Finite Group Databasebeta

← #35185492

Subgroups — #35185492

Order 20224.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778037C211yesmaximal, characteristic, complemented
2#23777340C211yesmaximal, characteristic, complemented
3#23776356C211yesmaximal, characteristic, complemented
4#23776276C211yesmaximal, characteristic, complemented
5#23776164C211yesmaximal, characteristic, complemented
6#23776061C211yesmaximal, characteristic, complemented
7#23775988C211yesmaximal, characteristic, complemented
8#23775965C211yesmaximal, characteristic, complemented
9#23775964C211yesmaximal, characteristic, complemented
10#23775923C211yesmaximal, characteristic, complemented
11#23775843C211yesmaximal, characteristic, complemented
12#23775804C211yesmaximal, characteristic, complemented
13#23775624C211yesmaximal, characteristic, complemented
14#23775620C211yesmaximal, characteristic, complemented
15#23775606C211yesmaximal, characteristic, complemented
16#23775549C211yesmaximal, characteristic, complemented
17#23775534C211yesmaximal, characteristic, complemented
18#23775240C211yesmaximal, characteristic, complemented
19#23774858C211yesmaximal, characteristic, complemented
20#23774808C211yesmaximal, characteristic, complemented
21#23774796C211yesmaximal, characteristic, complemented
22#23774697C211yesmaximal, characteristic, complemented
23#23774658C211yesmaximal, characteristic, complemented
24#23774581C211yesmaximal, characteristic, complemented
25#23773674C211yesmaximal, characteristic, complemented
26#23773583C211yesmaximal, characteristic, complemented
27#23773252C211yesmaximal, characteristic, complemented
28#23773228C211yesmaximal, characteristic, complemented
29#23773197C211yesmaximal, characteristic, complemented
30#23772551C211yesmaximal, characteristic, complemented
31C79×#3105C211yesmaximal, characteristic, complemented
32#19099316—21no—
33#19099310—21no—
34#19099296C2211yescharacteristic
35#19099289C2211yescharacteristic, complemented
36#19099284C2211yescharacteristic
37#19099281—21no—
38#19099277C2211yescharacteristic, complemented
39#19099272C2211yescharacteristic
40#19099272C2211yescharacteristic, complemented
41#19099263C2211yescharacteristic
42#19099263C2211yescharacteristic, complemented
43#19099262—21no—
44#19099260C2211yescharacteristic
45#19099254C2211yescharacteristic, complemented
46#19099248C2211yescharacteristic
47#19099247C2211yescharacteristic, complemented
48#19099246—21no—
49#19099242—21no—
50#19099239—21no—
51#19099214C2211yescharacteristic
52#19099208C2211yescharacteristic
53#19099207C2211yescharacteristic
54#19099203—21no—
55D4×C22⋊D79C2211yescharacteristic
56#19099193C2211yescharacteristic, complemented
57#19099193C2211yescharacteristic, complemented
58#19099182C2211yescharacteristic, complemented
59#19099182C2211yescharacteristic, complemented
60#19099179—21no—
61#19099178—21no—
62#19099178C2211yescharacteristic
63#19099170—21no—
64#19099164C2211yescharacteristic
65#19099155—21no—
66#19099155—21no—
67#19099146—21no—
68#19099120C2211yescharacteristic, complemented
69#19099097C2211yescharacteristic
70#19099097C2211yescharacteristic
71#19099074—21no—
72C2×#14579144—21no—
73#19099042C2211yescharacteristic
74#19099035C2211yescharacteristic
75#19098971C2211yescharacteristic, complemented
76#19098971C2211yescharacteristic, complemented
77#19098965C2211yescharacteristic, complemented
78#19098965C2211yescharacteristic, complemented
79#19098963C2211yescharacteristic, complemented
80#19098960C2211yescharacteristic, complemented
81#19098926C2211yescharacteristic
82#19098921C2211yescharacteristic, complemented
83#19098918C2211yescharacteristic, complemented
84#19098918C2211yescharacteristic, complemented
85#19098916C2211yescharacteristic, complemented
86#19098908C2211yescharacteristic
87#19098906C2211yescharacteristic, complemented
88#19098905C2211yescharacteristic, complemented
89#19098905C2211yescharacteristic, complemented
90#19098902C2211yescharacteristic, complemented
91#19098895C2211yescharacteristic, complemented
92#19098892C2211yescharacteristic, complemented
93#19098889C2211yescharacteristic, complemented
94#19098888C2211yescharacteristic
95#19098888C2211yescharacteristic
96#19098886C2211yescharacteristic
97#19098886C2211yescharacteristic, complemented
98#19098886C2211yescharacteristic, complemented
99#19098880C2211yescharacteristic
100#19098880C2211yescharacteristic, complemented
101#19098880C2211yescharacteristic, complemented
102#19098878C2211yescharacteristic, complemented
103#19098873C2211yescharacteristic, complemented
104#19098872C2211yescharacteristic, complemented
105#19098870C2211yescharacteristic, complemented
106#19098867C2211yescharacteristic, complemented
107#19098866C2211yescharacteristic, complemented
108#19098863C2211yescharacteristic
109#19098863C2211yescharacteristic
110#19098863C2211yescharacteristic, complemented
111#19098863C2211yescharacteristic, complemented
112#19098863C2211yescharacteristic, complemented
113#19098861C2211yescharacteristic
114#19098861C2211yescharacteristic
115#19098861C2211yescharacteristic, complemented
116#19098860C2211yescharacteristic, complemented
117#19098859C2211yescharacteristic, complemented
118#19098857C2211yescharacteristic, complemented
119#19098856C2211yescharacteristic, complemented
120#19098854C2211yescharacteristic, complemented
121#19098853C2211yescharacteristic
122#19098853C2211yescharacteristic, complemented
123#19098852C2211yescharacteristic, complemented
124#19098849C2211yescharacteristic, complemented
125#19098844C2211yescharacteristic, complemented
126#19098843C2211yescharacteristic
127#19098843C2211yescharacteristic, complemented
128#19098841C2211yescharacteristic
129#19098841C2211yescharacteristic
130#19098841C2211yescharacteristic, complemented
131#19098819C2211yescharacteristic, complemented
132#19098815C2211yescharacteristic, complemented
133#19098814C2211yescharacteristic
134#19098811C2211yescharacteristic
135#19098808C2211yescharacteristic, complemented
136#19098807C2211yescharacteristic, complemented
137#19098806C2211yescharacteristic
138#19098806C2211yescharacteristic, complemented
139#19098803C2211yescharacteristic, complemented
140#19098796C2211yescharacteristic
141#19098796C2211yescharacteristic, complemented
142#19098795C2211yescharacteristic, complemented
143#19098785C2211yescharacteristic, complemented
144#19098783C2211yescharacteristic, complemented
145#19098782C2211yescharacteristic, complemented
146#19098778C2211yescharacteristic, complemented
147#19098776C2211yescharacteristic, complemented
148#19098775C2211yescharacteristic, complemented
149#19098761C2211yescharacteristic
150#19098756C2211yescharacteristic
151#19098722C2211yescharacteristic
152#19098712C2211yescharacteristic
153#19098705C2211yescharacteristic
154#19098695C2211yescharacteristic
155#19098693C2211yescharacteristic, complemented
156C8×Dic158C2211yescharacteristic, complemented
157#19098675C2211yescharacteristic
158#19098675C2211yescharacteristic
159#19098667C2211yescharacteristic, complemented
160#19098666C2211yescharacteristic, complemented
161#19098654C2211yescharacteristic, complemented
162SD16×Dic79C2211yescharacteristic
163SD16×Dic79C2211yescharacteristic
164#19098643C2211yescharacteristic, complemented
165#19098642C2211yescharacteristic, complemented
166#19098638C2211yescharacteristic
167#19098638C2211yescharacteristic, complemented
168#19098637C2211yescharacteristic
169#19098637C2211yescharacteristic, complemented
170C8×D316C2211yescharacteristic, complemented
171#19098623C2211yescharacteristic, complemented
172#19098623C2211yescharacteristic, complemented
173#19098603C2211yescharacteristic, complemented
174#19098603C2211yescharacteristic, complemented
175#19098602C2211yescharacteristic, complemented
176#19098602C2211yescharacteristic, complemented
177#19098600C2211yescharacteristic, complemented
178#107×D79C2211yescharacteristic, complemented
179#19098588C2211yescharacteristic, complemented
180#19098588C2211yescharacteristic, complemented
181#19098587C2211yescharacteristic, complemented
182#19098568C2211yescharacteristic
183#19098568C2211yescharacteristic
184#19098566C2211yescharacteristic
185#19098561C2211yescharacteristic
186#19098556C2211yescharacteristic
187#102×D79C2211yescharacteristic
188#529×C79C2211yescharacteristic, complemented
189C2×C4×D4×C79C2211yescharacteristic
190#484×C79C2211yescharacteristic, complemented
191#481×C79C2211yescharacteristic, complemented
192#478×C79C2211yescharacteristic
193#478×C79C2211yescharacteristic, complemented
194#463×C79C2211yescharacteristic
195#463×C79C2211yescharacteristic, complemented
196#450×C79C2211yescharacteristic
197#447×C79C2211yescharacteristic
198C4×SD16×C79C2211yescharacteristic
199C4×SD16×C79C2211yescharacteristic, complemented
200C4×D8×C79C2211yescharacteristic
201C4×D8×C79C2211yescharacteristic, complemented
202#431×C79C2211yescharacteristic, complemented
203C2×#11929624—21no—
204C2×#11929623C2311yescharacteristic
205C22×C22⋊D79—21no—
206C2×D4×D79C2311yescharacteristic
207C2×#11929614C2311yescharacteristic
208C2×#11929612C2311yescharacteristic
209C2×#11929611C2311yescharacteristic
210C2×#11929609C2311yescharacteristic
211C2×#11929608C2311yescharacteristic
212C2×#11929608C2311yescharacteristic
213C2×#11929607C2311yescharacteristic
214C2×#11929607C2311yescharacteristic
215C2×C8×D79C2311yescharacteristic
216C2×C8×D79C2311yescharacteristic
217#14579161C2311yescharacteristic
218#14579161C2311yescharacteristic
219#14579160—21no—
220#14579160—21no—
221#14579160—21no—
222#14579160C2311yescharacteristic
223#14579160C2311yescharacteristic
224#14579160C2311yescharacteristic
225#14579157C2311yescharacteristic
226#14579156—21no—
227#14579156—21no—
228#14579155—21no—
229#14579155—21no—
230#14579155D411yescharacteristic
231#14579155D411yescharacteristic
232#14579154—21no—
233#14579154—21no—
234#14579154—21no—
235#14579154—21no—
236#14579154—21no—
237#14579154—21no—
238#14579154—21no—
239#14579154—21no—
240#14579153—21no—
241#14579153D411yescharacteristic
242#14579153C2311yescharacteristic
243#14579153C2311yescharacteristic
244#14579153C2311yescharacteristic
245#14579152—21no—
246#14579152C2311yescharacteristic
247#14579152C2311yescharacteristic
248#14579152C2311yescharacteristic
249#14579151—21no—
250#14579151—21no—
251#14579151—21no—
252#14579151—21no—
253#14579151—21no—
254#14579149D411yescharacteristic
255#14579149C2311yescharacteristic
256#14579148—21no—
257#14579148C2311yescharacteristic
258#14579147—21no—
259#14579147—21no—
260#14579147—21no—
261#14579147—21no—
262#14579147—21no—
263#14579147—21no—
264#14579146—21no—
265#14579146—21no—
266#14579145—21no—
267#14579145—21no—
268#14579145—21no—
269#14579144—21no—
270#14579144—21no—
271#14579144—21no—
272#14579144—21no—
273#14579144—21no—
274#14579144—21no—
275#14579144—21no—
276#14579144—21no—
277#14579144D411yescharacteristic
278#14579144D411yescharacteristic
279#14579143—21no—
280#14579143—21no—
281#14579143—21no—
282#14579142—21no—
283#14579142—21no—
284#14579141—21no—
285#14579141—21no—
286#14579141C2311yescharacteristic
287#14579140—21no—
288#14579140—21no—
289#14579140—21no—
290#14579140—21no—
291#14579140—21no—
292#14579140D411yescharacteristic
293#14579140C2311yescharacteristic
294#14579139—21no—
295#14579139—21no—
296#14579139—21no—
297#14579138—21no—
298#14579138—21no—
299#14579138—21no—
300#14579138—21no—
301#14579138—21no—
302#14579138—21no—
303#14579137C2311yescharacteristic
304#14579137C2311yescharacteristic
305#14579136C2311yescharacteristic
306#14579135—21no—
307#14579135—21no—
308#14579135D411yescharacteristic
309#14579135C2311yescharacteristic
310#14579134—21no—
311#14579134—21no—
312#14579134—21no—
313#14579133—21no—
314#14579133—21no—
315#14579133—21no—
316#14579132—21no—
317#14579132C2311yescharacteristic
318#14579132C2311yescharacteristic
319#14579132C2311yescharacteristic
320#14579132C2311yescharacteristic
321#14579131—21no—
322#14579130—21no—
323#14579130—21no—
324#14579129—21no—
325Q8×Dic79C2311yescharacteristic
326Q8×Dic79C2311yescharacteristic
327C4×Dic158—21no—
328C4×Dic158—21no—
329C4×Dic158—21no—
330C4×Dic158C2311yescharacteristic
331C4×Dic158C2311yescharacteristic
332#14579126—21no—
333#14579126C2311yescharacteristic
334C4×D316C2311yescharacteristic
335C4×D316C2311yescharacteristic
336D4×Dic79C2311yescharacteristic
337D4×Dic79C2311yescharacteristic
338D4×Dic79C2311yescharacteristic
339D4×Dic79C2311yescharacteristic
340#14579123C2311yescharacteristic
341C4×C22⋊D79—21no—
342C4×C22⋊D79—21no—
343C4×C22⋊D79—21no—
344C4×C22⋊D79—21no—
345C4×C22⋊D79—21no—
346C4×C22⋊D79—21no—
347C4×C22⋊D79C2311yescharacteristic
348C4×C22⋊D79C2311yescharacteristic
349(C22⋊D79)⋊C4—21no—
350(C22⋊D79)⋊C4—21no—
351(C22⋊D79)⋊C4—21no—
352#14579120—21no—
353#14579120C2311yescharacteristic
354#14579120C2311yescharacteristic
355#14579119—21no—
356#14579119C2311yescharacteristic
357#14579119C2311yescharacteristic
358#14579119C2311yescharacteristic
359#14579118—21no—
360#14579118—21no—
361#14579118C2311yescharacteristic
362#14579118C2311yescharacteristic
363#14579117—21no—
364#14579117—21no—
365C2×Dic79⋊C4—21no—
366C2×Dic79⋊C4—21no—
367C2×Dic79⋊C4—21no—
368C4⋊C4×D79C2311yescharacteristic
369C4⋊C4×D79C2311yescharacteristic
370C4⋊C4×D79C2311yescharacteristic
371C2×C22⋊Dic79—21no—
372C2×(C2×D79)⋊C4—21no—
373C2×(C2×D79)⋊C4—21no—
374C22⋊C4×D79—21no—
375#14579095C2311yescharacteristic
376#14579095C2311yescharacteristic
377#14579095C2311yescharacteristic
378#14579095C2311yescharacteristic
379#14579094C2311yescharacteristic
380#14579094C2311yescharacteristic
381#14579094C2311yescharacteristic
382#14579094C2311yescharacteristic
383#14579094C2311yescharacteristic
384#14579094C2311yescharacteristic
385#14579093C2311yescharacteristic
386#14579093C2311yescharacteristic
387#14579093C2311yescharacteristic
388#14579093C2311yescharacteristic
389#14579092C2311yescharacteristic
390#14579092C2311yescharacteristic
391#14579092C2311yescharacteristic
392#14579092C2311yescharacteristic
393#14579092C2311yescharacteristic
394#14579092C2311yescharacteristic
395C4⋊(C79⋊C8)C2311yescharacteristic
396C4⋊(C79⋊C8)C2311yescharacteristic
397C4⋊(C79⋊C8)C2311yescharacteristic
398C4⋊(C79⋊C8)C2311yescharacteristic
399Dic79⋊C8C2311yescharacteristic
400Dic79⋊C8C2311yescharacteristic
401Dic79⋊C8C2311yescharacteristic
402Dic79⋊C8C2311yescharacteristic
403#14579086C2311yescharacteristic
404#14579086C2311yescharacteristic
405#14579086C2311yescharacteristic
406#14579086C2311yescharacteristic
407#14579085C2311yescharacteristic
408#14579085C2311yescharacteristic
409#14579084C2311yescharacteristic
410#14579084C2311yescharacteristic
411#14579083C2311yescharacteristic
412#14579083C2311yescharacteristic
413#14579083C2311yescharacteristic
414#14579083C2311yescharacteristic
415#14579082C2311yescharacteristic
416#14579082C2311yescharacteristic
417#14579082C2311yescharacteristic
418#14579082C2311yescharacteristic
419#14579082C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579081C2311yescharacteristic
426#14579081C2311yescharacteristic
427(C2×D79)⋊C8C2311yescharacteristic
428(C2×D79)⋊C8C2311yescharacteristic
429(C2×D79)⋊C8C2311yescharacteristic
430(C2×D79)⋊C8C2311yescharacteristic
431#14579071C2311yescharacteristic
432#14579071C2311yescharacteristic
433C8×Dic79C2311yescharacteristic
434C8×Dic79C2311yescharacteristic
435C22×D4×C79C2311yescharacteristic
436C23×C4×C79—21no—
437C2×SD16×C79C2311yescharacteristic
438C2×SD16×C79C2311yescharacteristic
439C2×D8×C79C2311yescharacteristic
440C2×D8×C79C2311yescharacteristic
441#126×C79—21no—
442#125×C79C2311yescharacteristic
443#124×C79C2311yescharacteristic
444#123×C79—21no—
445C22⋊Q8×C79C2311yescharacteristic
446#121×C79C2311yescharacteristic
447C4×Q8×C79C2311yescharacteristic
448C4×D4×C79—21no—
449C4×D4×C79—21no—
450C4×D4×C79—21no—
451C4×D4×C79C2311yescharacteristic
452C4×D4×C79C2311yescharacteristic
453C4×D4×C79C2311yescharacteristic
454C4×D4×C79C2311yescharacteristic
455C4×D4×C79C2311yescharacteristic
456#117×C79—21no—
457C2×C4⋊C4×C79C2311yescharacteristic
458C2×C22⋊C4×C79—21no—
459C2×C42×C79C2311yescharacteristic
460#107×C79C2311yescharacteristic
461#107×C79C2311yescharacteristic
462#106×C79C2311yescharacteristic
463#106×C79C2311yescharacteristic
464C4⋊C8×C79C2311yescharacteristic
465C4⋊C8×C79C2311yescharacteristic
466#103×C79C2311yescharacteristic
467#103×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
476C4×C8×C79C2311yescharacteristic
477C4×C8×C79C2311yescharacteristic
478C23×D79—21no—
479#11929624—82no—
480#11929623—22no—
481#11929623—41no—
482C2×Dic158—21no—
483C2×Dic158—21no—
484C2×Dic158—21no—
485C2×Dic158—21no—
486C2×Dic158—21no—
487C2×Dic158C2×D411yescharacteristic
488C2×Dic158C2411yescharacteristic
489C2×D316—21no—
490C2×D316C2×D411yescharacteristic
491C2×D316C2411yescharacteristic
492C2×C22⋊D79—21no—
493C2×C22⋊D79—21no—
494C2×C22⋊D79—21no—
495C2×C22⋊D79—21no—
496C2×C22⋊D79—21no—
497C2×C22⋊D79—21no—
498C2×C22⋊D79—21no—
499C2×C22⋊D79—21no—
500C2×C22⋊D79—21no—
501C2×C22⋊D79—82no—
502C2×C22⋊D79C2×D411yescharacteristic
503C2×C22⋊D79C2×D411yescharacteristic
504D4×D79—22no—
505D4×D79—41no—
506C22×Dic79—21no—
507C22×Dic79—21no—
508C22×Dic79—21no—
509C22×Dic79—21no—
510C22×Dic79—21no—
511C2×C4×D79—21no—
512C2×C4×D79—21no—
513C2×C4×D79—21no—
514C2×C4×D79—21no—
515C2×C4×D79—21no—
516C2×C4×D79C2411yescharacteristic
517C2×C4×D79C2411yescharacteristic
518#11929614—41no—
519#11929612—41no—
520#11929611—41no—
521#11929609—41no—
522#11929608—41no—
523#11929608—41no—
524#11929607—41no—
525#11929607—41no—
526C2×C79⋊C8C2411yescharacteristic
527C2×C79⋊C8C2411yescharacteristic
528C2×C79⋊C8C2411yescharacteristic
529C2×C79⋊C8C2411yescharacteristic
530C8×D79—41no—
531C8×D79—41no—
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⋊Dic79C2×D411yescharacteristic
541C4⋊Dic79C2×D411yescharacteristic
542C4⋊Dic79C2411yescharacteristic
543C4⋊Dic79C2411yescharacteristic
544C4⋊Dic79C2411yescharacteristic
545C4⋊Dic79C2411yescharacteristic
546C4⋊Dic79C2411yescharacteristic
547C4⋊Dic79C2411yescharacteristic
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
572Dic79⋊C4C2×D411yescharacteristic
573Dic79⋊C4C2×D411yescharacteristic
574Dic79⋊C4C2×D411yescharacteristic
575Dic79⋊C4C2×D411yescharacteristic
576C22⋊Dic79—21no—
577C22⋊Dic79—21no—
578C22⋊Dic79—21no—
579C22⋊Dic79—21no—
580C22⋊Dic79—21no—
581C22⋊Dic79—21no—
582C22⋊Dic79—21no—
583C22⋊Dic79—21no—
584C22⋊Dic79—21no—
585C22⋊Dic79—21no—
586C22⋊Dic79—21no—
587C22⋊Dic79—21no—
588C22⋊Dic79—21no—
589C22⋊Dic79C2×D411yescharacteristic
590C22⋊Dic79C2×D411yescharacteristic
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)⋊C4—21no—
598(C2×D79)⋊C4—21no—
599(C2×D79)⋊C4—21no—
600(C2×D79)⋊C4—21no—
601(C2×D79)⋊C4—21no—
602(C2×D79)⋊C4—21no—
603(C2×D79)⋊C4C2×D411yescharacteristic
604(C2×D79)⋊C4C2×D411yescharacteristic
605(C2×D79)⋊C4C2×D411yescharacteristic
606(C2×D79)⋊C4C2×D411yescharacteristic
607(C2×D79)⋊C4C2×D411yescharacteristic
608(C2×D79)⋊C4C2×D411yescharacteristic
609(C2×D79)⋊C4C2×D411yescharacteristic
610(C2×D79)⋊C4C2×D411yescharacteristic
611C4×Dic79—21no—
612C4×Dic79—21no—
613C4×Dic79—21no—
614C4×Dic79—21no—
615C4×Dic79—21no—
616C4×Dic79—21no—
617C4×Dic79—21no—
618C4×Dic79—21no—
619C4×Dic79—21no—
620C4×Dic79C2411yescharacteristic
621C4×Dic79C2411yescharacteristic
622C24×C79—21no—
623C2×Q8×C79C2411yescharacteristic
624C2×D4×C79—22no—
625C2×D4×C79—21no—
626C2×D4×C79—21no—
627C2×D4×C79—41no—
628C2×D4×C79C2411yescharacteristic
629C2×D4×C79C2411yescharacteristic
630C2×D4×C79C2411yescharacteristic
631C22×C4×C79—21no—
632C22×C4×C79—21no—
633C22×C4×C79—21no—
634C22×C4×C79—21no—
635C22×C4×C79—21no—
636C22×C4×C79—21no—
637C22×C4×C79—82no—
638C22×C4×C79C2×D411yescharacteristic
639C22×C4×C79C2×D411yescharacteristic
640C22×C4×C79C2411yescharacteristic
641SD16×C79—22no—
642SD16×C79—41no—
643D8×C79—22no—
644D8×C79—41no—
645C2×C8×C79C2411yescharacteristic
646C2×C8×C79C2411yescharacteristic
647C2×C8×C79C2411yescharacteristic
648C2×C8×C79C2411yescharacteristic
649C4⋊C4×C79—21no—
650C4⋊C4×C79—21no—
651C4⋊C4×C79—21no—
652C4⋊C4×C79—21no—
653C4⋊C4×C79—21no—
654C4⋊C4×C79C2411yescharacteristic
655C4⋊C4×C79C2411yescharacteristic
656C4⋊C4×C79C2411yescharacteristic
657C4⋊C4×C79C2411yescharacteristic
658C22⋊C4×C79—21no—
659C22⋊C4×C79—21no—
660C22⋊C4×C79—21no—
661C22⋊C4×C79—21no—
662C22⋊C4×C79—21no—
663C22⋊C4×C79—21no—
664C22⋊C4×C79—21no—
665C22⋊C4×C79—21no—
666C22⋊C4×C79—21no—
667C42×C79—21no—
668C42×C79C2×D411yescharacteristic
669C42×C79C2×D411yescharacteristic
670C42×C79C2411yescharacteristic
671C42×C79C2411yescharacteristic
672C23×C79—21no—
673C23×C79—21no—
674C23×C79—21no—
675C23×C79—42no—
676C23×C79—42no—
677C23×C79—81no—
678C23×C79C22×D411yescharacteristic
679C22×D79—21no—
680C22×D79—42no—
681C22×D79—81no—
682C22×D79—81no—
683C22×D79C22×D411yescharacteristic
684C22×D79C22×D411yescharacteristic
685Q8×C79—21no—
686Q8×C79—21no—
687D4×C79—21no—
688D4×C79—21no—
689D4×C79—21no—
690D4×C79—21no—
691D4×C79—21no—
692D4×C79—42no—
693D4×C79—81no—
694D4×C792−1+412yes—
695C2×C4×C79—21no—
696C2×C4×C79—21no—
697C2×C4×C79—21no—
698C2×C4×C79—21no—
699C2×C4×C79—21no—
700C2×C4×C79—21no—
701C2×C4×C79—21no—
702C2×C4×C79—41no—
703C2×C4×C79—41no—
704C2×C4×C79—42no—
705C2×C4×C79—81no—
706C2×C4×C79—81no—
707C2×C4×C79—81no—
708C2×C4×C79—81no—
709C2×C4×C79—81no—
710C2×C4×C79C22×D411yescharacteristic
711C2×C4×C79C22×D411yescharacteristic
712C2×C4×C79C22×D411yescharacteristic
713C2×C4×C79C22×D411yescharacteristic
714C2×C4×C79C22×D411yescharacteristic
715C2×C4×C79C2511yescharacteristic
716C22⋊D79—41no—
717C22⋊D79—41no—
718C22⋊D79—42no—
719C22⋊D79—42no—
720C22⋊D79—42no—
721C22⋊D79—81no—
722C22⋊D79—81no—
723C22⋊D79—81no—
724C22⋊D79—81no—
725C22⋊D79—81no—
726C22⋊D79—81no—
727C2×Dic79—21no—
728C2×Dic79—21no—
729C2×Dic79—21no—
730C2×Dic79—21no—
731C2×Dic79—21no—
732C2×Dic79—21no—
733C2×Dic79—21no—
734C2×Dic79—42no—
735C2×Dic79—81no—
736C2×Dic79—81no—
737C2×Dic79—81no—
738C2×Dic79—81no—
739C2×Dic79C22×D411yescharacteristic
740C2×Dic79C22×D411yescharacteristic
741C2×Dic79C22×D411yescharacteristic
742C2×Dic79C22×D411yescharacteristic
743C2×Dic79C22×D411yescharacteristic
744C2×Dic79C22×D411yescharacteristic
745D316—21no—
746D316—21no—
747D316—41no—
748D316—81no—
749C4×D79—21no—
750C4×D79—21no—
751C4×D79—21no—
752C4×D79—21no—
753C4×D79—81no—
754C4×D79—81no—
755C4×D79—81no—
756C4×D79—81no—
757C4×D79—81no—
758Dic158—21no—
759Dic158—21no—
760Dic158—41no—
761Dic158—81no—
762Dic158—81no—
763Dic158—81no—
764Dic158—81no—
765Dic158—81no—
766C8×C79—21no—
767C8×C79—21no—
768C8×C79—21no—
769C8×C79—21no—
770C79⋊C8—21no—
771C79⋊C8—21no—
772C79⋊C8—21no—
773C79⋊C8—21no—
774C22×C79—21no—
775C22×C79—21no—
776C22×C79—22no—
777C22×C79—21no—
778C22×C79—41no—
779C22×C79—41no—
780C22×C79—41no—
781C22×C79—41no—
782C22×C79—41no—
783C22×C79—41no—
784C22×C79—41no—
785C22×C79—41no—
786C22×C79—84no—
787C22×C79C23×D411yescharacteristic
788C2×D79—21no—
789C2×D79—21no—
790C2×D79—21no—
791C2×D79—21no—
792C2×D79—21no—
793C2×D79—21no—
794C2×D79—41no—
795C2×D79—41no—
796C2×D79—41no—
797C2×D79—162no—
798C4×C79—21no—
799C4×C79—21no—
800C4×C79—21no—
801C4×C79—21no—
802C4×C79—21no—
803C4×C79—41no—
804C4×C79—41no—
805C4×C79—41no—
806C4×C79—41no—
807C4×C79—41no—
808C4×C79C2×2−1+411yescharacteristic
809C4×C79#58511yescharacteristic
810Dic79—21no—
811Dic79—21no—
812Dic79—21no—
813Dic79—21no—
814Dic79—21no—
815Dic79—21no—
816Dic79—41no—
817Dic79—41no—
818Dic79—41no—
819Dic79—41no—
820Dic79—41no—
821Dic79—41no—
822Dic79—41no—
823#62175—791nomaximal, Sylow
824C2×C79—42no—
825C2×C79—41no—
826C2×C79—81no—
827C2×C79—81no—
828C2×C79#348911yescharacteristic
829C2×C79#358411yescharacteristic
830C2×C79#358511yescharacteristic
831D79—41no—
832D79—41no—
833D79—81no—
834#3565—791no—
835#3513—791no—
836#3389—791no—
837#3381—791no—
838#3371—791no—
839#3361—791no—
840#3354—791no—
841#3351—791no—
842#3351—791no—
843#3349—791no—
844#3343—791no—
845#3339—791no—
846#3324—791no—
847#3323—791no—
848#3322—791no—
849#3319—791no—
850#3318—791no—
851#3296—791no—
852#3262—791no—
853#3257—791no—
854#3256—791no—
855#3244—791no—
856#3241—791no—
857#3233—791no—
858#3125—791no—
859#3118—791no—
860#3105D7911yescharacteristic, complemented
861#3083—791no—
862#3081—791no—
863#3077—791no—
864#2993—791no—
865C79#6217511yescharacteristic, complemented, Sylow
866#563—1581no—
867#562—1581no—
868#559—791no—
869#557—791no—
870#556—791no—
871#556—1581no—
872#555—791no—
873#554—791no—
874#554—791no—
875#553—791no—
876#553—791no—
877#553—791no—
878#553—1581no—
879#552—791no—
880#552—791no—
881#552—791no—
882#552—1581no—
883#551—1581no—
884#551—1581no—
885#547—791no—
886#546—791no—
887#546—791no—
888#546—1581no—
889D42—791no—
890#544—791no—
891#544—791no—
892#542—791no—
893#542—791no—
894#542—791no—
895#542—1581no—
896#542—1581no—
897#541—1581no—
898#540—791no—
899#539—1581no—
900#539—1581no—
901#538—1581no—
902#533—791no—
903#529—791no—
904#529—791no—
905#529C2×D7911yescharacteristic, complemented
906#525—1581no—
907C2×#123—1581no—
908#520—791no—
909#518—791no—
910C2×C4×D4C2×D7911yescharacteristic
911#501—791no—
912#501—791no—
913#499—791no—
914#499—791no—
915#499—791no—
916#498—791no—
917#490—791no—
918#489—791no—
919#488—791no—
920#488—791no—
921#488—791no—
922#486—791no—
923#485—791no—
924#485—791no—
925#485—791no—
926#485—791no—
927#484C2×D7911yescharacteristic, complemented
928#483—791no—
929#483—791no—
930#482—791no—
931#482—791no—
932#482—791no—
933#482—791no—
934#482—791no—
935#482—791no—
936#481—791no—
937#481—791no—
938#481—791no—
939#481C2×D7911yescharacteristic, complemented
940#480—791no—
941#479—791no—
942#479—791no—
943#479—791no—
944#479—791no—
945#478—791no—
946#478—791no—
947#478—791no—
948#478—791no—
949#478—791no—
950#478—791no—
951#478—791no—
952#478—791no—
953#478—791no—
954#478—791no—
955#478C2×D7911yescharacteristic
956#478C2×D7911yescharacteristic, complemented
957#477—791no—
958#477—791no—
959#477—791no—
960#476—791no—
961#476—791no—
962#476—791no—
963#476—791no—
964#475—791no—
965#474—791no—
966#474—791no—
967#474—791no—
968#474—791no—
969#474—791no—
970#474—791no—
971#470—791no—
972#469—791no—
973#469—791no—
974#468—791no—
975#468—791no—
976#468—791no—
977#468—791no—
978#468—791no—
979#467—791no—
980#466—791no—
981#466—791no—
982#465—791no—
983#464—791no—
984#464—791no—
985#464—791no—
986#463—791no—
987#463—791no—
988#463—791no—
989#463C2×D7911yescharacteristic
990#463C2×D7911yescharacteristic, complemented
991#460—791no—
992#459—791no—
993#452—791no—
994#450—791no—
995#450C2×D7911yescharacteristic
996#449—791no—
997#447—791no—
998#447C2×D7911yescharacteristic
999#446—791no—
1000C8×Q8—791no—
1001#442—791no—
1002#442—791no—
1003#441—791no—
1004#440—791no—
1005C4×SD16—791no—
1006C4×SD16—791no—
1007C4×SD16—791no—
1008C4×SD16C2×D7911yescharacteristic
1009C4×SD16C2×D7911yescharacteristic, complemented
1010C4×D8—791no—
1011C4×D8C2×D7911yescharacteristic
1012C4×D8C2×D7911yescharacteristic, complemented
1013#436—791no—
1014#436—791no—
1015#436—791no—
1016#435—791no—
1017#435—791no—
1018C8×D4—791no—
1019#433—791no—
1020#433—791no—
1021#431C2×D7911yescharacteristic, complemented
1022#428—791no—
1023#428—791no—
1024#428—791no—
1025#428—791no—
1026#427—791no—
1027C2×#107—791no—
1028#424—791no—
1029#424—791no—
1030#423—791no—
1031#418—791no—
1032#418—791no—
1033#418—791no—
1034#417—791no—
1035#416—791no—
1036C2×#102—791no—
1037C2×#41—791no—
1038C2×#41—1581no—
1039C22×D4—791no—
1040C22×D4—1581no—
1041C22×D4C22×D7911yescharacteristic
1042C23×C4—21no—
1043C2×Q16—791no—
1044C2×SD16—791no—
1045C2×SD16—791no—
1046C2×SD16C22×D7911yescharacteristic
1047C2×SD16C22×D7911yescharacteristic
1048C2×D8—791no—
1049C2×D8C22×D7911yescharacteristic
1050C2×D8C22×D7911yescharacteristic
1051C2×M16—791no—
1052C2×M16—791no—
1053C2×M16—791no—
1054C2×M16—791no—
1055C22×C8—791no—
1056C22×C8—791no—
1057C4⋊Q8—791no—
1058C4⋊Q8—791no—
1059C4⋊Q8—791no—
1060C4⋊Q8—791no—
1061C4⋊Q8—791no—
1062C4⋊Q8—1581no—
1063C4⋊Q8—1581no—
1064C4⋊Q8—1581no—
1065#127—791no—
1066#126—21no—
1067#126—791no—
1068#126—791no—
1069#126—1581no—
1070#126—1581no—
1071#126—1581no—
1072#126—1581no—
1073#126—1581no—
1074#126—1581no—
1075#126—1581no—
1076#126—1581no—
1077#126—1581no—
1078#126—1581no—
1079#126—1581no—
1080#126—1581no—
1081#125—791no—
1082#125—791no—
1083#125—791no—
1084#125—791no—
1085#125—791no—
1086#125—791no—
1087#125—791no—
1088#125—1581no—
1089#125—1581no—
1090#125—1581no—
1091#125—1581no—
1092#125—1581no—
1093#125—1581no—
1094#125—1581no—
1095#125C22×D7911yescharacteristic
1096#124—791no—
1097#124—791no—
1098#124—791no—
1099#124—1581no—
1100#124—1581no—
1101#124—1581no—
1102#124—1581no—
1103#124—1581no—
1104#124—1581no—
1105#124—1581no—
1106#124C22×D7911yescharacteristic
1107#123—21no—
1108#123—791no—
1109#123—791no—
1110#123—1581no—
1111#123—1581no—
1112#123—1581no—
1113#123—1581no—
1114#123—1581no—
1115#123—1581no—
1116#123—1581no—
1117#123—1581no—
1118#123—1581no—
1119#123—1581no—
1120#123—1581no—
1121#123—1581no—
1122#123—1581no—
1123#123—1581no—
1124#123—1581no—
1125#123—1581no—
1126#123—1581no—
1127#123—1581no—
1128C22⋊Q8—791no—
1129C22⋊Q8—791no—
1130C22⋊Q8—791no—
1131C22⋊Q8—791no—
1132C22⋊Q8—791no—
1133C22⋊Q8—1581no—
1134C22⋊Q8—1581no—
1135C22⋊Q8—1581no—
1136C22⋊Q8—1581no—
1137C22⋊Q8—1581no—
1138C22⋊Q8—1581no—
1139C22⋊Q8—1581no—
1140C22⋊Q8—1581no—
1141C22⋊Q8—1581no—
1142C22⋊Q8—1581no—
1143C22⋊Q8—1581no—
1144C22⋊Q8—1581no—
1145C22⋊Q8—1581no—
1146C22⋊Q8—1581no—
1147C22⋊Q8—1581no—
1148C22⋊Q8—1581no—
1149C22⋊Q8C22×D7911yescharacteristic
1150#121—791no—
1151#121—791no—
1152#121—791no—
1153#121—791no—
1154#121—791no—
1155#121—791no—
1156#121—791no—
1157#121—1581no—
1158#121—1581no—
1159#121—1581no—
1160#121—1581no—
1161#121—1581no—
1162#121—1581no—
1163#121—1581no—
1164#121—1581no—
1165#121—1581no—
1166#121C22×D7911yescharacteristic
1167#120—1581no—
1168#120—1581no—
1169#120—1581no—
1170#120—1581no—
1171C4×Q8—791no—
1172C4×Q8—791no—
1173C4×Q8—791no—
1174C4×Q8—791no—
1175C4×Q8—791no—
1176C4×Q8—1581no—
1177C4×Q8—1581no—
1178C4×Q8—1581no—
1179C4×Q8—1581no—
1180C4×Q8C22×D7911yescharacteristic
1181C4×D4—21no—
1182C4×D4—21no—
1183C4×D4—21no—
1184C4×D4—791no—
1185C4×D4—791no—
1186C4×D4—791no—
1187C4×D4—791no—
1188C4×D4—791no—
1189C4×D4—791no—
1190C4×D4—791no—
1191C4×D4—791no—
1192C4×D4—791no—
1193C4×D4—1581no—
1194C4×D4—1581no—
1195C4×D4—1581no—
1196C4×D4—1581no—
1197C4×D4—1581no—
1198C4×D4—1581no—
1199C4×D4—1581no—
1200C4×D4—1581no—
1201C4×D4—1581no—
1202C4×D4C22×D7911yescharacteristic
1203C4×D4C22×D7911yescharacteristic
1204C4×D4C22×D7911yescharacteristic
1205C4×D4C22×D7911yescharacteristic
1206C4×D4C22×D7911yescharacteristic
1207#117—21no—
1208#117—791no—
1209#117—791no—
1210#117—791no—
1211#117—791no—
1212#117—791no—
1213#117—791no—
1214#117—791no—
1215#117—1581no—
1216#117—1581no—
1217#117—1581no—
1218#117—1581no—
1219#117—1581no—
1220#117—1581no—
1221C2×C4⋊C4—791no—
1222C2×C4⋊C4—791no—
1223C2×C4⋊C4—791no—
1224C2×C4⋊C4—1581no—
1225C2×C4⋊C4—1581no—
1226C2×C4⋊C4—1581no—
1227C2×C4⋊C4C22×D7911yescharacteristic
1228C2×C22⋊C4—21no—
1229C2×C22⋊C4—1581no—
1230C2×C22⋊C4—1581no—
1231C2×C22⋊C4—1581no—
1232C2×C22⋊C4—1581no—
1233C2×C42C22×D7911yescharacteristic
1234#107—791no—
1235#107—791no—
1236#107—791no—
1237#107—791no—
1238#107—791no—
1239#107—791no—
1240#107—791no—
1241#107—791no—
1242#107—791no—
1243#107—791no—
1244#107C22×D7911yescharacteristic
1245#107C22×D7911yescharacteristic
1246#106—791no—
1247#106—791no—
1248#106—791no—
1249#106—791no—
1250#106—791no—
1251#106—791no—
1252#106—791no—
1253#106—791no—
1254#106—791no—
1255#106—791no—
1256#106C22×D7911yescharacteristic
1257#106C22×D7911yescharacteristic
1258C4⋊C8—791no—
1259C4⋊C8—791no—
1260C4⋊C8—791no—
1261C4⋊C8—791no—
1262C4⋊C8—791no—
1263C4⋊C8—791no—
1264C4⋊C8—791no—
1265C4⋊C8—791no—
1266C4⋊C8C22×D7911yescharacteristic
1267C4⋊C8C22×D7911yescharacteristic
1268#103—791no—
1269#103—791no—
1270#103—791no—
1271#103—791no—
1272#103—791no—
1273#103—791no—
1274#103—791no—
1275#103—791no—
1276#103C22×D7911yescharacteristic
1277#103C22×D7911yescharacteristic
1278#102—791no—
1279#102—791no—
1280#102—791no—
1281#102—791no—
1282#102—791no—
1283#102—791no—
1284#102—791no—
1285#102—791no—
1286#102—791no—
1287#102—791no—
1288#102—791no—
1289#102—791no—
1290#102—791no—
1291#102—791no—
1292#102—791no—
1293#102—791no—
1294#102C22×D7911yescharacteristic
1295#102C22×D7911yescharacteristic
1296#102C22×D7911yescharacteristic
1297#102C22×D7911yescharacteristic
1298#102C22×D7911yescharacteristic
1299#102C22×D7911yescharacteristic
1300C22⋊C8—791no—
1301C22⋊C8—791no—
1302C22⋊C8—791no—
1303C22⋊C8—791no—
1304C22⋊C8C22×D7911yescharacteristic
1305C22⋊C8C22×D7911yescharacteristic
1306#97—791no—
1307#97—791no—
1308C4×C8—791no—
1309C4×C8—791no—
1310C4×C8C22×D7911yescharacteristic
1311C4×C8C22×D7911yescharacteristic
1312C24—21no—
1313C24—1581no—
1314#41—3161no—
1315#41—6322no—
1316#41—1582no—
1317C2×Q8—791no—
1318C2×Q8—791no—
1319C2×Q8—1581no—
1320C2×Q8—1581no—
1321C2×Q8—1581no—
1322C2×Q8—1581no—
1323C2×Q8—1581no—
1324C2×Q8C23×D7911yescharacteristic
1325C2×D4—22no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—41no—
1329C2×D4—3161no—
1330C2×D4—791no—
1331C2×D4—791no—
1332C2×D4—791no—
1333C2×D4—791no—
1334C2×D4—6322no—
1335C2×D4—1581no—
1336C2×D4—1581no—
1337C2×D4—1581no—
1338C2×D4—1581no—
1339C2×D4—1581no—
1340C2×D4—1581no—
1341C2×D4—1582no—
1342C2×D4—1581no—
1343C2×D4—1581no—
1344C2×D4—1581no—
1345C2×D4—1581no—
1346C2×D4C23×D7911yescharacteristic
1347C2×D4C23×D7911yescharacteristic
1348C2×D4C23×D7911yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—82no—
1356C22×C4—791no—
1357C22×C4—791no—
1358C22×C4—1581no—
1359C22×C4—1581no—
1360C22×C4—1581no—
1361C22×C4—1581no—
1362C22×C4—1581no—
1363C22×C4—1581no—
1364C22×C4—1581no—
1365C22×C4—1581no—
1366C22×C4—1581no—
1367C22×C4—1581no—
1368C22×C4D4×D7911yescharacteristic
1369C22×C4D4×D7911yescharacteristic
1370C22×C4C23×D7911yescharacteristic
1371Q16—3161no—
1372SD16—22no—
1373SD16—41no—
1374SD16—3161no—
1375SD16—3161no—
1376D8—22no—
1377D8—41no—
1378D8—3161no—
1379M16—3161no—
1380M16—3161no—
1381M16—3161no—
1382M16—3161no—
1383C2×C8—3161no—
1384C2×C8—3161no—
1385C2×C8—791no—
1386C2×C8—791no—
1387C2×C8—791no—
1388C2×C8—791no—
1389C2×C8C23×D7911yescharacteristic
1390C2×C8C23×D7911yescharacteristic
1391C2×C8C23×D7911yescharacteristic
1392C2×C8C23×D7911yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—791no—
1399C4⋊C4—791no—
1400C4⋊C4—791no—
1401C4⋊C4—791no—
1402C4⋊C4—791no—
1403C4⋊C4—791no—
1404C4⋊C4—791no—
1405C4⋊C4—791no—
1406C4⋊C4—791no—
1407C4⋊C4—791no—
1408C4⋊C4—791no—
1409C4⋊C4—791no—
1410C4⋊C4—791no—
1411C4⋊C4—791no—
1412C4⋊C4—791no—
1413C4⋊C4—791no—
1414C4⋊C4—1581no—
1415C4⋊C4—1581no—
1416C4⋊C4—1581no—
1417C4⋊C4—1581no—
1418C4⋊C4—1581no—
1419C4⋊C4—1581no—
1420C4⋊C4—1581no—
1421C4⋊C4—1581no—
1422C4⋊C4—1581no—
1423C4⋊C4—1581no—
1424C4⋊C4—1581no—
1425C4⋊C4—1581no—
1426C4⋊C4—1581no—
1427C4⋊C4—1581no—
1428C4⋊C4—1581no—
1429C4⋊C4—1581no—
1430C4⋊C4—1581no—
1431C4⋊C4—1581no—
1432C4⋊C4—1581no—
1433C4⋊C4—1581no—
1434C4⋊C4—1581no—
1435C4⋊C4—1581no—
1436C4⋊C4—1581no—
1437C4⋊C4—1581no—
1438C4⋊C4—1581no—
1439C4⋊C4—1581no—
1440C4⋊C4—1581no—
1441C4⋊C4—1581no—
1442C4⋊C4C23×D7911yescharacteristic
1443C4⋊C4C23×D7911yescharacteristic
1444C4⋊C4C23×D7911yescharacteristic
1445C4⋊C4C23×D7911yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—791no—
1456C22⋊C4—791no—
1457C22⋊C4—791no—
1458C22⋊C4—791no—
1459C22⋊C4—791no—
1460C22⋊C4—791no—
1461C22⋊C4—791no—
1462C22⋊C4—791no—
1463C22⋊C4—791no—
1464C22⋊C4—791no—
1465C22⋊C4—1581no—
1466C22⋊C4—1581no—
1467C22⋊C4—1581no—
1468C22⋊C4—1581no—
1469C22⋊C4—1581no—
1470C22⋊C4—1581no—
1471C22⋊C4—1581no—
1472C22⋊C4—1581no—
1473C22⋊C4—1581no—
1474C22⋊C4—1581no—
1475C22⋊C4—1581no—
1476C22⋊C4—1581no—
1477C22⋊C4—1581no—
1478C22⋊C4—1581no—
1479C22⋊C4—1581no—
1480C22⋊C4—1581no—
1481C22⋊C4—1581no—
1482C22⋊C4—1581no—
1483C22⋊C4—1581no—
1484C22⋊C4—1581no—
1485C22⋊C4—1581no—
1486C22⋊C4—1581no—
1487C22⋊C4—1581no—
1488C22⋊C4—1581no—
1489C22⋊C4—1581no—
1490C42—21no—
1491C42—791no—
1492C42—791no—
1493C42—1581no—
1494C42—1581no—
1495C42—1581no—
1496C42—1581no—
1497C42—1581no—
1498C42—1581no—
1499C42—1581no—
1500C42—1581no—
1501C42—1581no—
1502C42D4×D7911yescharacteristic
1503C42D4×D7911yescharacteristic
1504C42C23×D7911yescharacteristic
1505C42C23×D7911yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—42no—
1510C23—42no—
1511C23—81no—
1512C23—3162no—
1513C23—791no—
1514C23—791no—
1515C23—6321no—
1516C23—6321no—
1517C23—1581no—
1518C23C2×D4×D7911yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—3161no—
1522Q8—6321no—
1523Q8—6321no—
1524Q8—6321no—
1525Q8—6321no—
1526Q8—6321no—
1527Q8—1581no—
1528Q8—1581no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—42no—
1535D4—81no—
1536D4—3161no—
1537D4—3162no—
1538D4—3162no—
1539D4—3162no—
1540D4—3161no—
1541D4—3161no—
1542D4—6321no—
1543D4—6321no—
1544D4—6321no—
1545D4—6321no—
1546D4—6321no—
1547D4—6321no—
1548D4—6321no—
1549D4—1581no—
1550D4—1581no—
1551D4#1457920812yes—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—42no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—81no—
1566C2×C4—81no—
1567C2×C4—3162no—
1568C2×C4—791no—
1569C2×C4—791no—
1570C2×C4—791no—
1571C2×C4—791no—
1572C2×C4—791no—
1573C2×C4—791no—
1574C2×C4—6321no—
1575C2×C4—6321no—
1576C2×C4—6321no—
1577C2×C4—6321no—
1578C2×C4—6321no—
1579C2×C4—6321no—
1580C2×C4—6321no—
1581C2×C4—6321no—
1582C2×C4—6321no—
1583C2×C4—1581no—
1584C2×C4—1581no—
1585C2×C4—1581no—
1586C2×C4—1581no—
1587C2×C4—1581no—
1588C2×C4—1581no—
1589C2×C4—1581no—
1590C2×C4—1581no—
1591C2×C4—1581no—
1592C2×C4—1581no—
1593C2×C4—1581no—
1594C2×C4C2×D4×D7911yescharacteristic
1595C2×C4C2×D4×D7911yescharacteristic
1596C2×C4C2×D4×D7911yescharacteristic
1597C2×C4C2×D4×D7911yescharacteristic
1598C2×C4C2×D4×D7911yescharacteristic
1599C2×C4C24×D7911yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1581no—
1605C8—1581no—
1606C8—1581no—
1607C8—1581no—
1608C22—21no—
1609C22—22no—
1610C22—21no—
1611C22—21no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—84no—
1621C22—3161no—
1622C22—3161no—
1623C22—3161no—
1624C22—1581no—
1625C22—1581no—
1626C22—1581no—
1627C22—1581no—
1628C22—1581no—
1629C22—1581no—
1630C22—12642no—
1631C22C22×D4×D7911yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—3161no—
1643C4—3161no—
1644C4—3161no—
1645C4—3161no—
1646C4—3161no—
1647C4—3161no—
1648C4—3161no—
1649C4—1581no—
1650C4—1581no—
1651C4—1581no—
1652C4—1581no—
1653C4—1581no—
1654C4—1581no—
1655C4C2×#1457920811yescharacteristic
1656C4#1909939911yescharacteristic
1657C2—41no—
1658C2—42no—
1659C2—81no—
1660C2—81no—
1661C2—3161no—
1662C2—3161no—
1663C2—6321no—
1664C2#2377707211yescharacteristic
1665C2#2377816911yescharacteristic
1666C2#2377817611yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3105C2
socleC22×C79C23×D4
hypercenter#3105D79
hypocenterC79#62175
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3105

Complements

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

NH ≅ G/Ntype
1. #23778037C2semidirect
2. #23777340C2semidirect
3. #23776356C2semidirect
4. #23776276C2semidirect
5. #23776164C2semidirect
6. #23776061C2semidirect
7. #23775988C2semidirect
8. #23775965C2semidirect
9. #23775964C2semidirect
10. #23775923C2semidirect
11. #23775843C2semidirect
12. #23775804C2semidirect
13. #23775624C2semidirect
14. #23775620C2semidirect
15. #23775606C2semidirect
16. #23775549C2semidirect
17. #23775534C2semidirect
18. #23775240C2semidirect
19. #23774858C2semidirect
20. #23774808C2semidirect
21. #23774796C2semidirect
22. #23774697C2semidirect
23. #23774658C2semidirect
24. #23774581C2semidirect
25. #23773674C2semidirect
26. #23773583C2semidirect
27. #23773252C2semidirect
28. #23773228C2semidirect
29. #23773197C2semidirect
30. #23772551C2semidirect
31. C79×#3105C2semidirect
35. #19099289C22semidirect
38. #19099277C22semidirect
40. #19099272C22semidirect
42. #19099263C22semidirect
45. #19099254C22semidirect
47. #19099247C22semidirect
56. #19099193C22semidirect
57. #19099193C22semidirect
58. #19099182C22semidirect
59. #19099182C22semidirect
68. #19099120C22semidirect
75. #19098971C22semidirect
76. #19098971C22semidirect
77. #19098965C22semidirect
78. #19098965C22semidirect
79. #19098963C22semidirect
80. #19098960C22semidirect
82. #19098921C22semidirect
83. #19098918C22semidirect
84. #19098918C22semidirect
85. #19098916C22semidirect
87. #19098906C22semidirect
88. #19098905C22semidirect
89. #19098905C22semidirect
90. #19098902C22semidirect
91. #19098895C22semidirect
92. #19098892C22semidirect
93. #19098889C22semidirect
97. #19098886C22semidirect
98. #19098886C22semidirect
100. #19098880C22semidirect
101. #19098880C22semidirect
102. #19098878C22semidirect
103. #19098873C22semidirect
104. #19098872C22semidirect
105. #19098870C22semidirect
106. #19098867C22semidirect
107. #19098866C22semidirect
110. #19098863C22semidirect
111. #19098863C22semidirect
112. #19098863C22semidirect
115. #19098861C22semidirect
116. #19098860C22semidirect
117. #19098859C22semidirect
118. #19098857C22semidirect
119. #19098856C22semidirect
120. #19098854C22semidirect
122. #19098853C22semidirect
123. #19098852C22semidirect
124. #19098849C22semidirect
125. #19098844C22semidirect
127. #19098843C22semidirect
130. #19098841C22semidirect
131. #19098819C22semidirect
132. #19098815C22semidirect
135. #19098808C22semidirect
136. #19098807C22semidirect
138. #19098806C22semidirect
139. #19098803C22semidirect
141. #19098796C22semidirect
142. #19098795C22semidirect
143. #19098785C22semidirect
144. #19098783C22semidirect
145. #19098782C22semidirect
146. #19098778C22semidirect
147. #19098776C22semidirect
148. #19098775C22semidirect
155. #19098693C22semidirect
156. C8×Dic158C22semidirect
159. #19098667C22semidirect
160. #19098666C22semidirect
161. #19098654C22semidirect
164. #19098643C22semidirect
165. #19098642C22semidirect
167. #19098638C22semidirect
169. #19098637C22semidirect
170. C8×D316C22semidirect
171. #19098623C22semidirect
172. #19098623C22semidirect
173. #19098603C22semidirect
174. #19098603C22semidirect
175. #19098602C22semidirect
176. #19098602C22semidirect
177. #19098600C22semidirect
178. #107×D79C22semidirect
179. #19098588C22semidirect
180. #19098588C22semidirect
181. #19098587C22semidirect
188. #529×C79C22semidirect
190. #484×C79C22semidirect
191. #481×C79C22semidirect
193. #478×C79C22semidirect
195. #463×C79C22semidirect
199. C4×SD16×C79C22semidirect
201. C4×D8×C79C22semidirect
202. #431×C79C22semidirect
860. #3105D79semidirect
865. C79#62175semidirect
905. #529C2×D79semidirect
927. #484C2×D79semidirect
939. #481C2×D79semidirect
956. #478C2×D79semidirect
990. #463C2×D79semidirect
1009. C4×SD16C2×D79semidirect
1012. C4×D8C2×D79semidirect
1021. #431C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780372
#237773402
#237763562
#237762762
#237761642
#237760612
#237759882
#237759652
#237759642
#237759232
#237758432
#237758042
#237756242
#237756202
#237756062
#237755492
#237755342
#237752402
#237748582
#237748082
#237747962
#237746972
#237746582
#237745812
#237736742
#237735832
#237732522
#237732282
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