Finite Group Databasebeta

← #35160800

Subgroups — #35160800

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#23777292C211yesmaximal, characteristic
2#23777223C211yesmaximal, characteristic, complemented
3#23774701C211yesmaximal, characteristic, complemented
4#23774700C211yesmaximal, characteristic, complemented
5#23774691C211yesmaximal, characteristic, complemented
6#23774684C211yesmaximal, characteristic, complemented
7#23774683C211yesmaximal, characteristic, complemented
8#23774678C211yesmaximal, characteristic, complemented
9#23774677C211yesmaximal, characteristic, complemented
10#23774583C211yesmaximal, characteristic, complemented
11#23774582C211yesmaximal, characteristic, complemented
12#23774578C211yesmaximal, characteristic, complemented
13#23774576C211yesmaximal, characteristic, complemented
14#23774572C211yesmaximal, characteristic, complemented
15#23774571C211yesmaximal, characteristic, complemented
16#23774567C211yesmaximal, characteristic, complemented
17#23774566C211yesmaximal, characteristic, complemented
18#23773951C211yesmaximal, characteristic, complemented
19#23773909C211yesmaximal, characteristic, complemented
20#23773785C211yesmaximal, characteristic, complemented
21#488×D79C211yesmaximal, characteristic, complemented
22#23773366C211yesmaximal, characteristic, complemented
23#23773362C211yesmaximal, characteristic, complemented
24#23773357C211yesmaximal, characteristic
25#23773353C211yesmaximal, characteristic
26#23773239C211yesmaximal, characteristic, complemented
27#23773235C211yesmaximal, characteristic, complemented
28#23773230C211yesmaximal, characteristic, complemented
29#23773226C211yesmaximal, characteristic, complemented
30#23772041C211yesmaximal, characteristic, complemented
31C79×#3244C211yesmaximal, characteristic, complemented
32#19099297—21no—
33#19099295—21no—
34#19099290—21no—
35#19099288—21no—
36#19099284—21no—
37#19099280—21no—
38#19099274—21no—
39#19099271—21no—
40#19099271—21no—
41#19099269—21no—
42#19099267—21no—
43#19099267—21no—
44#19099243—21no—
45#19099240—21no—
46#19099238—21no—
47#19099236—21no—
48#19099193C2211yescharacteristic
49#19099193C2211yescharacteristic, complemented
50#19099191C2211yescharacteristic, complemented
51#19099190C2211yescharacteristic
52#19099190C2211yescharacteristic, complemented
53#19099187C2211yescharacteristic
54#19099184C2211yescharacteristic
55#19099182C2211yescharacteristic
56#19099136C2211yescharacteristic
57#19099129C2211yescharacteristic
58#19099118C2211yescharacteristic
59#19099118C2211yescharacteristic
60#19099118C2211yescharacteristic, complemented
61#19099116C2211yescharacteristic, complemented
62#19099100C2211yescharacteristic
63#19099099C2211yescharacteristic
64#19099095C2211yescharacteristic
65#19099094C2211yescharacteristic
66C2×#14579152C2211yescharacteristic, complemented
67#125×D79C2211yescharacteristic
68#125×D79C2211yescharacteristic, complemented
69#124×D79C2211yescharacteristic
70#19099044C2211yescharacteristic
71#19099043C2211yescharacteristic
72#19099039C2211yescharacteristic
73#19099035C2211yescharacteristic
74#19099031C2211yescharacteristic
75#19098973C2211yescharacteristic, complemented
76#19098972C2211yescharacteristic, complemented
77#19098969C2211yescharacteristic, complemented
78#19098966C2211yescharacteristic, complemented
79#19098966C2211yescharacteristic, complemented
80#19098964C2211yescharacteristic, complemented
81#19098964C2211yescharacteristic, complemented
82#19098963C2211yescharacteristic, complemented
83#19098963C2211yescharacteristic, complemented
84#19098963C2211yescharacteristic, complemented
85#19098963C2211yescharacteristic, complemented
86#19098963C2211yescharacteristic, complemented
87#19098963C2211yescharacteristic, complemented
88#19098961C2211yescharacteristic, complemented
89#19098925C2211yescharacteristic
90#19098923C2211yescharacteristic
91#19098922C2211yescharacteristic
92#19098920C2211yescharacteristic
93#19098919C2211yescharacteristic
94#19098919C2211yescharacteristic
95#19098919C2211yescharacteristic
96#19098919C2211yescharacteristic
97#19098918C2211yescharacteristic
98#19098917C2211yescharacteristic
99#19098916C2211yescharacteristic
100#19098916C2211yescharacteristic
101#19098916C2211yescharacteristic
102#19098916C2211yescharacteristic
103#19098907C2211yescharacteristic, complemented
104#19098907C2211yescharacteristic, complemented
105#19098905C2211yescharacteristic, complemented
106#19098904C2211yescharacteristic, complemented
107#19098902C2211yescharacteristic, complemented
108#19098902C2211yescharacteristic, complemented
109#19098901C2211yescharacteristic, complemented
110#19098900C2211yescharacteristic, complemented
111#19098898C2211yescharacteristic, complemented
112#19098897C2211yescharacteristic, complemented
113#19098896C2211yescharacteristic, complemented
114#19098895C2211yescharacteristic, complemented
115#19098894C2211yescharacteristic, complemented
116#19098892C2211yescharacteristic, complemented
117#19098889C2211yescharacteristic
118#19098889C2211yescharacteristic
119#19098888C2211yescharacteristic
120#19098887C2211yescharacteristic
121#19098886C2211yescharacteristic
122#19098886C2211yescharacteristic
123#19098884C2211yescharacteristic
124#19098883C2211yescharacteristic
125#19098882C2211yescharacteristic
126#19098880C2211yescharacteristic
127#19098878C2211yescharacteristic
128#19098876C2211yescharacteristic
129#19098875C2211yescharacteristic
130#19098874C2211yescharacteristic
131#19098873C2211yescharacteristic, complemented
132#19098873C2211yescharacteristic, complemented
133#19098871C2211yescharacteristic, complemented
134#19098870C2211yescharacteristic, complemented
135#19098868C2211yescharacteristic, complemented
136#19098868C2211yescharacteristic, complemented
137#19098867C2211yescharacteristic, complemented
138#19098865C2211yescharacteristic
139#19098865C2211yescharacteristic
140#19098864C2211yescharacteristic
141#19098863C2211yescharacteristic
142#19098862C2211yescharacteristic
143#19098862C2211yescharacteristic
144#19098860C2211yescharacteristic
145#19098858C2211yescharacteristic, complemented
146#19098857C2211yescharacteristic, complemented
147#19098856C2211yescharacteristic, complemented
148#19098855C2211yescharacteristic, complemented
149#19098854C2211yescharacteristic
150#19098852C2211yescharacteristic
151#19098851C2211yescharacteristic
152#19098849C2211yescharacteristic, complemented
153#19098847C2211yescharacteristic, complemented
154#19098846C2211yescharacteristic, complemented
155#19098843C2211yescharacteristic
156#19098842C2211yescharacteristic
157#19098841C2211yescharacteristic
158#19098840C2211yescharacteristic
159#19098625C2211yescharacteristic, complemented
160#19098624C2211yescharacteristic, complemented
161#19098622C2211yescharacteristic, complemented
162#19098615C2211yescharacteristic, complemented
163#19098615C2211yescharacteristic, complemented
164#19098613C2211yescharacteristic, complemented
165#19098613C2211yescharacteristic, complemented
166#19098604C2211yescharacteristic
167#19098604C2211yescharacteristic
168#19098602C2211yescharacteristic
169#19098602C2211yescharacteristic
170#19098598C2211yescharacteristic
171#19098598C2211yescharacteristic
172#19098598C2211yescharacteristic
173#19098598C2211yescharacteristic
174#19098588C2211yescharacteristic
175#19098588C2211yescharacteristic
176#19098570C2211yescharacteristic
177#19098570C2211yescharacteristic
178#19098566C2211yescharacteristic
179#19098566C2211yescharacteristic
180#103×D79C2211yescharacteristic
181#103×D79C2211yescharacteristic
182#102×D79C2211yescharacteristic
183#102×D79C2211yescharacteristic
184#19098528C2211yescharacteristic
185#19098528C2211yescharacteristic
186#19098515C2211yescharacteristic
187C4×C8×D79C2211yescharacteristic
188#544×C79C2211yescharacteristic, complemented
189#542×C79C2211yescharacteristic
190#501×C79C2211yescharacteristic, complemented
191#498×C79C2211yescharacteristic, complemented
192#489×C79C2211yescharacteristic
193#488×C79C2211yescharacteristic
194#485×C79C2211yescharacteristic, complemented
195#483×C79C2211yescharacteristic, complemented
196#482×C79C2211yescharacteristic
197#481×C79C2211yescharacteristic
198#479×C79C2211yescharacteristic, complemented
199#478×C79C2211yescharacteristic
200#476×C79C2211yescharacteristic
201#475×C79C2211yescharacteristic, complemented
202#433×C79C2211yescharacteristic, complemented
203C2×#11929624C2311yescharacteristic
204C2×Q8×D79C2311yescharacteristic
205C2×D4×D79C2311yescharacteristic
206C2×#11929607C2311yescharacteristic
207C2×#11929607C2311yescharacteristic
208C2×C8×D79C2311yescharacteristic
209C2×C8×D79C2311yescharacteristic
210#14579161C2311yescharacteristic
211#14579161C2311yescharacteristic
212#14579161C2311yescharacteristic
213#14579160—21no—
214#14579160—21no—
215#14579160—21no—
216#14579160—21no—
217#14579160C2311yescharacteristic
218#14579160C2311yescharacteristic
219#14579159—21no—
220#14579159—21no—
221#14579157—21no—
222#14579156—21no—
223#14579156—21no—
224#14579156—21no—
225#14579156—21no—
226#14579154—21no—
227#14579154—21no—
228#14579154—21no—
229#14579153C2311yescharacteristic
230#14579153C2311yescharacteristic
231#14579152—21no—
232#14579152—21no—
233#14579152—21no—
234#14579152C2311yescharacteristic
235#14579152C2311yescharacteristic
236#14579152C2311yescharacteristic
237#14579152C2311yescharacteristic
238#14579152C2311yescharacteristic
239#14579152C2311yescharacteristic
240#14579152C2311yescharacteristic
241#14579152C2311yescharacteristic
242#14579151—21no—
243#14579151—21no—
244#14579151—21no—
245#14579151—21no—
246#14579151—21no—
247#14579151—21no—
248#14579151—21no—
249#14579151—21no—
250#14579150—21no—
251#14579150C2311yescharacteristic
252#14579149C2311yescharacteristic
253#14579148C2311yescharacteristic
254#14579147—21no—
255#14579147—21no—
256#14579147—21no—
257#14579147—21no—
258#14579147—21no—
259#14579147—21no—
260#14579146—21no—
261#14579146—21no—
262#14579146—21no—
263#14579145—21no—
264#14579145—21no—
265#14579143—21no—
266#14579143—21no—
267#14579143—21no—
268#14579142—21no—
269#14579141—21no—
270#14579141—21no—
271#14579141—21no—
272#14579141—21no—
273#14579141—21no—
274#14579141C2311yescharacteristic
275#14579140C2311yescharacteristic
276#14579139—21no—
277#14579139—21no—
278#14579139—21no—
279#14579139—21no—
280#14579139—21no—
281#14579138—21no—
282#14579138—21no—
283#14579138—21no—
284#14579138—21no—
285#14579138—21no—
286#14579137—21no—
287#14579137—21no—
288#14579137—21no—
289#14579137—21no—
290#14579137—21no—
291#14579137—21no—
292#14579137C2311yescharacteristic
293#14579136C2311yescharacteristic
294#14579135C2311yescharacteristic
295#14579132C2311yescharacteristic
296#14579131—21no—
297#14579129—21no—
298Q8×Dic79—21no—
299Q8×Dic79—21no—
300Q8×Dic79—21no—
301Q8×Dic79C2311yescharacteristic
302C4×Dic158—21no—
303C4×Dic158—21no—
304C4×Dic158—21no—
305C4×Dic158—21no—
306C4×Dic158C2311yescharacteristic
307#14579126—21no—
308#14579126—21no—
309#14579126—21no—
310#14579126—21no—
311#14579126—21no—
312#14579126D411yescharacteristic
313#14579126D411yescharacteristic
314#14579126C2311yescharacteristic
315C4×D316—21no—
316C4×D316—21no—
317C4×D316C2311yescharacteristic
318D4×Dic79—21no—
319D4×Dic79C2311yescharacteristic
320#14579123—21no—
321#14579123D411yescharacteristic
322#14579123D411yescharacteristic
323#14579123C2311yescharacteristic
324C4×C22⋊D79—21no—
325C4×C22⋊D79—21no—
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(C22⋊D79)⋊C4D411yescharacteristic
333(C22⋊D79)⋊C4D411yescharacteristic
334(C22⋊D79)⋊C4D411yescharacteristic
335(C22⋊D79)⋊C4D411yescharacteristic
336#14579120—21no—
337#14579120C2311yescharacteristic
338#14579119—21no—
339#14579119—21no—
340#14579119C2311yescharacteristic
341#14579119C2311yescharacteristic
342#14579119C2311yescharacteristic
343#14579119C2311yescharacteristic
344#14579119C2311yescharacteristic
345#14579119C2311yescharacteristic
346#14579118—21no—
347#14579118—21no—
348#14579118C2311yescharacteristic
349#14579118C2311yescharacteristic
350#14579117—21no—
351C2×C4⋊Dic79—21no—
352C2×C4⋊Dic79C2311yescharacteristic
353C2×Dic79⋊C4—21no—
354C4⋊C4×D79—21no—
355C4⋊C4×D79—21no—
356C4⋊C4×D79—21no—
357C4⋊C4×D79—21no—
358C4⋊C4×D79C2311yescharacteristic
359C4⋊C4×D79C2311yescharacteristic
360C4⋊C4×D79C2311yescharacteristic
361C4⋊C4×D79C2311yescharacteristic
362C2×(C2×D79)⋊C4—21no—
363C22⋊C4×D79—21no—
364C22⋊C4×D79—21no—
365C22⋊C4×D79—21no—
366C2×C4×Dic79C2311yescharacteristic
367C42×D79C2311yescharacteristic
368C42×D79C2311yescharacteristic
369#14579095C2311yescharacteristic
370#14579095C2311yescharacteristic
371#14579094C2311yescharacteristic
372#14579094C2311yescharacteristic
373#14579094C2311yescharacteristic
374#14579094C2311yescharacteristic
375#14579094C2311yescharacteristic
376#14579094C2311yescharacteristic
377#14579094C2311yescharacteristic
378#14579094C2311yescharacteristic
379#14579094C2311yescharacteristic
380#14579094C2311yescharacteristic
381#14579094C2311yescharacteristic
382#14579094C2311yescharacteristic
383#14579093C2311yescharacteristic
384#14579093C2311yescharacteristic
385#14579093C2311yescharacteristic
386#14579093C2311yescharacteristic
387#14579093C2311yescharacteristic
388#14579093C2311yescharacteristic
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#14579085C2311yescharacteristic
404#14579085C2311yescharacteristic
405#14579085C2311yescharacteristic
406#14579085C2311yescharacteristic
407#14579084C2311yescharacteristic
408#14579084C2311yescharacteristic
409#14579084C2311yescharacteristic
410#14579084C2311yescharacteristic
411#14579083C2311yescharacteristic
412#14579083C2311yescharacteristic
413#14579083C2311yescharacteristic
414#14579083C2311yescharacteristic
415#14579082C2311yescharacteristic
416#14579082C2311yescharacteristic
417#14579082C2311yescharacteristic
418#14579082C2311yescharacteristic
419#14579081C2311yescharacteristic
420#14579081C2311yescharacteristic
421#14579081C2311yescharacteristic
422#14579081C2311yescharacteristic
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
430C4×C79⋊C8C2311yescharacteristic
431C8×Dic79C2311yescharacteristic
432C8×Dic79C2311yescharacteristic
433C8×Dic79C2311yescharacteristic
434C8×Dic79C2311yescharacteristic
435C4⋊Q8×C79—21no—
436C4⋊Q8×C79C2311yescharacteristic
437C4⋊Q8×C79C2311yescharacteristic
438C4⋊Q8×C79C2311yescharacteristic
439#126×C79—21no—
440#125×C79—21no—
441#125×C79C2311yescharacteristic
442#125×C79C2311yescharacteristic
443#124×C79—21no—
444#124×C79C2311yescharacteristic
445#123×C79—21no—
446C22⋊Q8×C79—21no—
447C22⋊Q8×C79—21no—
448C22⋊Q8×C79—21no—
449C22⋊Q8×C79C2311yescharacteristic
450#121×C79C2311yescharacteristic
451C4×Q8×C79C2311yescharacteristic
452C4×D4×C79C2311yescharacteristic
453#117×C79C2311yescharacteristic
454#117×C79C2311yescharacteristic
455C2×C4⋊C4×C79C2311yescharacteristic
456#107×C79C2311yescharacteristic
457#107×C79C2311yescharacteristic
458#106×C79C2311yescharacteristic
459#106×C79C2311yescharacteristic
460#106×C79C2311yescharacteristic
461#106×C79C2311yescharacteristic
462#106×C79C2311yescharacteristic
463#106×C79C2311yescharacteristic
464C4⋊C8×C79C2311yescharacteristic
465C4⋊C8×C79C2311yescharacteristic
466#103×C79C2311yescharacteristic
467#103×C79C2311yescharacteristic
468#103×C79C2311yescharacteristic
469#103×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×D79—21no—
479#11929624—22no—
480#11929624—22no—
481C2×Dic158—21no—
482C2×Dic158—21no—
483C2×Dic158—21no—
484C2×Dic158—21no—
485C2×Dic158—21no—
486C2×Dic158—21no—
487C2×Dic158C2×D411yescharacteristic
488C2×Dic158C2411yescharacteristic
489Q8×D79—22no—
490Q8×D79—22no—
491C2×D316—21no—
492C2×D316C2×D411yescharacteristic
493C2×D316C2411yescharacteristic
494C2×C22⋊D79—21no—
495C2×C22⋊D79—21no—
496C2×C22⋊D79—21no—
497C2×C22⋊D79C2×D411yescharacteristic
498C2×C22⋊D79C2×D411yescharacteristic
499D4×D79—22no—
500D4×D79—22no—
501C22×Dic79—21no—
502C22×Dic79—21no—
503C22×Dic79C2×D411yescharacteristic
504C22×Dic79C2×D411yescharacteristic
505C2×C4×D79—21no—
506C2×C4×D79—21no—
507C2×C4×D79—21no—
508C2×C4×D79—21no—
509C2×C4×D79—21no—
510C2×C4×D79—21no—
511C2×C4×D79—21no—
512C2×C4×D79C2×D411yescharacteristic
513C2×C4×D79C2×D411yescharacteristic
514C2×C4×D79C2×D411yescharacteristic
515C2×C4×D79C2×D411yescharacteristic
516C2×C4×D79C2411yescharacteristic
517C2×C4×D79C2411yescharacteristic
518#11929607—22no—
519#11929607—22no—
520C2×C79⋊C8C2411yescharacteristic
521C2×C79⋊C8C2411yescharacteristic
522C2×C79⋊C8C2411yescharacteristic
523C2×C79⋊C8C2411yescharacteristic
524C8×D79—22no—
525C8×D79—22no—
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⋊Dic79—21no—
535C4⋊Dic79—21no—
536C4⋊Dic79—21no—
537C4⋊Dic79—21no—
538C4⋊Dic79—21no—
539C4⋊Dic79—21no—
540C4⋊Dic79C2411yescharacteristic
541C4⋊Dic79C2411yescharacteristic
542C4⋊Dic79C2411yescharacteristic
543C4⋊Dic79C2411yescharacteristic
544C4⋊Dic79C2411yescharacteristic
545C4⋊Dic79C2411yescharacteristic
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⋊C4—21no—
567Dic79⋊C4—21no—
568Dic79⋊C4C2×D411yescharacteristic
569Dic79⋊C4C2×D411yescharacteristic
570Dic79⋊C4C2×D411yescharacteristic
571Dic79⋊C4C2×D411yescharacteristic
572C22⋊Dic79—21no—
573C22⋊Dic79—21no—
574C22⋊Dic79—21no—
575C22⋊Dic79—21no—
576C22⋊Dic79—21no—
577C22⋊Dic79—21no—
578(C2×D79)⋊C4—21no—
579(C2×D79)⋊C4—21no—
580(C2×D79)⋊C4—21no—
581(C2×D79)⋊C4—21no—
582(C2×D79)⋊C4—21no—
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)⋊C4—21no—
594(C2×D79)⋊C4C2×D411yescharacteristic
595(C2×D79)⋊C4C2×D411yescharacteristic
596(C2×D79)⋊C4C2×D411yescharacteristic
597(C2×D79)⋊C4C2×D411yescharacteristic
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×Dic79C2×D411yescharacteristic
609C4×Dic79C2×D411yescharacteristic
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×Q8×C79—21no—
619C2×Q8×C79C2411yescharacteristic
620C2×D4×C79—21no—
621C2×D4×C79C2411yescharacteristic
622C22×C4×C79—21no—
623C22×C4×C79—21no—
624C22×C4×C79C2411yescharacteristic
625C2×C8×C79C2411yescharacteristic
626C2×C8×C79C2411yescharacteristic
627C2×C8×C79C2411yescharacteristic
628C2×C8×C79C2411yescharacteristic
629C4⋊C4×C79—21no—
630C4⋊C4×C79—21no—
631C4⋊C4×C79—21no—
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×C79C2×D411yescharacteristic
640C4⋊C4×C79C2×D411yescharacteristic
641C4⋊C4×C79C2411yescharacteristic
642C4⋊C4×C79C2411yescharacteristic
643C4⋊C4×C79C2411yescharacteristic
644C4⋊C4×C79C2411yescharacteristic
645C4⋊C4×C79C2411yescharacteristic
646C4⋊C4×C79C2411yescharacteristic
647C22⋊C4×C79—21no—
648C22⋊C4×C79—21no—
649C22⋊C4×C79—21no—
650C22⋊C4×C79—21no—
651C22⋊C4×C79—21no—
652C22⋊C4×C79—21no—
653C22⋊C4×C79C2×D411yescharacteristic
654C22⋊C4×C79C2×D411yescharacteristic
655C42×C79—21no—
656C42×C79—21no—
657C42×C79C2411yescharacteristic
658C42×C79C2411yescharacteristic
659C23×C79—21no—
660C23×C79C22×D411yescharacteristic
661C22×D79—21no—
662C22×D79—42no—
663C22×D79—81no—
664C22×D79—81no—
665C22×D79C22×D411yescharacteristic
666C22×D79C22×D411yescharacteristic
667Q8×C79—21no—
668Q8×C79—21no—
669Q8×C79—81no—
670Q8×C79—81no—
671Q8×C79—81no—
672D4×C79—21no—
673D4×C79—21no—
674D4×C79—81no—
675C2×C4×C79—21no—
676C2×C4×C79—21no—
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—81no—
685C2×C4×C79—81no—
686C2×C4×C79C22×D411yescharacteristic
687C2×C4×C79C22×D411yescharacteristic
688C2×C4×C79C22×D411yescharacteristic
689C2×C4×C79C22×D411yescharacteristic
690C2×C4×C79C22×D411yescharacteristic
691C2×C4×C79C2511yescharacteristic
692C22⋊D79—22no—
693C22⋊D79—22no—
694C22⋊D79—42no—
695C22⋊D79—81no—
696C22⋊D79—81no—
697C2×Dic79—21no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—21no—
701C2×Dic79—21no—
702C2×Dic79—21no—
703C2×Dic79—21no—
704C2×Dic79—41no—
705C2×Dic79—41no—
706C2×Dic79—81no—
707C2×Dic79—81no—
708C2×Dic79C22×D411yescharacteristic
709C2×Dic79C22×D411yescharacteristic
710C2×Dic79C22×D411yescharacteristic
711C2×Dic79C22×D411yescharacteristic
712C2×Dic79C22×D411yescharacteristic
713C2×Dic79C22×D411yescharacteristic
714D316—22no—
715D316—21no—
716D316—21no—
717D316—81no—
718C4×D79—21no—
719C4×D79—21no—
720C4×D79—41no—
721C4×D79—41no—
722C4×D79—41no—
723C4×D79—41no—
724C4×D79—42no—
725C4×D79—81no—
726C4×D79—81no—
727C4×D79—81no—
728C4×D79—81no—
729C4×D79—81no—
730C4×D79—81no—
731C4×D792−1+412yes—
732C4×D792−1+412yes—
733Dic158—22no—
734Dic158—21no—
735Dic158—21no—
736Dic158—42no—
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×C79C23×D411yescharacteristic
757C2×D79—21no—
758C2×D79—21no—
759C2×D79—21no—
760C2×D79—21no—
761C2×D79—21no—
762C2×D79—41no—
763C2×D79—41no—
764C2×D79—41no—
765C2×D79—162no—
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×C79—41no—
779C4×C79C2×2−1+411yescharacteristic
780C4×C79C2×2−1+411yescharacteristic
781Dic79—21no—
782Dic79—21no—
783Dic79—21no—
784Dic79—21no—
785Dic79—21no—
786Dic79—41no—
787Dic79—41no—
788Dic79—41no—
789Dic79—41no—
790Dic79—41no—
791Dic79—41no—
792Dic79—41no—
793Dic79#53612yes—
794#60879—791nomaximal, Sylow
795C2×C79—41no—
796C2×C79—81no—
797C2×C79C2×#53611yescharacteristic
798C2×C79#358411yescharacteristic
799C2×C79#358411yescharacteristic
800D79—22no—
801D79—41no—
802D79—81no—
803#3510—791no—
804#3504—791no—
805#3244—791no—
806#3244—791no—
807#3244—791no—
808#3244D7911yescharacteristic, complemented
809#3243—791no—
810#3243—791no—
811#3243—791no—
812#3243—791no—
813#3233—791no—
814#3233—791no—
815#3233—791no—
816#3233—791no—
817#3232—791no—
818#3232—791no—
819#3232—791no—
820#3232—791no—
821#3166—791no—
822#3160—791no—
823#3140—791no—
824C2×#488—791no—
825#3097—791no—
826#3097—791no—
827#3096—791no—
828#3096—791no—
829#3082—791no—
830#3082—791no—
831#3081—791no—
832#3081—791no—
833#2922—791no—
834C79#6087911yescharacteristic, complemented, Sylow
835#559—1581no—
836#559—1581no—
837#557—1581no—
838#557—1581no—
839#556—1581no—
840#556—1581no—
841#554—1581no—
842#554—1581no—
843#554—1581no—
844#554—1581no—
845#554—1581no—
846#554—1581no—
847#551—1581no—
848#551—1581no—
849#551—1581no—
850#551—1581no—
851#544—791no—
852#544—791no—
853#544—791no—
854#544—791no—
855#544—791no—
856#544C2×D7911yescharacteristic, complemented
857#542—791no—
858#542—791no—
859#542—791no—
860#542C2×D7911yescharacteristic
861#536—791no—
862#535—791no—
863#533—791no—
864#533—791no—
865#533—791no—
866#533—791no—
867#529—791no—
868#529—791no—
869#529—791no—
870#529—791no—
871C2×#125—791no—
872C2×#125—791no—
873C2×#125—791no—
874C2×#124—791no—
875#520—791no—
876#520—791no—
877#519—791no—
878#518—791no—
879C4×#41—791no—
880#501—791no—
881#501—791no—
882#501—791no—
883#501C2×D7911yescharacteristic, complemented
884#500—791no—
885#500—791no—
886#499—791no—
887#499—791no—
888#499—791no—
889#499—791no—
890#499—791no—
891#499—791no—
892#499—791no—
893#499—791no—
894#498—791no—
895#498C2×D7911yescharacteristic, complemented
896#489—791no—
897#489—791no—
898#489—791no—
899#489C2×D7911yescharacteristic
900#488—791no—
901#488—791no—
902#488—791no—
903#488—791no—
904#488—791no—
905#488—791no—
906#488—791no—
907#488—791no—
908#488—791no—
909#488—791no—
910#488—791no—
911#488C2×D7911yescharacteristic
912#485—791no—
913#485—791no—
914#485—791no—
915#485—791no—
916#485—791no—
917#485—791no—
918#485—791no—
919#485C2×D7911yescharacteristic, complemented
920#484—791no—
921#484—791no—
922#484—791no—
923#484—791no—
924#483—791no—
925#483—791no—
926#483—791no—
927#483C2×D7911yescharacteristic, complemented
928#482—791no—
929#482—791no—
930#482—791no—
931#482—791no—
932#482—791no—
933#482—791no—
934#482—791no—
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#480—791no—
944#479—791no—
945#479—791no—
946#479—791no—
947#479—791no—
948#479—791no—
949#479—791no—
950#479—791no—
951#479C2×D7911yescharacteristic, complemented
952#478—791no—
953#478—791no—
954#478—791no—
955#478—791no—
956#478—791no—
957#478—791no—
958#478—791no—
959#478C2×D7911yescharacteristic
960#477—791no—
961#477—791no—
962#477—791no—
963#477—791no—
964#476—791no—
965#476—791no—
966#476—791no—
967#476C2×D7911yescharacteristic
968#475—791no—
969#475—791no—
970#475—791no—
971#475C2×D7911yescharacteristic, complemented
972#474—791no—
973#474—791no—
974#474—791no—
975#474—791no—
976#433—791no—
977#433—791no—
978#433—791no—
979#433C2×D7911yescharacteristic, complemented
980#431—791no—
981#431—791no—
982#431—791no—
983#431—791no—
984#428—791no—
985#428—791no—
986#428—791no—
987#428—791no—
988#427—791no—
989#427—791no—
990#427—791no—
991#427—791no—
992#424—791no—
993#424—791no—
994#419—791no—
995#419—791no—
996#418—791no—
997#418—791no—
998C2×#103—791no—
999C2×#103—791no—
1000C2×#102—791no—
1001C2×#102—791no—
1002#408—791no—
1003#408—791no—
1004C4×M16—791no—
1005C2×C4×C8—791no—
1006C2×#41—791no—
1007C22×Q8—791no—
1008C22×D4—791no—
1009C2×M16—791no—
1010C2×M16—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—1581no—
1020C4⋊Q8—1581no—
1021C4⋊Q8—1581no—
1022C4⋊Q8—1581no—
1023C4⋊Q8—1581no—
1024C4⋊Q8—1581no—
1025C4⋊Q8C22×D7911yescharacteristic
1026C4⋊Q8C22×D7911yescharacteristic
1027C4⋊Q8C22×D7911yescharacteristic
1028#127—1581no—
1029#126—21no—
1030#126—1581no—
1031#126—1581no—
1032#126—1581no—
1033#126—1581no—
1034#126—1581no—
1035#126—1581no—
1036#126—1581no—
1037#125—21no—
1038#125—791no—
1039#125—791no—
1040#125—791no—
1041#125—791no—
1042#125—791no—
1043#125—791no—
1044#125—791no—
1045#125—791no—
1046#125—791no—
1047#125—791no—
1048#125—1581no—
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#125C22×D7911yescharacteristic
1060#125C22×D7911yescharacteristic
1061#124—21no—
1062#124—791no—
1063#124—791no—
1064#124—791no—
1065#124—1581no—
1066#124—1581no—
1067#124—1581no—
1068#124—1581no—
1069#124—1581no—
1070#124—1581no—
1071#124—1581no—
1072#124C22×D7911yescharacteristic
1073#123—21no—
1074#123—1581no—
1075#123—1581no—
1076#123—1581no—
1077#123—1581no—
1078#123—1581no—
1079#123—1581no—
1080#123—1581no—
1081#123—1581no—
1082#123—1581no—
1083C22⋊Q8—21no—
1084C22⋊Q8—21no—
1085C22⋊Q8—21no—
1086C22⋊Q8—791no—
1087C22⋊Q8—791no—
1088C22⋊Q8—791no—
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⋊Q8C22×D7911yescharacteristic
1111#121—791no—
1112#121—791no—
1113#121—791no—
1114#121C22×D7911yescharacteristic
1115#120—1581no—
1116#120—1581no—
1117C4×Q8—791no—
1118C4×Q8—791no—
1119C4×Q8—791no—
1120C4×Q8—791no—
1121C4×Q8—791no—
1122C4×Q8—1581no—
1123C4×Q8—1581no—
1124C4×Q8—1581no—
1125C4×Q8—1581no—
1126C4×Q8—1581no—
1127C4×Q8—1581no—
1128C4×Q8—1581no—
1129C4×Q8—1581no—
1130C4×Q8—1581no—
1131C4×Q8—1581no—
1132C4×Q8—1581no—
1133C4×Q8—1581no—
1134C4×Q8C22×D7911yescharacteristic
1135C4×D4—791no—
1136C4×D4—791no—
1137C4×D4—791no—
1138C4×D4—791no—
1139C4×D4—791no—
1140C4×D4—791no—
1141C4×D4—791no—
1142C4×D4—791no—
1143C4×D4—791no—
1144C4×D4—1581no—
1145C4×D4—1581no—
1146C4×D4—1581no—
1147C4×D4—1581no—
1148C4×D4—1581no—
1149C4×D4—1581no—
1150C4×D4—1581no—
1151C4×D4—1581no—
1152C4×D4—1581no—
1153C4×D4—1581no—
1154C4×D4—1581no—
1155C4×D4—1581no—
1156C4×D4C22×D7911yescharacteristic
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—1581no—
1167#117—1581no—
1168#117—1581no—
1169#117—1581no—
1170#117—1581no—
1171#117—1581no—
1172#117C22×D7911yescharacteristic
1173#117C22×D7911yescharacteristic
1174C2×C4⋊C4—791no—
1175C2×C4⋊C4—791no—
1176C2×C4⋊C4—791no—
1177C2×C4⋊C4—791no—
1178C2×C4⋊C4—791no—
1179C2×C4⋊C4—1581no—
1180C2×C4⋊C4—1581no—
1181C2×C4⋊C4—1581no—
1182C2×C4⋊C4—1581no—
1183C2×C4⋊C4—1581no—
1184C2×C4⋊C4—1581no—
1185C2×C4⋊C4C22×D7911yescharacteristic
1186C2×C22⋊C4—1581no—
1187C2×C22⋊C4—1581no—
1188C2×C22⋊C4—1581no—
1189C2×C22⋊C4—1581no—
1190C2×C42—791no—
1191C2×C42—791no—
1192C2×C42—791no—
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#107—791no—
1206#107—791no—
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#106C22×D7911yescharacteristic
1220#106C22×D7911yescharacteristic
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#103C22×D7911yescharacteristic
1246#103C22×D7911yescharacteristic
1247#103C22×D7911yescharacteristic
1248#103C22×D7911yescharacteristic
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#102—791no—
1258#102—791no—
1259#102—791no—
1260#102—791no—
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#97C22×D7911yescharacteristic
1275C4×C8—791no—
1276C4×C8—791no—
1277C4×C8—791no—
1278C4×C8—791no—
1279C4×C8—791no—
1280C4×C8C22×D7911yescharacteristic
1281C24—1581no—
1282#41—1582no—
1283#41—1582no—
1284C2×Q8—21no—
1285C2×Q8—21no—
1286C2×Q8—21no—
1287C2×Q8—791no—
1288C2×Q8—791no—
1289C2×Q8—1581no—
1290C2×Q8—1581no—
1291C2×Q8—1581no—
1292C2×Q8—1582no—
1293C2×Q8—1582no—
1294C2×Q8—1581no—
1295C2×Q8—1581no—
1296C2×Q8—1581no—
1297C2×Q8C23×D7911yescharacteristic
1298C2×D4—21no—
1299C2×D4—791no—
1300C2×D4—791no—
1301C2×D4—791no—
1302C2×D4—791no—
1303C2×D4—1581no—
1304C2×D4—1582no—
1305C2×D4—1582no—
1306C2×D4—1581no—
1307C2×D4—1581no—
1308C2×D4—1581no—
1309C2×D4C23×D7911yescharacteristic
1310C22×C4—21no—
1311C22×C4—21no—
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—1581no—
1321C22×C4—1581no—
1322C22×C4—1581no—
1323C22×C4—1581no—
1324C22×C4—1581no—
1325C22×C4—1581no—
1326C22×C4—1581no—
1327C22×C4—1581no—
1328C22×C4—1581no—
1329C22×C4C23×D7911yescharacteristic
1330M16—1582no—
1331M16—1582no—
1332C2×C8—791no—
1333C2×C8—791no—
1334C2×C8—791no—
1335C2×C8—791no—
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—21no—
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—1581no—
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—21no—
1412C22⋊C4—791no—
1413C22⋊C4—791no—
1414C22⋊C4—791no—
1415C22⋊C4—791no—
1416C22⋊C4—1581no—
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—21no—
1442C42—791no—
1443C42—791no—
1444C42—791no—
1445C42—791no—
1446C42—791no—
1447C42—791no—
1448C42—791no—
1449C42—791no—
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—3162no—
1464C23—791no—
1465C23—791no—
1466C23—6321no—
1467C23—6321no—
1468C23—1581no—
1469C23C2×D4×D7911yescharacteristic
1470Q8—21no—
1471Q8—21no—
1472Q8—81no—
1473Q8—81no—
1474Q8—81no—
1475Q8—3162no—
1476Q8—6321no—
1477Q8—6321no—
1478Q8—6321no—
1479Q8—6321no—
1480Q8—6321no—
1481Q8—1582no—
1482Q8—1581no—
1483Q8—1581no—
1484D4—21no—
1485D4—21no—
1486D4—81no—
1487D4—3162no—
1488D4—6321no—
1489D4—6321no—
1490D4—6321no—
1491D4—1582no—
1492D4—1582no—
1493D4—1582no—
1494D4—1581no—
1495D4—1581no—
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—21no—
1505C2×C4—81no—
1506C2×C4—81no—
1507C2×C4—3161no—
1508C2×C4—3161no—
1509C2×C4—3161no—
1510C2×C4—3161no—
1511C2×C4—3162no—
1512C2×C4—3161no—
1513C2×C4—3161no—
1514C2×C4—791no—
1515C2×C4—792no—
1516C2×C4—792no—
1517C2×C4—791no—
1518C2×C4—791no—
1519C2×C4—791no—
1520C2×C4—791no—
1521C2×C4—791no—
1522C2×C4—6321no—
1523C2×C4—6321no—
1524C2×C4—6321no—
1525C2×C4—6321no—
1526C2×C4—6321no—
1527C2×C4—6321no—
1528C2×C4—6321no—
1529C2×C4—6321no—
1530C2×C4—1581no—
1531C2×C4—1581no—
1532C2×C4—1581no—
1533C2×C4—1581no—
1534C2×C4—1581no—
1535C2×C4—1581no—
1536C2×C4—1581no—
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—3161no—
1560C22—3161no—
1561C22—3161no—
1562C22—792no—
1563C22—1581no—
1564C22—1581no—
1565C22—1581no—
1566C22—1581no—
1567C22—1581no—
1568C22—12642no—
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—41no—
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—3161no—
1600C2—6321no—
1601C2—1582no—
1602C2#536×D7911yescharacteristic
1603C2#2377817211yescharacteristic
1604C2#2377817211yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3244C2
socleC22×C79C23×D4
prime radical#19099129C22
hypercenter#3244D79
hypocenterC79#60879
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ #117 ◁ #3244

Complements

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

NH ≅ G/Ntype
2. #23777223C2semidirect
3. #23774701C2semidirect
4. #23774700C2semidirect
5. #23774691C2semidirect
6. #23774684C2semidirect
7. #23774683C2semidirect
8. #23774678C2semidirect
9. #23774677C2semidirect
10. #23774583C2semidirect
11. #23774582C2semidirect
12. #23774578C2semidirect
13. #23774576C2semidirect
14. #23774572C2semidirect
15. #23774571C2semidirect
16. #23774567C2semidirect
17. #23774566C2semidirect
18. #23773951C2semidirect
19. #23773909C2semidirect
20. #23773785C2semidirect
21. #488×D79C2semidirect
22. #23773366C2semidirect
23. #23773362C2semidirect
26. #23773239C2semidirect
27. #23773235C2semidirect
28. #23773230C2semidirect
29. #23773226C2semidirect
30. #23772041C2semidirect
31. C79×#3244C2semidirect
49. #19099193C22semidirect
50. #19099191C22semidirect
52. #19099190C22semidirect
60. #19099118C22semidirect
61. #19099116C22semidirect
66. C2×#14579152C22semidirect
68. #125×D79C22semidirect
75. #19098973C22semidirect
76. #19098972C22semidirect
77. #19098969C22semidirect
78. #19098966C22semidirect
79. #19098966C22semidirect
80. #19098964C22semidirect
81. #19098964C22semidirect
82. #19098963C22semidirect
83. #19098963C22semidirect
84. #19098963C22semidirect
85. #19098963C22semidirect
86. #19098963C22semidirect
87. #19098963C22semidirect
88. #19098961C22semidirect
103. #19098907C22semidirect
104. #19098907C22semidirect
105. #19098905C22semidirect
106. #19098904C22semidirect
107. #19098902C22semidirect
108. #19098902C22semidirect
109. #19098901C22semidirect
110. #19098900C22semidirect
111. #19098898C22semidirect
112. #19098897C22semidirect
113. #19098896C22semidirect
114. #19098895C22semidirect
115. #19098894C22semidirect
116. #19098892C22semidirect
131. #19098873C22semidirect
132. #19098873C22semidirect
133. #19098871C22semidirect
134. #19098870C22semidirect
135. #19098868C22semidirect
136. #19098868C22semidirect
137. #19098867C22semidirect
145. #19098858C22semidirect
146. #19098857C22semidirect
147. #19098856C22semidirect
148. #19098855C22semidirect
152. #19098849C22semidirect
153. #19098847C22semidirect
154. #19098846C22semidirect
159. #19098625C22semidirect
160. #19098624C22semidirect
161. #19098622C22semidirect
162. #19098615C22semidirect
163. #19098615C22semidirect
164. #19098613C22semidirect
165. #19098613C22semidirect
188. #544×C79C22semidirect
190. #501×C79C22semidirect
191. #498×C79C22semidirect
194. #485×C79C22semidirect
195. #483×C79C22semidirect
198. #479×C79C22semidirect
201. #475×C79C22semidirect
202. #433×C79C22semidirect
808. #3244D79semidirect
834. C79#60879semidirect
856. #544C2×D79semidirect
883. #501C2×D79semidirect
895. #498C2×D79semidirect
919. #485C2×D79semidirect
927. #483C2×D79semidirect
951. #479C2×D79semidirect
971. #475C2×D79semidirect
979. #433C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237772922
#237772232
#237747012
#237747002
#237746912
#237746842
#237746832
#237746782
#237746772
#237745832
#237745822
#237745782
#237745762
#237745722
#237745712
#237745672
#237745662
#237739512
#237739092
#237737852
#488×D792
#237733662
#237733622
#237733572
#237733532
#237732392
#237732352
#237732302
#237732262
#237720412
C79×#32442
#6087979