Finite Group Databasebeta

← #35160884

Subgroups — #35160884

Order 20224.

1682 conjugacy classes of subgroups.

The subgroup lattice has 1620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777292C211yesmaximal, characteristic
2#23777215C211yesmaximal, characteristic, complemented
3#23774701C211yesmaximal, characteristic, complemented
4#23774699C211yesmaximal, characteristic, complemented
5#23774692C211yesmaximal, characteristic, complemented
6#23774685C211yesmaximal, characteristic, complemented
7#23774683C211yesmaximal, characteristic, complemented
8#23774678C211yesmaximal, characteristic, complemented
9#23774676C211yesmaximal, characteristic, complemented
10#23774645C211yesmaximal, characteristic, complemented
11#23774644C211yesmaximal, characteristic, complemented
12#23774639C211yesmaximal, characteristic, complemented
13#23774638C211yesmaximal, characteristic, complemented
14#23774634C211yesmaximal, characteristic, complemented
15#23774628C211yesmaximal, characteristic, complemented
16#23774624C211yesmaximal, characteristic, complemented
17#23774620C211yesmaximal, characteristic, complemented
18#23773941C211yesmaximal, characteristic, complemented
19#23773921C211yesmaximal, characteristic, complemented
20#23773783C211yesmaximal, characteristic, complemented
21#489×D79C211yesmaximal, characteristic, complemented
22#23773364C211yesmaximal, characteristic, complemented
23#23773362C211yesmaximal, characteristic, complemented
24#23773357C211yesmaximal, characteristic
25#23773355C211yesmaximal, characteristic
26#23773241C211yesmaximal, characteristic, complemented
27#23773235C211yesmaximal, characteristic, complemented
28#23773228C211yesmaximal, characteristic, complemented
29#23773226C211yesmaximal, characteristic, complemented
30#23772048C211yesmaximal, characteristic, complemented
31C79×#3244C211yesmaximal, characteristic, complemented
32#19099297—21no—
33#19099295—21no—
34#19099293—21no—
35#19099290—21no—
36#19099284—21no—
37#19099280—21no—
38#19099269—21no—
39#19099267—21no—
40#19099267—21no—
41#19099243—21no—
42#19099240—21no—
43#19099238—21no—
44#19099236—21no—
45#19099228—21no—
46#19099226—21no—
47#19099226—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#19099119C2211yescharacteristic
59#19099119C2211yescharacteristic, complemented
60#19099118C2211yescharacteristic
61#19099116C2211yescharacteristic, complemented
62C2×#14579160C2211yescharacteristic, complemented
63C4⋊Q8×D79C2211yescharacteristic
64C4⋊Q8×D79C2211yescharacteristic, complemented
65#19099100C2211yescharacteristic
66#19099099C2211yescharacteristic
67#19099095C2211yescharacteristic
68#19099094C2211yescharacteristic
69#124×D79C2211yescharacteristic
70#19099044C2211yescharacteristic
71#19099043C2211yescharacteristic
72#19099039C2211yescharacteristic
73#19099035C2211yescharacteristic
74#19099031C2211yescharacteristic
75#19098973C2211yescharacteristic, complemented
76#19098972C2211yescharacteristic, complemented
77#19098971C2211yescharacteristic, complemented
78#19098971C2211yescharacteristic, complemented
79#19098970C2211yescharacteristic, complemented
80#19098970C2211yescharacteristic, complemented
81#19098970C2211yescharacteristic, complemented
82#19098970C2211yescharacteristic, complemented
83#19098970C2211yescharacteristic, complemented
84#19098970C2211yescharacteristic, complemented
85#19098969C2211yescharacteristic, complemented
86#19098968C2211yescharacteristic, complemented
87#19098966C2211yescharacteristic, complemented
88#19098959C2211yescharacteristic, complemented
89#19098925C2211yescharacteristic
90#19098924C2211yescharacteristic
91#19098924C2211yescharacteristic
92#19098924C2211yescharacteristic
93#19098924C2211yescharacteristic
94#19098923C2211yescharacteristic
95#19098922C2211yescharacteristic
96#19098921C2211yescharacteristic
97#19098921C2211yescharacteristic
98#19098921C2211yescharacteristic
99#19098921C2211yescharacteristic
100#19098920C2211yescharacteristic
101#19098918C2211yescharacteristic
102#19098917C2211yescharacteristic
103#19098907C2211yescharacteristic, complemented
104#19098906C2211yescharacteristic, complemented
105#19098905C2211yescharacteristic, complemented
106#19098904C2211yescharacteristic, complemented
107#19098903C2211yescharacteristic, complemented
108#19098902C2211yescharacteristic, complemented
109#19098901C2211yescharacteristic, complemented
110#19098899C2211yescharacteristic, complemented
111#19098898C2211yescharacteristic, complemented
112#19098897C2211yescharacteristic, complemented
113#19098897C2211yescharacteristic, complemented
114#19098895C2211yescharacteristic, complemented
115#19098895C2211yescharacteristic, complemented
116#19098891C2211yescharacteristic, complemented
117#19098890C2211yescharacteristic
118#19098889C2211yescharacteristic
119#19098888C2211yescharacteristic
120#19098887C2211yescharacteristic
121#19098886C2211yescharacteristic
122#19098885C2211yescharacteristic
123#19098884C2211yescharacteristic
124#19098883C2211yescharacteristic
125#19098883C2211yescharacteristic
126#19098879C2211yescharacteristic
127#19098877C2211yescharacteristic
128#19098876C2211yescharacteristic
129#19098875C2211yescharacteristic
130#19098875C2211yescharacteristic
131#19098873C2211yescharacteristic, complemented
132#19098872C2211yescharacteristic, complemented
133#19098871C2211yescharacteristic, complemented
134#19098870C2211yescharacteristic, complemented
135#19098869C2211yescharacteristic, complemented
136#19098868C2211yescharacteristic, complemented
137#19098867C2211yescharacteristic, complemented
138#19098866C2211yescharacteristic
139#19098865C2211yescharacteristic
140#19098864C2211yescharacteristic
141#19098863C2211yescharacteristic
142#19098862C2211yescharacteristic
143#19098861C2211yescharacteristic
144#19098860C2211yescharacteristic
145#19098859C2211yescharacteristic, complemented
146#19098856C2211yescharacteristic, complemented
147#19098856C2211yescharacteristic, complemented
148#19098855C2211yescharacteristic, complemented
149#19098853C2211yescharacteristic
150#19098852C2211yescharacteristic
151#19098852C2211yescharacteristic
152#19098848C2211yescharacteristic, complemented
153#19098847C2211yescharacteristic, complemented
154#19098847C2211yescharacteristic, complemented
155#19098844C2211yescharacteristic
156#19098841C2211yescharacteristic
157#19098841C2211yescharacteristic
158#19098840C2211yescharacteristic
159#19098625C2211yescharacteristic, complemented
160#19098624C2211yescharacteristic, complemented
161#19098622C2211yescharacteristic, complemented
162#19098619C2211yescharacteristic, complemented
163#19098619C2211yescharacteristic, complemented
164#19098617C2211yescharacteristic, complemented
165#19098617C2211yescharacteristic, complemented
166#19098602C2211yescharacteristic
167#19098602C2211yescharacteristic
168#19098602C2211yescharacteristic
169#19098602C2211yescharacteristic
170#19098600C2211yescharacteristic
171#19098600C2211yescharacteristic
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
186C4×#11929607C2211yescharacteristic
187#97×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
204C22×Dic158—21no—
205C2×Q8×D79—21no—
206C2×Q8×D79—21no—
207C2×Q8×D79C2311yescharacteristic
208C2×D4×D79C2311yescharacteristic
209C2×#11929607C2311yescharacteristic
210C2×#11929607C2311yescharacteristic
211C2×C8×D79C2311yescharacteristic
212C2×C8×D79C2311yescharacteristic
213#14579161C2311yescharacteristic
214#14579161C2311yescharacteristic
215#14579161C2311yescharacteristic
216#14579160—21no—
217#14579160—21no—
218#14579160—21no—
219#14579160—21no—
220#14579160—21no—
221#14579160—21no—
222#14579160—21no—
223#14579160—21no—
224#14579160C2311yescharacteristic
225#14579160C2311yescharacteristic
226#14579160C2311yescharacteristic
227#14579160C2311yescharacteristic
228#14579160C2311yescharacteristic
229#14579160C2311yescharacteristic
230#14579159—21no—
231#14579159—21no—
232#14579159—21no—
233#14579159—21no—
234#14579157—21no—
235#14579156—21no—
236#14579156—21no—
237#14579156—21no—
238#14579156—21no—
239#14579154—21no—
240#14579154—21no—
241#14579154—21no—
242#14579153C2311yescharacteristic
243#14579153C2311yescharacteristic
244#14579152—21no—
245#14579152C2311yescharacteristic
246#14579152C2311yescharacteristic
247#14579152C2311yescharacteristic
248#14579152C2311yescharacteristic
249#14579151—21no—
250#14579151—21no—
251#14579151—21no—
252#14579151—21no—
253#14579150—21no—
254#14579150C2311yescharacteristic
255#14579149C2311yescharacteristic
256#14579148C2311yescharacteristic
257#14579147—21no—
258#14579147—21no—
259#14579147—21no—
260#14579147—21no—
261#14579147—21no—
262#14579147—21no—
263#14579146—21no—
264#14579146—21no—
265#14579146—21no—
266#14579145—21no—
267#14579145—21no—
268#14579143—21no—
269#14579143—21no—
270#14579143—21no—
271#14579142—21no—
272#14579141—21no—
273#14579141—21no—
274#14579141—21no—
275#14579141C2311yescharacteristic
276#14579140C2311yescharacteristic
277#14579139—21no—
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#14579138—21no—
287#14579138—21no—
288#14579138—21no—
289#14579138—21no—
290#14579138—21no—
291#14579137—21no—
292#14579137—21no—
293#14579137—21no—
294#14579137—21no—
295#14579137C2311yescharacteristic
296#14579136C2311yescharacteristic
297#14579135C2311yescharacteristic
298#14579132C2311yescharacteristic
299#14579131—21no—
300#14579129—21no—
301Q8×Dic79—21no—
302Q8×Dic79C2311yescharacteristic
303C4×Dic158—21no—
304C4×Dic158—21no—
305C4×Dic158—21no—
306C4×Dic158—21no—
307C4×Dic158C2311yescharacteristic
308#14579126—21no—
309#14579126—21no—
310#14579126—21no—
311#14579126—21no—
312#14579126—21no—
313#14579126—21no—
314#14579126—21no—
315#14579126D411yescharacteristic
316#14579126D411yescharacteristic
317#14579126C2311yescharacteristic
318C4×D316—21no—
319C4×D316—21no—
320C4×D316C2311yescharacteristic
321D4×Dic79—21no—
322D4×Dic79C2311yescharacteristic
323#14579123—21no—
324#14579123D411yescharacteristic
325#14579123D411yescharacteristic
326#14579123C2311yescharacteristic
327C4×C22⋊D79—21no—
328C4×C22⋊D79—21no—
329C4×C22⋊D79—21no—
330C4×C22⋊D79—21no—
331(C22⋊D79)⋊C4—21no—
332(C22⋊D79)⋊C4—21no—
333(C22⋊D79)⋊C4—21no—
334(C22⋊D79)⋊C4—21no—
335(C22⋊D79)⋊C4D411yescharacteristic
336(C22⋊D79)⋊C4D411yescharacteristic
337(C22⋊D79)⋊C4D411yescharacteristic
338(C22⋊D79)⋊C4D411yescharacteristic
339#14579120—21no—
340#14579120C2311yescharacteristic
341#14579119—21no—
342#14579119—21no—
343#14579119C2311yescharacteristic
344#14579119C2311yescharacteristic
345#14579119C2311yescharacteristic
346#14579119C2311yescharacteristic
347#14579119C2311yescharacteristic
348#14579119C2311yescharacteristic
349#14579118—21no—
350#14579118—21no—
351#14579118C2311yescharacteristic
352#14579118C2311yescharacteristic
353#14579117—21no—
354C2×C4⋊Dic79C2311yescharacteristic
355C2×Dic79⋊C4—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#14579095C2311yescharacteristic
372#14579095C2311yescharacteristic
373#14579095C2311yescharacteristic
374#14579095C2311yescharacteristic
375#14579094C2311yescharacteristic
376#14579094C2311yescharacteristic
377#14579094C2311yescharacteristic
378#14579094C2311yescharacteristic
379#14579094C2311yescharacteristic
380#14579094C2311yescharacteristic
381#14579094C2311yescharacteristic
382#14579094C2311yescharacteristic
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#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
430#14579071C2311yescharacteristic
431#14579071C2311yescharacteristic
432#14579071C2311yescharacteristic
433#14579071C2311yescharacteristic
434C4×C79⋊C8C2311yescharacteristic
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×Dic158—21no—
488C2×Dic158—21no—
489C2×Dic158—21no—
490C2×Dic158—21no—
491C2×Dic158—82no—
492C2×Dic158C2×D411yescharacteristic
493C2×Dic158C2411yescharacteristic
494Q8×D79—22no—
495Q8×D79—22no—
496Q8×D79—82no—
497Q8×D79—82no—
498C2×D316—21no—
499C2×D316C2×D411yescharacteristic
500C2×D316C2411yescharacteristic
501C2×C22⋊D79—21no—
502C2×C22⋊D79—21no—
503C2×C22⋊D79—21no—
504C2×C22⋊D79C2×D411yescharacteristic
505C2×C22⋊D79C2×D411yescharacteristic
506D4×D79—22no—
507D4×D79—22no—
508C22×Dic79—21no—
509C22×Dic79—21no—
510C22×Dic79C2×D411yescharacteristic
511C22×Dic79C2×D411yescharacteristic
512C2×C4×D79—21no—
513C2×C4×D79—21no—
514C2×C4×D79—21no—
515C2×C4×D79—21no—
516C2×C4×D79—21no—
517C2×C4×D79—21no—
518C2×C4×D79—21no—
519C2×C4×D79C2×D411yescharacteristic
520C2×C4×D79C2×D411yescharacteristic
521C2×C4×D79C2×D411yescharacteristic
522C2×C4×D79C2×D411yescharacteristic
523C2×C4×D79C2411yescharacteristic
524C2×C4×D79C2411yescharacteristic
525#11929607—22no—
526#11929607—22no—
527C2×C79⋊C8C2411yescharacteristic
528C2×C79⋊C8C2411yescharacteristic
529C2×C79⋊C8C2411yescharacteristic
530C2×C79⋊C8C2411yescharacteristic
531C8×D79—22no—
532C8×D79—22no—
533C4⋊Dic79—21no—
534C4⋊Dic79—21no—
535C4⋊Dic79—21no—
536C4⋊Dic79—21no—
537C4⋊Dic79—21no—
538C4⋊Dic79—21no—
539C4⋊Dic79—21no—
540C4⋊Dic79—21no—
541C4⋊Dic79—21no—
542C4⋊Dic79—21no—
543C4⋊Dic79C2411yescharacteristic
544C4⋊Dic79C2411yescharacteristic
545C4⋊Dic79C2411yescharacteristic
546C4⋊Dic79C2411yescharacteristic
547C4⋊Dic79C2411yescharacteristic
548C4⋊Dic79C2411yescharacteristic
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⋊C4—21no—
569Dic79⋊C4—21no—
570Dic79⋊C4—21no—
571Dic79⋊C4C2×D411yescharacteristic
572Dic79⋊C4C2×D411yescharacteristic
573Dic79⋊C4C2×D411yescharacteristic
574Dic79⋊C4C2×D411yescharacteristic
575C22⋊Dic79—21no—
576C22⋊Dic79—21no—
577C22⋊Dic79—21no—
578C22⋊Dic79—21no—
579C22⋊Dic79—21no—
580C22⋊Dic79—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)⋊C4—21no—
595(C2×D79)⋊C4—21no—
596(C2×D79)⋊C4—21no—
597(C2×D79)⋊C4C2×D411yescharacteristic
598(C2×D79)⋊C4C2×D411yescharacteristic
599(C2×D79)⋊C4C2×D411yescharacteristic
600(C2×D79)⋊C4C2×D411yescharacteristic
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×Dic79—21no—
611C4×Dic79C2×D411yescharacteristic
612C4×Dic79C2×D411yescharacteristic
613C4×Dic79C2×D411yescharacteristic
614C4×Dic79C2×D411yescharacteristic
615C4×Dic79C2×D411yescharacteristic
616C4×Dic79C2×D411yescharacteristic
617C4×Dic79C2411yescharacteristic
618C4×Dic79C2411yescharacteristic
619C2×Q8×C79—21no—
620C2×Q8×C79—21no—
621C2×Q8×C79—21no—
622C2×Q8×C79C2411yescharacteristic
623C2×D4×C79—21no—
624C2×D4×C79C2411yescharacteristic
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×C79—21no—
642C4⋊C4×C79C2×D411yescharacteristic
643C4⋊C4×C79C2×D411yescharacteristic
644C4⋊C4×C79C2411yescharacteristic
645C4⋊C4×C79C2411yescharacteristic
646C4⋊C4×C79C2411yescharacteristic
647C4⋊C4×C79C2411yescharacteristic
648C4⋊C4×C79C2411yescharacteristic
649C4⋊C4×C79C2411yescharacteristic
650C22⋊C4×C79—21no—
651C22⋊C4×C79—21no—
652C22⋊C4×C79—21no—
653C22⋊C4×C79—21no—
654C22⋊C4×C79—21no—
655C22⋊C4×C79—21no—
656C22⋊C4×C79C2×D411yescharacteristic
657C22⋊C4×C79C2×D411yescharacteristic
658C42×C79—21no—
659C42×C79—21no—
660C42×C79C2411yescharacteristic
661C42×C79C2411yescharacteristic
662C23×C79—21no—
663C23×C79C22×D411yescharacteristic
664C22×D79—21no—
665C22×D79—42no—
666C22×D79—81no—
667C22×D79—81no—
668C22×D79C22×D411yescharacteristic
669C22×D79C22×D411yescharacteristic
670Q8×C79—21no—
671Q8×C79—21no—
672Q8×C79—81no—
673Q8×C79—81no—
674Q8×C79—81no—
675D4×C79—21no—
676D4×C79—21no—
677D4×C79—81no—
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—21no—
686C2×C4×C79—21no—
687C2×C4×C79—81no—
688C2×C4×C79—81no—
689C2×C4×C79C22×D411yescharacteristic
690C2×C4×C79C22×D411yescharacteristic
691C2×C4×C79C22×D411yescharacteristic
692C2×C4×C79C22×D411yescharacteristic
693C2×C4×C79C22×D411yescharacteristic
694C2×C4×C79C2511yescharacteristic
695C22⋊D79—22no—
696C22⋊D79—22no—
697C22⋊D79—42no—
698C22⋊D79—81no—
699C22⋊D79—81no—
700C2×Dic79—21no—
701C2×Dic79—21no—
702C2×Dic79—21no—
703C2×Dic79—21no—
704C2×Dic79—21no—
705C2×Dic79—21no—
706C2×Dic79—21no—
707C2×Dic79—41no—
708C2×Dic79—41no—
709C2×Dic79—81no—
710C2×Dic79—81no—
711C2×Dic79C22×D411yescharacteristic
712C2×Dic79C22×D411yescharacteristic
713C2×Dic79C22×D411yescharacteristic
714C2×Dic79C22×D411yescharacteristic
715C2×Dic79C22×D411yescharacteristic
716C2×Dic79C22×D411yescharacteristic
717D316—22no—
718D316—21no—
719D316—21no—
720D316—81no—
721C4×D79—21no—
722C4×D79—21no—
723C4×D79—41no—
724C4×D79—41no—
725C4×D79—41no—
726C4×D79—41no—
727C4×D79—42no—
728C4×D79—81no—
729C4×D79—81no—
730C4×D79—81no—
731C4×D79—81no—
732C4×D79—81no—
733C4×D79—81no—
734C4×D792−1+412yes—
735C4×D792−1+412yes—
736Dic158—22no—
737Dic158—21no—
738Dic158—21no—
739Dic158—42no—
740Dic158—42no—
741Dic158—42no—
742Dic158—42no—
743Dic158—42no—
744Dic158—81no—
745Dic158—81no—
746Dic158—81no—
747Dic158—81no—
748Dic158—81no—
749C8×C79—21no—
750C8×C79—21no—
751C8×C79—21no—
752C8×C79—21no—
753C79⋊C8—21no—
754C79⋊C8—21no—
755C79⋊C8—21no—
756C79⋊C8—21no—
757C22×C79—21no—
758C22×C79—21no—
759C22×C79—21no—
760C22×C79—41no—
761C22×C79—41no—
762C22×C79—41no—
763C22×C79C23×D411yescharacteristic
764C2×D79—21no—
765C2×D79—21no—
766C2×D79—21no—
767C2×D79—21no—
768C2×D79—21no—
769C2×D79—41no—
770C2×D79—41no—
771C2×D79—41no—
772C2×D79—162no—
773C2×D79#53612yes—
774C4×C79—21no—
775C4×C79—21no—
776C4×C79—21no—
777C4×C79—21no—
778C4×C79—21no—
779C4×C79—41no—
780C4×C79—41no—
781C4×C79—41no—
782C4×C79—41no—
783C4×C79—41no—
784C4×C79—41no—
785C4×C79—41no—
786C4×C79C2×2−1+411yescharacteristic
787C4×C79C2×2−1+411yescharacteristic
788Dic79—21no—
789Dic79—21no—
790Dic79—21no—
791Dic79—21no—
792Dic79—21no—
793Dic79—41no—
794Dic79—41no—
795Dic79—41no—
796Dic79—41no—
797Dic79—41no—
798Dic79—41no—
799Dic79—41no—
800Dic79#53612yes—
801#60885—791nomaximal, Sylow
802C2×C79—41no—
803C2×C79—81no—
804C2×C79C2×#53611yescharacteristic
805C2×C79#358511yescharacteristic
806C2×C79#358611yescharacteristic
807D79—22no—
808D79—41no—
809D79—81no—
810#3510—791no—
811#3503—791no—
812#3244—791no—
813#3244—791no—
814#3244—791no—
815#3244D7911yescharacteristic, complemented
816#3243—791no—
817#3243—791no—
818#3243—791no—
819#3243—791no—
820#3240—791no—
821#3240—791no—
822#3240—791no—
823#3240—791no—
824#3239—791no—
825#3239—791no—
826#3238—791no—
827#3238—791no—
828#3165—791no—
829#3162—791no—
830#3140—791no—
831C2×#489—791no—
832#3097—791no—
833#3097—791no—
834#3096—791no—
835#3096—791no—
836#3082—791no—
837#3082—791no—
838#3081—791no—
839#3081—791no—
840#2923—791no—
841C79#6088511yescharacteristic, complemented, Sylow
842#559—1581no—
843#559—1581no—
844Q82—1581no—
845#557—1581no—
846#556—1581no—
847#556—1581no—
848#554—1581no—
849#554—1581no—
850#554—1581no—
851#551—1581no—
852#551—1581no—
853#551—1581no—
854#551—1581no—
855D4×Q8—1581no—
856D4×Q8—1581no—
857D4×Q8—1581no—
858#544—791no—
859#544—791no—
860#544—791no—
861#544—791no—
862#544—791no—
863#544C2×D7911yescharacteristic, complemented
864#542—791no—
865#542—791no—
866#542—791no—
867#542C2×D7911yescharacteristic
868#536—791no—
869#535—791no—
870#533—791no—
871#533—791no—
872#533—791no—
873#533—791no—
874C2×C4⋊Q8—791no—
875C2×C4⋊Q8—791no—
876C2×C4⋊Q8—791no—
877#529—791no—
878#529—791no—
879#529—791no—
880#529—791no—
881C2×#124—791no—
882#520—791no—
883#520—791no—
884#519—791no—
885#518—791no—
886C4×#41—791no—
887#501—791no—
888#501—791no—
889#501—791no—
890#501—791no—
891#501—791no—
892#501—791no—
893#501—791no—
894#501—791no—
895#501—791no—
896#501—791no—
897#501—791no—
898#501C2×D7911yescharacteristic, complemented
899#500—791no—
900#500—791no—
901#498—791no—
902#498C2×D7911yescharacteristic, complemented
903#489—791no—
904#489—791no—
905#489—791no—
906#489—791no—
907#489—791no—
908#489—791no—
909#489—791no—
910#489—791no—
911#489—791no—
912#489—791no—
913#489—791no—
914#489C2×D7911yescharacteristic
915#488—791no—
916#488—791no—
917#488—791no—
918#488C2×D7911yescharacteristic
919#485—791no—
920#485—791no—
921#485—791no—
922#485—791no—
923#485—791no—
924#485—791no—
925#485—791no—
926#485C2×D7911yescharacteristic, complemented
927#484—791no—
928#484—791no—
929#484—791no—
930#484—791no—
931#483—791no—
932#483—791no—
933#483—791no—
934#483C2×D7911yescharacteristic, complemented
935#482—791no—
936#482—791no—
937#482—791no—
938#482—791no—
939#482—791no—
940#482—791no—
941#482—791no—
942#482C2×D7911yescharacteristic
943#481—791no—
944#481—791no—
945#481—791no—
946#481C2×D7911yescharacteristic
947#480—791no—
948#480—791no—
949#480—791no—
950#480—791no—
951#479—791no—
952#479—791no—
953#479—791no—
954#479—791no—
955#479—791no—
956#479—791no—
957#479—791no—
958#479C2×D7911yescharacteristic, complemented
959#478—791no—
960#478—791no—
961#478—791no—
962#478—791no—
963#478—791no—
964#478—791no—
965#478—791no—
966#478C2×D7911yescharacteristic
967#477—791no—
968#477—791no—
969#477—791no—
970#477—791no—
971#476—791no—
972#476—791no—
973#476—791no—
974#476C2×D7911yescharacteristic
975#475—791no—
976#475—791no—
977#475—791no—
978#475C2×D7911yescharacteristic, complemented
979#474—791no—
980#474—791no—
981#474—791no—
982#474—791no—
983#433—791no—
984#433—791no—
985#433—791no—
986#433C2×D7911yescharacteristic, complemented
987#432—791no—
988#432—791no—
989#432—791no—
990#432—791no—
991#428—791no—
992#428—791no—
993#428—791no—
994#428—791no—
995#427—791no—
996#427—791no—
997#427—791no—
998#427—791no—
999#424—791no—
1000#424—791no—
1001#419—791no—
1002#419—791no—
1003#418—791no—
1004#418—791no—
1005C2×#103—791no—
1006C2×#103—791no—
1007C2×#102—791no—
1008C2×#102—791no—
1009#408—791no—
1010#408—791no—
1011C4×M16—791no—
1012C2×#97—791no—
1013C2×#41—791no—
1014C22×Q8—791no—
1015C22×Q8—1581no—
1016C22×Q8—1581no—
1017C22×Q8—1581no—
1018C22×D4—791no—
1019C2×M16—791no—
1020C2×M16—791no—
1021C22×C8—791no—
1022C22×C8—791no—
1023C4⋊Q8—21no—
1024C4⋊Q8—791no—
1025C4⋊Q8—791no—
1026C4⋊Q8—791no—
1027C4⋊Q8—791no—
1028C4⋊Q8—791no—
1029C4⋊Q8—791no—
1030C4⋊Q8—791no—
1031C4⋊Q8—791no—
1032C4⋊Q8—791no—
1033C4⋊Q8—1581no—
1034C4⋊Q8—1581no—
1035C4⋊Q8—1581no—
1036C4⋊Q8—1581no—
1037C4⋊Q8—1581no—
1038C4⋊Q8—1581no—
1039C4⋊Q8—1581no—
1040C4⋊Q8—1581no—
1041C4⋊Q8—1581no—
1042C4⋊Q8—1581no—
1043C4⋊Q8—1581no—
1044C4⋊Q8—1581no—
1045C4⋊Q8C22×D7911yescharacteristic
1046C4⋊Q8C22×D7911yescharacteristic
1047C4⋊Q8C22×D7911yescharacteristic
1048#127—1581no—
1049#126—21no—
1050#126—1581no—
1051#126—1581no—
1052#126—1581no—
1053#126—1581no—
1054#126—1581no—
1055#126—1581no—
1056#126—1581no—
1057#125—21no—
1058#125—791no—
1059#125—791no—
1060#125—791no—
1061#125—791no—
1062#125—791no—
1063#125—791no—
1064#125—1581no—
1065#125—1581no—
1066#125—1581no—
1067#125—1581no—
1068#125—1581no—
1069#125C22×D7911yescharacteristic
1070#125C22×D7911yescharacteristic
1071#124—21no—
1072#124—791no—
1073#124—791no—
1074#124—791no—
1075#124—1581no—
1076#124—1581no—
1077#124—1581no—
1078#124—1581no—
1079#124—1581no—
1080#124—1581no—
1081#124—1581no—
1082#124C22×D7911yescharacteristic
1083#123—21no—
1084#123—1581no—
1085#123—1581no—
1086#123—1581no—
1087#123—1581no—
1088#123—1581no—
1089#123—1581no—
1090#123—1581no—
1091#123—1581no—
1092#123—1581no—
1093C22⋊Q8—21no—
1094C22⋊Q8—21no—
1095C22⋊Q8—21no—
1096C22⋊Q8—791no—
1097C22⋊Q8—791no—
1098C22⋊Q8—791no—
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—
1113C22⋊Q8—1581no—
1114C22⋊Q8—1581no—
1115C22⋊Q8—1581no—
1116C22⋊Q8—1581no—
1117C22⋊Q8—1581no—
1118C22⋊Q8—1581no—
1119C22⋊Q8—1581no—
1120C22⋊Q8C22×D7911yescharacteristic
1121#121—791no—
1122#121—791no—
1123#121—791no—
1124#121C22×D7911yescharacteristic
1125#120—1581no—
1126#120—1581no—
1127C4×Q8—791no—
1128C4×Q8—791no—
1129C4×Q8—791no—
1130C4×Q8—791no—
1131C4×Q8—791no—
1132C4×Q8—1581no—
1133C4×Q8—1581no—
1134C4×Q8—1581no—
1135C4×Q8—1581no—
1136C4×Q8—1581no—
1137C4×Q8—1581no—
1138C4×Q8—1581no—
1139C4×Q8—1581no—
1140C4×Q8—1581no—
1141C4×Q8—1581no—
1142C4×Q8—1581no—
1143C4×Q8—1581no—
1144C4×Q8C22×D7911yescharacteristic
1145C4×D4—791no—
1146C4×D4—791no—
1147C4×D4—791no—
1148C4×D4—791no—
1149C4×D4—791no—
1150C4×D4—791no—
1151C4×D4—791no—
1152C4×D4—791no—
1153C4×D4—791no—
1154C4×D4—1581no—
1155C4×D4—1581no—
1156C4×D4—1581no—
1157C4×D4—1581no—
1158C4×D4—1581no—
1159C4×D4—1581no—
1160C4×D4—1581no—
1161C4×D4—1581no—
1162C4×D4—1581no—
1163C4×D4—1581no—
1164C4×D4—1581no—
1165C4×D4—1581no—
1166C4×D4C22×D7911yescharacteristic
1167#117—791no—
1168#117—791no—
1169#117—791no—
1170#117—791no—
1171#117—791no—
1172#117—791no—
1173#117—791no—
1174#117—791no—
1175#117—791no—
1176#117—1581no—
1177#117—1581no—
1178#117—1581no—
1179#117—1581no—
1180#117—1581no—
1181#117—1581no—
1182#117C22×D7911yescharacteristic
1183#117C22×D7911yescharacteristic
1184C2×C4⋊C4—791no—
1185C2×C4⋊C4—791no—
1186C2×C4⋊C4—791no—
1187C2×C4⋊C4—791no—
1188C2×C4⋊C4—791no—
1189C2×C4⋊C4—1581no—
1190C2×C4⋊C4—1581no—
1191C2×C4⋊C4—1581no—
1192C2×C4⋊C4C22×D7911yescharacteristic
1193C2×C22⋊C4—1581no—
1194C2×C22⋊C4—1581no—
1195C2×C22⋊C4—1581no—
1196C2×C22⋊C4—1581no—
1197C2×C42—791no—
1198C2×C42—791no—
1199C2×C42—791no—
1200#107—791no—
1201#107—791no—
1202#107—791no—
1203#107—791no—
1204#107—791no—
1205#107—791no—
1206#107—791no—
1207#107—791no—
1208#107—791no—
1209#107—791no—
1210#107—791no—
1211#107—791no—
1212#107—791no—
1213#107—791no—
1214#107C22×D7911yescharacteristic
1215#107C22×D7911yescharacteristic
1216#106—791no—
1217#106—791no—
1218#106—791no—
1219#106—791no—
1220#106—791no—
1221#106—791no—
1222#106—791no—
1223#106—791no—
1224#106—791no—
1225#106—791no—
1226#106C22×D7911yescharacteristic
1227#106C22×D7911yescharacteristic
1228#106C22×D7911yescharacteristic
1229#106C22×D7911yescharacteristic
1230#106C22×D7911yescharacteristic
1231#106C22×D7911yescharacteristic
1232C4⋊C8—791no—
1233C4⋊C8—791no—
1234C4⋊C8—791no—
1235C4⋊C8—791no—
1236C4⋊C8—791no—
1237C4⋊C8—791no—
1238C4⋊C8C22×D7911yescharacteristic
1239C4⋊C8C22×D7911yescharacteristic
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#103—791no—
1250#103—791no—
1251#103—791no—
1252#103C22×D7911yescharacteristic
1253#103C22×D7911yescharacteristic
1254#103C22×D7911yescharacteristic
1255#103C22×D7911yescharacteristic
1256#102—791no—
1257#102—791no—
1258#102—791no—
1259#102—791no—
1260#102—791no—
1261#102—791no—
1262#102—791no—
1263#102—791no—
1264#102—791no—
1265#102—791no—
1266#102—791no—
1267#102—791no—
1268#102C22×D7911yescharacteristic
1269#102C22×D7911yescharacteristic
1270#102C22×D7911yescharacteristic
1271#102C22×D7911yescharacteristic
1272C22⋊C8—791no—
1273C22⋊C8—791no—
1274C22⋊C8—791no—
1275C22⋊C8—791no—
1276C22⋊C8—791no—
1277C22⋊C8—791no—
1278C22⋊C8C22×D7911yescharacteristic
1279C22⋊C8C22×D7911yescharacteristic
1280#97—791no—
1281#97—791no—
1282#97—791no—
1283#97—791no—
1284#97—791no—
1285#97C22×D7911yescharacteristic
1286C4×C8—791no—
1287C4×C8C22×D7911yescharacteristic
1288C24—1581no—
1289#41—1582no—
1290#41—1582no—
1291C2×Q8—21no—
1292C2×Q8—21no—
1293C2×Q8—21no—
1294C2×Q8—791no—
1295C2×Q8—791no—
1296C2×Q8—6322no—
1297C2×Q8—6322no—
1298C2×Q8—6322no—
1299C2×Q8—1581no—
1300C2×Q8—1581no—
1301C2×Q8—1581no—
1302C2×Q8—1581no—
1303C2×Q8—1581no—
1304C2×Q8—1581no—
1305C2×Q8—1581no—
1306C2×Q8—1582no—
1307C2×Q8—1582no—
1308C2×Q8—1581no—
1309C2×Q8—1581no—
1310C2×Q8—1581no—
1311C2×Q8C23×D7911yescharacteristic
1312C2×D4—21no—
1313C2×D4—791no—
1314C2×D4—791no—
1315C2×D4—791no—
1316C2×D4—791no—
1317C2×D4—1581no—
1318C2×D4—1582no—
1319C2×D4—1582no—
1320C2×D4—1581no—
1321C2×D4—1581no—
1322C2×D4—1581no—
1323C2×D4C23×D7911yescharacteristic
1324C22×C4—21no—
1325C22×C4—21no—
1326C22×C4—791no—
1327C22×C4—791no—
1328C22×C4—791no—
1329C22×C4—791no—
1330C22×C4—791no—
1331C22×C4—791no—
1332C22×C4—791no—
1333C22×C4—791no—
1334C22×C4—1581no—
1335C22×C4—1581no—
1336C22×C4—1581no—
1337C22×C4—1581no—
1338C22×C4—1581no—
1339C22×C4—1581no—
1340C22×C4—1581no—
1341C22×C4—1581no—
1342C22×C4—1581no—
1343C22×C4C23×D7911yescharacteristic
1344M16—1582no—
1345M16—1582no—
1346C2×C8—791no—
1347C2×C8—791no—
1348C2×C8—791no—
1349C2×C8—791no—
1350C2×C8—1582no—
1351C2×C8—1582no—
1352C2×C8C23×D7911yescharacteristic
1353C2×C8C23×D7911yescharacteristic
1354C2×C8C23×D7911yescharacteristic
1355C2×C8C23×D7911yescharacteristic
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—21no—
1366C4⋊C4—791no—
1367C4⋊C4—791no—
1368C4⋊C4—791no—
1369C4⋊C4—791no—
1370C4⋊C4—791no—
1371C4⋊C4—791no—
1372C4⋊C4—791no—
1373C4⋊C4—791no—
1374C4⋊C4—791no—
1375C4⋊C4—791no—
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⋊C4—1581no—
1399C4⋊C4—1581no—
1400C4⋊C4—1581no—
1401C4⋊C4—1581no—
1402C4⋊C4—1581no—
1403C4⋊C4—1581no—
1404C4⋊C4—1581no—
1405C4⋊C4—1581no—
1406C4⋊C4—1581no—
1407C4⋊C4—1581no—
1408C4⋊C4D4×D7911yescharacteristic
1409C4⋊C4D4×D7911yescharacteristic
1410C4⋊C4C23×D7911yescharacteristic
1411C4⋊C4C23×D7911yescharacteristic
1412C4⋊C4C23×D7911yescharacteristic
1413C4⋊C4C23×D7911yescharacteristic
1414C4⋊C4C23×D7911yescharacteristic
1415C4⋊C4C23×D7911yescharacteristic
1416C22⋊C4—21no—
1417C22⋊C4—21no—
1418C22⋊C4—21no—
1419C22⋊C4—21no—
1420C22⋊C4—21no—
1421C22⋊C4—21no—
1422C22⋊C4—791no—
1423C22⋊C4—791no—
1424C22⋊C4—791no—
1425C22⋊C4—791no—
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⋊C4—1581no—
1439C22⋊C4—1581no—
1440C22⋊C4—1581no—
1441C22⋊C4—1581no—
1442C22⋊C4—1581no—
1443C22⋊C4—1581no—
1444C22⋊C4—1581no—
1445C22⋊C4—1581no—
1446C22⋊C4—1581no—
1447C22⋊C4—1581no—
1448C22⋊C4D4×D7911yescharacteristic
1449C22⋊C4D4×D7911yescharacteristic
1450C42—21no—
1451C42—21no—
1452C42—791no—
1453C42—791no—
1454C42—791no—
1455C42—791no—
1456C42—791no—
1457C42—791no—
1458C42—791no—
1459C42—791no—
1460C42—1581no—
1461C42—1581no—
1462C42—1581no—
1463C42—1581no—
1464C42—1581no—
1465C42—1581no—
1466C42—1581no—
1467C42—1581no—
1468C42—1581no—
1469C42—1581no—
1470C42C23×D7911yescharacteristic
1471C42C23×D7911yescharacteristic
1472C23—21no—
1473C23—3162no—
1474C23—791no—
1475C23—791no—
1476C23—6321no—
1477C23—6321no—
1478C23—1581no—
1479C23C2×D4×D7911yescharacteristic
1480Q8—21no—
1481Q8—21no—
1482Q8—81no—
1483Q8—81no—
1484Q8—81no—
1485Q8—3162no—
1486Q8—3162no—
1487Q8—3162no—
1488Q8—3162no—
1489Q8—3162no—
1490Q8—6321no—
1491Q8—6321no—
1492Q8—6321no—
1493Q8—6321no—
1494Q8—6321no—
1495Q8—1582no—
1496Q8—1581no—
1497Q8—1581no—
1498D4—21no—
1499D4—21no—
1500D4—81no—
1501D4—3162no—
1502D4—6321no—
1503D4—6321no—
1504D4—6321no—
1505D4—1582no—
1506D4—1582no—
1507D4—1582no—
1508D4—1581no—
1509D4—1581no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—81no—
1520C2×C4—81no—
1521C2×C4—3161no—
1522C2×C4—3161no—
1523C2×C4—3161no—
1524C2×C4—3161no—
1525C2×C4—3162no—
1526C2×C4—3161no—
1527C2×C4—3161no—
1528C2×C4—791no—
1529C2×C4—792no—
1530C2×C4—792no—
1531C2×C4—791no—
1532C2×C4—791no—
1533C2×C4—791no—
1534C2×C4—791no—
1535C2×C4—791no—
1536C2×C4—6321no—
1537C2×C4—6321no—
1538C2×C4—6321no—
1539C2×C4—6321no—
1540C2×C4—6321no—
1541C2×C4—6321no—
1542C2×C4—6321no—
1543C2×C4—6321no—
1544C2×C4—1581no—
1545C2×C4—1581no—
1546C2×C4—1581no—
1547C2×C4—1581no—
1548C2×C4—1581no—
1549C2×C4—1581no—
1550C2×C4—1581no—
1551C2×C4—1581no—
1552C2×C4—1581no—
1553C2×C4C2×D4×D7911yescharacteristic
1554C2×C4C2×D4×D7911yescharacteristic
1555C2×C4C2×D4×D7911yescharacteristic
1556C2×C4C2×D4×D7911yescharacteristic
1557C2×C4C2×D4×D7911yescharacteristic
1558C2×C4C24×D7911yescharacteristic
1559C8—21no—
1560C8—21no—
1561C8—21no—
1562C8—21no—
1563C8—1581no—
1564C8—1581no—
1565C8—1581no—
1566C8—1581no—
1567C22—21no—
1568C22—21no—
1569C22—21no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—3161no—
1574C22—3161no—
1575C22—3161no—
1576C22—792no—
1577C22—1581no—
1578C22—1581no—
1579C22—1581no—
1580C22—1581no—
1581C22—1581no—
1582C22—12642no—
1583C22C22×D4×D7911yescharacteristic
1584C4—21no—
1585C4—21no—
1586C4—21no—
1587C4—21no—
1588C4—21no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—3161no—
1597C4—3161no—
1598C4—3161no—
1599C4—3161no—
1600C4—3161no—
1601C4—3161no—
1602C4—3161no—
1603C4—792no—
1604C4—1581no—
1605C4—1581no—
1606C4—1581no—
1607C4—1581no—
1608C4—1581no—
1609C42−1+4×D7911yescharacteristic
1610C42−1+4×D7911yescharacteristic
1611C2—41no—
1612C2—81no—
1613C2—3161no—
1614C2—6321no—
1615C2—1582no—
1616C2#536×D7911yescharacteristic
1617C2#2377817811yescharacteristic
1618C2#2377818211yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3244C2
socleC22×C79C23×D4
prime radical#19099129C22
hypercenter#3244D79
hypocenterC79#60885
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. #23777215C2semidirect
3. #23774701C2semidirect
4. #23774699C2semidirect
5. #23774692C2semidirect
6. #23774685C2semidirect
7. #23774683C2semidirect
8. #23774678C2semidirect
9. #23774676C2semidirect
10. #23774645C2semidirect
11. #23774644C2semidirect
12. #23774639C2semidirect
13. #23774638C2semidirect
14. #23774634C2semidirect
15. #23774628C2semidirect
16. #23774624C2semidirect
17. #23774620C2semidirect
18. #23773941C2semidirect
19. #23773921C2semidirect
20. #23773783C2semidirect
21. #489×D79C2semidirect
22. #23773364C2semidirect
23. #23773362C2semidirect
26. #23773241C2semidirect
27. #23773235C2semidirect
28. #23773228C2semidirect
29. #23773226C2semidirect
30. #23772048C2semidirect
31. C79×#3244C2semidirect
49. #19099193C22semidirect
50. #19099191C22semidirect
52. #19099190C22semidirect
59. #19099119C22semidirect
61. #19099116C22semidirect
62. C2×#14579160C22semidirect
64. C4⋊Q8×D79C22semidirect
75. #19098973C22semidirect
76. #19098972C22semidirect
77. #19098971C22semidirect
78. #19098971C22semidirect
79. #19098970C22semidirect
80. #19098970C22semidirect
81. #19098970C22semidirect
82. #19098970C22semidirect
83. #19098970C22semidirect
84. #19098970C22semidirect
85. #19098969C22semidirect
86. #19098968C22semidirect
87. #19098966C22semidirect
88. #19098959C22semidirect
103. #19098907C22semidirect
104. #19098906C22semidirect
105. #19098905C22semidirect
106. #19098904C22semidirect
107. #19098903C22semidirect
108. #19098902C22semidirect
109. #19098901C22semidirect
110. #19098899C22semidirect
111. #19098898C22semidirect
112. #19098897C22semidirect
113. #19098897C22semidirect
114. #19098895C22semidirect
115. #19098895C22semidirect
116. #19098891C22semidirect
131. #19098873C22semidirect
132. #19098872C22semidirect
133. #19098871C22semidirect
134. #19098870C22semidirect
135. #19098869C22semidirect
136. #19098868C22semidirect
137. #19098867C22semidirect
145. #19098859C22semidirect
146. #19098856C22semidirect
147. #19098856C22semidirect
148. #19098855C22semidirect
152. #19098848C22semidirect
153. #19098847C22semidirect
154. #19098847C22semidirect
159. #19098625C22semidirect
160. #19098624C22semidirect
161. #19098622C22semidirect
162. #19098619C22semidirect
163. #19098619C22semidirect
164. #19098617C22semidirect
165. #19098617C22semidirect
188. #544×C79C22semidirect
190. #501×C79C22semidirect
191. #498×C79C22semidirect
194. #485×C79C22semidirect
195. #483×C79C22semidirect
198. #479×C79C22semidirect
201. #475×C79C22semidirect
202. #433×C79C22semidirect
815. #3244D79semidirect
841. C79#60885semidirect
863. #544C2×D79semidirect
898. #501C2×D79semidirect
902. #498C2×D79semidirect
926. #485C2×D79semidirect
934. #483C2×D79semidirect
958. #479C2×D79semidirect
978. #475C2×D79semidirect
986. #433C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237772922
#237772152
#237747012
#237746992
#237746922
#237746852
#237746832
#237746782
#237746762
#237746452
#237746442
#237746392
#237746382
#237746342
#237746282
#237746242
#237746202
#237739412
#237739212
#237737832
#489×D792
#237733642
#237733622
#237733572
#237733552
#237732412
#237732352
#237732282
#237732262
#237720482
C79×#32442
#6088579