Finite Group Databasebeta

← #35158515

Subgroups — #35158515

Order 20224.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777147C211yesmaximal, characteristic, complemented
2#23777130C211yesmaximal, characteristic, complemented
3#23774129C211yesmaximal, characteristic, complemented
4#23774122C211yesmaximal, characteristic, complemented
5#23774113C211yesmaximal, characteristic, complemented
6#23774090C211yesmaximal, characteristic, complemented
7#23774081C211yesmaximal, characteristic, complemented
8#23774075C211yesmaximal, characteristic, complemented
9#23774066C211yesmaximal, characteristic, complemented
10#23774042C211yesmaximal, characteristic, complemented
11#23774037C211yesmaximal, characteristic, complemented
12#23774026C211yesmaximal, characteristic, complemented
13#23774025C211yesmaximal, characteristic, complemented
14#23774000C211yesmaximal, characteristic, complemented
15#23773999C211yesmaximal, characteristic, complemented
16#23773989C211yesmaximal, characteristic, complemented
17#23773988C211yesmaximal, characteristic, complemented
18#23773933C211yesmaximal, characteristic, complemented
19#23773869C211yesmaximal, characteristic, complemented
20#23773760C211yesmaximal, characteristic, complemented
21#23773749C211yesmaximal, characteristic, complemented
22#23773025C211yesmaximal, characteristic, complemented
23#23773014C211yesmaximal, characteristic, complemented
24#23773004C211yesmaximal, characteristic, complemented
25#468×D79C211yesmaximal, characteristic, complemented
26#23772272C211yesmaximal, characteristic, complemented
27#23772256C211yesmaximal, characteristic, complemented
28#23772240C211yesmaximal, characteristic, complemented
29#23772231C211yesmaximal, characteristic, complemented
30#23771817C211yesmaximal, characteristic, complemented
31C79×#3182C211yesmaximal, characteristic, complemented
32C2×#14579190C2211yescharacteristic
33C2×#14579188C2211yescharacteristic
34C2×#14579182C2211yescharacteristic
35C2×SD16×D79C2211yescharacteristic
36C2×M16×D79C2211yescharacteristic
37C2×M16×D79C2211yescharacteristic
38#19099285—21no—
39#19099275—21no—
40#19099267—21no—
41#19099262—21no—
42#19099256—21no—
43#19099254—21no—
44#19099246—21no—
45#19099245—21no—
46#19099245—21no—
47#19099243—21no—
48#19099242—21no—
49#19099240—21no—
50#19099237—21no—
51#19099212—21no—
52#19099202—21no—
53#19099201—21no—
54#19099190C2211yescharacteristic
55#19099190C2211yescharacteristic
56#19099187C2211yescharacteristic
57#19099187C2211yescharacteristic, complemented
58#19099185C2211yescharacteristic, complemented
59#19099178C2211yescharacteristic
60#19099174C2211yescharacteristic, complemented
61#19099171C2211yescharacteristic, complemented
62#19099167C2211yescharacteristic
63#19099164C2211yescharacteristic
64#19099138C2211yescharacteristic
65#19099126C2211yescharacteristic
66#19099115C2211yescharacteristic, complemented
67#19099108C2211yescharacteristic
68#19099099C2211yescharacteristic, complemented
69#19099097C2211yescharacteristic
70#19099097C2211yescharacteristic, complemented
71#19099094C2211yescharacteristic
72#19099076C2211yescharacteristic
73#19099073C2211yescharacteristic
74C22⋊Q8×D79C2211yescharacteristic
75#121×D79C2211yescharacteristic
76#19099045C2211yescharacteristic
77#19099042C2211yescharacteristic
78#19099039C2211yescharacteristic
79#19099035C2211yescharacteristic
80C2×#14579118C2211yescharacteristic
81#19098971C2211yescharacteristic, complemented
82#19098971C2211yescharacteristic, complemented
83#19098969C2211yescharacteristic, complemented
84#19098969C2211yescharacteristic, complemented
85#19098967C2211yescharacteristic, complemented
86#19098965C2211yescharacteristic, complemented
87#19098964C2211yescharacteristic, complemented
88#19098955C2211yescharacteristic, complemented
89#19098954C2211yescharacteristic, complemented
90#19098950C2211yescharacteristic, complemented
91#19098949C2211yescharacteristic, complemented
92#19098947C2211yescharacteristic, complemented
93#19098944C2211yescharacteristic, complemented
94#19098934C2211yescharacteristic, complemented
95#19098931C2211yescharacteristic, complemented
96#19098930C2211yescharacteristic, complemented
97#19098927C2211yescharacteristic, complemented
98#19098926C2211yescharacteristic, complemented
99#19098925C2211yescharacteristic, complemented
100#19098925C2211yescharacteristic, complemented
101#19098924C2211yescharacteristic, complemented
102#19098921C2211yescharacteristic, complemented
103#19098919C2211yescharacteristic, complemented
104#19098918C2211yescharacteristic, complemented
105#19098918C2211yescharacteristic, complemented
106#19098916C2211yescharacteristic, complemented
107#19098912C2211yescharacteristic, complemented
108#19098908C2211yescharacteristic, complemented
109#19098821C2211yescharacteristic, complemented
110#19098820C2211yescharacteristic, complemented
111#19098819C2211yescharacteristic, complemented
112#19098819C2211yescharacteristic, complemented
113#19098816C2211yescharacteristic
114#19098815C2211yescharacteristic, complemented
115#19098814C2211yescharacteristic
116#19098814C2211yescharacteristic, complemented
117#19098812C2211yescharacteristic
118#19098811C2211yescharacteristic
119#19098811C2211yescharacteristic
120#19098810C2211yescharacteristic
121#19098810C2211yescharacteristic, complemented
122#19098809C2211yescharacteristic
123#19098809C2211yescharacteristic, complemented
124#19098808C2211yescharacteristic
125#19098807C2211yescharacteristic
126#19098807C2211yescharacteristic, complemented
127#19098806C2211yescharacteristic
128#19098806C2211yescharacteristic, complemented
129#19098805C2211yescharacteristic, complemented
130#19098803C2211yescharacteristic, complemented
131#19098800C2211yescharacteristic
132#19098798C2211yescharacteristic
133#19098795C2211yescharacteristic
134#19098791C2211yescharacteristic, complemented
135#19098789C2211yescharacteristic
136#19098789C2211yescharacteristic, complemented
137#19098676C2211yescharacteristic, complemented
138#19098672C2211yescharacteristic, complemented
139#19098671C2211yescharacteristic, complemented
140#19098667C2211yescharacteristic, complemented
141#19098666C2211yescharacteristic, complemented
142#19098665C2211yescharacteristic, complemented
143#19098665C2211yescharacteristic, complemented
144#19098664C2211yescharacteristic, complemented
145#19098664C2211yescharacteristic, complemented
146#19098662C2211yescharacteristic, complemented
147#19098662C2211yescharacteristic, complemented
148#19098660C2211yescharacteristic, complemented
149#19098657C2211yescharacteristic, complemented
150C4×#11929614C2211yescharacteristic, complemented
151C4×#11929614C2211yescharacteristic, complemented
152#19098655C2211yescharacteristic, complemented
153#19098654C2211yescharacteristic, complemented
154SD16×Dic79C2211yescharacteristic, complemented
155SD16×Dic79C2211yescharacteristic, complemented
156C4×#11929611C2211yescharacteristic, complemented
157C4×#11929611C2211yescharacteristic, complemented
158C4×#11929612C2211yescharacteristic, complemented
159C4×#11929612C2211yescharacteristic, complemented
160#19098648C2211yescharacteristic, complemented
161#19098645C2211yescharacteristic, complemented
162C4×#11929609C2211yescharacteristic, complemented
163C4×#11929609C2211yescharacteristic, complemented
164#19098643C2211yescharacteristic, complemented
165#19098604C2211yescharacteristic
166#19098604C2211yescharacteristic
167#19098600C2211yescharacteristic
168#107×D79C2211yescharacteristic
169#19098570C2211yescharacteristic
170#19098566C2211yescharacteristic
171#19098563C2211yescharacteristic
172#19098561C2211yescharacteristic
173#19098558C2211yescharacteristic
174#19098556C2211yescharacteristic
175#103×D79C2211yescharacteristic
176#102×D79C2211yescharacteristic
177#19098520C2211yescharacteristic
178#19098520C2211yescharacteristic
179#19098520C2211yescharacteristic, complemented
180#19098520C2211yescharacteristic, complemented
181#19098517C2211yescharacteristic
182#19098517C2211yescharacteristic
183#19098517C2211yescharacteristic, complemented
184#19098517C2211yescharacteristic, complemented
185C4×#11929608C2211yescharacteristic, complemented
186M16×Dic79C2211yescharacteristic, complemented
187M16×Dic79C2211yescharacteristic, complemented
188#533×C79C2211yescharacteristic, complemented
189#532×C79C2211yescharacteristic
190#500×C79C2211yescharacteristic, complemented
191#492×C79C2211yescharacteristic, complemented
192#487×C79C2211yescharacteristic, complemented
193#486×C79C2211yescharacteristic, complemented
194#468×C79C2211yescharacteristic
195#468×C79C2211yescharacteristic
196#468×C79C2211yescharacteristic, complemented
197#468×C79C2211yescharacteristic, complemented
198#440×C79C2211yescharacteristic, complemented
199#440×C79C2211yescharacteristic, complemented
200#440×C79C2211yescharacteristic, complemented
201#440×C79C2211yescharacteristic, complemented
202C4×M16×C79C2211yescharacteristic, complemented
203C2×#11929625C2311yescharacteristic
204C2×#11929623—21no—
205C2×#11929623C2311yescharacteristic
206C2×Q8×D79C2311yescharacteristic
207C2×D4×D79—21no—
208C2×D4×D79C2311yescharacteristic
209C22×C4×D79C2311yescharacteristic
210#14579190—24no—
211#14579188—24no—
212#14579182—24no—
213C2×Dic316C2311yescharacteristic
214C2×#11929614C2311yescharacteristic
215C2×#11929614C2311yescharacteristic
216C2×#11929613C2311yescharacteristic
217C2×#11929613C2311yescharacteristic
218C2×#11929612C2311yescharacteristic
219C2×#11929612C2311yescharacteristic
220C2×#11929611C2311yescharacteristic
221C2×#11929611C2311yescharacteristic
222SD16×D79—24no—
223C2×D632C2311yescharacteristic
224C2×#11929609C2311yescharacteristic
225C2×#11929609C2311yescharacteristic
226C2×#11929608C2311yescharacteristic
227C2×#11929608C2311yescharacteristic
228C2×#11929607C2311yescharacteristic
229C2×#11929607C2311yescharacteristic
230C2×#11929607C2311yescharacteristic
231C2×#11929607C2311yescharacteristic
232M16×D79—24no—
233M16×D79—24no—
234C2×C8×D79C2311yescharacteristic
235C2×C8×D79C2311yescharacteristic
236C2×C8×D79C2311yescharacteristic
237C2×C8×D79C2311yescharacteristic
238#14579160C2311yescharacteristic
239#14579160C2311yescharacteristic
240#14579159—21no—
241#14579159—21no—
242#14579159C2311yescharacteristic
243#14579157C2311yescharacteristic
244#14579156—21no—
245#14579156—21no—
246#14579156—21no—
247#14579156—21no—
248#14579156—21no—
249#14579156—21no—
250#14579155—21no—
251#14579155—21no—
252#14579155—21no—
253#14579155—21no—
254#14579154—21no—
255#14579154—21no—
256#14579153—21no—
257#14579153C2311yescharacteristic
258#14579153C2311yescharacteristic
259#14579152C2311yescharacteristic
260#14579152C2311yescharacteristic
261#14579151—21no—
262#14579151—21no—
263#14579151—21no—
264#14579151—21no—
265#14579151—21no—
266#14579151—21no—
267#14579150—21no—
268#14579150—21no—
269#14579150C2311yescharacteristic
270#14579149—21no—
271#14579149C2311yescharacteristic
272#14579149C2311yescharacteristic
273#14579148C2311yescharacteristic
274#14579147—21no—
275#14579147—21no—
276#14579146—21no—
277#14579146—21no—
278#14579146—21no—
279#14579146—21no—
280#14579146—21no—
281#14579146—21no—
282#14579145—21no—
283#14579144—21no—
284#14579144—21no—
285#14579144—21no—
286#14579144—21no—
287#14579143—21no—
288#14579143—21no—
289#14579142—21no—
290#14579142—21no—
291#14579142—21no—
292#14579141C2311yescharacteristic
293#14579141C2311yescharacteristic
294#14579140—21no—
295#14579140C2311yescharacteristic
296#14579140C2311yescharacteristic
297#14579139—21no—
298#14579139—21no—
299#14579139—21no—
300#14579139—21no—
301#14579139—21no—
302#14579139—21no—
303#14579138—21no—
304#14579138—21no—
305#14579137—21no—
306#14579137—21no—
307#14579137—21no—
308#14579137—21no—
309#14579137C2311yescharacteristic
310#14579137C2311yescharacteristic
311#14579136C2311yescharacteristic
312#14579136C2311yescharacteristic
313#14579135—21no—
314#14579135C2311yescharacteristic
315#14579135C2311yescharacteristic
316#14579134—21no—
317#14579134—21no—
318#14579133—21no—
319#14579133—21no—
320#14579133—21no—
321#14579133—21no—
322#14579133—21no—
323#14579133—21no—
324#14579132C2311yescharacteristic
325#14579132C2311yescharacteristic
326#14579131—21no—
327#14579129—21no—
328#14579129—21no—
329#14579129—21no—
330Q8×Dic79C2311yescharacteristic
331Q8×Dic79C2311yescharacteristic
332C4×Dic158—21no—
333C4×Dic158C2311yescharacteristic
334C4×Dic158C2311yescharacteristic
335#14579126—21no—
336#14579126—21no—
337#14579126C2311yescharacteristic
338#14579126C2311yescharacteristic
339C4×D316—21no—
340C4×D316C2311yescharacteristic
341C4×D316C2311yescharacteristic
342D4×Dic79—21no—
343D4×Dic79—21no—
344D4×Dic79C2311yescharacteristic
345D4×Dic79C2311yescharacteristic
346#14579123—21no—
347#14579123—21no—
348#14579123C2311yescharacteristic
349#14579123C2311yescharacteristic
350C4×C22⋊D79—21no—
351C4×C22⋊D79—21no—
352C4×C22⋊D79—21no—
353C4×C22⋊D79—21no—
354(C22⋊D79)⋊C4—21no—
355(C22⋊D79)⋊C4—21no—
356(C22⋊D79)⋊C4—21no—
357(C22⋊D79)⋊C4—21no—
358(C22⋊D79)⋊C4—21no—
359(C22⋊D79)⋊C4—21no—
360#14579119—21no—
361#14579119—21no—
362#14579119C2311yescharacteristic
363#14579119C2311yescharacteristic
364#14579118—21no—
365#14579118—21no—
366#14579118—21no—
367#14579118—21no—
368#14579118D411yescharacteristic
369#14579118D411yescharacteristic
370#14579118D411yescharacteristic
371#14579118D411yescharacteristic
372#14579118C2311yescharacteristic
373#14579118C2311yescharacteristic
374#14579118C2311yescharacteristic
375#14579118C2311yescharacteristic
376#14579117—21no—
377#14579117—21no—
378#14579117—21no—
379C2×Dic79⋊C4—21no—
380C2×Dic79⋊C4D411yescharacteristic
381C2×Dic79⋊C4D411yescharacteristic
382C4⋊C4×D79—21no—
383C4⋊C4×D79—21no—
384C4⋊C4×D79C2311yescharacteristic
385C4⋊C4×D79C2311yescharacteristic
386C2×(C2×D79)⋊C4—21no—
387C2×(C2×D79)⋊C4D411yescharacteristic
388C2×(C2×D79)⋊C4D411yescharacteristic
389C22⋊C4×D79—21no—
390C22⋊C4×D79—21no—
391C22⋊C4×D79—21no—
392C2×C4×Dic79C2311yescharacteristic
393#14579095C2311yescharacteristic
394#14579095C2311yescharacteristic
395#14579094C2311yescharacteristic
396#14579094C2311yescharacteristic
397#14579094C2311yescharacteristic
398#14579094C2311yescharacteristic
399#14579093C2311yescharacteristic
400#14579093C2311yescharacteristic
401#14579092C2311yescharacteristic
402#14579092C2311yescharacteristic
403#14579092C2311yescharacteristic
404#14579092C2311yescharacteristic
405#14579086C2311yescharacteristic
406#14579086C2311yescharacteristic
407#14579086C2311yescharacteristic
408#14579086C2311yescharacteristic
409#14579085C2311yescharacteristic
410#14579085C2311yescharacteristic
411#14579085C2311yescharacteristic
412#14579085C2311yescharacteristic
413#14579084C2311yescharacteristic
414#14579084C2311yescharacteristic
415#14579084C2311yescharacteristic
416#14579084C2311yescharacteristic
417#14579083C2311yescharacteristic
418#14579083C2311yescharacteristic
419#14579083C2311yescharacteristic
420#14579083C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579081C2311yescharacteristic
426#14579081C2311yescharacteristic
427#14579081C2311yescharacteristic
428#14579081C2311yescharacteristic
429#14579072C2311yescharacteristic
430#14579072C2311yescharacteristic
431#14579071C2311yescharacteristic
432#14579071C2311yescharacteristic
433#14579071C2311yescharacteristic
434#14579071C2311yescharacteristic
435C4×C79⋊C8C2311yescharacteristic
436C4×C79⋊C8C2311yescharacteristic
437C8×Dic79C2311yescharacteristic
438C8×Dic79C2311yescharacteristic
439C8×Dic79C2311yescharacteristic
440C8×Dic79C2311yescharacteristic
441C2×#41×C79—21no—
442C2×SD16×C79C2311yescharacteristic
443C2×SD16×C79C2311yescharacteristic
444C2×SD16×C79C2311yescharacteristic
445C2×SD16×C79C2311yescharacteristic
446C2×M16×C79C2311yescharacteristic
447C2×M16×C79C2311yescharacteristic
448C4⋊Q8×C79C2311yescharacteristic
449C4⋊Q8×C79C2311yescharacteristic
450C4⋊Q8×C79C2311yescharacteristic
451#127×C79C2311yescharacteristic
452#125×C79—21no—
453#124×C79—21no—
454C22⋊Q8×C79—21no—
455C22⋊Q8×C79C2311yescharacteristic
456C22⋊Q8×C79C2311yescharacteristic
457#121×C79—21no—
458#121×C79C2311yescharacteristic
459#121×C79C2311yescharacteristic
460C4×Q8×C79—21no—
461C4×Q8×C79C2311yescharacteristic
462C4×Q8×C79C2311yescharacteristic
463C4×D4×C79—21no—
464C4×D4×C79C2311yescharacteristic
465C4×D4×C79C2311yescharacteristic
466#117×C79—21no—
467C2×C42×C79C2311yescharacteristic
468#107×C79C2311yescharacteristic
469#107×C79C2311yescharacteristic
470#107×C79C2311yescharacteristic
471#107×C79C2311yescharacteristic
472#103×C79C2311yescharacteristic
473#103×C79C2311yescharacteristic
474#103×C79C2311yescharacteristic
475#103×C79C2311yescharacteristic
476#102×C79C2311yescharacteristic
477#102×C79C2311yescharacteristic
478#102×C79C2311yescharacteristic
479#102×C79C2311yescharacteristic
480#97×C79C2311yescharacteristic
481#97×C79C2311yescharacteristic
482C4×C8×C79C2311yescharacteristic
483C4×C8×C79C2311yescharacteristic
484C23×D79—21no—
485C23×D79C2×D411yescharacteristic
486#11929625—22no—
487#11929625—22no—
488#11929623—22no—
489#11929623—22no—
490#11929623—82no—
491C2×Dic158—21no—
492C2×Dic158—21no—
493C2×Dic158—21no—
494C2×Dic158C2411yescharacteristic
495C2×Dic158C2411yescharacteristic
496Q8×D79—22no—
497Q8×D79—22no—
498C2×D316—21no—
499C2×D316—21no—
500C2×D316—21no—
501C2×D316C2411yescharacteristic
502C2×D316C2411yescharacteristic
503C2×C22⋊D79—21no—
504C2×C22⋊D79—21no—
505C2×C22⋊D79—21no—
506C2×C22⋊D79—21no—
507C2×C22⋊D79—21no—
508C2×C22⋊D79—21no—
509C2×C22⋊D79—21no—
510C2×C22⋊D79—21no—
511D4×D79—22no—
512D4×D79—22no—
513D4×D79—82no—
514C22×Dic79—21no—
515C22×Dic79—21no—
516C22×Dic79—21no—
517C22×Dic79C2×D411yescharacteristic
518C22×Dic79C2×D411yescharacteristic
519C22×Dic79C2×D411yescharacteristic
520C2×C4×D79—22no—
521C2×C4×D79—22no—
522C2×C4×D79—21no—
523C2×C4×D79—21no—
524C2×C4×D79—21no—
525C2×C4×D79—21no—
526C2×C4×D79—21no—
527C2×C4×D79—21no—
528C2×C4×D79—21no—
529C2×C4×D79—21no—
530C2×C4×D79C2×D411yescharacteristic
531C2×C4×D79C2×D411yescharacteristic
532C2×C4×D79C2411yescharacteristic
533C2×C4×D79C2411yescharacteristic
534Dic316—22no—
535#11929614—22no—
536#11929614—22no—
537#11929613—22no—
538#11929613—22no—
539#11929612—22no—
540#11929612—22no—
541#11929611—22no—
542#11929611—22no—
543D632—22no—
544#11929609—22no—
545#11929609—22no—
546#11929608—22no—
547#11929608—22no—
548#11929607—22no—
549#11929607—22no—
550#11929607—22no—
551#11929607#4114yescomplemented
552C2×C79⋊C8C2411yescharacteristic
553C2×C79⋊C8C2411yescharacteristic
554C2×C79⋊C8C2411yescharacteristic
555C2×C79⋊C8C2411yescharacteristic
556C8×D79—22no—
557C8×D79—22no—
558C8×D79—22no—
559C8×D79#4114yescomplemented
560C4⋊Dic79—21no—
561C4⋊Dic79—21no—
562C4⋊Dic79—21no—
563C4⋊Dic79—21no—
564C4⋊Dic79—21no—
565C4⋊Dic79—21no—
566C4⋊Dic79C2411yescharacteristic
567C4⋊Dic79C2411yescharacteristic
568C4⋊Dic79C2411yescharacteristic
569C4⋊Dic79C2411yescharacteristic
570Dic79⋊C4—21no—
571Dic79⋊C4—21no—
572Dic79⋊C4—21no—
573Dic79⋊C4—21no—
574Dic79⋊C4—21no—
575Dic79⋊C4—21no—
576Dic79⋊C4—21no—
577Dic79⋊C4—21no—
578Dic79⋊C4—21no—
579Dic79⋊C4—21no—
580Dic79⋊C4—21no—
581Dic79⋊C4—21no—
582Dic79⋊C4—21no—
583Dic79⋊C4—21no—
584Dic79⋊C4—21no—
585Dic79⋊C4—21no—
586Dic79⋊C4—21no—
587Dic79⋊C4—21no—
588Dic79⋊C4—21no—
589Dic79⋊C4—21no—
590Dic79⋊C4C2×D411yescharacteristic
591Dic79⋊C4C2×D411yescharacteristic
592Dic79⋊C4C2×D411yescharacteristic
593Dic79⋊C4C2×D411yescharacteristic
594Dic79⋊C4C2×D411yescharacteristic
595Dic79⋊C4C2×D411yescharacteristic
596Dic79⋊C4C2×D411yescharacteristic
597Dic79⋊C4C2×D411yescharacteristic
598C22⋊Dic79—21no—
599C22⋊Dic79—21no—
600C22⋊Dic79—21no—
601C22⋊Dic79—21no—
602C22⋊Dic79—21no—
603C22⋊Dic79—21no—
604C22⋊Dic79—21no—
605C22⋊Dic79—21no—
606(C2×D79)⋊C4—21no—
607(C2×D79)⋊C4—21no—
608(C2×D79)⋊C4—21no—
609(C2×D79)⋊C4—21no—
610(C2×D79)⋊C4—21no—
611(C2×D79)⋊C4—21no—
612(C2×D79)⋊C4—21no—
613(C2×D79)⋊C4—21no—
614(C2×D79)⋊C4—21no—
615(C2×D79)⋊C4—21no—
616(C2×D79)⋊C4—21no—
617(C2×D79)⋊C4—21no—
618(C2×D79)⋊C4—21no—
619(C2×D79)⋊C4—21no—
620(C2×D79)⋊C4—21no—
621(C2×D79)⋊C4—21no—
622(C2×D79)⋊C4—21no—
623(C2×D79)⋊C4—21no—
624(C2×D79)⋊C4—21no—
625(C2×D79)⋊C4—21no—
626(C2×D79)⋊C4C2×D411yescharacteristic
627(C2×D79)⋊C4C2×D411yescharacteristic
628(C2×D79)⋊C4C2×D411yescharacteristic
629(C2×D79)⋊C4C2×D411yescharacteristic
630(C2×D79)⋊C4C2×D411yescharacteristic
631(C2×D79)⋊C4C2×D411yescharacteristic
632(C2×D79)⋊C4C2×D411yescharacteristic
633(C2×D79)⋊C4C2×D411yescharacteristic
634C4×Dic79—21no—
635C4×Dic79—21no—
636C4×Dic79—21no—
637C4×Dic79—21no—
638C4×Dic79—21no—
639C4×Dic79—21no—
640C4×Dic79—21no—
641C4×Dic79—21no—
642C4×Dic79C2×D411yescharacteristic
643C4×Dic79C2×D411yescharacteristic
644C4×Dic79C2411yescharacteristic
645C4×Dic79C2411yescharacteristic
646#41×C79—82no—
647C2×Q8×C79—21no—
648C2×Q8×C79—21no—
649C2×Q8×C79C2411yescharacteristic
650C2×Q8×C79C2411yescharacteristic
651C2×D4×C79—21no—
652C2×D4×C79—21no—
653C2×D4×C79—21no—
654C2×D4×C79—21no—
655C2×D4×C79C2411yescharacteristic
656C2×D4×C79C2411yescharacteristic
657C22×C4×C79—21no—
658C22×C4×C79—21no—
659C22×C4×C79C2×D411yescharacteristic
660C22×C4×C79C2×D411yescharacteristic
661C22×C4×C79C2411yescharacteristic
662SD16×C79—22no—
663SD16×C79—22no—
664SD16×C79—22no—
665SD16×C79—22no—
666M16×C79—22no—
667M16×C79—22no—
668C2×C8×C79C2411yescharacteristic
669C2×C8×C79C2411yescharacteristic
670C2×C8×C79C2411yescharacteristic
671C2×C8×C79C2411yescharacteristic
672C4⋊C4×C79—21no—
673C4⋊C4×C79—21no—
674C4⋊C4×C79—21no—
675C4⋊C4×C79—21no—
676C4⋊C4×C79—21no—
677C4⋊C4×C79—21no—
678C4⋊C4×C79—21no—
679C4⋊C4×C79—21no—
680C4⋊C4×C79C2411yescharacteristic
681C4⋊C4×C79C2411yescharacteristic
682C4⋊C4×C79C2411yescharacteristic
683C4⋊C4×C79C2411yescharacteristic
684C22⋊C4×C79—21no—
685C22⋊C4×C79—21no—
686C22⋊C4×C79—21no—
687C22⋊C4×C79—21no—
688C22⋊C4×C79—21no—
689C22⋊C4×C79—21no—
690C42×C79—21no—
691C42×C79—21no—
692C42×C79C2×D411yescharacteristic
693C42×C79C2×D411yescharacteristic
694C42×C79C2411yescharacteristic
695C42×C79C2411yescharacteristic
696C23×C79—21no—
697C23×C79—21no—
698C23×C79C22×D411yescharacteristic
699C22×D79—22no—
700C22×D79—21no—
701C22×D79—21no—
702C22×D79—41no—
703C22×D79—41no—
704C22×D79—42no—
705C22×D79—81no—
706C22×D79—81no—
707C22×D79C22×D411yescharacteristic
708C22×D79C22×D411yescharacteristic
709Q8×C79—21no—
710Q8×C79—21no—
711Q8×C79—21no—
712Q8×C79—21no—
713Q8×C79—81no—
714Q8×C79—81no—
715D4×C79—21no—
716D4×C79—21no—
717D4×C79—21no—
718D4×C79—21no—
719D4×C79—42no—
720D4×C79—42no—
721D4×C79—81no—
722D4×C79—81no—
723C2×C4×C79—21no—
724C2×C4×C79—21no—
725C2×C4×C79—21no—
726C2×C4×C79—21no—
727C2×C4×C79—21no—
728C2×C4×C79—21no—
729C2×C4×C79—21no—
730C2×C4×C79—21no—
731C2×C4×C79—41no—
732C2×C4×C79—41no—
733C2×C4×C79—81no—
734C2×C4×C79—81no—
735C2×C4×C79C22×D411yescharacteristic
736C2×C4×C79C22×D411yescharacteristic
737C2×C4×C79C22×D411yescharacteristic
738C2×C4×C79C22×D411yescharacteristic
739C2×C4×C79C22×D411yescharacteristic
740C2×C4×C79C2511yescharacteristic
741C22⋊D79—42no—
742C22⋊D79—42no—
743C22⋊D79—42no—
744C22⋊D79—42no—
745C22⋊D79—81no—
746C22⋊D79—81no—
747C22⋊D79—81no—
748C22⋊D79—81no—
749C2×Dic79—22no—
750C2×Dic79—21no—
751C2×Dic79—21no—
752C2×Dic79—21no—
753C2×Dic79—21no—
754C2×Dic79—21no—
755C2×Dic79—21no—
756C2×Dic79—41no—
757C2×Dic79—41no—
758C2×Dic79—42no—
759C2×Dic79—81no—
760C2×Dic79—81no—
761C2×Dic79C22×D411yescharacteristic
762C2×Dic79C22×D411yescharacteristic
763C2×Dic79C22×D411yescharacteristic
764C2×Dic79C22×D411yescharacteristic
765C2×Dic79C22×D411yescharacteristic
766C2×Dic79C22×D411yescharacteristic
767D316—21no—
768D316—21no—
769D316—21no—
770D316—21no—
771D316—42no—
772D316—81no—
773D316—81no—
774C4×D79—22no—
775C4×D79—21no—
776C4×D79—21no—
777C4×D79—22no—
778C4×D79—42no—
779C4×D79—42no—
780C4×D79—81no—
781C4×D79—81no—
782C4×D79—81no—
783C4×D79—81no—
784C4×D79—81no—
785C4×D79—81no—
786C4×D79C2×#4112yes—
787C4×D79C2×#4112yes—
788Dic158—21no—
789Dic158—21no—
790Dic158—21no—
791Dic158—21no—
792Dic158—42no—
793Dic158—81no—
794Dic158—81no—
795C8×C79—21no—
796C8×C79—21no—
797C8×C79C2×#4112yes—
798C8×C79C2×#4112yes—
799C79⋊C8—21no—
800C79⋊C8—21no—
801C79⋊C8C2×#4112yes—
802C79⋊C8C2×#4112yes—
803C22×C79—21no—
804C22×C79—21no—
805C22×C79—21no—
806C22×C79—41no—
807C22×C79—41no—
808C22×C79—41no—
809C22×C79—41no—
810C22×C79—41no—
811C22×C79—41no—
812C22×C79C23×D411yescharacteristic
813C2×D79—21no—
814C2×D79—21no—
815C2×D79—21no—
816C2×D79—21no—
817C2×D79—21no—
818C2×D79—41no—
819C2×D79—41no—
820C2×D79—41no—
821C2×D79—41no—
822C2×D79—41no—
823C2×D79—41no—
824C2×D79—82no—
825C2×D79—162no—
826C2×D79#53212yes—
827C4×C79—21no—
828C4×C79—21no—
829C4×C79—21no—
830C4×C79—21no—
831C4×C79—21no—
832C4×C79—41no—
833C4×C79—41no—
834C4×C79—41no—
835C4×C79—41no—
836C4×C79—41no—
837C4×C79—41no—
838C4×C79C22×#4111yescharacteristic
839C4×C79C22×#4111yescharacteristic
840Dic79—21no—
841Dic79—21no—
842Dic79—21no—
843Dic79—21no—
844Dic79—21no—
845Dic79—41no—
846Dic79—41no—
847Dic79—41no—
848Dic79—41no—
849Dic79—41no—
850Dic79—41no—
851Dic79#53212yes—
852#60709—791nomaximal, Sylow
853C2×C79—41no—
854C2×C79—81no—
855C2×C79—81no—
856C2×C79C2×#53211yescharacteristic
857C2×C79#358511yescharacteristic
858C2×C79#358611yescharacteristic
859D79—22no—
860D79—41no—
861D79—81no—
862D79—81no—
863#3495—791no—
864#3494—791no—
865#3183—791no—
866#3183—791no—
867#3182—791no—
868#3182D7911yescharacteristic, complemented
869#3179—791no—
870#3179—791no—
871#3178—791no—
872#3178—791no—
873#3175—791no—
874#3175—791no—
875#3174—791no—
876#3174—791no—
877#3172—791no—
878#3172—791no—
879#3171—791no—
880#3171—791no—
881#3164—791no—
882#3154—791no—
883#3137—791no—
884#3136—791no—
885#3056—791no—
886#3055—791no—
887#3054—791no—
888C2×#468—791no—
889#2951—791no—
890#2949—791no—
891#2947—791no—
892#2946—791no—
893#2873—791no—
894C79#6070911yescharacteristic, complemented, Sylow
895C2×#137—791no—
896C2×AGL(1,ℤ/8)—791no—
897C2×#135—791no—
898C22×SD16—791no—
899C22×M16—791no—
900C22×M16—791no—
901#556—1581no—
902#555—1581no—
903#554—1581no—
904#553—1581no—
905#553—1581no—
906#552—1581no—
907#552—1581no—
908#552—1581no—
909#552—1581no—
910#551—1581no—
911#551—1581no—
912#551—1581no—
913#551—1581no—
914#547—1581no—
915#546—1581no—
916#546—1581no—
917#544—791no—
918#544—791no—
919#542—791no—
920#542—791no—
921#542—791no—
922#542—791no—
923#541—791no—
924#541—791no—
925#540—791no—
926#540—791no—
927#536—791no—
928#535—791no—
929#533—791no—
930#533C2×D7911yescharacteristic, complemented
931#532—791no—
932#532C2×D7911yescharacteristic
933#529—791no—
934#529—791no—
935#529—791no—
936#529—791no—
937#525—791no—
938#525—791no—
939C2×C22⋊Q8—791no—
940C2×#121—791no—
941#520—791no—
942#520—791no—
943#519—791no—
944#518—791no—
945C2×#117—791no—
946#501—791no—
947#501—791no—
948#501—791no—
949#501—791no—
950#500—791no—
951#500C2×D7911yescharacteristic, complemented
952#499—791no—
953#499—791no—
954#497—791no—
955#497—791no—
956#496—791no—
957#496—791no—
958#495—791no—
959#495—791no—
960#492—791no—
961#492C2×D7911yescharacteristic, complemented
962#491—791no—
963#491—791no—
964#490—791no—
965#490—791no—
966#489—791no—
967#489—791no—
968#489—791no—
969#489—791no—
970#488—791no—
971#488—791no—
972#488—791no—
973#488—791no—
974#487—791no—
975#487C2×D7911yescharacteristic, complemented
976#486—791no—
977#486C2×D7911yescharacteristic, complemented
978#470—791no—
979#470—791no—
980#470—791no—
981#470—791no—
982#469—791no—
983#469—791no—
984#469—791no—
985#469—791no—
986#468—791no—
987#468—791no—
988#468—791no—
989#468—791no—
990#468—791no—
991#468—791no—
992#468—791no—
993#468—791no—
994#468—791no—
995#468—791no—
996#468—791no—
997#468—791no—
998#468C2×D7911yescharacteristic
999#468C2×D7911yescharacteristic
1000#468C2×D7911yescharacteristic, complemented
1001#468C2×D7911yescharacteristic, complemented
1002#467—791no—
1003#467—791no—
1004#466—791no—
1005#466—791no—
1006#465—791no—
1007#465—791no—
1008#465—791no—
1009#465—791no—
1010#442—791no—
1011#442—791no—
1012#441—791no—
1013#441—791no—
1014#440—791no—
1015#440—791no—
1016#440—791no—
1017#440—791no—
1018#440—791no—
1019#440—791no—
1020#440—791no—
1021#440—791no—
1022#440C2×D7911yescharacteristic, complemented
1023#440C2×D7911yescharacteristic, complemented
1024#440C2×D7911yescharacteristic, complemented
1025#440C2×D7911yescharacteristic, complemented
1026C4×Q16—791no—
1027C4×Q16—791no—
1028C4×Q16—791no—
1029C4×Q16—791no—
1030C4×SD16—791no—
1031C4×SD16—791no—
1032C4×SD16—791no—
1033C4×SD16—791no—
1034C4×SD16—791no—
1035C4×SD16—791no—
1036C4×SD16—791no—
1037C4×SD16—791no—
1038C4×D8—791no—
1039C4×D8—791no—
1040C4×D8—791no—
1041C4×D8—791no—
1042#428—791no—
1043#428—791no—
1044#427—791no—
1045C2×#107—791no—
1046#419—791no—
1047#418—791no—
1048#417—791no—
1049#417—791no—
1050#416—791no—
1051#416—791no—
1052C2×#103—791no—
1053C2×#102—791no—
1054#405—791no—
1055#405—791no—
1056#405—791no—
1057#405—791no—
1058#405—791no—
1059#405—791no—
1060#405—791no—
1061#405—791no—
1062C4×M16—791no—
1063C4×M16—791no—
1064C4×M16—791no—
1065C4×M16C2×D7911yescharacteristic, complemented
1066C2×#41—21no—
1067C2×#41—791no—
1068C2×#41—791no—
1069C2×#41—1581no—
1070C22×Q8—791no—
1071C22×D4—791no—
1072C22×D4—1581no—
1073C23×C4—791no—
1074#137—1584no—
1075AGL(1,ℤ/8)—1584no—
1076#135—1584no—
1077C2×Q16—791no—
1078C2×Q16—791no—
1079C2×Q16—791no—
1080C2×SD16—791no—
1081C2×SD16—791no—
1082C2×SD16—791no—
1083C2×SD16—791no—
1084C2×SD16—791no—
1085C2×SD16—791no—
1086C2×SD16—1584no—
1087C2×SD16C22×D7911yescharacteristic
1088C2×SD16C22×D7911yescharacteristic
1089C2×SD16C22×D7911yescharacteristic
1090C2×SD16C22×D7911yescharacteristic
1091C2×D8—791no—
1092C2×D8—791no—
1093C2×D8—791no—
1094C2×M16—791no—
1095C2×M16—791no—
1096C2×M16—791no—
1097C2×M16—791no—
1098C2×M16—791no—
1099C2×M16—791no—
1100C2×M16—1584no—
1101C2×M16—1584no—
1102C2×M16C22×D7911yescharacteristic
1103C2×M16C22×D7911yescharacteristic
1104C22×C8—791no—
1105C22×C8—791no—
1106C22×C8—791no—
1107C22×C8—791no—
1108C4⋊Q8—791no—
1109C4⋊Q8—791no—
1110C4⋊Q8—791no—
1111C4⋊Q8—1581no—
1112C4⋊Q8—1581no—
1113C4⋊Q8C22×D7911yescharacteristic
1114C4⋊Q8C22×D7911yescharacteristic
1115C4⋊Q8C22×D7911yescharacteristic
1116#127—791no—
1117#127C22×D7911yescharacteristic
1118#126—1581no—
1119#126—1581no—
1120#126—1581no—
1121#126—1581no—
1122#126—1581no—
1123#126—1581no—
1124#126—1581no—
1125#126—1581no—
1126#126—1581no—
1127#126—1581no—
1128#126—1581no—
1129#126—1581no—
1130#125—21no—
1131#125—791no—
1132#125—791no—
1133#125—791no—
1134#125—791no—
1135#125—1581no—
1136#125—1581no—
1137#125—1581no—
1138#125—1581no—
1139#125—1581no—
1140#125—1581no—
1141#125—1581no—
1142#124—21no—
1143#124—791no—
1144#124—791no—
1145#124—791no—
1146#124—791no—
1147#124—1581no—
1148#124—1581no—
1149#124—1581no—
1150#124—1581no—
1151#124—1581no—
1152#123—1581no—
1153#123—1581no—
1154#123—1581no—
1155#123—1581no—
1156#123—1581no—
1157#123—1581no—
1158#123—1581no—
1159#123—1581no—
1160#123—1581no—
1161#123—1581no—
1162#123—1581no—
1163#123—1581no—
1164#123—1581no—
1165#123—1581no—
1166#123—1581no—
1167#123—1581no—
1168C22⋊Q8—21no—
1169C22⋊Q8—791no—
1170C22⋊Q8—791no—
1171C22⋊Q8—791no—
1172C22⋊Q8—791no—
1173C22⋊Q8—791no—
1174C22⋊Q8—791no—
1175C22⋊Q8—1581no—
1176C22⋊Q8—1581no—
1177C22⋊Q8—1581no—
1178C22⋊Q8—1581no—
1179C22⋊Q8—1581no—
1180C22⋊Q8—1581no—
1181C22⋊Q8—1581no—
1182C22⋊Q8—1581no—
1183C22⋊Q8—1581no—
1184C22⋊Q8—1581no—
1185C22⋊Q8—1581no—
1186C22⋊Q8—1581no—
1187C22⋊Q8—1581no—
1188C22⋊Q8C22×D7911yescharacteristic
1189C22⋊Q8C22×D7911yescharacteristic
1190#121—21no—
1191#121—791no—
1192#121—791no—
1193#121—791no—
1194#121—791no—
1195#121—791no—
1196#121—791no—
1197#121—1581no—
1198#121—1581no—
1199#121—1581no—
1200#121—1581no—
1201#121—1581no—
1202#121—1581no—
1203#121—1581no—
1204#121—1581no—
1205#121—1581no—
1206#121C22×D7911yescharacteristic
1207#121C22×D7911yescharacteristic
1208#120—1581no—
1209#120—1581no—
1210#120—1581no—
1211#120—1581no—
1212C4×Q8—21no—
1213C4×Q8—791no—
1214C4×Q8—791no—
1215C4×Q8—791no—
1216C4×Q8—791no—
1217C4×Q8—791no—
1218C4×Q8—791no—
1219C4×Q8—1581no—
1220C4×Q8—1581no—
1221C4×Q8—1581no—
1222C4×Q8C22×D7911yescharacteristic
1223C4×Q8C22×D7911yescharacteristic
1224C4×D4—21no—
1225C4×D4—791no—
1226C4×D4—791no—
1227C4×D4—791no—
1228C4×D4—791no—
1229C4×D4—791no—
1230C4×D4—791no—
1231C4×D4—1581no—
1232C4×D4—1581no—
1233C4×D4—1581no—
1234C4×D4—1581no—
1235C4×D4—1581no—
1236C4×D4—1581no—
1237C4×D4—1581no—
1238C4×D4—1581no—
1239C4×D4—1581no—
1240C4×D4—1581no—
1241C4×D4—1581no—
1242C4×D4—1581no—
1243C4×D4—1581no—
1244C4×D4—1581no—
1245C4×D4—1581no—
1246C4×D4C22×D7911yescharacteristic
1247C4×D4C22×D7911yescharacteristic
1248#117—21no—
1249#117—791no—
1250#117—791no—
1251#117—791no—
1252#117—791no—
1253#117—791no—
1254#117—791no—
1255#117—791no—
1256#117—791no—
1257#117—791no—
1258#117—791no—
1259#117—1581no—
1260#117—1581no—
1261#117—1581no—
1262#117—1581no—
1263#117—1581no—
1264#117—1581no—
1265#117—1581no—
1266#117—1581no—
1267#117—1581no—
1268C2×C4⋊C4—791no—
1269C2×C4⋊C4—791no—
1270C2×C4⋊C4—791no—
1271C2×C4⋊C4—791no—
1272C2×C4⋊C4—1581no—
1273C2×C4⋊C4—1581no—
1274C2×C4⋊C4—1581no—
1275C2×C22⋊C4—791no—
1276C2×C22⋊C4—791no—
1277C2×C22⋊C4—1581no—
1278C2×C22⋊C4—1581no—
1279C2×C22⋊C4—1581no—
1280C2×C22⋊C4—1581no—
1281C2×C42—791no—
1282C2×C42C22×D7911yescharacteristic
1283#107—791no—
1284#107—791no—
1285#107—791no—
1286#107—791no—
1287#107—791no—
1288#107—791no—
1289#107C22×D7911yescharacteristic
1290#107C22×D7911yescharacteristic
1291#107C22×D7911yescharacteristic
1292#107C22×D7911yescharacteristic
1293#106—791no—
1294#106—791no—
1295#106—791no—
1296#106—791no—
1297#106—791no—
1298#106—791no—
1299#103—791no—
1300#103—791no—
1301#103—791no—
1302#103—791no—
1303#103—791no—
1304#103—791no—
1305#103—791no—
1306#103—791no—
1307#103—791no—
1308#103—791no—
1309#103—791no—
1310#103—791no—
1311#103C22×D7911yescharacteristic
1312#103C22×D7911yescharacteristic
1313#103C22×D7911yescharacteristic
1314#103C22×D7911yescharacteristic
1315#102—791no—
1316#102—791no—
1317#102—791no—
1318#102—791no—
1319#102—791no—
1320#102—791no—
1321#102—791no—
1322#102—791no—
1323#102—791no—
1324#102—791no—
1325#102—791no—
1326#102—791no—
1327#102C22×D7911yescharacteristic
1328#102C22×D7911yescharacteristic
1329#102C22×D7911yescharacteristic
1330#102C22×D7911yescharacteristic
1331#97—791no—
1332#97—791no—
1333#97—791no—
1334#97—791no—
1335#97—791no—
1336#97—791no—
1337#97C22×D7911yescharacteristic
1338#97C22×D7911yescharacteristic
1339C4×C8—791no—
1340C4×C8—791no—
1341C4×C8—791no—
1342C4×C8—791no—
1343C4×C8—791no—
1344C4×C8—791no—
1345C4×C8C22×D7911yescharacteristic
1346C4×C8C22×D7911yescharacteristic
1347C24—791no—
1348C24—1581no—
1349#41—82no—
1350#41—6322no—
1351#41—1582no—
1352#41—1582no—
1353#41—1582no—
1354#41—1582no—
1355C2×Q8—21no—
1356C2×Q8—21no—
1357C2×Q8—791no—
1358C2×Q8—791no—
1359C2×Q8—1581no—
1360C2×Q8—1581no—
1361C2×Q8—1581no—
1362C2×Q8—1582no—
1363C2×Q8—1582no—
1364C2×Q8C23×D7911yescharacteristic
1365C2×Q8C23×D7911yescharacteristic
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—791no—
1371C2×D4—791no—
1372C2×D4—6322no—
1373C2×D4—1581no—
1374C2×D4—1581no—
1375C2×D4—1581no—
1376C2×D4—1582no—
1377C2×D4—1582no—
1378C2×D4—1581no—
1379C2×D4—1581no—
1380C2×D4—1581no—
1381C2×D4—1581no—
1382C2×D4—1581no—
1383C2×D4—1581no—
1384C2×D4—1581no—
1385C2×D4—1581no—
1386C2×D4C23×D7911yescharacteristic
1387C2×D4C23×D7911yescharacteristic
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—791no—
1391C22×C4—791no—
1392C22×C4—791no—
1393C22×C4—791no—
1394C22×C4—791no—
1395C22×C4—791no—
1396C22×C4—791no—
1397C22×C4—1581no—
1398C22×C4—1581no—
1399C22×C4—1581no—
1400C22×C4—1581no—
1401C22×C4—1582no—
1402C22×C4—1582no—
1403C22×C4—1581no—
1404C22×C4—1581no—
1405C22×C4—1581no—
1406C22×C4—1581no—
1407C22×C4—1581no—
1408C22×C4—1581no—
1409C22×C4—1581no—
1410C22×C4D4×D7911yescharacteristic
1411C22×C4D4×D7911yescharacteristic
1412C22×C4C23×D7911yescharacteristic
1413Q16—1582no—
1414Q16—1582no—
1415Q16—1582no—
1416SD16—22no—
1417SD16—22no—
1418SD16—22no—
1419SD16—22no—
1420SD16—1582no—
1421SD16—1582no—
1422SD16—1582no—
1423SD16—1582no—
1424SD16—1582no—
1425SD16—1582no—
1426D8—1582no—
1427D8—1582no—
1428D8—1582no—
1429M16—22no—
1430M16—22no—
1431M16—794no—
1432M16—1582no—
1433M16—1582no—
1434M16—1582no—
1435M16—1582no—
1436M16—1582no—
1437C2×C8—791no—
1438C2×C8—791no—
1439C2×C8—794no—
1440C2×C8—791no—
1441C2×C8—791no—
1442C2×C8—1582no—
1443C2×C8—1582no—
1444C2×C8—1582no—
1445C2×C8C23×D7911yescharacteristic
1446C2×C8C23×D7911yescharacteristic
1447C2×C8C23×D7911yescharacteristic
1448C2×C8C23×D7911yescharacteristic
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—791no—
1458C4⋊C4—791no—
1459C4⋊C4—791no—
1460C4⋊C4—791no—
1461C4⋊C4—791no—
1462C4⋊C4—791no—
1463C4⋊C4—791no—
1464C4⋊C4—791no—
1465C4⋊C4—791no—
1466C4⋊C4—791no—
1467C4⋊C4—791no—
1468C4⋊C4—791no—
1469C4⋊C4—1581no—
1470C4⋊C4—1581no—
1471C4⋊C4—1581no—
1472C4⋊C4—1581no—
1473C4⋊C4—1581no—
1474C4⋊C4—1581no—
1475C4⋊C4—1581no—
1476C4⋊C4—1581no—
1477C4⋊C4—1581no—
1478C4⋊C4—1581no—
1479C4⋊C4—1581no—
1480C4⋊C4—1581no—
1481C4⋊C4—1581no—
1482C4⋊C4—1581no—
1483C4⋊C4—1581no—
1484C4⋊C4—1581no—
1485C4⋊C4—1581no—
1486C4⋊C4—1581no—
1487C4⋊C4—1581no—
1488C4⋊C4—1581no—
1489C4⋊C4—1581no—
1490C4⋊C4—1581no—
1491C4⋊C4—1581no—
1492C4⋊C4—1581no—
1493C4⋊C4—1581no—
1494C4⋊C4—1581no—
1495C4⋊C4C23×D7911yescharacteristic
1496C4⋊C4C23×D7911yescharacteristic
1497C4⋊C4C23×D7911yescharacteristic
1498C4⋊C4C23×D7911yescharacteristic
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
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—1581no—
1514C22⋊C4—1581no—
1515C22⋊C4—1581no—
1516C22⋊C4—1581no—
1517C22⋊C4—1581no—
1518C22⋊C4—1581no—
1519C22⋊C4—1581no—
1520C22⋊C4—1581no—
1521C22⋊C4—1581no—
1522C22⋊C4—1581no—
1523C22⋊C4—1581no—
1524C22⋊C4—1581no—
1525C22⋊C4—1581no—
1526C22⋊C4—1581no—
1527C22⋊C4—1581no—
1528C22⋊C4—1581no—
1529C22⋊C4—1581no—
1530C22⋊C4—1581no—
1531C22⋊C4—1581no—
1532C22⋊C4—1581no—
1533C22⋊C4—1581no—
1534C22⋊C4—1581no—
1535C22⋊C4—1581no—
1536C22⋊C4—1581no—
1537C22⋊C4—1581no—
1538C22⋊C4—1581no—
1539C22⋊C4—1581no—
1540C22⋊C4—1581no—
1541C42—21no—
1542C42—21no—
1543C42—791no—
1544C42—791no—
1545C42—791no—
1546C42—791no—
1547C42—1581no—
1548C42—1581no—
1549C42—1581no—
1550C42—1581no—
1551C42—1581no—
1552C42—1581no—
1553C42—1581no—
1554C42—1581no—
1555C42D4×D7911yescharacteristic
1556C42D4×D7911yescharacteristic
1557C42C23×D7911yescharacteristic
1558C42C23×D7911yescharacteristic
1559C23—21no—
1560C23—21no—
1561C23—3161no—
1562C23—3161no—
1563C23—3162no—
1564C23—791no—
1565C23—791no—
1566C23—6321no—
1567C23—6321no—
1568C23—1582no—
1569C23—1581no—
1570C23—1581no—
1571C23C2×D4×D7911yescharacteristic
1572Q8—21no—
1573Q8—21no—
1574Q8—21no—
1575Q8—21no—
1576Q8—81no—
1577Q8—81no—
1578Q8—3162no—
1579Q8—6321no—
1580Q8—6321no—
1581Q8—1581no—
1582Q8—1581no—
1583Q8—1581no—
1584Q8—1581no—
1585D4—21no—
1586D4—21no—
1587D4—21no—
1588D4—21no—
1589D4—42no—
1590D4—42no—
1591D4—81no—
1592D4—81no—
1593D4—3162no—
1594D4—3162no—
1595D4—3162no—
1596D4—3162no—
1597D4—3162no—
1598D4—6321no—
1599D4—6321no—
1600D4—6321no—
1601D4—6321no—
1602D4—6321no—
1603D4—6321no—
1604D4—1581no—
1605D4—1581no—
1606D4—1581no—
1607D4—1581no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—81no—
1619C2×C4—81no—
1620C2×C4—3162no—
1621C2×C4—3162no—
1622C2×C4—3162no—
1623C2×C4—3161no—
1624C2×C4—3161no—
1625C2×C4—791no—
1626C2×C4—792no—
1627C2×C4—792no—
1628C2×C4—791no—
1629C2×C4—791no—
1630C2×C4—791no—
1631C2×C4—791no—
1632C2×C4—791no—
1633C2×C4—6321no—
1634C2×C4—6321no—
1635C2×C4—6321no—
1636C2×C4—6321no—
1637C2×C4—6321no—
1638C2×C4—6321no—
1639C2×C4—6321no—
1640C2×C4—6321no—
1641C2×C4—1582no—
1642C2×C4—1582no—
1643C2×C4—1581no—
1644C2×C4—1581no—
1645C2×C4—1581no—
1646C2×C4—1581no—
1647C2×C4—1581no—
1648C2×C4—1581no—
1649C2×C4—1582no—
1650C2×C4—1581no—
1651C2×C4—1581no—
1652C2×C4C2×D4×D7911yescharacteristic
1653C2×C4C2×D4×D7911yescharacteristic
1654C2×C4C2×D4×D7911yescharacteristic
1655C2×C4C2×D4×D7911yescharacteristic
1656C2×C4C2×D4×D7911yescharacteristic
1657C2×C4C24×D7911yescharacteristic
1658C8—21no—
1659C8—21no—
1660C8—792no—
1661C8—792no—
1662C8—1581no—
1663C8—1581no—
1664C8#41×D7912yes—
1665C8#41×D7912yes—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—3161no—
1676C22—3161no—
1677C22—3161no—
1678C22—3161no—
1679C22—3161no—
1680C22—3161no—
1681C22—792no—
1682C22—6322no—
1683C22—1581no—
1684C22—1581no—
1685C22—1581no—
1686C22—1581no—
1687C22—1581no—
1688C22—12642no—
1689C22C22×D4×D7911yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—3161no—
1702C4—3161no—
1703C4—3161no—
1704C4—3161no—
1705C4—3161no—
1706C4—3161no—
1707C4—792no—
1708C4—1581no—
1709C4—1581no—
1710C4—1581no—
1711C4—1581no—
1712C4—1581no—
1713C4C2×#41×D7911yescharacteristic
1714C4C2×#41×D7911yescharacteristic
1715C2—41no—
1716C2—81no—
1717C2—81no—
1718C2—3161no—
1719C2—6321no—
1720C2—6321no—
1721C2—1582no—
1722C2#532×D7911yescharacteristic
1723C2#2377817611yescharacteristic
1724C2#2377818311yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3182C2
socleC22×C79C23×D4
hypercenter#3182D79
hypocenterC79#60709
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3182

Complements

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

NH ≅ G/Ntype
1. #23777147C2semidirect
2. #23777130C2semidirect
3. #23774129C2semidirect
4. #23774122C2semidirect
5. #23774113C2semidirect
6. #23774090C2semidirect
7. #23774081C2semidirect
8. #23774075C2semidirect
9. #23774066C2semidirect
10. #23774042C2semidirect
11. #23774037C2semidirect
12. #23774026C2semidirect
13. #23774025C2semidirect
14. #23774000C2semidirect
15. #23773999C2semidirect
16. #23773989C2semidirect
17. #23773988C2semidirect
18. #23773933C2semidirect
19. #23773869C2semidirect
20. #23773760C2semidirect
21. #23773749C2semidirect
22. #23773025C2semidirect
23. #23773014C2semidirect
24. #23773004C2semidirect
25. #468×D79C2semidirect
26. #23772272C2semidirect
27. #23772256C2semidirect
28. #23772240C2semidirect
29. #23772231C2semidirect
30. #23771817C2semidirect
31. C79×#3182C2semidirect
57. #19099187C22semidirect
58. #19099185C22semidirect
60. #19099174C22semidirect
61. #19099171C22semidirect
66. #19099115C22semidirect
68. #19099099C22semidirect
70. #19099097C22semidirect
81. #19098971C22semidirect
82. #19098971C22semidirect
83. #19098969C22semidirect
84. #19098969C22semidirect
85. #19098967C22semidirect
86. #19098965C22semidirect
87. #19098964C22semidirect
88. #19098955C22semidirect
89. #19098954C22semidirect
90. #19098950C22semidirect
91. #19098949C22semidirect
92. #19098947C22semidirect
93. #19098944C22semidirect
94. #19098934C22semidirect
95. #19098931C22semidirect
96. #19098930C22semidirect
97. #19098927C22semidirect
98. #19098926C22semidirect
99. #19098925C22semidirect
100. #19098925C22semidirect
101. #19098924C22semidirect
102. #19098921C22semidirect
103. #19098919C22semidirect
104. #19098918C22semidirect
105. #19098918C22semidirect
106. #19098916C22semidirect
107. #19098912C22semidirect
108. #19098908C22semidirect
109. #19098821C22semidirect
110. #19098820C22semidirect
111. #19098819C22semidirect
112. #19098819C22semidirect
114. #19098815C22semidirect
116. #19098814C22semidirect
121. #19098810C22semidirect
123. #19098809C22semidirect
126. #19098807C22semidirect
128. #19098806C22semidirect
129. #19098805C22semidirect
130. #19098803C22semidirect
134. #19098791C22semidirect
136. #19098789C22semidirect
137. #19098676C22semidirect
138. #19098672C22semidirect
139. #19098671C22semidirect
140. #19098667C22semidirect
141. #19098666C22semidirect
142. #19098665C22semidirect
143. #19098665C22semidirect
144. #19098664C22semidirect
145. #19098664C22semidirect
146. #19098662C22semidirect
147. #19098662C22semidirect
148. #19098660C22semidirect
149. #19098657C22semidirect
150. C4×#11929614C22semidirect
151. C4×#11929614C22semidirect
152. #19098655C22semidirect
153. #19098654C22semidirect
154. SD16×Dic79C22semidirect
155. SD16×Dic79C22semidirect
156. C4×#11929611C22semidirect
157. C4×#11929611C22semidirect
158. C4×#11929612C22semidirect
159. C4×#11929612C22semidirect
160. #19098648C22semidirect
161. #19098645C22semidirect
162. C4×#11929609C22semidirect
163. C4×#11929609C22semidirect
164. #19098643C22semidirect
179. #19098520C22semidirect
180. #19098520C22semidirect
183. #19098517C22semidirect
184. #19098517C22semidirect
185. C4×#11929608C22semidirect
186. M16×Dic79C22semidirect
187. M16×Dic79C22semidirect
188. #533×C79C22semidirect
190. #500×C79C22semidirect
191. #492×C79C22semidirect
192. #487×C79C22semidirect
193. #486×C79C22semidirect
196. #468×C79C22semidirect
197. #468×C79C22semidirect
198. #440×C79C22semidirect
199. #440×C79C22semidirect
200. #440×C79C22semidirect
201. #440×C79C22semidirect
202. C4×M16×C79C22semidirect
551. #11929607#41semidirect
559. C8×D79#41semidirect
868. #3182D79semidirect
894. C79#60709semidirect
930. #533C2×D79semidirect
951. #500C2×D79semidirect
961. #492C2×D79semidirect
975. #487C2×D79semidirect
977. #486C2×D79semidirect
1000. #468C2×D79semidirect
1001. #468C2×D79semidirect
1022. #440C2×D79semidirect
1023. #440C2×D79semidirect
1024. #440C2×D79semidirect
1025. #440C2×D79semidirect
1065. C4×M16C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237771472
#237771302
#237741292
#237741222
#237741132
#237740902
#237740812
#237740752
#237740662
#237740422
#237740372
#237740262
#237740252
#237740002
#237739992
#237739892
#237739882
#237739332
#237738692
#237737602
#237737492
#237730252
#237730142
#237730042
#468×D792
#237722722
#237722562
#237722402
#237722312
#237718172
C79×#31822
#6070979