Finite Group Databasebeta

← #35158398

Subgroups — #35158398

Order 20224.

2008 conjugacy classes of subgroups.

The subgroup lattice has 1740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23776694C211yesmaximal, characteristic, complemented
2#529×D79C211yesmaximal, characteristic, complemented
3#23774131C211yesmaximal, characteristic, complemented
4#23774128C211yesmaximal, characteristic, complemented
5#23774128C211yesmaximal, characteristic, complemented
6#23774126C211yesmaximal, characteristic, complemented
7#23774104C211yesmaximal, characteristic, complemented
8#23774102C211yesmaximal, characteristic, complemented
9#23774093C211yesmaximal, characteristic, complemented
10#23774091C211yesmaximal, characteristic, complemented
11#23774004C211yesmaximal, characteristic, complemented
12#23774002C211yesmaximal, characteristic, complemented
13#23773993C211yesmaximal, characteristic, complemented
14#23773991C211yesmaximal, characteristic, complemented
15#23773970C211yesmaximal, characteristic, complemented
16#23773964C211yesmaximal, characteristic, complemented
17#23773964C211yesmaximal, characteristic, complemented
18#23773948C211yesmaximal, characteristic, complemented
19#23773861C211yesmaximal, characteristic, complemented
20#23773797C211yesmaximal, characteristic, complemented
21#23773783C211yesmaximal, characteristic, complemented
22#23773027C211yesmaximal, characteristic, complemented
23#23773023C211yesmaximal, characteristic, complemented
24#23773016C211yesmaximal, characteristic, complemented
25#23773012C211yesmaximal, characteristic, complemented
26C4×#14579193C211yesmaximal, characteristic, complemented
27C4×#14579190C211yesmaximal, characteristic, complemented
28C4×#14579188C211yesmaximal, characteristic, complemented
29C4×#14579185C211yesmaximal, characteristic, complemented
30C2×C4×#11929607C211yesmaximal, characteristic, complemented
31C79×#3168C211yesmaximal, characteristic, complemented
32C2×#14579193C2211yescharacteristic
33C2×#14579190C2211yescharacteristic
34C2×#14579188C2211yescharacteristic
35C2×#14579185C2211yescharacteristic
36C22×#11929607C2211yescharacteristic
37C22×#11929607C2211yescharacteristic
38#19099119C2211yescharacteristic
39#19099117C2211yescharacteristic, complemented
40#19099115C2211yescharacteristic, complemented
41#19099112C2211yescharacteristic
42#19099110C2211yescharacteristic, complemented
43#19099108C2211yescharacteristic, complemented
44#19099100C2211yescharacteristic
45#19099099C2211yescharacteristic
46#19099098C2211yescharacteristic
47#19099098C2211yescharacteristic, complemented
48#19099097C2211yescharacteristic
49#19099097C2211yescharacteristic, complemented
50#19099096—21no—
51#19099096—21no—
52#19099096—21no—
53#19099095C2211yescharacteristic
54#19099094C2211yescharacteristic
55#19099093—21no—
56#19099092C2211yescharacteristic
57#19099092C2211yescharacteristic, complemented
58#19099091—21no—
59#19099091—21no—
60#19099090—21no—
61#19099090—21no—
62#126×D79—21no—
63#125×D79C2211yescharacteristic
64#124×D79C2211yescharacteristic
65#19099076C2211yescharacteristic
66#19099073C2211yescharacteristic
67#19099072—21no—
68#19099071—21no—
69#123×D79—21no—
70C22⋊Q8×D79C2211yescharacteristic
71#121×D79C2211yescharacteristic
72C4×#11929625C2211yescharacteristic
73#19099031—21no—
74C4×#11929623—21no—
75C4×#11929623C2211yescharacteristic
76C4×Q8×D79C2211yescharacteristic
77C4×D4×D79—21no—
78C4×D4×D79C2211yescharacteristic
79#117×D79—21no—
80C2×C42×D79C2211yescharacteristic
81#19098971C2211yescharacteristic, complemented
82#19098971C2211yescharacteristic, complemented
83#19098970C2211yescharacteristic, complemented
84#19098970C2211yescharacteristic, complemented
85#19098965C2211yescharacteristic, complemented
86#19098962C2211yescharacteristic, complemented
87#19098962C2211yescharacteristic, complemented
88#19098956C2211yescharacteristic, complemented
89#19098954C2211yescharacteristic, complemented
90#19098951C2211yescharacteristic, complemented
91#19098949C2211yescharacteristic, complemented
92#19098947C2211yescharacteristic, complemented
93#19098945C2211yescharacteristic, complemented
94#19098945C2211yescharacteristic, complemented
95#19098930C2211yescharacteristic, complemented
96#19098930C2211yescharacteristic, complemented
97#19098926C2211yescharacteristic, complemented
98#19098926C2211yescharacteristic, complemented
99#19098924C2211yescharacteristic, complemented
100#19098924C2211yescharacteristic, complemented
101#19098921C2211yescharacteristic, complemented
102#19098921C2211yescharacteristic, complemented
103#19098920C2211yescharacteristic, complemented
104#19098920C2211yescharacteristic, complemented
105#19098918C2211yescharacteristic, complemented
106#19098918C2211yescharacteristic, complemented
107#19098917C2211yescharacteristic, complemented
108#19098917C2211yescharacteristic, complemented
109#19098822C2211yescharacteristic, complemented
110#19098820C2211yescharacteristic, complemented
111#19098820C2211yescharacteristic, complemented
112#19098818C2211yescharacteristic, complemented
113#19098817C2211yescharacteristic
114#19098815C2211yescharacteristic
115#19098815C2211yescharacteristic
116#19098813C2211yescharacteristic
117#19098812C2211yescharacteristic
118#19098812C2211yescharacteristic, complemented
119#19098810C2211yescharacteristic
120#19098810C2211yescharacteristic, complemented
121#19098808C2211yescharacteristic
122#19098808C2211yescharacteristic, complemented
123#19098806C2211yescharacteristic
124#19098806C2211yescharacteristic, complemented
125#19098804C2211yescharacteristic, complemented
126#19098802C2211yescharacteristic, complemented
127#19098802C2211yescharacteristic, complemented
128#19098799C2211yescharacteristic
129#19098797C2211yescharacteristic
130#19098797C2211yescharacteristic
131#19098794C2211yescharacteristic
132#19098794C2211yescharacteristic, complemented
133#19098792C2211yescharacteristic
134#19098792C2211yescharacteristic, complemented
135#19098790C2211yescharacteristic
136#19098790C2211yescharacteristic, complemented
137#19098675C2211yescharacteristic, complemented
138#19098674C2211yescharacteristic, complemented
139#19098672C2211yescharacteristic, complemented
140#19098672C2211yescharacteristic, complemented
141#19098670C2211yescharacteristic, complemented
142#19098669C2211yescharacteristic, complemented
143#19098667C2211yescharacteristic, complemented
144#19098667C2211yescharacteristic, complemented
145#19098666C2211yescharacteristic, complemented
146#19098666C2211yescharacteristic, complemented
147#19098664C2211yescharacteristic, complemented
148#19098664C2211yescharacteristic, complemented
149#19098662C2211yescharacteristic, complemented
150#19098662C2211yescharacteristic, complemented
151#19098660C2211yescharacteristic, complemented
152#19098660C2211yescharacteristic, complemented
153C4×Dic316C2211yescharacteristic, complemented
154C4×#11929614C2211yescharacteristic, complemented
155C4×#11929614C2211yescharacteristic, complemented
156C4×#11929613C2211yescharacteristic, complemented
157C4×#11929613C2211yescharacteristic, complemented
158C4×#11929611C2211yescharacteristic, complemented
159C4×#11929611C2211yescharacteristic, complemented
160C4×#11929612C2211yescharacteristic, complemented
161C4×#11929612C2211yescharacteristic, complemented
162C4×D632C2211yescharacteristic, complemented
163C4×#11929609C2211yescharacteristic, complemented
164C4×#11929609C2211yescharacteristic, complemented
165#19098604C2211yescharacteristic
166#19098604C2211yescharacteristic
167#19098602C2211yescharacteristic
168#19098602C2211yescharacteristic
169#19098570C2211yescharacteristic
170#19098570C2211yescharacteristic
171#19098566C2211yescharacteristic
172#19098566C2211yescharacteristic
173#19098563C2211yescharacteristic
174#19098563C2211yescharacteristic
175#19098561C2211yescharacteristic
176#19098561C2211yescharacteristic
177C4×#11929607C2211yescharacteristic
178C4×#11929607C2211yescharacteristic
179C4×#11929607C2211yescharacteristic
180C4×#11929607C2211yescharacteristic
181C4×#11929607C2211yescharacteristic, complemented
182C4×#11929607C2211yescharacteristic, complemented
183C4×#11929607C2211yescharacteristic, complemented
184C4×#11929607C2211yescharacteristic, complemented
185C2×#14579071C2211yescharacteristic, complemented
186C2×#14579071C2211yescharacteristic, complemented
187C2×C4×C79⋊C8C2211yescharacteristic, complemented
188#529×C79C2211yescharacteristic
189#529×C79C2211yescharacteristic, complemented
190#499×C79C2211yescharacteristic, complemented
191#495×C79C2211yescharacteristic, complemented
192#488×C79C2211yescharacteristic, complemented
193#488×C79C2211yescharacteristic, complemented
194#467×C79C2211yescharacteristic, complemented
195#466×C79C2211yescharacteristic
196#465×C79C2211yescharacteristic
197#465×C79C2211yescharacteristic, complemented
198C4×Q16×C79C2211yescharacteristic, complemented
199C4×SD16×C79C2211yescharacteristic, complemented
200C4×SD16×C79C2211yescharacteristic, complemented
201C4×D8×C79C2211yescharacteristic, complemented
202C2×C4×C8×C79C2211yescharacteristic, complemented
203C2×#11929625C2311yescharacteristic
204C2×#11929624—21no—
205C2×#11929623—21no—
206C2×#11929623C2311yescharacteristic
207C2×Q8×D79C2311yescharacteristic
208C2×D4×D79—21no—
209C2×D4×D79C2311yescharacteristic
210C22×C4×D79—21no—
211C22×C4×D79D411yescharacteristic
212C22×C4×D79D411yescharacteristic
213C22×C4×D79C2311yescharacteristic
214#14579193—24no—
215#14579190—24no—
216#14579188—24no—
217#14579185—24no—
218C2×Dic316C2311yescharacteristic
219C2×#11929614C2311yescharacteristic
220C2×#11929614C2311yescharacteristic
221C2×#11929613C2311yescharacteristic
222C2×#11929613C2311yescharacteristic
223C2×#11929612C2311yescharacteristic
224C2×#11929612C2311yescharacteristic
225C2×#11929611C2311yescharacteristic
226C2×#11929611C2311yescharacteristic
227C2×D632C2311yescharacteristic
228C2×#11929609C2311yescharacteristic
229C2×#11929609C2311yescharacteristic
230C2×#11929607—24no—
231C2×#11929607—24no—
232C2×#11929607C2311yescharacteristic
233C2×#11929607C2311yescharacteristic
234C2×#11929607C2311yescharacteristic
235C2×#11929607C2311yescharacteristic
236C2×#11929607C2311yescharacteristic
237C2×#11929607C2311yescharacteristic
238C2×#11929607C2311yescharacteristic
239C2×#11929607C2311yescharacteristic
240C22×C79⋊C8C2311yescharacteristic
241C22×C79⋊C8C2311yescharacteristic
242#14579160C2311yescharacteristic
243#14579160C2311yescharacteristic
244#14579159C2311yescharacteristic
245#14579157C2311yescharacteristic
246#14579156—21no—
247#14579156—21no—
248#14579156—21no—
249#14579156—21no—
250#14579155—21no—
251#14579155—21no—
252#14579154—21no—
253#14579154—21no—
254#14579154—21no—
255#14579154—21no—
256#14579153C2311yescharacteristic
257#14579153C2311yescharacteristic
258#14579152C2311yescharacteristic
259#14579152C2311yescharacteristic
260#14579151—21no—
261#14579151—21no—
262#14579151—21no—
263#14579151—21no—
264#14579150C2311yescharacteristic
265#14579149C2311yescharacteristic
266#14579149C2311yescharacteristic
267#14579148C2311yescharacteristic
268#14579147—21no—
269#14579147—21no—
270#14579147—21no—
271#14579147—21no—
272#14579146—21no—
273#14579146—21no—
274#14579146—21no—
275#14579146—21no—
276#14579145—21no—
277#14579144—21no—
278#14579144—21no—
279#14579143—21no—
280#14579143—21no—
281#14579143—21no—
282#14579143—21no—
283#14579142—21no—
284#14579141C2311yescharacteristic
285#14579141C2311yescharacteristic
286#14579140C2311yescharacteristic
287#14579140C2311yescharacteristic
288#14579139—21no—
289#14579139—21no—
290#14579139—21no—
291#14579139—21no—
292#14579138—21no—
293#14579138—21no—
294#14579137C2311yescharacteristic
295#14579137C2311yescharacteristic
296#14579136C2311yescharacteristic
297#14579136C2311yescharacteristic
298#14579135C2311yescharacteristic
299#14579135C2311yescharacteristic
300#14579134—21no—
301#14579134—21no—
302#14579134—21no—
303#14579134—21no—
304#14579133—21no—
305#14579133—21no—
306#14579132C2311yescharacteristic
307#14579132C2311yescharacteristic
308#14579131—21no—
309#14579129—21no—
310Q8×Dic79C2311yescharacteristic
311Q8×Dic79C2311yescharacteristic
312C4×Dic158—21no—
313C4×Dic158—21no—
314C4×Dic158C2311yescharacteristic
315C4×Dic158C2311yescharacteristic
316#14579126—21no—
317#14579126—21no—
318#14579126—21no—
319#14579126—21no—
320#14579126C2311yescharacteristic
321#14579126C2311yescharacteristic
322C4×D316—21no—
323C4×D316—21no—
324C4×D316C2311yescharacteristic
325C4×D316C2311yescharacteristic
326D4×Dic79—21no—
327D4×Dic79—21no—
328D4×Dic79C2311yescharacteristic
329D4×Dic79C2311yescharacteristic
330#14579123—21no—
331#14579123—21no—
332#14579123—21no—
333#14579123—21no—
334#14579123C2311yescharacteristic
335#14579123C2311yescharacteristic
336C4×C22⋊D79—21no—
337C4×C22⋊D79—21no—
338C4×C22⋊D79—21no—
339C4×C22⋊D79—21no—
340C4×C22⋊D79—21no—
341C4×C22⋊D79—21no—
342(C22⋊D79)⋊C4—21no—
343(C22⋊D79)⋊C4—21no—
344(C22⋊D79)⋊C4—21no—
345(C22⋊D79)⋊C4—21no—
346(C22⋊D79)⋊C4—21no—
347(C22⋊D79)⋊C4—21no—
348(C22⋊D79)⋊C4—21no—
349(C22⋊D79)⋊C4—21no—
350(C22⋊D79)⋊C4—21no—
351(C22⋊D79)⋊C4—21no—
352#14579120—21no—
353#14579119—21no—
354#14579119—21no—
355#14579119—21no—
356#14579119—21no—
357#14579119C2311yescharacteristic
358#14579119C2311yescharacteristic
359#14579118—21no—
360#14579118—21no—
361#14579118—21no—
362#14579118—21no—
363#14579117—21no—
364#14579117—21no—
365#14579117—21no—
366#14579117—21no—
367#14579117—21no—
368C4⋊C4×D79—21no—
369C4⋊C4×D79—21no—
370C4⋊C4×D79—21no—
371C4⋊C4×D79—21no—
372C4⋊C4×D79C2311yescharacteristic
373C4⋊C4×D79C2311yescharacteristic
374C22⋊C4×D79—21no—
375C22⋊C4×D79—21no—
376C22⋊C4×D79—21no—
377C22⋊C4×D79—21no—
378C22⋊C4×D79—21no—
379C2×C4×Dic79—21no—
380C2×C4×Dic79D411yescharacteristic
381C2×C4×Dic79D411yescharacteristic
382C2×C4×Dic79C2311yescharacteristic
383C42×D79—21no—
384C42×D79—21no—
385C42×D79D411yescharacteristic
386C42×D79D411yescharacteristic
387C42×D79D411yescharacteristic
388C42×D79D411yescharacteristic
389C42×D79C2311yescharacteristic
390C42×D79C2311yescharacteristic
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#14579071C2311yescharacteristic
430#14579071C2311yescharacteristic
431#14579071C2311yescharacteristic
432#14579071C2311yescharacteristic
433#14579071C2311yescharacteristic
434#14579071C2311yescharacteristic
435#14579071C2311yescharacteristic
436#14579071C2311yescharacteristic
437C4×C79⋊C8C2311yescharacteristic
438C4×C79⋊C8C2311yescharacteristic
439C4×C79⋊C8C2311yescharacteristic
440C4×C79⋊C8C2311yescharacteristic
441C2×Q16×C79C2311yescharacteristic
442C2×SD16×C79C2311yescharacteristic
443C2×SD16×C79C2311yescharacteristic
444C2×D8×C79C2311yescharacteristic
445C22×C8×C79C2311yescharacteristic
446C22×C8×C79C2311yescharacteristic
447#126×C79—21no—
448#126×C79—21no—
449#125×C79C2311yescharacteristic
450#125×C79C2311yescharacteristic
451#124×C79C2311yescharacteristic
452#124×C79C2311yescharacteristic
453#123×C79—21no—
454#123×C79—21no—
455C22⋊Q8×C79C2311yescharacteristic
456C22⋊Q8×C79C2311yescharacteristic
457#121×C79C2311yescharacteristic
458#121×C79C2311yescharacteristic
459C4×Q8×C79C2311yescharacteristic
460C4×Q8×C79C2311yescharacteristic
461C4×D4×C79—21no—
462C4×D4×C79—21no—
463C4×D4×C79C2311yescharacteristic
464C4×D4×C79C2311yescharacteristic
465#117×C79—21no—
466#117×C79—21no—
467C2×C42×C79C2311yescharacteristic
468#107×C79C2311yescharacteristic
469#107×C79C2311yescharacteristic
470#106×C79C2311yescharacteristic
471#106×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
480C4×C8×C79C2311yescharacteristic
481C4×C8×C79C2311yescharacteristic
482C4×C8×C79C2311yescharacteristic
483C4×C8×C79C2311yescharacteristic
484C23×D79—21no—
485C23×D79C2×D411yescharacteristic
486#11929625—22no—
487#11929625—22no—
488#11929624—44no—
489#11929623—22no—
490#11929623—22no—
491#11929623—44no—
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×D316C2411yescharacteristic
503C2×D316C2411yescharacteristic
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—
511C2×C22⋊D79—21no—
512D4×D79—22no—
513D4×D79—22no—
514D4×D79—44no—
515C22×Dic79—21no—
516C22×Dic79—21no—
517C22×Dic79—21no—
518C22×Dic79C2×D411yescharacteristic
519C22×Dic79C2×D411yescharacteristic
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×D79—42no—
532C2×C4×D79—42no—
533C2×C4×D79—44no—
534C2×C4×D79C2×D411yescharacteristic
535C2×C4×D79C2×D411yescharacteristic
536C2×C4×D79C2×D411yescharacteristic
537C2×C4×D79C2×D411yescharacteristic
538C2×C4×D79C2×D411yescharacteristic
539C2×C4×D79C2×D411yescharacteristic
540C2×C4×D79C2×D411yescharacteristic
541C2×C4×D79C2×D411yescharacteristic
542C2×C4×D79C2×D411yescharacteristic
543C2×C4×D79C2×D411yescharacteristic
544C2×C4×D79C2411yescharacteristic
545C2×C4×D79C2411yescharacteristic
546Dic316—22no—
547#11929614—22no—
548#11929614—22no—
549#11929613—22no—
550#11929613—22no—
551#11929612—22no—
552#11929612—22no—
553#11929611—22no—
554#11929611—22no—
555D632—22no—
556#11929609—22no—
557#11929609—22no—
558#11929607—22no—
559#11929607—22no—
560#11929607—22no—
561#11929607—22no—
562#11929607—22no—
563#11929607—22no—
564#11929607#4114yescomplemented
565#11929607#4114yescomplemented
566C2×C79⋊C8—22no—
567C2×C79⋊C8—22no—
568C2×C79⋊C8C2411yescharacteristic
569C2×C79⋊C8C2411yescharacteristic
570C2×C79⋊C8C2411yescharacteristic
571C2×C79⋊C8C2411yescharacteristic
572C4⋊Dic79—21no—
573C4⋊Dic79—21no—
574C4⋊Dic79—21no—
575C4⋊Dic79—21no—
576C4⋊Dic79—21no—
577C4⋊Dic79—21no—
578C4⋊Dic79C2411yescharacteristic
579C4⋊Dic79C2411yescharacteristic
580C4⋊Dic79C2411yescharacteristic
581C4⋊Dic79C2411yescharacteristic
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⋊C4—21no—
600Dic79⋊C4—21no—
601Dic79⋊C4—21no—
602C22⋊Dic79—21no—
603C22⋊Dic79—21no—
604C22⋊Dic79—21no—
605C22⋊Dic79—21no—
606C22⋊Dic79—21no—
607C22⋊Dic79—21no—
608C22⋊Dic79—21no—
609C22⋊Dic79—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)⋊C4—21no—
627(C2×D79)⋊C4—21no—
628(C2×D79)⋊C4—21no—
629(C2×D79)⋊C4—21no—
630C4×Dic79—21no—
631C4×Dic79—21no—
632C4×Dic79—21no—
633C4×Dic79—21no—
634C4×Dic79—21no—
635C4×Dic79—21no—
636C4×Dic79—21no—
637C4×Dic79—21no—
638C4×Dic79C2×D411yescharacteristic
639C4×Dic79C2×D411yescharacteristic
640C4×Dic79C2×D411yescharacteristic
641C4×Dic79C2×D411yescharacteristic
642C4×Dic79C2×D411yescharacteristic
643C4×Dic79C2×D411yescharacteristic
644C4×Dic79C2×D411yescharacteristic
645C4×Dic79C2×D411yescharacteristic
646C4×Dic79C2×D411yescharacteristic
647C4×Dic79C2×D411yescharacteristic
648C4×Dic79C2411yescharacteristic
649C4×Dic79C2411yescharacteristic
650C2×Q8×C79C2411yescharacteristic
651C2×Q8×C79C2411yescharacteristic
652C2×D4×C79—21no—
653C2×D4×C79—21no—
654C2×D4×C79C2411yescharacteristic
655C2×D4×C79C2411yescharacteristic
656C22×C4×C79—21no—
657C22×C4×C79—21no—
658C22×C4×C79C2×D411yescharacteristic
659C22×C4×C79C2×D411yescharacteristic
660C22×C4×C79C2411yescharacteristic
661Q16×C79—22no—
662SD16×C79—22no—
663SD16×C79—22no—
664D8×C79—22no—
665C2×C8×C79—22no—
666C2×C8×C79—22no—
667C2×C8×C79C2411yescharacteristic
668C2×C8×C79C2411yescharacteristic
669C2×C8×C79C2411yescharacteristic
670C2×C8×C79C2411yescharacteristic
671C4⋊C4×C79—21no—
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×C79C2411yescharacteristic
680C4⋊C4×C79C2411yescharacteristic
681C4⋊C4×C79C2411yescharacteristic
682C4⋊C4×C79C2411yescharacteristic
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×C79—21no—
691C22⋊C4×C79—21no—
692C22⋊C4×C79—21no—
693C42×C79—21no—
694C42×C79—21no—
695C42×C79C2×D411yescharacteristic
696C42×C79C2×D411yescharacteristic
697C42×C79C2411yescharacteristic
698C42×C79C2411yescharacteristic
699C23×C79—21no—
700C23×C79—21no—
701C23×C79C22×D411yescharacteristic
702C22×D79—22no—
703C22×D79—22no—
704C22×D79—21no—
705C22×D79—21no—
706C22×D79—41no—
707C22×D79—42no—
708C22×D79—42no—
709C22×D79—42no—
710C22×D79C22×D411yescharacteristic
711C22×D79C22×D411yescharacteristic
712Q8×C79—21no—
713Q8×C79—21no—
714Q8×C79—21no—
715Q8×C79—21no—
716D4×C79—21no—
717D4×C79—21no—
718D4×C79—21no—
719D4×C79—21no—
720D4×C79—42no—
721D4×C79—42no—
722C2×C4×C79—22no—
723C2×C4×C79—22no—
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—21no—
732C2×C4×C79—42no—
733C2×C4×C79—42no—
734C2×C4×C79C22×D411yescharacteristic
735C2×C4×C79C22×D411yescharacteristic
736C2×C4×C79C22×D411yescharacteristic
737C2×C4×C79C22×D411yescharacteristic
738C2×C4×C79C22×D411yescharacteristic
739C2×C4×C79C2511yescharacteristic
740C22⋊D79—42no—
741C22⋊D79—42no—
742C22⋊D79—42no—
743C22⋊D79—42no—
744C22⋊D79—42no—
745C22⋊D79—42no—
746C22⋊D79—42no—
747C22⋊D79—42no—
748C2×Dic79—22no—
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—42no—
758C2×Dic79—42no—
759C2×Dic79—42no—
760C2×Dic79C22×D411yescharacteristic
761C2×Dic79C22×D411yescharacteristic
762C2×Dic79C22×D411yescharacteristic
763C2×Dic79C22×D411yescharacteristic
764C2×Dic79C22×D411yescharacteristic
765C2×Dic79C22×D411yescharacteristic
766D316—21no—
767D316—21no—
768D316—21no—
769D316—21no—
770D316—42no—
771D316—42no—
772D316—42no—
773C4×D79—22no—
774C4×D79—22no—
775C4×D79—22no—
776C4×D79—21no—
777C4×D79—21no—
778C4×D79—22no—
779C4×D79—41no—
780C4×D79—41no—
781C4×D79—41no—
782C4×D79—41no—
783C4×D79—41no—
784C4×D79—41no—
785C4×D79—42no—
786C4×D79—42no—
787C4×D79—42no—
788C4×D79—42no—
789C4×D79—42no—
790C4×D79—42no—
791C4×D79—42no—
792C4×D79—42no—
793C4×D79C2×#4112yes—
794C4×D79C2×#4112yes—
795Dic158—21no—
796Dic158—21no—
797Dic158—21no—
798Dic158—21no—
799Dic158—42no—
800Dic158—42no—
801Dic158—42no—
802C8×C79—21no—
803C8×C79—21no—
804C8×C79C2×#4112yes—
805C8×C79C2×#4112yes—
806C79⋊C8—21no—
807C79⋊C8—21no—
808C79⋊C8C2×#4112yes—
809C79⋊C8C2×#4112yes—
810C22×C79—21no—
811C22×C79—21no—
812C22×C79—41no—
813C22×C79—41no—
814C22×C79—41no—
815C22×C79—41no—
816C22×C79—41no—
817C22×C79—41no—
818C22×C79#57512yes—
819C22×C79C23×D411yescharacteristic
820C2×D79—21no—
821C2×D79—21no—
822C2×D79—21no—
823C2×D79—21no—
824C2×D79—21no—
825C2×D79—44no—
826C2×D79—41no—
827C2×D79—41no—
828C2×D79—41no—
829C2×D79—41no—
830C2×D79—41no—
831C2×D79—41no—
832C2×D79—84no—
833C2×D79#53212yes—
834C4×C79—21no—
835C4×C79—21no—
836C4×C79—21no—
837C4×C79—21no—
838C4×C79—41no—
839C4×C79—41no—
840C4×C79—41no—
841C4×C79—41no—
842C4×C79—41no—
843C4×C79—41no—
844C4×C79#57512yes—
845C4×C79C22×#4111yescharacteristic
846C4×C79C22×#4111yescharacteristic
847Dic79—21no—
848Dic79—21no—
849Dic79—21no—
850Dic79—21no—
851Dic79—21no—
852Dic79—41no—
853Dic79—41no—
854Dic79—41no—
855Dic79—41no—
856Dic79—41no—
857Dic79—41no—
858Dic79#53212yes—
859#60702—791nomaximal, Sylow
860C2×C79—22no—
861C2×C79—81no—
862C2×C79—81no—
863C2×C79C2×#53211yescharacteristic
864C2×C79C2×#57511yescharacteristic
865C2×C79C2×#57511yescharacteristic
866D79—22no—
867D79—41no—
868D79—81no—
869D79—81no—
870#3444—791no—
871C2×#529—791no—
872#3183—791no—
873#3183—791no—
874#3183—791no—
875#3183—791no—
876#3181—791no—
877#3181—791no—
878#3180—791no—
879#3180—791no—
880#3172—791no—
881#3172—791no—
882#3171—791no—
883#3171—791no—
884#3168—791no—
885#3168—791no—
886#3168—791no—
887#3168D7911yescharacteristic, complemented
888#3166—791no—
889#3153—791no—
890#3142—791no—
891#3140—791no—
892#3056—791no—
893#3056—791no—
894#3055—791no—
895#3055—791no—
896C4×#137—791no—
897C4×#137—791no—
898C4×AGL(1,ℤ/8)—791no—
899C4×AGL(1,ℤ/8)—791no—
900C2×C4×M16—791no—
901C79#6070211yescharacteristic, complemented, Sylow
902C2×#137—791no—
903C2×#137—791no—
904C2×AGL(1,ℤ/8)—791no—
905C2×AGL(1,ℤ/8)—791no—
906C22×M16—791no—
907C22×M16—791no—
908#533—791no—
909#533—791no—
910#533—791no—
911#532—791no—
912#532—791no—
913#532—791no—
914#529—791no—
915#529—791no—
916#529—791no—
917#529—791no—
918#529—791no—
919#529—791no—
920#529—791no—
921#529—791no—
922#529—791no—
923#529—791no—
924#529—1581no—
925#529—1581no—
926#529—1581no—
927#529—1581no—
928#529—1581no—
929#529—1581no—
930#529—1581no—
931#529—1581no—
932#529C2×D7911yescharacteristic
933#529C2×D7911yescharacteristic, complemented
934C2×#126—1581no—
935C2×#125—791no—
936C2×#124—791no—
937#525—791no—
938#525—791no—
939#525—1581no—
940#525—1581no—
941C2×#123—1581no—
942C2×C22⋊Q8—791no—
943C2×#121—791no—
944C4×#41—791no—
945C4×#41—791no—
946C4×#41—1581no—
947C4×#41—1581no—
948C2×C4×Q8—791no—
949C2×C4×D4—791no—
950C2×C4×D4—1581no—
951C2×#117—1581no—
952C22×C42—791no—
953#501—791no—
954#501—791no—
955#501—791no—
956#501—791no—
957#499—791no—
958#499—791no—
959#499—791no—
960#499C2×D7911yescharacteristic, complemented
961#497—791no—
962#497—791no—
963#496—791no—
964#496—791no—
965#495—791no—
966#495—791no—
967#495—791no—
968#495C2×D7911yescharacteristic, complemented
969#491—791no—
970#491—791no—
971#490—791no—
972#490—791no—
973#489—791no—
974#489—791no—
975#489—791no—
976#489—791no—
977#488—791no—
978#488—791no—
979#488—791no—
980#488—791no—
981#488—791no—
982#488—791no—
983#488C2×D7911yescharacteristic, complemented
984#488C2×D7911yescharacteristic, complemented
985#470—791no—
986#470—791no—
987#470—791no—
988#470—791no—
989#469—791no—
990#469—791no—
991#469—791no—
992#469—791no—
993#468—791no—
994#468—791no—
995#468—791no—
996#468—791no—
997#468—791no—
998#468—791no—
999#468—791no—
1000#468—791no—
1001#467—791no—
1002#467—791no—
1003#467—791no—
1004#467C2×D7911yescharacteristic, complemented
1005#466—791no—
1006#466—791no—
1007#466—791no—
1008#466C2×D7911yescharacteristic
1009#465—791no—
1010#465—791no—
1011#465—791no—
1012#465—791no—
1013#465—791no—
1014#465—791no—
1015#465C2×D7911yescharacteristic
1016#465C2×D7911yescharacteristic, complemented
1017#442—791no—
1018#442—791no—
1019#442—791no—
1020#442—791no—
1021#441—791no—
1022#441—791no—
1023#441—791no—
1024#441—791no—
1025#440—791no—
1026#440—791no—
1027#440—791no—
1028#440—791no—
1029#440—791no—
1030#440—791no—
1031#440—791no—
1032#440—791no—
1033C4×Q16—791no—
1034C4×Q16—791no—
1035C4×Q16—791no—
1036C4×Q16C2×D7911yescharacteristic, complemented
1037C4×SD16—791no—
1038C4×SD16—791no—
1039C4×SD16—791no—
1040C4×SD16—791no—
1041C4×SD16—791no—
1042C4×SD16—791no—
1043C4×SD16C2×D7911yescharacteristic, complemented
1044C4×SD16C2×D7911yescharacteristic, complemented
1045C4×D8—791no—
1046C4×D8—791no—
1047C4×D8—791no—
1048C4×D8C2×D7911yescharacteristic, complemented
1049#428—791no—
1050#428—791no—
1051#428—791no—
1052#428—791no—
1053#419—791no—
1054#419—791no—
1055#418—791no—
1056#418—791no—
1057#417—791no—
1058#417—791no—
1059#417—791no—
1060#417—791no—
1061C4×M16—791no—
1062C4×M16—791no—
1063C4×M16—791no—
1064C4×M16—791no—
1065C4×M16—791no—
1066C4×M16—791no—
1067C4×M16—791no—
1068C4×M16—791no—
1069C2×#97—791no—
1070C2×#97—791no—
1071C2×C4×C8—791no—
1072C2×C4×C8C2×D7911yescharacteristic, complemented
1073C2×#41—791no—
1074C2×#41—791no—
1075C2×#41—1581no—
1076C2×#41—1581no—
1077C22×Q8—791no—
1078C22×D4—791no—
1079C22×D4—1581no—
1080C23×C4—791no—
1081C23×C4—791no—
1082C23×C4—791no—
1083C23×C4—1581no—
1084#137—1584no—
1085#137—1584no—
1086AGL(1,ℤ/8)—1584no—
1087AGL(1,ℤ/8)—1584no—
1088C2×Q16—791no—
1089C2×Q16—791no—
1090C2×Q16—791no—
1091C2×Q16C22×D7911yescharacteristic
1092C2×SD16—791no—
1093C2×SD16—791no—
1094C2×SD16—791no—
1095C2×SD16—791no—
1096C2×SD16—791no—
1097C2×SD16—791no—
1098C2×SD16C22×D7911yescharacteristic
1099C2×SD16C22×D7911yescharacteristic
1100C2×D8—791no—
1101C2×D8—791no—
1102C2×D8—791no—
1103C2×D8C22×D7911yescharacteristic
1104C2×M16—791no—
1105C2×M16—791no—
1106C2×M16—791no—
1107C2×M16—791no—
1108C2×M16—791no—
1109C2×M16—791no—
1110C2×M16—791no—
1111C2×M16—791no—
1112C2×M16—1584no—
1113C2×M16—1584no—
1114C22×C8—791no—
1115C22×C8—791no—
1116C22×C8C22×D7911yescharacteristic
1117C22×C8C22×D7911yescharacteristic
1118C4⋊Q8—791no—
1119C4⋊Q8—791no—
1120C4⋊Q8—791no—
1121#127—791no—
1122#126—21no—
1123#126—21no—
1124#126—1581no—
1125#126—1581no—
1126#126—1581no—
1127#126—1581no—
1128#126—1581no—
1129#126—1581no—
1130#126—1581no—
1131#126—1581no—
1132#126—1581no—
1133#126—1581no—
1134#125—791no—
1135#125—791no—
1136#125—791no—
1137#125—791no—
1138#125—1581no—
1139#125—1581no—
1140#125—1581no—
1141#125—1581no—
1142#125C22×D7911yescharacteristic
1143#125C22×D7911yescharacteristic
1144#124—791no—
1145#124—791no—
1146#124—791no—
1147#124—791no—
1148#124—1581no—
1149#124—1581no—
1150#124—1581no—
1151#124—1581no—
1152#124C22×D7911yescharacteristic
1153#124C22×D7911yescharacteristic
1154#123—21no—
1155#123—21no—
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—791no—
1169C22⋊Q8—791no—
1170C22⋊Q8—791no—
1171C22⋊Q8—791no—
1172C22⋊Q8—791no—
1173C22⋊Q8—791no—
1174C22⋊Q8—1581no—
1175C22⋊Q8—1581no—
1176C22⋊Q8—1581no—
1177C22⋊Q8—1581no—
1178C22⋊Q8—1581no—
1179C22⋊Q8—1581no—
1180C22⋊Q8C22×D7911yescharacteristic
1181C22⋊Q8C22×D7911yescharacteristic
1182#121—791no—
1183#121—791no—
1184#121—791no—
1185#121—791no—
1186#121—791no—
1187#121—791no—
1188#121—1581no—
1189#121—1581no—
1190#121—1581no—
1191#121—1581no—
1192#121—1581no—
1193#121—1581no—
1194#121C22×D7911yescharacteristic
1195#121C22×D7911yescharacteristic
1196#120—1581no—
1197#120—1581no—
1198C4×Q8—791no—
1199C4×Q8—791no—
1200C4×Q8—791no—
1201C4×Q8—791no—
1202C4×Q8—791no—
1203C4×Q8—791no—
1204C4×Q8—1581no—
1205C4×Q8—1581no—
1206C4×Q8—1581no—
1207C4×Q8—1581no—
1208C4×Q8—1581no—
1209C4×Q8—1581no—
1210C4×Q8C22×D7911yescharacteristic
1211C4×Q8C22×D7911yescharacteristic
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—791no—
1215C4×D4—791no—
1216C4×D4—791no—
1217C4×D4—791no—
1218C4×D4—791no—
1219C4×D4—791no—
1220C4×D4—1581no—
1221C4×D4—1581no—
1222C4×D4—1581no—
1223C4×D4—1581no—
1224C4×D4—1581no—
1225C4×D4—1581no—
1226C4×D4—1581no—
1227C4×D4—1581no—
1228C4×D4—1581no—
1229C4×D4—1581no—
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×D4C22×D7911yescharacteristic
1245C4×D4C22×D7911yescharacteristic
1246#117—21no—
1247#117—21no—
1248#117—791no—
1249#117—791no—
1250#117—1581no—
1251#117—1581no—
1252#117—1581no—
1253#117—1581no—
1254#117—1581no—
1255#117—1581no—
1256#117—1581no—
1257#117—1581no—
1258#117—1581no—
1259#117—1581no—
1260#117—1581no—
1261#117—1581no—
1262#117—1581no—
1263#117—1581no—
1264C2×C4⋊C4—791no—
1265C2×C4⋊C4—791no—
1266C2×C4⋊C4—1581no—
1267C2×C4⋊C4—1581no—
1268C2×C4⋊C4—1581no—
1269C2×C4⋊C4—1581no—
1270C2×C22⋊C4—1581no—
1271C2×C22⋊C4—1581no—
1272C2×C22⋊C4—1581no—
1273C2×C22⋊C4—1581no—
1274C2×C22⋊C4—1581no—
1275C2×C42—791no—
1276C2×C42—791no—
1277C2×C42—791no—
1278C2×C42—791no—
1279C2×C42—791no—
1280C2×C42—791no—
1281C2×C42—791no—
1282C2×C42—791no—
1283C2×C42—791no—
1284C2×C42—791no—
1285C2×C42—791no—
1286C2×C42—1581no—
1287C2×C42—1581no—
1288C2×C42—1581no—
1289C2×C42C22×D7911yescharacteristic
1290#107—791no—
1291#107—791no—
1292#107—791no—
1293#107—791no—
1294#107—791no—
1295#107—791no—
1296#107C22×D7911yescharacteristic
1297#107C22×D7911yescharacteristic
1298#106—791no—
1299#106—791no—
1300#106—791no—
1301#106—791no—
1302#106—791no—
1303#106—791no—
1304#106C22×D7911yescharacteristic
1305#106C22×D7911yescharacteristic
1306#103—791no—
1307#103—791no—
1308#103—791no—
1309#103—791no—
1310#103—791no—
1311#103—791no—
1312#103—791no—
1313#103—791no—
1314#103—791no—
1315#103—791no—
1316#103—791no—
1317#103—791no—
1318#103C22×D7911yescharacteristic
1319#103C22×D7911yescharacteristic
1320#103C22×D7911yescharacteristic
1321#103C22×D7911yescharacteristic
1322#102—791no—
1323#102—791no—
1324#102—791no—
1325#102—791no—
1326#102—791no—
1327#102—791no—
1328#102—791no—
1329#102—791no—
1330#102—791no—
1331#102—791no—
1332#102—791no—
1333#102—791no—
1334#102C22×D7911yescharacteristic
1335#102C22×D7911yescharacteristic
1336#102C22×D7911yescharacteristic
1337#102C22×D7911yescharacteristic
1338#97—791no—
1339#97—791no—
1340#97—791no—
1341#97—791no—
1342#97—791no—
1343#97—791no—
1344#97—791no—
1345#97—791no—
1346C4×C8—791no—
1347C4×C8—791no—
1348C4×C8—791no—
1349C4×C8—791no—
1350C4×C8C22×D7911yescharacteristic
1351C4×C8C22×D7911yescharacteristic
1352C4×C8C22×D7911yescharacteristic
1353C4×C8C22×D7911yescharacteristic
1354C24—791no—
1355C24—1581no—
1356#41—3164no—
1357#41—3164no—
1358#41—1582no—
1359#41—1582no—
1360#41—1582no—
1361#41—1582no—
1362C2×Q8—791no—
1363C2×Q8—791no—
1364C2×Q8—1581no—
1365C2×Q8—1581no—
1366C2×Q8—1581no—
1367C2×Q8—1582no—
1368C2×Q8—1582no—
1369C2×Q8C23×D7911yescharacteristic
1370C2×Q8C23×D7911yescharacteristic
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—3164no—
1374C2×D4—791no—
1375C2×D4—791no—
1376C2×D4—1581no—
1377C2×D4—1581no—
1378C2×D4—1581no—
1379C2×D4—1582no—
1380C2×D4—1582no—
1381C2×D4—1581no—
1382C2×D4—1581no—
1383C2×D4—1581no—
1384C2×D4—1581no—
1385C2×D4—1581no—
1386C2×D4—1581no—
1387C2×D4—1581no—
1388C2×D4—1581no—
1389C2×D4C23×D7911yescharacteristic
1390C2×D4C23×D7911yescharacteristic
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—3162no—
1394C22×C4—3162no—
1395C22×C4—3164no—
1396C22×C4—791no—
1397C22×C4—791no—
1398C22×C4—791no—
1399C22×C4—791no—
1400C22×C4—791no—
1401C22×C4—791no—
1402C22×C4—791no—
1403C22×C4—791no—
1404C22×C4—791no—
1405C22×C4—791no—
1406C22×C4—791no—
1407C22×C4—791no—
1408C22×C4—791no—
1409C22×C4—791no—
1410C22×C4—791no—
1411C22×C4—1581no—
1412C22×C4—1581no—
1413C22×C4—1581no—
1414C22×C4—1581no—
1415C22×C4—1581no—
1416C22×C4—1581no—
1417C22×C4—1582no—
1418C22×C4—1582no—
1419C22×C4—1581no—
1420C22×C4—1581no—
1421C22×C4—1581no—
1422C22×C4—1581no—
1423C22×C4—1581no—
1424C22×C4D4×D7911yescharacteristic
1425C22×C4D4×D7911yescharacteristic
1426C22×C4C23×D7911yescharacteristic
1427Q16—22no—
1428Q16—1582no—
1429Q16—1582no—
1430Q16—1582no—
1431SD16—22no—
1432SD16—22no—
1433SD16—1582no—
1434SD16—1582no—
1435SD16—1582no—
1436SD16—1582no—
1437SD16—1582no—
1438SD16—1582no—
1439D8—22no—
1440D8—1582no—
1441D8—1582no—
1442D8—1582no—
1443M16—794no—
1444M16—794no—
1445M16—1582no—
1446M16—1582no—
1447M16—1582no—
1448M16—1582no—
1449M16—1582no—
1450M16—1582no—
1451C2×C8—22no—
1452C2×C8—22no—
1453C2×C8—791no—
1454C2×C8—791no—
1455C2×C8—791no—
1456C2×C8—791no—
1457C2×C8—1582no—
1458C2×C8—1582no—
1459C2×C8C23×D7911yescharacteristic
1460C2×C8C23×D7911yescharacteristic
1461C2×C8C23×D7911yescharacteristic
1462C2×C8C23×D7911yescharacteristic
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—791no—
1472C4⋊C4—791no—
1473C4⋊C4—791no—
1474C4⋊C4—791no—
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⋊C4—1581no—
1496C4⋊C4—1581no—
1497C4⋊C4—1581no—
1498C4⋊C4—1581no—
1499C4⋊C4—1581no—
1500C4⋊C4—1581no—
1501C4⋊C4C23×D7911yescharacteristic
1502C4⋊C4C23×D7911yescharacteristic
1503C4⋊C4C23×D7911yescharacteristic
1504C4⋊C4C23×D7911yescharacteristic
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
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—
1541C22⋊C4—1581no—
1542C22⋊C4—1581no—
1543C42—21no—
1544C42—21no—
1545C42—791no—
1546C42—791no—
1547C42—791no—
1548C42—791no—
1549C42—791no—
1550C42—791no—
1551C42—791no—
1552C42—791no—
1553C42—791no—
1554C42—791no—
1555C42—791no—
1556C42—791no—
1557C42—1581no—
1558C42—1581no—
1559C42—1581no—
1560C42—1581no—
1561C42—1581no—
1562C42—1581no—
1563C42—1581no—
1564C42—1581no—
1565C42D4×D7911yescharacteristic
1566C42D4×D7911yescharacteristic
1567C42C23×D7911yescharacteristic
1568C42C23×D7911yescharacteristic
1569C23—21no—
1570C23—21no—
1571C23—3161no—
1572C23—3162no—
1573C23—3162no—
1574C23—3162no—
1575C23—791no—
1576C23—791no—
1577C23—1582no—
1578C23—1581no—
1579C23—1581no—
1580C23—1582no—
1581C23C2×D4×D7911yescharacteristic
1582Q8—21no—
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—3162no—
1587Q8—3162no—
1588Q8—3162no—
1589Q8—1581no—
1590Q8—1581no—
1591Q8—1581no—
1592Q8—1581no—
1593D4—21no—
1594D4—21no—
1595D4—21no—
1596D4—21no—
1597D4—42no—
1598D4—42no—
1599D4—3162no—
1600D4—3162no—
1601D4—3162no—
1602D4—3162no—
1603D4—3162no—
1604D4—3162no—
1605D4—3162no—
1606D4—3162no—
1607D4—3162no—
1608D4—3162no—
1609D4—3162no—
1610D4—1581no—
1611D4—1581no—
1612D4—1581no—
1613D4—1581no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—42no—
1625C2×C4—42no—
1626C2×C4—3161no—
1627C2×C4—3161no—
1628C2×C4—3161no—
1629C2×C4—3161no—
1630C2×C4—3161no—
1631C2×C4—3161no—
1632C2×C4—3162no—
1633C2×C4—3162no—
1634C2×C4—3162no—
1635C2×C4—3162no—
1636C2×C4—3162no—
1637C2×C4—3162no—
1638C2×C4—3162no—
1639C2×C4—3162no—
1640C2×C4—3162no—
1641C2×C4—3162no—
1642C2×C4—3162no—
1643C2×C4—3161no—
1644C2×C4—791no—
1645C2×C4—792no—
1646C2×C4—792no—
1647C2×C4—791no—
1648C2×C4—791no—
1649C2×C4—791no—
1650C2×C4—791no—
1651C2×C4—791no—
1652C2×C4—1582no—
1653C2×C4—1582no—
1654C2×C4—1581no—
1655C2×C4—1581no—
1656C2×C4—1581no—
1657C2×C4—1581no—
1658C2×C4—1581no—
1659C2×C4—1581no—
1660C2×C4—1582no—
1661C2×C4—1582no—
1662C2×C4—1582no—
1663C2×C4—1582no—
1664C2×C4—1581no—
1665C2×C4—1581no—
1666C2×C4C2×D4×D7911yescharacteristic
1667C2×C4C2×D4×D7911yescharacteristic
1668C2×C4C2×D4×D7911yescharacteristic
1669C2×C4C2×D4×D7911yescharacteristic
1670C2×C4C2×D4×D7911yescharacteristic
1671C2×C4C24×D7911yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—792no—
1675C8—792no—
1676C8—1581no—
1677C8—1581no—
1678C8#41×D7912yes—
1679C8#41×D7912yes—
1680C22—21no—
1681C22—21no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—3164no—
1689C22—3161no—
1690C22—3161no—
1691C22—3161no—
1692C22—3161no—
1693C22—3161no—
1694C22—3161no—
1695C22—792no—
1696C22—6324no—
1697C22—1581no—
1698C22—1581no—
1699C22—1581no—
1700C22—1581no—
1701C22—1581no—
1702C22#1909936012yes—
1703C22C22×D4×D7911yescharacteristic
1704C4—21no—
1705C4—21no—
1706C4—21no—
1707C4—21no—
1708C4—41no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—3161no—
1715C4—3161no—
1716C4—3161no—
1717C4—3161no—
1718C4—3161no—
1719C4—3161no—
1720C4—792no—
1721C4—1581no—
1722C4—1581no—
1723C4—1581no—
1724C4—1581no—
1725C4—1581no—
1726C4#1909936012yes—
1727C4C2×#41×D7911yescharacteristic
1728C4C2×#41×D7911yescharacteristic
1729C2—22no—
1730C2—81no—
1731C2—81no—
1732C2—3161no—
1733C2—6321no—
1734C2—6321no—
1735C2—1582no—
1736C2#532×D7911yescharacteristic
1737C2C2×#1909936011yescharacteristic
1738C2C2×#1909936011yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3168C2
socleC22×C79C23×D4
hypercenter#3168D79
hypocenterC79#60702
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #3168

Complements

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

NH ≅ G/Ntype
1. #23776694C2semidirect
2. #529×D79C2semidirect
3. #23774131C2semidirect
4. #23774128C2semidirect
5. #23774128C2semidirect
6. #23774126C2semidirect
7. #23774104C2semidirect
8. #23774102C2semidirect
9. #23774093C2semidirect
10. #23774091C2semidirect
11. #23774004C2semidirect
12. #23774002C2semidirect
13. #23773993C2semidirect
14. #23773991C2semidirect
15. #23773970C2semidirect
16. #23773964C2semidirect
17. #23773964C2semidirect
18. #23773948C2semidirect
19. #23773861C2semidirect
20. #23773797C2semidirect
21. #23773783C2semidirect
22. #23773027C2semidirect
23. #23773023C2semidirect
24. #23773016C2semidirect
25. #23773012C2semidirect
26. C4×#14579193C2semidirect
27. C4×#14579190C2semidirect
28. C4×#14579188C2semidirect
29. C4×#14579185C2semidirect
30. C2×C4×#11929607C2semidirect
31. C79×#3168C2semidirect
39. #19099117C22semidirect
40. #19099115C22semidirect
42. #19099110C22semidirect
43. #19099108C22semidirect
47. #19099098C22semidirect
49. #19099097C22semidirect
57. #19099092C22semidirect
81. #19098971C22semidirect
82. #19098971C22semidirect
83. #19098970C22semidirect
84. #19098970C22semidirect
85. #19098965C22semidirect
86. #19098962C22semidirect
87. #19098962C22semidirect
88. #19098956C22semidirect
89. #19098954C22semidirect
90. #19098951C22semidirect
91. #19098949C22semidirect
92. #19098947C22semidirect
93. #19098945C22semidirect
94. #19098945C22semidirect
95. #19098930C22semidirect
96. #19098930C22semidirect
97. #19098926C22semidirect
98. #19098926C22semidirect
99. #19098924C22semidirect
100. #19098924C22semidirect
101. #19098921C22semidirect
102. #19098921C22semidirect
103. #19098920C22semidirect
104. #19098920C22semidirect
105. #19098918C22semidirect
106. #19098918C22semidirect
107. #19098917C22semidirect
108. #19098917C22semidirect
109. #19098822C22semidirect
110. #19098820C22semidirect
111. #19098820C22semidirect
112. #19098818C22semidirect
118. #19098812C22semidirect
120. #19098810C22semidirect
122. #19098808C22semidirect
124. #19098806C22semidirect
125. #19098804C22semidirect
126. #19098802C22semidirect
127. #19098802C22semidirect
132. #19098794C22semidirect
134. #19098792C22semidirect
136. #19098790C22semidirect
137. #19098675C22semidirect
138. #19098674C22semidirect
139. #19098672C22semidirect
140. #19098672C22semidirect
141. #19098670C22semidirect
142. #19098669C22semidirect
143. #19098667C22semidirect
144. #19098667C22semidirect
145. #19098666C22semidirect
146. #19098666C22semidirect
147. #19098664C22semidirect
148. #19098664C22semidirect
149. #19098662C22semidirect
150. #19098662C22semidirect
151. #19098660C22semidirect
152. #19098660C22semidirect
153. C4×Dic316C22semidirect
154. C4×#11929614C22semidirect
155. C4×#11929614C22semidirect
156. C4×#11929613C22semidirect
157. C4×#11929613C22semidirect
158. C4×#11929611C22semidirect
159. C4×#11929611C22semidirect
160. C4×#11929612C22semidirect
161. C4×#11929612C22semidirect
162. C4×D632C22semidirect
163. C4×#11929609C22semidirect
164. C4×#11929609C22semidirect
181. C4×#11929607C22semidirect
182. C4×#11929607C22semidirect
183. C4×#11929607C22semidirect
184. C4×#11929607C22semidirect
185. C2×#14579071C22semidirect
186. C2×#14579071C22semidirect
187. C2×C4×C79⋊C8C22semidirect
189. #529×C79C22semidirect
190. #499×C79C22semidirect
191. #495×C79C22semidirect
192. #488×C79C22semidirect
193. #488×C79C22semidirect
194. #467×C79C22semidirect
197. #465×C79C22semidirect
198. C4×Q16×C79C22semidirect
199. C4×SD16×C79C22semidirect
200. C4×SD16×C79C22semidirect
201. C4×D8×C79C22semidirect
202. C2×C4×C8×C79C22semidirect
564. #11929607#41semidirect
565. #11929607#41semidirect
887. #3168D79semidirect
901. C79#60702semidirect
933. #529C2×D79semidirect
960. #499C2×D79semidirect
968. #495C2×D79semidirect
983. #488C2×D79semidirect
984. #488C2×D79semidirect
1004. #467C2×D79semidirect
1016. #465C2×D79semidirect
1036. C4×Q16C2×D79semidirect
1043. C4×SD16C2×D79semidirect
1044. C4×SD16C2×D79semidirect
1048. C4×D8C2×D79semidirect
1072. C2×C4×C8C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237766942
#529×D792
#237741312
#237741282
#237741262
#237741042
#237741022
#237740932
#237740912
#237740042
#237740022
#237739932
#237739912
#237739702
#237739642
#237739482
#237738612
#237737972
#237737832
#237730272
#237730232
#237730162
#237730122
C4×#145791932
C4×#145791902
C4×#145791882
C4×#145791852
C2×C4×#119296072
C79×#31682
#6070279