Finite Group Databasebeta

← #35195376

Subgroups — #35195376

Order 20224.

7812 conjugacy classes of subgroups.

The subgroup lattice has 1446 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777024C211yesmaximal, characteristic, complemented
2#23777015C212yesmaximal, complemented
3#23777013C214yesmaximal, complemented
4#23777004C214yesmaximal, complemented
5#23777002C214yesmaximal, complemented
6#23776996C212yesmaximal, complemented
7#23776994C214yesmaximal, complemented
8#23776979C212yesmaximal, complemented
9#23776966C212yesmaximal, complemented
10#23776959C214yesmaximal, complemented
11#23776955C218yesmaximal, complemented
12#23776951C214yesmaximal, complemented
13#23776884C214yesmaximal, complemented
14D4×#11929623C212yesmaximal, complemented
15#23776695C211yesmaximal, characteristic, complemented
16#23776694C214yesmaximal, complemented
17#23776692C214yesmaximal, complemented
18C2×C4×#11929623C214yesmaximal, complemented
19C4×#41×D79C212yesmaximal, complemented
20C79×#3481C211yesmaximal, characteristic, complemented
21C22×#11929623C2214yes—
22C2×#41×D79C2212yes—
23#19099297C2214yescomplemented
24#19099296C2214yescomplemented
25#19099293C2211yescharacteristic, complemented
26#19099291C2212yescomplemented
27#19099290C2214yescomplemented
28#19099286C2212yescomplemented
29#19099282C2214yescomplemented
30#19099281C2214yescomplemented
31#19099280C2218yescomplemented
32#19099279C2211yescharacteristic, complemented
33#19099277C2214yescomplemented
34#19099275C2214yescomplemented
35#19099272C2214yescomplemented
36#19099268C2214yescomplemented
37#19099267C2218yescomplemented
38#19099263C2214yescomplemented
39#19099262C2218yescomplemented
40#19099261C2214yescomplemented
41#19099258C2218yescomplemented
42#19099256C2218yescomplemented
43#19099255C2214yescomplemented
44#19099253C2214yescomplemented
45#19099251C2214yescomplemented
46#19099250C2218yescomplemented
47#19099249C2218yescomplemented
48#19099246C2218yescomplemented
49#19099244C2214yescomplemented
50#19099242C2218yescomplemented
51#19099241C2214yescomplemented
52#19099240C2218yescomplemented
53#19099239C2218yescomplemented
54#19099233C2212yescomplemented
55#19099231C2214yescomplemented
56D4×Dic158C2212yescomplemented
57#19099226C2214yescomplemented
58#19099222C2214yescomplemented
59#19099221C2214yescomplemented
60#19099219C2214yescomplemented
61#19099217C2212yescomplemented
62#19099213C2214yescomplemented
63#19099212C2214yescomplemented
64#19099211C2218yescomplemented
65#19099208C2214yescomplemented
66#19099207C2214yescomplemented
67#19099203C2218yescomplemented
68#19099202C2218yescomplemented
69#19099200C2218yescomplemented
70D4×C22⋊D79C2214yescomplemented
71#19099195C2214yescomplemented
72#19099120C2211yescharacteristic, complemented
73#19099119C2214yescomplemented
74#19099118C2212yescomplemented
75#19099117C2214yescomplemented
76#19099116C2214yescomplemented
77#19099115C2218yescomplemented
78#19099115C2214yescomplemented
79#19099112C2214yescomplemented
80#19099111C2212yescomplemented
81#19099110C2214yescomplemented
82#19099109C2214yescomplemented
83#19099108C2214yescomplemented
84#19099108C2218yescomplemented
85#19099099C2218yescomplemented
86#19099098C2214yescomplemented
87#19099097C2214yescomplemented
88#19099096C2218yescomplemented
89#19099096C2218yescomplemented
90#19099095C2214yescomplemented
91#19099094C2218yescomplemented
92#19099094C2214yescomplemented
93#19099093C2218yescomplemented
94#19099093C2218yescomplemented
95#19099092C2214yescomplemented
96#19099092C2214yescomplemented
97#19099091C2218yescomplemented
98#19099090C2218yescomplemented
99#19099090C2218yescomplemented
100#19099090C2218yescomplemented
101#19099076C2214yescomplemented
102#19099074C2214yescomplemented
103#19099073C2214yescomplemented
104#19099073C2214yescomplemented
105#19099072C2218yescomplemented
106#19099071C2218yescomplemented
107#19099070C2212yescomplemented
108#19099069C2218yescomplemented
109#19099069C2218yescomplemented
110#41×Dic79C2212yescomplemented
111#41×Dic79C2212yescomplemented
112C4×#11929625C2212yescomplemented
113C4×#11929625C2212yescomplemented
114C4×#11929624C2212yescomplemented
115C4×#11929624C2214yescomplemented
116#19099031C2214yescomplemented
117#19099031C2212yescomplemented
118#19099031C2214yescomplemented
119C4×#11929623C2212yes—
120C4×#11929623C2212yes—
121C4×#11929623C2214yes—
122C4×#11929623C2214yescomplemented
123C4×#11929623C2214yescomplemented
124C4×#11929623C2214yescomplemented
125C4×#11929623C2218yescomplemented
126C4×#11929623C2214yescomplemented
127C4×#11929623C2214yescomplemented
128C4×#11929623C2218yescomplemented
129C4×#11929623C2218yescomplemented
130C4×#11929623C2214yescomplemented
131C4×#11929623C2214yescomplemented
132C4×#11929623C2218yescomplemented
133C4×#11929623C2214yescomplemented
134C2×C4×Dic158C2214yescomplemented
135C2×#14579126C2214yescomplemented
136C4×Q8×D79C2212yescomplemented
137C4×Q8×D79C2212yescomplemented
138C2×D4×Dic79C2214yescomplemented
139C2×C4×C22⋊D79C2218yescomplemented
140C2×(C22⋊D79)⋊C4C2218yescomplemented
141C4×D4×D79C2212yescomplemented
142C4×D4×D79C2214yescomplemented
143C4×D4×D79C2214yescomplemented
144C4×D4×D79C2212yescomplemented
145C2×#14579119C2214yescomplemented
146C2×#14579117C2218yescomplemented
147#117×D79C2214yescomplemented
148#117×D79C2212yescomplemented
149C22×C4×Dic79C2214yescomplemented
150C2×C42×D79C2211yescharacteristic, complemented
151C2×C42×D79C2214yescomplemented
152#559×C79C2211yescharacteristic, complemented
153#554×C79C2212yescomplemented
154#553×C79C2214yescomplemented
155#551×C79C2214yescomplemented
156#546×C79C2214yescomplemented
157D42×C79C2211yescharacteristic, complemented
158#532×C79C2211yescharacteristic, complemented
159#529×C79C2214yescomplemented
160#525×C79C2214yescomplemented
161C4×#41×C79C2212yescomplemented
162C2×C4×D4×C79C2214yescomplemented
163C2×#11929625C2312yes—
164C2×#11929624C2314yes—
165C2×#11929624C2312yes—
166C2×#11929624C2314yes—
167C2×#11929623—232no—
168C2×#11929623C2318yes—
169C2×#11929623C2314yes—
170C2×#11929623C2314yes—
171C2×#11929623C2314yes—
172C2×#11929623C2318yes—
173C2×#11929623C2314yes—
174C2×#11929623C2312yes—
175#41×D79—216no—
176C22×Dic158C2314yes—
177C2×Q8×D79C2312yes—
178C22×C22⋊D79C2318yes—
179C2×D4×D79C2314yes—
180C2×D4×D79C2312yes—
181C23×Dic79C2318yes—
182C22×C4×D79C2312yes—
183C22×C4×D79C2314yes—
184C22×C4×D79C2314yes—
185C22×C4×D79C2311yescharacteristic
186C22×C4×D79C2314yes—
187#14579161C2312yes—
188#14579160C2318yes—
189#14579160C2314yes—
190#14579160C2314yes—
191#14579159C2314yes—
192#14579159C2314yes—
193#14579157C2314yes—
194#14579157C2314yes—
195#14579156C2318yes—
196#14579156C2318yes—
197#14579156C2318yes—
198#14579155C2318yes—
199#14579154C2318yes—
200#14579154C2318yes—
201#14579154C2318yes—
202#14579154C2318yes—
203#14579153C2312yes—
204#14579153C2314yes—
205#14579152C2318yes—
206#14579152C2314yes—
207#14579151C2318yes—
208#14579151C2318yes—
209#14579151C2318yes—
210#14579151C2318yes—
211#14579150C2314yes—
212#14579149C2314yes—
213#14579148C2314yes—
214#14579148C2314yes—
215#14579147C2318yes—
216#14579147C2318yes—
217#14579147C2318yes—
218#14579147C2318yes—
219#14579146C2318yes—
220#14579146C2318yes—
221#14579145C2318yes—
222#14579145C2318yes—
223#14579144C2318yes—
224#14579144C2318yes—
225#14579143C2318yes—
226#14579143C2318yes—
227#14579143C2318yes—
228#14579142C2318yes—
229#14579142C2318yes—
230#14579142C2314yes—
231#14579141C2314yes—
232#14579141C2314yes—
233#14579140C2314yes—
234#14579140C2314yes—
235#14579140C2318yes—
236#14579139C2318yes—
237#14579139C2318yes—
238#14579139C2318yes—
239#14579138C2318yes—
240#14579138C2318yes—
241#14579138C2318yes—
242#14579138C2318yes—
243#14579138C2318yes—
244#14579137C2314yes—
245#14579137C2314yes—
246#14579136C2314yes—
247#14579135C2314yes—
248#14579135C2318yes—
249#14579134C2318yes—
250#14579134C2318yes—
251#14579134C2318yes—
252#14579133C2318yes—
253#14579133C2318yes—
254#14579133C2318yes—
255#14579133C2318yes—
256#14579133C2318yes—
257#14579132C2314yes—
258#14579132C2314yes—
259#14579132C2314yes—
260#14579131C2318yes—
261#14579130C2318yes—
262#14579129C2314yes—
263#14579129C2318yes—
264Q8×Dic79C2312yes—
265Q8×Dic79C2312yes—
266Q8×Dic79C2314yes—
267C4×Dic158C2314yes—
268C4×Dic158C2312yes—
269C4×Dic158C2318yes—
270C4×Dic158C2314yes—
271C4×Dic158C2314yes—
272C4×Dic158C2312yes—
273C4×Dic158C2314yes—
274C4×Dic158C2318yes—
275C4×Dic158C2314yes—
276#14579126C2312yes—
277#14579126C2314yes—
278#14579126C2314yes—
279#14579126C2318yes—
280#14579126C2314yes—
281#14579126C2312yes—
282#14579126C2314yes—
283#14579126C2318yes—
284#14579126C2314yes—
285#14579126C2318yes—
286C4×D316C2314yes—
287C4×D316C2312yes—
288C4×D316C2314yes—
289C4×D316C2312yes—
290D4×Dic79C2314yes—
291D4×Dic79C2318yes—
292D4×Dic79C2312yes—
293D4×Dic79C2314yes—
294D4×Dic79C2314yes—
295D4×Dic79C2312yes—
296D4×Dic79C2314yes—
297D4×Dic79C2318yes—
298D4×Dic79C2314yes—
299D4×Dic79C2314yes—
300D4×Dic79C2318yes—
301#14579123C2314yes—
302#14579123C2312yes—
303#14579123C2314yes—
304#14579123C2312yes—
305#14579123C2318yes—
306C4×C22⋊D79C2314yes—
307C4×C22⋊D79C2318yes—
308C4×C22⋊D79C2314yes—
309C4×C22⋊D79C2314yes—
310C4×C22⋊D79C2318yes—
311C4×C22⋊D79C2318yes—
312C4×C22⋊D79C2318yes—
313C4×C22⋊D79C2314yes—
314C4×C22⋊D79C2314yes—
315C4×C22⋊D79C2314yes—
316C4×C22⋊D79C2318yes—
317C4×C22⋊D79C2318yes—
318C4×C22⋊D79C2318yes—
319(C22⋊D79)⋊C4C2318yes—
320(C22⋊D79)⋊C4C2314yes—
321(C22⋊D79)⋊C4C2318yes—
322(C22⋊D79)⋊C4C2318yes—
323(C22⋊D79)⋊C4C2318yes—
324(C22⋊D79)⋊C4C2314yes—
325(C22⋊D79)⋊C4C2314yes—
326(C22⋊D79)⋊C4C2314yes—
327(C22⋊D79)⋊C4C2314yes—
328(C22⋊D79)⋊C4C2314yes—
329(C22⋊D79)⋊C4C2318yes—
330(C22⋊D79)⋊C4C2318yes—
331(C22⋊D79)⋊C4C2318yes—
332(C22⋊D79)⋊C4C2318yes—
333(C22⋊D79)⋊C4C2318yes—
334#14579120C2314yes—
335#14579120C2312yes—
336#14579120C2312yes—
337#14579120C2314yes—
338#14579119C2318yes—
339#14579119C2314yes—
340#14579119C2314yes—
341#14579119C2312yes—
342#14579119C2312yes—
343#14579119C2314yes—
344#14579119C2314yes—
345#14579119C2314yes—
346#14579119C2318yes—
347#14579118C2314yes—
348#14579118C2314yes—
349#14579118C2314yes—
350#14579118C2318yes—
351#14579117C2318yes—
352#14579117C2318yes—
353#14579117C2318yes—
354#14579117C2318yes—
355#14579117C2314yes—
356#14579117C2314yes—
357#14579117C2314yes—
358#14579117C2318yes—
359#14579117C2318yes—
360#14579117C2318yes—
361C2×C4⋊Dic79C2314yes—
362C2×Dic79⋊C4C2318yes—
363C2×Dic79⋊C4C2318yes—
364C4⋊C4×D79C2314yes—
365C4⋊C4×D79C2312yes—
366C4⋊C4×D79C2314yes—
367C4⋊C4×D79C2312yes—
368C2×C22⋊Dic79C2318yes—
369C2×(C2×D79)⋊C4C2318yes—
370C22⋊C4×D79C2314yes—
371C22⋊C4×D79C2314yes—
372C22⋊C4×D79C2314yes—
373C2×C4×Dic79C2314yes—
374C2×C4×Dic79C2314yes—
375C2×C4×Dic79C2314yes—
376C2×C4×Dic79C2311yescharacteristic
377C2×C4×Dic79C2312yes—
378C2×C4×Dic79C2318yes—
379C2×C4×Dic79C2318yes—
380C2×C4×Dic79C2318yes—
381C2×C4×Dic79C2314yes—
382C2×C4×Dic79C2318yes—
383C2×C4×Dic79C2314yes—
384C42×D79C2312yes—
385C42×D79C2314yes—
386C42×D79C2312yes—
387C42×D79C2314yes—
388C42×D79C2312yes—
389C42×D79C2314yes—
390C42×D79C2312yes—
391C42×D79C2314yes—
392C42×D79C2314yes—
393C42×D79C2314yes—
394C42×D79C2314yes—
395C2×#41×C79C2312yes—
396C2×#41×C79C2312yes—
397C22×D4×C79C2314yes—
398C23×C4×C79C2314yes—
399C4⋊Q8×C79C2311yescharacteristic
400#127×C79C2311yescharacteristic
401#126×C79C2318yes—
402#125×C79C2314yes—
403#124×C79C2314yes—
404#124×C79C2312yes—
405#123×C79C2318yes—
406#123×C79C2314yes—
407#123×C79C2314yes—
408C22⋊Q8×C79C2314yes—
409C22⋊Q8×C79C2318yes—
410#121×C79C2318yes—
411#121×C79C2314yes—
412#121×C79C2314yes—
413#120×C79C2314yes—
414#120×C79C2314yes—
415C4×Q8×C79C2312yes—
416C4×Q8×C79C2312yes—
417C4×D4×C79C2314yes—
418C4×D4×C79C2312yes—
419C4×D4×C79C2314yes—
420C4×D4×C79C2312yes—
421C4×D4×C79C2318yes—
422C4×D4×C79C2318yes—
423C4×D4×C79C2314yes—
424C4×D4×C79C2314yes—
425C4×D4×C79C2314yes—
426#117×C79C2314yes—
427#117×C79C2312yes—
428#117×C79C2314yes—
429C2×C4⋊C4×C79C2314yes—
430C2×C22⋊C4×C79C2318yes—
431C2×C42×C79C2314yes—
432C2×C42×C79C2311yescharacteristic
433C23×D79C2411yescharacteristic
434C23×D79C2414yes—
435#11929625—28no—
436#11929624—28no—
437#11929624—216no—
438#11929624—48no—
439#11929623—216no—
440#11929623—232no—
441#11929623—216no—
442#11929623—216no—
443#11929623—216no—
444#11929623—232no—
445#11929623#41116yescomplemented
446C2×Dic158—216no—
447C2×Dic158C2414yes—
448C2×Dic158C2418yes—
449C2×Dic158C2414yes—
450C2×Dic158C2414yes—
451C2×Dic158C2412yes—
452Q8×D79—28no—
453C2×D316C2414yes—
454C2×D316C2412yes—
455C2×D316C2414yes—
456C2×C22⋊D79—232no—
457C2×C22⋊D79C2418yes—
458C2×C22⋊D79C2418yes—
459C2×C22⋊D79C2418yes—
460C2×C22⋊D79C2414yes—
461C2×C22⋊D79C2414yes—
462C2×C22⋊D79C2418yes—
463C2×C22⋊D79C2414yes—
464D4×D79—28no—
465D4×D79—216no—
466C22×Dic79—232no—
467C22×Dic79C2418yes—
468C22×Dic79C2418yes—
469C22×Dic79C2418yes—
470C22×Dic79C2412yes—
471C22×Dic79C2418yes—
472C22×Dic79C2414yes—
473C22×Dic79C2414yes—
474C22×Dic79C2411yescharacteristic
475C22×Dic79C2414yes—
476C2×C4×D79—216no—
477C2×C4×D79—28no—
478C2×C4×D79—216no—
479C2×C4×D79—48no—
480C2×C4×D79—42no—
481C2×C4×D79C2414yes—
482C2×C4×D79C2412yes—
483C2×C4×D79C2414yes—
484C2×C4×D79C2414yes—
485C2×C4×D79C2414yes—
486C2×C4×D79C2414yes—
487C2×C4×D79C2412yes—
488C2×C4×D79C2414yes—
489C2×C4×D79C2414yes—
490C2×C4×D79C2412yes—
491C2×C4×D79C2412yes—
492C2×C4×D79C2412yes—
493C2×C4×D79C2414yes—
494C2×C4×D79C2414yes—
495C2×C4×D79C2412yes—
496C4⋊Dic79C2412yes—
497C4⋊Dic79C2412yes—
498C4⋊Dic79C2414yes—
499C4⋊Dic79C2414yes—
500C4⋊Dic79C2414yes—
501C4⋊Dic79C2418yes—
502C4⋊Dic79C2414yes—
503C4⋊Dic79C2418yes—
504Dic79⋊C4C2414yes—
505Dic79⋊C4C2414yes—
506Dic79⋊C4C2414yes—
507Dic79⋊C4C2414yes—
508Dic79⋊C4C2414yes—
509Dic79⋊C4C2414yes—
510Dic79⋊C4C2418yes—
511Dic79⋊C4C2418yes—
512Dic79⋊C4C2418yes—
513Dic79⋊C4C2418yes—
514Dic79⋊C4C2418yes—
515Dic79⋊C4C2418yes—
516Dic79⋊C4C2418yes—
517Dic79⋊C4C2418yes—
518C22⋊Dic79C2414yes—
519C22⋊Dic79C2414yes—
520C22⋊Dic79C2414yes—
521C22⋊Dic79C2418yes—
522C22⋊Dic79C2418yes—
523C22⋊Dic79C2418yes—
524C22⋊Dic79C2414yes—
525C22⋊Dic79C2418yes—
526(C2×D79)⋊C4C2414yes—
527(C2×D79)⋊C4C2414yes—
528(C2×D79)⋊C4C2414yes—
529(C2×D79)⋊C4C2414yes—
530(C2×D79)⋊C4C2414yes—
531(C2×D79)⋊C4C2414yes—
532(C2×D79)⋊C4C2418yes—
533(C2×D79)⋊C4C2418yes—
534(C2×D79)⋊C4C2418yes—
535(C2×D79)⋊C4C2418yes—
536(C2×D79)⋊C4C2418yes—
537C4×Dic79C2411yescharacteristic
538C4×Dic79C2412yes—
539C4×Dic79C2412yes—
540C4×Dic79C2414yes—
541C4×Dic79C2414yes—
542C4×Dic79C2414yes—
543C4×Dic79C2414yes—
544C4×Dic79C2414yes—
545C4×Dic79C2414yes—
546C4×Dic79C2414yes—
547C4×Dic79C2412yes—
548C4×Dic79C2412yes—
549C4×Dic79C2411yescharacteristic
550C4×Dic79C2414yes—
551C4×Dic79C2412yes—
552C4×Dic79C2414yes—
553C4×Dic79C2414yes—
554C4×Dic79C2418yes—
555C4×Dic79C2418yes—
556C4×Dic79C2414yes—
557C4×Dic79C2414yes—
558C4×Dic79C2418yes—
559C24×C79C2414yes—
560#41×C79—28no—
561#41×C79—44no—
562C2×Q8×C79C2412yes—
563C2×Q8×C79C2412yes—
564C2×D4×C79—216no—
565C2×D4×C79C2418yes—
566C2×D4×C79C2414yes—
567C2×D4×C79C2414yes—
568C2×D4×C79C2412yes—
569C2×D4×C79C2414yes—
570C2×D4×C79C2412yes—
571C22×C4×C79—48no—
572C22×C4×C79C2414yes—
573C22×C4×C79C2414yes—
574C22×C4×C79C2412yes—
575C22×C4×C79C2414yes—
576C22×C4×C79C2414yes—
577C22×C4×C79C2411yescharacteristic
578C22×C4×C79C2418yes—
579C22×C4×C79C2414yes—
580C4⋊C4×C79C2412yes—
581C4⋊C4×C79C2414yes—
582C4⋊C4×C79C2418yes—
583C4⋊C4×C79C2412yes—
584C4⋊C4×C79C2414yes—
585C4⋊C4×C79C2414yes—
586C4⋊C4×C79C2418yes—
587C22⋊C4×C79C2414yes—
588C22⋊C4×C79C2418yes—
589C22⋊C4×C79C2418yes—
590C22⋊C4×C79C2418yes—
591C22⋊C4×C79C2414yes—
592C22⋊C4×C79C2414yes—
593C22⋊C4×C79C2414yes—
594C22⋊C4×C79C2414yes—
595C42×C79C2412yes—
596C42×C79C2411yescharacteristic
597C42×C79C2414yes—
598C42×C79C2414yes—
599C42×C79C2414yes—
600C42×C79C2411yescharacteristic
601C23×C79—216no—
602C23×C79—44no—
603C23×C79C2511yescharacteristic
604C23×C79C2514yes—
605C23×C79C2514yes—
606C22×D79—28no—
607C22×D79—24no—
608C22×D79—28no—
609C22×D79—41no—
610C22×D79—44no—
611C22×D79C2514yes—
612C22×D79C2512yes—
613Q8×C79—24no—
614Q8×C79—42no—
615D4×C79—28no—
616D4×C79—216no—
617D4×C79—28no—
618D4×C79—44no—
619D4×C79—42no—
620D4×C79C2×#4118yescomplemented
621C2×C4×C79—28no—
622C2×C4×C79—28no—
623C2×C4×C79—24no—
624C2×C4×C79—28no—
625C2×C4×C79—22no—
626C2×C4×C79—28no—
627C2×C4×C79—44no—
628C2×C4×C79—48no—
629C2×C4×C79C2514yes—
630C2×C4×C79C2514yes—
631C2×C4×C79C2512yes—
632C2×C4×C79C2511yescharacteristic
633C2×C4×C79C2514yes—
634C2×C4×C79C2514yes—
635C2×C4×C79C2512yes—
636C2×C4×C79C2511yescharacteristic
637C22⋊D79—28no—
638C22⋊D79—216no—
639C22⋊D79—216no—
640C22⋊D79—28no—
641C22⋊D79—216no—
642C22⋊D79—48no—
643C22⋊D79C2×#41116yescomplemented
644C2×Dic79—216no—
645C2×Dic79—28no—
646C2×Dic79—24no—
647C2×Dic79—216no—
648C2×Dic79—216no—
649C2×Dic79—216no—
650C2×Dic79—44no—
651C2×Dic79—41no—
652C2×Dic79C2×#41116yescomplemented
653C2×Dic79C2514yes—
654C2×Dic79C2512yes—
655C2×Dic79C2518yes—
656C2×Dic79C2514yes—
657C2×Dic79C2512yes—
658C2×Dic79C2512yes—
659C2×Dic79C2514yes—
660D316—28no—
661D316—24no—
662D316—44no—
663C4×D79—28no—
664C4×D79—24no—
665C4×D79—24no—
666C4×D79—28no—
667C4×D79—24no—
668C4×D79—28no—
669C4×D79—24no—
670C4×D79—28no—
671C4×D79—28no—
672C4×D79—28no—
673C4×D79—28no—
674C4×D79—44no—
675C4×D79—44no—
676C4×D79—42no—
677C4×D79C2×#4118yescomplemented
678Dic158—28no—
679Dic158—28no—
680Dic158—216no—
681Dic158—44no—
682Dic158C2×#4118yescomplemented
683C22×C79—24no—
684C22×C79—24no—
685C22×C79—22no—
686C22×C79—28no—
687C22×C79—24no—
688C22×C79—21no—
689C22×C79—416no—
690C22×C79C22×#4118yes—
691C22×C79C2611yescharacteristic
692C2×D79—22no—
693C2×D79—22no—
694C2×D79—24no—
695C2×D79—24no—
696C2×D79—24no—
697C2×D79—44no—
698C2×D79—416no—
699C2×D79C22×#4114yes—
700C4×C79—22no—
701C4×C79—24no—
702C4×C79—24no—
703C4×C79—24no—
704C4×C79—24no—
705C4×C79—21no—
706C4×C79C22×#4114yes—
707C4×C79#58512yes—
708Dic79—22no—
709Dic79—28no—
710Dic79—24no—
711Dic79—24no—
712Dic79—22no—
713Dic79C22×#4118yes—
714Dic79C22×#4114yes—
715#412—791nomaximal, Sylow
716C2×C79—28no—
717C2×C79—41no—
718C2×C79—44no—
719C2×C79C23×#4112yes—
720C2×C79C2×#58511yescharacteristic
721D79—24no—
722D79—44no—
723#3483—791no—
724#3482—794no—
725#3482—792no—
726#3481—794no—
727#3481—794no—
728#3481D7911yescharacteristic, complemented
729#3480—792no—
730#3480—794no—
731Q8×#41—792no—
732#3475—792no—
733#3475—794no—
734#3475—798no—
735#3475—794no—
736D4×#41—794no—
737D4×#41—792no—
738#3444—791no—
739#3444—794no—
740#3444—794no—
741C2×C4×#41—792no—
742C2×C4×#41—794no—
743C79#41211yescharacteristic, complemented, Sylow
744C22×#41—792no—
745C22×#41—794no—
746#559—794no—
747#559—794no—
748#559C2×D7911yescharacteristic, complemented
749Q82—791no—
750#557—794no—
751#557—792no—
752#556—798no—
753#556—794no—
754#556—792no—
755#556—794no—
756#555—791no—
757#555—794no—
758#555—794no—
759#554—798no—
760#554—794no—
761#554—794no—
762#554C2×D7912yescomplemented
763#553—798no—
764#553—798no—
765#553—798no—
766#553—794no—
767#553—794no—
768#553C2×D7914yescomplemented
769#552—798no—
770#552—794no—
771#552—798no—
772#552—794no—
773#552—794no—
774#552—798no—
775#551—794no—
776#551—798no—
777#551—794no—
778#551—798no—
779#551—798no—
780#551C2×D7914yescomplemented
781#550—792no—
782#550—794no—
783D4×Q8—794no—
784D4×Q8—792no—
785#548—794no—
786#548—794no—
787#548—794no—
788#547—794no—
789#547—798no—
790#547—794no—
791#547—792no—
792#546—794no—
793#546—798no—
794#546—798no—
795#546—794no—
796#546—798no—
797#546C2×D7914yescomplemented
798D42—794no—
799D42—794no—
800D42C2×D7911yescharacteristic, complemented
801#533—792no—
802#533—794no—
803#533—794no—
804#533—798no—
805#533—794no—
806#533—794no—
807#533—791no—
808#532—794no—
809#532—792no—
810#532—794no—
811#532—794no—
812#532—798no—
813#532—794no—
814#532C2×D7911yescharacteristic, complemented
815#529—798no—
816#529—798no—
817#529—794no—
818#529—794no—
819#529—794no—
820#529—798no—
821#529—798no—
822#529—798no—
823#529—798no—
824#529—798no—
825#529—794no—
826#529—798no—
827#529—798no—
828#529—794no—
829#529—798no—
830#529—794no—
831#529C2×D7914yescomplemented
832#525—792no—
833#525—794no—
834#525—798no—
835#525—794no—
836#525—794no—
837#525—794no—
838#525—798no—
839#525—798no—
840#525—798no—
841#525C2×D7914yescomplemented
842C4×#41—792no—
843C4×#41—792no—
844C4×#41—792no—
845C4×#41—792no—
846C4×#41—792no—
847C4×#41—794no—
848C4×#41—794no—
849C4×#41—798no—
850C4×#41—794no—
851C4×#41—792no—
852C4×#41—794no—
853C4×#41—798no—
854C4×#41—798no—
855C4×#41—794no—
856C4×#41—794no—
857C4×#41—794no—
858C4×#41—794no—
859C4×#41—798no—
860C4×#41—794no—
861C4×#41—794no—
862C4×#41—792no—
863C4×#41—794no—
864C4×#41—794no—
865C4×#41—792no—
866C4×#41C2×D7912yescomplemented
867C2×C4×Q8—792no—
868C2×C4×Q8—792no—
869C2×C4×Q8—794no—
870C2×C4×Q8—794no—
871C2×C4×D4—794no—
872C2×C4×D4—798no—
873C2×C4×D4—792no—
874C2×C4×D4—794no—
875C2×C4×D4—792no—
876C2×C4×D4—794no—
877C2×C4×D4—798no—
878C2×C4×D4C2×D7914yescomplemented
879C2×#117—794no—
880C2×#117—792no—
881C2×#117—794no—
882C2×#117—798no—
883C22×C42—794no—
884C22×C42—794no—
885C22×C42—791no—
886C2×#41—792no—
887C2×#41—792no—
888C2×#41—798no—
889C2×#41—794no—
890C2×#41—794no—
891C2×#41—794no—
892C2×#41—798no—
893C2×#41—794no—
894C2×#41—794no—
895C2×#41—794no—
896C2×#41—792no—
897C2×#41—15832no—
898C2×#41—15816no—
899C2×#41C22×D7912yes—
900C2×#41C22×D7912yes—
901C22×Q8—792no—
902C22×Q8—794no—
903C22×D4—798no—
904C22×D4—794no—
905C22×D4—792no—
906C22×D4C22×D7914yes—
907C23×C4—794no—
908C23×C4—791no—
909C23×C4—798no—
910C23×C4—794no—
911C23×C4—794no—
912C23×C4—792no—
913C23×C4C22×D7914yes—
914C4⋊Q8—794no—
915C4⋊Q8—794no—
916C4⋊Q8—798no—
917C4⋊Q8—794no—
918C4⋊Q8—794no—
919C4⋊Q8—792no—
920C4⋊Q8C22×D7911yescharacteristic
921#127—794no—
922#127—794no—
923#127C22×D7911yescharacteristic
924#126—798no—
925#126—798no—
926#126—798no—
927#126—798no—
928#126—798no—
929#126—798no—
930#126—798no—
931#126—798no—
932#126C22×D7918yes—
933#125—798no—
934#125—798no—
935#125—798no—
936#125—798no—
937#125—798no—
938#125—794no—
939#125—792no—
940#125—794no—
941#125C22×D7914yes—
942#124—794no—
943#124—794no—
944#124—794no—
945#124—798no—
946#124—798no—
947#124—798no—
948#124—798no—
949#124—794no—
950#124C22×D7912yes—
951#124C22×D7914yes—
952#123—798no—
953#123—798no—
954#123—794no—
955#123—798no—
956#123—798no—
957#123—798no—
958#123—798no—
959#123—798no—
960#123—798no—
961#123—798no—
962#123—798no—
963#123—798no—
964#123C22×D7918yes—
965#123C22×D7914yes—
966#123C22×D7914yes—
967C22⋊Q8—794no—
968C22⋊Q8—794no—
969C22⋊Q8—794no—
970C22⋊Q8—794no—
971C22⋊Q8—798no—
972C22⋊Q8—798no—
973C22⋊Q8—794no—
974C22⋊Q8—798no—
975C22⋊Q8—794no—
976C22⋊Q8—798no—
977C22⋊Q8—798no—
978C22⋊Q8—798no—
979C22⋊Q8—798no—
980C22⋊Q8—798no—
981C22⋊Q8—798no—
982C22⋊Q8C22×D7914yes—
983C22⋊Q8C22×D7918yes—
984#121—794no—
985#121—798no—
986#121—798no—
987#121—794no—
988#121—798no—
989#121—794no—
990#121—798no—
991#121—798no—
992#121—794no—
993#121—798no—
994#121—794no—
995#121—798no—
996#121—798no—
997#121—798no—
998#121C22×D7914yes—
999#121C22×D7914yes—
1000#121C22×D7918yes—
1001#120—798no—
1002#120—798no—
1003#120—794no—
1004#120—798no—
1005#120C22×D7914yes—
1006#120C22×D7914yes—
1007C4×Q8—792no—
1008C4×Q8—792no—
1009C4×Q8—794no—
1010C4×Q8—792no—
1011C4×Q8—794no—
1012C4×Q8—798no—
1013C4×Q8—794no—
1014C4×Q8—792no—
1015C4×Q8—794no—
1016C4×Q8—794no—
1017C4×Q8—798no—
1018C4×Q8—794no—
1019C4×Q8—798no—
1020C4×Q8—792no—
1021C4×Q8—794no—
1022C4×Q8—798no—
1023C4×Q8—794no—
1024C4×Q8—794no—
1025C4×Q8—792no—
1026C4×Q8—794no—
1027C4×Q8—798no—
1028C4×Q8—794no—
1029C4×Q8C22×D7912yes—
1030C4×Q8C22×D7912yes—
1031C4×D4—792no—
1032C4×D4—798no—
1033C4×D4—794no—
1034C4×D4—794no—
1035C4×D4—794no—
1036C4×D4—792no—
1037C4×D4—798no—
1038C4×D4—794no—
1039C4×D4—794no—
1040C4×D4—798no—
1041C4×D4—794no—
1042C4×D4—794no—
1043C4×D4—798no—
1044C4×D4—794no—
1045C4×D4—798no—
1046C4×D4—798no—
1047C4×D4—794no—
1048C4×D4—794no—
1049C4×D4—798no—
1050C4×D4—794no—
1051C4×D4—794no—
1052C4×D4—798no—
1053C4×D4—798no—
1054C4×D4—798no—
1055C4×D4—794no—
1056C4×D4—792no—
1057C4×D4—794no—
1058C4×D4—792no—
1059C4×D4—798no—
1060C4×D4—794no—
1061C4×D4—798no—
1062C4×D4—794no—
1063C4×D4—798no—
1064C4×D4—794no—
1065C4×D4—798no—
1066C4×D4—798no—
1067C4×D4—794no—
1068C4×D4—798no—
1069C4×D4—798no—
1070C4×D4—798no—
1071C4×D4—794no—
1072C4×D4—794no—
1073C4×D4—798no—
1074C4×D4—798no—
1075C4×D4—794no—
1076C4×D4—792no—
1077C4×D4—794no—
1078C4×D4—792no—
1079C4×D4C22×D7912yes—
1080C4×D4C22×D7914yes—
1081C4×D4C22×D7912yes—
1082C4×D4C22×D7914yes—
1083C4×D4C22×D7918yes—
1084C4×D4C22×D7914yes—
1085C4×D4C22×D7914yes—
1086C4×D4C22×D7918yes—
1087C4×D4C22×D7914yes—
1088#117—794no—
1089#117—792no—
1090#117—794no—
1091#117—792no—
1092#117—792no—
1093#117—792no—
1094#117—794no—
1095#117—794no—
1096#117—794no—
1097#117—798no—
1098#117—798no—
1099#117—794no—
1100#117—794no—
1101#117—794no—
1102#117—794no—
1103#117—798no—
1104#117—794no—
1105#117—798no—
1106#117—798no—
1107#117—798no—
1108#117—798no—
1109#117—798no—
1110#117—798no—
1111#117—794no—
1112#117—794no—
1113#117—794no—
1114#117—798no—
1115#117C22×D7914yes—
1116#117C22×D7912yes—
1117#117C22×D7914yes—
1118C2×C4⋊C4—798no—
1119C2×C4⋊C4—794no—
1120C2×C4⋊C4—798no—
1121C2×C4⋊C4—794no—
1122C2×C4⋊C4—792no—
1123C2×C4⋊C4—794no—
1124C2×C4⋊C4—792no—
1125C2×C4⋊C4C22×D7914yes—
1126C2×C22⋊C4—798no—
1127C2×C22⋊C4—798no—
1128C2×C22⋊C4—794no—
1129C2×C22⋊C4—794no—
1130C2×C22⋊C4—794no—
1131C2×C22⋊C4C22×D7918yes—
1132C2×C42—794no—
1133C2×C42—798no—
1134C2×C42—798no—
1135C2×C42—794no—
1136C2×C42—798no—
1137C2×C42—794no—
1138C2×C42—791no—
1139C2×C42—792no—
1140C2×C42—798no—
1141C2×C42—794no—
1142C2×C42—794no—
1143C2×C42—794no—
1144C2×C42—792no—
1145C2×C42—794no—
1146C2×C42—792no—
1147C2×C42—792no—
1148C2×C42—794no—
1149C2×C42—794no—
1150C2×C42—794no—
1151C2×C42—794no—
1152C2×C42—794no—
1153C2×C42—792no—
1154C2×C42C22×D7914yes—
1155C2×C42C22×D7911yescharacteristic
1156C24—791no—
1157C24—794no—
1158C24C23×D7914yes—
1159#41—28no—
1160#41—44no—
1161#41—3168no—
1162#41—7916no—
1163#41—15816no—
1164#41—1588no—
1165#41—15832no—
1166#41—15816no—
1167#41—15816no—
1168#41—1588no—
1169#41—15832no—
1170#41—15816no—
1171#41—15816no—
1172C2×Q8—794no—
1173C2×Q8—792no—
1174C2×Q8—798no—
1175C2×Q8—794no—
1176C2×Q8—794no—
1177C2×Q8—15816no—
1178C2×Q8—1588no—
1179C2×Q8C23×D7912yes—
1180C2×Q8C23×D7912yes—
1181C2×D4—216no—
1182C2×D4—798no—
1183C2×D4—794no—
1184C2×D4—798no—
1185C2×D4—798no—
1186C2×D4—794no—
1187C2×D4—794no—
1188C2×D4—798no—
1189C2×D4—794no—
1190C2×D4—794no—
1191C2×D4—792no—
1192C2×D4—15816no—
1193C2×D4—15832no—
1194C2×D4—1588no—
1195C2×D4C23×D7918yes—
1196C2×D4C23×D7914yes—
1197C2×D4C23×D7914yes—
1198C2×D4C23×D7914yes—
1199C2×D4C23×D7912yes—
1200C2×D4C23×D7912yes—
1201C22×C4—48no—
1202C22×C4—3168no—
1203C22×C4—3162no—
1204C22×C4—794no—
1205C22×C4—791no—
1206C22×C4—792no—
1207C22×C4—794no—
1208C22×C4—794no—
1209C22×C4—794no—
1210C22×C4—792no—
1211C22×C4—794no—
1212C22×C4—798no—
1213C22×C4—798no—
1214C22×C4—792no—
1215C22×C4—798no—
1216C22×C4—798no—
1217C22×C4—792no—
1218C22×C4—794no—
1219C22×C4—792no—
1220C22×C4—794no—
1221C22×C4—792no—
1222C22×C4—794no—
1223C22×C4—794no—
1224C22×C4—794no—
1225C22×C4—794no—
1226C22×C4—792no—
1227C22×C4—794no—
1228C22×C4—15816no—
1229C22×C4—15816no—
1230C22×C4—1588no—
1231C22×C4—15832no—
1232C22×C4C23×D7914yes—
1233C22×C4C23×D7914yes—
1234C22×C4C23×D7912yes—
1235C22×C4C23×D7914yes—
1236C22×C4C23×D7914yes—
1237C22×C4C23×D7911yescharacteristic
1238C22×C4C23×D7918yes—
1239C22×C4C23×D7914yes—
1240C4⋊C4—794no—
1241C4⋊C4—794no—
1242C4⋊C4—798no—
1243C4⋊C4—794no—
1244C4⋊C4—794no—
1245C4⋊C4—798no—
1246C4⋊C4—798no—
1247C4⋊C4—794no—
1248C4⋊C4—798no—
1249C4⋊C4—794no—
1250C4⋊C4—798no—
1251C4⋊C4—798no—
1252C4⋊C4—798no—
1253C4⋊C4—798no—
1254C4⋊C4—792no—
1255C4⋊C4—792no—
1256C4⋊C4—794no—
1257C4⋊C4—798no—
1258C4⋊C4—794no—
1259C4⋊C4—794no—
1260C4⋊C4—798no—
1261C4⋊C4—794no—
1262C4⋊C4C23×D7912yes—
1263C4⋊C4C23×D7912yes—
1264C4⋊C4C23×D7914yes—
1265C4⋊C4C23×D7914yes—
1266C4⋊C4C23×D7914yes—
1267C4⋊C4C23×D7918yes—
1268C4⋊C4C23×D7918yes—
1269C22⋊C4—794no—
1270C22⋊C4—794no—
1271C22⋊C4—798no—
1272C22⋊C4—794no—
1273C22⋊C4—798no—
1274C22⋊C4—798no—
1275C22⋊C4—794no—
1276C22⋊C4—798no—
1277C22⋊C4—794no—
1278C22⋊C4—798no—
1279C22⋊C4—794no—
1280C22⋊C4—798no—
1281C22⋊C4—794no—
1282C22⋊C4—794no—
1283C22⋊C4—794no—
1284C22⋊C4—798no—
1285C22⋊C4—794no—
1286C22⋊C4—798no—
1287C22⋊C4—798no—
1288C22⋊C4C23×D7914yes—
1289C22⋊C4C23×D7914yes—
1290C22⋊C4C23×D7914yes—
1291C22⋊C4C23×D7918yes—
1292C22⋊C4C23×D7918yes—
1293C22⋊C4C23×D7918yes—
1294C22⋊C4C23×D7914yes—
1295C22⋊C4C23×D7914yes—
1296C42—794no—
1297C42—792no—
1298C42—794no—
1299C42—792no—
1300C42—794no—
1301C42—794no—
1302C42—798no—
1303C42—792no—
1304C42—794no—
1305C42—794no—
1306C42—794no—
1307C42—798no—
1308C42—792no—
1309C42—794no—
1310C42—798no—
1311C42—792no—
1312C42—794no—
1313C42—794no—
1314C42—791no—
1315C42—794no—
1316C42—791no—
1317C42—794no—
1318C42C23×D7911yescharacteristic
1319C42C23×D7914yes—
1320C42C23×D7911yescharacteristic
1321C42C23×D7914yes—
1322C42C23×D7912yes—
1323C42C23×D7914yes—
1324C23—216no—
1325C23—44no—
1326C23—3164no—
1327C23—3161no—
1328C23—792no—
1329C23—794no—
1330C23—1588no—
1331C23—1584no—
1332C23—1588no—
1333C23C24×D7911yescharacteristic
1334C23C24×D7914yes—
1335C23C24×D7914yes—
1336Q8—24no—
1337Q8—42no—
1338Q8—3164no—
1339Q8—798no—
1340Q8—15816no—
1341Q8—1588no—
1342Q8—1588no—
1343D4—216no—
1344D4—28no—
1345D4—28no—
1346D4—44no—
1347D4—42no—
1348D4—3164no—
1349D4—3168no—
1350D4—7916no—
1351D4—1588no—
1352D4—1588no—
1353D4—15816no—
1354D4—15816no—
1355D4—1588no—
1356D4—15816no—
1357D4—1584no—
1358D4#41×D7918yescomplemented
1359C2×C4—28no—
1360C2×C4—28no—
1361C2×C4—28no—
1362C2×C4—22no—
1363C2×C4—28no—
1364C2×C4—24no—
1365C2×C4—44no—
1366C2×C4—48no—
1367C2×C4—3164no—
1368C2×C4—3164no—
1369C2×C4—3162no—
1370C2×C4—3161no—
1371C2×C4—3164no—
1372C2×C4—792no—
1373C2×C4—794no—
1374C2×C4—7916no—
1375C2×C4—798no—
1376C2×C4—794no—
1377C2×C4—792no—
1378C2×C4—792no—
1379C2×C4—798no—
1380C2×C4—794no—
1381C2×C4—1584no—
1382C2×C4—1588no—
1383C2×C4—1588no—
1384C2×C4—1588no—
1385C2×C4—1588no—
1386C2×C4—1584no—
1387C2×C4—1588no—
1388C2×C4—1588no—
1389C2×C4—15816no—
1390C2×C4—1584no—
1391C2×C4—15816no—
1392C2×C4—15816no—
1393C2×C4—15816no—
1394C2×C4—1584no—
1395C2×C4—1588no—
1396C2×C4—1584no—
1397C2×C4—1588no—
1398C2×C4C24×D7914yes—
1399C2×C4C24×D7912yes—
1400C2×C4C24×D7914yes—
1401C2×C4C24×D7911yescharacteristic
1402C2×C4C24×D7914yes—
1403C2×C4C24×D7914yes—
1404C2×C4C24×D7912yes—
1405C2×C4C24×D7911yescharacteristic
1406C22—24no—
1407C22—24no—
1408C22—22no—
1409C22—28no—
1410C22—24no—
1411C22—21no—
1412C22—416no—
1413C22—31616no—
1414C22—3164no—
1415C22—794no—
1416C22—1584no—
1417C22—1584no—
1418C22—1584no—
1419C22—1582no—
1420C22—1582no—
1421C22C2×#41×D7918yes—
1422C22C25×D7911yescharacteristic
1423C4—22no—
1424C4—24no—
1425C4—24no—
1426C4—24no—
1427C4—24no—
1428C4—21no—
1429C4—794no—
1430C4—798no—
1431C4—1584no—
1432C4—1582no—
1433C4—1588no—
1434C4—1582no—
1435C4—1584no—
1436C4C2×#41×D7914yes—
1437C4#1909939812yes—
1438C2—28no—
1439C2—44no—
1440C2—41no—
1441C2—3164no—
1442C2—1584no—
1443C2C22×#41×D7912yes—
1444C2C2×#1909939811yescharacteristic
subgroupG/H
centerC2×C4C24×D79
commutator, socle, cosocleC22×C79C26
FrattiniC22C25×D79
FittingC79×#3481C2
hypercenter#3481D79
hypocenterC79#412
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C2×C4 ◁ #3481

Complements

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

NH ≅ G/Ntype
1. #23777024C2semidirect
2. #23777015C2semidirect
3. #23777013C2semidirect
4. #23777004C2semidirect
5. #23777002C2semidirect
6. #23776996C2semidirect
7. #23776994C2semidirect
8. #23776979C2semidirect
9. #23776966C2semidirect
10. #23776959C2semidirect
11. #23776955C2semidirect
12. #23776951C2semidirect
13. #23776884C2semidirect
14. D4×#11929623C2semidirect
15. #23776695C2semidirect
16. #23776694C2semidirect
17. #23776692C2semidirect
18. C2×C4×#11929623C2semidirect
19. C4×#41×D79C2semidirect
20. C79×#3481C2semidirect
23. #19099297C22semidirect
24. #19099296C22semidirect
25. #19099293C22semidirect
26. #19099291C22semidirect
27. #19099290C22semidirect
28. #19099286C22semidirect
29. #19099282C22semidirect
30. #19099281C22semidirect
31. #19099280C22semidirect
32. #19099279C22semidirect
33. #19099277C22semidirect
34. #19099275C22semidirect
35. #19099272C22semidirect
36. #19099268C22semidirect
37. #19099267C22semidirect
38. #19099263C22semidirect
39. #19099262C22semidirect
40. #19099261C22semidirect
41. #19099258C22semidirect
42. #19099256C22semidirect
43. #19099255C22semidirect
44. #19099253C22semidirect
45. #19099251C22semidirect
46. #19099250C22semidirect
47. #19099249C22semidirect
48. #19099246C22semidirect
49. #19099244C22semidirect
50. #19099242C22semidirect
51. #19099241C22semidirect
52. #19099240C22semidirect
53. #19099239C22semidirect
54. #19099233C22semidirect
55. #19099231C22semidirect
56. D4×Dic158C22semidirect
57. #19099226C22semidirect
58. #19099222C22semidirect
59. #19099221C22semidirect
60. #19099219C22semidirect
61. #19099217C22semidirect
62. #19099213C22semidirect
63. #19099212C22semidirect
64. #19099211C22semidirect
65. #19099208C22semidirect
66. #19099207C22semidirect
67. #19099203C22semidirect
68. #19099202C22semidirect
69. #19099200C22semidirect
70. D4×C22⋊D79C22semidirect
71. #19099195C22semidirect
72. #19099120C22semidirect
73. #19099119C22semidirect
74. #19099118C22semidirect
75. #19099117C22semidirect
76. #19099116C22semidirect
77. #19099115C22semidirect
78. #19099115C22semidirect
79. #19099112C22semidirect
80. #19099111C22semidirect
81. #19099110C22semidirect
82. #19099109C22semidirect
83. #19099108C22semidirect
84. #19099108C22semidirect
85. #19099099C22semidirect
86. #19099098C22semidirect
87. #19099097C22semidirect
88. #19099096C22semidirect
89. #19099096C22semidirect
90. #19099095C22semidirect
91. #19099094C22semidirect
92. #19099094C22semidirect
93. #19099093C22semidirect
94. #19099093C22semidirect
95. #19099092C22semidirect
96. #19099092C22semidirect
97. #19099091C22semidirect
98. #19099090C22semidirect
99. #19099090C22semidirect
100. #19099090C22semidirect
101. #19099076C22semidirect
102. #19099074C22semidirect
103. #19099073C22semidirect
104. #19099073C22semidirect
105. #19099072C22semidirect
106. #19099071C22semidirect
107. #19099070C22semidirect
108. #19099069C22semidirect
109. #19099069C22semidirect
110. #41×Dic79C22semidirect
111. #41×Dic79C22semidirect
112. C4×#11929625C22semidirect
113. C4×#11929625C22semidirect
114. C4×#11929624C22semidirect
115. C4×#11929624C22semidirect
116. #19099031C22semidirect
117. #19099031C22semidirect
118. #19099031C22semidirect
122. C4×#11929623C22semidirect
123. C4×#11929623C22semidirect
124. C4×#11929623C22semidirect
125. C4×#11929623C22semidirect
126. C4×#11929623C22semidirect
127. C4×#11929623C22semidirect
128. C4×#11929623C22semidirect
129. C4×#11929623C22semidirect
130. C4×#11929623C22semidirect
131. C4×#11929623C22semidirect
132. C4×#11929623C22semidirect
133. C4×#11929623C22semidirect
134. C2×C4×Dic158C22semidirect
135. C2×#14579126C22semidirect
136. C4×Q8×D79C22semidirect
137. C4×Q8×D79C22semidirect
138. C2×D4×Dic79C22semidirect
139. C2×C4×C22⋊D79C22semidirect
140. C2×(C22⋊D79)⋊C4C22semidirect
141. C4×D4×D79C22semidirect
142. C4×D4×D79C22semidirect
143. C4×D4×D79C22semidirect
144. C4×D4×D79C22semidirect
145. C2×#14579119C22semidirect
146. C2×#14579117C22semidirect
147. #117×D79C22semidirect
148. #117×D79C22semidirect
149. C22×C4×Dic79C22semidirect
150. C2×C42×D79C22semidirect
151. C2×C42×D79C22semidirect
152. #559×C79C22semidirect
153. #554×C79C22semidirect
154. #553×C79C22semidirect
155. #551×C79C22semidirect
156. #546×C79C22semidirect
157. D42×C79C22semidirect
158. #532×C79C22semidirect
159. #529×C79C22semidirect
160. #525×C79C22semidirect
161. C4×#41×C79C22semidirect
162. C2×C4×D4×C79C22semidirect
445. #11929623#41semidirect
620. D4×C79C2×#41semidirect
643. C22⋊D79C2×#41semidirect
652. C2×Dic79C2×#41semidirect
677. C4×D79C2×#41semidirect
682. Dic158C2×#41semidirect
728. #3481D79semidirect
743. C79#412semidirect
748. #559C2×D79semidirect
762. #554C2×D79semidirect
768. #553C2×D79semidirect
780. #551C2×D79semidirect
797. #546C2×D79semidirect
800. D42C2×D79semidirect
814. #532C2×D79semidirect
831. #529C2×D79semidirect
841. #525C2×D79semidirect
866. C4×#41C2×D79semidirect
878. C2×C4×D4C2×D79semidirect
1358. D4#41×D79semidirect

Maximal subgroups

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

subgroupindex
#237770242
#237770152
#237770132
#237770042
#237770022
#237769962
#237769942
#237769792
#237769662
#237769592
#237769552
#237769512
#237768842
D4×#119296232
#237766952
#237766942
#237766922
C2×C4×#119296232
C4×#41×D792
C79×#34812
#41279