Finite Group Databasebeta

← #35167220

Subgroups — #35167220

Order 20224.

1884 conjugacy classes of subgroups.

The subgroup lattice has 1732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777131C211yesmaximal, characteristic, complemented
2#23777124C211yesmaximal, characteristic, complemented
3#23775905C211yesmaximal, characteristic, complemented
4#23775901C211yesmaximal, characteristic, complemented
5#23775899C211yesmaximal, characteristic, complemented
6#23775895C211yesmaximal, characteristic, complemented
7#23775876C211yesmaximal, characteristic, complemented
8#23775872C211yesmaximal, characteristic, complemented
9#23775866C211yesmaximal, characteristic, complemented
10#23775821C211yesmaximal, characteristic, complemented
11#23775817C211yesmaximal, characteristic, complemented
12#23775800C211yesmaximal, characteristic, complemented
13#23775800C211yesmaximal, characteristic, complemented
14#23775799C211yesmaximal, characteristic, complemented
15#23775796C211yesmaximal, characteristic, complemented
16#23775743C211yesmaximal, characteristic, complemented
17#23775742C211yesmaximal, characteristic, complemented
18#23773935C211yesmaximal, characteristic, complemented
19#23773357C211yesmaximal, characteristic, complemented
20#23773353C211yesmaximal, characteristic, complemented
21#23773337C211yesmaximal, characteristic, complemented
22#23773335C211yesmaximal, characteristic, complemented
23#23773230C211yesmaximal, characteristic, complemented
24#23773226C211yesmaximal, characteristic, complemented
25#23773046C211yesmaximal, characteristic, complemented
26#466×D79C211yesmaximal, characteristic, complemented
27#23772249C211yesmaximal, characteristic, complemented
28#23772091C211yesmaximal, characteristic, complemented
29#23771999C211yesmaximal, characteristic, complemented
30C2×#19098598C211yesmaximal, characteristic, complemented
31C79×#3345C211yesmaximal, characteristic, complemented
32C2×D8×D79C2211yescharacteristic
33C2×#14579169C2211yescharacteristic
34C22×C8×D79C2211yescharacteristic
35#19099279C2211yescharacteristic, complemented
36#19099278C2211yescharacteristic, complemented
37#19099277C2211yescharacteristic, complemented
38#19099276C2211yescharacteristic, complemented
39#19099266C2211yescharacteristic, complemented
40#19099265C2211yescharacteristic, complemented
41#19099265C2211yescharacteristic, complemented
42#19099263C2211yescharacteristic, complemented
43#19099261C2211yescharacteristic, complemented
44#19099261C2211yescharacteristic, complemented
45#19099259C2211yescharacteristic, complemented
46#19099241—21no—
47#19099240—21no—
48#19099238—21no—
49#19099236—21no—
50#19099217C2211yescharacteristic, complemented
51#19099214C2211yescharacteristic, complemented
52#19099213C2211yescharacteristic, complemented
53#19099208—21no—
54#19099205—21no—
55#19099202—21no—
56#19099201—21no—
57#19099193C2211yescharacteristic
58#19099190C2211yescharacteristic
59#19099183—21no—
60#19099179—21no—
61#19099165—21no—
62#19099165—21no—
63#19099129C2211yescharacteristic
64#19099129C2211yescharacteristic
65#19099109—21no—
66#19099108—21no—
67#19099093—21no—
68#19099090—21no—
69#19099072C2211yescharacteristic
70#121×D79C2211yescharacteristic
71#121×D79C2211yescharacteristic
72#19099044C2211yescharacteristic
73#19099043C2211yescharacteristic
74#19099035C2211yescharacteristic
75#19099035C2211yescharacteristic
76C2×#14579119C2211yescharacteristic
77C2×#14579119C2211yescharacteristic
78#19098972C2211yescharacteristic, complemented
79#19098971C2211yescharacteristic, complemented
80#19098970C2211yescharacteristic, complemented
81#19098967C2211yescharacteristic, complemented
82#19098966C2211yescharacteristic, complemented
83#19098963C2211yescharacteristic, complemented
84#19098962C2211yescharacteristic, complemented
85#19098890C2211yescharacteristic, complemented
86#19098890C2211yescharacteristic, complemented
87#19098889C2211yescharacteristic, complemented
88#19098889C2211yescharacteristic, complemented
89#19098889C2211yescharacteristic, complemented
90#19098889C2211yescharacteristic, complemented
91#19098888C2211yescharacteristic, complemented
92#19098887C2211yescharacteristic, complemented
93#19098886C2211yescharacteristic, complemented
94#19098886C2211yescharacteristic, complemented
95#19098886C2211yescharacteristic, complemented
96#19098886C2211yescharacteristic, complemented
97#19098885C2211yescharacteristic, complemented
98#19098885C2211yescharacteristic, complemented
99#19098884C2211yescharacteristic, complemented
100#19098883C2211yescharacteristic, complemented
101#19098882C2211yescharacteristic, complemented
102#19098882C2211yescharacteristic, complemented
103#19098881C2211yescharacteristic, complemented
104#19098880C2211yescharacteristic, complemented
105#19098879C2211yescharacteristic, complemented
106#19098878C2211yescharacteristic, complemented
107#19098877C2211yescharacteristic, complemented
108#19098876C2211yescharacteristic, complemented
109#19098876C2211yescharacteristic, complemented
110#19098875C2211yescharacteristic, complemented
111#19098874C2211yescharacteristic, complemented
112#19098874C2211yescharacteristic, complemented
113#19098865C2211yescharacteristic, complemented
114#19098865C2211yescharacteristic, complemented
115#19098864C2211yescharacteristic, complemented
116#19098863C2211yescharacteristic, complemented
117#19098862C2211yescharacteristic, complemented
118#19098862C2211yescharacteristic, complemented
119#19098860C2211yescharacteristic, complemented
120#19098854C2211yescharacteristic, complemented
121#19098852C2211yescharacteristic, complemented
122#19098851C2211yescharacteristic, complemented
123#19098843C2211yescharacteristic, complemented
124#19098842C2211yescharacteristic, complemented
125#19098841C2211yescharacteristic, complemented
126#19098840C2211yescharacteristic, complemented
127#19098817C2211yescharacteristic, complemented
128#19098816C2211yescharacteristic, complemented
129#19098813C2211yescharacteristic, complemented
130#19098800C2211yescharacteristic
131#19098799C2211yescharacteristic
132#19098798C2211yescharacteristic
133#19098798C2211yescharacteristic
134#19098798C2211yescharacteristic, complemented
135#19098798C2211yescharacteristic, complemented
136#19098797C2211yescharacteristic
137#19098797C2211yescharacteristic
138#19098797C2211yescharacteristic, complemented
139#19098797C2211yescharacteristic, complemented
140#19098796C2211yescharacteristic
141#19098676C2211yescharacteristic, complemented
142#19098675C2211yescharacteristic, complemented
143#19098674C2211yescharacteristic, complemented
144C4×#11929609C2211yescharacteristic, complemented
145C4×#11929609C2211yescharacteristic, complemented
146#19098643C2211yescharacteristic, complemented
147#19098643C2211yescharacteristic, complemented
148#19098636C2211yescharacteristic, complemented
149#19098634C2211yescharacteristic, complemented
150#19098632C2211yescharacteristic, complemented
151D4×C79⋊C8C2211yescharacteristic, complemented
152#19098628C2211yescharacteristic, complemented
153(C22⋊D79)⋊C8C2211yescharacteristic, complemented
154(C22⋊D79)⋊C8C2211yescharacteristic, complemented
155#19098605C2211yescharacteristic, complemented
156#19098604C2211yescharacteristic
157#19098604C2211yescharacteristic
158#19098604C2211yescharacteristic, complemented
159#19098602C2211yescharacteristic
160#19098602C2211yescharacteristic
161#19098602C2211yescharacteristic, complemented
162#19098599C2211yescharacteristic, complemented
163#19098598C2211yescharacteristic
164#19098598C2211yescharacteristic
165#19098598C2211yescharacteristic
166#19098598C2211yescharacteristic
167#19098598C2211yescharacteristic, complemented
168#19098598C2211yescharacteristic, complemented
169#19098598C2211yescharacteristic, complemented
170#19098598C2211yescharacteristic, complemented
171#19098598C2211yescharacteristic, complemented
172C2×#14579094C2211yescharacteristic, complemented
173C2×#14579094C2211yescharacteristic, complemented
174C2×#14579094C2211yescharacteristic, complemented
175#107×D79C2211yescharacteristic
176#107×D79C2211yescharacteristic, complemented
177C2×#14579093C2211yescharacteristic, complemented
178#19098588C2211yescharacteristic
179#19098566C2211yescharacteristic
180#19098566C2211yescharacteristic
181#19098566C2211yescharacteristic
182#19098566C2211yescharacteristic
183#102×D79C2211yescharacteristic
184#102×D79C2211yescharacteristic
185#19098528C2211yescharacteristic
186#19098525C2211yescharacteristic
187#19098520C2211yescharacteristic
188#553×C79C2211yescharacteristic, complemented
189#547×C79C2211yescharacteristic, complemented
190#501×C79C2211yescharacteristic, complemented
191#482×C79C2211yescharacteristic, complemented
192#481×C79C2211yescharacteristic, complemented
193#481×C79C2211yescharacteristic, complemented
194#480×C79C2211yescharacteristic, complemented
195#478×C79C2211yescharacteristic, complemented
196#476×C79C2211yescharacteristic, complemented
197#469×C79C2211yescharacteristic, complemented
198#466×C79C2211yescharacteristic
199#442×C79C2211yescharacteristic, complemented
200#435×C79C2211yescharacteristic, complemented
201#428×C79C2211yescharacteristic, complemented
202C2×#106×C79C2211yescharacteristic, complemented
203C2×#11929624—21no—
204C2×#11929624C2311yescharacteristic
205C2×#11929623—21no—
206C2×#11929623—21no—
207C2×D4×D79—21no—
208C2×D4×D79—21no—
209C2×D4×D79C2311yescharacteristic
210C2×D4×D79C2311yescharacteristic
211C22×C4×D79C2311yescharacteristic
212C2×D632C2311yescharacteristic
213C2×#11929609C2311yescharacteristic
214C2×#11929609C2311yescharacteristic
215D8×D79—24no—
216#14579169—24no—
217C2×#11929607C2311yescharacteristic
218C2×#11929607C2311yescharacteristic
219C2×#11929607C2311yescharacteristic
220C22×C79⋊C8C2311yescharacteristic
221C22×C79⋊C8C2311yescharacteristic
222C2×C8×D79—24no—
223C2×C8×D79C2311yescharacteristic
224C2×C8×D79C2311yescharacteristic
225C2×C8×D79C2311yescharacteristic
226C2×C8×D79C2311yescharacteristic
227C2×C8×D79C2311yescharacteristic
228#14579161C2311yescharacteristic
229#14579160—21no—
230#14579160C2311yescharacteristic
231#14579160C2311yescharacteristic
232#14579159—21no—
233#14579157—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#14579152C2311yescharacteristic
244#14579152C2311yescharacteristic
245#14579151—21no—
246#14579151—21no—
247#14579150—21no—
248#14579150—21no—
249#14579149—21no—
250#14579148—21no—
251#14579147—21no—
252#14579147—21no—
253#14579147—21no—
254#14579147—21no—
255#14579147—21no—
256#14579147—21no—
257#14579146—21no—
258#14579146—21no—
259#14579146—21no—
260#14579146—21no—
261#14579146D411yescharacteristic
262#14579145—21no—
263#14579145—21no—
264#14579145—21no—
265#14579145—21no—
266#14579144—21no—
267#14579144—21no—
268#14579143—21no—
269#14579143—21no—
270#14579143D411yescharacteristic
271#14579142—21no—
272#14579141—21no—
273#14579141—21no—
274#14579139—21no—
275#14579139—21no—
276#14579139—21no—
277#14579139D411yescharacteristic
278#14579138—21no—
279#14579138D411yescharacteristic
280#14579137—21no—
281#14579136—21no—
282#14579136—21no—
283#14579136C2311yescharacteristic
284#14579136C2311yescharacteristic
285#14579136C2311yescharacteristic
286#14579136C2311yescharacteristic
287#14579135—21no—
288#14579135—21no—
289#14579135—21no—
290#14579135C2311yescharacteristic
291#14579135C2311yescharacteristic
292#14579135C2311yescharacteristic
293#14579135C2311yescharacteristic
294#14579134—21no—
295#14579134—21no—
296#14579134—21no—
297#14579134—21no—
298#14579134D411yescharacteristic
299#14579133—21no—
300#14579133—21no—
301#14579133—21no—
302#14579133—21no—
303#14579133—21no—
304#14579133—21no—
305#14579133D411yescharacteristic
306#14579132C2311yescharacteristic
307#14579132C2311yescharacteristic
308#14579132C2311yescharacteristic
309#14579132C2311yescharacteristic
310#14579131—21no—
311#14579131—21no—
312#14579131D411yescharacteristic
313#14579129—21no—
314#14579129—21no—
315#14579129D411yescharacteristic
316C4×Dic158—21no—
317#14579126—21no—
318C4×D316—21no—
319C4×D316C2311yescharacteristic
320C4×D316C2311yescharacteristic
321C4×D316C2311yescharacteristic
322D4×Dic79—21no—
323D4×Dic79—21no—
324D4×Dic79C2311yescharacteristic
325D4×Dic79C2311yescharacteristic
326#14579123—21no—
327#14579123—21no—
328#14579123C2311yescharacteristic
329#14579123C2311yescharacteristic
330C4×C22⋊D79—21no—
331C4×C22⋊D79—21no—
332C4×C22⋊D79—21no—
333C4×C22⋊D79—21no—
334C4×C22⋊D79—21no—
335C4×C22⋊D79—21no—
336C4×C22⋊D79—21no—
337C4×C22⋊D79C2311yescharacteristic
338C4×C22⋊D79C2311yescharacteristic
339(C22⋊D79)⋊C4—21no—
340(C22⋊D79)⋊C4—21no—
341(C22⋊D79)⋊C4—21no—
342(C22⋊D79)⋊C4—21no—
343(C22⋊D79)⋊C4—21no—
344#14579120—21no—
345#14579120C2311yescharacteristic
346#14579119—21no—
347#14579119—21no—
348#14579119—21no—
349#14579119—21no—
350#14579119—21no—
351#14579119C2311yescharacteristic
352#14579119C2311yescharacteristic
353#14579119C2311yescharacteristic
354#14579119C2311yescharacteristic
355#14579119C2311yescharacteristic
356#14579119C2311yescharacteristic
357#14579119C2311yescharacteristic
358#14579119C2311yescharacteristic
359#14579119C2311yescharacteristic
360#14579119C2311yescharacteristic
361#14579118—21no—
362#14579118C2311yescharacteristic
363#14579117—21no—
364C2×C4⋊Dic79C2311yescharacteristic
365C2×C4⋊Dic79C2311yescharacteristic
366C2×C4⋊Dic79C2311yescharacteristic
367C4⋊C4×D79C2311yescharacteristic
368C4⋊C4×D79C2311yescharacteristic
369C4⋊C4×D79C2311yescharacteristic
370C4⋊C4×D79C2311yescharacteristic
371C2×(C2×D79)⋊C4—21no—
372C2×(C2×D79)⋊C4—21no—
373C2×(C2×D79)⋊C4—21no—
374C2×(C2×D79)⋊C4—21no—
375C22⋊C4×D79—21no—
376C22⋊C4×D79—21no—
377C22⋊C4×D79—21no—
378C22⋊C4×D79—21no—
379C2×C4×Dic79—21no—
380C2×C4×Dic79—21no—
381#14579095C2311yescharacteristic
382#14579095C2311yescharacteristic
383#14579095C2311yescharacteristic
384#14579094C2311yescharacteristic
385#14579094C2311yescharacteristic
386#14579094C2311yescharacteristic
387#14579094C2311yescharacteristic
388#14579094C2311yescharacteristic
389#14579094C2311yescharacteristic
390#14579094C2311yescharacteristic
391#14579094C2311yescharacteristic
392#14579094C2311yescharacteristic
393#14579094C2311yescharacteristic
394#14579094C2311yescharacteristic
395#14579094C2311yescharacteristic
396#14579094C2311yescharacteristic
397#14579094C2311yescharacteristic
398#14579093C2311yescharacteristic
399#14579093C2311yescharacteristic
400#14579093C2311yescharacteristic
401#14579093C2311yescharacteristic
402#14579093C2311yescharacteristic
403#14579093C2311yescharacteristic
404#14579092C2311yescharacteristic
405#14579092C2311yescharacteristic
406#14579092C2311yescharacteristic
407#14579092C2311yescharacteristic
408C4⋊(C79⋊C8)C2311yescharacteristic
409Dic79⋊C8C2311yescharacteristic
410Dic79⋊C8C2311yescharacteristic
411#14579083C2311yescharacteristic
412#14579083C2311yescharacteristic
413#14579083C2311yescharacteristic
414#14579083C2311yescharacteristic
415#14579083C2311yescharacteristic
416#14579083C2311yescharacteristic
417#14579082C2311yescharacteristic
418#14579082C2311yescharacteristic
419#14579082C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579081C2311yescharacteristic
424#14579081C2311yescharacteristic
425#14579081C2311yescharacteristic
426#14579081C2311yescharacteristic
427#14579081C2311yescharacteristic
428#14579081C2311yescharacteristic
429C22⋊(C79⋊C8)C2311yescharacteristic
430C22⋊(C79⋊C8)C2311yescharacteristic
431(C2×D79)⋊C8C2311yescharacteristic
432(C2×D79)⋊C8C2311yescharacteristic
433(C2×D79)⋊C8C2311yescharacteristic
434(C2×D79)⋊C8C2311yescharacteristic
435#14579071C2311yescharacteristic
436C4×C79⋊C8C2311yescharacteristic
437C8×Dic79C2311yescharacteristic
438C2×#41×C79—21no—
439C2×D8×C79C2311yescharacteristic
440C2×M16×C79C2311yescharacteristic
441C22×C8×C79C2311yescharacteristic
442C4⋊Q8×C79C2311yescharacteristic
443#126×C79—21no—
444#125×C79C2311yescharacteristic
445#123×C79—21no—
446#123×C79—21no—
447#123×C79—21no—
448C22⋊Q8×C79—21no—
449#121×C79—21no—
450#121×C79C2311yescharacteristic
451#121×C79C2311yescharacteristic
452#121×C79C2311yescharacteristic
453#121×C79C2311yescharacteristic
454C4×D4×C79—21no—
455C4×D4×C79C2311yescharacteristic
456C4×D4×C79C2311yescharacteristic
457C4×D4×C79C2311yescharacteristic
458#117×C79C2311yescharacteristic
459C2×C4⋊C4×C79C2311yescharacteristic
460C2×C4⋊C4×C79C2311yescharacteristic
461C2×C4⋊C4×C79C2311yescharacteristic
462#107×C79C2311yescharacteristic
463#107×C79C2311yescharacteristic
464#107×C79C2311yescharacteristic
465#106×C79C2311yescharacteristic
466#106×C79C2311yescharacteristic
467#106×C79C2311yescharacteristic
468#106×C79C2311yescharacteristic
469#106×C79C2311yescharacteristic
470#106×C79C2311yescharacteristic
471C4⋊C8×C79C2311yescharacteristic
472#102×C79C2311yescharacteristic
473#102×C79C2311yescharacteristic
474#102×C79C2311yescharacteristic
475#102×C79C2311yescharacteristic
476#102×C79C2311yescharacteristic
477#102×C79C2311yescharacteristic
478C22⋊C8×C79C2311yescharacteristic
479C22⋊C8×C79C2311yescharacteristic
480#97×C79C2311yescharacteristic
481C23×D79—21no—
482C23×D79—21no—
483C23×D79C2×D411yescharacteristic
484#11929624—22no—
485#11929624—22no—
486#11929624—82no—
487#11929623—82no—
488#11929623—82no—
489C2×Dic158—21no—
490C2×Dic158—21no—
491C2×Dic158—21no—
492C2×Dic158C2×D411yescharacteristic
493C2×D316—21no—
494C2×D316—21no—
495C2×D316—21no—
496C2×D316—21no—
497C2×D316C2×D411yescharacteristic
498C2×D316C2×D411yescharacteristic
499C2×D316C2411yescharacteristic
500C2×D316C2411yescharacteristic
501C2×C22⋊D79—21no—
502C2×C22⋊D79—21no—
503C2×C22⋊D79—21no—
504C2×C22⋊D79—21no—
505C2×C22⋊D79—21no—
506C2×C22⋊D79—21no—
507C2×C22⋊D79—21no—
508C2×C22⋊D79—21no—
509C2×C22⋊D79—21no—
510C2×C22⋊D79—21no—
511C2×C22⋊D79C2×D411yescharacteristic
512C2×C22⋊D79C2×D411yescharacteristic
513C2×C22⋊D79C2×D411yescharacteristic
514C2×C22⋊D79C2×D411yescharacteristic
515D4×D79—22no—
516D4×D79—22no—
517D4×D79—22no—
518D4×D79—22no—
519D4×D79—82no—
520D4×D79—82no—
521C22×Dic79—21no—
522C22×Dic79—21no—
523C22×Dic79—21no—
524C22×Dic79—21no—
525C22×Dic79—21no—
526C22×Dic79C2×D411yescharacteristic
527C2×C4×D79—22no—
528C2×C4×D79—22no—
529C2×C4×D79—21no—
530C2×C4×D79—21no—
531C2×C4×D79—21no—
532C2×C4×D79—21no—
533C2×C4×D79—21no—
534C2×C4×D79—21no—
535C2×C4×D79—21no—
536C2×C4×D79—21no—
537C2×C4×D79C2×D411yescharacteristic
538C2×C4×D79C2×D411yescharacteristic
539C2×C4×D79C2411yescharacteristic
540C2×C4×D79C2411yescharacteristic
541C2×C4×D79C2411yescharacteristic
542D632—22no—
543#11929609—22no—
544#11929609—22no—
545#11929607—22no—
546#11929607—22no—
547#11929607—22no—
548C2×C79⋊C8—22no—
549C2×C79⋊C8—22no—
550C2×C79⋊C8C2411yescharacteristic
551C2×C79⋊C8C2411yescharacteristic
552C2×C79⋊C8C2411yescharacteristic
553C2×C79⋊C8C2411yescharacteristic
554C8×D79—22no—
555C8×D79—22no—
556C8×D79—22no—
557C8×D79—22no—
558C8×D79#4114yescomplemented
559C4⋊Dic79—21no—
560C4⋊Dic79—21no—
561C4⋊Dic79—21no—
562C4⋊Dic79—21no—
563C4⋊Dic79—21no—
564C4⋊Dic79—21no—
565C4⋊Dic79C2×D411yescharacteristic
566C4⋊Dic79C2411yescharacteristic
567C4⋊Dic79C2411yescharacteristic
568C4⋊Dic79C2411yescharacteristic
569C4⋊Dic79C2411yescharacteristic
570C4⋊Dic79C2411yescharacteristic
571C4⋊Dic79C2411yescharacteristic
572Dic79⋊C4—21no—
573Dic79⋊C4—21no—
574Dic79⋊C4—21no—
575Dic79⋊C4—21no—
576Dic79⋊C4—21no—
577Dic79⋊C4—21no—
578Dic79⋊C4—21no—
579Dic79⋊C4—21no—
580Dic79⋊C4—21no—
581Dic79⋊C4—21no—
582Dic79⋊C4C2×D411yescharacteristic
583Dic79⋊C4C2×D411yescharacteristic
584Dic79⋊C4C2×D411yescharacteristic
585Dic79⋊C4C2×D411yescharacteristic
586C22⋊Dic79—21no—
587C22⋊Dic79—21no—
588C22⋊Dic79—21no—
589C22⋊Dic79—21no—
590C22⋊Dic79—21no—
591C22⋊Dic79—21no—
592C22⋊Dic79—21no—
593C22⋊Dic79C2×D411yescharacteristic
594C22⋊Dic79C2×D411yescharacteristic
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)⋊C4—21no—
607(C2×D79)⋊C4—21no—
608(C2×D79)⋊C4—21no—
609(C2×D79)⋊C4—21no—
610(C2×D79)⋊C4—21no—
611(C2×D79)⋊C4—21no—
612(C2×D79)⋊C4—21no—
613(C2×D79)⋊C4—21no—
614(C2×D79)⋊C4—21no—
615(C2×D79)⋊C4—21no—
616(C2×D79)⋊C4—21no—
617(C2×D79)⋊C4C2×D411yescharacteristic
618(C2×D79)⋊C4C2×D411yescharacteristic
619(C2×D79)⋊C4C2×D411yescharacteristic
620(C2×D79)⋊C4C2×D411yescharacteristic
621(C2×D79)⋊C4C2×D411yescharacteristic
622(C2×D79)⋊C4C2×D411yescharacteristic
623C4×Dic79—21no—
624C4×Dic79—21no—
625C4×Dic79—21no—
626C4×Dic79—21no—
627C4×Dic79—21no—
628C4×Dic79—21no—
629C4×Dic79—21no—
630C4×Dic79—21no—
631C4×Dic79—21no—
632C4×Dic79—21no—
633C4×Dic79—21no—
634C4×Dic79C2411yescharacteristic
635#41×C79—82no—
636C2×Q8×C79—21no—
637C2×D4×C79—21no—
638C2×D4×C79—21no—
639C2×D4×C79—21no—
640C2×D4×C79—21no—
641C2×D4×C79C2×D411yescharacteristic
642C2×D4×C79C2411yescharacteristic
643C2×D4×C79C2411yescharacteristic
644C22×C4×C79—21no—
645C22×C4×C79—21no—
646C22×C4×C79—21no—
647C22×C4×C79—21no—
648C22×C4×C79—21no—
649C22×C4×C79C2411yescharacteristic
650C22×C4×C79C2411yescharacteristic
651D8×C79—22no—
652M16×C79—22no—
653C2×C8×C79—22no—
654C2×C8×C79C2411yescharacteristic
655C2×C8×C79C2411yescharacteristic
656C2×C8×C79C2411yescharacteristic
657C2×C8×C79C2411yescharacteristic
658C4⋊C4×C79—21no—
659C4⋊C4×C79—21no—
660C4⋊C4×C79—21no—
661C4⋊C4×C79—21no—
662C4⋊C4×C79—21no—
663C4⋊C4×C79—21no—
664C4⋊C4×C79C2×D411yescharacteristic
665C4⋊C4×C79C2411yescharacteristic
666C4⋊C4×C79C2411yescharacteristic
667C4⋊C4×C79C2411yescharacteristic
668C4⋊C4×C79C2411yescharacteristic
669C4⋊C4×C79C2411yescharacteristic
670C4⋊C4×C79C2411yescharacteristic
671C22⋊C4×C79—21no—
672C22⋊C4×C79—21no—
673C22⋊C4×C79—21no—
674C22⋊C4×C79—21no—
675C22⋊C4×C79—21no—
676C22⋊C4×C79—21no—
677C22⋊C4×C79—21no—
678C22⋊C4×C79C2×D411yescharacteristic
679C22⋊C4×C79C2×D411yescharacteristic
680C42×C79—21no—
681C42×C79C2411yescharacteristic
682C23×C79—21no—
683C23×C79—21no—
684C23×C79C22×D411yescharacteristic
685C23×C79C22×D411yescharacteristic
686C22×D79—22no—
687C22×D79—22no—
688C22×D79—21no—
689C22×D79—21no—
690C22×D79—41no—
691C22×D79—42no—
692C22×D79—42no—
693C22×D79—81no—
694C22×D79—81no—
695C22×D79—81no—
696C22×D79—81no—
697C22×D79C22×D411yescharacteristic
698C22×D79C22×D411yescharacteristic
699C22×D79C22×D411yescharacteristic
700Q8×C79—81no—
701D4×C79—22no—
702D4×C79—21no—
703D4×C79—21no—
704D4×C79—21no—
705D4×C79—21no—
706D4×C79—42no—
707D4×C79—42no—
708D4×C79—81no—
709D4×C79—81no—
710C2×C4×C79—21no—
711C2×C4×C79—21no—
712C2×C4×C79—21no—
713C2×C4×C79—21no—
714C2×C4×C79—21no—
715C2×C4×C79—21no—
716C2×C4×C79—21no—
717C2×C4×C79—21no—
718C2×C4×C79—21no—
719C2×C4×C79—21no—
720C2×C4×C79—42no—
721C2×C4×C79—81no—
722C2×C4×C79—81no—
723C2×C4×C79—81no—
724C2×C4×C79—81no—
725C2×C4×C79C22×D411yescharacteristic
726C2×C4×C79C22×D411yescharacteristic
727C2×C4×C79C22×D411yescharacteristic
728C2×C4×C79C22×D411yescharacteristic
729C2×C4×C79C2511yescharacteristic
730C22⋊D79—22no—
731C22⋊D79—22no—
732C22⋊D79—22no—
733C22⋊D79—41no—
734C22⋊D79—42no—
735C22⋊D79—42no—
736C22⋊D79—42no—
737C22⋊D79—42no—
738C22⋊D79—81no—
739C22⋊D79—81no—
740C22⋊D79—81no—
741C22⋊D79—81no—
742C22⋊D79—81no—
743C22⋊D79—81no—
744C2×Dic79—22no—
745C2×Dic79—21no—
746C2×Dic79—21no—
747C2×Dic79—21no—
748C2×Dic79—21no—
749C2×Dic79—21no—
750C2×Dic79—21no—
751C2×Dic79—42no—
752C2×Dic79—81no—
753C2×Dic79—81no—
754C2×Dic79—81no—
755C2×Dic79—81no—
756C2×Dic79C22×D411yescharacteristic
757C2×Dic79C22×D411yescharacteristic
758C2×Dic79C22×D411yescharacteristic
759C2×Dic79C22×D411yescharacteristic
760C2×Dic79C22×D411yescharacteristic
761D316—22no—
762D316—21no—
763D316—21no—
764D316—21no—
765D316—21no—
766D316—41no—
767D316—81no—
768D316—81no—
769D316—81no—
770D316—81no—
771C4×D79—22no—
772C4×D79—21no—
773C4×D79—21no—
774C4×D79—21no—
775C4×D79—21no—
776C4×D79—22no—
777C4×D79—81no—
778C4×D79—81no—
779C4×D79—81no—
780C4×D79—81no—
781C4×D79—81no—
782C4×D79—81no—
783C4×D79—81no—
784C4×D79—81no—
785C4×D79C2×#4112yes—
786C4×D792−1+412yes—
787Dic158—22no—
788Dic158—81no—
789Dic158—81no—
790Dic158—81no—
791C8×C79—21no—
792C8×C79—21no—
793C8×C79—21no—
794C8×C79C2×#4112yes—
795C79⋊C8—21no—
796C79⋊C8—21no—
797C79⋊C8—21no—
798C79⋊C8C2×#4112yes—
799C22×C79—21no—
800C22×C79—21no—
801C22×C79—21no—
802C22×C79—21no—
803C22×C79—21no—
804C22×C79—41no—
805C22×C79—41no—
806C22×C79—41no—
807C22×C79—41no—
808C22×C79—41no—
809C22×C79—41no—
810C22×C79#57612yes—
811C22×C79C23×D411yescharacteristic
812C2×D79—21no—
813C2×D79—21no—
814C2×D79—21no—
815C2×D79—21no—
816C2×D79—21no—
817C2×D79—21no—
818C2×D79—21no—
819C2×D79—21no—
820C2×D79—44no—
821C2×D79—41no—
822C2×D79—41no—
823C2×D79—41no—
824C2×D79—41no—
825C2×D79—41no—
826C2×D79—41no—
827C2×D79—162no—
828C2×D79—162no—
829C2×D79#54712yes—
830C4×C79—21no—
831C4×C79—21no—
832C4×C79—21no—
833C4×C79—21no—
834C4×C79—41no—
835C4×C79—41no—
836C4×C79—41no—
837C4×C79—41no—
838C4×C79—41no—
839C4×C79—41no—
840C4×C79C22×#4111yescharacteristic
841C4×C79C2×2−1+411yescharacteristic
842Dic79—21no—
843Dic79—21no—
844Dic79—21no—
845Dic79—21no—
846Dic79—41no—
847Dic79—41no—
848Dic79—41no—
849Dic79—41no—
850Dic79—41no—
851Dic79—41no—
852Dic79#54712yes—
853#61262—791nomaximal, Sylow
854C2×C79—22no—
855C2×C79—41no—
856C2×C79—81no—
857C2×C79—81no—
858C2×C79C2×#54711yescharacteristic
859C2×C79C2×#57611yescharacteristic
860C2×C79#358411yescharacteristic
861D79—22no—
862D79—41no—
863D79—41no—
864D79—81no—
865D79—81no—
866#3494—791no—
867#3494—791no—
868#3347—791no—
869#3347—791no—
870#3347—791no—
871#3347—791no—
872#3345—791no—
873#3345—791no—
874#3345—791no—
875#3345D7911yescharacteristic, complemented
876#3341—791no—
877#3341—791no—
878#3339—791no—
879#3339—791no—
880#3339—791no—
881#3339—791no—
882#3334—791no—
883#3334—791no—
884#3164—791no—
885#3096—791no—
886#3096—791no—
887#3094—791no—
888#3094—791no—
889#3081—791no—
890#3081—791no—
891#3058—791no—
892C2×#466—791no—
893#2948—791no—
894#2929—791no—
895#2913—791no—
896C2×#427—791no—
897C79#6126211yescharacteristic, complemented, Sylow
898C22×D8—791no—
899C2×#131—791no—
900C23×C8—791no—
901#555—791no—
902#555—791no—
903#555—791no—
904#555—791no—
905#553—791no—
906#553—791no—
907#553—791no—
908#553—791no—
909#553—791no—
910#553—791no—
911#553—791no—
912#553C2×D7911yescharacteristic, complemented
913#551—1581no—
914#551—1581no—
915#551—1581no—
916#551—1581no—
917#547—791no—
918#547—791no—
919#547—791no—
920#547C2×D7911yescharacteristic, complemented
921#546—1581no—
922#546—1581no—
923#546—1581no—
924#546—1581no—
925#544—791no—
926#544—791no—
927#542—1581no—
928#542—1581no—
929#540—1581no—
930#540—1581no—
931#535—791no—
932#535—791no—
933#532—1581no—
934#532—1581no—
935#529—1581no—
936#529—1581no—
937#525—791no—
938C2×#121—791no—
939C2×#121—791no—
940#520—791no—
941#520—791no—
942#518—791no—
943#518—791no—
944C2×#117—791no—
945C2×#117—791no—
946#501—791no—
947#501—791no—
948#501—791no—
949#501C2×D7911yescharacteristic, complemented
950#500—791no—
951#500—791no—
952#499—791no—
953#499—791no—
954#482—791no—
955#482—791no—
956#482—791no—
957#482—791no—
958#482—791no—
959#482—791no—
960#482—791no—
961#482—791no—
962#482—791no—
963#482—791no—
964#482—791no—
965#482—791no—
966#482—791no—
967#482—791no—
968#482—791no—
969#482C2×D7911yescharacteristic, complemented
970#481—791no—
971#481—791no—
972#481—791no—
973#481—791no—
974#481—791no—
975#481—791no—
976#481C2×D7911yescharacteristic, complemented
977#481C2×D7911yescharacteristic, complemented
978#480—791no—
979#480—791no—
980#480—791no—
981#480—791no—
982#480—791no—
983#480—791no—
984#480—791no—
985#480C2×D7911yescharacteristic, complemented
986#478—791no—
987#478—791no—
988#478—791no—
989#478—791no—
990#478—791no—
991#478—791no—
992#478—791no—
993#478C2×D7911yescharacteristic, complemented
994#476—791no—
995#476—791no—
996#476—791no—
997#476C2×D7911yescharacteristic, complemented
998#474—791no—
999#474—791no—
1000#474—791no—
1001#474—791no—
1002#469—791no—
1003#469—791no—
1004#469—791no—
1005#469C2×D7911yescharacteristic, complemented
1006#466—791no—
1007#466—791no—
1008#466—791no—
1009#466—791no—
1010#466—791no—
1011#466—791no—
1012#466—791no—
1013#466—791no—
1014#466—791no—
1015#466—791no—
1016#466—791no—
1017#466C2×D7911yescharacteristic
1018#442—791no—
1019#442—791no—
1020#442—791no—
1021#442C2×D7911yescharacteristic, complemented
1022C4×D8—791no—
1023C4×D8—791no—
1024C4×D8—791no—
1025C4×D8—791no—
1026#435—791no—
1027#435—791no—
1028#435—791no—
1029#435C2×D7911yescharacteristic, complemented
1030C8×D4—791no—
1031C8×D4—791no—
1032C8×D4—791no—
1033C8×D4—791no—
1034#428—791no—
1035#428—791no—
1036#428—791no—
1037#428—791no—
1038#428—791no—
1039#428—791no—
1040#428—791no—
1041#428C2×D7911yescharacteristic, complemented
1042#427—791no—
1043#427—791no—
1044#427—791no—
1045#427—791no—
1046#427—791no—
1047#427—791no—
1048#427—791no—
1049#427—791no—
1050#427—791no—
1051#427—791no—
1052C2×#107—791no—
1053C2×#107—791no—
1054C2×#107—791no—
1055C2×#107—791no—
1056C2×#107—791no—
1057C2×#106—791no—
1058C2×#106C2×D7911yescharacteristic, complemented
1059#424—791no—
1060#418—791no—
1061#418—791no—
1062#418—791no—
1063#418—791no—
1064C2×#102—791no—
1065C2×#102—791no—
1066#408—791no—
1067#407—791no—
1068#405—791no—
1069C2×#41—21no—
1070C2×#41—791no—
1071C2×#41—1581no—
1072C2×#41—1581no—
1073C2×#41—1581no—
1074C22×D4—791no—
1075C22×D4—791no—
1076C22×D4—1581no—
1077C22×D4—1581no—
1078C23×C4—791no—
1079C2×D8—791no—
1080C2×D8—791no—
1081C2×D8—791no—
1082C2×D8—1584no—
1083C2×D8C22×D7911yescharacteristic
1084#131—1584no—
1085C2×M16—791no—
1086C2×M16—791no—
1087C2×M16—791no—
1088C2×M16C22×D7911yescharacteristic
1089C22×C8—791no—
1090C22×C8—791no—
1091C22×C8—791no—
1092C22×C8—791no—
1093C22×C8—791no—
1094C22×C8—791no—
1095C22×C8—791no—
1096C22×C8—1584no—
1097C22×C8C22×D7911yescharacteristic
1098C4⋊Q8—791no—
1099C4⋊Q8—791no—
1100C4⋊Q8—791no—
1101C4⋊Q8—1581no—
1102C4⋊Q8—1581no—
1103C4⋊Q8C22×D7911yescharacteristic
1104#127—1581no—
1105#127—1581no—
1106#126—21no—
1107#126—1581no—
1108#126—1581no—
1109#126—1581no—
1110#126—1581no—
1111#126—1581no—
1112#126—1581no—
1113#126—1581no—
1114#125—791no—
1115#125—791no—
1116#125—791no—
1117#125—1581no—
1118#125—1581no—
1119#125C22×D7911yescharacteristic
1120#124—1581no—
1121#124—1581no—
1122#124—1581no—
1123#124—1581no—
1124#124—1581no—
1125#124—1581no—
1126#124—1581no—
1127#124—1581no—
1128#124—1581no—
1129#124—1581no—
1130#123—21no—
1131#123—21no—
1132#123—21no—
1133#123—791no—
1134#123—791no—
1135#123—1581no—
1136#123—1581no—
1137#123—1581no—
1138#123—1581no—
1139#123—1581no—
1140#123—1581no—
1141#123—1581no—
1142#123—1581no—
1143#123—1581no—
1144#123—1581no—
1145#123—1581no—
1146#123—1581no—
1147#123—1581no—
1148C22⋊Q8—21no—
1149C22⋊Q8—791no—
1150C22⋊Q8—791no—
1151C22⋊Q8—1581no—
1152C22⋊Q8—1581no—
1153C22⋊Q8—1581no—
1154C22⋊Q8—1581no—
1155C22⋊Q8—1581no—
1156C22⋊Q8—1581no—
1157C22⋊Q8—1581no—
1158#121—21no—
1159#121—791no—
1160#121—791no—
1161#121—791no—
1162#121—791no—
1163#121—791no—
1164#121—791no—
1165#121—791no—
1166#121—791no—
1167#121—791no—
1168#121—791no—
1169#121—791no—
1170#121—791no—
1171#121—791no—
1172#121—791no—
1173#121—1581no—
1174#121—1581no—
1175#121—1581no—
1176#121—1581no—
1177#121—1581no—
1178#121—1581no—
1179#121—1581no—
1180#121—1581no—
1181#121—1581no—
1182#121—1581no—
1183#121—1581no—
1184#121—1581no—
1185#121—1581no—
1186#121—1581no—
1187#121—1581no—
1188#121C22×D7911yescharacteristic
1189#121C22×D7911yescharacteristic
1190#121C22×D7911yescharacteristic
1191#121C22×D7911yescharacteristic
1192#120—791no—
1193#120—791no—
1194#120—1581no—
1195#120—1581no—
1196#120—1581no—
1197#120—1581no—
1198C4×Q8—1581no—
1199C4×Q8—1581no—
1200C4×D4—21no—
1201C4×D4—791no—
1202C4×D4—791no—
1203C4×D4—791no—
1204C4×D4—791no—
1205C4×D4—791no—
1206C4×D4—791no—
1207C4×D4—791no—
1208C4×D4—791no—
1209C4×D4—791no—
1210C4×D4—1581no—
1211C4×D4—1581no—
1212C4×D4—1581no—
1213C4×D4—1581no—
1214C4×D4—1581no—
1215C4×D4—1581no—
1216C4×D4—1581no—
1217C4×D4—1581no—
1218C4×D4—1581no—
1219C4×D4—1581no—
1220C4×D4—1581no—
1221C4×D4—1581no—
1222C4×D4—1581no—
1223C4×D4—1581no—
1224C4×D4—1581no—
1225C4×D4—1581no—
1226C4×D4—1581no—
1227C4×D4C22×D7911yescharacteristic
1228C4×D4C22×D7911yescharacteristic
1229C4×D4C22×D7911yescharacteristic
1230#117—791no—
1231#117—791no—
1232#117—791no—
1233#117—791no—
1234#117—791no—
1235#117—791no—
1236#117—791no—
1237#117—791no—
1238#117—791no—
1239#117—791no—
1240#117—791no—
1241#117—791no—
1242#117—1581no—
1243#117—1581no—
1244#117—1581no—
1245#117—1581no—
1246#117—1581no—
1247#117—1581no—
1248#117—1581no—
1249#117—1581no—
1250#117C22×D7911yescharacteristic
1251C2×C4⋊C4—791no—
1252C2×C4⋊C4—791no—
1253C2×C4⋊C4—791no—
1254C2×C4⋊C4—791no—
1255C2×C4⋊C4—791no—
1256C2×C4⋊C4—791no—
1257C2×C4⋊C4—791no—
1258C2×C4⋊C4C22×D7911yescharacteristic
1259C2×C4⋊C4C22×D7911yescharacteristic
1260C2×C4⋊C4C22×D7911yescharacteristic
1261C2×C22⋊C4—1581no—
1262C2×C22⋊C4—1581no—
1263C2×C22⋊C4—1581no—
1264C2×C22⋊C4—1581no—
1265C2×C22⋊C4—1581no—
1266C2×C22⋊C4—1581no—
1267C2×C22⋊C4—1581no—
1268C2×C22⋊C4—1581no—
1269C2×C42—1581no—
1270C2×C42—1581no—
1271#107—791no—
1272#107—791no—
1273#107—791no—
1274#107—791no—
1275#107—791no—
1276#107—791no—
1277#107—791no—
1278#107—791no—
1279#107—791no—
1280#107—791no—
1281#107—791no—
1282#107—791no—
1283#107—791no—
1284#107—791no—
1285#107—791no—
1286#107—791no—
1287#107—791no—
1288#107C22×D7911yescharacteristic
1289#107C22×D7911yescharacteristic
1290#107C22×D7911yescharacteristic
1291#106—791no—
1292#106—791no—
1293#106—791no—
1294#106—791no—
1295#106—791no—
1296#106—791no—
1297#106—791no—
1298#106—791no—
1299#106—791no—
1300#106—791no—
1301#106C22×D7911yescharacteristic
1302#106C22×D7911yescharacteristic
1303#106C22×D7911yescharacteristic
1304#106C22×D7911yescharacteristic
1305#106C22×D7911yescharacteristic
1306#106C22×D7911yescharacteristic
1307C4⋊C8—791no—
1308C4⋊C8—791no—
1309C4⋊C8—791no—
1310C4⋊C8C22×D7911yescharacteristic
1311#102—791no—
1312#102—791no—
1313#102—791no—
1314#102—791no—
1315#102—791no—
1316#102—791no—
1317#102—791no—
1318#102—791no—
1319#102—791no—
1320#102—791no—
1321#102—791no—
1322#102—791no—
1323#102—791no—
1324#102—791no—
1325#102—791no—
1326#102—791no—
1327#102—791no—
1328#102—791no—
1329#102C22×D7911yescharacteristic
1330#102C22×D7911yescharacteristic
1331#102C22×D7911yescharacteristic
1332#102C22×D7911yescharacteristic
1333#102C22×D7911yescharacteristic
1334#102C22×D7911yescharacteristic
1335C22⋊C8—791no—
1336C22⋊C8—791no—
1337C22⋊C8—791no—
1338C22⋊C8—791no—
1339C22⋊C8—791no—
1340C22⋊C8—791no—
1341C22⋊C8C22×D7911yescharacteristic
1342C22⋊C8C22×D7911yescharacteristic
1343#97—791no—
1344#97C22×D7911yescharacteristic
1345C4×C8—791no—
1346C4×C8—791no—
1347C24—791no—
1348C24—1581no—
1349C24—1581no—
1350#41—82no—
1351#41—6322no—
1352#41—6322no—
1353#41—6322no—
1354#41—1582no—
1355#41—1582no—
1356C2×Q8—21no—
1357C2×Q8—791no—
1358C2×Q8—1581no—
1359C2×Q8—1581no—
1360C2×Q8—1581no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—791no—
1366C2×D4—791no—
1367C2×D4—791no—
1368C2×D4—791no—
1369C2×D4—791no—
1370C2×D4—791no—
1371C2×D4—791no—
1372C2×D4—791no—
1373C2×D4—6322no—
1374C2×D4—6322no—
1375C2×D4—1581no—
1376C2×D4—1581no—
1377C2×D4—1581no—
1378C2×D4—1581no—
1379C2×D4—1582no—
1380C2×D4—1582no—
1381C2×D4—1582no—
1382C2×D4—1582no—
1383C2×D4—1581no—
1384C2×D4—1581no—
1385C2×D4—1581no—
1386C2×D4—1581no—
1387C2×D4—1581no—
1388C2×D4—1581no—
1389C2×D4—1581no—
1390C2×D4—1581no—
1391C2×D4—1581no—
1392C2×D4—1581no—
1393C2×D4D4×D7911yescharacteristic
1394C2×D4C23×D7911yescharacteristic
1395C2×D4C23×D7911yescharacteristic
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—791no—
1402C22×C4—791no—
1403C22×C4—791no—
1404C22×C4—791no—
1405C22×C4—791no—
1406C22×C4—791no—
1407C22×C4—1581no—
1408C22×C4—1581no—
1409C22×C4—1582no—
1410C22×C4—1582no—
1411C22×C4—1581no—
1412C22×C4—1581no—
1413C22×C4—1581no—
1414C22×C4—1581no—
1415C22×C4—1581no—
1416C22×C4—1581no—
1417C22×C4—1581no—
1418C22×C4—1581no—
1419C22×C4—1581no—
1420C22×C4—1581no—
1421C22×C4—1581no—
1422C22×C4C23×D7911yescharacteristic
1423C22×C4C23×D7911yescharacteristic
1424D8—22no—
1425D8—1582no—
1426D8—1582no—
1427D8—1582no—
1428M16—22no—
1429M16—1582no—
1430M16—1582no—
1431M16—1582no—
1432C2×C8—22no—
1433C2×C8—791no—
1434C2×C8—794no—
1435C2×C8—791no—
1436C2×C8—791no—
1437C2×C8—791no—
1438C2×C8—1582no—
1439C2×C8—1582no—
1440C2×C8—1582no—
1441C2×C8—1582no—
1442C2×C8—1582no—
1443C2×C8—1582no—
1444C2×C8C23×D7911yescharacteristic
1445C2×C8C23×D7911yescharacteristic
1446C2×C8C23×D7911yescharacteristic
1447C2×C8C23×D7911yescharacteristic
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—791no—
1455C4⋊C4—791no—
1456C4⋊C4—791no—
1457C4⋊C4—791no—
1458C4⋊C4—791no—
1459C4⋊C4—791no—
1460C4⋊C4—791no—
1461C4⋊C4—791no—
1462C4⋊C4—791no—
1463C4⋊C4—791no—
1464C4⋊C4—791no—
1465C4⋊C4—1581no—
1466C4⋊C4—1581no—
1467C4⋊C4—1581no—
1468C4⋊C4—1581no—
1469C4⋊C4—1581no—
1470C4⋊C4—1581no—
1471C4⋊C4—1581no—
1472C4⋊C4—1581no—
1473C4⋊C4—1581no—
1474C4⋊C4—1581no—
1475C4⋊C4—1581no—
1476C4⋊C4—1581no—
1477C4⋊C4—1581no—
1478C4⋊C4—1581no—
1479C4⋊C4—1581no—
1480C4⋊C4—1581no—
1481C4⋊C4D4×D7911yescharacteristic
1482C4⋊C4C23×D7911yescharacteristic
1483C4⋊C4C23×D7911yescharacteristic
1484C4⋊C4C23×D7911yescharacteristic
1485C4⋊C4C23×D7911yescharacteristic
1486C4⋊C4C23×D7911yescharacteristic
1487C4⋊C4C23×D7911yescharacteristic
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—791no—
1496C22⋊C4—791no—
1497C22⋊C4—791no—
1498C22⋊C4—791no—
1499C22⋊C4—791no—
1500C22⋊C4—791no—
1501C22⋊C4—791no—
1502C22⋊C4—791no—
1503C22⋊C4—1581no—
1504C22⋊C4—1581no—
1505C22⋊C4—1581no—
1506C22⋊C4—1581no—
1507C22⋊C4—1581no—
1508C22⋊C4—1581no—
1509C22⋊C4—1581no—
1510C22⋊C4—1581no—
1511C22⋊C4—1581no—
1512C22⋊C4—1581no—
1513C22⋊C4—1581no—
1514C22⋊C4—1581no—
1515C22⋊C4—1581no—
1516C22⋊C4—1581no—
1517C22⋊C4—1581no—
1518C22⋊C4—1581no—
1519C22⋊C4—1581no—
1520C22⋊C4—1581no—
1521C22⋊C4—1581no—
1522C22⋊C4—1581no—
1523C22⋊C4—1581no—
1524C22⋊C4—1581no—
1525C22⋊C4—1581no—
1526C22⋊C4—1581no—
1527C22⋊C4—1581no—
1528C22⋊C4—1581no—
1529C22⋊C4—1581no—
1530C22⋊C4—1581no—
1531C22⋊C4—1581no—
1532C22⋊C4D4×D7911yescharacteristic
1533C22⋊C4D4×D7911yescharacteristic
1534C42—21no—
1535C42—791no—
1536C42—1581no—
1537C42—1581no—
1538C42—1581no—
1539C42—1581no—
1540C42—1581no—
1541C42—1581no—
1542C42—1581no—
1543C42—1581no—
1544C42—1581no—
1545C42—1581no—
1546C42—1581no—
1547C42C23×D7911yescharacteristic
1548C23—21no—
1549C23—21no—
1550C23—3161no—
1551C23—3162no—
1552C23—3162no—
1553C23—791no—
1554C23—791no—
1555C23—791no—
1556C23—6321no—
1557C23—6321no—
1558C23—6321no—
1559C23—6321no—
1560C23—1582no—
1561C23—1581no—
1562C23—1581no—
1563C23—1582no—
1564C23C2×D4×D7911yescharacteristic
1565C23C2×D4×D7911yescharacteristic
1566Q8—81no—
1567Q8—6321no—
1568Q8—6321no—
1569Q8—6321no—
1570Q8—1582no—
1571D4—22no—
1572D4—21no—
1573D4—21no—
1574D4—21no—
1575D4—21no—
1576D4—42no—
1577D4—42no—
1578D4—81no—
1579D4—81no—
1580D4—3161no—
1581D4—3162no—
1582D4—3162no—
1583D4—3162no—
1584D4—3162no—
1585D4—3161no—
1586D4—6321no—
1587D4—6321no—
1588D4—6321no—
1589D4—6321no—
1590D4—6321no—
1591D4—6321no—
1592D4—6321no—
1593D4—6321no—
1594D4—6321no—
1595D4—6321no—
1596D4—1582no—
1597D4—1582no—
1598D4—1582no—
1599D4—1582no—
1600D4—1581no—
1601D4—1581no—
1602D4—1581no—
1603D4—1581no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—42no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4—81no—
1618C2×C4—81no—
1619C2×C4—3162no—
1620C2×C4—791no—
1621C2×C4—792no—
1622C2×C4—792no—
1623C2×C4—791no—
1624C2×C4—791no—
1625C2×C4—791no—
1626C2×C4—791no—
1627C2×C4—6321no—
1628C2×C4—6321no—
1629C2×C4—6321no—
1630C2×C4—6321no—
1631C2×C4—6321no—
1632C2×C4—6321no—
1633C2×C4—6321no—
1634C2×C4—6321no—
1635C2×C4—6321no—
1636C2×C4—6321no—
1637C2×C4—6321no—
1638C2×C4—6321no—
1639C2×C4—1582no—
1640C2×C4—1582no—
1641C2×C4—1581no—
1642C2×C4—1581no—
1643C2×C4—1581no—
1644C2×C4—1581no—
1645C2×C4—1581no—
1646C2×C4—1581no—
1647C2×C4—1582no—
1648C2×C4—1581no—
1649C2×C4—1581no—
1650C2×C4—1581no—
1651C2×C4—1581no—
1652C2×C4C2×D4×D7911yescharacteristic
1653C2×C4C2×D4×D7911yescharacteristic
1654C2×C4C2×D4×D7911yescharacteristic
1655C2×C4C2×D4×D7911yescharacteristic
1656C2×C4C24×D7911yescharacteristic
1657C8—21no—
1658C8—21no—
1659C8—21no—
1660C8—792no—
1661C8—1581no—
1662C8—1581no—
1663C8—1581no—
1664C8#41×D7912yes—
1665C22—21no—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—21no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—3164no—
1677C22—3161no—
1678C22—3161no—
1679C22—3161no—
1680C22—3161no—
1681C22—3161no—
1682C22—3161no—
1683C22—792no—
1684C22—1581no—
1685C22—1581no—
1686C22—1581no—
1687C22—1581no—
1688C22—1581no—
1689C22—1581no—
1690C22—1581no—
1691C22—1581no—
1692C22—12642no—
1693C22—12642no—
1694C22#1909936712yes—
1695C22C22×D4×D7911yescharacteristic
1696C4—21no—
1697C4—21no—
1698C4—21no—
1699C4—21no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—3161no—
1707C4—3161no—
1708C4—3161no—
1709C4—3161no—
1710C4—3161no—
1711C4—3161no—
1712C4—792no—
1713C4—1581no—
1714C4—1581no—
1715C4—1581no—
1716C4—1581no—
1717C4C2×#41×D7911yescharacteristic
1718C42−1+4×D7911yescharacteristic
1719C2—22no—
1720C2—41no—
1721C2—81no—
1722C2—81no—
1723C2—3161no—
1724C2—3161no—
1725C2—6321no—
1726C2—6321no—
1727C2—1582no—
1728C2#547×D7911yescharacteristic
1729C2C2×#1909936711yescharacteristic
1730C2#2377817211yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3345C2
socleC22×C79C23×D4
hypercenter#3345D79
hypocenterC79#61262
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3345

Complements

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

NH ≅ G/Ntype
1. #23777131C2semidirect
2. #23777124C2semidirect
3. #23775905C2semidirect
4. #23775901C2semidirect
5. #23775899C2semidirect
6. #23775895C2semidirect
7. #23775876C2semidirect
8. #23775872C2semidirect
9. #23775866C2semidirect
10. #23775821C2semidirect
11. #23775817C2semidirect
12. #23775800C2semidirect
13. #23775800C2semidirect
14. #23775799C2semidirect
15. #23775796C2semidirect
16. #23775743C2semidirect
17. #23775742C2semidirect
18. #23773935C2semidirect
19. #23773357C2semidirect
20. #23773353C2semidirect
21. #23773337C2semidirect
22. #23773335C2semidirect
23. #23773230C2semidirect
24. #23773226C2semidirect
25. #23773046C2semidirect
26. #466×D79C2semidirect
27. #23772249C2semidirect
28. #23772091C2semidirect
29. #23771999C2semidirect
30. C2×#19098598C2semidirect
31. C79×#3345C2semidirect
35. #19099279C22semidirect
36. #19099278C22semidirect
37. #19099277C22semidirect
38. #19099276C22semidirect
39. #19099266C22semidirect
40. #19099265C22semidirect
41. #19099265C22semidirect
42. #19099263C22semidirect
43. #19099261C22semidirect
44. #19099261C22semidirect
45. #19099259C22semidirect
50. #19099217C22semidirect
51. #19099214C22semidirect
52. #19099213C22semidirect
78. #19098972C22semidirect
79. #19098971C22semidirect
80. #19098970C22semidirect
81. #19098967C22semidirect
82. #19098966C22semidirect
83. #19098963C22semidirect
84. #19098962C22semidirect
85. #19098890C22semidirect
86. #19098890C22semidirect
87. #19098889C22semidirect
88. #19098889C22semidirect
89. #19098889C22semidirect
90. #19098889C22semidirect
91. #19098888C22semidirect
92. #19098887C22semidirect
93. #19098886C22semidirect
94. #19098886C22semidirect
95. #19098886C22semidirect
96. #19098886C22semidirect
97. #19098885C22semidirect
98. #19098885C22semidirect
99. #19098884C22semidirect
100. #19098883C22semidirect
101. #19098882C22semidirect
102. #19098882C22semidirect
103. #19098881C22semidirect
104. #19098880C22semidirect
105. #19098879C22semidirect
106. #19098878C22semidirect
107. #19098877C22semidirect
108. #19098876C22semidirect
109. #19098876C22semidirect
110. #19098875C22semidirect
111. #19098874C22semidirect
112. #19098874C22semidirect
113. #19098865C22semidirect
114. #19098865C22semidirect
115. #19098864C22semidirect
116. #19098863C22semidirect
117. #19098862C22semidirect
118. #19098862C22semidirect
119. #19098860C22semidirect
120. #19098854C22semidirect
121. #19098852C22semidirect
122. #19098851C22semidirect
123. #19098843C22semidirect
124. #19098842C22semidirect
125. #19098841C22semidirect
126. #19098840C22semidirect
127. #19098817C22semidirect
128. #19098816C22semidirect
129. #19098813C22semidirect
134. #19098798C22semidirect
135. #19098798C22semidirect
138. #19098797C22semidirect
139. #19098797C22semidirect
141. #19098676C22semidirect
142. #19098675C22semidirect
143. #19098674C22semidirect
144. C4×#11929609C22semidirect
145. C4×#11929609C22semidirect
146. #19098643C22semidirect
147. #19098643C22semidirect
148. #19098636C22semidirect
149. #19098634C22semidirect
150. #19098632C22semidirect
151. D4×C79⋊C8C22semidirect
152. #19098628C22semidirect
153. (C22⋊D79)⋊C8C22semidirect
154. (C22⋊D79)⋊C8C22semidirect
155. #19098605C22semidirect
158. #19098604C22semidirect
161. #19098602C22semidirect
162. #19098599C22semidirect
167. #19098598C22semidirect
168. #19098598C22semidirect
169. #19098598C22semidirect
170. #19098598C22semidirect
171. #19098598C22semidirect
172. C2×#14579094C22semidirect
173. C2×#14579094C22semidirect
174. C2×#14579094C22semidirect
176. #107×D79C22semidirect
177. C2×#14579093C22semidirect
188. #553×C79C22semidirect
189. #547×C79C22semidirect
190. #501×C79C22semidirect
191. #482×C79C22semidirect
192. #481×C79C22semidirect
193. #481×C79C22semidirect
194. #480×C79C22semidirect
195. #478×C79C22semidirect
196. #476×C79C22semidirect
197. #469×C79C22semidirect
199. #442×C79C22semidirect
200. #435×C79C22semidirect
201. #428×C79C22semidirect
202. C2×#106×C79C22semidirect
558. C8×D79#41semidirect
875. #3345D79semidirect
897. C79#61262semidirect
912. #553C2×D79semidirect
920. #547C2×D79semidirect
949. #501C2×D79semidirect
969. #482C2×D79semidirect
976. #481C2×D79semidirect
977. #481C2×D79semidirect
985. #480C2×D79semidirect
993. #478C2×D79semidirect
997. #476C2×D79semidirect
1005. #469C2×D79semidirect
1021. #442C2×D79semidirect
1029. #435C2×D79semidirect
1041. #428C2×D79semidirect
1058. C2×#106C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237771312
#237771242
#237759052
#237759012
#237758992
#237758952
#237758762
#237758722
#237758662
#237758212
#237758172
#237758002
#237757992
#237757962
#237757432
#237757422
#237739352
#237733572
#237733532
#237733372
#237733352
#237732302
#237732262
#237730462
#466×D792
#237722492
#237720912
#237719992
C2×#190985982
C79×#33452
#6126279