Finite Group Databasebeta

← #35196964

Subgroups — #35196964

Order 20224.

7274 conjugacy classes of subgroups.

The subgroup lattice has 1454 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777943C218yesmaximal, complemented
2#23777933C214yesmaximal, complemented
3#23777915C214yesmaximal, complemented
4#23777754C214yesmaximal, complemented
5#23777744C211yesmaximal, characteristic, complemented
6#23777730C212yesmaximal, complemented
7#23777486C212yesmaximal, complemented
8#23777484C212yesmaximal, complemented
9#23777435C212yesmaximal, complemented
10#23777433C212yesmaximal, complemented
11#23777345C214yesmaximal, complemented
12#23777335C214yesmaximal, complemented
13#23777240C214yesmaximal, complemented
14#23777158C214yesmaximal, complemented
15#23777138C214yesmaximal, complemented
16#23777133C214yesmaximal, complemented
17#23777043C214yesmaximal, complemented
18C2×#19099114C211yesmaximal, characteristic, complemented
19#529×D79C212yesmaximal, complemented
20C79×#3544C211yesmaximal, characteristic, complemented
21C2×#14579207C2214yescomplemented
22C22×#11929625C2212yescomplemented
23#19099312C2214yescomplemented
24#19099312C2214yescomplemented
25#19099309C2218yescomplemented
26#19099305C2214yescomplemented
27#19099304C2218yescomplemented
28#19099298C2214yescomplemented
29#19099298C2212yescomplemented
30#19099296C2214yescomplemented
31#19099293C2211yescharacteristic, complemented
32#19099279C2214yescomplemented
33#19099279C2211yescharacteristic, complemented
34#19099275C2214yescomplemented
35#19099274C2214yescomplemented
36#19099274C2212yescomplemented
37#19099269C2214yescomplemented
38#19099266C2218yescomplemented
39#19099266C2218yescomplemented
40#19099266C2214yescomplemented
41#19099264C2218yescomplemented
42#19099261C2214yescomplemented
43#19099258C2218yescomplemented
44#19099257C2214yescomplemented
45#19099257C2214yescomplemented
46#19099248C2214yescomplemented
47#19099240C2218yescomplemented
48#19099240C2218yescomplemented
49#19099238C2218yescomplemented
50#19099237C2218yescomplemented
51#19099236C2218yescomplemented
52#19099235C2212yescomplemented
53#19099234C2212yescomplemented
54#19099225C2214yescomplemented
55#19099223C2214yescomplemented
56#19099216C2218yescomplemented
57#19099216C2218yescomplemented
58#19099216C2214yescomplemented
59#19099215C2218yescomplemented
60#19099215C2218yescomplemented
61#19099214C2214yescomplemented
62#19099214C2214yescomplemented
63#19099210C2214yescomplemented
64#19099209C2214yescomplemented
65#19099206C2218yescomplemented
66#19099206C2218yescomplemented
67#19099205C2218yescomplemented
68#19099205C2218yescomplemented
69#19099204C2218yescomplemented
70#19099204C2218yescomplemented
71#19099204C2214yescomplemented
72#19099204C2214yescomplemented
73#19099204C2218yescomplemented
74#19099201C2218yescomplemented
75D4×D316C2214yescomplemented
76D4×D316C2214yescomplemented
77D4×D316C2212yescomplemented
78#19099197C2214yescomplemented
79#19099197C2214yescomplemented
80#19099190C2214yescomplemented
81#19099187C2214yescomplemented
82#19099187C2214yescomplemented
83#19099187C2218yescomplemented
84#19099186C2214yescomplemented
85#19099183C2218yescomplemented
86#19099169C2214yescomplemented
87#19099169C2214yescomplemented
88#19099168C2214yescomplemented
89#19099166C2214yescomplemented
90#19099161C2218yescomplemented
91#19099161C2218yescomplemented
92#19099159C2218yescomplemented
93#19099153C2218yescomplemented
94#19099152C2218yescomplemented
95#19099152C2218yescomplemented
96#19099149C2218yescomplemented
97#19099147C2218yescomplemented
98#19099143C2218yescomplemented
99#19099137C2214yescomplemented
100#19099132C2214yescomplemented
101#19099131C2214yescomplemented
102#19099124C2218yescomplemented
103#19099124C2218yescomplemented
104#19099124C2218yescomplemented
105#19099114C2214yescomplemented
106#19099114C2214yescomplemented
107#19099114C2214yescomplemented
108#19099114C2214yescomplemented
109#19099114C2212yescomplemented
110#19099114C2212yescomplemented
111#19099110C2214yescomplemented
112C2×#14579158C2211yescharacteristic, complemented
113#19099100C2214yescomplemented
114#19099100C2212yescomplemented
115#19099099C2212yescomplemented
116#19099098C2212yescomplemented
117#19099098C2214yescomplemented
118#19099097C2212yescomplemented
119#19099096C2214yescomplemented
120#19099095C2212yescomplemented
121#19099094C2212yescomplemented
122#19099093C2214yescomplemented
123#19099092C2212yescomplemented
124#19099091C2214yescomplemented
125#19099090C2214yescomplemented
126#126×D79C2214yescomplemented
127#125×D79C2212yescomplemented
128C2×#14579150C2212yescomplemented
129#124×D79C2212yescomplemented
130#19099076C2214yescomplemented
131#19099075C2214yescomplemented
132#19099075C2214yescomplemented
133#19099070C2214yescomplemented
134#123×D79C2214yescomplemented
135#123×D79C2218yescomplemented
136C22⋊Q8×D79C2212yescomplemented
137C2×#14579136C2214yescomplemented
138C2×#14579136C2214yescomplemented
139#121×D79C2212yes—
140#121×D79C2214yescomplemented
141#19099045C2214yescomplemented
142#19099044C2214yescomplemented
143#19099037C2214yescomplemented
144#19099037C2214yescomplemented
145#19099035C2214yescomplemented
146C4×Q8×D79C2212yescomplemented
147C2×#14579123C2214yescomplemented
148C4×D4×D79C2214yescomplemented
149C4×D4×D79C2212yescomplemented
150#117×D79C2214yescomplemented
151C2×C42×D79C2211yescharacteristic, complemented
152#563×C79C2214yescomplemented
153Q82×C79C2211yescharacteristic, complemented
154#555×C79C2211yescharacteristic, complemented
155#554×C79C2212yescomplemented
156#552×C79C2214yescomplemented
157#547×C79C2214yescomplemented
158#544×C79C2214yescomplemented
159#542×C79C2214yescomplemented
160#536×C79C2214yescomplemented
161C2×C4⋊Q8×C79C2211yescharacteristic, complemented
162#529×C79C2212yescomplemented
163#14579207—416no—
164C2×#11929625—48no—
165C2×#11929625C2318yes—
166C2×#11929625C2314yes—
167C2×#11929625C2314yes—
168C2×#11929625C2318yes—
169C2×#11929625C2314yes—
170C2×#11929624C2314yes—
171C2×#11929624C2318yes—
172C2×#11929624C2314yes—
173C2×Q8×D79C2312yes—
174C22×D316C2314yes—
175C22×D316C2318yes—
176C22×D316C2314yes—
177C22×D316C2314yes—
178C22×D316C2312yes—
179C2×D4×D79C2314yes—
180C2×D4×D79C2318yes—
181C2×D4×D79C2318yes—
182C2×D4×D79C2312yes—
183C2×D4×D79C2314yes—
184C22×C4×D79C2311yescharacteristic
185C22×C4×D79C2312yes—
186C22×C4×D79C2314yes—
187C22×C4×D79C2314yes—
188#14579160C2314yes—
189#14579159C2314yes—
190#14579159C2314yes—
191#14579158C2314yes—
192#14579158C2314yes—
193#14579158C2312yes—
194#14579158C2312yes—
195#14579157C2314yes—
196#14579156C2318yes—
197#14579156C2314yes—
198#14579156C2314yes—
199#14579156C2318yes—
200#14579156C2318yes—
201#14579156C2318yes—
202#14579156C2314yes—
203#14579155C2318yes—
204#14579155C2314yes—
205#14579154C2314yes—
206#14579154C2314yes—
207#14579154C2314yes—
208#14579153C2312yes—
209#14579152C2314yes—
210#14579152C2312yes—
211#14579152C2312yes—
212#14579151C2314yes—
213#14579151C2318yes—
214#14579151C2314yes—
215#14579150C2314yes—
216#14579150C2314yes—
217#14579150C2314yes—
218#14579150C2314yes—
219#14579150C2314yes—
220#14579150C2318yes—
221#14579150C2312yes—
222#14579150C2314yes—
223#14579150C2314yes—
224#14579149C2318yes—
225#14579149C2312yes—
226#14579149C2314yes—
227#14579148C2312yes—
228#14579147C2314yes—
229#14579147C2318yes—
230#14579147C2318yes—
231#14579147C2314yes—
232#14579146C2318yes—
233#14579146C2318yes—
234#14579146C2318yes—
235#14579146C2318yes—
236#14579146C2318yes—
237#14579146C2318yes—
238#14579146C2318yes—
239#14579146C2318yes—
240#14579146C2318yes—
241#14579146C2318yes—
242#14579146C2318yes—
243#14579146C2318yes—
244#14579146C2314yes—
245#14579146C2314yes—
246#14579145C2318yes—
247#14579145C2314yes—
248#14579144C2314yes—
249#14579144C2318yes—
250#14579144C2318yes—
251#14579143C2318yes—
252#14579143C2318yes—
253#14579143C2318yes—
254#14579143C2314yes—
255#14579143C2314yes—
256#14579142C2314yes—
257#14579141C2318yes—
258#14579141C2318yes—
259#14579141C2314yes—
260#14579141C2312yes—
261#14579140C2312yes—
262#14579139C2318yes—
263#14579139C2318yes—
264#14579139C2314yes—
265#14579139C2318yes—
266#14579138C2314yes—
267#14579137C2318yes—
268#14579137C2318yes—
269#14579137C2318yes—
270#14579137C2318yes—
271#14579137C2312yes—
272#14579136C2318yes—
273#14579136C2318yes—
274#14579136C2318yes—
275#14579136C2318yes—
276#14579136C2318yes—
277#14579136C2318yes—
278#14579136C2318yes—
279#14579136C2314yes—
280#14579136C2314yes—
281#14579136C2314yes—
282#14579136C2318yes—
283#14579136C2314yes—
284#14579136C2314yes—
285#14579136C2318yes—
286#14579136C2318yes—
287#14579136C2312yes—
288#14579136C2314yes—
289#14579136C2314yes—
290#14579135C2318yes—
291#14579135C2314yes—
292#14579135C2314yes—
293#14579135C2312yes—
294#14579134C2314yes—
295#14579134C2318yes—
296#14579134C2318yes—
297#14579134C2318yes—
298#14579134C2318yes—
299#14579134C2318yes—
300#14579134C2318yes—
301#14579134C2318yes—
302#14579133C2318yes—
303#14579133C2314yes—
304#14579132C2318yes—
305#14579132C2312yes—
306#14579131C2318yes—
307#14579131C2318yes—
308#14579131C2318yes—
309#14579131C2318yes—
310#14579131C2318yes—
311#14579131C2318yes—
312#14579131C2318yes—
313#14579131C2318yes—
314#14579129C2318yes—
315#14579129C2318yes—
316Q8×Dic79C2312yes—
317C4×Dic158C2312yes—
318C4×Dic158C2314yes—
319#14579126C2314yes—
320#14579126C2312yes—
321#14579126C2314yes—
322C4×D316C2318yes—
323C4×D316C2318yes—
324C4×D316C2318yes—
325C4×D316C2318yes—
326C4×D316C2318yes—
327C4×D316C2314yes—
328C4×D316C2314yes—
329C4×D316C2314yes—
330C4×D316C2312yes—
331D4×Dic79C2312yes—
332D4×Dic79C2314yes—
333#14579123C2318yes—
334#14579123C2318yes—
335#14579123C2318yes—
336#14579123C2314yes—
337#14579123C2312yes—
338#14579123C2314yes—
339#14579123C2314yes—
340#14579123C2314yes—
341#14579123C2314yes—
342#14579123C2318yes—
343#14579123C2314yes—
344#14579123C2314yes—
345#14579123C2314yes—
346#14579123C2318yes—
347C4×C22⋊D79C2318yes—
348C4×C22⋊D79C2318yes—
349C4×C22⋊D79C2318yes—
350C4×C22⋊D79C2314yes—
351C4×C22⋊D79C2314yes—
352C4×C22⋊D79C2314yes—
353(C22⋊D79)⋊C4C2314yes—
354(C22⋊D79)⋊C4C2318yes—
355(C22⋊D79)⋊C4C2314yes—
356(C22⋊D79)⋊C4C2314yes—
357#14579120C2314yes—
358#14579120C2314yes—
359#14579119C2318yes—
360#14579119C2314yes—
361#14579119C2314yes—
362#14579119C2314yes—
363#14579118C2314yes—
364#14579118C2314yes—
365#14579118C2318yes—
366#14579117C2314yes—
367#14579117C2314yes—
368C4⋊C4×D79C2314yes—
369C4⋊C4×D79C2318yes—
370C4⋊C4×D79C2318yes—
371C4⋊C4×D79C2314yes—
372C4⋊C4×D79C2312yes—
373C4⋊C4×D79C2314yes—
374C4⋊C4×D79C2314yes—
375C4⋊C4×D79C2312yes—
376C4⋊C4×D79C2314yes—
377C2×(C2×D79)⋊C4C2318yes—
378C2×(C2×D79)⋊C4C2318yes—
379C22⋊C4×D79C2318yes—
380C22⋊C4×D79C2318yes—
381C22⋊C4×D79C2314yes—
382C22⋊C4×D79C2318yes—
383C22⋊C4×D79C2314yes—
384C22⋊C4×D79C2314yes—
385C22⋊C4×D79C2314yes—
386C22⋊C4×D79C2318yes—
387C22⋊C4×D79C2314yes—
388C2×C4×Dic79C2312yes—
389C2×C4×Dic79C2311yescharacteristic
390C42×D79C2312yes—
391C42×D79C2312yes—
392C42×D79C2312yes—
393C42×D79C2312yes—
394C42×D79C2314yes—
395C2×#41×C79C2314yes—
396C22×Q8×C79C2312yes—
397C4⋊Q8×C79C2314yes—
398C4⋊Q8×C79C2314yes—
399C4⋊Q8×C79C2314yes—
400C4⋊Q8×C79C2314yes—
401C4⋊Q8×C79C2311yescharacteristic
402C4⋊Q8×C79C2311yescharacteristic
403C4⋊Q8×C79C2312yes—
404#126×C79C2318yes—
405#126×C79C2314yes—
406#125×C79C2318yes—
407#125×C79C2312yes—
408#125×C79C2314yes—
409#124×C79C2314yes—
410#124×C79C2314yes—
411#124×C79C2312yes—
412#123×C79C2318yes—
413#123×C79C2318yes—
414#123×C79C2314yes—
415C22⋊Q8×C79C2318yes—
416C22⋊Q8×C79C2318yes—
417C22⋊Q8×C79C2314yes—
418C22⋊Q8×C79C2312yes—
419C22⋊Q8×C79C2318yes—
420#121×C79C2314yes—
421#121×C79C2312yes—
422C4×Q8×C79C2314yes—
423C4×Q8×C79C2312yes—
424C4×D4×C79C2314yes—
425C4×D4×C79C2312yes—
426C4×D4×C79C2314yes—
427#117×C79C2314yes—
428#117×C79C2314yes—
429#117×C79C2314yes—
430C2×C4⋊C4×C79C2314yes—
431C2×C4⋊C4×C79C2314yes—
432C2×C42×C79C2311yescharacteristic
433C23×D79C2414yes—
434C23×D79C2414yes—
435C23×D79C2418yes—
436C23×D79C2411yescharacteristic
437#11929625—48no—
438#11929625—48no—
439#11929625—416no—
440#11929625—48no—
441#11929625—416no—
442#11929624—48no—
443#11929624—416no—
444#11929624—48no—
445C2×Dic158C2412yes—
446C2×Dic158C2414yes—
447C2×Dic158C2414yes—
448Q8×D79—44no—
449C2×D316—216no—
450C2×D316—44no—
451C2×D316—48no—
452C2×D316—48no—
453C2×D316—416no—
454C2×D316C2418yes—
455C2×D316C2414yes—
456C2×D316C2418yes—
457C2×D316C2414yes—
458C2×D316C2414yes—
459C2×D316C2412yes—
460C2×D316C2414yes—
461C2×D316C2414yes—
462C2×D316C2414yes—
463C2×D316C2418yes—
464C2×D316C2418yes—
465C2×D316C2418yes—
466C2×D316C2418yes—
467C2×C22⋊D79C2414yes—
468C2×C22⋊D79C2414yes—
469C2×C22⋊D79C2418yes—
470C2×C22⋊D79C2418yes—
471C2×C22⋊D79C2414yes—
472C2×C22⋊D79C2418yes—
473D4×D79—216no—
474D4×D79—416no—
475D4×D79—416no—
476D4×D79—44no—
477D4×D79—48no—
478C22×Dic79C2411yescharacteristic
479C22×Dic79C2412yes—
480C22×Dic79C2414yes—
481C2×C4×D79—24no—
482C2×C4×D79—48no—
483C2×C4×D79—44no—
484C2×C4×D79—48no—
485C2×C4×D79C2412yes—
486C2×C4×D79C2414yes—
487C2×C4×D79C2412yes—
488C2×C4×D79C2412yes—
489C2×C4×D79C2414yes—
490C2×C4×D79C2412yes—
491C2×C4×D79C2414yes—
492C2×C4×D79C2418yes—
493C2×C4×D79C2418yes—
494C2×C4×D79C2418yes—
495C2×C4×D79C2418yes—
496C2×C4×D79C2418yes—
497C2×C4×D79C2418yes—
498C2×C4×D79C2412yes—
499C2×C4×D79C2412yes—
500C2×C4×D79C2414yes—
501C2×C4×D79C2414yes—
502C4⋊Dic79C2414yes—
503C4⋊Dic79C2412yes—
504C4⋊Dic79C2414yes—
505C4⋊Dic79C2414yes—
506C4⋊Dic79C2412yes—
507C4⋊Dic79C2414yes—
508C4⋊Dic79C2418yes—
509Dic79⋊C4C2414yes—
510Dic79⋊C4C2414yes—
511Dic79⋊C4C2418yes—
512Dic79⋊C4C2414yes—
513Dic79⋊C4C2414yes—
514Dic79⋊C4C2414yes—
515Dic79⋊C4C2414yes—
516Dic79⋊C4C2414yes—
517Dic79⋊C4C2414yes—
518Dic79⋊C4C2418yes—
519Dic79⋊C4C2414yes—
520Dic79⋊C4C2414yes—
521C22⋊Dic79C2414yes—
522C22⋊Dic79C2414yes—
523C22⋊Dic79C2414yes—
524C22⋊Dic79C2414yes—
525C22⋊Dic79C2414yes—
526(C2×D79)⋊C4C2414yes—
527(C2×D79)⋊C4C2414yes—
528(C2×D79)⋊C4C2414yes—
529(C2×D79)⋊C4C2418yes—
530(C2×D79)⋊C4C2418yes—
531(C2×D79)⋊C4C2414yes—
532(C2×D79)⋊C4C2414yes—
533(C2×D79)⋊C4C2414yes—
534(C2×D79)⋊C4C2414yes—
535(C2×D79)⋊C4C2414yes—
536(C2×D79)⋊C4C2414yes—
537(C2×D79)⋊C4C2414yes—
538(C2×D79)⋊C4C2418yes—
539(C2×D79)⋊C4C2418yes—
540(C2×D79)⋊C4C2418yes—
541(C2×D79)⋊C4C2418yes—
542(C2×D79)⋊C4C2418yes—
543(C2×D79)⋊C4C2418yes—
544(C2×D79)⋊C4C2418yes—
545(C2×D79)⋊C4C2418yes—
546(C2×D79)⋊C4C2418yes—
547(C2×D79)⋊C4C2418yes—
548C4×Dic79C2411yescharacteristic
549C4×Dic79C2412yes—
550C4×Dic79C2412yes—
551C4×Dic79C2412yes—
552C4×Dic79C2412yes—
553C4×Dic79C2412yes—
554C4×Dic79C2411yescharacteristic
555C4×Dic79C2414yes—
556C4×Dic79C2414yes—
557C4×Dic79C2414yes—
558C4×Dic79C2414yes—
559C4×Dic79C2414yes—
560#41×C79—48no—
561C2×Q8×C79—44no—
562C2×Q8×C79C2412yes—
563C2×Q8×C79C2412yes—
564C2×Q8×C79C2414yes—
565C2×Q8×C79C2414yes—
566C2×Q8×C79C2412yes—
567C2×D4×C79C2412yes—
568C2×D4×C79C2414yes—
569C2×D4×C79C2414yes—
570C22×C4×C79C2414yes—
571C22×C4×C79C2414yes—
572C22×C4×C79C2412yes—
573C22×C4×C79C2411yescharacteristic
574C22×C4×C79C2418yes—
575C4⋊C4×C79C2414yes—
576C4⋊C4×C79C2412yes—
577C4⋊C4×C79C2414yes—
578C4⋊C4×C79C2418yes—
579C4⋊C4×C79C2418yes—
580C4⋊C4×C79C2412yes—
581C4⋊C4×C79C2418yes—
582C4⋊C4×C79C2414yes—
583C4⋊C4×C79C2414yes—
584C4⋊C4×C79C2414yes—
585C4⋊C4×C79C2414yes—
586C4⋊C4×C79C2418yes—
587C22⋊C4×C79C2414yes—
588C22⋊C4×C79C2414yes—
589C22⋊C4×C79C2418yes—
590C22⋊C4×C79C2414yes—
591C22⋊C4×C79C2418yes—
592C22⋊C4×C79C2414yes—
593C22⋊C4×C79C2414yes—
594C42×C79C2412yes—
595C42×C79C2411yescharacteristic
596C42×C79C2411yescharacteristic
597C42×C79C2414yes—
598C42×C79C2414yes—
599C42×C79C2414yes—
600C23×C79C2514yes—
601C23×C79C2511yescharacteristic
602C22×D79—28no—
603C22×D79—28no—
604C22×D79—42no—
605C22×D79—44no—
606C22×D79—44no—
607C22×D79—48no—
608C22×D79—48no—
609C22×D79—48no—
610C22×D79—48no—
611C22×D79H(5,𝔽2)14yes—
612C22×D79C2514yes—
613C22×D79C2518yes—
614C22×D79C2512yes—
615Q8×C79—24no—
616Q8×C79—42no—
617Q8×C79—44no—
618Q8×C79—42no—
619Q8×C79—44no—
620D4×C79—28no—
621D4×C79—24no—
622D4×C79—44no—
623C2×C4×C79—22no—
624C2×C4×C79—28no—
625C2×C4×C79—24no—
626C2×C4×C79—28no—
627C2×C4×C79—48no—
628C2×C4×C79C2514yes—
629C2×C4×C79C2512yes—
630C2×C4×C79C2511yescharacteristic
631C2×C4×C79C2511yescharacteristic
632C2×C4×C79C2514yes—
633C2×C4×C79C2514yes—
634C2×C4×C79C2514yes—
635C2×C4×C79C2514yes—
636C2×C4×C79C2512yes—
637C22⋊D79—28no—
638C22⋊D79—28no—
639C22⋊D79—48no—
640C22⋊D79—44no—
641C22⋊D79—48no—
642C22⋊D79—48no—
643C2×Dic79—22no—
644C2×Dic79—42no—
645C2×Dic79—44no—
646C2×Dic79C2512yes—
647C2×Dic79C2512yes—
648C2×Dic79C2514yes—
649C2×Dic79C2512yes—
650C2×Dic79C2514yes—
651C2×Dic79C2514yes—
652D316—28no—
653D316—216no—
654D316—216no—
655D316—24no—
656D316—28no—
657D316—28no—
658D316—48no—
659D316—44no—
660D316—48no—
661D316—48no—
662D316—44no—
663D316—44no—
664D316—48no—
665C4×D79—24no—
666C4×D79—24no—
667C4×D79—28no—
668C4×D79—24no—
669C4×D79—24no—
670C4×D79—28no—
671C4×D79—42no—
672C4×D79—44no—
673C4×D79—44no—
674C4×D79—42no—
675C4×D79—48no—
676C4×D79—48no—
677C4×D79—48no—
678C4×D79—48no—
679C4×D79—44no—
680C4×D79—48no—
681C4×D79—48no—
682Dic158—24no—
683Dic158—44no—
684Dic158—44no—
685C22×C79—22no—
686C22×C79—24no—
687C22×C79—24no—
688C22×C79—24no—
689C22×C79C2×H(5,𝔽2)12yes—
690C22×C79C2611yescharacteristic
691C2×D79—22no—
692C2×D79—22no—
693C2×D79—24no—
694C2×D79—28no—
695C2×D79—28no—
696C2×D79—24no—
697C2×D79—24no—
698C2×D79—28no—
699C2×D79—44no—
700C2×D79—88no—
701C2×D79—88no—
702C2×D79—168no—
703C2×D79C2×H(5,𝔽2)14yes—
704C4×C79—24no—
705C4×C79—24no—
706C4×C79—21no—
707C4×C79—21no—
708C4×C79—24no—
709C4×C79—24no—
710C4×C79—22no—
711C4×C79—24no—
712C4×C79#58514yes—
713Dic79—24no—
714Dic79—22no—
715Dic79—24no—
716Dic79—22no—
717Dic79—24no—
718Dic79—22no—
719#62822—791nomaximal, Sylow
720C2×C79—22no—
721C2×C79—44no—
722C2×C79C22×H(5,𝔽2)11yescharacteristic
723C2×C79C2×#58512yes—
724D79—24no—
725D79—48no—
726D79—44no—
727#3560—798no—
728#3559—794no—
729#3558—794no—
730#3545—794no—
731#3544—791no—
732#3544D7911yescharacteristic, complemented
733#3543—792no—
734#3522—792no—
735#3522—792no—
736#3519—792no—
737#3519—792no—
738#3513—794no—
739#3513—794no—
740#3505—794no—
741#3496—794no—
742#3494—794no—
743#3494—794no—
744#3485—794no—
745C2×#532—791no—
746C2×#529—792no—
747C79#6282211yescharacteristic, complemented, Sylow
748C2×H(5,𝔽2)—794no—
749C22×#41—792no—
750#563—794no—
751#563—794no—
752#563C2×D7914yescomplemented
753#562—798no—
754H(3,𝔽4)—794no—
755#560—798no—
756#559—794no—
757#559—792no—
758#559—794no—
759Q82—791no—
760Q82C2×D7911yescharacteristic, complemented
761#555—794no—
762#555—791no—
763#555—794no—
764#555C2×D7911yescharacteristic, complemented
765#554—794no—
766#554—792no—
767#554—794no—
768#554C2×D7912yescomplemented
769#553—798no—
770#553—798no—
771#553—798no—
772#553—794no—
773#553—798no—
774#553—794no—
775#553—794no—
776#553—794no—
777#552—794no—
778#552C2×D7914yescomplemented
779#551—798no—
780#551—798no—
781#551—798no—
782#551—798no—
783#551—798no—
784#550—792no—
785#550—792no—
786#548—794no—
787#548—794no—
788#547—798no—
789#547—798no—
790#547—794no—
791#547—798no—
792#547—798no—
793#547—794no—
794#547—794no—
795#547C2×D7914yescomplemented
796#546—798no—
797#546—798no—
798#546—798no—
799#546—798no—
800#546—798no—
801#546—798no—
802#546—798no—
803#546—798no—
804#546—794no—
805#546—794no—
806#546—794no—
807#546—794no—
808D42—794no—
809D42—794no—
810D42—794no—
811D42—794no—
812D42—792no—
813#544—794no—
814#544C2×D7914yescomplemented
815#542—794no—
816#542—794no—
817#542—798no—
818#542—798no—
819#542—794no—
820#542C2×D7914yescomplemented
821#540—794no—
822#540—794no—
823#540—794no—
824#540—794no—
825#539—798no—
826#539—798no—
827#539—798no—
828#538—798no—
829#538—798no—
830#538—798no—
831#538—798no—
832#538—798no—
833#537—798no—
834#536—794no—
835#536C2×D7914yescomplemented
836#535—794no—
837#535—794no—
838#534—798no—
839#534—798no—
840#534—798no—
841#532—794no—
842#532—792no—
843#532—792no—
844#532—794no—
845#532—794no—
846#532—794no—
847#532—794no—
848C2×C4⋊Q8C2×D7911yescharacteristic, complemented
849C2×#127—791no—
850#529—794no—
851#529—792no—
852#529—794no—
853#529—792no—
854#529—794no—
855#529—792no—
856#529—792no—
857#529—792no—
858#529—794no—
859#529—794no—
860#529—792no—
861#529—794no—
862#529—792no—
863#529C2×D7912yescomplemented
864C2×#126—794no—
865C2×#125—792no—
866C2×#124—792no—
867C2×#124—792no—
868#525—794no—
869#525—794no—
870#525—794no—
871#525—794no—
872C2×#123—794no—
873C2×#123—798no—
874C2×C22⋊Q8—792no—
875C2×#121—792no—
876C2×#121—794no—
877C2×#121—794no—
878C2×#121—794no—
879#520—794no—
880#520—794no—
881#518—794no—
882#518—794no—
883#518—794no—
884C2×C4×Q8—792no—
885C2×C4×D4—794no—
886C2×C4×D4—792no—
887C2×C4×D4—794no—
888C2×#117—794no—
889C22×C42—791no—
890H(5,𝔽2)—31616no—
891C2×#41—3168no—
892C2×#41—794no—
893C2×#41—794no—
894C2×#41—798no—
895C2×#41—794no—
896C2×#41—798no—
897C2×#41—794no—
898C2×#41—794no—
899C2×#41—798no—
900C2×#41C22×D7914yes—
901C22×Q8—792no—
902C22×Q8C22×D7912yes—
903C22×D4—792no—
904C22×D4—794no—
905C22×D4—798no—
906C22×D4—798no—
907C22×D4—794no—
908C22×D4—794no—
909C22×D4—794no—
910C22×D4—798no—
911C22×D4—792no—
912C22×D4—794no—
913C23×C4—794no—
914C23×C4—792no—
915C23×C4—794no—
916C23×C4—791no—
917C4⋊Q8—794no—
918C4⋊Q8—794no—
919C4⋊Q8—794no—
920C4⋊Q8C22×D7914yes—
921C4⋊Q8C22×D7911yescharacteristic
922C4⋊Q8C22×D7911yescharacteristic
923C4⋊Q8C22×D7912yes—
924C4⋊Q8C22×D7914yes—
925C4⋊Q8C22×D7914yes—
926C4⋊Q8C22×D7914yes—
927#127—794no—
928#127—794no—
929#127—792no—
930#127—792no—
931#127—794no—
932#126—794no—
933#126—794no—
934#126—794no—
935#126—798no—
936#126—798no—
937#126—798no—
938#126—798no—
939#126—794no—
940#126—794no—
941#126—794no—
942#126—794no—
943#126—798no—
944#126C22×D7914yes—
945#126C22×D7918yes—
946#125—794no—
947#125—792no—
948#125—792no—
949#125—794no—
950#125—794no—
951#125—798no—
952#125—792no—
953#125C22×D7912yes—
954#125C22×D7914yes—
955#125C22×D7918yes—
956#124—792no—
957#124—794no—
958#124—794no—
959#124—794no—
960#124—794no—
961#124—794no—
962#124—798no—
963#124—794no—
964#124—794no—
965#124—792no—
966#124—794no—
967#124—794no—
968#124—798no—
969#124—798no—
970#124—792no—
971#124—794no—
972#124—798no—
973#124C22×D7912yes—
974#124C22×D7914yes—
975#124C22×D7914yes—
976#123—794no—
977#123—794no—
978#123—798no—
979#123—798no—
980#123—794no—
981#123—794no—
982#123—798no—
983#123—798no—
984#123—798no—
985#123—798no—
986#123—798no—
987#123—798no—
988#123—798no—
989#123—798no—
990#123—798no—
991#123—798no—
992#123—798no—
993#123—798no—
994#123—794no—
995#123—794no—
996#123—794no—
997#123—798no—
998#123—798no—
999#123—798no—
1000#123—798no—
1001#123C22×D7914yes—
1002#123C22×D7918yes—
1003#123C22×D7918yes—
1004C22⋊Q8—792no—
1005C22⋊Q8—798no—
1006C22⋊Q8—798no—
1007C22⋊Q8—798no—
1008C22⋊Q8—798no—
1009C22⋊Q8—792no—
1010C22⋊Q8—792no—
1011C22⋊Q8—794no—
1012C22⋊Q8—798no—
1013C22⋊Q8—794no—
1014C22⋊Q8—798no—
1015C22⋊Q8—798no—
1016C22⋊Q8—798no—
1017C22⋊Q8—798no—
1018C22⋊Q8—794no—
1019C22⋊Q8C22×D7912yes—
1020C22⋊Q8C22×D7914yes—
1021C22⋊Q8C22×D7918yes—
1022C22⋊Q8C22×D7918yes—
1023C22⋊Q8C22×D7918yes—
1024#121—792no—
1025#121—794no—
1026#121—798no—
1027#121—798no—
1028#121—792no—
1029#121—794no—
1030#121—794no—
1031#121—798no—
1032#121—792no—
1033#121—794no—
1034#121—794no—
1035#121—798no—
1036#121—794no—
1037#121—794no—
1038#121—798no—
1039#121—798no—
1040#121—798no—
1041#121—794no—
1042#121—794no—
1043#121—798no—
1044#121—794no—
1045#121—798no—
1046#121—798no—
1047#121—798no—
1048#121—798no—
1049#121—798no—
1050#121—794no—
1051#121—798no—
1052#121—798no—
1053#121—798no—
1054#121—798no—
1055#121—798no—
1056#121—798no—
1057#121—798no—
1058#121C22×D7912yes—
1059#121C22×D7914yes—
1060#120—798no—
1061#120—798no—
1062#120—798no—
1063#120—798no—
1064#120—798no—
1065#120—798no—
1066#120—798no—
1067#120—798no—
1068#120—798no—
1069#120—798no—
1070C4×Q8—792no—
1071C4×Q8—792no—
1072C4×Q8—794no—
1073C4×Q8—794no—
1074C4×Q8—792no—
1075C4×Q8—794no—
1076C4×Q8C22×D7912yes—
1077C4×Q8C22×D7914yes—
1078C4×D4—792no—
1079C4×D4—794no—
1080C4×D4—794no—
1081C4×D4—794no—
1082C4×D4—794no—
1083C4×D4—798no—
1084C4×D4—798no—
1085C4×D4—798no—
1086C4×D4—792no—
1087C4×D4—794no—
1088C4×D4—794no—
1089C4×D4—794no—
1090C4×D4—798no—
1091C4×D4—794no—
1092C4×D4—794no—
1093C4×D4—798no—
1094C4×D4—798no—
1095C4×D4—798no—
1096C4×D4—794no—
1097C4×D4—794no—
1098C4×D4—794no—
1099C4×D4—798no—
1100C4×D4—794no—
1101C4×D4—794no—
1102C4×D4—794no—
1103C4×D4—798no—
1104C4×D4—794no—
1105C4×D4—792no—
1106C4×D4—798no—
1107C4×D4—798no—
1108C4×D4—798no—
1109C4×D4—798no—
1110C4×D4—794no—
1111C4×D4—798no—
1112C4×D4—794no—
1113C4×D4C22×D7914yes—
1114C4×D4C22×D7912yes—
1115C4×D4C22×D7914yes—
1116#117—794no—
1117#117—794no—
1118#117—794no—
1119#117—794no—
1120#117—794no—
1121#117—798no—
1122#117—794no—
1123#117—794no—
1124#117—794no—
1125#117—794no—
1126#117—798no—
1127#117C22×D7914yes—
1128#117C22×D7914yes—
1129#117C22×D7914yes—
1130C2×C4⋊C4—794no—
1131C2×C4⋊C4—794no—
1132C2×C4⋊C4—792no—
1133C2×C4⋊C4—794no—
1134C2×C4⋊C4—792no—
1135C2×C4⋊C4—794no—
1136C2×C4⋊C4—794no—
1137C2×C4⋊C4—798no—
1138C2×C4⋊C4—798no—
1139C2×C4⋊C4C22×D7914yes—
1140C2×C4⋊C4C22×D7914yes—
1141C2×C22⋊C4—798no—
1142C2×C22⋊C4—798no—
1143C2×C22⋊C4—794no—
1144C2×C22⋊C4—794no—
1145C2×C22⋊C4—794no—
1146C2×C22⋊C4—794no—
1147C2×C22⋊C4—794no—
1148C2×C22⋊C4—798no—
1149C2×C22⋊C4—798no—
1150C2×C22⋊C4—798no—
1151C2×C22⋊C4—798no—
1152C2×C42—792no—
1153C2×C42—791no—
1154C2×C42—792no—
1155C2×C42—794no—
1156C2×C42—792no—
1157C2×C42—792no—
1158C2×C42—792no—
1159C2×C42C22×D7911yescharacteristic
1160C24—798no—
1161C24—791no—
1162C24—794no—
1163C24—794no—
1164#41—48no—
1165#41—3168no—
1166#41—3168no—
1167#41—31616no—
1168#41—3168no—
1169#41—3168no—
1170#41—31616no—
1171#41—3168no—
1172#41—31616no—
1173C2×Q8—44no—
1174C2×Q8—3164no—
1175C2×Q8—794no—
1176C2×Q8—794no—
1177C2×Q8—792no—
1178C2×Q8C23×D7912yes—
1179C2×Q8C23×D7914yes—
1180C2×Q8C23×D7912yes—
1181C2×Q8C23×D7914yes—
1182C2×Q8C23×D7912yes—
1183C2×D4—3164no—
1184C2×D4—3168no—
1185C2×D4—3168no—
1186C2×D4—31616no—
1187C2×D4—31616no—
1188C2×D4—31616no—
1189C2×D4—3164no—
1190C2×D4—3168no—
1191C2×D4—798no—
1192C2×D4—794no—
1193C2×D4—798no—
1194C2×D4—798no—
1195C2×D4—794no—
1196C2×D4—794no—
1197C2×D4—798no—
1198C2×D4—798no—
1199C2×D4—798no—
1200C2×D4—794no—
1201C2×D4—794no—
1202C2×D4—794no—
1203C2×D4—798no—
1204C2×D4—792no—
1205C2×D4—794no—
1206C2×D4—794no—
1207C2×D4—798no—
1208C2×D4—798no—
1209C2×D4—794no—
1210C2×D4—15816no—
1211C2×D4—15816no—
1212C2×D4C23×D7912yes—
1213C2×D4C23×D7914yes—
1214C2×D4C23×D7914yes—
1215C22×C4—3168no—
1216C22×C4—3164no—
1217C22×C4—3168no—
1218C22×C4—792no—
1219C22×C4—794no—
1220C22×C4—792no—
1221C22×C4—792no—
1222C22×C4—794no—
1223C22×C4—794no—
1224C22×C4—798no—
1225C22×C4—798no—
1226C22×C4—794no—
1227C22×C4—798no—
1228C22×C4—798no—
1229C22×C4—798no—
1230C22×C4—798no—
1231C22×C4—791no—
1232C22×C4—792no—
1233C22×C4—792no—
1234C22×C4—792no—
1235C22×C4—792no—
1236C22×C4—794no—
1237C22×C4—794no—
1238C22×C4—1584no—
1239C22×C4C23×D7912yes—
1240C22×C4C23×D7911yescharacteristic
1241C22×C4C23×D7914yes—
1242C22×C4C23×D7914yes—
1243C22×C4C23×D7918yes—
1244C4⋊C4—794no—
1245C4⋊C4—794no—
1246C4⋊C4—798no—
1247C4⋊C4—794no—
1248C4⋊C4—794no—
1249C4⋊C4—794no—
1250C4⋊C4—794no—
1251C4⋊C4—794no—
1252C4⋊C4—794no—
1253C4⋊C4—798no—
1254C4⋊C4—794no—
1255C4⋊C4—794no—
1256C4⋊C4—794no—
1257C4⋊C4—792no—
1258C4⋊C4—794no—
1259C4⋊C4—794no—
1260C4⋊C4—792no—
1261C4⋊C4—794no—
1262C4⋊C4—798no—
1263C4⋊C4C23×D7912yes—
1264C4⋊C4C23×D7918yes—
1265C4⋊C4C23×D7914yes—
1266C4⋊C4C23×D7914yes—
1267C4⋊C4C23×D7914yes—
1268C4⋊C4C23×D7912yes—
1269C4⋊C4C23×D7914yes—
1270C4⋊C4C23×D7918yes—
1271C4⋊C4C23×D7914yes—
1272C4⋊C4C23×D7914yes—
1273C4⋊C4C23×D7918yes—
1274C4⋊C4C23×D7918yes—
1275C22⋊C4—794no—
1276C22⋊C4—794no—
1277C22⋊C4—794no—
1278C22⋊C4—794no—
1279C22⋊C4—794no—
1280C22⋊C4—794no—
1281C22⋊C4—794no—
1282C22⋊C4—794no—
1283C22⋊C4—798no—
1284C22⋊C4—798no—
1285C22⋊C4—798no—
1286C22⋊C4—794no—
1287C22⋊C4—794no—
1288C22⋊C4—794no—
1289C22⋊C4—794no—
1290C22⋊C4—794no—
1291C22⋊C4—794no—
1292C22⋊C4—798no—
1293C22⋊C4—794no—
1294C22⋊C4—798no—
1295C22⋊C4—798no—
1296C22⋊C4—798no—
1297C22⋊C4—798no—
1298C22⋊C4—798no—
1299C22⋊C4—798no—
1300C22⋊C4—798no—
1301C22⋊C4—798no—
1302C22⋊C4C23×D7914yes—
1303C22⋊C4C23×D7918yes—
1304C22⋊C4C23×D7914yes—
1305C22⋊C4C23×D7914yes—
1306C22⋊C4C23×D7914yes—
1307C22⋊C4C23×D7914yes—
1308C22⋊C4C23×D7918yes—
1309C42—791no—
1310C42—792no—
1311C42—792no—
1312C42—792no—
1313C42—792no—
1314C42—792no—
1315C42—791no—
1316C42—794no—
1317C42—794no—
1318C42—794no—
1319C42—794no—
1320C42—794no—
1321C42C23×D7912yes—
1322C42C23×D7911yescharacteristic
1323C42C23×D7911yescharacteristic
1324C42C23×D7914yes—
1325C42C23×D7914yes—
1326C42C23×D7914yes—
1327C23—3162no—
1328C23—3164no—
1329C23—3168no—
1330C23—3164no—
1331C23—3168no—
1332C23—3168no—
1333C23—3168no—
1334C23—794no—
1335C23—792no—
1336C23—794no—
1337C23—798no—
1338C23—1588no—
1339C23—1588no—
1340C23C24×D7914yes—
1341C23C24×D7911yescharacteristic
1342Q8—24no—
1343Q8—42no—
1344Q8—44no—
1345Q8—42no—
1346Q8—44no—
1347Q8—3164no—
1348Q8—3164no—
1349Q8—1584no—
1350D4—28no—
1351D4—24no—
1352D4—44no—
1353D4—3164no—
1354D4—3168no—
1355D4—3164no—
1356D4—3164no—
1357D4—3168no—
1358D4—3168no—
1359D4—3168no—
1360D4—3168no—
1361D4—3168no—
1362D4—3164no—
1363D4—3168no—
1364D4—1588no—
1365D4—15816no—
1366D4—15816no—
1367D4—1588no—
1368D4—1588no—
1369D4—1584no—
1370D4—1588no—
1371D4—1588no—
1372C2×C4—28no—
1373C2×C4—22no—
1374C2×C4—24no—
1375C2×C4—28no—
1376C2×C4—48no—
1377C2×C4—3168no—
1378C2×C4—3168no—
1379C2×C4—3164no—
1380C2×C4—3164no—
1381C2×C4—3162no—
1382C2×C4—3162no—
1383C2×C4—3168no—
1384C2×C4—3168no—
1385C2×C4—3164no—
1386C2×C4—3168no—
1387C2×C4—3168no—
1388C2×C4—3164no—
1389C2×C4—3162no—
1390C2×C4—792no—
1391C2×C4—794no—
1392C2×C4—792no—
1393C2×C4—792no—
1394C2×C4—794no—
1395C2×C4—794no—
1396C2×C4—1584no—
1397C2×C4—1584no—
1398C2×C4—1588no—
1399C2×C4—1582no—
1400C2×C4—1584no—
1401C2×C4—1584no—
1402C2×C4—1588no—
1403C2×C4C24×D7912yes—
1404C2×C4C24×D7911yescharacteristic
1405C2×C4C24×D7911yescharacteristic
1406C2×C4C24×D7914yes—
1407C2×C4C24×D7914yes—
1408C2×C4C24×D7914yes—
1409C2×C4C24×D7914yes—
1410C2×C4C24×D7914yes—
1411C2×C4C24×D7912yes—
1412C22—22no—
1413C22—24no—
1414C22—24no—
1415C22—24no—
1416C22—3164no—
1417C22—794no—
1418C22—6328no—
1419C22—6328no—
1420C22—1588no—
1421C22—1584no—
1422C22—1584no—
1423C22—1588no—
1424C22—1588no—
1425C22—1584no—
1426C22—1582no—
1427C22—1582no—
1428C22—12648no—
1429C22H(5,𝔽2)×D7912yes—
1430C22C25×D7911yescharacteristic
1431C4—24no—
1432C4—24no—
1433C4—21no—
1434C4—21no—
1435C4—24no—
1436C4—24no—
1437C4—22no—
1438C4—24no—
1439C4—1582no—
1440C4—1584no—
1441C4—1582no—
1442C4—1584no—
1443C4—1584no—
1444C4—1582no—
1445C4#1909940014yes—
1446C2—22no—
1447C2—44no—
1448C2—3164no—
1449C2—3168no—
1450C2—1584no—
1451C2C2×H(5,𝔽2)×D7911yescharacteristic
1452C2C2×#1909940012yes—
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3544C2
hypercenter#3544D79
hypocenterC79#62822
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3544

Complements

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

NH ≅ G/Ntype
1. #23777943C2semidirect
2. #23777933C2semidirect
3. #23777915C2semidirect
4. #23777754C2semidirect
5. #23777744C2semidirect
6. #23777730C2semidirect
7. #23777486C2semidirect
8. #23777484C2semidirect
9. #23777435C2semidirect
10. #23777433C2semidirect
11. #23777345C2semidirect
12. #23777335C2semidirect
13. #23777240C2semidirect
14. #23777158C2semidirect
15. #23777138C2semidirect
16. #23777133C2semidirect
17. #23777043C2semidirect
18. C2×#19099114C2semidirect
19. #529×D79C2semidirect
20. C79×#3544C2semidirect
21. C2×#14579207C22semidirect
22. C22×#11929625C22semidirect
23. #19099312C22semidirect
24. #19099312C22semidirect
25. #19099309C22semidirect
26. #19099305C22semidirect
27. #19099304C22semidirect
28. #19099298C22semidirect
29. #19099298C22semidirect
30. #19099296C22semidirect
31. #19099293C22semidirect
32. #19099279C22semidirect
33. #19099279C22semidirect
34. #19099275C22semidirect
35. #19099274C22semidirect
36. #19099274C22semidirect
37. #19099269C22semidirect
38. #19099266C22semidirect
39. #19099266C22semidirect
40. #19099266C22semidirect
41. #19099264C22semidirect
42. #19099261C22semidirect
43. #19099258C22semidirect
44. #19099257C22semidirect
45. #19099257C22semidirect
46. #19099248C22semidirect
47. #19099240C22semidirect
48. #19099240C22semidirect
49. #19099238C22semidirect
50. #19099237C22semidirect
51. #19099236C22semidirect
52. #19099235C22semidirect
53. #19099234C22semidirect
54. #19099225C22semidirect
55. #19099223C22semidirect
56. #19099216C22semidirect
57. #19099216C22semidirect
58. #19099216C22semidirect
59. #19099215C22semidirect
60. #19099215C22semidirect
61. #19099214C22semidirect
62. #19099214C22semidirect
63. #19099210C22semidirect
64. #19099209C22semidirect
65. #19099206C22semidirect
66. #19099206C22semidirect
67. #19099205C22semidirect
68. #19099205C22semidirect
69. #19099204C22semidirect
70. #19099204C22semidirect
71. #19099204C22semidirect
72. #19099204C22semidirect
73. #19099204C22semidirect
74. #19099201C22semidirect
75. D4×D316C22semidirect
76. D4×D316C22semidirect
77. D4×D316C22semidirect
78. #19099197C22semidirect
79. #19099197C22semidirect
80. #19099190C22semidirect
81. #19099187C22semidirect
82. #19099187C22semidirect
83. #19099187C22semidirect
84. #19099186C22semidirect
85. #19099183C22semidirect
86. #19099169C22semidirect
87. #19099169C22semidirect
88. #19099168C22semidirect
89. #19099166C22semidirect
90. #19099161C22semidirect
91. #19099161C22semidirect
92. #19099159C22semidirect
93. #19099153C22semidirect
94. #19099152C22semidirect
95. #19099152C22semidirect
96. #19099149C22semidirect
97. #19099147C22semidirect
98. #19099143C22semidirect
99. #19099137C22semidirect
100. #19099132C22semidirect
101. #19099131C22semidirect
102. #19099124C22semidirect
103. #19099124C22semidirect
104. #19099124C22semidirect
105. #19099114C22semidirect
106. #19099114C22semidirect
107. #19099114C22semidirect
108. #19099114C22semidirect
109. #19099114C22semidirect
110. #19099114C22semidirect
111. #19099110C22semidirect
112. C2×#14579158C22semidirect
113. #19099100C22semidirect
114. #19099100C22semidirect
115. #19099099C22semidirect
116. #19099098C22semidirect
117. #19099098C22semidirect
118. #19099097C22semidirect
119. #19099096C22semidirect
120. #19099095C22semidirect
121. #19099094C22semidirect
122. #19099093C22semidirect
123. #19099092C22semidirect
124. #19099091C22semidirect
125. #19099090C22semidirect
126. #126×D79C22semidirect
127. #125×D79C22semidirect
128. C2×#14579150C22semidirect
129. #124×D79C22semidirect
130. #19099076C22semidirect
131. #19099075C22semidirect
132. #19099075C22semidirect
133. #19099070C22semidirect
134. #123×D79C22semidirect
135. #123×D79C22semidirect
136. C22⋊Q8×D79C22semidirect
137. C2×#14579136C22semidirect
138. C2×#14579136C22semidirect
140. #121×D79C22semidirect
141. #19099045C22semidirect
142. #19099044C22semidirect
143. #19099037C22semidirect
144. #19099037C22semidirect
145. #19099035C22semidirect
146. C4×Q8×D79C22semidirect
147. C2×#14579123C22semidirect
148. C4×D4×D79C22semidirect
149. C4×D4×D79C22semidirect
150. #117×D79C22semidirect
151. C2×C42×D79C22semidirect
152. #563×C79C22semidirect
153. Q82×C79C22semidirect
154. #555×C79C22semidirect
155. #554×C79C22semidirect
156. #552×C79C22semidirect
157. #547×C79C22semidirect
158. #544×C79C22semidirect
159. #542×C79C22semidirect
160. #536×C79C22semidirect
161. C2×C4⋊Q8×C79C22semidirect
162. #529×C79C22semidirect
732. #3544D79semidirect
747. C79#62822semidirect
752. #563C2×D79semidirect
760. Q82C2×D79semidirect
764. #555C2×D79semidirect
768. #554C2×D79semidirect
778. #552C2×D79semidirect
795. #547C2×D79semidirect
814. #544C2×D79semidirect
820. #542C2×D79semidirect
835. #536C2×D79semidirect
848. C2×C4⋊Q8C2×D79semidirect
863. #529C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779432
#237779332
#237779152
#237777542
#237777442
#237777302
#237774862
#237774842
#237774352
#237774332
#237773452
#237773352
#237772402
#237771582
#237771382
#237771332
#237770432
C2×#190991142
#529×D792
C79×#35442
#6282279