Finite Group Databasebeta

← #35160514

Subgroups — #35160514

Order 20224.

1654 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23776804C211yesmaximal, characteristic, complemented
2#23776784C211yesmaximal, characteristic
3#23774697C211yesmaximal, characteristic, complemented
4#23774696C211yesmaximal, characteristic, complemented
5#23774695C211yesmaximal, characteristic, complemented
6#23774694C211yesmaximal, characteristic, complemented
7#23774682C211yesmaximal, characteristic, complemented
8#23774681C211yesmaximal, characteristic, complemented
9#23774680C211yesmaximal, characteristic, complemented
10#23774679C211yesmaximal, characteristic, complemented
11#23774671C211yesmaximal, characteristic, complemented
12#23774670C211yesmaximal, characteristic, complemented
13#23774669C211yesmaximal, characteristic, complemented
14#23774668C211yesmaximal, characteristic, complemented
15#23774648C211yesmaximal, characteristic, complemented
16#23774647C211yesmaximal, characteristic, complemented
17#23774646C211yesmaximal, characteristic, complemented
18#23773921C211yesmaximal, characteristic, complemented
19#23773913C211yesmaximal, characteristic, complemented
20#23773744C211yesmaximal, characteristic, complemented
21#23773719C211yesmaximal, characteristic, complemented
22#23773312C211yesmaximal, characteristic, complemented
23#23773312C211yesmaximal, characteristic, complemented
24#23773310C211yesmaximal, characteristic, complemented
25#23773308C211yesmaximal, characteristic, complemented
26#23773189C211yesmaximal, characteristic, complemented
27#23773185C211yesmaximal, characteristic, complemented
28#23773185C211yesmaximal, characteristic, complemented
29#23773181C211yesmaximal, characteristic, complemented
30#433×D79C211yesmaximal, characteristic, complemented
31C79×#3241C211yesmaximal, characteristic, complemented
32#19099194C2211yescharacteristic
33#19099193—21no—
34#19099193C2211yescharacteristic
35#19099193C2211yescharacteristic
36#19099191C2211yescharacteristic
37#19099191C2211yescharacteristic
38#19099190—21no—
39#19099190C2211yescharacteristic
40#19099190C2211yescharacteristic
41#19099188—21no—
42#19099188—21no—
43#19099180C2211yescharacteristic
44#19099180C2211yescharacteristic
45#19099178C2211yescharacteristic
46#19099178C2211yescharacteristic
47#19099176C2211yescharacteristic
48#19099175C2211yescharacteristic
49#19099167C2211yescharacteristic
50#19099156—21no—
51#19099156—21no—
52#19099145—21no—
53#19099145—21no—
54#19099119—21no—
55#19099119C2211yescharacteristic
56#19099119C2211yescharacteristic
57#19099119C2211yescharacteristic
58#19099118—21no—
59#19099118C2211yescharacteristic
60#19099118C2211yescharacteristic
61#19099115—21no—
62#19099115—21no—
63#19099111C2211yescharacteristic
64#19099094—21no—
65#19099094—21no—
66#19099090—21no—
67#19099090—21no—
68#19099073C2211yescharacteristic
69#19099073C2211yescharacteristic
70C4×#11929623C2211yescharacteristic
71C4×#11929623C2211yescharacteristic
72C2×#14579119C2211yescharacteristic
73#117×D79C2211yescharacteristic
74#117×D79C2211yescharacteristic
75#19098973C2211yescharacteristic, complemented
76#19098972C2211yescharacteristic, complemented
77#19098971C2211yescharacteristic, complemented
78#19098971C2211yescharacteristic, complemented
79#19098970C2211yescharacteristic, complemented
80#19098970C2211yescharacteristic, complemented
81#19098969C2211yescharacteristic, complemented
82#19098967C2211yescharacteristic, complemented
83#19098967C2211yescharacteristic, complemented
84#19098965C2211yescharacteristic, complemented
85#19098962C2211yescharacteristic, complemented
86#19098962C2211yescharacteristic, complemented
87#19098960C2211yescharacteristic, complemented
88#19098960C2211yescharacteristic, complemented
89#19098933C2211yescharacteristic, complemented
90#19098932C2211yescharacteristic, complemented
91#19098927C2211yescharacteristic, complemented
92#19098921C2211yescharacteristic, complemented
93#19098921C2211yescharacteristic, complemented
94#19098921C2211yescharacteristic, complemented
95#19098921C2211yescharacteristic, complemented
96#19098916C2211yescharacteristic, complemented
97#19098916C2211yescharacteristic, complemented
98#19098916C2211yescharacteristic, complemented
99#19098916C2211yescharacteristic, complemented
100#19098915C2211yescharacteristic, complemented
101#19098914C2211yescharacteristic, complemented
102#19098909C2211yescharacteristic, complemented
103#19098907C2211yescharacteristic
104#19098907C2211yescharacteristic
105#19098906C2211yescharacteristic
106#19098906C2211yescharacteristic
107#19098905C2211yescharacteristic
108#19098905C2211yescharacteristic
109#19098904C2211yescharacteristic
110#19098904C2211yescharacteristic
111#19098900C2211yescharacteristic
112#19098900C2211yescharacteristic
113#19098899C2211yescharacteristic
114#19098898C2211yescharacteristic
115#19098895C2211yescharacteristic
116#19098895C2211yescharacteristic
117#19098894C2211yescharacteristic
118#19098893C2211yescharacteristic
119#19098886C2211yescharacteristic
120#19098886C2211yescharacteristic
121#19098885C2211yescharacteristic
122#19098885C2211yescharacteristic
123#19098884C2211yescharacteristic
124#19098884C2211yescharacteristic
125#19098880C2211yescharacteristic
126#19098880C2211yescharacteristic
127#19098879C2211yescharacteristic
128#19098875C2211yescharacteristic
129#19098875C2211yescharacteristic
130#19098874C2211yescharacteristic
131#19098873C2211yescharacteristic, complemented
132#19098873C2211yescharacteristic, complemented
133#19098871C2211yescharacteristic, complemented
134#19098871C2211yescharacteristic, complemented
135#19098869C2211yescharacteristic, complemented
136#19098869C2211yescharacteristic, complemented
137#19098867C2211yescharacteristic, complemented
138#19098867C2211yescharacteristic, complemented
139#19098865C2211yescharacteristic, complemented
140#19098865C2211yescharacteristic, complemented
141#19098863C2211yescharacteristic, complemented
142#19098863C2211yescharacteristic, complemented
143#19098861C2211yescharacteristic, complemented
144#19098861C2211yescharacteristic, complemented
145#19098859C2211yescharacteristic, complemented
146#19098857C2211yescharacteristic, complemented
147#19098857C2211yescharacteristic, complemented
148#19098855C2211yescharacteristic, complemented
149#19098853C2211yescharacteristic, complemented
150#19098851C2211yescharacteristic, complemented
151#19098851C2211yescharacteristic, complemented
152#19098849C2211yescharacteristic, complemented
153#19098847C2211yescharacteristic, complemented
154#19098847C2211yescharacteristic, complemented
155#19098845C2211yescharacteristic, complemented
156#19098843C2211yescharacteristic, complemented
157#19098841C2211yescharacteristic, complemented
158#19098841C2211yescharacteristic, complemented
159#19098625C2211yescharacteristic
160#19098624C2211yescharacteristic
161#19098623C2211yescharacteristic
162#19098623C2211yescharacteristic
163#19098622C2211yescharacteristic
164#19098621C2211yescharacteristic
165#19098621C2211yescharacteristic
166#19098600C2211yescharacteristic
167#19098600C2211yescharacteristic
168#19098600C2211yescharacteristic
169#19098600C2211yescharacteristic
170#19098598C2211yescharacteristic
171#19098598C2211yescharacteristic
172#19098598C2211yescharacteristic
173#19098598C2211yescharacteristic
174C4⋊C8×D79C2211yescharacteristic
175C4⋊C8×D79C2211yescharacteristic
176#19098556C2211yescharacteristic
177#19098556C2211yescharacteristic
178#19098556C2211yescharacteristic
179#19098556C2211yescharacteristic
180#19098556C2211yescharacteristic
181#19098556C2211yescharacteristic
182#19098556C2211yescharacteristic
183#19098556C2211yescharacteristic
184C22⋊C8×D79C2211yescharacteristic
185C22⋊C8×D79C2211yescharacteristic
186#97×D79C2211yescharacteristic
187C4×C8×D79C2211yescharacteristic
188#544×C79C2211yescharacteristic
189#540×C79C2211yescharacteristic
190#501×C79C2211yescharacteristic, complemented
191#499×C79C2211yescharacteristic, complemented
192#490×C79C2211yescharacteristic, complemented
193#486×C79C2211yescharacteristic, complemented
194#482×C79C2211yescharacteristic
195#482×C79C2211yescharacteristic
196#481×C79C2211yescharacteristic
197#480×C79C2211yescharacteristic
198#478×C79C2211yescharacteristic, complemented
199#478×C79C2211yescharacteristic, complemented
200#476×C79C2211yescharacteristic, complemented
201#474×C79C2211yescharacteristic, complemented
202#433×C79C2211yescharacteristic
203C2×#11929623C2311yescharacteristic
204C2×#11929623C2311yescharacteristic
205C22×C4×D79C2311yescharacteristic
206C2×C8×D79C2311yescharacteristic
207C2×C8×D79C2311yescharacteristic
208C2×C8×D79C2311yescharacteristic
209C2×C8×D79C2311yescharacteristic
210#14579161—21no—
211#14579161C2311yescharacteristic
212#14579161C2311yescharacteristic
213#14579161C2311yescharacteristic
214#14579160—21no—
215#14579160—21no—
216#14579160—21no—
217#14579160—21no—
218#14579160C2311yescharacteristic
219#14579160C2311yescharacteristic
220#14579160C2311yescharacteristic
221#14579160C2311yescharacteristic
222#14579160C2311yescharacteristic
223#14579160C2311yescharacteristic
224#14579159—21no—
225#14579159—21no—
226#14579156—21no—
227#14579156—21no—
228#14579154—21no—
229#14579154—21no—
230#14579154—21no—
231#14579154—21no—
232#14579154—21no—
233#14579154—21no—
234#14579153—21no—
235#14579153C2311yescharacteristic
236#14579153C2311yescharacteristic
237#14579153C2311yescharacteristic
238#14579152—21no—
239#14579152—21no—
240#14579152—21no—
241#14579152—21no—
242#14579152C2311yescharacteristic
243#14579152C2311yescharacteristic
244#14579152C2311yescharacteristic
245#14579152C2311yescharacteristic
246#14579151—21no—
247#14579151—21no—
248#14579151—21no—
249#14579151—21no—
250#14579151—21no—
251#14579151—21no—
252#14579148—21no—
253#14579148—21no—
254#14579148C2311yescharacteristic
255#14579148C2311yescharacteristic
256#14579147—21no—
257#14579147—21no—
258#14579144—21no—
259#14579144—21no—
260#14579143—21no—
261#14579143—21no—
262#14579142—21no—
263#14579142—21no—
264#14579142—21no—
265#14579142—21no—
266#14579141—21no—
267#14579141—21no—
268#14579141—21no—
269#14579141—21no—
270#14579141C2311yescharacteristic
271#14579141C2311yescharacteristic
272#14579140—21no—
273#14579140—21no—
274#14579140—21no—
275#14579140—21no—
276#14579140C2311yescharacteristic
277#14579140C2311yescharacteristic
278#14579139—21no—
279#14579139—21no—
280#14579139—21no—
281#14579139—21no—
282#14579139—21no—
283#14579139—21no—
284#14579139—21no—
285#14579139—21no—
286#14579139—21no—
287#14579139—21no—
288#14579138—21no—
289#14579138—21no—
290#14579138—21no—
291#14579138—21no—
292#14579138—21no—
293#14579138—21no—
294#14579137—21no—
295#14579137—21no—
296#14579137—21no—
297#14579137—21no—
298#14579133—21no—
299#14579133—21no—
300#14579132—21no—
301#14579132—21no—
302#14579132C2311yescharacteristic
303#14579132C2311yescharacteristic
304#14579129—21no—
305#14579129—21no—
306Q8×Dic79—21no—
307Q8×Dic79—21no—
308C4×Dic158C2311yescharacteristic
309C4×Dic158C2311yescharacteristic
310#14579126—21no—
311#14579126—21no—
312#14579126—21no—
313#14579126—21no—
314#14579126—21no—
315#14579126—21no—
316#14579126—21no—
317#14579126—21no—
318#14579126C2311yescharacteristic
319#14579126C2311yescharacteristic
320D4×Dic79—21no—
321D4×Dic79—21no—
322D4×Dic79—21no—
323D4×Dic79—21no—
324D4×Dic79C2311yescharacteristic
325D4×Dic79C2311yescharacteristic
326C4×C22⋊D79—21no—
327C4×C22⋊D79—21no—
328(C22⋊D79)⋊C4—21no—
329(C22⋊D79)⋊C4—21no—
330(C22⋊D79)⋊C4—21no—
331(C22⋊D79)⋊C4—21no—
332#14579120C2311yescharacteristic
333#14579120C2311yescharacteristic
334#14579119—21no—
335#14579119—21no—
336#14579119D411yescharacteristic
337#14579119D411yescharacteristic
338#14579119C2311yescharacteristic
339#14579119C2311yescharacteristic
340#14579119C2311yescharacteristic
341#14579119C2311yescharacteristic
342#14579119C2311yescharacteristic
343#14579119C2311yescharacteristic
344#14579119C2311yescharacteristic
345#14579119C2311yescharacteristic
346#14579118—21no—
347#14579118C2311yescharacteristic
348#14579118C2311yescharacteristic
349#14579117—21no—
350#14579117—21no—
351#14579117—21no—
352#14579117D411yescharacteristic
353#14579117D411yescharacteristic
354C2×C4⋊Dic79C2311yescharacteristic
355C4⋊C4×D79D411yescharacteristic
356C4⋊C4×D79D411yescharacteristic
357C4⋊C4×D79C2311yescharacteristic
358C4⋊C4×D79C2311yescharacteristic
359C2×(C2×D79)⋊C4—21no—
360C22⋊C4×D79—21no—
361C22⋊C4×D79D411yescharacteristic
362C22⋊C4×D79D411yescharacteristic
363C2×C4×Dic79—21no—
364C2×C4×Dic79—21no—
365C2×C4×Dic79—21no—
366C42×D79—21no—
367C42×D79C2311yescharacteristic
368C42×D79C2311yescharacteristic
369#14579095C2311yescharacteristic
370#14579095C2311yescharacteristic
371#14579095C2311yescharacteristic
372#14579095C2311yescharacteristic
373#14579094C2311yescharacteristic
374#14579094C2311yescharacteristic
375#14579094C2311yescharacteristic
376#14579094C2311yescharacteristic
377#14579094C2311yescharacteristic
378#14579094C2311yescharacteristic
379#14579094C2311yescharacteristic
380#14579094C2311yescharacteristic
381#14579093C2311yescharacteristic
382#14579093C2311yescharacteristic
383#14579093C2311yescharacteristic
384#14579093C2311yescharacteristic
385#14579092C2311yescharacteristic
386#14579092C2311yescharacteristic
387#14579092C2311yescharacteristic
388#14579092C2311yescharacteristic
389#14579092C2311yescharacteristic
390#14579092C2311yescharacteristic
391#14579092C2311yescharacteristic
392#14579092C2311yescharacteristic
393C4⋊(C79⋊C8)C2311yescharacteristic
394C4⋊(C79⋊C8)C2311yescharacteristic
395Dic79⋊C8C2311yescharacteristic
396Dic79⋊C8C2311yescharacteristic
397Dic79⋊C8C2311yescharacteristic
398Dic79⋊C8C2311yescharacteristic
399#14579086C2311yescharacteristic
400#14579086C2311yescharacteristic
401#14579086C2311yescharacteristic
402#14579086C2311yescharacteristic
403#14579086C2311yescharacteristic
404#14579086C2311yescharacteristic
405#14579086C2311yescharacteristic
406#14579086C2311yescharacteristic
407#14579084C2311yescharacteristic
408#14579084C2311yescharacteristic
409#14579084C2311yescharacteristic
410#14579084C2311yescharacteristic
411#14579084C2311yescharacteristic
412#14579084C2311yescharacteristic
413#14579084C2311yescharacteristic
414#14579084C2311yescharacteristic
415#14579082C2311yescharacteristic
416#14579082C2311yescharacteristic
417#14579082C2311yescharacteristic
418#14579082C2311yescharacteristic
419#14579082C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423C22⋊(C79⋊C8)C2311yescharacteristic
424C22⋊(C79⋊C8)C2311yescharacteristic
425(C2×D79)⋊C8C2311yescharacteristic
426(C2×D79)⋊C8C2311yescharacteristic
427(C2×D79)⋊C8C2311yescharacteristic
428(C2×D79)⋊C8C2311yescharacteristic
429#14579072C2311yescharacteristic
430#14579071C2311yescharacteristic
431#14579071C2311yescharacteristic
432C4×C79⋊C8C2311yescharacteristic
433C8×Dic79C2311yescharacteristic
434C8×Dic79C2311yescharacteristic
435C4⋊Q8×C79—21no—
436C4⋊Q8×C79C2311yescharacteristic
437C4⋊Q8×C79C2311yescharacteristic
438#127×C79C2311yescharacteristic
439#125×C79—21no—
440#125×C79C2311yescharacteristic
441#125×C79C2311yescharacteristic
442#125×C79C2311yescharacteristic
443#123×C79—21no—
444#123×C79—21no—
445C22⋊Q8×C79—21no—
446C22⋊Q8×C79—21no—
447#121×C79—21no—
448#121×C79—21no—
449#121×C79C2311yescharacteristic
450#121×C79C2311yescharacteristic
451C4×D4×C79C2311yescharacteristic
452C4×D4×C79C2311yescharacteristic
453#117×C79C2311yescharacteristic
454#117×C79C2311yescharacteristic
455C2×C4⋊C4×C79C2311yescharacteristic
456#107×C79C2311yescharacteristic
457#107×C79C2311yescharacteristic
458#107×C79C2311yescharacteristic
459#107×C79C2311yescharacteristic
460#106×C79C2311yescharacteristic
461#106×C79C2311yescharacteristic
462#106×C79C2311yescharacteristic
463#106×C79C2311yescharacteristic
464C4⋊C8×C79C2311yescharacteristic
465C4⋊C8×C79C2311yescharacteristic
466#102×C79C2311yescharacteristic
467#102×C79C2311yescharacteristic
468#102×C79C2311yescharacteristic
469#102×C79C2311yescharacteristic
470#102×C79C2311yescharacteristic
471#102×C79C2311yescharacteristic
472#102×C79C2311yescharacteristic
473#102×C79C2311yescharacteristic
474C22⋊C8×C79C2311yescharacteristic
475C22⋊C8×C79C2311yescharacteristic
476#97×C79C2311yescharacteristic
477C4×C8×C79C2311yescharacteristic
478C23×D79C2×D411yescharacteristic
479#11929623—22no—
480#11929623—22no—
481#11929623—22no—
482#11929623—22no—
483C2×Dic158—21no—
484C2×Dic158—21no—
485C2×Dic158—21no—
486C2×Dic158—21no—
487C2×Dic158—21no—
488C2×Dic158—21no—
489C2×Dic158—21no—
490C2×Dic158—21no—
491C2×Dic158C2411yescharacteristic
492C2×Dic158C2411yescharacteristic
493C2×C22⋊D79—21no—
494C2×C22⋊D79—21no—
495C2×C22⋊D79—21no—
496C2×C22⋊D79—21no—
497C22×Dic79—21no—
498C22×Dic79—21no—
499C22×Dic79—21no—
500C22×Dic79—21no—
501C22×Dic79—21no—
502C22×Dic79C2×D411yescharacteristic
503C2×C4×D79—22no—
504C2×C4×D79—22no—
505C2×C4×D79—21no—
506C2×C4×D79—21no—
507C2×C4×D79C2×D411yescharacteristic
508C2×C4×D79C2×D411yescharacteristic
509C2×C4×D79C2×D411yescharacteristic
510C2×C4×D79C2×D411yescharacteristic
511C2×C4×D79C2×D411yescharacteristic
512C2×C4×D79C2×D411yescharacteristic
513C2×C4×D79C2411yescharacteristic
514C2×C4×D79C2411yescharacteristic
515C2×C79⋊C8C2411yescharacteristic
516C2×C79⋊C8C2411yescharacteristic
517C2×C79⋊C8C2411yescharacteristic
518C2×C79⋊C8C2411yescharacteristic
519C8×D79—22no—
520C8×D79—22no—
521C8×D79—22no—
522C8×D79—22no—
523C4⋊Dic79—21no—
524C4⋊Dic79—21no—
525C4⋊Dic79—21no—
526C4⋊Dic79—21no—
527C4⋊Dic79—21no—
528C4⋊Dic79—21no—
529C4⋊Dic79—21no—
530C4⋊Dic79—21no—
531C4⋊Dic79—21no—
532C4⋊Dic79—21no—
533C4⋊Dic79—21no—
534C4⋊Dic79C2×D411yescharacteristic
535C4⋊Dic79C2×D411yescharacteristic
536C4⋊Dic79C2411yescharacteristic
537C4⋊Dic79C2411yescharacteristic
538C4⋊Dic79C2411yescharacteristic
539C4⋊Dic79C2411yescharacteristic
540C4⋊Dic79C2411yescharacteristic
541C4⋊Dic79C2411yescharacteristic
542Dic79⋊C4—21no—
543Dic79⋊C4—21no—
544Dic79⋊C4—21no—
545Dic79⋊C4—21no—
546Dic79⋊C4—21no—
547Dic79⋊C4—21no—
548Dic79⋊C4—21no—
549Dic79⋊C4—21no—
550Dic79⋊C4—21no—
551Dic79⋊C4—21no—
552Dic79⋊C4—21no—
553Dic79⋊C4—21no—
554Dic79⋊C4—21no—
555Dic79⋊C4—21no—
556Dic79⋊C4—21no—
557Dic79⋊C4—21no—
558Dic79⋊C4—21no—
559Dic79⋊C4—21no—
560Dic79⋊C4—21no—
561Dic79⋊C4—21no—
562Dic79⋊C4—21no—
563Dic79⋊C4—21no—
564Dic79⋊C4—21no—
565Dic79⋊C4—21no—
566Dic79⋊C4C2×D411yescharacteristic
567Dic79⋊C4C2×D411yescharacteristic
568Dic79⋊C4C2×D411yescharacteristic
569Dic79⋊C4C2×D411yescharacteristic
570C22⋊Dic79—21no—
571C22⋊Dic79—21no—
572C22⋊Dic79—21no—
573C22⋊Dic79—21no—
574C22⋊Dic79—21no—
575C22⋊Dic79—21no—
576C22⋊Dic79—21no—
577C22⋊Dic79—21no—
578C22⋊Dic79—21no—
579C22⋊Dic79—21no—
580C22⋊Dic79—21no—
581C22⋊Dic79C2×D411yescharacteristic
582C22⋊Dic79C2×D411yescharacteristic
583(C2×D79)⋊C4—21no—
584(C2×D79)⋊C4—21no—
585(C2×D79)⋊C4—21no—
586(C2×D79)⋊C4—21no—
587(C2×D79)⋊C4—21no—
588(C2×D79)⋊C4—21no—
589(C2×D79)⋊C4—21no—
590(C2×D79)⋊C4—21no—
591(C2×D79)⋊C4—21no—
592(C2×D79)⋊C4—21no—
593(C2×D79)⋊C4C2×D411yescharacteristic
594(C2×D79)⋊C4C2×D411yescharacteristic
595(C2×D79)⋊C4C2×D411yescharacteristic
596(C2×D79)⋊C4C2×D411yescharacteristic
597C4×Dic79—21no—
598C4×Dic79—21no—
599C4×Dic79—21no—
600C4×Dic79—21no—
601C4×Dic79—21no—
602C4×Dic79—21no—
603C4×Dic79—21no—
604C4×Dic79—21no—
605C4×Dic79—21no—
606C4×Dic79—21no—
607C4×Dic79—21no—
608C4×Dic79—21no—
609C4×Dic79—21no—
610C4×Dic79C2×D411yescharacteristic
611C4×Dic79C2×D411yescharacteristic
612C4×Dic79C2×D411yescharacteristic
613C4×Dic79C2×D411yescharacteristic
614C4×Dic79C2411yescharacteristic
615C4×Dic79C2411yescharacteristic
616C2×Q8×C79—21no—
617C2×Q8×C79—21no—
618C2×D4×C79—21no—
619C2×D4×C79—21no—
620C2×D4×C79—21no—
621C2×D4×C79—21no—
622C2×D4×C79C2411yescharacteristic
623C2×D4×C79C2411yescharacteristic
624C22×C4×C79—21no—
625C22×C4×C79—21no—
626C22×C4×C79—21no—
627C22×C4×C79C2411yescharacteristic
628C2×C8×C79C2411yescharacteristic
629C2×C8×C79C2411yescharacteristic
630C2×C8×C79C2411yescharacteristic
631C2×C8×C79C2411yescharacteristic
632C4⋊C4×C79—21no—
633C4⋊C4×C79—21no—
634C4⋊C4×C79—21no—
635C4⋊C4×C79—21no—
636C4⋊C4×C79—21no—
637C4⋊C4×C79—21no—
638C4⋊C4×C79—21no—
639C4⋊C4×C79—21no—
640C4⋊C4×C79—21no—
641C4⋊C4×C79C2×D411yescharacteristic
642C4⋊C4×C79C2×D411yescharacteristic
643C4⋊C4×C79C2411yescharacteristic
644C4⋊C4×C79C2411yescharacteristic
645C4⋊C4×C79C2411yescharacteristic
646C4⋊C4×C79C2411yescharacteristic
647C4⋊C4×C79C2411yescharacteristic
648C4⋊C4×C79C2411yescharacteristic
649C22⋊C4×C79—21no—
650C22⋊C4×C79—21no—
651C22⋊C4×C79—21no—
652C22⋊C4×C79—21no—
653C22⋊C4×C79—21no—
654C22⋊C4×C79C2×D411yescharacteristic
655C22⋊C4×C79C2×D411yescharacteristic
656C42×C79—21no—
657C42×C79C2411yescharacteristic
658C42×C79C2411yescharacteristic
659C23×C79—21no—
660C23×C79—21no—
661C23×C79C22×D411yescharacteristic
662C22×D79—22no—
663C22×D79—41no—
664C22×D79—41no—
665C22×D79C22×D411yescharacteristic
666C22×D79C22×D411yescharacteristic
667Q8×C79—81no—
668Q8×C79—81no—
669D4×C79—21no—
670D4×C79—21no—
671D4×C79—21no—
672D4×C79—21no—
673D4×C79—81no—
674D4×C79—81no—
675D4×C79—81no—
676D4×C79—81no—
677C2×C4×C79—21no—
678C2×C4×C79—21no—
679C2×C4×C79—21no—
680C2×C4×C79—21no—
681C2×C4×C79—21no—
682C2×C4×C79—21no—
683C2×C4×C79—21no—
684C2×C4×C79—21no—
685C2×C4×C79—81no—
686C2×C4×C79—81no—
687C2×C4×C79—81no—
688C2×C4×C79C22×D411yescharacteristic
689C2×C4×C79C22×D411yescharacteristic
690C2×C4×C79C22×D411yescharacteristic
691C2×C4×C79C22×D411yescharacteristic
692C2×C4×C79C22×D411yescharacteristic
693C2×C4×C79C2511yescharacteristic
694C22⋊D79—42no—
695C22⋊D79—42no—
696C22⋊D79—81no—
697C22⋊D79—81no—
698C2×Dic79—22no—
699C2×Dic79—21no—
700C2×Dic79—21no—
701C2×Dic79—21no—
702C2×Dic79—21no—
703C2×Dic79—21no—
704C2×Dic79—21no—
705C2×Dic79—21no—
706C2×Dic79—21no—
707C2×Dic79—42no—
708C2×Dic79—42no—
709C2×Dic79—81no—
710C2×Dic79—81no—
711C2×Dic79—81no—
712C2×Dic79C22×D411yescharacteristic
713C2×Dic79C22×D411yescharacteristic
714C2×Dic79C22×D411yescharacteristic
715C2×Dic79C22×D411yescharacteristic
716C2×Dic79C22×D411yescharacteristic
717C2×Dic79C22×D411yescharacteristic
718C4×D79—22no—
719C4×D79—21no—
720C4×D79—21no—
721C4×D79—22no—
722C4×D79—41no—
723C4×D79—41no—
724C4×D79—41no—
725C4×D79—41no—
726C4×D79—81no—
727C4×D79—81no—
728C4×D792−1+412yes—
729C4×D792−1+412yes—
730Dic158—21no—
731Dic158—21no—
732Dic158—21no—
733Dic158—21no—
734Dic158—81no—
735Dic158—81no—
736Dic158—81no—
737Dic158—81no—
738Dic158—81no—
739Dic158—81no—
740Dic158—81no—
741Dic158—81no—
742C8×C79—21no—
743C8×C79—21no—
744C8×C79—21no—
745C8×C79—21no—
746C79⋊C8—21no—
747C79⋊C8—21no—
748C79⋊C8—21no—
749C79⋊C8—21no—
750C22×C79—21no—
751C22×C79—21no—
752C22×C79—21no—
753C22×C79—41no—
754C22×C79—41no—
755C22×C79—41no—
756C22×C79—41no—
757C22×C79—41no—
758C22×C79—41no—
759C22×C79C23×D411yescharacteristic
760C2×D79—21no—
761C2×D79—21no—
762C2×D79—21no—
763C2×D79—21no—
764C2×D79—21no—
765C2×D79—82no—
766C2×D79#53612yes—
767C4×C79—21no—
768C4×C79—21no—
769C4×C79—21no—
770C4×C79—21no—
771C4×C79—21no—
772C4×C79—41no—
773C4×C79—41no—
774C4×C79—41no—
775C4×C79—41no—
776C4×C79—41no—
777C4×C79—41no—
778C4×C79C2×2−1+411yescharacteristic
779C4×C79C2×2−1+411yescharacteristic
780Dic79—21no—
781Dic79—21no—
782Dic79—21no—
783Dic79—21no—
784Dic79—21no—
785Dic79—41no—
786Dic79—41no—
787Dic79—41no—
788Dic79—41no—
789Dic79—41no—
790Dic79—41no—
791Dic79—41no—
792Dic79—41no—
793Dic79#53612yes—
794#60859—791nomaximal, Sylow
795C2×C79—41no—
796C2×C79—81no—
797C2×C79—81no—
798C2×C79C2×#53611yescharacteristic
799C2×C79#358411yescharacteristic
800C2×C79#358411yescharacteristic
801D79—22no—
802D79—41no—
803#3458—791no—
804#3455—791no—
805#3244—791no—
806#3244—791no—
807#3244—791no—
808#3244—791no—
809#3243—791no—
810#3243—791no—
811#3243—791no—
812#3243—791no—
813#3242—791no—
814#3242—791no—
815#3242—791no—
816#3242—791no—
817#3241—791no—
818#3241—791no—
819#3241—791no—
820#3241D7911yescharacteristic, complemented
821#3162—791no—
822#3160—791no—
823#3135—791no—
824#3131—791no—
825#3091—791no—
826#3091—791no—
827#3091—791no—
828#3091—791no—
829#3076—791no—
830#3076—791no—
831#3076—791no—
832#3076—791no—
833C2×#433—791no—
834C79#6085911yescharacteristic, complemented, Sylow
835#544—791no—
836#544—791no—
837#544—791no—
838#544—791no—
839#544—791no—
840#544—791no—
841#544—791no—
842#544—1581no—
843#544—1581no—
844#544C2×D7911yescharacteristic
845#543—1581no—
846#543—1581no—
847#542—791no—
848#542—791no—
849#542—791no—
850#542—791no—
851#541—791no—
852#541—791no—
853#540—791no—
854#540C2×D7911yescharacteristic
855#539—1581no—
856#539—1581no—
857#538—1581no—
858#538—1581no—
859#533—791no—
860#533—791no—
861#533—791no—
862#533—791no—
863#533—791no—
864#533—1581no—
865#533—1581no—
866#533—1581no—
867#533—1581no—
868#532—791no—
869#529—1581no—
870#529—1581no—
871#529—1581no—
872#529—1581no—
873#525—791no—
874#525—791no—
875C4×#41—791no—
876C4×#41—791no—
877C2×#117—791no—
878C2×#117—791no—
879C2×#117—791no—
880#501—791no—
881#501—791no—
882#501—791no—
883#501—791no—
884#501—791no—
885#501—791no—
886#501—791no—
887#501C2×D7911yescharacteristic, complemented
888#500—791no—
889#500—791no—
890#499—791no—
891#499—791no—
892#499—791no—
893#499C2×D7911yescharacteristic, complemented
894#498—791no—
895#498—791no—
896#491—791no—
897#491—791no—
898#490—791no—
899#490C2×D7911yescharacteristic, complemented
900#489—791no—
901#489—791no—
902#489—791no—
903#489—791no—
904#488—791no—
905#488—791no—
906#488—791no—
907#488—791no—
908#487—791no—
909#487—791no—
910#486—791no—
911#486C2×D7911yescharacteristic, complemented
912#485—791no—
913#485—791no—
914#485—791no—
915#485—791no—
916#485—791no—
917#485—791no—
918#485—791no—
919#485—791no—
920#484—791no—
921#484—791no—
922#484—791no—
923#484—791no—
924#483—791no—
925#483—791no—
926#483—791no—
927#483—791no—
928#482—791no—
929#482—791no—
930#482—791no—
931#482—791no—
932#482—791no—
933#482—791no—
934#482C2×D7911yescharacteristic
935#482C2×D7911yescharacteristic
936#481—791no—
937#481—791no—
938#481—791no—
939#481C2×D7911yescharacteristic
940#480—791no—
941#480—791no—
942#480—791no—
943#480C2×D7911yescharacteristic
944#479—791no—
945#479—791no—
946#479—791no—
947#479—791no—
948#479—791no—
949#479—791no—
950#479—791no—
951#479—791no—
952#478—791no—
953#478—791no—
954#478—791no—
955#478—791no—
956#478—791no—
957#478—791no—
958#478C2×D7911yescharacteristic, complemented
959#478C2×D7911yescharacteristic, complemented
960#477—791no—
961#477—791no—
962#477—791no—
963#477—791no—
964#476—791no—
965#476—791no—
966#476—791no—
967#476C2×D7911yescharacteristic, complemented
968#475—791no—
969#475—791no—
970#475—791no—
971#475—791no—
972#474—791no—
973#474—791no—
974#474—791no—
975#474C2×D7911yescharacteristic, complemented
976#433—791no—
977#433—791no—
978#433—791no—
979#433—791no—
980#433—791no—
981#433—791no—
982#433—791no—
983#433C2×D7911yescharacteristic
984#427—791no—
985#427—791no—
986#427—791no—
987#427—791no—
988#427—791no—
989#427—791no—
990#427—791no—
991#427—791no—
992C2×C4⋊C8—791no—
993C2×C4⋊C8—791no—
994#416—791no—
995#416—791no—
996#416—791no—
997#416—791no—
998#416—791no—
999#416—791no—
1000#416—791no—
1001#416—791no—
1002C2×C22⋊C8—791no—
1003C2×C22⋊C8—791no—
1004C2×#97—791no—
1005C2×C4×C8—791no—
1006C2×#41—791no—
1007C2×#41—791no—
1008C23×C4—791no—
1009C22×C8—791no—
1010C22×C8—791no—
1011C22×C8—791no—
1012C22×C8—791no—
1013C4⋊Q8—21no—
1014C4⋊Q8—791no—
1015C4⋊Q8—791no—
1016C4⋊Q8—791no—
1017C4⋊Q8—791no—
1018C4⋊Q8—791no—
1019C4⋊Q8—791no—
1020C4⋊Q8—791no—
1021C4⋊Q8—791no—
1022C4⋊Q8—791no—
1023C4⋊Q8—1581no—
1024C4⋊Q8—1581no—
1025C4⋊Q8—1581no—
1026C4⋊Q8—1581no—
1027C4⋊Q8—1581no—
1028C4⋊Q8—1581no—
1029C4⋊Q8—1581no—
1030C4⋊Q8C22×D7911yescharacteristic
1031C4⋊Q8C22×D7911yescharacteristic
1032#127C22×D7911yescharacteristic
1033#126—1581no—
1034#126—1581no—
1035#126—1581no—
1036#126—1581no—
1037#126—1581no—
1038#126—1581no—
1039#126—1581no—
1040#126—1581no—
1041#125—21no—
1042#125—791no—
1043#125—791no—
1044#125—791no—
1045#125—791no—
1046#125—791no—
1047#125—791no—
1048#125—791no—
1049#125—1581no—
1050#125—1581no—
1051#125—1581no—
1052#125—1581no—
1053#125—1581no—
1054#125—1581no—
1055#125—1581no—
1056#125—1581no—
1057#125—1581no—
1058#125—1581no—
1059#125—1581no—
1060#125C22×D7911yescharacteristic
1061#125C22×D7911yescharacteristic
1062#125C22×D7911yescharacteristic
1063#124—791no—
1064#124—791no—
1065#124—1581no—
1066#124—1581no—
1067#124—1581no—
1068#124—1581no—
1069#123—21no—
1070#123—21no—
1071#123—1581no—
1072#123—1581no—
1073#123—1581no—
1074#123—1581no—
1075#123—1581no—
1076#123—1581no—
1077#123—1581no—
1078#123—1581no—
1079C22⋊Q8—21no—
1080C22⋊Q8—21no—
1081C22⋊Q8—791no—
1082C22⋊Q8—791no—
1083C22⋊Q8—791no—
1084C22⋊Q8—791no—
1085C22⋊Q8—1581no—
1086C22⋊Q8—1581no—
1087C22⋊Q8—1581no—
1088C22⋊Q8—1581no—
1089C22⋊Q8—1581no—
1090C22⋊Q8—1581no—
1091C22⋊Q8—1581no—
1092C22⋊Q8—1581no—
1093C22⋊Q8—1581no—
1094C22⋊Q8—1581no—
1095C22⋊Q8—1581no—
1096C22⋊Q8—1581no—
1097C22⋊Q8—1581no—
1098C22⋊Q8—1581no—
1099C22⋊Q8—1581no—
1100C22⋊Q8—1581no—
1101C22⋊Q8—1581no—
1102C22⋊Q8—1581no—
1103C22⋊Q8—1581no—
1104C22⋊Q8—1581no—
1105C22⋊Q8—1581no—
1106C22⋊Q8—1581no—
1107C22⋊Q8—1581no—
1108C22⋊Q8—1581no—
1109C22⋊Q8—1581no—
1110C22⋊Q8—1581no—
1111C22⋊Q8—1581no—
1112C22⋊Q8—1581no—
1113#121—21no—
1114#121—21no—
1115#121—791no—
1116#121—791no—
1117#121—1581no—
1118#121—1581no—
1119#121—1581no—
1120#121—1581no—
1121#121C22×D7911yescharacteristic
1122#121C22×D7911yescharacteristic
1123#120—1581no—
1124#120—1581no—
1125C4×Q8—791no—
1126C4×Q8—791no—
1127C4×Q8—791no—
1128C4×Q8—791no—
1129C4×Q8—1581no—
1130C4×Q8—1581no—
1131C4×Q8—1581no—
1132C4×Q8—1581no—
1133C4×Q8—1581no—
1134C4×Q8—1581no—
1135C4×Q8—1581no—
1136C4×Q8—1581no—
1137C4×Q8—1581no—
1138C4×Q8—1581no—
1139C4×D4—791no—
1140C4×D4—791no—
1141C4×D4—1581no—
1142C4×D4—1581no—
1143C4×D4—1581no—
1144C4×D4—1581no—
1145C4×D4—1581no—
1146C4×D4—1581no—
1147C4×D4—1581no—
1148C4×D4—1581no—
1149C4×D4—1581no—
1150C4×D4—1581no—
1151C4×D4C22×D7911yescharacteristic
1152C4×D4C22×D7911yescharacteristic
1153#117—791no—
1154#117—791no—
1155#117—791no—
1156#117—791no—
1157#117—791no—
1158#117—791no—
1159#117—791no—
1160#117—791no—
1161#117—791no—
1162#117—791no—
1163#117—791no—
1164#117—791no—
1165#117—791no—
1166#117—791no—
1167#117—791no—
1168#117—791no—
1169#117—1581no—
1170#117—1581no—
1171#117—1581no—
1172#117—1581no—
1173#117—1581no—
1174#117—1581no—
1175#117C22×D7911yescharacteristic
1176#117C22×D7911yescharacteristic
1177C2×C4⋊C4—791no—
1178C2×C4⋊C4—791no—
1179C2×C4⋊C4—791no—
1180C2×C4⋊C4—791no—
1181C2×C4⋊C4—791no—
1182C2×C4⋊C4C22×D7911yescharacteristic
1183C2×C22⋊C4—791no—
1184C2×C22⋊C4—791no—
1185C2×C22⋊C4—1581no—
1186C2×C22⋊C4—1581no—
1187C2×C42—791no—
1188C2×C42—791no—
1189C2×C42—1581no—
1190C2×C42—1581no—
1191C2×C42—1581no—
1192C2×C42—1581no—
1193#107—791no—
1194#107—791no—
1195#107—791no—
1196#107—791no—
1197#107—791no—
1198#107—791no—
1199#107—791no—
1200#107—791no—
1201#107—791no—
1202#107—791no—
1203#107—791no—
1204#107—791no—
1205#107C22×D7911yescharacteristic
1206#107C22×D7911yescharacteristic
1207#107C22×D7911yescharacteristic
1208#107C22×D7911yescharacteristic
1209#106—791no—
1210#106—791no—
1211#106—791no—
1212#106—791no—
1213#106—791no—
1214#106—791no—
1215#106—791no—
1216#106—791no—
1217#106—791no—
1218#106—791no—
1219#106—791no—
1220#106—791no—
1221#106C22×D7911yescharacteristic
1222#106C22×D7911yescharacteristic
1223#106C22×D7911yescharacteristic
1224#106C22×D7911yescharacteristic
1225C4⋊C8—791no—
1226C4⋊C8—791no—
1227C4⋊C8—791no—
1228C4⋊C8—791no—
1229C4⋊C8—791no—
1230C4⋊C8—791no—
1231C4⋊C8C22×D7911yescharacteristic
1232C4⋊C8C22×D7911yescharacteristic
1233#103—791no—
1234#103—791no—
1235#103—791no—
1236#103—791no—
1237#103—791no—
1238#103—791no—
1239#103—791no—
1240#103—791no—
1241#103—791no—
1242#103—791no—
1243#103—791no—
1244#103—791no—
1245#103—791no—
1246#103—791no—
1247#103—791no—
1248#103—791no—
1249#102—791no—
1250#102—791no—
1251#102—791no—
1252#102—791no—
1253#102—791no—
1254#102—791no—
1255#102—791no—
1256#102—791no—
1257#102C22×D7911yescharacteristic
1258#102C22×D7911yescharacteristic
1259#102C22×D7911yescharacteristic
1260#102C22×D7911yescharacteristic
1261#102C22×D7911yescharacteristic
1262#102C22×D7911yescharacteristic
1263#102C22×D7911yescharacteristic
1264#102C22×D7911yescharacteristic
1265C22⋊C8—791no—
1266C22⋊C8—791no—
1267C22⋊C8—791no—
1268C22⋊C8—791no—
1269C22⋊C8—791no—
1270C22⋊C8—791no—
1271C22⋊C8C22×D7911yescharacteristic
1272C22⋊C8C22×D7911yescharacteristic
1273#97—791no—
1274#97—791no—
1275#97—791no—
1276#97C22×D7911yescharacteristic
1277C4×C8—791no—
1278C4×C8—791no—
1279C4×C8—791no—
1280C4×C8C22×D7911yescharacteristic
1281C24—791no—
1282#41—1582no—
1283#41—1582no—
1284#41—1582no—
1285#41—1582no—
1286C2×Q8—21no—
1287C2×Q8—21no—
1288C2×Q8—791no—
1289C2×Q8—791no—
1290C2×Q8—1581no—
1291C2×Q8—1581no—
1292C2×Q8—1581no—
1293C2×Q8—1581no—
1294C2×Q8—1581no—
1295C2×Q8—1581no—
1296C2×Q8—1581no—
1297C2×Q8—1581no—
1298C2×D4—21no—
1299C2×D4—21no—
1300C2×D4—21no—
1301C2×D4—21no—
1302C2×D4—1581no—
1303C2×D4—1581no—
1304C2×D4—1581no—
1305C2×D4—1581no—
1306C2×D4C23×D7911yescharacteristic
1307C2×D4C23×D7911yescharacteristic
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—791no—
1312C22×C4—791no—
1313C22×C4—791no—
1314C22×C4—791no—
1315C22×C4—791no—
1316C22×C4—791no—
1317C22×C4—791no—
1318C22×C4—791no—
1319C22×C4—791no—
1320C22×C4—1582no—
1321C22×C4—1582no—
1322C22×C4—1581no—
1323C22×C4—1581no—
1324C22×C4—1581no—
1325C22×C4—1581no—
1326C22×C4—1581no—
1327C22×C4—1581no—
1328C22×C4—1581no—
1329C22×C4C23×D7911yescharacteristic
1330C2×C8—791no—
1331C2×C8—791no—
1332C2×C8—791no—
1333C2×C8—791no—
1334C2×C8—1582no—
1335C2×C8—1582no—
1336C2×C8—1582no—
1337C2×C8—1582no—
1338C2×C8C23×D7911yescharacteristic
1339C2×C8C23×D7911yescharacteristic
1340C2×C8C23×D7911yescharacteristic
1341C2×C8C23×D7911yescharacteristic
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—791no—
1352C4⋊C4—791no—
1353C4⋊C4—791no—
1354C4⋊C4—791no—
1355C4⋊C4—791no—
1356C4⋊C4—791no—
1357C4⋊C4—791no—
1358C4⋊C4—791no—
1359C4⋊C4—791no—
1360C4⋊C4—791no—
1361C4⋊C4—791no—
1362C4⋊C4—791no—
1363C4⋊C4—1581no—
1364C4⋊C4—1581no—
1365C4⋊C4—1581no—
1366C4⋊C4—1581no—
1367C4⋊C4—1581no—
1368C4⋊C4—1581no—
1369C4⋊C4—1581no—
1370C4⋊C4—1581no—
1371C4⋊C4—1581no—
1372C4⋊C4—1581no—
1373C4⋊C4—1581no—
1374C4⋊C4—1581no—
1375C4⋊C4—1581no—
1376C4⋊C4—1581no—
1377C4⋊C4—1581no—
1378C4⋊C4—1581no—
1379C4⋊C4—1581no—
1380C4⋊C4—1581no—
1381C4⋊C4—1581no—
1382C4⋊C4—1581no—
1383C4⋊C4—1581no—
1384C4⋊C4—1581no—
1385C4⋊C4—1581no—
1386C4⋊C4—1581no—
1387C4⋊C4—1581no—
1388C4⋊C4—1581no—
1389C4⋊C4—1581no—
1390C4⋊C4—1581no—
1391C4⋊C4—1581no—
1392C4⋊C4—1581no—
1393C4⋊C4—1581no—
1394C4⋊C4—1581no—
1395C4⋊C4—1581no—
1396C4⋊C4—1581no—
1397C4⋊C4—1581no—
1398C4⋊C4D4×D7911yescharacteristic
1399C4⋊C4D4×D7911yescharacteristic
1400C4⋊C4C23×D7911yescharacteristic
1401C4⋊C4C23×D7911yescharacteristic
1402C4⋊C4C23×D7911yescharacteristic
1403C4⋊C4C23×D7911yescharacteristic
1404C4⋊C4C23×D7911yescharacteristic
1405C4⋊C4C23×D7911yescharacteristic
1406C22⋊C4—21no—
1407C22⋊C4—21no—
1408C22⋊C4—21no—
1409C22⋊C4—21no—
1410C22⋊C4—21no—
1411C22⋊C4—791no—
1412C22⋊C4—791no—
1413C22⋊C4—791no—
1414C22⋊C4—791no—
1415C22⋊C4—791no—
1416C22⋊C4—791no—
1417C22⋊C4—1581no—
1418C22⋊C4—1581no—
1419C22⋊C4—1581no—
1420C22⋊C4—1581no—
1421C22⋊C4—1581no—
1422C22⋊C4—1581no—
1423C22⋊C4—1581no—
1424C22⋊C4—1581no—
1425C22⋊C4—1581no—
1426C22⋊C4—1581no—
1427C22⋊C4—1581no—
1428C22⋊C4—1581no—
1429C22⋊C4—1581no—
1430C22⋊C4—1581no—
1431C22⋊C4—1581no—
1432C22⋊C4—1581no—
1433C22⋊C4—1581no—
1434C22⋊C4—1581no—
1435C22⋊C4—1581no—
1436C22⋊C4—1581no—
1437C22⋊C4—1581no—
1438C22⋊C4D4×D7911yescharacteristic
1439C22⋊C4D4×D7911yescharacteristic
1440C42—21no—
1441C42—791no—
1442C42—791no—
1443C42—791no—
1444C42—791no—
1445C42—791no—
1446C42—791no—
1447C42—1581no—
1448C42—1581no—
1449C42—1581no—
1450C42—1581no—
1451C42—1581no—
1452C42—1581no—
1453C42—1581no—
1454C42—1581no—
1455C42—1581no—
1456C42—1581no—
1457C42—1581no—
1458C42—1581no—
1459C42—1581no—
1460C42C23×D7911yescharacteristic
1461C42C23×D7911yescharacteristic
1462C23—21no—
1463C23—21no—
1464C23—3161no—
1465C23—3161no—
1466C23—791no—
1467C23—791no—
1468C23—1582no—
1469C23C2×D4×D7911yescharacteristic
1470Q8—81no—
1471Q8—81no—
1472Q8—6321no—
1473Q8—6321no—
1474Q8—6321no—
1475Q8—6321no—
1476Q8—6321no—
1477Q8—6321no—
1478Q8—6321no—
1479Q8—6321no—
1480Q8—1581no—
1481Q8—1581no—
1482Q8—1581no—
1483Q8—1581no—
1484D4—21no—
1485D4—21no—
1486D4—21no—
1487D4—21no—
1488D4—81no—
1489D4—81no—
1490D4—81no—
1491D4—81no—
1492D4—3162no—
1493D4—3162no—
1494D4—6321no—
1495D4—6321no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—81no—
1505C2×C4—81no—
1506C2×C4—81no—
1507C2×C4—3161no—
1508C2×C4—3161no—
1509C2×C4—3161no—
1510C2×C4—3161no—
1511C2×C4—3162no—
1512C2×C4—3162no—
1513C2×C4—791no—
1514C2×C4—792no—
1515C2×C4—792no—
1516C2×C4—791no—
1517C2×C4—791no—
1518C2×C4—791no—
1519C2×C4—791no—
1520C2×C4—791no—
1521C2×C4—6321no—
1522C2×C4—6321no—
1523C2×C4—6321no—
1524C2×C4—6321no—
1525C2×C4—6321no—
1526C2×C4—1582no—
1527C2×C4—1582no—
1528C2×C4—1581no—
1529C2×C4—1581no—
1530C2×C4—1581no—
1531C2×C4—1581no—
1532C2×C4—1581no—
1533C2×C4—1581no—
1534C2×C4—1581no—
1535C2×C4—1581no—
1536C2×C4—1582no—
1537C2×C4—1581no—
1538C2×C4—1581no—
1539C2×C4C2×D4×D7911yescharacteristic
1540C2×C4C2×D4×D7911yescharacteristic
1541C2×C4C2×D4×D7911yescharacteristic
1542C2×C4C2×D4×D7911yescharacteristic
1543C2×C4C2×D4×D7911yescharacteristic
1544C2×C4C24×D7911yescharacteristic
1545C8—21no—
1546C8—21no—
1547C8—21no—
1548C8—21no—
1549C8—1581no—
1550C8—1581no—
1551C8—1581no—
1552C8—1581no—
1553C22—21no—
1554C22—21no—
1555C22—21no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—792no—
1563C22—6322no—
1564C22—1581no—
1565C22—1581no—
1566C22—1581no—
1567C22—1581no—
1568C22—1581no—
1569C22C22×D4×D7911yescharacteristic
1570C4—21no—
1571C4—21no—
1572C4—21no—
1573C4—21no—
1574C4—21no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—3161no—
1582C4—3161no—
1583C4—3161no—
1584C4—3161no—
1585C4—3161no—
1586C4—3161no—
1587C4—3161no—
1588C4—3161no—
1589C4—792no—
1590C4—1581no—
1591C4—1581no—
1592C4—1581no—
1593C4—1581no—
1594C4—1581no—
1595C42−1+4×D7911yescharacteristic
1596C42−1+4×D7911yescharacteristic
1597C2—41no—
1598C2—81no—
1599C2—81no—
1600C2—3161no—
1601C2—1582no—
1602C2#536×D7911yescharacteristic
1603C2#2377816811yescharacteristic
1604C2#2377817211yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3241C2
socleC22×C79C23×D4
prime radical#23776784C2
hypercenter#3241D79
hypocenterC79#60859
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ #117 ◁ #3241

Complements

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

NH ≅ G/Ntype
1. #23776804C2semidirect
3. #23774697C2semidirect
4. #23774696C2semidirect
5. #23774695C2semidirect
6. #23774694C2semidirect
7. #23774682C2semidirect
8. #23774681C2semidirect
9. #23774680C2semidirect
10. #23774679C2semidirect
11. #23774671C2semidirect
12. #23774670C2semidirect
13. #23774669C2semidirect
14. #23774668C2semidirect
15. #23774648C2semidirect
16. #23774647C2semidirect
17. #23774646C2semidirect
18. #23773921C2semidirect
19. #23773913C2semidirect
20. #23773744C2semidirect
21. #23773719C2semidirect
22. #23773312C2semidirect
23. #23773312C2semidirect
24. #23773310C2semidirect
25. #23773308C2semidirect
26. #23773189C2semidirect
27. #23773185C2semidirect
28. #23773185C2semidirect
29. #23773181C2semidirect
30. #433×D79C2semidirect
31. C79×#3241C2semidirect
75. #19098973C22semidirect
76. #19098972C22semidirect
77. #19098971C22semidirect
78. #19098971C22semidirect
79. #19098970C22semidirect
80. #19098970C22semidirect
81. #19098969C22semidirect
82. #19098967C22semidirect
83. #19098967C22semidirect
84. #19098965C22semidirect
85. #19098962C22semidirect
86. #19098962C22semidirect
87. #19098960C22semidirect
88. #19098960C22semidirect
89. #19098933C22semidirect
90. #19098932C22semidirect
91. #19098927C22semidirect
92. #19098921C22semidirect
93. #19098921C22semidirect
94. #19098921C22semidirect
95. #19098921C22semidirect
96. #19098916C22semidirect
97. #19098916C22semidirect
98. #19098916C22semidirect
99. #19098916C22semidirect
100. #19098915C22semidirect
101. #19098914C22semidirect
102. #19098909C22semidirect
131. #19098873C22semidirect
132. #19098873C22semidirect
133. #19098871C22semidirect
134. #19098871C22semidirect
135. #19098869C22semidirect
136. #19098869C22semidirect
137. #19098867C22semidirect
138. #19098867C22semidirect
139. #19098865C22semidirect
140. #19098865C22semidirect
141. #19098863C22semidirect
142. #19098863C22semidirect
143. #19098861C22semidirect
144. #19098861C22semidirect
145. #19098859C22semidirect
146. #19098857C22semidirect
147. #19098857C22semidirect
148. #19098855C22semidirect
149. #19098853C22semidirect
150. #19098851C22semidirect
151. #19098851C22semidirect
152. #19098849C22semidirect
153. #19098847C22semidirect
154. #19098847C22semidirect
155. #19098845C22semidirect
156. #19098843C22semidirect
157. #19098841C22semidirect
158. #19098841C22semidirect
190. #501×C79C22semidirect
191. #499×C79C22semidirect
192. #490×C79C22semidirect
193. #486×C79C22semidirect
198. #478×C79C22semidirect
199. #478×C79C22semidirect
200. #476×C79C22semidirect
201. #474×C79C22semidirect
820. #3241D79semidirect
834. C79#60859semidirect
887. #501C2×D79semidirect
893. #499C2×D79semidirect
899. #490C2×D79semidirect
911. #486C2×D79semidirect
958. #478C2×D79semidirect
959. #478C2×D79semidirect
967. #476C2×D79semidirect
975. #474C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237768042
#237767842
#237746972
#237746962
#237746952
#237746942
#237746822
#237746812
#237746802
#237746792
#237746712
#237746702
#237746692
#237746682
#237746482
#237746472
#237746462
#237739212
#237739132
#237737442
#237737192
#237733122
#237733102
#237733082
#237731892
#237731852
#237731812
#433×D792
C79×#32412
#6085979