirect
9. #23777136C2semidirect
10. #23777125C2semidirect
11. #23777070C2semidirect
12. #23777062C2semidirect
13. #23777026C2semidirect
14. #23777004C2semidirect
15. #23776998C2semidirect
16. D4×#11929624C2semidirect
17. #23776822C2semidirect
18. #23776816C2semidirect
19. #23776693C2semidirect
20. C2×#19099110C2semidirect
21. C4×#14579207C2semidirect
22. C4×#41×D79C2semidirect
23. C4×H(5,𝔽2)×C79C2semidirect
25. C22×#11929624C22semidirect
27. #19099296C22semidirect
28. #19099296C22semidirect
29. Q8×Dic158C22semidirect
30. #19099289C22semidirect
31. #19099281C22semidirect
32. #19099278C22semidirect
33. #19099276C22semidirect
34. #19099276C22semidirect
35. #19099272C22semidirect
36. #19099268C22semidirect
37. #19099263C22semidirect
38. #19099263C22semidirect
39. #19099262C22semidirect
40. #19099261C22semidirect
41. #19099257C22semidirect
42. #19099242C22semidirect
43. #19099239C22semidirect
44. #19099235C22semidirect
45. #19099234C22semidirect
46. #19099234C22semidirect
47. #19099232C22semidirect
48. #19099232C22semidirect
49. #19099232C22semidirect
50. D4×Dic158C22semidirect
51. #19099225C22semidirect
52. #19099222C22semidirect
53. #19099220C22semidirect
54. #19099218C22semidirect
55. #19099214C22semidirect
56. #19099214C22semidirect
57. #19099209C22semidirect
58. #19099208C22semidirect
59. #19099207C22semidirect
60. #19099203C22semidirect
61. #19099203C22semidirect
62. #19099203C22semidirect
63. D4×D316C22semidirect
64. D4×C22⋊D79C22semidirect
65. D4×C22⋊D79C22semidirect
66. D4×C22⋊D79C22semidirect
67. #19099194C22semidirect
68. #19099191C22semidirect
69. #19099185C22semidirect
70. #19099184C22semidirect
71. #19099178C22semidirect
72. #19099178C22semidirect
73. #19099168C22semidirect
74. #19099164C22semidirect
75. #19099164C22semidirect
76. #19099164C22semidirect
77. #19099151C22semidirect
78. #19099146C22semidirect
79. #19099144C22semidirect
80. #19099141C22semidirect
81. #19099132C22semidirect
82. #19099130C22semidirect
83. #19099130C22semidirect
84. #19099127C22semidirect
85. #19099117C22semidirect
86. #19099117C22semidirect
87. #19099116C22semidirect
88. #19099113C22semidirect
89. #19099110C22semidirect
90. #19099110C22semidirect
91. #19099110C22semidirect
92. #19099110C22semidirect
93. #19099110C22semidirect
94. #19099110C22semidirect
95. #19099110C22semidirect
96. #19099110C22semidirect
97. #19099110C22semidirect
98. #19099110C22semidirect
99. #19099109C22semidirect
100. C2×#14579160C22semidirect
101. C2×#14579157C22semidirect
102. #19099100C22semidirect
103. #19099100C22semidirect
104. #19099097C22semidirect
105. #19099095C22semidirect
106. #19099095C22semidirect
107. #19099095C22semidirect
108. #19099093C22semidirect
109. #19099093C22semidirect
110. #19099091C22semidirect
111. #19099091C22semidirect
112. C2×#14579147C22semidirect
113. #19099075C22semidirect
114. #19099074C22semidirect
115. #19099072C22semidirect
116. #19099072C22semidirect
117. #19099072C22semidirect
118. #19099070C22semidirect
119. C2×#14579136C22semidirect
120. C2×#14579134C22semidirect
121. C2×#14579132C22semidirect
123. #19099045C22semidirect
124. #19099043C22semidirect
125. #19099037C22semidirect
126. #19099035C22semidirect
128. C4×#11929625C22semidirect
129. C4×#11929625C22semidirect
130. C4×#11929625C22semidirect
131. C4×#11929624C22semidirect
132. C4×#11929624C22semidirect
133. C4×#11929624C22semidirect
134. C4×#11929624C22semidirect
135. #19099031C22semidirect
136. C4×#11929623C22semidirect
137. C4×#11929623C22semidirect
138. C4×Q8×D79C22semidirect
139. C4×Q8×D79C22semidirect
140. C2×C4×D316C22semidirect
141. C2×C4×C22⋊D79C22semidirect
142. C4×D4×D79C22semidirect
143. C4×D4×D79C22semidirect
144. C4×D4×D79C22semidirect
145. #117×D79C22semidirect
146. C2×C42×D79C22semidirect
149. #520×C79C22semidirect
150. #520×C79C22semidirect
151. #518×C79C22semidirect
152. #518×C79C22semidirect
154. C4×#41×C79C22semidirect
155. C4×#41×C79C22semidirect
156. C2×C4×D4×C79C22semidirect
157. C2×C4×D4×C79C22semidirect
528. #41×C79#41semidirect
580. Q8×C79C2×#41semidirect
584. D4×C79C2×#41semidirect
592. C2×C4×C79C2×#41semidirect
645. C4×D79H(5,𝔽2)semidirect
718. C4×H(5,𝔽2)D79semidirect
720. C79#62800semidirect
824. #520C2×D79semidirect
825. #520C2×D79semidirect
828. #518C2×D79semidirect
829. #518C2×D79semidirect
842. C4×#41C2×D79semidirect
843. C4×#41C2×D79semidirect
851. C2×C4×D4C2×D79semidirect
852. C2×C4×D4C2×D79semidirect
1114. #41#11929624semidirect
1282. Q8C2×#11929624semidirect
1301. D4C2×#11929624semidirect
1338. C2×C4C2×#11929624semidirect

Maximal subgroups

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

subgroupindex
#237774792
#237774222
#237774002
#237773512
#237773032
#237772712
#237772132
#237771742
#237771362
#237771252
#237770702
#237770622
#237770262
#237770042
#237769982
D4×#119296242
#237768222
#237768162
#237766932
C2×#190991102
C4×#145792072
C4×#41×D792
C4×H(5,𝔽2)×C792
#6280079