Finite Group Databasebeta

← #35181536

Subgroups — #35181536

Order 20224.

1966 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777733C211yesmaximal, characteristic, complemented
2#23777334C211yesmaximal, characteristic, complemented
3#23776485C211yesmaximal, characteristic, complemented
4#23776439C211yesmaximal, characteristic, complemented
5#23776148C211yesmaximal, characteristic, complemented
6#23776104C211yesmaximal, characteristic, complemented
7#23775540C211yesmaximal, characteristic, complemented
8#23775425C211yesmaximal, characteristic, complemented
9#23775405C211yesmaximal, characteristic, complemented
10#23775365C211yesmaximal, characteristic, complemented
11#23775239C211yesmaximal, characteristic, complemented
12#23775206C211yesmaximal, characteristic, complemented
13#23775078C211yesmaximal, characteristic, complemented
14#23775070C211yesmaximal, characteristic, complemented
15#23774939C211yesmaximal, characteristic, complemented
16#23774884C211yesmaximal, characteristic, complemented
17#23774879C211yesmaximal, characteristic, complemented
18#23774873C211yesmaximal, characteristic, complemented
19#23774837C211yesmaximal, characteristic, complemented
20#23774809C211yesmaximal, characteristic, complemented
21#23774747C211yesmaximal, characteristic, complemented
22#23774499C211yesmaximal, characteristic, complemented
23#23774449C211yesmaximal, characteristic, complemented
24#23773641C211yesmaximal, characteristic, complemented
25#23773598C211yesmaximal, characteristic, complemented
26#23773540C211yesmaximal, characteristic, complemented
27#23772936C211yesmaximal, characteristic, complemented
28#23772898C211yesmaximal, characteristic, complemented
29C2×#19098755C211yesmaximal, characteristic, complemented
30#23772541C211yesmaximal, characteristic, complemented
31C79×#3217C211yesmaximal, characteristic, complemented
32C2×#14579188C2211yescharacteristic, complemented
33C2×#14579185C2211yescharacteristic, complemented
34C2×#14579182C2211yescharacteristic, complemented
35C22×#11929609C2211yescharacteristic, complemented
36C22×#11929609C2211yescharacteristic, complemented
37C2×D8×D79C2211yescharacteristic, complemented
38#19099300—21no—
39#19099300—21no—
40#19099299C2211yescharacteristic, complemented
41#19099295C2211yescharacteristic, complemented
42#19099269C2211yescharacteristic, complemented
43#19099266C2211yescharacteristic, complemented
44#19099257—21no—
45#19099255C2211yescharacteristic, complemented
46#19099242—21no—
47#19099237—21no—
48#19099233C2211yescharacteristic, complemented
49#19099233C2211yescharacteristic, complemented
50#19099213C2211yescharacteristic, complemented
51#19099208—21no—
52#19099207—21no—
53#19099207C2211yescharacteristic
54#19099207C2211yescharacteristic, complemented
55#19099206C2211yescharacteristic, complemented
56#19099204C2211yescharacteristic, complemented
57#19099198C2211yescharacteristic, complemented
58#19099197C2211yescharacteristic, complemented
59D4×C22⋊D79—21no—
60D4×C22⋊D79C2211yescharacteristic
61D4×C22⋊D79C2211yescharacteristic, complemented
62#19099185C2211yescharacteristic, complemented
63#19099167—21no—
64#19099167C2211yescharacteristic, complemented
65#19099167C2211yescharacteristic, complemented
66#19099164C2211yescharacteristic, complemented
67#19099154—21no—
68#19099152—21no—
69#19099126—21no—
70#19099126C2211yescharacteristic, complemented
71#19099126C2211yescharacteristic, complemented
72#19099122—21no—
73#19099122—21no—
74#19099097C2211yescharacteristic
75#19099097C2211yescharacteristic, complemented
76#19099071—21no—
77#123×D79—21no—
78#19099045C2211yescharacteristic, complemented
79#19099035C2211yescharacteristic, complemented
80C2×C4×D316C2211yescharacteristic, complemented
81#19098951C2211yescharacteristic, complemented
82#19098949C2211yescharacteristic, complemented
83#19098944C2211yescharacteristic, complemented
84#19098938C2211yescharacteristic, complemented
85#19098926C2211yescharacteristic, complemented
86#19098921C2211yescharacteristic, complemented
87#19098916C2211yescharacteristic, complemented
88#19098908C2211yescharacteristic, complemented
89#19098894C2211yescharacteristic, complemented
90#19098886C2211yescharacteristic, complemented
91#19098885C2211yescharacteristic, complemented
92#19098880C2211yescharacteristic, complemented
93#19098877C2211yescharacteristic, complemented
94#19098875C2211yescharacteristic, complemented
95#19098870C2211yescharacteristic, complemented
96#19098867C2211yescharacteristic, complemented
97#19098865C2211yescharacteristic, complemented
98#19098864C2211yescharacteristic, complemented
99#19098864C2211yescharacteristic, complemented
100#19098863C2211yescharacteristic, complemented
101#19098861C2211yescharacteristic, complemented
102#19098860C2211yescharacteristic, complemented
103#19098851C2211yescharacteristic, complemented
104#19098841C2211yescharacteristic, complemented
105#19098815C2211yescharacteristic, complemented
106#19098815C2211yescharacteristic, complemented
107#19098813C2211yescharacteristic, complemented
108#19098806C2211yescharacteristic, complemented
109#19098802C2211yescharacteristic, complemented
110#19098798C2211yescharacteristic, complemented
111#19098798C2211yescharacteristic, complemented
112#19098797C2211yescharacteristic
113#19098796C2211yescharacteristic, complemented
114#19098794C2211yescharacteristic, complemented
115#19098790C2211yescharacteristic, complemented
116#19098789C2211yescharacteristic, complemented
117#19098785C2211yescharacteristic, complemented
118#19098783C2211yescharacteristic, complemented
119#19098782C2211yescharacteristic, complemented
120#19098780C2211yescharacteristic, complemented
121#19098780C2211yescharacteristic, complemented
122#19098779C2211yescharacteristic, complemented
123#19098779C2211yescharacteristic, complemented
124#19098778C2211yescharacteristic, complemented
125#19098777C2211yescharacteristic, complemented
126#19098777C2211yescharacteristic, complemented
127#19098776C2211yescharacteristic, complemented
128#19098775C2211yescharacteristic, complemented
129#19098761C2211yescharacteristic, complemented
130#19098757C2211yescharacteristic, complemented
131#19098757C2211yescharacteristic, complemented
132#19098756C2211yescharacteristic, complemented
133#19098756C2211yescharacteristic, complemented
134#19098756C2211yescharacteristic, complemented
135#19098755C2211yescharacteristic
136#19098755C2211yescharacteristic, complemented
137#19098755C2211yescharacteristic, complemented
138#19098755C2211yescharacteristic, complemented
139#19098755C2211yescharacteristic, complemented
140#19098755C2211yescharacteristic, complemented
141#19098755C2211yescharacteristic, complemented
142#19098755C2211yescharacteristic, complemented
143#19098722C2211yescharacteristic, complemented
144#19098716C2211yescharacteristic, complemented
145#19098712C2211yescharacteristic, complemented
146#19098709C2211yescharacteristic, complemented
147#19098709C2211yescharacteristic, complemented
148#19098707C2211yescharacteristic, complemented
149#19098707C2211yescharacteristic, complemented
150#19098705C2211yescharacteristic, complemented
151#19098699C2211yescharacteristic
152#19098698C2211yescharacteristic, complemented
153#19098698C2211yescharacteristic, complemented
154#19098695C2211yescharacteristic, complemented
155#19098695C2211yescharacteristic, complemented
156#19098695C2211yescharacteristic, complemented
157#19098691C2211yescharacteristic, complemented
158#19098691C2211yescharacteristic, complemented
159#19098676C2211yescharacteristic, complemented
160#19098676C2211yescharacteristic, complemented
161#19098675C2211yescharacteristic, complemented
162#19098672C2211yescharacteristic, complemented
163#19098672C2211yescharacteristic, complemented
164#19098665C2211yescharacteristic, complemented
165#19098665C2211yescharacteristic, complemented
166#19098664C2211yescharacteristic, complemented
167SD16×Dic79C2211yescharacteristic, complemented
168D8×Dic79C2211yescharacteristic, complemented
169#19098643C2211yescharacteristic, complemented
170#19098643C2211yescharacteristic, complemented
171#19098636C2211yescharacteristic, complemented
172#19098636C2211yescharacteristic, complemented
173#19098631C2211yescharacteristic, complemented
174#19098631C2211yescharacteristic, complemented
175(C22⋊D79)⋊C8C2211yescharacteristic, complemented
176(C22⋊D79)⋊C8C2211yescharacteristic, complemented
177#19098623C2211yescharacteristic, complemented
178#19098623C2211yescharacteristic, complemented
179#19098588C2211yescharacteristic, complemented
180#19098588C2211yescharacteristic, complemented
181C2×C4⋊(C79⋊C8)C2211yescharacteristic, complemented
182#19098566C2211yescharacteristic, complemented
183#19098561C2211yescharacteristic, complemented
184#19098556C2211yescharacteristic, complemented
185C2×#14579082C2211yescharacteristic, complemented
186C2×#14579082C2211yescharacteristic, complemented
187#102×D79C2211yescharacteristic, complemented
188C2×#127×C79C2211yescharacteristic, complemented
189#529×C79C2211yescharacteristic, complemented
190#496×C79C2211yescharacteristic, complemented
191#496×C79C2211yescharacteristic, complemented
192#490×C79C2211yescharacteristic, complemented
193#490×C79C2211yescharacteristic, complemented
194#460×C79C2211yescharacteristic, complemented
195#460×C79C2211yescharacteristic, complemented
196#459×C79C2211yescharacteristic, complemented
197#459×C79C2211yescharacteristic, complemented
198#450×C79C2211yescharacteristic, complemented
199#450×C79C2211yescharacteristic, complemented
200#447×C79C2211yescharacteristic, complemented
201#447×C79C2211yescharacteristic, complemented
202#432×C79C2211yescharacteristic, complemented
203C2×#11929625C2311yescharacteristic
204C2×#11929623—21no—
205C2×#11929623—21no—
206C2×#11929623C2311yescharacteristic
207C2×#11929623C2311yescharacteristic
208C22×D316C2311yescharacteristic
209C22×C22⋊D79—21no—
210C22×C22⋊D79—21no—
211C2×D4×D79—21no—
212C2×D4×D79—21no—
213C2×D4×D79C2311yescharacteristic
214C2×D4×D79C2311yescharacteristic
215C2×D4×D79C2311yescharacteristic
216C22×C4×D79—21no—
217#14579188—42no—
218#14579185—42no—
219#14579182—42no—
220C2×#11929614C2311yescharacteristic
221C2×#11929613C2311yescharacteristic
222C2×#11929613C2311yescharacteristic
223C2×#11929612C2311yescharacteristic
224C2×#11929611C2311yescharacteristic
225C2×D632C2311yescharacteristic
226C2×D632C2311yescharacteristic
227C2×#11929609—42no—
228C2×#11929609—42no—
229C2×#11929609C2311yescharacteristic
230C2×#11929609C2311yescharacteristic
231C2×#11929609C2311yescharacteristic
232C2×#11929609C2311yescharacteristic
233C2×#11929609C2311yescharacteristic
234C2×#11929609C2311yescharacteristic
235C2×#11929609C2311yescharacteristic
236C2×#11929609C2311yescharacteristic
237C2×#11929609C2311yescharacteristic
238D8×D79—42no—
239C2×#11929607C2311yescharacteristic
240C2×#11929607C2311yescharacteristic
241C22×C79⋊C8C2311yescharacteristic
242C22×C79⋊C8C2311yescharacteristic
243C2×C8×D79C2311yescharacteristic
244C2×C8×D79C2311yescharacteristic
245#14579160C2311yescharacteristic
246#14579157—21no—
247#14579157C2311yescharacteristic
248#14579157C2311yescharacteristic
249#14579157C2311yescharacteristic
250#14579156—21no—
251#14579156—21no—
252#14579155—21no—
253#14579155—21no—
254#14579155D411yescharacteristic
255#14579155D411yescharacteristic
256#14579153D411yescharacteristic
257#14579153C2311yescharacteristic
258#14579152—21no—
259#14579152C2311yescharacteristic
260#14579150C2311yescharacteristic
261#14579149—21no—
262#14579149D411yescharacteristic
263#14579149C2311yescharacteristic
264#14579148—21no—
265#14579148C2311yescharacteristic
266#14579148C2311yescharacteristic
267#14579147—21no—
268#14579146—21no—
269#14579146—21no—
270#14579146—21no—
271#14579145—21no—
272#14579145—21no—
273#14579144—21no—
274#14579144—21no—
275#14579144D411yescharacteristic
276#14579144D411yescharacteristic
277#14579143—21no—
278#14579143—21no—
279#14579143—21no—
280#14579143—21no—
281#14579142—21no—
282#14579142—21no—
283#14579142—21no—
284#14579142—21no—
285#14579142—21no—
286#14579142—21no—
287#14579142—21no—
288#14579142—21no—
289#14579142—21no—
290#14579141—21no—
291#14579140D411yescharacteristic
292#14579140C2311yescharacteristic
293#14579139—21no—
294#14579139—21no—
295#14579139—21no—
296#14579138—21no—
297#14579137C2311yescharacteristic
298#14579136—21no—
299#14579136—21no—
300#14579136C2311yescharacteristic
301#14579136C2311yescharacteristic
302#14579135—21no—
303#14579135D411yescharacteristic
304#14579135C2311yescharacteristic
305#14579134—21no—
306#14579134—21no—
307#14579134—21no—
308#14579133—21no—
309#14579133—21no—
310#14579133—21no—
311#14579133—21no—
312#14579133—21no—
313#14579133—21no—
314#14579133—21no—
315#14579133—21no—
316#14579133—21no—
317#14579133—21no—
318#14579133—21no—
319#14579133—21no—
320#14579133—21no—
321#14579133—21no—
322#14579133—21no—
323#14579133—21no—
324#14579132—21no—
325#14579132—21no—
326#14579132C2311yescharacteristic
327#14579132C2311yescharacteristic
328#14579132C2311yescharacteristic
329#14579132C2311yescharacteristic
330#14579132C2311yescharacteristic
331#14579131—21no—
332#14579131—21no—
333#14579131—21no—
334#14579130—21no—
335#14579130—21no—
336#14579130—21no—
337#14579130—21no—
338#14579129—21no—
339#14579129—21no—
340#14579129—21no—
341#14579129—21no—
342#14579129—21no—
343#14579129—21no—
344#14579129—21no—
345#14579129—21no—
346#14579129—21no—
347Q8×Dic79C2311yescharacteristic
348C4×Dic158C2311yescharacteristic
349C4×Dic158C2311yescharacteristic
350C4×D316—21no—
351C4×D316—21no—
352C4×D316—21no—
353C4×D316C2311yescharacteristic
354C4×D316C2311yescharacteristic
355C4×D316C2311yescharacteristic
356C4×D316C2311yescharacteristic
357C4×D316C2311yescharacteristic
358C4×D316C2311yescharacteristic
359D4×Dic79—21no—
360D4×Dic79—21no—
361D4×Dic79C2311yescharacteristic
362D4×Dic79C2311yescharacteristic
363D4×Dic79C2311yescharacteristic
364D4×Dic79C2311yescharacteristic
365D4×Dic79C2311yescharacteristic
366#14579123—21no—
367#14579123—21no—
368#14579123C2311yescharacteristic
369#14579123C2311yescharacteristic
370C4×C22⋊D79—21no—
371C4×C22⋊D79—21no—
372C4×C22⋊D79C2311yescharacteristic
373C4×C22⋊D79C2311yescharacteristic
374(C22⋊D79)⋊C4—21no—
375(C22⋊D79)⋊C4—21no—
376#14579119C2311yescharacteristic
377#14579118—21no—
378#14579118—21no—
379#14579118C2311yescharacteristic
380#14579118C2311yescharacteristic
381#14579117—21no—
382C2×C4⋊Dic79C2311yescharacteristic
383C4⋊C4×D79—21no—
384C4⋊C4×D79—21no—
385C4⋊C4×D79C2311yescharacteristic
386C2×C22⋊Dic79—21no—
387C2×C22⋊Dic79—21no—
388C2×(C2×D79)⋊C4—21no—
389C2×(C2×D79)⋊C4—21no—
390C22⋊C4×D79—21no—
391C22⋊C4×D79—21no—
392C22⋊C4×D79—21no—
393#14579095C2311yescharacteristic
394#14579095C2311yescharacteristic
395#14579094C2311yescharacteristic
396#14579094C2311yescharacteristic
397#14579093C2311yescharacteristic
398#14579093C2311yescharacteristic
399#14579092C2311yescharacteristic
400#14579092C2311yescharacteristic
401C4⋊(C79⋊C8)C2311yescharacteristic
402C4⋊(C79⋊C8)C2311yescharacteristic
403C4⋊(C79⋊C8)C2311yescharacteristic
404C4⋊(C79⋊C8)C2311yescharacteristic
405Dic79⋊C8C2311yescharacteristic
406Dic79⋊C8C2311yescharacteristic
407Dic79⋊C8C2311yescharacteristic
408Dic79⋊C8C2311yescharacteristic
409#14579086C2311yescharacteristic
410#14579086C2311yescharacteristic
411#14579085C2311yescharacteristic
412#14579085C2311yescharacteristic
413#14579084C2311yescharacteristic
414#14579084C2311yescharacteristic
415#14579083C2311yescharacteristic
416#14579083C2311yescharacteristic
417#14579083C2311yescharacteristic
418#14579083C2311yescharacteristic
419#14579083C2311yescharacteristic
420#14579083C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic
427#14579082C2311yescharacteristic
428#14579082C2311yescharacteristic
429#14579082C2311yescharacteristic
430#14579082C2311yescharacteristic
431#14579081C2311yescharacteristic
432#14579081C2311yescharacteristic
433(C2×D79)⋊C8C2311yescharacteristic
434(C2×D79)⋊C8C2311yescharacteristic
435(C2×D79)⋊C8C2311yescharacteristic
436(C2×D79)⋊C8C2311yescharacteristic
437#14579071C2311yescharacteristic
438#14579071C2311yescharacteristic
439C8×Dic79C2311yescharacteristic
440C8×Dic79C2311yescharacteristic
441C22×D4×C79—21no—
442C22×D4×C79—21no—
443C22×D4×C79C2311yescharacteristic
444C22×D4×C79C2311yescharacteristic
445C2×SD16×C79C2311yescharacteristic
446C2×SD16×C79C2311yescharacteristic
447C2×SD16×C79C2311yescharacteristic
448C2×SD16×C79C2311yescharacteristic
449C2×D8×C79C2311yescharacteristic
450C2×D8×C79C2311yescharacteristic
451C2×D8×C79C2311yescharacteristic
452C2×D8×C79C2311yescharacteristic
453#127×C79—21no—
454#127×C79—21no—
455#127×C79C2311yescharacteristic
456#127×C79C2311yescharacteristic
457#127×C79C2311yescharacteristic
458#127×C79C2311yescharacteristic
459#126×C79—21no—
460#125×C79C2311yescharacteristic
461#124×C79C2311yescharacteristic
462#123×C79—21no—
463C22⋊Q8×C79C2311yescharacteristic
464#121×C79C2311yescharacteristic
465C4×Q8×C79C2311yescharacteristic
466C4×D4×C79—21no—
467C4×D4×C79C2311yescharacteristic
468#117×C79—21no—
469C2×C42×C79C2311yescharacteristic
470C4⋊C8×C79C2311yescharacteristic
471C4⋊C8×C79C2311yescharacteristic
472#102×C79C2311yescharacteristic
473#102×C79C2311yescharacteristic
474#102×C79C2311yescharacteristic
475#102×C79C2311yescharacteristic
476#102×C79C2311yescharacteristic
477#102×C79C2311yescharacteristic
478#102×C79C2311yescharacteristic
479#102×C79C2311yescharacteristic
480C22⋊C8×C79C2311yescharacteristic
481C22⋊C8×C79C2311yescharacteristic
482#97×C79C2311yescharacteristic
483#97×C79C2311yescharacteristic
484C23×D79—21no—
485C23×D79—21no—
486C23×D79—21no—
487C23×D79—21no—
488#11929625—22no—
489#11929625—41no—
490#11929623—41no—
491#11929623—41no—
492#11929623—41no—
493#11929623—41no—
494#11929623—82no—
495#11929623—82no—
496C2×Dic158—21no—
497C2×Dic158C2×D411yescharacteristic
498C2×Dic158C2411yescharacteristic
499C2×D316—21no—
500C2×D316—21no—
501C2×D316—21no—
502C2×D316—22no—
503C2×D316—21no—
504C2×D316—41no—
505C2×D316C2×D411yescharacteristic
506C2×D316C2411yescharacteristic
507C2×D316C2411yescharacteristic
508C2×D316C2411yescharacteristic
509C2×C22⋊D79—21no—
510C2×C22⋊D79—21no—
511C2×C22⋊D79—21no—
512C2×C22⋊D79—21no—
513C2×C22⋊D79—21no—
514C2×C22⋊D79—21no—
515C2×C22⋊D79—21no—
516C2×C22⋊D79—21no—
517C2×C22⋊D79—21no—
518C2×C22⋊D79—21no—
519C2×C22⋊D79—21no—
520C2×C22⋊D79—21no—
521C2×C22⋊D79—21no—
522C2×C22⋊D79—21no—
523C2×C22⋊D79—21no—
524C2×C22⋊D79—21no—
525C2×C22⋊D79—21no—
526C2×C22⋊D79—82no—
527C2×C22⋊D79—82no—
528C2×C22⋊D79C2×D411yescharacteristic
529C2×C22⋊D79C2×D411yescharacteristic
530D4×D79—22no—
531D4×D79—41no—
532D4×D79—41no—
533D4×D79—41no—
534D4×D79—41no—
535D4×D79—41no—
536D4×D79—82no—
537D4×D79—82no—
538C22×Dic79—21no—
539C22×Dic79—21no—
540C22×Dic79—21no—
541C22×Dic79—21no—
542C22×Dic79—21no—
543C22×Dic79—21no—
544C22×Dic79—21no—
545C22×Dic79—21no—
546C2×C4×D79—21no—
547C2×C4×D79—21no—
548C2×C4×D79—21no—
549C2×C4×D79—21no—
550C2×C4×D79—21no—
551C2×C4×D79—21no—
552C2×C4×D79—21no—
553C2×C4×D79—21no—
554C2×C4×D79—21no—
555C2×C4×D79—82no—
556C2×C4×D79C2411yescharacteristic
557C2×C4×D79C2411yescharacteristic
558#11929614—41no—
559#11929613—22no—
560#11929613—41no—
561#11929612—41no—
562#11929611—41no—
563D632—22no—
564D632—41no—
565#11929609—22no—
566#11929609—22no—
567#11929609—22no—
568#11929609—22no—
569#11929609—41no—
570#11929609—41no—
571#11929609—41no—
572#11929609—41no—
573#11929609—41no—
574#11929607—41no—
575#11929607—41no—
576C2×C79⋊C8—41no—
577C2×C79⋊C8—41no—
578C2×C79⋊C8C2411yescharacteristic
579C2×C79⋊C8C2411yescharacteristic
580C2×C79⋊C8C2411yescharacteristic
581C2×C79⋊C8C2411yescharacteristic
582C8×D79—41no—
583C8×D79—41no—
584C4⋊Dic79—21no—
585C4⋊Dic79—21no—
586C4⋊Dic79—21no—
587C4⋊Dic79C2×D411yescharacteristic
588C4⋊Dic79C2×D411yescharacteristic
589C4⋊Dic79C2411yescharacteristic
590C4⋊Dic79C2411yescharacteristic
591C4⋊Dic79C2411yescharacteristic
592C4⋊Dic79C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
602Dic79⋊C4C2×D411yescharacteristic
603Dic79⋊C4C2×D411yescharacteristic
604Dic79⋊C4C2×D411yescharacteristic
605Dic79⋊C4C2×D411yescharacteristic
606Dic79⋊C4C2×D411yescharacteristic
607Dic79⋊C4C2×D411yescharacteristic
608Dic79⋊C4C2×D411yescharacteristic
609C22⋊Dic79—21no—
610C22⋊Dic79—21no—
611C22⋊Dic79—21no—
612C22⋊Dic79—21no—
613C22⋊Dic79—21no—
614C22⋊Dic79—21no—
615C22⋊Dic79—21no—
616C22⋊Dic79—21no—
617C22⋊Dic79—21no—
618C22⋊Dic79—21no—
619C22⋊Dic79—21no—
620C22⋊Dic79—21no—
621C22⋊Dic79—21no—
622C22⋊Dic79—21no—
623C22⋊Dic79—21no—
624C22⋊Dic79C2×D411yescharacteristic
625C22⋊Dic79C2×D411yescharacteristic
626(C2×D79)⋊C4—21no—
627(C2×D79)⋊C4—21no—
628(C2×D79)⋊C4—21no—
629(C2×D79)⋊C4—21no—
630(C2×D79)⋊C4—21no—
631(C2×D79)⋊C4—21no—
632(C2×D79)⋊C4—21no—
633(C2×D79)⋊C4—21no—
634(C2×D79)⋊C4—21no—
635(C2×D79)⋊C4—21no—
636(C2×D79)⋊C4—21no—
637(C2×D79)⋊C4—21no—
638(C2×D79)⋊C4—21no—
639(C2×D79)⋊C4—21no—
640(C2×D79)⋊C4—21no—
641(C2×D79)⋊C4—21no—
642(C2×D79)⋊C4C2×D411yescharacteristic
643(C2×D79)⋊C4C2×D411yescharacteristic
644(C2×D79)⋊C4C2×D411yescharacteristic
645(C2×D79)⋊C4C2×D411yescharacteristic
646(C2×D79)⋊C4C2×D411yescharacteristic
647(C2×D79)⋊C4C2×D411yescharacteristic
648(C2×D79)⋊C4C2×D411yescharacteristic
649(C2×D79)⋊C4C2×D411yescharacteristic
650C4×Dic79—21no—
651C4×Dic79—21no—
652C4×Dic79—21no—
653C4×Dic79C2411yescharacteristic
654C4×Dic79C2411yescharacteristic
655C24×C79—21no—
656C24×C79—21no—
657C2×Q8×C79C2411yescharacteristic
658C2×D4×C79—21no—
659C2×D4×C79—21no—
660C2×D4×C79—21no—
661C2×D4×C79—21no—
662C2×D4×C79—21no—
663C2×D4×C79—21no—
664C2×D4×C79—21no—
665C2×D4×C79—21no—
666C2×D4×C79—21no—
667C2×D4×C79—21no—
668C2×D4×C79—21no—
669C2×D4×C79—41no—
670C2×D4×C79—41no—
671C2×D4×C79—41no—
672C2×D4×C79—41no—
673C2×D4×C79—82no—
674C2×D4×C79—82no—
675C2×D4×C79C2411yescharacteristic
676C2×D4×C79C2411yescharacteristic
677C2×D4×C79C2411yescharacteristic
678C2×D4×C79C2411yescharacteristic
679C2×D4×C79C2411yescharacteristic
680C22×C4×C79—21no—
681C22×C4×C79C2×D411yescharacteristic
682C22×C4×C79C2×D411yescharacteristic
683C22×C4×C79C2411yescharacteristic
684SD16×C79—41no—
685SD16×C79—41no—
686SD16×C79—41no—
687SD16×C79—41no—
688D8×C79—41no—
689D8×C79—41no—
690D8×C79—41no—
691D8×C79—41no—
692C2×C8×C79C2411yescharacteristic
693C2×C8×C79C2411yescharacteristic
694C2×C8×C79C2411yescharacteristic
695C2×C8×C79C2411yescharacteristic
696C4⋊C4×C79—21no—
697C4⋊C4×C79—21no—
698C4⋊C4×C79—21no—
699C4⋊C4×C79—21no—
700C4⋊C4×C79C2411yescharacteristic
701C4⋊C4×C79C2411yescharacteristic
702C22⋊C4×C79—21no—
703C22⋊C4×C79—21no—
704C22⋊C4×C79—21no—
705C22⋊C4×C79—21no—
706C22⋊C4×C79—21no—
707C42×C79—21no—
708C42×C79C2×D411yescharacteristic
709C42×C79C2×D411yescharacteristic
710C42×C79C2411yescharacteristic
711C42×C79C2411yescharacteristic
712C23×C79—21no—
713C23×C79—21no—
714C23×C79—21no—
715C23×C79—21no—
716C23×C79—21no—
717C23×C79—42no—
718C23×C79—42no—
719C23×C79—81no—
720C23×C79—81no—
721C23×C79—81no—
722C23×C79—81no—
723C23×C79C22×D411yescharacteristic
724C22×D79—21no—
725C22×D79—21no—
726C22×D79—21no—
727C22×D79—42no—
728C22×D79—42no—
729C22×D79—42no—
730C22×D79—81no—
731C22×D79—81no—
732C22×D79—81no—
733C22×D79—81no—
734C22×D79—81no—
735C22×D79—81no—
736C22×D79—81no—
737C22×D79—81no—
738C22×D79—81no—
739C22×D79C22×D411yescharacteristic
740C22×D79C22×D411yescharacteristic
741Q8×C79—21no—
742Q8×C79—21no—
743D4×C79—21no—
744D4×C79—21no—
745D4×C79—21no—
746D4×C79—21no—
747D4×C79—21no—
748D4×C79—21no—
749D4×C79—21no—
750D4×C79—21no—
751D4×C79—21no—
752D4×C79—21no—
753D4×C79—42no—
754D4×C79—42no—
755D4×C79—42no—
756D4×C79—81no—
757D4×C79—81no—
758D4×C79—81no—
759D4×C79—81no—
760D4×C79—81no—
761D4×C79—81no—
762D4×C79—81no—
763D4×C79—81no—
764C2×C4×C79—22no—
765C2×C4×C79—21no—
766C2×C4×C79—21no—
767C2×C4×C79—21no—
768C2×C4×C79—21no—
769C2×C4×C79—21no—
770C2×C4×C79—41no—
771C2×C4×C79—81no—
772C2×C4×C79C22×D411yescharacteristic
773C2×C4×C79C22×D411yescharacteristic
774C2×C4×C79C22×D411yescharacteristic
775C2×C4×C79C22×D411yescharacteristic
776C2×C4×C79C22×D411yescharacteristic
777C2×C4×C79C2511yescharacteristic
778C22⋊D79—22no—
779C22⋊D79—22no—
780C22⋊D79—42no—
781C22⋊D79—42no—
782C22⋊D79—81no—
783C22⋊D79—81no—
784C22⋊D79—81no—
785C22⋊D79—81no—
786C22⋊D79—81no—
787C22⋊D79—81no—
788C22⋊D79—81no—
789C22⋊D79—81no—
790C22⋊D79—81no—
791C22⋊D79—81no—
792C22⋊D79—81no—
793C22⋊D79—81no—
794C22⋊D79—81no—
795C22⋊D79—81no—
796C22⋊D79—81no—
797C2×Dic79—21no—
798C2×Dic79—21no—
799C2×Dic79—21no—
800C2×Dic79—21no—
801C2×Dic79—21no—
802C2×Dic79—42no—
803C2×Dic79—81no—
804C2×Dic79—81no—
805C2×Dic79—81no—
806C2×Dic79—81no—
807C2×Dic79—81no—
808C2×Dic79—81no—
809C2×Dic79—81no—
810C2×Dic79C22×D411yescharacteristic
811C2×Dic79C22×D411yescharacteristic
812C2×Dic79C22×D411yescharacteristic
813C2×Dic79C22×D411yescharacteristic
814C2×Dic79C22×D411yescharacteristic
815C2×Dic79C22×D411yescharacteristic
816D316—21no—
817D316—21no—
818D316—21no—
819D316—21no—
820D316—21no—
821D316—41no—
822D316—42no—
823D316—42no—
824D316—81no—
825D316—81no—
826D316H(5,𝔽2)12yes—
827C4×D79—21no—
828C4×D79—21no—
829C4×D79—21no—
830C4×D79—21no—
831C4×D79—42no—
832C4×D79—42no—
833C4×D79—81no—
834C4×D79—81no—
835C4×D79—81no—
836C4×D79—81no—
837C4×D79—81no—
838C4×D79—81no—
839C4×D79—81no—
840Dic158—21no—
841Dic158—21no—
842Dic158—41no—
843Dic158—81no—
844C8×C79—21no—
845C8×C79—21no—
846C8×C79—21no—
847C8×C79—21no—
848C79⋊C8—21no—
849C79⋊C8—21no—
850C79⋊C8—21no—
851C79⋊C8—21no—
852C22×C79—21no—
853C22×C79—21no—
854C22×C79—41no—
855C22×C79—41no—
856C22×C79—41no—
857C22×C79—41no—
858C22×C79—41no—
859C22×C79—41no—
860C22×C79—41no—
861C22×C79—41no—
862C22×C79—41no—
863C22×C79—41no—
864C22×C79—41no—
865C22×C79—41no—
866C22×C79—41no—
867C22×C79—41no—
868C22×C79—41no—
869C22×C79—162no—
870C22×C79—162no—
871C22×C79#57612yes—
872C22×C79C23×D411yescharacteristic
873C2×D79—21no—
874C2×D79—21no—
875C2×D79—22no—
876C2×D79—21no—
877C2×D79—21no—
878C2×D79—21no—
879C2×D79—21no—
880C2×D79—41no—
881C2×D79—41no—
882C2×D79—41no—
883C2×D79—41no—
884C2×D79—41no—
885C2×D79—41no—
886C2×D79—41no—
887C2×D79—41no—
888C2×D79—84no—
889C2×D79—162no—
890C2×D79—162no—
891C2×D79—162no—
892C4×C79—21no—
893C4×C79—21no—
894C4×C79—21no—
895C4×C79—21no—
896C4×C79—21no—
897C4×C79—41no—
898C4×C79—41no—
899C4×C79—41no—
900C4×C79C2×H(5,𝔽2)11yescharacteristic
901C4×C79#58511yescharacteristic
902Dic79—21no—
903Dic79—21no—
904Dic79—21no—
905Dic79—21no—
906Dic79—21no—
907Dic79—21no—
908Dic79—41no—
909Dic79—41no—
910Dic79—41no—
911Dic79—41no—
912Dic79—41no—
913#62007—791nomaximal, Sylow
914C2×C79—22no—
915C2×C79—81no—
916C2×C79—81no—
917C2×C79—81no—
918C2×C79—81no—
919C2×C79—81no—
920C2×C79#348811yescharacteristic
921C2×C79C2×#57611yescharacteristic
922C2×C79#358511yescharacteristic
923D79—41no—
924D79—41no—
925D79—42no—
926D79—81no—
927D79—81no—
928#3543—791no—
929#3513—791no—
930#3403—791no—
931#3399—791no—
932#3370—791no—
933#3366—791no—
934#3318—791no—
935#3310—791no—
936#3309—791no—
937#3306—791no—
938#3296—791no—
939#3294—791no—
940#3280—791no—
941D4×D8—791no—
942#3268—791no—
943#3264—791no—
944#3264—791no—
945#3264—791no—
946#3259—791no—
947#3257—791no—
948#3250—791no—
949#3224—791no—
950#3220—791no—
951#3217D7911yescharacteristic, complemented
952#3122—791no—
953#3119—791no—
954#3114—791no—
955#3045—791no—
956#3041—791no—
957C2×#459—791no—
958#2992—791no—
959C79#6200711yescharacteristic, complemented, Sylow
960C2×AGL(1,ℤ/8)—791no—
961C2×AGL(1,ℤ/8)—791no—
962C2×#135—791no—
963C22×D8—791no—
964C22×D8—791no—
965C22×D8—791no—
966#560—1581no—
967#560—1581no—
968#559—791no—
969#559—791no—
970#554—791no—
971#553—791no—
972#553—1581no—
973#552—791no—
974#551—1581no—
975#551—1581no—
976#550—791no—
977#550—791no—
978#547—791no—
979#546—791no—
980#546—791no—
981#546—791no—
982#546—791no—
983#546—1581no—
984#546—1581no—
985D42—791no—
986D42—791no—
987D42—791no—
988D42—791no—
989D42—1581no—
990#542—791no—
991#540—791no—
992#540—791no—
993#540—791no—
994#540—1581no—
995#539—1581no—
996#538—1581no—
997#535—791no—
998#535—791no—
999#535—1581no—
1000#534—1581no—
1001#534—1581no—
1002C2×#127C2×D7911yescharacteristic, complemented
1003#529—791no—
1004#529—791no—
1005#529C2×D7911yescharacteristic, complemented
1006#525—1581no—
1007C2×#123—1581no—
1008#520—791no—
1009#518—791no—
1010C2×C4×D4—791no—
1011#496—791no—
1012#496—791no—
1013#496C2×D7911yescharacteristic, complemented
1014#496C2×D7911yescharacteristic, complemented
1015#495—791no—
1016#493—791no—
1017#490—791no—
1018#490C2×D7911yescharacteristic, complemented
1019#490C2×D7911yescharacteristic, complemented
1020#489—791no—
1021#488—791no—
1022#486—791no—
1023#483—791no—
1024#482—791no—
1025#482—791no—
1026#481—791no—
1027#480—791no—
1028#480—791no—
1029#479—791no—
1030#479—791no—
1031#478—791no—
1032#478—791no—
1033#478—791no—
1034#478—791no—
1035#478—791no—
1036#478—791no—
1037#476—791no—
1038#474—791no—
1039#469—791no—
1040#469—791no—
1041#469—791no—
1042#468—791no—
1043#467—791no—
1044#466—791no—
1045#466—791no—
1046#466—791no—
1047#466—791no—
1048#465—791no—
1049#465—791no—
1050#465—791no—
1051#464—791no—
1052#464—791no—
1053#464—791no—
1054#463—791no—
1055#463—791no—
1056#463—791no—
1057#463—791no—
1058#463—791no—
1059#463—791no—
1060#463—791no—
1061#463—791no—
1062#463—791no—
1063#460—791no—
1064#460C2×D7911yescharacteristic, complemented
1065#460C2×D7911yescharacteristic, complemented
1066#459—791no—
1067#459—791no—
1068#459—791no—
1069#459—791no—
1070#459—791no—
1071#459—791no—
1072#459—791no—
1073#459—791no—
1074#459—791no—
1075#459—791no—
1076#459—791no—
1077#459—791no—
1078#459—791no—
1079#459C2×D7911yescharacteristic, complemented
1080#459C2×D7911yescharacteristic, complemented
1081#452—791no—
1082#450—791no—
1083#450—791no—
1084#450C2×D7911yescharacteristic, complemented
1085#450C2×D7911yescharacteristic, complemented
1086#449—791no—
1087#449—791no—
1088#449—791no—
1089#449—791no—
1090#449—791no—
1091#447—791no—
1092#447—791no—
1093#447—791no—
1094#447—791no—
1095#447—791no—
1096#447—791no—
1097#447C2×D7911yescharacteristic, complemented
1098#447C2×D7911yescharacteristic, complemented
1099#446—791no—
1100#446—791no—
1101#442—791no—
1102#442—791no—
1103#442—791no—
1104#442—791no—
1105#442—791no—
1106#440—791no—
1107#440—791no—
1108#440—791no—
1109C4×SD16—791no—
1110C4×D8—791no—
1111C4×D8—791no—
1112C4×D8—791no—
1113#435—791no—
1114#435—791no—
1115#435—791no—
1116#435—791no—
1117C8×D4—791no—
1118C8×D4—791no—
1119#433—791no—
1120#433—791no—
1121#432C2×D7911yescharacteristic, complemented
1122#424—791no—
1123#424—791no—
1124C2×C4⋊C8—791no—
1125#418—791no—
1126#417—791no—
1127#416—791no—
1128C2×#102—791no—
1129C2×#102—791no—
1130C2×#102—791no—
1131C2×#41—791no—
1132C2×#41—791no—
1133C2×#41—791no—
1134C2×#41—1581no—
1135C2×#41—1581no—
1136C22×D4—21no—
1137C22×D4—21no—
1138C22×D4—791no—
1139C22×D4—791no—
1140C22×D4—791no—
1141C22×D4—791no—
1142C22×D4—1581no—
1143C22×D4—1581no—
1144C22×D4—1581no—
1145C22×D4—1581no—
1146C22×D4C22×D7911yescharacteristic
1147C22×D4C22×D7911yescharacteristic
1148C23×C4—1581no—
1149AGL(1,ℤ/8)—3162no—
1150AGL(1,ℤ/8)—3162no—
1151#135—3162no—
1152C2×Q16—791no—
1153C2×SD16—791no—
1154C2×SD16—791no—
1155C2×SD16—791no—
1156C2×SD16—791no—
1157C2×SD16C22×D7911yescharacteristic
1158C2×SD16C22×D7911yescharacteristic
1159C2×SD16C22×D7911yescharacteristic
1160C2×SD16C22×D7911yescharacteristic
1161C2×D8—3162no—
1162C2×D8—3162no—
1163C2×D8—3162no—
1164C2×D8—791no—
1165C2×D8—791no—
1166C2×D8—791no—
1167C2×D8—791no—
1168C2×D8—791no—
1169C2×D8—791no—
1170C2×D8—791no—
1171C2×D8—791no—
1172C2×D8—791no—
1173C2×D8—791no—
1174C2×D8—791no—
1175C2×D8C22×D7911yescharacteristic
1176C2×D8C22×D7911yescharacteristic
1177C2×D8C22×D7911yescharacteristic
1178C2×D8C22×D7911yescharacteristic
1179C2×M16—791no—
1180C2×M16—791no—
1181C22×C8—791no—
1182C22×C8—791no—
1183C22×C8—791no—
1184C22×C8—791no—
1185C4⋊Q8—791no—
1186#127—21no—
1187#127—21no—
1188#127—791no—
1189#127—791no—
1190#127—791no—
1191#127—1581no—
1192#127C22×D7911yescharacteristic
1193#127C22×D7911yescharacteristic
1194#127C22×D7911yescharacteristic
1195#127C22×D7911yescharacteristic
1196#126—21no—
1197#126—791no—
1198#126—791no—
1199#126—1581no—
1200#126—1581no—
1201#126—1581no—
1202#126—1581no—
1203#125—791no—
1204#125—791no—
1205#125—791no—
1206#125—1581no—
1207#125C22×D7911yescharacteristic
1208#124—791no—
1209#124—791no—
1210#124—791no—
1211#124—791no—
1212#124—791no—
1213#124—1581no—
1214#124—1581no—
1215#124—1581no—
1216#124C22×D7911yescharacteristic
1217#123—21no—
1218#123—791no—
1219#123—791no—
1220#123—1581no—
1221#123—1581no—
1222#123—1581no—
1223#123—1581no—
1224#123—1581no—
1225#123—1581no—
1226#123—1581no—
1227#123—1581no—
1228#123—1581no—
1229#123—1581no—
1230#123—1581no—
1231#123—1581no—
1232#123—1581no—
1233#123—1581no—
1234#123—1581no—
1235#123—1581no—
1236#123—1581no—
1237#123—1581no—
1238#123—1581no—
1239#123—1581no—
1240C22⋊Q8—791no—
1241C22⋊Q8—791no—
1242C22⋊Q8—791no—
1243C22⋊Q8—1581no—
1244C22⋊Q8—1581no—
1245C22⋊Q8—1581no—
1246C22⋊Q8—1581no—
1247C22⋊Q8—1581no—
1248C22⋊Q8C22×D7911yescharacteristic
1249#121—791no—
1250#121—791no—
1251#121—791no—
1252#121—791no—
1253#121—791no—
1254#121—791no—
1255#121—791no—
1256#121—791no—
1257#121—791no—
1258#121—1581no—
1259#121—1581no—
1260#121—1581no—
1261#121—1581no—
1262#121—1581no—
1263#121—1581no—
1264#121—1581no—
1265#121—1581no—
1266#121—1581no—
1267#121—1581no—
1268#121—1581no—
1269#121—1581no—
1270#121—1581no—
1271#121—1581no—
1272#121—1581no—
1273#121—1581no—
1274#121—1581no—
1275#121—1581no—
1276#121—1581no—
1277#121—1581no—
1278#121—1581no—
1279#121—1581no—
1280#121—1581no—
1281#121—1581no—
1282#121C22×D7911yescharacteristic
1283#120—1581no—
1284#120—1581no—
1285#120—1581no—
1286#120—1581no—
1287#120—1581no—
1288#120—1581no—
1289#120—1581no—
1290#120—1581no—
1291#120—1581no—
1292#120—1581no—
1293#120—1581no—
1294#120—1581no—
1295#120—1581no—
1296#120—1581no—
1297#120—1581no—
1298#120—1581no—
1299C4×Q8—791no—
1300C4×Q8—791no—
1301C4×Q8—791no—
1302C4×Q8C22×D7911yescharacteristic
1303C4×D4—21no—
1304C4×D4—791no—
1305C4×D4—791no—
1306C4×D4—791no—
1307C4×D4—791no—
1308C4×D4—791no—
1309C4×D4—791no—
1310C4×D4—791no—
1311C4×D4—791no—
1312C4×D4—791no—
1313C4×D4—791no—
1314C4×D4—791no—
1315C4×D4—791no—
1316C4×D4—791no—
1317C4×D4—791no—
1318C4×D4—791no—
1319C4×D4—1581no—
1320C4×D4—1581no—
1321C4×D4—1581no—
1322C4×D4—1581no—
1323C4×D4—1581no—
1324C4×D4—1581no—
1325C4×D4—1581no—
1326C4×D4—1581no—
1327C4×D4—1581no—
1328C4×D4—1581no—
1329C4×D4—1581no—
1330C4×D4C22×D7911yescharacteristic
1331#117—21no—
1332#117—791no—
1333#117—791no—
1334#117—791no—
1335#117—1581no—
1336#117—1581no—
1337#117—1581no—
1338C2×C4⋊C4—791no—
1339C2×C4⋊C4—791no—
1340C2×C4⋊C4—1581no—
1341C2×C4⋊C4—1581no—
1342C2×C22⋊C4—1581no—
1343C2×C22⋊C4—1581no—
1344C2×C22⋊C4—1581no—
1345C2×C22⋊C4—1581no—
1346C2×C22⋊C4—1581no—
1347C2×C22⋊C4—1581no—
1348C2×C22⋊C4—1581no—
1349C2×C42C22×D7911yescharacteristic
1350#107—791no—
1351#107—791no—
1352#107—791no—
1353#107—791no—
1354#106—791no—
1355#106—791no—
1356#106—791no—
1357#106—791no—
1358C4⋊C8—791no—
1359C4⋊C8—791no—
1360C4⋊C8—791no—
1361C4⋊C8—791no—
1362C4⋊C8—791no—
1363C4⋊C8—791no—
1364C4⋊C8—791no—
1365C4⋊C8—791no—
1366C4⋊C8C22×D7911yescharacteristic
1367C4⋊C8C22×D7911yescharacteristic
1368#103—791no—
1369#103—791no—
1370#103—791no—
1371#103—791no—
1372#103—791no—
1373#103—791no—
1374#102—791no—
1375#102—791no—
1376#102—791no—
1377#102—791no—
1378#102—791no—
1379#102—791no—
1380#102—791no—
1381#102—791no—
1382#102—791no—
1383#102—791no—
1384#102—791no—
1385#102—791no—
1386#102—791no—
1387#102—791no—
1388#102—791no—
1389#102—791no—
1390#102—791no—
1391#102—791no—
1392#102C22×D7911yescharacteristic
1393#102C22×D7911yescharacteristic
1394#102C22×D7911yescharacteristic
1395#102C22×D7911yescharacteristic
1396#102C22×D7911yescharacteristic
1397#102C22×D7911yescharacteristic
1398#102C22×D7911yescharacteristic
1399#102C22×D7911yescharacteristic
1400C22⋊C8—791no—
1401C22⋊C8—791no—
1402C22⋊C8—791no—
1403C22⋊C8—791no—
1404C22⋊C8C22×D7911yescharacteristic
1405C22⋊C8C22×D7911yescharacteristic
1406#97—791no—
1407#97—791no—
1408#97C22×D7911yescharacteristic
1409#97C22×D7911yescharacteristic
1410C4×C8—791no—
1411C4×C8—791no—
1412C24—21no—
1413C24—21no—
1414C24—1581no—
1415C24—1581no—
1416C24—1581no—
1417C24—1581no—
1418#41—3161no—
1419#41—3161no—
1420#41—3161no—
1421#41—3161no—
1422#41—3161no—
1423#41—6322no—
1424#41—6322no—
1425#41—1582no—
1426C2×Q8—791no—
1427C2×Q8—791no—
1428C2×Q8—1581no—
1429C2×Q8C23×D7911yescharacteristic
1430C2×D4—21no—
1431C2×D4—21no—
1432C2×D4—21no—
1433C2×D4—21no—
1434C2×D4—21no—
1435C2×D4—21no—
1436C2×D4—21no—
1437C2×D4—21no—
1438C2×D4—21no—
1439C2×D4—21no—
1440C2×D4—21no—
1441C2×D4—41no—
1442C2×D4—41no—
1443C2×D4—41no—
1444C2×D4—41no—
1445C2×D4—82no—
1446C2×D4—82no—
1447C2×D4—3161no—
1448C2×D4—3161no—
1449C2×D4—3161no—
1450C2×D4—3161no—
1451C2×D4—3161no—
1452C2×D4—3161no—
1453C2×D4—791no—
1454C2×D4—791no—
1455C2×D4—791no—
1456C2×D4—791no—
1457C2×D4—791no—
1458C2×D4—791no—
1459C2×D4—6322no—
1460C2×D4—6322no—
1461C2×D4—6322no—
1462C2×D4—6322no—
1463C2×D4—1581no—
1464C2×D4—1582no—
1465C2×D4—1581no—
1466C2×D4—1581no—
1467C2×D4—1581no—
1468C2×D4—1581no—
1469C2×D4—1581no—
1470C2×D4—1581no—
1471C2×D4—1581no—
1472C2×D4—1581no—
1473C2×D4—1581no—
1474C2×D4—1581no—
1475C2×D4—1581no—
1476C2×D4—1582no—
1477C2×D4—1581no—
1478C2×D4—1581no—
1479C2×D4—1581no—
1480C2×D4—1581no—
1481C2×D4—1581no—
1482C2×D4—1581no—
1483C2×D4—1581no—
1484C2×D4—1581no—
1485C2×D4—1581no—
1486C2×D4C23×D7911yescharacteristic
1487C2×D4C23×D7911yescharacteristic
1488C2×D4C23×D7911yescharacteristic
1489C2×D4C23×D7911yescharacteristic
1490C2×D4C23×D7911yescharacteristic
1491C22×C4—21no—
1492C22×C4—791no—
1493C22×C4—791no—
1494C22×C4—6322no—
1495C22×C4—1581no—
1496C22×C4—1581no—
1497C22×C4—1581no—
1498C22×C4—1581no—
1499C22×C4—1581no—
1500C22×C4—1581no—
1501C22×C4—1581no—
1502C22×C4—1581no—
1503C22×C4—1581no—
1504C22×C4—1581no—
1505C22×C4—1581no—
1506C22×C4—1581no—
1507C22×C4—1581no—
1508C22×C4—1581no—
1509C22×C4—1581no—
1510C22×C4—1581no—
1511C22×C4—1581no—
1512C22×C4D4×D7911yescharacteristic
1513C22×C4D4×D7911yescharacteristic
1514C22×C4C23×D7911yescharacteristic
1515Q16—3161no—
1516SD16—41no—
1517SD16—41no—
1518SD16—41no—
1519SD16—41no—
1520SD16—3161no—
1521SD16—3161no—
1522SD16—3161no—
1523SD16—1582no—
1524D8—41no—
1525D8—41no—
1526D8—41no—
1527D8—41no—
1528D8—3161no—
1529D8—3161no—
1530D8—3161no—
1531D8—3161no—
1532D8—3161no—
1533D8—3161no—
1534D8—1582no—
1535D8—1582no—
1536D8—1582no—
1537D8—1582no—
1538D8—1582no—
1539M16—3161no—
1540M16—3161no—
1541C2×C8—3161no—
1542C2×C8—3161no—
1543C2×C8—3161no—
1544C2×C8—3161no—
1545C2×C8—791no—
1546C2×C8—791no—
1547C2×C8—791no—
1548C2×C8—791no—
1549C2×C8C23×D7911yescharacteristic
1550C2×C8C23×D7911yescharacteristic
1551C2×C8C23×D7911yescharacteristic
1552C2×C8C23×D7911yescharacteristic
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—791no—
1558C4⋊C4—791no—
1559C4⋊C4—791no—
1560C4⋊C4—791no—
1561C4⋊C4—791no—
1562C4⋊C4—791no—
1563C4⋊C4—791no—
1564C4⋊C4—791no—
1565C4⋊C4—791no—
1566C4⋊C4—791no—
1567C4⋊C4—791no—
1568C4⋊C4—791no—
1569C4⋊C4—791no—
1570C4⋊C4—791no—
1571C4⋊C4—1581no—
1572C4⋊C4—1581no—
1573C4⋊C4—1581no—
1574C4⋊C4—1581no—
1575C4⋊C4—1581no—
1576C4⋊C4—1581no—
1577C4⋊C4—1581no—
1578C4⋊C4—1581no—
1579C4⋊C4—1581no—
1580C4⋊C4—1581no—
1581C4⋊C4—1581no—
1582C4⋊C4C23×D7911yescharacteristic
1583C4⋊C4C23×D7911yescharacteristic
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—791no—
1590C22⋊C4—791no—
1591C22⋊C4—791no—
1592C22⋊C4—791no—
1593C22⋊C4—791no—
1594C22⋊C4—791no—
1595C22⋊C4—791no—
1596C22⋊C4—791no—
1597C22⋊C4—791no—
1598C22⋊C4—791no—
1599C22⋊C4—1581no—
1600C22⋊C4—1581no—
1601C22⋊C4—1581no—
1602C22⋊C4—1581no—
1603C22⋊C4—1581no—
1604C22⋊C4—1581no—
1605C22⋊C4—1581no—
1606C22⋊C4—1581no—
1607C22⋊C4—1581no—
1608C22⋊C4—1581no—
1609C22⋊C4—1581no—
1610C22⋊C4—1581no—
1611C22⋊C4—1581no—
1612C22⋊C4—1581no—
1613C22⋊C4—1581no—
1614C22⋊C4—1581no—
1615C22⋊C4—1581no—
1616C22⋊C4—1581no—
1617C22⋊C4—1581no—
1618C22⋊C4—1581no—
1619C22⋊C4—1581no—
1620C22⋊C4—1581no—
1621C22⋊C4—1581no—
1622C22⋊C4—1581no—
1623C22⋊C4—1581no—
1624C22⋊C4—1581no—
1625C22⋊C4—1581no—
1626C22⋊C4—1581no—
1627C22⋊C4—1581no—
1628C22⋊C4—1581no—
1629C22⋊C4—1581no—
1630C42—21no—
1631C42—791no—
1632C42—791no—
1633C42—1581no—
1634C42—1581no—
1635C42—1581no—
1636C42D4×D7911yescharacteristic
1637C42D4×D7911yescharacteristic
1638C42C23×D7911yescharacteristic
1639C42C23×D7911yescharacteristic
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—42no—
1646C23—42no—
1647C23—81no—
1648C23—81no—
1649C23—81no—
1650C23—81no—
1651C23—3162no—
1652C23—3162no—
1653C23—3162no—
1654C23—791no—
1655C23—791no—
1656C23—6321no—
1657C23—6321no—
1658C23—6321no—
1659C23—6321no—
1660C23—6321no—
1661C23—6321no—
1662C23—6321no—
1663C23—6321no—
1664C23—6321no—
1665C23—1581no—
1666C23—1581no—
1667C23—1581no—
1668C23C2×D4×D7911yescharacteristic
1669Q8—21no—
1670Q8—21no—
1671Q8—3161no—
1672Q8—6321no—
1673Q8—1581no—
1674Q8—1581no—
1675D4—21no—
1676D4—21no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—21no—
1683D4—21no—
1684D4—21no—
1685D4—42no—
1686D4—42no—
1687D4—42no—
1688D4—81no—
1689D4—81no—
1690D4—81no—
1691D4—81no—
1692D4—81no—
1693D4—81no—
1694D4—81no—
1695D4—81no—
1696D4—3162no—
1697D4—3161no—
1698D4—3162no—
1699D4—3162no—
1700D4—3162no—
1701D4—792no—
1702D4—6321no—
1703D4—6321no—
1704D4—6321no—
1705D4—6321no—
1706D4—6321no—
1707D4—6321no—
1708D4—6321no—
1709D4—6321no—
1710D4—6321no—
1711D4—6321no—
1712D4—6321no—
1713D4—6321no—
1714D4—6321no—
1715D4—6321no—
1716D4—6321no—
1717D4—6321no—
1718D4—6321no—
1719D4—1582no—
1720D4—1582no—
1721D4—1581no—
1722D4—1581no—
1723D4—1581no—
1724D4—1581no—
1725D4—1581no—
1726C2×C4—22no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—41no—
1733C2×C4—81no—
1734C2×C4—3162no—
1735C2×C4—3162no—
1736C2×C4—3162no—
1737C2×C4—791no—
1738C2×C4—791no—
1739C2×C4—791no—
1740C2×C4—791no—
1741C2×C4—791no—
1742C2×C4—791no—
1743C2×C4—6321no—
1744C2×C4—6321no—
1745C2×C4—6321no—
1746C2×C4—6321no—
1747C2×C4—6321no—
1748C2×C4—6321no—
1749C2×C4—6321no—
1750C2×C4—6321no—
1751C2×C4—6321no—
1752C2×C4—6321no—
1753C2×C4—6321no—
1754C2×C4—6321no—
1755C2×C4—6321no—
1756C2×C4—6321no—
1757C2×C4—1581no—
1758C2×C4—1581no—
1759C2×C4—1581no—
1760C2×C4—1581no—
1761C2×C4—1581no—
1762C2×C4—1581no—
1763C2×C4—1581no—
1764C2×C4—1581no—
1765C2×C4—1581no—
1766C2×C4C2×D4×D7911yescharacteristic
1767C2×C4C2×D4×D7911yescharacteristic
1768C2×C4C2×D4×D7911yescharacteristic
1769C2×C4C2×D4×D7911yescharacteristic
1770C2×C4C2×D4×D7911yescharacteristic
1771C2×C4C24×D7911yescharacteristic
1772C8—21no—
1773C8—21no—
1774C8—21no—
1775C8—21no—
1776C8—1581no—
1777C8—1581no—
1778C8—1581no—
1779C8—1581no—
1780C22—21no—
1781C22—21no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—162no—
1798C22—162no—
1799C22—3161no—
1800C22—3161no—
1801C22—3161no—
1802C22—3161no—
1803C22—3161no—
1804C22—3161no—
1805C22—3161no—
1806C22—3161no—
1807C22—6324no—
1808C22—1582no—
1809C22—1581no—
1810C22—1581no—
1811C22—1581no—
1812C22—1581no—
1813C22—1581no—
1814C22—1581no—
1815C22—12642no—
1816C22—12642no—
1817C22—12642no—
1818C22#1909936712yes—
1819C22C22×D4×D7911yescharacteristic
1820C4—21no—
1821C4—21no—
1822C4—21no—
1823C4—21no—
1824C4—21no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—3161no—
1829C4—3161no—
1830C4—3161no—
1831C4—3161no—
1832C4—3161no—
1833C4—1581no—
1834C4—1581no—
1835C4—1581no—
1836C4—1581no—
1837C4—1581no—
1838C4—1581no—
1839C4H(5,𝔽2)×D7911yescharacteristic
1840C4#1909939811yescharacteristic
1841C2—22no—
1842C2—81no—
1843C2—81no—
1844C2—81no—
1845C2—81no—
1846C2—81no—
1847C2—3162no—
1848C2—3161no—
1849C2—3161no—
1850C2—6321no—
1851C2—6321no—
1852C2#2377706711yescharacteristic
1853C2C2×#1909936711yescharacteristic
1854C2#2377817611yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3217C2
socleC22×C79C23×D4
hypercenter#3217D79
hypocenterC79#62007
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3217

Complements

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

NH ≅ G/Ntype
1. #23777733C2semidirect
2. #23777334C2semidirect
3. #23776485C2semidirect
4. #23776439C2semidirect
5. #23776148C2semidirect
6. #23776104C2semidirect
7. #23775540C2semidirect
8. #23775425C2semidirect
9. #23775405C2semidirect
10. #23775365C2semidirect
11. #23775239C2semidirect
12. #23775206C2semidirect
13. #23775078C2semidirect
14. #23775070C2semidirect
15. #23774939C2semidirect
16. #23774884C2semidirect
17. #23774879C2semidirect
18. #23774873C2semidirect
19. #23774837C2semidirect
20. #23774809C2semidirect
21. #23774747C2semidirect
22. #23774499C2semidirect
23. #23774449C2semidirect
24. #23773641C2semidirect
25. #23773598C2semidirect
26. #23773540C2semidirect
27. #23772936C2semidirect
28. #23772898C2semidirect
29. C2×#19098755C2semidirect
30. #23772541C2semidirect
31. C79×#3217C2semidirect
32. C2×#14579188C22semidirect
33. C2×#14579185C22semidirect
34. C2×#14579182C22semidirect
35. C22×#11929609C22semidirect
36. C22×#11929609C22semidirect
37. C2×D8×D79C22semidirect
40. #19099299C22semidirect
41. #19099295C22semidirect
42. #19099269C22semidirect
43. #19099266C22semidirect
45. #19099255C22semidirect
48. #19099233C22semidirect
49. #19099233C22semidirect
50. #19099213C22semidirect
54. #19099207C22semidirect
55. #19099206C22semidirect
56. #19099204C22semidirect
57. #19099198C22semidirect
58. #19099197C22semidirect
61. D4×C22⋊D79C22semidirect
62. #19099185C22semidirect
64. #19099167C22semidirect
65. #19099167C22semidirect
66. #19099164C22semidirect
70. #19099126C22semidirect
71. #19099126C22semidirect
75. #19099097C22semidirect
78. #19099045C22semidirect
79. #19099035C22semidirect
80. C2×C4×D316C22semidirect
81. #19098951C22semidirect
82. #19098949C22semidirect
83. #19098944C22semidirect
84. #19098938C22semidirect
85. #19098926C22semidirect
86. #19098921C22semidirect
87. #19098916C22semidirect
88. #19098908C22semidirect
89. #19098894C22semidirect
90. #19098886C22semidirect
91. #19098885C22semidirect
92. #19098880C22semidirect
93. #19098877C22semidirect
94. #19098875C22semidirect
95. #19098870C22semidirect
96. #19098867C22semidirect
97. #19098865C22semidirect
98. #19098864C22semidirect
99. #19098864C22semidirect
100. #19098863C22semidirect
101. #19098861C22semidirect
102. #19098860C22semidirect
103. #19098851C22semidirect
104. #19098841C22semidirect
105. #19098815C22semidirect
106. #19098815C22semidirect
107. #19098813C22semidirect
108. #19098806C22semidirect
109. #19098802C22semidirect
110. #19098798C22semidirect
111. #19098798C22semidirect
113. #19098796C22semidirect
114. #19098794C22semidirect
115. #19098790C22semidirect
116. #19098789C22semidirect
117. #19098785C22semidirect
118. #19098783C22semidirect
119. #19098782C22semidirect
120. #19098780C22semidirect
121. #19098780C22semidirect
122. #19098779C22semidirect
123. #19098779C22semidirect
124. #19098778C22semidirect
125. #19098777C22semidirect
126. #19098777C22semidirect
127. #19098776C22semidirect
128. #19098775C22semidirect
129. #19098761C22semidirect
130. #19098757C22semidirect
131. #19098757C22semidirect
132. #19098756C22semidirect
133. #19098756C22semidirect
134. #19098756C22semidirect
136. #19098755C22semidirect
137. #19098755C22semidirect
138. #19098755C22semidirect
139. #19098755C22semidirect
140. #19098755C22semidirect
141. #19098755C22semidirect
142. #19098755C22semidirect
143. #19098722C22semidirect
144. #19098716C22semidirect
145. #19098712C22semidirect
146. #19098709C22semidirect
147. #19098709C22semidirect
148. #19098707C22semidirect
149. #19098707C22semidirect
150. #19098705C22semidirect
152. #19098698C22semidirect
153. #19098698C22semidirect
154. #19098695C22semidirect
155. #19098695C22semidirect
156. #19098695C22semidirect
157. #19098691C22semidirect
158. #19098691C22semidirect
159. #19098676C22semidirect
160. #19098676C22semidirect
161. #19098675C22semidirect
162. #19098672C22semidirect
163. #19098672C22semidirect
164. #19098665C22semidirect
165. #19098665C22semidirect
166. #19098664C22semidirect
167. SD16×Dic79C22semidirect
168. D8×Dic79C22semidirect
169. #19098643C22semidirect
170. #19098643C22semidirect
171. #19098636C22semidirect
172. #19098636C22semidirect
173. #19098631C22semidirect
174. #19098631C22semidirect
175. (C22⋊D79)⋊C8C22semidirect
176. (C22⋊D79)⋊C8C22semidirect
177. #19098623C22semidirect
178. #19098623C22semidirect
179. #19098588C22semidirect
180. #19098588C22semidirect
181. C2×C4⋊(C79⋊C8)C22semidirect
182. #19098566C22semidirect
183. #19098561C22semidirect
184. #19098556C22semidirect
185. C2×#14579082C22semidirect
186. C2×#14579082C22semidirect
187. #102×D79C22semidirect
188. C2×#127×C79C22semidirect
189. #529×C79C22semidirect
190. #496×C79C22semidirect
191. #496×C79C22semidirect
192. #490×C79C22semidirect
193. #490×C79C22semidirect
194. #460×C79C22semidirect
195. #460×C79C22semidirect
196. #459×C79C22semidirect
197. #459×C79C22semidirect
198. #450×C79C22semidirect
199. #450×C79C22semidirect
200. #447×C79C22semidirect
201. #447×C79C22semidirect
202. #432×C79C22semidirect
951. #3217D79semidirect
959. C79#62007semidirect
1002. C2×#127C2×D79semidirect
1005. #529C2×D79semidirect
1013. #496C2×D79semidirect
1014. #496C2×D79semidirect
1018. #490C2×D79semidirect
1019. #490C2×D79semidirect
1064. #460C2×D79semidirect
1065. #460C2×D79semidirect
1079. #459C2×D79semidirect
1080. #459C2×D79semidirect
1084. #450C2×D79semidirect
1085. #450C2×D79semidirect
1097. #447C2×D79semidirect
1098. #447C2×D79semidirect
1121. #432C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237777332
#237773342
#237764852
#237764392
#237761482
#237761042
#237755402
#237754252
#237754052
#237753652
#237752392
#237752062
#237750782
#237750702
#237749392
#237748842
#237748792
#237748732
#237748372
#237748092
#237747472
#237744992
#237744492
#237736412
#237735982
#237735402
#237729362
#237728982
C2×#190987552
#237725412
C79×#32172
#6200779