Finite Group Databasebeta

← #35185476

Subgroups — #35185476

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#23778049C211yesmaximal, characteristic, complemented
2#23777340C211yesmaximal, characteristic, complemented
3#23776358C211yesmaximal, characteristic, complemented
4#23776270C211yesmaximal, characteristic, complemented
5#23776166C211yesmaximal, characteristic, complemented
6#23776063C211yesmaximal, characteristic, complemented
7#23775991C211yesmaximal, characteristic, complemented
8#23775967C211yesmaximal, characteristic, complemented
9#23775956C211yesmaximal, characteristic, complemented
10#23775931C211yesmaximal, characteristic, complemented
11#23775841C211yesmaximal, characteristic, complemented
12#23775799C211yesmaximal, characteristic, complemented
13#23775627C211yesmaximal, characteristic, complemented
14#23775612C211yesmaximal, characteristic, complemented
15#23775598C211yesmaximal, characteristic, complemented
16#23775557C211yesmaximal, characteristic, complemented
17#23775542C211yesmaximal, characteristic, complemented
18#23775232C211yesmaximal, characteristic, complemented
19#23774860C211yesmaximal, characteristic, complemented
20#23774810C211yesmaximal, characteristic, complemented
21#23774801C211yesmaximal, characteristic, complemented
22#23774695C211yesmaximal, characteristic, complemented
23#23774660C211yesmaximal, characteristic, complemented
24#23774579C211yesmaximal, characteristic, complemented
25#23773682C211yesmaximal, characteristic, complemented
26#23773591C211yesmaximal, characteristic, complemented
27#23773447C211yesmaximal, characteristic, complemented
28#23773246C211yesmaximal, characteristic, complemented
29#23773226C211yesmaximal, characteristic, complemented
30#23772545C211yesmaximal, characteristic, complemented
31C79×#3077C211yesmaximal, characteristic, complemented
32#19099314—21no—
33#19099309—21no—
34#19099296C2211yescharacteristic
35#19099290C2211yescharacteristic, complemented
36#19099285—21no—
37#19099281C2211yescharacteristic
38#19099276C2211yescharacteristic, complemented
39#19099272C2211yescharacteristic
40#19099269C2211yescharacteristic, complemented
41#19099266C2211yescharacteristic, complemented
42#19099263C2211yescharacteristic
43#19099262—21no—
44#19099257C2211yescharacteristic
45#19099254—21no—
46#19099252C2211yescharacteristic, complemented
47#19099251C2211yescharacteristic, complemented
48#19099248C2211yescharacteristic
49#19099242—21no—
50#19099239—21no—
51#19099214C2211yescharacteristic
52#19099208C2211yescharacteristic
53#19099207C2211yescharacteristic
54#19099203—21no—
55D4×C22⋊D79C2211yescharacteristic
56#19099190C2211yescharacteristic, complemented
57#19099190C2211yescharacteristic, complemented
58#19099187C2211yescharacteristic, complemented
59#19099187C2211yescharacteristic, complemented
60#19099185—21no—
61#19099183—21no—
62#19099178C2211yescharacteristic
63#19099171—21no—
64#19099164C2211yescharacteristic
65#19099159—21no—
66#19099155—21no—
67#19099146—21no—
68#19099097C2211yescharacteristic
69#19099097C2211yescharacteristic
70#19099097C2211yescharacteristic, complemented
71#19099074—21no—
72C2×#14579144—21no—
73#19099042C2211yescharacteristic
74#19099035C2211yescharacteristic
75#19098971C2211yescharacteristic, complemented
76#19098970C2211yescharacteristic, complemented
77#19098964C2211yescharacteristic, complemented
78#19098962C2211yescharacteristic, complemented
79#19098962C2211yescharacteristic, complemented
80#19098960C2211yescharacteristic, complemented
81#19098926C2211yescharacteristic
82#19098921C2211yescharacteristic, complemented
83#19098920C2211yescharacteristic, complemented
84#19098920C2211yescharacteristic, complemented
85#19098916C2211yescharacteristic, complemented
86#19098908C2211yescharacteristic
87#19098907C2211yescharacteristic, complemented
88#19098906C2211yescharacteristic, complemented
89#19098904C2211yescharacteristic, complemented
90#19098904C2211yescharacteristic, complemented
91#19098898C2211yescharacteristic, complemented
92#19098895C2211yescharacteristic, complemented
93#19098895C2211yescharacteristic, complemented
94#19098890C2211yescharacteristic, complemented
95#19098890C2211yescharacteristic, complemented
96#19098887C2211yescharacteristic
97#19098887C2211yescharacteristic
98#19098885C2211yescharacteristic
99#19098885C2211yescharacteristic, complemented
100#19098883C2211yescharacteristic, complemented
101#19098881C2211yescharacteristic, complemented
102#19098880C2211yescharacteristic
103#19098880C2211yescharacteristic, complemented
104#19098878C2211yescharacteristic, complemented
105#19098873C2211yescharacteristic, complemented
106#19098871C2211yescharacteristic, complemented
107#19098871C2211yescharacteristic, complemented
108#19098869C2211yescharacteristic, complemented
109#19098865C2211yescharacteristic
110#19098865C2211yescharacteristic
111#19098864C2211yescharacteristic, complemented
112#19098864C2211yescharacteristic, complemented
113#19098863C2211yescharacteristic
114#19098863C2211yescharacteristic, complemented
115#19098862C2211yescharacteristic, complemented
116#19098862C2211yescharacteristic, complemented
117#19098857C2211yescharacteristic, complemented
118#19098857C2211yescharacteristic, complemented
119#19098855C2211yescharacteristic, complemented
120#19098852C2211yescharacteristic, complemented
121#19098850C2211yescharacteristic, complemented
122#19098845C2211yescharacteristic, complemented
123#19098842C2211yescharacteristic, complemented
124#19098841C2211yescharacteristic
125#19098841C2211yescharacteristic
126#19098840C2211yescharacteristic, complemented
127#19098821C2211yescharacteristic, complemented
128#19098817C2211yescharacteristic, complemented
129#19098816C2211yescharacteristic
130#19098810C2211yescharacteristic, complemented
131#19098809C2211yescharacteristic
132#19098809C2211yescharacteristic, complemented
133#19098808C2211yescharacteristic
134#19098808C2211yescharacteristic, complemented
135#19098805C2211yescharacteristic, complemented
136#19098798C2211yescharacteristic
137#19098798C2211yescharacteristic, complemented
138#19098793C2211yescharacteristic, complemented
139#19098786C2211yescharacteristic, complemented
140#19098786C2211yescharacteristic, complemented
141#19098784C2211yescharacteristic, complemented
142#19098779C2211yescharacteristic, complemented
143#19098779C2211yescharacteristic, complemented
144#19098778C2211yescharacteristic
145#19098778C2211yescharacteristic, complemented
146#19098777C2211yescharacteristic, complemented
147#19098762C2211yescharacteristic
148#19098757C2211yescharacteristic
149#19098726C2211yescharacteristic
150#19098715C2211yescharacteristic
151#19098714C2211yescharacteristic
152#19098709C2211yescharacteristic
153#19098698C2211yescharacteristic
154#19098697C2211yescharacteristic
155#19098690C2211yescharacteristic, complemented
156#19098687C2211yescharacteristic, complemented
157#19098672C2211yescharacteristic
158#19098672C2211yescharacteristic
159#19098669C2211yescharacteristic, complemented
160#19098662C2211yescharacteristic, complemented
161#19098654C2211yescharacteristic
162#19098654C2211yescharacteristic
163#19098650C2211yescharacteristic, complemented
164C4×#11929612C2211yescharacteristic
165C4×#11929612C2211yescharacteristic, complemented
166#19098645C2211yescharacteristic, complemented
167C4×#11929609C2211yescharacteristic
168C4×#11929609C2211yescharacteristic, complemented
169#19098640C2211yescharacteristic, complemented
170#19098639C2211yescharacteristic
171#19098639C2211yescharacteristic, complemented
172#19098632C2211yescharacteristic
173#19098632C2211yescharacteristic, complemented
174#19098628C2211yescharacteristic, complemented
175#19098623C2211yescharacteristic, complemented
176#19098623C2211yescharacteristic, complemented
177#19098616C2211yescharacteristic, complemented
178#19098604C2211yescharacteristic, complemented
179#19098602C2211yescharacteristic, complemented
180#19098598C2211yescharacteristic, complemented
181#107×D79C2211yescharacteristic, complemented
182#19098588C2211yescharacteristic, complemented
183#19098588C2211yescharacteristic, complemented
184#19098566C2211yescharacteristic
185#19098561C2211yescharacteristic
186#19098556C2211yescharacteristic
187#102×D79C2211yescharacteristic
188#533×C79C2211yescharacteristic, complemented
189C2×C4×D4×C79C2211yescharacteristic
190#478×C79C2211yescharacteristic
191#478×C79C2211yescharacteristic
192#478×C79C2211yescharacteristic, complemented
193#478×C79C2211yescharacteristic, complemented
194#476×C79C2211yescharacteristic
195#476×C79C2211yescharacteristic, complemented
196#474×C79C2211yescharacteristic
197#474×C79C2211yescharacteristic, complemented
198#428×C79C2211yescharacteristic, complemented
199#428×C79C2211yescharacteristic, complemented
200#423×C79C2211yescharacteristic, complemented
201#418×C79C2211yescharacteristic
202#418×C79C2211yescharacteristic
203C2×#11929624—21no—
204C2×#11929623C2311yescharacteristic
205C22×C22⋊D79—21no—
206C2×D4×D79C2311yescharacteristic
207C2×Dic316C2311yescharacteristic
208C2×#11929613C2311yescharacteristic
209C2×#11929613C2311yescharacteristic
210C2×#11929612C2311yescharacteristic
211C2×#11929612C2311yescharacteristic
212C2×D632C2311yescharacteristic
213C2×#11929609C2311yescharacteristic
214C2×#11929609C2311yescharacteristic
215C2×#11929607C2311yescharacteristic
216C2×#11929607C2311yescharacteristic
217C2×C8×D79C2311yescharacteristic
218C2×C8×D79C2311yescharacteristic
219#14579160—21no—
220#14579160C2311yescharacteristic
221#14579160C2311yescharacteristic
222#14579160C2311yescharacteristic
223#14579159—21no—
224#14579159—21no—
225#14579157C2311yescharacteristic
226#14579156—21no—
227#14579156—21no—
228#14579156—21no—
229#14579156—21no—
230#14579156—21no—
231#14579155—21no—
232#14579155—21no—
233#14579155—21no—
234#14579155—21no—
235#14579155D411yescharacteristic
236#14579155D411yescharacteristic
237#14579154—21no—
238#14579154—21no—
239#14579154—21no—
240#14579154—21no—
241#14579153—21no—
242#14579153D411yescharacteristic
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#14579150—21no—
255#14579150—21no—
256#14579149—21no—
257#14579149D411yescharacteristic
258#14579149C2311yescharacteristic
259#14579149C2311yescharacteristic
260#14579148C2311yescharacteristic
261#14579147—21no—
262#14579147—21no—
263#14579147—21no—
264#14579147—21no—
265#14579146—21no—
266#14579146—21no—
267#14579146—21no—
268#14579146—21no—
269#14579146—21no—
270#14579145—21no—
271#14579144—21no—
272#14579144—21no—
273#14579144—21no—
274#14579144—21no—
275#14579144—21no—
276#14579144—21no—
277#14579144—21no—
278#14579144—21no—
279#14579144D411yescharacteristic
280#14579144D411yescharacteristic
281#14579143—21no—
282#14579143—21no—
283#14579143—21no—
284#14579143—21no—
285#14579142—21no—
286#14579141—21no—
287#14579141C2311yescharacteristic
288#14579141C2311yescharacteristic
289#14579141C2311yescharacteristic
290#14579140—21no—
291#14579140—21no—
292#14579140D411yescharacteristic
293#14579140C2311yescharacteristic
294#14579140C2311yescharacteristic
295#14579139—21no—
296#14579139—21no—
297#14579139—21no—
298#14579139—21no—
299#14579139—21no—
300#14579138—21no—
301#14579138—21no—
302#14579137—21no—
303#14579137—21no—
304#14579137—21no—
305#14579137—21no—
306#14579136—21no—
307#14579136C2311yescharacteristic
308#14579136C2311yescharacteristic
309#14579136C2311yescharacteristic
310#14579135—21no—
311#14579135—21no—
312#14579135D411yescharacteristic
313#14579135C2311yescharacteristic
314#14579135C2311yescharacteristic
315#14579134—21no—
316#14579134—21no—
317#14579134—21no—
318#14579134—21no—
319#14579133—21no—
320#14579133—21no—
321#14579132C2311yescharacteristic
322#14579132C2311yescharacteristic
323#14579131—21no—
324#14579130—21no—
325#14579130—21no—
326#14579129—21no—
327C4×Dic158—21no—
328C4×Dic158C2311yescharacteristic
329C4×Dic158C2311yescharacteristic
330C4×Dic158C2311yescharacteristic
331#14579126—21no—
332#14579126C2311yescharacteristic
333#14579126C2311yescharacteristic
334#14579126C2311yescharacteristic
335C4×D316—21no—
336C4×D316C2311yescharacteristic
337C4×D316C2311yescharacteristic
338C4×D316C2311yescharacteristic
339D4×Dic79C2311yescharacteristic
340D4×Dic79C2311yescharacteristic
341#14579123—21no—
342#14579123C2311yescharacteristic
343#14579123C2311yescharacteristic
344#14579123C2311yescharacteristic
345C4×C22⋊D79—21no—
346C4×C22⋊D79—21no—
347C4×C22⋊D79—21no—
348C4×C22⋊D79—21no—
349C4×C22⋊D79—21no—
350C4×C22⋊D79—21no—
351C4×C22⋊D79C2311yescharacteristic
352C4×C22⋊D79C2311yescharacteristic
353(C22⋊D79)⋊C4—21no—
354(C22⋊D79)⋊C4—21no—
355#14579120—21no—
356#14579119—21no—
357#14579119C2311yescharacteristic
358#14579119C2311yescharacteristic
359#14579119C2311yescharacteristic
360#14579118—21no—
361#14579118—21no—
362#14579118—21no—
363#14579118—21no—
364#14579118C2311yescharacteristic
365#14579118C2311yescharacteristic
366#14579117—21no—
367C2×Dic79⋊C4—21no—
368C2×Dic79⋊C4—21no—
369C4⋊C4×D79—21no—
370C4⋊C4×D79C2311yescharacteristic
371C4⋊C4×D79C2311yescharacteristic
372C4⋊C4×D79C2311yescharacteristic
373C2×C22⋊Dic79—21no—
374C2×(C2×D79)⋊C4—21no—
375C2×(C2×D79)⋊C4—21no—
376C22⋊C4×D79—21no—
377#14579095C2311yescharacteristic
378#14579095C2311yescharacteristic
379#14579094C2311yescharacteristic
380#14579094C2311yescharacteristic
381#14579094C2311yescharacteristic
382#14579094C2311yescharacteristic
383#14579094C2311yescharacteristic
384#14579094C2311yescharacteristic
385#14579093C2311yescharacteristic
386#14579093C2311yescharacteristic
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#14579084C2311yescharacteristic
404#14579084C2311yescharacteristic
405#14579084C2311yescharacteristic
406#14579084C2311yescharacteristic
407#14579084C2311yescharacteristic
408#14579084C2311yescharacteristic
409#14579083C2311yescharacteristic
410#14579083C2311yescharacteristic
411#14579083C2311yescharacteristic
412#14579083C2311yescharacteristic
413#14579082C2311yescharacteristic
414#14579082C2311yescharacteristic
415#14579082C2311yescharacteristic
416#14579082C2311yescharacteristic
417#14579081C2311yescharacteristic
418#14579081C2311yescharacteristic
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#14579071C2311yescharacteristic
430#14579071C2311yescharacteristic
431C4×C79⋊C8C2311yescharacteristic
432C4×C79⋊C8C2311yescharacteristic
433C8×Dic79C2311yescharacteristic
434C8×Dic79C2311yescharacteristic
435C22×D4×C79C2311yescharacteristic
436C23×C4×C79—21no—
437C2×M16×C79C2311yescharacteristic
438C2×M16×C79C2311yescharacteristic
439C4⋊Q8×C79C2311yescharacteristic
440C4⋊Q8×C79C2311yescharacteristic
441#125×C79C2311yescharacteristic
442#125×C79C2311yescharacteristic
443C22⋊Q8×C79—21no—
444C22⋊Q8×C79—21no—
445C4×Q8×C79—21no—
446C4×Q8×C79—21no—
447C4×D4×C79—21no—
448C4×D4×C79—21no—
449C4×D4×C79C2311yescharacteristic
450C4×D4×C79C2311yescharacteristic
451C4×D4×C79C2311yescharacteristic
452C4×D4×C79C2311yescharacteristic
453#117×C79C2311yescharacteristic
454#117×C79C2311yescharacteristic
455C2×C4⋊C4×C79C2311yescharacteristic
456C2×C22⋊C4×C79—21no—
457C2×C42×C79C2311yescharacteristic
458#107×C79C2311yescharacteristic
459#107×C79C2311yescharacteristic
460#107×C79C2311yescharacteristic
461#107×C79C2311yescharacteristic
462#106×C79C2311yescharacteristic
463#106×C79C2311yescharacteristic
464#106×C79C2311yescharacteristic
465#106×C79C2311yescharacteristic
466C4⋊C8×C79C2311yescharacteristic
467C4⋊C8×C79C2311yescharacteristic
468C4⋊C8×C79C2311yescharacteristic
469C4⋊C8×C79C2311yescharacteristic
470#102×C79C2311yescharacteristic
471#102×C79C2311yescharacteristic
472#102×C79C2311yescharacteristic
473#102×C79C2311yescharacteristic
474#102×C79C2311yescharacteristic
475#102×C79C2311yescharacteristic
476#102×C79C2311yescharacteristic
477#102×C79C2311yescharacteristic
478C23×D79—21no—
479#11929624—82no—
480#11929623—22no—
481#11929623—41no—
482C2×Dic158—21no—
483C2×Dic158—21no—
484C2×Dic158—21no—
485C2×Dic158C2×D411yescharacteristic
486C2×Dic158C2411yescharacteristic
487C2×Dic158C2411yescharacteristic
488C2×D316—21no—
489C2×D316—21no—
490C2×D316—21no—
491C2×D316C2×D411yescharacteristic
492C2×D316C2411yescharacteristic
493C2×D316C2411yescharacteristic
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—21no—
502C2×C22⋊D79—82no—
503C2×C22⋊D79C2×D411yescharacteristic
504C2×C22⋊D79C2×D411yescharacteristic
505D4×D79—22no—
506D4×D79—41no—
507C22×Dic79—21no—
508C22×Dic79—21no—
509C22×Dic79—21no—
510C2×C4×D79—21no—
511C2×C4×D79—21no—
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×D79C2411yescharacteristic
519C2×C4×D79C2411yescharacteristic
520Dic316—41no—
521#11929613—41no—
522#11929613—41no—
523#11929612—22no—
524#11929612—41no—
525D632—41no—
526#11929609—22no—
527#11929609—41no—
528#11929607—41no—
529#11929607—41no—
530C2×C79⋊C8C2411yescharacteristic
531C2×C79⋊C8C2411yescharacteristic
532C2×C79⋊C8C2411yescharacteristic
533C2×C79⋊C8C2411yescharacteristic
534C8×D79—41no—
535C8×D79—41no—
536C4⋊Dic79—21no—
537C4⋊Dic79—21no—
538C4⋊Dic79—21no—
539C4⋊Dic79—21no—
540C4⋊Dic79—21no—
541C4⋊Dic79—21no—
542C4⋊Dic79C2×D411yescharacteristic
543C4⋊Dic79C2×D411yescharacteristic
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⋊Dic79C2×D411yescharacteristic
585C22⋊Dic79C2×D411yescharacteristic
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)⋊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)⋊C4—21no—
604(C2×D79)⋊C4—21no—
605(C2×D79)⋊C4—21no—
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
611(C2×D79)⋊C4C2×D411yescharacteristic
612(C2×D79)⋊C4C2×D411yescharacteristic
613(C2×D79)⋊C4C2×D411yescharacteristic
614C4×Dic79—21no—
615C4×Dic79—21no—
616C4×Dic79—21no—
617C4×Dic79—21no—
618C4×Dic79—21no—
619C4×Dic79—21no—
620C4×Dic79—21no—
621C4×Dic79—21no—
622C4×Dic79C2411yescharacteristic
623C4×Dic79C2411yescharacteristic
624C24×C79—21no—
625C2×Q8×C79—21no—
626C2×Q8×C79—21no—
627C2×D4×C79—22no—
628C2×D4×C79—21no—
629C2×D4×C79—41no—
630C2×D4×C79C2411yescharacteristic
631C2×D4×C79C2411yescharacteristic
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
641M16×C79—41no—
642M16×C79—41no—
643C2×C8×C79C2411yescharacteristic
644C2×C8×C79C2411yescharacteristic
645C2×C8×C79C2411yescharacteristic
646C2×C8×C79C2411yescharacteristic
647C4⋊C4×C79—21no—
648C4⋊C4×C79—21no—
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
658C4⋊C4×C79C2411yescharacteristic
659C4⋊C4×C79C2411yescharacteristic
660C22⋊C4×C79—21no—
661C22⋊C4×C79—21no—
662C22⋊C4×C79—21no—
663C22⋊C4×C79—21no—
664C22⋊C4×C79—21no—
665C22⋊C4×C79—21no—
666C42×C79—21no—
667C42×C79—21no—
668C42×C79C2×D411yescharacteristic
669C42×C79C2×D411yescharacteristic
670C42×C79C2411yescharacteristic
671C42×C79C2411yescharacteristic
672C23×C79—21no—
673C23×C79—21no—
674C23×C79—42no—
675C23×C79—42no—
676C23×C79—81no—
677C23×C79C22×D411yescharacteristic
678C22×D79—21no—
679C22×D79—21no—
680C22×D79—42no—
681C22×D79—81no—
682C22×D79—81no—
683C22×D79C22×D411yescharacteristic
684C22×D79C22×D411yescharacteristic
685Q8×C79—81no—
686Q8×C79—81no—
687D4×C79—21no—
688D4×C79—21no—
689D4×C79—21no—
690D4×C79—42no—
691D4×C792−1+412yes—
692C2×C4×C79—21no—
693C2×C4×C79—21no—
694C2×C4×C79—21no—
695C2×C4×C79—21no—
696C2×C4×C79—21no—
697C2×C4×C79—21no—
698C2×C4×C79—21no—
699C2×C4×C79—21no—
700C2×C4×C79—41no—
701C2×C4×C79—41no—
702C2×C4×C79—42no—
703C2×C4×C79—81no—
704C2×C4×C79—81no—
705C2×C4×C79—81no—
706C2×C4×C79—81no—
707C2×C4×C79C22×D411yescharacteristic
708C2×C4×C79C22×D411yescharacteristic
709C2×C4×C79C22×D411yescharacteristic
710C2×C4×C79C22×D411yescharacteristic
711C2×C4×C79C22×D411yescharacteristic
712C2×C4×C79C2511yescharacteristic
713C22⋊D79—41no—
714C22⋊D79—41no—
715C22⋊D79—42no—
716C22⋊D79—42no—
717C22⋊D79—42no—
718C22⋊D79—81no—
719C22⋊D79—81no—
720C22⋊D79—81no—
721C22⋊D79—81no—
722C22⋊D79—81no—
723C2×Dic79—21no—
724C2×Dic79—21no—
725C2×Dic79—21no—
726C2×Dic79—21no—
727C2×Dic79—21no—
728C2×Dic79—21no—
729C2×Dic79—42no—
730C2×Dic79—81no—
731C2×Dic79—81no—
732C2×Dic79C22×D411yescharacteristic
733C2×Dic79C22×D411yescharacteristic
734C2×Dic79C22×D411yescharacteristic
735C2×Dic79C22×D411yescharacteristic
736C2×Dic79C22×D411yescharacteristic
737C2×Dic79C22×D411yescharacteristic
738D316—21no—
739D316—21no—
740D316—21no—
741D316—21no—
742D316—41no—
743D316—81no—
744D316—81no—
745D316—81no—
746C4×D79—21no—
747C4×D79—21no—
748C4×D79—21no—
749C4×D79—21no—
750C4×D79—81no—
751C4×D79—81no—
752C4×D79—81no—
753C4×D79—81no—
754C4×D79—81no—
755C4×D79—81no—
756C4×D79—81no—
757C4×D79—81no—
758Dic158—21no—
759Dic158—21no—
760Dic158—21no—
761Dic158—21no—
762Dic158—41no—
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—84no—
784C22×C79C23×D411yescharacteristic
785C2×D79—21no—
786C2×D79—21no—
787C2×D79—21no—
788C2×D79—21no—
789C2×D79—21no—
790C2×D79—21no—
791C2×D79—41no—
792C2×D79—41no—
793C2×D79—41no—
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×C79—41no—
809C4×C79C2×2−1+411yescharacteristic
810C4×C79#58511yescharacteristic
811Dic79—21no—
812Dic79—21no—
813Dic79—21no—
814Dic79—21no—
815Dic79—21no—
816Dic79—21no—
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#348911yescharacteristic
828C2×C79#358411yescharacteristic
829C2×C79#358511yescharacteristic
830D79—41no—
831D79—41no—
832D79—81no—
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#3105—791no—
861#3083—791no—
862#3081—791no—
863#3077D7911yescharacteristic, complemented
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#533C2×D7911yescharacteristic, complemented
903#529—791no—
904#529—791no—
905#529—791no—
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#484—791no—
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#481—791no—
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#478C2×D7911yescharacteristic
954#478C2×D7911yescharacteristic
955#478C2×D7911yescharacteristic, complemented
956#478C2×D7911yescharacteristic, complemented
957#477—791no—
958#477—791no—
959#477—791no—
960#476—791no—
961#476—791no—
962#476C2×D7911yescharacteristic
963#476C2×D7911yescharacteristic, complemented
964#475—791no—
965#474—791no—
966#474—791no—
967#474—791no—
968#474—791no—
969#474C2×D7911yescharacteristic
970#474C2×D7911yescharacteristic, complemented
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#463—791no—
990#463—791no—
991#460—791no—
992#459—791no—
993#452—791no—
994#450—791no—
995#450—791no—
996#449—791no—
997#447—791no—
998#447—791no—
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×SD16—791no—
1009C4×SD16—791no—
1010C4×D8—791no—
1011C4×D8—791no—
1012C4×D8—791no—
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#431—791no—
1022#428—791no—
1023#428—791no—
1024#428C2×D7911yescharacteristic, complemented
1025#428C2×D7911yescharacteristic, complemented
1026#427—791no—
1027C2×#107—791no—
1028#424—791no—
1029#424—791no—
1030#423C2×D7911yescharacteristic, complemented
1031#418—791no—
1032#418C2×D7911yescharacteristic
1033#418C2×D7911yescharacteristic
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×SD16—791no—
1047C2×SD16—791no—
1048C2×D8—791no—
1049C2×D8—791no—
1050C2×D8—791no—
1051C2×M16—791no—
1052C2×M16—791no—
1053C2×M16C22×D7911yescharacteristic
1054C2×M16C22×D7911yescharacteristic
1055C22×C8—791no—
1056C22×C8—791no—
1057C4⋊Q8—791no—
1058C4⋊Q8—791no—
1059C4⋊Q8—791no—
1060C4⋊Q8—1581no—
1061C4⋊Q8—1581no—
1062C4⋊Q8—1581no—
1063C4⋊Q8C22×D7911yescharacteristic
1064C4⋊Q8C22×D7911yescharacteristic
1065#127—791no—
1066#126—791no—
1067#126—791no—
1068#126—1581no—
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—1581no—
1088#125—1581no—
1089#125—1581no—
1090#125—1581no—
1091#125—1581no—
1092#125—1581no—
1093#125—1581no—
1094#125C22×D7911yescharacteristic
1095#125C22×D7911yescharacteristic
1096#124—791no—
1097#124—791no—
1098#124—791no—
1099#124—791no—
1100#124—1581no—
1101#124—1581no—
1102#124—1581no—
1103#124—1581no—
1104#124—1581no—
1105#124—1581no—
1106#124—1581no—
1107#123—791no—
1108#123—791no—
1109#123—1581no—
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—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—791no—
1131C22⋊Q8—791no—
1132C22⋊Q8—791no—
1133C22⋊Q8—791no—
1134C22⋊Q8—791no—
1135C22⋊Q8—791no—
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⋊Q8—1581no—
1150#121—791no—
1151#121—791no—
1152#121—791no—
1153#121—791no—
1154#121—791no—
1155#121—791no—
1156#121—791no—
1157#121—791no—
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#121—1581no—
1167#120—1581no—
1168#120—1581no—
1169#120—1581no—
1170#120—1581no—
1171C4×Q8—21no—
1172C4×Q8—21no—
1173C4×Q8—791no—
1174C4×Q8—791no—
1175C4×Q8—791no—
1176C4×Q8—791no—
1177C4×Q8—791no—
1178C4×Q8—791no—
1179C4×Q8—1581no—
1180C4×Q8—1581no—
1181C4×D4—21no—
1182C4×D4—21no—
1183C4×D4—791no—
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×D4—1581no—
1203C4×D4C22×D7911yescharacteristic
1204C4×D4C22×D7911yescharacteristic
1205C4×D4C22×D7911yescharacteristic
1206C4×D4C22×D7911yescharacteristic
1207#117—791no—
1208#117—791no—
1209#117—791no—
1210#117—791no—
1211#117—791no—
1212#117—1581no—
1213#117—1581no—
1214#117—1581no—
1215#117—1581no—
1216#117—1581no—
1217#117—1581no—
1218#117—1581no—
1219#117C22×D7911yescharacteristic
1220#117C22×D7911yescharacteristic
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#107C22×D7911yescharacteristic
1243#107C22×D7911yescharacteristic
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#106C22×D7911yescharacteristic
1255#106C22×D7911yescharacteristic
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⋊C8C22×D7911yescharacteristic
1265C4⋊C8C22×D7911yescharacteristic
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#103—791no—
1277#103—791no—
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#102C22×D7911yescharacteristic
1293#102C22×D7911yescharacteristic
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⋊C8—791no—
1305C22⋊C8—791no—
1306#97—791no—
1307#97—791no—
1308C4×C8—791no—
1309C4×C8—791no—
1310C4×C8—791no—
1311C4×C8—791no—
1312C24—21no—
1313C24—1581no—
1314#41—3161no—
1315#41—6322no—
1316#41—1582no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—791no—
1320C2×Q8—791no—
1321C2×Q8—791no—
1322C2×Q8—1581no—
1323C2×Q8—1581no—
1324C2×Q8—1581no—
1325C2×D4—22no—
1326C2×D4—21no—
1327C2×D4—41no—
1328C2×D4—3161no—
1329C2×D4—791no—
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—1581no—
1342C2×D4—1581no—
1343C2×D4—1582no—
1344C2×D4—1581no—
1345C2×D4—1581no—
1346C2×D4—1581no—
1347C2×D4C23×D7911yescharacteristic
1348C2×D4C23×D7911yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—82no—
1355C22×C4—791no—
1356C22×C4—791no—
1357C22×C4—1581no—
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—3161no—
1373SD16—3161no—
1374SD16—3161no—
1375SD16—1582no—
1376D8—3161no—
1377D8—3161no—
1378D8—1582no—
1379M16—41no—
1380M16—41no—
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—21no—
1399C4⋊C4—21no—
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⋊C4C23×D7911yescharacteristic
1441C4⋊C4C23×D7911yescharacteristic
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—791no—
1453C22⋊C4—791no—
1454C22⋊C4—791no—
1455C22⋊C4—791no—
1456C22⋊C4—791no—
1457C22⋊C4—791no—
1458C22⋊C4—791no—
1459C22⋊C4—791no—
1460C22⋊C4—791no—
1461C22⋊C4—791no—
1462C22⋊C4—1581no—
1463C22⋊C4—1581no—
1464C22⋊C4—1581no—
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—21no—
1492C42—791no—
1493C42—791no—
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—42no—
1509C23—42no—
1510C23—81no—
1511C23—3162no—
1512C23—791no—
1513C23—791no—
1514C23—6321no—
1515C23—6321no—
1516C23—1581no—
1517C23—1581no—
1518C23C2×D4×D7911yescharacteristic
1519Q8—81no—
1520Q8—81no—
1521Q8—3161no—
1522Q8—6321no—
1523Q8—6321no—
1524Q8—6321no—
1525Q8—1581no—
1526Q8—1581no—
1527Q8—1581no—
1528Q8—1581no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—42no—
1533D4—3161no—
1534D4—3162no—
1535D4—3162no—
1536D4—3162no—
1537D4—3161no—
1538D4—3161no—
1539D4—6321no—
1540D4—6321no—
1541D4—6321no—
1542D4—6321no—
1543D4—6321no—
1544D4—6321no—
1545D4—6321no—
1546D4—6321no—
1547D4—1581no—
1548D4—1581no—
1549D4—1581no—
1550D4—1581no—
1551D4#1457920912yes—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—42no—
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—6321no—
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—84no—
1618C22—3161no—
1619C22—3161no—
1620C22—3161no—
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—41no—
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×#1457920911yescharacteristic
1656C4#1909939911yescharacteristic
1657C2—41no—
1658C2—42no—
1659C2—81no—
1660C2—3161no—
1661C2—3161no—
1662C2—6321no—
1663C2—6321no—
1664C2#2377707611yescharacteristic
1665C2#2377817311yescharacteristic
1666C2#2377817611yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3077C2
socleC22×C79C23×D4
hypercenter#3077D79
hypocenterC79#62175
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3077

Complements

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

NH ≅ G/Ntype
1. #23778049C2semidirect
2. #23777340C2semidirect
3. #23776358C2semidirect
4. #23776270C2semidirect
5. #23776166C2semidirect
6. #23776063C2semidirect
7. #23775991C2semidirect
8. #23775967C2semidirect
9. #23775956C2semidirect
10. #23775931C2semidirect
11. #23775841C2semidirect
12. #23775799C2semidirect
13. #23775627C2semidirect
14. #23775612C2semidirect
15. #23775598C2semidirect
16. #23775557C2semidirect
17. #23775542C2semidirect
18. #23775232C2semidirect
19. #23774860C2semidirect
20. #23774810C2semidirect
21. #23774801C2semidirect
22. #23774695C2semidirect
23. #23774660C2semidirect
24. #23774579C2semidirect
25. #23773682C2semidirect
26. #23773591C2semidirect
27. #23773447C2semidirect
28. #23773246C2semidirect
29. #23773226C2semidirect
30. #23772545C2semidirect
31. C79×#3077C2semidirect
35. #19099290C22semidirect
38. #19099276C22semidirect
40. #19099269C22semidirect
41. #19099266C22semidirect
46. #19099252C22semidirect
47. #19099251C22semidirect
56. #19099190C22semidirect
57. #19099190C22semidirect
58. #19099187C22semidirect
59. #19099187C22semidirect
70. #19099097C22semidirect
75. #19098971C22semidirect
76. #19098970C22semidirect
77. #19098964C22semidirect
78. #19098962C22semidirect
79. #19098962C22semidirect
80. #19098960C22semidirect
82. #19098921C22semidirect
83. #19098920C22semidirect
84. #19098920C22semidirect
85. #19098916C22semidirect
87. #19098907C22semidirect
88. #19098906C22semidirect
89. #19098904C22semidirect
90. #19098904C22semidirect
91. #19098898C22semidirect
92. #19098895C22semidirect
93. #19098895C22semidirect
94. #19098890C22semidirect
95. #19098890C22semidirect
99. #19098885C22semidirect
100. #19098883C22semidirect
101. #19098881C22semidirect
103. #19098880C22semidirect
104. #19098878C22semidirect
105. #19098873C22semidirect
106. #19098871C22semidirect
107. #19098871C22semidirect
108. #19098869C22semidirect
111. #19098864C22semidirect
112. #19098864C22semidirect
114. #19098863C22semidirect
115. #19098862C22semidirect
116. #19098862C22semidirect
117. #19098857C22semidirect
118. #19098857C22semidirect
119. #19098855C22semidirect
120. #19098852C22semidirect
121. #19098850C22semidirect
122. #19098845C22semidirect
123. #19098842C22semidirect
126. #19098840C22semidirect
127. #19098821C22semidirect
128. #19098817C22semidirect
130. #19098810C22semidirect
132. #19098809C22semidirect
134. #19098808C22semidirect
135. #19098805C22semidirect
137. #19098798C22semidirect
138. #19098793C22semidirect
139. #19098786C22semidirect
140. #19098786C22semidirect
141. #19098784C22semidirect
142. #19098779C22semidirect
143. #19098779C22semidirect
145. #19098778C22semidirect
146. #19098777C22semidirect
155. #19098690C22semidirect
156. #19098687C22semidirect
159. #19098669C22semidirect
160. #19098662C22semidirect
163. #19098650C22semidirect
165. C4×#11929612C22semidirect
166. #19098645C22semidirect
168. C4×#11929609C22semidirect
169. #19098640C22semidirect
171. #19098639C22semidirect
173. #19098632C22semidirect
174. #19098628C22semidirect
175. #19098623C22semidirect
176. #19098623C22semidirect
177. #19098616C22semidirect
178. #19098604C22semidirect
179. #19098602C22semidirect
180. #19098598C22semidirect
181. #107×D79C22semidirect
182. #19098588C22semidirect
183. #19098588C22semidirect
188. #533×C79C22semidirect
192. #478×C79C22semidirect
193. #478×C79C22semidirect
195. #476×C79C22semidirect
197. #474×C79C22semidirect
198. #428×C79C22semidirect
199. #428×C79C22semidirect
200. #423×C79C22semidirect
863. #3077D79semidirect
865. C79#62175semidirect
902. #533C2×D79semidirect
955. #478C2×D79semidirect
956. #478C2×D79semidirect
963. #476C2×D79semidirect
970. #474C2×D79semidirect
1024. #428C2×D79semidirect
1025. #428C2×D79semidirect
1030. #423C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780492
#237773402
#237763582
#237762702
#237761662
#237760632
#237759912
#237759672
#237759562
#237759312
#237758412
#237757992
#237756272
#237756122
#237755982
#237755572
#237755422
#237752322
#237748602
#237748102
#237748012
#237746952
#237746602
#237745792
#237736822
#237735912
#237734472
#237732462
#237732262
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