Finite Group Databasebeta

← #35197192

Subgroups — #35197192

Order 20224.

7148 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777968C214yesmaximal, complemented
2#23777937C214yesmaximal, complemented
3#23777869C214yesmaximal, complemented
4#23777811C211yesmaximal, characteristic, complemented
5#23777800C211yesmaximal, characteristic, complemented
6#23777798C211yesmaximal, characteristic, complemented
7#23777787C214yesmaximal, complemented
8#23777625C214yesmaximal, complemented
9#23777486C212yesmaximal, complemented
10#23777482C212yesmaximal, complemented
11#23777450C212yesmaximal, complemented
12#23777448C212yesmaximal, complemented
13#23777305C214yesmaximal, complemented
14#23777304C212yesmaximal, complemented
15#23777273C212yesmaximal, complemented
16#23777255C212yesmaximal, complemented
17#23777253C212yesmaximal, complemented
18#23777218C212yesmaximal, complemented
19#23777195C212yesmaximal, complemented
20#23777184C212yesmaximal, complemented
21#23777170C212yesmaximal, complemented
22#23777133C214yesmaximal, complemented
23#23777078C214yesmaximal, complemented
24#23776697C211yesmaximal, characteristic, complemented
25#533×D79C211yesmaximal, characteristic, complemented
26#532×D79C211yesmaximal, characteristic, complemented
27C79×#3550C211yesmaximal, characteristic, complemented
28C2×#14579209C2214yescomplemented
29C2×#41×D79C2212yes—
30#19099317C2214yescomplemented
31#19099311C2214yescomplemented
32#19099310C2218yescomplemented
33#19099307C2214yescomplemented
34#19099307C2218yescomplemented
35#19099298C2212yescomplemented
36#19099298C2214yescomplemented
37#19099295C2214yescomplemented
38#19099295C2214yescomplemented
39Q8×Dic158C2212yescomplemented
40#19099289C2214yescomplemented
41#19099287C2212yescomplemented
42#19099286C2212yescomplemented
43#19099280C2218yescomplemented
44#19099276C2214yescomplemented
45#19099275C2218yescomplemented
46#19099274C2214yes—
47#19099274C2212yescomplemented
48#19099274C2214yescomplemented
49#19099273C2214yes—
50#19099273C2212yescomplemented
51#19099273C2212yescomplemented
52#19099272C2214yescomplemented
53#19099271C2214yescomplemented
54#19099270C2212yescomplemented
55#19099267C2218yescomplemented
56#19099264C2218yescomplemented
57#19099264C2218yescomplemented
58#19099258C2218yescomplemented
59#19099255C2214yescomplemented
60#19099252C2214yescomplemented
61#19099240C2218yes—
62#19099238C2218yes—
63#19099235C2212yescomplemented
64#19099235C2212yescomplemented
65#19099234C2212yescomplemented
66#19099234C2214yescomplemented
67#19099233C2212yescomplemented
68Q8×D316C2212yescomplemented
69#19099228C2218yes—
70#19099228C2212yescomplemented
71#19099228C2214yescomplemented
72Q8×C22⋊D79C2214yescomplemented
73#19099225C2214yescomplemented
74#19099224C2214yescomplemented
75#19099223C2218yescomplemented
76#19099223C2214yescomplemented
77#19099221C2214yescomplemented
78#19099221C2218yescomplemented
79#19099218C2212yescomplemented
80#19099218C2214yescomplemented
81#19099217C2212yescomplemented
82#19099216C2212yescomplemented
83#19099216C2212yescomplemented
84#19099216C2218yescomplemented
85#19099216C2214yescomplemented
86#19099215C2218yescomplemented
87#19099215C2214yescomplemented
88#19099211C2218yescomplemented
89#19099211C2218yescomplemented
90#19099208C2214yes—
91#19099206C2218yes—
92#19099206C2214yes—
93#19099205C2218yes—
94#19099205C2218yes—
95#19099190C2214yes—
96#19099190C2218yescomplemented
97#19099188C2218yes—
98#19099187C2214yescomplemented
99#19099187C2218yescomplemented
100#19099186C2214yescomplemented
101#19099184C2214yescomplemented
102#19099182C2214yescomplemented
103#19099181C2218yescomplemented
104#19099179C2218yescomplemented
105#19099168C2214yescomplemented
106#19099166C2214yescomplemented
107#19099165C2218yescomplemented
108#19099162C2218yescomplemented
109#19099154C2218yescomplemented
110#19099154C2218yescomplemented
111#19099152C2218yes—
112#19099143C2214yescomplemented
113#19099143C2214yescomplemented
114#19099143C2214yescomplemented
115#19099143C2218yescomplemented
116#19099142C2214yescomplemented
117#19099141C2214yescomplemented
118#19099136C2214yescomplemented
119#19099136C2214yescomplemented
120#19099136C2218yescomplemented
121#19099131C2214yes—
122#19099120C2211yescharacteristic, complemented
123#19099119C2212yes—
124#19099118C2211yescharacteristic
125#19099118C2211yescharacteristic
126#19099118C2211yescharacteristic
127#19099118C2211yescharacteristic, complemented
128#19099117C2212yes—
129#19099117C2212yes—
130#19099117C2214yescomplemented
131#19099116C2212yescomplemented
132#19099115C2212yescomplemented
133#19099115C2212yescomplemented
134#19099114C2211yescharacteristic
135#19099114C2211yescharacteristic
136#19099114C2214yescomplemented
137#19099114C2211yescharacteristic, complemented
138#19099113C2211yescharacteristic
139#19099113C2211yescharacteristic, complemented
140#19099112C2212yes—
141#19099112C2214yescomplemented
142#19099111C2211yescharacteristic
143#19099110C2212yes—
144#19099110C2212yes—
145#19099110C2214yescomplemented
146#19099110C2214yescomplemented
147#19099109C2212yes—
148#19099108C2212yes—
149#19099108C2212yes—
150C4⋊Q8×D79C2211yescharacteristic
151C4⋊Q8×D79C2211yescharacteristic, complemented
152C4⋊Q8×D79C2214yescomplemented
153C4⋊Q8×D79C2211yescharacteristic, complemented
154#127×D79C2211yescharacteristic
155#19099100C2212yes—
156#19099100C2214yescomplemented
157#19099100C2212yescomplemented
158#19099099C2212yescomplemented
159#19099099C2212yescomplemented
160#19099098C2212yes—
161#19099098C2212yescomplemented
162#19099092C2214yescomplemented
163#125×D79C2212yescomplemented
164#124×D79C2212yes—
165#19099076C2212yes—
166#19099076C2214yes—
167#19099076C2212yes—
168#19099075C2214yes—
169#19099075C2212yes—
170C2×#14579137C2214yes—
171C22⋊Q8×D79C2212yes—
172C22⋊Q8×D79C2214yes—
173C22⋊Q8×D79C2212yes—
174#121×D79C2212yes—
175#121×D79C2212yes—
176#19099045C2214yes—
177#19099045C2214yescomplemented
178#19099043C2214yescomplemented
179#19099042C2214yescomplemented
180#19099035C2214yes—
181C4×#11929625C2212yes—
182C4×#11929625C2212yescomplemented
183#19099031C2212yescomplemented
184C4×Q8×D79C2212yescomplemented
185C4×Q8×D79C2212yescomplemented
186C4×D4×D79C2212yes—
187C4×D4×D79C2212yes—
188#117×D79C2212yes—
189C2×C42×D79C2211yescharacteristic
190#563×C79C2214yescomplemented
191#559×C79C2212yescomplemented
192Q82×C79C2212yescomplemented
193#556×C79C2212yescomplemented
194#556×C79C2212yescomplemented
195D4×Q8×C79C2212yescomplemented
196D4×Q8×C79C2212yescomplemented
197#542×C79C2214yescomplemented
198#542×C79C2214yescomplemented
199#536×C79C2214yescomplemented
200#533×C79C2211yescharacteristic, complemented
201#533×C79C2211yescharacteristic, complemented
202#532×C79C2211yescharacteristic
203#14579209—416no—
204C2×#11929625C2312yes—
205C2×#11929625C2312yes—
206C2×#11929625C2318yes—
207C2×#11929625C2314yes—
208C2×#11929625C2314yes—
209C2×#11929625C2312yes—
210C2×#11929624C2314yes—
211C2×#11929624C2312yes—
212C2×#11929624C2318yes—
213C2×#11929624C2314yes—
214C2×#11929624C2318yes—
215C2×#11929624C2312yes—
216C2×#11929623C2314yes—
217C2×#11929623C2312yes—
218C2×#11929623C2314yes—
219#41×D79—48no—
220C2×Q8×D79C2312yes—
221C2×Q8×D79C2318yes—
222C2×Q8×D79C2314yes—
223C2×Q8×D79C2312yes—
224C2×Q8×D79C2312yes—
225C2×D4×D79C2312yes—
226C2×D4×D79C2312yes—
227C2×D4×D79C2314yes—
228C2×D4×D79C2312yes—
229C22×C4×D79C2311yescharacteristic
230C22×C4×D79C2311yescharacteristic
231C22×C4×D79C2311yescharacteristic
232C22×C4×D79C2314yes—
233#14579161C2314yes—
234#14579161C2311yescharacteristic
235#14579161C2311yescharacteristic
236#14579161C2311yescharacteristic
237#14579161C2311yescharacteristic
238#14579160C2312yes—
239#14579160C2318yes—
240#14579160C2318yes—
241#14579160C2312yes—
242#14579160C2314yes—
243#14579160C2312yes—
244#14579160C2312yes—
245#14579160C2312yes—
246#14579160C2312yes—
247#14579159C2318yes—
248#14579159C2312yes—
249#14579159C2312yes—
250#14579159C2312yes—
251#14579158C2314yes—
252#14579158C2311yescharacteristic
253#14579158C2311yescharacteristic
254#14579157C2312yes—
255#14579157C2314yes—
256#14579157C2312yes—
257#14579157C2312yes—
258#14579156C2318yes—
259#14579156C2314yes—
260#14579156C2318yes—
261#14579156C2314yes—
262#14579156C2318yes—
263#14579154C2318yes—
264#14579153C2318yes—
265#14579153C2314yes—
266#14579153C2312yes—
267#14579152C2312yes—
268#14579152C2318yes—
269#14579152C2312yes—
270#14579152C2314yes—
271#14579152C2312yes—
272#14579152C2312yes—
273#14579151C2314yes—
274#14579151C2318yes—
275#14579151C2314yes—
276#14579150C2314yes—
277#14579150C2312yes—
278#14579150C2318yes—
279#14579150C2312yes—
280#14579150C2312yes—
281#14579149C2318yes—
282#14579149C2314yes—
283#14579149C2312yes—
284#14579149C2312yes—
285#14579148C2312yes—
286#14579147C2314yes—
287#14579147C2318yes—
288#14579147C2318yes—
289#14579147C2318yes—
290#14579147C2318yes—
291#14579147C2314yes—
292#14579146C2318yes—
293#14579146C2318yes—
294#14579146C2318yes—
295#14579146C2318yes—
296#14579146C2318yes—
297#14579146C2318yes—
298#14579146C2314yes—
299#14579146C2314yes—
300#14579145C2318yes—
301#14579145C2318yes—
302#14579145C2318yes—
303#14579145C2314yes—
304#14579143C2318yes—
305#14579143C2318yes—
306#14579143C2318yes—
307#14579143C2318yes—
308#14579143C2318yes—
309#14579141C2314yes—
310#14579141C2318yes—
311#14579141C2314yes—
312#14579141C2312yes—
313#14579141C2318yes—
314#14579141C2312yes—
315#14579141C2312yes—
316#14579141C2312yes—
317#14579140C2312yes—
318#14579140C2314yes—
319#14579140C2318yes—
320#14579140C2312yes—
321#14579139C2318yes—
322#14579139C2318yes—
323#14579139C2318yes—
324#14579139C2318yes—
325#14579139C2318yes—
326#14579139C2314yes—
327#14579139C2318yes—
328#14579139C2314yes—
329#14579138C2318yes—
330#14579138C2318yes—
331#14579138C2318yes—
332#14579138C2314yes—
333#14579138C2314yes—
334#14579137C2314yes—
335#14579137C2314yes—
336#14579137C2318yes—
337#14579137C2318yes—
338#14579137C2318yes—
339#14579137C2314yes—
340#14579137C2318yes—
341#14579137C2318yes—
342#14579137C2312yes—
343#14579137C2312yes—
344#14579137C2312yes—
345#14579137C2312yes—
346#14579136C2312yes—
347#14579136C2318yes—
348#14579136C2318yes—
349#14579136C2314yes—
350#14579136C2318yes—
351#14579136C2314yes—
352#14579136C2312yes—
353#14579136C2312yes—
354#14579136C2312yes—
355#14579136C2312yes—
356#14579136C2312yes—
357#14579135C2312yes—
358#14579135C2314yes—
359#14579135C2312yes—
360#14579135C2318yes—
361#14579135C2312yes—
362#14579135C2312yes—
363#14579134C2318yes—
364#14579134C2314yes—
365#14579134C2318yes—
366#14579134C2318yes—
367#14579134C2318yes—
368#14579134C2318yes—
369#14579134C2318yes—
370#14579134C2318yes—
371#14579134C2318yes—
372#14579134C2314yes—
373#14579133C2318yes—
374#14579133C2318yes—
375#14579133C2314yes—
376#14579133C2314yes—
377#14579132C2318yes—
378#14579132C2314yes—
379#14579132C2312yes—
380#14579132C2312yes—
381#14579131C2318yes—
382#14579131C2318yes—
383#14579131C2314yes—
384Q8×Dic79C2312yes—
385Q8×Dic79C2314yes—
386Q8×Dic79C2312yes—
387Q8×Dic79C2312yes—
388Q8×Dic79C2312yes—
389C4×Dic158C2318yes—
390C4×Dic158C2314yes—
391C4×Dic158C2312yes—
392C4×Dic158C2314yes—
393C4×Dic158C2312yes—
394C4×Dic158C2314yes—
395#14579126C2314yes—
396#14579126C2312yes—
397#14579126C2312yes—
398#14579126C2314yes—
399#14579126C2312yes—
400#14579126C2312yes—
401C4×D316C2318yes—
402C4×D316C2318yes—
403C4×D316C2318yes—
404C4×D316C2314yes—
405C4×D316C2314yes—
406C4×D316C2314yes—
407C4×D316C2314yes—
408C4×D316C2312yes—
409C4×D316C2312yes—
410C4×D316C2314yes—
411C4×D316C2312yes—
412C4×D316C2312yes—
413D4×Dic79C2314yes—
414D4×Dic79C2312yes—
415D4×Dic79C2312yes—
416#14579123C2318yes—
417#14579123C2314yes—
418#14579123C2314yes—
419#14579123C2312yes—
420#14579123C2318yes—
421#14579123C2314yes—
422#14579123C2314yes—
423#14579123C2312yes—
424#14579123C2312yes—
425#14579123C2312yes—
426#14579123C2312yes—
427#14579123C2312yes—
428C4×C22⋊D79C2318yes—
429C4×C22⋊D79C2318yes—
430C4×C22⋊D79C2314yes—
431C4×C22⋊D79C2314yes—
432(C22⋊D79)⋊C4C2314yes—
433(C22⋊D79)⋊C4C2318yes—
434(C22⋊D79)⋊C4C2318yes—
435(C22⋊D79)⋊C4C2318yes—
436(C22⋊D79)⋊C4C2318yes—
437(C22⋊D79)⋊C4C2314yes—
438(C22⋊D79)⋊C4C2314yes—
439(C22⋊D79)⋊C4C2314yes—
440#14579120C2312yes—
441#14579119C2314yes—
442#14579119C2312yes—
443#14579119C2314yes—
444#14579119C2314yes—
445#14579119C2312yes—
446#14579119C2312yes—
447#14579119C2312yes—
448#14579118C2314yes—
449#14579118C2318yes—
450#14579118C2314yes—
451#14579118C2318yes—
452#14579117C2318yes—
453#14579117C2314yes—
454C2×C4⋊Dic79C2314yes—
455C2×Dic79⋊C4C2318yes—
456C4⋊C4×D79C2314yes—
457C4⋊C4×D79C2314yes—
458C4⋊C4×D79C2312yes—
459C4⋊C4×D79C2314yes—
460C4⋊C4×D79C2314yes—
461C4⋊C4×D79C2318yes—
462C4⋊C4×D79C2312yes—
463C4⋊C4×D79C2318yes—
464C4⋊C4×D79C2314yes—
465C4⋊C4×D79C2312yes—
466C4⋊C4×D79C2312yes—
467C4⋊C4×D79C2312yes—
468C4⋊C4×D79C2312yes—
469C2×(C2×D79)⋊C4C2318yes—
470C22⋊C4×D79C2314yes—
471C22⋊C4×D79C2318yes—
472C22⋊C4×D79C2314yes—
473C22⋊C4×D79C2314yes—
474C2×C4×Dic79C2311yescharacteristic
475C2×C4×Dic79C2311yescharacteristic
476C2×C4×Dic79C2311yescharacteristic
477C42×D79C2311yescharacteristic
478C42×D79C2311yescharacteristic
479C42×D79C2311yescharacteristic
480C42×D79C2311yescharacteristic
481C42×D79C2311yescharacteristic
482C42×D79C2311yescharacteristic
483C42×D79C2311yescharacteristic
484C42×D79C2311yescharacteristic
485C42×D79C2314yes—
486C42×D79C2314yes—
487C2×#41×C79C2312yes—
488C22×Q8×C79C2314yes—
489C4⋊Q8×C79C2318yes—
490C4⋊Q8×C79C2314yes—
491C4⋊Q8×C79C2314yes—
492C4⋊Q8×C79C2311yescharacteristic
493C4⋊Q8×C79C2311yescharacteristic
494C4⋊Q8×C79C2311yescharacteristic
495C4⋊Q8×C79C2311yescharacteristic
496C4⋊Q8×C79C2311yescharacteristic
497#127×C79C2311yescharacteristic
498#126×C79C2318yes—
499#126×C79C2318yes—
500#125×C79C2312yes—
501#125×C79C2312yes—
502#124×C79C2314yes—
503#124×C79C2318yes—
504#124×C79C2312yes—
505#124×C79C2314yes—
506#123×C79C2318yes—
507#123×C79C2318yes—
508C22⋊Q8×C79C2312yes—
509C22⋊Q8×C79C2318yes—
510C22⋊Q8×C79C2314yes—
511C22⋊Q8×C79C2312yes—
512C22⋊Q8×C79C2312yes—
513C22⋊Q8×C79C2318yes—
514C22⋊Q8×C79C2314yes—
515C22⋊Q8×C79C2312yes—
516#121×C79C2312yes—
517#121×C79C2312yes—
518C4×Q8×C79C2314yes—
519C4×Q8×C79C2312yes—
520C4×Q8×C79C2312yes—
521C4×Q8×C79C2312yes—
522C4×Q8×C79C2312yes—
523C4×Q8×C79C2314yes—
524C4×D4×C79C2314yes—
525C4×D4×C79C2312yes—
526C4×D4×C79C2312yes—
527C4×D4×C79C2314yes—
528#117×C79C2312yes—
529#117×C79C2312yes—
530#117×C79C2314yes—
531C2×C42×C79C2311yescharacteristic
532C23×D79C2411yescharacteristic
533C23×D79C2414yes—
534#11929625—28no—
535#11929625—28no—
536#11929625—48no—
537#11929625—48no—
538#11929625—44no—
539#11929625—416no—
540#11929624—216no—
541#11929624—416no—
542#11929624—416no—
543#11929624—48no—
544#11929624—44no—
545#11929624—44no—
546#11929623—44no—
547#11929623—48no—
548#11929623—48no—
549C2×Dic158C2414yes—
550C2×Dic158C2414yes—
551C2×Dic158C2412yes—
552C2×Dic158C2412yes—
553C2×Dic158C2418yes—
554C2×Dic158C2412yes—
555C2×Dic158C2414yes—
556C2×Dic158C2412yes—
557Q8×D79—28no—
558Q8×D79—44no—
559Q8×D79—48no—
560Q8×D79—44no—
561Q8×D79—416no—
562C2×D316C2414yes—
563C2×D316C2412yes—
564C2×D316C2414yes—
565C2×D316C2412yes—
566C2×D316C2414yes—
567C2×D316C2412yes—
568C2×D316C2412yes—
569C2×D316C2418yes—
570C2×D316C2412yes—
571C2×D316C2412yes—
572C2×D316C2418yes—
573C2×C22⋊D79C2414yes—
574C2×C22⋊D79C2414yes—
575C2×C22⋊D79C2414yes—
576C2×C22⋊D79C2414yes—
577C2×C22⋊D79C2418yes—
578C2×C22⋊D79C2418yes—
579C2×C22⋊D79C2414yes—
580C2×C22⋊D79C2414yes—
581D4×D79—28no—
582D4×D79—44no—
583D4×D79—48no—
584D4×D79—44no—
585C22×Dic79C2411yescharacteristic
586C22×Dic79C2411yescharacteristic
587C22×Dic79C2414yes—
588C22×Dic79C2418yes—
589C22×Dic79C2411yescharacteristic
590C2×C4×D79—24no—
591C2×C4×D79—24no—
592C2×C4×D79—48no—
593C2×C4×D79—42no—
594C2×C4×D79C2414yes—
595C2×C4×D79C2411yescharacteristic
596C2×C4×D79C2411yescharacteristic
597C2×C4×D79C2414yes—
598C2×C4×D79C2414yes—
599C2×C4×D79C2411yescharacteristic
600C2×C4×D79C2414yes—
601C2×C4×D79C2414yes—
602C2×C4×D79C2411yescharacteristic
603C2×C4×D79C2411yescharacteristic
604C2×C4×D79C2411yescharacteristic
605C2×C4×D79C2411yescharacteristic
606C2×C4×D79C2411yescharacteristic
607C2×C4×D79C2418yes—
608C2×C4×D79C2418yes—
609C2×C4×D79C2418yes—
610C2×C4×D79C2414yes—
611C2×C4×D79C2414yes—
612C2×C4×D79C2414yes—
613C2×C4×D79C2418yes—
614C2×C4×D79C2411yescharacteristic
615C2×C4×D79C2411yescharacteristic
616C2×C4×D79C2411yescharacteristic
617C2×C4×D79C2411yescharacteristic
618C4⋊Dic79C2412yes—
619C4⋊Dic79C2412yes—
620C4⋊Dic79C2414yes—
621C4⋊Dic79C2412yes—
622C4⋊Dic79C2412yes—
623C4⋊Dic79C2412yes—
624C4⋊Dic79C2412yes—
625C4⋊Dic79C2412yes—
626C4⋊Dic79C2418yes—
627C4⋊Dic79C2414yes—
628C4⋊Dic79C2418yes—
629C4⋊Dic79C2412yes—
630C4⋊Dic79C2414yes—
631C4⋊Dic79C2414yes—
632Dic79⋊C4C2414yes—
633Dic79⋊C4C2414yes—
634Dic79⋊C4C2414yes—
635Dic79⋊C4C2418yes—
636Dic79⋊C4C2414yes—
637Dic79⋊C4C2418yes—
638Dic79⋊C4C2414yes—
639Dic79⋊C4C2414yes—
640Dic79⋊C4C2414yes—
641Dic79⋊C4C2418yes—
642Dic79⋊C4C2414yes—
643Dic79⋊C4C2414yes—
644Dic79⋊C4C2414yes—
645Dic79⋊C4C2414yes—
646Dic79⋊C4C2418yes—
647Dic79⋊C4C2414yes—
648C22⋊Dic79C2414yes—
649C22⋊Dic79C2414yes—
650C22⋊Dic79C2418yes—
651C22⋊Dic79C2414yes—
652(C2×D79)⋊C4C2414yes—
653(C2×D79)⋊C4C2414yes—
654(C2×D79)⋊C4C2414yes—
655(C2×D79)⋊C4C2414yes—
656(C2×D79)⋊C4C2414yes—
657(C2×D79)⋊C4C2414yes—
658(C2×D79)⋊C4C2414yes—
659(C2×D79)⋊C4C2418yes—
660(C2×D79)⋊C4C2418yes—
661(C2×D79)⋊C4C2414yes—
662(C2×D79)⋊C4C2414yes—
663(C2×D79)⋊C4C2418yes—
664(C2×D79)⋊C4C2418yes—
665(C2×D79)⋊C4C2418yes—
666(C2×D79)⋊C4C2414yes—
667(C2×D79)⋊C4C2418yes—
668(C2×D79)⋊C4C2414yes—
669(C2×D79)⋊C4C2414yes—
670(C2×D79)⋊C4C2414yes—
671(C2×D79)⋊C4C2414yes—
672C4×Dic79C2411yescharacteristic
673C4×Dic79C2411yescharacteristic
674C4×Dic79C2411yescharacteristic
675C4×Dic79C2411yescharacteristic
676C4×Dic79C2411yescharacteristic
677C4×Dic79C2411yescharacteristic
678C4×Dic79C2411yescharacteristic
679C4×Dic79C2411yescharacteristic
680C4×Dic79C2411yescharacteristic
681C4×Dic79C2411yescharacteristic
682C4×Dic79C2411yescharacteristic
683C4×Dic79C2411yescharacteristic
684C4×Dic79C2414yes—
685C4×Dic79C2414yes—
686C4×Dic79C2414yes—
687C4×Dic79C2414yes—
688C4×Dic79C2414yes—
689C4×Dic79C2418yes—
690#41×C79—44no—
691C2×Q8×C79—48no—
692C2×Q8×C79C2412yes—
693C2×Q8×C79C2412yes—
694C2×Q8×C79C2412yes—
695C2×Q8×C79C2412yes—
696C2×Q8×C79C2418yes—
697C2×Q8×C79C2412yes—
698C2×D4×C79C2412yes—
699C2×D4×C79C2412yes—
700C2×D4×C79C2414yes—
701C2×D4×C79C2412yes—
702C22×C4×C79C2411yescharacteristic
703C22×C4×C79C2411yescharacteristic
704C22×C4×C79C2414yes—
705C22×C4×C79C2411yescharacteristic
706C22×C4×C79C2418yes—
707C4⋊C4×C79C2412yes—
708C4⋊C4×C79C2412yes—
709C4⋊C4×C79C2412yes—
710C4⋊C4×C79C2412yes—
711C4⋊C4×C79C2412yes—
712C4⋊C4×C79C2412yes—
713C4⋊C4×C79C2412yes—
714C4⋊C4×C79C2412yes—
715C4⋊C4×C79C2412yes—
716C4⋊C4×C79C2412yes—
717C4⋊C4×C79C2414yes—
718C4⋊C4×C79C2414yes—
719C4⋊C4×C79C2418yes—
720C4⋊C4×C79C2418yes—
721C4⋊C4×C79C2414yes—
722C4⋊C4×C79C2414yes—
723C22⋊C4×C79C2414yes—
724C22⋊C4×C79C2414yes—
725C22⋊C4×C79C2418yes—
726C22⋊C4×C79C2414yes—
727C22⋊C4×C79C2414yes—
728C22⋊C4×C79C2418yes—
729C22⋊C4×C79C2418yes—
730C42×C79C2411yescharacteristic
731C42×C79C2411yescharacteristic
732C42×C79C2411yescharacteristic
733C42×C79C2411yescharacteristic
734C42×C79C2414yes—
735C42×C79C2414yes—
736C42×C79C2418yes—
737C23×C79C2514yes—
738C23×C79C2511yescharacteristic
739C22×D79—22no—
740C22×D79—22no—
741C22×D79—28no—
742C22×D79—41no—
743C22×D79—44no—
744C22×D79—44no—
745C22×D79C2514yes—
746C22×D79C2514yes—
747C22×D79C2511yescharacteristic
748C22×D79C2511yescharacteristic
749Q8×C79—24no—
750Q8×C79—24no—
751Q8×C79—24no—
752Q8×C79—24no—
753Q8×C79—48no—
754Q8×C79—42no—
755D4×C79—24no—
756D4×C79—24no—
757D4×C79—42no—
758D4×C79—44no—
759C2×C4×C79—22no—
760C2×C4×C79—28no—
761C2×C4×C79—22no—
762C2×C4×C79—22no—
763C2×C4×C79—48no—
764C2×C4×C79C2514yes—
765C2×C4×C79C2511yescharacteristic
766C2×C4×C79C2511yescharacteristic
767C2×C4×C79C2511yescharacteristic
768C2×C4×C79C2514yes—
769C2×C4×C79C2514yes—
770C2×C4×C79C2514yes—
771C2×C4×C79C2514yes—
772C2×C4×C79C2511yescharacteristic
773C2×C4×C79C2511yescharacteristic
774C2×C4×C79C2511yescharacteristic
775C22⋊D79—28no—
776C22⋊D79—28no—
777C22⋊D79—28no—
778C22⋊D79—44no—
779C22⋊D79—44no—
780C22⋊D79—48no—
781C22⋊D79—44no—
782C22⋊D79—48no—
783C2×Dic79—22no—
784C2×Dic79—22no—
785C2×Dic79—41no—
786C2×Dic79—44no—
787C2×Dic79—48no—
788C2×Dic79C2511yescharacteristic
789C2×Dic79C2511yescharacteristic
790C2×Dic79C2514yes—
791C2×Dic79C2511yescharacteristic
792C2×Dic79C2511yescharacteristic
793C2×Dic79C2514yes—
794C2×Dic79C2514yes—
795C2×Dic79C2514yes—
796C2×Dic79C2511yescharacteristic
797C2×Dic79C2511yescharacteristic
798D316—28no—
799D316—28no—
800D316—28no—
801D316—24no—
802D316—24no—
803D316—24no—
804D316—24no—
805D316—42no—
806D316—42no—
807D316—48no—
808D316—48no—
809C4×D79—22no—
810C4×D79—28no—
811C4×D79—22no—
812C4×D79—22no—
813C4×D79—28no—
814C4×D79—22no—
815C4×D79—22no—
816C4×D79—22no—
817C4×D79—28no—
818C4×D79—22no—
819C4×D79—28no—
820C4×D79—22no—
821C4×D79—28no—
822C4×D79—41no—
823C4×D79—41no—
824C4×D79—44no—
825C4×D79—44no—
826C4×D79—44no—
827C4×D79—48no—
828C4×D79—48no—
829C4×D79—48no—
830C4×D79—48no—
831C4×D79H(5,𝔽2)14yes—
832C4×D792−1+414yescomplemented
833Dic158—24no—
834Dic158—24no—
835Dic158—28no—
836Dic158—28no—
837Dic158—48no—
838Dic158—44no—
839Dic158—42no—
840Dic158—42no—
841C22×C79—24no—
842C22×C79—21no—
843C22×C79—24no—
844C22×C79—21no—
845C22×C79—21no—
846C22×C79—24no—
847C22×C79C2611yescharacteristic
848C2×D79—21no—
849C2×D79—21no—
850C2×D79—21no—
851C2×D79—21no—
852C2×D79—24no—
853C2×D79—24no—
854C2×D79—24no—
855C2×D79—24no—
856C2×D79—24no—
857C2×D79—24no—
858C2×D79—44no—
859C2×D79—88no—
860C2×D79C2×H(5,𝔽2)12yes—
861C2×D79C2×2−1+412yes—
862C4×C79—21no—
863C4×C79—24no—
864C4×C79—24no—
865C4×C79—24no—
866C4×C79—21no—
867C4×C79—24no—
868C4×C79—21no—
869C4×C79—24no—
870C4×C79C2×H(5,𝔽2)12yes—
871C4×C79C2×2−1+412yes—
872C4×C79#58512yes—
873Dic79—24no—
874Dic79—24no—
875Dic79—21no—
876Dic79—21no—
877Dic79—21no—
878Dic79—24no—
879Dic79—24no—
880Dic79—21no—
881Dic79C2×H(5,𝔽2)12yes—
882Dic79C2×2−1+412yes—
883#62835—791nomaximal, Sylow
884C2×C79—41no—
885C2×C79—44no—
886C2×C79C22×H(5,𝔽2)11yescharacteristic
887C2×C79C22×2−1+411yescharacteristic
888C2×C79C2×#58511yescharacteristic
889D79—22no—
890D79—22no—
891D79—44no—
892D79—44no—
893#3561—794no—
894#3559—794no—
895#3554—794no—
896#3550—791no—
897#3550D7911yescharacteristic, complemented
898#3548—791no—
899#3548—791no—
900#3547—794no—
901#3536—794no—
902#3522—792no—
903#3522—792no—
904#3520—792no—
905#3520—792no—
906#3511—792no—
907#3511—794no—
908#3508—792no—
909#3507—792no—
910#3506—792no—
911#3503—792no—
912#3501—792no—
913#3499—792no—
914#3497—792no—
915#3494—794no—
916#3489—794no—
917#3444—791no—
918C2×#533—791no—
919C2×#532—791no—
920C79#6283511yescharacteristic, complemented, Sylow
921C2×2−1+4—794no—
922C22×#41—792no—
923#563—794no—
924#563C2×D7914yescomplemented
925#562—794no—
926#562—798no—
927#562—794no—
928#562—798no—
929#559—794no—
930#559—794no—
931#559—794no—
932#559—792no—
933#559C2×D7912yescomplemented
934Q82—792no—
935Q82C2×D7912yescomplemented
936#557—794no—
937#556—792no—
938#556—798no—
939#556—792no—
940#556C2×D7912yescomplemented
941#556C2×D7912yescomplemented
942#555—798no—
943#555—794no—
944#554—794no—
945#554—794no—
946#554—792no—
947#554—798no—
948#554—794no—
949#554—794no—
950#554—792no—
951#554—792no—
952#554—792no—
953#554—794no—
954#553—798no—
955#553—798no—
956#553—798no—
957#552—794no—
958#552—794no—
959#551—798no—
960#551—798no—
961#550—792no—
962#550—792no—
963#550—792no—
964#550—792no—
965#550—794no—
966D4×Q8—794no—
967D4×Q8—798no—
968D4×Q8—792no—
969D4×Q8—794no—
970D4×Q8—792no—
971D4×Q8C2×D7912yescomplemented
972D4×Q8C2×D7912yescomplemented
973#548—794no—
974#548—798no—
975#548—794no—
976#548—798no—
977#548—794no—
978#548—794no—
979#547—798no—
980#547—792no—
981#547—794no—
982#547—792no—
983#547—798no—
984#547—798no—
985#547—798no—
986#547—794no—
987#547—792no—
988#547—792no—
989#547—794no—
990#546—798no—
991#546—794no—
992#546—798no—
993#546—798no—
994#546—794no—
995#544—794no—
996#544—798no—
997#543—798no—
998#542—794no—
999#542—798no—
1000#542—798no—
1001#542—794no—
1002#542—798no—
1003#542—794no—
1004#542—794no—
1005#542C2×D7914yescomplemented
1006#542C2×D7914yescomplemented
1007#540—798no—
1008#540—794no—
1009#540—794no—
1010#539—798no—
1011#539—798no—
1012#539—798no—
1013#538—798no—
1014#537—794no—
1015#537—794no—
1016#537—794no—
1017#537—798no—
1018#537—794no—
1019#537—794no—
1020#536—794no—
1021#536—794no—
1022#536—798no—
1023#536C2×D7914yescomplemented
1024#535—794no—
1025#533—791no—
1026#533—791no—
1027#533—791no—
1028#533—791no—
1029#533—792no—
1030#533—792no—
1031#533—792no—
1032#533—792no—
1033#533—792no—
1034#533—794no—
1035#533—792no—
1036#533—791no—
1037#533C2×D7911yescharacteristic, complemented
1038#533C2×D7911yescharacteristic, complemented
1039#532—792no—
1040#532—791no—
1041#532—791no—
1042#532—791no—
1043#532—794no—
1044#532—791no—
1045#532—792no—
1046#532—794no—
1047#532—792no—
1048#532—792no—
1049#532—792no—
1050#532—792no—
1051#532—794no—
1052#532—794no—
1053#532—791no—
1054#532—791no—
1055#532C2×D7911yescharacteristic
1056C2×C4⋊Q8—791no—
1057C2×C4⋊Q8—791no—
1058C2×C4⋊Q8—791no—
1059C2×C4⋊Q8—794no—
1060C2×#127—791no—
1061#529—792no—
1062#529—792no—
1063#529—794no—
1064#529—792no—
1065#529—792no—
1066#529—792no—
1067#529—792no—
1068#529—794no—
1069C2×#125—792no—
1070C2×#124—792no—
1071#525—792no—
1072#525—792no—
1073#525—794no—
1074#525—792no—
1075#525—794no—
1076C2×C22⋊Q8—794no—
1077C2×C22⋊Q8—792no—
1078C2×C22⋊Q8—792no—
1079C2×C22⋊Q8—794no—
1080C2×#121—792no—
1081C2×#121—792no—
1082#520—794no—
1083#520—794no—
1084#520—794no—
1085#520—794no—
1086#518—794no—
1087C4×#41—792no—
1088C4×#41—792no—
1089C4×#41—792no—
1090C2×C4×Q8—792no—
1091C2×C4×Q8—792no—
1092C2×C4×D4—792no—
1093C2×C4×D4—792no—
1094C2×#117—792no—
1095C22×C42—791no—
10962−1+4—31616no—
1097C2×#41—3168no—
1098C2×#41—794no—
1099C2×#41—794no—
1100C2×#41—792no—
1101C2×#41—798no—
1102C2×#41—792no—
1103C2×#41—792no—
1104C2×#41—794no—
1105C2×#41—792no—
1106C2×#41—794no—
1107C2×#41—792no—
1108C2×#41—794no—
1109C2×#41—792no—
1110C2×#41—798no—
1111C2×#41—798no—
1112C2×#41—794no—
1113C2×#41C22×D7912yes—
1114C22×Q8—792no—
1115C22×Q8—794no—
1116C22×Q8—792no—
1117C22×Q8—798no—
1118C22×Q8—792no—
1119C22×Q8C22×D7914yes—
1120C22×D4—792no—
1121C22×D4—794no—
1122C22×D4—792no—
1123C22×D4—792no—
1124C23×C4—794no—
1125C23×C4—791no—
1126C23×C4—791no—
1127C23×C4—791no—
1128C4⋊Q8—792no—
1129C4⋊Q8—792no—
1130C4⋊Q8—792no—
1131C4⋊Q8—798no—
1132C4⋊Q8—792no—
1133C4⋊Q8—792no—
1134C4⋊Q8—792no—
1135C4⋊Q8—792no—
1136C4⋊Q8—792no—
1137C4⋊Q8—792no—
1138C4⋊Q8—798no—
1139C4⋊Q8—794no—
1140C4⋊Q8—798no—
1141C4⋊Q8—791no—
1142C4⋊Q8—791no—
1143C4⋊Q8—791no—
1144C4⋊Q8—794no—
1145C4⋊Q8—791no—
1146C4⋊Q8C22×D7911yescharacteristic
1147C4⋊Q8C22×D7911yescharacteristic
1148C4⋊Q8C22×D7911yescharacteristic
1149C4⋊Q8C22×D7914yes—
1150C4⋊Q8C22×D7911yescharacteristic
1151C4⋊Q8C22×D7911yescharacteristic
1152C4⋊Q8C22×D7914yes—
1153C4⋊Q8C22×D7918yes—
1154#127—792no—
1155#127—792no—
1156#127—792no—
1157#127—794no—
1158#127—791no—
1159#127—791no—
1160#127—794no—
1161#127C22×D7911yescharacteristic
1162#126—794no—
1163#126—794no—
1164#126—798no—
1165#126—798no—
1166#126—798no—
1167#126—798no—
1168#126C22×D7918yes—
1169#126C22×D7918yes—
1170#125—792no—
1171#125—792no—
1172#125—794no—
1173#125—794no—
1174#125—792no—
1175#125—792no—
1176#125—794no—
1177#125—798no—
1178#125—798no—
1179#125—792no—
1180#125—794no—
1181#125—798no—
1182#125C22×D7912yes—
1183#125C22×D7912yes—
1184#124—792no—
1185#124—792no—
1186#124—792no—
1187#124—794no—
1188#124—798no—
1189#124—792no—
1190#124—794no—
1191#124—794no—
1192#124—798no—
1193#124—798no—
1194#124—798no—
1195#124—798no—
1196#124—792no—
1197#124—792no—
1198#124—794no—
1199#124—798no—
1200#124C22×D7912yes—
1201#124C22×D7914yes—
1202#124C22×D7914yes—
1203#124C22×D7918yes—
1204#123—794no—
1205#123—794no—
1206#123—798no—
1207#123—798no—
1208#123—798no—
1209#123—798no—
1210#123—798no—
1211#123—798no—
1212#123—794no—
1213#123—798no—
1214#123—798no—
1215#123—798no—
1216#123—798no—
1217#123—798no—
1218#123—798no—
1219#123—798no—
1220#123—798no—
1221#123C22×D7918yes—
1222#123C22×D7918yes—
1223C22⋊Q8—792no—
1224C22⋊Q8—792no—
1225C22⋊Q8—792no—
1226C22⋊Q8—794no—
1227C22⋊Q8—794no—
1228C22⋊Q8—798no—
1229C22⋊Q8—798no—
1230C22⋊Q8—792no—
1231C22⋊Q8—794no—
1232C22⋊Q8—798no—
1233C22⋊Q8—798no—
1234C22⋊Q8—798no—
1235C22⋊Q8—792no—
1236C22⋊Q8—792no—
1237C22⋊Q8—794no—
1238C22⋊Q8—798no—
1239C22⋊Q8—792no—
1240C22⋊Q8—794no—
1241C22⋊Q8—794no—
1242C22⋊Q8—792no—
1243C22⋊Q8—798no—
1244C22⋊Q8—792no—
1245C22⋊Q8—792no—
1246C22⋊Q8—794no—
1247C22⋊Q8—798no—
1248C22⋊Q8—794no—
1249C22⋊Q8—798no—
1250C22⋊Q8—798no—
1251C22⋊Q8—798no—
1252C22⋊Q8—798no—
1253C22⋊Q8—798no—
1254C22⋊Q8—798no—
1255C22⋊Q8—794no—
1256C22⋊Q8—794no—
1257C22⋊Q8—798no—
1258C22⋊Q8—798no—
1259C22⋊Q8—798no—
1260C22⋊Q8C22×D7912yes—
1261C22⋊Q8C22×D7912yes—
1262C22⋊Q8C22×D7914yes—
1263C22⋊Q8C22×D7912yes—
1264C22⋊Q8C22×D7912yes—
1265C22⋊Q8C22×D7914yes—
1266C22⋊Q8C22×D7918yes—
1267C22⋊Q8C22×D7918yes—
1268#121—792no—
1269#121—792no—
1270#121—794no—
1271#121—794no—
1272#121—794no—
1273#121—798no—
1274#121—798no—
1275#121—798no—
1276#121—792no—
1277#121—792no—
1278#121—792no—
1279#121—792no—
1280#121—794no—
1281#121—798no—
1282#121—792no—
1283#121—792no—
1284#121—792no—
1285#121—792no—
1286#121—792no—
1287#121—792no—
1288#121—794no—
1289#121—798no—
1290#121—794no—
1291#121—798no—
1292#121—798no—
1293#121—794no—
1294#121—794no—
1295#121—798no—
1296#121—798no—
1297#121—798no—
1298#121—798no—
1299#121—798no—
1300#121—798no—
1301#121—798no—
1302#121—798no—
1303#121C22×D7912yes—
1304#121C22×D7912yes—
1305#120—794no—
1306#120—798no—
1307#120—798no—
1308C4×Q8—792no—
1309C4×Q8—792no—
1310C4×Q8—792no—
1311C4×Q8—792no—
1312C4×Q8—794no—
1313C4×Q8—792no—
1314C4×Q8—794no—
1315C4×Q8—792no—
1316C4×Q8—794no—
1317C4×Q8—792no—
1318C4×Q8—792no—
1319C4×Q8—792no—
1320C4×Q8—794no—
1321C4×Q8—792no—
1322C4×Q8—794no—
1323C4×Q8—798no—
1324C4×Q8—794no—
1325C4×Q8C22×D7912yes—
1326C4×Q8C22×D7912yes—
1327C4×Q8C22×D7912yes—
1328C4×Q8C22×D7912yes—
1329C4×Q8C22×D7914yes—
1330C4×Q8C22×D7914yes—
1331C4×D4—792no—
1332C4×D4—792no—
1333C4×D4—794no—
1334C4×D4—794no—
1335C4×D4—794no—
1336C4×D4—798no—
1337C4×D4—798no—
1338C4×D4—792no—
1339C4×D4—792no—
1340C4×D4—794no—
1341C4×D4—794no—
1342C4×D4—792no—
1343C4×D4—792no—
1344C4×D4—792no—
1345C4×D4—792no—
1346C4×D4—794no—
1347C4×D4—798no—
1348C4×D4—794no—
1349C4×D4—798no—
1350C4×D4—794no—
1351C4×D4—794no—
1352C4×D4—794no—
1353C4×D4—794no—
1354C4×D4—798no—
1355C4×D4—798no—
1356C4×D4—798no—
1357C4×D4—798no—
1358C4×D4—792no—
1359C4×D4—792no—
1360C4×D4—794no—
1361C4×D4—794no—
1362C4×D4—792no—
1363C4×D4—792no—
1364C4×D4—794no—
1365C4×D4—798no—
1366C4×D4—798no—
1367C4×D4—798no—
1368C4×D4—794no—
1369C4×D4—794no—
1370C4×D4C22×D7912yes—
1371C4×D4C22×D7912yes—
1372C4×D4C22×D7914yes—
1373C4×D4C22×D7914yes—
1374#117—792no—
1375#117—792no—
1376#117—792no—
1377#117—792no—
1378#117—792no—
1379#117—794no—
1380#117—794no—
1381#117—794no—
1382#117—794no—
1383#117—798no—
1384#117—794no—
1385#117—794no—
1386#117—798no—
1387#117—798no—
1388#117C22×D7912yes—
1389#117C22×D7912yes—
1390#117C22×D7914yes—
1391C2×C4⋊C4—794no—
1392C2×C4⋊C4—798no—
1393C2×C4⋊C4—792no—
1394C2×C4⋊C4—792no—
1395C2×C4⋊C4—792no—
1396C2×C4⋊C4—792no—
1397C2×C4⋊C4—792no—
1398C2×C4⋊C4—794no—
1399C2×C4⋊C4—794no—
1400C2×C4⋊C4—792no—
1401C2×C4⋊C4—794no—
1402C2×C4⋊C4—798no—
1403C2×C4⋊C4—794no—
1404C2×C4⋊C4—794no—
1405C2×C4⋊C4—798no—
1406C2×C22⋊C4—798no—
1407C2×C22⋊C4—794no—
1408C2×C22⋊C4—794no—
1409C2×C22⋊C4—794no—
1410C2×C22⋊C4—798no—
1411C2×C42—791no—
1412C2×C42—791no—
1413C2×C42—791no—
1414C2×C42—794no—
1415C2×C42—791no—
1416C2×C42—791no—
1417C2×C42—791no—
1418C2×C42—791no—
1419C2×C42—794no—
1420C2×C42—791no—
1421C2×C42—791no—
1422C2×C42—791no—
1423C2×C42—791no—
1424C2×C42C22×D7911yescharacteristic
1425C24—794no—
1426C24—791no—
1427#41—44no—
1428#41—3168no—
1429#41—3164no—
1430#41—3164no—
1431#41—31616no—
1432#41—31616no—
1433#41—3168no—
1434#41—3168no—
1435#41—3164no—
1436#41—3168no—
1437#41—3168no—
1438#41—3164no—
1439#41—31616no—
1440#41—15816no—
1441#41—1588no—
1442#41—1588no—
1443C2×Q8—48no—
1444C2×Q8—3164no—
1445C2×Q8—3168no—
1446C2×Q8—3164no—
1447C2×Q8—31616no—
1448C2×Q8—792no—
1449C2×Q8—794no—
1450C2×Q8—798no—
1451C2×Q8—792no—
1452C2×Q8—792no—
1453C2×Q8—792no—
1454C2×Q8—794no—
1455C2×Q8—794no—
1456C2×Q8—1588no—
1457C2×Q8C23×D7912yes—
1458C2×Q8C23×D7912yes—
1459C2×Q8C23×D7912yes—
1460C2×Q8C23×D7912yes—
1461C2×Q8C23×D7918yes—
1462C2×Q8C23×D7912yes—
1463C2×D4—3168no—
1464C2×D4—3164no—
1465C2×D4—3164no—
1466C2×D4—794no—
1467C2×D4—798no—
1468C2×D4—794no—
1469C2×D4—798no—
1470C2×D4—794no—
1471C2×D4—794no—
1472C2×D4—794no—
1473C2×D4—794no—
1474C2×D4—798no—
1475C2×D4—792no—
1476C2×D4—798no—
1477C2×D4—792no—
1478C2×D4—794no—
1479C2×D4—792no—
1480C2×D4—792no—
1481C2×D4—792no—
1482C2×D4—794no—
1483C2×D4—794no—
1484C2×D4—792no—
1485C2×D4—1588no—
1486C2×D4C23×D7912yes—
1487C2×D4C23×D7912yes—
1488C2×D4C23×D7914yes—
1489C2×D4C23×D7912yes—
1490C22×C4—3162no—
1491C22×C4—3168no—
1492C22×C4—791no—
1493C22×C4—798no—
1494C22×C4—794no—
1495C22×C4—791no—
1496C22×C4—791no—
1497C22×C4—794no—
1498C22×C4—794no—
1499C22×C4—798no—
1500C22×C4—798no—
1501C22×C4—794no—
1502C22×C4—798no—
1503C22×C4—798no—
1504C22×C4—791no—
1505C22×C4—791no—
1506C22×C4—791no—
1507C22×C4—791no—
1508C22×C4—791no—
1509C22×C4—791no—
1510C22×C4—791no—
1511C22×C4—791no—
1512C22×C4—791no—
1513C22×C4—791no—
1514C22×C4—791no—
1515C22×C4—791no—
1516C22×C4—794no—
1517C22×C4—794no—
1518C22×C4—794no—
1519C22×C4—794no—
1520C22×C4—794no—
1521C22×C4—1584no—
1522C22×C4—1584no—
1523C22×C4C23×D7911yescharacteristic
1524C22×C4C23×D7911yescharacteristic
1525C22×C4C23×D7911yescharacteristic
1526C22×C4C23×D7914yes—
1527C22×C4C23×D7918yes—
1528C4⋊C4—794no—
1529C4⋊C4—794no—
1530C4⋊C4—794no—
1531C4⋊C4—794no—
1532C4⋊C4—798no—
1533C4⋊C4—798no—
1534C4⋊C4—794no—
1535C4⋊C4—794no—
1536C4⋊C4—794no—
1537C4⋊C4—798no—
1538C4⋊C4—798no—
1539C4⋊C4—794no—
1540C4⋊C4—794no—
1541C4⋊C4—794no—
1542C4⋊C4—794no—
1543C4⋊C4—794no—
1544C4⋊C4—792no—
1545C4⋊C4—792no—
1546C4⋊C4—792no—
1547C4⋊C4—792no—
1548C4⋊C4—794no—
1549C4⋊C4—792no—
1550C4⋊C4—792no—
1551C4⋊C4—792no—
1552C4⋊C4—798no—
1553C4⋊C4—798no—
1554C4⋊C4—794no—
1555C4⋊C4—792no—
1556C4⋊C4—794no—
1557C4⋊C4—794no—
1558C4⋊C4C23×D7912yes—
1559C4⋊C4C23×D7912yes—
1560C4⋊C4C23×D7912yes—
1561C4⋊C4C23×D7912yes—
1562C4⋊C4C23×D7912yes—
1563C4⋊C4C23×D7912yes—
1564C4⋊C4C23×D7918yes—
1565C4⋊C4C23×D7918yes—
1566C4⋊C4C23×D7914yes—
1567C4⋊C4C23×D7914yes—
1568C4⋊C4C23×D7912yes—
1569C4⋊C4C23×D7912yes—
1570C4⋊C4C23×D7914yes—
1571C4⋊C4C23×D7914yes—
1572C4⋊C4C23×D7912yes—
1573C4⋊C4C23×D7912yes—
1574C22⋊C4—794no—
1575C22⋊C4—794no—
1576C22⋊C4—798no—
1577C22⋊C4—794no—
1578C22⋊C4—794no—
1579C22⋊C4—794no—
1580C22⋊C4—794no—
1581C22⋊C4—794no—
1582C22⋊C4—794no—
1583C22⋊C4—798no—
1584C22⋊C4—798no—
1585C22⋊C4—794no—
1586C22⋊C4—794no—
1587C22⋊C4—794no—
1588C22⋊C4—794no—
1589C22⋊C4—794no—
1590C22⋊C4—798no—
1591C22⋊C4—798no—
1592C22⋊C4—794no—
1593C22⋊C4—794no—
1594C22⋊C4—798no—
1595C22⋊C4—798no—
1596C22⋊C4—794no—
1597C22⋊C4—794no—
1598C22⋊C4C23×D7914yes—
1599C22⋊C4C23×D7914yes—
1600C22⋊C4C23×D7918yes—
1601C22⋊C4C23×D7914yes—
1602C22⋊C4C23×D7918yes—
1603C22⋊C4C23×D7918yes—
1604C22⋊C4C23×D7914yes—
1605C42—791no—
1606C42—791no—
1607C42—791no—
1608C42—791no—
1609C42—791no—
1610C42—791no—
1611C42—791no—
1612C42—791no—
1613C42—791no—
1614C42—791no—
1615C42—791no—
1616C42—791no—
1617C42—794no—
1618C42—794no—
1619C42—794no—
1620C42—794no—
1621C42—794no—
1622C42—798no—
1623C42C23×D7911yescharacteristic
1624C42C23×D7911yescharacteristic
1625C42C23×D7911yescharacteristic
1626C42C23×D7911yescharacteristic
1627C42C23×D7914yes—
1628C42C23×D7914yes—
1629C42C23×D7918yes—
1630C23—3161no—
1631C23—3164no—
1632C23—3164no—
1633C23—791no—
1634C23—791no—
1635C23—794no—
1636C23—794no—
1637C23—1582no—
1638C23—1582no—
1639C23—1588no—
1640C23C24×D7914yes—
1641C23C24×D7911yescharacteristic
1642Q8—24no—
1643Q8—24no—
1644Q8—24no—
1645Q8—24no—
1646Q8—48no—
1647Q8—42no—
1648Q8—3168no—
1649Q8—3162no—
1650Q8—3164no—
1651Q8—3162no—
1652Q8—1588no—
1653Q8—1588no—
1654Q8—1584no—
1655Q8—1584no—
1656D4—24no—
1657D4—24no—
1658D4—44no—
1659D4—42no—
1660D4—3162no—
1661D4—3168no—
1662D4—3162no—
1663D4—3168no—
1664D4—3164no—
1665D4—3164no—
1666D4—3164no—
1667D4—3168no—
1668D4—3168no—
1669D4—1588no—
1670D4—1588no—
1671D4—1588no—
1672D4—1588no—
1673D4—1588no—
1674D4—1588no—
1675D4—1584no—
1676D4—1584no—
1677D4—1584no—
1678D4—1584no—
1679C2×C4—28no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—48no—
1684C2×C4—3164no—
1685C2×C4—3164no—
1686C2×C4—3161no—
1687C2×C4—3161no—
1688C2×C4—3168no—
1689C2×C4—3168no—
1690C2×C4—3168no—
1691C2×C4—3164no—
1692C2×C4—3168no—
1693C2×C4—3164no—
1694C2×C4—3161no—
1695C2×C4—3168no—
1696C2×C4—791no—
1697C2×C4—791no—
1698C2×C4—794no—
1699C2×C4—794no—
1700C2×C4—791no—
1701C2×C4—791no—
1702C2×C4—794no—
1703C2×C4—791no—
1704C2×C4—791no—
1705C2×C4—794no—
1706C2×C4—794no—
1707C2×C4—794no—
1708C2×C4—1582no—
1709C2×C4—1582no—
1710C2×C4—1588no—
1711C2×C4—1588no—
1712C2×C4—1582no—
1713C2×C4—1582no—
1714C2×C4—1588no—
1715C2×C4—1582no—
1716C2×C4—1582no—
1717C2×C4—1582no—
1718C2×C4—1588no—
1719C2×C4—1582no—
1720C2×C4—1582no—
1721C2×C4—1582no—
1722C2×C4—1588no—
1723C2×C4C24×D7914yes—
1724C2×C4C24×D7911yescharacteristic
1725C2×C4C24×D7911yescharacteristic
1726C2×C4C24×D7911yescharacteristic
1727C2×C4C24×D7914yes—
1728C2×C4C24×D7914yes—
1729C2×C4C24×D7914yes—
1730C2×C4C24×D7914yes—
1731C2×C4C24×D7911yescharacteristic
1732C2×C4C24×D7911yescharacteristic
1733C2×C4C24×D7911yescharacteristic
1734C22—24no—
1735C22—21no—
1736C22—21no—
1737C22—24no—
1738C22—21no—
1739C22—24no—
1740C22—3164no—
1741C22—792no—
1742C22—792no—
1743C22—6328no—
1744C22—1584no—
1745C22—1584no—
1746C22—1584no—
1747C22—1584no—
1748C22—1584no—
1749C22—1584no—
1750C22—1581no—
1751C22—1581no—
1752C22—1581no—
1753C22—1581no—
1754C22C25×D7911yescharacteristic
1755C4—24no—
1756C4—21no—
1757C4—24no—
1758C4—24no—
1759C4—21no—
1760C4—24no—
1761C4—21no—
1762C4—24no—
1763C4—792no—
1764C4—792no—
1765C4—1581no—
1766C4—1584no—
1767C4—1584no—
1768C4—1581no—
1769C4—1584no—
1770C4—1584no—
1771C4—1581no—
1772C4—1581no—
1773C4H(5,𝔽2)×D7912yes—
1774C42−1+4×D7912yes—
1775C4#1909940012yes—
1776C2—41no—
1777C2—44no—
1778C2—3164no—
1779C2—3164no—
1780C2—1582no—
1781C2—1582no—
1782C2C2×H(5,𝔽2)×D7911yescharacteristic
1783C2C2×2−1+4×D7911yescharacteristic
1784C2C2×#1909940011yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3550C2
hypercenter#3550D79
hypocenterC79#62835
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3550

Complements

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

NH ≅ G/Ntype
1. #23777968C2semidirect
2. #23777937C2semidirect
3. #23777869C2semidirect
4. #23777811C2semidirect
5. #23777800C2semidirect
6. #23777798C2semidirect
7. #23777787C2semidirect
8. #23777625C2semidirect
9. #23777486C2semidirect
10. #23777482C2semidirect
11. #23777450C2semidirect
12. #23777448C2semidirect
13. #23777305C2semidirect
14. #23777304C2semidirect
15. #23777273C2semidirect
16. #23777255C2semidirect
17. #23777253C2semidirect
18. #23777218C2semidirect
19. #23777195C2semidirect
20. #23777184C2semidirect
21. #23777170C2semidirect
22. #23777133C2semidirect
23. #23777078C2semidirect
24. #23776697C2semidirect
25. #533×D79C2semidirect
26. #532×D79C2semidirect
27. C79×#3550C2semidirect
28. C2×#14579209C22semidirect
30. #19099317C22semidirect
31. #19099311C22semidirect
32. #19099310C22semidirect
33. #19099307C22semidirect
34. #19099307C22semidirect
35. #19099298C22semidirect
36. #19099298C22semidirect
37. #19099295C22semidirect
38. #19099295C22semidirect
39. Q8×Dic158C22semidirect
40. #19099289C22semidirect
41. #19099287C22semidirect
42. #19099286C22semidirect
43. #19099280C22semidirect
44. #19099276C22semidirect
45. #19099275C22semidirect
47. #19099274C22semidirect
48. #19099274C22semidirect
50. #19099273C22semidirect
51. #19099273C22semidirect
52. #19099272C22semidirect
53. #19099271C22semidirect
54. #19099270C22semidirect
55. #19099267C22semidirect
56. #19099264C22semidirect
57. #19099264C22semidirect
58. #19099258C22semidirect
59. #19099255C22semidirect
60. #19099252C22semidirect
63. #19099235C22semidirect
64. #19099235C22semidirect
65. #19099234C22semidirect
66. #19099234C22semidirect
67. #19099233C22semidirect
68. Q8×D316C22semidirect
70. #19099228C22semidirect
71. #19099228C22semidirect
72. Q8×C22⋊D79C22semidirect
73. #19099225C22semidirect
74. #19099224C22semidirect
75. #19099223C22semidirect
76. #19099223C22semidirect
77. #19099221C22semidirect
78. #19099221C22semidirect
79. #19099218C22semidirect
80. #19099218C22semidirect
81. #19099217C22semidirect
82. #19099216C22semidirect
83. #19099216C22semidirect
84. #19099216C22semidirect
85. #19099216C22semidirect
86. #19099215C22semidirect
87. #19099215C22semidirect
88. #19099211C22semidirect
89. #19099211C22semidirect
96. #19099190C22semidirect
98. #19099187C22semidirect
99. #19099187C22semidirect
100. #19099186C22semidirect
101. #19099184C22semidirect
102. #19099182C22semidirect
103. #19099181C22semidirect
104. #19099179C22semidirect
105. #19099168C22semidirect
106. #19099166C22semidirect
107. #19099165C22semidirect
108. #19099162C22semidirect
109. #19099154C22semidirect
110. #19099154C22semidirect
112. #19099143C22semidirect
113. #19099143C22semidirect
114. #19099143C22semidirect
115. #19099143C22semidirect
116. #19099142C22semidirect
117. #19099141C22semidirect
118. #19099136C22semidirect
119. #19099136C22semidirect
120. #19099136C22semidirect
122. #19099120C22semidirect
127. #19099118C22semidirect
130. #19099117C22semidirect
131. #19099116C22semidirect
132. #19099115C22semidirect
133. #19099115C22semidirect
136. #19099114C22semidirect
137. #19099114C22semidirect
139. #19099113C22semidirect
141. #19099112C22semidirect
145. #19099110C22semidirect
146. #19099110C22semidirect
151. C4⋊Q8×D79C22semidirect
152. C4⋊Q8×D79C22semidirect
153. C4⋊Q8×D79C22semidirect
156. #19099100C22semidirect
157. #19099100C22semidirect
158. #19099099C22semidirect
159. #19099099C22semidirect
161. #19099098C22semidirect
162. #19099092C22semidirect
163. #125×D79C22semidirect
177. #19099045C22semidirect
178. #19099043C22semidirect
179. #19099042C22semidirect
182. C4×#11929625C22semidirect
183. #19099031C22semidirect
184. C4×Q8×D79C22semidirect
185. C4×Q8×D79C22semidirect
190. #563×C79C22semidirect
191. #559×C79C22semidirect
192. Q82×C79C22semidirect
193. #556×C79C22semidirect
194. #556×C79C22semidirect
195. D4×Q8×C79C22semidirect
196. D4×Q8×C79C22semidirect
197. #542×C79C22semidirect
198. #542×C79C22semidirect
199. #536×C79C22semidirect
200. #533×C79C22semidirect
201. #533×C79C22semidirect
832. C4×D792−1+4semidirect
897. #3550D79semidirect
920. C79#62835semidirect
924. #563C2×D79semidirect
933. #559C2×D79semidirect
935. Q82C2×D79semidirect
940. #556C2×D79semidirect
941. #556C2×D79semidirect
971. D4×Q8C2×D79semidirect
972. D4×Q8C2×D79semidirect
1005. #542C2×D79semidirect
1006. #542C2×D79semidirect
1023. #536C2×D79semidirect
1037. #533C2×D79semidirect
1038. #533C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779682
#237779372
#237778692
#237778112
#237778002
#237777982
#237777872
#237776252
#237774862
#237774822
#237774502
#237774482
#237773052
#237773042
#237772732
#237772552
#237772532
#237772182
#237771952
#237771842
#237771702
#237771332
#237770782
#237766972
#533×D792
#532×D792
C79×#35502
#6283579