Finite Group Databasebeta

← #35158523

Subgroups — #35158523

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#23777150C211yesmaximal, characteristic, complemented
2#23777133C211yesmaximal, characteristic, complemented
3#23774126C211yesmaximal, characteristic, complemented
4#23774125C211yesmaximal, characteristic, complemented
5#23774120C211yesmaximal, characteristic, complemented
6#23774115C211yesmaximal, characteristic, complemented
7#23774086C211yesmaximal, characteristic, complemented
8#23774077C211yesmaximal, characteristic, complemented
9#23774071C211yesmaximal, characteristic, complemented
10#23774062C211yesmaximal, characteristic, complemented
11#23774034C211yesmaximal, characteristic, complemented
12#23774028C211yesmaximal, characteristic, complemented
13#23774023C211yesmaximal, characteristic, complemented
14#23774009C211yesmaximal, characteristic, complemented
15#23774004C211yesmaximal, characteristic, complemented
16#23773998C211yesmaximal, characteristic, complemented
17#23773993C211yesmaximal, characteristic, complemented
18#23773933C211yesmaximal, characteristic, complemented
19#23773871C211yesmaximal, characteristic, complemented
20#23773762C211yesmaximal, characteristic, complemented
21#23773751C211yesmaximal, characteristic, complemented
22#23773027C211yesmaximal, characteristic, complemented
23#23773016C211yesmaximal, characteristic, complemented
24#23773004C211yesmaximal, characteristic, complemented
25#468×D79C211yesmaximal, characteristic, complemented
26#23772272C211yesmaximal, characteristic, complemented
27#23772256C211yesmaximal, characteristic, complemented
28#23772238C211yesmaximal, characteristic, complemented
29#23772225C211yesmaximal, characteristic, complemented
30#23771816C211yesmaximal, characteristic, complemented
31C79×#3175C211yesmaximal, characteristic, complemented
32C2×#14579193C2211yescharacteristic
33C2×#14579185C2211yescharacteristic
34C2×#14579182C2211yescharacteristic
35C2×SD16×D79C2211yescharacteristic
36C22×#11929607C2211yescharacteristic
37C2×M16×D79C2211yescharacteristic
38#19099282—21no—
39#19099275—21no—
40#19099267—21no—
41#19099264—21no—
42#19099258—21no—
43#19099250—21no—
44#19099249—21no—
45#19099249—21no—
46#19099247—21no—
47#19099243—21no—
48#19099241—21no—
49#19099240—21no—
50#19099238—21no—
51#19099215—21no—
52#19099206—21no—
53#19099205—21no—
54#19099190C2211yescharacteristic
55#19099190C2211yescharacteristic
56#19099186C2211yescharacteristic
57#19099180C2211yescharacteristic, complemented
58#19099175C2211yescharacteristic, complemented
59#19099173C2211yescharacteristic, complemented
60#19099168C2211yescharacteristic
61#19099166C2211yescharacteristic
62#19099133C2211yescharacteristic
63#19099131C2211yescharacteristic
64#19099118C2211yescharacteristic, complemented
65#19099117C2211yescharacteristic, complemented
66#19099114C2211yescharacteristic
67#19099110C2211yescharacteristic
68#19099100C2211yescharacteristic
69#19099095C2211yescharacteristic, complemented
70#19099092C2211yescharacteristic
71#19099092C2211yescharacteristic, complemented
72#19099076C2211yescharacteristic
73#19099073C2211yescharacteristic
74C22⋊Q8×D79C2211yescharacteristic
75#121×D79C2211yescharacteristic
76#19099045C2211yescharacteristic
77#19099042C2211yescharacteristic
78#19099039C2211yescharacteristic
79#19099035C2211yescharacteristic
80#117×D79C2211yescharacteristic
81#19098971C2211yescharacteristic, complemented
82#19098971C2211yescharacteristic, complemented
83#19098969C2211yescharacteristic, complemented
84#19098969C2211yescharacteristic, complemented
85#19098967C2211yescharacteristic, complemented
86#19098965C2211yescharacteristic, complemented
87#19098964C2211yescharacteristic, complemented
88#19098958C2211yescharacteristic, complemented
89#19098956C2211yescharacteristic, complemented
90#19098953C2211yescharacteristic, complemented
91#19098951C2211yescharacteristic, complemented
92#19098944C2211yescharacteristic, complemented
93#19098936C2211yescharacteristic, complemented
94#19098934C2211yescharacteristic, complemented
95#19098932C2211yescharacteristic, complemented
96#19098930C2211yescharacteristic, complemented
97#19098928C2211yescharacteristic, complemented
98#19098926C2211yescharacteristic, complemented
99#19098924C2211yescharacteristic, complemented
100#19098921C2211yescharacteristic, complemented
101#19098919C2211yescharacteristic, complemented
102#19098917C2211yescharacteristic, complemented
103#19098917C2211yescharacteristic, complemented
104#19098916C2211yescharacteristic, complemented
105#19098915C2211yescharacteristic, complemented
106#19098912C2211yescharacteristic, complemented
107#19098911C2211yescharacteristic, complemented
108#19098908C2211yescharacteristic, complemented
109#19098820C2211yescharacteristic, complemented
110#19098820C2211yescharacteristic, complemented
111#19098819C2211yescharacteristic, complemented
112#19098818C2211yescharacteristic, complemented
113#19098815C2211yescharacteristic
114#19098815C2211yescharacteristic, complemented
115#19098814C2211yescharacteristic, complemented
116#19098813C2211yescharacteristic
117#19098812C2211yescharacteristic
118#19098812C2211yescharacteristic, complemented
119#19098811C2211yescharacteristic
120#19098810C2211yescharacteristic
121#19098810C2211yescharacteristic
122#19098810C2211yescharacteristic, complemented
123#19098810C2211yescharacteristic, complemented
124#19098809C2211yescharacteristic
125#19098809C2211yescharacteristic, complemented
126#19098808C2211yescharacteristic
127#19098808C2211yescharacteristic
128#19098807C2211yescharacteristic
129#19098806C2211yescharacteristic
130#19098806C2211yescharacteristic, complemented
131#19098802C2211yescharacteristic, complemented
132#19098797C2211yescharacteristic
133#19098794C2211yescharacteristic, complemented
134#19098792C2211yescharacteristic
135#19098792C2211yescharacteristic, complemented
136#19098790C2211yescharacteristic
137#19098675C2211yescharacteristic, complemented
138#19098673C2211yescharacteristic, complemented
139#19098670C2211yescharacteristic, complemented
140#19098668C2211yescharacteristic, complemented
141#19098665C2211yescharacteristic, complemented
142#19098665C2211yescharacteristic, complemented
143#19098664C2211yescharacteristic, complemented
144#19098664C2211yescharacteristic, complemented
145#19098663C2211yescharacteristic, complemented
146#19098662C2211yescharacteristic, complemented
147#19098662C2211yescharacteristic, complemented
148#19098662C2211yescharacteristic, complemented
149#19098662C2211yescharacteristic, complemented
150#19098661C2211yescharacteristic, complemented
151C4×#11929614C2211yescharacteristic, complemented
152#19098655C2211yescharacteristic, complemented
153#19098655C2211yescharacteristic, complemented
154#19098654C2211yescharacteristic, complemented
155#19098654C2211yescharacteristic, complemented
156C4×#11929613C2211yescharacteristic, complemented
157C4×#11929613C2211yescharacteristic, complemented
158C4×#11929611C2211yescharacteristic, complemented
159C4×#11929612C2211yescharacteristic, complemented
160#19098648C2211yescharacteristic, complemented
161#19098648C2211yescharacteristic, complemented
162C4×#11929609C2211yescharacteristic, complemented
163#19098643C2211yescharacteristic, 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#19098521C2211yescharacteristic, complemented
178#19098520C2211yescharacteristic
179#19098520C2211yescharacteristic
180#19098519C2211yescharacteristic, complemented
181#19098518C2211yescharacteristic, complemented
182#19098517C2211yescharacteristic
183#19098517C2211yescharacteristic
184#19098515C2211yescharacteristic, complemented
185#19098515C2211yescharacteristic, complemented
186C4×#11929607C2211yescharacteristic, complemented
187C4×#11929607C2211yescharacteristic, complemented
188#542×C79C2211yescharacteristic
189#542×C79C2211yescharacteristic, complemented
190#500×C79C2211yescharacteristic, complemented
191#495×C79C2211yescharacteristic, complemented
192#489×C79C2211yescharacteristic, complemented
193#489×C79C2211yescharacteristic, complemented
194#468×C79C2211yescharacteristic
195#468×C79C2211yescharacteristic, complemented
196#467×C79C2211yescharacteristic, complemented
197#466×C79C2211yescharacteristic
198#440×C79C2211yescharacteristic, complemented
199#440×C79C2211yescharacteristic, complemented
200C4×Q16×C79C2211yescharacteristic, complemented
201C4×D8×C79C2211yescharacteristic, complemented
202#405×C79C2211yescharacteristic, complemented
203C2×#11929625—21no—
204C2×#11929625C2311yescharacteristic
205C2×#11929624—21no—
206C2×#11929623C2311yescharacteristic
207C2×Q8×D79C2311yescharacteristic
208C2×D4×D79—21no—
209C2×D4×D79C2311yescharacteristic
210C22×C4×D79C2311yescharacteristic
211#14579193—24no—
212#14579185—24no—
213#14579182—24no—
214C2×#11929614C2311yescharacteristic
215C2×#11929614C2311yescharacteristic
216C2×#11929613C2311yescharacteristic
217C2×#11929613C2311yescharacteristic
218C2×#11929613C2311yescharacteristic
219C2×#11929613C2311yescharacteristic
220C2×#11929612C2311yescharacteristic
221C2×#11929612C2311yescharacteristic
222C2×#11929611C2311yescharacteristic
223C2×#11929611C2311yescharacteristic
224SD16×D79—24no—
225C2×#11929609C2311yescharacteristic
226C2×#11929609C2311yescharacteristic
227C2×#11929608C2311yescharacteristic
228C2×#11929607—24no—
229C2×#11929607C2311yescharacteristic
230C2×#11929607C2311yescharacteristic
231C2×#11929607C2311yescharacteristic
232C2×#11929607C2311yescharacteristic
233C2×#11929607C2311yescharacteristic
234C2×#11929607C2311yescharacteristic
235M16×D79—24no—
236C22×C79⋊C8C2311yescharacteristic
237C2×C8×D79C2311yescharacteristic
238C2×C8×D79C2311yescharacteristic
239#14579161C2311yescharacteristic
240#14579160C2311yescharacteristic
241#14579160C2311yescharacteristic
242#14579159—21no—
243#14579159—21no—
244#14579159C2311yescharacteristic
245#14579158C2311yescharacteristic
246#14579157C2311yescharacteristic
247#14579156—21no—
248#14579156—21no—
249#14579154—21no—
250#14579154—21no—
251#14579154—21no—
252#14579154—21no—
253#14579154—21no—
254#14579154—21no—
255#14579154—21no—
256#14579154—21no—
257#14579153C2311yescharacteristic
258#14579153C2311yescharacteristic
259#14579152—21no—
260#14579152—21no—
261#14579152C2311yescharacteristic
262#14579152C2311yescharacteristic
263#14579151—21no—
264#14579151—21no—
265#14579151—21no—
266#14579151—21no—
267#14579151—21no—
268#14579151—21no—
269#14579150—21no—
270#14579150C2311yescharacteristic
271#14579148—21no—
272#14579148C2311yescharacteristic
273#14579147—21no—
274#14579147—21no—
275#14579146—21no—
276#14579146—21no—
277#14579146—21no—
278#14579146—21no—
279#14579145—21no—
280#14579143—21no—
281#14579143—21no—
282#14579143—21no—
283#14579143—21no—
284#14579143—21no—
285#14579143—21no—
286#14579143—21no—
287#14579143—21no—
288#14579142—21no—
289#14579141—21no—
290#14579141C2311yescharacteristic
291#14579141C2311yescharacteristic
292#14579140C2311yescharacteristic
293#14579140C2311yescharacteristic
294#14579139—21no—
295#14579139—21no—
296#14579139—21no—
297#14579139—21no—
298#14579138—21no—
299#14579138—21no—
300#14579138—21no—
301#14579138—21no—
302#14579137—21no—
303#14579137—21no—
304#14579137—21no—
305#14579137C2311yescharacteristic
306#14579137C2311yescharacteristic
307#14579136—21no—
308#14579136C2311yescharacteristic
309#14579136C2311yescharacteristic
310#14579135C2311yescharacteristic
311#14579135C2311yescharacteristic
312#14579134—21no—
313#14579134—21no—
314#14579134—21no—
315#14579134—21no—
316#14579134—21no—
317#14579134—21no—
318#14579133—21no—
319#14579133—21no—
320#14579132—21no—
321#14579132C2311yescharacteristic
322#14579132C2311yescharacteristic
323#14579131—21no—
324#14579131—21no—
325#14579131—21no—
326#14579129—21no—
327Q8×Dic79—21no—
328Q8×Dic79C2311yescharacteristic
329Q8×Dic79C2311yescharacteristic
330C4×Dic158—21no—
331C4×Dic158—21no—
332C4×Dic158C2311yescharacteristic
333C4×Dic158C2311yescharacteristic
334#14579126—21no—
335#14579126C2311yescharacteristic
336#14579126C2311yescharacteristic
337C4×D316—21no—
338C4×D316—21no—
339C4×D316C2311yescharacteristic
340C4×D316C2311yescharacteristic
341D4×Dic79—21no—
342D4×Dic79C2311yescharacteristic
343D4×Dic79C2311yescharacteristic
344#14579123—21no—
345#14579123—21no—
346#14579123—21no—
347#14579123C2311yescharacteristic
348#14579123C2311yescharacteristic
349C4×C22⋊D79—21no—
350C4×C22⋊D79—21no—
351C4×C22⋊D79—21no—
352C4×C22⋊D79—21no—
353(C22⋊D79)⋊C4—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#14579120—21no—
360#14579120C2311yescharacteristic
361#14579119—21no—
362#14579119—21no—
363#14579119D411yescharacteristic
364#14579119D411yescharacteristic
365#14579119C2311yescharacteristic
366#14579119C2311yescharacteristic
367#14579118—21no—
368#14579118—21no—
369#14579118—21no—
370#14579118—21no—
371#14579118C2311yescharacteristic
372#14579118C2311yescharacteristic
373#14579117—21no—
374#14579117—21no—
375#14579117—21no—
376#14579117D411yescharacteristic
377#14579117D411yescharacteristic
378C2×Dic79⋊C4—21no—
379C4⋊C4×D79—21no—
380C4⋊C4×D79—21no—
381C4⋊C4×D79D411yescharacteristic
382C4⋊C4×D79D411yescharacteristic
383C4⋊C4×D79C2311yescharacteristic
384C4⋊C4×D79C2311yescharacteristic
385C2×(C2×D79)⋊C4—21no—
386C22⋊C4×D79—21no—
387C22⋊C4×D79—21no—
388C22⋊C4×D79—21no—
389C22⋊C4×D79D411yescharacteristic
390C22⋊C4×D79D411yescharacteristic
391C42×D79C2311yescharacteristic
392C42×D79C2311yescharacteristic
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×Q16×C79C2311yescharacteristic
442C2×SD16×C79C2311yescharacteristic
443C2×SD16×C79C2311yescharacteristic
444C2×D8×C79C2311yescharacteristic
445C2×M16×C79C2311yescharacteristic
446C22×C8×C79C2311yescharacteristic
447C4⋊Q8×C79C2311yescharacteristic
448C4⋊Q8×C79C2311yescharacteristic
449#126×C79—21no—
450#126×C79—21no—
451#124×C79—21no—
452#124×C79—21no—
453#124×C79C2311yescharacteristic
454#124×C79C2311yescharacteristic
455#123×C79—21no—
456#123×C79—21no—
457C22⋊Q8×C79—21no—
458C22⋊Q8×C79—21no—
459C22⋊Q8×C79C2311yescharacteristic
460C22⋊Q8×C79C2311yescharacteristic
461#121×C79C2311yescharacteristic
462#121×C79C2311yescharacteristic
463C4×Q8×C79C2311yescharacteristic
464C4×Q8×C79C2311yescharacteristic
465C4×D4×C79C2311yescharacteristic
466C4×D4×C79C2311yescharacteristic
467#117×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#11929625—82no—
489#11929624—82no—
490#11929623—22no—
491#11929623—22no—
492C2×Dic158—21no—
493C2×Dic158—21no—
494C2×Dic158—21no—
495C2×Dic158C2411yescharacteristic
496C2×Dic158C2411yescharacteristic
497Q8×D79—22no—
498Q8×D79—22no—
499C2×D316—21no—
500C2×D316—21no—
501C2×D316—21no—
502C2×D316—21no—
503C2×D316—21no—
504C2×D316C2411yescharacteristic
505C2×D316C2411yescharacteristic
506C2×C22⋊D79—21no—
507C2×C22⋊D79—21no—
508C2×C22⋊D79—21no—
509C2×C22⋊D79—21no—
510C2×C22⋊D79—21no—
511C2×C22⋊D79—21no—
512C2×C22⋊D79—21no—
513C2×C22⋊D79—21no—
514D4×D79—22no—
515D4×D79—22no—
516D4×D79—82no—
517C22×Dic79—21no—
518C22×Dic79—21no—
519C22×Dic79—21no—
520C22×Dic79C2×D411yescharacteristic
521C2×C4×D79—22no—
522C2×C4×D79—22no—
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×D79—21no—
531C2×C4×D79C2×D411yescharacteristic
532C2×C4×D79C2×D411yescharacteristic
533C2×C4×D79C2×D411yescharacteristic
534C2×C4×D79C2×D411yescharacteristic
535C2×C4×D79C2×D411yescharacteristic
536C2×C4×D79C2×D411yescharacteristic
537C2×C4×D79C2411yescharacteristic
538C2×C4×D79C2411yescharacteristic
539#11929614—22no—
540#11929614—22no—
541#11929613—22no—
542#11929613—22no—
543#11929613—22no—
544#11929613—22no—
545#11929612—22no—
546#11929612—22no—
547#11929611—22no—
548#11929611—22no—
549#11929609—22no—
550#11929609—22no—
551#11929608—22no—
552#11929607—22no—
553#11929607—22no—
554#11929607—22no—
555#11929607—22no—
556#11929607—22no—
557#11929607#4114yescomplemented
558C2×C79⋊C8—22no—
559C2×C79⋊C8C2411yescharacteristic
560C2×C79⋊C8C2411yescharacteristic
561C2×C79⋊C8C2411yescharacteristic
562C2×C79⋊C8C2411yescharacteristic
563C8×D79—22no—
564C8×D79#4114yescomplemented
565C4⋊Dic79—21no—
566C4⋊Dic79—21no—
567C4⋊Dic79—21no—
568C4⋊Dic79—21no—
569C4⋊Dic79—21no—
570C4⋊Dic79—21no—
571C4⋊Dic79—21no—
572C4⋊Dic79—21no—
573C4⋊Dic79C2×D411yescharacteristic
574C4⋊Dic79C2×D411yescharacteristic
575C4⋊Dic79C2411yescharacteristic
576C4⋊Dic79C2411yescharacteristic
577C4⋊Dic79C2411yescharacteristic
578C4⋊Dic79C2411yescharacteristic
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⋊C4—21no—
591Dic79⋊C4—21no—
592Dic79⋊C4—21no—
593Dic79⋊C4—21no—
594Dic79⋊C4—21no—
595Dic79⋊C4—21no—
596Dic79⋊C4—21no—
597Dic79⋊C4—21no—
598Dic79⋊C4—21no—
599Dic79⋊C4C2×D411yescharacteristic
600Dic79⋊C4C2×D411yescharacteristic
601Dic79⋊C4C2×D411yescharacteristic
602Dic79⋊C4C2×D411yescharacteristic
603C22⋊Dic79—21no—
604C22⋊Dic79—21no—
605C22⋊Dic79—21no—
606C22⋊Dic79—21no—
607C22⋊Dic79—21no—
608C22⋊Dic79—21no—
609C22⋊Dic79—21no—
610C22⋊Dic79—21no—
611C22⋊Dic79C2×D411yescharacteristic
612C22⋊Dic79C2×D411yescharacteristic
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)⋊C4—21no—
627(C2×D79)⋊C4—21no—
628(C2×D79)⋊C4—21no—
629(C2×D79)⋊C4C2×D411yescharacteristic
630(C2×D79)⋊C4C2×D411yescharacteristic
631(C2×D79)⋊C4C2×D411yescharacteristic
632(C2×D79)⋊C4C2×D411yescharacteristic
633C4×Dic79—21no—
634C4×Dic79—21no—
635C4×Dic79—21no—
636C4×Dic79—21no—
637C4×Dic79—21no—
638C4×Dic79—21no—
639C4×Dic79—21no—
640C4×Dic79—21no—
641C4×Dic79C2×D411yescharacteristic
642C4×Dic79C2×D411yescharacteristic
643C4×Dic79C2×D411yescharacteristic
644C4×Dic79C2×D411yescharacteristic
645C4×Dic79C2411yescharacteristic
646C4×Dic79C2411yescharacteristic
647C2×Q8×C79—21no—
648C2×Q8×C79—21no—
649C2×Q8×C79C2411yescharacteristic
650C2×Q8×C79C2411yescharacteristic
651C2×D4×C79—21no—
652C2×D4×C79—21no—
653C2×D4×C79C2411yescharacteristic
654C2×D4×C79C2411yescharacteristic
655C22×C4×C79—21no—
656C22×C4×C79—21no—
657C22×C4×C79C2411yescharacteristic
658Q16×C79—22no—
659SD16×C79—22no—
660SD16×C79—22no—
661D8×C79—22no—
662M16×C79—22no—
663C2×C8×C79—22no—
664C2×C8×C79C2411yescharacteristic
665C2×C8×C79C2411yescharacteristic
666C2×C8×C79C2411yescharacteristic
667C2×C8×C79C2411yescharacteristic
668C4⋊C4×C79—21no—
669C4⋊C4×C79—21no—
670C4⋊C4×C79—21no—
671C4⋊C4×C79—21no—
672C4⋊C4×C79—21no—
673C4⋊C4×C79—21no—
674C4⋊C4×C79C2×D411yescharacteristic
675C4⋊C4×C79C2×D411yescharacteristic
676C4⋊C4×C79C2411yescharacteristic
677C4⋊C4×C79C2411yescharacteristic
678C4⋊C4×C79C2411yescharacteristic
679C4⋊C4×C79C2411yescharacteristic
680C22⋊C4×C79—21no—
681C22⋊C4×C79—21no—
682C22⋊C4×C79—21no—
683C22⋊C4×C79—21no—
684C22⋊C4×C79—21no—
685C22⋊C4×C79—21no—
686C22⋊C4×C79—21no—
687C22⋊C4×C79—21no—
688C22⋊C4×C79—21no—
689C22⋊C4×C79—21no—
690C22⋊C4×C79C2×D411yescharacteristic
691C22⋊C4×C79C2×D411yescharacteristic
692C42×C79—21no—
693C42×C79—21no—
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—81no—
720D4×C79—81no—
721C2×C4×C79—21no—
722C2×C4×C79—21no—
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—81no—
730C2×C4×C79—81no—
731C2×C4×C79C22×D411yescharacteristic
732C2×C4×C79C22×D411yescharacteristic
733C2×C4×C79C22×D411yescharacteristic
734C2×C4×C79C22×D411yescharacteristic
735C2×C4×C79C22×D411yescharacteristic
736C2×C4×C79C2511yescharacteristic
737C22⋊D79—42no—
738C22⋊D79—42no—
739C22⋊D79—42no—
740C22⋊D79—42no—
741C22⋊D79—81no—
742C22⋊D79—81no—
743C22⋊D79—81no—
744C22⋊D79—81no—
745C2×Dic79—22no—
746C2×Dic79—21no—
747C2×Dic79—21no—
748C2×Dic79—21no—
749C2×Dic79—21no—
750C2×Dic79—21no—
751C2×Dic79—21no—
752C2×Dic79—42no—
753C2×Dic79—81no—
754C2×Dic79—81no—
755C2×Dic79C22×D411yescharacteristic
756C2×Dic79C22×D411yescharacteristic
757C2×Dic79C22×D411yescharacteristic
758C2×Dic79C22×D411yescharacteristic
759C2×Dic79C22×D411yescharacteristic
760C2×Dic79C22×D411yescharacteristic
761D316—21no—
762D316—21no—
763D316—21no—
764D316—21no—
765D316—42no—
766D316—42no—
767D316—42no—
768D316—81no—
769D316—81no—
770C4×D79—22no—
771C4×D79—21no—
772C4×D79—21no—
773C4×D79—22no—
774C4×D79—41no—
775C4×D79—41no—
776C4×D79—41no—
777C4×D79—41no—
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#3182—791no—
869#3179—791no—
870#3179—791no—
871#3178—791no—
872#3178—791no—
873#3175—791no—
874#3175D7911yescharacteristic, complemented
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#542C2×D7911yescharacteristic
922#542C2×D7911yescharacteristic, complemented
923#541—791no—
924#541—791no—
925#540—791no—
926#540—791no—
927#536—791no—
928#535—791no—
929#533—791no—
930#533—791no—
931#532—791no—
932#532—791no—
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#495C2×D7911yescharacteristic, complemented
960#492—791no—
961#492—791no—
962#491—791no—
963#491—791no—
964#490—791no—
965#490—791no—
966#489—791no—
967#489—791no—
968#489C2×D7911yescharacteristic, complemented
969#489C2×D7911yescharacteristic, complemented
970#488—791no—
971#488—791no—
972#488—791no—
973#488—791no—
974#487—791no—
975#487—791no—
976#486—791no—
977#486—791no—
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#468—791no—
999#468—791no—
1000#468C2×D7911yescharacteristic
1001#468C2×D7911yescharacteristic, complemented
1002#467—791no—
1003#467C2×D7911yescharacteristic, complemented
1004#466—791no—
1005#466C2×D7911yescharacteristic
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#440—791no—
1023#440—791no—
1024#440C2×D7911yescharacteristic, complemented
1025#440C2×D7911yescharacteristic, complemented
1026C4×Q16—791no—
1027C4×Q16—791no—
1028C4×Q16—791no—
1029C4×Q16C2×D7911yescharacteristic, complemented
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×D8C2×D7911yescharacteristic, complemented
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#405C2×D7911yescharacteristic, complemented
1062C4×M16—791no—
1063C4×M16—791no—
1064C4×M16—791no—
1065C4×M16—791no—
1066C2×#41—791no—
1067C2×#41—791no—
1068C2×#41—1581no—
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×Q16C22×D7911yescharacteristic
1080C2×SD16—791no—
1081C2×SD16—791no—
1082C2×SD16—791no—
1083C2×SD16—791no—
1084C2×SD16—791no—
1085C2×SD16—791no—
1086C2×SD16—791no—
1087C2×SD16—791no—
1088C2×SD16—1584no—
1089C2×SD16C22×D7911yescharacteristic
1090C2×SD16C22×D7911yescharacteristic
1091C2×D8—791no—
1092C2×D8—791no—
1093C2×D8C22×D7911yescharacteristic
1094C2×M16—791no—
1095C2×M16—791no—
1096C2×M16—791no—
1097C2×M16—791no—
1098C2×M16—791no—
1099C2×M16—791no—
1100C2×M16—791no—
1101C2×M16—1584no—
1102C2×M16—1584no—
1103C2×M16C22×D7911yescharacteristic
1104C22×C8—791no—
1105C22×C8—791no—
1106C22×C8—791no—
1107C22×C8C22×D7911yescharacteristic
1108C4⋊Q8—791no—
1109C4⋊Q8—791no—
1110C4⋊Q8—791no—
1111C4⋊Q8—791no—
1112C4⋊Q8—1581no—
1113C4⋊Q8—1581no—
1114C4⋊Q8C22×D7911yescharacteristic
1115C4⋊Q8C22×D7911yescharacteristic
1116#127—791no—
1117#127—791no—
1118#126—21no—
1119#126—21no—
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—791no—
1131#125—791no—
1132#125—791no—
1133#125—791no—
1134#125—1581no—
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—21no—
1144#124—791no—
1145#124—791no—
1146#124—1581no—
1147#124—1581no—
1148#124—1581no—
1149#124—1581no—
1150#124C22×D7911yescharacteristic
1151#124C22×D7911yescharacteristic
1152#123—21no—
1153#123—21no—
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—21no—
1170C22⋊Q8—791no—
1171C22⋊Q8—791no—
1172C22⋊Q8—791no—
1173C22⋊Q8—791no—
1174C22⋊Q8—791no—
1175C22⋊Q8—791no—
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—791no—
1191#121—791no—
1192#121—791no—
1193#121—791no—
1194#121—791no—
1195#121—791no—
1196#121—1581no—
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—791no—
1213C4×Q8—791no—
1214C4×Q8—791no—
1215C4×Q8—791no—
1216C4×Q8—791no—
1217C4×Q8—791no—
1218C4×Q8—1581no—
1219C4×Q8—1581no—
1220C4×Q8—1581no—
1221C4×Q8—1581no—
1222C4×Q8C22×D7911yescharacteristic
1223C4×Q8C22×D7911yescharacteristic
1224C4×D4—791no—
1225C4×D4—791no—
1226C4×D4—791no—
1227C4×D4—791no—
1228C4×D4—791no—
1229C4×D4—791no—
1230C4×D4—1581no—
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—791no—
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—1581no—
1258#117—1581no—
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#117C22×D7911yescharacteristic
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×C42—791no—
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—6322no—
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—791no—
1369C2×D4—791no—
1370C2×D4—6322no—
1371C2×D4—1581no—
1372C2×D4—1581no—
1373C2×D4—1581no—
1374C2×D4—1582no—
1375C2×D4—1582no—
1376C2×D4—1581no—
1377C2×D4—1581no—
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—791no—
1398C22×C4—791no—
1399C22×C4—1581no—
1400C22×C4—1581no—
1401C22×C4—1581no—
1402C22×C4—1581no—
1403C22×C4—1582no—
1404C22×C4—1582no—
1405C22×C4—1581no—
1406C22×C4—1581no—
1407C22×C4—1581no—
1408C22×C4—1581no—
1409C22×C4—1581no—
1410C22×C4—1581no—
1411C22×C4—1581no—
1412C22×C4C23×D7911yescharacteristic
1413Q16—22no—
1414Q16—1582no—
1415Q16—1582no—
1416SD16—22no—
1417SD16—22no—
1418SD16—1582no—
1419SD16—1582no—
1420SD16—1582no—
1421SD16—1582no—
1422SD16—1582no—
1423SD16—1582no—
1424SD16—1582no—
1425SD16—1582no—
1426D8—22no—
1427D8—1582no—
1428D8—1582no—
1429M16—22no—
1430M16—794no—
1431M16—1582no—
1432M16—1582no—
1433M16—1582no—
1434M16—1582no—
1435M16—1582no—
1436M16—1582no—
1437C2×C8—22no—
1438C2×C8—791no—
1439C2×C8—791no—
1440C2×C8—794no—
1441C2×C8—791no—
1442C2×C8—791no—
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—791no—
1456C4⋊C4—791no—
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—1581no—
1466C4⋊C4—1581no—
1467C4⋊C4—1581no—
1468C4⋊C4—1581no—
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⋊C4D4×D7911yescharacteristic
1494C4⋊C4D4×D7911yescharacteristic
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—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—791no—
1510C22⋊C4—791no—
1511C22⋊C4—791no—
1512C22⋊C4—791no—
1513C22⋊C4—791no—
1514C22⋊C4—791no—
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⋊C4D4×D7911yescharacteristic
1540C22⋊C4D4×D7911yescharacteristic
1541C42—21no—
1542C42—21no—
1543C42—791no—
1544C42—791no—
1545C42—791no—
1546C42—791no—
1547C42—791no—
1548C42—791no—
1549C42—1581no—
1550C42—1581no—
1551C42—1581no—
1552C42—1581no—
1553C42—1581no—
1554C42—1581no—
1555C42—1581no—
1556C42—1581no—
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—81no—
1590D4—81no—
1591D4—3162no—
1592D4—3162no—
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—81no—
1617C2×C4—81no—
1618C2×C4—3161no—
1619C2×C4—3161no—
1620C2×C4—3161no—
1621C2×C4—3161no—
1622C2×C4—3162no—
1623C2×C4—3162no—
1624C2×C4—3162no—
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#2377817511yescharacteristic
1724C2#2377818511yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3175C2
socleC22×C79C23×D4
hypercenter#3175D79
hypocenterC79#60709
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ #117 ◁ #3175

Complements

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

NH ≅ G/Ntype
1. #23777150C2semidirect
2. #23777133C2semidirect
3. #23774126C2semidirect
4. #23774125C2semidirect
5. #23774120C2semidirect
6. #23774115C2semidirect
7. #23774086C2semidirect
8. #23774077C2semidirect
9. #23774071C2semidirect
10. #23774062C2semidirect
11. #23774034C2semidirect
12. #23774028C2semidirect
13. #23774023C2semidirect
14. #23774009C2semidirect
15. #23774004C2semidirect
16. #23773998C2semidirect
17. #23773993C2semidirect
18. #23773933C2semidirect
19. #23773871C2semidirect
20. #23773762C2semidirect
21. #23773751C2semidirect
22. #23773027C2semidirect
23. #23773016C2semidirect
24. #23773004C2semidirect
25. #468×D79C2semidirect
26. #23772272C2semidirect
27. #23772256C2semidirect
28. #23772238C2semidirect
29. #23772225C2semidirect
30. #23771816C2semidirect
31. C79×#3175C2semidirect
57. #19099180C22semidirect
58. #19099175C22semidirect
59. #19099173C22semidirect
64. #19099118C22semidirect
65. #19099117C22semidirect
69. #19099095C22semidirect
71. #19099092C22semidirect
81. #19098971C22semidirect
82. #19098971C22semidirect
83. #19098969C22semidirect
84. #19098969C22semidirect
85. #19098967C22semidirect
86. #19098965C22semidirect
87. #19098964C22semidirect
88. #19098958C22semidirect
89. #19098956C22semidirect
90. #19098953C22semidirect
91. #19098951C22semidirect
92. #19098944C22semidirect
93. #19098936C22semidirect
94. #19098934C22semidirect
95. #19098932C22semidirect
96. #19098930C22semidirect
97. #19098928C22semidirect
98. #19098926C22semidirect
99. #19098924C22semidirect
100. #19098921C22semidirect
101. #19098919C22semidirect
102. #19098917C22semidirect
103. #19098917C22semidirect
104. #19098916C22semidirect
105. #19098915C22semidirect
106. #19098912C22semidirect
107. #19098911C22semidirect
108. #19098908C22semidirect
109. #19098820C22semidirect
110. #19098820C22semidirect
111. #19098819C22semidirect
112. #19098818C22semidirect
114. #19098815C22semidirect
115. #19098814C22semidirect
118. #19098812C22semidirect
122. #19098810C22semidirect
123. #19098810C22semidirect
125. #19098809C22semidirect
130. #19098806C22semidirect
131. #19098802C22semidirect
133. #19098794C22semidirect
135. #19098792C22semidirect
137. #19098675C22semidirect
138. #19098673C22semidirect
139. #19098670C22semidirect
140. #19098668C22semidirect
141. #19098665C22semidirect
142. #19098665C22semidirect
143. #19098664C22semidirect
144. #19098664C22semidirect
145. #19098663C22semidirect
146. #19098662C22semidirect
147. #19098662C22semidirect
148. #19098662C22semidirect
149. #19098662C22semidirect
150. #19098661C22semidirect
151. C4×#11929614C22semidirect
152. #19098655C22semidirect
153. #19098655C22semidirect
154. #19098654C22semidirect
155. #19098654C22semidirect
156. C4×#11929613C22semidirect
157. C4×#11929613C22semidirect
158. C4×#11929611C22semidirect
159. C4×#11929612C22semidirect
160. #19098648C22semidirect
161. #19098648C22semidirect
162. C4×#11929609C22semidirect
163. #19098643C22semidirect
164. #19098643C22semidirect
177. #19098521C22semidirect
180. #19098519C22semidirect
181. #19098518C22semidirect
184. #19098515C22semidirect
185. #19098515C22semidirect
186. C4×#11929607C22semidirect
187. C4×#11929607C22semidirect
189. #542×C79C22semidirect
190. #500×C79C22semidirect
191. #495×C79C22semidirect
192. #489×C79C22semidirect
193. #489×C79C22semidirect
195. #468×C79C22semidirect
196. #467×C79C22semidirect
198. #440×C79C22semidirect
199. #440×C79C22semidirect
200. C4×Q16×C79C22semidirect
201. C4×D8×C79C22semidirect
202. #405×C79C22semidirect
557. #11929607#41semidirect
564. C8×D79#41semidirect
874. #3175D79semidirect
894. C79#60709semidirect
922. #542C2×D79semidirect
951. #500C2×D79semidirect
959. #495C2×D79semidirect
968. #489C2×D79semidirect
969. #489C2×D79semidirect
1001. #468C2×D79semidirect
1003. #467C2×D79semidirect
1024. #440C2×D79semidirect
1025. #440C2×D79semidirect
1029. C4×Q16C2×D79semidirect
1041. C4×D8C2×D79semidirect
1061. #405C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237771502
#237771332
#237741262
#237741252
#237741202
#237741152
#237740862
#237740772
#237740712
#237740622
#237740342
#237740282
#237740232
#237740092
#237740042
#237739982
#237739932
#237739332
#237738712
#237737622
#237737512
#237730272
#237730162
#237730042
#468×D792
#237722722
#237722562
#237722382
#237722252
#237718162
C79×#31752
#6070979